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