[0,1,1,1,2,2,2,2,2,3,3,3,2,3,3,3,4,4,3,3,4,4,3,3,
4,5,5,5,5,5,5,5,4,5,5,5,6,6,6,6,6,5,5,5,6,6,6,6,4,
7,7,7,6,7,7,7,6,7,7,7,7,6,7,7,8,8,8,7,8,8,6,7,6,8,
7,7,6,8,7,7,8,9,9,9,8,9,9,9,6,8,9,9,9,8,9,9,8,9,7,
9,10,10,10,10,10,10,9,9,10,10,10,10,10,8,8,9,10,9,
10,10,10,11]
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