list( party=c(4.662921, 4.543860, 6.212479, 5.883117 ), J=4, y = c( 3, 3, 3, 3, 2, 3, 3, 1, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 2, 2, 4, 2, 4, 2, 4, 4, 3, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 2, 4, 4, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 4, 3, 2, 4, 4, 4, 4, 2, 4, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 3, 2, 4, 4, 2, 4, 3, 2, 3, 1, 2, 3, 4, 2, 2, 2, 2, 1, 2, 3, 3, 2, 3, 3, 2, 2, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 4, 4, 1, 2, 4, 3, 2, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 1, 2, 3, 3, 2, 1, 3, 3, 2, 3, 2, 2, 1, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 4, 2, 2, 2, 4, 4, 4, 2, 3, 4, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 3, 3, 2, 1, 2, 1, 1, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 1, 3, 2, 1, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 4, 4, 3, 3, 1, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 1, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 4, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 4, 3, 2, 4, 2, 2, 2, 2, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 4, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 3, 4, 2, 3, 3, 2, 2, 2, 3, 2, 1, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 3, 2, 3, 3, 2, 1, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 2, 3, 2, 3, 4, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 1, 2, 1, 3, 3, 4, 2, 2, 3, 2, 3, 3, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 4, 1, 3, 4, 2, 4, 2, 2, 4, 4, 3, 4, 3, 4, 1, 3, 3, 1, 1, 3, 3, 4, 3, 2, 4, 4, 3, 4, 4, 2, 4, 2, 3, 4, 3, 2, 2, 2, 4, 2, 3, 3, 3, 1, 3, 4, 4, 2, 3, 2, 1, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 3, 3, 1, 3, 3, 2, 1, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 1, 2, 4, 2, 4, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 1, 3, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 4, 1, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 2, 3, 2, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 1, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 2, 3, 1, 3, 3, 1, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3) , age = c( 36, 36, 61, 80, 60, 72, 38, 36, 82, 69, 33, 33, 21, 40, 32, 44, 69, 74, 78, 57, 66, 40, 66, 84, 66, 35, 37, 59, 40, 57, 63, 56, 52, 26, 74, 37, 73, 20, 74, 21, 25, 63, 66, 69, 41, 20, 43, 68, 43, 23, 65, 49, 30, 68, 21, 48, 36, 41, 59, 42, 35, 52, 43, 38, 51, 50, 37, 33, 70, 80, 49, 40, 81, 75, 40, 46, 19, 67, 35, 76, 49, 43, 37, 48, 43, 37, 25, 41, 44, 56, 70, 71, 72, 50, 60, 45, 38, 47, 46, 46, 79, 67, 74, 66, 61, 45, 45, 36, 65, 48, 77, 63, 61, 59, 59, 70, 39, 66, 33, 35, 59, 39, 39, 34, 79, 46, 67, 34, 19, 84, 34, 20, 32, 33, 41, 41, 40, 38, 26, 42, 27, 42, 84, 48, 22, 39, 49, 79, 70, 39, 48, 70, 62, 52, 49, 37, 38, 57, 29, 37, 46, 77, 32, 75, 47, 59, 31, 72, 53, 60, 72, 35, 27, 24, 40, 33, 72, 55, 65, 53, 50, 25, 44, 28, 45, 30, 29, 31, 42, 50, 23, 24, 34, 72, 27, 26, 55, 50, 71, 44, 63, 44, 40, 63, 53, 77, 76, 21, 37, 44, 55, 28, 77, 27, 25, 59, 35, 78, 44, 46, 45, 35, 45, 58, 31, 60, 45, 44, 32, 32, 37, 50, 25, 39, 57, 55, 53, 19, 27, 53, 50, 42, 53, 34, 80, 32, 78, 27, 59, 25, 24, 39, 43, 66, 38, 55, 66, 65, 39, 24, 56, 50, 52, 42, 46, 31, 20, 49, 57, 45, 83, 69, 48, 64, 70, 51, 36, 85, 42, 48, 58, 31, 69, 53, 41, 23, 48, 42, 55, 35, 62, 50, 57, 48, 52, 58, 52, 26, 61, 20, 38, 41, 43, 40, 45, 50, 24, 77, 49, 29, 23, 50, 27, 75, 32, 41, 54, 21, 44, 77, 49, 27, 67, 83, 69, 63, 39, 33, 74, 72, 75, 56, 60, 44, 54, 35, 25, 74, 36, 35, 61, 52, 45, 75, 40, 33, 34, 46, 57, 46, 68, 87, 62, 44, 55, 39, 40, 35, 28, 33, 46, 25, 32, 57, 50, 51, 78, 19, 69, 71, 49, 56, 38, 59, 78, 61, 53, 53, 53, 63, 22, 50, 32, 59, 27, 65, 51, 44, 61, 30, 28, 44, 39, 62, 34, 38, 31, 40, 22, 33, 27, 33, 29, 45, 29, 36, 53, 43, 31, 35, 47, 25, 38, 70, 52, 47, 52, 57, 54, 32, 26, 56, 24, 34, 32, 40, 49, 20, 34, 38, 61, 67, 82, 55, 20, 28, 60, 65, 24, 53, 55, 57, 22, 23, 35, 42, 41, 27, 46, 34, 37, 36, 42, 33, 40, 55, 25, 27, 42, 51, 63, 32, 34, 26, 69, 56, 75, 58, 67, 73, 51, 45, 19, 48, 24, 67, 79, 22, 46, 43, 64, 56, 54, 47, 46, 27, 44, 38, 44, 35, 27, 47, 35, 22, 22, 39, 38, 31, 32, 55, 36, 44, 31, 49, 23, 45, 73, 25, 34, 66, 56, 62, 68, 51, 35, 55, 31, 24, 74, 43, 75, 66, 30, 31, 42, 54, 67, 25, 34, 74, 59, 36, 47, 53, 41, 54, 64, 57, 33, 47, 59, 42, 51, 39, 38, 37, 41, 23, 66, 46, 53, 42, 69, 36, 23, 34, 94, 59, 43, 32, 38, 31, 39, 37, 58, 27, 57, 67, 42, 31, 27, 32, 24, 48, 60, 29, 57, 60, 57, 57, 72, 26, 28, 35, 80, 52, 49, 39, 75, 33, 41, 56, 82, 69, 43, 49, 29, 51, 27, 51, 50, 70, 33, 29, 67, 79, 51, 30, 43, 70, 64, 54, 29, 51, 55, 38, 19, 52, 38, 35, 66, 45, 21, 61, 39, 51, 27, 49, 19, 32, 42, 52, 48, 45, 20, 56, 23, 66, 73, 49, 73, 71, 31, 49, 21, 37, 32, 27, 27, 53, 22, 50, 49, 58, 47, 28, 54, 20, 34, 66, 54, 55, 41, 26, 55, 60, 33, 70, 24, 42, 73, 86, 33, 31, 32, 36, 25, 31, 48, 29, 36, 61, 26, 27, 40, 40, 41, 58, 46, 47, 38, 29, 43, 53, 52, 27, 42, 26, 36, 68, 82, 76, 69, 32, 29, 39, 38, 41, 64, 53, 61, 41, 52, 32, 35, 42, 51, 27, 75, 35, 33, 60, 43, 41, 36, 59, 34, 34, 49, 56, 38, 45, 24, 36, 95, 74, 69, 47, 34, 52, 36, 43, 60, 62, 39, 45, 51, 49, 46, 42, 53, 50, 46, 72, 44, 43, 44, 66, 51, 70, 65, 47, 48, 69, 20, 69, 37, 35, 43, 42, 25, 95, 33, 36, 37, 36, 66, 63, 42, 48, 63, 45, 40, 59, 22, 69, 19, 20, 33, 45, 38, 48, 55, 60, 46, 45, 42, 45, 44, 37, 74, 27, 65, 82, 41, 24, 32, 25, 61, 37, 37, 33, 61, 51, 42, 35, 34, 51, 75, 62, 37, 41, 49, 48, 19, 42, 30, 30, 47, 30, 44, 52, 42, 44, 45, 36, 57, 56, 43, 58, 78, 42, 49, 77, 39, 31, 40, 29, 23, 27, 25, 64, 66, 52, 38, 43, 37, 39, 37, 70, 49, 74, 31, 52, 55, 27, 19, 46, 65, 41, 39, 34, 33, 34, 64, 23, 38, 43, 48, 26, 39, 36, 42, 47, 46, 65, 38, 81, 81, 83, 34, 29, 21, 45, 69, 45, 47, 46, 53, 23, 51, 46, 42, 52, 36, 41, 62, 47, 44, 29, 76, 34, 75, 38, 29, 66, 28, 71, 61, 51, 77, 36, 61, 53, 33, 35, 30, 41, 35, 66, 44, 58, 39, 59, 26, 47, 51, 67, 33, 55, 42, 57, 26, 19, 36, 36, 81, 72, 77, 32, 56, 64, 83, 48, 32, 59, 45, 66, 74, 91, 63, 49, 40, 28, 50, 45, 26, 34, 56, 39, 41, 44, 44, 31, 41, 47, 45, 30, 47, 34, 20, 42, 43, 39, 64, 34, 48, 76, 46, 70, 77, 27, 32, 39, 61, 64, 29, 45, 45, 76, 20, 37, 43, 42, 53, 33, 54, 29, 25, 69, 63, 26, 47, 48, 45, 41, 40, 70, 43, 37, 31, 29, 64, 44, 37, 25, 38, 45, 50, 29, 26, 51, 29, 76, 21, 33, 20, 45, 44, 37, 56, 32, 30, 27, 34, 34, 48, 60, 51, 46, 28, 28, 79, 39, 30, 24, 49, 41, 68, 46, 73, 48, 53, 58, 51, 76, 31, 37, 47, 48, 24, 24, 30, 37, 31, 70, 53, 36, 53, 26, 31, 39, 35, 35, 36, 26, 41, 23, 63, 60, 48, 23, 93, 49, 47, 60, 20, 71, 47, 58, 36, 66, 33, 79, 47, 42, 45, 41, 76, 69, 45, 62, 63, 55, 54, 38, 47, 70, 53, 30, 39, 58, 65, 78, 56, 36, 36, 66, 26, 57, 59, 28, 51, 41, 28, 29, 40, 48, 37, 26, 48, 19, 25, 78, 32, 39, 33, 42, 64, 22, 58, 34, 33, 41, 54, 83, 38, 40, 34, 36, 56, 86, 41, 28, 68, 38, 35, 37, 56, 30, 37, 47, 67, 21, 27, 28, 27, 35, 35, 50, 66, 46, 24, 53, 48, 34, 20, 58, 23, 24, 31, 57, 41, 28, 35, 39, 34, 24, 32, 26, 51, 43, 39, 38, 45, 19, 28, 74, 47, 39, 50, 32, 42, 25, 51) , gender = c( 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1) , income = c( 13, 11, 10, 10, 4, 11, 12, 11, 2, 3, 8, 10, 3, 14, 2, 1, 5, 7, 3, 10, 10, 11, 5, 9, 14, 13, 14, 12, 14, 5, 5, 2, 7, 14, 3, 13, 10, 14, 13, 14, 14, 11, 4, 14, 14, 2, 11, 10, 12, 7, 4, 2, 6, 5, 10, 10, 8, 8, 4, 11, 7, 11, 8, 8, 5, 14, 9, 1, 9, 8, 14, 10, 8, 4, 12, 11, 1, 6, 6, 5, 7, 9, 6, 6, 13, 13, 6, 12, 14, 13, 6, 9, 5, 13, 6, 12, 6, 9, 12, 14, 7, 5, 11, 10, 7, 9, 14, 8, 14, 6, 4, 3, 7, 9, 14, 3, 13, 4, 13, 9, 4, 13, 2, 11, 4, 8, 6, 13, 4, 4, 7, 11, 11, 9, 4, 14, 9, 8, 10, 11, 14, 7, 4, 2, 7, 6, 14, 3, 3, 7, 14, 3, 7, 7, 11, 10, 11, 5, 14, 12, 14, 12, 13, 11, 10, 9, 2, 14, 12, 9, 4, 13, 4, 1, 11, 4, 3, 4, 8, 14, 9, 8, 10, 14, 14, 10, 12, 11, 13, 8, 3, 8, 14, 7, 5, 8, 3, 14, 8, 10, 6, 7, 9, 8, 4, 4, 3, 11, 11, 8, 11, 13, 14, 6, 4, 9, 14, 10, 11, 14, 10, 13, 8, 10, 11, 14, 14, 10, 10, 11, 14, 13, 9, 13, 6, 8, 1, 2, 11, 10, 14, 14, 14, 12, 1, 12, 3, 5, 14, 5, 7, 14, 3, 7, 9, 14, 5, 9, 12, 4, 9, 7, 13, 14, 11, 12, 12, 5, 14, 14, 7, 9, 9, 10, 5, 8, 8, 4, 7, 6, 8, 13, 7, 14, 1, 3, 9, 14, 10, 11, 13, 14, 14, 10, 11, 8, 12, 8, 7, 12, 8, 12, 9, 11, 11, 13, 8, 1, 13, 1, 5, 11, 13, 5, 11, 14, 10, 11, 7, 4, 10, 8, 14, 4, 5, 6, 11, 8, 2, 5, 5, 8, 4, 10, 1, 13, 7, 6, 5, 13, 6, 8, 14, 8, 13, 14, 3, 11, 13, 14, 3, 5, 7, 7, 2, 9, 7, 10, 11, 14, 12, 12, 11, 12, 8, 8, 2, 1, 5, 2, 12, 14, 14, 8, 5, 5, 14, 14, 8, 11, 12, 9, 9, 9, 14, 8, 3, 12, 12, 10, 14, 14, 11, 14, 14, 11, 9, 14, 7, 11, 1, 10, 6, 10, 9, 12, 14, 12, 10, 7, 11, 6, 13, 3, 14, 14, 8, 11, 8, 12, 12, 11, 8, 10, 14, 10, 1, 8, 14, 5, 4, 7, 13, 6, 3, 7, 5, 2, 7, 4, 10, 8, 14, 14, 7, 9, 9, 10, 13, 11, 11, 12, 9, 11, 6, 10, 11, 9, 13, 13, 11, 12, 13, 8, 4, 13, 5, 10, 9, 4, 12, 9, 8, 8, 7, 2, 9, 5, 8, 13, 14, 8, 7, 14, 12, 7, 13, 13, 1, 9, 14, 9, 12, 9, 9, 10, 10, 1, 14, 1, 10, 14, 13, 6, 5, 13, 7, 7, 13, 8, 12, 1, 5, 14, 12, 9, 11, 7, 2, 14, 6, 2, 4, 12, 3, 10, 4, 12, 11, 5, 7, 9, 9, 10, 8, 5, 6, 5, 12, 11, 13, 14, 10, 13, 14, 14, 12, 8, 6, 9, 14, 7, 12, 13, 8, 10, 4, 5, 7, 7, 8, 14, 8, 8, 5, 11, 5, 8, 12, 7, 4, 13, 9, 13, 2, 2, 8, 6, 5, 9, 12, 14, 14, 14, 4, 11, 14, 12, 5, 9, 4, 10, 13, 9, 12, 11, 11, 7, 4, 12, 14, 4, 8, 7, 8, 7, 14, 8, 11, 3, 5, 8, 11, 7, 14, 7, 14, 12, 14, 9, 6, 13, 9, 4, 11, 14, 9, 11, 2, 7, 7, 7, 3, 5, 5, 14, 4, 4, 5, 10, 13, 3, 7, 1, 7, 11, 8, 14, 10, 6, 1, 9, 8, 12, 14, 12, 10, 2, 2, 14, 12, 14, 14, 5, 14, 14, 11, 3, 9, 14, 14, 4, 3, 5, 8, 9, 9, 11, 12, 8, 14, 5, 9, 10, 14, 9, 11, 7, 7, 14, 9, 14, 9, 9, 9, 11, 6, 12, 11, 5, 3, 5, 5, 9, 8, 10, 11, 13, 14, 12, 5, 9, 14, 14, 11, 13, 6, 7, 5, 12, 14, 14, 14, 5, 14, 14, 8, 8, 11, 8, 11, 14, 12, 11, 1, 4, 6, 8, 14, 13, 11, 9, 7, 7, 8, 13, 14, 8, 12, 9, 11, 11, 14, 14, 10, 4, 5, 6, 12, 4, 5, 9, 14, 6, 5, 7, 8, 2, 12, 7, 7, 14, 11, 10, 4, 7, 6, 14, 12, 13, 8, 10, 11, 2, 9, 6, 1, 7, 11, 6, 11, 10, 14, 2, 14, 11, 14, 14, 10, 11, 6, 5, 7, 3, 4, 8, 11, 8, 10, 11, 10, 8, 14, 11, 13, 9, 7, 12, 4, 5, 4, 13, 10, 12, 14, 10, 11, 8, 10, 12, 3, 5, 6, 13, 13, 10, 10, 4, 5, 12, 9, 12, 4, 6, 12, 5, 6, 12, 8, 10, 8, 5, 4, 14, 12, 10, 7, 14, 13, 5, 11, 14, 12, 13, 11, 12, 1, 4, 6, 14, 13, 8, 7, 9, 5, 14, 7, 10, 11, 9, 11, 11, 5, 7, 11, 6, 14, 4, 5, 6, 13, 8, 4, 13, 11, 5, 12, 12, 14, 12, 13, 12, 14, 14, 14, 13, 11, 14, 5, 5, 5, 6, 3, 4, 11, 3, 7, 6, 5, 10, 5, 13, 9, 4, 9, 7, 10, 9, 6, 5, 8, 5, 14, 13, 8, 13, 9, 3, 10, 8, 14, 9, 8, 5, 11, 12, 4, 12, 3, 11, 7, 3, 4, 2, 2, 11, 14, 3, 6, 3, 5, 14, 14, 3, 9, 11, 8, 7, 3, 12, 7, 14, 14, 12, 11, 12, 10, 14, 14, 8, 1, 11, 7, 5, 10, 12, 13, 5, 14, 3, 8, 7, 7, 14, 5, 6, 9, 14, 11, 6, 2, 7, 14, 2, 5, 13, 11, 12, 11, 4, 4, 10, 11, 11, 11, 10, 11, 9, 13, 11, 10, 13, 5, 12, 11, 14, 14, 8, 10, 8, 14, 4, 14, 4, 3, 6, 5, 6, 14, 8, 5, 8, 3, 12, 9, 6, 10, 14, 8, 10, 7, 10, 9, 7, 9, 13, 10, 1, 4, 11, 7, 14, 14, 13, 13, 6, 14, 6, 13, 14, 4, 7, 10, 7, 8, 7, 14, 11, 14, 14, 9, 13, 12, 7, 14, 12, 13, 7, 7, 13, 13, 11, 3, 11, 11, 3, 13, 3, 14, 3, 10, 6, 12, 2, 14, 12, 10, 7, 6, 4, 12, 12, 5, 9, 5, 4, 5, 8, 1, 8, 6, 6, 6, 4, 2, 8, 11, 14, 7, 3, 1, 7, 9, 12, 3, 7, 11, 7, 12, 9, 10, 2, 7, 10, 5, 3, 5, 13, 10, 3, 10, 7, 8, 5, 4, 4, 7, 12, 10, 10, 13, 4, 10, 13, 7, 12, 5, 10, 7, 8, 11, 9, 5, 4, 13, 11, 12, 5, 12, 7, 5, 7, 14, 14, 11, 11, 12, 4, 7, 8, 14, 5, 7, 3, 3, 6, 8, 1, 10, 5, 9, 13, 14, 14, 10, 14, 13, 4, 11, 12, 14, 11, 10, 7, 5) , rural = c( 5, 5, 5, 5, 5, 5, 4, 5, 1, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 4, 4, 2, 2, 3, 1, 5, 3, 4, 2, 4, 5, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 4, 2, 4, 1, 2, 4, 2, 2, 4, 1, 1, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 1, 2, 1, 2, 1, 2, 2, 4, 1, 4, 4, 1, 1, 2, 2, 1, 5, 5, 5, 5, 5, 2, 2, 2, 3, 3, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 1, 2, 2, 3, 2, 1, 2, 2, 2, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 1, 4, 1, 4, 2, 2, 3, 3, 4, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 2, 1, 2, 4, 1, 4, 4, 5, 5, 1, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 1, 1, 1, 3, 3, 4, 1, 4, 1, 4, 4, 2, 2, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 2, 3, 4, 5, 4, 2, 4, 5, 5, 5, 1, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 1, 3, 3, 3, 1, 4, 1, 1, 2, 1, 1, 4, 4, 4, 5, 3, 5, 1, 5, 4, 5, 5, 4, 5, 5, 2, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 1, 2, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 2, 1, 2, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 2, 2, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 3, 1, 5, 5, 5, 1, 5, 5, 4, 2, 2, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 2, 4, 5, 4, 4, 5, 5, 4, 4, 2, 2, 2, 5, 1, 3, 1, 1, 5, 5, 4, 5, 5, 1, 1, 2, 2, 3, 1, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 2, 1, 2, 4, 4, 1, 3, 3, 3, 2, 5, 5, 4, 3, 4, 5, 5, 4, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 1, 4, 5, 5, 2, 2, 2, 5, 3, 1, 5, 1, 2, 2, 3, 4, 4, 3, 3, 2, 3, 1, 1, 2, 2, 5, 1, 2, 3, 1, 3, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 5, 4, 4, 2, 2, 5, 3, 2, 5, 5, 5, 4, 5, 5, 5, 5, 1, 1, 3, 2, 1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 1, 5, 1, 1, 4, 2, 3, 3, 3, 2, 2, 4, 2, 4, 4, 4, 2, 4, 1, 3, 1, 4, 2, 5, 5, 1, 3, 1, 2, 4, 5, 5, 5, 5, 3, 3, 1, 1, 1, 4, 4, 4, 1, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 1, 3, 2, 3, 3, 4, 5, 5, 1, 1, 1, 3, 5, 5, 5, 5, 5, 5, 4, 1, 1, 1, 2, 2, 4, 4, 4, 4, 1, 5, 4, 5, 1, 5, 5, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 1, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 1, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 1, 4, 4, 4, 1, 2, 5, 1, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 2, 1, 1, 3, 2, 2, 5, 5, 5, 4, 5, 5, 1, 5, 4, 2, 3, 2, 2, 1, 2, 4, 4, 3, 5, 5, 5, 5, 1, 5, 5, 4, 5, 3, 4, 2, 2, 1, 1, 2, 2, 2, 4, 5, 5, 5, 5, 2, 1, 3, 4, 5, 1, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 4, 4, 2, 2, 2, 5, 5, 5, 1, 2, 3, 5, 2, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 5, 5, 3, 1, 1, 5, 3, 2, 1, 3, 3, 4, 2, 2, 3, 1, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 2, 1, 2, 1, 2, 2, 5, 3, 3, 1, 3, 3, 1, 2, 2, 2, 5, 5, 5, 5, 5, 2, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 1) , leftrt = c( 5, 5, 5, 5, 0, 5, 5, 3, 5, 1, 5, 4, 5, 8, 8, 10, 7, 8, 10, 6, 3, 7, 5, 7, 5, 5, 8, 5, 1, 8, 6, 5, 5, 5, 9, 7, 7, 6, 5, 5, 10, 3, 6, 6, 7, 5, 5, 9, 5, 3, 8, 5, 5, 4, 6, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 3, 5, 5, 7, 6, 7, 6, 8, 7, 5, 4, 4, 5, 7, 10, 4, 5, 5, 3, 2, 5, 5, 2, 8, 8, 8, 5, 8, 4, 5, 5, 5, 5, 7, 0, 3, 8, 6, 4, 7, 5, 6, 4, 7, 8, 1, 5, 5, 5, 6, 5, 5, 5, 3, 5, 6, 5, 5, 3, 5, 7, 6, 7, 5, 4, 3, 6, 2, 3, 5, 5, 9, 5, 5, 7, 5, 5, 10, 6, 7, 5, 5, 5, 1, 5, 6, 0, 5, 7, 2, 7, 5, 5, 5, 4, 7, 5, 1, 7, 3, 6, 5, 9, 7, 1, 5, 4, 5, 5, 6, 5, 5, 5, 3, 5, 5, 3, 5, 5, 9, 5, 5, 6, 5, 7, 7, 5, 1, 4, 4, 5, 5, 6, 7, 4, 5, 5, 5, 10, 3, 10, 5, 6, 5, 6, 6, 5, 7, 5, 2, 4, 6, 2, 5, 2, 5, 8, 5, 10, 5, 5, 3, 6, 3, 3, 2, 8, 0, 5, 5, 10, 5, 5, 5, 0, 5, 2, 7, 5, 8, 4, 5, 4, 5, 3, 6, 5, 3, 7, 5, 6, 10, 6, 7, 5, 8, 7, 7, 7, 6, 7, 8, 8, 9, 4, 6, 4, 4, 10, 7, 5, 5, 10, 5, 0, 8, 5, 5, 7, 5, 4, 4, 5, 8, 6, 5, 3, 8, 2, 4, 5, 8, 0, 3, 5, 8, 2, 5, 5, 6, 5, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 4, 6, 1, 6, 5, 5, 4, 5, 4, 5, 5, 6, 7, 5, 8, 6, 6, 10, 10, 6, 7, 5, 8, 5, 6, 2, 3, 4, 5, 7, 7, 9, 5, 9, 5, 5, 2, 4, 6, 5, 5, 10, 5, 5, 8, 5, 7, 5, 5, 6, 5, 5, 4, 7, 6, 6, 6, 2, 7, 5, 7, 10, 5, 0, 6, 5, 5, 5, 8, 8, 4, 5, 6, 7, 6, 3, 5, 5, 6, 5, 7, 8, 5, 5, 5, 3, 4, 8, 3, 7, 6, 4, 4, 5, 8, 5, 7, 5, 6, 6, 5, 5, 5, 4, 8, 2, 5, 9, 5, 6, 4, 5, 1, 0, 5, 5, 5, 7, 8, 5, 5, 2, 5, 7, 5, 2, 4, 5, 5, 6, 4, 10, 4, 5, 3, 2, 5, 5, 6, 4, 5, 6, 5, 6, 5, 7, 8, 5, 5, 10, 6, 8, 2, 5, 7, 6, 5, 8, 5, 8, 5, 10, 10, 8, 8, 7, 8, 4, 6, 5, 5, 7, 3, 6, 5, 5, 5, 5, 5, 6, 5, 7, 4, 5, 7, 5, 2, 6, 3, 4, 5, 5, 6, 3, 4, 5, 10, 2, 5, 10, 4, 3, 5, 5, 6, 4, 4, 8, 5, 4, 6, 5, 3, 6, 5, 5, 1, 5, 5, 4, 7, 6, 4, 5, 4, 2, 3, 5, 5, 10, 5, 7, 5, 4, 4, 7, 5, 7, 6, 6, 2, 3, 5, 5, 5, 5, 7, 5, 5, 3, 2, 4, 8, 6, 6, 5, 5, 6, 5, 7, 5, 5, 6, 7, 7, 7, 8, 6, 6, 5, 5, 8, 5, 8, 7, 4, 5, 5, 2, 4, 9, 2, 10, 8, 6, 6, 7, 4, 4, 6, 5, 5, 4, 5, 5, 5, 2, 4, 10, 4, 5, 7, 4, 5, 8, 5, 4, 7, 8, 4, 5, 0, 8, 8, 10, 5, 8, 7, 5, 8, 6, 5, 3, 5, 2, 5, 2, 5, 5, 5, 6, 4, 8, 5, 4, 5, 6, 5, 5, 5, 4, 5, 5, 6, 5, 8, 8, 6, 10, 5, 7, 7, 9, 9, 5, 5, 3, 6, 5, 5, 5, 7, 10, 6, 3, 3, 5, 5, 5, 5, 5, 6, 10, 8, 8, 5, 6, 5, 8, 2, 5, 5, 5, 0, 7, 5, 3, 7, 6, 8, 7, 10, 10, 4, 7, 7, 5, 5, 8, 5, 2, 5, 6, 9, 4, 4, 9, 5, 3, 5, 5, 7, 8, 2, 5, 5, 7, 7, 5, 4, 10, 4, 8, 5, 8, 2, 9, 9, 7, 3, 5, 8, 9, 7, 7, 7, 3, 10, 3, 6, 0, 9, 5, 0, 8, 5, 8, 5, 5, 5, 5, 8, 5, 7, 5, 6, 5, 8, 8, 5, 5, 6, 5, 5, 5, 5, 3, 8, 5, 2, 6, 6, 5, 5, 10, 6, 5, 5, 7, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5, 5, 4, 5, 5, 7, 4, 7, 5, 0, 5, 10, 2, 5, 5, 2, 4, 8, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 7, 5, 3, 6, 10, 10, 6, 5, 0, 5, 5, 5, 0, 10, 5, 10, 8, 5, 8, 5, 5, 6, 10, 5, 5, 7, 10, 5, 7, 5, 3, 5, 5, 6, 5, 5, 4, 5, 5, 8, 5, 10, 5, 8, 8, 5, 5, 5, 5, 5, 5, 8, 0, 0, 8, 3, 5, 2, 5, 5, 5, 8, 7, 5, 5, 6, 5, 8, 7, 4, 5, 6, 5, 6, 5, 5, 5, 2, 5, 5, 10, 5, 8, 3, 0, 9, 4, 5, 7, 4, 5, 5, 0, 7, 8, 5, 5, 6, 7, 10, 5, 5, 5, 7, 8, 4, 7, 6, 8, 5, 8, 8, 10, 5, 3, 4, 10, 2, 5, 8, 7, 6, 5, 10, 4, 5, 7, 5, 8, 5, 3, 5, 2, 0, 8, 5, 6, 8, 5, 3, 5, 3, 5, 5, 2, 4, 5, 4, 5, 5, 3, 7, 1, 5, 7, 4, 2, 6, 5, 5, 8, 5, 3, 5, 9, 7, 5, 7, 5, 9, 8, 7, 5, 5, 5, 3, 4, 7, 5, 4, 2, 5, 6, 7, 5, 7, 7, 8, 4, 6, 5, 5, 3, 7, 5, 7, 10, 6, 8, 5, 5, 5, 8, 6, 5, 8, 5, 0, 5, 5, 4, 0, 8, 7, 6, 6, 6, 7, 5, 5, 5, 5, 5, 6, 6, 9, 3, 3, 4, 6, 6, 3, 5, 8, 8, 10, 7, 6, 5, 5, 7, 5, 3, 6, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 8, 5, 8, 6, 6, 6, 6, 8, 6, 7, 5, 7, 5, 5, 8, 8, 5, 5, 8, 4, 7, 7, 0, 5, 1, 7, 0, 5, 6, 8, 7, 8, 8, 6, 5, 6, 4, 3, 5, 5, 0, 5, 2, 8, 5, 5, 8, 5, 5, 6, 3, 5, 3, 9, 5, 3, 6, 5, 5, 6, 10, 8, 7, 5, 5, 4, 5, 6, 4, 4, 8, 6, 5, 4, 5, 9, 7, 5, 8, 5, 4, 3, 5, 5, 5, 5, 7, 5, 4, 8, 7, 5, 5, 6, 5, 1, 8, 2, 5, 5, 5, 3, 5, 0, 8, 3, 8, 5, 8, 8, 5, 7, 5, 5, 8, 5, 6, 5, 10, 7, 6) , econbet = c( 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 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, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 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, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 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, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 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, 1, 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, 0, 0, 0, 1, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 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, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 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, 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, 1, 0, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 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, 1, 0, 0, 1, 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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 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, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 0, 1, 0, 1, 1, 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, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0) , econwor = c( 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1) , N = 1215 )