[0,0,1,0,1,1,0,1,2,2,0,1,3,2,1,0,1,4,2,4,2,0,1,5, 2,9,3,1,0,1,6,2,16,4,8,3,0,1,7,2,25,5,27,3,2,0,1, 8,2,36,6,64,3,4,2,0,1,9,2,49,7,125,3,6,5,1,0,1,10, 2,64,8,216,3,8,10,16,3,0,1,11,2,81,9,343,3,10,17, 81,4,1,0,1,12,2]