Identifier
Images
=>
Cc0009;cc-rep-1
[1]=>{{1}}
[1,2]=>{{1},{2}}
[2,1]=>{{1,2}}
[1,2,3]=>{{1},{2},{3}}
[1,3,2]=>{{1},{2,3}}
[2,1,3]=>{{1,2},{3}}
[2,3,1]=>{{1,2,3}}
[3,1,2]=>{{1,3},{2}}
[3,2,1]=>{{1,3},{2}}
[1,2,3,4]=>{{1},{2},{3},{4}}
[1,2,4,3]=>{{1},{2},{3,4}}
[1,3,2,4]=>{{1},{2,3},{4}}
[1,3,4,2]=>{{1},{2,3,4}}
[1,4,2,3]=>{{1},{2,4},{3}}
[1,4,3,2]=>{{1},{2,4},{3}}
[2,1,3,4]=>{{1,2},{3},{4}}
[2,1,4,3]=>{{1,2},{3,4}}
[2,3,1,4]=>{{1,2,3},{4}}
[2,3,4,1]=>{{1,2,3,4}}
[2,4,1,3]=>{{1,2,4},{3}}
[2,4,3,1]=>{{1,2,4},{3}}
[3,1,2,4]=>{{1,3},{2},{4}}
[3,1,4,2]=>{{1,3,4},{2}}
[3,2,1,4]=>{{1,3},{2},{4}}
[3,2,4,1]=>{{1,3,4},{2}}
[3,4,1,2]=>{{1,3},{2,4}}
[3,4,2,1]=>{{1,3},{2,4}}
[4,1,2,3]=>{{1,4},{2},{3}}
[4,1,3,2]=>{{1,4},{2},{3}}
[4,2,1,3]=>{{1,4},{2},{3}}
[4,2,3,1]=>{{1,4},{2},{3}}
[4,3,1,2]=>{{1,4},{2,3}}
[4,3,2,1]=>{{1,4},{2,3}}
[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}
[1,2,3,5,4]=>{{1},{2},{3},{4,5}}
[1,2,4,3,5]=>{{1},{2},{3,4},{5}}
[1,2,4,5,3]=>{{1},{2},{3,4,5}}
[1,2,5,3,4]=>{{1},{2},{3,5},{4}}
[1,2,5,4,3]=>{{1},{2},{3,5},{4}}
[1,3,2,4,5]=>{{1},{2,3},{4},{5}}
[1,3,2,5,4]=>{{1},{2,3},{4,5}}
[1,3,4,2,5]=>{{1},{2,3,4},{5}}
[1,3,4,5,2]=>{{1},{2,3,4,5}}
[1,3,5,2,4]=>{{1},{2,3,5},{4}}
[1,3,5,4,2]=>{{1},{2,3,5},{4}}
[1,4,2,3,5]=>{{1},{2,4},{3},{5}}
[1,4,2,5,3]=>{{1},{2,4,5},{3}}
[1,4,3,2,5]=>{{1},{2,4},{3},{5}}
[1,4,3,5,2]=>{{1},{2,4,5},{3}}
[1,4,5,2,3]=>{{1},{2,4},{3,5}}
[1,4,5,3,2]=>{{1},{2,4},{3,5}}
[1,5,2,3,4]=>{{1},{2,5},{3},{4}}
[1,5,2,4,3]=>{{1},{2,5},{3},{4}}
[1,5,3,2,4]=>{{1},{2,5},{3},{4}}
[1,5,3,4,2]=>{{1},{2,5},{3},{4}}
[1,5,4,2,3]=>{{1},{2,5},{3,4}}
[1,5,4,3,2]=>{{1},{2,5},{3,4}}
[2,1,3,4,5]=>{{1,2},{3},{4},{5}}
[2,1,3,5,4]=>{{1,2},{3},{4,5}}
[2,1,4,3,5]=>{{1,2},{3,4},{5}}
[2,1,4,5,3]=>{{1,2},{3,4,5}}
[2,1,5,3,4]=>{{1,2},{3,5},{4}}
[2,1,5,4,3]=>{{1,2},{3,5},{4}}
[2,3,1,4,5]=>{{1,2,3},{4},{5}}
[2,3,1,5,4]=>{{1,2,3},{4,5}}
[2,3,4,1,5]=>{{1,2,3,4},{5}}
[2,3,4,5,1]=>{{1,2,3,4,5}}
[2,3,5,1,4]=>{{1,2,3,5},{4}}
[2,3,5,4,1]=>{{1,2,3,5},{4}}
[2,4,1,3,5]=>{{1,2,4},{3},{5}}
[2,4,1,5,3]=>{{1,2,4,5},{3}}
[2,4,3,1,5]=>{{1,2,4},{3},{5}}
[2,4,3,5,1]=>{{1,2,4,5},{3}}
[2,4,5,1,3]=>{{1,2,4},{3,5}}
[2,4,5,3,1]=>{{1,2,4},{3,5}}
[2,5,1,3,4]=>{{1,2,5},{3},{4}}
[2,5,1,4,3]=>{{1,2,5},{3},{4}}
[2,5,3,1,4]=>{{1,2,5},{3},{4}}
[2,5,3,4,1]=>{{1,2,5},{3},{4}}
[2,5,4,1,3]=>{{1,2,5},{3,4}}
[2,5,4,3,1]=>{{1,2,5},{3,4}}
[3,1,2,4,5]=>{{1,3},{2},{4},{5}}
[3,1,2,5,4]=>{{1,3},{2},{4,5}}
[3,1,4,2,5]=>{{1,3,4},{2},{5}}
[3,1,4,5,2]=>{{1,3,4,5},{2}}
[3,1,5,2,4]=>{{1,3,5},{2},{4}}
[3,1,5,4,2]=>{{1,3,5},{2},{4}}
[3,2,1,4,5]=>{{1,3},{2},{4},{5}}
[3,2,1,5,4]=>{{1,3},{2},{4,5}}
[3,2,4,1,5]=>{{1,3,4},{2},{5}}
[3,2,4,5,1]=>{{1,3,4,5},{2}}
[3,2,5,1,4]=>{{1,3,5},{2},{4}}
[3,2,5,4,1]=>{{1,3,5},{2},{4}}
[3,4,1,2,5]=>{{1,3},{2,4},{5}}
[3,4,1,5,2]=>{{1,3},{2,4,5}}
[3,4,2,1,5]=>{{1,3},{2,4},{5}}
[3,4,2,5,1]=>{{1,3},{2,4,5}}
[3,4,5,1,2]=>{{1,3,5},{2,4}}
[3,4,5,2,1]=>{{1,3,5},{2,4}}
[3,5,1,2,4]=>{{1,3},{2,5},{4}}
[3,5,1,4,2]=>{{1,3},{2,5},{4}}
[3,5,2,1,4]=>{{1,3},{2,5},{4}}
[3,5,2,4,1]=>{{1,3},{2,5},{4}}
[3,5,4,1,2]=>{{1,3,4},{2,5}}
[3,5,4,2,1]=>{{1,3,4},{2,5}}
[4,1,2,3,5]=>{{1,4},{2},{3},{5}}
[4,1,2,5,3]=>{{1,4,5},{2},{3}}
[4,1,3,2,5]=>{{1,4},{2},{3},{5}}
[4,1,3,5,2]=>{{1,4,5},{2},{3}}
[4,1,5,2,3]=>{{1,4},{2},{3,5}}
[4,1,5,3,2]=>{{1,4},{2},{3,5}}
[4,2,1,3,5]=>{{1,4},{2},{3},{5}}
[4,2,1,5,3]=>{{1,4,5},{2},{3}}
[4,2,3,1,5]=>{{1,4},{2},{3},{5}}
[4,2,3,5,1]=>{{1,4,5},{2},{3}}
[4,2,5,1,3]=>{{1,4},{2},{3,5}}
[4,2,5,3,1]=>{{1,4},{2},{3,5}}
[4,3,1,2,5]=>{{1,4},{2,3},{5}}
[4,3,1,5,2]=>{{1,4,5},{2,3}}
[4,3,2,1,5]=>{{1,4},{2,3},{5}}
[4,3,2,5,1]=>{{1,4,5},{2,3}}
[4,3,5,1,2]=>{{1,4},{2,3,5}}
[4,3,5,2,1]=>{{1,4},{2,3,5}}
[4,5,1,2,3]=>{{1,4},{2,5},{3}}
[4,5,1,3,2]=>{{1,4},{2,5},{3}}
[4,5,2,1,3]=>{{1,4},{2,5},{3}}
[4,5,2,3,1]=>{{1,4},{2,5},{3}}
[4,5,3,1,2]=>{{1,4},{2,5},{3}}
[4,5,3,2,1]=>{{1,4},{2,5},{3}}
[5,1,2,3,4]=>{{1,5},{2},{3},{4}}
[5,1,2,4,3]=>{{1,5},{2},{3},{4}}
[5,1,3,2,4]=>{{1,5},{2},{3},{4}}
[5,1,3,4,2]=>{{1,5},{2},{3},{4}}
[5,1,4,2,3]=>{{1,5},{2},{3,4}}
[5,1,4,3,2]=>{{1,5},{2},{3,4}}
[5,2,1,3,4]=>{{1,5},{2},{3},{4}}
[5,2,1,4,3]=>{{1,5},{2},{3},{4}}
[5,2,3,1,4]=>{{1,5},{2},{3},{4}}
[5,2,3,4,1]=>{{1,5},{2},{3},{4}}
[5,2,4,1,3]=>{{1,5},{2},{3,4}}
[5,2,4,3,1]=>{{1,5},{2},{3,4}}
[5,3,1,2,4]=>{{1,5},{2,3},{4}}
[5,3,1,4,2]=>{{1,5},{2,3},{4}}
[5,3,2,1,4]=>{{1,5},{2,3},{4}}
[5,3,2,4,1]=>{{1,5},{2,3},{4}}
[5,3,4,1,2]=>{{1,5},{2,3,4}}
[5,3,4,2,1]=>{{1,5},{2,3,4}}
[5,4,1,2,3]=>{{1,5},{2,4},{3}}
[5,4,1,3,2]=>{{1,5},{2,4},{3}}
[5,4,2,1,3]=>{{1,5},{2,4},{3}}
[5,4,2,3,1]=>{{1,5},{2,4},{3}}
[5,4,3,1,2]=>{{1,5},{2,4},{3}}
[5,4,3,2,1]=>{{1,5},{2,4},{3}}
[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}
[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}
[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}
[1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}
[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}
[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}
[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}
[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}
[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}
[1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}
[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}
[1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}
[1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}
[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}
[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}
[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}
[1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}
[1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}
[1,2,6,3,5,4]=>{{1},{2},{3,6},{4},{5}}
[1,2,6,4,3,5]=>{{1},{2},{3,6},{4},{5}}
[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}
[1,2,6,5,3,4]=>{{1},{2},{3,6},{4,5}}
[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}
[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}
[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}
[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}
[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}
[1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}
[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}
[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}
[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}
[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}
[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}
[1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}
[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}
[1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}
[1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}
[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}
[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}
[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}
[1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}
[1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}
[1,3,6,2,5,4]=>{{1},{2,3,6},{4},{5}}
[1,3,6,4,2,5]=>{{1},{2,3,6},{4},{5}}
[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}
[1,3,6,5,2,4]=>{{1},{2,3,6},{4,5}}
[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}
[1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}
[1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}
[1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}
[1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}
[1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}
[1,4,2,6,5,3]=>{{1},{2,4,6},{3},{5}}
[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}
[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}
[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}
[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}
[1,4,3,6,2,5]=>{{1},{2,4,6},{3},{5}}
[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}
[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}
[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}
[1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}
[1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}
[1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}
[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}
[1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}
[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}
[1,4,6,3,2,5]=>{{1},{2,4},{3,6},{5}}
[1,4,6,3,5,2]=>{{1},{2,4},{3,6},{5}}
[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}
[1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}
[1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}
[1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}
[1,5,2,4,3,6]=>{{1},{2,5},{3},{4},{6}}
[1,5,2,4,6,3]=>{{1},{2,5,6},{3},{4}}
[1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}
[1,5,2,6,4,3]=>{{1},{2,5},{3},{4,6}}
[1,5,3,2,4,6]=>{{1},{2,5},{3},{4},{6}}
[1,5,3,2,6,4]=>{{1},{2,5,6},{3},{4}}
[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}
[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}
[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}
[1,5,3,6,4,2]=>{{1},{2,5},{3},{4,6}}
[1,5,4,2,3,6]=>{{1},{2,5},{3,4},{6}}
[1,5,4,2,6,3]=>{{1},{2,5,6},{3,4}}
[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}
[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}
[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}
[1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}
[1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}
[1,5,6,2,4,3]=>{{1},{2,5},{3,6},{4}}
[1,5,6,3,2,4]=>{{1},{2,5},{3,6},{4}}
[1,5,6,3,4,2]=>{{1},{2,5},{3,6},{4}}
[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}
[1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}
[1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}
[1,6,2,3,5,4]=>{{1},{2,6},{3},{4},{5}}
[1,6,2,4,3,5]=>{{1},{2,6},{3},{4},{5}}
[1,6,2,4,5,3]=>{{1},{2,6},{3},{4},{5}}
[1,6,2,5,3,4]=>{{1},{2,6},{3},{4,5}}
[1,6,2,5,4,3]=>{{1},{2,6},{3},{4,5}}
[1,6,3,2,4,5]=>{{1},{2,6},{3},{4},{5}}
[1,6,3,2,5,4]=>{{1},{2,6},{3},{4},{5}}
[1,6,3,4,2,5]=>{{1},{2,6},{3},{4},{5}}
[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}
[1,6,3,5,2,4]=>{{1},{2,6},{3},{4,5}}
[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}
[1,6,4,2,3,5]=>{{1},{2,6},{3,4},{5}}
[1,6,4,2,5,3]=>{{1},{2,6},{3,4},{5}}
[1,6,4,3,2,5]=>{{1},{2,6},{3,4},{5}}
[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}
[1,6,4,5,2,3]=>{{1},{2,6},{3,4,5}}
[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}
[1,6,5,2,3,4]=>{{1},{2,6},{3,5},{4}}
[1,6,5,2,4,3]=>{{1},{2,6},{3,5},{4}}
[1,6,5,3,2,4]=>{{1},{2,6},{3,5},{4}}
[1,6,5,3,4,2]=>{{1},{2,6},{3,5},{4}}
[1,6,5,4,2,3]=>{{1},{2,6},{3,5},{4}}
[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}
[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}
[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}
[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}
[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}
[2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}
[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}
[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}
[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}
[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}
[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}
[2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}
[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}
[2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}
[2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}
[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}
[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}
[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}
[2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}
[2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}
[2,1,6,3,5,4]=>{{1,2},{3,6},{4},{5}}
[2,1,6,4,3,5]=>{{1,2},{3,6},{4},{5}}
[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}
[2,1,6,5,3,4]=>{{1,2},{3,6},{4,5}}
[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}
[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}
[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}
[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}
[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}
[2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}
[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}
[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}
[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}
[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}
[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}
[2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}
[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}
[2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}
[2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}
[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}
[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}
[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}
[2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}
[2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}
[2,3,6,1,5,4]=>{{1,2,3,6},{4},{5}}
[2,3,6,4,1,5]=>{{1,2,3,6},{4},{5}}
[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}
[2,3,6,5,1,4]=>{{1,2,3,6},{4,5}}
[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}
[2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}
[2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}
[2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}
[2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}
[2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}
[2,4,1,6,5,3]=>{{1,2,4,6},{3},{5}}
[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}
[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}
[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}
[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}
[2,4,3,6,1,5]=>{{1,2,4,6},{3},{5}}
[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}
[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}
[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}
[2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}
[2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}
[2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}
[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}
[2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}
[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}
[2,4,6,3,1,5]=>{{1,2,4},{3,6},{5}}
[2,4,6,3,5,1]=>{{1,2,4},{3,6},{5}}
[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}
[2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}
[2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}
[2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}
[2,5,1,4,3,6]=>{{1,2,5},{3},{4},{6}}
[2,5,1,4,6,3]=>{{1,2,5,6},{3},{4}}
[2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}
[2,5,1,6,4,3]=>{{1,2,5},{3},{4,6}}
[2,5,3,1,4,6]=>{{1,2,5},{3},{4},{6}}
[2,5,3,1,6,4]=>{{1,2,5,6},{3},{4}}
[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}
[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}
[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}
[2,5,3,6,4,1]=>{{1,2,5},{3},{4,6}}
[2,5,4,1,3,6]=>{{1,2,5},{3,4},{6}}
[2,5,4,1,6,3]=>{{1,2,5,6},{3,4}}
[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}
[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}
[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}
[2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}
[2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}
[2,5,6,1,4,3]=>{{1,2,5},{3,6},{4}}
[2,5,6,3,1,4]=>{{1,2,5},{3,6},{4}}
[2,5,6,3,4,1]=>{{1,2,5},{3,6},{4}}
[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}
[2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}
[2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}
[2,6,1,3,5,4]=>{{1,2,6},{3},{4},{5}}
[2,6,1,4,3,5]=>{{1,2,6},{3},{4},{5}}
[2,6,1,4,5,3]=>{{1,2,6},{3},{4},{5}}
[2,6,1,5,3,4]=>{{1,2,6},{3},{4,5}}
[2,6,1,5,4,3]=>{{1,2,6},{3},{4,5}}
[2,6,3,1,4,5]=>{{1,2,6},{3},{4},{5}}
[2,6,3,1,5,4]=>{{1,2,6},{3},{4},{5}}
[2,6,3,4,1,5]=>{{1,2,6},{3},{4},{5}}
[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}
[2,6,3,5,1,4]=>{{1,2,6},{3},{4,5}}
[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}
[2,6,4,1,3,5]=>{{1,2,6},{3,4},{5}}
[2,6,4,1,5,3]=>{{1,2,6},{3,4},{5}}
[2,6,4,3,1,5]=>{{1,2,6},{3,4},{5}}
[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}
[2,6,4,5,1,3]=>{{1,2,6},{3,4,5}}
[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}
[2,6,5,1,3,4]=>{{1,2,6},{3,5},{4}}
[2,6,5,1,4,3]=>{{1,2,6},{3,5},{4}}
[2,6,5,3,1,4]=>{{1,2,6},{3,5},{4}}
[2,6,5,3,4,1]=>{{1,2,6},{3,5},{4}}
[2,6,5,4,1,3]=>{{1,2,6},{3,5},{4}}
[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}
[3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}
[3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}
[3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}
[3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}
[3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}
[3,1,2,6,5,4]=>{{1,3},{2},{4,6},{5}}
[3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}
[3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}
[3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}
[3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}
[3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}
[3,1,4,6,5,2]=>{{1,3,4,6},{2},{5}}
[3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}
[3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}
[3,1,5,4,2,6]=>{{1,3,5},{2},{4},{6}}
[3,1,5,4,6,2]=>{{1,3,5,6},{2},{4}}
[3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}
[3,1,5,6,4,2]=>{{1,3,5},{2},{4,6}}
[3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}
[3,1,6,2,5,4]=>{{1,3,6},{2},{4},{5}}
[3,1,6,4,2,5]=>{{1,3,6},{2},{4},{5}}
[3,1,6,4,5,2]=>{{1,3,6},{2},{4},{5}}
[3,1,6,5,2,4]=>{{1,3,6},{2},{4,5}}
[3,1,6,5,4,2]=>{{1,3,6},{2},{4,5}}
[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}
[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}
[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}
[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}
[3,2,1,6,4,5]=>{{1,3},{2},{4,6},{5}}
[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}
[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}
[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}
[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}
[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}
[3,2,4,6,1,5]=>{{1,3,4,6},{2},{5}}
[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}
[3,2,5,1,4,6]=>{{1,3,5},{2},{4},{6}}
[3,2,5,1,6,4]=>{{1,3,5,6},{2},{4}}
[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}
[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}
[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}
[3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}
[3,2,6,1,4,5]=>{{1,3,6},{2},{4},{5}}
[3,2,6,1,5,4]=>{{1,3,6},{2},{4},{5}}
[3,2,6,4,1,5]=>{{1,3,6},{2},{4},{5}}
[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}
[3,2,6,5,1,4]=>{{1,3,6},{2},{4,5}}
[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}
[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}
[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}
[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}
[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}
[3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}
[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}
[3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}
[3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}
[3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}
[3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}
[3,4,2,6,1,5]=>{{1,3},{2,4,6},{5}}
[3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}
[3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}
[3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}
[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}
[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}
[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}
[3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}
[3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}
[3,4,6,1,5,2]=>{{1,3,6},{2,4},{5}}
[3,4,6,2,1,5]=>{{1,3,6},{2,4},{5}}
[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}
[3,4,6,5,1,2]=>{{1,3,6},{2,4,5}}
[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}
[3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}
[3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}
[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}
[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}
[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}
[3,5,1,6,4,2]=>{{1,3},{2,5},{4,6}}
[3,5,2,1,4,6]=>{{1,3},{2,5},{4},{6}}
[3,5,2,1,6,4]=>{{1,3},{2,5,6},{4}}
[3,5,2,4,1,6]=>{{1,3},{2,5},{4},{6}}
[3,5,2,4,6,1]=>{{1,3},{2,5,6},{4}}
[3,5,2,6,1,4]=>{{1,3},{2,5},{4,6}}
[3,5,2,6,4,1]=>{{1,3},{2,5},{4,6}}
[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}
[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}
[3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}
[3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}
[3,5,4,6,1,2]=>{{1,3,4,6},{2,5}}
[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}
[3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}
[3,5,6,1,4,2]=>{{1,3,6},{2,5},{4}}
[3,5,6,2,1,4]=>{{1,3,6},{2,5},{4}}
[3,5,6,2,4,1]=>{{1,3,6},{2,5},{4}}
[3,5,6,4,1,2]=>{{1,3,6},{2,5},{4}}
[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}
[3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}
[3,6,1,2,5,4]=>{{1,3},{2,6},{4},{5}}
[3,6,1,4,2,5]=>{{1,3},{2,6},{4},{5}}
[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}
[3,6,1,5,2,4]=>{{1,3},{2,6},{4,5}}
[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}
[3,6,2,1,4,5]=>{{1,3},{2,6},{4},{5}}
[3,6,2,1,5,4]=>{{1,3},{2,6},{4},{5}}
[3,6,2,4,1,5]=>{{1,3},{2,6},{4},{5}}
[3,6,2,4,5,1]=>{{1,3},{2,6},{4},{5}}
[3,6,2,5,1,4]=>{{1,3},{2,6},{4,5}}
[3,6,2,5,4,1]=>{{1,3},{2,6},{4,5}}
[3,6,4,1,2,5]=>{{1,3,4},{2,6},{5}}
[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}
[3,6,4,2,1,5]=>{{1,3,4},{2,6},{5}}
[3,6,4,2,5,1]=>{{1,3,4},{2,6},{5}}
[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}
[3,6,4,5,2,1]=>{{1,3,4,5},{2,6}}
[3,6,5,1,2,4]=>{{1,3,5},{2,6},{4}}
[3,6,5,1,4,2]=>{{1,3,5},{2,6},{4}}
[3,6,5,2,1,4]=>{{1,3,5},{2,6},{4}}
[3,6,5,2,4,1]=>{{1,3,5},{2,6},{4}}
[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}
[3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}
[4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}
[4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}
[4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}
[4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}
[4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}
[4,1,2,6,5,3]=>{{1,4,6},{2},{3},{5}}
[4,1,3,2,5,6]=>{{1,4},{2},{3},{5},{6}}
[4,1,3,2,6,5]=>{{1,4},{2},{3},{5,6}}
[4,1,3,5,2,6]=>{{1,4,5},{2},{3},{6}}
[4,1,3,5,6,2]=>{{1,4,5,6},{2},{3}}
[4,1,3,6,2,5]=>{{1,4,6},{2},{3},{5}}
[4,1,3,6,5,2]=>{{1,4,6},{2},{3},{5}}
[4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}
[4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}
[4,1,5,3,2,6]=>{{1,4},{2},{3,5},{6}}
[4,1,5,3,6,2]=>{{1,4},{2},{3,5,6}}
[4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}
[4,1,5,6,3,2]=>{{1,4,6},{2},{3,5}}
[4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}
[4,1,6,2,5,3]=>{{1,4},{2},{3,6},{5}}
[4,1,6,3,2,5]=>{{1,4},{2},{3,6},{5}}
[4,1,6,3,5,2]=>{{1,4},{2},{3,6},{5}}
[4,1,6,5,2,3]=>{{1,4,5},{2},{3,6}}
[4,1,6,5,3,2]=>{{1,4,5},{2},{3,6}}
[4,2,1,3,5,6]=>{{1,4},{2},{3},{5},{6}}
[4,2,1,3,6,5]=>{{1,4},{2},{3},{5,6}}
[4,2,1,5,3,6]=>{{1,4,5},{2},{3},{6}}
[4,2,1,5,6,3]=>{{1,4,5,6},{2},{3}}
[4,2,1,6,3,5]=>{{1,4,6},{2},{3},{5}}
[4,2,1,6,5,3]=>{{1,4,6},{2},{3},{5}}
[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}
[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}
[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}
[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}
[4,2,3,6,1,5]=>{{1,4,6},{2},{3},{5}}
[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}
[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}
[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}
[4,2,5,3,1,6]=>{{1,4},{2},{3,5},{6}}
[4,2,5,3,6,1]=>{{1,4},{2},{3,5,6}}
[4,2,5,6,1,3]=>{{1,4,6},{2},{3,5}}
[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}
[4,2,6,1,3,5]=>{{1,4},{2},{3,6},{5}}
[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}
[4,2,6,3,1,5]=>{{1,4},{2},{3,6},{5}}
[4,2,6,3,5,1]=>{{1,4},{2},{3,6},{5}}
[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}
[4,2,6,5,3,1]=>{{1,4,5},{2},{3,6}}
[4,3,1,2,5,6]=>{{1,4},{2,3},{5},{6}}
[4,3,1,2,6,5]=>{{1,4},{2,3},{5,6}}
[4,3,1,5,2,6]=>{{1,4,5},{2,3},{6}}
[4,3,1,5,6,2]=>{{1,4,5,6},{2,3}}
[4,3,1,6,2,5]=>{{1,4,6},{2,3},{5}}
[4,3,1,6,5,2]=>{{1,4,6},{2,3},{5}}
[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}
[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}
[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}
[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}
[4,3,2,6,1,5]=>{{1,4,6},{2,3},{5}}
[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}
[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}
[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}
[4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}
[4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}
[4,3,5,6,1,2]=>{{1,4,6},{2,3,5}}
[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}
[4,3,6,1,2,5]=>{{1,4},{2,3,6},{5}}
[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}
[4,3,6,2,1,5]=>{{1,4},{2,3,6},{5}}
[4,3,6,2,5,1]=>{{1,4},{2,3,6},{5}}
[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}
[4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}
[4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}
[4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}
[4,5,1,3,2,6]=>{{1,4},{2,5},{3},{6}}
[4,5,1,3,6,2]=>{{1,4},{2,5,6},{3}}
[4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}
[4,5,1,6,3,2]=>{{1,4,6},{2,5},{3}}
[4,5,2,1,3,6]=>{{1,4},{2,5},{3},{6}}
[4,5,2,1,6,3]=>{{1,4},{2,5,6},{3}}
[4,5,2,3,1,6]=>{{1,4},{2,5},{3},{6}}
[4,5,2,3,6,1]=>{{1,4},{2,5,6},{3}}
[4,5,2,6,1,3]=>{{1,4,6},{2,5},{3}}
[4,5,2,6,3,1]=>{{1,4,6},{2,5},{3}}
[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}
[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}
[4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}
[4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}
[4,5,3,6,1,2]=>{{1,4,6},{2,5},{3}}
[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}
[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}
[4,5,6,1,3,2]=>{{1,4},{2,5},{3,6}}
[4,5,6,2,1,3]=>{{1,4},{2,5},{3,6}}
[4,5,6,2,3,1]=>{{1,4},{2,5},{3,6}}
[4,5,6,3,1,2]=>{{1,4},{2,5},{3,6}}
[4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}
[4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}
[4,6,1,2,5,3]=>{{1,4},{2,6},{3},{5}}
[4,6,1,3,2,5]=>{{1,4},{2,6},{3},{5}}
[4,6,1,3,5,2]=>{{1,4},{2,6},{3},{5}}
[4,6,1,5,2,3]=>{{1,4,5},{2,6},{3}}
[4,6,1,5,3,2]=>{{1,4,5},{2,6},{3}}
[4,6,2,1,3,5]=>{{1,4},{2,6},{3},{5}}
[4,6,2,1,5,3]=>{{1,4},{2,6},{3},{5}}
[4,6,2,3,1,5]=>{{1,4},{2,6},{3},{5}}
[4,6,2,3,5,1]=>{{1,4},{2,6},{3},{5}}
[4,6,2,5,1,3]=>{{1,4,5},{2,6},{3}}
[4,6,2,5,3,1]=>{{1,4,5},{2,6},{3}}
[4,6,3,1,2,5]=>{{1,4},{2,6},{3},{5}}
[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}
[4,6,3,2,1,5]=>{{1,4},{2,6},{3},{5}}
[4,6,3,2,5,1]=>{{1,4},{2,6},{3},{5}}
[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}
[4,6,3,5,2,1]=>{{1,4,5},{2,6},{3}}
[4,6,5,1,2,3]=>{{1,4},{2,6},{3,5}}
[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}
[4,6,5,2,1,3]=>{{1,4},{2,6},{3,5}}
[4,6,5,2,3,1]=>{{1,4},{2,6},{3,5}}
[4,6,5,3,1,2]=>{{1,4},{2,6},{3,5}}
[4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}
[5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}
[5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}
[5,1,2,4,3,6]=>{{1,5},{2},{3},{4},{6}}
[5,1,2,4,6,3]=>{{1,5,6},{2},{3},{4}}
[5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}
[5,1,2,6,4,3]=>{{1,5},{2},{3},{4,6}}
[5,1,3,2,4,6]=>{{1,5},{2},{3},{4},{6}}
[5,1,3,2,6,4]=>{{1,5,6},{2},{3},{4}}
[5,1,3,4,2,6]=>{{1,5},{2},{3},{4},{6}}
[5,1,3,4,6,2]=>{{1,5,6},{2},{3},{4}}
[5,1,3,6,2,4]=>{{1,5},{2},{3},{4,6}}
[5,1,3,6,4,2]=>{{1,5},{2},{3},{4,6}}
[5,1,4,2,3,6]=>{{1,5},{2},{3,4},{6}}
[5,1,4,2,6,3]=>{{1,5,6},{2},{3,4}}
[5,1,4,3,2,6]=>{{1,5},{2},{3,4},{6}}
[5,1,4,3,6,2]=>{{1,5,6},{2},{3,4}}
[5,1,4,6,2,3]=>{{1,5},{2},{3,4,6}}
[5,1,4,6,3,2]=>{{1,5},{2},{3,4,6}}
[5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}
[5,1,6,2,4,3]=>{{1,5},{2},{3,6},{4}}
[5,1,6,3,2,4]=>{{1,5},{2},{3,6},{4}}
[5,1,6,3,4,2]=>{{1,5},{2},{3,6},{4}}
[5,1,6,4,2,3]=>{{1,5},{2},{3,6},{4}}
[5,1,6,4,3,2]=>{{1,5},{2},{3,6},{4}}
[5,2,1,3,4,6]=>{{1,5},{2},{3},{4},{6}}
[5,2,1,3,6,4]=>{{1,5,6},{2},{3},{4}}
[5,2,1,4,3,6]=>{{1,5},{2},{3},{4},{6}}
[5,2,1,4,6,3]=>{{1,5,6},{2},{3},{4}}
[5,2,1,6,3,4]=>{{1,5},{2},{3},{4,6}}
[5,2,1,6,4,3]=>{{1,5},{2},{3},{4,6}}
[5,2,3,1,4,6]=>{{1,5},{2},{3},{4},{6}}
[5,2,3,1,6,4]=>{{1,5,6},{2},{3},{4}}
[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}
[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}
[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}
[5,2,3,6,4,1]=>{{1,5},{2},{3},{4,6}}
[5,2,4,1,3,6]=>{{1,5},{2},{3,4},{6}}
[5,2,4,1,6,3]=>{{1,5,6},{2},{3,4}}
[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}
[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}
[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}
[5,2,4,6,3,1]=>{{1,5},{2},{3,4,6}}
[5,2,6,1,3,4]=>{{1,5},{2},{3,6},{4}}
[5,2,6,1,4,3]=>{{1,5},{2},{3,6},{4}}
[5,2,6,3,1,4]=>{{1,5},{2},{3,6},{4}}
[5,2,6,3,4,1]=>{{1,5},{2},{3,6},{4}}
[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}
[5,2,6,4,3,1]=>{{1,5},{2},{3,6},{4}}
[5,3,1,2,4,6]=>{{1,5},{2,3},{4},{6}}
[5,3,1,2,6,4]=>{{1,5,6},{2,3},{4}}
[5,3,1,4,2,6]=>{{1,5},{2,3},{4},{6}}
[5,3,1,4,6,2]=>{{1,5,6},{2,3},{4}}
[5,3,1,6,2,4]=>{{1,5},{2,3},{4,6}}
[5,3,1,6,4,2]=>{{1,5},{2,3},{4,6}}
[5,3,2,1,4,6]=>{{1,5},{2,3},{4},{6}}
[5,3,2,1,6,4]=>{{1,5,6},{2,3},{4}}
[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}
[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}
[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}
[5,3,2,6,4,1]=>{{1,5},{2,3},{4,6}}
[5,3,4,1,2,6]=>{{1,5},{2,3,4},{6}}
[5,3,4,1,6,2]=>{{1,5,6},{2,3,4}}
[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}
[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}
[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}
[5,3,4,6,2,1]=>{{1,5},{2,3,4,6}}
[5,3,6,1,2,4]=>{{1,5},{2,3,6},{4}}
[5,3,6,1,4,2]=>{{1,5},{2,3,6},{4}}
[5,3,6,2,1,4]=>{{1,5},{2,3,6},{4}}
[5,3,6,2,4,1]=>{{1,5},{2,3,6},{4}}
[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}
[5,3,6,4,2,1]=>{{1,5},{2,3,6},{4}}
[5,4,1,2,3,6]=>{{1,5},{2,4},{3},{6}}
[5,4,1,2,6,3]=>{{1,5,6},{2,4},{3}}
[5,4,1,3,2,6]=>{{1,5},{2,4},{3},{6}}
[5,4,1,3,6,2]=>{{1,5,6},{2,4},{3}}
[5,4,1,6,2,3]=>{{1,5},{2,4,6},{3}}
[5,4,1,6,3,2]=>{{1,5},{2,4,6},{3}}
[5,4,2,1,3,6]=>{{1,5},{2,4},{3},{6}}
[5,4,2,1,6,3]=>{{1,5,6},{2,4},{3}}
[5,4,2,3,1,6]=>{{1,5},{2,4},{3},{6}}
[5,4,2,3,6,1]=>{{1,5,6},{2,4},{3}}
[5,4,2,6,1,3]=>{{1,5},{2,4,6},{3}}
[5,4,2,6,3,1]=>{{1,5},{2,4,6},{3}}
[5,4,3,1,2,6]=>{{1,5},{2,4},{3},{6}}
[5,4,3,1,6,2]=>{{1,5,6},{2,4},{3}}
[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}
[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}
[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}
[5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}
[5,4,6,1,2,3]=>{{1,5},{2,4},{3,6}}
[5,4,6,1,3,2]=>{{1,5},{2,4},{3,6}}
[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}
[5,4,6,2,3,1]=>{{1,5},{2,4},{3,6}}
[5,4,6,3,1,2]=>{{1,5},{2,4},{3,6}}
[5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}
[5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}
[5,6,1,2,4,3]=>{{1,5},{2,6},{3},{4}}
[5,6,1,3,2,4]=>{{1,5},{2,6},{3},{4}}
[5,6,1,3,4,2]=>{{1,5},{2,6},{3},{4}}
[5,6,1,4,2,3]=>{{1,5},{2,6},{3},{4}}
[5,6,1,4,3,2]=>{{1,5},{2,6},{3},{4}}
[5,6,2,1,3,4]=>{{1,5},{2,6},{3},{4}}
[5,6,2,1,4,3]=>{{1,5},{2,6},{3},{4}}
[5,6,2,3,1,4]=>{{1,5},{2,6},{3},{4}}
[5,6,2,3,4,1]=>{{1,5},{2,6},{3},{4}}
[5,6,2,4,1,3]=>{{1,5},{2,6},{3},{4}}
[5,6,2,4,3,1]=>{{1,5},{2,6},{3},{4}}
[5,6,3,1,2,4]=>{{1,5},{2,6},{3},{4}}
[5,6,3,1,4,2]=>{{1,5},{2,6},{3},{4}}
[5,6,3,2,1,4]=>{{1,5},{2,6},{3},{4}}
[5,6,3,2,4,1]=>{{1,5},{2,6},{3},{4}}
[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}
[5,6,3,4,2,1]=>{{1,5},{2,6},{3},{4}}
[5,6,4,1,2,3]=>{{1,5},{2,6},{3,4}}
[5,6,4,1,3,2]=>{{1,5},{2,6},{3,4}}
[5,6,4,2,1,3]=>{{1,5},{2,6},{3,4}}
[5,6,4,2,3,1]=>{{1,5},{2,6},{3,4}}
[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}
[5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}
[6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}
[6,1,2,3,5,4]=>{{1,6},{2},{3},{4},{5}}
[6,1,2,4,3,5]=>{{1,6},{2},{3},{4},{5}}
[6,1,2,4,5,3]=>{{1,6},{2},{3},{4},{5}}
[6,1,2,5,3,4]=>{{1,6},{2},{3},{4,5}}
[6,1,2,5,4,3]=>{{1,6},{2},{3},{4,5}}
[6,1,3,2,4,5]=>{{1,6},{2},{3},{4},{5}}
[6,1,3,2,5,4]=>{{1,6},{2},{3},{4},{5}}
[6,1,3,4,2,5]=>{{1,6},{2},{3},{4},{5}}
[6,1,3,4,5,2]=>{{1,6},{2},{3},{4},{5}}
[6,1,3,5,2,4]=>{{1,6},{2},{3},{4,5}}
[6,1,3,5,4,2]=>{{1,6},{2},{3},{4,5}}
[6,1,4,2,3,5]=>{{1,6},{2},{3,4},{5}}
[6,1,4,2,5,3]=>{{1,6},{2},{3,4},{5}}
[6,1,4,3,2,5]=>{{1,6},{2},{3,4},{5}}
[6,1,4,3,5,2]=>{{1,6},{2},{3,4},{5}}
[6,1,4,5,2,3]=>{{1,6},{2},{3,4,5}}
[6,1,4,5,3,2]=>{{1,6},{2},{3,4,5}}
[6,1,5,2,3,4]=>{{1,6},{2},{3,5},{4}}
[6,1,5,2,4,3]=>{{1,6},{2},{3,5},{4}}
[6,1,5,3,2,4]=>{{1,6},{2},{3,5},{4}}
[6,1,5,3,4,2]=>{{1,6},{2},{3,5},{4}}
[6,1,5,4,2,3]=>{{1,6},{2},{3,5},{4}}
[6,1,5,4,3,2]=>{{1,6},{2},{3,5},{4}}
[6,2,1,3,4,5]=>{{1,6},{2},{3},{4},{5}}
[6,2,1,3,5,4]=>{{1,6},{2},{3},{4},{5}}
[6,2,1,4,3,5]=>{{1,6},{2},{3},{4},{5}}
[6,2,1,4,5,3]=>{{1,6},{2},{3},{4},{5}}
[6,2,1,5,3,4]=>{{1,6},{2},{3},{4,5}}
[6,2,1,5,4,3]=>{{1,6},{2},{3},{4,5}}
[6,2,3,1,4,5]=>{{1,6},{2},{3},{4},{5}}
[6,2,3,1,5,4]=>{{1,6},{2},{3},{4},{5}}
[6,2,3,4,1,5]=>{{1,6},{2},{3},{4},{5}}
[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}
[6,2,3,5,1,4]=>{{1,6},{2},{3},{4,5}}
[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}
[6,2,4,1,3,5]=>{{1,6},{2},{3,4},{5}}
[6,2,4,1,5,3]=>{{1,6},{2},{3,4},{5}}
[6,2,4,3,1,5]=>{{1,6},{2},{3,4},{5}}
[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}
[6,2,4,5,1,3]=>{{1,6},{2},{3,4,5}}
[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}
[6,2,5,1,3,4]=>{{1,6},{2},{3,5},{4}}
[6,2,5,1,4,3]=>{{1,6},{2},{3,5},{4}}
[6,2,5,3,1,4]=>{{1,6},{2},{3,5},{4}}
[6,2,5,3,4,1]=>{{1,6},{2},{3,5},{4}}
[6,2,5,4,1,3]=>{{1,6},{2},{3,5},{4}}
[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}
[6,3,1,2,4,5]=>{{1,6},{2,3},{4},{5}}
[6,3,1,2,5,4]=>{{1,6},{2,3},{4},{5}}
[6,3,1,4,2,5]=>{{1,6},{2,3},{4},{5}}
[6,3,1,4,5,2]=>{{1,6},{2,3},{4},{5}}
[6,3,1,5,2,4]=>{{1,6},{2,3},{4,5}}
[6,3,1,5,4,2]=>{{1,6},{2,3},{4,5}}
[6,3,2,1,4,5]=>{{1,6},{2,3},{4},{5}}
[6,3,2,1,5,4]=>{{1,6},{2,3},{4},{5}}
[6,3,2,4,1,5]=>{{1,6},{2,3},{4},{5}}
[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}
[6,3,2,5,1,4]=>{{1,6},{2,3},{4,5}}
[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}
[6,3,4,1,2,5]=>{{1,6},{2,3,4},{5}}
[6,3,4,1,5,2]=>{{1,6},{2,3,4},{5}}
[6,3,4,2,1,5]=>{{1,6},{2,3,4},{5}}
[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}
[6,3,4,5,1,2]=>{{1,6},{2,3,4,5}}
[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}
[6,3,5,1,2,4]=>{{1,6},{2,3,5},{4}}
[6,3,5,1,4,2]=>{{1,6},{2,3,5},{4}}
[6,3,5,2,1,4]=>{{1,6},{2,3,5},{4}}
[6,3,5,2,4,1]=>{{1,6},{2,3,5},{4}}
[6,3,5,4,1,2]=>{{1,6},{2,3,5},{4}}
[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}
[6,4,1,2,3,5]=>{{1,6},{2,4},{3},{5}}
[6,4,1,2,5,3]=>{{1,6},{2,4},{3},{5}}
[6,4,1,3,2,5]=>{{1,6},{2,4},{3},{5}}
[6,4,1,3,5,2]=>{{1,6},{2,4},{3},{5}}
[6,4,1,5,2,3]=>{{1,6},{2,4,5},{3}}
[6,4,1,5,3,2]=>{{1,6},{2,4,5},{3}}
[6,4,2,1,3,5]=>{{1,6},{2,4},{3},{5}}
[6,4,2,1,5,3]=>{{1,6},{2,4},{3},{5}}
[6,4,2,3,1,5]=>{{1,6},{2,4},{3},{5}}
[6,4,2,3,5,1]=>{{1,6},{2,4},{3},{5}}
[6,4,2,5,1,3]=>{{1,6},{2,4,5},{3}}
[6,4,2,5,3,1]=>{{1,6},{2,4,5},{3}}
[6,4,3,1,2,5]=>{{1,6},{2,4},{3},{5}}
[6,4,3,1,5,2]=>{{1,6},{2,4},{3},{5}}
[6,4,3,2,1,5]=>{{1,6},{2,4},{3},{5}}
[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}
[6,4,3,5,1,2]=>{{1,6},{2,4,5},{3}}
[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}
[6,4,5,1,2,3]=>{{1,6},{2,4},{3,5}}
[6,4,5,1,3,2]=>{{1,6},{2,4},{3,5}}
[6,4,5,2,1,3]=>{{1,6},{2,4},{3,5}}
[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}
[6,4,5,3,1,2]=>{{1,6},{2,4},{3,5}}
[6,4,5,3,2,1]=>{{1,6},{2,4},{3,5}}
[6,5,1,2,3,4]=>{{1,6},{2,5},{3},{4}}
[6,5,1,2,4,3]=>{{1,6},{2,5},{3},{4}}
[6,5,1,3,2,4]=>{{1,6},{2,5},{3},{4}}
[6,5,1,3,4,2]=>{{1,6},{2,5},{3},{4}}
[6,5,1,4,2,3]=>{{1,6},{2,5},{3},{4}}
[6,5,1,4,3,2]=>{{1,6},{2,5},{3},{4}}
[6,5,2,1,3,4]=>{{1,6},{2,5},{3},{4}}
[6,5,2,1,4,3]=>{{1,6},{2,5},{3},{4}}
[6,5,2,3,1,4]=>{{1,6},{2,5},{3},{4}}
[6,5,2,3,4,1]=>{{1,6},{2,5},{3},{4}}
[6,5,2,4,1,3]=>{{1,6},{2,5},{3},{4}}
[6,5,2,4,3,1]=>{{1,6},{2,5},{3},{4}}
[6,5,3,1,2,4]=>{{1,6},{2,5},{3},{4}}
[6,5,3,1,4,2]=>{{1,6},{2,5},{3},{4}}
[6,5,3,2,1,4]=>{{1,6},{2,5},{3},{4}}
[6,5,3,2,4,1]=>{{1,6},{2,5},{3},{4}}
[6,5,3,4,1,2]=>{{1,6},{2,5},{3},{4}}
[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}
[6,5,4,1,2,3]=>{{1,6},{2,5},{3,4}}
[6,5,4,1,3,2]=>{{1,6},{2,5},{3,4}}
[6,5,4,2,1,3]=>{{1,6},{2,5},{3,4}}
[6,5,4,2,3,1]=>{{1,6},{2,5},{3,4}}
[6,5,4,3,1,2]=>{{1,6},{2,5},{3,4}}
[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}
[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}
[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}
[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}
[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}
[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}
[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}
[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}
[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}
[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}
[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}
[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}
[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}
[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}
[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}
[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}
[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}
[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}
[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}
[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}
[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}
[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}
[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}
[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}
[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}
[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}
[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}
[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}
[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}
[1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}
[1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}
[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}
[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}
[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}
[1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}
[1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}
[1,2,4,7,3,6,5]=>{{1},{2},{3,4,7},{5},{6}}
[1,2,4,7,5,3,6]=>{{1},{2},{3,4,7},{5},{6}}
[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}
[1,2,4,7,6,3,5]=>{{1},{2},{3,4,7},{5,6}}
[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}
[1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}
[1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}
[1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}
[1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}
[1,2,5,3,7,6,4]=>{{1},{2},{3,5,7},{4},{6}}
[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}
[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}
[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}
[1,2,5,4,7,3,6]=>{{1},{2},{3,5,7},{4},{6}}
[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}
[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}
[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}
[1,2,5,6,4,3,7]=>{{1},{2},{3,5},{4,6},{7}}
[1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}
[1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}
[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}
[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}
[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}
[1,2,5,7,4,3,6]=>{{1},{2},{3,5},{4,7},{6}}
[1,2,5,7,4,6,3]=>{{1},{2},{3,5},{4,7},{6}}
[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}
[1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}
[1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}
[1,2,6,3,5,4,7]=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,3,5,7,4]=>{{1},{2},{3,6,7},{4},{5}}
[1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}
[1,2,6,3,7,5,4]=>{{1},{2},{3,6},{4},{5,7}}
[1,2,6,4,3,5,7]=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,4,3,7,5]=>{{1},{2},{3,6,7},{4},{5}}
[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}
[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}
[1,2,6,4,7,5,3]=>{{1},{2},{3,6},{4},{5,7}}
[1,2,6,5,3,4,7]=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,5,3,7,4]=>{{1},{2},{3,6,7},{4,5}}
[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}
[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}
[1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}
[1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,6,7,3,5,4]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,6,7,4,5,3]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}
[1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,4,6,5]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,5,4,6]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,5,6,4]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,6,4,5]=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,3,6,5,4]=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,4,3,5,6]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,4,3,6,5]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,4,5,3,6]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,4,6,3,5]=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,5,3,4,6]=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,5,3,6,4]=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,5,4,3,6]=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,5,6,3,4]=>{{1},{2},{3,7},{4,5,6}}
[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}
[1,2,7,6,3,4,5]=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,3,5,4]=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,4,3,5]=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,5,3,4]=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}
[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}
[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}
[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}
[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}
[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}
[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}
[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}
[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}
[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}
[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}
[1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}
[1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}
[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}
[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}
[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}
[1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}
[1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,4,6,5]=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,5,4,6]=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,6,4,5]=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}
[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}
[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}
[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}
[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}
[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}
[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}
[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}
[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}
[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}
[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}
[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}
[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}
[1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}
[1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}
[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}
[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}
[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}
[1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}
[1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}
[1,3,4,7,2,6,5]=>{{1},{2,3,4,7},{5},{6}}
[1,3,4,7,5,2,6]=>{{1},{2,3,4,7},{5},{6}}
[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}
[1,3,4,7,6,2,5]=>{{1},{2,3,4,7},{5,6}}
[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}
[1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}
[1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}
[1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}
[1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}
[1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}
[1,3,5,2,7,6,4]=>{{1},{2,3,5,7},{4},{6}}
[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}
[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}
[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}
[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}
[1,3,5,4,7,2,6]=>{{1},{2,3,5,7},{4},{6}}
[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}
[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}
[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}
[1,3,5,6,4,2,7]=>{{1},{2,3,5},{4,6},{7}}
[1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}
[1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}
[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}
[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}
[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}
[1,3,5,7,4,2,6]=>{{1},{2,3,5},{4,7},{6}}
[1,3,5,7,4,6,2]=>{{1},{2,3,5},{4,7},{6}}
[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}
[1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}
[1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}
[1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}
[1,3,6,2,5,4,7]=>{{1},{2,3,6},{4},{5},{7}}
[1,3,6,2,5,7,4]=>{{1},{2,3,6,7},{4},{5}}
[1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}
[1,3,6,2,7,5,4]=>{{1},{2,3,6},{4},{5,7}}
[1,3,6,4,2,5,7]=>{{1},{2,3,6},{4},{5},{7}}
[1,3,6,4,2,7,5]=>{{1},{2,3,6,7},{4},{5}}
[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}
[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}
[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}
[1,3,6,4,7,5,2]=>{{1},{2,3,6},{4},{5,7}}
[1,3,6,5,2,4,7]=>{{1},{2,3,6},{4,5},{7}}
[1,3,6,5,2,7,4]=>{{1},{2,3,6,7},{4,5}}
[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}
[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}
[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}
[1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}
[1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}
[1,3,6,7,2,5,4]=>{{1},{2,3,6},{4,7},{5}}
[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,7},{5}}
[1,3,6,7,4,5,2]=>{{1},{2,3,6},{4,7},{5}}
[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}
[1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}
[1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,2,4,6,5]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,2,5,4,6]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,2,5,6,4]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,2,6,4,5]=>{{1},{2,3,7},{4},{5,6}}
[1,3,7,2,6,5,4]=>{{1},{2,3,7},{4},{5,6}}
[1,3,7,4,2,5,6]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,4,2,6,5]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,4,5,2,6]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}
[1,3,7,4,6,2,5]=>{{1},{2,3,7},{4},{5,6}}
[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}
[1,3,7,5,2,4,6]=>{{1},{2,3,7},{4,5},{6}}
[1,3,7,5,2,6,4]=>{{1},{2,3,7},{4,5},{6}}
[1,3,7,5,4,2,6]=>{{1},{2,3,7},{4,5},{6}}
[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}
[1,3,7,5,6,2,4]=>{{1},{2,3,7},{4,5,6}}
[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}
[1,3,7,6,2,4,5]=>{{1},{2,3,7},{4,6},{5}}
[1,3,7,6,2,5,4]=>{{1},{2,3,7},{4,6},{5}}
[1,3,7,6,4,2,5]=>{{1},{2,3,7},{4,6},{5}}
[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,6},{5}}
[1,3,7,6,5,2,4]=>{{1},{2,3,7},{4,6},{5}}
[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}
[1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}
[1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}
[1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}
[1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}
[1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}
[1,4,2,3,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}
[1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}
[1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}
[1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}
[1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}
[1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}
[1,4,2,5,7,6,3]=>{{1},{2,4,5,7},{3},{6}}
[1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}
[1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}
[1,4,2,6,5,3,7]=>{{1},{2,4,6},{3},{5},{7}}
[1,4,2,6,5,7,3]=>{{1},{2,4,6,7},{3},{5}}
[1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}
[1,4,2,6,7,5,3]=>{{1},{2,4,6},{3},{5,7}}
[1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,2,7,3,6,5]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,2,7,5,3,6]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,2,7,5,6,3]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,2,7,6,3,5]=>{{1},{2,4,7},{3},{5,6}}
[1,4,2,7,6,5,3]=>{{1},{2,4,7},{3},{5,6}}
[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}
[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}
[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}
[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}
[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}
[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}
[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}
[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}
[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}
[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}
[1,4,3,5,7,2,6]=>{{1},{2,4,5,7},{3},{6}}
[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}
[1,4,3,6,2,5,7]=>{{1},{2,4,6},{3},{5},{7}}
[1,4,3,6,2,7,5]=>{{1},{2,4,6,7},{3},{5}}
[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}
[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}
[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}
[1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}
[1,4,3,7,2,5,6]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,3,7,2,6,5]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,3,7,5,2,6]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}
[1,4,3,7,6,2,5]=>{{1},{2,4,7},{3},{5,6}}
[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}
[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}
[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}
[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}
[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}
[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}
[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}
[1,4,5,3,2,6,7]=>{{1},{2,4},{3,5},{6},{7}}
[1,4,5,3,2,7,6]=>{{1},{2,4},{3,5},{6,7}}
[1,4,5,3,6,2,7]=>{{1},{2,4},{3,5,6},{7}}
[1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}
[1,4,5,3,7,2,6]=>{{1},{2,4},{3,5,7},{6}}
[1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}
[1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}
[1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}
[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}
[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}
[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}
[1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}
[1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}
[1,4,5,7,2,6,3]=>{{1},{2,4,7},{3,5},{6}}
[1,4,5,7,3,2,6]=>{{1},{2,4,7},{3,5},{6}}
[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}
[1,4,5,7,6,2,3]=>{{1},{2,4,7},{3,5,6}}
[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}
[1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}
[1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}
[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}
[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}
[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}
[1,4,6,2,7,5,3]=>{{1},{2,4},{3,6},{5,7}}
[1,4,6,3,2,5,7]=>{{1},{2,4},{3,6},{5},{7}}
[1,4,6,3,2,7,5]=>{{1},{2,4},{3,6,7},{5}}
[1,4,6,3,5,2,7]=>{{1},{2,4},{3,6},{5},{7}}
[1,4,6,3,5,7,2]=>{{1},{2,4},{3,6,7},{5}}
[1,4,6,3,7,2,5]=>{{1},{2,4},{3,6},{5,7}}
[1,4,6,3,7,5,2]=>{{1},{2,4},{3,6},{5,7}}
[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}
[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}
[1,4,6,5,3,2,7]=>{{1},{2,4,5},{3,6},{7}}
[1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}
[1,4,6,5,7,2,3]=>{{1},{2,4,5,7},{3,6}}
[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}
[1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}
[1,4,6,7,2,5,3]=>{{1},{2,4,7},{3,6},{5}}
[1,4,6,7,3,2,5]=>{{1},{2,4,7},{3,6},{5}}
[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,6},{5}}
[1,4,6,7,5,2,3]=>{{1},{2,4,7},{3,6},{5}}
[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}
[1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,2,3,6,5]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,2,5,3,6]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,2,6,3,5]=>{{1},{2,4},{3,7},{5,6}}
[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}
[1,4,7,3,2,5,6]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,3,2,6,5]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,3,5,2,6]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,3,5,6,2]=>{{1},{2,4},{3,7},{5},{6}}
[1,4,7,3,6,2,5]=>{{1},{2,4},{3,7},{5,6}}
[1,4,7,3,6,5,2]=>{{1},{2,4},{3,7},{5,6}}
[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,7},{6}}
[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}
[1,4,7,5,3,2,6]=>{{1},{2,4,5},{3,7},{6}}
[1,4,7,5,3,6,2]=>{{1},{2,4,5},{3,7},{6}}
[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}
[1,4,7,5,6,3,2]=>{{1},{2,4,5,6},{3,7}}
[1,4,7,6,2,3,5]=>{{1},{2,4,6},{3,7},{5}}
[1,4,7,6,2,5,3]=>{{1},{2,4,6},{3,7},{5}}
[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,7},{5}}
[1,4,7,6,3,5,2]=>{{1},{2,4,6},{3,7},{5}}
[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}
[1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}
[1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}
[1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}
[1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}
[1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,2,3,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,2,4,3,6,7]=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,2,4,3,7,6]=>{{1},{2,5},{3},{4},{6,7}}
[1,5,2,4,6,3,7]=>{{1},{2,5,6},{3},{4},{7}}
[1,5,2,4,6,7,3]=>{{1},{2,5,6,7},{3},{4}}
[1,5,2,4,7,3,6]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,2,4,7,6,3]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}
[1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}
[1,5,2,6,4,3,7]=>{{1},{2,5},{3},{4,6},{7}}
[1,5,2,6,4,7,3]=>{{1},{2,5},{3},{4,6,7}}
[1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}
[1,5,2,6,7,4,3]=>{{1},{2,5,7},{3},{4,6}}
[1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,2,7,3,6,4]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,2,7,4,3,6]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,2,7,4,6,3]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,2,7,6,3,4]=>{{1},{2,5,6},{3},{4,7}}
[1,5,2,7,6,4,3]=>{{1},{2,5,6},{3},{4,7}}
[1,5,3,2,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,3,2,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}
[1,5,3,2,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}
[1,5,3,2,6,7,4]=>{{1},{2,5,6,7},{3},{4}}
[1,5,3,2,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,3,2,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}
[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}
[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}
[1,5,3,4,7,2,6]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}
[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}
[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}
[1,5,3,6,4,2,7]=>{{1},{2,5},{3},{4,6},{7}}
[1,5,3,6,4,7,2]=>{{1},{2,5},{3},{4,6,7}}
[1,5,3,6,7,2,4]=>{{1},{2,5,7},{3},{4,6}}
[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}
[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,3,7,4,2,6]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,3,7,4,6,2]=>{{1},{2,5},{3},{4,7},{6}}
[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}
[1,5,3,7,6,4,2]=>{{1},{2,5,6},{3},{4,7}}
[1,5,4,2,3,6,7]=>{{1},{2,5},{3,4},{6},{7}}
[1,5,4,2,3,7,6]=>{{1},{2,5},{3,4},{6,7}}
[1,5,4,2,6,3,7]=>{{1},{2,5,6},{3,4},{7}}
[1,5,4,2,6,7,3]=>{{1},{2,5,6,7},{3,4}}
[1,5,4,2,7,3,6]=>{{1},{2,5,7},{3,4},{6}}
[1,5,4,2,7,6,3]=>{{1},{2,5,7},{3,4},{6}}
[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}
[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}
[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}
[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}
[1,5,4,3,7,2,6]=>{{1},{2,5,7},{3,4},{6}}
[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}
[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}
[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}
[1,5,4,6,3,2,7]=>{{1},{2,5},{3,4,6},{7}}
[1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}
[1,5,4,6,7,2,3]=>{{1},{2,5,7},{3,4,6}}
[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}
[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,7},{6}}
[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}
[1,5,4,7,3,2,6]=>{{1},{2,5},{3,4,7},{6}}
[1,5,4,7,3,6,2]=>{{1},{2,5},{3,4,7},{6}}
[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}
[1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}
[1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,2,4,3,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,2,4,7,3]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,2,7,4,3]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,3,2,4,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,3,2,7,4]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,3,4,2,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,3,4,7,2]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,3,7,2,4]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,4,3,2,7]=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}
[1,5,6,4,7,2,3]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}
[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}
[1,5,6,7,2,4,3]=>{{1},{2,5},{3,6},{4,7}}
[1,5,6,7,3,2,4]=>{{1},{2,5},{3,6},{4,7}}
[1,5,6,7,3,4,2]=>{{1},{2,5},{3,6},{4,7}}
[1,5,6,7,4,2,3]=>{{1},{2,5},{3,6},{4,7}}
[1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}
[1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,2,3,6,4]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,2,4,3,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,2,4,6,3]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,2,6,3,4]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,2,6,4,3]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,3,2,4,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,3,2,6,4]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,3,4,2,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,3,4,6,2]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,3,6,4,2]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,4,2,3,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,4,3,2,6]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,4,3,6,2]=>{{1},{2,5},{3,7},{4},{6}}
[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,4,6,3,2]=>{{1},{2,5,6},{3,7},{4}}
[1,5,7,6,2,3,4]=>{{1},{2,5},{3,7},{4,6}}
[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}
[1,5,7,6,3,2,4]=>{{1},{2,5},{3,7},{4,6}}
[1,5,7,6,3,4,2]=>{{1},{2,5},{3,7},{4,6}}
[1,5,7,6,4,2,3]=>{{1},{2,5},{3,7},{4,6}}
[1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}
[1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,2,3,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,3,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,2,3,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,2,4,3,5,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,4,3,7,5]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,2,4,5,3,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,4,5,7,3]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,2,4,7,3,5]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,2,4,7,5,3]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,2,5,3,4,7]=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,5,3,7,4]=>{{1},{2,6,7},{3},{4,5}}
[1,6,2,5,4,3,7]=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,5,4,7,3]=>{{1},{2,6,7},{3},{4,5}}
[1,6,2,5,7,3,4]=>{{1},{2,6},{3},{4,5,7}}
[1,6,2,5,7,4,3]=>{{1},{2,6},{3},{4,5,7}}
[1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,2,7,3,5,4]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,2,7,4,3,5]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,2,7,4,5,3]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,2,7,5,3,4]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,2,7,5,4,3]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,2,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,3,2,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,3,2,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,3,2,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,3,2,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,3,2,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,3,4,2,5,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,3,4,2,7,5]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}
[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,3,4,7,5,2]=>{{1},{2,6},{3},{4},{5,7}}
[1,6,3,5,2,4,7]=>{{1},{2,6},{3},{4,5},{7}}
[1,6,3,5,2,7,4]=>{{1},{2,6,7},{3},{4,5}}
[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}
[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}
[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}
[1,6,3,5,7,4,2]=>{{1},{2,6},{3},{4,5,7}}
[1,6,3,7,2,4,5]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,7,2,5,4]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,7,4,5,2]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,3,7,5,4,2]=>{{1},{2,6},{3},{4,7},{5}}
[1,6,4,2,3,5,7]=>{{1},{2,6},{3,4},{5},{7}}
[1,6,4,2,3,7,5]=>{{1},{2,6,7},{3,4},{5}}
[1,6,4,2,5,3,7]=>{{1},{2,6},{3,4},{5},{7}}
[1,6,4,2,5,7,3]=>{{1},{2,6,7},{3,4},{5}}
[1,6,4,2,7,3,5]=>{{1},{2,6},{3,4},{5,7}}
[1,6,4,2,7,5,3]=>{{1},{2,6},{3,4},{5,7}}
[1,6,4,3,2,5,7]=>{{1},{2,6},{3,4},{5},{7}}
[1,6,4,3,2,7,5]=>{{1},{2,6,7},{3,4},{5}}
[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}
[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}
[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}
[1,6,4,3,7,5,2]=>{{1},{2,6},{3,4},{5,7}}
[1,6,4,5,2,3,7]=>{{1},{2,6},{3,4,5},{7}}
[1,6,4,5,2,7,3]=>{{1},{2,6,7},{3,4,5}}
[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}
[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}
[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}
[1,6,4,5,7,3,2]=>{{1},{2,6},{3,4,5,7}}
[1,6,4,7,2,3,5]=>{{1},{2,6},{3,4,7},{5}}
[1,6,4,7,2,5,3]=>{{1},{2,6},{3,4,7},{5}}
[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,7},{5}}
[1,6,4,7,3,5,2]=>{{1},{2,6},{3,4,7},{5}}
[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}
[1,6,4,7,5,3,2]=>{{1},{2,6},{3,4,7},{5}}
[1,6,5,2,3,4,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,2,3,7,4]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,2,4,3,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,2,4,7,3]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,2,7,3,4]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,2,7,4,3]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,3,2,4,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,3,2,7,4]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,3,4,2,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,3,7,2,4]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,3,7,4,2]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,4,2,3,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,4,2,7,3]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}
[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}
[1,6,5,7,2,3,4]=>{{1},{2,6},{3,5},{4,7}}
[1,6,5,7,2,4,3]=>{{1},{2,6},{3,5},{4,7}}
[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}
[1,6,5,7,3,4,2]=>{{1},{2,6},{3,5},{4,7}}
[1,6,5,7,4,2,3]=>{{1},{2,6},{3,5},{4,7}}
[1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}
[1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,2,3,5,4]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,2,4,3,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,2,4,5,3]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,2,5,3,4]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,2,5,4,3]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,2,4,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,2,5,4]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,4,2,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,4,5,2]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,5,2,4]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,3,5,4,2]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,2,3,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,2,5,3]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,3,2,5]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,3,5,2]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,4,5,3,2]=>{{1},{2,6},{3,7},{4},{5}}
[1,6,7,5,2,3,4]=>{{1},{2,6},{3,7},{4,5}}
[1,6,7,5,2,4,3]=>{{1},{2,6},{3,7},{4,5}}
[1,6,7,5,3,2,4]=>{{1},{2,6},{3,7},{4,5}}
[1,6,7,5,3,4,2]=>{{1},{2,6},{3,7},{4,5}}
[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}
[1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}
[1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,3,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,4,3,5,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,4,3,6,5]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,4,5,3,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,4,5,6,3]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,4,6,3,5]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,4,6,5,3]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,5,3,4,6]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,5,3,6,4]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,5,4,3,6]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,5,4,6,3]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,5,6,3,4]=>{{1},{2,7},{3},{4,5,6}}
[1,7,2,5,6,4,3]=>{{1},{2,7},{3},{4,5,6}}
[1,7,2,6,3,4,5]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,3,5,4]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,4,3,5]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,4,5,3]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,5,3,4]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,5,4,3]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,2,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,2,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,2,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,2,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,2,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,3,2,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,3,4,2,5,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,4,2,6,5]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,4,5,2,6]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,3,4,6,2,5]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}
[1,7,3,5,2,4,6]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,3,5,2,6,4]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,3,5,4,2,6]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}
[1,7,3,5,6,2,4]=>{{1},{2,7},{3},{4,5,6}}
[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}
[1,7,3,6,2,4,5]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,6,2,5,4]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,6,4,2,5]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,6,5,2,4]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}
[1,7,4,2,3,5,6]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,2,3,6,5]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,2,5,3,6]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,2,5,6,3]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,2,6,3,5]=>{{1},{2,7},{3,4},{5,6}}
[1,7,4,2,6,5,3]=>{{1},{2,7},{3,4},{5,6}}
[1,7,4,3,2,5,6]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,3,2,6,5]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,3,5,2,6]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}
[1,7,4,3,6,2,5]=>{{1},{2,7},{3,4},{5,6}}
[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}
[1,7,4,5,2,3,6]=>{{1},{2,7},{3,4,5},{6}}
[1,7,4,5,2,6,3]=>{{1},{2,7},{3,4,5},{6}}
[1,7,4,5,3,2,6]=>{{1},{2,7},{3,4,5},{6}}
[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}
[1,7,4,5,6,2,3]=>{{1},{2,7},{3,4,5,6}}
[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}
[1,7,4,6,2,3,5]=>{{1},{2,7},{3,4,6},{5}}
[1,7,4,6,2,5,3]=>{{1},{2,7},{3,4,6},{5}}
[1,7,4,6,3,2,5]=>{{1},{2,7},{3,4,6},{5}}
[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,6},{5}}
[1,7,4,6,5,2,3]=>{{1},{2,7},{3,4,6},{5}}
[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}
[1,7,5,2,3,4,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,2,3,6,4]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,2,4,3,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,2,4,6,3]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,2,6,3,4]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,2,6,4,3]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,3,2,4,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,3,2,6,4]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,3,4,2,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,3,4,6,2]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,3,6,2,4]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,3,6,4,2]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,4,2,3,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,4,2,6,3]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,4,3,2,6]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}
[1,7,5,4,6,2,3]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}
[1,7,5,6,2,3,4]=>{{1},{2,7},{3,5},{4,6}}
[1,7,5,6,2,4,3]=>{{1},{2,7},{3,5},{4,6}}
[1,7,5,6,3,2,4]=>{{1},{2,7},{3,5},{4,6}}
[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}
[1,7,5,6,4,2,3]=>{{1},{2,7},{3,5},{4,6}}
[1,7,5,6,4,3,2]=>{{1},{2,7},{3,5},{4,6}}
[1,7,6,2,3,4,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,3,5,4]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,4,3,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,4,5,3]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,5,3,4]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,5,4,3]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,2,4,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,2,5,4]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,4,2,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,4,5,2]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,5,2,4]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,5,4,2]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,2,3,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,2,5,3]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,3,2,5]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,3,5,2]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,5,2,3]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,5,2,3,4]=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,2,4,3]=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,3,2,4]=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,3,4,2]=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,4,2,3]=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}
[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}
[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}
[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}
[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}
[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}
[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}
[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}
[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}
[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}
[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}
[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}
[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}
[2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}
[2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}
[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}
[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}
[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}
[2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}
[2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,4,6,5]=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,5,4,6]=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,6,4,5]=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}
[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}
[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}
[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}
[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}
[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}
[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}
[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}
[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}
[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}
[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}
[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}
[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}
[2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}
[2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}
[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}
[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}
[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}
[2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}
[2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}
[2,1,4,7,3,6,5]=>{{1,2},{3,4,7},{5},{6}}
[2,1,4,7,5,3,6]=>{{1,2},{3,4,7},{5},{6}}
[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}
[2,1,4,7,6,3,5]=>{{1,2},{3,4,7},{5,6}}
[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}
[2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}
[2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}
[2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}
[2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}
[2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}
[2,1,5,3,7,6,4]=>{{1,2},{3,5,7},{4},{6}}
[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}
[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}
[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}
[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}
[2,1,5,4,7,3,6]=>{{1,2},{3,5,7},{4},{6}}
[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}
[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}
[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}
[2,1,5,6,4,3,7]=>{{1,2},{3,5},{4,6},{7}}
[2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}
[2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}
[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}
[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}
[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}
[2,1,5,7,4,3,6]=>{{1,2},{3,5},{4,7},{6}}
[2,1,5,7,4,6,3]=>{{1,2},{3,5},{4,7},{6}}
[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}
[2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}
[2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}
[2,1,6,3,5,4,7]=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,3,5,7,4]=>{{1,2},{3,6,7},{4},{5}}
[2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}
[2,1,6,3,7,5,4]=>{{1,2},{3,6},{4},{5,7}}
[2,1,6,4,3,5,7]=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,4,3,7,5]=>{{1,2},{3,6,7},{4},{5}}
[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}
[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}
[2,1,6,4,7,5,3]=>{{1,2},{3,6},{4},{5,7}}
[2,1,6,5,3,4,7]=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,5,3,7,4]=>{{1,2},{3,6,7},{4,5}}
[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}
[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}
[2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}
[2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}
[2,1,6,7,3,5,4]=>{{1,2},{3,6},{4,7},{5}}
[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,7},{5}}
[2,1,6,7,4,5,3]=>{{1,2},{3,6},{4,7},{5}}
[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}
[2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}
[2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,4,6,5]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,5,4,6]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,5,6,4]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,6,4,5]=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,3,6,5,4]=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,4,3,5,6]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,4,3,6,5]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,4,5,3,6]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,4,6,3,5]=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,5,3,4,6]=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,5,3,6,4]=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,5,4,3,6]=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,5,6,3,4]=>{{1,2},{3,7},{4,5,6}}
[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}
[2,1,7,6,3,4,5]=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,3,5,4]=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,4,3,5]=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,5,3,4]=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}
[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}
[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}
[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}
[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}
[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}
[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}
[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}
[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}
[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}
[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}
[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}
[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}
[2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}
[2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}
[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}
[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}
[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}
[2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}
[2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}
[2,3,1,7,4,6,5]=>{{1,2,3},{4,7},{5},{6}}
[2,3,1,7,5,4,6]=>{{1,2,3},{4,7},{5},{6}}
[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}
[2,3,1,7,6,4,5]=>{{1,2,3},{4,7},{5,6}}
[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}
[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}
[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}
[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}
[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}
[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}
[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}
[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}
[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}
[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}
[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}
[2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}
[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}
[2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}
[2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}
[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}
[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}
[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}
[2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}
[2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}
[2,3,4,7,1,6,5]=>{{1,2,3,4,7},{5},{6}}
[2,3,4,7,5,1,6]=>{{1,2,3,4,7},{5},{6}}
[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}
[2,3,4,7,6,1,5]=>{{1,2,3,4,7},{5,6}}
[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}
[2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}
[2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}
[2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}
[2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}
[2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}
[2,3,5,1,7,6,4]=>{{1,2,3,5,7},{4},{6}}
[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}
[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}
[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}
[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}
[2,3,5,4,7,1,6]=>{{1,2,3,5,7},{4},{6}}
[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}
[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}
[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}
[2,3,5,6,4,1,7]=>{{1,2,3,5},{4,6},{7}}
[2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}
[2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}
[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}
[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}
[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}
[2,3,5,7,4,1,6]=>{{1,2,3,5},{4,7},{6}}
[2,3,5,7,4,6,1]=>{{1,2,3,5},{4,7},{6}}
[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}
[2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}
[2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}
[2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}
[2,3,6,1,5,4,7]=>{{1,2,3,6},{4},{5},{7}}
[2,3,6,1,5,7,4]=>{{1,2,3,6,7},{4},{5}}
[2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}
[2,3,6,1,7,5,4]=>{{1,2,3,6},{4},{5,7}}
[2,3,6,4,1,5,7]=>{{1,2,3,6},{4},{5},{7}}
[2,3,6,4,1,7,5]=>{{1,2,3,6,7},{4},{5}}
[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}
[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}
[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}
[2,3,6,4,7,5,1]=>{{1,2,3,6},{4},{5,7}}
[2,3,6,5,1,4,7]=>{{1,2,3,6},{4,5},{7}}
[2,3,6,5,1,7,4]=>{{1,2,3,6,7},{4,5}}
[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}
[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}
[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}
[2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}
[2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}
[2,3,6,7,1,5,4]=>{{1,2,3,6},{4,7},{5}}
[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,7},{5}}
[2,3,6,7,4,5,1]=>{{1,2,3,6},{4,7},{5}}
[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}
[2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}
[2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,1,4,6,5]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,1,5,4,6]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,1,5,6,4]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,1,6,4,5]=>{{1,2,3,7},{4},{5,6}}
[2,3,7,1,6,5,4]=>{{1,2,3,7},{4},{5,6}}
[2,3,7,4,1,5,6]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,4,1,6,5]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,4,5,1,6]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}
[2,3,7,4,6,1,5]=>{{1,2,3,7},{4},{5,6}}
[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}
[2,3,7,5,1,4,6]=>{{1,2,3,7},{4,5},{6}}
[2,3,7,5,1,6,4]=>{{1,2,3,7},{4,5},{6}}
[2,3,7,5,4,1,6]=>{{1,2,3,7},{4,5},{6}}
[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}
[2,3,7,5,6,1,4]=>{{1,2,3,7},{4,5,6}}
[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}
[2,3,7,6,1,4,5]=>{{1,2,3,7},{4,6},{5}}
[2,3,7,6,1,5,4]=>{{1,2,3,7},{4,6},{5}}
[2,3,7,6,4,1,5]=>{{1,2,3,7},{4,6},{5}}
[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,6},{5}}
[2,3,7,6,5,1,4]=>{{1,2,3,7},{4,6},{5}}
[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}
[2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}
[2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}
[2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}
[2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}
[2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}
[2,4,1,3,7,6,5]=>{{1,2,4},{3},{5,7},{6}}
[2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}
[2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}
[2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}
[2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}
[2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}
[2,4,1,5,7,6,3]=>{{1,2,4,5,7},{3},{6}}
[2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}
[2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}
[2,4,1,6,5,3,7]=>{{1,2,4,6},{3},{5},{7}}
[2,4,1,6,5,7,3]=>{{1,2,4,6,7},{3},{5}}
[2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}
[2,4,1,6,7,5,3]=>{{1,2,4,6},{3},{5,7}}
[2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}
[2,4,1,7,3,6,5]=>{{1,2,4,7},{3},{5},{6}}
[2,4,1,7,5,3,6]=>{{1,2,4,7},{3},{5},{6}}
[2,4,1,7,5,6,3]=>{{1,2,4,7},{3},{5},{6}}
[2,4,1,7,6,3,5]=>{{1,2,4,7},{3},{5,6}}
[2,4,1,7,6,5,3]=>{{1,2,4,7},{3},{5,6}}
[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}
[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}
[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}
[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}
[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,7},{6}}
[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}
[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}
[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}
[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}
[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}
[2,4,3,5,7,1,6]=>{{1,2,4,5,7},{3},{6}}
[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}
[2,4,3,6,1,5,7]=>{{1,2,4,6},{3},{5},{7}}
[2,4,3,6,1,7,5]=>{{1,2,4,6,7},{3},{5}}
[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}
[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}
[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}
[2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}
[2,4,3,7,1,5,6]=>{{1,2,4,7},{3},{5},{6}}
[2,4,3,7,1,6,5]=>{{1,2,4,7},{3},{5},{6}}
[2,4,3,7,5,1,6]=>{{1,2,4,7},{3},{5},{6}}
[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}
[2,4,3,7,6,1,5]=>{{1,2,4,7},{3},{5,6}}
[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}
[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}
[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}
[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}
[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}
[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}
[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}
[2,4,5,3,1,6,7]=>{{1,2,4},{3,5},{6},{7}}
[2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}
[2,4,5,3,6,1,7]=>{{1,2,4},{3,5,6},{7}}
[2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}
[2,4,5,3,7,1,6]=>{{1,2,4},{3,5,7},{6}}
[2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}
[2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}
[2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}
[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}
[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}
[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}
[2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}
[2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}
[2,4,5,7,1,6,3]=>{{1,2,4,7},{3,5},{6}}
[2,4,5,7,3,1,6]=>{{1,2,4,7},{3,5},{6}}
[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}
[2,4,5,7,6,1,3]=>{{1,2,4,7},{3,5,6}}
[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}
[2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}
[2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}
[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}
[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}
[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}
[2,4,6,1,7,5,3]=>{{1,2,4},{3,6},{5,7}}
[2,4,6,3,1,5,7]=>{{1,2,4},{3,6},{5},{7}}
[2,4,6,3,1,7,5]=>{{1,2,4},{3,6,7},{5}}
[2,4,6,3,5,1,7]=>{{1,2,4},{3,6},{5},{7}}
[2,4,6,3,5,7,1]=>{{1,2,4},{3,6,7},{5}}
[2,4,6,3,7,1,5]=>{{1,2,4},{3,6},{5,7}}
[2,4,6,3,7,5,1]=>{{1,2,4},{3,6},{5,7}}
[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}
[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}
[2,4,6,5,3,1,7]=>{{1,2,4,5},{3,6},{7}}
[2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}
[2,4,6,5,7,1,3]=>{{1,2,4,5,7},{3,6}}
[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}
[2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}
[2,4,6,7,1,5,3]=>{{1,2,4,7},{3,6},{5}}
[2,4,6,7,3,1,5]=>{{1,2,4,7},{3,6},{5}}
[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,6},{5}}
[2,4,6,7,5,1,3]=>{{1,2,4,7},{3,6},{5}}
[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}
[2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,1,3,6,5]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,1,5,3,6]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,1,6,3,5]=>{{1,2,4},{3,7},{5,6}}
[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}
[2,4,7,3,1,5,6]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,3,1,6,5]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,3,5,1,6]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,3,5,6,1]=>{{1,2,4},{3,7},{5},{6}}
[2,4,7,3,6,1,5]=>{{1,2,4},{3,7},{5,6}}
[2,4,7,3,6,5,1]=>{{1,2,4},{3,7},{5,6}}
[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,7},{6}}
[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}
[2,4,7,5,3,1,6]=>{{1,2,4,5},{3,7},{6}}
[2,4,7,5,3,6,1]=>{{1,2,4,5},{3,7},{6}}
[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}
[2,4,7,5,6,3,1]=>{{1,2,4,5,6},{3,7}}
[2,4,7,6,1,3,5]=>{{1,2,4,6},{3,7},{5}}
[2,4,7,6,1,5,3]=>{{1,2,4,6},{3,7},{5}}
[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,7},{5}}
[2,4,7,6,3,5,1]=>{{1,2,4,6},{3,7},{5}}
[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}
[2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}
[2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}
[2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}
[2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}
[2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}
[2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}
[2,5,1,3,7,6,4]=>{{1,2,5,7},{3},{4},{6}}
[2,5,1,4,3,6,7]=>{{1,2,5},{3},{4},{6},{7}}
[2,5,1,4,3,7,6]=>{{1,2,5},{3},{4},{6,7}}
[2,5,1,4,6,3,7]=>{{1,2,5,6},{3},{4},{7}}
[2,5,1,4,6,7,3]=>{{1,2,5,6,7},{3},{4}}
[2,5,1,4,7,3,6]=>{{1,2,5,7},{3},{4},{6}}
[2,5,1,4,7,6,3]=>{{1,2,5,7},{3},{4},{6}}
[2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}
[2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}
[2,5,1,6,4,3,7]=>{{1,2,5},{3},{4,6},{7}}
[2,5,1,6,4,7,3]=>{{1,2,5},{3},{4,6,7}}
[2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}
[2,5,1,6,7,4,3]=>{{1,2,5,7},{3},{4,6}}
[2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}
[2,5,1,7,3,6,4]=>{{1,2,5},{3},{4,7},{6}}
[2,5,1,7,4,3,6]=>{{1,2,5},{3},{4,7},{6}}
[2,5,1,7,4,6,3]=>{{1,2,5},{3},{4,7},{6}}
[2,5,1,7,6,3,4]=>{{1,2,5,6},{3},{4,7}}
[2,5,1,7,6,4,3]=>{{1,2,5,6},{3},{4,7}}
[2,5,3,1,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}
[2,5,3,1,4,7,6]=>{{1,2,5},{3},{4},{6,7}}
[2,5,3,1,6,4,7]=>{{1,2,5,6},{3},{4},{7}}
[2,5,3,1,6,7,4]=>{{1,2,5,6,7},{3},{4}}
[2,5,3,1,7,4,6]=>{{1,2,5,7},{3},{4},{6}}
[2,5,3,1,7,6,4]=>{{1,2,5,7},{3},{4},{6}}
[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}
[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}
[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}
[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}
[2,5,3,4,7,1,6]=>{{1,2,5,7},{3},{4},{6}}
[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}
[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}
[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}
[2,5,3,6,4,1,7]=>{{1,2,5},{3},{4,6},{7}}
[2,5,3,6,4,7,1]=>{{1,2,5},{3},{4,6,7}}
[2,5,3,6,7,1,4]=>{{1,2,5,7},{3},{4,6}}
[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}
[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,7},{6}}
[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}
[2,5,3,7,4,1,6]=>{{1,2,5},{3},{4,7},{6}}
[2,5,3,7,4,6,1]=>{{1,2,5},{3},{4,7},{6}}
[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}
[2,5,3,7,6,4,1]=>{{1,2,5,6},{3},{4,7}}
[2,5,4,1,3,6,7]=>{{1,2,5},{3,4},{6},{7}}
[2,5,4,1,3,7,6]=>{{1,2,5},{3,4},{6,7}}
[2,5,4,1,6,3,7]=>{{1,2,5,6},{3,4},{7}}
[2,5,4,1,6,7,3]=>{{1,2,5,6,7},{3,4}}
[2,5,4,1,7,3,6]=>{{1,2,5,7},{3,4},{6}}
[2,5,4,1,7,6,3]=>{{1,2,5,7},{3,4},{6}}
[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}
[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}
[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}
[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}
[2,5,4,3,7,1,6]=>{{1,2,5,7},{3,4},{6}}
[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}
[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}
[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}
[2,5,4,6,3,1,7]=>{{1,2,5},{3,4,6},{7}}
[2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}
[2,5,4,6,7,1,3]=>{{1,2,5,7},{3,4,6}}
[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}
[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,7},{6}}
[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}
[2,5,4,7,3,1,6]=>{{1,2,5},{3,4,7},{6}}
[2,5,4,7,3,6,1]=>{{1,2,5},{3,4,7},{6}}
[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}
[2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}
[2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,1,4,3,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,1,4,7,3]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,1,7,4,3]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,3,1,4,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,3,1,7,4]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,3,4,1,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,3,4,7,1]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,3,7,1,4]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,4,3,1,7]=>{{1,2,5},{3,6},{4},{7}}
[2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}
[2,5,6,4,7,1,3]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}
[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}
[2,5,6,7,1,4,3]=>{{1,2,5},{3,6},{4,7}}
[2,5,6,7,3,1,4]=>{{1,2,5},{3,6},{4,7}}
[2,5,6,7,3,4,1]=>{{1,2,5},{3,6},{4,7}}
[2,5,6,7,4,1,3]=>{{1,2,5},{3,6},{4,7}}
[2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}
[2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,1,3,6,4]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,1,4,3,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,1,4,6,3]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,1,6,3,4]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,1,6,4,3]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,3,1,4,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,3,1,6,4]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,3,4,1,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,3,4,6,1]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,3,6,4,1]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,4,1,3,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,4,3,1,6]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,4,3,6,1]=>{{1,2,5},{3,7},{4},{6}}
[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,4,6,3,1]=>{{1,2,5,6},{3,7},{4}}
[2,5,7,6,1,3,4]=>{{1,2,5},{3,7},{4,6}}
[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}
[2,5,7,6,3,1,4]=>{{1,2,5},{3,7},{4,6}}
[2,5,7,6,3,4,1]=>{{1,2,5},{3,7},{4,6}}
[2,5,7,6,4,1,3]=>{{1,2,5},{3,7},{4,6}}
[2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}
[2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}
[2,6,1,3,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,1,3,5,7,4]=>{{1,2,6,7},{3},{4},{5}}
[2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}
[2,6,1,3,7,5,4]=>{{1,2,6},{3},{4},{5,7}}
[2,6,1,4,3,5,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,1,4,3,7,5]=>{{1,2,6,7},{3},{4},{5}}
[2,6,1,4,5,3,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,1,4,5,7,3]=>{{1,2,6,7},{3},{4},{5}}
[2,6,1,4,7,3,5]=>{{1,2,6},{3},{4},{5,7}}
[2,6,1,4,7,5,3]=>{{1,2,6},{3},{4},{5,7}}
[2,6,1,5,3,4,7]=>{{1,2,6},{3},{4,5},{7}}
[2,6,1,5,3,7,4]=>{{1,2,6,7},{3},{4,5}}
[2,6,1,5,4,3,7]=>{{1,2,6},{3},{4,5},{7}}
[2,6,1,5,4,7,3]=>{{1,2,6,7},{3},{4,5}}
[2,6,1,5,7,3,4]=>{{1,2,6},{3},{4,5,7}}
[2,6,1,5,7,4,3]=>{{1,2,6},{3},{4,5,7}}
[2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}
[2,6,1,7,3,5,4]=>{{1,2,6},{3},{4,7},{5}}
[2,6,1,7,4,3,5]=>{{1,2,6},{3},{4,7},{5}}
[2,6,1,7,4,5,3]=>{{1,2,6},{3},{4,7},{5}}
[2,6,1,7,5,3,4]=>{{1,2,6},{3},{4,7},{5}}
[2,6,1,7,5,4,3]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,1,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,3,1,4,7,5]=>{{1,2,6,7},{3},{4},{5}}
[2,6,3,1,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,3,1,5,7,4]=>{{1,2,6,7},{3},{4},{5}}
[2,6,3,1,7,4,5]=>{{1,2,6},{3},{4},{5,7}}
[2,6,3,1,7,5,4]=>{{1,2,6},{3},{4},{5,7}}
[2,6,3,4,1,5,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,3,4,1,7,5]=>{{1,2,6,7},{3},{4},{5}}
[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}
[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}
[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}
[2,6,3,4,7,5,1]=>{{1,2,6},{3},{4},{5,7}}
[2,6,3,5,1,4,7]=>{{1,2,6},{3},{4,5},{7}}
[2,6,3,5,1,7,4]=>{{1,2,6,7},{3},{4,5}}
[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}
[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}
[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}
[2,6,3,5,7,4,1]=>{{1,2,6},{3},{4,5,7}}
[2,6,3,7,1,4,5]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,7,1,5,4]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,7,4,5,1]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}
[2,6,3,7,5,4,1]=>{{1,2,6},{3},{4,7},{5}}
[2,6,4,1,3,5,7]=>{{1,2,6},{3,4},{5},{7}}
[2,6,4,1,3,7,5]=>{{1,2,6,7},{3,4},{5}}
[2,6,4,1,5,3,7]=>{{1,2,6},{3,4},{5},{7}}
[2,6,4,1,5,7,3]=>{{1,2,6,7},{3,4},{5}}
[2,6,4,1,7,3,5]=>{{1,2,6},{3,4},{5,7}}
[2,6,4,1,7,5,3]=>{{1,2,6},{3,4},{5,7}}
[2,6,4,3,1,5,7]=>{{1,2,6},{3,4},{5},{7}}
[2,6,4,3,1,7,5]=>{{1,2,6,7},{3,4},{5}}
[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}
[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}
[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}
[2,6,4,3,7,5,1]=>{{1,2,6},{3,4},{5,7}}
[2,6,4,5,1,3,7]=>{{1,2,6},{3,4,5},{7}}
[2,6,4,5,1,7,3]=>{{1,2,6,7},{3,4,5}}
[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}
[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}
[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}
[2,6,4,5,7,3,1]=>{{1,2,6},{3,4,5,7}}
[2,6,4,7,1,3,5]=>{{1,2,6},{3,4,7},{5}}
[2,6,4,7,1,5,3]=>{{1,2,6},{3,4,7},{5}}
[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,7},{5}}
[2,6,4,7,3,5,1]=>{{1,2,6},{3,4,7},{5}}
[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}
[2,6,4,7,5,3,1]=>{{1,2,6},{3,4,7},{5}}
[2,6,5,1,3,4,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,1,3,7,4]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,1,4,3,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,1,4,7,3]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,1,7,3,4]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,1,7,4,3]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,3,1,4,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,3,1,7,4]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,3,4,1,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,3,7,1,4]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,3,7,4,1]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,4,1,3,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,4,1,7,3]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}
[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}
[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}
[2,6,5,7,1,3,4]=>{{1,2,6},{3,5},{4,7}}
[2,6,5,7,1,4,3]=>{{1,2,6},{3,5},{4,7}}
[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}
[2,6,5,7,3,4,1]=>{{1,2,6},{3,5},{4,7}}
[2,6,5,7,4,1,3]=>{{1,2,6},{3,5},{4,7}}
[2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}
[2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,1,3,5,4]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,1,4,3,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,1,4,5,3]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,1,5,3,4]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,1,5,4,3]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,1,4,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,1,5,4]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,4,1,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,4,5,1]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,5,1,4]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,3,5,4,1]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,1,3,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,1,5,3]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,3,1,5]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,3,5,1]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,4,5,3,1]=>{{1,2,6},{3,7},{4},{5}}
[2,6,7,5,1,3,4]=>{{1,2,6},{3,7},{4,5}}
[2,6,7,5,1,4,3]=>{{1,2,6},{3,7},{4,5}}
[2,6,7,5,3,1,4]=>{{1,2,6},{3,7},{4,5}}
[2,6,7,5,3,4,1]=>{{1,2,6},{3,7},{4,5}}
[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}
[2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}
[2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,3,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,3,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,3,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,3,6,4,5]=>{{1,2,7},{3},{4},{5,6}}
[2,7,1,3,6,5,4]=>{{1,2,7},{3},{4},{5,6}}
[2,7,1,4,3,5,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,4,3,6,5]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,4,5,3,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,4,5,6,3]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,1,4,6,3,5]=>{{1,2,7},{3},{4},{5,6}}
[2,7,1,4,6,5,3]=>{{1,2,7},{3},{4},{5,6}}
[2,7,1,5,3,4,6]=>{{1,2,7},{3},{4,5},{6}}
[2,7,1,5,3,6,4]=>{{1,2,7},{3},{4,5},{6}}
[2,7,1,5,4,3,6]=>{{1,2,7},{3},{4,5},{6}}
[2,7,1,5,4,6,3]=>{{1,2,7},{3},{4,5},{6}}
[2,7,1,5,6,3,4]=>{{1,2,7},{3},{4,5,6}}
[2,7,1,5,6,4,3]=>{{1,2,7},{3},{4,5,6}}
[2,7,1,6,3,4,5]=>{{1,2,7},{3},{4,6},{5}}
[2,7,1,6,3,5,4]=>{{1,2,7},{3},{4,6},{5}}
[2,7,1,6,4,3,5]=>{{1,2,7},{3},{4,6},{5}}
[2,7,1,6,4,5,3]=>{{1,2,7},{3},{4,6},{5}}
[2,7,1,6,5,3,4]=>{{1,2,7},{3},{4,6},{5}}
[2,7,1,6,5,4,3]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,1,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,1,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,1,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,1,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,1,6,4,5]=>{{1,2,7},{3},{4},{5,6}}
[2,7,3,1,6,5,4]=>{{1,2,7},{3},{4},{5,6}}
[2,7,3,4,1,5,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,4,1,6,5]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,4,5,1,6]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}
[2,7,3,4,6,1,5]=>{{1,2,7},{3},{4},{5,6}}
[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}
[2,7,3,5,1,4,6]=>{{1,2,7},{3},{4,5},{6}}
[2,7,3,5,1,6,4]=>{{1,2,7},{3},{4,5},{6}}
[2,7,3,5,4,1,6]=>{{1,2,7},{3},{4,5},{6}}
[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}
[2,7,3,5,6,1,4]=>{{1,2,7},{3},{4,5,6}}
[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}
[2,7,3,6,1,4,5]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,6,1,5,4]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,6,4,1,5]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,6,5,1,4]=>{{1,2,7},{3},{4,6},{5}}
[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}
[2,7,4,1,3,5,6]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,1,3,6,5]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,1,5,3,6]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,1,5,6,3]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,1,6,3,5]=>{{1,2,7},{3,4},{5,6}}
[2,7,4,1,6,5,3]=>{{1,2,7},{3,4},{5,6}}
[2,7,4,3,1,5,6]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,3,1,6,5]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,3,5,1,6]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}
[2,7,4,3,6,1,5]=>{{1,2,7},{3,4},{5,6}}
[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}
[2,7,4,5,1,3,6]=>{{1,2,7},{3,4,5},{6}}
[2,7,4,5,1,6,3]=>{{1,2,7},{3,4,5},{6}}
[2,7,4,5,3,1,6]=>{{1,2,7},{3,4,5},{6}}
[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}
[2,7,4,5,6,1,3]=>{{1,2,7},{3,4,5,6}}
[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}
[2,7,4,6,1,3,5]=>{{1,2,7},{3,4,6},{5}}
[2,7,4,6,1,5,3]=>{{1,2,7},{3,4,6},{5}}
[2,7,4,6,3,1,5]=>{{1,2,7},{3,4,6},{5}}
[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,6},{5}}
[2,7,4,6,5,1,3]=>{{1,2,7},{3,4,6},{5}}
[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}
[2,7,5,1,3,4,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,1,3,6,4]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,1,4,3,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,1,4,6,3]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,1,6,3,4]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,1,6,4,3]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,3,1,4,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,3,1,6,4]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,3,4,1,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,3,4,6,1]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,3,6,1,4]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,3,6,4,1]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,4,1,3,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,4,1,6,3]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,4,3,1,6]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}
[2,7,5,4,6,1,3]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}
[2,7,5,6,1,3,4]=>{{1,2,7},{3,5},{4,6}}
[2,7,5,6,1,4,3]=>{{1,2,7},{3,5},{4,6}}
[2,7,5,6,3,1,4]=>{{1,2,7},{3,5},{4,6}}
[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}
[2,7,5,6,4,1,3]=>{{1,2,7},{3,5},{4,6}}
[2,7,5,6,4,3,1]=>{{1,2,7},{3,5},{4,6}}
[2,7,6,1,3,4,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,1,3,5,4]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,1,4,3,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,1,4,5,3]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,1,5,3,4]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,1,5,4,3]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,1,4,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,1,5,4]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,4,1,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,4,5,1]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,5,1,4]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,3,5,4,1]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,1,3,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,1,5,3]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,3,1,5]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,3,5,1]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,5,1,3]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}
[2,7,6,5,1,3,4]=>{{1,2,7},{3,6},{4,5}}
[2,7,6,5,1,4,3]=>{{1,2,7},{3,6},{4,5}}
[2,7,6,5,3,1,4]=>{{1,2,7},{3,6},{4,5}}
[2,7,6,5,3,4,1]=>{{1,2,7},{3,6},{4,5}}
[2,7,6,5,4,1,3]=>{{1,2,7},{3,6},{4,5}}
[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}
[3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}
[3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}
[3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}
[3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}
[3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}
[3,1,2,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}
[3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}
[3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}
[3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}
[3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}
[3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}
[3,1,2,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}
[3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}
[3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}
[3,1,2,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}
[3,1,2,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}
[3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}
[3,1,2,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}
[3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}
[3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}
[3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}
[3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}
[3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}
[3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}
[3,1,4,2,7,6,5]=>{{1,3,4},{2},{5,7},{6}}
[3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}
[3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}
[3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}
[3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}
[3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}
[3,1,4,5,7,6,2]=>{{1,3,4,5,7},{2},{6}}
[3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}
[3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}
[3,1,4,6,5,2,7]=>{{1,3,4,6},{2},{5},{7}}
[3,1,4,6,5,7,2]=>{{1,3,4,6,7},{2},{5}}
[3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}
[3,1,4,6,7,5,2]=>{{1,3,4,6},{2},{5,7}}
[3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}
[3,1,4,7,2,6,5]=>{{1,3,4,7},{2},{5},{6}}
[3,1,4,7,5,2,6]=>{{1,3,4,7},{2},{5},{6}}
[3,1,4,7,5,6,2]=>{{1,3,4,7},{2},{5},{6}}
[3,1,4,7,6,2,5]=>{{1,3,4,7},{2},{5,6}}
[3,1,4,7,6,5,2]=>{{1,3,4,7},{2},{5,6}}
[3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}
[3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}
[3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}
[3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}
[3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}
[3,1,5,2,7,6,4]=>{{1,3,5,7},{2},{4},{6}}
[3,1,5,4,2,6,7]=>{{1,3,5},{2},{4},{6},{7}}
[3,1,5,4,2,7,6]=>{{1,3,5},{2},{4},{6,7}}
[3,1,5,4,6,2,7]=>{{1,3,5,6},{2},{4},{7}}
[3,1,5,4,6,7,2]=>{{1,3,5,6,7},{2},{4}}
[3,1,5,4,7,2,6]=>{{1,3,5,7},{2},{4},{6}}
[3,1,5,4,7,6,2]=>{{1,3,5,7},{2},{4},{6}}
[3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}
[3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}
[3,1,5,6,4,2,7]=>{{1,3,5},{2},{4,6},{7}}
[3,1,5,6,4,7,2]=>{{1,3,5},{2},{4,6,7}}
[3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}
[3,1,5,6,7,4,2]=>{{1,3,5,7},{2},{4,6}}
[3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}
[3,1,5,7,2,6,4]=>{{1,3,5},{2},{4,7},{6}}
[3,1,5,7,4,2,6]=>{{1,3,5},{2},{4,7},{6}}
[3,1,5,7,4,6,2]=>{{1,3,5},{2},{4,7},{6}}
[3,1,5,7,6,2,4]=>{{1,3,5,6},{2},{4,7}}
[3,1,5,7,6,4,2]=>{{1,3,5,6},{2},{4,7}}
[3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}
[3,1,6,2,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,1,6,2,5,7,4]=>{{1,3,6,7},{2},{4},{5}}
[3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}
[3,1,6,2,7,5,4]=>{{1,3,6},{2},{4},{5,7}}
[3,1,6,4,2,5,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,1,6,4,2,7,5]=>{{1,3,6,7},{2},{4},{5}}
[3,1,6,4,5,2,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,1,6,4,5,7,2]=>{{1,3,6,7},{2},{4},{5}}
[3,1,6,4,7,2,5]=>{{1,3,6},{2},{4},{5,7}}
[3,1,6,4,7,5,2]=>{{1,3,6},{2},{4},{5,7}}
[3,1,6,5,2,4,7]=>{{1,3,6},{2},{4,5},{7}}
[3,1,6,5,2,7,4]=>{{1,3,6,7},{2},{4,5}}
[3,1,6,5,4,2,7]=>{{1,3,6},{2},{4,5},{7}}
[3,1,6,5,4,7,2]=>{{1,3,6,7},{2},{4,5}}
[3,1,6,5,7,2,4]=>{{1,3,6},{2},{4,5,7}}
[3,1,6,5,7,4,2]=>{{1,3,6},{2},{4,5,7}}
[3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}
[3,1,6,7,2,5,4]=>{{1,3,6},{2},{4,7},{5}}
[3,1,6,7,4,2,5]=>{{1,3,6},{2},{4,7},{5}}
[3,1,6,7,4,5,2]=>{{1,3,6},{2},{4,7},{5}}
[3,1,6,7,5,2,4]=>{{1,3,6},{2},{4,7},{5}}
[3,1,6,7,5,4,2]=>{{1,3,6},{2},{4,7},{5}}
[3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,2,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,2,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,2,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,2,6,4,5]=>{{1,3,7},{2},{4},{5,6}}
[3,1,7,2,6,5,4]=>{{1,3,7},{2},{4},{5,6}}
[3,1,7,4,2,5,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,4,2,6,5]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,4,5,2,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,4,5,6,2]=>{{1,3,7},{2},{4},{5},{6}}
[3,1,7,4,6,2,5]=>{{1,3,7},{2},{4},{5,6}}
[3,1,7,4,6,5,2]=>{{1,3,7},{2},{4},{5,6}}
[3,1,7,5,2,4,6]=>{{1,3,7},{2},{4,5},{6}}
[3,1,7,5,2,6,4]=>{{1,3,7},{2},{4,5},{6}}
[3,1,7,5,4,2,6]=>{{1,3,7},{2},{4,5},{6}}
[3,1,7,5,4,6,2]=>{{1,3,7},{2},{4,5},{6}}
[3,1,7,5,6,2,4]=>{{1,3,7},{2},{4,5,6}}
[3,1,7,5,6,4,2]=>{{1,3,7},{2},{4,5,6}}
[3,1,7,6,2,4,5]=>{{1,3,7},{2},{4,6},{5}}
[3,1,7,6,2,5,4]=>{{1,3,7},{2},{4,6},{5}}
[3,1,7,6,4,2,5]=>{{1,3,7},{2},{4,6},{5}}
[3,1,7,6,4,5,2]=>{{1,3,7},{2},{4,6},{5}}
[3,1,7,6,5,2,4]=>{{1,3,7},{2},{4,6},{5}}
[3,1,7,6,5,4,2]=>{{1,3,7},{2},{4,6},{5}}
[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}
[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}
[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}
[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}
[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}
[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}
[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}
[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}
[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}
[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}
[3,2,1,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}
[3,2,1,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}
[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}
[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}
[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}
[3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}
[3,2,1,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}
[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}
[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}
[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}
[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}
[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,7},{6}}
[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}
[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}
[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}
[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}
[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}
[3,2,4,5,7,1,6]=>{{1,3,4,5,7},{2},{6}}
[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}
[3,2,4,6,1,5,7]=>{{1,3,4,6},{2},{5},{7}}
[3,2,4,6,1,7,5]=>{{1,3,4,6,7},{2},{5}}
[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}
[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}
[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}
[3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}
[3,2,4,7,1,5,6]=>{{1,3,4,7},{2},{5},{6}}
[3,2,4,7,1,6,5]=>{{1,3,4,7},{2},{5},{6}}
[3,2,4,7,5,1,6]=>{{1,3,4,7},{2},{5},{6}}
[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}
[3,2,4,7,6,1,5]=>{{1,3,4,7},{2},{5,6}}
[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}
[3,2,5,1,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}
[3,2,5,1,4,7,6]=>{{1,3,5},{2},{4},{6,7}}
[3,2,5,1,6,4,7]=>{{1,3,5,6},{2},{4},{7}}
[3,2,5,1,6,7,4]=>{{1,3,5,6,7},{2},{4}}
[3,2,5,1,7,4,6]=>{{1,3,5,7},{2},{4},{6}}
[3,2,5,1,7,6,4]=>{{1,3,5,7},{2},{4},{6}}
[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}
[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}
[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}
[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}
[3,2,5,4,7,1,6]=>{{1,3,5,7},{2},{4},{6}}
[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}
[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}
[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}
[3,2,5,6,4,1,7]=>{{1,3,5},{2},{4,6},{7}}
[3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}
[3,2,5,6,7,1,4]=>{{1,3,5,7},{2},{4,6}}
[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}
[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,7},{6}}
[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}
[3,2,5,7,4,1,6]=>{{1,3,5},{2},{4,7},{6}}
[3,2,5,7,4,6,1]=>{{1,3,5},{2},{4,7},{6}}
[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}
[3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}
[3,2,6,1,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,2,6,1,4,7,5]=>{{1,3,6,7},{2},{4},{5}}
[3,2,6,1,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,2,6,1,5,7,4]=>{{1,3,6,7},{2},{4},{5}}
[3,2,6,1,7,4,5]=>{{1,3,6},{2},{4},{5,7}}
[3,2,6,1,7,5,4]=>{{1,3,6},{2},{4},{5,7}}
[3,2,6,4,1,5,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,2,6,4,1,7,5]=>{{1,3,6,7},{2},{4},{5}}
[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}
[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}
[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}
[3,2,6,4,7,5,1]=>{{1,3,6},{2},{4},{5,7}}
[3,2,6,5,1,4,7]=>{{1,3,6},{2},{4,5},{7}}
[3,2,6,5,1,7,4]=>{{1,3,6,7},{2},{4,5}}
[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}
[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}
[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}
[3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}
[3,2,6,7,1,4,5]=>{{1,3,6},{2},{4,7},{5}}
[3,2,6,7,1,5,4]=>{{1,3,6},{2},{4,7},{5}}
[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,7},{5}}
[3,2,6,7,4,5,1]=>{{1,3,6},{2},{4,7},{5}}
[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}
[3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}
[3,2,7,1,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,1,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,1,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,1,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,1,6,4,5]=>{{1,3,7},{2},{4},{5,6}}
[3,2,7,1,6,5,4]=>{{1,3,7},{2},{4},{5,6}}
[3,2,7,4,1,5,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,4,1,6,5]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,4,5,1,6]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}
[3,2,7,4,6,1,5]=>{{1,3,7},{2},{4},{5,6}}
[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}
[3,2,7,5,1,4,6]=>{{1,3,7},{2},{4,5},{6}}
[3,2,7,5,1,6,4]=>{{1,3,7},{2},{4,5},{6}}
[3,2,7,5,4,1,6]=>{{1,3,7},{2},{4,5},{6}}
[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}
[3,2,7,5,6,1,4]=>{{1,3,7},{2},{4,5,6}}
[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}
[3,2,7,6,1,4,5]=>{{1,3,7},{2},{4,6},{5}}
[3,2,7,6,1,5,4]=>{{1,3,7},{2},{4,6},{5}}
[3,2,7,6,4,1,5]=>{{1,3,7},{2},{4,6},{5}}
[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,6},{5}}
[3,2,7,6,5,1,4]=>{{1,3,7},{2},{4,6},{5}}
[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}
[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}
[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}
[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}
[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}
[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}
[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}
[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}
[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}
[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}
[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}
[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}
[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}
[3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}
[3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}
[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}
[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}
[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}
[3,4,1,6,7,5,2]=>{{1,3},{2,4,6},{5,7}}
[3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}
[3,4,1,7,2,6,5]=>{{1,3},{2,4,7},{5},{6}}
[3,4,1,7,5,2,6]=>{{1,3},{2,4,7},{5},{6}}
[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}
[3,4,1,7,6,2,5]=>{{1,3},{2,4,7},{5,6}}
[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}
[3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}
[3,4,2,1,5,7,6]=>{{1,3},{2,4},{5},{6,7}}
[3,4,2,1,6,5,7]=>{{1,3},{2,4},{5,6},{7}}
[3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}
[3,4,2,1,7,5,6]=>{{1,3},{2,4},{5,7},{6}}
[3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}
[3,4,2,5,1,6,7]=>{{1,3},{2,4,5},{6},{7}}
[3,4,2,5,1,7,6]=>{{1,3},{2,4,5},{6,7}}
[3,4,2,5,6,1,7]=>{{1,3},{2,4,5,6},{7}}
[3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}
[3,4,2,5,7,1,6]=>{{1,3},{2,4,5,7},{6}}
[3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}
[3,4,2,6,1,5,7]=>{{1,3},{2,4,6},{5},{7}}
[3,4,2,6,1,7,5]=>{{1,3},{2,4,6,7},{5}}
[3,4,2,6,5,1,7]=>{{1,3},{2,4,6},{5},{7}}
[3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}
[3,4,2,6,7,1,5]=>{{1,3},{2,4,6},{5,7}}
[3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}
[3,4,2,7,1,5,6]=>{{1,3},{2,4,7},{5},{6}}
[3,4,2,7,1,6,5]=>{{1,3},{2,4,7},{5},{6}}
[3,4,2,7,5,1,6]=>{{1,3},{2,4,7},{5},{6}}
[3,4,2,7,5,6,1]=>{{1,3},{2,4,7},{5},{6}}
[3,4,2,7,6,1,5]=>{{1,3},{2,4,7},{5,6}}
[3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}
[3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}
[3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}
[3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}
[3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}
[3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}
[3,4,5,1,7,6,2]=>{{1,3,5,7},{2,4},{6}}
[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}
[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}
[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}
[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}
[3,4,5,2,7,1,6]=>{{1,3,5,7},{2,4},{6}}
[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}
[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}
[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}
[3,4,5,6,2,1,7]=>{{1,3,5},{2,4,6},{7}}
[3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}
[3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}
[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}
[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}
[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}
[3,4,5,7,2,1,6]=>{{1,3,5},{2,4,7},{6}}
[3,4,5,7,2,6,1]=>{{1,3,5},{2,4,7},{6}}
[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}
[3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}
[3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}
[3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}
[3,4,6,1,5,2,7]=>{{1,3,6},{2,4},{5},{7}}
[3,4,6,1,5,7,2]=>{{1,3,6,7},{2,4},{5}}
[3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}
[3,4,6,1,7,5,2]=>{{1,3,6},{2,4},{5,7}}
[3,4,6,2,1,5,7]=>{{1,3,6},{2,4},{5},{7}}
[3,4,6,2,1,7,5]=>{{1,3,6,7},{2,4},{5}}
[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}
[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}
[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}
[3,4,6,2,7,5,1]=>{{1,3,6},{2,4},{5,7}}
[3,4,6,5,1,2,7]=>{{1,3,6},{2,4,5},{7}}
[3,4,6,5,1,7,2]=>{{1,3,6,7},{2,4,5}}
[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}
[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}
[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}
[3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}
[3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}
[3,4,6,7,1,5,2]=>{{1,3,6},{2,4,7},{5}}
[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,7},{5}}
[3,4,6,7,2,5,1]=>{{1,3,6},{2,4,7},{5}}
[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}
[3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}
[3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,1,2,6,5]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,1,5,2,6]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,1,5,6,2]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,1,6,2,5]=>{{1,3,7},{2,4},{5,6}}
[3,4,7,1,6,5,2]=>{{1,3,7},{2,4},{5,6}}
[3,4,7,2,1,5,6]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,2,1,6,5]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,2,5,1,6]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}
[3,4,7,2,6,1,5]=>{{1,3,7},{2,4},{5,6}}
[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}
[3,4,7,5,1,2,6]=>{{1,3,7},{2,4,5},{6}}
[3,4,7,5,1,6,2]=>{{1,3,7},{2,4,5},{6}}
[3,4,7,5,2,1,6]=>{{1,3,7},{2,4,5},{6}}
[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}
[3,4,7,5,6,1,2]=>{{1,3,7},{2,4,5,6}}
[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}
[3,4,7,6,1,2,5]=>{{1,3,7},{2,4,6},{5}}
[3,4,7,6,1,5,2]=>{{1,3,7},{2,4,6},{5}}
[3,4,7,6,2,1,5]=>{{1,3,7},{2,4,6},{5}}
[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,6},{5}}
[3,4,7,6,5,1,2]=>{{1,3,7},{2,4,6},{5}}
[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}
[3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}
[3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}
[3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}
[3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}
[3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}
[3,5,1,2,7,6,4]=>{{1,3},{2,5,7},{4},{6}}
[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}
[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}
[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}
[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}
[3,5,1,4,7,2,6]=>{{1,3},{2,5,7},{4},{6}}
[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}
[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}
[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}
[3,5,1,6,4,2,7]=>{{1,3},{2,5},{4,6},{7}}
[3,5,1,6,4,7,2]=>{{1,3},{2,5},{4,6,7}}
[3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}
[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}
[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}
[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}
[3,5,1,7,4,2,6]=>{{1,3},{2,5},{4,7},{6}}
[3,5,1,7,4,6,2]=>{{1,3},{2,5},{4,7},{6}}
[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}
[3,5,1,7,6,4,2]=>{{1,3},{2,5,6},{4,7}}
[3,5,2,1,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}
[3,5,2,1,4,7,6]=>{{1,3},{2,5},{4},{6,7}}
[3,5,2,1,6,4,7]=>{{1,3},{2,5,6},{4},{7}}
[3,5,2,1,6,7,4]=>{{1,3},{2,5,6,7},{4}}
[3,5,2,1,7,4,6]=>{{1,3},{2,5,7},{4},{6}}
[3,5,2,1,7,6,4]=>{{1,3},{2,5,7},{4},{6}}
[3,5,2,4,1,6,7]=>{{1,3},{2,5},{4},{6},{7}}
[3,5,2,4,1,7,6]=>{{1,3},{2,5},{4},{6,7}}
[3,5,2,4,6,1,7]=>{{1,3},{2,5,6},{4},{7}}
[3,5,2,4,6,7,1]=>{{1,3},{2,5,6,7},{4}}
[3,5,2,4,7,1,6]=>{{1,3},{2,5,7},{4},{6}}
[3,5,2,4,7,6,1]=>{{1,3},{2,5,7},{4},{6}}
[3,5,2,6,1,4,7]=>{{1,3},{2,5},{4,6},{7}}
[3,5,2,6,1,7,4]=>{{1,3},{2,5},{4,6,7}}
[3,5,2,6,4,1,7]=>{{1,3},{2,5},{4,6},{7}}
[3,5,2,6,4,7,1]=>{{1,3},{2,5},{4,6,7}}
[3,5,2,6,7,1,4]=>{{1,3},{2,5,7},{4,6}}
[3,5,2,6,7,4,1]=>{{1,3},{2,5,7},{4,6}}
[3,5,2,7,1,4,6]=>{{1,3},{2,5},{4,7},{6}}
[3,5,2,7,1,6,4]=>{{1,3},{2,5},{4,7},{6}}
[3,5,2,7,4,1,6]=>{{1,3},{2,5},{4,7},{6}}
[3,5,2,7,4,6,1]=>{{1,3},{2,5},{4,7},{6}}
[3,5,2,7,6,1,4]=>{{1,3},{2,5,6},{4,7}}
[3,5,2,7,6,4,1]=>{{1,3},{2,5,6},{4,7}}
[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}
[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}
[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}
[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}
[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,7},{6}}
[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}
[3,5,4,2,1,6,7]=>{{1,3,4},{2,5},{6},{7}}
[3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}
[3,5,4,2,6,1,7]=>{{1,3,4},{2,5,6},{7}}
[3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}
[3,5,4,2,7,1,6]=>{{1,3,4},{2,5,7},{6}}
[3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}
[3,5,4,6,1,2,7]=>{{1,3,4,6},{2,5},{7}}
[3,5,4,6,1,7,2]=>{{1,3,4,6,7},{2,5}}
[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}
[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}
[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}
[3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}
[3,5,4,7,1,2,6]=>{{1,3,4,7},{2,5},{6}}
[3,5,4,7,1,6,2]=>{{1,3,4,7},{2,5},{6}}
[3,5,4,7,2,1,6]=>{{1,3,4,7},{2,5},{6}}
[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}
[3,5,4,7,6,1,2]=>{{1,3,4,7},{2,5,6}}
[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}
[3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,1,4,2,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,1,4,7,2]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,1,7,4,2]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,2,1,4,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,2,1,7,4]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,2,4,1,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,2,7,1,4]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,2,7,4,1]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,4,1,2,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,4,1,7,2]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}
[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}
[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}
[3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}
[3,5,6,7,1,4,2]=>{{1,3,6},{2,5},{4,7}}
[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}
[3,5,6,7,2,4,1]=>{{1,3,6},{2,5},{4,7}}
[3,5,6,7,4,1,2]=>{{1,3,6},{2,5},{4,7}}
[3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}
[3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,1,2,6,4]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,1,4,2,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,1,4,6,2]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,1,6,2,4]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,1,6,4,2]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,2,1,4,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,2,1,6,4]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,2,4,1,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,2,4,6,1]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,2,6,1,4]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,2,6,4,1]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,4,1,2,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,4,1,6,2]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,4,2,1,6]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}
[3,5,7,4,6,1,2]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}
[3,5,7,6,1,2,4]=>{{1,3,7},{2,5},{4,6}}
[3,5,7,6,1,4,2]=>{{1,3,7},{2,5},{4,6}}
[3,5,7,6,2,1,4]=>{{1,3,7},{2,5},{4,6}}
[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}
[3,5,7,6,4,1,2]=>{{1,3,7},{2,5},{4,6}}
[3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}
[3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}
[3,6,1,2,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,1,2,5,7,4]=>{{1,3},{2,6,7},{4},{5}}
[3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}
[3,6,1,2,7,5,4]=>{{1,3},{2,6},{4},{5,7}}
[3,6,1,4,2,5,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,1,4,2,7,5]=>{{1,3},{2,6,7},{4},{5}}
[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}
[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}
[3,6,1,4,7,5,2]=>{{1,3},{2,6},{4},{5,7}}
[3,6,1,5,2,4,7]=>{{1,3},{2,6},{4,5},{7}}
[3,6,1,5,2,7,4]=>{{1,3},{2,6,7},{4,5}}
[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}
[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}
[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}
[3,6,1,5,7,4,2]=>{{1,3},{2,6},{4,5,7}}
[3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}
[3,6,1,7,2,5,4]=>{{1,3},{2,6},{4,7},{5}}
[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,7},{5}}
[3,6,1,7,4,5,2]=>{{1,3},{2,6},{4,7},{5}}
[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}
[3,6,1,7,5,4,2]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,1,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,2,1,4,7,5]=>{{1,3},{2,6,7},{4},{5}}
[3,6,2,1,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,2,1,5,7,4]=>{{1,3},{2,6,7},{4},{5}}
[3,6,2,1,7,4,5]=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,1,7,5,4]=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,4,1,5,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,2,4,1,7,5]=>{{1,3},{2,6,7},{4},{5}}
[3,6,2,4,5,1,7]=>{{1,3},{2,6},{4},{5},{7}}
[3,6,2,4,5,7,1]=>{{1,3},{2,6,7},{4},{5}}
[3,6,2,4,7,1,5]=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,4,7,5,1]=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,5,1,4,7]=>{{1,3},{2,6},{4,5},{7}}
[3,6,2,5,1,7,4]=>{{1,3},{2,6,7},{4,5}}
[3,6,2,5,4,1,7]=>{{1,3},{2,6},{4,5},{7}}
[3,6,2,5,4,7,1]=>{{1,3},{2,6,7},{4,5}}
[3,6,2,5,7,1,4]=>{{1,3},{2,6},{4,5,7}}
[3,6,2,5,7,4,1]=>{{1,3},{2,6},{4,5,7}}
[3,6,2,7,1,4,5]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,7,1,5,4]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,7,4,1,5]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,7,4,5,1]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,7,5,1,4]=>{{1,3},{2,6},{4,7},{5}}
[3,6,2,7,5,4,1]=>{{1,3},{2,6},{4,7},{5}}
[3,6,4,1,2,5,7]=>{{1,3,4},{2,6},{5},{7}}
[3,6,4,1,2,7,5]=>{{1,3,4},{2,6,7},{5}}
[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}
[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}
[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}
[3,6,4,1,7,5,2]=>{{1,3,4},{2,6},{5,7}}
[3,6,4,2,1,5,7]=>{{1,3,4},{2,6},{5},{7}}
[3,6,4,2,1,7,5]=>{{1,3,4},{2,6,7},{5}}
[3,6,4,2,5,1,7]=>{{1,3,4},{2,6},{5},{7}}
[3,6,4,2,5,7,1]=>{{1,3,4},{2,6,7},{5}}
[3,6,4,2,7,1,5]=>{{1,3,4},{2,6},{5,7}}
[3,6,4,2,7,5,1]=>{{1,3,4},{2,6},{5,7}}
[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}
[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}
[3,6,4,5,2,1,7]=>{{1,3,4,5},{2,6},{7}}
[3,6,4,5,2,7,1]=>{{1,3,4,5},{2,6,7}}
[3,6,4,5,7,1,2]=>{{1,3,4,5,7},{2,6}}
[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}
[3,6,4,7,1,2,5]=>{{1,3,4,7},{2,6},{5}}
[3,6,4,7,1,5,2]=>{{1,3,4,7},{2,6},{5}}
[3,6,4,7,2,1,5]=>{{1,3,4,7},{2,6},{5}}
[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,6},{5}}
[3,6,4,7,5,1,2]=>{{1,3,4,7},{2,6},{5}}
[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}
[3,6,5,1,2,4,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,1,2,7,4]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,1,4,2,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,1,4,7,2]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,1,7,2,4]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,1,7,4,2]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,2,1,4,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,2,1,7,4]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,2,4,1,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,2,4,7,1]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,2,7,1,4]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,4,2,1,7]=>{{1,3,5},{2,6},{4},{7}}
[3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}
[3,6,5,4,7,1,2]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}
[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}
[3,6,5,7,1,4,2]=>{{1,3,5},{2,6},{4,7}}
[3,6,5,7,2,1,4]=>{{1,3,5},{2,6},{4,7}}
[3,6,5,7,2,4,1]=>{{1,3,5},{2,6},{4,7}}
[3,6,5,7,4,1,2]=>{{1,3,5},{2,6},{4,7}}
[3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}
[3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,1,2,5,4]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,1,4,2,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,1,4,5,2]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,1,5,2,4]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,1,5,4,2]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,1,4,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,1,5,4]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,4,1,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,4,5,1]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,5,1,4]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,2,5,4,1]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,1,2,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,1,5,2]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,2,1,5]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,2,5,1]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,5,1,2]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}
[3,6,7,5,1,2,4]=>{{1,3,7},{2,6},{4,5}}
[3,6,7,5,1,4,2]=>{{1,3,7},{2,6},{4,5}}
[3,6,7,5,2,1,4]=>{{1,3,7},{2,6},{4,5}}
[3,6,7,5,2,4,1]=>{{1,3,7},{2,6},{4,5}}
[3,6,7,5,4,1,2]=>{{1,3,7},{2,6},{4,5}}
[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}
[3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,2,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,2,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,2,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,2,6,4,5]=>{{1,3},{2,7},{4},{5,6}}
[3,7,1,2,6,5,4]=>{{1,3},{2,7},{4},{5,6}}
[3,7,1,4,2,5,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,4,2,6,5]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,4,5,2,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,1,4,6,2,5]=>{{1,3},{2,7},{4},{5,6}}
[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}
[3,7,1,5,2,4,6]=>{{1,3},{2,7},{4,5},{6}}
[3,7,1,5,2,6,4]=>{{1,3},{2,7},{4,5},{6}}
[3,7,1,5,4,2,6]=>{{1,3},{2,7},{4,5},{6}}
[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}
[3,7,1,5,6,2,4]=>{{1,3},{2,7},{4,5,6}}
[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}
[3,7,1,6,2,4,5]=>{{1,3},{2,7},{4,6},{5}}
[3,7,1,6,2,5,4]=>{{1,3},{2,7},{4,6},{5}}
[3,7,1,6,4,2,5]=>{{1,3},{2,7},{4,6},{5}}
[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,6},{5}}
[3,7,1,6,5,2,4]=>{{1,3},{2,7},{4,6},{5}}
[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,1,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,1,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,1,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,1,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,1,6,4,5]=>{{1,3},{2,7},{4},{5,6}}
[3,7,2,1,6,5,4]=>{{1,3},{2,7},{4},{5,6}}
[3,7,2,4,1,5,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,4,1,6,5]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,4,5,1,6]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,4,5,6,1]=>{{1,3},{2,7},{4},{5},{6}}
[3,7,2,4,6,1,5]=>{{1,3},{2,7},{4},{5,6}}
[3,7,2,4,6,5,1]=>{{1,3},{2,7},{4},{5,6}}
[3,7,2,5,1,4,6]=>{{1,3},{2,7},{4,5},{6}}
[3,7,2,5,1,6,4]=>{{1,3},{2,7},{4,5},{6}}
[3,7,2,5,4,1,6]=>{{1,3},{2,7},{4,5},{6}}
[3,7,2,5,4,6,1]=>{{1,3},{2,7},{4,5},{6}}
[3,7,2,5,6,1,4]=>{{1,3},{2,7},{4,5,6}}
[3,7,2,5,6,4,1]=>{{1,3},{2,7},{4,5,6}}
[3,7,2,6,1,4,5]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,6,1,5,4]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,6,4,1,5]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,6,4,5,1]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,6,5,1,4]=>{{1,3},{2,7},{4,6},{5}}
[3,7,2,6,5,4,1]=>{{1,3},{2,7},{4,6},{5}}
[3,7,4,1,2,5,6]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,1,2,6,5]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,1,5,2,6]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,1,6,2,5]=>{{1,3,4},{2,7},{5,6}}
[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}
[3,7,4,2,1,5,6]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,2,1,6,5]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,2,5,1,6]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,2,5,6,1]=>{{1,3,4},{2,7},{5},{6}}
[3,7,4,2,6,1,5]=>{{1,3,4},{2,7},{5,6}}
[3,7,4,2,6,5,1]=>{{1,3,4},{2,7},{5,6}}
[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,7},{6}}
[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}
[3,7,4,5,2,1,6]=>{{1,3,4,5},{2,7},{6}}
[3,7,4,5,2,6,1]=>{{1,3,4,5},{2,7},{6}}
[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}
[3,7,4,5,6,2,1]=>{{1,3,4,5,6},{2,7}}
[3,7,4,6,1,2,5]=>{{1,3,4,6},{2,7},{5}}
[3,7,4,6,1,5,2]=>{{1,3,4,6},{2,7},{5}}
[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,7},{5}}
[3,7,4,6,2,5,1]=>{{1,3,4,6},{2,7},{5}}
[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}
[3,7,4,6,5,2,1]=>{{1,3,4,6},{2,7},{5}}
[3,7,5,1,2,4,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,1,2,6,4]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,1,4,2,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,1,4,6,2]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,1,6,2,4]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,1,6,4,2]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,2,1,4,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,2,1,6,4]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,2,4,1,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,2,4,6,1]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,2,6,4,1]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,4,1,2,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,4,2,1,6]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,4,2,6,1]=>{{1,3,5},{2,7},{4},{6}}
[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,4,6,2,1]=>{{1,3,5,6},{2,7},{4}}
[3,7,5,6,1,2,4]=>{{1,3,5},{2,7},{4,6}}
[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}
[3,7,5,6,2,1,4]=>{{1,3,5},{2,7},{4,6}}
[3,7,5,6,2,4,1]=>{{1,3,5},{2,7},{4,6}}
[3,7,5,6,4,1,2]=>{{1,3,5},{2,7},{4,6}}
[3,7,5,6,4,2,1]=>{{1,3,5},{2,7},{4,6}}
[3,7,6,1,2,4,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,1,2,5,4]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,1,4,2,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,1,4,5,2]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,1,5,2,4]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,1,5,4,2]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,1,4,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,1,5,4]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,4,1,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,4,5,1]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,5,1,4]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,2,5,4,1]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,1,2,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,1,5,2]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,2,1,5]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,2,5,1]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,4,5,2,1]=>{{1,3,6},{2,7},{4},{5}}
[3,7,6,5,1,2,4]=>{{1,3,6},{2,7},{4,5}}
[3,7,6,5,1,4,2]=>{{1,3,6},{2,7},{4,5}}
[3,7,6,5,2,1,4]=>{{1,3,6},{2,7},{4,5}}
[3,7,6,5,2,4,1]=>{{1,3,6},{2,7},{4,5}}
[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}
[3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}
[4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}
[4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}
[4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}
[4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}
[4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}
[4,1,2,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}
[4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}
[4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}
[4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}
[4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}
[4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}
[4,1,2,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}
[4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}
[4,1,2,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,1,2,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}
[4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}
[4,1,2,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}
[4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,2,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,2,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,2,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,2,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}
[4,1,2,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}
[4,1,3,2,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}
[4,1,3,2,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}
[4,1,3,2,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}
[4,1,3,2,6,7,5]=>{{1,4},{2},{3},{5,6,7}}
[4,1,3,2,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}
[4,1,3,2,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}
[4,1,3,5,2,6,7]=>{{1,4,5},{2},{3},{6},{7}}
[4,1,3,5,2,7,6]=>{{1,4,5},{2},{3},{6,7}}
[4,1,3,5,6,2,7]=>{{1,4,5,6},{2},{3},{7}}
[4,1,3,5,6,7,2]=>{{1,4,5,6,7},{2},{3}}
[4,1,3,5,7,2,6]=>{{1,4,5,7},{2},{3},{6}}
[4,1,3,5,7,6,2]=>{{1,4,5,7},{2},{3},{6}}
[4,1,3,6,2,5,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,1,3,6,2,7,5]=>{{1,4,6,7},{2},{3},{5}}
[4,1,3,6,5,2,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,1,3,6,5,7,2]=>{{1,4,6,7},{2},{3},{5}}
[4,1,3,6,7,2,5]=>{{1,4,6},{2},{3},{5,7}}
[4,1,3,6,7,5,2]=>{{1,4,6},{2},{3},{5,7}}
[4,1,3,7,2,5,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,3,7,2,6,5]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,3,7,5,2,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,3,7,5,6,2]=>{{1,4,7},{2},{3},{5},{6}}
[4,1,3,7,6,2,5]=>{{1,4,7},{2},{3},{5,6}}
[4,1,3,7,6,5,2]=>{{1,4,7},{2},{3},{5,6}}
[4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}
[4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}
[4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}
[4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}
[4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}
[4,1,5,2,7,6,3]=>{{1,4},{2},{3,5,7},{6}}
[4,1,5,3,2,6,7]=>{{1,4},{2},{3,5},{6},{7}}
[4,1,5,3,2,7,6]=>{{1,4},{2},{3,5},{6,7}}
[4,1,5,3,6,2,7]=>{{1,4},{2},{3,5,6},{7}}
[4,1,5,3,6,7,2]=>{{1,4},{2},{3,5,6,7}}
[4,1,5,3,7,2,6]=>{{1,4},{2},{3,5,7},{6}}
[4,1,5,3,7,6,2]=>{{1,4},{2},{3,5,7},{6}}
[4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}
[4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}
[4,1,5,6,3,2,7]=>{{1,4,6},{2},{3,5},{7}}
[4,1,5,6,3,7,2]=>{{1,4,6,7},{2},{3,5}}
[4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}
[4,1,5,6,7,3,2]=>{{1,4,6},{2},{3,5,7}}
[4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}
[4,1,5,7,2,6,3]=>{{1,4,7},{2},{3,5},{6}}
[4,1,5,7,3,2,6]=>{{1,4,7},{2},{3,5},{6}}
[4,1,5,7,3,6,2]=>{{1,4,7},{2},{3,5},{6}}
[4,1,5,7,6,2,3]=>{{1,4,7},{2},{3,5,6}}
[4,1,5,7,6,3,2]=>{{1,4,7},{2},{3,5,6}}
[4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}
[4,1,6,2,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,1,6,2,5,7,3]=>{{1,4},{2},{3,6,7},{5}}
[4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}
[4,1,6,2,7,5,3]=>{{1,4},{2},{3,6},{5,7}}
[4,1,6,3,2,5,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,1,6,3,2,7,5]=>{{1,4},{2},{3,6,7},{5}}
[4,1,6,3,5,2,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,1,6,3,5,7,2]=>{{1,4},{2},{3,6,7},{5}}
[4,1,6,3,7,2,5]=>{{1,4},{2},{3,6},{5,7}}
[4,1,6,3,7,5,2]=>{{1,4},{2},{3,6},{5,7}}
[4,1,6,5,2,3,7]=>{{1,4,5},{2},{3,6},{7}}
[4,1,6,5,2,7,3]=>{{1,4,5},{2},{3,6,7}}
[4,1,6,5,3,2,7]=>{{1,4,5},{2},{3,6},{7}}
[4,1,6,5,3,7,2]=>{{1,4,5},{2},{3,6,7}}
[4,1,6,5,7,2,3]=>{{1,4,5,7},{2},{3,6}}
[4,1,6,5,7,3,2]=>{{1,4,5,7},{2},{3,6}}
[4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}
[4,1,6,7,2,5,3]=>{{1,4,7},{2},{3,6},{5}}
[4,1,6,7,3,2,5]=>{{1,4,7},{2},{3,6},{5}}
[4,1,6,7,3,5,2]=>{{1,4,7},{2},{3,6},{5}}
[4,1,6,7,5,2,3]=>{{1,4,7},{2},{3,6},{5}}
[4,1,6,7,5,3,2]=>{{1,4,7},{2},{3,6},{5}}
[4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,2,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,2,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,2,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,2,6,3,5]=>{{1,4},{2},{3,7},{5,6}}
[4,1,7,2,6,5,3]=>{{1,4},{2},{3,7},{5,6}}
[4,1,7,3,2,5,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,3,2,6,5]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,3,5,2,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,3,5,6,2]=>{{1,4},{2},{3,7},{5},{6}}
[4,1,7,3,6,2,5]=>{{1,4},{2},{3,7},{5,6}}
[4,1,7,3,6,5,2]=>{{1,4},{2},{3,7},{5,6}}
[4,1,7,5,2,3,6]=>{{1,4,5},{2},{3,7},{6}}
[4,1,7,5,2,6,3]=>{{1,4,5},{2},{3,7},{6}}
[4,1,7,5,3,2,6]=>{{1,4,5},{2},{3,7},{6}}
[4,1,7,5,3,6,2]=>{{1,4,5},{2},{3,7},{6}}
[4,1,7,5,6,2,3]=>{{1,4,5,6},{2},{3,7}}
[4,1,7,5,6,3,2]=>{{1,4,5,6},{2},{3,7}}
[4,1,7,6,2,3,5]=>{{1,4,6},{2},{3,7},{5}}
[4,1,7,6,2,5,3]=>{{1,4,6},{2},{3,7},{5}}
[4,1,7,6,3,2,5]=>{{1,4,6},{2},{3,7},{5}}
[4,1,7,6,3,5,2]=>{{1,4,6},{2},{3,7},{5}}
[4,1,7,6,5,2,3]=>{{1,4,6},{2},{3,7},{5}}
[4,1,7,6,5,3,2]=>{{1,4,6},{2},{3,7},{5}}
[4,2,1,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}
[4,2,1,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}
[4,2,1,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}
[4,2,1,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}
[4,2,1,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}
[4,2,1,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}
[4,2,1,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}
[4,2,1,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}
[4,2,1,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}
[4,2,1,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}
[4,2,1,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}
[4,2,1,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}
[4,2,1,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,2,1,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}
[4,2,1,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,2,1,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}
[4,2,1,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}
[4,2,1,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}
[4,2,1,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,1,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,1,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,1,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,1,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}
[4,2,1,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}
[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}
[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}
[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}
[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}
[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}
[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}
[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}
[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}
[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}
[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}
[4,2,3,5,7,1,6]=>{{1,4,5,7},{2},{3},{6}}
[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}
[4,2,3,6,1,5,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,2,3,6,1,7,5]=>{{1,4,6,7},{2},{3},{5}}
[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}
[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}
[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}
[4,2,3,6,7,5,1]=>{{1,4,6},{2},{3},{5,7}}
[4,2,3,7,1,5,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,7,1,6,5]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,7,5,1,6]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,7,6,1,5]=>{{1,4,7},{2},{3},{5,6}}
[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}
[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}
[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}
[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}
[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}
[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,7},{6}}
[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}
[4,2,5,3,1,6,7]=>{{1,4},{2},{3,5},{6},{7}}
[4,2,5,3,1,7,6]=>{{1,4},{2},{3,5},{6,7}}
[4,2,5,3,6,1,7]=>{{1,4},{2},{3,5,6},{7}}
[4,2,5,3,6,7,1]=>{{1,4},{2},{3,5,6,7}}
[4,2,5,3,7,1,6]=>{{1,4},{2},{3,5,7},{6}}
[4,2,5,3,7,6,1]=>{{1,4},{2},{3,5,7},{6}}
[4,2,5,6,1,3,7]=>{{1,4,6},{2},{3,5},{7}}
[4,2,5,6,1,7,3]=>{{1,4,6,7},{2},{3,5}}
[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}
[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}
[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}
[4,2,5,6,7,3,1]=>{{1,4,6},{2},{3,5,7}}
[4,2,5,7,1,3,6]=>{{1,4,7},{2},{3,5},{6}}
[4,2,5,7,1,6,3]=>{{1,4,7},{2},{3,5},{6}}
[4,2,5,7,3,1,6]=>{{1,4,7},{2},{3,5},{6}}
[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}
[4,2,5,7,6,1,3]=>{{1,4,7},{2},{3,5,6}}
[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}
[4,2,6,1,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,2,6,1,3,7,5]=>{{1,4},{2},{3,6,7},{5}}
[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}
[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}
[4,2,6,1,7,5,3]=>{{1,4},{2},{3,6},{5,7}}
[4,2,6,3,1,5,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,2,6,3,1,7,5]=>{{1,4},{2},{3,6,7},{5}}
[4,2,6,3,5,1,7]=>{{1,4},{2},{3,6},{5},{7}}
[4,2,6,3,5,7,1]=>{{1,4},{2},{3,6,7},{5}}
[4,2,6,3,7,1,5]=>{{1,4},{2},{3,6},{5,7}}
[4,2,6,3,7,5,1]=>{{1,4},{2},{3,6},{5,7}}
[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}
[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}
[4,2,6,5,3,1,7]=>{{1,4,5},{2},{3,6},{7}}
[4,2,6,5,3,7,1]=>{{1,4,5},{2},{3,6,7}}
[4,2,6,5,7,1,3]=>{{1,4,5,7},{2},{3,6}}
[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}
[4,2,6,7,1,3,5]=>{{1,4,7},{2},{3,6},{5}}
[4,2,6,7,1,5,3]=>{{1,4,7},{2},{3,6},{5}}
[4,2,6,7,3,1,5]=>{{1,4,7},{2},{3,6},{5}}
[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,6},{5}}
[4,2,6,7,5,1,3]=>{{1,4,7},{2},{3,6},{5}}
[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}
[4,2,7,1,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,1,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,1,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,1,6,3,5]=>{{1,4},{2},{3,7},{5,6}}
[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}
[4,2,7,3,1,5,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,3,1,6,5]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,3,5,1,6]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,3,5,6,1]=>{{1,4},{2},{3,7},{5},{6}}
[4,2,7,3,6,1,5]=>{{1,4},{2},{3,7},{5,6}}
[4,2,7,3,6,5,1]=>{{1,4},{2},{3,7},{5,6}}
[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,7},{6}}
[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}
[4,2,7,5,3,1,6]=>{{1,4,5},{2},{3,7},{6}}
[4,2,7,5,3,6,1]=>{{1,4,5},{2},{3,7},{6}}
[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}
[4,2,7,5,6,3,1]=>{{1,4,5,6},{2},{3,7}}
[4,2,7,6,1,3,5]=>{{1,4,6},{2},{3,7},{5}}
[4,2,7,6,1,5,3]=>{{1,4,6},{2},{3,7},{5}}
[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,7},{5}}
[4,2,7,6,3,5,1]=>{{1,4,6},{2},{3,7},{5}}
[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}
[4,2,7,6,5,3,1]=>{{1,4,6},{2},{3,7},{5}}
[4,3,1,2,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}
[4,3,1,2,5,7,6]=>{{1,4},{2,3},{5},{6,7}}
[4,3,1,2,6,5,7]=>{{1,4},{2,3},{5,6},{7}}
[4,3,1,2,6,7,5]=>{{1,4},{2,3},{5,6,7}}
[4,3,1,2,7,5,6]=>{{1,4},{2,3},{5,7},{6}}
[4,3,1,2,7,6,5]=>{{1,4},{2,3},{5,7},{6}}
[4,3,1,5,2,6,7]=>{{1,4,5},{2,3},{6},{7}}
[4,3,1,5,2,7,6]=>{{1,4,5},{2,3},{6,7}}
[4,3,1,5,6,2,7]=>{{1,4,5,6},{2,3},{7}}
[4,3,1,5,6,7,2]=>{{1,4,5,6,7},{2,3}}
[4,3,1,5,7,2,6]=>{{1,4,5,7},{2,3},{6}}
[4,3,1,5,7,6,2]=>{{1,4,5,7},{2,3},{6}}
[4,3,1,6,2,5,7]=>{{1,4,6},{2,3},{5},{7}}
[4,3,1,6,2,7,5]=>{{1,4,6,7},{2,3},{5}}
[4,3,1,6,5,2,7]=>{{1,4,6},{2,3},{5},{7}}
[4,3,1,6,5,7,2]=>{{1,4,6,7},{2,3},{5}}
[4,3,1,6,7,2,5]=>{{1,4,6},{2,3},{5,7}}
[4,3,1,6,7,5,2]=>{{1,4,6},{2,3},{5,7}}
[4,3,1,7,2,5,6]=>{{1,4,7},{2,3},{5},{6}}
[4,3,1,7,2,6,5]=>{{1,4,7},{2,3},{5},{6}}
[4,3,1,7,5,2,6]=>{{1,4,7},{2,3},{5},{6}}
[4,3,1,7,5,6,2]=>{{1,4,7},{2,3},{5},{6}}
[4,3,1,7,6,2,5]=>{{1,4,7},{2,3},{5,6}}
[4,3,1,7,6,5,2]=>{{1,4,7},{2,3},{5,6}}
[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}
[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}
[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}
[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}
[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,7},{6}}
[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}
[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}
[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}
[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}
[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}
[4,3,2,5,7,1,6]=>{{1,4,5,7},{2,3},{6}}
[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}
[4,3,2,6,1,5,7]=>{{1,4,6},{2,3},{5},{7}}
[4,3,2,6,1,7,5]=>{{1,4,6,7},{2,3},{5}}
[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}
[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}
[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}
[4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}
[4,3,2,7,1,5,6]=>{{1,4,7},{2,3},{5},{6}}
[4,3,2,7,1,6,5]=>{{1,4,7},{2,3},{5},{6}}
[4,3,2,7,5,1,6]=>{{1,4,7},{2,3},{5},{6}}
[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}
[4,3,2,7,6,1,5]=>{{1,4,7},{2,3},{5,6}}
[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}
[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}
[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}
[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}
[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}
[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,7},{6}}
[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}
[4,3,5,2,1,6,7]=>{{1,4},{2,3,5},{6},{7}}
[4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}
[4,3,5,2,6,1,7]=>{{1,4},{2,3,5,6},{7}}
[4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}
[4,3,5,2,7,1,6]=>{{1,4},{2,3,5,7},{6}}
[4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}
[4,3,5,6,1,2,7]=>{{1,4,6},{2,3,5},{7}}
[4,3,5,6,1,7,2]=>{{1,4,6,7},{2,3,5}}
[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}
[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}
[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}
[4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}
[4,3,5,7,1,2,6]=>{{1,4,7},{2,3,5},{6}}
[4,3,5,7,1,6,2]=>{{1,4,7},{2,3,5},{6}}
[4,3,5,7,2,1,6]=>{{1,4,7},{2,3,5},{6}}
[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}
[4,3,5,7,6,1,2]=>{{1,4,7},{2,3,5,6}}
[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}
[4,3,6,1,2,5,7]=>{{1,4},{2,3,6},{5},{7}}
[4,3,6,1,2,7,5]=>{{1,4},{2,3,6,7},{5}}
[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}
[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}
[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}
[4,3,6,1,7,5,2]=>{{1,4},{2,3,6},{5,7}}
[4,3,6,2,1,5,7]=>{{1,4},{2,3,6},{5},{7}}
[4,3,6,2,1,7,5]=>{{1,4},{2,3,6,7},{5}}
[4,3,6,2,5,1,7]=>{{1,4},{2,3,6},{5},{7}}
[4,3,6,2,5,7,1]=>{{1,4},{2,3,6,7},{5}}
[4,3,6,2,7,1,5]=>{{1,4},{2,3,6},{5,7}}
[4,3,6,2,7,5,1]=>{{1,4},{2,3,6},{5,7}}
[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}
[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}
[4,3,6,5,2,1,7]=>{{1,4,5},{2,3,6},{7}}
[4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}
[4,3,6,5,7,1,2]=>{{1,4,5,7},{2,3,6}}
[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}
[4,3,6,7,1,2,5]=>{{1,4,7},{2,3,6},{5}}
[4,3,6,7,1,5,2]=>{{1,4,7},{2,3,6},{5}}
[4,3,6,7,2,1,5]=>{{1,4,7},{2,3,6},{5}}
[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,6},{5}}
[4,3,6,7,5,1,2]=>{{1,4,7},{2,3,6},{5}}
[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}
[4,3,7,1,2,5,6]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,1,2,6,5]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,1,5,2,6]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,1,6,2,5]=>{{1,4},{2,3,7},{5,6}}
[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}
[4,3,7,2,1,5,6]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,2,1,6,5]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,2,5,1,6]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,2,5,6,1]=>{{1,4},{2,3,7},{5},{6}}
[4,3,7,2,6,1,5]=>{{1,4},{2,3,7},{5,6}}
[4,3,7,2,6,5,1]=>{{1,4},{2,3,7},{5,6}}
[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,7},{6}}
[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}
[4,3,7,5,2,1,6]=>{{1,4,5},{2,3,7},{6}}
[4,3,7,5,2,6,1]=>{{1,4,5},{2,3,7},{6}}
[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}
[4,3,7,5,6,2,1]=>{{1,4,5,6},{2,3,7}}
[4,3,7,6,1,2,5]=>{{1,4,6},{2,3,7},{5}}
[4,3,7,6,1,5,2]=>{{1,4,6},{2,3,7},{5}}
[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,7},{5}}
[4,3,7,6,2,5,1]=>{{1,4,6},{2,3,7},{5}}
[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}
[4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}
[4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}
[4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,1,2,7,6,3]=>{{1,4},{2,5,7},{3},{6}}
[4,5,1,3,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,1,3,2,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,1,3,6,2,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,1,3,6,7,2]=>{{1,4},{2,5,6,7},{3}}
[4,5,1,3,7,2,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,1,3,7,6,2]=>{{1,4},{2,5,7},{3},{6}}
[4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}
[4,5,1,6,3,2,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,1,6,3,7,2]=>{{1,4,6,7},{2,5},{3}}
[4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}
[4,5,1,6,7,3,2]=>{{1,4,6},{2,5,7},{3}}
[4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,1,7,2,6,3]=>{{1,4,7},{2,5},{3},{6}}
[4,5,1,7,3,2,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,1,7,3,6,2]=>{{1,4,7},{2,5},{3},{6}}
[4,5,1,7,6,2,3]=>{{1,4,7},{2,5,6},{3}}
[4,5,1,7,6,3,2]=>{{1,4,7},{2,5,6},{3}}
[4,5,2,1,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,2,1,3,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,2,1,6,3,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,2,1,6,7,3]=>{{1,4},{2,5,6,7},{3}}
[4,5,2,1,7,3,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,2,1,7,6,3]=>{{1,4},{2,5,7},{3},{6}}
[4,5,2,3,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,2,3,1,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,2,3,6,1,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,2,3,6,7,1]=>{{1,4},{2,5,6,7},{3}}
[4,5,2,3,7,1,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,2,3,7,6,1]=>{{1,4},{2,5,7},{3},{6}}
[4,5,2,6,1,3,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,2,6,1,7,3]=>{{1,4,6,7},{2,5},{3}}
[4,5,2,6,3,1,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,5},{3}}
[4,5,2,6,7,1,3]=>{{1,4,6},{2,5,7},{3}}
[4,5,2,6,7,3,1]=>{{1,4,6},{2,5,7},{3}}
[4,5,2,7,1,3,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,2,7,1,6,3]=>{{1,4,7},{2,5},{3},{6}}
[4,5,2,7,3,1,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,2,7,3,6,1]=>{{1,4,7},{2,5},{3},{6}}
[4,5,2,7,6,1,3]=>{{1,4,7},{2,5,6},{3}}
[4,5,2,7,6,3,1]=>{{1,4,7},{2,5,6},{3}}
[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}
[4,5,3,1,7,2,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}
[4,5,3,2,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}
[4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}
[4,5,3,2,6,1,7]=>{{1,4},{2,5,6},{3},{7}}
[4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}
[4,5,3,2,7,1,6]=>{{1,4},{2,5,7},{3},{6}}
[4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}
[4,5,3,6,1,2,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,3,6,1,7,2]=>{{1,4,6,7},{2,5},{3}}
[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}
[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}
[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}
[4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}
[4,5,3,7,1,2,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,3,7,1,6,2]=>{{1,4,7},{2,5},{3},{6}}
[4,5,3,7,2,1,6]=>{{1,4,7},{2,5},{3},{6}}
[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}
[4,5,3,7,6,1,2]=>{{1,4,7},{2,5,6},{3}}
[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}
[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,1,3,2,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,1,3,7,2]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,2,1,3,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,2,1,7,3]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,2,3,1,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,2,3,7,1]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,2,7,1,3]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,2,7,3,1]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,3,1,2,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,3,1,7,2]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,3,2,1,7]=>{{1,4},{2,5},{3,6},{7}}
[4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}
[4,5,6,3,7,1,2]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}
[4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}
[4,5,6,7,1,3,2]=>{{1,4,7},{2,5},{3,6}}
[4,5,6,7,2,1,3]=>{{1,4,7},{2,5},{3,6}}
[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}
[4,5,6,7,3,1,2]=>{{1,4,7},{2,5},{3,6}}
[4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}
[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,1,3,2,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,1,3,6,2]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,1,6,3,2]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,2,1,3,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,2,1,6,3]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,2,3,1,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,2,3,6,1]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,2,6,1,3]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,2,6,3,1]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,3,1,2,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,3,1,6,2]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,3,2,1,6]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,3,2,6,1]=>{{1,4},{2,5},{3,7},{6}}
[4,5,7,3,6,1,2]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,3,6,2,1]=>{{1,4},{2,5,6},{3,7}}
[4,5,7,6,1,2,3]=>{{1,4,6},{2,5},{3,7}}
[4,5,7,6,1,3,2]=>{{1,4,6},{2,5},{3,7}}
[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}
[4,5,7,6,2,3,1]=>{{1,4,6},{2,5},{3,7}}
[4,5,7,6,3,1,2]=>{{1,4,6},{2,5},{3,7}}
[4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}
[4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,1,2,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,1,2,5,7,3]=>{{1,4},{2,6,7},{3},{5}}
[4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,1,2,7,5,3]=>{{1,4},{2,6},{3},{5,7}}
[4,6,1,3,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,1,3,2,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,1,3,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,1,3,5,7,2]=>{{1,4},{2,6,7},{3},{5}}
[4,6,1,3,7,2,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,1,3,7,5,2]=>{{1,4},{2,6},{3},{5,7}}
[4,6,1,5,2,3,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,1,5,2,7,3]=>{{1,4,5},{2,6,7},{3}}
[4,6,1,5,3,2,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,1,5,3,7,2]=>{{1,4,5},{2,6,7},{3}}
[4,6,1,5,7,2,3]=>{{1,4,5,7},{2,6},{3}}
[4,6,1,5,7,3,2]=>{{1,4,5,7},{2,6},{3}}
[4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,1,7,2,5,3]=>{{1,4,7},{2,6},{3},{5}}
[4,6,1,7,3,2,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,1,7,3,5,2]=>{{1,4,7},{2,6},{3},{5}}
[4,6,1,7,5,2,3]=>{{1,4,7},{2,6},{3},{5}}
[4,6,1,7,5,3,2]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,1,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,2,1,3,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,2,1,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,2,1,5,7,3]=>{{1,4},{2,6,7},{3},{5}}
[4,6,2,1,7,3,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,2,1,7,5,3]=>{{1,4},{2,6},{3},{5,7}}
[4,6,2,3,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,2,3,1,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,2,3,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,2,3,5,7,1]=>{{1,4},{2,6,7},{3},{5}}
[4,6,2,3,7,1,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,2,3,7,5,1]=>{{1,4},{2,6},{3},{5,7}}
[4,6,2,5,1,3,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,2,5,1,7,3]=>{{1,4,5},{2,6,7},{3}}
[4,6,2,5,3,1,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,2,5,3,7,1]=>{{1,4,5},{2,6,7},{3}}
[4,6,2,5,7,1,3]=>{{1,4,5,7},{2,6},{3}}
[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,6},{3}}
[4,6,2,7,1,3,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,7,1,5,3]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,7,3,1,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,7,3,5,1]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,7,5,1,3]=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,7,5,3,1]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,1,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,3,1,2,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}
[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,3,1,7,5,2]=>{{1,4},{2,6},{3},{5,7}}
[4,6,3,2,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,3,2,1,7,5]=>{{1,4},{2,6,7},{3},{5}}
[4,6,3,2,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}
[4,6,3,2,5,7,1]=>{{1,4},{2,6,7},{3},{5}}
[4,6,3,2,7,1,5]=>{{1,4},{2,6},{3},{5,7}}
[4,6,3,2,7,5,1]=>{{1,4},{2,6},{3},{5,7}}
[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}
[4,6,3,5,2,1,7]=>{{1,4,5},{2,6},{3},{7}}
[4,6,3,5,2,7,1]=>{{1,4,5},{2,6,7},{3}}
[4,6,3,5,7,1,2]=>{{1,4,5,7},{2,6},{3}}
[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}
[4,6,3,7,1,2,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,7,1,5,2]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,7,2,1,5]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,7,2,5,1]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,7,5,1,2]=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}
[4,6,5,1,2,3,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,1,2,7,3]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,1,7,3,2]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,2,1,3,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,2,1,7,3]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,2,3,1,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,2,3,7,1]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,2,7,1,3]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,2,7,3,1]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,3,1,2,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,3,1,7,2]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,3,2,1,7]=>{{1,4},{2,6},{3,5},{7}}
[4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}
[4,6,5,3,7,1,2]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}
[4,6,5,7,1,2,3]=>{{1,4,7},{2,6},{3,5}}
[4,6,5,7,1,3,2]=>{{1,4,7},{2,6},{3,5}}
[4,6,5,7,2,1,3]=>{{1,4,7},{2,6},{3,5}}
[4,6,5,7,2,3,1]=>{{1,4,7},{2,6},{3,5}}
[4,6,5,7,3,1,2]=>{{1,4,7},{2,6},{3,5}}
[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}
[4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,1,2,5,3]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,1,3,5,2]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,1,5,3,2]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,1,3,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,1,5,3]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,3,1,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,3,5,1]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,5,1,3]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,2,5,3,1]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,1,2,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,1,5,2]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,2,1,5]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,2,5,1]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,5,1,2]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,3,5,2,1]=>{{1,4},{2,6},{3,7},{5}}
[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}
[4,6,7,5,1,3,2]=>{{1,4,5},{2,6},{3,7}}
[4,6,7,5,2,1,3]=>{{1,4,5},{2,6},{3,7}}
[4,6,7,5,2,3,1]=>{{1,4,5},{2,6},{3,7}}
[4,6,7,5,3,1,2]=>{{1,4,5},{2,6},{3,7}}
[4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}
[4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,2,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,2,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,2,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,2,6,3,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,1,2,6,5,3]=>{{1,4},{2,7},{3},{5,6}}
[4,7,1,3,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,3,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,3,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,3,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,1,3,6,2,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,1,3,6,5,2]=>{{1,4},{2,7},{3},{5,6}}
[4,7,1,5,2,3,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,1,5,2,6,3]=>{{1,4,5},{2,7},{3},{6}}
[4,7,1,5,3,2,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,1,5,3,6,2]=>{{1,4,5},{2,7},{3},{6}}
[4,7,1,5,6,2,3]=>{{1,4,5,6},{2,7},{3}}
[4,7,1,5,6,3,2]=>{{1,4,5,6},{2,7},{3}}
[4,7,1,6,2,3,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,1,6,2,5,3]=>{{1,4,6},{2,7},{3},{5}}
[4,7,1,6,3,2,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,1,6,3,5,2]=>{{1,4,6},{2,7},{3},{5}}
[4,7,1,6,5,2,3]=>{{1,4,6},{2,7},{3},{5}}
[4,7,1,6,5,3,2]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,1,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,1,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,1,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,1,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,1,6,3,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,2,1,6,5,3]=>{{1,4},{2,7},{3},{5,6}}
[4,7,2,3,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,3,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,3,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,3,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,2,3,6,1,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,2,3,6,5,1]=>{{1,4},{2,7},{3},{5,6}}
[4,7,2,5,1,3,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,2,5,1,6,3]=>{{1,4,5},{2,7},{3},{6}}
[4,7,2,5,3,1,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,2,5,3,6,1]=>{{1,4,5},{2,7},{3},{6}}
[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,7},{3}}
[4,7,2,5,6,3,1]=>{{1,4,5,6},{2,7},{3}}
[4,7,2,6,1,3,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,6,1,5,3]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,6,3,1,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,6,3,5,1]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,6,5,1,3]=>{{1,4,6},{2,7},{3},{5}}
[4,7,2,6,5,3,1]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,1,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,1,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,1,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,1,6,2,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}
[4,7,3,2,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,2,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,2,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,2,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}
[4,7,3,2,6,1,5]=>{{1,4},{2,7},{3},{5,6}}
[4,7,3,2,6,5,1]=>{{1,4},{2,7},{3},{5,6}}
[4,7,3,5,1,2,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}
[4,7,3,5,2,1,6]=>{{1,4,5},{2,7},{3},{6}}
[4,7,3,5,2,6,1]=>{{1,4,5},{2,7},{3},{6}}
[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}
[4,7,3,5,6,2,1]=>{{1,4,5,6},{2,7},{3}}
[4,7,3,6,1,2,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,6,1,5,2]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,6,2,1,5]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,6,2,5,1]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}
[4,7,3,6,5,2,1]=>{{1,4,6},{2,7},{3},{5}}
[4,7,5,1,2,3,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,1,2,6,3]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,1,3,2,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,1,6,2,3]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,2,1,3,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,2,1,6,3]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,2,3,1,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,2,3,6,1]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,2,6,1,3]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,2,6,3,1]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,3,1,2,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,3,1,6,2]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,3,2,1,6]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,3,2,6,1]=>{{1,4},{2,7},{3,5},{6}}
[4,7,5,3,6,1,2]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,3,6,2,1]=>{{1,4},{2,7},{3,5,6}}
[4,7,5,6,1,2,3]=>{{1,4,6},{2,7},{3,5}}
[4,7,5,6,1,3,2]=>{{1,4,6},{2,7},{3,5}}
[4,7,5,6,2,1,3]=>{{1,4,6},{2,7},{3,5}}
[4,7,5,6,2,3,1]=>{{1,4,6},{2,7},{3,5}}
[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}
[4,7,5,6,3,2,1]=>{{1,4,6},{2,7},{3,5}}
[4,7,6,1,2,3,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,1,2,5,3]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,1,3,2,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,1,5,2,3]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,1,3,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,1,5,3]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,3,1,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,3,5,1]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,5,1,3]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,2,5,3,1]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,1,2,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,1,5,2]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,2,1,5]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,2,5,1]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,5,1,2]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,3,5,2,1]=>{{1,4},{2,7},{3,6},{5}}
[4,7,6,5,1,2,3]=>{{1,4,5},{2,7},{3,6}}
[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}
[4,7,6,5,2,1,3]=>{{1,4,5},{2,7},{3,6}}
[4,7,6,5,2,3,1]=>{{1,4,5},{2,7},{3,6}}
[4,7,6,5,3,1,2]=>{{1,4,5},{2,7},{3,6}}
[4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}
[5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}
[5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,2,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,2,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,2,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,1,2,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,1,2,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}
[5,1,2,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,2,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}
[5,1,2,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,1,2,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}
[5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}
[5,1,2,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}
[5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,2,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,2,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,2,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,2,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}
[5,1,2,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}
[5,1,3,2,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,3,2,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,1,3,2,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,1,3,2,6,7,4]=>{{1,5,6,7},{2},{3},{4}}
[5,1,3,2,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,3,2,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,3,4,2,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,3,4,2,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,1,3,4,6,2,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,1,3,4,6,7,2]=>{{1,5,6,7},{2},{3},{4}}
[5,1,3,4,7,2,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,3,4,7,6,2]=>{{1,5,7},{2},{3},{4},{6}}
[5,1,3,6,2,4,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,1,3,6,2,7,4]=>{{1,5},{2},{3},{4,6,7}}
[5,1,3,6,4,2,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,1,3,6,4,7,2]=>{{1,5},{2},{3},{4,6,7}}
[5,1,3,6,7,2,4]=>{{1,5,7},{2},{3},{4,6}}
[5,1,3,6,7,4,2]=>{{1,5,7},{2},{3},{4,6}}
[5,1,3,7,2,4,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,3,7,2,6,4]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,3,7,4,2,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,3,7,4,6,2]=>{{1,5},{2},{3},{4,7},{6}}
[5,1,3,7,6,2,4]=>{{1,5,6},{2},{3},{4,7}}
[5,1,3,7,6,4,2]=>{{1,5,6},{2},{3},{4,7}}
[5,1,4,2,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}
[5,1,4,2,3,7,6]=>{{1,5},{2},{3,4},{6,7}}
[5,1,4,2,6,3,7]=>{{1,5,6},{2},{3,4},{7}}
[5,1,4,2,6,7,3]=>{{1,5,6,7},{2},{3,4}}
[5,1,4,2,7,3,6]=>{{1,5,7},{2},{3,4},{6}}
[5,1,4,2,7,6,3]=>{{1,5,7},{2},{3,4},{6}}
[5,1,4,3,2,6,7]=>{{1,5},{2},{3,4},{6},{7}}
[5,1,4,3,2,7,6]=>{{1,5},{2},{3,4},{6,7}}
[5,1,4,3,6,2,7]=>{{1,5,6},{2},{3,4},{7}}
[5,1,4,3,6,7,2]=>{{1,5,6,7},{2},{3,4}}
[5,1,4,3,7,2,6]=>{{1,5,7},{2},{3,4},{6}}
[5,1,4,3,7,6,2]=>{{1,5,7},{2},{3,4},{6}}
[5,1,4,6,2,3,7]=>{{1,5},{2},{3,4,6},{7}}
[5,1,4,6,2,7,3]=>{{1,5},{2},{3,4,6,7}}
[5,1,4,6,3,2,7]=>{{1,5},{2},{3,4,6},{7}}
[5,1,4,6,3,7,2]=>{{1,5},{2},{3,4,6,7}}
[5,1,4,6,7,2,3]=>{{1,5,7},{2},{3,4,6}}
[5,1,4,6,7,3,2]=>{{1,5,7},{2},{3,4,6}}
[5,1,4,7,2,3,6]=>{{1,5},{2},{3,4,7},{6}}
[5,1,4,7,2,6,3]=>{{1,5},{2},{3,4,7},{6}}
[5,1,4,7,3,2,6]=>{{1,5},{2},{3,4,7},{6}}
[5,1,4,7,3,6,2]=>{{1,5},{2},{3,4,7},{6}}
[5,1,4,7,6,2,3]=>{{1,5,6},{2},{3,4,7}}
[5,1,4,7,6,3,2]=>{{1,5,6},{2},{3,4,7}}
[5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,2,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,2,4,7,3]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,2,7,4,3]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,3,2,4,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,3,2,7,4]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,3,4,2,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,3,4,7,2]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,3,7,2,4]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,3,7,4,2]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,4,2,3,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,4,2,7,3]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,4,3,2,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,1,6,4,3,7,2]=>{{1,5},{2},{3,6,7},{4}}
[5,1,6,4,7,2,3]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,4,7,3,2]=>{{1,5,7},{2},{3,6},{4}}
[5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}
[5,1,6,7,2,4,3]=>{{1,5},{2},{3,6},{4,7}}
[5,1,6,7,3,2,4]=>{{1,5},{2},{3,6},{4,7}}
[5,1,6,7,3,4,2]=>{{1,5},{2},{3,6},{4,7}}
[5,1,6,7,4,2,3]=>{{1,5},{2},{3,6},{4,7}}
[5,1,6,7,4,3,2]=>{{1,5},{2},{3,6},{4,7}}
[5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,2,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,2,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,2,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,2,6,3,4]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,2,6,4,3]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,3,2,4,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,3,2,6,4]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,3,4,2,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,3,4,6,2]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,3,6,2,4]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,3,6,4,2]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,4,2,3,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,4,2,6,3]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,4,3,2,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,4,3,6,2]=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,4,6,2,3]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,4,6,3,2]=>{{1,5,6},{2},{3,7},{4}}
[5,1,7,6,2,3,4]=>{{1,5},{2},{3,7},{4,6}}
[5,1,7,6,2,4,3]=>{{1,5},{2},{3,7},{4,6}}
[5,1,7,6,3,2,4]=>{{1,5},{2},{3,7},{4,6}}
[5,1,7,6,3,4,2]=>{{1,5},{2},{3,7},{4,6}}
[5,1,7,6,4,2,3]=>{{1,5},{2},{3,7},{4,6}}
[5,1,7,6,4,3,2]=>{{1,5},{2},{3,7},{4,6}}
[5,2,1,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,2,1,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,2,1,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,2,1,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}
[5,2,1,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,1,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,1,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,2,1,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,2,1,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,2,1,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}
[5,2,1,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,1,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,1,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,2,1,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}
[5,2,1,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,2,1,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}
[5,2,1,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}
[5,2,1,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}
[5,2,1,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,1,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,1,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,1,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,1,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}
[5,2,1,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}
[5,2,3,1,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,2,3,1,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,2,3,1,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,2,3,1,6,7,4]=>{{1,5,6,7},{2},{3},{4}}
[5,2,3,1,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,3,1,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}
[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}
[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}
[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}
[5,2,3,4,7,1,6]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}
[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}
[5,2,3,6,4,1,7]=>{{1,5},{2},{3},{4,6},{7}}
[5,2,3,6,4,7,1]=>{{1,5},{2},{3},{4,6,7}}
[5,2,3,6,7,1,4]=>{{1,5,7},{2},{3},{4,6}}
[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}
[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,3,7,4,1,6]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,3,7,4,6,1]=>{{1,5},{2},{3},{4,7},{6}}
[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}
[5,2,3,7,6,4,1]=>{{1,5,6},{2},{3},{4,7}}
[5,2,4,1,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}
[5,2,4,1,3,7,6]=>{{1,5},{2},{3,4},{6,7}}
[5,2,4,1,6,3,7]=>{{1,5,6},{2},{3,4},{7}}
[5,2,4,1,6,7,3]=>{{1,5,6,7},{2},{3,4}}
[5,2,4,1,7,3,6]=>{{1,5,7},{2},{3,4},{6}}
[5,2,4,1,7,6,3]=>{{1,5,7},{2},{3,4},{6}}
[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}
[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}
[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}
[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}
[5,2,4,3,7,1,6]=>{{1,5,7},{2},{3,4},{6}}
[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}
[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}
[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}
[5,2,4,6,3,1,7]=>{{1,5},{2},{3,4,6},{7}}
[5,2,4,6,3,7,1]=>{{1,5},{2},{3,4,6,7}}
[5,2,4,6,7,1,3]=>{{1,5,7},{2},{3,4,6}}
[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}
[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,7},{6}}
[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}
[5,2,4,7,3,1,6]=>{{1,5},{2},{3,4,7},{6}}
[5,2,4,7,3,6,1]=>{{1,5},{2},{3,4,7},{6}}
[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}
[5,2,4,7,6,3,1]=>{{1,5,6},{2},{3,4,7}}
[5,2,6,1,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,1,3,7,4]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,1,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,1,4,7,3]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,1,7,3,4]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,1,7,4,3]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,3,1,4,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,3,1,7,4]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,3,4,1,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,3,4,7,1]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,3,7,1,4]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,4,3,1,7]=>{{1,5},{2},{3,6},{4},{7}}
[5,2,6,4,3,7,1]=>{{1,5},{2},{3,6,7},{4}}
[5,2,6,4,7,1,3]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}
[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}
[5,2,6,7,1,4,3]=>{{1,5},{2},{3,6},{4,7}}
[5,2,6,7,3,1,4]=>{{1,5},{2},{3,6},{4,7}}
[5,2,6,7,3,4,1]=>{{1,5},{2},{3,6},{4,7}}
[5,2,6,7,4,1,3]=>{{1,5},{2},{3,6},{4,7}}
[5,2,6,7,4,3,1]=>{{1,5},{2},{3,6},{4,7}}
[5,2,7,1,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,1,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,1,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,1,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,1,6,3,4]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,1,6,4,3]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,3,1,4,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,3,1,6,4]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,3,4,1,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,3,4,6,1]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,3,6,4,1]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,4,1,3,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,4,3,1,6]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,4,3,6,1]=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,4,6,3,1]=>{{1,5,6},{2},{3,7},{4}}
[5,2,7,6,1,3,4]=>{{1,5},{2},{3,7},{4,6}}
[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}
[5,2,7,6,3,1,4]=>{{1,5},{2},{3,7},{4,6}}
[5,2,7,6,3,4,1]=>{{1,5},{2},{3,7},{4,6}}
[5,2,7,6,4,1,3]=>{{1,5},{2},{3,7},{4,6}}
[5,2,7,6,4,3,1]=>{{1,5},{2},{3,7},{4,6}}
[5,3,1,2,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}
[5,3,1,2,4,7,6]=>{{1,5},{2,3},{4},{6,7}}
[5,3,1,2,6,4,7]=>{{1,5,6},{2,3},{4},{7}}
[5,3,1,2,6,7,4]=>{{1,5,6,7},{2,3},{4}}
[5,3,1,2,7,4,6]=>{{1,5,7},{2,3},{4},{6}}
[5,3,1,2,7,6,4]=>{{1,5,7},{2,3},{4},{6}}
[5,3,1,4,2,6,7]=>{{1,5},{2,3},{4},{6},{7}}
[5,3,1,4,2,7,6]=>{{1,5},{2,3},{4},{6,7}}
[5,3,1,4,6,2,7]=>{{1,5,6},{2,3},{4},{7}}
[5,3,1,4,6,7,2]=>{{1,5,6,7},{2,3},{4}}
[5,3,1,4,7,2,6]=>{{1,5,7},{2,3},{4},{6}}
[5,3,1,4,7,6,2]=>{{1,5,7},{2,3},{4},{6}}
[5,3,1,6,2,4,7]=>{{1,5},{2,3},{4,6},{7}}
[5,3,1,6,2,7,4]=>{{1,5},{2,3},{4,6,7}}
[5,3,1,6,4,2,7]=>{{1,5},{2,3},{4,6},{7}}
[5,3,1,6,4,7,2]=>{{1,5},{2,3},{4,6,7}}
[5,3,1,6,7,2,4]=>{{1,5,7},{2,3},{4,6}}
[5,3,1,6,7,4,2]=>{{1,5,7},{2,3},{4,6}}
[5,3,1,7,2,4,6]=>{{1,5},{2,3},{4,7},{6}}
[5,3,1,7,2,6,4]=>{{1,5},{2,3},{4,7},{6}}
[5,3,1,7,4,2,6]=>{{1,5},{2,3},{4,7},{6}}
[5,3,1,7,4,6,2]=>{{1,5},{2,3},{4,7},{6}}
[5,3,1,7,6,2,4]=>{{1,5,6},{2,3},{4,7}}
[5,3,1,7,6,4,2]=>{{1,5,6},{2,3},{4,7}}
[5,3,2,1,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}
[5,3,2,1,4,7,6]=>{{1,5},{2,3},{4},{6,7}}
[5,3,2,1,6,4,7]=>{{1,5,6},{2,3},{4},{7}}
[5,3,2,1,6,7,4]=>{{1,5,6,7},{2,3},{4}}
[5,3,2,1,7,4,6]=>{{1,5,7},{2,3},{4},{6}}
[5,3,2,1,7,6,4]=>{{1,5,7},{2,3},{4},{6}}
[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}
[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}
[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}
[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}
[5,3,2,4,7,1,6]=>{{1,5,7},{2,3},{4},{6}}
[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}
[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}
[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}
[5,3,2,6,4,1,7]=>{{1,5},{2,3},{4,6},{7}}
[5,3,2,6,4,7,1]=>{{1,5},{2,3},{4,6,7}}
[5,3,2,6,7,1,4]=>{{1,5,7},{2,3},{4,6}}
[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}
[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,7},{6}}
[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}
[5,3,2,7,4,1,6]=>{{1,5},{2,3},{4,7},{6}}
[5,3,2,7,4,6,1]=>{{1,5},{2,3},{4,7},{6}}
[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}
[5,3,2,7,6,4,1]=>{{1,5,6},{2,3},{4,7}}
[5,3,4,1,2,6,7]=>{{1,5},{2,3,4},{6},{7}}
[5,3,4,1,2,7,6]=>{{1,5},{2,3,4},{6,7}}
[5,3,4,1,6,2,7]=>{{1,5,6},{2,3,4},{7}}
[5,3,4,1,6,7,2]=>{{1,5,6,7},{2,3,4}}
[5,3,4,1,7,2,6]=>{{1,5,7},{2,3,4},{6}}
[5,3,4,1,7,6,2]=>{{1,5,7},{2,3,4},{6}}
[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}
[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}
[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}
[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}
[5,3,4,2,7,1,6]=>{{1,5,7},{2,3,4},{6}}
[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}
[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}
[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}
[5,3,4,6,2,1,7]=>{{1,5},{2,3,4,6},{7}}
[5,3,4,6,2,7,1]=>{{1,5},{2,3,4,6,7}}
[5,3,4,6,7,1,2]=>{{1,5,7},{2,3,4,6}}
[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}
[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,7},{6}}
[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}
[5,3,4,7,2,1,6]=>{{1,5},{2,3,4,7},{6}}
[5,3,4,7,2,6,1]=>{{1,5},{2,3,4,7},{6}}
[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}
[5,3,4,7,6,2,1]=>{{1,5,6},{2,3,4,7}}
[5,3,6,1,2,4,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,1,2,7,4]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,1,4,2,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,1,4,7,2]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,1,7,2,4]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,1,7,4,2]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,2,1,4,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,2,1,7,4]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,2,4,1,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,2,4,7,1]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,2,7,1,4]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,4,2,1,7]=>{{1,5},{2,3,6},{4},{7}}
[5,3,6,4,2,7,1]=>{{1,5},{2,3,6,7},{4}}
[5,3,6,4,7,1,2]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}
[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}
[5,3,6,7,1,4,2]=>{{1,5},{2,3,6},{4,7}}
[5,3,6,7,2,1,4]=>{{1,5},{2,3,6},{4,7}}
[5,3,6,7,2,4,1]=>{{1,5},{2,3,6},{4,7}}
[5,3,6,7,4,1,2]=>{{1,5},{2,3,6},{4,7}}
[5,3,6,7,4,2,1]=>{{1,5},{2,3,6},{4,7}}
[5,3,7,1,2,4,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,1,2,6,4]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,1,4,2,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,1,4,6,2]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,1,6,2,4]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,1,6,4,2]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,2,1,4,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,2,1,6,4]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,2,4,1,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,2,4,6,1]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,2,6,4,1]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,4,1,2,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,4,2,1,6]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,4,2,6,1]=>{{1,5},{2,3,7},{4},{6}}
[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,4,6,2,1]=>{{1,5,6},{2,3,7},{4}}
[5,3,7,6,1,2,4]=>{{1,5},{2,3,7},{4,6}}
[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}
[5,3,7,6,2,1,4]=>{{1,5},{2,3,7},{4,6}}
[5,3,7,6,2,4,1]=>{{1,5},{2,3,7},{4,6}}
[5,3,7,6,4,1,2]=>{{1,5},{2,3,7},{4,6}}
[5,3,7,6,4,2,1]=>{{1,5},{2,3,7},{4,6}}
[5,4,1,2,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,1,2,3,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,1,2,6,3,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,1,2,6,7,3]=>{{1,5,6,7},{2,4},{3}}
[5,4,1,2,7,3,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,1,2,7,6,3]=>{{1,5,7},{2,4},{3},{6}}
[5,4,1,3,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,1,3,2,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,1,3,6,2,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,1,3,6,7,2]=>{{1,5,6,7},{2,4},{3}}
[5,4,1,3,7,2,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,1,3,7,6,2]=>{{1,5,7},{2,4},{3},{6}}
[5,4,1,6,2,3,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,1,6,2,7,3]=>{{1,5},{2,4,6,7},{3}}
[5,4,1,6,3,2,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,1,6,3,7,2]=>{{1,5},{2,4,6,7},{3}}
[5,4,1,6,7,2,3]=>{{1,5,7},{2,4,6},{3}}
[5,4,1,6,7,3,2]=>{{1,5,7},{2,4,6},{3}}
[5,4,1,7,2,3,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,1,7,2,6,3]=>{{1,5},{2,4,7},{3},{6}}
[5,4,1,7,3,2,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,1,7,3,6,2]=>{{1,5},{2,4,7},{3},{6}}
[5,4,1,7,6,2,3]=>{{1,5,6},{2,4,7},{3}}
[5,4,1,7,6,3,2]=>{{1,5,6},{2,4,7},{3}}
[5,4,2,1,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,2,1,3,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,2,1,6,3,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,2,1,6,7,3]=>{{1,5,6,7},{2,4},{3}}
[5,4,2,1,7,3,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,2,1,7,6,3]=>{{1,5,7},{2,4},{3},{6}}
[5,4,2,3,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,2,3,1,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,2,3,6,1,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,4},{3}}
[5,4,2,3,7,1,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,2,3,7,6,1]=>{{1,5,7},{2,4},{3},{6}}
[5,4,2,6,1,3,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,2,6,1,7,3]=>{{1,5},{2,4,6,7},{3}}
[5,4,2,6,3,1,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,2,6,3,7,1]=>{{1,5},{2,4,6,7},{3}}
[5,4,2,6,7,1,3]=>{{1,5,7},{2,4,6},{3}}
[5,4,2,6,7,3,1]=>{{1,5,7},{2,4,6},{3}}
[5,4,2,7,1,3,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,2,7,1,6,3]=>{{1,5},{2,4,7},{3},{6}}
[5,4,2,7,3,1,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,2,7,3,6,1]=>{{1,5},{2,4,7},{3},{6}}
[5,4,2,7,6,1,3]=>{{1,5,6},{2,4,7},{3}}
[5,4,2,7,6,3,1]=>{{1,5,6},{2,4,7},{3}}
[5,4,3,1,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,3,1,2,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,3,1,6,2,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,3,1,6,7,2]=>{{1,5,6,7},{2,4},{3}}
[5,4,3,1,7,2,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,3,1,7,6,2]=>{{1,5,7},{2,4},{3},{6}}
[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}
[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}
[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}
[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}
[5,4,3,2,7,1,6]=>{{1,5,7},{2,4},{3},{6}}
[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}
[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}
[5,4,3,6,2,1,7]=>{{1,5},{2,4,6},{3},{7}}
[5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}
[5,4,3,6,7,1,2]=>{{1,5,7},{2,4,6},{3}}
[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}
[5,4,3,7,1,2,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}
[5,4,3,7,2,1,6]=>{{1,5},{2,4,7},{3},{6}}
[5,4,3,7,2,6,1]=>{{1,5},{2,4,7},{3},{6}}
[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}
[5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}
[5,4,6,1,2,3,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,1,2,7,3]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,1,3,2,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,1,3,7,2]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,1,7,2,3]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,1,7,3,2]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,2,3,1,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,2,3,7,1]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,2,7,1,3]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,3,1,2,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,3,1,7,2]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,3,2,1,7]=>{{1,5},{2,4},{3,6},{7}}
[5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}
[5,4,6,3,7,1,2]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}
[5,4,6,7,1,2,3]=>{{1,5},{2,4,7},{3,6}}
[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}
[5,4,6,7,2,1,3]=>{{1,5},{2,4,7},{3,6}}
[5,4,6,7,2,3,1]=>{{1,5},{2,4,7},{3,6}}
[5,4,6,7,3,1,2]=>{{1,5},{2,4,7},{3,6}}
[5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}
[5,4,7,1,2,3,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,1,2,6,3]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,1,3,2,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,1,3,6,2]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,1,6,2,3]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,1,6,3,2]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,2,3,1,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,2,3,6,1]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,2,6,3,1]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,3,1,2,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,3,1,6,2]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,3,2,1,6]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,3,2,6,1]=>{{1,5},{2,4},{3,7},{6}}
[5,4,7,3,6,1,2]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,3,6,2,1]=>{{1,5,6},{2,4},{3,7}}
[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}
[5,4,7,6,1,3,2]=>{{1,5},{2,4,6},{3,7}}
[5,4,7,6,2,1,3]=>{{1,5},{2,4,6},{3,7}}
[5,4,7,6,2,3,1]=>{{1,5},{2,4,6},{3,7}}
[5,4,7,6,3,1,2]=>{{1,5},{2,4,6},{3,7}}
[5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}
[5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,2,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,2,4,7,3]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,2,7,4,3]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,3,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,3,2,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,3,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,3,4,7,2]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,3,7,2,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,3,7,4,2]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,4,2,3,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,4,2,7,3]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,4,3,2,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,1,4,3,7,2]=>{{1,5},{2,6,7},{3},{4}}
[5,6,1,4,7,2,3]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,4,7,3,2]=>{{1,5,7},{2,6},{3},{4}}
[5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,1,7,2,4,3]=>{{1,5},{2,6},{3},{4,7}}
[5,6,1,7,3,2,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,1,7,3,4,2]=>{{1,5},{2,6},{3},{4,7}}
[5,6,1,7,4,2,3]=>{{1,5},{2,6},{3},{4,7}}
[5,6,1,7,4,3,2]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,1,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,1,3,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,1,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,1,4,7,3]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,1,7,3,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,1,7,4,3]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,3,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,3,1,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,3,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,3,4,7,1]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,3,7,1,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,3,7,4,1]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,4,1,3,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,4,1,7,3]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,4,3,1,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,2,4,3,7,1]=>{{1,5},{2,6,7},{3},{4}}
[5,6,2,4,7,1,3]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,4,7,3,1]=>{{1,5,7},{2,6},{3},{4}}
[5,6,2,7,1,3,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,7,1,4,3]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,7,3,1,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,7,3,4,1]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,7,4,1,3]=>{{1,5},{2,6},{3},{4,7}}
[5,6,2,7,4,3,1]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,1,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,1,2,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,1,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,1,4,7,2]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,1,7,2,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,1,7,4,2]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,2,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,2,1,7,4]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,2,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,2,4,7,1]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,2,7,1,4]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,2,7,4,1]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,4,2,1,7]=>{{1,5},{2,6},{3},{4},{7}}
[5,6,3,4,2,7,1]=>{{1,5},{2,6,7},{3},{4}}
[5,6,3,4,7,1,2]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}
[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,7,1,4,2]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,7,2,1,4]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,7,2,4,1]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,7,4,1,2]=>{{1,5},{2,6},{3},{4,7}}
[5,6,3,7,4,2,1]=>{{1,5},{2,6},{3},{4,7}}
[5,6,4,1,2,3,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,1,2,7,3]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,1,3,2,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,1,3,7,2]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,1,7,2,3]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,1,7,3,2]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,2,1,3,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,2,1,7,3]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,2,3,1,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,2,3,7,1]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,2,7,1,3]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,2,7,3,1]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,3,2,1,7]=>{{1,5},{2,6},{3,4},{7}}
[5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}
[5,6,4,3,7,1,2]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}
[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}
[5,6,4,7,1,3,2]=>{{1,5},{2,6},{3,4,7}}
[5,6,4,7,2,1,3]=>{{1,5},{2,6},{3,4,7}}
[5,6,4,7,2,3,1]=>{{1,5},{2,6},{3,4,7}}
[5,6,4,7,3,1,2]=>{{1,5},{2,6},{3,4,7}}
[5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}
[5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,1,2,4,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,1,3,2,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,1,3,4,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,1,4,2,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,1,4,3,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,1,3,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,1,4,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,3,1,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,3,4,1]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,4,1,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,4,3,1]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,1,4,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,2,1,4]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,2,4,1]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,4,1,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,4,2,1]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,1,3,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,2,1,3]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,2,3,1]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,3,1,2]=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}
[5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,2,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,2,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,2,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,2,6,3,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,2,6,4,3]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,3,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,3,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,3,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,3,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,3,6,2,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,3,6,4,2]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,4,2,3,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,4,2,6,3]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,4,3,2,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,4,3,6,2]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,1,4,6,2,3]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,4,6,3,2]=>{{1,5,6},{2,7},{3},{4}}
[5,7,1,6,2,3,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,1,6,2,4,3]=>{{1,5},{2,7},{3},{4,6}}
[5,7,1,6,3,2,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,1,6,3,4,2]=>{{1,5},{2,7},{3},{4,6}}
[5,7,1,6,4,2,3]=>{{1,5},{2,7},{3},{4,6}}
[5,7,1,6,4,3,2]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,1,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,1,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,1,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,1,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,1,6,3,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,1,6,4,3]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,3,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,3,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,3,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,3,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,3,6,1,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,3,6,4,1]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,4,1,3,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,4,1,6,3]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,4,3,1,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,4,3,6,1]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,2,4,6,1,3]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,4,6,3,1]=>{{1,5,6},{2,7},{3},{4}}
[5,7,2,6,1,3,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,6,1,4,3]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,6,3,1,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,6,3,4,1]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,6,4,1,3]=>{{1,5},{2,7},{3},{4,6}}
[5,7,2,6,4,3,1]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,1,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,1,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,1,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,1,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,1,6,2,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,1,6,4,2]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,2,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,2,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,2,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,2,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,2,6,1,4]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,2,6,4,1]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,4,1,2,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,4,2,1,6]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,4,2,6,1]=>{{1,5},{2,7},{3},{4},{6}}
[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,4,6,2,1]=>{{1,5,6},{2,7},{3},{4}}
[5,7,3,6,1,2,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,6,2,1,4]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,6,2,4,1]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,6,4,1,2]=>{{1,5},{2,7},{3},{4,6}}
[5,7,3,6,4,2,1]=>{{1,5},{2,7},{3},{4,6}}
[5,7,4,1,2,3,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,1,2,6,3]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,1,3,2,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,1,3,6,2]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,1,6,2,3]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,1,6,3,2]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,2,1,3,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,2,1,6,3]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,2,3,1,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,2,3,6,1]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,2,6,1,3]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,2,6,3,1]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,3,1,2,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,3,2,1,6]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,3,2,6,1]=>{{1,5},{2,7},{3,4},{6}}
[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,3,6,2,1]=>{{1,5,6},{2,7},{3,4}}
[5,7,4,6,1,2,3]=>{{1,5},{2,7},{3,4,6}}
[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}
[5,7,4,6,2,1,3]=>{{1,5},{2,7},{3,4,6}}
[5,7,4,6,2,3,1]=>{{1,5},{2,7},{3,4,6}}
[5,7,4,6,3,1,2]=>{{1,5},{2,7},{3,4,6}}
[5,7,4,6,3,2,1]=>{{1,5},{2,7},{3,4,6}}
[5,7,6,1,2,3,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,1,2,4,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,1,3,2,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,1,3,4,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,1,4,2,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,1,4,3,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,1,3,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,1,4,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,3,1,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,3,4,1]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,4,1,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,2,4,3,1]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,1,2,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,2,1,4]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,2,4,1]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,4,1,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,3,4,2,1]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,1,2,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,2,1,3]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,2,3,1]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,3,1,2]=>{{1,5},{2,7},{3,6},{4}}
[5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}
[6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,2,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,2,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,2,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,2,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,2,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,2,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,2,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}
[6,1,2,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}
[6,1,2,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}
[6,1,2,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}
[6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,2,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,2,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,2,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,2,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,2,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,2,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,3,2,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,3,2,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,3,2,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,3,2,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,3,2,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,3,4,2,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,3,4,2,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,3,4,5,2,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,3,4,5,7,2]=>{{1,6,7},{2},{3},{4},{5}}
[6,1,3,4,7,2,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,3,4,7,5,2]=>{{1,6},{2},{3},{4},{5,7}}
[6,1,3,5,2,4,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,1,3,5,2,7,4]=>{{1,6,7},{2},{3},{4,5}}
[6,1,3,5,4,2,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,1,3,5,4,7,2]=>{{1,6,7},{2},{3},{4,5}}
[6,1,3,5,7,2,4]=>{{1,6},{2},{3},{4,5,7}}
[6,1,3,5,7,4,2]=>{{1,6},{2},{3},{4,5,7}}
[6,1,3,7,2,4,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,7,2,5,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,7,4,2,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,7,4,5,2]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,7,5,2,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,3,7,5,4,2]=>{{1,6},{2},{3},{4,7},{5}}
[6,1,4,2,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,1,4,2,3,7,5]=>{{1,6,7},{2},{3,4},{5}}
[6,1,4,2,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,1,4,2,5,7,3]=>{{1,6,7},{2},{3,4},{5}}
[6,1,4,2,7,3,5]=>{{1,6},{2},{3,4},{5,7}}
[6,1,4,2,7,5,3]=>{{1,6},{2},{3,4},{5,7}}
[6,1,4,3,2,5,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,1,4,3,2,7,5]=>{{1,6,7},{2},{3,4},{5}}
[6,1,4,3,5,2,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,1,4,3,5,7,2]=>{{1,6,7},{2},{3,4},{5}}
[6,1,4,3,7,2,5]=>{{1,6},{2},{3,4},{5,7}}
[6,1,4,3,7,5,2]=>{{1,6},{2},{3,4},{5,7}}
[6,1,4,5,2,3,7]=>{{1,6},{2},{3,4,5},{7}}
[6,1,4,5,2,7,3]=>{{1,6,7},{2},{3,4,5}}
[6,1,4,5,3,2,7]=>{{1,6},{2},{3,4,5},{7}}
[6,1,4,5,3,7,2]=>{{1,6,7},{2},{3,4,5}}
[6,1,4,5,7,2,3]=>{{1,6},{2},{3,4,5,7}}
[6,1,4,5,7,3,2]=>{{1,6},{2},{3,4,5,7}}
[6,1,4,7,2,3,5]=>{{1,6},{2},{3,4,7},{5}}
[6,1,4,7,2,5,3]=>{{1,6},{2},{3,4,7},{5}}
[6,1,4,7,3,2,5]=>{{1,6},{2},{3,4,7},{5}}
[6,1,4,7,3,5,2]=>{{1,6},{2},{3,4,7},{5}}
[6,1,4,7,5,2,3]=>{{1,6},{2},{3,4,7},{5}}
[6,1,4,7,5,3,2]=>{{1,6},{2},{3,4,7},{5}}
[6,1,5,2,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,2,3,7,4]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,2,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,2,4,7,3]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,2,7,3,4]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,2,7,4,3]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,3,2,4,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,3,2,7,4]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,3,4,2,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,3,4,7,2]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,3,7,2,4]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,3,7,4,2]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,4,2,3,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,4,2,7,3]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,4,3,2,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,4,3,7,2]=>{{1,6,7},{2},{3,5},{4}}
[6,1,5,4,7,2,3]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,4,7,3,2]=>{{1,6},{2},{3,5,7},{4}}
[6,1,5,7,2,3,4]=>{{1,6},{2},{3,5},{4,7}}
[6,1,5,7,2,4,3]=>{{1,6},{2},{3,5},{4,7}}
[6,1,5,7,3,2,4]=>{{1,6},{2},{3,5},{4,7}}
[6,1,5,7,3,4,2]=>{{1,6},{2},{3,5},{4,7}}
[6,1,5,7,4,2,3]=>{{1,6},{2},{3,5},{4,7}}
[6,1,5,7,4,3,2]=>{{1,6},{2},{3,5},{4,7}}
[6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,2,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,2,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,2,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,2,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,2,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,2,4,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,2,5,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,4,2,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,4,5,2]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,5,2,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,3,5,4,2]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,2,3,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,2,5,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,3,2,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,3,5,2]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,5,2,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,4,5,3,2]=>{{1,6},{2},{3,7},{4},{5}}
[6,1,7,5,2,3,4]=>{{1,6},{2},{3,7},{4,5}}
[6,1,7,5,2,4,3]=>{{1,6},{2},{3,7},{4,5}}
[6,1,7,5,3,2,4]=>{{1,6},{2},{3,7},{4,5}}
[6,1,7,5,3,4,2]=>{{1,6},{2},{3,7},{4,5}}
[6,1,7,5,4,2,3]=>{{1,6},{2},{3,7},{4,5}}
[6,1,7,5,4,3,2]=>{{1,6},{2},{3,7},{4,5}}
[6,2,1,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,1,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,1,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,1,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,1,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,1,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,1,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,1,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,1,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,1,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,1,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,1,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,1,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,2,1,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}
[6,2,1,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,2,1,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}
[6,2,1,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}
[6,2,1,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}
[6,2,1,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,1,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,1,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,1,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,1,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,1,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,1,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,3,1,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,3,1,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,3,1,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,3,1,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,3,1,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,3,4,1,5,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,3,4,1,7,5]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}
[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}
[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,3,4,7,5,1]=>{{1,6},{2},{3},{4},{5,7}}
[6,2,3,5,1,4,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,2,3,5,1,7,4]=>{{1,6,7},{2},{3},{4,5}}
[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}
[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}
[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}
[6,2,3,5,7,4,1]=>{{1,6},{2},{3},{4,5,7}}
[6,2,3,7,1,4,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,7,1,5,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,7,4,5,1]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,3,7,5,4,1]=>{{1,6},{2},{3},{4,7},{5}}
[6,2,4,1,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,2,4,1,3,7,5]=>{{1,6,7},{2},{3,4},{5}}
[6,2,4,1,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,2,4,1,5,7,3]=>{{1,6,7},{2},{3,4},{5}}
[6,2,4,1,7,3,5]=>{{1,6},{2},{3,4},{5,7}}
[6,2,4,1,7,5,3]=>{{1,6},{2},{3,4},{5,7}}
[6,2,4,3,1,5,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,2,4,3,1,7,5]=>{{1,6,7},{2},{3,4},{5}}
[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}
[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}
[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}
[6,2,4,3,7,5,1]=>{{1,6},{2},{3,4},{5,7}}
[6,2,4,5,1,3,7]=>{{1,6},{2},{3,4,5},{7}}
[6,2,4,5,1,7,3]=>{{1,6,7},{2},{3,4,5}}
[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}
[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}
[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}
[6,2,4,5,7,3,1]=>{{1,6},{2},{3,4,5,7}}
[6,2,4,7,1,3,5]=>{{1,6},{2},{3,4,7},{5}}
[6,2,4,7,1,5,3]=>{{1,6},{2},{3,4,7},{5}}
[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,7},{5}}
[6,2,4,7,3,5,1]=>{{1,6},{2},{3,4,7},{5}}
[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}
[6,2,4,7,5,3,1]=>{{1,6},{2},{3,4,7},{5}}
[6,2,5,1,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,1,3,7,4]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,1,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,1,4,7,3]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,1,7,3,4]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,1,7,4,3]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,3,1,4,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,3,1,7,4]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,3,4,1,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,3,7,1,4]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,3,7,4,1]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,4,1,3,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,4,1,7,3]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}
[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}
[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,4,7,3,1]=>{{1,6},{2},{3,5,7},{4}}
[6,2,5,7,1,3,4]=>{{1,6},{2},{3,5},{4,7}}
[6,2,5,7,1,4,3]=>{{1,6},{2},{3,5},{4,7}}
[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}
[6,2,5,7,3,4,1]=>{{1,6},{2},{3,5},{4,7}}
[6,2,5,7,4,1,3]=>{{1,6},{2},{3,5},{4,7}}
[6,2,5,7,4,3,1]=>{{1,6},{2},{3,5},{4,7}}
[6,2,7,1,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,1,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,1,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,1,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,1,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,1,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,1,4,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,1,5,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,4,1,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,4,5,1]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,5,1,4]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,3,5,4,1]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,1,3,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,1,5,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,3,1,5]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,3,5,1]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,4,5,3,1]=>{{1,6},{2},{3,7},{4},{5}}
[6,2,7,5,1,3,4]=>{{1,6},{2},{3,7},{4,5}}
[6,2,7,5,1,4,3]=>{{1,6},{2},{3,7},{4,5}}
[6,2,7,5,3,1,4]=>{{1,6},{2},{3,7},{4,5}}
[6,2,7,5,3,4,1]=>{{1,6},{2},{3,7},{4,5}}
[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}
[6,2,7,5,4,3,1]=>{{1,6},{2},{3,7},{4,5}}
[6,3,1,2,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,1,2,4,7,5]=>{{1,6,7},{2,3},{4},{5}}
[6,3,1,2,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,1,2,5,7,4]=>{{1,6,7},{2,3},{4},{5}}
[6,3,1,2,7,4,5]=>{{1,6},{2,3},{4},{5,7}}
[6,3,1,2,7,5,4]=>{{1,6},{2,3},{4},{5,7}}
[6,3,1,4,2,5,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,1,4,2,7,5]=>{{1,6,7},{2,3},{4},{5}}
[6,3,1,4,5,2,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,1,4,5,7,2]=>{{1,6,7},{2,3},{4},{5}}
[6,3,1,4,7,2,5]=>{{1,6},{2,3},{4},{5,7}}
[6,3,1,4,7,5,2]=>{{1,6},{2,3},{4},{5,7}}
[6,3,1,5,2,4,7]=>{{1,6},{2,3},{4,5},{7}}
[6,3,1,5,2,7,4]=>{{1,6,7},{2,3},{4,5}}
[6,3,1,5,4,2,7]=>{{1,6},{2,3},{4,5},{7}}
[6,3,1,5,4,7,2]=>{{1,6,7},{2,3},{4,5}}
[6,3,1,5,7,2,4]=>{{1,6},{2,3},{4,5,7}}
[6,3,1,5,7,4,2]=>{{1,6},{2,3},{4,5,7}}
[6,3,1,7,2,4,5]=>{{1,6},{2,3},{4,7},{5}}
[6,3,1,7,2,5,4]=>{{1,6},{2,3},{4,7},{5}}
[6,3,1,7,4,2,5]=>{{1,6},{2,3},{4,7},{5}}
[6,3,1,7,4,5,2]=>{{1,6},{2,3},{4,7},{5}}
[6,3,1,7,5,2,4]=>{{1,6},{2,3},{4,7},{5}}
[6,3,1,7,5,4,2]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,1,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,2,1,4,7,5]=>{{1,6,7},{2,3},{4},{5}}
[6,3,2,1,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,2,1,5,7,4]=>{{1,6,7},{2,3},{4},{5}}
[6,3,2,1,7,4,5]=>{{1,6},{2,3},{4},{5,7}}
[6,3,2,1,7,5,4]=>{{1,6},{2,3},{4},{5,7}}
[6,3,2,4,1,5,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,2,4,1,7,5]=>{{1,6,7},{2,3},{4},{5}}
[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}
[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}
[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}
[6,3,2,4,7,5,1]=>{{1,6},{2,3},{4},{5,7}}
[6,3,2,5,1,4,7]=>{{1,6},{2,3},{4,5},{7}}
[6,3,2,5,1,7,4]=>{{1,6,7},{2,3},{4,5}}
[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}
[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}
[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}
[6,3,2,5,7,4,1]=>{{1,6},{2,3},{4,5,7}}
[6,3,2,7,1,4,5]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,7,1,5,4]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,7,4,5,1]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}
[6,3,2,7,5,4,1]=>{{1,6},{2,3},{4,7},{5}}
[6,3,4,1,2,5,7]=>{{1,6},{2,3,4},{5},{7}}
[6,3,4,1,2,7,5]=>{{1,6,7},{2,3,4},{5}}
[6,3,4,1,5,2,7]=>{{1,6},{2,3,4},{5},{7}}
[6,3,4,1,5,7,2]=>{{1,6,7},{2,3,4},{5}}
[6,3,4,1,7,2,5]=>{{1,6},{2,3,4},{5,7}}
[6,3,4,1,7,5,2]=>{{1,6},{2,3,4},{5,7}}
[6,3,4,2,1,5,7]=>{{1,6},{2,3,4},{5},{7}}
[6,3,4,2,1,7,5]=>{{1,6,7},{2,3,4},{5}}
[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}
[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}
[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}
[6,3,4,2,7,5,1]=>{{1,6},{2,3,4},{5,7}}
[6,3,4,5,1,2,7]=>{{1,6},{2,3,4,5},{7}}
[6,3,4,5,1,7,2]=>{{1,6,7},{2,3,4,5}}
[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}
[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}
[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}
[6,3,4,5,7,2,1]=>{{1,6},{2,3,4,5,7}}
[6,3,4,7,1,2,5]=>{{1,6},{2,3,4,7},{5}}
[6,3,4,7,1,5,2]=>{{1,6},{2,3,4,7},{5}}
[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,7},{5}}
[6,3,4,7,2,5,1]=>{{1,6},{2,3,4,7},{5}}
[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}
[6,3,4,7,5,2,1]=>{{1,6},{2,3,4,7},{5}}
[6,3,5,1,2,4,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,1,2,7,4]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,1,4,2,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,1,4,7,2]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,1,7,2,4]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,1,7,4,2]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,2,1,4,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,2,1,7,4]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,2,4,1,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,2,7,1,4]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,2,7,4,1]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,4,1,2,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,4,1,7,2]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}
[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}
[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,4,7,2,1]=>{{1,6},{2,3,5,7},{4}}
[6,3,5,7,1,2,4]=>{{1,6},{2,3,5},{4,7}}
[6,3,5,7,1,4,2]=>{{1,6},{2,3,5},{4,7}}
[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}
[6,3,5,7,2,4,1]=>{{1,6},{2,3,5},{4,7}}
[6,3,5,7,4,1,2]=>{{1,6},{2,3,5},{4,7}}
[6,3,5,7,4,2,1]=>{{1,6},{2,3,5},{4,7}}
[6,3,7,1,2,4,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,1,2,5,4]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,1,4,2,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,1,4,5,2]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,1,5,2,4]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,1,5,4,2]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,1,4,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,1,5,4]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,4,1,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,4,5,1]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,5,1,4]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,2,5,4,1]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,1,2,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,1,5,2]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,2,1,5]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,2,5,1]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,4,5,2,1]=>{{1,6},{2,3,7},{4},{5}}
[6,3,7,5,1,2,4]=>{{1,6},{2,3,7},{4,5}}
[6,3,7,5,1,4,2]=>{{1,6},{2,3,7},{4,5}}
[6,3,7,5,2,1,4]=>{{1,6},{2,3,7},{4,5}}
[6,3,7,5,2,4,1]=>{{1,6},{2,3,7},{4,5}}
[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}
[6,3,7,5,4,2,1]=>{{1,6},{2,3,7},{4,5}}
[6,4,1,2,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,1,2,3,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,1,2,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,1,2,5,7,3]=>{{1,6,7},{2,4},{3},{5}}
[6,4,1,2,7,3,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,1,2,7,5,3]=>{{1,6},{2,4},{3},{5,7}}
[6,4,1,3,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,1,3,2,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,1,3,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,1,3,5,7,2]=>{{1,6,7},{2,4},{3},{5}}
[6,4,1,3,7,2,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,1,3,7,5,2]=>{{1,6},{2,4},{3},{5,7}}
[6,4,1,5,2,3,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,1,5,2,7,3]=>{{1,6,7},{2,4,5},{3}}
[6,4,1,5,3,2,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,1,5,3,7,2]=>{{1,6,7},{2,4,5},{3}}
[6,4,1,5,7,2,3]=>{{1,6},{2,4,5,7},{3}}
[6,4,1,5,7,3,2]=>{{1,6},{2,4,5,7},{3}}
[6,4,1,7,2,3,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,1,7,2,5,3]=>{{1,6},{2,4,7},{3},{5}}
[6,4,1,7,3,2,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,1,7,3,5,2]=>{{1,6},{2,4,7},{3},{5}}
[6,4,1,7,5,2,3]=>{{1,6},{2,4,7},{3},{5}}
[6,4,1,7,5,3,2]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,1,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,2,1,3,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,2,1,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,2,1,5,7,3]=>{{1,6,7},{2,4},{3},{5}}
[6,4,2,1,7,3,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,2,1,7,5,3]=>{{1,6},{2,4},{3},{5,7}}
[6,4,2,3,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,2,3,1,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,2,3,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,2,3,5,7,1]=>{{1,6,7},{2,4},{3},{5}}
[6,4,2,3,7,1,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,2,3,7,5,1]=>{{1,6},{2,4},{3},{5,7}}
[6,4,2,5,1,3,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,2,5,1,7,3]=>{{1,6,7},{2,4,5},{3}}
[6,4,2,5,3,1,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,2,5,3,7,1]=>{{1,6,7},{2,4,5},{3}}
[6,4,2,5,7,1,3]=>{{1,6},{2,4,5,7},{3}}
[6,4,2,5,7,3,1]=>{{1,6},{2,4,5,7},{3}}
[6,4,2,7,1,3,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,7,1,5,3]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,7,3,1,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,7,3,5,1]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,7,5,1,3]=>{{1,6},{2,4,7},{3},{5}}
[6,4,2,7,5,3,1]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,1,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,3,1,2,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,3,1,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,3,1,5,7,2]=>{{1,6,7},{2,4},{3},{5}}
[6,4,3,1,7,2,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,3,1,7,5,2]=>{{1,6},{2,4},{3},{5,7}}
[6,4,3,2,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,3,2,1,7,5]=>{{1,6,7},{2,4},{3},{5}}
[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}
[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}
[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}
[6,4,3,2,7,5,1]=>{{1,6},{2,4},{3},{5,7}}
[6,4,3,5,1,2,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,3,5,1,7,2]=>{{1,6,7},{2,4,5},{3}}
[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}
[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}
[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}
[6,4,3,5,7,2,1]=>{{1,6},{2,4,5,7},{3}}
[6,4,3,7,1,2,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,7,1,5,2]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,7,2,1,5]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,7,2,5,1]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}
[6,4,3,7,5,2,1]=>{{1,6},{2,4,7},{3},{5}}
[6,4,5,1,2,3,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,1,2,7,3]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,1,3,2,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,1,3,7,2]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,1,7,2,3]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,1,7,3,2]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,2,1,3,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,2,1,7,3]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,2,7,3,1]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,3,1,2,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,3,1,7,2]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,3,2,1,7]=>{{1,6},{2,4},{3,5},{7}}
[6,4,5,3,2,7,1]=>{{1,6,7},{2,4},{3,5}}
[6,4,5,3,7,1,2]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,3,7,2,1]=>{{1,6},{2,4},{3,5,7}}
[6,4,5,7,1,2,3]=>{{1,6},{2,4,7},{3,5}}
[6,4,5,7,1,3,2]=>{{1,6},{2,4,7},{3,5}}
[6,4,5,7,2,1,3]=>{{1,6},{2,4,7},{3,5}}
[6,4,5,7,2,3,1]=>{{1,6},{2,4,7},{3,5}}
[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}
[6,4,5,7,3,2,1]=>{{1,6},{2,4,7},{3,5}}
[6,4,7,1,2,3,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,1,2,5,3]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,1,3,2,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,1,3,5,2]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,1,5,2,3]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,1,5,3,2]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,1,3,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,1,5,3]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,3,5,1]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,2,5,3,1]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,1,2,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,1,5,2]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,2,1,5]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,2,5,1]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,5,1,2]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,3,5,2,1]=>{{1,6},{2,4},{3,7},{5}}
[6,4,7,5,1,2,3]=>{{1,6},{2,4,5},{3,7}}
[6,4,7,5,1,3,2]=>{{1,6},{2,4,5},{3,7}}
[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}
[6,4,7,5,2,3,1]=>{{1,6},{2,4,5},{3,7}}
[6,4,7,5,3,1,2]=>{{1,6},{2,4,5},{3,7}}
[6,4,7,5,3,2,1]=>{{1,6},{2,4,5},{3,7}}
[6,5,1,2,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,2,3,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,2,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,2,4,7,3]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,2,7,3,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,2,7,4,3]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,3,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,3,2,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,3,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,3,4,7,2]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,3,7,2,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,3,7,4,2]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,4,2,3,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,4,2,7,3]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,4,3,2,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,4,3,7,2]=>{{1,6,7},{2,5},{3},{4}}
[6,5,1,4,7,2,3]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,4,7,3,2]=>{{1,6},{2,5,7},{3},{4}}
[6,5,1,7,2,3,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,1,7,2,4,3]=>{{1,6},{2,5},{3},{4,7}}
[6,5,1,7,3,2,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,1,7,3,4,2]=>{{1,6},{2,5},{3},{4,7}}
[6,5,1,7,4,2,3]=>{{1,6},{2,5},{3},{4,7}}
[6,5,1,7,4,3,2]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,1,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,1,3,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,1,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,1,4,7,3]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,1,7,3,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,1,7,4,3]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,3,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,3,1,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,3,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,3,4,7,1]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,3,7,1,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,3,7,4,1]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,4,1,3,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,4,1,7,3]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,4,3,1,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,2,4,3,7,1]=>{{1,6,7},{2,5},{3},{4}}
[6,5,2,4,7,1,3]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,4,7,3,1]=>{{1,6},{2,5,7},{3},{4}}
[6,5,2,7,1,3,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,7,1,4,3]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,7,3,1,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,7,3,4,1]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,7,4,1,3]=>{{1,6},{2,5},{3},{4,7}}
[6,5,2,7,4,3,1]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,1,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,1,2,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,1,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,1,4,7,2]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,1,7,2,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,1,7,4,2]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,2,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,2,1,7,4]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,2,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,2,4,7,1]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,2,7,1,4]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,2,7,4,1]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,4,1,2,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,4,1,7,2]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}
[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}
[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,4,7,2,1]=>{{1,6},{2,5,7},{3},{4}}
[6,5,3,7,1,2,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,7,1,4,2]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,7,2,4,1]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,7,4,1,2]=>{{1,6},{2,5},{3},{4,7}}
[6,5,3,7,4,2,1]=>{{1,6},{2,5},{3},{4,7}}
[6,5,4,1,2,3,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,1,2,7,3]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,1,3,2,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,1,3,7,2]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,1,7,2,3]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,1,7,3,2]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,2,1,3,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,2,1,7,3]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,2,3,1,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,2,3,7,1]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,2,7,1,3]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,2,7,3,1]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,3,1,2,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,3,1,7,2]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}
[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}
[6,5,4,7,1,2,3]=>{{1,6},{2,5},{3,4,7}}
[6,5,4,7,1,3,2]=>{{1,6},{2,5},{3,4,7}}
[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}
[6,5,4,7,2,3,1]=>{{1,6},{2,5},{3,4,7}}
[6,5,4,7,3,1,2]=>{{1,6},{2,5},{3,4,7}}
[6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}
[6,5,7,1,2,3,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,1,2,4,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,1,3,2,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,1,3,4,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,1,4,2,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,1,4,3,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,1,3,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,1,4,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,3,1,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,3,4,1]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,4,1,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,2,4,3,1]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,1,2,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,1,4,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,2,4,1]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,4,1,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,3,4,2,1]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,1,2,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,1,3,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,2,3,1]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,3,1,2]=>{{1,6},{2,5},{3,7},{4}}
[6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}
[6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,2,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,2,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,2,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,2,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,2,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,2,3,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,2,5,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,3,2,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,3,5,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,5,2,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,5,3,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,5,2,3,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,1,5,2,4,3]=>{{1,6},{2,7},{3},{4,5}}
[6,7,1,5,3,2,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,1,5,3,4,2]=>{{1,6},{2,7},{3},{4,5}}
[6,7,1,5,4,2,3]=>{{1,6},{2,7},{3},{4,5}}
[6,7,1,5,4,3,2]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,1,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,1,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,1,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,1,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,1,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,1,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,1,3,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,1,5,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,3,1,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,3,5,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,5,1,3]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,5,3,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,5,1,3,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,5,1,4,3]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,5,3,1,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,5,3,4,1]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,5,4,1,3]=>{{1,6},{2,7},{3},{4,5}}
[6,7,2,5,4,3,1]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,1,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,1,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,1,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,1,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,1,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,1,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,2,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,1,2,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,1,5,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,2,1,5]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,2,5,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,5,2,1]=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,5,1,2,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,5,1,4,2]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,5,2,1,4]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,5,2,4,1]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}
[6,7,3,5,4,2,1]=>{{1,6},{2,7},{3},{4,5}}
[6,7,4,1,2,3,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,1,2,5,3]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,1,3,2,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,1,3,5,2]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,1,5,2,3]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,1,5,3,2]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,1,3,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,1,5,3]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,3,1,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,3,5,1]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,5,1,3]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,2,5,3,1]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,1,2,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,1,5,2]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,2,1,5]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,2,5,1]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,3,5,2,1]=>{{1,6},{2,7},{3,4},{5}}
[6,7,4,5,1,2,3]=>{{1,6},{2,7},{3,4,5}}
[6,7,4,5,1,3,2]=>{{1,6},{2,7},{3,4,5}}
[6,7,4,5,2,1,3]=>{{1,6},{2,7},{3,4,5}}
[6,7,4,5,2,3,1]=>{{1,6},{2,7},{3,4,5}}
[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}
[6,7,4,5,3,2,1]=>{{1,6},{2,7},{3,4,5}}
[6,7,5,1,2,3,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,1,2,4,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,1,3,2,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,1,3,4,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,1,4,2,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,1,4,3,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,1,3,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,1,4,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,3,1,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,3,4,1]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,4,1,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,2,4,3,1]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,1,2,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,1,4,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,2,1,4]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,2,4,1]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,4,2,1]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,1,2,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,1,3,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,2,1,3]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,2,3,1]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}
[7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}
[7,1,2,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}
[7,1,2,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,2,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,2,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,2,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,2,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,2,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,3,2,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,3,4,2,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,4,2,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,4,5,2,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,4,5,6,2]=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,4,6,2,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,3,4,6,5,2]=>{{1,7},{2},{3},{4},{5,6}}
[7,1,3,5,2,4,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,3,5,2,6,4]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,3,5,4,2,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,3,5,4,6,2]=>{{1,7},{2},{3},{4,5},{6}}
[7,1,3,5,6,2,4]=>{{1,7},{2},{3},{4,5,6}}
[7,1,3,5,6,4,2]=>{{1,7},{2},{3},{4,5,6}}
[7,1,3,6,2,4,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,6,2,5,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,6,4,2,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,6,4,5,2]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,6,5,2,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,6,5,4,2]=>{{1,7},{2},{3},{4,6},{5}}
[7,1,4,2,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,2,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,2,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,2,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,2,6,3,5]=>{{1,7},{2},{3,4},{5,6}}
[7,1,4,2,6,5,3]=>{{1,7},{2},{3,4},{5,6}}
[7,1,4,3,2,5,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,3,2,6,5]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,3,5,2,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,3,5,6,2]=>{{1,7},{2},{3,4},{5},{6}}
[7,1,4,3,6,2,5]=>{{1,7},{2},{3,4},{5,6}}
[7,1,4,3,6,5,2]=>{{1,7},{2},{3,4},{5,6}}
[7,1,4,5,2,3,6]=>{{1,7},{2},{3,4,5},{6}}
[7,1,4,5,2,6,3]=>{{1,7},{2},{3,4,5},{6}}
[7,1,4,5,3,2,6]=>{{1,7},{2},{3,4,5},{6}}
[7,1,4,5,3,6,2]=>{{1,7},{2},{3,4,5},{6}}
[7,1,4,5,6,2,3]=>{{1,7},{2},{3,4,5,6}}
[7,1,4,5,6,3,2]=>{{1,7},{2},{3,4,5,6}}
[7,1,4,6,2,3,5]=>{{1,7},{2},{3,4,6},{5}}
[7,1,4,6,2,5,3]=>{{1,7},{2},{3,4,6},{5}}
[7,1,4,6,3,2,5]=>{{1,7},{2},{3,4,6},{5}}
[7,1,4,6,3,5,2]=>{{1,7},{2},{3,4,6},{5}}
[7,1,4,6,5,2,3]=>{{1,7},{2},{3,4,6},{5}}
[7,1,4,6,5,3,2]=>{{1,7},{2},{3,4,6},{5}}
[7,1,5,2,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,2,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,2,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,2,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,2,6,3,4]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,2,6,4,3]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,3,2,4,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,3,2,6,4]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,3,4,2,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,3,4,6,2]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,3,6,2,4]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,3,6,4,2]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,4,2,3,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,4,2,6,3]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,4,3,2,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,4,3,6,2]=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,4,6,2,3]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,4,6,3,2]=>{{1,7},{2},{3,5,6},{4}}
[7,1,5,6,2,3,4]=>{{1,7},{2},{3,5},{4,6}}
[7,1,5,6,2,4,3]=>{{1,7},{2},{3,5},{4,6}}
[7,1,5,6,3,2,4]=>{{1,7},{2},{3,5},{4,6}}
[7,1,5,6,3,4,2]=>{{1,7},{2},{3,5},{4,6}}
[7,1,5,6,4,2,3]=>{{1,7},{2},{3,5},{4,6}}
[7,1,5,6,4,3,2]=>{{1,7},{2},{3,5},{4,6}}
[7,1,6,2,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,2,4,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,2,5,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,4,2,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,4,5,2]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,5,2,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,5,4,2]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,2,3,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,2,5,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,3,2,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,3,5,2]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,5,2,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,4,5,3,2]=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,5,2,3,4]=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,2,4,3]=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,3,2,4]=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,3,4,2]=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,4,2,3]=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,4,3,2]=>{{1,7},{2},{3,6},{4,5}}
[7,2,1,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,1,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,1,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,1,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,1,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,1,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,1,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,1,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,1,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,1,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}
[7,2,1,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}
[7,2,1,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,1,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,1,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,1,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,1,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,1,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,1,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,1,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,1,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,1,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,1,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,3,1,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,3,4,1,5,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,4,1,6,5]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,4,5,1,6]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,4,6,1,5]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}
[7,2,3,5,1,4,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,3,5,1,6,4]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,3,5,4,1,6]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}
[7,2,3,5,6,1,4]=>{{1,7},{2},{3},{4,5,6}}
[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}
[7,2,3,6,1,4,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,6,1,5,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,6,4,1,5]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,6,5,1,4]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}
[7,2,4,1,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,1,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,1,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,1,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,1,6,3,5]=>{{1,7},{2},{3,4},{5,6}}
[7,2,4,1,6,5,3]=>{{1,7},{2},{3,4},{5,6}}
[7,2,4,3,1,5,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,3,1,6,5]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,3,5,1,6]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}
[7,2,4,3,6,1,5]=>{{1,7},{2},{3,4},{5,6}}
[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}
[7,2,4,5,1,3,6]=>{{1,7},{2},{3,4,5},{6}}
[7,2,4,5,1,6,3]=>{{1,7},{2},{3,4,5},{6}}
[7,2,4,5,3,1,6]=>{{1,7},{2},{3,4,5},{6}}
[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}
[7,2,4,5,6,1,3]=>{{1,7},{2},{3,4,5,6}}
[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}
[7,2,4,6,1,3,5]=>{{1,7},{2},{3,4,6},{5}}
[7,2,4,6,1,5,3]=>{{1,7},{2},{3,4,6},{5}}
[7,2,4,6,3,1,5]=>{{1,7},{2},{3,4,6},{5}}
[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,6},{5}}
[7,2,4,6,5,1,3]=>{{1,7},{2},{3,4,6},{5}}
[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}
[7,2,5,1,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,1,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,1,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,1,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,1,6,3,4]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,1,6,4,3]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,3,1,4,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,3,1,6,4]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,3,4,1,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,3,4,6,1]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,3,6,1,4]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,3,6,4,1]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,4,1,3,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,4,1,6,3]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,4,3,1,6]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,4,6,1,3]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}
[7,2,5,6,1,3,4]=>{{1,7},{2},{3,5},{4,6}}
[7,2,5,6,1,4,3]=>{{1,7},{2},{3,5},{4,6}}
[7,2,5,6,3,1,4]=>{{1,7},{2},{3,5},{4,6}}
[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}
[7,2,5,6,4,1,3]=>{{1,7},{2},{3,5},{4,6}}
[7,2,5,6,4,3,1]=>{{1,7},{2},{3,5},{4,6}}
[7,2,6,1,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,1,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,1,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,1,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,1,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,1,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,1,4,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,1,5,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,4,1,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,4,5,1]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,5,1,4]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,3,5,4,1]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,1,3,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,1,5,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,3,1,5]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,3,5,1]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,5,1,3]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}
[7,2,6,5,1,3,4]=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,5,1,4,3]=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,5,3,1,4]=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,5,3,4,1]=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,5,4,1,3]=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}
[7,3,1,2,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,2,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,2,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,2,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,2,6,4,5]=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,2,6,5,4]=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,4,2,5,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,4,2,6,5]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,4,5,2,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,4,5,6,2]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,4,6,2,5]=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,4,6,5,2]=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,5,2,4,6]=>{{1,7},{2,3},{4,5},{6}}
[7,3,1,5,2,6,4]=>{{1,7},{2,3},{4,5},{6}}
[7,3,1,5,4,2,6]=>{{1,7},{2,3},{4,5},{6}}
[7,3,1,5,4,6,2]=>{{1,7},{2,3},{4,5},{6}}
[7,3,1,5,6,2,4]=>{{1,7},{2,3},{4,5,6}}
[7,3,1,5,6,4,2]=>{{1,7},{2,3},{4,5,6}}
[7,3,1,6,2,4,5]=>{{1,7},{2,3},{4,6},{5}}
[7,3,1,6,2,5,4]=>{{1,7},{2,3},{4,6},{5}}
[7,3,1,6,4,2,5]=>{{1,7},{2,3},{4,6},{5}}
[7,3,1,6,4,5,2]=>{{1,7},{2,3},{4,6},{5}}
[7,3,1,6,5,2,4]=>{{1,7},{2,3},{4,6},{5}}
[7,3,1,6,5,4,2]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,1,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,1,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,1,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,1,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,1,6,4,5]=>{{1,7},{2,3},{4},{5,6}}
[7,3,2,1,6,5,4]=>{{1,7},{2,3},{4},{5,6}}
[7,3,2,4,1,5,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,4,1,6,5]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,4,5,1,6]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}
[7,3,2,4,6,1,5]=>{{1,7},{2,3},{4},{5,6}}
[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}
[7,3,2,5,1,4,6]=>{{1,7},{2,3},{4,5},{6}}
[7,3,2,5,1,6,4]=>{{1,7},{2,3},{4,5},{6}}
[7,3,2,5,4,1,6]=>{{1,7},{2,3},{4,5},{6}}
[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}
[7,3,2,5,6,1,4]=>{{1,7},{2,3},{4,5,6}}
[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}
[7,3,2,6,1,4,5]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,6,1,5,4]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,6,4,1,5]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,6,5,1,4]=>{{1,7},{2,3},{4,6},{5}}
[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}
[7,3,4,1,2,5,6]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,1,2,6,5]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,1,5,2,6]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,1,5,6,2]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,1,6,2,5]=>{{1,7},{2,3,4},{5,6}}
[7,3,4,1,6,5,2]=>{{1,7},{2,3,4},{5,6}}
[7,3,4,2,1,5,6]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,2,1,6,5]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,2,5,1,6]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}
[7,3,4,2,6,1,5]=>{{1,7},{2,3,4},{5,6}}
[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}
[7,3,4,5,1,2,6]=>{{1,7},{2,3,4,5},{6}}
[7,3,4,5,1,6,2]=>{{1,7},{2,3,4,5},{6}}
[7,3,4,5,2,1,6]=>{{1,7},{2,3,4,5},{6}}
[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}
[7,3,4,5,6,1,2]=>{{1,7},{2,3,4,5,6}}
[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}
[7,3,4,6,1,2,5]=>{{1,7},{2,3,4,6},{5}}
[7,3,4,6,1,5,2]=>{{1,7},{2,3,4,6},{5}}
[7,3,4,6,2,1,5]=>{{1,7},{2,3,4,6},{5}}
[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,6},{5}}
[7,3,4,6,5,1,2]=>{{1,7},{2,3,4,6},{5}}
[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}
[7,3,5,1,2,4,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,1,2,6,4]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,1,4,2,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,1,4,6,2]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,1,6,2,4]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,1,6,4,2]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,2,1,4,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,2,1,6,4]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,2,4,1,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,2,4,6,1]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,2,6,1,4]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,2,6,4,1]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,4,1,2,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,4,1,6,2]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,4,2,1,6]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}
[7,3,5,4,6,1,2]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}
[7,3,5,6,1,2,4]=>{{1,7},{2,3,5},{4,6}}
[7,3,5,6,1,4,2]=>{{1,7},{2,3,5},{4,6}}
[7,3,5,6,2,1,4]=>{{1,7},{2,3,5},{4,6}}
[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}
[7,3,5,6,4,1,2]=>{{1,7},{2,3,5},{4,6}}
[7,3,5,6,4,2,1]=>{{1,7},{2,3,5},{4,6}}
[7,3,6,1,2,4,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,1,2,5,4]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,1,4,2,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,1,4,5,2]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,1,5,2,4]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,1,5,4,2]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,1,4,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,1,5,4]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,4,1,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,4,5,1]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,5,1,4]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,2,5,4,1]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,1,2,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,1,5,2]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,2,1,5]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,2,5,1]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,5,1,2]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}
[7,3,6,5,1,2,4]=>{{1,7},{2,3,6},{4,5}}
[7,3,6,5,1,4,2]=>{{1,7},{2,3,6},{4,5}}
[7,3,6,5,2,1,4]=>{{1,7},{2,3,6},{4,5}}
[7,3,6,5,2,4,1]=>{{1,7},{2,3,6},{4,5}}
[7,3,6,5,4,1,2]=>{{1,7},{2,3,6},{4,5}}
[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}
[7,4,1,2,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,2,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,2,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,2,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,2,6,3,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,1,2,6,5,3]=>{{1,7},{2,4},{3},{5,6}}
[7,4,1,3,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,3,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,3,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,3,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,1,3,6,2,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,1,3,6,5,2]=>{{1,7},{2,4},{3},{5,6}}
[7,4,1,5,2,3,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,1,5,2,6,3]=>{{1,7},{2,4,5},{3},{6}}
[7,4,1,5,3,2,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,1,5,3,6,2]=>{{1,7},{2,4,5},{3},{6}}
[7,4,1,5,6,2,3]=>{{1,7},{2,4,5,6},{3}}
[7,4,1,5,6,3,2]=>{{1,7},{2,4,5,6},{3}}
[7,4,1,6,2,3,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,1,6,2,5,3]=>{{1,7},{2,4,6},{3},{5}}
[7,4,1,6,3,2,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,1,6,3,5,2]=>{{1,7},{2,4,6},{3},{5}}
[7,4,1,6,5,2,3]=>{{1,7},{2,4,6},{3},{5}}
[7,4,1,6,5,3,2]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,1,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,1,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,1,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,1,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,1,6,3,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,2,1,6,5,3]=>{{1,7},{2,4},{3},{5,6}}
[7,4,2,3,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,3,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,3,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,3,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,2,3,6,1,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,2,3,6,5,1]=>{{1,7},{2,4},{3},{5,6}}
[7,4,2,5,1,3,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,2,5,1,6,3]=>{{1,7},{2,4,5},{3},{6}}
[7,4,2,5,3,1,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,2,5,3,6,1]=>{{1,7},{2,4,5},{3},{6}}
[7,4,2,5,6,1,3]=>{{1,7},{2,4,5,6},{3}}
[7,4,2,5,6,3,1]=>{{1,7},{2,4,5,6},{3}}
[7,4,2,6,1,3,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,6,1,5,3]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,6,3,1,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,6,3,5,1]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,6,5,1,3]=>{{1,7},{2,4,6},{3},{5}}
[7,4,2,6,5,3,1]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,1,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,1,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,1,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,1,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,1,6,2,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,3,1,6,5,2]=>{{1,7},{2,4},{3},{5,6}}
[7,4,3,2,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,2,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,2,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}
[7,4,3,2,6,1,5]=>{{1,7},{2,4},{3},{5,6}}
[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}
[7,4,3,5,1,2,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,3,5,1,6,2]=>{{1,7},{2,4,5},{3},{6}}
[7,4,3,5,2,1,6]=>{{1,7},{2,4,5},{3},{6}}
[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}
[7,4,3,5,6,1,2]=>{{1,7},{2,4,5,6},{3}}
[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}
[7,4,3,6,1,2,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,6,1,5,2]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,6,2,1,5]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,6,2,5,1]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,6,5,1,2]=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}
[7,4,5,1,2,3,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,1,2,6,3]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,1,3,2,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,1,3,6,2]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,1,6,2,3]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,1,6,3,2]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,2,1,3,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,2,1,6,3]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,2,3,1,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,2,6,1,3]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,3,1,2,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,3,1,6,2]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,3,2,1,6]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,3,2,6,1]=>{{1,7},{2,4},{3,5},{6}}
[7,4,5,3,6,1,2]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,3,6,2,1]=>{{1,7},{2,4},{3,5,6}}
[7,4,5,6,1,2,3]=>{{1,7},{2,4,6},{3,5}}
[7,4,5,6,1,3,2]=>{{1,7},{2,4,6},{3,5}}
[7,4,5,6,2,1,3]=>{{1,7},{2,4,6},{3,5}}
[7,4,5,6,2,3,1]=>{{1,7},{2,4,6},{3,5}}
[7,4,5,6,3,1,2]=>{{1,7},{2,4,6},{3,5}}
[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}
[7,4,6,1,2,3,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,1,2,5,3]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,1,3,2,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,1,3,5,2]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,1,5,2,3]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,1,5,3,2]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,1,3,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,1,5,3]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,3,1,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,5,1,3]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,1,2,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,1,5,2]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,2,1,5]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,2,5,1]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,5,1,2]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,3,5,2,1]=>{{1,7},{2,4},{3,6},{5}}
[7,4,6,5,1,2,3]=>{{1,7},{2,4,5},{3,6}}
[7,4,6,5,1,3,2]=>{{1,7},{2,4,5},{3,6}}
[7,4,6,5,2,1,3]=>{{1,7},{2,4,5},{3,6}}
[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}
[7,4,6,5,3,1,2]=>{{1,7},{2,4,5},{3,6}}
[7,4,6,5,3,2,1]=>{{1,7},{2,4,5},{3,6}}
[7,5,1,2,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,2,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,2,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,2,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,2,6,3,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,2,6,4,3]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,3,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,3,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,3,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,3,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,3,6,2,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,3,6,4,2]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,4,2,3,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,4,2,6,3]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,4,3,2,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,4,3,6,2]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,1,4,6,2,3]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,4,6,3,2]=>{{1,7},{2,5,6},{3},{4}}
[7,5,1,6,2,3,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,1,6,2,4,3]=>{{1,7},{2,5},{3},{4,6}}
[7,5,1,6,3,2,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,1,6,3,4,2]=>{{1,7},{2,5},{3},{4,6}}
[7,5,1,6,4,2,3]=>{{1,7},{2,5},{3},{4,6}}
[7,5,1,6,4,3,2]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,1,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,1,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,1,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,1,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,1,6,3,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,1,6,4,3]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,3,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,3,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,3,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,3,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,3,6,1,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,3,6,4,1]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,4,1,3,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,4,1,6,3]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,4,3,1,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,4,3,6,1]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,2,4,6,1,3]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,4,6,3,1]=>{{1,7},{2,5,6},{3},{4}}
[7,5,2,6,1,3,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,6,1,4,3]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,6,3,1,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,6,3,4,1]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,6,4,1,3]=>{{1,7},{2,5},{3},{4,6}}
[7,5,2,6,4,3,1]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,1,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,1,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,1,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,1,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,1,6,2,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,1,6,4,2]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,2,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,2,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,2,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,2,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,2,6,1,4]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,2,6,4,1]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,4,1,2,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,4,1,6,2]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,4,2,1,6]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}
[7,5,3,4,6,1,2]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}
[7,5,3,6,1,2,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,6,1,4,2]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,6,2,1,4]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,6,4,1,2]=>{{1,7},{2,5},{3},{4,6}}
[7,5,3,6,4,2,1]=>{{1,7},{2,5},{3},{4,6}}
[7,5,4,1,2,3,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,1,2,6,3]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,1,3,2,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,1,3,6,2]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,1,6,2,3]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,1,6,3,2]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,2,1,3,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,2,1,6,3]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,2,3,1,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,2,3,6,1]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,2,6,1,3]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,2,6,3,1]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,3,1,2,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,3,1,6,2]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,3,2,1,6]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}
[7,5,4,3,6,1,2]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}
[7,5,4,6,1,2,3]=>{{1,7},{2,5},{3,4,6}}
[7,5,4,6,1,3,2]=>{{1,7},{2,5},{3,4,6}}
[7,5,4,6,2,1,3]=>{{1,7},{2,5},{3,4,6}}
[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}
[7,5,4,6,3,1,2]=>{{1,7},{2,5},{3,4,6}}
[7,5,4,6,3,2,1]=>{{1,7},{2,5},{3,4,6}}
[7,5,6,1,2,3,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,1,2,4,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,1,3,2,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,1,3,4,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,1,4,2,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,1,4,3,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,1,3,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,1,4,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,3,1,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,3,4,1]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,4,1,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,2,4,3,1]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,1,2,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,1,4,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,2,1,4]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,4,1,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,4,2,1]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,1,2,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,1,3,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,2,1,3]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,3,1,2]=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,3,2,1]=>{{1,7},{2,5},{3,6},{4}}
[7,6,1,2,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,2,3,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,2,5,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,3,2,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,3,5,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,5,2,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,5,3,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,5,2,3,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,2,4,3]=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,3,2,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,3,4,2]=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,4,2,3]=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,4,3,2]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,1,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,1,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,1,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,1,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,1,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,1,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,3,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,1,3,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,1,5,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,3,1,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,3,5,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,5,1,3]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,5,3,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,5,1,3,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,5,1,4,3]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,5,3,1,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,5,3,4,1]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,5,4,1,3]=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,5,4,3,1]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,1,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,1,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,1,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,1,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,1,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,1,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,2,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,1,2,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,1,5,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,2,1,5]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,2,5,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,5,1,2]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,5,1,2,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,5,1,4,2]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,5,2,1,4]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,5,2,4,1]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,5,4,1,2]=>{{1,7},{2,6},{3},{4,5}}
[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}
[7,6,4,1,2,3,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,1,2,5,3]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,1,3,2,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,1,3,5,2]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,1,5,2,3]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,1,5,3,2]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,1,3,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,1,5,3]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,3,1,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,3,5,1]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,5,1,3]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,2,5,3,1]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,1,2,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,1,5,2]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,2,1,5]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,2,5,1]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,5,1,2]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}
[7,6,4,5,1,2,3]=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,1,3,2]=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,2,1,3]=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,2,3,1]=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,3,1,2]=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}
[7,6,5,1,2,3,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,2,4,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,3,2,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,3,4,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,4,2,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,4,3,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,1,3,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,1,4,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,3,1,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,3,4,1]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,4,1,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,4,3,1]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,1,2,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,1,4,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,2,1,4]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,2,4,1]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,4,1,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,1,2,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,1,3,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,2,1,3]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,2,3,1]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,3,1,2]=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}
[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,3,2,1]=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,6,7,8,3,2,1]=>{{1,4,7},{2,5,8},{3,6}}
[8,7,6,5,3,4,2,1]=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}
[5,6,7,8,3,4,2,1]=>{{1,5},{2,6},{3,7},{4,8}}
[6,4,5,7,3,8,2,1]=>{{1,6,8},{2,4,7},{3,5}}
[5,4,6,7,3,8,2,1]=>{{1,5},{2,4,7},{3,6,8}}
[4,5,6,7,3,8,2,1]=>{{1,4,7},{2,5},{3,6,8}}
[8,7,6,5,4,2,3,1]=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}
[5,6,7,8,4,2,3,1]=>{{1,5},{2,6},{3,7},{4,8}}
[8,6,7,4,5,2,3,1]=>{{1,8},{2,6},{3,7},{4},{5}}
[4,5,6,7,8,2,3,1]=>{{1,4,7},{2,5,8},{3,6}}
[8,7,6,5,3,2,4,1]=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}
[5,6,7,8,3,2,4,1]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,5,2,3,4,1]=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}
[5,6,7,8,2,3,4,1]=>{{1,5},{2,6},{3,7},{4,8}}
[6,4,5,7,3,2,8,1]=>{{1,6},{2,4,7,8},{3,5}}
[4,5,6,7,3,2,8,1]=>{{1,4,7,8},{2,5},{3,6}}
[5,4,6,3,7,2,8,1]=>{{1,5,7,8},{2,4},{3,6}}
[6,5,3,4,7,2,8,1]=>{{1,6},{2,5,7,8},{3},{4}}
[6,7,4,5,2,3,8,1]=>{{1,6},{2,7,8},{3,4,5}}
[6,4,5,7,2,3,8,1]=>{{1,6},{2,4,7,8},{3,5}}
[4,5,6,7,2,3,8,1]=>{{1,4,7,8},{2,5},{3,6}}
[7,6,5,2,3,4,8,1]=>{{1,7,8},{2,6},{3,5},{4}}
[5,4,3,2,6,7,8,1]=>{{1,5,6,7,8},{2,4},{3}}
[8,7,6,5,4,3,1,2]=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}
[5,6,7,8,4,3,1,2]=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,6,7,8,3,1,2]=>{{1,4,7},{2,5,8},{3,6}}
[8,7,6,5,3,4,1,2]=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}
[6,7,5,8,3,4,1,2]=>{{1,6},{2,7},{3,5},{4,8}}
[7,5,6,8,3,4,1,2]=>{{1,7},{2,5},{3,6},{4,8}}
[6,5,7,8,3,4,1,2]=>{{1,6},{2,5},{3,7},{4,8}}
[5,6,7,8,3,4,1,2]=>{{1,5},{2,6},{3,7},{4,8}}
[7,8,4,5,3,6,1,2]=>{{1,7},{2,8},{3,4,5},{6}}
[7,8,5,3,4,6,1,2]=>{{1,7},{2,8},{3,5},{4},{6}}
[7,8,4,3,5,6,1,2]=>{{1,7},{2,8},{3,4},{5},{6}}
[6,7,4,5,3,8,1,2]=>{{1,6,8},{2,7},{3,4,5}}
[5,4,6,7,3,8,1,2]=>{{1,5},{2,4,7},{3,6,8}}
[4,5,6,7,3,8,1,2]=>{{1,4,7},{2,5},{3,6,8}}
[5,4,6,3,7,8,1,2]=>{{1,5,7},{2,4},{3,6,8}}
[6,4,3,5,7,8,1,2]=>{{1,6,8},{2,4,5,7},{3}}
[5,4,3,6,7,8,1,2]=>{{1,5,7},{2,4,6,8},{3}}
[8,7,6,5,4,2,1,3]=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}
[5,6,7,8,4,2,1,3]=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,6,7,8,2,1,3]=>{{1,4,7},{2,5,8},{3,6}}
[8,7,6,5,4,1,2,3]=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}
[6,5,7,8,4,1,2,3]=>{{1,6},{2,5},{3,7},{4,8}}
[5,6,7,8,4,1,2,3]=>{{1,5},{2,6},{3,7},{4,8}}
[6,5,4,7,8,1,2,3]=>{{1,6},{2,5,8},{3,4,7}}
[4,5,6,7,8,1,2,3]=>{{1,4,7},{2,5,8},{3,6}}
[8,7,6,5,3,2,1,4]=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}
[5,6,7,8,3,2,1,4]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,5,2,3,1,4]=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,3,1,4]=>{{1,7},{2,8},{3,5},{4,6}}
[6,7,5,8,2,3,1,4]=>{{1,6},{2,7},{3,5},{4,8}}
[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}
[5,6,7,8,2,3,1,4]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,5,3,1,2,4]=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,1,2,4]=>{{1,7},{2,8},{3,5},{4,6}}
[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}
[7,5,6,8,3,1,2,4]=>{{1,7},{2,5},{3,6},{4,8}}
[5,6,7,8,3,1,2,4]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,5,2,1,3,4]=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,2,1,3,4]=>{{1,6},{2,7},{3,8},{4,5}}
[7,8,5,6,2,1,3,4]=>{{1,7},{2,8},{3,5},{4,6}}
[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}
[5,6,7,8,2,1,3,4]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,5,1,2,3,4]=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,1,2,3,4]=>{{1,7},{2,8},{3,6},{4,5}}
[8,6,7,5,1,2,3,4]=>{{1,8},{2,6},{3,7},{4,5}}
[7,6,8,5,1,2,3,4]=>{{1,7},{2,6},{3,8},{4,5}}
[6,7,8,5,1,2,3,4]=>{{1,6},{2,7},{3,8},{4,5}}
[8,7,5,6,1,2,3,4]=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,5,6,1,2,3,4]=>{{1,7},{2,8},{3,5},{4,6}}
[8,6,5,7,1,2,3,4]=>{{1,8},{2,6},{3,5},{4,7}}
[8,5,6,7,1,2,3,4]=>{{1,8},{2,5},{3,6},{4,7}}
[7,6,5,8,1,2,3,4]=>{{1,7},{2,6},{3,5},{4,8}}
[6,7,5,8,1,2,3,4]=>{{1,6},{2,7},{3,5},{4,8}}
[7,5,6,8,1,2,3,4]=>{{1,7},{2,5},{3,6},{4,8}}
[6,5,7,8,1,2,3,4]=>{{1,6},{2,5},{3,7},{4,8}}
[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,4,3,2,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,4,3,2,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,4,2,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,3,4,2,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,2,3,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,4,2,3,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,2,4,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,3,2,4,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,2,3,4,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,2,3,4,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,3,1,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,4,3,1,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,4,1,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,3,4,1,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,2,1,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,4,2,1,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,1,2,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,4,1,2,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,2,1,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,3,2,1,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,2,3,1,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,2,3,1,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,1,2,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,3,1,2,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,2,1,3,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,2,1,3,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,1,2,3,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,6,1,2,3,4,5]=>{{1,7},{2,8},{3,6},{4},{5}}
[8,6,7,1,2,3,4,5]=>{{1,8},{2,6},{3,7},{4},{5}}
[7,6,8,1,2,3,4,5]=>{{1,7},{2,6},{3,8},{4},{5}}
[6,7,8,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[7,8,4,5,2,3,1,6]=>{{1,7},{2,8},{3,4,5},{6}}
[8,7,5,2,1,3,4,6]=>{{1,8},{2,7},{3,5},{4},{6}}
[7,8,5,2,1,3,4,6]=>{{1,7},{2,8},{3,5},{4},{6}}
[8,7,5,1,2,3,4,6]=>{{1,8},{2,7},{3,5},{4},{6}}
[7,8,5,1,2,3,4,6]=>{{1,7},{2,8},{3,5},{4},{6}}
[8,7,4,3,2,1,5,6]=>{{1,8},{2,7},{3,4},{5},{6}}
[7,8,4,3,2,1,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}
[7,8,3,2,4,1,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,4,2,1,3,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}
[7,8,3,2,1,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,4,5,6,3,2,1,7]=>{{1,8},{2,4,6},{3,5},{7}}
[8,5,6,3,4,1,2,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[8,4,3,5,6,1,2,7]=>{{1,8},{2,4,5,6},{3},{7}}
[8,6,5,2,3,1,4,7]=>{{1,8},{2,6},{3,5},{4},{7}}
[8,5,6,2,3,1,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[8,5,6,2,1,3,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[8,6,5,1,2,3,4,7]=>{{1,8},{2,6},{3,5},{4},{7}}
[8,5,6,1,2,3,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[8,6,4,3,2,1,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}
[8,6,3,4,2,1,5,7]=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,6,4,2,1,3,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}
[8,4,3,2,1,5,6,7]=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,3,2,1,4,5,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}
[5,6,7,4,3,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[7,4,5,6,3,2,1,8]=>{{1,7},{2,4,6},{3,5},{8}}
[4,5,6,7,3,2,1,8]=>{{1,4,7},{2,5},{3,6},{8}}
[5,6,7,3,4,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[5,6,7,4,2,3,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[6,7,4,5,2,3,1,8]=>{{1,6},{2,7},{3,4,5},{8}}
[7,4,5,6,2,3,1,8]=>{{1,7},{2,4,6},{3,5},{8}}
[4,5,6,7,2,3,1,8]=>{{1,4,7},{2,5},{3,6},{8}}
[5,6,7,3,2,4,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[7,6,5,2,3,4,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,2,3,4,1,8]=>{{1,6},{2,7},{3,5},{4},{8}}
[7,5,6,2,3,4,1,8]=>{{1,7},{2,5},{3,6},{4},{8}}
[6,5,7,2,3,4,1,8]=>{{1,6},{2,5},{3,7},{4},{8}}
[5,6,7,2,3,4,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[5,4,3,2,6,7,1,8]=>{{1,5,6,7},{2,4},{3},{8}}
[7,4,5,6,3,1,2,8]=>{{1,7},{2,4,6},{3,5},{8}}
[4,5,6,7,3,1,2,8]=>{{1,4,7},{2,5},{3,6},{8}}
[7,4,5,6,2,1,3,8]=>{{1,7},{2,4,6},{3,5},{8}}
[4,5,6,7,2,1,3,8]=>{{1,4,7},{2,5},{3,6},{8}}
[5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[7,4,5,6,1,2,3,8]=>{{1,7},{2,4,6},{3,5},{8}}
[5,6,4,7,1,2,3,8]=>{{1,5},{2,6},{3,4,7},{8}}
[5,4,6,7,1,2,3,8]=>{{1,5},{2,4,7},{3,6},{8}}
[4,5,6,7,1,2,3,8]=>{{1,4,7},{2,5},{3,6},{8}}
[5,6,7,3,1,2,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[5,6,7,2,1,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[7,6,5,1,2,3,4,8]=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,1,2,3,4,8]=>{{1,6},{2,7},{3,5},{4},{8}}
[7,5,6,1,2,3,4,8]=>{{1,7},{2,5},{3,6},{4},{8}}
[6,5,7,1,2,3,4,8]=>{{1,6},{2,5},{3,7},{4},{8}}
[5,6,7,1,2,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[7,6,4,3,2,1,5,8]=>{{1,7},{2,6},{3,4},{5},{8}}
[7,5,3,1,2,4,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}
[7,4,3,2,1,5,6,8]=>{{1,7},{2,4},{3},{5},{6},{8}}
[5,4,3,2,6,1,7,8]=>{{1,5,6},{2,4},{3},{7},{8}}
[4,5,3,2,6,1,7,8]=>{{1,4},{2,5,6},{3},{7},{8}}
[5,6,4,3,1,2,7,8]=>{{1,5},{2,6},{3,4},{7},{8}}
[5,4,6,3,1,2,7,8]=>{{1,5},{2,4},{3,6},{7},{8}}
[5,6,3,4,1,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}
[5,4,3,6,1,2,7,8]=>{{1,5},{2,4,6},{3},{7},{8}}
[5,6,4,2,1,3,7,8]=>{{1,5},{2,6},{3,4},{7},{8}}
[5,4,6,2,1,3,7,8]=>{{1,5},{2,4},{3,6},{7},{8}}
[5,6,3,2,1,4,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}
[6,4,3,2,1,5,7,8]=>{{1,6},{2,4},{3},{5},{7},{8}}
[6,4,3,1,2,5,7,8]=>{{1,6},{2,4},{3},{5},{7},{8}}
[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}
[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}
[3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}
[2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}}
[4,1,2,3,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}
[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,8,7,6,4,3,2,1]=>{{1,5},{2,8},{3,7},{4,6}}
[4,8,7,6,5,3,2,1]=>{{1,4,6},{2,8},{3,7},{5}}
[3,5,6,8,7,4,2,1]=>{{1,3,6},{2,5,7},{4,8}}
[3,5,6,7,8,4,2,1]=>{{1,3,6},{2,5,8},{4,7}}
[3,4,8,7,6,5,2,1]=>{{1,3,8},{2,4,7},{5,6}}
[2,5,6,7,8,4,3,1]=>{{1,2,5,8},{3,6},{4,7}}
[2,4,8,7,6,5,3,1]=>{{1,2,4,7},{3,8},{5,6}}
[2,7,6,5,4,8,3,1]=>{{1,2,7},{3,6,8},{4,5}}
[2,3,5,6,7,8,4,1]=>{{1,2,3,5,7},{4,6,8}}
[4,3,2,8,7,6,5,1]=>{{1,4,8},{2,3},{5,7},{6}}
[3,4,2,8,7,6,5,1]=>{{1,3},{2,4,8},{5,7},{6}}
[2,4,3,8,7,6,5,1]=>{{1,2,4,8},{3},{5,7},{6}}
[3,2,4,8,7,6,5,1]=>{{1,3,4,8},{2},{5,7},{6}}
[2,3,4,8,7,6,5,1]=>{{1,2,3,4,8},{5,7},{6}}
[5,4,3,2,8,7,6,1]=>{{1,5,8},{2,4},{3},{6,7}}
[5,4,3,2,7,8,6,1]=>{{1,5,7},{2,4},{3},{6,8}}
[2,5,4,3,8,7,6,1]=>{{1,2,5,8},{3,4},{6,7}}
[2,5,4,3,7,8,6,1]=>{{1,2,5,7},{3,4},{6,8}}
[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}}
[5,4,3,2,6,8,7,1]=>{{1,5,6,8},{2,4},{3},{7}}
[2,5,4,3,6,8,7,1]=>{{1,2,5,6,8},{3,4},{7}}
[4,3,2,7,6,5,8,1]=>{{1,4,7,8},{2,3},{5,6}}
[3,4,2,7,6,5,8,1]=>{{1,3},{2,4,7,8},{5,6}}
[2,4,3,7,6,5,8,1]=>{{1,2,4,7,8},{3},{5,6}}
[3,2,4,7,6,5,8,1]=>{{1,3,4,7,8},{2},{5,6}}
[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}
[5,4,3,2,7,6,8,1]=>{{1,5,7,8},{2,4},{3},{6}}
[2,5,4,3,7,6,8,1]=>{{1,2,5,7,8},{3,4},{6}}
[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}
[1,6,7,8,5,4,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[1,7,6,5,8,4,3,2]=>{{1},{2,7},{3,6},{4,5,8}}
[1,5,6,7,8,4,3,2]=>{{1},{2,5,8},{3,6},{4,7}}
[1,4,8,7,6,5,3,2]=>{{1},{2,4,7},{3,8},{5,6}}
[1,3,5,7,8,6,4,2]=>{{1},{2,3,5,8},{4,7},{6}}
[1,3,6,5,7,8,4,2]=>{{1},{2,3,6,8},{4,5,7}}
[1,3,5,6,7,8,4,2]=>{{1},{2,3,5,7},{4,6,8}}
[1,4,3,8,7,6,5,2]=>{{1},{2,4,8},{3},{5,7},{6}}
[1,4,3,7,8,6,5,2]=>{{1},{2,4,7},{3},{5,8},{6}}
[1,4,3,7,6,8,5,2]=>{{1},{2,4,7},{3},{5,6,8}}
[1,3,4,8,7,6,5,2]=>{{1},{2,3,4,8},{5,7},{6}}
[1,3,4,7,6,8,5,2]=>{{1},{2,3,4,7},{5,6,8}}
[1,5,6,4,3,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}
[1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}}
[1,5,4,3,6,7,8,2]=>{{1},{2,5,6,7,8},{3,4}}
[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,6,7,8,5,4,3]=>{{1,2},{3,6},{4,7},{5,8}}
[2,1,7,6,5,8,4,3]=>{{1,2},{3,7},{4,6,8},{5}}
[2,1,6,7,5,8,4,3]=>{{1,2},{3,6,8},{4,7},{5}}
[2,1,5,6,7,8,4,3]=>{{1,2},{3,5,7},{4,6,8}}
[2,1,4,8,7,6,5,3]=>{{1,2},{3,4,8},{5,7},{6}}
[2,1,4,7,8,6,5,3]=>{{1,2},{3,4,7},{5,8},{6}}
[2,1,4,5,8,7,6,3]=>{{1,2},{3,4,5,8},{6,7}}
[2,1,4,6,5,8,7,3]=>{{1,2},{3,4,6,8},{5},{7}}
[1,2,5,6,7,8,4,3]=>{{1},{2},{3,5,7},{4,6,8}}
[1,2,4,8,7,6,5,3]=>{{1},{2},{3,4,8},{5,7},{6}}
[1,2,4,7,8,6,5,3]=>{{1},{2},{3,4,7},{5,8},{6}}
[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,7,8,6,5,4]=>{{1,3},{2},{4,7},{5,8},{6}}
[3,2,1,6,8,7,5,4]=>{{1,3},{2},{4,6,7},{5,8}}
[3,2,1,7,6,8,5,4]=>{{1,3},{2},{4,7},{5,6,8}}
[3,2,1,6,7,8,5,4]=>{{1,3},{2},{4,6,8},{5,7}}
[3,2,1,5,8,7,6,4]=>{{1,3},{2},{4,5,8},{6,7}}
[3,2,1,5,7,8,6,4]=>{{1,3},{2},{4,5,7},{6,8}}
[3,2,1,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}
[3,2,1,5,6,8,7,4]=>{{1,3},{2},{4,5,6,8},{7}}
[3,2,1,7,6,5,8,4]=>{{1,3},{2},{4,7,8},{5,6}}
[3,2,1,6,7,5,8,4]=>{{1,3},{2},{4,6},{5,7,8}}
[3,2,1,5,7,6,8,4]=>{{1,3},{2},{4,5,7,8},{6}}
[3,2,1,6,5,7,8,4]=>{{1,3},{2},{4,6,7,8},{5}}
[3,2,1,5,6,7,8,4]=>{{1,3},{2},{4,5,6,7,8}}
[2,3,1,8,7,6,5,4]=>{{1,2,3},{4,8},{5,7},{6}}
[1,3,2,8,7,6,5,4]=>{{1},{2,3},{4,8},{5,7},{6}}
[2,1,3,8,7,6,5,4]=>{{1,2},{3},{4,8},{5,7},{6}}
[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,7,8,6,5,4]=>{{1},{2},{3},{4,7},{5,8},{6}}
[1,2,3,6,8,7,5,4]=>{{1},{2},{3},{4,6,7},{5,8}}
[1,2,3,7,6,8,5,4]=>{{1},{2},{3},{4,7},{5,6,8}}
[1,2,3,6,7,8,5,4]=>{{1},{2},{3},{4,6,8},{5,7}}
[1,2,3,5,8,7,6,4]=>{{1},{2},{3},{4,5,8},{6,7}}
[1,2,3,5,7,8,6,4]=>{{1},{2},{3},{4,5,7},{6,8}}
[1,2,3,6,5,8,7,4]=>{{1},{2},{3},{4,6,8},{5},{7}}
[1,2,3,5,6,8,7,4]=>{{1},{2},{3},{4,5,6,8},{7}}
[1,2,3,7,6,5,8,4]=>{{1},{2},{3},{4,7,8},{5,6}}
[1,2,3,6,7,5,8,4]=>{{1},{2},{3},{4,6},{5,7,8}}
[1,2,3,5,7,6,8,4]=>{{1},{2},{3},{4,5,7,8},{6}}
[1,2,3,6,5,7,8,4]=>{{1},{2},{3},{4,6,7,8},{5}}
[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}
[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}
[4,3,2,1,7,8,6,5]=>{{1,4},{2,3},{5,7},{6,8}}
[4,3,2,1,6,8,7,5]=>{{1,4},{2,3},{5,6,8},{7}}
[4,3,2,1,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}}
[4,3,2,1,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}
[3,4,2,1,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}
[3,4,2,1,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}
[3,4,2,1,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}
[3,4,2,1,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}
[2,4,3,1,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}}
[2,4,3,1,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}
[2,4,3,1,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}}
[2,4,3,1,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}
[3,2,4,1,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}
[3,2,4,1,7,8,6,5]=>{{1,3,4},{2},{5,7},{6,8}}
[3,2,4,1,6,8,7,5]=>{{1,3,4},{2},{5,6,8},{7}}
[3,2,4,1,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}
[3,2,4,1,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}
[2,3,4,1,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}}
[2,3,4,1,7,8,6,5]=>{{1,2,3,4},{5,7},{6,8}}
[2,3,4,1,6,8,7,5]=>{{1,2,3,4},{5,6,8},{7}}
[2,3,4,1,7,6,8,5]=>{{1,2,3,4},{5,7,8},{6}}
[2,3,4,1,6,7,8,5]=>{{1,2,3,4},{5,6,7,8}}
[1,4,3,2,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}}
[1,4,3,2,7,6,8,5]=>{{1},{2,4},{3},{5,7,8},{6}}
[1,4,3,2,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}
[1,3,4,2,8,7,6,5]=>{{1},{2,3,4},{5,8},{6,7}}
[1,3,4,2,7,6,8,5]=>{{1},{2,3,4},{5,7,8},{6}}
[1,3,4,2,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}}
[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}
[2,1,4,3,7,8,6,5]=>{{1,2},{3,4},{5,7},{6,8}}
[2,1,4,3,6,8,7,5]=>{{1,2},{3,4},{5,6,8},{7}}
[2,1,4,3,7,6,8,5]=>{{1,2},{3,4},{5,7,8},{6}}
[2,1,4,3,6,7,8,5]=>{{1,2},{3,4},{5,6,7,8}}
[1,2,4,3,8,7,6,5]=>{{1},{2},{3,4},{5,8},{6,7}}
[1,2,4,3,7,6,8,5]=>{{1},{2},{3,4},{5,7,8},{6}}
[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}}
[3,2,1,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}
[3,2,1,4,7,8,6,5]=>{{1,3},{2},{4},{5,7},{6,8}}
[3,2,1,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}
[3,2,1,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}
[2,3,1,4,8,7,6,5]=>{{1,2,3},{4},{5,8},{6,7}}
[2,3,1,4,7,6,8,5]=>{{1,2,3},{4},{5,7,8},{6}}
[2,3,1,4,6,7,8,5]=>{{1,2,3},{4},{5,6,7,8}}
[1,3,2,4,8,7,6,5]=>{{1},{2,3},{4},{5,8},{6,7}}
[1,3,2,4,7,6,8,5]=>{{1},{2,3},{4},{5,7,8},{6}}
[1,3,2,4,6,7,8,5]=>{{1},{2,3},{4},{5,6,7,8}}
[2,1,3,4,8,7,6,5]=>{{1,2},{3},{4},{5,8},{6,7}}
[2,1,3,4,7,6,8,5]=>{{1,2},{3},{4},{5,7,8},{6}}
[2,1,3,4,6,7,8,5]=>{{1,2},{3},{4},{5,6,7,8}}
[1,2,3,4,8,7,6,5]=>{{1},{2},{3},{4},{5,8},{6,7}}
[1,2,3,4,7,6,8,5]=>{{1},{2},{3},{4},{5,7,8},{6}}
[1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}
[5,4,3,2,1,7,8,6]=>{{1,5},{2,4},{3},{6,7,8}}
[4,5,3,2,1,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}
[3,5,4,2,1,8,7,6]=>{{1,3,4},{2,5},{6,8},{7}}
[4,3,5,2,1,8,7,6]=>{{1,4},{2,3,5},{6,8},{7}}
[3,4,5,2,1,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}
[2,5,4,3,1,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}}
[2,4,5,3,1,8,7,6]=>{{1,2,4},{3,5},{6,8},{7}}
[3,2,5,4,1,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}}
[2,3,5,4,1,8,7,6]=>{{1,2,3,5},{4},{6,8},{7}}
[4,3,2,5,1,8,7,6]=>{{1,4,5},{2,3},{6,8},{7}}
[3,4,2,5,1,8,7,6]=>{{1,3},{2,4,5},{6,8},{7}}
[2,4,3,5,1,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}}
[3,2,4,5,1,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}}
[2,3,4,5,1,8,7,6]=>{{1,2,3,4,5},{6,8},{7}}
[4,3,2,1,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}
[4,3,2,1,5,7,8,6]=>{{1,4},{2,3},{5},{6,7,8}}
[3,2,4,1,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}}
[3,2,4,1,5,7,8,6]=>{{1,3,4},{2},{5},{6,7,8}}
[2,3,4,1,5,8,7,6]=>{{1,2,3,4},{5},{6,8},{7}}
[2,3,4,1,5,7,8,6]=>{{1,2,3,4},{5},{6,7,8}}
[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,6,3,2,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[5,4,3,6,2,1,8,7]=>{{1,5},{2,4,6},{3},{7,8}}
[4,5,3,6,2,1,8,7]=>{{1,4,6},{2,5},{3},{7,8}}
[2,3,6,5,4,1,8,7]=>{{1,2,3,6},{4,5},{7,8}}
[2,4,3,6,5,1,8,7]=>{{1,2,4,6},{3},{5},{7,8}}
[5,4,3,2,6,1,8,7]=>{{1,5,6},{2,4},{3},{7,8}}
[4,5,3,2,6,1,8,7]=>{{1,4},{2,5,6},{3},{7,8}}
[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,5,6,4,3,8,7]=>{{1,2},{3,5},{4,6},{7,8}}
[2,1,4,6,5,3,8,7]=>{{1,2},{3,4,6},{5},{7,8}}
[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}
[3,4,2,1,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}
[2,4,3,1,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}
[3,2,4,1,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}
[2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}}
[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}
[5,4,3,2,1,6,8,7]=>{{1,5},{2,4},{3},{6},{7,8}}
[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}}
[4,3,2,1,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}}
[3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}}
[2,3,4,1,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}}
[4,7,6,5,3,2,1,8]=>{{1,4,5},{2,7},{3,6},{8}}
[3,2,6,7,5,4,1,8]=>{{1,3,6},{2},{4,7},{5},{8}}
[5,4,3,2,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}
[4,5,3,2,7,6,1,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[3,5,4,2,7,6,1,8]=>{{1,3,4},{2,5,7},{6},{8}}
[3,2,5,4,7,6,1,8]=>{{1,3,5,7},{2},{4},{6},{8}}
[3,5,4,2,6,7,1,8]=>{{1,3,4},{2,5,6,7},{8}}
[4,3,2,1,7,6,5,8]=>{{1,4},{2,3},{5,7},{6},{8}}
[4,3,2,1,6,7,5,8]=>{{1,4},{2,3},{5,6,7},{8}}
[3,2,4,1,7,6,5,8]=>{{1,3,4},{2},{5,7},{6},{8}}
[3,2,4,1,6,7,5,8]=>{{1,3,4},{2},{5,6,7},{8}}
[2,3,4,1,7,6,5,8]=>{{1,2,3,4},{5,7},{6},{8}}
[2,3,4,1,6,7,5,8]=>{{1,2,3,4},{5,6,7},{8}}
[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}
[5,4,3,2,1,7,6,8]=>{{1,5},{2,4},{3},{6,7},{8}}
[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}
[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}
[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}
[4,3,2,1,5,7,6,8]=>{{1,4},{2,3},{5},{6,7},{8}}
[3,2,4,1,5,7,6,8]=>{{1,3,4},{2},{5},{6,7},{8}}
[2,3,4,1,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}}
[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}
[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}
[4,3,2,1,6,5,7,8]=>{{1,4},{2,3},{5,6},{7},{8}}
[3,2,4,1,6,5,7,8]=>{{1,3,4},{2},{5,6},{7},{8}}
[2,3,4,1,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}}
[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}
[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}
[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}
[1,2,3,5,8,6,7,4]=>{{1},{2},{3},{4,5,8},{6},{7}}
[1,2,3,7,5,6,8,4]=>{{1},{2},{3},{4,7,8},{5},{6}}
[1,2,3,8,5,6,7,4]=>{{1},{2},{3},{4,8},{5},{6},{7}}
[1,2,3,8,5,7,6,4]=>{{1},{2},{3},{4,8},{5},{6,7}}
[1,2,3,8,6,5,7,4]=>{{1},{2},{3},{4,8},{5,6},{7}}
[1,2,3,8,6,7,5,4]=>{{1},{2},{3},{4,8},{5,6,7}}
[1,2,8,5,4,6,7,3]=>{{1},{2},{3,8},{4,5},{6},{7}}
[1,3,8,5,6,7,4,2]=>{{1},{2,3,8},{4,5,6,7}}
[1,3,8,6,5,7,4,2]=>{{1},{2,3,8},{4,6,7},{5}}
[1,7,5,4,3,6,8,2]=>{{1},{2,7,8},{3,5},{4},{6}}
[1,8,5,4,3,6,7,2]=>{{1},{2,8},{3,5},{4},{6},{7}}
[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}
[2,1,4,5,8,6,7,3]=>{{1,2},{3,4,5,8},{6},{7}}
[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}
[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}
[2,3,1,8,6,7,5,4]=>{{1,2,3},{4,8},{5,6,7}}
[2,3,4,1,8,6,7,5]=>{{1,2,3,4},{5,8},{6},{7}}
[2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}}
[2,3,4,8,5,7,6,1]=>{{1,2,3,4,8},{5},{6,7}}
[2,3,4,8,6,5,7,1]=>{{1,2,3,4,8},{5,6},{7}}
[2,3,4,8,6,7,5,1]=>{{1,2,3,4,8},{5,6,7}}
[2,3,6,4,5,1,8,7]=>{{1,2,3,6},{4},{5},{7,8}}
[2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}}
[2,5,3,4,1,8,7,6]=>{{1,2,5},{3},{4},{6,8},{7}}
[2,5,4,3,8,6,7,1]=>{{1,2,5,8},{3,4},{6},{7}}
[3,2,1,5,8,6,7,4]=>{{1,3},{2},{4,5,8},{6},{7}}
[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}
[3,2,1,7,5,6,8,4]=>{{1,3},{2},{4,7,8},{5},{6}}
[3,2,1,8,5,6,7,4]=>{{1,3},{2},{4,8},{5},{6},{7}}
[3,2,1,8,5,7,6,4]=>{{1,3},{2},{4,8},{5},{6,7}}
[3,2,1,8,6,5,7,4]=>{{1,3},{2},{4,8},{5,6},{7}}
[3,2,1,8,6,7,5,4]=>{{1,3},{2},{4,8},{5,6,7}}
[3,2,4,1,8,6,7,5]=>{{1,3,4},{2},{5,8},{6},{7}}
[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}
[4,2,3,1,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}
[4,2,3,1,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}
[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,2,3,1,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}
[4,2,3,5,1,8,7,6]=>{{1,4,5},{2},{3},{6,8},{7}}
[4,2,3,7,6,5,8,1]=>{{1,4,7,8},{2},{3},{5,6}}
[4,2,3,8,7,6,5,1]=>{{1,4,8},{2},{3},{5,7},{6}}
[5,2,3,4,1,8,7,6]=>{{1,5},{2},{3},{4},{6,8},{7}}
[6,2,3,5,4,1,7,8]=>{{1,6},{2},{3},{4,5},{7},{8}}
[7,2,3,6,5,4,1,8]=>{{1,7},{2},{3},{4,6},{5},{8}}
[5,2,4,3,1,8,7,6]=>{{1,5},{2},{3,4},{6,8},{7}}
[4,3,2,1,8,6,7,5]=>{{1,4},{2,3},{5,8},{6},{7}}
[4,3,2,7,5,6,8,1]=>{{1,4,7,8},{2,3},{5},{6}}
[5,3,2,4,1,8,7,6]=>{{1,5},{2,3},{4},{6,8},{7}}
[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}
[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}
[5,3,4,2,1,7,8,6]=>{{1,5},{2,3,4},{6,7,8}}
[5,3,4,2,1,8,7,6]=>{{1,5},{2,3,4},{6,8},{7}}
[7,3,6,5,4,2,1,8]=>{{1,7},{2,3,6},{4,5},{8}}
[5,4,3,2,8,6,7,1]=>{{1,5,8},{2,4},{3},{6},{7}}
[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}
[2,4,1,3,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}
[2,1,4,6,3,5,8,7]=>{{1,2},{3,4,6},{5},{7,8}}
[2,4,1,6,3,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}
[2,4,6,1,3,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}
[2,1,4,3,6,8,5,7]=>{{1,2},{3,4},{5,6,8},{7}}
[2,4,1,3,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}
[2,1,4,6,3,8,5,7]=>{{1,2},{3,4,6,8},{5},{7}}
[2,4,1,6,3,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}
[2,4,6,1,3,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}
[2,1,4,6,8,3,5,7]=>{{1,2},{3,4,6},{5,8},{7}}
[2,4,1,6,8,3,5,7]=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,6,1,8,3,5,7]=>{{1,2,4},{3,6},{5,8},{7}}
[2,4,6,8,1,3,5,7]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,1,6,3,7,5,8]=>{{1,2,4,6,7},{3},{5},{8}}
[2,4,1,3,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}
[2,4,1,6,3,7,8,5]=>{{1,2,4,6,7,8},{3},{5}}
[2,4,1,6,7,3,8,5]=>{{1,2,4,6},{3},{5,7,8}}
[2,4,6,1,7,3,8,5]=>{{1,2,4},{3,6},{5,7,8}}
[2,4,6,7,1,8,3,5]=>{{1,2,4,7},{3,6,8},{5}}
[2,1,4,3,7,5,8,6]=>{{1,2},{3,4},{5,7,8},{6}}
[2,4,1,3,7,5,8,6]=>{{1,2,4},{3},{5,7,8},{6}}
[2,4,7,1,3,5,8,6]=>{{1,2,4},{3,7,8},{5},{6}}
[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}
[2,4,7,1,3,8,5,6]=>{{1,2,4},{3,7},{5},{6,8}}
[2,1,4,5,7,3,8,6]=>{{1,2},{3,4,5,7,8},{6}}
[2,4,5,7,1,3,8,6]=>{{1,2,4,7,8},{3,5},{6}}
[2,1,4,3,8,5,6,7]=>{{1,2},{3,4},{5,8},{6},{7}}
[2,4,1,3,8,5,6,7]=>{{1,2,4},{3},{5,8},{6},{7}}
[2,1,4,5,8,3,6,7]=>{{1,2},{3,4,5,8},{6},{7}}
[2,4,1,5,6,3,8,7]=>{{1,2,4,5,6},{3},{7,8}}
[2,1,5,3,6,4,8,7]=>{{1,2},{3,5,6},{4},{7,8}}
[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}
[2,5,1,6,7,3,4,8]=>{{1,2,5,7},{3},{4,6},{8}}
[2,5,1,6,7,3,8,4]=>{{1,2,5,7,8},{3},{4,6}}
[2,1,5,6,7,8,3,4]=>{{1,2},{3,5,7},{4,6,8}}
[2,5,1,6,7,8,3,4]=>{{1,2,5,7},{3},{4,6,8}}
[2,5,6,7,8,1,3,4]=>{{1,2,5,8},{3,6},{4,7}}
[2,1,5,3,7,4,8,6]=>{{1,2},{3,5,7,8},{4},{6}}
[2,5,1,7,3,4,8,6]=>{{1,2,5},{3},{4,7,8},{6}}
[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}
[2,1,5,7,8,3,4,6]=>{{1,2},{3,5,8},{4,7},{6}}
[2,3,5,1,7,4,8,6]=>{{1,2,3,5,7,8},{4},{6}}
[2,3,5,6,7,8,1,4]=>{{1,2,3,5,7},{4,6,8}}
[2,1,6,3,7,4,8,5]=>{{1,2},{3,6},{4},{5,7,8}}
[2,6,1,3,7,4,8,5]=>{{1,2,6},{3},{4},{5,7,8}}
[2,6,7,1,3,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}
[2,6,1,7,3,8,4,5]=>{{1,2,6,8},{3},{4,7},{5}}
[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}
[2,3,6,1,4,7,5,8]=>{{1,2,3,6,7},{4},{5},{8}}
[2,1,6,3,4,7,8,5]=>{{1,2},{3,6,7,8},{4},{5}}
[2,3,6,1,7,8,4,5]=>{{1,2,3,6,8},{4},{5,7}}
[2,1,6,3,4,8,5,7]=>{{1,2},{3,6,8},{4},{5},{7}}
[2,3,1,6,8,4,5,7]=>{{1,2,3},{4,6},{5,8},{7}}
[2,3,6,1,4,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}
[2,3,4,1,6,8,5,7]=>{{1,2,3,4},{5,6,8},{7}}
[2,1,7,8,3,4,5,6]=>{{1,2},{3,7},{4,8},{5},{6}}
[2,7,1,8,3,4,5,6]=>{{1,2,7},{3},{4,8},{5},{6}}
[2,3,4,1,7,5,8,6]=>{{1,2,3,4},{5,7,8},{6}}
[2,3,4,1,7,8,5,6]=>{{1,2,3,4},{5,7},{6,8}}
[2,3,4,1,7,5,6,8]=>{{1,2,3,4},{5,7},{6},{8}}
[2,1,3,4,8,5,6,7]=>{{1,2},{3},{4},{5,8},{6},{7}}
[2,3,1,4,8,5,6,7]=>{{1,2,3},{4},{5,8},{6},{7}}
[2,3,4,1,8,5,6,7]=>{{1,2,3,4},{5,8},{6},{7}}
[2,3,4,8,1,5,6,7]=>{{1,2,3,4,8},{5},{6},{7}}
[2,3,4,1,5,8,6,7]=>{{1,2,3,4},{5},{6,8},{7}}
[3,1,4,2,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}
[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}
[3,1,4,2,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}
[3,1,4,6,8,2,5,7]=>{{1,3,4,6},{2},{5,8},{7}}
[3,4,6,1,2,7,5,8]=>{{1,3,6,7},{2,4},{5},{8}}
[3,1,4,2,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}
[3,4,1,2,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}
[3,4,6,1,2,7,8,5]=>{{1,3,6,7,8},{2,4},{5}}
[3,4,6,1,7,2,8,5]=>{{1,3,6},{2,4},{5,7,8}}
[3,4,6,7,1,8,2,5]=>{{1,3,6,8},{2,4,7},{5}}
[3,1,4,2,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}
[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}
[3,4,7,1,8,2,5,6]=>{{1,3,7},{2,4},{5,8},{6}}
[3,4,5,7,1,2,8,6]=>{{1,3,5},{2,4,7,8},{6}}
[3,1,4,2,8,5,6,7]=>{{1,3,4},{2},{5,8},{6},{7}}
[3,4,1,2,8,5,6,7]=>{{1,3},{2,4},{5,8},{6},{7}}
[3,1,5,2,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}
[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}
[3,5,6,1,2,4,8,7]=>{{1,3,6},{2,5},{4},{7,8}}
[3,1,5,6,2,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}
[3,5,6,1,7,2,4,8]=>{{1,3,6},{2,5,7},{4},{8}}
[3,5,6,1,7,2,8,4]=>{{1,3,6},{2,5,7,8},{4}}
[3,5,6,1,7,8,2,4]=>{{1,3,6,8},{2,5,7},{4}}
[3,5,6,7,8,1,2,4]=>{{1,3,6},{2,5,8},{4,7}}
[3,1,5,2,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}
[3,1,5,7,2,4,8,6]=>{{1,3,5},{2},{4,7,8},{6}}
[3,1,5,7,2,8,4,6]=>{{1,3,5},{2},{4,7},{6,8}}
[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}
[3,5,1,7,8,2,4,6]=>{{1,3},{2,5,8},{4,7},{6}}
[3,1,5,2,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}
[1,3,5,2,7,4,8,6]=>{{1},{2,3,5,7,8},{4},{6}}
[3,1,5,2,8,4,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}
[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,8},{6},{7}}
[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,8},{6},{7}}
[1,3,5,2,6,8,4,7]=>{{1},{2,3,5,6,8},{4},{7}}
[1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}
[3,1,6,2,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}
[3,6,1,7,2,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}
[3,6,1,7,2,8,4,5]=>{{1,3},{2,6,8},{4,7},{5}}
[3,6,7,1,2,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}
[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}
[3,1,6,7,2,4,5,8]=>{{1,3,6},{2},{4,7},{5},{8}}
[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,6,7},{5},{8}}
[1,3,6,2,4,7,8,5]=>{{1},{2,3,6,7,8},{4},{5}}
[3,1,2,6,7,4,8,5]=>{{1,3},{2},{4,6},{5,7,8}}
[1,3,6,2,7,8,4,5]=>{{1},{2,3,6,8},{4},{5,7}}
[3,1,6,2,8,4,5,7]=>{{1,3,6},{2},{4},{5,8},{7}}
[3,1,6,8,2,4,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}
[3,1,6,2,4,5,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}
[3,1,2,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}
[3,1,7,8,2,4,5,6]=>{{1,3,7},{2},{4,8},{5},{6}}
[1,3,7,2,8,4,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}
[3,1,2,4,8,5,6,7]=>{{1,3},{2},{4},{5,8},{6},{7}}
[1,3,2,4,8,5,6,7]=>{{1},{2,3},{4},{5,8},{6},{7}}
[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,8},{6},{7}}
[4,1,5,2,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}}
[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[4,1,5,2,6,8,3,7]=>{{1,4},{2},{3,5,6,8},{7}}
[4,5,1,6,2,8,3,7]=>{{1,4,6,8},{2,5},{3},{7}}
[4,1,5,6,8,2,3,7]=>{{1,4,6},{2},{3,5,8},{7}}
[4,5,1,6,2,7,3,8]=>{{1,4,6,7},{2,5},{3},{8}}
[4,5,6,7,1,2,8,3]=>{{1,4,7,8},{2,5},{3,6}}
[4,5,6,7,1,8,2,3]=>{{1,4,7},{2,5},{3,6,8}}
[4,1,5,2,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}
[4,1,5,2,7,8,3,6]=>{{1,4},{2},{3,5,7},{6,8}}
[4,1,5,7,2,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}
[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}
[4,5,1,7,8,2,3,6]=>{{1,4,7},{2,5,8},{3},{6}}
[4,5,1,2,7,3,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[1,4,2,5,3,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}}
[4,1,2,5,7,3,6,8]=>{{1,4,5,7},{2},{3},{6},{8}}
[1,4,2,5,7,3,8,6]=>{{1},{2,4,5,7,8},{3},{6}}
[1,4,5,7,2,3,8,6]=>{{1},{2,4,7,8},{3,5},{6}}
[4,5,1,2,8,3,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}
[1,4,2,5,3,8,6,7]=>{{1},{2,4,5},{3},{6,8},{7}}
[1,4,2,5,8,3,6,7]=>{{1},{2,4,5,8},{3},{6},{7}}
[4,1,2,5,6,3,8,7]=>{{1,4,5,6},{2},{3},{7,8}}
[1,4,2,5,3,6,7,8]=>{{1},{2,4,5},{3},{6},{7},{8}}
[4,1,6,2,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}
[4,6,1,2,7,8,3,5]=>{{1,4},{2,6,8},{3},{5,7}}
[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,1,7,2,3,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[1,4,2,6,3,7,5,8]=>{{1},{2,4,6,7},{3},{5},{8}}
[1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}}
[1,4,2,6,7,8,3,5]=>{{1},{2,4,6,8},{3},{5,7}}
[1,4,6,2,7,8,3,5]=>{{1},{2,4},{3,6,8},{5,7}}
[1,4,6,7,2,8,3,5]=>{{1},{2,4,7},{3,6,8},{5}}
[4,1,6,2,8,3,5,7]=>{{1,4},{2},{3,6},{5,8},{7}}
[4,6,1,8,2,3,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[4,1,2,6,3,8,5,7]=>{{1,4,6,8},{2},{3},{5},{7}}
[1,4,2,6,3,8,5,7]=>{{1},{2,4,6,8},{3},{5},{7}}
[4,1,2,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}
[4,1,2,3,6,8,5,7]=>{{1,4},{2},{3},{5,6,8},{7}}
[4,1,2,3,6,5,7,8]=>{{1,4},{2},{3},{5,6},{7},{8}}
[4,1,2,3,6,7,5,8]=>{{1,4},{2},{3},{5,6,7},{8}}
[4,1,2,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}
[1,4,2,3,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}
[4,1,7,2,8,3,5,6]=>{{1,4},{2},{3,7},{5,8},{6}}
[4,7,1,8,2,3,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,1,2,7,8,3,5,6]=>{{1,4,7},{2},{3},{5,8},{6}}
[1,4,2,7,8,3,5,6]=>{{1},{2,4,7},{3},{5,8},{6}}
[4,1,2,3,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}
[4,1,2,3,7,8,5,6]=>{{1,4},{2},{3},{5,7},{6,8}}
[4,1,2,3,7,5,6,8]=>{{1,4},{2},{3},{5,7},{6},{8}}
[4,1,2,3,5,7,6,8]=>{{1,4},{2},{3},{5},{6,7},{8}}
[4,1,2,3,5,7,8,6]=>{{1,4},{2},{3},{5},{6,7,8}}
[4,1,2,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}
[1,4,2,3,8,5,6,7]=>{{1},{2,4},{3},{5,8},{6},{7}}
[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,8},{6},{7}}
[4,1,2,3,5,8,6,7]=>{{1,4},{2},{3},{5},{6,8},{7}}
[4,1,2,3,5,6,8,7]=>{{1,4},{2},{3},{5},{6},{7,8}}
[5,1,6,2,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}
[1,5,2,6,3,7,4,8]=>{{1},{2,5},{3},{4,6,7},{8}}
[1,5,6,7,8,2,3,4]=>{{1},{2,5,8},{3,6},{4,7}}
[5,6,8,1,2,3,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,1,6,2,3,8,4,7]=>{{1,5},{2},{3,6,8},{4},{7}}
[5,6,1,2,3,8,4,7]=>{{1,5},{2,6,8},{3},{4},{7}}
[1,5,6,2,3,8,4,7]=>{{1},{2,5},{3,6,8},{4},{7}}
[5,1,2,3,6,7,8,4]=>{{1,5,6,7,8},{2},{3},{4}}
[5,1,7,2,8,3,4,6]=>{{1,5,8},{2},{3,7},{4},{6}}
[5,7,1,2,8,3,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,7,8,1,2,3,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[1,5,7,2,8,3,4,6]=>{{1},{2,5,8},{3,7},{4},{6}}
[5,1,2,7,3,4,8,6]=>{{1,5},{2},{3},{4,7,8},{6}}
[1,5,2,8,3,4,6,7]=>{{1},{2,5},{3},{4,8},{6},{7}}
[6,1,7,8,2,3,4,5]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,7,1,8,2,3,4,5]=>{{1,6},{2,7},{3},{4,8},{5}}
[1,6,2,7,3,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}
[1,6,7,8,2,3,4,5]=>{{1},{2,6},{3,7},{4,8},{5}}
[6,1,2,3,7,8,4,5]=>{{1,6,8},{2},{3},{4},{5,7}}
[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,6,7},{5},{8}}
[6,1,2,8,3,4,5,7]=>{{1,6},{2},{3},{4,8},{5},{7}}
[7,1,2,8,3,4,5,6]=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,7,2,8,3,4,5,6]=>{{1},{2,7},{3},{4,8},{5},{6}}
[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}
[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,8},{6},{7}}
[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}
[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}
[8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}}
[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}
[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}
[5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}
[3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}}
[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}
[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}
[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}
[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}
[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}
[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}
[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}
[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}
[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}
[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}
[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}
[4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}}
[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}
[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}
[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}
[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}
[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}
[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}
[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}
[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}
[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}
[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}
[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}
[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}
[5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}
[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}
[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}
[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}
[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}
[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}
[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}
[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}
[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}
[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}
[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}
[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}
[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}
[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}
[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}
[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}
[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}
[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}
[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}
[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}
[2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}}
[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}
[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}
[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}
[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}
[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}
[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}
[5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}}
[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}
[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}
[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}
[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}
[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}
[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}
[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}
[3,2,6,1,4,5,7,8]=>{{1,3,6},{2},{4},{5},{7},{8}}
[6,3,5,1,2,4,7,8]=>{{1,6},{2,3,5},{4},{7},{8}}
[7,3,5,1,2,4,6,8]=>{{1,7},{2,3,5},{4},{6},{8}}
[6,5,8,1,2,3,4,7]=>{{1,6},{2,5},{3,8},{4},{7}}
[7,5,8,1,2,3,4,6]=>{{1,7},{2,5},{3,8},{4},{6}}
[8,3,5,1,2,4,6,7]=>{{1,8},{2,3,5},{4},{6},{7}}
[8,5,7,1,2,3,4,6]=>{{1,8},{2,5},{3,7},{4},{6}}
[5,2,6,7,1,3,4,8]=>{{1,5},{2},{3,6},{4,7},{8}}
[5,3,6,7,1,2,4,8]=>{{1,5},{2,3,6},{4,7},{8}}
[4,3,6,8,1,2,5,7]=>{{1,4,8},{2,3,6},{5},{7}}
[6,3,5,8,1,2,4,7]=>{{1,6},{2,3,5},{4,8},{7}}
[3,2,7,8,1,4,5,6]=>{{1,3,7},{2},{4,8},{5},{6}}
[8,3,5,7,1,2,4,6]=>{{1,8},{2,3,5},{4,7},{6}}
[5,6,2,4,1,3,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}
[5,7,2,4,1,3,6,8]=>{{1,5},{2,7},{3},{4},{6},{8}}
[4,8,2,5,1,3,6,7]=>{{1,4,5},{2,8},{3},{6},{7}}
[4,8,2,7,1,3,5,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[5,8,3,7,1,2,4,6]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,4,7,1,2,3,6]=>{{1,5},{2,8},{3,4,7},{6}}
[6,8,5,7,1,2,3,4]=>{{1,6},{2,8},{3,5},{4,7}}
[7,8,2,4,1,3,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,3,2,6,1,5,7,8]=>{{1,4,6},{2,3},{5},{7},{8}}
[5,3,2,6,1,4,7,8]=>{{1,5},{2,3},{4,6},{7},{8}}
[5,4,2,6,1,3,7,8]=>{{1,5},{2,4,6},{3},{7},{8}}
[4,3,2,7,1,5,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}
[5,3,2,7,1,4,6,8]=>{{1,5},{2,3},{4,7},{6},{8}}
[6,5,3,7,1,2,4,8]=>{{1,6},{2,5},{3},{4,7},{8}}
[7,4,2,5,1,3,6,8]=>{{1,7},{2,4,5},{3},{6},{8}}
[4,3,2,8,1,5,6,7]=>{{1,4,8},{2,3},{5},{6},{7}}
[5,3,2,8,1,4,6,7]=>{{1,5},{2,3},{4,8},{6},{7}}
[6,5,2,8,1,3,4,7]=>{{1,6},{2,5},{3},{4,8},{7}}
[6,5,3,8,1,2,4,7]=>{{1,6},{2,5},{3},{4,8},{7}}
[6,5,4,8,1,2,3,7]=>{{1,6},{2,5},{3,4,8},{7}}
[7,4,2,8,1,3,5,6]=>{{1,7},{2,4,8},{3},{5},{6}}
[8,4,2,5,1,3,6,7]=>{{1,8},{2,4,5},{3},{6},{7}}
[8,4,2,6,1,3,5,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[8,4,2,7,1,3,5,6]=>{{1,8},{2,4,7},{3},{5},{6}}
[8,5,4,7,1,2,3,6]=>{{1,8},{2,5},{3,4,7},{6}}
[8,7,2,4,1,3,5,6]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,3,5,1,2,4,6]=>{{1,8},{2,7},{3},{4,5},{6}}
[8,7,2,6,1,3,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}
[8,7,3,6,1,2,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}
[8,7,4,6,1,2,3,5]=>{{1,8},{2,7},{3,4,6},{5}}
[5,6,2,4,8,1,3,7]=>{{1,5,8},{2,6},{3},{4},{7}}
[4,7,3,5,8,1,2,6]=>{{1,4,5,8},{2,7},{3},{6}}
[4,8,3,5,7,1,2,6]=>{{1,4,5,7},{2,8},{3},{6}}
[5,8,4,6,7,1,2,3]=>{{1,5,7},{2,8},{3,4,6}}
[6,8,2,5,7,1,3,4]=>{{1,6},{2,8},{3},{4,5,7}}
[7,8,2,4,6,1,3,5]=>{{1,7},{2,8},{3},{4},{5,6}}
[4,3,2,6,8,1,5,7]=>{{1,4,6},{2,3},{5,8},{7}}
[5,4,2,6,8,1,3,7]=>{{1,5,8},{2,4,6},{3},{7}}
[6,4,3,5,8,1,2,7]=>{{1,6},{2,4,5,8},{3},{7}}
[4,3,2,7,8,1,5,6]=>{{1,4,7},{2,3},{5,8},{6}}
[5,4,2,7,8,1,3,6]=>{{1,5,8},{2,4,7},{3},{6}}
[8,7,2,4,6,1,3,5]=>{{1,8},{2,7},{3},{4},{5,6}}
[8,7,3,4,6,1,2,5]=>{{1,8},{2,7},{3},{4},{5,6}}
[4,3,7,2,6,1,5,8]=>{{1,4},{2,3,7},{5,6},{8}}
[6,3,7,2,5,1,4,8]=>{{1,6},{2,3,7},{4},{5},{8}}
[6,4,7,2,5,1,3,8]=>{{1,6},{2,4},{3,7},{5},{8}}
[4,3,8,2,6,1,5,7]=>{{1,4},{2,3,8},{5,6},{7}}
[6,4,8,2,5,1,3,7]=>{{1,6},{2,4},{3,8},{5},{7}}
[4,3,8,2,7,1,5,6]=>{{1,4},{2,3,8},{5,7},{6}}
[6,4,8,2,7,1,3,5]=>{{1,6},{2,4},{3,8},{5,7}}
[6,5,8,2,7,1,3,4]=>{{1,6},{2,5,7},{3,8},{4}}
[7,5,8,2,4,1,3,6]=>{{1,7},{2,5},{3,8},{4},{6}}
[7,5,8,2,6,1,3,4]=>{{1,7},{2,5,6},{3,8},{4}}
[7,5,8,4,6,1,2,3]=>{{1,7},{2,5,6},{3,8},{4}}
[8,3,7,2,6,1,4,5]=>{{1,8},{2,3,7},{4},{5,6}}
[8,4,7,2,6,1,3,5]=>{{1,8},{2,4},{3,7},{5,6}}
[8,4,7,3,6,1,2,5]=>{{1,8},{2,4},{3,7},{5,6}}
[8,5,7,2,6,1,3,4]=>{{1,8},{2,5,6},{3,7},{4}}
[8,6,7,2,5,1,3,4]=>{{1,8},{2,6},{3,7},{4},{5}}
[5,4,3,2,7,1,6,8]=>{{1,5,7},{2,4},{3},{6},{8}}
[6,5,3,2,7,1,4,8]=>{{1,6},{2,5,7},{3},{4},{8}}
[7,5,3,2,6,1,4,8]=>{{1,7},{2,5,6},{3},{4},{8}}
[5,4,3,2,8,1,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}
[6,5,3,2,8,1,4,7]=>{{1,6},{2,5,8},{3},{4},{7}}
[7,5,3,2,8,1,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}
[7,6,5,3,8,1,2,4]=>{{1,7},{2,6},{3,5,8},{4}}
[8,5,3,2,6,1,4,7]=>{{1,8},{2,5,6},{3},{4},{7}}
[8,5,3,2,7,1,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}
[8,6,5,3,7,1,2,4]=>{{1,8},{2,6},{3,5,7},{4}}
[8,7,4,2,6,1,3,5]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,4,3,6,1,2,5]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,5,2,6,1,3,4]=>{{1,8},{2,7},{3,5,6},{4}}
[8,7,5,3,6,1,2,4]=>{{1,8},{2,7},{3,5,6},{4}}
[8,7,6,2,4,1,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,3,7,2,6,1,5]=>{{1,4,7},{2,8},{3},{5},{6}}
[5,8,3,7,2,6,1,4]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,4,7,2,6,1,3]=>{{1,5},{2,8},{3,4,7},{6}}
[5,8,4,7,3,6,1,2]=>{{1,5},{2,8},{3,4,7},{6}}
[6,8,3,7,2,5,1,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,4,7,2,5,1,3]=>{{1,6},{2,8},{3,4,7},{5}}
[6,8,4,7,3,5,1,2]=>{{1,6},{2,8},{3,4,7},{5}}
[6,8,5,7,2,4,1,3]=>{{1,6},{2,8},{3,5},{4,7}}
[6,8,5,7,3,4,1,2]=>{{1,6},{2,8},{3,5},{4,7}}
[7,8,3,6,2,5,1,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,4,6,2,5,1,3]=>{{1,7},{2,8},{3,4,6},{5}}
[7,8,4,6,3,5,1,2]=>{{1,7},{2,8},{3,4,6},{5}}
[7,8,5,6,2,4,1,3]=>{{1,7},{2,8},{3,5},{4,6}}
[6,4,3,8,2,7,1,5]=>{{1,6,7},{2,4,8},{3},{5}}
[6,5,3,8,2,7,1,4]=>{{1,6,7},{2,5},{3},{4,8}}
[7,5,3,8,2,6,1,4]=>{{1,7},{2,5},{3},{4,8},{6}}
[7,6,4,8,2,5,1,3]=>{{1,7},{2,6},{3,4,8},{5}}
[8,5,3,7,2,6,1,4]=>{{1,8},{2,5},{3},{4,7},{6}}
[8,6,4,7,2,5,1,3]=>{{1,8},{2,6},{3,4,7},{5}}
[8,7,5,6,2,4,1,3]=>{{1,8},{2,7},{3,5},{4,6}}
[8,5,4,3,2,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,5,4,2,6,1,3]=>{{1,8},{2,7},{3,5},{4},{6}}
[8,7,6,5,2,4,1,3]=>{{1,8},{2,7},{3,6},{4,5}}
[4,1,2,8,7,3,5,6]=>{{1,4,8},{2},{3},{5,7},{6}}
[4,1,2,7,6,3,8,5]=>{{1,4,7,8},{2},{3},{5,6}}
[3,1,7,2,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}
[3,1,8,2,6,7,4,5]=>{{1,3,8},{2},{4},{5,6,7}}
[6,1,4,2,3,8,5,7]=>{{1,6,8},{2},{3,4},{5},{7}}
[6,1,5,2,3,8,4,7]=>{{1,6,8},{2},{3,5},{4},{7}}
[5,1,4,2,8,3,6,7]=>{{1,5,8},{2},{3,4},{6},{7}}
[5,1,4,2,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}
[7,1,4,2,6,3,8,5]=>{{1,7,8},{2},{3,4},{5,6}}
[8,1,5,2,7,3,4,6]=>{{1,8},{2},{3,5,7},{4},{6}}
[7,1,5,2,6,3,8,4]=>{{1,7,8},{2},{3,5,6},{4}}
[5,1,4,2,8,7,3,6]=>{{1,5,8},{2},{3,4},{6,7}}
[3,1,8,6,2,4,5,7]=>{{1,3,8},{2},{4,6},{5},{7}}
[3,1,8,6,2,7,4,5]=>{{1,3,8},{2},{4,6,7},{5}}
[7,1,8,6,2,3,4,5]=>{{1,7},{2},{3,8},{4,6},{5}}
[5,4,1,2,8,3,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}
[5,8,1,2,7,3,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}
[5,7,1,2,6,3,8,4]=>{{1,5,6},{2,7,8},{3},{4}}
[4,3,1,6,2,8,5,7]=>{{1,4,6,8},{2,3},{5},{7}}
[7,3,1,6,2,4,8,5]=>{{1,7,8},{2,3},{4,6},{5}}
[8,3,1,5,2,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,1,6,2,7,4,5]=>{{1,8},{2,3},{4,6,7},{5}}
[7,4,1,5,2,3,8,6]=>{{1,7,8},{2,4,5},{3},{6}}
[8,4,1,6,2,3,5,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[7,4,1,8,2,3,5,6]=>{{1,7},{2,4,8},{3},{5},{6}}
[8,7,1,6,2,3,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}
[6,4,1,5,2,8,3,7]=>{{1,6,8},{2,4,5},{3},{7}}
[6,8,1,5,2,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}
[4,3,1,8,7,2,5,6]=>{{1,4,8},{2,3},{5,7},{6}}
[8,3,1,5,6,2,4,7]=>{{1,8},{2,3},{4,5,6},{7}}
[8,3,1,5,7,2,4,6]=>{{1,8},{2,3},{4,5,7},{6}}
[8,3,1,7,6,2,4,5]=>{{1,8},{2,3},{4,7},{5,6}}
[2,3,8,1,6,7,4,5]=>{{1,2,3,8},{4},{5,6,7}}
[2,6,4,1,3,8,5,7]=>{{1,2,6,8},{3,4},{5},{7}}
[2,6,4,1,3,7,8,5]=>{{1,2,6,7,8},{3,4},{5}}
[2,7,5,1,3,4,8,6]=>{{1,2,7,8},{3,5},{4},{6}}
[2,6,8,1,3,7,4,5]=>{{1,2,6,7},{3,8},{4},{5}}
[2,6,5,1,3,7,8,4]=>{{1,2,6,7,8},{3,5},{4}}
[2,8,5,1,7,3,4,6]=>{{1,2,8},{3,5,7},{4},{6}}
[6,3,4,1,2,7,8,5]=>{{1,6,7,8},{2,3,4},{5}}
[7,3,5,1,2,4,8,6]=>{{1,7,8},{2,3,5},{4},{6}}
[8,3,5,1,2,7,4,6]=>{{1,8},{2,3,5},{4},{6,7}}
[6,3,8,1,2,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}
[7,5,4,1,2,3,8,6]=>{{1,7,8},{2,5},{3,4},{6}}
[6,8,5,1,2,3,4,7]=>{{1,6},{2,8},{3,5},{4},{7}}
[8,5,4,1,2,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,3,4,1,7,2,5,6]=>{{1,8},{2,3,4},{5,7},{6}}
[7,3,4,1,6,2,8,5]=>{{1,7,8},{2,3,4},{5,6}}
[8,3,5,1,6,2,4,7]=>{{1,8},{2,3,5,6},{4},{7}}
[7,3,5,1,6,2,8,4]=>{{1,7,8},{2,3,5,6},{4}}
[7,8,4,1,6,2,3,5]=>{{1,7},{2,8},{3,4},{5,6}}
[2,3,4,8,1,7,5,6]=>{{1,2,3,4,8},{5},{6,7}}
[2,8,6,5,1,3,4,7]=>{{1,2,8},{3,6},{4,5},{7}}
[2,8,4,6,1,7,3,5]=>{{1,2,8},{3,4,6,7},{5}}
[2,3,4,8,6,1,5,7]=>{{1,2,3,4,8},{5,6},{7}}
[2,3,4,8,7,1,5,6]=>{{1,2,3,4,8},{5,7},{6}}
[2,3,4,8,6,7,1,5]=>{{1,2,3,4,8},{5,6,7}}
[6,5,8,7,3,4,1,2]=>{{1,6},{2,5},{3,8},{4,7}}
[4,6,7,3,8,5,1,2]=>{{1,4},{2,6},{3,7},{5,8}}
[3,6,7,4,5,8,1,2]=>{{1,3,7},{2,6,8},{4},{5}}
[5,4,3,8,7,6,1,2]=>{{1,5,7},{2,4,8},{3},{6}}
[6,4,8,3,7,5,1,2]=>{{1,6},{2,4},{3,8},{5,7}}
[6,3,8,4,5,7,1,2]=>{{1,6,7},{2,3,8},{4},{5}}
[6,2,8,4,5,1,7,3]=>{{1,6},{2},{3,8},{4},{5},{7}}
[7,8,2,4,5,1,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,1,4,5,2,3,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,3,8,2,1,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}
[7,8,3,2,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,4,2,6,1,5,3]=>{{1,7},{2,8},{3,4},{5,6}}
[5,4,2,8,7,1,6,3]=>{{1,5,7},{2,4,8},{3},{6}}
[4,5,2,7,8,1,6,3]=>{{1,4,7},{2,5,8},{3},{6}}
[3,5,2,7,1,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}
[1,5,3,7,2,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}}
[4,6,7,2,8,1,5,3]=>{{1,4},{2,6},{3,7},{5,8}}
[5,6,7,8,2,1,4,3]=>{{1,5},{2,6},{3,7},{4,8}}
[7,8,5,6,2,1,4,3]=>{{1,7},{2,8},{3,5},{4,6}}
[6,5,8,7,1,2,3,4]=>{{1,6},{2,5},{3,8},{4,7}}
[6,4,8,1,7,2,3,5]=>{{1,6},{2,4},{3,8},{5,7}}
[5,3,1,8,2,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}
[4,3,1,2,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}
[4,5,2,3,7,6,1,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[6,4,3,7,2,5,1,8]=>{{1,6},{2,4,7},{3},{5},{8}}
[8,4,3,6,5,1,2,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[1,5,6,3,4,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}
[4,6,2,7,3,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[3,2,6,7,4,5,1,8]=>{{1,3,6},{2},{4,7},{5},{8}}
[4,1,2,6,5,8,7,3]=>{{1,4,6,8},{2},{3},{5},{7}}
[5,1,6,2,4,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}
[8,1,5,4,7,6,2,3]=>{{1,8},{2},{3,5,7},{4},{6}}
[8,1,6,7,4,5,2,3]=>{{1,8},{2},{3,6},{4,7},{5}}
[6,1,7,8,2,4,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[5,1,7,2,8,4,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[4,1,2,7,8,5,6,3]=>{{1,4,7},{2},{3},{5,8},{6}}
[3,2,1,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}
[4,8,2,7,1,5,3,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[5,8,7,2,1,4,3,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,8,7,1,2,4,3,5]=>{{1,6},{2,8},{3,7},{4},{5}}
[8,7,6,1,4,3,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[1,6,7,8,3,4,5,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[7,6,8,1,3,2,4,5]=>{{1,7},{2,6},{3,8},{4},{5}}
[5,7,8,2,1,3,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,7,2,8,1,3,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[3,2,6,8,4,1,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}
[4,6,2,8,3,1,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[5,6,8,2,3,1,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[7,5,8,3,1,2,4,6]=>{{1,7},{2,5},{3,8},{4},{6}}
[1,5,7,3,8,4,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}
[1,4,3,7,8,5,6,2]=>{{1},{2,4,7},{3},{5,8},{6}}
[6,4,3,8,2,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}
[4,5,2,3,8,1,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}
[3,2,5,4,8,1,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}
[4,5,2,3,1,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}
[6,4,3,1,2,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}
[7,4,3,1,8,2,6,5]=>{{1,7},{2,4},{3},{5,8},{6}}
[1,5,8,3,7,6,4,2]=>{{1},{2,5,7},{3,8},{4},{6}}
[7,5,1,3,8,2,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}
[5,6,1,2,3,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[4,6,2,1,3,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}
[3,2,6,1,4,8,7,5]=>{{1,3,6,8},{2},{4},{5},{7}}
[3,2,7,1,8,4,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}
[5,7,1,2,8,3,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,1,8,2,3,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[7,6,1,8,3,2,5,4]=>{{1,7},{2,6},{3},{4,8},{5}}
[6,8,1,7,2,5,3,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[3,2,8,1,7,6,4,5]=>{{1,3,8},{2},{4},{5,7},{6}}
[4,1,2,8,7,6,5,3]=>{{1,4,8},{2},{3},{5,7},{6}}
[5,1,8,2,7,6,4,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[3,2,5,1,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}
[4,3,5,2,7,1,8,6]=>{{1,4},{2,3,5,7,8},{6}}
[4,3,5,1,7,2,8,6]=>{{1,4},{2,3,5,7,8},{6}}
[4,1,5,3,7,2,8,6]=>{{1,4},{2},{3,5,7,8},{6}}
[4,3,6,5,7,1,8,2]=>{{1,4,5,7,8},{2,3,6}}
[5,3,6,4,7,1,8,2]=>{{1,5,7,8},{2,3,6},{4}}
[5,2,6,1,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}
[4,2,6,1,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}
[3,2,6,1,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}
[3,2,5,1,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}
[3,2,4,1,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}
[3,1,4,2,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}
[3,2,5,1,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}
[4,2,6,1,7,5,8,3]=>{{1,4},{2},{3,6},{5,7,8}}
[3,1,5,2,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}
[2,1,5,3,7,6,8,4]=>{{1,2},{3,5,7,8},{4},{6}}
[4,1,6,2,7,5,8,3]=>{{1,4},{2},{3,6},{5,7,8}}
[5,1,6,2,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}
[5,2,6,1,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}
[4,1,6,5,7,3,8,2]=>{{1,4,5,7,8},{2},{3,6}}
[8,6,1,3,4,2,5,7]=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,3,5,2,1,6,4,7]=>{{1,8},{2,3,5},{4},{6},{7}}
[2,4,5,7,3,1,8,6]=>{{1,2,4,7,8},{3,5},{6}}
[8,1,2,4,5,6,3,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}
[8,2,5,1,3,6,4,7]=>{{1,8},{2},{3,5},{4},{6},{7}}
[1,7,4,8,6,3,5,2]=>{{1},{2,7},{3,4,8},{5,6}}
[3,7,6,5,8,2,1,4]=>{{1,3,6},{2,7},{4,5,8}}
[2,1,6,5,7,8,3,4]=>{{1,2},{3,6,8},{4,5,7}}
[5,2,7,1,3,8,4,6]=>{{1,5},{2},{3,7},{4},{6,8}}
[5,3,1,7,8,2,4,6]=>{{1,5,8},{2,3},{4,7},{6}}
[3,2,6,1,4,7,8,5]=>{{1,3,6,7,8},{2},{4},{5}}
[5,3,7,2,1,8,4,6]=>{{1,5},{2,3,7},{4},{6,8}}
[4,7,3,2,1,5,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}
[1,7,3,4,2,5,8,6]=>{{1},{2,7,8},{3},{4},{5},{6}}
[4,7,2,1,3,5,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}
[8,7,6,1,3,4,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,3,2,1,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[2,7,4,8,1,6,5,3]=>{{1,2,7},{3,4,8},{5},{6}}
[4,6,8,2,1,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}
[8,5,3,7,1,6,2,4]=>{{1,8},{2,5},{3},{4,7},{6}}
[8,5,7,2,1,3,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[4,6,1,8,7,2,5,3]=>{{1,4,8},{2,6},{3},{5,7}}
[8,1,2,5,6,7,4,3]=>{{1,8},{2},{3},{4,5,6,7}}
[8,2,6,5,7,4,1,3]=>{{1,8},{2},{3,6},{4,5,7}}
[3,2,5,1,6,8,4,7]=>{{1,3,5,6,8},{2},{4},{7}}
[4,2,6,5,3,8,1,7]=>{{1,4,5},{2},{3,6,8},{7}}
[5,3,1,6,8,2,4,7]=>{{1,5,8},{2,3},{4,6},{7}}
[5,6,2,8,1,3,4,7]=>{{1,5},{2,6},{3},{4,8},{7}}
[5,4,3,2,7,1,8,6]=>{{1,5,7,8},{2,4},{3},{6}}
[2,8,5,7,4,6,1,3]=>{{1,2,8},{3,5},{4,7},{6}}
[4,3,7,1,8,6,5,2]=>{{1,4},{2,3,7},{5,8},{6}}
[7,5,3,1,8,6,4,2]=>{{1,7},{2,5,8},{3},{4},{6}}
[6,5,2,1,7,3,8,4]=>{{1,6},{2,5,7,8},{3},{4}}
[6,1,7,4,2,8,3,5]=>{{1,6,8},{2},{3,7},{4},{5}}
[6,7,2,1,8,3,4,5]=>{{1,6},{2,7},{3},{4},{5,8}}
[7,5,8,2,1,3,4,6]=>{{1,7},{2,5},{3,8},{4},{6}}
[5,7,3,1,8,2,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}
[4,7,1,5,2,8,3,6]=>{{1,4,5},{2,7},{3},{6,8}}
[2,4,8,6,3,7,5,1]=>{{1,2,4,6,7},{3,8},{5}}
[7,3,6,2,4,1,8,5]=>{{1,7,8},{2,3,6},{4},{5}}
[3,5,2,7,1,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}
[4,3,7,8,2,1,5,6]=>{{1,4,8},{2,3,7},{5},{6}}
[8,3,7,1,4,6,2,5]=>{{1,8},{2,3,7},{4},{5},{6}}
[3,8,2,5,7,1,6,4]=>{{1,3},{2,8},{4,5,7},{6}}
[4,2,6,8,1,7,5,3]=>{{1,4,8},{2},{3,6,7},{5}}
[5,4,8,2,7,1,6,3]=>{{1,5,7},{2,4},{3,8},{6}}
[5,8,3,7,1,6,2,4]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,7,2,6,1,3,4]=>{{1,5,6},{2,8},{3,7},{4}}
[6,4,8,1,7,2,5,3]=>{{1,6},{2,4},{3,8},{5,7}}
[5,1,6,8,2,7,4,3]=>{{1,5},{2},{3,6,7},{4,8}}
[6,5,2,8,1,7,4,3]=>{{1,6,7},{2,5},{3},{4,8}}
[5,2,7,1,8,6,4,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[4,1,3,2,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}
[6,3,5,1,2,4,8,7]=>{{1,6},{2,3,5},{4},{7,8}}
[3,5,2,6,4,1,8,7]=>{{1,3},{2,5},{4,6},{7,8}}
[6,1,2,4,5,3,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}
[5,6,3,2,1,4,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}
[2,1,6,3,5,4,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}
[5,1,4,6,8,2,7,3]=>{{1,5,8},{2},{3,4,6},{7}}
[4,1,6,3,8,5,7,2]=>{{1,4},{2},{3,6},{5,8},{7}}
[2,1,5,7,4,8,6,3]=>{{1,2},{3,5},{4,7},{6,8}}
[3,1,8,2,7,6,5,4]=>{{1,3,8},{2},{4},{5,7},{6}}
[2,3,8,1,6,7,5,4]=>{{1,2,3,8},{4},{5,6,7}}
[2,8,1,3,6,5,7,4]=>{{1,2,8},{3},{4},{5,6},{7}}
[8,1,2,3,5,6,7,4]=>{{1,8},{2},{3},{4},{5},{6},{7}}
[7,8,2,4,3,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,8,3,2,4,1,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}
[2,1,8,3,4,6,7,5]=>{{1,2},{3,8},{4},{5},{6},{7}}
[2,1,7,8,5,4,3,6]=>{{1,2},{3,7},{4,8},{5},{6}}
[5,7,3,8,1,4,2,6]=>{{1,5},{2,7},{3},{4,8},{6}}
[7,1,8,4,5,3,2,6]=>{{1,7},{2},{3,8},{4},{5},{6}}
[8,7,1,6,3,4,2,5]=>{{1,8},{2,7},{3},{4,6},{5}}
[7,3,5,8,2,4,1,6]=>{{1,7},{2,3,5},{4,8},{6}}
[2,3,4,1,8,5,7,6]=>{{1,2,3,4},{5,8},{6},{7}}
[4,1,3,2,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,1,4,3,8,5,7,6]=>{{1,2},{3,4},{5,8},{6},{7}}
[4,1,3,2,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}
[8,3,5,6,2,7,1,4]=>{{1,8},{2,3,5},{4,6,7}}
[5,3,6,1,8,7,2,4]=>{{1,5,8},{2,3,6,7},{4}}
[7,8,5,6,1,4,2,3]=>{{1,7},{2,8},{3,5},{4,6}}
[5,8,3,6,1,7,2,4]=>{{1,5},{2,8},{3},{4,6,7}}
[2,1,8,6,5,7,3,4]=>{{1,2},{3,8},{4,6,7},{5}}
[7,1,4,2,5,6,8,3]=>{{1,7,8},{2},{3,4},{5},{6}}
[2,7,4,1,6,5,8,3]=>{{1,2,7,8},{3,4},{5,6}}
[4,5,2,6,3,1,8,7]=>{{1,4,6},{2,5},{3},{7,8}}
[6,3,1,5,2,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}
[5,4,3,6,1,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}}
[5,1,7,3,8,4,6,2]=>{{1,5,8},{2},{3,7},{4},{6}}
[5,6,3,7,4,8,1,2]=>{{1,5},{2,6,8},{3},{4,7}}
[2,8,6,3,1,5,7,4]=>{{1,2,8},{3,6},{4},{5},{7}}
[2,8,4,1,6,3,7,5]=>{{1,2,8},{3,4},{5,6},{7}}
[6,8,3,5,2,7,4,1]=>{{1,6,7},{2,8},{3},{4,5}}
[2,1,8,5,3,7,4,6]=>{{1,2},{3,8},{4,5},{6,7}}
[2,4,1,8,7,6,5,3]=>{{1,2,4,8},{3},{5,7},{6}}
[4,1,2,8,7,5,6,3]=>{{1,4,8},{2},{3},{5,7},{6}}
[3,1,4,8,6,5,7,2]=>{{1,3,4,8},{2},{5,6},{7}}
[7,3,5,4,8,6,1,2]=>{{1,7},{2,3,5,8},{4},{6}}
[6,4,3,5,8,1,7,2]=>{{1,6},{2,4,5,8},{3},{7}}
[2,1,7,6,5,8,3,4]=>{{1,2},{3,7},{4,6,8},{5}}
[5,7,3,6,1,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}
[2,7,6,4,5,8,1,3]=>{{1,2,7},{3,6,8},{4},{5}}
[3,7,5,6,8,4,2,1]=>{{1,3,5,8},{2,7},{4,6}}
[5,7,1,6,8,2,4,3]=>{{1,5,8},{2,7},{3},{4,6}}
[7,5,2,6,3,8,1,4]=>{{1,7},{2,5},{3},{4,6,8}}
[4,1,2,3,6,8,7,5]=>{{1,4},{2},{3},{5,6,8},{7}}
[2,4,3,1,8,5,6,7]=>{{1,2,4},{3},{5,8},{6},{7}}
[7,5,2,8,3,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}
[4,7,2,8,1,5,3,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[5,7,8,6,3,4,1,2]=>{{1,5},{2,7},{3,8},{4,6}}
[5,7,3,8,1,4,6,2]=>{{1,5},{2,7},{3},{4,8},{6}}
[2,1,7,8,5,4,6,3]=>{{1,2},{3,7},{4,8},{5},{6}}
[7,5,8,4,3,6,2,1]=>{{1,7},{2,5},{3,8},{4},{6}}
[2,4,8,3,5,6,1,7]=>{{1,2,4},{3,8},{5},{6},{7}}
[4,1,8,3,6,5,2,7]=>{{1,4},{2},{3,8},{5,6},{7}}
[7,8,2,1,6,5,3,4]=>{{1,7},{2,8},{3},{4},{5,6}}
[4,3,8,1,7,2,5,6]=>{{1,4},{2,3,8},{5,7},{6}}
[7,8,1,4,6,2,5,3]=>{{1,7},{2,8},{3},{4},{5,6}}
[7,8,3,5,4,2,1,6]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,4,1,2,3,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}
[2,1,8,7,5,4,3,6]=>{{1,2},{3,8},{4,7},{5},{6}}
[3,6,8,4,7,5,1,2]=>{{1,3,8},{2,6},{4},{5,7}}
[4,5,6,7,2,8,1,3]=>{{1,4,7},{2,5},{3,6,8}}
[4,5,7,6,1,8,3,2]=>{{1,4,6,8},{2,5},{3,7}}
[1,5,8,6,2,7,3,4]=>{{1},{2,5},{3,8},{4,6,7}}
[5,1,6,3,4,2,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}
[5,7,1,4,2,3,8,6]=>{{1,5},{2,7,8},{3},{4},{6}}
[5,7,6,4,3,8,1,2]=>{{1,5},{2,7},{3,6,8},{4}}
[6,3,4,5,8,7,1,2]=>{{1,6,7},{2,3,4,5,8}}
[6,2,4,1,8,3,7,5]=>{{1,6},{2},{3,4},{5,8},{7}}
[6,2,3,5,4,8,1,7]=>{{1,6,8},{2},{3},{4,5},{7}}
[5,8,7,6,3,4,1,2]=>{{1,5},{2,8},{3,7},{4,6}}
[4,2,7,8,1,6,3,5]=>{{1,4,8},{2},{3,7},{5},{6}}
[2,1,8,7,6,5,3,4]=>{{1,2},{3,8},{4,7},{5,6}}
[7,6,1,2,5,8,3,4]=>{{1,7},{2,6,8},{3},{4},{5}}
[4,7,2,8,1,3,6,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[7,3,8,6,1,2,5,4]=>{{1,7},{2,3,8},{4,6},{5}}
[1,8,2,7,3,4,5,6]=>{{1},{2,8},{3},{4,7},{5},{6}}
[1,6,2,8,3,5,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}
[2,8,4,1,6,5,3,7]=>{{1,2,8},{3,4},{5,6},{7}}
[2,8,4,1,5,6,7,3]=>{{1,2,8},{3,4},{5},{6},{7}}
[2,8,7,4,1,6,3,5]=>{{1,2,8},{3,7},{4},{5},{6}}
[2,8,5,3,4,1,6,7]=>{{1,2,8},{3,5},{4},{6},{7}}
[2,8,7,6,1,4,5,3]=>{{1,2,8},{3,7},{4,6},{5}}
[2,8,6,5,7,3,1,4]=>{{1,2,8},{3,6},{4,5,7}}
[6,2,3,8,5,1,7,4]=>{{1,6},{2},{3},{4,8},{5},{7}}
[6,3,2,8,5,1,4,7]=>{{1,6},{2,3},{4,8},{5},{7}}
[6,4,8,5,1,3,7,2]=>{{1,6},{2,4,5},{3,8},{7}}
[3,4,1,2,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}
[4,3,2,1,8,6,5,7]=>{{1,4},{2,3},{5,8},{6},{7}}
[4,2,1,3,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}
[7,1,6,8,4,3,5,2]=>{{1,7},{2},{3,6},{4,8},{5}}
[6,1,2,8,4,5,7,3]=>{{1,6},{2},{3},{4,8},{5},{7}}
[5,6,8,2,3,1,7,4]=>{{1,5},{2,6},{3,8},{4},{7}}
[6,5,8,2,4,3,1,7]=>{{1,6},{2,5},{3,8},{4},{7}}
[7,5,3,8,2,4,1,6]=>{{1,7},{2,5},{3},{4,8},{6}}
[5,2,1,8,7,6,3,4]=>{{1,5,7},{2},{3},{4,8},{6}}
[5,7,8,4,3,6,2,1]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,1,8,3,5,6,7,2]=>{{1,4},{2},{3,8},{5},{6},{7}}
[4,1,8,3,6,2,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}
[2,3,4,8,6,1,7,5]=>{{1,2,3,4,8},{5,6},{7}}
[2,3,4,8,6,5,1,7]=>{{1,2,3,4,8},{5,6},{7}}
[7,3,5,6,8,4,2,1]=>{{1,7},{2,3,5,8},{4,6}}
[6,3,5,1,8,2,7,4]=>{{1,6},{2,3,5,8},{4},{7}}
[5,7,1,6,3,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}
[3,2,4,1,7,8,5,6]=>{{1,3,4},{2},{5,7},{6,8}}
[2,5,4,6,1,7,8,3]=>{{1,2,5},{3,4,6,7,8}}
[7,2,1,4,3,6,5,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}
[7,3,4,1,2,6,5,8]=>{{1,7},{2,3,4},{5},{6},{8}}
[7,4,3,2,1,6,5,8]=>{{1,7},{2,4},{3},{5},{6},{8}}
[6,7,3,2,5,4,8,1]=>{{1,6},{2,7,8},{3},{4},{5}}
[1,8,3,2,5,4,7,6]=>{{1},{2,8},{3},{4},{5},{6},{7}}
[1,8,4,5,2,3,7,6]=>{{1},{2,8},{3,4,5},{6},{7}}
[7,3,5,1,6,2,4,8]=>{{1,7},{2,3,5,6},{4},{8}}
[7,2,1,5,6,3,4,8]=>{{1,7},{2},{3},{4,5,6},{8}}
[2,3,8,1,5,4,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}
[2,4,8,5,1,3,7,6]=>{{1,2,4,5},{3,8},{6},{7}}
[2,7,8,4,3,6,5,1]=>{{1,2,7},{3,8},{4},{5},{6}}
[2,7,8,5,6,3,4,1]=>{{1,2,7},{3,8},{4,5,6}}
[2,5,8,6,7,1,3,4]=>{{1,2,5,7},{3,8},{4,6}}
[2,4,8,6,1,7,3,5]=>{{1,2,4,6,7},{3,8},{5}}
[5,3,7,1,6,8,4,2]=>{{1,5,6,8},{2,3,7},{4}}
[5,4,7,6,1,8,3,2]=>{{1,5},{2,4,6,8},{3,7}}
[4,5,7,6,8,1,3,2]=>{{1,4,6},{2,5,8},{3,7}}
[1,8,5,6,7,2,3,4]=>{{1},{2,8},{3,5,7},{4,6}}
[4,6,5,7,8,2,1,3]=>{{1,4,7},{2,6},{3,5,8}}
[5,4,6,7,1,8,2,3]=>{{1,5},{2,4,7},{3,6,8}}
[5,3,6,1,7,8,2,4]=>{{1,5,7},{2,3,6,8},{4}}
[5,2,1,6,7,8,3,4]=>{{1,5,7},{2},{3},{4,6,8}}
[6,2,1,5,7,3,8,4]=>{{1,6},{2},{3},{4,5,7,8}}
[6,3,5,1,7,2,8,4]=>{{1,6},{2,3,5,7,8},{4}}
[6,4,5,7,1,2,8,3]=>{{1,6},{2,4,7,8},{3,5}}
[5,6,4,7,2,8,1,3]=>{{1,5},{2,6,8},{3,4,7}}
[1,8,4,6,2,7,3,5]=>{{1},{2,8},{3,4,6,7},{5}}
[1,8,3,2,6,7,4,5]=>{{1},{2,8},{3},{4},{5,6,7}}
[6,5,3,2,7,1,8,4]=>{{1,6},{2,5,7,8},{3},{4}}
[6,4,3,2,1,7,8,5]=>{{1,6,7,8},{2,4},{3},{5}}
[6,2,1,4,3,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}
[4,5,3,2,8,1,7,6]=>{{1,4},{2,5,8},{3},{6},{7}}
[1,8,3,2,7,6,5,4]=>{{1},{2,8},{3},{4},{5,7},{6}}
[1,8,4,7,2,6,5,3]=>{{1},{2,8},{3,4,7},{5},{6}}
[3,6,4,8,2,7,1,5]=>{{1,3,4,8},{2,6,7},{5}}
[3,4,5,8,1,2,7,6]=>{{1,3,5},{2,4,8},{6},{7}}
[3,4,6,8,1,7,2,5]=>{{1,3,6,7},{2,4,8},{5}}
[3,5,6,8,7,1,2,4]=>{{1,3,6},{2,5,7},{4,8}}
[3,6,5,8,7,2,1,4]=>{{1,3,5,7},{2,6},{4,8}}
[3,5,7,8,6,1,4,2]=>{{1,3,7},{2,5,6},{4,8}}
[4,2,1,7,8,6,5,3]=>{{1,4,7},{2},{3},{5,8},{6}}
[2,3,8,1,7,6,5,4]=>{{1,2,3,8},{4},{5,7},{6}}
[2,4,8,7,1,6,5,3]=>{{1,2,4,7},{3,8},{5},{6}}
[8,1,6,7,3,2,5,4]=>{{1,8},{2},{3,6},{4,7},{5}}
[8,1,6,7,2,3,4,5]=>{{1,8},{2},{3,6},{4,7},{5}}
[8,1,4,3,2,7,6,5]=>{{1,8},{2},{3,4},{5},{6,7}}
[8,1,5,3,7,2,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}
[3,7,8,5,6,2,1,4]=>{{1,3,8},{2,7},{4,5,6}}
[3,7,8,4,2,6,1,5]=>{{1,3,8},{2,7},{4},{5},{6}}
[3,5,4,2,8,7,1,6]=>{{1,3,4},{2,5,8},{6,7}}
[5,4,2,3,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}
[6,5,3,1,8,2,7,4]=>{{1,6},{2,5,8},{3},{4},{7}}
[6,5,4,1,8,7,2,3]=>{{1,6,7},{2,5,8},{3,4}}
[7,5,1,4,8,6,2,3]=>{{1,7},{2,5,8},{3},{4},{6}}
[7,4,1,3,2,8,6,5]=>{{1,7},{2,4},{3},{5},{6,8}}
[6,4,2,1,3,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}
[2,6,4,8,3,7,5,1]=>{{1,2,6,7},{3,4,8},{5}}
[2,6,5,8,7,3,4,1]=>{{1,2,6},{3,5,7},{4,8}}
[7,5,1,2,8,3,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}
[7,6,1,8,2,3,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}
[7,6,1,8,4,5,2,3]=>{{1,7},{2,6},{3},{4,8},{5}}
[6,7,8,1,4,5,2,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,3,2,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[2,5,6,7,8,3,4,1]=>{{1,2,5,8},{3,6},{4,7}}
[2,4,6,7,3,8,5,1]=>{{1,2,4,7},{3,6,8},{5}}
[4,7,8,3,2,1,6,5]=>{{1,4},{2,7},{3,8},{5},{6}}
[5,7,8,3,1,2,6,4]=>{{1,5},{2,7},{3,8},{4},{6}}
[5,7,8,4,1,6,2,3]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,6,3,8,2,1,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}
[5,3,6,7,1,2,8,4]=>{{1,5},{2,3,6},{4,7,8}}
[3,5,6,7,8,2,1,4]=>{{1,3,6},{2,5,8},{4,7}}
[3,4,6,7,2,8,1,5]=>{{1,3,6,8},{2,4,7},{5}}
[7,4,6,1,8,3,5,2]=>{{1,7},{2,4},{3,6},{5,8}}
[7,3,5,1,8,4,6,2]=>{{1,7},{2,3,5,8},{4},{6}}
[7,3,4,1,8,5,6,2]=>{{1,7},{2,3,4},{5,8},{6}}
[4,5,7,3,1,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}
[3,6,7,5,1,8,4,2]=>{{1,3,7},{2,6,8},{4,5}}
[7,5,6,1,8,3,4,2]=>{{1,7},{2,5,8},{3,6},{4}}
[4,5,7,1,3,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}
[7,6,1,5,8,3,2,4]=>{{1,7},{2,6},{3},{4,5,8}}
[3,6,7,1,5,8,2,4]=>{{1,3,7},{2,6,8},{4},{5}}
[7,1,6,5,8,2,4,3]=>{{1,7},{2},{3,6},{4,5,8}}
[7,5,1,6,8,4,2,3]=>{{1,7},{2,5,8},{3},{4,6}}
[5,2,3,1,8,6,7,4]=>{{1,5,8},{2},{3},{4},{6},{7}}
[6,2,4,1,8,5,7,3]=>{{1,6},{2},{3,4},{5,8},{7}}
[6,2,5,1,8,4,7,3]=>{{1,6},{2},{3,5,8},{4},{7}}
[7,1,6,4,8,2,5,3]=>{{1,7},{2},{3,6},{4},{5,8}}
[7,1,5,3,8,2,6,4]=>{{1,7},{2},{3,5,8},{4},{6}}
[6,1,5,2,8,3,7,4]=>{{1,6},{2},{3,5,8},{4},{7}}
[6,1,4,2,8,3,7,5]=>{{1,6},{2},{3,4},{5,8},{7}}
[7,1,4,3,8,2,6,5]=>{{1,7},{2},{3,4},{5,8},{6}}
[5,1,3,2,8,4,7,6]=>{{1,5,8},{2},{3},{4},{6},{7}}
[7,1,3,5,8,2,4,6]=>{{1,7},{2},{3},{4,5,8},{6}}
[7,8,5,6,1,3,4,2]=>{{1,7},{2,8},{3,5},{4,6}}
[7,8,4,2,5,1,3,6]=>{{1,7},{2,8},{3,4},{5},{6}}
[7,8,1,5,4,6,3,2]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,2,1,6,3,4,5]=>{{1,7},{2,8},{3},{4},{5,6}}
[7,8,3,5,6,4,1,2]=>{{1,7},{2,8},{3},{4,5,6}}
[2,6,4,8,3,7,1,5]=>{{1,2,6,7},{3,4,8},{5}}
[2,1,8,4,7,3,6,5]=>{{1,2},{3,8},{4},{5,7},{6}}
[3,5,8,4,7,6,1,2]=>{{1,3,8},{2,5,7},{4},{6}}
[6,4,7,3,5,8,1,2]=>{{1,6,8},{2,4},{3,7},{5}}
[3,5,6,7,8,1,4,2]=>{{1,3,6},{2,5,8},{4,7}}
[3,6,5,7,8,2,1,4]=>{{1,3,5,8},{2,6},{4,7}}
[2,1,6,8,4,5,3,7]=>{{1,2},{3,6},{4,8},{5},{7}}
[2,7,1,8,5,3,4,6]=>{{1,2,7},{3},{4,8},{5},{6}}
[3,7,6,8,5,4,1,2]=>{{1,3,6},{2,7},{4,8},{5}}
[4,3,8,5,6,7,1,2]=>{{1,4,5,6,7},{2,3,8}}
[4,2,8,1,6,3,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}
[3,1,8,5,4,6,7,2]=>{{1,3,8},{2},{4,5},{6},{7}}
[5,7,8,6,1,3,4,2]=>{{1,5},{2,7},{3,8},{4,6}}
[3,6,4,5,8,7,1,2]=>{{1,3,4,5,8},{2,6,7}}
[7,5,2,4,3,1,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}
[6,8,1,3,7,5,4,2]=>{{1,6},{2,8},{3},{4},{5,7}}
[7,4,2,6,5,1,3,8]=>{{1,7},{2,4,6},{3},{5},{8}}
[7,4,6,3,1,5,2,8]=>{{1,7},{2,4},{3,6},{5},{8}}
[2,5,7,8,1,4,6,3]=>{{1,2,5},{3,7},{4,8},{6}}
[4,1,2,8,5,6,7,3]=>{{1,4,8},{2},{3},{5},{6},{7}}
[5,3,8,7,6,2,4,1]=>{{1,5,6},{2,3,8},{4,7}}
[5,8,4,7,6,2,1,3]=>{{1,5,6},{2,8},{3,4,7}}
[5,8,7,4,3,6,1,2]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,4,8,3,1,7,2,5]=>{{1,6,7},{2,4},{3,8},{5}}
[6,4,2,8,7,1,3,5]=>{{1,6},{2,4,8},{3},{5,7}}
[6,3,8,7,2,5,1,4]=>{{1,6},{2,3,8},{4,7},{5}}
[6,3,1,8,7,2,4,5]=>{{1,6},{2,3},{4,8},{5,7}}
[5,1,8,4,6,2,7,3]=>{{1,5,6},{2},{3,8},{4},{7}}
[5,8,7,4,1,6,2,3]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,8,5,2,4,3,7,1]=>{{1,6},{2,8},{3,5},{4},{7}}
[6,8,5,3,1,2,7,4]=>{{1,6},{2,8},{3,5},{4},{7}}
[4,2,6,1,7,3,5,8]=>{{1,4},{2},{3,6},{5,7},{8}}
[4,2,5,6,1,8,7,3]=>{{1,4,6,8},{2},{3,5},{7}}
[2,1,7,5,8,6,4,3]=>{{1,2},{3,7},{4,5,8},{6}}
[1,2,7,5,3,8,6,4]=>{{1},{2},{3,7},{4,5},{6,8}}
[4,1,2,7,3,8,6,5]=>{{1,4,7},{2},{3},{5},{6,8}}
[7,1,4,2,5,3,8,6]=>{{1,7,8},{2},{3,4},{5},{6}}
[3,1,2,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}
[3,2,7,8,1,6,5,4]=>{{1,3,7},{2},{4,8},{5},{6}}
[2,4,1,7,8,6,5,3]=>{{1,2,4,7},{3},{5,8},{6}}
[6,4,7,5,2,8,1,3]=>{{1,6,8},{2,4,5},{3,7}}
[5,7,4,6,2,8,1,3]=>{{1,5},{2,7},{3,4,6,8}}
[4,8,3,1,7,2,5,6]=>{{1,4},{2,8},{3},{5,7},{6}}
[5,2,8,4,7,1,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,8,4,7,3,1,6,2]=>{{1,5},{2,8},{3,4,7},{6}}
[4,6,8,3,1,7,5,2]=>{{1,4},{2,6,7},{3,8},{5}}
[6,3,8,2,7,1,5,4]=>{{1,6},{2,3,8},{4},{5,7}}
[3,5,1,8,2,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}
[7,5,1,3,6,2,4,8]=>{{1,7},{2,5,6},{3},{4},{8}}
[4,1,6,2,8,3,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}
[1,6,2,8,5,3,7,4]=>{{1},{2,6},{3},{4,8},{5},{7}}
[6,8,5,3,1,7,4,2]=>{{1,6,7},{2,8},{3,5},{4}}
[5,6,7,3,1,8,4,2]=>{{1,5},{2,6,8},{3,7},{4}}
[5,6,2,1,7,8,4,3]=>{{1,5,7},{2,6,8},{3},{4}}
[5,6,3,7,1,2,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}
[6,4,7,2,8,1,5,3]=>{{1,6},{2,4},{3,7},{5,8}}
[6,7,4,8,3,1,5,2]=>{{1,6},{2,7},{3,4,8},{5}}
[5,7,3,8,2,6,1,4]=>{{1,5},{2,7},{3},{4,8},{6}}
[3,4,7,8,2,6,1,5]=>{{1,3,7},{2,4,8},{5},{6}}
[3,8,2,4,6,7,1,5]=>{{1,3},{2,8},{4},{5,6,7}}
[8,1,7,2,6,3,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}
[4,8,2,7,1,6,5,3]=>{{1,4,7},{2,8},{3},{5},{6}}
[5,8,7,2,1,6,4,3]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,7,8,1,3,4,5,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,8,2,1,4,6,3]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,7,2,8,1,5,6,3]=>{{1,4,8},{2,7},{3},{5},{6}}
[3,2,7,8,1,5,6,4]=>{{1,3,7},{2},{4,8},{5},{6}}
[3,2,6,8,4,1,7,5]=>{{1,3,6},{2},{4,8},{5},{7}}
[4,6,2,8,3,1,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}
[6,4,3,8,2,1,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}
[5,4,3,2,8,1,7,6]=>{{1,5,8},{2,4},{3},{6},{7}}
[4,5,2,3,8,1,7,6]=>{{1,4},{2,5,8},{3},{6},{7}}
[3,2,5,4,8,1,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}
[6,4,3,1,5,2,7,8]=>{{1,6},{2,4},{3},{5},{7},{8}}
[4,6,2,1,5,3,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}
[5,8,7,3,4,1,2,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,7,3,8,5,1,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,4,5,1,8,3,2]=>{{1,6,8},{2,7},{3,4,5}}
[5,4,7,6,2,3,8,1]=>{{1,5},{2,4,6},{3,7,8}}
[4,3,8,7,6,1,2,5]=>{{1,4,7},{2,3,8},{5,6}}
[4,8,3,7,5,1,2,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[4,5,6,7,1,8,3,2]=>{{1,4,7},{2,5},{3,6,8}}
[3,5,6,2,7,4,8,1]=>{{1,3,6},{2,5,7,8},{4}}
[3,5,6,1,7,8,4,2]=>{{1,3,6,8},{2,5,7},{4}}
[8,1,3,2,5,4,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,4,1,6,8,7,5,3]=>{{1,2,4,6,7},{3},{5,8}}
[4,3,1,7,6,8,5,2]=>{{1,4,7},{2,3},{5,6,8}}
[3,8,2,1,7,5,4,6]=>{{1,3},{2,8},{4},{5,7},{6}}
[8,3,2,1,6,5,4,7]=>{{1,8},{2,3},{4},{5,6},{7}}
[8,4,2,6,1,5,3,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[4,2,8,7,1,6,3,5]=>{{1,4,7},{2},{3,8},{5},{6}}
[5,3,7,2,6,4,8,1]=>{{1,5,6},{2,3,7,8},{4}}
[6,7,3,1,5,8,4,2]=>{{1,6,8},{2,7},{3},{4},{5}}
[6,7,2,1,8,5,4,3]=>{{1,6},{2,7},{3},{4},{5,8}}
[6,7,2,8,1,5,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,8,2,1,4,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,5,6,2,1,4,3,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[5,8,7,1,2,3,4,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[4,8,1,7,2,3,5,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[3,1,8,2,7,4,6,5]=>{{1,3,8},{2},{4},{5,7},{6}}
[3,1,2,8,7,5,6,4]=>{{1,3},{2},{4,8},{5,7},{6}}
[2,1,8,3,4,7,6,5]=>{{1,2},{3,8},{4},{5},{6,7}}
[3,4,7,1,8,6,5,2]=>{{1,3,7},{2,4},{5,8},{6}}
[3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}
[3,6,2,7,4,5,8,1]=>{{1,3},{2,6},{4,7,8},{5}}
[4,2,5,7,3,6,8,1]=>{{1,4,7,8},{2},{3,5},{6}}
[4,8,1,3,7,2,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}
[7,6,1,8,4,3,2,5]=>{{1,7},{2,6},{3},{4,8},{5}}
[7,1,2,8,3,5,4,6]=>{{1,7},{2},{3},{4,8},{5},{6}}
[4,2,5,7,1,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}
[3,6,2,7,1,8,4,5]=>{{1,3},{2,6,8},{4,7},{5}}
[6,3,7,2,1,8,4,5]=>{{1,6,8},{2,3,7},{4},{5}}
[1,5,3,4,6,8,2,7]=>{{1},{2,5,6,8},{3},{4},{7}}
[4,3,5,1,6,8,2,7]=>{{1,4},{2,3,5,6,8},{7}}
[6,5,1,8,7,4,2,3]=>{{1,6},{2,5,7},{3},{4,8}}
[4,7,1,8,6,5,2,3]=>{{1,4,8},{2,7},{3},{5,6}}
[6,7,4,8,3,5,1,2]=>{{1,6},{2,7},{3,4,8},{5}}
[6,7,4,5,2,8,1,3]=>{{1,6,8},{2,7},{3,4,5}}
[5,7,4,6,2,3,1,8]=>{{1,5},{2,7},{3,4,6},{8}}
[5,7,4,6,3,8,1,2]=>{{1,5},{2,7},{3,4,6,8}}
[5,7,4,8,3,6,1,2]=>{{1,5},{2,7},{3,4,8},{6}}
[6,8,4,5,3,7,1,2]=>{{1,6,7},{2,8},{3,4,5}}
[5,8,4,6,3,7,1,2]=>{{1,5},{2,8},{3,4,6,7}}
[5,6,4,8,2,7,1,3]=>{{1,5},{2,6,7},{3,4,8}}
[5,8,4,6,2,7,1,3]=>{{1,5},{2,8},{3,4,6,7}}
[6,8,4,5,2,7,1,3]=>{{1,6,7},{2,8},{3,4,5}}
[7,8,4,5,2,6,1,3]=>{{1,7},{2,8},{3,4,5},{6}}
[6,8,4,5,2,3,1,7]=>{{1,6},{2,8},{3,4,5},{7}}
[5,8,4,6,2,3,1,7]=>{{1,5},{2,8},{3,4,6},{7}}
[4,8,3,6,2,5,1,7]=>{{1,4,6},{2,8},{3},{5},{7}}
[5,8,3,6,2,4,1,7]=>{{1,5},{2,8},{3},{4,6},{7}}
[6,8,3,5,2,4,1,7]=>{{1,6},{2,8},{3},{4,5},{7}}
[7,8,3,5,2,4,1,6]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,3,5,2,6,1,4]=>{{1,7},{2,8},{3},{4,5},{6}}
[6,8,3,5,2,7,1,4]=>{{1,6,7},{2,8},{3},{4,5}}
[5,8,3,6,2,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}
[4,8,3,6,2,7,1,5]=>{{1,4,6,7},{2,8},{3},{5}}
[4,6,3,7,2,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[4,7,3,6,2,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}
[4,7,3,6,2,8,1,5]=>{{1,4,6,8},{2,7},{3},{5}}
[4,7,3,8,2,6,1,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[5,7,4,8,2,6,1,3]=>{{1,5},{2,7},{3,4,8},{6}}
[5,7,3,6,2,8,1,4]=>{{1,5},{2,7},{3},{4,6,8}}
[5,7,3,6,2,4,1,8]=>{{1,5},{2,7},{3},{4,6},{8}}
[6,7,3,5,2,4,1,8]=>{{1,6},{2,7},{3},{4,5},{8}}
[6,7,3,5,2,8,1,4]=>{{1,6,8},{2,7},{3},{4,5}}
[6,7,3,8,2,5,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,4,8,2,5,1,3]=>{{1,6},{2,7},{3,4,8},{5}}
[6,7,5,8,2,4,1,3]=>{{1,6},{2,7},{3,5},{4,8}}
[6,8,5,7,2,3,1,4]=>{{1,6},{2,8},{3,5},{4,7}}
[6,7,4,8,2,3,1,5]=>{{1,6},{2,7},{3,4,8},{5}}
[6,7,3,8,2,4,1,5]=>{{1,6},{2,7},{3},{4,8},{5}}
[5,7,3,8,2,4,1,6]=>{{1,5},{2,7},{3},{4,8},{6}}
[5,7,4,8,2,3,1,6]=>{{1,5},{2,7},{3,4,8},{6}}
[5,8,4,7,2,3,1,6]=>{{1,5},{2,8},{3,4,7},{6}}
[6,8,4,7,2,3,1,5]=>{{1,6},{2,8},{3,4,7},{5}}
[7,8,4,6,2,3,1,5]=>{{1,7},{2,8},{3,4,6},{5}}
[7,8,3,6,2,4,1,5]=>{{1,7},{2,8},{3},{4,6},{5}}
[6,8,3,7,2,4,1,5]=>{{1,6},{2,8},{3},{4,7},{5}}
[5,8,3,7,2,4,1,6]=>{{1,5},{2,8},{3},{4,7},{6}}
[4,8,3,7,2,5,1,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[4,7,3,8,2,5,1,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[7,4,5,3,1,8,2,6]=>{{1,7},{2,4},{3,5},{6,8}}
[6,4,8,1,7,5,2,3]=>{{1,6},{2,4},{3,8},{5,7}}
[6,4,7,1,8,2,5,3]=>{{1,6},{2,4},{3,7},{5,8}}
[8,4,7,3,6,2,5,1]=>{{1,8},{2,4},{3,7},{5,6}}
[5,7,8,6,2,3,1,4]=>{{1,5},{2,7},{3,8},{4,6}}
[5,8,7,6,3,2,1,4]=>{{1,5},{2,8},{3,7},{4,6}}
[6,8,4,2,7,5,1,3]=>{{1,6},{2,8},{3,4},{5,7}}
[5,7,4,2,3,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}
[5,8,6,7,3,1,2,4]=>{{1,5},{2,8},{3,6},{4,7}}
[6,7,5,8,1,3,4,2]=>{{1,6},{2,7},{3,5},{4,8}}
[7,4,6,3,8,1,2,5]=>{{1,7},{2,4},{3,6},{5,8}}
[7,5,6,8,1,4,2,3]=>{{1,7},{2,5},{3,6},{4,8}}
[4,1,7,3,6,5,8,2]=>{{1,4},{2},{3,7,8},{5,6}}
[5,1,8,4,7,6,2,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[6,1,4,5,3,7,8,2]=>{{1,6,7,8},{2},{3,4,5}}
[5,1,7,8,6,2,4,3]=>{{1,5,6},{2},{3,7},{4,8}}
[5,6,2,1,4,8,3,7]=>{{1,5},{2,6,8},{3},{4},{7}}
[8,5,2,7,3,1,6,4]=>{{1,8},{2,5},{3},{4,7},{6}}
[2,3,8,5,6,1,7,4]=>{{1,2,3,8},{4,5,6},{7}}
[7,4,5,6,3,1,8,2]=>{{1,7,8},{2,4,6},{3,5}}
[7,5,3,6,2,8,1,4]=>{{1,7},{2,5},{3},{4,6,8}}
[8,7,5,4,1,6,2,3]=>{{1,8},{2,7},{3,5},{4},{6}}
[2,6,4,1,8,5,7,3]=>{{1,2,6},{3,4},{5,8},{7}}
[6,1,2,3,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}
[7,1,2,3,6,5,8,4]=>{{1,7,8},{2},{3},{4},{5,6}}
[8,7,2,6,3,4,1,5]=>{{1,8},{2,7},{3},{4,6},{5}}
[4,8,1,6,3,2,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}
[3,5,8,7,2,4,1,6]=>{{1,3,8},{2,5},{4,7},{6}}
[5,2,7,8,6,4,1,3]=>{{1,5,6},{2},{3,7},{4,8}}
[1,4,2,7,8,6,3,5]=>{{1},{2,4,7},{3},{5,8},{6}}
[7,8,3,6,5,2,1,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[4,7,2,8,6,1,5,3]=>{{1,4,8},{2,7},{3},{5,6}}
[6,2,7,3,5,1,8,4]=>{{1,6},{2},{3,7,8},{4},{5}}
[7,2,5,1,8,3,4,6]=>{{1,7},{2},{3,5,8},{4},{6}}
[7,5,4,2,6,8,1,3]=>{{1,7},{2,5,6,8},{3,4}}
[1,8,7,4,3,2,5,6]=>{{1},{2,8},{3,7},{4},{5},{6}}
[5,8,4,7,2,1,6,3]=>{{1,5},{2,8},{3,4,7},{6}}
[1,8,7,5,4,3,6,2]=>{{1},{2,8},{3,7},{4,5},{6}}
[1,6,8,4,3,7,5,2]=>{{1},{2,6,7},{3,8},{4},{5}}
[6,8,7,3,2,5,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}
[5,3,8,1,2,7,4,6]=>{{1,5},{2,3,8},{4},{6,7}}
[1,4,6,2,8,3,7,5]=>{{1},{2,4},{3,6},{5,8},{7}}
[5,2,6,7,8,4,1,3]=>{{1,5,8},{2},{3,6},{4,7}}
[6,7,3,8,5,2,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[4,6,2,7,8,1,5,3]=>{{1,4,7},{2,6},{3},{5,8}}
[1,6,4,7,8,3,5,2]=>{{1},{2,6},{3,4,7},{5,8}}
[4,5,7,2,1,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}
[7,8,3,4,2,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,4,6,1,5,2,3]=>{{1,7},{2,8},{3,4,6},{5}}
[7,8,1,6,4,5,2,3]=>{{1,7},{2,8},{3},{4,6},{5}}
[6,8,1,7,4,5,2,3]=>{{1,6},{2,8},{3},{4,7},{5}}
[1,8,6,7,4,5,2,3]=>{{1},{2,8},{3,6},{4,7},{5}}
[1,8,6,7,3,5,2,4]=>{{1},{2,8},{3,6},{4,7},{5}}
[6,8,1,7,3,5,2,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[7,8,1,6,3,5,2,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,3,6,1,5,2,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,3,6,4,5,1,2]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,2,6,4,5,1,3]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,2,6,3,5,1,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[6,8,2,7,1,5,3,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,2,7,3,5,1,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,2,7,4,5,1,3]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,3,7,4,5,1,2]=>{{1,6},{2,8},{3},{4,7},{5}}
[3,8,6,7,4,5,1,2]=>{{1,3,6},{2,8},{4,7},{5}}
[2,8,6,7,4,5,1,3]=>{{1,2,8},{3,6},{4,7},{5}}
[2,8,6,7,3,5,1,4]=>{{1,2,8},{3,6},{4,7},{5}}
[2,8,4,7,3,6,1,5]=>{{1,2,8},{3,4,7},{5},{6}}
[2,8,5,7,3,6,1,4]=>{{1,2,8},{3,5},{4,7},{6}}
[3,8,5,7,4,6,1,2]=>{{1,3,5},{2,8},{4,7},{6}}
[5,8,3,7,4,6,1,2]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,2,7,4,6,1,3]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,2,7,3,6,1,4]=>{{1,5},{2,8},{3},{4,7},{6}}
[4,8,2,7,3,6,1,5]=>{{1,4,7},{2,8},{3},{5},{6}}
[1,8,4,7,3,6,2,5]=>{{1},{2,8},{3,4,7},{5},{6}}
[4,8,1,7,3,6,2,5]=>{{1,4,7},{2,8},{3},{5},{6}}
[4,8,3,7,1,6,2,5]=>{{1,4,7},{2,8},{3},{5},{6}}
[6,8,3,7,1,5,2,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[5,8,1,7,3,6,2,4]=>{{1,5},{2,8},{3},{4,7},{6}}
[1,8,5,7,3,6,2,4]=>{{1},{2,8},{3,5},{4,7},{6}}
[1,8,5,7,4,6,2,3]=>{{1},{2,8},{3,5},{4,7},{6}}
[5,8,1,7,4,6,2,3]=>{{1,5},{2,8},{3},{4,7},{6}}
[5,8,4,7,1,6,2,3]=>{{1,5},{2,8},{3,4,7},{6}}
[6,8,4,7,1,5,2,3]=>{{1,6},{2,8},{3,4,7},{5}}
[6,8,5,7,1,4,2,3]=>{{1,6},{2,8},{3,5},{4,7}}
[5,8,6,7,3,4,1,2]=>{{1,5},{2,8},{3,6},{4,7}}
[5,8,6,7,2,4,1,3]=>{{1,5},{2,8},{3,6},{4,7}}
[5,8,6,7,1,4,2,3]=>{{1,5},{2,8},{3,6},{4,7}}
[4,8,6,7,1,5,2,3]=>{{1,4,7},{2,8},{3,6},{5}}
[4,8,5,7,1,6,2,3]=>{{1,4,7},{2,8},{3,5},{6}}
[3,8,5,7,1,6,2,4]=>{{1,3,5},{2,8},{4,7},{6}}
[3,8,6,7,1,5,2,4]=>{{1,3,6},{2,8},{4,7},{5}}
[3,8,6,7,2,5,1,4]=>{{1,3,6},{2,8},{4,7},{5}}
[4,8,6,7,2,5,1,3]=>{{1,4,7},{2,8},{3,6},{5}}
[4,8,6,7,3,5,1,2]=>{{1,4,7},{2,8},{3,6},{5}}
[4,8,5,7,3,6,1,2]=>{{1,4,7},{2,8},{3,5},{6}}
[4,8,5,7,2,6,1,3]=>{{1,4,7},{2,8},{3,5},{6}}
[3,8,5,7,2,6,1,4]=>{{1,3,5},{2,8},{4,7},{6}}
[3,8,4,7,2,6,1,5]=>{{1,3,4,7},{2,8},{5},{6}}
[3,8,4,7,1,6,2,5]=>{{1,3,4,7},{2,8},{5},{6}}
[7,5,2,8,6,4,1,3]=>{{1,7},{2,5,6},{3},{4,8}}
[7,3,8,6,2,5,1,4]=>{{1,7},{2,3,8},{4,6},{5}}
[7,4,2,8,6,1,3,5]=>{{1,7},{2,4,8},{3},{5,6}}
[6,8,1,7,2,3,4,5]=>{{1,6},{2,8},{3},{4,7},{5}}
[2,5,4,1,3,7,8,6]=>{{1,2,5},{3,4},{6,7,8}}
[5,3,8,2,4,7,1,6]=>{{1,5},{2,3,8},{4},{6,7}}
[5,4,3,8,1,2,7,6]=>{{1,5},{2,4,8},{3},{6},{7}}
[6,4,3,1,2,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}
[6,4,2,8,1,3,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}
[6,3,8,2,5,1,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}
[1,5,7,3,6,8,4,2]=>{{1},{2,5,6,8},{3,7},{4}}
[6,5,3,1,4,2,8,7]=>{{1,6},{2,5},{3},{4},{7,8}}
[4,3,1,5,7,2,6,8]=>{{1,4,5,7},{2,3},{6},{8}}
[4,2,6,5,8,3,7,1]=>{{1,4,5,8},{2},{3,6},{7}}
[6,7,8,1,4,3,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[4,7,1,5,8,3,2,6]=>{{1,4,5,8},{2,7},{3},{6}}
[8,3,1,5,4,7,2,6]=>{{1,8},{2,3},{4,5},{6,7}}
[8,2,6,1,4,3,7,5]=>{{1,8},{2},{3,6},{4},{5},{7}}
[3,7,6,1,4,8,2,5]=>{{1,3,6,8},{2,7},{4},{5}}
[8,7,6,5,2,1,4,3]=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,5,4,6,1,2]=>{{1,3,7},{2,8},{4,5},{6}}
[4,3,6,7,8,5,1,2]=>{{1,4,7},{2,3,6},{5,8}}
[6,5,2,1,4,7,8,3]=>{{1,6,7,8},{2,5},{3},{4}}
[2,1,6,4,8,7,5,3]=>{{1,2},{3,6,7},{4},{5,8}}
[7,6,1,8,3,2,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}
[1,8,7,6,4,3,2,5]=>{{1},{2,8},{3,7},{4,6},{5}}
[2,1,7,5,6,3,8,4]=>{{1,2},{3,7,8},{4,5,6}}
[3,1,6,7,5,8,2,4]=>{{1,3,6,8},{2},{4,7},{5}}
[7,8,1,6,5,3,2,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,2,1,4,5,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,2,6,1,8,5,7,3]=>{{1,4},{2},{3,6},{5,8},{7}}
[2,8,1,5,4,6,7,3]=>{{1,2,8},{3},{4,5},{6},{7}}
[4,6,3,8,1,2,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}
[4,3,7,1,2,5,8,6]=>{{1,4},{2,3,7,8},{5},{6}}
[7,8,1,3,4,2,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,6,3,5,4,8,1,2]=>{{1,7},{2,6,8},{3},{4,5}}
[4,5,6,3,8,7,1,2]=>{{1,4},{2,5,8},{3,6,7}}
[5,8,7,1,2,4,3,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[1,5,7,8,2,4,6,3]=>{{1},{2,5},{3,7},{4,8},{6}}
[7,6,5,1,4,3,2,8]=>{{1,7},{2,6},{3,5},{4},{8}}
[2,6,4,5,1,3,8,7]=>{{1,2,6},{3,4,5},{7,8}}
[3,5,6,4,1,8,2,7]=>{{1,3,6,8},{2,5},{4},{7}}
[7,8,5,4,1,3,2,6]=>{{1,7},{2,8},{3,5},{4},{6}}
[7,8,2,3,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,2,6,3,8,1,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}
[7,2,3,5,4,1,8,6]=>{{1,7,8},{2},{3},{4,5},{6}}
[5,2,7,1,8,4,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[7,8,5,1,6,4,2,3]=>{{1,7},{2,8},{3,5,6},{4}}
[5,2,4,7,3,6,8,1]=>{{1,5},{2},{3,4,7,8},{6}}
[7,1,6,5,8,3,2,4]=>{{1,7},{2},{3,6},{4,5,8}}
[2,8,1,7,4,3,6,5]=>{{1,2,8},{3},{4,7},{5},{6}}
[5,1,2,4,8,3,6,7]=>{{1,5,8},{2},{3},{4},{6},{7}}
[4,1,3,2,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,2,1,4,8,5,6,7]=>{{1,3},{2},{4},{5,8},{6},{7}}
[4,3,6,1,5,8,2,7]=>{{1,4},{2,3,6,8},{5},{7}}
[2,6,1,4,5,8,3,7]=>{{1,2,6,8},{3},{4},{5},{7}}
[5,4,3,2,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}
[2,5,3,4,1,8,6,7]=>{{1,2,5},{3},{4},{6,8},{7}}
[4,3,5,2,1,8,6,7]=>{{1,4},{2,3,5},{6,8},{7}}
[4,6,2,1,3,8,5,7]=>{{1,4},{2,6,8},{3},{5},{7}}
[2,6,1,4,8,3,5,7]=>{{1,2,6},{3},{4},{5,8},{7}}
[4,2,1,6,8,3,5,7]=>{{1,4,6},{2},{3},{5,8},{7}}
[2,8,6,1,4,3,5,7]=>{{1,2,8},{3,6},{4},{5},{7}}
[6,1,5,2,4,3,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}
[6,1,3,2,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}
[5,4,7,6,8,1,3,2]=>{{1,5,8},{2,4,6},{3,7}}
[7,1,6,5,8,3,4,2]=>{{1,7},{2},{3,6},{4,5,8}}
[8,1,7,2,4,3,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,1,3,2,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,1,8,3,7,4,6,5]=>{{1,2},{3,8},{4},{5,7},{6}}
[2,1,8,3,5,4,7,6]=>{{1,2},{3,8},{4},{5},{6},{7}}
[8,1,3,2,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}
[8,1,5,2,4,3,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}
[3,2,8,1,7,4,6,5]=>{{1,3,8},{2},{4},{5,7},{6}}
[3,2,4,1,8,5,7,6]=>{{1,3,4},{2},{5,8},{6},{7}}
[4,1,3,2,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}
[7,6,8,1,3,2,5,4]=>{{1,7},{2,6},{3,8},{4},{5}}
[6,1,8,4,7,2,5,3]=>{{1,6},{2},{3,8},{4},{5,7}}
[6,5,8,1,3,2,7,4]=>{{1,6},{2,5},{3,8},{4},{7}}
[3,2,1,5,8,4,6,7]=>{{1,3},{2},{4,5,8},{6},{7}}
[1,8,4,2,5,3,6,7]=>{{1},{2,8},{3,4},{5},{6},{7}}
[8,1,5,3,2,4,6,7]=>{{1,8},{2},{3,5},{4},{6},{7}}
[3,8,1,5,2,4,6,7]=>{{1,3},{2,8},{4,5},{6},{7}}
[1,4,3,8,7,5,6,2]=>{{1},{2,4,8},{3},{5,7},{6}}
[7,1,6,8,4,3,2,5]=>{{1,7},{2},{3,6},{4,8},{5}}
[1,6,7,2,8,4,3,5]=>{{1},{2,6},{3,7},{4},{5,8}}
[6,7,1,4,2,8,3,5]=>{{1,6,8},{2,7},{3},{4},{5}}
[6,3,7,1,4,8,2,5]=>{{1,6,8},{2,3,7},{4},{5}}
[3,7,8,1,5,2,4,6]=>{{1,3,8},{2,7},{4},{5},{6}}
[7,1,2,8,5,3,4,6]=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,7,2,8,4,5,3,6]=>{{1},{2,7},{3},{4,8},{5},{6}}
[1,2,7,5,8,3,4,6]=>{{1},{2},{3,7},{4,5,8},{6}}
[8,7,1,3,6,2,4,5]=>{{1,8},{2,7},{3},{4},{5,6}}
[2,7,8,4,1,6,5,3]=>{{1,2,7},{3,8},{4},{5},{6}}
[2,8,4,1,6,7,5,3]=>{{1,2,8},{3,4},{5,6,7}}
[2,1,8,4,7,5,6,3]=>{{1,2},{3,8},{4},{5,7},{6}}
[8,7,6,5,1,4,2,3]=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,5,7,2,4,1,6]=>{{1,8},{2,3,5},{4,7},{6}}
[6,5,3,1,2,4,8,7]=>{{1,6},{2,5},{3},{4},{7,8}}
[8,1,4,7,3,6,2,5]=>{{1,8},{2},{3,4,7},{5},{6}}
[8,5,3,7,1,4,2,6]=>{{1,8},{2,5},{3},{4,7},{6}}
[4,8,3,7,1,2,6,5]=>{{1,4,7},{2,8},{3},{5},{6}}
[8,7,1,4,2,6,3,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,6,3,1,2,4,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}
[2,1,8,7,5,3,4,6]=>{{1,2},{3,8},{4,7},{5},{6}}
[8,1,7,4,5,2,3,6]=>{{1,8},{2},{3,7},{4},{5},{6}}
[6,3,1,4,2,8,5,7]=>{{1,6,8},{2,3},{4},{5},{7}}
[7,2,5,1,4,3,8,6]=>{{1,7,8},{2},{3,5},{4},{6}}
[3,6,2,7,1,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}
[6,4,3,2,1,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}
[2,5,7,4,8,1,3,6]=>{{1,2,5,8},{3,7},{4},{6}}
[4,3,6,7,8,1,2,5]=>{{1,4,7},{2,3,6},{5,8}}
[5,4,6,7,2,8,1,3]=>{{1,5},{2,4,7},{3,6,8}}
[4,6,3,7,1,8,2,5]=>{{1,4,7},{2,6,8},{3},{5}}
[3,5,7,1,4,8,2,6]=>{{1,3,7},{2,5},{4},{6,8}}
[8,1,5,2,7,4,6,3]=>{{1,8},{2},{3,5,7},{4},{6}}
[5,3,1,7,2,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}
[5,3,6,4,7,8,1,2]=>{{1,5,7},{2,3,6,8},{4}}
[4,6,8,2,7,1,5,3]=>{{1,4},{2,6},{3,8},{5,7}}
[7,5,8,3,1,2,6,4]=>{{1,7},{2,5},{3,8},{4},{6}}
[7,5,3,8,4,1,6,2]=>{{1,7},{2,5},{3},{4,8},{6}}
[7,5,3,8,1,6,2,4]=>{{1,7},{2,5},{3},{4,8},{6}}
[7,5,3,8,1,4,2,6]=>{{1,7},{2,5},{3},{4,8},{6}}
[7,5,3,8,6,1,2,4]=>{{1,7},{2,5,6},{3},{4,8}}
[7,5,3,6,1,8,2,4]=>{{1,7},{2,5},{3},{4,6,8}}
[3,6,8,2,5,7,1,4]=>{{1,3,8},{2,6,7},{4},{5}}
[3,5,7,2,4,6,1,8]=>{{1,3,7},{2,5},{4},{6},{8}}
[5,3,1,6,4,2,8,7]=>{{1,5},{2,3},{4,6},{7,8}}
[1,3,8,5,4,2,7,6]=>{{1},{2,3,8},{4,5},{6},{7}}
[3,1,2,7,6,4,8,5]=>{{1,3},{2},{4,7,8},{5,6}}
[6,3,7,4,8,5,1,2]=>{{1,6},{2,3,7},{4},{5,8}}
[6,4,2,7,3,5,1,8]=>{{1,6},{2,4,7},{3},{5},{8}}
[3,7,2,8,6,1,4,5]=>{{1,3},{2,7},{4,8},{5,6}}
[8,5,1,2,7,3,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}
[6,1,8,2,3,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}
[4,3,1,2,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}
[8,7,2,4,5,3,1,6]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,5,7,4,6,1,3,2]=>{{1,8},{2,5,6},{3,7},{4}}
[5,7,1,2,8,6,3,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[1,8,5,7,4,3,2,6]=>{{1},{2,8},{3,5},{4,7},{6}}
[1,6,8,5,4,3,2,7]=>{{1},{2,6},{3,8},{4,5},{7}}
[7,1,5,8,4,3,2,6]=>{{1,7},{2},{3,5},{4,8},{6}}
[7,1,2,5,8,3,6,4]=>{{1,7},{2},{3},{4,5,8},{6}}
[2,7,1,4,8,3,5,6]=>{{1,2,7},{3},{4},{5,8},{6}}
[3,6,7,1,4,8,5,2]=>{{1,3,7},{2,6,8},{4},{5}}
[5,6,7,8,1,3,4,2]=>{{1,5},{2,6},{3,7},{4,8}}
[5,7,8,6,1,2,3,4]=>{{1,5},{2,7},{3,8},{4,6}}
[2,4,6,1,7,5,8,3]=>{{1,2,4},{3,6},{5,7,8}}
[4,2,1,5,6,3,7,8]=>{{1,4,5,6},{2},{3},{7},{8}}
[5,8,1,6,4,3,2,7]=>{{1,5},{2,8},{3},{4,6},{7}}
[5,8,1,6,3,7,2,4]=>{{1,5},{2,8},{3},{4,6,7}}
[4,6,3,8,5,1,7,2]=>{{1,4,8},{2,6},{3},{5},{7}}
[3,6,4,8,1,7,2,5]=>{{1,3,4,8},{2,6,7},{5}}
[6,7,5,8,2,1,4,3]=>{{1,6},{2,7},{3,5},{4,8}}
[7,4,5,3,8,2,1,6]=>{{1,7},{2,4},{3,5,8},{6}}
[1,4,3,7,2,6,5,8]=>{{1},{2,4,7},{3},{5},{6},{8}}
[1,6,5,2,3,8,4,7]=>{{1},{2,6,8},{3,5},{4},{7}}
[7,3,5,4,8,1,6,2]=>{{1,7},{2,3,5,8},{4},{6}}
[5,6,8,4,3,1,7,2]=>{{1,5},{2,6},{3,8},{4},{7}}
[4,2,6,1,8,3,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}
[5,6,3,8,4,7,1,2]=>{{1,5},{2,6,7},{3},{4,8}}
[5,6,2,7,3,4,1,8]=>{{1,5},{2,6},{3},{4,7},{8}}
[4,5,2,3,1,8,6,7]=>{{1,4},{2,5},{3},{6,8},{7}}
[5,6,2,3,1,8,4,7]=>{{1,5},{2,6,8},{3},{4},{7}}
[1,8,3,6,5,7,2,4]=>{{1},{2,8},{3},{4,6,7},{5}}
[1,6,4,7,3,8,2,5]=>{{1},{2,6,8},{3,4,7},{5}}
[6,7,1,8,2,5,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,1,8,4,5,2,3]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,3,4,1,8,2,5]=>{{1,6,8},{2,7},{3},{4},{5}}
[2,3,1,8,6,7,4,5]=>{{1,2,3},{4,8},{5,6,7}}
[2,8,1,7,3,5,4,6]=>{{1,2,8},{3},{4,7},{5},{6}}
[4,5,1,7,3,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}
[3,8,1,5,2,7,4,6]=>{{1,3},{2,8},{4,5},{6,7}}
[7,8,3,4,1,6,2,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[2,5,4,1,6,3,8,7]=>{{1,2,5,6},{3,4},{7,8}}
[3,6,5,1,2,4,8,7]=>{{1,3,5},{2,6},{4},{7,8}}
[5,6,7,8,1,4,3,2]=>{{1,5},{2,6},{3,7},{4,8}}
[2,4,1,5,8,3,7,6]=>{{1,2,4,5,8},{3},{6},{7}}
[2,1,5,8,7,3,4,6]=>{{1,2},{3,5,7},{4,8},{6}}
[8,5,7,3,6,1,4,2]=>{{1,8},{2,5,6},{3,7},{4}}
[6,8,7,2,5,3,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}
[7,8,4,2,5,1,6,3]=>{{1,7},{2,8},{3,4},{5},{6}}
[6,1,2,3,7,5,8,4]=>{{1,6},{2},{3},{4},{5,7,8}}
[4,1,2,3,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}
[3,2,4,1,8,5,6,7]=>{{1,3,4},{2},{5,8},{6},{7}}
[8,2,3,1,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}
[4,7,1,2,5,3,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}
[1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}}
[1,2,4,5,8,3,7,6]=>{{1},{2},{3,4,5,8},{6},{7}}
[4,8,1,5,2,3,7,6]=>{{1,4,5},{2,8},{3},{6},{7}}
[2,4,6,3,7,1,8,5]=>{{1,2,4},{3,6},{5,7,8}}
[6,7,8,1,5,2,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,8,4,1,2,6,3]=>{{1,5},{2,7},{3,8},{4},{6}}
[6,5,4,1,2,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,6,7,8,1,3,2]=>{{1,4,7},{2,5,8},{3,6}}
[4,5,3,2,8,1,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}
[4,6,3,8,2,1,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[4,7,8,3,2,1,5,6]=>{{1,4},{2,7},{3,8},{5},{6}}
[5,7,8,3,1,4,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[8,1,5,3,4,2,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}
[6,3,2,1,5,7,4,8]=>{{1,6,7},{2,3},{4},{5},{8}}
[5,3,7,2,4,8,1,6]=>{{1,5},{2,3,7},{4},{6,8}}
[8,4,6,1,7,3,5,2]=>{{1,8},{2,4},{3,6},{5,7}}
[1,7,4,5,2,8,3,6]=>{{1},{2,7},{3,4,5},{6,8}}
[5,7,3,8,2,1,4,6]=>{{1,5},{2,7},{3},{4,8},{6}}
[5,8,4,2,7,1,6,3]=>{{1,5,7},{2,8},{3,4},{6}}
[8,5,3,1,7,2,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}
[1,4,6,8,2,7,5,3]=>{{1},{2,4,8},{3,6,7},{5}}
[4,8,7,3,2,1,6,5]=>{{1,4},{2,8},{3,7},{5},{6}}
[6,4,3,7,2,1,8,5]=>{{1,6},{2,4,7,8},{3},{5}}
[4,8,3,6,2,1,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}
[5,4,2,6,7,1,3,8]=>{{1,5,7},{2,4,6},{3},{8}}
[5,8,3,6,1,4,7,2]=>{{1,5},{2,8},{3},{4,6},{7}}
[5,8,4,2,1,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}
[6,3,7,2,1,4,5,8]=>{{1,6},{2,3,7},{4},{5},{8}}
[2,8,7,6,1,4,3,5]=>{{1,2,8},{3,7},{4,6},{5}}
[6,5,3,1,8,4,7,2]=>{{1,6},{2,5,8},{3},{4},{7}}
[6,4,2,1,5,8,3,7]=>{{1,6,8},{2,4},{3},{5},{7}}
[4,5,8,1,7,2,3,6]=>{{1,4},{2,5,7},{3,8},{6}}
[7,3,1,8,6,2,4,5]=>{{1,7},{2,3},{4,8},{5,6}}
[3,1,7,2,5,4,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}
[7,3,8,4,5,1,6,2]=>{{1,7},{2,3,8},{4},{5},{6}}
[8,3,7,4,6,1,5,2]=>{{1,8},{2,3,7},{4},{5,6}}
[8,2,7,1,6,4,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,1,2,6,5,4,3,7]=>{{1,8},{2},{3},{4,6},{5},{7}}
[8,2,7,5,6,1,4,3]=>{{1,8},{2},{3,7},{4,5,6}}
[8,6,7,2,3,1,5,4]=>{{1,8},{2,6},{3,7},{4},{5}}
[7,8,1,5,2,6,3,4]=>{{1,7},{2,8},{3},{4,5},{6}}
[6,3,4,2,1,7,8,5]=>{{1,6,7,8},{2,3,4},{5}}
[4,2,1,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}
[2,3,4,1,8,6,5,7]=>{{1,2,3,4},{5,8},{6},{7}}
[3,4,6,7,1,8,5,2]=>{{1,3,6,8},{2,4,7},{5}}
[3,5,2,7,4,8,6,1]=>{{1,3},{2,5},{4,7},{6,8}}
[3,5,6,2,7,8,1,4]=>{{1,3,6,8},{2,5,7},{4}}
[3,6,2,7,4,8,5,1]=>{{1,3},{2,6,8},{4,7},{5}}
[3,6,2,7,8,5,4,1]=>{{1,3},{2,6},{4,7},{5,8}}
[4,1,5,7,8,2,6,3]=>{{1,4,7},{2},{3,5,8},{6}}
[4,1,5,8,3,2,6,7]=>{{1,4,8},{2},{3,5},{6},{7}}
[4,1,7,3,8,5,6,2]=>{{1,4},{2},{3,7},{5,8},{6}}
[4,5,2,7,3,8,6,1]=>{{1,4,7},{2,5},{3},{6,8}}
[4,5,7,3,2,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}
[4,6,2,8,3,5,1,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[5,1,6,3,7,8,2,4]=>{{1,5,7},{2},{3,6,8},{4}}
[5,6,2,7,4,8,1,3]=>{{1,5},{2,6,8},{3},{4,7}}
[7,1,2,3,8,5,6,4]=>{{1,7},{2},{3},{4},{5,8},{6}}
[2,4,6,1,8,5,7,3]=>{{1,2,4},{3,6},{5,8},{7}}
[5,8,1,6,2,4,3,7]=>{{1,5},{2,8},{3},{4,6},{7}}
[3,5,1,8,2,4,7,6]=>{{1,3},{2,5},{4,8},{6},{7}}
[7,1,8,6,3,4,5,2]=>{{1,7},{2},{3,8},{4,6},{5}}
[2,4,8,1,5,6,7,3]=>{{1,2,4},{3,8},{5},{6},{7}}
[8,3,1,6,5,2,4,7]=>{{1,8},{2,3},{4,6},{5},{7}}
[5,8,7,4,2,6,1,3]=>{{1,5},{2,8},{3,7},{4},{6}}
[5,1,8,4,7,6,3,2]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,8,7,4,1,6,3,2]=>{{1,5},{2,8},{3,7},{4},{6}}
[5,2,8,4,1,6,7,3]=>{{1,5},{2},{3,8},{4},{6},{7}}
[5,3,6,2,4,8,1,7]=>{{1,5},{2,3,6,8},{4},{7}}
[2,6,5,8,1,3,4,7]=>{{1,2,6},{3,5},{4,8},{7}}
[3,4,6,5,7,1,8,2]=>{{1,3,6},{2,4,5,7,8}}
[7,5,8,2,4,6,1,3]=>{{1,7},{2,5},{3,8},{4},{6}}
[8,3,2,5,7,6,1,4]=>{{1,8},{2,3},{4,5,7},{6}}
[5,6,7,3,8,4,2,1]=>{{1,5,8},{2,6},{3,7},{4}}
[4,3,5,6,7,1,8,2]=>{{1,4,6},{2,3,5,7,8}}
[6,5,8,7,2,1,3,4]=>{{1,6},{2,5},{3,8},{4,7}}
[2,1,4,6,8,5,7,3]=>{{1,2},{3,4,6},{5,8},{7}}
[1,2,8,5,4,3,6,7]=>{{1},{2},{3,8},{4,5},{6},{7}}
[8,1,7,2,6,4,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,3,7,1,6,4,5,2]=>{{1,8},{2,3,7},{4},{5,6}}
[8,4,7,1,6,3,5,2]=>{{1,8},{2,4},{3,7},{5,6}}
[8,5,7,1,6,3,4,2]=>{{1,8},{2,5,6},{3,7},{4}}
[8,6,7,1,5,3,4,2]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,6,7,2,5,3,4,1]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,5,7,2,6,3,4,1]=>{{1,8},{2,5,6},{3,7},{4}}
[8,4,7,2,6,3,5,1]=>{{1,8},{2,4},{3,7},{5,6}}
[8,3,7,2,6,4,5,1]=>{{1,8},{2,3,7},{4},{5,6}}
[8,2,7,3,6,4,5,1]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,1,7,3,6,4,5,2]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,1,7,4,6,3,5,2]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,2,7,4,6,3,5,1]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,3,7,4,6,2,5,1]=>{{1,8},{2,3,7},{4},{5,6}}
[8,5,7,3,6,2,4,1]=>{{1,8},{2,5,6},{3,7},{4}}
[8,6,7,3,5,2,4,1]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,5,7,4,6,2,3,1]=>{{1,8},{2,5,6},{3,7},{4}}
[8,4,7,5,6,2,3,1]=>{{1,8},{2,4,5,6},{3,7}}
[8,3,7,5,6,2,4,1]=>{{1,8},{2,3,7},{4,5,6}}
[8,2,7,5,6,3,4,1]=>{{1,8},{2},{3,7},{4,5,6}}
[8,1,7,5,6,3,4,2]=>{{1,8},{2},{3,7},{4,5,6}}
[8,7,6,5,4,1,3,2]=>{{1,8},{2,7},{3,6},{4,5}}
[8,1,7,5,6,2,4,3]=>{{1,8},{2},{3,7},{4,5,6}}
[8,3,7,5,6,1,4,2]=>{{1,8},{2,3,7},{4,5,6}}
[8,4,7,5,6,1,3,2]=>{{1,8},{2,4,5,6},{3,7}}
[8,6,7,4,5,1,3,2]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,6,7,3,5,1,4,2]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,4,7,3,6,1,5,2]=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,7,4,6,1,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,1,7,4,6,2,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,1,7,3,6,2,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,2,7,3,6,1,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}
[8,3,7,2,6,1,5,4]=>{{1,8},{2,3,7},{4},{5,6}}
[8,4,7,2,6,1,5,3]=>{{1,8},{2,4},{3,7},{5,6}}
[8,5,7,2,6,1,4,3]=>{{1,8},{2,5,6},{3,7},{4}}
[8,6,7,2,5,1,4,3]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,6,7,1,5,2,4,3]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,5,7,1,6,2,4,3]=>{{1,8},{2,5,6},{3,7},{4}}
[8,4,7,1,6,2,5,3]=>{{1,8},{2,4},{3,7},{5,6}}
[8,3,7,1,6,2,5,4]=>{{1,8},{2,3,7},{4},{5,6}}
[8,2,7,1,6,3,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}
[4,6,7,3,8,5,2,1]=>{{1,4},{2,6},{3,7},{5,8}}
[1,6,2,4,8,3,5,7]=>{{1},{2,6},{3},{4},{5,8},{7}}
[1,5,2,3,8,4,7,6]=>{{1},{2,5,8},{3},{4},{6},{7}}
[4,7,1,3,2,8,6,5]=>{{1,4},{2,7},{3},{5},{6,8}}
[4,3,2,1,5,8,6,7]=>{{1,4},{2,3},{5},{6,8},{7}}
[3,4,6,1,5,8,2,7]=>{{1,3,6,8},{2,4},{5},{7}}
[2,4,8,3,6,1,7,5]=>{{1,2,4},{3,8},{5,6},{7}}
[3,7,6,5,1,4,8,2]=>{{1,3,6},{2,7,8},{4,5}}
[2,7,6,5,3,8,1,4]=>{{1,2,7},{3,6,8},{4,5}}
[1,2,6,3,4,8,7,5]=>{{1},{2},{3,6,8},{4},{5},{7}}
[5,3,6,1,4,7,8,2]=>{{1,5},{2,3,6,7,8},{4}}
[6,1,4,2,8,3,5,7]=>{{1,6},{2},{3,4},{5,8},{7}}
[7,4,1,5,8,2,3,6]=>{{1,7},{2,4,5,8},{3},{6}}
[2,7,6,3,4,5,8,1]=>{{1,2,7,8},{3,6},{4},{5}}
[4,5,8,7,2,6,3,1]=>{{1,4,7},{2,5},{3,8},{6}}
[3,2,1,6,4,8,5,7]=>{{1,3},{2},{4,6,8},{5},{7}}
[7,3,2,4,8,6,1,5]=>{{1,7},{2,3},{4},{5,8},{6}}
[5,7,3,8,2,4,6,1]=>{{1,5},{2,7},{3},{4,8},{6}}
[4,7,2,5,1,3,8,6]=>{{1,4,5},{2,7,8},{3},{6}}
[5,1,7,4,8,6,3,2]=>{{1,5,8},{2},{3,7},{4},{6}}
[5,2,6,4,1,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}
[6,3,2,1,4,8,7,5]=>{{1,6,8},{2,3},{4},{5},{7}}
[1,5,7,4,8,6,3,2]=>{{1},{2,5,8},{3,7},{4},{6}}
[7,3,8,1,4,2,6,5]=>{{1,7},{2,3,8},{4},{5},{6}}
[3,8,7,4,2,6,1,5]=>{{1,3,7},{2,8},{4},{5},{6}}
[3,7,8,1,2,6,5,4]=>{{1,3,8},{2,7},{4},{5},{6}}
[3,5,6,2,7,1,4,8]=>{{1,3,6},{2,5,7},{4},{8}}
[3,7,1,6,8,2,4,5]=>{{1,3},{2,7},{4,6},{5,8}}
[7,3,5,2,1,8,4,6]=>{{1,7},{2,3,5},{4},{6,8}}
[6,4,2,8,7,5,1,3]=>{{1,6},{2,4,8},{3},{5,7}}
[3,1,6,8,4,5,7,2]=>{{1,3,6},{2},{4,8},{5},{7}}
[3,7,2,1,8,4,5,6]=>{{1,3},{2,7},{4},{5,8},{6}}
[2,1,5,8,3,6,7,4]=>{{1,2},{3,5},{4,8},{6},{7}}
[4,2,7,1,8,3,6,5]=>{{1,4},{2},{3,7},{5,8},{6}}
[5,8,7,4,3,6,2,1]=>{{1,5},{2,8},{3,7},{4},{6}}
[5,3,8,1,7,6,4,2]=>{{1,5,7},{2,3,8},{4},{6}}
[5,4,8,7,1,6,3,2]=>{{1,5},{2,4,7},{3,8},{6}}
[6,2,1,5,8,3,7,4]=>{{1,6},{2},{3},{4,5,8},{7}}
[6,5,3,2,8,1,7,4]=>{{1,6},{2,5,8},{3},{4},{7}}
[6,4,3,2,1,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}
[6,3,4,1,2,8,7,5]=>{{1,6,8},{2,3,4},{5},{7}}
[4,6,3,2,5,1,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}
[4,3,6,1,5,2,7,8]=>{{1,4},{2,3,6},{5},{7},{8}}
[2,1,5,3,8,4,7,6]=>{{1,2},{3,5,8},{4},{6},{7}}
[3,1,8,2,5,4,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}
[8,1,3,2,6,4,7,5]=>{{1,8},{2},{3},{4},{5,6},{7}}
[3,1,8,2,6,4,7,5]=>{{1,3,8},{2},{4},{5,6},{7}}
[2,1,8,3,6,4,7,5]=>{{1,2},{3,8},{4},{5,6},{7}}
[2,1,6,3,8,4,7,5]=>{{1,2},{3,6},{4},{5,8},{7}}
[2,1,7,3,5,4,8,6]=>{{1,2},{3,7,8},{4},{5},{6}}
[2,1,7,3,6,4,8,5]=>{{1,2},{3,7,8},{4},{5,6}}
[3,1,7,2,8,4,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}
[3,1,6,2,5,4,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}
[7,1,3,2,5,4,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}
[7,1,3,2,6,4,8,5]=>{{1,7,8},{2},{3},{4},{5,6}}
[6,1,4,2,5,3,8,7]=>{{1,6},{2},{3,4},{5},{7,8}}
[4,1,6,2,5,3,8,7]=>{{1,4},{2},{3,6},{5},{7,8}}
[4,1,7,2,5,3,8,6]=>{{1,4},{2},{3,7,8},{5},{6}}
[4,1,7,2,6,3,8,5]=>{{1,4},{2},{3,7,8},{5,6}}
[5,1,7,2,6,3,8,4]=>{{1,5,6},{2},{3,7,8},{4}}
[8,1,5,2,7,3,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}
[8,1,5,2,6,3,7,4]=>{{1,8},{2},{3,5,6},{4},{7}}
[5,1,8,2,6,3,7,4]=>{{1,5,6},{2},{3,8},{4},{7}}
[5,1,6,2,8,3,7,4]=>{{1,5,8},{2},{3,6},{4},{7}}
[3,1,6,2,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}
[4,1,8,2,6,3,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}
[8,1,4,2,6,3,7,5]=>{{1,8},{2},{3,4},{5,6},{7}}
[8,1,4,2,5,3,7,6]=>{{1,8},{2},{3,4},{5},{6},{7}}
[4,1,8,2,5,3,7,6]=>{{1,4},{2},{3,8},{5},{6},{7}}
[4,1,5,2,8,3,7,6]=>{{1,4},{2},{3,5,8},{6},{7}}
[3,1,5,2,8,4,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}
[3,1,4,2,8,5,7,6]=>{{1,3,4},{2},{5,8},{6},{7}}
[4,1,3,2,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}
[5,1,4,2,8,3,7,6]=>{{1,5,8},{2},{3,4},{6},{7}}
[6,1,3,2,8,4,7,5]=>{{1,6},{2},{3},{4},{5,8},{7}}
[6,1,3,2,7,4,8,5]=>{{1,6},{2},{3},{4},{5,7,8}}
[5,1,3,2,7,4,8,6]=>{{1,5,7,8},{2},{3},{4},{6}}
[5,1,3,2,6,4,8,7]=>{{1,5,6},{2},{3},{4},{7,8}}
[5,1,4,2,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}
[6,1,4,2,7,3,8,5]=>{{1,6},{2},{3,4},{5,7,8}}
[6,1,5,2,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}
[6,2,8,1,3,5,4,7]=>{{1,6},{2},{3,8},{4},{5},{7}}
[3,5,2,8,1,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}
[4,1,3,2,6,8,7,5]=>{{1,4},{2},{3},{5,6,8},{7}}
[2,5,4,6,8,1,7,3]=>{{1,2,5,8},{3,4,6},{7}}
[4,2,1,3,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}
[2,4,3,1,8,5,7,6]=>{{1,2,4},{3},{5,8},{6},{7}}
[3,2,4,1,8,6,5,7]=>{{1,3,4},{2},{5,8},{6},{7}}
[7,6,4,3,2,1,8,5]=>{{1,7,8},{2,6},{3,4},{5}}
[7,8,4,3,2,1,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}
[7,6,3,8,2,1,5,4]=>{{1,7},{2,6},{3},{4,8},{5}}
[7,4,8,3,2,1,6,5]=>{{1,7},{2,4},{3,8},{5},{6}}
[4,8,7,2,6,5,1,3]=>{{1,4},{2,8},{3,7},{5,6}}
[4,6,8,2,7,1,3,5]=>{{1,4},{2,6},{3,8},{5,7}}
[6,7,4,2,8,3,1,5]=>{{1,6},{2,7},{3,4},{5,8}}
[7,1,4,2,6,3,5,8]=>{{1,7},{2},{3,4},{5,6},{8}}
[2,3,6,1,4,8,7,5]=>{{1,2,3,6,8},{4},{5},{7}}
[5,6,8,2,4,1,3,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,3,2,1,7,6,8,4]=>{{1,5,7,8},{2,3},{4},{6}}
[5,7,8,3,1,4,6,2]=>{{1,5},{2,7},{3,8},{4},{6}}
[7,4,8,3,2,5,1,6]=>{{1,7},{2,4},{3,8},{5},{6}}
[2,3,4,8,1,6,5,7]=>{{1,2,3,4,8},{5},{6},{7}}
[3,1,6,4,7,8,2,5]=>{{1,3,6,8},{2},{4},{5,7}}
[7,3,1,6,8,2,4,5]=>{{1,7},{2,3},{4,6},{5,8}}
[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,8},{6,7}}
[2,1,8,6,7,3,5,4]=>{{1,2},{3,8},{4,6},{5,7}}
[1,5,2,8,6,3,7,4]=>{{1},{2,5,6},{3},{4,8},{7}}
[5,6,2,7,1,3,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}
[2,1,7,8,6,3,4,5]=>{{1,2},{3,7},{4,8},{5,6}}
[5,2,6,3,4,1,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}
[4,1,2,6,5,3,8,7]=>{{1,4,6},{2},{3},{5},{7,8}}
[2,1,7,4,8,5,6,3]=>{{1,2},{3,7},{4},{5,8},{6}}
[2,1,6,3,4,8,7,5]=>{{1,2},{3,6,8},{4},{5},{7}}
[8,1,4,2,5,6,7,3]=>{{1,8},{2},{3,4},{5},{6},{7}}
[5,8,7,3,6,1,4,2]=>{{1,5,6},{2,8},{3,7},{4}}
[5,8,3,7,6,1,4,2]=>{{1,5,6},{2,8},{3},{4,7}}
[2,4,8,1,3,7,6,5]=>{{1,2,4},{3,8},{5},{6,7}}
[2,5,1,3,8,4,7,6]=>{{1,2,5,8},{3},{4},{6},{7}}
[2,8,1,5,4,7,3,6]=>{{1,2,8},{3},{4,5},{6,7}}
[7,4,5,8,6,2,1,3]=>{{1,7},{2,4,8},{3,5,6}}
[5,1,6,2,8,7,4,3]=>{{1,5,8},{2},{3,6,7},{4}}
[4,5,6,1,8,7,2,3]=>{{1,4},{2,5,8},{3,6,7}}
[3,5,6,8,7,1,4,2]=>{{1,3,6},{2,5,7},{4,8}}
[8,4,2,6,3,1,5,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[4,1,8,5,7,3,6,2]=>{{1,4,5,7},{2},{3,8},{6}}
[4,1,5,8,7,2,3,6]=>{{1,4,8},{2},{3,5,7},{6}}
[3,4,8,7,1,2,6,5]=>{{1,3,8},{2,4,7},{5},{6}}
[6,1,3,8,5,2,4,7]=>{{1,6},{2},{3},{4,8},{5},{7}}
[7,4,2,6,3,5,1,8]=>{{1,7},{2,4,6},{3},{5},{8}}
[3,6,8,4,1,7,5,2]=>{{1,3,8},{2,6,7},{4},{5}}
[8,7,2,3,6,1,4,5]=>{{1,8},{2,7},{3},{4},{5,6}}
[8,1,2,3,6,5,7,4]=>{{1,8},{2},{3},{4},{5,6},{7}}
[1,8,6,7,2,3,4,5]=>{{1},{2,8},{3,6},{4,7},{5}}
[3,2,6,1,5,7,4,8]=>{{1,3,6,7},{2},{4},{5},{8}}
[6,8,5,3,7,1,2,4]=>{{1,6},{2,8},{3,5,7},{4}}
[6,8,3,4,1,5,2,7]=>{{1,6},{2,8},{3},{4},{5},{7}}
[5,8,4,1,7,2,6,3]=>{{1,5,7},{2,8},{3,4},{6}}
[2,4,6,3,5,8,1,7]=>{{1,2,4},{3,6,8},{5},{7}}
[7,5,1,2,8,6,3,4]=>{{1,7},{2,5,8},{3},{4},{6}}
[3,1,8,2,7,6,4,5]=>{{1,3,8},{2},{4},{5,7},{6}}
[3,6,4,7,2,5,1,8]=>{{1,3,4,7},{2,6},{5},{8}}
[7,3,2,8,6,1,4,5]=>{{1,7},{2,3},{4,8},{5,6}}
[4,3,8,7,1,2,5,6]=>{{1,4,7},{2,3,8},{5},{6}}
[2,4,6,1,8,3,7,5]=>{{1,2,4},{3,6},{5,8},{7}}
[3,5,1,7,2,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}
[4,8,7,3,6,5,1,2]=>{{1,4},{2,8},{3,7},{5,6}}
[4,3,8,7,6,5,1,2]=>{{1,4,7},{2,3,8},{5,6}}
[4,1,8,7,6,5,3,2]=>{{1,4,7},{2},{3,8},{5,6}}
[3,2,8,1,7,6,5,4]=>{{1,3,8},{2},{4},{5,7},{6}}
[3,8,2,1,7,6,5,4]=>{{1,3},{2,8},{4},{5,7},{6}}
[3,8,2,7,1,6,5,4]=>{{1,3},{2,8},{4,7},{5},{6}}
[4,8,7,2,6,1,5,3]=>{{1,4},{2,8},{3,7},{5,6}}
[5,8,7,6,2,1,4,3]=>{{1,5},{2,8},{3,7},{4,6}}
[4,3,1,8,7,6,5,2]=>{{1,4,8},{2,3},{5,7},{6}}
[4,2,1,8,7,6,5,3]=>{{1,4,8},{2},{3},{5,7},{6}}
[2,4,6,3,8,1,5,7]=>{{1,2,4},{3,6},{5,8},{7}}
[6,3,8,2,1,4,5,7]=>{{1,6},{2,3,8},{4},{5},{7}}
[3,4,6,8,7,5,1,2]=>{{1,3,6},{2,4,8},{5,7}}
[5,4,6,3,8,7,1,2]=>{{1,5,8},{2,4},{3,6,7}}
[1,8,5,2,6,3,7,4]=>{{1},{2,8},{3,5,6},{4},{7}}
[7,8,1,2,4,6,5,3]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,3,2,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,5,2,8,3,4,1,6]=>{{1,7},{2,5},{3},{4,8},{6}}
[6,5,8,4,2,3,1,7]=>{{1,6},{2,5},{3,8},{4},{7}}
[1,4,6,3,5,8,7,2]=>{{1},{2,4},{3,6,8},{5},{7}}
[6,1,4,8,3,5,7,2]=>{{1,6},{2},{3,4,8},{5},{7}}
[2,6,1,3,8,5,7,4]=>{{1,2,6},{3},{4},{5,8},{7}}
[2,1,6,3,8,5,7,4]=>{{1,2},{3,6},{4},{5,8},{7}}
[4,1,8,3,6,5,7,2]=>{{1,4},{2},{3,8},{5,6},{7}}
[8,7,6,5,1,4,3,2]=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,6,2,1,5]=>{{1,8},{2,7},{3,4},{5,6}}
[1,2,8,3,7,6,5,4]=>{{1},{2},{3,8},{4},{5,7},{6}}
[2,8,5,6,1,7,3,4]=>{{1,2,8},{3,5},{4,6,7}}
[5,4,2,8,6,1,7,3]=>{{1,5,6},{2,4,8},{3},{7}}
[5,4,2,3,8,1,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}
[8,7,4,1,6,2,5,3]=>{{1,8},{2,7},{3,4},{5,6}}
[6,3,7,4,5,8,2,1]=>{{1,6,8},{2,3,7},{4},{5}}
[8,7,1,4,5,3,2,6]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,4,2,6,5,1,3]=>{{1,8},{2,7},{3,4},{5,6}}
[3,6,4,1,2,8,7,5]=>{{1,3,4},{2,6,8},{5},{7}}
[3,6,5,1,8,2,7,4]=>{{1,3,5,8},{2,6},{4},{7}}
[4,6,5,1,8,7,2,3]=>{{1,4},{2,6,7},{3,5,8}}
[5,7,1,4,8,6,2,3]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,7,1,3,8,2,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,1,8,3,2,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[4,7,3,5,2,1,6,8]=>{{1,4,5},{2,7},{3},{6},{8}}
[7,5,1,6,4,2,3,8]=>{{1,7},{2,5},{3},{4,6},{8}}
[8,5,6,1,2,4,3,7]=>{{1,8},{2,5},{3,6},{4},{7}}
[1,2,8,6,3,7,5,4]=>{{1},{2},{3,8},{4,6,7},{5}}
[8,3,5,2,4,1,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}
[5,6,7,2,4,3,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}
[2,3,8,1,5,6,7,4]=>{{1,2,3,8},{4},{5},{6},{7}}
[1,8,6,3,7,2,4,5]=>{{1},{2,8},{3,6},{4},{5,7}}
[5,6,2,7,3,1,8,4]=>{{1,5},{2,6},{3},{4,7,8}}
[6,5,3,4,8,7,1,2]=>{{1,6,7},{2,5,8},{3},{4}}
[5,4,8,1,2,7,3,6]=>{{1,5},{2,4},{3,8},{6,7}}
[6,3,8,1,7,2,4,5]=>{{1,6},{2,3,8},{4},{5,7}}
[7,2,8,6,1,3,4,5]=>{{1,7},{2},{3,8},{4,6},{5}}
[3,2,1,8,7,5,6,4]=>{{1,3},{2},{4,8},{5,7},{6}}
[3,1,6,2,5,8,4,7]=>{{1,3,6,8},{2},{4},{5},{7}}
[6,5,1,3,4,8,2,7]=>{{1,6,8},{2,5},{3},{4},{7}}
[2,3,4,8,1,7,6,5]=>{{1,2,3,4,8},{5},{6,7}}
[6,2,7,8,4,5,1,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[3,1,4,8,7,6,2,5]=>{{1,3,4,8},{2},{5,7},{6}}
[3,2,6,8,5,1,7,4]=>{{1,3,6},{2},{4,8},{5},{7}}
[7,5,1,2,6,8,4,3]=>{{1,7},{2,5,6,8},{3},{4}}
[1,2,5,3,8,7,6,4]=>{{1},{2},{3,5,8},{4},{6,7}}
[2,8,1,5,6,3,7,4]=>{{1,2,8},{3},{4,5,6},{7}}
[2,4,8,7,1,3,5,6]=>{{1,2,4,7},{3,8},{5},{6}}
[8,3,5,7,6,2,1,4]=>{{1,8},{2,3,5,6},{4,7}}
[8,3,2,4,6,1,5,7]=>{{1,8},{2,3},{4},{5,6},{7}}
[5,7,1,8,3,4,6,2]=>{{1,5},{2,7},{3},{4,8},{6}}
[4,8,1,2,7,3,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}
[5,2,8,7,1,3,4,6]=>{{1,5},{2},{3,8},{4,7},{6}}
[5,2,7,4,8,1,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[1,7,6,5,2,4,8,3]=>{{1},{2,7,8},{3,6},{4,5}}
[6,2,3,1,4,8,7,5]=>{{1,6,8},{2},{3},{4},{5},{7}}
[7,4,2,5,8,3,1,6]=>{{1,7},{2,4,5,8},{3},{6}}
[5,6,8,1,4,3,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[7,8,4,1,5,3,2,6]=>{{1,7},{2,8},{3,4},{5},{6}}
[7,8,2,4,6,1,5,3]=>{{1,7},{2,8},{3},{4},{5,6}}
[3,5,1,8,7,2,6,4]=>{{1,3},{2,5,7},{4,8},{6}}
[6,7,8,1,2,5,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,6,4,3,2,1,7,5]=>{{1,8},{2,6},{3,4},{5},{7}}
[8,4,3,2,1,7,6,5]=>{{1,8},{2,4},{3},{5},{6,7}}
[3,7,5,8,1,4,6,2]=>{{1,3,5},{2,7},{4,8},{6}}
[7,6,4,2,3,8,1,5]=>{{1,7},{2,6,8},{3,4},{5}}
[3,1,2,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}
[6,5,8,7,3,1,2,4]=>{{1,6},{2,5},{3,8},{4,7}}
[5,6,7,8,1,4,2,3]=>{{1,5},{2,6},{3,7},{4,8}}
[3,2,6,7,4,8,1,5]=>{{1,3,6,8},{2},{4,7},{5}}
[4,1,8,2,6,3,5,7]=>{{1,4},{2},{3,8},{5,6},{7}}
[5,8,6,7,1,2,3,4]=>{{1,5},{2,8},{3,6},{4,7}}
[4,8,1,5,7,2,3,6]=>{{1,4,5,7},{2,8},{3},{6}}
[5,3,2,7,1,6,8,4]=>{{1,5},{2,3},{4,7,8},{6}}
[6,7,2,8,5,3,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,2,8,3,1,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[7,4,6,1,8,2,3,5]=>{{1,7},{2,4},{3,6},{5,8}}
[7,5,8,6,3,4,2,1]=>{{1,7},{2,5},{3,8},{4,6}}
[5,7,8,3,1,6,4,2]=>{{1,5},{2,7},{3,8},{4},{6}}
[3,7,2,4,8,5,1,6]=>{{1,3},{2,7},{4},{5,8},{6}}
[1,5,2,6,3,8,7,4]=>{{1},{2,5},{3},{4,6,8},{7}}
[3,8,4,7,5,1,2,6]=>{{1,3,4,7},{2,8},{5},{6}}
[2,1,7,3,4,8,6,5]=>{{1,2},{3,7},{4},{5},{6,8}}
[6,4,2,8,3,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}
[6,4,1,8,3,2,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}
[1,4,8,7,2,6,5,3]=>{{1},{2,4,7},{3,8},{5},{6}}
[2,6,8,1,3,7,5,4]=>{{1,2,6,7},{3,8},{4},{5}}
[6,2,8,3,1,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}
[4,2,6,8,5,1,3,7]=>{{1,4,8},{2},{3,6},{5},{7}}
[5,6,2,8,3,4,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}
[8,7,4,3,6,2,5,1]=>{{1,8},{2,7},{3,4},{5,6}}
[7,4,5,3,8,2,6,1]=>{{1,7},{2,4},{3,5,8},{6}}
[7,5,8,3,6,2,4,1]=>{{1,7},{2,5,6},{3,8},{4}}
[6,5,3,7,8,2,1,4]=>{{1,6},{2,5,8},{3},{4,7}}
[6,5,4,2,8,7,1,3]=>{{1,6,7},{2,5,8},{3,4}}
[5,8,4,1,2,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}
[4,8,7,3,6,2,1,5]=>{{1,4},{2,8},{3,7},{5,6}}
[4,7,5,1,2,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}
[3,7,2,8,4,6,1,5]=>{{1,3},{2,7},{4,8},{5},{6}}
[2,4,6,8,3,1,7,5]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,6,3,8,1,7,5]=>{{1,2,4},{3,6},{5,8},{7}}
[2,6,4,3,8,7,1,5]=>{{1,2,6,7},{3,4},{5,8}}
[2,4,3,6,1,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}
[1,3,5,2,7,6,8,4]=>{{1},{2,3,5,7,8},{4},{6}}
[2,3,6,1,7,8,5,4]=>{{1,2,3,6,8},{4},{5,7}}
[6,4,5,7,1,3,8,2]=>{{1,6},{2,4,7,8},{3,5}}
[4,1,6,2,8,5,7,3]=>{{1,4},{2},{3,6},{5,8},{7}}
[6,4,2,1,3,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}
[4,1,8,7,2,6,5,3]=>{{1,4,7},{2},{3,8},{5},{6}}
[2,6,8,3,7,5,1,4]=>{{1,2,6},{3,8},{4},{5,7}}
[1,6,8,4,7,2,5,3]=>{{1},{2,6},{3,8},{4},{5,7}}
[1,6,8,3,7,2,5,4]=>{{1},{2,6},{3,8},{4},{5,7}}
[2,5,8,1,7,6,4,3]=>{{1,2,5,7},{3,8},{4},{6}}
[1,5,8,4,7,2,6,3]=>{{1},{2,5,7},{3,8},{4},{6}}
[3,1,8,4,7,2,6,5]=>{{1,3,8},{2},{4},{5,7},{6}}
[1,6,8,2,3,7,5,4]=>{{1},{2,6,7},{3,8},{4},{5}}
[7,1,4,8,2,6,5,3]=>{{1,7},{2},{3,4,8},{5},{6}}
[3,6,2,8,7,5,1,4]=>{{1,3},{2,6},{4,8},{5,7}}
[1,4,5,8,7,2,6,3]=>{{1},{2,4,8},{3,5,7},{6}}
[1,6,5,8,2,7,4,3]=>{{1},{2,6,7},{3,5},{4,8}}
[2,6,1,4,8,7,5,3]=>{{1,2,6,7},{3},{4},{5,8}}
[3,5,7,2,4,6,8,1]=>{{1,3,7,8},{2,5},{4},{6}}
[1,4,6,7,3,8,2,5]=>{{1},{2,4,7},{3,6,8},{5}}
[6,3,1,7,8,2,4,5]=>{{1,6},{2,3},{4,7},{5,8}}
[5,7,2,8,1,3,4,6]=>{{1,5},{2,7},{3},{4,8},{6}}
[6,3,7,2,8,1,4,5]=>{{1,6},{2,3,7},{4},{5,8}}
[3,7,1,5,6,8,2,4]=>{{1,3},{2,7},{4,5,6,8}}
[6,4,3,7,2,5,8,1]=>{{1,6},{2,4,7,8},{3},{5}}
[6,4,3,7,2,8,1,5]=>{{1,6,8},{2,4,7},{3},{5}}
[6,7,4,2,1,8,3,5]=>{{1,6,8},{2,7},{3,4},{5}}
[7,5,3,2,6,1,8,4]=>{{1,7,8},{2,5,6},{3},{4}}
[6,4,7,2,5,1,8,3]=>{{1,6},{2,4},{3,7,8},{5}}
[6,5,3,7,1,8,2,4]=>{{1,6,8},{2,5},{3},{4,7}}
[5,3,7,8,6,1,4,2]=>{{1,5,6},{2,3,7},{4,8}}
[7,3,5,1,8,6,4,2]=>{{1,7},{2,3,5,8},{4},{6}}
[1,5,7,3,8,6,4,2]=>{{1},{2,5,8},{3,7},{4},{6}}
[3,7,5,1,8,6,4,2]=>{{1,3,5,8},{2,7},{4},{6}}
[4,3,1,2,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}
[4,6,3,5,1,2,8,7]=>{{1,4,5},{2,6},{3},{7,8}}
[2,3,6,1,5,4,8,7]=>{{1,2,3,6},{4},{5},{7,8}}
[2,1,6,5,3,4,8,7]=>{{1,2},{3,6},{4,5},{7,8}}
[8,7,6,1,3,2,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,6,8,5,7,3,4]=>{{1,2},{3,6,7},{4,8},{5}}
[8,2,3,5,7,1,6,4]=>{{1,8},{2},{3},{4,5,7},{6}}
[2,1,4,5,8,3,7,6]=>{{1,2},{3,4,5,8},{6},{7}}
[2,4,8,3,5,6,7,1]=>{{1,2,4},{3,8},{5},{6},{7}}
[2,1,4,3,8,7,5,6]=>{{1,2},{3,4},{5,8},{6,7}}
[5,1,6,7,8,4,3,2]=>{{1,5,8},{2},{3,6},{4,7}}
[7,3,8,5,4,6,1,2]=>{{1,7},{2,3,8},{4,5},{6}}
[4,7,3,8,5,6,1,2]=>{{1,4,8},{2,7},{3},{5},{6}}
[1,7,6,5,3,8,4,2]=>{{1},{2,7},{3,6,8},{4,5}}
[3,1,2,8,4,6,7,5]=>{{1,3},{2},{4,8},{5},{6},{7}}
[2,8,4,1,5,6,3,7]=>{{1,2,8},{3,4},{5},{6},{7}}
[1,7,2,8,5,3,6,4]=>{{1},{2,7},{3},{4,8},{5},{6}}
[7,4,8,3,2,1,5,6]=>{{1,7},{2,4},{3,8},{5},{6}}
[4,7,1,2,8,3,6,5]=>{{1,4},{2,7},{3},{5,8},{6}}
[3,4,1,8,5,6,7,2]=>{{1,3},{2,4,8},{5},{6},{7}}
[2,6,1,4,8,7,3,5]=>{{1,2,6,7},{3},{4},{5,8}}
[2,5,3,8,7,4,6,1]=>{{1,2,5,7},{3},{4,8},{6}}
[2,7,6,4,5,8,3,1]=>{{1,2,7},{3,6,8},{4},{5}}
[5,8,7,1,4,3,2,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[5,6,1,2,4,3,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}
[3,6,8,1,2,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}
[6,5,3,1,4,7,2,8]=>{{1,6,7},{2,5},{3},{4},{8}}
[2,6,8,4,5,7,1,3]=>{{1,2,6,7},{3,8},{4},{5}}
[2,7,4,8,5,6,1,3]=>{{1,2,7},{3,4,8},{5},{6}}
[5,6,3,2,1,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[4,5,3,2,7,1,8,6]=>{{1,4},{2,5,7,8},{3},{6}}
[1,8,4,7,2,5,3,6]=>{{1},{2,8},{3,4,7},{5},{6}}
[4,5,8,3,1,7,6,2]=>{{1,4},{2,5},{3,8},{6,7}}
[4,6,3,5,2,1,8,7]=>{{1,4,5},{2,6},{3},{7,8}}
[3,6,2,1,4,7,5,8]=>{{1,3},{2,6,7},{4},{5},{8}}
[7,4,1,2,8,6,3,5]=>{{1,7},{2,4},{3},{5,8},{6}}
[6,2,7,8,5,4,1,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[4,8,2,6,5,7,1,3]=>{{1,4,6,7},{2,8},{3},{5}}
[5,7,8,3,2,1,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[8,7,4,2,6,1,5,3]=>{{1,8},{2,7},{3,4},{5,6}}
[7,8,1,6,3,4,2,5]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,2,5,1,6,3,4]=>{{1,7},{2,8},{3},{4,5},{6}}
[1,8,5,6,2,7,3,4]=>{{1},{2,8},{3,5},{4,6,7}}
[5,7,1,6,2,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}
[2,5,1,8,6,7,3,4]=>{{1,2,5,6,7},{3},{4,8}}
[4,7,1,8,5,6,2,3]=>{{1,4,8},{2,7},{3},{5},{6}}
[3,7,1,6,2,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}
[3,5,2,7,4,8,1,6]=>{{1,3},{2,5},{4,7},{6,8}}
[3,7,2,1,4,5,8,6]=>{{1,3},{2,7,8},{4},{5},{6}}
[2,7,1,3,4,8,6,5]=>{{1,2,7},{3},{4},{5},{6,8}}
[6,8,7,2,1,4,3,5]=>{{1,6},{2,8},{3,7},{4},{5}}
[6,8,2,1,7,4,3,5]=>{{1,6},{2,8},{3},{4},{5,7}}
[2,8,6,7,4,3,1,5]=>{{1,2,8},{3,6},{4,7},{5}}
[4,2,1,6,5,8,7,3]=>{{1,4,6,8},{2},{3},{5},{7}}
[4,6,5,8,7,2,1,3]=>{{1,4,8},{2,6},{3,5,7}}
[2,6,8,4,7,1,5,3]=>{{1,2,6},{3,8},{4},{5,7}}
[3,5,1,6,4,2,8,7]=>{{1,3},{2,5},{4,6},{7,8}}
[3,6,2,4,5,1,8,7]=>{{1,3},{2,6},{4},{5},{7,8}}
[5,7,1,3,8,6,2,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,8,2,5,1,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}
[4,6,7,1,8,5,3,2]=>{{1,4},{2,6},{3,7},{5,8}}
[3,6,1,7,8,5,4,2]=>{{1,3},{2,6},{4,7},{5,8}}
[2,1,5,7,3,8,6,4]=>{{1,2},{3,5},{4,7},{6,8}}
[4,1,2,3,7,8,6,5]=>{{1,4},{2},{3},{5,7},{6,8}}
[3,4,2,1,8,5,6,7]=>{{1,3},{2,4},{5,8},{6},{7}}
[2,1,5,8,4,6,7,3]=>{{1,2},{3,5},{4,8},{6},{7}}
[3,1,5,2,4,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}}
[4,3,6,1,2,8,7,5]=>{{1,4},{2,3,6,8},{5},{7}}
[6,1,3,5,4,8,7,2]=>{{1,6,8},{2},{3},{4,5},{7}}
[1,7,3,8,4,6,2,5]=>{{1},{2,7},{3},{4,8},{5},{6}}
[8,1,2,5,4,6,3,7]=>{{1,8},{2},{3},{4,5},{6},{7}}
[8,4,2,5,7,1,6,3]=>{{1,8},{2,4,5,7},{3},{6}}
[1,8,5,3,7,4,6,2]=>{{1},{2,8},{3,5,7},{4},{6}}
[5,3,2,8,7,1,4,6]=>{{1,5,7},{2,3},{4,8},{6}}
[4,2,1,7,5,3,6,8]=>{{1,4,7},{2},{3},{5},{6},{8}}
[4,3,1,8,5,6,7,2]=>{{1,4,8},{2,3},{5},{6},{7}}
[6,3,5,1,4,2,8,7]=>{{1,6},{2,3,5},{4},{7,8}}
[4,6,3,1,5,2,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}
[5,7,3,4,1,6,2,8]=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,7,3,8,5,6,2,4]=>{{1},{2,7},{3},{4,8},{5},{6}}
[4,2,6,1,5,3,7,8]=>{{1,4},{2},{3,6},{5},{7},{8}}
[5,2,6,4,1,3,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}}
[8,7,4,1,6,2,3,5]=>{{1,8},{2,7},{3,4},{5,6}}
[2,7,8,3,6,1,4,5]=>{{1,2,7},{3,8},{4},{5,6}}
[5,3,2,8,1,6,4,7]=>{{1,5},{2,3},{4,8},{6},{7}}
[4,6,7,2,8,3,1,5]=>{{1,4},{2,6},{3,7},{5,8}}
[4,5,6,7,3,1,8,2]=>{{1,4,7,8},{2,5},{3,6}}
[7,5,4,6,2,8,1,3]=>{{1,7},{2,5},{3,4,6,8}}
[5,4,1,6,2,3,8,7]=>{{1,5},{2,4,6},{3},{7,8}}
[5,8,7,6,1,2,3,4]=>{{1,5},{2,8},{3,7},{4,6}}
[2,1,6,3,8,5,4,7]=>{{1,2},{3,6},{4},{5,8},{7}}
[4,6,2,8,5,1,3,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[3,1,6,2,4,8,7,5]=>{{1,3,6,8},{2},{4},{5},{7}}
[2,1,7,6,3,8,4,5]=>{{1,2},{3,7},{4,6,8},{5}}
[6,4,8,3,5,7,1,2]=>{{1,6,7},{2,4},{3,8},{5}}
[3,6,7,1,8,5,2,4]=>{{1,3,7},{2,6},{4},{5,8}}
[6,5,7,3,1,8,4,2]=>{{1,6,8},{2,5},{3,7},{4}}
[2,1,4,6,8,3,7,5]=>{{1,2},{3,4,6},{5,8},{7}}
[3,5,6,2,4,8,7,1]=>{{1,3,6,8},{2,5},{4},{7}}
[6,1,2,8,7,4,3,5]=>{{1,6},{2},{3},{4,8},{5,7}}
[3,2,8,1,4,7,6,5]=>{{1,3,8},{2},{4},{5},{6,7}}
[6,4,3,8,2,5,7,1]=>{{1,6},{2,4,8},{3},{5},{7}}
[2,1,7,8,3,4,6,5]=>{{1,2},{3,7},{4,8},{5},{6}}
[5,7,2,1,8,3,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,6,2,4,3,1,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}
[8,7,6,5,1,3,2,4]=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,4,3,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,8,7,6,1,5,2]=>{{1,4,7},{2,3,8},{5,6}}
[1,6,3,8,5,2,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}
[4,6,3,7,5,2,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[6,2,5,1,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}
[3,4,1,2,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}
[4,1,3,2,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,1,2,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}
[6,7,8,1,4,5,3,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,2,3,8,1,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,4,1,2,8,7,3,5]=>{{1,6,7},{2,4},{3},{5,8}}
[4,3,8,5,2,1,6,7]=>{{1,4,5},{2,3,8},{6},{7}}
[5,6,3,1,8,2,7,4]=>{{1,5,8},{2,6},{3},{4},{7}}
[6,5,4,3,1,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,2,1,6,8,3,7]=>{{1,4},{2,5,6,8},{3},{7}}
[5,6,2,8,1,7,4,3]=>{{1,5},{2,6,7},{3},{4,8}}
[2,1,4,5,8,6,3,7]=>{{1,2},{3,4,5,8},{6},{7}}
[2,4,1,6,8,5,3,7]=>{{1,2,4,6},{3},{5,8},{7}}
[2,1,8,7,6,4,3,5]=>{{1,2},{3,8},{4,7},{5,6}}
[6,8,3,5,4,7,1,2]=>{{1,6,7},{2,8},{3},{4,5}}
[1,8,2,5,7,6,3,4]=>{{1},{2,8},{3},{4,5,7},{6}}
[6,2,4,1,7,5,8,3]=>{{1,6},{2},{3,4},{5,7,8}}
[3,1,5,4,2,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}
[4,3,2,1,8,5,7,6]=>{{1,4},{2,3},{5,8},{6},{7}}
[8,1,6,2,7,4,3,5]=>{{1,8},{2},{3,6},{4},{5,7}}
[7,3,1,6,5,4,2,8]=>{{1,7},{2,3},{4,6},{5},{8}}
[3,7,5,8,2,1,4,6]=>{{1,3,5},{2,7},{4,8},{6}}
[5,1,7,8,2,4,6,3]=>{{1,5},{2},{3,7},{4,8},{6}}
[4,6,7,2,8,1,3,5]=>{{1,4},{2,6},{3,7},{5,8}}
[2,7,6,5,1,4,3,8]=>{{1,2,7},{3,6},{4,5},{8}}
[8,1,2,3,4,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}
[3,8,2,7,6,5,4,1]=>{{1,3},{2,8},{4,7},{5,6}}
[4,2,8,7,6,5,3,1]=>{{1,4,7},{2},{3,8},{5,6}}
[8,3,1,7,6,5,4,2]=>{{1,8},{2,3},{4,7},{5,6}}
[8,3,2,1,7,6,5,4]=>{{1,8},{2,3},{4},{5,7},{6}}
[8,4,1,5,2,3,7,6]=>{{1,8},{2,4,5},{3},{6},{7}}
[8,5,3,2,6,1,7,4]=>{{1,8},{2,5,6},{3},{4},{7}}
[5,6,2,1,7,3,8,4]=>{{1,5,7,8},{2,6},{3},{4}}
[6,4,2,1,5,3,7,8]=>{{1,6},{2,4},{3},{5},{7},{8}}
[1,6,4,2,8,7,3,5]=>{{1},{2,6,7},{3,4},{5,8}}
[4,2,7,8,1,3,6,5]=>{{1,4,8},{2},{3,7},{5},{6}}
[2,1,8,7,6,3,5,4]=>{{1,2},{3,8},{4,7},{5,6}}
[5,4,1,6,3,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}}
[5,1,7,2,8,6,4,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[2,1,7,6,3,8,5,4]=>{{1,2},{3,7},{4,6,8},{5}}
[5,8,3,1,6,2,7,4]=>{{1,5,6},{2,8},{3},{4},{7}}
[5,1,7,3,6,2,8,4]=>{{1,5,6},{2},{3,7,8},{4}}
[6,8,4,7,1,5,3,2]=>{{1,6},{2,8},{3,4,7},{5}}
[4,3,2,1,6,8,5,7]=>{{1,4},{2,3},{5,6,8},{7}}
[2,4,1,3,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}}
[6,5,3,1,7,2,8,4]=>{{1,6},{2,5,7,8},{3},{4}}
[2,3,8,5,4,1,6,7]=>{{1,2,3,8},{4,5},{6},{7}}
[7,5,2,6,3,8,4,1]=>{{1,7},{2,5},{3},{4,6,8}}
[5,6,3,1,2,4,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}
[5,7,3,6,2,8,4,1]=>{{1,5},{2,7},{3},{4,6,8}}
[4,7,3,8,1,2,6,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,8,7,3,6,5,2,1]=>{{1,4},{2,8},{3,7},{5,6}}
[7,5,8,3,6,2,1,4]=>{{1,7},{2,5,6},{3,8},{4}}
[7,5,8,3,2,6,1,4]=>{{1,7},{2,5},{3,8},{4},{6}}
[4,2,8,6,1,7,3,5]=>{{1,4,6,7},{2},{3,8},{5}}
[8,1,3,2,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}
[8,5,3,6,2,4,1,7]=>{{1,8},{2,5},{3},{4,6},{7}}
[8,3,5,6,2,1,4,7]=>{{1,8},{2,3,5},{4,6},{7}}
[7,5,8,2,1,4,6,3]=>{{1,7},{2,5},{3,8},{4},{6}}
[7,4,8,3,2,6,1,5]=>{{1,7},{2,4},{3,8},{5},{6}}
[5,1,2,3,6,8,7,4]=>{{1,5,6,8},{2},{3},{4},{7}}
[5,7,8,2,1,4,3,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[8,3,4,1,5,6,7,2]=>{{1,8},{2,3,4},{5},{6},{7}}
[3,5,2,7,4,6,1,8]=>{{1,3},{2,5},{4,7},{6},{8}}
[3,2,7,5,4,1,6,8]=>{{1,3,7},{2},{4,5},{6},{8}}
[3,5,7,2,4,1,6,8]=>{{1,3,7},{2,5},{4},{6},{8}}
[3,5,2,4,1,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}
[3,5,2,1,4,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}
[3,2,5,1,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}
[3,5,2,1,7,4,6,8]=>{{1,3},{2,5,7},{4},{6},{8}}
[5,8,7,1,2,6,4,3]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,8,2,1,7,5,4,3]=>{{1,6},{2,8},{3},{4},{5,7}}
[2,8,7,4,3,6,1,5]=>{{1,2,8},{3,7},{4},{5},{6}}
[7,6,2,8,3,1,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}
[2,6,5,7,8,3,4,1]=>{{1,2,6},{3,5,8},{4,7}}
[3,2,5,1,7,8,4,6]=>{{1,3,5,7},{2},{4},{6,8}}
[6,3,5,4,8,2,7,1]=>{{1,6},{2,3,5,8},{4},{7}}
[3,5,7,6,1,4,8,2]=>{{1,3,7,8},{2,5},{4,6}}
[1,2,7,4,8,5,3,6]=>{{1},{2},{3,7},{4},{5,8},{6}}
[3,8,4,7,6,1,5,2]=>{{1,3,4,7},{2,8},{5,6}}
[5,1,8,6,2,7,3,4]=>{{1,5},{2},{3,8},{4,6,7}}
[3,6,2,7,8,1,5,4]=>{{1,3},{2,6},{4,7},{5,8}}
[5,7,8,4,1,6,3,2]=>{{1,5},{2,7},{3,8},{4},{6}}
[5,2,8,1,3,4,7,6]=>{{1,5},{2},{3,8},{4},{6},{7}}
[3,2,1,6,4,7,8,5]=>{{1,3},{2},{4,6,7,8},{5}}
[1,8,3,2,6,7,5,4]=>{{1},{2,8},{3},{4},{5,6,7}}
[2,7,6,5,8,3,1,4]=>{{1,2,7},{3,6},{4,5,8}}
[3,2,7,1,6,8,4,5]=>{{1,3,7},{2},{4},{5,6,8}}
[8,2,5,3,7,1,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}
[8,3,2,1,5,6,4,7]=>{{1,8},{2,3},{4},{5},{6},{7}}
[2,7,6,8,4,3,1,5]=>{{1,2,7},{3,6},{4,8},{5}}
[3,1,7,4,5,2,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}
[4,3,7,2,6,8,1,5]=>{{1,4},{2,3,7},{5,6,8}}
[8,7,6,5,1,3,4,2]=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,1,5,4,3,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,5,2,4,3,1]=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,3,6,7,1,8,2]=>{{1,5,7,8},{2,4,6},{3}}
[5,4,7,3,6,1,8,2]=>{{1,5,6},{2,4},{3,7,8}}
[2,1,8,7,6,3,4,5]=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,7,6,2,4,1,3]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,4,2,3,1]=>{{1,5},{2,8},{3,7},{4,6}}
[2,4,1,7,3,8,6,5]=>{{1,2,4,7},{3},{5},{6,8}}
[2,4,5,3,7,1,8,6]=>{{1,2,4},{3,5,7,8},{6}}
[2,4,6,3,1,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}
[2,4,6,3,8,5,1,7]=>{{1,2,4},{3,6},{5,8},{7}}
[2,4,6,8,3,5,1,7]=>{{1,2,4,8},{3,6},{5},{7}}
[2,5,1,6,7,4,8,3]=>{{1,2,5,7,8},{3},{4,6}}
[2,5,6,7,8,4,1,3]=>{{1,2,5,8},{3,6},{4,7}}
[4,1,2,3,7,6,5,8]=>{{1,4},{2},{3},{5,7},{6},{8}}
[6,8,4,7,2,5,3,1]=>{{1,6},{2,8},{3,4,7},{5}}
[6,8,4,2,7,1,5,3]=>{{1,6},{2,8},{3,4},{5,7}}
[6,4,2,8,7,5,3,1]=>{{1,6},{2,4,8},{3},{5,7}}
[5,8,7,2,3,6,1,4]=>{{1,5},{2,8},{3,7},{4},{6}}
[6,8,1,7,3,5,4,2]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,1,7,3,2,5,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[3,8,2,7,6,5,1,4]=>{{1,3},{2,8},{4,7},{5,6}}
[4,8,5,7,1,2,6,3]=>{{1,4,7},{2,8},{3,5},{6}}
[6,8,1,3,7,2,5,4]=>{{1,6},{2,8},{3},{4},{5,7}}
[2,8,1,3,7,6,5,4]=>{{1,2,8},{3},{4},{5,7},{6}}
[3,1,6,7,4,8,5,2]=>{{1,3,6,8},{2},{4,7},{5}}
[3,4,5,8,7,6,1,2]=>{{1,3,5,7},{2,4,8},{6}}
[6,4,7,8,2,5,1,3]=>{{1,6},{2,4,8},{3,7},{5}}
[5,4,3,2,6,8,1,7]=>{{1,5,6,8},{2,4},{3},{7}}
[7,5,2,6,8,4,1,3]=>{{1,7},{2,5,8},{3},{4,6}}
[7,1,8,2,3,6,5,4]=>{{1,7},{2},{3,8},{4},{5},{6}}
[7,1,8,4,2,6,5,3]=>{{1,7},{2},{3,8},{4},{5},{6}}
[7,1,8,3,6,2,5,4]=>{{1,7},{2},{3,8},{4},{5,6}}
[2,8,3,4,5,1,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}
[2,8,5,3,4,6,7,1]=>{{1,2,8},{3,5},{4},{6},{7}}
[3,4,1,8,7,6,5,2]=>{{1,3},{2,4,8},{5,7},{6}}
[6,1,2,3,5,8,7,4]=>{{1,6,8},{2},{3},{4},{5},{7}}
[7,1,2,3,5,8,6,4]=>{{1,7},{2},{3},{4},{5},{6,8}}
[6,1,2,3,5,7,8,4]=>{{1,6,7,8},{2},{3},{4},{5}}
[5,2,8,6,7,3,4,1]=>{{1,5,7},{2},{3,8},{4,6}}
[7,3,5,6,8,4,1,2]=>{{1,7},{2,3,5,8},{4,6}}
[8,4,5,1,7,3,6,2]=>{{1,8},{2,4},{3,5,7},{6}}
[7,5,8,6,1,2,3,4]=>{{1,7},{2,5},{3,8},{4,6}}
[6,4,8,5,2,3,1,7]=>{{1,6},{2,4,5},{3,8},{7}}
[7,4,8,5,6,2,3,1]=>{{1,7},{2,4,5,6},{3,8}}
[4,8,2,5,1,3,7,6]=>{{1,4,5},{2,8},{3},{6},{7}}
[1,5,6,7,8,3,4,2]=>{{1},{2,5,8},{3,6},{4,7}}
[5,1,2,3,8,7,6,4]=>{{1,5,8},{2},{3},{4},{6,7}}
[5,1,2,3,8,6,7,4]=>{{1,5,8},{2},{3},{4},{6},{7}}
[3,4,8,1,5,6,7,2]=>{{1,3,8},{2,4},{5},{6},{7}}
[3,5,1,7,4,8,6,2]=>{{1,3},{2,5},{4,7},{6,8}}
[5,6,7,8,4,1,3,2]=>{{1,5},{2,6},{3,7},{4,8}}
[5,7,8,4,3,6,1,2]=>{{1,5},{2,7},{3,8},{4},{6}}
[2,5,8,6,1,7,3,4]=>{{1,2,5},{3,8},{4,6,7}}
[1,4,2,7,3,8,6,5]=>{{1},{2,4,7},{3},{5},{6,8}}
[1,2,7,3,8,6,5,4]=>{{1},{2},{3,7},{4},{5,8},{6}}
[3,4,5,1,8,2,7,6]=>{{1,3,5,8},{2,4},{6},{7}}
[8,7,6,2,1,4,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,7,3,2,4,6,5]=>{{1},{2,8},{3,7},{4},{5},{6}}
[8,3,1,5,6,2,7,4]=>{{1,8},{2,3},{4,5,6},{7}}
[4,8,7,2,1,6,5,3]=>{{1,4},{2,8},{3,7},{5},{6}}
[5,8,7,6,3,2,4,1]=>{{1,5},{2,8},{3,7},{4,6}}
[2,1,5,8,3,7,4,6]=>{{1,2},{3,5},{4,8},{6,7}}
[2,1,7,4,8,3,6,5]=>{{1,2},{3,7},{4},{5,8},{6}}
[5,1,4,8,2,7,3,6]=>{{1,5},{2},{3,4,8},{6,7}}
[3,4,1,2,8,7,5,6]=>{{1,3},{2,4},{5,8},{6,7}}
[6,2,5,1,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}
[5,1,2,3,8,4,7,6]=>{{1,5,8},{2},{3},{4},{6},{7}}
[4,1,2,3,8,7,5,6]=>{{1,4},{2},{3},{5,8},{6,7}}
[7,4,1,6,8,2,3,5]=>{{1,7},{2,4,6},{3},{5,8}}
[2,3,1,8,5,4,7,6]=>{{1,2,3},{4,8},{5},{6},{7}}
[5,3,1,8,7,2,4,6]=>{{1,5,7},{2,3},{4,8},{6}}
[3,6,1,8,7,2,4,5]=>{{1,3},{2,6},{4,8},{5,7}}
[3,1,5,2,8,6,7,4]=>{{1,3,5,8},{2},{4},{6},{7}}
[6,7,8,2,1,5,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[7,2,4,5,8,3,6,1]=>{{1,7},{2},{3,4,5,8},{6}}
[3,2,5,8,1,6,7,4]=>{{1,3,5},{2},{4,8},{6},{7}}
[8,1,4,3,2,5,6,7]=>{{1,8},{2},{3,4},{5},{6},{7}}
[6,7,8,5,2,4,1,3]=>{{1,6},{2,7},{3,8},{4,5}}
[3,4,5,8,2,1,7,6]=>{{1,3,5},{2,4,8},{6},{7}}
[3,4,6,2,7,1,5,8]=>{{1,3,6},{2,4},{5,7},{8}}
[3,6,2,7,8,5,1,4]=>{{1,3},{2,6},{4,7},{5,8}}
[3,6,2,7,8,1,4,5]=>{{1,3},{2,6},{4,7},{5,8}}
[3,7,2,8,5,6,1,4]=>{{1,3},{2,7},{4,8},{5},{6}}
[3,8,2,1,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}
[8,1,4,5,3,6,7,2]=>{{1,8},{2},{3,4,5},{6},{7}}
[4,1,7,3,5,6,8,2]=>{{1,4},{2},{3,7,8},{5},{6}}
[2,3,7,8,1,6,5,4]=>{{1,2,3,7},{4,8},{5},{6}}
[2,7,6,1,4,8,3,5]=>{{1,2,7},{3,6,8},{4},{5}}
[6,7,4,1,8,2,3,5]=>{{1,6},{2,7},{3,4},{5,8}}
[6,7,8,1,4,2,5,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[2,3,4,8,1,5,7,6]=>{{1,2,3,4,8},{5},{6},{7}}
[3,2,5,7,8,1,6,4]=>{{1,3,5,8},{2},{4,7},{6}}
[5,7,1,6,2,8,4,3]=>{{1,5},{2,7},{3},{4,6,8}}
[7,4,1,5,8,2,6,3]=>{{1,7},{2,4,5,8},{3},{6}}
[4,8,1,3,5,6,7,2]=>{{1,4},{2,8},{3},{5},{6},{7}}
[8,1,2,3,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,1,8,3,7,5,6,4]=>{{1,2},{3,8},{4},{5,7},{6}}
[5,7,3,2,8,6,1,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,7,8,3,1,6,2,4]=>{{1,5},{2,7},{3,8},{4},{6}}
[1,5,6,7,8,3,2,4]=>{{1},{2,5,8},{3,6},{4,7}}
[4,6,2,8,5,1,7,3]=>{{1,4,8},{2,6},{3},{5},{7}}
[4,6,7,1,8,5,2,3]=>{{1,4},{2,6},{3,7},{5,8}}
[4,7,2,8,5,6,1,3]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,8,2,1,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}
[1,2,8,4,5,3,7,6]=>{{1},{2},{3,8},{4},{5},{6},{7}}
[5,2,7,4,8,6,1,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[7,1,6,3,8,2,4,5]=>{{1,7},{2},{3,6},{4},{5,8}}
[4,1,8,2,5,6,7,3]=>{{1,4},{2},{3,8},{5},{6},{7}}
[3,8,1,2,7,5,4,6]=>{{1,3},{2,8},{4},{5,7},{6}}
[5,4,7,1,2,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}
[8,4,7,1,3,2,6,5]=>{{1,8},{2,4},{3,7},{5},{6}}
[8,5,7,3,1,2,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[7,6,8,1,4,5,2,3]=>{{1,7},{2,6},{3,8},{4},{5}}
[3,7,1,4,2,8,6,5]=>{{1,3},{2,7},{4},{5},{6,8}}
[5,8,3,4,1,6,2,7]=>{{1,5},{2,8},{3},{4},{6},{7}}
[4,2,6,1,7,8,5,3]=>{{1,4},{2},{3,6,8},{5,7}}
[1,5,2,6,7,8,4,3]=>{{1},{2,5,7},{3},{4,6,8}}
[4,2,6,8,5,1,7,3]=>{{1,4,8},{2},{3,6},{5},{7}}
[5,6,2,7,3,8,4,1]=>{{1,5},{2,6,8},{3},{4,7}}
[3,7,1,5,8,2,4,6]=>{{1,3},{2,7},{4,5,8},{6}}
[4,2,1,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}
[1,8,7,6,3,4,5,2]=>{{1},{2,8},{3,7},{4,6},{5}}
[2,3,4,8,1,6,7,5]=>{{1,2,3,4,8},{5},{6},{7}}
[2,1,7,5,3,8,6,4]=>{{1,2},{3,7},{4,5},{6,8}}
[1,8,7,6,2,3,4,5]=>{{1},{2,8},{3,7},{4,6},{5}}
[6,5,1,2,3,8,4,7]=>{{1,6,8},{2,5},{3},{4},{7}}
[7,6,4,1,8,2,3,5]=>{{1,7},{2,6},{3,4},{5,8}}
[4,1,2,8,6,3,7,5]=>{{1,4,8},{2},{3},{5,6},{7}}
[6,5,3,1,8,2,4,7]=>{{1,6},{2,5,8},{3},{4},{7}}
[3,8,1,6,7,2,4,5]=>{{1,3},{2,8},{4,6},{5,7}}
[6,5,3,7,1,2,8,4]=>{{1,6},{2,5},{3},{4,7,8}}
[1,4,8,2,3,7,6,5]=>{{1},{2,4},{3,8},{5},{6,7}}
[3,1,8,2,5,6,7,4]=>{{1,3,8},{2},{4},{5},{6},{7}}
[8,2,6,3,4,7,1,5]=>{{1,8},{2},{3,6,7},{4},{5}}
[6,5,3,8,7,2,1,4]=>{{1,6},{2,5,7},{3},{4,8}}
[6,7,3,8,1,5,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,3,4,1,5,2,8]=>{{1,6},{2,7},{3},{4},{5},{8}}
[6,7,8,1,5,4,2,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[4,5,6,7,1,3,2,8]=>{{1,4,7},{2,5},{3,6},{8}}
[7,2,8,4,1,6,5,3]=>{{1,7},{2},{3,8},{4},{5},{6}}
[4,6,7,3,8,1,2,5]=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,7,8,1,5,3,2]=>{{1,4,8},{2,6},{3,7},{5}}
[4,7,3,8,1,6,5,2]=>{{1,4,8},{2,7},{3},{5},{6}}
[6,3,5,1,8,2,4,7]=>{{1,6},{2,3,5,8},{4},{7}}
[3,2,1,8,7,4,5,6]=>{{1,3},{2},{4,8},{5,7},{6}}
[4,5,3,8,6,2,7,1]=>{{1,4,8},{2,5,6},{3},{7}}
[2,4,8,7,6,5,1,3]=>{{1,2,4,7},{3,8},{5,6}}
[3,5,6,8,7,2,1,4]=>{{1,3,6},{2,5,7},{4,8}}
[2,4,6,1,5,8,3,7]=>{{1,2,4},{3,6,8},{5},{7}}
[3,4,1,7,6,8,5,2]=>{{1,3},{2,4,7},{5,6,8}}
[3,6,1,7,8,4,2,5]=>{{1,3},{2,6},{4,7},{5,8}}
[4,5,7,2,1,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}
[4,6,5,2,8,7,3,1]=>{{1,4},{2,6,7},{3,5,8}}
[4,7,8,5,6,2,1,3]=>{{1,4,5,6},{2,7},{3,8}}
[4,2,6,8,5,3,1,7]=>{{1,4,8},{2},{3,6},{5},{7}}
[5,1,2,7,8,6,4,3]=>{{1,5,8},{2},{3},{4,7},{6}}
[4,1,8,7,2,6,3,5]=>{{1,4,7},{2},{3,8},{5},{6}}
[4,1,5,8,7,3,2,6]=>{{1,4,8},{2},{3,5,7},{6}}
[5,1,8,2,7,6,3,4]=>{{1,5,7},{2},{3,8},{4},{6}}
[4,5,2,8,7,1,6,3]=>{{1,4,8},{2,5,7},{3},{6}}
[4,2,8,7,1,3,6,5]=>{{1,4,7},{2},{3,8},{5},{6}}
[3,8,5,7,2,4,1,6]=>{{1,3,5},{2,8},{4,7},{6}}
[8,5,7,3,1,6,2,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[3,8,6,1,4,7,2,5]=>{{1,3,6,7},{2,8},{4},{5}}
[3,4,8,2,5,6,7,1]=>{{1,3,8},{2,4},{5},{6},{7}}
[7,3,5,6,8,1,4,2]=>{{1,7},{2,3,5,8},{4,6}}
[4,3,1,2,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}
[2,5,8,6,7,3,1,4]=>{{1,2,5,7},{3,8},{4,6}}
[2,3,4,1,8,7,5,6]=>{{1,2,3,4},{5,8},{6,7}}
[4,2,6,5,1,8,7,3]=>{{1,4,5},{2},{3,6,8},{7}}
[6,5,4,1,3,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[6,5,4,2,1,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,4,3,6,1,5,2]=>{{1,8},{2,7},{3,4},{5,6}}
[8,6,7,3,4,1,5,2]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,3,2,7,6,4,1,5]=>{{1,8},{2,3},{4,7},{5,6}}
[8,5,4,1,3,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}
[6,8,2,7,3,4,1,5]=>{{1,6},{2,8},{3},{4,7},{5}}
[1,3,2,6,5,8,4,7]=>{{1},{2,3},{4,6,8},{5},{7}}
[2,3,4,8,7,5,6,1]=>{{1,2,3,4,8},{5,7},{6}}
[1,8,5,6,7,3,4,2]=>{{1},{2,8},{3,5,7},{4,6}}
[3,4,8,7,6,1,5,2]=>{{1,3,8},{2,4,7},{5,6}}
[6,3,1,5,4,2,8,7]=>{{1,6},{2,3},{4,5},{7,8}}
[7,8,3,4,6,5,1,2]=>{{1,7},{2,8},{3},{4},{5,6}}
[2,1,8,5,3,7,6,4]=>{{1,2},{3,8},{4,5},{6,7}}
[3,5,4,2,8,6,1,7]=>{{1,3,4},{2,5,8},{6},{7}}
[5,6,8,7,3,2,1,4]=>{{1,5},{2,6},{3,8},{4,7}}
[7,4,1,3,2,6,8,5]=>{{1,7,8},{2,4},{3},{5},{6}}
[7,6,5,8,1,2,4,3]=>{{1,7},{2,6},{3,5},{4,8}}
[4,3,8,2,5,6,7,1]=>{{1,4},{2,3,8},{5},{6},{7}}
[3,2,8,1,6,7,4,5]=>{{1,3,8},{2},{4},{5,6,7}}
[7,2,6,3,8,1,5,4]=>{{1,7},{2},{3,6},{4},{5,8}}
[3,8,5,1,7,6,4,2]=>{{1,3,5,7},{2,8},{4},{6}}
[2,8,1,3,5,6,7,4]=>{{1,2,8},{3},{4},{5},{6},{7}}
[1,2,5,3,7,6,8,4]=>{{1},{2},{3,5,7,8},{4},{6}}
[4,1,3,7,6,8,5,2]=>{{1,4,7},{2},{3},{5,6,8}}
[2,8,3,1,7,5,4,6]=>{{1,2,8},{3},{4},{5,7},{6}}
[3,5,6,7,8,2,4,1]=>{{1,3,6},{2,5,8},{4,7}}
[8,7,4,3,6,5,1,2]=>{{1,8},{2,7},{3,4},{5,6}}
[6,1,2,5,4,3,8,7]=>{{1,6},{2},{3},{4,5},{7,8}}
[8,1,2,3,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}
[8,1,2,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,8,1,6,7,5,3,4]=>{{1,2,8},{3},{4,6},{5,7}}
[4,8,5,2,7,1,6,3]=>{{1,4},{2,8},{3,5,7},{6}}
[8,3,1,5,7,6,2,4]=>{{1,8},{2,3},{4,5,7},{6}}
[8,1,2,3,6,7,5,4]=>{{1,8},{2},{3},{4},{5,6,7}}
[5,7,3,2,1,6,4,8]=>{{1,5},{2,7},{3},{4},{6},{8}}
[5,2,8,1,4,3,7,6]=>{{1,5},{2},{3,8},{4},{6},{7}}
[7,1,6,8,2,4,5,3]=>{{1,7},{2},{3,6},{4,8},{5}}
[5,8,6,2,3,1,4,7]=>{{1,5},{2,8},{3,6},{4},{7}}
[8,3,2,7,6,1,4,5]=>{{1,8},{2,3},{4,7},{5,6}}
[6,3,5,7,8,2,4,1]=>{{1,6},{2,3,5,8},{4,7}}
[3,5,6,8,7,2,4,1]=>{{1,3,6},{2,5,7},{4,8}}
[6,4,7,8,3,5,2,1]=>{{1,6},{2,4,8},{3,7},{5}}
[5,2,4,1,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}
[6,3,5,2,7,4,8,1]=>{{1,6},{2,3,5,7,8},{4}}
[2,1,7,4,6,3,8,5]=>{{1,2},{3,7,8},{4},{5,6}}
[4,3,7,5,8,6,1,2]=>{{1,4,5,8},{2,3,7},{6}}
[6,7,4,8,3,5,2,1]=>{{1,6},{2,7},{3,4,8},{5}}
[3,6,8,5,4,7,1,2]=>{{1,3,8},{2,6,7},{4,5}}
[7,1,3,8,4,6,5,2]=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,8,6,7,3,4,5,2]=>{{1},{2,8},{3,6},{4,7},{5}}
[3,5,2,6,1,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}
[4,5,7,2,3,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}
[4,5,7,2,3,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}
[4,5,6,2,3,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[4,5,6,2,1,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[4,5,6,1,3,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[4,5,6,3,1,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}
[4,5,7,3,2,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}
[4,6,7,3,8,2,5,1]=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,7,3,8,2,1,5]=>{{1,4},{2,6},{3,7},{5,8}}
[4,5,7,3,1,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}
[3,5,1,7,4,8,2,6]=>{{1,3},{2,5},{4,7},{6,8}}
[2,1,5,7,4,8,3,6]=>{{1,2},{3,5},{4,7},{6,8}}
[4,5,7,1,3,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}
[4,6,7,3,8,1,5,2]=>{{1,4},{2,6},{3,7},{5,8}}
[5,6,7,8,3,1,4,2]=>{{1,5},{2,6},{3,7},{4,8}}
[4,6,7,1,8,3,5,2]=>{{1,4},{2,6},{3,7},{5,8}}
[3,6,1,7,8,4,5,2]=>{{1,3},{2,6},{4,7},{5,8}}
[2,1,6,7,8,4,5,3]=>{{1,2},{3,6},{4,7},{5,8}}
[2,1,6,7,8,4,3,5]=>{{1,2},{3,6},{4,7},{5,8}}
[4,6,7,1,8,3,2,5]=>{{1,4},{2,6},{3,7},{5,8}}
[5,6,7,8,1,3,2,4]=>{{1,5},{2,6},{3,7},{4,8}}
[4,6,7,2,8,3,5,1]=>{{1,4},{2,6},{3,7},{5,8}}
[3,6,2,7,8,4,5,1]=>{{1,3},{2,6},{4,7},{5,8}}
[3,6,2,7,8,4,1,5]=>{{1,3},{2,6},{4,7},{5,8}}
[3,4,2,1,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}
[4,6,7,2,8,5,3,1]=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,7,2,8,5,1,3]=>{{1,4},{2,6},{3,7},{5,8}}
[4,5,7,1,2,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}
[2,1,6,7,8,3,5,4]=>{{1,2},{3,6},{4,7},{5,8}}
[3,6,1,7,8,2,5,4]=>{{1,3},{2,6},{4,7},{5,8}}
[4,6,7,1,8,2,5,3]=>{{1,4},{2,6},{3,7},{5,8}}
[5,6,7,8,1,2,4,3]=>{{1,5},{2,6},{3,7},{4,8}}
[5,6,7,8,2,4,1,3]=>{{1,5},{2,6},{3,7},{4,8}}
[5,6,7,8,2,4,3,1]=>{{1,5},{2,6},{3,7},{4,8}}
[3,6,1,7,8,5,2,4]=>{{1,3},{2,6},{4,7},{5,8}}
[2,1,6,7,8,5,3,4]=>{{1,2},{3,6},{4,7},{5,8}}
[5,3,1,6,2,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}
[7,3,1,5,2,8,4,6]=>{{1,7},{2,3},{4,5},{6,8}}
[8,4,5,1,2,7,3,6]=>{{1,8},{2,4},{3,5},{6,7}}
[7,4,5,1,2,8,3,6]=>{{1,7},{2,4},{3,5},{6,8}}
[6,4,5,1,2,3,8,7]=>{{1,6},{2,4},{3,5},{7,8}}
[5,4,6,1,2,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}
[3,6,1,5,2,4,8,7]=>{{1,3},{2,6},{4,5},{7,8}}
[4,6,5,1,2,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}
[5,6,4,1,2,3,8,7]=>{{1,5},{2,6},{3,4},{7,8}}
[7,5,4,1,2,8,3,6]=>{{1,7},{2,5},{3,4},{6,8}}
[8,6,4,1,7,2,3,5]=>{{1,8},{2,6},{3,4},{5,7}}
[5,7,4,1,2,8,3,6]=>{{1,5},{2,7},{3,4},{6,8}}
[3,7,1,5,2,8,4,6]=>{{1,3},{2,7},{4,5},{6,8}}
[2,1,7,5,3,8,4,6]=>{{1,2},{3,7},{4,5},{6,8}}
[4,8,5,1,2,7,3,6]=>{{1,4},{2,8},{3,5},{6,7}}
[6,8,4,1,7,2,3,5]=>{{1,6},{2,8},{3,4},{5,7}}
[4,8,6,1,7,2,3,5]=>{{1,4},{2,8},{3,6},{5,7}}
[2,1,8,6,7,3,4,5]=>{{1,2},{3,8},{4,6},{5,7}}
[2,1,7,6,8,3,4,5]=>{{1,2},{3,7},{4,6},{5,8}}
[4,7,6,1,8,2,3,5]=>{{1,4},{2,7},{3,6},{5,8}}
[5,7,6,8,1,2,3,4]=>{{1,5},{2,7},{3,6},{4,8}}
[6,4,7,1,8,2,3,5]=>{{1,6},{2,4},{3,7},{5,8}}
[8,4,6,1,7,2,3,5]=>{{1,8},{2,4},{3,6},{5,7}}
[8,3,1,6,7,2,4,5]=>{{1,8},{2,3},{4,6},{5,7}}
[4,3,1,2,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}
[8,4,7,1,6,2,3,5]=>{{1,8},{2,4},{3,7},{5,6}}
[7,4,8,1,6,2,3,5]=>{{1,7},{2,4},{3,8},{5,6}}
[4,5,8,1,2,7,3,6]=>{{1,4},{2,5},{3,8},{6,7}}
[2,1,6,8,7,3,4,5]=>{{1,2},{3,6},{4,8},{5,7}}
[4,6,8,1,7,2,3,5]=>{{1,4},{2,6},{3,8},{5,7}}
[5,6,8,7,1,2,3,4]=>{{1,5},{2,6},{3,8},{4,7}}
[8,5,7,6,1,2,3,4]=>{{1,8},{2,5},{3,7},{4,6}}
[4,7,8,1,6,2,3,5]=>{{1,4},{2,7},{3,8},{5,6}}
[3,7,1,8,6,2,4,5]=>{{1,3},{2,7},{4,8},{5,6}}
[3,8,1,7,6,2,4,5]=>{{1,3},{2,8},{4,7},{5,6}}
[4,8,7,1,6,2,3,5]=>{{1,4},{2,8},{3,7},{5,6}}
[6,8,7,5,1,2,3,4]=>{{1,6},{2,8},{3,7},{4,5}}
[6,4,7,3,8,5,1,2]=>{{1,6},{2,4},{3,7},{5,8}}
[5,4,2,7,6,1,3,8]=>{{1,5,6},{2,4,7},{3},{8}}
[5,4,2,7,6,1,8,3]=>{{1,5,6},{2,4,7,8},{3}}
[5,4,3,7,6,8,1,2]=>{{1,5,6,8},{2,4,7},{3}}
[5,4,3,7,8,6,1,2]=>{{1,5,8},{2,4,7},{3},{6}}
[5,4,3,8,6,7,1,2]=>{{1,5,6,7},{2,4,8},{3}}
[5,4,3,6,8,7,1,2]=>{{1,5,8},{2,4,6,7},{3}}
[5,4,2,6,7,1,8,3]=>{{1,5,7,8},{2,4,6},{3}}
[5,3,2,6,1,7,4,8]=>{{1,5},{2,3},{4,6,7},{8}}
[5,3,2,6,1,7,8,4]=>{{1,5},{2,3},{4,6,7,8}}
[5,3,2,6,1,8,7,4]=>{{1,5},{2,3},{4,6,8},{7}}
[5,4,2,6,8,1,7,3]=>{{1,5,8},{2,4,6},{3},{7}}
[6,4,8,2,5,1,7,3]=>{{1,6},{2,4},{3,8},{5},{7}}
[5,4,2,8,6,1,3,7]=>{{1,5,6},{2,4,8},{3},{7}}
[5,3,2,6,1,8,4,7]=>{{1,5},{2,3},{4,6,8},{7}}
[6,3,8,2,1,5,4,7]=>{{1,6},{2,3,8},{4},{5},{7}}
[7,8,3,2,1,5,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,3,2,1,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,3,8,2,1,5,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}
[5,3,2,8,1,6,7,4]=>{{1,5},{2,3},{4,8},{6},{7}}
[5,4,2,7,8,1,6,3]=>{{1,5,8},{2,4,7},{3},{6}}
[5,3,2,7,1,8,6,4]=>{{1,5},{2,3},{4,7},{6,8}}
[5,3,2,7,1,6,4,8]=>{{1,5},{2,3},{4,7},{6},{8}}
[6,3,7,2,1,5,4,8]=>{{1,6},{2,3,7},{4},{5},{8}}
[6,3,7,2,1,5,8,4]=>{{1,6},{2,3,7,8},{4},{5}}
[6,3,7,2,1,8,5,4]=>{{1,6,8},{2,3,7},{4},{5}}
[6,5,7,8,2,1,4,3]=>{{1,6},{2,5},{3,7},{4,8}}
[6,3,7,2,1,4,8,5]=>{{1,6},{2,3,7,8},{4},{5}}
[5,3,2,7,1,4,8,6]=>{{1,5},{2,3},{4,7,8},{6}}
[5,4,2,8,7,1,3,6]=>{{1,5,7},{2,4,8},{3},{6}}
[7,8,4,2,6,1,3,5]=>{{1,7},{2,8},{3,4},{5,6}}
[7,8,3,2,1,6,4,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,3,8,2,1,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}
[5,3,2,8,1,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}
[4,3,2,1,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}
[4,3,2,1,7,5,8,6]=>{{1,4},{2,3},{5,7,8},{6}}
[4,3,2,1,7,5,6,8]=>{{1,4},{2,3},{5,7},{6},{8}}
[5,3,2,8,1,4,7,6]=>{{1,5},{2,3},{4,8},{6},{7}}
[6,3,8,2,1,4,7,5]=>{{1,6},{2,3,8},{4},{5},{7}}
[7,8,3,2,1,4,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,3,2,1,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}
[7,8,5,6,1,2,4,3]=>{{1,7},{2,8},{3,5},{4,6}}
[7,8,4,1,6,2,5,3]=>{{1,7},{2,8},{3,4},{5,6}}
[1,6,8,3,2,7,5,4]=>{{1},{2,6,7},{3,8},{4},{5}}
[6,1,8,3,2,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}
[7,8,1,3,2,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,3,1,2,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,2,3,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,2,1,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,1,2,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,5,2,8,3,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}
[5,1,2,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}
[5,2,1,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}
[6,2,8,1,3,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}
[6,2,8,4,7,1,5,3]=>{{1,6},{2},{3,8},{4},{5,7}}
[6,3,8,4,7,5,1,2]=>{{1,6},{2,3,8},{4},{5,7}}
[2,6,8,3,1,7,5,4]=>{{1,2,6,7},{3,8},{4},{5}}
[2,5,1,8,3,7,6,4]=>{{1,2,5},{3},{4,8},{6,7}}
[1,2,5,8,3,7,6,4]=>{{1},{2},{3,5},{4,8},{6,7}}
[2,5,3,8,1,7,6,4]=>{{1,2,5},{3},{4,8},{6,7}}
[2,5,4,8,7,1,6,3]=>{{1,2,5,7},{3,4,8},{6}}
[3,5,4,8,7,6,1,2]=>{{1,3,4,8},{2,5,7},{6}}
[5,3,4,8,7,6,1,2]=>{{1,5,7},{2,3,4,8},{6}}
[5,2,4,8,7,1,6,3]=>{{1,5,7},{2},{3,4,8},{6}}
[5,2,3,8,1,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}
[4,1,2,3,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}
[1,4,2,3,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}}
[4,1,3,2,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}
[6,3,8,1,2,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}
[5,3,1,8,2,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}
[5,1,3,8,2,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}
[1,5,3,8,2,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}
[1,5,4,8,7,2,6,3]=>{{1},{2,5,7},{3,4,8},{6}}
[5,1,4,8,7,2,6,3]=>{{1,5,7},{2},{3,4,8},{6}}
[5,4,1,8,7,2,6,3]=>{{1,5,7},{2,4,8},{3},{6}}
[6,5,8,7,1,2,4,3]=>{{1,6},{2,5},{3,8},{4,7}}
[5,6,8,7,3,4,1,2]=>{{1,5},{2,6},{3,8},{4,7}}
[5,6,8,7,2,1,4,3]=>{{1,5},{2,6},{3,8},{4,7}}
[4,5,1,8,7,2,6,3]=>{{1,4,8},{2,5,7},{3},{6}}
[4,1,5,8,7,2,6,3]=>{{1,4,8},{2},{3,5,7},{6}}
[1,3,5,8,2,7,6,4]=>{{1},{2,3,5},{4,8},{6,7}}
[3,1,5,8,2,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}
[3,6,8,2,1,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}
[4,6,8,3,7,5,1,2]=>{{1,4},{2,6},{3,8},{5,7}}
[4,5,3,8,7,6,1,2]=>{{1,4,8},{2,5,7},{3},{6}}
[3,5,2,8,1,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}
[3,1,4,2,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}
[3,2,5,8,1,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}
[4,2,5,8,7,1,6,3]=>{{1,4,8},{2},{3,5,7},{6}}
[4,3,5,8,7,6,1,2]=>{{1,4,8},{2,3,5,7},{6}}
[2,4,5,8,7,1,6,3]=>{{1,2,4,8},{3,5,7},{6}}
[2,3,5,8,1,7,6,4]=>{{1,2,3,5},{4,8},{6,7}}
[6,2,5,1,4,3,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}
[5,2,6,1,4,3,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}
[5,2,7,1,4,3,8,6]=>{{1,5},{2},{3,7,8},{4},{6}}
[6,2,8,1,4,3,7,5]=>{{1,6},{2},{3,8},{4},{5},{7}}
[6,2,7,1,4,3,8,5]=>{{1,6},{2},{3,7,8},{4},{5}}
[7,2,6,1,4,3,8,5]=>{{1,7,8},{2},{3,6},{4},{5}}
[8,2,5,1,4,3,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}
[8,1,4,3,7,2,6,5]=>{{1,8},{2},{3,4},{5,7},{6}}
[8,2,6,1,5,3,7,4]=>{{1,8},{2},{3,6},{4},{5},{7}}
[7,2,6,1,5,3,8,4]=>{{1,7,8},{2},{3,6},{4},{5}}
[6,2,7,1,5,3,8,4]=>{{1,6},{2},{3,7,8},{4},{5}}
[6,2,8,1,5,3,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}
[7,4,8,1,3,2,6,5]=>{{1,7},{2,4},{3,8},{5},{6}}
[8,3,7,1,4,2,6,5]=>{{1,8},{2,3,7},{4},{5},{6}}
[8,3,7,1,5,2,6,4]=>{{1,8},{2,3,7},{4},{5},{6}}
[7,3,8,1,5,2,6,4]=>{{1,7},{2,3,8},{4},{5},{6}}
[6,2,7,3,8,1,5,4]=>{{1,6},{2},{3,7},{4},{5,8}}
[6,2,8,3,7,1,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}
[5,1,8,3,7,2,6,4]=>{{1,5,7},{2},{3,8},{4},{6}}
[4,1,8,3,7,2,6,5]=>{{1,4},{2},{3,8},{5,7},{6}}
[3,1,7,4,8,2,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}
[4,1,7,3,8,2,6,5]=>{{1,4},{2},{3,7},{5,8},{6}}
[5,1,7,3,8,2,6,4]=>{{1,5,8},{2},{3,7},{4},{6}}
[7,3,8,2,6,1,5,4]=>{{1,7},{2,3,8},{4},{5,6}}
[8,2,6,3,7,1,5,4]=>{{1,8},{2},{3,6},{4},{5,7}}
[3,4,2,6,8,1,5,7]=>{{1,3},{2,4,6},{5,8},{7}}
[5,3,6,2,8,1,4,7]=>{{1,5,8},{2,3,6},{4},{7}}
[7,4,2,5,8,3,6,1]=>{{1,7},{2,4,5,8},{3},{6}}
[4,5,2,6,3,8,1,7]=>{{1,4,6,8},{2,5},{3},{7}}
[3,5,6,1,4,8,2,7]=>{{1,3,6,8},{2,5},{4},{7}}
[4,1,5,6,3,8,2,7]=>{{1,4,6,8},{2},{3,5},{7}}
[4,5,1,6,3,8,2,7]=>{{1,4,6,8},{2,5},{3},{7}}
[4,5,6,3,2,8,1,7]=>{{1,4},{2,5},{3,6,8},{7}}
[6,7,4,8,3,2,5,1]=>{{1,6},{2,7},{3,4,8},{5}}
[6,7,4,8,3,2,1,5]=>{{1,6},{2,7},{3,4,8},{5}}
[6,7,4,1,8,3,2,5]=>{{1,6},{2,7},{3,4},{5,8}}
[5,3,7,8,1,4,2,6]=>{{1,5},{2,3,7},{4,8},{6}}
[7,3,5,8,1,4,6,2]=>{{1,7},{2,3,5},{4,8},{6}}
[4,5,1,7,8,3,6,2]=>{{1,4,7},{2,5,8},{3},{6}}
[7,4,1,5,8,3,6,2]=>{{1,7},{2,4,5,8},{3},{6}}
[6,7,4,3,8,1,5,2]=>{{1,6},{2,7},{3,4},{5,8}}
[5,6,1,7,3,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}
[5,1,6,7,3,8,4,2]=>{{1,5},{2},{3,6,8},{4,7}}
[6,4,7,1,8,3,5,2]=>{{1,6},{2,4},{3,7},{5,8}}
[6,7,8,3,1,4,5,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,2,8,4,5,1,3]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,2,8,4,1,3,5]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,1,7,4,8,3,2,5]=>{{1,6},{2},{3,7},{4},{5,8}}
[5,1,6,7,3,2,8,4]=>{{1,5},{2},{3,6},{4,7,8}}
[5,6,1,7,3,2,8,4]=>{{1,5},{2,6},{3},{4,7,8}}
[5,6,7,3,2,1,8,4]=>{{1,5},{2,6},{3,7,8},{4}}
[5,6,7,3,2,8,4,1]=>{{1,5},{2,6,8},{3,7},{4}}
[7,4,2,5,1,8,3,6]=>{{1,7},{2,4,5},{3},{6,8}}
[6,7,4,2,8,3,5,1]=>{{1,6},{2,7},{3,4},{5,8}}
[3,6,7,2,8,4,5,1]=>{{1,3,7},{2,6},{4},{5,8}}
[3,6,7,2,8,4,1,5]=>{{1,3,7},{2,6},{4},{5,8}}
[3,6,7,2,1,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}
[3,4,7,8,2,1,5,6]=>{{1,3,7},{2,4,8},{5},{6}}
[3,7,8,1,4,6,2,5]=>{{1,3,8},{2,7},{4},{5},{6}}
[3,6,7,2,8,5,1,4]=>{{1,3,7},{2,6},{4},{5,8}}
[3,6,7,8,5,2,1,4]=>{{1,3,7},{2,6},{4,8},{5}}
[3,6,7,8,5,2,4,1]=>{{1,3,7},{2,6},{4,8},{5}}
[6,4,7,8,2,5,3,1]=>{{1,6},{2,4,8},{3,7},{5}}
[6,4,7,8,2,1,5,3]=>{{1,6},{2,4,8},{3,7},{5}}
[5,3,7,8,1,6,2,4]=>{{1,5},{2,3,7},{4,8},{6}}
[6,7,2,8,5,1,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,4,1,7,8,2,5,3]=>{{1,6},{2,4,7},{3},{5,8}}
[5,1,6,2,7,8,4,3]=>{{1,5,7},{2},{3,6,8},{4}}
[5,6,2,7,1,8,4,3]=>{{1,5},{2,6,8},{3},{4,7}}
[5,6,2,7,8,4,3,1]=>{{1,5,8},{2,6},{3},{4,7}}
[5,6,7,2,8,4,3,1]=>{{1,5,8},{2,6},{3,7},{4}}
[5,6,7,2,1,8,4,3]=>{{1,5},{2,6,8},{3,7},{4}}
[5,6,1,7,2,8,4,3]=>{{1,5},{2,6,8},{3},{4,7}}
[5,1,6,7,2,8,4,3]=>{{1,5},{2},{3,6,8},{4,7}}
[6,7,8,3,5,1,4,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,6,1,7,8,4,3,2]=>{{1,5,8},{2,6},{3},{4,7}}
[5,6,7,1,8,4,3,2]=>{{1,5,8},{2,6},{3,7},{4}}
[8,3,2,5,1,6,4,7]=>{{1,8},{2,3},{4,5},{6},{7}}
[5,3,2,7,4,1,8,6]=>{{1,5},{2,3},{4,7,8},{6}}
[7,5,3,8,2,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}
[8,2,4,5,6,3,1,7]=>{{1,8},{2},{3,4,5,6},{7}}
[8,2,4,5,6,1,3,7]=>{{1,8},{2},{3,4,5,6},{7}}
[8,5,3,6,4,1,2,7]=>{{1,8},{2,5},{3},{4,6},{7}}
[8,4,1,5,6,3,2,7]=>{{1,8},{2,4,5,6},{3},{7}}
[8,1,4,5,6,3,2,7]=>{{1,8},{2},{3,4,5,6},{7}}
[4,5,3,7,2,1,8,6]=>{{1,4,7,8},{2,5},{3},{6}}
[7,4,5,8,3,2,6,1]=>{{1,7},{2,4,8},{3,5},{6}}
[4,3,6,7,2,8,5,1]=>{{1,4,7},{2,3,6,8},{5}}
[4,3,6,7,2,8,1,5]=>{{1,4,7},{2,3,6,8},{5}}
[1,4,3,6,7,2,8,5]=>{{1},{2,4,6},{3},{5,7,8}}
[4,5,3,7,1,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}
[5,3,4,7,1,2,8,6]=>{{1,5},{2,3,4,7,8},{6}}
[7,4,5,8,3,6,1,2]=>{{1,7},{2,4,8},{3,5},{6}}
[4,3,6,7,8,1,5,2]=>{{1,4,7},{2,3,6},{5,8}}
[3,5,6,7,8,4,1,2]=>{{1,3,6},{2,5,8},{4,7}}
[3,1,5,6,7,8,4,2]=>{{1,3,5,7},{2},{4,6,8}}
[4,6,1,7,8,3,5,2]=>{{1,4,7},{2,6},{3},{5,8}}
[6,2,4,1,7,8,5,3]=>{{1,6,8},{2},{3,4},{5,7}}
[2,6,7,1,4,8,3,5]=>{{1,2,6,8},{3,7},{4},{5}}
[1,5,3,6,7,8,2,4]=>{{1},{2,5,7},{3},{4,6,8}}
[4,5,2,7,8,1,3,6]=>{{1,4,7},{2,5,8},{3},{6}}
[4,2,6,7,8,3,1,5]=>{{1,4,7},{2},{3,6},{5,8}}
[4,2,6,7,8,3,5,1]=>{{1,4,7},{2},{3,6},{5,8}}
[3,6,2,7,4,8,1,5]=>{{1,3},{2,6,8},{4,7},{5}}
[3,7,4,2,1,5,8,6]=>{{1,3,4},{2,7,8},{5},{6}}
[7,8,4,2,1,3,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}
[6,3,2,7,1,8,5,4]=>{{1,6,8},{2,3},{4,7},{5}}
[3,6,2,7,1,8,5,4]=>{{1,3},{2,6,8},{4,7},{5}}
[6,7,3,8,2,5,4,1]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,4,7,8,5,2,3,1]=>{{1,6},{2,4,8},{3,7},{5}}
[2,6,4,7,8,1,5,3]=>{{1,2,6},{3,4,7},{5,8}}
[7,4,1,5,8,6,2,3]=>{{1,7},{2,4,5,8},{3},{6}}
[7,5,8,2,1,6,3,4]=>{{1,7},{2,5},{3,8},{4},{6}}
[6,2,7,1,3,8,5,4]=>{{1,6,8},{2},{3,7},{4},{5}}
[6,3,1,7,8,2,5,4]=>{{1,6},{2,3},{4,7},{5,8}}
[4,6,1,7,8,5,2,3]=>{{1,4,7},{2,6},{3},{5,8}}
[5,1,2,6,7,8,4,3]=>{{1,5,7},{2},{3},{4,6,8}}
[5,2,6,7,8,4,3,1]=>{{1,5,8},{2},{3,6},{4,7}}
[1,6,4,7,8,5,2,3]=>{{1},{2,6},{3,4,7},{5,8}}
[2,6,7,1,3,8,5,4]=>{{1,2,6,8},{3,7},{4},{5}}
[6,7,3,8,5,1,4,2]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,4,7,8,5,3,1,2]=>{{1,6},{2,4,8},{3,7},{5}}
[3,1,2,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}
[4,5,1,2,3,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}
[4,6,1,2,3,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}
[1,6,5,3,4,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}}
[6,1,5,2,4,8,7,3]=>{{1,6,8},{2},{3,5},{4},{7}}
[6,5,1,2,3,8,7,4]=>{{1,6,8},{2,5},{3},{4},{7}}
[6,4,1,2,3,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}
[5,4,1,2,3,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}
[5,4,1,2,7,3,6,8]=>{{1,5,7},{2,4},{3},{6},{8}}
[6,4,1,7,2,3,5,8]=>{{1,6},{2,4,7},{3},{5},{8}}
[6,4,1,8,2,3,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}
[7,4,1,2,8,3,6,5]=>{{1,7},{2,4},{3},{5,8},{6}}
[7,5,1,2,8,3,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}
[7,1,5,2,8,4,6,3]=>{{1,7},{2},{3,5,8},{4},{6}}
[1,7,5,3,8,4,6,2]=>{{1},{2,7},{3,5,8},{4},{6}}
[8,4,1,2,7,3,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}
[8,4,1,7,2,3,5,6]=>{{1,8},{2,4,7},{3},{5},{6}}
[7,4,1,6,2,3,5,8]=>{{1,7},{2,4,6},{3},{5},{8}}
[8,6,1,7,2,3,5,4]=>{{1,8},{2,6},{3},{4,7},{5}}
[8,1,6,7,2,4,5,3]=>{{1,8},{2},{3,6},{4,7},{5}}
[1,7,6,8,3,4,5,2]=>{{1},{2,7},{3,6},{4,8},{5}}
[7,6,1,8,2,3,5,4]=>{{1,7},{2,6},{3},{4,8},{5}}
[3,1,2,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}
[3,1,8,7,2,4,5,6]=>{{1,3,8},{2},{4,7},{5},{6}}
[3,1,7,6,2,4,5,8]=>{{1,3,7},{2},{4,6},{5},{8}}
[4,7,1,6,2,3,5,8]=>{{1,4,6},{2,7},{3},{5},{8}}
[4,8,1,6,2,3,5,7]=>{{1,4,6},{2,8},{3},{5},{7}}
[5,8,1,2,7,3,6,4]=>{{1,5,7},{2,8},{3},{4},{6}}
[5,1,8,2,7,4,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[1,5,8,3,7,4,6,2]=>{{1},{2,5,7},{3,8},{4},{6}}
[1,6,8,7,3,4,5,2]=>{{1},{2,6},{3,8},{4,7},{5}}
[6,1,8,7,2,4,5,3]=>{{1,6},{2},{3,8},{4,7},{5}}
[6,8,1,7,2,3,5,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,8,7,1,2,3,4,5]=>{{1,6},{2,8},{3,7},{4},{5}}
[5,8,6,1,2,3,4,7]=>{{1,5},{2,8},{3,6},{4},{7}}
[5,7,6,1,2,3,4,8]=>{{1,5},{2,7},{3,6},{4},{8}}
[7,8,1,6,2,3,5,4]=>{{1,7},{2,8},{3},{4,6},{5}}
[7,1,8,6,2,4,5,3]=>{{1,7},{2},{3,8},{4,6},{5}}
[1,7,8,6,3,4,5,2]=>{{1},{2,7},{3,8},{4,6},{5}}
[8,1,7,6,2,4,5,3]=>{{1,8},{2},{3,7},{4,6},{5}}
[8,7,1,6,2,3,5,4]=>{{1,8},{2,7},{3},{4,6},{5}}
[8,5,3,7,2,1,4,6]=>{{1,8},{2,5},{3},{4,7},{6}}
[6,8,1,4,5,7,3,2]=>{{1,6,7},{2,8},{3},{4},{5}}
[8,7,2,4,5,1,3,6]=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,6,1,4,5,3,8,7]=>{{1,2,6},{3},{4},{5},{7,8}}
[6,3,1,4,5,2,8,7]=>{{1,6},{2,3},{4},{5},{7,8}}
[3,1,6,4,5,2,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}
[8,3,7,4,5,1,2,6]=>{{1,8},{2,3,7},{4},{5},{6}}
[5,8,7,4,2,6,3,1]=>{{1,5},{2,8},{3,7},{4},{6}}
[8,1,7,4,2,6,3,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[3,7,8,4,5,1,2,6]=>{{1,3,8},{2,7},{4},{5},{6}}
[5,6,3,8,1,7,2,4]=>{{1,5},{2,6,7},{3},{4,8}}
[7,6,1,4,5,8,3,2]=>{{1,7},{2,6,8},{3},{4},{5}}
[3,7,6,4,5,8,2,1]=>{{1,3,6,8},{2,7},{4},{5}}
[8,5,7,4,1,6,3,2]=>{{1,8},{2,5},{3,7},{4},{6}}
[2,5,8,4,7,6,1,3]=>{{1,2,5,7},{3,8},{4},{6}}
[3,8,4,2,5,6,7,1]=>{{1,3,4},{2,8},{5},{6},{7}}
[8,4,1,3,5,6,7,2]=>{{1,8},{2,4},{3},{5},{6},{7}}
[7,5,8,4,3,6,1,2]=>{{1,7},{2,5},{3,8},{4},{6}}
[6,5,3,8,4,1,7,2]=>{{1,6},{2,5},{3},{4,8},{7}}
[2,1,4,8,3,6,7,5]=>{{1,2},{3,4,8},{5},{6},{7}}
[7,3,8,4,2,6,1,5]=>{{1,7},{2,3,8},{4},{5},{6}}
[8,3,1,2,5,6,7,4]=>{{1,8},{2,3},{4},{5},{6},{7}}
[4,8,2,3,5,6,7,1]=>{{1,4},{2,8},{3},{5},{6},{7}}
[2,7,8,4,5,3,1,6]=>{{1,2,7},{3,8},{4},{5},{6}}
[8,7,1,4,3,6,2,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[5,6,3,8,4,2,7,1]=>{{1,5},{2,6},{3},{4,8},{7}}
[8,6,3,1,4,2,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,6,3,5,1,2,7,4]=>{{1,8},{2,6},{3},{4,5},{7}}
[5,8,3,2,6,1,7,4]=>{{1,5,6},{2,8},{3},{4},{7}}
[3,5,8,4,7,6,2,1]=>{{1,3,8},{2,5,7},{4},{6}}
[5,8,2,4,7,6,1,3]=>{{1,5,7},{2,8},{3},{4},{6}}
[7,1,6,4,5,8,2,3]=>{{1,7},{2},{3,6,8},{4},{5}}
[2,1,8,5,3,6,7,4]=>{{1,2},{3,8},{4,5},{6},{7}}
[6,8,3,5,2,1,7,4]=>{{1,6},{2,8},{3},{4,5},{7}}
[7,8,5,4,2,6,1,3]=>{{1,7},{2,8},{3,5},{4},{6}}
[4,8,1,2,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}
[3,4,2,8,5,6,7,1]=>{{1,3},{2,4,8},{5},{6},{7}}
[2,4,1,8,5,6,7,3]=>{{1,2,4,8},{3},{5},{6},{7}}
[8,4,2,1,5,6,7,3]=>{{1,8},{2,4},{3},{5},{6},{7}}
[7,5,2,4,8,6,1,3]=>{{1,7},{2,5,8},{3},{4},{6}}
[2,1,5,3,8,6,7,4]=>{{1,2},{3,5,8},{4},{6},{7}}
[3,1,4,8,5,6,7,2]=>{{1,3,4,8},{2},{5},{6},{7}}
[6,5,3,7,2,8,4,1]=>{{1,6,8},{2,5},{3},{4,7}}
[6,7,2,4,5,8,3,1]=>{{1,6,8},{2,7},{3},{4},{5}}
[2,5,7,4,8,6,3,1]=>{{1,2,5,8},{3,7},{4},{6}}
[5,6,3,7,1,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}
[3,8,7,4,5,2,1,6]=>{{1,3,7},{2,8},{4},{5},{6}}
[3,7,5,4,8,6,2,1]=>{{1,3,5,8},{2,7},{4},{6}}
[4,6,3,5,8,2,7,1]=>{{1,4,5,8},{2,6},{3},{7}}
[3,7,8,4,1,6,2,5]=>{{1,3,8},{2,7},{4},{5},{6}}
[5,4,2,3,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}
[3,2,7,6,4,5,1,8]=>{{1,3,7},{2},{4,6},{5},{8}}
[4,7,2,6,3,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}
[5,7,6,2,3,4,1,8]=>{{1,5},{2,7},{3,6},{4},{8}}
[1,7,5,2,8,3,4,6]=>{{1},{2,7},{3,5,8},{4},{6}}
[6,8,5,2,3,1,4,7]=>{{1,6},{2,8},{3,5},{4},{7}}
[4,8,2,6,3,1,5,7]=>{{1,4,6},{2,8},{3},{5},{7}}
[3,2,8,6,4,1,5,7]=>{{1,3,8},{2},{4,6},{5},{7}}
[7,1,5,2,8,3,4,6]=>{{1,7},{2},{3,5,8},{4},{6}}
[1,8,5,2,7,3,4,6]=>{{1},{2,8},{3,5,7},{4},{6}}
[7,1,6,8,2,3,4,5]=>{{1,7},{2},{3,6},{4,8},{5}}
[3,2,1,7,8,4,5,6]=>{{1,3},{2},{4,7},{5,8},{6}}
[3,2,8,7,1,4,5,6]=>{{1,3,8},{2},{4,7},{5},{6}}
[5,8,7,2,1,3,4,6]=>{{1,5},{2,8},{3,7},{4},{6}}
[1,7,6,8,2,3,4,5]=>{{1},{2,7},{3,6},{4,8},{5}}
[6,5,8,2,3,1,4,7]=>{{1,6},{2,5},{3,8},{4},{7}}
[8,5,7,2,1,3,4,6]=>{{1,8},{2,5},{3,7},{4},{6}}
[3,2,5,4,1,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}
[7,4,2,1,8,3,5,6]=>{{1,7},{2,4},{3},{5,8},{6}}
[8,4,2,1,7,3,5,6]=>{{1,8},{2,4},{3},{5,7},{6}}
[1,4,2,8,7,3,5,6]=>{{1},{2,4,8},{3},{5,7},{6}}
[1,5,8,2,7,3,4,6]=>{{1},{2,5,7},{3,8},{4},{6}}
[8,5,1,2,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}
[3,2,6,1,4,8,5,7]=>{{1,3,6,8},{2},{4},{5},{7}}
[3,2,7,1,8,4,5,6]=>{{1,3,7},{2},{4},{5,8},{6}}
[4,7,2,1,8,3,5,6]=>{{1,4},{2,7},{3},{5,8},{6}}
[8,6,1,7,2,3,4,5]=>{{1,8},{2,6},{3},{4,7},{5}}
[1,6,8,7,2,3,4,5]=>{{1},{2,6},{3,8},{4,7},{5}}
[1,7,8,6,2,3,4,5]=>{{1},{2,7},{3,8},{4,6},{5}}
[7,8,1,6,2,3,4,5]=>{{1,7},{2,8},{3},{4,6},{5}}
[4,8,2,1,7,3,5,6]=>{{1,4},{2,8},{3},{5,7},{6}}
[3,2,8,1,7,4,5,6]=>{{1,3,8},{2},{4},{5,7},{6}}
[5,1,8,2,7,3,4,6]=>{{1,5,7},{2},{3,8},{4},{6}}
[6,1,8,7,2,3,4,5]=>{{1,6},{2},{3,8},{4,7},{5}}
[8,1,7,6,2,3,4,5]=>{{1,8},{2},{3,7},{4,6},{5}}
[2,8,4,1,6,5,7,3]=>{{1,2,8},{3,4},{5,6},{7}}
[2,8,5,6,7,4,3,1]=>{{1,2,8},{3,5,7},{4,6}}
[7,5,8,6,1,4,2,3]=>{{1,7},{2,5},{3,8},{4,6}}
[3,5,7,6,1,4,2,8]=>{{1,3,7},{2,5},{4,6},{8}}
[7,5,8,2,4,1,6,3]=>{{1,7},{2,5},{3,8},{4},{6}}
[2,8,5,3,4,7,6,1]=>{{1,2,8},{3,5},{4},{6,7}}
[2,8,5,3,4,1,7,6]=>{{1,2,8},{3,5},{4},{6},{7}}
[2,8,5,3,6,1,7,4]=>{{1,2,8},{3,5,6},{4},{7}}
[2,8,5,6,7,4,1,3]=>{{1,2,8},{3,5,7},{4,6}}
[2,8,5,3,4,7,1,6]=>{{1,2,8},{3,5},{4},{6,7}}
[2,8,5,3,4,6,1,7]=>{{1,2,8},{3,5},{4},{6},{7}}
[6,5,2,7,3,1,4,8]=>{{1,6},{2,5},{3},{4,7},{8}}
[6,5,2,8,3,1,7,4]=>{{1,6},{2,5},{3},{4,8},{7}}
[6,5,2,8,3,1,4,7]=>{{1,6},{2,5},{3},{4,8},{7}}
[7,5,8,2,4,6,3,1]=>{{1,7},{2,5},{3,8},{4},{6}}
[7,5,8,6,1,4,3,2]=>{{1,7},{2,5},{3,8},{4,6}}
[6,5,8,2,1,3,7,4]=>{{1,6},{2,5},{3,8},{4},{7}}
[3,5,6,2,1,8,7,4]=>{{1,3,6,8},{2,5},{4},{7}}
[3,5,7,2,4,1,8,6]=>{{1,3,7,8},{2,5},{4},{6}}
[6,5,2,7,3,1,8,4]=>{{1,6},{2,5},{3},{4,7,8}}
[4,5,2,6,3,1,7,8]=>{{1,4,6},{2,5},{3},{7},{8}}
[6,5,2,7,3,4,8,1]=>{{1,6},{2,5},{3},{4,7,8}}
[5,1,6,7,4,3,8,2]=>{{1,5},{2},{3,6},{4,7,8}}
[5,1,2,6,4,8,7,3]=>{{1,5},{2},{3},{4,6,8},{7}}
[5,1,2,8,6,4,7,3]=>{{1,5,6},{2},{3},{4,8},{7}}
[5,1,6,8,7,3,4,2]=>{{1,5,7},{2},{3,6},{4,8}}
[6,5,2,8,3,7,4,1]=>{{1,6,7},{2,5},{3},{4,8}}
[4,1,2,3,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,2,3,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,2,3,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}
[6,5,8,2,4,3,7,1]=>{{1,6},{2,5},{3,8},{4},{7}}
[6,5,2,8,3,7,1,4]=>{{1,6,7},{2,5},{3},{4,8}}
[6,5,2,7,3,4,1,8]=>{{1,6},{2,5},{3},{4,7},{8}}
[5,1,6,7,4,3,2,8]=>{{1,5},{2},{3,6},{4,7},{8}}
[5,1,6,8,7,3,2,4]=>{{1,5,7},{2},{3,6},{4,8}}
[5,7,8,6,3,4,2,1]=>{{1,5},{2,7},{3,8},{4,6}}
[3,1,4,8,6,2,7,5]=>{{1,3,4,8},{2},{5,6},{7}}
[3,1,4,8,6,5,2,7]=>{{1,3,4,8},{2},{5,6},{7}}
[4,1,6,7,8,3,2,5]=>{{1,4,7},{2},{3,6},{5,8}}
[4,1,6,5,7,3,2,8]=>{{1,4,5,7},{2},{3,6},{8}}
[4,5,2,6,3,7,1,8]=>{{1,4,6,7},{2,5},{3},{8}}
[4,5,2,7,3,8,1,6]=>{{1,4,7},{2,5},{3},{6,8}}
[3,5,6,2,4,8,1,7]=>{{1,3,6,8},{2,5},{4},{7}}
[3,7,5,6,8,4,1,2]=>{{1,3,5,8},{2,7},{4,6}}
[3,6,5,2,8,1,7,4]=>{{1,3,5,8},{2,6},{4},{7}}
[6,1,2,5,8,4,7,3]=>{{1,6},{2},{3},{4,5,8},{7}}
[4,1,2,3,5,8,7,6]=>{{1,4},{2},{3},{5},{6,8},{7}}
[4,1,6,7,8,3,5,2]=>{{1,4,7},{2},{3,6},{5,8}}
[4,1,2,6,8,5,7,3]=>{{1,4,6},{2},{3},{5,8},{7}}
[4,1,2,5,6,8,7,3]=>{{1,4,5,6,8},{2},{3},{7}}
[4,5,2,6,3,7,8,1]=>{{1,4,6,7,8},{2,5},{3}}
[6,3,1,2,7,4,8,5]=>{{1,6},{2,3},{4},{5,7,8}}
[6,4,2,7,1,3,8,5]=>{{1,6},{2,4,7,8},{3},{5}}
[7,4,2,5,1,3,8,6]=>{{1,7,8},{2,4,5},{3},{6}}
[8,5,3,6,1,7,2,4]=>{{1,8},{2,5},{3},{4,6,7}}
[8,3,6,2,4,7,1,5]=>{{1,8},{2,3,6,7},{4},{5}}
[7,3,6,2,4,8,1,5]=>{{1,7},{2,3,6,8},{4},{5}}
[6,3,7,4,1,2,8,5]=>{{1,6},{2,3,7,8},{4},{5}}
[4,7,1,5,2,3,8,6]=>{{1,4,5},{2,7,8},{3},{6}}
[3,7,5,1,2,4,8,6]=>{{1,3,5},{2,7,8},{4},{6}}
[8,6,4,2,3,7,1,5]=>{{1,8},{2,6,7},{3,4},{5}}
[4,7,6,3,8,1,2,5]=>{{1,4},{2,7},{3,6},{5,8}}
[5,7,2,6,1,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}
[7,4,8,5,2,6,1,3]=>{{1,7},{2,4,5},{3,8},{6}}
[5,8,2,6,3,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}
[3,8,6,1,2,7,4,5]=>{{1,3,6,7},{2,8},{4},{5}}
[3,8,6,2,4,7,1,5]=>{{1,3,6,7},{2,8},{4},{5}}
[6,8,4,3,7,1,2,5]=>{{1,6},{2,8},{3,4},{5,7}}
[3,8,5,7,1,2,4,6]=>{{1,3,5},{2,8},{4,7},{6}}
[2,8,5,7,1,3,4,6]=>{{1,2,8},{3,5},{4,7},{6}}
[4,8,6,2,7,1,3,5]=>{{1,4},{2,8},{3,6},{5,7}}
[7,3,8,5,6,1,2,4]=>{{1,7},{2,3,8},{4,5,6}}
[6,3,7,5,8,1,2,4]=>{{1,6},{2,3,7},{4,5,8}}
[2,7,6,4,8,1,3,5]=>{{1,2,7},{3,6},{4},{5,8}}
[3,6,5,8,1,2,4,7]=>{{1,3,5},{2,6},{4,8},{7}}
[5,4,7,3,8,1,2,6]=>{{1,5,8},{2,4},{3,7},{6}}
[8,4,6,3,7,1,2,5]=>{{1,8},{2,4},{3,6},{5,7}}
[8,4,1,6,7,2,3,5]=>{{1,8},{2,4,6},{3},{5,7}}
[5,4,1,7,8,2,3,6]=>{{1,5,8},{2,4,7},{3},{6}}
[6,5,1,2,7,8,3,4]=>{{1,6,8},{2,5,7},{3},{4}}
[4,7,1,5,8,6,2,3]=>{{1,4,5,8},{2,7},{3},{6}}
[7,4,1,8,6,2,3,5]=>{{1,7},{2,4,8},{3},{5,6}}
[7,6,1,8,5,2,3,4]=>{{1,7},{2,6},{3},{4,8},{5}}
[8,6,1,7,5,2,3,4]=>{{1,8},{2,6},{3},{4,7},{5}}
[5,7,2,8,1,6,3,4]=>{{1,5},{2,7},{3},{4,8},{6}}
[6,3,7,8,5,1,2,4]=>{{1,6},{2,3,7},{4,8},{5}}
[3,6,8,2,7,1,4,5]=>{{1,3,8},{2,6},{4},{5,7}}
[5,3,8,7,1,2,4,6]=>{{1,5},{2,3,8},{4,7},{6}}
[8,3,7,6,1,2,4,5]=>{{1,8},{2,3,7},{4,6},{5}}
[8,4,7,6,1,2,3,5]=>{{1,8},{2,4,6},{3,7},{5}}
[5,4,8,7,1,2,3,6]=>{{1,5},{2,4,7},{3,8},{6}}
[3,5,8,7,1,2,4,6]=>{{1,3,8},{2,5},{4,7},{6}}
[2,5,8,7,1,3,4,6]=>{{1,2,5},{3,8},{4,7},{6}}
[4,7,1,8,6,2,3,5]=>{{1,4,8},{2,7},{3},{5,6}}
[7,5,8,6,4,1,2,3]=>{{1,7},{2,5},{3,8},{4,6}}
[6,8,4,7,5,1,2,3]=>{{1,6},{2,8},{3,4,7},{5}}
[5,8,7,1,6,2,3,4]=>{{1,5,6},{2,8},{3,7},{4}}
[2,8,7,6,1,3,4,5]=>{{1,2,8},{3,7},{4,6},{5}}
[3,8,7,6,1,2,4,5]=>{{1,3,7},{2,8},{4,6},{5}}
[4,8,7,6,1,2,3,5]=>{{1,4,6},{2,8},{3,7},{5}}
[5,6,3,1,4,2,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}
[7,5,3,8,2,1,6,4]=>{{1,7},{2,5},{3},{4,8},{6}}
[3,8,7,4,5,1,6,2]=>{{1,3,7},{2,8},{4},{5},{6}}
[6,7,1,4,5,8,2,3]=>{{1,6,8},{2,7},{3},{4},{5}}
[2,1,7,8,5,3,6,4]=>{{1,2},{3,7},{4,8},{5},{6}}
[5,7,3,8,1,2,6,4]=>{{1,5},{2,7},{3},{4,8},{6}}
[7,5,1,4,8,6,3,2]=>{{1,7},{2,5,8},{3},{4},{6}}
[6,4,3,8,1,5,7,2]=>{{1,6},{2,4,8},{3},{5},{7}}
[8,6,3,1,2,5,7,4]=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,7,1,4,2,6,5,3]=>{{1,8},{2,7},{3},{4},{5},{6}}
[7,3,8,4,1,6,5,2]=>{{1,7},{2,3,8},{4},{5},{6}}
[5,3,2,7,4,6,8,1]=>{{1,5},{2,3},{4,7,8},{6}}
[7,5,3,6,2,4,8,1]=>{{1,7,8},{2,5},{3},{4,6}}
[6,3,2,5,1,8,4,7]=>{{1,6,8},{2,3},{4,5},{7}}
[8,5,3,6,2,7,1,4]=>{{1,8},{2,5},{3},{4,6,7}}
[7,2,6,3,4,5,8,1]=>{{1,7,8},{2},{3,6},{4},{5}}
[6,2,7,3,4,5,8,1]=>{{1,6},{2},{3,7,8},{4},{5}}
[6,7,3,5,2,4,8,1]=>{{1,6},{2,7,8},{3},{4,5}}
[3,7,6,2,4,5,8,1]=>{{1,3,6},{2,7,8},{4},{5}}
[6,5,3,1,2,8,4,7]=>{{1,6,8},{2,5},{3},{4},{7}}
[8,6,5,2,3,7,1,4]=>{{1,8},{2,6,7},{3,5},{4}}
[8,5,2,1,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}
[7,5,2,1,8,3,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}
[1,6,3,2,8,4,5,7]=>{{1},{2,6},{3},{4},{5,8},{7}}
[5,7,3,1,2,8,4,6]=>{{1,5},{2,7},{3},{4},{6,8}}
[4,2,6,5,1,8,3,7]=>{{1,4,5},{2},{3,6,8},{7}}
[5,4,8,6,2,7,1,3]=>{{1,5},{2,4,6,7},{3,8}}
[7,8,5,2,3,6,1,4]=>{{1,7},{2,8},{3,5},{4},{6}}
[6,8,2,1,7,3,4,5]=>{{1,6},{2,8},{3},{4},{5,7}}
[2,8,1,7,3,4,5,6]=>{{1,2,8},{3},{4,7},{5},{6}}
[3,8,6,1,7,2,4,5]=>{{1,3,6},{2,8},{4},{5,7}}
[4,2,8,3,7,1,5,6]=>{{1,4},{2},{3,8},{5,7},{6}}
[4,1,7,5,8,2,3,6]=>{{1,4,5,8},{2},{3,7},{6}}
[1,7,3,8,2,4,5,6]=>{{1},{2,7},{3},{4,8},{5},{6}}
[8,1,2,7,3,4,5,6]=>{{1,8},{2},{3},{4,7},{5},{6}}
[6,3,7,1,2,8,4,5]=>{{1,6,8},{2,3,7},{4},{5}}
[7,2,6,1,8,3,4,5]=>{{1,7},{2},{3,6},{4},{5,8}}
[8,2,6,1,7,3,4,5]=>{{1,8},{2},{3,6},{4},{5,7}}
[7,3,1,5,8,2,4,6]=>{{1,7},{2,3},{4,5,8},{6}}
[5,4,1,3,6,8,2,7]=>{{1,5,6,8},{2,4},{3},{7}}
[8,5,3,7,6,1,2,4]=>{{1,8},{2,5,6},{3},{4,7}}
[6,1,8,3,7,2,4,5]=>{{1,6},{2},{3,8},{4},{5,7}}
[7,6,8,2,3,5,1,4]=>{{1,7},{2,6},{3,8},{4},{5}}
[3,7,8,2,4,6,1,5]=>{{1,3,8},{2,7},{4},{5},{6}}
[5,4,7,8,2,6,1,3]=>{{1,5},{2,4,8},{3,7},{6}}
[4,2,5,8,7,1,3,6]=>{{1,4,8},{2},{3,5,7},{6}}
[3,6,2,8,7,1,4,5]=>{{1,3},{2,6},{4,8},{5,7}}
[3,7,8,1,6,2,4,5]=>{{1,3,8},{2,7},{4},{5,6}}
[2,3,8,7,1,4,5,6]=>{{1,2,3,8},{4,7},{5},{6}}
[2,1,8,7,3,4,5,6]=>{{1,2},{3,8},{4,7},{5},{6}}
[8,2,7,6,1,3,4,5]=>{{1,8},{2},{3,7},{4,6},{5}}
[1,2,8,7,3,4,5,6]=>{{1},{2},{3,8},{4,7},{5},{6}}
[1,3,8,7,2,4,5,6]=>{{1},{2,3,8},{4,7},{5},{6}}
[1,7,8,3,6,2,4,5]=>{{1},{2,7},{3,8},{4},{5,6}}
[5,4,8,7,6,1,2,3]=>{{1,5,6},{2,4,7},{3,8}}
[6,8,3,7,5,1,2,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[7,8,6,2,5,1,3,4]=>{{1,7},{2,8},{3,6},{4},{5}}
[8,1,6,7,3,2,4,5]=>{{1,8},{2},{3,6},{4,7},{5}}
[8,1,5,3,7,2,4,6]=>{{1,8},{2},{3,5,7},{4},{6}}
[8,1,5,3,6,2,4,7]=>{{1,8},{2},{3,5,6},{4},{7}}
[7,4,8,3,2,6,5,1]=>{{1,7},{2,4},{3,8},{5},{6}}
[7,4,1,3,2,6,5,8]=>{{1,7},{2,4},{3},{5},{6},{8}}
[8,1,4,3,2,6,5,7]=>{{1,8},{2},{3,4},{5},{6},{7}}
[8,1,4,3,2,7,5,6]=>{{1,8},{2},{3,4},{5},{6,7}}
[8,1,5,4,6,7,2,3]=>{{1,8},{2},{3,5,6,7},{4}}
[8,1,5,3,6,2,7,4]=>{{1,8},{2},{3,5,6},{4},{7}}
[8,1,4,3,2,6,7,5]=>{{1,8},{2},{3,4},{5},{6},{7}}
[8,1,4,3,2,5,7,6]=>{{1,8},{2},{3,4},{5},{6},{7}}
[7,4,1,3,2,5,6,8]=>{{1,7},{2,4},{3},{5},{6},{8}}
[7,4,8,3,2,5,6,1]=>{{1,7},{2,4},{3,8},{5},{6}}
[6,4,3,1,2,5,8,7]=>{{1,6},{2,4},{3},{5},{7,8}}
[7,4,1,3,2,5,8,6]=>{{1,7,8},{2,4},{3},{5},{6}}
[7,5,1,3,6,2,8,4]=>{{1,7,8},{2,5,6},{3},{4}}
[7,5,1,4,6,8,2,3]=>{{1,7},{2,5,6,8},{3},{4}}
[6,4,3,8,2,5,1,7]=>{{1,6},{2,4,8},{3},{5},{7}}
[5,4,3,2,8,6,1,7]=>{{1,5,8},{2,4},{3},{6},{7}}
[5,4,3,2,8,7,1,6]=>{{1,5,8},{2,4},{3},{6,7}}
[6,5,4,8,7,1,2,3]=>{{1,6},{2,5,7},{3,4,8}}
[6,5,4,1,7,8,2,3]=>{{1,6,8},{2,5,7},{3,4}}
[6,4,3,1,2,7,8,5]=>{{1,6,7,8},{2,4},{3},{5}}
[7,4,1,3,2,8,5,6]=>{{1,7},{2,4},{3},{5},{6,8}}
[6,4,3,1,2,7,5,8]=>{{1,6,7},{2,4},{3},{5},{8}}
[6,4,3,8,2,7,5,1]=>{{1,6,7},{2,4,8},{3},{5}}
[6,5,3,8,7,2,4,1]=>{{1,6},{2,5,7},{3},{4,8}}
[6,5,3,1,7,2,4,8]=>{{1,6},{2,5,7},{3},{4},{8}}
[7,5,1,3,8,2,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}
[6,5,3,7,8,2,4,1]=>{{1,6},{2,5,8},{3},{4,7}}
[6,4,3,7,2,8,5,1]=>{{1,6,8},{2,4,7},{3},{5}}
[6,4,3,7,2,1,5,8]=>{{1,6},{2,4,7},{3},{5},{8}}
[7,5,8,4,1,6,2,3]=>{{1,7},{2,5},{3,8},{4},{6}}
[6,5,4,8,1,7,2,3]=>{{1,6,7},{2,5},{3,4,8}}
[6,5,3,8,1,2,7,4]=>{{1,6},{2,5},{3},{4,8},{7}}
[6,5,4,7,1,8,2,3]=>{{1,6,8},{2,5},{3,4,7}}
[5,4,3,2,7,8,1,6]=>{{1,5,7},{2,4},{3},{6,8}}
[4,6,3,8,5,1,2,7]=>{{1,4,8},{2,6},{3},{5},{7}}
[5,6,8,3,4,1,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,6,8,3,4,1,7,2]=>{{1,5},{2,6},{3,8},{4},{7}}
[4,6,2,7,5,3,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[5,6,8,4,3,1,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,7,8,4,1,3,6,2]=>{{1,5},{2,7},{3,8},{4},{6}}
[5,6,8,4,2,1,7,3]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,6,8,2,4,1,7,3]=>{{1,5},{2,6},{3,8},{4},{7}}
[3,2,6,8,5,1,4,7]=>{{1,3,6},{2},{4,8},{5},{7}}
[5,6,8,4,2,1,3,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[5,7,8,4,1,3,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[5,7,8,4,1,2,3,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,8,1,5,2,3,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,5,3,2,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,3,5,2,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,8,2,1,6,3,4]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,7,2,8,1,6,3,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[3,2,7,8,1,6,4,5]=>{{1,3,7},{2},{4,8},{5},{6}}
[4,7,2,8,1,6,5,3]=>{{1,4,8},{2,7},{3},{5},{6}}
[5,7,8,2,1,6,4,3]=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,8,1,3,5,4,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,5,3,4,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,4,3,5,2]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,6,8,3,2,1,7,4]=>{{1,5},{2,6},{3,8},{4},{7}}
[4,7,3,8,1,6,2,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,7,3,8,1,5,6,2]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,7,3,8,1,5,2,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,7,3,8,1,2,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[5,7,8,3,1,2,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[5,6,8,3,2,1,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[3,2,7,8,1,5,4,6]=>{{1,3,7},{2},{4,8},{5},{6}}
[6,7,8,1,3,4,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,4,2,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,2,5,3,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,2,4,5,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,8,2,1,3,6,4]=>{{1,5},{2,7},{3,8},{4},{6}}
[3,2,7,8,1,4,6,5]=>{{1,3,7},{2},{4,8},{5},{6}}
[6,7,8,1,3,2,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,2,4,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,1,2,3,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,3,5,1,7,4,6,2]=>{{1,8},{2,3,5,7},{4},{6}}
[8,3,4,1,7,5,6,2]=>{{1,8},{2,3,4},{5,7},{6}}
[4,8,3,1,7,5,6,2]=>{{1,4},{2,8},{3},{5,7},{6}}
[4,6,2,1,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}
[1,4,6,2,7,5,8,3]=>{{1},{2,4},{3,6},{5,7,8}}
[1,7,5,2,6,8,4,3]=>{{1},{2,7},{3,5,6,8},{4}}
[7,5,2,1,6,8,4,3]=>{{1,7},{2,5,6,8},{3},{4}}
[6,8,4,3,1,7,5,2]=>{{1,6,7},{2,8},{3,4},{5}}
[4,7,5,6,1,8,3,2]=>{{1,4,6,8},{2,7},{3,5}}
[6,7,5,1,8,4,3,2]=>{{1,6},{2,7},{3,5,8},{4}}
[6,8,4,1,7,5,3,2]=>{{1,6},{2,8},{3,4},{5,7}}
[6,7,5,3,1,8,4,2]=>{{1,6,8},{2,7},{3,5},{4}}
[8,4,2,1,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}
[1,8,4,2,6,7,5,3]=>{{1},{2,8},{3,4},{5,6,7}}
[1,5,3,2,7,6,8,4]=>{{1},{2,5,7,8},{3},{4},{6}}
[2,5,3,1,7,6,8,4]=>{{1,2,5,7,8},{3},{4},{6}}
[2,7,5,1,6,8,4,3]=>{{1,2,7},{3,5,6,8},{4}}
[4,7,1,6,5,8,2,3]=>{{1,4,6,8},{2,7},{3},{5}}
[4,6,1,2,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}
[8,4,1,2,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}
[5,3,1,2,7,6,8,4]=>{{1,5,7,8},{2,3},{4},{6}}
[4,3,1,2,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}}
[3,5,1,2,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}
[6,7,1,5,8,2,3,4]=>{{1,6},{2,7},{3},{4,5,8}}
[2,7,6,1,5,8,3,4]=>{{1,2,7},{3,6,8},{4},{5}}
[2,3,5,1,7,6,8,4]=>{{1,2,3,5,7,8},{4},{6}}
[8,4,1,6,7,5,2,3]=>{{1,8},{2,4,6},{3},{5,7}}
[5,2,3,1,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}
[3,5,2,1,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}
[1,7,6,2,5,8,3,4]=>{{1},{2,7},{3,6,8},{4},{5}}
[7,6,2,1,5,8,3,4]=>{{1,7},{2,6,8},{3},{4},{5}}
[8,2,6,4,7,1,5,3]=>{{1,8},{2},{3,6},{4},{5,7}}
[6,1,5,2,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}
[7,6,2,5,8,3,1,4]=>{{1,7},{2,6},{3},{4,5,8}}
[1,8,3,5,7,6,2,4]=>{{1},{2,8},{3},{4,5,7},{6}}
[1,5,2,3,7,6,8,4]=>{{1},{2,5,7,8},{3},{4},{6}}
[5,2,1,3,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}
[8,4,2,6,7,5,1,3]=>{{1,8},{2,4,6},{3},{5,7}}
[6,1,4,2,7,5,8,3]=>{{1,6},{2},{3,4},{5,7,8}}
[8,2,6,5,7,1,4,3]=>{{1,8},{2},{3,6},{4,5,7}}
[5,1,3,2,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}
[1,4,2,3,7,6,8,5]=>{{1},{2,4},{3},{5,7,8},{6}}
[2,4,1,3,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}}
[2,5,1,3,7,6,8,4]=>{{1,2,5,7,8},{3},{4},{6}}
[2,8,3,5,7,6,1,4]=>{{1,2,8},{3},{4,5,7},{6}}
[6,8,2,3,5,7,1,4]=>{{1,6,7},{2,8},{3},{4},{5}}
[6,7,1,3,5,8,2,4]=>{{1,6,8},{2,7},{3},{4},{5}}
[8,3,5,7,6,1,2,4]=>{{1,8},{2,3,5,6},{4,7}}
[5,1,2,3,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}
[4,7,1,2,8,6,5,3]=>{{1,4},{2,7},{3},{5,8},{6}}
[4,6,8,1,2,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}
[6,8,7,1,5,3,2,4]=>{{1,6},{2,8},{3,7},{4},{5}}
[6,8,7,3,5,1,2,4]=>{{1,6},{2,8},{3,7},{4},{5}}
[7,8,1,3,6,5,2,4]=>{{1,7},{2,8},{3},{4},{5,6}}
[1,7,3,4,8,6,5,2]=>{{1},{2,7},{3},{4},{5,8},{6}}
[4,2,7,1,8,6,5,3]=>{{1,4},{2},{3,7},{5,8},{6}}
[7,8,2,3,6,5,1,4]=>{{1,7},{2,8},{3},{4},{5,6}}
[8,5,7,1,6,2,3,4]=>{{1,8},{2,5,6},{3,7},{4}}
[8,5,7,1,2,6,3,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[6,8,2,7,1,3,5,4]=>{{1,6},{2,8},{3},{4,7},{5}}
[6,2,4,8,7,1,5,3]=>{{1,6},{2},{3,4,8},{5,7}}
[1,6,8,3,7,4,5,2]=>{{1},{2,6},{3,8},{4},{5,7}}
[1,6,8,3,4,7,5,2]=>{{1},{2,6,7},{3,8},{4},{5}}
[6,2,4,8,1,7,5,3]=>{{1,6,7},{2},{3,4,8},{5}}
[6,8,7,2,3,5,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}
[6,8,2,1,7,3,5,4]=>{{1,6},{2,8},{3},{4},{5,7}}
[8,5,7,2,1,6,3,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[8,5,7,1,2,3,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[8,5,7,2,3,1,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[1,8,7,5,3,4,6,2]=>{{1},{2,8},{3,7},{4,5},{6}}
[1,8,7,3,5,4,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}
[8,2,5,4,7,1,6,3]=>{{1,8},{2},{3,5,7},{4},{6}}
[8,7,6,1,2,4,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,1,4,2,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,4,1,3,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,1,3,2,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}
[5,8,4,7,1,2,6,3]=>{{1,5},{2,8},{3,4,7},{6}}
[8,1,2,6,5,7,4,3]=>{{1,8},{2},{3},{4,6,7},{5}}
[8,2,5,6,7,4,1,3]=>{{1,8},{2},{3,5,7},{4,6}}
[4,8,5,1,7,2,6,3]=>{{1,4},{2,8},{3,5,7},{6}}
[8,5,3,7,1,2,6,4]=>{{1,8},{2,5},{3},{4,7},{6}}
[4,6,2,8,1,7,5,3]=>{{1,4,8},{2,6,7},{3},{5}}
[1,6,4,8,3,7,5,2]=>{{1},{2,6,7},{3,4,8},{5}}
[1,8,7,4,5,3,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}
[4,8,5,7,2,1,6,3]=>{{1,4,7},{2,8},{3,5},{6}}
[8,5,3,7,2,1,6,4]=>{{1,8},{2,5},{3},{4,7},{6}}
[8,7,6,3,1,4,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,3,2,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}
[1,8,7,4,3,5,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}
[1,8,7,3,4,5,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}
[8,2,4,5,7,1,6,3]=>{{1,8},{2},{3,4,5,7},{6}}
[8,5,2,3,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}
[8,3,1,5,2,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}
[8,5,4,2,1,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,5,4,2,1,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}
[6,5,4,2,3,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}
[6,3,2,5,1,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}
[8,5,4,1,2,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,4,1,6,3,2,5]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,4,1,6,3,5,2]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,4,1,6,5,3,2]=>{{1,8},{2,7},{3,4},{5,6}}
[8,5,4,3,1,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}
[8,3,2,5,1,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,2,5,1,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}
[8,5,4,3,1,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,5,4,1,3,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,4,1,6,5,2,3]=>{{1,8},{2,7},{3,4},{5,6}}
[2,1,8,7,6,4,5,3]=>{{1,2},{3,8},{4,7},{5,6}}
[8,3,2,7,6,4,5,1]=>{{1,8},{2,3},{4,7},{5,6}}
[8,5,4,2,3,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,4,2,6,5,3,1]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,4,2,6,3,5,1]=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,4,2,6,3,1,5]=>{{1,8},{2,7},{3,4},{5,6}}
[8,3,1,7,6,4,2,5]=>{{1,8},{2,3},{4,7},{5,6}}
[8,3,1,7,6,4,5,2]=>{{1,8},{2,3},{4,7},{5,6}}
[8,3,1,5,4,7,6,2]=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,1,7,6,5,2,4]=>{{1,8},{2,3},{4,7},{5,6}}
[8,3,1,7,6,2,5,4]=>{{1,8},{2,3},{4,7},{5,6}}
[8,5,4,2,3,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}
[8,3,2,5,4,7,1,6]=>{{1,8},{2,3},{4,5},{6,7}}
[2,1,8,5,4,7,3,6]=>{{1,2},{3,8},{4,5},{6,7}}
[8,3,2,7,6,5,1,4]=>{{1,8},{2,3},{4,7},{5,6}}
[8,7,6,5,3,1,4,2]=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,2,7,6,1,5,4]=>{{1,8},{2,3},{4,7},{5,6}}
[8,7,6,5,1,2,4,3]=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,3,1,6,4,8,7]=>{{1,5,6},{2},{3},{4},{7,8}}
[7,4,5,2,3,1,8,6]=>{{1,7,8},{2,4},{3,5},{6}}
[7,3,5,2,4,1,8,6]=>{{1,7,8},{2,3,5},{4},{6}}
[6,3,5,2,4,1,8,7]=>{{1,6},{2,3,5},{4},{7,8}}
[4,1,6,3,5,2,8,7]=>{{1,4},{2},{3,6},{5},{7,8}}
[6,3,4,1,5,2,8,7]=>{{1,6},{2,3,4},{5},{7,8}}
[5,2,7,3,4,1,8,6]=>{{1,5},{2},{3,7,8},{4},{6}}
[6,2,8,5,7,3,4,1]=>{{1,6},{2},{3,8},{4,5,7}}
[6,2,7,3,4,1,8,5]=>{{1,6},{2},{3,7,8},{4},{5}}
[7,3,4,1,5,2,8,6]=>{{1,7,8},{2,3,4},{5},{6}}
[4,1,7,3,5,2,8,6]=>{{1,4},{2},{3,7,8},{5},{6}}
[2,1,7,4,5,3,8,6]=>{{1,2},{3,7,8},{4},{5},{6}}
[3,1,8,6,7,4,5,2]=>{{1,3,8},{2},{4,6},{5,7}}
[4,1,8,6,7,3,5,2]=>{{1,4,6},{2},{3,8},{5,7}}
[8,5,7,3,4,1,6,2]=>{{1,8},{2,5},{3,7},{4},{6}}
[8,5,6,2,7,3,4,1]=>{{1,8},{2,5,7},{3,6},{4}}
[8,4,7,3,5,1,6,2]=>{{1,8},{2,4},{3,7},{5},{6}}
[5,1,8,4,7,3,6,2]=>{{1,5,7},{2},{3,8},{4},{6}}
[3,1,8,5,7,4,6,2]=>{{1,3,8},{2},{4,5,7},{6}}
[2,1,8,5,7,4,6,3]=>{{1,2},{3,8},{4,5,7},{6}}
[3,1,7,4,6,2,8,5]=>{{1,3,7,8},{2},{4},{5,6}}
[4,1,7,3,6,2,8,5]=>{{1,4},{2},{3,7,8},{5,6}}
[6,2,8,4,7,3,5,1]=>{{1,6},{2},{3,8},{4},{5,7}}
[7,3,6,2,5,1,8,4]=>{{1,7,8},{2,3,6},{4},{5}}
[5,2,4,1,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}
[6,2,4,1,7,3,8,5]=>{{1,6},{2},{3,4},{5,7,8}}
[7,4,6,2,3,1,8,5]=>{{1,7,8},{2,4},{3,6},{5}}
[6,2,3,1,7,4,8,5]=>{{1,6},{2},{3},{4},{5,7,8}}
[5,2,3,1,7,4,8,6]=>{{1,5,7,8},{2},{3},{4},{6}}
[4,2,3,1,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}
[3,1,4,2,8,6,7,5]=>{{1,3,4},{2},{5,8},{6},{7}}
[6,2,3,1,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}
[8,5,6,2,3,1,7,4]=>{{1,8},{2,5},{3,6},{4},{7}}
[7,3,8,5,6,2,4,1]=>{{1,7},{2,3,8},{4,5,6}}
[8,5,6,2,4,1,7,3]=>{{1,8},{2,5},{3,6},{4},{7}}
[5,2,4,1,8,6,7,3]=>{{1,5,8},{2},{3,4},{6},{7}}
[4,1,5,2,8,6,7,3]=>{{1,4},{2},{3,5,8},{6},{7}}
[3,1,6,2,8,5,7,4]=>{{1,3,6},{2},{4},{5,8},{7}}
[5,1,6,2,8,4,7,3]=>{{1,5,8},{2},{3,6},{4},{7}}
[8,4,6,2,5,1,7,3]=>{{1,8},{2,4},{3,6},{5},{7}}
[7,3,8,4,6,2,5,1]=>{{1,7},{2,3,8},{4},{5,6}}
[6,2,7,3,8,4,5,1]=>{{1,6},{2},{3,7},{4},{5,8}}
[8,4,5,1,6,2,7,3]=>{{1,8},{2,4},{3,5,6},{7}}
[4,1,8,5,6,2,7,3]=>{{1,4,5,6},{2},{3,8},{7}}
[3,1,8,5,6,2,7,4]=>{{1,3,8},{2},{4,5,6},{7}}
[2,1,8,5,6,3,7,4]=>{{1,2},{3,8},{4,5,6},{7}}
[3,1,7,4,8,5,6,2]=>{{1,3,7},{2},{4},{5,8},{6}}
[7,3,6,2,8,4,5,1]=>{{1,7},{2,3,6},{4},{5,8}}
[6,8,7,3,4,1,2,5]=>{{1,6},{2,8},{3,7},{4},{5}}
[5,4,8,7,2,6,3,1]=>{{1,5},{2,4,7},{3,8},{6}}
[5,3,8,7,6,1,2,4]=>{{1,5,6},{2,3,8},{4,7}}
[8,3,4,6,5,1,2,7]=>{{1,8},{2,3,4,6},{5},{7}}
[3,4,8,7,6,1,2,5]=>{{1,3,8},{2,4,7},{5,6}}
[3,5,8,7,6,1,2,4]=>{{1,3,8},{2,5,6},{4,7}}
[4,5,8,7,6,1,2,3]=>{{1,4,7},{2,5,6},{3,8}}
[4,5,8,7,1,6,3,2]=>{{1,4,7},{2,5},{3,8},{6}}
[3,5,8,2,7,6,4,1]=>{{1,3,8},{2,5,7},{4},{6}}
[3,5,8,1,7,6,4,2]=>{{1,3,8},{2,5,7},{4},{6}}
[2,5,8,7,1,6,3,4]=>{{1,2,5},{3,8},{4,7},{6}}
[2,4,8,7,1,6,3,5]=>{{1,2,4,7},{3,8},{5},{6}}
[2,8,4,7,1,5,3,6]=>{{1,2,8},{3,4,7},{5},{6}}
[8,2,4,6,1,5,3,7]=>{{1,8},{2},{3,4,6},{5},{7}}
[8,1,4,6,2,5,3,7]=>{{1,8},{2},{3,4,6},{5},{7}}
[1,4,8,7,2,6,3,5]=>{{1},{2,4,7},{3,8},{5},{6}}
[1,5,8,7,2,6,3,4]=>{{1},{2,5},{3,8},{4,7},{6}}
[1,5,8,2,7,6,4,3]=>{{1},{2,5,7},{3,8},{4},{6}}
[2,5,8,3,7,6,4,1]=>{{1,2,5,7},{3,8},{4},{6}}
[1,4,2,8,7,6,5,3]=>{{1},{2,4,8},{3},{5,7},{6}}
[1,3,8,2,7,6,4,5]=>{{1},{2,3,8},{4},{5,7},{6}}
[1,8,3,2,7,5,4,6]=>{{1},{2,8},{3},{4},{5,7},{6}}
[8,2,3,1,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}
[2,3,8,1,7,6,4,5]=>{{1,2,3,8},{4},{5,7},{6}}
[5,2,8,7,1,6,3,4]=>{{1,5},{2},{3,8},{4,7},{6}}
[5,2,8,1,7,6,4,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,3,8,2,7,6,4,1]=>{{1,5,7},{2,3,8},{4},{6}}
[6,8,3,2,7,5,4,1]=>{{1,6},{2,8},{3},{4},{5,7}}
[6,8,3,1,7,5,4,2]=>{{1,6},{2,8},{3},{4},{5,7}}
[6,8,1,2,7,5,4,3]=>{{1,6},{2,8},{3},{4},{5,7}}
[6,8,2,3,7,5,4,1]=>{{1,6},{2,8},{3},{4},{5,7}}
[5,2,8,3,7,6,4,1]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,1,8,3,7,6,4,2]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,1,8,7,2,6,3,4]=>{{1,5},{2},{3,8},{4,7},{6}}
[4,8,1,7,2,5,3,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[8,4,1,6,2,5,3,7]=>{{1,8},{2,4,6},{3},{5},{7}}
[8,3,1,2,6,5,4,7]=>{{1,8},{2,3},{4},{5,6},{7}}
[3,1,2,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}
[4,1,3,8,7,6,5,2]=>{{1,4,8},{2},{3},{5,7},{6}}
[3,1,4,8,7,6,5,2]=>{{1,3,4,8},{2},{5,7},{6}}
[2,1,8,3,7,6,4,5]=>{{1,2},{3,8},{4},{5,7},{6}}
[2,8,1,3,7,5,4,6]=>{{1,2,8},{3},{4},{5,7},{6}}
[8,2,1,3,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}
[1,8,2,3,7,5,4,6]=>{{1},{2,8},{3},{4},{5,7},{6}}
[1,2,8,3,7,6,4,5]=>{{1},{2},{3,8},{4},{5,7},{6}}
[1,4,3,6,8,2,5,7]=>{{1},{2,4,6},{3},{5,8},{7}}
[1,4,5,2,8,3,7,6]=>{{1},{2,4},{3,5,8},{6},{7}}
[1,4,2,6,5,8,3,7]=>{{1},{2,4,6,8},{3},{5},{7}}
[1,5,4,2,6,8,3,7]=>{{1},{2,5,6,8},{3,4},{7}}
[3,1,6,5,8,2,4,7]=>{{1,3,6},{2},{4,5,8},{7}}
[1,6,4,2,5,8,3,7]=>{{1},{2,6,8},{3,4},{5},{7}}
[1,5,2,6,4,8,3,7]=>{{1},{2,5},{3},{4,6,8},{7}}
[1,2,6,5,4,8,3,7]=>{{1},{2},{3,6,8},{4,5},{7}}
[1,2,5,4,7,3,8,6]=>{{1},{2},{3,5,7,8},{4},{6}}
[4,1,2,6,3,8,7,5]=>{{1,4,6,8},{2},{3},{5},{7}}
[7,1,5,4,2,8,3,6]=>{{1,7},{2},{3,5},{4},{6,8}}
[1,4,7,5,2,8,3,6]=>{{1},{2,4,5},{3,7},{6,8}}
[7,1,3,5,2,8,4,6]=>{{1,7},{2},{3},{4,5},{6,8}}
[1,4,5,2,8,7,3,6]=>{{1},{2,4},{3,5,8},{6,7}}
[1,6,4,2,8,3,7,5]=>{{1},{2,6},{3,4},{5,8},{7}}
[1,4,2,8,3,7,6,5]=>{{1},{2,4,8},{3},{5},{6,7}}
[1,2,8,6,5,3,7,4]=>{{1},{2},{3,8},{4,6},{5},{7}}
[6,2,1,8,7,3,4,5]=>{{1,6},{2},{3},{4,8},{5,7}}
[7,6,2,1,8,3,4,5]=>{{1,7},{2,6},{3},{4},{5,8}}
[7,3,1,6,2,8,4,5]=>{{1,7},{2,3},{4,6,8},{5}}
[1,7,6,4,2,8,3,5]=>{{1},{2,7},{3,6,8},{4},{5}}
[1,7,5,2,6,3,8,4]=>{{1},{2,7,8},{3,5,6},{4}}
[1,6,2,7,5,3,8,4]=>{{1},{2,6},{3},{4,7,8},{5}}
[1,2,7,6,5,3,8,4]=>{{1},{2},{3,7,8},{4,6},{5}}
[1,2,6,5,3,8,7,4]=>{{1},{2},{3,6,8},{4,5},{7}}
[1,5,2,7,6,3,8,4]=>{{1},{2,5,6},{3},{4,7,8}}
[1,6,5,2,7,3,8,4]=>{{1},{2,6},{3,5,7,8},{4}}
[1,5,7,4,2,8,3,6]=>{{1},{2,5},{3,7},{4},{6,8}}
[3,1,8,6,2,4,7,5]=>{{1,3,8},{2},{4,6},{5},{7}}
[4,3,7,1,8,2,5,6]=>{{1,4},{2,3,7},{5,8},{6}}
[8,3,1,6,2,4,7,5]=>{{1,8},{2,3},{4,6},{5},{7}}
[7,1,8,3,2,4,6,5]=>{{1,7},{2},{3,8},{4},{5},{6}}
[1,4,2,8,7,3,6,5]=>{{1},{2,4,8},{3},{5,7},{6}}
[1,7,4,2,8,3,6,5]=>{{1},{2,7},{3,4},{5,8},{6}}
[8,1,5,4,2,7,3,6]=>{{1,8},{2},{3,5},{4},{6,7}}
[1,4,8,5,2,7,3,6]=>{{1},{2,4,5},{3,8},{6,7}}
[8,5,3,1,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}
[8,6,2,1,7,3,4,5]=>{{1,8},{2,6},{3},{4},{5,7}}
[1,8,6,4,2,7,3,5]=>{{1},{2,8},{3,6,7},{4},{5}}
[1,5,2,7,3,8,6,4]=>{{1},{2,5},{3},{4,7},{6,8}}
[1,2,8,5,3,7,6,4]=>{{1},{2},{3,8},{4,5},{6,7}}
[1,2,6,3,8,7,5,4]=>{{1},{2},{3,6,7},{4},{5,8}}
[1,2,7,6,3,8,5,4]=>{{1},{2},{3,7},{4,6,8},{5}}
[1,6,2,7,3,8,5,4]=>{{1},{2,6,8},{3},{4,7},{5}}
[1,7,4,2,8,6,3,5]=>{{1},{2,7},{3,4},{5,8},{6}}
[7,1,8,3,2,6,4,5]=>{{1,7},{2},{3,8},{4},{5},{6}}
[7,2,1,8,6,3,4,5]=>{{1,7},{2},{3},{4,8},{5,6}}
[1,8,7,3,2,6,4,5]=>{{1},{2,8},{3,7},{4},{5},{6}}
[1,4,2,8,7,6,3,5]=>{{1},{2,4,8},{3},{5,7},{6}}
[1,2,8,7,5,3,6,4]=>{{1},{2},{3,8},{4,7},{5},{6}}
[5,1,8,7,6,2,4,3]=>{{1,5,6},{2},{3,8},{4,7}}
[8,1,7,6,3,4,5,2]=>{{1,8},{2},{3,7},{4,6},{5}}
[5,7,8,6,2,4,1,3]=>{{1,5},{2,7},{3,8},{4,6}}
[5,7,1,6,2,4,3,8]=>{{1,5},{2,7},{3},{4,6},{8}}
[6,4,1,5,2,7,3,8]=>{{1,6,7},{2,4,5},{3},{8}}
[8,1,4,5,3,7,6,2]=>{{1,8},{2},{3,4,5},{6,7}}
[6,1,4,5,3,8,7,2]=>{{1,6,8},{2},{3,4,5},{7}}
[7,1,4,5,3,8,6,2]=>{{1,7},{2},{3,4,5},{6,8}}
[7,1,4,5,3,6,8,2]=>{{1,7,8},{2},{3,4,5},{6}}
[7,4,1,5,2,6,3,8]=>{{1,7},{2,4,5},{3},{6},{8}}
[6,3,5,7,2,1,4,8]=>{{1,6},{2,3,5},{4,7},{8}}
[6,3,5,8,2,1,7,4]=>{{1,6},{2,3,5},{4,8},{7}}
[6,3,5,7,2,1,8,4]=>{{1,6},{2,3,5},{4,7,8}}
[8,4,5,7,3,6,1,2]=>{{1,8},{2,4,7},{3,5},{6}}
[6,4,5,8,3,7,2,1]=>{{1,6,7},{2,4,8},{3,5}}
[5,4,8,6,3,1,7,2]=>{{1,5},{2,4,6},{3,8},{7}}
[5,4,1,8,2,3,7,6]=>{{1,5},{2,4,8},{3},{6},{7}}
[8,4,1,5,2,6,3,7]=>{{1,8},{2,4,5},{3},{6},{7}}
[6,3,5,8,2,1,4,7]=>{{1,6},{2,3,5},{4,8},{7}}
[2,3,8,5,1,4,7,6]=>{{1,2,3,8},{4,5},{6},{7}}
[2,3,8,6,1,5,7,4]=>{{1,2,3,8},{4,6},{5},{7}}
[2,8,6,7,1,3,5,4]=>{{1,2,8},{3,6},{4,7},{5}}
[8,3,5,7,2,1,6,4]=>{{1,8},{2,3,5},{4,7},{6}}
[8,4,5,6,3,1,7,2]=>{{1,8},{2,4,6},{3,5},{7}}
[7,3,5,6,2,8,1,4]=>{{1,7},{2,3,5},{4,6,8}}
[7,3,5,8,2,1,6,4]=>{{1,7},{2,3,5},{4,8},{6}}
[7,3,5,6,2,1,4,8]=>{{1,7},{2,3,5},{4,6},{8}}
[2,7,6,5,1,3,4,8]=>{{1,2,7},{3,6},{4,5},{8}}
[2,7,6,8,1,3,5,4]=>{{1,2,7},{3,6},{4,8},{5}}
[8,7,5,6,1,4,2,3]=>{{1,8},{2,7},{3,5},{4,6}}
[2,7,1,3,6,5,8,4]=>{{1,2,7,8},{3},{4},{5,6}}
[2,7,6,1,8,3,4,5]=>{{1,2,7},{3,6},{4},{5,8}}
[2,7,6,1,4,3,5,8]=>{{1,2,7},{3,6},{4},{5},{8}}
[7,3,5,1,2,8,4,6]=>{{1,7},{2,3,5},{4},{6,8}}
[2,3,8,6,4,1,7,5]=>{{1,2,3,8},{4,6},{5},{7}}
[2,8,6,1,7,3,4,5]=>{{1,2,8},{3,6},{4},{5,7}}
[2,3,8,1,6,4,7,5]=>{{1,2,3,8},{4},{5,6},{7}}
[2,3,8,1,4,5,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}
[5,2,6,1,4,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}
[5,7,2,3,8,6,1,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,6,2,3,1,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[5,6,2,1,3,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[5,1,6,4,2,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}
[5,6,1,3,2,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[5,6,3,1,2,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}
[5,7,3,2,8,1,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,3,8,2,1,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,3,8,1,2,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[5,7,3,1,8,2,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[5,1,7,4,8,2,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[1,5,7,4,8,3,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}
[5,1,7,4,8,6,2,3]=>{{1,5,8},{2},{3,7},{4},{6}}
[5,7,3,1,8,6,2,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,8,3,1,4,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,1,8,3,5,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,1,7,8,4,5,2,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[1,6,7,8,4,5,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[1,6,7,8,4,3,5,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[6,1,7,8,4,2,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,7,2,8,1,3,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,2,8,3,5,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,2,7,8,4,1,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,2,7,8,1,4,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[4,2,1,7,8,5,6,3]=>{{1,4,7},{2},{3},{5,8},{6}}
[4,1,2,7,8,6,5,3]=>{{1,4,7},{2},{3},{5,8},{6}}
[6,2,7,8,1,5,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,2,7,8,5,1,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[5,7,2,1,8,6,3,4]=>{{1,5,8},{2,7},{3},{4},{6}}
[1,6,7,8,3,5,4,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[6,1,7,8,2,5,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,7,8,2,4,1,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,2,4,3,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,1,8,5,2,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,1,7,8,5,2,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[1,6,7,8,5,3,4,2]=>{{1},{2,6},{3,7},{4,8},{5}}
[6,1,7,8,5,4,2,3]=>{{1,6},{2},{3,7},{4,8},{5}}
[6,7,1,8,5,3,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}
[6,7,8,4,1,3,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}
[3,7,4,8,5,6,1,2]=>{{1,3,4,8},{2,7},{5},{6}}
[3,7,1,8,5,6,2,4]=>{{1,3},{2,7},{4,8},{5},{6}}
[2,7,3,8,5,6,1,4]=>{{1,2,7},{3},{4,8},{5},{6}}
[1,7,4,8,5,6,2,3]=>{{1},{2,7},{3,4,8},{5},{6}}
[2,7,3,8,4,6,1,5]=>{{1,2,7},{3},{4,8},{5},{6}}
[3,7,1,8,4,6,2,5]=>{{1,3},{2,7},{4,8},{5},{6}}
[1,5,2,8,6,7,3,4]=>{{1},{2,5,6,7},{3},{4,8}}
[2,6,1,8,5,7,3,4]=>{{1,2,6,7},{3},{4,8},{5}}
[1,6,2,8,5,7,3,4]=>{{1},{2,6,7},{3},{4,8},{5}}
[1,6,2,8,4,7,3,5]=>{{1},{2,6,7},{3},{4,8},{5}}
[2,6,1,8,4,7,3,5]=>{{1,2,6,7},{3},{4,8},{5}}
[3,7,2,6,1,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}
[4,8,1,6,2,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}
[5,8,1,6,2,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}
[5,8,2,6,1,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}
[4,8,2,6,1,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}
[1,7,3,6,2,8,4,5]=>{{1},{2,7},{3},{4,6,8},{5}}
[2,7,3,6,1,8,4,5]=>{{1,2,7},{3},{4,6,8},{5}}
[8,6,1,4,3,2,5,7]=>{{1,8},{2,6},{3},{4},{5},{7}}
[3,7,5,1,8,2,4,6]=>{{1,3,5,8},{2,7},{4},{6}}
[4,1,5,2,8,7,3,6]=>{{1,4},{2},{3,5,8},{6,7}}
[8,1,2,4,6,5,3,7]=>{{1,8},{2},{3},{4},{5,6},{7}}
[8,2,6,5,1,3,4,7]=>{{1,8},{2},{3,6},{4,5},{7}}
[8,3,1,6,2,5,4,7]=>{{1,8},{2,3},{4,6},{5},{7}}
[8,1,2,6,4,5,3,7]=>{{1,8},{2},{3},{4,6},{5},{7}}
[8,1,2,5,6,4,3,7]=>{{1,8},{2},{3},{4,5,6},{7}}
[1,7,5,4,2,8,3,6]=>{{1},{2,7},{3,5},{4},{6,8}}
[1,4,6,8,2,7,3,5]=>{{1},{2,4,8},{3,6,7},{5}}
[1,4,7,6,2,8,3,5]=>{{1},{2,4,6,8},{3,7},{5}}
[5,1,4,7,2,8,3,6]=>{{1,5},{2},{3,4,7},{6,8}}
[3,7,5,1,2,8,4,6]=>{{1,3,5},{2,7},{4},{6,8}}
[4,1,5,8,2,7,3,6]=>{{1,4,8},{2},{3,5},{6,7}}
[1,4,6,2,8,7,3,5]=>{{1},{2,4},{3,6,7},{5,8}}
[1,4,2,8,6,7,3,5]=>{{1},{2,4,8},{3},{5,6,7}}
[3,1,2,6,4,8,7,5]=>{{1,3},{2},{4,6,8},{5},{7}}
[2,1,7,6,3,4,8,5]=>{{1,2},{3,7,8},{4,6},{5}}
[3,1,2,7,4,6,8,5]=>{{1,3},{2},{4,7,8},{5},{6}}
[1,2,3,6,8,5,7,4]=>{{1},{2},{3},{4,6},{5,8},{7}}
[5,1,4,2,7,8,3,6]=>{{1,5,7},{2},{3,4},{6,8}}
[1,4,2,7,6,8,3,5]=>{{1},{2,4,7},{3},{5,6,8}}
[1,4,2,6,8,7,3,5]=>{{1},{2,4,6,7},{3},{5,8}}
[5,3,7,1,8,2,4,6]=>{{1,5,8},{2,3,7},{4},{6}}
[1,7,4,3,2,5,8,6]=>{{1},{2,7,8},{3,4},{5},{6}}
[4,8,7,2,1,3,5,6]=>{{1,4},{2,8},{3,7},{5},{6}}
[1,8,7,3,4,2,5,6]=>{{1},{2,8},{3,7},{4},{5},{6}}
[3,1,7,8,2,6,4,5]=>{{1,3,7},{2},{4,8},{5},{6}}
[1,4,2,7,8,3,6,5]=>{{1},{2,4,7},{3},{5,8},{6}}
[2,1,8,6,3,4,7,5]=>{{1,2},{3,8},{4,6},{5},{7}}
[1,4,2,6,8,3,7,5]=>{{1},{2,4,6},{3},{5,8},{7}}
[1,2,3,7,8,5,6,4]=>{{1},{2},{3},{4,7},{5,8},{6}}
[1,2,3,7,5,8,6,4]=>{{1},{2},{3},{4,7},{5},{6,8}}
[3,1,7,2,8,6,4,5]=>{{1,3,7},{2},{4},{5,8},{6}}
[1,2,3,8,7,5,6,4]=>{{1},{2},{3},{4,8},{5,7},{6}}
[5,7,8,4,2,6,1,3]=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,8,4,2,5,1,3]=>{{1,6},{2,7},{3,8},{4},{5}}
[8,6,3,7,2,1,5,4]=>{{1,8},{2,6},{3},{4,7},{5}}
[6,7,8,3,2,1,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,8,3,2,1,6,4]=>{{1,5},{2,7},{3,8},{4},{6}}
[2,7,8,4,3,5,6,1]=>{{1,2,7},{3,8},{4},{5},{6}}
[3,7,8,4,2,5,1,6]=>{{1,3,8},{2,7},{4},{5},{6}}
[7,6,3,8,2,1,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}
[8,6,3,7,2,1,4,5]=>{{1,8},{2,6},{3},{4,7},{5}}
[5,6,3,8,2,1,4,7]=>{{1,5},{2,6},{3},{4,8},{7}}
[3,6,4,8,2,5,1,7]=>{{1,3,4,8},{2,6},{5},{7}}
[2,6,4,8,3,5,7,1]=>{{1,2,6},{3,4,8},{5},{7}}
[2,6,4,7,3,5,8,1]=>{{1,2,6},{3,4,7,8},{5}}
[4,6,3,7,2,1,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}
[5,6,3,7,2,1,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}
[8,4,3,2,1,6,5,7]=>{{1,8},{2,4},{3},{5},{6},{7}}
[6,4,3,2,1,7,5,8]=>{{1,6,7},{2,4},{3},{5},{8}}
[4,5,3,2,7,1,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[7,4,3,2,1,8,5,6]=>{{1,7},{2,4},{3},{5},{6,8}}
[8,4,3,2,1,7,5,6]=>{{1,8},{2,4},{3},{5},{6,7}}
[7,4,3,2,1,8,6,5]=>{{1,7},{2,4},{3},{5},{6,8}}
[5,6,3,8,2,1,7,4]=>{{1,5},{2,6},{3},{4,8},{7}}
[7,5,3,2,8,1,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}
[8,5,4,2,7,6,1,3]=>{{1,8},{2,5,7},{3,4},{6}}
[7,5,4,2,8,6,1,3]=>{{1,7},{2,5,8},{3,4},{6}}
[6,5,4,2,7,8,1,3]=>{{1,6,8},{2,5,7},{3,4}}
[8,5,4,2,6,7,1,3]=>{{1,8},{2,5,6,7},{3,4}}
[5,6,3,7,2,1,8,4]=>{{1,5},{2,6},{3},{4,7,8}}
[4,6,3,7,2,1,8,5]=>{{1,4,7,8},{2,6},{3},{5}}
[3,6,4,7,2,8,1,5]=>{{1,3,4,7},{2,6,8},{5}}
[2,6,4,7,3,8,5,1]=>{{1,2,6,8},{3,4,7},{5}}
[3,5,4,2,7,8,1,6]=>{{1,3,4},{2,5,7},{6,8}}
[7,4,3,2,1,6,8,5]=>{{1,7,8},{2,4},{3},{5},{6}}
[8,4,3,2,1,6,7,5]=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,4,3,2,1,5,7,6]=>{{1,8},{2,4},{3},{5},{6},{7}}
[7,4,3,2,1,5,8,6]=>{{1,7,8},{2,4},{3},{5},{6}}
[6,4,3,2,1,5,8,7]=>{{1,6},{2,4},{3},{5},{7,8}}
[3,5,4,2,6,8,1,7]=>{{1,3,4},{2,5,6,8},{7}}
[3,2,6,4,8,5,1,7]=>{{1,3,6},{2},{4},{5,8},{7}}
[3,2,5,8,4,6,1,7]=>{{1,3,5},{2},{4,8},{6},{7}}
[4,2,1,5,7,3,6,8]=>{{1,4,5,7},{2},{3},{6},{8}}
[4,5,2,3,7,1,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[4,2,5,3,8,1,6,7]=>{{1,4},{2},{3,5,8},{6},{7}}
[4,2,5,8,3,1,6,7]=>{{1,4,8},{2},{3,5},{6},{7}}
[4,1,5,3,8,2,6,7]=>{{1,4},{2},{3,5,8},{6},{7}}
[4,3,2,7,5,1,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}
[4,3,6,2,5,1,7,8]=>{{1,4},{2,3,6},{5},{7},{8}}
[4,6,7,1,3,2,5,8]=>{{1,4},{2,6},{3,7},{5},{8}}
[4,5,1,7,3,2,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}
[4,5,1,3,7,2,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}
[3,5,1,4,2,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}
[2,5,1,4,3,7,8,6]=>{{1,2,5},{3},{4},{6,7,8}}
[5,2,1,4,3,7,8,6]=>{{1,5},{2},{3},{4},{6,7,8}}
[5,3,1,4,2,7,6,8]=>{{1,5},{2,3},{4},{6,7},{8}}
[4,3,1,7,5,2,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}
[5,3,6,4,1,2,7,8]=>{{1,5},{2,3,6},{4},{7},{8}}
[4,3,6,1,7,2,5,8]=>{{1,4},{2,3,6},{5,7},{8}}
[6,3,4,1,2,7,5,8]=>{{1,6,7},{2,3,4},{5},{8}}
[6,2,4,1,3,7,8,5]=>{{1,6,7,8},{2},{3,4},{5}}
[3,6,4,1,2,7,5,8]=>{{1,3,4},{2,6,7},{5},{8}}
[4,6,3,1,7,2,5,8]=>{{1,4},{2,6},{3},{5,7},{8}}
[5,3,6,2,1,4,7,8]=>{{1,5},{2,3,6},{4},{7},{8}}
[4,5,2,7,3,1,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}
[4,6,7,2,3,1,5,8]=>{{1,4},{2,6},{3,7},{5},{8}}
[4,6,2,1,7,3,5,8]=>{{1,4},{2,6},{3},{5,7},{8}}
[3,2,6,1,4,7,5,8]=>{{1,3,6,7},{2},{4},{5},{8}}
[3,6,7,2,4,5,1,8]=>{{1,3,7},{2,6},{4},{5},{8}}
[7,2,1,4,6,3,8,5]=>{{1,7,8},{2},{3},{4},{5,6}}
[7,3,1,4,6,8,2,5]=>{{1,7},{2,3},{4},{5,6,8}}
[3,6,2,1,5,7,4,8]=>{{1,3},{2,6,7},{4},{5},{8}}
[7,4,1,5,6,2,3,8]=>{{1,7},{2,4,5,6},{3},{8}}
[7,3,1,5,2,6,4,8]=>{{1,7},{2,3},{4,5},{6},{8}}
[7,2,1,5,3,6,8,4]=>{{1,7,8},{2},{3},{4,5},{6}}
[6,2,5,1,3,7,8,4]=>{{1,6,7,8},{2},{3,5},{4}}
[6,3,5,1,2,7,4,8]=>{{1,6,7},{2,3,5},{4},{8}}
[6,4,5,1,7,2,3,8]=>{{1,6},{2,4},{3,5,7},{8}}
[4,6,5,1,7,2,3,8]=>{{1,4},{2,6},{3,5,7},{8}}
[3,6,5,1,2,7,4,8]=>{{1,3,5},{2,6,7},{4},{8}}
[2,4,1,5,3,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}}
[3,4,5,1,2,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}
[1,8,4,5,3,2,7,6]=>{{1},{2,8},{3,4,5},{6},{7}}
[2,4,8,5,3,1,7,6]=>{{1,2,4,5},{3,8},{6},{7}}
[3,4,5,2,8,1,7,6]=>{{1,3,5,8},{2,4},{6},{7}}
[3,4,6,2,1,7,8,5]=>{{1,3,6,7,8},{2,4},{5}}
[3,4,6,2,1,7,5,8]=>{{1,3,6,7},{2,4},{5},{8}}
[3,5,6,2,7,1,8,4]=>{{1,3,6},{2,5,7,8},{4}}
[3,4,6,2,8,7,1,5]=>{{1,3,6,7},{2,4},{5,8}}
[3,4,6,8,2,7,1,5]=>{{1,3,6,7},{2,4,8},{5}}
[2,4,8,6,3,7,1,5]=>{{1,2,4,6,7},{3,8},{5}}
[1,8,4,6,3,7,2,5]=>{{1},{2,8},{3,4,6,7},{5}}
[1,8,4,6,3,7,5,2]=>{{1},{2,8},{3,4,6,7},{5}}
[3,4,6,8,2,7,5,1]=>{{1,3,6,7},{2,4,8},{5}}
[3,4,6,2,8,7,5,1]=>{{1,3,6,7},{2,4},{5,8}}
[3,5,6,2,7,8,4,1]=>{{1,3,6,8},{2,5,7},{4}}
[3,5,6,2,7,4,1,8]=>{{1,3,6},{2,5,7},{4},{8}}
[4,5,6,7,2,8,3,1]=>{{1,4,7},{2,5},{3,6,8}}
[2,5,8,6,7,3,4,1]=>{{1,2,5,7},{3,8},{4,6}}
[1,8,5,6,7,3,2,4]=>{{1},{2,8},{3,5,7},{4,6}}
[4,5,6,7,2,1,8,3]=>{{1,4,7,8},{2,5},{3,6}}
[3,4,6,1,8,7,2,5]=>{{1,3,6,7},{2,4},{5,8}}
[2,4,1,6,8,7,3,5]=>{{1,2,4,6,7},{3},{5,8}}
[2,5,1,6,7,8,4,3]=>{{1,2,5,7},{3},{4,6,8}}
[2,5,1,6,7,4,3,8]=>{{1,2,5,7},{3},{4,6},{8}}
[3,5,6,1,7,4,2,8]=>{{1,3,6},{2,5,7},{4},{8}}
[3,5,6,1,7,4,8,2]=>{{1,3,6},{2,5,7,8},{4}}
[3,4,6,1,8,7,5,2]=>{{1,3,6,7},{2,4},{5,8}}
[3,4,6,8,1,7,5,2]=>{{1,3,6,7},{2,4,8},{5}}
[2,4,8,6,1,7,5,3]=>{{1,2,4,6,7},{3,8},{5}}
[1,8,4,6,2,7,5,3]=>{{1},{2,8},{3,4,6,7},{5}}
[1,8,5,6,7,2,4,3]=>{{1},{2,8},{3,5,7},{4,6}}
[2,5,8,6,7,1,4,3]=>{{1,2,5,7},{3,8},{4,6}}
[4,5,6,7,1,3,8,2]=>{{1,4,7,8},{2,5},{3,6}}
[3,5,6,8,7,4,1,2]=>{{1,3,6},{2,5,7},{4,8}}
[2,5,8,6,7,4,1,3]=>{{1,2,5,7},{3,8},{4,6}}
[1,8,5,6,7,4,2,3]=>{{1},{2,8},{3,5,7},{4,6}}
[1,8,5,6,7,4,3,2]=>{{1},{2,8},{3,5,7},{4,6}}
[2,5,8,6,7,4,3,1]=>{{1,2,5,7},{3,8},{4,6}}
[8,2,4,3,7,1,6,5]=>{{1,8},{2},{3,4},{5,7},{6}}
[5,8,2,4,3,7,1,6]=>{{1,5},{2,8},{3},{4},{6,7}}
[4,2,5,6,1,8,3,7]=>{{1,4,6,8},{2},{3,5},{7}}
[4,2,5,6,1,7,3,8]=>{{1,4,6,7},{2},{3,5},{8}}
[6,1,5,7,3,2,4,8]=>{{1,6},{2},{3,5},{4,7},{8}}
[6,1,5,8,3,2,4,7]=>{{1,6},{2},{3,5},{4,8},{7}}
[3,8,2,4,7,1,5,6]=>{{1,3},{2,8},{4},{5,7},{6}}
[3,6,8,2,4,7,1,5]=>{{1,3,8},{2,6,7},{4},{5}}
[7,3,2,4,6,1,5,8]=>{{1,7},{2,3},{4},{5,6},{8}}
[3,2,5,1,8,4,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}
[7,8,3,2,4,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,1,5,7,8,3,2,4]=>{{1,6},{2},{3,5,8},{4,7}}
[4,2,5,6,1,7,8,3]=>{{1,4,6,7,8},{2},{3,5}}
[5,7,6,1,8,3,4,2]=>{{1,5,8},{2,7},{3,6},{4}}
[5,8,6,1,7,3,4,2]=>{{1,5,7},{2,8},{3,6},{4}}
[6,1,5,8,7,3,2,4]=>{{1,6},{2},{3,5,7},{4,8}}
[8,7,3,2,4,6,1,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[3,2,5,1,8,7,4,6]=>{{1,3,5,8},{2},{4},{6,7}}
[3,2,5,1,6,4,7,8]=>{{1,3,5,6},{2},{4},{7},{8}}
[3,2,4,1,8,7,5,6]=>{{1,3,4},{2},{5,8},{6,7}}
[3,2,5,1,6,8,7,4]=>{{1,3,5,6,8},{2},{4},{7}}
[3,8,6,5,1,7,4,2]=>{{1,3,6,7},{2,8},{4,5}}
[3,7,6,5,1,8,4,2]=>{{1,3,6,8},{2,7},{4,5}}
[6,5,1,7,8,4,2,3]=>{{1,6},{2,5,8},{3},{4,7}}
[3,2,5,1,6,7,8,4]=>{{1,3,5,6,7,8},{2},{4}}
[3,2,4,1,7,5,6,8]=>{{1,3,4},{2},{5,7},{6},{8}}
[3,2,4,1,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}
[8,3,2,4,7,6,1,5]=>{{1,8},{2,3},{4},{5,7},{6}}
[3,2,5,1,8,4,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}
[3,2,5,1,6,7,4,8]=>{{1,3,5,6,7},{2},{4},{8}}
[6,5,1,7,4,2,3,8]=>{{1,6},{2,5},{3},{4,7},{8}}
[6,5,1,8,4,2,3,7]=>{{1,6},{2,5},{3},{4,8},{7}}
[8,4,2,3,7,5,1,6]=>{{1,8},{2,4},{3},{5,7},{6}}
[5,2,6,1,8,3,7,4]=>{{1,5,8},{2},{3,6},{4},{7}}
[5,2,6,1,8,4,7,3]=>{{1,5,8},{2},{3,6},{4},{7}}
[7,4,2,3,8,5,1,6]=>{{1,7},{2,4},{3},{5,8},{6}}
[8,5,1,6,4,2,3,7]=>{{1,8},{2,5},{3},{4,6},{7}}
[3,2,5,1,7,6,4,8]=>{{1,3,5,7},{2},{4},{6},{8}}
[3,2,5,1,8,6,4,7]=>{{1,3,5,8},{2},{4},{6},{7}}
[8,6,1,5,7,3,2,4]=>{{1,8},{2,6},{3},{4,5,7}}
[8,5,6,1,7,3,4,2]=>{{1,8},{2,5,7},{3,6},{4}}
[3,6,8,5,1,7,4,2]=>{{1,3,8},{2,6,7},{4,5}}
[8,5,1,6,7,4,2,3]=>{{1,8},{2,5,7},{3},{4,6}}
[3,2,5,1,8,6,7,4]=>{{1,3,5,8},{2},{4},{6},{7}}
[3,2,4,1,5,8,6,7]=>{{1,3,4},{2},{5},{6,8},{7}}
[3,2,5,1,7,8,6,4]=>{{1,3,5,7},{2},{4},{6,8}}
[8,7,5,1,6,4,2,3]=>{{1,8},{2,7},{3,5,6},{4}}
[3,2,5,1,8,7,6,4]=>{{1,3,5,8},{2},{4},{6,7}}
[4,6,3,7,1,8,5,2]=>{{1,4,7},{2,6,8},{3},{5}}
[4,6,3,7,5,1,8,2]=>{{1,4,7,8},{2,6},{3},{5}}
[4,2,6,1,7,5,3,8]=>{{1,4},{2},{3,6},{5,7},{8}}
[2,5,7,4,1,6,3,8]=>{{1,2,5},{3,7},{4},{6},{8}}
[2,5,7,4,1,6,8,3]=>{{1,2,5},{3,7,8},{4},{6}}
[5,4,7,8,3,1,6,2]=>{{1,5},{2,4,8},{3,7},{6}}
[4,3,7,5,1,8,6,2]=>{{1,4,5},{2,3,7},{6,8}}
[6,4,3,8,5,1,7,2]=>{{1,6},{2,4,8},{3},{5},{7}}
[5,8,4,3,6,1,7,2]=>{{1,5,6},{2,8},{3,4},{7}}
[5,4,8,3,6,1,7,2]=>{{1,5,6},{2,4},{3,8},{7}}
[2,5,4,6,1,7,3,8]=>{{1,2,5},{3,4,6,7},{8}}
[4,6,2,1,8,5,7,3]=>{{1,4},{2,6},{3},{5,8},{7}}
[2,4,1,7,5,8,6,3]=>{{1,2,4,7},{3},{5},{6,8}}
[2,4,1,7,5,3,8,6]=>{{1,2,4,7,8},{3},{5},{6}}
[2,6,4,1,8,5,3,7]=>{{1,2,6},{3,4},{5,8},{7}}
[5,4,8,2,1,6,3,7]=>{{1,5},{2,4},{3,8},{6},{7}}
[2,5,8,4,1,6,3,7]=>{{1,2,5},{3,8},{4},{6},{7}}
[3,2,5,6,1,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}
[4,8,3,2,6,1,5,7]=>{{1,4},{2,8},{3},{5,6},{7}}
[3,5,2,8,1,6,4,7]=>{{1,3},{2,5},{4,8},{6},{7}}
[3,2,1,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}
[3,2,7,1,5,4,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}
[3,2,7,1,5,8,6,4]=>{{1,3,7},{2},{4},{5},{6,8}}
[3,8,2,5,1,6,7,4]=>{{1,3},{2,8},{4,5},{6},{7}}
[4,8,3,2,6,7,1,5]=>{{1,4},{2,8},{3},{5,6,7}}
[4,3,8,2,6,7,1,5]=>{{1,4},{2,3,8},{5,6,7}}
[4,3,2,6,7,8,1,5]=>{{1,4,6,8},{2,3},{5,7}}
[4,3,2,6,7,1,5,8]=>{{1,4,6},{2,3},{5,7},{8}}
[4,3,7,8,2,6,1,5]=>{{1,4,8},{2,3,7},{5},{6}}
[2,5,7,4,8,1,6,3]=>{{1,2,5,8},{3,7},{4},{6}}
[3,2,5,7,1,6,8,4]=>{{1,3,5},{2},{4,7,8},{6}}
[3,2,5,7,1,6,4,8]=>{{1,3,5},{2},{4,7},{6},{8}}
[6,3,2,7,1,5,4,8]=>{{1,6},{2,3},{4,7},{5},{8}}
[6,3,2,7,1,5,8,4]=>{{1,6},{2,3},{4,7,8},{5}}
[6,3,2,7,8,1,5,4]=>{{1,6},{2,3},{4,7},{5,8}}
[6,5,2,1,7,8,4,3]=>{{1,6,8},{2,5,7},{3},{4}}
[6,2,1,8,5,3,7,4]=>{{1,6},{2},{3},{4,8},{5},{7}}
[6,3,2,7,1,4,8,5]=>{{1,6},{2,3},{4,7,8},{5}}
[6,3,2,1,4,7,8,5]=>{{1,6,7,8},{2,3},{4},{5}}
[6,3,2,1,4,7,5,8]=>{{1,6,7},{2,3},{4},{5},{8}}
[3,5,2,1,7,8,4,6]=>{{1,3},{2,5,7},{4},{6,8}}
[4,6,2,1,8,3,7,5]=>{{1,4},{2,6},{3},{5,8},{7}}
[3,2,7,1,4,8,6,5]=>{{1,3,7},{2},{4},{5},{6,8}}
[3,5,8,2,1,7,4,6]=>{{1,3,8},{2,5},{4},{6,7}}
[4,8,3,7,2,1,5,6]=>{{1,4,7},{2,8},{3},{5},{6}}
[4,3,7,2,8,1,5,6]=>{{1,4},{2,3,7},{5,8},{6}}
[4,3,7,2,1,5,6,8]=>{{1,4},{2,3,7},{5},{6},{8}}
[4,8,3,2,7,1,5,6]=>{{1,4},{2,8},{3},{5,7},{6}}
[6,3,2,8,1,4,7,5]=>{{1,6},{2,3},{4,8},{5},{7}}
[3,2,1,4,7,5,8,6]=>{{1,3},{2},{4},{5,7,8},{6}}
[5,3,2,1,8,4,6,7]=>{{1,5,8},{2,3},{4},{6},{7}}
[4,8,3,2,1,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}
[4,3,8,2,1,5,6,7]=>{{1,4},{2,3,8},{5},{6},{7}}
[6,2,3,1,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}
[8,4,5,2,3,1,7,6]=>{{1,8},{2,4},{3,5},{6},{7}}
[8,2,5,3,4,1,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}
[6,2,5,3,4,1,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}
[6,4,5,1,3,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}
[6,1,5,3,4,2,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}
[8,3,7,2,4,1,6,5]=>{{1,8},{2,3,7},{4},{5},{6}}
[8,3,5,1,4,2,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}
[8,4,5,1,3,2,7,6]=>{{1,8},{2,4},{3,5},{6},{7}}
[2,1,8,4,5,3,7,6]=>{{1,2},{3,8},{4},{5},{6},{7}}
[8,1,7,3,4,2,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,2,7,1,4,3,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,2,7,3,4,1,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,4,7,2,3,1,6,5]=>{{1,8},{2,4},{3,7},{5},{6}}
[8,2,3,1,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}
[4,2,3,1,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}
[8,2,3,1,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[8,6,7,1,3,2,5,4]=>{{1,8},{2,6},{3,7},{4},{5}}
[8,1,3,2,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,1,8,5,7,3,6,4]=>{{1,2},{3,8},{4,5,7},{6}}
[4,5,8,6,3,2,7,1]=>{{1,4,6},{2,5},{3,8},{7}}
[1,5,8,7,3,6,2,4]=>{{1},{2,5},{3,8},{4,7},{6}}
[1,7,2,8,4,6,5,3]=>{{1},{2,7},{3},{4,8},{5},{6}}
[6,7,2,8,4,1,5,3]=>{{1,6},{2,7},{3},{4,8},{5}}
[3,6,2,8,4,5,7,1]=>{{1,3},{2,6},{4,8},{5},{7}}
[2,6,1,8,4,5,7,3]=>{{1,2,6},{3},{4,8},{5},{7}}
[2,8,4,6,1,5,7,3]=>{{1,2,8},{3,4,6},{5},{7}}
[6,3,1,8,4,5,7,2]=>{{1,6},{2,3},{4,8},{5},{7}}
[2,3,6,8,4,5,7,1]=>{{1,2,3,6},{4,8},{5},{7}}
[6,3,7,8,4,1,5,2]=>{{1,6},{2,3,7},{4,8},{5}}
[1,3,7,8,4,6,5,2]=>{{1},{2,3,7},{4,8},{5},{6}}
[3,6,7,8,4,2,5,1]=>{{1,3,7},{2,6},{4,8},{5}}
[7,6,1,8,4,2,5,3]=>{{1,7},{2,6},{3},{4,8},{5}}
[2,8,3,7,1,6,5,4]=>{{1,2,8},{3},{4,7},{5},{6}}
[5,2,8,7,3,6,1,4]=>{{1,5},{2},{3,8},{4,7},{6}}
[7,2,1,8,4,6,5,3]=>{{1,7},{2},{3},{4,8},{5},{6}}
[3,2,7,8,4,6,5,1]=>{{1,3,7},{2},{4,8},{5},{6}}
[5,2,7,8,1,4,6,3]=>{{1,5},{2},{3,7},{4,8},{6}}
[1,2,7,8,5,4,6,3]=>{{1},{2},{3,7},{4,8},{5},{6}}
[7,2,5,8,3,4,6,1]=>{{1,7},{2},{3,5},{4,8},{6}}
[6,2,8,5,4,3,1,7]=>{{1,6},{2},{3,8},{4,5},{7}}
[2,8,3,5,4,1,6,7]=>{{1,2,8},{3},{4,5},{6},{7}}
[2,8,4,5,3,1,6,7]=>{{1,2,8},{3,4,5},{6},{7}}
[7,3,5,8,2,4,6,1]=>{{1,7},{2,3,5},{4,8},{6}}
[4,3,1,2,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}
[2,7,6,8,4,3,5,1]=>{{1,2,7},{3,6},{4,8},{5}}
[1,7,5,8,3,4,6,2]=>{{1},{2,7},{3,5},{4,8},{6}}
[4,6,8,5,1,3,2,7]=>{{1,4,5},{2,6},{3,8},{7}}
[2,4,8,3,6,5,1,7]=>{{1,2,4},{3,8},{5,6},{7}}
[4,1,8,3,5,6,2,7]=>{{1,4},{2},{3,8},{5},{6},{7}}
[5,6,8,4,1,3,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}
[4,6,8,1,5,3,2,7]=>{{1,4},{2,6},{3,8},{5},{7}}
[1,6,8,4,5,3,2,7]=>{{1},{2,6},{3,8},{4},{5},{7}}
[1,7,3,8,5,4,6,2]=>{{1},{2,7},{3},{4,8},{5},{6}}
[3,7,1,8,5,4,6,2]=>{{1,3},{2,7},{4,8},{5},{6}}
[2,7,3,8,4,6,5,1]=>{{1,2,7},{3},{4,8},{5},{6}}
[2,8,7,4,1,6,5,3]=>{{1,2,8},{3,7},{4},{5},{6}}
[2,8,5,4,3,1,6,7]=>{{1,2,8},{3,5},{4},{6},{7}}
[1,4,3,2,8,5,6,7]=>{{1},{2,4},{3},{5,8},{6},{7}}
[7,3,2,8,5,4,6,1]=>{{1,7},{2,3},{4,8},{5},{6}}
[6,4,8,2,5,3,1,7]=>{{1,6},{2,4},{3,8},{5},{7}}
[2,8,4,3,5,1,6,7]=>{{1,2,8},{3,4},{5},{6},{7}}
[6,2,8,4,5,3,1,7]=>{{1,6},{2},{3,8},{4},{5},{7}}
[7,2,3,8,5,4,6,1]=>{{1,7},{2},{3},{4,8},{5},{6}}
[4,2,3,1,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}
[5,1,3,2,4,8,6,7]=>{{1,5},{2},{3},{4},{6,8},{7}}
[2,8,1,5,3,4,7,6]=>{{1,2,8},{3},{4,5},{6},{7}}
[1,4,2,8,5,3,6,7]=>{{1},{2,4,8},{3},{5},{6},{7}}
[3,5,1,4,8,2,6,7]=>{{1,3},{2,5,8},{4},{6},{7}}
[1,5,2,8,4,3,6,7]=>{{1},{2,5},{3},{4,8},{6},{7}}
[1,2,5,4,3,8,6,7]=>{{1},{2},{3,5},{4},{6,8},{7}}
[1,2,4,8,5,3,7,6]=>{{1},{2},{3,4,8},{5},{6},{7}}
[1,5,2,7,8,4,3,6]=>{{1},{2,5,8},{3},{4,7},{6}}
[5,1,2,7,4,8,3,6]=>{{1,5},{2},{3},{4,7},{6,8}}
[8,3,5,1,4,7,2,6]=>{{1,8},{2,3,5},{4},{6,7}}
[1,2,8,5,7,4,3,6]=>{{1},{2},{3,8},{4,5,7},{6}}
[1,2,4,8,7,5,3,6]=>{{1},{2},{3,4,8},{5,7},{6}}
[2,8,1,4,3,7,6,5]=>{{1,2,8},{3},{4},{5},{6,7}}
[7,6,1,4,2,8,3,5]=>{{1,7},{2,6,8},{3},{4},{5}}
[7,1,6,2,8,4,3,5]=>{{1,7},{2},{3,6},{4},{5,8}}
[1,4,2,7,8,5,3,6]=>{{1},{2,4,7},{3},{5,8},{6}}
[6,1,2,8,4,3,7,5]=>{{1,6},{2},{3},{4,8},{5},{7}}
[6,4,1,2,8,3,7,5]=>{{1,6},{2,4},{3},{5,8},{7}}
[7,6,1,3,2,4,8,5]=>{{1,7,8},{2,6},{3},{4},{5}}
[6,7,1,3,2,4,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}
[1,2,7,3,5,8,4,6]=>{{1},{2},{3,7},{4},{5},{6,8}}
[5,8,1,3,7,2,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}
[1,2,5,8,7,3,4,6]=>{{1},{2},{3,5,7},{4,8},{6}}
[8,6,1,3,2,4,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}
[4,2,8,1,7,3,6,5]=>{{1,4},{2},{3,8},{5,7},{6}}
[7,1,2,8,4,3,6,5]=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,2,8,4,7,5,3,6]=>{{1},{2},{3,8},{4},{5,7},{6}}
[1,2,8,7,4,5,3,6]=>{{1},{2},{3,8},{4,7},{5},{6}}
[2,8,1,7,5,3,4,6]=>{{1,2,8},{3},{4,7},{5},{6}}
[8,3,7,1,5,2,4,6]=>{{1,8},{2,3,7},{4},{5},{6}}
[8,6,1,4,2,7,3,5]=>{{1,8},{2,6,7},{3},{4},{5}}
[7,1,2,8,6,4,3,5]=>{{1,7},{2},{3},{4,8},{5,6}}
[3,7,4,8,1,6,2,5]=>{{1,3,4,8},{2,7},{5},{6}}
[3,4,8,7,1,6,2,5]=>{{1,3,8},{2,4,7},{5},{6}}
[4,2,8,1,7,6,3,5]=>{{1,4},{2},{3,8},{5,7},{6}}
[2,8,1,7,6,4,3,5]=>{{1,2,8},{3},{4,7},{5,6}}
[7,8,3,4,1,5,2,6]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,8,3,4,1,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}
[5,7,3,4,1,8,2,6]=>{{1,5},{2,7},{3},{4},{6,8}}
[5,8,3,4,1,7,2,6]=>{{1,5},{2,8},{3},{4},{6,7}}
[4,7,3,5,1,6,2,8]=>{{1,4,5},{2,7},{3},{6},{8}}
[4,8,3,5,1,6,2,7]=>{{1,4,5},{2,8},{3},{6},{7}}
[4,8,3,5,1,7,2,6]=>{{1,4,5},{2,8},{3},{6,7}}
[4,7,3,5,1,8,2,6]=>{{1,4,5},{2,7},{3},{6,8}}
[5,6,2,3,1,7,4,8]=>{{1,5},{2,6,7},{3},{4},{8}}
[5,6,2,4,1,8,3,7]=>{{1,5},{2,6,8},{3},{4},{7}}
[5,6,2,4,1,7,3,8]=>{{1,5},{2,6,7},{3},{4},{8}}
[4,6,2,5,1,7,3,8]=>{{1,4,5},{2,6,7},{3},{8}}
[4,6,2,5,1,8,3,7]=>{{1,4,5},{2,6,8},{3},{7}}
[4,5,1,8,3,7,2,6]=>{{1,4,8},{2,5},{3},{6,7}}
[4,6,2,7,3,8,1,5]=>{{1,4,7},{2,6,8},{3},{5}}
[5,6,2,7,3,8,1,4]=>{{1,5},{2,6,8},{3},{4,7}}
[5,6,2,8,4,7,1,3]=>{{1,5},{2,6,7},{3},{4,8}}
[5,6,2,8,3,7,1,4]=>{{1,5},{2,6,7},{3},{4,8}}
[4,6,2,8,3,7,1,5]=>{{1,4,8},{2,6,7},{3},{5}}
[4,5,1,7,3,6,2,8]=>{{1,4,7},{2,5},{3},{6},{8}}
[4,5,1,8,3,6,2,7]=>{{1,4,8},{2,5},{3},{6},{7}}
[6,5,3,2,1,4,8,7]=>{{1,6},{2,5},{3},{4},{7,8}}
[8,7,3,5,2,4,1,6]=>{{1,8},{2,7},{3},{4,5},{6}}
[6,8,2,4,5,7,3,1]=>{{1,6,7},{2,8},{3},{4},{5}}
[3,6,1,4,5,2,8,7]=>{{1,3},{2,6},{4},{5},{7,8}}
[8,3,7,4,5,2,1,6]=>{{1,8},{2,3,7},{4},{5},{6}}
[6,3,8,4,5,7,2,1]=>{{1,6,7},{2,3,8},{4},{5}}
[8,1,7,4,3,6,2,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,7,3,5,1,4,2,6]=>{{1,8},{2,7},{3},{4,5},{6}}
[2,1,6,8,5,7,4,3]=>{{1,2},{3,6,7},{4,8},{5}}
[6,8,3,5,1,7,4,2]=>{{1,6,7},{2,8},{3},{4,5}}
[2,5,8,4,7,6,3,1]=>{{1,2,5,7},{3,8},{4},{6}}
[4,3,8,1,5,6,7,2]=>{{1,4},{2,3,8},{5},{6},{7}}
[4,8,3,6,1,2,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}
[3,8,7,4,1,6,2,5]=>{{1,3,7},{2,8},{4},{5},{6}}
[3,8,1,2,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}
[2,8,7,4,5,1,3,6]=>{{1,2,8},{3,7},{4},{5},{6}}
[8,7,2,4,1,6,3,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[5,8,3,6,2,4,7,1]=>{{1,5},{2,8},{3},{4,6},{7}}
[8,6,3,2,1,4,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,7,3,5,2,1,4,6]=>{{1,8},{2,7},{3},{4,5},{6}}
[5,8,3,6,2,1,7,4]=>{{1,5},{2,8},{3},{4,6},{7}}
[6,1,8,4,5,7,2,3]=>{{1,6,7},{2},{3,8},{4},{5}}
[6,8,3,5,1,7,2,4]=>{{1,6,7},{2,8},{3},{4,5}}
[5,8,3,6,1,2,7,4]=>{{1,5},{2,8},{3},{4,6},{7}}
[5,8,1,4,7,6,2,3]=>{{1,5,7},{2,8},{3},{4},{6}}
[4,5,3,8,6,1,7,2]=>{{1,4,8},{2,5,6},{3},{7}}
[4,5,7,6,2,3,8,1]=>{{1,4,6},{2,5},{3,7,8}}
[3,5,7,2,6,4,8,1]=>{{1,3,7,8},{2,5,6},{4}}
[2,5,7,3,6,4,8,1]=>{{1,2,5,6},{3,7,8},{4}}
[8,4,3,7,6,1,5,2]=>{{1,8},{2,4,7},{3},{5,6}}
[6,7,2,3,5,4,8,1]=>{{1,6},{2,7,8},{3},{4},{5}}
[5,2,7,3,6,4,8,1]=>{{1,5,6},{2},{3,7,8},{4}}
[8,3,4,7,6,1,5,2]=>{{1,8},{2,3,4,7},{5,6}}
[8,2,4,7,1,6,5,3]=>{{1,8},{2},{3,4,7},{5},{6}}
[3,1,4,7,6,8,5,2]=>{{1,3,4,7},{2},{5,6,8}}
[5,1,7,3,6,8,4,2]=>{{1,5,6,8},{2},{3,7},{4}}
[6,7,1,3,5,8,4,2]=>{{1,6,8},{2,7},{3},{4},{5}}
[4,8,3,7,6,1,5,2]=>{{1,4,7},{2,8},{3},{5,6}}
[2,8,4,7,1,6,5,3]=>{{1,2,8},{3,4,7},{5},{6}}
[8,1,4,7,2,6,5,3]=>{{1,8},{2},{3,4,7},{5},{6}}
[8,1,3,2,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,8,3,1,7,6,5,4]=>{{1,2,8},{3},{4},{5,7},{6}}
[6,7,1,2,8,5,4,3]=>{{1,6},{2,7},{3},{4},{5,8}}
[8,2,3,1,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[1,4,2,7,8,6,5,3]=>{{1},{2,4,7},{3},{5,8},{6}}
[8,4,2,7,1,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}
[8,5,7,2,1,6,4,3]=>{{1,8},{2,5},{3,7},{4},{6}}
[1,5,7,2,8,6,4,3]=>{{1},{2,5,8},{3,7},{4},{6}}
[2,5,7,1,8,6,4,3]=>{{1,2,5,8},{3,7},{4},{6}}
[3,5,7,1,6,8,4,2]=>{{1,3,7},{2,5,6,8},{4}}
[6,7,4,5,8,1,3,2]=>{{1,6},{2,7},{3,4,5,8}}
[2,5,7,8,1,6,4,3]=>{{1,2,5},{3,7},{4,8},{6}}
[1,5,7,8,2,6,4,3]=>{{1},{2,5},{3,7},{4,8},{6}}
[8,5,7,1,2,6,4,3]=>{{1,8},{2,5},{3,7},{4},{6}}
[8,4,1,7,2,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}
[6,7,2,8,1,5,4,3]=>{{1,6},{2,7},{3},{4,8},{5}}
[5,2,7,8,1,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}
[4,2,8,7,1,6,5,3]=>{{1,4,7},{2},{3,8},{5},{6}}
[1,3,8,2,7,6,5,4]=>{{1},{2,3,8},{4},{5,7},{6}}
[8,3,1,2,7,6,5,4]=>{{1,8},{2,3},{4},{5,7},{6}}
[8,2,1,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,1,8,3,7,6,5,4]=>{{1,2},{3,8},{4},{5,7},{6}}
[5,1,7,8,2,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}
[6,7,1,8,2,5,4,3]=>{{1,6},{2,7},{3},{4,8},{5}}
[4,8,1,7,2,6,5,3]=>{{1,4,7},{2,8},{3},{5},{6}}
[3,8,1,2,7,6,5,4]=>{{1,3},{2,8},{4},{5,7},{6}}
[1,8,2,3,7,6,5,4]=>{{1},{2,8},{3},{4},{5,7},{6}}
[3,7,1,5,8,2,6,4]=>{{1,3},{2,7},{4,5,8},{6}}
[2,7,1,5,8,3,6,4]=>{{1,2,7},{3},{4,5,8},{6}}
[2,6,5,1,8,3,7,4]=>{{1,2,6},{3,5,8},{4},{7}}
[5,6,4,1,8,7,2,3]=>{{1,5,8},{2,6,7},{3,4}}
[8,1,4,5,7,6,2,3]=>{{1,8},{2},{3,4,5,7},{6}}
[6,4,5,1,8,7,2,3]=>{{1,6,7},{2,4},{3,5,8}}
[5,4,6,1,8,7,2,3]=>{{1,5,8},{2,4},{3,6,7}}
[3,5,6,1,8,2,7,4]=>{{1,3,6},{2,5,8},{4},{7}}
[2,5,6,1,8,3,7,4]=>{{1,2,5,8},{3,6},{4},{7}}
[2,4,6,1,3,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}
[3,4,6,1,2,8,7,5]=>{{1,3,6,8},{2,4},{5},{7}}
[5,3,6,1,8,2,7,4]=>{{1,5,8},{2,3,6},{4},{7}}
[7,3,1,5,8,2,6,4]=>{{1,7},{2,3},{4,5,8},{6}}
[8,1,3,5,7,2,6,4]=>{{1,8},{2},{3},{4,5,7},{6}}
[8,1,2,5,7,3,6,4]=>{{1,8},{2},{3},{4,5,7},{6}}
[7,2,1,5,8,3,6,4]=>{{1,7},{2},{3},{4,5,8},{6}}
[6,2,5,1,8,3,7,4]=>{{1,6},{2},{3,5,8},{4},{7}}
[4,2,6,1,3,8,7,5]=>{{1,4},{2},{3,6,8},{5},{7}}
[4,2,5,3,1,8,7,6]=>{{1,4},{2},{3,5},{6,8},{7}}
[6,2,4,1,3,8,7,5]=>{{1,6,8},{2},{3,4},{5},{7}}
[7,2,1,4,3,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}
[8,1,2,4,3,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}
[8,1,3,4,2,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}
[7,3,1,4,2,8,6,5]=>{{1,7},{2,3},{4},{5},{6,8}}
[4,6,3,1,2,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}
[2,6,4,1,3,8,7,5]=>{{1,2,6,8},{3,4},{5},{7}}
[2,7,1,4,3,8,6,5]=>{{1,2,7},{3},{4},{5},{6,8}}
[8,1,6,7,2,3,5,4]=>{{1,8},{2},{3,6},{4,7},{5}}
[4,7,1,2,3,8,6,5]=>{{1,4},{2,7},{3},{5},{6,8}}
[3,7,1,2,4,8,6,5]=>{{1,3},{2,7},{4},{5},{6,8}}
[2,6,3,1,4,8,7,5]=>{{1,2,6,8},{3},{4},{5},{7}}
[3,6,2,1,4,8,7,5]=>{{1,3},{2,6,8},{4},{5},{7}}
[5,6,2,1,8,3,7,4]=>{{1,5,8},{2,6},{3},{4},{7}}
[6,5,2,1,8,3,7,4]=>{{1,6},{2,5,8},{3},{4},{7}}
[8,1,4,2,3,7,6,5]=>{{1,8},{2},{3,4},{5},{6,7}}
[7,4,1,2,3,8,6,5]=>{{1,7},{2,4},{3},{5},{6,8}}
[5,4,2,3,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}
[3,5,2,4,1,8,7,6]=>{{1,3},{2,5},{4},{6,8},{7}}
[7,3,1,2,4,8,6,5]=>{{1,7},{2,3},{4},{5},{6,8}}
[8,1,3,2,4,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}
[7,2,1,3,4,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}
[2,4,3,6,1,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}
[2,4,3,6,5,8,1,7]=>{{1,2,4,6,8},{3},{5},{7}}
[2,4,6,3,5,8,7,1]=>{{1,2,4},{3,6,8},{5},{7}}
[2,4,6,3,5,1,8,7]=>{{1,2,4},{3,6},{5},{7,8}}
[2,4,6,3,1,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}
[2,4,1,6,5,3,8,7]=>{{1,2,4,6},{3},{5},{7,8}}
[2,4,6,1,5,3,8,7]=>{{1,2,4},{3,6},{5},{7,8}}
[4,2,6,5,3,1,8,7]=>{{1,4,5},{2},{3,6},{7,8}}
[4,2,6,5,1,3,8,7]=>{{1,4,5},{2},{3,6},{7,8}}
[4,2,6,5,8,1,7,3]=>{{1,4,5,8},{2},{3,6},{7}}
[4,2,6,5,8,1,3,7]=>{{1,4,5,8},{2},{3,6},{7}}
[4,2,6,5,8,3,1,7]=>{{1,4,5,8},{2},{3,6},{7}}
[2,4,1,6,5,8,3,7]=>{{1,2,4,6,8},{3},{5},{7}}
[2,1,4,6,5,8,3,7]=>{{1,2},{3,4,6,8},{5},{7}}
[2,4,1,6,5,8,7,3]=>{{1,2,4,6,8},{3},{5},{7}}
[2,4,6,1,5,8,7,3]=>{{1,2,4},{3,6,8},{5},{7}}
[4,2,6,5,3,8,7,1]=>{{1,4,5},{2},{3,6,8},{7}}
[2,6,4,3,8,7,5,1]=>{{1,2,6,7},{3,4},{5,8}}
[4,2,6,8,5,3,7,1]=>{{1,4,8},{2},{3,6},{5},{7}}
[2,4,6,8,1,5,7,3]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,1,6,8,5,7,3]=>{{1,2,4,6},{3},{5,8},{7}}
[2,1,4,6,8,5,3,7]=>{{1,2},{3,4,6},{5,8},{7}}
[2,4,6,1,8,5,3,7]=>{{1,2,4},{3,6},{5,8},{7}}
[2,4,6,8,1,5,3,7]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,6,8,3,5,7,1]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,6,8,3,1,5,7]=>{{1,2,4,8},{3,6},{5},{7}}
[2,4,6,3,8,5,7,1]=>{{1,2,4},{3,6},{5,8},{7}}
[2,4,3,6,8,5,7,1]=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,3,6,8,5,1,7]=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,3,6,8,1,5,7]=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,3,6,1,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}
[2,4,3,1,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}
[2,4,1,3,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}
[2,4,3,6,8,1,7,5]=>{{1,2,4,6},{3},{5,8},{7}}
[4,6,5,2,8,7,1,3]=>{{1,4},{2,6,7},{3,5,8}}
[4,6,2,5,8,7,1,3]=>{{1,4,5,8},{2,6,7},{3}}
[4,6,2,5,8,7,3,1]=>{{1,4,5,8},{2,6,7},{3}}
[2,4,6,3,1,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}
[2,4,1,6,3,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}
[2,1,4,6,3,8,7,5]=>{{1,2},{3,4,6,8},{5},{7}}
[2,4,1,6,8,3,7,5]=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,6,8,1,3,7,5]=>{{1,2,4,8},{3,6},{5},{7}}
[4,6,2,8,5,7,3,1]=>{{1,4,8},{2,6,7},{3},{5}}
[4,6,2,8,5,7,1,3]=>{{1,4,8},{2,6,7},{3},{5}}
[6,2,4,8,7,1,3,5]=>{{1,6},{2},{3,4,8},{5,7}}
[2,6,4,8,1,7,5,3]=>{{1,2,6,7},{3,4,8},{5}}
[2,6,4,1,8,7,5,3]=>{{1,2,6,7},{3,4},{5,8}}
[2,1,6,4,8,7,3,5]=>{{1,2},{3,6,7},{4},{5,8}}
[2,6,4,1,8,7,3,5]=>{{1,2,6,7},{3,4},{5,8}}
[2,6,4,8,1,7,3,5]=>{{1,2,6,7},{3,4,8},{5}}
[6,2,4,8,7,3,5,1]=>{{1,6},{2},{3,4,8},{5,7}}
[6,2,4,8,7,3,1,5]=>{{1,6},{2},{3,4,8},{5,7}}
[1,3,7,4,5,8,2,6]=>{{1},{2,3,7},{4},{5},{6,8}}
[1,7,6,3,4,8,2,5]=>{{1},{2,7},{3,6,8},{4},{5}}
[8,1,6,3,7,2,4,5]=>{{1,8},{2},{3,6},{4},{5,7}}
[1,2,7,4,8,3,5,6]=>{{1},{2},{3,7},{4},{5,8},{6}}
[6,1,7,3,4,8,2,5]=>{{1,6,8},{2},{3,7},{4},{5}}
[2,1,7,4,5,8,3,6]=>{{1,2},{3,7},{4},{5},{6,8}}
[5,1,4,7,3,8,2,6]=>{{1,5},{2},{3,4,7},{6,8}}
[4,3,1,7,5,8,2,6]=>{{1,4,7},{2,3},{5},{6,8}}
[2,8,6,3,7,1,4,5]=>{{1,2,8},{3,6},{4},{5,7}}
[6,8,1,3,7,2,4,5]=>{{1,6},{2,8},{3},{4},{5,7}}
[5,8,2,1,7,3,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}
[5,7,2,1,8,3,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,1,3,8,2,4,5]=>{{1,6},{2,7},{3},{4},{5,8}}
[8,5,1,3,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}
[1,5,3,2,8,4,6,7]=>{{1},{2,5,8},{3},{4},{6},{7}}
[2,6,4,8,7,1,3,5]=>{{1,2,6},{3,4,8},{5,7}}
[1,6,4,8,7,2,3,5]=>{{1},{2,6},{3,4,8},{5,7}}
[4,3,2,8,7,1,5,6]=>{{1,4,8},{2,3},{5,7},{6}}
[5,2,4,8,7,1,3,6]=>{{1,5,7},{2},{3,4,8},{6}}
[6,2,8,3,7,1,4,5]=>{{1,6},{2},{3,8},{4},{5,7}}
[5,1,4,8,7,2,3,6]=>{{1,5,7},{2},{3,4,8},{6}}
[3,7,2,1,5,4,8,6]=>{{1,3},{2,7,8},{4},{5},{6}}
[3,8,2,1,5,4,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}
[8,3,2,1,5,4,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}
[8,3,2,1,6,4,5,7]=>{{1,8},{2,3},{4},{5,6},{7}}
[8,4,2,5,1,6,3,7]=>{{1,8},{2,4,5},{3},{6},{7}}
[8,3,2,1,4,6,5,7]=>{{1,8},{2,3},{4},{5},{6},{7}}
[3,8,2,1,4,5,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}
[3,2,7,1,4,6,8,5]=>{{1,3,7,8},{2},{4},{5},{6}}
[3,2,8,1,4,6,7,5]=>{{1,3,8},{2},{4},{5},{6},{7}}
[3,8,2,1,4,7,5,6]=>{{1,3},{2,8},{4},{5},{6,7}}
[3,8,2,1,5,7,4,6]=>{{1,3},{2,8},{4},{5},{6,7}}
[4,8,2,5,1,7,3,6]=>{{1,4,5},{2,8},{3},{6,7}}
[4,7,2,5,1,8,3,6]=>{{1,4,5},{2,7},{3},{6,8}}
[3,7,2,1,5,8,4,6]=>{{1,3},{2,7},{4},{5},{6,8}}
[3,7,2,1,4,8,5,6]=>{{1,3},{2,7},{4},{5},{6,8}}
[3,2,1,7,5,8,6,4]=>{{1,3},{2},{4,7},{5},{6,8}}
[4,2,7,6,1,8,3,5]=>{{1,4,6,8},{2},{3,7},{5}}
[4,3,7,6,8,1,2,5]=>{{1,4,6},{2,3,7},{5,8}}
[4,3,8,6,7,1,2,5]=>{{1,4,6},{2,3,8},{5,7}}
[3,8,2,1,7,4,5,6]=>{{1,3},{2,8},{4},{5,7},{6}}
[3,2,8,1,6,4,7,5]=>{{1,3,8},{2},{4},{5,6},{7}}
[3,2,7,1,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}
[4,2,7,6,1,3,8,5]=>{{1,4,6},{2},{3,7,8},{5}}
[4,2,8,6,1,3,7,5]=>{{1,4,6},{2},{3,8},{5},{7}}
[5,7,8,3,4,1,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}
[4,2,6,8,1,3,7,5]=>{{1,4,8},{2},{3,6},{5},{7}}
[4,2,6,7,1,3,8,5]=>{{1,4,7,8},{2},{3,6},{5}}
[3,2,6,1,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}
[3,7,2,1,8,5,4,6]=>{{1,3},{2,7},{4},{5,8},{6}}
[4,7,3,8,5,1,2,6]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,3,7,8,6,1,2,5]=>{{1,4,8},{2,3,7},{5,6}}
[3,2,7,1,8,6,4,5]=>{{1,3,7},{2},{4},{5,8},{6}}
[3,2,1,6,8,5,7,4]=>{{1,3},{2},{4,6},{5,8},{7}}
[3,2,6,1,8,7,4,5]=>{{1,3,6,7},{2},{4},{5,8}}
[4,2,6,8,1,7,3,5]=>{{1,4,8},{2},{3,6,7},{5}}
[4,3,6,8,7,1,2,5]=>{{1,4,8},{2,3,6},{5,7}}
[4,2,6,7,1,8,3,5]=>{{1,4,7},{2},{3,6,8},{5}}
[3,2,6,1,7,8,4,5]=>{{1,3,6,8},{2},{4},{5,7}}
[5,3,6,4,8,7,1,2]=>{{1,5,8},{2,3,6,7},{4}}
[1,4,6,2,7,8,5,3]=>{{1},{2,4},{3,6,8},{5,7}}
[3,1,8,5,4,2,6,7]=>{{1,3,8},{2},{4,5},{6},{7}}
[1,2,7,5,4,8,6,3]=>{{1},{2},{3,7},{4,5},{6,8}}
[6,3,7,5,4,8,1,2]=>{{1,6,8},{2,3,7},{4,5}}
[1,6,2,5,4,8,7,3]=>{{1},{2,6,8},{3},{4,5},{7}}
[1,8,2,5,7,3,6,4]=>{{1},{2,8},{3},{4,5,7},{6}}
[6,2,1,5,4,8,7,3]=>{{1,6,8},{2},{3},{4,5},{7}}
[4,1,6,2,8,7,5,3]=>{{1,4},{2},{3,6,7},{5,8}}
[7,8,3,1,4,2,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,3,6,1,8,2,7,5]=>{{1,4},{2,3,6},{5,8},{7}}
[7,5,1,6,4,3,2,8]=>{{1,7},{2,5},{3},{4,6},{8}}
[6,1,5,7,4,3,2,8]=>{{1,6},{2},{3,5},{4,7},{8}}
[1,5,8,6,4,3,2,7]=>{{1},{2,5},{3,8},{4,6},{7}}
[7,8,5,1,6,3,2,4]=>{{1,7},{2,8},{3,5,6},{4}}
[2,6,1,5,7,3,8,4]=>{{1,2,6},{3},{4,5,7,8}}
[1,6,8,7,4,3,2,5]=>{{1},{2,6},{3,8},{4,7},{5}}
[6,8,1,7,4,3,2,5]=>{{1,6},{2,8},{3},{4,7},{5}}
[5,6,1,7,4,3,2,8]=>{{1,5},{2,6},{3},{4,7},{8}}
[5,1,7,6,4,3,2,8]=>{{1,5},{2},{3,7},{4,6},{8}}
[6,1,7,8,4,3,2,5]=>{{1,6},{2},{3,7},{4,8},{5}}
[7,1,8,6,4,3,2,5]=>{{1,7},{2},{3,8},{4,6},{5}}
[7,2,1,5,4,6,8,3]=>{{1,7,8},{2},{3},{4,5},{6}}
[1,2,8,5,6,3,7,4]=>{{1},{2},{3,8},{4,5,6},{7}}
[6,1,2,5,7,3,8,4]=>{{1,6},{2},{3},{4,5,7,8}}
[4,3,6,1,5,7,2,8]=>{{1,4},{2,3,6,7},{5},{8}}
[1,3,6,8,5,7,2,4]=>{{1},{2,3,6,7},{4,8},{5}}
[1,3,6,4,8,7,2,5]=>{{1},{2,3,6,7},{4},{5,8}}
[4,1,6,7,3,8,2,5]=>{{1,4,7},{2},{3,6,8},{5}}
[5,4,6,1,3,7,2,8]=>{{1,5},{2,4},{3,6,7},{8}}
[6,4,1,5,2,3,7,8]=>{{1,6},{2,4,5},{3},{7},{8}}
[4,1,7,5,2,3,8,6]=>{{1,4,5},{2},{3,7,8},{6}}
[2,8,3,5,4,1,7,6]=>{{1,2,8},{3},{4,5},{6},{7}}
[7,8,1,4,6,3,2,5]=>{{1,7},{2,8},{3},{4},{5,6}}
[5,1,8,7,4,3,2,6]=>{{1,5},{2},{3,8},{4,7},{6}}
[6,5,1,8,4,3,2,7]=>{{1,6},{2,5},{3},{4,8},{7}}
[6,5,7,1,4,3,2,8]=>{{1,6},{2,5},{3,7},{4},{8}}
[7,5,8,1,4,3,2,6]=>{{1,7},{2,5},{3,8},{4},{6}}
[1,5,7,8,4,3,2,6]=>{{1},{2,5},{3,7},{4,8},{6}}
[2,4,7,5,1,3,8,6]=>{{1,2,4,5},{3,7,8},{6}}
[7,8,4,6,1,3,2,5]=>{{1,7},{2,8},{3,4,6},{5}}
[1,6,5,8,4,3,2,7]=>{{1},{2,6},{3,5},{4,8},{7}}
[6,8,5,1,4,3,2,7]=>{{1,6},{2,8},{3,5},{4},{7}}
[3,6,2,5,4,1,7,8]=>{{1,3},{2,6},{4,5},{7},{8}}
[4,3,6,2,8,1,5,7]=>{{1,4},{2,3,6},{5,8},{7}}
[6,1,2,5,4,7,8,3]=>{{1,6,7,8},{2},{3},{4,5}}
[6,2,4,5,1,3,7,8]=>{{1,6},{2},{3,4,5},{7},{8}}
[4,2,8,5,1,3,7,6]=>{{1,4,5},{2},{3,8},{6},{7}}
[4,3,6,8,1,7,2,5]=>{{1,4,8},{2,3,6,7},{5}}
[5,3,6,4,1,7,2,8]=>{{1,5},{2,3,6,7},{4},{8}}
[1,6,7,4,8,3,5,2]=>{{1},{2,6},{3,7},{4},{5,8}}
[1,4,6,3,7,5,8,2]=>{{1},{2,4},{3,6},{5,7,8}}
[4,6,7,2,5,8,1,3]=>{{1,4},{2,6,8},{3,7},{5}}
[2,4,6,1,7,5,3,8]=>{{1,2,4},{3,6},{5,7},{8}}
[2,7,5,4,1,6,3,8]=>{{1,2,7},{3,5},{4},{6},{8}}
[1,7,5,4,3,8,6,2]=>{{1},{2,7},{3,5},{4},{6,8}}
[1,5,8,4,3,6,7,2]=>{{1},{2,5},{3,8},{4},{6},{7}}
[5,4,6,2,7,8,1,3]=>{{1,5,7},{2,4},{3,6,8}}
[2,5,4,1,6,7,3,8]=>{{1,2,5,6,7},{3,4},{8}}
[5,6,3,2,7,1,4,8]=>{{1,5,7},{2,6},{3},{4},{8}}
[5,6,3,2,7,1,8,4]=>{{1,5,7,8},{2,6},{3},{4}}
[8,5,6,3,2,7,1,4]=>{{1,8},{2,5},{3,6,7},{4}}
[5,4,6,2,8,1,7,3]=>{{1,5,8},{2,4},{3,6},{7}}
[2,4,1,7,8,5,3,6]=>{{1,2,4,7},{3},{5,8},{6}}
[5,6,3,2,1,8,4,7]=>{{1,5},{2,6,8},{3},{4},{7}}
[3,5,2,1,6,4,7,8]=>{{1,3},{2,5,6},{4},{7},{8}}
[6,8,4,3,2,1,5,7]=>{{1,6},{2,8},{3,4},{5},{7}}
[5,3,8,2,1,6,4,7]=>{{1,5},{2,3,8},{4},{6},{7}}
[7,3,2,8,5,1,6,4]=>{{1,7},{2,3},{4,8},{5},{6}}
[8,4,6,3,2,1,7,5]=>{{1,8},{2,4},{3,6},{5},{7}}
[5,4,7,2,1,8,6,3]=>{{1,5},{2,4},{3,7},{6,8}}
[5,7,3,2,1,6,8,4]=>{{1,5},{2,7,8},{3},{4},{6}}
[6,3,7,2,5,1,8,4]=>{{1,6},{2,3,7,8},{4},{5}}
[6,7,8,3,5,2,1,4]=>{{1,6},{2,7},{3,8},{4},{5}}
[6,2,5,7,8,4,1,3]=>{{1,6},{2},{3,5,8},{4,7}}
[2,1,5,7,8,6,3,4]=>{{1,2},{3,5,8},{4,7},{6}}
[3,6,7,2,8,1,4,5]=>{{1,3,7},{2,6},{4},{5,8}}
[3,2,6,1,7,4,5,8]=>{{1,3,6},{2},{4},{5,7},{8}}
[2,5,8,4,1,3,7,6]=>{{1,2,5},{3,8},{4},{6},{7}}
[2,4,1,7,8,3,6,5]=>{{1,2,4,7},{3},{5,8},{6}}
[3,6,8,2,1,7,4,5]=>{{1,3,8},{2,6,7},{4},{5}}
[5,3,8,2,1,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}
[4,8,7,3,2,1,5,6]=>{{1,4},{2,8},{3,7},{5},{6}}
[4,7,3,2,1,5,6,8]=>{{1,4},{2,7},{3},{5},{6},{8}}
[8,4,7,3,2,1,5,6]=>{{1,8},{2,4},{3,7},{5},{6}}
[8,3,5,2,1,4,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}
[3,5,2,1,4,6,8,7]=>{{1,3},{2,5},{4},{6},{7,8}}
[2,7,6,5,1,8,3,4]=>{{1,2,7},{3,6,8},{4,5}}
[2,7,6,5,1,8,4,3]=>{{1,2,7},{3,6,8},{4,5}}
[2,3,6,5,1,4,8,7]=>{{1,2,3,6},{4,5},{7,8}}
[2,3,6,4,1,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}
[2,7,6,1,4,8,5,3]=>{{1,2,7},{3,6,8},{4},{5}}
[7,3,5,1,8,4,2,6]=>{{1,7},{2,3,5,8},{4},{6}}
[2,7,6,1,5,8,4,3]=>{{1,2,7},{3,6,8},{4},{5}}
[2,7,6,4,1,8,5,3]=>{{1,2,7},{3,6,8},{4},{5}}
[2,7,6,4,1,8,3,5]=>{{1,2,7},{3,6,8},{4},{5}}
[7,3,5,1,8,6,2,4]=>{{1,7},{2,3,5,8},{4},{6}}
[2,3,4,8,7,6,1,5]=>{{1,2,3,4,8},{5,7},{6}}
[2,3,4,8,5,7,1,6]=>{{1,2,3,4,8},{5},{6,7}}
[7,3,5,4,8,1,2,6]=>{{1,7},{2,3,5,8},{4},{6}}
[6,4,3,5,8,7,2,1]=>{{1,6,7},{2,4,5,8},{3}}
[2,1,4,5,8,7,3,6]=>{{1,2},{3,4,5,8},{6,7}}
[6,4,3,5,8,7,1,2]=>{{1,6,7},{2,4,5,8},{3}}
[2,3,4,8,7,5,1,6]=>{{1,2,3,4,8},{5,7},{6}}
[2,7,6,5,4,8,1,3]=>{{1,2,7},{3,6,8},{4,5}}
[7,3,5,6,8,1,2,4]=>{{1,7},{2,3,5,8},{4,6}}
[6,4,1,5,8,7,2,3]=>{{1,6,7},{2,4,5,8},{3}}
[6,4,1,5,8,7,3,2]=>{{1,6,7},{2,4,5,8},{3}}
[6,4,1,5,8,3,7,2]=>{{1,6},{2,4,5,8},{3},{7}}
[5,7,1,6,3,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}
[6,4,1,5,8,3,2,7]=>{{1,6},{2,4,5,8},{3},{7}}
[6,3,5,7,8,2,1,4]=>{{1,6},{2,3,5,8},{4,7}}
[5,7,3,6,1,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}
[7,3,5,4,8,6,2,1]=>{{1,7},{2,3,5,8},{4},{6}}
[2,3,4,8,5,6,1,7]=>{{1,2,3,4,8},{5},{6},{7}}
[2,3,4,8,7,1,6,5]=>{{1,2,3,4,8},{5,7},{6}}
[2,3,4,8,5,1,7,6]=>{{1,2,3,4,8},{5},{6},{7}}
[7,4,3,5,8,2,1,6]=>{{1,7},{2,4,5,8},{3},{6}}
[7,4,3,5,8,2,6,1]=>{{1,7},{2,4,5,8},{3},{6}}
[6,3,5,4,8,2,1,7]=>{{1,6},{2,3,5,8},{4},{7}}
[2,3,4,8,5,1,6,7]=>{{1,2,3,4,8},{5},{6},{7}}
[6,1,4,2,8,5,7,3]=>{{1,6},{2},{3,4},{5,8},{7}}
[4,8,6,5,3,2,7,1]=>{{1,4,5},{2,8},{3,6},{7}}
[8,6,5,1,2,4,7,3]=>{{1,8},{2,6},{3,5},{4},{7}}
[1,7,5,8,2,6,4,3]=>{{1},{2,7},{3,5},{4,8},{6}}
[1,3,8,5,7,6,2,4]=>{{1},{2,3,8},{4,5,7},{6}}
[6,3,8,5,7,1,2,4]=>{{1,6},{2,3,8},{4,5,7}}
[6,8,5,2,1,4,7,3]=>{{1,6},{2,8},{3,5},{4},{7}}
[3,8,2,5,6,1,7,4]=>{{1,3},{2,8},{4,5,6},{7}}
[8,1,2,5,6,3,7,4]=>{{1,8},{2},{3},{4,5,6},{7}}
[8,6,1,5,7,2,3,4]=>{{1,8},{2,6},{3},{4,5,7}}
[3,8,6,5,7,1,2,4]=>{{1,3,6},{2,8},{4,5,7}}
[5,1,7,6,8,4,2,3]=>{{1,5,8},{2},{3,7},{4,6}}
[5,1,3,7,8,6,2,4]=>{{1,5,8},{2},{3},{4,7},{6}}
[7,2,5,8,1,6,4,3]=>{{1,7},{2},{3,5},{4,8},{6}}
[3,2,8,5,7,6,1,4]=>{{1,3,8},{2},{4,5,7},{6}}
[8,2,1,5,7,6,3,4]=>{{1,8},{2},{3},{4,5,7},{6}}
[5,2,8,6,1,7,3,4]=>{{1,5},{2},{3,8},{4,6,7}}
[1,2,8,6,5,7,3,4]=>{{1},{2},{3,8},{4,6,7},{5}}
[8,2,5,6,3,7,1,4]=>{{1,8},{2},{3,5},{4,6,7}}
[7,2,6,5,4,1,8,3]=>{{1,7,8},{2},{3,6},{4,5}}
[6,1,3,5,4,7,8,2]=>{{1,6,7,8},{2},{3},{4,5}}
[6,1,5,3,4,7,8,2]=>{{1,6,7,8},{2},{3,5},{4}}
[7,5,6,2,4,1,8,3]=>{{1,7,8},{2,5},{3,6},{4}}
[8,5,2,6,3,7,1,4]=>{{1,8},{2,5},{3},{4,6,7}}
[8,1,6,5,7,3,2,4]=>{{1,8},{2},{3,6},{4,5,7}}
[3,5,8,6,2,7,1,4]=>{{1,3,8},{2,5},{4,6,7}}
[1,8,5,6,3,7,2,4]=>{{1},{2,8},{3,5},{4,6,7}}
[1,7,6,5,4,2,8,3]=>{{1},{2,7,8},{3,6},{4,5}}
[5,7,6,1,4,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}
[7,1,4,2,6,5,8,3]=>{{1,7,8},{2},{3,4},{5,6}}
[2,7,4,1,5,6,8,3]=>{{1,2,7,8},{3,4},{5},{6}}
[5,7,6,4,1,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}
[4,7,6,1,5,2,8,3]=>{{1,4},{2,7,8},{3,6},{5}}
[1,7,6,4,5,2,8,3]=>{{1},{2,7,8},{3,6},{4},{5}}
[3,8,1,6,5,7,2,4]=>{{1,3},{2,8},{4,6,7},{5}}
[8,1,3,5,7,6,2,4]=>{{1,8},{2},{3},{4,5,7},{6}}
[7,8,5,4,1,6,2,3]=>{{1,7},{2,8},{3,5},{4},{6}}
[6,1,5,4,3,7,8,2]=>{{1,6,7,8},{2},{3,5},{4}}
[7,5,6,4,2,1,8,3]=>{{1,7,8},{2,5},{3,6},{4}}
[8,3,2,6,5,7,1,4]=>{{1,8},{2,3},{4,6,7},{5}}
[7,4,6,2,5,1,8,3]=>{{1,7,8},{2,4},{3,6},{5}}
[6,1,4,3,5,7,8,2]=>{{1,6,7,8},{2},{3,4},{5}}
[6,1,3,4,5,7,8,2]=>{{1,6,7,8},{2},{3},{4},{5}}
[7,2,6,4,5,1,8,3]=>{{1,7,8},{2},{3,6},{4},{5}}
[8,2,3,6,5,7,1,4]=>{{1,8},{2},{3},{4,6,7},{5}}
[3,8,2,7,6,1,5,4]=>{{1,3},{2,8},{4,7},{5,6}}
[4,8,7,2,6,5,3,1]=>{{1,4},{2,8},{3,7},{5,6}}
[4,8,7,3,1,6,5,2]=>{{1,4},{2,8},{3,7},{5},{6}}
[4,8,7,3,2,6,1,5]=>{{1,4},{2,8},{3,7},{5},{6}}
[4,8,7,3,2,6,5,1]=>{{1,4},{2,8},{3,7},{5},{6}}
[4,8,7,3,6,2,5,1]=>{{1,4},{2,8},{3,7},{5,6}}
[4,8,7,3,6,1,5,2]=>{{1,4},{2,8},{3,7},{5,6}}
[5,8,7,6,3,4,2,1]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,3,1,4,2]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,2,4,3,1]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,4,2,1,3]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,4,1,3,2]=>{{1,5},{2,8},{3,7},{4,6}}
[5,8,7,6,4,3,1,2]=>{{1,5},{2,8},{3,7},{4,6}}
[7,3,4,2,1,6,5,8]=>{{1,7},{2,3,4},{5},{6},{8}}
[7,3,5,2,6,1,4,8]=>{{1,7},{2,3,5,6},{4},{8}}
[7,3,5,2,6,4,1,8]=>{{1,7},{2,3,5,6},{4},{8}}
[7,2,1,5,6,4,3,8]=>{{1,7},{2},{3},{4,5,6},{8}}
[7,3,5,1,6,4,2,8]=>{{1,7},{2,3,5,6},{4},{8}}
[7,4,5,6,1,3,2,8]=>{{1,7},{2,4,6},{3,5},{8}}
[1,4,5,7,3,2,8,6]=>{{1},{2,4,7,8},{3,5},{6}}
[6,4,5,7,3,1,8,2]=>{{1,6},{2,4,7,8},{3,5}}
[6,3,5,1,7,4,8,2]=>{{1,6},{2,3,5,7,8},{4}}
[6,2,1,5,7,4,8,3]=>{{1,6},{2},{3},{4,5,7,8}}
[3,2,1,5,7,4,8,6]=>{{1,3},{2},{4,5,7,8},{6}}
[2,4,6,7,3,8,1,5]=>{{1,2,4,7},{3,6,8},{5}}
[1,4,6,7,3,8,5,2]=>{{1},{2,4,7},{3,6,8},{5}}
[2,5,6,7,8,3,1,4]=>{{1,2,5,8},{3,6},{4,7}}
[3,2,1,6,7,8,4,5]=>{{1,3},{2},{4,6,8},{5,7}}
[5,2,1,6,7,8,4,3]=>{{1,5,7},{2},{3},{4,6,8}}
[5,3,6,1,7,8,4,2]=>{{1,5,7},{2,3,6,8},{4}}
[5,4,6,7,1,8,3,2]=>{{1,5},{2,4,7},{3,6,8}}
[6,4,5,7,2,1,8,3]=>{{1,6},{2,4,7,8},{3,5}}
[5,4,6,7,2,8,3,1]=>{{1,5},{2,4,7},{3,6,8}}
[5,3,6,2,7,8,4,1]=>{{1,5,7},{2,3,6,8},{4}}
[5,3,6,2,7,8,1,4]=>{{1,5,7},{2,3,6,8},{4}}
[6,3,5,2,7,1,8,4]=>{{1,6},{2,3,5,7,8},{4}}
[5,3,4,1,2,7,8,6]=>{{1,5},{2,3,4},{6,7,8}}
[4,3,6,2,7,8,1,5]=>{{1,4},{2,3,6,8},{5,7}}
[4,3,6,2,7,8,5,1]=>{{1,4},{2,3,6,8},{5,7}}
[1,3,6,2,7,8,5,4]=>{{1},{2,3,6,8},{4},{5,7}}
[1,4,6,7,2,8,5,3]=>{{1},{2,4,7},{3,6,8},{5}}
[3,4,6,7,2,8,5,1]=>{{1,3,6,8},{2,4,7},{5}}
[3,4,5,7,2,1,8,6]=>{{1,3,5},{2,4,7,8},{6}}
[4,2,1,5,7,3,8,6]=>{{1,4,5,7,8},{2},{3},{6}}
[4,2,1,6,7,8,3,5]=>{{1,4,6,8},{2},{3},{5,7}}
[4,3,6,1,7,8,2,5]=>{{1,4},{2,3,6,8},{5,7}}
[1,5,6,7,8,2,4,3]=>{{1},{2,5,8},{3,6},{4,7}}
[1,5,6,7,8,4,2,3]=>{{1},{2,5,8},{3,6},{4,7}}
[4,3,6,1,7,8,5,2]=>{{1,4},{2,3,6,8},{5,7}}
[4,2,1,6,7,8,5,3]=>{{1,4,6,8},{2},{3},{5,7}}
[2,4,6,7,1,8,5,3]=>{{1,2,4,7},{3,6,8},{5}}
[2,5,6,7,8,1,4,3]=>{{1,2,5,8},{3,6},{4,7}}
[1,4,3,6,2,5,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}}
[1,4,3,7,2,5,6,8]=>{{1},{2,4,7},{3},{5},{6},{8}}
[1,4,3,7,6,8,2,5]=>{{1},{2,4,7},{3},{5,6,8}}
[1,4,3,7,5,8,2,6]=>{{1},{2,4,7},{3},{5},{6,8}}
[1,5,3,7,4,8,2,6]=>{{1},{2,5},{3},{4,7},{6,8}}
[1,5,4,8,2,6,3,7]=>{{1},{2,5},{3,4,8},{6},{7}}
[1,5,4,8,3,7,2,6]=>{{1},{2,5},{3,4,8},{6,7}}
[1,2,3,6,5,8,4,7]=>{{1},{2},{3},{4,6,8},{5},{7}}
[7,5,1,8,6,2,4,3]=>{{1,7},{2,5,6},{3},{4,8}}
[7,4,1,8,2,6,3,5]=>{{1,7},{2,4,8},{3},{5},{6}}
[7,1,8,4,2,6,3,5]=>{{1,7},{2},{3,8},{4},{5},{6}}
[7,3,1,8,4,2,6,5]=>{{1,7},{2,3},{4,8},{5},{6}}
[7,2,8,3,6,5,1,4]=>{{1,7},{2},{3,8},{4},{5,6}}
[7,2,8,3,6,1,5,4]=>{{1,7},{2},{3,8},{4},{5,6}}
[6,1,2,8,3,5,4,7]=>{{1,6},{2},{3},{4,8},{5},{7}}
[5,2,3,8,1,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}
[6,2,4,1,8,7,3,5]=>{{1,6,7},{2},{3,4},{5,8}}
[3,1,6,4,2,8,5,7]=>{{1,3,6,8},{2},{4},{5},{7}}
[2,6,3,8,7,1,5,4]=>{{1,2,6},{3},{4,8},{5,7}}
[2,6,3,8,5,1,4,7]=>{{1,2,6},{3},{4,8},{5},{7}}
[2,5,1,8,3,4,7,6]=>{{1,2,5},{3},{4,8},{6},{7}}
[1,2,5,3,8,4,7,6]=>{{1},{2},{3,5,8},{4},{6},{7}}
[1,2,4,8,3,7,6,5]=>{{1},{2},{3,4,8},{5},{6,7}}
[2,4,8,3,7,1,6,5]=>{{1,2,4},{3,8},{5,7},{6}}
[2,4,8,3,7,6,1,5]=>{{1,2,4},{3,8},{5,7},{6}}
[2,5,3,8,1,7,4,6]=>{{1,2,5},{3},{4,8},{6,7}}
[2,5,4,1,3,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}}
[3,1,5,4,8,2,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}
[5,3,1,4,8,2,7,6]=>{{1,5,8},{2,3},{4},{6},{7}}
[5,2,3,8,4,7,1,6]=>{{1,5},{2},{3},{4,8},{6,7}}
[4,8,2,3,7,6,1,5]=>{{1,4},{2,8},{3},{5,7},{6}}
[4,8,2,3,7,1,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}
[4,8,1,2,3,7,6,5]=>{{1,4},{2,8},{3},{5},{6,7}}
[1,4,8,3,7,2,6,5]=>{{1},{2,4},{3,8},{5,7},{6}}
[6,3,8,1,5,2,4,7]=>{{1,6},{2,3,8},{4},{5},{7}}
[5,3,8,1,2,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}
[5,1,3,8,2,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}
[1,5,3,8,2,4,7,6]=>{{1},{2,5},{3},{4,8},{6},{7}}
[1,5,4,8,2,7,6,3]=>{{1},{2,5},{3,4,8},{6,7}}
[5,1,4,8,2,7,6,3]=>{{1,5},{2},{3,4,8},{6,7}}
[5,4,8,1,2,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}
[6,5,1,2,8,7,4,3]=>{{1,6,7},{2,5,8},{3},{4}}
[4,1,5,8,2,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}
[4,1,2,5,8,7,6,3]=>{{1,4,5,8},{2},{3},{6,7}}
[1,4,2,5,8,7,6,3]=>{{1},{2,4,5,8},{3},{6,7}}
[1,3,5,2,8,7,4,6]=>{{1},{2,3,5,8},{4},{6,7}}
[3,5,1,2,8,7,4,6]=>{{1,3},{2,5,8},{4},{6,7}}
[4,2,6,1,8,7,3,5]=>{{1,4},{2},{3,6,7},{5,8}}
[4,3,1,5,8,2,7,6]=>{{1,4,5,8},{2,3},{6},{7}}
[3,5,2,8,7,1,4,6]=>{{1,3},{2,5,7},{4,8},{6}}
[3,4,8,7,2,6,1,5]=>{{1,3,8},{2,4,7},{5},{6}}
[3,4,8,1,7,2,6,5]=>{{1,3,8},{2,4},{5,7},{6}}
[1,3,4,8,7,2,6,5]=>{{1},{2,3,4,8},{5,7},{6}}
[1,3,4,8,2,7,6,5]=>{{1},{2,3,4,8},{5},{6,7}}
[3,4,8,1,2,7,6,5]=>{{1,3,8},{2,4},{5},{6,7}}
[3,4,8,2,7,1,6,5]=>{{1,3,8},{2,4},{5,7},{6}}
[3,4,8,2,7,6,1,5]=>{{1,3,8},{2,4},{5,7},{6}}
[4,2,5,8,1,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}
[4,3,1,2,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}
[3,1,4,2,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}}
[2,3,5,1,8,7,6,4]=>{{1,2,3,5,8},{4},{6,7}}
[7,8,2,1,5,3,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,4,1,2,7,3,5,8]=>{{1,6},{2,4},{3},{5,7},{8}}
[2,3,7,5,4,1,8,6]=>{{1,2,3,7,8},{4,5},{6}}
[6,3,1,5,4,2,7,8]=>{{1,6},{2,3},{4,5},{7},{8}}
[7,8,1,5,4,2,6,3]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,3,5,4,1,6,2]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,2,5,4,1,3,6]=>{{1,7},{2,8},{3},{4,5},{6}}
[7,8,2,5,4,6,1,3]=>{{1,7},{2,8},{3},{4,5},{6}}
[6,2,1,5,4,7,3,8]=>{{1,6,7},{2},{3},{4,5},{8}}
[5,3,6,2,4,7,1,8]=>{{1,5},{2,3,6,7},{4},{8}}
[6,4,2,1,7,3,8,5]=>{{1,6},{2,4},{3},{5,7,8}}
[2,7,6,5,3,1,4,8]=>{{1,2,7},{3,6},{4,5},{8}}
[3,7,6,4,8,5,1,2]=>{{1,3,6},{2,7},{4},{5,8}}
[5,7,6,3,8,4,1,2]=>{{1,5,8},{2,7},{3,6},{4}}
[5,1,6,2,4,8,3,7]=>{{1,5},{2},{3,6,8},{4},{7}}
[4,7,6,5,2,1,3,8]=>{{1,4,5},{2,7},{3,6},{8}}
[4,7,6,5,2,8,1,3]=>{{1,4,5},{2,7},{3,6,8}}
[4,7,6,5,1,8,3,2]=>{{1,4,5},{2,7},{3,6,8}}
[1,7,6,5,2,8,3,4]=>{{1},{2,7},{3,6,8},{4,5}}
[1,7,6,5,3,2,8,4]=>{{1},{2,7,8},{3,6},{4,5}}
[4,7,6,5,1,2,8,3]=>{{1,4,5},{2,7,8},{3,6}}
[4,7,6,5,3,1,8,2]=>{{1,4,5},{2,7,8},{3,6}}
[5,2,6,3,4,1,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}}
[5,1,6,2,4,7,8,3]=>{{1,5},{2},{3,6,7,8},{4}}
[1,7,2,4,8,3,6,5]=>{{1},{2,7},{3},{4},{5,8},{6}}
[4,7,2,1,5,3,6,8]=>{{1,4},{2,7},{3},{5},{6},{8}}
[4,7,1,6,2,3,8,5]=>{{1,4,6},{2,7,8},{3},{5}}
[1,7,2,6,8,3,5,4]=>{{1},{2,7},{3},{4,6},{5,8}}
[1,2,6,7,4,8,5,3]=>{{1},{2},{3,6,8},{4,7},{5}}
[3,1,6,7,4,2,8,5]=>{{1,3,6},{2},{4,7,8},{5}}
[3,2,8,5,4,6,1,7]=>{{1,3,8},{2},{4,5},{6},{7}}
[4,7,6,3,5,8,1,2]=>{{1,4},{2,7},{3,6,8},{5}}
[3,7,6,5,2,4,1,8]=>{{1,3,6},{2,7},{4,5},{8}}
[3,7,6,5,2,1,8,4]=>{{1,3,6},{2,7,8},{4,5}}
[1,7,6,5,8,2,4,3]=>{{1},{2,7},{3,6},{4,5,8}}
[3,7,6,5,8,1,4,2]=>{{1,3,6},{2,7},{4,5,8}}
[3,7,6,5,1,2,4,8]=>{{1,3,6},{2,7},{4,5},{8}}
[3,1,6,8,4,2,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}
[4,7,6,8,3,5,1,2]=>{{1,4,8},{2,7},{3,6},{5}}
[2,7,6,5,8,1,3,4]=>{{1,2,7},{3,6},{4,5,8}}
[2,7,6,5,8,4,1,3]=>{{1,2,7},{3,6},{4,5,8}}
[3,7,5,8,2,4,1,6]=>{{1,3,5},{2,7},{4,8},{6}}
[5,1,7,8,4,3,2,6]=>{{1,5},{2},{3,7},{4,8},{6}}
[5,1,2,6,4,3,8,7]=>{{1,5},{2},{3},{4,6},{7,8}}
[5,1,2,4,6,3,8,7]=>{{1,5,6},{2},{3},{4},{7,8}}
[4,1,5,7,8,3,2,6]=>{{1,4,7},{2},{3,5,8},{6}}
[4,7,1,8,3,6,2,5]=>{{1,4,8},{2,7},{3},{5},{6}}
[4,1,7,8,5,2,3,6]=>{{1,4,8},{2},{3,7},{5},{6}}
[5,1,7,4,8,2,3,6]=>{{1,5,8},{2},{3,7},{4},{6}}
[5,1,8,4,7,2,3,6]=>{{1,5,7},{2},{3,8},{4},{6}}
[4,1,8,7,5,2,3,6]=>{{1,4,7},{2},{3,8},{5},{6}}
[4,7,1,6,3,2,8,5]=>{{1,4,6},{2,7,8},{3},{5}}
[7,1,2,3,8,6,5,4]=>{{1,7},{2},{3},{4},{5,8},{6}}
[6,8,1,4,3,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}
[8,7,3,2,4,1,6,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[6,7,1,4,3,8,2,5]=>{{1,6,8},{2,7},{3},{4},{5}}
[8,1,2,3,5,7,6,4]=>{{1,8},{2},{3},{4},{5},{6,7}}
[7,1,2,3,6,8,5,4]=>{{1,7},{2},{3},{4},{5,6,8}}
[7,1,8,5,4,3,2,6]=>{{1,7},{2},{3,8},{4,5},{6}}
[7,8,2,6,3,4,1,5]=>{{1,7},{2,8},{3},{4,6},{5}}
[6,7,2,8,3,4,1,5]=>{{1,6},{2,7},{3},{4,8},{5}}
[3,8,7,1,4,2,6,5]=>{{1,3,7},{2,8},{4},{5},{6}}
[3,7,8,1,4,2,6,5]=>{{1,3,8},{2,7},{4},{5},{6}}
[3,6,8,1,4,2,7,5]=>{{1,3,8},{2,6},{4},{5},{7}}
[3,5,7,8,2,4,1,6]=>{{1,3,7},{2,5},{4,8},{6}}
[3,6,7,1,4,2,8,5]=>{{1,3,7,8},{2,6},{4},{5}}
[8,6,2,7,3,1,4,5]=>{{1,8},{2,6},{3},{4,7},{5}}
[8,1,7,5,4,3,2,6]=>{{1,8},{2},{3,7},{4,5},{6}}
[8,1,7,4,5,3,2,6]=>{{1,8},{2},{3,7},{4},{5},{6}}
[5,8,3,7,1,4,2,6]=>{{1,5},{2,8},{3},{4,7},{6}}
[2,1,7,3,4,6,8,5]=>{{1,2},{3,7,8},{4},{5},{6}}
[6,7,3,2,4,1,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}
[8,7,2,4,3,6,1,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[7,1,2,3,5,6,8,4]=>{{1,7,8},{2},{3},{4},{5},{6}}
[6,1,2,3,8,7,4,5]=>{{1,6,7},{2},{3},{4},{5,8}}
[5,1,2,3,7,8,6,4]=>{{1,5,7},{2},{3},{4},{6,8}}
[8,6,2,4,3,1,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}
[7,6,3,2,4,8,1,5]=>{{1,7},{2,6,8},{3},{4},{5}}
[8,6,3,2,4,7,1,5]=>{{1,8},{2,6,7},{3},{4},{5}}
[7,6,2,4,3,1,8,5]=>{{1,7,8},{2,6},{3},{4},{5}}
[7,8,1,2,6,3,5,4]=>{{1,7},{2,8},{3},{4},{5,6}}
[1,4,8,2,7,3,5,6]=>{{1},{2,4},{3,8},{5,7},{6}}
[1,2,8,5,4,7,3,6]=>{{1},{2},{3,8},{4,5},{6,7}}
[2,3,6,8,4,7,1,5]=>{{1,2,3,6,7},{4,8},{5}}
[1,3,6,8,4,7,5,2]=>{{1},{2,3,6,7},{4,8},{5}}
[2,4,8,1,7,3,6,5]=>{{1,2,4},{3,8},{5,7},{6}}
[3,4,8,5,7,6,1,2]=>{{1,3,8},{2,4,5,7},{6}}
[1,2,6,8,4,5,7,3]=>{{1},{2},{3,6},{4,8},{5},{7}}
[7,5,1,2,4,3,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}
[7,4,6,1,5,2,3,8]=>{{1,7},{2,4},{3,6},{5},{8}}
[6,8,1,4,7,2,3,5]=>{{1,6},{2,8},{3},{4},{5,7}}
[1,6,4,2,8,3,5,7]=>{{1},{2,6},{3,4},{5,8},{7}}
[1,6,3,8,5,4,2,7]=>{{1},{2,6},{3},{4,8},{5},{7}}
[7,1,3,6,5,4,2,8]=>{{1,7},{2},{3},{4,6},{5},{8}}
[7,2,1,4,6,3,5,8]=>{{1,7},{2},{3},{4},{5,6},{8}}
[7,2,3,6,5,1,4,8]=>{{1,7},{2},{3},{4,6},{5},{8}}
[7,1,2,3,6,5,4,8]=>{{1,7},{2},{3},{4},{5,6},{8}}
[6,8,1,2,7,3,5,4]=>{{1,6},{2,8},{3},{4},{5,7}}
[1,6,2,3,8,5,4,7]=>{{1},{2,6},{3},{4},{5,8},{7}}
[1,5,8,2,7,6,3,4]=>{{1},{2,5,7},{3,8},{4},{6}}
[5,8,2,7,6,3,4,1]=>{{1,5,6},{2,8},{3},{4,7}}
[6,2,8,1,7,3,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}
[3,6,4,1,2,8,5,7]=>{{1,3,4},{2,6,8},{5},{7}}
[2,5,1,8,7,6,3,4]=>{{1,2,5,7},{3},{4,8},{6}}
[1,2,5,3,8,7,4,6]=>{{1},{2},{3,5,8},{4},{6,7}}
[2,5,3,8,7,1,6,4]=>{{1,2,5,7},{3},{4,8},{6}}
[2,5,8,4,1,7,6,3]=>{{1,2,5},{3,8},{4},{6,7}}
[3,5,8,7,1,4,2,6]=>{{1,3,8},{2,5},{4,7},{6}}
[5,3,8,4,1,7,6,2]=>{{1,5},{2,3,8},{4},{6,7}}
[4,2,8,7,6,3,5,1]=>{{1,4,7},{2},{3,8},{5,6}}
[6,3,1,8,7,2,5,4]=>{{1,6},{2,3},{4,8},{5,7}}
[5,1,3,8,7,6,2,4]=>{{1,5,7},{2},{3},{4,8},{6}}
[1,5,3,8,7,6,2,4]=>{{1},{2,5,7},{3},{4,8},{6}}
[5,1,8,4,7,2,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}
[5,8,7,4,6,1,2,3]=>{{1,5,6},{2,8},{3,7},{4}}
[6,8,5,1,2,4,7,3]=>{{1,6},{2,8},{3,5},{4},{7}}
[4,5,8,1,7,2,6,3]=>{{1,4},{2,5,7},{3,8},{6}}
[1,3,2,5,8,7,4,6]=>{{1},{2,3},{4,5,8},{6,7}}
[3,5,1,8,7,4,6,2]=>{{1,3},{2,5,7},{4,8},{6}}
[4,3,6,1,2,8,5,7]=>{{1,4},{2,3,6,8},{5},{7}}
[4,5,8,3,1,7,2,6]=>{{1,4},{2,5},{3,8},{6,7}}
[4,5,2,8,7,1,3,6]=>{{1,4,8},{2,5,7},{3},{6}}
[3,2,5,8,7,1,6,4]=>{{1,3,5,7},{2},{4,8},{6}}
[3,4,8,7,6,2,1,5]=>{{1,3,8},{2,4,7},{5,6}}
[3,4,8,7,6,5,1,2]=>{{1,3,8},{2,4,7},{5,6}}
[1,3,4,8,7,6,2,5]=>{{1},{2,3,4,8},{5,7},{6}}
[3,4,8,7,6,2,5,1]=>{{1,3,8},{2,4,7},{5,6}}
[3,2,5,8,7,4,6,1]=>{{1,3,5,7},{2},{4,8},{6}}
[2,1,3,5,8,7,4,6]=>{{1,2},{3},{4,5,8},{6,7}}
[1,2,7,5,8,6,4,3]=>{{1},{2},{3,7},{4,5,8},{6}}
[6,8,1,3,7,5,2,4]=>{{1,6},{2,8},{3},{4},{5,7}}
[1,3,7,8,2,6,5,4]=>{{1},{2,3,7},{4,8},{5},{6}}
[2,7,8,1,3,6,5,4]=>{{1,2,7},{3,8},{4},{5},{6}}
[8,1,2,6,7,3,5,4]=>{{1,8},{2},{3},{4,6},{5,7}}
[8,1,2,6,7,5,3,4]=>{{1,8},{2},{3},{4,6},{5,7}}
[8,2,5,7,1,3,6,4]=>{{1,8},{2},{3,5},{4,7},{6}}
[2,8,1,6,7,3,5,4]=>{{1,2,8},{3},{4,6},{5,7}}
[2,6,8,3,7,1,5,4]=>{{1,2,6},{3,8},{4},{5,7}}
[2,8,6,4,7,1,5,3]=>{{1,2,8},{3,6},{4},{5,7}}
[6,8,3,4,1,7,5,2]=>{{1,6,7},{2,8},{3},{4},{5}}
[6,8,3,7,4,1,5,2]=>{{1,6},{2,8},{3},{4,7},{5}}
[8,2,5,7,1,6,3,4]=>{{1,8},{2},{3,5},{4,7},{6}}
[8,4,7,2,3,6,1,5]=>{{1,8},{2,4},{3,7},{5},{6}}
[8,5,7,4,2,6,1,3]=>{{1,8},{2,5},{3,7},{4},{6}}
[8,3,5,7,4,1,6,2]=>{{1,8},{2,3,5},{4,7},{6}}
[8,5,2,4,7,1,6,3]=>{{1,8},{2,5,7},{3},{4},{6}}
[8,2,4,7,3,6,1,5]=>{{1,8},{2},{3,4,7},{5},{6}}
[8,2,7,1,4,6,3,5]=>{{1,8},{2},{3,7},{4},{5},{6}}
[8,7,1,2,4,6,3,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,1,4,6,2,3,5]=>{{1,8},{2,7},{3},{4},{5,6}}
[8,4,7,1,3,6,2,5]=>{{1,8},{2,4},{3,7},{5},{6}}
[8,3,5,7,1,2,6,4]=>{{1,8},{2,3,5},{4,7},{6}}
[5,8,7,1,3,6,2,4]=>{{1,5},{2,8},{3,7},{4},{6}}
[8,5,4,7,1,6,2,3]=>{{1,8},{2,5},{3,4,7},{6}}
[8,5,4,7,1,2,6,3]=>{{1,8},{2,5},{3,4,7},{6}}
[8,5,1,4,7,2,6,3]=>{{1,8},{2,5,7},{3},{4},{6}}
[8,5,6,3,1,7,4,2]=>{{1,8},{2,5},{3,6,7},{4}}
[1,8,4,5,7,2,6,3]=>{{1},{2,8},{3,4,5,7},{6}}
[5,8,7,3,6,1,2,4]=>{{1,5,6},{2,8},{3,7},{4}}
[8,3,5,7,1,6,2,4]=>{{1,8},{2,3,5},{4,7},{6}}
[1,6,8,3,7,5,2,4]=>{{1},{2,6},{3,8},{4},{5,7}}
[6,3,8,2,7,5,1,4]=>{{1,6},{2,3,8},{4},{5,7}}
[8,6,4,7,3,1,5,2]=>{{1,8},{2,6},{3,4,7},{5}}
[8,4,5,7,3,1,6,2]=>{{1,8},{2,4,7},{3,5},{6}}
[8,3,4,7,2,6,1,5]=>{{1,8},{2,3,4,7},{5},{6}}
[8,7,1,3,4,6,2,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,3,7,2,4,6,1,5]=>{{1,8},{2,3,7},{4},{5},{6}}
[2,8,4,5,7,1,6,3]=>{{1,2,8},{3,4,5,7},{6}}
[8,7,3,4,5,1,6,2]=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,4,5,2,6,1,3]=>{{1,8},{2,7},{3,4,5},{6}}
[8,7,2,3,4,6,1,5]=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}
[6,7,8,9,10,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}
[5,7,8,9,4,10,6,3,2,1]=>{{1,5},{2,7},{3,8},{4,9},{6,10}}
[4,6,8,3,9,5,10,7,2,1]=>{{1,4},{2,6},{3,8},{5,9},{7,10}}
[3,5,2,7,4,9,6,10,8,1]=>{{1,3},{2,5},{4,7},{6,9},{8,10}}
[2,1,7,8,9,10,6,5,4,3]=>{{1,2},{3,7},{4,8},{5,9},{6,10}}
[3,4,2,1,6,5,8,7,10,9]=>{{1,3},{2,4},{5,6},{7,8},{9,10}}
[3,5,2,6,4,1,8,7,10,9]=>{{1,3},{2,5},{4,6},{7,8},{9,10}}
[3,5,2,7,4,8,6,1,10,9]=>{{1,3},{2,5},{4,7},{6,8},{9,10}}
[2,1,5,6,4,3,8,7,10,9]=>{{1,2},{3,5},{4,6},{7,8},{9,10}}
[4,5,6,3,2,1,8,7,10,9]=>{{1,4},{2,5},{3,6},{7,8},{9,10}}
[4,5,7,3,2,8,6,1,10,9]=>{{1,4},{2,5},{3,7},{6,8},{9,10}}
[4,5,7,3,2,9,6,10,8,1]=>{{1,4},{2,5},{3,7},{6,9},{8,10}}
[2,1,5,7,4,8,6,3,10,9]=>{{1,2},{3,5},{4,7},{6,8},{9,10}}
[4,6,7,3,8,5,2,1,10,9]=>{{1,4},{2,6},{3,7},{5,8},{9,10}}
[4,6,7,3,9,5,2,10,8,1]=>{{1,4},{2,6},{3,7},{5,9},{8,10}}
[2,1,5,7,4,9,6,10,8,3]=>{{1,2},{3,5},{4,7},{6,9},{8,10}}
[2,1,4,3,7,8,6,5,10,9]=>{{1,2},{3,4},{5,7},{6,8},{9,10}}
[3,4,2,1,7,8,6,5,10,9]=>{{1,3},{2,4},{5,7},{6,8},{9,10}}
[3,6,2,7,8,5,4,1,10,9]=>{{1,3},{2,6},{4,7},{5,8},{9,10}}
[3,6,2,7,9,5,4,10,8,1]=>{{1,3},{2,6},{4,7},{5,9},{8,10}}
[2,1,6,7,8,5,4,3,10,9]=>{{1,2},{3,6},{4,7},{5,8},{9,10}}
[5,6,7,8,4,3,2,1,10,9]=>{{1,5},{2,6},{3,7},{4,8},{9,10}}
[5,6,7,9,4,3,2,10,8,1]=>{{1,5},{2,6},{3,7},{4,9},{8,10}}
[2,1,6,7,9,5,4,10,8,3]=>{{1,2},{3,6},{4,7},{5,9},{8,10}}
[5,6,8,9,4,3,10,7,2,1]=>{{1,5},{2,6},{3,8},{4,9},{7,10}}
[2,1,4,3,7,9,6,10,8,5]=>{{1,2},{3,4},{5,7},{6,9},{8,10}}
[3,4,2,1,7,9,6,10,8,5]=>{{1,3},{2,4},{5,7},{6,9},{8,10}}
[3,6,2,8,9,5,10,7,4,1]=>{{1,3},{2,6},{4,8},{5,9},{7,10}}
[2,1,6,8,9,5,10,7,4,3]=>{{1,2},{3,6},{4,8},{5,9},{7,10}}
[2,1,4,3,6,5,9,10,8,7]=>{{1,2},{3,4},{5,6},{7,9},{8,10}}
[3,4,2,1,6,5,9,10,8,7]=>{{1,3},{2,4},{5,6},{7,9},{8,10}}
[3,5,2,6,4,1,9,10,8,7]=>{{1,3},{2,5},{4,6},{7,9},{8,10}}
[3,5,2,8,4,9,10,7,6,1]=>{{1,3},{2,5},{4,8},{6,9},{7,10}}
[2,1,5,6,4,3,9,10,8,7]=>{{1,2},{3,5},{4,6},{7,9},{8,10}}
[4,5,6,3,2,1,9,10,8,7]=>{{1,4},{2,5},{3,6},{7,9},{8,10}}
[4,5,8,3,2,9,10,7,6,1]=>{{1,4},{2,5},{3,8},{6,9},{7,10}}
[2,1,5,8,4,9,10,7,6,3]=>{{1,2},{3,5},{4,8},{6,9},{7,10}}
[4,7,8,3,9,10,6,5,2,1]=>{{1,4},{2,7},{3,8},{5,9},{6,10}}
[2,1,4,3,8,9,10,7,6,5]=>{{1,2},{3,4},{5,8},{6,9},{7,10}}
[3,4,2,1,8,9,10,7,6,5]=>{{1,3},{2,4},{5,8},{6,9},{7,10}}
[3,7,2,8,9,10,6,5,4,1]=>{{1,3},{2,7},{4,8},{5,9},{6,10}}
[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[2,1,4,3,6,5,8,7,11,12,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,11},{10,12}}
[2,1,4,3,6,5,9,10,8,7,12,11]=>{{1,2},{3,4},{5,6},{7,9},{8,10},{11,12}}
[2,1,4,3,6,5,9,11,8,12,10,7]=>{{1,2},{3,4},{5,6},{7,9},{8,11},{10,12}}
[2,1,4,3,6,5,10,11,12,9,8,7]=>{{1,2},{3,4},{5,6},{7,10},{8,11},{9,12}}
[2,1,4,3,7,8,6,5,10,9,12,11]=>{{1,2},{3,4},{5,7},{6,8},{9,10},{11,12}}
[2,1,4,3,7,8,6,5,11,12,10,9]=>{{1,2},{3,4},{5,7},{6,8},{9,11},{10,12}}
[2,1,4,3,7,9,6,10,8,5,12,11]=>{{1,2},{3,4},{5,7},{6,9},{8,10},{11,12}}
[2,1,4,3,7,9,6,11,8,12,10,5]=>{{1,2},{3,4},{5,7},{6,9},{8,11},{10,12}}
[2,1,4,3,7,10,6,11,12,9,8,5]=>{{1,2},{3,4},{5,7},{6,10},{8,11},{9,12}}
[2,1,4,3,8,9,10,7,6,5,12,11]=>{{1,2},{3,4},{5,8},{6,9},{7,10},{11,12}}
[2,1,4,3,8,9,11,7,6,12,10,5]=>{{1,2},{3,4},{5,8},{6,9},{7,11},{10,12}}
[2,1,4,3,8,10,11,7,12,9,6,5]=>{{1,2},{3,4},{5,8},{6,10},{7,11},{9,12}}
[2,1,4,3,9,10,11,12,8,7,6,5]=>{{1,2},{3,4},{5,9},{6,10},{7,11},{8,12}}
[2,1,5,6,4,3,8,7,10,9,12,11]=>{{1,2},{3,5},{4,6},{7,8},{9,10},{11,12}}
[2,1,5,6,4,3,8,7,11,12,10,9]=>{{1,2},{3,5},{4,6},{7,8},{9,11},{10,12}}
[2,1,5,6,4,3,9,10,8,7,12,11]=>{{1,2},{3,5},{4,6},{7,9},{8,10},{11,12}}
[2,1,5,6,4,3,9,11,8,12,10,7]=>{{1,2},{3,5},{4,6},{7,9},{8,11},{10,12}}
[2,1,5,6,4,3,10,11,12,9,8,7]=>{{1,2},{3,5},{4,6},{7,10},{8,11},{9,12}}
[2,1,5,7,4,8,6,3,10,9,12,11]=>{{1,2},{3,5},{4,7},{6,8},{9,10},{11,12}}
[2,1,5,7,4,8,6,3,11,12,10,9]=>{{1,2},{3,5},{4,7},{6,8},{9,11},{10,12}}
[2,1,5,7,4,9,6,10,8,3,12,11]=>{{1,2},{3,5},{4,7},{6,9},{8,10},{11,12}}
[2,1,5,7,4,9,6,11,8,12,10,3]=>{{1,2},{3,5},{4,7},{6,9},{8,11},{10,12}}
[2,1,5,7,4,10,6,11,12,9,8,3]=>{{1,2},{3,5},{4,7},{6,10},{8,11},{9,12}}
[2,1,5,8,4,9,10,7,6,3,12,11]=>{{1,2},{3,5},{4,8},{6,9},{7,10},{11,12}}
[2,1,5,8,4,9,11,7,6,12,10,3]=>{{1,2},{3,5},{4,8},{6,9},{7,11},{10,12}}
[2,1,5,8,4,10,11,7,12,9,6,3]=>{{1,2},{3,5},{4,8},{6,10},{7,11},{9,12}}
[2,1,5,9,4,10,11,12,8,7,6,3]=>{{1,2},{3,5},{4,9},{6,10},{7,11},{8,12}}
[2,1,6,7,8,5,4,3,10,9,12,11]=>{{1,2},{3,6},{4,7},{5,8},{9,10},{11,12}}
[2,1,6,7,8,5,4,3,11,12,10,9]=>{{1,2},{3,6},{4,7},{5,8},{9,11},{10,12}}
[2,1,6,7,9,5,4,10,8,3,12,11]=>{{1,2},{3,6},{4,7},{5,9},{8,10},{11,12}}
[2,1,6,7,9,5,4,11,8,12,10,3]=>{{1,2},{3,6},{4,7},{5,9},{8,11},{10,12}}
[2,1,6,7,10,5,4,11,12,9,8,3]=>{{1,2},{3,6},{4,7},{5,10},{8,11},{9,12}}
[2,1,6,8,9,5,10,7,4,3,12,11]=>{{1,2},{3,6},{4,8},{5,9},{7,10},{11,12}}
[2,1,6,8,9,5,11,7,4,12,10,3]=>{{1,2},{3,6},{4,8},{5,9},{7,11},{10,12}}
[2,1,6,8,10,5,11,7,12,9,4,3]=>{{1,2},{3,6},{4,8},{5,10},{7,11},{9,12}}
[2,1,6,9,10,5,11,12,8,7,4,3]=>{{1,2},{3,6},{4,9},{5,10},{7,11},{8,12}}
[2,1,7,8,9,10,6,5,4,3,12,11]=>{{1,2},{3,7},{4,8},{5,9},{6,10},{11,12}}
[2,1,7,8,9,11,6,5,4,12,10,3]=>{{1,2},{3,7},{4,8},{5,9},{6,11},{10,12}}
[2,1,7,8,10,11,6,5,12,9,4,3]=>{{1,2},{3,7},{4,8},{5,10},{6,11},{9,12}}
[2,1,7,9,10,11,6,12,8,5,4,3]=>{{1,2},{3,7},{4,9},{5,10},{6,11},{8,12}}
[2,1,8,9,10,11,12,7,6,5,4,3]=>{{1,2},{3,8},{4,9},{5,10},{6,11},{7,12}}
[3,4,2,1,6,5,8,7,10,9,12,11]=>{{1,3},{2,4},{5,6},{7,8},{9,10},{11,12}}
[3,4,2,1,6,5,8,7,11,12,10,9]=>{{1,3},{2,4},{5,6},{7,8},{9,11},{10,12}}
[3,4,2,1,6,5,9,10,8,7,12,11]=>{{1,3},{2,4},{5,6},{7,9},{8,10},{11,12}}
[3,4,2,1,6,5,9,11,8,12,10,7]=>{{1,3},{2,4},{5,6},{7,9},{8,11},{10,12}}
[3,4,2,1,6,5,10,11,12,9,8,7]=>{{1,3},{2,4},{5,6},{7,10},{8,11},{9,12}}
[3,4,2,1,7,8,6,5,10,9,12,11]=>{{1,3},{2,4},{5,7},{6,8},{9,10},{11,12}}
[3,4,2,1,7,8,6,5,11,12,10,9]=>{{1,3},{2,4},{5,7},{6,8},{9,11},{10,12}}
[3,4,2,1,7,9,6,10,8,5,12,11]=>{{1,3},{2,4},{5,7},{6,9},{8,10},{11,12}}
[3,4,2,1,7,9,6,11,8,12,10,5]=>{{1,3},{2,4},{5,7},{6,9},{8,11},{10,12}}
[3,4,2,1,7,10,6,11,12,9,8,5]=>{{1,3},{2,4},{5,7},{6,10},{8,11},{9,12}}
[3,4,2,1,8,9,10,7,6,5,12,11]=>{{1,3},{2,4},{5,8},{6,9},{7,10},{11,12}}
[3,4,2,1,8,9,11,7,6,12,10,5]=>{{1,3},{2,4},{5,8},{6,9},{7,11},{10,12}}
[3,4,2,1,8,10,11,7,12,9,6,5]=>{{1,3},{2,4},{5,8},{6,10},{7,11},{9,12}}
[3,4,2,1,9,10,11,12,8,7,6,5]=>{{1,3},{2,4},{5,9},{6,10},{7,11},{8,12}}
[3,5,2,6,4,1,8,7,10,9,12,11]=>{{1,3},{2,5},{4,6},{7,8},{9,10},{11,12}}
[3,5,2,6,4,1,8,7,11,12,10,9]=>{{1,3},{2,5},{4,6},{7,8},{9,11},{10,12}}
[3,5,2,6,4,1,9,10,8,7,12,11]=>{{1,3},{2,5},{4,6},{7,9},{8,10},{11,12}}
[3,5,2,6,4,1,9,11,8,12,10,7]=>{{1,3},{2,5},{4,6},{7,9},{8,11},{10,12}}
[3,5,2,6,4,1,10,11,12,9,8,7]=>{{1,3},{2,5},{4,6},{7,10},{8,11},{9,12}}
[3,5,2,7,4,8,6,1,10,9,12,11]=>{{1,3},{2,5},{4,7},{6,8},{9,10},{11,12}}
[3,5,2,7,4,8,6,1,11,12,10,9]=>{{1,3},{2,5},{4,7},{6,8},{9,11},{10,12}}
[3,5,2,7,4,9,6,10,8,1,12,11]=>{{1,3},{2,5},{4,7},{6,9},{8,10},{11,12}}
[3,5,2,7,4,9,6,11,8,12,10,1]=>{{1,3},{2,5},{4,7},{6,9},{8,11},{10,12}}
[3,5,2,7,4,10,6,11,12,9,8,1]=>{{1,3},{2,5},{4,7},{6,10},{8,11},{9,12}}
[3,5,2,8,4,9,10,7,6,1,12,11]=>{{1,3},{2,5},{4,8},{6,9},{7,10},{11,12}}
[3,5,2,8,4,9,11,7,6,12,10,1]=>{{1,3},{2,5},{4,8},{6,9},{7,11},{10,12}}
[3,5,2,8,4,10,11,7,12,9,6,1]=>{{1,3},{2,5},{4,8},{6,10},{7,11},{9,12}}
[3,5,2,9,4,10,11,12,8,7,6,1]=>{{1,3},{2,5},{4,9},{6,10},{7,11},{8,12}}
[3,6,2,7,8,5,4,1,10,9,12,11]=>{{1,3},{2,6},{4,7},{5,8},{9,10},{11,12}}
[3,6,2,7,8,5,4,1,11,12,10,9]=>{{1,3},{2,6},{4,7},{5,8},{9,11},{10,12}}
[3,6,2,7,9,5,4,10,8,1,12,11]=>{{1,3},{2,6},{4,7},{5,9},{8,10},{11,12}}
[3,6,2,7,9,5,4,11,8,12,10,1]=>{{1,3},{2,6},{4,7},{5,9},{8,11},{10,12}}
[3,6,2,7,10,5,4,11,12,9,8,1]=>{{1,3},{2,6},{4,7},{5,10},{8,11},{9,12}}
[3,6,2,8,9,5,10,7,4,1,12,11]=>{{1,3},{2,6},{4,8},{5,9},{7,10},{11,12}}
[3,6,2,8,9,5,11,7,4,12,10,1]=>{{1,3},{2,6},{4,8},{5,9},{7,11},{10,12}}
[3,6,2,8,10,5,11,7,12,9,4,1]=>{{1,3},{2,6},{4,8},{5,10},{7,11},{9,12}}
[3,6,2,9,10,5,11,12,8,7,4,1]=>{{1,3},{2,6},{4,9},{5,10},{7,11},{8,12}}
[3,7,2,8,9,10,6,5,4,1,12,11]=>{{1,3},{2,7},{4,8},{5,9},{6,10},{11,12}}
[3,7,2,8,9,11,6,5,4,12,10,1]=>{{1,3},{2,7},{4,8},{5,9},{6,11},{10,12}}
[3,7,2,8,10,11,6,5,12,9,4,1]=>{{1,3},{2,7},{4,8},{5,10},{6,11},{9,12}}
[3,7,2,9,10,11,6,12,8,5,4,1]=>{{1,3},{2,7},{4,9},{5,10},{6,11},{8,12}}
[3,8,2,9,10,11,12,7,6,5,4,1]=>{{1,3},{2,8},{4,9},{5,10},{6,11},{7,12}}
[4,5,6,3,2,1,8,7,10,9,12,11]=>{{1,4},{2,5},{3,6},{7,8},{9,10},{11,12}}
[4,5,6,3,2,1,8,7,11,12,10,9]=>{{1,4},{2,5},{3,6},{7,8},{9,11},{10,12}}
[4,5,6,3,2,1,9,10,8,7,12,11]=>{{1,4},{2,5},{3,6},{7,9},{8,10},{11,12}}
[4,5,6,3,2,1,9,11,8,12,10,7]=>{{1,4},{2,5},{3,6},{7,9},{8,11},{10,12}}
[4,5,6,3,2,1,10,11,12,9,8,7]=>{{1,4},{2,5},{3,6},{7,10},{8,11},{9,12}}
[4,5,7,3,2,8,6,1,10,9,12,11]=>{{1,4},{2,5},{3,7},{6,8},{9,10},{11,12}}
[4,5,7,3,2,8,6,1,11,12,10,9]=>{{1,4},{2,5},{3,7},{6,8},{9,11},{10,12}}
[4,5,7,3,2,9,6,10,8,1,12,11]=>{{1,4},{2,5},{3,7},{6,9},{8,10},{11,12}}
[4,5,7,3,2,9,6,11,8,12,10,1]=>{{1,4},{2,5},{3,7},{6,9},{8,11},{10,12}}
[4,5,7,3,2,10,6,11,12,9,8,1]=>{{1,4},{2,5},{3,7},{6,10},{8,11},{9,12}}
[4,5,8,3,2,9,10,7,6,1,12,11]=>{{1,4},{2,5},{3,8},{6,9},{7,10},{11,12}}
[4,5,8,3,2,9,11,7,6,12,10,1]=>{{1,4},{2,5},{3,8},{6,9},{7,11},{10,12}}
[4,5,8,3,2,10,11,7,12,9,6,1]=>{{1,4},{2,5},{3,8},{6,10},{7,11},{9,12}}
[4,5,9,3,2,10,11,12,8,7,6,1]=>{{1,4},{2,5},{3,9},{6,10},{7,11},{8,12}}
[4,6,7,3,8,5,2,1,10,9,12,11]=>{{1,4},{2,6},{3,7},{5,8},{9,10},{11,12}}
[4,6,7,3,8,5,2,1,11,12,10,9]=>{{1,4},{2,6},{3,7},{5,8},{9,11},{10,12}}
[4,6,7,3,9,5,2,10,8,1,12,11]=>{{1,4},{2,6},{3,7},{5,9},{8,10},{11,12}}
[4,6,7,3,9,5,2,11,8,12,10,1]=>{{1,4},{2,6},{3,7},{5,9},{8,11},{10,12}}
[4,6,7,3,10,5,2,11,12,9,8,1]=>{{1,4},{2,6},{3,7},{5,10},{8,11},{9,12}}
[4,6,8,3,9,5,10,7,2,1,12,11]=>{{1,4},{2,6},{3,8},{5,9},{7,10},{11,12}}
[4,6,8,3,9,5,11,7,2,12,10,1]=>{{1,4},{2,6},{3,8},{5,9},{7,11},{10,12}}
[4,6,8,3,10,5,11,7,12,9,2,1]=>{{1,4},{2,6},{3,8},{5,10},{7,11},{9,12}}
[4,6,9,3,10,5,11,12,8,7,2,1]=>{{1,4},{2,6},{3,9},{5,10},{7,11},{8,12}}
[4,7,8,3,9,10,6,5,2,1,12,11]=>{{1,4},{2,7},{3,8},{5,9},{6,10},{11,12}}
[4,7,8,3,9,11,6,5,2,12,10,1]=>{{1,4},{2,7},{3,8},{5,9},{6,11},{10,12}}
[4,7,8,3,10,11,6,5,12,9,2,1]=>{{1,4},{2,7},{3,8},{5,10},{6,11},{9,12}}
[4,7,9,3,10,11,6,12,8,5,2,1]=>{{1,4},{2,7},{3,9},{5,10},{6,11},{8,12}}
[4,8,9,3,10,11,12,7,6,5,2,1]=>{{1,4},{2,8},{3,9},{5,10},{6,11},{7,12}}
[5,6,7,8,4,3,2,1,10,9,12,11]=>{{1,5},{2,6},{3,7},{4,8},{9,10},{11,12}}
[5,6,7,8,4,3,2,1,11,12,10,9]=>{{1,5},{2,6},{3,7},{4,8},{9,11},{10,12}}
[5,6,7,9,4,3,2,10,8,1,12,11]=>{{1,5},{2,6},{3,7},{4,9},{8,10},{11,12}}
[5,6,7,9,4,3,2,11,8,12,10,1]=>{{1,5},{2,6},{3,7},{4,9},{8,11},{10,12}}
[5,6,7,10,4,3,2,11,12,9,8,1]=>{{1,5},{2,6},{3,7},{4,10},{8,11},{9,12}}
[5,6,8,9,4,3,10,7,2,1,12,11]=>{{1,5},{2,6},{3,8},{4,9},{7,10},{11,12}}
[5,6,8,9,4,3,11,7,2,12,10,1]=>{{1,5},{2,6},{3,8},{4,9},{7,11},{10,12}}
[5,6,8,10,4,3,11,7,12,9,2,1]=>{{1,5},{2,6},{3,8},{4,10},{7,11},{9,12}}
[5,6,9,10,4,3,11,12,8,7,2,1]=>{{1,5},{2,6},{3,9},{4,10},{7,11},{8,12}}
[5,7,8,9,4,10,6,3,2,1,12,11]=>{{1,5},{2,7},{3,8},{4,9},{6,10},{11,12}}
[5,7,8,9,4,11,6,3,2,12,10,1]=>{{1,5},{2,7},{3,8},{4,9},{6,11},{10,12}}
[5,7,8,10,4,11,6,3,12,9,2,1]=>{{1,5},{2,7},{3,8},{4,10},{6,11},{9,12}}
[5,7,9,10,4,11,6,12,8,3,2,1]=>{{1,5},{2,7},{3,9},{4,10},{6,11},{8,12}}
[5,8,9,10,4,11,12,7,6,3,2,1]=>{{1,5},{2,8},{3,9},{4,10},{6,11},{7,12}}
[6,7,8,9,10,5,4,3,2,1,12,11]=>{{1,6},{2,7},{3,8},{4,9},{5,10},{11,12}}
[6,7,8,9,11,5,4,3,2,12,10,1]=>{{1,6},{2,7},{3,8},{4,9},{5,11},{10,12}}
[6,7,8,10,11,5,4,3,12,9,2,1]=>{{1,6},{2,7},{3,8},{4,10},{5,11},{9,12}}
[6,7,9,10,11,5,4,12,8,3,2,1]=>{{1,6},{2,7},{3,9},{4,10},{5,11},{8,12}}
[6,8,9,10,11,5,12,7,4,3,2,1]=>{{1,6},{2,8},{3,9},{4,10},{5,11},{7,12}}
[7,8,9,10,11,12,6,5,4,3,2,1]=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}
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Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
Properties
surjective, graded
Sage code
def mapping(pi): n = len(pi) arcs = [(i, pi(i)) for i in range(1, n+1) if i <= pi(i)] return SetPartitions().from_arcs(arcs, n)
Weight
40
Created
Sep 24, 2021 at 23:19 by Martin Rubey
Updated
Sep 24, 2021 at 23:19 by Martin Rubey
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