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