typeofplace <- c(2, 2, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 3, 4, 4, 4, 2, 4, 4, 4, 4, 1, 4, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 2, 2, 2, 2, 2, 2, 4, 2, 2, 3, 4, 2, 3, 4, 1, 4, 4, 4, 2, 3, 3, 4, 1, 2, 3, 2, 1, 2, 1, 1, 1, 4, 4, 4, 4, 3, 4, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 4, 2, 2, 3, 4, 4, 2, 2, 4, 2, 2, 2, 1, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 2, 2, 4, 4, 1, 4, 4, 2, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 1, 1, 4, 2, 2, 2, 3, 2, 3, 3, 1, 4, 4, 4, 3, 3, 2, 3, 3, 4, 4, 4, 2, 2, 2, 4, 4, 4, 3, 3, 2, 1, 4, 4, 2, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 3, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 1, 3, 4, 4, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 1, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 1, 3, 3, 4, 4, 4, 3, 3, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 3, 4, 4, 2, 1, 1, 1, 4, 4, 2, 2, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 2, 4, 1, 1, 1, 1, 2, 4, 4, 4, 3, 4, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 1, 1, 4, 3, 2, 3, 2, 2, 2, 4, 4, 2, 4, 1, 2, 1, 2, 2, 2, 1, 4, 4, 4, 4, 2, 1, 4, 4, 4, 1, 1, 2, 1, 1, 3, 3, 3, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 1, 1, 2, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 3, 3, 2, 3, 4, 4, 3, 3, 4, 2, 1, 2, 1, 2, 4, 4, 4, 2, 2, 4, 2, 3, 3, 2, 4, 2, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 1, 4, 4, 4, 2, 4, 3, 2, 2, 4, 4, 4, 2, 2, 1, 3, 2, 2, 2, 2, 2, 4, 4, 2, 1, 4, 2, 4, 3, 2, 3, 3, 3, 3, 1, 4, 4, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 4, 4, 2, 3, 3, 3, 2, 4, 1, 3, 3, 1, 2, 4, 4, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 4, 3, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 2, 1, 3, 3, 2, 3, 3, 1, 1, 4, 1, 4, 3, 4, 4, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 3, 4, 1, 1, 2, 4, 3, 2, 4, 4, 4, 4, 1, 4, 3, 3, 3, 1, 4, 2, 2, 1, 4, 4, 2, 1, 1, 4, 4, 3, 3, 1, 2, 4, 2, 2, 1, 2, 3, 4, 4, 2, 1, 1, 4, 2, 3, 2, 4, 4, 4, 2, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 2, 1, 3, 3, 3, 2, 3, 4, 4, 3, 1, 4, 4, 2, 2, 3, 3, 1, 4, 2, 2, 4, 3, 3, 3, 4, 1, 4, 2, 2, 3, 1, 2, 2, 4, 4, 4, 2, 1, 3, 1, 2, 1, 1, 2, 1, 1, 3, 2, 4, 3, 3, 3, 1) state <- c(71, 71, 45, 49, 37, 14, 42, 42, 42, 42, 31, 31, 35, 51, 51, 31, 40, 40, 23, 71, 31, 51, 51, 51, 12, 42, 31, 49, 63, 51, 71, 71, 37, 37, 32, 23, 41, 41, 51, 51, 1, 33, 14, 14, 14, 14, 14, 14, 51, 71, 71, 14, 35, 71, 31, 45, 21, 49, 49, 43, 24, 42, 42, 33, 21, 14, 3, 52, 3, 71, 13, 13, 13, 24, 42, 31, 31, 13, 46, 14, 14, 21, 23, 71, 13, 13, 13, 13, 14, 34, 47, 49, 49, 32, 24, 24, 43, 33, 33, 14, 14, 47, 71, 71, 71, 71, 14, 14, 14, 14, 14, 34, 34, 25, 25, 24, 24, 31, 31, 31, 1, 47, 47, 47, 35, 35, 44, 54, 63, 63, 63, 51, 3, 43, 43, 22, 71, 71, 24, 51, 51, 51, 31, 62, 62, 42, 42, 42, 40, 40, 13, 13, 71, 71, 33, 14, 14, 14, 3, 3, 3, 3, 71, 49, 49, 49, 14, 37, 24, 13, 48, 46, 46, 46, 13, 12, 12, 34, 34, 34, 31, 51, 1, 52, 44, 44, 73, 23, 23, 23, 14, 14, 3, 21, 13, 13, 13, 13, 71, 71, 31, 31, 31, 42, 42, 42, 13, 23, 51, 51, 22, 71, 12, 12, 12, 12, 12, 14, 3, 3, 3, 23, 71, 13, 13, 13, 13, 13, 31, 44, 44, 44, 44, 44, 51, 51, 43, 14, 37, 37, 37, 24, 51, 51, 3, 31, 43, 66, 25, 21, 21, 21, 21, 21, 21, 71, 71, 13, 13, 13, 13, 13, 14, 14, 14, 71, 34, 25, 25, 25, 25, 51, 51, 51, 24, 13, 31, 45, 45, 1, 1, 35, 23, 23, 49, 49, 49, 33, 33, 33, 22, 37, 37, 37, 37, 37, 37, 32, 41, 24, 51, 13, 13, 13, 47, 47, 47, 47, 62, 62, 71, 43, 66, 66, 12, 12, 12, 14, 14, 3, 3, 3, 22, 22, 21, 22, 21, 21, 13, 13, 13, 13, 13, 13, 14, 44, 44, 12, 49, 24, 43, 71, 32, 32, 32, 73, 23, 33, 33, 33, 24, 24, 71, 44, 24, 43, 43, 43, 37, 1, 33, 52, 52, 24, 24, 24, 40, 40, 48, 23, 1, 1, 24, 43, 71, 51, 13, 43, 43, 66, 66, 66, 14, 14, 22, 23, 23, 23, 23, 71, 71, 14, 14, 31, 1, 1, 1, 35, 35, 23, 49, 49, 33, 44, 44, 51, 24, 43, 1, 1, 1, 31, 47, 47, 62, 42, 42, 40, 13, 13, 13, 13, 13, 23, 43, 12, 12, 14, 47, 47, 47, 21, 21, 21, 71, 71, 12, 13, 33, 73, 47, 23, 49, 3, 14, 14, 14, 14, 34, 34, 34, 51, 24, 51, 51, 51, 24, 24, 46, 46, 46, 14, 22, 71, 13, 1, 49, 1, 1, 47, 24, 13, 13, 31, 31, 23, 66, 52, 52, 3, 13, 13, 13, 14, 34, 34, 35, 35, 33, 33, 32, 47, 31, 24, 24, 24, 24, 23, 31, 13, 13, 23, 23, 54, 63, 63, 63, 51, 24, 24, 24, 24, 62, 40, 40, 23, 43, 43, 49, 33, 21, 55, 52, 42, 23, 14, 14, 73, 73, 71, 71, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 1, 13, 13, 13, 14, 1, 47, 49, 14, 71, 32, 62, 14, 46, 14, 71, 71, 33, 33, 63, 44, 44, 51, 51, 43, 41, 42, 42, 23, 47, 34, 51, 1, 1, 22, 22, 13, 13, 13, 31, 71, 12, 12, 24, 23, 49, 63, 44, 31, 73, 47, 62, 12, 12, 49, 49, 47, 21, 23, 13, 51, 1, 23, 51, 41, 41, 40, 40, 23, 52, 46, 24, 31, 1, 51, 43, 43, 43, 14, 21, 34, 34, 47, 23, 23, 71, 71, 71, 49, 42, 24, 41, 31, 31, 73, 73, 73, 42, 23, 49, 13, 47, 23, 33, 33, 44, 47, 3, 12, 12, 12, 12, 24, 71, 42, 13, 12, 12, 71, 13, 23, 23, 23, 33, 24, 24, 24, 23, 14, 3, 12, 12, 12, 12, 1, 13, 13, 13, 13, 54, 34, 47, 31, 31, 73, 13, 13, 13, 48, 71, 51, 35, 35, 44, 44, 43, 32, 31, 73, 62, 62, 43, 21, 23, 23, 14, 41, 13, 14, 23, 23, 49, 13, 31, 73, 43, 43, 31, 44, 40, 23, 23, 14, 42, 63, 71, 51, 31, 24, 33, 22, 14, 24, 47, 44, 51, 51, 51, 51, 71, 23, 1, 31, 47, 71, 51, 71, 3, 12, 51, 51, 12, 71, 14, 34, 24, 13, 13, 71, 71, 66, 12, 12, 21, 21, 47, 63, 63, 24, 71, 51, 47, 3, 13, 23, 66, 66, 46, 24, 22, 1, 13, 43, 43, 43, 43, 43, 12, 14, 47, 14, 71, 47, 31, 51, 1, 42, 31, 42, 13, 49, 44, 44, 24, 73, 42, 1, 71, 47, 23, 49, 71, 42, 42, 43, 46, 23, 44, 22, 71, 54, 22, 12, 41, 40, 49, 47, 71, 52, 42, 71, 49, 13, 34, 1, 71, 71, 23, 3, 31, 51, 13, 62, 13) region <- c(2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 4, 4, 1, 2, 2, 2, 2, 1, 3, 3, 2, 4, 1, 2, 2, 2, 2, 3, 4, 2, 2, 3, 3, 2, 4, 2, 2, 2, 2, 2, 2, 3, 4, 4, 2, 4, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 1, 2, 1, 4, 1, 4, 1, 1, 1, 2, 3, 2, 2, 2, 4, 2, 2, 1, 1, 4, 1, 1, 1, 1, 4, 1, 2, 1, 1, 3, 1, 1, 3, 4, 4, 2, 2, 2, 4, 4, 4, 1, 4, 4, 4, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 2, 2, 1, 2, 2, 1, 3, 3, 3, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 1, 1, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 2, 4, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 4, 2, 3, 3, 3, 2, 1, 1, 1, 2, 4, 1, 4, 1, 1, 2, 1, 1, 4, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 1, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 1, 4, 2, 2, 2, 4, 4, 2, 2, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 4, 4, 4, 1, 4, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 4, 4, 2, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 2, 1, 4, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 1, 4, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 3, 4, 2, 1, 1, 4, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 1, 2, 2, 1, 1, 2, 4, 4, 2, 3, 3, 2, 4, 1, 1, 4, 3, 2, 2, 2, 2, 2, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 2, 1, 4, 1, 1, 4, 4, 4, 1, 1, 2, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4, 1, 4, 1, 2, 1, 2, 1, 2, 2, 4, 4, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 4, 2, 4, 2, 4, 2, 2, 2, 1, 1, 2, 2, 2, 4, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 4, 1, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 4, 4, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 4, 4, 4, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 4, 2, 2, 4, 3, 3, 3, 3, 1, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 1, 2, 1, 1, 3, 2, 2, 1, 2, 2, 4, 4, 2, 1, 1, 2, 4, 2, 4, 3, 3, 4, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 1, 4, 4, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 3, 4, 1, 4, 1, 4, 4, 1, 2, 2, 4, 2, 4, 2, 1, 1, 4, 1, 1, 1, 1, 4, 4, 2, 1, 2, 2, 1, 2, 1) married <- c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0) education <- c(2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 3, 3, 1, 2, 3, 1, 2, 1, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 1, 2, 3, 1, 2, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 2, 1, 1, 2, 1, 2, 3, 3, 2, 1, 1, 1, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 1, 1, 2, 1, 3, 3, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 1, 1, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 2, 1, 2, 2, 2, 3, 2, 1, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 3, 3, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 1, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 1, 2, 2, 1, 3, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 3, 1, 2, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 3, 2, 1, 2, 2, 3, 2, 2, 1, 1, 3, 2, 2, 2, 3, 1, 1, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 3, 3, 3, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 3, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 3, 1, 2, 1, 2, 3, 2, 2, 1, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 2, 2, 2, 3, 1, 3, 1, 2, 1, 3, 1, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 3, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 3, 1, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 2, 1, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 2, 1, 3, 3, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 3, 2, 3) familyincome <- c(7, 8, 1, 3, 2, 4, 2, 3, 5, 1, 6, 1, 5, 1, 4, 3, 6, 7, 2, 6, 8, 2, 5, 6, 8, 2, 5, 5, 4, 2, 2, 6, 7, 6, 9, 3, 8, 3, 6, 5, 9, 8, 7, 1, 6, 7, 6, 4, 6, 10, 1, 3, 6, 9, 1, 10, 1, 3, 1, 2, 10, 8, 6, 7, 7, 6, 7, 10, 2, 2, 4, 9, 8, 4, 1, 7, 10, 2, 2, 8, 8, 7, 6, 10, 6, 4, 6, 6, 7, 9, 1, 7, 7, 3, 8, 5, 4, 5, 8, 5, 8, 1, 9, 4, 3, 7, 2, 8, 6, 4, 7, 2, 1, 6, 7, 6, 9, 5, 7, 2, 8, 8, 3, 3, 10, 7, 4, 2, 3, 6, 5, 6, 10, 7, 9, 9, 7, 5, 4, 5, 5, 2, 1, 7, 6, 10, 9, 6, 5, 4, 4, 4, 1, 5, 6, 6, 5, 6, 3, 5, 6, 6, 8, 4, 6, 3, 2, 2, 7, 4, 8, 2, 7, 3, 3, 10, 10, 3, 4, 5, 8, 3, 2, 6, 5, 6, 1, 4, 5, 4, 7, 8, 10, 6, 7, 3, 7, 7, 6, 8, 6, 8, 7, 2, 1, 2, 7, 2, 8, 9, 8, 7, 10, 5, 8, 7, 7, 6, 5, 7, 8, 8, 3, 7, 2, 4, 10, 1, 6, 5, 1, 2, 4, 8, 7, 7, 9, 4, 5, 8, 5, 7, 7, 6, 8, 4, 4, 5, 3, 10, 3, 7, 8, 7, 3, 8, 4, 6, 8, 9, 6, 6, 5, 2, 4, 5, 4, 7, 2, 3, 6, 2, 7, 7, 3, 5, 6, 9, 9, 5, 6, 8, 7, 5, 7, 6, 5, 5, 4, 5, 9, 7, 5, 6, 7, 6, 3, 8, 5, 2, 2, 10, 10, 9, 4, 6, 2, 1, 1, 5, 6, 4, 2, 2, 9, 7, 3, 9, 6, 6, 6, 6, 8, 7, 7, 8, 9, 7, 5, 8, 6, 9, 5, 5, 9, 1, 7, 8, 9, 6, 9, 10, 4, 1, 2, 6, 6, 8, 8, 8, 9, 8, 7, 2, 6, 9, 2, 6, 8, 6, 4, 6, 3, 8, 7, 6, 3, 5, 6, 6, 8, 3, 6, 3, 5, 2, 4, 10, 2, 2, 1, 4, 6, 2, 8, 10, 9, 10, 10, 9, 9, 6, 8, 7, 7, 9, 7, 7, 9, 6, 1, 7, 6, 2, 3, 7, 5, 9, 6, 8, 5, 6, 5, 8, 6, 9, 7, 4, 3, 4, 5, 3, 9, 2, 1, 10, 7, 1, 1, 6, 9, 7, 9, 4, 9, 2, 7, 8, 7, 5, 9, 6, 10, 8, 7, 8, 5, 6, 3, 4, 4, 1, 3, 8, 6, 7, 4, 8, 3, 1, 2, 5, 8, 8, 4, 4, 4, 6, 10, 5, 9, 6, 6, 1, 3, 5, 3, 4, 6, 7, 6, 9, 7, 5, 1, 6, 1, 7, 8, 8, 6, 1, 7, 2, 8, 9, 9, 10, 7, 4, 6, 9, 5, 3, 3, 9, 2, 10, 5, 2, 9, 7, 7, 5, 4, 4, 7, 8, 6, 7, 8, 8, 6, 2, 6, 3, 7, 6, 6, 7, 4, 2, 3, 6, 5, 6, 2, 3, 8, 6, 10, 10, 9, 7, 7, 9, 7, 8, 5, 9, 5, 6, 5, 6, 8, 1, 4, 6, 9, 2, 8, 1, 1, 8, 7, 6, 2, 3, 9, 10, 7, 5, 1, 7, 8, 3, 7, 8, 7, 4, 7, 6, 7, 1, 10, 10, 4, 8, 5, 3, 9, 4, 5, 3, 6, 6, 5, 8, 9, 10, 6, 6, 7, 6, 8, 5, 3, 3, 9, 5, 5, 9, 4, 7, 5, 7, 7, 9, 2, 8, 1, 6, 7, 5, 7, 6, 6, 7, 9, 9, 7, 6, 9, 3, 6, 7, 6, 7, 7, 3, 6, 5, 9, 9, 7, 8, 6, 5, 5, 9, 9, 6, 9, 6, 4, 7, 7, 6, 8, 8, 6, 10, 5, 7, 5, 3, 9, 2, 6, 6, 5, 9, 7, 6, 9, 8, 8, 6, 1, 8, 5, 6, 1, 8, 2, 6, 7, 8, 3, 4, 7, 5, 9, 5, 6, 9, 4, 5, 6, 5, 8, 6, 6, 8, 9, 8, 2, 8, 2, 9, 8, 2, 2, 6, 6, 4, 8, 4, 6, 6, 2, 5, 8, 5, 3, 8, 7, 4, 3, 5, 6, 6, 8, 7, 8, 9, 8, 6, 6, 2, 2, 9, 1, 9, 8, 7, 3, 6, 6, 5, 6, 10, 8, 7, 2, 6, 2, 8, 10, 4, 5, 2, 8, 6, 6, 4, 7, 7, 3, 6, 9, 5, 1, 1, 7, 9, 7, 4, 4, 6, 3, 5, 5, 5, 2, 2, 4, 7, 10, 10, 7, 5, 7, 8, 6, 9, 7, 7, 8, 2, 1, 7, 10, 1, 1, 4, 7, 9, 6, 4, 6, 8, 8, 5, 9, 9, 3, 8, 7, 1, 8, 6, 7, 9, 8, 4, 5, 2, 2, 10, 4, 10, 5, 7, 8, 8, 10, 3, 7, 7, 6, 5, 4, 9, 6, 6) seedebates <- c(2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2) efficacy <- c(3, 5, 3, 2, 4, 5, 4, 1, 2, 2, 4, 3, 4, 2, 4, 3, 1, 3, 4, 3, 3, 2, 4, 4, 4, 2, 3, 4, 1, 1, 4, 4, 3, 5, 5, 2, 5, 4, 3, 4, 3, 3, 3, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 2, 3, 3, 2, 3, 2, 5, 5, 2, 3, 4, 3, 4, 3, 5, 4, 2, 2, 5, 3, 4, 2, 4, 4, 4, 1, 5, 2, 2, 4, 5, 2, 1, 4, 3, 4, 3, 1, 3, 2, 4, 4, 2, 4, 5, 4, 4, 5, 1, 4, 2, 2, 3, 1, 5, 5, 3, 4, 2, 3, 4, 3, 3, 5, 3, 3, 3, 2, 4, 3, 1, 4, 4, 1, 1, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 1, 3, 3, 5, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 2, 4, 3, 4, 2, 3, 4, 5, 4, 1, 1, 4, 4, 4, 5, 3, 4, 3, 2, 1, 1, 5, 2, 3, 3, 4, 4, 4, 2, 4, 4, 4, 3, 1, 1, 3, 5, 3, 3, 2, 3, 1, 1, 4, 5, 3, 4, 4, 2, 4, 3, 2, 4, 4, 3, 3, 3, 2, 4, 3, 3, 2, 2, 2, 3, 1, 4, 3, 1, 1, 1, 1, 4, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 1, 3, 3, 3, 4, 2, 4, 2, 4, 4, 5, 4, 2, 2, 5, 3, 4, 4, 3, 5, 3, 4, 1, 3, 1, 3, 1, 3, 4, 2, 3, 3, 4, 4, 1, 2, 3, 4, 4, 1, 1, 2, 1, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 4, 5, 5, 3, 2, 4, 1, 2, 2, 2, 3, 4, 2, 3, 5, 3, 2, 4, 3, 1, 1, 5, 3, 3, 3, 4, 5, 4, 3, 2, 2, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 3, 2, 4, 2, 3, 3, 4, 1, 4, 4, 4, 3, 1, 3, 4, 2, 4, 5, 4, 3, 2, 3, 4, 4, 1, 1, 3, 3, 4, 4, 2, 4, 2, 4, 3, 2, 4, 4, 2, 2, 3, 3, 3, 3, 1, 3, 4, 5, 4, 2, 3, 2, 3, 4, 5, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 4, 1, 1, 4, 5, 3, 1, 1, 3, 5, 3, 1, 4, 4, 3, 3, 5, 2, 1, 5, 4, 4, 1, 2, 1, 2, 5, 1, 3, 5, 4, 5, 2, 4, 3, 3, 3, 3, 1, 3, 4, 4, 4, 2, 4, 2, 4, 3, 2, 4, 5, 3, 1, 1, 1, 4, 5, 5, 3, 5, 3, 1, 4, 4, 4, 4, 4, 2, 3, 3, 1, 4, 4, 4, 3, 5, 4, 4, 3, 1, 1, 4, 3, 4, 4, 3, 3, 2, 3, 5, 4, 5, 3, 4, 2, 5, 4, 3, 1, 3, 3, 3, 5, 3, 4, 3, 4, 2, 1, 2, 5, 4, 3, 4, 3, 3, 4, 2, 4, 2, 4, 5, 4, 3, 1, 3, 4, 4, 3, 4, 3, 3, 4, 1, 2, 5, 4, 4, 4, 3, 4, 5, 1, 5, 5, 2, 3, 4, 5, 1, 2, 4, 5, 3, 3, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 4, 2, 3, 3, 5, 4, 3, 5, 5, 5, 2, 3, 2, 5, 4, 3, 4, 2, 4, 3, 4, 3, 4, 5, 4, 5, 2, 4, 5, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 2, 3, 1, 5, 1, 2, 1, 3, 2, 5, 1, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 1, 5, 1, 5, 4, 3, 5, 3, 5, 4, 2, 3, 4, 5, 4, 4, 3, 5, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 1, 2, 5, 4, 4, 4, 3, 4, 1, 4, 3, 2, 1, 4, 2, 5, 5, 3, 5, 3, 5, 4, 3, 4, 4, 2, 4, 4, 2, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 2, 4, 5, 4, 4, 2, 3, 3, 3, 1, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 2, 1, 4, 1, 2, 3, 3, 4, 3, 4, 5, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 1, 3, 3, 4, 5, 5, 3, 4, 3, 4, 3, 4, 2, 1, 4, 2, 2, 3, 3, 3, 3, 4, 3, 3, 5, 5, 4, 2, 3, 4, 5, 3, 3, 5, 4, 2, 1, 3, 5, 1, 3, 5, 3, 4, 3, 2, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 1, 3, 4, 4, 5, 3, 4, 4, 5, 2, 1, 3, 3, 5, 4, 2, 5, 3, 4, 4, 5, 3, 3) involvement <- c(3, 2, 4, 3, 1, 3, 3, 2, 5, 5, 1, 3, 2, 4, 1, 3, 6, 2, 6, 3, 3, 5, 2, 2, 6, 5, 4, 3, 3, 5, 3, 1, 4, 1, 1, 4, 1, 1, 3, 1, 1, 6, 2, 5, 2, 2, 3, 5, 2, 1, 1, 5, 6, 3, 1, 4, 4, 3, 1, 8, 3, 3, 4, 3, 3, 4, 3, 1, 2, 2, 6, 2, 3, 5, 2, 3, 1, 3, 4, 3, 8, 4, 3, 3, 3, 6, 2, 1, 6, 3, 8, 3, 8, 2, 3, 8, 5, 1, 2, 4, 3, 6, 2, 3, 3, 3, 2, 2, 5, 8, 6, 3, 1, 3, 2, 2, 2, 8, 3, 3, 1, 2, 2, 6, 1, 3, 5, 5, 8, 3, 3, 6, 1, 4, 3, 1, 4, 5, 1, 2, 1, 2, 5, 3, 1, 3, 3, 1, 3, 4, 1, 2, 2, 3, 6, 2, 8, 3, 3, 1, 5, 1, 3, 3, 3, 3, 4, 4, 5, 3, 3, 4, 3, 1, 2, 1, 1, 1, 4, 5, 5, 3, 6, 3, 6, 3, 5, 4, 3, 4, 3, 8, 3, 3, 2, 6, 5, 8, 1, 1, 1, 3, 1, 8, 3, 4, 3, 4, 3, 3, 1, 2, 5, 6, 5, 1, 4, 3, 2, 4, 2, 3, 3, 1, 2, 8, 4, 8, 3, 3, 3, 6, 4, 6, 2, 6, 1, 8, 1, 3, 5, 2, 1, 3, 3, 6, 2, 6, 1, 1, 3, 5, 5, 1, 5, 1, 1, 3, 1, 2, 1, 2, 3, 5, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 3, 6, 1, 4, 1, 1, 2, 2, 1, 3, 1, 6, 6, 3, 3, 5, 4, 3, 4, 6, 4, 3, 6, 3, 5, 3, 2, 2, 1, 3, 8, 1, 3, 2, 5, 8, 1, 5, 4, 4, 3, 5, 8, 1, 3, 3, 5, 3, 3, 8, 4, 5, 2, 1, 5, 3, 1, 2, 4, 3, 4, 4, 4, 3, 4, 1, 3, 3, 5, 2, 4, 2, 1, 2, 3, 2, 3, 2, 1, 3, 3, 2, 3, 2, 2, 3, 1, 8, 3, 1, 3, 4, 5, 2, 2, 1, 1, 6, 4, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 4, 4, 8, 1, 1, 6, 3, 3, 3, 3, 4, 2, 3, 3, 3, 5, 3, 2, 8, 1, 4, 3, 4, 2, 7, 3, 5, 3, 2, 3, 3, 4, 3, 3, 7, 5, 4, 6, 2, 2, 6, 6, 1, 1, 3, 3, 4, 2, 4, 3, 3, 2, 1, 3, 2, 6, 3, 3, 5, 3, 2, 6, 4, 3, 5, 5, 3, 2, 8, 6, 3, 3, 1, 3, 3, 6, 8, 8, 4, 3, 2, 3, 4, 2, 3, 6, 1, 1, 4, 6, 4, 2, 2, 6, 4, 8, 3, 4, 2, 5, 5, 4, 3, 3, 1, 1, 3, 3, 2, 3, 8, 6, 4, 3, 3, 3, 2, 6, 5, 1, 5, 6, 5, 8, 2, 1, 3, 3, 4, 3, 2, 6, 4, 3, 6, 3, 2, 1, 1, 1, 2, 5, 3, 1, 1, 4, 1, 5, 8, 3, 3, 2, 2, 1, 1, 1, 8, 4, 2, 2, 1, 3, 3, 4, 1, 5, 2, 2, 8, 3, 3, 3, 6, 5, 4, 2, 3, 1, 3, 1, 1, 5, 3, 3, 3, 4, 1, 3, 3, 4, 2, 4, 1, 2, 4, 1, 1, 1, 3, 1, 2, 1, 1, 2, 3, 5, 3, 1, 3, 2, 1, 2, 3, 3, 5, 3, 1, 3, 2, 2, 1, 2, 4, 8, 8, 2, 3, 3, 3, 4, 3, 3, 1, 3, 3, 3, 1, 3, 2, 3, 1, 3, 3, 1, 1, 1, 3, 3, 8, 4, 4, 3, 1, 1, 4, 4, 2, 4, 3, 3, 2, 2, 1, 2, 2, 5, 3, 1, 1, 1, 1, 1, 5, 3, 2, 5, 4, 2, 2, 2, 3, 3, 1, 1, 5, 2, 6, 2, 2, 4, 3, 3, 2, 2, 1, 2, 3, 5, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 3, 3, 5, 2, 4, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 5, 5, 1, 7, 8, 1, 1, 3, 2, 2, 3, 2, 6, 2, 3, 4, 3, 3, 6, 1, 6, 4, 3, 3, 4, 2, 4, 6, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 3, 4, 2, 3, 5, 5, 2, 1, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 1, 4, 4, 2, 5, 4, 8, 3, 5, 5, 3, 4, 6, 1, 1, 4, 3, 1, 1, 3, 5, 3, 5, 1, 7, 3, 2, 1, 5, 8, 3, 1, 8, 2, 2, 2, 2, 5, 5, 2, 2, 1, 1, 2, 1, 1, 5, 2, 1, 2, 1, 4, 2, 4, 5, 3, 6, 2, 3, 2, 4, 5, 2, 1, 1, 4, 8, 6, 6, 3, 4, 2, 4, 3, 5, 6, 1, 3, 2) predict <- c(1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 3, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1) close <- c(2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 1, 1, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 1, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 2, 4, 4, 4, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 1, 2, 3, 3, 3, 3, 3, 4, 2, 3, 1, 3, 3, 4, 4, 3, 3, 1, 3, 2, 2, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 4, 3, 2, 3, 2, 4, 3, 2, 3, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 1, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 4, 3, 4, 2, 2, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 1, 2, 1, 1, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 1, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 1, 3, 3, 3, 3, 4, 3, 3, 1, 3, 3, 2, 4, 3, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 3, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 1, 4, 3, 4, 4, 3, 2, 4, 3, 4, 3, 4, 4, 3, 1, 4, 2, 4, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 2, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 3, 3, 4, 3, 3, 1, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 4, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 4, 3, 1, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 4, 3, 2, 3, 3, 2, 3, 4, 3, 1) importance <- c(1, 2, 2, 2, 1, 2, 1, 2, 2, 5, 1, 2, 2, 1, 1, 2, 4, 2, 4, 2, 2, 2, 2, 2, 4, 5, 4, 2, 2, 5, 3, 1, 4, 1, 1, 1, 1, 1, 2, 1, 1, 4, 2, 2, 2, 4, 2, 2, 2, 1, 1, 5, 4, 1, 1, 1, 1, 1, 1, 5, 1, 5, 4, 2, 1, 4, 1, 1, 4, 2, 4, 2, 1, 5, 2, 2, 1, 2, 4, 1, 5, 1, 1, 1, 1, 4, 2, 1, 4, 1, 5, 5, 5, 2, 1, 5, 5, 1, 2, 4, 1, 4, 2, 1, 2, 2, 2, 2, 5, 5, 4, 1, 1, 1, 4, 2, 2, 5, 2, 1, 1, 2, 2, 4, 1, 2, 2, 2, 5, 2, 2, 4, 1, 4, 1, 1, 4, 2, 1, 2, 1, 2, 2, 2, 1, 5, 1, 1, 1, 4, 1, 2, 4, 1, 4, 2, 5, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 5, 2, 2, 4, 2, 1, 2, 1, 1, 1, 4, 5, 2, 2, 4, 1, 4, 2, 2, 4, 2, 4, 5, 5, 2, 1, 2, 4, 2, 5, 1, 1, 1, 1, 1, 5, 1, 4, 1, 1, 2, 2, 1, 4, 2, 4, 5, 1, 4, 1, 4, 4, 2, 1, 3, 1, 4, 5, 1, 5, 1, 1, 3, 4, 1, 4, 2, 4, 1, 5, 1, 1, 5, 2, 1, 1, 1, 4, 2, 4, 1, 1, 2, 2, 5, 1, 2, 1, 1, 2, 1, 4, 1, 4, 2, 5, 2, 4, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 1, 4, 1, 1, 2, 4, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 4, 4, 4, 2, 4, 2, 5, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 5, 1, 2, 4, 4, 1, 5, 5, 1, 1, 2, 2, 5, 2, 5, 4, 2, 2, 1, 5, 2, 1, 2, 4, 2, 4, 1, 4, 1, 1, 1, 2, 1, 2, 4, 4, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 5, 2, 1, 1, 4, 2, 2, 2, 1, 1, 4, 4, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 5, 1, 1, 4, 1, 2, 2, 2, 4, 2, 2, 5, 1, 5, 2, 2, 5, 1, 1, 2, 4, 4, 4, 2, 5, 2, 2, 2, 2, 1, 1, 2, 4, 2, 4, 4, 2, 2, 4, 4, 1, 1, 2, 1, 4, 2, 1, 1, 1, 4, 1, 1, 2, 4, 2, 1, 5, 1, 2, 4, 4, 5, 5, 5, 2, 2, 5, 4, 2, 1, 1, 2, 2, 4, 5, 5, 4, 1, 4, 2, 4, 2, 1, 4, 1, 1, 4, 4, 4, 2, 2, 4, 4, 5, 1, 4, 2, 5, 2, 4, 2, 2, 1, 1, 1, 2, 2, 2, 5, 4, 1, 2, 2, 1, 2, 4, 5, 1, 2, 4, 2, 5, 2, 1, 2, 2, 4, 1, 2, 4, 4, 2, 4, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 4, 1, 2, 5, 1, 1, 2, 2, 1, 1, 1, 5, 4, 4, 4, 1, 1, 1, 4, 1, 2, 2, 2, 5, 2, 1, 2, 4, 5, 4, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 2, 1, 4, 4, 1, 2, 4, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 5, 5, 1, 2, 2, 1, 2, 2, 1, 5, 2, 1, 2, 2, 2, 1, 2, 1, 5, 5, 2, 2, 1, 1, 4, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 3, 2, 1, 1, 4, 1, 2, 4, 1, 1, 2, 4, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 5, 1, 2, 2, 4, 2, 2, 2, 2, 2, 1, 1, 5, 2, 4, 2, 2, 4, 1, 2, 2, 2, 1, 4, 5, 2, 1, 4, 2, 4, 1, 2, 1, 2, 2, 2, 2, 4, 2, 2, 5, 2, 4, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 5, 5, 1, 5, 5, 1, 1, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 1, 4, 1, 4, 4, 2, 2, 1, 2, 2, 4, 2, 4, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 5, 5, 4, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 5, 2, 2, 2, 2, 4, 4, 1, 1, 4, 2, 1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 2, 5, 2, 1, 5, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 4, 2, 4, 5, 5, 4, 2, 1, 2, 4, 5, 2, 1, 1, 4, 5, 4, 4, 1, 4, 2, 4, 2, 2, 4, 1, 1, 4) partyid <- c(1, 1, 2, 1, 1, 5, 1, 5, 1, 6, 2, 1, 7, 1, 7, 7, 1, 1, 2, 2, 2, 7, 1, 2, 1, 2, 3, 2, 6, 1, 4, 2, 2, 7, 6, 1, 2, 1, 5, 7, 7, 3, 1, 2, 2, 3, 7, 2, 1, 1, 7, 5, 4, 2, 7, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 3, 2, 5, 4, 1, 5, 3, 2, 5, 1, 4, 6, 6, 2, 6, 1, 1, 2, 6, 1, 3, 5, 1, 6, 2, 2, 4, 2, 7, 7, 1, 2, 7, 1, 1, 1, 2, 7, 1, 2, 1, 7, 1, 6, 2, 5, 6, 6, 4, 7, 7, 1, 6, 4, 7, 7, 6, 5, 1, 1, 5, 7, 2, 3, 5, 2, 2, 7, 6, 1, 5, 1, 1, 7, 1, 1, 1, 6, 2, 2, 2, 2, 1, 7, 5, 1, 2, 5, 4, 6, 2, 2, 2, 1, 4, 5, 5, 7, 2, 2, 2, 5, 6, 2, 1, 2, 2, 2, 1, 7, 7, 6, 7, 2, 5, 1, 7, 2, 3, 1, 2, 6, 1, 6, 6, 2, 2, 1, 2, 4, 1, 1, 4, 1, 3, 4, 5, 1, 1, 7, 4, 7, 6, 4, 1, 1, 3, 2, 2, 3, 5, 4, 6, 1, 3, 3, 1, 1, 2, 1, 1, 7, 6, 7, 2, 2, 2, 2, 2, 2, 4, 2, 2, 7, 7, 2, 1, 1, 2, 6, 7, 1, 2, 1, 7, 2, 1, 6, 3, 6, 1, 7, 2, 2, 2, 2, 1, 6, 2, 2, 6, 7, 6, 1, 1, 5, 7, 2, 7, 1, 2, 6, 2, 2, 6, 7, 6, 2, 7, 1, 2, 2, 3, 5, 2, 3, 2, 6, 1, 2, 2, 2, 7, 1, 7, 7, 5, 7, 7, 2, 1, 2, 1, 2, 2, 1, 6, 1, 2, 6, 6, 3, 7, 7, 1, 2, 5, 1, 4, 6, 7, 6, 2, 1, 1, 1, 2, 1, 5, 2, 2, 1, 1, 3, 3, 6, 2, 6, 1, 5, 5, 1, 7, 1, 2, 4, 4, 7, 2, 2, 3, 1, 1, 7, 1, 7, 1, 6, 2, 7, 3, 4, 6, 1, 7, 5, 1, 1, 1, 2, 2, 2, 1, 7, 1, 1, 1, 6, 7, 3, 2, 6, 5, 6, 7, 6, 2, 2, 4, 4, 4, 3, 6, 2, 3, 4, 4, 4, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 6, 5, 2, 1, 3, 6, 7, 6, 2, 7, 7, 6, 7, 1, 1, 1, 7, 3, 5, 3, 1, 7, 7, 2, 5, 1, 4, 1, 1, 7, 6, 2, 6, 1, 6, 6, 4, 2, 3, 2, 1, 6, 6, 1, 1, 1, 2, 7, 3, 2, 6, 2, 2, 3, 1, 5, 7, 7, 2, 7, 1, 6, 2, 6, 1, 4, 7, 6, 1, 4, 1, 7, 6, 1, 2, 3, 7, 1, 1, 2, 1, 2, 1, 4, 6, 6, 6, 1, 6, 4, 4, 6, 5, 6, 6, 6, 2, 2, 7, 2, 5, 6, 3, 1, 1, 1, 3, 7, 2, 5, 2, 6, 1, 2, 7, 6, 1, 3, 1, 1, 7, 1, 1, 3, 1, 4, 5, 7, 1, 7, 7, 2, 7, 2, 7, 1, 2, 4, 6, 4, 7, 2, 2, 5, 6, 7, 6, 1, 1, 2, 4, 1, 7, 2, 6, 6, 7, 1, 6, 4, 4, 5, 4, 6, 4, 7, 2, 3, 6, 6, 7, 7, 2, 4, 1, 5, 1, 1, 2, 6, 4, 2, 2, 2, 7, 1, 7, 1, 2, 4, 4, 2, 6, 1, 7, 5, 2, 1, 3, 2, 4, 2, 5, 2, 7, 7, 1, 1, 6, 4, 1, 4, 1, 7, 7, 2, 2, 7, 1, 6, 5, 1, 3, 6, 1, 6, 1, 7, 2, 5, 1, 7, 1, 4, 5, 6, 7, 7, 3, 1, 6, 2, 4, 4, 2, 1, 7, 1, 2, 6, 7, 6, 6, 5, 6, 6, 1, 1, 1, 1, 7, 2, 4, 1, 6, 3, 4, 5, 2, 2, 7, 3, 3, 5, 7, 2, 1, 2, 6, 6, 2, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 4, 5, 2, 4, 7, 1, 1, 1, 6, 2, 1, 2, 2, 1, 1, 7, 4, 6, 2, 2, 5, 5, 1, 1, 1, 2, 7, 1, 3, 6, 2, 2, 4, 6, 7, 5, 6, 7, 2, 7, 7, 2, 2, 7, 7, 7, 2, 6, 1, 4, 7, 7, 6, 2, 1, 2, 7, 7, 6, 7, 5, 6, 1, 6, 1, 2, 1, 1, 1, 4, 6, 2, 1, 6, 7, 7, 5, 2, 6, 7, 7, 4, 6, 5, 2, 4, 2, 6, 7, 2, 1, 3, 2, 7, 4, 6, 4, 5, 7, 6, 5, 1, 7, 7, 6, 7, 7, 2, 3, 2, 2, 1, 6, 7, 4, 3, 4, 1, 2, 2, 7, 2, 2, 7, 1, 2, 7, 4, 3, 3, 2, 5, 3, 5, 4, 3, 2, 7, 2, 3) willvote <- c(2, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 3, 6, 2, 2, 1, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 4, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 2, 2, 2, 7, 1, 6, 3, 1, 1, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 5, 2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 6, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 6, 2, 2, 2, 2, 2, 2, 2, 1, 7, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 6, 1, 1, 2, 2, 1, 2, 7, 4, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 1, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 3, 2, 6, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 6, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 7, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 1, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 6, 2, 1, 1, 1, 1, 6, 2, 2, 2, 6, 1, 2, 2, 2, 2, 6, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 7, 2, 2, 2, 1, 1, 2, 2, 2, 2, 3, 6, 2, 2, 2, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 6, 1, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 6, 2, 2, 2, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 7, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 7, 7, 2, 2, 2, 2, 6, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 6, 7, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 1, 1, 6, 2, 2, 2, 1, 2, 2, 6, 2, 6, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 1, 2, 2, 6, 4, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 6, 6, 6, 6, 2, 6, 2, 6, 2, 2, 2, 2, 5, 7, 7, 2, 1, 1, 1, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 6, 2, 2, 2, 1, 2, 1, 2, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 1, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 6, 6, 2, 6, 5, 6, 2, 2, 2) sex <- c(1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1) race <- c(0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0) age <- c(32, 47, 50, 67, 68, 39, 69, 59, 49, 56, 32, 76, 69, 81, 63, 36, 32, 44, 68, 55, 45, 30, 29, 23, 47, 63, 28, 24, 65, 69, 75, 43, 32, 59, 50, 76, 66, 65, 57, 37, 61, 24, 36, 40, 27, 61, 35, 66, 29, 38, 59, 71, 30, 53, 67, 32, 42, 65, 82, 39, 53, 41, 34, 27, 34, 48, 42, 45, 64, 72, 39, 44, 54, 30, 81, 29, 52, 53, 29, 38, 28, 58, 42, 57, 43, 39, 38, 43, 58, 38, 45, 30, 35, 66, 44, 39, 74, 38, 34, 43, 44, 61, 52, 73, 53, 37, 66, 47, 60, 43, 51, 68, 83, 30, 60, 64, 41, 42, 31, 53, 73, 58, 63, 53, 42, 39, 63, 45, 55, 56, 44, 29, 48, 34, 36, 67, 42, 46, 66, 37, 62, 73, 73, 53, 65, 29, 51, 55, 45, 40, 62, 74, 75, 66, 39, 62, 48, 34, 77, 75, 54, 52, 48, 62, 33, 54, 71, 64, 38, 59, 37, 56, 38, 39, 67, 63, 31, 78, 33, 82, 55, 74, 68, 48, 50, 42, 73, 75, 33, 24, 44, 44, 66, 27, 56, 31, 51, 52, 34, 28, 31, 32, 39, 56, 75, 37, 46, 74, 57, 51, 28, 27, 25, 28, 29, 32, 40, 52, 74, 72, 80, 55, 56, 50, 30, 57, 71, 68, 29, 40, 80, 52, 39, 37, 32, 37, 45, 34, 38, 55, 67, 59, 32, 60, 26, 73, 87, 42, 68, 44, 71, 76, 65, 23, 79, 40, 67, 31, 27, 37, 55, 59, 44, 53, 53, 64, 34, 37, 61, 71, 46, 79, 33, 56, 71, 74, 44, 33, 46, 57, 67, 40, 49, 27, 42, 49, 42, 62, 60, 31, 58, 35, 31, 38, 34, 45, 65, 37, 50, 80, 81, 44, 34, 65, 51, 50, 48, 75, 87, 58, 46, 54, 83, 44, 56, 39, 72, 33, 28, 51, 44, 37, 54, 45, 41, 37, 29, 47, 31, 49, 28, 42, 58, 55, 43, 56, 80, 46, 36, 45, 48, 47, 46, 72, 58, 31, 47, 56, 45, 34, 54, 28, 45, 82, 36, 41, 67, 55, 30, 59, 67, 42, 38, 31, 55, 29, 54, 43, 59, 47, 58, 26, 31, 44, 35, 20, 58, 35, 66, 63, 52, 62, 62, 75, 42, 60, 65, 58, 37, 51, 52, 49, 41, 36, 40, 40, 31, 63, 45, 45, 77, 54, 52, 67, 26, 48, 50, 36, 24, 26, 62, 32, 53, 50, 60, 47, 31, 56, 44, 42, 69, 73, 44, 69, 52, 56, 49, 82, 76, 59, 42, 47, 49, 64, 63, 56, 48, 37, 39, 53, 37, 46, 70, 54, 80, 47, 57, 61, 70, 72, 49, 56, 37, 38, 28, 23, 61, 56, 61, 69, 51, 48, 40, 38, 45, 68, 48, 47, 46, 47, 35, 46, 55, 81, 69, 44, 43, 53, 39, 53, 51, 32, 40, 49, 53, 46, 74, 54, 54, 33, 52, 72, 65, 74, 52, 51, 31, 54, 41, 25, 54, 34, 60, 38, 45, 52, 68, 61, 65, 41, 53, 25, 48, 30, 42, 51, 52, 40, 51, 36, 62, 59, 64, 24, 46, 48, 34, 53, 57, 57, 52, 79, 54, 60, 45, 45, 72, 42, 34, 62, 45, 51, 53, 34, 43, 48, 44, 46, 36, 40, 34, 29, 37, 64, 46, 47, 34, 31, 56, 63, 55, 60, 75, 57, 48, 32, 44, 45, 43, 51, 46, 57, 70, 41, 38, 30, 38, 46, 42, 37, 43, 35, 40, 77, 46, 44, 62, 37, 59, 33, 43, 30, 36, 74, 38, 48, 40, 54, 50, 49, 33, 27, 58, 44, 30, 40, 31, 30, 34, 42, 39, 47, 41, 36, 44, 44, 31, 54, 72, 52, 65, 45, 35, 29, 44, 38, 36, 66, 45, 40, 39, 44, 45, 26, 36, 30, 48, 59, 32, 59, 36, 48, 55, 52, 34, 38, 39, 29, 43, 40, 47, 76, 36, 34, 42, 30, 43, 50, 40, 33, 43, 46, 52, 38, 58, 67, 54, 55, 44, 27, 55, 44, 45, 42, 45, 32, 42, 56, 77, 34, 45, 34, 57, 40, 60, 73, 60, 52, 39, 28, 42, 36, 36, 46, 37, 60, 40, 36, 45, 26, 34, 42, 38, 45, 45, 44, 66, 39, 35, 40, 69, 37, 60, 34, 38, 66, 49, 56, 45, 32, 25, 46, 28, 43, 30, 36, 36, 29, 39, 34, 30, 23, 36, 51, 49, 31, 29, 39, 34, 56, 61, 43, 72, 26, 28, 26, 74, 28, 36, 30, 55, 40, 29, 24, 33, 30, 21, 26, 36, 58, 31, 75, 40, 24, 54, 25, 43, 27, 55, 57, 33, 37, 76, 56, 28, 37, 42, 21, 45, 48, 50, 62, 27, 26, 66, 66, 57, 47, 79, 50, 38, 29, 36, 39, 43, 52, 39, 27, 37, 78, 37, 27, 55, 64, 65, 34, 44, 52, 28, 45, 53, 58, 41, 31, 34, 36, 25, 35, 48, 50, 25, 46, 65, 27, 53, 22, 46, 66, 56, 64, 59, 35, 26, 25, 36, 43, 28, 32, 40, 61, 50, 28, 56, 30, 35, 35) lifecycle <- c(3, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 1, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 1, 1, 3, 2, 1, 3, 3, 3, 2, 1, 3, 3, 1, 3, 3, 2, 3, 1, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2, 1, 2, 2, 1, 3, 1, 1, 2, 3, 2, 1, 1, 3, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 1, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 1, 2, 2, 1, 3, 3, 1, 3, 3, 2, 3, 3, 3, 3, 1, 3, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 1, 3, 1, 3, 3, 2, 2, 2, 3, 1, 1, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 2, 3, 1, 1, 3, 1, 3, 3, 2, 1, 3, 2, 3, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 2, 3, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 3, 1, 2, 3, 3, 2, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 2, 1, 2, 2, 2, 3, 3, 1, 2, 3, 1, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 3, 3, 1, 3, 3, 2, 1, 1, 1, 3, 2, 1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 3, 3, 1, 2, 3, 2, 3, 2, 3, 3, 2, 1, 1, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 3, 1, 3, 2, 1, 1, 2, 2, 1, 2, 3, 3, 2, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 1, 3, 1, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 3, 3, 2, 1, 2, 2, 2, 2, 3, 3, 1, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 2, 2, 3, 2, 3, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 2, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 1, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 3, 3, 1, 1, 3, 3, 1, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 3, 1, 3, 2, 3, 3, 3, 3, 3, 1, 3, 1, 3, 3, 2, 3, 2, 3, 3, 2, 1, 3, 3, 3, 2, 3, 3, 1, 2, 3, 3, 2, 1, 3, 3, 1, 1, 3, 2, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 2, 3, 2, 1, 3, 1, 1, 1, 1, 3, 2, 2, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 3, 3) socialclass <- c(1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2) wasmilitary <- c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1) parentsborn <- c(1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0) catholic <- c(1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0) church <- c(4, 2, 4, 4, 4, 4, 1, 3, 4, 4, 4, 2, 4, 2, 4, 4, 2, 3, 2, 4, 4, 2, 3, 2, 3, 2, 2, 2, 2, 3, 4, 2, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 2, 4, 4, 2, 2, 3, 4, 4, 4, 2, 4, 2, 2, 4, 4, 4, 3, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 4, 4, 4, 4, 2, 2, 1, 4, 2, 3, 3, 3, 2, 4, 1, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 2, 3, 2, 2, 3, 4, 2, 4, 3, 3, 2, 2, 4, 4, 2, 3, 2, 2, 2, 4, 3, 1, 1, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 2, 3, 4, 4, 2, 3, 3, 4, 4, 4, 2, 4, 2, 3, 3, 3, 1, 2, 2, 4, 4, 3, 1, 3, 1, 2, 4, 4, 3, 2, 2, 3, 2, 2, 2, 2, 4, 4, 4, 2, 3, 4, 2, 2, 4, 4, 2, 4, 2, 2, 4, 3, 2, 4, 2, 4, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 3, 1, 4, 4, 3, 2, 4, 2, 2, 4, 2, 2, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 2, 2, 4, 3, 3, 4, 3, 2, 4, 1, 2, 4, 4, 3, 4, 3, 2, 4, 4, 4, 2, 4, 4, 4, 4, 3, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 2, 4, 2, 4, 4, 3, 2, 2, 2, 2, 1, 4, 2, 4, 2, 2, 3, 1, 4, 4, 4, 4, 2, 2, 4, 4, 2, 4, 3, 3, 2, 4, 2, 4, 2, 2, 4, 2, 3, 3, 4, 2, 4, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 2, 2, 2, 4, 3, 4, 4, 2, 3, 2, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 2, 1, 2, 2, 4, 2, 4, 2, 4, 2, 2, 4, 3, 2, 2, 2, 2, 1, 2, 4, 2, 3, 3, 4, 3, 4, 4, 3, 2, 2, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 1, 4, 4, 2, 3, 4, 2, 4, 4, 4, 3, 2, 2, 3, 2, 2, 4, 1, 2, 2, 3, 4, 2, 4, 2, 1, 4, 2, 3, 4, 3, 4, 2, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 1, 3, 2, 4, 3, 2, 1, 4, 4, 2, 2, 4, 3, 4, 4, 3, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 4, 2, 2, 2, 3, 4, 2, 2, 4, 2, 4, 4, 2, 4, 2, 2, 3, 4, 4, 2, 3, 4, 4, 4, 4, 1, 2, 3, 4, 4, 4, 2, 3, 2, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 1, 4, 2, 4, 3, 2, 4, 4, 4, 2, 3, 2, 4, 4, 4, 1, 2, 4, 2, 2, 1, 4, 2, 2, 4, 4, 4, 4, 4, 4, 1, 4, 2, 2, 3, 3, 4, 4, 4, 4, 2, 3, 1, 4, 3, 4, 4, 1, 4, 3, 4, 4, 4, 1, 4, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 3, 4, 2, 4, 4, 2, 4, 4, 3, 2, 4, 4, 4, 2, 4, 4, 4, 4, 2, 2, 2, 3, 4, 3, 3, 3, 4, 2, 4, 4, 3, 2, 3, 4, 2, 1, 4, 2, 2, 4, 4, 3, 2, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 3, 3, 2, 4, 1, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 2, 4, 2, 3, 2, 4, 3, 1, 4, 4, 4, 3, 4, 2, 2, 4, 3, 2, 4, 4, 4, 1, 2, 2, 1, 4, 4, 4, 3, 4, 2, 2, 3, 2, 2, 4, 2, 2, 4, 3, 2, 4, 3, 2, 4, 2, 3, 4, 1, 2, 4, 4, 3, 4, 3, 3, 2, 2, 1, 4, 2, 2, 4, 4, 2, 4, 4, 2, 4, 3, 2, 4, 2, 4, 2, 3, 3, 3, 4, 4, 4, 3, 2, 4, 2, 3, 4, 1, 1, 3, 2, 4, 2, 3, 3, 4, 4, 2, 2, 4, 4, 2, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 2, 4, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3) N <- 846 Ncat <- 4 Nvar <- 8