[0,1,1,3,2,3,4,4,4,4,7,5,6,5,7,8,8,7,7,8,8,10,9,
10,8,10,9,10,11,11,11,11,11,11,11,11,15,12,13,12,
14,12,13,12,15,16,16,14,14,15,15,14,14,16,16,18,
17,18,15,17,16,17,15,18,17,18,19,19,19,19,18,18,
18,18,19,19,19,19,22,20,21,20,22,19,20,19,22,20,
21,20,22]
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