list(N=2364, K=3, Y= structure(.Data= c(1, 2, 2, 2, 2, 4, 2, 3, 3, 1, 1, 3, 1, 1, 1, 4, 5, 3, 2, 1, 2, 2, 3, 3, 2,
	3, 2, 2, 3, 3, 2, 5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 2, 4, 3, 1,
	1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 2, 3, 4, 4, 3, 5, 4, 2, 2, 2, 4, 4, 5, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3,
	4, 4, 1, 5, 4, 3, 4, 4, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2,
	3, 2, 2, 1, 2, 2, 1, 2, 2, 1, 4, 2, 2, 4, 3, 2, 4, 2, 2, 3, 2, 2, 4, 4, 5, 5, 2, 1, 3, 2, 3, 3, 2, 3, 2, 2,
	3, 1, 2, 4, 5, 1, 1, 2, 3, 3, 4, 1, 3, 3, 1, 1, 2, 3, 4, 4, 2, 3, 3, 4, 5, 9, 2, 3, 2, 1, 2, 2, 4, 4, 4, 2,
	1, 1, 1, 2, 3, 3, 5, 4, 2, 3, 4, 1, 3, 3, 1, 2, 2, 2, 3, 3, 3, 1, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 1,
	1, 2, 2, 2, 3, 2, 2, 2, 1, 2, 4, 2, 3, 2, 3, 3, 5, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2,
	4, 4, 3, 2, 3, 2, 2, 3, 2, 2, 2, 3, 4, 4, 2, 4, 2, 1, 1, 2, 1, 3, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 2,
	3, 4, 3, 4, 4, 1, 2, 3, 3, 3, 2, 3, 5, 4, 1, 1, 2, 3, 4, 5, 2, 3, 4, 3, 4, 3, 2, 1, 4, 1, 2, 2, 2, 2, 2, 3,
	3, 4, 2, 3, 4, 3, 4, 4, 2, 3, 4, 1, 1, 2, 2, 3, 4, 2, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 3, 2, 3, 2, 2, 3, 1, 1,
	3, 3, 3, 4, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 4, 3, 2, 3, 2, 4, 5, 5, 2, 3, 3, 2, 3, 2, 2,
	4, 4, 2, 4, 4, 1, 2, 2, 3, 5, 4, 2, 2, 2, 2, 1, 2, 2, 4, 3, 2, 3, 4, 3, 4, 4, 3, 5, 4, 2, 1, 2, 3, 4, 4, 1,
	2, 2, 3, 1, 3, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 2, 3, 3, 2, 4, 4, 3, 4, 4, 2, 3, 2, 4, 5, 2, 2,
	1, 2, 2, 3, 2, 3, 5, 3, 4, 5, 4, 3, 3, 4, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 4, 2, 3, 4, 4, 2, 2, 3, 3, 5, 4, 3,
	5, 4, 2, 4, 3, 2, 4, 3, 2, 3, 2, 2, 2, 4, 3, 4, 9, 1, 4, 2, 1, 3, 2, 3, 3, 2, 2, 3, 4, 2, 4, 5, 3, 4, 4, 2,
	4, 4, 2, 2, 2, 2, 1, 4, 3, 5, 4, 2, 2, 4, 2, 1, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 5, 5, 2, 3, 4, 4, 9, 4, 2,
	3, 4, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 4, 4, 1, 3, 4, 2, 3, 2, 2, 2, 1, 2, 2, 2, 1, 3, 3, 2, 3, 4, 2, 3, 4, 2,
	3, 5, 2, 3, 3, 4, 5, 5, 1, 1, 2, 2, 4, 3, 2, 3, 3, 3, 3, 4, 2, 2, 4, 3, 3, 2, 3, 1, 4, 2, 4, 4, 2, 2, 4, 1,
	1, 1, 3, 4, 4, 3, 3, 2, 4, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 2, 4, 3, 2, 2, 2, 3, 3, 3, 3, 4, 1, 1, 1, 4,
	5, 4, 2, 3, 3, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 3, 4, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 4, 4, 1, 3, 3, 3, 4, 4, 2,
	3, 3, 2, 3, 3, 4, 5, 5, 2, 3, 3, 3, 1, 2, 3, 5, 3, 2, 2, 3, 3, 4, 3, 1, 2, 2, 2, 3, 3, 2, 3, 3, 2, 5, 2, 2,
	3, 2, 2, 3, 2, 4, 3, 3, 3, 5, 5, 2, 3, 3, 2, 4, 3, 3, 3, 4, 1, 1, 1, 3, 5, 4, 2, 4, 1, 2, 3, 4, 2, 2, 2, 2,
	4, 4, 3, 4, 4, 3, 3, 4, 2, 5, 3, 2, 3, 3, 1, 1, 1, 2, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 3, 2, 4, 5, 2,
	5, 4, 1, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 3, 2, 1, 2, 2, 4, 3, 1, 2, 3, 2, 4, 3, 2, 2, 2, 1, 2, 2, 3, 3, 4, 2,
	4, 3, 2, 1, 2, 2, 1, 3, 1, 4, 2, 2, 3, 3, 2, 1, 2, 3, 5, 5, 2, 2, 4, 4, 5, 5, 1, 2, 3, 2, 2, 2, 3, 3, 9, 3,
	5, 4, 2, 4, 3, 3, 4, 4, 2, 2, 3, 4, 5, 5, 3, 3, 3, 2, 4, 3, 3, 1, 2, 2, 3, 4, 3, 3, 3, 3, 5, 2, 2, 4, 3, 1,
	1, 1, 3, 5, 4, 2, 3, 4, 2, 3, 3, 2, 3, 1, 3, 3, 2, 1, 2, 1, 3, 4, 4, 2, 4, 4, 3, 4, 3, 2, 4, 2, 1, 3, 2, 2,
	3, 3, 2, 3, 4, 2, 5, 3, 2, 3, 4, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 2, 3, 3, 2,
	4, 3, 2, 1, 2, 2, 3, 1, 1, 3, 4, 1, 2, 2, 1, 3, 4, 3, 4, 3, 2, 2, 3, 3, 4, 3, 4, 5, 5, 2, 1, 1, 3, 5, 4, 2,
	5, 4, 4, 3, 3, 1, 4, 4, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 5, 4, 2, 2, 3, 2, 4, 4, 1, 1, 2, 2, 4, 2, 3, 4, 4, 2,
	3, 3, 3, 5, 4, 2, 3, 2, 2, 1, 2, 2, 3, 4, 2, 1, 3, 3, 4, 3, 1, 3, 3, 2, 3, 3, 3, 4, 4, 3, 5, 5, 2, 4, 3, 1,
	2, 4, 2, 3, 4, 2, 4, 3, 2, 3, 4, 2, 1, 2, 1, 2, 2, 2, 4, 3, 3, 4, 5, 4, 5, 4, 2, 3, 3, 3, 4, 4, 3, 3, 2, 2,
	3, 3, 3, 3, 3, 2, 4, 1, 2, 4, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5, 3, 5, 5, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 3, 3, 2,
	3, 4, 1, 1, 2, 3, 5, 4, 2, 2, 3, 2, 5, 4, 2, 4, 4, 2, 3, 4, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 3, 2,
	2, 3, 1, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 4, 2, 2, 4, 3, 2, 3, 3, 2, 4, 2, 3, 2, 2, 4, 3, 2, 3, 2, 2, 3, 4, 1,
	2, 1, 3, 4, 3, 2, 3, 4, 2, 5, 3, 3, 4, 4, 3, 3, 2, 2, 5, 4, 2, 2, 4, 1, 3, 4, 4, 9, 4, 2, 4, 3, 2, 2, 2, 2,
	3, 4, 2, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 5, 1, 2, 3, 1, 1, 2, 3, 2, 2, 2, 1, 2, 4, 1, 5, 3, 2, 4, 1,
	1, 2, 3, 5, 4, 3, 3, 4, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 2, 3, 3, 4, 2, 4, 3, 1, 1, 1, 2,
	2, 3, 2, 4, 2, 2, 2, 1, 2, 3, 3, 2, 3, 3, 3, 4, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2,
	2, 4, 1, 1, 2, 2, 4, 2, 3, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 1, 1, 2,
	2, 3, 2, 3, 3, 1, 1, 3, 2, 3, 2, 1, 3, 2, 3, 5, 3, 2, 5, 4, 2, 5, 2, 3, 5, 3, 2, 3, 3, 4, 5, 5, 2, 2, 2, 3,
	4, 3, 1, 2, 3, 2, 1, 3, 2, 5, 2, 2, 4, 3, 1, 1, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 2, 2, 2, 2, 2, 4, 1, 2, 4, 2,
	1, 2, 3, 5, 4, 2, 2, 2, 2, 1, 2, 3, 5, 4, 1, 3, 2, 4, 3, 2, 1, 2, 2, 2, 2, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 2,
	2, 4, 2, 3, 3, 2, 3, 3, 4, 1, 4, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 3, 3, 3, 4, 3, 3, 1, 2, 3, 2, 3, 2, 1, 2, 2,
	3, 2, 1, 4, 3, 1, 1, 3, 1, 1, 2, 3, 3, 4, 2, 4, 3, 2, 1, 2, 1, 2, 2, 1, 3, 4, 4, 5, 4, 2, 4, 4, 2, 2, 2, 2,
	4, 4, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 3, 2, 4, 3, 2, 2, 3, 2, 2, 2, 3, 3, 4, 2,
	2, 2, 1, 2, 4, 2, 4, 2, 4, 4, 4, 2, 4, 3, 2, 3, 4, 4, 9, 9, 2, 2, 2, 3, 5, 5, 3, 2, 3, 4, 2, 4, 2, 4, 2, 3,
	4, 5, 2, 2, 3, 2, 3, 4, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 4, 3, 2, 2, 2, 2, 5, 5, 1, 5, 4, 1, 3, 2, 2, 3, 4, 3,
	3, 3, 2, 5, 4, 1, 1, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 4, 1, 3, 4, 2,
	2, 2, 3, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 3, 4, 4, 2, 1, 1, 2, 2, 4, 2, 2, 2, 2, 3, 4, 4,
	5, 3, 1, 3, 5, 2, 1, 3, 4, 4, 4, 2, 2, 2, 2, 3, 2, 3, 5, 4, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 5, 4, 2, 4, 4, 2,
	2, 2, 3, 3, 4, 2, 3, 3, 2, 3, 4, 2, 3, 3, 1, 1, 1, 2, 4, 3, 2, 3, 4, 1, 5, 3, 2, 2, 4, 2, 3, 4, 2, 3, 4, 2,
	2, 2, 3, 4, 3, 1, 2, 2, 3, 3, 5, 2, 3, 4, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 4, 5, 1, 3, 2, 2, 5, 1, 3, 3, 4, 3,
	4, 1, 2, 4, 4, 2, 2, 3, 3, 4, 2, 2, 4, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 5, 2, 2, 3, 3, 2,
	1, 4, 2, 3, 3, 1, 3, 4, 3, 2, 5, 2, 4, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 5, 3, 2, 5, 4, 2, 3, 2, 2, 3, 2, 3,
	4, 3, 3, 1, 2, 3, 4, 4, 3, 2, 2, 2, 3, 2, 2, 4, 3, 2, 5, 2, 2, 2, 2, 2, 1, 2, 3, 3, 5, 1, 1, 1, 2, 4, 2, 3,
	3, 3, 1, 1, 1, 3, 3, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 3, 4, 2, 4, 1, 4, 4, 2, 2, 4, 4, 1, 1, 1, 4, 5, 4, 2,
	2, 4, 2, 4, 1, 2, 5, 3, 2, 4, 4, 2, 2, 1, 2, 4, 2, 2, 3, 5, 2, 3, 4, 2, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 3, 4,
	1, 1, 3, 4, 4, 3, 4, 2, 2, 4, 2, 2, 3, 4, 2, 4, 3, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 5, 5, 2, 2, 2, 2, 2, 4, 3,
	4, 3, 2, 3, 1, 4, 5, 9, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2,
	3, 4, 3, 3, 4, 2, 4, 4, 2, 4, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4, 3, 3,
	3, 3, 2, 4, 4, 2, 3, 3, 4, 5, 5, 4, 2, 1, 2, 3, 3, 2, 3, 3, 2, 4, 3, 3, 3, 4, 2, 2, 2, 3, 4, 4, 2, 3, 3, 2,
	2, 2, 3, 4, 4, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 5, 3, 4, 5, 5, 3, 3, 5, 3,
	5, 5, 3, 3, 4, 2, 2, 4, 2, 4, 3, 2, 3, 3, 4, 5, 5, 2, 4, 3, 3, 4, 3, 2, 1, 2, 2, 2, 4, 4, 5, 4, 4, 5, 4, 3,
	5, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 4, 2, 3, 3, 1, 3, 2, 1, 3, 1, 4, 5, 5, 2, 5, 3, 2, 3, 3, 3, 5, 3, 2,
	3, 1, 2, 3, 4, 3, 4, 4, 2, 3, 4, 2, 3, 2, 4, 5, 5, 4, 2, 5, 3, 5, 4, 2, 3, 3, 2, 3, 2, 1, 3, 3, 2, 3, 3, 2,
	4, 4, 3, 3, 4, 2, 4, 3, 2, 2, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 2, 3, 3, 1, 1, 1, 4, 5, 3, 3, 4, 5, 2, 3, 1, 2,
	3, 2, 2, 3, 3, 1, 3, 3, 2, 3, 4, 2, 3, 2, 3, 1, 2, 2, 3, 2, 4, 5, 5, 4, 1, 1, 3, 4, 4, 4, 2, 2, 2, 2, 2, 2,
	4, 4, 2, 4, 3, 3, 5, 2, 1, 5, 3, 2, 2, 2, 1, 2, 4, 1, 4, 3, 2, 3, 4, 4, 9, 1, 2, 2, 4, 3, 3, 3, 2, 3, 4, 1,
	2, 4, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 2, 4, 2, 3, 3, 2, 4, 2, 2, 1, 2, 1, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 3, 2,
	3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 2, 2, 2, 3, 2, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2,
	3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 4, 2, 4, 2, 4, 5, 3, 2, 3, 3, 3, 3, 4, 2, 3, 4, 2, 4, 3, 4, 5, 5, 2, 3, 3, 1,
	3, 2, 3, 4, 4, 3, 4, 4, 2, 3, 2, 2, 2, 3, 2, 4, 4, 3, 2, 2, 2, 3, 3, 4, 5, 3, 2, 2, 3, 2, 3, 3, 2, 2, 4, 2,
	2, 2, 3, 1, 3, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 5, 4, 2, 3, 4, 3, 2, 1, 2, 3, 3, 2, 1, 2, 3, 5, 2, 2, 3, 3, 2,
	3, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 4, 5, 5, 2, 2, 2, 2, 3, 4, 4, 4, 4, 1, 3, 2, 2, 4, 4, 2, 2, 4, 2, 2, 3, 2,
	3, 3, 2, 3, 4, 2, 2, 2, 3, 2, 2, 1, 3, 3, 2, 2, 1, 3, 4, 4, 2, 2, 3, 2, 3, 4, 3, 4, 3, 2, 2, 4, 2, 1, 2, 1,
	3, 2, 3, 4, 2, 2, 4, 3, 2, 4, 4, 2, 2, 2, 2, 4, 3, 2, 4, 4, 2, 2, 3, 2, 3, 2, 2, 3, 5, 3, 4, 3, 3, 3, 2, 1,
	2, 2, 2, 3, 3, 2, 5, 1, 1, 2, 2, 2, 4, 5, 2, 3, 3, 3, 3, 4, 1, 2, 2, 2, 3, 4, 2, 3, 3, 2, 4, 3, 4, 2, 4, 2,
	3, 2, 2, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 2, 2, 3, 4, 2,
	3, 3, 1, 2, 3, 2, 3, 4, 3, 3, 4, 2, 2, 2, 1, 1, 2, 2, 3, 4, 2, 3, 4, 2, 3, 4, 4, 3, 3, 2, 1, 2, 2, 3, 3, 2,
	4, 3, 2, 2, 4, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 4, 2, 3, 4, 2, 2, 4, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3,
	3, 3, 4, 5, 5, 2, 3, 2, 3, 3, 5, 1, 2, 2, 4, 3, 3, 3, 1, 4, 2, 2, 4, 2, 2, 3, 2, 3, 3, 1, 4, 4, 2, 3, 2, 3,
	3, 2, 2, 2, 3, 1, 2, 3, 2, 4, 3, 1, 2, 3, 1, 3, 2, 1, 2, 2, 1, 3, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 2, 4,
	9, 3, 2, 3, 2, 3, 5, 3, 2, 2, 1, 2, 2, 2, 2, 3, 4, 2, 4, 3, 2, 3, 4, 2, 4, 4, 2, 4, 5, 2, 2, 3, 2, 2, 3, 3,
	2, 4, 2, 3, 3, 2, 3, 3, 2, 3, 4, 2, 3, 5, 2, 4, 3, 2, 4, 3, 2, 2, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2,
	2, 2, 2, 4, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 2, 4, 4, 1, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2,
	3, 3, 2, 3, 3, 4, 2, 5, 1, 1, 2, 2, 4, 3, 3, 2, 2, 1, 3, 2, 2, 3, 4, 2, 3, 3, 1, 3, 2, 2, 3, 4, 3, 4, 3, 3,
	5, 4, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 3, 2, 5, 1, 2, 3, 3, 3, 5, 4, 2, 3, 4, 4, 5, 4, 2, 3, 2, 3, 3, 4, 1,
	2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 2, 5, 5, 3, 5, 5, 1, 1, 2, 2, 3, 3, 1, 3, 3, 2, 2, 2, 2, 3, 2, 2,
	2, 4, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 4, 2, 4, 4, 3, 5, 2, 2, 2, 1, 2, 3, 4, 2, 4, 3, 4,
	1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 3, 2, 4, 3, 3, 4, 3, 4, 5, 5, 3, 2, 3, 2, 2, 4, 2, 3, 4, 2, 3, 3, 2, 2, 3, 1,
	3, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 4, 4, 1, 5, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 5, 2, 1, 2, 3, 4, 3, 3,
	5, 4, 2, 4, 4, 3, 4, 4, 3, 4, 5, 2, 3, 3, 2, 2, 3, 2, 5, 4, 3, 4, 4, 1, 1, 2, 3, 4, 4, 3, 2, 2, 2, 1, 5, 3,
	5, 3, 1, 2, 1, 2, 4, 3, 2, 3, 3, 4, 1, 2, 2, 4, 4, 4, 5, 5, 2, 4, 4, 4, 5, 4, 4, 2, 3, 3, 3, 3, 3, 5, 5, 2,
	3, 4, 2, 1, 4, 1, 1, 2, 4, 1, 5, 3, 5, 4, 3, 1, 4, 4, 5, 5, 2, 4, 3, 2, 3, 4, 3, 3, 4, 2, 5, 4, 4, 5, 5, 1,
	3, 4, 4, 5, 5, 3, 5, 5, 2, 2, 2, 2, 3, 2, 1, 3, 1, 2, 4, 3, 2, 3, 4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 1, 2, 3, 2,
	4, 2, 3, 5, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 4, 2, 3, 4, 2, 5, 3, 2, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 2,
	2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 4, 1, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 3, 2, 3, 2, 4,
	2, 3, 3, 5, 5, 3, 3, 3, 4, 5, 4, 4, 5, 4, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3, 2, 2, 2, 3, 3, 4, 2, 4, 4, 3,
	3, 3, 3, 4, 4, 4, 5, 3, 2, 2, 2, 1, 4, 4, 2, 4, 3, 2, 4, 3, 4, 9, 5, 2, 3, 2, 1, 1, 2, 4, 5, 5, 2, 2, 2, 1,
	1, 1, 1, 4, 3, 1, 4, 2, 2, 3, 3, 2, 4, 2, 2, 2, 1, 2, 3, 3, 2, 4, 3, 2, 4, 3, 2, 3, 3, 3, 4, 4, 2, 2, 3, 2,
	2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 3, 2, 4, 2, 3, 4, 2, 4, 1, 2, 3, 3, 2, 3, 3, 2, 4, 3, 1, 2, 3, 3, 4, 4, 2,
	3, 4, 1, 2, 2, 3, 3, 4, 2, 2, 1, 2, 3, 3, 2, 5, 4, 2, 2, 2, 2, 4, 4, 2, 2, 3, 4, 5, 5, 2, 2, 3, 1, 1, 3, 2,
	2, 3, 2, 4, 3, 3, 3, 5, 3, 3, 3, 3, 5, 4, 3, 4, 4, 2, 5, 4, 1, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 2, 2,
	3, 2, 3, 2, 3, 2, 4, 4, 2, 3, 2, 3, 4, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 2, 4, 2, 2, 3, 4, 1, 5, 4, 2, 3, 2, 2,
	4, 4, 1, 3, 2, 2, 3, 3, 1, 2, 2, 4, 4, 4, 2, 3, 3, 4, 3, 4, 3, 5, 3, 2, 3, 4, 1, 3, 3, 3, 4, 3, 2, 2, 2, 2,
	2, 2, 2, 3, 5, 4, 1, 1, 4, 4, 4, 2, 1, 3, 2, 2, 1, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 5, 2, 2, 2, 2, 2, 4, 4, 2,
	3, 3, 2, 2, 4, 3, 3, 3, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 4, 3, 4, 2, 2, 2, 3, 2, 4, 5, 5, 1, 1, 4, 1,
	2, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 2, 2, 3, 3, 3, 4, 2, 4, 4, 4, 5, 5, 3, 3, 3, 4, 5, 5, 2, 1, 2, 4, 4, 4, 3,
	3, 4, 2, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 1, 3, 2, 3, 5, 4, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 5, 3, 3, 4, 4, 4,
	5, 5, 2, 2, 2, 3, 5, 5, 3, 3, 2, 2, 3, 3, 2, 4, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 4, 5, 2, 3, 2, 2, 4, 3, 2,
	4, 2, 3, 2, 3, 3, 4, 4, 2, 3, 2, 2, 3, 4, 2, 3, 2, 2, 3, 2, 4, 4, 4, 2, 4, 2, 3, 3, 2, 3, 2, 2, 2, 3, 4, 2,
	4, 4, 2, 4, 3, 1, 3, 3, 2, 3, 4, 2, 2, 2, 3, 5, 4, 3, 3, 3, 3, 4, 1, 3, 4, 4, 2, 2, 2, 3, 3, 4, 4, 4, 5, 2,
	2, 2, 2, 3, 2, 2, 4, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 4, 4, 5, 2, 2, 3, 3, 4, 4, 2, 9, 9, 2, 2, 2, 2, 1, 2, 1,
	2, 2, 3, 3, 2, 2, 4, 2, 2, 3, 2, 3, 1, 1, 4, 3, 4, 2, 1, 1, 3, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 4, 2,
	3, 2, 2, 1, 1, 2, 1, 3, 2, 2, 4, 2, 3, 3, 3, 3, 3, 1, 3, 2, 2, 3, 3, 2, 2, 3, 2, 4, 3, 2, 3, 2, 4, 5, 5, 2,
	3, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 1, 1, 3, 2, 4, 2, 1, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 5, 4, 2, 1, 1, 2,
	3, 3, 2, 5, 3, 4, 3, 5, 2, 2, 3, 3, 3, 4, 4, 5, 4, 3, 3, 4, 2, 1, 1, 3, 3, 4, 2, 2, 2, 2, 4, 2, 3, 4, 4, 3,
	4, 5, 1, 2, 2, 2, 2, 3, 4, 5, 4, 4, 9, 9, 2, 3, 2, 3, 4, 4, 2, 2, 5, 3, 4, 2, 2, 1, 4, 2, 2, 3, 1, 3, 2, 2,
	4, 2, 3, 4, 5, 2, 3, 3, 4, 5, 4, 2, 3, 2, 2, 2, 2, 2, 4, 3, 4, 5, 5, 3, 2, 3, 2, 4, 4, 1, 1, 2, 2, 3, 3, 4,
	3, 4, 2, 2, 2, 3, 4, 4, 3, 4, 5, 3, 4, 4, 2, 2, 2, 3, 3, 3, 2, 3, 4, 1, 3, 2, 2, 1, 3, 4, 9, 5, 3, 5, 4, 1,
	2, 3, 2, 2, 3, 1, 2, 2, 2, 3, 3, 4, 4, 4, 1, 2, 2, 3, 3, 4, 2, 3, 4, 1, 3, 4, 4, 5, 2, 2, 3, 3, 2, 1, 3, 3,
	3, 3, 2, 4, 3, 2, 2, 2, 2, 3, 2, 2, 5, 3, 4, 5, 2, 2, 3, 3, 2, 4, 4, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4,
	4, 4, 3, 3, 4, 4, 5, 4, 1, 5, 2, 3, 5, 4, 2, 3, 3, 2, 3, 2, 2, 4, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3,
	3, 3, 2, 3, 3, 3, 4, 3, 1, 1, 2, 3, 4, 3, 4, 2, 4, 1, 2, 9, 2, 2, 3, 4, 5, 2, 3, 3, 4, 2, 3, 3, 3, 4, 4, 3,
	5, 3, 2, 5, 4, 2, 3, 3, 3, 4, 4, 4, 5, 5, 1, 1, 2, 2, 5, 2, 2, 2, 3, 2, 3, 3, 1, 4, 3, 2, 4, 4, 2, 5, 4, 2,
	2, 4, 3, 4, 4, 2, 3, 4, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 4, 2, 3, 4, 3, 4, 5, 2, 4, 4, 2, 3, 2, 2, 4, 3, 1,
	2, 2, 3, 2, 2, 2, 2, 1, 1, 3, 1, 2, 3, 2, 2, 4, 4, 4, 2, 5, 2, 5, 2, 2, 3, 3, 2, 3, 3, 4, 5, 4, 2, 3, 4, 4,
	2, 2, 2, 1, 3, 3, 5, 2, 3, 2, 2, 2, 3, 5, 2, 3, 4, 2, 1, 1, 2, 5, 3, 3, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 2, 4,
	4, 4, 2, 2, 4, 1, 1, 1, 2, 4, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 1, 4, 1, 3, 1, 1, 1, 1, 4, 2, 2, 4, 9, 9, 3,
	4, 4, 2, 2, 4, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 1, 1, 2, 3, 2, 3, 4, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2,
	4, 2, 3, 4, 9, 3, 2, 3, 1, 2, 2, 1, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 4, 2, 3, 2, 3,
	3, 4, 3, 4, 5, 3, 3, 3, 2, 4, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 2, 4, 3, 2, 2, 3, 3, 4, 4, 3, 4, 4, 2, 1, 3, 2,
	4, 3, 2, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 5, 2, 3, 2, 2, 4, 2, 9, 9, 9, 4, 5, 5, 2, 4, 3, 3, 3, 4, 2, 3, 2, 2,
	2, 3, 1, 1, 1, 2, 4, 3, 3, 3, 4, 2, 3, 3, 3, 5, 4, 1, 4, 5, 2, 3, 3, 3, 4, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3,
	5, 4, 2, 3, 4, 2, 3, 3, 1, 2, 2, 3, 3, 3, 2, 3, 3, 3, 5, 4, 2, 4, 2, 2, 3, 2, 2, 3, 3, 2, 3, 4, 2, 4, 2, 4,
	5, 3, 2, 2, 3, 2, 4, 3, 2, 4, 3, 2, 3, 2, 3, 3, 3, 2, 3, 5, 2, 2, 2, 2, 4, 2, 2, 4, 3, 2, 3, 3, 3, 4, 4, 2,
	3, 3, 2, 4, 1, 2, 2, 1, 4, 5, 5, 3, 4, 4, 2, 5, 3, 3, 3, 4, 3, 5, 4, 2, 4, 4, 2, 2, 2, 1, 2, 2, 1, 3, 2, 3,
	1, 3, 1, 2, 2, 2, 3, 2, 2, 4, 4, 2, 2, 3, 3, 5, 4, 4, 5, 4, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 3, 5, 2, 4, 2, 2,
	2, 2, 2, 3, 4, 2, 4, 4, 2, 2, 3, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 4, 3, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 5, 3,
	2, 3, 2, 5, 2, 3, 5, 4, 3, 5, 5, 2, 3, 3, 3, 4, 4, 2, 3, 3, 2, 3, 4, 3, 5, 2, 4, 3, 4, 2, 3, 5, 2, 2, 2, 2,
	5, 4, 2, 4, 3, 3, 3, 2, 3, 4, 4, 4, 5, 5, 2, 3, 4, 3, 3, 3, 4, 4, 4, 2, 3, 4, 1, 3, 3, 3, 4, 4, 3, 4, 4, 2,
	2, 3, 3, 5, 4, 2, 2, 3, 2, 4, 4, 1, 3, 3, 4, 4, 3, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 4, 3, 1,
	2, 4, 1, 1, 2, 1, 2, 3, 2, 4, 5, 2, 2, 2, 2, 2, 3, 2, 5, 5, 2, 2, 2, 3, 3, 4, 2, 3, 4, 2, 4, 3, 3, 4, 3, 2,
	2, 3, 1, 2, 3, 2, 4, 5, 2, 4, 4, 1, 1, 2, 2, 2, 2, 2, 1, 3, 2, 5, 3, 2, 4, 2, 2, 4, 3, 2, 4, 4, 3, 4, 5, 3,
	1, 5, 3, 3, 3, 2, 2, 3, 3, 4, 4, 2, 4, 2, 2, 3, 4, 3, 4, 4, 1, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 5, 5, 2,
	2, 2, 3, 5, 5, 2, 3, 1, 3, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 2, 2, 3, 2, 2, 3, 3, 4, 1, 5, 4, 3, 4, 4, 4, 4, 1,
	2, 2, 3, 4, 4, 2, 2, 4, 2, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 3, 2, 4, 4, 1, 1, 3, 2, 3, 3, 1, 3, 2, 2, 3, 3, 3,
	2, 2, 2, 3, 4, 2, 3, 3, 1, 4, 2, 2, 4, 3, 2, 3, 2, 2, 4, 2, 3, 4, 5, 2, 4, 2, 4, 3, 4, 2, 4, 2, 1, 2, 3, 3,
	3, 4, 1, 1, 1, 3, 3, 4, 3, 4, 4, 2, 3, 4, 2, 4, 4, 3, 4, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 3, 4, 2, 4, 4, 2,
	3, 4, 2, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 4, 3, 4, 3, 2, 3, 3, 2, 4, 4, 2, 4, 2, 4, 5, 5, 3, 4, 3, 2,
	4, 4, 2, 4, 3, 3, 4, 3, 2, 1, 2, 2, 2, 2, 2, 3, 5, 3, 4, 5, 1, 3, 2, 2, 2, 2, 2, 4, 2, 3, 2, 4, 3, 4, 4, 2,
	3, 4, 2, 4, 2, 1, 2, 3, 1, 1, 2, 2, 2, 3, 3, 4, 2, 2, 3, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 1, 2, 2, 1, 5, 3, 2,
	2, 2, 2, 2, 2, 2, 3, 4, 2, 4, 3, 2, 2, 3, 2, 3, 3, 2, 3, 3, 4, 2, 4, 2, 4, 2, 2, 4, 4, 4, 5, 5, 3, 3, 4, 3,
	2, 1, 1, 2, 2, 2, 4, 4, 2, 2, 2, 2, 3, 2, 4, 4, 3, 1, 1, 2, 2, 3, 3, 3, 4, 5, 3, 5, 4, 2, 4, 3, 2, 2, 3, 3,
	5, 5, 2, 2, 3, 2, 3, 4, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 1, 2, 3, 1, 3, 3, 5, 4, 3, 4, 2, 2, 2, 4, 3,
	2, 3, 2, 2, 3, 2, 3, 3, 2, 4, 3, 3, 4, 2, 2, 3, 3, 1, 4, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 4, 4, 2, 4, 4, 3,
	4, 3, 2, 3, 4, 4, 4, 2, 2, 4, 4, 4, 9, 2, 2, 3, 3, 4, 5, 5, 3, 3, 4, 3, 4, 2, 3, 3, 4, 2, 2, 2, 2, 3, 3, 2,
	3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 4, 5, 3, 2, 3, 2, 4, 2, 2, 3, 4, 3,
	4, 5, 2, 2, 2, 2, 3, 2, 1, 1, 4, 3, 5, 1, 2, 3, 4, 4, 2, 5, 2, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4,
	5, 4, 3, 4, 3, 3, 4, 4, 1, 3, 3, 4, 4, 4, 2, 3, 2, 3, 3, 3, 4, 9, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 2, 4, 4, 2,
	3, 4, 2, 3, 2, 2, 4, 3, 4, 3, 4, 2, 1, 1, 3, 3, 3, 2, 4, 4, 1, 1, 2, 3, 5, 4, 3, 2, 3, 2, 3, 3, 2, 4, 4, 2,
	2, 2, 3, 2, 2, 3, 5, 3, 2, 5, 3, 2, 2, 5, 4, 3, 2, 4, 3, 3, 2, 4, 2, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 1, 3, 2,
	2, 2, 3, 4, 2, 2, 2, 3, 2, 3, 3, 3, 2, 5, 2, 2, 4, 1, 2, 1, 3, 3, 5, 2, 4, 5, 1, 2, 2, 1, 2, 2, 2, 3, 3, 2,
	3, 3, 2, 4, 5, 2, 4, 1, 1, 1, 2, 3, 3, 3, 2, 4, 3, 4, 5, 4, 3, 4, 3, 1, 2, 3, 2, 4, 4, 2, 2, 3, 4, 5, 9, 4,
	5, 5, 3, 4, 4, 1, 3, 3, 3, 2, 1, 3, 3, 4, 3, 3, 4, 3, 3, 4, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 4, 3, 2, 3, 2,
	3, 3, 2, 4, 3, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 1, 3, 4, 4, 1, 4, 2, 3, 3, 3, 2, 3, 2, 2, 3, 4, 3, 4, 4, 2,
	3, 2, 2, 4, 4, 4, 5, 5, 2, 4, 4, 4, 2, 3, 3, 2, 2, 4, 5, 4, 3, 4, 4, 2, 3, 2, 2, 2, 3, 2, 2, 2, 4, 5, 3, 4,
	1, 2, 1, 1, 1, 2, 2, 3, 4, 4, 5, 2, 3, 4, 4, 5, 4, 2, 2, 5, 3, 3, 3, 2, 5, 3, 2, 4, 4, 3, 4, 3, 2, 2, 3, 3,
	4, 4, 2, 3, 3, 2, 3, 3, 2, 2, 4, 2, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 2, 1, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 2,
	3, 4, 2, 3, 3, 2, 4, 4, 2, 3, 3, 2, 5, 4, 2, 2, 2, 3, 4, 4, 2, 2, 3, 2, 2, 4, 2, 5, 4, 2, 2, 2, 2, 2, 3, 2,
	2, 4, 2, 3, 3, 3, 5, 4, 2, 2, 3, 2, 3, 4, 1, 3, 3, 2, 5, 4, 2, 2, 3, 3, 4, 3, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2,
	3, 3, 2, 4, 2, 3, 5, 5, 3, 3, 4, 2, 4, 3, 3, 1, 2, 2, 4, 3, 2, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 5, 2, 2, 3, 3,
	4, 3, 1, 3, 3, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 4, 5, 3, 3, 4, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
	4, 4, 3, 5, 4, 3, 3, 4, 2, 3, 2, 1, 1, 2, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 4, 2, 4, 2, 1, 1, 2, 3, 2, 2, 3,
	4, 4, 1, 3, 2, 1, 4, 3, 4, 2, 2, 2, 3, 4, 1, 1, 1, 4, 2, 2, 2, 2, 2, 1, 3, 2, 3, 5, 3, 3, 9, 9, 2, 3, 3, 2,
	3, 3, 3, 3, 2, 2, 4, 4, 1, 1, 2, 4, 9, 5, 2, 3, 3, 3, 4, 4, 2, 2, 2, 2, 4, 4, 3, 9, 4, 2, 2, 3, 3, 5, 4, 2,
	3, 2, 4, 4, 5, 1, 2, 3, 2, 2, 2, 1, 4, 4, 2, 3, 2, 4, 4, 3, 2, 2, 3, 2, 4, 4, 3, 2, 4, 3, 3, 3, 2, 4, 4, 2,
	3, 4, 3, 3, 4, 2, 3, 3, 2, 2, 3, 3, 4, 4, 2, 3, 3, 3, 4, 3, 2, 3, 3, 2, 4, 3, 2, 3, 2, 3, 4, 4, 2, 3, 4, 2,
	2, 3, 2, 4, 4, 3, 5, 5, 2, 3, 2, 3, 3, 4, 1, 4, 2, 3, 5, 3, 3, 3, 3, 2, 2, 3, 2, 2, 1, 4, 5, 4, 2, 4, 3, 2,
	3, 4, 1, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 2, 1, 3, 3, 3, 4, 2, 4, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 2,
	3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 4, 1, 3, 2, 2, 4, 3, 3, 3, 4, 4, 1, 4, 1, 1, 1, 2, 5, 3, 2, 2, 3, 2, 3, 3, 2,
	2, 2, 2, 3, 3, 2, 3, 3, 1, 2, 3, 2, 4, 3, 2, 3, 3, 4, 5, 5, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2,
	3, 4, 2, 1, 3, 3, 3, 2, 1, 1, 2, 1, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 2, 1, 1, 2, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3,
	3, 2, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 2, 3, 4, 2, 3, 3, 2, 4, 3, 4, 2, 4, 2,
	3, 4, 2, 3, 4, 2, 4, 5, 3, 4, 4, 1, 1, 2, 4, 5, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 2, 3, 3, 2, 4, 4, 2, 2, 3, 2,
	4, 5, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 4, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2,
	3, 3, 2, 3, 4, 2, 1, 3, 2, 3, 4, 2, 4, 3, 2, 2, 3, 2, 3, 4, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 2, 3, 2, 4, 3, 4,
	1, 5, 4, 5, 2, 2, 3, 2, 3, 4, 4, 2, 3, 4, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 4, 2, 2, 2, 4, 3, 5, 5, 1, 2, 1, 3,
	4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 5, 3, 4, 5, 5, 2, 3, 4, 1, 1, 2, 1, 1, 2, 2, 2, 4, 3, 3, 5, 2, 3, 2, 3,
	1, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 2, 1, 2, 4, 3, 2, 4,
	1, 3, 4, 5, 5, 4, 5, 5, 2, 3, 3, 3, 5, 4, 2, 3, 2, 2, 2, 3, 3, 4, 3, 1, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2,
	2, 3, 2, 1, 2, 3, 2, 4, 2, 3, 4, 2, 2, 4, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2,
	3, 4, 2, 2, 3, 2, 4, 3, 2, 5, 3, 1, 2, 2, 2, 4, 2, 2, 5, 4, 2, 4, 4, 2, 1, 3, 2, 2, 2, 1, 2, 2, 3, 4, 2, 2,
	4, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 2, 4, 3, 2, 3, 1, 2, 1, 3, 3, 1, 2, 3, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 4, 2,
	3, 9, 3, 3, 4, 2, 3, 4, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 4, 3, 4, 3, 2, 1, 4, 2, 3, 3, 2, 2, 2, 3, 2, 2, 3,
	5, 3, 2, 1, 2, 2, 4, 3, 3, 3, 2), 
	.Dim=c(2364, 3)))