[1,2,2,1,3,2,3,3,1,4,2,4,3,4,4,1,5,2,5,3,5,4,5,5,
1,6,2,6,3,6,4,6,5,6,6,1,7,2,7,3,7,4,7,5,7,6,7,7,1,
8,2,8,3,8,4,8,5,8,6,8,7,8,8,1,9,2,9,3,9,4,9,5,9,6,
9,7,9,8,9,9,1,10,2,10,3,10,4,10,5,10,6,10,7,10,8,
10,9,10,10,1,11,2,11,3,11,4,11,5,11,6,11,7,11,8,
11,9,11,10,11,11,1,12]
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