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