[1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,2,1,1,2,1,1, 2,2,1,3,2,1,3,2,2,3,3,2,4,3,2,4,3,3,5,4,3,5,4,3,6, 5,4,6,5,4,7,6,5,7,6,5,8,7,6,9,7,6,9,8,7,10,9,7,11, 9,8,11,10,9,12]