Input:

["Solution","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex","pickInd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[[[188,927,949,95,151,659,405,906,481,363,728,839]],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]]



Output:
[null,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1,2,7,10,11,1]

Expected:
[null,8,4,8,5,11,8,10,2,6,7,11,1,6,1,5,1,8,8,11,11,5,7,7,7,8,11,1,1,2,4,8,7,0,9,10,1,1,10,9,10,10,7,1,5,11,9,10,11,6,11,8,8,2,6,1,7,1,10,0,10,10,10,2,7,7,10,9,1,1,1,7,8,1,10,5,7,11,10,11,0,1,4,2,2,7,10,10,1,11,2,7,9,2,1,5,2,2,5,11,2,5,11,2,5,0,2,7,10,8,1,8,10,1,1,1,11,5,8,0,1,11,1,10,10,3,4,6,11,5,11,6,0,0,5,2,1,1,10,7,8,3,2,7,1,5,8,10,1,9,2,7,2,11,2,7,7,7,2,1,2,10,2,6,1,6,1,5,7,2,5,1,5,7,6,8,9,2,5,5,7,7,2,11,6,1,5,5,10,9,6,6,2,10,11,11,0,6,11,2,8,4,1,4,7,11,5,2,11,8,7,8,11,11,7,5,1,11,0,8,5,8,0,7,7,1,9,2,9,7,9,7,1,2,1,2,8,2,11,10,2,5,4,7,10,8,3,2,10,9,11,11,1,2,10,2,1,11,5,1,5,7,5,1,11,0,7,7,0,4,8,7,11,1,11,2,10,1,10,1,8,10,2,10,10,7,0,1,7,10,7,7,1,8,10,2,2,8,10,6,4,1,11,5,1,1,10,10,0,6,1,7,7,9,11,10,7,10,0,11,10,8,9,1,11,1,3,10,1,1,9,2,0,11,6,1,1,8,1,2,7,7,9,5,11,11,1,2,11,1,2,9,10,6,2,1,1,2,2,0,1,9,2,6,8,10,6,9,2,2,7,3,1,5,1,2,10,11,7,3,5,2,10,10,10,5,7,8,7,10,2,11,8,7,1,6,2,11,1,10,5,11,8,5,2,11,5,1,8,6,11,7,1,7,7,1,2,8,1,2,6,2,8,9,8,9,6,11,11,5,6,11,2,9,2,1,10,8,11,7,1,1,1,1,2,11,2,6,5,5,4,6,2,11,1,11,2,1,1,10,0,7,10,11,1,2,1,9,2,8,7,7,9,10,7,2,5,2,9,1,7,2,10,1,5,11,7,11,10,7,10,6,10,10,6,7,5,5,5,5,6,11,2,1,5,2,5,9,2,4,10,11,3,10,2,11,8,7,11,10,6,9,4,9,10,2,7,8,7,4,2,8,11,7,7,11,8,2,10,8,1,7,11,7,10,7,10,9,5,8,9,7,6,8,1,4,5,11,1,7,8,8,9,0,7,0,5,1,7,11,6,1,9,11,1,10,1,1,0,7,1,6,7,9,1,11,1,9,11,2,11,5,0,8,9,1,7,5,7,7,8,3,11,5,4,10,4,2,2,2,1,5,6,10,10,8,1,2,1,1,6,2,1,7,5,11,5,7,5,8,8,2,5,11,9,11,10,5,6,5,1,8,10,5,6,6,7,7,5,1,1,7,10,10,5,2,10,11,2,6,10,2,2,10,7,1,7,8,9,7,4,10,8,5,2,10,10,1,9,10,2,1,0,2,1,2,6,11,9,2,11,10,2,2,2,3,10,2,2,8,7,11,10,7,2,2,5,1,2,10,10,10,7,5,1,10,8,1,1,6,11,1,7,11,7,8,4,10,11,1,9,10,7,8,2,8,11,9,7,10,5,9,8,10,11,9,8,1,10,11,5,11,8,9,2,0,11,2,6,7,0,8,7,9,11,10,5,7,10,11,11,9,10,0,9,1,10,6,10,10,1,10,2,1,0,9,6,3,8,0,2,5,5,7,1,2,7,2,1,8,6,2,6,0,4,5,11,10,5,6,1,2,5,5,11,10,9,3,11,1,2,2,11,6,3,11,6,7,5,5,2,1,10,1,1,5,1,10,7,6,8,2,10,10,11,10,7,9,6,11,9,4,8,1,10,1,9,1,0,8,2,10,1,8,4,6,8,10,11,11,8,8,10,2,9,2,1,1,11,5,10,7,7,2,7,5,1,9,11,7,5,10,5,7,10,7,11,7,8,9,11,8,2,1,10,10,5,10,11,2,1,5,5,2,1,7,7,11,9,1,11,6,1,0,1,4,9,11,11,5,7,2,1,11,1,7,3,7,7,6,5,1,11,11,5,0,7,1,0,11,1,11,0,9,7,5,8,7,7,0,10,1,9,9,1,11,6,1,6,1,7,8,11,6,5,5,2,1,8,5,7,7,2,7,10,2,9,6,8,9,2,2,7,0,9,7,11,3,10,10,5]