レースなどの着順データの強さを推定する
UPDATE: 2024-01-24 21:13:25.081431
はじめに
このノートは「ベイズ統計」に関する何らかの内容をまとめ、ベイズ統計への理解を深めていくために作成している。今回はランキング(順位)が結果として記録されるようなデータを扱う。なんとかランキングや競馬や競艇なども同じような形で扱うことができる。
準備
ここでは競馬の着順が記録されているデータを作成する。データの生成過程を知っているので、問題なく推定できるかを検証する。まずは必要なライブラリや設定を行う。
library(tidyverse)
library(rstan)
library(ggplot2)
library(patchwork)
options(max.print = 999999)
rstan_options(auto_write=TRUE)
options(mc.cores=parallel::detectCores())データの生成過程として下記を想定する。
- 馬は10頭
- 毎試合、無作為に選ばれた5頭が競い合う
- 試合は500試合
- 潜在的な強さ\(\mu\)は、1番目が1番弱く、10番目が1番強いと仮定
- 勝負ムラ\(\sigma_{pf}\)は、1番目が1番大きく、10番目が1番小さいと仮定
- 着順は毎試合ごとに各馬の潜在的な強さを平均、勝負ムラを標準偏差とする正規分布により生成された値を降順で並び替え、着順とする
N <- 10
G1 <- 500
MU <- seq(-3, 3, length.out = N)
S <- seq(5, 0.1, length.out = N)
res <- data.frame()
set.seed(1989)
for (i in 1:G1) {
pick <- sample(1:N, 5, replace = FALSE)
pf <- rnorm(length(pick), mean = MU[pick], sd = S[pick])
or <- order(pf, decreasing = FALSE)
df <- data.frame(id = i, horceid = pick[or], pf = pf[or], rank = 5:1)
res <- rbind(res, df)
}
# 5試合分を表示する
res[1:25,]## id horceid pf rank
## 1 1 2 -3.8761463 5
## 2 1 3 0.4239888 4
## 3 1 7 1.4817953 3
## 4 1 9 1.9381628 2
## 5 1 10 2.9805586 1
## 6 2 5 -7.1940423 5
## 7 2 8 1.3135998 4
## 8 2 10 3.0479714 3
## 9 2 3 3.3245018 2
## 10 2 1 6.7945330 1
## 11 3 2 -4.3182887 5
## 12 3 6 -1.0455953 4
## 13 3 7 0.3762580 3
## 14 3 8 2.7545620 2
## 15 3 10 3.0175591 1
## 16 4 4 -5.2338845 5
## 17 4 5 -1.7459025 4
## 18 4 3 -0.2543872 3
## 19 4 9 2.2285633 2
## 20 4 2 3.0566755 1
## 21 5 3 -9.9706608 5
## 22 5 6 -2.3890139 4
## 23 5 8 0.5642072 3
## 24 5 7 0.8693742 2
## 25 5 5 3.1653470 1このデータをStanに渡せるように変換しておく。着順が遅い順で、左から右(5位->4位->3位->2位->1位)に並んでいるデータを作成する必要があるので、横長のデータにしておく。
# 着順が遅い順で、左から右(5位->4位->3位->2位->1位)に並んでいる
d <- res %>%
pivot_wider(
id_cols = id,
names_from = rank,
values_from = horceid
) %>%
select(-id) %>% as.matrix()
# 5試合分を表示する
d[1:5,]## 5 4 3 2 1
## [1,] 2 3 7 9 10
## [2,] 5 8 10 3 1
## [3,] 2 6 7 8 10
## [4,] 4 5 3 9 2
## [5,] 3 6 8 7 5データを用意する。
data <- list(
N = N,
G = nrow(d),
LW = d
)
map(.x = data, .f = function(x){head(x, 10)})## $N
## [1] 10
##
## $G
## [1] 500
##
## $LW
## 5 4 3 2 1
## [1,] 2 3 7 9 10
## [2,] 5 8 10 3 1
## [3,] 2 6 7 8 10
## [4,] 4 5 3 9 2
## [5,] 3 6 8 7 5
## [6,] 8 9 1 7 6
## [7,] 4 7 8 9 5
## [8,] 2 7 6 10 4
## [9,] 4 1 5 9 7
## [10,] 8 2 5 9 10モデルについては、これまでも扱っているモデルを利用する。
$$ \[\begin{eqnarray} performance[g,1] &\sim& Normal(\mu[Player[g] ],\sigma_{pf}[Player[g] ]) &\quad g=1...G \\ ...\\ performance[g,5] &\sim& Normal(\mu[Player[g] ],\sigma_{pf}[Player[g] ]) &\quad g=1...G \\ performance[g,1] &\lt& performance[g,2] \lt ... \lt performance[g,5] &\quad g=1...G \\ \mu[n] &\sim& Normal(0, \sigma_{\mu}) &\quad n=1...N \\ \sigma_{pf}[n] &\sim& Gamma(10, 10) &\quad n=1...N \\ \end{eqnarray}\] $$
着順を扱えるようにStanのモデルではordered型を利用している。
parameters {
ordered[5] performance[G];
vector[N] mu;
real<lower=0> s_mu;
vector<lower=0>[N] s_pf;
}モデルの挙動を深掘りしておく。performanceの部分が増えただけで、これまでと大きくは変わらない。
model {
mu ~ normal(0, s_mu);
s_pf ~ gamma(10, 10);
for (g in 1:G){
for (i in 1:5){
performance[g,i] ~ normal(mu[LW[g,i]], s_pf[LW[g,i]]);
}
}
}
// g=1, i=1...5
performance[1,1] ~ normal(mu[LW[1,2]], s_pf[LW[1,1]]); -> performance[1,1] ~ normal(mu[2] , s_pf[2] );
performance[1,2] ~ normal(mu[LW[1,2]], s_pf[LW[1,2]]); -> performance[1,2] ~ normal(mu[3] , s_pf[3] );
performance[1,3] ~ normal(mu[LW[1,3]], s_pf[LW[1,3]]); -> performance[1,3] ~ normal(mu[9] , s_pf[9] );
performance[1,4] ~ normal(mu[LW[1,4]], s_pf[LW[1,4]]); -> performance[1,4] ~ normal(mu[7] , s_pf[7] );
performance[1,5] ~ normal(mu[LW[1,5]], s_pf[LW[1,5]]); -> performance[1,5] ~ normal(mu[10], s_pf[10]);
// データ
$LW
5 4 3 2 1
[1,] 2 3 9 7 10
// 制約条件
performance[1,1] < performance[1,2] < performance[1,3] < performance[1,4] < performance[1,5]
馬2 < 馬3 < 馬9 < 馬7 < 馬10という順になっている先にコンパイルしてから、
model <- stan_model('model-order.stan')sampling()関数でサンプリングする。
fit <- sampling(object = model, data = data, seed = 1989, chain = 4, iter = 4000)推定結果を確認する。データ生成過程で設定した通り、大きい番号の馬(ID=10)の強さ\(\mu\)から順に推定できている(多少、前後しているケースがあるが、これはサンプルサイズが増えれば解消されるはず)。
# ms <- rstan::extract(fit)
# qua <- apply(ms$mu, 2, quantile, prob = c(0.025, 0.5, 0.975))
# d_est <- data.frame(nid = 1:N, t(qua), check.names = FALSE)
# d_est[rev(order(d_est$`50%`)),]
print(fit, prob = c(0.025, 0.5, 0.975), pars = c('mu'))## Inference for Stan model: anon_model.
## 4 chains, each with iter=4000; warmup=2000; thin=1;
## post-warmup draws per chain=2000, total post-warmup draws=8000.
##
## mean se_mean sd 2.5% 50% 97.5% n_eff Rhat
## mu[1] -1.12 0.02 0.35 -1.83 -1.10 -0.48 271 1.04
## mu[2] -0.91 0.02 0.32 -1.58 -0.90 -0.31 263 1.04
## mu[3] -0.80 0.02 0.33 -1.48 -0.79 -0.19 253 1.04
## mu[4] -0.45 0.02 0.31 -1.08 -0.44 0.14 248 1.04
## mu[5] 0.02 0.02 0.30 -0.62 0.02 0.61 292 1.03
## mu[6] 0.11 0.02 0.30 -0.51 0.11 0.70 303 1.03
## mu[7] 0.41 0.02 0.30 -0.21 0.41 0.99 325 1.03
## mu[8] 0.54 0.02 0.30 -0.09 0.54 1.13 339 1.03
## mu[9] 0.86 0.02 0.31 0.24 0.86 1.47 382 1.03
## mu[10] 1.25 0.02 0.32 0.61 1.25 1.88 428 1.02
##
## Samples were drawn using NUTS(diag_e) at Wed Jan 24 21:18:41 2024.
## For each parameter, n_eff is a crude measure of effective sample size,
## and Rhat is the potential scale reduction factor on split chains (at
## convergence, Rhat=1).stan_plot(
fit,
point_est = 'mean',
show_density = TRUE,
ci_level = 0.9,
outer_level = 1,
pars = 'mu',
fill_color = 'tomato'
) + labs(title = 'Mu')
勝負ムラ\(\sigma_{pf}\)は、小さい番号の馬(ID=1)のムラが大きく、設定した通りに推定できている(多少、前後しているケースがあるが、これはサンプルサイズが増えれば解消されるはず)。
print(fit, prob = c(0.025, 0.5, 0.975), pars = c('s_pf'))## Inference for Stan model: anon_model.
## 4 chains, each with iter=4000; warmup=2000; thin=1;
## post-warmup draws per chain=2000, total post-warmup draws=8000.
##
## mean se_mean sd 2.5% 50% 97.5% n_eff Rhat
## s_pf[1] 1.88 0.01 0.22 1.48 1.87 2.34 444 1.01
## s_pf[2] 1.56 0.01 0.19 1.22 1.54 1.95 479 1.01
## s_pf[3] 1.44 0.01 0.18 1.13 1.43 1.81 475 1.01
## s_pf[4] 1.43 0.01 0.17 1.14 1.42 1.80 403 1.01
## s_pf[5] 1.16 0.01 0.14 0.90 1.15 1.45 452 1.01
## s_pf[6] 0.85 0.00 0.11 0.66 0.84 1.08 522 1.01
## s_pf[7] 0.66 0.00 0.09 0.50 0.66 0.85 569 1.01
## s_pf[8] 0.52 0.00 0.08 0.39 0.51 0.68 728 1.01
## s_pf[9] 0.31 0.00 0.06 0.20 0.31 0.44 444 1.00
## s_pf[10] 0.30 0.00 0.07 0.17 0.30 0.45 403 1.00
##
## Samples were drawn using NUTS(diag_e) at Wed Jan 24 21:18:41 2024.
## For each parameter, n_eff is a crude measure of effective sample size,
## and Rhat is the potential scale reduction factor on split chains (at
## convergence, Rhat=1).stan_plot(
fit,
point_est = 'mean',
show_density = TRUE,
ci_level = 0.9,
outer_level = 1,
pars = 's_pf',
fill_color = 'royalblue'
) + labs(title = 'Sigma_pf')
拡張版
先程は次元が固定されている例を扱った。つまり、毎試合、馬は5頭で試合も500試合で固定されていたが、同じ馬が毎試合、馬は3頭で300試合で固定されていた異なる次元のデータも利用して、馬10頭に対して、800試合の結果から強さ、勝負ムラを推定したい。このようなケースをここでは扱う。
まずは馬は3頭で300試合分のサンプルデータを作成する。
# N <- 10
G2 <- 300
res_sm <- data.frame()
set.seed(9891)
for (i in 1:G2) {
pick <- sample(1:N, 3, replace = FALSE)
pf <- rnorm(length(pick), mean = MU[pick], sd = S[pick])
or <- order(pf, decreasing = FALSE)
df <- data.frame(id = i, horceid = pick[or], pf = pf[or], rank = 3:1)
res_sm <- rbind(res_sm, df)
}
d_sm <- res_sm %>%
pivot_wider(
id_cols = id,
names_from = rank,
values_from = horceid
) %>%
select(-id) %>%
as.matrix()
d_sm[1:5,]## 3 2 1
## [1,] 4 2 10
## [2,] 3 9 6
## [3,] 9 7 10
## [4,] 4 3 10
## [5,] 5 7 9これを先程のデータと結合する。dの列の値に対してd_smの足りていない列の値は0埋めして結合する。他にもいろんな方法があるかもしれないが、ここではこの方法で試合データを作成する。
# dの列サイズに対してd_smの足りていない列サイズを0埋めして結合
d_c <- rbind(d, cbind(d_sm, matrix(0, nrow = 300, ncol = 2)))
list(
head(d_c, 15),
tail(d_c, 15)
)## [[1]]
## 5 4 3 2 1
## [1,] 2 3 7 9 10
## [2,] 5 8 10 3 1
## [3,] 2 6 7 8 10
## [4,] 4 5 3 9 2
## [5,] 3 6 8 7 5
## [6,] 8 9 1 7 6
## [7,] 4 7 8 9 5
## [8,] 2 7 6 10 4
## [9,] 4 1 5 9 7
## [10,] 8 2 5 9 10
## [11,] 3 1 2 9 10
## [12,] 2 3 5 6 8
## [13,] 2 3 6 5 7
## [14,] 5 4 3 2 9
## [15,] 4 6 5 8 3
##
## [[2]]
## 5 4 3 2 1
## [786,] 3 1 5 0 0
## [787,] 7 5 2 0 0
## [788,] 3 5 9 0 0
## [789,] 5 1 10 0 0
## [790,] 2 7 6 0 0
## [791,] 1 6 9 0 0
## [792,] 5 1 7 0 0
## [793,] 10 9 3 0 0
## [794,] 2 9 5 0 0
## [795,] 8 10 2 0 0
## [796,] 4 6 3 0 0
## [797,] 5 8 3 0 0
## [798,] 6 5 8 0 0
## [799,] 2 7 9 0 0
## [800,] 1 4 9 0 0あとは必要なデータを渡して推定する。
data2 <- list(
N = N,
G = c(G1,G2),
I = c(5, 3),
LW = d_c
)
map(.x = data2, .f = function(x){head(x, 10)})## $N
## [1] 10
##
## $G
## [1] 500 300
##
## $I
## [1] 5 3
##
## $LW
## 5 4 3 2 1
## [1,] 2 3 7 9 10
## [2,] 5 8 10 3 1
## [3,] 2 6 7 8 10
## [4,] 4 5 3 9 2
## [5,] 3 6 8 7 5
## [6,] 8 9 1 7 6
## [7,] 4 7 8 9 5
## [8,] 2 7 6 10 4
## [9,] 4 1 5 9 7
## [10,] 8 2 5 9 10モデルは下記の通り。もう少しデータの渡し方、指定の仕方などやりようはありそうだが、ここではこれで良しとする。rのインデックスを使って、5頭500試合なのか、3頭300試合なのかを切り替えて推定している。
data {
int N;
int G[2];
int I[2];
int LW[sum(G), 5];
}
parameters {
ordered[5] performance5[G[1]];
ordered[3] performance3[G[2]];
vector[N] mu;
real<lower=0> s_mu;
vector<lower=0>[N] s_pf;
}
model {
mu ~ normal(0, s_mu);
s_mu ~ gamma(10, 10);
s_pf ~ gamma(10, 10);
for (r in 1:2){
for (g in 1:G[r]){
for (i in 1:I[r]){
if (r==1){
performance5[g,i] ~ normal(mu[LW[g,i]], s_pf[LW[g,i]]);
} else {
performance3[g,i] ~ normal(mu[LW[g,i]], s_pf[LW[g,i]]);
}
}
}
}
}先にコンパイルしてから、
model <- stan_model('model-order2.stan')sampling()関数でサンプリングする。
fit2 <- sampling(object = model, data = data2, seed = 1989, chain = 4, iter = 4000)推定結果を確認する。
print(fit2, prob = c(0.025, 0.5, 0.975))## Inference for Stan model: anon_model.
## 4 chains, each with iter=4000; warmup=2000; thin=1;
## post-warmup draws per chain=2000, total post-warmup draws=8000.
##
## mean se_mean sd 2.5% 50% 97.5% n_eff
## performance5[1,1] -2.10 0.04 1.16 -4.62 -2.01 -0.11 693
## performance5[1,2] -0.81 0.04 0.91 -2.78 -0.74 0.78 560
## performance5[1,3] 0.32 0.03 0.57 -0.86 0.33 1.41 280
## performance5[1,4] 0.93 0.03 0.44 0.09 0.91 1.86 180
## performance5[1,5] 1.39 0.03 0.46 0.53 1.37 2.37 219
## performance5[2,1] -0.64 0.04 0.94 -2.67 -0.55 0.97 575
## performance5[2,2] 0.56 0.03 0.54 -0.51 0.57 1.63 242
## performance5[2,3] 1.18 0.03 0.46 0.30 1.17 2.16 198
## performance5[2,4] 1.60 0.03 0.59 0.54 1.55 2.94 350
## performance5[2,5] 2.45 0.03 0.94 0.97 2.31 4.62 907
## performance5[3,1] -1.77 0.04 1.13 -4.26 -1.65 0.13 738
## performance5[3,2] -0.31 0.04 0.65 -1.65 -0.29 0.93 297
## performance5[3,3] 0.32 0.03 0.55 -0.76 0.33 1.42 246
## performance5[3,4] 0.80 0.03 0.50 -0.16 0.79 1.85 233
## performance5[3,5] 1.37 0.03 0.47 0.49 1.35 2.40 224
## performance5[4,1] -1.78 0.04 1.05 -4.10 -1.70 0.07 654
## performance5[4,2] -0.65 0.04 0.79 -2.32 -0.62 0.80 463
## performance5[4,3] 0.05 0.03 0.71 -1.42 0.09 1.31 416
## performance5[4,4] 0.90 0.03 0.46 0.00 0.89 1.89 194
## performance5[4,5] 1.61 0.03 0.78 0.37 1.49 3.41 590
## performance5[5,1] -1.68 0.04 1.14 -4.24 -1.56 0.23 714
## performance5[5,2] -0.25 0.04 0.65 -1.59 -0.23 0.96 320
## performance5[5,3] 0.42 0.03 0.52 -0.60 0.41 1.51 238
## performance5[5,4] 0.83 0.03 0.56 -0.20 0.81 2.01 287
## performance5[5,5] 1.53 0.03 0.76 0.23 1.46 3.23 580
## performance5[6,1] 0.26 0.03 0.51 -0.76 0.27 1.28 217
## performance5[6,2] 0.70 0.03 0.44 -0.13 0.69 1.61 181
## performance5[6,3] 0.92 0.03 0.47 0.05 0.90 1.92 215
## performance5[6,4] 1.17 0.03 0.50 0.26 1.15 2.24 257
## performance5[6,5] 1.60 0.03 0.61 0.54 1.55 2.92 406
## performance5[7,1] -1.30 0.04 1.08 -3.72 -1.18 0.47 829
## performance5[7,2] 0.07 0.04 0.57 -1.10 0.08 1.18 251
## performance5[7,3] 0.57 0.03 0.48 -0.37 0.57 1.57 196
## performance5[7,4] 0.97 0.03 0.45 0.11 0.95 1.92 182
## performance5[7,5] 1.63 0.03 0.71 0.47 1.54 3.27 471
## performance5[8,1] -1.60 0.04 1.22 -4.33 -1.49 0.45 770
## performance5[8,2] 0.05 0.03 0.62 -1.21 0.06 1.22 320
## performance5[8,3] 0.59 0.03 0.57 -0.55 0.60 1.71 316
## performance5[8,4] 1.26 0.03 0.46 0.39 1.25 2.25 220
## performance5[8,5] 1.95 0.03 0.76 0.73 1.85 3.69 585
## performance5[9,1] -2.06 0.05 1.13 -4.48 -1.97 -0.08 613
## performance5[9,2] -1.04 0.04 0.96 -3.10 -0.98 0.64 574
## performance5[9,3] -0.01 0.04 0.73 -1.59 0.05 1.27 408
## performance5[9,4] 0.84 0.03 0.45 -0.02 0.83 1.78 186
## performance5[9,5] 1.28 0.03 0.56 0.28 1.23 2.50 305
## performance5[10,1] -0.07 0.04 0.55 -1.17 -0.06 1.00 221
## performance5[10,2] 0.23 0.04 0.53 -0.84 0.24 1.27 228
## performance5[10,3] 0.59 0.03 0.50 -0.42 0.60 1.57 224
## performance5[10,4] 0.99 0.03 0.44 0.15 0.98 1.89 178
## performance5[10,5] 1.41 0.03 0.45 0.57 1.38 2.37 220
## performance5[11,1] -2.35 0.05 1.17 -4.83 -2.28 -0.24 628
## performance5[11,2] -1.29 0.04 1.02 -3.45 -1.24 0.53 723
## performance5[11,3] -0.28 0.03 0.88 -2.17 -0.20 1.19 662
## performance5[11,4] 0.90 0.03 0.45 0.05 0.88 1.83 181
## performance5[11,5] 1.38 0.03 0.46 0.54 1.36 2.38 213
## performance5[12,1] -2.36 0.05 1.10 -4.69 -2.29 -0.46 555
## performance5[12,2] -1.25 0.04 0.87 -3.12 -1.20 0.31 469
## performance5[12,3] -0.40 0.04 0.71 -1.84 -0.38 0.94 368
## performance5[12,4] 0.25 0.03 0.63 -1.01 0.25 1.47 327
## performance5[12,5] 0.89 0.03 0.58 -0.23 0.87 2.08 306
## performance5[13,1] -2.30 0.04 1.11 -4.70 -2.22 -0.37 620
## performance5[13,2] -1.15 0.04 0.88 -3.03 -1.10 0.42 490
## performance5[13,3] -0.24 0.04 0.68 -1.62 -0.23 1.11 354
## performance5[13,4] 0.34 0.03 0.67 -0.95 0.33 1.69 374
## performance5[13,5] 1.00 0.03 0.66 -0.24 0.97 2.36 449
## performance5[14,1] -1.67 0.04 0.88 -3.52 -1.62 -0.04 431
## performance5[14,2] -0.98 0.04 0.79 -2.61 -0.94 0.49 404
## performance5[14,3] -0.41 0.04 0.73 -1.91 -0.39 0.94 401
## performance5[14,4] 0.21 0.04 0.69 -1.24 0.24 1.48 384
## performance5[14,5] 1.00 0.03 0.48 0.11 0.98 1.99 210
## performance5[15,1] -1.61 0.04 1.03 -3.95 -1.51 0.13 714
## performance5[15,2] -0.43 0.04 0.68 -1.79 -0.43 0.88 333
## performance5[15,3] 0.12 0.03 0.62 -1.10 0.12 1.34 328
## performance5[15,4] 0.69 0.03 0.56 -0.39 0.68 1.86 292
## performance5[15,5] 1.45 0.03 0.83 0.05 1.36 3.35 732
## performance5[16,1] -1.59 0.04 1.19 -4.22 -1.47 0.40 742
## performance5[16,2] 0.05 0.04 0.61 -1.18 0.06 1.23 292
## performance5[16,3] 0.59 0.03 0.57 -0.58 0.60 1.70 285
## performance5[16,4] 1.26 0.03 0.47 0.35 1.24 2.24 201
## performance5[16,5] 1.86 0.03 0.70 0.70 1.78 3.46 494
## performance5[17,1] -1.96 0.04 1.13 -4.36 -1.89 0.02 704
## performance5[17,2] -0.92 0.04 0.98 -3.00 -0.88 0.84 655
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## performance3[242,2] 0.29 0.04 0.61 -0.97 0.30 1.46 296
## performance3[242,3] 1.00 0.03 0.47 0.14 0.98 2.00 202
## performance3[243,1] -1.98 0.04 1.21 -4.54 -1.91 0.13 797
## performance3[243,2] -0.68 0.04 1.02 -2.86 -0.60 1.11 796
## performance3[243,3] 0.73 0.03 0.60 -0.41 0.73 1.95 359
## performance3[244,1] -2.37 0.05 1.47 -5.62 -2.23 0.12 1025
## performance3[244,2] -0.42 0.04 0.91 -2.29 -0.40 1.33 682
## performance3[244,3] 0.63 0.03 0.83 -0.95 0.61 2.33 606
## performance3[245,1] -0.57 0.04 0.78 -2.15 -0.56 0.98 434
## performance3[245,2] 0.17 0.03 0.81 -1.36 0.15 1.82 551
## performance3[245,3] 1.07 0.03 1.00 -0.70 0.99 3.21 944
## performance3[246,1] -1.99 0.04 1.16 -4.42 -1.94 0.13 708
## performance3[246,2] -0.73 0.04 0.97 -2.73 -0.69 1.10 720
## performance3[246,3] 0.52 0.03 0.84 -1.10 0.51 2.24 635
## performance3[247,1] -2.24 0.04 1.54 -5.71 -2.06 0.30 1323
## performance3[247,2] -0.14 0.04 0.82 -1.71 -0.15 1.47 486
## performance3[247,3] 0.91 0.03 1.02 -0.93 0.87 3.08 989
## performance3[248,1] -2.41 0.04 1.48 -5.67 -2.29 0.12 1385
## performance3[248,2] -0.51 0.04 1.00 -2.51 -0.50 1.49 616
## performance3[248,3] 0.59 0.04 1.13 -1.53 0.54 2.92 1018
## performance3[249,1] -2.12 0.04 1.19 -4.60 -2.07 0.09 783
## performance3[249,2] -0.90 0.04 1.15 -3.17 -0.90 1.33 1059
## performance3[249,3] 0.51 0.03 1.19 -1.71 0.48 2.91 1481
## performance3[250,1] -0.20 0.04 0.69 -1.54 -0.21 1.19 340
## performance3[250,2] 0.36 0.03 0.77 -1.07 0.32 1.99 488
## performance3[250,3] 1.21 0.03 0.94 -0.43 1.12 3.26 910
## performance3[251,1] -1.46 0.04 1.21 -4.13 -1.34 0.58 737
## performance3[251,2] 0.22 0.04 0.70 -1.17 0.21 1.63 377
## performance3[251,3] 1.07 0.03 0.93 -0.55 1.00 3.09 869
## performance3[252,1] -0.31 0.04 0.73 -1.85 -0.27 1.05 431
## performance3[252,2] 0.57 0.03 0.56 -0.50 0.55 1.74 282
## performance3[252,3] 1.34 0.03 0.79 0.01 1.26 3.10 640
## performance3[253,1] -1.16 0.04 0.95 -3.18 -1.12 0.58 560
## performance3[253,2] -0.28 0.04 0.86 -2.08 -0.24 1.34 535
## performance3[253,3] 0.75 0.03 0.70 -0.60 0.74 2.20 422
## performance3[254,1] -0.59 0.04 0.77 -2.18 -0.56 0.83 373
## performance3[254,2] 0.11 0.04 0.72 -1.41 0.14 1.40 399
## performance3[254,3] 0.99 0.03 0.47 0.15 0.97 2.01 206
## performance3[255,1] -0.85 0.04 0.90 -2.80 -0.80 0.76 575
## performance3[255,2] 0.16 0.03 0.66 -1.22 0.20 1.34 369
## performance3[255,3] 0.98 0.03 0.47 0.09 0.98 1.98 203
## performance3[256,1] -1.88 0.04 1.18 -4.37 -1.82 0.27 768
## performance3[256,2] -0.53 0.04 1.03 -2.55 -0.53 1.45 800
## performance3[256,3] 0.71 0.03 1.04 -1.26 0.70 2.87 1231
## performance3[257,1] -0.67 0.04 0.92 -2.71 -0.58 0.86 532
## performance3[257,2] 0.50 0.03 0.52 -0.51 0.49 1.53 239
## performance3[257,3] 1.03 0.03 0.46 0.18 1.01 2.00 196
## performance3[258,1] -2.11 0.04 1.23 -4.73 -2.04 0.15 877
## performance3[258,2] -0.79 0.04 1.06 -2.94 -0.80 1.27 851
## performance3[258,3] 0.54 0.03 1.15 -1.65 0.51 2.90 1174
## performance3[259,1] -1.83 0.04 1.19 -4.34 -1.75 0.26 861
## performance3[259,2] -0.49 0.04 0.98 -2.60 -0.41 1.17 660
## performance3[259,3] 0.96 0.03 0.47 0.05 0.94 1.94 209
## performance3[260,1] -2.56 0.04 1.46 -5.80 -2.46 -0.04 1105
## performance3[260,2] -0.76 0.04 1.04 -2.96 -0.66 1.02 817
## performance3[260,3] 0.71 0.03 0.60 -0.44 0.70 1.97 306
## performance3[261,1] -1.83 0.04 1.16 -4.21 -1.79 0.32 701
## performance3[261,2] -0.68 0.04 1.10 -2.86 -0.66 1.46 965
## performance3[261,3] 0.69 0.03 1.05 -1.28 0.66 2.87 1330
## performance3[262,1] -0.14 0.04 0.62 -1.38 -0.13 1.03 291
## performance3[262,2] 0.37 0.03 0.58 -0.79 0.37 1.50 279
## performance3[262,3] 0.93 0.03 0.56 -0.13 0.92 2.11 289
## performance3[263,1] -2.28 0.05 1.49 -5.55 -2.13 0.23 900
## performance3[263,2] -0.32 0.04 0.87 -2.12 -0.27 1.29 536
## performance3[263,3] 0.76 0.03 0.60 -0.39 0.74 2.02 328
## performance3[264,1] -1.43 0.04 1.24 -4.19 -1.30 0.60 978
## performance3[264,2] 0.40 0.03 0.56 -0.71 0.40 1.50 272
## performance3[264,3] 1.01 0.03 0.62 -0.14 0.97 2.31 363
## performance3[265,1] -1.97 0.04 1.59 -5.53 -1.78 0.52 1326
## performance3[265,2] 0.44 0.03 0.53 -0.61 0.44 1.50 240
## performance3[265,3] 1.01 0.03 0.46 0.16 1.00 1.99 198
## performance3[266,1] -1.47 0.04 1.18 -4.05 -1.36 0.51 839
## performance3[266,2] 0.19 0.03 0.66 -1.10 0.19 1.52 362
## performance3[266,3] 0.91 0.03 0.73 -0.43 0.87 2.46 515
## performance3[267,1] -1.15 0.04 0.95 -3.12 -1.10 0.57 555
## performance3[267,2] -0.24 0.04 0.86 -1.98 -0.24 1.45 546
## performance3[267,3] 0.69 0.03 0.81 -0.82 0.67 2.37 606
## performance3[268,1] -1.69 0.04 1.13 -4.14 -1.64 0.31 760
## performance3[268,2] -0.51 0.04 0.94 -2.49 -0.46 1.17 708
## performance3[268,3] 0.74 0.03 0.61 -0.42 0.72 1.99 329
## performance3[269,1] -1.84 0.04 1.22 -4.47 -1.76 0.32 856
## performance3[269,2] -0.37 0.04 0.95 -2.49 -0.28 1.24 721
## performance3[269,3] 0.96 0.03 0.47 0.08 0.94 1.97 203
## performance3[270,1] -2.57 0.05 1.46 -5.84 -2.45 -0.06 949
## performance3[270,2] -0.77 0.04 1.03 -2.90 -0.73 1.13 723
## performance3[270,3] 0.53 0.03 0.85 -1.08 0.50 2.28 690
## performance3[271,1] -0.59 0.04 0.76 -2.16 -0.57 0.83 413
## performance3[271,2] 0.11 0.03 0.70 -1.37 0.15 1.41 428
## performance3[271,3] 0.99 0.03 0.47 0.09 0.97 2.01 200
## performance3[272,1] -1.18 0.04 0.96 -3.18 -1.14 0.59 537
## performance3[272,2] -0.30 0.04 0.87 -2.10 -0.26 1.34 521
## performance3[272,3] 0.76 0.03 0.70 -0.57 0.74 2.20 443
## performance3[273,1] -1.18 0.04 1.28 -4.00 -1.05 0.85 1172
## performance3[273,2] 0.80 0.03 0.46 -0.08 0.79 1.75 203
## performance3[273,3] 1.24 0.03 0.56 0.24 1.21 2.44 298
## performance3[274,1] -2.58 0.04 1.44 -5.66 -2.44 -0.09 1161
## performance3[274,2] -0.81 0.04 1.05 -3.04 -0.75 1.05 703
## performance3[274,3] 0.64 0.03 0.73 -0.77 0.62 2.11 448
## performance3[275,1] -2.25 0.05 1.48 -5.45 -2.10 0.26 950
## performance3[275,2] -0.20 0.04 0.82 -1.83 -0.21 1.44 541
## performance3[275,3] 0.80 0.03 1.03 -1.03 0.74 3.05 953
## performance3[276,1] -1.61 0.04 1.15 -4.14 -1.54 0.45 669
## performance3[276,2] -0.40 0.04 0.94 -2.36 -0.32 1.17 701
## performance3[276,3] 0.97 0.03 0.48 0.07 0.96 1.98 207
## performance3[277,1] -1.70 0.04 1.12 -4.11 -1.64 0.27 685
## performance3[277,2] -0.52 0.04 0.94 -2.56 -0.46 1.16 598
## performance3[277,3] 0.73 0.03 0.60 -0.41 0.71 1.99 323
## performance3[278,1] -1.96 0.04 1.54 -5.43 -1.81 0.52 1434
## performance3[278,2] 0.39 0.03 0.56 -0.72 0.39 1.53 268
## performance3[278,3] 1.00 0.03 0.63 -0.16 0.97 2.34 363
## performance3[279,1] -2.54 0.05 1.49 -5.84 -2.43 0.02 1007
## performance3[279,2] -0.74 0.04 1.07 -2.91 -0.72 1.29 804
## performance3[279,3] 0.62 0.03 1.06 -1.39 0.59 2.84 926
## performance3[280,1] -1.19 0.04 1.12 -3.64 -1.07 0.67 762
## performance3[280,2] 0.31 0.04 0.61 -0.94 0.33 1.47 295
## performance3[280,3] 1.01 0.03 0.47 0.15 0.99 2.00 198
## performance3[281,1] -2.71 0.05 1.46 -5.94 -2.62 -0.19 915
## performance3[281,2] -0.98 0.04 1.13 -3.23 -0.95 1.17 865
## performance3[281,3] 0.52 0.04 1.08 -1.54 0.48 2.74 924
## performance3[282,1] -1.78 0.05 1.19 -4.25 -1.70 0.37 673
## performance3[282,2] -0.33 0.04 0.94 -2.33 -0.25 1.25 631
## performance3[282,3] 0.97 0.03 0.47 0.08 0.95 1.97 202
## performance3[283,1] -0.11 0.04 0.63 -1.40 -0.09 1.07 319
## performance3[283,2] 0.43 0.03 0.58 -0.74 0.46 1.57 288
## performance3[283,3] 1.03 0.03 0.47 0.17 1.00 2.05 197
## performance3[284,1] -0.43 0.04 0.71 -1.93 -0.39 0.87 350
## performance3[284,2] 0.35 0.03 0.57 -0.78 0.34 1.49 279
## performance3[284,3] 0.92 0.03 0.55 -0.12 0.90 2.06 276
## performance3[285,1] -1.43 0.04 1.10 -3.82 -1.35 0.58 772
## performance3[285,2] -0.08 0.03 0.79 -1.61 -0.09 1.50 557
## performance3[285,3] 0.88 0.03 1.02 -0.94 0.80 3.11 1138
## performance3[286,1] -2.08 0.04 1.22 -4.66 -2.01 0.07 900
## performance3[286,2] -0.72 0.04 1.07 -3.00 -0.62 1.09 899
## performance3[286,3] 0.73 0.03 0.60 -0.42 0.73 1.95 336
## performance3[287,1] -2.25 0.05 1.50 -5.54 -2.10 0.24 880
## performance3[287,2] -0.19 0.04 0.82 -1.79 -0.20 1.43 543
## performance3[287,3] 0.80 0.03 1.00 -1.02 0.73 2.95 1052
## performance3[288,1] -0.38 0.04 0.75 -1.93 -0.36 1.05 419
## performance3[288,2] 0.44 0.03 0.66 -0.83 0.44 1.77 397
## performance3[288,3] 1.32 0.03 0.91 -0.27 1.24 3.30 843
## performance3[289,1] -2.65 0.05 1.46 -5.81 -2.56 -0.07 1019
## performance3[289,2] -0.90 0.04 1.10 -3.09 -0.89 1.23 984
## performance3[289,3] 0.37 0.03 1.17 -1.81 0.33 2.80 1424
## performance3[290,1] -0.76 0.04 0.94 -2.79 -0.70 0.92 630
## performance3[290,2] 0.35 0.03 0.68 -0.98 0.35 1.71 415
## performance3[290,3] 1.25 0.03 0.95 -0.35 1.17 3.39 906
## performance3[291,1] -1.23 0.04 1.10 -3.67 -1.11 0.61 683
## performance3[291,2] 0.22 0.03 0.60 -1.00 0.23 1.41 311
## performance3[291,3] 0.87 0.03 0.57 -0.21 0.85 2.04 307
## performance3[292,1] -1.48 0.04 1.24 -4.23 -1.35 0.57 929
## performance3[292,2] 0.29 0.03 0.61 -0.94 0.31 1.45 316
## performance3[292,3] 1.00 0.03 0.46 0.15 0.97 1.98 203
## performance3[293,1] -2.65 0.05 1.46 -5.72 -2.56 -0.06 1016
## performance3[293,2] -0.88 0.04 1.09 -3.03 -0.87 1.26 675
## performance3[293,3] 0.39 0.04 1.18 -1.83 0.35 2.87 1081
## performance3[294,1] -2.03 0.04 1.24 -4.63 -1.98 0.27 864
## performance3[294,2] -0.64 0.04 1.10 -2.76 -0.64 1.58 803
## performance3[294,3] 0.72 0.03 1.36 -1.73 0.63 3.59 2108
## performance3[295,1] -0.67 0.04 0.79 -2.25 -0.65 0.82 408
## performance3[295,2] 0.01 0.04 0.78 -1.55 0.02 1.51 445
## performance3[295,3] 0.85 0.03 0.69 -0.46 0.84 2.27 425
## performance3[296,1] -1.51 0.04 1.10 -3.89 -1.42 0.43 725
## performance3[296,2] -0.20 0.04 0.83 -1.92 -0.17 1.35 548
## performance3[296,3] 0.78 0.03 0.71 -0.57 0.77 2.21 483
## performance3[297,1] -2.56 0.04 1.46 -5.68 -2.43 -0.07 1136
## performance3[297,2] -0.76 0.04 1.03 -2.94 -0.68 1.02 822
## performance3[297,3] 0.71 0.03 0.62 -0.47 0.71 1.97 315
## performance3[298,1] -1.57 0.04 1.15 -4.09 -1.46 0.37 709
## performance3[298,2] -0.05 0.03 0.70 -1.49 -0.03 1.25 436
## performance3[298,3] 0.80 0.03 0.59 -0.32 0.79 1.99 325
## performance3[299,1] -1.71 0.04 1.13 -4.06 -1.64 0.32 771
## performance3[299,2] -0.55 0.03 0.95 -2.58 -0.50 1.21 745
## performance3[299,3] 0.69 0.03 0.73 -0.71 0.67 2.16 469
## performance3[300,1] -1.90 0.04 1.21 -4.52 -1.81 0.23 741
## performance3[300,2] -0.48 0.04 0.94 -2.49 -0.40 1.14 616
## performance3[300,3] 0.74 0.03 0.61 -0.41 0.72 1.99 311
## mu[1] -1.32 0.04 0.40 -2.12 -1.32 -0.48 97
## mu[2] -0.93 0.04 0.38 -1.68 -0.93 -0.09 97
## mu[3] -0.84 0.04 0.38 -1.57 -0.84 -0.01 97
## mu[4] -0.50 0.04 0.37 -1.22 -0.51 0.32 101
## mu[5] 0.00 0.04 0.36 -0.69 -0.01 0.81 105
## mu[6] 0.17 0.04 0.36 -0.51 0.16 0.96 107
## mu[7] 0.50 0.03 0.36 -0.17 0.49 1.29 114
## mu[8] 0.63 0.03 0.36 -0.04 0.63 1.44 117
## mu[9] 0.94 0.03 0.37 0.26 0.93 1.73 125
## mu[10] 1.31 0.03 0.37 0.61 1.29 2.11 140
## s_mu 0.96 0.01 0.21 0.62 0.93 1.43 667
## s_pf[1] 1.91 0.01 0.21 1.52 1.90 2.35 263
## s_pf[2] 1.49 0.01 0.17 1.18 1.48 1.85 292
## s_pf[3] 1.46 0.01 0.17 1.15 1.45 1.81 327
## s_pf[4] 1.42 0.01 0.16 1.13 1.41 1.76 255
## s_pf[5] 1.17 0.01 0.14 0.93 1.17 1.47 305
## s_pf[6] 0.85 0.01 0.10 0.66 0.84 1.07 295
## s_pf[7] 0.67 0.00 0.09 0.51 0.66 0.85 325
## s_pf[8] 0.50 0.00 0.07 0.37 0.50 0.65 399
## s_pf[9] 0.30 0.00 0.06 0.18 0.29 0.42 325
## s_pf[10] 0.29 0.00 0.07 0.17 0.29 0.44 319
## lp__ -3093.88 7.00 105.33 -3301.90 -3093.22 -2881.44 226
## Rhat
## performance5[1,1] 1.00
## performance5[1,2] 1.00
## performance5[1,3] 1.00
## performance5[1,4] 1.00
## performance5[1,5] 1.00
## performance5[2,1] 1.00
## performance5[2,2] 1.00
## performance5[2,3] 1.00
## performance5[2,4] 1.00
## performance5[2,5] 1.00
## performance5[3,1] 1.00
## performance5[3,2] 1.00
## performance5[3,3] 1.00
## performance5[3,4] 1.00
## performance5[3,5] 1.00
## performance5[4,1] 1.00
## performance5[4,2] 1.00
## performance5[4,3] 1.00
## performance5[4,4] 1.00
## performance5[4,5] 1.00
## performance5[5,1] 1.00
## performance5[5,2] 1.00
## performance5[5,3] 1.00
## performance5[5,4] 1.00
## performance5[5,5] 1.00
## performance5[6,1] 1.00
## performance5[6,2] 1.00
## performance5[6,3] 1.00
## performance5[6,4] 1.00
## performance5[6,5] 1.00
## performance5[7,1] 1.00
## performance5[7,2] 1.00
## performance5[7,3] 1.00
## performance5[7,4] 1.00
## performance5[7,5] 1.00
## performance5[8,1] 1.00
## performance5[8,2] 1.00
## performance5[8,3] 1.00
## performance5[8,4] 1.00
## performance5[8,5] 1.00
## performance5[9,1] 1.00
## performance5[9,2] 1.00
## performance5[9,3] 1.00
## performance5[9,4] 1.00
## performance5[9,5] 1.00
## performance5[10,1] 1.00
## performance5[10,2] 1.00
## performance5[10,3] 1.00
## performance5[10,4] 1.00
## performance5[10,5] 1.00
## performance5[11,1] 1.00
## performance5[11,2] 1.00
## performance5[11,3] 1.00
## performance5[11,4] 1.00
## performance5[11,5] 1.00
## performance5[12,1] 1.00
## performance5[12,2] 1.00
## performance5[12,3] 1.00
## performance5[12,4] 1.00
## performance5[12,5] 1.00
## performance5[13,1] 1.00
## performance5[13,2] 1.00
## performance5[13,3] 1.00
## performance5[13,4] 1.00
## performance5[13,5] 1.00
## performance5[14,1] 1.00
## performance5[14,2] 1.00
## performance5[14,3] 1.00
## performance5[14,4] 1.00
## performance5[14,5] 1.00
## performance5[15,1] 1.00
## performance5[15,2] 1.00
## performance5[15,3] 1.00
## performance5[15,4] 1.00
## performance5[15,5] 1.00
## performance5[16,1] 1.00
## performance5[16,2] 1.00
## performance5[16,3] 1.00
## performance5[16,4] 1.00
## performance5[16,5] 1.00
## performance5[17,1] 1.00
## performance5[17,2] 1.00
## performance5[17,3] 1.00
## performance5[17,4] 1.00
## performance5[17,5] 1.00
## performance5[18,1] 1.00
## performance5[18,2] 1.00
## performance5[18,3] 1.00
## performance5[18,4] 1.00
## performance5[18,5] 1.00
## performance5[19,1] 1.00
## performance5[19,2] 1.00
## performance5[19,3] 1.00
## performance5[19,4] 1.00
## performance5[19,5] 1.00
## performance5[20,1] 1.00
## performance5[20,2] 1.00
## performance5[20,3] 1.00
## performance5[20,4] 1.00
## performance5[20,5] 1.00
## performance5[21,1] 1.00
## performance5[21,2] 1.00
## performance5[21,3] 1.00
## performance5[21,4] 1.00
## performance5[21,5] 1.00
## performance5[22,1] 1.00
## performance5[22,2] 1.00
## performance5[22,3] 1.00
## performance5[22,4] 1.00
## performance5[22,5] 1.00
## performance5[23,1] 1.00
## performance5[23,2] 1.00
## performance5[23,3] 1.00
## performance5[23,4] 1.00
## performance5[23,5] 1.00
## performance5[24,1] 1.00
## performance5[24,2] 1.00
## performance5[24,3] 1.00
## performance5[24,4] 1.00
## performance5[24,5] 1.00
## performance5[25,1] 1.00
## performance5[25,2] 1.00
## performance5[25,3] 1.00
## performance5[25,4] 1.00
## performance5[25,5] 1.00
## performance5[26,1] 1.00
## performance5[26,2] 1.00
## performance5[26,3] 1.00
## performance5[26,4] 1.00
## performance5[26,5] 1.00
## performance5[27,1] 1.00
## performance5[27,2] 1.00
## performance5[27,3] 1.00
## performance5[27,4] 1.00
## performance5[27,5] 1.00
## performance5[28,1] 1.00
## performance5[28,2] 1.00
## performance5[28,3] 1.00
## performance5[28,4] 1.00
## performance5[28,5] 1.00
## performance5[29,1] 1.00
## performance5[29,2] 1.00
## performance5[29,3] 1.00
## performance5[29,4] 1.00
## performance5[29,5] 1.00
## performance5[30,1] 1.00
## performance5[30,2] 1.00
## performance5[30,3] 1.00
## performance5[30,4] 1.00
## performance5[30,5] 1.00
## performance5[31,1] 1.00
## performance5[31,2] 1.00
## performance5[31,3] 1.00
## performance5[31,4] 1.00
## performance5[31,5] 1.00
## performance5[32,1] 1.00
## performance5[32,2] 1.00
## performance5[32,3] 1.00
## performance5[32,4] 1.00
## performance5[32,5] 1.00
## performance5[33,1] 1.00
## performance5[33,2] 1.00
## performance5[33,3] 1.00
## performance5[33,4] 1.00
## performance5[33,5] 1.00
## performance5[34,1] 1.00
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## performance5[34,3] 1.00
## performance5[34,4] 1.00
## performance5[34,5] 1.00
## performance5[35,1] 1.00
## performance5[35,2] 1.00
## performance5[35,3] 1.00
## performance5[35,4] 1.00
## performance5[35,5] 1.00
## performance5[36,1] 1.00
## performance5[36,2] 1.00
## performance5[36,3] 1.00
## performance5[36,4] 1.00
## performance5[36,5] 1.00
## performance5[37,1] 1.00
## performance5[37,2] 1.00
## performance5[37,3] 1.00
## performance5[37,4] 1.00
## performance5[37,5] 1.00
## performance5[38,1] 1.00
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## performance5[38,3] 1.00
## performance5[38,4] 1.00
## performance5[38,5] 1.00
## performance5[39,1] 1.00
## performance5[39,2] 1.00
## performance5[39,3] 1.00
## performance5[39,4] 1.00
## performance5[39,5] 1.00
## performance5[40,1] 1.00
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## performance5[40,3] 1.00
## performance5[40,4] 1.00
## performance5[40,5] 1.00
## performance5[41,1] 1.00
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## performance5[41,3] 1.00
## performance5[41,4] 1.00
## performance5[41,5] 1.00
## performance5[42,1] 1.00
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## performance5[42,3] 1.00
## performance5[42,4] 1.00
## performance5[42,5] 1.00
## performance5[43,1] 1.00
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## performance5[43,3] 1.00
## performance5[43,4] 1.00
## performance5[43,5] 1.00
## performance5[44,1] 1.00
## performance5[44,2] 1.00
## performance5[44,3] 1.00
## performance5[44,4] 1.00
## performance5[44,5] 1.00
## performance5[45,1] 1.00
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## performance5[45,3] 1.00
## performance5[45,4] 1.00
## performance5[45,5] 1.00
## performance5[46,1] 1.00
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## performance5[46,3] 1.00
## performance5[46,4] 1.00
## performance5[46,5] 1.00
## performance5[47,1] 1.00
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## performance5[47,3] 1.00
## performance5[47,4] 1.00
## performance5[47,5] 1.00
## performance5[48,1] 1.00
## performance5[48,2] 1.00
## performance5[48,3] 1.00
## performance5[48,4] 1.00
## performance5[48,5] 1.00
## performance5[49,1] 1.00
## performance5[49,2] 1.00
## performance5[49,3] 1.00
## performance5[49,4] 1.00
## performance5[49,5] 1.00
## performance5[50,1] 1.00
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## performance5[50,3] 1.00
## performance5[50,4] 1.00
## performance5[50,5] 1.00
## performance5[51,1] 1.00
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## performance5[51,3] 1.00
## performance5[51,4] 1.00
## performance5[51,5] 1.00
## performance5[52,1] 1.00
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## performance5[52,3] 1.00
## performance5[52,4] 1.00
## performance5[52,5] 1.00
## performance5[53,1] 1.00
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## performance5[53,3] 1.00
## performance5[53,4] 1.00
## performance5[53,5] 1.00
## performance5[54,1] 1.00
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## performance5[54,3] 1.00
## performance5[54,4] 1.00
## performance5[54,5] 1.00
## performance5[55,1] 1.00
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## performance5[55,3] 1.00
## performance5[55,4] 1.00
## performance5[55,5] 1.00
## performance5[56,1] 1.00
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## performance5[56,3] 1.00
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## performance5[56,5] 1.00
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## performance5[57,3] 1.00
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## performance5[57,5] 1.00
## performance5[58,1] 1.00
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## performance5[58,3] 1.00
## performance5[58,4] 1.00
## performance5[58,5] 1.00
## performance5[59,1] 1.00
## performance5[59,2] 1.00
## performance5[59,3] 1.00
## performance5[59,4] 1.00
## performance5[59,5] 1.00
## performance5[60,1] 1.00
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## performance5[60,3] 1.00
## performance5[60,4] 1.00
## performance5[60,5] 1.00
## performance5[61,1] 1.00
## performance5[61,2] 1.00
## performance5[61,3] 1.00
## performance5[61,4] 1.00
## performance5[61,5] 1.00
## performance5[62,1] 1.00
## performance5[62,2] 1.00
## performance5[62,3] 1.00
## performance5[62,4] 1.00
## performance5[62,5] 1.00
## performance5[63,1] 1.00
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## performance5[63,3] 1.00
## performance5[63,4] 1.00
## performance5[63,5] 1.00
## performance5[64,1] 1.00
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## performance5[64,3] 1.00
## performance5[64,4] 1.00
## performance5[64,5] 1.00
## performance5[65,1] 1.00
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## performance5[65,3] 1.00
## performance5[65,4] 1.00
## performance5[65,5] 1.00
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## performance5[66,3] 1.00
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## performance5[66,5] 1.00
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## performance5[67,3] 1.00
## performance5[67,4] 1.00
## performance5[67,5] 1.00
## performance5[68,1] 1.00
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## performance5[68,3] 1.00
## performance5[68,4] 1.00
## performance5[68,5] 1.00
## performance5[69,1] 1.00
## performance5[69,2] 1.00
## performance5[69,3] 1.00
## performance5[69,4] 1.00
## performance5[69,5] 1.00
## performance5[70,1] 1.00
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## performance5[70,3] 1.00
## performance5[70,4] 1.00
## performance5[70,5] 1.00
## performance5[71,1] 1.00
## performance5[71,2] 1.00
## performance5[71,3] 1.00
## performance5[71,4] 1.00
## performance5[71,5] 1.00
## performance5[72,1] 1.00
## performance5[72,2] 1.00
## performance5[72,3] 1.00
## performance5[72,4] 1.00
## performance5[72,5] 1.00
## performance5[73,1] 1.00
## performance5[73,2] 1.00
## performance5[73,3] 1.00
## performance5[73,4] 1.00
## performance5[73,5] 1.00
## performance5[74,1] 1.00
## performance5[74,2] 1.00
## performance5[74,3] 1.00
## performance5[74,4] 1.00
## performance5[74,5] 1.00
## performance5[75,1] 1.00
## performance5[75,2] 1.00
## performance5[75,3] 1.00
## performance5[75,4] 1.00
## performance5[75,5] 1.00
## performance5[76,1] 1.00
## performance5[76,2] 1.00
## performance5[76,3] 1.00
## performance5[76,4] 1.00
## performance5[76,5] 1.00
## performance5[77,1] 1.00
## performance5[77,2] 1.00
## performance5[77,3] 1.00
## performance5[77,4] 1.00
## performance5[77,5] 1.00
## performance5[78,1] 1.00
## performance5[78,2] 1.00
## performance5[78,3] 1.00
## performance5[78,4] 1.00
## performance5[78,5] 1.00
## performance5[79,1] 1.00
## performance5[79,2] 1.00
## performance5[79,3] 1.00
## performance5[79,4] 1.00
## performance5[79,5] 1.00
## performance5[80,1] 1.00
## performance5[80,2] 1.00
## performance5[80,3] 1.00
## performance5[80,4] 1.00
## performance5[80,5] 1.00
## performance5[81,1] 1.00
## performance5[81,2] 1.00
## performance5[81,3] 1.00
## performance5[81,4] 1.00
## performance5[81,5] 1.00
## performance5[82,1] 1.00
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## performance5[82,3] 1.00
## performance5[82,4] 1.00
## performance5[82,5] 1.00
## performance5[83,1] 1.00
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## performance5[83,3] 1.00
## performance5[83,4] 1.00
## performance5[83,5] 1.00
## performance5[84,1] 1.00
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## performance5[84,3] 1.00
## performance5[84,4] 1.00
## performance5[84,5] 1.00
## performance5[85,1] 1.00
## performance5[85,2] 1.00
## performance5[85,3] 1.00
## performance5[85,4] 1.00
## performance5[85,5] 1.00
## performance5[86,1] 1.00
## performance5[86,2] 1.00
## performance5[86,3] 1.00
## performance5[86,4] 1.00
## performance5[86,5] 1.00
## performance5[87,1] 1.00
## performance5[87,2] 1.00
## performance5[87,3] 1.00
## performance5[87,4] 1.00
## performance5[87,5] 1.00
## performance5[88,1] 1.00
## performance5[88,2] 1.00
## performance5[88,3] 1.00
## performance5[88,4] 1.00
## performance5[88,5] 1.00
## performance5[89,1] 1.00
## performance5[89,2] 1.00
## performance5[89,3] 1.00
## performance5[89,4] 1.00
## performance5[89,5] 1.00
## performance5[90,1] 1.00
## performance5[90,2] 1.00
## performance5[90,3] 1.00
## performance5[90,4] 1.00
## performance5[90,5] 1.00
## performance5[91,1] 1.00
## performance5[91,2] 1.00
## performance5[91,3] 1.00
## performance5[91,4] 1.00
## performance5[91,5] 1.00
## performance5[92,1] 1.00
## performance5[92,2] 1.00
## performance5[92,3] 1.00
## performance5[92,4] 1.00
## performance5[92,5] 1.00
## performance5[93,1] 1.00
## performance5[93,2] 1.00
## performance5[93,3] 1.00
## performance5[93,4] 1.00
## performance5[93,5] 1.00
## performance5[94,1] 1.00
## performance5[94,2] 1.00
## performance5[94,3] 1.00
## performance5[94,4] 1.00
## performance5[94,5] 1.00
## performance5[95,1] 1.00
## performance5[95,2] 1.00
## performance5[95,3] 1.00
## performance5[95,4] 1.00
## performance5[95,5] 1.00
## performance5[96,1] 1.00
## performance5[96,2] 1.00
## performance5[96,3] 1.00
## performance5[96,4] 1.00
## performance5[96,5] 1.00
## performance5[97,1] 1.00
## performance5[97,2] 1.00
## performance5[97,3] 1.00
## performance5[97,4] 1.00
## performance5[97,5] 1.00
## performance5[98,1] 1.00
## performance5[98,2] 1.00
## performance5[98,3] 1.00
## performance5[98,4] 1.00
## performance5[98,5] 1.00
## performance5[99,1] 1.00
## performance5[99,2] 1.00
## performance5[99,3] 1.00
## performance5[99,4] 1.00
## performance5[99,5] 1.00
## performance5[100,1] 1.00
## performance5[100,2] 1.00
## performance5[100,3] 1.00
## performance5[100,4] 1.00
## performance5[100,5] 1.00
## performance5[101,1] 1.00
## performance5[101,2] 1.00
## performance5[101,3] 1.00
## performance5[101,4] 1.00
## performance5[101,5] 1.00
## performance5[102,1] 1.00
## performance5[102,2] 1.00
## performance5[102,3] 1.00
## performance5[102,4] 1.00
## performance5[102,5] 1.00
## performance5[103,1] 1.00
## performance5[103,2] 1.00
## performance5[103,3] 1.00
## performance5[103,4] 1.00
## performance5[103,5] 1.00
## performance5[104,1] 1.00
## performance5[104,2] 1.00
## performance5[104,3] 1.00
## performance5[104,4] 1.00
## performance5[104,5] 1.00
## performance5[105,1] 1.00
## performance5[105,2] 1.00
## performance5[105,3] 1.00
## performance5[105,4] 1.00
## performance5[105,5] 1.00
## performance5[106,1] 1.00
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## performance5[106,3] 1.00
## performance5[106,4] 1.00
## performance5[106,5] 1.00
## performance5[107,1] 1.00
## performance5[107,2] 1.00
## performance5[107,3] 1.00
## performance5[107,4] 1.00
## performance5[107,5] 1.00
## performance5[108,1] 1.00
## performance5[108,2] 1.00
## performance5[108,3] 1.00
## performance5[108,4] 1.00
## performance5[108,5] 1.00
## performance5[109,1] 1.00
## performance5[109,2] 1.00
## performance5[109,3] 1.00
## performance5[109,4] 1.00
## performance5[109,5] 1.00
## performance5[110,1] 1.00
## performance5[110,2] 1.00
## performance5[110,3] 1.00
## performance5[110,4] 1.00
## performance5[110,5] 1.00
## performance5[111,1] 1.00
## performance5[111,2] 1.00
## performance5[111,3] 1.00
## performance5[111,4] 1.00
## performance5[111,5] 1.00
## performance5[112,1] 1.00
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## performance5[112,3] 1.00
## performance5[112,4] 1.00
## performance5[112,5] 1.00
## performance5[113,1] 1.00
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## performance5[113,3] 1.00
## performance5[113,4] 1.00
## performance5[113,5] 1.00
## performance5[114,1] 1.00
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## performance5[114,3] 1.00
## performance5[114,4] 1.00
## performance5[114,5] 1.00
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## performance5[115,3] 1.00
## performance5[115,4] 1.00
## performance5[115,5] 1.00
## performance5[116,1] 1.00
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## performance5[116,3] 1.00
## performance5[116,4] 1.00
## performance5[116,5] 1.00
## performance5[117,1] 1.00
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## performance5[117,3] 1.00
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## performance5[117,5] 1.00
## performance5[118,1] 1.00
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## performance5[118,3] 1.00
## performance5[118,4] 1.00
## performance5[118,5] 1.00
## performance5[119,1] 1.00
## performance5[119,2] 1.00
## performance5[119,3] 1.00
## performance5[119,4] 1.00
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## performance5[120,1] 1.00
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## performance5[120,3] 1.00
## performance5[120,4] 1.00
## performance5[120,5] 1.00
## performance5[121,1] 1.00
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## performance5[121,3] 1.00
## performance5[121,4] 1.00
## performance5[121,5] 1.00
## performance5[122,1] 1.00
## performance5[122,2] 1.00
## performance5[122,3] 1.00
## performance5[122,4] 1.00
## performance5[122,5] 1.00
## performance5[123,1] 1.00
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## performance5[123,3] 1.00
## performance5[123,4] 1.00
## performance5[123,5] 1.00
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## performance5[124,3] 1.00
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## performance5[125,1] 1.00
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## performance5[125,3] 1.00
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## performance5[125,5] 1.00
## performance5[126,1] 1.00
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## performance5[126,3] 1.00
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## performance5[126,5] 1.00
## performance5[127,1] 1.00
## performance5[127,2] 1.00
## performance5[127,3] 1.00
## performance5[127,4] 1.00
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## performance5[128,1] 1.00
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## performance5[128,3] 1.00
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## performance5[128,5] 1.00
## performance5[129,1] 1.00
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## performance5[129,3] 1.00
## performance5[129,4] 1.00
## performance5[129,5] 1.00
## performance5[130,1] 1.00
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## performance5[130,3] 1.00
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## performance5[130,5] 1.00
## performance5[131,1] 1.00
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## performance5[131,3] 1.00
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## performance5[131,5] 1.00
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## performance5[132,3] 1.00
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## performance5[132,5] 1.00
## performance5[133,1] 1.00
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## performance5[133,3] 1.00
## performance5[133,4] 1.00
## performance5[133,5] 1.00
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## performance5[134,3] 1.00
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## performance5[135,3] 1.00
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## performance5[136,3] 1.00
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## performance5[136,5] 1.00
## performance5[137,1] 1.00
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## performance5[137,3] 1.00
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## performance5[137,5] 1.00
## performance5[138,1] 1.00
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## performance5[138,3] 1.00
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## performance5[139,3] 1.00
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## performance5[140,3] 1.00
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## performance5[141,3] 1.00
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## performance5[142,3] 1.00
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## performance5[143,3] 1.00
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## performance5[144,2] 1.00
## performance5[144,3] 1.00
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## performance5[144,5] 1.00
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## performance5[145,3] 1.00
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## performance5[145,5] 1.00
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## performance5[146,3] 1.00
## performance5[146,4] 1.00
## performance5[146,5] 1.00
## performance5[147,1] 1.00
## performance5[147,2] 1.00
## performance5[147,3] 1.00
## performance5[147,4] 1.00
## performance5[147,5] 1.00
## performance5[148,1] 1.00
## performance5[148,2] 1.00
## performance5[148,3] 1.00
## performance5[148,4] 1.00
## performance5[148,5] 1.00
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## performance5[149,2] 1.00
## performance5[149,3] 1.00
## performance5[149,4] 1.00
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## performance5[150,1] 1.00
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## performance5[150,3] 1.00
## performance5[150,4] 1.00
## performance5[150,5] 1.00
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## performance5[151,3] 1.00
## performance5[151,4] 1.00
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## performance5[152,1] 1.00
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## performance5[152,3] 1.00
## performance5[152,4] 1.00
## performance5[152,5] 1.00
## performance5[153,1] 1.00
## performance5[153,2] 1.00
## performance5[153,3] 1.00
## performance5[153,4] 1.00
## performance5[153,5] 1.00
## performance5[154,1] 1.00
## performance5[154,2] 1.00
## performance5[154,3] 1.00
## performance5[154,4] 1.00
## performance5[154,5] 1.00
## performance5[155,1] 1.00
## performance5[155,2] 1.00
## performance5[155,3] 1.00
## performance5[155,4] 1.00
## performance5[155,5] 1.00
## performance5[156,1] 1.00
## performance5[156,2] 1.00
## performance5[156,3] 1.00
## performance5[156,4] 1.00
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## performance5[157,1] 1.00
## performance5[157,2] 1.00
## performance5[157,3] 1.00
## performance5[157,4] 1.00
## performance5[157,5] 1.00
## performance5[158,1] 1.00
## performance5[158,2] 1.00
## performance5[158,3] 1.00
## performance5[158,4] 1.00
## performance5[158,5] 1.00
## performance5[159,1] 1.00
## performance5[159,2] 1.00
## performance5[159,3] 1.00
## performance5[159,4] 1.00
## performance5[159,5] 1.00
## performance5[160,1] 1.00
## performance5[160,2] 1.00
## performance5[160,3] 1.00
## performance5[160,4] 1.00
## performance5[160,5] 1.00
## performance5[161,1] 1.00
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## performance5[161,3] 1.00
## performance5[161,4] 1.00
## performance5[161,5] 1.00
## performance5[162,1] 1.00
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## performance5[162,3] 1.00
## performance5[162,4] 1.00
## performance5[162,5] 1.00
## performance5[163,1] 1.00
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## performance5[163,3] 1.00
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## performance5[163,5] 1.00
## performance5[164,1] 1.00
## performance5[164,2] 1.00
## performance5[164,3] 1.00
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## performance5[164,5] 1.00
## performance5[165,1] 1.00
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## performance5[165,3] 1.00
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## performance5[166,1] 1.00
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## performance5[166,3] 1.00
## performance5[166,4] 1.00
## performance5[166,5] 1.00
## performance5[167,1] 1.00
## performance5[167,2] 1.00
## performance5[167,3] 1.00
## performance5[167,4] 1.00
## performance5[167,5] 1.00
## performance5[168,1] 1.00
## performance5[168,2] 1.00
## performance5[168,3] 1.00
## performance5[168,4] 1.00
## performance5[168,5] 1.00
## performance5[169,1] 1.00
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## performance5[169,3] 1.00
## performance5[169,4] 1.00
## performance5[169,5] 1.00
## performance5[170,1] 1.00
## performance5[170,2] 1.00
## performance5[170,3] 1.00
## performance5[170,4] 1.00
## performance5[170,5] 1.00
## performance5[171,1] 1.00
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## performance5[171,3] 1.00
## performance5[171,4] 1.00
## performance5[171,5] 1.00
## performance5[172,1] 1.00
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## performance5[172,3] 1.00
## performance5[172,4] 1.00
## performance5[172,5] 1.00
## performance5[173,1] 1.00
## performance5[173,2] 1.00
## performance5[173,3] 1.00
## performance5[173,4] 1.00
## performance5[173,5] 1.00
## performance5[174,1] 1.00
## performance5[174,2] 1.00
## performance5[174,3] 1.00
## performance5[174,4] 1.00
## performance5[174,5] 1.00
## performance5[175,1] 1.00
## performance5[175,2] 1.00
## performance5[175,3] 1.00
## performance5[175,4] 1.00
## performance5[175,5] 1.00
## performance5[176,1] 1.00
## performance5[176,2] 1.00
## performance5[176,3] 1.00
## performance5[176,4] 1.00
## performance5[176,5] 1.00
## performance5[177,1] 1.00
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## performance5[177,3] 1.00
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## performance5[177,5] 1.00
## performance5[178,1] 1.00
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## performance5[178,3] 1.00
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## performance5[178,5] 1.00
## performance5[179,1] 1.00
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## performance5[179,3] 1.00
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## performance5[180,1] 1.00
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## performance5[180,3] 1.00
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## performance5[181,5] 1.00
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## performance5[184,3] 1.00
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## performance5[184,5] 1.00
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## performance5[185,3] 1.00
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## performance5[186,1] 1.00
## performance5[186,2] 1.00
## performance5[186,3] 1.00
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## performance5[186,5] 1.00
## performance5[187,1] 1.00
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## performance5[187,3] 1.00
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## performance5[187,5] 1.00
## performance5[188,1] 1.00
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## performance5[188,3] 1.00
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## performance5[188,5] 1.00
## performance5[189,1] 1.00
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## performance5[189,3] 1.00
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## performance5[190,1] 1.00
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## performance5[190,3] 1.00
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## performance5[190,5] 1.00
## performance5[191,1] 1.00
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## performance5[191,3] 1.00
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## performance5[191,5] 1.00
## performance5[192,1] 1.00
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## performance5[192,3] 1.00
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## performance5[193,3] 1.00
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## performance5[194,1] 1.00
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## performance5[194,3] 1.00
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## performance5[194,5] 1.00
## performance5[195,1] 1.00
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## performance5[195,3] 1.00
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## performance5[196,1] 1.00
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## performance5[196,3] 1.00
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## performance5[196,5] 1.00
## performance5[197,1] 1.00
## performance5[197,2] 1.00
## performance5[197,3] 1.00
## performance5[197,4] 1.00
## performance5[197,5] 1.00
## performance5[198,1] 1.00
## performance5[198,2] 1.00
## performance5[198,3] 1.00
## performance5[198,4] 1.00
## performance5[198,5] 1.00
## performance5[199,1] 1.00
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## performance5[199,3] 1.00
## performance5[199,4] 1.00
## performance5[199,5] 1.00
## performance5[200,1] 1.00
## performance5[200,2] 1.00
## performance5[200,3] 1.00
## performance5[200,4] 1.00
## performance5[200,5] 1.00
## performance5[201,1] 1.00
## performance5[201,2] 1.00
## performance5[201,3] 1.00
## performance5[201,4] 1.00
## performance5[201,5] 1.00
## performance5[202,1] 1.00
## performance5[202,2] 1.00
## performance5[202,3] 1.00
## performance5[202,4] 1.00
## performance5[202,5] 1.00
## performance5[203,1] 1.00
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## performance5[203,3] 1.00
## performance5[203,4] 1.00
## performance5[203,5] 1.00
## performance5[204,1] 1.00
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## performance5[204,3] 1.00
## performance5[204,4] 1.00
## performance5[204,5] 1.00
## performance5[205,1] 1.00
## performance5[205,2] 1.00
## performance5[205,3] 1.00
## performance5[205,4] 1.00
## performance5[205,5] 1.00
## performance5[206,1] 1.00
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## performance5[206,3] 1.00
## performance5[206,4] 1.00
## performance5[206,5] 1.00
## performance5[207,1] 1.00
## performance5[207,2] 1.00
## performance5[207,3] 1.00
## performance5[207,4] 1.00
## performance5[207,5] 1.00
## performance5[208,1] 1.00
## performance5[208,2] 1.00
## performance5[208,3] 1.00
## performance5[208,4] 1.00
## performance5[208,5] 1.00
## performance5[209,1] 1.00
## performance5[209,2] 1.00
## performance5[209,3] 1.00
## performance5[209,4] 1.00
## performance5[209,5] 1.00
## performance5[210,1] 1.00
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## performance5[210,3] 1.00
## performance5[210,4] 1.00
## performance5[210,5] 1.00
## performance5[211,1] 1.00
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## performance5[211,3] 1.00
## performance5[211,4] 1.00
## performance5[211,5] 1.00
## performance5[212,1] 1.00
## performance5[212,2] 1.00
## performance5[212,3] 1.00
## performance5[212,4] 1.00
## performance5[212,5] 1.00
## performance5[213,1] 1.00
## performance5[213,2] 1.00
## performance5[213,3] 1.00
## performance5[213,4] 1.00
## performance5[213,5] 1.00
## performance5[214,1] 1.00
## performance5[214,2] 1.00
## performance5[214,3] 1.00
## performance5[214,4] 1.00
## performance5[214,5] 1.00
## performance5[215,1] 1.00
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## performance5[215,3] 1.00
## performance5[215,4] 1.00
## performance5[215,5] 1.00
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## performance5[216,3] 1.00
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## performance5[216,5] 1.00
## performance5[217,1] 1.00
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## performance5[217,3] 1.00
## performance5[217,4] 1.00
## performance5[217,5] 1.00
## performance5[218,1] 1.00
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## performance5[218,3] 1.00
## performance5[218,4] 1.00
## performance5[218,5] 1.00
## performance5[219,1] 1.00
## performance5[219,2] 1.00
## performance5[219,3] 1.00
## performance5[219,4] 1.00
## performance5[219,5] 1.00
## performance5[220,1] 1.00
## performance5[220,2] 1.00
## performance5[220,3] 1.00
## performance5[220,4] 1.00
## performance5[220,5] 1.00
## performance5[221,1] 1.00
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## performance5[221,3] 1.00
## performance5[221,4] 1.00
## performance5[221,5] 1.00
## performance5[222,1] 1.00
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## performance5[222,3] 1.00
## performance5[222,4] 1.00
## performance5[222,5] 1.00
## performance5[223,1] 1.00
## performance5[223,2] 1.00
## performance5[223,3] 1.00
## performance5[223,4] 1.00
## performance5[223,5] 1.00
## performance5[224,1] 1.00
## performance5[224,2] 1.00
## performance5[224,3] 1.00
## performance5[224,4] 1.00
## performance5[224,5] 1.00
## performance5[225,1] 1.00
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## performance5[225,3] 1.00
## performance5[225,4] 1.00
## performance5[225,5] 1.00
## performance5[226,1] 1.00
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## performance5[226,3] 1.00
## performance5[226,4] 1.00
## performance5[226,5] 1.00
## performance5[227,1] 1.00
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## performance5[227,3] 1.00
## performance5[227,4] 1.00
## performance5[227,5] 1.00
## performance5[228,1] 1.00
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## performance5[228,3] 1.00
## performance5[228,4] 1.00
## performance5[228,5] 1.00
## performance5[229,1] 1.00
## performance5[229,2] 1.00
## performance5[229,3] 1.00
## performance5[229,4] 1.00
## performance5[229,5] 1.00
## performance5[230,1] 1.00
## performance5[230,2] 1.00
## performance5[230,3] 1.00
## performance5[230,4] 1.00
## performance5[230,5] 1.00
## performance5[231,1] 1.00
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## performance5[231,3] 1.00
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## performance5[231,5] 1.00
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## performance5[232,3] 1.00
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## performance5[232,5] 1.00
## performance5[233,1] 1.00
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## performance5[233,3] 1.00
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## performance5[233,5] 1.00
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## performance5[234,3] 1.00
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## performance5[234,5] 1.00
## performance5[235,1] 1.00
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## performance5[235,3] 1.00
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## performance5[235,5] 1.00
## performance5[236,1] 1.00
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## performance5[236,3] 1.00
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## performance5[236,5] 1.00
## performance5[237,1] 1.00
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## performance5[237,3] 1.00
## performance5[237,4] 1.00
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## performance5[238,1] 1.00
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## performance5[238,3] 1.00
## performance5[238,4] 1.00
## performance5[238,5] 1.00
## performance5[239,1] 1.00
## performance5[239,2] 1.00
## performance5[239,3] 1.00
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## performance5[240,1] 1.00
## performance5[240,2] 1.00
## performance5[240,3] 1.00
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## performance5[241,3] 1.00
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## performance5[241,5] 1.00
## performance5[242,1] 1.00
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## performance5[242,3] 1.00
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## performance5[242,5] 1.00
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## performance5[243,3] 1.00
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## performance5[243,5] 1.00
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## performance5[244,2] 1.00
## performance5[244,3] 1.00
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## performance5[245,3] 1.00
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## performance5[245,5] 1.00
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## performance5[246,3] 1.00
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## performance5[246,5] 1.00
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## performance5[247,3] 1.00
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## performance5[248,1] 1.00
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## performance5[248,3] 1.00
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## performance5[248,5] 1.00
## performance5[249,1] 1.00
## performance5[249,2] 1.00
## performance5[249,3] 1.00
## performance5[249,4] 1.00
## performance5[249,5] 1.00
## performance5[250,1] 1.00
## performance5[250,2] 1.00
## performance5[250,3] 1.00
## performance5[250,4] 1.00
## performance5[250,5] 1.00
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## performance5[251,3] 1.00
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## performance5[251,5] 1.00
## performance5[252,1] 1.00
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## performance5[253,3] 1.00
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## performance5[254,1] 1.00
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## performance5[254,3] 1.00
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## performance5[255,1] 1.00
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## performance5[255,3] 1.00
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## performance5[255,5] 1.00
## performance5[256,1] 1.00
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## performance5[256,3] 1.00
## performance5[256,4] 1.00
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## performance5[257,3] 1.00
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## performance5[258,3] 1.00
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## performance5[258,5] 1.00
## performance5[259,1] 1.00
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## performance5[259,3] 1.00
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## performance5[260,1] 1.00
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## performance5[260,3] 1.00
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## performance5[260,5] 1.00
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## performance5[261,3] 1.00
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## performance5[262,3] 1.00
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## performance5[263,3] 1.00
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## performance5[264,3] 1.00
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## performance5[265,3] 1.00
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## performance5[265,5] 1.00
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## performance5[266,3] 1.00
## performance5[266,4] 1.00
## performance5[266,5] 1.00
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## performance5[267,3] 1.00
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## performance5[267,5] 1.00
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## performance5[268,3] 1.00
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## performance5[268,5] 1.00
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## performance5[269,3] 1.00
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## performance5[272,3] 1.00
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## performance5[272,5] 1.00
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## performance5[273,2] 1.00
## performance5[273,3] 1.00
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## performance5[274,3] 1.00
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## performance5[274,5] 1.00
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## performance5[275,3] 1.00
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## performance5[275,5] 1.00
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## performance5[276,3] 1.00
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## performance5[276,5] 1.00
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## performance5[277,3] 1.00
## performance5[277,4] 1.00
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## performance5[278,3] 1.00
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## performance5[278,5] 1.00
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## performance5[279,2] 1.00
## performance5[279,3] 1.00
## performance5[279,4] 1.00
## performance5[279,5] 1.00
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## performance5[280,3] 1.00
## performance5[280,4] 1.00
## performance5[280,5] 1.00
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## performance5[281,2] 1.00
## performance5[281,3] 1.00
## performance5[281,4] 1.00
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## performance5[408,1] 1.00
## performance5[408,2] 1.00
## performance5[408,3] 1.00
## performance5[408,4] 1.00
## performance5[408,5] 1.00
## performance5[409,1] 1.00
## performance5[409,2] 1.00
## performance5[409,3] 1.00
## performance5[409,4] 1.00
## performance5[409,5] 1.00
## performance5[410,1] 1.00
## performance5[410,2] 1.00
## performance5[410,3] 1.00
## performance5[410,4] 1.00
## performance5[410,5] 1.00
## performance5[411,1] 1.00
## performance5[411,2] 1.00
## performance5[411,3] 1.00
## performance5[411,4] 1.00
## performance5[411,5] 1.00
## performance5[412,1] 1.00
## performance5[412,2] 1.00
## performance5[412,3] 1.00
## performance5[412,4] 1.00
## performance5[412,5] 1.00
## performance5[413,1] 1.00
## performance5[413,2] 1.00
## performance5[413,3] 1.00
## performance5[413,4] 1.00
## performance5[413,5] 1.00
## performance5[414,1] 1.00
## performance5[414,2] 1.00
## performance5[414,3] 1.00
## performance5[414,4] 1.00
## performance5[414,5] 1.00
## performance5[415,1] 1.00
## performance5[415,2] 1.00
## performance5[415,3] 1.00
## performance5[415,4] 1.00
## performance5[415,5] 1.00
## performance5[416,1] 1.00
## performance5[416,2] 1.00
## performance5[416,3] 1.00
## performance5[416,4] 1.00
## performance5[416,5] 1.00
## performance5[417,1] 1.00
## performance5[417,2] 1.00
## performance5[417,3] 1.00
## performance5[417,4] 1.00
## performance5[417,5] 1.00
## performance5[418,1] 1.00
## performance5[418,2] 1.00
## performance5[418,3] 1.00
## performance5[418,4] 1.00
## performance5[418,5] 1.00
## performance5[419,1] 1.00
## performance5[419,2] 1.00
## performance5[419,3] 1.00
## performance5[419,4] 1.00
## performance5[419,5] 1.00
## performance5[420,1] 1.00
## performance5[420,2] 1.00
## performance5[420,3] 1.00
## performance5[420,4] 1.00
## performance5[420,5] 1.00
## performance5[421,1] 1.00
## performance5[421,2] 1.00
## performance5[421,3] 1.00
## performance5[421,4] 1.00
## performance5[421,5] 1.00
## performance5[422,1] 1.00
## performance5[422,2] 1.00
## performance5[422,3] 1.00
## performance5[422,4] 1.00
## performance5[422,5] 1.00
## performance5[423,1] 1.00
## performance5[423,2] 1.00
## performance5[423,3] 1.00
## performance5[423,4] 1.00
## performance5[423,5] 1.00
## performance5[424,1] 1.00
## performance5[424,2] 1.00
## performance5[424,3] 1.00
## performance5[424,4] 1.00
## performance5[424,5] 1.00
## performance5[425,1] 1.00
## performance5[425,2] 1.00
## performance5[425,3] 1.00
## performance5[425,4] 1.00
## performance5[425,5] 1.00
## performance5[426,1] 1.00
## performance5[426,2] 1.00
## performance5[426,3] 1.00
## performance5[426,4] 1.00
## performance5[426,5] 1.00
## performance5[427,1] 1.00
## performance5[427,2] 1.00
## performance5[427,3] 1.00
## performance5[427,4] 1.00
## performance5[427,5] 1.00
## performance5[428,1] 1.00
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## performance5[428,3] 1.00
## performance5[428,4] 1.00
## performance5[428,5] 1.00
## performance5[429,1] 1.00
## performance5[429,2] 1.00
## performance5[429,3] 1.00
## performance5[429,4] 1.00
## performance5[429,5] 1.00
## performance5[430,1] 1.00
## performance5[430,2] 1.00
## performance5[430,3] 1.00
## performance5[430,4] 1.00
## performance5[430,5] 1.00
## performance5[431,1] 1.00
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## performance5[431,3] 1.00
## performance5[431,4] 1.00
## performance5[431,5] 1.00
## performance5[432,1] 1.00
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## performance5[432,3] 1.00
## performance5[432,4] 1.00
## performance5[432,5] 1.00
## performance5[433,1] 1.00
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## performance5[433,3] 1.00
## performance5[433,4] 1.00
## performance5[433,5] 1.00
## performance5[434,1] 1.00
## performance5[434,2] 1.00
## performance5[434,3] 1.00
## performance5[434,4] 1.00
## performance5[434,5] 1.00
## performance5[435,1] 1.00
## performance5[435,2] 1.00
## performance5[435,3] 1.00
## performance5[435,4] 1.00
## performance5[435,5] 1.00
## performance5[436,1] 1.00
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## performance5[436,3] 1.00
## performance5[436,4] 1.00
## performance5[436,5] 1.00
## performance5[437,1] 1.00
## performance5[437,2] 1.00
## performance5[437,3] 1.00
## performance5[437,4] 1.00
## performance5[437,5] 1.00
## performance5[438,1] 1.00
## performance5[438,2] 1.00
## performance5[438,3] 1.00
## performance5[438,4] 1.00
## performance5[438,5] 1.00
## performance5[439,1] 1.00
## performance5[439,2] 1.00
## performance5[439,3] 1.00
## performance5[439,4] 1.00
## performance5[439,5] 1.00
## performance5[440,1] 1.00
## performance5[440,2] 1.00
## performance5[440,3] 1.00
## performance5[440,4] 1.00
## performance5[440,5] 1.00
## performance5[441,1] 1.00
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## performance5[441,3] 1.00
## performance5[441,4] 1.00
## performance5[441,5] 1.00
## performance5[442,1] 1.00
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## performance5[442,3] 1.00
## performance5[442,4] 1.00
## performance5[442,5] 1.00
## performance5[443,1] 1.00
## performance5[443,2] 1.00
## performance5[443,3] 1.00
## performance5[443,4] 1.00
## performance5[443,5] 1.00
## performance5[444,1] 1.00
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## performance5[444,3] 1.00
## performance5[444,4] 1.00
## performance5[444,5] 1.00
## performance5[445,1] 1.00
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## performance5[445,3] 1.00
## performance5[445,4] 1.00
## performance5[445,5] 1.00
## performance5[446,1] 1.00
## performance5[446,2] 1.00
## performance5[446,3] 1.00
## performance5[446,4] 1.00
## performance5[446,5] 1.00
## performance5[447,1] 1.00
## performance5[447,2] 1.00
## performance5[447,3] 1.00
## performance5[447,4] 1.00
## performance5[447,5] 1.00
## performance5[448,1] 1.00
## performance5[448,2] 1.00
## performance5[448,3] 1.00
## performance5[448,4] 1.00
## performance5[448,5] 1.00
## performance5[449,1] 1.00
## performance5[449,2] 1.00
## performance5[449,3] 1.00
## performance5[449,4] 1.00
## performance5[449,5] 1.00
## performance5[450,1] 1.00
## performance5[450,2] 1.00
## performance5[450,3] 1.00
## performance5[450,4] 1.00
## performance5[450,5] 1.00
## performance5[451,1] 1.00
## performance5[451,2] 1.00
## performance5[451,3] 1.00
## performance5[451,4] 1.00
## performance5[451,5] 1.00
## performance5[452,1] 1.00
## performance5[452,2] 1.00
## performance5[452,3] 1.00
## performance5[452,4] 1.00
## performance5[452,5] 1.00
## performance5[453,1] 1.00
## performance5[453,2] 1.00
## performance5[453,3] 1.00
## performance5[453,4] 1.00
## performance5[453,5] 1.00
## performance5[454,1] 1.00
## performance5[454,2] 1.00
## performance5[454,3] 1.00
## performance5[454,4] 1.00
## performance5[454,5] 1.00
## performance5[455,1] 1.00
## performance5[455,2] 1.00
## performance5[455,3] 1.00
## performance5[455,4] 1.00
## performance5[455,5] 1.00
## performance5[456,1] 1.00
## performance5[456,2] 1.00
## performance5[456,3] 1.00
## performance5[456,4] 1.00
## performance5[456,5] 1.00
## performance5[457,1] 1.00
## performance5[457,2] 1.00
## performance5[457,3] 1.00
## performance5[457,4] 1.00
## performance5[457,5] 1.00
## performance5[458,1] 1.00
## performance5[458,2] 1.00
## performance5[458,3] 1.00
## performance5[458,4] 1.00
## performance5[458,5] 1.00
## performance5[459,1] 1.00
## performance5[459,2] 1.00
## performance5[459,3] 1.00
## performance5[459,4] 1.00
## performance5[459,5] 1.00
## performance5[460,1] 1.00
## performance5[460,2] 1.00
## performance5[460,3] 1.00
## performance5[460,4] 1.00
## performance5[460,5] 1.00
## performance5[461,1] 1.00
## performance5[461,2] 1.00
## performance5[461,3] 1.00
## performance5[461,4] 1.00
## performance5[461,5] 1.00
## performance5[462,1] 1.00
## performance5[462,2] 1.00
## performance5[462,3] 1.00
## performance5[462,4] 1.00
## performance5[462,5] 1.00
## performance5[463,1] 1.00
## performance5[463,2] 1.00
## performance5[463,3] 1.00
## performance5[463,4] 1.00
## performance5[463,5] 1.00
## performance5[464,1] 1.00
## performance5[464,2] 1.00
## performance5[464,3] 1.00
## performance5[464,4] 1.00
## performance5[464,5] 1.00
## performance5[465,1] 1.00
## performance5[465,2] 1.00
## performance5[465,3] 1.00
## performance5[465,4] 1.00
## performance5[465,5] 1.00
## performance5[466,1] 1.00
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## performance5[466,3] 1.00
## performance5[466,4] 1.00
## performance5[466,5] 1.00
## performance5[467,1] 1.00
## performance5[467,2] 1.00
## performance5[467,3] 1.00
## performance5[467,4] 1.00
## performance5[467,5] 1.00
## performance5[468,1] 1.00
## performance5[468,2] 1.00
## performance5[468,3] 1.00
## performance5[468,4] 1.00
## performance5[468,5] 1.00
## performance5[469,1] 1.00
## performance5[469,2] 1.00
## performance5[469,3] 1.00
## performance5[469,4] 1.00
## performance5[469,5] 1.00
## performance5[470,1] 1.00
## performance5[470,2] 1.00
## performance5[470,3] 1.00
## performance5[470,4] 1.00
## performance5[470,5] 1.00
## performance5[471,1] 1.00
## performance5[471,2] 1.00
## performance5[471,3] 1.00
## performance5[471,4] 1.00
## performance5[471,5] 1.00
## performance5[472,1] 1.00
## performance5[472,2] 1.00
## performance5[472,3] 1.00
## performance5[472,4] 1.00
## performance5[472,5] 1.00
## performance5[473,1] 1.00
## performance5[473,2] 1.00
## performance5[473,3] 1.00
## performance5[473,4] 1.00
## performance5[473,5] 1.00
## performance5[474,1] 1.00
## performance5[474,2] 1.00
## performance5[474,3] 1.00
## performance5[474,4] 1.00
## performance5[474,5] 1.00
## performance5[475,1] 1.00
## performance5[475,2] 1.00
## performance5[475,3] 1.00
## performance5[475,4] 1.00
## performance5[475,5] 1.00
## performance5[476,1] 1.00
## performance5[476,2] 1.00
## performance5[476,3] 1.00
## performance5[476,4] 1.00
## performance5[476,5] 1.00
## performance5[477,1] 1.00
## performance5[477,2] 1.00
## performance5[477,3] 1.00
## performance5[477,4] 1.00
## performance5[477,5] 1.00
## performance5[478,1] 1.00
## performance5[478,2] 1.00
## performance5[478,3] 1.00
## performance5[478,4] 1.00
## performance5[478,5] 1.00
## performance5[479,1] 1.00
## performance5[479,2] 1.00
## performance5[479,3] 1.00
## performance5[479,4] 1.00
## performance5[479,5] 1.00
## performance5[480,1] 1.00
## performance5[480,2] 1.00
## performance5[480,3] 1.00
## performance5[480,4] 1.00
## performance5[480,5] 1.00
## performance5[481,1] 1.00
## performance5[481,2] 1.00
## performance5[481,3] 1.00
## performance5[481,4] 1.00
## performance5[481,5] 1.00
## performance5[482,1] 1.00
## performance5[482,2] 1.00
## performance5[482,3] 1.00
## performance5[482,4] 1.00
## performance5[482,5] 1.00
## performance5[483,1] 1.00
## performance5[483,2] 1.00
## performance5[483,3] 1.00
## performance5[483,4] 1.00
## performance5[483,5] 1.00
## performance5[484,1] 1.00
## performance5[484,2] 1.00
## performance5[484,3] 1.00
## performance5[484,4] 1.00
## performance5[484,5] 1.00
## performance5[485,1] 1.00
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## performance5[485,3] 1.00
## performance5[485,4] 1.00
## performance5[485,5] 1.00
## performance5[486,1] 1.00
## performance5[486,2] 1.00
## performance5[486,3] 1.00
## performance5[486,4] 1.00
## performance5[486,5] 1.00
## performance5[487,1] 1.00
## performance5[487,2] 1.00
## performance5[487,3] 1.00
## performance5[487,4] 1.00
## performance5[487,5] 1.00
## performance5[488,1] 1.00
## performance5[488,2] 1.00
## performance5[488,3] 1.00
## performance5[488,4] 1.00
## performance5[488,5] 1.00
## performance5[489,1] 1.00
## performance5[489,2] 1.00
## performance5[489,3] 1.00
## performance5[489,4] 1.00
## performance5[489,5] 1.00
## performance5[490,1] 1.00
## performance5[490,2] 1.00
## performance5[490,3] 1.00
## performance5[490,4] 1.00
## performance5[490,5] 1.00
## performance5[491,1] 1.00
## performance5[491,2] 1.00
## performance5[491,3] 1.00
## performance5[491,4] 1.00
## performance5[491,5] 1.00
## performance5[492,1] 1.00
## performance5[492,2] 1.00
## performance5[492,3] 1.00
## performance5[492,4] 1.00
## performance5[492,5] 1.00
## performance5[493,1] 1.00
## performance5[493,2] 1.00
## performance5[493,3] 1.00
## performance5[493,4] 1.00
## performance5[493,5] 1.00
## performance5[494,1] 1.00
## performance5[494,2] 1.00
## performance5[494,3] 1.00
## performance5[494,4] 1.00
## performance5[494,5] 1.00
## performance5[495,1] 1.00
## performance5[495,2] 1.00
## performance5[495,3] 1.00
## performance5[495,4] 1.00
## performance5[495,5] 1.00
## performance5[496,1] 1.00
## performance5[496,2] 1.00
## performance5[496,3] 1.00
## performance5[496,4] 1.00
## performance5[496,5] 1.00
## performance5[497,1] 1.00
## performance5[497,2] 1.00
## performance5[497,3] 1.00
## performance5[497,4] 1.00
## performance5[497,5] 1.00
## performance5[498,1] 1.00
## performance5[498,2] 1.00
## performance5[498,3] 1.00
## performance5[498,4] 1.00
## performance5[498,5] 1.00
## performance5[499,1] 1.00
## performance5[499,2] 1.00
## performance5[499,3] 1.00
## performance5[499,4] 1.00
## performance5[499,5] 1.00
## performance5[500,1] 1.00
## performance5[500,2] 1.00
## performance5[500,3] 1.00
## performance5[500,4] 1.00
## performance5[500,5] 1.00
## performance3[1,1] 1.00
## performance3[1,2] 1.00
## performance3[1,3] 1.00
## performance3[2,1] 1.00
## performance3[2,2] 1.00
## performance3[2,3] 1.00
## performance3[3,1] 1.00
## performance3[3,2] 1.00
## performance3[3,3] 1.00
## performance3[4,1] 1.00
## performance3[4,2] 1.00
## performance3[4,3] 1.00
## performance3[5,1] 1.00
## performance3[5,2] 1.00
## performance3[5,3] 1.00
## performance3[6,1] 1.00
## performance3[6,2] 1.00
## performance3[6,3] 1.00
## performance3[7,1] 1.00
## performance3[7,2] 1.00
## performance3[7,3] 1.00
## performance3[8,1] 1.00
## performance3[8,2] 1.00
## performance3[8,3] 1.00
## performance3[9,1] 1.00
## performance3[9,2] 1.00
## performance3[9,3] 1.00
## performance3[10,1] 1.00
## performance3[10,2] 1.00
## performance3[10,3] 1.00
## performance3[11,1] 1.00
## performance3[11,2] 1.00
## performance3[11,3] 1.00
## performance3[12,1] 1.00
## performance3[12,2] 1.00
## performance3[12,3] 1.00
## performance3[13,1] 1.00
## performance3[13,2] 1.00
## performance3[13,3] 1.00
## performance3[14,1] 1.00
## performance3[14,2] 1.00
## performance3[14,3] 1.00
## performance3[15,1] 1.00
## performance3[15,2] 1.00
## performance3[15,3] 1.00
## performance3[16,1] 1.00
## performance3[16,2] 1.00
## performance3[16,3] 1.00
## performance3[17,1] 1.00
## performance3[17,2] 1.00
## performance3[17,3] 1.00
## performance3[18,1] 1.00
## performance3[18,2] 1.00
## performance3[18,3] 1.00
## performance3[19,1] 1.00
## performance3[19,2] 1.00
## performance3[19,3] 1.00
## performance3[20,1] 1.00
## performance3[20,2] 1.00
## performance3[20,3] 1.00
## performance3[21,1] 1.00
## performance3[21,2] 1.00
## performance3[21,3] 1.00
## performance3[22,1] 1.00
## performance3[22,2] 1.00
## performance3[22,3] 1.00
## performance3[23,1] 1.00
## performance3[23,2] 1.00
## performance3[23,3] 1.00
## performance3[24,1] 1.00
## performance3[24,2] 1.00
## performance3[24,3] 1.00
## performance3[25,1] 1.00
## performance3[25,2] 1.00
## performance3[25,3] 1.00
## performance3[26,1] 1.00
## performance3[26,2] 1.00
## performance3[26,3] 1.00
## performance3[27,1] 1.00
## performance3[27,2] 1.00
## performance3[27,3] 1.00
## performance3[28,1] 1.00
## performance3[28,2] 1.00
## performance3[28,3] 1.00
## performance3[29,1] 1.00
## performance3[29,2] 1.00
## performance3[29,3] 1.00
## performance3[30,1] 1.00
## performance3[30,2] 1.00
## performance3[30,3] 1.00
## performance3[31,1] 1.00
## performance3[31,2] 1.00
## performance3[31,3] 1.00
## performance3[32,1] 1.00
## performance3[32,2] 1.00
## performance3[32,3] 1.00
## performance3[33,1] 1.00
## performance3[33,2] 1.00
## performance3[33,3] 1.00
## performance3[34,1] 1.00
## performance3[34,2] 1.00
## performance3[34,3] 1.00
## performance3[35,1] 1.00
## performance3[35,2] 1.00
## performance3[35,3] 1.00
## performance3[36,1] 1.00
## performance3[36,2] 1.00
## performance3[36,3] 1.00
## performance3[37,1] 1.00
## performance3[37,2] 1.00
## performance3[37,3] 1.00
## performance3[38,1] 1.00
## performance3[38,2] 1.00
## performance3[38,3] 1.00
## performance3[39,1] 1.00
## performance3[39,2] 1.00
## performance3[39,3] 1.00
## performance3[40,1] 1.00
## performance3[40,2] 1.00
## performance3[40,3] 1.00
## performance3[41,1] 1.00
## performance3[41,2] 1.00
## performance3[41,3] 1.00
## performance3[42,1] 1.00
## performance3[42,2] 1.00
## performance3[42,3] 1.00
## performance3[43,1] 1.00
## performance3[43,2] 1.00
## performance3[43,3] 1.00
## performance3[44,1] 1.00
## performance3[44,2] 1.00
## performance3[44,3] 1.00
## performance3[45,1] 1.00
## performance3[45,2] 1.00
## performance3[45,3] 1.00
## performance3[46,1] 1.00
## performance3[46,2] 1.00
## performance3[46,3] 1.00
## performance3[47,1] 1.00
## performance3[47,2] 1.00
## performance3[47,3] 1.00
## performance3[48,1] 1.00
## performance3[48,2] 1.00
## performance3[48,3] 1.00
## performance3[49,1] 1.00
## performance3[49,2] 1.00
## performance3[49,3] 1.00
## performance3[50,1] 1.00
## performance3[50,2] 1.00
## performance3[50,3] 1.00
## performance3[51,1] 1.00
## performance3[51,2] 1.00
## performance3[51,3] 1.00
## performance3[52,1] 1.00
## performance3[52,2] 1.00
## performance3[52,3] 1.00
## performance3[53,1] 1.00
## performance3[53,2] 1.00
## performance3[53,3] 1.00
## performance3[54,1] 1.00
## performance3[54,2] 1.00
## performance3[54,3] 1.00
## performance3[55,1] 1.00
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## performance3[61,3] 1.00
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## performance3[62,3] 1.00
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## performance3[65,3] 1.00
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## performance3[67,3] 1.00
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## performance3[68,3] 1.00
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## performance3[70,3] 1.00
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## performance3[71,3] 1.00
## performance3[72,1] 1.00
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## performance3[72,3] 1.00
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## performance3[73,3] 1.00
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## performance3[74,3] 1.00
## performance3[75,1] 1.00
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## performance3[75,3] 1.00
## performance3[76,1] 1.00
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## performance3[76,3] 1.00
## performance3[77,1] 1.00
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## performance3[77,3] 1.00
## performance3[78,1] 1.00
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## performance3[78,3] 1.00
## performance3[79,1] 1.00
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## performance3[79,3] 1.00
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## performance3[80,3] 1.00
## performance3[81,1] 1.00
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## performance3[81,3] 1.00
## performance3[82,1] 1.00
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## performance3[82,3] 1.00
## performance3[83,1] 1.00
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## performance3[83,3] 1.00
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## performance3[84,3] 1.00
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## performance3[85,3] 1.00
## performance3[86,1] 1.00
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## performance3[86,3] 1.00
## performance3[87,1] 1.00
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## performance3[87,3] 1.00
## performance3[88,1] 1.00
## performance3[88,2] 1.00
## performance3[88,3] 1.00
## performance3[89,1] 1.00
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## performance3[90,3] 1.00
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## performance3[91,3] 1.00
## performance3[92,1] 1.00
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## performance3[92,3] 1.00
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## performance3[100,3] 1.00
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## performance3[105,3] 1.00
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## performance3[107,3] 1.00
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## performance3[120,3] 1.00
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## performance3[122,3] 1.00
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## performance3[123,3] 1.00
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## performance3[124,3] 1.00
## performance3[125,1] 1.00
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## performance3[125,3] 1.00
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## performance3[126,3] 1.00
## performance3[127,1] 1.00
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## performance3[127,3] 1.00
## performance3[128,1] 1.00
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## performance3[128,3] 1.00
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## performance3[129,3] 1.00
## performance3[130,1] 1.00
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## performance3[130,3] 1.00
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## performance3[132,3] 1.00
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## performance3[133,3] 1.00
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## performance3[135,3] 1.00
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## performance3[137,1] 1.00
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## performance3[138,3] 1.00
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## performance3[140,3] 1.00
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## performance3[142,3] 1.00
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## performance3[145,3] 1.00
## performance3[146,1] 1.00
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## performance3[146,3] 1.00
## performance3[147,1] 1.00
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## performance3[147,3] 1.00
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## performance3[148,3] 1.00
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## performance3[150,2] 1.00
## performance3[150,3] 1.00
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## performance3[151,3] 1.00
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## performance3[152,3] 1.00
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## performance3[153,3] 1.00
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## performance3[154,3] 1.00
## performance3[155,1] 1.00
## performance3[155,2] 1.00
## performance3[155,3] 1.00
## performance3[156,1] 1.00
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## performance3[156,3] 1.00
## performance3[157,1] 1.00
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## performance3[157,3] 1.00
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## performance3[158,3] 1.00
## performance3[159,1] 1.00
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## performance3[159,3] 1.00
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## performance3[160,3] 1.00
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## performance3[161,3] 1.00
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## performance3[162,3] 1.00
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## performance3[164,3] 1.00
## performance3[165,1] 1.00
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## performance3[165,3] 1.00
## performance3[166,1] 1.00
## performance3[166,2] 1.00
## performance3[166,3] 1.00
## performance3[167,1] 1.00
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## performance3[167,3] 1.00
## performance3[168,1] 1.00
## performance3[168,2] 1.00
## performance3[168,3] 1.00
## performance3[169,1] 1.00
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## performance3[169,3] 1.00
## performance3[170,1] 1.00
## performance3[170,2] 1.00
## performance3[170,3] 1.00
## performance3[171,1] 1.00
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## performance3[171,3] 1.00
## performance3[172,1] 1.00
## performance3[172,2] 1.00
## performance3[172,3] 1.00
## performance3[173,1] 1.00
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## performance3[173,3] 1.00
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## performance3[174,3] 1.00
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## performance3[175,3] 1.00
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## performance3[176,3] 1.00
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## performance3[178,3] 1.00
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## performance3[264,1] 1.00
## performance3[264,2] 1.00
## performance3[264,3] 1.00
## performance3[265,1] 1.00
## performance3[265,2] 1.00
## performance3[265,3] 1.00
## performance3[266,1] 1.00
## performance3[266,2] 1.00
## performance3[266,3] 1.00
## performance3[267,1] 1.00
## performance3[267,2] 1.00
## performance3[267,3] 1.00
## performance3[268,1] 1.00
## performance3[268,2] 1.00
## performance3[268,3] 1.00
## performance3[269,1] 1.00
## performance3[269,2] 1.00
## performance3[269,3] 1.00
## performance3[270,1] 1.00
## performance3[270,2] 1.00
## performance3[270,3] 1.00
## performance3[271,1] 1.00
## performance3[271,2] 1.00
## performance3[271,3] 1.00
## performance3[272,1] 1.00
## performance3[272,2] 1.00
## performance3[272,3] 1.00
## performance3[273,1] 1.00
## performance3[273,2] 1.00
## performance3[273,3] 1.00
## performance3[274,1] 1.00
## performance3[274,2] 1.00
## performance3[274,3] 1.00
## performance3[275,1] 1.00
## performance3[275,2] 1.00
## performance3[275,3] 1.00
## performance3[276,1] 1.00
## performance3[276,2] 1.00
## performance3[276,3] 1.00
## performance3[277,1] 1.00
## performance3[277,2] 1.00
## performance3[277,3] 1.00
## performance3[278,1] 1.00
## performance3[278,2] 1.00
## performance3[278,3] 1.00
## performance3[279,1] 1.00
## performance3[279,2] 1.00
## performance3[279,3] 1.00
## performance3[280,1] 1.00
## performance3[280,2] 1.00
## performance3[280,3] 1.00
## performance3[281,1] 1.00
## performance3[281,2] 1.00
## performance3[281,3] 1.00
## performance3[282,1] 1.00
## performance3[282,2] 1.00
## performance3[282,3] 1.00
## performance3[283,1] 1.00
## performance3[283,2] 1.00
## performance3[283,3] 1.00
## performance3[284,1] 1.00
## performance3[284,2] 1.00
## performance3[284,3] 1.00
## performance3[285,1] 1.00
## performance3[285,2] 1.00
## performance3[285,3] 1.00
## performance3[286,1] 1.00
## performance3[286,2] 1.00
## performance3[286,3] 1.00
## performance3[287,1] 1.00
## performance3[287,2] 1.00
## performance3[287,3] 1.00
## performance3[288,1] 1.00
## performance3[288,2] 1.00
## performance3[288,3] 1.00
## performance3[289,1] 1.00
## performance3[289,2] 1.00
## performance3[289,3] 1.00
## performance3[290,1] 1.00
## performance3[290,2] 1.00
## performance3[290,3] 1.00
## performance3[291,1] 1.00
## performance3[291,2] 1.00
## performance3[291,3] 1.00
## performance3[292,1] 1.00
## performance3[292,2] 1.00
## performance3[292,3] 1.00
## performance3[293,1] 1.00
## performance3[293,2] 1.00
## performance3[293,3] 1.00
## performance3[294,1] 1.00
## performance3[294,2] 1.00
## performance3[294,3] 1.00
## performance3[295,1] 1.00
## performance3[295,2] 1.00
## performance3[295,3] 1.00
## performance3[296,1] 1.00
## performance3[296,2] 1.00
## performance3[296,3] 1.00
## performance3[297,1] 1.00
## performance3[297,2] 1.00
## performance3[297,3] 1.00
## performance3[298,1] 1.00
## performance3[298,2] 1.00
## performance3[298,3] 1.00
## performance3[299,1] 1.00
## performance3[299,2] 1.00
## performance3[299,3] 1.00
## performance3[300,1] 1.00
## performance3[300,2] 1.00
## performance3[300,3] 1.00
## mu[1] 1.01
## mu[2] 1.01
## mu[3] 1.01
## mu[4] 1.01
## mu[5] 1.01
## mu[6] 1.01
## mu[7] 1.00
## mu[8] 1.00
## mu[9] 1.00
## mu[10] 1.00
## s_mu 1.00
## s_pf[1] 1.01
## s_pf[2] 1.01
## s_pf[3] 1.01
## s_pf[4] 1.01
## s_pf[5] 1.01
## s_pf[6] 1.01
## s_pf[7] 1.01
## s_pf[8] 1.01
## s_pf[9] 1.01
## s_pf[10] 1.01
## lp__ 1.01
##
## Samples were drawn using NUTS(diag_e) at Wed Jan 24 21:27:51 2024.
## For each parameter, n_eff is a crude measure of effective sample size,
## and Rhat is the potential scale reduction factor on split chains (at
## convergence, Rhat=1).問題なく推定できていそうである。
a <- stan_plot(
fit2,
point_est = 'mean',
show_density = TRUE,
ci_level = 0.9,
outer_level = 1,
pars = 'mu',
fill_color = 'tomato'
) + labs(title = 'Mu')
b <- stan_plot(
fit2,
point_est = 'mean',
show_density = TRUE,
ci_level = 0.9,
outer_level = 1,
pars = 's_pf',
fill_color = 'royalblue'
) + labs(title = 'Sigma_pf')
a | b