[0,1,2,2,4,3,4,3,6,5,6,4,4,5,7,4,8,7,8,6,6,7,9,5,
7,5,10,6,10,8,11,5,10,9,10,8,8,9,11,7,9,7,12,8,12,
10,13,6,11,8,10,6,10,11,9,7,11,11,12,9,14,12,16,6,
12,11,12,10,10,11,13,9,11,9,14,10,14,12,15,8,13,
10,12,8,12,13,11,9,13,13,14,11,16,14,18,7,16,12,
14,9,12,11,11,7]
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