[0,0,1,0,1,1,1,1,2,2,1,3,1,2,2,3,2,3,2,3,3,3,3,4, 1,4,4,2,3,5,3,4,5,4,3,7,4,4,3,6,5,5,3,6,5,6,4,6,4, 6,7,5,5,7,4,6,6,7,4,7,6,5,8,5,6,9,6,5,6,7,8,8,6,7, 7,9,7,7,5,9,10,6,8,9,8,10,7,8,7,11,8,7,9,9,10,10, 8,9,8,13]