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