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