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