# WinBUGS14
# Model 3



MODEL 
model
{

for (i in 1:NumBG)
{
	for (t in 1:T)
	{
	# Poisson likelihood for observed counts
	y[i,t]~dpois(mu[i,t])
	log(mu[i,t])<-log(e[i,t])
			+Const
			+Trend*t
			+phi[i]
			+theta[i]
			+TimeRE[t]
			+StateRE[StateNum[i]] 	
			+A[i,t]
			+B[i,t]
			+C[i,t]
		
A[i,t]<-law*lawtotal[i,t]
			+bg*backgroundchecks_pc[i,t] 	
			+buyer*buyerregulations_pc[i,t] 			
			+child*childaccessprevention_pc[i,t]
			+dealer*dealerregulations_pc[i,t] 				
			+dom*domesticviolence_pc[i,t] 				
			+high*highriskgunpossession_pc[i,t]	
			+possess*possessionregulations_pc[i,t]
			+other*other_pc[i,t]

B[i,t]<-law_near*lawtotal_idw[i,t]
			+bg_near*backgroundchecks_pc_idw[i,t] 	
			+buyer_near*buyerregulations_pc_idw[i,t] 			
			+child_near*childaccessprevention_pc_idw[i,t]			
			+dealer_near*dealerregulations_pc_idw[i,t] 				
			+dom_near*domesticviolence_pc_idw[i,t] 				
			+high_near*highriskgunpossession_pc_idw[i,t]	
			+possess_near*possessionregulations_pc_idw[i,t]
			+other_near*other_pc_idw[i,t] 				

C[i,t]<-age24*age25_44_pc[i,t]
			+age45*age45_64_pc[i,t]
			+age65*age65pls_pc[i,t]
			+black*black_pc[i,t]
			+hisp*hisp_pc[i,t]
			+native*native_pc[i,t]
			+urban*rucc_urban[i]
			+rural*rucc_rural[i]
			+area*area_sqkm10k[i]
			+inc*medhhinc10k[i,t]
			+unem*unemployment_rate[i,t]
			+flow*z_inflow[i,t]
			+lib*pollib_median[i,t]
			+mj*drugs_marijua_decrimilization[i,t]
			+pol*apolspt[i,t]




	}
}

for (k in 1:50) {
     StateRE[k] ~ dnorm(0, tau.StateRE)
}


# CAR prior distribution for spatial correlated heterogeneity
phi[1:NumBG]~car.normal(adj[],weights[],num[],tau.phi)

# Prior distributions for the Uncorrelated Heterogeneity
for(i in 1:NumBG)
{
theta[i]~dnorm(0,tau.theta)
}
for(i in 1:T)
{
TimeRE[i]~dnorm(0,tau.TimeRE)
}


# Weights
for(k in 1:sumNumNeigh)
{
	weights[k]<-1
}


Const~dflat()
Trend ~dnorm(0,.00001)
law ~dnorm(0,.00001)
bg~dnorm(0,.00001)
buyer~dnorm(0,.00001)
child~dnorm(0,.00001)
dealer~dnorm(0,.00001)
dom~dnorm(0,.00001)
high~dnorm(0,.00001)
possess~dnorm(0,.00001)
other~dnorm(0,.00001)
law_near~dnorm(0,.00001)
bg_near~dnorm(0,.00001)
buyer_near~dnorm(0,.00001)
child_near~dnorm(0,.00001)
dealer_near~dnorm(0,.00001)
dom_near~dnorm(0,.00001)
high_near~dnorm(0,.00001)
possess_near~dnorm(0,.00001)
other_near~dnorm(0,.00001)
age24 ~dnorm(0,.00001)
age45 ~dnorm(0,.00001)
age65 ~dnorm(0,.00001)
black ~dnorm(0,.00001)
hisp ~dnorm(0,.00001)
native ~dnorm(0,.00001)
urban ~dnorm(0,.00001)
rural ~dnorm(0,.00001)
area ~dnorm(0,.00001)
inc ~dnorm(0,.00001)
unem ~dnorm(0,.00001)
flow ~dnorm(0,.00001)
lib~dnorm(0,.00001)
mj~dnorm(0,.00001)
pol~dnorm(0,.00001)



# Hyperprior distributions on inverse variance parameter of random effects
tau.theta~dgamma(0.5,0.0005)
tau.phi~dgamma(0.5,0.0005)
tau.TimeRE~dgamma(0.5,0.0005)
tau.StateRE ~ dgamma(0.5,0.0005)

sd.theta <- 1/sqrt(tau.theta)
sd.phi <- 1/sqrt(tau.phi)
sd.TimeRE <- 1/sqrt(tau.TimeRE)
sd.StateRE <- 1/sqrt(tau.StateRE)

alpha <- (sd.phi*sd.phi)/((sd.phi*sd.phi)+(sd.theta*sd.theta))
StateVarP <-(sd.StateRE*sd.StateRE)/((sd.phi*sd.phi)+(sd.theta*sd.theta)+(sd.StateRE*sd.StateRE))

}


				
DATA  
list(
NumBG = 3107, 
T=15,


y=structure(.Data=c(
THESE DATA OMITTED DUE TO USER AGREEMENT WITH CDC
),.Dim=c(3107,15)),

	
	
	

e=structure(.Data=c(
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),.Dim=c(3107,15)),





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),.Dim=c(3107,15)),




dealerregulations_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


buyerregulations_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


highriskgunpossession_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


possessionregulations_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


childaccessprevention_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


domesticviolence_pc_idw=structure(.Data=c(
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),.Dim=c(3107,15)),


age65pls_pc=structure(.Data=c(
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),.Dim=c(3107,15)),


hisp_pc=structure(.Data=c(
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),.Dim=c(3107,15)),


native_pc=structure(.Data=c(
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),.Dim=c(3107,15)),


rucc_urban=c(
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rucc_rural=c(
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medhhinc10k=structure(.Data=c(
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unemployment_rate=structure(.Data=c(
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),.Dim=c(3107,15)),


		












StateNum=c(
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,37,37,37,37,37,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48
),


	

#********************** Define Adjacencies *************************************************************

num = c(
5,6,8,6,6,5,6,5,5,7,7,7,6,5,8,5,4,4,6,8,6,6,6,6,7,6,7,6,5,6,7,5,5,5,6,6,6,5,8,7,6,6,6,6,6,8,7,7,5,6,7,5,5,7,6,7,7,6,6,7,6,7,7,7,6,6,5,9,5,6,6,7,6,7,6,8,5,6,4,2,5,4,7,6,6,7,5,5,5,7,9,6,5,5,7,6,5,6,6,9,5,6,6,6,7,5,6,5,6,5,6,6,6,7,5,7,6,5,6,6,5,5,6,6,6,7,5,7,9,6,8,6,6,6,6,7,6,5,7,7,5,6,6,5,5,6,7,6,4,6,6,8,6,4,7,6,7,6,6,5,6,5,5,7,4,5,8,5,4,4,8,8,5,6,5,4,5,4,4,6,6,6,9,5,4,4,4,8,6,5,8,5,8,3,4,6,4,4,3,6,4,6,5,8,6,6,7,6,6,5,4,6,3,6,6,7,5,7,7,7,5,6,4,6,5,5,6,6,5,4,3,3,5,5,6,4,7,7,7,4,8,8,7,6,5,10,7,7,5,6,6,8,9,8,7,4,6,6,7,4,5,5,7,5,6,6,8,4,5,7,9,6,5,5,5,5,7,8,7,7,6,6,4,5,7,5,5,8,7,6,7,9,5,5,5,4,5,6,4,5,5,8,6,4,4,3,3,3,7,6,8,4,6,5,8,3,7,5,4,4,9,6,5,7,4,6,5,7,7,5,7,5,3,2,4,4,9,6,7,5,5,2,10,7,4,3,3,3,4,6,5,4,4,7,4,6,4,6,5,5,6,5,6,6,7,5,7,5,6,6,7,5,7,8,6,6,4,5,8,3,5,4,5,4,7,5,6,5,6,5,8,6,5,5,7,7,6,5,7,6,5,6,6,6,4,7,5,6,8,10,5,7,4,6,5,5,10,5,4,4,8,5,6,8,7,9,7,4,6,5,4,6,8,5,7,6,7,8,4,6,7,5,5,8,5,6,5,4,7,5,6,4,7,7,7,7,4,7,7,4,6,6,5,6,7,7,6,4,5,5,4,6,5,6,4,6,6,6,5,4,6,6,8,4,7,8,7,5,8,7,6,6,6,6,7,5,6,6,6,6,6,7,8,6,8,6,6,7,5,6,5,6,7,6,7,7,5,6,5,5,5,7,9,5,7,7,3,6,4,5,6,8,5,7,6,8,6,8,7,5,9,6,5,4,5,7,3,5,4,4,7,6,7,4,5,7,4,6,6,5,6,6,4,6,5,7,6,6,6,6,4,7,6,6,6,8,6,5,8,4,6,4,7,4,5,7,6,6,7,6,6,5,6,7,6,6,6,5,6,6,6,5,6,6,5,7,6,6,6,9,4,5,6,7,5,7,8,7,6,9,6,6,6,5,4,7,5,7,7,5,7,6,5,6,9,6,6,3,7,7,7,7,7,8,7,3,8,5,6,6,7,8,6,5,6,7,7,7,6,6,6,6,5,9,6,7,4,5,5,5,6,7,6,7,6,5,6,6,6,6,8,7,5,4,5,8,7,7,9,8,6,6,6,5,7,6,5,7,8,7,7,6,5,8,6,6,6,5,6,6,7,6,5,5,6,7,7,5,7,4,5,5,6,6,5,6,6,6,6,5,7,6,6,5,6,5,7,6,6,6,7,5,5,4,6,6,6,5,7,8,6,6,6,5,7,7,6,7,6,7,7,6,6,7,8,8,6,7,7,6,8,8,7,7,8,8,7,8,7,7,7,6,5,6,6,6,8,7,8,6,6,6,7,6,7,7,6,6,6,6,6,7,5,7,6,7,6,6,9,6,7,7,7,7,7,6,6,6,6,6,6,7,7,5,8,7,7,7,5,8,7,8,7,7,7,4,6,7,6,7,7,7,7,7,6,6,7,7,6,7,8,6,8,7,7,7,7,6,6,5,8,5,5,6,5,6,6,6,7,5,7,7,6,7,6,7,6,6,6,6,8,6,7,5,8,6,6,5,6,7,6,5,5,7,6,6,5,7,7,7,6,6,6,4,6,6,7,6,6,7,7,6,6,7,5,7,6,5,6,7,8,6,6,7,6,6,6,6,6,7,7,6,5,6,6,5,6,6,6,6,5,6,5,6,6,6,7,6,7,6,5,7,6,8,6,6,6,5,6,6,7,5,6,6,7,7,7,5,6,6,6,6,4,6,6,5,4,5,6,6,7,7,6,7,5,6,6,6,5,4,5,6,6,5,6,5,5,6,7,7,6,5,5,5,9,6,7,7,7,6,6,5,7,8,5,5,5,6,4,6,7,7,6,4,5,7,5,7,6,5,7,6,6,7,6,6,6,6,6,5,6,6,6,6,6,7,7,7,6,7,5,6,5,6,7,8,6,7,5,6,7,6,7,6,5,5,5,5,6,5,6,6,5,6,6,6,6,6,5,5,6,8,8,5,8,6,8,5,7,5,6,6,7,6,6,6,6,6,5,4,6,7,5,6,7,5,6,6,5,5,5,7,8,4,6,3,7,7,5,7,6,5,3,5,4,8,6,7,4,8,7,8,3,6,5,6,6,5,5,4,6,6,5,4,4,4,4,6,3,4,6,6,3,4,6,6,3,5,8,8,7,6,5,5,5,8,7,7,6,5,6,7,6,7,5,6,6,5,8,4,4,2,3,8,7,3,4,6,6,4,5,1,6,4,4,10,5,5,8,4,6,5,3,6,6,6,7,6,7,6,7,6,3,7,6,8,6,5,6,3,6,7,5,7,7,7,5,5,5,6,5,9,7,7,7,7,7,5,7,6,7,6,6,4,7,4,7,8,6,6,5,6,7,4,7,7,6,8,6,6,7,6,7,8,7,5,5,7,6,3,7,4,6,6,6,6,6,4,7,8,6,7,9,4,6,7,6,4,5,8,5,7,6,6,4,6,4,7,5,6,6,6,6,7,6,7,6,5,6,5,7,5,6,3,4,6,5,3,6,6,5,5,4,8,6,5,7,6,8,6,5,6,6,6,7,5,7,7,8,6,4,2,6,9,7,6,4,6,6,7,6,9,5,6,6,6,6,5,5,6,7,5,5,7,6,7,5,6,7,9,5,6,6,5,6,5,5,5,5,6,7,6,5,6,5,5,5,7,5,5,7,6,6,6,6,4,7,6,5,6,6,7,5,7,6,6,6,6,7,6,7,6,7,7,5,6,8,6,6,6,8,6,5,5,6,4,6,6,4,7,7,7,6,7,5,5,7,8,7,5,7,6,7,7,6,7,5,8,7,6,6,7,6,5,6,6,5,7,6,6,6,5,7,6,6,6,6,5,7,6,6,5,6,5,6,6,6,6,6,6,6,7,8,7,7,6,6,6,7,6,5,6,5,6,7,7,6,6,5,6,6,6,7,6,5,6,6,5,7,5,5,6,6,7,7,5,6,7,6,7,6,7,7,6,6,5,8,7,6,6,6,6,6,6,5,6,6,5,5,7,7,5,6,7,6,5,6,5,6,5,7,5,5,7,8,7,5,5,7,6,5,4,3,7,7,4,4,6,6,5,8,6,3,4,6,8,8,9,8,7,3,6,4,3,7,5,3,7,4,4,6,5,8,4,9,5,6,5,5,6,7,6,6,6,6,7,8,7,4,4,5,5,5,3,3,5,5,6,7,6,6,5,6,6,6,5,6,5,8,6,8,6,6,5,11,7,6,5,6,9,4,5,6,5,6,7,5,6,7,6,7,7,8,7,5,4,5,6,5,6,6,6,5,8,5,6,6,5,6,6,8,5,8,8,8,5,6,6,6,6,6,5,6,6,7,6,7,7,6,8,6,5,6,5,7,5,6,5,6,7,5,6,6,6,5,7,5,5,7,7,6,7,6,5,6,9,4,4,7,6,8,7,5,9,4,3,13,7,5,4,6,5,4,9,7,6,5,5,6,6,7,7,4,4,5,5,7,6,5,6,5,6,7,3,6,4,5,6,6,6,5,6,6,7,6,5,5,4,6,5,5,5,4,9,7,3,4,4,6,8,10,8,7,7,8,6,7,7,6,5,7,8,4,6,6,5,6,6,7,4,6,5,4,6,7,8,7,5,7,4,4,6,6,7,7,4,4,5,6,6,5,6,5,5,3,5,4,6,8,3,6,7,5,6,7,6,5,5,8,4,6,5,6,8,6,5,6,6,6,4,7,4,6,5,4,6,4,4,6,5,7,6,6,5,4,6,7,5,6,6,5,7,5,8,7,5,5,6,6,6,6,5,3,7,5,6,5,5,7,7,4,7,5,7,4,6,7,7,8,6,5,5,6,9,6,7,5,3,6,6,6,7,6,6,7,5,7,9,7,2,7,4,5,4,4,7,5,5,7,4,6,8,8,7,6,8,7,5,7,6,8,6,6,7,6,4,7,7,7,5,6,8,6,5,5,8,6,6,5,4,4,5,6,7,4,6,3,6,5,8,4,5,6,5,6,4,6,6,5,6,6,8,8,5,7,6,7,4,4,7,5,6,4,8,3,6,6,5,7,7,6,7,5,5,6,5,7,7,6,5,7,5,7,6,7,6,7,5,6,5,7,6,7,6,6,6,8,6,6,4,5,6,6,5,6,6,6,6,8,7,7,5,7,6,6,6,7,6,7,7,3,7,7,5,5,6,7,6,6,5,6,6,5,6,7,5,5,6,6,4,4,6,6,5,6,5,7,5,7,5,6,6,6,8,6,6,6,7,7,6,6,7,5,6,7,5,6,6,6,8,8,6,7,7,8,7,6,6,6,4,5,6,6,7,6,6,7,6,7,7,6,6,5,4,6,6,6,6,6,6,7,6,6,7,4,8,6,7,6,6,8,6,7,5,5,4,6,6,5,7,6,6,7,5,5,5,7,8,7,6,6,6,4,7,6,8,6,7,6,6,4,6,5,6,4,6,5,7,2,5,4,7,6,5,8,7,5,4,6,5,7,5,6,4,6,8,6,6,6,6,3,6,7,4,9,8,6,6,5,5,5,6,6,6,6,5,7,8,7,6,5,5,6,6,5,8,6,6,6,5,8,5,6,4,7,5,8,5,5,7,5,6,7,5,7,5,4,6,7,9,6,6,5,8,6,3,5,9,5,6,5,7,8,4,6,5,6,5,6,6,8,9,7,7,5,7,4,6,4,6,4,6,7,6,7,5,5,3,6,5,4,5,4,7,6,7,5,6,4,6,6,8,5,8,6,7,6,4,7,7,7,4,6,6,5,8,7,10,9,4,6,5,6,6,7,5,7,6,6,5,4,7,8,5,5,6,5,9,6,6,5,8,5,5,7,7,7,4,5,5,6,6,5,7,5,6,5,6,4,8,7,7,6,5,7,6,5,6,10,6,6,5,6,6,5,8,6,7,6,6,7,7,8,6,7,5,6,6,6,7,6,6,6,6,5,7,5,6,6,6,5,7,6,5,5,7,7,6,7,5,8,6,6,6,6,7,6,6,7,6,6,7,6,5,5,10,5,8,8,7,6,5,6,6,5,5,5,5,7,8,5,5,5,5,7,5,6,4,7,7,6,6,6,5,6,7,4,5,6,5,6,6,6,7,5,8,7,7,7,6,6,6,6,7,7,7,6,4,6,5,5,7,5,6,6,5,7,7,5,6,8,4,7,7,8,6,6,6,5,8,5,7,7,7,7,7,6,5,6,4,6,7,7,5,7,6,5,6,2,5,8,5,6,4,7,5,6,7,5,6,6,7,5,5,5,6,5,5,7,5,9,8,5,5,6,6,7,6,6,5,8,5,7,7,7,6,7,7,3,7,5,6,8,7,7,6,5,6,5,6,6,3,7,6,6,5,7,7,7,4,6,6,7,6,6,6,6,6,7,6,6,7,5,6,8,5,6,8,5,5,7,6,5,8,5,4,7,6,7,6,5,5,6,7,7,7,6,6,4,7,6,7,8,5,4,6,5,7,6,6,6,6,7,7,7,5,7,5,5,8,7,6,6,5,6,5,7,6,4,5,6,7,6,6,5,7,6,6,8,7,7,5,5,7,7,4,5,6,6,7,5,6,5,7,6,6,3,4,7,7,4,8,6,6,8,7,4,6,7,5,5,5,6,7,7,6,6,7,7,7,4,4,5,6,7,6,6,6,6,4,7,7,4,8,6,5,4,7,6,8,5,6,6,6,6,6,7,7,6,7,6,7,3,6,5,5,6,7,5,6,3,6,6,7,6,6,5,5,6,6,6,8,5,5,6,6,5,4,8,6,14,6,6,8,8,7,7,4,4,6,6,7,7,6,7,4,4,3,5,5,4,4,5,5,7,7,9,7,6,6,6,4,9,6,8,6,5,7,6,6,7,7,7,6,6,11,6,6,6,6,4,8,7,9,7,6,5,6,9,7,5,7,9,5,6,7,7,7,6,4,6,9,7,5,4,5,6,8,6,5,5,5,7,8,6,6,6,8,6,5,6,6,6,8,5,7,7,7,7,5,5,8,9,8,7,7,5,6,9,7,8,7,5,6,6,7,6,8,5,8,3,2,1,1,6,2,1,2,1,1,2,2,2,2,7,1,2,1,3,2,2,1,7,5,1,4,3,5,2,2,2,2,1,7,5,1,2,1,4,4,7,6,2,4,6,5,4,3,6,4,8,5,5,6,6,6,6,8,8,7,5,7,4,4,7,5,6,7,5,7,4,4,5,4,3,10,8,6,5,5,6,4,6,6,5,6,5,5,8,8,6,5,7,7,7,5,9,6,7,4,5,4,6,5,7,5,8,6,5,5,6,5,7,4,6,7,5,6,7,7,5,6,5,4,6,5,7,7,8,5,7,6,6,8,8,5,7,5,6,6,6,6,7,5,7,7,8,8,7,7,4,6,7,7,6,6,6,4,7,5,7,5,5,6,5,7,5,6,8,6,4,3,6,4,7,5,5,6,6,6,6,6,8,6,5,6,6,5,6,7,8,7,6,5,8,6,7,6,6,7,6,6,6,6,6,6,6,8,8,6,8,6,3,6,7,8,5,7,8,5,5,4,8,8,4,6,7
),
adj = c(
11,24,26,43,51,
13,27,49,50,65,306,
6,23,34,55,57,387,475,485,
11,33,37,53,59,63,
22,28,37,48,58,64,
3,44,51,55,57,
18,20,21,43,50,66,
10,15,28,58,61,
41,56,62,429,498,
8,15,25,28,384,414,472,
1,4,19,24,26,53,59,
13,46,60,65,1378,1404,1443,
2,12,46,50,65,66,
15,19,56,61,62,
8,10,14,56,61,379,428,472,
20,21,23,31,55,
30,39,40,1437,
7,20,27,50,
11,14,26,59,61,62,
7,16,18,21,27,31,336,356,
7,16,20,43,51,55,
5,40,48,52,64,67,
3,16,31,34,35,55,
1,11,43,46,53,66,
10,28,36,48,384,398,503,
1,11,19,44,51,62,
2,18,20,50,306,336,347,
5,8,10,25,48,58,
38,47,54,63,64,
17,40,47,67,1395,1437,
16,20,23,35,319,321,356,
33,46,54,60,63,
4,32,46,53,63,
3,23,35,387,406,
23,31,34,321,406,482,
25,45,48,398,2419,2451,
4,5,58,59,63,64,
29,47,54,1410,1414,
17,40,42,1437,2421,2429,2443,2484,
17,22,30,39,42,52,67,
9,44,57,62,429,463,
39,40,45,52,2421,2445,
1,7,21,24,51,66,
6,26,41,51,57,62,
36,42,48,52,2419,2445,
12,13,24,32,33,53,60,66,
29,30,38,64,67,1395,1414,
5,22,25,28,36,45,52,
2,65,1386,1387,1396,
2,7,13,18,27,66,
1,6,21,26,43,44,55,
22,40,42,45,48,
4,11,24,33,46,
29,32,38,60,63,1410,1418,
3,6,16,21,23,51,
9,14,15,62,379,431,498,
3,6,41,44,383,463,485,
5,8,28,37,59,61,
4,11,19,37,58,61,
12,32,46,54,1401,1404,1418,
8,14,15,19,58,59,
9,14,19,26,41,44,56,
4,29,32,33,37,54,64,
5,22,29,37,47,63,67,
2,12,13,49,1387,1443,
7,13,24,43,46,50,
22,30,40,47,64,
72,73,77,258,1762,1764,1778,1785,2761,
72,73,78,80,1773,
71,76,77,81,2755,2761,
70,72,75,77,79,81,
68,69,71,73,77,78,79,
68,69,72,1762,1770,1773,
75,76,81,82,170,190,193,
71,74,78,79,81,82,
70,74,81,193,1714,1721,2755,2769,
68,70,71,72,2761,
69,72,75,79,80,82,
71,72,75,78,
69,78,
70,71,74,75,76,
74,75,78,170,
103,117,122,125,130,136,141,
88,91,104,152,1112,1134,
107,115,127,147,151,1525,
90,126,154,1453,1508,2097,2117,
90,127,133,147,1554,
84,89,95,104,152,
88,95,102,134,152,
86,87,126,133,1453,1552,1554,
84,103,104,1096,1112,1140,1372,1394,1442,
102,112,131,132,134,137,
110,143,1460,1483,1539,
105,114,151,153,155,
88,89,102,104,109,117,122,
119,132,134,152,1092,1138,
105,135,140,153,157,
110,116,120,129,138,1483,
106,126,148,154,2097,2164,
101,121,129,138,144,1383,1438,2472,2477,
100,116,138,144,156,
89,92,95,109,112,134,
83,91,104,122,136,1372,
84,88,91,95,103,122,
94,97,125,135,142,153,155,
99,118,124,126,148,
85,115,150,1494,1523,1525,
112,131,135,145,157,
95,102,112,117,142,145,
93,98,120,143,1483,
113,119,123,128,132,137,
92,102,108,109,131,145,
111,123,131,137,139,149,
94,115,116,120,150,151,155,
85,107,114,150,151,
98,101,114,120,138,155,156,
83,95,109,122,125,142,
106,124,126,133,140,
96,111,128,132,1086,1138,
98,110,114,116,143,150,
100,130,136,144,1438,
83,95,103,104,117,
111,113,128,149,2141,2507,
106,118,140,146,148,157,
83,105,117,141,142,155,
86,90,99,106,118,133,154,
85,87,147,1525,1554,
111,119,123,1086,1087,2507,2522,
98,100,138,1483,1526,2416,2442,2472,2477,
83,121,136,141,144,156,
92,108,112,113,137,139,146,157,
92,96,111,119,134,137,
87,90,118,126,140,147,
89,92,96,102,132,152,
97,105,108,142,145,157,
83,103,121,130,1372,1380,1438,
92,111,113,131,132,139,
98,100,101,116,129,
113,131,137,146,149,2136,2141,
97,118,124,133,147,153,157,
83,125,130,155,156,
105,109,117,125,135,145,
93,110,120,150,1523,1539,
100,101,121,130,156,
108,109,112,135,142,
124,131,139,148,157,2136,
85,87,127,133,140,151,153,
99,106,124,146,2136,2164,
113,123,139,2141,
107,114,115,120,143,1523,
85,94,114,115,147,153,
84,88,89,96,134,1092,1112,1134,
94,97,105,140,147,151,
86,99,126,2097,
94,105,114,116,125,141,156,
101,116,130,141,144,155,
97,108,124,131,135,140,146,
164,195,196,198,200,207,
160,162,166,183,212,1715,
159,162,166,191,196,
163,168,189,208,209,215,
159,160,196,207,212,
161,168,174,208,214,
158,178,191,195,196,205,206,
169,204,2181,2190,
159,160,188,191,1715,
171,173,177,181,183,184,192,211,
161,163,174,180,209,
165,180,204,210,
74,82,190,194,
167,172,183,193,211,1714,1717,1724,
171,173,176,193,197,199,211,213,
167,172,184,197,211,
163,168,180,185,206,214,
182,189,202,203,1727,
172,187,193,213,
167,179,181,183,212,
164,195,205,206,
177,181,207,212,
168,169,174,206,209,210,
167,177,179,192,200,207,
175,202,204,1727,2191,2192,
159,167,171,177,212,1715,1717,1722,1723,
167,173,192,197,201,
174,205,206,214,
188,203,215,1727,
176,190,193,194,
166,186,191,208,215,1715,1727,1729,
161,175,202,203,209,215,
74,170,187,193,194,
160,164,166,188,196,205,208,214,
167,181,184,200,201,
74,76,171,172,176,187,190,1714,
170,187,190,
158,164,178,198,
158,160,162,164,191,207,
172,173,184,199,
158,195,200,201,
172,197,213,
158,181,192,198,201,207,
184,192,198,200,
175,182,189,204,209,210,
175,186,189,215,1727,
165,169,182,202,210,2188,2190,2191,
164,178,185,191,206,214,
164,174,178,180,185,205,
158,162,179,181,196,200,212,
161,163,188,191,214,215,
161,168,180,189,202,210,
169,180,202,204,209,
167,171,172,173,
159,162,177,179,183,207,
172,176,199,
163,174,185,191,205,208,
161,186,188,189,203,208,
218,223,232,246,260,277,278,
227,228,244,269,271,
216,232,234,236,246,253,277,
227,243,250,256,269,1782,1785,
221,252,266,918,947,1792,2109,
220,247,252,261,266,
223,240,241,246,251,278,
216,222,246,278,
238,242,249,263,265,271,
247,248,253,889,953,
240,241,246,263,275,
217,219,228,269,1782,1790,
217,227,244,252,1765,1790,
237,247,253,261,267,
238,244,267,271,
242,255,259,
216,218,246,
250,258,272,273,2761,
218,236,237,246,276,
239,241,249,265,270,275,
218,234,237,253,
229,234,236,238,253,267,276,
224,230,237,263,267,271,276,
235,255,265,268,270,2752,2766,
222,226,241,246,
222,226,235,240,245,251,270,275,
224,231,243,255,259,262,265,271,
219,242,250,256,262,271,272,
217,228,230,252,267,271,
241,251,270,3085,3088,
216,218,222,223,226,232,234,240,263,276,
221,225,229,253,261,266,889,
225,253,277,279,865,944,953,
224,235,263,265,275,
219,233,243,258,272,1785,
222,241,245,278,3085,3095,
220,221,228,244,261,267,1765,1792,
218,225,229,236,237,247,248,267,277,
260,264,274,277,278,279,1636,1672,
231,239,242,259,265,2752,2761,
219,243,269,271,
268,270,2747,2766,3088,3103,
68,233,250,272,1785,2761,
231,242,255,262,273,2752,2761,
216,254,277,278,
221,229,247,252,267,
242,243,259,272,273,
224,226,238,246,249,275,276,
254,274,279,1634,1687,
224,235,239,242,249,255,
220,221,247,889,891,947,
229,230,237,238,244,252,253,261,
239,257,270,2766,
217,219,227,256,271,
235,239,241,245,257,268,3088,
217,224,230,238,242,243,244,256,269,
233,243,250,258,262,273,
233,259,262,272,2761,
254,264,1636,1644,1687,
226,235,241,249,263,
234,237,238,246,263,
216,218,248,253,254,260,279,
216,222,223,251,254,260,1672,3095,
248,254,264,277,865,1634,1648,
282,284,1807,1823,1833,1845,1853,
282,283,284,285,286,1189,
280,281,284,1184,1189,1807,
281,284,285,1845,
280,281,282,283,1845,
281,283,286,287,1845,2278,2281,
281,285,287,1189,1196,
285,286,1196,2278,2280,
289,290,1163,1172,1175,1744,1745,1756,
288,1165,1172,1747,1756,2224,2232,
288,1163,1167,1180,1181,1744,
294,302,310,327,331,344,353,
294,300,302,305,335,353,381,389,505,
297,312,321,356,357,
291,292,300,344,353,
320,338,339,349,354,
301,315,333,340,
293,309,312,321,328,
303,311,315,317,325,348,
316,327,331,350,
292,294,305,344,345,
296,315,325,333,334,
291,292,310,313,351,353,389,407,
298,311,314,317,330,348,
310,323,327,352,
292,300,335,345,
2,27,347,
344,345,354,
312,328,355,
297,321,326,328,400,422,482,
291,302,304,323,327,351,
298,303,315,317,325,332,337,340,
293,297,308,328,
302,329,351,371,407,449,
303,317,318,330,343,
296,298,301,311,325,332,337,340,
299,341,350,
298,303,311,314,337,339,343,
314,330,341,342,343,
31,321,356,357,
295,337,339,346,
31,35,293,297,309,319,328,357,482,
326,329,352,355,371,493,
304,310,329,351,352,
331,338,339,343,349,350,354,
298,301,311,315,
309,322,328,355,422,493,
291,299,304,310,331,
297,308,309,312,321,326,355,
313,322,323,351,352,371,449,
303,314,318,343,348,
291,299,324,327,344,350,354,
311,315,337,340,346,
296,301,334,
301,333,
292,305,377,381,
20,27,347,356,
311,315,317,320,332,339,340,343,346,
295,324,339,343,349,354,
295,317,320,324,337,338,343,
296,311,315,332,337,
316,318,342,343,350,
318,341,
314,317,318,324,330,337,338,339,341,350,
291,294,300,307,331,345,354,
300,305,307,344,
320,332,337,
27,306,336,
298,303,330,
295,324,338,354,
299,316,324,331,341,343,
302,310,313,323,329,
304,322,323,329,
291,292,294,302,
295,307,324,331,338,344,349,
308,322,326,328,
20,31,293,319,336,357,
293,319,321,356,
360,437,470,489,495,508,
367,389,391,443,505,
358,391,437,470,505,
376,400,404,406,457,458,
427,441,474,507,515,
416,425,426,435,454,484,
386,424,426,435,465,504,
385,390,414,421,467,469,472,
391,434,491,499,513,
359,391,394,434,443,449,494,
396,433,441,459,500,
402,433,444,473,500,515,
377,381,420,470,505,508,
313,322,329,392,394,449,493,
373,382,408,411,446,
372,378,408,410,411,439,481,
410,438,439,478,481,2283,2284,2287,
432,436,442,459,464,483,
361,387,404,406,477,492,
335,370,381,420,
373,410,411,489,495,
15,56,395,405,417,428,431,467,
503,512,2426,
292,335,370,377,505,
372,408,446,2308,
57,455,463,485,487,
10,25,414,503,
365,390,399,415,417,421,469,
364,435,454,465,466,
3,34,376,406,475,477,
401,413,417,432,483,
292,302,359,407,443,505,
365,385,405,417,467,
359,360,366,367,434,437,491,505,
371,394,458,493,494,516,
447,451,478,2300,2314,
367,371,392,449,494,
379,413,417,431,456,483,498,
368,433,453,459,468,490,502,
403,445,486,499,513,516,
25,36,503,2426,2451,
385,412,415,418,426,450,469,
309,361,422,457,458,482,
388,417,424,432,479,
369,444,473,491,510,513,
397,433,453,473,486,513,
361,376,445,458,492,516,
379,390,417,467,
34,35,361,376,387,457,482,
302,313,389,443,449,
372,373,382,481,2306,2308,
430,447,454,466,514,2282,2285,2314,
373,374,378,438,439,440,444,489,495,497,
372,373,378,446,489,
399,418,450,462,501,1875,2463,
388,395,417,483,
10,365,384,421,472,503,
385,399,417,424,426,
363,430,454,484,2318,
379,385,388,390,395,401,405,413,415,424,
399,412,421,462,469,
427,438,506,507,
370,377,452,508,
365,385,414,418,462,469,503,512,
309,326,400,458,493,
427,461,465,466,474,488,
364,401,415,417,426,435,479,504,
363,426,476,484,496,511,2318,
363,364,399,415,424,425,435,450,511,
362,419,423,474,488,506,507,
15,379,467,472,
9,41,456,463,487,498,
409,416,454,2285,2318,
56,379,395,498,
375,388,401,464,479,483,
368,369,396,403,453,468,473,500,
366,367,391,494,499,
363,364,386,424,426,454,465,
375,441,459,461,464,474,
358,360,391,460,491,495,510,
374,410,419,440,451,478,506,507,
373,374,410,481,
410,438,444,497,507,515,
362,368,436,459,474,500,515,
375,459,471,483,502,
359,367,389,407,449,
369,402,410,440,497,500,510,515,
397,404,486,492,516,
372,382,411,448,452,489,
393,409,451,514,2314,
446,452,489,508,
313,329,367,371,394,407,443,
399,412,426,501,511,
393,438,447,478,506,514,
420,446,448,508,
396,403,433,468,480,486,490,
363,386,409,416,430,435,466,
383,480,485,486,487,490,509,
395,429,471,483,487,498,502,
361,400,406,482,
361,392,400,404,422,493,516,
368,375,396,436,441,442,502,
437,495,497,510,
423,436,464,465,474,504,
412,418,421,512,2399,2463,
41,57,383,429,487,
375,432,436,461,479,504,
364,386,423,435,461,466,504,
386,409,423,454,465,488,514,
365,379,390,405,428,472,
396,433,453,490,
365,385,399,418,421,
358,360,370,505,508,
442,456,483,502,
10,15,365,414,428,467,
369,402,403,433,513,
362,423,427,436,441,461,
3,387,477,485,
425,496,1877,1905,1912,2318,
376,387,475,485,492,509,
374,393,438,451,2283,2300,
401,424,432,464,504,
453,455,486,490,
373,374,408,439,2284,2306,
35,309,321,400,406,457,
375,388,395,413,432,442,456,471,
363,416,425,2318,
3,57,383,455,475,477,509,
397,403,445,453,455,480,492,509,
383,429,455,456,463,490,502,
423,427,466,506,514,
358,378,410,411,446,448,495,508,
396,453,455,468,480,487,502,
366,391,402,437,510,513,
376,404,445,477,486,509,
322,326,371,392,422,458,
367,392,394,434,499,516,
358,378,410,437,460,489,497,
425,476,501,511,1877,
410,440,444,460,495,510,
9,56,395,429,431,456,
366,397,434,494,513,516,
368,369,433,441,444,515,
412,450,496,511,1875,1877,
396,442,456,459,471,487,490,
25,380,384,398,414,421,512,2426,
364,424,461,464,465,479,
292,359,360,370,381,389,391,470,
419,427,438,451,488,514,
362,419,427,438,440,515,
358,370,420,448,452,470,489,
455,477,485,486,492,
402,437,444,460,491,497,
425,426,450,496,501,
380,421,462,503,2399,2426,
366,397,402,403,473,491,499,
409,447,451,466,488,506,
362,369,440,441,444,500,507,
392,397,404,445,458,494,499,
524,530,536,539,553,
539,541,559,560,2174,2205,
522,531,537,552,555,
531,537,2745,2759,3096,
544,545,556,2950,2956,
519,523,526,528,531,542,555,
522,528,529,532,535,536,548,550,555,
517,535,536,539,559,
527,544,556,1590,1608,2944,2950,
522,531,542,549,557,3096,3104,
525,1590,2944,
522,523,533,535,542,546,
523,536,540,548,
517,539,553,554,2196,
519,520,522,526,537,3096,
523,543,550,552,555,558,1716,2744,
528,538,542,546,1564,
541,545,547,551,556,1594,1595,
523,524,528,536,546,559,
517,523,524,529,535,540,553,558,
519,520,531,552,2745,2759,
533,542,549,557,1564,1579,1592,3104,
517,518,524,530,554,559,560,
529,536,543,548,558,
518,534,546,547,551,559,1595,1604,2205,
522,526,528,533,538,549,
532,540,548,550,558,
521,525,556,2950,
521,534,551,556,2956,
528,533,535,541,559,1564,1604,
534,541,551,
523,529,540,543,550,
526,538,542,557,
523,532,543,548,
534,541,545,547,2205,2920,2956,
519,532,537,555,2744,2745,
517,530,536,558,1716,1719,2196,
530,539,560,2196,
519,522,523,532,552,
521,525,534,544,545,1594,1608,
526,538,549,3104,
532,536,540,543,553,1716,
518,524,535,539,541,546,
518,539,554,2174,2196,
565,594,635,645,1504,1512,
637,651,962,1464,1515,1548,
574,586,620,628,
579,616,631,661,3066,3077,
561,569,629,635,645,
597,610,612,622,638,648,658,
591,602,635,1505,1530,1540,
603,631,649,658,777,803,
565,623,625,629,644,645,
581,583,587,617,634,652,
618,628,644,647,
575,577,578,583,600,739,746,
585,586,600,621,640,656,
563,586,620,621,642,655,
572,578,581,583,630,647,
582,605,609,616,659,707,726,1207,
572,600,611,640,704,739,
572,575,585,600,647,
564,605,607,610,612,616,631,661,
614,617,618,634,
570,575,583,630,634,652,
576,605,607,659,
570,572,575,581,652,745,746,
640,653,656,657,
573,578,586,600,647,
563,573,574,585,621,628,647,
570,598,606,613,617,652,
593,599,601,633,643,660,
608,615,623,632,645,650,654,
593,595,643,657,727,1071,
567,602,619,629,635,646,
606,607,610,613,659,
588,590,601,643,656,657,
561,596,615,645,810,1471,1504,
590,636,643,986,1028,1071,
594,615,626,654,783,810,
566,608,626,641,648,658,
587,606,652,666,718,
588,633,639,651,660,1527,
572,573,577,578,585,640,
588,593,621,633,655,656,
567,591,619,620,1540,
568,649,785,803,3034,3045,
624,636,637,643,651,660,
576,579,582,607,616,
587,592,598,613,659,707,718,
579,582,592,605,610,659,
589,597,626,632,648,654,
576,616,1199,1207,1276,3042,
566,579,592,607,612,613,622,638,662,
577,640,653,704,
566,579,610,631,658,
587,592,606,610,617,662,
580,617,618,623,625,644,650,
589,594,596,645,654,
564,576,579,605,609,3042,3077,
570,580,587,613,614,634,650,662,
571,580,614,630,634,644,647,
591,602,620,628,629,644,
563,574,602,619,628,642,1540,1544,1563,
573,574,586,601,655,656,
566,610,632,638,648,662,
569,589,614,625,645,650,
604,636,637,1028,1031,
569,614,623,644,
596,597,608,641,654,783,812,
639,642,1498,1542,1544,
563,571,586,619,620,644,647,
565,569,591,619,635,644,646,
575,581,618,634,647,
564,568,579,612,649,658,661,
589,608,622,648,650,662,
588,599,601,639,655,
570,580,581,617,618,630,
561,565,567,591,629,646,1512,1530,1535,
595,604,624,643,660,1028,
562,604,624,651,962,1031,
566,610,622,
599,627,633,642,655,1527,1542,
573,577,584,600,611,653,656,
597,626,658,777,812,824,836,
574,620,627,639,655,1544,1563,
588,590,593,595,604,636,660,
569,571,614,618,619,625,628,629,
561,565,569,589,594,615,623,
591,629,635,
571,575,578,585,586,618,628,630,
566,597,608,622,632,
568,603,631,661,3035,3045,
589,614,617,623,632,662,
562,599,604,637,660,1464,1527,
570,581,583,587,598,666,745,748,
584,611,640,657,688,704,
589,596,608,615,626,
574,601,621,633,639,642,
573,584,593,601,621,640,657,
584,590,593,653,656,688,727,
566,568,597,612,631,641,777,
576,582,592,606,607,707,
588,599,604,636,643,651,
564,579,631,649,3035,3066,
610,613,617,622,632,650,
664,700,752,2062,2089,
663,679,697,719,752,754,2028,2071,2089,
669,678,698,702,703,735,
598,652,699,718,741,748,753,
680,689,700,752,
674,691,694,711,716,
665,698,703,715,717,
671,674,696,741,753,
670,687,696,714,728,753,
684,701,734,750,1014,1051,1070,
690,722,723,729,739,746,
668,670,691,696,716,741,742,
681,693,721,724,750,1040,
681,690,704,713,725,
686,720,731,966,2017,2039,
665,686,702,731,732,735,
664,706,719,738,2028,2094,
667,689,695,700,710,730,
675,676,713,721,724,725,736,749,
705,706,712,719,733,1210,1271,
686,695,732,743,751,
672,693,750,1014,
716,723,741,745,748,
677,678,683,731,732,743,2017,2039,
671,705,712,714,728,737,747,
653,657,704,725,727,744,749,
667,680,696,697,710,714,742,747,752,
673,676,704,709,713,715,722,739,
668,674,692,710,711,742,
691,695,710,711,732,735,
675,684,750,1005,1014,1040,
668,711,716,717,729,
680,683,692,710,730,732,751,
670,671,674,689,714,742,
664,689,747,752,754,
665,669,702,709,715,734,750,
666,707,708,718,726,728,737,753,
663,667,680,730,752,2027,2062,
672,702,731,734,740,979,1070,
665,678,698,701,731,734,
665,669,711,717,735,
577,611,653,676,688,690,725,739,
682,687,712,719,747,754,
679,682,719,738,1208,1271,
576,606,659,699,718,726,
699,726,733,737,1207,
690,698,713,715,721,750,
680,689,691,692,695,742,
668,691,692,694,703,717,735,
682,687,705,728,733,737,
676,681,690,709,721,
671,687,689,696,747,
669,690,698,709,717,722,
668,674,685,694,723,729,741,
669,694,703,711,715,722,729,
598,606,666,699,707,
664,679,682,705,706,738,754,
677,731,740,966,
675,681,709,713,750,
673,690,715,717,729,
673,685,716,729,745,746,
675,681,736,972,1004,1040,
676,681,688,704,749,
576,699,707,708,737,1207,
590,657,688,744,1009,1071,
671,687,699,712,737,753,
673,694,716,717,722,723,
680,695,700,751,2027,
677,678,686,701,702,720,740,
678,683,686,692,695,735,
682,708,712,737,1207,1210,
672,698,701,702,750,
665,678,692,703,711,732,
681,724,749,988,1004,
687,699,708,712,726,728,733,
679,706,719,1208,1226,2094,
572,577,673,690,704,746,
701,720,731,966,979,997,
666,670,674,685,716,748,753,
674,689,691,696,710,
683,686,751,2017,2076,
688,727,749,1009,
583,652,685,723,746,748,
572,583,673,723,739,745,
687,689,697,705,714,754,
652,666,685,741,745,
681,688,725,736,744,988,1009,
672,675,684,693,698,709,721,734,
683,695,730,743,2027,2076,
663,664,667,689,697,700,
666,670,671,699,728,741,
664,697,705,719,747,
756,759,769,779,793,815,842,
755,769,823,827,834,841,842,
776,787,850,1307,3024,3075,
780,813,822,844,847,1534,1546,
755,768,769,778,793,837,
761,764,802,806,811,833,840,
760,763,764,766,787,792,840,
779,791,794,831,839,848,
761,764,766,773,787,788,
760,761,763,776,782,787,811,
767,772,775,801,825,828,830,835,
761,763,771,773,788,789,792,796,
765,768,791,830,835,848,
759,767,778,791,793,835,837,
755,756,759,793,823,832,837,
777,806,807,811,824,836,
766,788,789,795,820,849,852,853,
765,775,801,825,829,835,838,851,
763,766,787,788,799,820,850,
781,813,815,834,842,845,847,
765,772,784,786,825,826,828,830,
757,764,782,785,787,850,3024,3034,
568,641,658,770,803,807,836,
759,768,797,801,821,835,837,851,
755,762,791,793,815,831,845,
758,805,822,843,844,1546,1547,
774,813,834,842,847,1489,1513,
764,776,785,787,807,811,
596,626,798,810,812,
775,786,825,826,828,1311,
603,776,782,803,807,3034,
775,784,809,828,1311,1325,
757,761,763,764,773,776,782,850,
763,766,771,773,789,799,820,
766,771,788,792,794,795,796,853,
819,823,827,1451,1632,1685,
762,767,768,779,793,848,
761,766,789,796,818,840,
755,759,768,769,779,791,815,
762,789,796,839,848,853,
771,789,800,809,849,852,853,
766,789,792,794,818,839,853,
778,821,832,837,1630,1708,
783,805,810,812,843,846,
773,788,820,850,1302,1329,
795,809,828,830,848,853,
765,772,778,821,835,851,
760,806,808,811,833,840,846,
568,603,777,785,807,
816,817,818,831,833,839,840,
780,798,808,843,844,846,
760,770,802,811,812,824,846,
770,777,782,785,803,811,
802,805,816,833,844,846,
786,795,800,828,830,849,853,1301,1325,
594,596,783,798,843,1471,
760,764,770,782,802,806,807,
626,641,783,798,806,824,846,
758,774,781,817,822,845,847,
825,826,838,1332,1346,2368,2376,
755,774,779,793,831,842,845,
804,808,817,822,833,844,
804,813,816,822,831,845,
792,796,804,833,839,840,
790,823,827,832,1632,1696,
771,773,788,799,852,1329,
778,797,801,851,1630,1706,
758,780,813,816,817,844,847,
756,769,790,819,827,832,841,
641,770,806,812,836,
765,772,775,784,814,826,829,838,
775,784,814,825,838,1311,1332,
756,790,819,823,841,1451,1522,
765,775,784,786,800,809,830,
772,825,838,851,2390,
765,767,775,800,809,828,835,848,
762,779,804,815,817,839,845,
769,797,819,823,837,1647,1696,1708,
760,802,804,808,816,818,840,
756,774,781,841,842,1489,1561,
765,767,768,772,778,801,830,
641,770,777,824,
759,768,769,778,797,832,
772,814,825,826,829,2368,2390,
762,794,796,804,818,831,
760,761,792,802,804,818,833,
756,823,827,834,842,1522,1561,
755,756,774,781,815,834,841,
780,798,805,810,844,1471,1547,
758,780,805,808,816,822,843,
774,779,813,815,817,831,
798,802,805,806,808,812,
758,774,781,813,822,1513,1534,
762,767,791,794,800,830,853,
771,795,809,852,1301,1303,
757,773,776,787,799,1302,1307,
772,778,801,821,829,1641,1706,2390,
771,795,820,849,1303,1329,
771,789,794,795,796,800,809,848,
855,859,869,907,920,956,957,
854,859,869,883,907,914,957,
860,875,896,897,905,1459,1531,
870,892,901,902,929,2098,2172,
880,926,933,936,937,946,
854,855,872,907,920,1556,
856,875,896,919,1693,
862,871,878,890,893,911,940,949,
861,890,909,911,917,
871,878,916,2153,2170,
872,903,1497,1521,2114,2154,
248,279,930,944,1648,
870,882,902,913,2100,2126,
868,874,884,925,934,954,
867,898,915,925,932,954,
854,855,883,890,909,923,957,
857,866,902,2126,2172,
861,863,878,940,949,2132,2153,
859,864,903,920,1454,1497,1556,
922,930,943,950,1652,1692,
867,884,910,911,917,925,938,
856,860,1450,1459,1492,1693,
883,897,899,905,914,923,942,
882,895,902,926,929,946,
861,863,871,890,916,956,
921,924,935,936,937,951,
858,906,910,933,937,938,
887,888,894,895,900,904,921,939,
866,877,888,895,902,913,
855,869,876,899,907,914,923,
867,874,917,934,952,
886,904,908,921,939,943,950,951,
885,922,927,935,943,951,
881,891,894,900,947,948,
881,882,894,895,913,
225,247,266,891,953,955,
861,862,869,878,909,956,957,
266,887,889,900,947,955,
857,901,949,2098,2123,
861,910,911,931,940,
881,887,888,900,913,941,948,
877,881,882,888,921,926,
856,860,897,919,928,942,
856,876,896,905,942,
868,915,924,932,945,1684,1710,
876,883,905,914,958,1467,1496,
881,887,891,894,939,947,955,
857,892,929,931,940,949,
857,866,870,877,882,929,
864,872,916,920,2114,2149,
881,885,921,939,
856,876,897,899,958,1531,
880,915,924,925,937,938,
854,855,859,883,914,1455,1556,
885,939,944,950,953,955,
862,869,890,917,923,952,
874,880,893,911,931,933,938,
861,862,874,893,910,917,938,
919,928,934,954,1653,1686,
866,882,888,894,941,2100,
855,876,883,899,907,1455,1467,
868,898,906,924,925,
863,878,903,920,956,2149,2170,
862,874,884,909,911,952,
220,947,948,2109,2166,
860,896,912,928,1686,1693,
854,859,872,903,916,956,957,
879,881,885,895,904,926,936,951,
873,886,927,943,1652,1661,
869,876,883,909,942,952,
879,898,906,915,935,937,945,
867,868,874,906,915,938,
858,877,895,921,936,946,
886,922,935,945,1650,1661,
896,912,919,934,942,952,
857,877,901,902,931,946,
865,873,944,950,1648,1663,1692,
893,901,910,929,933,940,946,
868,898,954,1667,1684,1704,
858,880,910,931,946,
867,884,912,928,952,954,
879,886,924,927,945,951,
858,879,921,926,937,
858,879,880,906,924,936,
874,880,906,910,911,925,
881,885,900,904,908,955,
861,871,893,901,931,949,
894,913,948,2100,2166,
876,896,897,923,928,952,
873,885,886,922,950,
248,865,908,930,950,953,
898,924,927,935,1650,1710,
858,877,926,929,931,933,
220,266,887,891,900,918,948,
887,894,918,941,947,2166,
861,871,892,901,940,2123,2132,
873,885,908,930,943,944,
879,885,886,921,935,
884,909,917,923,928,934,942,
225,248,889,908,944,955,
867,868,912,932,934,1653,1667,1704,
889,891,900,908,939,953,
854,878,890,916,920,957,
854,855,869,890,920,956,
899,905,1472,1496,1531,
981,987,1002,1043,1062,1067,
963,1044,1065,1072,2449,2476,
995,1042,1048,1064,1066,1073,1078,
562,637,978,1031,1515,
960,989,1008,1043,1044,1072,
967,993,1041,1045,1049,1061,
984,1006,1019,1024,1076,2406,2837,
677,720,740,997,999,1017,2039,
964,983,992,1007,1045,1049,1063,
980,1003,1022,2052,3007,
981,998,1027,1036,1042,1073,
1007,1039,1054,1059,2016,2021,
1018,1023,1035,1053,1055,1077,
724,1001,1004,1005,1040,1050,
1005,1014,1048,1066,
989,1001,1029,1047,1050,1072,
982,986,1012,1030,1069,1075,
1000,1037,1069,2433,2474,
1017,1054,2021,2039,
962,1000,1011,1031,1515,
701,740,997,1010,1052,1070,
968,990,1003,1022,1026,1061,
959,969,1027,1036,1058,1062,1067,
975,1012,1047,1068,1069,2456,2474,
967,991,992,1034,1045,1057,
965,1013,1019,1021,1024,1053,1055,
987,1062,1074,2407,2462,
595,975,1028,1030,1071,1075,
959,985,1043,1044,1062,2407,
736,749,1004,1009,1033,1050,
963,974,1001,1008,1072,
980,1022,1046,1061,
983,1013,1023,1034,1057,
967,983,1015,1034,1063,1078,
964,1026,1039,1049,1059,1061,
1016,1018,1035,1038,1056,
961,1010,1052,1063,1064,1078,
1011,1515,1520,2441,2459,
740,966,979,999,1052,
969,1015,1027,1034,1042,1060,
966,997,1007,1017,1052,1054,1063,
976,978,1011,1031,1037,2433,2485,
972,974,989,1005,1008,1050,
959,1008,1020,1043,1067,
968,980,1026,2052,2081,
724,736,972,988,1050,
693,972,973,1001,1008,1014,1020,1040,1048,
965,1024,1025,1055,2837,2878,
967,970,999,1049,1054,1059,1063,
963,989,1001,1002,1005,1020,1043,
727,744,749,988,1033,1071,1075,
979,995,1051,1052,1064,1070,
978,996,1000,1515,2459,2485,
975,982,1033,1047,1075,
984,991,1021,1023,1034,1053,1060,
672,684,693,973,1005,1051,1064,1066,
992,998,1034,1042,1078,
994,1022,1035,1038,1046,
966,977,999,1054,2039,
971,994,1025,1035,1055,1056,
965,984,1021,1076,
1002,1005,1008,1036,1048,1067,
984,1013,1019,1032,1058,1060,1076,
968,980,990,1016,1038,1046,3007,
971,991,1013,1053,1057,1077,
965,984,1006,1055,
1006,1018,1055,1056,2878,
980,993,1003,1039,1061,2009,2081,
969,981,998,1058,1060,
595,624,636,986,1030,1031,1037,
974,1047,1065,1068,1072,2467,
975,986,1028,1037,1069,
624,637,962,978,1000,1028,1037,
1021,1058,1074,1076,2400,2469,
988,1009,1012,1047,1050,1075,
983,991,992,998,1013,1015,1060,
971,994,1016,1018,1046,1077,
969,981,1020,1048,1067,1073,
976,1000,1028,1030,1031,1069,
994,1016,1022,1056,2987,3007,
970,993,1026,1059,2009,2016,
675,693,724,972,1005,
964,1045,1046,1057,1061,1077,
961,969,998,1015,1073,1078,
959,963,987,1002,1008,1044,
960,963,987,1043,2407,2449,
964,967,983,1041,1049,1057,
990,1016,1022,1035,1041,1061,1077,
974,982,1012,1029,1033,1050,1068,
961,973,1005,1020,1036,1066,1073,
964,967,993,1007,1045,1059,
972,974,988,1001,1004,1033,1047,
672,1010,1014,1064,1070,
979,995,997,999,1010,1063,
971,984,1013,1023,1055,
970,977,999,1007,1017,2021,
971,984,1006,1018,1024,1025,1053,
994,1018,1025,1038,2799,2811,2878,2987,
983,991,1023,1041,1045,1077,
981,1021,1027,1032,1060,1062,1074,
970,993,1007,1039,1049,
998,1013,1021,1027,1034,1058,
964,980,990,993,1026,1041,1046,
959,981,985,987,1058,1074,
967,992,995,999,1007,1052,1078,
961,995,1010,1014,1051,1066,
960,1029,1072,2467,2476,
961,973,1014,1048,1064,
959,981,1002,1020,1036,
982,1029,1047,2456,2467,
975,976,982,1030,1037,2474,
672,701,979,1010,1051,
590,595,727,986,1009,1075,
960,963,974,989,1029,1065,
961,969,1036,1042,1048,
985,1032,1058,1062,2462,2469,
975,986,1009,1012,1033,1071,
965,1019,1021,1032,2400,2406,
971,1023,1035,1041,1046,1057,
961,992,995,1015,1042,1063,
1098,1105,1106,1127,1135,
1084,1098,1105,1118,1136,
1082,1095,1102,1110,1125,1126,
1081,1101,1102,1107,1125,1128,1129,1133,
1091,1093,1098,1108,1117,1118,1127,1141,
1080,1088,1105,1136,2664,
1086,1092,1103,1109,1113,1119,1138,1142,
119,128,1085,1087,1119,1138,
128,1086,1094,1119,2522,2590,2646,2671,
1084,1090,1105,2664,2669,
1091,1099,1103,1108,1115,1120,1142,
1088,1105,1135,2611,2669,
1083,1089,1093,1099,1108,1132,
96,152,1085,1109,1134,1138,
1083,1091,1117,1132,1141,1367,1445,
1087,1113,1119,1121,2671,2698,
1081,1097,1102,1110,1124,1139,
91,1111,1120,1140,1394,1441,
1095,1124,1139,1141,1369,1445,
1079,1080,1083,1105,1118,1127,
1089,1091,1111,1120,1132,
1108,1113,1118,1142,
1082,1102,1106,1128,1129,1135,
1081,1082,1095,1101,1117,1128,1139,
1085,1089,1109,1115,1142,
1107,1114,1116,1123,1126,1130,
1079,1080,1084,1088,1090,1098,1135,
1079,1101,1127,1128,1135,
1082,1104,1123,1125,1126,1133,
1083,1089,1091,1100,1118,1142,
1085,1092,1103,1115,1134,
1081,1095,1124,1126,1131,
1096,1099,1120,1132,1441,
84,91,152,1115,1120,1134,1140,
1085,1094,1100,1118,1119,1121,1136,1142,
1104,1116,1122,1130,
1089,1103,1109,1112,1120,1134,
1104,1114,1122,
1083,1093,1102,1127,1128,1139,1141,
1080,1083,1098,1100,1108,1113,1136,
1085,1086,1087,1094,1113,
1089,1096,1099,1111,1112,1115,1140,
1094,1113,1136,2664,2690,2698,
1114,1116,1130,1389,1390,
1104,1107,1126,
1095,1097,1110,1131,1369,
1081,1082,1107,1126,
1081,1104,1107,1110,1123,1125,1130,1131,
1079,1083,1098,1106,1117,1128,
1082,1101,1102,1106,1117,1127,1129,
1082,1101,1128,1133,
1104,1114,1122,1126,1131,1137,1389,1421,
1110,1124,1126,1130,1137,1369,1423,
1091,1093,1099,1111,1367,1377,1398,1441,
1082,1107,1129,
84,152,1092,1109,1112,1115,
1079,1090,1101,1105,1106,
1080,1084,1113,1118,1121,2664,
1130,1131,1412,1421,1423,1440,
96,119,1085,1086,1092,
1095,1097,1102,1117,1141,
91,1096,1112,1120,
1083,1093,1097,1117,1139,1445,
1085,1089,1100,1103,1108,1113,
1145,1146,1148,1151,1154,
1152,1153,1155,1157,
1143,1151,1154,1158,
1143,1148,1151,1155,
1149,1152,1156,1157,
1143,1146,1150,1154,1155,1156,
1147,1150,1156,
1148,1149,1154,1156,
1143,1145,1146,1158,1731,1733,
1144,1147,1153,1155,1156,1157,
1144,1152,1155,
1143,1145,1148,1150,
1144,1146,1148,1152,1153,1156,
1147,1148,1149,1150,1152,1155,
1144,1147,1152,
1145,1151,1731,1737,1738,
1169,1179,2214,2238,2265,2971,2986,2990,
1161,1162,1171,1172,1174,1175,1178,1182,
1160,1164,1170,1171,1172,1182,2276,
1160,1166,1167,1174,1176,1178,
288,290,1167,1175,1178,
1161,1168,1171,2210,2276,
289,1170,1172,2224,2245,
1162,1174,1176,2814,2834,2858,2871,2877,
290,1162,1163,1176,1177,1178,1180,
1164,1171,1173,1179,2210,2237,2838,
1159,2235,2265,2969,2986,2996,
1161,1165,1172,2245,2276,
1160,1161,1164,1168,1173,1174,
288,289,1160,1161,1165,1170,1175,
1168,1171,1174,2792,2814,2838,
1160,1162,1166,1171,1173,2814,2881,
288,1160,1163,1172,1178,
1162,1166,1167,1177,2849,2877,
1167,1176,1180,1181,2786,2849,
1160,1162,1163,1167,1175,
1159,1168,2237,2238,2838,2959,2976,2990,
290,1167,1177,1181,
290,1177,1180,2786,
1160,1161,
1185,1186,1194,
282,1188,1189,1190,1804,1807,1835,2773,
1183,1186,1193,1194,2277,2279,2280,
1183,1185,1192,
1191,1195,1735,1737,
1184,1190,1196,1732,2773,2784,
281,282,286,1184,1190,1196,
1184,1188,1189,1196,
1187,1193,1195,1196,1735,
1186,
1185,1191,1194,1195,1196,2280,
1183,1185,1193,1195,
1187,1191,1193,1194,
286,287,1188,1189,1190,1191,1193,1732,1735,2280,
1200,1231,1256,1261,1264,
1217,1238,1244,1248,1273,
609,1204,1235,1237,1266,1276,3042,3064,
1197,1256,1264,1267,
1211,1216,1224,1236,1241,1265,
1205,1222,1228,1231,1261,
1227,1232,1248,
1199,1209,1219,1230,1235,1237,
1202,1222,1228,1252,1269,1275,
1224,1241,1247,1279,3027,3043,
576,609,708,726,733,1210,1276,
706,738,1209,1226,1235,1271,
1204,1208,1219,1226,1234,1235,1271,
682,733,1207,1235,1271,1276,
1201,1212,1220,1241,1245,1265,1273,
1211,1220,1245,1256,1265,1267,
1244,1245,1267,
1222,1233,1250,1252,1253,1263,1268,
1219,1225,1229,1230,1255,1274,
1201,1236,1253,1256,1261,1264,1265,1268,
1198,1241,1248,1251,1273,3027,
1232,1248,1251,3031,3050,
1204,1209,1215,1229,1230,1234,
1211,1212,1245,
1240,1243,1259,1269,1274,1275,
1202,1205,1214,1233,1252,1261,1268,
1232,1262,3014,3038,3076,
1201,1206,1236,1241,1247,1253,1279,
1215,1230,1233,1252,1255,1269,1274,
738,1208,1209,1234,1242,2034,2094,
1203,1232,1238,1248,1262,
1202,1205,1231,1272,1275,
1215,1219,1234,1243,1274,
1204,1215,1219,1225,1237,1255,
1197,1202,1228,1261,1264,
1203,1218,1223,1227,1248,1262,3031,3033,3076,
1214,1222,1225,1250,1252,1255,1263,
1209,1219,1226,1229,1242,1243,1277,
1199,1204,1208,1209,1210,1271,1276,
1201,1216,1224,1253,1265,1268,1279,
1199,1204,1230,1255,1257,1258,1266,
1198,1227,1248,1262,1295,
1247,1249,1250,1258,1260,1263,1279,
1221,1246,1259,1270,1272,1275,
1201,1206,1211,1217,1224,1273,3027,
1226,1234,1254,1277,2034,2056,
1221,1229,1234,1259,1274,1277,
1198,1213,1245,1273,
1211,1212,1213,1220,1244,1267,1273,
1240,1259,1270,1278,
1206,1224,1239,1249,1279,3043,3048,
1198,1203,1217,1218,1227,1232,1238,1251,
1239,1247,1258,1260,3048,3072,
1214,1233,1239,1255,1258,1263,
1217,1218,1248,3027,3050,
1205,1214,1222,1225,1233,1269,
1214,1216,1224,1236,1263,1268,1279,
1242,1277,1278,2056,
1215,1225,1230,1233,1237,1250,1258,
1197,1200,1212,1216,1264,1265,1267,
1237,1258,1260,1266,3053,3058,
1237,1239,1249,1250,1255,1257,1260,1263,
1221,1240,1243,1246,1277,1278,
1239,1249,1257,1258,3058,3072,
1197,1202,1216,1222,1231,1264,1268,
1223,1227,1232,1238,1295,3014,
1214,1233,1239,1250,1253,1258,1279,
1197,1200,1216,1231,1256,1261,1265,1268,
1201,1211,1212,1216,1236,1256,1264,
1199,1237,1257,3053,3064,
1200,1212,1213,1245,1256,
1214,1216,1222,1236,1253,1261,1264,
1205,1221,1225,1252,1274,1275,
1240,1246,1272,
682,706,1208,1209,1210,1235,1276,
1228,1240,1270,1275,
1198,1211,1217,1241,1244,1245,
1215,1221,1225,1229,1243,1269,
1205,1221,1228,1240,1269,1272,
609,1199,1207,1210,1235,1271,
1234,1242,1243,1254,1259,1278,
1246,1254,1259,1277,
1206,1224,1236,1239,1247,1253,1263,
1288,1290,1297,1310,1312,1327,1337,1348,
1292,1306,1309,1341,1350,1361,
1293,1294,1308,1323,1333,1335,1359,
1290,1294,1308,1310,1315,1318,1324,1336,1347,
1327,1328,1350,1352,
1316,1354,1355,1357,2352,2381,
1287,1301,1319,1325,1331,1360,1362,
1286,1296,1331,1343,1344,1362,
1280,1337,1348,3028,
1306,1322,1349,1351,1365,
1280,1283,1297,1308,1310,1328,1356,1359,
1313,1316,1344,1355,1366,
1281,1309,1312,1337,1361,3019,3061,
1282,1333,1335,1363,1964,1994,
1282,1283,1308,1323,1336,1339,
1238,1262,1317,3014,
1287,1311,1330,1332,1343,1362,
1280,1290,1327,1328,
1304,1306,1341,1345,1349,1361,3060,
1304,1329,1334,1345,1353,
1305,1335,1340,1352,1354,1356,
809,849,1286,1303,1325,1360,
799,850,1307,1329,1334,1364,
849,852,1301,1329,1353,1360,
1298,1299,1334,1345,1358,3059,3060,
1300,1335,1340,1354,1357,1363,
1281,1289,1298,1341,1349,1350,1365,
757,850,1302,1364,3044,3075,
1282,1283,1290,1294,1359,
1281,1292,1312,1327,1337,1350,
1280,1283,1290,1315,1348,
784,786,826,1296,1325,1332,1362,
1280,1292,1309,1327,1337,
1291,1326,1340,1344,1352,1355,
1324,1347,1989,
1283,1310,1318,1348,
1285,1291,1355,1366,2346,2352,
1295,1348,3014,3016,3028,
1283,1315,1347,
1286,1331,1345,1349,1351,1360,
1321,1338,1366,2332,2346,2377,
1320,1330,1338,1343,1366,
1289,1326,1344,1351,1365,
1282,1294,1333,1339,
1283,1314,1336,1339,1347,1973,1989,2005,
786,809,1286,1301,1311,1362,
1313,1322,1344,1352,1365,
1280,1284,1297,1309,1312,1328,1350,
1284,1290,1297,1327,1352,1356,
799,820,852,1299,1302,1303,1334,1353,
1296,1321,1332,1338,1343,1346,
1286,1287,1319,1344,1351,
814,826,1296,1311,1330,1346,
1282,1293,1323,1339,1964,2004,
1299,1302,1304,1329,1358,1364,
1282,1293,1300,1305,1356,1359,1363,
1283,1294,1324,1339,1342,
1280,1288,1292,1309,1312,3019,3028,
1320,1321,1330,1346,2332,2376,2377,
1294,1323,1324,1333,1336,1342,1973,2004,
1300,1305,1313,1352,1354,1355,
1281,1298,1306,1361,
1336,1339,
1287,1296,1321,1330,1344,1366,
1287,1291,1313,1322,1326,1331,1343,1351,1366,
1298,1299,1304,1319,1349,1353,1360,
814,1330,1332,1338,2376,2377,
1283,1314,1318,1324,
1280,1288,1310,1315,1317,3028,
1289,1298,1306,1319,1345,1351,
1281,1284,1306,1309,1327,1352,1365,
1289,1319,1322,1331,1344,1349,
1284,1300,1313,1326,1328,1340,1350,1356,1365,
1299,1303,1329,1345,1360,
1285,1300,1305,1340,1355,1357,
1285,1291,1313,1316,1340,1354,
1290,1300,1328,1335,1352,1359,
1285,1305,1354,1363,1994,2381,
1304,1334,1364,3018,3059,
1282,1290,1308,1335,1356,
1286,1301,1303,1319,1345,1353,
1281,1292,1298,1341,3060,3061,3068,
1286,1287,1296,1311,1325,
1293,1305,1335,1357,1994,
1302,1307,1334,1358,3018,3044,3074,
1289,1306,1322,1326,1350,1352,
1291,1316,1320,1321,1343,1344,2346,
1093,1132,1385,1398,1445,
1425,1436,1437,2428,2429,2448,
1097,1124,1131,1385,1409,1423,1445,
1374,1376,1392,1406,1411,1415,1416,1446,1448,
1413,1436,1439,2417,2428,
91,103,136,1380,1433,1442,
1375,1388,1402,1424,1444,1447,
1370,1388,1392,1408,1415,
1373,1379,1407,1414,1424,1444,
1370,1415,1419,1444,1446,
1132,1381,1391,1398,1441,
12,1397,1404,1417,1443,
1375,1410,1414,1419,1444,
136,1372,1426,1433,1434,1438,
1377,1391,1398,1405,1409,1427,1430,
1384,1399,1400,1403,1430,1431,
100,1413,1435,1438,2472,
1382,1400,1403,1421,1422,1432,
1367,1369,1398,1409,1445,
49,1387,1396,1422,1432,
49,65,1386,1422,1443,
1373,1374,1408,1415,1434,1444,1447,
1122,1130,1390,1421,1432,
1122,1389,1396,1421,1432,
1377,1381,1411,1427,1430,1441,1448,
1370,1374,1393,1408,1411,1448,
1392,1408,1429,1433,1442,1448,
91,1096,1429,1441,1442,1448,
30,47,1407,1414,1425,1437,
49,1386,1390,1432,
1378,1400,1404,1417,1428,1431,1443,
1132,1367,1377,1381,1385,1409,
1382,1403,1405,1412,1430,
1382,1384,1397,1422,1431,1443,
60,1404,1416,1417,1418,1446,
1373,1413,1420,1424,1435,1439,1447,
1382,1384,1399,1412,1421,
12,60,1378,1397,1401,1416,1417,
1381,1399,1409,1412,1430,1440,
1370,1411,1416,1417,1428,1446,
1375,1395,1414,1424,1425,1439,
1374,1388,1392,1393,1433,1434,
1369,1381,1385,1398,1405,1423,1440,
38,54,1379,1414,1418,1419,
1370,1391,1392,1406,1427,1428,1448,
1137,1399,1403,1405,1421,1440,
1371,1383,1402,1435,1439,2417,2472,
38,47,1375,1379,1395,1407,1410,
1370,1374,1376,1388,1444,
1370,1401,1404,1406,1417,1446,
1378,1397,1401,1404,1406,1416,1428,1431,
54,60,1401,1410,1419,1446,
1376,1379,1410,1418,1444,1446,
1402,1426,1434,1435,1438,1447,
1130,1137,1384,1389,1390,1403,1412,1432,
1384,1386,1387,1400,1432,1443,
1131,1137,1369,1409,1440,
1373,1375,1402,1407,1439,
1368,1395,1407,1436,1437,1439,
1380,1420,1434,1438,
1381,1391,1411,1428,1430,1431,
1397,1406,1411,1417,1427,1431,
1393,1394,1442,1448,
1381,1382,1391,1399,1405,1427,1431,
1382,1397,1400,1417,1427,1428,1430,
1384,1386,1389,1390,1396,1421,1422,
1372,1380,1393,1408,1434,1442,
1380,1388,1408,1420,1426,1433,1447,
1383,1402,1413,1420,1438,
1368,1371,1425,1439,2428,
17,30,39,1368,1395,1425,2429,
100,121,136,1380,1383,1420,1426,1435,
1371,1402,1407,1413,1424,1425,1436,
1137,1405,1409,1412,1423,
1096,1111,1132,1377,1391,1394,1448,
91,1372,1393,1394,1429,1433,
12,65,1378,1387,1397,1400,1422,
1373,1375,1376,1379,1388,1415,1419,
1093,1097,1141,1367,1369,1385,
1370,1376,1401,1406,1416,1418,1419,
1373,1388,1402,1420,1434,
1370,1391,1392,1393,1394,1411,1429,1441,
1500,1506,1509,1534,1546,1547,1553,
875,1459,1480,1486,1492,1522,
790,827,1492,1522,1683,1685,
1458,1462,1517,1518,1530,1535,1536,
86,90,1503,1508,1521,1552,
872,1468,1477,1497,1556,
907,914,1467,1490,1541,1556,
1463,1490,1491,1519,1528,1541,
1464,1510,1527,1551,1559,
1452,1462,1474,1475,1493,1516,1536,
856,875,1450,1473,1480,1531,
93,1466,1483,1539,1551,1559,
1465,1473,1479,1480,1507,1537,
1452,1458,1474,1518,1524,
1456,1478,1491,1501,1514,1519,1533,
562,651,1457,1527,1548,1551,
1461,1469,1502,1507,1537,1545,
1460,1523,1538,1539,1549,1559,
899,914,1455,1490,1496,1499,
1454,1477,1532,1541,1556,
1465,1493,1506,1507,1509,1536,1545,
1482,1487,1503,1552,1554,1560,
594,810,843,1500,1504,1547,
958,1473,1496,1531,1537,
1459,1461,1472,1480,1531,1537,
1458,1462,1514,1516,1524,
1458,1493,1516,1519,1528,1545,
1481,1484,1485,1495,1529,1558,
1454,1468,1487,1497,1503,1532,
1463,1487,1491,1501,1532,1560,
1461,1480,1486,1488,1489,1507,
1450,1459,1461,1473,1479,1486,
1476,1495,1529,1538,1549,1555,
1470,1494,1525,1554,1555,1560,1562,
93,98,110,129,1460,1520,1526,1551,
1476,1485,1498,1540,1544,1557,1558,
1476,1484,1511,1518,1524,1529,1557,
1450,1479,1480,1489,1522,1561,
1470,1477,1478,1503,1532,1560,
1479,1489,1506,1507,1513,1553,
781,834,1479,1486,1488,1513,1561,
1455,1456,1467,1499,1528,1541,
1456,1463,1478,1532,1541,
875,1450,1451,1522,1683,1693,
1458,1469,1475,1536,1545,
107,1482,1523,1525,1549,1555,
1476,1481,1510,1538,1543,1558,1559,
899,958,1467,1472,1499,1502,1537,
864,872,1454,1477,1503,1521,
627,1484,1542,1543,1544,1558,
1467,1490,1496,1502,1528,
1449,1471,1504,1509,1547,1550,
1463,1478,1533,1555,1560,1562,
1465,1496,1499,1528,1537,1545,
1453,1470,1477,1487,1497,1521,1552,
561,594,1471,1500,1512,1550,
567,1518,1530,1540,1557,
1449,1469,1488,1507,1509,1553,
1461,1465,1469,1479,1488,1506,
86,1453,1521,2117,2154,
1449,1469,1500,1506,1517,1536,1550,
1457,1495,1527,1543,1559,
1485,1514,1524,1529,1533,
561,635,1504,1517,1535,1550,
781,847,1488,1489,1534,1553,
1463,1474,1511,1516,1519,1524,1533,
562,962,978,996,1011,1520,1548,
1458,1474,1475,1514,1519,
1452,1509,1512,1535,1536,1550,
1452,1462,1485,1505,1524,1530,1557,
1456,1463,1475,1514,1516,1528,
996,1483,1515,1526,1548,1551,2441,
864,1453,1497,1503,1508,2154,
827,841,1450,1451,1486,1492,1561,
107,143,150,1466,1494,1539,1549,
1462,1474,1485,1511,1514,1518,
85,107,127,1482,1494,1554,
129,1483,1520,2416,2441,
599,639,651,1457,1464,1510,1542,1543,
1456,1475,1490,1499,1502,1519,1545,
1476,1481,1485,1511,1533,1555,
567,635,1452,1505,1518,1535,
856,905,958,1459,1472,1473,
1468,1477,1478,1487,1491,1541,
1463,1501,1511,1514,1529,1555,
758,847,1449,1513,1546,1553,
635,1452,1512,1517,1530,
1452,1458,1469,1493,1509,1517,
1461,1465,1472,1473,1496,1502,
1466,1481,1495,1549,1559,
93,143,1460,1466,1523,
567,602,620,1484,1505,1544,1557,
1455,1456,1468,1490,1491,1532,1556,
627,639,1498,1527,1543,
1495,1498,1510,1527,1542,1558,
620,627,642,1484,1498,1540,1563,
1465,1469,1475,1493,1502,1528,
758,780,1449,1534,1547,
780,843,1449,1471,1500,1546,
562,1464,1515,1520,1551,
1466,1481,1494,1523,1538,1555,
1500,1504,1509,1512,1517,
1457,1460,1464,1483,1520,1548,1559,
90,1453,1470,1503,1554,
1449,1488,1506,1513,1534,
87,90,127,1470,1482,1525,1552,
1481,1482,1494,1501,1529,1533,1549,1562,
859,872,907,1454,1455,1468,1541,
1484,1485,1505,1518,1540,
1476,1484,1495,1498,1543,
1457,1460,1466,1495,1510,1538,1551,
1470,1478,1482,1487,1501,1562,
834,841,1486,1489,1522,
1482,1501,1555,1560,
620,642,1544,
533,538,546,1575,1592,1604,1610,
1568,1601,1607,1615,1619,3086,3101,
1571,1577,1584,1599,
1579,1585,1588,1593,
1565,1597,1611,1619,3086,3099,
1572,1576,1601,2336,2358,3090,
1571,1586,1588,1593,1613,
1566,1570,1577,1584,1586,1589,1600,1613,
1569,1576,1580,1601,1603,1607,
1606,1609,1616,
1591,1603,1605,1618,
1564,1583,1585,1602,1604,1610,
1569,1572,1603,1618,1961,1972,1999,2358,
1566,1571,1582,1586,1596,1598,1599,1617,
1581,1587,1588,1590,1595,1600,1602,1608,1613,
538,1567,1585,1592,1593,1597,3099,3104,
1572,1591,1598,1599,1603,1607,1616,
1578,1600,1614,
1577,1596,1611,1612,1617,1619,
1575,1595,1602,1604,
1566,1571,1589,
1567,1575,1579,1588,1592,1602,1610,
1570,1571,1577,1593,1617,
1578,1595,1608,
1567,1570,1578,1585,1593,1602,1613,
1571,1584,1600,1614,
525,527,1578,1608,
1574,1580,1603,1605,1606,1616,
538,1564,1579,1585,1610,
1567,1570,1579,1586,1588,1597,1612,1617,
534,556,1595,1608,
534,541,1578,1583,1587,1594,1602,1604,1608,
1577,1582,1598,1607,1619,
1568,1579,1593,1611,1612,3099,
1577,1580,1596,1599,1607,
1566,1577,1580,1598,1616,
1571,1578,1581,1589,1613,1614,
1565,1569,1572,1607,3087,3090,3101,
1575,1578,1583,1585,1588,1595,
1572,1574,1576,1580,1591,1618,
541,546,1564,1575,1583,1595,
1574,1591,1606,1618,1982,2008,
1573,1591,1605,1609,1616,1982,2008,
1565,1572,1580,1596,1598,1601,1615,1619,
525,556,1578,1587,1590,1594,1595,
1573,1606,1967,2008,
1564,1575,1585,1592,
1568,1582,1597,1612,1619,
1582,1593,1597,1611,1617,
1570,1571,1578,1588,1600,
1581,1589,1600,
1565,1607,1619,
1573,1580,1591,1599,1606,
1577,1582,1586,1593,1612,
1574,1576,1603,1605,1972,1982,
1565,1568,1582,1596,1607,1611,1615,
1629,1637,1659,1660,1669,1710,
1625,1664,1673,1679,1689,1711,
1654,1657,1665,1670,1678,
1636,1672,1681,1698,3092,3095,
1628,1635,1640,1676,1677,1705,
1621,1658,1679,1682,1690,1711,
1642,1681,1698,1700,1702,
1664,1671,1673,1694,2338,2353,
1624,1635,1671,1677,1694,
1620,1640,1643,1659,1666,1669,1688,1701,
797,821,1639,1646,1706,1708,
1638,1646,1674,1690,1691,1697,1699,1712,
790,819,1674,1685,1696,1697,
1645,1673,1689,1709,2340,2392,
264,279,1648,1662,1687,
1624,1628,1657,1665,1671,1700,1705,2330,2383,2387,2388,
254,274,1623,1644,1654,1672,1681,
1620,1649,1660,1684,1710,1712,
1631,1639,1646,1690,1703,
1630,1638,1646,1703,1706,1709,
1624,1629,1643,1655,1675,1676,1677,1701,1707,
851,1645,1706,2390,
1626,1700,1702,2350,2383,
1629,1640,1651,1656,1675,1688,
274,1636,1654,1670,1687,
1633,1641,1706,1709,2340,2390,
1630,1631,1638,1639,1647,1697,1708,
832,1646,1696,1697,1708,
279,865,930,1634,1662,1663,
1637,1667,1684,1695,1699,1704,1712,
927,945,1661,1669,1688,1710,
1643,1652,1656,1662,1663,1675,1692,
873,922,1651,1656,1661,1688,1692,
912,954,1667,1668,1674,1685,1686,1695,
1622,1636,1644,1657,1670,1681,1700,
1640,1664,1677,1707,1711,
1643,1651,1652,1688,
1622,1635,1654,1665,1700,
1625,1666,1682,1701,1707,1711,
1620,1629,1660,1666,1680,
1620,1637,1659,1680,1691,1712,
922,927,1650,1652,1669,1688,
1634,1648,1651,1663,1675,1687,
930,1648,1651,1662,1692,
1621,1627,1655,1671,1673,1677,1694,1711,
1622,1635,1657,1678,1705,
1629,1658,1659,1680,1682,1701,
932,954,1649,1653,1695,1704,
1653,1674,1683,1685,1686,
1620,1629,1650,1661,1688,1710,
1622,1644,1654,1675,1678,1687,
1627,1628,1635,1664,1694,2353,2387,2388,
254,278,1623,1636,3095,
1621,1627,1633,1664,1689,2331,2338,2392,
1631,1632,1653,1668,1685,1695,1697,1699,
1640,1643,1651,1662,1670,1676,1678,1687,
1624,1640,1675,1678,1705,
1624,1628,1640,1655,1664,1694,
1622,1665,1670,1675,1676,1705,
1621,1625,1689,1690,1703,1709,
1659,1660,1666,1682,1690,1691,
1623,1626,1636,1654,1698,1700,
1625,1658,1666,1680,1690,
1451,1492,1668,1685,1686,1693,
898,932,1637,1649,1704,1710,
790,1451,1632,1653,1668,1674,1683,
912,919,1653,1668,1683,1693,
264,274,1634,1644,1662,1670,1675,
1629,1643,1650,1652,1656,1661,1669,
1621,1633,1673,1679,1703,1709,
1625,1631,1638,1679,1680,1682,1691,1703,
1631,1660,1680,1690,1699,1712,
873,930,1651,1652,1663,
860,875,919,1492,1683,1686,
1627,1628,1664,1671,1677,
1649,1653,1667,1674,1699,1704,1712,
819,832,1632,1647,1697,
1631,1632,1646,1647,1674,1696,
1623,1626,1681,1702,3092,
1631,1649,1674,1691,1695,1712,
1626,1635,1642,1654,1657,1681,2383,
1629,1640,1658,1666,1707,
1626,1642,1698,2350,3092,3098,
1638,1639,1679,1689,1690,1709,
932,954,1649,1667,1684,1695,
1624,1635,1665,1676,1678,
821,851,1630,1639,1641,1645,1709,
1640,1655,1658,1701,1711,
797,832,1630,1646,1647,
1633,1639,1645,1679,1689,1703,1706,
898,945,1620,1637,1650,1669,1684,
1621,1625,1655,1658,1664,1707,
1631,1637,1649,1660,1691,1695,1699,
1720,1722,1723,1724,1725,1727,
76,171,193,1721,1724,
159,166,183,188,1722,1729,
532,553,558,1718,1719,1720,1728,2744,2765,
171,183,1723,1724,
1716,1720,1724,1728,
553,1716,1720,1725,1727,2186,2196,
1713,1716,1718,1719,1724,1725,
76,1714,1724,1728,2743,2753,2756,2769,
183,1713,1715,1723,1726,1727,1729,
183,1713,1717,1722,1724,
171,1713,1714,1717,1718,1720,1721,1723,1728,
1713,1719,1720,1727,
1722,1727,1729,
175,182,186,188,203,1713,1719,1722,1725,1726,1729,2186,2192,
1716,1718,1721,1724,2754,2756,2765,
188,1715,1722,1726,1727,
1731,1734,1736,1738,
1151,1158,1730,1733,1734,1738,
1188,1196,1735,1739,2784,
1151,1731,1734,2776,
1730,1731,1733,1736,1739,2774,2776,2780,2785,
1187,1191,1196,1732,1736,1737,1739,
1730,1734,1735,1737,1738,1739,
1158,1187,1735,1736,1738,
1158,1730,1731,1736,1737,
1732,1734,1735,1736,2784,2785,
1742,1743,1744,1745,1747,1754,
1746,1748,1755,1796,1824,1837,1853,
1740,1743,1750,1752,1754,2218,2260,
1740,1742,1747,2260,
288,290,1740,1745,
288,1740,1744,1747,1756,
1741,1748,1753,1755,1759,
289,1740,1743,1745,1756,2232,2260,
1741,1746,1759,1817,1824,1836,
1750,1753,1757,1760,2218,
1742,1749,1751,1752,1757,2218,
1750,1752,1757,1759,1836,
1742,1750,1751,1754,1834,1836,
1746,1749,1755,1757,1758,1759,1760,
1740,1742,1752,
1741,1746,1753,1758,1829,1837,
288,289,1745,1747,
1749,1750,1751,1753,1759,
1753,1755,1760,1829,2254,2261,
1746,1748,1751,1753,1757,1836,
1749,1753,1758,2218,2254,2257,
1764,1784,1787,1791,1793,
68,73,1764,1770,1788,1789,
1767,1769,1774,1775,1780,1783,
68,1761,1762,1778,1784,1789,1793,
228,252,1772,1779,1790,1792,
1781,1783,2497,2547,2673,
1763,1771,1775,1781,1783,
1777,1780,1788,2559,
1763,1774,1780,2543,2639,2683,
73,1762,1773,1777,1788,
1767,1775,1781,1786,1791,
1765,1779,1781,1786,1792,
69,73,1770,1777,
1763,1769,1783,2490,2528,2571,2639,2736,2739,
1763,1767,1771,1780,1788,1789,1791,
1782,1784,1787,
1768,1770,1773,1788,
68,1764,1784,1785,
1765,1772,1782,1786,1787,1790,
1763,1768,1769,1775,1788,2543,2559,2603,
1766,1767,1771,1772,1783,1786,1792,2547,2591,2668,
219,227,1776,1779,1784,1785,1787,1790,
1763,1766,1767,1774,1781,2497,2528,
1761,1764,1776,1778,1782,1785,1787,
68,219,250,258,1778,1782,1784,2761,
1771,1772,1779,1781,1787,1791,
1761,1776,1779,1782,1784,1786,1791,
1762,1768,1770,1775,1777,1780,1789,
1762,1764,1775,1788,1791,1793,
227,228,1765,1779,1782,
1761,1771,1775,1786,1787,1789,1793,
220,252,1765,1772,1781,2109,2544,2591,
1761,1764,1789,1791,
1804,1813,1835,1839,1840,1841,
1798,1819,1844,1854,2251,2262,
1741,1823,1824,1834,1853,
1802,1805,1806,1847,2267,2273,
1795,1800,1808,1854,2251,2271,
1805,1816,1827,1831,1843,1848,1852,
1798,1808,2234,2271,
1842,1844,1847,1848,2217,2268,
1797,1805,1806,1820,1832,
1809,1810,2775,2778,
1184,1794,1807,1813,1835,1849,
1797,1799,1802,1820,1827,1847,1848,
1797,1802,1813,1832,1841,1846,1849,2273,
280,282,1184,1804,1829,1833,1849,
1798,1800,1812,1825,1854,
1803,1810,1814,1850,1851,2772,2775,
1803,1809,1814,1838,
1814,1815,1822,1839,
1808,1819,1821,1825,1830,1854,
1794,1804,1806,1835,1841,1849,
1809,1810,1811,1815,1838,1839,1850,
1811,1814,1818,1822,1826,1832,1838,
1799,1818,1831,1838,
1748,1824,1834,1836,
1815,1816,1826,1831,1838,
1795,1812,1821,1828,1844,1854,
1802,1805,1826,1827,1831,1832,
1812,1819,1828,1830,1852,
1811,1815,1832,1839,1840,1841,
280,1796,1834,1845,1853,
1741,1748,1796,1817,1834,
1808,1812,1830,
1815,1818,1820,1831,1832,
1799,1805,1820,1831,
1819,1821,1843,1844,1852,1855,
1755,1758,1807,1833,1837,1846,1849,2261,
1812,1821,1825,
1799,1816,1818,1820,1826,1827,
1802,1806,1815,1820,1822,1826,1841,
280,1807,1829,1837,1853,
1752,1796,1817,1823,1824,1836,
1184,1794,1804,1813,1839,1851,2773,
1748,1751,1752,1759,1817,1834,
1741,1755,1829,1833,1853,
1810,1814,1815,1816,1818,
1794,1811,1814,1822,1835,1840,1850,1851,
1794,1822,1839,1841,
1794,1806,1813,1822,1832,1840,
1801,1843,1844,1848,1855,
1799,1828,1842,1848,1852,1855,
1795,1801,1819,1828,1842,1855,2262,2268,
280,283,284,285,1823,2281,
1806,1829,1849,2261,2273,
1797,1801,1805,1848,2217,2267,
1799,1801,1805,1842,1843,1847,
1804,1806,1807,1813,1829,1846,
1809,1814,1839,1851,
1809,1835,1839,1850,2772,2773,2782,
1799,1821,1828,1843,
280,1741,1796,1823,1833,1837,
1795,1798,1808,1812,1819,
1828,1842,1843,1844,
1872,1874,1896,1923,1931,1934,
1869,1873,1904,1952,
1860,1941,1952,2823,
1917,1932,1939,1945,2294,2316,
1858,1950,1952,2439,2823,
1867,1869,1911,1916,1950,2403,2439,
1880,1903,1914,1924,1929,1949,
1876,1897,1901,1914,1921,1949,
1879,1881,1926,1933,1937,
1879,1920,1926,2307,
1899,1900,1911,1913,1936,1955,
1861,1869,1873,1878,1910,1911,1936,
1904,1915,1935,1939,1945,
1857,1861,1867,1873,1950,1952,
1882,1892,1925,1944,2885,2914,
1880,1903,1907,1922,1924,
1856,1923,1928,1934,2826,2854,2888,
1857,1867,1869,1904,1910,
1856,1887,1898,1908,1918,1923,1931,1947,
412,501,1877,1893,1912,2455,2463,
1863,1892,1901,1927,1949,
476,496,501,1875,1912,
1867,1891,1910,1936,2292,2327,
1864,1865,1926,1933,2298,2307,
1862,1871,1907,1909,1924,1929,
1864,1898,1902,1918,1933,1937,
1870,1883,1944,2885,2915,
1882,1903,1944,
1885,1889,1896,1917,1931,1935,1939,
1884,1889,1904,1935,1954,
1907,1909,1922,1926,1937,1951,
1874,1894,1923,1928,1947,
1897,1914,1919,1929,1953,
1884,1885,1896,1934,1940,1941,1954,
1894,1897,1906,1919,1946,1947,1948,
1878,1910,1915,2327,
1870,1876,1901,1925,1927,2869,2914,
1875,1912,1942,2398,2455,
1887,1890,1928,1946,1947,2826,2843,
1909,1929,1951,1953,
1856,1884,1889,1931,1934,1940,
1863,1888,1890,1914,1919,1921,1948,
1874,1881,1906,1908,1918,1937,1947,
1866,1900,1905,1913,1942,1943,2408,2471,
1866,1899,1930,1936,1943,2304,
1863,1876,1892,1921,2869,
1881,1918,1932,1933,1938,
1862,1871,1883,1924,1944,1949,
1857,1868,1873,1885,1910,1915,1935,1952,1954,
476,1899,1912,1942,1943,2318,
1890,1898,1919,1937,1947,1951,1953,
1871,1880,1886,1909,1922,
1874,1898,1918,
1880,1886,1895,1907,1929,1951,
1867,1873,1878,1891,1904,1915,
1861,1866,1867,1916,1936,1955,
476,1875,1877,1893,1905,1942,2318,
1866,1899,1955,2408,2423,2479,
1862,1863,1888,1897,1929,1949,
1868,1891,1904,1910,1945,2310,2327,
1861,1911,1955,2403,2479,
1859,1884,1918,1931,1932,1935,1939,
1874,1881,1898,1902,1908,1917,1931,1932,1938,
1888,1890,1897,1906,1947,1948,1953,
1865,1926,
1863,1897,1901,1948,2798,2825,2869,
1871,1886,1907,1926,
1856,1872,1874,1887,1928,
1862,1871,1880,1903,
1870,1892,1927,1944,
1864,1865,1879,1886,1920,1922,1937,
1876,1892,1925,1944,1949,
1872,1887,1894,1923,2826,
1862,1880,1888,1895,1909,1914,1953,
1900,1936,2304,2323,
1856,1874,1884,1896,1917,1918,
1859,1902,1917,1918,1938,1939,2294,2316,
1864,1879,1881,1902,1938,2298,2307,2316,
1856,1872,1889,1896,1940,2829,2854,
1868,1884,1885,1904,1917,1939,
1866,1867,1878,1900,1911,1930,2292,2323,
1864,1881,1886,1898,1906,1926,1951,
1902,1918,1932,1933,2316,
1859,1868,1884,1917,1932,1935,1945,
1889,1896,1934,1941,2829,2853,
1858,1889,1940,1952,1954,2803,2823,2853,
1893,1899,1905,1912,2398,2471,
1899,1900,1905,2304,2318,2320,
1870,1882,1883,1903,1925,1927,1949,
1859,1868,1915,1939,2294,2310,
1890,1894,1948,2843,
1874,1887,1890,1894,1898,1906,1919,
1890,1897,1919,1921,1946,2798,2843,
1862,1863,1876,1903,1914,1927,1944,
1860,1861,1869,1952,2439,
1886,1895,1906,1909,1937,1953,
1857,1858,1860,1869,1904,1941,1950,1954,
1888,1895,1906,1919,1929,1951,
1885,1889,1904,1941,1952,
1866,1911,1913,1916,2479,
1961,1974,1976,1998,1999,2342,2358,2379,
1964,1975,1978,1992,2001,2002,
1969,1987,1990,1991,2003,2007,
1968,1972,1982,1999,2000,
1980,1990,1993,1995,
1576,1956,1999,2358,
1967,1986,1993,2006,2008,
1970,1977,1983,1985,1988,1997,
1293,1333,1957,1992,1994,2001,2004,
1989,1991,2003,2005,
1978,1981,1992,1996,2333,2371,
1609,1962,2008,
1959,1982,1983,1984,1986,2000,
1958,1971,1975,1987,2007,
1963,1977,1979,1981,1985,1998,2337,2342,
1969,1975,2002,2007,
1576,1618,1959,1982,1999,
1324,1339,1987,2001,2004,2005,
1956,1976,1985,1998,2000,
1957,1969,1971,1987,2001,2002,
1956,1974,1999,2000,
1963,1970,1979,1997,2002,2007,
1957,1966,1979,1981,1992,2002,
1970,1977,1978,1981,2002,
1960,1983,1990,1993,1997,2006,
1966,1970,1978,1979,2337,2371,
1605,1606,1618,1959,1968,1972,1986,2008,
1963,1968,1980,1984,1986,1988,1997,2006,
1968,1983,1985,1988,2000,
1963,1970,1974,1984,1988,1998,2000,
1962,1968,1982,1983,2006,2008,
1958,1969,1973,1975,1991,2001,2005,
1963,1983,1984,1985,
1314,1324,1965,2005,
1958,1960,1980,1995,1997,2003,2007,
1958,1965,1987,2003,2005,
1957,1964,1966,1978,1994,1996,
1960,1962,1980,2006,
1293,1357,1363,1964,1992,1996,2372,2381,
1960,1990,2003,
1966,1992,1994,2333,2372,2381,
1963,1977,1980,1983,1990,2007,
1956,1970,1974,1985,2342,
1576,1956,1959,1961,1972,1976,2000,
1959,1968,1974,1976,1984,1985,1999,
1957,1964,1973,1975,1987,2004,
1957,1971,1975,1977,1978,1979,2007,
1958,1965,1990,1991,1995,
1333,1339,1964,1973,2001,
1324,1965,1973,1987,1989,1991,
1962,1980,1983,1986,1993,
1958,1969,1971,1977,1990,1997,2002,
1605,1606,1609,1962,1967,1982,1986,
1026,1039,2016,2044,2074,2081,
2014,2040,2041,2077,2089,
2046,2047,2050,2055,2060,2078,2093,
2036,2051,2086,2229,2234,
2045,2061,2066,2072,2090,2092,3011,
2010,2041,2054,2062,2083,2089,
2038,2042,2049,2064,2069,2983,2992,
970,1039,2009,2021,2022,2044,
677,686,743,2039,2065,2076,2091,
2023,2042,2049,2084,2087,
2020,2054,2057,2063,2083,2088,
2019,2037,2057,2063,2065,
970,977,1054,2016,2022,2039,2091,
2016,2021,2032,2037,2044,2091,
2018,2049,2058,2084,2213,2246,2972,
2038,2046,2050,2053,2068,2087,
2047,2059,2067,2078,2082,2096,
2036,2051,2055,2060,2075,2085,
700,730,751,2062,2063,2065,2076,2083,
664,679,2043,2071,2077,2094,
2033,2050,2053,2059,2067,2088,
2047,2055,2070,2080,
2033,2045,2053,2072,2073,
2022,2037,2044,2057,2073,2079,
2029,2031,2053,2057,2073,2088,
1226,1242,2043,2056,2094,
2048,2052,2061,2090,2963,2984,
2012,2026,2051,2075,2085,2086,
2020,2022,2032,2057,2065,2091,
2015,2024,2042,2068,2069,2087,
677,686,966,977,1017,2017,2021,2091,
2010,2041,2043,2077,2082,2095,2096,
2010,2014,2040,2054,2059,2088,2096,
2015,2018,2038,2049,2087,
2028,2034,2040,2056,2077,2094,2095,
2009,2016,2022,2032,2074,2079,
2013,2031,2072,2073,2079,2090,
2011,2024,2050,2084,2087,2093,
2011,2025,2030,2055,2078,2080,2082,
2035,2052,2074,2079,2081,2090,
2015,2018,2023,2042,2962,2972,2992,
2011,2024,2029,2046,2053,2067,2078,
2012,2026,2036,
968,1003,2035,2048,2081,2963,3007,
2024,2029,2031,2033,2050,2068,2072,
2014,2019,2041,2083,2088,
2011,2026,2030,2047,2060,
1242,1254,2034,2043,2070,2095,
2019,2020,2032,2033,2037,2073,2088,
2023,2075,2084,2086,2246,2252,
2025,2029,2041,2067,2088,2096,
2011,2026,2055,2085,2093,
2013,2035,2090,2975,2984,3011,
663,700,2014,2027,2083,2089,
2019,2020,2027,2065,2083,
2015,2069,2092,2983,3005,3009,
2017,2020,2027,2037,2063,2076,2091,
2013,2068,2069,2072,2092,
2025,2029,2050,2059,2078,
2024,2038,2053,2066,2069,2072,
2015,2038,2064,2066,2068,2092,
2030,2056,2080,2095,
664,2028,2077,2089,
2013,2031,2045,2053,2066,2068,
2031,2032,2033,2045,2057,2079,
2009,2044,2048,2079,2081,
2026,2036,2058,2084,2085,2086,
743,751,2017,2027,2065,
2010,2028,2040,2043,2071,2089,2095,
2011,2025,2047,2050,2067,
2032,2044,2045,2048,2073,2074,2090,
2030,2047,2070,2082,2095,
1003,1026,2009,2048,2052,2074,
2025,2040,2047,2080,2095,2096,
2014,2019,2027,2054,2062,2063,
2018,2023,2046,2058,2075,2085,2087,2093,
2026,2036,2060,2075,2084,2093,
2012,2036,2058,2075,2229,2252,
2018,2024,2038,2042,2046,2084,
2019,2029,2033,2041,2054,2057,2059,
663,664,2010,2014,2062,2071,2077,
2013,2035,2045,2048,2061,2079,
2017,2021,2022,2037,2039,2065,
2013,2064,2066,2069,2994,3005,3011,
2011,2046,2060,2084,2085,
679,738,1226,2028,2034,2043,
2040,2043,2056,2070,2077,2080,2082,
2025,2040,2041,2059,2082,
86,99,154,2107,2117,2164,
857,892,2120,2123,2143,2172,
2103,2108,2111,2131,2157,2160,
866,913,941,2119,2126,2166,2636,2667,
2116,2124,2125,2134,2161,2171,2532,2730,
2104,2105,2116,2118,2133,2143,
2099,2108,2131,2144,2562,2579,2627,
2102,2105,2112,2116,2122,2134,2171,
2102,2104,2110,2122,2133,2138,2140,2151,
2121,2130,2131,2139,2144,2146,2165,
2097,2117,2145,2147,2164,2169,
2099,2103,2141,2160,2627,2682,
220,918,1792,2166,2544,2699,
2105,2140,2151,2159,
2099,2128,2131,2157,2158,
2104,2113,2122,2134,2165,2167,
2112,2130,2165,2167,2527,2731,
864,903,2117,2145,2149,2154,2162,
2137,2150,2152,2155,2156,2168,
2101,2102,2104,2118,2161,2171,
86,1508,2097,2107,2114,2145,2154,
2102,2116,2119,2143,2161,2173,
2100,2118,2126,2161,2173,2594,2636,
2098,2123,2132,2133,2138,2143,2148,
2106,2122,2140,2146,2158,2165,
2104,2105,2112,2121,2140,2165,
892,949,2098,2120,2132,
2101,2125,2129,2134,
2101,2124,2129,2526,2532,2587,
866,870,2100,2119,2172,2173,
2135,2136,2142,2147,2157,2164,
2111,2142,2150,2157,2158,2163,
2124,2125,2134,2167,2587,2732,
2106,2113,2139,2165,2527,2657,
2099,2103,2106,2111,2144,2146,2158,
871,949,2120,2123,2148,2153,
2102,2105,2120,2138,2143,2151,
2101,2104,2112,2124,2129,2167,2171,
2127,2136,2157,2160,
139,146,148,2127,2135,2141,2160,2164,
2115,2138,2150,2151,2156,2159,
2105,2120,2133,2137,2148,2151,2156,
2106,2130,2144,2537,2579,2657,
2105,2110,2121,2122,2158,2159,
123,139,149,2108,2136,2160,2507,2682,
2127,2128,2147,2150,2152,2157,
2098,2102,2118,2120,2133,2172,2173,
2103,2106,2131,2139,2579,
2107,2114,2117,2162,2169,
2106,2121,2131,2158,
2107,2127,2142,2152,2164,2169,
2120,2132,2138,2153,2155,2156,
903,916,2114,2162,2170,
2115,2128,2137,2142,2152,2159,2163,
2105,2110,2133,2137,2138,2159,
2115,2142,2147,2150,2168,2169,
863,871,2132,2148,2155,2168,2170,
864,1508,1521,2114,2117,
2115,2148,2153,2156,2168,
2115,2137,2138,2148,2155,
2099,2111,2127,2128,2135,2142,2160,
2111,2121,2128,2131,2140,2146,2159,2163,
2110,2137,2140,2150,2151,2158,2163,
2099,2108,2135,2136,2141,2157,
2101,2116,2118,2119,2594,2730,
2114,2145,2149,2168,2169,2170,
2128,2150,2158,2159,
99,148,2097,2107,2127,2136,2147,
2106,2112,2113,2121,2122,2130,
918,941,948,2100,2109,2586,2667,2699,
2112,2113,2129,2134,2731,2732,
2115,2152,2153,2155,2162,2169,2170,
2107,2145,2147,2152,2162,2168,
863,916,2149,2153,2162,2168,
2101,2104,2116,2134,
857,870,2098,2126,2143,2173,
2118,2119,2126,2143,2172,
518,560,2185,2196,2204,2205,
2193,2194,2195,2200,
2187,2197,2199,2206,2207,2209,
2178,2202,2207,2943,2953,
2177,2199,2202,2207,2924,2926,2953,
2181,2183,
2182,2185,2186,2189,2208,
165,2179,2183,2190,
2180,2186,2189,2191,2192,2193,2195,
2179,2181,2188,2190,2191,2193,
2198,2201,2206,2208,2938,
2174,2180,2186,2196,2198,2203,2204,2208,
1719,1727,2180,2182,2185,2192,2196,
2176,2199,2206,2938,2948,
204,2183,2190,2191,
2180,2182,2195,2197,2206,2208,
165,204,2181,2183,2188,
182,204,2182,2183,2188,2192,2193,
182,1727,2182,2186,2191,
2175,2182,2183,2191,2194,2195,
2175,2193,2200,2202,
2175,2182,2189,2193,2197,2200,
530,553,554,560,1719,2174,2185,2186,
2176,2189,2195,2200,2206,2209,
2184,2185,2203,2208,2921,2938,
2176,2178,2187,2207,2924,2948,
2175,2194,2195,2197,2202,2209,
2184,2206,2938,
2177,2178,2194,2200,2207,2209,
2185,2198,2204,2205,2921,2925,2954,
2174,2185,2203,2205,
518,541,551,2174,2203,2204,2920,2925,2930,
2176,2184,2187,2189,2197,2201,2208,2938,
2176,2177,2178,2199,2202,2209,
2180,2184,2185,2189,2198,2206,
2176,2197,2200,2202,2207,
1164,1168,2230,2237,2276,
2212,2213,2219,2272,2274,
2211,2219,2225,2241,2242,2274,
2023,2211,2219,2246,2272,2972,
1159,2216,2220,2238,2240,2265,
2224,2245,2247,2248,2255,2263,
2214,2220,2223,2226,2240,
1801,1847,2250,2266,2267,2268,2275,
1742,1749,1750,1760,2248,2255,2257,2260,
2211,2212,2213,2225,2246,2252,2270,
2214,2216,2226,2241,2265,2274,
2226,2227,2233,2251,2262,
2248,2249,2254,2257,2263,
2216,2226,2227,2240,2253,2269,
289,1165,2215,2232,2245,2255,
2212,2219,2236,2242,2270,
2216,2220,2221,2223,2227,2233,2241,2242,
2221,2223,2226,2250,2262,2269,
2249,2250,2256,2258,2263,2266,
2012,2086,2234,2252,2270,2271,
2210,2231,2237,2259,2276,
2230,2243,2245,2247,2258,2259,2263,2276,
289,1747,2224,2255,2260,
2221,2226,2236,2242,2251,2271,
1800,2012,2229,2271,
1169,2239,2265,2272,2274,2988,2996,
2225,2233,2242,2270,2271,
1168,1179,2210,2230,2238,2240,2243,2259,
1159,1179,2214,2237,2240,
2235,2272,2983,2988,3009,
2214,2216,2223,2237,2238,2243,2253,
2212,2220,2226,2242,2274,
2212,2225,2226,2233,2236,2241,
2231,2237,2240,2253,2258,2259,2264,
2249,2254,2267,2273,2275,
1165,1170,2215,2224,2231,2247,2276,
2023,2058,2213,2219,2252,
2215,2231,2245,2263,
2215,2218,2222,2255,2257,2263,
2222,2228,2244,2254,2263,2266,2275,
2217,2227,2228,2256,2258,2262,2266,2268,2269,
1795,1798,2221,2233,2262,2271,
2058,2086,2219,2229,2246,2270,
2223,2240,2243,2264,2269,
1758,1760,2222,2244,2249,2257,2261,2273,
2215,2218,2224,2232,2248,2260,
2228,2250,2258,
1760,2218,2222,2248,2254,
2228,2231,2243,2250,2256,2259,2263,2264,2269,
2230,2231,2237,2243,2258,
1742,1743,1747,2218,2232,2255,
1758,1829,1846,2254,2273,
1795,1844,2221,2227,2250,2251,2268,
2215,2222,2228,2231,2247,2248,2249,2258,
2243,2253,2258,2269,
1159,1169,2214,2220,2235,2274,
2217,2228,2249,2250,2275,
1797,1847,2217,2244,2273,2275,
1801,1844,2217,2250,2262,
2223,2227,2250,2253,2258,2264,
2219,2225,2229,2236,2252,2271,
1798,1800,2229,2233,2234,2236,2251,2270,
2211,2213,2235,2239,2274,2962,2972,2983,2992,
1797,1806,1846,2244,2254,2261,2267,
2211,2212,2220,2235,2241,2265,2272,
2217,2244,2249,2266,2267,
1161,1164,1170,2210,2230,2231,2245,
1185,2278,2279,2280,
285,287,2277,2279,2280,2281,
1185,2277,2278,2281,
287,1185,1193,1196,2277,2278,
285,1845,2278,2279,
409,2285,2304,2305,2311,2314,
374,478,2287,2300,2313,2319,2322,
374,481,2286,2287,2296,2306,
409,430,2282,2304,2311,2318,2320,
2284,2287,2296,2306,2319,
374,2283,2284,2286,2319,
2296,2306,2308,
2291,2295,2299,2303,2319,2326,
2295,2313,2319,2321,2324,
2289,2296,2299,2303,
1878,1936,2323,2325,2327,
2301,2310,2325,2327,
1859,1932,1945,2297,2309,2310,2316,
2289,2290,2302,2319,2324,2326,
2284,2286,2288,2291,2299,2306,2319,
2294,2302,2309,2312,2316,
1879,1933,2302,2307,2315,2316,
2289,2291,2296,2319,
393,478,2283,2305,2314,2322,
2293,2309,2310,2317,2321,2325,
2295,2297,2298,2312,2315,2316,2324,2326,
2289,2291,2307,2315,2326,
1900,1930,1943,2282,2285,2311,2320,2323,
2282,2300,2311,2314,2317,2322,
408,481,2284,2286,2288,2296,2308,
1865,1879,1933,2298,2303,2315,
382,408,2288,2306,
2294,2297,2301,2310,2312,2321,2324,
1915,1945,2293,2294,2301,2309,2327,
2282,2285,2304,2305,2317,2323,2325,
2297,2302,2309,2324,
2283,2290,2317,2319,2321,2322,
393,409,447,2282,2300,2305,
2298,2302,2303,2307,2326,
1859,1932,1933,1938,2294,2297,2298,2302,
2301,2305,2311,2313,2321,2322,2325,
416,425,430,476,484,1905,1912,1943,2285,2320,
2283,2286,2287,2289,2290,2295,2296,2299,2313,
1943,2285,2304,2318,
2290,2301,2309,2313,2317,2324,
2283,2300,2305,2313,2317,
1930,1936,2292,2304,2311,2325,
2290,2295,2302,2309,2312,2321,
2292,2293,2301,2311,2317,2323,2327,
2289,2295,2302,2303,2315,
1878,1891,1915,2292,2293,2310,2325,
2334,2338,2344,2348,2363,2382,
2339,2356,2363,2365,2382,2384,
1635,2362,2374,2383,2387,
1673,2338,2360,2392,
1320,1338,2346,2355,2365,2366,2377,
1966,1996,2345,2349,2351,2371,2372,2384,
2328,2335,2338,2363,2369,
2334,2356,2361,2363,2369,
1569,2358,2367,2373,2379,3090,
1970,1981,2342,2371,2391,
1627,1673,2328,2331,2334,2348,2353,2360,2369,
2329,2341,2345,2355,2365,2384,
1633,1645,2368,2389,2390,2392,
2339,2345,2346,2352,2355,
1956,1970,1998,2337,2347,2379,2391,2393,
2350,2378,2383,3098,3107,
2328,2348,2357,2360,2382,
2333,2339,2341,2352,2372,2381,2384,
1316,1320,1366,2332,2341,2352,2355,
2342,2354,2380,2385,2386,2391,2393,
2328,2338,2344,2360,
2333,2351,2371,2380,2391,
1642,1702,2343,2383,3098,
2333,2349,2356,2361,2380,2384,
1285,1316,2341,2345,2346,2381,
1627,1671,2338,2369,2388,
2347,2362,2364,2373,2378,2385,2393,
2332,2339,2341,2346,2365,
2329,2335,2351,2361,2363,2384,
2344,2360,2370,2375,2382,
1569,1576,1956,1961,2336,2379,
2361,2369,2385,2386,
2331,2338,2344,2348,2357,2370,2389,2392,
2335,2351,2356,2359,2369,2380,2386,
2330,2354,2364,2374,2378,2383,2387,
2328,2329,2334,2335,2356,2382,
2354,2362,2369,2374,2385,
2329,2332,2339,2355,2366,2375,2382,
2332,2365,2370,2375,2376,2377,
2336,2373,2378,3090,3107,
814,838,2340,2376,2389,2390,
2334,2335,2338,2353,2359,2361,2364,2374,2385,2388,
2357,2360,2366,2375,2376,2389,
1966,1981,2333,2337,2349,2391,
1994,1996,2333,2345,2381,
2336,2354,2367,2378,2379,2393,
2330,2362,2364,2369,2387,2388,
2357,2365,2366,2370,2382,
814,1338,1346,2366,2368,2370,2377,2389,
1320,1338,1346,2332,2366,2376,
2343,2354,2362,2367,2373,2383,3107,
1956,2336,2342,2358,2373,2393,
2347,2349,2351,2361,2386,2391,
1285,1357,1994,1996,2345,2352,2372,
2328,2329,2344,2357,2363,2365,2375,
1635,1642,1700,2330,2343,2350,2362,2378,
2329,2333,2339,2345,2351,2356,
2347,2354,2359,2364,2369,2386,2393,
2347,2359,2361,2380,2385,
1635,1671,2330,2362,2374,2388,
1635,1671,2353,2369,2374,2387,
2340,2360,2368,2370,2376,2392,
829,838,851,1641,1645,2340,2368,
2337,2342,2347,2349,2371,2380,
1633,1673,2331,2340,2360,2389,
2342,2347,2354,2373,2379,2385,
2400,2440,2458,2466,2469,2480,
2409,2445,2452,2457,2468,
2402,2413,2433,2435,2436,2461,2474,
2411,2426,2465,2470,2481,
1893,1942,2440,2446,2455,2471,
462,512,2426,2447,2454,2463,
1032,1076,2394,2406,2469,2480,
2409,2414,2468,2482,2488,
2396,2413,2420,2432,2433,2450,2485,
1861,1916,2439,2475,2479,2483,
2412,2415,2456,2467,2487,
2428,2429,2432,2448,2450,
965,1076,2400,2422,2427,2480,2837,
985,987,1044,2437,2449,2460,2462,
1899,1913,2423,2425,2438,2471,
2395,2401,2419,2424,2457,2468,2482,
2416,2420,2431,2442,2450,
2397,2418,2458,2464,2465,2466,2481,2486,
2404,2467,2468,2476,2487,2488,
2396,2402,2429,2432,2461,2484,
2401,2464,2473,2482,2486,2488,
2404,2434,2435,2436,2456,2487,
129,1526,2410,2420,2441,2442,2459,
1371,1413,2428,2431,2472,2477,
2411,2458,2460,2462,2464,2469,
36,45,2409,2424,2445,2451,2457,
2402,2410,2416,2450,2459,2485,
39,42,2443,2445,2452,2453,
2406,2425,2427,2430,2438,2440,2480,
1913,2408,2425,2430,2479,2483,
2409,2419,2451,2470,2482,
2408,2422,2423,2430,2438,
380,398,503,512,2397,2399,2451,2454,2465,2470,
2406,2422,2430,2837,2866,
1368,1371,1436,2405,2417,2431,2448,2450,
39,1368,1437,2405,2413,2432,2448,2484,
2422,2423,2425,2427,2475,2483,2866,
2410,2417,2428,2442,2450,2477,
2402,2405,2413,2429,2450,
976,1000,2396,2402,2474,2485,
2415,2436,2444,2453,2461,2487,
2396,2415,2436,2456,2474,
2396,2415,2434,2435,2461,
2407,2449,2460,2464,2473,
2408,2422,2425,2440,2471,
1860,1861,1950,2403,2475,2823,2876,
2394,2398,2422,2438,2446,2466,2471,2480,
996,1520,1526,2416,2459,
129,2410,2416,2431,2477,
39,2421,2444,2453,2484,
2434,2443,2453,2461,2484,
42,45,2395,2419,2421,2452,2457,
2398,2440,2447,2455,2466,
2399,2446,2454,2455,2463,2466,
1368,2405,2428,2429,
960,1044,2407,2437,2473,2476,2478,
2402,2405,2410,2420,2428,2431,2432,
36,398,2419,2424,2426,2470,
2395,2421,2445,2453,2468,2487,
2421,2434,2443,2444,2452,2487,
2399,2426,2447,2465,2466,
1875,1893,2398,2446,2447,2463,
982,1068,2404,2415,2435,2467,2474,
2395,2409,2419,2445,
2394,2411,2418,2466,2469,
996,1011,2416,2420,2441,2485,
2407,2418,2437,2462,2464,
2396,2413,2434,2436,2444,2484,
985,1074,2407,2418,2460,2469,
412,462,1875,2399,2447,2455,
2411,2414,2418,2437,2460,2473,2486,
2397,2411,2426,2454,2466,
2394,2411,2440,2446,2447,2454,2458,2465,
1029,1065,1068,2404,2412,2456,2476,
2395,2401,2409,2412,2452,2487,2488,
1032,1074,2394,2400,2418,2458,2462,
2397,2424,2426,2451,2481,2482,
1899,1942,2398,2408,2438,2440,
100,129,1383,1413,2417,2477,
2414,2437,2449,2464,2478,2488,
976,982,1069,2396,2433,2435,2456,
2403,2430,2439,2483,2866,2876,2882,
960,1065,2412,2449,2467,2478,2488,
100,129,2417,2431,2442,2472,
2449,2473,2476,2488,
1913,1916,1955,2403,2423,2483,
2394,2400,2406,2422,2440,
2397,2411,2470,2482,2486,
2401,2409,2414,2424,2470,2481,2486,
2403,2423,2430,2475,2479,
39,2413,2429,2443,2444,2461,
1000,1011,2402,2420,2433,2459,
2411,2414,2464,2481,2482,
2404,2412,2415,2434,2452,2453,2468,
2401,2412,2414,2468,2473,2476,2478,
2525,2569,2595,2601,2633,
1774,2556,2571,2647,2653,2736,
2525,2601,2609,2662,2675,2691,2716,2717,
2517,2666,2684,2693,
2500,2527,2607,2712,2731,2732,2740,
2511,2521,2553,2578,2676,2679,2707,
2503,2570,2616,2630,2637,2644,2651,2735,
2533,2563,2567,2725,2727,2729,
1766,1783,2528,2598,2628,2673,
2503,2618,2621,2651,2681,2720,
2516,2563,2632,2715,2734,
2493,2566,2592,2626,2712,2731,2732,2740,
2576,2616,2637,2684,2693,
2515,2538,2561,2629,2643,2654,2734,
2495,2498,2534,2582,2618,2651,2735,
2515,2534,2574,2593,2618,2638,2715,
2546,2573,2602,2641,2647,2656,2696,
2538,2560,2585,2597,2614,2643,2701,
123,128,2141,2522,2660,2682,
2567,2572,2589,2649,2729,
2514,2581,2633,2645,2686,2727,
2610,2674,2677,2710,
2494,2553,2565,2584,2661,2707,
2554,2596,2612,2613,2619,2625,2702,
2518,2530,2535,2555,2642,2655,2694,
2509,2632,2654,2686,2727,
2502,2504,2629,2638,2694,2715,2734,
2499,2563,2577,2582,2593,2715,
2492,2608,2649,2684,2723,
2513,2530,2555,2615,2697,2709,
2596,2733,
2568,2660,2713,2718,2738,
2494,2553,2578,2605,2659,2676,2679,2685,
128,1087,2507,2646,2660,
2547,2583,2628,2673,2679,2707,
2572,2589,2611,2634,
2489,2491,2595,2601,2662,2689,2700,
2125,2532,2539,2584,2587,
2113,2130,2493,2607,2657,2731,
1774,1783,2497,2598,2628,2711,2739,
2656,2665,2688,2704,2714,
2513,2518,2536,2642,2688,2709,
2545,2549,2562,2579,2604,2687,
2101,2125,2526,2553,2578,2584,2730,
2496,2563,2608,2631,2729,
2503,2504,2582,2593,2618,
2513,2555,2560,2585,2655,
2530,2642,2652,2688,2695,2714,
2139,2549,2579,2657,2737,
2502,2506,2585,2629,2643,
2526,2551,2566,2584,2587,2623,2661,
2541,2556,2674,2719,2726,
2540,2606,2674,2680,2695,2706,2710,2719,2721,
2551,2565,2573,2583,2620,2640,2641,2661,
1769,1780,2603,2610,2683,
1792,2109,2591,2659,2699,
2531,2549,2558,2617,2687,2708,
2505,2571,2602,2641,2647,2711,
1766,1781,2523,2668,2673,2676,2679,
2562,2568,2600,2604,2627,2682,
2531,2537,2545,2579,2708,2737,
2576,2577,2616,2631,2723,
2539,2542,2565,2573,2620,2623,2661,2705,
2570,2630,2650,2728,2742,
2494,2511,2521,2532,2578,2584,2730,
2512,2612,2613,2630,2637,2644,2728,
2513,2518,2535,2560,2670,2697,2703,
2490,2540,2653,2719,2726,2736,
2621,2622,2624,2681,2706,2720,2721,
2545,2595,2597,2614,2617,2663,2708,
1768,1780,2603,
2506,2535,2555,2585,2599,2670,2701,
2502,2635,2643,2654,2686,
2103,2531,2548,2579,2604,2627,
2496,2499,2516,2533,2577,2631,2632,2727,
2615,2620,2656,2665,2696,2705,2709,
2511,2542,2551,2583,2640,2661,2707,
2500,2539,2587,2623,2626,2732,
2496,2508,2589,2725,2729,
2520,2548,2600,2682,2713,2738,
2489,2595,2633,2635,2663,
2495,2552,2630,2651,2720,2742,
1774,2490,2546,2647,2711,2739,
2508,2524,2589,
2505,2542,2551,2620,2640,2641,2696,
2504,2618,2621,2622,2638,2648,
2602,2647,2653,2680,2704,2719,
2501,2550,2616,2684,2723,
2516,2550,2563,2582,2616,2631,2735,
2494,2521,2532,2553,2594,2685,2730,
2103,2139,2144,2531,2537,2549,2562,
2590,2689,2700,2718,
2509,2645,2658,2724,2725,2727,
2503,2516,2534,2577,2593,2735,
2523,2542,2565,2598,2628,2640,2707,
2511,2526,2532,2539,2553,2661,
2506,2535,2538,2560,2629,2655,
2166,2605,2659,2667,2685,2699,
2125,2129,2526,2539,2566,2732,
2609,2611,2634,2669,2675,2717,
2508,2524,2567,2572,2634,2658,2725,
1087,2580,2646,2671,2689,2718,
1781,1792,2544,2659,2668,2699,
2500,2615,2623,2626,2697,2705,2712,
2504,2516,2534,2582,2715,
2119,2161,2578,2636,2685,2730,
2489,2525,2558,2569,2617,2663,2700,2722,
2512,2519,2619,2702,2733,
2506,2558,2614,2635,2643,2663,
2497,2528,2583,2628,2640,2641,2711,2739,
2560,2614,2670,2672,2701,
2548,2568,2604,2678,2738,
2489,2491,2525,2633,2645,2716,2724,
2505,2546,2575,2647,2656,2704,
1780,2543,2559,2610,2677,
2531,2548,2562,2600,2617,2678,2687,2722,
2521,2586,2659,2685,2699,
2541,2680,2695,2714,
2493,2527,2657,2670,2672,2737,2740,
2517,2533,2631,2649,2723,2729,
2491,2588,2664,2669,2690,2691,2717,
2510,2543,2603,2674,2677,2683,
1090,2524,2588,2634,2669,
2512,2554,2702,2728,2741,
2512,2554,2625,2637,2666,2693,
2506,2558,2597,2599,2672,2701,2708,
2518,2564,2592,2665,2697,2705,2709,
2495,2501,2550,2576,2577,2637,2735,
2545,2558,2595,2604,2687,2722,
2498,2503,2504,2534,2574,2621,
2512,2596,2625,2733,
2542,2551,2564,2573,2623,2696,2705,
2498,2557,2574,2618,2622,2681,
2557,2574,2621,2648,2652,2695,2706,
2539,2551,2566,2592,2620,2626,2661,2705,
2557,2650,2720,2721,2742,
2512,2613,2619,2666,
2500,2566,2592,2623,2705,2712,
2103,2108,2548,2562,2682,
2497,2523,2528,2583,2598,2640,2673,
2502,2515,2538,2585,2655,2694,
2495,2552,2554,2570,2644,2728,
2533,2550,2563,2577,2608,2723,
2499,2514,2563,2654,2727,2734,
2489,2509,2569,2601,2635,2645,2686,
2524,2588,2589,2611,2658,2675,2692,
2561,2569,2597,2633,2643,2663,2686,
2100,2119,2594,2667,2685,
2495,2501,2554,2613,2616,2644,2693,
2504,2515,2574,2648,2694,
1769,1774,2683,2726,2736,
2542,2565,2573,2583,2598,2628,2641,2711,
2505,2542,2546,2573,2598,2640,2711,
2513,2530,2536,2648,2652,2694,
2502,2506,2538,2561,2597,2635,
2495,2554,2630,2637,2728,
2509,2581,2601,2633,2686,2724,
1087,2522,2590,2660,2718,
2490,2505,2546,2571,2575,2602,2653,
2574,2622,2638,2642,2652,2694,
2508,2517,2608,2729,
2552,2624,2720,2728,2742,
2495,2498,2503,2570,2720,2742,
2536,2622,2642,2648,2695,2706,2714,
2490,2556,2575,2647,2680,2719,
2502,2514,2561,2632,2686,2734,
2513,2535,2585,2629,2694,
2505,2529,2564,2602,2665,2696,2704,
2130,2139,2527,2537,2607,2737,
2581,2589,2634,2692,2724,2725,
2521,2544,2586,2591,2605,2668,2676,2699,
2507,2520,2522,2646,2682,2713,2718,
2511,2539,2542,2551,2565,2584,2623,
2491,2525,2689,2691,2698,
2558,2569,2595,2597,2635,
1084,1088,1121,1136,2609,2669,2690,
2529,2564,2615,2656,2688,2696,2709,
2492,2613,2625,2693,
2100,2166,2586,2636,2685,
1781,2547,2591,2659,2676,2679,
1088,1090,2588,2609,2611,2664,
2555,2560,2599,2607,2672,2703,2740,
1087,1094,2590,2689,2698,
2599,2607,2614,2670,2708,2737,
1766,2497,2523,2547,2628,
2510,2540,2541,2610,2683,2710,2726,
2491,2588,2634,2692,2716,2717,
2494,2521,2547,2659,2668,2679,
2510,2603,2610,
2600,2604,2722,2738,
2494,2521,2523,2547,2668,2676,2707,
2541,2575,2606,2653,2704,2714,2719,
2498,2557,2621,2720,
2108,2141,2507,2548,2568,2627,2660,2713,
1769,2543,2610,2639,2674,2726,
2492,2501,2517,2576,2693,2723,
2521,2578,2586,2594,2605,2636,2667,2730,
2509,2514,2561,2633,2635,2645,2654,
2531,2545,2604,2617,
2529,2530,2536,2665,2709,2714,
2525,2580,2590,2662,2671,2698,2700,
1121,2609,2664,2691,2698,
2491,2609,2662,2690,2698,
2634,2658,2675,2716,2724,
2492,2501,2613,2637,2666,2684,
2513,2515,2629,2638,2642,2648,2655,
2536,2541,2606,2622,2652,2706,2714,
2505,2564,2573,2620,2656,2665,
2518,2555,2592,2615,2703,2712,
1094,1121,2662,2671,2689,2690,2691,
2109,2166,2544,2586,2591,2605,2659,
2525,2580,2595,2689,2718,2722,2738,
2506,2560,2599,2614,
2512,2596,2612,2741,
2555,2670,2697,2712,2740,
2529,2575,2602,2656,2680,2714,
2551,2564,2592,2615,2620,2623,2626,
2541,2557,2622,2652,2695,2721,
2494,2511,2523,2565,2583,2679,
2545,2549,2558,2614,2672,2737,
2518,2530,2564,2615,2665,2688,
2510,2541,2674,2721,
2528,2546,2571,2598,2640,2641,2739,
2493,2500,2592,2626,2697,2703,2740,
2520,2568,2660,2682,
2529,2536,2606,2652,2680,2688,2695,2704,
2499,2504,2515,2516,2593,2734,
2491,2601,2675,2692,2724,
2491,2588,2609,2675,
2520,2580,2590,2646,2660,2700,2738,
2540,2541,2556,2575,2653,2680,
2498,2557,2570,2624,2650,2651,2681,2742,
2541,2557,2624,2706,2710,
2595,2604,2617,2678,2700,2738,
2517,2550,2576,2608,2631,2684,
2581,2601,2645,2658,2692,2716,
2496,2567,2581,2589,2658,2727,
2540,2556,2639,2674,2683,2736,
2496,2509,2514,2563,2581,2632,2725,
2552,2554,2612,2630,2644,2650,2741,
2496,2508,2533,2567,2608,2649,
2101,2161,2532,2553,2578,2594,2685,
2113,2167,2493,2500,2527,2732,
2129,2167,2493,2500,2566,2587,2731,
2519,2596,2619,
2499,2502,2515,2632,2654,2715,
2495,2503,2577,2582,2616,
1774,2490,2556,2639,2726,
2537,2549,2607,2657,2672,2708,
2520,2568,2600,2678,2700,2718,2722,
1774,2528,2571,2598,2711,
2493,2500,2607,2670,2703,2712,
2612,2702,2728,
2552,2570,2624,2650,2651,2720,
1721,2751,2753,2756,2758,2763,
532,552,1716,2745,2748,2765,2771,
520,537,552,2744,2759,2771,
2749,2750,2752,2762,2766,2767,
257,2749,2764,2766,3103,
2744,2757,2760,2765,2771,
2746,2747,2764,2766,2767,2768,
2746,2752,2761,2762,2763,2770,
2743,2753,2755,2758,2761,2770,
239,255,259,2746,2750,2761,2766,2770,
1721,2743,2751,2755,2769,
1728,2756,2762,2765,2767,
70,76,2751,2753,2761,2769,
1721,1728,2743,2754,2762,2763,
2748,2759,2760,2764,2771,
2743,2751,2763,2770,
520,537,2745,2757,2764,2771,3096,3105,
2748,2757,2764,2765,2767,2768,
68,70,77,233,255,258,259,273,1785,2750,2751,2752,2755,2770,
2746,2750,2754,2756,2763,2767,
2743,2750,2756,2758,2762,2770,
2747,2749,2757,2759,2760,2768,3103,3105,
1716,1728,2744,2748,2754,2760,2767,2771,
239,257,268,2746,2747,2749,2752,
2746,2749,2754,2760,2762,2765,2768,
2749,2760,2764,2767,
76,1721,2753,2755,
2750,2751,2752,2758,2761,2763,
2744,2745,2748,2757,2759,2765,
1809,1851,2775,2780,2782,2783,2785,
1184,1188,1835,1851,2782,2784,2785,
1734,2776,2779,2780,2781,2783,
1803,1809,2772,2777,2778,2779,2783,
1733,1734,2774,2781,
2775,2778,2779,2781,
1803,2775,2777,
2774,2775,2777,2781,2783,
1734,2772,2774,2783,2785,
2774,2776,2777,2779,
1851,2772,2773,2785,
2772,2774,2775,2779,2780,
1188,1732,1739,2773,2785,
1734,1739,2772,2773,2780,2782,2784,
1177,1181,2836,2842,2844,2848,2849,
2793,2800,2817,2824,2839,2846,2851,2864,2884,
2794,2797,2808,2863,2887,2970,2989,
2806,2810,2812,2850,2855,2856,
2791,2795,2801,2846,2863,2899,
2790,2800,2801,2805,2846,2856,
1173,2814,2881,2891,
2787,2794,2830,2846,2863,2864,2913,2916,2993,
2788,2793,2830,2863,2970,2995,
2790,2797,2801,2818,2854,2862,2863,2899,
2820,2859,2868,2874,2879,2985,
2788,2795,2808,2862,2863,
1921,1948,2812,2825,2840,2843,2850,
1056,2811,2865,2874,2981,2987,
2787,2791,2810,2817,2846,2856,
2790,2791,2795,2805,2826,2854,2899,
2813,2827,2833,2834,2835,2870,2871,
1941,2816,2823,2853,2859,2879,2894,
2806,2828,2832,2847,2857,2872,
2791,2801,2826,2840,2843,2856,
2789,2804,2812,2822,2828,2855,2857,2886,2897,2906,2910,
2815,2819,2838,2875,2959,2976,
2788,2797,2820,2845,2862,2989,
2815,2841,2851,2860,2870,2871,
2789,2800,2817,2822,2855,2856,
1056,2799,2865,2878,
2789,2798,2806,2825,2850,2857,2873,2906,
2802,2833,2834,2836,2844,2861,2877,
1166,1173,1174,2792,2838,2858,2881,2890,2891,
2807,2809,2838,2858,2860,2871,2875,
2803,2818,2845,2853,2859,2862,
2787,2800,2810,2822,2839,
2795,2816,2829,2853,2854,2862,
2807,2867,2875,2918,2959,2971,2973,2976,2990,
2796,2808,2845,2859,2985,2989,3002,
2832,2833,2842,2844,2880,
2806,2810,2817,2827,2828,2839,2855,
1858,1860,1941,2439,2803,2868,2876,2879,2894,
2787,2841,2851,2852,2864,
1921,2798,2812,2869,2873,2889,
1872,1894,1928,2801,2805,2843,2854,
2802,2822,2828,2835,2839,2847,2870,
2804,2806,2822,2827,2847,2855,2910,
1934,1940,2818,2853,2854,2902,
2793,2794,2993,2995,
2832,2869,2872,2892,2903,2914,
2804,2821,2831,2833,2847,2872,2880,2903,2917,
2802,2813,2821,2832,2835,2844,2847,
1166,2802,2813,2871,2877,
2802,2827,2833,2847,
2786,2813,2844,2849,2861,
965,1006,2406,2427,2866,2878,
1168,1173,1179,2807,2814,2815,2858,2976,
2787,2817,2822,2827,2851,2870,
2798,2805,2843,2850,2856,
2809,2824,2851,2852,2860,
2786,2821,2844,2848,2880,
1894,1946,1948,2798,2805,2826,2840,
2786,2813,2821,2833,2836,2842,2848,2861,
2808,2816,2820,2859,2862,2909,
2787,2790,2791,2793,2800,2863,
2804,2827,2828,2832,2833,2835,
2786,2842,2844,2880,2895,2904,2907,2915,
1176,1177,2786,2836,2861,2877,
2789,2798,2812,2840,2856,
2787,2809,2824,2839,2841,2870,
2824,2841,2860,2864,2867,2875,
1940,1941,2803,2816,2818,2829,
1872,1934,2795,2801,2818,2826,2829,2888,
2789,2806,2810,2822,2828,
2789,2791,2800,2805,2810,2840,2850,
2804,2806,2812,2872,2873,2897,2906,
1166,2814,2815,2838,2871,2900,2901,
2796,2803,2816,2820,2845,2879,2909,
2809,2815,2841,2852,2875,
2813,2836,2844,2849,2877,
2795,2797,2808,2816,2818,2845,2911,2912,
2788,2790,2793,2794,2795,2797,2846,2883,2898,
2787,2793,2824,2852,2867,2896,2973,2993,
2799,2811,2866,2868,2874,2876,2878,
2427,2430,2475,2837,2865,2876,2878,
2819,2852,2864,2875,2973,
2796,2823,2865,2874,2876,2879,
1892,1901,1921,2825,2831,2872,2873,2892,2914,
2802,2809,2827,2839,2851,2871,2893,
1166,2802,2809,2815,2834,2858,2870,2893,
2804,2831,2832,2857,2869,2873,2903,
2812,2825,2857,2869,2872,
2796,2799,2865,2868,2981,2985,
2807,2815,2819,2852,2860,2867,
2439,2475,2823,2865,2866,2868,2882,
1166,1176,2813,2834,2849,2861,
1006,1025,1056,2811,2837,2865,2866,2905,
2796,2803,2823,2859,2868,
2821,2832,2842,2848,2895,2903,2907,2917,
1174,2792,2814,
2475,2876,
2863,
2787,
1870,1882,2904,2908,2914,2915,
2806,2906,
2788,
1872,2854,
2825,
2814,
2792,2814,
2831,2869,
2870,2871,
2803,2823,
2848,2880,2903,2904,2907,2908,2915,
2864,
2806,2857,
2863,
2790,2795,2801,
2858,2901,
2858,2900,
2829,
2831,2832,2872,2880,2895,2908,2914,
2848,2885,2895,2908,2915,
2878,
2806,2812,2857,2886,
2848,2880,2895,
2885,2895,2903,2904,2914,
2845,2859,
2806,2828,
2862,2912,
2862,2911,
2793,
1870,1892,2831,2869,2885,2903,2908,
1882,2848,2885,2895,2904,
2793,
2832,2880,
2819,
2929,2931,2940,2956,
551,2205,2930,2956,
2198,2203,2929,2931,2938,2954,2957,
2927,2935,2937,2942,2947,2949,
2934,2946,
2178,2199,2926,2948,
2203,2205,2929,2930,2954,2956,
2178,2924,2939,2948,2953,
2922,2931,2937,2942,
2940,2942,2951,
2919,2921,2925,2931,2954,2956,
2205,2920,2925,2956,
2919,2921,2927,2929,2937,2940,2942,2957,
2934,2939,2941,2943,2952,
2934,2936,2946,2947,2949,
2923,2932,2933,2936,2941,2946,
2922,2936,2937,2945,2949,2957,
2933,2934,2935,2941,2945,2949,
2922,2927,2931,2935,2945,2957,
2184,2187,2198,2201,2206,2921,2948,2957,
2926,2932,2943,2945,2948,2952,2953,2957,
2919,2928,2931,2942,2950,2951,2956,
2932,2934,2936,2945,2952,
2922,2927,2928,2931,2940,2947,2955,
2177,2932,2939,2953,
525,527,2950,2951,
2935,2936,2937,2939,2941,2952,2957,
2923,2933,2934,2947,2955,
2922,2933,2942,2946,2949,2955,
2187,2199,2924,2926,2938,2939,2957,
2922,2933,2935,2936,2947,
521,525,544,2940,2944,2951,2956,
2928,2940,2944,2950,
2932,2939,2941,2945,
2177,2178,2926,2939,2943,
2203,2921,2925,2929,
2942,2946,2947,
521,545,551,2919,2920,2925,2929,2930,2940,2950,
2921,2931,2935,2937,2938,2939,2945,2948,
2974,2996,2999,3003,3004,3006,
1179,2807,2819,2976,2990,
2977,2979,2980,2998,3012,
2964,2965,2968,2978,2991,3008,
2049,2272,2972,2992,
2035,2052,2979,2984,2997,3007,
2961,2965,2968,3000,3001,3010,
2961,2964,2977,2991,3001,
2968,2974,2978,3000,3005,3009,
2970,2977,2991,2998,3002,
2961,2964,2966,2978,3000,
1169,2971,2973,2986,2993,2996,2999,3004,
2788,2794,2967,2989,2991,2995,3002,3008,
1159,2819,2969,2973,2986,2990,
2023,2049,2213,2272,2962,
2819,2864,2867,2969,2971,2986,2993,
2958,2966,2978,2982,3003,3006,3009,
2061,2977,2984,2997,3001,3010,3011,
1179,2807,2819,2838,2959,
2960,2965,2967,2975,2979,2991,2997,2998,3001,
2961,2966,2968,2974,3006,3008,
2960,2963,2977,2980,2987,2997,3007,
2960,2979,2987,3012,
2799,2874,2985,2987,3012,
2974,2988,3003,3009,
2015,2064,2239,2272,2992,3009,
2035,2061,2963,2975,2997,
2796,2820,2874,2981,2998,3002,3012,
1159,1169,2969,2971,2973,
1038,1056,2799,2979,2980,2981,3007,3012,
2235,2239,2982,2996,3003,3009,
2788,2808,2820,2970,3002,
1159,1179,2819,2959,2971,
2961,2965,2967,2970,2977,3008,
2015,2049,2272,2962,2983,
2793,2830,2864,2969,2973,2995,2999,
2092,3000,3005,3011,
2794,2830,2970,2993,2999,3008,
1169,2235,2958,2969,2988,3003,3004,
2963,2975,2977,2979,2984,
2960,2967,2977,2985,3002,3012,
2958,2969,2993,2995,3004,3006,3008,
2964,2966,2968,2994,3005,3010,3011,
2964,2965,2975,2977,3010,
2820,2967,2970,2985,2989,2998,
2958,2974,2982,2988,2996,
2958,2969,2996,2999,
2064,2092,2966,2994,3000,3009,
2958,2974,2978,2999,3008,
968,1022,1038,2052,2963,2979,2987,
2961,2970,2978,2991,2995,2999,3006,
2064,2239,2966,2974,2982,2983,2988,3005,
2964,2975,3000,3001,3011,
2013,2061,2092,2975,2994,3000,3010,
2960,2980,2981,2985,2987,2998,
3023,3041,3051,3062,3082,3084,
1223,1262,1295,1317,3016,3038,3063,3070,
3019,3021,3029,3061,3067,3068,3070,3078,
1317,3014,3028,3070,3078,
3020,3027,3043,3048,3055,3057,3071,
1358,1364,3030,3059,3074,
1292,1337,3015,3028,3061,3078,
3017,3032,3048,3057,3072,3083,
3015,3022,3029,3030,3067,3073,
3021,3030,3039,3049,3073,3084,
3013,3025,3026,3036,3041,3051,3069,
757,776,3034,3065,3075,
3023,3026,3035,3037,3040,3066,3069,
3023,3025,3032,3036,3040,3079,3080,
1206,1217,1241,1251,3017,3043,3050,3055,
1288,1317,1337,1348,3016,3019,3070,3078,
3015,3021,3030,3059,3060,3061,3068,
3018,3021,3022,3029,3039,3059,3074,
1218,1232,3033,3050,
3020,3026,3036,3072,3079,3083,
1232,3031,3046,3050,3055,3056,3076,
603,776,785,3024,3037,3045,3065,
649,661,3025,3037,3045,3066,
3023,3026,3032,3051,3082,3083,
3025,3034,3035,3045,3065,3069,
1223,3014,3063,3076,
3022,3030,3041,3044,3054,3074,3084,
3025,3026,3066,3077,3080,
3013,3023,3039,3054,3069,3075,3084,
609,616,1199,3064,3077,
1206,1247,3017,3027,3048,
1307,1364,3039,3054,3074,3075,
603,649,3034,3035,3037,
3033,3047,3049,3052,3055,3056,3071,
3046,3049,3056,3063,3073,
1247,1249,3017,3020,3043,3072,
3022,3046,3047,3062,3071,3073,3081,3084,
1218,1251,3027,3031,3033,3055,
3013,3023,3036,3082,
3046,3055,3071,
1257,1266,3058,3064,3079,3080,
3039,3041,3044,3075,
3017,3027,3033,3046,3050,3052,3071,
3033,3046,3047,3063,3076,
3017,3020,3071,3081,3083,
1257,1260,3053,3072,3079,3080,
1304,1358,3018,3029,3030,3060,
1298,1304,1361,3029,3059,3068,
1292,1361,3015,3019,3029,3068,
3013,3049,3071,3081,3082,3084,
3014,3038,3047,3056,3067,3070,3073,3076,
1199,1266,3042,3053,3077,3080,
3024,3034,3037,3069,3075,
564,661,3025,3035,3040,3077,
3015,3021,3063,3070,3073,3078,
1361,3015,3029,3060,3061,
3023,3025,3037,3041,3065,3075,
3014,3015,3016,3028,3063,3067,3078,
3017,3046,3049,3052,3055,3057,3062,3081,
1249,1260,3020,3032,3048,3058,3079,
3021,3022,3047,3049,3063,3067,
1364,3018,3030,3039,3044,
757,1307,3024,3041,3044,3054,3065,3069,
1223,1232,3033,3038,3056,3063,
564,616,3040,3042,3064,3066,3080,
3015,3016,3019,3028,3067,3070,
3026,3032,3053,3058,3072,3080,
3026,3040,3053,3058,3064,3077,3079,
3049,3057,3062,3071,3082,3083,
3013,3036,3051,3062,3081,3083,
3020,3032,3036,3057,3081,3082,
3013,3022,3039,3041,3049,3062,
245,251,3088,3089,3095,3100,
1565,1568,3094,3099,3101,3106,
1601,3089,3090,3094,3101,3107,
245,257,270,3085,3089,3091,3097,3103,
3085,3087,3088,3094,3097,3098,3100,3107,
1569,1601,2336,2367,3087,3107,
3088,3093,3097,3099,3102,3103,3104,3106,
1623,1698,1702,3095,3098,3100,
3091,3099,3106,
3086,3087,3089,3097,3101,3106,
251,278,1623,1672,3085,3092,3100,
520,526,531,2759,3102,3103,3104,3105,
3088,3089,3091,3094,3106,
1702,2343,2350,3089,3092,3100,3107,
1568,1579,1597,3086,3091,3093,3104,3106,
3085,3089,3092,3095,3098,
1565,1601,3086,3087,3094,
3091,3096,3103,3104,
257,2747,2764,3088,3091,3096,3102,3105,
526,538,557,1579,3091,3096,3099,3102,
2759,2764,3096,3103,
3086,3091,3093,3094,3097,3099,
2343,2367,2378,3087,3089,3090,3098
),
sumNumNeigh = 18458
)




INITS 1 
list(
Const=0.02,
Trend=0.02,
law=0.02,
ammo=0.02,
assault=0.02,
bg=0.02,
buyer=0.02,
child=0.02,
conceal=0.02,
dealer=0.02,
dom=0.02,
high=0.02,
immun=0.02,
possess=0.02,
pre=0.02,
stand=0.02,
traf=0.02,
other=0.02,
law_near=0.02,
ammo_near=0.02,
assault_near=0.02,
bg_near=0.02,
buyer_near=0.02,
child_near=0.02,
conceal_near=0.02,
dealer_near=0.02,
dom_near=0.02,
high_near=0.02,
immun_near=0.02,
possess_near=0.02,
pre_near=0.02,
stand_near=0.02,
traf_near=0.02,
other_near=0.02,
age24=0.02,
age45=0.02,
age65=0.02,
black=0.02,
hisp=0.02,
native=0.02,
urban=0.02,
rural=0.02,
area=0.02,
inc=0.02,
unem=0.02,
flow=0.02,
lib=0.02,
mj=0.02,
pol=0.02,
tau.phi=.1,
tau.theta=.1,
tau.TimeRE=0.1,
TimeRE=c(.05,.05,.05,.05,.05,.05,.05,.05,.05,.05,.05,.05,.05,.05,.05),
tau.StateRE=1,
StateRE=c(0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2),


phi=c(
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theta=c(
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0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02
)
)


INITS 2 
list(
Const=-0.02,
Trend=-0.02,
law=-0.02,
ammo=-0.02,
assault=-0.02,
bg=-0.02,
buyer=-0.02,
child=-0.02,
conceal=-0.02,
dealer=-0.02,
dom=-0.02,
high=-0.02,
immun=-0.02,
possess=-0.02,
pre=-0.02,
stand=-0.02,
traf=-0.02,
other=-0.02,
law_near=-0.02,
ammo_near=-0.02,
assault_near=-0.02,
bg_near=-0.02,
buyer_near=-0.02,
child_near=-0.02,
conceal_near=-0.02,
dealer_near=-0.02,
dom_near=-0.02,
high_near=-0.02,
immun_near=-0.02,
possess_near=-0.02,
pre_near=-0.02,
stand_near=-0.02,
traf_near=-0.02,
other_near=-0.02,
age24=-0.02,
age45=-0.02,
age65=-0.02,
black=-0.02,
hisp=-0.02,
native=-0.02,
urban=-0.02,
rural=-0.02,
area=-0.02,
inc=-0.02,
unem=-0.02,
flow=-0.02,
lib=-0.02,
mj=-0.02,
pol=-0.02,
tau.phi=.1,
tau.phi=.1,
tau.theta=.1,
tau.TimeRE=0.1,
TimeRE=c(-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05,-.05),
tau.StateRE=1,
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phi=c(
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