model { # Set up data for(i in 1:Nsubj) { for(j in 1:T) { # risk set = 1 if obs.t >= t Y[i,j] <- step(obs.t[i] - t[j] + eps) # counting process jump = 1 if obs.t in [ t[j], t[j+1] ) # i.e. if t[j] <= obs.t < t[j+1] dN[i, j] <- Y[i, j] * step(t[j + 1] - obs.t[i] - eps) * FAIL[i] } Useless[i] <- Age[i]+CoRes[i]+Black[i]+Other[i]+Unknwn[i] } # Model for(j in 1:T) { for(i in 1:Nsubj) { dN[i, j] ~ dpois(Idt[i, j]) # Likelihood Idt[i, j] <- Y[i, j] * exp(beta0 + beta[1] * Primaries[i] + beta[2]*Age[i] + beta[3]*Black[i] + beta[4]*Other[i] + beta[5]*Unknwn[i] + W[CoRes[i]] ) * dL0[j] # Intensity } dL0[j] ~ dgamma(mu[j], c) mu[j] <- dL0.star[j] * c # prior mean hazard } for (i in 1:nsum) {weights[i] <- 1} W[1:regions] ~ car.normal(adj[], weights[], num[], tau) W.mean <- mean(W[]) c ~ dgamma(0.0001, 0.00001) r ~ dgamma(0.001, 0.0001) for (j in 1 : T) { dL0.star[j] <- r * (t[j + 1] - t[j]) } for(i in 1:5) {beta[i] ~ dnorm(0.0,0.00001)} beta0 ~ dnorm(0.0,0.001) tau ~ dgamma(1, 1) sigma <- 1 / sqrt(tau) } list(beta0=0, beta =c(0,0,0,0,0), W=c(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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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), c=0.1, r=0.1, dL0=c(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)) list(regions=99, nsum=444, adj=c(2, 15, 39, 61, 88, 1, 15, 69, 87, 88, 22, 96, 26, 68, 93, 15, 14, 39, 83, 7, 10, 48, 86, 57, 6, 9, 10, 12, 38, 86, 25, 37, 40, 77, 85, 94, 7, 12, 19, 33, 6, 7, 28, 33, 57, 18, 21, 76, 81, 7, 9, 34, 35, 38, 14, 37, 76, 81, 94, 5, 13, 24, 37, 39, 81, 1, 2, 5, 69, 78, 83, 23, 52, 53, 57, 70, 82, 34, 35, 41, 66, 98, 11, 47, 71, 75, 97, 9, 33, 34, 45, 96, 27, 59, 61, 88, 91, 11, 30, 71, 74, 3, 28, 31, 33, 16, 49, 53, 82, 14, 43, 47, 67, 81, 83, 8, 37, 39, 61, 77, 4, 89, 90, 20, 80, 93, 10, 22, 31, 53, 57, 44, 56, 58, 21, 32, 72, 22, 28, 49, 53, 30, 55, 74, 9, 10, 19, 22, 96, 12, 17, 19, 66, 12, 17, 42, 99, 65, 73, 8, 13, 14, 25, 39, 94, 7, 12, 42, 64, 86, 1, 5, 14, 25, 37, 8, 42, 85, 94, 99, 17, 55, 95, 99, 35, 38, 40, 64, 85, 24, 67, 78, 83, 29, 51, 56, 58, 89, 92, 19, 66, 96, 55, 76, 94, 99, 18, 24, 81, 97, 6, 52, 54, 79, 92, 23, 31, 53, 62, 63, 64, 77, 79, 85, 44, 54, 89, 90, 92, 16, 48, 57, 58, 70, 92, 16, 23, 28, 31, 49, 57, 48, 51, 62, 79, 90, 92, 32, 41, 46, 74, 95, 29, 44, 89, 6, 10, 16, 28, 52, 53, 29, 44, 52, 70, 92, 20, 63, 68, 91, 93, 72, 84, 1, 20, 25, 88, 91, 50, 54, 63, 68, 79, 90, 50, 59, 62, 68, 77, 91, 38, 42, 50, 85, 86, 36, 69, 78, 17, 34, 45, 98, 24, 43, 97, 4, 59, 62, 63, 90, 2, 15, 65, 73, 78, 16, 52, 58, 82, 18, 21, 72, 84, 30, 60, 71, 36, 69, 87, 21, 32, 55, 76, 18, 84, 97, 11, 13, 46, 74, 94, 8, 25, 50, 63, 85, 91, 15, 43, 65, 69, 83, 48, 50, 54, 62, 86, 27, 87, 88, 11, 13, 14, 24, 47, 16, 23, 70, 5, 15, 24, 43, 78, 60, 71, 75, 8, 40, 42, 50, 64, 77, 6, 7, 38, 64, 79, 2, 73, 80, 1, 2, 20, 61, 80, 26, 44, 51, 56, 26, 51, 54, 62, 68, 20, 59, 61, 63, 77, 44, 48, 51, 52, 54, 58, 4, 27, 59, 8, 13, 37, 40, 46, 76, 99, 41, 55, 98, 3, 19, 33, 45, 18, 47, 67, 75, 17, 66, 95, 35, 40, 41, 46, 94), num = c(5, 5, 2, 3, 4, 5, 6, 6, 4, 5, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 5, 3, 3, 5, 3, 3, 4, 3, 5, 4, 4, 2, 6, 5, 5, 5, 4, 5, 4, 6, 3, 4, 4, 5, 3, 6, 5, 6, 6, 6, 5, 3, 6, 5, 5, 2, 5, 6, 6, 5, 3, 4, 3, 5, 5, 4, 4, 3, 3, 4, 3, 5, 6, 5, 5, 3, 5, 3, 5, 3, 6, 5, 3, 5, 4, 5, 5, 6, 3, 7, 3, 4, 4, 3, 5), T=80, Nsubj=2122, eps=0.0, t=c(2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 83, 84, 85), obs.t = c(80, 82, 82, 35, 75, 81, 78, 76, 74, 81, 75, 82, 58, 35, 7, 80, 74, 81, 28, 78, 83, 84, 66, 76, 63, 75, 5, 78, 74, 6, 39, 81, 73, 39, 22, 71, 81, 31, 78, 71, 76, 81, 43, 44, 73, 30, 81, 79, 32, 46, 28, 84, 79, 75, 83, 76, 81, 82, 10, 50, 18, 79, 66, 83, 84, 77, 76, 23, 84, 6, 79, 80, 75, 82, 83, 84, 79, 78, 5, 8, 76, 73, 34, 84, 75, 84, 79, 52, 43, 77, 79, 76, 68, 74, 78, 11, 29, 54, 57, 73, 74, 72, 40, 70, 76, 60, 56, 73, 73, 83, 82, 30, 35, 83, 3, 24, 84, 78, 82, 18, 35, 75, 12, 64, 80, 41, 11, 24, 50, 74, 74, 8, 23, 79, 75, 70, 41, 79, 78, 75, 22, 51, 27, 28, 77, 81, 53, 76, 69, 84, 50, 84, 84, 8, 79, 42, 80, 63, 16, 64, 82, 84, 81, 34, 82, 83, 75, 76, 83, 29, 82, 73, 80, 76, 2, 74, 5, 83, 79, 79, 75, 24, 84, 46, 35, 74, 18, 76, 73, 46, 74, 24, 2, 80, 82, 67, 77, 76, 76, 6, 78, 83, 28, 84, 81, 41, 82, 75, 76, 23, 80, 27, 73, 25, 79, 83, 62, 62, 84, 24, 7, 17, 82, 29, 84, 73, 84, 84, 76, 76, 83, 80, 84, 42, 38, 38, 84, 84, 84, 48, 81, 83, 47, 84, 83, 83, 38, 25, 83, 84, 82, 60, 82, 74, 83, 80, 46, 84, 10, 84, 84, 84, 84, 8, 84, 84, 82, 57, 81, 33, 84, 83, 83, 78, 83, 82, 82, 82, 64, 82, 82, 75, 83, 12, 80, 80, 35, 83, 81, 81, 82, 54, 84, 83, 83, 81, 23, 81, 84, 67, 84, 83, 83, 21, 65, 83, 81, 68, 82, 80, 80, 84, 80, 82, 81, 83, 79, 83, 21, 15, 83, 83, 83, 47, 84, 84, 13, 84, 36, 53, 83, 84, 73, 80, 13, 14, 80, 28, 80, 79, 79, 34, 80, 83, 84, 13, 84, 82, 82, 83, 81, 79, 83, 82, 83, 83, 83, 50, 84, 6, 84, 76, 59, 46, 44, 80, 38, 81, 83, 61, 80, 82, 84, 73, 79, 82, 20, 83, 81, 81, 31, 82, 81, 82, 82, 84, 80, 62, 81, 84, 84, 55, 79, 78, 78, 84, 14, 79, 71, 42, 61, 82, 82, 66, 81, 83, 6, 84, 76, 77, 76, 11, 52, 71, 81, 77, 68, 47, 82, 82, 34, 82, 82, 81, 35, 20, 11, 62, 83, 76, 81, 81, 38, 2, 79, 30, 77, 81, 44, 3, 42, 77, 19, 44, 28, 81, 49, 83, 20, 84, 81, 78, 7, 79, 61, 84, 44, 67, 77, 84, 84, 84, 80, 82, 82, 76, 82, 77, 76, 80, 74, 80, 81, 82, 82, 84, 74, 18, 74, 73, 18, 82, 83, 28, 84, 82, 83, 83, 34, 34, 25, 82, 84, 19, 77, 70, 82, 82, 83, 82, 83, 83, 11, 83, 83, 82, 83, 82, 28, 48, 84, 84, 84, 83, 84, 83, 84, 83, 84, 64, 83, 53, 82, 28, 82, 82, 83, 83, 79, 83, 84, 82, 40, 84, 84, 84, 84, 27, 82, 75, 66, 80, 84, 81, 82, 82, 82, 82, 30, 84, 83, 81, 84, 83, 13, 55, 83, 84, 68, 83, 25, 84, 84, 84, 84, 84, 84, 81, 21, 84, 7, 43, 18, 23, 81, 82, 82, 83, 84, 81, 49, 43, 82, 84, 44, 84, 84, 81, 81, 16, 78, 79, 79, 12, 84, 81, 70, 74, 82, 79, 34, 84, 79, 84, 81, 82, 84, 81, 83, 79, 80, 42, 33, 32, 80, 81, 46, 81, 13, 81, 81, 81, 82, 47, 82, 65, 82, 82, 82, 77, 82, 42, 67, 83, 13, 8, 16, 84, 17, 38, 84, 84, 14, 79, 80, 80, 80, 7, 13, 3, 60, 81, 82, 61, 31, 84, 82, 77, 2, 53, 84, 75, 74, 77, 81, 79, 79, 80, 19, 81, 9, 77, 77, 3, 79, 82, 82, 83, 83, 6, 28, 14, 10, 78, 18, 80, 68, 27, 8, 83, 61, 81, 63, 63, 34, 81, 82, 82, 77, 6, 81, 80, 25, 83, 79, 79, 79, 82, 79, 83, 3, 25, 83, 82, 82, 81, 82, 82, 78, 79, 81, 81, 81, 81, 81, 81, 36, 7, 80, 80, 69, 80, 65, 18, 35, 79, 16, 78, 77, 70, 45, 77, 76, 76, 83, 77, 77, 81, 76, 76, 84, 82, 81, 75, 81, 74, 75, 81, 81, 80, 78, 48, 11, 77, 77, 25, 79, 79, 79, 7, 80, 77, 83, 21, 38, 82, 43, 69, 43, 79, 49, 56, 82, 40, 76, 81, 47, 54, 79, 80, 29, 73, 82, 80, 76, 82, 41, 80, 80, 67, 78, 79, 59, 58, 82, 82, 82, 81, 82, 84, 84, 7, 82, 84, 81, 84, 83, 82, 82, 56, 22, 82, 76, 84, 56, 80, 81, 81, 81, 77, 77, 79, 78, 76, 47, 75, 76, 75, 64, 64, 79, 79, 76, 47, 2, 83, 77, 77, 29, 80, 79, 79, 79, 3, 26, 71, 55, 75, 24, 80, 81, 56, 83, 78, 81, 39, 8, 69, 78, 79, 80, 78, 73, 79, 79, 80, 32, 78, 79, 79, 79, 63, 81, 83, 78, 59, 66, 80, 21, 76, 78, 78, 78, 73, 78, 75, 40, 12, 18, 16, 40, 29, 77, 79, 74, 43, 77, 11, 76, 74, 75, 74, 73, 81, 81, 81, 81, 81, 81, 81, 81, 78, 19, 81, 28, 34, 78, 36, 80, 75, 3, 78, 46, 81, 11, 84, 73, 81, 56, 73, 9, 74, 73, 81, 81, 82, 78, 77, 30, 76, 31, 82, 70, 70, 75, 76, 76, 78, 43, 74, 76, 75, 76, 76, 34, 77, 77, 75, 79, 75, 4, 76, 15, 82, 82, 76, 29, 77, 23, 77, 83, 82, 82, 82, 77, 79, 83, 83, 82, 80, 74, 13, 75, 67, 83, 28, 14, 75, 78, 43, 74, 78, 82, 73, 81, 47, 84, 59, 81, 27, 3, 81, 82, 81, 75, 84, 25, 83, 84, 82, 82, 79, 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78, 3, 77, 65, 24, 76, 6, 73, 77, 79, 79, 75, 73, 81, 51, 83, 43, 78, 73, 74, 74, 76, 73, 73, 40, 74, 74, 75, 75, 76, 57, 21, 19, 3, 3, 3, 2, 43, 73, 15, 76, 78, 73, 80, 73, 73, 77, 73, 16, 20, 71, 75, 74, 74, 75, 58, 75, 80, 84, 84, 75, 70, 83, 79, 74, 77, 74, 74, 48, 22, 76, 50, 35, 29, 55, 26, 22, 3, 23, 57, 73, 74, 38, 79, 79, 83, 53, 74, 71, 74, 57, 80, 79), FAIL = c(0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 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, 1, 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, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 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, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 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, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 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, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 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, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 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, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0), Primaries = c(1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 4, 2, 2, 3, 3, 2, 4, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1), Age = c(73, 62, 65, 82, 74, 83, 84, 66, 87, 48, 69, 74, 76, 69, 78, 62, 76, 67, 67, 74, 77, 57, 77, 64, 43, 56, 68, 51, 56, 78, 78, 63, 56, 67, 50, 87, 81, 72, 48, 61, 70, 76, 68, 76, 72, 65, 65, 53, 77, 29, 72, 70, 71, 76, 81, 74, 89, 61, 63, 45, 85, 87, 71, 41, 81, 68, 68, 72, 69, 87, 57, 82, 39, 79, 47, 64, 72, 89, 92, 84, 76, 36, 78, 67, 90, 39, 74, 70, 86, 73, 61, 41, 61, 71, 75, 75, 80, 77, 70, 53, 69, 74, 81, 81, 81, 69, 84, 65, 76, 66, 72, 91, 69, 79, 64, 70, 70, 74, 85, 92, 51, 74, 43, 72, 85, 68, 82, 67, 80, 66, 67, 72, 79, 77, 76, 69, 88, 43, 78, 62, 71, 81, 68, 85, 74, 75, 64, 68, 80, 58, 79, 51, 51, 60, 67, 66, 72, 70, 91, 69, 53, 76, 67, 72, 58, 50, 66, 91, 37, 64, 64, 79, 64, 55, 91, 65, 75, 75, 57, 46, 81, 75, 70, 88, 54, 67, 51, 36, 69, 56, 91, 63, 75, 72, 40, 54, 55, 36, 77, 39, 61, 67, 45, 49, 84, 84, 49, 73, 31, 82, 52, 58, 35, 85, 86, 59, 60, 60, 72, 64, 65, 67, 40, 49, 73, 68, 44, 42, 75, 60, 77, 46, 68, 61, 61, 61, 71, 56, 44, 65, 73, 50, 75, 61, 76, 37, 30, 79, 38, 61, 89, 87, 57, 43, 76, 68, 86, 70, 79, 56, 31, 71, 71, 74, 81, 55, 54, 47, 76, 79, 47, 63, 48, 85, 74, 56, 49, 63, 77, 37, 57, 58, 74, 23, 59, 69, 44, 31, 52, 60, 69, 59, 46, 69, 69, 88, 78, 52, 49, 44, 50, 72, 54, 44, 50, 77, 49, 71, 66, 81, 69, 40, 83, 55, 69, 42, 64, 53, 75, 81, 69, 72, 49, 75, 81, 69, 62, 66, 86, 84, 57, 49, 39, 51, 79, 69, 67, 57, 36, 57, 51, 85, 80, 86, 75, 43, 53, 47, 72, 64, 36, 67, 81, 60, 64, 74, 62, 49, 81, 81, 64, 64, 70, 39, 72, 68, 71, 46, 78, 29, 69, 50, 70, 72, 49, 71, 63, 44, 52, 53, 85, 62, 62, 60, 64, 62, 36, 72, 71, 45, 54, 57, 52, 57, 68, 80, 74, 58, 76, 78, 87, 74, 42, 87, 48, 62, 46, 44, 90, 58, 60, 85, 91, 86, 79, 60, 90, 77, 62, 67, 70, 54, 78, 54, 77, 78, 67, 65, 79, 36, 67, 55, 65, 64, 45, 63, 42, 49, 69, 79, 45, 73, 34, 72, 57, 78, 62, 77, 67, 53, 54, 40, 85, 56, 51, 68, 81, 50, 64, 51, 50, 79, 63, 72, 64, 63, 68, 80, 61, 56, 72, 45, 54, 46, 71, 54, 75, 42, 58, 89, 83, 40, 45, 54, 54, 59, 63, 54, 69, 69, 84, 81, 37, 80, 76, 76, 84, 62, 66, 59, 59, 59, 70, 67, 78, 69, 89, 77, 39, 47, 61, 63, 42, 71, 40, 64, 38, 37, 66, 58, 70, 70, 63, 74, 82, 67, 79, 50, 91, 71, 67, 75, 80, 56, 57, 66, 72, 85, 48, 71, 83, 65, 58, 50, 67, 49, 42, 54, 43, 40, 67, 51, 67, 82, 71, 66, 41, 35, 83, 41, 44, 69, 48, 47, 47, 47, 42, 46, 61, 51, 76, 83, 45, 76, 72, 64, 71, 63, 84, 46, 72, 61, 87, 71, 45, 44, 40, 51, 60, 73, 81, 56, 40, 81, 61, 45, 73, 80, 64, 52, 80, 68, 62, 71, 48, 29, 76, 55, 47, 81, 67, 60, 88, 88, 68, 59, 79, 70, 61, 69, 51, 77, 70, 73, 71, 87, 53, 56, 61, 62, 66, 34, 70, 75, 68, 69, 79, 70, 49, 61, 54, 55, 68, 38, 67, 71, 74, 41, 88, 42, 61, 50, 59, 37, 57, 76, 44, 53, 63, 80, 45, 58, 68, 45, 79, 67, 33, 68, 39, 42, 60, 50, 69, 62, 74, 74, 74, 74, 52, 85, 52, 90, 67, 48, 66, 85, 72, 79, 67, 33, 80, 43, 77, 77, 86, 79, 70, 74, 78, 59, 68, 60, 84, 68, 63, 68, 77, 52, 54, 32, 85, 90, 67, 62, 60, 66, 64, 70, 54, 81, 60, 64, 57, 57, 42, 45, 78, 72, 76, 63, 79, 39, 81, 60, 66, 56, 73, 74, 56, 56, 78, 54, 42, 76, 62, 74, 76, 61, 48, 85, 56, 82, 59, 64, 81, 81, 77, 73, 55, 66, 79, 82, 77, 71, 64, 77, 35, 65, 57, 90, 76, 66, 60, 80, 83, 59, 74, 49, 81, 52, 82, 70, 70, 55, 34, 47, 77, 62, 67, 48, 81, 70, 62, 58, 73, 32, 88, 73, 70, 43, 73, 74, 66, 72, 69, 57, 76, 71, 37, 59, 75, 85, 76, 69, 67, 49, 43, 68, 68, 76, 40, 33, 46, 61, 91, 74, 52, 78, 69, 57, 35, 78, 59, 81, 64, 70, 52, 73, 71, 71, 47, 42, 53, 62, 67, 83, 75, 59, 53, 69, 61, 40, 56, 62, 65, 82, 53, 70, 65, 48, 45, 66, 73, 72, 46, 84, 86, 37, 78, 39, 51, 40, 52, 88, 88, 34, 84, 64, 62, 62, 43, 88, 77, 66, 81, 42, 39, 43, 71, 51, 77, 45, 59, 59, 70, 37, 75, 83, 55, 85, 65, 89, 50, 74, 62, 64, 43, 73, 52, 71, 34, 54, 75, 66, 69, 72, 70, 48, 62, 50, 78, 75, 54, 77, 92, 82, 72, 85, 68, 47, 67, 65, 70, 79, 82, 56, 69, 71, 54, 84, 76, 50, 70, 41, 41, 64, 39, 82, 61, 64, 45, 74, 41, 41, 50, 83, 59, 59, 69, 66, 52, 55, 57, 62, 68, 52, 52, 72, 55, 78, 67, 67, 68, 68, 66, 46, 43, 41, 64, 42, 40, 55, 50, 74, 81, 74, 38, 54, 38, 47, 61, 81, 53, 59, 49, 78, 78, 70, 80, 74, 74, 53, 61, 62, 65, 82, 54, 84, 61, 72, 79, 54, 63, 69, 69, 76, 66, 67, 60, 44, 68, 39, 88, 80, 71, 57, 80, 42, 75, 75, 50, 69, 52, 64, 64, 34, 75, 51, 56, 46, 65, 69, 76, 75, 58, 78, 58, 51, 61, 69, 61, 79, 58, 56, 71, 34, 57, 46, 67, 81, 48, 85, 50, 57, 36, 60, 49, 58, 41, 60, 74, 64, 52, 67, 41, 75, 70, 43, 43, 64, 79, 30, 73, 78, 87, 46, 68, 49, 90, 65, 41, 73, 39, 82, 70, 79, 79, 51, 65, 51, 74, 68, 72, 87, 58, 40, 37, 69, 60, 70, 69, 49, 70, 87, 45, 77, 49, 66, 47, 72, 70, 64, 75, 49, 49, 77, 87, 65, 67, 69, 76, 83, 87, 68, 88, 58, 40, 65, 41, 71, 85, 69, 52, 40, 77, 87, 49, 67, 40, 38, 58, 42, 40, 72, 68, 47, 74, 52, 46, 69, 62, 60, 74, 44, 70, 61, 61, 46, 52, 60, 66, 60, 53, 40, 79, 70, 83, 73, 68, 33, 68, 72, 52, 64, 59, 44, 67, 78, 82, 77, 66, 77, 78, 48, 73, 64, 53, 67, 83, 59, 79, 46, 66, 44, 84, 79, 50, 63, 70, 70, 80, 82, 58, 85, 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91, 67, 87, 66, 69, 75, 54, 80, 82, 89, 83, 83, 79, 38, 49, 65, 57, 76, 61, 84, 81, 45, 74, 56, 83, 80, 71, 50, 70, 65, 68, 82, 28, 62, 79, 77, 53, 63, 68, 74, 87, 42, 73, 79, 49, 74, 48, 50, 80, 79, 82, 89, 80, 69, 60, 39, 90, 86, 81, 78, 70, 61, 67, 57, 86, 41, 80, 52, 48, 70, 49, 68, 73, 76, 90, 44, 68, 76, 63, 57, 80, 72, 41, 65, 37, 82, 61, 41, 73, 74, 71, 57, 85, 87, 87, 83, 84, 86, 89, 82, 84, 23, 46, 42, 26, 84, 70, 69, 67, 72, 86, 42, 47, 64, 65, 79, 39, 70, 79, 38, 44, 76, 61, 82, 43, 78, 39, 64, 65, 65, 49, 80, 84, 68, 63, 66, 65, 78, 86, 68, 74, 70, 47, 62, 23, 61, 50, 41, 39, 43, 49, 68, 68, 78, 83, 64, 77, 61, 86, 86, 67, 49, 61, 49, 46, 85, 59, 59, 70, 59, 71, 41, 31, 50, 61, 63, 79, 67, 68, 66, 69, 74, 47, 68, 87, 87, 59, 66, 60, 51, 57, 82, 82, 89, 50, 65, 68, 77, 55, 79, 80, 30, 71, 76, 61, 77, 78, 43, 69, 82, 88, 52, 72, 38, 40, 78, 50, 67, 61, 65, 79, 72, 89, 79, 81, 75, 49, 78, 86, 56, 80, 67, 63, 67, 51, 47, 58, 72, 68, 52, 51, 79, 69, 55, 66, 88, 89, 80, 50, 53, 63, 51, 44, 67, 38, 84, 85, 57, 88, 47, 85, 53, 63, 71, 58, 59, 72, 88, 63, 58, 79, 49, 60, 59, 88, 67, 50, 66, 52, 55, 39, 47, 42, 44, 72, 87, 67, 59, 82, 66, 84, 69, 76, 79, 72, 77, 57, 55, 55, 57, 57, 51, 48, 89, 50, 60, 49, 89, 52, 64, 66, 70, 40, 71, 47, 67, 59, 40, 40, 47, 36, 69, 42, 74, 71, 71, 81, 41, 64, 74, 87, 89, 35, 33, 76, 82, 40, 46, 49, 79, 43, 57, 91, 81, 42, 54, 72, 58, 80, 80, 88, 82, 87, 76, 74, 51, 44, 69, 67, 51, 68, 74, 67, 91, 90, 54, 61, 50, 72, 63, 81, 62, 55, 68, 68, 53, 79, 82, 78, 74, 85, 58, 76, 79, 87, 79, 82, 73, 53, 51, 80, 82, 91, 88, 64, 65, 49, 79, 81, 81, 45, 77, 87, 34, 63, 66, 40, 53), Black = c(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, 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, 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