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