- FindStat

Identifier

Mp00134: Standard tableaux —descent word⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets

Images

[[1,2]] => 0 => ([(0,1)],2)

[[1],[2]] => 1 => ([(0,1)],2)

[[1,2,3]] => 00 => ([(0,2),(2,1)],3)

[[1,3],[2]] => 10 => ([(0,1),(0,2),(1,3),(2,3)],4)

[[1,2],[3]] => 01 => ([(0,1),(0,2),(1,3),(2,3)],4)

[[1],[2],[3]] => 11 => ([(0,2),(2,1)],3)

[[1,2,3,4]] => 000 => ([(0,3),(2,1),(3,2)],4)

[[1,3,4],[2]] => 100 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)

[[1,2,4],[3]] => 010 => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)

[[1,2,3],[4]] => 001 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)

[[1,3],[2,4]] => 101 => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)

[[1,2],[3,4]] => 010 => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)

[[1,4],[2],[3]] => 110 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)

[[1,3],[2],[4]] => 101 => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)

[[1,2],[3],[4]] => 011 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)

[[1],[2],[3],[4]] => 111 => ([(0,3),(2,1),(3,2)],4)

[[1,2,3,4,5]] => 0000 => ([(0,4),(2,3),(3,1),(4,2)],5)

[[1,3,4,5],[2]] => 1000 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)

[[1,2,4,5],[3]] => 0100 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,2,3,5],[4]] => 0010 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,2,3,4],[5]] => 0001 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)

[[1,3,5],[2,4]] => 1010 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,2,5],[3,4]] => 0100 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,3,4],[2,5]] => 1001 => ([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)

[[1,2,4],[3,5]] => 0101 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,2,3],[4,5]] => 0010 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,4,5],[2],[3]] => 1100 => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)

[[1,3,5],[2],[4]] => 1010 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,2,5],[3],[4]] => 0110 => ([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)

[[1,3,4],[2],[5]] => 1001 => ([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)

[[1,2,4],[3],[5]] => 0101 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,2,3],[4],[5]] => 0011 => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)

[[1,4],[2,5],[3]] => 1101 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,3],[2,5],[4]] => 1010 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,2],[3,5],[4]] => 0110 => ([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9)

[[1,3],[2,4],[5]] => 1011 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,2],[3,4],[5]] => 0101 => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[1,5],[2],[3],[4]] => 1110 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)

[[1,4],[2],[3],[5]] => 1101 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,3],[2],[4],[5]] => 1011 => ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)

[[1,2],[3],[4],[5]] => 0111 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)

[[1],[2],[3],[4],[5]] => 1111 => ([(0,4),(2,3),(3,1),(4,2)],5)

[[1,2,3,4,5,6]] => 00000 => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)

[[1,3,4,5,6],[2]] => 10000 => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)

[[1,2,4,5,6],[3]] => 01000 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,2,3,5,6],[4]] => 00100 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,2,3,4,6],[5]] => 00010 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,2,3,4,5],[6]] => 00001 => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)

[[1,3,5,6],[2,4]] => 10100 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,5,6],[3,4]] => 01000 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,3,4,6],[2,5]] => 10010 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,4,6],[3,5]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,3,6],[4,5]] => 00100 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,3,4,5],[2,6]] => 10001 => ([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)

[[1,2,4,5],[3,6]] => 01001 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,3,5],[4,6]] => 00101 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,3,4],[5,6]] => 00010 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,4,5,6],[2],[3]] => 11000 => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)

[[1,3,5,6],[2],[4]] => 10100 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,5,6],[3],[4]] => 01100 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,4,6],[2],[5]] => 10010 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,4,6],[3],[5]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,3,6],[4],[5]] => 00110 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,4,5],[2],[6]] => 10001 => ([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)

[[1,2,4,5],[3],[6]] => 01001 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,3,5],[4],[6]] => 00101 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,3,4],[5],[6]] => 00011 => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)

[[1,3,5],[2,4,6]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,5],[3,4,6]] => 01001 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,3,4],[2,5,6]] => 10010 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,4],[3,5,6]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,3],[4,5,6]] => 00100 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,4,6],[2,5],[3]] => 11010 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,3,6],[2,5],[4]] => 10100 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,6],[3,5],[4]] => 01100 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,6],[2,4],[5]] => 10110 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,6],[3,4],[5]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,4,5],[2,6],[3]] => 11001 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,5],[2,6],[4]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,5],[3,6],[4]] => 01101 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,3,4],[2,6],[5]] => 10010 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,4],[3,6],[5]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,3],[4,6],[5]] => 00110 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,5],[2,4],[6]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,5],[3,4],[6]] => 01001 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,3,4],[2,5],[6]] => 10011 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,2,4],[3,5],[6]] => 01011 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,3],[4,5],[6]] => 00101 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,5,6],[2],[3],[4]] => 11100 => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)

[[1,4,6],[2],[3],[5]] => 11010 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,3,6],[2],[4],[5]] => 10110 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2,6],[3],[4],[5]] => 01110 => ([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)

[[1,4,5],[2],[3],[6]] => 11001 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,3,5],[2],[4],[6]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2,5],[3],[4],[6]] => 01101 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,3,4],[2],[5],[6]] => 10011 => ([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13)

[[1,2,4],[3],[5],[6]] => 01011 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,2,3],[4],[5],[6]] => 00111 => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)

[[1,4],[2,5],[3,6]] => 11011 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,3],[2,5],[4,6]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2],[3,5],[4,6]] => 01101 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

>>> Load all 2325 entries. <<<

[[1,3],[2,4],[5,6]] => 10110 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2],[3,4],[5,6]] => 01010 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,5],[2,6],[3],[4]] => 11101 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,4],[2,6],[3],[5]] => 11010 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,3],[2,6],[4],[5]] => 10110 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,2],[3,6],[4],[5]] => 01110 => ([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12)

[[1,4],[2,5],[3],[6]] => 11011 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,3],[2,5],[4],[6]] => 10101 => ([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)

[[1,2],[3,5],[4],[6]] => 01101 => ([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12)

[[1,3],[2,4],[5],[6]] => 10111 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,2],[3,4],[5],[6]] => 01011 => ([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12)

[[1,6],[2],[3],[4],[5]] => 11110 => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)

[[1,5],[2],[3],[4],[6]] => 11101 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,4],[2],[3],[5],[6]] => 11011 => ([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12)

[[1,3],[2],[4],[5],[6]] => 10111 => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12)

[[1,2],[3],[4],[5],[6]] => 01111 => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)

[[1],[2],[3],[4],[5],[6]] => 11111 => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)

[[1,2,3,4,5,6,7]] => 000000 => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)

[[1,3,4,5,6,7],[2]] => 100000 => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)

[[1,2,4,5,6,7],[3]] => 010000 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,2,3,5,6,7],[4]] => 001000 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,2,3,4,6,7],[5]] => 000100 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,2,3,4,5,7],[6]] => 000010 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,2,3,4,5,6],[7]] => 000001 => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)

[[1,3,5,6,7],[2,4]] => 101000 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,5,6,7],[3,4]] => 010000 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,3,4,6,7],[2,5]] => 100100 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,4,6,7],[3,5]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,6,7],[4,5]] => 001000 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3,4,5,7],[2,6]] => 100010 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,4,5,7],[3,6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,3,5,7],[4,6]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,4,7],[5,6]] => 000100 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3,4,5,6],[2,7]] => 100001 => ([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)

[[1,2,4,5,6],[3,7]] => 010001 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,3,5,6],[4,7]] => 001001 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,3,4,6],[5,7]] => 000101 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,3,4,5],[6,7]] => 000010 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,4,5,6,7],[2],[3]] => 110000 => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)

[[1,3,5,6,7],[2],[4]] => 101000 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,5,6,7],[3],[4]] => 011000 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,3,4,6,7],[2],[5]] => 100100 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,4,6,7],[3],[5]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,6,7],[4],[5]] => 001100 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,4,5,7],[2],[6]] => 100010 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,4,5,7],[3],[6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,3,5,7],[4],[6]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,4,7],[5],[6]] => 000110 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,3,4,5,6],[2],[7]] => 100001 => ([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)

[[1,2,4,5,6],[3],[7]] => 010001 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,3,5,6],[4],[7]] => 001001 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,3,4,6],[5],[7]] => 000101 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,3,4,5],[6],[7]] => 000011 => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)

[[1,3,5,7],[2,4,6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5,7],[3,4,6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,3,4,7],[2,5,6]] => 100100 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,4,7],[3,5,6]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,7],[4,5,6]] => 001000 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3,5,6],[2,4,7]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,5,6],[3,4,7]] => 010001 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,3,4,6],[2,5,7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4,6],[3,5,7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3,6],[4,5,7]] => 001001 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,4,5],[2,6,7]] => 100010 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,4,5],[3,6,7]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,3,5],[4,6,7]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,4],[5,6,7]] => 000100 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,4,6,7],[2,5],[3]] => 110100 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,3,6,7],[2,5],[4]] => 101000 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,6,7],[3,5],[4]] => 011000 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,3,6,7],[2,4],[5]] => 101100 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,6,7],[3,4],[5]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,4,5,7],[2,6],[3]] => 110010 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5,7],[2,6],[4]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5,7],[3,6],[4]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,4,7],[2,6],[5]] => 100100 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,4,7],[3,6],[5]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,7],[4,6],[5]] => 001100 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,5,7],[2,4],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5,7],[3,4],[6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,3,4,7],[2,5],[6]] => 100110 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,2,4,7],[3,5],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,3,7],[4,5],[6]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,4,5,6],[2,7],[3]] => 110001 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,3,5,6],[2,7],[4]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,5,6],[3,7],[4]] => 011001 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,3,4,6],[2,7],[5]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4,6],[3,7],[5]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3,6],[4,7],[5]] => 001101 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,4,5],[2,7],[6]] => 100010 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,4,5],[3,7],[6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,3,5],[4,7],[6]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3,4],[5,7],[6]] => 000110 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,3,5,6],[2,4],[7]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,5,6],[3,4],[7]] => 010001 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,3,4,6],[2,5],[7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4,6],[3,5],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3,6],[4,5],[7]] => 001001 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,4,5],[2,6],[7]] => 100011 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,2,4,5],[3,6],[7]] => 010011 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,3,5],[4,6],[7]] => 001011 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,2,3,4],[5,6],[7]] => 000101 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,5,6,7],[2],[3],[4]] => 111000 => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)

[[1,4,6,7],[2],[3],[5]] => 110100 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,3,6,7],[2],[4],[5]] => 101100 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,6,7],[3],[4],[5]] => 011100 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,4,5,7],[2],[3],[6]] => 110010 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5,7],[2],[4],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5,7],[3],[4],[6]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,4,7],[2],[5],[6]] => 100110 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,2,4,7],[3],[5],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,3,7],[4],[5],[6]] => 001110 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,4,5,6],[2],[3],[7]] => 110001 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,3,5,6],[2],[4],[7]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,5,6],[3],[4],[7]] => 011001 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,3,4,6],[2],[5],[7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4,6],[3],[5],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3,6],[4],[5],[7]] => 001101 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,4,5],[2],[6],[7]] => 100011 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,2,4,5],[3],[6],[7]] => 010011 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,3,5],[4],[6],[7]] => 001011 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,2,3,4],[5],[6],[7]] => 000111 => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)

[[1,4,6],[2,5,7],[3]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,6],[2,5,7],[4]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,6],[3,5,7],[4]] => 011001 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,3,6],[2,4,7],[5]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,6],[3,4,7],[5]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,4,5],[2,6,7],[3]] => 110010 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5],[2,6,7],[4]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5],[3,6,7],[4]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,4],[2,6,7],[5]] => 100100 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,2,4],[3,6,7],[5]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,3],[4,6,7],[5]] => 001100 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,5],[2,4,7],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5],[3,4,7],[6]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,3,4],[2,5,7],[6]] => 100110 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,2,4],[3,5,7],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,3],[4,5,7],[6]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,5],[2,4,6],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,5],[3,4,6],[7]] => 010011 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,4],[2,5,6],[7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4],[3,5,6],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3],[4,5,6],[7]] => 001001 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,4,7],[2,5],[3,6]] => 110110 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,7],[2,5],[4,6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,7],[3,5],[4,6]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,7],[2,4],[5,6]] => 101100 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,7],[3,4],[5,6]] => 010100 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,4,6],[2,5],[3,7]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,6],[2,5],[4,7]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,6],[3,5],[4,7]] => 011001 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,3,6],[2,4],[5,7]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,6],[3,4],[5,7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,4,5],[2,6],[3,7]] => 110011 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,5],[2,6],[4,7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,5],[3,6],[4,7]] => 011011 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,4],[2,6],[5,7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4],[3,6],[5,7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3],[4,6],[5,7]] => 001101 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5],[2,4],[6,7]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5],[3,4],[6,7]] => 010010 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,3,4],[2,5],[6,7]] => 100110 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,2,4],[3,5],[6,7]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,3],[4,5],[6,7]] => 001010 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,5,7],[2,6],[3],[4]] => 111010 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,4,7],[2,6],[3],[5]] => 110100 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,3,7],[2,6],[4],[5]] => 101100 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,2,7],[3,6],[4],[5]] => 011100 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,4,7],[2,5],[3],[6]] => 110110 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,7],[2,5],[4],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,7],[3,5],[4],[6]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,7],[2,4],[5],[6]] => 101110 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,7],[3,4],[5],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,5,6],[2,7],[3],[4]] => 111001 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,4,6],[2,7],[3],[5]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,6],[2,7],[4],[5]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,6],[3,7],[4],[5]] => 011101 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,4,5],[2,7],[3],[6]] => 110010 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5],[2,7],[4],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,5],[3,7],[4],[6]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3,4],[2,7],[5],[6]] => 100110 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,2,4],[3,7],[5],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,3],[4,7],[5],[6]] => 001110 => ([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17)

[[1,4,6],[2,5],[3],[7]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,6],[2,5],[4],[7]] => 101001 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,6],[3,5],[4],[7]] => 011001 => ([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17)

[[1,3,6],[2,4],[5],[7]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,6],[3,4],[5],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,4,5],[2,6],[3],[7]] => 110011 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,5],[2,6],[4],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,5],[3,6],[4],[7]] => 011011 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,4],[2,6],[5],[7]] => 100101 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,2,4],[3,6],[5],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2,3],[4,6],[5],[7]] => 001101 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,5],[2,4],[6],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,5],[3,4],[6],[7]] => 010011 => ([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17)

[[1,3,4],[2,5],[6],[7]] => 100111 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,2,4],[3,5],[6],[7]] => 010111 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,3],[4,5],[6],[7]] => 001011 => ([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17)

[[1,6,7],[2],[3],[4],[5]] => 111100 => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)

[[1,5,7],[2],[3],[4],[6]] => 111010 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,4,7],[2],[3],[5],[6]] => 110110 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,7],[2],[4],[5],[6]] => 101110 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2,7],[3],[4],[5],[6]] => 011110 => ([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)

[[1,5,6],[2],[3],[4],[7]] => 111001 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,4,6],[2],[3],[5],[7]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3,6],[2],[4],[5],[7]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2,6],[3],[4],[5],[7]] => 011101 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,4,5],[2],[3],[6],[7]] => 110011 => ([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17)

[[1,3,5],[2],[4],[6],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2,5],[3],[4],[6],[7]] => 011011 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3,4],[2],[5],[6],[7]] => 100111 => ([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17)

[[1,2,4],[3],[5],[6],[7]] => 010111 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,2,3],[4],[5],[6],[7]] => 001111 => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)

[[1,5],[2,6],[3,7],[4]] => 111011 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,4],[2,6],[3,7],[5]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3],[2,6],[4,7],[5]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2],[3,6],[4,7],[5]] => 011101 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,4],[2,5],[3,7],[6]] => 110110 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3],[2,5],[4,7],[6]] => 101010 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,2],[3,5],[4,7],[6]] => 011010 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,3],[2,4],[5,7],[6]] => 101110 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2],[3,4],[5,7],[6]] => 010110 => ([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16)

[[1,4],[2,5],[3,6],[7]] => 110111 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3],[2,5],[4,6],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2],[3,5],[4,6],[7]] => 011011 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3],[2,4],[5,6],[7]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2],[3,4],[5,6],[7]] => 010101 => ([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12)

[[1,6],[2,7],[3],[4],[5]] => 111101 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,5],[2,7],[3],[4],[6]] => 111010 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,4],[2,7],[3],[5],[6]] => 110110 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3],[2,7],[4],[5],[6]] => 101110 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,2],[3,7],[4],[5],[6]] => 011110 => ([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15)

[[1,5],[2,6],[3],[4],[7]] => 111011 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,4],[2,6],[3],[5],[7]] => 110101 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,3],[2,6],[4],[5],[7]] => 101101 => ([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15)

[[1,2],[3,6],[4],[5],[7]] => 011101 => ([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16)

[[1,4],[2,5],[3],[6],[7]] => 110111 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3],[2,5],[4],[6],[7]] => 101011 => ([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15)

[[1,2],[3,5],[4],[6],[7]] => 011011 => ([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15)

[[1,3],[2,4],[5],[6],[7]] => 101111 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,2],[3,4],[5],[6],[7]] => 010111 => ([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16)

[[1,7],[2],[3],[4],[5],[6]] => 111110 => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)

[[1,6],[2],[3],[4],[5],[7]] => 111101 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,5],[2],[3],[4],[6],[7]] => 111011 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,4],[2],[3],[5],[6],[7]] => 110111 => ([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16)

[[1,3],[2],[4],[5],[6],[7]] => 101111 => ([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15)

[[1,2],[3],[4],[5],[6],[7]] => 011111 => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)

[[1],[2],[3],[4],[5],[6],[7]] => 111111 => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)

[[1,2,3,4,5,6,7,8]] => 0000000 => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)

[[1,3,4,5,6,7,8],[2]] => 1000000 => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[1,2,4,5,6,7,8],[3]] => 0100000 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,2,3,5,6,7,8],[4]] => 0010000 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,2,3,4,6,7,8],[5]] => 0001000 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,2,3,4,5,7,8],[6]] => 0000100 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,2,3,4,5,6,8],[7]] => 0000010 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,2,3,4,5,6,7],[8]] => 0000001 => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[1,3,5,6,7,8],[2,4]] => 1010000 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,5,6,7,8],[3,4]] => 0100000 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,3,4,6,7,8],[2,5]] => 1001000 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,4,6,7,8],[3,5]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,6,7,8],[4,5]] => 0010000 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3,4,5,7,8],[2,6]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5,7,8],[3,6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5,7,8],[4,6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4,7,8],[5,6]] => 0001000 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,3,4,5,6,8],[2,7]] => 1000010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,4,5,6,8],[3,7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,3,5,6,8],[4,7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,4,6,8],[5,7]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,4,5,8],[6,7]] => 0000100 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3,4,5,6,7],[2,8]] => 1000001 => ([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)

[[1,2,4,5,6,7],[3,8]] => 0100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,3,5,6,7],[4,8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,3,4,6,7],[5,8]] => 0001001 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,3,4,5,7],[6,8]] => 0000101 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,3,4,5,6],[7,8]] => 0000010 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,4,5,6,7,8],[2],[3]] => 1100000 => ([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)

[[1,3,5,6,7,8],[2],[4]] => 1010000 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,5,6,7,8],[3],[4]] => 0110000 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,3,4,6,7,8],[2],[5]] => 1001000 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,4,6,7,8],[3],[5]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,6,7,8],[4],[5]] => 0011000 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,4,5,7,8],[2],[6]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5,7,8],[3],[6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5,7,8],[4],[6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4,7,8],[5],[6]] => 0001100 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,4,5,6,8],[2],[7]] => 1000010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,4,5,6,8],[3],[7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,3,5,6,8],[4],[7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,4,6,8],[5],[7]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,4,5,8],[6],[7]] => 0000110 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,3,4,5,6,7],[2],[8]] => 1000001 => ([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)

[[1,2,4,5,6,7],[3],[8]] => 0100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,3,5,6,7],[4],[8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,3,4,6,7],[5],[8]] => 0001001 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,3,4,5,7],[6],[8]] => 0000101 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,3,4,5,6],[7],[8]] => 0000011 => ([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)

[[1,3,5,7,8],[2,4,6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,7,8],[3,4,6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,7,8],[2,5,6]] => 1001000 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,4,7,8],[3,5,6]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,7,8],[4,5,6]] => 0010000 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3,5,6,8],[2,4,7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6,8],[3,4,7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,3,4,6,8],[2,5,7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6,8],[3,5,7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6,8],[4,5,7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,5,8],[2,6,7]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5,8],[3,6,7]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5,8],[4,6,7]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4,8],[5,6,7]] => 0001000 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,3,5,6,7],[2,4,8]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,5,6,7],[3,4,8]] => 0100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,3,4,6,7],[2,5,8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,6,7],[3,5,8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,6,7],[4,5,8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,4,5,7],[2,6,8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5,7],[3,6,8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5,7],[4,6,8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4,7],[5,6,8]] => 0001001 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3,4,5,6],[2,7,8]] => 1000010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,4,5,6],[3,7,8]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,3,5,6],[4,7,8]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,4,6],[5,7,8]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,4,5],[6,7,8]] => 0000100 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,4,6,7,8],[2,5],[3]] => 1101000 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,3,6,7,8],[2,5],[4]] => 1010000 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,6,7,8],[3,5],[4]] => 0110000 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,3,6,7,8],[2,4],[5]] => 1011000 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,6,7,8],[3,4],[5]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,5,7,8],[2,6],[3]] => 1100100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5,7,8],[2,6],[4]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,7,8],[3,6],[4]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,4,7,8],[2,6],[5]] => 1001000 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,4,7,8],[3,6],[5]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,7,8],[4,6],[5]] => 0011000 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5,7,8],[2,4],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,7,8],[3,4],[6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,7,8],[2,5],[6]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4,7,8],[3,5],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3,7,8],[4,5],[6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,4,5,6,8],[2,7],[3]] => 1100010 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,5,6,8],[2,7],[4]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6,8],[3,7],[4]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,6,8],[2,7],[5]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6,8],[3,7],[5]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6,8],[4,7],[5]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,4,5,8],[2,7],[6]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5,8],[3,7],[6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5,8],[4,7],[6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4,8],[5,7],[6]] => 0001100 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5,6,8],[2,4],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6,8],[3,4],[7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,3,4,6,8],[2,5],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6,8],[3,5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6,8],[4,5],[7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,5,8],[2,6],[7]] => 1000110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,5,8],[3,6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,3,5,8],[4,6],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,3,4,8],[5,6],[7]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,5,6,7],[2,8],[3]] => 1100001 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,3,5,6,7],[2,8],[4]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,5,6,7],[3,8],[4]] => 0110001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,3,4,6,7],[2,8],[5]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,6,7],[3,8],[5]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,6,7],[4,8],[5]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,4,5,7],[2,8],[6]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5,7],[3,8],[6]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5,7],[4,8],[6]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4,7],[5,8],[6]] => 0001101 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,4,5,6],[2,8],[7]] => 1000010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,4,5,6],[3,8],[7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,3,5,6],[4,8],[7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,4,6],[5,8],[7]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,4,5],[6,8],[7]] => 0000110 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,3,5,6,7],[2,4],[8]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,5,6,7],[3,4],[8]] => 0100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,3,4,6,7],[2,5],[8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,6,7],[3,5],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,6,7],[4,5],[8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,4,5,7],[2,6],[8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5,7],[3,6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5,7],[4,6],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4,7],[5,6],[8]] => 0001001 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3,4,5,6],[2,7],[8]] => 1000011 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,2,4,5,6],[3,7],[8]] => 0100011 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,3,5,6],[4,7],[8]] => 0010011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,2,3,4,6],[5,7],[8]] => 0001011 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,2,3,4,5],[6,7],[8]] => 0000101 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,5,6,7,8],[2],[3],[4]] => 1110000 => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)

[[1,4,6,7,8],[2],[3],[5]] => 1101000 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,3,6,7,8],[2],[4],[5]] => 1011000 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,6,7,8],[3],[4],[5]] => 0111000 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,5,7,8],[2],[3],[6]] => 1100100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5,7,8],[2],[4],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,7,8],[3],[4],[6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,4,7,8],[2],[5],[6]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4,7,8],[3],[5],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3,7,8],[4],[5],[6]] => 0011100 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,4,5,6,8],[2],[3],[7]] => 1100010 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,5,6,8],[2],[4],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6,8],[3],[4],[7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,6,8],[2],[5],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6,8],[3],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6,8],[4],[5],[7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,4,5,8],[2],[6],[7]] => 1000110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,5,8],[3],[6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,3,5,8],[4],[6],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,3,4,8],[5],[6],[7]] => 0001110 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,5,6,7],[2],[3],[8]] => 1100001 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,3,5,6,7],[2],[4],[8]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,5,6,7],[3],[4],[8]] => 0110001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,3,4,6,7],[2],[5],[8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,6,7],[3],[5],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,6,7],[4],[5],[8]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,4,5,7],[2],[6],[8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5,7],[3],[6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5,7],[4],[6],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4,7],[5],[6],[8]] => 0001101 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,4,5,6],[2],[7],[8]] => 1000011 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,2,4,5,6],[3],[7],[8]] => 0100011 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,3,5,6],[4],[7],[8]] => 0010011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,2,3,4,6],[5],[7],[8]] => 0001011 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,2,3,4,5],[6],[7],[8]] => 0000111 => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)

[[1,3,5,7],[2,4,6,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,4,6,8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4,7],[2,5,6,8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,7],[3,5,6,8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,7],[4,5,6,8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,5,6],[2,4,7,8]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6],[3,4,7,8]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,3,4,6],[2,5,7,8]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6],[3,5,7,8]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6],[4,5,7,8]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,5],[2,6,7,8]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5],[3,6,7,8]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5],[4,6,7,8]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4],[5,6,7,8]] => 0001000 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,4,6,8],[2,5,7],[3]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6,8],[2,5,7],[4]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,5,7],[4]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6,8],[2,4,7],[5]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,4,7],[5]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5,8],[2,6,7],[3]] => 1100100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5,8],[2,6,7],[4]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,8],[3,6,7],[4]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,4,8],[2,6,7],[5]] => 1001000 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,2,4,8],[3,6,7],[5]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,3,8],[4,6,7],[5]] => 0011000 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5,8],[2,4,7],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,8],[3,4,7],[6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,8],[2,5,7],[6]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4,8],[3,5,7],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3,8],[4,5,7],[6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,5,8],[2,4,6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5,8],[3,4,6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,8],[2,5,6],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,8],[3,5,6],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,8],[4,5,6],[7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,4,6,7],[2,5,8],[3]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,6,7],[2,5,8],[4]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,6,7],[3,5,8],[4]] => 0110001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,3,6,7],[2,4,8],[5]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,6,7],[3,4,8],[5]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,4,5,7],[2,6,8],[3]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,7],[2,6,8],[4]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,6,8],[4]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4,7],[2,6,8],[5]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,7],[3,6,8],[5]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,7],[4,6,8],[5]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,7],[2,4,8],[6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,4,8],[6]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4,7],[2,5,8],[6]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4,7],[3,5,8],[6]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,7],[4,5,8],[6]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5,6],[2,7,8],[3]] => 1100010 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,5,6],[2,7,8],[4]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6],[3,7,8],[4]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,6],[2,7,8],[5]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6],[3,7,8],[5]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6],[4,7,8],[5]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,4,5],[2,7,8],[6]] => 1000100 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,2,4,5],[3,7,8],[6]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,3,5],[4,7,8],[6]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,2,3,4],[5,7,8],[6]] => 0001100 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5,6],[2,4,8],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6],[3,4,8],[7]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,3,4,6],[2,5,8],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6],[3,5,8],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6],[4,5,8],[7]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,5],[2,6,8],[7]] => 1000110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,5],[3,6,8],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,3,5],[4,6,8],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,3,4],[5,6,8],[7]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,3,5,7],[2,4,6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,4,6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4,7],[2,5,6],[8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,7],[3,5,6],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,7],[4,5,6],[8]] => 0010001 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,5,6],[2,4,7],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,5,6],[3,4,7],[8]] => 0100011 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,4,6],[2,5,7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4,6],[3,5,7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,6],[4,5,7],[8]] => 0010011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,4,5],[2,6,7],[8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5],[3,6,7],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5],[4,6,7],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4],[5,6,7],[8]] => 0001001 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4,7,8],[2,5],[3,6]] => 1101100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,7,8],[2,5],[4,6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,7,8],[3,5],[4,6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,7,8],[2,4],[5,6]] => 1011000 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,7,8],[3,4],[5,6]] => 0101000 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,6,8],[2,5],[3,7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6,8],[2,5],[4,7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,5],[4,7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6,8],[2,4],[5,7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,4],[5,7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5,8],[2,6],[3,7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,8],[2,6],[4,7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5,8],[3,6],[4,7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4,8],[2,6],[5,7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,8],[3,6],[5,7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,8],[4,6],[5,7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,8],[2,4],[6,7]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,8],[3,4],[6,7]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,8],[2,5],[6,7]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4,8],[3,5],[6,7]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3,8],[4,5],[6,7]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,4,6,7],[2,5],[3,8]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,6,7],[2,5],[4,8]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,6,7],[3,5],[4,8]] => 0110001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,3,6,7],[2,4],[5,8]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,6,7],[3,4],[5,8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,4,5,7],[2,6],[3,8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,7],[2,6],[4,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,6],[4,8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4,7],[2,6],[5,8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,7],[3,6],[5,8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,7],[4,6],[5,8]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,7],[2,4],[6,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,4],[6,8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4,7],[2,5],[6,8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4,7],[3,5],[6,8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,7],[4,5],[6,8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5,6],[2,7],[3,8]] => 1100011 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,3,5,6],[2,7],[4,8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,5,6],[3,7],[4,8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,4,6],[2,7],[5,8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4,6],[3,7],[5,8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,6],[4,7],[5,8]] => 0011011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,4,5],[2,7],[6,8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5],[3,7],[6,8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5],[4,7],[6,8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4],[5,7],[6,8]] => 0001101 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,5,6],[2,4],[7,8]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6],[3,4],[7,8]] => 0100010 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,3,4,6],[2,5],[7,8]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6],[3,5],[7,8]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6],[4,5],[7,8]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4,5],[2,6],[7,8]] => 1000110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,5],[3,6],[7,8]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,3,5],[4,6],[7,8]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,3,4],[5,6],[7,8]] => 0001010 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,5,7,8],[2,6],[3],[4]] => 1110100 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,4,7,8],[2,6],[3],[5]] => 1101000 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,3,7,8],[2,6],[4],[5]] => 1011000 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,7,8],[3,6],[4],[5]] => 0111000 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,7,8],[2,5],[3],[6]] => 1101100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,7,8],[2,5],[4],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,7,8],[3,5],[4],[6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,7,8],[2,4],[5],[6]] => 1011100 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,7,8],[3,4],[5],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,5,6,8],[2,7],[3],[4]] => 1110010 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,4,6,8],[2,7],[3],[5]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6,8],[2,7],[4],[5]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,7],[4],[5]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,5,8],[2,7],[3],[6]] => 1100100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5,8],[2,7],[4],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5,8],[3,7],[4],[6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,4,8],[2,7],[5],[6]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4,8],[3,7],[5],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3,8],[4,7],[5],[6]] => 0011100 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,4,6,8],[2,5],[3],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6,8],[2,5],[4],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,5],[4],[7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6,8],[2,4],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3,4],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5,8],[2,6],[3],[7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,8],[2,6],[4],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5,8],[3,6],[4],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4,8],[2,6],[5],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,8],[3,6],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,8],[4,6],[5],[7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,8],[2,4],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5,8],[3,4],[6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,8],[2,5],[6],[7]] => 1001110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,8],[3,5],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,3,8],[4,5],[6],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,5,6,7],[2,8],[3],[4]] => 1110001 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,6,7],[2,8],[3],[5]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,6,7],[2,8],[4],[5]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,6,7],[3,8],[4],[5]] => 0111001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,4,5,7],[2,8],[3],[6]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,7],[2,8],[4],[6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,8],[4],[6]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4,7],[2,8],[5],[6]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4,7],[3,8],[5],[6]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,7],[4,8],[5],[6]] => 0011101 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,4,5,6],[2,8],[3],[7]] => 1100010 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,5,6],[2,8],[4],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,5,6],[3,8],[4],[7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4,6],[2,8],[5],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4,6],[3,8],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3,6],[4,8],[5],[7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,4,5],[2,8],[6],[7]] => 1000110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,5],[3,8],[6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,3,5],[4,8],[6],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,3,4],[5,8],[6],[7]] => 0001110 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,6,7],[2,5],[3],[8]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,6,7],[2,5],[4],[8]] => 1010001 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,6,7],[3,5],[4],[8]] => 0110001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,3,6,7],[2,4],[5],[8]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,6,7],[3,4],[5],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,4,5,7],[2,6],[3],[8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,7],[2,6],[4],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,6],[4],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4,7],[2,6],[5],[8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4,7],[3,6],[5],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3,7],[4,6],[5],[8]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,7],[2,4],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3,4],[6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4,7],[2,5],[6],[8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4,7],[3,5],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,7],[4,5],[6],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5,6],[2,7],[3],[8]] => 1100011 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,3,5,6],[2,7],[4],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,5,6],[3,7],[4],[8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,4,6],[2,7],[5],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4,6],[3,7],[5],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,6],[4,7],[5],[8]] => 0011011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,4,5],[2,7],[6],[8]] => 1000101 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,4,5],[3,7],[6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,5],[4,7],[6],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,4],[5,7],[6],[8]] => 0001101 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,5,6],[2,4],[7],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,5,6],[3,4],[7],[8]] => 0100011 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,3,4,6],[2,5],[7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4,6],[3,5],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,6],[4,5],[7],[8]] => 0010011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,4,5],[2,6],[7],[8]] => 1000111 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,2,4,5],[3,6],[7],[8]] => 0100111 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,3,5],[4,6],[7],[8]] => 0010111 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,2,3,4],[5,6],[7],[8]] => 0001011 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,6,7,8],[2],[3],[4],[5]] => 1111000 => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)

[[1,5,7,8],[2],[3],[4],[6]] => 1110100 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,4,7,8],[2],[3],[5],[6]] => 1101100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,7,8],[2],[4],[5],[6]] => 1011100 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,7,8],[3],[4],[5],[6]] => 0111100 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,5,6,8],[2],[3],[4],[7]] => 1110010 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,4,6,8],[2],[3],[5],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6,8],[2],[4],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6,8],[3],[4],[5],[7]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,5,8],[2],[3],[6],[7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5,8],[2],[4],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5,8],[3],[4],[6],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4,8],[2],[5],[6],[7]] => 1001110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4,8],[3],[5],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,3,8],[4],[5],[6],[7]] => 0011110 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,5,6,7],[2],[3],[4],[8]] => 1110001 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,4,6,7],[2],[3],[5],[8]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,6,7],[2],[4],[5],[8]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,6,7],[3],[4],[5],[8]] => 0111001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,4,5,7],[2],[3],[6],[8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5,7],[2],[4],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5,7],[3],[4],[6],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4,7],[2],[5],[6],[8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4,7],[3],[5],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3,7],[4],[5],[6],[8]] => 0011101 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,4,5,6],[2],[3],[7],[8]] => 1100011 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,3,5,6],[2],[4],[7],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,5,6],[3],[4],[7],[8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,4,6],[2],[5],[7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4,6],[3],[5],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3,6],[4],[5],[7],[8]] => 0011011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,4,5],[2],[6],[7],[8]] => 1000111 => ([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)

[[1,2,4,5],[3],[6],[7],[8]] => 0100111 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,2,3,5],[4],[6],[7],[8]] => 0010111 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,2,3,4],[5],[6],[7],[8]] => 0001111 => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20)

[[1,4,7],[2,5,8],[3,6]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,5,8],[4,6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,7],[3,5,8],[4,6]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,7],[2,4,8],[5,6]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,7],[3,4,8],[5,6]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,4,6],[2,5,8],[3,7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6],[2,5,8],[4,7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,5,8],[4,7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6],[2,4,8],[5,7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,4,8],[5,7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5],[2,6,8],[3,7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,6,8],[4,7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,6,8],[4,7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4],[2,6,8],[5,7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4],[3,6,8],[5,7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3],[4,6,8],[5,7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,4,8],[6,7]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5],[3,4,8],[6,7]] => 0100100 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,4],[2,5,8],[6,7]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4],[3,5,8],[6,7]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3],[4,5,8],[6,7]] => 0010100 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,4,6],[2,5,7],[3,8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,5,7],[4,8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,6],[3,5,7],[4,8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,6],[2,4,7],[5,8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,4,7],[5,8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5],[2,6,7],[3,8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,6,7],[4,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,6,7],[4,8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4],[2,6,7],[5,8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4],[3,6,7],[5,8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3],[4,6,7],[5,8]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,4,7],[6,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,4,7],[6,8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4],[2,5,7],[6,8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4],[3,5,7],[6,8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3],[4,5,7],[6,8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,5],[2,4,6],[7,8]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,4,6],[7,8]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4],[2,5,6],[7,8]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4],[3,5,6],[7,8]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3],[4,5,6],[7,8]] => 0010010 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,5,7],[2,6,8],[3],[4]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,7],[2,6,8],[3],[5]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,7],[2,6,8],[4],[5]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,7],[3,6,8],[4],[5]] => 0111001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,4,7],[2,5,8],[3],[6]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,5,8],[4],[6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,7],[3,5,8],[4],[6]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,7],[2,4,8],[5],[6]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,7],[3,4,8],[5],[6]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,5,6],[2,7,8],[3],[4]] => 1110010 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,4,6],[2,7,8],[3],[5]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6],[2,7,8],[4],[5]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,7,8],[4],[5]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,5],[2,7,8],[3],[6]] => 1100100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5],[2,7,8],[4],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,5],[3,7,8],[4],[6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,4],[2,7,8],[5],[6]] => 1001100 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,2,4],[3,7,8],[5],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,3],[4,7,8],[5],[6]] => 0011100 => ([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22)

[[1,4,6],[2,5,8],[3],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6],[2,5,8],[4],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,5,8],[4],[7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6],[2,4,8],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,4,8],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5],[2,6,8],[3],[7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,6,8],[4],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,6,8],[4],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4],[2,6,8],[5],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4],[3,6,8],[5],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3],[4,6,8],[5],[7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,4,8],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,4,8],[6],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4],[2,5,8],[6],[7]] => 1001110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4],[3,5,8],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,3],[4,5,8],[6],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,4,6],[2,5,7],[3],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,5,7],[4],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,6],[3,5,7],[4],[8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,6],[2,4,7],[5],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,4,7],[5],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5],[2,6,7],[3],[8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,6,7],[4],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,6,7],[4],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4],[2,6,7],[5],[8]] => 1001001 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,2,4],[3,6,7],[5],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,3],[4,6,7],[5],[8]] => 0011001 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,4,7],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,4,7],[6],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4],[2,5,7],[6],[8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4],[3,5,7],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3],[4,5,7],[6],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,5],[2,4,6],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,5],[3,4,6],[7],[8]] => 0100111 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,4],[2,5,6],[7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4],[3,5,6],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3],[4,5,6],[7],[8]] => 0010011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,5,8],[2,6],[3,7],[4]] => 1110110 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4,8],[2,6],[3,7],[5]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,8],[2,6],[4,7],[5]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,8],[3,6],[4,7],[5]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,8],[2,5],[3,7],[6]] => 1101100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,8],[2,5],[4,7],[6]] => 1010100 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,8],[3,5],[4,7],[6]] => 0110100 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,8],[2,4],[5,7],[6]] => 1011100 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,8],[3,4],[5,7],[6]] => 0101100 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,4,8],[2,5],[3,6],[7]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,8],[2,5],[4,6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,8],[3,5],[4,6],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,8],[2,4],[5,6],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,8],[3,4],[5,6],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,5,7],[2,6],[3,8],[4]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,7],[2,6],[3,8],[5]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,7],[2,6],[4,8],[5]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,7],[3,6],[4,8],[5]] => 0111001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,4,7],[2,5],[3,8],[6]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,5],[4,8],[6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,7],[3,5],[4,8],[6]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,7],[2,4],[5,8],[6]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,7],[3,4],[5,8],[6]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,5,6],[2,7],[3,8],[4]] => 1110011 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,4,6],[2,7],[3,8],[5]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,7],[4,8],[5]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,7],[4,8],[5]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4,5],[2,7],[3,8],[6]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,7],[4,8],[6]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,7],[4,8],[6]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4],[2,7],[5,8],[6]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4],[3,7],[5,8],[6]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3],[4,7],[5,8],[6]] => 0011101 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,4,6],[2,5],[3,8],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6],[2,5],[4,8],[7]] => 1010010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,5],[4,8],[7]] => 0110010 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,6],[2,4],[5,8],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,4],[5,8],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,4,5],[2,6],[3,8],[7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,6],[4,8],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,6],[4,8],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4],[2,6],[5,8],[7]] => 1001010 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,4],[3,6],[5,8],[7]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,3],[4,6],[5,8],[7]] => 0011010 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,4],[6,8],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,4],[6,8],[7]] => 0100110 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,3,4],[2,5],[6,8],[7]] => 1001110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4],[3,5],[6,8],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,3],[4,5],[6,8],[7]] => 0010110 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,4,7],[2,5],[3,6],[8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,5],[4,6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,7],[3,5],[4,6],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,7],[2,4],[5,6],[8]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,7],[3,4],[5,6],[8]] => 0101001 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,4,6],[2,5],[3,7],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,5],[4,7],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,6],[3,5],[4,7],[8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,6],[2,4],[5,7],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,4],[5,7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5],[2,6],[3,7],[8]] => 1100111 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5],[2,6],[4,7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,5],[3,6],[4,7],[8]] => 0110111 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3,4],[2,6],[5,7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4],[3,6],[5,7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3],[4,6],[5,7],[8]] => 0011011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5],[2,4],[6,7],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,4],[6,7],[8]] => 0100101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,3,4],[2,5],[6,7],[8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4],[3,5],[6,7],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3],[4,5],[6,7],[8]] => 0010101 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,6,8],[2,7],[3],[4],[5]] => 1111010 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,5,8],[2,7],[3],[4],[6]] => 1110100 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,4,8],[2,7],[3],[5],[6]] => 1101100 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,8],[2,7],[4],[5],[6]] => 1011100 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,2,8],[3,7],[4],[5],[6]] => 0111100 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,5,8],[2,6],[3],[4],[7]] => 1110110 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4,8],[2,6],[3],[5],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,8],[2,6],[4],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,8],[3,6],[4],[5],[7]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,8],[2,5],[3],[6],[7]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,8],[2,5],[4],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,8],[3,5],[4],[6],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,8],[2,4],[5],[6],[7]] => 1011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,8],[3,4],[5],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,6,7],[2,8],[3],[4],[5]] => 1111001 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,5,7],[2,8],[3],[4],[6]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,7],[2,8],[3],[5],[6]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,8],[4],[5],[6]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,7],[3,8],[4],[5],[6]] => 0111101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,5,6],[2,8],[3],[4],[7]] => 1110010 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,4,6],[2,8],[3],[5],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3,6],[2,8],[4],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,6],[3,8],[4],[5],[7]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4,5],[2,8],[3],[6],[7]] => 1100110 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,5],[2,8],[4],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2,5],[3,8],[4],[6],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3,4],[2,8],[5],[6],[7]] => 1001110 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,2,4],[3,8],[5],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,2,3],[4,8],[5],[6],[7]] => 0011110 => ([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21)

[[1,5,7],[2,6],[3],[4],[8]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,7],[2,6],[3],[5],[8]] => 1101001 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,3,7],[2,6],[4],[5],[8]] => 1011001 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,7],[3,6],[4],[5],[8]] => 0111001 => ([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22)

[[1,4,7],[2,5],[3],[6],[8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2,5],[4],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,7],[3,5],[4],[6],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,7],[2,4],[5],[6],[8]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,7],[3,4],[5],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,5,6],[2,7],[3],[4],[8]] => 1110011 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,4,6],[2,7],[3],[5],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,7],[4],[5],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,7],[4],[5],[8]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4,5],[2,7],[3],[6],[8]] => 1100101 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,3,5],[2,7],[4],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2,5],[3,7],[4],[6],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3,4],[2,7],[5],[6],[8]] => 1001101 => ([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22)

[[1,2,4],[3,7],[5],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2,3],[4,7],[5],[6],[8]] => 0011101 => ([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22)

[[1,4,6],[2,5],[3],[7],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2,5],[4],[7],[8]] => 1010011 => ([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22)

[[1,2,6],[3,5],[4],[7],[8]] => 0110011 => ([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21)

[[1,3,6],[2,4],[5],[7],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3,4],[5],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,4,5],[2,6],[3],[7],[8]] => 1100111 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5],[2,6],[4],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,5],[3,6],[4],[7],[8]] => 0110111 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3,4],[2,6],[5],[7],[8]] => 1001011 => ([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22)

[[1,2,4],[3,6],[5],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,2,3],[4,6],[5],[7],[8]] => 0011011 => ([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21)

[[1,3,5],[2,4],[6],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,5],[3,4],[6],[7],[8]] => 0100111 => ([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22)

[[1,3,4],[2,5],[6],[7],[8]] => 1001111 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,2,4],[3,5],[6],[7],[8]] => 0101111 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,3],[4,5],[6],[7],[8]] => 0010111 => ([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22)

[[1,7,8],[2],[3],[4],[5],[6]] => 1111100 => ([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)

[[1,6,8],[2],[3],[4],[5],[7]] => 1111010 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,5,8],[2],[3],[4],[6],[7]] => 1110110 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4,8],[2],[3],[5],[6],[7]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3,8],[2],[4],[5],[6],[7]] => 1011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2,8],[3],[4],[5],[6],[7]] => 0111110 => ([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)

[[1,6,7],[2],[3],[4],[5],[8]] => 1111001 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,5,7],[2],[3],[4],[6],[8]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4,7],[2],[3],[5],[6],[8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3,7],[2],[4],[5],[6],[8]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2,7],[3],[4],[5],[6],[8]] => 0111101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,5,6],[2],[3],[4],[7],[8]] => 1110011 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,4,6],[2],[3],[5],[7],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3,6],[2],[4],[5],[7],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2,6],[3],[4],[5],[7],[8]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4,5],[2],[3],[6],[7],[8]] => 1100111 => ([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22)

[[1,3,5],[2],[4],[6],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2,5],[3],[4],[6],[7],[8]] => 0110111 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3,4],[2],[5],[6],[7],[8]] => 1001111 => ([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21)

[[1,2,4],[3],[5],[6],[7],[8]] => 0101111 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,2,3],[4],[5],[6],[7],[8]] => 0011111 => ([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18)

[[1,5],[2,6],[3,7],[4,8]] => 1110111 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,4],[2,6],[3,7],[5,8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3],[2,6],[4,7],[5,8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2],[3,6],[4,7],[5,8]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4],[2,5],[3,7],[6,8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3],[2,5],[4,7],[6,8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2],[3,5],[4,7],[6,8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3],[2,4],[5,7],[6,8]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2],[3,4],[5,7],[6,8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,4],[2,5],[3,6],[7,8]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3],[2,5],[4,6],[7,8]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2],[3,5],[4,6],[7,8]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3],[2,4],[5,6],[7,8]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2],[3,4],[5,6],[7,8]] => 0101010 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,6],[2,7],[3,8],[4],[5]] => 1111011 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,5],[2,7],[3,8],[4],[6]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4],[2,7],[3,8],[5],[6]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3],[2,7],[4,8],[5],[6]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2],[3,7],[4,8],[5],[6]] => 0111101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,5],[2,6],[3,8],[4],[7]] => 1110110 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4],[2,6],[3,8],[5],[7]] => 1101010 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,3],[2,6],[4,8],[5],[7]] => 1011010 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,2],[3,6],[4,8],[5],[7]] => 0111010 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,4],[2,5],[3,8],[6],[7]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3],[2,5],[4,8],[6],[7]] => 1010110 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,2],[3,5],[4,8],[6],[7]] => 0110110 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18)

[[1,3],[2,4],[5,8],[6],[7]] => 1011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2],[3,4],[5,8],[6],[7]] => 0101110 => ([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21)

[[1,5],[2,6],[3,7],[4],[8]] => 1110111 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,4],[2,6],[3,7],[5],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3],[2,6],[4,7],[5],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2],[3,6],[4,7],[5],[8]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4],[2,5],[3,7],[6],[8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3],[2,5],[4,7],[6],[8]] => 1010101 => ([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14)

[[1,2],[3,5],[4,7],[6],[8]] => 0110101 => ([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20)

[[1,3],[2,4],[5,7],[6],[8]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2],[3,4],[5,7],[6],[8]] => 0101101 => ([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20)

[[1,4],[2,5],[3,6],[7],[8]] => 1101111 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3],[2,5],[4,6],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2],[3,5],[4,6],[7],[8]] => 0110111 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3],[2,4],[5,6],[7],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2],[3,4],[5,6],[7],[8]] => 0101011 => ([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18)

[[1,7],[2,8],[3],[4],[5],[6]] => 1111101 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,6],[2,8],[3],[4],[5],[7]] => 1111010 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,5],[2,8],[3],[4],[6],[7]] => 1110110 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,4],[2,8],[3],[5],[6],[7]] => 1101110 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,3],[2,8],[4],[5],[6],[7]] => 1011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,2],[3,8],[4],[5],[6],[7]] => 0111110 => ([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18)

[[1,6],[2,7],[3],[4],[5],[8]] => 1111011 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,5],[2,7],[3],[4],[6],[8]] => 1110101 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,4],[2,7],[3],[5],[6],[8]] => 1101101 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,3],[2,7],[4],[5],[6],[8]] => 1011101 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20)

[[1,2],[3,7],[4],[5],[6],[8]] => 0111101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20)

[[1,5],[2,6],[3],[4],[7],[8]] => 1110111 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,4],[2,6],[3],[5],[7],[8]] => 1101011 => ([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20)

[[1,3],[2,6],[4],[5],[7],[8]] => 1011011 => ([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18)

[[1,2],[3,6],[4],[5],[7],[8]] => 0111011 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20)

[[1,4],[2,5],[3],[6],[7],[8]] => 1101111 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3],[2,5],[4],[6],[7],[8]] => 1010111 => ([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20)

[[1,2],[3,5],[4],[6],[7],[8]] => 0110111 => ([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20)

[[1,3],[2,4],[5],[6],[7],[8]] => 1011111 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,2],[3,4],[5],[6],[7],[8]] => 0101111 => ([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20)

[[1,8],[2],[3],[4],[5],[6],[7]] => 1111110 => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[1,7],[2],[3],[4],[5],[6],[8]] => 1111101 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,6],[2],[3],[4],[5],[7],[8]] => 1111011 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,5],[2],[3],[4],[6],[7],[8]] => 1110111 => ([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20)

[[1,4],[2],[3],[5],[6],[7],[8]] => 1101111 => ([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20)

[[1,3],[2],[4],[5],[6],[7],[8]] => 1011111 => ([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18)

[[1,2],[3],[4],[5],[6],[7],[8]] => 0111111 => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[1],[2],[3],[4],[5],[6],[7],[8]] => 1111111 => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)

[[1,3,5,7,9],[2,4,6,8,10]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,3,5,7,8],[2,4,6,9,10]] => 101010010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,3,5,6,9],[2,4,7,8,10]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,5,6,8],[2,4,7,9,10]] => 101001010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,5,6,7],[2,4,8,9,10]] => 101000100 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,3,4,7,9],[2,5,6,8,10]] => 100100101 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,4,7,8],[2,5,6,9,10]] => 100100010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,3,4,6,9],[2,5,7,8,10]] => 100101001 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,4,6,8],[2,5,7,9,10]] => 100101010 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3,4,6,7],[2,5,8,9,10]] => 100100100 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3,4,5,9],[2,6,7,8,10]] => 100010001 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,3,4,5,8],[2,6,7,9,10]] => 100010010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,4,5,7],[2,6,8,9,10]] => 100010100 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,3,4,5,6],[2,7,8,9,10]] => 100001000 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,2,5,7,9],[3,4,6,8,10]] => 010010101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,5,7,8],[3,4,6,9,10]] => 010010010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,5,6,9],[3,4,7,8,10]] => 010001001 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,2,5,6,8],[3,4,7,9,10]] => 010001010 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,2,5,6,7],[3,4,8,9,10]] => 010000100 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,2,4,7,9],[3,5,6,8,10]] => 010100101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4,7,8],[3,5,6,9,10]] => 010100010 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,2,4,6,9],[3,5,7,8,10]] => 010101001 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,4,6,8],[3,5,7,9,10]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2,4,6,7],[3,5,8,9,10]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,4,5,9],[3,6,7,8,10]] => 010010001 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,4,5,8],[3,6,7,9,10]] => 010010010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,4,5,7],[3,6,8,9,10]] => 010010100 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4,5,6],[3,7,8,9,10]] => 010001000 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,7,9],[4,5,6,8,10]] => 001000101 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,2,3,7,8],[4,5,6,9,10]] => 001000010 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,2,3,6,9],[4,5,7,8,10]] => 001001001 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,3,6,8],[4,5,7,9,10]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,6,7],[4,5,8,9,10]] => 001000100 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,3,5,9],[4,6,7,8,10]] => 001010001 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,2,3,5,8],[4,6,7,9,10]] => 001010010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,3,5,7],[4,6,8,9,10]] => 001010100 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,2,3,5,6],[4,7,8,9,10]] => 001001000 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4,9],[5,6,7,8,10]] => 000100001 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,2,3,4,8],[5,6,7,9,10]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4,7],[5,6,8,9,10]] => 000100100 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4,6],[5,7,8,9,10]] => 000101000 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,2,3,4,5],[6,7,8,9,10]] => 000010000 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,2,3,4,5,6,7,8,9]] => 00000000 => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)

[[1,2,3,4,5,6,7,8],[9]] => 00000001 => ([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[[1,2,3,4,5,6,7],[8,9]] => 00000010 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,2,3,4,5,6,7],[8],[9]] => 00000011 => ([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)

[[1,2,3,4,5,6],[7,8,9]] => 00000100 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,2,3,4,5,6],[7,8],[9]] => 00000101 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,2,3,4,5,6],[7],[8],[9]] => 00000111 => ([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)

[[1,2,3,4,5],[6,7,8,9]] => 00001000 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,2,3,4,5],[6,7,8],[9]] => 00001001 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,2,3,4,5],[6,7],[8,9]] => 00001010 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,3,4,5],[6,7],[8],[9]] => 00001011 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2,3,4,5],[6],[7],[8],[9]] => 00001111 => ([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25)

[[1,2,3,4],[5,6,7,8],[9]] => 00010001 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,2,3,4],[5,6,7],[8,9]] => 00010010 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,3,4],[5,6,7],[8],[9]] => 00010011 => ([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)

[[1,2,3,4],[5,6],[7,8],[9]] => 00010101 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,4],[5,6],[7],[8],[9]] => 00010111 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,2,3,4],[5],[6],[7],[8],[9]] => 00011111 => ([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)

[[1,2,3],[4,5,6],[7,8,9]] => 00100100 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,3],[4,5,6],[7,8],[9]] => 00100101 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,3],[4,5,6],[7],[8],[9]] => 00100111 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)

[[1,2,3],[4,5],[6,7],[8,9]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3],[4,5],[6,7],[8],[9]] => 00101011 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,2,3],[4,5],[6],[7],[8],[9]] => 00101111 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2,3],[4],[5],[6],[7],[8],[9]] => 00111111 => ([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)

[[1,2],[3,4],[5,6],[7,8],[9]] => 01010101 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,2],[3,4],[5,6],[7],[8],[9]] => 01010111 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2],[3,4],[5],[6],[7],[8],[9]] => 01011111 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,2],[3],[4],[5],[6],[7],[8],[9]] => 01111111 => ([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 11111111 => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)

[[1,2,3,4,5,6,7,8,9,10]] => 000000000 => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[1,2,3,4,5,6,7,8,9],[10]] => 000000001 => ([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)

[[1,2,3,4,5,6,7,8],[9,10]] => 000000010 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,2,3,4,5,6,7,8],[9],[10]] => 000000011 => ([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)

[[1,2,3,4,5,6,7],[8,9,10]] => 000000100 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,3,4,5,6,7],[8,9],[10]] => 000000101 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,2,3,4,5,6,7],[8],[9],[10]] => 000000111 => ([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)

[[1,2,3,4,5,6],[7,8,9,10]] => 000001000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,4,5,6],[7,8,9],[10]] => 000001001 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,2,3,4,5,6],[7,8],[9,10]] => 000001010 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,3,4,5,6],[7,8],[9],[10]] => 000001011 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2,3,4,5,6],[7],[8],[9],[10]] => 000001111 => ([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)

[[1,2,3,4,5],[6,7,8,9],[10]] => 000010001 => ([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)

[[1,2,3,4,5],[6,7,8],[9,10]] => 000010010 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,3,4,5],[6,7,8],[9],[10]] => 000010011 => ([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)

[[1,2,3,4,5],[6,7],[8,9],[10]] => 000010101 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2,3,4,5],[6,7],[8],[9],[10]] => 000010111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,2,3,4,5],[6],[7],[8],[9],[10]] => 000011111 => ([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)

[[1,2,3,4],[5,6,7,8],[9,10]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4],[5,6,7,8],[9],[10]] => 000100011 => ([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)

[[1,2,3,4],[5,6,7],[8,9,10]] => 000100100 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4],[5,6,7],[8,9],[10]] => 000100101 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,3,4],[5,6,7],[8],[9],[10]] => 000100111 => ([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)

[[1,2,3,4],[5,6],[7,8],[9,10]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4],[5,6],[7,8],[9],[10]] => 000101011 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,3,4],[5,6],[7],[8],[9],[10]] => 000101111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => 000111111 => ([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)

[[1,2,3],[4,5,6],[7,8,9],[10]] => 001001001 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,3],[4,5,6],[7,8],[9,10]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3],[4,5,6],[7,8],[9],[10]] => 001001011 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,2,3],[4,5,6],[7],[8],[9],[10]] => 001001111 => ([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)

[[1,2,3],[4,5],[6,7],[8,9],[10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3],[4,5],[6,7],[8],[9],[10]] => 001010111 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => 001011111 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => 001111111 => ([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)

[[1,2],[3,4],[5,6],[7,8],[9,10]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2],[3,4],[5,6],[7,8],[9],[10]] => 010101011 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => 010101111 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 010111111 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 011111111 => ([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)

[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 111111111 => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[1,3,4,5,6,7,8,9],[2]] => 10000000 => ([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[[1,2,5,6,7,8,9],[3,4]] => 01000000 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,4,5,6,7,8,9],[2],[3]] => 11000000 => ([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)

[[1,2,3,7,8,9],[4,5,6]] => 00100000 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,3,6,7,8,9],[2,5],[4]] => 10100000 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,5,6,7,8,9],[2],[3],[4]] => 11100000 => ([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)

[[1,2,3,4,9],[5,6,7,8]] => 00010000 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,3,4,8,9],[2,6,7],[5]] => 10010000 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,2,7,8,9],[3,4],[5,6]] => 01010000 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,4,7,8,9],[2,6],[3],[5]] => 11010000 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,6,7,8,9],[2],[3],[4],[5]] => 11110000 => ([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25)

[[1,3,4,5],[2,7,8,9],[6]] => 10001000 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,2,5,9],[3,4,8],[6,7]] => 01001000 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,4,5,9],[2,7,8],[3],[6]] => 11001000 => ([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)

[[1,3,8,9],[2,5],[4,7],[6]] => 10101000 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,5,8,9],[2,7],[3],[4],[6]] => 11101000 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,7,8,9],[2],[3],[4],[5],[6]] => 11111000 => ([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24)

[[1,3,6],[2,5,9],[4,8],[7]] => 10100100 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,5,6],[2,8,9],[3],[4],[7]] => 11100100 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)

[[1,2,9],[3,4],[5,6],[7,8]] => 01010100 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,9],[2,6],[3,8],[5],[7]] => 11010100 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,6,9],[2,8],[3],[4],[5],[7]] => 11110100 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,8,9],[2],[3],[4],[5],[6],[7]] => 11111100 => ([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21)

[[1,3],[2,5],[4,7],[6,9],[8]] => 10101010 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,5],[2,7],[3,9],[4],[6],[8]] => 11101010 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,7],[2,9],[3],[4],[5],[6],[8]] => 11111010 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,9],[2],[3],[4],[5],[6],[7],[8]] => 11111110 => ([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[[1,3,4,5,6,7,8,9,10],[2]] => 100000000 => ([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)

[[1,2,5,6,7,8,9,10],[3,4]] => 010000000 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,4,5,6,7,8,9,10],[2],[3]] => 110000000 => ([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)

[[1,2,3,7,8,9,10],[4,5,6]] => 001000000 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,3,6,7,8,9,10],[2,5],[4]] => 101000000 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,5,6,7,8,9,10],[2],[3],[4]] => 111000000 => ([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)

[[1,2,3,4,9,10],[5,6,7,8]] => 000100000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,3,4,8,9,10],[2,6,7],[5]] => 100100000 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,2,7,8,9,10],[3,4],[5,6]] => 010100000 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,4,7,8,9,10],[2,6],[3],[5]] => 110100000 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,6,7,8,9,10],[2],[3],[4],[5]] => 111100000 => ([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)

[[1,3,4,5,10],[2,7,8,9],[6]] => 100010000 => ([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)

[[1,2,5,9,10],[3,4,8],[6,7]] => 010010000 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,4,5,9,10],[2,7,8],[3],[6]] => 110010000 => ([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)

[[1,3,8,9,10],[2,5],[4,7],[6]] => 101010000 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,5,8,9,10],[2,7],[3],[4],[6]] => 111010000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,7,8,9,10],[2],[3],[4],[5],[6]] => 111110000 => ([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30)

[[1,2,5,6],[3,4,9,10],[7,8]] => 010001000 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,4,5,6],[2,8,9,10],[3],[7]] => 110001000 => ([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)

[[1,2,3,10],[4,5,6],[7,8,9]] => 001001000 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,3,6,10],[2,5,9],[4,8],[7]] => 101001000 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,5,6,10],[2,8,9],[3],[4],[7]] => 111001000 => ([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)

[[1,2,9,10],[3,4],[5,6],[7,8]] => 010101000 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,4,9,10],[2,6],[3,8],[5],[7]] => 110101000 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,6,9,10],[2,8],[3],[4],[5],[7]] => 111101000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 111111000 => ([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28)

[[1,3,4],[2,6,7],[5,9,10],[8]] => 100100100 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,7],[3,4,10],[5,6],[8,9]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,7],[2,6,10],[3,9],[5],[8]] => 110100100 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,6,7],[2,9,10],[3],[4],[5],[8]] => 111100100 => ([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)

[[1,3,10],[2,5],[4,7],[6,9],[8]] => 101010100 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,5,10],[2,7],[3,9],[4],[6],[8]] => 111010100 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 111110100 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 111111100 => ([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24)

[[1,4],[2,6],[3,8],[5,10],[7],[9]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 111101010 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 111111010 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 111111110 => ([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18)

[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => 11010100100 => ([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46)

[[1,8],[2,9],[3],[4],[5],[6],[7]] => 11111101 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,7],[2,8],[3,9],[4],[5],[6]] => 11111011 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,7,9],[2,8],[3],[4],[5],[6]] => 11111010 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,6],[2,7],[3,8],[4,9],[5]] => 11110111 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,6,9],[2,7],[3,8],[4],[5]] => 11110110 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,6,8],[2,7,9],[3],[4],[5]] => 11110101 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,6,8,9],[2,7],[3],[4],[5]] => 11110100 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,5,9],[2,6],[3,7],[4,8]] => 11101110 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,5,8],[2,6,9],[3,7],[4]] => 11101101 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,5,8,9],[2,6],[3,7],[4]] => 11101100 => ([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)

[[1,5,7,9],[2,6,8],[3],[4]] => 11101010 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,5,7,8,9],[2,6],[3],[4]] => 11101000 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,4,7],[2,5,8],[3,6,9]] => 11011011 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,4,7,9],[2,5,8],[3,6]] => 11011010 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,4,7,8,9],[2,5],[3,6]] => 11011000 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)

[[1,4,6,8],[2,5,7,9],[3]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,6,8,9],[2,5,7],[3]] => 11010100 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,4,6,7,8,9],[2,5],[3]] => 11010000 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,3,5,7,9],[2,4,6,8]] => 10101010 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,3,5,7,8,9],[2,4,6]] => 10101000 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,3,5,6,7,8,9],[2,4]] => 10100000 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 111111101 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 111111011 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 111111010 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,7],[2,8],[3,9],[4,10],[5],[6]] => 111110111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,7,10],[2,8],[3,9],[4],[5],[6]] => 111110110 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,7,9],[2,8,10],[3],[4],[5],[6]] => 111110101 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,7,9,10],[2,8],[3],[4],[5],[6]] => 111110100 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,6],[2,7],[3,8],[4,9],[5,10]] => 111101111 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,6,10],[2,7],[3,8],[4,9],[5]] => 111101110 => ([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)

[[1,6,9],[2,7,10],[3,8],[4],[5]] => 111101101 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,6,9,10],[2,7],[3,8],[4],[5]] => 111101100 => ([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)

[[1,6,8,10],[2,7,9],[3],[4],[5]] => 111101010 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,6,8,9,10],[2,7],[3],[4],[5]] => 111101000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,5,9],[2,6,10],[3,7],[4,8]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5,9,10],[2,6],[3,7],[4,8]] => 111011100 => ([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)

[[1,5,8],[2,6,9],[3,7,10],[4]] => 111011011 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5,8,10],[2,6,9],[3,7],[4]] => 111011010 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,5,8,9,10],[2,6],[3,7],[4]] => 111011000 => ([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)

[[1,5,7,9],[2,6,8,10],[3],[4]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,5,7,9,10],[2,6,8],[3],[4]] => 111010100 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,5,7,8,9,10],[2,6],[3],[4]] => 111010000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,4,7,10],[2,5,8],[3,6,9]] => 110110110 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,4,7,9],[2,5,8,10],[3,6]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,7,9,10],[2,5,8],[3,6]] => 110110100 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,4,7,8,9,10],[2,5],[3,6]] => 110110000 => ([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)

[[1,4,6,8,10],[2,5,7,9],[3]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,6,8,9,10],[2,5,7],[3]] => 110101000 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,4,6,7,8,9,10],[2,5],[3]] => 110100000 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,3,5,7,9,10],[2,4,6,8]] => 101010100 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,3,5,7,8,9,10],[2,4,6]] => 101010000 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,3,5,6,7,8,9,10],[2,4]] => 101000000 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,3],[2,4],[5],[6],[7],[8],[9]] => 10111111 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,4],[2,5],[3,6],[7],[8],[9]] => 11011111 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,2,4],[3,5],[6],[7],[8],[9]] => 01011111 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,5],[2,6],[3,7],[4,8],[9]] => 11101111 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,2,5],[3,6],[4,7],[8],[9]] => 01101111 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,3,5],[2,4,6],[7],[8],[9]] => 10101111 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,3,5],[4,6],[7],[8],[9]] => 00101111 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2,6],[3,7],[4,8],[5,9]] => 01110111 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,3,6],[2,4,7],[5,8],[9]] => 10110111 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,3,6],[4,7],[5,8],[9]] => 00110111 => ([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27)

[[1,2,4,6],[3,5,7],[8],[9]] => 01010111 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,4,6],[5,7],[8],[9]] => 00010111 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,2,4,7],[3,5,8],[6,9]] => 01011011 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,3,4,7],[5,8],[6,9]] => 00011011 => ([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27)

[[1,3,5,7],[2,4,6,8],[9]] => 10101011 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,5,7],[4,6,8],[9]] => 00101011 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,2,3,4,5,7],[6,8],[9]] => 00001011 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2,4,6,8],[3,5,7,9]] => 01010101 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,2,3,4,6,8],[5,7,9]] => 00010101 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,4,5,6,8],[7,9]] => 00000101 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 101111111 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => 110111111 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => 010111111 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,5],[2,6],[3,7],[4,8],[9],[10]] => 111011111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,5],[3,6],[4,7],[8],[9],[10]] => 011011111 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,3,5],[2,4,6],[7],[8],[9],[10]] => 101011111 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,3,5],[4,6],[7],[8],[9],[10]] => 001011111 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2,6],[3,7],[4,8],[5,9],[10]] => 011101111 => ([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30)

[[1,3,6],[2,4,7],[5,8],[9],[10]] => 101101111 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,3,6],[4,7],[5,8],[9],[10]] => 001101111 => ([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33)

[[1,2,4,6],[3,5,7],[8],[9],[10]] => 010101111 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2,3,4,6],[5,7],[8],[9],[10]] => 000101111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,3,7],[2,4,8],[5,9],[6,10]] => 101110111 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,7],[4,8],[5,9],[6,10]] => 001110111 => ([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32)

[[1,4,7],[2,5,8],[3,6,9],[10]] => 110110111 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,4,7],[3,5,8],[6,9],[10]] => 010110111 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,3,4,7],[5,8],[6,9],[10]] => 000110111 => ([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34)

[[1,3,5,7],[2,4,6,8],[9],[10]] => 101010111 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,5,7],[4,6,8],[9],[10]] => 001010111 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,3,4,5,7],[6,8],[9],[10]] => 000010111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,2,5,8],[3,6,9],[4,7,10]] => 011011011 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3,5,8],[2,4,6,9],[7,10]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,5,8],[4,6,9],[7,10]] => 001011011 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,2,3,4,5,8],[6,9],[7,10]] => 000011011 => ([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33)

[[1,2,4,6,8],[3,5,7,9],[10]] => 010101011 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,4,6,8],[5,7,9],[10]] => 000101011 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,3,4,5,6,8],[7,9],[10]] => 000001011 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2,3,5,7,9],[4,6,8,10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,4,5,7,9],[6,8,10]] => 000010101 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2,3,4,5,6,7,9],[8,10]] => 000000101 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,2],[3,4],[5,6],[7,9],[8,10]] => 010101101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2],[3,4],[5,7],[6,8],[9,10]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2],[3,4],[5,7],[6,9],[8,10]] => 010110101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2],[3,4],[5,8],[6,9],[7,10]] => 010111011 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,2],[3,5],[4,6],[7,8],[9,10]] => 011011010 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2],[3,5],[4,6],[7,9],[8,10]] => 011011101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,2],[3,5],[4,7],[6,8],[9,10]] => 011010110 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2],[3,5],[4,7],[6,9],[8,10]] => 011010101 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2],[3,5],[4,8],[6,9],[7,10]] => 011011011 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2],[3,6],[4,7],[5,8],[9,10]] => 011101110 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2],[3,6],[4,7],[5,9],[8,10]] => 011101101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2],[3,6],[4,8],[5,9],[7,10]] => 011101011 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,2],[3,7],[4,8],[5,9],[6,10]] => 011110111 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,3],[2,4],[5,6],[7,8],[9,10]] => 101101010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,3],[2,4],[5,6],[7,9],[8,10]] => 101101101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3],[2,4],[5,7],[6,8],[9,10]] => 101110110 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,3],[2,4],[5,7],[6,9],[8,10]] => 101110101 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,3],[2,4],[5,8],[6,9],[7,10]] => 101111011 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,3],[2,5],[4,6],[7,8],[9,10]] => 101011010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3],[2,5],[4,6],[7,9],[8,10]] => 101011101 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,3],[2,5],[4,7],[6,8],[9,10]] => 101010110 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3],[2,5],[4,7],[6,9],[8,10]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,3],[2,5],[4,8],[6,9],[7,10]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,3],[2,6],[4,7],[5,8],[9,10]] => 101101110 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3],[2,6],[4,7],[5,9],[8,10]] => 101101101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3],[2,6],[4,8],[5,9],[7,10]] => 101101011 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3],[2,7],[4,8],[5,9],[6,10]] => 101110111 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,4],[2,5],[3,6],[7,8],[9,10]] => 110111010 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,4],[2,5],[3,6],[7,9],[8,10]] => 110111101 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,4],[2,5],[3,7],[6,8],[9,10]] => 110110110 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,4],[2,5],[3,7],[6,9],[8,10]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4],[2,5],[3,8],[6,9],[7,10]] => 110111011 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,4],[2,6],[3,7],[5,8],[9,10]] => 110101110 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,4],[2,6],[3,7],[5,9],[8,10]] => 110101101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,4],[2,6],[3,8],[5,9],[7,10]] => 110101011 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,4],[2,7],[3,8],[5,9],[6,10]] => 110110111 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5],[2,6],[3,7],[4,8],[9,10]] => 111011110 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,5],[2,6],[3,7],[4,9],[8,10]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5],[2,6],[3,8],[4,9],[7,10]] => 111011011 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5],[2,7],[3,8],[4,9],[6,10]] => 111010111 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,2,3,4,5,6,7,9],[8]] => 00000010 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,2,3,4,5,6,9],[7,8]] => 00000100 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,2,3,4,5,6,9],[7],[8]] => 00000110 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,2,3,4,5,9],[6,7,8]] => 00001000 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,2,3,4,5,9],[6,7],[8]] => 00001010 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,3,4,5,9],[6],[7],[8]] => 00001110 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,2,3,4,9],[5,6,7],[8]] => 00010010 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,3,4,9],[5,6],[7,8]] => 00010100 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,2,3,4,9],[5,6],[7],[8]] => 00010110 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,2,3,4,9],[5],[6],[7],[8]] => 00011110 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,2,3,7],[4,5,6,9],[8]] => 00100010 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)

[[1,2,3,9],[4,5,6],[7,8]] => 00100100 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,3,9],[4,5,6],[7],[8]] => 00100110 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,2,3,9],[4,5],[6,7],[8]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,9],[4,5],[6],[7],[8]] => 00101110 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,2,3,9],[4],[5],[6],[7],[8]] => 00111110 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,2,5],[3,4,8],[6,7,9]] => 01001001 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,5],[3,4,9],[6,7],[8]] => 01001010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,5],[3,4,9],[6],[7],[8]] => 01001110 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,2,9],[3,4],[5,6],[7],[8]] => 01010110 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,9],[3,4],[5],[6],[7],[8]] => 01011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,9],[3],[4],[5],[6],[7],[8]] => 01111110 => ([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)

[[1,3],[2,5],[4,9],[6],[7],[8]] => 10101110 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,3],[2,9],[4],[5],[6],[7],[8]] => 10111110 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,2,3,4,5,6,7,8,10],[9]] => 000000010 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,2,3,4,5,6,7,10],[8,9]] => 000000100 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,3,4,5,6,7,10],[8],[9]] => 000000110 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,2,3,4,5,6,10],[7,8,9]] => 000001000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,4,5,6,10],[7,8],[9]] => 000001010 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,3,4,5,6,10],[7],[8],[9]] => 000001110 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,2,3,4,5,10],[6,7,8,9]] => 000010000 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,2,3,4,5,10],[6,7,8],[9]] => 000010010 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,3,4,5,10],[6,7],[8,9]] => 000010100 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,10],[6,7],[8],[9]] => 000010110 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,2,3,4,5,10],[6],[7],[8],[9]] => 000011110 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,2,3,4,10],[5,6,7,8],[9]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4,10],[5,6,7],[8,9]] => 000100100 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4,10],[5,6,7],[8],[9]] => 000100110 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,2,3,4,10],[5,6],[7,8],[9]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4,10],[5,6],[7],[8],[9]] => 000101110 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,2,3,4,10],[5],[6],[7],[8],[9]] => 000111110 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,2,3,7],[4,5,6,10],[8,9]] => 001000100 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,3,7],[4,5,6,10],[8],[9]] => 001000110 => ([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)

[[1,2,3,10],[4,5,6],[7,8],[9]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,10],[4,5,6],[7],[8],[9]] => 001001110 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,2,3,10],[4,5],[6,7],[8,9]] => 001010100 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,2,3,10],[4,5],[6,7],[8],[9]] => 001010110 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,2,3,10],[4,5],[6],[7],[8],[9]] => 001011110 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => 001111110 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,2,5],[3,4,8],[6,7,10],[9]] => 010010010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,5],[3,4,10],[6,7],[8,9]] => 010010100 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,5],[3,4,10],[6,7],[8],[9]] => 010010110 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,2,5],[3,4,10],[6],[7],[8],[9]] => 010011110 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,2,10],[3,4],[5,6],[7,8],[9]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2,10],[3,4],[5,6],[7],[8],[9]] => 010101110 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => 010111110 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => 011111110 => ([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)

[[1,3],[2,5],[4,7],[6,10],[8],[9]] => 101010110 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3],[2,5],[4,10],[6],[7],[8],[9]] => 101011110 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => 101111110 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,4,5,6,7,8,9],[3]] => 01000000 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,3,4,6,7,8,9],[2,5]] => 10010000 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,3,5,6,7,8,9],[2],[4]] => 10100000 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,3,5,6,8,9],[2,4,7]] => 10100100 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,4,7,8,9],[3,5],[6]] => 01011000 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)

[[1,4,6,7,8,9],[2],[3],[5]] => 11010000 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,3,5,7,8],[2,4,6,9]] => 10101001 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,5,7,9],[3,6,8],[4]] => 01101010 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,4,6,8,9],[2,5],[3,7]] => 11010100 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,3,5,8,9],[2,6],[4],[7]] => 10101100 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,5,7,8,9],[2],[3],[4],[6]] => 11101000 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,2,5,6],[3,7,8,9],[4]] => 01100100 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,3,4,7],[2,6,8],[5,9]] => 10010011 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,3,6,8],[2,7,9],[4],[5]] => 10110101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,6,9],[3,4],[5,7],[8]] => 01010110 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,4,6,9],[2,7],[3],[5],[8]] => 11010110 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)

[[1,6,8,9],[2],[3],[4],[5],[7]] => 11110100 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2,4],[3,5,7],[6,8],[9]] => 01011011 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,4,7],[2,8,9],[3],[5],[6]] => 11011010 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,5,8],[2,6],[3,7],[4,9]] => 11101101 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,3,7],[2,5],[4,8],[6],[9]] => 10101011 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,5,7],[2,8],[3],[4],[6],[9]] => 11101011 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,7,9],[2],[3],[4],[5],[6],[8]] => 11111010 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,4],[2,6],[3,8],[5],[7],[9]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,6],[2,8],[3],[4],[5],[7],[9]] => 11110101 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,8],[2],[3],[4],[5],[6],[7],[9]] => 11111101 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,2,4,5,6,7,8,9,10],[3]] => 010000000 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,3,4,6,7,8,9,10],[2,5]] => 100100000 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,3,5,6,7,8,9,10],[2],[4]] => 101000000 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,3,5,6,8,9,10],[2,4,7]] => 101001000 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,4,7,8,9,10],[3,5],[6]] => 010110000 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)

[[1,4,6,7,8,9,10],[2],[3],[5]] => 110100000 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,3,5,7,8,10],[2,4,6,9]] => 101010010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,5,7,9,10],[3,6,8],[4]] => 011010100 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,4,6,8,9,10],[2,5],[3,7]] => 110101000 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,3,5,8,9,10],[2,6],[4],[7]] => 101011000 => ([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)

[[1,5,7,8,9,10],[2],[3],[4],[6]] => 111010000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,2,5,6,9],[3,7,8,10],[4]] => 011001001 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,3,4,7,10],[2,6,8],[5,9]] => 100100110 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,3,6,8,10],[2,7,9],[4],[5]] => 101101010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,6,9,10],[3,4],[5,7],[8]] => 010101100 => ([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)

[[1,4,6,9,10],[2,7],[3],[5],[8]] => 110101100 => ([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)

[[1,6,8,9,10],[2],[3],[4],[5],[7]] => 111101000 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,3,4,8],[2,6,9,10],[5,7]] => 100101010 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3,6,7],[2,8,9,10],[4],[5]] => 101100100 => ([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)

[[1,4,7,9],[2,5,8],[3,6,10]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,7,9],[2,8,10],[3],[5],[6]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,5,8,10],[2,6],[3,7],[4,9]] => 111011010 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,3,7,10],[2,5],[4,8],[6],[9]] => 101010110 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,5,7,10],[2,8],[3],[4],[6],[9]] => 111010110 => ([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)

[[1,7,9,10],[2],[3],[4],[5],[6],[8]] => 111110100 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2,5],[3,7,8],[4,9,10],[6]] => 011010010 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,4,6],[2,5,9],[3,8],[7,10]] => 110101001 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,3,5],[2,6,8],[4,9],[7],[10]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,5,8],[2,9,10],[3],[4],[6],[7]] => 111011010 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,8],[3,4],[5,6],[7,9],[10]] => 010101011 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,8],[2,6],[3,9],[5],[7],[10]] => 110101011 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,6,8],[2,9],[3],[4],[5],[7],[10]] => 111101011 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => 111111010 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,3],[2,5],[4,7],[6,9],[8],[10]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,5],[2,7],[3,9],[4],[6],[8],[10]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,7],[2,9],[3],[4],[5],[6],[8],[10]] => 111110101 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => 111111101 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,3,4,5,6,7,8],[2,9]] => 10000001 => ([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)

[[1,3,4,5,6,7,8],[2],[9]] => 10000001 => ([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)

[[1,3,4,5,6,7],[2,8,9]] => 10000010 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,3,4,5,6,7],[2,9],[8]] => 10000010 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,3,4,5,6,7],[2],[8],[9]] => 10000011 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,3,4,5,6],[2,7,8,9]] => 10000100 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,3,4,5,6],[2,8,9],[7]] => 10000100 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,3,4,5,6],[2,8],[7,9]] => 10000101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,3,4,5,6],[2,8],[7],[9]] => 10000101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,3,4,5,6],[2],[7],[8],[9]] => 10000111 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,3,4,5],[2,7,8],[6,9]] => 10001001 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,3,4,5],[2,7,8],[6],[9]] => 10001001 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,3,4,5],[2,7],[6,9],[8]] => 10001010 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,3,4,5],[2,7],[6],[8],[9]] => 10001011 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,3,4,5],[2],[6],[7],[8],[9]] => 10001111 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,3,4],[2,6,7],[5,8,9]] => 10010010 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,3,4],[2,6,7],[5,9],[8]] => 10010010 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,3,4],[2,6,7],[5],[8],[9]] => 10010011 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,3,4],[2,6],[5,8],[7,9]] => 10010101 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,3,4],[2,6],[5,8],[7],[9]] => 10010101 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,3,4],[2,6],[5],[7],[8],[9]] => 10010111 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,3,4],[2],[5],[6],[7],[8],[9]] => 10011111 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,3],[2,5],[4,7],[6],[8],[9]] => 10101011 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,3],[2,5],[4],[6],[7],[8],[9]] => 10101111 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,3],[2],[4],[5],[6],[7],[8],[9]] => 10111111 => ([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21)

[[1,3,4,5,6,7,8,9],[2,10]] => 100000001 => ([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)

[[1,3,4,5,6,7,8,9],[2],[10]] => 100000001 => ([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)

[[1,3,4,5,6,7,8],[2,9,10]] => 100000010 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,3,4,5,6,7,8],[2,10],[9]] => 100000010 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,3,4,5,6,7,8],[2],[9],[10]] => 100000011 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,3,4,5,6,7],[2,8,9,10]] => 100000100 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,3,4,5,6,7],[2,9,10],[8]] => 100000100 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,3,4,5,6,7],[2,9],[8,10]] => 100000101 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,3,4,5,6,7],[2,9],[8],[10]] => 100000101 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,3,4,5,6,7],[2],[8],[9],[10]] => 100000111 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,3,4,5,6],[2,8,9,10],[7]] => 100001000 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,3,4,5,6],[2,8,9],[7,10]] => 100001001 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,3,4,5,6],[2,8,9],[7],[10]] => 100001001 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,3,4,5,6],[2,8],[7,10],[9]] => 100001010 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,3,4,5,6],[2,8],[7],[9],[10]] => 100001011 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,3,4,5,6],[2],[7],[8],[9],[10]] => 100001111 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,3,4,5],[2,7,8,9],[6,10]] => 100010001 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,3,4,5],[2,7,8,9],[6],[10]] => 100010001 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,3,4,5],[2,7,8],[6,9,10]] => 100010010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,4,5],[2,7,8],[6,10],[9]] => 100010010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,4,5],[2,7,8],[6],[9],[10]] => 100010011 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,3,4,5],[2,7],[6,9],[8,10]] => 100010101 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,4,5],[2,7],[6,9],[8],[10]] => 100010101 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,4,5],[2,7],[6],[8],[9],[10]] => 100010111 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,3,4,5],[2],[6],[7],[8],[9],[10]] => 100011111 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,3,4],[2,6,7],[5,9],[8,10]] => 100100101 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,4],[2,6,7],[5,9],[8],[10]] => 100100101 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,4],[2,6,7],[5],[8],[9],[10]] => 100100111 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,3,4],[2,6],[5,8],[7,10],[9]] => 100101010 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3,4],[2,6],[5,8],[7],[9],[10]] => 100101011 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,3,4],[2,6],[5],[7],[8],[9],[10]] => 100101111 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => 100111111 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,3],[2,5],[4,7],[6],[8],[9],[10]] => 101010111 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,3],[2,5],[4],[6],[7],[8],[9],[10]] => 101011111 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => 101111111 => ([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24)

[[1,2,4,6,8,10],[3,5,7,9]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2,4,6,8,9,10],[3,5,7]] => 010101000 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,4,6,7,8,10],[3,5,9]] => 010100010 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,2,4,6,7,9,10],[3,5,8]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,4,6,7,8,9,10],[3,5]] => 010100000 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,4,5,6,8,10],[3,7,9]] => 010001010 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,2,4,5,6,9,10],[3,7,8]] => 010001000 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,4,5,7,8,10],[3,6,9]] => 010010010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,4,5,7,9,10],[3,6,8]] => 010010100 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4,5,7,8,9,10],[3,6]] => 010010000 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,4,5,6,7,8,10],[3,9]] => 010000010 => ([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)

[[1,2,4,5,6,7,9,10],[3,8]] => 010000100 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,2,4,5,6,8,9,10],[3,7]] => 010001000 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4,6,8,10],[5,7,9]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4,6,9,10],[5,7,8]] => 000101000 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,2,3,4,7,8,10],[5,6,9]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4,7,9,10],[5,6,8]] => 000100100 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4,7,8,9,10],[5,6]] => 000100000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,5,6,8,10],[4,7,9]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,5,6,9,10],[4,7,8]] => 001001000 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,5,7,8,10],[4,6,9]] => 001010010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,3,5,7,9,10],[4,6,8]] => 001010100 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,2,3,5,7,8,9,10],[4,6]] => 001010000 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,5,6,7,8,10],[4,9]] => 001000010 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,2,3,5,6,7,9,10],[4,8]] => 001000100 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,3,5,6,8,9,10],[4,7]] => 001001000 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,5,6,7,8,9,10],[4]] => 001000000 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,3,4,5,6,8,10],[7,9]] => 000001010 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,3,4,5,6,9,10],[7,8]] => 000001000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,4,5,7,8,10],[6,9]] => 000010010 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,3,4,5,7,9,10],[6,8]] => 000010100 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,8,9,10],[6,7]] => 000010000 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,2,3,4,6,7,8,10],[5,9]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,4,6,7,9,10],[5,8]] => 000100100 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,3,4,6,8,9,10],[5,7]] => 000101000 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,2,3,4,6,7,8,9,10],[5]] => 000100000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,4,5,6,7,9,10],[8]] => 000000100 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,3,4,5,6,8,9,10],[7]] => 000001000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,3,4,5,7,8,9,10],[6]] => 000010000 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,2,5,6,7,8],[3,4,9]] => 01000001 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,2,5,6,7,8],[3,4],[9]] => 01000001 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,4,5,6,7,8],[2],[3],[9]] => 11000001 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,2,3,7,8],[4,5,6,9]] => 00100001 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,2,3,7,8],[4,5,6],[9]] => 00100001 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,3,6,7,8],[2,5],[4,9]] => 10100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,3,6,7,8],[2,5],[4],[9]] => 10100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,5,6,7,8],[2],[3],[4],[9]] => 11100001 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,3,4,8],[2,6,7],[5,9]] => 10010001 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,3,4,8],[2,6,7],[5],[9]] => 10010001 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,2,7,8],[3,4],[5,6],[9]] => 01010001 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,4,7,8],[2,6],[3],[5],[9]] => 11010001 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,6,7,8],[2],[3],[4],[5],[9]] => 11110001 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,2,5],[3,4,8],[6,7],[9]] => 01001001 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,4,5],[2,7,8],[3],[6],[9]] => 11001001 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,3,8],[2,5],[4,7],[6,9]] => 10101001 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,3,8],[2,5],[4,7],[6],[9]] => 10101001 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,5,8],[2,7],[3],[4],[6],[9]] => 11101001 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,7,8],[2],[3],[4],[5],[6],[9]] => 11111001 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,2,5,6,7,8,9],[3,4,10]] => 010000001 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,5,6,7,8,9],[3,4],[10]] => 010000001 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,4,5,6,7,8,9],[2],[3],[10]] => 110000001 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,2,3,7,8,9],[4,5,6,10]] => 001000001 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,2,3,7,8,9],[4,5,6],[10]] => 001000001 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,3,6,7,8,9],[2,5],[4,10]] => 101000001 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,3,6,7,8,9],[2,5],[4],[10]] => 101000001 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,5,6,7,8,9],[2],[3],[4],[10]] => 111000001 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,2,3,4,9],[5,6,7,8],[10]] => 000100001 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,3,4,8,9],[2,6,7],[5,10]] => 100100001 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,3,4,8,9],[2,6,7],[5],[10]] => 100100001 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,2,7,8,9],[3,4],[5,6],[10]] => 010100001 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,4,7,8,9],[2,6],[3],[5],[10]] => 110100001 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,6,7,8,9],[2],[3],[4],[5],[10]] => 111100001 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,2,5,9],[3,4,8],[6,7,10]] => 010010001 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,5,9],[3,4,8],[6,7],[10]] => 010010001 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,4,5,9],[2,7,8],[3],[6],[10]] => 110010001 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,3,8,9],[2,5],[4,7],[6,10]] => 101010001 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,8,9],[2,5],[4,7],[6],[10]] => 101010001 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,5,8,9],[2,7],[3],[4],[6],[10]] => 111010001 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => 111110001 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,3,6],[2,5,9],[4,8],[7,10]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,6],[2,5,9],[4,8],[7],[10]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,5,6],[2,8,9],[3],[4],[7],[10]] => 111001001 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,2,9],[3,4],[5,6],[7,8],[10]] => 010101001 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,4,9],[2,6],[3,8],[5],[7],[10]] => 110101001 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,6,9],[2,8],[3],[4],[5],[7],[10]] => 111101001 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => 111111001 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,2,3,6,7,8,9],[4,5]] => 00100000 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,2,5,6,7,8,9],[3],[4]] => 01100000 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,2,3,4,8,9],[5,6,7]] => 00010000 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,2,4,7,8,9],[3,6],[5]] => 01010000 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,6,7,8,9],[3],[4],[5]] => 01110000 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,2,4,5,9],[3,7,8],[6]] => 01001000 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,3,8,9],[4,5],[6,7]] => 00101000 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,2,5,8,9],[3,7],[4],[6]] => 01101000 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,2,7,8,9],[3],[4],[5],[6]] => 01111000 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,2,5,6],[3,4,8,9],[7]] => 01000100 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)

[[1,2,3,6],[4,5,9],[7,8]] => 00100100 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,5,6],[3,8,9],[4],[7]] => 01100100 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,2,4,9],[3,6],[5,8],[7]] => 01010100 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,6,9],[3,8],[4],[5],[7]] => 01110100 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,2,8,9],[3],[4],[5],[6],[7]] => 01111100 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,2,4],[3,6,7],[5,9],[8]] => 01010010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,7],[3,6,9],[4],[5],[8]] => 01110010 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,2,5],[3,7],[4,9],[6],[8]] => 01101010 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,7],[3,9],[4],[5],[6],[8]] => 01111010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2],[3,6],[4,8],[5],[7],[9]] => 01110101 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,2],[3,8],[4],[5],[6],[7],[9]] => 01111101 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,2,3,6,7,8,9,10],[4,5]] => 001000000 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,2,5,6,7,8,9,10],[3],[4]] => 011000000 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,2,3,4,8,9,10],[5,6,7]] => 000100000 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,2,4,7,8,9,10],[3,6],[5]] => 010100000 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,6,7,8,9,10],[3],[4],[5]] => 011100000 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,2,4,5,9,10],[3,7,8],[6]] => 010010000 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,3,8,9,10],[4,5],[6,7]] => 001010000 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,5,8,9,10],[3,7],[4],[6]] => 011010000 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,2,7,8,9,10],[3],[4],[5],[6]] => 011110000 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,2,4,5,6],[3,8,9,10],[7]] => 010001000 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,3,6,10],[4,5,9],[7,8]] => 001001000 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,2,5,6,10],[3,8,9],[4],[7]] => 011001000 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,2,4,9,10],[3,6],[5,8],[7]] => 010101000 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,6,9,10],[3,8],[4],[5],[7]] => 011101000 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,2,8,9,10],[3],[4],[5],[6],[7]] => 011111000 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,2,6,7],[3,5,9,10],[4],[8]] => 011000100 => ([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)

[[1,2,4,7],[3,6,10],[5,9],[8]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,6,7],[3,9,10],[4],[5],[8]] => 011100100 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,2,5,10],[3,7],[4,9],[6],[8]] => 011010100 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,2,7,10],[3,9],[4],[5],[6],[8]] => 011110100 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 011111100 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,2,3],[4,5,8],[6,7],[9,10]] => 001010010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,5],[3,7,8],[4,10],[6],[9]] => 011010010 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,2,8],[3,7,10],[4],[5],[6],[9]] => 011110010 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,2,4],[3,6],[5,8],[7,10],[9]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2,6],[3,8],[4,10],[5],[7],[9]] => 011101010 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,8],[3,10],[4],[5],[6],[7],[9]] => 011111010 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2],[3,5],[4,7],[6,9],[8],[10]] => 011010101 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2],[3,7],[4,9],[5],[6],[8],[10]] => 011110101 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,2],[3,9],[4],[5],[6],[7],[8],[10]] => 011111101 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,3,4,7,8,9],[5,6]] => 00010000 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,2,4,5,8,9],[3,7],[6]] => 01001000 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,4,5,6,7],[3,9],[8]] => 01000010 => ([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)

[[1,2,5,6,9],[3,8],[4],[7]] => 01100100 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,2,3,4,7,8],[5,6],[9]] => 00010001 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,2,5,6,7,8],[3],[4],[9]] => 01100001 => ([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)

[[1,2,4,5],[3,7],[6,9],[8]] => 01001010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,6,7],[3,9],[4],[5],[8]] => 01110010 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,2,5,6],[3,8],[4],[7],[9]] => 01100101 => ([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)

[[1,2,7,8],[3],[4],[5],[6],[9]] => 01111001 => ([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)

[[1,2,4,5,8,9,10],[3,7],[6]] => 010010000 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,2,4,5,6,7],[3,9,10],[8]] => 010000100 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,2,3,4,9,10],[5,6],[7,8]] => 000101000 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,2,5,6,9,10],[3,8],[4],[7]] => 011001000 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,2,4,5,6,7,8,9],[3],[10]] => 010000001 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,3,4,7,8],[5,6],[9,10]] => 000100010 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,2,5,6,7,8],[3,10],[4],[9]] => 011000010 => ([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)

[[1,2,4,5,10],[3,7],[6,9],[8]] => 010010100 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,6,7,10],[3,9],[4],[5],[8]] => 011100100 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,2,4,5,8,9],[3,7],[6],[10]] => 010010001 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,6,7,8,9],[3],[4],[5],[10]] => 011100001 => ([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)

[[1,2,5,6],[3,8],[4,10],[7],[9]] => 011001010 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)

[[1,2,7,8],[3,10],[4],[5],[6],[9]] => 011110010 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,2,4,5],[3,7],[6,9],[8],[10]] => 010010101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,6,7],[3,9],[4],[5],[8],[10]] => 011100101 => ([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)

[[1,2,8,9],[3],[4],[5],[6],[7],[10]] => 011111001 => ([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)

[[1,4,7,9,11,12],[2,5,8,10],[3,6]] => 11011010100 => ([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46)

[[1,3],[2,5],[4,9],[6],[7],[8],[10]] => 101011101 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,3],[2,5],[4,8],[6],[7],[9],[10]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,3],[2,7],[4,9],[5],[6],[8],[10]] => 101110101 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32)

[[1,3],[2,7],[4,8],[5],[6],[9],[10]] => 101110111 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,3],[2,6],[4,9],[5],[7],[8],[10]] => 101101101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3],[2,6],[4,8],[5],[7],[9],[10]] => 101101011 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3],[2,6],[4],[5],[7],[8],[9],[10]] => 101101111 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,3],[2,9],[4],[5],[6],[7],[8],[10]] => 101111101 => ([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)

[[1,3],[2,8],[4],[5],[6],[7],[9],[10]] => 101111011 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,3],[2,7],[4],[5],[6],[8],[9],[10]] => 101110111 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5],[2,7],[3,8],[4],[6],[9],[10]] => 111010111 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,5],[2,6],[3,9],[4],[7],[8],[10]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5],[2,6],[3,8],[4],[7],[9],[10]] => 111011011 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5],[2,6],[3],[4],[7],[8],[9],[10]] => 111011111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,4],[2,7],[3,9],[5],[6],[8],[10]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4],[2,7],[3,8],[5],[6],[9],[10]] => 110110111 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,4],[2,6],[3,9],[5],[7],[8],[10]] => 110101101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,4],[2,6],[3,8],[5],[7],[9],[10]] => 110101011 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,4],[2,6],[3],[5],[7],[8],[9],[10]] => 110101111 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,4],[2,9],[3],[5],[6],[7],[8],[10]] => 110111101 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,4],[2,8],[3],[5],[6],[7],[9],[10]] => 110111011 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,4],[2,7],[3],[5],[6],[8],[9],[10]] => 110110111 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => 110111111 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,7],[2,8],[3],[4],[5],[6],[9],[10]] => 111110111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,6],[2,9],[3],[4],[5],[7],[8],[10]] => 111101101 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,6],[2,8],[3],[4],[5],[7],[9],[10]] => 111101011 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,6],[2,7],[3],[4],[5],[8],[9],[10]] => 111101111 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,5],[2,9],[3],[4],[6],[7],[8],[10]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5],[2,8],[3],[4],[6],[7],[9],[10]] => 111011011 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5],[2,7],[3],[4],[6],[8],[9],[10]] => 111010111 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => 111011111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => 111111011 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => 111110111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => 111101111 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,2],[3,5],[4],[6],[7],[8],[9]] => 01101111 => ([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25)

[[1,2,4],[3],[5],[6],[7],[8],[9]] => 01011111 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,2],[3,4],[5,7],[6],[8],[9]] => 01011011 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,3,6],[2,5],[4],[7],[8],[9]] => 10100111 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28)

[[1,2,3,5],[4],[6],[7],[8],[9]] => 00101111 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,2],[3,4],[5,6],[7,9],[8]] => 01010110 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,3],[4,5,7],[6],[8],[9]] => 00101011 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,2,4,7],[3,6],[5],[8],[9]] => 01010011 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,2,3,4,6],[5],[7],[8],[9]] => 00010111 => ([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28)

[[1,3,4],[2,7],[5,8],[6,9]] => 10011011 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,2,5],[3,6,9],[4,8],[7]] => 01101100 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,3,5,8],[2,4,7],[6],[9]] => 10101001 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,3,5,8],[4,7],[6],[9]] => 00101001 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25)

[[1,2,3,4,5,7],[6],[8],[9]] => 00001011 => ([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27)

[[1,3,6,9],[2,5,8],[4,7]] => 10100100 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,3,5,6],[4,8],[7,9]] => 00100101 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,3,4],[5,6,7,9],[8]] => 00010010 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,2,4,6,9],[3,5,8],[7]] => 01010100 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,4,6,9],[5,8],[7]] => 00010100 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,2,3,4,5,6,8],[7],[9]] => 00000101 => ([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24)

[[1,2,3,5,7,9],[4,6,8]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,4,5,7,9],[6,8]] => 00001010 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2],[3,5],[4],[6],[7],[8],[9],[10]] => 011011111 => ([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30)

[[1,2,4],[3],[5],[6],[7],[8],[9],[10]] => 010111111 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,2],[3,4],[5,7],[6],[8],[9],[10]] => 010110111 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,3,6],[2,5],[4],[7],[8],[9],[10]] => 101001111 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34)

[[1,2,3,5],[4],[6],[7],[8],[9],[10]] => 001011111 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,2],[3,4],[5,6],[7,9],[8],[10]] => 010101101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,3],[4,5,7],[6],[8],[9],[10]] => 001010111 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,4,7],[3,6],[5],[8],[9],[10]] => 010100111 => ([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)

[[1,2,3,4,6],[5],[7],[8],[9],[10]] => 000101111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,3,4],[2,7],[5,8],[6,10],[9]] => 100110110 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,2,5],[3,6,9],[4,8],[7],[10]] => 011011001 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,3,5,8],[2,4,7],[6],[9],[10]] => 101010011 => ([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)

[[1,2,3,5,8],[4,7],[6],[9],[10]] => 001010011 => ([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)

[[1,2,3,4,5,7],[6],[8],[9],[10]] => 000010111 => ([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34)

[[1,2,5],[3,6,7],[4,9],[8,10]] => 011010101 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,4,5],[3,8],[6,9],[7,10]] => 010011011 => ([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34)

[[1,2,3],[4,5,6],[7,8,10],[9]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,5,6],[4,8],[7,10],[9]] => 001001010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,4],[5,6,7,9],[8],[10]] => 000100101 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,4,6,9],[3,5,8],[7],[10]] => 010101001 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,3,4,6,9],[5,8],[7],[10]] => 000101001 => ([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,6,8],[7],[9],[10]] => 000001011 => ([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32)

[[1,3,4,6],[2,7,9],[5,8,10]] => 100101101 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,2,3,7],[4,5,8,10],[6,9]] => 001010110 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,2,4,7,10],[3,6,9],[5,8]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,2,3,4,6,7],[5,9],[8,10]] => 000100101 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,3,5,7,10],[2,4,6,9],[8]] => 101010100 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,5,7,10],[4,6,9],[8]] => 001010100 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,2,3,4,5,7,10],[6,9],[8]] => 000010100 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,6,7,9],[8],[10]] => 000000101 => ([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28)

[[1,2,8],[3,9],[4],[5],[6],[7]] => 01111101 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,2,7],[3,8],[4,9],[5],[6]] => 01111011 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,2,7,9],[3,8],[4],[5],[6]] => 01111010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,6,9],[3,7],[4,8],[5]] => 01110110 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,2,6,8],[3,7,9],[4],[5]] => 01110101 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,2,6,8,9],[3,7],[4],[5]] => 01110100 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,2,5,8],[3,6,9],[4,7]] => 01101101 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,5,8,9],[3,6],[4,7]] => 01101100 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,2,5,7,8,9],[3,6],[4]] => 01101000 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,2,4,6,8,9],[3,5,7]] => 01010100 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,4,6,7,8,9],[3,5]] => 01010000 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,9],[3,10],[4],[5],[6],[7],[8]] => 011111101 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,8],[3,9],[4,10],[5],[6],[7]] => 011111011 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,2,8,10],[3,9],[4],[5],[6],[7]] => 011111010 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2,7],[3,8],[4,9],[5,10],[6]] => 011110111 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,2,7,10],[3,8],[4,9],[5],[6]] => 011110110 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,2,7,9],[3,8,10],[4],[5],[6]] => 011110101 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,2,7,9,10],[3,8],[4],[5],[6]] => 011110100 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,2,6,10],[3,7],[4,8],[5,9]] => 011101110 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,6,9],[3,7,10],[4,8],[5]] => 011101101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,6,9,10],[3,7],[4,8],[5]] => 011101100 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,2,6,8,10],[3,7,9],[4],[5]] => 011101010 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,6,8,9,10],[3,7],[4],[5]] => 011101000 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,2,5,8,10],[3,6,9],[4,7]] => 011011010 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,5,8,9,10],[3,6],[4,7]] => 011011000 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,2,5,7,9],[3,6,8,10],[4]] => 011010101 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,5,7,8,9,10],[3,6],[4]] => 011010000 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,2,3,4],[5,6],[7,9],[8,10]] => 000101101 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,2,3,4],[5,7],[6,8],[9,10]] => 000110110 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,2,3,4],[5,7],[6,9],[8,10]] => 000110101 => ([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)

[[1,2,3,4],[5,8],[6,9],[7,10]] => 000111011 => ([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)

[[1,2,3,5],[4,6],[7,8],[9,10]] => 001011010 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,2,3,5],[4,6],[7,9],[8,10]] => 001011101 => ([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)

[[1,2,3,5],[4,7],[6,8],[9,10]] => 001010110 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,2,3,5],[4,7],[6,9],[8,10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,5],[4,8],[6,9],[7,10]] => 001011011 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,2,3,6],[4,7],[5,8],[9,10]] => 001101110 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,2,3,6],[4,7],[5,9],[8,10]] => 001101101 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,2,3,6],[4,8],[5,9],[7,10]] => 001101011 => ([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)

[[1,2,4,6],[3,5],[7,8],[9,10]] => 010101010 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,2,4,6],[3,5],[7,9],[8,10]] => 010101101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,4,7],[3,5],[6,8],[9,10]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,4,7],[3,5],[6,9],[8,10]] => 010110101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4,8],[3,5],[6,9],[7,10]] => 010111011 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,2,4,5],[3,6],[7,8],[9,10]] => 010011010 => ([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)

[[1,2,4,5],[3,6],[7,9],[8,10]] => 010011101 => ([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)

[[1,2,4,5],[3,7],[6,8],[9,10]] => 010010110 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,2,4,5],[3,7],[6,9],[8,10]] => 010010101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,4,6],[3,7],[5,8],[9,10]] => 010101110 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,4,6],[3,7],[5,9],[8,10]] => 010101101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,4,6],[3,8],[5,9],[7,10]] => 010101011 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,4,7],[3,8],[5,9],[6,10]] => 010110111 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,5,8],[3,6],[4,7],[9,10]] => 011011010 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,5,9],[3,6],[4,7],[8,10]] => 011011101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,2,5,7],[3,6],[4,8],[9,10]] => 011010110 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,5,7],[3,6],[4,9],[8,10]] => 011010101 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,5,8],[3,6],[4,9],[7,10]] => 011011011 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,2,5,6],[3,7],[4,8],[9,10]] => 011001110 => ([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)

[[1,2,5,6],[3,7],[4,9],[8,10]] => 011001101 => ([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)

[[1,2,5,6],[3,8],[4,9],[7,10]] => 011001011 => ([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)

[[1,2,5,7],[3,8],[4,9],[6,10]] => 011010111 => ([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)

[[1,2,6,9],[3,7],[4,8],[5,10]] => 011101101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,6,8],[3,7],[4,9],[5,10]] => 011101011 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,2,6,7],[3,8],[4,9],[5,10]] => 011100111 => ([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)

[[1,5],[2,6],[3],[4],[7],[8],[9]] => 11101111 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,3,6],[2,7],[4],[5],[8],[9]] => 10110111 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,3,8],[2,9],[4],[5],[6],[7]] => 10111101 => ([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)

[[1,5,7],[2,6,8],[3],[4],[9]] => 11101011 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,3,4,7],[2,8],[5],[6],[9]] => 10011011 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,5,9],[2,6],[3],[4],[7],[8]] => 11101110 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24)

[[1,3,4,9],[2],[5],[6],[7],[8]] => 10011110 => ([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)

[[1,3,4,5,8],[2,9],[6],[7]] => 10001101 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,3,4,7,9],[2,8],[5],[6]] => 10011010 => ([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28)

[[1,3,4,5,6,9],[2],[7],[8]] => 10000110 => ([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27)

[[1,7],[2,8],[3,9],[4],[5],[6],[10]] => 111110111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,3,6],[2,7],[4],[5],[8],[9],[10]] => 101101111 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,3,8],[2,9],[4,10],[5],[6],[7]] => 101111011 => ([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30)

[[1,5,7],[2,6,8],[3],[4],[9],[10]] => 111010111 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32)

[[1,3,4,7],[2,8],[5],[6],[9],[10]] => 100110111 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => 101111110 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,5,9],[2,6,10],[3],[4],[7],[8]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,3,4,9],[2,10],[5],[6],[7],[8]] => 100111101 => ([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34)

[[1,3,6,8],[2,7,9],[4],[5],[10]] => 101101011 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,4,5,8],[2,9],[6],[7],[10]] => 100011011 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,3,6,10],[2,7],[4],[5],[8],[9]] => 101101110 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,4,5,10],[2],[6],[7],[8],[9]] => 100011110 => ([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34)

[[1,3,4,7,9],[2,8,10],[5],[6]] => 100110101 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34)

[[1,3,4,5,6,9],[2,10],[7],[8]] => 100001101 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,3,4,5,8,10],[2,9],[6],[7]] => 100011010 => ([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35)

[[1,3,4,5,6,7,10],[2],[8],[9]] => 100000110 => ([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32)

[[1,6],[2,8],[3,9],[4],[5],[7]] => 11110101 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,6,8],[2,9],[3],[4],[5],[7]] => 11110101 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,5],[2,7],[3,8],[4,9],[6]] => 11101011 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,5,8],[2,7],[3,9],[4],[6]] => 11101001 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,5,7],[2,8,9],[3],[4],[6]] => 11101010 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,5,7,9],[2,8],[3],[4],[6]] => 11101010 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,4,8],[2,6],[3,7],[5,9]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,7],[2,6,9],[3,8],[5]] => 11010010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,4,7,9],[2,6],[3,8],[5]] => 11010010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,4,6,8],[2,7,9],[3],[5]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,6,8,9],[2,7],[3],[5]] => 11010100 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,3,6],[2,5,8],[4,7,9]] => 10100101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,3,6,8],[2,5,9],[4,7]] => 10100101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,3,6,8,9],[2,5],[4,7]] => 10100100 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,3,5,7],[2,6,8,9],[4]] => 10101010 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,3,5,7,9],[2,6,8],[4]] => 10101010 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,3,5,7,8,9],[2,6],[4]] => 10101000 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,7],[2,9],[3,10],[4],[5],[6],[8]] => 111110101 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,7,9],[2,10],[3],[4],[5],[6],[8]] => 111110101 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,6],[2,8],[3,9],[4,10],[5],[7]] => 111101011 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,6,9],[2,8],[3,10],[4],[5],[7]] => 111101001 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,6,8],[2,9,10],[3],[4],[5],[7]] => 111101010 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,6,8,10],[2,9],[3],[4],[5],[7]] => 111101010 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,5,9],[2,7],[3,8],[4,10],[6]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,5,8],[2,7,10],[3,9],[4],[6]] => 111010010 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,5,8,10],[2,7],[3,9],[4],[6]] => 111010010 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,5,7,9],[2,8,10],[3],[4],[6]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,5,7,9,10],[2,8],[3],[4],[6]] => 111010100 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,4,8],[2,6,10],[3,7],[5,9]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,8,10],[2,6],[3,7],[5,9]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,7],[2,6,9],[3,8,10],[5]] => 110100101 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,4,7,9],[2,6,10],[3,8],[5]] => 110100101 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,4,7,9,10],[2,6],[3,8],[5]] => 110100100 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,4,6,8],[2,7,9,10],[3],[5]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,6,8,10],[2,7,9],[3],[5]] => 110101010 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,4,6,8,9,10],[2,7],[3],[5]] => 110101000 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,3,6,9],[2,5,8],[4,7,10]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,6,8],[2,5,9,10],[4,7]] => 101001010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,6,8,10],[2,5,9],[4,7]] => 101001010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,6,8,9,10],[2,5],[4,7]] => 101001000 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,3,5,7,9],[2,6,8,10],[4]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,3,5,7,9,10],[2,6,8],[4]] => 101010100 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,3,5,7,8,9,10],[2,6],[4]] => 101010000 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,7],[2,8],[3],[4],[5],[6],[9]] => 11111011 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,6],[2,7],[3,8],[4],[5],[9]] => 11110111 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,6,8],[2,7],[3],[4],[5],[9]] => 11110101 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,5,8],[2,6],[3,7],[4],[9]] => 11101101 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,5,7,8],[2,6],[3],[4],[9]] => 11101001 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,4,8],[2,5],[3,6],[7,9]] => 11011101 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)

[[1,4,7],[2,5,8],[3,6],[9]] => 11011011 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,4,7,8],[2,5],[3,6],[9]] => 11011001 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,4,6,8],[2,5,7],[3],[9]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,6,7,8],[2,5],[3],[9]] => 11010001 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,3,6],[2,4,7],[5,8,9]] => 10110110 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,3,6,8],[2,4,7],[5,9]] => 10110101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,3,6,7,8],[2,4],[5,9]] => 10110001 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,3,5,7,8],[2,4,6],[9]] => 10101001 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,3,5,6,7,8],[2,4],[9]] => 10100001 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,4,6,7,8],[3,5,9]] => 01010001 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,2,4,5,6,7,8],[3,9]] => 01000001 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,8],[2,9],[3],[4],[5],[6],[7],[10]] => 111111011 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,7,9],[2,8],[3],[4],[5],[6],[10]] => 111110101 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,6],[2,7],[3,8],[4,9],[5],[10]] => 111101111 => ([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30)

[[1,6,9],[2,7],[3,8],[4],[5],[10]] => 111101101 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,6,8],[2,7,9],[3],[4],[5],[10]] => 111101011 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,6,8,9],[2,7],[3],[4],[5],[10]] => 111101001 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,5,9],[2,6],[3,7],[4,8],[10]] => 111011101 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,5,8],[2,6,9],[3,7],[4],[10]] => 111011011 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,5,8,9],[2,6],[3,7],[4],[10]] => 111011001 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,5,7,9],[2,6,8],[3],[4],[10]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,5,7,8,9],[2,6],[3],[4],[10]] => 111010001 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,4,8],[2,5,9],[3,6],[7,10]] => 110111011 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,4,8,9],[2,5],[3,6],[7,10]] => 110111001 => ([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)

[[1,4,7,9],[2,5,8],[3,6],[10]] => 110110101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,7,8,9],[2,5],[3,6],[10]] => 110110001 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,4,6,8],[2,5,7,9],[3],[10]] => 110101011 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,4,6,8,9],[2,5,7],[3],[10]] => 110101001 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,4,6,7,8,9],[2,5],[3],[10]] => 110100001 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,3,6,9],[2,4,7],[5,8,10]] => 101101101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3,6,8],[2,4,7,9],[5,10]] => 101101011 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,6,8,9],[2,4,7],[5,10]] => 101101001 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,3,6,7,8,9],[2,4],[5,10]] => 101100001 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,3,5,7,9],[2,4,6,8],[10]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,3,5,7,8,9],[2,4,6],[10]] => 101010001 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,5,6,7,8,9],[2,4],[10]] => 101000001 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2,4,6,8,9],[3,5,7,10]] => 010101001 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,4,6,7,8,9],[3,5,10]] => 010100001 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,2,4,5,6,7,8,9],[3,10]] => 010000001 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2],[3,9],[4],[5],[6],[7],[8]] => 01111110 => ([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21)

[[1,2],[3,8],[4,9],[5],[6],[7]] => 01111101 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,2],[3,7],[4,8],[5,9],[6]] => 01111011 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,2,7],[3,8,9],[4],[5],[6]] => 01111010 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,6],[3,7,9],[4,8],[5]] => 01110110 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,2,5],[3,6,8],[4,7,9]] => 01101101 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,5,7],[3,6,8,9],[4]] => 01101010 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2],[3,10],[4],[5],[6],[7],[8],[9]] => 011111110 => ([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24)

[[1,2],[3,9],[4,10],[5],[6],[7],[8]] => 011111101 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2],[3,8],[4,9],[5,10],[6],[7]] => 011111011 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,2,8],[3,9,10],[4],[5],[6],[7]] => 011111010 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2,7],[3,8,10],[4,9],[5],[6]] => 011110110 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,2,6],[3,7,10],[4,8],[5,9]] => 011101110 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,6],[3,7,9],[4,8,10],[5]] => 011101101 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,6,8],[3,7,9,10],[4],[5]] => 011101010 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,5,8],[3,6,9,10],[4,7]] => 011011010 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3],[2,8],[4,9],[5],[6],[7]] => 10111101 => ([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)

[[1,2,3],[4,9],[5],[6],[7],[8]] => 00111110 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,4],[2,7],[3,8],[5,9],[6]] => 11011011 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,3,9],[2,4],[5,8],[6],[7]] => 10111100 => ([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)

[[1,2,4],[3,8,9],[5],[6],[7]] => 01011100 => ([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)

[[1,2,3,4],[5,9],[6],[7],[8]] => 00011110 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,4,9],[2,5],[3,7],[6,8]] => 11011010 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,5],[3,4,9],[6,8],[7]] => 01001100 => ([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)

[[1,4,5,9],[2,7],[3,8],[6]] => 11001010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,2,3,5],[4,8,9],[6],[7]] => 00101100 => ([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)

[[1,2,3,4,5],[6,9],[7],[8]] => 00001110 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,4,5,6,9],[2,7],[3,8]] => 11000110 => ([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)

[[1,2,4,6],[3,5,8,9],[7]] => 01010100 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,4,6],[5,8,9],[7]] => 00010100 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,2,3,4,5,6],[7,9],[8]] => 00000110 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,2,3,5,7],[4,6,8,9]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,4,5,7],[6,8,9]] => 00001010 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,3],[2,9],[4,10],[5],[6],[7],[8]] => 101111101 => ([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)

[[1,2,3],[4,10],[5],[6],[7],[8],[9]] => 001111110 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,4],[2,8],[3,9],[5,10],[6],[7]] => 110111011 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,3,10],[2,4],[5,9],[6],[7],[8]] => 101111100 => ([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)

[[1,2,4],[3,9,10],[5],[6],[7],[8]] => 010111100 => ([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)

[[1,2,3,4],[5,10],[6],[7],[8],[9]] => 000111110 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,4,10],[2,5],[3,8],[6,9],[7]] => 110111010 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,2,5],[3,4,10],[6,9],[7],[8]] => 010011100 => ([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)

[[1,4,5,10],[2,8],[3,9],[6],[7]] => 110011010 => ([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)

[[1,2,3,5],[4,9,10],[6],[7],[8]] => 001011100 => ([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)

[[1,2,3,4,5],[6,10],[7],[8],[9]] => 000011110 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,2,9],[3,5,10],[4,6],[7,8]] => 011011001 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,5,6,10],[2,7],[3,8],[4,9]] => 111001110 => ([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)

[[1,3,6],[2,5,9],[4,8,10],[7]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,3,10],[4,5,6],[7,9],[8]] => 001001100 => ([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)

[[1,4,5,6,10],[2,8],[3,9],[7]] => 110001010 => ([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)

[[1,2,4,6],[3,5,9,10],[7],[8]] => 010101100 => ([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)

[[1,2,3,4,6],[5,9,10],[7],[8]] => 000101100 => ([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)

[[1,2,3,4,5,6],[7,10],[8],[9]] => 000001110 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,3,6,10],[2,4,7],[5,8,9]] => 101101100 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,2,4,7],[3,5,6,10],[8,9]] => 010100100 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,5,6,7,10],[2,8],[3,9]] => 110000110 => ([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)

[[1,2,3,5,7],[4,6,9,10],[8]] => 001010100 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,2,3,4,5,7],[6,9,10],[8]] => 000010100 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,6,7],[8,10],[9]] => 000000110 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,2,3,4,6,8],[5,7,9,10]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4,5,6,8],[7,9,10]] => 000001010 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,3],[2,4],[5,9],[6],[7],[8]] => 10111110 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,3,9],[2,4],[5],[6],[7],[8]] => 10111110 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,4],[2,5],[3,6],[7,9],[8]] => 11011110 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,4,9],[2,5],[3,6],[7],[8]] => 11011110 => ([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25)

[[1,2,4],[3,5,9],[6],[7],[8]] => 01011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,4,9],[3,5],[6],[7],[8]] => 01011110 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,2,5],[3,6,9],[4,7],[8]] => 01101110 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,2,5,9],[3,6],[4,7],[8]] => 01101110 => ([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25)

[[1,3,5,9],[2,4,6],[7],[8]] => 10101110 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,2,3,5,9],[4,6],[7],[8]] => 00101110 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,3,6,9],[2,4,7],[5,8]] => 10110110 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,3,6,9],[4,7],[5,8]] => 00110110 => ([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25)

[[1,2,4,6],[3,5,7,9],[8]] => 01010110 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,4,6,9],[3,5,7],[8]] => 01010110 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,2,3,4,6,9],[5,7],[8]] => 00010110 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,3],[2,4],[5,10],[6],[7],[8],[9]] => 101111110 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,3,10],[2,4],[5],[6],[7],[8],[9]] => 101111110 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,4],[2,5],[3,6],[7,10],[8],[9]] => 110111110 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,4,10],[2,5],[3,6],[7],[8],[9]] => 110111110 => ([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30)

[[1,2,4],[3,5,10],[6],[7],[8],[9]] => 010111110 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,2,4,10],[3,5],[6],[7],[8],[9]] => 010111110 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,5,10],[2,6],[3,7],[4,8],[9]] => 111011110 => ([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30)

[[1,2,5],[3,6,10],[4,7],[8],[9]] => 011011110 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,2,5,10],[3,6],[4,7],[8],[9]] => 011011110 => ([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31)

[[1,3,5,10],[2,4,6],[7],[8],[9]] => 101011110 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,2,3,5,10],[4,6],[7],[8],[9]] => 001011110 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,3,6],[2,4,7],[5,8,10],[9]] => 101101110 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,6,10],[2,4,7],[5,8],[9]] => 101101110 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,2,3,6,10],[4,7],[5,8],[9]] => 001101110 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,2,4,6],[3,5,7,10],[8],[9]] => 010101110 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,4,6,10],[3,5,7],[8],[9]] => 010101110 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,2,3,4,6,10],[5,7],[8],[9]] => 000101110 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,2,4,7],[3,5,8,10],[6,9]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,4,7,10],[3,5,8],[6,9]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,3,4,7,10],[5,8],[6,9]] => 000110110 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,3,5,7,10],[2,4,6,8],[9]] => 101010110 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,2,3,5,7,10],[4,6,8],[9]] => 001010110 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,2,3,4,5,7,10],[6,8],[9]] => 000010110 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,4],[2,5],[3],[6],[7],[8],[9]] => 11011111 => ([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24)

[[1,5],[2,6],[3,7],[4],[8],[9]] => 11101111 => ([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25)

[[1,3,5],[2,6],[4],[7],[8],[9]] => 10101111 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,3,6],[2,7],[4,8],[5],[9]] => 10110111 => ([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24)

[[1,4,6],[2,5,7],[3],[8],[9]] => 11010111 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,3,4,6],[2,7],[5],[8],[9]] => 10010111 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,3,7],[2,4],[5,8],[6,9]] => 10111011 => ([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24)

[[1,4,7],[2,5,8],[3,9],[6]] => 11011011 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,3,4,7],[2,8],[5,9],[6]] => 10011011 => ([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27)

[[1,3,5,7],[2,6,8],[4],[9]] => 10101011 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,3,4,5,7],[2,8],[6],[9]] => 10001011 => ([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28)

[[1,3,5,8],[2,6,9],[4,7]] => 10101101 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,3,4,5,8],[2,6],[7,9]] => 10001101 => ([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28)

[[1,3,4,6,8],[2,7,9],[5]] => 10010101 => ([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24)

[[1,3,4,5,6,8],[2,9],[7]] => 10000101 => ([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26)

[[1,3,4,5,7,9],[2,6,8]] => 10001010 => ([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26)

[[1,3,4,5,6,7,9],[2,8]] => 10000010 => ([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24)

[[1,4],[2,5],[3],[6],[7],[8],[9],[10]] => 110111111 => ([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28)

[[1,5],[2,6],[3,7],[4],[8],[9],[10]] => 111011111 => ([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30)

[[1,3,5],[2,6],[4],[7],[8],[9],[10]] => 101011111 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,3,6],[2,7],[4,8],[5],[9],[10]] => 101101111 => ([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30)

[[1,4,6],[2,5,7],[3],[8],[9],[10]] => 110101111 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,3,4,6],[2,7],[5],[8],[9],[10]] => 100101111 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,3,7],[2,8],[4,9],[5,10],[6]] => 101110111 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28)

[[1,4,7],[2,5,8],[3,9],[6],[10]] => 110110111 => ([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28)

[[1,3,4,7],[2,8],[5,9],[6],[10]] => 100110111 => ([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34)

[[1,3,5,7],[2,6,8],[4],[9],[10]] => 101010111 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,3,4,5,7],[2,8],[6],[9],[10]] => 100010111 => ([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35)

[[1,3,4,8],[2,5],[6,9],[7,10]] => 100111011 => ([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34)

[[1,3,5,8],[2,6,9],[4,10],[7]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,3,4,5,8],[2,9],[6,10],[7]] => 100011011 => ([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34)

[[1,3,4,6,8],[2,7,9],[5],[10]] => 100101011 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,3,4,5,6,8],[2,9],[7],[10]] => 100001011 => ([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34)

[[1,4,6,9],[2,5,7,10],[3,8]] => 110101101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,4,6,9],[2,7,10],[5,8]] => 100101101 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,3,4,5,6,9],[2,7],[8,10]] => 100001101 => ([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34)

[[1,3,4,5,7,9],[2,8,10],[6]] => 100010101 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,4,5,6,7,9],[2,10],[8]] => 100000101 => ([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31)

[[1,3,4,6,8,10],[2,5,7,9]] => 100101010 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3,4,5,6,8,10],[2,7,9]] => 100001010 => ([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32)

[[1,3,4,5,6,7,8,10],[2,9]] => 100000010 => ([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28)

[[1,2,3,7],[4,8],[5,9],[6]] => 00111011 => ([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)

[[1,2,3,5,8],[4,6,9],[7]] => 00101101 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,2,3,4,5,8],[6,9],[7]] => 00001101 => ([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)

[[1,2,4,8],[3,5,9],[6,10],[7]] => 010111011 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,2,3,4,8],[5,9],[6,10],[7]] => 000111011 => ([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)

[[1,2,3,6,9],[4,7,10],[5,8]] => 001101101 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,2,4,6,9],[3,5,7,10],[8]] => 010101101 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,2,3,4,6,9],[5,7,10],[8]] => 000101101 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,2,3,4,5,6,9],[7,10],[8]] => 000001101 => ([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)

[[1,2,3,4,5,7],[6,9],[8]] => 00001010 => ([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25)

[[1,2,3,4,6],[5,7,8,9]] => 00010100 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,2,3,4,6],[5,7,9],[8]] => 00010110 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28)

[[1,2,3,4,6],[5,8],[7,9]] => 00010101 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,4,6],[5,8],[7],[9]] => 00010101 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,5],[4,6,7,9],[8]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,5],[4,6,8],[7,9]] => 00101101 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,2,3,5],[4,6,8],[7],[9]] => 00101101 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,2,3,5],[4,7],[6,9],[8]] => 00101010 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,2,3,5],[4,7],[6],[8],[9]] => 00101011 => ([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25)

[[1,2,4],[3,5,7],[6,8,9]] => 01011010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,4],[3,5,7],[6,9],[8]] => 01011010 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25)

[[1,2,4],[3,5,7],[6],[8],[9]] => 01011011 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,2,4],[3,6],[5,8],[7,9]] => 01010101 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,2,4],[3,6],[5,8],[7],[9]] => 01010101 => ([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16)

[[1,2,4],[3,6],[5],[7],[8],[9]] => 01010111 => ([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24)

[[1,2,3,4,5,6,8],[7,10],[9]] => 000001010 => ([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30)

[[1,2,3,4,5,7],[6,8,9,10]] => 000010100 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,2,3,4,5,7],[6,8,10],[9]] => 000010110 => ([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34)

[[1,2,3,4,5,7],[6,9],[8,10]] => 000010101 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2,3,4,5,7],[6,9],[8],[10]] => 000010101 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,2,3,4,6],[5,7,8,10],[9]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4,6],[5,7,9],[8,10]] => 000101101 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,2,3,4,6],[5,7,9],[8],[10]] => 000101101 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,2,3,4,6],[5,8],[7,10],[9]] => 000101010 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

[[1,2,3,4,6],[5,8],[7],[9],[10]] => 000101011 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,3,5],[4,6,7,9],[8,10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,5],[4,6,7,9],[8],[10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,5],[4,6,8],[7,9,10]] => 001011010 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,2,3,5],[4,6,8],[7,10],[9]] => 001011010 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,2,3,5],[4,6,8],[7],[9],[10]] => 001011011 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,2,3,5],[4,7],[6,9],[8],[10]] => 001010101 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,3,5],[4,7],[6],[8],[9],[10]] => 001010111 => ([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32)

[[1,2,4],[3,5,7],[6,8,10],[9]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,2,4],[3,5,7],[6,9],[8,10]] => 010110101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4],[3,5,7],[6,9],[8],[10]] => 010110101 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,2,4],[3,5,7],[6],[8],[9],[10]] => 010110111 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,2,4],[3,6],[5,8],[7],[9],[10]] => 010101011 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,2,4],[3,6],[5],[7],[8],[9],[10]] => 010101111 => ([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30)

[[1,4,5,6],[2,8,9],[3],[7]] => 11000100 => ([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27)

[[1,4,5],[2,7,8],[3,10],[6],[9]] => 110010010 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,2,4,5,6,7],[3,8,9]] => 01000010 => ([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25)

[[1,2,4,5,6,7,8],[3,9,10]] => 010000010 => ([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30)

[[1,3,8],[2,5],[4,7],[6,10],[9]] => 101010010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,4,7],[2,6],[3,9],[5],[8]] => 11010010 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,6,7],[2,9],[3],[4],[5],[8]] => 11110010 => ([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27)

[[1,3,6,7],[2,5,10],[4,9],[8]] => 101000100 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,5,6,7],[2,9,10],[3],[4],[8]] => 111000100 => ([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)

[[1,5,8],[2,7],[3,10],[4],[6],[9]] => 111010010 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,7,8],[2,10],[3],[4],[5],[6],[9]] => 111110010 => ([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32)

[[1,5,7,8],[2,6,9,10],[3],[4]] => 111010010 => ([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34)

[[1,5,6,9],[2,7,8,10],[3],[4]] => 111001001 => ([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32)

[[1,5,6,8],[2,7,9,10],[3],[4]] => 111001010 => ([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34)

[[1,5,6,7],[2,8,9,10],[3],[4]] => 111000100 => ([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34)

[[1,4,7,9],[2,6,8,10],[3],[5]] => 110100101 => ([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33)

[[1,4,7,8],[2,6,9,10],[3],[5]] => 110100010 => ([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)

[[1,4,6,9],[2,7,8,10],[3],[5]] => 110101001 => ([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32)

[[1,4,6,7],[2,8,9,10],[3],[5]] => 110100100 => ([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32)

[[1,4,5,9],[2,7,8,10],[3],[6]] => 110010001 => ([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33)

[[1,4,5,8],[2,7,9,10],[3],[6]] => 110010010 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,4,5,7],[2,8,9,10],[3],[6]] => 110010100 => ([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33)

[[1,3,7,9],[2,5,8,10],[4],[6]] => 101010101 => ([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18)

[[1,3,7,8],[2,5,9,10],[4],[6]] => 101010010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,3,6,9],[2,5,8,10],[4],[7]] => 101001001 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,6,8],[2,5,9,10],[4],[7]] => 101001010 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,6,7],[2,5,9,10],[4],[8]] => 101000100 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,3,7,9],[2,6,8,10],[4],[5]] => 101100101 => ([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)

[[1,3,7,8],[2,6,9,10],[4],[5]] => 101100010 => ([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35)

[[1,3,6,9],[2,7,8,10],[4],[5]] => 101101001 => ([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34)

[[1,3,6,8],[2,7,9,10],[4],[5]] => 101101010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,3,5,9],[2,7,8,10],[4],[6]] => 101010001 => ([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31)

[[1,3,5,8],[2,7,9,10],[4],[6]] => 101010010 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30)

[[1,3,5,7],[2,8,9,10],[4],[6]] => 101010100 => ([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24)

[[1,3,5,6],[2,8,9,10],[4],[7]] => 101001000 => ([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31)

[[1,3,4,9],[2,6,7,10],[5],[8]] => 100100101 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,3,4,8],[2,6,7,10],[5],[9]] => 100100010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30)

[[1,3,4,9],[2,6,8,10],[5],[7]] => 100101001 => ([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30)

[[1,3,4,8],[2,6,9,10],[5],[7]] => 100101010 => ([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28)

[[1,3,4,7],[2,6,9,10],[5],[8]] => 100100100 => ([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24)

[[1,3,4,9],[2,7,8,10],[5],[6]] => 100110001 => ([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33)

[[1,3,4,8],[2,7,9,10],[5],[6]] => 100110010 => ([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32)

[[1,3,4,7],[2,8,9,10],[5],[6]] => 100110100 => ([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34)

[[1,3,4,6],[2,8,9,10],[5],[7]] => 100101000 => ([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32)

[[1,3,4,5],[2,7,8,10],[6],[9]] => 100010010 => ([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30)

[[1,3,4,5],[2,7,9,10],[6],[8]] => 100010100 => ([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32)

[[1,3,4,5],[2,8,9,10],[6],[7]] => 100011000 => ([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)

[[1,4,6,8,10],[2,7,9,11,12],[3],[5]] => 11010101010 => ([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30)

[[1,4,6,8,9],[2,7,10,11,12],[3],[5]] => 11010100100 => ([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46)

[[1,4,6,7,9],[2,8,10,11,12],[3],[5]] => 11010010100 => ([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45)

[[1,4,5,7,9],[2,8,10,11,12],[3],[6]] => 11001010100 => ([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45)

[[1,3,5,7,9],[2,8,10,11,12],[4],[6]] => 10101010100 => ([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30)

[[1,6,7,8,9],[2,10],[3],[4],[5]] => 111100001 => ([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33)

[[1,2,3],[4,7,8],[5],[6],[9]] => 00111001 => ([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27)

[[1,2,3],[4,8,9],[5],[6],[7],[10]] => 001111001 => ([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33)

[[1,4,5,6,7,8],[2,9],[3]] => 11000001 => ([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25)

[[1,2,3,5,6],[4,7,8,9]] => 00100100 => ([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21)

[[1,2,5,6,7],[3,4,8],[9]] => 01000011 => ([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27)

[[1,3,5,6,7],[2,8],[4,9]] => 10100011 => ([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28)

[[1,5,6,7,8],[2,9],[3],[4]] => 11100001 => ([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27)

[[1,2,3,6],[4,5,7,8],[9]] => 00100101 => ([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24)

[[1,3,6,7],[2,4,8],[5,9]] => 10110011 => ([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27)

[[1,2,3,6],[4,7,8],[5],[9]] => 00110101 => ([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27)

[[1,4,6,7],[2,8],[3,9],[5]] => 11010011 => ([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28)

[[1,6,7,8],[2,9],[3],[4],[5]] => 11110001 => ([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27)

[[1,3,7],[2,5],[4,8],[6,9]] => 10101011 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,5,7],[2,8],[3,9],[4],[6]] => 11101011 => ([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26)

[[1,7,8],[2,9],[3],[4],[5],[6]] => 11111001 => ([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25)

[[1,4],[2,6],[3,8],[5,9],[7]] => 11010101 => ([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21)

[[1,4,5,6,7,8,9],[2,10],[3]] => 110000001 => ([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29)

[[1,2,3,5,6,7],[4,8,9,10]] => 001000100 => ([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28)

[[1,2,5,6,7,8],[3,4,9],[10]] => 010000011 => ([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32)

[[1,3,5,6,7,8],[2,9],[4,10]] => 101000011 => ([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34)

[[1,5,6,7,8,9],[2,10],[3],[4]] => 111000001 => ([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32)

[[1,2,3,6,7],[4,5,8,9],[10]] => 001000101 => ([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31)

[[1,3,6,7,8],[2,4,9],[5,10]] => 101100011 => ([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34)

[[1,2,3,6,7],[4,8,9],[5],[10]] => 001100101 => ([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34)

[[1,4,6,7,8],[2,9],[3,10],[5]] => 110100011 => ([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35)

[[1,3,4,7],[2,5,6,8],[9,10]] => 100100110 => ([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32)

[[1,2,3,4],[5,7,8,9],[6],[10]] => 000110001 => ([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32)

[[1,2,4,7],[3,5,8],[6,9,10]] => 010110110 => ([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28)

[[1,4,7,8],[2,5,9],[3,6],[10]] => 110110011 => ([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33)

[[1,2,3,7],[4,8,9],[5],[6],[10]] => 001110101 => ([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34)

[[1,3,7,8],[2,5],[4,9],[6,10]] => 101010011 => ([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32)

[[1,5,7,8],[2,9],[3,10],[4],[6]] => 111010011 => ([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35)

[[1,7,8,9],[2,10],[3],[4],[5],[6]] => 111110001 => ([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32)

[[1,2,5],[3,4,8],[6,7,9],[10]] => 010010011 => ([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29)

[[1,3,8],[2,5,9],[4,6],[7,10]] => 101011011 => ([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30)

[[1,4,8],[2,6],[3,9],[5,10],[7]] => 110101011 => ([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28)

[[1,6,8],[2,9],[3,10],[4],[5],[7]] => 111101011 => ([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32)

[[1,8,9],[2,10],[3],[4],[5],[6],[7]] => 111111001 => ([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29)

[[1,5],[2,7],[3,9],[4,10],[6],[8]] => 111010101 => ([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28)

Map

descent word

Description

The descent word of a standard Young tableau.
For a standard Young tableau of size $n$ we set $w_i=1$ if $i+1$ is in a lower row than $i$, and $0$ otherwise, for $1\leq i < n$.

Map

poset of factors

Description

The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.