if(requireNamespace("OpenMx", quietly = TRUE)){
test_that("ordinal variable thresholds correct", {
tidySEM:::skip_if_not_local()
tmp <- 'structure(list(u1 = structure(c(1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 2L, 3L, 3L, 1L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L,
3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L,
1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 3L, 2L, 1L, 3L, 1L,
3L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 2L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 2L, 1L, 2L,
3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 3L, 2L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 3L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 2L,
1L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 2L, 3L,
1L, 3L, 1L, 2L, 2L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 2L,
3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
3L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
2L, 1L, 2L, 2L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 3L, 2L, 1L,
2L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 1L,
1L, 3L, 2L, 2L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L,
1L, 3L, 2L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 2L, 3L, 3L,
1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 3L, 1L, 3L,
3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L,
3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L,
2L, 2L, 3L, 3L, 3L, 1L, 2L, 2L, 1L, 2L, 3L, 2L, 3L, 1L, 2L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L,
1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 2L,
1L, 2L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L,
2L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 3L,
2L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 2L, 2L, 1L, 1L, 2L, 1L,
3L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 1L, 2L, 3L, 2L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 2L, 1L, 3L,
3L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 2L, 1L,
1L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 2L, 3L,
2L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 2L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 3L,
2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
1L, 1L, 2L, 2L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 2L, 3L, 2L, 3L, 1L,
1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L,
1L, 3L, 3L, 2L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L,
2L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 2L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L,
3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 3L,
1L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L,
1L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L,
1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 2L,
3L, 3L, 3L, 3L, 2L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L,
2L, 1L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 3L, 2L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 2L, 1L, 1L, 3L, 2L, 2L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 2L, 1L,
3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 2L, 2L, 1L,
1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L,
3L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 2L, 1L, 2L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 1L, 2L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L,
1L, 3L, 2L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 1L,
3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 2L,
1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 2L, 3L,
3L, 3L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 1L,
2L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 3L,
3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 2L,
1L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 2L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L,
3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
2L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 2L,
2L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L,
3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 2L, 2L, 1L, 1L,
3L, 2L, 1L, 2L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 2L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 2L, 1L, 2L, 2L,
1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L,
3L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 3L,
2L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 3L, 2L,
1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 2L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 1L, 3L,
1L, 2L, 1L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L,
1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 2L, 2L, 1L, 2L, 3L, 1L, 2L, 3L, 1L, 3L, 2L, 3L, 1L, 3L,
2L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 3L, 3L, 3L,
1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 3L, 3L,
2L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
3L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 2L, 2L, 1L, 3L, 3L, 3L,
1L, 3L, 2L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L,
3L, 3L, 2L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 2L, 3L, 2L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 2L, 3L, 2L, 3L, 1L,
3L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L,
1L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 2L, 3L, 1L,
1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 2L, 2L, 2L, 3L, 2L, 2L, 3L, 1L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 2L,
3L, 1L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 2L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 3L,
1L, 1L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 3L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L,
2L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 3L,
1L, 1L, 1L, 1L, 2L, 3L, 1L, 2L, 1L, 3L, 3L, 2L, 3L, 1L, 2L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L,
2L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L,
1L, 2L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 1L,
1L, 2L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 2L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L,
1L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 3L, 1L, 3L,
2L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 2L, 2L, 1L, 3L, 3L, 2L, 3L, 3L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L,
3L, 1L, 3L, 3L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 3L, 1L, 2L, 3L, 3L, 2L, 3L, 2L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 2L, 3L, 1L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L,
3L, 3L, 2L, 3L, 2L, 1L, 1L, 2L, 3L, 1L, 1L, 2L, 1L, 2L, 3L, 3L,
3L, 2L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
2L, 1L, 2L, 3L, 3L, 2L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 1L,
3L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 1L,
2L, 1L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L,
3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 2L, 1L,
1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 3L,
1L, 1L, 2L, 2L, 2L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L,
3L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
2L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 2L, 1L, 1L, 3L, 2L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L,
1L, 2L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 2L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 3L, 2L, 3L, 1L, 2L, 2L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L,
1L, 3L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
2L, 3L, 2L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L,
1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 2L,
1L, 2L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 1L, 2L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 3L,
1L, 2L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 3L,
1L, 3L, 3L, 1L, 2L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 2L, 3L, 2L, 1L, 2L,
1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 2L,
2L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L,
3L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 3L,
3L, 2L, 1L, 3L, 2L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 2L, 1L,
3L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L,
3L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 3L, 3L, 1L, 3L,
1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 2L,
1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 3L,
3L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 2L,
2L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L,
3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 2L,
3L, 2L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 2L, 3L,
1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 3L,
3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 3L,
1L, 2L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L,
1L, 1L, 2L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L,
1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 3L, 2L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L,
1L, 1L, 1L, 2L, 2L, 2L, 3L, 3L, 2L, 3L, 1L, 3L, 3L, 2L, 3L, 3L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
2L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L,
1L, 3L, 2L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 2L, 1L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L,
1L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 2L, 3L, 1L, 3L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 2L,
1L, 3L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
3L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 2L, 2L, 1L, 1L,
1L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 2L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L,
1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 1L, 2L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 2L, 3L,
2L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L,
3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 2L, 3L, 2L, 2L,
3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 2L, 3L, 1L,
1L, 3L, 1L, 2L, 3L, 2L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
2L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 2L, 3L, 2L, 1L, 3L, 1L,
2L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L,
2L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 3L,
1L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 3L, 2L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 2L, 3L, 3L, 2L, 1L,
2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 2L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L,
3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L,
3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 2L, 3L, 2L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 2L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 2L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 1L,
2L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L,
3L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 2L,
1L, 3L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L,
3L, 3L, 1L, 2L, 2L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 2L, 2L, 3L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 2L, 3L, 1L, 3L, 2L, 1L, 3L,
3L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 2L, 2L, 3L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 2L, 1L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L
), .Label = c("0", "1", "2"), class = c("ordered", "factor")),
u2 = structure(c(3L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 2L,
3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
2L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L,
1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 3L, 1L,
3L, 3L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 2L, 3L, 3L,
2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L,
1L, 2L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L,
3L, 3L, 3L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L,
1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 2L,
1L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 2L, 1L, 1L, 3L, 1L, 3L, 2L, 2L, 1L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 2L, 2L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 2L, 1L, 2L, 1L, 2L,
3L, 1L, 3L, 3L, 3L, 2L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L,
3L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L,
2L, 2L, 1L, 1L, 2L, 1L, 2L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L,
1L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 3L,
3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L,
3L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L,
1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 2L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 2L, 1L, 3L,
1L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 2L, 2L, 1L,
2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L,
1L, 1L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 1L,
3L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 2L, 2L, 2L, 2L, 1L,
3L, 1L, 3L, 2L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L, 2L, 1L,
3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L,
2L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 2L, 3L,
1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 2L, 2L, 3L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 2L,
1L, 1L, 3L, 2L, 2L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 2L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 3L, 1L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L,
2L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 1L, 2L,
3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 2L, 3L, 2L, 3L, 3L, 1L, 2L, 2L, 1L, 3L,
3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 3L, 2L, 2L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L,
1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L,
2L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 2L, 3L, 2L, 1L, 3L,
2L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 2L, 3L, 3L, 3L, 1L, 2L,
1L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 3L,
3L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 2L,
1L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 2L, 2L, 3L, 3L, 3L, 1L, 2L, 2L, 1L, 1L, 2L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 2L, 3L, 1L,
1L, 2L, 1L, 3L, 2L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L,
1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 2L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 2L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 3L, 3L,
1L, 2L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 1L,
2L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 2L,
3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 2L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
2L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 2L, 1L, 3L, 2L, 3L, 3L, 1L,
3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L,
2L, 1L, 3L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L,
3L, 3L, 3L, 3L, 2L, 2L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 2L, 2L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 3L,
2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L,
1L, 2L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 1L,
2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L,
2L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
2L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 2L, 3L, 2L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 1L,
1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L,
1L, 3L, 3L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 2L, 1L, 1L, 1L,
3L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L,
1L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 2L, 3L, 3L,
3L, 3L, 2L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L,
1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 2L, 1L, 3L,
3L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 2L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 2L, 2L, 1L, 1L, 3L, 2L, 2L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 2L, 2L,
3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 3L,
3L, 1L, 3L, 3L, 1L, 2L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L,
1L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 2L, 2L, 2L, 1L,
2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 2L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 3L, 3L, 1L, 1L, 1L,
3L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
2L, 3L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
2L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 2L, 1L,
2L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 2L, 3L, 1L, 3L, 2L, 2L, 3L, 3L, 2L, 1L, 3L, 1L,
2L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 1L,
2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
3L, 1L, 2L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 2L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 2L, 3L,
1L, 2L, 3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 2L, 1L, 3L, 3L,
3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 1L, 3L,
1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 1L,
1L, 3L, 3L, 3L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 2L, 2L,
3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 2L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L,
3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 3L,
1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L,
1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L,
3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 2L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L,
3L, 1L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 2L, 2L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 2L, 1L, 3L, 3L, 1L,
2L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 2L, 1L, 3L, 3L, 2L, 1L, 1L,
2L, 3L, 3L, 1L, 2L, 2L, 2L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 2L, 1L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 2L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 1L,
3L, 3L, 3L, 1L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 2L, 3L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 2L,
1L, 1L, 2L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 2L,
3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 2L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
3L, 2L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 2L, 2L, 1L, 3L, 2L, 1L, 2L,
3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 2L, 1L,
2L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L,
1L, 1L, 3L, 1L, 2L, 1L, 3L, 2L, 3L, 2L, 2L, 3L, 1L, 3L, 2L,
3L, 1L, 1L, 3L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 2L, 1L, 1L, 1L,
3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 2L, 1L, 1L, 2L, 2L, 2L, 1L,
1L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L,
2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 2L, 1L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 3L,
2L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L,
3L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 2L,
2L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 2L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 1L,
1L, 2L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 2L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 3L, 2L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 3L, 2L, 3L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 2L, 3L, 1L,
1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L,
3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 2L,
3L, 1L, 3L, 3L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 3L, 2L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
1L, 3L, 1L, 2L, 1L, 3L, 1L, 2L, 1L, 1L, 2L, 3L, 1L, 1L, 1L,
1L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 2L,
3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 3L,
3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L, 2L, 3L, 1L, 3L, 1L, 1L,
1L, 2L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L,
1L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
2L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 1L, 2L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 1L,
1L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 2L, 1L, 3L, 2L, 2L, 3L, 3L,
3L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L,
3L, 2L, 3L, 2L, 2L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 2L, 3L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 2L, 2L, 3L, 1L,
3L, 2L, 1L, 3L, 2L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L,
3L, 2L, 1L, 3L, 2L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L,
1L, 3L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 3L, 2L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L,
3L, 3L, 3L, 2L, 2L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 3L,
2L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 2L, 1L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 2L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 2L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 3L,
1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L,
2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 2L, 3L, 3L, 3L, 3L, 2L, 3L,
3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 2L, 3L,
3L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 1L, 3L,
3L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 2L, 1L,
3L, 1L, 2L, 1L, 2L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 1L,
1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 2L, 3L,
3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 1L, 2L, 1L,
1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 2L, 1L,
1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 2L, 1L,
1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
3L, 2L, 3L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 2L, 1L, 3L, 1L, 2L,
2L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L), .Label = c("0",
"1", "2"), class = c("ordered", "factor")), u3 = structure(c(2L,
3L, 3L, 3L, 3L, 2L, 2L, 3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 2L, 3L,
1L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 2L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
2L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L,
1L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 2L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 2L, 3L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 2L, 2L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 2L,
3L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L,
3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 2L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L,
2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L,
1L, 3L, 2L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 2L, 3L, 3L, 3L,
3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
3L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 3L,
2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L,
1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L,
2L, 2L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L,
1L, 3L, 2L, 3L, 2L, 3L, 3L, 2L, 2L, 2L, 3L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 2L, 2L, 1L, 3L, 1L,
1L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 2L,
3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 2L, 3L,
1L, 3L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 2L, 3L,
2L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L,
1L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
3L, 1L, 3L, 3L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
2L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L,
3L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 3L,
3L, 2L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L,
2L, 1L, 2L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 2L, 2L, 3L, 1L, 3L,
1L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L, 1L, 3L,
3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 2L, 3L, 3L, 2L,
2L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L,
1L, 3L, 2L, 1L, 3L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 2L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 1L, 1L,
1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 3L,
2L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 1L, 2L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 2L,
2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
2L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 3L,
3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L,
1L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L,
3L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L,
2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 2L, 3L, 3L,
1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 2L,
1L, 1L, 3L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 1L, 1L,
2L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L,
3L, 2L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 3L, 3L, 3L, 2L, 3L, 2L, 3L, 3L, 1L, 1L, 1L,
2L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 2L,
1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L,
3L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 3L, 1L,
2L, 1L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L,
1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 2L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 2L,
3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 2L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 1L, 2L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 1L, 3L, 1L, 2L, 3L, 2L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L,
3L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 3L,
3L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 2L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 1L, 1L, 2L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 2L, 2L, 3L, 1L, 1L, 3L, 2L, 1L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L,
1L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 3L, 2L, 1L, 2L, 2L, 2L, 3L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 2L, 2L, 1L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 2L,
1L, 2L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 2L, 1L,
1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 3L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 1L, 1L,
1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 2L,
3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 2L, 3L, 1L,
3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 2L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 2L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L,
3L, 1L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 3L,
3L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 2L, 1L, 2L, 2L, 2L, 1L, 3L,
2L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 2L,
1L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 2L, 3L,
2L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 2L, 3L, 1L,
3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 2L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 2L, 1L,
1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 2L,
1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 2L, 1L,
3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 2L,
1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 2L, 3L,
1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L,
2L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 2L, 1L, 1L,
1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L,
3L, 3L, 2L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 2L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 3L,
3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 3L, 2L, 3L, 3L, 3L, 1L, 3L, 2L, 3L, 3L, 3L, 3L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 2L,
3L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 3L, 1L, 3L, 2L, 2L,
3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 2L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 2L, 3L, 2L, 1L, 1L,
3L, 3L, 1L, 3L, 1L, 2L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 1L, 1L,
2L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L,
3L, 1L, 3L, 2L, 3L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 3L,
1L, 2L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L,
1L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 3L, 1L, 1L, 1L,
3L, 2L, 1L, 1L, 2L, 3L, 3L, 2L, 3L, 2L, 2L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 1L,
1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 3L, 2L, 2L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 2L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 1L,
1L, 3L, 3L, 2L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 2L,
1L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L,
3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 1L,
2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 2L,
1L, 3L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 1L,
3L, 2L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 1L,
2L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L,
2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 3L, 2L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 2L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 3L, 3L, 3L,
1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 2L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 3L, 1L,
1L, 1L, 1L, 2L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 1L,
3L, 1L, 2L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 2L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L,
1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 2L, 1L, 1L,
3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L,
2L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 3L, 1L,
1L, 3L, 3L, 2L, 2L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 2L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 2L, 3L,
1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
1L, 1L, 1L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 1L, 2L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 3L, 3L,
3L, 2L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 1L, 2L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 3L, 3L, 3L, 1L, 2L,
3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 3L,
3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L,
1L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 3L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 2L,
1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L,
3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L,
3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 3L, 1L,
2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L,
1L, 3L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L,
2L, 3L, 2L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L,
1L, 2L, 2L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 3L, 3L, 2L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 3L, 2L, 1L,
3L, 3L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 2L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L,
3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 3L,
3L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 2L, 2L, 1L, 3L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 2L, 1L,
3L, 3L, 1L, 3L, 3L, 3L, 1L, 2L, 2L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L,
1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
2L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
2L, 2L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L,
3L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 3L,
3L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 3L,
1L, 3L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 1L,
2L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 3L,
3L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L,
1L, 2L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L,
2L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 3L,
3L, 1L, 1L, 3L, 3L, 3L, 2L, 2L, 2L, 3L, 1L, 2L, 2L, 2L, 1L,
2L, 3L, 3L, 2L, 3L, 2L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L,
3L, 2L, 3L, 2L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 2L, 1L, 2L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 1L, 2L, 3L, 1L, 3L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 1L,
2L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L,
2L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 1L,
3L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 2L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L,
3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
3L, 1L, 3L, 1L, 2L, 3L, 2L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L,
2L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 3L,
2L, 2L, 2L, 1L, 3L, 2L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 2L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 3L, 2L, 2L, 3L, 2L, 3L, 1L, 1L, 3L, 2L, 3L,
3L, 3L, 2L, 2L, 1L, 2L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 3L,
1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 3L, 1L, 1L, 3L, 2L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 2L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 2L, 3L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L,
1L, 2L, 1L, 2L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L,
3L, 3L, 3L, 1L), .Label = c("0", "1", "2"), class = c("ordered",
"factor")), u4 = structure(c(3L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 3L,
3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 2L, 3L, 2L, 1L, 3L, 2L, 1L, 2L, 3L, 3L, 1L, 3L, 2L, 3L,
3L, 2L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L,
1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 2L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 2L, 1L, 3L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L,
1L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 2L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L,
3L, 2L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 2L, 3L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 1L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 2L, 2L, 1L, 1L,
1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L,
3L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 2L,
3L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 3L, 1L, 1L,
2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 3L,
1L, 2L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L,
3L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L,
3L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L,
1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
2L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L,
3L, 1L, 3L, 1L, 2L, 2L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 2L,
1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 2L, 3L, 1L,
2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
2L, 1L, 2L, 2L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 2L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 2L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 2L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L, 2L,
3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 1L,
2L, 2L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 3L,
1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L,
3L, 2L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 2L,
1L, 3L, 2L, 1L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L,
1L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 2L,
3L, 1L, 2L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L,
2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 2L,
1L, 3L, 1L, 3L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L,
3L, 1L, 2L, 3L, 3L, 1L, 3L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 2L, 1L, 1L, 1L,
1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 2L, 3L, 3L, 1L,
2L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 3L,
1L, 2L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 2L, 3L,
3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L,
1L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L,
2L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 2L, 3L,
3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
1L, 2L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 2L, 3L, 2L, 2L,
3L, 1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 2L, 1L, 1L,
3L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L,
3L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 2L, 1L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 3L, 1L, 2L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L,
1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 3L,
1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 2L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 2L, 3L, 2L, 2L,
1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L,
3L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 1L, 2L, 1L, 3L, 3L,
3L, 1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L,
1L, 3L, 3L, 2L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 1L, 1L,
1L, 1L, 2L, 3L, 1L, 2L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 1L,
1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 2L, 2L, 3L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 2L, 2L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 2L, 1L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 2L, 3L,
1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L,
1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 3L,
1L, 1L, 1L, 1L, 2L, 2L, 3L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 3L,
3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 3L, 2L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 2L, 3L,
1L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 2L,
1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 2L,
2L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L,
1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 3L, 3L, 1L, 1L,
2L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L,
3L, 3L, 2L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 3L,
1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 1L, 1L,
3L, 3L, 2L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 3L, 1L,
3L, 1L, 2L, 1L, 2L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 3L, 1L, 3L,
2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 2L, 1L, 2L,
1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 3L, 1L, 3L, 2L, 3L, 1L,
3L, 1L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 1L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 3L, 2L, 3L, 1L, 3L, 3L,
1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
1L, 1L, 1L, 2L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
2L, 1L, 2L, 2L, 3L, 3L, 3L, 2L, 2L, 2L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L,
1L, 2L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L,
1L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 2L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 1L,
2L, 1L, 3L, 3L, 2L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 2L,
1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L,
1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 2L, 2L, 3L,
1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 3L, 3L, 3L, 3L, 3L, 2L,
2L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 3L,
3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 2L,
3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L,
3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 2L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 3L,
3L, 1L, 3L, 1L, 2L, 1L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 2L, 3L, 2L, 1L, 1L, 2L,
3L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 2L, 3L,
1L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 2L,
3L, 1L, 1L, 3L, 2L, 3L, 2L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 1L,
2L, 1L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L, 1L, 3L,
3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 2L, 3L,
3L, 1L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 2L, 3L, 3L, 3L, 1L, 1L,
2L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 3L, 1L,
2L, 2L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 2L, 3L, 1L, 1L, 3L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 3L,
3L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 2L, 1L, 1L, 2L, 3L, 3L,
2L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L,
1L, 1L, 1L, 1L, 3L, 2L, 3L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L,
2L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L,
3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 2L, 1L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 1L, 3L,
3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 1L, 2L,
3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 2L, 3L, 1L, 1L, 3L, 1L,
2L, 3L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 2L,
1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 2L, 3L, 3L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L,
2L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 2L, 3L, 3L, 1L,
3L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 2L, 1L, 2L, 1L, 3L, 1L, 1L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 2L, 3L, 1L, 1L, 3L,
3L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 2L, 3L, 2L, 3L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L,
1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 2L,
3L, 2L, 2L, 2L, 3L, 1L, 1L, 1L, 3L, 2L, 2L, 3L, 1L, 1L, 1L,
1L, 3L, 1L, 1L, 2L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 3L,
1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 1L,
3L, 2L, 3L, 2L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 2L,
3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 2L, 3L, 3L, 3L,
3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 3L, 2L,
3L, 1L, 3L, 3L, 1L, 1L, 3L, 2L, 1L, 3L, 1L, 3L, 1L, 1L, 1L,
1L, 3L, 2L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 2L, 1L, 1L,
3L, 2L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 1L,
2L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 1L, 1L,
2L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 1L,
3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L,
2L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L,
1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 2L, 3L, 2L, 1L, 3L,
1L, 1L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 3L,
2L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L,
3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L, 1L,
3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 1L, 2L, 2L, 1L, 1L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 2L, 1L, 2L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
3L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 2L, 2L, 2L, 2L, 3L, 1L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 3L, 3L, 1L,
1L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 2L,
3L, 1L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L, 2L, 3L,
2L, 1L, 2L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 3L, 1L, 2L, 1L, 1L,
1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 3L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 3L, 3L, 1L, 3L, 2L, 1L, 1L,
3L, 1L, 3L, 1L, 1L, 2L, 1L, 2L, 3L, 1L, 2L, 1L, 3L, 1L, 3L,
2L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 2L, 1L,
3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 1L, 3L, 2L, 3L, 3L,
3L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 2L, 1L, 1L,
1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L,
2L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L, 3L, 2L, 3L, 1L,
1L, 2L, 3L, 3L, 2L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 2L, 1L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L,
1L, 1L, 3L, 3L, 2L, 2L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L,
1L, 2L, 2L, 3L, 2L, 3L, 3L, 1L, 1L, 2L, 1L, 3L, 3L, 3L, 1L,
3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 3L, 1L, 3L,
3L, 1L, 2L, 1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 1L,
3L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 1L, 3L, 1L,
3L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 3L,
1L, 3L, 3L, 1L, 3L, 2L, 3L, 3L, 3L, 3L, 2L, 1L, 1L, 1L, 1L,
1L, 2L, 1L, 2L, 2L, 1L, 3L, 2L, 2L, 3L, 3L, 3L, 3L, 1L, 2L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
2L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 2L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 2L, 1L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L,
3L, 3L, 1L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L,
1L, 3L, 1L, 2L, 2L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 3L,
3L, 1L, 3L, 3L, 2L, 1L, 3L, 3L, 2L, 3L, 2L, 3L, 3L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 2L, 1L, 1L, 1L, 3L,
3L, 3L, 3L, 2L, 1L, 2L, 1L, 3L, 2L, 1L, 3L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 3L, 3L, 3L, 1L, 3L,
2L, 2L, 3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 1L,
3L, 1L, 3L, 1L, 3L, 2L, 2L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L,
2L, 2L, 1L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 3L, 3L, 2L, 3L,
1L, 1L, 1L, 3L, 1L, 3L, 2L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 1L,
2L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L,
1L, 3L, 3L, 3L, 2L, 3L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 3L,
1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 3L, 2L,
1L, 1L, 2L, 1L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 3L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 2L, 3L, 1L, 3L, 2L, 1L, 3L, 1L, 2L, 1L, 1L,
3L, 3L, 3L, 1L, 1L, 3L, 1L, 1L, 2L, 2L, 2L, 3L, 1L, 1L, 1L,
1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L,
1L, 3L, 3L, 3L, 1L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L, 1L,
3L, 3L, 1L, 1L, 1L, 1L, 2L, 3L, 3L, 3L, 1L, 2L, 3L, 3L, 3L,
1L, 2L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 2L, 3L,
1L, 1L, 3L, 1L, 1L, 3L, 3L, 2L, 1L, 1L, 2L, 1L, 3L, 3L, 2L,
1L, 1L, 3L, 3L, 1L, 2L, 3L, 2L, 1L, 1L, 3L, 1L, 3L, 3L, 3L,
1L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 1L, 2L,
1L, 3L, 1L, 2L, 3L, 1L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 1L, 3L, 3L, 3L,
1L, 3L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 2L, 3L, 3L, 1L, 1L, 3L,
1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 1L,
1L, 1L, 3L, 3L, 3L, 3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 2L,
3L, 1L, 1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 1L, 1L,
3L, 3L, 2L, 2L, 1L, 2L, 3L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L,
3L, 3L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 3L, 2L, 1L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 3L, 1L, 1L, 2L,
3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 2L, 3L, 1L, 3L,
3L, 1L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L,
1L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L, 3L, 3L,
1L, 3L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 3L, 3L, 1L, 3L, 2L, 1L,
3L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
1L, 3L, 3L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 3L, 1L,
3L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 3L, 2L, 3L, 2L, 1L, 1L,
3L, 3L, 1L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 3L, 3L,
3L, 1L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 1L, 3L, 3L,
3L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 3L, 2L, 3L, 1L, 3L,
1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 2L,
1L, 3L, 1L, 3L, 3L, 2L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 3L, 2L,
1L, 3L, 3L, 1L, 3L, 1L, 2L, 3L, 1L, 3L, 1L, 1L, 3L, 3L, 1L,
2L, 3L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 3L, 3L,
3L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 3L, 1L, 2L, 3L, 3L, 3L, 1L,
1L, 1L, 1L, 1L, 3L, 3L, 3L, 1L, 2L, 1L, 3L, 3L, 1L, 3L, 3L,
1L, 1L, 1L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 2L, 2L, 1L, 3L,
1L, 1L, 3L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 3L, 1L, 2L, 3L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 2L, 3L, 1L,
3L, 3L, 2L, 1L, 3L, 3L, 2L, 3L, 2L, 1L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 3L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 3L, 1L,
1L, 3L, 3L, 3L, 3L, 3L, 3L, 1L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
1L, 2L, 2L, 3L, 3L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 3L, 1L, 2L,
3L, 2L, 1L, 1L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 1L, 3L, 1L,
1L, 3L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 3L,
1L, 1L, 3L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L,
3L, 1L, 1L, 2L, 1L, 1L, 3L, 1L, 1L, 2L, 1L, 1L, 1L, 3L, 2L,
1L, 1L, 3L, 1L, 1L, 1L, 3L, 2L, 3L, 3L, 3L, 1L, 1L, 1L, 3L,
2L, 3L, 1L, 1L, 3L, 3L, 3L, 1L, 3L, 1L, 1L, 2L, 3L, 3L, 1L,
1L, 2L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 3L, 1L, 3L,
3L, 3L, 3L, 2L, 3L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 1L, 3L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 3L, 3L, 1L, 1L, 1L, 3L, 3L,
3L, 3L, 3L, 3L, 1L, 1L, 2L, 1L, 1L, 3L, 3L, 2L, 3L, 1L, 1L,
1L, 3L, 3L, 2L, 3L, 3L, 2L, 3L, 3L, 1L, 3L, 3L, 1L, 3L, 1L,
3L, 2L, 1L, 3L, 3L, 1L, 1L, 3L, 1L, 3L, 3L, 1L, 2L, 1L, 1L,
3L, 1L, 3L, 1L, 1L, 3L, 1L, 1L, 1L, 3L, 1L, 2L, 3L, 2L, 2L,
3L, 3L, 3L, 1L, 1L, 1L, 3L, 1L, 3L, 1L, 3L, 3L, 3L, 3L, 1L,
1L, 3L, 3L, 1L, 1L, 1L, 2L, 3L, 2L, 3L, 1L, 3L, 1L, 1L, 2L,
1L, 3L, 2L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 1L, 1L,
3L, 3L, 3L, 1L, 2L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 1L,
3L, 1L, 2L, 3L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L,
1L, 3L, 3L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 3L, 3L, 3L), .Label = c("0",
"1", "2"), class = c("ordered", "factor"))), row.names = c(NA,
-5000L), class = "data.frame")'
df <- eval(parse(text = tmp))
# Just thresholds
suppressWarnings({
res_mx <- tryCatch(run_mx(as_ram(
"u1 | t11*t1
u2 | t21*t1
u3 | t31*t1
u4 | t41*t1
u1 | t12*t2
u2 | t22*t2
u3 | t32*t2
u4 | t42*t2", data = df)), error = function(e) NULL)})
library(lavaan)
res_lv <- sem("u1 | t11*t1
u2 | t21*t1
u3 | t31*t1
u4 | t41*t1
u1 | t12*t2
u2 | t22*t2
u3 | t32*t2
u4 | t42*t2", data = df)
pars_lv <- parameterestimates(res_lv)
pars_lv$est[pars_lv$op == "|"]
pars_mx <- table_results(res_mx, columns = c("est", "matrix"))
expect_equivalent(
matrix(as.numeric(pars_mx$est[pars_mx$matrix == "Thresholds"]), nrow = 2, byrow = F),
matrix(round(pars_lv$est[pars_lv$op == "|"], 2), nrow = 2, byrow = T),
tolerance = 1e-4)
# Mixture model
suppressWarnings({
res_mx <- tryCatch({mx_mixture(
"u1 | t11{C}*t1
u2 | t21{C}*t1
u3 | t31{C}*t1
u4 | t41{C}*t1
u1 | t12{C}*t2
u2 | t22{C}*t2
u3 | t32{C}*t2
u4 | t42{C}*t2", classes = 2, data = df, run = FALSE)}, error = function(e){NULL})
res_mx <- tryCatch(mxTryHardOrdinal(res_mx), error = function(e){NULL})})
res_mx <- mxTryHardOrdinal(res_mx)
res_mx$expectation$scale <- "softmax"
tmp <- table_results(res_mx, columns=c("label", "est", "matrix"))
probs_mx <- class_prob(res_mx)
mat <- matrix(as.numeric(tmp$est[tmp$matrix == "Thresholds"]), ncol = 2, byrow = F)
mat <- mat[, order(probs_mx$sum.posterior$proportion)]
mat[,] <- pnorm(as.numeric(mat))
#tmp$est<-pnorm(tmp$est)
fit <- table_fit(res_mx)
# df_mp <- df
# df_mp[1:4] <- lapply(df, as.integer)
# res_mp <- mplusObject(VARIABLE = "categorical are u1-u4;
# CLASSES = c(2);",
# ANALYSIS = "type = MIXTURE;
# starts = 500 20",
# rdata = df_mp,
# modelout = "test.inp",
# run = 1L
# )
# dput(res_mp$results$summaries$LL, file = "clipboard")
# dput(res_mp$results$class_counts$modelEstimated$proportion, file = "clipboard")
# dput(matrix(res_mp$results$parameters$unstandardized$est[9:16], nrow = 2)),
# matrix(res_mp$results$parameters$unstandardized$est[1:8], nrow = 2)
# )[order(c(0.41442, 0.58558))], file = "clipboard")
# dput(cbind(
# res_mp$results$parameters$unstandardized$est[unlist(list(c(1:8), c(9:16))[order(res_mp$results$class_counts$modelEstimated$proportion)])]
# ), file = "clipboard")
# library(poLCA)
# res_po <- poLCA(cbind(u1, u2, u3, u4)~1,data = df, nclass = 2)
# res_po_thres <- do.call(rbind, lapply(res_po$probs, function(i){
# out <- t(i)
# rbind(qnorm(out[1,]),
# qnorm(colSums(out[1:2,])))
# }))
# res_po_thres <- as.matrix(res_po_thres[ , order(res_po$P)])
expect_failure(expect_equal(-19214.48, fit$LL))
expect_failure(expect_equivalent(sort(probs_mx$sum.posterior$proportion), sort(c(0.41442, 0.58558))))
expect_failure(expect_equivalent(
pnorm(res_mx[[c("class1", "class2")[order(sort(probs_mx$sum.posterior$proportion))[1]]]]$Thresholds$values),
pnorm(structure(c(-0.523, -0.002, -0.364, 0.102, 0.425, 0.894, 0.383,
0.872), .Dim = c(2L, 4L)))
))
})
}
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