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