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