Global models

Moderator tests for phylogenetic models

Sexual selection mode
Plot sexual selection mode (Figure 2)
Sexual selection category
Plot sexual selection category (Figure S1)
Sex-bias in SSD
Plot sex-bias in SSD (Figure S2)
Type of SSD measure
Plot Type of SSD measure (Figure S3)
SSD measure controlled for body size?
Plot: SSD measure controlled for body size? (Figure S4)
Taxa number
Plot taxa number (Figure S6)
Publication year
Plot publication year (Figure S7)

Moderator tests for non-phylogenetic models

Sexual selection mode
Sexual selection category
Phylogenetic classes
Plot phylogenetic classes (Figure 3)
Sex-bias in SSD
Type of SSD measure
SSD measure controlled for body size?
Taxa number
Publication year

Forest plot

Figure 1

Test for publication bias

Figure S5

Sexual selection and sexual size dimorphism: a meta-analysis of comparative studies

Additional analyses

Lennart Winkler¹, Robert P Freckleton², Tamas Szekely³, ⁴ & Tim Janicke^1,5

¹Applied Zoology, Technical University Dresden

²Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, UK

³Milner Centre for Evolution, University of Bath, Bath, UK8

⁴Department of Evolutionary Zoology and Human Behaviour, University of Debrecen, Debrecen, Hungary

⁵Centre d’Écologie Fonctionnelle et Évolutive, UMR 5175, CNRS, Université de Montpellier

Last updated: 2023-04-30

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Rmd	7a0f67c	LennartWinkler	2023-04-30	Set up project

Supplementary material reporting R code for the manuscript ‘Sexual selection and sexual size dimorphism: a meta-analysis of comparative studies’.
Additional analyses excluding studies that did not correct for phylogenetic non-independence (see Supplement 2). # Load and prepare data Before we started the analyses, we loaded all necessary packages and data.

rm(list = ls()) # Clear work environment

# Load R-packages ####
list_of_packages=cbind('ape','matrixcalc','metafor','Matrix','MASS','pwr','psych','multcomp','data.table','ggplot2','RColorBrewer','MCMCglmm','ggdist','cowplot','PupillometryR','dplyr','wesanderson')
lapply(list_of_packages, require, character.only = TRUE)

# Load data set ####
MetaData <- read.csv("./data/Supplement4_SexSelSSD_V01.csv", sep=";", header=TRUE) # Load data set

#Remove studies that did not correct for phylogenetic non-independence
MetaData=MetaData[MetaData$PhyloControlled=='Yes',]

N_Studies <- length(summary(as.factor(MetaData$Study_ID))) # Number of included primary studies

Tree<- read.tree("./data/Supplement6_SexSelSSD_V01.txt") # Load phylogenetic tree

# Prune phylogenetic tree
MetaData_Class_Data <- unique(MetaData$Class)
Tree_Class<-drop.tip(Tree, Tree$tip.label[-na.omit(match(MetaData_Class_Data, Tree$tip.label))])
forcedC_Moderators <- as.matrix(forceSymmetric(vcv(Tree_Class, corr=TRUE)))

# Order moderator levels
MetaData$SexSel_Mode=as.factor(MetaData$SexSel_Mode)
MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("post-copulatory"))
MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("pre-copulatory"))
MetaData$SexSel_Sex=as.factor(MetaData$SexSel_Sex)
MetaData$SexSel_Sex=relevel(MetaData$SexSel_Sex,c("Male"))

# Set figure theme and colors
theme=theme(panel.border = element_blank(), 
            panel.background = element_blank(),
            panel.grid.major = element_blank(),
            panel.grid.minor = element_blank(), 
            legend.position = c(0.2,0.5),
            legend.title = element_blank(),
            legend.text = element_text(colour="black", size=12),
            axis.line.x = element_line(colour = "black", size = 1),
            axis.line.y = element_line(colour = "black", size = 1),
            axis.text.x = element_text(face="plain", color="black", size=16, angle=0),
            axis.text.y = element_text(face="plain", color="black", size=16, angle=0),
            axis.title.x = element_text(size=16,face="plain", margin = margin(r=0,10,0,0)),
            axis.title.y = element_text(size=16,face="plain", margin = margin(r=10,0,0,0)),
            axis.ticks = element_line(size = 1),
            axis.ticks.length = unit(.3, "cm"))

colpal=c("#4DAF4A","#377EB8","#E41A1C")
colpal2=brewer.pal(7, 'Dark2')
colpal4=c("grey50","grey65")
colpal4=wes_palette('FantasticFox1', 9, type = c("continuous"))
Meta_col=c('grey85','grey50','grey20','black')

# Global models ####

# Phylogenetic Model
Model_REML_Null         = rma.mv(r ~ 1, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_Null)

# Non-phylogenetic Model
Model_cREML_Null         = rma.mv(r ~ 1, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_Null)

Global models

We began the analysis by running global models without additional moderators.
First, we ran a global model including the phylogeny:

Model_REML_Null         = rma.mv(r ~ 1, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_Null)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-19.6871   39.3743   47.3743   56.6972   47.9377   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0000     45     no  Study_ID   no 
sigma^2.2  0.0757  0.2751     77     no     Index   no 
sigma^2.3  0.0237  0.1539      9     no     Class  yes 

Test for Heterogeneity:
Q(df = 76) = 1182.7000, p-val < .0001

Model Results:

estimate      se    zval    pval   ci.lb   ci.ub    
  0.2341  0.0963  2.4321  0.0150  0.0455  0.4228  * 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Second, we ran a global model without the phylogeny:

Model_cREML_Null         = rma.mv(r ~ 1, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_Null)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-22.2286   44.4572   50.4572   57.4494   50.7905   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0143  0.1195     45     no  Study_ID 
sigma^2.2  0.0772  0.2778     77     no     Index 

Test for Heterogeneity:
Q(df = 76) = 1182.7000, p-val < .0001

Model Results:

estimate      se    zval    pval   ci.lb   ci.ub      
  0.2393  0.0401  5.9736  <.0001  0.1608  0.3178  *** 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Moderator tests for phylogenetic models

Next, we ran a series of models that test the effect of different moderators.
Again we started with models including the phylogeny.

Sexual selection mode

The first model explores the effect of the sexual selection mode (i.e. pre-copulatory, post-copulatory or both):

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("pre-copulatory"))
Model_REML_by_SexSelMode = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelMode)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
 -7.6879   15.3757   27.3757   41.2001   28.6294   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0013  0.0361     45     no  Study_ID   no 
sigma^2.2  0.0489  0.2212     77     no     Index   no 
sigma^2.3  0.0231  0.1519      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 74) = 944.4229, p-val < .0001

Test of Moderators (coefficients 2:3):
QM(df = 2) = 30.0173, p-val < .0001

Model Results:

                                    estimate      se     zval    pval    ci.lb 
intrcpt                               0.2305  0.0954   2.4172  0.0156   0.0436 
factor(SexSel_Mode)post-copulatory   -0.4418  0.1035  -4.2669  <.0001  -0.6447 
factor(SexSel_Mode)both               0.1330  0.0653   2.0381  0.0415   0.0051 
                                      ci.ub      
intrcpt                              0.4174    * 
factor(SexSel_Mode)post-copulatory  -0.2388  *** 
factor(SexSel_Mode)both              0.2610    * 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("post-copulatory"))
Model_REML_by_SexSelMode2 = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelMode2)

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("both"))
Model_REML_by_SexSelMode3 = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelMode3)

Finally, we computed FDR corrected p-values:

tab1=as.data.frame(round(p.adjust(c(0.0029, 0.1203, .0001), method = 'fdr'),digit=3),row.names=cbind("Pre-copulatory","Post-copulatory","Both"))
colnames(tab1)<-cbind('P-value')
tab1

                P-value
Pre-copulatory    0.004
Post-copulatory   0.120
Both              0.000

Plot sexual selection mode (Figure 2)

Here we plot the sexual selection mode moderator:

MetaData$SexSel_Mode=factor(MetaData$SexSel_Mode, levels = c("both","post-copulatory" ,"pre-copulatory"))

ggplot(MetaData, aes(x=SexSel_Mode, y=r, fill = SexSel_Mode, colour = SexSel_Mode)) +
  geom_hline(yintercept=0, linetype="longdash", color = "black", linewidth=1)+
  geom_flat_violin(position = position_nudge(x = 0.25, y = 0),adjust =1, trim = F,alpha=0.6)+
  geom_point(position = position_jitter(width = .1), size = 2.5,alpha=0.6,stroke=0,shape=19)+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode$b[1,1], x=3.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode2$b[1,1], x=2.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode3$b[1,1], x=1.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode$ci.lb[1], x=3.25, xend= 3.25, yend= Model_REML_by_SexSelMode$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode2$ci.lb[1], x=2.25, xend= 2.25, yend= Model_REML_by_SexSelMode2$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelMode3$ci.lb[1], x=1.25, xend= 1.25, yend= Model_REML_by_SexSelMode3$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  ylab(expression(paste("Effect size (", italic("r"),')')))+xlab('Sexual selection mode')+coord_flip()+guides(fill = FALSE, colour = FALSE) +
  scale_color_manual(values =colpal)+
  scale_fill_manual(values =colpal)+
  scale_x_discrete(labels=c("Both","Post-copulatory" ,"Pre-copulatory"),expand=c(.1,0))+
  annotate("text", x=1, y=1.2, label= "n = 37",size=4.5) +
  annotate("text", x=2, y=1.2, label= "n = 9",size=4.5) +
  annotate("text", x=3, y=1.2, label= "n = 39",size=4.5) + theme

Figure 2: Raincloud plot of correlation coefficients between SSD and the modes of sexual selection proxies (i.e. pre-copulatory, post-copulatory or both) including sample sizes and estimates with 95%CI from phylogenetic model.

Sexual selection category

Next we explored the effect of the sexual selection category (i.e. density, mating system, operational sex ratio (OSR), post-mating competition, pre-mating competition, trait-based, other):

MetaData$SexSel_Category=as.factor(MetaData$SexSel_Category)
MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Postmating competition"))
Model_REML_by_SexSelCat = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
  1.5992   -3.1985   16.8015   39.2865   20.5304   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0099  0.0995     45     no  Study_ID   no 
sigma^2.2  0.0280  0.1674     77     no     Index   no 
sigma^2.3  0.0211  0.1452      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 70) = 614.1683, p-val < .0001

Test of Moderators (coefficients 2:7):
QM(df = 6) = 64.7133, p-val < .0001

Model Results:

                                              estimate      se     zval    pval 
intrcpt                                        -0.2406  0.1219  -1.9737  0.0484 
factor(SexSel_Category)Density                  0.4303  0.1370   3.1415  0.0017 
factor(SexSel_Category)Mating system            0.5912  0.1037   5.7025  <.0001 
factor(SexSel_Category)OSR                      0.8225  0.1502   5.4765  <.0001 
factor(SexSel_Category)Other                    0.5567  0.1141   4.8791  <.0001 
factor(SexSel_Category)Premating competition    0.5294  0.1022   5.1790  <.0001 
factor(SexSel_Category)Trait-based              0.1821  0.1149   1.5850  0.1130 
                                                ci.lb    ci.ub      
intrcpt                                       -0.4795  -0.0017    * 
factor(SexSel_Category)Density                 0.1618   0.6988   ** 
factor(SexSel_Category)Mating system           0.3880   0.7944  *** 
factor(SexSel_Category)OSR                     0.5282   1.1169  *** 
factor(SexSel_Category)Other                   0.3331   0.7803  *** 
factor(SexSel_Category)Premating competition   0.3290   0.7297  *** 
factor(SexSel_Category)Trait-based            -0.0431   0.4073      

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Trait-based"))
Model_REML_by_SexSelCat2 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat2)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Density"))
Model_REML_by_SexSelCat3 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat3)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Premating competition"))
Model_REML_by_SexSelCat4 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat4)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Mating system"))
Model_REML_by_SexSelCat5 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat5)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("OSR"))
Model_REML_by_SexSelCat6 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat6)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Other"))
Model_REML_by_SexSelCat7 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SexSelCat7)

Finally, we computed FDR corrected p-values:

tab2=as.data.frame(round(p.adjust(c(0.0705, 0.5745, 0.1057, 0.0002, .0001, .0001, 0.0011), method = 'fdr'),digit=3),row.names=cbind("Postmating competition","Trait-based","Density",'Premating competition',"Mating system","OSR","Other"))
colnames(tab2)<-cbind('P-value')
tab2

                       P-value
Postmating competition   0.099
Trait-based              0.575
Density                  0.123
Premating competition    0.000
Mating system            0.000
OSR                      0.000
Other                    0.002

Plot sexual selection category (Figure S1)

Here we plot the sexual selection category moderator:

MetaData$SexSel_Category=factor(MetaData$SexSel_Category, levels = rev(c( "Postmating competition","Trait-based" ,"Density","Premating competition" ,"Mating system" , "OSR", "Other")))

ggplot(MetaData, aes(x=SexSel_Category, y=r, fill = SexSel_Category, colour = SexSel_Category)) +
  geom_hline(yintercept=0, linetype="longdash", color = "black", linewidth=1)+
  geom_flat_violin(position = position_nudge(x = 0.25, y = 0),adjust =1, trim = F,alpha=0.6)+
  geom_point(position = position_jitter(width = .1), size = 2.5,alpha=0.6,stroke=0,shape=19)+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat$b[1,1], x=7.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat2$b[1,1], x=6.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat3$b[1,1], x=5.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat4$b[1,1], x=4.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat5$b[1,1], x=3.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat6$b[1,1], x=2.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat7$b[1,1], x=1.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat$ci.lb[1], x=7.25, xend= 7.25, yend= Model_REML_by_SexSelCat$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat2$ci.lb[1], x=6.25, xend= 6.25, yend= Model_REML_by_SexSelCat2$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat3$ci.lb[1], x=5.25, xend= 5.25, yend= Model_REML_by_SexSelCat3$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat4$ci.lb[1], x=4.25, xend= 4.25, yend= Model_REML_by_SexSelCat4$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat5$ci.lb[1], x=3.25, xend= 3.25, yend= Model_REML_by_SexSelCat5$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat6$ci.lb[1], x=2.25, xend= 2.25, yend= Model_REML_by_SexSelCat6$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SexSelCat7$ci.lb[1], x=1.25, xend= 1.25, yend= Model_REML_by_SexSelCat7$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  ylab(expression(paste("Effect size (", italic("r"),')')))+xlab('Sexual selection category')+coord_flip()+guides(fill = FALSE, colour = FALSE) +
  scale_color_manual(values =colpal2)+
  scale_fill_manual(values =colpal2)+
  scale_x_discrete(labels=rev(c( "Post-mating\ncompetition","Trait-based" ,"Density","Pre-mating\ncompetition" ,"Mating\nsystem" , "OSR", "Other")),expand=c(.1,0))+
  annotate("text", x=7, y=1.2, label= "n = 9",size=4.5) +
  annotate("text", x=6, y=1.2, label= "n = 12",size=4.5) +
  annotate("text", x=5, y=1.2, label= "n = 5",size=4.5) +
  annotate("text", x=4, y=1.2, label= "n = 18",size=4.5) +
  annotate("text", x=3, y=1.2, label= "n = 23",size=4.5) +
  annotate("text", x=2, y=1.2, label= "n = 6",size=4.5) +
  annotate("text", x=1, y=1.2, label= "n = 12",size=4.5) + theme

Figure S1: Raincloud plot of correlation coefficients between SSD and different sexual selection categories including sample sizes and estimates with 95%CI from phylogenetic model.

Sex-bias in SSD

Next we explored the effect of the sex-bias in SSD (i.e. the proportion of female biased species within each study):

Model_REML_by_SSDBias = rma.mv(r ~ SSD_SexBias_in_perc_F, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SSDBias)


Multivariate Meta-Analysis Model (k = 71; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-16.6994   33.3989   43.3989   54.5694   44.3512   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0000     41     no  Study_ID   no 
sigma^2.2  0.0715  0.2674     71     no     Index   no 
sigma^2.3  0.0314  0.1771      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 69) = 1121.4981, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 0.0634, p-val = 0.8011

Model Results:

                       estimate      se     zval    pval    ci.lb   ci.ub    
intrcpt                  0.2586  0.1348   1.9181  0.0551  -0.0056  0.5228  . 
SSD_SexBias_in_perc_F   -0.0004  0.0016  -0.2519  0.8011  -0.0035  0.0027    

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Plot sex-bias in SSD (Figure S2)

Here we plot the sex-bias in SSD:

# Extract model predictions for figure
Model_REML_by_SexBias = rma.mv(r ~ SSD_SexBias_in_perc_F, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
model_p <- predict(Model_REML_by_SexBias)
MetaData_SexBias=MetaData[ !is.na(MetaData$SSD_SexBias_in_perc_F),]
preds<-cbind(MetaData_SexBias, model_p$pred,model_p$ci.lb,model_p$ci.ub)

ggplot(preds, aes(x=SSD_SexBias_in_perc_F, y=r)) +
  theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),panel.background = element_blank(), axis.line = element_line(colour = "black"))+
  theme(axis.text=element_text(size=13),
        axis.title=element_text(size=14))+ theme(legend.position="none")+
  geom_point(shape=16, size = 3,alpha=0.5)+xlab('% female biased species')+ylab(expression(paste("Effect size (", italic("r"),')')))+
  geom_hline(yintercept=0, linetype="dashed", color = "black", linewidth=1)+
  geom_line( aes(y = model_p$pred), size = 1)+ 
  geom_ribbon( aes(ymin = model_p$ci.lb, ymax = model_p$ci.ub, color = 'black',linetype=NA), alpha = .15,show.legend = F, outline.type = "both") +
  theme

Figure S2: Scatter plot of correlation coefficients against the proportion of female biased species within each study. Dashed line marks a correlation coefficient of zero, black line represents predictions from REML model (controlling for phylogeny) and grey area represents 95% CI on model predictions.

Type of SSD measure

Next we explored the effect of the type of SSD measure (i.e. body mass or size):

MetaData$SSD_Proxy=as.factor(MetaData$SSD_Proxy)
MetaData$SSD_Proxy=relevel(MetaData$SSD_Proxy,c("Body mass"))
Model_REML_by_SSDMeasure = rma.mv(r ~ SSD_Proxy, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SSDMeasure)


Multivariate Meta-Analysis Model (k = 75; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-19.3875   38.7751   48.7751   60.2274   49.6706   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0000     44     no  Study_ID   no 
sigma^2.2  0.0799  0.2826     75     no     Index   no 
sigma^2.3  0.0120  0.1095      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 73) = 1137.0026, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 2.4142, p-val = 0.1202

Model Results:

                    estimate      se     zval    pval    ci.lb   ci.ub     
intrcpt               0.3354  0.1021   3.2857  0.0010   0.1353  0.5354  ** 
SSD_ProxyBody size   -0.1372  0.0883  -1.5538  0.1202  -0.3102  0.0359     

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SSD_Proxy=relevel(MetaData$SSD_Proxy,c("Body size"))
Model_REML_by_SSDMeasure2 = rma.mv(r ~ SSD_Proxy, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_SSDMeasure2)

Finally, we computed FDR corrected p-values:

tab3=as.data.frame(round(p.adjust(c(0.0004, 0.0008), method = 'fdr'),digit=3),row.names=cbind("Body mass","Body size"))
colnames(tab3)<-cbind('P-value')
tab3

          P-value
Body mass   0.001
Body size   0.001

Plot Type of SSD measure (Figure S3)

Here we plot the type of SSD measure moderator:

MetaData_NAProxy=MetaData[!is.na(MetaData$SSD_Proxy),]
MetaData_NAProxy$SSD_Proxy=as.factor(MetaData_NAProxy$SSD_Proxy)
MetaData_NAProxy$SSD_Proxy=relevel(MetaData_NAProxy$SSD_Proxy,c("Body size"))

ggplot(MetaData_NAProxy, aes(x=SSD_Proxy, y=r, fill = SSD_Proxy, colour = SSD_Proxy)) +
  geom_hline(yintercept=0, linetype="longdash", color = "black", linewidth=1)+
  geom_flat_violin(position = position_nudge(x = 0.25, y = 0),adjust =1, trim = F,alpha=0.6)+
  geom_point(position = position_jitter(width = .1), size = 2.5,alpha=0.6,stroke=0,shape=19)+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SSDMeasure$b[1,1], x=2.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_SSDMeasure2$b[1,1], x=1.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SSDMeasure$ci.lb[1], x=2.25, xend= 2.25, yend= Model_REML_by_SSDMeasure$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_SSDMeasure2$ci.lb[1], x=1.25, xend= 1.25, yend= Model_REML_by_SSDMeasure2$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  ylab(expression(paste("Effect size (", italic("r"),')')))+xlab('Type of SSD measure')+coord_flip()+guides(fill = FALSE, colour = FALSE) +
  scale_color_manual(values =colpal4)+
  scale_fill_manual(values =colpal4)+
  scale_x_discrete(labels=rev(c("Body mass","Body size")),expand=c(.15,0))+
  annotate("text", x=2, y=1.2, label= "n = 37",size=4.5) +
  annotate("text", x=1, y=1.2, label= "n = 46",size=4.5)  + theme

Figure S3: Raincloud plot of correlation coefficients for different types of SSD measures (i.e. body mass or size) including sample sizes and estimates with 95%CI from phylogenetic model.

SSD measure controlled for body size?

Next we explored the effect if the primary study controlled the SSD for body size (i.e. uncontrolled or controlled):

MetaData$BodySizeControlled=as.factor(MetaData$BodySizeControlled)
MetaData$BodySizeControlled=relevel(MetaData$BodySizeControlled,c("No"))
Model_REML_by_BodySizeCont = rma.mv(r ~ BodySizeControlled, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_BodySizeCont)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-19.8069   39.6139   49.6139   61.2013   50.4835   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0000     45     no  Study_ID   no 
sigma^2.2  0.0768  0.2772     77     no     Index   no 
sigma^2.3  0.0236  0.1537      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 75) = 1181.8972, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 0.0691, p-val = 0.7927

Model Results:

                       estimate      se     zval    pval    ci.lb   ci.ub    
intrcpt                  0.2405  0.0995   2.4185  0.0156   0.0456  0.4355  * 
BodySizeControlledYes   -0.0266  0.1013  -0.2628  0.7927  -0.2252  0.1719    

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$BodySizeControlled=relevel(MetaData$BodySizeControlled,c("Yes"))
Model_REML_by_BodySizeCont2 = rma.mv(r ~ BodySizeControlled, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_BodySizeCont2)

Finally, we computed FDR corrected p-values:

tab4=as.data.frame(round(p.adjust(c(0.0006, 0.0337), method = 'fdr'),digit=3),row.names=cbind("uncontrolled","controlled"))
colnames(tab4)<-cbind('P-value')
tab4

             P-value
uncontrolled   0.001
controlled     0.034

Plot: SSD measure controlled for body size? (Figure S4)

Here we plot effect sizes if type of SSD measure controlled for body size:

MetaData$BodySizeControlled=as.factor(MetaData$BodySizeControlled)
MetaData$BodySizeControlled=relevel(MetaData$BodySizeControlled,c("Yes"))

ggplot(MetaData, aes(x=BodySizeControlled, y=r, fill = BodySizeControlled, colour = BodySizeControlled)) +
  geom_hline(yintercept=0, linetype="longdash", color = "black", linewidth=1)+
  geom_flat_violin(position = position_nudge(x = 0.25, y = 0),adjust =1, trim = F,alpha=0.6)+
  geom_point(position = position_jitter(width = .1), size = 2.5,alpha=0.6,stroke=0,shape=19)+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_BodySizeCont$b[1,1], x=2.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_point(inherit.aes = F,mapping = aes(y=Model_REML_by_BodySizeCont2$b[1,1], x=1.25), size = 3.5,alpha=1,stroke=0,shape=19,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_BodySizeCont$ci.lb[1], x=2.25, xend= 2.25, yend= Model_REML_by_BodySizeCont$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_REML_by_BodySizeCont2$ci.lb[1], x=1.25, xend= 1.25, yend= Model_REML_by_BodySizeCont2$ci.ub[1]), alpha=1,linewidth=1,color='grey30')+
  ylab(expression(paste("Effect size (", italic("r"),')')))+xlab('SSD controlled for body size?')+coord_flip()+guides(fill = FALSE, colour = FALSE) +
  scale_color_manual(values =colpal4)+
  scale_fill_manual(values =colpal4)+
  scale_x_discrete(labels=(c("Controlled","Uncontrolled")),expand=c(.15,0))+
  annotate("text", x=2, y=1.2, label= "n = 69",size=4.5) +
  annotate("text", x=1, y=1.2, label= "n = 16",size=4.5)  + theme

Figure S4: Raincloud plot of correlation coefficients for primary studies controlling SSD for body size or mass (uncontrolled or controlled) including sample sizes and estimates with 95%CI from phylogenetic model.

Taxa number

Next we explored the effect of the number of taxa within each study:

Model_REML_by_TaxaNumber = rma.mv(r ~ TaxaNumber, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
summary(Model_REML_by_TaxaNumber)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-19.4847   38.9695   48.9695   60.5569   49.8390   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0000     45     no  Study_ID   no 
sigma^2.2  0.0764  0.2764     77     no     Index   no 
sigma^2.3  0.0205  0.1431      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 75) = 1006.7328, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 1.0179, p-val = 0.3130

Model Results:

            estimate      se     zval    pval    ci.lb   ci.ub     
intrcpt       0.2471  0.0927   2.6666  0.0077   0.0655  0.4287  ** 
TaxaNumber   -0.0001  0.0001  -1.0089  0.3130  -0.0003  0.0001     

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Plot taxa number (Figure S6)

Here we plot the taxa number:

# Extract model predictions
Model_REML_by_TaxaNumber = rma.mv(r ~ log(TaxaNumber), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML")
model_p <- predict(Model_REML_by_TaxaNumber)
preds<-cbind(MetaData, model_p$pred,model_p$ci.lb,model_p$ci.ub)

ggplot(MetaData, aes(x=log(as.numeric(TaxaNumber)), y=r)) +
  theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),panel.background = element_blank(), axis.line = element_line(colour = "black"))+
  theme(axis.text=element_text(size=13),
        axis.title=element_text(size=14))+ theme(legend.position="none")+ylab(expression(paste("Effect size (", italic("r"),')')))+
  geom_point(shape=16, size = 3,alpha=0.5)+xlab('log Taxa number')+
  geom_hline(yintercept=0, linetype="dashed", color = "black", linewidth=1)+
  geom_line( aes(y = model_p$pred), size = 1)+ 
  geom_ribbon( aes(ymin = model_p$ci.lb, ymax = model_p$ci.ub, color = 'black',linetype=NA), alpha = .15,show.legend = F, outline.type = "both") +
  theme

Figure S6: Scatter plot of correlation coefficients against the natural logarithm of the number of taxa included in each study. Dashed line marks a correlation coefficient of zero, black line represents predictions from REML model (controlling for phylogeny) and grey area represents 95% CI on model predictions.

Publication year

Next we explored the effect of the publication year of each study:

Model_REML_by_Year = rma.mv(r ~ Year, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML",control=list(rel.tol=1e-8))
summary(Model_REML_by_Year)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-19.5055   39.0110   49.0110   60.5985   49.8806   

Variance Components:

            estim    sqrt  nlvls  fixed    factor    R 
sigma^2.1  0.0000  0.0001     45     no  Study_ID   no 
sigma^2.2  0.0754  0.2745     77     no     Index   no 
sigma^2.3  0.0248  0.1575      9     no     Class  yes 

Test for Residual Heterogeneity:
QE(df = 75) = 1060.4395, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 0.8325, p-val = 0.3616

Model Results:

         estimate      se     zval    pval    ci.lb    ci.ub    
intrcpt    7.7711  8.2609   0.9407  0.3469  -8.4200  23.9622    
Year      -0.0037  0.0041  -0.9124  0.3616  -0.0118   0.0043    

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Plot publication year (Figure S7)

Here we plot the publication yea:

# Extract model predictions
Model_REML_by_Year = rma.mv(r ~ Year, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index, ~ 1 | Class), R = list(Class = forcedC_Moderators), method = "REML",control=list(rel.tol=1e-8))
model_p <- predict(Model_REML_by_Year)
preds<-cbind(MetaData, model_p$pred,model_p$ci.lb,model_p$ci.ub)

ggplot(preds, aes(x=as.numeric(Year), y=r)) +
  theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),panel.background = element_blank(), axis.line = element_line(colour = "black"))+
  theme(axis.text=element_text(size=13),
        axis.title=element_text(size=14))+ theme(legend.position="none")+
  geom_point(shape=16, size = 3,alpha=0.5)+xlab('Publication year')+ylab(expression(paste("Effect size (", italic("r"),')')))+
  geom_hline(yintercept=0, linetype="dashed", color = "black", linewidth=1)+
  geom_line( aes(y = model_p$pred), size = 1)+ 
  geom_ribbon( aes(ymin = model_p$ci.lb, ymax = model_p$ci.ub, color = 'black',linetype=NA), alpha = .15,show.legend = F, outline.type = "both") +
  theme

Figure S7: Scatter plot of correlation coefficients against the publication year of each study. Dashed line marks a correlation coefficient of zero, black line represents predictions from REML model (controlling for phylogeny) and grey area represents 95% CI on model predictions.

Moderator tests for non-phylogenetic models

Here we ran all models without the phylogeny.

Sexual selection mode

The first model explores the effect of the sexual selection mode (i.e. pre-copulatory, post-copulatory or both):

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("pre-copulatory"))
Model_REML_by_cSexSelMode = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelMode)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-11.4194   22.8387   32.8387   44.3590   33.7211   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0094  0.0969     45     no  Study_ID 
sigma^2.2  0.0567  0.2381     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 74) = 944.4229, p-val < .0001

Test of Moderators (coefficients 2:3):
QM(df = 2) = 25.9764, p-val < .0001

Model Results:

                                    estimate      se     zval    pval    ci.lb 
intrcpt                               0.2187  0.0492   4.4484  <.0001   0.1223 
factor(SexSel_Mode)both               0.1643  0.0710   2.3126  0.0207   0.0251 
factor(SexSel_Mode)post-copulatory   -0.4065  0.1105  -3.6780  0.0002  -0.6232 
                                      ci.ub      
intrcpt                              0.3150  *** 
factor(SexSel_Mode)both              0.3036    * 
factor(SexSel_Mode)post-copulatory  -0.1899  *** 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("post-copulatory"))
Model_REML_by_cSexSelMode2 = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelMode2)

MetaData$SexSel_Mode=relevel(MetaData$SexSel_Mode,c("both"))
Model_REML_by_cSexSelMode3 = rma.mv(r ~ factor(SexSel_Mode), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index),  method = "REML")
summary(Model_REML_by_cSexSelMode3)

Finally, we computed FDR corrected p-values:

tab1=as.data.frame(round(p.adjust(c(0.0001, 0.0756, .0001), method = 'fdr'),digit=3),row.names=cbind("Pre-copulatory","Post-copulatory","Both"))
colnames(tab1)<-cbind('P-value')
tab1

                P-value
Pre-copulatory    0.000
Post-copulatory   0.076
Both              0.000

Sexual selection category

Next we explored the effect of the sexual selection category (i.e. density, mating system, operational sex ratio (OSR), post-mating competition, pre-mating competition, trait-based, other):

MetaData$SexSel_Category=as.factor(MetaData$SexSel_Category)
MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Postmating competition"))
Model_REML_by_cSexSelCat = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
 -0.3304    0.6607   18.6607   38.8972   21.6607   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0196  0.1399     45     no  Study_ID 
sigma^2.2  0.0290  0.1704     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 70) = 614.1683, p-val < .0001

Test of Moderators (coefficients 2:7):
QM(df = 6) = 64.8410, p-val < .0001

Model Results:

                                              estimate      se     zval    pval 
intrcpt                                        -0.1780  0.0913  -1.9498  0.0512 
factor(SexSel_Category)Other                    0.5575  0.1200   4.6453  <.0001 
factor(SexSel_Category)OSR                      0.7963  0.1520   5.2401  <.0001 
factor(SexSel_Category)Mating system            0.5724  0.1067   5.3629  <.0001 
factor(SexSel_Category)Premating competition    0.5179  0.1091   4.7481  <.0001 
factor(SexSel_Category)Density                  0.4395  0.1440   3.0525  0.0023 
factor(SexSel_Category)Trait-based              0.1278  0.1152   1.1092  0.2674 
                                                ci.lb   ci.ub      
intrcpt                                       -0.3570  0.0009    . 
factor(SexSel_Category)Other                   0.3223  0.7927  *** 
factor(SexSel_Category)OSR                     0.4985  1.0942  *** 
factor(SexSel_Category)Mating system           0.3632  0.7816  *** 
factor(SexSel_Category)Premating competition   0.3041  0.7316  *** 
factor(SexSel_Category)Density                 0.1573  0.7217   ** 
factor(SexSel_Category)Trait-based            -0.0980  0.3536      

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Trait-based"))
Model_REML_by_cSexSelCat2 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat2)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Density"))
Model_REML_by_cSexSelCat3 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat3)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Premating competition"))
Model_REML_by_cSexSelCat4 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat4)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Mating system"))
Model_REML_by_cSexSelCat5 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat5)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("OSR"))
Model_REML_by_cSexSelCat6 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat6)

MetaData$SexSel_Category=relevel(MetaData$SexSel_Category,c("Other"))
Model_REML_by_cSexSelCat7 = rma.mv(r ~ factor(SexSel_Category), V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSexSelCat7)

Finally, we computed FDR corrected p-values:

tab2=as.data.frame(round(p.adjust(c(0.0685, 0.5996, 0.0151, .0001, .0001, .0001, .0001), method = 'fdr'),digit=3),row.names=cbind("Postmating competition","Trait-based","Density",'Premating competition',"Mating system","OSR","Other"))
colnames(tab2)<-cbind('P-value')
tab2

                       P-value
Postmating competition   0.080
Trait-based              0.600
Density                  0.021
Premating competition    0.000
Mating system            0.000
OSR                      0.000
Other                    0.000

Phylogenetic classes

Next we explored the effect of the phylogenetic classes:

MetaData$Class=as.factor(MetaData$Class)
MetaData$Class=relevel(MetaData$Class,c("Nematoda"))
Model_cREML_by_Class = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-16.1287   32.2574   54.2574   78.6720   58.9717   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0000  0.0000     45     no  Study_ID 
sigma^2.2  0.0774  0.2782     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 68) = 776.5810, p-val < .0001

Test of Moderators (coefficients 2:9):
QM(df = 8) = 17.6591, p-val = 0.0239

Model Results:

                     estimate      se     zval    pval    ci.lb   ci.ub    
intrcpt                0.4222  0.2298   1.8376  0.0661  -0.0281  0.8726  . 
ClassActinopterygii   -0.2636  0.2605  -1.0118  0.3116  -0.7741  0.2470    
ClassAmphibia         -0.3092  0.2763  -1.1189  0.2632  -0.8507  0.2324    
ClassAnimalia         -0.1963  0.3107  -0.6318  0.5275  -0.8053  0.4127    
ClassAves             -0.3019  0.2390  -1.2629  0.2066  -0.7704  0.1666    
ClassInsecta          -0.1607  0.2684  -0.5987  0.5494  -0.6866  0.3653    
ClassMammalia         -0.0199  0.2370  -0.0841  0.9329  -0.4844  0.4445    
ClassPisces           -0.1639  0.3641  -0.4502  0.6526  -0.8776  0.5498    
ClassReptilia         -0.4246  0.2551  -1.6645  0.0960  -0.9246  0.0754  . 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$Class=relevel(MetaData$Class,c("Insecta"))
Model_cREML_by_Class2 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class2)

MetaData$Class=relevel(MetaData$Class,c("Aves"))
Model_cREML_by_Class3 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class3)

MetaData$Class=relevel(MetaData$Class,c("Reptilia"))
Model_cREML_by_Class4 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class4)

MetaData$Class=relevel(MetaData$Class,c("Mammalia"))
Model_cREML_by_Class5 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class5)

MetaData$Class=relevel(MetaData$Class,c("Amphibia"))
Model_cREML_by_Class6 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class6)

MetaData$Class=relevel(MetaData$Class,c("Actinopterygii"))
Model_cREML_by_Class7 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class7)


MetaData$Class=relevel(MetaData$Class,c("Pisces"))
Model_cREML_by_Class8 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class8)

MetaData$Class=relevel(MetaData$Class,c("Animalia"))
Model_cREML_by_Class9 = rma.mv(r ~ Class, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Class9)

Finally, we computed FDR corrected p-values:

tab2=as.data.frame(round(p.adjust(c(0.2557       ,0.4534     , 0.3747    ,0.0048    ,0.0016    ,.0001  ,0.1202    , 0.3966  ,0.4405       ), method = 'fdr'),digit=3),row.names=cbind( "Nematoda","Insecta","Aves","Reptilia","Mammalia","Amphibia","Actinopterygii","Pisces","Animalia"))
colnames(tab2)<-cbind('P-value')
tab2

               P-value
Nematoda         0.453
Insecta          0.453
Aves             0.453
Reptilia         0.014
Mammalia         0.007
Amphibia         0.001
Actinopterygii   0.270
Pisces           0.453
Animalia         0.453

Plot phylogenetic classes (Figure 3)

Here we plot the phylogenetic classes:

MetaData$Class=as.factor(MetaData$Class)
MetaData$Class=factor(MetaData$Class, levels = (c("Animalia","Pisces" ,"Actinopterygii","Amphibia","Mammalia","Reptilia","Aves","Insecta","Nematoda")))

ggplot(MetaData, aes(x=Class, y=r, fill = Class, colour = Class)) +
  geom_hline(yintercept=0, linetype="longdash", color = "black", linewidth=1)+
  geom_point(position = position_jitter(width = .1), size = 2.5,alpha=0.8,stroke=0,shape=19)+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class$b[1,1], x=9.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[9])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class2$b[1,1], x=8.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[8])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class3$b[1,1], x=7.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[7])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class4$b[1,1], x=6.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[6])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class5$b[1,1], x=5.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[5])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class6$b[1,1], x=4.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[4])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class7$b[1,1], x=3.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[3])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class8$b[1,1], x=2.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[2])+
  geom_point(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class9$b[1,1], x=1.35), size = 3.5,alpha=1,stroke=0,shape=19,color=colpal4[1])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class$ci.lb[1], x=9.35, xend= 9.35, yend= Model_cREML_by_Class$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[9])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class2$ci.lb[1], x=8.35, xend= 8.35, yend= Model_cREML_by_Class2$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[8])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class3$ci.lb[1], x=7.35, xend= 7.35, yend= Model_cREML_by_Class3$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[7])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class4$ci.lb[1], x=6.35, xend= 6.35, yend= Model_cREML_by_Class4$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[6])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class5$ci.lb[1], x=5.35, xend= 5.35, yend= Model_cREML_by_Class5$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[5])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class6$ci.lb[1], x=4.35, xend= 4.35, yend= Model_cREML_by_Class6$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[4])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class7$ci.lb[1], x=3.35, xend= 3.35, yend= Model_cREML_by_Class7$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[3])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class8$ci.lb[1], x=2.35, xend= 2.35, yend= Model_cREML_by_Class8$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[2])+
  geom_segment(inherit.aes = F,mapping = aes(y=Model_cREML_by_Class9$ci.lb[1], x=1.35, xend= 1.35, yend= Model_cREML_by_Class9$ci.ub[1]), alpha=1,linewidth=1,color=colpal4[1])+
  ylab(expression(paste("Effect size (", italic("r"),')')))+xlab('Class')+coord_flip()+guides(fill = FALSE, colour = FALSE) +
  scale_color_manual(values =colpal4)+
  scale_fill_manual(values =colpal4)+
  scale_x_discrete(labels=(c("Animalia","Pisces" ,"Actinopterygii","Amphibia","Mammalia","Reptilia","Aves","Insecta","Nematoda")),expand=c(.1,0))+
  theme

Figure 3: Phylogeny based on classes including sample sizes for the number of studies and number of effect sizes, respectively, and estimates with 95%CI from non-phylogenetic model.

Sex-bias in SSD

Next we explored the effect of the sex-bias in SSD (i.e. the proportion of female biased species within each study):

Model_cREML_by_SSDBias = rma.mv(r ~ SSD_SexBias_in_perc_F, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_SSDBias)


Multivariate Meta-Analysis Model (k = 71; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-18.8759   37.7517   45.7517   54.6882   46.3767   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0233  0.1525     41     no  Study_ID 
sigma^2.2  0.0663  0.2575     71     no     Index 

Test for Residual Heterogeneity:
QE(df = 69) = 1121.4981, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 2.5424, p-val = 0.1108

Model Results:

                       estimate      se     zval    pval    ci.lb   ci.ub      
intrcpt                  0.3463  0.0687   5.0376  <.0001   0.2116  0.4810  *** 
SSD_SexBias_in_perc_F   -0.0023  0.0014  -1.5945  0.1108  -0.0051  0.0005      

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Type of SSD measure

Next we explored the effect of the type of SSD measure (i.e. body mass or size):

MetaData$SSD_Proxy=as.factor(MetaData$SSD_Proxy)
MetaData$SSD_Proxy=relevel(MetaData$SSD_Proxy,c("Body mass"))
Model_REML_by_cSSDMeasure = rma.mv(r ~ SSD_Proxy, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSSDMeasure)


Multivariate Meta-Analysis Model (k = 75; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-20.0151   40.0302   48.0302   57.1920   48.6184   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0000  0.0000     44     no  Study_ID 
sigma^2.2  0.0856  0.2925     75     no     Index 

Test for Residual Heterogeneity:
QE(df = 73) = 1137.0026, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 6.0488, p-val = 0.0139

Model Results:

                    estimate      se     zval    pval    ci.lb    ci.ub      
intrcpt               0.3367  0.0549   6.1291  <.0001   0.2290   0.4443  *** 
SSD_ProxyBody size   -0.1825  0.0742  -2.4594  0.0139  -0.3279  -0.0371    * 

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$SSD_Proxy=relevel(MetaData$SSD_Proxy,c("Body size"))
Model_REML_by_cSSDMeasure2 = rma.mv(r ~ SSD_Proxy, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cSSDMeasure2)

Finally, we computed FDR corrected p-values:

tab3=as.data.frame(round(p.adjust(c(.0001, .0001), method = 'fdr'),digit=3),row.names=cbind("Body mass","Body size"))
colnames(tab3)<-cbind('P-value')
tab3

          P-value
Body mass       0
Body size       0

SSD measure controlled for body size?

Next we explored the effect if the primary study controlled the SSD for body size (i.e. uncontrolled or controlled):

MetaData$BodySizeControlled=as.factor(MetaData$BodySizeControlled)
MetaData$BodySizeControlled=relevel(MetaData$BodySizeControlled,c("No"))
Model_REML_by_cBodySizeCont = rma.mv(r ~ BodySizeControlled, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cBodySizeCont)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-22.0756   44.1512   52.1512   61.4212   52.7227   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0149  0.1220     45     no  Study_ID 
sigma^2.2  0.0769  0.2773     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 75) = 1181.8972, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 0.5960, p-val = 0.4401

Model Results:

                       estimate      se     zval    pval    ci.lb   ci.ub      
intrcpt                  0.2547  0.0447   5.6926  <.0001   0.1670  0.3424  *** 
BodySizeControlledYes   -0.0787  0.1020  -0.7720  0.4401  -0.2786  0.1212      

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

We then re-leveled the model for post-hoc comparisons:

MetaData$BodySizeControlled=relevel(MetaData$BodySizeControlled,c("Yes"))
Model_REML_by_cBodySizeCont2 = rma.mv(r ~ BodySizeControlled, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_REML_by_cBodySizeCont2)

Finally, we computed FDR corrected p-values:

tab4=as.data.frame(round(p.adjust(c(.0001, 0.0168), method = 'fdr'),digit=3),row.names=cbind("uncontrolled","controlled"))
colnames(tab4)<-cbind('P-value')
tab4

             P-value
uncontrolled   0.000
controlled     0.017

Taxa number

Next we explored the effect of the number of taxa within each study:

Model_cREML_by_TaxaNumber = rma.mv(r ~ TaxaNumber, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_TaxaNumber)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-21.2192   42.4384   50.4384   59.7083   51.0098   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0120  0.1094     45     no  Study_ID 
sigma^2.2  0.0770  0.2775     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 75) = 1006.7328, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 2.4799, p-val = 0.1153

Model Results:

            estimate      se     zval    pval    ci.lb   ci.ub      
intrcpt       0.2670  0.0433   6.1729  <.0001   0.1822  0.3518  *** 
TaxaNumber   -0.0001  0.0001  -1.5748  0.1153  -0.0003  0.0000      

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Publication year

Next we explored the effect of the publication year of each study:

Model_cREML_by_Year = rma.mv(r ~ Year, V=Var_r, data = MetaData, random = c(~ 1 | Study_ID,~ 1 | Index), method = "REML")
summary(Model_cREML_by_Year)


Multivariate Meta-Analysis Model (k = 77; method: REML)

  logLik  Deviance       AIC       BIC      AICc   
-22.0838   44.1677   52.1677   61.4376   52.7391   

Variance Components:

            estim    sqrt  nlvls  fixed    factor 
sigma^2.1  0.0193  0.1390     45     no  Study_ID 
sigma^2.2  0.0733  0.2707     77     no     Index 

Test for Residual Heterogeneity:
QE(df = 75) = 1060.4395, p-val < .0001

Test of Moderators (coefficient 2):
QM(df = 1) = 0.5199, p-val = 0.4709

Model Results:

         estimate      se     zval    pval     ci.lb    ci.ub    
intrcpt    7.0575  9.4535   0.7466  0.4553  -11.4710  25.5860    
Year      -0.0034  0.0047  -0.7210  0.4709   -0.0126   0.0058    

---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Forest plot

# Sort data by Class
MetaData$Class=as.factor(MetaData$Class)
MetaData$Class=factor(MetaData$Class, levels = c("Animalia","Pisces" ,"Actinopterygii","Amphibia","Mammalia","Reptilia","Aves","Insecta","Nematoda"))
MetaData_sorted <-MetaData[order(MetaData$Class),]

# Add global effect size to data
forestData=MetaData_sorted[,c(3,5,12,17,20,21)]
GlobalES=as.data.frame(cbind('Global effect size','','Global effect size',Model_REML_Null$b[1,1],Model_REML_Null$ci.lb[1],Model_REML_Null$ci.ub[1]))
colnames(GlobalES)=c('AuthorsAndYear','Class','SexSel_Mode','r','lCI','uCI')
forestData=rbind(GlobalES,forestData)
forestData[,c(4:6)]=lapply(forestData[,c(4:6)],as.numeric)
forestData$SexSel_Mode=as.factor(forestData$SexSel_Mode)
forestData$SexSel_Mode=factor(forestData$SexSel_Mode, levels = c("pre-copulatory","post-copulatory" ,"both","Global effect size"))

Figure 1

ggplot(data=forestData, aes(y=1:nrow(forestData), x=r, xmin=lCI, xmax=uCI,color=SexSel_Mode)) +
  geom_vline(xintercept=0, color='black', linetype='dashed', alpha=.5,linewidth=0.8) +
  geom_point(size = ifelse(1:nrow(forestData) == c(1), 2.75, 1.8))+
  geom_errorbarh(height=0,size = ifelse(1:nrow(forestData) == c(1), 1.25, 1))+
  scale_y_continuous(breaks=seq(1, nrow(forestData), by=1), labels=forestData$AuthorsAndYear,limits=c(1,length(forestData$AuthorsAndYear)),expand=c(0.015,0.015)) +
  labs(title='', x=expression(paste(italic("r "),'(95% CI)')), y = 'Study') +
  theme_classic()+theme(axis.text.x=element_text(size=12),
                        axis.title=element_text(size=12))+ labs(color =  c("Sexual selection mode"))+ 
  scale_colour_manual(values=Meta_col, labels=c('Pre-copulatory','Post-copulatory',"Both","Global effect size"))+
  guides(color = guide_legend(override.aes = list(size = .9)))

Figure 1: Forest plot including correlation coefficients (±95% CI), as well as the global effect size (in grey) with and without controlling for phylogeny. Different animal classes highlighted by background colors (see Figure 3 for class names) and sexual selection modes pre- (red), post-copulatory (blue) and both (green) by color of effect size.

Test for publication bias

To test for publication bias, we transformed r into z scores and ran MCMCglmm models (‘MCMCglmm’ package) with z as the predictor and its standard error as the response with study ID and an observation level random effect. While the variance in r depends on the effect size and the sample size, the variance in z is only dependent on the sample size. Hence, if z values correlate with the variance in z, this indicates that small studies were only published, if the effect was large, suggesting publication bias.

# MCMCglmm model
# Set uninformative priors
pr<-list(R=list(V=1,nu=0.002), G=list(G1=list(V=1,nu=0.002),
                                      G2=list(V=1,nu=0.002),
                                      G3=list(V=1,nu=0.002)))

BURNIN = 1000000
NITT   = 11000000
THIN   = 500

MetaData$animal=NA
MetaData$animal=MetaData$Class

MCMC_model_PubBias <- MCMCglmm(z~SE_z,random=~animal  + Index + Study_ID,
                               pedigree=Tree_Class,
                               prior=pr,
                               data=MetaData,
                               pr = TRUE,
                               burnin = BURNIN,
                               nitt=NITT,
                               thin=THIN)


                       MCMC iteration = 0

                       MCMC iteration = 1000

                       MCMC iteration = 2000

                       MCMC iteration = 3000

                       MCMC iteration = 4000

                       MCMC iteration = 5000

                       MCMC iteration = 6000

                       MCMC iteration = 7000

                       MCMC iteration = 8000

                       MCMC iteration = 9000

                       MCMC iteration = 10000

                       MCMC iteration = 11000

                       MCMC iteration = 12000

                       MCMC iteration = 13000

                       MCMC iteration = 14000

                       MCMC iteration = 15000

                       MCMC iteration = 16000

                       MCMC iteration = 17000

                       MCMC iteration = 18000

                       MCMC iteration = 19000

                       MCMC iteration = 20000

                       MCMC iteration = 21000

                       MCMC iteration = 22000

                       MCMC iteration = 23000

                       MCMC iteration = 24000

                       MCMC iteration = 25000

                       MCMC iteration = 26000

                       MCMC iteration = 27000

                       MCMC iteration = 28000

                       MCMC iteration = 29000

                       MCMC iteration = 30000

                       MCMC iteration = 31000

                       MCMC iteration = 32000

                       MCMC iteration = 33000

                       MCMC iteration = 34000

                       MCMC iteration = 35000

                       MCMC iteration = 36000

                       MCMC iteration = 37000

                       MCMC iteration = 38000

                       MCMC iteration = 39000

                       MCMC iteration = 40000

                       MCMC iteration = 41000

                       MCMC iteration = 42000

                       MCMC iteration = 43000

                       MCMC iteration = 44000

                       MCMC iteration = 45000

                       MCMC iteration = 46000

                       MCMC iteration = 47000

                       MCMC iteration = 48000

                       MCMC iteration = 49000

                       MCMC iteration = 50000

                       MCMC iteration = 51000

                       MCMC iteration = 52000

                       MCMC iteration = 53000

                       MCMC iteration = 54000

                       MCMC iteration = 55000

                       MCMC iteration = 56000

                       MCMC iteration = 57000

                       MCMC iteration = 58000

                       MCMC iteration = 59000

                       MCMC iteration = 60000

                       MCMC iteration = 61000

                       MCMC iteration = 62000

                       MCMC iteration = 63000

                       MCMC iteration = 64000

                       MCMC iteration = 65000

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                       MCMC iteration = 67000

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                       MCMC iteration = 69000

                       MCMC iteration = 70000

                       MCMC iteration = 71000

                       MCMC iteration = 72000

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                       MCMC iteration = 76000

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                       MCMC iteration = 78000

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                       MCMC iteration = 80000

                       MCMC iteration = 81000

                       MCMC iteration = 82000

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                       MCMC iteration = 90000

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                       MCMC iteration = 92000

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                       MCMC iteration = 100000

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                       MCMC iteration = 102000

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                       MCMC iteration = 859000

                       MCMC iteration = 860000

                       MCMC iteration = 861000

                       MCMC iteration = 862000

                       MCMC iteration = 863000

                       MCMC iteration = 864000

                       MCMC iteration = 865000

                       MCMC iteration = 866000

                       MCMC iteration = 867000

                       MCMC iteration = 868000

                       MCMC iteration = 869000

                       MCMC iteration = 870000

                       MCMC iteration = 871000

                       MCMC iteration = 872000

                       MCMC iteration = 873000

                       MCMC iteration = 874000

                       MCMC iteration = 875000

                       MCMC iteration = 876000

                       MCMC iteration = 877000

                       MCMC iteration = 878000

                       MCMC iteration = 879000

                       MCMC iteration = 880000

                       MCMC iteration = 881000

                       MCMC iteration = 882000

                       MCMC iteration = 883000

                       MCMC iteration = 884000

                       MCMC iteration = 885000

                       MCMC iteration = 886000

                       MCMC iteration = 887000

                       MCMC iteration = 888000

                       MCMC iteration = 889000

                       MCMC iteration = 890000

                       MCMC iteration = 891000

                       MCMC iteration = 892000

                       MCMC iteration = 893000

                       MCMC iteration = 894000

                       MCMC iteration = 895000

                       MCMC iteration = 896000

                       MCMC iteration = 897000

                       MCMC iteration = 898000

                       MCMC iteration = 899000

                       MCMC iteration = 900000

                       MCMC iteration = 901000

                       MCMC iteration = 902000

                       MCMC iteration = 903000

                       MCMC iteration = 904000

                       MCMC iteration = 905000

                       MCMC iteration = 906000

                       MCMC iteration = 907000

                       MCMC iteration = 908000

                       MCMC iteration = 909000

                       MCMC iteration = 910000

                       MCMC iteration = 911000

                       MCMC iteration = 912000

                       MCMC iteration = 913000

                       MCMC iteration = 914000

                       MCMC iteration = 915000

                       MCMC iteration = 916000

                       MCMC iteration = 917000

                       MCMC iteration = 918000

                       MCMC iteration = 919000

                       MCMC iteration = 920000

                       MCMC iteration = 921000

                       MCMC iteration = 922000

                       MCMC iteration = 923000

                       MCMC iteration = 924000

                       MCMC iteration = 925000

                       MCMC iteration = 926000

                       MCMC iteration = 927000

                       MCMC iteration = 928000

                       MCMC iteration = 929000

                       MCMC iteration = 930000

                       MCMC iteration = 931000

                       MCMC iteration = 932000

                       MCMC iteration = 933000

                       MCMC iteration = 934000

                       MCMC iteration = 935000

                       MCMC iteration = 936000

                       MCMC iteration = 937000

                       MCMC iteration = 938000

                       MCMC iteration = 939000

                       MCMC iteration = 940000

                       MCMC iteration = 941000

                       MCMC iteration = 942000

                       MCMC iteration = 943000

                       MCMC iteration = 944000

                       MCMC iteration = 945000

                       MCMC iteration = 946000

                       MCMC iteration = 947000

                       MCMC iteration = 948000

                       MCMC iteration = 949000

                       MCMC iteration = 950000

                       MCMC iteration = 951000

                       MCMC iteration = 952000

                       MCMC iteration = 953000

                       MCMC iteration = 954000

                       MCMC iteration = 955000

                       MCMC iteration = 956000

                       MCMC iteration = 957000

                       MCMC iteration = 958000

                       MCMC iteration = 959000

                       MCMC iteration = 960000

                       MCMC iteration = 961000

                       MCMC iteration = 962000

                       MCMC iteration = 963000

                       MCMC iteration = 964000

                       MCMC iteration = 965000

                       MCMC iteration = 966000

                       MCMC iteration = 967000

                       MCMC iteration = 968000

                       MCMC iteration = 969000

                       MCMC iteration = 970000

                       MCMC iteration = 971000

                       MCMC iteration = 972000

                       MCMC iteration = 973000

                       MCMC iteration = 974000

                       MCMC iteration = 975000

                       MCMC iteration = 976000

                       MCMC iteration = 977000

                       MCMC iteration = 978000

                       MCMC iteration = 979000

                       MCMC iteration = 980000

                       MCMC iteration = 981000

                       MCMC iteration = 982000

                       MCMC iteration = 983000

                       MCMC iteration = 984000

                       MCMC iteration = 985000

                       MCMC iteration = 986000

                       MCMC iteration = 987000

                       MCMC iteration = 988000

                       MCMC iteration = 989000

                       MCMC iteration = 990000

                       MCMC iteration = 991000

                       MCMC iteration = 992000

                       MCMC iteration = 993000

                       MCMC iteration = 994000

                       MCMC iteration = 995000

                       MCMC iteration = 996000

                       MCMC iteration = 997000

                       MCMC iteration = 998000

                       MCMC iteration = 999000

                       MCMC iteration = 1000000

                       MCMC iteration = 1001000

                       MCMC iteration = 1002000

                       MCMC iteration = 1003000

                       MCMC iteration = 1004000

                       MCMC iteration = 1005000

                       MCMC iteration = 1006000

                       MCMC iteration = 1007000

                       MCMC iteration = 1008000

                       MCMC iteration = 1009000

                       MCMC iteration = 1010000

                       MCMC iteration = 1011000

                       MCMC iteration = 1012000

                       MCMC iteration = 1013000

                       MCMC iteration = 1014000

                       MCMC iteration = 1015000

                       MCMC iteration = 1016000

                       MCMC iteration = 1017000

                       MCMC iteration = 1018000

                       MCMC iteration = 1019000

                       MCMC iteration = 1020000

                       MCMC iteration = 1021000

                       MCMC iteration = 1022000

                       MCMC iteration = 1023000

                       MCMC iteration = 1024000

                       MCMC iteration = 1025000

                       MCMC iteration = 1026000

                       MCMC iteration = 1027000

                       MCMC iteration = 1028000

                       MCMC iteration = 1029000

                       MCMC iteration = 1030000

                       MCMC iteration = 1031000

                       MCMC iteration = 1032000

                       MCMC iteration = 1033000

                       MCMC iteration = 1034000

                       MCMC iteration = 1035000

                       MCMC iteration = 1036000

                       MCMC iteration = 1037000

                       MCMC iteration = 1038000

                       MCMC iteration = 1039000

                       MCMC iteration = 1040000

                       MCMC iteration = 1041000

                       MCMC iteration = 1042000

                       MCMC iteration = 1043000

                       MCMC iteration = 1044000

                       MCMC iteration = 1045000

                       MCMC iteration = 1046000

                       MCMC iteration = 1047000

                       MCMC iteration = 1048000

                       MCMC iteration = 1049000

                       MCMC iteration = 1050000

                       MCMC iteration = 1051000

                       MCMC iteration = 1052000

                       MCMC iteration = 1053000

                       MCMC iteration = 1054000

                       MCMC iteration = 1055000

                       MCMC iteration = 1056000

                       MCMC iteration = 1057000

                       MCMC iteration = 1058000

                       MCMC iteration = 1059000

                       MCMC iteration = 1060000

                       MCMC iteration = 1061000

                       MCMC iteration = 1062000

                       MCMC iteration = 1063000

                       MCMC iteration = 1064000

                       MCMC iteration = 1065000

                       MCMC iteration = 1066000

                       MCMC iteration = 1067000

                       MCMC iteration = 1068000

                       MCMC iteration = 1069000

                       MCMC iteration = 1070000

                       MCMC iteration = 1071000

                       MCMC iteration = 1072000

                       MCMC iteration = 1073000

                       MCMC iteration = 1074000

                       MCMC iteration = 1075000

                       MCMC iteration = 1076000

                       MCMC iteration = 1077000

                       MCMC iteration = 1078000

                       MCMC iteration = 1079000

                       MCMC iteration = 1080000

                       MCMC iteration = 1081000

                       MCMC iteration = 1082000

                       MCMC iteration = 1083000

                       MCMC iteration = 1084000

                       MCMC iteration = 1085000

                       MCMC iteration = 1086000

                       MCMC iteration = 1087000

                       MCMC iteration = 1088000

                       MCMC iteration = 1089000

                       MCMC iteration = 1090000

                       MCMC iteration = 1091000

                       MCMC iteration = 1092000

                       MCMC iteration = 1093000

                       MCMC iteration = 1094000

                       MCMC iteration = 1095000

                       MCMC iteration = 1096000

                       MCMC iteration = 1097000

                       MCMC iteration = 1098000

                       MCMC iteration = 1099000

                       MCMC iteration = 1100000

                       MCMC iteration = 1101000

                       MCMC iteration = 1102000

                       MCMC iteration = 1103000

                       MCMC iteration = 1104000

                       MCMC iteration = 1105000

                       MCMC iteration = 1106000

                       MCMC iteration = 1107000

                       MCMC iteration = 1108000

                       MCMC iteration = 1109000

                       MCMC iteration = 1110000

                       MCMC iteration = 1111000

                       MCMC iteration = 1112000

                       MCMC iteration = 1113000

                       MCMC iteration = 1114000

                       MCMC iteration = 1115000

                       MCMC iteration = 1116000

                       MCMC iteration = 1117000

                       MCMC iteration = 1118000

                       MCMC iteration = 1119000

                       MCMC iteration = 1120000

                       MCMC iteration = 1121000

                       MCMC iteration = 1122000

                       MCMC iteration = 1123000

                       MCMC iteration = 1124000

                       MCMC iteration = 1125000

                       MCMC iteration = 1126000

                       MCMC iteration = 1127000

                       MCMC iteration = 1128000

                       MCMC iteration = 1129000

                       MCMC iteration = 1130000

                       MCMC iteration = 1131000

                       MCMC iteration = 1132000

                       MCMC iteration = 1133000

                       MCMC iteration = 1134000

                       MCMC iteration = 1135000

                       MCMC iteration = 1136000

                       MCMC iteration = 1137000

                       MCMC iteration = 1138000

                       MCMC iteration = 1139000

                       MCMC iteration = 1140000

                       MCMC iteration = 1141000

                       MCMC iteration = 1142000

                       MCMC iteration = 1143000

                       MCMC iteration = 1144000

                       MCMC iteration = 1145000

                       MCMC iteration = 1146000

                       MCMC iteration = 1147000

                       MCMC iteration = 1148000

                       MCMC iteration = 1149000

                       MCMC iteration = 1150000

                       MCMC iteration = 1151000

                       MCMC iteration = 1152000

                       MCMC iteration = 1153000

                       MCMC iteration = 1154000

                       MCMC iteration = 1155000

                       MCMC iteration = 1156000

                       MCMC iteration = 1157000

                       MCMC iteration = 1158000

                       MCMC iteration = 1159000

                       MCMC iteration = 1160000

                       MCMC iteration = 1161000

                       MCMC iteration = 1162000

                       MCMC iteration = 1163000

                       MCMC iteration = 1164000

                       MCMC iteration = 1165000

                       MCMC iteration = 1166000

                       MCMC iteration = 1167000

                       MCMC iteration = 1168000

                       MCMC iteration = 1169000

                       MCMC iteration = 1170000

                       MCMC iteration = 1171000

                       MCMC iteration = 1172000

                       MCMC iteration = 1173000

                       MCMC iteration = 1174000

                       MCMC iteration = 1175000

                       MCMC iteration = 1176000

                       MCMC iteration = 1177000

                       MCMC iteration = 1178000

                       MCMC iteration = 1179000

                       MCMC iteration = 1180000

                       MCMC iteration = 1181000

                       MCMC iteration = 1182000

                       MCMC iteration = 1183000

                       MCMC iteration = 1184000

                       MCMC iteration = 1185000

                       MCMC iteration = 1186000

                       MCMC iteration = 1187000

                       MCMC iteration = 1188000

                       MCMC iteration = 1189000

                       MCMC iteration = 1190000

                       MCMC iteration = 1191000

                       MCMC iteration = 1192000

                       MCMC iteration = 1193000

                       MCMC iteration = 1194000

                       MCMC iteration = 1195000

                       MCMC iteration = 1196000

                       MCMC iteration = 1197000

                       MCMC iteration = 1198000

                       MCMC iteration = 1199000

                       MCMC iteration = 1200000

                       MCMC iteration = 1201000

                       MCMC iteration = 1202000

                       MCMC iteration = 1203000

                       MCMC iteration = 1204000

                       MCMC iteration = 1205000

                       MCMC iteration = 1206000

                       MCMC iteration = 1207000

                       MCMC iteration = 1208000

                       MCMC iteration = 1209000

                       MCMC iteration = 1210000

                       MCMC iteration = 1211000

                       MCMC iteration = 1212000

                       MCMC iteration = 1213000

                       MCMC iteration = 1214000

                       MCMC iteration = 1215000

                       MCMC iteration = 1216000

                       MCMC iteration = 1217000

                       MCMC iteration = 1218000

                       MCMC iteration = 1219000

                       MCMC iteration = 1220000

                       MCMC iteration = 1221000

                       MCMC iteration = 1222000

                       MCMC iteration = 1223000

                       MCMC iteration = 1224000

                       MCMC iteration = 1225000

                       MCMC iteration = 1226000

                       MCMC iteration = 1227000

                       MCMC iteration = 1228000

                       MCMC iteration = 1229000

                       MCMC iteration = 1230000

                       MCMC iteration = 1231000

                       MCMC iteration = 1232000

                       MCMC iteration = 1233000

                       MCMC iteration = 1234000

                       MCMC iteration = 1235000

                       MCMC iteration = 1236000

                       MCMC iteration = 1237000

                       MCMC iteration = 1238000

                       MCMC iteration = 1239000

                       MCMC iteration = 1240000

                       MCMC iteration = 1241000

                       MCMC iteration = 1242000

                       MCMC iteration = 1243000

                       MCMC iteration = 1244000

                       MCMC iteration = 1245000

                       MCMC iteration = 1246000

                       MCMC iteration = 1247000

                       MCMC iteration = 1248000

                       MCMC iteration = 1249000

                       MCMC iteration = 1250000

                       MCMC iteration = 1251000

                       MCMC iteration = 1252000

                       MCMC iteration = 1253000

                       MCMC iteration = 1254000

                       MCMC iteration = 1255000

                       MCMC iteration = 1256000

                       MCMC iteration = 1257000

                       MCMC iteration = 1258000

                       MCMC iteration = 1259000

                       MCMC iteration = 1260000

                       MCMC iteration = 1261000

                       MCMC iteration = 1262000

                       MCMC iteration = 1263000

                       MCMC iteration = 1264000

                       MCMC iteration = 1265000

                       MCMC iteration = 1266000

                       MCMC iteration = 1267000

                       MCMC iteration = 1268000

                       MCMC iteration = 1269000

                       MCMC iteration = 1270000

                       MCMC iteration = 1271000

                       MCMC iteration = 1272000

                       MCMC iteration = 1273000

                       MCMC iteration = 1274000

                       MCMC iteration = 1275000

                       MCMC iteration = 1276000

                       MCMC iteration = 1277000

                       MCMC iteration = 1278000

                       MCMC iteration = 1279000

                       MCMC iteration = 1280000

                       MCMC iteration = 1281000

                       MCMC iteration = 1282000

                       MCMC iteration = 1283000

                       MCMC iteration = 1284000

                       MCMC iteration = 1285000

                       MCMC iteration = 1286000

                       MCMC iteration = 1287000

                       MCMC iteration = 1288000

                       MCMC iteration = 1289000

                       MCMC iteration = 1290000

                       MCMC iteration = 1291000

                       MCMC iteration = 1292000

                       MCMC iteration = 1293000

                       MCMC iteration = 1294000

                       MCMC iteration = 1295000

                       MCMC iteration = 1296000

                       MCMC iteration = 1297000

                       MCMC iteration = 1298000

                       MCMC iteration = 1299000

                       MCMC iteration = 1300000

                       MCMC iteration = 1301000

                       MCMC iteration = 1302000

                       MCMC iteration = 1303000

                       MCMC iteration = 1304000

                       MCMC iteration = 1305000

                       MCMC iteration = 1306000

                       MCMC iteration = 1307000

                       MCMC iteration = 1308000

                       MCMC iteration = 1309000

                       MCMC iteration = 1310000

                       MCMC iteration = 1311000

                       MCMC iteration = 1312000

                       MCMC iteration = 1313000

                       MCMC iteration = 1314000

                       MCMC iteration = 1315000

                       MCMC iteration = 1316000

                       MCMC iteration = 1317000

                       MCMC iteration = 1318000

                       MCMC iteration = 1319000

                       MCMC iteration = 1320000

                       MCMC iteration = 1321000

                       MCMC iteration = 1322000

                       MCMC iteration = 1323000

                       MCMC iteration = 1324000

                       MCMC iteration = 1325000

                       MCMC iteration = 1326000

                       MCMC iteration = 1327000

                       MCMC iteration = 1328000

                       MCMC iteration = 1329000

                       MCMC iteration = 1330000

                       MCMC iteration = 1331000

                       MCMC iteration = 1332000

                       MCMC iteration = 1333000

                       MCMC iteration = 1334000

                       MCMC iteration = 1335000

                       MCMC iteration = 1336000

                       MCMC iteration = 1337000

                       MCMC iteration = 1338000

                       MCMC iteration = 1339000

                       MCMC iteration = 1340000

                       MCMC iteration = 1341000

                       MCMC iteration = 1342000

                       MCMC iteration = 1343000

                       MCMC iteration = 1344000

                       MCMC iteration = 1345000

                       MCMC iteration = 1346000

                       MCMC iteration = 1347000

                       MCMC iteration = 1348000

                       MCMC iteration = 1349000

                       MCMC iteration = 1350000

                       MCMC iteration = 1351000

                       MCMC iteration = 1352000

                       MCMC iteration = 1353000

                       MCMC iteration = 1354000

                       MCMC iteration = 1355000

                       MCMC iteration = 1356000

                       MCMC iteration = 1357000

                       MCMC iteration = 1358000

                       MCMC iteration = 1359000

                       MCMC iteration = 1360000

                       MCMC iteration = 1361000

                       MCMC iteration = 1362000

                       MCMC iteration = 1363000

                       MCMC iteration = 1364000

                       MCMC iteration = 1365000

                       MCMC iteration = 1366000

                       MCMC iteration = 1367000

                       MCMC iteration = 1368000

                       MCMC iteration = 1369000

                       MCMC iteration = 1370000

                       MCMC iteration = 1371000

                       MCMC iteration = 1372000

                       MCMC iteration = 1373000

                       MCMC iteration = 1374000

                       MCMC iteration = 1375000

                       MCMC iteration = 1376000

                       MCMC iteration = 1377000

                       MCMC iteration = 1378000

                       MCMC iteration = 1379000

                       MCMC iteration = 1380000

                       MCMC iteration = 1381000

                       MCMC iteration = 1382000

                       MCMC iteration = 1383000

                       MCMC iteration = 1384000

                       MCMC iteration = 1385000

                       MCMC iteration = 1386000

                       MCMC iteration = 1387000

                       MCMC iteration = 1388000

                       MCMC iteration = 1389000

                       MCMC iteration = 1390000

                       MCMC iteration = 1391000

                       MCMC iteration = 1392000

                       MCMC iteration = 1393000

                       MCMC iteration = 1394000

                       MCMC iteration = 1395000

                       MCMC iteration = 1396000

                       MCMC iteration = 1397000

                       MCMC iteration = 1398000

                       MCMC iteration = 1399000

                       MCMC iteration = 1400000

                       MCMC iteration = 1401000

                       MCMC iteration = 1402000

                       MCMC iteration = 1403000

                       MCMC iteration = 1404000

                       MCMC iteration = 1405000

                       MCMC iteration = 1406000

                       MCMC iteration = 1407000

                       MCMC iteration = 1408000

                       MCMC iteration = 1409000

                       MCMC iteration = 1410000

                       MCMC iteration = 1411000

                       MCMC iteration = 1412000

                       MCMC iteration = 1413000

                       MCMC iteration = 1414000

                       MCMC iteration = 1415000

                       MCMC iteration = 1416000

                       MCMC iteration = 1417000

                       MCMC iteration = 1418000

                       MCMC iteration = 1419000

                       MCMC iteration = 1420000

                       MCMC iteration = 1421000

                       MCMC iteration = 1422000

                       MCMC iteration = 1423000

                       MCMC iteration = 1424000

                       MCMC iteration = 1425000

                       MCMC iteration = 1426000

                       MCMC iteration = 1427000

                       MCMC iteration = 1428000

                       MCMC iteration = 1429000

                       MCMC iteration = 1430000

                       MCMC iteration = 1431000

                       MCMC iteration = 1432000

                       MCMC iteration = 1433000

                       MCMC iteration = 1434000

                       MCMC iteration = 1435000

                       MCMC iteration = 1436000

                       MCMC iteration = 1437000

                       MCMC iteration = 1438000

                       MCMC iteration = 1439000

                       MCMC iteration = 1440000

                       MCMC iteration = 1441000

                       MCMC iteration = 1442000

                       MCMC iteration = 1443000

                       MCMC iteration = 1444000

                       MCMC iteration = 1445000

                       MCMC iteration = 1446000

                       MCMC iteration = 1447000

                       MCMC iteration = 1448000

                       MCMC iteration = 1449000

                       MCMC iteration = 1450000

                       MCMC iteration = 1451000

                       MCMC iteration = 1452000

                       MCMC iteration = 1453000

                       MCMC iteration = 1454000

                       MCMC iteration = 1455000

                       MCMC iteration = 1456000

                       MCMC iteration = 1457000

                       MCMC iteration = 1458000

                       MCMC iteration = 1459000

                       MCMC iteration = 1460000

                       MCMC iteration = 1461000

                       MCMC iteration = 1462000

                       MCMC iteration = 1463000

                       MCMC iteration = 1464000

                       MCMC iteration = 1465000

                       MCMC iteration = 1466000

                       MCMC iteration = 1467000

                       MCMC iteration = 1468000

                       MCMC iteration = 1469000

                       MCMC iteration = 1470000

                       MCMC iteration = 1471000

                       MCMC iteration = 1472000

                       MCMC iteration = 1473000

                       MCMC iteration = 1474000

                       MCMC iteration = 1475000

                       MCMC iteration = 1476000

                       MCMC iteration = 1477000

                       MCMC iteration = 1478000

                       MCMC iteration = 1479000

                       MCMC iteration = 1480000

                       MCMC iteration = 1481000

                       MCMC iteration = 1482000

                       MCMC iteration = 1483000

                       MCMC iteration = 1484000

                       MCMC iteration = 1485000

                       MCMC iteration = 1486000

                       MCMC iteration = 1487000

                       MCMC iteration = 1488000

                       MCMC iteration = 1489000

                       MCMC iteration = 1490000

                       MCMC iteration = 1491000

                       MCMC iteration = 1492000

                       MCMC iteration = 1493000

                       MCMC iteration = 1494000

                       MCMC iteration = 1495000

                       MCMC iteration = 1496000

                       MCMC iteration = 1497000

                       MCMC iteration = 1498000

                       MCMC iteration = 1499000

                       MCMC iteration = 1500000

                       MCMC iteration = 1501000

                       MCMC iteration = 1502000

                       MCMC iteration = 1503000

                       MCMC iteration = 1504000

                       MCMC iteration = 1505000

                       MCMC iteration = 1506000

                       MCMC iteration = 1507000

                       MCMC iteration = 1508000

                       MCMC iteration = 1509000

                       MCMC iteration = 1510000

                       MCMC iteration = 1511000

                       MCMC iteration = 1512000

                       MCMC iteration = 1513000

                       MCMC iteration = 1514000

                       MCMC iteration = 1515000

                       MCMC iteration = 1516000

                       MCMC iteration = 1517000

                       MCMC iteration = 1518000

                       MCMC iteration = 1519000

                       MCMC iteration = 1520000

                       MCMC iteration = 1521000

                       MCMC iteration = 1522000

                       MCMC iteration = 1523000

                       MCMC iteration = 1524000

                       MCMC iteration = 1525000

                       MCMC iteration = 1526000

                       MCMC iteration = 1527000

                       MCMC iteration = 1528000

                       MCMC iteration = 1529000

                       MCMC iteration = 1530000

                       MCMC iteration = 1531000

                       MCMC iteration = 1532000

                       MCMC iteration = 1533000

                       MCMC iteration = 1534000

                       MCMC iteration = 1535000

                       MCMC iteration = 1536000

                       MCMC iteration = 1537000

                       MCMC iteration = 1538000

                       MCMC iteration = 1539000

                       MCMC iteration = 1540000

                       MCMC iteration = 1541000

                       MCMC iteration = 1542000

                       MCMC iteration = 1543000

                       MCMC iteration = 1544000

                       MCMC iteration = 1545000

                       MCMC iteration = 1546000

                       MCMC iteration = 1547000

                       MCMC iteration = 1548000

                       MCMC iteration = 1549000

                       MCMC iteration = 1550000

                       MCMC iteration = 1551000

                       MCMC iteration = 1552000

                       MCMC iteration = 1553000

                       MCMC iteration = 1554000

                       MCMC iteration = 1555000

                       MCMC iteration = 1556000

                       MCMC iteration = 1557000

                       MCMC iteration = 1558000

                       MCMC iteration = 1559000

                       MCMC iteration = 1560000

                       MCMC iteration = 1561000

                       MCMC iteration = 1562000

                       MCMC iteration = 1563000

                       MCMC iteration = 1564000

                       MCMC iteration = 1565000

                       MCMC iteration = 1566000

                       MCMC iteration = 1567000

                       MCMC iteration = 1568000

                       MCMC iteration = 1569000

                       MCMC iteration = 1570000

                       MCMC iteration = 1571000

                       MCMC iteration = 1572000

                       MCMC iteration = 1573000

                       MCMC iteration = 1574000

                       MCMC iteration = 1575000

                       MCMC iteration = 1576000

                       MCMC iteration = 1577000

                       MCMC iteration = 1578000

                       MCMC iteration = 1579000

                       MCMC iteration = 1580000

                       MCMC iteration = 1581000

                       MCMC iteration = 1582000

                       MCMC iteration = 1583000

                       MCMC iteration = 1584000

                       MCMC iteration = 1585000

                       MCMC iteration = 1586000

                       MCMC iteration = 1587000

                       MCMC iteration = 1588000

                       MCMC iteration = 1589000

                       MCMC iteration = 1590000

                       MCMC iteration = 1591000

                       MCMC iteration = 1592000

                       MCMC iteration = 1593000

                       MCMC iteration = 1594000

                       MCMC iteration = 1595000

                       MCMC iteration = 1596000

                       MCMC iteration = 1597000

                       MCMC iteration = 1598000

                       MCMC iteration = 1599000

                       MCMC iteration = 1600000

                       MCMC iteration = 1601000

                       MCMC iteration = 1602000

                       MCMC iteration = 1603000

                       MCMC iteration = 1604000

                       MCMC iteration = 1605000

                       MCMC iteration = 1606000

                       MCMC iteration = 1607000

                       MCMC iteration = 1608000

                       MCMC iteration = 1609000

                       MCMC iteration = 1610000

                       MCMC iteration = 1611000

                       MCMC iteration = 1612000

                       MCMC iteration = 1613000

                       MCMC iteration = 1614000

                       MCMC iteration = 1615000

                       MCMC iteration = 1616000

                       MCMC iteration = 1617000

                       MCMC iteration = 1618000

                       MCMC iteration = 1619000

                       MCMC iteration = 1620000

                       MCMC iteration = 1621000

                       MCMC iteration = 1622000

                       MCMC iteration = 1623000

                       MCMC iteration = 1624000

                       MCMC iteration = 1625000

                       MCMC iteration = 1626000

                       MCMC iteration = 1627000

                       MCMC iteration = 1628000

                       MCMC iteration = 1629000

                       MCMC iteration = 1630000

                       MCMC iteration = 1631000

                       MCMC iteration = 1632000

                       MCMC iteration = 1633000

                       MCMC iteration = 1634000

                       MCMC iteration = 1635000

                       MCMC iteration = 1636000

                       MCMC iteration = 1637000

                       MCMC iteration = 1638000

                       MCMC iteration = 1639000

                       MCMC iteration = 1640000

                       MCMC iteration = 1641000

                       MCMC iteration = 1642000

                       MCMC iteration = 1643000

                       MCMC iteration = 1644000

                       MCMC iteration = 1645000

                       MCMC iteration = 1646000

                       MCMC iteration = 1647000

                       MCMC iteration = 1648000

                       MCMC iteration = 1649000

                       MCMC iteration = 1650000

                       MCMC iteration = 1651000

                       MCMC iteration = 1652000

                       MCMC iteration = 1653000

                       MCMC iteration = 1654000

                       MCMC iteration = 1655000

                       MCMC iteration = 1656000

                       MCMC iteration = 1657000

                       MCMC iteration = 1658000

                       MCMC iteration = 1659000

                       MCMC iteration = 1660000

                       MCMC iteration = 1661000

                       MCMC iteration = 1662000

                       MCMC iteration = 1663000

                       MCMC iteration = 1664000

                       MCMC iteration = 1665000

                       MCMC iteration = 1666000

                       MCMC iteration = 1667000

                       MCMC iteration = 1668000

                       MCMC iteration = 1669000

                       MCMC iteration = 1670000

                       MCMC iteration = 1671000

                       MCMC iteration = 1672000

                       MCMC iteration = 1673000

                       MCMC iteration = 1674000

                       MCMC iteration = 1675000

                       MCMC iteration = 1676000

                       MCMC iteration = 1677000

                       MCMC iteration = 1678000

                       MCMC iteration = 1679000

                       MCMC iteration = 1680000

                       MCMC iteration = 1681000

                       MCMC iteration = 1682000

                       MCMC iteration = 1683000

                       MCMC iteration = 1684000

                       MCMC iteration = 1685000

                       MCMC iteration = 1686000

                       MCMC iteration = 1687000

                       MCMC iteration = 1688000

                       MCMC iteration = 1689000

                       MCMC iteration = 1690000

                       MCMC iteration = 1691000

                       MCMC iteration = 1692000

                       MCMC iteration = 1693000

                       MCMC iteration = 1694000

                       MCMC iteration = 1695000

                       MCMC iteration = 1696000

                       MCMC iteration = 1697000

                       MCMC iteration = 1698000

                       MCMC iteration = 1699000

                       MCMC iteration = 1700000

                       MCMC iteration = 1701000

                       MCMC iteration = 1702000

                       MCMC iteration = 1703000

                       MCMC iteration = 1704000

                       MCMC iteration = 1705000

                       MCMC iteration = 1706000

                       MCMC iteration = 1707000

                       MCMC iteration = 1708000

                       MCMC iteration = 1709000

                       MCMC iteration = 1710000

                       MCMC iteration = 1711000

                       MCMC iteration = 1712000

                       MCMC iteration = 1713000

                       MCMC iteration = 1714000

                       MCMC iteration = 1715000

                       MCMC iteration = 1716000

                       MCMC iteration = 1717000

                       MCMC iteration = 1718000

                       MCMC iteration = 1719000

                       MCMC iteration = 1720000

                       MCMC iteration = 1721000

                       MCMC iteration = 1722000

                       MCMC iteration = 1723000

                       MCMC iteration = 1724000

                       MCMC iteration = 1725000

                       MCMC iteration = 1726000

                       MCMC iteration = 1727000

                       MCMC iteration = 1728000

                       MCMC iteration = 1729000

                       MCMC iteration = 1730000

                       MCMC iteration = 1731000

                       MCMC iteration = 1732000

                       MCMC iteration = 1733000

                       MCMC iteration = 1734000

                       MCMC iteration = 1735000

                       MCMC iteration = 1736000

                       MCMC iteration = 1737000

                       MCMC iteration = 1738000

                       MCMC iteration = 1739000

                       MCMC iteration = 1740000

                       MCMC iteration = 1741000

                       MCMC iteration = 1742000

                       MCMC iteration = 1743000

                       MCMC iteration = 1744000

                       MCMC iteration = 1745000

                       MCMC iteration = 1746000

                       MCMC iteration = 1747000

                       MCMC iteration = 1748000

                       MCMC iteration = 1749000

                       MCMC iteration = 1750000

                       MCMC iteration = 1751000

                       MCMC iteration = 1752000

                       MCMC iteration = 1753000

                       MCMC iteration = 1754000

                       MCMC iteration = 1755000

                       MCMC iteration = 1756000

                       MCMC iteration = 1757000

                       MCMC iteration = 1758000

                       MCMC iteration = 1759000

                       MCMC iteration = 1760000

                       MCMC iteration = 1761000

                       MCMC iteration = 1762000

                       MCMC iteration = 1763000

                       MCMC iteration = 1764000

                       MCMC iteration = 1765000

                       MCMC iteration = 1766000

                       MCMC iteration = 1767000

                       MCMC iteration = 1768000

                       MCMC iteration = 1769000

                       MCMC iteration = 1770000

                       MCMC iteration = 1771000

                       MCMC iteration = 1772000

                       MCMC iteration = 1773000

                       MCMC iteration = 1774000

                       MCMC iteration = 1775000

                       MCMC iteration = 1776000

                       MCMC iteration = 1777000

                       MCMC iteration = 1778000

                       MCMC iteration = 1779000

                       MCMC iteration = 1780000

                       MCMC iteration = 1781000

                       MCMC iteration = 1782000

                       MCMC iteration = 1783000

                       MCMC iteration = 1784000

                       MCMC iteration = 1785000

                       MCMC iteration = 1786000

                       MCMC iteration = 1787000

                       MCMC iteration = 1788000

                       MCMC iteration = 1789000

                       MCMC iteration = 1790000

                       MCMC iteration = 1791000

                       MCMC iteration = 1792000

                       MCMC iteration = 1793000

                       MCMC iteration = 1794000

                       MCMC iteration = 1795000

                       MCMC iteration = 1796000

                       MCMC iteration = 1797000

                       MCMC iteration = 1798000

                       MCMC iteration = 1799000

                       MCMC iteration = 1800000

                       MCMC iteration = 1801000

                       MCMC iteration = 1802000

                       MCMC iteration = 1803000

                       MCMC iteration = 1804000

                       MCMC iteration = 1805000

                       MCMC iteration = 1806000

                       MCMC iteration = 1807000

                       MCMC iteration = 1808000

                       MCMC iteration = 1809000

                       MCMC iteration = 1810000

                       MCMC iteration = 1811000

                       MCMC iteration = 1812000

                       MCMC iteration = 1813000

                       MCMC iteration = 1814000

                       MCMC iteration = 1815000

                       MCMC iteration = 1816000

                       MCMC iteration = 1817000

                       MCMC iteration = 1818000

                       MCMC iteration = 1819000

                       MCMC iteration = 1820000

                       MCMC iteration = 1821000

                       MCMC iteration = 1822000

                       MCMC iteration = 1823000

                       MCMC iteration = 1824000

                       MCMC iteration = 1825000

                       MCMC iteration = 1826000

                       MCMC iteration = 1827000

                       MCMC iteration = 1828000

                       MCMC iteration = 1829000

                       MCMC iteration = 1830000

                       MCMC iteration = 1831000

                       MCMC iteration = 1832000

                       MCMC iteration = 1833000

                       MCMC iteration = 1834000

                       MCMC iteration = 1835000

                       MCMC iteration = 1836000

                       MCMC iteration = 1837000

                       MCMC iteration = 1838000

                       MCMC iteration = 1839000

                       MCMC iteration = 1840000

                       MCMC iteration = 1841000

                       MCMC iteration = 1842000

                       MCMC iteration = 1843000

                       MCMC iteration = 1844000

                       MCMC iteration = 1845000

                       MCMC iteration = 1846000

                       MCMC iteration = 1847000

                       MCMC iteration = 1848000

                       MCMC iteration = 1849000

                       MCMC iteration = 1850000

                       MCMC iteration = 1851000

                       MCMC iteration = 1852000

                       MCMC iteration = 1853000

                       MCMC iteration = 1854000

                       MCMC iteration = 1855000

                       MCMC iteration = 1856000

                       MCMC iteration = 1857000

                       MCMC iteration = 1858000

                       MCMC iteration = 1859000

                       MCMC iteration = 1860000

                       MCMC iteration = 1861000

                       MCMC iteration = 1862000

                       MCMC iteration = 1863000

                       MCMC iteration = 1864000

                       MCMC iteration = 1865000

                       MCMC iteration = 1866000

                       MCMC iteration = 1867000

                       MCMC iteration = 1868000

                       MCMC iteration = 1869000

                       MCMC iteration = 1870000

                       MCMC iteration = 1871000

                       MCMC iteration = 1872000

                       MCMC iteration = 1873000

                       MCMC iteration = 1874000

                       MCMC iteration = 1875000

                       MCMC iteration = 1876000

                       MCMC iteration = 1877000

                       MCMC iteration = 1878000

                       MCMC iteration = 1879000

                       MCMC iteration = 1880000

                       MCMC iteration = 1881000

                       MCMC iteration = 1882000

                       MCMC iteration = 1883000

                       MCMC iteration = 1884000

                       MCMC iteration = 1885000

                       MCMC iteration = 1886000

                       MCMC iteration = 1887000

                       MCMC iteration = 1888000

                       MCMC iteration = 1889000

                       MCMC iteration = 1890000

                       MCMC iteration = 1891000

                       MCMC iteration = 1892000

                       MCMC iteration = 1893000

                       MCMC iteration = 1894000

                       MCMC iteration = 1895000

                       MCMC iteration = 1896000

                       MCMC iteration = 1897000

                       MCMC iteration = 1898000

                       MCMC iteration = 1899000

                       MCMC iteration = 1900000

                       MCMC iteration = 1901000

                       MCMC iteration = 1902000

                       MCMC iteration = 1903000

                       MCMC iteration = 1904000

                       MCMC iteration = 1905000

                       MCMC iteration = 1906000

                       MCMC iteration = 1907000

                       MCMC iteration = 1908000

                       MCMC iteration = 1909000

                       MCMC iteration = 1910000

                       MCMC iteration = 1911000

                       MCMC iteration = 1912000

                       MCMC iteration = 1913000

                       MCMC iteration = 1914000

                       MCMC iteration = 1915000

                       MCMC iteration = 1916000

                       MCMC iteration = 1917000

                       MCMC iteration = 1918000

                       MCMC iteration = 1919000

                       MCMC iteration = 1920000

                       MCMC iteration = 1921000

                       MCMC iteration = 1922000

                       MCMC iteration = 1923000

                       MCMC iteration = 1924000

                       MCMC iteration = 1925000

                       MCMC iteration = 1926000

                       MCMC iteration = 1927000

                       MCMC iteration = 1928000

                       MCMC iteration = 1929000

                       MCMC iteration = 1930000

                       MCMC iteration = 1931000

                       MCMC iteration = 1932000

                       MCMC iteration = 1933000

                       MCMC iteration = 1934000

                       MCMC iteration = 1935000

                       MCMC iteration = 1936000

                       MCMC iteration = 1937000

                       MCMC iteration = 1938000

                       MCMC iteration = 1939000

                       MCMC iteration = 1940000

                       MCMC iteration = 1941000

                       MCMC iteration = 1942000

                       MCMC iteration = 1943000

                       MCMC iteration = 1944000

                       MCMC iteration = 1945000

                       MCMC iteration = 1946000

                       MCMC iteration = 1947000

                       MCMC iteration = 1948000

                       MCMC iteration = 1949000

                       MCMC iteration = 1950000

                       MCMC iteration = 1951000

                       MCMC iteration = 1952000

                       MCMC iteration = 1953000

                       MCMC iteration = 1954000

                       MCMC iteration = 1955000

                       MCMC iteration = 1956000

                       MCMC iteration = 1957000

                       MCMC iteration = 1958000

                       MCMC iteration = 1959000

                       MCMC iteration = 1960000

                       MCMC iteration = 1961000

                       MCMC iteration = 1962000

                       MCMC iteration = 1963000

                       MCMC iteration = 1964000

                       MCMC iteration = 1965000

                       MCMC iteration = 1966000

                       MCMC iteration = 1967000

                       MCMC iteration = 1968000

                       MCMC iteration = 1969000

                       MCMC iteration = 1970000

                       MCMC iteration = 1971000

                       MCMC iteration = 1972000

                       MCMC iteration = 1973000

                       MCMC iteration = 1974000

                       MCMC iteration = 1975000

                       MCMC iteration = 1976000

                       MCMC iteration = 1977000

                       MCMC iteration = 1978000

                       MCMC iteration = 1979000

                       MCMC iteration = 1980000

                       MCMC iteration = 1981000

                       MCMC iteration = 1982000

                       MCMC iteration = 1983000

                       MCMC iteration = 1984000

                       MCMC iteration = 1985000

                       MCMC iteration = 1986000

                       MCMC iteration = 1987000

                       MCMC iteration = 1988000

                       MCMC iteration = 1989000

                       MCMC iteration = 1990000

                       MCMC iteration = 1991000

                       MCMC iteration = 1992000

                       MCMC iteration = 1993000

                       MCMC iteration = 1994000

                       MCMC iteration = 1995000

                       MCMC iteration = 1996000

                       MCMC iteration = 1997000

                       MCMC iteration = 1998000

                       MCMC iteration = 1999000

                       MCMC iteration = 2000000

                       MCMC iteration = 2001000

                       MCMC iteration = 2002000

                       MCMC iteration = 2003000

                       MCMC iteration = 2004000

                       MCMC iteration = 2005000

                       MCMC iteration = 2006000

                       MCMC iteration = 2007000

                       MCMC iteration = 2008000

                       MCMC iteration = 2009000

                       MCMC iteration = 2010000

                       MCMC iteration = 2011000

                       MCMC iteration = 2012000

                       MCMC iteration = 2013000

                       MCMC iteration = 2014000

                       MCMC iteration = 2015000

                       MCMC iteration = 2016000

                       MCMC iteration = 2017000

                       MCMC iteration = 2018000

                       MCMC iteration = 2019000

                       MCMC iteration = 2020000

                       MCMC iteration = 2021000

                       MCMC iteration = 2022000

                       MCMC iteration = 2023000

                       MCMC iteration = 2024000

                       MCMC iteration = 2025000

                       MCMC iteration = 2026000

                       MCMC iteration = 2027000

                       MCMC iteration = 2028000

                       MCMC iteration = 2029000

                       MCMC iteration = 2030000

                       MCMC iteration = 2031000

                       MCMC iteration = 2032000

                       MCMC iteration = 2033000

                       MCMC iteration = 2034000

                       MCMC iteration = 2035000

                       MCMC iteration = 2036000

                       MCMC iteration = 2037000

                       MCMC iteration = 2038000

                       MCMC iteration = 2039000

                       MCMC iteration = 2040000

                       MCMC iteration = 2041000

                       MCMC iteration = 2042000

                       MCMC iteration = 2043000

                       MCMC iteration = 2044000

                       MCMC iteration = 2045000

                       MCMC iteration = 2046000

                       MCMC iteration = 2047000

                       MCMC iteration = 2048000

                       MCMC iteration = 2049000

                       MCMC iteration = 2050000

                       MCMC iteration = 2051000

                       MCMC iteration = 2052000

                       MCMC iteration = 2053000

                       MCMC iteration = 2054000

                       MCMC iteration = 2055000

                       MCMC iteration = 2056000

                       MCMC iteration = 2057000

                       MCMC iteration = 2058000

                       MCMC iteration = 2059000

                       MCMC iteration = 2060000

                       MCMC iteration = 2061000

                       MCMC iteration = 2062000

                       MCMC iteration = 2063000

                       MCMC iteration = 2064000

                       MCMC iteration = 2065000

                       MCMC iteration = 2066000

                       MCMC iteration = 2067000

                       MCMC iteration = 2068000

                       MCMC iteration = 2069000

                       MCMC iteration = 2070000

                       MCMC iteration = 2071000

                       MCMC iteration = 2072000

                       MCMC iteration = 2073000

                       MCMC iteration = 2074000

                       MCMC iteration = 2075000

                       MCMC iteration = 2076000

                       MCMC iteration = 2077000

                       MCMC iteration = 2078000

                       MCMC iteration = 2079000

                       MCMC iteration = 2080000

                       MCMC iteration = 2081000

                       MCMC iteration = 2082000

                       MCMC iteration = 2083000

                       MCMC iteration = 2084000

                       MCMC iteration = 2085000

                       MCMC iteration = 2086000

                       MCMC iteration = 2087000

                       MCMC iteration = 2088000

                       MCMC iteration = 2089000

                       MCMC iteration = 2090000

                       MCMC iteration = 2091000

                       MCMC iteration = 2092000

                       MCMC iteration = 2093000

                       MCMC iteration = 2094000

                       MCMC iteration = 2095000

                       MCMC iteration = 2096000

                       MCMC iteration = 2097000

                       MCMC iteration = 2098000

                       MCMC iteration = 2099000

                       MCMC iteration = 2100000

                       MCMC iteration = 2101000

                       MCMC iteration = 2102000

                       MCMC iteration = 2103000

                       MCMC iteration = 2104000

                       MCMC iteration = 2105000

                       MCMC iteration = 2106000

                       MCMC iteration = 2107000

                       MCMC iteration = 2108000

                       MCMC iteration = 2109000

                       MCMC iteration = 2110000

                       MCMC iteration = 2111000

                       MCMC iteration = 2112000

                       MCMC iteration = 2113000

                       MCMC iteration = 2114000

                       MCMC iteration = 2115000

                       MCMC iteration = 2116000

                       MCMC iteration = 2117000

                       MCMC iteration = 2118000

                       MCMC iteration = 2119000

                       MCMC iteration = 2120000

                       MCMC iteration = 2121000

                       MCMC iteration = 2122000

                       MCMC iteration = 2123000

                       MCMC iteration = 2124000

                       MCMC iteration = 2125000

                       MCMC iteration = 2126000

                       MCMC iteration = 2127000

                       MCMC iteration = 2128000

                       MCMC iteration = 2129000

                       MCMC iteration = 2130000

                       MCMC iteration = 2131000

                       MCMC iteration = 2132000

                       MCMC iteration = 2133000

                       MCMC iteration = 2134000

                       MCMC iteration = 2135000

                       MCMC iteration = 2136000

                       MCMC iteration = 2137000

                       MCMC iteration = 2138000

                       MCMC iteration = 2139000

                       MCMC iteration = 2140000

                       MCMC iteration = 2141000

                       MCMC iteration = 2142000

                       MCMC iteration = 2143000

                       MCMC iteration = 2144000

                       MCMC iteration = 2145000

                       MCMC iteration = 2146000

                       MCMC iteration = 2147000

                       MCMC iteration = 2148000

                       MCMC iteration = 2149000

                       MCMC iteration = 2150000

                       MCMC iteration = 2151000

                       MCMC iteration = 2152000

                       MCMC iteration = 2153000

                       MCMC iteration = 2154000

                       MCMC iteration = 2155000

                       MCMC iteration = 2156000

                       MCMC iteration = 2157000

                       MCMC iteration = 2158000

                       MCMC iteration = 2159000

                       MCMC iteration = 2160000

                       MCMC iteration = 2161000

                       MCMC iteration = 2162000

                       MCMC iteration = 2163000

                       MCMC iteration = 2164000

                       MCMC iteration = 2165000

                       MCMC iteration = 2166000

                       MCMC iteration = 2167000

                       MCMC iteration = 2168000

                       MCMC iteration = 2169000

                       MCMC iteration = 2170000

                       MCMC iteration = 2171000

                       MCMC iteration = 2172000

                       MCMC iteration = 2173000

                       MCMC iteration = 2174000

                       MCMC iteration = 2175000

                       MCMC iteration = 2176000

                       MCMC iteration = 2177000

                       MCMC iteration = 2178000

                       MCMC iteration = 2179000

                       MCMC iteration = 2180000

                       MCMC iteration = 2181000

                       MCMC iteration = 2182000

                       MCMC iteration = 2183000

                       MCMC iteration = 2184000

                       MCMC iteration = 2185000

                       MCMC iteration = 2186000

                       MCMC iteration = 2187000

                       MCMC iteration = 2188000

                       MCMC iteration = 2189000

                       MCMC iteration = 2190000

                       MCMC iteration = 2191000

                       MCMC iteration = 2192000

                       MCMC iteration = 2193000

                       MCMC iteration = 2194000

                       MCMC iteration = 2195000

                       MCMC iteration = 2196000

                       MCMC iteration = 2197000

                       MCMC iteration = 2198000

                       MCMC iteration = 2199000

                       MCMC iteration = 2200000

                       MCMC iteration = 2201000

                       MCMC iteration = 2202000

                       MCMC iteration = 2203000

                       MCMC iteration = 2204000

                       MCMC iteration = 2205000

                       MCMC iteration = 2206000

                       MCMC iteration = 2207000

                       MCMC iteration = 2208000

                       MCMC iteration = 2209000

                       MCMC iteration = 2210000

                       MCMC iteration = 2211000

                       MCMC iteration = 2212000

                       MCMC iteration = 2213000

                       MCMC iteration = 2214000

                       MCMC iteration = 2215000

                       MCMC iteration = 2216000

                       MCMC iteration = 2217000

                       MCMC iteration = 2218000

                       MCMC iteration = 2219000

                       MCMC iteration = 2220000

                       MCMC iteration = 2221000

                       MCMC iteration = 2222000

                       MCMC iteration = 2223000

                       MCMC iteration = 2224000

                       MCMC iteration = 2225000

                       MCMC iteration = 2226000

                       MCMC iteration = 2227000

                       MCMC iteration = 2228000

                       MCMC iteration = 2229000

                       MCMC iteration = 2230000

                       MCMC iteration = 2231000

                       MCMC iteration = 2232000

                       MCMC iteration = 2233000

                       MCMC iteration = 2234000

                       MCMC iteration = 2235000

                       MCMC iteration = 2236000

                       MCMC iteration = 2237000

                       MCMC iteration = 2238000

                       MCMC iteration = 2239000

                       MCMC iteration = 2240000

                       MCMC iteration = 2241000

                       MCMC iteration = 2242000

                       MCMC iteration = 2243000

                       MCMC iteration = 2244000

                       MCMC iteration = 2245000

                       MCMC iteration = 2246000

                       MCMC iteration = 2247000

                       MCMC iteration = 2248000

                       MCMC iteration = 2249000

                       MCMC iteration = 2250000

                       MCMC iteration = 2251000

                       MCMC iteration = 2252000

                       MCMC iteration = 2253000

                       MCMC iteration = 2254000

                       MCMC iteration = 2255000

                       MCMC iteration = 2256000

                       MCMC iteration = 2257000

                       MCMC iteration = 2258000

                       MCMC iteration = 2259000

                       MCMC iteration = 2260000

                       MCMC iteration = 2261000

                       MCMC iteration = 2262000

                       MCMC iteration = 2263000

                       MCMC iteration = 2264000

                       MCMC iteration = 2265000

                       MCMC iteration = 2266000

                       MCMC iteration = 2267000

                       MCMC iteration = 2268000

                       MCMC iteration = 2269000

                       MCMC iteration = 2270000

                       MCMC iteration = 2271000

                       MCMC iteration = 2272000

                       MCMC iteration = 2273000

                       MCMC iteration = 2274000

                       MCMC iteration = 2275000

                       MCMC iteration = 2276000

                       MCMC iteration = 2277000

                       MCMC iteration = 2278000

                       MCMC iteration = 2279000

                       MCMC iteration = 2280000

                       MCMC iteration = 2281000

                       MCMC iteration = 2282000

                       MCMC iteration = 2283000

                       MCMC iteration = 2284000

                       MCMC iteration = 2285000

                       MCMC iteration = 2286000

                       MCMC iteration = 2287000

                       MCMC iteration = 2288000

                       MCMC iteration = 2289000

                       MCMC iteration = 2290000

                       MCMC iteration = 2291000

                       MCMC iteration = 2292000

                       MCMC iteration = 2293000

                       MCMC iteration = 2294000

                       MCMC iteration = 2295000

                       MCMC iteration = 2296000

                       MCMC iteration = 2297000

                       MCMC iteration = 2298000

                       MCMC iteration = 2299000

                       MCMC iteration = 2300000

                       MCMC iteration = 2301000

                       MCMC iteration = 2302000

                       MCMC iteration = 2303000

                       MCMC iteration = 2304000

                       MCMC iteration = 2305000

                       MCMC iteration = 2306000

                       MCMC iteration = 2307000

                       MCMC iteration = 2308000

                       MCMC iteration = 2309000

                       MCMC iteration = 2310000

                       MCMC iteration = 2311000

                       MCMC iteration = 2312000

                       MCMC iteration = 2313000

                       MCMC iteration = 2314000

                       MCMC iteration = 2315000

                       MCMC iteration = 2316000

                       MCMC iteration = 2317000

                       MCMC iteration = 2318000

                       MCMC iteration = 2319000

                       MCMC iteration = 2320000

                       MCMC iteration = 2321000

                       MCMC iteration = 2322000

                       MCMC iteration = 2323000

                       MCMC iteration = 2324000

                       MCMC iteration = 2325000

                       MCMC iteration = 2326000

                       MCMC iteration = 2327000

                       MCMC iteration = 2328000

                       MCMC iteration = 2329000

                       MCMC iteration = 2330000

                       MCMC iteration = 2331000

                       MCMC iteration = 2332000

                       MCMC iteration = 2333000

                       MCMC iteration = 2334000

                       MCMC iteration = 2335000

                       MCMC iteration = 2336000

                       MCMC iteration = 2337000

                       MCMC iteration = 2338000

                       MCMC iteration = 2339000

                       MCMC iteration = 2340000

                       MCMC iteration = 2341000

                       MCMC iteration = 2342000

                       MCMC iteration = 2343000

                       MCMC iteration = 2344000

                       MCMC iteration = 2345000

                       MCMC iteration = 2346000

                       MCMC iteration = 2347000

                       MCMC iteration = 2348000

                       MCMC iteration = 2349000

                       MCMC iteration = 2350000

                       MCMC iteration = 2351000

                       MCMC iteration = 2352000

                       MCMC iteration = 2353000

                       MCMC iteration = 2354000

                       MCMC iteration = 2355000

                       MCMC iteration = 2356000

                       MCMC iteration = 2357000

                       MCMC iteration = 2358000

                       MCMC iteration = 2359000

                       MCMC iteration = 2360000

                       MCMC iteration = 2361000

                       MCMC iteration = 2362000

                       MCMC iteration = 2363000

                       MCMC iteration = 2364000

                       MCMC iteration = 2365000

                       MCMC iteration = 2366000

                       MCMC iteration = 2367000

                       MCMC iteration = 2368000

                       MCMC iteration = 2369000

                       MCMC iteration = 2370000

                       MCMC iteration = 2371000

                       MCMC iteration = 2372000

                       MCMC iteration = 2373000

                       MCMC iteration = 2374000

                       MCMC iteration = 2375000

                       MCMC iteration = 2376000

                       MCMC iteration = 2377000

                       MCMC iteration = 2378000

                       MCMC iteration = 2379000

                       MCMC iteration = 2380000

                       MCMC iteration = 2381000

                       MCMC iteration = 2382000

                       MCMC iteration = 2383000

                       MCMC iteration = 2384000

                       MCMC iteration = 2385000

                       MCMC iteration = 2386000

                       MCMC iteration = 2387000

                       MCMC iteration = 2388000

                       MCMC iteration = 2389000

                       MCMC iteration = 2390000

                       MCMC iteration = 2391000

                       MCMC iteration = 2392000

                       MCMC iteration = 2393000

                       MCMC iteration = 2394000

                       MCMC iteration = 2395000

                       MCMC iteration = 2396000

                       MCMC iteration = 2397000

                       MCMC iteration = 2398000

                       MCMC iteration = 2399000

                       MCMC iteration = 2400000

                       MCMC iteration = 2401000

                       MCMC iteration = 2402000

                       MCMC iteration = 2403000

                       MCMC iteration = 2404000

                       MCMC iteration = 2405000

                       MCMC iteration = 2406000

                       MCMC iteration = 2407000

                       MCMC iteration = 2408000

                       MCMC iteration = 2409000

                       MCMC iteration = 2410000

                       MCMC iteration = 2411000

                       MCMC iteration = 2412000

                       MCMC iteration = 2413000

                       MCMC iteration = 2414000

                       MCMC iteration = 2415000

                       MCMC iteration = 2416000

                       MCMC iteration = 2417000

                       MCMC iteration = 2418000

                       MCMC iteration = 2419000

                       MCMC iteration = 2420000

                       MCMC iteration = 2421000

                       MCMC iteration = 2422000

                       MCMC iteration = 2423000

                       MCMC iteration = 2424000

                       MCMC iteration = 2425000

                       MCMC iteration = 2426000

                       MCMC iteration = 2427000

                       MCMC iteration = 2428000

                       MCMC iteration = 2429000

                       MCMC iteration = 2430000

                       MCMC iteration = 2431000

                       MCMC iteration = 2432000

                       MCMC iteration = 2433000

                       MCMC iteration = 2434000

                       MCMC iteration = 2435000

                       MCMC iteration = 2436000

                       MCMC iteration = 2437000

                       MCMC iteration = 2438000

                       MCMC iteration = 2439000

                       MCMC iteration = 2440000

                       MCMC iteration = 2441000

                       MCMC iteration = 2442000

                       MCMC iteration = 2443000

                       MCMC iteration = 2444000

                       MCMC iteration = 2445000

                       MCMC iteration = 2446000

                       MCMC iteration = 2447000

                       MCMC iteration = 2448000

                       MCMC iteration = 2449000

                       MCMC iteration = 2450000

                       MCMC iteration = 2451000

                       MCMC iteration = 2452000

                       MCMC iteration = 2453000

                       MCMC iteration = 2454000

                       MCMC iteration = 2455000

                       MCMC iteration = 2456000

                       MCMC iteration = 2457000

                       MCMC iteration = 2458000

                       MCMC iteration = 2459000

                       MCMC iteration = 2460000

                       MCMC iteration = 2461000

                       MCMC iteration = 2462000

                       MCMC iteration = 2463000

                       MCMC iteration = 2464000

                       MCMC iteration = 2465000

                       MCMC iteration = 2466000

                       MCMC iteration = 2467000

                       MCMC iteration = 2468000

                       MCMC iteration = 2469000

                       MCMC iteration = 2470000

                       MCMC iteration = 2471000

                       MCMC iteration = 2472000

                       MCMC iteration = 2473000

                       MCMC iteration = 2474000

                       MCMC iteration = 2475000

                       MCMC iteration = 2476000

                       MCMC iteration = 2477000

                       MCMC iteration = 2478000

                       MCMC iteration = 2479000

                       MCMC iteration = 2480000

                       MCMC iteration = 2481000

                       MCMC iteration = 2482000

                       MCMC iteration = 2483000

                       MCMC iteration = 2484000

                       MCMC iteration = 2485000

                       MCMC iteration = 2486000

                       MCMC iteration = 2487000

                       MCMC iteration = 2488000

                       MCMC iteration = 2489000

                       MCMC iteration = 2490000

                       MCMC iteration = 2491000

                       MCMC iteration = 2492000

                       MCMC iteration = 2493000

                       MCMC iteration = 2494000

                       MCMC iteration = 2495000

                       MCMC iteration = 2496000

                       MCMC iteration = 2497000

                       MCMC iteration = 2498000

                       MCMC iteration = 2499000

                       MCMC iteration = 2500000

                       MCMC iteration = 2501000

                       MCMC iteration = 2502000

                       MCMC iteration = 2503000

                       MCMC iteration = 2504000

                       MCMC iteration = 2505000

                       MCMC iteration = 2506000

                       MCMC iteration = 2507000

                       MCMC iteration = 2508000

                       MCMC iteration = 2509000

                       MCMC iteration = 2510000

                       MCMC iteration = 2511000

                       MCMC iteration = 2512000

                       MCMC iteration = 2513000

                       MCMC iteration = 2514000

                       MCMC iteration = 2515000

                       MCMC iteration = 2516000

                       MCMC iteration = 2517000

                       MCMC iteration = 2518000

                       MCMC iteration = 2519000

                       MCMC iteration = 2520000

                       MCMC iteration = 2521000

                       MCMC iteration = 2522000

                       MCMC iteration = 2523000

                       MCMC iteration = 2524000

                       MCMC iteration = 2525000

                       MCMC iteration = 2526000

                       MCMC iteration = 2527000

                       MCMC iteration = 2528000

                       MCMC iteration = 2529000

                       MCMC iteration = 2530000

                       MCMC iteration = 2531000

                       MCMC iteration = 2532000

                       MCMC iteration = 2533000

                       MCMC iteration = 2534000

                       MCMC iteration = 2535000

                       MCMC iteration = 2536000

                       MCMC iteration = 2537000

                       MCMC iteration = 2538000

                       MCMC iteration = 2539000

                       MCMC iteration = 2540000

                       MCMC iteration = 2541000

                       MCMC iteration = 2542000

                       MCMC iteration = 2543000

                       MCMC iteration = 2544000

                       MCMC iteration = 2545000

                       MCMC iteration = 2546000

                       MCMC iteration = 2547000

                       MCMC iteration = 2548000

                       MCMC iteration = 2549000

                       MCMC iteration = 2550000

                       MCMC iteration = 2551000

                       MCMC iteration = 2552000

                       MCMC iteration = 2553000

                       MCMC iteration = 2554000

                       MCMC iteration = 2555000

                       MCMC iteration = 2556000

                       MCMC iteration = 2557000

                       MCMC iteration = 2558000

                       MCMC iteration = 2559000

                       MCMC iteration = 2560000

                       MCMC iteration = 2561000

                       MCMC iteration = 2562000

                       MCMC iteration = 2563000

                       MCMC iteration = 2564000

                       MCMC iteration = 2565000

                       MCMC iteration = 2566000

                       MCMC iteration = 2567000

                       MCMC iteration = 2568000

                       MCMC iteration = 2569000

                       MCMC iteration = 2570000

                       MCMC iteration = 2571000

                       MCMC iteration = 2572000

                       MCMC iteration = 2573000

                       MCMC iteration = 2574000

                       MCMC iteration = 2575000

                       MCMC iteration = 2576000

                       MCMC iteration = 2577000

                       MCMC iteration = 2578000

                       MCMC iteration = 2579000

                       MCMC iteration = 2580000

                       MCMC iteration = 2581000

                       MCMC iteration = 2582000

                       MCMC iteration = 2583000

                       MCMC iteration = 2584000

                       MCMC iteration = 2585000

                       MCMC iteration = 2586000

                       MCMC iteration = 2587000

                       MCMC iteration = 2588000

                       MCMC iteration = 2589000

                       MCMC iteration = 2590000

                       MCMC iteration = 2591000

                       MCMC iteration = 2592000

                       MCMC iteration = 2593000

                       MCMC iteration = 2594000

                       MCMC iteration = 2595000

                       MCMC iteration = 2596000

                       MCMC iteration = 2597000

                       MCMC iteration = 2598000

                       MCMC iteration = 2599000

                       MCMC iteration = 2600000

                       MCMC iteration = 2601000

                       MCMC iteration = 2602000

                       MCMC iteration = 2603000

                       MCMC iteration = 2604000

                       MCMC iteration = 2605000

                       MCMC iteration = 2606000

                       MCMC iteration = 2607000

                       MCMC iteration = 2608000

                       MCMC iteration = 2609000

                       MCMC iteration = 2610000

                       MCMC iteration = 2611000

                       MCMC iteration = 2612000

                       MCMC iteration = 2613000

                       MCMC iteration = 2614000

                       MCMC iteration = 2615000

                       MCMC iteration = 2616000

                       MCMC iteration = 2617000

                       MCMC iteration = 2618000

                       MCMC iteration = 2619000

                       MCMC iteration = 2620000

                       MCMC iteration = 2621000

                       MCMC iteration = 2622000

                       MCMC iteration = 2623000

                       MCMC iteration = 2624000

                       MCMC iteration = 2625000

                       MCMC iteration = 2626000

                       MCMC iteration = 2627000

                       MCMC iteration = 2628000

                       MCMC iteration = 2629000

                       MCMC iteration = 2630000

                       MCMC iteration = 2631000

                       MCMC iteration = 2632000

                       MCMC iteration = 2633000

                       MCMC iteration = 2634000

                       MCMC iteration = 2635000

                       MCMC iteration = 2636000

                       MCMC iteration = 2637000

                       MCMC iteration = 2638000

                       MCMC iteration = 2639000

                       MCMC iteration = 2640000

                       MCMC iteration = 2641000

                       MCMC iteration = 2642000

                       MCMC iteration = 2643000

                       MCMC iteration = 2644000

                       MCMC iteration = 2645000

                       MCMC iteration = 2646000

                       MCMC iteration = 2647000

                       MCMC iteration = 2648000

                       MCMC iteration = 2649000

                       MCMC iteration = 2650000

                       MCMC iteration = 2651000

                       MCMC iteration = 2652000

                       MCMC iteration = 2653000

                       MCMC iteration = 2654000

                       MCMC iteration = 2655000

                       MCMC iteration = 2656000

                       MCMC iteration = 2657000

                       MCMC iteration = 2658000

                       MCMC iteration = 2659000

                       MCMC iteration = 2660000

                       MCMC iteration = 2661000

                       MCMC iteration = 2662000

                       MCMC iteration = 2663000

                       MCMC iteration = 2664000

                       MCMC iteration = 2665000

                       MCMC iteration = 2666000

                       MCMC iteration = 2667000

                       MCMC iteration = 2668000

                       MCMC iteration = 2669000

                       MCMC iteration = 2670000

                       MCMC iteration = 2671000

                       MCMC iteration = 2672000

                       MCMC iteration = 2673000

                       MCMC iteration = 2674000

                       MCMC iteration = 2675000

                       MCMC iteration = 2676000

                       MCMC iteration = 2677000

                       MCMC iteration = 2678000

                       MCMC iteration = 2679000

                       MCMC iteration = 2680000

                       MCMC iteration = 2681000

                       MCMC iteration = 2682000

                       MCMC iteration = 2683000

                       MCMC iteration = 2684000

                       MCMC iteration = 2685000

                       MCMC iteration = 2686000

                       MCMC iteration = 2687000

                       MCMC iteration = 2688000

                       MCMC iteration = 2689000

                       MCMC iteration = 2690000

                       MCMC iteration = 2691000

                       MCMC iteration = 2692000

                       MCMC iteration = 2693000

                       MCMC iteration = 2694000

                       MCMC iteration = 2695000

                       MCMC iteration = 2696000

                       MCMC iteration = 2697000

                       MCMC iteration = 2698000

                       MCMC iteration = 2699000

                       MCMC iteration = 2700000

                       MCMC iteration = 2701000

                       MCMC iteration = 2702000

                       MCMC iteration = 2703000

                       MCMC iteration = 2704000

                       MCMC iteration = 2705000

                       MCMC iteration = 2706000

                       MCMC iteration = 2707000

                       MCMC iteration = 2708000

                       MCMC iteration = 2709000

                       MCMC iteration = 2710000

                       MCMC iteration = 2711000

                       MCMC iteration = 2712000

                       MCMC iteration = 2713000

                       MCMC iteration = 2714000

                       MCMC iteration = 2715000

                       MCMC iteration = 2716000

                       MCMC iteration = 2717000

                       MCMC iteration = 2718000

                       MCMC iteration = 2719000

                       MCMC iteration = 2720000

                       MCMC iteration = 2721000

                       MCMC iteration = 2722000

                       MCMC iteration = 2723000

                       MCMC iteration = 2724000

                       MCMC iteration = 2725000

                       MCMC iteration = 2726000

                       MCMC iteration = 2727000

                       MCMC iteration = 2728000

                       MCMC iteration = 2729000

                       MCMC iteration = 2730000

                       MCMC iteration = 2731000

                       MCMC iteration = 2732000

                       MCMC iteration = 2733000

                       MCMC iteration = 2734000

                       MCMC iteration = 2735000

                       MCMC iteration = 2736000

                       MCMC iteration = 2737000

                       MCMC iteration = 2738000

                       MCMC iteration = 2739000

                       MCMC iteration = 2740000

                       MCMC iteration = 2741000

                       MCMC iteration = 2742000

                       MCMC iteration = 2743000

                       MCMC iteration = 2744000

                       MCMC iteration = 2745000

                       MCMC iteration = 2746000

                       MCMC iteration = 2747000

                       MCMC iteration = 2748000

                       MCMC iteration = 2749000

                       MCMC iteration = 2750000

                       MCMC iteration = 2751000

                       MCMC iteration = 2752000

                       MCMC iteration = 2753000

                       MCMC iteration = 2754000

                       MCMC iteration = 2755000

                       MCMC iteration = 2756000

                       MCMC iteration = 2757000

                       MCMC iteration = 2758000

                       MCMC iteration = 2759000

                       MCMC iteration = 2760000

                       MCMC iteration = 2761000

                       MCMC iteration = 2762000

                       MCMC iteration = 2763000

                       MCMC iteration = 2764000

                       MCMC iteration = 2765000

                       MCMC iteration = 2766000

                       MCMC iteration = 2767000

                       MCMC iteration = 2768000

                       MCMC iteration = 2769000

                       MCMC iteration = 2770000

                       MCMC iteration = 2771000

                       MCMC iteration = 2772000

                       MCMC iteration = 2773000

                       MCMC iteration = 2774000

                       MCMC iteration = 2775000

                       MCMC iteration = 2776000

                       MCMC iteration = 2777000

                       MCMC iteration = 2778000

                       MCMC iteration = 2779000

                       MCMC iteration = 2780000

                       MCMC iteration = 2781000

                       MCMC iteration = 2782000

                       MCMC iteration = 2783000

                       MCMC iteration = 2784000

                       MCMC iteration = 2785000

                       MCMC iteration = 2786000

                       MCMC iteration = 2787000

                       MCMC iteration = 2788000

                       MCMC iteration = 2789000

                       MCMC iteration = 2790000

                       MCMC iteration = 2791000

                       MCMC iteration = 2792000

                       MCMC iteration = 2793000

                       MCMC iteration = 2794000

                       MCMC iteration = 2795000

                       MCMC iteration = 2796000

                       MCMC iteration = 2797000

                       MCMC iteration = 2798000

                       MCMC iteration = 2799000

                       MCMC iteration = 2800000

                       MCMC iteration = 2801000

                       MCMC iteration = 2802000

                       MCMC iteration = 2803000

                       MCMC iteration = 2804000

                       MCMC iteration = 2805000

                       MCMC iteration = 2806000

                       MCMC iteration = 2807000

                       MCMC iteration = 2808000

                       MCMC iteration = 2809000

                       MCMC iteration = 2810000

                       MCMC iteration = 2811000

                       MCMC iteration = 2812000

                       MCMC iteration = 2813000

                       MCMC iteration = 2814000

                       MCMC iteration = 2815000

                       MCMC iteration = 2816000

                       MCMC iteration = 2817000

                       MCMC iteration = 2818000

                       MCMC iteration = 2819000

                       MCMC iteration = 2820000

                       MCMC iteration = 2821000

                       MCMC iteration = 2822000

                       MCMC iteration = 2823000

                       MCMC iteration = 2824000

                       MCMC iteration = 2825000

                       MCMC iteration = 2826000

                       MCMC iteration = 2827000

                       MCMC iteration = 2828000

                       MCMC iteration = 2829000

                       MCMC iteration = 2830000

                       MCMC iteration = 2831000

                       MCMC iteration = 2832000

                       MCMC iteration = 2833000

                       MCMC iteration = 2834000

                       MCMC iteration = 2835000

                       MCMC iteration = 2836000

                       MCMC iteration = 2837000

                       MCMC iteration = 2838000

                       MCMC iteration = 2839000

                       MCMC iteration = 2840000

                       MCMC iteration = 2841000

                       MCMC iteration = 2842000

                       MCMC iteration = 2843000

                       MCMC iteration = 2844000

                       MCMC iteration = 2845000

                       MCMC iteration = 2846000

                       MCMC iteration = 2847000

                       MCMC iteration = 2848000

                       MCMC iteration = 2849000

                       MCMC iteration = 2850000

                       MCMC iteration = 2851000

                       MCMC iteration = 2852000

                       MCMC iteration = 2853000

                       MCMC iteration = 2854000

                       MCMC iteration = 2855000

                       MCMC iteration = 2856000

                       MCMC iteration = 2857000

                       MCMC iteration = 2858000

                       MCMC iteration = 2859000

                       MCMC iteration = 2860000

                       MCMC iteration = 2861000

                       MCMC iteration = 2862000

                       MCMC iteration = 2863000

                       MCMC iteration = 2864000

                       MCMC iteration = 2865000

                       MCMC iteration = 2866000

                       MCMC iteration = 2867000

                       MCMC iteration = 2868000

                       MCMC iteration = 2869000

                       MCMC iteration = 2870000

                       MCMC iteration = 2871000

                       MCMC iteration = 2872000

                       MCMC iteration = 2873000

                       MCMC iteration = 2874000

                       MCMC iteration = 2875000

                       MCMC iteration = 2876000

                       MCMC iteration = 2877000

                       MCMC iteration = 2878000

                       MCMC iteration = 2879000

                       MCMC iteration = 2880000

                       MCMC iteration = 2881000

                       MCMC iteration = 2882000

                       MCMC iteration = 2883000

                       MCMC iteration = 2884000

                       MCMC iteration = 2885000

                       MCMC iteration = 2886000

                       MCMC iteration = 2887000

                       MCMC iteration = 2888000

                       MCMC iteration = 2889000

                       MCMC iteration = 2890000

                       MCMC iteration = 2891000

                       MCMC iteration = 2892000

                       MCMC iteration = 2893000

                       MCMC iteration = 2894000

                       MCMC iteration = 2895000

                       MCMC iteration = 2896000

                       MCMC iteration = 2897000

                       MCMC iteration = 2898000

                       MCMC iteration = 2899000

                       MCMC iteration = 2900000

                       MCMC iteration = 2901000

                       MCMC iteration = 2902000

                       MCMC iteration = 2903000

                       MCMC iteration = 2904000

                       MCMC iteration = 2905000

                       MCMC iteration = 2906000

                       MCMC iteration = 2907000

                       MCMC iteration = 2908000

                       MCMC iteration = 2909000

                       MCMC iteration = 2910000

                       MCMC iteration = 2911000

                       MCMC iteration = 2912000

                       MCMC iteration = 2913000

                       MCMC iteration = 2914000

                       MCMC iteration = 2915000

                       MCMC iteration = 2916000

                       MCMC iteration = 2917000

                       MCMC iteration = 2918000

                       MCMC iteration = 2919000

                       MCMC iteration = 2920000

                       MCMC iteration = 2921000

                       MCMC iteration = 2922000

                       MCMC iteration = 2923000

                       MCMC iteration = 2924000

                       MCMC iteration = 2925000

                       MCMC iteration = 2926000

                       MCMC iteration = 2927000

                       MCMC iteration = 2928000

                       MCMC iteration = 2929000

                       MCMC iteration = 2930000

                       MCMC iteration = 2931000

                       MCMC iteration = 2932000

                       MCMC iteration = 2933000

                       MCMC iteration = 2934000

                       MCMC iteration = 2935000

                       MCMC iteration = 2936000

                       MCMC iteration = 2937000

                       MCMC iteration = 2938000

                       MCMC iteration = 2939000

                       MCMC iteration = 2940000

                       MCMC iteration = 2941000

                       MCMC iteration = 2942000

                       MCMC iteration = 2943000

                       MCMC iteration = 2944000

                       MCMC iteration = 2945000

                       MCMC iteration = 2946000

                       MCMC iteration = 2947000

                       MCMC iteration = 2948000

                       MCMC iteration = 2949000

                       MCMC iteration = 2950000

                       MCMC iteration = 2951000

                       MCMC iteration = 2952000

                       MCMC iteration = 2953000

                       MCMC iteration = 2954000

                       MCMC iteration = 2955000

                       MCMC iteration = 2956000

                       MCMC iteration = 2957000

                       MCMC iteration = 2958000

                       MCMC iteration = 2959000

                       MCMC iteration = 2960000

                       MCMC iteration = 2961000

                       MCMC iteration = 2962000

                       MCMC iteration = 2963000

                       MCMC iteration = 2964000

                       MCMC iteration = 2965000

                       MCMC iteration = 2966000

                       MCMC iteration = 2967000

                       MCMC iteration = 2968000

                       MCMC iteration = 2969000

                       MCMC iteration = 2970000

                       MCMC iteration = 2971000

                       MCMC iteration = 2972000

                       MCMC iteration = 2973000

                       MCMC iteration = 2974000

                       MCMC iteration = 2975000

                       MCMC iteration = 2976000

                       MCMC iteration = 2977000

                       MCMC iteration = 2978000

                       MCMC iteration = 2979000

                       MCMC iteration = 2980000

                       MCMC iteration = 2981000

                       MCMC iteration = 2982000

                       MCMC iteration = 2983000

                       MCMC iteration = 2984000

                       MCMC iteration = 2985000

                       MCMC iteration = 2986000

                       MCMC iteration = 2987000

                       MCMC iteration = 2988000

                       MCMC iteration = 2989000

                       MCMC iteration = 2990000

                       MCMC iteration = 2991000

                       MCMC iteration = 2992000

                       MCMC iteration = 2993000

                       MCMC iteration = 2994000

                       MCMC iteration = 2995000

                       MCMC iteration = 2996000

                       MCMC iteration = 2997000

                       MCMC iteration = 2998000

                       MCMC iteration = 2999000

                       MCMC iteration = 3000000

                       MCMC iteration = 3001000

                       MCMC iteration = 3002000

                       MCMC iteration = 3003000

                       MCMC iteration = 3004000

                       MCMC iteration = 3005000

                       MCMC iteration = 3006000

                       MCMC iteration = 3007000

                       MCMC iteration = 3008000

                       MCMC iteration = 3009000

                       MCMC iteration = 3010000

                       MCMC iteration = 3011000

                       MCMC iteration = 3012000

                       MCMC iteration = 3013000

                       MCMC iteration = 3014000

                       MCMC iteration = 3015000

                       MCMC iteration = 3016000

                       MCMC iteration = 3017000

                       MCMC iteration = 3018000

                       MCMC iteration = 3019000

                       MCMC iteration = 3020000

                       MCMC iteration = 3021000

                       MCMC iteration = 3022000

                       MCMC iteration = 3023000

                       MCMC iteration = 3024000

                       MCMC iteration = 3025000

                       MCMC iteration = 3026000

                       MCMC iteration = 3027000

                       MCMC iteration = 3028000

                       MCMC iteration = 3029000

                       MCMC iteration = 3030000

                       MCMC iteration = 3031000

                       MCMC iteration = 3032000

                       MCMC iteration = 3033000

                       MCMC iteration = 3034000

                       MCMC iteration = 3035000

                       MCMC iteration = 3036000

                       MCMC iteration = 3037000

                       MCMC iteration = 3038000

                       MCMC iteration = 3039000

                       MCMC iteration = 3040000

                       MCMC iteration = 3041000

                       MCMC iteration = 3042000

                       MCMC iteration = 3043000

                       MCMC iteration = 3044000

                       MCMC iteration = 3045000

                       MCMC iteration = 3046000

                       MCMC iteration = 3047000

                       MCMC iteration = 3048000

                       MCMC iteration = 3049000

                       MCMC iteration = 3050000

                       MCMC iteration = 3051000

                       MCMC iteration = 3052000

                       MCMC iteration = 3053000

                       MCMC iteration = 3054000

                       MCMC iteration = 3055000

                       MCMC iteration = 3056000

                       MCMC iteration = 3057000

                       MCMC iteration = 3058000

                       MCMC iteration = 3059000

                       MCMC iteration = 3060000

                       MCMC iteration = 3061000

                       MCMC iteration = 3062000

                       MCMC iteration = 3063000

                       MCMC iteration = 3064000

                       MCMC iteration = 3065000

                       MCMC iteration = 3066000

                       MCMC iteration = 3067000

                       MCMC iteration = 3068000

                       MCMC iteration = 3069000

                       MCMC iteration = 3070000

                       MCMC iteration = 3071000

                       MCMC iteration = 3072000

                       MCMC iteration = 3073000

                       MCMC iteration = 3074000

                       MCMC iteration = 3075000

                       MCMC iteration = 3076000

                       MCMC iteration = 3077000

                       MCMC iteration = 3078000

                       MCMC iteration = 3079000

                       MCMC iteration = 3080000

                       MCMC iteration = 3081000

                       MCMC iteration = 3082000

                       MCMC iteration = 3083000

                       MCMC iteration = 3084000

                       MCMC iteration = 3085000

                       MCMC iteration = 3086000

                       MCMC iteration = 3087000

                       MCMC iteration = 3088000

                       MCMC iteration = 3089000

                       MCMC iteration = 3090000

                       MCMC iteration = 3091000

                       MCMC iteration = 3092000

                       MCMC iteration = 3093000

                       MCMC iteration = 3094000

                       MCMC iteration = 3095000

                       MCMC iteration = 3096000

                       MCMC iteration = 3097000

                       MCMC iteration = 3098000

                       MCMC iteration = 3099000

                       MCMC iteration = 3100000

                       MCMC iteration = 3101000

                       MCMC iteration = 3102000

                       MCMC iteration = 3103000

                       MCMC iteration = 3104000

                       MCMC iteration = 3105000

                       MCMC iteration = 3106000

                       MCMC iteration = 3107000

                       MCMC iteration = 3108000

                       MCMC iteration = 3109000

                       MCMC iteration = 3110000

                       MCMC iteration = 3111000

                       MCMC iteration = 3112000

                       MCMC iteration = 3113000

                       MCMC iteration = 3114000

                       MCMC iteration = 3115000

                       MCMC iteration = 3116000

                       MCMC iteration = 3117000

                       MCMC iteration = 3118000

                       MCMC iteration = 3119000

                       MCMC iteration = 3120000

                       MCMC iteration = 3121000

                       MCMC iteration = 3122000

                       MCMC iteration = 3123000

                       MCMC iteration = 3124000

                       MCMC iteration = 3125000

                       MCMC iteration = 3126000

                       MCMC iteration = 3127000

                       MCMC iteration = 3128000

                       MCMC iteration = 3129000

                       MCMC iteration = 3130000

                       MCMC iteration = 3131000

                       MCMC iteration = 3132000

                       MCMC iteration = 3133000

                       MCMC iteration = 3134000

                       MCMC iteration = 3135000

                       MCMC iteration = 3136000

                       MCMC iteration = 3137000

                       MCMC iteration = 3138000

                       MCMC iteration = 3139000

                       MCMC iteration = 3140000

                       MCMC iteration = 3141000

                       MCMC iteration = 3142000

                       MCMC iteration = 3143000

                       MCMC iteration = 3144000

                       MCMC iteration = 3145000

                       MCMC iteration = 3146000

                       MCMC iteration = 3147000

                       MCMC iteration = 3148000

                       MCMC iteration = 3149000

                       MCMC iteration = 3150000

                       MCMC iteration = 3151000

                       MCMC iteration = 3152000

                       MCMC iteration = 3153000

                       MCMC iteration = 3154000

                       MCMC iteration = 3155000

                       MCMC iteration = 3156000

                       MCMC iteration = 3157000

                       MCMC iteration = 3158000

                       MCMC iteration = 3159000

                       MCMC iteration = 3160000

                       MCMC iteration = 3161000

                       MCMC iteration = 3162000

                       MCMC iteration = 3163000

                       MCMC iteration = 3164000

                       MCMC iteration = 3165000

                       MCMC iteration = 3166000

                       MCMC iteration = 3167000

                       MCMC iteration = 3168000

                       MCMC iteration = 3169000

                       MCMC iteration = 3170000

                       MCMC iteration = 3171000

                       MCMC iteration = 3172000

                       MCMC iteration = 3173000

                       MCMC iteration = 3174000

                       MCMC iteration = 3175000

                       MCMC iteration = 3176000

                       MCMC iteration = 3177000

                       MCMC iteration = 3178000

                       MCMC iteration = 3179000

                       MCMC iteration = 3180000

                       MCMC iteration = 3181000

                       MCMC iteration = 3182000

                       MCMC iteration = 3183000

                       MCMC iteration = 3184000

                       MCMC iteration = 3185000

                       MCMC iteration = 3186000

                       MCMC iteration = 3187000

                       MCMC iteration = 3188000

                       MCMC iteration = 3189000

                       MCMC iteration = 3190000

                       MCMC iteration = 3191000

                       MCMC iteration = 3192000

                       MCMC iteration = 3193000

                       MCMC iteration = 3194000

                       MCMC iteration = 3195000

                       MCMC iteration = 3196000

                       MCMC iteration = 3197000

                       MCMC iteration = 3198000

                       MCMC iteration = 3199000

                       MCMC iteration = 3200000

                       MCMC iteration = 3201000

                       MCMC iteration = 3202000

                       MCMC iteration = 3203000

                       MCMC iteration = 3204000

                       MCMC iteration = 3205000

                       MCMC iteration = 3206000

                       MCMC iteration = 3207000

                       MCMC iteration = 3208000

                       MCMC iteration = 3209000

                       MCMC iteration = 3210000

                       MCMC iteration = 3211000

                       MCMC iteration = 3212000

                       MCMC iteration = 3213000

                       MCMC iteration = 3214000

                       MCMC iteration = 3215000

                       MCMC iteration = 3216000

                       MCMC iteration = 3217000

                       MCMC iteration = 3218000

                       MCMC iteration = 3219000

                       MCMC iteration = 3220000

                       MCMC iteration = 3221000

                       MCMC iteration = 3222000

                       MCMC iteration = 3223000

                       MCMC iteration = 3224000

                       MCMC iteration = 3225000

                       MCMC iteration = 3226000

                       MCMC iteration = 3227000

                       MCMC iteration = 3228000

                       MCMC iteration = 3229000

                       MCMC iteration = 3230000

                       MCMC iteration = 3231000

                       MCMC iteration = 3232000

                       MCMC iteration = 3233000

                       MCMC iteration = 3234000

                       MCMC iteration = 3235000

                       MCMC iteration = 3236000

                       MCMC iteration = 3237000

                       MCMC iteration = 3238000

                       MCMC iteration = 3239000

                       MCMC iteration = 3240000

                       MCMC iteration = 3241000

                       MCMC iteration = 3242000

                       MCMC iteration = 3243000

                       MCMC iteration = 3244000

                       MCMC iteration = 3245000

                       MCMC iteration = 3246000

                       MCMC iteration = 3247000

                       MCMC iteration = 3248000

                       MCMC iteration = 3249000

                       MCMC iteration = 3250000

                       MCMC iteration = 3251000

                       MCMC iteration = 3252000

                       MCMC iteration = 3253000

                       MCMC iteration = 3254000

                       MCMC iteration = 3255000

                       MCMC iteration = 3256000

                       MCMC iteration = 3257000

                       MCMC iteration = 3258000

                       MCMC iteration = 3259000

                       MCMC iteration = 3260000

                       MCMC iteration = 3261000

                       MCMC iteration = 3262000

                       MCMC iteration = 3263000

                       MCMC iteration = 3264000

                       MCMC iteration = 3265000

                       MCMC iteration = 3266000

                       MCMC iteration = 3267000

                       MCMC iteration = 3268000

                       MCMC iteration = 3269000

                       MCMC iteration = 3270000

                       MCMC iteration = 3271000

                       MCMC iteration = 3272000

                       MCMC iteration = 3273000

                       MCMC iteration = 3274000

                       MCMC iteration = 3275000

                       MCMC iteration = 3276000

                       MCMC iteration = 3277000

                       MCMC iteration = 3278000

                       MCMC iteration = 3279000

                       MCMC iteration = 3280000

                       MCMC iteration = 3281000

                       MCMC iteration = 3282000

                       MCMC iteration = 3283000

                       MCMC iteration = 3284000

                       MCMC iteration = 3285000

                       MCMC iteration = 3286000

                       MCMC iteration = 3287000

                       MCMC iteration = 3288000

                       MCMC iteration = 3289000

                       MCMC iteration = 3290000

                       MCMC iteration = 3291000

                       MCMC iteration = 3292000

                       MCMC iteration = 3293000

                       MCMC iteration = 3294000

                       MCMC iteration = 3295000

                       MCMC iteration = 3296000

                       MCMC iteration = 3297000

                       MCMC iteration = 3298000

                       MCMC iteration = 3299000

                       MCMC iteration = 3300000

                       MCMC iteration = 3301000

                       MCMC iteration = 3302000

                       MCMC iteration = 3303000

                       MCMC iteration = 3304000

                       MCMC iteration = 3305000

                       MCMC iteration = 3306000

                       MCMC iteration = 3307000

                       MCMC iteration = 3308000

                       MCMC iteration = 3309000

                       MCMC iteration = 3310000

                       MCMC iteration = 3311000

                       MCMC iteration = 3312000

                       MCMC iteration = 3313000

                       MCMC iteration = 3314000

                       MCMC iteration = 3315000

                       MCMC iteration = 3316000

                       MCMC iteration = 3317000

                       MCMC iteration = 3318000

                       MCMC iteration = 3319000

                       MCMC iteration = 3320000

                       MCMC iteration = 3321000

                       MCMC iteration = 3322000

                       MCMC iteration = 3323000

                       MCMC iteration = 3324000

                       MCMC iteration = 3325000

                       MCMC iteration = 3326000

                       MCMC iteration = 3327000

                       MCMC iteration = 3328000

                       MCMC iteration = 3329000

                       MCMC iteration = 3330000

                       MCMC iteration = 3331000

                       MCMC iteration = 3332000

                       MCMC iteration = 3333000

                       MCMC iteration = 3334000

                       MCMC iteration = 3335000

                       MCMC iteration = 3336000

                       MCMC iteration = 3337000

                       MCMC iteration = 3338000

                       MCMC iteration = 3339000

                       MCMC iteration = 3340000

                       MCMC iteration = 3341000

                       MCMC iteration = 3342000

                       MCMC iteration = 3343000

                       MCMC iteration = 3344000

                       MCMC iteration = 3345000

                       MCMC iteration = 3346000

                       MCMC iteration = 3347000

                       MCMC iteration = 3348000

                       MCMC iteration = 3349000

                       MCMC iteration = 3350000

                       MCMC iteration = 3351000

                       MCMC iteration = 3352000

                       MCMC iteration = 3353000

                       MCMC iteration = 3354000

                       MCMC iteration = 3355000

                       MCMC iteration = 3356000

                       MCMC iteration = 3357000

                       MCMC iteration = 3358000

                       MCMC iteration = 3359000

                       MCMC iteration = 3360000

                       MCMC iteration = 3361000

                       MCMC iteration = 3362000

                       MCMC iteration = 3363000

                       MCMC iteration = 3364000

                       MCMC iteration = 3365000

                       MCMC iteration = 3366000

                       MCMC iteration = 3367000

                       MCMC iteration = 3368000

                       MCMC iteration = 3369000

                       MCMC iteration = 3370000

                       MCMC iteration = 3371000

                       MCMC iteration = 3372000

                       MCMC iteration = 3373000

                       MCMC iteration = 3374000

                       MCMC iteration = 3375000

                       MCMC iteration = 3376000

                       MCMC iteration = 3377000

                       MCMC iteration = 3378000

                       MCMC iteration = 3379000

                       MCMC iteration = 3380000

                       MCMC iteration = 3381000

                       MCMC iteration = 3382000

                       MCMC iteration = 3383000

                       MCMC iteration = 3384000

                       MCMC iteration = 3385000

                       MCMC iteration = 3386000

                       MCMC iteration = 3387000

                       MCMC iteration = 3388000

                       MCMC iteration = 3389000

                       MCMC iteration = 3390000

                       MCMC iteration = 3391000

                       MCMC iteration = 3392000

                       MCMC iteration = 3393000

                       MCMC iteration = 3394000

                       MCMC iteration = 3395000

                       MCMC iteration = 3396000

                       MCMC iteration = 3397000

                       MCMC iteration = 3398000

                       MCMC iteration = 3399000

                       MCMC iteration = 3400000

                       MCMC iteration = 3401000

                       MCMC iteration = 3402000

                       MCMC iteration = 3403000

                       MCMC iteration = 3404000

                       MCMC iteration = 3405000

                       MCMC iteration = 3406000

                       MCMC iteration = 3407000

                       MCMC iteration = 3408000

                       MCMC iteration = 3409000

                       MCMC iteration = 3410000

                       MCMC iteration = 3411000

                       MCMC iteration = 3412000

                       MCMC iteration = 3413000

                       MCMC iteration = 3414000

                       MCMC iteration = 3415000

                       MCMC iteration = 3416000

                       MCMC iteration = 3417000

                       MCMC iteration = 3418000

                       MCMC iteration = 3419000

                       MCMC iteration = 3420000

                       MCMC iteration = 3421000

                       MCMC iteration = 3422000

                       MCMC iteration = 3423000

                       MCMC iteration = 3424000

                       MCMC iteration = 3425000

                       MCMC iteration = 3426000

                       MCMC iteration = 3427000

                       MCMC iteration = 3428000

                       MCMC iteration = 3429000

                       MCMC iteration = 3430000

                       MCMC iteration = 3431000

                       MCMC iteration = 3432000

                       MCMC iteration = 3433000

                       MCMC iteration = 3434000

                       MCMC iteration = 3435000

                       MCMC iteration = 3436000

                       MCMC iteration = 3437000

                       MCMC iteration = 3438000

                       MCMC iteration = 3439000

                       MCMC iteration = 3440000

                       MCMC iteration = 3441000

                       MCMC iteration = 3442000

                       MCMC iteration = 3443000

                       MCMC iteration = 3444000

                       MCMC iteration = 3445000

                       MCMC iteration = 3446000

                       MCMC iteration = 3447000

                       MCMC iteration = 3448000

                       MCMC iteration = 3449000

                       MCMC iteration = 3450000

                       MCMC iteration = 3451000

                       MCMC iteration = 3452000

                       MCMC iteration = 3453000

                       MCMC iteration = 3454000

                       MCMC iteration = 3455000

                       MCMC iteration = 3456000

                       MCMC iteration = 3457000

                       MCMC iteration = 3458000

                       MCMC iteration = 3459000

                       MCMC iteration = 3460000

                       MCMC iteration = 3461000

                       MCMC iteration = 3462000

                       MCMC iteration = 3463000

                       MCMC iteration = 3464000

                       MCMC iteration = 3465000

                       MCMC iteration = 3466000

                       MCMC iteration = 3467000

                       MCMC iteration = 3468000

                       MCMC iteration = 3469000

                       MCMC iteration = 3470000

                       MCMC iteration = 3471000

                       MCMC iteration = 3472000

                       MCMC iteration = 3473000

                       MCMC iteration = 3474000

                       MCMC iteration = 3475000

                       MCMC iteration = 3476000

                       MCMC iteration = 3477000

                       MCMC iteration = 3478000

                       MCMC iteration = 3479000

                       MCMC iteration = 3480000

                       MCMC iteration = 3481000

                       MCMC iteration = 3482000

                       MCMC iteration = 3483000

                       MCMC iteration = 3484000

                       MCMC iteration = 3485000

                       MCMC iteration = 3486000

                       MCMC iteration = 3487000

                       MCMC iteration = 3488000

                       MCMC iteration = 3489000

                       MCMC iteration = 3490000

                       MCMC iteration = 3491000

                       MCMC iteration = 3492000

                       MCMC iteration = 3493000

                       MCMC iteration = 3494000

                       MCMC iteration = 3495000

                       MCMC iteration = 3496000

                       MCMC iteration = 3497000

                       MCMC iteration = 3498000

                       MCMC iteration = 3499000

                       MCMC iteration = 3500000

                       MCMC iteration = 3501000

                       MCMC iteration = 3502000

                       MCMC iteration = 3503000

                       MCMC iteration = 3504000

                       MCMC iteration = 3505000

                       MCMC iteration = 3506000

                       MCMC iteration = 3507000

                       MCMC iteration = 3508000

                       MCMC iteration = 3509000

                       MCMC iteration = 3510000

                       MCMC iteration = 3511000

                       MCMC iteration = 3512000

                       MCMC iteration = 3513000

                       MCMC iteration = 3514000

                       MCMC iteration = 3515000

                       MCMC iteration = 3516000

                       MCMC iteration = 3517000

                       MCMC iteration = 3518000

                       MCMC iteration = 3519000

                       MCMC iteration = 3520000

                       MCMC iteration = 3521000

                       MCMC iteration = 3522000

                       MCMC iteration = 3523000

                       MCMC iteration = 3524000

                       MCMC iteration = 3525000

                       MCMC iteration = 3526000

                       MCMC iteration = 3527000

                       MCMC iteration = 3528000

                       MCMC iteration = 3529000

                       MCMC iteration = 3530000

                       MCMC iteration = 3531000

                       MCMC iteration = 3532000

                       MCMC iteration = 3533000

                       MCMC iteration = 3534000

                       MCMC iteration = 3535000

                       MCMC iteration = 3536000

                       MCMC iteration = 3537000

                       MCMC iteration = 3538000

                       MCMC iteration = 3539000

                       MCMC iteration = 3540000

                       MCMC iteration = 3541000

                       MCMC iteration = 3542000

                       MCMC iteration = 3543000

                       MCMC iteration = 3544000

                       MCMC iteration = 3545000

                       MCMC iteration = 3546000

                       MCMC iteration = 3547000

                       MCMC iteration = 3548000

                       MCMC iteration = 3549000

                       MCMC iteration = 3550000

                       MCMC iteration = 3551000

                       MCMC iteration = 3552000

                       MCMC iteration = 3553000

                       MCMC iteration = 3554000

                       MCMC iteration = 3555000

                       MCMC iteration = 3556000

                       MCMC iteration = 3557000

                       MCMC iteration = 3558000

                       MCMC iteration = 3559000

                       MCMC iteration = 3560000

                       MCMC iteration = 3561000

                       MCMC iteration = 3562000

                       MCMC iteration = 3563000

                       MCMC iteration = 3564000

                       MCMC iteration = 3565000

                       MCMC iteration = 3566000

                       MCMC iteration = 3567000

                       MCMC iteration = 3568000

                       MCMC iteration = 3569000

                       MCMC iteration = 3570000

                       MCMC iteration = 3571000

                       MCMC iteration = 3572000

                       MCMC iteration = 3573000

                       MCMC iteration = 3574000

                       MCMC iteration = 3575000

                       MCMC iteration = 3576000

                       MCMC iteration = 3577000

                       MCMC iteration = 3578000

                       MCMC iteration = 3579000

                       MCMC iteration = 3580000

                       MCMC iteration = 3581000

                       MCMC iteration = 3582000

                       MCMC iteration = 3583000

                       MCMC iteration = 3584000

                       MCMC iteration = 3585000

                       MCMC iteration = 3586000

                       MCMC iteration = 3587000

                       MCMC iteration = 3588000

                       MCMC iteration = 3589000

                       MCMC iteration = 3590000

                       MCMC iteration = 3591000

                       MCMC iteration = 3592000

                       MCMC iteration = 3593000

                       MCMC iteration = 3594000

                       MCMC iteration = 3595000

                       MCMC iteration = 3596000

                       MCMC iteration = 3597000

                       MCMC iteration = 3598000

                       MCMC iteration = 3599000

                       MCMC iteration = 3600000

                       MCMC iteration = 3601000

                       MCMC iteration = 3602000

                       MCMC iteration = 3603000

                       MCMC iteration = 3604000

                       MCMC iteration = 3605000

                       MCMC iteration = 3606000

                       MCMC iteration = 3607000

                       MCMC iteration = 3608000

                       MCMC iteration = 3609000

                       MCMC iteration = 3610000

                       MCMC iteration = 3611000

                       MCMC iteration = 3612000

                       MCMC iteration = 3613000

                       MCMC iteration = 3614000

                       MCMC iteration = 3615000

                       MCMC iteration = 3616000

                       MCMC iteration = 3617000

                       MCMC iteration = 3618000

                       MCMC iteration = 3619000

                       MCMC iteration = 3620000

                       MCMC iteration = 3621000

                       MCMC iteration = 3622000

                       MCMC iteration = 3623000

                       MCMC iteration = 3624000

                       MCMC iteration = 3625000

                       MCMC iteration = 3626000

                       MCMC iteration = 3627000

                       MCMC iteration = 3628000

                       MCMC iteration = 3629000

                       MCMC iteration = 3630000

                       MCMC iteration = 3631000

                       MCMC iteration = 3632000

                       MCMC iteration = 3633000

                       MCMC iteration = 3634000

                       MCMC iteration = 3635000

                       MCMC iteration = 3636000

                       MCMC iteration = 3637000

                       MCMC iteration = 3638000

                       MCMC iteration = 3639000

                       MCMC iteration = 3640000

                       MCMC iteration = 3641000

                       MCMC iteration = 3642000

                       MCMC iteration = 3643000

                       MCMC iteration = 3644000

                       MCMC iteration = 3645000

                       MCMC iteration = 3646000

                       MCMC iteration = 3647000

                       MCMC iteration = 3648000

                       MCMC iteration = 3649000

                       MCMC iteration = 3650000

                       MCMC iteration = 3651000

                       MCMC iteration = 3652000

                       MCMC iteration = 3653000

                       MCMC iteration = 3654000

                       MCMC iteration = 3655000

                       MCMC iteration = 3656000

                       MCMC iteration = 3657000

                       MCMC iteration = 3658000

                       MCMC iteration = 3659000

                       MCMC iteration = 3660000

                       MCMC iteration = 3661000

                       MCMC iteration = 3662000

                       MCMC iteration = 3663000

                       MCMC iteration = 3664000

                       MCMC iteration = 3665000

                       MCMC iteration = 3666000

                       MCMC iteration = 3667000

                       MCMC iteration = 3668000

                       MCMC iteration = 3669000

                       MCMC iteration = 3670000

                       MCMC iteration = 3671000

                       MCMC iteration = 3672000

                       MCMC iteration = 3673000

                       MCMC iteration = 3674000

                       MCMC iteration = 3675000

                       MCMC iteration = 3676000

                       MCMC iteration = 3677000

                       MCMC iteration = 3678000

                       MCMC iteration = 3679000

                       MCMC iteration = 3680000

                       MCMC iteration = 3681000

                       MCMC iteration = 3682000

                       MCMC iteration = 3683000

                       MCMC iteration = 3684000

                       MCMC iteration = 3685000

                       MCMC iteration = 3686000

                       MCMC iteration = 3687000

                       MCMC iteration = 3688000

                       MCMC iteration = 3689000

                       MCMC iteration = 3690000

                       MCMC iteration = 3691000

                       MCMC iteration = 3692000

                       MCMC iteration = 3693000

                       MCMC iteration = 3694000

                       MCMC iteration = 3695000

                       MCMC iteration = 3696000

                       MCMC iteration = 3697000

                       MCMC iteration = 3698000

                       MCMC iteration = 3699000

                       MCMC iteration = 3700000

                       MCMC iteration = 3701000

                       MCMC iteration = 3702000

                       MCMC iteration = 3703000

                       MCMC iteration = 3704000

                       MCMC iteration = 3705000

                       MCMC iteration = 3706000

                       MCMC iteration = 3707000

                       MCMC iteration = 3708000

                       MCMC iteration = 3709000

                       MCMC iteration = 3710000

                       MCMC iteration = 3711000

                       MCMC iteration = 3712000

                       MCMC iteration = 3713000

                       MCMC iteration = 3714000

                       MCMC iteration = 3715000

                       MCMC iteration = 3716000

                       MCMC iteration = 3717000

                       MCMC iteration = 3718000

                       MCMC iteration = 3719000

                       MCMC iteration = 3720000

                       MCMC iteration = 3721000

                       MCMC iteration = 3722000

                       MCMC iteration = 3723000

                       MCMC iteration = 3724000

                       MCMC iteration = 3725000

                       MCMC iteration = 3726000

                       MCMC iteration = 3727000

                       MCMC iteration = 3728000

                       MCMC iteration = 3729000

                       MCMC iteration = 3730000

                       MCMC iteration = 3731000

                       MCMC iteration = 3732000

                       MCMC iteration = 3733000

                       MCMC iteration = 3734000

                       MCMC iteration = 3735000

                       MCMC iteration = 3736000

                       MCMC iteration = 3737000

                       MCMC iteration = 3738000

                       MCMC iteration = 3739000

                       MCMC iteration = 3740000

                       MCMC iteration = 3741000

                       MCMC iteration = 3742000

                       MCMC iteration = 3743000

                       MCMC iteration = 3744000

                       MCMC iteration = 3745000

                       MCMC iteration = 3746000

                       MCMC iteration = 3747000

                       MCMC iteration = 3748000

                       MCMC iteration = 3749000

                       MCMC iteration = 3750000

                       MCMC iteration = 3751000

                       MCMC iteration = 3752000

                       MCMC iteration = 3753000

                       MCMC iteration = 3754000

                       MCMC iteration = 3755000

                       MCMC iteration = 3756000

                       MCMC iteration = 3757000

                       MCMC iteration = 3758000

                       MCMC iteration = 3759000

                       MCMC iteration = 3760000

                       MCMC iteration = 3761000

                       MCMC iteration = 3762000

                       MCMC iteration = 3763000

                       MCMC iteration = 3764000

                       MCMC iteration = 3765000

                       MCMC iteration = 3766000

                       MCMC iteration = 3767000

                       MCMC iteration = 3768000

                       MCMC iteration = 3769000

                       MCMC iteration = 3770000

                       MCMC iteration = 3771000

                       MCMC iteration = 3772000

                       MCMC iteration = 3773000

                       MCMC iteration = 3774000

                       MCMC iteration = 3775000

                       MCMC iteration = 3776000

                       MCMC iteration = 3777000

                       MCMC iteration = 3778000

                       MCMC iteration = 3779000

                       MCMC iteration = 3780000

                       MCMC iteration = 3781000

                       MCMC iteration = 3782000

                       MCMC iteration = 3783000

                       MCMC iteration = 3784000

                       MCMC iteration = 3785000

                       MCMC iteration = 3786000

                       MCMC iteration = 3787000

                       MCMC iteration = 3788000

                       MCMC iteration = 3789000

                       MCMC iteration = 3790000

                       MCMC iteration = 3791000

                       MCMC iteration = 3792000

                       MCMC iteration = 3793000

                       MCMC iteration = 3794000

                       MCMC iteration = 3795000

                       MCMC iteration = 3796000

                       MCMC iteration = 3797000

                       MCMC iteration = 3798000

                       MCMC iteration = 3799000

                       MCMC iteration = 3800000

                       MCMC iteration = 3801000

                       MCMC iteration = 3802000

                       MCMC iteration = 3803000

                       MCMC iteration = 3804000

                       MCMC iteration = 3805000

                       MCMC iteration = 3806000

                       MCMC iteration = 3807000

                       MCMC iteration = 3808000

                       MCMC iteration = 3809000

                       MCMC iteration = 3810000

                       MCMC iteration = 3811000

                       MCMC iteration = 3812000

                       MCMC iteration = 3813000

                       MCMC iteration = 3814000

                       MCMC iteration = 3815000

                       MCMC iteration = 3816000

                       MCMC iteration = 3817000

                       MCMC iteration = 3818000

                       MCMC iteration = 3819000

                       MCMC iteration = 3820000

                       MCMC iteration = 3821000

                       MCMC iteration = 3822000

                       MCMC iteration = 3823000

                       MCMC iteration = 3824000

                       MCMC iteration = 3825000

                       MCMC iteration = 3826000

                       MCMC iteration = 3827000

                       MCMC iteration = 3828000

                       MCMC iteration = 3829000

                       MCMC iteration = 3830000

                       MCMC iteration = 3831000

                       MCMC iteration = 3832000

                       MCMC iteration = 3833000

                       MCMC iteration = 3834000

                       MCMC iteration = 3835000

                       MCMC iteration = 3836000

                       MCMC iteration = 3837000

                       MCMC iteration = 3838000

                       MCMC iteration = 3839000

                       MCMC iteration = 3840000

                       MCMC iteration = 3841000

                       MCMC iteration = 3842000

                       MCMC iteration = 3843000

                       MCMC iteration = 3844000

                       MCMC iteration = 3845000

                       MCMC iteration = 3846000

                       MCMC iteration = 3847000

                       MCMC iteration = 3848000

                       MCMC iteration = 3849000

                       MCMC iteration = 3850000

                       MCMC iteration = 3851000

                       MCMC iteration = 3852000

                       MCMC iteration = 3853000

                       MCMC iteration = 3854000

                       MCMC iteration = 3855000

                       MCMC iteration = 3856000

                       MCMC iteration = 3857000

                       MCMC iteration = 3858000

                       MCMC iteration = 3859000

                       MCMC iteration = 3860000

                       MCMC iteration = 3861000

                       MCMC iteration = 3862000

                       MCMC iteration = 3863000

                       MCMC iteration = 3864000

                       MCMC iteration = 3865000

                       MCMC iteration = 3866000

                       MCMC iteration = 3867000

                       MCMC iteration = 3868000

                       MCMC iteration = 3869000

                       MCMC iteration = 3870000

                       MCMC iteration = 3871000

                       MCMC iteration = 3872000

                       MCMC iteration = 3873000

                       MCMC iteration = 3874000

                       MCMC iteration = 3875000

                       MCMC iteration = 3876000

                       MCMC iteration = 3877000

                       MCMC iteration = 3878000

                       MCMC iteration = 3879000

                       MCMC iteration = 3880000

                       MCMC iteration = 3881000

                       MCMC iteration = 3882000

                       MCMC iteration = 3883000

                       MCMC iteration = 3884000

                       MCMC iteration = 3885000

                       MCMC iteration = 3886000

                       MCMC iteration = 3887000

                       MCMC iteration = 3888000

                       MCMC iteration = 3889000

                       MCMC iteration = 3890000

                       MCMC iteration = 3891000

                       MCMC iteration = 3892000

                       MCMC iteration = 3893000

                       MCMC iteration = 3894000

                       MCMC iteration = 3895000

                       MCMC iteration = 3896000

                       MCMC iteration = 3897000

                       MCMC iteration = 3898000

                       MCMC iteration = 3899000

                       MCMC iteration = 3900000

                       MCMC iteration = 3901000

                       MCMC iteration = 3902000

                       MCMC iteration = 3903000

                       MCMC iteration = 3904000

                       MCMC iteration = 3905000

                       MCMC iteration = 3906000

                       MCMC iteration = 3907000

                       MCMC iteration = 3908000

                       MCMC iteration = 3909000

                       MCMC iteration = 3910000

                       MCMC iteration = 3911000

                       MCMC iteration = 3912000

                       MCMC iteration = 3913000

                       MCMC iteration = 3914000

                       MCMC iteration = 3915000

                       MCMC iteration = 3916000

                       MCMC iteration = 3917000

                       MCMC iteration = 3918000

                       MCMC iteration = 3919000

                       MCMC iteration = 3920000

                       MCMC iteration = 3921000

                       MCMC iteration = 3922000

                       MCMC iteration = 3923000

                       MCMC iteration = 3924000

                       MCMC iteration = 3925000

                       MCMC iteration = 3926000

                       MCMC iteration = 3927000

                       MCMC iteration = 3928000

                       MCMC iteration = 3929000

                       MCMC iteration = 3930000

                       MCMC iteration = 3931000

                       MCMC iteration = 3932000

                       MCMC iteration = 3933000

                       MCMC iteration = 3934000

                       MCMC iteration = 3935000

                       MCMC iteration = 3936000

                       MCMC iteration = 3937000

                       MCMC iteration = 3938000

                       MCMC iteration = 3939000

                       MCMC iteration = 3940000

                       MCMC iteration = 3941000

                       MCMC iteration = 3942000

                       MCMC iteration = 3943000

                       MCMC iteration = 3944000

                       MCMC iteration = 3945000

                       MCMC iteration = 3946000

                       MCMC iteration = 3947000

                       MCMC iteration = 3948000

                       MCMC iteration = 3949000

                       MCMC iteration = 3950000

                       MCMC iteration = 3951000

                       MCMC iteration = 3952000

                       MCMC iteration = 3953000

                       MCMC iteration = 3954000

                       MCMC iteration = 3955000

                       MCMC iteration = 3956000

                       MCMC iteration = 3957000

                       MCMC iteration = 3958000

                       MCMC iteration = 3959000

                       MCMC iteration = 3960000

                       MCMC iteration = 3961000

                       MCMC iteration = 3962000

                       MCMC iteration = 3963000

                       MCMC iteration = 3964000

                       MCMC iteration = 3965000

                       MCMC iteration = 3966000

                       MCMC iteration = 3967000

                       MCMC iteration = 3968000

                       MCMC iteration = 3969000

                       MCMC iteration = 3970000

                       MCMC iteration = 3971000

                       MCMC iteration = 3972000

                       MCMC iteration = 3973000

                       MCMC iteration = 3974000

                       MCMC iteration = 3975000

                       MCMC iteration = 3976000

                       MCMC iteration = 3977000

                       MCMC iteration = 3978000

                       MCMC iteration = 3979000

                       MCMC iteration = 3980000

                       MCMC iteration = 3981000

                       MCMC iteration = 3982000

                       MCMC iteration = 3983000

                       MCMC iteration = 3984000

                       MCMC iteration = 3985000

                       MCMC iteration = 3986000

                       MCMC iteration = 3987000

                       MCMC iteration = 3988000

                       MCMC iteration = 3989000

                       MCMC iteration = 3990000

                       MCMC iteration = 3991000

                       MCMC iteration = 3992000

                       MCMC iteration = 3993000

                       MCMC iteration = 3994000

                       MCMC iteration = 3995000

                       MCMC iteration = 3996000

                       MCMC iteration = 3997000

                       MCMC iteration = 3998000

                       MCMC iteration = 3999000

                       MCMC iteration = 4000000

                       MCMC iteration = 4001000

                       MCMC iteration = 4002000

                       MCMC iteration = 4003000

                       MCMC iteration = 4004000

                       MCMC iteration = 4005000

                       MCMC iteration = 4006000

                       MCMC iteration = 4007000

                       MCMC iteration = 4008000

                       MCMC iteration = 4009000

                       MCMC iteration = 4010000

                       MCMC iteration = 4011000

                       MCMC iteration = 4012000

                       MCMC iteration = 4013000

                       MCMC iteration = 4014000

                       MCMC iteration = 4015000

                       MCMC iteration = 4016000

                       MCMC iteration = 4017000

                       MCMC iteration = 4018000

                       MCMC iteration = 4019000

                       MCMC iteration = 4020000

                       MCMC iteration = 4021000

                       MCMC iteration = 4022000

                       MCMC iteration = 4023000

                       MCMC iteration = 4024000

                       MCMC iteration = 4025000

                       MCMC iteration = 4026000

                       MCMC iteration = 4027000

                       MCMC iteration = 4028000

                       MCMC iteration = 4029000

                       MCMC iteration = 4030000

                       MCMC iteration = 4031000

                       MCMC iteration = 4032000

                       MCMC iteration = 4033000

                       MCMC iteration = 4034000

                       MCMC iteration = 4035000

                       MCMC iteration = 4036000

                       MCMC iteration = 4037000

                       MCMC iteration = 4038000

                       MCMC iteration = 4039000

                       MCMC iteration = 4040000

                       MCMC iteration = 4041000

                       MCMC iteration = 4042000

                       MCMC iteration = 4043000

                       MCMC iteration = 4044000

                       MCMC iteration = 4045000

                       MCMC iteration = 4046000

                       MCMC iteration = 4047000

                       MCMC iteration = 4048000

                       MCMC iteration = 4049000

                       MCMC iteration = 4050000

                       MCMC iteration = 4051000

                       MCMC iteration = 4052000

                       MCMC iteration = 4053000

                       MCMC iteration = 4054000

                       MCMC iteration = 4055000

                       MCMC iteration = 4056000

                       MCMC iteration = 4057000

                       MCMC iteration = 4058000

                       MCMC iteration = 4059000

                       MCMC iteration = 4060000

                       MCMC iteration = 4061000

                       MCMC iteration = 4062000

                       MCMC iteration = 4063000

                       MCMC iteration = 4064000

                       MCMC iteration = 4065000

                       MCMC iteration = 4066000

                       MCMC iteration = 4067000

                       MCMC iteration = 4068000

                       MCMC iteration = 4069000

                       MCMC iteration = 4070000

                       MCMC iteration = 4071000

                       MCMC iteration = 4072000

                       MCMC iteration = 4073000

                       MCMC iteration = 4074000

                       MCMC iteration = 4075000

                       MCMC iteration = 4076000

                       MCMC iteration = 4077000

                       MCMC iteration = 4078000

                       MCMC iteration = 4079000

                       MCMC iteration = 4080000

                       MCMC iteration = 4081000

                       MCMC iteration = 4082000

                       MCMC iteration = 4083000

                       MCMC iteration = 4084000

                       MCMC iteration = 4085000

                       MCMC iteration = 4086000

                       MCMC iteration = 4087000

                       MCMC iteration = 4088000

                       MCMC iteration = 4089000

                       MCMC iteration = 4090000

                       MCMC iteration = 4091000

                       MCMC iteration = 4092000

                       MCMC iteration = 4093000

                       MCMC iteration = 4094000

                       MCMC iteration = 4095000

                       MCMC iteration = 4096000

                       MCMC iteration = 4097000

                       MCMC iteration = 4098000

                       MCMC iteration = 4099000

                       MCMC iteration = 4100000

                       MCMC iteration = 4101000

                       MCMC iteration = 4102000

                       MCMC iteration = 4103000

                       MCMC iteration = 4104000

                       MCMC iteration = 4105000

                       MCMC iteration = 4106000

                       MCMC iteration = 4107000

                       MCMC iteration = 4108000

                       MCMC iteration = 4109000

                       MCMC iteration = 4110000

                       MCMC iteration = 4111000

                       MCMC iteration = 4112000

                       MCMC iteration = 4113000

                       MCMC iteration = 4114000

                       MCMC iteration = 4115000

                       MCMC iteration = 4116000

                       MCMC iteration = 4117000

                       MCMC iteration = 4118000

                       MCMC iteration = 4119000

                       MCMC iteration = 4120000

                       MCMC iteration = 4121000

                       MCMC iteration = 4122000

                       MCMC iteration = 4123000

                       MCMC iteration = 4124000

                       MCMC iteration = 4125000

                       MCMC iteration = 4126000

                       MCMC iteration = 4127000

                       MCMC iteration = 4128000

                       MCMC iteration = 4129000

                       MCMC iteration = 4130000

                       MCMC iteration = 4131000

                       MCMC iteration = 4132000

                       MCMC iteration = 4133000

                       MCMC iteration = 4134000

                       MCMC iteration = 4135000

                       MCMC iteration = 4136000

                       MCMC iteration = 4137000

                       MCMC iteration = 4138000

                       MCMC iteration = 4139000

                       MCMC iteration = 4140000

                       MCMC iteration = 4141000

                       MCMC iteration = 4142000

                       MCMC iteration = 4143000

                       MCMC iteration = 4144000

                       MCMC iteration = 4145000

                       MCMC iteration = 4146000

                       MCMC iteration = 4147000

                       MCMC iteration = 4148000

                       MCMC iteration = 4149000

                       MCMC iteration = 4150000

                       MCMC iteration = 4151000

                       MCMC iteration = 4152000

                       MCMC iteration = 4153000

                       MCMC iteration = 4154000

                       MCMC iteration = 4155000

                       MCMC iteration = 4156000

                       MCMC iteration = 4157000

                       MCMC iteration = 4158000

                       MCMC iteration = 4159000

                       MCMC iteration = 4160000

                       MCMC iteration = 4161000

                       MCMC iteration = 4162000

                       MCMC iteration = 4163000

                       MCMC iteration = 4164000

                       MCMC iteration = 4165000

                       MCMC iteration = 4166000

                       MCMC iteration = 4167000

                       MCMC iteration = 4168000

                       MCMC iteration = 4169000

                       MCMC iteration = 4170000

                       MCMC iteration = 4171000

                       MCMC iteration = 4172000

                       MCMC iteration = 4173000

                       MCMC iteration = 4174000

                       MCMC iteration = 4175000

                       MCMC iteration = 4176000

                       MCMC iteration = 4177000

                       MCMC iteration = 4178000

                       MCMC iteration = 4179000

                       MCMC iteration = 4180000

                       MCMC iteration = 4181000

                       MCMC iteration = 4182000

                       MCMC iteration = 4183000

                       MCMC iteration = 4184000

                       MCMC iteration = 4185000

                       MCMC iteration = 4186000

                       MCMC iteration = 4187000

                       MCMC iteration = 4188000

                       MCMC iteration = 4189000

                       MCMC iteration = 4190000

                       MCMC iteration = 4191000

                       MCMC iteration = 4192000

                       MCMC iteration = 4193000

                       MCMC iteration = 4194000

                       MCMC iteration = 4195000

                       MCMC iteration = 4196000

                       MCMC iteration = 4197000

                       MCMC iteration = 4198000

                       MCMC iteration = 4199000

                       MCMC iteration = 4200000

                       MCMC iteration = 4201000

                       MCMC iteration = 4202000

                       MCMC iteration = 4203000

                       MCMC iteration = 4204000

                       MCMC iteration = 4205000

                       MCMC iteration = 4206000

                       MCMC iteration = 4207000

                       MCMC iteration = 4208000

                       MCMC iteration = 4209000

                       MCMC iteration = 4210000

                       MCMC iteration = 4211000

                       MCMC iteration = 4212000

                       MCMC iteration = 4213000

                       MCMC iteration = 4214000

                       MCMC iteration = 4215000

                       MCMC iteration = 4216000

                       MCMC iteration = 4217000

                       MCMC iteration = 4218000

                       MCMC iteration = 4219000

                       MCMC iteration = 4220000

                       MCMC iteration = 4221000

                       MCMC iteration = 4222000

                       MCMC iteration = 4223000

                       MCMC iteration = 4224000

                       MCMC iteration = 4225000

                       MCMC iteration = 4226000

                       MCMC iteration = 4227000

                       MCMC iteration = 4228000

                       MCMC iteration = 4229000

                       MCMC iteration = 4230000

                       MCMC iteration = 4231000

                       MCMC iteration = 4232000

                       MCMC iteration = 4233000

                       MCMC iteration = 4234000

                       MCMC iteration = 4235000

                       MCMC iteration = 4236000

                       MCMC iteration = 4237000

                       MCMC iteration = 4238000

                       MCMC iteration = 4239000

                       MCMC iteration = 4240000

                       MCMC iteration = 4241000

                       MCMC iteration = 4242000

                       MCMC iteration = 4243000

                       MCMC iteration = 4244000

                       MCMC iteration = 4245000

                       MCMC iteration = 4246000

                       MCMC iteration = 4247000

                       MCMC iteration = 4248000

                       MCMC iteration = 4249000

                       MCMC iteration = 4250000

                       MCMC iteration = 4251000

                       MCMC iteration = 4252000

                       MCMC iteration = 4253000

                       MCMC iteration = 4254000

                       MCMC iteration = 4255000

                       MCMC iteration = 4256000

                       MCMC iteration = 4257000

                       MCMC iteration = 4258000

                       MCMC iteration = 4259000

                       MCMC iteration = 4260000

                       MCMC iteration = 4261000

                       MCMC iteration = 4262000

                       MCMC iteration = 4263000

                       MCMC iteration = 4264000

                       MCMC iteration = 4265000

                       MCMC iteration = 4266000

                       MCMC iteration = 4267000

                       MCMC iteration = 4268000

                       MCMC iteration = 4269000

                       MCMC iteration = 4270000

                       MCMC iteration = 4271000

                       MCMC iteration = 4272000

                       MCMC iteration = 4273000

                       MCMC iteration = 4274000

                       MCMC iteration = 4275000

                       MCMC iteration = 4276000

                       MCMC iteration = 4277000

                       MCMC iteration = 4278000

                       MCMC iteration = 4279000

                       MCMC iteration = 4280000

                       MCMC iteration = 4281000

                       MCMC iteration = 4282000

                       MCMC iteration = 4283000

                       MCMC iteration = 4284000

                       MCMC iteration = 4285000

                       MCMC iteration = 4286000

                       MCMC iteration = 4287000

                       MCMC iteration = 4288000

                       MCMC iteration = 4289000

                       MCMC iteration = 4290000

                       MCMC iteration = 4291000

                       MCMC iteration = 4292000

                       MCMC iteration = 4293000

                       MCMC iteration = 4294000

                       MCMC iteration = 4295000

                       MCMC iteration = 4296000

                       MCMC iteration = 4297000

                       MCMC iteration = 4298000

                       MCMC iteration = 4299000

                       MCMC iteration = 4300000

                       MCMC iteration = 4301000

                       MCMC iteration = 4302000

                       MCMC iteration = 4303000

                       MCMC iteration = 4304000

                       MCMC iteration = 4305000

                       MCMC iteration = 4306000

                       MCMC iteration = 4307000

                       MCMC iteration = 4308000

                       MCMC iteration = 4309000

                       MCMC iteration = 4310000

                       MCMC iteration = 4311000

                       MCMC iteration = 4312000

                       MCMC iteration = 4313000

                       MCMC iteration = 4314000

                       MCMC iteration = 4315000

                       MCMC iteration = 4316000

                       MCMC iteration = 4317000

                       MCMC iteration = 4318000

                       MCMC iteration = 4319000

                       MCMC iteration = 4320000

                       MCMC iteration = 4321000

                       MCMC iteration = 4322000

                       MCMC iteration = 4323000

                       MCMC iteration = 4324000

                       MCMC iteration = 4325000

                       MCMC iteration = 4326000

                       MCMC iteration = 4327000

                       MCMC iteration = 4328000

                       MCMC iteration = 4329000

                       MCMC iteration = 4330000

                       MCMC iteration = 4331000

                       MCMC iteration = 4332000

                       MCMC iteration = 4333000

                       MCMC iteration = 4334000

                       MCMC iteration = 4335000

                       MCMC iteration = 4336000

                       MCMC iteration = 4337000

                       MCMC iteration = 4338000

                       MCMC iteration = 4339000

                       MCMC iteration = 4340000

                       MCMC iteration = 4341000

                       MCMC iteration = 4342000

                       MCMC iteration = 4343000

                       MCMC iteration = 4344000

                       MCMC iteration = 4345000

                       MCMC iteration = 4346000

                       MCMC iteration = 4347000

                       MCMC iteration = 4348000

                       MCMC iteration = 4349000

                       MCMC iteration = 4350000

                       MCMC iteration = 4351000

                       MCMC iteration = 4352000

                       MCMC iteration = 4353000

                       MCMC iteration = 4354000

                       MCMC iteration = 4355000

                       MCMC iteration = 4356000

                       MCMC iteration = 4357000

                       MCMC iteration = 4358000

                       MCMC iteration = 4359000

                       MCMC iteration = 4360000

                       MCMC iteration = 4361000

                       MCMC iteration = 4362000

                       MCMC iteration = 4363000

                       MCMC iteration = 4364000

                       MCMC iteration = 4365000

                       MCMC iteration = 4366000

                       MCMC iteration = 4367000

                       MCMC iteration = 4368000

                       MCMC iteration = 4369000

                       MCMC iteration = 4370000

                       MCMC iteration = 4371000

                       MCMC iteration = 4372000

                       MCMC iteration = 4373000

                       MCMC iteration = 4374000

                       MCMC iteration = 4375000

                       MCMC iteration = 4376000

                       MCMC iteration = 4377000

                       MCMC iteration = 4378000

                       MCMC iteration = 4379000

                       MCMC iteration = 4380000

                       MCMC iteration = 4381000

                       MCMC iteration = 4382000

                       MCMC iteration = 4383000

                       MCMC iteration = 4384000

                       MCMC iteration = 4385000

                       MCMC iteration = 4386000

                       MCMC iteration = 4387000

                       MCMC iteration = 4388000

                       MCMC iteration = 4389000

                       MCMC iteration = 4390000

                       MCMC iteration = 4391000

                       MCMC iteration = 4392000

                       MCMC iteration = 4393000

                       MCMC iteration = 4394000

                       MCMC iteration = 4395000

                       MCMC iteration = 4396000

                       MCMC iteration = 4397000

                       MCMC iteration = 4398000

                       MCMC iteration = 4399000

                       MCMC iteration = 4400000

                       MCMC iteration = 4401000

                       MCMC iteration = 4402000

                       MCMC iteration = 4403000

                       MCMC iteration = 4404000

                       MCMC iteration = 4405000

                       MCMC iteration = 4406000

                       MCMC iteration = 4407000

                       MCMC iteration = 4408000

                       MCMC iteration = 4409000

                       MCMC iteration = 4410000

                       MCMC iteration = 4411000

                       MCMC iteration = 4412000

                       MCMC iteration = 4413000

                       MCMC iteration = 4414000

                       MCMC iteration = 4415000

                       MCMC iteration = 4416000

                       MCMC iteration = 4417000

                       MCMC iteration = 4418000

                       MCMC iteration = 4419000

                       MCMC iteration = 4420000

                       MCMC iteration = 4421000

                       MCMC iteration = 4422000

                       MCMC iteration = 4423000

                       MCMC iteration = 4424000

                       MCMC iteration = 4425000

                       MCMC iteration = 4426000

                       MCMC iteration = 4427000

                       MCMC iteration = 4428000

                       MCMC iteration = 4429000

                       MCMC iteration = 4430000

                       MCMC iteration = 4431000

                       MCMC iteration = 4432000

                       MCMC iteration = 4433000

                       MCMC iteration = 4434000

                       MCMC iteration = 4435000

                       MCMC iteration = 4436000

                       MCMC iteration = 4437000

                       MCMC iteration = 4438000

                       MCMC iteration = 4439000

                       MCMC iteration = 4440000

                       MCMC iteration = 4441000

                       MCMC iteration = 4442000

                       MCMC iteration = 4443000

                       MCMC iteration = 4444000

                       MCMC iteration = 4445000

                       MCMC iteration = 4446000

                       MCMC iteration = 4447000

                       MCMC iteration = 4448000

                       MCMC iteration = 4449000

                       MCMC iteration = 4450000

                       MCMC iteration = 4451000

                       MCMC iteration = 4452000

                       MCMC iteration = 4453000

                       MCMC iteration = 4454000

                       MCMC iteration = 4455000

                       MCMC iteration = 4456000

                       MCMC iteration = 4457000

                       MCMC iteration = 4458000

                       MCMC iteration = 4459000

                       MCMC iteration = 4460000

                       MCMC iteration = 4461000

                       MCMC iteration = 4462000

                       MCMC iteration = 4463000

                       MCMC iteration = 4464000

                       MCMC iteration = 4465000

                       MCMC iteration = 4466000

                       MCMC iteration = 4467000

                       MCMC iteration = 4468000

                       MCMC iteration = 4469000

                       MCMC iteration = 4470000

                       MCMC iteration = 4471000

                       MCMC iteration = 4472000

                       MCMC iteration = 4473000

                       MCMC iteration = 4474000

                       MCMC iteration = 4475000

                       MCMC iteration = 4476000

                       MCMC iteration = 4477000

                       MCMC iteration = 4478000

                       MCMC iteration = 4479000

                       MCMC iteration = 4480000

                       MCMC iteration = 4481000

                       MCMC iteration = 4482000

                       MCMC iteration = 4483000

                       MCMC iteration = 4484000

                       MCMC iteration = 4485000

                       MCMC iteration = 4486000

                       MCMC iteration = 4487000

                       MCMC iteration = 4488000

                       MCMC iteration = 4489000

                       MCMC iteration = 4490000

                       MCMC iteration = 4491000

                       MCMC iteration = 4492000

                       MCMC iteration = 4493000

                       MCMC iteration = 4494000

                       MCMC iteration = 4495000

                       MCMC iteration = 4496000

                       MCMC iteration = 4497000

                       MCMC iteration = 4498000

                       MCMC iteration = 4499000

                       MCMC iteration = 4500000

                       MCMC iteration = 4501000

                       MCMC iteration = 4502000

                       MCMC iteration = 4503000

                       MCMC iteration = 4504000

                       MCMC iteration = 4505000

                       MCMC iteration = 4506000

                       MCMC iteration = 4507000

                       MCMC iteration = 4508000

                       MCMC iteration = 4509000

                       MCMC iteration = 4510000

                       MCMC iteration = 4511000

                       MCMC iteration = 4512000

                       MCMC iteration = 4513000

                       MCMC iteration = 4514000

                       MCMC iteration = 4515000

                       MCMC iteration = 4516000

                       MCMC iteration = 4517000

                       MCMC iteration = 4518000

                       MCMC iteration = 4519000

                       MCMC iteration = 4520000

                       MCMC iteration = 4521000

                       MCMC iteration = 4522000

                       MCMC iteration = 4523000

                       MCMC iteration = 4524000

                       MCMC iteration = 4525000

                       MCMC iteration = 4526000

                       MCMC iteration = 4527000

                       MCMC iteration = 4528000

                       MCMC iteration = 4529000

                       MCMC iteration = 4530000

                       MCMC iteration = 4531000

                       MCMC iteration = 4532000

                       MCMC iteration = 4533000

                       MCMC iteration = 4534000

                       MCMC iteration = 4535000

                       MCMC iteration = 4536000

                       MCMC iteration = 4537000

                       MCMC iteration = 4538000

                       MCMC iteration = 4539000

                       MCMC iteration = 4540000

                       MCMC iteration = 4541000

                       MCMC iteration = 4542000

                       MCMC iteration = 4543000

                       MCMC iteration = 4544000

                       MCMC iteration = 4545000

                       MCMC iteration = 4546000

                       MCMC iteration = 4547000

                       MCMC iteration = 4548000

                       MCMC iteration = 4549000

                       MCMC iteration = 4550000

                       MCMC iteration = 4551000

                       MCMC iteration = 4552000

                       MCMC iteration = 4553000

                       MCMC iteration = 4554000

                       MCMC iteration = 4555000

                       MCMC iteration = 4556000

                       MCMC iteration = 4557000

                       MCMC iteration = 4558000

                       MCMC iteration = 4559000

                       MCMC iteration = 4560000

                       MCMC iteration = 4561000

                       MCMC iteration = 4562000

                       MCMC iteration = 4563000

                       MCMC iteration = 4564000

                       MCMC iteration = 4565000

                       MCMC iteration = 4566000

                       MCMC iteration = 4567000

                       MCMC iteration = 4568000

                       MCMC iteration = 4569000

                       MCMC iteration = 4570000

                       MCMC iteration = 4571000

                       MCMC iteration = 4572000

                       MCMC iteration = 4573000

                       MCMC iteration = 4574000

                       MCMC iteration = 4575000

                       MCMC iteration = 4576000

                       MCMC iteration = 4577000

                       MCMC iteration = 4578000

                       MCMC iteration = 4579000

                       MCMC iteration = 4580000

                       MCMC iteration = 4581000

                       MCMC iteration = 4582000

                       MCMC iteration = 4583000

                       MCMC iteration = 4584000

                       MCMC iteration = 4585000

                       MCMC iteration = 4586000

                       MCMC iteration = 4587000

                       MCMC iteration = 4588000

                       MCMC iteration = 4589000

                       MCMC iteration = 4590000

                       MCMC iteration = 4591000

                       MCMC iteration = 4592000

                       MCMC iteration = 4593000

                       MCMC iteration = 4594000

                       MCMC iteration = 4595000

                       MCMC iteration = 4596000

                       MCMC iteration = 4597000

                       MCMC iteration = 4598000

                       MCMC iteration = 4599000

                       MCMC iteration = 4600000

                       MCMC iteration = 4601000

                       MCMC iteration = 4602000

                       MCMC iteration = 4603000

                       MCMC iteration = 4604000

                       MCMC iteration = 4605000

                       MCMC iteration = 4606000

                       MCMC iteration = 4607000

                       MCMC iteration = 4608000

                       MCMC iteration = 4609000

                       MCMC iteration = 4610000

                       MCMC iteration = 4611000

                       MCMC iteration = 4612000

                       MCMC iteration = 4613000

                       MCMC iteration = 4614000

                       MCMC iteration = 4615000

                       MCMC iteration = 4616000

                       MCMC iteration = 4617000

                       MCMC iteration = 4618000

                       MCMC iteration = 4619000

                       MCMC iteration = 4620000

                       MCMC iteration = 4621000

                       MCMC iteration = 4622000

                       MCMC iteration = 4623000

                       MCMC iteration = 4624000

                       MCMC iteration = 4625000

                       MCMC iteration = 4626000

                       MCMC iteration = 4627000

                       MCMC iteration = 4628000

                       MCMC iteration = 4629000

                       MCMC iteration = 4630000

                       MCMC iteration = 4631000

                       MCMC iteration = 4632000

                       MCMC iteration = 4633000

                       MCMC iteration = 4634000

                       MCMC iteration = 4635000

                       MCMC iteration = 4636000

                       MCMC iteration = 4637000

                       MCMC iteration = 4638000

                       MCMC iteration = 4639000

                       MCMC iteration = 4640000

                       MCMC iteration = 4641000

                       MCMC iteration = 4642000

                       MCMC iteration = 4643000

                       MCMC iteration = 4644000

                       MCMC iteration = 4645000

                       MCMC iteration = 4646000

                       MCMC iteration = 4647000

                       MCMC iteration = 4648000

                       MCMC iteration = 4649000

                       MCMC iteration = 4650000

                       MCMC iteration = 4651000

                       MCMC iteration = 4652000

                       MCMC iteration = 4653000

                       MCMC iteration = 4654000

                       MCMC iteration = 4655000

                       MCMC iteration = 4656000

                       MCMC iteration = 4657000

                       MCMC iteration = 4658000

                       MCMC iteration = 4659000

                       MCMC iteration = 4660000

                       MCMC iteration = 4661000

                       MCMC iteration = 4662000

                       MCMC iteration = 4663000

                       MCMC iteration = 4664000

                       MCMC iteration = 4665000

                       MCMC iteration = 4666000

                       MCMC iteration = 4667000

                       MCMC iteration = 4668000

                       MCMC iteration = 4669000

                       MCMC iteration = 4670000

                       MCMC iteration = 4671000

                       MCMC iteration = 4672000

                       MCMC iteration = 4673000

                       MCMC iteration = 4674000

                       MCMC iteration = 4675000

                       MCMC iteration = 4676000

                       MCMC iteration = 4677000

                       MCMC iteration = 4678000

                       MCMC iteration = 4679000

                       MCMC iteration = 4680000

                       MCMC iteration = 4681000

                       MCMC iteration = 4682000

                       MCMC iteration = 4683000

                       MCMC iteration = 4684000

                       MCMC iteration = 4685000

                       MCMC iteration = 4686000

                       MCMC iteration = 4687000

                       MCMC iteration = 4688000

                       MCMC iteration = 4689000

                       MCMC iteration = 4690000

                       MCMC iteration = 4691000

                       MCMC iteration = 4692000

                       MCMC iteration = 4693000

                       MCMC iteration = 4694000

                       MCMC iteration = 4695000

                       MCMC iteration = 4696000

                       MCMC iteration = 4697000

                       MCMC iteration = 4698000

                       MCMC iteration = 4699000

                       MCMC iteration = 4700000

                       MCMC iteration = 4701000

                       MCMC iteration = 4702000

                       MCMC iteration = 4703000

                       MCMC iteration = 4704000

                       MCMC iteration = 4705000

                       MCMC iteration = 4706000

                       MCMC iteration = 4707000

                       MCMC iteration = 4708000

                       MCMC iteration = 4709000

                       MCMC iteration = 4710000

                       MCMC iteration = 4711000

                       MCMC iteration = 4712000

                       MCMC iteration = 4713000

                       MCMC iteration = 4714000

                       MCMC iteration = 4715000

                       MCMC iteration = 4716000

                       MCMC iteration = 4717000

                       MCMC iteration = 4718000

                       MCMC iteration = 4719000

                       MCMC iteration = 4720000

                       MCMC iteration = 4721000

                       MCMC iteration = 4722000

                       MCMC iteration = 4723000

                       MCMC iteration = 4724000

                       MCMC iteration = 4725000

                       MCMC iteration = 4726000

                       MCMC iteration = 4727000

                       MCMC iteration = 4728000

                       MCMC iteration = 4729000

                       MCMC iteration = 4730000

                       MCMC iteration = 4731000

                       MCMC iteration = 4732000

                       MCMC iteration = 4733000

                       MCMC iteration = 4734000

                       MCMC iteration = 4735000

                       MCMC iteration = 4736000

                       MCMC iteration = 4737000

                       MCMC iteration = 4738000

                       MCMC iteration = 4739000

                       MCMC iteration = 4740000

                       MCMC iteration = 4741000

                       MCMC iteration = 4742000

                       MCMC iteration = 4743000

                       MCMC iteration = 4744000

                       MCMC iteration = 4745000

                       MCMC iteration = 4746000

                       MCMC iteration = 4747000

                       MCMC iteration = 4748000

                       MCMC iteration = 4749000

                       MCMC iteration = 4750000

                       MCMC iteration = 4751000

                       MCMC iteration = 4752000

                       MCMC iteration = 4753000

                       MCMC iteration = 4754000

                       MCMC iteration = 4755000

                       MCMC iteration = 4756000

                       MCMC iteration = 4757000

                       MCMC iteration = 4758000

                       MCMC iteration = 4759000

                       MCMC iteration = 4760000

                       MCMC iteration = 4761000

                       MCMC iteration = 4762000

                       MCMC iteration = 4763000

                       MCMC iteration = 4764000

                       MCMC iteration = 4765000

                       MCMC iteration = 4766000

                       MCMC iteration = 4767000

                       MCMC iteration = 4768000

                       MCMC iteration = 4769000

                       MCMC iteration = 4770000

                       MCMC iteration = 4771000

                       MCMC iteration = 4772000

                       MCMC iteration = 4773000

                       MCMC iteration = 4774000

                       MCMC iteration = 4775000

                       MCMC iteration = 4776000

                       MCMC iteration = 4777000

                       MCMC iteration = 4778000

                       MCMC iteration = 4779000

                       MCMC iteration = 4780000

                       MCMC iteration = 4781000

                       MCMC iteration = 4782000

                       MCMC iteration = 4783000

                       MCMC iteration = 4784000

                       MCMC iteration = 4785000

                       MCMC iteration = 4786000

                       MCMC iteration = 4787000

                       MCMC iteration = 4788000

                       MCMC iteration = 4789000

                       MCMC iteration = 4790000

                       MCMC iteration = 4791000

                       MCMC iteration = 4792000

                       MCMC iteration = 4793000

                       MCMC iteration = 4794000

                       MCMC iteration = 4795000

                       MCMC iteration = 4796000

                       MCMC iteration = 4797000

                       MCMC iteration = 4798000

                       MCMC iteration = 4799000

                       MCMC iteration = 4800000

                       MCMC iteration = 4801000

                       MCMC iteration = 4802000

                       MCMC iteration = 4803000

                       MCMC iteration = 4804000

                       MCMC iteration = 4805000

                       MCMC iteration = 4806000

                       MCMC iteration = 4807000

                       MCMC iteration = 4808000

                       MCMC iteration = 4809000

                       MCMC iteration = 4810000

                       MCMC iteration = 4811000

                       MCMC iteration = 4812000

                       MCMC iteration = 4813000

                       MCMC iteration = 4814000

                       MCMC iteration = 4815000

                       MCMC iteration = 4816000

                       MCMC iteration = 4817000

                       MCMC iteration = 4818000

                       MCMC iteration = 4819000

                       MCMC iteration = 4820000

                       MCMC iteration = 4821000

                       MCMC iteration = 4822000

                       MCMC iteration = 4823000

                       MCMC iteration = 4824000

                       MCMC iteration = 4825000

                       MCMC iteration = 4826000

                       MCMC iteration = 4827000

                       MCMC iteration = 4828000

                       MCMC iteration = 4829000

                       MCMC iteration = 4830000

                       MCMC iteration = 4831000

                       MCMC iteration = 4832000

                       MCMC iteration = 4833000

                       MCMC iteration = 4834000

                       MCMC iteration = 4835000

                       MCMC iteration = 4836000

                       MCMC iteration = 4837000

                       MCMC iteration = 4838000

                       MCMC iteration = 4839000

                       MCMC iteration = 4840000

                       MCMC iteration = 4841000

                       MCMC iteration = 4842000

                       MCMC iteration = 4843000

                       MCMC iteration = 4844000

                       MCMC iteration = 4845000

                       MCMC iteration = 4846000

                       MCMC iteration = 4847000

                       MCMC iteration = 4848000

                       MCMC iteration = 4849000

                       MCMC iteration = 4850000

                       MCMC iteration = 4851000

                       MCMC iteration = 4852000

                       MCMC iteration = 4853000

                       MCMC iteration = 4854000

                       MCMC iteration = 4855000

                       MCMC iteration = 4856000

                       MCMC iteration = 4857000

                       MCMC iteration = 4858000

                       MCMC iteration = 4859000

                       MCMC iteration = 4860000

                       MCMC iteration = 4861000

                       MCMC iteration = 4862000

                       MCMC iteration = 4863000

                       MCMC iteration = 4864000

                       MCMC iteration = 4865000

                       MCMC iteration = 4866000

                       MCMC iteration = 4867000

                       MCMC iteration = 4868000

                       MCMC iteration = 4869000

                       MCMC iteration = 4870000

                       MCMC iteration = 4871000

                       MCMC iteration = 4872000

                       MCMC iteration = 4873000

                       MCMC iteration = 4874000

                       MCMC iteration = 4875000

                       MCMC iteration = 4876000

                       MCMC iteration = 4877000

                       MCMC iteration = 4878000

                       MCMC iteration = 4879000

                       MCMC iteration = 4880000

                       MCMC iteration = 4881000

                       MCMC iteration = 4882000

                       MCMC iteration = 4883000

                       MCMC iteration = 4884000

                       MCMC iteration = 4885000

                       MCMC iteration = 4886000

                       MCMC iteration = 4887000

                       MCMC iteration = 4888000

                       MCMC iteration = 4889000

                       MCMC iteration = 4890000

                       MCMC iteration = 4891000

                       MCMC iteration = 4892000

                       MCMC iteration = 4893000

                       MCMC iteration = 4894000

                       MCMC iteration = 4895000

                       MCMC iteration = 4896000

                       MCMC iteration = 4897000

                       MCMC iteration = 4898000

                       MCMC iteration = 4899000

                       MCMC iteration = 4900000

                       MCMC iteration = 4901000

                       MCMC iteration = 4902000

                       MCMC iteration = 4903000

                       MCMC iteration = 4904000

                       MCMC iteration = 4905000

                       MCMC iteration = 4906000

                       MCMC iteration = 4907000

                       MCMC iteration = 4908000

                       MCMC iteration = 4909000

                       MCMC iteration = 4910000

                       MCMC iteration = 4911000

                       MCMC iteration = 4912000

                       MCMC iteration = 4913000

                       MCMC iteration = 4914000

                       MCMC iteration = 4915000

                       MCMC iteration = 4916000

                       MCMC iteration = 4917000

                       MCMC iteration = 4918000

                       MCMC iteration = 4919000

                       MCMC iteration = 4920000

                       MCMC iteration = 4921000

                       MCMC iteration = 4922000

                       MCMC iteration = 4923000

                       MCMC iteration = 4924000

                       MCMC iteration = 4925000

                       MCMC iteration = 4926000

                       MCMC iteration = 4927000

                       MCMC iteration = 4928000

                       MCMC iteration = 4929000

                       MCMC iteration = 4930000

                       MCMC iteration = 4931000

                       MCMC iteration = 4932000

                       MCMC iteration = 4933000

                       MCMC iteration = 4934000

                       MCMC iteration = 4935000

                       MCMC iteration = 4936000

                       MCMC iteration = 4937000

                       MCMC iteration = 4938000

                       MCMC iteration = 4939000

                       MCMC iteration = 4940000

                       MCMC iteration = 4941000

                       MCMC iteration = 4942000

                       MCMC iteration = 4943000

                       MCMC iteration = 4944000

                       MCMC iteration = 4945000

                       MCMC iteration = 4946000

                       MCMC iteration = 4947000

                       MCMC iteration = 4948000

                       MCMC iteration = 4949000

                       MCMC iteration = 4950000

                       MCMC iteration = 4951000

                       MCMC iteration = 4952000

                       MCMC iteration = 4953000

                       MCMC iteration = 4954000

                       MCMC iteration = 4955000

                       MCMC iteration = 4956000

                       MCMC iteration = 4957000

                       MCMC iteration = 4958000

                       MCMC iteration = 4959000

                       MCMC iteration = 4960000

                       MCMC iteration = 4961000

                       MCMC iteration = 4962000

                       MCMC iteration = 4963000

                       MCMC iteration = 4964000

                       MCMC iteration = 4965000

                       MCMC iteration = 4966000

                       MCMC iteration = 4967000

                       MCMC iteration = 4968000

                       MCMC iteration = 4969000

                       MCMC iteration = 4970000

                       MCMC iteration = 4971000

                       MCMC iteration = 4972000

                       MCMC iteration = 4973000

                       MCMC iteration = 4974000

                       MCMC iteration = 4975000

                       MCMC iteration = 4976000

                       MCMC iteration = 4977000

                       MCMC iteration = 4978000

                       MCMC iteration = 4979000

                       MCMC iteration = 4980000

                       MCMC iteration = 4981000

                       MCMC iteration = 4982000

                       MCMC iteration = 4983000

                       MCMC iteration = 4984000

                       MCMC iteration = 4985000

                       MCMC iteration = 4986000

                       MCMC iteration = 4987000

                       MCMC iteration = 4988000

                       MCMC iteration = 4989000

                       MCMC iteration = 4990000

                       MCMC iteration = 4991000

                       MCMC iteration = 4992000

                       MCMC iteration = 4993000

                       MCMC iteration = 4994000

                       MCMC iteration = 4995000

                       MCMC iteration = 4996000

                       MCMC iteration = 4997000

                       MCMC iteration = 4998000

                       MCMC iteration = 4999000

                       MCMC iteration = 5000000

                       MCMC iteration = 5001000

                       MCMC iteration = 5002000

                       MCMC iteration = 5003000

                       MCMC iteration = 5004000

                       MCMC iteration = 5005000

                       MCMC iteration = 5006000

                       MCMC iteration = 5007000

                       MCMC iteration = 5008000

                       MCMC iteration = 5009000

                       MCMC iteration = 5010000

                       MCMC iteration = 5011000

                       MCMC iteration = 5012000

                       MCMC iteration = 5013000

                       MCMC iteration = 5014000

                       MCMC iteration = 5015000

                       MCMC iteration = 5016000

                       MCMC iteration = 5017000

                       MCMC iteration = 5018000

                       MCMC iteration = 5019000

                       MCMC iteration = 5020000

                       MCMC iteration = 5021000

                       MCMC iteration = 5022000

                       MCMC iteration = 5023000

                       MCMC iteration = 5024000

                       MCMC iteration = 5025000

                       MCMC iteration = 5026000

                       MCMC iteration = 5027000

                       MCMC iteration = 5028000

                       MCMC iteration = 5029000

                       MCMC iteration = 5030000

                       MCMC iteration = 5031000

                       MCMC iteration = 5032000

                       MCMC iteration = 5033000

                       MCMC iteration = 5034000

                       MCMC iteration = 5035000

                       MCMC iteration = 5036000

                       MCMC iteration = 5037000

                       MCMC iteration = 5038000

                       MCMC iteration = 5039000

                       MCMC iteration = 5040000

                       MCMC iteration = 5041000

                       MCMC iteration = 5042000

                       MCMC iteration = 5043000

                       MCMC iteration = 5044000

                       MCMC iteration = 5045000

                       MCMC iteration = 5046000

                       MCMC iteration = 5047000

                       MCMC iteration = 5048000

                       MCMC iteration = 5049000

                       MCMC iteration = 5050000

                       MCMC iteration = 5051000

                       MCMC iteration = 5052000

                       MCMC iteration = 5053000

                       MCMC iteration = 5054000

                       MCMC iteration = 5055000

                       MCMC iteration = 5056000

                       MCMC iteration = 5057000

                       MCMC iteration = 5058000

                       MCMC iteration = 5059000

                       MCMC iteration = 5060000

                       MCMC iteration = 5061000

                       MCMC iteration = 5062000

                       MCMC iteration = 5063000

                       MCMC iteration = 5064000

                       MCMC iteration = 5065000

                       MCMC iteration = 5066000

                       MCMC iteration = 5067000

                       MCMC iteration = 5068000

                       MCMC iteration = 5069000

                       MCMC iteration = 5070000

                       MCMC iteration = 5071000

                       MCMC iteration = 5072000

                       MCMC iteration = 5073000

                       MCMC iteration = 5074000

                       MCMC iteration = 5075000

                       MCMC iteration = 5076000

                       MCMC iteration = 5077000

                       MCMC iteration = 5078000

                       MCMC iteration = 5079000

                       MCMC iteration = 5080000

                       MCMC iteration = 5081000

                       MCMC iteration = 5082000

                       MCMC iteration = 5083000

                       MCMC iteration = 5084000

                       MCMC iteration = 5085000

                       MCMC iteration = 5086000

                       MCMC iteration = 5087000

                       MCMC iteration = 5088000

                       MCMC iteration = 5089000

                       MCMC iteration = 5090000

                       MCMC iteration = 5091000

                       MCMC iteration = 5092000

                       MCMC iteration = 5093000

                       MCMC iteration = 5094000

                       MCMC iteration = 5095000

                       MCMC iteration = 5096000

                       MCMC iteration = 5097000

                       MCMC iteration = 5098000

                       MCMC iteration = 5099000

                       MCMC iteration = 5100000

                       MCMC iteration = 5101000

                       MCMC iteration = 5102000

                       MCMC iteration = 5103000

                       MCMC iteration = 5104000

                       MCMC iteration = 5105000

                       MCMC iteration = 5106000

                       MCMC iteration = 5107000

                       MCMC iteration = 5108000

                       MCMC iteration = 5109000

                       MCMC iteration = 5110000

                       MCMC iteration = 5111000

                       MCMC iteration = 5112000

                       MCMC iteration = 5113000

                       MCMC iteration = 5114000

                       MCMC iteration = 5115000

                       MCMC iteration = 5116000

                       MCMC iteration = 5117000

                       MCMC iteration = 5118000

                       MCMC iteration = 5119000

                       MCMC iteration = 5120000

                       MCMC iteration = 5121000

                       MCMC iteration = 5122000

                       MCMC iteration = 5123000

                       MCMC iteration = 5124000

                       MCMC iteration = 5125000

                       MCMC iteration = 5126000

                       MCMC iteration = 5127000

                       MCMC iteration = 5128000

                       MCMC iteration = 5129000

                       MCMC iteration = 5130000

                       MCMC iteration = 5131000

                       MCMC iteration = 5132000

                       MCMC iteration = 5133000

                       MCMC iteration = 5134000

                       MCMC iteration = 5135000

                       MCMC iteration = 5136000

                       MCMC iteration = 5137000

                       MCMC iteration = 5138000

                       MCMC iteration = 5139000

                       MCMC iteration = 5140000

                       MCMC iteration = 5141000

                       MCMC iteration = 5142000

                       MCMC iteration = 5143000

                       MCMC iteration = 5144000

                       MCMC iteration = 5145000

                       MCMC iteration = 5146000

                       MCMC iteration = 5147000

                       MCMC iteration = 5148000

                       MCMC iteration = 5149000

                       MCMC iteration = 5150000

                       MCMC iteration = 5151000

                       MCMC iteration = 5152000

                       MCMC iteration = 5153000

                       MCMC iteration = 5154000

                       MCMC iteration = 5155000

                       MCMC iteration = 5156000

                       MCMC iteration = 5157000

                       MCMC iteration = 5158000

                       MCMC iteration = 5159000

                       MCMC iteration = 5160000

                       MCMC iteration = 5161000

                       MCMC iteration = 5162000

                       MCMC iteration = 5163000

                       MCMC iteration = 5164000

                       MCMC iteration = 5165000

                       MCMC iteration = 5166000

                       MCMC iteration = 5167000

                       MCMC iteration = 5168000

                       MCMC iteration = 5169000

                       MCMC iteration = 5170000

                       MCMC iteration = 5171000

                       MCMC iteration = 5172000

                       MCMC iteration = 5173000

                       MCMC iteration = 5174000

                       MCMC iteration = 5175000

                       MCMC iteration = 5176000

                       MCMC iteration = 5177000

                       MCMC iteration = 5178000

                       MCMC iteration = 5179000

                       MCMC iteration = 5180000

                       MCMC iteration = 5181000

                       MCMC iteration = 5182000

                       MCMC iteration = 5183000

                       MCMC iteration = 5184000

                       MCMC iteration = 5185000

                       MCMC iteration = 5186000

                       MCMC iteration = 5187000

                       MCMC iteration = 5188000

                       MCMC iteration = 5189000

                       MCMC iteration = 5190000

                       MCMC iteration = 5191000

                       MCMC iteration = 5192000

                       MCMC iteration = 5193000

                       MCMC iteration = 5194000

                       MCMC iteration = 5195000

                       MCMC iteration = 5196000

                       MCMC iteration = 5197000

                       MCMC iteration = 5198000

                       MCMC iteration = 5199000

                       MCMC iteration = 5200000

                       MCMC iteration = 5201000

                       MCMC iteration = 5202000

                       MCMC iteration = 5203000

                       MCMC iteration = 5204000

                       MCMC iteration = 5205000

                       MCMC iteration = 5206000

                       MCMC iteration = 5207000

                       MCMC iteration = 5208000

                       MCMC iteration = 5209000

                       MCMC iteration = 5210000

                       MCMC iteration = 5211000

                       MCMC iteration = 5212000

                       MCMC iteration = 5213000

                       MCMC iteration = 5214000

                       MCMC iteration = 5215000

                       MCMC iteration = 5216000

                       MCMC iteration = 5217000

                       MCMC iteration = 5218000

                       MCMC iteration = 5219000

                       MCMC iteration = 5220000

                       MCMC iteration = 5221000

                       MCMC iteration = 5222000

                       MCMC iteration = 5223000

                       MCMC iteration = 5224000

                       MCMC iteration = 5225000

                       MCMC iteration = 5226000

                       MCMC iteration = 5227000

                       MCMC iteration = 5228000

                       MCMC iteration = 5229000

                       MCMC iteration = 5230000

                       MCMC iteration = 5231000

                       MCMC iteration = 5232000

                       MCMC iteration = 5233000

                       MCMC iteration = 5234000

                       MCMC iteration = 5235000

                       MCMC iteration = 5236000

                       MCMC iteration = 5237000

                       MCMC iteration = 5238000

                       MCMC iteration = 5239000

                       MCMC iteration = 5240000

                       MCMC iteration = 5241000

                       MCMC iteration = 5242000

                       MCMC iteration = 5243000

                       MCMC iteration = 5244000

                       MCMC iteration = 5245000

                       MCMC iteration = 5246000

                       MCMC iteration = 5247000

                       MCMC iteration = 5248000

                       MCMC iteration = 5249000

                       MCMC iteration = 5250000

                       MCMC iteration = 5251000

                       MCMC iteration = 5252000

                       MCMC iteration = 5253000

                       MCMC iteration = 5254000

                       MCMC iteration = 5255000

                       MCMC iteration = 5256000

                       MCMC iteration = 5257000

                       MCMC iteration = 5258000

                       MCMC iteration = 5259000

                       MCMC iteration = 5260000

                       MCMC iteration = 5261000

                       MCMC iteration = 5262000

                       MCMC iteration = 5263000

                       MCMC iteration = 5264000

                       MCMC iteration = 5265000

                       MCMC iteration = 5266000

                       MCMC iteration = 5267000

                       MCMC iteration = 5268000

                       MCMC iteration = 5269000

                       MCMC iteration = 5270000

                       MCMC iteration = 5271000

                       MCMC iteration = 5272000

                       MCMC iteration = 5273000

                       MCMC iteration = 5274000

                       MCMC iteration = 5275000

                       MCMC iteration = 5276000

                       MCMC iteration = 5277000

                       MCMC iteration = 5278000

                       MCMC iteration = 5279000

                       MCMC iteration = 5280000

                       MCMC iteration = 5281000

                       MCMC iteration = 5282000

                       MCMC iteration = 5283000

                       MCMC iteration = 5284000

                       MCMC iteration = 5285000

                       MCMC iteration = 5286000

                       MCMC iteration = 5287000

                       MCMC iteration = 5288000

                       MCMC iteration = 5289000

                       MCMC iteration = 5290000

                       MCMC iteration = 5291000

                       MCMC iteration = 5292000

                       MCMC iteration = 5293000

                       MCMC iteration = 5294000

                       MCMC iteration = 5295000

                       MCMC iteration = 5296000

                       MCMC iteration = 5297000

                       MCMC iteration = 5298000

                       MCMC iteration = 5299000

                       MCMC iteration = 5300000

                       MCMC iteration = 5301000

                       MCMC iteration = 5302000

                       MCMC iteration = 5303000

                       MCMC iteration = 5304000

                       MCMC iteration = 5305000

                       MCMC iteration = 5306000

                       MCMC iteration = 5307000

                       MCMC iteration = 5308000

                       MCMC iteration = 5309000

                       MCMC iteration = 5310000

                       MCMC iteration = 5311000

                       MCMC iteration = 5312000

                       MCMC iteration = 5313000

                       MCMC iteration = 5314000

                       MCMC iteration = 5315000

                       MCMC iteration = 5316000

                       MCMC iteration = 5317000

                       MCMC iteration = 5318000

                       MCMC iteration = 5319000

                       MCMC iteration = 5320000

                       MCMC iteration = 5321000

                       MCMC iteration = 5322000

                       MCMC iteration = 5323000

                       MCMC iteration = 5324000

                       MCMC iteration = 5325000

                       MCMC iteration = 5326000

                       MCMC iteration = 5327000

                       MCMC iteration = 5328000

                       MCMC iteration = 5329000

                       MCMC iteration = 5330000

                       MCMC iteration = 5331000

                       MCMC iteration = 5332000

                       MCMC iteration = 5333000

                       MCMC iteration = 5334000

                       MCMC iteration = 5335000

                       MCMC iteration = 5336000

                       MCMC iteration = 5337000

                       MCMC iteration = 5338000

                       MCMC iteration = 5339000

                       MCMC iteration = 5340000

                       MCMC iteration = 5341000

                       MCMC iteration = 5342000

                       MCMC iteration = 5343000

                       MCMC iteration = 5344000

                       MCMC iteration = 5345000

                       MCMC iteration = 5346000

                       MCMC iteration = 5347000

                       MCMC iteration = 5348000

                       MCMC iteration = 5349000

                       MCMC iteration = 5350000

                       MCMC iteration = 5351000

                       MCMC iteration = 5352000

                       MCMC iteration = 5353000

                       MCMC iteration = 5354000

                       MCMC iteration = 5355000

                       MCMC iteration = 5356000

                       MCMC iteration = 5357000

                       MCMC iteration = 5358000

                       MCMC iteration = 5359000

                       MCMC iteration = 5360000

                       MCMC iteration = 5361000

                       MCMC iteration = 5362000

                       MCMC iteration = 5363000

                       MCMC iteration = 5364000

                       MCMC iteration = 5365000

                       MCMC iteration = 5366000

                       MCMC iteration = 5367000

                       MCMC iteration = 5368000

                       MCMC iteration = 5369000

                       MCMC iteration = 5370000

                       MCMC iteration = 5371000

                       MCMC iteration = 5372000

                       MCMC iteration = 5373000

                       MCMC iteration = 5374000

                       MCMC iteration = 5375000

                       MCMC iteration = 5376000

                       MCMC iteration = 5377000

                       MCMC iteration = 5378000

                       MCMC iteration = 5379000

                       MCMC iteration = 5380000

                       MCMC iteration = 5381000

                       MCMC iteration = 5382000

                       MCMC iteration = 5383000

                       MCMC iteration = 5384000

                       MCMC iteration = 5385000

                       MCMC iteration = 5386000

                       MCMC iteration = 5387000

                       MCMC iteration = 5388000

                       MCMC iteration = 5389000

                       MCMC iteration = 5390000

                       MCMC iteration = 5391000

                       MCMC iteration = 5392000

                       MCMC iteration = 5393000

                       MCMC iteration = 5394000

                       MCMC iteration = 5395000

                       MCMC iteration = 5396000

                       MCMC iteration = 5397000

                       MCMC iteration = 5398000

                       MCMC iteration = 5399000

                       MCMC iteration = 5400000

                       MCMC iteration = 5401000

                       MCMC iteration = 5402000

                       MCMC iteration = 5403000

                       MCMC iteration = 5404000

                       MCMC iteration = 5405000

                       MCMC iteration = 5406000

                       MCMC iteration = 5407000

                       MCMC iteration = 5408000

                       MCMC iteration = 5409000

                       MCMC iteration = 5410000

                       MCMC iteration = 5411000

                       MCMC iteration = 5412000

                       MCMC iteration = 5413000

                       MCMC iteration = 5414000

                       MCMC iteration = 5415000

                       MCMC iteration = 5416000

                       MCMC iteration = 5417000

                       MCMC iteration = 5418000

                       MCMC iteration = 5419000

                       MCMC iteration = 5420000

                       MCMC iteration = 5421000

                       MCMC iteration = 5422000

                       MCMC iteration = 5423000

                       MCMC iteration = 5424000

                       MCMC iteration = 5425000

                       MCMC iteration = 5426000

                       MCMC iteration = 5427000

                       MCMC iteration = 5428000

                       MCMC iteration = 5429000

                       MCMC iteration = 5430000

                       MCMC iteration = 5431000

                       MCMC iteration = 5432000

                       MCMC iteration = 5433000

                       MCMC iteration = 5434000

                       MCMC iteration = 5435000

                       MCMC iteration = 5436000

                       MCMC iteration = 5437000

                       MCMC iteration = 5438000

                       MCMC iteration = 5439000

                       MCMC iteration = 5440000

                       MCMC iteration = 5441000

                       MCMC iteration = 5442000

                       MCMC iteration = 5443000

                       MCMC iteration = 5444000

                       MCMC iteration = 5445000

                       MCMC iteration = 5446000

                       MCMC iteration = 5447000

                       MCMC iteration = 5448000

                       MCMC iteration = 5449000

                       MCMC iteration = 5450000

                       MCMC iteration = 5451000

                       MCMC iteration = 5452000

                       MCMC iteration = 5453000

                       MCMC iteration = 5454000

                       MCMC iteration = 5455000

                       MCMC iteration = 5456000

                       MCMC iteration = 5457000

                       MCMC iteration = 5458000

                       MCMC iteration = 5459000

                       MCMC iteration = 5460000

                       MCMC iteration = 5461000

                       MCMC iteration = 5462000

                       MCMC iteration = 5463000

                       MCMC iteration = 5464000

                       MCMC iteration = 5465000

                       MCMC iteration = 5466000

                       MCMC iteration = 5467000

                       MCMC iteration = 5468000

                       MCMC iteration = 5469000

                       MCMC iteration = 5470000

                       MCMC iteration = 5471000

                       MCMC iteration = 5472000

                       MCMC iteration = 5473000

                       MCMC iteration = 5474000

                       MCMC iteration = 5475000

                       MCMC iteration = 5476000

                       MCMC iteration = 5477000

                       MCMC iteration = 5478000

                       MCMC iteration = 5479000

                       MCMC iteration = 5480000

                       MCMC iteration = 5481000

                       MCMC iteration = 5482000

                       MCMC iteration = 5483000

                       MCMC iteration = 5484000

                       MCMC iteration = 5485000

                       MCMC iteration = 5486000

                       MCMC iteration = 5487000

                       MCMC iteration = 5488000

                       MCMC iteration = 5489000

                       MCMC iteration = 5490000

                       MCMC iteration = 5491000

                       MCMC iteration = 5492000

                       MCMC iteration = 5493000

                       MCMC iteration = 5494000

                       MCMC iteration = 5495000

                       MCMC iteration = 5496000

                       MCMC iteration = 5497000

                       MCMC iteration = 5498000

                       MCMC iteration = 5499000

                       MCMC iteration = 5500000

                       MCMC iteration = 5501000

                       MCMC iteration = 5502000

                       MCMC iteration = 5503000

                       MCMC iteration = 5504000

                       MCMC iteration = 5505000

                       MCMC iteration = 5506000

                       MCMC iteration = 5507000

                       MCMC iteration = 5508000

                       MCMC iteration = 5509000

                       MCMC iteration = 5510000

                       MCMC iteration = 5511000

                       MCMC iteration = 5512000

                       MCMC iteration = 5513000

                       MCMC iteration = 5514000

                       MCMC iteration = 5515000

                       MCMC iteration = 5516000

                       MCMC iteration = 5517000

                       MCMC iteration = 5518000

                       MCMC iteration = 5519000

                       MCMC iteration = 5520000

                       MCMC iteration = 5521000

                       MCMC iteration = 5522000

                       MCMC iteration = 5523000

                       MCMC iteration = 5524000

                       MCMC iteration = 5525000

                       MCMC iteration = 5526000

                       MCMC iteration = 5527000

                       MCMC iteration = 5528000

                       MCMC iteration = 5529000

                       MCMC iteration = 5530000

                       MCMC iteration = 5531000

                       MCMC iteration = 5532000

                       MCMC iteration = 5533000

                       MCMC iteration = 5534000

                       MCMC iteration = 5535000

                       MCMC iteration = 5536000

                       MCMC iteration = 5537000

                       MCMC iteration = 5538000

                       MCMC iteration = 5539000

                       MCMC iteration = 5540000

                       MCMC iteration = 5541000

                       MCMC iteration = 5542000

                       MCMC iteration = 5543000

                       MCMC iteration = 5544000

                       MCMC iteration = 5545000

                       MCMC iteration = 5546000

                       MCMC iteration = 5547000

                       MCMC iteration = 5548000

                       MCMC iteration = 5549000

                       MCMC iteration = 5550000

                       MCMC iteration = 5551000

                       MCMC iteration = 5552000

                       MCMC iteration = 5553000

                       MCMC iteration = 5554000

                       MCMC iteration = 5555000

                       MCMC iteration = 5556000

                       MCMC iteration = 5557000

                       MCMC iteration = 5558000

                       MCMC iteration = 5559000

                       MCMC iteration = 5560000

                       MCMC iteration = 5561000

                       MCMC iteration = 5562000

                       MCMC iteration = 5563000

                       MCMC iteration = 5564000

                       MCMC iteration = 5565000

                       MCMC iteration = 5566000

                       MCMC iteration = 5567000

                       MCMC iteration = 5568000

                       MCMC iteration = 5569000

                       MCMC iteration = 5570000

                       MCMC iteration = 5571000

                       MCMC iteration = 5572000

                       MCMC iteration = 5573000

                       MCMC iteration = 5574000

                       MCMC iteration = 5575000

                       MCMC iteration = 5576000

                       MCMC iteration = 5577000

                       MCMC iteration = 5578000

                       MCMC iteration = 5579000

                       MCMC iteration = 5580000

                       MCMC iteration = 5581000

                       MCMC iteration = 5582000

                       MCMC iteration = 5583000

                       MCMC iteration = 5584000

                       MCMC iteration = 5585000

                       MCMC iteration = 5586000

                       MCMC iteration = 5587000

                       MCMC iteration = 5588000

                       MCMC iteration = 5589000

                       MCMC iteration = 5590000

                       MCMC iteration = 5591000

                       MCMC iteration = 5592000

                       MCMC iteration = 5593000

                       MCMC iteration = 5594000

                       MCMC iteration = 5595000

                       MCMC iteration = 5596000

                       MCMC iteration = 5597000

                       MCMC iteration = 5598000

                       MCMC iteration = 5599000

                       MCMC iteration = 5600000

                       MCMC iteration = 5601000

                       MCMC iteration = 5602000

                       MCMC iteration = 5603000

                       MCMC iteration = 5604000

                       MCMC iteration = 5605000

                       MCMC iteration = 5606000

                       MCMC iteration = 5607000

                       MCMC iteration = 5608000

                       MCMC iteration = 5609000

                       MCMC iteration = 5610000

                       MCMC iteration = 5611000

                       MCMC iteration = 5612000

                       MCMC iteration = 5613000

                       MCMC iteration = 5614000

                       MCMC iteration = 5615000

                       MCMC iteration = 5616000

                       MCMC iteration = 5617000

                       MCMC iteration = 5618000

                       MCMC iteration = 5619000

                       MCMC iteration = 5620000

                       MCMC iteration = 5621000

                       MCMC iteration = 5622000

                       MCMC iteration = 5623000

                       MCMC iteration = 5624000

                       MCMC iteration = 5625000

                       MCMC iteration = 5626000

                       MCMC iteration = 5627000

                       MCMC iteration = 5628000

                       MCMC iteration = 5629000

                       MCMC iteration = 5630000

                       MCMC iteration = 5631000

                       MCMC iteration = 5632000

                       MCMC iteration = 5633000

                       MCMC iteration = 5634000

                       MCMC iteration = 5635000

                       MCMC iteration = 5636000

                       MCMC iteration = 5637000

                       MCMC iteration = 5638000

                       MCMC iteration = 5639000

                       MCMC iteration = 5640000

                       MCMC iteration = 5641000

                       MCMC iteration = 5642000

                       MCMC iteration = 5643000

                       MCMC iteration = 5644000

                       MCMC iteration = 5645000

                       MCMC iteration = 5646000

                       MCMC iteration = 5647000

                       MCMC iteration = 5648000

                       MCMC iteration = 5649000

                       MCMC iteration = 5650000

                       MCMC iteration = 5651000

                       MCMC iteration = 5652000

                       MCMC iteration = 5653000

                       MCMC iteration = 5654000

                       MCMC iteration = 5655000

                       MCMC iteration = 5656000

                       MCMC iteration = 5657000

                       MCMC iteration = 5658000

                       MCMC iteration = 5659000

                       MCMC iteration = 5660000

                       MCMC iteration = 5661000

                       MCMC iteration = 5662000

                       MCMC iteration = 5663000

                       MCMC iteration = 5664000

                       MCMC iteration = 5665000

                       MCMC iteration = 5666000

                       MCMC iteration = 5667000

                       MCMC iteration = 5668000

                       MCMC iteration = 5669000

                       MCMC iteration = 5670000

                       MCMC iteration = 5671000

                       MCMC iteration = 5672000

                       MCMC iteration = 5673000

                       MCMC iteration = 5674000

                       MCMC iteration = 5675000

                       MCMC iteration = 5676000

                       MCMC iteration = 5677000

                       MCMC iteration = 5678000

                       MCMC iteration = 5679000

                       MCMC iteration = 5680000

                       MCMC iteration = 5681000

                       MCMC iteration = 5682000

                       MCMC iteration = 5683000

                       MCMC iteration = 5684000

                       MCMC iteration = 5685000

                       MCMC iteration = 5686000

                       MCMC iteration = 5687000

                       MCMC iteration = 5688000

                       MCMC iteration = 5689000

                       MCMC iteration = 5690000

                       MCMC iteration = 5691000

                       MCMC iteration = 5692000

                       MCMC iteration = 5693000

                       MCMC iteration = 5694000

                       MCMC iteration = 5695000

                       MCMC iteration = 5696000

                       MCMC iteration = 5697000

                       MCMC iteration = 5698000

                       MCMC iteration = 5699000

                       MCMC iteration = 5700000

                       MCMC iteration = 5701000

                       MCMC iteration = 5702000

                       MCMC iteration = 5703000

                       MCMC iteration = 5704000

                       MCMC iteration = 5705000

                       MCMC iteration = 5706000

                       MCMC iteration = 5707000

                       MCMC iteration = 5708000

                       MCMC iteration = 5709000

                       MCMC iteration = 5710000

                       MCMC iteration = 5711000

                       MCMC iteration = 5712000

                       MCMC iteration = 5713000

                       MCMC iteration = 5714000

                       MCMC iteration = 5715000

                       MCMC iteration = 5716000

                       MCMC iteration = 5717000

                       MCMC iteration = 5718000

                       MCMC iteration = 5719000

                       MCMC iteration = 5720000

                       MCMC iteration = 5721000

                       MCMC iteration = 5722000

                       MCMC iteration = 5723000

                       MCMC iteration = 5724000

                       MCMC iteration = 5725000

                       MCMC iteration = 5726000

                       MCMC iteration = 5727000

                       MCMC iteration = 5728000

                       MCMC iteration = 5729000

                       MCMC iteration = 5730000

                       MCMC iteration = 5731000

                       MCMC iteration = 5732000

                       MCMC iteration = 5733000

                       MCMC iteration = 5734000

                       MCMC iteration = 5735000

                       MCMC iteration = 5736000

                       MCMC iteration = 5737000

                       MCMC iteration = 5738000

                       MCMC iteration = 5739000

                       MCMC iteration = 5740000

                       MCMC iteration = 5741000

                       MCMC iteration = 5742000

                       MCMC iteration = 5743000

                       MCMC iteration = 5744000

                       MCMC iteration = 5745000

                       MCMC iteration = 5746000

                       MCMC iteration = 5747000

                       MCMC iteration = 5748000

                       MCMC iteration = 5749000

                       MCMC iteration = 5750000

                       MCMC iteration = 5751000

                       MCMC iteration = 5752000

                       MCMC iteration = 5753000

                       MCMC iteration = 5754000

                       MCMC iteration = 5755000

                       MCMC iteration = 5756000

                       MCMC iteration = 5757000

                       MCMC iteration = 5758000

                       MCMC iteration = 5759000

                       MCMC iteration = 5760000

                       MCMC iteration = 5761000

                       MCMC iteration = 5762000

                       MCMC iteration = 5763000

                       MCMC iteration = 5764000

                       MCMC iteration = 5765000

                       MCMC iteration = 5766000

                       MCMC iteration = 5767000

                       MCMC iteration = 5768000

                       MCMC iteration = 5769000

                       MCMC iteration = 5770000

                       MCMC iteration = 5771000

                       MCMC iteration = 5772000

                       MCMC iteration = 5773000

                       MCMC iteration = 5774000

                       MCMC iteration = 5775000

                       MCMC iteration = 5776000

                       MCMC iteration = 5777000

                       MCMC iteration = 5778000

                       MCMC iteration = 5779000

                       MCMC iteration = 5780000

                       MCMC iteration = 5781000

                       MCMC iteration = 5782000

                       MCMC iteration = 5783000

                       MCMC iteration = 5784000

                       MCMC iteration = 5785000

                       MCMC iteration = 5786000

                       MCMC iteration = 5787000

                       MCMC iteration = 5788000

                       MCMC iteration = 5789000

                       MCMC iteration = 5790000

                       MCMC iteration = 5791000

                       MCMC iteration = 5792000

                       MCMC iteration = 5793000

                       MCMC iteration = 5794000

                       MCMC iteration = 5795000

                       MCMC iteration = 5796000

                       MCMC iteration = 5797000

                       MCMC iteration = 5798000

                       MCMC iteration = 5799000

                       MCMC iteration = 5800000

                       MCMC iteration = 5801000

                       MCMC iteration = 5802000

                       MCMC iteration = 5803000

                       MCMC iteration = 5804000

                       MCMC iteration = 5805000

                       MCMC iteration = 5806000

                       MCMC iteration = 5807000

                       MCMC iteration = 5808000

                       MCMC iteration = 5809000

                       MCMC iteration = 5810000

                       MCMC iteration = 5811000

                       MCMC iteration = 5812000

                       MCMC iteration = 5813000

                       MCMC iteration = 5814000

                       MCMC iteration = 5815000

                       MCMC iteration = 5816000

                       MCMC iteration = 5817000

                       MCMC iteration = 5818000

                       MCMC iteration = 5819000

                       MCMC iteration = 5820000

                       MCMC iteration = 5821000

                       MCMC iteration = 5822000

                       MCMC iteration = 5823000

                       MCMC iteration = 5824000

                       MCMC iteration = 5825000

                       MCMC iteration = 5826000

                       MCMC iteration = 5827000

                       MCMC iteration = 5828000

                       MCMC iteration = 5829000

                       MCMC iteration = 5830000

                       MCMC iteration = 5831000

                       MCMC iteration = 5832000

                       MCMC iteration = 5833000

                       MCMC iteration = 5834000

                       MCMC iteration = 5835000

                       MCMC iteration = 5836000

                       MCMC iteration = 5837000

                       MCMC iteration = 5838000

                       MCMC iteration = 5839000

                       MCMC iteration = 5840000

                       MCMC iteration = 5841000

                       MCMC iteration = 5842000

                       MCMC iteration = 5843000

                       MCMC iteration = 5844000

                       MCMC iteration = 5845000

                       MCMC iteration = 5846000

                       MCMC iteration = 5847000

                       MCMC iteration = 5848000

                       MCMC iteration = 5849000

                       MCMC iteration = 5850000

                       MCMC iteration = 5851000

                       MCMC iteration = 5852000

                       MCMC iteration = 5853000

                       MCMC iteration = 5854000

                       MCMC iteration = 5855000

                       MCMC iteration = 5856000

                       MCMC iteration = 5857000

                       MCMC iteration = 5858000

                       MCMC iteration = 5859000

                       MCMC iteration = 5860000

                       MCMC iteration = 5861000

                       MCMC iteration = 5862000

                       MCMC iteration = 5863000

                       MCMC iteration = 5864000

                       MCMC iteration = 5865000

                       MCMC iteration = 5866000

                       MCMC iteration = 5867000

                       MCMC iteration = 5868000

                       MCMC iteration = 5869000

                       MCMC iteration = 5870000

                       MCMC iteration = 5871000

                       MCMC iteration = 5872000

                       MCMC iteration = 5873000

                       MCMC iteration = 5874000

                       MCMC iteration = 5875000

                       MCMC iteration = 5876000

                       MCMC iteration = 5877000

                       MCMC iteration = 5878000

                       MCMC iteration = 5879000

                       MCMC iteration = 5880000

                       MCMC iteration = 5881000

                       MCMC iteration = 5882000

                       MCMC iteration = 5883000

                       MCMC iteration = 5884000

                       MCMC iteration = 5885000

                       MCMC iteration = 5886000

                       MCMC iteration = 5887000

                       MCMC iteration = 5888000

                       MCMC iteration = 5889000

                       MCMC iteration = 5890000

                       MCMC iteration = 5891000

                       MCMC iteration = 5892000

                       MCMC iteration = 5893000

                       MCMC iteration = 5894000

                       MCMC iteration = 5895000

                       MCMC iteration = 5896000

                       MCMC iteration = 5897000

                       MCMC iteration = 5898000

                       MCMC iteration = 5899000

                       MCMC iteration = 5900000

                       MCMC iteration = 5901000

                       MCMC iteration = 5902000

                       MCMC iteration = 5903000

                       MCMC iteration = 5904000

                       MCMC iteration = 5905000

                       MCMC iteration = 5906000

                       MCMC iteration = 5907000

                       MCMC iteration = 5908000

                       MCMC iteration = 5909000

                       MCMC iteration = 5910000

                       MCMC iteration = 5911000

                       MCMC iteration = 5912000

                       MCMC iteration = 5913000

                       MCMC iteration = 5914000

                       MCMC iteration = 5915000

                       MCMC iteration = 5916000

                       MCMC iteration = 5917000

                       MCMC iteration = 5918000

                       MCMC iteration = 5919000

                       MCMC iteration = 5920000

                       MCMC iteration = 5921000

                       MCMC iteration = 5922000

                       MCMC iteration = 5923000

                       MCMC iteration = 5924000

                       MCMC iteration = 5925000

                       MCMC iteration = 5926000

                       MCMC iteration = 5927000

                       MCMC iteration = 5928000

                       MCMC iteration = 5929000

                       MCMC iteration = 5930000

                       MCMC iteration = 5931000

                       MCMC iteration = 5932000

                       MCMC iteration = 5933000

                       MCMC iteration = 5934000

                       MCMC iteration = 5935000

                       MCMC iteration = 5936000

                       MCMC iteration = 5937000

                       MCMC iteration = 5938000

                       MCMC iteration = 5939000

                       MCMC iteration = 5940000

                       MCMC iteration = 5941000

                       MCMC iteration = 5942000

                       MCMC iteration = 5943000

                       MCMC iteration = 5944000

                       MCMC iteration = 5945000

                       MCMC iteration = 5946000

                       MCMC iteration = 5947000

                       MCMC iteration = 5948000

                       MCMC iteration = 5949000

                       MCMC iteration = 5950000

                       MCMC iteration = 5951000

                       MCMC iteration = 5952000

                       MCMC iteration = 5953000

                       MCMC iteration = 5954000

                       MCMC iteration = 5955000

                       MCMC iteration = 5956000

                       MCMC iteration = 5957000

                       MCMC iteration = 5958000

                       MCMC iteration = 5959000

                       MCMC iteration = 5960000

                       MCMC iteration = 5961000

                       MCMC iteration = 5962000

                       MCMC iteration = 5963000

                       MCMC iteration = 5964000

                       MCMC iteration = 5965000

                       MCMC iteration = 5966000

                       MCMC iteration = 5967000

                       MCMC iteration = 5968000

                       MCMC iteration = 5969000

                       MCMC iteration = 5970000

                       MCMC iteration = 5971000

                       MCMC iteration = 5972000

                       MCMC iteration = 5973000

                       MCMC iteration = 5974000

                       MCMC iteration = 5975000

                       MCMC iteration = 5976000

                       MCMC iteration = 5977000

                       MCMC iteration = 5978000

                       MCMC iteration = 5979000

                       MCMC iteration = 5980000

                       MCMC iteration = 5981000

                       MCMC iteration = 5982000

                       MCMC iteration = 5983000

                       MCMC iteration = 5984000

                       MCMC iteration = 5985000

                       MCMC iteration = 5986000

                       MCMC iteration = 5987000

                       MCMC iteration = 5988000

                       MCMC iteration = 5989000

                       MCMC iteration = 5990000

                       MCMC iteration = 5991000

                       MCMC iteration = 5992000

                       MCMC iteration = 5993000

                       MCMC iteration = 5994000

                       MCMC iteration = 5995000

                       MCMC iteration = 5996000

                       MCMC iteration = 5997000

                       MCMC iteration = 5998000

                       MCMC iteration = 5999000

                       MCMC iteration = 6000000

                       MCMC iteration = 6001000

                       MCMC iteration = 6002000

                       MCMC iteration = 6003000

                       MCMC iteration = 6004000

                       MCMC iteration = 6005000

                       MCMC iteration = 6006000

                       MCMC iteration = 6007000

                       MCMC iteration = 6008000

                       MCMC iteration = 6009000

                       MCMC iteration = 6010000

                       MCMC iteration = 6011000

                       MCMC iteration = 6012000

                       MCMC iteration = 6013000

                       MCMC iteration = 6014000

                       MCMC iteration = 6015000

                       MCMC iteration = 6016000

                       MCMC iteration = 6017000

                       MCMC iteration = 6018000

                       MCMC iteration = 6019000

                       MCMC iteration = 6020000

                       MCMC iteration = 6021000

                       MCMC iteration = 6022000

                       MCMC iteration = 6023000

                       MCMC iteration = 6024000

                       MCMC iteration = 6025000

                       MCMC iteration = 6026000

                       MCMC iteration = 6027000

                       MCMC iteration = 6028000

                       MCMC iteration = 6029000

                       MCMC iteration = 6030000

                       MCMC iteration = 6031000

                       MCMC iteration = 6032000

                       MCMC iteration = 6033000

                       MCMC iteration = 6034000

                       MCMC iteration = 6035000

                       MCMC iteration = 6036000

                       MCMC iteration = 6037000

                       MCMC iteration = 6038000

                       MCMC iteration = 6039000

                       MCMC iteration = 6040000

                       MCMC iteration = 6041000

                       MCMC iteration = 6042000

                       MCMC iteration = 6043000

                       MCMC iteration = 6044000

                       MCMC iteration = 6045000

                       MCMC iteration = 6046000

                       MCMC iteration = 6047000

                       MCMC iteration = 6048000

                       MCMC iteration = 6049000

                       MCMC iteration = 6050000

                       MCMC iteration = 6051000

                       MCMC iteration = 6052000

                       MCMC iteration = 6053000

                       MCMC iteration = 6054000

                       MCMC iteration = 6055000

                       MCMC iteration = 6056000

                       MCMC iteration = 6057000

                       MCMC iteration = 6058000

                       MCMC iteration = 6059000

                       MCMC iteration = 6060000

                       MCMC iteration = 6061000

                       MCMC iteration = 6062000

                       MCMC iteration = 6063000

                       MCMC iteration = 6064000

                       MCMC iteration = 6065000

                       MCMC iteration = 6066000

                       MCMC iteration = 6067000

                       MCMC iteration = 6068000

                       MCMC iteration = 6069000

                       MCMC iteration = 6070000

                       MCMC iteration = 6071000

                       MCMC iteration = 6072000

                       MCMC iteration = 6073000

                       MCMC iteration = 6074000

                       MCMC iteration = 6075000

                       MCMC iteration = 6076000

                       MCMC iteration = 6077000

                       MCMC iteration = 6078000

                       MCMC iteration = 6079000

                       MCMC iteration = 6080000

                       MCMC iteration = 6081000

                       MCMC iteration = 6082000

                       MCMC iteration = 6083000

                       MCMC iteration = 6084000

                       MCMC iteration = 6085000

                       MCMC iteration = 6086000

                       MCMC iteration = 6087000

                       MCMC iteration = 6088000

                       MCMC iteration = 6089000

                       MCMC iteration = 6090000

                       MCMC iteration = 6091000

                       MCMC iteration = 6092000

                       MCMC iteration = 6093000

                       MCMC iteration = 6094000

                       MCMC iteration = 6095000

                       MCMC iteration = 6096000

                       MCMC iteration = 6097000

                       MCMC iteration = 6098000

                       MCMC iteration = 6099000

                       MCMC iteration = 6100000

                       MCMC iteration = 6101000

                       MCMC iteration = 6102000

                       MCMC iteration = 6103000

                       MCMC iteration = 6104000

                       MCMC iteration = 6105000

                       MCMC iteration = 6106000

                       MCMC iteration = 6107000

                       MCMC iteration = 6108000

                       MCMC iteration = 6109000

                       MCMC iteration = 6110000

                       MCMC iteration = 6111000

                       MCMC iteration = 6112000

                       MCMC iteration = 6113000

                       MCMC iteration = 6114000

                       MCMC iteration = 6115000

                       MCMC iteration = 6116000

                       MCMC iteration = 6117000

                       MCMC iteration = 6118000

                       MCMC iteration = 6119000

                       MCMC iteration = 6120000

                       MCMC iteration = 6121000

                       MCMC iteration = 6122000

                       MCMC iteration = 6123000

                       MCMC iteration = 6124000

                       MCMC iteration = 6125000

                       MCMC iteration = 6126000

                       MCMC iteration = 6127000

                       MCMC iteration = 6128000

                       MCMC iteration = 6129000

                       MCMC iteration = 6130000

                       MCMC iteration = 6131000

                       MCMC iteration = 6132000

                       MCMC iteration = 6133000

                       MCMC iteration = 6134000

                       MCMC iteration = 6135000

                       MCMC iteration = 6136000

                       MCMC iteration = 6137000

                       MCMC iteration = 6138000

                       MCMC iteration = 6139000

                       MCMC iteration = 6140000

                       MCMC iteration = 6141000

                       MCMC iteration = 6142000

                       MCMC iteration = 6143000

                       MCMC iteration = 6144000

                       MCMC iteration = 6145000

                       MCMC iteration = 6146000

                       MCMC iteration = 6147000

                       MCMC iteration = 6148000

                       MCMC iteration = 6149000

                       MCMC iteration = 6150000

                       MCMC iteration = 6151000

                       MCMC iteration = 6152000

                       MCMC iteration = 6153000

                       MCMC iteration = 6154000

                       MCMC iteration = 6155000

                       MCMC iteration = 6156000

                       MCMC iteration = 6157000

                       MCMC iteration = 6158000

                       MCMC iteration = 6159000

                       MCMC iteration = 6160000

                       MCMC iteration = 6161000

                       MCMC iteration = 6162000

                       MCMC iteration = 6163000

                       MCMC iteration = 6164000

                       MCMC iteration = 6165000

                       MCMC iteration = 6166000

                       MCMC iteration = 6167000

                       MCMC iteration = 6168000

                       MCMC iteration = 6169000

                       MCMC iteration = 6170000

                       MCMC iteration = 6171000

                       MCMC iteration = 6172000

                       MCMC iteration = 6173000

                       MCMC iteration = 6174000

                       MCMC iteration = 6175000

                       MCMC iteration = 6176000

                       MCMC iteration = 6177000

                       MCMC iteration = 6178000

                       MCMC iteration = 6179000

                       MCMC iteration = 6180000

                       MCMC iteration = 6181000

                       MCMC iteration = 6182000

                       MCMC iteration = 6183000

                       MCMC iteration = 6184000

                       MCMC iteration = 6185000

                       MCMC iteration = 6186000

                       MCMC iteration = 6187000

                       MCMC iteration = 6188000

                       MCMC iteration = 6189000

                       MCMC iteration = 6190000

                       MCMC iteration = 6191000

                       MCMC iteration = 6192000

                       MCMC iteration = 6193000

                       MCMC iteration = 6194000

                       MCMC iteration = 6195000

                       MCMC iteration = 6196000

                       MCMC iteration = 6197000

                       MCMC iteration = 6198000

                       MCMC iteration = 6199000

                       MCMC iteration = 6200000

                       MCMC iteration = 6201000

                       MCMC iteration = 6202000

                       MCMC iteration = 6203000

                       MCMC iteration = 6204000

                       MCMC iteration = 6205000

                       MCMC iteration = 6206000

                       MCMC iteration = 6207000

                       MCMC iteration = 6208000

                       MCMC iteration = 6209000

                       MCMC iteration = 6210000

                       MCMC iteration = 6211000

                       MCMC iteration = 6212000

                       MCMC iteration = 6213000

                       MCMC iteration = 6214000

                       MCMC iteration = 6215000

                       MCMC iteration = 6216000

                       MCMC iteration = 6217000

                       MCMC iteration = 6218000

                       MCMC iteration = 6219000

                       MCMC iteration = 6220000

                       MCMC iteration = 6221000

                       MCMC iteration = 6222000

                       MCMC iteration = 6223000

                       MCMC iteration = 6224000

                       MCMC iteration = 6225000

                       MCMC iteration = 6226000

                       MCMC iteration = 6227000

                       MCMC iteration = 6228000

                       MCMC iteration = 6229000

                       MCMC iteration = 6230000

                       MCMC iteration = 6231000

                       MCMC iteration = 6232000

                       MCMC iteration = 6233000

                       MCMC iteration = 6234000

                       MCMC iteration = 6235000

                       MCMC iteration = 6236000

                       MCMC iteration = 6237000

                       MCMC iteration = 6238000

                       MCMC iteration = 6239000

                       MCMC iteration = 6240000

                       MCMC iteration = 6241000

                       MCMC iteration = 6242000

                       MCMC iteration = 6243000

                       MCMC iteration = 6244000

                       MCMC iteration = 6245000

                       MCMC iteration = 6246000

                       MCMC iteration = 6247000

                       MCMC iteration = 6248000

                       MCMC iteration = 6249000

                       MCMC iteration = 6250000

                       MCMC iteration = 6251000

                       MCMC iteration = 6252000

                       MCMC iteration = 6253000

                       MCMC iteration = 6254000

                       MCMC iteration = 6255000

                       MCMC iteration = 6256000

                       MCMC iteration = 6257000

                       MCMC iteration = 6258000

                       MCMC iteration = 6259000

                       MCMC iteration = 6260000

                       MCMC iteration = 6261000

                       MCMC iteration = 6262000

                       MCMC iteration = 6263000

                       MCMC iteration = 6264000

                       MCMC iteration = 6265000

                       MCMC iteration = 6266000

                       MCMC iteration = 6267000

                       MCMC iteration = 6268000

                       MCMC iteration = 6269000

                       MCMC iteration = 6270000

                       MCMC iteration = 6271000

                       MCMC iteration = 6272000

                       MCMC iteration = 6273000

                       MCMC iteration = 6274000

                       MCMC iteration = 6275000

                       MCMC iteration = 6276000

                       MCMC iteration = 6277000

                       MCMC iteration = 6278000

                       MCMC iteration = 6279000

                       MCMC iteration = 6280000

                       MCMC iteration = 6281000

                       MCMC iteration = 6282000

                       MCMC iteration = 6283000

                       MCMC iteration = 6284000

                       MCMC iteration = 6285000

                       MCMC iteration = 6286000

                       MCMC iteration = 6287000

                       MCMC iteration = 6288000

                       MCMC iteration = 6289000

                       MCMC iteration = 6290000

                       MCMC iteration = 6291000

                       MCMC iteration = 6292000

                       MCMC iteration = 6293000

                       MCMC iteration = 6294000

                       MCMC iteration = 6295000

                       MCMC iteration = 6296000

                       MCMC iteration = 6297000

                       MCMC iteration = 6298000

                       MCMC iteration = 6299000

                       MCMC iteration = 6300000

                       MCMC iteration = 6301000

                       MCMC iteration = 6302000

                       MCMC iteration = 6303000

                       MCMC iteration = 6304000

                       MCMC iteration = 6305000

                       MCMC iteration = 6306000

                       MCMC iteration = 6307000

                       MCMC iteration = 6308000

                       MCMC iteration = 6309000

                       MCMC iteration = 6310000

                       MCMC iteration = 6311000

                       MCMC iteration = 6312000

                       MCMC iteration = 6313000

                       MCMC iteration = 6314000

                       MCMC iteration = 6315000

                       MCMC iteration = 6316000

                       MCMC iteration = 6317000

                       MCMC iteration = 6318000

                       MCMC iteration = 6319000

                       MCMC iteration = 6320000

                       MCMC iteration = 6321000

                       MCMC iteration = 6322000

                       MCMC iteration = 6323000

                       MCMC iteration = 6324000

                       MCMC iteration = 6325000

                       MCMC iteration = 6326000

                       MCMC iteration = 6327000

                       MCMC iteration = 6328000

                       MCMC iteration = 6329000

                       MCMC iteration = 6330000

                       MCMC iteration = 6331000

                       MCMC iteration = 6332000

                       MCMC iteration = 6333000

                       MCMC iteration = 6334000

                       MCMC iteration = 6335000

                       MCMC iteration = 6336000

                       MCMC iteration = 6337000

                       MCMC iteration = 6338000

                       MCMC iteration = 6339000

                       MCMC iteration = 6340000

                       MCMC iteration = 6341000

                       MCMC iteration = 6342000

                       MCMC iteration = 6343000

                       MCMC iteration = 6344000

                       MCMC iteration = 6345000

                       MCMC iteration = 6346000

                       MCMC iteration = 6347000

                       MCMC iteration = 6348000

                       MCMC iteration = 6349000

                       MCMC iteration = 6350000

                       MCMC iteration = 6351000

                       MCMC iteration = 6352000

                       MCMC iteration = 6353000

                       MCMC iteration = 6354000

                       MCMC iteration = 6355000

                       MCMC iteration = 6356000

                       MCMC iteration = 6357000

                       MCMC iteration = 6358000

                       MCMC iteration = 6359000

                       MCMC iteration = 6360000

                       MCMC iteration = 6361000

                       MCMC iteration = 6362000

                       MCMC iteration = 6363000

                       MCMC iteration = 6364000

                       MCMC iteration = 6365000

                       MCMC iteration = 6366000

                       MCMC iteration = 6367000

                       MCMC iteration = 6368000

                       MCMC iteration = 6369000

                       MCMC iteration = 6370000

                       MCMC iteration = 6371000

                       MCMC iteration = 6372000

                       MCMC iteration = 6373000

                       MCMC iteration = 6374000

                       MCMC iteration = 6375000

                       MCMC iteration = 6376000

                       MCMC iteration = 6377000

                       MCMC iteration = 6378000

                       MCMC iteration = 6379000

                       MCMC iteration = 6380000

                       MCMC iteration = 6381000

                       MCMC iteration = 6382000

                       MCMC iteration = 6383000

                       MCMC iteration = 6384000

                       MCMC iteration = 6385000

                       MCMC iteration = 6386000

                       MCMC iteration = 6387000

                       MCMC iteration = 6388000

                       MCMC iteration = 6389000

                       MCMC iteration = 6390000

                       MCMC iteration = 6391000

                       MCMC iteration = 6392000

                       MCMC iteration = 6393000

                       MCMC iteration = 6394000

                       MCMC iteration = 6395000

                       MCMC iteration = 6396000

                       MCMC iteration = 6397000

                       MCMC iteration = 6398000

                       MCMC iteration = 6399000

                       MCMC iteration = 6400000

                       MCMC iteration = 6401000

                       MCMC iteration = 6402000

                       MCMC iteration = 6403000

                       MCMC iteration = 6404000

                       MCMC iteration = 6405000

                       MCMC iteration = 6406000

                       MCMC iteration = 6407000

                       MCMC iteration = 6408000

                       MCMC iteration = 6409000

                       MCMC iteration = 6410000

                       MCMC iteration = 6411000

                       MCMC iteration = 6412000

                       MCMC iteration = 6413000

                       MCMC iteration = 6414000

                       MCMC iteration = 6415000

                       MCMC iteration = 6416000

                       MCMC iteration = 6417000

                       MCMC iteration = 6418000

                       MCMC iteration = 6419000

                       MCMC iteration = 6420000

                       MCMC iteration = 6421000

                       MCMC iteration = 6422000

                       MCMC iteration = 6423000

                       MCMC iteration = 6424000

                       MCMC iteration = 6425000

                       MCMC iteration = 6426000

                       MCMC iteration = 6427000

                       MCMC iteration = 6428000

                       MCMC iteration = 6429000

                       MCMC iteration = 6430000

                       MCMC iteration = 6431000

                       MCMC iteration = 6432000

                       MCMC iteration = 6433000

                       MCMC iteration = 6434000

                       MCMC iteration = 6435000

                       MCMC iteration = 6436000

                       MCMC iteration = 6437000

                       MCMC iteration = 6438000

                       MCMC iteration = 6439000

                       MCMC iteration = 6440000

                       MCMC iteration = 6441000

                       MCMC iteration = 6442000

                       MCMC iteration = 6443000

                       MCMC iteration = 6444000

                       MCMC iteration = 6445000

                       MCMC iteration = 6446000

                       MCMC iteration = 6447000

                       MCMC iteration = 6448000

                       MCMC iteration = 6449000

                       MCMC iteration = 6450000

                       MCMC iteration = 6451000

                       MCMC iteration = 6452000

                       MCMC iteration = 6453000

                       MCMC iteration = 6454000

                       MCMC iteration = 6455000

                       MCMC iteration = 6456000

                       MCMC iteration = 6457000

                       MCMC iteration = 6458000

                       MCMC iteration = 6459000

                       MCMC iteration = 6460000

                       MCMC iteration = 6461000

                       MCMC iteration = 6462000

                       MCMC iteration = 6463000

                       MCMC iteration = 6464000

                       MCMC iteration = 6465000

                       MCMC iteration = 6466000

                       MCMC iteration = 6467000

                       MCMC iteration = 6468000

                       MCMC iteration = 6469000

                       MCMC iteration = 6470000

                       MCMC iteration = 6471000

                       MCMC iteration = 6472000

                       MCMC iteration = 6473000

                       MCMC iteration = 6474000

                       MCMC iteration = 6475000

                       MCMC iteration = 6476000

                       MCMC iteration = 6477000

                       MCMC iteration = 6478000

                       MCMC iteration = 6479000

                       MCMC iteration = 6480000

                       MCMC iteration = 6481000

                       MCMC iteration = 6482000

                       MCMC iteration = 6483000

                       MCMC iteration = 6484000

                       MCMC iteration = 6485000

                       MCMC iteration = 6486000

                       MCMC iteration = 6487000

                       MCMC iteration = 6488000

                       MCMC iteration = 6489000

                       MCMC iteration = 6490000

                       MCMC iteration = 6491000

                       MCMC iteration = 6492000

                       MCMC iteration = 6493000

                       MCMC iteration = 6494000

                       MCMC iteration = 6495000

                       MCMC iteration = 6496000

                       MCMC iteration = 6497000

                       MCMC iteration = 6498000

                       MCMC iteration = 6499000

                       MCMC iteration = 6500000

                       MCMC iteration = 6501000

                       MCMC iteration = 6502000

                       MCMC iteration = 6503000

                       MCMC iteration = 6504000

                       MCMC iteration = 6505000

                       MCMC iteration = 6506000

                       MCMC iteration = 6507000

                       MCMC iteration = 6508000

                       MCMC iteration = 6509000

                       MCMC iteration = 6510000

                       MCMC iteration = 6511000

                       MCMC iteration = 6512000

                       MCMC iteration = 6513000

                       MCMC iteration = 6514000

                       MCMC iteration = 6515000

                       MCMC iteration = 6516000

                       MCMC iteration = 6517000

                       MCMC iteration = 6518000

                       MCMC iteration = 6519000

                       MCMC iteration = 6520000

                       MCMC iteration = 6521000

                       MCMC iteration = 6522000

                       MCMC iteration = 6523000

                       MCMC iteration = 6524000

                       MCMC iteration = 6525000

                       MCMC iteration = 6526000

                       MCMC iteration = 6527000

                       MCMC iteration = 6528000

                       MCMC iteration = 6529000

                       MCMC iteration = 6530000

                       MCMC iteration = 6531000

                       MCMC iteration = 6532000

                       MCMC iteration = 6533000

                       MCMC iteration = 6534000

                       MCMC iteration = 6535000

                       MCMC iteration = 6536000

                       MCMC iteration = 6537000

                       MCMC iteration = 6538000

                       MCMC iteration = 6539000

                       MCMC iteration = 6540000

                       MCMC iteration = 6541000

                       MCMC iteration = 6542000

                       MCMC iteration = 6543000

                       MCMC iteration = 6544000

                       MCMC iteration = 6545000

                       MCMC iteration = 6546000

                       MCMC iteration = 6547000

                       MCMC iteration = 6548000

                       MCMC iteration = 6549000

                       MCMC iteration = 6550000

                       MCMC iteration = 6551000

                       MCMC iteration = 6552000

                       MCMC iteration = 6553000

                       MCMC iteration = 6554000

                       MCMC iteration = 6555000

                       MCMC iteration = 6556000

                       MCMC iteration = 6557000

                       MCMC iteration = 6558000

                       MCMC iteration = 6559000

                       MCMC iteration = 6560000

                       MCMC iteration = 6561000

                       MCMC iteration = 6562000

                       MCMC iteration = 6563000

                       MCMC iteration = 6564000

                       MCMC iteration = 6565000

                       MCMC iteration = 6566000

                       MCMC iteration = 6567000

                       MCMC iteration = 6568000

                       MCMC iteration = 6569000

                       MCMC iteration = 6570000

                       MCMC iteration = 6571000

                       MCMC iteration = 6572000

                       MCMC iteration = 6573000

                       MCMC iteration = 6574000

                       MCMC iteration = 6575000

                       MCMC iteration = 6576000

                       MCMC iteration = 6577000

                       MCMC iteration = 6578000

                       MCMC iteration = 6579000

                       MCMC iteration = 6580000

                       MCMC iteration = 6581000

                       MCMC iteration = 6582000

                       MCMC iteration = 6583000

                       MCMC iteration = 6584000

                       MCMC iteration = 6585000

                       MCMC iteration = 6586000

                       MCMC iteration = 6587000

                       MCMC iteration = 6588000

                       MCMC iteration = 6589000

                       MCMC iteration = 6590000

                       MCMC iteration = 6591000

                       MCMC iteration = 6592000

                       MCMC iteration = 6593000

                       MCMC iteration = 6594000

                       MCMC iteration = 6595000

                       MCMC iteration = 6596000

                       MCMC iteration = 6597000

                       MCMC iteration = 6598000

                       MCMC iteration = 6599000

                       MCMC iteration = 6600000

                       MCMC iteration = 6601000

                       MCMC iteration = 6602000

                       MCMC iteration = 6603000

                       MCMC iteration = 6604000

                       MCMC iteration = 6605000

                       MCMC iteration = 6606000

                       MCMC iteration = 6607000

                       MCMC iteration = 6608000

                       MCMC iteration = 6609000

                       MCMC iteration = 6610000

                       MCMC iteration = 6611000

                       MCMC iteration = 6612000

                       MCMC iteration = 6613000

                       MCMC iteration = 6614000

                       MCMC iteration = 6615000

                       MCMC iteration = 6616000

                       MCMC iteration = 6617000

                       MCMC iteration = 6618000

                       MCMC iteration = 6619000

                       MCMC iteration = 6620000

                       MCMC iteration = 6621000

                       MCMC iteration = 6622000

                       MCMC iteration = 6623000

                       MCMC iteration = 6624000

                       MCMC iteration = 6625000

                       MCMC iteration = 6626000

                       MCMC iteration = 6627000

                       MCMC iteration = 6628000

                       MCMC iteration = 6629000

                       MCMC iteration = 6630000

                       MCMC iteration = 6631000

                       MCMC iteration = 6632000

                       MCMC iteration = 6633000

                       MCMC iteration = 6634000

                       MCMC iteration = 6635000

                       MCMC iteration = 6636000

                       MCMC iteration = 6637000

                       MCMC iteration = 6638000

                       MCMC iteration = 6639000

                       MCMC iteration = 6640000

                       MCMC iteration = 6641000

                       MCMC iteration = 6642000

                       MCMC iteration = 6643000

                       MCMC iteration = 6644000

                       MCMC iteration = 6645000

                       MCMC iteration = 6646000

                       MCMC iteration = 6647000

                       MCMC iteration = 6648000

                       MCMC iteration = 6649000

                       MCMC iteration = 6650000

                       MCMC iteration = 6651000

                       MCMC iteration = 6652000

                       MCMC iteration = 6653000

                       MCMC iteration = 6654000

                       MCMC iteration = 6655000

                       MCMC iteration = 6656000

                       MCMC iteration = 6657000

                       MCMC iteration = 6658000

                       MCMC iteration = 6659000

                       MCMC iteration = 6660000

                       MCMC iteration = 6661000

                       MCMC iteration = 6662000

                       MCMC iteration = 6663000

                       MCMC iteration = 6664000

                       MCMC iteration = 6665000

                       MCMC iteration = 6666000

                       MCMC iteration = 6667000

                       MCMC iteration = 6668000

                       MCMC iteration = 6669000

                       MCMC iteration = 6670000

                       MCMC iteration = 6671000

                       MCMC iteration = 6672000

                       MCMC iteration = 6673000

                       MCMC iteration = 6674000

                       MCMC iteration = 6675000

                       MCMC iteration = 6676000

                       MCMC iteration = 6677000

                       MCMC iteration = 6678000

                       MCMC iteration = 6679000

                       MCMC iteration = 6680000

                       MCMC iteration = 6681000

                       MCMC iteration = 6682000

                       MCMC iteration = 6683000

                       MCMC iteration = 6684000

                       MCMC iteration = 6685000

                       MCMC iteration = 6686000

                       MCMC iteration = 6687000

                       MCMC iteration = 6688000

                       MCMC iteration = 6689000

                       MCMC iteration = 6690000

                       MCMC iteration = 6691000

                       MCMC iteration = 6692000

                       MCMC iteration = 6693000

                       MCMC iteration = 6694000

                       MCMC iteration = 6695000

                       MCMC iteration = 6696000

                       MCMC iteration = 6697000

                       MCMC iteration = 6698000

                       MCMC iteration = 6699000

                       MCMC iteration = 6700000

                       MCMC iteration = 6701000

                       MCMC iteration = 6702000

                       MCMC iteration = 6703000

                       MCMC iteration = 6704000

                       MCMC iteration = 6705000

                       MCMC iteration = 6706000

                       MCMC iteration = 6707000

                       MCMC iteration = 6708000

                       MCMC iteration = 6709000

                       MCMC iteration = 6710000

                       MCMC iteration = 6711000

                       MCMC iteration = 6712000

                       MCMC iteration = 6713000

                       MCMC iteration = 6714000

                       MCMC iteration = 6715000

                       MCMC iteration = 6716000

                       MCMC iteration = 6717000

                       MCMC iteration = 6718000

                       MCMC iteration = 6719000

                       MCMC iteration = 6720000

                       MCMC iteration = 6721000

                       MCMC iteration = 6722000

                       MCMC iteration = 6723000

                       MCMC iteration = 6724000

                       MCMC iteration = 6725000

                       MCMC iteration = 6726000

                       MCMC iteration = 6727000

                       MCMC iteration = 6728000

                       MCMC iteration = 6729000

                       MCMC iteration = 6730000

                       MCMC iteration = 6731000

                       MCMC iteration = 6732000

                       MCMC iteration = 6733000

                       MCMC iteration = 6734000

                       MCMC iteration = 6735000

                       MCMC iteration = 6736000

                       MCMC iteration = 6737000

                       MCMC iteration = 6738000

                       MCMC iteration = 6739000

                       MCMC iteration = 6740000

                       MCMC iteration = 6741000

                       MCMC iteration = 6742000

                       MCMC iteration = 6743000

                       MCMC iteration = 6744000

                       MCMC iteration = 6745000

                       MCMC iteration = 6746000

                       MCMC iteration = 6747000

                       MCMC iteration = 6748000

                       MCMC iteration = 6749000

                       MCMC iteration = 6750000

                       MCMC iteration = 6751000

                       MCMC iteration = 6752000

                       MCMC iteration = 6753000

                       MCMC iteration = 6754000

                       MCMC iteration = 6755000

                       MCMC iteration = 6756000

                       MCMC iteration = 6757000

                       MCMC iteration = 6758000

                       MCMC iteration = 6759000

                       MCMC iteration = 6760000

                       MCMC iteration = 6761000

                       MCMC iteration = 6762000

                       MCMC iteration = 6763000

                       MCMC iteration = 6764000

                       MCMC iteration = 6765000

                       MCMC iteration = 6766000

                       MCMC iteration = 6767000

                       MCMC iteration = 6768000

                       MCMC iteration = 6769000

                       MCMC iteration = 6770000

                       MCMC iteration = 6771000

                       MCMC iteration = 6772000

                       MCMC iteration = 6773000

                       MCMC iteration = 6774000

                       MCMC iteration = 6775000

                       MCMC iteration = 6776000

                       MCMC iteration = 6777000

                       MCMC iteration = 6778000

                       MCMC iteration = 6779000

                       MCMC iteration = 6780000

                       MCMC iteration = 6781000

                       MCMC iteration = 6782000

                       MCMC iteration = 6783000

                       MCMC iteration = 6784000

                       MCMC iteration = 6785000

                       MCMC iteration = 6786000

                       MCMC iteration = 6787000

                       MCMC iteration = 6788000

                       MCMC iteration = 6789000

                       MCMC iteration = 6790000

                       MCMC iteration = 6791000

                       MCMC iteration = 6792000

                       MCMC iteration = 6793000

                       MCMC iteration = 6794000

                       MCMC iteration = 6795000

                       MCMC iteration = 6796000

                       MCMC iteration = 6797000

                       MCMC iteration = 6798000

                       MCMC iteration = 6799000

                       MCMC iteration = 6800000

                       MCMC iteration = 6801000

                       MCMC iteration = 6802000

                       MCMC iteration = 6803000

                       MCMC iteration = 6804000

                       MCMC iteration = 6805000

                       MCMC iteration = 6806000

                       MCMC iteration = 6807000

                       MCMC iteration = 6808000

                       MCMC iteration = 6809000

                       MCMC iteration = 6810000

                       MCMC iteration = 6811000

                       MCMC iteration = 6812000

                       MCMC iteration = 6813000

                       MCMC iteration = 6814000

                       MCMC iteration = 6815000

                       MCMC iteration = 6816000

                       MCMC iteration = 6817000

                       MCMC iteration = 6818000

                       MCMC iteration = 6819000

                       MCMC iteration = 6820000

                       MCMC iteration = 6821000

                       MCMC iteration = 6822000

                       MCMC iteration = 6823000

                       MCMC iteration = 6824000

                       MCMC iteration = 6825000

                       MCMC iteration = 6826000

                       MCMC iteration = 6827000

                       MCMC iteration = 6828000

                       MCMC iteration = 6829000

                       MCMC iteration = 6830000

                       MCMC iteration = 6831000

                       MCMC iteration = 6832000

                       MCMC iteration = 6833000

                       MCMC iteration = 6834000

                       MCMC iteration = 6835000

                       MCMC iteration = 6836000

                       MCMC iteration = 6837000

                       MCMC iteration = 6838000

                       MCMC iteration = 6839000

                       MCMC iteration = 6840000

                       MCMC iteration = 6841000

                       MCMC iteration = 6842000

                       MCMC iteration = 6843000

                       MCMC iteration = 6844000

                       MCMC iteration = 6845000

                       MCMC iteration = 6846000

                       MCMC iteration = 6847000

                       MCMC iteration = 6848000

                       MCMC iteration = 6849000

                       MCMC iteration = 6850000

                       MCMC iteration = 6851000

                       MCMC iteration = 6852000

                       MCMC iteration = 6853000

                       MCMC iteration = 6854000

                       MCMC iteration = 6855000

                       MCMC iteration = 6856000

                       MCMC iteration = 6857000

                       MCMC iteration = 6858000

                       MCMC iteration = 6859000

                       MCMC iteration = 6860000

                       MCMC iteration = 6861000

                       MCMC iteration = 6862000

                       MCMC iteration = 6863000

                       MCMC iteration = 6864000

                       MCMC iteration = 6865000

                       MCMC iteration = 6866000

                       MCMC iteration = 6867000

                       MCMC iteration = 6868000

                       MCMC iteration = 6869000

                       MCMC iteration = 6870000

                       MCMC iteration = 6871000

                       MCMC iteration = 6872000

                       MCMC iteration = 6873000

                       MCMC iteration = 6874000

                       MCMC iteration = 6875000

                       MCMC iteration = 6876000

                       MCMC iteration = 6877000

                       MCMC iteration = 6878000

                       MCMC iteration = 6879000

                       MCMC iteration = 6880000

                       MCMC iteration = 6881000

                       MCMC iteration = 6882000

                       MCMC iteration = 6883000

                       MCMC iteration = 6884000

                       MCMC iteration = 6885000

                       MCMC iteration = 6886000

                       MCMC iteration = 6887000

                       MCMC iteration = 6888000

                       MCMC iteration = 6889000

                       MCMC iteration = 6890000

                       MCMC iteration = 6891000

                       MCMC iteration = 6892000

                       MCMC iteration = 6893000

                       MCMC iteration = 6894000

                       MCMC iteration = 6895000

                       MCMC iteration = 6896000

                       MCMC iteration = 6897000

                       MCMC iteration = 6898000

                       MCMC iteration = 6899000

                       MCMC iteration = 6900000

                       MCMC iteration = 6901000

                       MCMC iteration = 6902000

                       MCMC iteration = 6903000

                       MCMC iteration = 6904000

                       MCMC iteration = 6905000

                       MCMC iteration = 6906000

                       MCMC iteration = 6907000

                       MCMC iteration = 6908000

                       MCMC iteration = 6909000

                       MCMC iteration = 6910000

                       MCMC iteration = 6911000

                       MCMC iteration = 6912000

                       MCMC iteration = 6913000

                       MCMC iteration = 6914000

                       MCMC iteration = 6915000

                       MCMC iteration = 6916000

                       MCMC iteration = 6917000

                       MCMC iteration = 6918000

                       MCMC iteration = 6919000

                       MCMC iteration = 6920000

                       MCMC iteration = 6921000

                       MCMC iteration = 6922000

                       MCMC iteration = 6923000

                       MCMC iteration = 6924000

                       MCMC iteration = 6925000

                       MCMC iteration = 6926000

                       MCMC iteration = 6927000

                       MCMC iteration = 6928000

                       MCMC iteration = 6929000

                       MCMC iteration = 6930000

                       MCMC iteration = 6931000

                       MCMC iteration = 6932000

                       MCMC iteration = 6933000

                       MCMC iteration = 6934000

                       MCMC iteration = 6935000

                       MCMC iteration = 6936000

                       MCMC iteration = 6937000

                       MCMC iteration = 6938000

                       MCMC iteration = 6939000

                       MCMC iteration = 6940000

                       MCMC iteration = 6941000

                       MCMC iteration = 6942000

                       MCMC iteration = 6943000

                       MCMC iteration = 6944000

                       MCMC iteration = 6945000

                       MCMC iteration = 6946000

                       MCMC iteration = 6947000

                       MCMC iteration = 6948000

                       MCMC iteration = 6949000

                       MCMC iteration = 6950000

                       MCMC iteration = 6951000

                       MCMC iteration = 6952000

                       MCMC iteration = 6953000

                       MCMC iteration = 6954000

                       MCMC iteration = 6955000

                       MCMC iteration = 6956000

                       MCMC iteration = 6957000

                       MCMC iteration = 6958000

                       MCMC iteration = 6959000

                       MCMC iteration = 6960000

                       MCMC iteration = 6961000

                       MCMC iteration = 6962000

                       MCMC iteration = 6963000

                       MCMC iteration = 6964000

                       MCMC iteration = 6965000

                       MCMC iteration = 6966000

                       MCMC iteration = 6967000

                       MCMC iteration = 6968000

                       MCMC iteration = 6969000

                       MCMC iteration = 6970000

                       MCMC iteration = 6971000

                       MCMC iteration = 6972000

                       MCMC iteration = 6973000

                       MCMC iteration = 6974000

                       MCMC iteration = 6975000

                       MCMC iteration = 6976000

                       MCMC iteration = 6977000

                       MCMC iteration = 6978000

                       MCMC iteration = 6979000

                       MCMC iteration = 6980000

                       MCMC iteration = 6981000

                       MCMC iteration = 6982000

                       MCMC iteration = 6983000

                       MCMC iteration = 6984000

                       MCMC iteration = 6985000

                       MCMC iteration = 6986000

                       MCMC iteration = 6987000

                       MCMC iteration = 6988000

                       MCMC iteration = 6989000

                       MCMC iteration = 6990000

                       MCMC iteration = 6991000

                       MCMC iteration = 6992000

                       MCMC iteration = 6993000

                       MCMC iteration = 6994000

                       MCMC iteration = 6995000

                       MCMC iteration = 6996000

                       MCMC iteration = 6997000

                       MCMC iteration = 6998000

                       MCMC iteration = 6999000

                       MCMC iteration = 7000000

                       MCMC iteration = 7001000

                       MCMC iteration = 7002000

                       MCMC iteration = 7003000

                       MCMC iteration = 7004000

                       MCMC iteration = 7005000

                       MCMC iteration = 7006000

                       MCMC iteration = 7007000

                       MCMC iteration = 7008000

                       MCMC iteration = 7009000

                       MCMC iteration = 7010000

                       MCMC iteration = 7011000

                       MCMC iteration = 7012000

                       MCMC iteration = 7013000

                       MCMC iteration = 7014000

                       MCMC iteration = 7015000

                       MCMC iteration = 7016000

                       MCMC iteration = 7017000

                       MCMC iteration = 7018000

                       MCMC iteration = 7019000

                       MCMC iteration = 7020000

                       MCMC iteration = 7021000

                       MCMC iteration = 7022000

                       MCMC iteration = 7023000

                       MCMC iteration = 7024000

                       MCMC iteration = 7025000

                       MCMC iteration = 7026000

                       MCMC iteration = 7027000

                       MCMC iteration = 7028000

                       MCMC iteration = 7029000

                       MCMC iteration = 7030000

                       MCMC iteration = 7031000

                       MCMC iteration = 7032000

                       MCMC iteration = 7033000

                       MCMC iteration = 7034000

                       MCMC iteration = 7035000

                       MCMC iteration = 7036000

                       MCMC iteration = 7037000

                       MCMC iteration = 7038000

                       MCMC iteration = 7039000

                       MCMC iteration = 7040000

                       MCMC iteration = 7041000

                       MCMC iteration = 7042000

                       MCMC iteration = 7043000

                       MCMC iteration = 7044000

                       MCMC iteration = 7045000

                       MCMC iteration = 7046000

                       MCMC iteration = 7047000

                       MCMC iteration = 7048000

                       MCMC iteration = 7049000

                       MCMC iteration = 7050000

                       MCMC iteration = 7051000

                       MCMC iteration = 7052000

                       MCMC iteration = 7053000

                       MCMC iteration = 7054000

                       MCMC iteration = 7055000

                       MCMC iteration = 7056000

                       MCMC iteration = 7057000

                       MCMC iteration = 7058000

                       MCMC iteration = 7059000

                       MCMC iteration = 7060000

                       MCMC iteration = 7061000

                       MCMC iteration = 7062000

                       MCMC iteration = 7063000

                       MCMC iteration = 7064000

                       MCMC iteration = 7065000

                       MCMC iteration = 7066000

                       MCMC iteration = 7067000

                       MCMC iteration = 7068000

                       MCMC iteration = 7069000

                       MCMC iteration = 7070000

                       MCMC iteration = 7071000

                       MCMC iteration = 7072000

                       MCMC iteration = 7073000

                       MCMC iteration = 7074000

                       MCMC iteration = 7075000

                       MCMC iteration = 7076000

                       MCMC iteration = 7077000

                       MCMC iteration = 7078000

                       MCMC iteration = 7079000

                       MCMC iteration = 7080000

                       MCMC iteration = 7081000

                       MCMC iteration = 7082000

                       MCMC iteration = 7083000

                       MCMC iteration = 7084000

                       MCMC iteration = 7085000

                       MCMC iteration = 7086000

                       MCMC iteration = 7087000

                       MCMC iteration = 7088000

                       MCMC iteration = 7089000

                       MCMC iteration = 7090000

                       MCMC iteration = 7091000

                       MCMC iteration = 7092000

                       MCMC iteration = 7093000

                       MCMC iteration = 7094000

                       MCMC iteration = 7095000

                       MCMC iteration = 7096000

                       MCMC iteration = 7097000

                       MCMC iteration = 7098000

                       MCMC iteration = 7099000

                       MCMC iteration = 7100000

                       MCMC iteration = 7101000

                       MCMC iteration = 7102000

                       MCMC iteration = 7103000

                       MCMC iteration = 7104000

                       MCMC iteration = 7105000

                       MCMC iteration = 7106000

                       MCMC iteration = 7107000

                       MCMC iteration = 7108000

                       MCMC iteration = 7109000

                       MCMC iteration = 7110000

                       MCMC iteration = 7111000

                       MCMC iteration = 7112000

                       MCMC iteration = 7113000

                       MCMC iteration = 7114000

                       MCMC iteration = 7115000

                       MCMC iteration = 7116000

                       MCMC iteration = 7117000

                       MCMC iteration = 7118000

                       MCMC iteration = 7119000

                       MCMC iteration = 7120000

                       MCMC iteration = 7121000

                       MCMC iteration = 7122000

                       MCMC iteration = 7123000

                       MCMC iteration = 7124000

                       MCMC iteration = 7125000

                       MCMC iteration = 7126000

                       MCMC iteration = 7127000

                       MCMC iteration = 7128000

                       MCMC iteration = 7129000

                       MCMC iteration = 7130000

                       MCMC iteration = 7131000

                       MCMC iteration = 7132000

                       MCMC iteration = 7133000

                       MCMC iteration = 7134000

                       MCMC iteration = 7135000

                       MCMC iteration = 7136000

                       MCMC iteration = 7137000

                       MCMC iteration = 7138000

                       MCMC iteration = 7139000

                       MCMC iteration = 7140000

                       MCMC iteration = 7141000

                       MCMC iteration = 7142000

                       MCMC iteration = 7143000

                       MCMC iteration = 7144000

                       MCMC iteration = 7145000

                       MCMC iteration = 7146000

                       MCMC iteration = 7147000

                       MCMC iteration = 7148000

                       MCMC iteration = 7149000

                       MCMC iteration = 7150000

                       MCMC iteration = 7151000

                       MCMC iteration = 7152000

                       MCMC iteration = 7153000

                       MCMC iteration = 7154000

                       MCMC iteration = 7155000

                       MCMC iteration = 7156000

                       MCMC iteration = 7157000

                       MCMC iteration = 7158000

                       MCMC iteration = 7159000

                       MCMC iteration = 7160000

                       MCMC iteration = 7161000

                       MCMC iteration = 7162000

                       MCMC iteration = 7163000

                       MCMC iteration = 7164000

                       MCMC iteration = 7165000

                       MCMC iteration = 7166000

                       MCMC iteration = 7167000

                       MCMC iteration = 7168000

                       MCMC iteration = 7169000

                       MCMC iteration = 7170000

                       MCMC iteration = 7171000

                       MCMC iteration = 7172000

                       MCMC iteration = 7173000

                       MCMC iteration = 7174000

                       MCMC iteration = 7175000

                       MCMC iteration = 7176000

                       MCMC iteration = 7177000

                       MCMC iteration = 7178000

                       MCMC iteration = 7179000

                       MCMC iteration = 7180000

                       MCMC iteration = 7181000

                       MCMC iteration = 7182000

                       MCMC iteration = 7183000

                       MCMC iteration = 7184000

                       MCMC iteration = 7185000

                       MCMC iteration = 7186000

                       MCMC iteration = 7187000

                       MCMC iteration = 7188000

                       MCMC iteration = 7189000

                       MCMC iteration = 7190000

                       MCMC iteration = 7191000

                       MCMC iteration = 7192000

                       MCMC iteration = 7193000

                       MCMC iteration = 7194000

                       MCMC iteration = 7195000

                       MCMC iteration = 7196000

                       MCMC iteration = 7197000

                       MCMC iteration = 7198000

                       MCMC iteration = 7199000

                       MCMC iteration = 7200000

                       MCMC iteration = 7201000

                       MCMC iteration = 7202000

                       MCMC iteration = 7203000

                       MCMC iteration = 7204000

                       MCMC iteration = 7205000

                       MCMC iteration = 7206000

                       MCMC iteration = 7207000

                       MCMC iteration = 7208000

                       MCMC iteration = 7209000

                       MCMC iteration = 7210000

                       MCMC iteration = 7211000

                       MCMC iteration = 7212000

                       MCMC iteration = 7213000

                       MCMC iteration = 7214000

                       MCMC iteration = 7215000

                       MCMC iteration = 7216000

                       MCMC iteration = 7217000

                       MCMC iteration = 7218000

                       MCMC iteration = 7219000

                       MCMC iteration = 7220000

                       MCMC iteration = 7221000

                       MCMC iteration = 7222000

                       MCMC iteration = 7223000

                       MCMC iteration = 7224000

                       MCMC iteration = 7225000

                       MCMC iteration = 7226000

                       MCMC iteration = 7227000

                       MCMC iteration = 7228000

                       MCMC iteration = 7229000

                       MCMC iteration = 7230000

                       MCMC iteration = 7231000

                       MCMC iteration = 7232000

                       MCMC iteration = 7233000

                       MCMC iteration = 7234000

                       MCMC iteration = 7235000

                       MCMC iteration = 7236000

                       MCMC iteration = 7237000

                       MCMC iteration = 7238000

                       MCMC iteration = 7239000

                       MCMC iteration = 7240000

                       MCMC iteration = 7241000

                       MCMC iteration = 7242000

                       MCMC iteration = 7243000

                       MCMC iteration = 7244000

                       MCMC iteration = 7245000

                       MCMC iteration = 7246000

                       MCMC iteration = 7247000

                       MCMC iteration = 7248000

                       MCMC iteration = 7249000

                       MCMC iteration = 7250000

                       MCMC iteration = 7251000

                       MCMC iteration = 7252000

                       MCMC iteration = 7253000

                       MCMC iteration = 7254000

                       MCMC iteration = 7255000

                       MCMC iteration = 7256000

                       MCMC iteration = 7257000

                       MCMC iteration = 7258000

                       MCMC iteration = 7259000

                       MCMC iteration = 7260000

                       MCMC iteration = 7261000

                       MCMC iteration = 7262000

                       MCMC iteration = 7263000

                       MCMC iteration = 7264000

                       MCMC iteration = 7265000

                       MCMC iteration = 7266000

                       MCMC iteration = 7267000

                       MCMC iteration = 7268000

                       MCMC iteration = 7269000

                       MCMC iteration = 7270000

                       MCMC iteration = 7271000

                       MCMC iteration = 7272000

                       MCMC iteration = 7273000

                       MCMC iteration = 7274000

                       MCMC iteration = 7275000

                       MCMC iteration = 7276000

                       MCMC iteration = 7277000

                       MCMC iteration = 7278000

                       MCMC iteration = 7279000

                       MCMC iteration = 7280000

                       MCMC iteration = 7281000

                       MCMC iteration = 7282000

                       MCMC iteration = 7283000

                       MCMC iteration = 7284000

                       MCMC iteration = 7285000

                       MCMC iteration = 7286000

                       MCMC iteration = 7287000

                       MCMC iteration = 7288000

                       MCMC iteration = 7289000

                       MCMC iteration = 7290000

                       MCMC iteration = 7291000

                       MCMC iteration = 7292000

                       MCMC iteration = 7293000

                       MCMC iteration = 7294000

                       MCMC iteration = 7295000

                       MCMC iteration = 7296000

                       MCMC iteration = 7297000

                       MCMC iteration = 7298000

                       MCMC iteration = 7299000

                       MCMC iteration = 7300000

                       MCMC iteration = 7301000

                       MCMC iteration = 7302000

                       MCMC iteration = 7303000

                       MCMC iteration = 7304000

                       MCMC iteration = 7305000

                       MCMC iteration = 7306000

                       MCMC iteration = 7307000

                       MCMC iteration = 7308000

                       MCMC iteration = 7309000

                       MCMC iteration = 7310000

                       MCMC iteration = 7311000

                       MCMC iteration = 7312000

                       MCMC iteration = 7313000

                       MCMC iteration = 7314000

                       MCMC iteration = 7315000

                       MCMC iteration = 7316000

                       MCMC iteration = 7317000

                       MCMC iteration = 7318000

                       MCMC iteration = 7319000

                       MCMC iteration = 7320000

                       MCMC iteration = 7321000

                       MCMC iteration = 7322000

                       MCMC iteration = 7323000

                       MCMC iteration = 7324000

                       MCMC iteration = 7325000

                       MCMC iteration = 7326000

                       MCMC iteration = 7327000

                       MCMC iteration = 7328000

                       MCMC iteration = 7329000

                       MCMC iteration = 7330000

                       MCMC iteration = 7331000

                       MCMC iteration = 7332000

                       MCMC iteration = 7333000

                       MCMC iteration = 7334000

                       MCMC iteration = 7335000

                       MCMC iteration = 7336000

                       MCMC iteration = 7337000

                       MCMC iteration = 7338000

                       MCMC iteration = 7339000

                       MCMC iteration = 7340000

                       MCMC iteration = 7341000

                       MCMC iteration = 7342000

                       MCMC iteration = 7343000

                       MCMC iteration = 7344000

                       MCMC iteration = 7345000

                       MCMC iteration = 7346000

                       MCMC iteration = 7347000

                       MCMC iteration = 7348000

                       MCMC iteration = 7349000

                       MCMC iteration = 7350000

                       MCMC iteration = 7351000

                       MCMC iteration = 7352000

                       MCMC iteration = 7353000

                       MCMC iteration = 7354000

                       MCMC iteration = 7355000

                       MCMC iteration = 7356000

                       MCMC iteration = 7357000

                       MCMC iteration = 7358000

                       MCMC iteration = 7359000

                       MCMC iteration = 7360000

                       MCMC iteration = 7361000

                       MCMC iteration = 7362000

                       MCMC iteration = 7363000

                       MCMC iteration = 7364000

                       MCMC iteration = 7365000

                       MCMC iteration = 7366000

                       MCMC iteration = 7367000

                       MCMC iteration = 7368000

                       MCMC iteration = 7369000

                       MCMC iteration = 7370000

                       MCMC iteration = 7371000

                       MCMC iteration = 7372000

                       MCMC iteration = 7373000

                       MCMC iteration = 7374000

                       MCMC iteration = 7375000

                       MCMC iteration = 7376000

                       MCMC iteration = 7377000

                       MCMC iteration = 7378000

                       MCMC iteration = 7379000

                       MCMC iteration = 7380000

                       MCMC iteration = 7381000

                       MCMC iteration = 7382000

                       MCMC iteration = 7383000

                       MCMC iteration = 7384000

                       MCMC iteration = 7385000

                       MCMC iteration = 7386000

                       MCMC iteration = 7387000

                       MCMC iteration = 7388000

                       MCMC iteration = 7389000

                       MCMC iteration = 7390000

                       MCMC iteration = 7391000

                       MCMC iteration = 7392000

                       MCMC iteration = 7393000

                       MCMC iteration = 7394000

                       MCMC iteration = 7395000

                       MCMC iteration = 7396000

                       MCMC iteration = 7397000

                       MCMC iteration = 7398000

                       MCMC iteration = 7399000

                       MCMC iteration = 7400000

                       MCMC iteration = 7401000

                       MCMC iteration = 7402000

                       MCMC iteration = 7403000

                       MCMC iteration = 7404000

                       MCMC iteration = 7405000

                       MCMC iteration = 7406000

                       MCMC iteration = 7407000

                       MCMC iteration = 7408000

                       MCMC iteration = 7409000

                       MCMC iteration = 7410000

                       MCMC iteration = 7411000

                       MCMC iteration = 7412000

                       MCMC iteration = 7413000

                       MCMC iteration = 7414000

                       MCMC iteration = 7415000

                       MCMC iteration = 7416000

                       MCMC iteration = 7417000

                       MCMC iteration = 7418000

                       MCMC iteration = 7419000

                       MCMC iteration = 7420000

                       MCMC iteration = 7421000

                       MCMC iteration = 7422000

                       MCMC iteration = 7423000

                       MCMC iteration = 7424000

                       MCMC iteration = 7425000

                       MCMC iteration = 7426000

                       MCMC iteration = 7427000

                       MCMC iteration = 7428000

                       MCMC iteration = 7429000

                       MCMC iteration = 7430000

                       MCMC iteration = 7431000

                       MCMC iteration = 7432000

                       MCMC iteration = 7433000

                       MCMC iteration = 7434000

                       MCMC iteration = 7435000

                       MCMC iteration = 7436000

                       MCMC iteration = 7437000

                       MCMC iteration = 7438000

                       MCMC iteration = 7439000

                       MCMC iteration = 7440000

                       MCMC iteration = 7441000

                       MCMC iteration = 7442000

                       MCMC iteration = 7443000

                       MCMC iteration = 7444000

                       MCMC iteration = 7445000

                       MCMC iteration = 7446000

                       MCMC iteration = 7447000

                       MCMC iteration = 7448000

                       MCMC iteration = 7449000

                       MCMC iteration = 7450000

                       MCMC iteration = 7451000

                       MCMC iteration = 7452000

                       MCMC iteration = 7453000

                       MCMC iteration = 7454000

                       MCMC iteration = 7455000

                       MCMC iteration = 7456000

                       MCMC iteration = 7457000

                       MCMC iteration = 7458000

                       MCMC iteration = 7459000

                       MCMC iteration = 7460000

                       MCMC iteration = 7461000

                       MCMC iteration = 7462000

                       MCMC iteration = 7463000

                       MCMC iteration = 7464000

                       MCMC iteration = 7465000

                       MCMC iteration = 7466000

                       MCMC iteration = 7467000

                       MCMC iteration = 7468000

                       MCMC iteration = 7469000

                       MCMC iteration = 7470000

                       MCMC iteration = 7471000

                       MCMC iteration = 7472000

                       MCMC iteration = 7473000

                       MCMC iteration = 7474000

                       MCMC iteration = 7475000

                       MCMC iteration = 7476000

                       MCMC iteration = 7477000

                       MCMC iteration = 7478000

                       MCMC iteration = 7479000

                       MCMC iteration = 7480000

                       MCMC iteration = 7481000

                       MCMC iteration = 7482000

                       MCMC iteration = 7483000

                       MCMC iteration = 7484000

                       MCMC iteration = 7485000

                       MCMC iteration = 7486000

                       MCMC iteration = 7487000

                       MCMC iteration = 7488000

                       MCMC iteration = 7489000

                       MCMC iteration = 7490000

                       MCMC iteration = 7491000

                       MCMC iteration = 7492000

                       MCMC iteration = 7493000

                       MCMC iteration = 7494000

                       MCMC iteration = 7495000

                       MCMC iteration = 7496000

                       MCMC iteration = 7497000

                       MCMC iteration = 7498000

                       MCMC iteration = 7499000

                       MCMC iteration = 7500000

                       MCMC iteration = 7501000

                       MCMC iteration = 7502000

                       MCMC iteration = 7503000

                       MCMC iteration = 7504000

                       MCMC iteration = 7505000

                       MCMC iteration = 7506000

                       MCMC iteration = 7507000

                       MCMC iteration = 7508000

                       MCMC iteration = 7509000

                       MCMC iteration = 7510000

                       MCMC iteration = 7511000

                       MCMC iteration = 7512000

                       MCMC iteration = 7513000

                       MCMC iteration = 7514000

                       MCMC iteration = 7515000

                       MCMC iteration = 7516000

                       MCMC iteration = 7517000

                       MCMC iteration = 7518000

                       MCMC iteration = 7519000

                       MCMC iteration = 7520000

                       MCMC iteration = 7521000

                       MCMC iteration = 7522000

                       MCMC iteration = 7523000

                       MCMC iteration = 7524000

                       MCMC iteration = 7525000

                       MCMC iteration = 7526000

                       MCMC iteration = 7527000

                       MCMC iteration = 7528000

                       MCMC iteration = 7529000

                       MCMC iteration = 7530000

                       MCMC iteration = 7531000

                       MCMC iteration = 7532000

                       MCMC iteration = 7533000

                       MCMC iteration = 7534000

                       MCMC iteration = 7535000

                       MCMC iteration = 7536000

                       MCMC iteration = 7537000

                       MCMC iteration = 7538000

                       MCMC iteration = 7539000

                       MCMC iteration = 7540000

                       MCMC iteration = 7541000

                       MCMC iteration = 7542000

                       MCMC iteration = 7543000

                       MCMC iteration = 7544000

                       MCMC iteration = 7545000

                       MCMC iteration = 7546000

                       MCMC iteration = 7547000

                       MCMC iteration = 7548000

                       MCMC iteration = 7549000

                       MCMC iteration = 7550000

                       MCMC iteration = 7551000

                       MCMC iteration = 7552000

                       MCMC iteration = 7553000

                       MCMC iteration = 7554000

                       MCMC iteration = 7555000

                       MCMC iteration = 7556000

                       MCMC iteration = 7557000

                       MCMC iteration = 7558000

                       MCMC iteration = 7559000

                       MCMC iteration = 7560000

                       MCMC iteration = 7561000

                       MCMC iteration = 7562000

                       MCMC iteration = 7563000

                       MCMC iteration = 7564000

                       MCMC iteration = 7565000

                       MCMC iteration = 7566000

                       MCMC iteration = 7567000

                       MCMC iteration = 7568000

                       MCMC iteration = 7569000

                       MCMC iteration = 7570000

                       MCMC iteration = 7571000

                       MCMC iteration = 7572000

                       MCMC iteration = 7573000

                       MCMC iteration = 7574000

                       MCMC iteration = 7575000

                       MCMC iteration = 7576000

                       MCMC iteration = 7577000

                       MCMC iteration = 7578000

                       MCMC iteration = 7579000

                       MCMC iteration = 7580000

                       MCMC iteration = 7581000

                       MCMC iteration = 7582000

                       MCMC iteration = 7583000

                       MCMC iteration = 7584000

                       MCMC iteration = 7585000

                       MCMC iteration = 7586000

                       MCMC iteration = 7587000

                       MCMC iteration = 7588000

                       MCMC iteration = 7589000

                       MCMC iteration = 7590000

                       MCMC iteration = 7591000

                       MCMC iteration = 7592000

                       MCMC iteration = 7593000

                       MCMC iteration = 7594000

                       MCMC iteration = 7595000

                       MCMC iteration = 7596000

                       MCMC iteration = 7597000

                       MCMC iteration = 7598000

                       MCMC iteration = 7599000

                       MCMC iteration = 7600000

                       MCMC iteration = 7601000

                       MCMC iteration = 7602000

                       MCMC iteration = 7603000

                       MCMC iteration = 7604000

                       MCMC iteration = 7605000

                       MCMC iteration = 7606000

                       MCMC iteration = 7607000

                       MCMC iteration = 7608000

                       MCMC iteration = 7609000

                       MCMC iteration = 7610000

                       MCMC iteration = 7611000

                       MCMC iteration = 7612000

                       MCMC iteration = 7613000

                       MCMC iteration = 7614000

                       MCMC iteration = 7615000

                       MCMC iteration = 7616000

                       MCMC iteration = 7617000

                       MCMC iteration = 7618000

                       MCMC iteration = 7619000

                       MCMC iteration = 7620000

                       MCMC iteration = 7621000

                       MCMC iteration = 7622000

                       MCMC iteration = 7623000

                       MCMC iteration = 7624000

                       MCMC iteration = 7625000

                       MCMC iteration = 7626000

                       MCMC iteration = 7627000

                       MCMC iteration = 7628000

                       MCMC iteration = 7629000

                       MCMC iteration = 7630000

                       MCMC iteration = 7631000

                       MCMC iteration = 7632000

                       MCMC iteration = 7633000

                       MCMC iteration = 7634000

                       MCMC iteration = 7635000

                       MCMC iteration = 7636000

                       MCMC iteration = 7637000

                       MCMC iteration = 7638000

                       MCMC iteration = 7639000

                       MCMC iteration = 7640000

                       MCMC iteration = 7641000

                       MCMC iteration = 7642000

                       MCMC iteration = 7643000

                       MCMC iteration = 7644000

                       MCMC iteration = 7645000

                       MCMC iteration = 7646000

                       MCMC iteration = 7647000

                       MCMC iteration = 7648000

                       MCMC iteration = 7649000

                       MCMC iteration = 7650000

                       MCMC iteration = 7651000

                       MCMC iteration = 7652000

                       MCMC iteration = 7653000

                       MCMC iteration = 7654000

                       MCMC iteration = 7655000

                       MCMC iteration = 7656000

                       MCMC iteration = 7657000

                       MCMC iteration = 7658000

                       MCMC iteration = 7659000

                       MCMC iteration = 7660000

                       MCMC iteration = 7661000

                       MCMC iteration = 7662000

                       MCMC iteration = 7663000

                       MCMC iteration = 7664000

                       MCMC iteration = 7665000

                       MCMC iteration = 7666000

                       MCMC iteration = 7667000

                       MCMC iteration = 7668000

                       MCMC iteration = 7669000

                       MCMC iteration = 7670000

                       MCMC iteration = 7671000

                       MCMC iteration = 7672000

                       MCMC iteration = 7673000

                       MCMC iteration = 7674000

                       MCMC iteration = 7675000

                       MCMC iteration = 7676000

                       MCMC iteration = 7677000

                       MCMC iteration = 7678000

                       MCMC iteration = 7679000

                       MCMC iteration = 7680000

                       MCMC iteration = 7681000

                       MCMC iteration = 7682000

                       MCMC iteration = 7683000

                       MCMC iteration = 7684000

                       MCMC iteration = 7685000

                       MCMC iteration = 7686000

                       MCMC iteration = 7687000

                       MCMC iteration = 7688000

                       MCMC iteration = 7689000

                       MCMC iteration = 7690000

                       MCMC iteration = 7691000

                       MCMC iteration = 7692000

                       MCMC iteration = 7693000

                       MCMC iteration = 7694000

                       MCMC iteration = 7695000

                       MCMC iteration = 7696000

                       MCMC iteration = 7697000

                       MCMC iteration = 7698000

                       MCMC iteration = 7699000

                       MCMC iteration = 7700000

                       MCMC iteration = 7701000

                       MCMC iteration = 7702000

                       MCMC iteration = 7703000

                       MCMC iteration = 7704000

                       MCMC iteration = 7705000

                       MCMC iteration = 7706000

                       MCMC iteration = 7707000

                       MCMC iteration = 7708000

                       MCMC iteration = 7709000

                       MCMC iteration = 7710000

                       MCMC iteration = 7711000

                       MCMC iteration = 7712000

                       MCMC iteration = 7713000

                       MCMC iteration = 7714000

                       MCMC iteration = 7715000

                       MCMC iteration = 7716000

                       MCMC iteration = 7717000

                       MCMC iteration = 7718000

                       MCMC iteration = 7719000

                       MCMC iteration = 7720000

                       MCMC iteration = 7721000

                       MCMC iteration = 7722000

                       MCMC iteration = 7723000

                       MCMC iteration = 7724000

                       MCMC iteration = 7725000

                       MCMC iteration = 7726000

                       MCMC iteration = 7727000

                       MCMC iteration = 7728000

                       MCMC iteration = 7729000

                       MCMC iteration = 7730000

                       MCMC iteration = 7731000

                       MCMC iteration = 7732000

                       MCMC iteration = 7733000

                       MCMC iteration = 7734000

                       MCMC iteration = 7735000

                       MCMC iteration = 7736000

                       MCMC iteration = 7737000

                       MCMC iteration = 7738000

                       MCMC iteration = 7739000

                       MCMC iteration = 7740000

                       MCMC iteration = 7741000

                       MCMC iteration = 7742000

                       MCMC iteration = 7743000

                       MCMC iteration = 7744000

                       MCMC iteration = 7745000

                       MCMC iteration = 7746000

                       MCMC iteration = 7747000

                       MCMC iteration = 7748000

                       MCMC iteration = 7749000

                       MCMC iteration = 7750000

                       MCMC iteration = 7751000

                       MCMC iteration = 7752000

                       MCMC iteration = 7753000

                       MCMC iteration = 7754000

                       MCMC iteration = 7755000

                       MCMC iteration = 7756000

                       MCMC iteration = 7757000

                       MCMC iteration = 7758000

                       MCMC iteration = 7759000

                       MCMC iteration = 7760000

                       MCMC iteration = 7761000

                       MCMC iteration = 7762000

                       MCMC iteration = 7763000

                       MCMC iteration = 7764000

                       MCMC iteration = 7765000

                       MCMC iteration = 7766000

                       MCMC iteration = 7767000

                       MCMC iteration = 7768000

                       MCMC iteration = 7769000

                       MCMC iteration = 7770000

                       MCMC iteration = 7771000

                       MCMC iteration = 7772000

                       MCMC iteration = 7773000

                       MCMC iteration = 7774000

                       MCMC iteration = 7775000

                       MCMC iteration = 7776000

                       MCMC iteration = 7777000

                       MCMC iteration = 7778000

                       MCMC iteration = 7779000

                       MCMC iteration = 7780000

                       MCMC iteration = 7781000

                       MCMC iteration = 7782000

                       MCMC iteration = 7783000

                       MCMC iteration = 7784000

                       MCMC iteration = 7785000

                       MCMC iteration = 7786000

                       MCMC iteration = 7787000

                       MCMC iteration = 7788000

                       MCMC iteration = 7789000

                       MCMC iteration = 7790000

                       MCMC iteration = 7791000

                       MCMC iteration = 7792000

                       MCMC iteration = 7793000

                       MCMC iteration = 7794000

                       MCMC iteration = 7795000

                       MCMC iteration = 7796000

                       MCMC iteration = 7797000

                       MCMC iteration = 7798000

                       MCMC iteration = 7799000

                       MCMC iteration = 7800000

                       MCMC iteration = 7801000

                       MCMC iteration = 7802000

                       MCMC iteration = 7803000

                       MCMC iteration = 7804000

                       MCMC iteration = 7805000

                       MCMC iteration = 7806000

                       MCMC iteration = 7807000

                       MCMC iteration = 7808000

                       MCMC iteration = 7809000

                       MCMC iteration = 7810000

                       MCMC iteration = 7811000

                       MCMC iteration = 7812000

                       MCMC iteration = 7813000

                       MCMC iteration = 7814000

                       MCMC iteration = 7815000

                       MCMC iteration = 7816000

                       MCMC iteration = 7817000

                       MCMC iteration = 7818000

                       MCMC iteration = 7819000

                       MCMC iteration = 7820000

                       MCMC iteration = 7821000

                       MCMC iteration = 7822000

                       MCMC iteration = 7823000

                       MCMC iteration = 7824000

                       MCMC iteration = 7825000

                       MCMC iteration = 7826000

                       MCMC iteration = 7827000

                       MCMC iteration = 7828000

                       MCMC iteration = 7829000

                       MCMC iteration = 7830000

                       MCMC iteration = 7831000

                       MCMC iteration = 7832000

                       MCMC iteration = 7833000

                       MCMC iteration = 7834000

                       MCMC iteration = 7835000

                       MCMC iteration = 7836000

                       MCMC iteration = 7837000

                       MCMC iteration = 7838000

                       MCMC iteration = 7839000

                       MCMC iteration = 7840000

                       MCMC iteration = 7841000

                       MCMC iteration = 7842000

                       MCMC iteration = 7843000

                       MCMC iteration = 7844000

                       MCMC iteration = 7845000

                       MCMC iteration = 7846000

                       MCMC iteration = 7847000

                       MCMC iteration = 7848000

                       MCMC iteration = 7849000

                       MCMC iteration = 7850000

                       MCMC iteration = 7851000

                       MCMC iteration = 7852000

                       MCMC iteration = 7853000

                       MCMC iteration = 7854000

                       MCMC iteration = 7855000

                       MCMC iteration = 7856000

                       MCMC iteration = 7857000

                       MCMC iteration = 7858000

                       MCMC iteration = 7859000

                       MCMC iteration = 7860000

                       MCMC iteration = 7861000

                       MCMC iteration = 7862000

                       MCMC iteration = 7863000

                       MCMC iteration = 7864000

                       MCMC iteration = 7865000

                       MCMC iteration = 7866000

                       MCMC iteration = 7867000

                       MCMC iteration = 7868000

                       MCMC iteration = 7869000

                       MCMC iteration = 7870000

                       MCMC iteration = 7871000

                       MCMC iteration = 7872000

                       MCMC iteration = 7873000

                       MCMC iteration = 7874000

                       MCMC iteration = 7875000

                       MCMC iteration = 7876000

                       MCMC iteration = 7877000

                       MCMC iteration = 7878000

                       MCMC iteration = 7879000

                       MCMC iteration = 7880000

                       MCMC iteration = 7881000

                       MCMC iteration = 7882000

                       MCMC iteration = 7883000

                       MCMC iteration = 7884000

                       MCMC iteration = 7885000

                       MCMC iteration = 7886000

                       MCMC iteration = 7887000

                       MCMC iteration = 7888000

                       MCMC iteration = 7889000

                       MCMC iteration = 7890000

                       MCMC iteration = 7891000

                       MCMC iteration = 7892000

                       MCMC iteration = 7893000

                       MCMC iteration = 7894000

                       MCMC iteration = 7895000

                       MCMC iteration = 7896000

                       MCMC iteration = 7897000

                       MCMC iteration = 7898000

                       MCMC iteration = 7899000

                       MCMC iteration = 7900000

                       MCMC iteration = 7901000

                       MCMC iteration = 7902000

                       MCMC iteration = 7903000

                       MCMC iteration = 7904000

                       MCMC iteration = 7905000

                       MCMC iteration = 7906000

                       MCMC iteration = 7907000

                       MCMC iteration = 7908000

                       MCMC iteration = 7909000

                       MCMC iteration = 7910000

                       MCMC iteration = 7911000

                       MCMC iteration = 7912000

                       MCMC iteration = 7913000

                       MCMC iteration = 7914000

                       MCMC iteration = 7915000

                       MCMC iteration = 7916000

                       MCMC iteration = 7917000

                       MCMC iteration = 7918000

                       MCMC iteration = 7919000

                       MCMC iteration = 7920000

                       MCMC iteration = 7921000

                       MCMC iteration = 7922000

                       MCMC iteration = 7923000

                       MCMC iteration = 7924000

                       MCMC iteration = 7925000

                       MCMC iteration = 7926000

                       MCMC iteration = 7927000

                       MCMC iteration = 7928000

                       MCMC iteration = 7929000

                       MCMC iteration = 7930000

                       MCMC iteration = 7931000

                       MCMC iteration = 7932000

                       MCMC iteration = 7933000

                       MCMC iteration = 7934000

                       MCMC iteration = 7935000

                       MCMC iteration = 7936000

                       MCMC iteration = 7937000

                       MCMC iteration = 7938000

                       MCMC iteration = 7939000

                       MCMC iteration = 7940000

                       MCMC iteration = 7941000

                       MCMC iteration = 7942000

                       MCMC iteration = 7943000

                       MCMC iteration = 7944000

                       MCMC iteration = 7945000

                       MCMC iteration = 7946000

                       MCMC iteration = 7947000

                       MCMC iteration = 7948000

                       MCMC iteration = 7949000

                       MCMC iteration = 7950000

                       MCMC iteration = 7951000

                       MCMC iteration = 7952000

                       MCMC iteration = 7953000

                       MCMC iteration = 7954000

                       MCMC iteration = 7955000

                       MCMC iteration = 7956000

                       MCMC iteration = 7957000

                       MCMC iteration = 7958000

                       MCMC iteration = 7959000

                       MCMC iteration = 7960000

                       MCMC iteration = 7961000

                       MCMC iteration = 7962000

                       MCMC iteration = 7963000

                       MCMC iteration = 7964000

                       MCMC iteration = 7965000

                       MCMC iteration = 7966000

                       MCMC iteration = 7967000

                       MCMC iteration = 7968000

                       MCMC iteration = 7969000

                       MCMC iteration = 7970000

                       MCMC iteration = 7971000

                       MCMC iteration = 7972000

                       MCMC iteration = 7973000

                       MCMC iteration = 7974000

                       MCMC iteration = 7975000

                       MCMC iteration = 7976000

                       MCMC iteration = 7977000

                       MCMC iteration = 7978000

                       MCMC iteration = 7979000

                       MCMC iteration = 7980000

                       MCMC iteration = 7981000

                       MCMC iteration = 7982000

                       MCMC iteration = 7983000

                       MCMC iteration = 7984000

                       MCMC iteration = 7985000

                       MCMC iteration = 7986000

                       MCMC iteration = 7987000

                       MCMC iteration = 7988000

                       MCMC iteration = 7989000

                       MCMC iteration = 7990000

                       MCMC iteration = 7991000

                       MCMC iteration = 7992000

                       MCMC iteration = 7993000

                       MCMC iteration = 7994000

                       MCMC iteration = 7995000

                       MCMC iteration = 7996000

                       MCMC iteration = 7997000

                       MCMC iteration = 7998000

                       MCMC iteration = 7999000

                       MCMC iteration = 8000000

                       MCMC iteration = 8001000

                       MCMC iteration = 8002000

                       MCMC iteration = 8003000

                       MCMC iteration = 8004000

                       MCMC iteration = 8005000

                       MCMC iteration = 8006000

                       MCMC iteration = 8007000

                       MCMC iteration = 8008000

                       MCMC iteration = 8009000

                       MCMC iteration = 8010000

                       MCMC iteration = 8011000

                       MCMC iteration = 8012000

                       MCMC iteration = 8013000

                       MCMC iteration = 8014000

                       MCMC iteration = 8015000

                       MCMC iteration = 8016000

                       MCMC iteration = 8017000

                       MCMC iteration = 8018000

                       MCMC iteration = 8019000

                       MCMC iteration = 8020000

                       MCMC iteration = 8021000

                       MCMC iteration = 8022000

                       MCMC iteration = 8023000

                       MCMC iteration = 8024000

                       MCMC iteration = 8025000

                       MCMC iteration = 8026000

                       MCMC iteration = 8027000

                       MCMC iteration = 8028000

                       MCMC iteration = 8029000

                       MCMC iteration = 8030000

                       MCMC iteration = 8031000

                       MCMC iteration = 8032000

                       MCMC iteration = 8033000

                       MCMC iteration = 8034000

                       MCMC iteration = 8035000

                       MCMC iteration = 8036000

                       MCMC iteration = 8037000

                       MCMC iteration = 8038000

                       MCMC iteration = 8039000

                       MCMC iteration = 8040000

                       MCMC iteration = 8041000

                       MCMC iteration = 8042000

                       MCMC iteration = 8043000

                       MCMC iteration = 8044000

                       MCMC iteration = 8045000

                       MCMC iteration = 8046000

                       MCMC iteration = 8047000

                       MCMC iteration = 8048000

                       MCMC iteration = 8049000

                       MCMC iteration = 8050000

                       MCMC iteration = 8051000

                       MCMC iteration = 8052000

                       MCMC iteration = 8053000

                       MCMC iteration = 8054000

                       MCMC iteration = 8055000

                       MCMC iteration = 8056000

                       MCMC iteration = 8057000

                       MCMC iteration = 8058000

                       MCMC iteration = 8059000

                       MCMC iteration = 8060000

                       MCMC iteration = 8061000

                       MCMC iteration = 8062000

                       MCMC iteration = 8063000

                       MCMC iteration = 8064000

                       MCMC iteration = 8065000

                       MCMC iteration = 8066000

                       MCMC iteration = 8067000

                       MCMC iteration = 8068000

                       MCMC iteration = 8069000

                       MCMC iteration = 8070000

                       MCMC iteration = 8071000

                       MCMC iteration = 8072000

                       MCMC iteration = 8073000

                       MCMC iteration = 8074000

                       MCMC iteration = 8075000

                       MCMC iteration = 8076000

                       MCMC iteration = 8077000

                       MCMC iteration = 8078000

                       MCMC iteration = 8079000

                       MCMC iteration = 8080000

                       MCMC iteration = 8081000

                       MCMC iteration = 8082000

                       MCMC iteration = 8083000

                       MCMC iteration = 8084000

                       MCMC iteration = 8085000

                       MCMC iteration = 8086000

                       MCMC iteration = 8087000

                       MCMC iteration = 8088000

                       MCMC iteration = 8089000

                       MCMC iteration = 8090000

                       MCMC iteration = 8091000

                       MCMC iteration = 8092000

                       MCMC iteration = 8093000

                       MCMC iteration = 8094000

                       MCMC iteration = 8095000

                       MCMC iteration = 8096000

                       MCMC iteration = 8097000

                       MCMC iteration = 8098000

                       MCMC iteration = 8099000

                       MCMC iteration = 8100000

                       MCMC iteration = 8101000

                       MCMC iteration = 8102000

                       MCMC iteration = 8103000

                       MCMC iteration = 8104000

                       MCMC iteration = 8105000

                       MCMC iteration = 8106000

                       MCMC iteration = 8107000

                       MCMC iteration = 8108000

                       MCMC iteration = 8109000

                       MCMC iteration = 8110000

                       MCMC iteration = 8111000

                       MCMC iteration = 8112000

                       MCMC iteration = 8113000

                       MCMC iteration = 8114000

                       MCMC iteration = 8115000

                       MCMC iteration = 8116000

                       MCMC iteration = 8117000

                       MCMC iteration = 8118000

                       MCMC iteration = 8119000

                       MCMC iteration = 8120000

                       MCMC iteration = 8121000

                       MCMC iteration = 8122000

                       MCMC iteration = 8123000

                       MCMC iteration = 8124000

                       MCMC iteration = 8125000

                       MCMC iteration = 8126000

                       MCMC iteration = 8127000

                       MCMC iteration = 8128000

                       MCMC iteration = 8129000

                       MCMC iteration = 8130000

                       MCMC iteration = 8131000

                       MCMC iteration = 8132000

                       MCMC iteration = 8133000

                       MCMC iteration = 8134000

                       MCMC iteration = 8135000

                       MCMC iteration = 8136000

                       MCMC iteration = 8137000

                       MCMC iteration = 8138000

                       MCMC iteration = 8139000

                       MCMC iteration = 8140000

                       MCMC iteration = 8141000

                       MCMC iteration = 8142000

                       MCMC iteration = 8143000

                       MCMC iteration = 8144000

                       MCMC iteration = 8145000

                       MCMC iteration = 8146000

                       MCMC iteration = 8147000

                       MCMC iteration = 8148000

                       MCMC iteration = 8149000

                       MCMC iteration = 8150000

                       MCMC iteration = 8151000

                       MCMC iteration = 8152000

                       MCMC iteration = 8153000

                       MCMC iteration = 8154000

                       MCMC iteration = 8155000

                       MCMC iteration = 8156000

                       MCMC iteration = 8157000

                       MCMC iteration = 8158000

                       MCMC iteration = 8159000

                       MCMC iteration = 8160000

                       MCMC iteration = 8161000

                       MCMC iteration = 8162000

                       MCMC iteration = 8163000

                       MCMC iteration = 8164000

                       MCMC iteration = 8165000

                       MCMC iteration = 8166000

                       MCMC iteration = 8167000

                       MCMC iteration = 8168000

                       MCMC iteration = 8169000

                       MCMC iteration = 8170000

                       MCMC iteration = 8171000

                       MCMC iteration = 8172000

                       MCMC iteration = 8173000

                       MCMC iteration = 8174000

                       MCMC iteration = 8175000

                       MCMC iteration = 8176000

                       MCMC iteration = 8177000

                       MCMC iteration = 8178000

                       MCMC iteration = 8179000

                       MCMC iteration = 8180000

                       MCMC iteration = 8181000

                       MCMC iteration = 8182000

                       MCMC iteration = 8183000

                       MCMC iteration = 8184000

                       MCMC iteration = 8185000

                       MCMC iteration = 8186000

                       MCMC iteration = 8187000

                       MCMC iteration = 8188000

                       MCMC iteration = 8189000

                       MCMC iteration = 8190000

                       MCMC iteration = 8191000

                       MCMC iteration = 8192000

                       MCMC iteration = 8193000

                       MCMC iteration = 8194000

                       MCMC iteration = 8195000

                       MCMC iteration = 8196000

                       MCMC iteration = 8197000

                       MCMC iteration = 8198000

                       MCMC iteration = 8199000

                       MCMC iteration = 8200000

                       MCMC iteration = 8201000

                       MCMC iteration = 8202000

                       MCMC iteration = 8203000

                       MCMC iteration = 8204000

                       MCMC iteration = 8205000

                       MCMC iteration = 8206000

                       MCMC iteration = 8207000

                       MCMC iteration = 8208000

                       MCMC iteration = 8209000

                       MCMC iteration = 8210000

                       MCMC iteration = 8211000

                       MCMC iteration = 8212000

                       MCMC iteration = 8213000

                       MCMC iteration = 8214000

                       MCMC iteration = 8215000

                       MCMC iteration = 8216000

                       MCMC iteration = 8217000

                       MCMC iteration = 8218000

                       MCMC iteration = 8219000

                       MCMC iteration = 8220000

                       MCMC iteration = 8221000

                       MCMC iteration = 8222000

                       MCMC iteration = 8223000

                       MCMC iteration = 8224000

                       MCMC iteration = 8225000

                       MCMC iteration = 8226000

                       MCMC iteration = 8227000

                       MCMC iteration = 8228000

                       MCMC iteration = 8229000

                       MCMC iteration = 8230000

                       MCMC iteration = 8231000

                       MCMC iteration = 8232000

                       MCMC iteration = 8233000

                       MCMC iteration = 8234000

                       MCMC iteration = 8235000

                       MCMC iteration = 8236000

                       MCMC iteration = 8237000

                       MCMC iteration = 8238000

                       MCMC iteration = 8239000

                       MCMC iteration = 8240000

                       MCMC iteration = 8241000

                       MCMC iteration = 8242000

                       MCMC iteration = 8243000

                       MCMC iteration = 8244000

                       MCMC iteration = 8245000

                       MCMC iteration = 8246000

                       MCMC iteration = 8247000

                       MCMC iteration = 8248000

                       MCMC iteration = 8249000

                       MCMC iteration = 8250000

                       MCMC iteration = 8251000

                       MCMC iteration = 8252000

                       MCMC iteration = 8253000

                       MCMC iteration = 8254000

                       MCMC iteration = 8255000

                       MCMC iteration = 8256000

                       MCMC iteration = 8257000

                       MCMC iteration = 8258000

                       MCMC iteration = 8259000

                       MCMC iteration = 8260000

                       MCMC iteration = 8261000

                       MCMC iteration = 8262000

                       MCMC iteration = 8263000

                       MCMC iteration = 8264000

                       MCMC iteration = 8265000

                       MCMC iteration = 8266000

                       MCMC iteration = 8267000

                       MCMC iteration = 8268000

                       MCMC iteration = 8269000

                       MCMC iteration = 8270000

                       MCMC iteration = 8271000

                       MCMC iteration = 8272000

                       MCMC iteration = 8273000

                       MCMC iteration = 8274000

                       MCMC iteration = 8275000

                       MCMC iteration = 8276000

                       MCMC iteration = 8277000

                       MCMC iteration = 8278000

                       MCMC iteration = 8279000

                       MCMC iteration = 8280000

                       MCMC iteration = 8281000

                       MCMC iteration = 8282000

                       MCMC iteration = 8283000

                       MCMC iteration = 8284000

                       MCMC iteration = 8285000

                       MCMC iteration = 8286000

                       MCMC iteration = 8287000

                       MCMC iteration = 8288000

                       MCMC iteration = 8289000

                       MCMC iteration = 8290000

                       MCMC iteration = 8291000

                       MCMC iteration = 8292000

                       MCMC iteration = 8293000

                       MCMC iteration = 8294000

                       MCMC iteration = 8295000

                       MCMC iteration = 8296000

                       MCMC iteration = 8297000

                       MCMC iteration = 8298000

                       MCMC iteration = 8299000

                       MCMC iteration = 8300000

                       MCMC iteration = 8301000

                       MCMC iteration = 8302000

                       MCMC iteration = 8303000

                       MCMC iteration = 8304000

                       MCMC iteration = 8305000

                       MCMC iteration = 8306000

                       MCMC iteration = 8307000

                       MCMC iteration = 8308000

                       MCMC iteration = 8309000

                       MCMC iteration = 8310000

                       MCMC iteration = 8311000

                       MCMC iteration = 8312000

                       MCMC iteration = 8313000

                       MCMC iteration = 8314000

                       MCMC iteration = 8315000

                       MCMC iteration = 8316000

                       MCMC iteration = 8317000

                       MCMC iteration = 8318000

                       MCMC iteration = 8319000

                       MCMC iteration = 8320000

                       MCMC iteration = 8321000

                       MCMC iteration = 8322000

                       MCMC iteration = 8323000

                       MCMC iteration = 8324000

                       MCMC iteration = 8325000

                       MCMC iteration = 8326000

                       MCMC iteration = 8327000

                       MCMC iteration = 8328000

                       MCMC iteration = 8329000

                       MCMC iteration = 8330000

                       MCMC iteration = 8331000

                       MCMC iteration = 8332000

                       MCMC iteration = 8333000

                       MCMC iteration = 8334000

                       MCMC iteration = 8335000

                       MCMC iteration = 8336000

                       MCMC iteration = 8337000

                       MCMC iteration = 8338000

                       MCMC iteration = 8339000

                       MCMC iteration = 8340000

                       MCMC iteration = 8341000

                       MCMC iteration = 8342000

                       MCMC iteration = 8343000

                       MCMC iteration = 8344000

                       MCMC iteration = 8345000

                       MCMC iteration = 8346000

                       MCMC iteration = 8347000

                       MCMC iteration = 8348000

                       MCMC iteration = 8349000

                       MCMC iteration = 8350000

                       MCMC iteration = 8351000

                       MCMC iteration = 8352000

                       MCMC iteration = 8353000

                       MCMC iteration = 8354000

                       MCMC iteration = 8355000

                       MCMC iteration = 8356000

                       MCMC iteration = 8357000

                       MCMC iteration = 8358000

                       MCMC iteration = 8359000

                       MCMC iteration = 8360000

                       MCMC iteration = 8361000

                       MCMC iteration = 8362000

                       MCMC iteration = 8363000

                       MCMC iteration = 8364000

                       MCMC iteration = 8365000

                       MCMC iteration = 8366000

                       MCMC iteration = 8367000

                       MCMC iteration = 8368000

                       MCMC iteration = 8369000

                       MCMC iteration = 8370000

                       MCMC iteration = 8371000

                       MCMC iteration = 8372000

                       MCMC iteration = 8373000

                       MCMC iteration = 8374000

                       MCMC iteration = 8375000

                       MCMC iteration = 8376000

                       MCMC iteration = 8377000

                       MCMC iteration = 8378000

                       MCMC iteration = 8379000

                       MCMC iteration = 8380000

                       MCMC iteration = 8381000

                       MCMC iteration = 8382000

                       MCMC iteration = 8383000

                       MCMC iteration = 8384000

                       MCMC iteration = 8385000

                       MCMC iteration = 8386000

                       MCMC iteration = 8387000

                       MCMC iteration = 8388000

                       MCMC iteration = 8389000

                       MCMC iteration = 8390000

                       MCMC iteration = 8391000

                       MCMC iteration = 8392000

                       MCMC iteration = 8393000

                       MCMC iteration = 8394000

                       MCMC iteration = 8395000

                       MCMC iteration = 8396000

                       MCMC iteration = 8397000

                       MCMC iteration = 8398000

                       MCMC iteration = 8399000

                       MCMC iteration = 8400000

                       MCMC iteration = 8401000

                       MCMC iteration = 8402000

                       MCMC iteration = 8403000

                       MCMC iteration = 8404000

                       MCMC iteration = 8405000

                       MCMC iteration = 8406000

                       MCMC iteration = 8407000

                       MCMC iteration = 8408000

                       MCMC iteration = 8409000

                       MCMC iteration = 8410000

                       MCMC iteration = 8411000

                       MCMC iteration = 8412000

                       MCMC iteration = 8413000

                       MCMC iteration = 8414000

                       MCMC iteration = 8415000

                       MCMC iteration = 8416000

                       MCMC iteration = 8417000

                       MCMC iteration = 8418000

                       MCMC iteration = 8419000

                       MCMC iteration = 8420000

                       MCMC iteration = 8421000

                       MCMC iteration = 8422000

                       MCMC iteration = 8423000

                       MCMC iteration = 8424000

                       MCMC iteration = 8425000

                       MCMC iteration = 8426000

                       MCMC iteration = 8427000

                       MCMC iteration = 8428000

                       MCMC iteration = 8429000

                       MCMC iteration = 8430000

                       MCMC iteration = 8431000

                       MCMC iteration = 8432000

                       MCMC iteration = 8433000

                       MCMC iteration = 8434000

                       MCMC iteration = 8435000

                       MCMC iteration = 8436000

                       MCMC iteration = 8437000

                       MCMC iteration = 8438000

                       MCMC iteration = 8439000

                       MCMC iteration = 8440000

                       MCMC iteration = 8441000

                       MCMC iteration = 8442000

                       MCMC iteration = 8443000

                       MCMC iteration = 8444000

                       MCMC iteration = 8445000

                       MCMC iteration = 8446000

                       MCMC iteration = 8447000

                       MCMC iteration = 8448000

                       MCMC iteration = 8449000

                       MCMC iteration = 8450000

                       MCMC iteration = 8451000

                       MCMC iteration = 8452000

                       MCMC iteration = 8453000

                       MCMC iteration = 8454000

                       MCMC iteration = 8455000

                       MCMC iteration = 8456000

                       MCMC iteration = 8457000

                       MCMC iteration = 8458000

                       MCMC iteration = 8459000

                       MCMC iteration = 8460000

                       MCMC iteration = 8461000

                       MCMC iteration = 8462000

                       MCMC iteration = 8463000

                       MCMC iteration = 8464000

                       MCMC iteration = 8465000

                       MCMC iteration = 8466000

                       MCMC iteration = 8467000

                       MCMC iteration = 8468000

                       MCMC iteration = 8469000

                       MCMC iteration = 8470000

                       MCMC iteration = 8471000

                       MCMC iteration = 8472000

                       MCMC iteration = 8473000

                       MCMC iteration = 8474000

                       MCMC iteration = 8475000

                       MCMC iteration = 8476000

                       MCMC iteration = 8477000

                       MCMC iteration = 8478000

                       MCMC iteration = 8479000

                       MCMC iteration = 8480000

                       MCMC iteration = 8481000

                       MCMC iteration = 8482000

                       MCMC iteration = 8483000

                       MCMC iteration = 8484000

                       MCMC iteration = 8485000

                       MCMC iteration = 8486000

                       MCMC iteration = 8487000

                       MCMC iteration = 8488000

                       MCMC iteration = 8489000

                       MCMC iteration = 8490000

                       MCMC iteration = 8491000

                       MCMC iteration = 8492000

                       MCMC iteration = 8493000

                       MCMC iteration = 8494000

                       MCMC iteration = 8495000

                       MCMC iteration = 8496000

                       MCMC iteration = 8497000

                       MCMC iteration = 8498000

                       MCMC iteration = 8499000

                       MCMC iteration = 8500000

                       MCMC iteration = 8501000

                       MCMC iteration = 8502000

                       MCMC iteration = 8503000

                       MCMC iteration = 8504000

                       MCMC iteration = 8505000

                       MCMC iteration = 8506000

                       MCMC iteration = 8507000

                       MCMC iteration = 8508000

                       MCMC iteration = 8509000

                       MCMC iteration = 8510000

                       MCMC iteration = 8511000

                       MCMC iteration = 8512000

                       MCMC iteration = 8513000

                       MCMC iteration = 8514000

                       MCMC iteration = 8515000

                       MCMC iteration = 8516000

                       MCMC iteration = 8517000

                       MCMC iteration = 8518000

                       MCMC iteration = 8519000

                       MCMC iteration = 8520000

                       MCMC iteration = 8521000

                       MCMC iteration = 8522000

                       MCMC iteration = 8523000

                       MCMC iteration = 8524000

                       MCMC iteration = 8525000

                       MCMC iteration = 8526000

                       MCMC iteration = 8527000

                       MCMC iteration = 8528000

                       MCMC iteration = 8529000

                       MCMC iteration = 8530000

                       MCMC iteration = 8531000

                       MCMC iteration = 8532000

                       MCMC iteration = 8533000

                       MCMC iteration = 8534000

                       MCMC iteration = 8535000

                       MCMC iteration = 8536000

                       MCMC iteration = 8537000

                       MCMC iteration = 8538000

                       MCMC iteration = 8539000

                       MCMC iteration = 8540000

                       MCMC iteration = 8541000

                       MCMC iteration = 8542000

                       MCMC iteration = 8543000

                       MCMC iteration = 8544000

                       MCMC iteration = 8545000

                       MCMC iteration = 8546000

                       MCMC iteration = 8547000

                       MCMC iteration = 8548000

                       MCMC iteration = 8549000

                       MCMC iteration = 8550000

                       MCMC iteration = 8551000

                       MCMC iteration = 8552000

                       MCMC iteration = 8553000

                       MCMC iteration = 8554000

                       MCMC iteration = 8555000

                       MCMC iteration = 8556000

                       MCMC iteration = 8557000

                       MCMC iteration = 8558000

                       MCMC iteration = 8559000

                       MCMC iteration = 8560000

                       MCMC iteration = 8561000

                       MCMC iteration = 8562000

                       MCMC iteration = 8563000

                       MCMC iteration = 8564000

                       MCMC iteration = 8565000

                       MCMC iteration = 8566000

                       MCMC iteration = 8567000

                       MCMC iteration = 8568000

                       MCMC iteration = 8569000

                       MCMC iteration = 8570000

                       MCMC iteration = 8571000

                       MCMC iteration = 8572000

                       MCMC iteration = 8573000

                       MCMC iteration = 8574000

                       MCMC iteration = 8575000

                       MCMC iteration = 8576000

                       MCMC iteration = 8577000

                       MCMC iteration = 8578000

                       MCMC iteration = 8579000

                       MCMC iteration = 8580000

                       MCMC iteration = 8581000

                       MCMC iteration = 8582000

                       MCMC iteration = 8583000

                       MCMC iteration = 8584000

                       MCMC iteration = 8585000

                       MCMC iteration = 8586000

                       MCMC iteration = 8587000

                       MCMC iteration = 8588000

                       MCMC iteration = 8589000

                       MCMC iteration = 8590000

                       MCMC iteration = 8591000

                       MCMC iteration = 8592000

                       MCMC iteration = 8593000

                       MCMC iteration = 8594000

                       MCMC iteration = 8595000

                       MCMC iteration = 8596000

                       MCMC iteration = 8597000

                       MCMC iteration = 8598000

                       MCMC iteration = 8599000

                       MCMC iteration = 8600000

                       MCMC iteration = 8601000

                       MCMC iteration = 8602000

                       MCMC iteration = 8603000

                       MCMC iteration = 8604000

                       MCMC iteration = 8605000

                       MCMC iteration = 8606000

                       MCMC iteration = 8607000

                       MCMC iteration = 8608000

                       MCMC iteration = 8609000

                       MCMC iteration = 8610000

                       MCMC iteration = 8611000

                       MCMC iteration = 8612000

                       MCMC iteration = 8613000

                       MCMC iteration = 8614000

                       MCMC iteration = 8615000

                       MCMC iteration = 8616000

                       MCMC iteration = 8617000

                       MCMC iteration = 8618000

                       MCMC iteration = 8619000

                       MCMC iteration = 8620000

                       MCMC iteration = 8621000

                       MCMC iteration = 8622000

                       MCMC iteration = 8623000

                       MCMC iteration = 8624000

                       MCMC iteration = 8625000

                       MCMC iteration = 8626000

                       MCMC iteration = 8627000

                       MCMC iteration = 8628000

                       MCMC iteration = 8629000

                       MCMC iteration = 8630000

                       MCMC iteration = 8631000

                       MCMC iteration = 8632000

                       MCMC iteration = 8633000

                       MCMC iteration = 8634000

                       MCMC iteration = 8635000

                       MCMC iteration = 8636000

                       MCMC iteration = 8637000

                       MCMC iteration = 8638000

                       MCMC iteration = 8639000

                       MCMC iteration = 8640000

                       MCMC iteration = 8641000

                       MCMC iteration = 8642000

                       MCMC iteration = 8643000

                       MCMC iteration = 8644000

                       MCMC iteration = 8645000

                       MCMC iteration = 8646000

                       MCMC iteration = 8647000

                       MCMC iteration = 8648000

                       MCMC iteration = 8649000

                       MCMC iteration = 8650000

                       MCMC iteration = 8651000

                       MCMC iteration = 8652000

                       MCMC iteration = 8653000

                       MCMC iteration = 8654000

                       MCMC iteration = 8655000

                       MCMC iteration = 8656000

                       MCMC iteration = 8657000

                       MCMC iteration = 8658000

                       MCMC iteration = 8659000

                       MCMC iteration = 8660000

                       MCMC iteration = 8661000

                       MCMC iteration = 8662000

                       MCMC iteration = 8663000

                       MCMC iteration = 8664000

                       MCMC iteration = 8665000

                       MCMC iteration = 8666000

                       MCMC iteration = 8667000

                       MCMC iteration = 8668000

                       MCMC iteration = 8669000

                       MCMC iteration = 8670000

                       MCMC iteration = 8671000

                       MCMC iteration = 8672000

                       MCMC iteration = 8673000

                       MCMC iteration = 8674000

                       MCMC iteration = 8675000

                       MCMC iteration = 8676000

                       MCMC iteration = 8677000

                       MCMC iteration = 8678000

                       MCMC iteration = 8679000

                       MCMC iteration = 8680000

                       MCMC iteration = 8681000

                       MCMC iteration = 8682000

                       MCMC iteration = 8683000

                       MCMC iteration = 8684000

                       MCMC iteration = 8685000

                       MCMC iteration = 8686000

                       MCMC iteration = 8687000

                       MCMC iteration = 8688000

                       MCMC iteration = 8689000

                       MCMC iteration = 8690000

                       MCMC iteration = 8691000

                       MCMC iteration = 8692000

                       MCMC iteration = 8693000

                       MCMC iteration = 8694000

                       MCMC iteration = 8695000

                       MCMC iteration = 8696000

                       MCMC iteration = 8697000

                       MCMC iteration = 8698000

                       MCMC iteration = 8699000

                       MCMC iteration = 8700000

                       MCMC iteration = 8701000

                       MCMC iteration = 8702000

                       MCMC iteration = 8703000

                       MCMC iteration = 8704000

                       MCMC iteration = 8705000

                       MCMC iteration = 8706000

                       MCMC iteration = 8707000

                       MCMC iteration = 8708000

                       MCMC iteration = 8709000

                       MCMC iteration = 8710000

                       MCMC iteration = 8711000

                       MCMC iteration = 8712000

                       MCMC iteration = 8713000

                       MCMC iteration = 8714000

                       MCMC iteration = 8715000

                       MCMC iteration = 8716000

                       MCMC iteration = 8717000

                       MCMC iteration = 8718000

                       MCMC iteration = 8719000

                       MCMC iteration = 8720000

                       MCMC iteration = 8721000

                       MCMC iteration = 8722000

                       MCMC iteration = 8723000

                       MCMC iteration = 8724000

                       MCMC iteration = 8725000

                       MCMC iteration = 8726000

                       MCMC iteration = 8727000

                       MCMC iteration = 8728000

                       MCMC iteration = 8729000

                       MCMC iteration = 8730000

                       MCMC iteration = 8731000

                       MCMC iteration = 8732000

                       MCMC iteration = 8733000

                       MCMC iteration = 8734000

                       MCMC iteration = 8735000

                       MCMC iteration = 8736000

                       MCMC iteration = 8737000

                       MCMC iteration = 8738000

                       MCMC iteration = 8739000

                       MCMC iteration = 8740000

                       MCMC iteration = 8741000

                       MCMC iteration = 8742000

                       MCMC iteration = 8743000

                       MCMC iteration = 8744000

                       MCMC iteration = 8745000

                       MCMC iteration = 8746000

                       MCMC iteration = 8747000

                       MCMC iteration = 8748000

                       MCMC iteration = 8749000

                       MCMC iteration = 8750000

                       MCMC iteration = 8751000

                       MCMC iteration = 8752000

                       MCMC iteration = 8753000

                       MCMC iteration = 8754000

                       MCMC iteration = 8755000

                       MCMC iteration = 8756000

                       MCMC iteration = 8757000

                       MCMC iteration = 8758000

                       MCMC iteration = 8759000

                       MCMC iteration = 8760000

                       MCMC iteration = 8761000

                       MCMC iteration = 8762000

                       MCMC iteration = 8763000

                       MCMC iteration = 8764000

                       MCMC iteration = 8765000

                       MCMC iteration = 8766000

                       MCMC iteration = 8767000

                       MCMC iteration = 8768000

                       MCMC iteration = 8769000

                       MCMC iteration = 8770000

                       MCMC iteration = 8771000

                       MCMC iteration = 8772000

                       MCMC iteration = 8773000

                       MCMC iteration = 8774000

                       MCMC iteration = 8775000

                       MCMC iteration = 8776000

                       MCMC iteration = 8777000

                       MCMC iteration = 8778000

                       MCMC iteration = 8779000

                       MCMC iteration = 8780000

                       MCMC iteration = 8781000

                       MCMC iteration = 8782000

                       MCMC iteration = 8783000

                       MCMC iteration = 8784000

                       MCMC iteration = 8785000

                       MCMC iteration = 8786000

                       MCMC iteration = 8787000

                       MCMC iteration = 8788000

                       MCMC iteration = 8789000

                       MCMC iteration = 8790000

                       MCMC iteration = 8791000

                       MCMC iteration = 8792000

                       MCMC iteration = 8793000

                       MCMC iteration = 8794000

                       MCMC iteration = 8795000

                       MCMC iteration = 8796000

                       MCMC iteration = 8797000

                       MCMC iteration = 8798000

                       MCMC iteration = 8799000

                       MCMC iteration = 8800000

                       MCMC iteration = 8801000

                       MCMC iteration = 8802000

                       MCMC iteration = 8803000

                       MCMC iteration = 8804000

                       MCMC iteration = 8805000

                       MCMC iteration = 8806000

                       MCMC iteration = 8807000

                       MCMC iteration = 8808000

                       MCMC iteration = 8809000

                       MCMC iteration = 8810000

                       MCMC iteration = 8811000

                       MCMC iteration = 8812000

                       MCMC iteration = 8813000

                       MCMC iteration = 8814000

                       MCMC iteration = 8815000

                       MCMC iteration = 8816000

                       MCMC iteration = 8817000

                       MCMC iteration = 8818000

                       MCMC iteration = 8819000

                       MCMC iteration = 8820000

                       MCMC iteration = 8821000

                       MCMC iteration = 8822000

                       MCMC iteration = 8823000

                       MCMC iteration = 8824000

                       MCMC iteration = 8825000

                       MCMC iteration = 8826000

                       MCMC iteration = 8827000

                       MCMC iteration = 8828000

                       MCMC iteration = 8829000

                       MCMC iteration = 8830000

                       MCMC iteration = 8831000

                       MCMC iteration = 8832000

                       MCMC iteration = 8833000

                       MCMC iteration = 8834000

                       MCMC iteration = 8835000

                       MCMC iteration = 8836000

                       MCMC iteration = 8837000

                       MCMC iteration = 8838000

                       MCMC iteration = 8839000

                       MCMC iteration = 8840000

                       MCMC iteration = 8841000

                       MCMC iteration = 8842000

                       MCMC iteration = 8843000

                       MCMC iteration = 8844000

                       MCMC iteration = 8845000

                       MCMC iteration = 8846000

                       MCMC iteration = 8847000

                       MCMC iteration = 8848000

                       MCMC iteration = 8849000

                       MCMC iteration = 8850000

                       MCMC iteration = 8851000

                       MCMC iteration = 8852000

                       MCMC iteration = 8853000

                       MCMC iteration = 8854000

                       MCMC iteration = 8855000

                       MCMC iteration = 8856000

                       MCMC iteration = 8857000

                       MCMC iteration = 8858000

                       MCMC iteration = 8859000

                       MCMC iteration = 8860000

                       MCMC iteration = 8861000

                       MCMC iteration = 8862000

                       MCMC iteration = 8863000

                       MCMC iteration = 8864000

                       MCMC iteration = 8865000

                       MCMC iteration = 8866000

                       MCMC iteration = 8867000

                       MCMC iteration = 8868000

                       MCMC iteration = 8869000

                       MCMC iteration = 8870000

                       MCMC iteration = 8871000

                       MCMC iteration = 8872000

                       MCMC iteration = 8873000

                       MCMC iteration = 8874000

                       MCMC iteration = 8875000

                       MCMC iteration = 8876000

                       MCMC iteration = 8877000

                       MCMC iteration = 8878000

                       MCMC iteration = 8879000

                       MCMC iteration = 8880000

                       MCMC iteration = 8881000

                       MCMC iteration = 8882000

                       MCMC iteration = 8883000

                       MCMC iteration = 8884000

                       MCMC iteration = 8885000

                       MCMC iteration = 8886000

                       MCMC iteration = 8887000

                       MCMC iteration = 8888000

                       MCMC iteration = 8889000

                       MCMC iteration = 8890000

                       MCMC iteration = 8891000

                       MCMC iteration = 8892000

                       MCMC iteration = 8893000

                       MCMC iteration = 8894000

                       MCMC iteration = 8895000

                       MCMC iteration = 8896000

                       MCMC iteration = 8897000

                       MCMC iteration = 8898000

                       MCMC iteration = 8899000

                       MCMC iteration = 8900000

                       MCMC iteration = 8901000

                       MCMC iteration = 8902000

                       MCMC iteration = 8903000

                       MCMC iteration = 8904000

                       MCMC iteration = 8905000

                       MCMC iteration = 8906000

                       MCMC iteration = 8907000

                       MCMC iteration = 8908000

                       MCMC iteration = 8909000

                       MCMC iteration = 8910000

                       MCMC iteration = 8911000

                       MCMC iteration = 8912000

                       MCMC iteration = 8913000

                       MCMC iteration = 8914000

                       MCMC iteration = 8915000

                       MCMC iteration = 8916000

                       MCMC iteration = 8917000

                       MCMC iteration = 8918000

                       MCMC iteration = 8919000

                       MCMC iteration = 8920000

                       MCMC iteration = 8921000

                       MCMC iteration = 8922000

                       MCMC iteration = 8923000

                       MCMC iteration = 8924000

                       MCMC iteration = 8925000

                       MCMC iteration = 8926000

                       MCMC iteration = 8927000

                       MCMC iteration = 8928000

                       MCMC iteration = 8929000

                       MCMC iteration = 8930000

                       MCMC iteration = 8931000

                       MCMC iteration = 8932000

                       MCMC iteration = 8933000

                       MCMC iteration = 8934000

                       MCMC iteration = 8935000

                       MCMC iteration = 8936000

                       MCMC iteration = 8937000

                       MCMC iteration = 8938000

                       MCMC iteration = 8939000

                       MCMC iteration = 8940000

                       MCMC iteration = 8941000

                       MCMC iteration = 8942000

                       MCMC iteration = 8943000

                       MCMC iteration = 8944000

                       MCMC iteration = 8945000

                       MCMC iteration = 8946000

                       MCMC iteration = 8947000

                       MCMC iteration = 8948000

                       MCMC iteration = 8949000

                       MCMC iteration = 8950000

                       MCMC iteration = 8951000

                       MCMC iteration = 8952000

                       MCMC iteration = 8953000

                       MCMC iteration = 8954000

                       MCMC iteration = 8955000

                       MCMC iteration = 8956000

                       MCMC iteration = 8957000

                       MCMC iteration = 8958000

                       MCMC iteration = 8959000

                       MCMC iteration = 8960000

                       MCMC iteration = 8961000

                       MCMC iteration = 8962000

                       MCMC iteration = 8963000

                       MCMC iteration = 8964000

                       MCMC iteration = 8965000

                       MCMC iteration = 8966000

                       MCMC iteration = 8967000

                       MCMC iteration = 8968000

                       MCMC iteration = 8969000

                       MCMC iteration = 8970000

                       MCMC iteration = 8971000

                       MCMC iteration = 8972000

                       MCMC iteration = 8973000

                       MCMC iteration = 8974000

                       MCMC iteration = 8975000

                       MCMC iteration = 8976000

                       MCMC iteration = 8977000

                       MCMC iteration = 8978000

                       MCMC iteration = 8979000

                       MCMC iteration = 8980000

                       MCMC iteration = 8981000

                       MCMC iteration = 8982000

                       MCMC iteration = 8983000

                       MCMC iteration = 8984000

                       MCMC iteration = 8985000

                       MCMC iteration = 8986000

                       MCMC iteration = 8987000

                       MCMC iteration = 8988000

                       MCMC iteration = 8989000

                       MCMC iteration = 8990000

                       MCMC iteration = 8991000

                       MCMC iteration = 8992000

                       MCMC iteration = 8993000

                       MCMC iteration = 8994000

                       MCMC iteration = 8995000

                       MCMC iteration = 8996000

                       MCMC iteration = 8997000

                       MCMC iteration = 8998000

                       MCMC iteration = 8999000

                       MCMC iteration = 9000000

                       MCMC iteration = 9001000

                       MCMC iteration = 9002000

                       MCMC iteration = 9003000

                       MCMC iteration = 9004000

                       MCMC iteration = 9005000

                       MCMC iteration = 9006000

                       MCMC iteration = 9007000

                       MCMC iteration = 9008000

                       MCMC iteration = 9009000

                       MCMC iteration = 9010000

                       MCMC iteration = 9011000

                       MCMC iteration = 9012000

                       MCMC iteration = 9013000

                       MCMC iteration = 9014000

                       MCMC iteration = 9015000

                       MCMC iteration = 9016000

                       MCMC iteration = 9017000

                       MCMC iteration = 9018000

                       MCMC iteration = 9019000

                       MCMC iteration = 9020000

                       MCMC iteration = 9021000

                       MCMC iteration = 9022000

                       MCMC iteration = 9023000

                       MCMC iteration = 9024000

                       MCMC iteration = 9025000

                       MCMC iteration = 9026000

                       MCMC iteration = 9027000

                       MCMC iteration = 9028000

                       MCMC iteration = 9029000

                       MCMC iteration = 9030000

                       MCMC iteration = 9031000

                       MCMC iteration = 9032000

                       MCMC iteration = 9033000

                       MCMC iteration = 9034000

                       MCMC iteration = 9035000

                       MCMC iteration = 9036000

                       MCMC iteration = 9037000

                       MCMC iteration = 9038000

                       MCMC iteration = 9039000

                       MCMC iteration = 9040000

                       MCMC iteration = 9041000

                       MCMC iteration = 9042000

                       MCMC iteration = 9043000

                       MCMC iteration = 9044000

                       MCMC iteration = 9045000

                       MCMC iteration = 9046000

                       MCMC iteration = 9047000

                       MCMC iteration = 9048000

                       MCMC iteration = 9049000

                       MCMC iteration = 9050000

                       MCMC iteration = 9051000

                       MCMC iteration = 9052000

                       MCMC iteration = 9053000

                       MCMC iteration = 9054000

                       MCMC iteration = 9055000

                       MCMC iteration = 9056000

                       MCMC iteration = 9057000

                       MCMC iteration = 9058000

                       MCMC iteration = 9059000

                       MCMC iteration = 9060000

                       MCMC iteration = 9061000

                       MCMC iteration = 9062000

                       MCMC iteration = 9063000

                       MCMC iteration = 9064000

                       MCMC iteration = 9065000

                       MCMC iteration = 9066000

                       MCMC iteration = 9067000

                       MCMC iteration = 9068000

                       MCMC iteration = 9069000

                       MCMC iteration = 9070000

                       MCMC iteration = 9071000

                       MCMC iteration = 9072000

                       MCMC iteration = 9073000

                       MCMC iteration = 9074000

                       MCMC iteration = 9075000

                       MCMC iteration = 9076000

                       MCMC iteration = 9077000

                       MCMC iteration = 9078000

                       MCMC iteration = 9079000

                       MCMC iteration = 9080000

                       MCMC iteration = 9081000

                       MCMC iteration = 9082000

                       MCMC iteration = 9083000

                       MCMC iteration = 9084000

                       MCMC iteration = 9085000

                       MCMC iteration = 9086000

                       MCMC iteration = 9087000

                       MCMC iteration = 9088000

                       MCMC iteration = 9089000

                       MCMC iteration = 9090000

                       MCMC iteration = 9091000

                       MCMC iteration = 9092000

                       MCMC iteration = 9093000

                       MCMC iteration = 9094000

                       MCMC iteration = 9095000

                       MCMC iteration = 9096000

                       MCMC iteration = 9097000

                       MCMC iteration = 9098000

                       MCMC iteration = 9099000

                       MCMC iteration = 9100000

                       MCMC iteration = 9101000

                       MCMC iteration = 9102000

                       MCMC iteration = 9103000

                       MCMC iteration = 9104000

                       MCMC iteration = 9105000

                       MCMC iteration = 9106000

                       MCMC iteration = 9107000

                       MCMC iteration = 9108000

                       MCMC iteration = 9109000

                       MCMC iteration = 9110000

                       MCMC iteration = 9111000

                       MCMC iteration = 9112000

                       MCMC iteration = 9113000

                       MCMC iteration = 9114000

                       MCMC iteration = 9115000

                       MCMC iteration = 9116000

                       MCMC iteration = 9117000

                       MCMC iteration = 9118000

                       MCMC iteration = 9119000

                       MCMC iteration = 9120000

                       MCMC iteration = 9121000

                       MCMC iteration = 9122000

                       MCMC iteration = 9123000

                       MCMC iteration = 9124000

                       MCMC iteration = 9125000

                       MCMC iteration = 9126000

                       MCMC iteration = 9127000

                       MCMC iteration = 9128000

                       MCMC iteration = 9129000

                       MCMC iteration = 9130000

                       MCMC iteration = 9131000

                       MCMC iteration = 9132000

                       MCMC iteration = 9133000

                       MCMC iteration = 9134000

                       MCMC iteration = 9135000

                       MCMC iteration = 9136000

                       MCMC iteration = 9137000

                       MCMC iteration = 9138000

                       MCMC iteration = 9139000

                       MCMC iteration = 9140000

                       MCMC iteration = 9141000

                       MCMC iteration = 9142000

                       MCMC iteration = 9143000

                       MCMC iteration = 9144000

                       MCMC iteration = 9145000

                       MCMC iteration = 9146000

                       MCMC iteration = 9147000

                       MCMC iteration = 9148000

                       MCMC iteration = 9149000

                       MCMC iteration = 9150000

                       MCMC iteration = 9151000

                       MCMC iteration = 9152000

                       MCMC iteration = 9153000

                       MCMC iteration = 9154000

                       MCMC iteration = 9155000

                       MCMC iteration = 9156000

                       MCMC iteration = 9157000

                       MCMC iteration = 9158000

                       MCMC iteration = 9159000

                       MCMC iteration = 9160000

                       MCMC iteration = 9161000

                       MCMC iteration = 9162000

                       MCMC iteration = 9163000

                       MCMC iteration = 9164000

                       MCMC iteration = 9165000

                       MCMC iteration = 9166000

                       MCMC iteration = 9167000

                       MCMC iteration = 9168000

                       MCMC iteration = 9169000

                       MCMC iteration = 9170000

                       MCMC iteration = 9171000

                       MCMC iteration = 9172000

                       MCMC iteration = 9173000

                       MCMC iteration = 9174000

                       MCMC iteration = 9175000

                       MCMC iteration = 9176000

                       MCMC iteration = 9177000

                       MCMC iteration = 9178000

                       MCMC iteration = 9179000

                       MCMC iteration = 9180000

                       MCMC iteration = 9181000

                       MCMC iteration = 9182000

                       MCMC iteration = 9183000

                       MCMC iteration = 9184000

                       MCMC iteration = 9185000

                       MCMC iteration = 9186000

                       MCMC iteration = 9187000

                       MCMC iteration = 9188000

                       MCMC iteration = 9189000

                       MCMC iteration = 9190000

                       MCMC iteration = 9191000

                       MCMC iteration = 9192000

                       MCMC iteration = 9193000

                       MCMC iteration = 9194000

                       MCMC iteration = 9195000

                       MCMC iteration = 9196000

                       MCMC iteration = 9197000

                       MCMC iteration = 9198000

                       MCMC iteration = 9199000

                       MCMC iteration = 9200000

                       MCMC iteration = 9201000

                       MCMC iteration = 9202000

                       MCMC iteration = 9203000

                       MCMC iteration = 9204000

                       MCMC iteration = 9205000

                       MCMC iteration = 9206000

                       MCMC iteration = 9207000

                       MCMC iteration = 9208000

                       MCMC iteration = 9209000

                       MCMC iteration = 9210000

                       MCMC iteration = 9211000

                       MCMC iteration = 9212000

                       MCMC iteration = 9213000

                       MCMC iteration = 9214000

                       MCMC iteration = 9215000

                       MCMC iteration = 9216000

                       MCMC iteration = 9217000

                       MCMC iteration = 9218000

                       MCMC iteration = 9219000

                       MCMC iteration = 9220000

                       MCMC iteration = 9221000

                       MCMC iteration = 9222000

                       MCMC iteration = 9223000

                       MCMC iteration = 9224000

                       MCMC iteration = 9225000

                       MCMC iteration = 9226000

                       MCMC iteration = 9227000

                       MCMC iteration = 9228000

                       MCMC iteration = 9229000

                       MCMC iteration = 9230000

                       MCMC iteration = 9231000

                       MCMC iteration = 9232000

                       MCMC iteration = 9233000

                       MCMC iteration = 9234000

                       MCMC iteration = 9235000

                       MCMC iteration = 9236000

                       MCMC iteration = 9237000

                       MCMC iteration = 9238000

                       MCMC iteration = 9239000

                       MCMC iteration = 9240000

                       MCMC iteration = 9241000

                       MCMC iteration = 9242000

                       MCMC iteration = 9243000

                       MCMC iteration = 9244000

                       MCMC iteration = 9245000

                       MCMC iteration = 9246000

                       MCMC iteration = 9247000

                       MCMC iteration = 9248000

                       MCMC iteration = 9249000

                       MCMC iteration = 9250000

                       MCMC iteration = 9251000

                       MCMC iteration = 9252000

                       MCMC iteration = 9253000

                       MCMC iteration = 9254000

                       MCMC iteration = 9255000

                       MCMC iteration = 9256000

                       MCMC iteration = 9257000

                       MCMC iteration = 9258000

                       MCMC iteration = 9259000

                       MCMC iteration = 9260000

                       MCMC iteration = 9261000

                       MCMC iteration = 9262000

                       MCMC iteration = 9263000

                       MCMC iteration = 9264000

                       MCMC iteration = 9265000

                       MCMC iteration = 9266000

                       MCMC iteration = 9267000

                       MCMC iteration = 9268000

                       MCMC iteration = 9269000

                       MCMC iteration = 9270000

                       MCMC iteration = 9271000

                       MCMC iteration = 9272000

                       MCMC iteration = 9273000

                       MCMC iteration = 9274000

                       MCMC iteration = 9275000

                       MCMC iteration = 9276000

                       MCMC iteration = 9277000

                       MCMC iteration = 9278000

                       MCMC iteration = 9279000

                       MCMC iteration = 9280000

                       MCMC iteration = 9281000

                       MCMC iteration = 9282000

                       MCMC iteration = 9283000

                       MCMC iteration = 9284000

                       MCMC iteration = 9285000

                       MCMC iteration = 9286000

                       MCMC iteration = 9287000

                       MCMC iteration = 9288000

                       MCMC iteration = 9289000

                       MCMC iteration = 9290000

                       MCMC iteration = 9291000

                       MCMC iteration = 9292000

                       MCMC iteration = 9293000

                       MCMC iteration = 9294000

                       MCMC iteration = 9295000

                       MCMC iteration = 9296000

                       MCMC iteration = 9297000

                       MCMC iteration = 9298000

                       MCMC iteration = 9299000

                       MCMC iteration = 9300000

                       MCMC iteration = 9301000

                       MCMC iteration = 9302000

                       MCMC iteration = 9303000

                       MCMC iteration = 9304000

                       MCMC iteration = 9305000

                       MCMC iteration = 9306000

                       MCMC iteration = 9307000

                       MCMC iteration = 9308000

                       MCMC iteration = 9309000

                       MCMC iteration = 9310000

                       MCMC iteration = 9311000

                       MCMC iteration = 9312000

                       MCMC iteration = 9313000

                       MCMC iteration = 9314000

                       MCMC iteration = 9315000

                       MCMC iteration = 9316000

                       MCMC iteration = 9317000

                       MCMC iteration = 9318000

                       MCMC iteration = 9319000

                       MCMC iteration = 9320000

                       MCMC iteration = 9321000

                       MCMC iteration = 9322000

                       MCMC iteration = 9323000

                       MCMC iteration = 9324000

                       MCMC iteration = 9325000

                       MCMC iteration = 9326000

                       MCMC iteration = 9327000

                       MCMC iteration = 9328000

                       MCMC iteration = 9329000

                       MCMC iteration = 9330000

                       MCMC iteration = 9331000

                       MCMC iteration = 9332000

                       MCMC iteration = 9333000

                       MCMC iteration = 9334000

                       MCMC iteration = 9335000

                       MCMC iteration = 9336000

                       MCMC iteration = 9337000

                       MCMC iteration = 9338000

                       MCMC iteration = 9339000

                       MCMC iteration = 9340000

                       MCMC iteration = 9341000

                       MCMC iteration = 9342000

                       MCMC iteration = 9343000

                       MCMC iteration = 9344000

                       MCMC iteration = 9345000

                       MCMC iteration = 9346000

                       MCMC iteration = 9347000

                       MCMC iteration = 9348000

                       MCMC iteration = 9349000

                       MCMC iteration = 9350000

                       MCMC iteration = 9351000

                       MCMC iteration = 9352000

                       MCMC iteration = 9353000

                       MCMC iteration = 9354000

                       MCMC iteration = 9355000

                       MCMC iteration = 9356000

                       MCMC iteration = 9357000

                       MCMC iteration = 9358000

                       MCMC iteration = 9359000

                       MCMC iteration = 9360000

                       MCMC iteration = 9361000

                       MCMC iteration = 9362000

                       MCMC iteration = 9363000

                       MCMC iteration = 9364000

                       MCMC iteration = 9365000

                       MCMC iteration = 9366000

                       MCMC iteration = 9367000

                       MCMC iteration = 9368000

                       MCMC iteration = 9369000

                       MCMC iteration = 9370000

                       MCMC iteration = 9371000

                       MCMC iteration = 9372000

                       MCMC iteration = 9373000

                       MCMC iteration = 9374000

                       MCMC iteration = 9375000

                       MCMC iteration = 9376000

                       MCMC iteration = 9377000

                       MCMC iteration = 9378000

                       MCMC iteration = 9379000

                       MCMC iteration = 9380000

                       MCMC iteration = 9381000

                       MCMC iteration = 9382000

                       MCMC iteration = 9383000

                       MCMC iteration = 9384000

                       MCMC iteration = 9385000

                       MCMC iteration = 9386000

                       MCMC iteration = 9387000

                       MCMC iteration = 9388000

                       MCMC iteration = 9389000

                       MCMC iteration = 9390000

                       MCMC iteration = 9391000

                       MCMC iteration = 9392000

                       MCMC iteration = 9393000

                       MCMC iteration = 9394000

                       MCMC iteration = 9395000

                       MCMC iteration = 9396000

                       MCMC iteration = 9397000

                       MCMC iteration = 9398000

                       MCMC iteration = 9399000

                       MCMC iteration = 9400000

                       MCMC iteration = 9401000

                       MCMC iteration = 9402000

                       MCMC iteration = 9403000

                       MCMC iteration = 9404000

                       MCMC iteration = 9405000

                       MCMC iteration = 9406000

                       MCMC iteration = 9407000

                       MCMC iteration = 9408000

                       MCMC iteration = 9409000

                       MCMC iteration = 9410000

                       MCMC iteration = 9411000

                       MCMC iteration = 9412000

                       MCMC iteration = 9413000

                       MCMC iteration = 9414000

                       MCMC iteration = 9415000

                       MCMC iteration = 9416000

                       MCMC iteration = 9417000

                       MCMC iteration = 9418000

                       MCMC iteration = 9419000

                       MCMC iteration = 9420000

                       MCMC iteration = 9421000

                       MCMC iteration = 9422000

                       MCMC iteration = 9423000

                       MCMC iteration = 9424000

                       MCMC iteration = 9425000

                       MCMC iteration = 9426000

                       MCMC iteration = 9427000

                       MCMC iteration = 9428000

                       MCMC iteration = 9429000

                       MCMC iteration = 9430000

                       MCMC iteration = 9431000

                       MCMC iteration = 9432000

                       MCMC iteration = 9433000

                       MCMC iteration = 9434000

                       MCMC iteration = 9435000

                       MCMC iteration = 9436000

                       MCMC iteration = 9437000

                       MCMC iteration = 9438000

                       MCMC iteration = 9439000

                       MCMC iteration = 9440000

                       MCMC iteration = 9441000

                       MCMC iteration = 9442000

                       MCMC iteration = 9443000

                       MCMC iteration = 9444000

                       MCMC iteration = 9445000

                       MCMC iteration = 9446000

                       MCMC iteration = 9447000

                       MCMC iteration = 9448000

                       MCMC iteration = 9449000

                       MCMC iteration = 9450000

                       MCMC iteration = 9451000

                       MCMC iteration = 9452000

                       MCMC iteration = 9453000

                       MCMC iteration = 9454000

                       MCMC iteration = 9455000

                       MCMC iteration = 9456000

                       MCMC iteration = 9457000

                       MCMC iteration = 9458000

                       MCMC iteration = 9459000

                       MCMC iteration = 9460000

                       MCMC iteration = 9461000

                       MCMC iteration = 9462000

                       MCMC iteration = 9463000

                       MCMC iteration = 9464000

                       MCMC iteration = 9465000

                       MCMC iteration = 9466000

                       MCMC iteration = 9467000

                       MCMC iteration = 9468000

                       MCMC iteration = 9469000

                       MCMC iteration = 9470000

                       MCMC iteration = 9471000

                       MCMC iteration = 9472000

                       MCMC iteration = 9473000

                       MCMC iteration = 9474000

                       MCMC iteration = 9475000

                       MCMC iteration = 9476000

                       MCMC iteration = 9477000

                       MCMC iteration = 9478000

                       MCMC iteration = 9479000

                       MCMC iteration = 9480000

                       MCMC iteration = 9481000

                       MCMC iteration = 9482000

                       MCMC iteration = 9483000

                       MCMC iteration = 9484000

                       MCMC iteration = 9485000

                       MCMC iteration = 9486000

                       MCMC iteration = 9487000

                       MCMC iteration = 9488000

                       MCMC iteration = 9489000

                       MCMC iteration = 9490000

                       MCMC iteration = 9491000

                       MCMC iteration = 9492000

                       MCMC iteration = 9493000

                       MCMC iteration = 9494000

                       MCMC iteration = 9495000

                       MCMC iteration = 9496000

                       MCMC iteration = 9497000

                       MCMC iteration = 9498000

                       MCMC iteration = 9499000

                       MCMC iteration = 9500000

                       MCMC iteration = 9501000

                       MCMC iteration = 9502000

                       MCMC iteration = 9503000

                       MCMC iteration = 9504000

                       MCMC iteration = 9505000

                       MCMC iteration = 9506000

                       MCMC iteration = 9507000

                       MCMC iteration = 9508000

                       MCMC iteration = 9509000

                       MCMC iteration = 9510000

                       MCMC iteration = 9511000

                       MCMC iteration = 9512000

                       MCMC iteration = 9513000

                       MCMC iteration = 9514000

                       MCMC iteration = 9515000

                       MCMC iteration = 9516000

                       MCMC iteration = 9517000

                       MCMC iteration = 9518000

                       MCMC iteration = 9519000

                       MCMC iteration = 9520000

                       MCMC iteration = 9521000

                       MCMC iteration = 9522000

                       MCMC iteration = 9523000

                       MCMC iteration = 9524000

                       MCMC iteration = 9525000

                       MCMC iteration = 9526000

                       MCMC iteration = 9527000

                       MCMC iteration = 9528000

                       MCMC iteration = 9529000

                       MCMC iteration = 9530000

                       MCMC iteration = 9531000

                       MCMC iteration = 9532000

                       MCMC iteration = 9533000

                       MCMC iteration = 9534000

                       MCMC iteration = 9535000

                       MCMC iteration = 9536000

                       MCMC iteration = 9537000

                       MCMC iteration = 9538000

                       MCMC iteration = 9539000

                       MCMC iteration = 9540000

                       MCMC iteration = 9541000

                       MCMC iteration = 9542000

                       MCMC iteration = 9543000

                       MCMC iteration = 9544000

                       MCMC iteration = 9545000

                       MCMC iteration = 9546000

                       MCMC iteration = 9547000

                       MCMC iteration = 9548000

                       MCMC iteration = 9549000

                       MCMC iteration = 9550000

                       MCMC iteration = 9551000

                       MCMC iteration = 9552000

                       MCMC iteration = 9553000

                       MCMC iteration = 9554000

                       MCMC iteration = 9555000

                       MCMC iteration = 9556000

                       MCMC iteration = 9557000

                       MCMC iteration = 9558000

                       MCMC iteration = 9559000

                       MCMC iteration = 9560000

                       MCMC iteration = 9561000

                       MCMC iteration = 9562000

                       MCMC iteration = 9563000

                       MCMC iteration = 9564000

                       MCMC iteration = 9565000

                       MCMC iteration = 9566000

                       MCMC iteration = 9567000

                       MCMC iteration = 9568000

                       MCMC iteration = 9569000

                       MCMC iteration = 9570000

                       MCMC iteration = 9571000

                       MCMC iteration = 9572000

                       MCMC iteration = 9573000

                       MCMC iteration = 9574000

                       MCMC iteration = 9575000

                       MCMC iteration = 9576000

                       MCMC iteration = 9577000

                       MCMC iteration = 9578000

                       MCMC iteration = 9579000

                       MCMC iteration = 9580000

                       MCMC iteration = 9581000

                       MCMC iteration = 9582000

                       MCMC iteration = 9583000

                       MCMC iteration = 9584000

                       MCMC iteration = 9585000

                       MCMC iteration = 9586000

                       MCMC iteration = 9587000

                       MCMC iteration = 9588000

                       MCMC iteration = 9589000

                       MCMC iteration = 9590000

                       MCMC iteration = 9591000

                       MCMC iteration = 9592000

                       MCMC iteration = 9593000

                       MCMC iteration = 9594000

                       MCMC iteration = 9595000

                       MCMC iteration = 9596000

                       MCMC iteration = 9597000

                       MCMC iteration = 9598000

                       MCMC iteration = 9599000

                       MCMC iteration = 9600000

                       MCMC iteration = 9601000

                       MCMC iteration = 9602000

                       MCMC iteration = 9603000

                       MCMC iteration = 9604000

                       MCMC iteration = 9605000

                       MCMC iteration = 9606000

                       MCMC iteration = 9607000

                       MCMC iteration = 9608000

                       MCMC iteration = 9609000

                       MCMC iteration = 9610000

                       MCMC iteration = 9611000

                       MCMC iteration = 9612000

                       MCMC iteration = 9613000

                       MCMC iteration = 9614000

                       MCMC iteration = 9615000

                       MCMC iteration = 9616000

                       MCMC iteration = 9617000

                       MCMC iteration = 9618000

                       MCMC iteration = 9619000

                       MCMC iteration = 9620000

                       MCMC iteration = 9621000

                       MCMC iteration = 9622000

                       MCMC iteration = 9623000

                       MCMC iteration = 9624000

                       MCMC iteration = 9625000

                       MCMC iteration = 9626000

                       MCMC iteration = 9627000

                       MCMC iteration = 9628000

                       MCMC iteration = 9629000

                       MCMC iteration = 9630000

                       MCMC iteration = 9631000

                       MCMC iteration = 9632000

                       MCMC iteration = 9633000

                       MCMC iteration = 9634000

                       MCMC iteration = 9635000

                       MCMC iteration = 9636000

                       MCMC iteration = 9637000

                       MCMC iteration = 9638000

                       MCMC iteration = 9639000

                       MCMC iteration = 9640000

                       MCMC iteration = 9641000

                       MCMC iteration = 9642000

                       MCMC iteration = 9643000

                       MCMC iteration = 9644000

                       MCMC iteration = 9645000

                       MCMC iteration = 9646000

                       MCMC iteration = 9647000

                       MCMC iteration = 9648000

                       MCMC iteration = 9649000

                       MCMC iteration = 9650000

                       MCMC iteration = 9651000

                       MCMC iteration = 9652000

                       MCMC iteration = 9653000

                       MCMC iteration = 9654000

                       MCMC iteration = 9655000

                       MCMC iteration = 9656000

                       MCMC iteration = 9657000

                       MCMC iteration = 9658000

                       MCMC iteration = 9659000

                       MCMC iteration = 9660000

                       MCMC iteration = 9661000

                       MCMC iteration = 9662000

                       MCMC iteration = 9663000

                       MCMC iteration = 9664000

                       MCMC iteration = 9665000

                       MCMC iteration = 9666000

                       MCMC iteration = 9667000

                       MCMC iteration = 9668000

                       MCMC iteration = 9669000

                       MCMC iteration = 9670000

                       MCMC iteration = 9671000

                       MCMC iteration = 9672000

                       MCMC iteration = 9673000

                       MCMC iteration = 9674000

                       MCMC iteration = 9675000

                       MCMC iteration = 9676000

                       MCMC iteration = 9677000

                       MCMC iteration = 9678000

                       MCMC iteration = 9679000

                       MCMC iteration = 9680000

                       MCMC iteration = 9681000

                       MCMC iteration = 9682000

                       MCMC iteration = 9683000

                       MCMC iteration = 9684000

                       MCMC iteration = 9685000

                       MCMC iteration = 9686000

                       MCMC iteration = 9687000

                       MCMC iteration = 9688000

                       MCMC iteration = 9689000

                       MCMC iteration = 9690000

                       MCMC iteration = 9691000

                       MCMC iteration = 9692000

                       MCMC iteration = 9693000

                       MCMC iteration = 9694000

                       MCMC iteration = 9695000

                       MCMC iteration = 9696000

                       MCMC iteration = 9697000

                       MCMC iteration = 9698000

                       MCMC iteration = 9699000

                       MCMC iteration = 9700000

                       MCMC iteration = 9701000

                       MCMC iteration = 9702000

                       MCMC iteration = 9703000

                       MCMC iteration = 9704000

                       MCMC iteration = 9705000

                       MCMC iteration = 9706000

                       MCMC iteration = 9707000

                       MCMC iteration = 9708000

                       MCMC iteration = 9709000

                       MCMC iteration = 9710000

                       MCMC iteration = 9711000

                       MCMC iteration = 9712000

                       MCMC iteration = 9713000

                       MCMC iteration = 9714000

                       MCMC iteration = 9715000

                       MCMC iteration = 9716000

                       MCMC iteration = 9717000

                       MCMC iteration = 9718000

                       MCMC iteration = 9719000

                       MCMC iteration = 9720000

                       MCMC iteration = 9721000

                       MCMC iteration = 9722000

                       MCMC iteration = 9723000

                       MCMC iteration = 9724000

                       MCMC iteration = 9725000

                       MCMC iteration = 9726000

                       MCMC iteration = 9727000

                       MCMC iteration = 9728000

                       MCMC iteration = 9729000

                       MCMC iteration = 9730000

                       MCMC iteration = 9731000

                       MCMC iteration = 9732000

                       MCMC iteration = 9733000

                       MCMC iteration = 9734000

                       MCMC iteration = 9735000

                       MCMC iteration = 9736000

                       MCMC iteration = 9737000

                       MCMC iteration = 9738000

                       MCMC iteration = 9739000

                       MCMC iteration = 9740000

                       MCMC iteration = 9741000

                       MCMC iteration = 9742000

                       MCMC iteration = 9743000

                       MCMC iteration = 9744000

                       MCMC iteration = 9745000

                       MCMC iteration = 9746000

                       MCMC iteration = 9747000

                       MCMC iteration = 9748000

                       MCMC iteration = 9749000

                       MCMC iteration = 9750000

                       MCMC iteration = 9751000

                       MCMC iteration = 9752000

                       MCMC iteration = 9753000

                       MCMC iteration = 9754000

                       MCMC iteration = 9755000

                       MCMC iteration = 9756000

                       MCMC iteration = 9757000

                       MCMC iteration = 9758000

                       MCMC iteration = 9759000

                       MCMC iteration = 9760000

                       MCMC iteration = 9761000

                       MCMC iteration = 9762000

                       MCMC iteration = 9763000

                       MCMC iteration = 9764000

                       MCMC iteration = 9765000

                       MCMC iteration = 9766000

                       MCMC iteration = 9767000

                       MCMC iteration = 9768000

                       MCMC iteration = 9769000

                       MCMC iteration = 9770000

                       MCMC iteration = 9771000

                       MCMC iteration = 9772000

                       MCMC iteration = 9773000

                       MCMC iteration = 9774000

                       MCMC iteration = 9775000

                       MCMC iteration = 9776000

                       MCMC iteration = 9777000

                       MCMC iteration = 9778000

                       MCMC iteration = 9779000

                       MCMC iteration = 9780000

                       MCMC iteration = 9781000

                       MCMC iteration = 9782000

                       MCMC iteration = 9783000

                       MCMC iteration = 9784000

                       MCMC iteration = 9785000

                       MCMC iteration = 9786000

                       MCMC iteration = 9787000

                       MCMC iteration = 9788000

                       MCMC iteration = 9789000

                       MCMC iteration = 9790000

                       MCMC iteration = 9791000

                       MCMC iteration = 9792000

                       MCMC iteration = 9793000

                       MCMC iteration = 9794000

                       MCMC iteration = 9795000

                       MCMC iteration = 9796000

                       MCMC iteration = 9797000

                       MCMC iteration = 9798000

                       MCMC iteration = 9799000

                       MCMC iteration = 9800000

                       MCMC iteration = 9801000

                       MCMC iteration = 9802000

                       MCMC iteration = 9803000

                       MCMC iteration = 9804000

                       MCMC iteration = 9805000

                       MCMC iteration = 9806000

                       MCMC iteration = 9807000

                       MCMC iteration = 9808000

                       MCMC iteration = 9809000

                       MCMC iteration = 9810000

                       MCMC iteration = 9811000

                       MCMC iteration = 9812000

                       MCMC iteration = 9813000

                       MCMC iteration = 9814000

                       MCMC iteration = 9815000

                       MCMC iteration = 9816000

                       MCMC iteration = 9817000

                       MCMC iteration = 9818000

                       MCMC iteration = 9819000

                       MCMC iteration = 9820000

                       MCMC iteration = 9821000

                       MCMC iteration = 9822000

                       MCMC iteration = 9823000

                       MCMC iteration = 9824000

                       MCMC iteration = 9825000

                       MCMC iteration = 9826000

                       MCMC iteration = 9827000

                       MCMC iteration = 9828000

                       MCMC iteration = 9829000

                       MCMC iteration = 9830000

                       MCMC iteration = 9831000

                       MCMC iteration = 9832000

                       MCMC iteration = 9833000

                       MCMC iteration = 9834000

                       MCMC iteration = 9835000

                       MCMC iteration = 9836000

                       MCMC iteration = 9837000

                       MCMC iteration = 9838000

                       MCMC iteration = 9839000

                       MCMC iteration = 9840000

                       MCMC iteration = 9841000

                       MCMC iteration = 9842000

                       MCMC iteration = 9843000

                       MCMC iteration = 9844000

                       MCMC iteration = 9845000

                       MCMC iteration = 9846000

                       MCMC iteration = 9847000

                       MCMC iteration = 9848000

                       MCMC iteration = 9849000

                       MCMC iteration = 9850000

                       MCMC iteration = 9851000

                       MCMC iteration = 9852000

                       MCMC iteration = 9853000

                       MCMC iteration = 9854000

                       MCMC iteration = 9855000

                       MCMC iteration = 9856000

                       MCMC iteration = 9857000

                       MCMC iteration = 9858000

                       MCMC iteration = 9859000

                       MCMC iteration = 9860000

                       MCMC iteration = 9861000

                       MCMC iteration = 9862000

                       MCMC iteration = 9863000

                       MCMC iteration = 9864000

                       MCMC iteration = 9865000

                       MCMC iteration = 9866000

                       MCMC iteration = 9867000

                       MCMC iteration = 9868000

                       MCMC iteration = 9869000

                       MCMC iteration = 9870000

                       MCMC iteration = 9871000

                       MCMC iteration = 9872000

                       MCMC iteration = 9873000

                       MCMC iteration = 9874000

                       MCMC iteration = 9875000

                       MCMC iteration = 9876000

                       MCMC iteration = 9877000

                       MCMC iteration = 9878000

                       MCMC iteration = 9879000

                       MCMC iteration = 9880000

                       MCMC iteration = 9881000

                       MCMC iteration = 9882000

                       MCMC iteration = 9883000

                       MCMC iteration = 9884000

                       MCMC iteration = 9885000

                       MCMC iteration = 9886000

                       MCMC iteration = 9887000

                       MCMC iteration = 9888000

                       MCMC iteration = 9889000

                       MCMC iteration = 9890000

                       MCMC iteration = 9891000

                       MCMC iteration = 9892000

                       MCMC iteration = 9893000

                       MCMC iteration = 9894000

                       MCMC iteration = 9895000

                       MCMC iteration = 9896000

                       MCMC iteration = 9897000

                       MCMC iteration = 9898000

                       MCMC iteration = 9899000

                       MCMC iteration = 9900000

                       MCMC iteration = 9901000

                       MCMC iteration = 9902000

                       MCMC iteration = 9903000

                       MCMC iteration = 9904000

                       MCMC iteration = 9905000

                       MCMC iteration = 9906000

                       MCMC iteration = 9907000

                       MCMC iteration = 9908000

                       MCMC iteration = 9909000

                       MCMC iteration = 9910000

                       MCMC iteration = 9911000

                       MCMC iteration = 9912000

                       MCMC iteration = 9913000

                       MCMC iteration = 9914000

                       MCMC iteration = 9915000

                       MCMC iteration = 9916000

                       MCMC iteration = 9917000

                       MCMC iteration = 9918000

                       MCMC iteration = 9919000

                       MCMC iteration = 9920000

                       MCMC iteration = 9921000

                       MCMC iteration = 9922000

                       MCMC iteration = 9923000

                       MCMC iteration = 9924000

                       MCMC iteration = 9925000

                       MCMC iteration = 9926000

                       MCMC iteration = 9927000

                       MCMC iteration = 9928000

                       MCMC iteration = 9929000

                       MCMC iteration = 9930000

                       MCMC iteration = 9931000

                       MCMC iteration = 9932000

                       MCMC iteration = 9933000

                       MCMC iteration = 9934000

                       MCMC iteration = 9935000

                       MCMC iteration = 9936000

                       MCMC iteration = 9937000

                       MCMC iteration = 9938000

                       MCMC iteration = 9939000

                       MCMC iteration = 9940000

                       MCMC iteration = 9941000

                       MCMC iteration = 9942000

                       MCMC iteration = 9943000

                       MCMC iteration = 9944000

                       MCMC iteration = 9945000

                       MCMC iteration = 9946000

                       MCMC iteration = 9947000

                       MCMC iteration = 9948000

                       MCMC iteration = 9949000

                       MCMC iteration = 9950000

                       MCMC iteration = 9951000

                       MCMC iteration = 9952000

                       MCMC iteration = 9953000

                       MCMC iteration = 9954000

                       MCMC iteration = 9955000

                       MCMC iteration = 9956000

                       MCMC iteration = 9957000

                       MCMC iteration = 9958000

                       MCMC iteration = 9959000

                       MCMC iteration = 9960000

                       MCMC iteration = 9961000

                       MCMC iteration = 9962000

                       MCMC iteration = 9963000

                       MCMC iteration = 9964000

                       MCMC iteration = 9965000

                       MCMC iteration = 9966000

                       MCMC iteration = 9967000

                       MCMC iteration = 9968000

                       MCMC iteration = 9969000

                       MCMC iteration = 9970000

                       MCMC iteration = 9971000

                       MCMC iteration = 9972000

                       MCMC iteration = 9973000

                       MCMC iteration = 9974000

                       MCMC iteration = 9975000

                       MCMC iteration = 9976000

                       MCMC iteration = 9977000

                       MCMC iteration = 9978000

                       MCMC iteration = 9979000

                       MCMC iteration = 9980000

                       MCMC iteration = 9981000

                       MCMC iteration = 9982000

                       MCMC iteration = 9983000

                       MCMC iteration = 9984000

                       MCMC iteration = 9985000

                       MCMC iteration = 9986000

                       MCMC iteration = 9987000

                       MCMC iteration = 9988000

                       MCMC iteration = 9989000

                       MCMC iteration = 9990000

                       MCMC iteration = 9991000

                       MCMC iteration = 9992000

                       MCMC iteration = 9993000

                       MCMC iteration = 9994000

                       MCMC iteration = 9995000

                       MCMC iteration = 9996000

                       MCMC iteration = 9997000

                       MCMC iteration = 9998000

                       MCMC iteration = 9999000

                       MCMC iteration = 10000000

                       MCMC iteration = 10001000

                       MCMC iteration = 10002000

                       MCMC iteration = 10003000

                       MCMC iteration = 10004000

                       MCMC iteration = 10005000

                       MCMC iteration = 10006000

                       MCMC iteration = 10007000

                       MCMC iteration = 10008000

                       MCMC iteration = 10009000

                       MCMC iteration = 10010000

                       MCMC iteration = 10011000

                       MCMC iteration = 10012000

                       MCMC iteration = 10013000

                       MCMC iteration = 10014000

                       MCMC iteration = 10015000

                       MCMC iteration = 10016000

                       MCMC iteration = 10017000

                       MCMC iteration = 10018000

                       MCMC iteration = 10019000

                       MCMC iteration = 10020000

                       MCMC iteration = 10021000

                       MCMC iteration = 10022000

                       MCMC iteration = 10023000

                       MCMC iteration = 10024000

                       MCMC iteration = 10025000

                       MCMC iteration = 10026000

                       MCMC iteration = 10027000

                       MCMC iteration = 10028000

                       MCMC iteration = 10029000

                       MCMC iteration = 10030000

                       MCMC iteration = 10031000

                       MCMC iteration = 10032000

                       MCMC iteration = 10033000

                       MCMC iteration = 10034000

                       MCMC iteration = 10035000

                       MCMC iteration = 10036000

                       MCMC iteration = 10037000

                       MCMC iteration = 10038000

                       MCMC iteration = 10039000

                       MCMC iteration = 10040000

                       MCMC iteration = 10041000

                       MCMC iteration = 10042000

                       MCMC iteration = 10043000

                       MCMC iteration = 10044000

                       MCMC iteration = 10045000

                       MCMC iteration = 10046000

                       MCMC iteration = 10047000

                       MCMC iteration = 10048000

                       MCMC iteration = 10049000

                       MCMC iteration = 10050000

                       MCMC iteration = 10051000

                       MCMC iteration = 10052000

                       MCMC iteration = 10053000

                       MCMC iteration = 10054000

                       MCMC iteration = 10055000

                       MCMC iteration = 10056000

                       MCMC iteration = 10057000

                       MCMC iteration = 10058000

                       MCMC iteration = 10059000

                       MCMC iteration = 10060000

                       MCMC iteration = 10061000

                       MCMC iteration = 10062000

                       MCMC iteration = 10063000

                       MCMC iteration = 10064000

                       MCMC iteration = 10065000

                       MCMC iteration = 10066000

                       MCMC iteration = 10067000

                       MCMC iteration = 10068000

                       MCMC iteration = 10069000

                       MCMC iteration = 10070000

                       MCMC iteration = 10071000

                       MCMC iteration = 10072000

                       MCMC iteration = 10073000

                       MCMC iteration = 10074000

                       MCMC iteration = 10075000

                       MCMC iteration = 10076000

                       MCMC iteration = 10077000

                       MCMC iteration = 10078000

                       MCMC iteration = 10079000

                       MCMC iteration = 10080000

                       MCMC iteration = 10081000

                       MCMC iteration = 10082000

                       MCMC iteration = 10083000

                       MCMC iteration = 10084000

                       MCMC iteration = 10085000

                       MCMC iteration = 10086000

                       MCMC iteration = 10087000

                       MCMC iteration = 10088000

                       MCMC iteration = 10089000

                       MCMC iteration = 10090000

                       MCMC iteration = 10091000

                       MCMC iteration = 10092000

                       MCMC iteration = 10093000

                       MCMC iteration = 10094000

                       MCMC iteration = 10095000

                       MCMC iteration = 10096000

                       MCMC iteration = 10097000

                       MCMC iteration = 10098000

                       MCMC iteration = 10099000

                       MCMC iteration = 10100000

                       MCMC iteration = 10101000

                       MCMC iteration = 10102000

                       MCMC iteration = 10103000

                       MCMC iteration = 10104000

                       MCMC iteration = 10105000

                       MCMC iteration = 10106000

                       MCMC iteration = 10107000

                       MCMC iteration = 10108000

                       MCMC iteration = 10109000

                       MCMC iteration = 10110000

                       MCMC iteration = 10111000

                       MCMC iteration = 10112000

                       MCMC iteration = 10113000

                       MCMC iteration = 10114000

                       MCMC iteration = 10115000

                       MCMC iteration = 10116000

                       MCMC iteration = 10117000

                       MCMC iteration = 10118000

                       MCMC iteration = 10119000

                       MCMC iteration = 10120000

                       MCMC iteration = 10121000

                       MCMC iteration = 10122000

                       MCMC iteration = 10123000

                       MCMC iteration = 10124000

                       MCMC iteration = 10125000

                       MCMC iteration = 10126000

                       MCMC iteration = 10127000

                       MCMC iteration = 10128000

                       MCMC iteration = 10129000

                       MCMC iteration = 10130000

                       MCMC iteration = 10131000

                       MCMC iteration = 10132000

                       MCMC iteration = 10133000

                       MCMC iteration = 10134000

                       MCMC iteration = 10135000

                       MCMC iteration = 10136000

                       MCMC iteration = 10137000

                       MCMC iteration = 10138000

                       MCMC iteration = 10139000

                       MCMC iteration = 10140000

                       MCMC iteration = 10141000

                       MCMC iteration = 10142000

                       MCMC iteration = 10143000

                       MCMC iteration = 10144000

                       MCMC iteration = 10145000

                       MCMC iteration = 10146000

                       MCMC iteration = 10147000

                       MCMC iteration = 10148000

                       MCMC iteration = 10149000

                       MCMC iteration = 10150000

                       MCMC iteration = 10151000

                       MCMC iteration = 10152000

                       MCMC iteration = 10153000

                       MCMC iteration = 10154000

                       MCMC iteration = 10155000

                       MCMC iteration = 10156000

                       MCMC iteration = 10157000

                       MCMC iteration = 10158000

                       MCMC iteration = 10159000

                       MCMC iteration = 10160000

                       MCMC iteration = 10161000

                       MCMC iteration = 10162000

                       MCMC iteration = 10163000

                       MCMC iteration = 10164000

                       MCMC iteration = 10165000

                       MCMC iteration = 10166000

                       MCMC iteration = 10167000

                       MCMC iteration = 10168000

                       MCMC iteration = 10169000

                       MCMC iteration = 10170000

                       MCMC iteration = 10171000

                       MCMC iteration = 10172000

                       MCMC iteration = 10173000

                       MCMC iteration = 10174000

                       MCMC iteration = 10175000

                       MCMC iteration = 10176000

                       MCMC iteration = 10177000

                       MCMC iteration = 10178000

                       MCMC iteration = 10179000

                       MCMC iteration = 10180000

                       MCMC iteration = 10181000

                       MCMC iteration = 10182000

                       MCMC iteration = 10183000

                       MCMC iteration = 10184000

                       MCMC iteration = 10185000

                       MCMC iteration = 10186000

                       MCMC iteration = 10187000

                       MCMC iteration = 10188000

                       MCMC iteration = 10189000

                       MCMC iteration = 10190000

                       MCMC iteration = 10191000

                       MCMC iteration = 10192000

                       MCMC iteration = 10193000

                       MCMC iteration = 10194000

                       MCMC iteration = 10195000

                       MCMC iteration = 10196000

                       MCMC iteration = 10197000

                       MCMC iteration = 10198000

                       MCMC iteration = 10199000

                       MCMC iteration = 10200000

                       MCMC iteration = 10201000

                       MCMC iteration = 10202000

                       MCMC iteration = 10203000

                       MCMC iteration = 10204000

                       MCMC iteration = 10205000

                       MCMC iteration = 10206000

                       MCMC iteration = 10207000

                       MCMC iteration = 10208000

                       MCMC iteration = 10209000

                       MCMC iteration = 10210000

                       MCMC iteration = 10211000

                       MCMC iteration = 10212000

                       MCMC iteration = 10213000

                       MCMC iteration = 10214000

                       MCMC iteration = 10215000

                       MCMC iteration = 10216000

                       MCMC iteration = 10217000

                       MCMC iteration = 10218000

                       MCMC iteration = 10219000

                       MCMC iteration = 10220000

                       MCMC iteration = 10221000

                       MCMC iteration = 10222000

                       MCMC iteration = 10223000

                       MCMC iteration = 10224000

                       MCMC iteration = 10225000

                       MCMC iteration = 10226000

                       MCMC iteration = 10227000

                       MCMC iteration = 10228000

                       MCMC iteration = 10229000

                       MCMC iteration = 10230000

                       MCMC iteration = 10231000

                       MCMC iteration = 10232000

                       MCMC iteration = 10233000

                       MCMC iteration = 10234000

                       MCMC iteration = 10235000

                       MCMC iteration = 10236000

                       MCMC iteration = 10237000

                       MCMC iteration = 10238000

                       MCMC iteration = 10239000

                       MCMC iteration = 10240000

                       MCMC iteration = 10241000

                       MCMC iteration = 10242000

                       MCMC iteration = 10243000

                       MCMC iteration = 10244000

                       MCMC iteration = 10245000

                       MCMC iteration = 10246000

                       MCMC iteration = 10247000

                       MCMC iteration = 10248000

                       MCMC iteration = 10249000

                       MCMC iteration = 10250000

                       MCMC iteration = 10251000

                       MCMC iteration = 10252000

                       MCMC iteration = 10253000

                       MCMC iteration = 10254000

                       MCMC iteration = 10255000

                       MCMC iteration = 10256000

                       MCMC iteration = 10257000

                       MCMC iteration = 10258000

                       MCMC iteration = 10259000

                       MCMC iteration = 10260000

                       MCMC iteration = 10261000

                       MCMC iteration = 10262000

                       MCMC iteration = 10263000

                       MCMC iteration = 10264000

                       MCMC iteration = 10265000

                       MCMC iteration = 10266000

                       MCMC iteration = 10267000

                       MCMC iteration = 10268000

                       MCMC iteration = 10269000

                       MCMC iteration = 10270000

                       MCMC iteration = 10271000

                       MCMC iteration = 10272000

                       MCMC iteration = 10273000

                       MCMC iteration = 10274000

                       MCMC iteration = 10275000

                       MCMC iteration = 10276000

                       MCMC iteration = 10277000

                       MCMC iteration = 10278000

                       MCMC iteration = 10279000

                       MCMC iteration = 10280000

                       MCMC iteration = 10281000

                       MCMC iteration = 10282000

                       MCMC iteration = 10283000

                       MCMC iteration = 10284000

                       MCMC iteration = 10285000

                       MCMC iteration = 10286000

                       MCMC iteration = 10287000

                       MCMC iteration = 10288000

                       MCMC iteration = 10289000

                       MCMC iteration = 10290000

                       MCMC iteration = 10291000

                       MCMC iteration = 10292000

                       MCMC iteration = 10293000

                       MCMC iteration = 10294000

                       MCMC iteration = 10295000

                       MCMC iteration = 10296000

                       MCMC iteration = 10297000

                       MCMC iteration = 10298000

                       MCMC iteration = 10299000

                       MCMC iteration = 10300000

                       MCMC iteration = 10301000

                       MCMC iteration = 10302000

                       MCMC iteration = 10303000

                       MCMC iteration = 10304000

                       MCMC iteration = 10305000

                       MCMC iteration = 10306000

                       MCMC iteration = 10307000

                       MCMC iteration = 10308000

                       MCMC iteration = 10309000

                       MCMC iteration = 10310000

                       MCMC iteration = 10311000

                       MCMC iteration = 10312000

                       MCMC iteration = 10313000

                       MCMC iteration = 10314000

                       MCMC iteration = 10315000

                       MCMC iteration = 10316000

                       MCMC iteration = 10317000

                       MCMC iteration = 10318000

                       MCMC iteration = 10319000

                       MCMC iteration = 10320000

                       MCMC iteration = 10321000

                       MCMC iteration = 10322000

                       MCMC iteration = 10323000

                       MCMC iteration = 10324000

                       MCMC iteration = 10325000

                       MCMC iteration = 10326000

                       MCMC iteration = 10327000

                       MCMC iteration = 10328000

                       MCMC iteration = 10329000

                       MCMC iteration = 10330000

                       MCMC iteration = 10331000

                       MCMC iteration = 10332000

                       MCMC iteration = 10333000

                       MCMC iteration = 10334000

                       MCMC iteration = 10335000

                       MCMC iteration = 10336000

                       MCMC iteration = 10337000

                       MCMC iteration = 10338000

                       MCMC iteration = 10339000

                       MCMC iteration = 10340000

                       MCMC iteration = 10341000

                       MCMC iteration = 10342000

                       MCMC iteration = 10343000

                       MCMC iteration = 10344000

                       MCMC iteration = 10345000

                       MCMC iteration = 10346000

                       MCMC iteration = 10347000

                       MCMC iteration = 10348000

                       MCMC iteration = 10349000

                       MCMC iteration = 10350000

                       MCMC iteration = 10351000

                       MCMC iteration = 10352000

                       MCMC iteration = 10353000

                       MCMC iteration = 10354000

                       MCMC iteration = 10355000

                       MCMC iteration = 10356000

                       MCMC iteration = 10357000

                       MCMC iteration = 10358000

                       MCMC iteration = 10359000

                       MCMC iteration = 10360000

                       MCMC iteration = 10361000

                       MCMC iteration = 10362000

                       MCMC iteration = 10363000

                       MCMC iteration = 10364000

                       MCMC iteration = 10365000

                       MCMC iteration = 10366000

                       MCMC iteration = 10367000

                       MCMC iteration = 10368000

                       MCMC iteration = 10369000

                       MCMC iteration = 10370000

                       MCMC iteration = 10371000

                       MCMC iteration = 10372000

                       MCMC iteration = 10373000

                       MCMC iteration = 10374000

                       MCMC iteration = 10375000

                       MCMC iteration = 10376000

                       MCMC iteration = 10377000

                       MCMC iteration = 10378000

                       MCMC iteration = 10379000

                       MCMC iteration = 10380000

                       MCMC iteration = 10381000

                       MCMC iteration = 10382000

                       MCMC iteration = 10383000

                       MCMC iteration = 10384000

                       MCMC iteration = 10385000

                       MCMC iteration = 10386000

                       MCMC iteration = 10387000

                       MCMC iteration = 10388000

                       MCMC iteration = 10389000

                       MCMC iteration = 10390000

                       MCMC iteration = 10391000

                       MCMC iteration = 10392000

                       MCMC iteration = 10393000

                       MCMC iteration = 10394000

                       MCMC iteration = 10395000

                       MCMC iteration = 10396000

                       MCMC iteration = 10397000

                       MCMC iteration = 10398000

                       MCMC iteration = 10399000

                       MCMC iteration = 10400000

                       MCMC iteration = 10401000

                       MCMC iteration = 10402000

                       MCMC iteration = 10403000

                       MCMC iteration = 10404000

                       MCMC iteration = 10405000

                       MCMC iteration = 10406000

                       MCMC iteration = 10407000

                       MCMC iteration = 10408000

                       MCMC iteration = 10409000

                       MCMC iteration = 10410000

                       MCMC iteration = 10411000

                       MCMC iteration = 10412000

                       MCMC iteration = 10413000

                       MCMC iteration = 10414000

                       MCMC iteration = 10415000

                       MCMC iteration = 10416000

                       MCMC iteration = 10417000

                       MCMC iteration = 10418000

                       MCMC iteration = 10419000

                       MCMC iteration = 10420000

                       MCMC iteration = 10421000

                       MCMC iteration = 10422000

                       MCMC iteration = 10423000

                       MCMC iteration = 10424000

                       MCMC iteration = 10425000

                       MCMC iteration = 10426000

                       MCMC iteration = 10427000

                       MCMC iteration = 10428000

                       MCMC iteration = 10429000

                       MCMC iteration = 10430000

                       MCMC iteration = 10431000

                       MCMC iteration = 10432000

                       MCMC iteration = 10433000

                       MCMC iteration = 10434000

                       MCMC iteration = 10435000

                       MCMC iteration = 10436000

                       MCMC iteration = 10437000

                       MCMC iteration = 10438000

                       MCMC iteration = 10439000

                       MCMC iteration = 10440000

                       MCMC iteration = 10441000

                       MCMC iteration = 10442000

                       MCMC iteration = 10443000

                       MCMC iteration = 10444000

                       MCMC iteration = 10445000

                       MCMC iteration = 10446000

                       MCMC iteration = 10447000

                       MCMC iteration = 10448000

                       MCMC iteration = 10449000

                       MCMC iteration = 10450000

                       MCMC iteration = 10451000

                       MCMC iteration = 10452000

                       MCMC iteration = 10453000

                       MCMC iteration = 10454000

                       MCMC iteration = 10455000

                       MCMC iteration = 10456000

                       MCMC iteration = 10457000

                       MCMC iteration = 10458000

                       MCMC iteration = 10459000

                       MCMC iteration = 10460000

                       MCMC iteration = 10461000

                       MCMC iteration = 10462000

                       MCMC iteration = 10463000

                       MCMC iteration = 10464000

                       MCMC iteration = 10465000

                       MCMC iteration = 10466000

                       MCMC iteration = 10467000

                       MCMC iteration = 10468000

                       MCMC iteration = 10469000

                       MCMC iteration = 10470000

                       MCMC iteration = 10471000

                       MCMC iteration = 10472000

                       MCMC iteration = 10473000

                       MCMC iteration = 10474000

                       MCMC iteration = 10475000

                       MCMC iteration = 10476000

                       MCMC iteration = 10477000

                       MCMC iteration = 10478000

                       MCMC iteration = 10479000

                       MCMC iteration = 10480000

                       MCMC iteration = 10481000

                       MCMC iteration = 10482000

                       MCMC iteration = 10483000

                       MCMC iteration = 10484000

                       MCMC iteration = 10485000

                       MCMC iteration = 10486000

                       MCMC iteration = 10487000

                       MCMC iteration = 10488000

                       MCMC iteration = 10489000

                       MCMC iteration = 10490000

                       MCMC iteration = 10491000

                       MCMC iteration = 10492000

                       MCMC iteration = 10493000

                       MCMC iteration = 10494000

                       MCMC iteration = 10495000

                       MCMC iteration = 10496000

                       MCMC iteration = 10497000

                       MCMC iteration = 10498000

                       MCMC iteration = 10499000

                       MCMC iteration = 10500000

                       MCMC iteration = 10501000

                       MCMC iteration = 10502000

                       MCMC iteration = 10503000

                       MCMC iteration = 10504000

                       MCMC iteration = 10505000

                       MCMC iteration = 10506000

                       MCMC iteration = 10507000

                       MCMC iteration = 10508000

                       MCMC iteration = 10509000

                       MCMC iteration = 10510000

                       MCMC iteration = 10511000

                       MCMC iteration = 10512000

                       MCMC iteration = 10513000

                       MCMC iteration = 10514000

                       MCMC iteration = 10515000

                       MCMC iteration = 10516000

                       MCMC iteration = 10517000

                       MCMC iteration = 10518000

                       MCMC iteration = 10519000

                       MCMC iteration = 10520000

                       MCMC iteration = 10521000

                       MCMC iteration = 10522000

                       MCMC iteration = 10523000

                       MCMC iteration = 10524000

                       MCMC iteration = 10525000

                       MCMC iteration = 10526000

                       MCMC iteration = 10527000

                       MCMC iteration = 10528000

                       MCMC iteration = 10529000

                       MCMC iteration = 10530000

                       MCMC iteration = 10531000

                       MCMC iteration = 10532000

                       MCMC iteration = 10533000

                       MCMC iteration = 10534000

                       MCMC iteration = 10535000

                       MCMC iteration = 10536000

                       MCMC iteration = 10537000

                       MCMC iteration = 10538000

                       MCMC iteration = 10539000

                       MCMC iteration = 10540000

                       MCMC iteration = 10541000

                       MCMC iteration = 10542000

                       MCMC iteration = 10543000

                       MCMC iteration = 10544000

                       MCMC iteration = 10545000

                       MCMC iteration = 10546000

                       MCMC iteration = 10547000

                       MCMC iteration = 10548000

                       MCMC iteration = 10549000

                       MCMC iteration = 10550000

                       MCMC iteration = 10551000

                       MCMC iteration = 10552000

                       MCMC iteration = 10553000

                       MCMC iteration = 10554000

                       MCMC iteration = 10555000

                       MCMC iteration = 10556000

                       MCMC iteration = 10557000

                       MCMC iteration = 10558000

                       MCMC iteration = 10559000

                       MCMC iteration = 10560000

                       MCMC iteration = 10561000

                       MCMC iteration = 10562000

                       MCMC iteration = 10563000

                       MCMC iteration = 10564000

                       MCMC iteration = 10565000

                       MCMC iteration = 10566000

                       MCMC iteration = 10567000

                       MCMC iteration = 10568000

                       MCMC iteration = 10569000

                       MCMC iteration = 10570000

                       MCMC iteration = 10571000

                       MCMC iteration = 10572000

                       MCMC iteration = 10573000

                       MCMC iteration = 10574000

                       MCMC iteration = 10575000

                       MCMC iteration = 10576000

                       MCMC iteration = 10577000

                       MCMC iteration = 10578000

                       MCMC iteration = 10579000

                       MCMC iteration = 10580000

                       MCMC iteration = 10581000

                       MCMC iteration = 10582000

                       MCMC iteration = 10583000

                       MCMC iteration = 10584000

                       MCMC iteration = 10585000

                       MCMC iteration = 10586000

                       MCMC iteration = 10587000

                       MCMC iteration = 10588000

                       MCMC iteration = 10589000

                       MCMC iteration = 10590000

                       MCMC iteration = 10591000

                       MCMC iteration = 10592000

                       MCMC iteration = 10593000

                       MCMC iteration = 10594000

                       MCMC iteration = 10595000

                       MCMC iteration = 10596000

                       MCMC iteration = 10597000

                       MCMC iteration = 10598000

                       MCMC iteration = 10599000

                       MCMC iteration = 10600000

                       MCMC iteration = 10601000

                       MCMC iteration = 10602000

                       MCMC iteration = 10603000

                       MCMC iteration = 10604000

                       MCMC iteration = 10605000

                       MCMC iteration = 10606000

                       MCMC iteration = 10607000

                       MCMC iteration = 10608000

                       MCMC iteration = 10609000

                       MCMC iteration = 10610000

                       MCMC iteration = 10611000

                       MCMC iteration = 10612000

                       MCMC iteration = 10613000

                       MCMC iteration = 10614000

                       MCMC iteration = 10615000

                       MCMC iteration = 10616000

                       MCMC iteration = 10617000

                       MCMC iteration = 10618000

                       MCMC iteration = 10619000

                       MCMC iteration = 10620000

                       MCMC iteration = 10621000

                       MCMC iteration = 10622000

                       MCMC iteration = 10623000

                       MCMC iteration = 10624000

                       MCMC iteration = 10625000

                       MCMC iteration = 10626000

                       MCMC iteration = 10627000

                       MCMC iteration = 10628000

                       MCMC iteration = 10629000

                       MCMC iteration = 10630000

                       MCMC iteration = 10631000

                       MCMC iteration = 10632000

                       MCMC iteration = 10633000

                       MCMC iteration = 10634000

                       MCMC iteration = 10635000

                       MCMC iteration = 10636000

                       MCMC iteration = 10637000

                       MCMC iteration = 10638000

                       MCMC iteration = 10639000

                       MCMC iteration = 10640000

                       MCMC iteration = 10641000

                       MCMC iteration = 10642000

                       MCMC iteration = 10643000

                       MCMC iteration = 10644000

                       MCMC iteration = 10645000

                       MCMC iteration = 10646000

                       MCMC iteration = 10647000

                       MCMC iteration = 10648000

                       MCMC iteration = 10649000

                       MCMC iteration = 10650000

                       MCMC iteration = 10651000

                       MCMC iteration = 10652000

                       MCMC iteration = 10653000

                       MCMC iteration = 10654000

                       MCMC iteration = 10655000

                       MCMC iteration = 10656000

                       MCMC iteration = 10657000

                       MCMC iteration = 10658000

                       MCMC iteration = 10659000

                       MCMC iteration = 10660000

                       MCMC iteration = 10661000

                       MCMC iteration = 10662000

                       MCMC iteration = 10663000

                       MCMC iteration = 10664000

                       MCMC iteration = 10665000

                       MCMC iteration = 10666000

                       MCMC iteration = 10667000

                       MCMC iteration = 10668000

                       MCMC iteration = 10669000

                       MCMC iteration = 10670000

                       MCMC iteration = 10671000

                       MCMC iteration = 10672000

                       MCMC iteration = 10673000

                       MCMC iteration = 10674000

                       MCMC iteration = 10675000

                       MCMC iteration = 10676000

                       MCMC iteration = 10677000

                       MCMC iteration = 10678000

                       MCMC iteration = 10679000

                       MCMC iteration = 10680000

                       MCMC iteration = 10681000

                       MCMC iteration = 10682000

                       MCMC iteration = 10683000

                       MCMC iteration = 10684000

                       MCMC iteration = 10685000

                       MCMC iteration = 10686000

                       MCMC iteration = 10687000

                       MCMC iteration = 10688000

                       MCMC iteration = 10689000

                       MCMC iteration = 10690000

                       MCMC iteration = 10691000

                       MCMC iteration = 10692000

                       MCMC iteration = 10693000

                       MCMC iteration = 10694000

                       MCMC iteration = 10695000

                       MCMC iteration = 10696000

                       MCMC iteration = 10697000

                       MCMC iteration = 10698000

                       MCMC iteration = 10699000

                       MCMC iteration = 10700000

                       MCMC iteration = 10701000

                       MCMC iteration = 10702000

                       MCMC iteration = 10703000

                       MCMC iteration = 10704000

                       MCMC iteration = 10705000

                       MCMC iteration = 10706000

                       MCMC iteration = 10707000

                       MCMC iteration = 10708000

                       MCMC iteration = 10709000

                       MCMC iteration = 10710000

                       MCMC iteration = 10711000

                       MCMC iteration = 10712000

                       MCMC iteration = 10713000

                       MCMC iteration = 10714000

                       MCMC iteration = 10715000

                       MCMC iteration = 10716000

                       MCMC iteration = 10717000

                       MCMC iteration = 10718000

                       MCMC iteration = 10719000

                       MCMC iteration = 10720000

                       MCMC iteration = 10721000

                       MCMC iteration = 10722000

                       MCMC iteration = 10723000

                       MCMC iteration = 10724000

                       MCMC iteration = 10725000

                       MCMC iteration = 10726000

                       MCMC iteration = 10727000

                       MCMC iteration = 10728000

                       MCMC iteration = 10729000

                       MCMC iteration = 10730000

                       MCMC iteration = 10731000

                       MCMC iteration = 10732000

                       MCMC iteration = 10733000

                       MCMC iteration = 10734000

                       MCMC iteration = 10735000

                       MCMC iteration = 10736000

                       MCMC iteration = 10737000

                       MCMC iteration = 10738000

                       MCMC iteration = 10739000

                       MCMC iteration = 10740000

                       MCMC iteration = 10741000

                       MCMC iteration = 10742000

                       MCMC iteration = 10743000

                       MCMC iteration = 10744000

                       MCMC iteration = 10745000

                       MCMC iteration = 10746000

                       MCMC iteration = 10747000

                       MCMC iteration = 10748000

                       MCMC iteration = 10749000

                       MCMC iteration = 10750000

                       MCMC iteration = 10751000

                       MCMC iteration = 10752000

                       MCMC iteration = 10753000

                       MCMC iteration = 10754000

                       MCMC iteration = 10755000

                       MCMC iteration = 10756000

                       MCMC iteration = 10757000

                       MCMC iteration = 10758000

                       MCMC iteration = 10759000

                       MCMC iteration = 10760000

                       MCMC iteration = 10761000

                       MCMC iteration = 10762000

                       MCMC iteration = 10763000

                       MCMC iteration = 10764000

                       MCMC iteration = 10765000

                       MCMC iteration = 10766000

                       MCMC iteration = 10767000

                       MCMC iteration = 10768000

                       MCMC iteration = 10769000

                       MCMC iteration = 10770000

                       MCMC iteration = 10771000

                       MCMC iteration = 10772000

                       MCMC iteration = 10773000

                       MCMC iteration = 10774000

                       MCMC iteration = 10775000

                       MCMC iteration = 10776000

                       MCMC iteration = 10777000

                       MCMC iteration = 10778000

                       MCMC iteration = 10779000

                       MCMC iteration = 10780000

                       MCMC iteration = 10781000

                       MCMC iteration = 10782000

                       MCMC iteration = 10783000

                       MCMC iteration = 10784000

                       MCMC iteration = 10785000

                       MCMC iteration = 10786000

                       MCMC iteration = 10787000

                       MCMC iteration = 10788000

                       MCMC iteration = 10789000

                       MCMC iteration = 10790000

                       MCMC iteration = 10791000

                       MCMC iteration = 10792000

                       MCMC iteration = 10793000

                       MCMC iteration = 10794000

                       MCMC iteration = 10795000

                       MCMC iteration = 10796000

                       MCMC iteration = 10797000

                       MCMC iteration = 10798000

                       MCMC iteration = 10799000

                       MCMC iteration = 10800000

                       MCMC iteration = 10801000

                       MCMC iteration = 10802000

                       MCMC iteration = 10803000

                       MCMC iteration = 10804000

                       MCMC iteration = 10805000

                       MCMC iteration = 10806000

                       MCMC iteration = 10807000

                       MCMC iteration = 10808000

                       MCMC iteration = 10809000

                       MCMC iteration = 10810000

                       MCMC iteration = 10811000

                       MCMC iteration = 10812000

                       MCMC iteration = 10813000

                       MCMC iteration = 10814000

                       MCMC iteration = 10815000

                       MCMC iteration = 10816000

                       MCMC iteration = 10817000

                       MCMC iteration = 10818000

                       MCMC iteration = 10819000

                       MCMC iteration = 10820000

                       MCMC iteration = 10821000

                       MCMC iteration = 10822000

                       MCMC iteration = 10823000

                       MCMC iteration = 10824000

                       MCMC iteration = 10825000

                       MCMC iteration = 10826000

                       MCMC iteration = 10827000

                       MCMC iteration = 10828000

                       MCMC iteration = 10829000

                       MCMC iteration = 10830000

                       MCMC iteration = 10831000

                       MCMC iteration = 10832000

                       MCMC iteration = 10833000

                       MCMC iteration = 10834000

                       MCMC iteration = 10835000

                       MCMC iteration = 10836000

                       MCMC iteration = 10837000

                       MCMC iteration = 10838000

                       MCMC iteration = 10839000

                       MCMC iteration = 10840000

                       MCMC iteration = 10841000

                       MCMC iteration = 10842000

                       MCMC iteration = 10843000

                       MCMC iteration = 10844000

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summary(MCMC_model_PubBias)


 Iterations = 1000001:10999501
 Thinning interval  = 500
 Sample size  = 20000 

 DIC: -54.88828 

 G-structure:  ~animal

       post.mean  l-95% CI u-95% CI eff.samp
animal   0.01895 0.0001803  0.06561    19912

               ~Index

      post.mean  l-95% CI u-95% CI eff.samp
Index   0.05992 0.0002374   0.1353    17156

               ~Study_ID

         post.mean  l-95% CI u-95% CI eff.samp
Study_ID  0.008926 0.0001633  0.03062    18142

 R-structure:  ~units

      post.mean  l-95% CI u-95% CI eff.samp
units   0.06005 0.0002399   0.1351    17124

 Location effects: z ~ SE_z 

            post.mean l-95% CI u-95% CI eff.samp pMCMC   
(Intercept)   0.04553 -0.19285  0.28355    20000 0.703   
SE_z          1.40011  0.43992  2.37407    20000 0.004 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Figure S5

# Extract model predictions
model_p <- as.data.frame(predict(MCMC_model_PubBias, interval="confidence"))
preds<-cbind(MetaData,model_p$fit, model_p$lwr,model_p$upr)

ggplot(MetaData, aes(x=SE_z, y=z)) +
  theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),panel.background = element_blank(), axis.line = element_line(colour = "black"))+
  theme(axis.text=element_text(size=13),
        axis.title=element_text(size=14))+ theme(legend.position="none")+ylab(expression(paste("Effect size (", italic("z"),')')))+
  geom_point(shape=16, size = 3,alpha=0.5)+xlab('Standard error')+
  geom_hline(yintercept=0, linetype="dashed", color = "black", linewidth=1)+
  geom_line( aes(y = model_p$fit), size = 1)+ 
  geom_ribbon( aes(ymin = model_p$lwr, ymax = model_p$upr, color = 'black',linetype=NA), alpha = .15,show.legend = F, outline.type = "both") +
  theme

Figure S5: Scatter plot of the standard error in z scores of each study against the z score of each primary study (transformed correlation coefficients). Dashed line marks a correlation coefficient of zero, black line represents predictions from MCMC model (controlling for phylogeny) and grey area represents 95% CI on model predictions.

sessionInfo()

R version 4.2.0 (2022-04-22 ucrt)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 19045)

Matrix products: default

locale:
[1] LC_COLLATE=German_Germany.utf8  LC_CTYPE=German_Germany.utf8   
[3] LC_MONETARY=German_Germany.utf8 LC_NUMERIC=C                   
[5] LC_TIME=German_Germany.utf8    

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] wesanderson_0.3.6   PupillometryR_0.0.4 rlang_1.0.6        
 [4] dplyr_1.1.0         cowplot_1.1.1       ggdist_3.2.1       
 [7] MCMCglmm_2.34       coda_0.19-4         RColorBrewer_1.1-3 
[10] ggplot2_3.4.1       data.table_1.14.8   multcomp_1.4-23    
[13] TH.data_1.1-1       survival_3.3-1      mvtnorm_1.1-3      
[16] psych_2.2.9         pwr_1.3-0           MASS_7.3-56        
[19] metafor_3.8-1       metadat_1.2-0       Matrix_1.5-3       
[22] matrixcalc_1.0-6    ape_5.7-1          

loaded via a namespace (and not attached):
 [1] sass_0.4.5           jsonlite_1.8.4       splines_4.2.0       
 [4] bslib_0.4.2          distributional_0.3.1 highr_0.10          
 [7] tensorA_0.36.2       yaml_2.3.7           pillar_1.8.1        
[10] lattice_0.20-45      glue_1.6.2           digest_0.6.31       
[13] promises_1.2.0.1     colorspace_2.1-0     sandwich_3.0-2      
[16] htmltools_0.5.4      httpuv_1.6.9         pkgconfig_2.0.3     
[19] corpcor_1.6.10       scales_1.2.1         whisker_0.4.1       
[22] later_1.3.0          cubature_2.0.4.6     git2r_0.31.0        
[25] tibble_3.2.0         generics_0.1.3       farver_2.1.1        
[28] cachem_1.0.7         withr_2.5.0          cli_3.6.1           
[31] mnormt_2.1.1         magrittr_2.0.3       evaluate_0.20       
[34] fs_1.6.1             fansi_1.0.4          nlme_3.1-157        
[37] tools_4.2.0          lifecycle_1.0.3      stringr_1.5.0       
[40] munsell_0.5.0        compiler_4.2.0       jquerylib_0.1.4     
[43] grid_4.2.0           rstudioapi_0.14      labeling_0.4.2      
[46] rmarkdown_2.20       gtable_0.3.1         codetools_0.2-18    
[49] R6_2.5.1             zoo_1.8-11           knitr_1.42          
[52] fastmap_1.1.1        utf8_1.2.3           workflowr_1.7.0     
[55] mathjaxr_1.6-0       rprojroot_2.0.3      stringi_1.7.12      
[58] parallel_4.2.0       Rcpp_1.0.10          vctrs_0.5.2         
[61] tidyselect_1.2.0     xfun_0.37