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