[4,2,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,2,2,1,2,3,0,1,2,1,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,4,2,1,3,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,2,1,0,3,1,0,2,2,0,5,3,0,0,0,0,0,2,0,1,1,4,1,2,1,4,1,2,5,4,6,6,3,2,1,3,2,1,1,4,6,3,1,7,3,3,3,0,4,0,1,0,0,0,0,1,0,3,2,5,3,1,0,0,0,0,0,0,0,0,0,1,1,3,0,0,1,0,0,1,1,2,2,2,1,3,2,2,2,1,1,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,3,1,1,1,1,1,0,0,1,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,3,4,2,6,4,9,5,3,2,5,3,0,0,0,0,1,1,0,3,1,1,1,2,1,0,2,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,1,3,2,3,1,1,1,1,0,0,3,2,0,0,1,1,2,1,1,0,0,1,2,1,0,1,0,1,3,2,2,1,2,1,2,2,1,6,4,6,1,4,2,5,2,0,1,1,0,1,1,2,4,4,4,0,0,3,1,1,2,2,2,2,3,3,1,2,2,0,5,1,5,1,0,0,3,2,2,7,6,1,3,0,2,0,1,1,4,3,4,3,1,0,1,0,1,0,0,0,0,0,1,1,4,2,0,1,0,0,0,1,2,0,1,0,1,2,0,0,3,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,1,3,5,5,1,3,6,2,2,2,0,0,1,3,3,1,4,2,3,1,0,0,1,2,1,1,0,1,1,0,0,1,2,1,7,2,1,2,0,1,0,1,3,3,2,1,2,3,2,2,2,1,2,1,1,1,1,2,0,0,0,1,1,1,1,1,3,3,6,4,3,0,2,2,4,5,1,2,2,2,4,1,1,6,7,11,14,9,10,8,5,9,11,2,3,3,2,3,6,4,4,3,2,5,5,2,2,4,1,1,4,3,1,3,1,3,0,4,1,2,2,3,3,0,5,2,2,3,2,3,4,6,3,4,1,2,0,2,5,3,2,1,2,4,1,0,0,0,2,2,2,1,2,0,6,1,1,0,2,0,3,5,3,0,1,2,1,2,1,2,1,7,2,8,2,1,5,6,10,13,5,7,6,6,7,3,2,1,1,4,0,2,1,2,1,2,3,6,4,4,3,4,4,2,2,3,3,3,3,2,5,3,1,5,6,4,3,2,1,2,5,3,1,3,2,0,0,0,0,0,1,1,0,2,0,0,1,2,1,1,1,1,0,0,0,0,0,0,4,0,1,1,6,3,4,3,3,4,3,0,3,1,1,2,6,5,7,10,4,4,1,3,1,2,2,1,4,2,2,6,4,3,1,3,5,1,0,1,2,1,0,2,2,0,1,0,1,2,1,0,1,1,1,1,0,1,2,0,0,3,0,0,0,2,1,5,1,1,2,1,0,0,1,2,0,2,0,1,1,3,0,2,0,0,0,0,0,0,0,1,2,0,0,0,1,1,1,0,2,0,1,3,1,1,0,1,0,4,3,0,0,0,4,2,1,4,0,1,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,3,0,5,2,0,0,3,2,1,3,1,1,1,2,4,3,0,3,4,6,5,4,6,7,3,7,4,3,2,1,1,3,1,1,6,2,0,0,1,1,1,6,2,4,8,2,5,5,7,9,2,3,1,1,3,1,2,3,0,2,1,6,2,3,4,4,3,4,4,5,4,4,5,1,7,4,5,7,1,0,2,2,1,7,0,2,0,5,3,1,3,1,3,1,5,6,2,3,1,2,3,2,6,5,3,2,9,4,3,5,4,3,2,6,5,6,1,3,7,5,5,5,8,7,6,8,13,10,12,12,11,7,0,4,2,2,9,1,4,5,8,10,6,3,4,5,0,1,0,0,1,0,0,0,0,2,3,4,5,5,4,2,3,6,5,3,1,3,0,2,2,2,3,1,2,4,0,0,3,2,5,2,2,2,0,0,1,2,1,6,6,5,1,2,4,6,5,3,5,3,0,0,4,2,6,5,8,8,8,8,5,4,5,3,5,3,8,2,2,2,4,6,3,7,3,2,4,8,4,4,6,4,5,5,3,8,7,1,4,7,2,2,5,7,14,10,7,13,7,7,7,3,9,0,5,5,2,1,3,3,1,3,2,7,6,4,2,10,6,6,12,7,8,6,2,5,4,4,2,7,6,6,3,4,2,1,8,2,3,6,8,3,2,5,4,4,1,2,5,4,2,5,4,2,3,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,2,2,2,3,6,11,6,5,5,9,7,2,6,1,4,6,3,4,1,1,0,3,3,3,0,1,1,1,0,7,3,3,3,0,2,0,1,0,3,2,4,2,0,1,3,0,3,1,1,0,0,0,2,0,0,2,0,1,0,2,0,0,1,1,3,0,2,0,1,1,9,3,3,5,3,1,3,6,2,6,5,3,5,2,4,4,5,4,4,5,7,2,4,8,7,8,6,7]