Identifier
Values
[[1,2]] => ([(0,1)],2) => ([],2) => 2
[[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1],[2]] => ([],1) => ([],1) => 1
[[1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1],[3]] => ([(0,1)],2) => ([],2) => 2
[[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[2]] => ([],1) => ([],1) => 1
[[1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[3,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[2,2,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[2,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,3],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1],[2],[3]] => ([],1) => ([],1) => 1
[[1,1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1],[2]] => ([],1) => ([],1) => 1
[[1,1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,2,2],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,2]] => ([],1) => ([],1) => 1
[[1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[2,5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[3,5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[4,5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[5,5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[3],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,3,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2,2,4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[2,3,4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[2,4,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[3,3,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[3,4,4]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[4,4,4]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[2,2],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[2,3],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[2,4],[3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[2,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[3,3],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1],[2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2,2,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2,2,2,3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[2,2,3,3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[2,3,3,3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[3,3,3,3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,1],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,3],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,3,3],[3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[2,2,3],[3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[2,3,3],[3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1],[2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
>>> Load all 1479 entries. <<<[[2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1],[2],[3]] => ([],1) => ([],1) => 1
[[1,2],[2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,3],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,1,1],[2]] => ([],1) => ([],1) => 1
[[1,1,1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2,2],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1],[2,2]] => ([],1) => ([],1) => 1
[[1,1,2],[2,2]] => ([(0,1)],2) => ([],2) => 2
[[1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[2,6]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[3,6]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[4,6]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[5,6]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[6,6]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[2],[6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[3],[6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[4],[6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[5],[6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,3,5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,4,5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,5,5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2,2,5]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,3,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2,4,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2,5,5]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3,3,5]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[3,4,5]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[3,5,5]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[4,4,5]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[4,5,5]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[5,5,5]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,3],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,5],[3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,5],[4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,5],[5]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[2,2],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[2,3],[5]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[2,5],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[2,4],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[2,5],[4]] => ([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18) => ([(2,15),(2,16),(2,17),(3,15),(3,16),(3,17),(4,6),(4,12),(4,13),(5,11),(5,12),(5,13),(5,14),(6,11),(6,12),(6,14),(7,10),(7,14),(7,15),(7,16),(7,17),(8,9),(8,14),(8,15),(8,16),(8,17),(9,10),(9,15),(9,16),(9,17),(10,11),(10,12),(10,13),(10,14),(11,13),(11,15),(11,16),(11,17),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,17),(14,15),(14,16),(14,17)],18) => 8
[[2,5],[5]] => ([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20) => ([(2,15),(3,17),(3,18),(3,19),(4,17),(4,18),(4,19),(5,10),(5,13),(5,14),(5,15),(6,7),(6,16),(6,17),(6,18),(6,19),(7,12),(7,17),(7,18),(7,19),(8,12),(8,16),(8,17),(8,18),(8,19),(9,11),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,15),(10,16),(11,12),(11,14),(11,17),(11,18),(11,19),(12,13),(12,14),(12,15),(12,16),(13,17),(13,18),(13,19),(14,16),(14,17),(14,18),(14,19),(15,17),(15,18),(15,19),(16,17),(16,18),(16,19)],20) => 9
[[3,3],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[3,4],[5]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[3,5],[4]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[3,5],[5]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29) => ([(2,5),(2,24),(3,4),(3,5),(3,15),(3,19),(3,20),(3,23),(3,24),(4,21),(4,22),(4,24),(4,25),(4,26),(4,27),(4,28),(5,21),(5,22),(5,25),(5,26),(5,27),(5,28),(6,8),(6,14),(6,17),(6,21),(6,22),(6,25),(6,26),(6,27),(6,28),(7,8),(7,14),(7,17),(7,21),(7,22),(7,25),(7,26),(7,27),(7,28),(8,11),(8,12),(8,13),(8,18),(8,19),(8,20),(8,23),(8,24),(9,18),(9,19),(9,20),(9,21),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(9,28),(10,15),(10,19),(10,20),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(11,12),(11,14),(11,17),(11,21),(11,22),(11,23),(11,25),(11,26),(11,27),(11,28),(12,14),(12,16),(12,17),(12,21),(12,22),(12,25),(12,26),(12,27),(12,28),(13,14),(13,16),(13,17),(13,21),(13,22),(13,23),(13,25),(13,26),(13,27),(13,28),(14,18),(14,19),(14,20),(14,23),(14,24),(14,27),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(16,18),(16,19),(16,20),(16,21),(16,22),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(17,18),(17,19),(17,20),(17,23),(17,24),(17,26),(17,27),(17,28),(18,19),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(19,21),(19,22),(19,25),(19,26),(19,27),(19,28),(20,21),(20,22),(20,25),(20,26),(20,27),(20,28),(21,23),(21,24),(22,23),(22,24),(23,25),(23,26),(23,27),(23,28),(24,25),(24,26),(24,27),(24,28),(25,28)],29) => 10
[[4,4],[5]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[4,5],[5]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[1],[2],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[2],[3],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[2],[4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[3],[4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,3,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2,4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,3,4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,4,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,3,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,4,4]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,4,4,4]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[2,2,2,4]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,2,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2,2,4,4]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[2,3,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2,3,4,4]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[2,4,4,4]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[3,3,3,4]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3,3,4,4]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[3,4,4,4]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[4,4,4,4]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,2,2],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,4],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,3],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,4],[3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,3,4],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,4,4],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,3,3],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,3,4],[3]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,4,4],[3]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,4,4],[4]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[2,2,2],[4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[2,2,3],[4]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[2,2,4],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,4),(2,13),(3,11),(3,12),(3,13),(4,11),(4,12),(5,8),(5,9),(5,10),(5,13),(6,8),(6,9),(6,10),(6,13),(7,8),(7,9),(7,10),(7,12),(7,13),(8,11),(8,12),(9,11),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => 7
[[2,2,4],[4]] => ([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17) => ([(2,4),(2,15),(3,9),(3,15),(3,16),(4,9),(4,16),(5,11),(5,12),(5,13),(5,16),(6,11),(6,12),(6,13),(6,16),(7,10),(7,14),(7,15),(7,16),(8,11),(8,12),(8,13),(8,14),(8,16),(9,10),(9,14),(9,15),(10,11),(10,12),(10,13),(10,16),(11,14),(11,15),(12,14),(12,15),(13,14),(13,15),(14,16),(15,16)],17) => 8
[[2,3,3],[4]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[2,3,4],[3]] => ([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23) => ([(2,16),(2,17),(2,18),(2,22),(3,15),(3,16),(3,17),(3,18),(3,22),(4,5),(4,8),(4,10),(4,13),(4,14),(4,20),(4,21),(5,9),(5,10),(5,12),(5,14),(5,15),(5,19),(5,20),(6,8),(6,9),(6,10),(6,12),(6,13),(6,14),(6,15),(6,19),(6,20),(6,21),(7,9),(7,10),(7,12),(7,13),(7,14),(7,15),(7,19),(7,20),(7,21),(7,22),(8,9),(8,10),(8,12),(8,14),(8,15),(8,19),(8,20),(8,22),(9,11),(9,13),(9,16),(9,17),(9,18),(9,21),(9,22),(10,11),(10,16),(10,17),(10,18),(10,21),(10,22),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,22),(12,13),(12,16),(12,17),(12,18),(12,20),(12,21),(12,22),(13,15),(13,16),(13,17),(13,18),(13,19),(13,22),(14,16),(14,17),(14,18),(14,19),(14,21),(14,22),(15,16),(15,17),(15,18),(15,21),(15,22),(16,19),(16,20),(16,21),(17,19),(17,20),(17,21),(18,19),(18,20),(18,21),(19,20),(19,21),(19,22),(20,21),(20,22),(21,22)],23) => 8
[[2,3,4],[4]] => ([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28) => ([(2,12),(2,13),(2,18),(2,22),(2,26),(2,27),(3,12),(3,13),(3,18),(3,21),(3,22),(3,26),(3,27),(4,6),(4,9),(4,11),(4,17),(4,20),(4,24),(4,25),(5,12),(5,13),(5,16),(5,18),(5,21),(5,22),(5,23),(5,26),(5,27),(6,11),(6,14),(6,15),(6,16),(6,17),(6,19),(6,21),(6,23),(6,25),(7,9),(7,11),(7,14),(7,15),(7,16),(7,17),(7,19),(7,20),(7,21),(7,23),(7,24),(7,25),(8,11),(8,14),(8,15),(8,16),(8,17),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,27),(9,11),(9,14),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(9,25),(9,27),(10,11),(10,14),(10,15),(10,16),(10,17),(10,19),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,12),(11,13),(11,18),(11,20),(11,22),(11,26),(11,27),(12,14),(12,15),(12,16),(12,17),(12,19),(12,21),(12,23),(12,24),(12,25),(13,14),(13,15),(13,16),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(14,18),(14,20),(14,22),(14,24),(14,25),(14,26),(14,27),(15,18),(15,20),(15,22),(15,23),(15,24),(15,26),(15,27),(16,18),(16,20),(16,22),(16,24),(16,26),(16,27),(17,18),(17,19),(17,20),(17,22),(17,26),(17,27),(18,19),(18,21),(18,23),(18,24),(18,25),(18,26),(19,20),(19,22),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,25),(20,26),(20,27),(21,22),(21,24),(21,26),(21,27),(22,23),(22,24),(22,25),(23,24),(23,25),(23,26),(23,27),(24,26),(24,27),(25,26),(25,27)],28) => 9
[[2,4,4],[3]] => ([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26) => ([(2,16),(2,23),(3,20),(3,21),(3,22),(3,25),(4,15),(4,20),(4,21),(4,22),(4,25),(5,6),(5,11),(5,12),(5,13),(5,14),(5,16),(5,17),(5,23),(5,24),(6,7),(6,10),(6,13),(6,14),(6,15),(6,16),(6,17),(6,19),(6,23),(7,8),(7,9),(7,11),(7,12),(7,18),(7,20),(7,21),(7,22),(7,24),(7,25),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(8,16),(8,17),(8,19),(8,23),(8,24),(9,10),(9,11),(9,13),(9,14),(9,15),(9,16),(9,17),(9,19),(9,23),(9,24),(9,25),(10,11),(10,12),(10,17),(10,18),(10,20),(10,21),(10,22),(10,24),(10,25),(11,15),(11,18),(11,19),(11,20),(11,21),(11,22),(11,25),(12,13),(12,14),(12,15),(12,16),(12,17),(12,19),(12,23),(12,25),(13,18),(13,19),(13,20),(13,21),(13,22),(13,24),(13,25),(14,18),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(16,18),(16,20),(16,21),(16,22),(16,24),(16,25),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(19,20),(19,21),(19,22),(19,23),(19,24),(19,25),(20,23),(20,24),(21,23),(21,24),(22,23),(22,24),(23,24),(23,25),(24,25)],26) => 9
[[2,4,4],[4]] => ([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28) => ([(2,19),(3,14),(3,19),(3,21),(4,23),(4,24),(4,25),(4,27),(5,13),(5,23),(5,24),(5,25),(5,27),(6,8),(6,10),(6,11),(6,12),(6,14),(6,17),(6,18),(6,19),(6,21),(6,26),(7,8),(7,12),(7,15),(7,16),(7,18),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(8,9),(8,10),(8,11),(8,13),(8,14),(8,17),(8,19),(8,20),(8,21),(9,12),(9,15),(9,16),(9,17),(9,18),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(10,15),(10,16),(10,18),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,15),(11,16),(11,18),(11,20),(11,22),(11,23),(11,24),(11,25),(11,26),(11,27),(12,13),(12,15),(12,16),(12,20),(12,22),(12,23),(12,24),(12,25),(12,27),(13,15),(13,16),(13,18),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(14,15),(14,16),(14,18),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,17),(15,18),(15,19),(15,20),(15,21),(15,26),(16,17),(16,19),(16,20),(16,21),(16,26),(16,27),(17,18),(17,20),(17,22),(17,23),(17,24),(17,25),(17,26),(17,27),(18,19),(18,20),(18,21),(18,27),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,24),(20,25),(20,26),(20,27),(21,22),(21,23),(21,24),(21,25),(21,26),(21,27),(22,23),(22,24),(22,25),(22,27),(23,26),(24,26),(25,26),(26,27)],28) => 10
[[3,3,3],[4]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[3,3,4],[4]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30) => ([(2,19),(3,17),(3,18),(3,22),(3,27),(3,28),(3,29),(4,17),(4,18),(4,21),(4,22),(4,27),(4,28),(4,29),(5,7),(5,10),(5,11),(5,16),(5,19),(5,24),(5,25),(5,26),(6,15),(6,17),(6,18),(6,21),(6,22),(6,23),(6,27),(6,28),(6,29),(7,11),(7,13),(7,14),(7,15),(7,16),(7,19),(7,20),(7,21),(7,23),(7,26),(8,10),(8,11),(8,13),(8,14),(8,15),(8,16),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,26),(9,11),(9,13),(9,14),(9,15),(9,16),(9,19),(9,20),(9,21),(9,23),(9,24),(9,25),(9,26),(9,29),(10,11),(10,13),(10,14),(10,15),(10,16),(10,19),(10,20),(10,21),(10,23),(10,26),(10,29),(11,12),(11,17),(11,18),(11,22),(11,25),(11,27),(11,28),(11,29),(12,13),(12,14),(12,15),(12,16),(12,19),(12,20),(12,21),(12,23),(12,24),(12,26),(12,27),(12,28),(12,29),(13,17),(13,18),(13,22),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(14,17),(14,18),(14,22),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(15,17),(15,18),(15,22),(15,24),(15,25),(15,27),(15,28),(15,29),(16,17),(16,18),(16,20),(16,22),(16,25),(16,27),(16,28),(16,29),(17,19),(17,20),(17,21),(17,23),(17,24),(17,26),(18,19),(18,20),(18,21),(18,23),(18,24),(18,26),(19,22),(19,25),(19,27),(19,28),(19,29),(20,22),(20,24),(20,25),(20,26),(20,27),(20,28),(20,29),(21,22),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,26),(22,28),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(24,27),(24,28),(24,29),(25,26),(25,27),(25,28),(25,29),(26,27),(26,28),(26,29)],30) => 10
[[3,4,4],[4]] => ([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45) => ([(2,7),(2,9),(2,11),(2,21),(2,25),(2,27),(2,29),(2,31),(2,33),(2,35),(2,37),(2,39),(2,41),(2,43),(3,6),(3,8),(3,10),(3,20),(3,24),(3,26),(3,28),(3,30),(3,32),(3,34),(3,36),(3,38),(3,40),(3,42),(4,6),(4,8),(4,10),(4,20),(4,24),(4,26),(4,28),(4,30),(4,32),(4,34),(4,35),(4,36),(4,38),(4,40),(4,42),(5,7),(5,9),(5,11),(5,21),(5,25),(5,27),(5,29),(5,31),(5,33),(5,34),(5,35),(5,37),(5,39),(5,41),(5,43),(6,12),(6,17),(6,22),(6,25),(6,27),(6,29),(6,31),(6,33),(6,35),(6,37),(6,39),(6,41),(6,43),(6,44),(7,13),(7,18),(7,23),(7,24),(7,26),(7,28),(7,30),(7,32),(7,34),(7,36),(7,38),(7,40),(7,42),(7,44),(8,12),(8,17),(8,22),(8,25),(8,27),(8,29),(8,31),(8,33),(8,35),(8,37),(8,38),(8,39),(8,41),(8,43),(8,44),(9,13),(9,18),(9,23),(9,24),(9,26),(9,28),(9,30),(9,32),(9,34),(9,36),(9,38),(9,39),(9,40),(9,42),(9,44),(10,12),(10,17),(10,22),(10,25),(10,27),(10,29),(10,31),(10,32),(10,33),(10,35),(10,37),(10,38),(10,39),(10,41),(10,42),(10,43),(10,44),(11,13),(11,18),(11,23),(11,24),(11,26),(11,28),(11,30),(11,32),(11,33),(11,34),(11,36),(11,38),(11,39),(11,40),(11,42),(11,43),(11,44),(12,15),(12,17),(12,19),(12,20),(12,21),(12,24),(12,25),(12,26),(12,28),(12,30),(12,31),(12,32),(12,34),(12,35),(12,36),(12,38),(12,40),(12,41),(12,42),(13,16),(13,18),(13,19),(13,20),(13,21),(13,24),(13,25),(13,27),(13,29),(13,30),(13,31),(13,33),(13,34),(13,35),(13,37),(13,39),(13,40),(13,41),(13,43),(14,19),(14,20),(14,21),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(14,35),(14,36),(14,37),(14,38),(14,39),(14,40),(14,41),(14,42),(14,43),(14,44),(15,20),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(15,32),(15,33),(15,34),(15,35),(15,36),(15,37),(15,38),(15,39),(15,40),(15,41),(15,42),(15,43),(15,44),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(16,40),(16,41),(16,42),(16,43),(16,44),(17,20),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(17,40),(17,41),(17,42),(17,43),(18,21),(18,24),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(18,40),(18,41),(18,42),(18,43),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(19,40),(19,41),(19,42),(19,43),(19,44),(20,22),(20,23),(20,25),(20,26),(20,27),(20,28),(20,29),(20,31),(20,32),(20,33),(20,35),(20,36),(20,37),(20,38),(20,39),(20,41),(20,42),(20,43),(20,44),(21,22),(21,23),(21,24),(21,26),(21,27),(21,28),(21,29),(21,30),(21,32),(21,33),(21,34),(21,36),(21,37),(21,38),(21,39),(21,40),(21,42),(21,43),(21,44),(22,24),(22,25),(22,26),(22,27),(22,28),(22,29),(22,30),(22,31),(22,32),(22,33),(22,34),(22,35),(22,36),(22,37),(22,38),(22,39),(22,40),(22,41),(22,42),(22,43),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(23,30),(23,31),(23,32),(23,33),(23,34),(23,35),(23,36),(23,37),(23,38),(23,39),(23,40),(23,41),(23,42),(23,43),(24,25),(24,27),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(24,41),(24,43),(24,44),(25,26),(25,28),(25,30),(25,32),(25,34),(25,36),(25,38),(25,40),(25,42),(25,44),(26,27),(26,29),(26,31),(26,33),(26,35),(26,37),(26,39),(26,41),(26,42),(26,43),(26,44),(27,28),(27,30),(27,32),(27,34),(27,36),(27,38),(27,40),(27,42),(27,43),(27,44),(28,29),(28,31),(28,33),(28,35),(28,37),(28,39),(28,40),(28,41),(28,43),(28,44),(29,30),(29,32),(29,34),(29,36),(29,38),(29,40),(29,41),(29,42),(29,44),(30,31),(30,33),(30,35),(30,36),(30,37),(30,39),(30,41),(30,43),(30,44),(31,32),(31,34),(31,36),(31,37),(31,38),(31,40),(31,42),(31,44),(32,33),(32,35),(32,37),(32,39),(32,41),(32,43),(32,44),(33,34),(33,36),(33,38),(33,40),(33,42),(33,44),(34,35),(34,37),(34,39),(34,41),(34,43),(34,44),(35,36),(35,38),(35,40),(35,42),(35,44),(36,37),(36,39),(36,40),(36,41),(36,43),(36,44),(37,38),(37,40),(37,41),(37,42),(37,44),(38,39),(38,41),(38,43),(38,44),(39,40),(39,42),(39,44),(40,41),(40,42),(40,43),(40,44),(41,42),(41,43),(41,44),(42,43),(42,44),(43,44)],45) => 11
[[1,1],[2,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,2],[3,4]] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => 5
[[1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2],[4,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,3],[3,4]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,3],[4,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[2,2],[3,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[2,2],[4,4]] => ([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13) => ([(3,4),(3,12),(4,11),(5,11),(5,12),(6,9),(6,10),(7,8),(7,10),(7,11),(8,9),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,3],[3,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[2,3],[4,4]] => ([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19) => ([(3,4),(3,9),(3,11),(3,18),(4,9),(4,10),(4,17),(5,6),(5,8),(5,13),(5,17),(6,8),(6,12),(6,18),(7,14),(7,15),(7,16),(7,17),(7,18),(8,14),(8,15),(8,16),(9,14),(9,15),(9,16),(10,11),(10,14),(10,15),(10,16),(10,18),(11,14),(11,15),(11,16),(11,17),(12,13),(12,14),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,18)],19) => 8
[[3,3],[4,4]] => ([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20) => ([(4,5),(4,10),(4,12),(4,19),(5,10),(5,11),(5,18),(6,7),(6,9),(6,14),(6,18),(7,9),(7,13),(7,19),(8,15),(8,16),(8,17),(8,18),(8,19),(9,15),(9,16),(9,17),(10,15),(10,16),(10,17),(11,12),(11,15),(11,16),(11,17),(11,19),(12,15),(12,16),(12,17),(12,18),(13,14),(13,15),(13,16),(13,17),(13,18),(14,15),(14,16),(14,17),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,19)],20) => 9
[[1,1],[2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(3,4)],5) => 4
[[1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,4],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[2,3],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[2,4],[3],[4]] => ([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15) => ([(2,5),(2,12),(2,13),(2,14),(3,4),(3,9),(3,10),(3,11),(4,12),(4,13),(4,14),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(6,12),(6,13),(6,14),(7,9),(7,10),(7,11),(7,12),(7,13),(7,14),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(9,12),(9,13),(9,14),(10,12),(10,13),(10,14),(11,12),(11,13),(11,14)],15) => 7
[[1],[2],[3],[4]] => ([],1) => ([],1) => 1
[[1,1,1,1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2,2,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2,2,3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2,3,3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,3,3,3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,3,3,3,3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2,2,2,2,3]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[2,2,2,3,3]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[2,2,3,3,3]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[2,3,3,3,3]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[3,3,3,3,3]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1,1],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,3,3],[3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,3],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,2,3],[3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,2,3,3],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,3,3],[3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,3,3,3],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,3,3,3],[3]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[2,2,2,3],[3]] => ([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12) => ([(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12) => 7
[[2,2,3,3],[3]] => ([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18) => ([(2,5),(2,17),(3,13),(3,14),(3,15),(3,16),(3,17),(4,8),(4,9),(4,10),(4,11),(4,17),(5,13),(5,14),(5,15),(5,16),(6,11),(6,13),(6,14),(6,15),(6,16),(6,17),(7,8),(7,9),(7,10),(7,11),(7,16),(7,17),(8,12),(8,13),(8,14),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,12),(10,13),(10,14),(10,15),(10,16),(11,12),(11,13),(11,14),(11,15),(11,16),(12,13),(12,14),(12,15),(12,16),(12,17),(13,17),(14,17),(15,17),(16,17)],18) => 8
[[2,3,3,3],[3]] => ([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24) => ([(2,15),(2,16),(2,17),(2,19),(2,23),(3,12),(3,13),(3,14),(3,18),(3,22),(4,8),(4,12),(4,13),(4,14),(4,18),(4,22),(4,23),(5,9),(5,15),(5,16),(5,17),(5,19),(5,22),(5,23),(6,7),(6,9),(6,11),(6,12),(6,13),(6,14),(6,18),(6,20),(6,22),(6,23),(7,8),(7,10),(7,15),(7,16),(7,17),(7,19),(7,21),(7,22),(7,23),(8,9),(8,11),(8,12),(8,13),(8,14),(8,18),(8,20),(8,22),(9,10),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(10,11),(10,12),(10,13),(10,14),(10,18),(10,19),(10,20),(10,22),(10,23),(11,15),(11,16),(11,17),(11,18),(11,19),(11,21),(11,22),(11,23),(12,15),(12,16),(12,17),(12,19),(12,20),(12,21),(12,23),(13,15),(13,16),(13,17),(13,19),(13,20),(13,21),(13,23),(14,15),(14,16),(14,17),(14,19),(14,20),(14,21),(14,23),(15,18),(15,20),(15,21),(15,22),(16,18),(16,20),(16,21),(16,22),(17,18),(17,20),(17,21),(17,22),(18,19),(18,20),(18,21),(18,23),(19,20),(19,21),(19,22),(20,21),(20,22),(20,23),(21,22),(21,23),(22,23)],24) => 9
[[1,1,1],[2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1],[3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,3],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2,3],[2,3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,2,3],[3,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[2,2,2],[3,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[2,2,3],[3,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,1],[2],[3]] => ([],1) => ([],1) => 1
[[1,1,2],[2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1],[2,2],[3]] => ([],1) => ([],1) => 1
[[1,1],[2,3],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1,1,1],[2]] => ([],1) => ([],1) => 1
[[1,1,1,1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1],[2,2]] => ([],1) => ([],1) => 1
[[1,1,1,2],[2,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[2,2,2]] => ([],1) => ([],1) => 1
[[1,7]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1],[7]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[2],[7]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[3],[7]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[4],[7]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[5],[7]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[6],[7]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,6]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,3,6]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,4,6]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,5,6]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,6,6]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2],[6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,6],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,3],[6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,4],[6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,5],[6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2,2],[6]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,3],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2,4],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2,5],[6]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3,3],[6]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[3,4],[6]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[3,5],[6]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[4,4],[6]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[4,5],[6]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[5,5],[6]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1],[2],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1],[3],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1],[4],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1],[5],[6]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2],[3],[6]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[2],[4],[6]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[2],[5],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[3],[4],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[3],[5],[6]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[4],[5],[6]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,3,5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,4,5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,5,5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,2,2,5]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,3,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,2,4,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,2,5,5]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,3,3,5]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,3,4,5]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,3,5,5]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,4,4,5]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,4,5,5]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,5,5,5]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,3],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,5],[3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,5],[4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,5],[5]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,2,2],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,5],[2]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,3],[5]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,5],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,3,5],[2]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,4],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,2,5],[4]] => ([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18) => ([(2,15),(2,16),(2,17),(3,15),(3,16),(3,17),(4,6),(4,12),(4,13),(5,11),(5,12),(5,13),(5,14),(6,11),(6,12),(6,14),(7,10),(7,14),(7,15),(7,16),(7,17),(8,9),(8,14),(8,15),(8,16),(8,17),(9,10),(9,15),(9,16),(9,17),(10,11),(10,12),(10,13),(10,14),(11,13),(11,15),(11,16),(11,17),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,17),(14,15),(14,16),(14,17)],18) => 8
[[1,4,5],[2]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,2,5],[5]] => ([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20) => ([(2,15),(3,17),(3,18),(3,19),(4,17),(4,18),(4,19),(5,10),(5,13),(5,14),(5,15),(6,7),(6,16),(6,17),(6,18),(6,19),(7,12),(7,17),(7,18),(7,19),(8,12),(8,16),(8,17),(8,18),(8,19),(9,11),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,15),(10,16),(11,12),(11,14),(11,17),(11,18),(11,19),(12,13),(12,14),(12,15),(12,16),(13,17),(13,18),(13,19),(14,16),(14,17),(14,18),(14,19),(15,17),(15,18),(15,19),(16,17),(16,18),(16,19)],20) => 9
[[1,5,5],[2]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,3,3],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,4],[5]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,3,5],[4]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,3,5],[5]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29) => ([(2,5),(2,24),(3,4),(3,5),(3,15),(3,19),(3,20),(3,23),(3,24),(4,21),(4,22),(4,24),(4,25),(4,26),(4,27),(4,28),(5,21),(5,22),(5,25),(5,26),(5,27),(5,28),(6,8),(6,14),(6,17),(6,21),(6,22),(6,25),(6,26),(6,27),(6,28),(7,8),(7,14),(7,17),(7,21),(7,22),(7,25),(7,26),(7,27),(7,28),(8,11),(8,12),(8,13),(8,18),(8,19),(8,20),(8,23),(8,24),(9,18),(9,19),(9,20),(9,21),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(9,28),(10,15),(10,19),(10,20),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(11,12),(11,14),(11,17),(11,21),(11,22),(11,23),(11,25),(11,26),(11,27),(11,28),(12,14),(12,16),(12,17),(12,21),(12,22),(12,25),(12,26),(12,27),(12,28),(13,14),(13,16),(13,17),(13,21),(13,22),(13,23),(13,25),(13,26),(13,27),(13,28),(14,18),(14,19),(14,20),(14,23),(14,24),(14,27),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(16,18),(16,19),(16,20),(16,21),(16,22),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(17,18),(17,19),(17,20),(17,23),(17,24),(17,26),(17,27),(17,28),(18,19),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(19,21),(19,22),(19,25),(19,26),(19,27),(19,28),(20,21),(20,22),(20,25),(20,26),(20,27),(20,28),(21,23),(21,24),(22,23),(22,24),(23,25),(23,26),(23,27),(23,28),(24,25),(24,26),(24,27),(24,28),(25,28)],29) => 10
[[1,4,4],[5]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,4,5],[5]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[2,2,2],[5]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,2,3],[5]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2,2,4],[5]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[2,3,3],[5]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2,3,4],[5]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[2,4,4],[5]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[3,3,3],[5]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3,3,4],[5]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[3,4,4],[5]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[4,4,4],[5]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1],[2,5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[3,5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1],[4,5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1],[5,5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2],[2,5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,3],[2,5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,4],[2,5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,3],[3,5]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,4],[3,5]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,4],[4,5]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[1,1],[2],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2],[2],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,2],[3],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,3],[2],[5]] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 5
[[1,5],[2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2],[4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,4],[2],[5]] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,5],[2],[4]] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(5,6)],7) => 6
[[1,3],[3],[5]] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => 6
[[1,3],[4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2,2],[3],[5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[2,2],[4],[5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[2,3],[4],[5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[3,3],[4],[5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1],[2],[3],[5]] => ([(0,1)],2) => ([],2) => 2
[[1],[2],[4],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1],[3],[4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[2],[3],[4],[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,3,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2,2,4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,2,3,4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,2,4,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,3,3,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,3,4,4]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,1,4,4,4]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,2,2,2,4]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,2,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,2,2,4,4]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,2,3,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,2,3,4,4]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,2,4,4,4]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,3,3,3,4]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,3,3,4,4]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,3,4,4,4]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,4,4,4,4]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1,1],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,2,2],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,4],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,3],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,4],[3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,3,4],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,1,4,4],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,3,3],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,3,4],[3]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,1,3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,4,4],[3]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,1,4,4],[4]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[1,2,2,2],[4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2,4],[2]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,2,3],[4]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,2,4],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,4),(2,13),(3,11),(3,12),(3,13),(4,11),(4,12),(5,8),(5,9),(5,10),(5,13),(6,8),(6,9),(6,10),(6,13),(7,8),(7,9),(7,10),(7,12),(7,13),(8,11),(8,12),(9,11),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => 7
[[1,2,3,4],[2]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,2,4],[4]] => ([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17) => ([(2,4),(2,15),(3,9),(3,15),(3,16),(4,9),(4,16),(5,11),(5,12),(5,13),(5,16),(6,11),(6,12),(6,13),(6,16),(7,10),(7,14),(7,15),(7,16),(8,11),(8,12),(8,13),(8,14),(8,16),(9,10),(9,14),(9,15),(10,11),(10,12),(10,13),(10,16),(11,14),(11,15),(12,14),(12,15),(13,14),(13,15),(14,16),(15,16)],17) => 8
[[1,2,4,4],[2]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,2,3,3],[4]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,2,3,4],[3]] => ([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23) => ([(2,16),(2,17),(2,18),(2,22),(3,15),(3,16),(3,17),(3,18),(3,22),(4,5),(4,8),(4,10),(4,13),(4,14),(4,20),(4,21),(5,9),(5,10),(5,12),(5,14),(5,15),(5,19),(5,20),(6,8),(6,9),(6,10),(6,12),(6,13),(6,14),(6,15),(6,19),(6,20),(6,21),(7,9),(7,10),(7,12),(7,13),(7,14),(7,15),(7,19),(7,20),(7,21),(7,22),(8,9),(8,10),(8,12),(8,14),(8,15),(8,19),(8,20),(8,22),(9,11),(9,13),(9,16),(9,17),(9,18),(9,21),(9,22),(10,11),(10,16),(10,17),(10,18),(10,21),(10,22),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,22),(12,13),(12,16),(12,17),(12,18),(12,20),(12,21),(12,22),(13,15),(13,16),(13,17),(13,18),(13,19),(13,22),(14,16),(14,17),(14,18),(14,19),(14,21),(14,22),(15,16),(15,17),(15,18),(15,21),(15,22),(16,19),(16,20),(16,21),(17,19),(17,20),(17,21),(18,19),(18,20),(18,21),(19,20),(19,21),(19,22),(20,21),(20,22),(21,22)],23) => 8
[[1,3,3,4],[2]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,2,3,4],[4]] => ([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28) => ([(2,12),(2,13),(2,18),(2,22),(2,26),(2,27),(3,12),(3,13),(3,18),(3,21),(3,22),(3,26),(3,27),(4,6),(4,9),(4,11),(4,17),(4,20),(4,24),(4,25),(5,12),(5,13),(5,16),(5,18),(5,21),(5,22),(5,23),(5,26),(5,27),(6,11),(6,14),(6,15),(6,16),(6,17),(6,19),(6,21),(6,23),(6,25),(7,9),(7,11),(7,14),(7,15),(7,16),(7,17),(7,19),(7,20),(7,21),(7,23),(7,24),(7,25),(8,11),(8,14),(8,15),(8,16),(8,17),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,27),(9,11),(9,14),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(9,25),(9,27),(10,11),(10,14),(10,15),(10,16),(10,17),(10,19),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,12),(11,13),(11,18),(11,20),(11,22),(11,26),(11,27),(12,14),(12,15),(12,16),(12,17),(12,19),(12,21),(12,23),(12,24),(12,25),(13,14),(13,15),(13,16),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(14,18),(14,20),(14,22),(14,24),(14,25),(14,26),(14,27),(15,18),(15,20),(15,22),(15,23),(15,24),(15,26),(15,27),(16,18),(16,20),(16,22),(16,24),(16,26),(16,27),(17,18),(17,19),(17,20),(17,22),(17,26),(17,27),(18,19),(18,21),(18,23),(18,24),(18,25),(18,26),(19,20),(19,22),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,25),(20,26),(20,27),(21,22),(21,24),(21,26),(21,27),(22,23),(22,24),(22,25),(23,24),(23,25),(23,26),(23,27),(24,26),(24,27),(25,26),(25,27)],28) => 9
[[1,2,4,4],[3]] => ([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26) => ([(2,16),(2,23),(3,20),(3,21),(3,22),(3,25),(4,15),(4,20),(4,21),(4,22),(4,25),(5,6),(5,11),(5,12),(5,13),(5,14),(5,16),(5,17),(5,23),(5,24),(6,7),(6,10),(6,13),(6,14),(6,15),(6,16),(6,17),(6,19),(6,23),(7,8),(7,9),(7,11),(7,12),(7,18),(7,20),(7,21),(7,22),(7,24),(7,25),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(8,16),(8,17),(8,19),(8,23),(8,24),(9,10),(9,11),(9,13),(9,14),(9,15),(9,16),(9,17),(9,19),(9,23),(9,24),(9,25),(10,11),(10,12),(10,17),(10,18),(10,20),(10,21),(10,22),(10,24),(10,25),(11,15),(11,18),(11,19),(11,20),(11,21),(11,22),(11,25),(12,13),(12,14),(12,15),(12,16),(12,17),(12,19),(12,23),(12,25),(13,18),(13,19),(13,20),(13,21),(13,22),(13,24),(13,25),(14,18),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(16,18),(16,20),(16,21),(16,22),(16,24),(16,25),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(19,20),(19,21),(19,22),(19,23),(19,24),(19,25),(20,23),(20,24),(21,23),(21,24),(22,23),(22,24),(23,24),(23,25),(24,25)],26) => 9
[[1,3,4,4],[2]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,2,4,4],[4]] => ([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28) => ([(2,19),(3,14),(3,19),(3,21),(4,23),(4,24),(4,25),(4,27),(5,13),(5,23),(5,24),(5,25),(5,27),(6,8),(6,10),(6,11),(6,12),(6,14),(6,17),(6,18),(6,19),(6,21),(6,26),(7,8),(7,12),(7,15),(7,16),(7,18),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(8,9),(8,10),(8,11),(8,13),(8,14),(8,17),(8,19),(8,20),(8,21),(9,12),(9,15),(9,16),(9,17),(9,18),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(10,15),(10,16),(10,18),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,15),(11,16),(11,18),(11,20),(11,22),(11,23),(11,24),(11,25),(11,26),(11,27),(12,13),(12,15),(12,16),(12,20),(12,22),(12,23),(12,24),(12,25),(12,27),(13,15),(13,16),(13,18),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(14,15),(14,16),(14,18),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,17),(15,18),(15,19),(15,20),(15,21),(15,26),(16,17),(16,19),(16,20),(16,21),(16,26),(16,27),(17,18),(17,20),(17,22),(17,23),(17,24),(17,25),(17,26),(17,27),(18,19),(18,20),(18,21),(18,27),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,24),(20,25),(20,26),(20,27),(21,22),(21,23),(21,24),(21,25),(21,26),(21,27),(22,23),(22,24),(22,25),(22,27),(23,26),(24,26),(25,26),(26,27)],28) => 10
[[1,4,4,4],[2]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,3,3,3],[4]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,3,3,4],[4]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30) => ([(2,19),(3,17),(3,18),(3,22),(3,27),(3,28),(3,29),(4,17),(4,18),(4,21),(4,22),(4,27),(4,28),(4,29),(5,7),(5,10),(5,11),(5,16),(5,19),(5,24),(5,25),(5,26),(6,15),(6,17),(6,18),(6,21),(6,22),(6,23),(6,27),(6,28),(6,29),(7,11),(7,13),(7,14),(7,15),(7,16),(7,19),(7,20),(7,21),(7,23),(7,26),(8,10),(8,11),(8,13),(8,14),(8,15),(8,16),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,26),(9,11),(9,13),(9,14),(9,15),(9,16),(9,19),(9,20),(9,21),(9,23),(9,24),(9,25),(9,26),(9,29),(10,11),(10,13),(10,14),(10,15),(10,16),(10,19),(10,20),(10,21),(10,23),(10,26),(10,29),(11,12),(11,17),(11,18),(11,22),(11,25),(11,27),(11,28),(11,29),(12,13),(12,14),(12,15),(12,16),(12,19),(12,20),(12,21),(12,23),(12,24),(12,26),(12,27),(12,28),(12,29),(13,17),(13,18),(13,22),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(14,17),(14,18),(14,22),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(15,17),(15,18),(15,22),(15,24),(15,25),(15,27),(15,28),(15,29),(16,17),(16,18),(16,20),(16,22),(16,25),(16,27),(16,28),(16,29),(17,19),(17,20),(17,21),(17,23),(17,24),(17,26),(18,19),(18,20),(18,21),(18,23),(18,24),(18,26),(19,22),(19,25),(19,27),(19,28),(19,29),(20,22),(20,24),(20,25),(20,26),(20,27),(20,28),(20,29),(21,22),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,26),(22,28),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(24,27),(24,28),(24,29),(25,26),(25,27),(25,28),(25,29),(26,27),(26,28),(26,29)],30) => 10
[[1,3,4,4],[4]] => ([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45) => ([(2,7),(2,9),(2,11),(2,21),(2,25),(2,27),(2,29),(2,31),(2,33),(2,35),(2,37),(2,39),(2,41),(2,43),(3,6),(3,8),(3,10),(3,20),(3,24),(3,26),(3,28),(3,30),(3,32),(3,34),(3,36),(3,38),(3,40),(3,42),(4,6),(4,8),(4,10),(4,20),(4,24),(4,26),(4,28),(4,30),(4,32),(4,34),(4,35),(4,36),(4,38),(4,40),(4,42),(5,7),(5,9),(5,11),(5,21),(5,25),(5,27),(5,29),(5,31),(5,33),(5,34),(5,35),(5,37),(5,39),(5,41),(5,43),(6,12),(6,17),(6,22),(6,25),(6,27),(6,29),(6,31),(6,33),(6,35),(6,37),(6,39),(6,41),(6,43),(6,44),(7,13),(7,18),(7,23),(7,24),(7,26),(7,28),(7,30),(7,32),(7,34),(7,36),(7,38),(7,40),(7,42),(7,44),(8,12),(8,17),(8,22),(8,25),(8,27),(8,29),(8,31),(8,33),(8,35),(8,37),(8,38),(8,39),(8,41),(8,43),(8,44),(9,13),(9,18),(9,23),(9,24),(9,26),(9,28),(9,30),(9,32),(9,34),(9,36),(9,38),(9,39),(9,40),(9,42),(9,44),(10,12),(10,17),(10,22),(10,25),(10,27),(10,29),(10,31),(10,32),(10,33),(10,35),(10,37),(10,38),(10,39),(10,41),(10,42),(10,43),(10,44),(11,13),(11,18),(11,23),(11,24),(11,26),(11,28),(11,30),(11,32),(11,33),(11,34),(11,36),(11,38),(11,39),(11,40),(11,42),(11,43),(11,44),(12,15),(12,17),(12,19),(12,20),(12,21),(12,24),(12,25),(12,26),(12,28),(12,30),(12,31),(12,32),(12,34),(12,35),(12,36),(12,38),(12,40),(12,41),(12,42),(13,16),(13,18),(13,19),(13,20),(13,21),(13,24),(13,25),(13,27),(13,29),(13,30),(13,31),(13,33),(13,34),(13,35),(13,37),(13,39),(13,40),(13,41),(13,43),(14,19),(14,20),(14,21),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(14,35),(14,36),(14,37),(14,38),(14,39),(14,40),(14,41),(14,42),(14,43),(14,44),(15,20),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(15,32),(15,33),(15,34),(15,35),(15,36),(15,37),(15,38),(15,39),(15,40),(15,41),(15,42),(15,43),(15,44),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(16,40),(16,41),(16,42),(16,43),(16,44),(17,20),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(17,40),(17,41),(17,42),(17,43),(18,21),(18,24),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(18,40),(18,41),(18,42),(18,43),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(19,40),(19,41),(19,42),(19,43),(19,44),(20,22),(20,23),(20,25),(20,26),(20,27),(20,28),(20,29),(20,31),(20,32),(20,33),(20,35),(20,36),(20,37),(20,38),(20,39),(20,41),(20,42),(20,43),(20,44),(21,22),(21,23),(21,24),(21,26),(21,27),(21,28),(21,29),(21,30),(21,32),(21,33),(21,34),(21,36),(21,37),(21,38),(21,39),(21,40),(21,42),(21,43),(21,44),(22,24),(22,25),(22,26),(22,27),(22,28),(22,29),(22,30),(22,31),(22,32),(22,33),(22,34),(22,35),(22,36),(22,37),(22,38),(22,39),(22,40),(22,41),(22,42),(22,43),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(23,30),(23,31),(23,32),(23,33),(23,34),(23,35),(23,36),(23,37),(23,38),(23,39),(23,40),(23,41),(23,42),(23,43),(24,25),(24,27),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(24,41),(24,43),(24,44),(25,26),(25,28),(25,30),(25,32),(25,34),(25,36),(25,38),(25,40),(25,42),(25,44),(26,27),(26,29),(26,31),(26,33),(26,35),(26,37),(26,39),(26,41),(26,42),(26,43),(26,44),(27,28),(27,30),(27,32),(27,34),(27,36),(27,38),(27,40),(27,42),(27,43),(27,44),(28,29),(28,31),(28,33),(28,35),(28,37),(28,39),(28,40),(28,41),(28,43),(28,44),(29,30),(29,32),(29,34),(29,36),(29,38),(29,40),(29,41),(29,42),(29,44),(30,31),(30,33),(30,35),(30,36),(30,37),(30,39),(30,41),(30,43),(30,44),(31,32),(31,34),(31,36),(31,37),(31,38),(31,40),(31,42),(31,44),(32,33),(32,35),(32,37),(32,39),(32,41),(32,43),(32,44),(33,34),(33,36),(33,38),(33,40),(33,42),(33,44),(34,35),(34,37),(34,39),(34,41),(34,43),(34,44),(35,36),(35,38),(35,40),(35,42),(35,44),(36,37),(36,39),(36,40),(36,41),(36,43),(36,44),(37,38),(37,40),(37,41),(37,42),(37,44),(38,39),(38,41),(38,43),(38,44),(39,40),(39,42),(39,44),(40,41),(40,42),(40,43),(40,44),(41,42),(41,43),(41,44),(42,43),(42,44),(43,44)],45) => 11
[[2,2,2,2],[4]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[2,2,2,3],[4]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[2,2,3,3],[4]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[2,3,3,3],[4]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[3,3,3,3],[4]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1],[2,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,4],[2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2],[3,4]] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => 5
[[1,1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,4],[2,3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,2],[4,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,1,4],[2,4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,3],[3,4]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,4],[3,3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,3],[4,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,1,4],[3,4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,4],[4,4]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,2,2],[2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,2],[3,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,2,3],[2,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,4],[2,3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,2,2],[4,4]] => ([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13) => ([(3,4),(3,12),(4,11),(5,11),(5,12),(6,9),(6,10),(7,8),(7,10),(7,11),(8,9),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,4],[2,4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,2,3],[3,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,3,3],[2,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,3],[4,4]] => ([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19) => ([(3,4),(3,9),(3,11),(3,18),(4,9),(4,10),(4,17),(5,6),(5,8),(5,13),(5,17),(6,8),(6,12),(6,18),(7,14),(7,15),(7,16),(7,17),(7,18),(8,14),(8,15),(8,16),(9,14),(9,15),(9,16),(10,11),(10,14),(10,15),(10,16),(10,18),(11,14),(11,15),(11,16),(11,17),(12,13),(12,14),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,18)],19) => 8
[[1,3,4],[2,4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,3,3],[3,4]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,3,3],[4,4]] => ([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20) => ([(4,5),(4,10),(4,12),(4,19),(5,10),(5,11),(5,18),(6,7),(6,9),(6,14),(6,18),(7,9),(7,13),(7,19),(8,15),(8,16),(8,17),(8,18),(8,19),(9,15),(9,16),(9,17),(10,15),(10,16),(10,17),(11,12),(11,15),(11,16),(11,17),(11,19),(12,15),(12,16),(12,17),(12,18),(13,14),(13,15),(13,16),(13,17),(13,18),(14,15),(14,16),(14,17),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,19)],20) => 9
[[1,1,1],[2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(3,4)],5) => 4
[[1,1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,4],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,2,2],[2],[4]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,3],[2],[4]] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 5
[[1,2,4],[2],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,4],[2],[4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,3],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,3,3],[2],[4]] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3,4],[2],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,4],[3],[4]] => ([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15) => ([(2,5),(2,12),(2,13),(2,14),(3,4),(3,9),(3,10),(3,11),(4,12),(4,13),(4,14),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(6,12),(6,13),(6,14),(7,9),(7,10),(7,11),(7,12),(7,13),(7,14),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(9,12),(9,13),(9,14),(10,12),(10,13),(10,14),(11,12),(11,13),(11,14)],15) => 7
[[1,4,4],[2],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,4,4],[2],[4]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[2,2,2],[3],[4]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1],[2,2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[2,3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,4],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,4],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[3,4],[4]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,2],[2,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2],[2,4],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,2],[2,4],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2],[3,3],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,3],[2,4],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2],[3,4],[4]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,3],[2,4],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3],[3,4],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2,2],[3,3],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[2,2],[3,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[2,3],[3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1],[2],[3],[4]] => ([],1) => ([],1) => 1
[[1,2],[2],[3],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,3],[2],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,4],[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,2,2,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,2,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2,2,2,3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,2,2,3,3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,2,3,3,3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,3,3,3,3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,2,2,2,2,3]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,2,2,2,3,3]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,2,2,3,3,3]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,2,3,3,3,3]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,3,3,3,3,3]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1,1,1],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,3],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,3,3],[3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,2,3],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,2,3],[3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,2,3,3],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,3,3],[3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,3,3,3],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,3,3,3],[3]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,2,2,3],[2]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2,2,3],[3]] => ([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12) => ([(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12) => 7
[[1,2,2,3,3],[2]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,2,3,3],[3]] => ([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18) => ([(2,5),(2,17),(3,13),(3,14),(3,15),(3,16),(3,17),(4,8),(4,9),(4,10),(4,11),(4,17),(5,13),(5,14),(5,15),(5,16),(6,11),(6,13),(6,14),(6,15),(6,16),(6,17),(7,8),(7,9),(7,10),(7,11),(7,16),(7,17),(8,12),(8,13),(8,14),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,12),(10,13),(10,14),(10,15),(10,16),(11,12),(11,13),(11,14),(11,15),(11,16),(12,13),(12,14),(12,15),(12,16),(12,17),(13,17),(14,17),(15,17),(16,17)],18) => 8
[[1,2,3,3,3],[2]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,2,3,3,3],[3]] => ([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24) => ([(2,15),(2,16),(2,17),(2,19),(2,23),(3,12),(3,13),(3,14),(3,18),(3,22),(4,8),(4,12),(4,13),(4,14),(4,18),(4,22),(4,23),(5,9),(5,15),(5,16),(5,17),(5,19),(5,22),(5,23),(6,7),(6,9),(6,11),(6,12),(6,13),(6,14),(6,18),(6,20),(6,22),(6,23),(7,8),(7,10),(7,15),(7,16),(7,17),(7,19),(7,21),(7,22),(7,23),(8,9),(8,11),(8,12),(8,13),(8,14),(8,18),(8,20),(8,22),(9,10),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(10,11),(10,12),(10,13),(10,14),(10,18),(10,19),(10,20),(10,22),(10,23),(11,15),(11,16),(11,17),(11,18),(11,19),(11,21),(11,22),(11,23),(12,15),(12,16),(12,17),(12,19),(12,20),(12,21),(12,23),(13,15),(13,16),(13,17),(13,19),(13,20),(13,21),(13,23),(14,15),(14,16),(14,17),(14,19),(14,20),(14,21),(14,23),(15,18),(15,20),(15,21),(15,22),(16,18),(16,20),(16,21),(16,22),(17,18),(17,20),(17,21),(17,22),(18,19),(18,20),(18,21),(18,23),(19,20),(19,21),(19,22),(20,21),(20,22),(20,23),(21,22),(21,23),(22,23)],24) => 9
[[1,3,3,3,3],[2]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2,2,2,2,2],[3]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1,1],[2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1],[3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,3],[2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2,3],[2,3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,3,3],[2,2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2,3],[3,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,3,3],[2,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,2,2,2],[2,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,2],[3,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,2,2,3],[2,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,2,2,3],[3,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,2,3,3],[2,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,1,1],[2],[3]] => ([],1) => ([],1) => 1
[[1,1,1,2],[2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2,2,2],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2,3],[2],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,3,3],[2],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3,3,3],[2],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1],[2,2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1],[2,3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[3,3,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2],[2,2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[2,3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,2],[3,3,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,2],[2,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2,2],[3,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[2,2,2],[3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1],[2,2],[3]] => ([],1) => ([],1) => 1
[[1,1,1],[2,3],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2],[2,2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,3],[2,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,3],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,3],[2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1],[2,2],[3,3]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1,1,1,1],[2]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,2,2,2],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,1,1,1],[2,2]] => ([],1) => ([],1) => 1
[[1,1,1,1,2],[2,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,2,2],[2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1],[2,2,2]] => ([],1) => ([],1) => 1
[[1,1,1,2],[2,2,2]] => ([(0,1)],2) => ([],2) => 2
[[1],[8]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,7]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1],[7]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2],[7]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,7],[2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,3],[7]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,4],[7]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,5],[7]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,6],[7]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1],[2],[7]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1],[3],[7]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1],[4],[7]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1],[5],[7]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1],[6],[7]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2],[3],[7]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2],[4],[7]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2],[5],[7]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2],[6],[7]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3],[4],[7]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[3],[5],[7]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[3],[6],[7]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[4],[5],[7]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[4],[6],[7]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[5],[6],[7]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,2,6]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,1,3,6]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,1,4,6]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,1,5,6]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,6,6]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2],[6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,6],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,3],[6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,4],[6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,5],[6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,2,2],[6]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,6],[2]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,2,3],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,3,6],[2]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,2,4],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,4,6],[2]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,2,5],[6]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,5,6],[2]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,6,6],[2]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,3,3],[6]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,3,4],[6]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,3,5],[6]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,4,4],[6]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,4,5],[6]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,5,5],[6]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1],[2,6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1],[3,6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1],[4,6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1],[5,6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1],[6,6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,2],[2,6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,3],[2,6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,4],[2,6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,5],[2,6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1],[2],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[3],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1],[4],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1],[5],[6]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2],[2],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,2],[3],[6]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,3],[2],[6]] => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 6
[[1,6],[2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2],[4],[6]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2],[5],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3],[4],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3],[5],[6]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,4],[5],[6]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[2,2],[3],[6]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[2,2],[4],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[2,2],[5],[6]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[2,3],[4],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[2,3],[5],[6]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[2,4],[5],[6]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[3,3],[4],[6]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[3,3],[5],[6]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[3,4],[5],[6]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[4,4],[5],[6]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1],[2],[3],[6]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1],[2],[4],[6]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1],[2],[5],[6]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1],[3],[4],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1],[3],[5],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1],[4],[5],[6]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[2],[3],[4],[6]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[2],[3],[5],[6]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[2],[4],[5],[6]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[3],[4],[5],[6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,2,5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,1,3,5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,1,4,5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,1,5,5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,2,2,5]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,1,2,3,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,1,2,4,5]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,1,2,5,5]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,1,3,3,5]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,1,3,4,5]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,1,3,5,5]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,1,4,4,5]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,1,4,5,5]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,1,5,5,5]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,3],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,5],[3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,1,4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,5],[4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,5],[5]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1,2,2],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,2,5],[2]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,2,3],[5]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,2,5],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,1,3,5],[2]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,2,4],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,2,5],[4]] => ([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18) => ([(2,15),(2,16),(2,17),(3,15),(3,16),(3,17),(4,6),(4,12),(4,13),(5,11),(5,12),(5,13),(5,14),(6,11),(6,12),(6,14),(7,10),(7,14),(7,15),(7,16),(7,17),(8,9),(8,14),(8,15),(8,16),(8,17),(9,10),(9,15),(9,16),(9,17),(10,11),(10,12),(10,13),(10,14),(11,13),(11,15),(11,16),(11,17),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,17),(14,15),(14,16),(14,17)],18) => 8
[[1,1,4,5],[2]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,2,5],[5]] => ([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20) => ([(2,15),(3,17),(3,18),(3,19),(4,17),(4,18),(4,19),(5,10),(5,13),(5,14),(5,15),(6,7),(6,16),(6,17),(6,18),(6,19),(7,12),(7,17),(7,18),(7,19),(8,12),(8,16),(8,17),(8,18),(8,19),(9,11),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,15),(10,16),(11,12),(11,14),(11,17),(11,18),(11,19),(12,13),(12,14),(12,15),(12,16),(13,17),(13,18),(13,19),(14,16),(14,17),(14,18),(14,19),(15,17),(15,18),(15,19),(16,17),(16,18),(16,19)],20) => 9
[[1,1,5,5],[2]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,3,3],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,3,4],[5]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,1,3,5],[4]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,1,3,5],[5]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29) => ([(2,5),(2,24),(3,4),(3,5),(3,15),(3,19),(3,20),(3,23),(3,24),(4,21),(4,22),(4,24),(4,25),(4,26),(4,27),(4,28),(5,21),(5,22),(5,25),(5,26),(5,27),(5,28),(6,8),(6,14),(6,17),(6,21),(6,22),(6,25),(6,26),(6,27),(6,28),(7,8),(7,14),(7,17),(7,21),(7,22),(7,25),(7,26),(7,27),(7,28),(8,11),(8,12),(8,13),(8,18),(8,19),(8,20),(8,23),(8,24),(9,18),(9,19),(9,20),(9,21),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(9,28),(10,15),(10,19),(10,20),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(11,12),(11,14),(11,17),(11,21),(11,22),(11,23),(11,25),(11,26),(11,27),(11,28),(12,14),(12,16),(12,17),(12,21),(12,22),(12,25),(12,26),(12,27),(12,28),(13,14),(13,16),(13,17),(13,21),(13,22),(13,23),(13,25),(13,26),(13,27),(13,28),(14,18),(14,19),(14,20),(14,23),(14,24),(14,27),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(16,18),(16,19),(16,20),(16,21),(16,22),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(17,18),(17,19),(17,20),(17,23),(17,24),(17,26),(17,27),(17,28),(18,19),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(19,21),(19,22),(19,25),(19,26),(19,27),(19,28),(20,21),(20,22),(20,25),(20,26),(20,27),(20,28),(21,23),(21,24),(22,23),(22,24),(23,25),(23,26),(23,27),(23,28),(24,25),(24,26),(24,27),(24,28),(25,28)],29) => 10
[[1,1,4,4],[5]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,4,5],[5]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[1,2,2,2],[5]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,2,5],[2]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,2,3],[5]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,2,3,5],[2]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,2,2,4],[5]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,2,4,5],[2]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,2,5,5],[2]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,2,3,3],[5]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,3,3,5],[2]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,2,3,4],[5]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,3,4,5],[2]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,3,5,5],[2]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,2,4,4],[5]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,4,4,5],[2]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,4,5,5],[2]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,5,5,5],[2]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,3,3,3],[5]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,3,3,4],[5]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,3,4,4],[5]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,4,4,4],[5]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1],[2,5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1],[3,5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1],[4,5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1],[5,5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2],[2,5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,5],[2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,3],[2,5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,5],[2,3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,4],[2,5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,5],[2,4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,5],[2,5]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1,3],[3,5]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,1,4],[3,5]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,1,4],[4,5]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[1,2,2],[2,5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,3],[2,5]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,5],[2,3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,2,4],[2,5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,2,5],[2,4]] => ([(0,7),(0,8),(1,10),(1,16),(2,11),(3,10),(4,12),(4,13),(5,3),(6,2),(6,16),(7,9),(8,5),(9,1),(9,6),(10,14),(11,12),(11,15),(12,17),(13,17),(14,13),(14,15),(15,17),(16,4),(16,11),(16,14)],18) => ([(2,15),(2,16),(2,17),(3,15),(3,16),(3,17),(4,6),(4,12),(4,13),(5,11),(5,12),(5,13),(5,14),(6,11),(6,12),(6,14),(7,10),(7,14),(7,15),(7,16),(7,17),(8,9),(8,14),(8,15),(8,16),(8,17),(9,10),(9,15),(9,16),(9,17),(10,11),(10,12),(10,13),(10,14),(11,13),(11,15),(11,16),(11,17),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,17),(14,15),(14,16),(14,17)],18) => 8
[[1,2,5],[2,5]] => ([(0,8),(0,9),(1,15),(1,18),(2,13),(3,11),(3,17),(4,11),(5,12),(6,4),(7,5),(7,17),(8,10),(9,6),(10,3),(10,7),(11,14),(12,16),(12,18),(14,15),(14,16),(15,19),(16,19),(17,1),(17,12),(17,14),(18,2),(18,19),(19,13)],20) => ([(2,15),(3,17),(3,18),(3,19),(4,17),(4,18),(4,19),(5,10),(5,13),(5,14),(5,15),(6,7),(6,16),(6,17),(6,18),(6,19),(7,12),(7,17),(7,18),(7,19),(8,12),(8,16),(8,17),(8,18),(8,19),(9,11),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,15),(10,16),(11,12),(11,14),(11,17),(11,18),(11,19),(12,13),(12,14),(12,15),(12,16),(13,17),(13,18),(13,19),(14,16),(14,17),(14,18),(14,19),(15,17),(15,18),(15,19),(16,17),(16,18),(16,19)],20) => 9
[[1,3,3],[2,5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,4],[2,5]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,3,5],[2,4]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,3,5],[2,5]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29) => ([(2,5),(2,24),(3,4),(3,5),(3,15),(3,19),(3,20),(3,23),(3,24),(4,21),(4,22),(4,24),(4,25),(4,26),(4,27),(4,28),(5,21),(5,22),(5,25),(5,26),(5,27),(5,28),(6,8),(6,14),(6,17),(6,21),(6,22),(6,25),(6,26),(6,27),(6,28),(7,8),(7,14),(7,17),(7,21),(7,22),(7,25),(7,26),(7,27),(7,28),(8,11),(8,12),(8,13),(8,18),(8,19),(8,20),(8,23),(8,24),(9,18),(9,19),(9,20),(9,21),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(9,28),(10,15),(10,19),(10,20),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(11,12),(11,14),(11,17),(11,21),(11,22),(11,23),(11,25),(11,26),(11,27),(11,28),(12,14),(12,16),(12,17),(12,21),(12,22),(12,25),(12,26),(12,27),(12,28),(13,14),(13,16),(13,17),(13,21),(13,22),(13,23),(13,25),(13,26),(13,27),(13,28),(14,18),(14,19),(14,20),(14,23),(14,24),(14,27),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(16,18),(16,19),(16,20),(16,21),(16,22),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(17,18),(17,19),(17,20),(17,23),(17,24),(17,26),(17,27),(17,28),(18,19),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(19,21),(19,22),(19,25),(19,26),(19,27),(19,28),(20,21),(20,22),(20,25),(20,26),(20,27),(20,28),(21,23),(21,24),(22,23),(22,24),(23,25),(23,26),(23,27),(23,28),(24,25),(24,26),(24,27),(24,28),(25,28)],29) => 10
[[1,4,4],[2,5]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,4,5],[2,5]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[1,1,1],[2],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2],[2],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,2],[3],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,3],[2],[5]] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 5
[[1,1,5],[2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2],[4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,4],[2],[5]] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,5],[2],[4]] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(5,6)],7) => 6
[[1,1,3],[3],[5]] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => 6
[[1,1,3],[4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2],[2],[5]] => ([(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) => ([(2,5),(2,8),(3,4),(3,8),(4,7),(5,7),(6,7),(6,8),(7,8)],9) => 5
[[1,2,2],[3],[5]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,5],[2],[3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2],[4],[5]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,3,5],[2],[3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,3],[4],[5]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,4,5],[2],[3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,5,5],[2],[3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,3,3],[4],[5]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[2,2,2],[3],[5]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[2,2,2],[4],[5]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[2,2,3],[4],[5]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[2,3,3],[4],[5]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[3,3,3],[4],[5]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1],[2,2],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1],[2,5],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1],[2,4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1],[2,5],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1],[2,5],[5]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1],[3,3],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1],[3,4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1],[3,5],[4]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1],[3,5],[5]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,1],[4,4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1],[4,5],[5]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,2],[2,3],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2],[2,5],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2],[2,4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3],[2,5],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,3],[2,4],[5]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,4],[2,5],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,4],[2,5],[4]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,3],[3,4],[5]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1],[2],[3],[5]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[2],[4],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[3],[4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2],[2],[3],[5]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,2],[2],[4],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,3],[2],[3],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,2],[3],[4],[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,3],[2],[4],[5]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,4],[2],[3],[5]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,5],[2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,5],[2],[3],[5]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,4],[2],[4],[5]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,3],[3],[4],[5]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[2,2],[3],[4],[5]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1],[2],[3],[4],[5]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,3,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,2,2,4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,2,3,4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,1,2,4,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,1,3,3,4]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,1,3,4,4]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,1,1,4,4,4]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,2,2,2,4]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,1,2,2,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,1,2,2,4,4]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,1,2,3,3,4]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,1,2,3,4,4]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,1,2,4,4,4]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,1,3,3,3,4]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,1,3,3,4,4]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,1,3,4,4,4]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,1,4,4,4,4]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,1,1,1,1],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,1,2,2],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,2,4],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,2,3],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,2,4],[3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,3,4],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,2,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,1,1,4,4],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,3,3],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,3,4],[3]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,1,1,3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,4,4],[3]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,1,1,4,4],[4]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[1,1,2,2,2],[4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,2,2,4],[2]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,2,2,3],[4]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,2,2,4],[3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,4),(2,13),(3,11),(3,12),(3,13),(4,11),(4,12),(5,8),(5,9),(5,10),(5,13),(6,8),(6,9),(6,10),(6,13),(7,8),(7,9),(7,10),(7,12),(7,13),(8,11),(8,12),(9,11),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => 7
[[1,1,2,3,4],[2]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,2,2,4],[4]] => ([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17) => ([(2,4),(2,15),(3,9),(3,15),(3,16),(4,9),(4,16),(5,11),(5,12),(5,13),(5,16),(6,11),(6,12),(6,13),(6,16),(7,10),(7,14),(7,15),(7,16),(8,11),(8,12),(8,13),(8,14),(8,16),(9,10),(9,14),(9,15),(10,11),(10,12),(10,13),(10,16),(11,14),(11,15),(12,14),(12,15),(13,14),(13,15),(14,16),(15,16)],17) => 8
[[1,1,2,4,4],[2]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,2,3,3],[4]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,2,3,4],[3]] => ([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23) => ([(2,16),(2,17),(2,18),(2,22),(3,15),(3,16),(3,17),(3,18),(3,22),(4,5),(4,8),(4,10),(4,13),(4,14),(4,20),(4,21),(5,9),(5,10),(5,12),(5,14),(5,15),(5,19),(5,20),(6,8),(6,9),(6,10),(6,12),(6,13),(6,14),(6,15),(6,19),(6,20),(6,21),(7,9),(7,10),(7,12),(7,13),(7,14),(7,15),(7,19),(7,20),(7,21),(7,22),(8,9),(8,10),(8,12),(8,14),(8,15),(8,19),(8,20),(8,22),(9,11),(9,13),(9,16),(9,17),(9,18),(9,21),(9,22),(10,11),(10,16),(10,17),(10,18),(10,21),(10,22),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,22),(12,13),(12,16),(12,17),(12,18),(12,20),(12,21),(12,22),(13,15),(13,16),(13,17),(13,18),(13,19),(13,22),(14,16),(14,17),(14,18),(14,19),(14,21),(14,22),(15,16),(15,17),(15,18),(15,21),(15,22),(16,19),(16,20),(16,21),(17,19),(17,20),(17,21),(18,19),(18,20),(18,21),(19,20),(19,21),(19,22),(20,21),(20,22),(21,22)],23) => 8
[[1,1,3,3,4],[2]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,2,3,4],[4]] => ([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28) => ([(2,12),(2,13),(2,18),(2,22),(2,26),(2,27),(3,12),(3,13),(3,18),(3,21),(3,22),(3,26),(3,27),(4,6),(4,9),(4,11),(4,17),(4,20),(4,24),(4,25),(5,12),(5,13),(5,16),(5,18),(5,21),(5,22),(5,23),(5,26),(5,27),(6,11),(6,14),(6,15),(6,16),(6,17),(6,19),(6,21),(6,23),(6,25),(7,9),(7,11),(7,14),(7,15),(7,16),(7,17),(7,19),(7,20),(7,21),(7,23),(7,24),(7,25),(8,11),(8,14),(8,15),(8,16),(8,17),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,27),(9,11),(9,14),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(9,25),(9,27),(10,11),(10,14),(10,15),(10,16),(10,17),(10,19),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,12),(11,13),(11,18),(11,20),(11,22),(11,26),(11,27),(12,14),(12,15),(12,16),(12,17),(12,19),(12,21),(12,23),(12,24),(12,25),(13,14),(13,15),(13,16),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(14,18),(14,20),(14,22),(14,24),(14,25),(14,26),(14,27),(15,18),(15,20),(15,22),(15,23),(15,24),(15,26),(15,27),(16,18),(16,20),(16,22),(16,24),(16,26),(16,27),(17,18),(17,19),(17,20),(17,22),(17,26),(17,27),(18,19),(18,21),(18,23),(18,24),(18,25),(18,26),(19,20),(19,22),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,25),(20,26),(20,27),(21,22),(21,24),(21,26),(21,27),(22,23),(22,24),(22,25),(23,24),(23,25),(23,26),(23,27),(24,26),(24,27),(25,26),(25,27)],28) => 9
[[1,1,2,4,4],[3]] => ([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26) => ([(2,16),(2,23),(3,20),(3,21),(3,22),(3,25),(4,15),(4,20),(4,21),(4,22),(4,25),(5,6),(5,11),(5,12),(5,13),(5,14),(5,16),(5,17),(5,23),(5,24),(6,7),(6,10),(6,13),(6,14),(6,15),(6,16),(6,17),(6,19),(6,23),(7,8),(7,9),(7,11),(7,12),(7,18),(7,20),(7,21),(7,22),(7,24),(7,25),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(8,16),(8,17),(8,19),(8,23),(8,24),(9,10),(9,11),(9,13),(9,14),(9,15),(9,16),(9,17),(9,19),(9,23),(9,24),(9,25),(10,11),(10,12),(10,17),(10,18),(10,20),(10,21),(10,22),(10,24),(10,25),(11,15),(11,18),(11,19),(11,20),(11,21),(11,22),(11,25),(12,13),(12,14),(12,15),(12,16),(12,17),(12,19),(12,23),(12,25),(13,18),(13,19),(13,20),(13,21),(13,22),(13,24),(13,25),(14,18),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(16,18),(16,20),(16,21),(16,22),(16,24),(16,25),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(19,20),(19,21),(19,22),(19,23),(19,24),(19,25),(20,23),(20,24),(21,23),(21,24),(22,23),(22,24),(23,24),(23,25),(24,25)],26) => 9
[[1,1,3,4,4],[2]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,1,2,4,4],[4]] => ([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28) => ([(2,19),(3,14),(3,19),(3,21),(4,23),(4,24),(4,25),(4,27),(5,13),(5,23),(5,24),(5,25),(5,27),(6,8),(6,10),(6,11),(6,12),(6,14),(6,17),(6,18),(6,19),(6,21),(6,26),(7,8),(7,12),(7,15),(7,16),(7,18),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(8,9),(8,10),(8,11),(8,13),(8,14),(8,17),(8,19),(8,20),(8,21),(9,12),(9,15),(9,16),(9,17),(9,18),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(10,15),(10,16),(10,18),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,15),(11,16),(11,18),(11,20),(11,22),(11,23),(11,24),(11,25),(11,26),(11,27),(12,13),(12,15),(12,16),(12,20),(12,22),(12,23),(12,24),(12,25),(12,27),(13,15),(13,16),(13,18),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(14,15),(14,16),(14,18),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,17),(15,18),(15,19),(15,20),(15,21),(15,26),(16,17),(16,19),(16,20),(16,21),(16,26),(16,27),(17,18),(17,20),(17,22),(17,23),(17,24),(17,25),(17,26),(17,27),(18,19),(18,20),(18,21),(18,27),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,24),(20,25),(20,26),(20,27),(21,22),(21,23),(21,24),(21,25),(21,26),(21,27),(22,23),(22,24),(22,25),(22,27),(23,26),(24,26),(25,26),(26,27)],28) => 10
[[1,1,4,4,4],[2]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,3,3,3],[4]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,3,3,4],[4]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30) => ([(2,19),(3,17),(3,18),(3,22),(3,27),(3,28),(3,29),(4,17),(4,18),(4,21),(4,22),(4,27),(4,28),(4,29),(5,7),(5,10),(5,11),(5,16),(5,19),(5,24),(5,25),(5,26),(6,15),(6,17),(6,18),(6,21),(6,22),(6,23),(6,27),(6,28),(6,29),(7,11),(7,13),(7,14),(7,15),(7,16),(7,19),(7,20),(7,21),(7,23),(7,26),(8,10),(8,11),(8,13),(8,14),(8,15),(8,16),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,26),(9,11),(9,13),(9,14),(9,15),(9,16),(9,19),(9,20),(9,21),(9,23),(9,24),(9,25),(9,26),(9,29),(10,11),(10,13),(10,14),(10,15),(10,16),(10,19),(10,20),(10,21),(10,23),(10,26),(10,29),(11,12),(11,17),(11,18),(11,22),(11,25),(11,27),(11,28),(11,29),(12,13),(12,14),(12,15),(12,16),(12,19),(12,20),(12,21),(12,23),(12,24),(12,26),(12,27),(12,28),(12,29),(13,17),(13,18),(13,22),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(14,17),(14,18),(14,22),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(15,17),(15,18),(15,22),(15,24),(15,25),(15,27),(15,28),(15,29),(16,17),(16,18),(16,20),(16,22),(16,25),(16,27),(16,28),(16,29),(17,19),(17,20),(17,21),(17,23),(17,24),(17,26),(18,19),(18,20),(18,21),(18,23),(18,24),(18,26),(19,22),(19,25),(19,27),(19,28),(19,29),(20,22),(20,24),(20,25),(20,26),(20,27),(20,28),(20,29),(21,22),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,26),(22,28),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(24,27),(24,28),(24,29),(25,26),(25,27),(25,28),(25,29),(26,27),(26,28),(26,29)],30) => 10
[[1,1,3,4,4],[4]] => ([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45) => ([(2,7),(2,9),(2,11),(2,21),(2,25),(2,27),(2,29),(2,31),(2,33),(2,35),(2,37),(2,39),(2,41),(2,43),(3,6),(3,8),(3,10),(3,20),(3,24),(3,26),(3,28),(3,30),(3,32),(3,34),(3,36),(3,38),(3,40),(3,42),(4,6),(4,8),(4,10),(4,20),(4,24),(4,26),(4,28),(4,30),(4,32),(4,34),(4,35),(4,36),(4,38),(4,40),(4,42),(5,7),(5,9),(5,11),(5,21),(5,25),(5,27),(5,29),(5,31),(5,33),(5,34),(5,35),(5,37),(5,39),(5,41),(5,43),(6,12),(6,17),(6,22),(6,25),(6,27),(6,29),(6,31),(6,33),(6,35),(6,37),(6,39),(6,41),(6,43),(6,44),(7,13),(7,18),(7,23),(7,24),(7,26),(7,28),(7,30),(7,32),(7,34),(7,36),(7,38),(7,40),(7,42),(7,44),(8,12),(8,17),(8,22),(8,25),(8,27),(8,29),(8,31),(8,33),(8,35),(8,37),(8,38),(8,39),(8,41),(8,43),(8,44),(9,13),(9,18),(9,23),(9,24),(9,26),(9,28),(9,30),(9,32),(9,34),(9,36),(9,38),(9,39),(9,40),(9,42),(9,44),(10,12),(10,17),(10,22),(10,25),(10,27),(10,29),(10,31),(10,32),(10,33),(10,35),(10,37),(10,38),(10,39),(10,41),(10,42),(10,43),(10,44),(11,13),(11,18),(11,23),(11,24),(11,26),(11,28),(11,30),(11,32),(11,33),(11,34),(11,36),(11,38),(11,39),(11,40),(11,42),(11,43),(11,44),(12,15),(12,17),(12,19),(12,20),(12,21),(12,24),(12,25),(12,26),(12,28),(12,30),(12,31),(12,32),(12,34),(12,35),(12,36),(12,38),(12,40),(12,41),(12,42),(13,16),(13,18),(13,19),(13,20),(13,21),(13,24),(13,25),(13,27),(13,29),(13,30),(13,31),(13,33),(13,34),(13,35),(13,37),(13,39),(13,40),(13,41),(13,43),(14,19),(14,20),(14,21),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(14,35),(14,36),(14,37),(14,38),(14,39),(14,40),(14,41),(14,42),(14,43),(14,44),(15,20),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(15,32),(15,33),(15,34),(15,35),(15,36),(15,37),(15,38),(15,39),(15,40),(15,41),(15,42),(15,43),(15,44),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(16,40),(16,41),(16,42),(16,43),(16,44),(17,20),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(17,40),(17,41),(17,42),(17,43),(18,21),(18,24),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(18,40),(18,41),(18,42),(18,43),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(19,40),(19,41),(19,42),(19,43),(19,44),(20,22),(20,23),(20,25),(20,26),(20,27),(20,28),(20,29),(20,31),(20,32),(20,33),(20,35),(20,36),(20,37),(20,38),(20,39),(20,41),(20,42),(20,43),(20,44),(21,22),(21,23),(21,24),(21,26),(21,27),(21,28),(21,29),(21,30),(21,32),(21,33),(21,34),(21,36),(21,37),(21,38),(21,39),(21,40),(21,42),(21,43),(21,44),(22,24),(22,25),(22,26),(22,27),(22,28),(22,29),(22,30),(22,31),(22,32),(22,33),(22,34),(22,35),(22,36),(22,37),(22,38),(22,39),(22,40),(22,41),(22,42),(22,43),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(23,30),(23,31),(23,32),(23,33),(23,34),(23,35),(23,36),(23,37),(23,38),(23,39),(23,40),(23,41),(23,42),(23,43),(24,25),(24,27),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(24,41),(24,43),(24,44),(25,26),(25,28),(25,30),(25,32),(25,34),(25,36),(25,38),(25,40),(25,42),(25,44),(26,27),(26,29),(26,31),(26,33),(26,35),(26,37),(26,39),(26,41),(26,42),(26,43),(26,44),(27,28),(27,30),(27,32),(27,34),(27,36),(27,38),(27,40),(27,42),(27,43),(27,44),(28,29),(28,31),(28,33),(28,35),(28,37),(28,39),(28,40),(28,41),(28,43),(28,44),(29,30),(29,32),(29,34),(29,36),(29,38),(29,40),(29,41),(29,42),(29,44),(30,31),(30,33),(30,35),(30,36),(30,37),(30,39),(30,41),(30,43),(30,44),(31,32),(31,34),(31,36),(31,37),(31,38),(31,40),(31,42),(31,44),(32,33),(32,35),(32,37),(32,39),(32,41),(32,43),(32,44),(33,34),(33,36),(33,38),(33,40),(33,42),(33,44),(34,35),(34,37),(34,39),(34,41),(34,43),(34,44),(35,36),(35,38),(35,40),(35,42),(35,44),(36,37),(36,39),(36,40),(36,41),(36,43),(36,44),(37,38),(37,40),(37,41),(37,42),(37,44),(38,39),(38,41),(38,43),(38,44),(39,40),(39,42),(39,44),(40,41),(40,42),(40,43),(40,44),(41,42),(41,43),(41,44),(42,43),(42,44),(43,44)],45) => 11
[[1,2,2,2,2],[4]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,2,2,2,4],[2]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,2,2,3],[4]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,2,2,3,4],[2]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,2,2,4,4],[2]] => ([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(3,6),(3,19),(4,8),(4,20),(5,13),(5,19),(5,21),(6,13),(6,21),(7,12),(7,17),(7,18),(7,20),(7,21),(8,12),(8,17),(8,18),(8,21),(9,11),(9,15),(9,16),(9,19),(9,20),(9,21),(10,14),(10,15),(10,16),(10,17),(10,18),(10,20),(10,21),(11,13),(11,14),(11,16),(11,17),(11,18),(11,21),(12,14),(12,15),(12,16),(12,17),(12,20),(13,15),(13,16),(13,19),(13,20),(14,15),(14,18),(14,19),(14,20),(14,21),(15,17),(15,18),(15,21),(16,18),(16,19),(16,21),(17,19),(17,20),(18,19),(18,20),(19,21),(20,21)],22) => 9
[[1,2,2,3,3],[4]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,2,3,3,4],[2]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,2,3,4,4],[2]] => ([(0,1),(1,3),(1,4),(2,21),(3,6),(3,22),(4,5),(4,22),(5,20),(6,7),(6,23),(7,19),(8,13),(8,18),(9,14),(9,17),(10,26),(11,26),(12,27),(13,24),(14,2),(14,25),(15,13),(15,27),(16,12),(16,25),(17,8),(17,15),(17,25),(18,10),(18,24),(19,12),(19,15),(20,14),(20,16),(21,10),(21,11),(22,9),(22,20),(22,23),(23,16),(23,17),(23,19),(24,26),(25,18),(25,21),(25,27),(27,11),(27,24)],28) => ([(3,5),(3,22),(4,11),(4,22),(4,27),(5,11),(5,27),(6,7),(6,14),(6,18),(6,26),(7,14),(7,17),(7,24),(7,25),(8,14),(8,17),(8,18),(8,24),(8,25),(8,26),(9,13),(9,16),(9,19),(9,22),(9,26),(9,27),(10,20),(10,21),(10,23),(10,24),(10,25),(10,26),(10,27),(11,13),(11,16),(11,19),(11,22),(11,26),(12,15),(12,16),(12,19),(12,21),(12,22),(12,23),(12,26),(12,27),(13,15),(13,16),(13,21),(13,22),(13,23),(13,27),(14,20),(14,21),(14,23),(14,24),(14,27),(15,19),(15,20),(15,23),(15,24),(15,25),(15,26),(15,27),(16,20),(16,23),(16,24),(16,25),(16,27),(17,18),(17,20),(17,21),(17,23),(17,24),(17,26),(17,27),(18,20),(18,21),(18,23),(18,24),(18,25),(18,27),(19,20),(19,21),(19,23),(19,24),(19,25),(19,27),(20,21),(20,22),(20,25),(20,26),(21,24),(21,25),(21,26),(22,23),(22,24),(22,25),(22,27),(23,25),(23,26),(24,26),(25,26),(25,27),(26,27)],28) => 10
[[1,2,4,4,4],[2]] => ([(0,1),(1,4),(1,5),(2,23),(3,16),(4,7),(4,24),(5,6),(5,24),(6,22),(7,8),(7,25),(8,21),(9,13),(9,20),(10,15),(10,19),(11,28),(12,29),(13,26),(14,3),(14,28),(15,2),(15,27),(17,13),(17,29),(18,12),(18,27),(19,9),(19,17),(19,27),(20,14),(20,26),(21,12),(21,17),(22,15),(22,18),(23,11),(23,14),(24,10),(24,22),(24,25),(25,18),(25,19),(25,21),(26,28),(27,20),(27,23),(27,29),(28,16),(29,11),(29,26)],30) => ([(3,20),(4,6),(4,22),(5,12),(5,22),(5,29),(6,12),(6,29),(7,9),(7,15),(7,19),(7,20),(7,28),(8,14),(8,18),(8,21),(8,22),(8,28),(8,29),(9,15),(9,17),(9,20),(9,26),(9,27),(10,15),(10,17),(10,19),(10,20),(10,26),(10,27),(10,28),(11,23),(11,24),(11,25),(11,26),(11,27),(11,28),(11,29),(12,14),(12,18),(12,21),(12,22),(12,28),(13,16),(13,18),(13,21),(13,22),(13,24),(13,25),(13,28),(13,29),(14,16),(14,18),(14,22),(14,24),(14,25),(14,29),(15,23),(15,24),(15,25),(15,26),(15,29),(16,21),(16,23),(16,25),(16,26),(16,27),(16,28),(16,29),(17,19),(17,23),(17,24),(17,25),(17,26),(17,28),(17,29),(18,23),(18,25),(18,26),(18,27),(18,29),(19,23),(19,24),(19,25),(19,26),(19,27),(19,29),(20,23),(20,24),(20,25),(20,26),(20,29),(21,23),(21,24),(21,25),(21,26),(21,27),(21,29),(22,23),(22,25),(22,26),(22,27),(22,29),(23,24),(23,27),(23,28),(24,26),(24,27),(24,28),(25,27),(25,28),(26,28),(27,28),(27,29),(28,29)],30) => 11
[[1,2,3,3,3],[4]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,3,3,3,4],[2]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,3,3,4,4],[2]] => ([(0,1),(1,4),(1,5),(2,24),(3,21),(4,7),(4,25),(5,6),(5,25),(6,23),(7,8),(7,26),(8,22),(9,16),(9,20),(10,15),(10,19),(11,29),(12,29),(14,30),(15,2),(15,28),(16,3),(16,27),(17,16),(17,30),(18,14),(18,28),(19,9),(19,17),(19,28),(20,12),(20,27),(21,13),(22,14),(22,17),(23,15),(23,18),(24,11),(24,12),(25,10),(25,23),(25,26),(26,18),(26,19),(26,22),(27,21),(27,29),(28,20),(28,24),(28,30),(29,13),(30,11),(30,27)],31) => ([(3,6),(3,26),(4,8),(4,28),(5,12),(5,26),(5,29),(6,12),(6,29),(7,11),(7,19),(7,22),(7,28),(7,30),(8,11),(8,19),(8,22),(8,30),(9,15),(9,18),(9,21),(9,26),(9,29),(9,30),(10,17),(10,19),(10,22),(10,25),(10,27),(10,28),(10,30),(11,17),(11,19),(11,25),(11,27),(11,28),(12,15),(12,18),(12,21),(12,26),(12,30),(13,16),(13,18),(13,21),(13,23),(13,24),(13,26),(13,29),(13,30),(14,20),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(14,30),(15,16),(15,18),(15,23),(15,24),(15,26),(15,29),(16,20),(16,21),(16,23),(16,25),(16,27),(16,28),(16,29),(16,30),(17,20),(17,22),(17,23),(17,24),(17,25),(17,28),(17,29),(17,30),(18,20),(18,23),(18,25),(18,27),(18,28),(18,29),(19,20),(19,23),(19,24),(19,25),(19,28),(19,29),(20,21),(20,22),(20,24),(20,26),(20,27),(20,30),(21,23),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,25),(22,27),(22,28),(22,29),(23,26),(23,27),(23,30),(24,25),(24,27),(24,28),(24,30),(25,26),(25,30),(26,27),(26,28),(26,29),(27,29),(27,30),(28,30),(29,30)],31) => 11
[[1,3,4,4,4],[2]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,4,4,4,4],[2]] => ([(0,2),(2,6),(2,7),(3,25),(4,28),(5,24),(6,9),(6,29),(7,10),(7,29),(8,27),(9,8),(9,30),(10,26),(11,17),(11,23),(12,18),(12,22),(13,31),(14,34),(15,1),(16,5),(16,34),(17,3),(17,33),(18,4),(18,32),(19,15),(20,17),(20,31),(21,13),(21,32),(22,11),(22,20),(22,32),(23,16),(23,33),(24,15),(25,19),(26,18),(26,21),(27,13),(27,20),(28,14),(28,16),(29,12),(29,26),(29,30),(30,21),(30,22),(30,27),(31,14),(31,33),(32,23),(32,28),(32,31),(33,25),(33,34),(34,19),(34,24)],35) => ([(4,9),(4,27),(5,8),(5,26),(6,12),(6,26),(6,33),(7,13),(7,27),(7,34),(8,12),(8,33),(9,13),(9,34),(10,17),(10,21),(10,23),(10,26),(10,32),(10,33),(11,18),(11,22),(11,24),(11,27),(11,32),(11,34),(12,17),(12,21),(12,23),(12,26),(12,32),(13,18),(13,22),(13,24),(13,27),(13,32),(14,25),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(15,19),(15,21),(15,23),(15,26),(15,29),(15,30),(15,32),(15,33),(16,20),(16,22),(16,24),(16,27),(16,28),(16,31),(16,32),(16,34),(17,19),(17,21),(17,26),(17,29),(17,30),(17,33),(18,20),(18,22),(18,27),(18,28),(18,31),(18,34),(19,23),(19,25),(19,28),(19,30),(19,31),(19,32),(19,33),(19,34),(20,24),(20,25),(20,29),(20,30),(20,31),(20,32),(20,33),(20,34),(21,25),(21,28),(21,30),(21,31),(21,33),(21,34),(22,25),(22,29),(22,30),(22,31),(22,33),(22,34),(23,25),(23,28),(23,29),(23,30),(23,31),(23,33),(23,34),(24,25),(24,28),(24,29),(24,30),(24,31),(24,33),(24,34),(25,26),(25,27),(25,28),(25,29),(25,32),(26,28),(26,30),(26,31),(26,33),(26,34),(27,29),(27,30),(27,31),(27,33),(27,34),(28,29),(28,30),(28,32),(28,33),(29,31),(29,32),(29,34),(30,32),(31,32),(32,33),(32,34)],35) => 13
[[1,3,3,3,3],[4]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1,1],[2,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,4],[2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[3,4]] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => 5
[[1,1,1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,4],[2,3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,1,2],[4,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,1,1,4],[2,4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,1,3],[3,4]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,1,4],[3,3]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,1,3],[4,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,1,1,4],[3,4]] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,4],[4,4]] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1,2,2],[2,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,4],[2,2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,2],[3,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,1,2,3],[2,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,4],[2,3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,3,4],[2,2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,2],[4,4]] => ([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13) => ([(3,4),(3,12),(4,11),(5,11),(5,12),(6,9),(6,10),(7,8),(7,10),(7,11),(8,9),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,1,2,4],[2,4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,1,4,4],[2,2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2,3],[3,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,1,3,3],[2,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,3,4],[2,3]] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => 7
[[1,1,2,3],[4,4]] => ([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19) => ([(3,4),(3,9),(3,11),(3,18),(4,9),(4,10),(4,17),(5,6),(5,8),(5,13),(5,17),(6,8),(6,12),(6,18),(7,14),(7,15),(7,16),(7,17),(7,18),(8,14),(8,15),(8,16),(9,14),(9,15),(9,16),(10,11),(10,14),(10,15),(10,16),(10,18),(11,14),(11,15),(11,16),(11,17),(12,13),(12,14),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,18)],19) => 8
[[1,1,3,4],[2,4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,4,4],[2,3]] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) => ([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 8
[[1,1,4,4],[2,4]] => ([(0,8),(2,13),(3,11),(4,9),(5,10),(6,3),(6,10),(7,4),(7,12),(8,5),(8,6),(9,13),(10,7),(10,11),(11,12),(12,2),(12,9),(13,1)],14) => ([(4,11),(5,10),(6,12),(7,13),(8,9),(8,12),(9,13),(10,12),(11,13),(12,13)],14) => 9
[[1,1,3,3],[3,4]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1,3,3],[4,4]] => ([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20) => ([(4,5),(4,10),(4,12),(4,19),(5,10),(5,11),(5,18),(6,7),(6,9),(6,14),(6,18),(7,9),(7,13),(7,19),(8,15),(8,16),(8,17),(8,18),(8,19),(9,15),(9,16),(9,17),(10,15),(10,16),(10,17),(11,12),(11,15),(11,16),(11,17),(11,19),(12,15),(12,16),(12,17),(12,18),(13,14),(13,15),(13,16),(13,17),(13,18),(14,15),(14,16),(14,17),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,19)],20) => 9
[[1,2,2,2],[2,4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2,3],[2,4]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,2,4],[2,3]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,4),(2,13),(3,11),(3,12),(3,13),(4,11),(4,12),(5,8),(5,9),(5,10),(5,13),(6,8),(6,9),(6,10),(6,13),(7,8),(7,9),(7,10),(7,12),(7,13),(8,11),(8,12),(9,11),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => 7
[[1,2,2,4],[2,4]] => ([(0,7),(0,8),(1,16),(2,10),(2,16),(3,11),(4,12),(5,6),(6,4),(6,10),(7,9),(8,5),(9,1),(9,2),(10,12),(10,13),(11,15),(12,14),(13,11),(13,14),(14,15),(16,3),(16,13)],17) => ([(2,4),(2,15),(3,9),(3,15),(3,16),(4,9),(4,16),(5,11),(5,12),(5,13),(5,16),(6,11),(6,12),(6,13),(6,16),(7,10),(7,14),(7,15),(7,16),(8,11),(8,12),(8,13),(8,14),(8,16),(9,10),(9,14),(9,15),(10,11),(10,12),(10,13),(10,16),(11,14),(11,15),(12,14),(12,15),(13,14),(13,15),(14,16),(15,16)],17) => 8
[[1,2,3,3],[2,4]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,2,3,4],[2,3]] => ([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23) => ([(2,16),(2,17),(2,18),(2,22),(3,15),(3,16),(3,17),(3,18),(3,22),(4,5),(4,8),(4,10),(4,13),(4,14),(4,20),(4,21),(5,9),(5,10),(5,12),(5,14),(5,15),(5,19),(5,20),(6,8),(6,9),(6,10),(6,12),(6,13),(6,14),(6,15),(6,19),(6,20),(6,21),(7,9),(7,10),(7,12),(7,13),(7,14),(7,15),(7,19),(7,20),(7,21),(7,22),(8,9),(8,10),(8,12),(8,14),(8,15),(8,19),(8,20),(8,22),(9,11),(9,13),(9,16),(9,17),(9,18),(9,21),(9,22),(10,11),(10,16),(10,17),(10,18),(10,21),(10,22),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,22),(12,13),(12,16),(12,17),(12,18),(12,20),(12,21),(12,22),(13,15),(13,16),(13,17),(13,18),(13,19),(13,22),(14,16),(14,17),(14,18),(14,19),(14,21),(14,22),(15,16),(15,17),(15,18),(15,21),(15,22),(16,19),(16,20),(16,21),(17,19),(17,20),(17,21),(18,19),(18,20),(18,21),(19,20),(19,21),(19,22),(20,21),(20,22),(21,22)],23) => 8
[[1,2,3,4],[2,4]] => ([(0,2),(0,3),(1,8),(1,10),(2,1),(3,5),(3,7),(4,26),(5,22),(6,20),(7,12),(7,22),(8,21),(9,18),(9,19),(10,21),(10,25),(11,14),(11,15),(12,9),(12,24),(12,25),(13,27),(14,27),(15,27),(16,13),(17,14),(18,16),(19,17),(20,11),(20,17),(21,4),(21,23),(22,6),(22,24),(23,16),(23,26),(24,19),(24,20),(25,18),(25,23),(26,13),(26,15)],28) => ([(2,12),(2,13),(2,18),(2,22),(2,26),(2,27),(3,12),(3,13),(3,18),(3,21),(3,22),(3,26),(3,27),(4,6),(4,9),(4,11),(4,17),(4,20),(4,24),(4,25),(5,12),(5,13),(5,16),(5,18),(5,21),(5,22),(5,23),(5,26),(5,27),(6,11),(6,14),(6,15),(6,16),(6,17),(6,19),(6,21),(6,23),(6,25),(7,9),(7,11),(7,14),(7,15),(7,16),(7,17),(7,19),(7,20),(7,21),(7,23),(7,24),(7,25),(8,11),(8,14),(8,15),(8,16),(8,17),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,27),(9,11),(9,14),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(9,25),(9,27),(10,11),(10,14),(10,15),(10,16),(10,17),(10,19),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,12),(11,13),(11,18),(11,20),(11,22),(11,26),(11,27),(12,14),(12,15),(12,16),(12,17),(12,19),(12,21),(12,23),(12,24),(12,25),(13,14),(13,15),(13,16),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(14,18),(14,20),(14,22),(14,24),(14,25),(14,26),(14,27),(15,18),(15,20),(15,22),(15,23),(15,24),(15,26),(15,27),(16,18),(16,20),(16,22),(16,24),(16,26),(16,27),(17,18),(17,19),(17,20),(17,22),(17,26),(17,27),(18,19),(18,21),(18,23),(18,24),(18,25),(18,26),(19,20),(19,22),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,25),(20,26),(20,27),(21,22),(21,24),(21,26),(21,27),(22,23),(22,24),(22,25),(23,24),(23,25),(23,26),(23,27),(24,26),(24,27),(25,26),(25,27)],28) => 9
[[1,2,4,4],[2,3]] => ([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26) => ([(2,16),(2,23),(3,20),(3,21),(3,22),(3,25),(4,15),(4,20),(4,21),(4,22),(4,25),(5,6),(5,11),(5,12),(5,13),(5,14),(5,16),(5,17),(5,23),(5,24),(6,7),(6,10),(6,13),(6,14),(6,15),(6,16),(6,17),(6,19),(6,23),(7,8),(7,9),(7,11),(7,12),(7,18),(7,20),(7,21),(7,22),(7,24),(7,25),(8,10),(8,11),(8,12),(8,13),(8,14),(8,15),(8,16),(8,17),(8,19),(8,23),(8,24),(9,10),(9,11),(9,13),(9,14),(9,15),(9,16),(9,17),(9,19),(9,23),(9,24),(9,25),(10,11),(10,12),(10,17),(10,18),(10,20),(10,21),(10,22),(10,24),(10,25),(11,15),(11,18),(11,19),(11,20),(11,21),(11,22),(11,25),(12,13),(12,14),(12,15),(12,16),(12,17),(12,19),(12,23),(12,25),(13,18),(13,19),(13,20),(13,21),(13,22),(13,24),(13,25),(14,18),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,18),(15,20),(15,21),(15,22),(15,24),(15,25),(16,18),(16,20),(16,21),(16,22),(16,24),(16,25),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(19,20),(19,21),(19,22),(19,23),(19,24),(19,25),(20,23),(20,24),(21,23),(21,24),(22,23),(22,24),(23,24),(23,25),(24,25)],26) => 9
[[1,2,4,4],[2,4]] => ([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28) => ([(2,19),(3,14),(3,19),(3,21),(4,23),(4,24),(4,25),(4,27),(5,13),(5,23),(5,24),(5,25),(5,27),(6,8),(6,10),(6,11),(6,12),(6,14),(6,17),(6,18),(6,19),(6,21),(6,26),(7,8),(7,12),(7,15),(7,16),(7,18),(7,22),(7,23),(7,24),(7,25),(7,26),(7,27),(8,9),(8,10),(8,11),(8,13),(8,14),(8,17),(8,19),(8,20),(8,21),(9,12),(9,15),(9,16),(9,17),(9,18),(9,22),(9,23),(9,24),(9,25),(9,26),(9,27),(10,15),(10,16),(10,18),(10,21),(10,22),(10,23),(10,24),(10,25),(10,26),(10,27),(11,15),(11,16),(11,18),(11,20),(11,22),(11,23),(11,24),(11,25),(11,26),(11,27),(12,13),(12,15),(12,16),(12,20),(12,22),(12,23),(12,24),(12,25),(12,27),(13,15),(13,16),(13,18),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(14,15),(14,16),(14,18),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,17),(15,18),(15,19),(15,20),(15,21),(15,26),(16,17),(16,19),(16,20),(16,21),(16,26),(16,27),(17,18),(17,20),(17,22),(17,23),(17,24),(17,25),(17,26),(17,27),(18,19),(18,20),(18,21),(18,27),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(20,21),(20,22),(20,23),(20,24),(20,25),(20,26),(20,27),(21,22),(21,23),(21,24),(21,25),(21,26),(21,27),(22,23),(22,24),(22,25),(22,27),(23,26),(24,26),(25,26),(26,27)],28) => 10
[[1,3,3,3],[2,4]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,3,3,4],[2,4]] => ([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,28),(5,24),(6,22),(7,17),(8,13),(8,24),(9,23),(10,15),(10,16),(11,20),(11,21),(12,23),(12,27),(13,11),(13,26),(13,27),(14,29),(15,29),(16,7),(16,29),(18,16),(19,14),(20,19),(21,18),(22,10),(22,18),(23,4),(23,25),(24,6),(24,26),(25,19),(25,28),(26,21),(26,22),(27,20),(27,25),(28,14),(28,15),(29,17)],30) => ([(2,19),(3,17),(3,18),(3,22),(3,27),(3,28),(3,29),(4,17),(4,18),(4,21),(4,22),(4,27),(4,28),(4,29),(5,7),(5,10),(5,11),(5,16),(5,19),(5,24),(5,25),(5,26),(6,15),(6,17),(6,18),(6,21),(6,22),(6,23),(6,27),(6,28),(6,29),(7,11),(7,13),(7,14),(7,15),(7,16),(7,19),(7,20),(7,21),(7,23),(7,26),(8,10),(8,11),(8,13),(8,14),(8,15),(8,16),(8,19),(8,20),(8,21),(8,23),(8,24),(8,25),(8,26),(9,11),(9,13),(9,14),(9,15),(9,16),(9,19),(9,20),(9,21),(9,23),(9,24),(9,25),(9,26),(9,29),(10,11),(10,13),(10,14),(10,15),(10,16),(10,19),(10,20),(10,21),(10,23),(10,26),(10,29),(11,12),(11,17),(11,18),(11,22),(11,25),(11,27),(11,28),(11,29),(12,13),(12,14),(12,15),(12,16),(12,19),(12,20),(12,21),(12,23),(12,24),(12,26),(12,27),(12,28),(12,29),(13,17),(13,18),(13,22),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(14,17),(14,18),(14,22),(14,23),(14,24),(14,25),(14,27),(14,28),(14,29),(15,17),(15,18),(15,22),(15,24),(15,25),(15,27),(15,28),(15,29),(16,17),(16,18),(16,20),(16,22),(16,25),(16,27),(16,28),(16,29),(17,19),(17,20),(17,21),(17,23),(17,24),(17,26),(18,19),(18,20),(18,21),(18,23),(18,24),(18,26),(19,22),(19,25),(19,27),(19,28),(19,29),(20,22),(20,24),(20,25),(20,26),(20,27),(20,28),(20,29),(21,22),(21,24),(21,25),(21,27),(21,28),(21,29),(22,23),(22,24),(22,26),(22,28),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(24,27),(24,28),(24,29),(25,26),(25,27),(25,28),(25,29),(26,27),(26,28),(26,29)],30) => 10
[[1,3,4,4],[2,4]] => ([(0,1),(0,2),(1,10),(1,12),(2,9),(2,11),(3,35),(4,33),(5,42),(6,32),(7,31),(8,15),(8,34),(9,36),(10,37),(11,16),(11,36),(12,17),(12,18),(12,37),(13,21),(13,23),(14,24),(14,38),(15,22),(15,28),(16,14),(16,40),(16,41),(17,30),(17,41),(18,26),(18,30),(20,44),(21,44),(22,43),(23,4),(23,44),(24,25),(25,23),(26,34),(27,20),(27,43),(28,35),(28,43),(29,31),(30,5),(30,39),(31,19),(32,13),(32,25),(33,19),(34,3),(34,28),(35,7),(35,29),(36,6),(36,40),(37,8),(37,26),(38,22),(38,27),(39,27),(39,42),(40,24),(40,32),(41,38),(41,39),(42,20),(42,21),(43,29),(44,33)],45) => ([(2,7),(2,9),(2,11),(2,21),(2,25),(2,27),(2,29),(2,31),(2,33),(2,35),(2,37),(2,39),(2,41),(2,43),(3,6),(3,8),(3,10),(3,20),(3,24),(3,26),(3,28),(3,30),(3,32),(3,34),(3,36),(3,38),(3,40),(3,42),(4,6),(4,8),(4,10),(4,20),(4,24),(4,26),(4,28),(4,30),(4,32),(4,34),(4,35),(4,36),(4,38),(4,40),(4,42),(5,7),(5,9),(5,11),(5,21),(5,25),(5,27),(5,29),(5,31),(5,33),(5,34),(5,35),(5,37),(5,39),(5,41),(5,43),(6,12),(6,17),(6,22),(6,25),(6,27),(6,29),(6,31),(6,33),(6,35),(6,37),(6,39),(6,41),(6,43),(6,44),(7,13),(7,18),(7,23),(7,24),(7,26),(7,28),(7,30),(7,32),(7,34),(7,36),(7,38),(7,40),(7,42),(7,44),(8,12),(8,17),(8,22),(8,25),(8,27),(8,29),(8,31),(8,33),(8,35),(8,37),(8,38),(8,39),(8,41),(8,43),(8,44),(9,13),(9,18),(9,23),(9,24),(9,26),(9,28),(9,30),(9,32),(9,34),(9,36),(9,38),(9,39),(9,40),(9,42),(9,44),(10,12),(10,17),(10,22),(10,25),(10,27),(10,29),(10,31),(10,32),(10,33),(10,35),(10,37),(10,38),(10,39),(10,41),(10,42),(10,43),(10,44),(11,13),(11,18),(11,23),(11,24),(11,26),(11,28),(11,30),(11,32),(11,33),(11,34),(11,36),(11,38),(11,39),(11,40),(11,42),(11,43),(11,44),(12,15),(12,17),(12,19),(12,20),(12,21),(12,24),(12,25),(12,26),(12,28),(12,30),(12,31),(12,32),(12,34),(12,35),(12,36),(12,38),(12,40),(12,41),(12,42),(13,16),(13,18),(13,19),(13,20),(13,21),(13,24),(13,25),(13,27),(13,29),(13,30),(13,31),(13,33),(13,34),(13,35),(13,37),(13,39),(13,40),(13,41),(13,43),(14,19),(14,20),(14,21),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(14,32),(14,33),(14,34),(14,35),(14,36),(14,37),(14,38),(14,39),(14,40),(14,41),(14,42),(14,43),(14,44),(15,20),(15,22),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(15,32),(15,33),(15,34),(15,35),(15,36),(15,37),(15,38),(15,39),(15,40),(15,41),(15,42),(15,43),(15,44),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(16,40),(16,41),(16,42),(16,43),(16,44),(17,20),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(17,40),(17,41),(17,42),(17,43),(18,21),(18,24),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(18,40),(18,41),(18,42),(18,43),(19,22),(19,23),(19,24),(19,25),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(19,40),(19,41),(19,42),(19,43),(19,44),(20,22),(20,23),(20,25),(20,26),(20,27),(20,28),(20,29),(20,31),(20,32),(20,33),(20,35),(20,36),(20,37),(20,38),(20,39),(20,41),(20,42),(20,43),(20,44),(21,22),(21,23),(21,24),(21,26),(21,27),(21,28),(21,29),(21,30),(21,32),(21,33),(21,34),(21,36),(21,37),(21,38),(21,39),(21,40),(21,42),(21,43),(21,44),(22,24),(22,25),(22,26),(22,27),(22,28),(22,29),(22,30),(22,31),(22,32),(22,33),(22,34),(22,35),(22,36),(22,37),(22,38),(22,39),(22,40),(22,41),(22,42),(22,43),(23,24),(23,25),(23,26),(23,27),(23,28),(23,29),(23,30),(23,31),(23,32),(23,33),(23,34),(23,35),(23,36),(23,37),(23,38),(23,39),(23,40),(23,41),(23,42),(23,43),(24,25),(24,27),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(24,41),(24,43),(24,44),(25,26),(25,28),(25,30),(25,32),(25,34),(25,36),(25,38),(25,40),(25,42),(25,44),(26,27),(26,29),(26,31),(26,33),(26,35),(26,37),(26,39),(26,41),(26,42),(26,43),(26,44),(27,28),(27,30),(27,32),(27,34),(27,36),(27,38),(27,40),(27,42),(27,43),(27,44),(28,29),(28,31),(28,33),(28,35),(28,37),(28,39),(28,40),(28,41),(28,43),(28,44),(29,30),(29,32),(29,34),(29,36),(29,38),(29,40),(29,41),(29,42),(29,44),(30,31),(30,33),(30,35),(30,36),(30,37),(30,39),(30,41),(30,43),(30,44),(31,32),(31,34),(31,36),(31,37),(31,38),(31,40),(31,42),(31,44),(32,33),(32,35),(32,37),(32,39),(32,41),(32,43),(32,44),(33,34),(33,36),(33,38),(33,40),(33,42),(33,44),(34,35),(34,37),(34,39),(34,41),(34,43),(34,44),(35,36),(35,38),(35,40),(35,42),(35,44),(36,37),(36,39),(36,40),(36,41),(36,43),(36,44),(37,38),(37,40),(37,41),(37,42),(37,44),(38,39),(38,41),(38,43),(38,44),(39,40),(39,42),(39,44),(40,41),(40,42),(40,43),(40,44),(41,42),(41,43),(41,44),(42,43),(42,44),(43,44)],45) => 11
[[1,1,1,1],[2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(3,4)],5) => 4
[[1,1,1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,4],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,2,2],[2],[4]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,3],[2],[4]] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 5
[[1,1,2,4],[2],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,4],[2],[4]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,2,3],[3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,3,3],[2],[4]] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,3,4],[2],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,4],[3],[4]] => ([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15) => ([(2,5),(2,12),(2,13),(2,14),(3,4),(3,9),(3,10),(3,11),(4,12),(4,13),(4,14),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(6,12),(6,13),(6,14),(7,9),(7,10),(7,11),(7,12),(7,13),(7,14),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(9,12),(9,13),(9,14),(10,12),(10,13),(10,14),(11,12),(11,13),(11,14)],15) => 7
[[1,1,4,4],[2],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,4,4],[2],[4]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,2,2,2],[2],[4]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,2,2,2],[3],[4]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,2,3],[2],[4]] => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 6
[[1,2,2,4],[2],[3]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,2,4],[2],[4]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,3,4],[2],[3]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,4,4],[2],[3]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,3,4],[2],[3]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,3,4,4],[2],[3]] => ([(0,1),(1,4),(1,5),(2,14),(3,13),(4,6),(4,17),(5,7),(5,17),(6,15),(7,16),(8,11),(8,12),(10,18),(11,3),(11,18),(12,2),(12,18),(13,9),(14,9),(15,10),(15,11),(16,10),(16,12),(17,8),(17,15),(17,16),(18,13),(18,14)],19) => ([(3,4),(3,16),(4,15),(5,6),(5,17),(6,18),(7,17),(7,18),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,11),(10,13),(10,14),(10,15),(10,18),(11,12),(11,14),(11,16),(11,17),(12,13),(12,15),(12,18),(13,16),(13,17),(14,17),(14,18),(15,16),(15,17),(16,18),(17,18)],19) => 9
[[1,4,4,4],[2],[3]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[2,2,2,2],[3],[4]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1],[2,2,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[2,3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1],[2,4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1],[3,3,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1],[3,4,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1],[4,4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2],[2,2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,2],[2,3,4]] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => 5
[[1,1,3],[2,2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2],[2,4,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,1,3],[2,3,4]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,3],[2,4,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,2,2],[2,3,4]] => ([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => ([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => 6
[[1,2,2],[2,4,4]] => ([(0,6),(1,12),(2,11),(3,11),(3,12),(4,8),(5,9),(6,1),(6,2),(6,3),(7,8),(7,9),(8,10),(9,10),(11,4),(11,7),(12,5),(12,7)],13) => ([(3,4),(3,12),(4,11),(5,11),(5,12),(6,9),(6,10),(7,8),(7,10),(7,11),(8,9),(8,12),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,2,3],[2,3,4]] => ([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(3,11),(3,12),(3,13),(4,6),(4,8),(4,10),(5,9),(5,11),(5,12),(5,13),(6,7),(6,8),(6,9),(7,10),(7,11),(7,12),(7,13),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(9,13),(10,11),(10,12),(10,13)],14) => 7
[[1,2,3],[2,4,4]] => ([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19) => ([(3,4),(3,9),(3,11),(3,18),(4,9),(4,10),(4,17),(5,6),(5,8),(5,13),(5,17),(6,8),(6,12),(6,18),(7,14),(7,15),(7,16),(7,17),(7,18),(8,14),(8,15),(8,16),(9,14),(9,15),(9,16),(10,11),(10,14),(10,15),(10,16),(10,18),(11,14),(11,15),(11,16),(11,17),(12,13),(12,14),(12,15),(12,16),(12,17),(13,14),(13,15),(13,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,18)],19) => 8
[[1,3,3],[2,4,4]] => ([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20) => ([(4,5),(4,10),(4,12),(4,19),(5,10),(5,11),(5,18),(6,7),(6,9),(6,14),(6,18),(7,9),(7,13),(7,19),(8,15),(8,16),(8,17),(8,18),(8,19),(9,15),(9,16),(9,17),(10,15),(10,16),(10,17),(11,12),(11,15),(11,16),(11,17),(11,19),(12,15),(12,16),(12,17),(12,18),(13,14),(13,15),(13,16),(13,17),(13,18),(14,15),(14,16),(14,17),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,19)],20) => 9
[[1,1,1],[2,2],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1],[2,3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[2,4],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1],[2,4],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1],[3,4],[4]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,2],[2,2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,2],[2,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2],[2,4],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,3],[2,2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(3,4)],5) => 4
[[1,1,4],[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2],[2,4],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,4],[2,2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2],[3,3],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,3],[2,3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,3],[2,4],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,4],[2,3],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,2],[3,4],[4]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,3],[2,4],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,4],[2,3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,4],[2,4],[3]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,3],[3,3],[4]] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(5,6)],7) => 6
[[1,1,3],[3,4],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2],[2,3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2],[2,4],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2,2],[2,4],[4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,2,2],[3,3],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,2,3],[2,3],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,2,3],[2,4],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,2,4],[2,3],[3]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,2,2],[3,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,2,3],[2,4],[4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,2,4],[2,3],[4]] => ([(0,9),(0,10),(1,12),(2,11),(3,11),(3,12),(4,7),(5,8),(6,3),(7,2),(8,1),(9,4),(9,14),(10,5),(10,14),(11,13),(12,13),(14,6)],15) => ([(2,5),(2,12),(2,13),(2,14),(3,4),(3,9),(3,10),(3,11),(4,12),(4,13),(4,14),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(6,12),(6,13),(6,14),(7,9),(7,10),(7,11),(7,12),(7,13),(7,14),(8,9),(8,10),(8,11),(8,12),(8,13),(8,14),(9,12),(9,13),(9,14),(10,12),(10,13),(10,14),(11,12),(11,13),(11,14)],15) => 7
[[1,2,4],[2,4],[3]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,3,3],[2,4],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,3],[3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,3,4],[2,4],[3]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1],[2],[3],[4]] => ([],1) => ([],1) => 1
[[1,1,2],[2],[3],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,3],[2],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,4],[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2,2],[2],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2,3],[2],[3],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,2,4],[2],[3],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,3,3],[2],[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,3,4],[2],[3],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,4,4],[2],[3],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1],[2,2],[3,4]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[2,2],[4,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,3],[3,4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1],[2,3],[4,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1],[3,3],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,2],[2,3],[3,4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,2],[2,3],[4,4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,2],[3,3],[4,4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[2,2],[3,3],[4,4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1],[2,2],[3],[4]] => ([],1) => ([],1) => 1
[[1,1],[2,3],[3],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1],[2,4],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[2,3],[3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,2],[2,4],[3],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,3],[2,4],[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,1,1,1,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,1,2,2,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,2,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,2,2,2,3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,1,2,2,3,3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,1,2,3,3,3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,1,3,3,3,3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,2,2,2,2,3]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,1,2,2,2,3,3]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,1,2,2,3,3,3]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,1,2,3,3,3,3]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,1,3,3,3,3,3]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1,1,1,1],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,3],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1,2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,1,3,3],[3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,2,2,3],[2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,2,2,3],[3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,2,3,3],[2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,2,3,3],[3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,1,3,3,3],[2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,1,3,3,3],[3]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,1,2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,2,2,2,3],[2]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,1,2,2,2,3],[3]] => ([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12) => ([(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12) => 7
[[1,1,2,2,3,3],[2]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,1,2,2,3,3],[3]] => ([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18) => ([(2,5),(2,17),(3,13),(3,14),(3,15),(3,16),(3,17),(4,8),(4,9),(4,10),(4,11),(4,17),(5,13),(5,14),(5,15),(5,16),(6,11),(6,13),(6,14),(6,15),(6,16),(6,17),(7,8),(7,9),(7,10),(7,11),(7,16),(7,17),(8,12),(8,13),(8,14),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,12),(10,13),(10,14),(10,15),(10,16),(11,12),(11,13),(11,14),(11,15),(11,16),(12,13),(12,14),(12,15),(12,16),(12,17),(13,17),(14,17),(15,17),(16,17)],18) => 8
[[1,1,2,3,3,3],[2]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,1,2,3,3,3],[3]] => ([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24) => ([(2,15),(2,16),(2,17),(2,19),(2,23),(3,12),(3,13),(3,14),(3,18),(3,22),(4,8),(4,12),(4,13),(4,14),(4,18),(4,22),(4,23),(5,9),(5,15),(5,16),(5,17),(5,19),(5,22),(5,23),(6,7),(6,9),(6,11),(6,12),(6,13),(6,14),(6,18),(6,20),(6,22),(6,23),(7,8),(7,10),(7,15),(7,16),(7,17),(7,19),(7,21),(7,22),(7,23),(8,9),(8,11),(8,12),(8,13),(8,14),(8,18),(8,20),(8,22),(9,10),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(10,11),(10,12),(10,13),(10,14),(10,18),(10,19),(10,20),(10,22),(10,23),(11,15),(11,16),(11,17),(11,18),(11,19),(11,21),(11,22),(11,23),(12,15),(12,16),(12,17),(12,19),(12,20),(12,21),(12,23),(13,15),(13,16),(13,17),(13,19),(13,20),(13,21),(13,23),(14,15),(14,16),(14,17),(14,19),(14,20),(14,21),(14,23),(15,18),(15,20),(15,21),(15,22),(16,18),(16,20),(16,21),(16,22),(17,18),(17,20),(17,21),(17,22),(18,19),(18,20),(18,21),(18,23),(19,20),(19,21),(19,22),(20,21),(20,22),(20,23),(21,22),(21,23),(22,23)],24) => 9
[[1,1,3,3,3,3],[2]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,2,2,2,2,2],[3]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,2,2,2,2,3],[2]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) => ([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => 7
[[1,2,2,2,3,3],[2]] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15) => 8
[[1,2,2,3,3,3],[2]] => ([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(3,12),(4,9),(4,16),(5,6),(5,12),(5,15),(6,14),(6,17),(7,14),(7,15),(7,17),(8,13),(8,16),(8,17),(9,13),(9,17),(10,11),(10,15),(10,16),(10,17),(11,13),(11,14),(11,17),(12,14),(12,17),(13,15),(13,16),(14,15),(14,16),(15,17),(16,17)],18) => 9
[[1,2,3,3,3,3],[2]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,3,3,3,3,3],[2]] => ([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(4,15),(5,14),(6,8),(6,14),(6,18),(7,9),(7,15),(7,19),(8,16),(8,20),(9,17),(9,20),(10,16),(10,18),(10,20),(11,17),(11,19),(11,20),(12,13),(12,16),(12,17),(12,20),(13,18),(13,19),(13,20),(14,16),(14,20),(15,17),(15,20),(16,18),(16,19),(17,18),(17,19),(18,20),(19,20)],21) => 11
[[1,1,1,1,1],[2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1],[3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2],[2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,3],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,3],[2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,2,3],[2,3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,3,3],[2,2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1,2,3],[3,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,3,3],[2,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,2,2,2],[2,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,2,3],[2,2]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,2,2],[3,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,1,2,2,3],[2,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,2,3,3],[2,2]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,2,3],[3,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,2,3,3],[2,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,3,3,3],[2,2]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,3,3,3],[2,3]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[1,2,2,2,2],[2,3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,2,2,3],[2,3]] => ([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12) => ([(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12) => 7
[[1,2,2,3,3],[2,3]] => ([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18) => ([(2,5),(2,17),(3,13),(3,14),(3,15),(3,16),(3,17),(4,8),(4,9),(4,10),(4,11),(4,17),(5,13),(5,14),(5,15),(5,16),(6,11),(6,13),(6,14),(6,15),(6,16),(6,17),(7,8),(7,9),(7,10),(7,11),(7,16),(7,17),(8,12),(8,13),(8,14),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,12),(10,13),(10,14),(10,15),(10,16),(11,12),(11,13),(11,14),(11,15),(11,16),(12,13),(12,14),(12,15),(12,16),(12,17),(13,17),(14,17),(15,17),(16,17)],18) => 8
[[1,2,3,3,3],[2,3]] => ([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24) => ([(2,15),(2,16),(2,17),(2,19),(2,23),(3,12),(3,13),(3,14),(3,18),(3,22),(4,8),(4,12),(4,13),(4,14),(4,18),(4,22),(4,23),(5,9),(5,15),(5,16),(5,17),(5,19),(5,22),(5,23),(6,7),(6,9),(6,11),(6,12),(6,13),(6,14),(6,18),(6,20),(6,22),(6,23),(7,8),(7,10),(7,15),(7,16),(7,17),(7,19),(7,21),(7,22),(7,23),(8,9),(8,11),(8,12),(8,13),(8,14),(8,18),(8,20),(8,22),(9,10),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(10,11),(10,12),(10,13),(10,14),(10,18),(10,19),(10,20),(10,22),(10,23),(11,15),(11,16),(11,17),(11,18),(11,19),(11,21),(11,22),(11,23),(12,15),(12,16),(12,17),(12,19),(12,20),(12,21),(12,23),(13,15),(13,16),(13,17),(13,19),(13,20),(13,21),(13,23),(14,15),(14,16),(14,17),(14,19),(14,20),(14,21),(14,23),(15,18),(15,20),(15,21),(15,22),(16,18),(16,20),(16,21),(16,22),(17,18),(17,20),(17,21),(17,22),(18,19),(18,20),(18,21),(18,23),(19,20),(19,21),(19,22),(20,21),(20,22),(20,23),(21,22),(21,23),(22,23)],24) => 9
[[1,1,1,1,1],[2],[3]] => ([],1) => ([],1) => 1
[[1,1,1,1,2],[2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2,2,2],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2,3],[2],[3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,2,3,3],[2],[3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,3,3,3],[2],[3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2,2,2],[2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,2,3],[2],[3]] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,2,2,3,3],[2],[3]] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) => ([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12) => 7
[[1,2,3,3,3],[2],[3]] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) => ([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 8
[[1,3,3,3,3],[2],[3]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,1,1,1],[2,2,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1],[2,3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1],[3,3,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[2,2,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[2,3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,1,3],[2,2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[3,3,3]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,3],[2,3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,3],[3,3,3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,2,2],[2,2,3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2],[2,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,2,3],[2,2,3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,2,2],[3,3,3]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,3],[2,3,3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,2,3],[3,3,3]] => ([(0,7),(0,8),(1,9),(2,10),(3,6),(3,9),(4,3),(5,1),(6,2),(6,11),(7,4),(8,5),(9,11),(11,10)],12) => ([(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12) => 7
[[1,2,2,2],[2,3,3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,2,2,2],[3,3,3]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,2,2,3],[2,3,3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,2,2,3],[3,3,3]] => ([(0,10),(0,11),(1,12),(2,17),(3,13),(4,14),(5,9),(5,12),(6,5),(7,3),(8,1),(8,17),(9,4),(9,15),(10,6),(11,2),(11,8),(12,15),(13,16),(14,16),(15,13),(15,14),(17,7)],18) => ([(2,5),(2,17),(3,13),(3,14),(3,15),(3,16),(3,17),(4,8),(4,9),(4,10),(4,11),(4,17),(5,13),(5,14),(5,15),(5,16),(6,11),(6,13),(6,14),(6,15),(6,16),(6,17),(7,8),(7,9),(7,10),(7,11),(7,16),(7,17),(8,12),(8,13),(8,14),(8,15),(8,16),(9,12),(9,13),(9,14),(9,15),(9,16),(10,12),(10,13),(10,14),(10,15),(10,16),(11,12),(11,13),(11,14),(11,15),(11,16),(12,13),(12,14),(12,15),(12,16),(12,17),(13,17),(14,17),(15,17),(16,17)],18) => 8
[[2,2,2,2],[3,3,3]] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => 8
[[2,2,2,3],[3,3,3]] => ([(0,13),(0,14),(1,16),(2,15),(3,17),(4,19),(5,18),(6,12),(6,16),(7,6),(8,2),(8,22),(9,1),(9,22),(10,4),(11,3),(11,23),(12,5),(12,20),(13,7),(14,8),(14,9),(15,23),(16,20),(17,21),(18,21),(20,17),(20,18),(21,19),(22,11),(22,15),(23,10)],24) => ([(2,15),(2,16),(2,17),(2,19),(2,23),(3,12),(3,13),(3,14),(3,18),(3,22),(4,8),(4,12),(4,13),(4,14),(4,18),(4,22),(4,23),(5,9),(5,15),(5,16),(5,17),(5,19),(5,22),(5,23),(6,7),(6,9),(6,11),(6,12),(6,13),(6,14),(6,18),(6,20),(6,22),(6,23),(7,8),(7,10),(7,15),(7,16),(7,17),(7,19),(7,21),(7,22),(7,23),(8,9),(8,11),(8,12),(8,13),(8,14),(8,18),(8,20),(8,22),(9,10),(9,15),(9,16),(9,17),(9,19),(9,21),(9,23),(10,11),(10,12),(10,13),(10,14),(10,18),(10,19),(10,20),(10,22),(10,23),(11,15),(11,16),(11,17),(11,18),(11,19),(11,21),(11,22),(11,23),(12,15),(12,16),(12,17),(12,19),(12,20),(12,21),(12,23),(13,15),(13,16),(13,17),(13,19),(13,20),(13,21),(13,23),(14,15),(14,16),(14,17),(14,19),(14,20),(14,21),(14,23),(15,18),(15,20),(15,21),(15,22),(16,18),(16,20),(16,21),(16,22),(17,18),(17,20),(17,21),(17,22),(18,19),(18,20),(18,21),(18,23),(19,20),(19,21),(19,22),(20,21),(20,22),(20,23),(21,22),(21,23),(22,23)],24) => 9
[[1,1,1,1],[2,2],[3]] => ([],1) => ([],1) => 1
[[1,1,1,1],[2,3],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2],[2,2],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2],[2,2],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2,2],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,3],[2,2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,1,2,3],[2,3],[3]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,3,3],[2,2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,3,3],[2,3],[3]] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => 6
[[1,2,2,2],[2,3],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,2,2,3],[2,3],[3]] => ([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,2,3,3],[2,3],[3]] => ([(0,9),(0,10),(1,11),(2,14),(3,12),(4,13),(5,4),(5,11),(6,5),(7,3),(8,1),(8,14),(9,6),(10,2),(10,8),(11,13),(13,12),(14,7)],15) => ([(2,9),(2,10),(2,11),(2,14),(3,6),(3,7),(3,8),(3,13),(4,6),(4,7),(4,8),(4,13),(4,14),(5,9),(5,10),(5,11),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(6,14),(7,9),(7,10),(7,11),(7,12),(7,14),(8,9),(8,10),(8,11),(8,12),(8,14),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,13),(12,14),(13,14)],15) => 7
[[1,1,1],[2,2,2],[3]] => ([],1) => ([],1) => 1
[[1,1,1],[2,2,3],[3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1],[2,3,3],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[2,2,3],[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,2],[2,3,3],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => 4
[[1,2,2],[2,3,3],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => 5
[[1,1,1],[2,2],[3,3]] => ([],1) => ([],1) => 1
[[1,1,2],[2,2],[3,3]] => ([(0,1)],2) => ([],2) => 2
[[1,1,3],[2,2],[3,3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,1,1,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1,1,1,1,1],[2]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,1,2],[2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,2,2,2,2],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,2,2,2,2,2],[2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => 7
[[1,1,1,1,1,1],[2,2]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,2],[2,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2,2,2],[2,2]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2,2,2],[2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,1],[2,2,2]] => ([],1) => ([],1) => 1
[[1,1,1,1,2],[2,2,2]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2,2],[2,2,2]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1],[2,2,2,2]] => ([],1) => ([],1) => 1
[[1]] => ([],1) => ([],1) => 1
[[1,1,1,1],[2,2,2],[3,3],[4]] => ([],1) => ([],1) => 1
[[1,1,1,2],[2,2,2],[3,3],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1],[2,2,3],[3,3],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2],[2,2,3],[3,3],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,3],[2,2,3],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,2],[2,2,3],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,2,3],[2,2,3],[3,3],[4]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1],[2,2,2],[3,4],[4]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,2],[2,2,2],[3,4],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1],[2,2,3],[3,4],[4]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,2],[2,2,3],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,3],[2,2,3],[3,4],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,2,2],[2,2,3],[3,4],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,2,3],[2,2,3],[3,4],[4]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1],[2,2,4],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[2,2,4],[3,4],[4]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,3],[2,2,4],[3,4],[4]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,2,2],[2,2,4],[3,4],[4]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,2,3],[2,2,4],[3,4],[4]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,1,1],[2,3,3],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2],[2,3,3],[3,4],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => 5
[[1,1,1,3],[2,3,3],[3,4],[4]] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(5,6)],7) => 6
[[1,1,2,2],[2,3,3],[3,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => 6
[[1,1,1,1],[2,3,4],[3,4],[4]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,2],[2,3,4],[3,4],[4]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,3],[2,3,4],[3,4],[4]] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => 7
[[1,1,2,2],[2,3,4],[3,4],[4]] => ([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(2,9),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,6),(5,8),(5,9),(6,10),(6,11),(6,12),(7,8),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(9,10),(9,11),(9,12)],13) => 7
[[1,1,2,3],[2,3,4],[3,4],[4]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]] => ([],1) => ([],1) => 1
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(5,6)],7) => 6
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(5,6)],7) => 6
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => ([],1) => ([],1) => 1
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => ([(0,1)],2) => ([],2) => 2
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => 3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => ([(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) => ([(2,5),(2,8),(3,4),(3,8),(4,7),(5,7),(6,7),(6,8),(7,8)],9) => 5
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => ([(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) => ([(2,7),(2,11),(3,6),(3,10),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(4,7),(5,6),(6,7)],8) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]] => ([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => ([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 5
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => ([(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) => ([(2,7),(2,11),(3,6),(3,10),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12) => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => 5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13) => 7
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => 6
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(3,12),(3,13),(4,5),(4,13),(5,12),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(7,12),(8,9),(8,11),(8,13),(9,10),(9,12),(10,13),(11,12),(11,13),(12,13)],14) => 7
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(3,5),(3,17),(4,11),(4,17),(4,18),(5,11),(5,18),(6,8),(6,10),(6,14),(6,18),(7,13),(7,15),(7,16),(7,17),(7,18),(8,10),(8,12),(8,15),(8,16),(9,10),(9,12),(9,14),(9,15),(9,16),(9,18),(10,13),(10,16),(10,17),(11,13),(11,15),(11,16),(11,17),(12,13),(12,14),(12,16),(12,17),(12,18),(13,14),(13,15),(13,18),(14,15),(14,16),(14,17),(15,17),(15,18),(16,18),(17,18)],19) => 8
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(3,13),(4,14),(4,15),(5,6),(5,15),(6,14),(7,10),(7,11),(7,12),(7,15),(8,9),(8,11),(8,12),(8,13),(9,10),(9,12),(9,15),(10,11),(10,13),(10,14),(11,14),(11,15),(12,13),(12,14),(13,15),(14,15)],16) => 8
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,1),(1,2),(1,3),(2,4),(2,16),(3,6),(3,16),(4,18),(5,17),(6,5),(6,19),(7,9),(7,11),(8,10),(8,14),(9,21),(10,22),(11,21),(12,20),(13,12),(13,22),(14,7),(14,15),(14,22),(15,9),(15,20),(16,8),(16,18),(16,19),(17,12),(17,15),(18,10),(18,13),(19,13),(19,14),(19,17),(20,21),(22,11),(22,20)],23) => ([(3,6),(3,21),(4,10),(4,16),(4,20),(5,9),(5,21),(5,22),(6,9),(6,22),(7,15),(7,18),(7,19),(7,21),(7,22),(8,13),(8,14),(8,16),(8,17),(8,20),(8,22),(9,15),(9,18),(9,19),(9,21),(10,13),(10,14),(10,16),(10,17),(10,22),(11,12),(11,14),(11,17),(11,18),(11,19),(11,21),(11,22),(12,13),(12,15),(12,16),(12,17),(12,19),(12,20),(12,22),(13,14),(13,18),(13,19),(13,20),(13,21),(14,15),(14,16),(14,19),(14,20),(15,17),(15,18),(15,21),(15,22),(16,18),(16,19),(16,21),(17,18),(17,19),(17,20),(17,21),(18,20),(18,22),(19,20),(19,22),(20,21),(20,22),(21,22)],23) => 9
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => ([(0,1),(1,3),(1,4),(2,14),(3,6),(3,20),(4,5),(4,20),(5,19),(6,7),(6,21),(7,18),(8,12),(8,13),(9,11),(9,17),(10,22),(11,24),(12,23),(13,2),(13,23),(15,13),(15,22),(16,10),(16,24),(17,8),(17,15),(17,24),(18,10),(18,15),(19,11),(19,16),(20,9),(20,19),(20,21),(21,16),(21,17),(21,18),(22,23),(23,14),(24,12),(24,22)],25) => ([(3,19),(4,6),(4,24),(5,9),(5,23),(5,24),(6,9),(6,23),(7,12),(7,15),(7,19),(7,21),(8,14),(8,20),(8,22),(8,23),(8,24),(9,14),(9,20),(9,22),(9,24),(10,16),(10,17),(10,18),(10,20),(10,22),(10,23),(10,24),(11,13),(11,15),(11,17),(11,18),(11,19),(11,21),(11,23),(12,13),(12,15),(12,17),(12,18),(12,19),(12,23),(13,16),(13,18),(13,20),(13,21),(13,22),(13,24),(14,16),(14,17),(14,18),(14,20),(14,23),(14,24),(15,16),(15,18),(15,20),(15,22),(15,24),(16,17),(16,19),(16,21),(16,22),(16,23),(17,20),(17,21),(17,22),(17,24),(18,19),(18,21),(18,22),(19,20),(19,22),(19,24),(20,21),(20,23),(21,22),(21,23),(21,24),(22,23),(23,24)],25) => 10
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]] => ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => 5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]] => ([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => 6
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]] => ([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(2,9),(2,13),(3,10),(3,11),(3,12),(4,10),(4,11),(4,12),(5,7),(5,8),(5,9),(5,13),(6,7),(6,10),(6,11),(6,12),(6,13),(7,10),(7,11),(7,12),(8,10),(8,11),(8,12),(8,13),(9,10),(9,11),(9,12),(10,13),(11,13),(12,13)],14) => 7
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]] => ([(0,9),(0,11),(1,18),(2,17),(3,19),(4,13),(4,19),(5,12),(5,13),(6,16),(7,14),(8,5),(8,18),(9,10),(10,3),(10,4),(11,1),(11,8),(12,17),(13,15),(15,16),(16,14),(17,7),(18,2),(18,12),(19,6),(19,15)],20) => ([(2,10),(2,11),(2,13),(2,15),(2,17),(2,19),(3,8),(3,9),(3,12),(3,14),(3,16),(3,18),(4,8),(4,9),(4,12),(4,14),(4,16),(4,18),(4,19),(5,10),(5,11),(5,13),(5,15),(5,17),(5,18),(5,19),(6,8),(6,9),(6,12),(6,13),(6,14),(6,16),(6,17),(6,18),(6,19),(7,10),(7,11),(7,12),(7,13),(7,15),(7,16),(7,17),(7,18),(7,19),(8,10),(8,11),(8,13),(8,15),(8,17),(8,19),(9,10),(9,11),(9,13),(9,15),(9,17),(9,19),(10,12),(10,14),(10,16),(10,18),(11,12),(11,14),(11,16),(11,18),(12,13),(12,15),(12,17),(12,19),(13,14),(13,16),(13,18),(14,15),(14,16),(14,17),(14,19),(15,16),(15,17),(15,18),(16,17),(16,19),(17,18),(18,19)],20) => 8
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]] => ([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(2,3),(2,10),(2,19),(2,20),(2,25),(3,17),(3,18),(3,21),(3,22),(3,23),(3,24),(4,6),(4,9),(4,15),(4,17),(4,18),(4,21),(4,22),(4,23),(4,24),(5,6),(5,9),(5,15),(5,17),(5,18),(5,21),(5,22),(5,23),(5,24),(6,11),(6,12),(6,13),(6,16),(6,19),(6,20),(6,25),(7,16),(7,17),(7,18),(7,19),(7,20),(7,21),(7,22),(7,23),(7,24),(7,25),(8,10),(8,17),(8,18),(8,19),(8,20),(8,21),(8,22),(8,23),(8,24),(8,25),(9,11),(9,12),(9,13),(9,16),(9,19),(9,20),(9,23),(9,25),(10,16),(10,17),(10,18),(10,20),(10,21),(10,22),(10,23),(10,24),(11,14),(11,15),(11,17),(11,18),(11,21),(11,22),(11,23),(11,24),(11,25),(12,13),(12,15),(12,17),(12,18),(12,21),(12,22),(12,23),(12,24),(12,25),(13,14),(13,15),(13,17),(13,18),(13,21),(13,22),(13,23),(13,24),(14,16),(14,17),(14,18),(14,19),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(15,16),(15,19),(15,20),(15,22),(15,23),(15,24),(15,25),(16,17),(16,18),(16,19),(16,21),(16,22),(16,23),(16,24),(16,25),(17,19),(17,20),(17,25),(18,19),(18,20),(18,25),(19,21),(19,22),(19,23),(19,24),(20,21),(20,22),(20,23),(20,24),(21,24),(21,25),(22,25),(23,25),(24,25)],26) => 9
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => ([(0,2),(0,3),(1,9),(1,15),(2,1),(3,7),(3,8),(4,30),(5,31),(6,23),(7,16),(7,37),(8,10),(8,37),(9,11),(9,36),(10,34),(11,35),(12,25),(12,29),(13,19),(13,22),(14,21),(14,27),(15,26),(15,36),(16,26),(16,33),(17,39),(18,38),(19,12),(19,38),(20,6),(21,4),(21,39),(22,5),(22,38),(24,23),(25,28),(26,32),(27,25),(27,39),(28,24),(29,20),(30,24),(31,20),(32,17),(32,27),(33,18),(33,19),(34,18),(34,22),(35,17),(35,21),(36,14),(36,32),(36,35),(37,13),(37,33),(37,34),(38,29),(38,31),(39,28),(39,30)],40) => ([(2,14),(2,15),(2,23),(2,25),(2,27),(2,31),(2,33),(2,35),(2,37),(2,39),(3,12),(3,13),(3,22),(3,24),(3,26),(3,30),(3,32),(3,34),(3,36),(3,38),(4,10),(4,12),(4,13),(4,22),(4,24),(4,26),(4,30),(4,32),(4,34),(4,36),(4,38),(4,39),(5,11),(5,14),(5,15),(5,23),(5,25),(5,27),(5,31),(5,33),(5,35),(5,37),(5,38),(5,39),(6,8),(6,10),(6,12),(6,13),(6,20),(6,22),(6,24),(6,26),(6,30),(6,32),(6,33),(6,34),(6,35),(6,36),(6,37),(6,38),(6,39),(7,9),(7,11),(7,14),(7,15),(7,21),(7,23),(7,25),(7,27),(7,31),(7,32),(7,33),(7,34),(7,35),(7,36),(7,37),(7,38),(7,39),(8,9),(8,11),(8,12),(8,13),(8,17),(8,19),(8,21),(8,22),(8,24),(8,26),(8,29),(8,30),(8,32),(8,34),(8,36),(8,38),(8,39),(9,10),(9,14),(9,15),(9,16),(9,18),(9,20),(9,23),(9,25),(9,27),(9,28),(9,31),(9,33),(9,35),(9,37),(9,38),(9,39),(10,11),(10,12),(10,13),(10,17),(10,19),(10,21),(10,22),(10,24),(10,26),(10,29),(10,30),(10,32),(10,34),(10,36),(10,38),(11,14),(11,15),(11,16),(11,18),(11,20),(11,23),(11,25),(11,27),(11,28),(11,31),(11,33),(11,35),(11,37),(11,39),(12,14),(12,15),(12,16),(12,18),(12,20),(12,23),(12,25),(12,27),(12,28),(12,31),(12,33),(12,35),(12,37),(12,39),(13,14),(13,15),(13,16),(13,18),(13,20),(13,23),(13,25),(13,27),(13,28),(13,31),(13,33),(13,35),(13,37),(13,39),(14,17),(14,19),(14,21),(14,22),(14,24),(14,26),(14,29),(14,30),(14,32),(14,34),(14,36),(14,38),(15,17),(15,19),(15,21),(15,22),(15,24),(15,26),(15,29),(15,30),(15,32),(15,34),(15,36),(15,38),(16,17),(16,19),(16,21),(16,22),(16,24),(16,26),(16,29),(16,30),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(16,38),(16,39),(17,18),(17,20),(17,23),(17,25),(17,27),(17,28),(17,30),(17,31),(17,32),(17,33),(17,34),(17,35),(17,36),(17,37),(17,38),(17,39),(18,19),(18,20),(18,21),(18,22),(18,24),(18,26),(18,29),(18,30),(18,32),(18,33),(18,34),(18,35),(18,36),(18,37),(18,38),(18,39),(19,20),(19,21),(19,23),(19,25),(19,27),(19,28),(19,31),(19,32),(19,33),(19,34),(19,35),(19,36),(19,37),(19,38),(19,39),(20,21),(20,22),(20,24),(20,26),(20,29),(20,30),(20,31),(20,32),(20,34),(20,35),(20,36),(20,38),(20,39),(21,23),(21,25),(21,27),(21,28),(21,30),(21,31),(21,33),(21,34),(21,35),(21,37),(21,38),(21,39),(22,23),(22,24),(22,25),(22,27),(22,28),(22,31),(22,33),(22,35),(22,36),(22,37),(22,39),(23,24),(23,25),(23,26),(23,29),(23,30),(23,32),(23,34),(23,36),(23,37),(23,38),(24,25),(24,27),(24,28),(24,29),(24,31),(24,33),(24,35),(24,37),(24,39),(25,26),(25,28),(25,29),(25,30),(25,32),(25,34),(25,36),(25,38),(26,27),(26,28),(26,29),(26,31),(26,33),(26,35),(26,36),(26,37),(26,39),(27,28),(27,29),(27,30),(27,32),(27,34),(27,36),(27,37),(27,38),(28,29),(28,30),(28,31),(28,32),(28,33),(28,34),(28,35),(28,36),(28,37),(28,38),(28,39),(29,30),(29,31),(29,32),(29,33),(29,34),(29,35),(29,36),(29,37),(29,38),(29,39),(30,31),(30,32),(30,33),(30,35),(30,36),(30,37),(30,39),(31,32),(31,33),(31,34),(31,36),(31,37),(31,38),(32,33),(32,35),(32,37),(32,39),(33,34),(33,36),(33,38),(34,35),(34,37),(34,39),(35,36),(35,38),(36,37),(36,39),(37,38),(38,39)],40) => 11
[[2]] => ([(0,1)],2) => ([],2) => 2
[[1,1]] => ([],1) => ([],1) => 1
[[3]] => ([(0,2),(2,1)],3) => ([],3) => 3
[[1,1,1]] => ([],1) => ([],1) => 1
[[4]] => ([(0,3),(2,1),(3,2)],4) => ([],4) => 4
[[1,1,1,1]] => ([],1) => ([],1) => 1
[[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => 5
[[1,1,1,1,1]] => ([],1) => ([],1) => 1
[[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,2,3],[4],[5],[6]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,2],[3],[4],[5],[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1,3,4],[2,5],[6]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,3],[2,4],[5],[6]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,3],[2],[4],[5],[6]] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,4,5],[2,6],[3]] => ([(0,1),(1,5),(1,6),(2,24),(3,27),(4,23),(5,8),(5,28),(6,9),(6,28),(7,26),(8,7),(8,29),(9,25),(10,16),(10,22),(11,17),(11,21),(13,30),(14,33),(15,4),(15,33),(16,2),(16,32),(17,3),(17,31),(18,16),(18,30),(19,12),(20,13),(20,31),(21,10),(21,18),(21,31),(22,15),(22,32),(23,12),(24,19),(25,17),(25,20),(26,13),(26,18),(27,14),(27,15),(28,11),(28,25),(28,29),(29,20),(29,21),(29,26),(30,14),(30,32),(31,22),(31,27),(31,30),(32,24),(32,33),(33,19),(33,23)],34) => ([(3,8),(3,26),(4,7),(4,25),(5,11),(5,25),(5,32),(6,12),(6,26),(6,33),(7,11),(7,32),(8,12),(8,33),(9,16),(9,20),(9,22),(9,25),(9,31),(9,32),(10,17),(10,21),(10,23),(10,26),(10,31),(10,33),(11,16),(11,20),(11,22),(11,25),(11,31),(12,17),(12,21),(12,23),(12,26),(12,31),(13,24),(13,27),(13,28),(13,29),(13,30),(13,31),(13,32),(13,33),(14,18),(14,20),(14,22),(14,25),(14,28),(14,29),(14,31),(14,32),(15,19),(15,21),(15,23),(15,26),(15,27),(15,30),(15,31),(15,33),(16,18),(16,20),(16,25),(16,28),(16,29),(16,32),(17,19),(17,21),(17,26),(17,27),(17,30),(17,33),(18,22),(18,24),(18,27),(18,29),(18,30),(18,31),(18,32),(18,33),(19,23),(19,24),(19,28),(19,29),(19,30),(19,31),(19,32),(19,33),(20,24),(20,27),(20,29),(20,30),(20,32),(20,33),(21,24),(21,28),(21,29),(21,30),(21,32),(21,33),(22,24),(22,27),(22,28),(22,29),(22,30),(22,32),(22,33),(23,24),(23,27),(23,28),(23,29),(23,30),(23,32),(23,33),(24,25),(24,26),(24,27),(24,28),(24,31),(25,27),(25,29),(25,30),(25,32),(25,33),(26,28),(26,29),(26,30),(26,32),(26,33),(27,28),(27,29),(27,31),(27,32),(28,30),(28,31),(28,33),(29,31),(30,31),(31,32),(31,33)],34) => 12
[[1,4],[2,5],[3,6]] => ([(0,9),(2,16),(2,17),(3,13),(4,12),(5,10),(6,11),(7,5),(7,15),(8,6),(8,15),(9,7),(9,8),(10,14),(10,16),(11,14),(11,17),(12,18),(13,18),(14,19),(15,2),(15,10),(15,11),(16,4),(16,19),(17,3),(17,19),(18,1),(19,12),(19,13)],20) => ([(4,5),(4,17),(5,16),(6,7),(6,18),(7,19),(8,18),(8,19),(9,16),(9,17),(10,13),(10,14),(10,15),(10,16),(10,17),(11,12),(11,14),(11,15),(11,16),(11,19),(12,13),(12,15),(12,17),(12,18),(13,14),(13,16),(13,19),(14,17),(14,18),(15,18),(15,19),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,4],[2],[3],[5],[6]] => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => 6
[[1,5,6],[2],[3],[4]] => ([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(3,14),(4,13),(5,7),(5,13),(5,17),(6,8),(6,14),(6,18),(7,15),(7,19),(8,16),(8,19),(9,15),(9,17),(9,19),(10,16),(10,18),(10,19),(11,12),(11,15),(11,16),(11,19),(12,17),(12,18),(12,19),(13,15),(13,19),(14,16),(14,19),(15,17),(15,18),(16,17),(16,18),(17,19),(18,19)],20) => 10
[[1,5],[2,6],[3],[4]] => ([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(4,12),(5,11),(6,13),(6,14),(7,9),(7,14),(8,10),(8,14),(9,11),(9,13),(10,12),(10,13),(11,14),(12,14),(13,14)],15) => 9
[[1,5],[2],[3],[4],[6]] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => 6
[[1,6],[2],[3],[4],[5]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => 6
[[1],[2],[3],[4],[5],[6]] => ([],1) => ([],1) => 1
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Generating function
$F_{(2, 2)} = q + q^{2} + q^{3}$
$F_{(2, 3)} = q^{2} + 2\ q^{3} + q^{4} + q^{5}$
$F_{(3, 2)} = q + 2\ q^{2} + q^{3} + q^{4}$
$F_{(2, 4)} = q^{3} + 2\ q^{4} + 2\ q^{5} + q^{6} + q^{7}$
$F_{(3, 3)} = q + q^{2} + 3\ q^{3} + 3\ q^{4} + 3\ q^{5} + q^{6} + q^{7}$
$F_{(4, 2)} = 2\ q + 2\ q^{2} + 2\ q^{3} + q^{4} + q^{5}$
$F_{(2, 5)} = q^{4} + 2\ q^{5} + 2\ q^{6} + 2\ q^{7} + q^{8} + q^{9}$
$F_{(3, 4)} = q^{2} + 2\ q^{3} + 4\ q^{4} + 4\ q^{5} + 5\ q^{6} + 4\ q^{7} + 3\ q^{8} + q^{9} + q^{10}$
$F_{(4, 3)} = q + 3\ q^{2} + 6\ q^{3} + 5\ q^{4} + 6\ q^{5} + 4\ q^{6} + 3\ q^{7} + q^{8} + q^{9}$
$F_{(5, 2)} = 2\ q + 3\ q^{2} + 2\ q^{3} + 2\ q^{4} + q^{5} + q^{6}$
$F_{(2, 6)} = q^{5} + 2\ q^{6} + 2\ q^{7} + 2\ q^{8} + 2\ q^{9} + q^{10} + q^{11}$
$F_{(3, 5)} = q^{3} + 2\ q^{4} + 5\ q^{5} + 5\ q^{6} + 7\ q^{7} + 6\ q^{8} + 6\ q^{9} + 4\ q^{10} + 3\ q^{11} + q^{12} + q^{13}$
$F_{(4, 4)} = q + q^{2} + 4\ q^{3} + 8\ q^{4} + 11\ q^{5} + 12\ q^{6} + 13\ q^{7} + 9\ q^{8} + 8\ q^{9} + 5\ q^{10} + 3\ q^{11} + q^{12} + q^{13}$
$F_{(5, 3)} = 2\ q + 4\ q^{2} + 9\ q^{3} + 8\ q^{4} + 10\ q^{5} + 8\ q^{6} + 7\ q^{7} + 4\ q^{8} + 3\ q^{9} + q^{10} + q^{11}$
$F_{(6, 2)} = 3\ q + 3\ q^{2} + 3\ q^{3} + 2\ q^{4} + 2\ q^{5} + q^{6} + q^{7}$
Description
The cardinality of a maximal independent set of vertices of a graph.
An independent set of a graph is a set of pairwise non-adjacent vertices. A maximum independent set is an independent set of maximum cardinality. This statistic is also called the independence number or stability number $\alpha(G)$ of $G$.
An independent set of a graph is a set of pairwise non-adjacent vertices. A maximum independent set is an independent set of maximum cardinality. This statistic is also called the independence number or stability number $\alpha(G)$ of $G$.
Map
subcrystal
Description
The underlying poset of the subcrystal obtained by applying the raising operators to a semistandard tableau.
Map
incomparability graph
Description
The incomparability graph of a poset.
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