Identifier
Mp00119: to 321-avoiding permutation (Krattenthaler)Permutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00208: Permutations lattice of intervals
Images
=>
Cc0005;cc-rep-0Cc0029;cc-rep-3
[1,0]=>[1]=>[1]=>([(0,1)],2) [1,0,1,0]=>[1,2]=>[1,2]=>([(0,1),(0,2),(1,3),(2,3)],4) [1,1,0,0]=>[2,1]=>[2,1]=>([(0,1),(0,2),(1,3),(2,3)],4) [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,0]=>[1,3,2]=>[1,3,2]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,1,0,0]=>[2,3,1]=>[3,2,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0]=>[3,1,2]=>[2,3,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11) [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[1,2,4,3]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[1,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>[1,3,4,2]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>[3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>[3,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>[2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>[2,3,4,1]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16) [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13) [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13) [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12) [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11) [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13) [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11) [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12) [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11) [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>[1,3,4,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11) [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10) [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>[1,3,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11) [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13) [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11) [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11) [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>[2,1,4,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10) [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12) [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11) [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12) [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,2,3,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>[3,2,4,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>[4,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>[3,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10) [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>[3,2,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11) [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11) [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>[2,3,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10) [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>[3,4,1,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10) [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>[3,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>[3,4,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>[2,4,3,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>[4,5,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11) [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>[2,5,3,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>[2,4,3,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11) [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11) [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>[2,4,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>[4,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10) [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>[2,3,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11) [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>[2,3,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13) [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22) [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18) [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18) [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16) [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15) [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(2,17),(3,13),(4,12),(5,12),(5,15),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,14),(16,9),(16,14),(17,15),(17,16)],18) [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15) [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16) [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,12),(4,13),(5,13),(6,9),(6,12),(8,9),(9,7),(10,8),(11,8),(12,7),(13,10),(13,11)],14) [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15) [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13) [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14) [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18) [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15) [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,13),(5,14),(6,14),(8,7),(9,7),(10,8),(11,9),(12,8),(12,9),(13,10),(13,12),(14,11),(14,12)],15) [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14) [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13) [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16) [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14) [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,8),(3,11),(4,10),(5,13),(6,13),(8,12),(9,12),(10,7),(11,7),(12,10),(12,11),(13,8),(13,9)],14) [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,7),(6,11),(6,12),(8,7),(9,8),(10,8),(11,13),(12,13),(13,9),(13,10)],14) [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12) [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13) [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12) [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13) [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15) [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13) [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,12),(10,12),(11,9),(11,10)],13) [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10) [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13) [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13) [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12) [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13) [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,13),(6,11),(6,12),(8,13),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14) [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10) [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12) [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13) [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15) [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18) [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,12),(3,13),(4,13),(5,11),(5,14),(6,10),(6,14),(8,7),(9,7),(10,8),(11,9),(12,10),(13,11),(14,8),(14,9)],15) [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15) [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14) [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13) [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15) [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13) [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14) [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13) [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>[2,1,5,4,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12) [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13) [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12) [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>[2,1,4,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12) [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13) [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16) [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14) [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14) [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14) [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>[3,2,1,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13) [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,12),(4,13),(5,13),(6,9),(6,12),(8,9),(9,7),(10,8),(11,8),(12,7),(13,10),(13,11)],14) [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13) [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,7),(6,11),(6,12),(8,7),(9,8),(10,8),(11,13),(12,13),(13,9),(13,10)],14) [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,15),(6,13),(6,15),(8,14),(9,14),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,9)],16) [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12) [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12) [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13) [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>[3,2,4,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12) [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>[4,2,5,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12) [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12) [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,11),(9,12),(11,12),(12,10)],13) [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13) [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>[3,2,5,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10) [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>[5,2,4,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13) [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15) [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15) [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13) [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13) [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>[2,3,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13) [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12) [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[3,5,1,4,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>[3,5,1,4,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>[3,4,1,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10) [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>[3,4,1,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10) [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>[3,4,1,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10) [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>[2,4,3,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12) [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>[4,5,3,1,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13) [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>[4,5,3,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10) [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12) [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13) [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,10),(6,11),(7,11),(8,12),(9,12),(11,8),(11,9),(12,10)],13) [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13) [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>[2,5,3,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>[5,4,3,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,11),(9,12),(11,12),(12,10)],13) [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15) [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14) [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[2,4,5,1,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10) [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>[2,4,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>[2,4,5,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>[4,3,5,1,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12) [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14) [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>[4,3,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>[4,3,5,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10) [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13) [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>[2,5,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10) [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>[5,3,6,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10) [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13) [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15) [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15) [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>[2,3,5,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>[2,5,4,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10) [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>[5,3,4,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12) [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15) [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,14),(7,18),(9,12),(10,9),(11,13),(12,8),(13,8),(14,11),(15,10),(16,12),(16,13),(17,9),(17,16),(18,11),(18,16),(19,10),(19,17)],20) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,14),(5,20),(6,19),(6,20),(7,15),(7,16),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,18),(16,18),(17,11),(17,12),(18,13),(18,19),(19,10),(19,17),(20,9),(20,17)],21) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,17),(3,17),(4,14),(5,13),(6,15),(6,16),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,13),(17,14)],18) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,12),(10,8),(11,8),(12,10),(13,11),(14,9),(15,9),(16,10),(16,11)],17) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,14),(4,18),(5,18),(6,13),(7,14),(7,17),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,10),(15,16),(16,11),(16,12),(17,9),(17,16),(18,15),(18,17),(19,13),(19,15)],20) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,16),(4,14),(5,14),(6,12),(7,13),(7,15),(9,10),(10,8),(11,8),(12,9),(13,11),(14,12),(15,10),(15,11),(16,9),(16,15)],17) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,15),(5,16),(6,13),(6,19),(7,14),(7,20),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,17),(16,17),(17,19),(17,20),(18,11),(18,12),(19,9),(19,18),(20,10),(20,18)],21) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,12),(6,17),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,16),(14,16),(15,9),(16,9),(16,17),(17,10),(17,11)],18) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,17),(6,17),(7,14),(7,16),(9,8),(10,8),(11,15),(12,15),(13,9),(14,10),(15,13),(15,16),(16,9),(16,10),(17,11),(17,12)],18) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,11),(6,13),(6,14),(7,10),(7,15),(9,10),(10,8),(11,9),(12,9),(13,16),(14,16),(15,8),(16,11),(16,12)],17) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(7,12),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,19),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,14),(4,13),(5,13),(6,11),(7,12),(7,16),(9,8),(10,8),(11,10),(12,9),(13,15),(14,15),(15,11),(15,16),(16,9),(16,10)],17) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,15),(4,15),(5,13),(6,10),(6,11),(7,12),(7,13),(9,12),(10,9),(11,9),(12,8),(13,8),(14,11),(15,10)],16) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,15),(6,15),(7,10),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,8),(15,12),(15,13)],16) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,10),(6,10),(7,9),(7,12),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,13),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(2,18),(3,19),(4,19),(5,14),(6,13),(7,16),(7,17),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12),(16,9),(16,15),(17,10),(17,15),(18,13),(18,16),(19,14),(19,17)],20) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,15),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,10),(16,11),(17,13),(17,16)],18) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,12),(6,13),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,13),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,14),(4,18),(5,18),(6,13),(7,14),(7,17),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,10),(15,16),(16,11),(16,12),(17,9),(17,16),(18,15),(18,17),(19,13),(19,15)],20) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,12),(4,15),(5,15),(6,16),(7,16),(9,10),(10,8),(11,8),(12,11),(13,9),(14,10),(14,11),(15,9),(15,14),(16,12),(16,14)],17) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,17),(6,17),(7,13),(7,14),(9,8),(10,8),(11,9),(12,10),(13,15),(14,15),(15,12),(15,16),(16,9),(16,10),(17,11),(17,16)],18) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,15),(9,10),(10,8),(11,9),(12,9),(13,8),(14,11),(14,12),(15,10),(15,13)],16) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(10,13),(11,14),(12,13),(13,14)],15) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,11),(10,8),(11,10),(12,8),(13,9),(14,9),(15,10),(15,12)],16) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,14),(5,20),(6,19),(6,20),(7,15),(7,16),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,18),(16,18),(17,11),(17,12),(18,13),(18,19),(19,10),(19,17),(20,9),(20,17)],21) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,11),(6,17),(7,13),(7,14),(9,8),(10,8),(11,10),(12,9),(13,16),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,17),(6,17),(7,13),(7,14),(9,8),(10,8),(11,9),(12,10),(13,15),(14,15),(15,12),(15,16),(16,9),(16,10),(17,11),(17,16)],18) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,10),(10,8),(11,8),(12,9),(13,9),(14,16),(15,16),(16,10),(16,11)],17) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,8),(12,15),(13,15),(14,10),(15,9),(15,11)],16) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,17),(6,17),(7,14),(7,16),(9,8),(10,8),(11,15),(12,15),(13,9),(14,10),(15,13),(15,16),(16,9),(16,10),(17,11),(17,12)],18) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,15),(5,15),(6,13),(7,13),(9,8),(10,14),(11,14),(12,8),(13,9),(14,9),(14,12),(15,10),(15,11)],16) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,14),(6,13),(7,13),(7,14),(9,15),(10,15),(11,8),(12,8),(13,16),(14,16),(15,11),(15,12),(16,9),(16,10)],17) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,17),(7,15),(7,17),(9,16),(10,16),(11,8),(12,11),(13,11),(14,9),(15,10),(16,12),(16,13),(17,9),(17,10)],18) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,12),(6,13),(7,11),(8,12),(9,14),(10,14),(11,13),(12,11),(13,9),(13,10)],15) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,8),(8,10),(9,10),(11,8),(11,9)],12) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(12,10),(12,11),(14,12)],15) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,10),(7,13),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,13),(7,11),(7,12),(8,12),(9,11),(11,14),(12,14),(13,10),(14,13)],15) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,16),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,14),(4,13),(5,13),(6,11),(7,12),(7,16),(9,8),(10,8),(11,10),(12,9),(13,15),(14,15),(15,11),(15,16),(16,9),(16,10)],17) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,12),(11,14),(12,14),(13,11),(13,12)],15) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,8),(8,10),(9,10),(11,8),(11,9)],12) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,14),(4,14),(5,12),(6,11),(7,9),(7,10),(9,15),(10,15),(11,8),(12,8),(13,10),(14,9),(15,11),(15,12)],16) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,12),(6,13),(7,11),(8,12),(9,14),(10,14),(11,13),(12,11),(13,9),(13,10)],15) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,12),(10,12),(10,13),(12,14),(13,14),(14,11)],15) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,9),(6,13),(7,12),(8,13),(10,14),(11,14),(12,9),(13,10),(13,11),(14,12)],15) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,15),(6,15),(7,14),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(14,13),(15,10),(15,11)],16) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,12),(6,11),(7,10),(8,14),(9,10),(10,14),(11,13),(12,13),(14,11),(14,12)],15) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,15),(7,12),(7,13),(9,11),(10,11),(11,8),(12,9),(13,9),(14,10),(15,10)],16) [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,10),(7,13),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,9),(8,10),(10,9),(11,10)],12) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,17),(6,14),(6,16),(7,15),(7,16),(9,17),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(10,13),(12,10),(13,11)],14) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,16),(4,16),(5,14),(5,19),(6,13),(6,18),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,13),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,15),(6,13),(6,17),(7,12),(7,17),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,13),(17,10),(17,11)],18) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,13),(4,13),(5,14),(6,14),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,12),(15,10),(15,11),(16,9),(16,15)],17) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,11),(6,17),(7,13),(7,14),(9,8),(10,8),(11,10),(12,9),(13,16),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,10),(7,11),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,12),(15,13)],16) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,4,6]=>[2,1,3,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,16),(15,9),(15,10),(16,12),(16,15)],17) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,4,5]=>[2,1,3,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,12),(10,8),(11,8),(12,10),(13,9),(14,9),(15,11)],16) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,14),(7,18),(9,12),(10,9),(11,13),(12,8),(13,8),(14,11),(15,10),(16,12),(16,13),(17,9),(17,16),(18,11),(18,16),(19,10),(19,17)],20) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,13),(4,13),(5,14),(6,14),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,12),(15,10),(15,11),(16,9),(16,15)],17) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,12),(4,15),(5,15),(6,16),(7,16),(9,10),(10,8),(11,8),(12,11),(13,9),(14,10),(14,11),(15,9),(15,14),(16,12),(16,14)],17) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,10),(15,11)],16) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,12),(9,12),(9,14),(10,11),(11,14),(12,13),(14,13)],15) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,12),(6,17),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,16),(14,16),(15,9),(16,9),(16,17),(17,10),(17,11)],18) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,14),(4,14),(5,12),(6,11),(7,11),(7,12),(9,8),(10,8),(11,15),(12,15),(13,10),(14,9),(15,9),(15,10)],16) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,15),(5,15),(6,13),(7,13),(9,8),(10,14),(11,14),(12,8),(13,9),(14,9),(14,12),(15,10),(15,11)],16) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,9),(12,15),(13,15),(14,8),(15,10),(15,11)],16) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,3,6]=>[2,1,6,4,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,7]=>[2,1,5,4,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11) [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,3,5]=>[2,1,5,4,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,12),(11,13),(12,11)],14) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,3,5,6]=>[2,1,5,4,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,14),(9,13),(10,11),(11,13),(11,14),(13,12),(14,12)],15) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,12),(11,14),(12,14),(13,11),(13,12)],15) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,7,4,6]=>[2,1,5,6,3,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,3,4,7]=>[2,1,4,6,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,11),(11,14),(12,14),(14,13)],15) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,3,4]=>[2,1,4,7,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,3,4,6]=>[2,1,4,6,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,13),(9,10),(9,11),(10,14),(11,14),(12,13),(14,12)],15) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,7,5]=>[2,1,4,6,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,7,4,5]=>[2,1,6,5,7,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,13),(9,12),(10,11),(11,13),(13,12)],14) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,3,4,5]=>[2,1,4,5,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,15),(6,13),(6,17),(7,12),(7,17),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,13),(17,10),(17,11)],18) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,15),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,10),(16,11),(17,13),(17,16)],18) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,11),(5,12),(6,15),(6,16),(7,13),(7,14),(9,11),(10,12),(11,8),(12,8),(13,9),(14,9),(15,10),(16,10)],17) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,9),(14,9),(15,12)],16) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,10),(15,11)],16) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,10),(10,8),(11,8),(12,9),(13,9),(14,16),(15,16),(16,10),(16,11)],17) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,8),(10,8),(11,9),(12,9),(13,10),(14,10),(15,11),(15,12)],16) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,4,6]=>[3,2,1,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,10),(7,11),(8,12),(9,12),(10,13),(11,13),(12,14),(13,14)],15) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,4,5]=>[3,2,1,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,11),(10,8),(11,8),(12,10),(13,10),(14,9),(15,9)],16) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,17),(3,17),(4,14),(5,13),(6,15),(6,16),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,13),(17,14)],18) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,10),(7,11),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,12),(15,13)],16) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,15),(9,10),(10,8),(11,9),(12,9),(13,8),(14,11),(14,12),(15,10),(15,13)],16) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,8),(10,8),(11,9),(12,9),(13,10),(14,10),(15,11),(15,12)],16) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,5,6]=>[4,2,3,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,12),(9,10),(9,11),(10,13),(11,13),(12,14),(13,14)],15) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,11),(6,13),(6,14),(7,10),(7,15),(9,10),(10,8),(11,9),(12,9),(13,16),(14,16),(15,8),(16,11),(16,12)],17) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,9),(12,15),(13,15),(14,8),(15,10),(15,11)],16) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,17),(7,15),(7,17),(9,16),(10,16),(11,8),(12,11),(13,11),(14,9),(15,10),(16,12),(16,13),(17,9),(17,10)],18) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,19),(5,20),(6,15),(6,19),(7,16),(7,20),(9,11),(10,12),(11,18),(12,18),(13,8),(14,8),(15,9),(16,10),(17,11),(17,12),(18,13),(18,14),(19,9),(19,17),(20,10),(20,17)],21) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>[6,2,3,4,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,1,5,7]=>[5,2,3,4,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>[5,2,3,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[5,2,3,4,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,1,4,6,7]=>[4,2,3,5,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6]=>[4,2,3,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,7,4,6]=>[5,2,3,6,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,1,4,7]=>[4,2,3,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>[4,2,3,7,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,12),(6,11),(7,10),(8,11),(9,12),(11,13),(12,13),(13,10)],14) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[4,2,3,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,12),(7,10),(8,12),(9,11),(9,13),(11,14),(12,13),(13,14),(14,10)],15) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,7]=>[4,2,3,5,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,7,5]=>[4,2,3,6,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[6,2,3,5,7,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[4,2,3,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,13),(7,10),(7,12),(8,12),(9,13),(10,14),(12,14),(13,10),(14,11)],15) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6]=>[4,2,3,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[3,2,4,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,7]=>[3,2,4,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,7,5]=>[3,2,4,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,7,5,6]=>[3,2,4,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,13),(11,13),(12,10)],14) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,1,5,7,3,6]=>[4,2,6,1,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,7]=>[4,2,5,1,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,7,3,5]=>[4,2,5,1,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,7,3,5,6]=>[4,2,5,1,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,6,7]=>[3,2,5,4,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(7,12),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6]=>[3,2,5,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,12),(11,13),(12,11)],14) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6]=>[5,2,6,4,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,1,3,7]=>[3,2,6,4,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,1,3]=>[3,2,7,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[3,2,6,4,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,7]=>[3,2,5,4,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,7,5]=>[3,2,6,4,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[6,2,5,4,7,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[3,2,5,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,12),(10,12),(10,13),(12,14),(13,14),(14,11)],15) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,1,3,5,6]=>[3,2,5,4,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,13),(7,15),(9,10),(10,12),(11,12),(12,8),(13,11),(14,9),(15,10),(15,11),(16,9),(16,15)],17) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[3,2,4,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,6,4,7]=>[3,2,5,6,1,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,6,7,4]=>[3,2,5,7,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,1,3,7,4,6]=>[3,2,5,6,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,6,3,4,7]=>[5,2,4,6,1,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,6,7,3,4]=>[5,2,4,7,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,1,7,3,4,6]=>[5,2,4,6,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,1,3,4,7]=>[3,2,4,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,13),(7,11),(7,12),(8,12),(9,11),(11,14),(12,14),(13,10),(14,13)],15) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,1,3,7,4]=>[3,2,6,7,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[6,2,4,7,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[3,2,4,7,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,13),(7,10),(7,12),(8,12),(9,13),(10,14),(12,14),(13,10),(14,11)],15) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>[3,2,4,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,12),(7,15),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,9),(15,10),(16,13),(16,15)],17) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,7,5]=>[3,2,4,6,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,1,3,7,4,5]=>[3,2,6,5,7,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>[6,2,4,5,7,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>[3,2,4,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,15),(4,15),(5,8),(6,13),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,13),(16,9),(16,10)],17) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,12),(6,13),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,13),(15,9),(15,10),(16,12),(16,15)],17) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,6,7,5]=>[2,3,1,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,9),(14,9),(15,12)],16) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,12),(9,13),(10,14),(11,14),(12,10),(13,11)],15) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,16),(4,14),(5,14),(6,12),(7,13),(7,15),(9,10),(10,8),(11,8),(12,9),(13,11),(14,12),(15,10),(15,11),(16,9),(16,15)],17) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,12),(9,12),(9,14),(10,11),(11,14),(12,13),(14,13)],15) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,6,4,7]=>[2,3,1,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,8),(12,15),(13,15),(14,10),(15,9),(15,11)],16) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,4]=>[2,3,1,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,12),(9,10),(9,11),(10,13),(11,13),(12,14),(13,14)],15) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6]=>[2,3,1,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,13),(11,13),(12,10)],14) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,2,6,4,7,5]=>[2,3,1,6,7,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,6,7,4,5]=>[2,3,1,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,13),(11,13),(12,10)],14) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,12),(10,8),(11,8),(12,10),(13,11),(14,9),(15,9),(16,10),(16,11)],17) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(10,13),(11,14),(12,13),(13,14)],15) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,10),(7,11),(8,12),(9,12),(10,13),(11,13),(12,14),(13,14)],15) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,7,5,6]=>[3,4,1,2,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6]=>[3,6,1,4,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,7]=>[3,5,1,4,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,7,2,5]=>[3,5,1,4,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,7,2,5,6]=>[3,5,1,4,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[3,4,1,5,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6]=>[3,4,1,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6]=>[3,5,1,6,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,2,4,7]=>[3,4,1,6,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,2,4]=>[3,4,1,7,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6]=>[3,4,1,6,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,7]=>[3,4,1,5,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,6,2,4,7,5]=>[3,4,1,6,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,7,4,5]=>[3,6,1,5,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,6,7,2,4,5]=>[3,4,1,5,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6]=>[3,4,1,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[2,4,3,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,7]=>[2,4,3,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,7,5]=>[2,4,3,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,1,2,7,5,6]=>[2,4,3,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,13),(11,13),(12,10)],14) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,15),(4,15),(5,13),(6,10),(6,11),(7,12),(7,13),(9,12),(10,9),(11,9),(12,8),(13,8),(14,11),(15,10)],16) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,11),(11,14),(12,14),(14,13)],15) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6]=>[4,6,3,1,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,1,6,2,5,7]=>[4,5,3,1,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,7,2,5]=>[4,5,3,1,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,1,7,2,5,6]=>[4,5,3,1,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,6,7]=>[2,5,3,4,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6]=>[2,5,3,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,12),(10,12),(10,13),(12,14),(13,14),(14,11)],15) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,7,2,6]=>[5,6,3,4,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10),(10,11)],12) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,1,2,7]=>[2,6,3,4,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,14),(4,14),(5,12),(6,11),(7,11),(7,12),(9,8),(10,8),(11,15),(12,15),(13,10),(14,9),(15,9),(15,10)],16) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>[2,7,3,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17) [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[2,6,3,4,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,8),(7,13),(7,14),(9,15),(10,8),(11,10),(12,10),(13,9),(14,9),(15,11),(15,12)],16) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,7]=>[2,5,3,4,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,9),(6,13),(7,12),(8,13),(10,14),(11,14),(12,9),(13,10),(13,11),(14,12)],15) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,1,2,7,5]=>[2,6,3,4,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[6,5,3,4,7,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[2,5,3,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6]=>[2,5,3,4,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,6,7]=>[2,4,3,5,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,15),(6,15),(7,10),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,8),(15,12),(15,13)],16) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[2,4,3,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,13),(9,10),(9,11),(10,14),(11,14),(12,13),(14,12)],15) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,6,4,7]=>[2,5,3,6,1,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,6,7,4]=>[2,5,3,7,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6]=>[2,5,3,6,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,6,2,4,7]=>[5,4,3,6,1,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,6,7,2,4]=>[5,4,3,7,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6]=>[5,4,3,6,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>[2,4,3,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,1,2,7,4]=>[2,6,3,7,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[6,4,3,7,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[2,4,3,7,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,12),(7,10),(8,12),(9,11),(9,13),(11,14),(12,13),(13,14),(14,10)],15) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6]=>[2,4,3,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,15),(5,16),(6,16),(7,8),(9,11),(10,11),(11,8),(12,9),(13,10),(14,9),(14,10),(15,12),(15,14),(16,13),(16,14)],17) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>[2,4,3,5,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,1,2,4,7,5]=>[2,4,3,6,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,1,2,7,4,5]=>[2,6,3,5,7,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,1,7,2,4,5]=>[6,4,3,5,7,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,1,2,4,5]=>[2,4,3,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,12),(7,15),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,9),(15,10),(16,13),(16,15)],17) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[2,4,3,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,19),(3,19),(4,14),(5,8),(6,17),(6,18),(7,15),(7,18),(9,11),(10,12),(11,13),(12,13),(13,8),(14,10),(15,9),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,12),(10,8),(11,8),(12,10),(13,9),(14,9),(15,11)],16) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,11),(10,8),(11,10),(12,8),(13,9),(14,9),(15,10),(15,12)],16) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,7,5]=>[2,3,4,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,11),(10,8),(11,8),(12,10),(13,10),(14,9),(15,9)],16) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,5,3,6,7]=>[2,4,5,1,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6]=>[2,4,5,1,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,3,7]=>[2,4,6,1,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,3]=>[2,4,7,1,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6]=>[2,4,6,1,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,7]=>[2,4,5,1,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,7,5]=>[2,4,6,1,7,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,7,3,5]=>[2,4,5,1,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,7,3,5,6]=>[2,4,5,1,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[4,3,5,1,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,10),(6,10),(7,9),(7,12),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6]=>[4,3,5,1,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,13),(9,12),(10,11),(11,13),(13,12)],14) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,15),(7,12),(7,13),(9,11),(10,11),(11,8),(12,9),(13,9),(14,10),(15,10)],16) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6]=>[4,5,6,1,2,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,2,3,7]=>[4,3,6,1,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11) [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,2,3]=>[4,3,7,1,5,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6]=>[4,3,6,1,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>[4,3,5,1,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,7,5]=>[4,3,6,1,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,7,3,5]=>[4,6,5,1,7,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,7,2,3,5]=>[4,3,5,1,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6]=>[4,3,5,1,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[2,3,5,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,6,3,7]=>[2,5,6,4,1,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,6,7,3]=>[2,5,7,4,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6]=>[2,5,6,4,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>[5,3,6,4,1,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,9),(8,10),(10,9),(11,10)],12) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,11),(5,12),(6,15),(6,16),(7,13),(7,14),(9,11),(10,12),(11,8),(12,8),(13,9),(14,9),(15,10),(16,10)],17) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,1,6,7,2,3]=>[5,3,7,4,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6]=>[5,3,6,4,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,1,2,7,3]=>[2,6,7,4,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10),(10,11)],12) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[6,3,7,4,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[2,3,7,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6]=>[2,3,6,4,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>[2,3,5,4,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>[2,3,6,4,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,7,3,5]=>[2,6,5,4,7,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,7,2,3,5]=>[6,3,5,4,7,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,1,2,3,5]=>[2,3,5,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,13),(7,15),(9,10),(10,12),(11,12),(12,8),(13,11),(14,9),(15,10),(15,11),(16,9),(16,15)],17) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[2,3,5,4,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,14),(5,8),(6,14),(6,17),(7,15),(7,18),(9,13),(10,13),(11,9),(12,10),(13,8),(14,11),(15,12),(16,9),(16,10),(17,11),(17,16),(18,12),(18,16),(19,17),(19,18)],20) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>[2,3,5,6,1,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>[2,3,5,7,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>[2,3,5,6,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>[2,5,4,6,1,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,6,3,7,4]=>[2,5,6,7,1,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,6,7,3,4]=>[2,5,4,7,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6]=>[2,5,4,6,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>[5,3,4,6,1,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(10,13),(12,10),(13,11)],14) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>[5,3,6,7,1,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,6,2,7,3,4]=>[5,6,4,7,1,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15) [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,6,7,2,3,4]=>[5,3,4,7,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6]=>[5,3,4,6,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17) [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>[2,3,6,7,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,1,2,7,3,4]=>[2,6,4,7,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,1,7,2,3,4]=>[6,3,4,7,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[2,3,4,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,19),(3,19),(4,14),(5,8),(6,17),(6,18),(7,15),(7,18),(9,11),(10,12),(11,13),(12,13),(13,8),(14,10),(15,9),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>[2,3,4,6,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>[2,3,6,5,7,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>[2,6,4,5,7,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1,7,2,3,4,5]=>[6,3,4,5,7,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,17),(5,16),(6,15),(6,20),(7,16),(7,21),(8,20),(8,21),(10,15),(11,13),(12,14),(13,9),(14,9),(15,11),(16,12),(17,10),(18,10),(19,13),(19,14),(20,11),(20,19),(21,12),(21,19)],22) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,17),(3,16),(4,15),(5,14),(6,17),(6,18),(7,16),(7,20),(8,13),(8,20),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,19),(18,19),(19,14),(19,15),(20,11),(20,12)],21) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19) [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,17),(3,17),(4,16),(5,16),(6,14),(7,15),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,11),(16,10),(17,10),(18,11),(18,12)],19) [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20) [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,9),(5,11),(6,11),(7,9),(7,10),(8,10),(8,12),(9,13),(10,13),(10,14),(11,16),(12,14),(13,15),(14,15),(16,12)],17) [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19) [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,19),(3,19),(4,16),(5,15),(6,14),(7,17),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,10),(16,10),(17,11),(18,11),(18,12),(19,15),(19,16)],20) [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22) [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,18),(4,18),(5,16),(6,16),(7,13),(8,15),(8,17),(10,11),(11,9),(12,9),(13,14),(14,10),(15,12),(16,13),(17,11),(17,12),(18,10),(18,17)],19) [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,19),(4,16),(5,15),(6,17),(7,15),(7,16),(8,17),(8,18),(10,12),(11,14),(12,9),(13,9),(14,10),(15,11),(16,11),(17,13),(18,12),(18,13),(19,10),(19,18)],20) [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,13),(11,10),(12,9),(13,12),(14,11),(15,10),(16,9),(17,14)],18) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,15),(3,18),(4,18),(5,16),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,10),(12,10),(13,11),(14,9),(15,14),(16,12),(17,9),(18,13),(19,11),(19,12)],20) [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(8,12),(9,13),(10,14),(11,14),(12,13),(14,12)],15) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,21),(3,17),(4,17),(5,16),(6,15),(7,15),(7,19),(8,16),(8,20),(10,12),(11,13),(12,9),(13,9),(14,21),(15,10),(16,11),(17,14),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18),(21,19),(21,20)],22) [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,16),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,11),(14,15),(15,12),(16,14),(17,10),(17,11),(18,13),(18,17)],19) [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,19),(5,14),(6,15),(7,16),(7,17),(8,13),(8,18),(10,14),(11,9),(12,9),(13,11),(14,13),(15,12),(16,10),(17,10),(18,11),(18,12),(19,15),(19,18)],20) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,19),(4,19),(5,20),(6,20),(7,15),(8,14),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,14),(19,16),(20,15),(20,17),(21,16),(21,17)],22) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,9),(11,9),(12,10),(13,11),(14,18),(15,18),(16,19),(17,19),(18,12),(18,20),(19,13),(19,20),(20,10),(20,11)],21) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,18),(17,18),(18,11),(18,13)],19) [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19) [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13) [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,4,3,6,5,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,14),(11,15),(12,13),(14,16),(15,16),(16,12)],17) [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13) [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,13),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,13),(12,13),(13,11)],14) [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22) [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,2,3,6,8,5,7]=>[1,3,4,2,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,14),(7,12),(8,13),(9,14),(10,13),(11,16),(12,15),(13,12),(14,11),(14,15),(15,16)],17) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,13),(6,12),(7,17),(8,18),(10,9),(11,9),(12,10),(13,11),(14,17),(15,18),(16,10),(16,11),(17,12),(17,16),(18,13),(18,16)],19) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,17),(17,11),(17,13)],18) [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,14),(11,13),(12,13),(14,11),(14,12)],15) [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,10),(4,9),(5,11),(6,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(13,14),(14,12)],15) [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,16),(11,16),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,10),(17,11)],18) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,14),(4,13),(5,16),(6,15),(7,17),(8,15),(8,16),(10,11),(11,12),(12,17),(13,9),(14,9),(15,10),(16,10),(17,13),(17,14)],18) [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,14),(5,11),(6,10),(7,9),(8,9),(9,12),(10,13),(11,13),(12,14),(14,10),(14,11)],15) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,19),(3,17),(4,17),(5,15),(6,14),(7,16),(7,18),(8,13),(8,18),(10,19),(11,10),(12,10),(13,12),(14,9),(15,9),(16,11),(17,13),(18,11),(18,12),(19,14),(19,15)],20) [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,17),(7,14),(7,19),(8,13),(8,19),(10,15),(11,9),(12,9),(13,12),(14,11),(15,13),(16,10),(17,10),(18,14),(19,11),(19,12)],20) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,17),(6,17),(7,18),(8,18),(10,13),(11,12),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,11),(17,16),(18,10),(18,16)],19) [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,16),(6,16),(7,17),(8,17),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(16,12),(17,13),(17,14)],18) [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17) [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,9),(6,9),(7,12),(8,12),(9,13),(10,14),(11,14),(12,13),(12,15),(13,16),(14,15),(15,16)],17) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,17),(8,14),(8,15),(10,13),(11,9),(12,9),(13,11),(14,10),(15,10),(16,12),(17,11),(17,12)],18) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,13),(7,19),(8,14),(8,15),(10,11),(11,9),(12,9),(13,12),(14,18),(15,18),(16,10),(17,13),(18,10),(18,19),(19,11),(19,12)],20) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,9),(11,9),(12,16),(13,16),(14,11),(15,10),(16,10),(16,11),(17,12),(17,13)],18) [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13) [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,3,5,8,7]=>[2,1,5,4,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(13,15),(14,16),(15,16)],17) [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,3,8,5,7]=>[2,1,6,4,7,3,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,3,5,7]=>[2,1,5,4,7,6,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,15),(11,12),(11,14),(12,16),(13,15),(14,16),(16,13)],17) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,13),(10,13),(11,15),(12,14),(13,14),(13,15),(14,16),(15,16)],17) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13) [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,3,6,8,4,7]=>[2,1,5,7,3,6,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>[2,1,4,6,5,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(13,15),(14,16),(15,16)],17) [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,12),(6,12),(7,9),(8,9),(9,15),(10,14),(11,13),(12,13),(12,14),(13,16),(14,16),(16,15)],17) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>[2,1,7,6,5,8,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,11),(3,10),(4,9),(5,9),(6,12),(7,12),(8,10),(8,11),(9,16),(10,15),(11,15),(12,14),(13,16),(15,13),(16,14)],17) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,3,4,5,8,7]=>[2,1,4,5,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,13),(7,17),(8,13),(8,14),(10,17),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(17,11),(17,12)],18) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,13),(8,14),(10,12),(11,12),(12,9),(13,10),(14,10),(15,11),(16,11),(17,9)],18) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,3,7,8,4,5]=>[2,1,6,5,8,3,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,3,8,4,5,7]=>[2,1,6,5,7,3,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,13),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,12),(10,11),(11,13),(13,12)],14) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>[2,1,4,5,8,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,11),(7,11),(8,10),(8,14),(9,16),(10,15),(11,12),(12,14),(13,16),(14,15),(15,13)],17) [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,8,4,5,6]=>[2,1,7,5,6,8,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(14,15)],16) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,9),(16,13),(17,14),(18,9),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,18),(5,19),(6,16),(6,17),(7,14),(7,20),(8,15),(8,20),(10,14),(11,15),(12,9),(13,9),(14,12),(15,13),(16,10),(17,10),(18,11),(19,11),(20,12),(20,13)],21) [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,13),(8,20),(10,13),(11,9),(12,9),(13,12),(14,11),(15,10),(16,10),(17,19),(18,19),(19,14),(19,20),(20,11),(20,12)],21) [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,5,7]=>[3,2,1,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,11),(8,12),(10,12),(11,9),(12,9),(13,14),(14,11),(15,10),(16,10),(17,13)],18) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,5,6,7]=>[3,2,1,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,12),(8,13),(10,13),(11,14),(12,9),(13,9),(14,12),(15,10),(16,10),(17,11),(18,11)],19) [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,16),(3,15),(4,18),(5,18),(6,19),(7,19),(8,15),(8,16),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,10),(17,12),(17,13),(18,11),(18,17),(19,14),(19,17)],20) [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,18),(7,18),(8,15),(8,16),(10,11),(11,9),(12,17),(13,17),(14,9),(15,10),(16,10),(17,11),(17,14),(18,12),(18,13)],19) [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,8,4,6]=>[3,2,1,6,5,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,10),(4,9),(5,9),(6,12),(7,11),(8,11),(8,12),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17) [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,16),(6,16),(7,17),(8,17),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(16,12),(17,13),(17,14)],18) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,12),(16,13),(17,14),(17,15)],18) [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,13),(6,12),(7,11),(8,14),(9,14),(10,12),(10,13),(11,16),(12,15),(13,15),(14,11),(15,16)],17) [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,2,3,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,11),(13,11),(14,9),(15,10),(16,10),(17,12),(17,13)],18) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,17),(3,16),(4,15),(5,14),(6,17),(6,18),(7,16),(7,20),(8,13),(8,20),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,19),(18,19),(19,14),(19,15),(20,11),(20,12)],21) [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,18),(17,18),(18,12),(18,13)],19) [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[5,2,3,4,6,7,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20) [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,5,1,4,7,8,6]=>[4,2,3,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,11),(5,10),(6,9),(7,9),(8,10),(8,11),(9,12),(10,15),(11,15),(12,14),(13,16),(14,13),(15,16)],17) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,1,4,5,7,8]=>[4,2,3,5,6,1,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,13),(11,10),(12,9),(13,12),(14,11),(15,10),(16,9),(17,14)],18) [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,1,4,5,6,7]=>[4,2,3,5,6,7,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22) [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22) [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,15),(4,16),(5,16),(6,14),(7,13),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,10),(14,15),(15,13),(16,12),(17,14),(18,10),(18,11)],19) [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,4,1,3,5,7,6,8]=>[3,2,4,1,5,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,16),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,11),(14,15),(15,12),(16,14),(17,10),(17,11),(18,13),(18,17)],19) [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,3,5,7,8,6]=>[3,2,4,1,5,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,11),(8,12),(10,12),(11,9),(12,9),(13,14),(14,11),(15,10),(16,10),(17,13)],18) [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,1,3,5,8,6,7]=>[3,2,4,1,5,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,14),(6,15),(7,13),(8,11),(8,12),(9,14),(10,15),(11,16),(12,16),(13,12),(14,13),(15,11)],17) [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,3,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,18),(4,18),(5,16),(6,16),(7,13),(8,15),(8,17),(10,11),(11,9),(12,9),(13,14),(14,10),(15,12),(16,13),(17,11),(17,12),(18,10),(18,17)],19) [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17) [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,4,1,3,6,7,5,8]=>[3,2,4,1,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,13),(4,15),(5,14),(6,16),(7,16),(8,14),(8,15),(10,9),(11,12),(12,10),(13,9),(14,17),(15,17),(16,11),(17,10),(17,13)],18) [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,3,6,7,8,5]=>[3,2,4,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,13),(6,12),(7,11),(8,14),(9,14),(10,12),(10,13),(11,16),(12,15),(13,15),(14,11),(15,16)],17) [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,6,8,5,7]=>[3,2,4,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16) [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,4,1,3,7,5,6,8]=>[3,2,4,1,6,7,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,14),(7,12),(8,13),(9,14),(10,13),(11,16),(12,15),(13,12),(14,11),(14,15),(15,16)],17) [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>[3,2,4,1,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,14),(10,14),(11,12),(12,13),(13,15),(14,15)],16) [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,3,7,8,5,6]=>[3,2,4,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16) [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,3,8,5,6,7]=>[3,2,4,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17) [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,15),(6,9),(7,9),(7,10),(8,10),(8,11),(9,12),(10,12),(10,13),(11,13),(12,14),(13,14),(15,11)],16) [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13) [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,6,3,5,8,7]=>[4,2,5,1,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,8,5,7]=>[4,2,6,1,7,3,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,1,6,8,3,5,7]=>[4,2,5,1,7,6,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(10,11)],12) [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,1,3,6,7,8]=>[3,2,5,4,1,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,17),(3,17),(4,16),(5,16),(6,14),(7,15),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,11),(16,10),(17,10),(18,11),(18,12)],19) [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,1,3,7,8,6]=>[3,2,5,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,10),(4,9),(5,9),(6,12),(7,11),(8,11),(8,12),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17) [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13) [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13) [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,1,3,5,8,7]=>[3,2,5,4,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,15),(11,12),(11,14),(12,16),(13,15),(14,16),(16,13)],17) [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>[3,2,6,4,7,1,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,1,3,5,8]=>[3,2,5,4,7,6,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,14),(11,15),(12,13),(14,16),(15,16),(16,12)],17) [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[3,2,5,4,7,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,17),(5,17),(6,18),(7,18),(8,9),(10,13),(11,13),(12,10),(13,9),(14,11),(15,12),(16,10),(16,11),(17,12),(17,16),(18,14),(18,16)],19) [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,1,3,4,7,8,6]=>[3,2,4,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,9),(12,10),(13,9),(14,11),(15,11),(16,10),(17,12)],18) [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13) [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[5,2,4,7,1,8,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,1,3,7,8,4]=>[3,2,6,8,5,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,6,1,3,7,8,4,5]=>[3,2,6,5,8,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,1,3,8,4,5,7]=>[3,2,6,5,7,1,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(11,12)],13) [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>[3,2,4,7,8,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(11,13),(12,13)],14) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22) [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,18),(8,13),(8,18),(10,9),(11,9),(12,10),(13,11),(14,12),(15,13),(16,14),(17,15),(18,10),(18,11)],19) [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,4,6,8,5,7]=>[2,3,1,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,14),(6,15),(7,13),(8,11),(8,12),(9,14),(10,15),(11,16),(12,16),(13,12),(14,13),(15,11)],17) [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,2,4,7,5,8,6]=>[2,3,1,4,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(2,14),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,2,4,8,5,6,7]=>[2,3,1,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,11),(8,12),(10,13),(11,9),(12,9),(13,11),(14,12),(15,10),(16,10),(17,14)],18) [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,15),(4,13),(5,17),(6,17),(7,18),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,13),(16,11),(16,12),(17,14),(17,16),(18,10),(18,16)],19) [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,17),(5,16),(6,15),(6,20),(7,16),(7,21),(8,20),(8,21),(10,15),(11,13),(12,14),(13,9),(14,9),(15,11),(16,12),(17,10),(18,10),(19,13),(19,14),(20,11),(20,19),(21,12),(21,19)],22) [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,9),(6,9),(7,12),(8,12),(9,13),(10,14),(11,14),(12,13),(12,15),(13,16),(14,15),(15,16)],17) [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,2,6,8,5,7]=>[3,4,1,2,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,14),(10,14),(11,12),(12,13),(13,15),(14,15)],16) [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,12),(7,11),(8,11),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16) [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,8,5,6,7]=>[3,4,1,2,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,13),(4,13),(5,13),(6,13),(7,13),(8,10),(9,10),(9,11),(10,12),(11,12),(13,11)],14) [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13) [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,4,6,2,5,8,7]=>[3,5,1,4,6,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12) [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>[3,6,1,7,5,2,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,8,2,4]=>[3,4,1,8,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,12)],15) [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>[3,4,1,5,7,6,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(9,11),(9,12),(10,14),(11,13),(12,13),(13,14)],15) [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,8,4,5,6]=>[3,7,1,5,6,8,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>[3,4,1,5,6,7,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17) [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17) [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,1,2,6,8,5,7]=>[2,4,3,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16) [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>[2,4,3,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16) [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,1,2,8,5,6,7]=>[2,4,3,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13) [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11) [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,1,2,7,8,6]=>[2,5,3,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,11),(5,10),(6,9),(7,9),(8,10),(8,11),(9,12),(10,15),(11,15),(12,14),(13,16),(14,13),(15,16)],17) [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,17),(7,17),(8,13),(8,14),(10,13),(11,10),(12,10),(13,9),(14,9),(15,12),(16,11),(17,11),(17,12)],18) [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,12),(6,12),(7,9),(8,9),(9,15),(10,14),(11,13),(12,13),(12,14),(13,16),(14,16),(16,15)],17) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,8,3,4,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,15),(5,9),(6,17),(6,20),(7,18),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,16),(16,9),(17,13),(18,14),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22) [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13) [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[2,5,3,4,8,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,12),(7,13),(8,14),(9,13),(10,14),(12,16),(13,15),(14,12),(14,15),(15,16),(16,11)],17) [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,1,2,4,7,8,6]=>[2,4,3,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,10),(13,10),(14,9),(15,11),(16,11),(17,12),(17,13)],18) [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,5,1,6,2,4,7,8]=>[5,4,3,6,1,2,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,12),(12,9),(13,11),(14,10),(15,10),(16,9),(17,11)],18) [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>[5,4,3,6,1,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,11),(3,10),(4,9),(5,9),(6,12),(7,12),(8,10),(8,11),(9,16),(10,15),(11,15),(12,14),(13,16),(15,13),(16,14)],17) [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13) [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>[5,7,3,6,1,8,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>[6,4,3,5,8,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,12),(4,12),(5,12),(6,12),(7,10),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[2,7,3,5,8,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,1,2,4,5,6]=>[2,4,3,5,6,8,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,17),(5,16),(6,9),(7,19),(7,20),(8,15),(8,20),(10,12),(11,13),(12,14),(13,14),(14,9),(15,10),(16,11),(17,15),(18,12),(18,13),(19,11),(19,18),(20,10),(20,18),(21,16),(21,19)],22) [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,3,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,17),(7,14),(7,19),(8,13),(8,19),(10,15),(11,9),(12,9),(13,12),(14,11),(15,13),(16,10),(17,10),(18,14),(19,11),(19,12)],20) [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,19),(5,14),(6,15),(7,16),(7,17),(8,13),(8,18),(10,14),(11,9),(12,9),(13,11),(14,13),(15,12),(16,10),(17,10),(18,11),(18,12),(19,15),(19,18)],20) [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,3,5,7,8,6]=>[2,3,4,1,5,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,12),(8,13),(10,13),(11,14),(12,9),(13,9),(14,12),(15,10),(16,10),(17,11),(18,11)],19) [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,2,3,5,8,6,7]=>[2,3,4,1,5,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,11),(8,12),(10,13),(11,9),(12,9),(13,11),(14,12),(15,10),(16,10),(17,14)],18) [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,3,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,19),(4,16),(5,15),(6,17),(7,15),(7,16),(8,17),(8,18),(10,12),(11,14),(12,9),(13,9),(14,10),(15,11),(16,11),(17,13),(18,12),(18,13),(19,10),(19,18)],20) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,17),(8,14),(8,15),(10,13),(11,9),(12,9),(13,11),(14,10),(15,10),(16,12),(17,11),(17,12)],18) [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[2,3,4,1,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,18),(17,18),(18,11),(18,13)],19) [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,3,6,7,8,5]=>[2,3,4,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,11),(13,11),(14,9),(15,10),(16,10),(17,12),(17,13)],18) [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,1,2,3,6,8,5,7]=>[2,3,4,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[2,3,4,1,6,7,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,17),(17,11),(17,13)],18) [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,1,2,3,7,5,8,6]=>[2,3,4,1,7,8,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,1,2,3,7,8,5,6]=>[2,3,4,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,13),(12,9),(13,9),(14,10),(15,10),(16,11),(17,11)],18) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,8,3]=>[2,4,8,1,5,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13) [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,2,6,3,8,5,7]=>[2,4,6,1,7,3,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,18),(6,16),(6,17),(7,14),(7,15),(8,13),(8,18),(10,12),(11,12),(12,13),(13,9),(14,10),(15,10),(16,11),(17,11),(18,9)],19) [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,15),(7,16),(8,13),(8,14),(10,12),(11,12),(12,9),(13,10),(14,10),(15,11),(16,11),(17,9)],18) [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,5,6,2,3,7,8]=>[4,3,6,1,5,2,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14) [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,5,6,2,3,8,7]=>[4,3,6,1,5,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(12,11)],13) [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,8,2,3]=>[4,3,8,1,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,12),(10,12),(11,13),(12,13)],14) [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>[4,3,7,1,5,6,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,6,2,3,5,8,7]=>[4,3,5,1,6,2,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,13),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,12),(10,11),(11,13),(13,12)],14) [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,6,2,3,7,5,8]=>[4,3,6,1,7,2,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12) [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,1,6,2,3,8,5,7]=>[4,3,6,1,7,2,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,6,2,7,3,5,8]=>[4,6,5,1,7,2,3,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,13),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,13),(12,13),(13,11)],14) [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,1,6,8,2,3,5,7]=>[4,3,5,1,7,6,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(11,13),(12,13)],14) [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,5,1,2,3,7,8,6]=>[2,3,5,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,9),(12,10),(13,9),(14,11),(15,11),(16,10),(17,12)],18) [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,5,1,6,2,3,7,8]=>[5,3,6,4,1,2,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(8,11),(9,12),(10,13),(11,13),(12,11),(14,12)],15) [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,9),(6,13),(6,14),(7,17),(7,18),(8,15),(8,16),(10,13),(11,14),(12,9),(13,12),(14,12),(15,10),(16,10),(17,11),(18,11)],19) [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>[5,3,6,4,1,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>[2,3,6,4,5,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,11),(7,11),(8,10),(8,14),(9,16),(10,15),(11,12),(12,14),(13,16),(14,15),(15,13)],17) [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,1,8,2,3,7]=>[6,3,7,4,5,1,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,9),(8,9),(9,11),(11,10)],12) [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[2,3,7,4,5,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,17),(4,16),(5,15),(6,9),(7,16),(7,17),(8,15),(8,18),(10,19),(11,13),(12,13),(13,9),(14,11),(15,12),(16,10),(17,10),(18,11),(18,12),(19,14),(19,18)],20) [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[2,7,6,4,5,8,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,14),(5,9),(6,10),(7,10),(8,9),(8,11),(9,13),(10,11),(11,13),(12,14),(13,12)],15) [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,1,7,8,2,3,5]=>[6,3,5,4,8,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,12),(4,12),(5,12),(6,12),(7,10),(8,11),(9,11),(10,12),(11,10)],13) [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>[7,3,5,4,8,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,13),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,12),(10,11),(11,13),(13,12)],14) [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,1,2,3,5,7]=>[2,3,5,4,7,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,16),(4,20),(5,20),(6,15),(7,9),(8,16),(8,19),(10,12),(11,14),(12,14),(13,11),(14,9),(15,13),(16,10),(17,13),(17,18),(18,11),(18,12),(19,10),(19,18),(20,17),(20,19),(21,15),(21,17)],22) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22) [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,1,2,3,4,7,8,6]=>[2,3,4,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,10),(12,10),(13,9),(14,9),(15,13),(16,13),(17,11),(18,12),(19,11),(19,12)],20) [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[2,5,4,6,1,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,12),(4,12),(5,9),(6,9),(7,10),(8,10),(9,11),(10,12),(11,12)],13) [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,6,2,3,7,4,8]=>[5,3,6,7,1,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13) [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,6,2,3,8,4,7]=>[5,3,6,7,1,2,8,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12) [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,6,2,7,3,4,8]=>[5,6,4,7,1,2,3,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,13),(13,14),(14,16),(15,16),(16,12)],17) [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,16),(5,20),(6,17),(6,20),(7,18),(7,21),(8,19),(8,21),(10,15),(11,15),(12,14),(13,14),(14,9),(15,9),(16,10),(17,11),(18,12),(19,13),(20,10),(20,11),(21,12),(21,13)],22) [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,6,7,2,3,8,4]=>[5,3,7,8,1,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>[2,3,4,5,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,9),(16,13),(17,14),(18,9),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[6,3,4,5,7,1,8,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,14),(4,14),(5,14),(6,10),(7,9),(8,9),(8,10),(9,13),(10,13),(11,12),(12,14),(13,11)],15) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,8,6]=>[2,3,4,5,7,8,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17) [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(2,15),(3,18),(4,17),(5,20),(6,19),(7,17),(7,18),(8,15),(8,16),(9,19),(9,20),(11,13),(12,14),(13,10),(14,10),(15,11),(16,11),(17,12),(18,12),(19,21),(20,21),(21,13),(21,14)],22) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>[2,3,4,5,6,8,9,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,17),(4,16),(5,11),(6,11),(7,16),(7,19),(8,17),(8,20),(9,19),(9,20),(10,21),(11,21),(12,14),(13,15),(14,10),(15,10),(16,12),(17,13),(18,14),(18,15),(19,12),(19,18),(20,13),(20,18)],22) [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(2,17),(3,16),(4,16),(5,15),(6,19),(7,19),(8,20),(9,20),(11,13),(12,14),(13,10),(14,10),(15,12),(16,11),(17,15),(18,13),(18,14),(19,11),(19,18),(20,12),(20,18)],21) [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,20),(2,20),(3,20),(4,20),(5,20),(6,15),(7,15),(7,18),(8,16),(8,19),(9,18),(9,19),(11,13),(12,14),(13,10),(14,10),(15,11),(16,12),(17,13),(17,14),(18,11),(18,17),(19,12),(19,17),(20,16)],21) [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,5,1,6,2,7,8,9]=>[5,6,3,4,1,2,7,8,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,18),(4,18),(5,19),(6,19),(7,17),(8,16),(8,20),(9,17),(9,20),(11,16),(12,11),(13,11),(14,10),(15,10),(16,14),(17,15),(18,13),(19,12),(20,14),(20,15),(21,12),(21,13)],22)
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
lattice of intervals
Description
The lattice of intervals of a permutation.
An interval of a permutation $\pi$ is a possibly empty interval of values that appear in consecutive positions of $\pi$. The lattice of intervals of $\pi$ has as elements the intervals of $\pi$, ordered by set inclusion.