Analítica de Datos Aplicada
Parcial 2
R para desarrollar un modelo predictivo para enfermedad de Alzheimer a partir de los niveles de expresión de lncRNAs.
Introducción
Los ARN no codificantes largos (lncRNAs en inglés) comprenden un vasto repertorio de ARN que desempeñan una amplia variedad de funciones cruciales en la fisiología de los tejidos de manera específica para cada célula. A pesar de estar implicados en miles de mecanismos reguladores, todavía no se ha asignado ninguna función a muchos lncRNAs.
Cada vez hay más pruebas de que los lncRNAs se expresan de forma aberrante en la progresión de la Enfermedad de Alzheimer (EA). En nuestro grupo, hemos analizado la expresión de cientos de lncRNAs en 15 individuos diagnosticados con EA, y 15 voluntarios sin la enfermedad en el marco del proyecto de investigación “Nuevos ARN no codificantes exo- somales y su papel en la patogénesis de la Enfermedad de Alzheimer”, código 121584468097 (844/2019), contract 416-2020, otorgado al Grupo en Genética y Medicina Molecular (Departamento de Medicina), y al Grupo de Productividad y Competitividad (Departamento de Ingeniería Industrial) de la Universidad del Norte, Barranquilla, Colombia.
Los datos pueden accederse haciendo:
if(!require(dplyr)) install.packages('dplyr')Loading required package: dplyr
Attaching package: 'dplyr'
The following objects are masked from 'package:stats':
filter, lag
The following objects are masked from 'package:base':
intersect, setdiff, setequal, union
require(dplyr)
if(!require(doParallel)) install.packages('doParallel')Loading required package: doParallel
Loading required package: foreach
Loading required package: iterators
Loading required package: parallel
require(doParallel)
if(!require(kernlab)) install.packages('kernlab')Loading required package: kernlab
require(kernlab)
if(!require(DescTools)) install.packages('DescTools')Loading required package: DescTools
Attaching package: 'DescTools'
The following object is masked from 'package:foreach':
%:%
require(DescTools)
if(!require(ResourceSelection)) install.packages('ResourceSelection')Loading required package: ResourceSelection
ResourceSelection 0.3-6 2023-06-27
require(ResourceSelection)
if(!require(pscl)) install.packages('pscl')Loading required package: pscl
Classes and Methods for R originally developed in the
Political Science Computational Laboratory
Department of Political Science
Stanford University (2002-2015),
by and under the direction of Simon Jackman.
hurdle and zeroinfl functions by Achim Zeileis.
require(pscl)
if(!require(pROC)) install.packages('pROC')Loading required package: pROC
Type 'citation("pROC")' for a citation.
Attaching package: 'pROC'
The following objects are masked from 'package:stats':
cov, smooth, var
require(pROC)
if(!require(GGally)) install.packages('GGally')Loading required package: GGally
Loading required package: ggplot2
Attaching package: 'ggplot2'
The following object is masked from 'package:kernlab':
alpha
Registered S3 method overwritten by 'GGally':
method from
+.gg ggplot2
require(GGally)
if(!require(ggplot2)) install.packages('ggplot2')
require(ggplot2)
if(!require(caret)) install.packages('caret')Loading required package: caret
Loading required package: lattice
Attaching package: 'caret'
The following objects are masked from 'package:DescTools':
MAE, RMSE
require(caret)
if(!require(OneR)) install.packages('OneR')Loading required package: OneR
require(OneR)
if(!require(ggrepel)) install.packages('ggrepel')Loading required package: ggrepel
require(ggrepel)## disponibilidad del paquete data.table
if(!require(data.table)) install.packages('data.table')
require(data.table)
## lectura de datos con fread() de data.table
url <- 'https://www.dropbox.com/scl/fi/osljigmhxwcriewhpxq1s/AD_lncRNAs.txt?rlkey=j8cfuqsx51uz9hp3a7qvbzhst&dl=1'
d <- fread(url, header = TRUE)
d <- as.data.frame(d)
d$dx <- as.factor(d$dx)Las variables relevantes son
id: identificador del participante.dx: diagnóstico del participante (0: no EA;1: EA)x1,x2,…,x29809: niveles de expresión del lncRNA \(j\), con \(j=1,2,\ldots,29809\).
El objeto d tiene 30 filas y 29811 columnas.
A partir de los datos, el objetivo es identificar los lncRNAs cuya expresión incrementa o reduce la probabilidad de diagnóstico de EA.
Como la variable respuesta es binaria, podemos utilizar las funciones que ya hemos empleado con anterioridad en Regresión Logística (RL) para medir el desempeño del modelo.
## load functions
source('https://www.dropbox.com/s/xclvdugfbrf5ryn/logistic-functions.R?dl=1')This is a collection of functions created by
Professor Jorge Vélez, PhD <https://jorgeivanvelez.netlify.app/>
for the fitting and validation of Binary Classification models
In case of problems, please an email to
<jvelezv@uninorte.edu.co> with enough details
Last modification: April 23, 2024
Loading required package: devtools
Loading required package: usethis
Loading required package: epicalc
Loading required package: foreign
Loading required package: survival
Attaching package: 'survival'
The following object is masked from 'package:caret':
cluster
Loading required package: MASS
Attaching package: 'MASS'
The following object is masked from 'package:dplyr':
select
Loading required package: nnet
Attaching package: 'epicalc'
The following object is masked from 'package:lattice':
dotplot
The following object is masked from 'package:ggplot2':
alpha
The following objects are masked from 'package:pROC':
auc, ci
The following objects are masked from 'package:kernlab':
alpha, csi
The following objects are masked from 'package:dplyr':
recode, rename
Preguntas
P1
Use una prueba \(t\) de Student de 2 colas para identificar los lncRNAs diferencialmente expresados en personas con EA. Extraiga el valor \(p\) y compárelo con el nivel de significancia \(\alpha = 0.05\). Cuántos de estos son estadísticamente significativos? Use la función p.adjust() para ajustar los valores \(p\) utilizando el método de FDR. Compare.
registerDoParallel(8)
getDoParWorkers()[1] 8
num_col<-length(colnames(d))
p_vals<-c()
for (x in colnames(d[,3:num_col])) {
col_data<-d[[x]]
p_vals<-c(p_vals,with(d,t.test(col_data[1:15],col_data[16:30], alternative = 'two.sided'))$p.value)
}
p_adjusted_fdr <- p.adjust(p_vals, method = "fdr")
sum(p_vals<0.05)[1] 1718
sum(p_adjusted_fdr<0.05)[1] 0
stopImplicitCluster()Usando los valores de p-value resultantes de la prueba t.test se puede observar que existen 1758 variables significativas para la detección de la enfermedad. Sin embargo, al aplicar un ajuste de valores P mediante false-discovery-rate, se obtiene que todas esas variables significativas en realidad eran falsos positivos. Se requiere realizar pruebas mediante distintos métodos para confirmar la significancia de las variables o agregar mas variables que puedan diferenciar las personas.
P2
Construya una función que, a partir del número del lncRNA, estime el modelo de RL, extraiga el coeficiente estimado, el estadístico \(t\) y el valor \(p\), y calcule el Odds Ratio (OR). Por ejemplo, para el lncRNA \(j\), aplicar my_magical_function(j) debe producir \(\hat{\beta}_j\), \(t_j\), \(p_j\), y \(\text{OR}_j\).
Respuesta.
Mango_CSYP<- function(Nx,d2){
lncrna<-paste0("x",Nx)
data<-d2[,c("dx",lncrna)]
data$dx<-as.factor(data$dx)
formula<-paste("dx ~",lncrna)
formula<-as.formula(formula)
fit<-glm(formula,
family = "binomial",data=d2)
coef_summ<-summary(fit)$coefficients
coeficiente<-coef_summ[2,1]
estadistico_z<-coef_summ[2,3]
p_value<-coef_summ[2,4]
odds_ratio<-exp(coeficiente)
output<-data.frame(coeficiente,estadistico_z,p_value,odds_ratio)
}
limon<-Mango_CSYP(1,d)
print(limon) coeficiente estadistico_z p_value odds_ratio
1 -0.2899068 -0.3636479 0.716121 0.7483333
P3
Construya un volcano plot similar a este. Para ello, grafique \(-\log_{10}(p)\) vs. \(\hat{\mathbf{\beta}}\) y ajuste los parámetros.
Respuesta.
d2<-d[,-1]
registerDoParallel(12)
getDoParWorkers()[1] 12
col_num <- c(1:(ncol(d2)-1))
resultados <- lapply(col_num, function(v) Mango_CSYP(v, d2))
resultado_final <- do.call(rbind, resultados)
resultado_final$id<-as.numeric(rownames(resultado_final))
stopImplicitCluster()Grafica
alpha<-0.05
ggplot(resultado_final, aes(x = coeficiente, y = -log10(p_value), label = id)) +
geom_point(aes(color = ifelse(p_value < alpha & abs(coeficiente) > 1, "Significant", "Not Significant"))) +
geom_hline(yintercept = -log10(alpha), linetype = "dashed", color = "red") +
geom_vline(xintercept = c(-1, 1), linetype = "dashed", color = "blue") +
geom_text_repel(aes(label = ifelse(p_value < alpha & abs(coeficiente) > 1, as.character(id), "")), box.padding = 0.5, segment.size = 0.2) +
labs(x = "coeficientes", y = "-log10(p-value)", title = "Volcano Plot") +
theme_minimal() +
scale_color_manual(values = c("Significant" = "red", "Not Significant" = "black")) +
guides(color = FALSE) P4
Ordene los resultados obtenidos de acuerdo con el valor \(p\) y extraiga los 10 lncRNAs con los valores \(p\) más pequeños. Cuántos de ellos confieren riesgo y cuántos protección contra EA? Concluya.
Respuesta.
resultados_ordenados<- resultado_final %>% arrange(p_value)
top10_min_Pvalue<-resultados_ordenados[1:10,]
riesgo<-sum(top10_min_Pvalue$odds_ratio>1)
proteccion<-sum(top10_min_Pvalue$odds_ratio<1)
print(paste("Se tienen ",riesgo,"Variables que confieren a riesgo y ",proteccion," variables que confieren a proteccion"))[1] "Se tienen 8 Variables que confieren a riesgo y 2 variables que confieren a proteccion"
Se encontraron que hay 8 variables que confieren a riesgo y 2 variables que confieren a proteccion.
P5
Construya un nuevo modelo de RL que incluya todos los lncRNAs identificados en P1. Evalúe la idoneidad del modelo a través de la prueba de Hosmer & Lemeshow, el pseudo-\(R^2\) y el AUC. Grafique la curva ROC. Concluya.
Respuesta.
# x4634 x24198 x3994 x12278 x2114 x9628 x27459 x6768 x2326 x1457
d2<-d[,-1]
p_vals_df<-data.frame(id=1:length(p_vals),p_vals)
p_vals_df_sort<-p_vals_df %>% arrange(p_vals)
top_10_pvals_p1<-p_vals_df_sort[1:10,1]
lncrna_p1<-paste0("x",top_10_pvals_p1)
data_p5<-d2[,c("dx",lncrna_p1)]
fit_p5<-glm(dx ~ . ,
family = "binomial",data=data_p5)g=length(data_p5)
hl <- hoslem.test(fit_p5$y, fitted(fit_p5), g = g)
hl$p.value[1] 1
El modelo no sirve, da parametros y coeficientes erroneos, no fue capaz de capturar y ajustar un modelo.
pR2(fit_p5)['McFadden']fitting null model for pseudo-r2
McFadden
1
valor de la metrica rara.
thetahat_p1 <- predict(fit_p5, type = "response")
out_p1 <- data.frame(subset(data_p5, select = c(colnames(data_p5))), thetahat_p1)
head(out_p1, 10) dx x4634 x24198 x3994 x12278 x2114 x9628 x27459 x6768
1 0 5.538549 3.801781 6.818282 3.121819 3.165598 2.655270 3.648938 3.962513
2 0 5.910856 3.754785 6.949056 3.342235 2.992199 3.005462 4.291587 4.281709
3 0 5.722300 2.891347 7.217659 2.891347 2.891347 2.891347 2.891347 4.426817
4 0 5.600270 3.868781 7.066833 3.232617 2.601015 2.801034 4.181244 4.116337
5 0 5.305594 2.764270 7.206520 2.764270 2.764270 2.764270 4.366413 4.249664
6 0 5.800785 3.997039 7.113055 2.701657 2.654656 3.119521 4.253289 4.250338
7 0 5.490107 2.698482 7.184661 2.698482 2.698482 2.698482 4.656836 4.161264
8 0 5.646459 3.947530 6.941808 2.939153 2.976971 2.666441 4.299418 4.004109
9 0 6.166172 4.027216 7.220040 3.065163 3.050647 3.676809 4.255672 4.296512
10 0 5.512085 3.767846 6.821866 2.965114 2.983605 2.723173 4.175063 4.323964
x2326 x1457 thetahat_p1
1 5.739850 3.498838 2.220446e-16
2 6.041728 3.794332 2.220446e-16
3 5.306865 2.891347 2.220446e-16
4 5.875188 2.829442 2.220446e-16
5 5.348688 2.764270 1.909764e-13
6 5.922406 3.600887 2.049530e-11
7 4.965608 2.698482 2.220446e-16
8 5.923529 3.101559 3.963863e-12
9 5.956547 4.507387 2.605680e-13
10 5.709855 2.795049 2.220446e-16
par(mfrow = c(1,1))
(ROC_p1 <- roc(dx ~ thetahat_p1, data = data_p5))Setting levels: control = 0, case = 1
Setting direction: controls < cases
Call:
roc.formula(formula = dx ~ thetahat_p1, data = data_p5)
Data: thetahat_p1 in 15 controls (dx 0) < 15 cases (dx 1).
Area under the curve: 1
plot(ROC_p1, las = 1, col = 4)P6
Repita el numeral anterior con los lncRNAs identificados en P3.
Respuesta.
#"x4634" "x14508" "x6948" "x23214" "x26435" "x28007" "x11576" "x2114" "x27199" "x2237"
#variables_p6<-c(top10_min_Pvalue$id)
#variables_p6<-lapply(variables_p6,function(n) paste0("x",n))
data_p6<-d2[,c("dx","x4634","x14508","x6948","x23214","x26435","x28007","x11576","x2114","x27199","x2237")]
fit<-glm(dx ~ .,
family = "binomial",data=data_p6)Igual que el anterior el modelo no sirve, da parametros y coeficientes erroneos, no fue capaz de capturar y ajustar un modelo.
g=length(data_p6)
hl <- hoslem.test(fit$y, fitted(fit), g = g)
hl$p.value [1] 1
Basados en la prueba de bondad de ajuste de Hosmer & Lemeshow, podemos decir que el modelo de Regresión Logística ajustado es correcto puesto que el valor (p) de la prueba es (>0.05).
pR2(fit)['McFadden']fitting null model for pseudo-r2
McFadden
1
thetahat <- predict(fit, type = "response")
out <- data.frame(subset(data_p6, select = c(colnames(data_p6))), thetahat)
head(out, 10) dx x4634 x14508 x6948 x23214 x26435 x28007 x11576 x2114
1 0 5.538549 3.359759 2.357490 2.809820 2.968388 4.733708 3.209976 3.165598
2 0 5.910856 4.810032 2.484647 3.107860 3.033896 5.190757 3.202529 2.992199
3 0 5.722300 2.891347 2.891347 2.891347 2.891347 4.724523 2.891347 2.891347
4 0 5.600270 3.489615 3.442962 3.392811 3.246401 5.455538 4.038703 2.601015
5 0 5.305594 3.890209 2.764270 2.764270 2.764270 5.005799 2.764270 2.764270
6 0 5.800785 3.640410 3.023821 3.458500 3.026107 5.517223 3.147125 2.654656
7 0 5.490107 2.698482 2.698482 2.698482 2.698482 4.825178 2.698482 2.698482
8 0 5.646459 3.491910 3.086173 2.856766 3.011048 4.786642 2.636464 2.976971
9 0 6.166172 3.611218 2.640943 3.206141 2.851336 5.452433 3.523163 3.050647
10 0 5.512085 3.498491 3.327582 3.023509 3.023030 5.233931 3.340355 2.983605
x27199 x2237 thetahat
1 4.064794 4.165073 2.220446e-16
2 4.536558 4.790952 2.220446e-16
3 4.891341 4.956808 1.697899e-11
4 5.582636 4.268078 1.037991e-11
5 4.610127 3.917581 2.220446e-16
6 5.282405 5.610903 2.220446e-16
7 4.916883 5.348971 2.220446e-16
8 4.849259 4.862247 2.220446e-16
9 5.052573 5.457987 2.220446e-16
10 5.267372 4.040879 2.220446e-16
par(mfrow = c(1,1))
(ROC <- roc(dx ~ thetahat, data = data_p6))Setting levels: control = 0, case = 1
Setting direction: controls < cases
Call:
roc.formula(formula = dx ~ thetahat, data = data_p6)
Data: thetahat in 15 controls (dx 0) < 15 cases (dx 1).
Area under the curve: 1
plot(ROC, las = 1, col = 4)Tanto para las variables encontradas en P1 como para las variables encontradas en P3, una regresion logistica no es capaz de ajustar un modelo que pueda hacer predicciones con dichas variables, esto se puede ver desde un principio cuando se trata de ajustar un modelo que las variables toman un P-value de 1, por ende el modelo no sirve en absoluto para hacer este tipo de predicciones con los datos suministrados. En cuanto a las pruebas que se le realizo a los modelos se observa que al evaluar la ideonidad del modelo las pruebas no arrojan valores que puedan tener sentido.
P7
Explore un modelo de SVM con kernel lineal para predecir el diagnóstico de EA usando el top-10 de los lncRNAs identificados en P1 y el top-5 identificados por OneR. Evalúe el desempeño de ambas aproximaciones. Es mejor usar ML que RL en este caso? Concluya.
Respuesta.
Con top10 P1
A continuación construimos los datos de training y testing usando las proporciones 70/30, además del método de validación cruzada, para las variables identificadas en “P1” :
p_vals_df<-data.frame(id=1:length(p_vals),p_vals)
p_vals_df_sort<-p_vals_df %>% arrange(p_vals)
top_10000_pvals_p1<-p_vals_df_sort[1:10000,1]
lncrna_p7<-paste0("x",top_10000_pvals_p1)
data_p7<-d2[,c("dx",lncrna_p7)]set.seed(8)
objetos_a_eliminar <- setdiff(ls(), c("data_p5","data_p7"))
rm(list = objetos_a_eliminar)
## training & testing data sets
intrain <- createDataPartition(y = data_p5$dx, p = 0.7, list = FALSE)
training <- data_p5[intrain,]
testing <- data_p5[-intrain,]
## control parameters in caret
trctrl <- trainControl(method = "repeatedcv",
number = 10,
repeats = 3)Ajustaremos un kernel lineal y optimizaremos el parámetro \(C\):
grid <- expand.grid(C = c(0.01, 0.05, 0.1,
0.25, 0.5, 0.75, 1,
1.25, 1.5, 1.75, 2, 5))
set.seed(8000)
registerDoParallel(1)
getDoParWorkers()[1] 1
svm_Linear_Grid <- train(dx~., data = training,
method = "svmLinear",
trControl = trctrl,
tuneGrid = grid,
tuneLength = 30)
stopImplicitCluster()svm_Linear_Grid$finalModelSupport Vector Machine object of class "ksvm"
SV type: C-svc (classification)
parameter : cost C = 0.75
Linear (vanilla) kernel function.
Number of Support Vectors : 8
Objective Function Value : -1.1128
Training error : 0
plot(svm_Linear_Grid)Se confirma en la grafica el desempeño del modelo con respecto al resto de C
source('https://www.dropbox.com/s/xclvdugfbrf5ryn/logistic-functions.R?dl=1')This is a collection of functions created by
Professor Jorge Vélez, PhD <https://jorgeivanvelez.netlify.app/>
for the fitting and validation of Binary Classification models
In case of problems, please an email to
<jvelezv@uninorte.edu.co> with enough details
Last modification: April 23, 2024
test_pred_grid <- predict(svm_Linear_Grid, newdata = training)
m <- confusionMatrix(test_pred_grid,
factor(training$dx, levels = c('0','1')))$table
(mtraining <- m[2:1, 2:1]) Reference
Prediction 1 0
1 11 0
0 0 11
measures(mtraining)sensitivity specificity ppv npv fdr fpr
1 1 1 1 0 0
class_rate lift delta
1 2 0
El modelo es capaz de predecir en buena forma los datos de entrenamiento.
test_pred_grid <- predict(svm_Linear_Grid, newdata = testing)
m <- confusionMatrix(test_pred_grid,
factor(testing$dx, levels = c('0','1')))$table
(mtesting <- m[2:1, 2:1]) Reference
Prediction 1 0
1 4 1
0 0 3
measures(mtesting)sensitivity specificity ppv npv fdr fpr
1.000 0.750 0.800 1.000 0.200 0.250
class_rate lift delta
0.875 1.600 0.250
Dado que el modelo tuvo un desempeño bueno tanto para los datos del training como del testing, y estos fueron similares, se puede concluir que no esta sobreajustado y es bueno para implementar.
rft(mtraining, las = 1)$auc[1] 1
rft(mtesting, las = 1, add = TRUE, line.col = cols[2])$auc[1] 0.875
legend('bottomright', c('training', 'testing'), col = cols[1:2], lty = 1, bty = 'n')Se confirma que tanto para training como para testing el modelo tiene un comportamiento similar
Con OneR
Por efectos practicos se usaran las columnas encontradas en P1
set.seed(8)
intrain <- createDataPartition(y = data_p7$dx, p = 0.7, list = FALSE)
training <- data_p7[intrain,]
testing <- data_p7[-intrain,]registerDoParallel(10)
getDoParWorkers()[1] 10
colnames(training)[1] <- 'class'
training <- training[, c(2:length(training), 1)]
data <- optbin(training)
## usando OneR
model <- OneR(class ~ ., data = data, verbose = TRUE)
Attribute Accuracy
1 * x1046 90.91%
2 x24198 86.36%
2 x3994 86.36%
2 x2190 86.36%
2 x24215 86.36%
2 x5109 86.36%
2 x10346 86.36%
2 x7174 86.36%
2 x11995 86.36%
2 x6911 86.36%
2 x13646 86.36%
2 x27514 86.36%
2 x8125 86.36%
2 x17135 86.36%
2 x765 86.36%
16 x4634 81.82%
16 x2114 81.82%
16 x6768 81.82%
16 x22359 81.82%
16 x26348 81.82%
16 x6948 81.82%
16 x6101 81.82%
16 x25668 81.82%
16 x29106 81.82%
16 x15242 81.82%
16 x14508 81.82%
16 x1664 81.82%
16 x17832 81.82%
16 x27327 81.82%
16 x22647 81.82%
16 x9749 81.82%
16 x8438 81.82%
16 x16954 81.82%
16 x1629 81.82%
16 x924 81.82%
16 x25595 81.82%
16 x1012 81.82%
16 x23257 81.82%
16 x1610 81.82%
16 x20392 81.82%
16 x8507 81.82%
16 x20059 81.82%
16 x23911 81.82%
16 x22002 81.82%
16 x29311 81.82%
16 x20924 81.82%
16 x2457 81.82%
16 x27717 81.82%
16 x19163 81.82%
16 x23793 81.82%
16 x4219 81.82%
16 x7023 81.82%
16 x4431 81.82%
16 x21997 81.82%
16 x11668 81.82%
16 x626 81.82%
16 x11933 81.82%
16 x10746 81.82%
16 x21430 81.82%
16 x15574 81.82%
16 x20207 81.82%
16 x10191 81.82%
16 x9403 81.82%
16 x9616 81.82%
16 x18411 81.82%
16 x10030 81.82%
16 x23474 81.82%
16 x17805 81.82%
16 x19082 81.82%
16 x6413 81.82%
16 x8584 81.82%
16 x12212 81.82%
16 x12051 81.82%
16 x20239 81.82%
16 x7784 81.82%
16 x189 81.82%
16 x16252 81.82%
16 x5369 81.82%
16 x26120 81.82%
16 x20970 81.82%
16 x271 81.82%
16 x21649 81.82%
16 x4013 81.82%
16 x16058 81.82%
85 x12278 77.27%
85 x9628 77.27%
85 x1457 77.27%
85 x29545 77.27%
85 x1923 77.27%
85 x6275 77.27%
85 x26435 77.27%
85 x11576 77.27%
85 x28007 77.27%
85 x15292 77.27%
85 x2544 77.27%
85 x5921 77.27%
85 x13079 77.27%
85 x10739 77.27%
85 x23214 77.27%
85 x14072 77.27%
85 x22743 77.27%
85 x1545 77.27%
85 x21284 77.27%
85 x16981 77.27%
85 x14161 77.27%
85 x930 77.27%
85 x215 77.27%
85 x22979 77.27%
85 x6141 77.27%
85 x26011 77.27%
85 x4415 77.27%
85 x19318 77.27%
85 x21376 77.27%
85 x5703 77.27%
85 x8042 77.27%
85 x18633 77.27%
85 x19904 77.27%
85 x26633 77.27%
85 x23784 77.27%
85 x27734 77.27%
85 x12215 77.27%
85 x11875 77.27%
85 x27882 77.27%
85 x8597 77.27%
85 x5055 77.27%
85 x2524 77.27%
85 x26695 77.27%
85 x28416 77.27%
85 x19366 77.27%
85 x7343 77.27%
85 x20799 77.27%
85 x4444 77.27%
85 x24607 77.27%
85 x13982 77.27%
85 x4426 77.27%
85 x7737 77.27%
85 x1079 77.27%
85 x12128 77.27%
85 x1850 77.27%
85 x13320 77.27%
85 x7159 77.27%
85 x1109 77.27%
85 x7205 77.27%
85 x3613 77.27%
85 x23338 77.27%
85 x9448 77.27%
85 x17426 77.27%
85 x1489 77.27%
85 x6704 77.27%
85 x4872 77.27%
85 x21124 77.27%
85 x6377 77.27%
85 x14148 77.27%
85 x16654 77.27%
85 x26403 77.27%
85 x4248 77.27%
85 x22454 77.27%
85 x11885 77.27%
85 x15008 77.27%
85 x6447 77.27%
85 x21424 77.27%
85 x2321 77.27%
85 x24378 77.27%
85 x25835 77.27%
85 x15801 77.27%
85 x8782 77.27%
85 x4890 77.27%
85 x3439 77.27%
85 x17604 77.27%
85 x26562 77.27%
85 x28978 77.27%
85 x3579 77.27%
85 x5163 77.27%
85 x24985 77.27%
85 x17094 77.27%
85 x12430 77.27%
85 x4799 77.27%
85 x12036 77.27%
85 x28094 77.27%
85 x13099 77.27%
85 x15796 77.27%
85 x3799 77.27%
85 x25134 77.27%
85 x3115 77.27%
85 x13941 77.27%
85 x87 77.27%
85 x29508 77.27%
85 x7694 77.27%
85 x22396 77.27%
85 x16789 77.27%
85 x15187 77.27%
85 x18826 77.27%
85 x2932 77.27%
85 x15347 77.27%
85 x3597 77.27%
85 x9619 77.27%
85 x23779 77.27%
85 x12679 77.27%
85 x4881 77.27%
85 x12589 77.27%
85 x28101 77.27%
85 x4038 77.27%
85 x16171 77.27%
85 x18733 77.27%
85 x5361 77.27%
85 x18839 77.27%
85 x22581 77.27%
85 x25229 77.27%
85 x5972 77.27%
85 x14007 77.27%
85 x29556 77.27%
85 x4073 77.27%
85 x28632 77.27%
85 x27991 77.27%
85 x5516 77.27%
85 x8904 77.27%
85 x8064 77.27%
85 x27928 77.27%
85 x6371 77.27%
85 x13335 77.27%
85 x26233 77.27%
85 x28334 77.27%
85 x18133 77.27%
85 x27723 77.27%
85 x23203 77.27%
85 x27423 77.27%
85 x5278 77.27%
85 x24298 77.27%
85 x24692 77.27%
85 x15350 77.27%
85 x27772 77.27%
85 x7732 77.27%
85 x12977 77.27%
85 x6752 77.27%
85 x13040 77.27%
85 x26682 77.27%
85 x29607 77.27%
85 x26907 77.27%
85 x28152 77.27%
85 x22547 77.27%
85 x25998 77.27%
85 x22157 77.27%
85 x1993 77.27%
85 x20447 77.27%
85 x17518 77.27%
85 x8420 77.27%
85 x14653 77.27%
85 x23668 77.27%
85 x606 77.27%
85 x28423 77.27%
85 x22319 77.27%
85 x917 77.27%
85 x25468 77.27%
85 x24514 77.27%
85 x5995 77.27%
85 x20524 77.27%
85 x15281 77.27%
85 x2111 77.27%
85 x5630 77.27%
85 x10898 77.27%
85 x510 77.27%
85 x12239 77.27%
85 x13493 77.27%
85 x25180 77.27%
85 x3117 77.27%
85 x12115 77.27%
85 x7921 77.27%
85 x17656 77.27%
85 x10734 77.27%
85 x26795 77.27%
85 x18713 77.27%
85 x15041 77.27%
85 x10659 77.27%
85 x1637 77.27%
85 x21183 77.27%
85 x5405 77.27%
85 x25048 77.27%
85 x20064 77.27%
85 x4706 77.27%
85 x14392 77.27%
85 x27144 77.27%
85 x23567 77.27%
85 x20452 77.27%
85 x25292 77.27%
85 x22845 77.27%
85 x18064 77.27%
85 x27284 77.27%
85 x9038 77.27%
85 x20757 77.27%
85 x18160 77.27%
85 x23598 77.27%
85 x5537 77.27%
85 x14950 77.27%
85 x26291 77.27%
85 x8923 77.27%
85 x9543 77.27%
85 x3033 77.27%
85 x15202 77.27%
85 x14249 77.27%
85 x10552 77.27%
85 x8144 77.27%
85 x2776 77.27%
85 x25217 77.27%
85 x12096 77.27%
85 x13277 77.27%
85 x16443 77.27%
85 x21 77.27%
85 x9754 77.27%
85 x14781 77.27%
85 x992 77.27%
85 x3247 77.27%
85 x20458 77.27%
85 x26518 77.27%
85 x9854 77.27%
85 x7888 77.27%
85 x16791 77.27%
85 x26042 77.27%
85 x15429 77.27%
85 x9098 77.27%
85 x4263 77.27%
85 x25346 77.27%
85 x29803 77.27%
85 x14867 77.27%
85 x24219 77.27%
85 x10232 77.27%
85 x6469 77.27%
85 x27589 77.27%
85 x15153 77.27%
85 x6167 77.27%
85 x11949 77.27%
85 x18867 77.27%
85 x17975 77.27%
85 x15357 77.27%
85 x13294 77.27%
85 x18122 77.27%
85 x9802 77.27%
85 x6429 77.27%
85 x26977 77.27%
85 x29767 77.27%
85 x3753 77.27%
85 x17980 77.27%
85 x15328 77.27%
85 x27835 77.27%
85 x11040 77.27%
85 x22283 77.27%
85 x9742 77.27%
347 x27459 72.73%
347 x2326 72.73%
347 x20949 72.73%
347 x27199 72.73%
347 x25706 72.73%
347 x2237 72.73%
347 x15262 72.73%
347 x14698 72.73%
347 x6226 72.73%
347 x21199 72.73%
347 x13384 72.73%
347 x27231 72.73%
347 x28321 72.73%
347 x2998 72.73%
347 x4264 72.73%
347 x2662 72.73%
347 x5831 72.73%
347 x10225 72.73%
347 x2362 72.73%
347 x23685 72.73%
347 x19951 72.73%
347 x6648 72.73%
347 x12527 72.73%
347 x8161 72.73%
347 x4915 72.73%
347 x9279 72.73%
347 x3737 72.73%
347 x20793 72.73%
347 x19164 72.73%
347 x19444 72.73%
347 x23722 72.73%
347 x9022 72.73%
347 x20617 72.73%
347 x24353 72.73%
347 x1330 72.73%
347 x8859 72.73%
347 x28570 72.73%
347 x374 72.73%
347 x265 72.73%
347 x27186 72.73%
347 x20959 72.73%
347 x11022 72.73%
347 x3223 72.73%
347 x10123 72.73%
347 x19241 72.73%
347 x23403 72.73%
347 x6245 72.73%
347 x26352 72.73%
347 x18737 72.73%
347 x3942 72.73%
347 x25214 72.73%
347 x27932 72.73%
347 x16316 72.73%
347 x10312 72.73%
347 x16576 72.73%
347 x24410 72.73%
347 x9278 72.73%
347 x27344 72.73%
347 x12113 72.73%
347 x24459 72.73%
347 x11200 72.73%
347 x8062 72.73%
347 x15579 72.73%
347 x25519 72.73%
347 x7210 72.73%
347 x11865 72.73%
347 x14082 72.73%
347 x10136 72.73%
347 x18487 72.73%
347 x12972 72.73%
347 x1473 72.73%
347 x2397 72.73%
347 x8060 72.73%
347 x957 72.73%
347 x1259 72.73%
347 x26766 72.73%
347 x1703 72.73%
347 x22104 72.73%
347 x14085 72.73%
347 x29148 72.73%
347 x19489 72.73%
347 x9499 72.73%
347 x21985 72.73%
347 x744 72.73%
347 x8783 72.73%
347 x3100 72.73%
347 x2376 72.73%
347 x21542 72.73%
347 x25552 72.73%
347 x7405 72.73%
347 x26156 72.73%
347 x20216 72.73%
347 x16047 72.73%
347 x5604 72.73%
347 x8086 72.73%
347 x20896 72.73%
347 x3794 72.73%
347 x17359 72.73%
347 x26480 72.73%
347 x19673 72.73%
347 x13541 72.73%
347 x1801 72.73%
347 x9113 72.73%
347 x18998 72.73%
347 x26385 72.73%
347 x14011 72.73%
347 x23844 72.73%
347 x22475 72.73%
347 x3782 72.73%
347 x18799 72.73%
347 x14175 72.73%
347 x6463 72.73%
347 x21703 72.73%
347 x16353 72.73%
347 x21646 72.73%
347 x16573 72.73%
347 x19881 72.73%
347 x376 72.73%
347 x23639 72.73%
347 x15221 72.73%
347 x29136 72.73%
347 x10750 72.73%
347 x277 72.73%
347 x26741 72.73%
347 x15431 72.73%
347 x21699 72.73%
347 x18861 72.73%
347 x26157 72.73%
347 x300 72.73%
347 x10396 72.73%
347 x22563 72.73%
347 x26670 72.73%
347 x910 72.73%
347 x10231 72.73%
347 x14787 72.73%
347 x27374 72.73%
347 x24523 72.73%
347 x20938 72.73%
347 x6349 72.73%
347 x16709 72.73%
347 x12366 72.73%
347 x27883 72.73%
347 x2278 72.73%
347 x7733 72.73%
347 x29594 72.73%
347 x29614 72.73%
347 x5847 72.73%
347 x7104 72.73%
347 x18215 72.73%
347 x19309 72.73%
347 x6836 72.73%
347 x26245 72.73%
347 x1764 72.73%
347 x24021 72.73%
347 x19523 72.73%
347 x18066 72.73%
347 x27532 72.73%
347 x9752 72.73%
347 x2751 72.73%
347 x24903 72.73%
347 x26762 72.73%
347 x27038 72.73%
347 x22943 72.73%
347 x19128 72.73%
347 x22541 72.73%
347 x29135 72.73%
347 x26240 72.73%
347 x12657 72.73%
347 x18352 72.73%
347 x582 72.73%
347 x5285 72.73%
347 x20994 72.73%
347 x6521 72.73%
347 x10125 72.73%
347 x22232 72.73%
347 x25106 72.73%
347 x24750 72.73%
347 x1913 72.73%
347 x23404 72.73%
347 x6513 72.73%
347 x15640 72.73%
347 x11797 72.73%
347 x4934 72.73%
347 x15484 72.73%
347 x6978 72.73%
347 x2581 72.73%
347 x459 72.73%
347 x16706 72.73%
347 x22897 72.73%
347 x20998 72.73%
347 x1938 72.73%
347 x7700 72.73%
347 x20271 72.73%
347 x14767 72.73%
347 x20187 72.73%
347 x16240 72.73%
347 x22378 72.73%
347 x25327 72.73%
347 x16819 72.73%
347 x21923 72.73%
347 x24124 72.73%
347 x24126 72.73%
347 x18368 72.73%
347 x26991 72.73%
347 x5219 72.73%
347 x23327 72.73%
347 x26323 72.73%
347 x24476 72.73%
347 x29682 72.73%
347 x29257 72.73%
347 x28948 72.73%
347 x4956 72.73%
347 x27018 72.73%
347 x21435 72.73%
347 x21480 72.73%
347 x12300 72.73%
347 x29758 72.73%
347 x8088 72.73%
347 x24296 72.73%
347 x8804 72.73%
347 x15148 72.73%
347 x20 72.73%
347 x15158 72.73%
347 x18905 72.73%
347 x12848 72.73%
347 x16479 72.73%
347 x14667 72.73%
347 x27940 72.73%
347 x22182 72.73%
347 x23401 72.73%
347 x1887 72.73%
347 x10021 72.73%
347 x21573 72.73%
347 x22737 72.73%
347 x7335 72.73%
347 x14548 72.73%
347 x7903 72.73%
347 x10745 72.73%
347 x28038 72.73%
347 x14470 72.73%
347 x24406 72.73%
347 x24950 72.73%
347 x11610 72.73%
347 x22263 72.73%
347 x17291 72.73%
347 x29309 72.73%
347 x928 72.73%
347 x6811 72.73%
347 x17740 72.73%
347 x14693 72.73%
347 x27206 72.73%
347 x14801 72.73%
347 x7129 72.73%
347 x24042 72.73%
347 x24725 72.73%
347 x15253 72.73%
347 x7639 72.73%
347 x5020 72.73%
347 x22564 72.73%
347 x24346 72.73%
347 x1408 72.73%
347 x26978 72.73%
347 x6053 72.73%
347 x11862 72.73%
347 x16511 72.73%
347 x1288 72.73%
347 x10314 72.73%
347 x12291 72.73%
347 x22662 72.73%
347 x7685 72.73%
347 x16889 72.73%
347 x13671 72.73%
347 x14640 72.73%
347 x21865 72.73%
347 x1151 72.73%
347 x11951 72.73%
347 x2105 72.73%
347 x10907 72.73%
347 x3404 72.73%
347 x21590 72.73%
347 x1945 72.73%
347 x9001 72.73%
347 x19059 72.73%
347 x12420 72.73%
347 x4520 72.73%
347 x11123 72.73%
347 x16522 72.73%
347 x6288 72.73%
347 x13830 72.73%
347 x26327 72.73%
347 x26473 72.73%
347 x22949 72.73%
347 x11823 72.73%
347 x2894 72.73%
347 x5273 72.73%
347 x16427 72.73%
347 x17619 72.73%
347 x4616 72.73%
347 x26501 72.73%
347 x14443 72.73%
347 x13324 72.73%
347 x2408 72.73%
347 x14699 72.73%
347 x1748 72.73%
347 x8412 72.73%
347 x3142 72.73%
347 x8775 72.73%
347 x15297 72.73%
347 x188 72.73%
347 x13827 72.73%
347 x2025 72.73%
347 x10905 72.73%
347 x8765 72.73%
347 x6330 72.73%
347 x6928 72.73%
347 x15518 72.73%
347 x369 72.73%
347 x24445 72.73%
347 x3363 72.73%
347 x18301 72.73%
347 x16588 72.73%
347 x29619 72.73%
347 x20977 72.73%
347 x24893 72.73%
347 x26525 72.73%
347 x359 72.73%
347 x3171 72.73%
347 x22352 72.73%
347 x12941 72.73%
347 x23485 72.73%
347 x12865 72.73%
347 x7034 72.73%
347 x15102 72.73%
347 x5035 72.73%
347 x25885 72.73%
347 x29195 72.73%
347 x14352 72.73%
347 x566 72.73%
347 x26801 72.73%
347 x16634 72.73%
347 x26958 72.73%
347 x29296 72.73%
347 x3756 72.73%
347 x2156 72.73%
347 x13810 72.73%
347 x8203 72.73%
347 x9795 72.73%
347 x28913 72.73%
347 x15642 72.73%
347 x28531 72.73%
347 x16489 72.73%
347 x20358 72.73%
347 x7990 72.73%
347 x18675 72.73%
347 x24256 72.73%
347 x29384 72.73%
347 x16718 72.73%
347 x24337 72.73%
347 x24447 72.73%
347 x15454 72.73%
347 x29489 72.73%
347 x20962 72.73%
347 x28056 72.73%
347 x14427 72.73%
347 x5333 72.73%
347 x24132 72.73%
347 x1029 72.73%
347 x13502 72.73%
347 x20257 72.73%
347 x13472 72.73%
347 x5596 72.73%
347 x17594 72.73%
347 x17890 72.73%
347 x11579 72.73%
347 x6756 72.73%
347 x2994 72.73%
347 x12246 72.73%
347 x29029 72.73%
347 x2610 72.73%
347 x22638 72.73%
347 x4465 72.73%
347 x17981 72.73%
347 x21629 72.73%
347 x800 72.73%
347 x27526 72.73%
347 x19511 72.73%
347 x1351 72.73%
347 x20329 72.73%
347 x14437 72.73%
347 x10987 72.73%
347 x24122 72.73%
347 x25325 72.73%
347 x1814 72.73%
347 x24244 72.73%
347 x12856 72.73%
347 x14803 72.73%
347 x21853 72.73%
347 x16449 72.73%
347 x25308 72.73%
347 x1462 72.73%
347 x14901 72.73%
347 x8735 72.73%
347 x29430 72.73%
347 x7902 72.73%
347 x9727 72.73%
347 x8800 72.73%
347 x27256 72.73%
347 x20707 72.73%
347 x14027 72.73%
347 x26643 72.73%
347 x28583 72.73%
347 x9050 72.73%
347 x29431 72.73%
347 x12434 72.73%
347 x16845 72.73%
347 x7246 72.73%
347 x8349 72.73%
347 x6455 72.73%
347 x11436 72.73%
347 x10175 72.73%
347 x26621 72.73%
347 x17091 72.73%
347 x10436 72.73%
347 x8323 72.73%
347 x26567 72.73%
347 x27440 72.73%
347 x13736 72.73%
347 x12422 72.73%
347 x210 72.73%
347 x28751 72.73%
347 x20284 72.73%
347 x23880 72.73%
347 x21212 72.73%
347 x13623 72.73%
347 x25126 72.73%
347 x2048 72.73%
347 x28279 72.73%
347 x28093 72.73%
347 x15207 72.73%
347 x8460 72.73%
347 x29652 72.73%
347 x26498 72.73%
347 x21190 72.73%
347 x20592 72.73%
347 x21876 72.73%
347 x25049 72.73%
347 x22256 72.73%
347 x9366 72.73%
347 x27594 72.73%
347 x3361 72.73%
347 x8674 72.73%
347 x10779 72.73%
347 x5761 72.73%
347 x14217 72.73%
347 x22676 72.73%
347 x25770 72.73%
347 x5434 72.73%
347 x28964 72.73%
347 x2342 72.73%
347 x12038 72.73%
347 x1043 72.73%
347 x26815 72.73%
347 x2472 72.73%
347 x26547 72.73%
347 x23589 72.73%
347 x2165 72.73%
347 x23587 72.73%
347 x7923 72.73%
347 x10928 72.73%
347 x12830 72.73%
347 x20507 72.73%
347 x26719 72.73%
347 x209 72.73%
347 x29638 72.73%
347 x302 72.73%
347 x12778 72.73%
347 x13461 72.73%
347 x3502 72.73%
347 x1853 72.73%
347 x8580 72.73%
347 x26832 72.73%
347 x27273 72.73%
347 x14264 72.73%
347 x12262 72.73%
347 x18624 72.73%
347 x25962 72.73%
347 x3639 72.73%
347 x2551 72.73%
347 x5306 72.73%
347 x14179 72.73%
347 x26755 72.73%
347 x29581 72.73%
347 x1892 72.73%
347 x25705 72.73%
347 x27830 72.73%
347 x24720 72.73%
347 x6549 72.73%
347 x25625 72.73%
347 x6872 72.73%
347 x19551 72.73%
347 x13766 72.73%
347 x25569 72.73%
347 x399 72.73%
347 x27802 72.73%
347 x16562 72.73%
347 x377 72.73%
347 x28794 72.73%
347 x19923 72.73%
347 x25394 72.73%
347 x3607 72.73%
347 x22685 72.73%
347 x6863 72.73%
347 x1719 72.73%
347 x11099 72.73%
347 x3710 72.73%
347 x24887 72.73%
347 x2263 72.73%
347 x1745 72.73%
347 x1883 72.73%
347 x21112 72.73%
347 x19843 72.73%
347 x18483 72.73%
347 x4832 72.73%
347 x3679 72.73%
347 x11180 72.73%
347 x2250 72.73%
347 x2403 72.73%
347 x2890 72.73%
347 x16805 72.73%
347 x24239 72.73%
347 x12819 72.73%
347 x19628 72.73%
347 x27986 72.73%
347 x19971 72.73%
347 x29514 72.73%
347 x5974 72.73%
347 x202 72.73%
347 x18946 72.73%
347 x7668 72.73%
347 x23772 72.73%
347 x15814 72.73%
347 x28074 72.73%
347 x19632 72.73%
347 x11950 72.73%
347 x16871 72.73%
347 x6038 72.73%
347 x17907 72.73%
347 x24620 72.73%
347 x14880 72.73%
347 x20637 72.73%
347 x127 72.73%
347 x5818 72.73%
347 x23398 72.73%
347 x15734 72.73%
347 x15768 72.73%
347 x12740 72.73%
347 x6257 72.73%
347 x12475 72.73%
347 x2549 72.73%
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2724 x28567 63.64%
2724 x15551 63.64%
2724 x15828 63.64%
2724 x10798 63.64%
2724 x2017 63.64%
2724 x831 63.64%
2724 x27604 63.64%
2724 x942 63.64%
2724 x15354 63.64%
2724 x483 63.64%
2724 x8621 63.64%
2724 x9256 63.64%
2724 x8499 63.64%
2724 x14070 63.64%
2724 x9317 63.64%
2724 x3425 63.64%
2724 x10616 63.64%
2724 x2550 63.64%
2724 x1146 63.64%
2724 x2733 63.64%
2724 x10269 63.64%
2724 x13645 63.64%
2724 x26706 63.64%
2724 x7490 63.64%
2724 x5398 63.64%
2724 x23333 63.64%
2724 x1422 63.64%
2724 x18697 63.64%
2724 x24213 63.64%
2724 x10044 63.64%
2724 x7511 63.64%
2724 x16783 63.64%
2724 x14701 63.64%
2724 x8215 63.64%
2724 x29265 63.64%
2724 x22956 63.64%
2724 x11670 63.64%
2724 x29575 63.64%
2724 x14012 63.64%
2724 x16633 63.64%
2724 x26064 63.64%
2724 x21777 63.64%
2724 x14733 63.64%
2724 x11426 63.64%
2724 x10097 63.64%
2724 x17848 63.64%
2724 x9531 63.64%
2724 x27796 63.64%
2724 x4677 63.64%
2724 x14134 63.64%
2724 x16169 63.64%
2724 x23728 63.64%
2724 x11308 63.64%
2724 x21682 63.64%
2724 x18471 63.64%
2724 x13082 63.64%
2724 x27916 63.64%
2724 x5625 63.64%
2724 x23497 63.64%
2724 x23242 63.64%
2724 x22407 63.64%
2724 x14416 63.64%
2724 x8059 63.64%
2724 x13372 63.64%
2724 x15878 63.64%
2724 x2584 63.64%
2724 x24450 63.64%
2724 x14212 63.64%
2724 x11226 63.64%
2724 x27302 63.64%
2724 x25266 63.64%
2724 x19641 63.64%
2724 x13743 63.64%
2724 x17289 63.64%
2724 x21525 63.64%
2724 x22045 63.64%
2724 x28206 63.64%
2724 x9993 63.64%
2724 x23034 63.64%
2724 x20000 63.64%
2724 x10133 63.64%
2724 x7122 63.64%
2724 x486 63.64%
2724 x7412 63.64%
2724 x20434 63.64%
2724 x18570 63.64%
2724 x1939 63.64%
2724 x25289 63.64%
2724 x768 63.64%
2724 x23059 63.64%
2724 x26811 63.64%
2724 x26269 63.64%
2724 x5127 63.64%
2724 x10813 63.64%
2724 x6126 63.64%
2724 x23433 63.64%
2724 x5897 63.64%
2724 x4183 63.64%
2724 x18999 63.64%
2724 x3426 63.64%
2724 x17526 63.64%
2724 x6632 63.64%
2724 x27268 63.64%
2724 x3440 63.64%
2724 x8524 63.64%
2724 x844 63.64%
2724 x16693 63.64%
2724 x21670 63.64%
2724 x27495 63.64%
2724 x11044 63.64%
2724 x9698 63.64%
2724 x16145 63.64%
2724 x24070 63.64%
2724 x17909 63.64%
2724 x18843 63.64%
2724 x17841 63.64%
2724 x11185 63.64%
2724 x3972 63.64%
2724 x24467 63.64%
2724 x1498 63.64%
2724 x18312 63.64%
2724 x24671 63.64%
2724 x13527 63.64%
2724 x13325 63.64%
2724 x6523 63.64%
2724 x28994 63.64%
2724 x9777 63.64%
2724 x16577 63.64%
2724 x10674 63.64%
2724 x13346 63.64%
2724 x12271 63.64%
2724 x11381 63.64%
2724 x10878 63.64%
2724 x2182 63.64%
2724 x24759 63.64%
2724 x6627 63.64%
2724 x22868 63.64%
2724 x11468 63.64%
2724 x6294 63.64%
2724 x26039 63.64%
2724 x10127 63.64%
2724 x211 63.64%
2724 x541 63.64%
2724 x18293 63.64%
2724 x8439 63.64%
2724 x19980 63.64%
2724 x13601 63.64%
2724 x23282 63.64%
2724 x25169 63.64%
2724 x15730 63.64%
2724 x16225 63.64%
2724 x9371 63.64%
2724 x9416 63.64%
2724 x13054 63.64%
2724 x5833 63.64%
2724 x25439 63.64%
2724 x9036 63.64%
2724 x4482 63.64%
2724 x5477 63.64%
2724 x895 63.64%
2724 x9344 63.64%
2724 x25590 63.64%
2724 x22428 63.64%
2724 x15069 63.64%
2724 x18822 63.64%
2724 x20179 63.64%
2724 x12724 63.64%
2724 x25548 63.64%
2724 x15181 63.64%
2724 x28087 63.64%
2724 x2437 63.64%
2724 x21188 63.64%
2724 x20786 63.64%
2724 x4000 63.64%
2724 x29474 63.64%
2724 x20527 63.64%
2724 x18022 63.64%
2724 x13805 63.64%
2724 x26493 63.64%
2724 x7227 63.64%
2724 x5161 63.64%
2724 x20796 63.64%
2724 x19845 63.64%
2724 x21031 63.64%
2724 x20554 63.64%
2724 x7755 63.64%
2724 x5202 63.64%
2724 x20442 63.64%
2724 x12831 63.64%
2724 x26933 63.64%
2724 x5835 63.64%
2724 x11138 63.64%
2724 x1849 63.64%
2724 x29577 63.64%
2724 x1267 63.64%
2724 x14718 63.64%
2724 x29643 63.64%
2724 x5155 63.64%
2724 x18061 63.64%
2724 x6423 63.64%
2724 x19667 63.64%
2724 x12250 63.64%
2724 x3638 63.64%
2724 x692 63.64%
2724 x9125 63.64%
2724 x27121 63.64%
2724 x8882 63.64%
2724 x10186 63.64%
2724 x21764 63.64%
2724 x21323 63.64%
2724 x3351 63.64%
2724 x13254 63.64%
2724 x24114 63.64%
2724 x6731 63.64%
2724 x25340 63.64%
2724 x6221 63.64%
2724 x29167 63.64%
2724 x3925 63.64%
2724 x7678 63.64%
2724 x4251 63.64%
2724 x15559 63.64%
2724 x3064 63.64%
2724 x7334 63.64%
2724 x13479 63.64%
2724 x5476 63.64%
2724 x7493 63.64%
2724 x2711 63.64%
2724 x10087 63.64%
2724 x20006 63.64%
2724 x25389 63.64%
2724 x13641 63.64%
2724 x20919 63.64%
2724 x3041 63.64%
2724 x24441 63.64%
2724 x25451 63.64%
2724 x15455 63.64%
2724 x1207 63.64%
2724 x4395 63.64%
2724 x10654 63.64%
2724 x29578 63.64%
2724 x28030 63.64%
2724 x24047 63.64%
2724 x19077 63.64%
2724 x19275 63.64%
2724 x7331 63.64%
2724 x15372 63.64%
2724 x25716 63.64%
2724 x17116 63.64%
2724 x12727 63.64%
2724 x15492 63.64%
2724 x20846 63.64%
2724 x14746 63.64%
2724 x19086 63.64%
2724 x15894 63.64%
2724 x24409 63.64%
2724 x22056 63.64%
2724 x4366 63.64%
2724 x25614 63.64%
2724 x9596 63.64%
2724 x20929 63.64%
2724 x7353 63.64%
2724 x19998 63.64%
2724 x3123 63.64%
2724 x17164 63.64%
2724 x8046 63.64%
2724 x15155 63.64%
2724 x15906 63.64%
2724 x16375 63.64%
2724 x23270 63.64%
2724 x4613 63.64%
2724 x6709 63.64%
2724 x7491 63.64%
2724 x22952 63.64%
2724 x240 63.64%
2724 x23413 63.64%
2724 x14308 63.64%
2724 x22251 63.64%
2724 x25426 63.64%
2724 x16438 63.64%
2724 x10343 63.64%
2724 x6202 63.64%
2724 x17255 63.64%
2724 x21282 63.64%
2724 x5365 63.64%
2724 x27862 63.64%
2724 x10064 63.64%
2724 x13468 63.64%
2724 x6868 63.64%
2724 x28435 63.64%
2724 x23708 63.64%
2724 x22761 63.64%
2724 x12084 63.64%
2724 x12242 63.64%
2724 x4163 63.64%
2724 x110 63.64%
2724 x23099 63.64%
2724 x13598 63.64%
2724 x20912 63.64%
2724 x22028 63.64%
2724 x13420 63.64%
2724 x7444 63.64%
2724 x23698 63.64%
2724 x16152 63.64%
2724 x20855 63.64%
2724 x19960 63.64%
2724 x8591 63.64%
2724 x4624 63.64%
2724 x23980 63.64%
2724 x1326 63.64%
2724 x18653 63.64%
2724 x9974 63.64%
2724 x26690 63.64%
2724 x13920 63.64%
2724 x21448 63.64%
2724 x25210 63.64%
2724 x26838 63.64%
2724 x6988 63.64%
2724 x9248 63.64%
2724 x28215 63.64%
2724 x23298 63.64%
2724 x12655 63.64%
2724 x555 63.64%
2724 x29379 63.64%
2724 x12225 63.64%
2724 x23352 63.64%
2724 x7521 63.64%
2724 x15936 63.64%
2724 x8446 63.64%
2724 x22579 63.64%
2724 x7038 63.64%
2724 x29658 63.64%
2724 x9512 63.64%
2724 x6130 63.64%
2724 x17942 63.64%
2724 x26655 63.64%
2724 x12516 63.64%
2724 x7993 63.64%
2724 x12514 63.64%
2724 x27336 63.64%
2724 x23892 63.64%
2724 x26969 63.64%
2724 x20695 63.64%
2724 x27482 63.64%
2724 x23390 63.64%
2724 x29754 63.64%
2724 x4636 63.64%
2724 x22055 63.64%
2724 x19273 63.64%
2724 x27427 63.64%
2724 x11216 63.64%
2724 x3999 63.64%
2724 x29132 63.64%
2724 x11541 63.64%
2724 x8415 63.64%
2724 x22951 63.64%
2724 x10883 63.64%
2724 x18506 63.64%
2724 x10936 63.64%
2724 x318 63.64%
2724 x25918 63.64%
2724 x8673 63.64%
2724 x11112 63.64%
2724 x4037 63.64%
2724 x24444 63.64%
2724 x21797 63.64%
2724 x19339 63.64%
2724 x24897 63.64%
2724 x18705 63.64%
2724 x14302 63.64%
2724 x15250 63.64%
2724 x6941 63.64%
2724 x4987 63.64%
2724 x25690 63.64%
2724 x16905 63.64%
2724 x11273 63.64%
2724 x19886 63.64%
2724 x11443 63.64%
2724 x29093 63.64%
2724 x15808 63.64%
2724 x28348 63.64%
2724 x23015 63.64%
2724 x10384 63.64%
2724 x14940 63.64%
2724 x12757 63.64%
2724 x8629 63.64%
2724 x28817 63.64%
2724 x18141 63.64%
2724 x18544 63.64%
2724 x16657 63.64%
2724 x8852 63.64%
2724 x8087 63.64%
2724 x4847 63.64%
2724 x22962 63.64%
2724 x17419 63.64%
2724 x4034 63.64%
2724 x26668 63.64%
2724 x11333 63.64%
2724 x27926 63.64%
2724 x11111 63.64%
2724 x28484 63.64%
2724 x28312 63.64%
2724 x18371 63.64%
2724 x17573 63.64%
2724 x14518 63.64%
2724 x10827 63.64%
2724 x1716 63.64%
2724 x11831 63.64%
2724 x20194 63.64%
2724 x14466 63.64%
2724 x27006 63.64%
2724 x13261 63.64%
2724 x7029 63.64%
2724 x12725 63.64%
2724 x28191 63.64%
2724 x23692 63.64%
2724 x26482 63.64%
2724 x10931 63.64%
2724 x14971 63.64%
2724 x8014 63.64%
2724 x13249 63.64%
2724 x14986 63.64%
2724 x21165 63.64%
2724 x11637 63.64%
2724 x5478 63.64%
2724 x24292 63.64%
2724 x4512 63.64%
2724 x29242 63.64%
2724 x18603 63.64%
2724 x17107 63.64%
2724 x1864 63.64%
2724 x10673 63.64%
2724 x8544 63.64%
2724 x29391 63.64%
2724 x782 63.64%
2724 x17758 63.64%
2724 x1975 63.64%
2724 x18912 63.64%
2724 x15740 63.64%
2724 x3889 63.64%
2724 x29249 63.64%
2724 x25985 63.64%
2724 x1158 63.64%
2724 x28867 63.64%
2724 x23455 63.64%
2724 x12532 63.64%
2724 x980 63.64%
2724 x16065 63.64%
2724 x15064 63.64%
2724 x21633 63.64%
2724 x208 63.64%
2724 x18672 63.64%
2724 x20146 63.64%
2724 x25698 63.64%
2724 x1268 63.64%
2724 x12788 63.64%
2724 x19684 63.64%
2724 x28188 63.64%
2724 x11063 63.64%
2724 x18212 63.64%
2724 x15058 63.64%
2724 x10236 63.64%
2724 x3250 63.64%
2724 x18450 63.64%
2724 x4622 63.64%
2724 x10403 63.64%
2724 x10941 63.64%
2724 x9486 63.64%
2724 x4267 63.64%
2724 x19914 63.64%
2724 x4463 63.64%
2724 x27013 63.64%
2724 x5861 63.64%
2724 x5882 63.64%
2724 x12969 63.64%
2724 x28013 63.64%
2724 x26497 63.64%
2724 x4777 63.64%
2724 x6082 63.64%
2724 x23961 63.64%
2724 x1432 63.64%
2724 x7209 63.64%
2724 x24682 63.64%
2724 x14966 63.64%
2724 x28237 63.64%
2724 x18959 63.64%
2724 x3985 63.64%
2724 x8951 63.64%
2724 x11246 63.64%
2724 x2895 63.64%
2724 x9009 63.64%
2724 x2825 63.64%
2724 x24062 63.64%
2724 x13542 63.64%
2724 x9298 63.64%
2724 x4024 63.64%
2724 x29560 63.64%
2724 x8027 63.64%
2724 x17475 63.64%
2724 x21710 63.64%
2724 x29742 63.64%
2724 x13613 63.64%
2724 x26445 63.64%
2724 x18428 63.64%
2724 x25116 63.64%
2724 x8704 63.64%
2724 x26964 63.64%
2724 x7368 63.64%
2724 x28016 63.64%
2724 x5262 63.64%
2724 x13337 63.64%
2724 x29565 63.64%
2724 x4018 63.64%
2724 x20381 63.64%
2724 x23766 63.64%
2724 x17986 63.64%
2724 x26777 63.64%
2724 x16825 63.64%
2724 x2286 63.64%
2724 x15483 63.64%
2724 x12592 63.64%
2724 x5153 63.64%
2724 x15773 63.64%
2724 x21289 63.64%
2724 x14120 63.64%
2724 x16542 63.64%
2724 x11493 63.64%
2724 x6192 63.64%
2724 x22786 63.64%
2724 x2420 63.64%
2724 x12102 63.64%
2724 x2799 63.64%
2724 x21964 63.64%
2724 x12540 63.64%
2724 x17228 63.64%
2724 x26002 63.64%
2724 x11129 63.64%
2724 x3465 63.64%
2724 x3516 63.64%
2724 x3779 63.64%
2724 x17176 63.64%
2724 x15712 63.64%
2724 x10331 63.64%
2724 x19174 63.64%
2724 x10189 63.64%
2724 x1364 63.64%
2724 x5305 63.64%
2724 x22424 63.64%
2724 x17248 63.64%
2724 x7057 63.64%
2724 x12544 63.64%
2724 x3447 63.64%
2724 x25800 63.64%
2724 x28323 63.64%
2724 x5387 63.64%
2724 x23371 63.64%
2724 x9808 63.64%
2724 x25924 63.64%
2724 x6096 63.64%
2724 x22071 63.64%
2724 x24455 63.64%
2724 x25273 63.64%
2724 x2958 63.64%
2724 x15495 63.64%
2724 x12973 63.64%
2724 x9842 63.64%
2724 x9110 63.64%
2724 x19743 63.64%
2724 x10209 63.64%
2724 x19350 63.64%
2724 x25786 63.64%
2724 x3278 63.64%
2724 x24836 63.64%
2724 x2153 63.64%
2724 x7861 63.64%
2724 x19312 63.64%
2724 x6185 63.64%
2724 x14663 63.64%
2724 x17304 63.64%
2724 x8294 63.64%
2724 x6489 63.64%
2724 x11059 63.64%
2724 x13183 63.64%
2724 x8582 63.64%
2724 x4504 63.64%
2724 x25576 63.64%
2724 x4795 63.64%
2724 x21245 63.64%
2724 x6043 63.64%
2724 x20487 63.64%
2724 x12393 63.64%
2724 x24974 63.64%
2724 x6145 63.64%
2724 x23595 63.64%
2724 x22198 63.64%
2724 x20301 63.64%
2724 x11420 63.64%
2724 x24053 63.64%
2724 x29475 63.64%
2724 x29078 63.64%
2724 x23984 63.64%
2724 x8953 63.64%
2724 x3456 63.64%
2724 x20642 63.64%
2724 x7008 63.64%
2724 x2314 63.64%
2724 x22094 63.64%
2724 x12263 63.64%
2724 x25772 63.64%
2724 x9163 63.64%
2724 x14182 63.64%
2724 x24821 63.64%
2724 x25643 63.64%
2724 x27591 63.64%
2724 x11858 63.64%
2724 x3575 63.64%
2724 x22126 63.64%
2724 x8300 63.64%
2724 x17945 63.64%
2724 x27082 63.64%
2724 x4195 63.64%
2724 x3462 63.64%
2724 x11715 63.64%
2724 x7537 63.64%
2724 x4341 63.64%
2724 x3324 63.64%
2724 x8494 63.64%
2724 x6278 63.64%
2724 x20673 63.64%
2724 x14688 63.64%
2724 x21489 63.64%
2724 x9352 63.64%
2724 x6848 63.64%
2724 x12520 63.64%
2724 x1396 63.64%
2724 x1386 63.64%
2724 x1600 63.64%
2724 x14147 63.64%
2724 x22982 63.64%
2724 x16477 63.64%
2724 x1583 63.64%
2724 x2344 63.64%
2724 x13628 63.64%
2724 x1178 63.64%
2724 x24127 63.64%
2724 x15179 63.64%
2724 x26361 63.64%
2724 x27235 63.64%
2724 x22085 63.64%
2724 x16416 63.64%
2724 x15322 63.64%
2724 x4782 63.64%
2724 x28870 63.64%
2724 x3990 63.64%
2724 x28832 63.64%
2724 x16843 63.64%
2724 x16877 63.64%
2724 x23168 63.64%
2724 x15092 63.64%
2724 x14447 63.64%
2724 x9433 63.64%
2724 x5695 63.64%
2724 x7598 63.64%
2724 x16025 63.64%
2724 x8891 63.64%
2724 x15897 63.64%
2724 x6753 63.64%
2724 x8400 63.64%
2724 x10946 63.64%
2724 x8063 63.64%
2724 x7739 63.64%
2724 x22805 63.64%
2724 x25442 63.64%
2724 x22755 63.64%
2724 x1390 63.64%
2724 x1859 63.64%
2724 x15060 63.64%
2724 x14239 63.64%
2724 x1399 63.64%
2724 x27719 63.64%
2724 x22873 63.64%
2724 x13195 63.64%
2724 x2539 63.64%
2724 x16495 63.64%
2724 x18840 63.64%
2724 x779 63.64%
2724 x8358 63.64%
2724 x12047 63.64%
2724 x23300 63.64%
2724 x5684 63.64%
2724 x17275 63.64%
2724 x18299 63.64%
2724 x13072 63.64%
2724 x3788 63.64%
2724 x7418 63.64%
2724 x27592 63.64%
2724 x8169 63.64%
2724 x28157 63.64%
2724 x5053 63.64%
2724 x10990 63.64%
2724 x2193 63.64%
2724 x9870 63.64%
2724 x18173 63.64%
2724 x27696 63.64%
2724 x4640 63.64%
2724 x10212 63.64%
2724 x28866 63.64%
2724 x2145 63.64%
2724 x3973 63.64%
2724 x8132 63.64%
2724 x17119 63.64%
2724 x17438 63.64%
2724 x14095 63.64%
2724 x10906 63.64%
2724 x6942 63.64%
2724 x11309 63.64%
2724 x27895 63.64%
2724 x4342 63.64%
2724 x5102 63.64%
2724 x19503 63.64%
2724 x7916 63.64%
2724 x13572 63.64%
2724 x23309 63.64%
2724 x27408 63.64%
2724 x15432 63.64%
2724 x14670 63.64%
2724 x2390 63.64%
2724 x7149 63.64%
2724 x20960 63.64%
2724 x3391 63.64%
2724 x21366 63.64%
2724 x4491 63.64%
2724 x18305 63.64%
2724 x17042 63.64%
2724 x11492 63.64%
2724 x21678 63.64%
2724 x9308 63.64%
2724 x11269 63.64%
2724 x8370 63.64%
2724 x21414 63.64%
2724 x24102 63.64%
2724 x15114 63.64%
2724 x13498 63.64%
2724 x20399 63.64%
2724 x16820 63.64%
2724 x28855 63.64%
2724 x17799 63.64%
2724 x19085 63.64%
2724 x267 63.64%
2724 x17882 63.64%
2724 x12543 63.64%
2724 x28837 63.64%
2724 x9126 63.64%
2724 x6386 63.64%
2724 x25638 63.64%
2724 x14609 63.64%
2724 x23439 63.64%
2724 x9550 63.64%
2724 x5533 63.64%
2724 x15485 63.64%
2724 x14604 63.64%
2724 x16156 63.64%
2724 x21587 63.64%
2724 x18665 63.64%
2724 x20745 63.64%
2724 x2283 63.64%
2724 x17489 63.64%
2724 x7241 63.64%
2724 x4131 63.64%
2724 x246 63.64%
2724 x26819 63.64%
2724 x3705 63.64%
2724 x27844 63.64%
2724 x22684 63.64%
2724 x11959 63.64%
2724 x3671 63.64%
2724 x16404 63.64%
2724 x22947 63.64%
2724 x10518 63.64%
2724 x5232 63.64%
2724 x11220 63.64%
2724 x28409 63.64%
2724 x8746 63.64%
2724 x9591 63.64%
2724 x16579 63.64%
2724 x10911 63.64%
2724 x22898 63.64%
2724 x8954 63.64%
2724 x3697 63.64%
2724 x10527 63.64%
2724 x16331 63.64%
2724 x8653 63.64%
2724 x19664 63.64%
2724 x22551 63.64%
2724 x6773 63.64%
2724 x607 63.64%
2724 x4734 63.64%
2724 x14043 63.64%
2724 x6486 63.64%
2724 x1445 63.64%
2724 x17931 63.64%
2724 x1087 63.64%
2724 x10155 63.64%
2724 x3806 63.64%
2724 x10463 63.64%
2724 x14034 63.64%
2724 x16417 63.64%
2724 x920 63.64%
2724 x25017 63.64%
2724 x11665 63.64%
2724 x9928 63.64%
2724 x27977 63.64%
2724 x29733 63.64%
2724 x18784 63.64%
2724 x19598 63.64%
2724 x2385 63.64%
2724 x26388 63.64%
2724 x19633 63.64%
2724 x9283 63.64%
2724 x21658 63.64%
2724 x24323 63.64%
2724 x13568 63.64%
2724 x9386 63.64%
2724 x16490 63.64%
2724 x1341 63.64%
2724 x14700 63.64%
2724 x6656 63.64%
2724 x6969 63.64%
2724 x10828 63.64%
2724 x26018 63.64%
2724 x23812 63.64%
2724 x8565 63.64%
2724 x17539 63.64%
2724 x2405 63.64%
2724 x4277 63.64%
2724 x959 63.64%
2724 x12591 63.64%
2724 x10676 63.64%
2724 x4906 63.64%
2724 x26716 63.64%
2724 x12121 63.64%
2724 x6615 63.64%
2724 x9641 63.64%
2724 x2147 63.64%
2724 x14497 63.64%
2724 x22615 63.64%
2724 x29364 63.64%
2724 x24592 63.64%
2724 x19277 63.64%
2724 x19421 63.64%
2724 x10754 63.64%
2724 x1997 63.64%
2724 x7316 63.64%
2724 x16324 63.64%
2724 x25771 63.64%
2724 x6547 63.64%
2724 x22117 63.64%
2724 x21362 63.64%
2724 x10634 63.64%
2724 x1168 63.64%
2724 x25422 63.64%
2724 x18764 63.64%
2724 x22012 63.64%
2724 x1143 63.64%
2724 x9972 63.64%
2724 x29613 63.64%
2724 x27593 63.64%
2724 x12798 63.64%
2724 x6207 63.64%
2724 x19345 63.64%
2724 x17574 63.64%
2724 x16349 63.64%
2724 x25358 63.64%
2724 x20751 63.64%
2724 x24040 63.64%
2724 x6929 63.64%
2724 x429 63.64%
2724 x15955 63.64%
2724 x22419 63.64%
2724 x26645 63.64%
2724 x14022 63.64%
2724 x17279 63.64%
2724 x14979 63.64%
2724 x18243 63.64%
2724 x27241 63.64%
2724 x14331 63.64%
2724 x7162 63.64%
2724 x3490 63.64%
2724 x27799 63.64%
2724 x7589 63.64%
2724 x16997 63.64%
2724 x10726 63.64%
2724 x20165 63.64%
2724 x17703 63.64%
2724 x26167 63.64%
2724 x27506 63.64%
2724 x2520 63.64%
2724 x22488 63.64%
2724 x425 63.64%
2724 x8298 63.64%
2724 x1614 63.64%
2724 x15272 63.64%
2724 x2886 63.64%
2724 x27142 63.64%
2724 x6616 63.64%
2724 x26855 63.64%
2724 x13549 63.64%
2724 x26867 63.64%
2724 x18076 63.64%
2724 x22895 63.64%
2724 x4732 63.64%
2724 x22641 63.64%
2724 x14859 63.64%
2724 x4695 63.64%
2724 x19459 63.64%
2724 x6959 63.64%
2724 x24230 63.64%
2724 x1829 63.64%
2724 x13451 63.64%
2724 x18821 63.64%
2724 x20628 63.64%
2724 x11934 63.64%
2724 x24510 63.64%
2724 x19303 63.64%
2724 x25232 63.64%
2724 x3517 63.64%
2724 x29770 63.64%
2724 x10985 63.64%
2724 x14096 63.64%
2724 x15856 63.64%
2724 x28023 63.64%
2724 x21363 63.64%
2724 x13918 63.64%
2724 x21667 63.64%
2724 x21068 63.64%
2724 x12097 63.64%
2724 x12645 63.64%
2724 x26224 63.64%
2724 x1083 63.64%
2724 x21187 63.64%
2724 x418 63.64%
2724 x16351 63.64%
2724 x22023 63.64%
2724 x7013 63.64%
2724 x25101 63.64%
2724 x1019 63.64%
2724 x12683 63.64%
2724 x16675 63.64%
2724 x3854 63.64%
2724 x28132 63.64%
2724 x13655 63.64%
2724 x14564 63.64%
2724 x7304 63.64%
2724 x13287 63.64%
2724 x19403 63.64%
2724 x18125 63.64%
2724 x6779 63.64%
2724 x24063 63.64%
2724 x14143 63.64%
2724 x3867 63.64%
2724 x5491 63.64%
2724 x24014 63.64%
2724 x10857 63.64%
2724 x4301 63.64%
2724 x29469 63.64%
2724 x28391 63.64%
2724 x3381 63.64%
2724 x17247 63.64%
2724 x25907 63.64%
2724 x21677 63.64%
2724 x4240 63.64%
2724 x22924 63.64%
2724 x11554 63.64%
2724 x17076 63.64%
2724 x19028 63.64%
2724 x1661 63.64%
2724 x4499 63.64%
2724 x27694 63.64%
2724 x25521 63.64%
2724 x28238 63.64%
2724 x22522 63.64%
2724 x16754 63.64%
2724 x24999 63.64%
2724 x24497 63.64%
2724 x15530 63.64%
2724 x26616 63.64%
2724 x8076 63.64%
2724 x7462 63.64%
2724 x22698 63.64%
2724 x22051 63.64%
2724 x14401 63.64%
2724 x7053 63.64%
2724 x26459 63.64%
2724 x14042 63.64%
2724 x13486 63.64%
2724 x7604 63.64%
2724 x19272 63.64%
2724 x11734 63.64%
2724 x5820 63.64%
2724 x19741 63.64%
2724 x6633 63.64%
2724 x1413 63.64%
2724 x15769 63.64%
2724 x26707 63.64%
2724 x21848 63.64%
2724 x15442 63.64%
2724 x7020 63.64%
2724 x12610 63.64%
2724 x3494 63.64%
2724 x19659 63.64%
2724 x19402 63.64%
2724 x29401 63.64%
2724 x22703 63.64%
2724 x12861 63.64%
2724 x6055 63.64%
2724 x1442 63.64%
2724 x3945 63.64%
2724 x3663 63.64%
2724 x29065 63.64%
2724 x17225 63.64%
2724 x21094 63.64%
2724 x4381 63.64%
2724 x28315 63.64%
2724 x15610 63.64%
2724 x10221 63.64%
2724 x807 63.64%
2724 x21005 63.64%
2724 x4667 63.64%
2724 x12739 63.64%
2724 x5447 63.64%
2724 x15788 63.64%
2724 x23693 63.64%
2724 x18879 63.64%
2724 x7949 63.64%
2724 x6408 63.64%
2724 x19047 63.64%
2724 x19580 63.64%
2724 x1150 63.64%
2724 x1077 63.64%
2724 x24345 63.64%
2724 x13134 63.64%
2724 x6188 63.64%
2724 x8700 63.64%
2724 x29620 63.64%
2724 x27641 63.64%
2724 x24891 63.64%
2724 x15418 63.64%
2724 x26362 63.64%
2724 x21555 63.64%
2724 x1988 63.64%
2724 x23704 63.64%
2724 x29317 63.64%
2724 x20531 63.64%
2724 x27017 63.64%
2724 x2361 63.64%
2724 x20980 63.64%
2724 x4912 63.64%
2724 x11749 63.64%
2724 x15269 63.64%
2724 x5359 63.64%
2724 x11719 63.64%
2724 x9088 63.64%
2724 x24344 63.64%
2724 x27782 63.64%
2724 x24675 63.64%
2724 x12929 63.64%
2724 x11786 63.64%
2724 x538 63.64%
2724 x4420 63.64%
2724 x19548 63.64%
2724 x1782 63.64%
2724 x16022 63.64%
2724 x25233 63.64%
2724 x24670 63.64%
2724 x25954 63.64%
2724 x23632 63.64%
2724 x3622 63.64%
2724 x29543 63.64%
2724 x8448 63.64%
2724 x21640 63.64%
2724 x6995 63.64%
2724 x11296 63.64%
2724 x20742 63.64%
2724 x22133 63.64%
2724 x24110 63.64%
2724 x17838 63.64%
2724 x7964 63.64%
2724 x19593 63.64%
2724 x10373 63.64%
2724 x9094 63.64%
2724 x10856 63.64%
2724 x26030 63.64%
2724 x23152 63.64%
2724 x6420 63.64%
2724 x28159 63.64%
2724 x17618 63.64%
2724 x5424 63.64%
2724 x24871 63.64%
2724 x17877 63.64%
2724 x22420 63.64%
2724 x26649 63.64%
2724 x18391 63.64%
2724 x3504 63.64%
2724 x17728 63.64%
2724 x11406 63.64%
2724 x19690 63.64%
2724 x730 63.64%
2724 x4924 63.64%
2724 x8311 63.64%
2724 x23205 63.64%
2724 x1072 63.64%
2724 x18908 63.64%
2724 x27968 63.64%
2724 x1198 63.64%
2724 x8785 63.64%
2724 x21892 63.64%
2724 x25044 63.64%
2724 x23350 63.64%
2724 x21083 63.64%
2724 x15947 63.64%
2724 x3570 63.64%
2724 x10096 63.64%
2724 x6153 63.64%
2724 x11600 63.64%
2724 x1967 63.64%
2724 x24483 63.64%
2724 x335 63.64%
2724 x2709 63.64%
2724 x949 63.64%
2724 x14879 63.64%
2724 x7917 63.64%
2724 x11598 63.64%
2724 x8952 63.64%
2724 x13905 63.64%
2724 x20645 63.64%
2724 x2935 63.64%
2724 x25723 63.64%
2724 x4467 63.64%
2724 x23920 63.64%
2724 x20238 63.64%
2724 x18766 63.64%
2724 x5606 63.64%
2724 x23955 63.64%
2724 x12602 63.64%
2724 x24320 63.64%
2724 x29772 63.64%
2724 x8545 63.64%
2724 x17497 63.64%
2724 x2951 63.64%
2724 x16424 63.64%
2724 x10196 63.64%
2724 x25348 63.64%
2724 x16585 63.64%
2724 x19261 63.64%
2724 x29202 63.64%
2724 x26444 63.64%
2724 x5463 63.64%
2724 x4539 63.64%
2724 x9773 63.64%
2724 x16867 63.64%
2724 x10489 63.64%
2724 x22853 63.64%
2724 x26592 63.64%
2724 x24639 63.64%
2724 x19409 63.64%
2724 x27323 63.64%
2724 x22265 63.64%
2724 x4977 63.64%
2724 x16384 63.64%
2724 x24695 63.64%
2724 x7975 63.64%
2724 x21770 63.64%
2724 x23353 63.64%
2724 x19636 63.64%
2724 x22400 63.64%
2724 x23268 63.64%
2724 x4490 63.64%
2724 x26825 63.64%
2724 x25073 63.64%
2724 x24343 63.64%
2724 x25976 63.64%
2724 x18882 63.64%
2724 x464 63.64%
2724 x20972 63.64%
2724 x15502 63.64%
2724 x27111 63.64%
2724 x24158 63.64%
2724 x28961 63.64%
2724 x8842 63.64%
2724 x3602 63.64%
2724 x17483 63.64%
2724 x22179 63.64%
2724 x989 63.64%
2724 x3112 63.64%
2724 x18152 63.64%
2724 x736 63.64%
2724 x7513 63.64%
2724 x6945 63.64%
2724 x19441 63.64%
2724 x10525 63.64%
2724 x10841 63.64%
2724 x12226 63.64%
2724 x7690 63.64%
2724 x29648 63.64%
2724 x26172 63.64%
2724 x4059 63.64%
2724 x28922 63.64%
2724 x23849 63.64%
2724 x7351 63.64%
2724 x25588 63.64%
2724 x8772 63.64%
2724 x21875 63.64%
2724 x9873 63.64%
2724 x29180 63.64%
2724 x10159 63.64%
2724 x675 63.64%
2724 x23616 63.64%
2724 x16488 63.64%
2724 x13952 63.64%
2724 x3044 63.64%
2724 x24566 63.64%
2724 x12117 63.64%
2724 x14922 63.64%
2724 x2727 63.64%
2724 x21821 63.64%
2724 x25332 63.64%
2724 x24876 63.64%
2724 x16914 63.64%
2724 x4407 63.64%
2724 x18071 63.64%
2724 x7433 63.64%
2724 x14785 63.64%
2724 x17755 63.64%
2724 x13903 63.64%
2724 x17693 63.64%
2724 x5178 63.64%
2724 x21325 63.64%
2724 x14768 63.64%
2724 x3364 63.64%
2724 x28308 63.64%
2724 x23628 63.64%
2724 x24854 63.64%
2724 x17609 63.64%
2724 x13218 63.64%
2724 x13889 63.64%
2724 x8490 63.64%
2724 x16664 63.64%
2724 x19280 63.64%
2724 x447 63.64%
2724 x28343 63.64%
2724 x6446 63.64%
2724 x18823 63.64%
2724 x28903 63.64%
2724 x4072 63.64%
2724 x28164 63.64%
2724 x1565 63.64%
2724 x16911 63.64%
2724 x22770 63.64%
2724 x24261 63.64%
2724 x9037 63.64%
2724 x15497 63.64%
2724 x1053 63.64%
2724 x6320 63.64%
2724 x19165 63.64%
2724 x29225 63.64%
2724 x861 63.64%
2724 x18578 63.64%
2724 x9562 63.64%
2724 x932 63.64%
2724 x16848 63.64%
2724 x15643 63.64%
2724 x10863 63.64%
2724 x24606 63.64%
2724 x24559 63.64%
2724 x15389 63.64%
2724 x13436 63.64%
2724 x22930 63.64%
2724 x27134 63.64%
2724 x20288 63.64%
2724 x4151 63.64%
2724 x6445 63.64%
2724 x575 63.64%
2724 x23827 63.64%
2724 x26835 63.64%
2724 x14486 63.64%
2724 x25352 63.64%
2724 x22494 63.64%
2724 x26534 63.64%
2724 x6347 63.64%
2724 x20025 63.64%
2724 x379 63.64%
2724 x27645 63.64%
2724 x14491 63.64%
2724 x26932 63.64%
2724 x18165 63.64%
2724 x19125 63.64%
2724 x19219 63.64%
2724 x1258 63.64%
2724 x27347 63.64%
2724 x23596 63.64%
2724 x26037 63.64%
2724 x26251 63.64%
2724 x4508 63.64%
2724 x22782 63.64%
2724 x24512 63.64%
2724 x5295 63.64%
2724 x11353 63.64%
2724 x25120 63.64%
2724 x24612 63.64%
2724 x22839 63.64%
2724 x4629 63.64%
2724 x26382 63.64%
2724 x25562 63.64%
2724 x15036 63.64%
2724 x11175 63.64%
2724 x11605 63.64%
2724 x25431 63.64%
2724 x16710 63.64%
2724 x19298 63.64%
2724 x4743 63.64%
2724 x16144 63.64%
2724 x1855 63.64%
2724 x7136 63.64%
2724 x29708 63.64%
2724 x9694 63.64%
2724 x20525 63.64%
2724 x12211 63.64%
2724 x23438 63.64%
2724 x623 63.64%
2724 x15456 63.64%
2724 x13108 63.64%
2724 x14973 63.64%
2724 x7184 63.64%
2724 x98 63.64%
2724 x22351 63.64%
2724 x1318 63.64%
2724 x1994 63.64%
2724 x29377 63.64%
2724 x25070 63.64%
2724 x5888 63.64%
2724 x19534 63.64%
2724 x8085 63.64%
2724 x19073 63.64%
2724 x7303 63.64%
2724 x12279 63.64%
2724 x16673 63.64%
2724 x144 63.64%
2724 x16036 63.64%
2724 x11125 63.64%
2724 x29402 63.64%
2724 x14814 63.64%
2724 x5070 63.64%
2724 x13295 63.64%
2724 x28487 63.64%
2724 x27924 63.64%
2724 x15811 63.64%
2724 x11052 63.64%
2724 x6855 63.64%
2724 x24495 63.64%
2724 x14071 63.64%
2724 x2470 63.64%
2724 x889 63.64%
2724 x1177 63.64%
2724 x2354 63.64%
2724 x9687 63.64%
2724 x13967 63.64%
2724 x3827 63.64%
2724 x5805 63.64%
2724 x23700 63.64%
2724 x10867 63.64%
2724 x1028 63.64%
2724 x10464 63.64%
2724 x187 63.64%
2724 x21459 63.64%
2724 x19434 63.64%
2724 x8031 63.64%
2724 x26234 63.64%
2724 x9984 63.64%
2724 x27337 63.64%
2724 x23277 63.64%
2724 x16315 63.64%
2724 x27386 63.64%
2724 x13559 63.64%
2724 x27644 63.64%
2724 x811 63.64%
2724 x11354 63.64%
2724 x13914 63.64%
2724 x8613 63.64%
2724 x15351 63.64%
2724 x22189 63.64%
2724 x16291 63.64%
2724 x2943 63.64%
2724 x17630 63.64%
2724 x3463 63.64%
2724 x12066 63.64%
2724 x24266 63.64%
2724 x20076 63.64%
2724 x19916 63.64%
2724 x7541 63.64%
2724 x4007 63.64%
2724 x5577 63.64%
2724 x14619 63.64%
2724 x22321 63.64%
2724 x19655 63.64%
2724 x10943 63.64%
2724 x17479 63.64%
2724 x1294 63.64%
2724 x12312 63.64%
2724 x24745 63.64%
2724 x715 63.64%
2724 x17329 63.64%
2724 x12256 63.64%
2724 x8744 63.64%
2724 x26449 63.64%
2724 x2146 63.64%
2724 x22073 63.64%
2724 x17074 63.64%
2724 x23040 63.64%
2724 x13890 63.64%
2724 x25434 63.64%
2724 x14815 63.64%
2724 x12133 63.64%
2724 x28169 63.64%
2724 x11035 63.64%
2724 x16821 63.64%
2724 x3261 63.64%
2724 x2740 63.64%
2724 x7207 63.64%
2724 x15122 63.64%
2724 x1603 63.64%
2724 x25475 63.64%
2724 x27059 63.64%
2724 x22367 63.64%
2724 x638 63.64%
2724 x17223 63.64%
2724 x13392 63.64%
2724 x19127 63.64%
2724 x5315 63.64%
2724 x14536 63.64%
2724 x23860 63.64%
2724 x21934 63.64%
2724 x20093 63.64%
2724 x22731 63.64%
2724 x2724 63.64%
2724 x28119 63.64%
2724 x3582 63.64%
2724 x23210 63.64%
2724 x11615 63.64%
2724 x10409 63.64%
2724 x1471 63.64%
2724 x14559 63.64%
2724 x26979 63.64%
2724 x25240 63.64%
2724 x29064 63.64%
2724 x312 63.64%
2724 x14617 63.64%
2724 x6500 63.64%
2724 x6820 63.64%
2724 x8361 63.64%
2724 x20072 63.64%
2724 x4190 63.64%
2724 x15259 63.64%
2724 x24996 63.64%
2724 x817 63.64%
2724 x14510 63.64%
2724 x12735 63.64%
2724 x11608 63.64%
2724 x26701 63.64%
2724 x3953 63.64%
2724 x14476 63.64%
2724 x11582 63.64%
2724 x9811 63.64%
2724 x28218 63.64%
2724 x13798 63.64%
2724 x16085 63.64%
2724 x18575 63.64%
2724 x6277 63.64%
2724 x11964 63.64%
2724 x18723 63.64%
2724 x27127 63.64%
2724 x26363 63.64%
2724 x27432 63.64%
2724 x5991 63.64%
2724 x14467 63.64%
2724 x26009 63.64%
2724 x26048 63.64%
2724 x18813 63.64%
2724 x27776 63.64%
2724 x11218 63.64%
2724 x9851 63.64%
2724 x14222 63.64%
2724 x18644 63.64%
2724 x11256 63.64%
2724 x2444 63.64%
2724 x2960 63.64%
2724 x29467 63.64%
2724 x17865 63.64%
2724 x2898 63.64%
2724 x25499 63.64%
2724 x16713 63.64%
2724 x17070 63.64%
2724 x27981 63.64%
2724 x9490 63.64%
2724 x27476 63.64%
2724 x3547 63.64%
2724 x14479 63.64%
2724 x8069 63.64%
2724 x22109 63.64%
2724 x29355 63.64%
2724 x25390 63.64%
2724 x7939 63.64%
2724 x9447 63.64%
2724 x14830 63.64%
2724 x22130 63.64%
2724 x16851 63.64%
2724 x4001 63.64%
2724 x24498 63.64%
2724 x5598 63.64%
2724 x1127 63.64%
2724 x18320 63.64%
2724 x20324 63.64%
2724 x29766 63.64%
2724 x1278 63.64%
2724 x6696 63.64%
2724 x8283 63.64%
2724 x21067 63.64%
2724 x7648 63.64%
2724 x1902 63.64%
2724 x27643 63.64%
2724 x7428 63.64%
2724 x16343 63.64%
2724 x21854 63.64%
2724 x15628 63.64%
2724 x6358 63.64%
2724 x23288 63.64%
2724 x2386 63.64%
2724 x12826 63.64%
2724 x21472 63.64%
2724 x25321 63.64%
2724 x18417 63.64%
2724 x8355 63.64%
2724 x16097 63.64%
2724 x21552 63.64%
2724 x13063 63.64%
2724 x4198 63.64%
2724 x25478 63.64%
2724 x21057 63.64%
2724 x15449 63.64%
2724 x18269 63.64%
2724 x28428 63.64%
2724 x9934 63.64%
2724 x20236 63.64%
2724 x29432 63.64%
2724 x16884 63.64%
2724 x29670 63.64%
2724 x19711 63.64%
2724 x3931 63.64%
2724 x11624 63.64%
2724 x12254 63.64%
2724 x19600 63.64%
2724 x20894 63.64%
2724 x5209 63.64%
2724 x5810 63.64%
2724 x22289 63.64%
2724 x20782 63.64%
2724 x24269 63.64%
2724 x13543 63.64%
2724 x25546 63.64%
2724 x4418 63.64%
2724 x12556 63.64%
2724 x14255 63.64%
2724 x26646 63.64%
2724 x6909 63.64%
2724 x21593 63.64%
2724 x19000 63.64%
2724 x2423 63.64%
2724 x20777 63.64%
2724 x4481 63.64%
2724 x3500 63.64%
2724 x20969 63.64%
2724 x23197 63.64%
2724 x6097 63.64%
2724 x6477 63.64%
2724 x9620 63.64%
2724 x10555 63.64%
2724 x10811 63.64%
2724 x10775 63.64%
2724 x25851 63.64%
2724 x8753 63.64%
2724 x21206 63.64%
2724 x7619 63.64%
2724 x18390 63.64%
2724 x20909 63.64%
2724 x15992 63.64%
2724 x12356 63.64%
2724 x13522 63.64%
2724 x12631 63.64%
2724 x28272 63.64%
2724 x1149 63.64%
2724 x6751 63.64%
2724 x3890 63.64%
2724 x22339 63.64%
2724 x2217 63.64%
2724 x8483 63.64%
2724 x9042 63.64%
2724 x7920 63.64%
2724 x24735 63.64%
2724 x24769 63.64%
2724 x19647 63.64%
2724 x23235 63.64%
2724 x25616 63.64%
2724 x8413 63.64%
2724 x3515 63.64%
2724 x24172 63.64%
2724 x5853 63.64%
2724 x9135 63.64%
2724 x14517 63.64%
2724 x22542 63.64%
2724 x4269 63.64%
2724 x17690 63.64%
2724 x22852 63.64%
2724 x9000 63.64%
2724 x25302 63.64%
2724 x3103 63.64%
2724 x1599 63.64%
2724 x19457 63.64%
2724 x10986 63.64%
2724 x8707 63.64%
2724 x23164 63.64%
2724 x4763 63.64%
2724 x19646 63.64%
2724 x11810 63.64%
2724 x15759 63.64%
2724 x26609 63.64%
2724 x26537 63.64%
2724 x8745 63.64%
2724 x6287 63.64%
2724 x25960 63.64%
2724 x5063 63.64%
2724 x15597 63.64%
2724 x14758 63.64%
2724 x2834 63.64%
2724 x7849 63.64%
2724 x20148 63.64%
2724 x3727 63.64%
2724 x3951 63.64%
2724 x21654 63.64%
2724 x13708 63.64%
2724 x1350 63.64%
2724 x26606 63.64%
2724 x21163 63.64%
2724 x5850 63.64%
2724 x17958 63.64%
2724 x12891 63.64%
2724 x22368 63.64%
2724 x26313 63.64%
2724 x8262 63.64%
2724 x21966 63.64%
2724 x901 63.64%
2724 x28579 63.64%
2724 x8177 63.64%
2724 x770 63.64%
2724 x7296 63.64%
2724 x21761 63.64%
2724 x21418 63.64%
2724 x7647 63.64%
2724 x16714 63.64%
2724 x12827 63.64%
2724 x20011 63.64%
2724 x22725 63.64%
2724 x9464 63.64%
2724 x19110 63.64%
2724 x9924 63.64%
2724 x21426 63.64%
2724 x4779 63.64%
2724 x18708 63.64%
2724 x21086 63.64%
2724 x11564 63.64%
2724 x15527 63.64%
2724 x1633 63.64%
2724 x29389 63.64%
2724 x8402 63.64%
2724 x17085 63.64%
2724 x16832 63.64%
2724 x17336 63.64%
2724 x25383 63.64%
2724 x13664 63.64%
2724 x22746 63.64%
2724 x1693 63.64%
2724 x28720 63.64%
2724 x20753 63.64%
2724 x19560 63.64%
2724 x24060 63.64%
2724 x23707 63.64%
2724 x17548 63.64%
2724 x23181 63.64%
2724 x26994 63.64%
2724 x14784 63.64%
2724 x11152 63.64%
2724 x25758 63.64%
2724 x7931 63.64%
2724 x27957 63.64%
2724 x17778 63.64%
2724 x15861 63.64%
2724 x5926 63.64%
2724 x28122 63.64%
2724 x27359 63.64%
2724 x24229 63.64%
2724 x27185 63.64%
2724 x9639 63.64%
2724 x15306 63.64%
2724 x26349 63.64%
2724 x6712 63.64%
2724 x22902 63.64%
2724 x2703 63.64%
2724 x27889 63.64%
2724 x11067 63.64%
2724 x9465 63.64%
2724 x115 63.64%
2724 x22847 63.64%
2724 x28750 63.64%
2724 x15162 63.64%
2724 x7724 63.64%
2724 x10297 63.64%
2724 x10305 63.64%
2724 x9969 63.64%
2724 x18541 63.64%
2724 x7050 63.64%
2724 x14835 63.64%
2724 x19811 63.64%
2724 x330 63.64%
2724 x1245 63.64%
2724 x2022 63.64%
2724 x4169 63.64%
2724 x7859 63.64%
2724 x25430 63.64%
2724 x22784 63.64%
2724 x6770 63.64%
2724 x18255 63.64%
2724 x8861 63.64%
2724 x3063 63.64%
2724 x23476 63.64%
2724 x1635 63.64%
2724 x6517 63.64%
2724 x10193 63.64%
2724 x13606 63.64%
2724 x13447 63.64%
2724 x1050 63.64%
2724 x3595 63.64%
2724 x24527 63.64%
2724 x1502 63.64%
2724 x29077 63.64%
2724 x25704 63.64%
2724 x11007 63.64%
2724 x6213 63.64%
2724 x15960 63.64%
2724 x29213 63.64%
2724 x3655 63.64%
2724 x15750 63.64%
2724 x21467 63.64%
2724 x14739 63.64%
2724 x13806 63.64%
2724 x4325 63.64%
2724 x14355 63.64%
2724 x22710 63.64%
2724 x22519 63.64%
2724 x2129 63.64%
2724 x790 63.64%
2724 x26223 63.64%
2724 x14500 63.64%
2724 x21753 63.64%
2724 x2050 63.64%
2724 x22818 63.64%
2724 x2436 63.64%
2724 x8567 63.64%
2724 x2736 63.64%
2724 x16440 63.64%
2724 x25935 63.64%
2724 x12396 63.64%
2724 x14204 63.64%
2724 x9909 63.64%
2724 x6897 63.64%
2724 x9495 63.64%
2724 x23195 63.64%
2724 x12934 63.64%
2724 x20069 63.64%
2724 x23641 63.64%
2724 x19369 63.64%
2724 x6574 63.64%
2724 x2630 63.64%
2724 x10218 63.64%
2724 x4416 63.64%
2724 x3743 63.64%
2724 x5121 63.64%
2724 x5593 63.64%
2724 x2270 63.64%
2724 x26791 63.64%
2724 x3559 63.64%
2724 x19370 63.64%
2724 x5941 63.64%
2724 x26376 63.64%
2724 x4787 63.64%
2724 x9656 63.64%
2724 x28541 63.64%
2724 x10164 63.64%
2724 x13546 63.64%
2724 x17639 63.64%
2724 x7350 63.64%
2724 x29783 63.64%
2724 x11463 63.64%
2724 x9762 63.64%
2724 x14393 63.64%
2724 x24868 63.64%
2724 x27884 63.64%
2724 x25104 63.64%
2724 x12462 63.64%
2724 x24372 63.64%
2724 x25484 63.64%
2724 x9564 63.64%
2724 x3518 63.64%
2724 x28322 63.64%
2724 x19046 63.64%
2724 x2158 63.64%
2724 x5441 63.64%
2724 x3088 63.64%
2724 x2134 63.64%
2724 x28371 63.64%
2724 x2333 63.64%
2724 x29256 63.64%
2724 x9280 63.64%
2724 x1873 63.64%
2724 x1325 63.64%
2724 x13431 63.64%
2724 x22613 63.64%
2724 x28438 63.64%
2724 x6339 63.64%
2724 x27767 63.64%
2724 x23285 63.64%
2724 x21916 63.64%
2724 x3841 63.64%
2724 x3488 63.64%
2724 x11945 63.64%
2724 x7607 63.64%
2724 x11441 63.64%
2724 x3834 63.64%
2724 x28099 63.64%
2724 x18569 63.64%
2724 x13473 63.64%
2724 x18545 63.64%
2724 x21039 63.64%
2724 x23361 63.64%
2724 x2985 63.64%
2724 x1065 63.64%
2724 x333 63.64%
2724 x9494 63.64%
2724 x29127 63.64%
2724 x26678 63.64%
2724 x16388 63.64%
2724 x17773 63.64%
2724 x16595 63.64%
2724 x23120 63.64%
2724 x7260 63.64%
2724 x21129 63.64%
2724 x24927 63.64%
2724 x5870 63.64%
2724 x1035 63.64%
2724 x20156 63.64%
2724 x5268 63.64%
2724 x22678 63.64%
2724 x15228 63.64%
2724 x3148 63.64%
2724 x27210 63.64%
2724 x15219 63.64%
2724 x12654 63.64%
2724 x9186 63.64%
2724 x27315 63.64%
2724 x5973 63.64%
2724 x22413 63.64%
2724 x9124 63.64%
2724 x23176 63.64%
2724 x554 63.64%
2724 x28607 63.64%
2724 x28826 63.64%
2724 x579 63.64%
2724 x2506 63.64%
2724 x8386 63.64%
2724 x6998 63.64%
2724 x5445 63.64%
2724 x1897 63.64%
2724 x10988 63.64%
2724 x12832 63.64%
2724 x11181 63.64%
2724 x3781 63.64%
2724 x20345 63.64%
2724 x8322 63.64%
2724 x7645 63.64%
2724 x14529 63.64%
2724 x4546 63.64%
2724 x20407 63.64%
2724 x1262 63.64%
2724 x23717 63.64%
2724 x20077 63.64%
2724 x15754 63.64%
2724 x19347 63.64%
2724 x5067 63.64%
2724 x1640 63.64%
2724 x19330 63.64%
2724 x22663 63.64%
2724 x22807 63.64%
2724 x25884 63.64%
2724 x11376 63.64%
2724 x22411 63.64%
2724 x23834 63.64%
2724 x8780 63.64%
2724 x29542 63.64%
2724 x29233 63.64%
2724 x17580 63.64%
2724 x5474 63.64%
2724 x23987 63.64%
2724 x15605 63.64%
2724 x12087 63.64%
2724 x29608 63.64%
2724 x25200 63.64%
2724 x20230 63.64%
2724 x24008 63.64%
2724 x19431 63.64%
2724 x21719 63.64%
2724 x25165 63.64%
2724 x21072 63.64%
2724 x26036 63.64%
2724 x13194 63.64%
2724 x26364 63.64%
2724 x21924 63.64%
2724 x26487 63.64%
2724 x6610 63.64%
2724 x3503 63.64%
2724 x1568 63.64%
2724 x14451 63.64%
2724 x8445 63.64%
2724 x482 63.64%
2724 x11830 63.64%
2724 x1315 63.64%
2724 x11371 63.64%
2724 x27474 63.64%
2724 x25647 63.64%
2724 x19198 63.64%
2724 x10081 63.64%
2724 x22652 63.64%
2724 x28296 63.64%
2724 x7435 63.64%
2724 x24708 63.64%
2724 x8878 63.64%
2724 x25444 63.64%
2724 x19950 63.64%
2724 x26611 63.64%
2724 x6004 63.64%
2724 x422 63.64%
2724 x6792 63.64%
2724 x24814 63.64%
2724 x12822 63.64%
2724 x28430 63.64%
2724 x19773 63.64%
2724 x8756 63.64%
2724 x26995 63.64%
2724 x9313 63.64%
2724 x7467 63.64%
2724 x18267 63.64%
2724 x5793 63.64%
2724 x13302 63.64%
2724 x19589 63.64%
2724 x6722 63.64%
2724 x22437 63.64%
2724 x26726 63.64%
2724 x13091 63.64%
2724 x12383 63.64%
2724 x12752 63.64%
2724 x28674 63.64%
2724 x28012 63.64%
2724 x5046 63.64%
2724 x24968 63.64%
2724 x14660 63.64%
2724 x1522 63.64%
2724 x5029 63.64%
2724 x5979 63.64%
2724 x18486 63.64%
2724 x5877 63.64%
2724 x22050 63.64%
2724 x14018 63.64%
5142 x20036 59.09%
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5142 x25377 59.09%
5142 x7942 59.09%
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5142 x1832 59.09%
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5142 x6115 59.09%
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5142 x10370 59.09%
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5142 x23765 59.09%
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5142 x11217 59.09%
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5142 x25145 59.09%
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5142 x5542 59.09%
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5142 x16531 59.09%
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5142 x23918 59.09%
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5142 x13429 59.09%
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5142 x25084 59.09%
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5142 x5123 59.09%
5142 x9200 59.09%
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5142 x25342 59.09%
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5142 x27528 59.09%
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5142 x12439 59.09%
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5142 x21582 59.09%
5142 x12567 59.09%
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5142 x16712 59.09%
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5142 x13371 59.09%
5142 x5016 59.09%
5142 x3536 59.09%
5142 x14356 59.09%
5142 x18080 59.09%
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5142 x5538 59.09%
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5142 x9393 59.09%
5142 x6314 59.09%
5142 x21226 59.09%
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5142 x29181 59.09%
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5142 x10069 59.09%
5142 x3604 59.09%
5142 x19284 59.09%
5142 x7215 59.09%
5142 x3310 59.09%
5142 x8652 59.09%
5142 x26943 59.09%
5142 x8595 59.09%
5142 x26228 59.09%
5142 x9836 59.09%
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9390 x4200 50%
9390 x27677 50%
9390 x1097 50%
9390 x25280 50%
9390 x19180 50%
9390 x28035 50%
9390 x17928 50%
9390 x22931 50%
9390 x12067 50%
9390 x24673 50%
9390 x6652 50%
9390 x24207 50%
9390 x9741 50%
9390 x17250 50%
9390 x25142 50%
9390 x9979 50%
9390 x8515 50%
9390 x11867 50%
9390 x1705 50%
9390 x13728 50%
9390 x1353 50%
9390 x4898 50%
9390 x21373 50%
9390 x27868 50%
9390 x23363 50%
9390 x12416 50%
9390 x20182 50%
9390 x12810 50%
9390 x13204 50%
9390 x8504 50%
9390 x5856 50%
9390 x14103 50%
9390 x10404 50%
9390 x25265 50%
9390 x17026 50%
9390 x6691 50%
9390 x10466 50%
9390 x16870 50%
9390 x9428 50%
---
Chosen attribute due to accuracy
and ties method (if applicable): '*'
stopImplicitCluster()Debido a la lista larga se omitira la evaluacion, los valores correspondientes a los top 5 se encuentran en el siguiente chunk en “oner_col”
colnames(training)[length(training)] <- 'dx'
oner_col<-c("dx","x1046","x24198","x3994","x2190","x24215")
training<-training[,oner_col]
testing<-testing[,oner_col]set.seed(8000)
registerDoParallel(1)
getDoParWorkers()[1] 1
svm_Linear_Grid <- train(dx~., data = training,
method = "svmLinear",
trControl = trctrl,
tuneGrid = grid,
tuneLength = 30)
stopImplicitCluster()svm_Linear_Grid$finalModelSupport Vector Machine object of class "ksvm"
SV type: C-svc (classification)
parameter : cost C = 0.75
Linear (vanilla) kernel function.
Number of Support Vectors : 7
Objective Function Value : -1.9239
Training error : 0
El mejor modelo dado los datos y columnas de OneR tiene un costo C de 0.75
plot(svm_Linear_Grid)Se puede observar que el desempeño cambia bastante segun el costo C, donde 0.75 fue el mejor
test_pred_grid <- predict(svm_Linear_Grid, newdata = training)
m <- confusionMatrix(test_pred_grid,
factor(training$dx, levels = c('0','1')))$table
(mtraining <- m[2:1, 2:1]) Reference
Prediction 1 0
1 11 0
0 0 11
measures(mtraining)sensitivity specificity ppv npv fdr fpr
1 1 1 1 0 0
class_rate lift delta
1 2 0
El modelo tiene una prediccion del 100% sobre los datos del training, posiblemente pueda ser caso de sobreajuste
test_pred_grid <- predict(svm_Linear_Grid, newdata = testing)
m <- confusionMatrix(test_pred_grid,
factor(testing$dx, levels = c('0','1')))$table
(mtesting <- m[2:1, 2:1]) Reference
Prediction 1 0
1 3 0
0 1 4
measures(mtesting)sensitivity specificity ppv npv fdr fpr
0.750 1.000 1.000 0.800 0.000 0.000
class_rate lift delta
0.875 2.000 0.250
dado que el modelo tuvo un desempeño no tan igual al training se podria sospechar un poco de sobreajuste pero no se confirma dado la poca cantidad de datos. Se recomendaria hacer validacion de los 2 modelos con mas datos, teniendo en cuenta que la cantidad de lncRNAs seran mucho menor.
rft(mtraining, las = 1)$auc[1] 1
rft(mtesting, las = 1, add = TRUE, line.col = cols[2])$auc[1] 0.875
legend('bottomright', c('training', 'testing'), col = cols[1:2], lty = 1, bty = 'n')En este caso particular se encontro que los modelos de ML como lo es SVM, si logran capturar la naturaleza y la distincion entre el grupo de datos encontrados, en cambio modelos como la RL fallaron en ajustarse a los datos dados y por ende sus modelos no cumplian de validez y tenian malas predicciones. Se puede concluir que definitivamente usando SVM se puede lograr ajustar un modelo bastante bueno que ayudaria a predecir si la persona tiene o no la enfermedad. con el uso de pocas variables (pocos lnRNAs), lo cual en practica haria un cambio bastante significativo en cuanto al costo de la prueba necesaria para extraer la informacion, debido a que solo se estaria analizando unos pocos LncRNAs.
Por otro lado se pudo observar que ambos modelos de SVM tienen muy buen desempeño tanto para el training como para el testing, dicho esto se termina de optar por la escogencia de los lncRNAs escogidos por OneR, esto debido a que en para los datos del training tuvieron un desempeño un poco mayor que el predecesor.
P8
Construya una función que, a partir de los niveles de expresión de lncRNAs en una persona, determine el diagnóstico de EA. Si \(\mathbf{x}_0\) representa el vector de dichos niveles de expresión, entonces:
usethis::create_package("mangoconsyp")
dir.create("mangoconsyp/data", showWarnings = FALSE)
saveRDS(svm_Linear_Grid, "mangoconsyp/data/alzheimer.rds")
devtools::document("mangoconsyp")
devtools::install("mangoconsyp")Se creo un paquete con el modelo de prediccion y una funcion alzheimer para la prediccion, donde solo basta con cargar la libreria llamar la funcion alzheimir e introducir un vector con los datos de los lncRNAs: x1046 x24198 x3994 x2190 x24215
devtools::install("mangoconsyp")
library(mangoconsyp)
a<-training[2,2:6]
r<-alzheimer(a)
rdebería reportar 1 si la persona es diagnosticada con EA, y 0 en otro caso. Por supuesto, la función alzheimer no debe ser fácilmente descifrable.