1 Objetivo

Determinar predicciones de datos bajo el modelo de regresión lineal simple.

2 Descripción

De un conjunto de datos con dos variables (bivariable) en donde una de ellas es \(X\) variable independiente y otra de ellas \(Y\) variable dependiente, predecir el valor de Y conforme la historia de X.

3 Fundamento teórico

3.1 Coeficiente de Correlación \(r\)

La utilidad principal de los análisis correlacionales es saber cómo se puede comportar un concepto o una variable al conocer el comportamiento de otras variables vinculadas, por ejemplo: a mayor estudio mejor rendimiento; a mayor cantidad de sol mayor temperatura de ambiente; a mayor frecuencia de actividad social mayor porcentaje de contagios, entre muchos otros (Hernández Sampieri, Fernández Collado, and Baptista Lucio 2014).

La importancia de la correlación es conocer el grdo de relación entre variables y ayuda a las técnicas de predicción, es decir, intentar predecir el valor aproximado que tendrá un grupo de individuos o casos en una variable, a partir del valor que poseen en las variables relacionadas (Hernández Sampieri, Fernández Collado, and Baptista Lucio 2014).

La correlacion puede ser positiva o negativa de entre \(-1\) a \(1\) y significa que el coeficiente r de Pearson puede variar de −1.00 a +1.00, donde:

−1.00 = correlación negativa perfecta. (“A mayor X, menor Y,” de manera proporcional. Es decir, cada vez que X aumenta una unidad, Y disminuye siempre una cantidad constante). Esto también se aplica “a menor X, mayor Y.”

  • −0.90 = Correlación negativa muy fuerte.
  • −0.75 = Correlación negativa considerable.
  • −0.50 = Correlación negativa media.
  • −0.25 = Correlación negativa débil.
  • −0.10 = Correlación neg ativa muy débil.
  • 0.00 = No existe correlación alguna entre las variables.
  • +0.10 = Correlación positiva muy débil.
  • +0.25 = Correlación positiva débil.
  • +0.50 = Correlación positiva media.
  • +0.75 = Correlación positiva considerable.
  • +0.90 = Correlación positiva muy fuerte.
  • +1.00 = Correlación positiva perfecta (“A mayor X, mayor Y” o “a menor X, menor Y,” de manera proporcional. Cada vez que X aumenta, Y aumenta siempre una cantidad constante).

El signo indica la dirección de la correlación (positiva o negativa); y el valor numérico, la magnitud de la correlación (Hernández Sampieri, Fernández Collado, and Baptista Lucio 2014).

Por otra parte (Walpole, Myers, and Myers 2012), menciona que el análisis de correlación intenta medir la intensidad de tales relaciones entre dos variables por medio de un solo número denominado coeficiente de correlación.

Para determinar el coeficiente de correlación de Pearson de una muestra se utiliza la siguiente fórmula:

3.1.1 Fórmula para correlación de Pearson

\[r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})\cdot(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - \bar{x})^{2}\cdot\sum_{i=1}^{n}(y_i - \bar{y})^{2}}}\]

Siendo \(r\) el valor del coeficiente de correlación. La correlación de Pearson funciona bien con variables cuantitativas que tienen una distribución normal. (Amat Rodrigo 2016)

La idea básica del análisis de correlación es identificar la asociación entre dos variables; por lo general, se puede describir la relación graficando o elaborando un diagrama de dispersión entre \(x\) y \(y\).

3.2 Regresión lineal simple

La regresión lineal simple implica aplicar una ecuación matemática de mínimos cuadrados que permite pronosticar o predecir el valor de una variable con base en el valor de otra; este procedimiento se llama análisis de regresión.

El análisis de regresión es un método para examinar una relación lineal entre dos variables; se utiliza el concepto de correlación \(r\), sin embargo, la regresión proporciona mucho más información, además de permitir estimaciones o predicciones de la relación lineal con la ecuación de mínimos cuadrados (Lind, Marchal, and Wathen 2015).

3.3 Fórmula de mínimo cuadrados para regresión lineal

\[Y = a + bx\]

En donde:

  • \(Y\) es el valor a predecir
  • \(a\) Es el valor del cruce del eje y
  • \(b\) Es el valor de la pendiente o inclinación.
  • \(x\) el valor de la variable independiente
3.3.0.0.1 Fórmulas par obtener coeficientes a y b en el método de mínimos cuadrados

\[b = r \cdot(\frac{ s_{y}}{s_x}) = \frac{\sum(x_i - \bar{x})\cdot(y_i - \bar{y})}{\sum(x_i-\bar{x})^2}\] En donde:

  • \(r\) es el coeficiente de correlación.

  • \(S_y\) es la desviación estándar de \(y\).

  • \(S_x\) es la desviación etándar de la variable \(x\).

Y para determinar a:

\[a = \bar{y} - b \cdot\bar{x}\]

  • Se requiere la media de y \(\bar{y}\)
  • Se necesita la media de x \(\bar{x}\)

(Lind, Marchal, and Wathen 2015).

Un valor que es importante destacar en la regresión lineal, es el coeficiente de determinación también representado por \(r^{2}\) que se puede sacar elevando al cuadrado el coeficiente de correlación previamente determinado.

Cuando el coeficiente \(r\) de Pearson se eleva al cuadrado \(r^{2}\), se obtiene el coeficiente de determinación y el resultado indica la variabilidad de factores comunes. Esto es, el porcentaje de la variación de una variable debido a la variación de la otra variable y viceversa (o cuánto explica o determina una variable la variación de la otra) (Hernández Sampieri, Fernández Collado, and Baptista Lucio 2014).

El coeficiente de determinación es la proporción y la explicación de la variación total de la variable dependiente \(y\) con respecto a la variable independiente \(x\). (Lind, Marchal, and Wathen 2015).

4 Desarrollo

4.1 Las librerías

library(dplyr)
library(mosaic)
library(readr)
library(ggplot2)  # Para gráficos
library(knitr)    # Para formateo de datos

4.2 Ejercicio llamadas y ventas

4.2.1 Cargar los datos

Datos de llamadas que hacen vendedores y las ventas que realizan.

vendedores <- paste("V",1:15, sep="")
llamadas <- c(96, 40, 104, 128, 164, 76, 72, 80 , 36, 84, 180, 132, 120, 44, 84) 
ventas <- c(41, 41, 51, 60, 61, 29, 39, 50, 28, 43, 70, 56, 45, 31, 30)

datos <- data.frame(vendedores, llamadas, ventas)
datos
##    vendedores llamadas ventas
## 1          V1       96     41
## 2          V2       40     41
## 3          V3      104     51
## 4          V4      128     60
## 5          V5      164     61
## 6          V6       76     29
## 7          V7       72     39
## 8          V8       80     50
## 9          V9       36     28
## 10        V10       84     43
## 11        V11      180     70
## 12        V12      132     56
## 13        V13      120     45
## 14        V14       44     31
## 15        V15       84     30

4.2.2 Valor de correlación entre las variables

  • Se determina la correlación de Pearson con la función cor(x,y) que establece el grado de relación entre dos variables; ‘x’ son los llamadas y ‘y’ las ventas.
r <- cor(datos$llamadas, datos$ventas)
r
## [1] 0.8646318

4.2.3 Gráfica de dispersión

ggplot(data = datos, aes(x = llamadas, y = ventas)) +
  geom_point(colour = 'blue')

4.2.4 Generar el modelo regresión lineal \(Y = a + bx\)

  • Determinar los coeficientes a y b por medio de la función lineal lm()
  • El caracter ‘~’ en la fórmula de la función lm() de regresión se interpreta como que la variable ‘y’ está en función de la variable ‘x.’
modelo <- lm(data = datos, formula = ventas~llamadas)

modelo
## 
## Call:
## lm(formula = ventas ~ llamadas, data = datos)
## 
## Coefficients:
## (Intercept)     llamadas  
##     19.9800       0.2606

4.2.5 Encontrar el coeficiente de determinación

  • Elevando al cuadrado el coeficiente de correlación. \[r^{2}\]
summary(modelo)
## 
## Call:
## lm(formula = ventas ~ llamadas, data = datos)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -11.873  -2.861   0.255   3.511  10.595 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  19.9800     4.3897   4.552 0.000544 ***
## llamadas      0.2606     0.0420   6.205 3.19e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.72 on 13 degrees of freedom
## Multiple R-squared:  0.7476, Adjusted R-squared:  0.7282 
## F-statistic:  38.5 on 1 and 13 DF,  p-value: 3.193e-05
paste("El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación: ", r^2)
## [1] "El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación:  0.747588134135855"
  • El coeficiente de determinación \(r^{2}\) con valor de 0.7476 significa que el valor de llamadas representa y explica el 74.76 % de las ventas.

4.2.6 Determinar los valores de a y b

a <- modelo$coefficients[1]
b <- modelo$coefficients[2]
a ; b
## (Intercept) 
##       19.98
## llamadas 
## 0.260625

4.2.7 Medias de las variables

mean(datos$llamadas)
## [1] 96
mean(datos$ventas)
## [1] 45

4.2.8 Gráfica de tendencia

ggplot() + 
  geom_point(data = datos, aes(x = llamadas, y = ventas), colour='blue') +
  geom_point(aes(x= mean(datos$llamadas), y = mean(datos$ventas)), col = 'green') +
  geom_line(aes( x = datos$llamadas, y = predict(modelo, datos)), color = "red") +
  xlab("Llamadas") + 
  ylab("Ventas") + 
  ggtitle("Linea de tendencia sobre Conjunto de Datos")

4.2.9 Predecir conforme al modelo

  • Para predecir se puede usar la ecuación \(y=a+bx\) o utilizar la función predict()
  • Predecir para valores 100, 130 y 160
x <- c(100, 130, 160)

prediccion <- predict(object = modelo, newdata = data.frame(llamadas = x))
prediccion
##        1        2        3 
## 46.04250 53.86125 61.68000
# Comprobar
y = a + b * x
y
## [1] 46.04250 53.86125 61.68000

4.2.10 Interpretar el ejercicio

  • Se utilizó la función lm() para crear el modelo de regresión lineal y determinar los coeficientes de \(a\) y \(b\).
  • Se utilizó la función predict() para predecir nuevos valores de x o ventas.
  • Se comprobó las predicciones
  • Para un valor de 170 el valor de la predicción es 64.28 en ventas

4.3 Ejercicio ventas en función de comerciales

img

4.3.1 Cargar o generar los datos

De un conjunto de datos para una empresa que invierte dinero en comerciales se tienen un historial de ventas de doce semanas.

semanas <- c(1:12)
comerciales <- c(2,5,1,3,4,1,5,3,4,2,3,2)
ventas <- c(50,57,41,54,54,38,63,48,59,46, 45, 48 )

datos <- data.frame(semanas,comerciales,ventas)
kable(datos, caption = "Ventas en función de inversión en comerciales")
Ventas en función de inversión en comerciales
semanas comerciales ventas
1 2 50
2 5 57
3 1 41
4 3 54
5 4 54
6 1 38
7 5 63
8 3 48
9 4 59
10 2 46
11 3 45
12 2 48

4.3.2 Valor de correlación entre las variables

  • Se determina la correlación de Pearson con la función cor(x,y) que establece el grado de relación entre dos variables; ‘x’ son los comerciales y ‘y’ las ventas.
r <- cor(datos$comerciales, datos$ventas)
r
## [1] 0.9006177

4.3.3 Gráfica de dispersión

ggplot(data = datos, aes(x = comerciales, y = ventas)) +
  geom_point(colour = 'blue')

4.3.4 Generar el modelo regresión lineal \(Y = a + bx\)

  • Determinar los coeficientes a y b por medio de la función lineal lm()
  • El caracter ‘~’ en la fórmula de la función lm() de regresión se interpreta como que la variable ‘y’ está en función de la variable ‘x.’
modelo <- lm(data = datos, formula = ventas~comerciales)

modelo
## 
## Call:
## lm(formula = ventas ~ comerciales, data = datos)
## 
## Coefficients:
## (Intercept)  comerciales  
##      36.131        4.841

4.3.5 Encontrar el coeficiente de determinación

  • Elevando al cuadrado el coeficiente de correlación. \[r^{2}\]
summary(modelo)
## 
## Call:
## lm(formula = ventas ~ comerciales, data = datos)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.6534 -2.7331  0.1076  2.8357  4.1873 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  36.1315     2.3650  15.278 2.93e-08 ***
## comerciales   4.8406     0.7387   6.553 6.45e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.378 on 10 degrees of freedom
## Multiple R-squared:  0.8111, Adjusted R-squared:  0.7922 
## F-statistic: 42.94 on 1 and 10 DF,  p-value: 6.449e-05
paste("El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación: ", r^2)
## [1] "El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación:  0.811112191696598"
  • El coeficiente de determinación \(r^{2}\) con valor de 0.8111 significa que el valor de comerciales representa el 81.11 % de las ventas.

4.3.6 Determinar los valores de a y b

a <- modelo$coefficients[1]
b <- modelo$coefficients[2]
a ; b
## (Intercept) 
##    36.13147
## comerciales 
##    4.840637

4.3.7 Medias de las variables

mean(datos$comerciales)
## [1] 2.916667
mean(datos$ventas)
## [1] 50.25

4.3.8 Gráfica de tendencia

ggplot() + 
  geom_point(data = datos, aes(x = comerciales, y = ventas), colour='blue') +
  geom_point(aes(x= mean(datos$comerciales), y = mean(datos$ventas)), col = 'green') +
  geom_line(aes( x = datos$comerciales, y = predict(modelo, datos)), color = "red") +
  xlab("Comerciales") + 
  ylab("Ventas") + 
  ggtitle("Linea de tendencia sobre Conjunto de Datos")

4.3.9 Predecir conforme al modelo

  • Para predecir se puede usar la ecuación \(y=a+bx\) o utilizar la función predict()
  • Predecir para valores 4, 3.5, 2, 0 y 1
x <- c(4, 3.5, 2, 0,1)

prediccion <- predict(object = modelo, newdata = data.frame(comerciales = x))
prediccion
##        1        2        3        4        5 
## 55.49402 53.07371 45.81275 36.13147 40.97211
# Comprobar
y = a + b * x
y
## [1] 55.49402 53.07371 45.81275 36.13147 40.97211

4.3.10 Interpretar el ejercicio

  • Se utilizó la función lm() para crear el modelo de regresión lineal y determinar los coeficientes de a y b.
  • Se utilizó la función predict() para predecir nuevos valores de x o comerciales.
  • Se comprobó las predicciones
  • Por ejemplo para un valor de 4 en comerciales la predicción de ventas es de 55.99.

4.4 Ejercicio. Medidas de los sólidos contaminantes y la demanda de oxígeno bioquímico.

img

Uno de los problemas más desafiantes que se enfrentan en el área del control de la contaminación del agua lo representa la industria de la peletería (dedicada a la elaboración de indumentaria, cuero y piel animal).

Los desechos de ésta tienen una complejidad química. Se caracterizan por valores elevados de demanda de oxígeno bioquímico, sólidos volátiles y otras medidas de la contaminación. (Walpole et al. 2007)

Tal vez si existen contaminantes sólidos se requiera mayor oxígeno bioquímico.

4.4.1 Cargar o generar los datos

seq <- c(1:33)
solido <- c(3,7,11,15,18,27,29,30,30,31,31,32,33,33,34,36,36,36,37,38,39,39,39,40,41,42,42,43,44,45,46,47,50)
oxigeno <- c(5,11,21,16,16,28,27,25,35,30,40,32,34,32,34,37,38,34,36,38,37,36,45,39,41,40,44,37,44,46,46,49,51 )

datos <- data.frame(seq,solido,oxigeno)
kable(datos, caption = "Contaminante oxígeno en función de sólidos contaminantes")
Contaminante oxígeno en función de sólidos contaminantes
seq solido oxigeno
1 3 5
2 7 11
3 11 21
4 15 16
5 18 16
6 27 28
7 29 27
8 30 25
9 30 35
10 31 30
11 31 40
12 32 32
13 33 34
14 33 32
15 34 34
16 36 37
17 36 38
18 36 34
19 37 36
20 38 38
21 39 37
22 39 36
23 39 45
24 40 39
25 41 41
26 42 40
27 42 44
28 43 37
29 44 44
30 45 46
31 46 46
32 47 49
33 50 51

4.4.2 Valor de correlación entre las variables

  • Se determina la correlación de Pearson con la función cor(x,y) que establece el grado de relación entre dos variables; ‘x’ son los valores de sólido y ‘y’ el porcentaje de oxígeno.
r <- cor(datos$solido, datos$oxigeno)
r
## [1] 0.9554794

4.4.3 Gráfica de dispersión

ggplot(data = datos, aes(x = solido, y = oxigeno)) +
  geom_point(colour = 'blue')

4.4.4 Generar el modelo regresión lineal \(Y = a + bx\)

  • Determinar los coeficientes a y b por medio de la función lineal lm()
  • El caracter ‘~’ en la fórmula de la función lm() de regresión se interpreta como que la variable ‘y’ está en función de la variable ‘x.’
modelo <- lm(data = datos, formula = oxigeno~solido)

modelo
## 
## Call:
## lm(formula = oxigeno ~ solido, data = datos)
## 
## Coefficients:
## (Intercept)       solido  
##      3.8296       0.9036

4.4.5 Encontrar el coeficiente de determinación \(r^{2}\)

summary(modelo)
## 
## Call:
## lm(formula = oxigeno ~ solido, data = datos)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -5.939 -1.783 -0.228  1.506  8.157 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  3.82963    1.76845   2.166   0.0382 *  
## solido       0.90364    0.05012  18.030   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.23 on 31 degrees of freedom
## Multiple R-squared:  0.9129, Adjusted R-squared:  0.9101 
## F-statistic: 325.1 on 1 and 31 DF,  p-value: < 2.2e-16
paste("El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación :", r^2)
## [1] "El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación : 0.912940801014387"
  • El coeficiente de determinación \(r^{2}\) con valor de 0.9129 significa que el valor de solido representa el 91.29 % del oxígeno.

4.4.6 Determinar los valores de a y b

a <- modelo$coefficients[1]
b <- modelo$coefficients[2]
a ; b
## (Intercept) 
##    3.829633
##    solido 
## 0.9036432

4.4.7 Medias de las variables

mean(datos$solido)
## [1] 33.45455
mean(datos$oxigeno)
## [1] 34.06061

4.4.8 Gráfica de tendencia

ggplot() + 
  geom_point(data = datos, aes(x = solido, y = oxigeno), colour='blue') +
  geom_point(aes(x= mean(datos$solido), y = mean(datos$oxigeno)), col = 'green') +
  geom_line(aes( x = datos$solido, y = predict(modelo, datos)), color = "red") +
  xlab("Reducción de sólido") + 
  ylab("% Oxígeno") + 
  ggtitle("Linea de tendencia sobre Conjunto de Datos")

4.4.9 Predecir conforme al modelo

  • Para predecir se puede usar la ecuación \(y=a+bx\) o utilizar la función predict()
  • Predecir para valores \(x=15,20,35,40,50\)
x <- c(15,20,35,40,50)

prediccion <- predict(object = modelo, newdata = data.frame(solido = x))
prediccion
##        1        2        3        4        5 
## 17.38428 21.90250 35.45715 39.97536 49.01179
# Comprobar
y = a + b * x
y
## [1] 17.38428 21.90250 35.45715 39.97536 49.01179

4.4.10 Interpretar el ejercicio

Pendiente..

4.5 Ejercicio Caso de mediciones del cuerpo humano (Peso y Estatura)

img

Mediciones del cuerpo humano en donde se buscar identificar el coeficiente de correlación \(r\), el coeficiente de determinación \(r^2\) y el modelo de regresión lineal para predecir peso en relación a la estatura de una persona.

4.5.1 Cargar los datos

  • La variable x independiente será la estatura
  • La variable y dependiente será la peso
datos <- read.table("https://raw.githubusercontent.com/rpizarrog/probabilidad-y-estad-stica/master/datos/body.dat.txt", quote="\"", comment.char="")

datos <- as.data.frame(datos)

4.5.1.1 Estructura de los datos

Son 507 observaciones y 25 variables. Se identifican todas las variables de datos. Las variables de interés son las variables numéricas (columnas 23 y 24) y la columna 25 de género solo para ubicar género Masculino (1) o Femenino (2).

str(datos)
## 'data.frame':    507 obs. of  25 variables:
##  $ V1 : num  42.9 43.7 40.1 44.3 42.5 43.3 43.5 44.4 43.5 42 ...
##  $ V2 : num  26 28.5 28.2 29.9 29.9 27 30 29.8 26.5 28 ...
##  $ V3 : num  31.5 33.5 33.3 34 34 31.5 34 33.2 32.1 34 ...
##  $ V4 : num  17.7 16.9 20.9 18.4 21.5 19.6 21.9 21.8 15.5 22.5 ...
##  $ V5 : num  28 30.8 31.7 28.2 29.4 31.3 31.7 28.8 27.5 28 ...
##  $ V6 : num  13.1 14 13.9 13.9 15.2 14 16.1 15.1 14.1 15.6 ...
##  $ V7 : num  10.4 11.8 10.9 11.2 11.6 11.5 12.5 11.9 11.2 12 ...
##  $ V8 : num  18.8 20.6 19.7 20.9 20.7 18.8 20.8 21 18.9 21.1 ...
##  $ V9 : num  14.1 15.1 14.1 15 14.9 13.9 15.6 14.6 13.2 15 ...
##  $ V10: num  106 110 115 104 108 ...
##  $ V11: num  89.5 97 97.5 97 97.5 ...
##  $ V12: num  71.5 79 83.2 77.8 80 82.5 82 76.8 68.5 77.5 ...
##  $ V13: num  74.5 86.5 82.9 78.8 82.5 80.1 84 80.5 69 81.5 ...
##  $ V14: num  93.5 94.8 95 94 98.5 95.3 101 98 89.5 99.8 ...
##  $ V15: num  51.5 51.5 57.3 53 55.4 57.5 60.9 56 50 59.8 ...
##  $ V16: num  32.5 34.4 33.4 31 32 33 42.4 34.1 33 36.5 ...
##  $ V17: num  26 28 28.8 26.2 28.4 28 32.3 28 26 29.2 ...
##  $ V18: num  34.5 36.5 37 37 37.7 36.6 40.1 39.2 35.5 38.3 ...
##  $ V19: num  36.5 37.5 37.3 34.8 38.6 36.1 40.3 36.7 35 38.6 ...
##  $ V20: num  23.5 24.5 21.9 23 24.4 23.5 23.6 22.5 22 22.2 ...
##  $ V21: num  16.5 17 16.9 16.6 18 16.9 18.8 18 16.5 16.9 ...
##  $ V22: num  21 23 28 23 22 21 26 27 23 21 ...
##  $ V23: num  65.6 71.8 80.7 72.6 78.8 74.8 86.4 78.4 62 81.6 ...
##  $ V24: num  174 175 194 186 187 ...
##  $ V25: int  1 1 1 1 1 1 1 1 1 1 ...

4.5.1.2 Selección de variables de interés

Se seleccionan las columnas que tienen valores de peso en kilogramso y estaturas en centímetros de personas así como el género, Se muestran los primeros 10 y últimos 10 registros.

colnames(datos)[23:25] <- c("peso", "estatura", "genero")

# Solo interesan las tres últimas columnas
datos <- select(datos, estatura, peso, genero)

kable(head(datos, 10), caption = "Datos de pesos y estaturas de personas")
Datos de pesos y estaturas de personas
estatura peso genero
174.0 65.6 1
175.3 71.8 1
193.5 80.7 1
186.5 72.6 1
187.2 78.8 1
181.5 74.8 1
184.0 86.4 1
184.5 78.4 1
175.0 62.0 1
184.0 81.6 1
kable(tail(datos, 10), caption = "Datos de pesos y estaturas de personas")
Datos de pesos y estaturas de personas
estatura peso genero
498 169.5 67.3 0
499 160.0 75.5 0
500 172.7 68.2 0
501 162.6 61.4 0
502 157.5 76.8 0
503 176.5 71.8 0
504 164.4 55.5 0
505 160.7 48.6 0
506 174.0 66.4 0
507 163.8 67.3 0

4.5.2 Valor de correlación entre las variables

  • Se determina la correlación de Pearson con la función cor(x,y) que establece el grado de relación entre dos variables; \(x\) estatura y \(y\) peso de una persona.
r <- cor(datos$estatura, datos$peso)
r
## [1] 0.7173011
  • El coeficiente de correlación con valor de 0.7173011 significa el grado de relación entre las variables y su valor se interpreta siendo \(0.50 \le r \le 0.75\) una correlación positiva de media a considerable (Hernández Sampieri, Fernández Collado, and Baptista Lucio 2014).

4.5.3 Gráfica de dispersión

ggplot(data = datos, aes(x = estatura, y = peso)) +
  geom_point(colour = 'blue')

4.5.4 Generar el modelo regresión lineal \(Y = a + bx\)

  • Determinar los coeficientes a y b por medio de la función lineal lm()
  • El caracter ‘~’ en la fórmula de la función lm() de regresión se interpreta como que la variable ‘y’ está en función de la variable ‘x.’
modelo <- lm(data = datos, formula = peso~estatura)

modelo
## 
## Call:
## lm(formula = peso ~ estatura, data = datos)
## 
## Coefficients:
## (Intercept)     estatura  
##    -105.011        1.018

4.5.5 Encontrar el coeficiente de determinación \(r^{2}\)

summary(modelo)
## 
## Call:
## lm(formula = peso ~ estatura, data = datos)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -18.743  -6.402  -1.231   5.059  41.103 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -105.01125    7.53941  -13.93   <2e-16 ***
## estatura       1.01762    0.04399   23.14   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 9.308 on 505 degrees of freedom
## Multiple R-squared:  0.5145, Adjusted R-squared:  0.5136 
## F-statistic: 535.2 on 1 and 505 DF,  p-value: < 2.2e-16
paste("El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación :", r^2)
## [1] "El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación : 0.514520837538849"
  • El coeficiente de determinación \(r^{2}\) con valor de 0.5145 significa que el valor de la estatura de una persona representa el 51.45 % del peso de la misma.

4.5.6 Determinar los valores de a y b

a <- modelo$coefficients[1]
b <- modelo$coefficients[2]
a ; b
## (Intercept) 
##   -105.0113
## estatura 
## 1.017617

4.5.7 Medias de las variables

mean(datos$estatura)
## [1] 171.1438
mean(datos$peso)
## [1] 69.14753

4.5.8 Gráfica de tendencia

ggplot() + 
  geom_point(data = datos, aes(x = estatura, y = peso), colour='blue') +
  geom_point(aes(x= mean(datos$estatura), y = mean(datos$peso)), col = 'green') +
  geom_line(aes( x = datos$estatura, y = predict(modelo, datos)), color = "red") +
  xlab("Estatura") + 
  ylab("Peso") + 
  ggtitle("Linea de tendencia sobre Conjunto de Datos")

4.5.9 Predecir conforme al modelo

  • Para predecir se puede usar la ecuación \(y=a+bx\) o utilizar la función predict()
  • Predecir para valores \(x = {150, 160, 170, 175, 185, 190}\)
x <- c(150, 160, 170, 175, 185, 190)

prediccion <- predict(object = modelo, newdata = data.frame(estatura = x))
prediccion
##        1        2        3        4        5        6 
## 47.63126 57.80743 67.98360 73.07168 83.24785 88.33593
# Comprobar
y = a + b * x
y
## [1] 47.63126 57.80743 67.98360 73.07168 83.24785 88.33593

4.5.10 Interpretar el ejercicio

Conforme a los datos obtenido de una muestra de mediciones del cuerpo humano en relación las variables independiente estatura y la variable dependiente el peso. Se concluye lo siguiente:

El valor de la correlación entre las variables estatura y peso es de 0.7173011 que significa y se interpreta como una correlación positiva considerable.

El valor del coeficiente determinación \(r^{2}\) significa que el valor de la estatura de una persona representa el 51.45 % del peso de la misma.

Por cada unidad de estatura en una persona el peso varía en funcíón de 1.0176168

Para una persona que mide 170 centímetros la prediccón de peso es de 67.9835977

Para una persona que mide 185 centímetros la predicción de peso es de 83.2478493

4.6 Ejercicio extra con los datos del caso 22 y 23

img

4.6.1 Cargar o construir los datos

datosNew <- read.csv("https://raw.githubusercontent.com/rpizarrog/probabilidad-y-estad-stica/master/Enero%20Junio%202022/datos/players_20.csv", stringsAsFactors = TRUE, encoding = "UTF-8")

str(datosNew)
## 'data.frame':    18278 obs. of  104 variables:
##  $ sofifa_id                 : int  158023 20801 190871 200389 183277 192985 192448 203376 177003 209331 ...
##  $ player_url                : Factor w/ 18278 levels "https://sofifa.com/player/101317/michael-ratajczak/20/159586",..: 397 5124 2497 3676 1537 2765 2674 4267 1088 5356 ...
##  $ short_name                : Factor w/ 17354 levels "�. Blănaru","�. Fara",..: 9773 3210 12708 7904 4505 8745 11813 16600 9783 11648 ...
##  $ long_name                 : Factor w/ 18218 levels "A. Benjamin Chiamuloira Paes",..: 9904 3292 12557 7429 4443 9253 10682 16632 10336 12149 ...
##  $ age                       : int  32 34 27 26 28 28 27 27 33 27 ...
##  $ dob                       : Factor w/ 6142 levels "01/01/1983","01/01/1984",..: 4738 833 840 1230 1228 5551 5888 1539 1779 2945 ...
##  $ height_cm                 : int  170 187 175 188 175 181 187 193 172 175 ...
##  $ weight_kg                 : int  72 83 68 87 74 70 85 92 66 71 ...
##  $ nationality               : Factor w/ 162 levels "Afghanistan",..: 6 122 19 135 13 13 58 109 35 44 ...
##  $ club                      : Factor w/ 698 levels " SSV Jahn Regensburg",..: 228 353 463 64 507 401 228 389 507 389 ...
##  $ overall                   : int  94 93 92 91 91 91 90 90 90 90 ...
##  $ potential                 : int  94 93 92 93 91 91 93 91 90 90 ...
##  $ value_eur                 : int  95500000 58500000 105500000 77500000 90000000 90000000 67500000 78000000 45000000 80500000 ...
##  $ wage_eur                  : int  565000 405000 290000 125000 470000 370000 250000 200000 340000 240000 ...
##  $ player_positions          : Factor w/ 643 levels "CAM","CAM, CDM",..: 545 621 345 227 351 12 227 56 156 575 ...
##  $ preferred_foot            : Factor w/ 2 levels "Left","Right": 1 2 2 2 2 2 2 2 2 1 ...
##  $ international_reputation  : int  5 5 5 3 4 4 3 3 4 3 ...
##  $ weak_foot                 : int  4 4 5 3 4 5 4 3 4 3 ...
##  $ skill_moves               : int  4 5 5 1 4 4 1 2 4 4 ...
##  $ work_rate                 : Factor w/ 9 levels "High/High","High/Low",..: 8 2 3 9 3 1 9 9 1 3 ...
##  $ body_type                 : Factor w/ 10 levels "Akinfenwa","C. Ronaldo",..: 5 2 6 7 7 7 7 7 4 8 ...
##  $ real_face                 : Factor w/ 2 levels "No","Yes": 2 2 2 2 2 2 2 2 2 2 ...
##  $ release_clause_eur        : int  195800000 96500000 195200000 164700000 184500000 166500000 143400000 150200000 92300000 148900000 ...
##  $ player_tags               : Factor w/ 84 levels "","#Acrobat",..: 27 74 75 1 72 38 1 83 35 73 ...
##  $ team_position             : Factor w/ 30 levels "","CAM","CB",..: 27 16 2 7 16 21 7 10 21 27 ...
##  $ team_jersey_number        : int  10 7 10 13 7 17 1 4 10 11 ...
##  $ loaned_from               : Factor w/ 317 levels "","1. FC Heidenheim 1846",..: 1 1 1 1 1 1 1 1 1 1 ...
##  $ joined                    : Factor w/ 1761 levels "","01/01/1998",..: 73 639 245 969 88 1705 83 19 97 86 ...
##  $ contract_valid_until      : int  2021 2022 2022 2023 2024 2023 2022 2023 2020 2023 ...
##  $ nation_position           : Factor w/ 27 levels "","CAM","CB",..: 1 14 15 7 12 19 27 9 1 24 ...
##  $ nation_jersey_number      : int  NA 7 10 1 10 7 22 4 NA 10 ...
##  $ pace                      : int  87 90 91 NA 91 76 NA 77 74 93 ...
##  $ shooting                  : int  92 93 85 NA 83 86 NA 60 76 86 ...
##  $ passing                   : int  92 82 87 NA 86 92 NA 70 89 81 ...
##  $ dribbling                 : int  96 89 95 NA 94 86 NA 71 89 89 ...
##  $ defending                 : int  39 35 32 NA 35 61 NA 90 72 45 ...
##  $ physic                    : int  66 78 58 NA 66 78 NA 86 66 74 ...
##  $ gk_diving                 : int  NA NA NA 87 NA NA 88 NA NA NA ...
##  $ gk_handling               : int  NA NA NA 92 NA NA 85 NA NA NA ...
##  $ gk_kicking                : int  NA NA NA 78 NA NA 88 NA NA NA ...
##  $ gk_reflexes               : int  NA NA NA 89 NA NA 90 NA NA NA ...
##  $ gk_speed                  : int  NA NA NA 52 NA NA 45 NA NA NA ...
##  $ gk_positioning            : int  NA NA NA 90 NA NA 88 NA NA NA ...
##  $ player_traits             : Factor w/ 922 levels "","Acrobatic Clearance",..: 112 687 787 334 165 718 920 203 19 113 ...
##  $ attacking_crossing        : int  88 84 87 13 81 93 18 53 86 79 ...
##  $ attacking_finishing       : int  95 94 87 11 84 82 14 52 72 90 ...
##  $ attacking_heading_accuracy: int  70 89 62 15 61 55 11 86 55 59 ...
##  $ attacking_short_passing   : int  92 83 87 43 89 92 61 78 92 84 ...
##  $ attacking_volleys         : int  88 87 87 13 83 82 14 45 76 79 ...
##  $ skill_dribbling           : int  97 89 96 12 95 86 21 70 87 89 ...
##  $ skill_curve               : int  93 81 88 13 83 85 18 60 85 83 ...
##  $ skill_fk_accuracy         : int  94 76 87 14 79 83 12 70 78 69 ...
##  $ skill_long_passing        : int  92 77 81 40 83 91 63 81 88 75 ...
##  $ skill_ball_control        : int  96 92 95 30 94 91 30 76 92 89 ...
##  $ movement_acceleration     : int  91 89 94 43 94 77 38 74 77 94 ...
##  $ movement_sprint_speed     : int  84 91 89 60 88 76 50 79 71 92 ...
##  $ movement_agility          : int  93 87 96 67 95 78 37 61 92 91 ...
##  $ movement_reactions        : int  95 96 92 88 90 91 86 88 89 92 ...
##  $ movement_balance          : int  95 71 84 49 94 76 43 53 93 88 ...
##  $ power_shot_power          : int  86 95 80 59 82 91 66 81 79 80 ...
##  $ power_jumping             : int  68 95 61 78 56 63 79 90 68 69 ...
##  $ power_stamina             : int  75 85 81 41 84 89 35 75 85 85 ...
##  $ power_strength            : int  68 78 49 78 63 74 78 92 58 73 ...
##  $ power_long_shots          : int  94 93 84 12 80 90 10 64 82 84 ...
##  $ mentality_aggression      : int  48 63 51 34 54 76 43 82 62 63 ...
##  $ mentality_interceptions   : int  40 29 36 19 41 61 22 89 82 55 ...
##  $ mentality_positioning     : int  94 95 87 11 87 88 11 47 79 92 ...
##  $ mentality_vision          : int  94 82 90 65 89 94 70 65 91 84 ...
##  $ mentality_penalties       : int  75 85 90 11 88 79 25 62 82 77 ...
##  $ mentality_composure       : int  96 95 94 68 91 91 70 89 92 91 ...
##  $ defending_marking         : int  33 28 27 27 34 68 25 91 68 38 ...
##  $ defending_standing_tackle : int  37 32 26 12 27 58 13 92 76 43 ...
##  $ defending_sliding_tackle  : int  26 24 29 18 22 51 10 85 71 41 ...
##  $ goalkeeping_diving        : int  6 7 9 87 11 15 88 13 13 14 ...
##  $ goalkeeping_handling      : int  11 11 9 92 12 13 85 10 9 14 ...
##  $ goalkeeping_kicking       : int  15 15 15 78 6 5 88 13 7 9 ...
##  $ goalkeeping_positioning   : int  14 14 15 90 8 10 88 11 14 11 ...
##  $ goalkeeping_reflexes      : int  8 11 11 89 8 13 90 11 9 14 ...
##  $ ls                        : Factor w/ 95 levels "","30+2","31+2",..: 94 95 89 1 88 86 1 60 76 89 ...
##  $ st                        : Factor w/ 95 levels "","30+2","31+2",..: 94 95 89 1 88 86 1 60 76 89 ...
##  $ rs                        : Factor w/ 95 levels "","30+2","31+2",..: 94 95 89 1 88 86 1 60 76 89 ...
##  $ lw                        : Factor w/ 108 levels "","25+2","27+2",..: 108 106 107 1 106 104 1 64 100 105 ...
##  $ lf                        : Factor w/ 104 levels "","26+2","27+2",..: 104 103 102 1 101 100 1 65 94 101 ...
##  $ cf                        : Factor w/ 104 levels "","26+2","27+2",..: 104 103 102 1 101 100 1 65 94 101 ...
##  $ rf                        : Factor w/ 104 levels "","26+2","27+2",..: 104 103 102 1 101 100 1 65 94 101 ...
##  $ rw                        : Factor w/ 108 levels "","25+2","27+2",..: 108 106 107 1 106 104 1 64 100 105 ...
##  $ lam                       : Factor w/ 104 levels "","27+2","28+2",..: 104 101 103 1 102 101 1 64 99 100 ...
##  $ cam                       : Factor w/ 104 levels "","27+2","28+2",..: 104 101 103 1 102 101 1 64 99 100 ...
##  $ ram                       : Factor w/ 104 levels "","27+2","28+2",..: 104 101 103 1 102 101 1 64 99 100 ...
##  $ lm                        : Factor w/ 101 levels "","27+2","30+2",..: 101 99 100 1 100 99 1 62 95 98 ...
##  $ lcm                       : Factor w/ 89 levels "","31+2","32+2",..: 88 80 82 1 84 89 1 64 89 80 ...
##  $ cm                        : Factor w/ 89 levels "","31+2","32+2",..: 88 80 82 1 84 89 1 64 89 80 ...
##  $ rcm                       : Factor w/ 89 levels "","31+2","32+2",..: 88 80 82 1 84 89 1 64 89 80 ...
##  $ rm                        : Factor w/ 101 levels "","27+2","30+2",..: 101 99 100 1 100 99 1 62 95 98 ...
##  $ lwb                       : Factor w/ 99 levels "","30+2","31+2",..: 65 59 61 1 61 84 1 88 92 70 ...
##  $ ldm                       : Factor w/ 99 levels "","28+2","29+2",..: 60 51 51 1 55 84 1 95 92 63 ...
##  $ cdm                       : Factor w/ 99 levels "","28+2","29+2",..: 60 51 51 1 55 84 1 95 92 63 ...
##  $ rdm                       : Factor w/ 99 levels "","28+2","29+2",..: 60 51 51 1 55 84 1 95 92 63 ...
##  $ rwb                       : Factor w/ 99 levels "","30+2","31+2",..: 65 59 61 1 61 84 1 88 92 70 ...
##   [list output truncated]

¿Cuál es la variable independiente y cuál la variable dependiente? Variable independiente: edad, variable dependiente es la altura

¿Cuál es la estructura de los datos?

4.6.2 Valor de correlación entre las variables

Determinar la correlación de Pearson con la función cor(x,y) que establece el grado de relación entre dos variables; \(x\) e \(y\).

r <- cor(datosNew$age, datosNew$height_cm)
r
## [1] 0.08139088

¿Cómo se interpreta el valor del coeficiente de correlación?

  • El coeficiente de correlación con valor de 0.0813909 significa el grado de relación entre las variables.

4.6.3 Gráfica de dispersión

ggplot(data = datosNew, aes(x = datosNew$age, y= datosNew$height_cm)) +
  geom_point(colour = 'black')
## Warning: Use of `datosNew$age` is discouraged. Use `age` instead.
## Warning: Use of `datosNew$height_cm` is discouraged. Use `height_cm` instead.

4.6.4 Construir el modelo regresión lineal \(Y = a + bx\)

modelo <- lm(data = datosNew, formula = datosNew$age~datosNew$height_cm)

modelo
## 
## Call:
## lm(formula = datosNew$age ~ datosNew$height_cm, data = datosNew)
## 
## Coefficients:
##        (Intercept)  datosNew$height_cm  
##            15.1097              0.0561

4.6.4.1 Encontrar el coeficiente de determinación

\(r^{2}\)

¿Cuál es el valor y qué significa el coeficiente de determinación?

summary(modelo)
## 
## Call:
## lm(formula = datosNew$age ~ datosNew$height_cm, data = datosNew)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -9.9361 -3.7581 -0.3752  3.3444 17.1858 
## 
## Coefficients:
##                     Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        15.109707   0.922180   16.39   <2e-16 ***
## datosNew$height_cm  0.056095   0.005081   11.04   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.642 on 18276 degrees of freedom
## Multiple R-squared:  0.006624,   Adjusted R-squared:  0.00657 
## F-statistic: 121.9 on 1 and 18276 DF,  p-value: < 2.2e-16
paste("El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación :", r^2)
## [1] "El coeficiente de determinación o Multiple R-squared: es igual al cuadrado del coeficiente de correlación : 0.00662447575638203"
  • El coeficiente de determinación \(r^{2}\) con valor de 0.0066 significa que el valor de la estatura de una persona representa el 0.66 % del peso de la misma.

4.6.4.2 Determinar los valores de a y b

¿Cuáles son los valores de \(a\) y \(b\) en la ecuación de mínimos cuadrados? \(Y = a + b\cdot x\)

a <- modelo$coefficients[1]
b <- modelo$coefficients[2]
a ; b
## (Intercept) 
##    15.10971
## datosNew$height_cm 
##          0.0560954

4.6.4.3 Gráfica de tendencia

ggplot() + 
  geom_point(data = datosNew, aes(x = datosNew$age, y = datosNew$height_cm), colour='black') +
  geom_point(aes(x= mean(datosNew$age), y = mean(datosNew$height_cm)), col = 'green') +
  geom_line(aes( x = datosNew$age, y = predict(modelo, datosNew)), color = "yellow") +
  xlab("Edad") + 
  ylab("Altura") + 
  ggtitle("Linea de tendencia sobre Conjunto de Datos")
## Warning: Use of `datosNew$age` is discouraged. Use `age` instead.
## Warning: Use of `datosNew$height_cm` is discouraged. Use `height_cm` instead.

4.6.5 Predecir conforme al modelo

Predecir conforme a valores nuevos con la función predict() y verificar manualmente.

x <- c(150, 160, 170, 175, 185, 190)

prediccion <- predict(object = modelo, newdata = data.frame(estatura = x))
## Warning: 'newdata' had 6 rows but variables found have 18278 rows
prediccion
##        1        2        3        4        5        6        7        8 
## 24.64593 25.59955 24.92640 25.65564 24.92640 25.26297 25.59955 25.93612 
##        9       10       11       12       13       14       15       16 
## 24.75812 24.92640 25.09469 25.59955 25.65564 25.82393 25.88002 24.53373 
##       17       18       19       20       21       22       23       24 
## 25.59955 24.81421 25.43126 25.31907 25.43126 25.71174 24.98250 25.03859 
##       25       26       27       28       29       30       31       32 
## 25.82393 25.65564 24.64593 25.26297 26.27269 25.99221 25.93612 25.93612 
##       33       34       35       36       37       38       39       40 
## 25.65564 24.81421 25.48736 25.59955 25.37517 25.20688 25.59955 24.92640 
##       41       42       43       44       45       46       47       48 
## 25.71174 24.81421 25.48736 25.37517 25.15078 25.37517 25.48736 25.71174 
##       49       50       51       52       53       54       55       56 
## 24.58983 25.82393 25.54345 24.64593 24.87031 25.48736 24.25326 25.37517 
##       57       58       59       60       61       62       63       64 
## 25.37517 25.59955 24.36545 25.31907 26.04831 24.98250 24.98250 25.26297 
##       65       66       67       68       69       70       71       72 
## 25.43126 25.09469 25.20688 25.76783 24.75812 25.31907 25.54345 25.48736 
##       73       74       75       76       77       78       79       80 
## 24.92640 25.71174 26.10441 25.20688 25.82393 26.04831 25.82393 25.82393 
##       81       82       83       84       85       86       87       88 
## 25.43126 25.65564 25.09469 25.48736 25.54345 25.15078 25.43126 25.88002 
##       89       90       91       92       93       94       95       96 
## 25.59955 25.76783 25.71174 25.76783 25.20688 25.26297 24.81421 25.26297 
##       97       98       99      100      101      102      103      104 
## 26.04831 24.36545 25.54345 25.20688 25.48736 24.87031 25.54345 25.20688 
##      105      106      107      108      109      110      111      112 
## 24.98250 24.98250 25.20688 24.92640 25.20688 25.65564 25.09469 25.54345 
##      113      114      115      116      117      118      119      120 
## 25.31907 25.65564 25.31907 24.70202 24.98250 25.71174 25.48736 25.15078 
##      121      122      123      124      125      126      127      128 
## 24.92640 24.81421 25.76783 25.37517 25.26297 26.10441 25.71174 24.92640 
##      129      130      131      132      133      134      135      136 
## 25.65564 24.64593 25.65564 25.88002 25.37517 25.54345 25.15078 25.20688 
##      137      138      139      140      141      142      143      144 
## 25.88002 25.37517 25.93612 24.92640 25.54345 25.76783 25.20688 25.88002 
##      145      146      147      148      149      150      151      152 
## 25.09469 25.09469 25.20688 25.37517 25.37517 24.98250 24.75812 25.03859 
##      153      154      155      156      157      158      159      160 
## 25.26297 25.76783 25.15078 24.75812 25.76783 25.71174 25.65564 25.03859 
##      161      162      163      164      165      166      167      168 
## 25.20688 25.31907 25.54345 25.43126 25.76783 26.04831 25.26297 25.71174 
##      169      170      171      172      173      174      175      176 
## 25.15078 25.37517 25.59955 25.54345 25.65564 25.88002 24.70202 25.20688 
##      177      178      179      180      181      182      183      184 
## 24.70202 25.59955 25.31907 25.09469 25.59955 25.48736 25.20688 25.59955 
##      185      186      187      188      189      190      191      192 
## 26.16050 25.20688 24.92640 25.71174 25.76783 25.59955 25.48736 25.09469 
##      193      194      195      196      197      198      199      200 
## 25.26297 25.71174 25.43126 24.87031 25.48736 24.87031 25.15078 25.20688 
##      201      202      203      204      205      206      207      208 
## 25.88002 25.48736 25.76783 25.76783 25.76783 25.20688 25.71174 25.03859 
##      209      210      211      212      213      214      215      216 
## 25.54345 25.03859 25.71174 25.76783 24.98250 24.87031 25.65564 25.71174 
##      217      218      219      220      221      222      223      224 
## 25.71174 25.20688 25.31907 25.54345 25.37517 25.15078 25.20688 25.88002 
##      225      226      227      228      229      230      231      232 
## 25.37517 25.15078 24.87031 25.09469 25.31907 24.70202 24.64593 25.88002 
##      233      234      235      236      237      238      239      240 
## 25.65564 25.03859 25.65564 25.48736 25.03859 25.26297 25.09469 24.92640 
##      241      242      243      244      245      246      247      248 
## 24.98250 25.26297 25.93612 24.75812 24.53373 25.20688 25.71174 25.09469 
##      249      250      251      252      253      254      255      256 
## 25.59955 25.03859 26.04831 25.65564 25.76783 24.70202 25.54345 24.92640 
##      257      258      259      260      261      262      263      264 
## 24.81421 25.54345 25.48736 25.31907 25.99221 24.98250 25.59955 25.76783 
##      265      266      267      268      269      270      271      272 
## 25.54345 24.92640 24.75812 25.88002 25.71174 24.64593 24.98250 25.31907 
##      273      274      275      276      277      278      279      280 
## 25.59955 25.71174 25.09469 25.26297 25.15078 25.20688 25.59955 24.92640 
##      281      282      283      284      285      286      287      288 
## 25.99221 24.92640 25.15078 25.43126 24.70202 24.75812 25.65564 25.43126 
##      289      290      291      292      293      294      295      296 
## 25.31907 24.64593 24.53373 25.48736 25.09469 25.76783 26.04831 24.64593 
##      297      298      299      300      301      302      303      304 
## 25.93612 25.82393 24.92640 25.88002 25.88002 24.58983 24.75812 25.59955 
##      305      306      307      308      309      310      311      312 
## 25.71174 24.87031 24.75812 26.10441 25.26297 24.58983 25.65564 25.09469 
##      313      314      315      316      317      318      319      320 
## 25.31907 24.58983 25.59955 26.10441 25.31907 25.82393 25.43126 24.92640 
##      321      322      323      324      325      326      327      328 
## 24.87031 25.15078 25.71174 25.20688 25.76783 25.26297 24.92640 25.48736 
##      329      330      331      332      333      334      335      336 
## 25.03859 24.87031 24.92640 25.26297 25.54345 25.43126 25.43126 25.59955 
##      337      338      339      340      341      342      343      344 
## 25.15078 25.09469 25.43126 24.75812 24.92640 25.20688 25.71174 25.48736 
##      345      346      347      348      349      350      351      352 
## 24.87031 25.65564 25.03859 25.26297 24.64593 25.43126 25.37517 25.88002 
##      353      354      355      356      357      358      359      360 
## 25.54345 25.26297 25.93612 24.25326 25.82393 24.64593 25.15078 25.03859 
##      361      362      363      364      365      366      367      368 
## 25.37517 25.26297 25.31907 24.81421 25.20688 25.65564 25.54345 25.20688 
##      369      370      371      372      373      374      375      376 
## 26.16050 24.92640 25.71174 24.92640 24.87031 25.43126 25.48736 25.15078 
##      377      378      379      380      381      382      383      384 
## 25.71174 25.54345 25.88002 25.54345 25.59955 24.58983 25.43126 24.75812 
##      385      386      387      388      389      390      391      392 
## 24.92640 25.03859 25.76783 25.65564 25.76783 25.59955 25.43126 25.37517 
##      393      394      395      396      397      398      399      400 
## 24.81421 24.25326 25.59955 25.43126 25.99221 25.65564 25.03859 25.48736 
##      401      402      403      404      405      406      407      408 
## 24.81421 25.31907 25.54345 24.81421 25.20688 24.75812 24.70202 25.26297 
##      409      410      411      412      413      414      415      416 
## 24.70202 25.65564 25.65564 25.26297 24.92640 25.65564 25.59955 25.82393 
##      417      418      419      420      421      422      423      424 
## 24.98250 25.43126 25.20688 25.59955 24.98250 25.37517 25.09469 25.43126 
##      425      426      427      428      429      430      431      432 
## 25.20688 24.47764 25.54345 25.59955 25.09469 25.48736 25.37517 25.65564 
##      433      434      435      436      437      438      439      440 
## 25.26297 24.87031 25.65564 25.71174 25.26297 24.98250 25.54345 25.20688 
##      441      442      443      444      445      446      447      448 
## 25.76783 25.20688 25.20688 25.31907 25.65564 25.26297 25.54345 24.75812 
##      449      450      451      452      453      454      455      456 
## 25.37517 25.65564 25.20688 24.92640 25.15078 25.43126 25.03859 24.64593 
##      457      458      459      460      461      462      463      464 
## 25.99221 25.82393 24.53373 25.31907 25.82393 25.48736 25.54345 24.87031 
##      465      466      467      468      469      470      471      472 
## 24.87031 24.47764 25.71174 25.43126 25.48736 26.04831 25.43126 25.65564 
##      473      474      475      476      477      478      479      480 
## 25.59955 25.20688 25.65564 25.15078 25.31907 25.82393 25.31907 25.09469 
##      481      482      483      484      485      486      487      488 
## 25.09469 25.09469 25.31907 25.59955 25.59955 25.76783 25.99221 25.15078 
##      489      490      491      492      493      494      495      496 
## 24.98250 25.65564 25.03859 24.87031 26.10441 25.54345 25.59955 25.65564 
##      497      498      499      500      501      502      503      504 
## 25.59955 25.26297 25.93612 25.59955 25.48736 25.15078 25.37517 24.87031 
##      505      506      507      508      509      510      511      512 
## 25.43126 25.43126 26.21660 25.26297 25.88002 25.37517 25.20688 25.37517 
##      513      514      515      516      517      518      519      520 
## 24.42154 24.36545 25.48736 25.54345 25.76783 24.98250 26.16050 26.04831 
##      521      522      523      524      525      526      527      528 
## 25.20688 25.48736 25.15078 25.59955 24.98250 24.81421 25.20688 25.31907 
##      529      530      531      532      533      534      535      536 
## 25.26297 25.59955 26.10441 25.03859 25.15078 25.54345 25.99221 25.76783 
##      537      538      539      540      541      542      543      544 
## 24.75812 25.82393 25.99221 25.31907 25.15078 25.26297 25.65564 24.70202 
##      545      546      547      548      549      550      551      552 
## 25.15078 25.43126 25.03859 25.31907 25.09469 25.03859 25.43126 26.10441 
##      553      554      555      556      557      558      559      560 
## 25.54345 25.26297 24.64593 25.65564 24.30935 25.26297 25.71174 25.37517 
##      561      562      563      564      565      566      567      568 
## 25.15078 25.48736 25.54345 25.03859 25.09469 25.76783 25.03859 25.09469 
##      569      570      571      572      573      574      575      576 
## 24.98250 25.59955 25.20688 25.37517 25.93612 25.88002 25.54345 26.04831 
##      577      578      579      580      581      582      583      584 
## 25.54345 24.92640 25.15078 25.31907 24.81421 24.87031 25.54345 25.03859 
##      585      586      587      588      589      590      591      592 
## 25.37517 25.26297 25.03859 25.43126 26.10441 25.03859 25.20688 25.82393 
##      593      594      595      596      597      598      599      600 
## 24.64593 25.43126 25.71174 25.20688 25.54345 25.54345 25.03859 25.09469 
##      601      602      603      604      605      606      607      608 
## 25.82393 25.88002 25.43126 24.81421 25.54345 24.75812 25.76783 25.48736 
##      609      610      611      612      613      614      615      616 
## 25.54345 24.92640 24.92640 24.92640 25.48736 25.26297 24.30935 24.98250 
##      617      618      619      620      621      622      623      624 
## 25.76783 24.75812 24.64593 25.20688 25.15078 25.09469 25.59955 25.59955 
##      625      626      627      628      629      630      631      632 
## 25.48736 25.31907 25.88002 25.71174 26.32879 25.93612 25.48736 25.43126 
##      633      634      635      636      637      638      639      640 
## 25.37517 25.65564 24.81421 25.43126 25.20688 24.75812 25.65564 25.43126 
##      641      642      643      644      645      646      647      648 
## 25.54345 25.59955 26.04831 25.31907 24.58983 25.37517 25.54345 25.48736 
##      649      650      651      652      653      654      655      656 
## 25.71174 25.26297 25.59955 25.43126 25.71174 25.48736 25.48736 24.98250 
##      657      658      659      660      661      662      663      664 
## 25.54345 25.09469 25.09469 25.31907 24.70202 25.26297 25.43126 25.31907 
##      665      666      667      668      669      670      671      672 
## 24.87031 24.92640 25.65564 25.93612 25.48736 25.65564 24.98250 24.81421 
##      673      674      675      676      677      678      679      680 
## 24.92640 25.82393 25.65564 25.09469 25.37517 25.37517 25.20688 25.71174 
##      681      682      683      684      685      686      687      688 
## 25.48736 25.03859 25.93612 25.20688 24.75812 25.20688 25.15078 25.09469 
##      689      690      691      692      693      694      695      696 
## 25.03859 25.09469 25.59955 25.03859 25.20688 25.03859 25.54345 25.59955 
##      697      698      699      700      701      702      703      704 
## 25.54345 25.88002 24.81421 24.87031 25.37517 25.54345 24.92640 24.75812 
##      705      706      707      708      709      710      711      712 
## 25.76783 25.31907 24.87031 25.59955 25.82393 24.70202 25.20688 25.54345 
##      713      714      715      716      717      718      719      720 
## 24.98250 25.31907 25.59955 25.48736 25.82393 25.76783 24.98250 25.09469 
##      721      722      723      724      725      726      727      728 
## 25.31907 25.43126 25.71174 25.48736 25.54345 26.10441 25.43126 24.81421 
##      729      730      731      732      733      734      735      736 
## 24.70202 24.64593 24.58983 25.15078 25.26297 25.71174 25.48736 24.64593 
##      737      738      739      740      741      742      743      744 
## 25.31907 25.03859 25.26297 25.59955 25.26297 25.76783 25.59955 25.37517 
##      745      746      747      748      749      750      751      752 
## 25.03859 25.31907 25.65564 25.54345 24.98250 25.31907 24.92640 25.54345 
##      753      754      755      756      757      758      759      760 
## 24.98250 25.76783 25.48736 25.48736 25.37517 24.70202 25.88002 25.88002 
##      761      762      763      764      765      766      767      768 
## 25.82393 25.99221 24.92640 24.92640 24.81421 25.09469 24.92640 25.20688 
##      769      770      771      772      773      774      775      776 
## 24.92640 25.88002 25.76783 25.54345 25.71174 25.09469 25.71174 25.54345 
##      777      778      779      780      781      782      783      784 
## 24.25326 25.65564 25.09469 24.75812 25.71174 25.37517 26.10441 24.92640 
##      785      786      787      788      789      790      791      792 
## 25.26297 25.09469 25.99221 25.43126 25.65564 25.59955 25.31907 25.15078 
##      793      794      795      796      797      798      799      800 
## 25.82393 25.37517 25.37517 26.04831 25.43126 25.48736 25.37517 25.93612 
##      801      802      803      804      805      806      807      808 
## 25.65564 24.92640 24.98250 25.54345 25.26297 25.43126 24.81421 25.88002 
##      809      810      811      812      813      814      815      816 
## 25.65564 25.59955 25.93612 25.48736 25.65564 25.59955 25.76783 25.59955 
##      817      818      819      820      821      822      823      824 
## 24.98250 25.20688 25.59955 25.09469 25.37517 25.76783 24.98250 25.09469 
##      825      826      827      828      829      830      831      832 
## 25.59955 25.15078 24.75812 25.48736 25.93612 25.71174 25.88002 25.54345 
##      833      834      835      836      837      838      839      840 
## 24.92640 25.20688 25.65564 25.26297 24.81421 25.88002 25.76783 25.43126 
##      841      842      843      844      845      846      847      848 
## 25.65564 25.26297 26.04831 25.26297 25.43126 25.48736 25.31907 25.37517 
##      849      850      851      852      853      854      855      856 
## 25.26297 24.64593 25.76783 26.27269 24.64593 24.98250 25.20688 24.92640 
##      857      858      859      860      861      862      863      864 
## 25.09469 25.93612 24.92640 25.20688 25.82393 25.48736 24.70202 25.15078 
##      865      866      867      868      869      870      871      872 
## 24.87031 25.59955 25.20688 24.92640 25.20688 25.88002 25.88002 25.48736 
##      873      874      875      876      877      878      879      880 
## 25.37517 25.65564 24.92640 25.26297 25.43126 25.15078 24.75812 25.15078 
##      881      882      883      884      885      886      887      888 
## 25.20688 24.92640 25.31907 25.31907 25.03859 25.03859 25.26297 25.93612 
##      889      890      891      892      893      894      895      896 
## 25.37517 25.88002 25.37517 25.43126 25.48736 25.54345 24.92640 25.15078 
##      897      898      899      900      901      902      903      904 
## 25.15078 25.43126 25.82393 26.04831 25.37517 25.20688 25.48736 25.20688 
##      905      906      907      908      909      910      911      912 
## 25.37517 25.43126 25.54345 25.76783 25.65564 24.25326 25.99221 25.43126 
##      913      914      915      916      917      918      919      920 
## 24.92640 25.59955 25.48736 25.65564 25.54345 26.10441 25.54345 25.37517 
##      921      922      923      924      925      926      927      928 
## 25.15078 25.43126 25.03859 25.37517 25.20688 25.15078 25.65564 25.93612 
##      929      930      931      932      933      934      935      936 
## 25.76783 25.43126 24.75812 25.37517 25.31907 25.99221 24.92640 25.20688 
##      937      938      939      940      941      942      943      944 
## 25.09469 25.26297 25.15078 25.76783 25.48736 24.70202 25.31907 24.70202 
##      945      946      947      948      949      950      951      952 
## 25.20688 24.81421 25.09469 25.54345 25.43126 24.64593 25.54345 25.20688 
##      953      954      955      956      957      958      959      960 
## 25.09469 24.92640 25.15078 25.65564 25.37517 25.59955 25.65564 25.65564 
##      961      962      963      964      965      966      967      968 
## 25.15078 25.37517 25.26297 25.26297 25.76783 25.88002 25.65564 26.10441 
##      969      970      971      972      973      974      975      976 
## 25.48736 25.48736 25.37517 24.47764 24.87031 24.98250 25.48736 25.88002 
##      977      978      979      980      981      982      983      984 
## 25.31907 25.43126 24.98250 24.70202 25.59955 25.59955 25.76783 25.48736 
##      985      986      987      988      989      990      991      992 
## 24.53373 24.87031 24.98250 25.59955 24.98250 24.53373 25.03859 24.87031 
##      993      994      995      996      997      998      999     1000 
## 25.48736 25.88002 24.98250 25.03859 25.82393 25.37517 25.37517 24.53373 
##     1001     1002     1003     1004     1005     1006     1007     1008 
## 25.59955 25.59955 24.98250 24.92640 25.37517 25.31907 25.48736 25.15078 
##     1009     1010     1011     1012     1013     1014     1015     1016 
## 25.20688 25.31907 25.09469 25.09469 25.09469 24.81421 25.20688 25.20688 
##     1017     1018     1019     1020     1021     1022     1023     1024 
## 24.92640 25.48736 25.65564 25.76783 24.92640 24.92640 24.75812 25.43126 
##     1025     1026     1027     1028     1029     1030     1031     1032 
## 25.37517 24.47764 25.76783 25.54345 25.93612 25.31907 24.87031 25.43126 
##     1033     1034     1035     1036     1037     1038     1039     1040 
## 24.70202 25.71174 25.59955 25.26297 24.47764 25.43126 25.20688 25.31907 
##     1041     1042     1043     1044     1045     1046     1047     1048 
## 25.20688 25.65564 25.48736 25.03859 25.09469 24.92640 25.43126 25.31907 
##     1049     1050     1051     1052     1053     1054     1055     1056 
## 25.54345 25.20688 24.53373 25.59955 25.48736 24.81421 25.76783 25.20688 
##     1057     1058     1059     1060     1061     1062     1063     1064 
## 25.31907 24.92640 25.82393 24.53373 24.92640 25.88002 24.92640 24.87031 
##     1065     1066     1067     1068     1069     1070     1071     1072 
## 25.65564 25.59955 24.92640 25.65564 24.92640 25.54345 25.20688 25.65564 
##     1073     1074     1075     1076     1077     1078     1079     1080 
## 25.31907 24.81421 26.16050 25.59955 25.03859 25.43126 24.92640 25.03859 
##     1081     1082     1083     1084     1085     1086     1087     1088 
## 25.76783 25.43126 25.09469 25.37517 25.09469 25.76783 25.09469 25.31907 
##     1089     1090     1091     1092     1093     1094     1095     1096 
## 25.48736 25.15078 26.16050 25.82393 25.37517 25.20688 25.99221 25.71174 
##     1097     1098     1099     1100     1101     1102     1103     1104 
## 25.54345 25.76783 24.64593 25.48736 24.92640 25.99221 25.59955 24.92640 
##     1105     1106     1107     1108     1109     1110     1111     1112 
## 25.15078 25.48736 25.43126 25.71174 25.26297 25.48736 25.59955 25.93612 
##     1113     1114     1115     1116     1117     1118     1119     1120 
## 24.75812 25.54345 25.54345 25.48736 25.48736 25.31907 25.65564 25.31907 
##     1121     1122     1123     1124     1125     1126     1127     1128 
## 25.71174 24.53373 25.31907 25.48736 25.88002 24.87031 25.26297 25.20688 
##     1129     1130     1131     1132     1133     1134     1135     1136 
## 25.54345 25.20688 26.16050 24.87031 24.98250 25.88002 25.76783 25.65564 
##     1137     1138     1139     1140     1141     1142     1143     1144 
## 25.59955 25.54345 26.10441 24.98250 24.92640 26.04831 24.87031 25.09469 
##     1145     1146     1147     1148     1149     1150     1151     1152 
## 25.15078 25.54345 25.65564 25.93612 24.81421 25.93612 24.98250 25.48736 
##     1153     1154     1155     1156     1157     1158     1159     1160 
## 25.03859 24.98250 25.03859 25.37517 24.75812 25.43126 25.37517 25.59955 
##     1161     1162     1163     1164     1165     1166     1167     1168 
## 25.43126 25.31907 25.48736 25.20688 25.09469 25.09469 25.48736 25.48736 
##     1169     1170     1171     1172     1173     1174     1175     1176 
## 25.37517 25.76783 25.20688 25.20688 24.87031 25.93612 25.88002 24.75812 
##     1177     1178     1179     1180     1181     1182     1183     1184 
## 25.82393 24.70202 24.98250 24.81421 25.59955 25.20688 25.31907 25.37517 
##     1185     1186     1187     1188     1189     1190     1191     1192 
## 25.03859 25.48736 25.65564 25.15078 25.37517 25.48736 25.09469 25.54345 
##     1193     1194     1195     1196     1197     1198     1199     1200 
## 24.87031 25.15078 24.87031 25.20688 25.54345 25.03859 25.43126 25.15078 
##     1201     1202     1203     1204     1205     1206     1207     1208 
## 25.43126 24.53373 25.37517 25.59955 25.09469 25.31907 25.59955 25.31907 
##     1209     1210     1211     1212     1213     1214     1215     1216 
## 25.15078 25.43126 25.43126 25.09469 25.20688 24.87031 25.15078 25.48736 
##     1217     1218     1219     1220     1221     1222     1223     1224 
## 25.09469 26.21660 24.92640 25.43126 25.37517 25.48736 24.87031 25.48736 
##     1225     1226     1227     1228     1229     1230     1231     1232 
## 24.64593 25.09469 25.31907 25.43126 25.20688 24.87031 25.09469 25.15078 
##     1233     1234     1235     1236     1237     1238     1239     1240 
## 25.65564 25.76783 25.48736 24.92640 25.54345 25.76783 24.64593 24.92640 
##     1241     1242     1243     1244     1245     1246     1247     1248 
## 25.88002 25.65564 25.48736 25.03859 25.43126 25.54345 25.71174 25.09469 
##     1249     1250     1251     1252     1253     1254     1255     1256 
## 25.09469 25.65564 25.09469 24.98250 25.59955 25.54345 24.70202 25.31907 
##     1257     1258     1259     1260     1261     1262     1263     1264 
## 24.87031 25.82393 25.43126 25.54345 25.37517 25.09469 25.76783 24.87031 
##     1265     1266     1267     1268     1269     1270     1271     1272 
## 24.98250 25.37517 25.88002 25.48736 24.98250 25.20688 24.81421 25.48736 
##     1273     1274     1275     1276     1277     1278     1279     1280 
## 25.48736 25.15078 26.10441 25.15078 25.20688 24.81421 25.26297 25.20688 
##     1281     1282     1283     1284     1285     1286     1287     1288 
## 25.82393 25.99221 24.75812 25.99221 25.20688 25.54345 25.20688 25.82393 
##     1289     1290     1291     1292     1293     1294     1295     1296 
## 25.59955 24.87031 24.92640 25.59955 25.82393 25.31907 25.48736 25.09469 
##     1297     1298     1299     1300     1301     1302     1303     1304 
## 25.43126 24.92640 25.37517 25.48736 25.65564 24.98250 26.10441 24.58983 
##     1305     1306     1307     1308     1309     1310     1311     1312 
## 25.03859 25.71174 25.71174 25.20688 25.20688 25.20688 25.54345 25.37517 
##     1313     1314     1315     1316     1317     1318     1319     1320 
## 26.04831 25.54345 25.99221 24.98250 25.71174 25.88002 25.09469 24.92640 
##     1321     1322     1323     1324     1325     1326     1327     1328 
## 24.70202 25.59955 25.43126 24.53373 25.43126 25.88002 25.71174 25.26297 
##     1329     1330     1331     1332     1333     1334     1335     1336 
## 25.76783 25.26297 25.15078 25.43126 25.99221 25.59955 25.26297 24.98250 
##     1337     1338     1339     1340     1341     1342     1343     1344 
## 25.20688 25.43126 24.92640 25.76783 25.88002 25.54345 24.75812 25.48736 
##     1345     1346     1347     1348     1349     1350     1351     1352 
## 25.31907 24.58983 25.76783 24.92640 25.26297 24.81421 25.82393 25.37517 
##     1353     1354     1355     1356     1357     1358     1359     1360 
## 24.14107 24.98250 24.92640 25.71174 25.65564 25.31907 24.92640 24.92640 
##     1361     1362     1363     1364     1365     1366     1367     1368 
## 25.09469 25.48736 25.48736 26.10441 25.65564 24.87031 25.03859 25.65564 
##     1369     1370     1371     1372     1373     1374     1375     1376 
## 25.48736 25.15078 24.75812 24.70202 25.26297 25.65564 25.93612 24.98250 
##     1377     1378     1379     1380     1381     1382     1383     1384 
## 24.36545 25.48736 25.37517 24.92640 25.20688 25.26297 24.81421 25.65564 
##     1385     1386     1387     1388     1389     1390     1391     1392 
## 24.92640 25.59955 25.71174 25.59955 25.37517 26.21660 25.76783 25.03859 
##     1393     1394     1395     1396     1397     1398     1399     1400 
## 24.87031 25.37517 25.48736 25.82393 25.93612 25.48736 25.48736 25.37517 
##     1401     1402     1403     1404     1405     1406     1407     1408 
## 26.10441 25.09469 25.26297 25.59955 25.48736 25.20688 24.75812 25.20688 
##     1409     1410     1411     1412     1413     1414     1415     1416 
## 24.81421 25.43126 25.09469 24.70202 25.37517 25.15078 25.59955 25.65564 
##     1417     1418     1419     1420     1421     1422     1423     1424 
## 24.81421 25.03859 25.59955 24.92640 25.03859 25.43126 24.70202 25.20688 
##     1425     1426     1427     1428     1429     1430     1431     1432 
## 25.37517 25.59955 25.37517 25.59955 25.26297 25.82393 25.15078 24.87031 
##     1433     1434     1435     1436     1437     1438     1439     1440 
## 25.59955 25.03859 25.03859 25.48736 25.26297 25.20688 24.87031 25.71174 
##     1441     1442     1443     1444     1445     1446     1447     1448 
## 25.03859 25.48736 25.09469 24.98250 25.20688 25.65564 25.31907 25.26297 
##     1449     1450     1451     1452     1453     1454     1455     1456 
## 25.37517 25.43126 25.54345 24.98250 25.26297 25.43126 24.75812 25.20688 
##     1457     1458     1459     1460     1461     1462     1463     1464 
## 25.37517 24.81421 25.65564 25.54345 25.26297 25.43126 25.48736 24.92640 
##     1465     1466     1467     1468     1469     1470     1471     1472 
## 25.09469 25.48736 25.54345 25.76783 25.37517 25.37517 25.76783 25.71174 
##     1473     1474     1475     1476     1477     1478     1479     1480 
## 24.98250 25.88002 24.64593 25.99221 25.20688 25.37517 24.75812 24.81421 
##     1481     1482     1483     1484     1485     1486     1487     1488 
## 25.43126 24.98250 25.37517 25.88002 24.81421 25.71174 25.76783 25.31907 
##     1489     1490     1491     1492     1493     1494     1495     1496 
## 25.54345 25.48736 25.31907 25.15078 24.87031 24.92640 25.82393 25.82393 
##     1497     1498     1499     1500     1501     1502     1503     1504 
## 23.97278 25.15078 25.48736 25.48736 25.59955 25.93612 25.31907 24.47764 
##     1505     1506     1507     1508     1509     1510     1511     1512 
## 24.98250 25.20688 24.70202 25.26297 25.59955 25.43126 25.71174 25.48736 
##     1513     1514     1515     1516     1517     1518     1519     1520 
## 25.31907 24.58983 24.87031 24.81421 25.26297 25.31907 25.99221 25.59955 
##     1521     1522     1523     1524     1525     1526     1527     1528 
## 24.92640 24.92640 24.87031 25.31907 25.09469 25.03859 24.53373 24.42154 
##     1529     1530     1531     1532     1533     1534     1535     1536 
## 24.70202 25.37517 25.20688 25.31907 26.16050 24.81421 25.31907 25.09469 
##     1537     1538     1539     1540     1541     1542     1543     1544 
## 25.37517 25.37517 24.58983 25.20688 25.20688 24.92640 25.76783 24.81421 
##     1545     1546     1547     1548     1549     1550     1551     1552 
## 24.87031 25.48736 25.88002 25.03859 25.65564 24.81421 25.65564 25.31907 
##     1553     1554     1555     1556     1557     1558     1559     1560 
## 24.92640 25.54345 25.20688 25.43126 24.58983 25.54345 25.76783 25.71174 
##     1561     1562     1563     1564     1565     1566     1567     1568 
## 25.48736 25.59955 24.75812 25.15078 25.76783 25.03859 24.75812 24.92640 
##     1569     1570     1571     1572     1573     1574     1575     1576 
## 25.31907 24.58983 24.92640 25.15078 24.81421 24.87031 25.54345 25.76783 
##     1577     1578     1579     1580     1581     1582     1583     1584 
## 25.54345 25.88002 24.81421 24.81421 24.92640 24.64593 25.54345 25.31907 
##     1585     1586     1587     1588     1589     1590     1591     1592 
## 24.92640 25.43126 24.70202 24.81421 25.03859 24.98250 25.20688 24.53373 
##     1593     1594     1595     1596     1597     1598     1599     1600 
## 25.54345 24.92640 25.88002 25.65564 25.03859 25.88002 25.76783 24.92640 
##     1601     1602     1603     1604     1605     1606     1607     1608 
## 25.09469 25.82393 24.98250 25.20688 25.65564 25.99221 25.03859 25.03859 
##     1609     1610     1611     1612     1613     1614     1615     1616 
## 25.48736 25.65564 24.98250 25.20688 25.31907 25.99221 24.75812 25.26297 
##     1617     1618     1619     1620     1621     1622     1623     1624 
## 25.65564 25.15078 25.09469 25.09469 25.48736 25.59955 24.70202 25.09469 
##     1625     1626     1627     1628     1629     1630     1631     1632 
## 25.20688 24.47764 25.65564 24.81421 25.93612 25.37517 25.76783 25.37517 
##     1633     1634     1635     1636     1637     1638     1639     1640 
## 24.87031 25.54345 24.92640 25.20688 25.54345 25.03859 25.31907 25.03859 
##     1641     1642     1643     1644     1645     1646     1647     1648 
## 25.20688 25.37517 24.98250 25.48736 24.75812 25.48736 25.76783 24.98250 
##     1649     1650     1651     1652     1653     1654     1655     1656 
## 25.09469 24.75812 25.93612 25.03859 24.92640 25.37517 25.43126 25.43126 
##     1657     1658     1659     1660     1661     1662     1663     1664 
## 24.92640 25.48736 24.64593 24.92640 25.48736 24.98250 25.48736 25.37517 
##     1665     1666     1667     1668     1669     1670     1671     1672 
## 25.31907 25.43126 25.43126 24.87031 24.75812 25.15078 24.70202 25.37517 
##     1673     1674     1675     1676     1677     1678     1679     1680 
## 25.82393 25.48736 25.43126 24.92640 25.59955 25.48736 25.37517 25.20688 
##     1681     1682     1683     1684     1685     1686     1687     1688 
## 24.98250 24.75812 25.43126 25.59955 25.20688 25.54345 25.20688 24.70202 
##     1689     1690     1691     1692     1693     1694     1695     1696 
## 25.88002 24.70202 24.53373 24.92640 25.37517 25.09469 25.99221 25.43126 
##     1697     1698     1699     1700     1701     1702     1703     1704 
## 24.98250 24.75812 24.64593 25.09469 25.43126 24.53373 25.48736 25.76783 
##     1705     1706     1707     1708     1709     1710     1711     1712 
## 25.43126 25.37517 25.88002 24.81421 25.15078 25.03859 25.20688 25.31907 
##     1713     1714     1715     1716     1717     1718     1719     1720 
## 25.88002 24.98250 25.54345 25.31907 25.71174 24.92640 25.93612 25.65564 
##     1721     1722     1723     1724     1725     1726     1727     1728 
## 25.48736 25.37517 25.93612 25.03859 25.37517 25.03859 25.09469 24.98250 
##     1729     1730     1731     1732     1733     1734     1735     1736 
## 25.26297 25.20688 25.03859 24.92640 25.48736 25.43126 25.37517 25.76783 
##     1737     1738     1739     1740     1741     1742     1743     1744 
## 25.65564 24.47764 25.43126 24.87031 24.75812 25.37517 25.09469 25.76783 
##     1745     1746     1747     1748     1749     1750     1751     1752 
## 25.03859 25.09469 25.54345 25.15078 25.48736 25.43126 25.20688 25.09469 
##     1753     1754     1755     1756     1757     1758     1759     1760 
## 25.93612 25.65564 25.65564 24.47764 25.48736 25.20688 25.20688 25.82393 
##     1761     1762     1763     1764     1765     1766     1767     1768 
## 25.09469 25.09469 25.65564 25.48736 24.92640 26.16050 24.98250 25.99221 
##     1769     1770     1771     1772     1773     1774     1775     1776 
## 25.20688 25.15078 25.54345 24.70202 25.31907 25.20688 25.48736 25.48736 
##     1777     1778     1779     1780     1781     1782     1783     1784 
## 25.09469 25.54345 25.54345 24.98250 25.37517 25.48736 25.99221 25.26297 
##     1785     1786     1787     1788     1789     1790     1791     1792 
## 25.09469 25.31907 26.10441 25.76783 25.03859 25.20688 25.71174 25.03859 
##     1793     1794     1795     1796     1797     1798     1799     1800 
## 25.20688 25.37517 25.65564 25.37517 25.37517 25.54345 24.81421 24.64593 
##     1801     1802     1803     1804     1805     1806     1807     1808 
## 24.92640 24.98250 25.15078 25.20688 24.75812 24.58983 25.09469 25.15078 
##     1809     1810     1811     1812     1813     1814     1815     1816 
## 25.65564 25.43126 25.43126 25.15078 25.82393 24.53373 25.43126 25.20688 
##     1817     1818     1819     1820     1821     1822     1823     1824 
## 25.37517 25.48736 24.98250 26.04831 24.64593 25.82393 24.92640 24.64593 
##     1825     1826     1827     1828     1829     1830     1831     1832 
## 25.48736 25.43126 25.09469 25.09469 25.26297 25.31907 24.92640 25.48736 
##     1833     1834     1835     1836     1837     1838     1839     1840 
## 25.71174 25.43126 26.38488 25.54345 26.04831 25.48736 25.82393 25.65564 
##     1841     1842     1843     1844     1845     1846     1847     1848 
## 25.65564 26.10441 25.03859 24.98250 24.98250 25.31907 25.37517 25.03859 
##     1849     1850     1851     1852     1853     1854     1855     1856 
## 24.81421 25.37517 25.09469 25.37517 25.03859 24.92640 25.09469 25.71174 
##     1857     1858     1859     1860     1861     1862     1863     1864 
## 25.54345 24.98250 25.71174 25.15078 25.48736 25.26297 25.99221 24.64593 
##     1865     1866     1867     1868     1869     1870     1871     1872 
## 25.09469 25.48736 24.81421 25.20688 25.76783 24.92640 24.98250 25.71174 
##     1873     1874     1875     1876     1877     1878     1879     1880 
## 24.92640 25.09469 25.09469 25.03859 25.65564 24.98250 25.09469 25.15078 
##     1881     1882     1883     1884     1885     1886     1887     1888 
## 25.43126 25.37517 25.93612 25.20688 25.26297 25.65564 24.92640 25.59955 
##     1889     1890     1891     1892     1893     1894     1895     1896 
## 25.54345 25.48736 25.54345 24.92640 25.59955 25.31907 25.09469 25.65564 
##     1897     1898     1899     1900     1901     1902     1903     1904 
## 24.92640 25.31907 25.43126 24.87031 25.43126 25.43126 24.81421 25.65564 
##     1905     1906     1907     1908     1909     1910     1911     1912 
## 25.09469 25.20688 25.48736 25.65564 24.64593 25.48736 25.20688 24.92640 
##     1913     1914     1915     1916     1917     1918     1919     1920 
## 24.92640 25.43126 25.48736 24.75812 24.87031 25.26297 25.31907 25.37517 
##     1921     1922     1923     1924     1925     1926     1927     1928 
## 25.65564 26.21660 25.54345 24.14107 25.65564 25.26297 25.37517 25.15078 
##     1929     1930     1931     1932     1933     1934     1935     1936 
## 26.27269 25.09469 25.20688 25.09469 24.92640 25.59955 25.82393 25.76783 
##     1937     1938     1939     1940     1941     1942     1943     1944 
## 25.54345 25.37517 25.54345 25.43126 25.48736 25.93612 25.54345 25.59955 
##     1945     1946     1947     1948     1949     1950     1951     1952 
## 25.15078 25.65564 25.26297 25.71174 26.04831 25.09469 25.93612 25.31907 
##     1953     1954     1955     1956     1957     1958     1959     1960 
## 25.65564 24.98250 25.48736 25.65564 24.98250 25.82393 25.71174 25.76783 
##     1961     1962     1963     1964     1965     1966     1967     1968 
## 25.93612 25.43126 25.31907 25.48736 24.42154 24.53373 25.37517 25.43126 
##     1969     1970     1971     1972     1973     1974     1975     1976 
## 25.37517 25.15078 24.92640 24.70202 24.75812 25.88002 25.31907 24.70202 
##     1977     1978     1979     1980     1981     1982     1983     1984 
## 25.88002 24.98250 25.37517 25.20688 24.70202 25.88002 25.54345 25.09469 
##     1985     1986     1987     1988     1989     1990     1991     1992 
## 25.26297 25.65564 25.76783 25.20688 25.31907 25.48736 25.37517 25.59955 
##     1993     1994     1995     1996     1997     1998     1999     2000 
## 25.82393 25.76783 24.92640 25.31907 25.03859 25.59955 25.43126 25.20688 
##     2001     2002     2003     2004     2005     2006     2007     2008 
## 25.20688 25.48736 25.48736 25.20688 25.71174 25.03859 25.54345 24.53373 
##     2009     2010     2011     2012     2013     2014     2015     2016 
## 24.81421 25.43126 25.76783 25.65564 24.47764 25.59955 25.03859 24.87031 
##     2017     2018     2019     2020     2021     2022     2023     2024 
## 25.31907 25.65564 25.15078 24.87031 25.03859 24.81421 25.76783 24.64593 
##     2025     2026     2027     2028     2029     2030     2031     2032 
## 24.92640 25.65564 25.03859 25.20688 25.20688 25.65564 24.64593 25.31907 
##     2033     2034     2035     2036     2037     2038     2039     2040 
## 24.98250 25.09469 25.20688 24.75812 25.43126 25.31907 24.47764 25.20688 
##     2041     2042     2043     2044     2045     2046     2047     2048 
## 25.26297 25.03859 24.58983 25.26297 24.87031 25.09469 25.37517 25.59955 
##     2049     2050     2051     2052     2053     2054     2055     2056 
## 25.09469 25.65564 25.59955 25.26297 25.37517 25.15078 25.54345 24.92640 
##     2057     2058     2059     2060     2061     2062     2063     2064 
## 25.54345 24.75812 25.37517 24.87031 24.75812 25.20688 25.26297 24.64593 
##     2065     2066     2067     2068     2069     2070     2071     2072 
## 25.88002 25.31907 25.03859 25.43126 25.37517 25.31907 25.15078 25.09469 
##     2073     2074     2075     2076     2077     2078     2079     2080 
## 25.31907 24.42154 25.37517 24.87031 25.20688 25.20688 25.65564 24.98250 
##     2081     2082     2083     2084     2085     2086     2087     2088 
## 24.75812 25.09469 24.64593 25.09469 25.37517 25.09469 25.48736 25.20688 
##     2089     2090     2091     2092     2093     2094     2095     2096 
## 25.37517 25.59955 24.64593 25.82393 25.43126 25.59955 25.48736 25.09469 
##     2097     2098     2099     2100     2101     2102     2103     2104 
## 24.64593 24.92640 24.92640 25.03859 25.65564 25.65564 25.03859 25.48736 
##     2105     2106     2107     2108     2109     2110     2111     2112 
## 25.15078 25.09469 25.09469 25.76783 25.09469 25.65564 25.03859 25.31907 
##     2113     2114     2115     2116     2117     2118     2119     2120 
## 24.92640 25.20688 25.03859 24.98250 25.59955 25.43126 25.71174 25.76783 
##     2121     2122     2123     2124     2125     2126     2127     2128 
## 25.20688 25.54345 25.76783 25.03859 25.03859 25.09469 25.20688 24.81421 
##     2129     2130     2131     2132     2133     2134     2135     2136 
## 25.03859 25.43126 25.48736 25.15078 25.59955 25.88002 25.54345 25.43126 
##     2137     2138     2139     2140     2141     2142     2143     2144 
## 25.54345 24.64593 25.37517 24.81421 25.43126 24.75812 25.59955 24.81421 
##     2145     2146     2147     2148     2149     2150     2151     2152 
## 24.36545 25.09469 25.82393 24.98250 25.54345 25.20688 24.70202 25.20688 
##     2153     2154     2155     2156     2157     2158     2159     2160 
## 25.09469 24.64593 24.53373 25.76783 25.09469 24.98250 24.98250 25.03859 
##     2161     2162     2163     2164     2165     2166     2167     2168 
## 25.31907 25.15078 25.43126 25.43126 25.65564 25.26297 25.31907 25.09469 
##     2169     2170     2171     2172     2173     2174     2175     2176 
## 26.16050 24.75812 24.64593 25.37517 26.10441 24.58983 25.93612 25.31907 
##     2177     2178     2179     2180     2181     2182     2183     2184 
## 24.70202 25.48736 25.76783 25.65564 25.15078 24.70202 25.71174 25.03859 
##     2185     2186     2187     2188     2189     2190     2191     2192 
## 25.76783 24.92640 24.81421 25.76783 25.43126 25.31907 24.64593 25.82393 
##     2193     2194     2195     2196     2197     2198     2199     2200 
## 24.58983 25.09469 24.64593 26.16050 25.54345 25.59955 24.53373 24.81421 
##     2201     2202     2203     2204     2205     2206     2207     2208 
## 24.75812 25.71174 24.64593 25.37517 25.65564 25.48736 25.93612 24.81421 
##     2209     2210     2211     2212     2213     2214     2215     2216 
## 25.20688 24.75812 25.20688 24.64593 25.65564 24.98250 25.54345 25.76783 
##     2217     2218     2219     2220     2221     2222     2223     2224 
## 24.87031 24.92640 25.31907 25.20688 25.26297 25.37517 25.82393 25.09469 
##     2225     2226     2227     2228     2229     2230     2231     2232 
## 25.26297 25.26297 25.26297 24.64593 25.88002 24.53373 25.82393 25.65564 
##     2233     2234     2235     2236     2237     2238     2239     2240 
## 24.47764 25.09469 25.71174 24.92640 25.20688 25.43126 25.43126 25.37517 
##     2241     2242     2243     2244     2245     2246     2247     2248 
## 24.92640 25.48736 25.82393 25.48736 25.31907 25.43126 25.37517 24.70202 
##     2249     2250     2251     2252     2253     2254     2255     2256 
## 25.37517 25.43126 24.75812 25.48736 25.20688 25.54345 25.26297 25.82393 
##     2257     2258     2259     2260     2261     2262     2263     2264 
## 25.26297 25.65564 25.15078 24.92640 25.09469 24.92640 26.10441 24.98250 
##     2265     2266     2267     2268     2269     2270     2271     2272 
## 25.82393 25.31907 24.87031 25.59955 25.93612 25.43126 24.92640 25.15078 
##     2273     2274     2275     2276     2277     2278     2279     2280 
## 24.87031 24.98250 25.76783 25.31907 25.54345 24.70202 25.82393 25.76783 
##     2281     2282     2283     2284     2285     2286     2287     2288 
## 25.26297 24.98250 24.87031 25.82393 25.65564 25.71174 25.31907 25.65564 
##     2289     2290     2291     2292     2293     2294     2295     2296 
## 25.43126 24.70202 25.65564 24.92640 24.92640 25.37517 25.76783 25.31907 
##     2297     2298     2299     2300     2301     2302     2303     2304 
## 25.03859 24.92640 25.76783 25.43126 25.54345 25.76783 25.31907 25.71174 
##     2305     2306     2307     2308     2309     2310     2311     2312 
## 25.09469 25.15078 24.92640 24.64593 24.98250 24.58983 25.54345 25.09469 
##     2313     2314     2315     2316     2317     2318     2319     2320 
## 24.58983 24.42154 25.20688 25.59955 25.76783 25.76783 25.48736 25.48736 
##     2321     2322     2323     2324     2325     2326     2327     2328 
## 25.37517 25.93612 25.43126 25.09469 25.26297 25.26297 25.09469 25.43126 
##     2329     2330     2331     2332     2333     2334     2335     2336 
## 24.92640 25.88002 25.65564 25.65564 25.26297 25.37517 25.71174 25.37517 
##     2337     2338     2339     2340     2341     2342     2343     2344 
## 25.37517 25.37517 25.37517 25.09469 24.53373 25.76783 25.65564 25.26297 
##     2345     2346     2347     2348     2349     2350     2351     2352 
## 25.37517 25.88002 25.43126 25.59955 25.43126 25.15078 24.92640 25.09469 
##     2353     2354     2355     2356     2357     2358     2359     2360 
## 25.20688 25.43126 25.37517 25.93612 25.48736 25.20688 24.81421 24.64593 
##     2361     2362     2363     2364     2365     2366     2367     2368 
## 24.75812 25.48736 25.37517 24.87031 24.64593 25.82393 24.53373 24.81421 
##     2369     2370     2371     2372     2373     2374     2375     2376 
## 25.43126 25.65564 24.98250 25.37517 25.76783 25.03859 25.26297 25.09469 
##     2377     2378     2379     2380     2381     2382     2383     2384 
## 25.71174 24.92640 25.71174 25.76783 25.65564 25.65564 24.92640 25.43126 
##     2385     2386     2387     2388     2389     2390     2391     2392 
## 25.65564 26.10441 25.20688 25.99221 25.93612 24.81421 25.31907 25.43126 
##     2393     2394     2395     2396     2397     2398     2399     2400 
## 25.26297 25.71174 24.81421 24.36545 25.65564 25.20688 25.09469 25.54345 
##     2401     2402     2403     2404     2405     2406     2407     2408 
## 25.37517 24.81421 25.82393 24.92640 25.20688 25.65564 25.09469 25.59955 
##     2409     2410     2411     2412     2413     2414     2415     2416 
## 25.71174 25.09469 25.09469 24.92640 25.65564 25.20688 25.03859 25.20688 
##     2417     2418     2419     2420     2421     2422     2423     2424 
## 24.92640 25.48736 25.59955 25.20688 24.92640 25.43126 25.88002 25.99221 
##     2425     2426     2427     2428     2429     2430     2431     2432 
## 25.09469 25.65564 25.26297 25.82393 25.09469 24.64593 25.37517 24.98250 
##     2433     2434     2435     2436     2437     2438     2439     2440 
## 25.48736 25.65564 25.43126 25.37517 25.15078 25.37517 25.20688 25.59955 
##     2441     2442     2443     2444     2445     2446     2447     2448 
## 25.43126 25.65564 25.37517 24.81421 25.15078 25.37517 25.20688 25.48736 
##     2449     2450     2451     2452     2453     2454     2455     2456 
## 25.65564 24.87031 25.43126 25.37517 24.58983 25.65564 24.81421 25.03859 
##     2457     2458     2459     2460     2461     2462     2463     2464 
## 25.20688 24.98250 25.20688 25.09469 25.48736 25.20688 25.48736 24.36545 
##     2465     2466     2467     2468     2469     2470     2471     2472 
## 24.98250 24.36545 25.26297 25.65564 24.87031 25.99221 25.48736 24.98250 
##     2473     2474     2475     2476     2477     2478     2479     2480 
## 25.20688 25.76783 25.54345 25.71174 25.48736 25.71174 24.98250 25.65564 
##     2481     2482     2483     2484     2485     2486     2487     2488 
## 24.92640 25.37517 25.65564 24.81421 25.20688 25.31907 26.10441 25.03859 
##     2489     2490     2491     2492     2493     2494     2495     2496 
## 25.76783 25.37517 24.36545 24.92640 25.65564 25.48736 25.82393 25.59955 
##     2497     2498     2499     2500     2501     2502     2503     2504 
## 25.59955 25.03859 24.98250 25.48736 25.09469 24.92640 25.09469 24.81421 
##     2505     2506     2507     2508     2509     2510     2511     2512 
## 25.82393 24.47764 24.98250 25.59955 25.54345 25.37517 25.99221 25.71174 
##     2513     2514     2515     2516     2517     2518     2519     2520 
## 25.54345 25.15078 25.31907 24.98250 25.43126 25.26297 25.71174 25.03859 
##     2521     2522     2523     2524     2525     2526     2527     2528 
## 25.26297 25.09469 25.48736 25.09469 25.59955 25.03859 24.92640 25.37517 
##     2529     2530     2531     2532     2533     2534     2535     2536 
## 25.54345 25.31907 25.93612 25.20688 24.87031 25.09469 25.88002 24.58983 
##     2537     2538     2539     2540     2541     2542     2543     2544 
## 25.54345 25.76783 25.03859 25.09469 25.09469 24.98250 25.03859 24.87031 
##     2545     2546     2547     2548     2549     2550     2551     2552 
## 24.75812 25.20688 25.20688 25.37517 25.09469 24.81421 25.03859 25.15078 
##     2553     2554     2555     2556     2557     2558     2559     2560 
## 25.65564 26.10441 25.15078 24.36545 24.98250 24.75812 24.98250 25.31907 
##     2561     2562     2563     2564     2565     2566     2567     2568 
## 25.26297 25.37517 25.26297 25.20688 25.31907 24.42154 24.30935 25.76783 
##     2569     2570     2571     2572     2573     2574     2575     2576 
## 25.59955 25.48736 25.59955 25.26297 26.10441 24.58983 24.64593 25.43126 
##     2577     2578     2579     2580     2581     2582     2583     2584 
## 25.54345 25.31907 25.09469 24.75812 25.31907 25.43126 25.20688 25.03859 
##     2585     2586     2587     2588     2589     2590     2591     2592 
## 24.58983 24.58983 24.98250 25.54345 25.43126 24.53373 24.70202 24.92640 
##     2593     2594     2595     2596     2597     2598     2599     2600 
## 24.75812 25.54345 25.71174 25.65564 24.98250 25.65564 25.43126 24.64593 
##     2601     2602     2603     2604     2605     2606     2607     2608 
## 24.70202 25.31907 25.20688 24.87031 25.59955 24.64593 24.92640 25.03859 
##     2609     2610     2611     2612     2613     2614     2615     2616 
## 25.03859 25.88002 25.76783 25.48736 25.26297 25.26297 25.03859 25.37517 
##     2617     2618     2619     2620     2621     2622     2623     2624 
## 25.09469 25.03859 25.37517 25.65564 25.93612 25.31907 25.03859 25.26297 
##     2625     2626     2627     2628     2629     2630     2631     2632 
## 25.59955 25.15078 25.03859 25.54345 24.64593 24.58983 25.26297 24.92640 
##     2633     2634     2635     2636     2637     2638     2639     2640 
## 25.37517 25.20688 25.20688 24.92640 25.31907 24.25326 25.48736 24.64593 
##     2641     2642     2643     2644     2645     2646     2647     2648 
## 24.92640 25.48736 24.98250 25.43126 25.76783 25.71174 25.20688 25.54345 
##     2649     2650     2651     2652     2653     2654     2655     2656 
## 24.64593 26.21660 25.26297 25.48736 24.70202 25.31907 24.81421 25.99221 
##     2657     2658     2659     2660     2661     2662     2663     2664 
## 25.09469 25.03859 24.75812 25.37517 25.76783 25.48736 25.65564 24.81421 
##     2665     2666     2667     2668     2669     2670     2671     2672 
## 24.92640 25.37517 24.87031 25.09469 24.98250 25.65564 25.59955 24.98250 
##     2673     2674     2675     2676     2677     2678     2679     2680 
## 25.37517 25.48736 25.37517 25.20688 25.09469 24.64593 25.15078 25.20688 
##     2681     2682     2683     2684     2685     2686     2687     2688 
## 24.98250 25.59955 24.87031 25.20688 24.64593 25.26297 24.98250 24.58983 
##     2689     2690     2691     2692     2693     2694     2695     2696 
## 24.47764 25.88002 24.98250 25.37517 25.88002 25.65564 25.48736 24.36545 
##     2697     2698     2699     2700     2701     2702     2703     2704 
## 25.31907 25.09469 25.82393 25.26297 24.64593 25.71174 25.48736 25.76783 
##     2705     2706     2707     2708     2709     2710     2711     2712 
## 25.82393 24.92640 25.26297 25.82393 25.71174 25.09469 25.37517 25.43126 
##     2713     2714     2715     2716     2717     2718     2719     2720 
## 25.54345 25.31907 25.48736 25.88002 25.26297 25.20688 25.43126 25.65564 
##     2721     2722     2723     2724     2725     2726     2727     2728 
## 25.37517 25.43126 25.48736 24.92640 25.09469 25.82393 24.64593 24.81421 
##     2729     2730     2731     2732     2733     2734     2735     2736 
## 24.75812 24.92640 25.76783 25.93612 25.93612 24.47764 24.87031 25.71174 
##     2737     2738     2739     2740     2741     2742     2743     2744 
## 24.81421 24.81421 25.99221 25.20688 25.26297 25.59955 25.31907 25.43126 
##     2745     2746     2747     2748     2749     2750     2751     2752 
## 25.71174 24.47764 25.99221 24.98250 25.93612 25.76783 24.98250 24.92640 
##     2753     2754     2755     2756     2757     2758     2759     2760 
## 25.09469 25.82393 24.81421 25.20688 25.43126 24.98250 25.09469 24.53373 
##     2761     2762     2763     2764     2765     2766     2767     2768 
## 25.43126 24.98250 25.43126 24.98250 26.10441 25.20688 25.65564 25.09469 
##     2769     2770     2771     2772     2773     2774     2775     2776 
## 24.98250 25.76783 25.31907 25.43126 25.09469 24.81421 25.48736 25.43126 
##     2777     2778     2779     2780     2781     2782     2783     2784 
## 24.87031 25.15078 25.43126 24.58983 25.93612 25.09469 25.54345 25.48736 
##     2785     2786     2787     2788     2789     2790     2791     2792 
## 25.03859 25.65564 25.59955 25.15078 25.20688 25.65564 25.43126 25.09469 
##     2793     2794     2795     2796     2797     2798     2799     2800 
## 25.37517 25.43126 25.03859 25.65564 25.37517 24.92640 25.88002 25.09469 
##     2801     2802     2803     2804     2805     2806     2807     2808 
## 26.10441 24.87031 25.76783 25.48736 25.71174 24.87031 25.65564 25.59955 
##     2809     2810     2811     2812     2813     2814     2815     2816 
## 25.54345 25.59955 25.03859 25.76783 24.70202 24.81421 25.59955 25.54345 
##     2817     2818     2819     2820     2821     2822     2823     2824 
## 25.71174 24.47764 25.43126 25.48736 25.54345 24.87031 25.65564 25.20688 
##     2825     2826     2827     2828     2829     2830     2831     2832 
## 25.54345 24.75812 25.09469 25.65564 25.59955 25.82393 25.15078 25.59955 
##     2833     2834     2835     2836     2837     2838     2839     2840 
## 25.82393 25.31907 25.48736 25.03859 25.31907 25.54345 25.20688 25.43126 
##     2841     2842     2843     2844     2845     2846     2847     2848 
## 25.76783 25.26297 26.10441 25.03859 25.99221 25.59955 25.82393 25.65564 
##     2849     2850     2851     2852     2853     2854     2855     2856 
## 25.59955 25.31907 24.87031 25.71174 25.71174 24.64593 25.82393 25.54345 
##     2857     2858     2859     2860     2861     2862     2863     2864 
## 25.37517 24.98250 25.15078 25.88002 25.26297 24.98250 25.43126 25.20688 
##     2865     2866     2867     2868     2869     2870     2871     2872 
## 25.71174 25.26297 24.87031 25.65564 25.59955 24.87031 24.47764 24.92640 
##     2873     2874     2875     2876     2877     2878     2879     2880 
## 24.53373 25.93612 24.70202 25.54345 25.76783 25.31907 25.26297 24.92640 
##     2881     2882     2883     2884     2885     2886     2887     2888 
## 25.09469 25.76783 25.26297 25.88002 24.92640 24.98250 24.64593 25.26297 
##     2889     2890     2891     2892     2893     2894     2895     2896 
## 24.70202 25.43126 24.98250 24.70202 25.03859 25.48736 25.88002 25.20688 
##     2897     2898     2899     2900     2901     2902     2903     2904 
## 25.20688 25.43126 24.70202 25.37517 25.26297 26.10441 25.48736 25.71174 
##     2905     2906     2907     2908     2909     2910     2911     2912 
## 25.15078 25.15078 25.59955 24.75812 25.48736 24.58983 25.71174 25.59955 
##     2913     2914     2915     2916     2917     2918     2919     2920 
## 25.03859 25.76783 25.76783 25.54345 25.15078 26.10441 25.76783 25.65564 
##     2921     2922     2923     2924     2925     2926     2927     2928 
## 24.92640 25.26297 25.71174 24.87031 24.64593 24.75812 25.59955 25.15078 
##     2929     2930     2931     2932     2933     2934     2935     2936 
## 25.48736 25.71174 25.48736 25.31907 25.54345 24.92640 24.81421 25.26297 
##     2937     2938     2939     2940     2941     2942     2943     2944 
## 25.82393 25.99221 25.20688 25.15078 25.31907 24.81421 25.65564 25.54345 
##     2945     2946     2947     2948     2949     2950     2951     2952 
## 25.54345 25.26297 24.70202 26.10441 25.31907 25.15078 25.20688 25.03859 
##     2953     2954     2955     2956     2957     2958     2959     2960 
## 25.65564 24.98250 25.20688 25.76783 25.76783 25.54345 25.37517 25.43126 
##     2961     2962     2963     2964     2965     2966     2967     2968 
## 25.20688 25.20688 26.16050 25.82393 25.48736 25.71174 24.92640 25.54345 
##     2969     2970     2971     2972     2973     2974     2975     2976 
## 25.59955 24.58983 25.71174 25.31907 25.31907 25.37517 25.43126 25.71174 
##     2977     2978     2979     2980     2981     2982     2983     2984 
## 25.26297 25.59955 25.65564 25.31907 25.09469 25.43126 25.15078 25.26297 
##     2985     2986     2987     2988     2989     2990     2991     2992 
## 25.99221 25.09469 25.20688 25.59955 25.20688 25.20688 25.03859 26.21660 
##     2993     2994     2995     2996     2997     2998     2999     3000 
## 24.81421 25.76783 26.10441 25.71174 25.43126 25.37517 25.09469 25.65564 
##     3001     3002     3003     3004     3005     3006     3007     3008 
## 24.98250 25.09469 25.09469 25.93612 25.54345 25.76783 25.59955 25.82393 
##     3009     3010     3011     3012     3013     3014     3015     3016 
## 25.03859 24.75812 25.09469 25.65564 24.98250 25.93612 26.38488 25.03859 
##     3017     3018     3019     3020     3021     3022     3023     3024 
## 25.82393 25.37517 25.93612 24.92640 25.37517 25.48736 25.65564 25.03859 
##     3025     3026     3027     3028     3029     3030     3031     3032 
## 25.37517 25.20688 25.26297 25.43126 25.43126 25.71174 26.10441 25.43126 
##     3033     3034     3035     3036     3037     3038     3039     3040 
## 25.59955 24.81421 25.65564 25.54345 25.43126 24.75812 25.20688 25.65564 
##     3041     3042     3043     3044     3045     3046     3047     3048 
## 25.09469 25.59955 24.70202 25.31907 25.37517 25.26297 25.26297 25.59955 
##     3049     3050     3051     3052     3053     3054     3055     3056 
## 25.71174 25.54345 25.37517 25.43126 25.65564 25.26297 25.88002 25.15078 
##     3057     3058     3059     3060     3061     3062     3063     3064 
## 25.59955 25.43126 25.20688 25.03859 25.54345 25.65564 25.65564 25.54345 
##     3065     3066     3067     3068     3069     3070     3071     3072 
## 24.81421 25.37517 25.43126 25.26297 25.26297 25.76783 25.15078 25.59955 
##     3073     3074     3075     3076     3077     3078     3079     3080 
## 25.76783 25.71174 25.88002 24.81421 25.65564 25.65564 25.37517 25.48736 
##     3081     3082     3083     3084     3085     3086     3087     3088 
## 25.59955 25.31907 25.03859 25.20688 25.43126 25.88002 24.53373 25.15078 
##     3089     3090     3091     3092     3093     3094     3095     3096 
## 25.15078 25.26297 25.20688 25.71174 25.09469 25.43126 25.09469 25.54345 
##     3097     3098     3099     3100     3101     3102     3103     3104 
## 24.75812 25.03859 25.15078 25.31907 24.98250 25.65564 24.98250 25.09469 
##     3105     3106     3107     3108     3109     3110     3111     3112 
## 25.48736 25.20688 25.54345 25.82393 24.75812 25.15078 25.43126 25.48736 
##     3113     3114     3115     3116     3117     3118     3119     3120 
## 25.76783 25.15078 25.59955 25.20688 24.87031 25.88002 25.76783 25.31907 
##     3121     3122     3123     3124     3125     3126     3127     3128 
## 24.98250 26.49707 25.88002 25.48736 25.59955 25.03859 25.37517 25.03859 
##     3129     3130     3131     3132     3133     3134     3135     3136 
## 25.09469 24.70202 25.65564 25.48736 25.43126 24.81421 25.59955 26.04831 
##     3137     3138     3139     3140     3141     3142     3143     3144 
## 25.76783 25.09469 24.92640 25.65564 25.15078 25.31907 24.87031 25.26297 
##     3145     3146     3147     3148     3149     3150     3151     3152 
## 25.37517 25.59955 24.92640 25.15078 25.37517 25.71174 25.20688 25.15078 
##     3153     3154     3155     3156     3157     3158     3159     3160 
## 25.09469 25.31907 24.75812 24.64593 25.48736 25.03859 25.37517 24.14107 
##     3161     3162     3163     3164     3165     3166     3167     3168 
## 25.65564 24.92640 25.82393 25.03859 25.48736 25.37517 24.58983 24.92640 
##     3169     3170     3171     3172     3173     3174     3175     3176 
## 24.87031 25.54345 25.65564 25.20688 25.20688 24.36545 25.15078 25.54345 
##     3177     3178     3179     3180     3181     3182     3183     3184 
## 25.71174 26.16050 25.20688 24.98250 25.20688 24.53373 25.54345 24.87031 
##     3185     3186     3187     3188     3189     3190     3191     3192 
## 24.87031 24.87031 24.64593 24.87031 25.31907 25.71174 25.88002 26.16050 
##     3193     3194     3195     3196     3197     3198     3199     3200 
## 24.87031 25.54345 25.09469 25.93612 25.76783 24.75812 25.82393 25.31907 
##     3201     3202     3203     3204     3205     3206     3207     3208 
## 25.20688 25.15078 24.87031 24.81421 25.54345 24.87031 24.81421 24.47764 
##     3209     3210     3211     3212     3213     3214     3215     3216 
## 25.03859 24.81421 24.98250 25.09469 24.98250 24.98250 25.82393 24.92640 
##     3217     3218     3219     3220     3221     3222     3223     3224 
## 25.82393 25.20688 25.37517 25.20688 24.92640 25.20688 25.03859 25.09469 
##     3225     3226     3227     3228     3229     3230     3231     3232 
## 25.20688 24.70202 25.20688 24.53373 25.03859 24.98250 24.53373 24.98250 
##     3233     3234     3235     3236     3237     3238     3239     3240 
## 25.48736 24.58983 24.81421 26.10441 25.37517 25.03859 24.98250 25.71174 
##     3241     3242     3243     3244     3245     3246     3247     3248 
## 25.31907 24.42154 25.48736 24.92640 25.37517 24.19716 24.64593 25.48736 
##     3249     3250     3251     3252     3253     3254     3255     3256 
## 24.53373 25.03859 24.98250 25.54345 25.48736 25.65564 25.65564 25.20688 
##     3257     3258     3259     3260     3261     3262     3263     3264 
## 25.15078 25.54345 25.37517 25.20688 25.59955 25.48736 25.76783 25.48736 
##     3265     3266     3267     3268     3269     3270     3271     3272 
## 24.64593 24.75812 25.37517 25.82393 24.81421 25.03859 25.31907 24.92640 
##     3273     3274     3275     3276     3277     3278     3279     3280 
## 25.20688 25.03859 25.09469 25.09469 25.20688 25.43126 25.31907 24.75812 
##     3281     3282     3283     3284     3285     3286     3287     3288 
## 25.37517 24.42154 25.43126 24.87031 25.59955 25.31907 24.81421 25.03859 
##     3289     3290     3291     3292     3293     3294     3295     3296 
## 24.70202 25.26297 24.75812 24.87031 24.87031 25.65564 24.92640 24.92640 
##     3297     3298     3299     3300     3301     3302     3303     3304 
## 24.47764 25.09469 24.92640 24.64593 25.20688 25.76783 25.26297 25.37517 
##     3305     3306     3307     3308     3309     3310     3311     3312 
## 25.37517 24.87031 25.15078 25.03859 25.20688 25.48736 25.65564 24.47764 
##     3313     3314     3315     3316     3317     3318     3319     3320 
## 25.37517 25.43126 25.82393 24.81421 25.48736 25.65564 25.20688 24.64593 
##     3321     3322     3323     3324     3325     3326     3327     3328 
## 25.93612 25.59955 25.82393 24.92640 25.76783 25.82393 25.71174 24.87031 
##     3329     3330     3331     3332     3333     3334     3335     3336 
## 25.88002 25.71174 25.93612 25.37517 24.92640 25.93612 25.31907 25.31907 
##     3337     3338     3339     3340     3341     3342     3343     3344 
## 24.75812 24.81421 25.65564 25.09469 25.37517 25.37517 25.54345 25.26297 
##     3345     3346     3347     3348     3349     3350     3351     3352 
## 24.70202 25.43126 25.09469 25.26297 25.20688 24.92640 25.65564 25.99221 
##     3353     3354     3355     3356     3357     3358     3359     3360 
## 25.59955 25.59955 25.31907 25.65564 24.53373 25.65564 25.37517 25.09469 
##     3361     3362     3363     3364     3365     3366     3367     3368 
## 25.59955 24.92640 24.58983 25.48736 25.71174 24.70202 25.31907 24.75812 
##     3369     3370     3371     3372     3373     3374     3375     3376 
## 25.37517 25.31907 25.20688 25.76783 25.20688 24.81421 25.48736 25.59955 
##     3377     3378     3379     3380     3381     3382     3383     3384 
## 25.48736 25.76783 25.31907 25.09469 24.87031 24.70202 25.37517 26.10441 
##     3385     3386     3387     3388     3389     3390     3391     3392 
## 25.88002 24.53373 26.10441 25.54345 25.26297 25.03859 25.37517 24.98250 
##     3393     3394     3395     3396     3397     3398     3399     3400 
## 25.88002 25.48736 25.37517 25.20688 25.37517 25.37517 24.70202 25.20688 
##     3401     3402     3403     3404     3405     3406     3407     3408 
## 25.09469 25.76783 25.71174 25.26297 25.76783 25.31907 25.54345 25.93612 
##     3409     3410     3411     3412     3413     3414     3415     3416 
## 24.81421 25.54345 24.58983 24.75812 24.98250 25.43126 24.58983 25.48736 
##     3417     3418     3419     3420     3421     3422     3423     3424 
## 24.87031 24.92640 25.37517 25.31907 24.64593 24.70202 25.09469 25.48736 
##     3425     3426     3427     3428     3429     3430     3431     3432 
## 25.54345 25.03859 25.48736 24.92640 25.31907 24.92640 25.76783 24.92640 
##     3433     3434     3435     3436     3437     3438     3439     3440 
## 25.43126 24.70202 24.98250 24.70202 25.37517 25.20688 24.81421 24.92640 
##     3441     3442     3443     3444     3445     3446     3447     3448 
## 24.98250 24.64593 25.09469 24.87031 25.20688 25.20688 25.15078 25.54345 
##     3449     3450     3451     3452     3453     3454     3455     3456 
## 25.15078 25.88002 26.04831 25.43126 25.82393 25.43126 25.59955 25.31907 
##     3457     3458     3459     3460     3461     3462     3463     3464 
## 24.98250 24.75812 25.59955 25.59955 26.04831 25.82393 25.31907 25.15078 
##     3465     3466     3467     3468     3469     3470     3471     3472 
## 24.87031 25.20688 25.26297 25.82393 25.43126 24.92640 24.98250 25.54345 
##     3473     3474     3475     3476     3477     3478     3479     3480 
## 25.43126 24.92640 25.48736 25.20688 25.54345 25.65564 25.76783 25.48736 
##     3481     3482     3483     3484     3485     3486     3487     3488 
## 25.37517 25.37517 24.81421 25.93612 25.99221 24.92640 25.48736 25.43126 
##     3489     3490     3491     3492     3493     3494     3495     3496 
## 24.75812 25.48736 24.64593 25.88002 25.65564 25.31907 25.15078 25.48736 
##     3497     3498     3499     3500     3501     3502     3503     3504 
## 25.20688 25.48736 24.58983 25.15078 24.64593 25.71174 25.71174 25.76783 
##     3505     3506     3507     3508     3509     3510     3511     3512 
## 24.92640 25.31907 25.43126 25.65564 24.64593 24.92640 24.81421 25.15078 
##     3513     3514     3515     3516     3517     3518     3519     3520 
## 25.48736 24.81421 25.59955 24.75812 25.71174 25.48736 25.54345 26.04831 
##     3521     3522     3523     3524     3525     3526     3527     3528 
## 24.64593 25.48736 25.43126 25.20688 25.99221 25.20688 24.92640 25.31907 
##     3529     3530     3531     3532     3533     3534     3535     3536 
## 25.09469 25.37517 25.37517 25.37517 24.98250 25.71174 25.37517 25.31907 
##     3537     3538     3539     3540     3541     3542     3543     3544 
## 26.04831 25.88002 24.81421 24.70202 25.20688 25.09469 25.09469 25.31907 
##     3545     3546     3547     3548     3549     3550     3551     3552 
## 25.37517 25.03859 25.09469 25.09469 25.71174 24.64593 25.82393 24.92640 
##     3553     3554     3555     3556     3557     3558     3559     3560 
## 25.43126 24.81421 25.31907 24.87031 25.76783 25.71174 24.81421 25.15078 
##     3561     3562     3563     3564     3565     3566     3567     3568 
## 25.26297 24.98250 25.09469 25.26297 25.82393 25.26297 25.15078 25.20688 
##     3569     3570     3571     3572     3573     3574     3575     3576 
## 25.43126 25.09469 25.76783 24.42154 24.64593 25.93612 25.31907 24.36545 
##     3577     3578     3579     3580     3581     3582     3583     3584 
## 25.54345 25.48736 24.81421 25.99221 24.92640 25.76783 25.71174 25.99221 
##     3585     3586     3587     3588     3589     3590     3591     3592 
## 25.99221 25.99221 25.48736 25.37517 25.76783 25.59955 25.48736 25.88002 
##     3593     3594     3595     3596     3597     3598     3599     3600 
## 25.93612 25.31907 25.09469 26.16050 24.70202 25.20688 25.31907 25.43126 
##     3601     3602     3603     3604     3605     3606     3607     3608 
## 25.43126 25.20688 24.87031 25.20688 25.54345 24.92640 24.98250 25.48736 
##     3609     3610     3611     3612     3613     3614     3615     3616 
## 24.81421 25.59955 25.65564 25.88002 24.92640 25.20688 24.98250 25.43126 
##     3617     3618     3619     3620     3621     3622     3623     3624 
## 25.71174 25.48736 25.65564 25.65564 25.48736 25.48736 24.70202 25.76783 
##     3625     3626     3627     3628     3629     3630     3631     3632 
## 25.48736 25.03859 24.87031 25.65564 24.58983 25.71174 24.75812 24.98250 
##     3633     3634     3635     3636     3637     3638     3639     3640 
## 25.54345 25.54345 25.26297 25.71174 25.20688 25.37517 24.70202 24.75812 
##     3641     3642     3643     3644     3645     3646     3647     3648 
## 24.81421 24.81421 25.54345 25.65564 25.59955 25.82393 24.92640 25.65564 
##     3649     3650     3651     3652     3653     3654     3655     3656 
## 25.15078 25.03859 25.20688 25.26297 25.54345 25.03859 24.64593 25.65564 
##     3657     3658     3659     3660     3661     3662     3663     3664 
## 25.59955 25.48736 25.09469 25.54345 25.03859 25.71174 24.53373 24.42154 
##     3665     3666     3667     3668     3669     3670     3671     3672 
## 25.20688 25.09469 25.54345 24.64593 25.99221 26.21660 25.09469 25.76783 
##     3673     3674     3675     3676     3677     3678     3679     3680 
## 25.59955 25.31907 25.82393 25.20688 25.20688 25.59955 25.26297 25.37517 
##     3681     3682     3683     3684     3685     3686     3687     3688 
## 24.47764 24.75812 25.48736 25.48736 25.03859 25.82393 25.43126 25.43126 
##     3689     3690     3691     3692     3693     3694     3695     3696 
## 25.93612 25.93612 25.65564 25.20688 25.76783 25.20688 24.64593 25.43126 
##     3697     3698     3699     3700     3701     3702     3703     3704 
## 25.09469 25.59955 25.26297 24.98250 25.20688 25.88002 25.65564 25.09469 
##     3705     3706     3707     3708     3709     3710     3711     3712 
## 25.20688 25.82393 25.31907 24.70202 25.76783 24.81421 25.48736 25.09469 
##     3713     3714     3715     3716     3717     3718     3719     3720 
## 24.92640 24.98250 25.76783 25.20688 24.98250 25.59955 25.65564 25.93612 
##     3721     3722     3723     3724     3725     3726     3727     3728 
## 25.71174 25.54345 25.82393 25.43126 25.43126 25.37517 25.09469 25.37517 
##     3729     3730     3731     3732     3733     3734     3735     3736 
## 24.98250 25.15078 25.20688 25.82393 25.82393 25.31907 25.31907 25.65564 
##     3737     3738     3739     3740     3741     3742     3743     3744 
## 25.54345 24.47764 25.31907 25.15078 25.20688 24.92640 24.98250 25.54345 
##     3745     3746     3747     3748     3749     3750     3751     3752 
## 25.43126 24.92640 25.54345 25.48736 24.87031 24.75812 25.37517 25.71174 
##     3753     3754     3755     3756     3757     3758     3759     3760 
## 25.15078 25.48736 25.20688 25.76783 25.48736 25.76783 24.92640 24.98250 
##     3761     3762     3763     3764     3765     3766     3767     3768 
## 25.82393 24.70202 24.92640 25.37517 25.93612 25.59955 25.59955 25.09469 
##     3769     3770     3771     3772     3773     3774     3775     3776 
## 25.09469 25.93612 24.87031 25.65564 25.76783 25.20688 24.92640 25.76783 
##     3777     3778     3779     3780     3781     3782     3783     3784 
## 25.93612 25.09469 25.31907 25.65564 25.65564 25.43126 25.26297 25.43126 
##     3785     3786     3787     3788     3789     3790     3791     3792 
## 25.65564 25.54345 25.88002 24.81421 24.92640 25.20688 25.20688 25.03859 
##     3793     3794     3795     3796     3797     3798     3799     3800 
## 25.31907 25.31907 24.81421 25.76783 25.48736 25.37517 24.98250 24.87031 
##     3801     3802     3803     3804     3805     3806     3807     3808 
## 25.09469 25.59955 25.03859 25.31907 25.76783 25.37517 25.31907 25.31907 
##     3809     3810     3811     3812     3813     3814     3815     3816 
## 25.09469 24.58983 25.93612 24.70202 25.20688 25.37517 25.99221 25.26297 
##     3817     3818     3819     3820     3821     3822     3823     3824 
## 25.54345 24.81421 25.65564 25.37517 24.75812 25.54345 25.54345 25.26297 
##     3825     3826     3827     3828     3829     3830     3831     3832 
## 25.43126 25.09469 25.82393 25.43126 25.09469 25.09469 26.10441 25.31907 
##     3833     3834     3835     3836     3837     3838     3839     3840 
## 25.54345 25.31907 25.37517 25.43126 25.26297 25.09469 24.92640 25.37517 
##     3841     3842     3843     3844     3845     3846     3847     3848 
## 25.20688 25.76783 25.71174 24.92640 25.09469 24.92640 26.04831 25.54345 
##     3849     3850     3851     3852     3853     3854     3855     3856 
## 25.54345 25.54345 25.71174 25.48736 24.70202 25.09469 25.09469 24.98250 
##     3857     3858     3859     3860     3861     3862     3863     3864 
## 25.03859 25.65564 25.43126 24.75812 25.20688 25.76783 25.20688 25.59955 
##     3865     3866     3867     3868     3869     3870     3871     3872 
## 25.37517 25.59955 25.37517 25.26297 25.09469 25.20688 25.93612 25.09469 
##     3873     3874     3875     3876     3877     3878     3879     3880 
## 25.65564 25.48736 25.15078 24.75812 25.31907 25.71174 25.09469 25.26297 
##     3881     3882     3883     3884     3885     3886     3887     3888 
## 25.31907 25.54345 24.92640 25.03859 24.81421 25.09469 25.09469 25.31907 
##     3889     3890     3891     3892     3893     3894     3895     3896 
## 25.03859 25.43126 24.87031 25.48736 25.03859 25.15078 25.54345 25.37517 
##     3897     3898     3899     3900     3901     3902     3903     3904 
## 25.09469 24.64593 23.91668 24.53373 25.03859 24.98250 24.92640 24.98250 
##     3905     3906     3907     3908     3909     3910     3911     3912 
## 25.20688 25.43126 25.15078 26.04831 25.03859 25.20688 25.48736 25.65564 
##     3913     3914     3915     3916     3917     3918     3919     3920 
## 25.76783 25.26297 24.75812 25.54345 24.92640 24.87031 24.70202 25.09469 
##     3921     3922     3923     3924     3925     3926     3927     3928 
## 25.09469 24.98250 25.31907 25.37517 25.76783 25.09469 25.37517 25.54345 
##     3929     3930     3931     3932     3933     3934     3935     3936 
## 25.88002 24.53373 24.92640 25.20688 24.87031 25.37517 25.59955 25.09469 
##     3937     3938     3939     3940     3941     3942     3943     3944 
## 24.92640 25.48736 25.99221 25.54345 25.15078 25.54345 24.87031 24.98250 
##     3945     3946     3947     3948     3949     3950     3951     3952 
## 25.15078 24.42154 24.08497 25.48736 25.76783 24.81421 25.48736 25.37517 
##     3953     3954     3955     3956     3957     3958     3959     3960 
## 25.20688 24.92640 25.31907 25.65564 25.43126 25.48736 25.93612 26.04831 
##     3961     3962     3963     3964     3965     3966     3967     3968 
## 24.92640 24.81421 24.98250 25.15078 24.58983 25.37517 25.43126 24.81421 
##     3969     3970     3971     3972     3973     3974     3975     3976 
## 25.59955 25.37517 24.87031 25.15078 25.48736 24.53373 24.75812 25.43126 
##     3977     3978     3979     3980     3981     3982     3983     3984 
## 25.65564 25.20688 25.20688 24.81421 25.71174 25.59955 25.15078 25.15078 
##     3985     3986     3987     3988     3989     3990     3991     3992 
## 24.81421 25.09469 25.48736 24.98250 25.54345 24.92640 25.71174 24.87031 
##     3993     3994     3995     3996     3997     3998     3999     4000 
## 24.92640 24.70202 25.09469 24.75812 25.71174 24.75812 24.92640 24.98250 
##     4001     4002     4003     4004     4005     4006     4007     4008 
## 24.75812 25.31907 24.75812 25.15078 25.03859 25.03859 25.31907 25.15078 
##     4009     4010     4011     4012     4013     4014     4015     4016 
## 25.88002 24.98250 25.37517 24.98250 25.09469 25.20688 25.09469 25.31907 
##     4017     4018     4019     4020     4021     4022     4023     4024 
## 25.20688 24.58983 24.87031 24.98250 25.93612 25.20688 24.92640 25.26297 
##     4025     4026     4027     4028     4029     4030     4031     4032 
## 25.09469 25.09469 25.48736 24.92640 25.26297 25.76783 25.48736 25.03859 
##     4033     4034     4035     4036     4037     4038     4039     4040 
## 25.03859 25.59955 25.20688 24.87031 24.87031 24.98250 24.42154 25.54345 
##     4041     4042     4043     4044     4045     4046     4047     4048 
## 25.26297 25.88002 24.58983 24.64593 25.03859 25.76783 24.98250 25.59955 
##     4049     4050     4051     4052     4053     4054     4055     4056 
## 25.93612 25.43126 24.92640 25.37517 25.65564 25.15078 25.82393 25.59955 
##     4057     4058     4059     4060     4061     4062     4063     4064 
## 25.15078 25.37517 24.70202 25.26297 25.71174 25.37517 25.37517 24.87031 
##     4065     4066     4067     4068     4069     4070     4071     4072 
## 25.31907 24.42154 25.48736 24.81421 25.03859 24.98250 24.58983 25.37517 
##     4073     4074     4075     4076     4077     4078     4079     4080 
## 25.26297 25.48736 25.09469 25.15078 25.82393 24.53373 25.20688 24.92640 
##     4081     4082     4083     4084     4085     4086     4087     4088 
## 24.98250 24.98250 25.99221 24.58983 25.37517 24.58983 25.31907 25.20688 
##     4089     4090     4091     4092     4093     4094     4095     4096 
## 25.48736 25.20688 25.76783 25.26297 25.65564 25.09469 24.75812 24.47764 
##     4097     4098     4099     4100     4101     4102     4103     4104 
## 24.30935 24.81421 25.37517 25.03859 24.81421 25.15078 24.47764 25.37517 
##     4105     4106     4107     4108     4109     4110     4111     4112 
## 25.48736 25.03859 25.26297 25.09469 24.92640 25.15078 25.37517 25.59955 
##     4113     4114     4115     4116     4117     4118     4119     4120 
## 25.20688 25.37517 26.04831 24.92640 24.98250 25.37517 24.98250 25.59955 
##     4121     4122     4123     4124     4125     4126     4127     4128 
## 25.09469 24.81421 25.54345 25.37517 25.48736 25.48736 25.59955 26.10441 
##     4129     4130     4131     4132     4133     4134     4135     4136 
## 25.65564 25.26297 25.31907 24.58983 25.09469 25.20688 25.03859 25.48736 
##     4137     4138     4139     4140     4141     4142     4143     4144 
## 24.87031 24.98250 25.20688 24.92640 24.92640 26.38488 24.47764 25.20688 
##     4145     4146     4147     4148     4149     4150     4151     4152 
## 24.30935 25.82393 25.31907 25.20688 25.71174 25.48736 25.59955 25.43126 
##     4153     4154     4155     4156     4157     4158     4159     4160 
## 25.03859 25.26297 24.92640 25.03859 25.76783 25.82393 25.37517 25.43126 
##     4161     4162     4163     4164     4165     4166     4167     4168 
## 25.48736 25.31907 25.31907 24.92640 24.98250 24.64593 25.54345 25.37517 
##     4169     4170     4171     4172     4173     4174     4175     4176 
## 24.92640 24.98250 24.81421 26.04831 25.37517 25.48736 25.88002 24.81421 
##     4177     4178     4179     4180     4181     4182     4183     4184 
## 25.37517 24.58983 25.37517 24.81421 24.92640 26.38488 25.37517 25.99221 
##     4185     4186     4187     4188     4189     4190     4191     4192 
## 25.20688 24.75812 24.70202 25.31907 25.20688 25.48736 24.81421 25.20688 
##     4193     4194     4195     4196     4197     4198     4199     4200 
## 25.43126 25.31907 25.43126 25.20688 25.09469 25.37517 25.59955 25.03859 
##     4201     4202     4203     4204     4205     4206     4207     4208 
## 25.43126 25.37517 25.20688 25.20688 25.26297 25.20688 25.09469 25.26297 
##     4209     4210     4211     4212     4213     4214     4215     4216 
## 25.43126 25.26297 25.54345 25.54345 24.98250 24.53373 25.65564 25.82393 
##     4217     4218     4219     4220     4221     4222     4223     4224 
## 24.81421 25.59955 26.16050 25.65564 25.20688 25.15078 25.26297 25.20688 
##     4225     4226     4227     4228     4229     4230     4231     4232 
## 25.43126 25.09469 25.37517 25.65564 25.09469 25.03859 25.48736 25.93612 
##     4233     4234     4235     4236     4237     4238     4239     4240 
## 24.98250 24.98250 25.48736 24.98250 25.71174 25.03859 25.03859 25.59955 
##     4241     4242     4243     4244     4245     4246     4247     4248 
## 24.92640 25.37517 25.43126 23.97278 24.64593 24.70202 25.59955 25.88002 
##     4249     4250     4251     4252     4253     4254     4255     4256 
## 25.88002 25.20688 25.54345 25.20688 25.43126 25.48736 25.65564 25.82393 
##     4257     4258     4259     4260     4261     4262     4263     4264 
## 25.37517 25.48736 25.93612 24.70202 25.54345 24.92640 24.92640 25.48736 
##     4265     4266     4267     4268     4269     4270     4271     4272 
## 25.65564 24.64593 25.09469 24.47764 25.65564 25.31907 24.81421 24.98250 
##     4273     4274     4275     4276     4277     4278     4279     4280 
## 25.37517 25.54345 25.43126 24.30935 24.64593 25.31907 24.81421 25.20688 
##     4281     4282     4283     4284     4285     4286     4287     4288 
## 24.64593 25.20688 25.15078 25.99221 25.43126 25.20688 25.20688 25.65564 
##     4289     4290     4291     4292     4293     4294     4295     4296 
## 25.71174 25.48736 25.31907 25.76783 24.70202 24.70202 25.03859 25.99221 
##     4297     4298     4299     4300     4301     4302     4303     4304 
## 25.71174 25.59955 25.76783 25.37517 25.03859 25.71174 25.76783 25.09469 
##     4305     4306     4307     4308     4309     4310     4311     4312 
## 24.53373 25.43126 25.65564 25.54345 25.48736 25.88002 24.98250 25.37517 
##     4313     4314     4315     4316     4317     4318     4319     4320 
## 25.31907 25.54345 25.37517 25.31907 25.20688 24.87031 25.20688 25.76783 
##     4321     4322     4323     4324     4325     4326     4327     4328 
## 25.82393 25.82393 25.99221 25.54345 25.09469 25.37517 25.20688 24.81421 
##     4329     4330     4331     4332     4333     4334     4335     4336 
## 25.37517 25.93612 25.59955 25.59955 25.37517 25.43126 25.31907 25.65564 
##     4337     4338     4339     4340     4341     4342     4343     4344 
## 25.48736 26.10441 25.48736 25.20688 25.43126 24.81421 24.98250 25.82393 
##     4345     4346     4347     4348     4349     4350     4351     4352 
## 25.20688 25.71174 25.71174 25.09469 25.65564 25.48736 25.26297 26.04831 
##     4353     4354     4355     4356     4357     4358     4359     4360 
## 25.43126 25.37517 25.48736 25.31907 25.15078 25.54345 26.21660 25.48736 
##     4361     4362     4363     4364     4365     4366     4367     4368 
## 25.76783 25.09469 25.59955 25.82393 25.09469 24.92640 25.31907 25.59955 
##     4369     4370     4371     4372     4373     4374     4375     4376 
## 25.31907 25.31907 24.47764 25.31907 26.04831 25.71174 25.59955 25.71174 
##     4377     4378     4379     4380     4381     4382     4383     4384 
## 25.93612 25.71174 25.76783 24.47764 25.31907 25.54345 25.31907 24.92640 
##     4385     4386     4387     4388     4389     4390     4391     4392 
## 25.48736 24.92640 25.31907 25.09469 25.71174 25.20688 25.03859 25.03859 
##     4393     4394     4395     4396     4397     4398     4399     4400 
## 25.09469 25.31907 25.15078 25.82393 25.09469 24.87031 25.37517 24.64593 
##     4401     4402     4403     4404     4405     4406     4407     4408 
## 25.09469 25.15078 25.37517 24.92640 24.42154 25.20688 24.25326 24.75812 
##     4409     4410     4411     4412     4413     4414     4415     4416 
## 25.88002 24.98250 25.26297 26.04831 24.98250 25.43126 25.09469 25.09469 
##     4417     4418     4419     4420     4421     4422     4423     4424 
## 24.75812 25.09469 25.82393 25.65564 25.37517 25.59955 25.26297 25.54345 
##     4425     4426     4427     4428     4429     4430     4431     4432 
## 25.54345 24.98250 25.48736 25.82393 25.26297 25.54345 25.76783 24.75812 
##     4433     4434     4435     4436     4437     4438     4439     4440 
## 25.43126 25.20688 25.15078 24.92640 24.98250 25.09469 25.20688 25.20688 
##     4441     4442     4443     4444     4445     4446     4447     4448 
## 25.43126 25.20688 25.71174 25.59955 25.82393 25.82393 25.48736 25.71174 
##     4449     4450     4451     4452     4453     4454     4455     4456 
## 25.26297 26.16050 25.37517 25.20688 24.98250 25.65564 25.48736 25.65564 
##     4457     4458     4459     4460     4461     4462     4463     4464 
## 25.54345 25.37517 25.65564 25.65564 25.37517 25.03859 25.20688 25.93612 
##     4465     4466     4467     4468     4469     4470     4471     4472 
## 25.71174 25.03859 25.31907 24.98250 25.48736 25.20688 25.37517 25.20688 
##     4473     4474     4475     4476     4477     4478     4479     4480 
## 25.59955 25.43126 25.48736 25.82393 24.92640 24.98250 25.37517 25.54345 
##     4481     4482     4483     4484     4485     4486     4487     4488 
## 25.43126 25.31907 25.88002 26.10441 25.82393 25.31907 25.26297 24.92640 
##     4489     4490     4491     4492     4493     4494     4495     4496 
## 25.59955 25.65564 25.48736 25.26297 25.48736 25.82393 25.65564 24.70202 
##     4497     4498     4499     4500     4501     4502     4503     4504 
## 25.15078 25.15078 25.71174 25.48736 25.88002 25.76783 25.26297 25.48736 
##     4505     4506     4507     4508     4509     4510     4511     4512 
## 25.09469 25.26297 24.81421 24.87031 25.26297 24.64593 25.54345 25.48736 
##     4513     4514     4515     4516     4517     4518     4519     4520 
## 24.87031 25.99221 25.59955 25.48736 25.54345 25.82393 26.04831 25.54345 
##     4521     4522     4523     4524     4525     4526     4527     4528 
## 25.37517 24.75812 25.54345 25.71174 25.65564 25.20688 25.65564 25.93612 
##     4529     4530     4531     4532     4533     4534     4535     4536 
## 25.26297 25.37517 24.98250 25.03859 25.59955 25.09469 25.09469 24.98250 
##     4537     4538     4539     4540     4541     4542     4543     4544 
## 25.71174 25.37517 25.54345 25.71174 25.65564 24.53373 26.10441 25.54345 
##     4545     4546     4547     4548     4549     4550     4551     4552 
## 25.54345 25.54345 25.03859 25.54345 26.21660 24.92640 25.31907 25.20688 
##     4553     4554     4555     4556     4557     4558     4559     4560 
## 24.02888 25.88002 25.03859 24.92640 25.71174 26.10441 25.65564 25.26297 
##     4561     4562     4563     4564     4565     4566     4567     4568 
## 25.20688 25.54345 25.09469 25.48736 24.98250 25.37517 25.20688 25.26297 
##     4569     4570     4571     4572     4573     4574     4575     4576 
## 25.31907 25.09469 25.43126 25.71174 25.03859 24.64593 25.65564 25.20688 
##     4577     4578     4579     4580     4581     4582     4583     4584 
## 25.54345 25.88002 25.03859 25.09469 25.54345 25.54345 25.09469 25.31907 
##     4585     4586     4587     4588     4589     4590     4591     4592 
## 25.03859 25.20688 24.75812 25.76783 24.92640 25.26297 25.43126 25.93612 
##     4593     4594     4595     4596     4597     4598     4599     4600 
## 25.37517 25.20688 25.43126 24.92640 25.20688 24.98250 25.93612 24.92640 
##     4601     4602     4603     4604     4605     4606     4607     4608 
## 24.98250 25.48736 24.64593 24.81421 24.87031 25.65564 24.53373 25.71174 
##     4609     4610     4611     4612     4613     4614     4615     4616 
## 25.76783 25.82393 25.09469 25.48736 25.99221 24.92640 25.54345 25.20688 
##     4617     4618     4619     4620     4621     4622     4623     4624 
## 25.20688 25.20688 24.98250 25.71174 24.81421 25.37517 25.59955 24.81421 
##     4625     4626     4627     4628     4629     4630     4631     4632 
## 24.58983 25.15078 25.03859 25.31907 25.09469 25.76783 24.98250 25.09469 
##     4633     4634     4635     4636     4637     4638     4639     4640 
## 25.54345 24.64593 25.15078 25.31907 25.54345 25.48736 25.37517 24.64593 
##     4641     4642     4643     4644     4645     4646     4647     4648 
## 24.64593 25.09469 25.09469 25.26297 25.31907 25.76783 24.75812 25.09469 
##     4649     4650     4651     4652     4653     4654     4655     4656 
## 25.43126 25.59955 25.48736 25.71174 24.92640 25.20688 25.88002 25.59955 
##     4657     4658     4659     4660     4661     4662     4663     4664 
## 25.31907 24.92640 25.20688 24.92640 25.20688 25.15078 24.75812 25.03859 
##     4665     4666     4667     4668     4669     4670     4671     4672 
## 25.43126 25.37517 25.20688 24.98250 25.54345 25.43126 25.03859 24.75812 
##     4673     4674     4675     4676     4677     4678     4679     4680 
## 24.64593 25.26297 25.09469 25.03859 25.31907 24.75812 24.70202 25.09469 
##     4681     4682     4683     4684     4685     4686     4687     4688 
## 25.26297 24.92640 24.58983 25.15078 24.87031 25.03859 25.09469 25.59955 
##     4689     4690     4691     4692     4693     4694     4695     4696 
## 24.53373 25.76783 25.37517 24.98250 25.48736 25.03859 25.37517 24.92640 
##     4697     4698     4699     4700     4701     4702     4703     4704 
## 24.70202 25.37517 25.09469 25.15078 24.47764 25.54345 25.26297 25.48736 
##     4705     4706     4707     4708     4709     4710     4711     4712 
## 24.64593 25.59955 26.38488 24.92640 25.09469 24.75812 25.09469 25.09469 
##     4713     4714     4715     4716     4717     4718     4719     4720 
## 24.75812 24.92640 24.87031 25.03859 24.36545 25.65564 26.04831 24.98250 
##     4721     4722     4723     4724     4725     4726     4727     4728 
## 24.87031 24.92640 25.03859 25.37517 25.82393 25.59955 25.99221 25.20688 
##     4729     4730     4731     4732     4733     4734     4735     4736 
## 24.81421 25.26297 24.64593 25.31907 24.53373 24.64593 24.53373 25.76783 
##     4737     4738     4739     4740     4741     4742     4743     4744 
## 25.09469 24.98250 25.65564 25.82393 25.15078 25.26297 26.04831 25.54345 
##     4745     4746     4747     4748     4749     4750     4751     4752 
## 25.48736 25.71174 25.54345 24.98250 25.31907 25.03859 25.26297 24.92640 
##     4753     4754     4755     4756     4757     4758     4759     4760 
## 25.54345 25.09469 25.31907 25.43126 25.03859 24.81421 25.65564 25.09469 
##     4761     4762     4763     4764     4765     4766     4767     4768 
## 25.20688 24.75812 24.92640 25.37517 25.48736 24.64593 24.87031 25.09469 
##     4769     4770     4771     4772     4773     4774     4775     4776 
## 25.48736 25.03859 24.87031 24.53373 25.65564 25.48736 24.64593 24.87031 
##     4777     4778     4779     4780     4781     4782     4783     4784 
## 25.09469 25.20688 25.48736 25.59955 24.70202 25.09469 25.09469 24.81421 
##     4785     4786     4787     4788     4789     4790     4791     4792 
## 25.76783 25.71174 25.20688 25.09469 24.75812 25.54345 25.20688 25.03859 
##     4793     4794     4795     4796     4797     4798     4799     4800 
## 25.09469 25.99221 25.37517 25.59955 25.76783 25.20688 24.75812 25.37517 
##     4801     4802     4803     4804     4805     4806     4807     4808 
## 25.31907 24.64593 24.64593 24.92640 25.59955 25.54345 25.03859 25.54345 
##     4809     4810     4811     4812     4813     4814     4815     4816 
## 25.09469 25.82393 24.92640 25.82393 25.26297 24.64593 25.59955 25.03859 
##     4817     4818     4819     4820     4821     4822     4823     4824 
## 25.37517 24.53373 25.03859 25.03859 25.43126 25.26297 25.54345 25.82393 
##     4825     4826     4827     4828     4829     4830     4831     4832 
## 24.64593 25.26297 24.81421 25.37517 25.59955 23.86059 24.87031 25.37517 
##     4833     4834     4835     4836     4837     4838     4839     4840 
## 25.71174 25.82393 24.98250 25.43126 25.03859 24.64593 24.92640 24.92640 
##     4841     4842     4843     4844     4845     4846     4847     4848 
## 25.03859 25.20688 25.09469 24.64593 25.59955 25.31907 25.76783 25.65564 
##     4849     4850     4851     4852     4853     4854     4855     4856 
## 25.48736 25.43126 25.20688 25.09469 24.58983 25.31907 25.65564 24.64593 
##     4857     4858     4859     4860     4861     4862     4863     4864 
## 25.09469 25.43126 25.54345 25.99221 25.20688 25.31907 25.26297 25.37517 
##     4865     4866     4867     4868     4869     4870     4871     4872 
## 25.37517 25.54345 25.48736 24.81421 26.44098 24.92640 25.20688 25.15078 
##     4873     4874     4875     4876     4877     4878     4879     4880 
## 25.48736 25.03859 25.20688 25.37517 24.87031 25.71174 24.87031 25.37517 
##     4881     4882     4883     4884     4885     4886     4887     4888 
## 25.43126 25.31907 25.76783 25.03859 25.59955 25.65564 24.81421 25.37517 
##     4889     4890     4891     4892     4893     4894     4895     4896 
## 25.09469 25.20688 25.09469 25.37517 26.16050 24.70202 25.71174 24.58983 
##     4897     4898     4899     4900     4901     4902     4903     4904 
## 25.43126 25.20688 25.09469 25.43126 25.65564 24.75812 24.92640 24.53373 
##     4905     4906     4907     4908     4909     4910     4911     4912 
## 25.82393 25.37517 25.20688 25.09469 26.04831 25.48736 24.92640 25.26297 
##     4913     4914     4915     4916     4917     4918     4919     4920 
## 25.76783 24.92640 25.48736 25.43126 25.71174 26.04831 24.75812 24.92640 
##     4921     4922     4923     4924     4925     4926     4927     4928 
## 25.03859 24.98250 24.36545 25.03859 24.87031 25.20688 24.64593 25.48736 
##     4929     4930     4931     4932     4933     4934     4935     4936 
## 25.15078 25.03859 25.54345 25.31907 25.93612 24.25326 25.37517 25.54345 
##     4937     4938     4939     4940     4941     4942     4943     4944 
## 25.26297 25.71174 24.75812 25.71174 25.65564 24.92640 25.15078 25.65564 
##     4945     4946     4947     4948     4949     4950     4951     4952 
## 25.43126 26.21660 25.09469 25.09469 24.47764 24.92640 24.53373 25.76783 
##     4953     4954     4955     4956     4957     4958     4959     4960 
## 24.81421 25.03859 25.09469 24.92640 25.20688 25.48736 25.82393 24.75812 
##     4961     4962     4963     4964     4965     4966     4967     4968 
## 25.99221 24.98250 25.43126 25.20688 25.48736 25.76783 25.43126 25.59955 
##     4969     4970     4971     4972     4973     4974     4975     4976 
## 24.98250 26.10441 25.31907 25.88002 25.15078 25.71174 25.48736 25.37517 
##     4977     4978     4979     4980     4981     4982     4983     4984 
## 25.37517 25.82393 25.88002 24.92640 25.20688 25.54345 24.30935 25.20688 
##     4985     4986     4987     4988     4989     4990     4991     4992 
## 25.43126 25.54345 25.03859 25.09469 24.81421 25.43126 25.26297 25.15078 
##     4993     4994     4995     4996     4997     4998     4999     5000 
## 25.31907 25.20688 24.98250 25.65564 25.54345 25.88002 25.26297 25.20688 
##     5001     5002     5003     5004     5005     5006     5007     5008 
## 25.09469 25.09469 25.65564 25.03859 24.92640 25.09469 24.87031 25.59955 
##     5009     5010     5011     5012     5013     5014     5015     5016 
## 25.48736 25.54345 25.37517 26.10441 24.75812 24.92640 25.93612 25.48736 
##     5017     5018     5019     5020     5021     5022     5023     5024 
## 25.37517 25.03859 24.81421 25.20688 25.09469 26.10441 25.71174 25.20688 
##     5025     5026     5027     5028     5029     5030     5031     5032 
## 24.87031 25.65564 24.87031 25.03859 25.15078 25.03859 26.16050 25.76783 
##     5033     5034     5035     5036     5037     5038     5039     5040 
## 25.31907 25.48736 24.81421 24.98250 24.81421 24.92640 25.15078 25.43126 
##     5041     5042     5043     5044     5045     5046     5047     5048 
## 25.37517 25.37517 25.71174 25.20688 25.54345 24.75812 25.20688 24.25326 
##     5049     5050     5051     5052     5053     5054     5055     5056 
## 25.37517 24.92640 24.64593 25.26297 25.03859 26.32879 25.43126 25.37517 
##     5057     5058     5059     5060     5061     5062     5063     5064 
## 25.31907 25.65564 24.81421 25.03859 24.25326 25.99221 25.26297 25.31907 
##     5065     5066     5067     5068     5069     5070     5071     5072 
## 25.54345 24.58983 24.87031 25.37517 25.88002 25.20688 26.32879 25.59955 
##     5073     5074     5075     5076     5077     5078     5079     5080 
## 25.65564 25.93612 24.98250 25.82393 25.20688 25.93612 24.87031 25.65564 
##     5081     5082     5083     5084     5085     5086     5087     5088 
## 24.64593 26.21660 25.20688 25.09469 24.92640 25.82393 25.71174 25.20688 
##     5089     5090     5091     5092     5093     5094     5095     5096 
## 25.65564 25.93612 25.20688 25.20688 24.81421 25.37517 25.59955 25.48736 
##     5097     5098     5099     5100     5101     5102     5103     5104 
## 25.09469 25.88002 24.98250 25.26297 24.75812 25.59955 24.47764 25.03859 
##     5105     5106     5107     5108     5109     5110     5111     5112 
## 25.48736 25.31907 25.54345 26.10441 25.15078 24.92640 25.65564 24.58983 
##     5113     5114     5115     5116     5117     5118     5119     5120 
## 25.93612 25.54345 24.98250 24.70202 24.87031 25.71174 25.31907 25.20688 
##     5121     5122     5123     5124     5125     5126     5127     5128 
## 25.88002 25.54345 25.37517 24.92640 25.65564 24.53373 25.15078 25.82393 
##     5129     5130     5131     5132     5133     5134     5135     5136 
## 25.82393 25.82393 25.82393 25.20688 25.20688 25.26297 26.04831 25.37517 
##     5137     5138     5139     5140     5141     5142     5143     5144 
## 25.65564 25.59955 25.09469 24.58983 25.59955 25.65564 24.92640 24.58983 
##     5145     5146     5147     5148     5149     5150     5151     5152 
## 25.09469 25.82393 25.15078 25.93612 24.98250 24.92640 25.65564 24.87031 
##     5153     5154     5155     5156     5157     5158     5159     5160 
## 25.09469 24.87031 25.93612 25.59955 26.21660 25.48736 25.54345 25.65564 
##     5161     5162     5163     5164     5165     5166     5167     5168 
## 25.43126 25.88002 25.37517 25.20688 25.88002 24.98250 25.20688 25.76783 
##     5169     5170     5171     5172     5173     5174     5175     5176 
## 24.81421 25.20688 25.59955 25.65564 25.15078 25.31907 25.43126 26.16050 
##     5177     5178     5179     5180     5181     5182     5183     5184 
## 25.03859 25.20688 25.31907 25.48736 25.54345 25.48736 25.43126 25.43126 
##     5185     5186     5187     5188     5189     5190     5191     5192 
## 24.64593 24.58983 25.26297 25.82393 26.10441 25.09469 25.37517 25.48736 
##     5193     5194     5195     5196     5197     5198     5199     5200 
## 25.48736 25.48736 25.15078 25.09469 25.20688 24.92640 25.37517 24.47764 
##     5201     5202     5203     5204     5205     5206     5207     5208 
## 26.04831 25.03859 25.20688 25.76783 25.43126 25.26297 25.20688 25.76783 
##     5209     5210     5211     5212     5213     5214     5215     5216 
## 25.03859 24.87031 25.43126 25.48736 25.31907 25.15078 25.31907 24.53373 
##     5217     5218     5219     5220     5221     5222     5223     5224 
## 24.42154 25.54345 25.20688 25.31907 25.09469 25.20688 25.20688 25.65564 
##     5225     5226     5227     5228     5229     5230     5231     5232 
## 25.20688 25.15078 25.54345 25.99221 24.47764 25.71174 24.64593 25.48736 
##     5233     5234     5235     5236     5237     5238     5239     5240 
## 25.03859 25.31907 25.48736 24.64593 24.92640 25.37517 25.37517 25.82393 
##     5241     5242     5243     5244     5245     5246     5247     5248 
## 24.58983 25.65564 25.26297 24.81421 25.88002 25.43126 25.65564 25.31907 
##     5249     5250     5251     5252     5253     5254     5255     5256 
## 25.48736 25.48736 25.88002 25.59955 25.37517 25.65564 25.59955 25.15078 
##     5257     5258     5259     5260     5261     5262     5263     5264 
## 24.53373 25.09469 25.65564 25.93612 24.87031 25.26297 25.48736 24.64593 
##     5265     5266     5267     5268     5269     5270     5271     5272 
## 25.20688 25.09469 25.93612 24.81421 25.09469 25.37517 24.92640 25.65564 
##     5273     5274     5275     5276     5277     5278     5279     5280 
## 25.59955 25.82393 25.37517 25.54345 25.20688 25.48736 25.20688 25.03859 
##     5281     5282     5283     5284     5285     5286     5287     5288 
## 25.20688 25.93612 25.82393 25.48736 25.03859 25.76783 25.43126 24.92640 
##     5289     5290     5291     5292     5293     5294     5295     5296 
## 25.54345 25.43126 25.71174 25.43126 24.75812 25.09469 25.31907 25.09469 
##     5297     5298     5299     5300     5301     5302     5303     5304 
## 24.98250 24.87031 25.20688 25.71174 25.15078 25.99221 25.65564 24.98250 
##     5305     5306     5307     5308     5309     5310     5311     5312 
## 25.59955 24.81421 25.09469 25.20688 25.54345 24.75812 25.09469 25.20688 
##     5313     5314     5315     5316     5317     5318     5319     5320 
## 25.48736 24.92640 25.03859 25.31907 24.98250 24.98250 25.71174 24.98250 
##     5321     5322     5323     5324     5325     5326     5327     5328 
## 25.43126 24.87031 24.81421 24.64593 25.59955 25.43126 25.37517 25.37517 
##     5329     5330     5331     5332     5333     5334     5335     5336 
## 25.20688 24.98250 24.75812 25.20688 24.98250 25.09469 25.48736 24.81421 
##     5337     5338     5339     5340     5341     5342     5343     5344 
## 25.88002 25.48736 25.26297 25.15078 25.20688 25.31907 25.59955 25.48736 
##     5345     5346     5347     5348     5349     5350     5351     5352 
## 25.37517 25.09469 25.15078 25.54345 25.09469 25.20688 25.37517 25.20688 
##     5353     5354     5355     5356     5357     5358     5359     5360 
## 24.98250 25.20688 25.26297 25.59955 24.87031 25.20688 25.20688 24.92640 
##     5361     5362     5363     5364     5365     5366     5367     5368 
## 25.59955 25.54345 25.82393 25.43126 25.37517 25.09469 25.20688 25.65564 
##     5369     5370     5371     5372     5373     5374     5375     5376 
## 25.31907 25.82393 25.37517 25.59955 25.09469 25.31907 25.31907 24.19716 
##     5377     5378     5379     5380     5381     5382     5383     5384 
## 24.75812 25.54345 25.76783 25.43126 25.31907 25.48736 25.09469 25.20688 
##     5385     5386     5387     5388     5389     5390     5391     5392 
## 25.31907 25.65564 25.54345 25.71174 25.48736 24.87031 25.93612 25.37517 
##     5393     5394     5395     5396     5397     5398     5399     5400 
## 25.37517 25.65564 25.31907 25.48736 25.37517 24.81421 25.09469 25.09469 
##     5401     5402     5403     5404     5405     5406     5407     5408 
## 24.98250 25.76783 25.54345 25.03859 25.48736 24.75812 25.37517 25.20688 
##     5409     5410     5411     5412     5413     5414     5415     5416 
## 25.09469 24.98250 24.98250 24.87031 25.09469 25.54345 25.37517 25.15078 
##     5417     5418     5419     5420     5421     5422     5423     5424 
## 25.31907 24.81421 25.76783 25.15078 24.81421 26.10441 25.20688 24.92640 
##     5425     5426     5427     5428     5429     5430     5431     5432 
## 25.37517 25.48736 25.09469 25.88002 25.37517 25.88002 25.48736 24.92640 
##     5433     5434     5435     5436     5437     5438     5439     5440 
## 25.20688 25.31907 25.37517 25.03859 25.37517 26.04831 25.99221 25.20688 
##     5441     5442     5443     5444     5445     5446     5447     5448 
## 25.54345 25.20688 25.03859 25.65564 25.09469 24.87031 24.81421 24.75812 
##     5449     5450     5451     5452     5453     5454     5455     5456 
## 25.71174 25.09469 25.03859 26.49707 26.04831 25.48736 24.92640 24.64593 
##     5457     5458     5459     5460     5461     5462     5463     5464 
## 25.54345 25.65564 25.59955 25.43126 25.65564 25.20688 24.75812 24.92640 
##     5465     5466     5467     5468     5469     5470     5471     5472 
## 24.70202 25.15078 24.92640 25.37517 25.31907 25.20688 24.53373 25.20688 
##     5473     5474     5475     5476     5477     5478     5479     5480 
## 25.82393 25.37517 25.37517 24.70202 25.15078 25.76783 25.31907 25.09469 
##     5481     5482     5483     5484     5485     5486     5487     5488 
## 25.26297 25.65564 25.54345 25.37517 25.48736 25.09469 25.31907 24.70202 
##     5489     5490     5491     5492     5493     5494     5495     5496 
## 25.65564 24.64593 24.64593 24.64593 25.59955 25.93612 25.71174 25.82393 
##     5497     5498     5499     5500     5501     5502     5503     5504 
## 24.47764 25.31907 25.15078 24.92640 25.71174 25.48736 25.20688 25.88002 
##     5505     5506     5507     5508     5509     5510     5511     5512 
## 25.48736 25.20688 25.54345 25.71174 24.98250 25.09469 24.87031 25.37517 
##     5513     5514     5515     5516     5517     5518     5519     5520 
## 25.09469 25.20688 25.99221 25.82393 25.37517 24.70202 24.47764 24.75812 
##     5521     5522     5523     5524     5525     5526     5527     5528 
## 24.75812 25.43126 25.43126 25.37517 25.43126 25.48736 24.36545 24.81421 
##     5529     5530     5531     5532     5533     5534     5535     5536 
## 25.15078 25.65564 25.20688 25.37517 24.98250 25.59955 25.20688 25.48736 
##     5537     5538     5539     5540     5541     5542     5543     5544 
## 24.98250 24.70202 25.26297 25.93612 25.26297 25.43126 24.70202 24.87031 
##     5545     5546     5547     5548     5549     5550     5551     5552 
## 25.65564 25.93612 25.71174 25.20688 25.65564 25.59955 25.26297 24.87031 
##     5553     5554     5555     5556     5557     5558     5559     5560 
## 25.31907 25.03859 25.37517 24.75812 24.58983 25.59955 25.15078 25.20688 
##     5561     5562     5563     5564     5565     5566     5567     5568 
## 24.70202 25.43126 24.98250 25.59955 25.76783 24.98250 25.26297 24.64593 
##     5569     5570     5571     5572     5573     5574     5575     5576 
## 24.98250 25.03859 25.15078 25.43126 25.20688 25.15078 25.20688 25.15078 
##     5577     5578     5579     5580     5581     5582     5583     5584 
## 24.92640 24.98250 25.93612 24.53373 24.98250 25.54345 25.76783 24.81421 
##     5585     5586     5587     5588     5589     5590     5591     5592 
## 24.58983 25.03859 24.87031 25.54345 25.09469 25.20688 25.65564 25.65564 
##     5593     5594     5595     5596     5597     5598     5599     5600 
## 25.15078 25.03859 25.03859 25.37517 25.82393 25.20688 24.64593 25.37517 
##     5601     5602     5603     5604     5605     5606     5607     5608 
## 24.98250 25.43126 25.03859 25.93612 25.37517 25.93612 24.47764 25.59955 
##     5609     5610     5611     5612     5613     5614     5615     5616 
## 25.31907 25.31907 24.98250 25.71174 25.09469 24.92640 25.48736 25.15078 
##     5617     5618     5619     5620     5621     5622     5623     5624 
## 25.31907 25.65564 25.54345 25.65564 25.43126 25.37517 25.20688 24.92640 
##     5625     5626     5627     5628     5629     5630     5631     5632 
## 25.43126 25.26297 25.20688 25.03859 25.31907 24.98250 24.81421 24.98250 
##     5633     5634     5635     5636     5637     5638     5639     5640 
## 25.15078 25.09469 24.64593 24.64593 25.26297 25.20688 25.48736 25.03859 
##     5641     5642     5643     5644     5645     5646     5647     5648 
## 24.70202 25.26297 25.43126 25.65564 25.37517 25.48736 25.31907 25.48736 
##     5649     5650     5651     5652     5653     5654     5655     5656 
## 24.53373 25.48736 25.09469 25.93612 25.43126 25.93612 25.09469 24.53373 
##     5657     5658     5659     5660     5661     5662     5663     5664 
## 24.92640 24.87031 24.53373 24.64593 25.09469 25.31907 25.37517 24.87031 
##     5665     5666     5667     5668     5669     5670     5671     5672 
## 24.98250 25.48736 24.92640 25.48736 25.20688 25.09469 25.65564 25.15078 
##     5673     5674     5675     5676     5677     5678     5679     5680 
## 25.37517 24.70202 24.87031 25.09469 25.31907 24.58983 25.71174 25.43126 
##     5681     5682     5683     5684     5685     5686     5687     5688 
## 25.09469 24.64593 25.20688 25.59955 25.03859 25.31907 24.98250 25.03859 
##     5689     5690     5691     5692     5693     5694     5695     5696 
## 25.20688 25.09469 25.54345 25.37517 25.15078 25.37517 25.31907 25.59955 
##     5697     5698     5699     5700     5701     5702     5703     5704 
## 24.92640 25.03859 25.37517 25.31907 25.09469 25.15078 24.64593 24.19716 
##     5705     5706     5707     5708     5709     5710     5711     5712 
## 25.09469 25.71174 25.48736 25.82393 24.87031 25.48736 25.76783 25.59955 
##     5713     5714     5715     5716     5717     5718     5719     5720 
## 24.75812 25.37517 25.48736 25.15078 25.31907 25.54345 25.15078 24.75812 
##     5721     5722     5723     5724     5725     5726     5727     5728 
## 25.54345 25.20688 24.98250 24.92640 25.82393 24.75812 24.42154 25.37517 
##     5729     5730     5731     5732     5733     5734     5735     5736 
## 25.54345 25.37517 25.93612 25.03859 24.92640 25.09469 25.31907 25.59955 
##     5737     5738     5739     5740     5741     5742     5743     5744 
## 24.47764 24.81421 24.92640 24.98250 24.81421 25.20688 24.92640 25.15078 
##     5745     5746     5747     5748     5749     5750     5751     5752 
## 25.59955 24.81421 25.65564 25.20688 24.98250 25.76783 24.75812 26.04831 
##     5753     5754     5755     5756     5757     5758     5759     5760 
## 25.26297 25.15078 25.26297 25.82393 25.88002 24.70202 25.65564 25.37517 
##     5761     5762     5763     5764     5765     5766     5767     5768 
## 24.81421 24.81421 24.92640 24.75812 24.58983 25.48736 24.81421 25.15078 
##     5769     5770     5771     5772     5773     5774     5775     5776 
## 25.48736 25.15078 25.37517 25.20688 25.09469 24.70202 25.76783 24.87031 
##     5777     5778     5779     5780     5781     5782     5783     5784 
## 26.04831 24.87031 25.76783 25.31907 25.59955 25.76783 25.09469 25.71174 
##     5785     5786     5787     5788     5789     5790     5791     5792 
## 25.37517 25.03859 25.48736 25.48736 24.87031 24.87031 24.92640 24.42154 
##     5793     5794     5795     5796     5797     5798     5799     5800 
## 24.64593 25.71174 25.09469 25.54345 25.15078 25.88002 25.09469 24.98250 
##     5801     5802     5803     5804     5805     5806     5807     5808 
## 25.48736 24.98250 25.03859 25.15078 25.59955 25.37517 25.20688 24.87031 
##     5809     5810     5811     5812     5813     5814     5815     5816 
## 25.26297 25.03859 24.70202 25.09469 25.37517 25.59955 24.47764 25.43126 
##     5817     5818     5819     5820     5821     5822     5823     5824 
## 25.71174 25.09469 25.93612 25.76783 25.15078 25.59955 25.93612 25.59955 
##     5825     5826     5827     5828     5829     5830     5831     5832 
## 25.76783 24.81421 25.54345 25.03859 25.09469 24.36545 24.92640 25.48736 
##     5833     5834     5835     5836     5837     5838     5839     5840 
## 25.09469 24.98250 25.37517 25.15078 25.20688 25.82393 25.48736 25.31907 
##     5841     5842     5843     5844     5845     5846     5847     5848 
## 25.20688 25.54345 24.58983 25.93612 25.82393 25.76783 25.76783 25.43126 
##     5849     5850     5851     5852     5853     5854     5855     5856 
## 25.20688 24.75812 25.26297 25.93612 25.15078 26.21660 25.43126 24.53373 
##     5857     5858     5859     5860     5861     5862     5863     5864 
## 25.82393 25.48736 25.71174 25.65564 24.70202 24.81421 25.31907 24.87031 
##     5865     5866     5867     5868     5869     5870     5871     5872 
## 25.43126 25.48736 25.43126 25.59955 24.92640 25.26297 25.31907 25.43126 
##     5873     5874     5875     5876     5877     5878     5879     5880 
## 24.87031 24.92640 25.03859 25.54345 25.20688 24.92640 25.59955 25.76783 
##     5881     5882     5883     5884     5885     5886     5887     5888 
## 25.26297 25.20688 25.20688 24.81421 24.75812 24.81421 25.43126 24.58983 
##     5889     5890     5891     5892     5893     5894     5895     5896 
## 25.26297 25.03859 25.82393 25.43126 25.48736 25.54345 25.76783 26.10441 
##     5897     5898     5899     5900     5901     5902     5903     5904 
## 25.37517 25.20688 25.43126 25.20688 25.03859 25.76783 25.03859 25.48736 
##     5905     5906     5907     5908     5909     5910     5911     5912 
## 25.26297 25.20688 24.98250 25.20688 25.65564 25.20688 25.76783 25.15078 
##     5913     5914     5915     5916     5917     5918     5919     5920 
## 25.09469 25.20688 24.47764 25.65564 25.37517 25.43126 25.20688 25.71174 
##     5921     5922     5923     5924     5925     5926     5927     5928 
## 24.58983 25.71174 25.03859 25.82393 24.98250 25.31907 25.09469 25.54345 
##     5929     5930     5931     5932     5933     5934     5935     5936 
## 25.48736 25.76783 25.65564 25.20688 25.15078 25.48736 25.48736 25.31907 
##     5937     5938     5939     5940     5941     5942     5943     5944 
## 25.65564 25.20688 25.26297 25.48736 24.87031 25.54345 25.09469 24.98250 
##     5945     5946     5947     5948     5949     5950     5951     5952 
## 25.37517 25.48736 25.15078 25.54345 25.37517 25.65564 25.09469 24.92640 
##     5953     5954     5955     5956     5957     5958     5959     5960 
## 25.65564 25.88002 25.43126 24.92640 24.98250 26.38488 25.43126 25.65564 
##     5961     5962     5963     5964     5965     5966     5967     5968 
## 25.71174 25.15078 24.53373 25.65564 26.10441 25.82393 26.27269 25.59955 
##     5969     5970     5971     5972     5973     5974     5975     5976 
## 24.92640 25.88002 24.92640 25.20688 25.26297 25.48736 25.37517 25.15078 
##     5977     5978     5979     5980     5981     5982     5983     5984 
## 25.65564 25.59955 25.43126 24.64593 26.10441 25.76783 25.54345 25.54345 
##     5985     5986     5987     5988     5989     5990     5991     5992 
## 24.92640 25.37517 24.47764 25.54345 25.54345 25.71174 25.54345 24.53373 
##     5993     5994     5995     5996     5997     5998     5999     6000 
## 24.53373 24.70202 25.82393 24.87031 25.54345 25.48736 25.54345 25.43126 
##     6001     6002     6003     6004     6005     6006     6007     6008 
## 25.15078 25.54345 25.20688 25.88002 25.20688 25.09469 25.03859 25.37517 
##     6009     6010     6011     6012     6013     6014     6015     6016 
## 25.20688 24.87031 25.71174 25.37517 25.48736 25.48736 25.82393 24.98250 
##     6017     6018     6019     6020     6021     6022     6023     6024 
## 24.92640 25.82393 25.37517 25.93612 25.65564 25.37517 25.54345 25.09469 
##     6025     6026     6027     6028     6029     6030     6031     6032 
## 25.37517 25.20688 25.20688 25.20688 24.81421 25.15078 25.59955 25.26297 
##     6033     6034     6035     6036     6037     6038     6039     6040 
## 24.75812 25.88002 25.82393 24.92640 25.48736 25.76783 25.65564 25.65564 
##     6041     6042     6043     6044     6045     6046     6047     6048 
## 25.03859 25.20688 25.71174 25.37517 25.26297 25.09469 25.15078 25.76783 
##     6049     6050     6051     6052     6053     6054     6055     6056 
## 25.37517 25.26297 25.09469 25.15078 25.71174 25.20688 25.20688 25.59955 
##     6057     6058     6059     6060     6061     6062     6063     6064 
## 24.92640 24.92640 25.03859 24.75812 25.54345 25.37517 25.88002 24.81421 
##     6065     6066     6067     6068     6069     6070     6071     6072 
## 25.31907 25.03859 25.43126 26.16050 25.43126 24.81421 24.58983 24.75812 
##     6073     6074     6075     6076     6077     6078     6079     6080 
## 25.43126 25.26297 25.82393 25.48736 25.31907 25.48736 25.03859 24.98250 
##     6081     6082     6083     6084     6085     6086     6087     6088 
## 25.65564 25.31907 24.58983 24.70202 25.20688 25.15078 25.31907 25.31907 
##     6089     6090     6091     6092     6093     6094     6095     6096 
## 25.20688 25.20688 25.54345 25.59955 25.15078 25.20688 24.92640 25.54345 
##     6097     6098     6099     6100     6101     6102     6103     6104 
## 25.03859 24.98250 25.65564 25.20688 25.37517 25.82393 25.31907 25.76783 
##     6105     6106     6107     6108     6109     6110     6111     6112 
## 25.82393 25.76783 25.26297 25.15078 25.88002 25.15078 25.26297 25.48736 
##     6113     6114     6115     6116     6117     6118     6119     6120 
## 25.71174 25.31907 25.09469 24.64593 25.37517 25.71174 25.37517 26.10441 
##     6121     6122     6123     6124     6125     6126     6127     6128 
## 25.71174 25.54345 25.59955 25.93612 25.65564 25.54345 25.76783 25.59955 
##     6129     6130     6131     6132     6133     6134     6135     6136 
## 25.20688 25.82393 25.37517 25.76783 26.04831 25.48736 25.37517 25.65564 
##     6137     6138     6139     6140     6141     6142     6143     6144 
## 25.26297 25.31907 24.98250 25.88002 26.27269 25.37517 25.26297 25.65564 
##     6145     6146     6147     6148     6149     6150     6151     6152 
## 25.43126 25.59955 25.37517 25.48736 25.48736 25.71174 25.48736 25.76783 
##     6153     6154     6155     6156     6157     6158     6159     6160 
## 25.20688 25.09469 25.88002 25.48736 25.65564 25.20688 25.82393 25.03859 
##     6161     6162     6163     6164     6165     6166     6167     6168 
## 25.09469 25.03859 25.59955 25.09469 24.75812 25.65564 25.31907 24.75812 
##     6169     6170     6171     6172     6173     6174     6175     6176 
## 25.15078 24.98250 25.48736 24.92640 25.76783 24.87031 25.20688 25.09469 
##     6177     6178     6179     6180     6181     6182     6183     6184 
## 24.98250 24.92640 26.10441 25.31907 25.31907 25.59955 25.65564 25.76783 
##     6185     6186     6187     6188     6189     6190     6191     6192 
## 24.25326 24.64593 24.92640 25.82393 25.88002 25.43126 25.09469 25.37517 
##     6193     6194     6195     6196     6197     6198     6199     6200 
## 25.03859 24.70202 25.15078 25.03859 25.15078 25.65564 24.92640 25.31907 
##     6201     6202     6203     6204     6205     6206     6207     6208 
## 24.53373 25.31907 24.98250 25.37517 25.65564 25.20688 25.26297 25.65564 
##     6209     6210     6211     6212     6213     6214     6215     6216 
## 25.88002 25.31907 24.92640 25.82393 25.09469 25.99221 25.37517 25.76783 
##     6217     6218     6219     6220     6221     6222     6223     6224 
## 24.64593 25.09469 25.20688 25.26297 24.87031 25.31907 24.64593 25.54345 
##     6225     6226     6227     6228     6229     6230     6231     6232 
## 25.37517 25.26297 24.92640 24.64593 25.82393 24.87031 25.65564 25.54345 
##     6233     6234     6235     6236     6237     6238     6239     6240 
## 24.53373 25.20688 24.92640 25.26297 25.82393 25.71174 25.76783 24.81421 
##     6241     6242     6243     6244     6245     6246     6247     6248 
## 26.10441 25.93612 24.64593 24.58983 24.92640 25.54345 25.31907 26.04831 
##     6249     6250     6251     6252     6253     6254     6255     6256 
## 24.87031 25.09469 25.82393 25.37517 25.26297 25.43126 25.31907 25.37517 
##     6257     6258     6259     6260     6261     6262     6263     6264 
## 25.37517 25.20688 25.31907 25.88002 25.20688 24.92640 25.20688 25.31907 
##     6265     6266     6267     6268     6269     6270     6271     6272 
## 25.20688 25.37517 25.37517 25.09469 25.48736 25.99221 24.92640 25.31907 
##     6273     6274     6275     6276     6277     6278     6279     6280 
## 25.48736 25.48736 25.71174 24.75812 25.48736 25.09469 25.09469 24.92640 
##     6281     6282     6283     6284     6285     6286     6287     6288 
## 25.82393 24.87031 25.48736 25.37517 25.26297 25.54345 25.71174 25.20688 
##     6289     6290     6291     6292     6293     6294     6295     6296 
## 24.92640 25.54345 24.47764 24.75812 25.43126 25.43126 25.26297 25.37517 
##     6297     6298     6299     6300     6301     6302     6303     6304 
## 26.04831 25.82393 25.48736 25.20688 24.64593 25.65564 25.48736 25.09469 
##     6305     6306     6307     6308     6309     6310     6311     6312 
## 25.43126 25.31907 25.65564 25.65564 25.54345 25.82393 25.59955 25.26297 
##     6313     6314     6315     6316     6317     6318     6319     6320 
## 25.82393 25.03859 25.82393 25.93612 25.65564 25.99221 26.04831 25.43126 
##     6321     6322     6323     6324     6325     6326     6327     6328 
## 24.92640 25.37517 25.82393 25.54345 25.48736 25.37517 25.54345 25.88002 
##     6329     6330     6331     6332     6333     6334     6335     6336 
## 25.82393 25.31907 25.54345 24.70202 25.37517 25.09469 25.37517 25.31907 
##     6337     6338     6339     6340     6341     6342     6343     6344 
## 26.04831 25.59955 25.82393 25.59955 24.64593 25.37517 24.92640 25.48736 
##     6345     6346     6347     6348     6349     6350     6351     6352 
## 25.15078 25.20688 25.43126 24.92640 25.59955 25.54345 25.09469 24.47764 
##     6353     6354     6355     6356     6357     6358     6359     6360 
## 25.54345 25.54345 25.93612 25.82393 24.92640 25.65564 24.81421 25.20688 
##     6361     6362     6363     6364     6365     6366     6367     6368 
## 25.71174 25.09469 25.59955 25.20688 24.47764 25.59955 25.43126 24.98250 
##     6369     6370     6371     6372     6373     6374     6375     6376 
## 25.43126 24.92640 25.48736 25.59955 25.54345 25.43126 25.37517 24.64593 
##     6377     6378     6379     6380     6381     6382     6383     6384 
## 24.87031 25.43126 25.71174 25.37517 25.26297 25.03859 25.26297 25.54345 
##     6385     6386     6387     6388     6389     6390     6391     6392 
## 24.81421 25.76783 25.20688 25.48736 25.09469 24.53373 24.98250 24.92640 
##     6393     6394     6395     6396     6397     6398     6399     6400 
## 25.59955 25.09469 26.16050 25.93612 24.87031 25.48736 25.26297 24.87031 
##     6401     6402     6403     6404     6405     6406     6407     6408 
## 25.20688 24.92640 25.37517 25.65564 25.71174 25.43126 25.37517 24.81421 
##     6409     6410     6411     6412     6413     6414     6415     6416 
## 25.26297 25.03859 24.87031 25.03859 25.37517 25.37517 24.81421 25.88002 
##     6417     6418     6419     6420     6421     6422     6423     6424 
## 25.54345 25.48736 25.03859 25.43126 25.59955 24.92640 25.20688 24.87031 
##     6425     6426     6427     6428     6429     6430     6431     6432 
## 25.31907 25.09469 25.48736 24.75812 25.93612 25.37517 25.37517 25.43126 
##     6433     6434     6435     6436     6437     6438     6439     6440 
## 25.65564 24.81421 25.20688 25.82393 25.15078 24.81421 24.75812 25.31907 
##     6441     6442     6443     6444     6445     6446     6447     6448 
## 25.48736 25.20688 25.71174 25.15078 25.20688 25.15078 25.31907 25.65564 
##     6449     6450     6451     6452     6453     6454     6455     6456 
## 25.20688 24.98250 25.48736 25.48736 25.09469 24.81421 25.76783 25.20688 
##     6457     6458     6459     6460     6461     6462     6463     6464 
## 25.99221 25.37517 24.64593 24.64593 24.98250 24.98250 25.48736 25.43126 
##     6465     6466     6467     6468     6469     6470     6471     6472 
## 25.43126 25.54345 25.43126 25.43126 24.81421 25.09469 25.76783 25.37517 
##     6473     6474     6475     6476     6477     6478     6479     6480 
## 25.88002 25.31907 24.92640 25.09469 25.71174 24.75812 25.15078 24.64593 
##     6481     6482     6483     6484     6485     6486     6487     6488 
## 24.75812 24.92640 25.71174 25.26297 25.20688 25.15078 25.15078 25.37517 
##     6489     6490     6491     6492     6493     6494     6495     6496 
## 25.09469 25.65564 24.64593 25.15078 25.37517 25.76783 25.26297 25.09469 
##     6497     6498     6499     6500     6501     6502     6503     6504 
## 25.37517 25.03859 24.53373 25.31907 24.64593 25.43126 25.15078 25.03859 
##     6505     6506     6507     6508     6509     6510     6511     6512 
## 25.03859 25.03859 25.15078 25.26297 25.43126 25.09469 24.92640 24.75812 
##     6513     6514     6515     6516     6517     6518     6519     6520 
## 25.20688 25.26297 24.47764 24.64593 25.43126 25.48736 24.87031 25.76783 
##     6521     6522     6523     6524     6525     6526     6527     6528 
## 25.43126 25.43126 25.20688 24.58983 25.65564 25.09469 25.03859 25.03859 
##     6529     6530     6531     6532     6533     6534     6535     6536 
## 25.54345 25.48736 25.37517 25.20688 25.37517 24.98250 25.31907 25.26297 
##     6537     6538     6539     6540     6541     6542     6543     6544 
## 24.98250 25.88002 25.26297 25.71174 25.03859 24.08497 26.16050 25.09469 
##     6545     6546     6547     6548     6549     6550     6551     6552 
## 25.37517 25.09469 25.03859 25.03859 24.98250 25.65564 25.43126 25.76783 
##     6553     6554     6555     6556     6557     6558     6559     6560 
## 25.15078 25.59955 25.37517 25.20688 24.81421 24.75812 25.76783 25.37517 
##     6561     6562     6563     6564     6565     6566     6567     6568 
## 24.64593 25.48736 25.93612 25.43126 25.59955 25.48736 25.26297 25.09469 
##     6569     6570     6571     6572     6573     6574     6575     6576 
## 25.09469 24.53373 25.20688 25.20688 25.09469 25.09469 25.82393 25.93612 
##     6577     6578     6579     6580     6581     6582     6583     6584 
## 25.15078 25.65564 25.82393 25.03859 25.09469 25.54345 25.43126 25.09469 
##     6585     6586     6587     6588     6589     6590     6591     6592 
## 25.43126 25.76783 25.31907 25.43126 25.37517 25.59955 25.37517 25.09469 
##     6593     6594     6595     6596     6597     6598     6599     6600 
## 25.65564 25.26297 25.31907 25.37517 24.53373 24.47764 25.65564 24.64593 
##     6601     6602     6603     6604     6605     6606     6607     6608 
## 25.31907 25.09469 25.26297 26.04831 25.76783 25.31907 25.09469 24.98250 
##     6609     6610     6611     6612     6613     6614     6615     6616 
## 26.04831 25.82393 24.87031 24.58983 25.48736 25.20688 25.03859 24.81421 
##     6617     6618     6619     6620     6621     6622     6623     6624 
## 24.81421 25.20688 25.88002 24.92640 25.15078 25.65564 24.58983 25.20688 
##     6625     6626     6627     6628     6629     6630     6631     6632 
## 25.37517 24.70202 25.88002 24.98250 25.48736 25.26297 25.48736 25.82393 
##     6633     6634     6635     6636     6637     6638     6639     6640 
## 25.48736 24.92640 25.31907 25.48736 25.09469 25.82393 24.87031 25.20688 
##     6641     6642     6643     6644     6645     6646     6647     6648 
## 25.82393 24.75812 25.20688 25.20688 24.92640 25.48736 25.09469 25.03859 
##     6649     6650     6651     6652     6653     6654     6655     6656 
## 24.81421 25.65564 25.76783 24.98250 25.48736 24.58983 25.48736 25.48736 
##     6657     6658     6659     6660     6661     6662     6663     6664 
## 25.59955 24.98250 25.26297 25.54345 25.59955 24.70202 25.31907 25.09469 
##     6665     6666     6667     6668     6669     6670     6671     6672 
## 24.64593 25.20688 25.71174 25.48736 25.31907 24.92640 24.92640 24.98250 
##     6673     6674     6675     6676     6677     6678     6679     6680 
## 25.26297 25.37517 25.20688 25.43126 25.20688 25.26297 25.20688 25.43126 
##     6681     6682     6683     6684     6685     6686     6687     6688 
## 25.20688 25.65564 25.82393 25.59955 24.47764 24.64593 25.65564 25.76783 
##     6689     6690     6691     6692     6693     6694     6695     6696 
## 24.92640 24.53373 25.48736 25.43126 25.65564 24.75812 25.65564 25.48736 
##     6697     6698     6699     6700     6701     6702     6703     6704 
## 25.15078 24.81421 25.82393 24.70202 25.76783 25.99221 26.04831 25.43126 
##     6705     6706     6707     6708     6709     6710     6711     6712 
## 24.92640 25.37517 25.82393 24.87031 25.54345 24.70202 25.31907 25.15078 
##     6713     6714     6715     6716     6717     6718     6719     6720 
## 25.99221 25.37517 25.20688 26.32879 25.09469 25.48736 25.82393 24.81421 
##     6721     6722     6723     6724     6725     6726     6727     6728 
## 25.99221 24.64593 25.82393 25.15078 24.64593 25.48736 24.92640 25.43126 
##     6729     6730     6731     6732     6733     6734     6735     6736 
## 25.20688 25.15078 25.43126 25.31907 25.20688 25.31907 25.59955 25.26297 
##     6737     6738     6739     6740     6741     6742     6743     6744 
## 25.65564 25.93612 25.65564 25.03859 25.09469 25.43126 24.42154 25.37517 
##     6745     6746     6747     6748     6749     6750     6751     6752 
## 25.43126 25.76783 24.98250 25.59955 25.15078 25.48736 25.37517 25.20688 
##     6753     6754     6755     6756     6757     6758     6759     6760 
## 25.54345 25.03859 26.10441 24.92640 24.25326 24.98250 25.20688 25.03859 
##     6761     6762     6763     6764     6765     6766     6767     6768 
## 25.59955 25.59955 25.93612 25.48736 25.31907 24.92640 25.65564 25.82393 
##     6769     6770     6771     6772     6773     6774     6775     6776 
## 25.37517 25.31907 25.31907 25.03859 24.75812 25.31907 25.31907 25.82393 
##     6777     6778     6779     6780     6781     6782     6783     6784 
## 25.20688 24.92640 24.75812 24.64593 24.64593 25.31907 24.92640 25.59955 
##     6785     6786     6787     6788     6789     6790     6791     6792 
## 25.59955 25.31907 25.43126 25.26297 25.20688 24.02888 25.76783 25.65564 
##     6793     6794     6795     6796     6797     6798     6799     6800 
## 25.71174 24.87031 24.81421 25.37517 25.03859 25.54345 25.48736 24.47764 
##     6801     6802     6803     6804     6805     6806     6807     6808 
## 25.76783 25.93612 24.87031 24.81421 24.92640 24.53373 25.26297 25.54345 
##     6809     6810     6811     6812     6813     6814     6815     6816 
## 24.98250 25.43126 25.43126 24.81421 24.92640 24.64593 25.15078 25.09469 
##     6817     6818     6819     6820     6821     6822     6823     6824 
## 25.26297 25.20688 24.64593 25.65564 24.81421 24.81421 24.58983 24.92640 
##     6825     6826     6827     6828     6829     6830     6831     6832 
## 25.65564 25.37517 25.09469 24.70202 24.81421 25.09469 25.20688 25.31907 
##     6833     6834     6835     6836     6837     6838     6839     6840 
## 25.20688 25.03859 24.81421 24.87031 24.75812 24.70202 24.47764 26.16050 
##     6841     6842     6843     6844     6845     6846     6847     6848 
## 25.20688 25.76783 25.48736 25.37517 25.76783 25.15078 25.37517 25.20688 
##     6849     6850     6851     6852     6853     6854     6855     6856 
## 25.48736 24.64593 25.43126 25.26297 24.92640 25.99221 25.48736 25.76783 
##     6857     6858     6859     6860     6861     6862     6863     6864 
## 25.20688 25.09469 25.03859 24.75812 25.26297 24.53373 25.76783 25.82393 
##     6865     6866     6867     6868     6869     6870     6871     6872 
## 25.20688 24.98250 25.20688 25.65564 25.88002 25.15078 25.54345 25.88002 
##     6873     6874     6875     6876     6877     6878     6879     6880 
## 25.20688 25.43126 25.54345 25.15078 25.48736 25.65564 24.92640 24.75812 
##     6881     6882     6883     6884     6885     6886     6887     6888 
## 25.15078 25.54345 25.03859 25.09469 25.65564 24.92640 25.31907 25.48736 
##     6889     6890     6891     6892     6893     6894     6895     6896 
## 25.15078 25.37517 24.92640 25.03859 24.81421 25.65564 25.26297 25.26297 
##     6897     6898     6899     6900     6901     6902     6903     6904 
## 25.43126 25.88002 25.15078 25.03859 25.20688 25.26297 25.54345 25.09469 
##     6905     6906     6907     6908     6909     6910     6911     6912 
## 25.37517 25.20688 25.20688 24.75812 25.20688 24.92640 25.71174 25.43126 
##     6913     6914     6915     6916     6917     6918     6919     6920 
## 25.09469 24.36545 25.48736 25.43126 24.98250 25.54345 25.65564 24.81421 
##     6921     6922     6923     6924     6925     6926     6927     6928 
## 24.58983 25.48736 24.92640 25.09469 24.81421 25.82393 25.71174 24.70202 
##     6929     6930     6931     6932     6933     6934     6935     6936 
## 24.75812 25.93612 25.88002 25.31907 25.76783 24.98250 25.20688 25.03859 
##     6937     6938     6939     6940     6941     6942     6943     6944 
## 24.87031 25.82393 25.26297 26.04831 24.87031 25.03859 25.48736 25.93612 
##     6945     6946     6947     6948     6949     6950     6951     6952 
## 24.75812 25.20688 24.36545 25.48736 25.82393 25.20688 25.15078 25.20688 
##     6953     6954     6955     6956     6957     6958     6959     6960 
## 25.48736 25.03859 25.09469 26.10441 24.92640 24.42154 25.48736 26.10441 
##     6961     6962     6963     6964     6965     6966     6967     6968 
## 25.82393 25.15078 25.20688 25.71174 25.20688 25.03859 25.59955 25.99221 
##     6969     6970     6971     6972     6973     6974     6975     6976 
## 25.59955 24.92640 25.31907 25.03859 25.31907 25.20688 25.76783 25.48736 
##     6977     6978     6979     6980     6981     6982     6983     6984 
## 25.65564 25.48736 24.87031 25.26297 25.88002 25.20688 25.59955 25.93612 
##     6985     6986     6987     6988     6989     6990     6991     6992 
## 24.64593 25.48736 24.53373 25.65564 25.71174 25.88002 24.87031 25.37517 
##     6993     6994     6995     6996     6997     6998     6999     7000 
## 25.03859 25.37517 25.93612 25.76783 25.71174 24.98250 24.64593 24.81421 
##     7001     7002     7003     7004     7005     7006     7007     7008 
## 25.43126 24.64593 25.43126 25.09469 25.43126 25.65564 26.04831 25.65564 
##     7009     7010     7011     7012     7013     7014     7015     7016 
## 24.92640 25.54345 25.48736 25.37517 25.65564 25.03859 25.09469 24.81421 
##     7017     7018     7019     7020     7021     7022     7023     7024 
## 25.20688 24.92640 25.37517 25.20688 25.20688 25.65564 25.54345 25.48736 
##     7025     7026     7027     7028     7029     7030     7031     7032 
## 25.09469 25.20688 25.65564 25.65564 24.75812 24.70202 24.92640 25.15078 
##     7033     7034     7035     7036     7037     7038     7039     7040 
## 26.10441 25.26297 24.58983 25.48736 24.98250 25.15078 25.09469 25.71174 
##     7041     7042     7043     7044     7045     7046     7047     7048 
## 25.20688 25.20688 25.03859 25.65564 25.37517 25.93612 24.81421 24.92640 
##     7049     7050     7051     7052     7053     7054     7055     7056 
## 25.09469 24.81421 25.26297 24.98250 25.09469 25.31907 25.20688 25.76783 
##     7057     7058     7059     7060     7061     7062     7063     7064 
## 24.36545 25.09469 24.81421 25.48736 25.03859 25.76783 25.09469 24.47764 
##     7065     7066     7067     7068     7069     7070     7071     7072 
## 24.98250 25.20688 25.59955 25.88002 25.54345 24.87031 24.75812 25.88002 
##     7073     7074     7075     7076     7077     7078     7079     7080 
## 25.09469 25.43126 24.64593 25.48736 25.59955 25.71174 25.48736 25.54345 
##     7081     7082     7083     7084     7085     7086     7087     7088 
## 25.54345 25.76783 24.87031 25.48736 24.64593 25.48736 25.37517 25.65564 
##     7089     7090     7091     7092     7093     7094     7095     7096 
## 25.09469 25.31907 25.43126 25.76783 25.20688 24.92640 25.99221 25.54345 
##     7097     7098     7099     7100     7101     7102     7103     7104 
## 25.31907 24.64593 25.09469 25.15078 25.43126 24.92640 25.88002 24.53373 
##     7105     7106     7107     7108     7109     7110     7111     7112 
## 25.88002 24.92640 25.09469 25.20688 24.81421 25.59955 25.76783 25.37517 
##     7113     7114     7115     7116     7117     7118     7119     7120 
## 24.75812 25.26297 25.37517 25.76783 25.65564 25.09469 25.48736 25.59955 
##     7121     7122     7123     7124     7125     7126     7127     7128 
## 25.65564 25.65564 24.92640 24.92640 25.93612 25.48736 25.88002 25.65564 
##     7129     7130     7131     7132     7133     7134     7135     7136 
## 25.48736 25.71174 25.59955 25.48736 25.15078 25.99221 25.71174 24.92640 
##     7137     7138     7139     7140     7141     7142     7143     7144 
## 26.16050 25.54345 25.26297 24.81421 25.15078 25.93612 25.59955 26.04831 
##     7145     7146     7147     7148     7149     7150     7151     7152 
## 25.71174 25.09469 25.54345 24.81421 24.58983 25.76783 25.37517 25.48736 
##     7153     7154     7155     7156     7157     7158     7159     7160 
## 25.20688 25.31907 24.64593 25.65564 25.71174 24.81421 25.37517 24.92640 
##     7161     7162     7163     7164     7165     7166     7167     7168 
## 25.37517 25.31907 25.15078 24.53373 25.37517 25.93612 25.15078 25.48736 
##     7169     7170     7171     7172     7173     7174     7175     7176 
## 24.87031 25.59955 25.31907 25.31907 25.15078 25.09469 24.98250 24.92640 
##     7177     7178     7179     7180     7181     7182     7183     7184 
## 25.65564 25.37517 25.03859 25.54345 24.70202 25.59955 25.37517 25.48736 
##     7185     7186     7187     7188     7189     7190     7191     7192 
## 24.98250 25.59955 25.48736 25.20688 25.54345 25.48736 25.71174 25.54345 
##     7193     7194     7195     7196     7197     7198     7199     7200 
## 25.93612 24.87031 25.20688 25.43126 25.09469 24.70202 24.98250 26.38488 
##     7201     7202     7203     7204     7205     7206     7207     7208 
## 25.31907 25.15078 25.65564 24.70202 24.64593 25.26297 25.09469 24.92640 
##     7209     7210     7211     7212     7213     7214     7215     7216 
## 24.58983 24.64593 25.26297 25.15078 25.37517 25.20688 24.92640 25.31907 
##     7217     7218     7219     7220     7221     7222     7223     7224 
## 24.70202 25.82393 25.65564 24.75812 25.37517 24.87031 24.64593 25.76783 
##     7225     7226     7227     7228     7229     7230     7231     7232 
## 25.82393 25.20688 25.99221 25.82393 25.93612 25.54345 25.48736 25.65564 
##     7233     7234     7235     7236     7237     7238     7239     7240 
## 24.98250 25.20688 25.37517 25.59955 25.20688 25.54345 25.65564 25.54345 
##     7241     7242     7243     7244     7245     7246     7247     7248 
## 25.43126 25.54345 25.26297 25.48736 25.37517 25.37517 25.20688 24.75812 
##     7249     7250     7251     7252     7253     7254     7255     7256 
## 24.87031 25.20688 25.48736 25.20688 25.48736 24.64593 25.43126 25.26297 
##     7257     7258     7259     7260     7261     7262     7263     7264 
## 25.20688 25.48736 25.65564 24.81421 25.82393 25.26297 25.48736 25.37517 
##     7265     7266     7267     7268     7269     7270     7271     7272 
## 25.76783 26.10441 24.47764 25.26297 25.82393 25.59955 25.48736 25.20688 
##     7273     7274     7275     7276     7277     7278     7279     7280 
## 24.81421 25.37517 25.88002 24.53373 25.31907 24.58983 26.21660 25.03859 
##     7281     7282     7283     7284     7285     7286     7287     7288 
## 25.37517 24.81421 25.48736 25.76783 25.48736 26.10441 24.64593 25.54345 
##     7289     7290     7291     7292     7293     7294     7295     7296 
## 25.48736 25.09469 25.48736 25.88002 25.82393 25.93612 24.87031 25.37517 
##     7297     7298     7299     7300     7301     7302     7303     7304 
## 25.48736 25.37517 24.81421 25.76783 24.81421 25.37517 25.43126 25.37517 
##     7305     7306     7307     7308     7309     7310     7311     7312 
## 25.09469 25.09469 24.92640 25.43126 25.31907 25.48736 25.43126 25.54345 
##     7313     7314     7315     7316     7317     7318     7319     7320 
## 25.15078 25.15078 25.43126 25.15078 24.98250 25.03859 25.20688 25.37517 
##     7321     7322     7323     7324     7325     7326     7327     7328 
## 25.20688 24.87031 24.58983 24.64593 25.20688 25.31907 25.09469 25.20688 
##     7329     7330     7331     7332     7333     7334     7335     7336 
## 25.65564 25.37517 25.26297 25.20688 25.59955 25.82393 25.31907 24.70202 
##     7337     7338     7339     7340     7341     7342     7343     7344 
## 25.15078 25.93612 24.81421 24.64593 24.81421 24.53373 25.15078 25.03859 
##     7345     7346     7347     7348     7349     7350     7351     7352 
## 24.70202 25.99221 25.37517 24.70202 25.59955 25.03859 25.54345 25.09469 
##     7353     7354     7355     7356     7357     7358     7359     7360 
## 25.82393 25.26297 25.09469 25.65564 25.59955 25.09469 25.31907 25.37517 
##     7361     7362     7363     7364     7365     7366     7367     7368 
## 24.92640 25.65564 24.36545 24.64593 25.65564 24.64593 24.98250 25.43126 
##     7369     7370     7371     7372     7373     7374     7375     7376 
## 25.26297 25.26297 24.25326 25.20688 25.48736 25.54345 25.48736 24.98250 
##     7377     7378     7379     7380     7381     7382     7383     7384 
## 25.43126 24.81421 25.43126 25.48736 25.20688 25.48736 25.26297 24.87031 
##     7385     7386     7387     7388     7389     7390     7391     7392 
## 24.81421 24.98250 26.10441 25.09469 25.15078 25.76783 24.92640 25.20688 
##     7393     7394     7395     7396     7397     7398     7399     7400 
## 25.31907 25.37517 24.92640 25.76783 25.31907 25.54345 25.43126 24.92640 
##     7401     7402     7403     7404     7405     7406     7407     7408 
## 25.03859 25.65564 25.76783 25.37517 24.87031 25.37517 24.53373 25.37517 
##     7409     7410     7411     7412     7413     7414     7415     7416 
## 25.37517 24.87031 24.98250 25.65564 24.75812 25.09469 25.76783 25.48736 
##     7417     7418     7419     7420     7421     7422     7423     7424 
## 25.20688 25.59955 26.21660 25.82393 25.31907 25.20688 25.20688 25.48736 
##     7425     7426     7427     7428     7429     7430     7431     7432 
## 25.54345 25.37517 25.15078 25.43126 25.09469 25.26297 25.31907 25.20688 
##     7433     7434     7435     7436     7437     7438     7439     7440 
## 25.82393 25.15078 24.75812 25.43126 25.37517 25.65564 25.48736 26.10441 
##     7441     7442     7443     7444     7445     7446     7447     7448 
## 25.31907 24.75812 25.65564 25.31907 25.31907 24.92640 25.20688 25.88002 
##     7449     7450     7451     7452     7453     7454     7455     7456 
## 24.42154 24.53373 25.26297 24.47764 25.71174 24.92640 24.53373 24.92640 
##     7457     7458     7459     7460     7461     7462     7463     7464 
## 25.93612 25.20688 25.65564 25.54345 25.88002 25.20688 25.82393 25.99221 
##     7465     7466     7467     7468     7469     7470     7471     7472 
## 26.16050 25.48736 25.09469 25.59955 24.92640 25.76783 25.43126 25.93612 
##     7473     7474     7475     7476     7477     7478     7479     7480 
## 25.09469 25.48736 25.37517 25.37517 25.65564 25.48736 24.64593 25.71174 
##     7481     7482     7483     7484     7485     7486     7487     7488 
## 25.26297 26.04831 25.15078 25.37517 25.31907 25.37517 25.76783 25.37517 
##     7489     7490     7491     7492     7493     7494     7495     7496 
## 25.09469 25.20688 26.21660 25.54345 24.87031 24.81421 25.99221 25.54345 
##     7497     7498     7499     7500     7501     7502     7503     7504 
## 25.93612 25.31907 24.42154 25.54345 25.20688 26.16050 25.09469 24.70202 
##     7505     7506     7507     7508     7509     7510     7511     7512 
## 25.76783 25.82393 24.92640 25.82393 25.93612 25.48736 25.09469 24.81421 
##     7513     7514     7515     7516     7517     7518     7519     7520 
## 25.37517 25.37517 25.43126 25.93612 25.59955 24.98250 25.59955 25.93612 
##     7521     7522     7523     7524     7525     7526     7527     7528 
## 25.43126 24.53373 25.54345 24.81421 25.37517 24.98250 25.48736 25.59955 
##     7529     7530     7531     7532     7533     7534     7535     7536 
## 24.70202 25.43126 25.15078 24.70202 24.87031 24.81421 25.37517 25.54345 
##     7537     7538     7539     7540     7541     7542     7543     7544 
## 25.59955 24.92640 25.26297 25.20688 25.03859 24.81421 25.59955 25.59955 
##     7545     7546     7547     7548     7549     7550     7551     7552 
## 24.75812 25.48736 25.65564 25.31907 25.09469 24.98250 24.75812 25.37517 
##     7553     7554     7555     7556     7557     7558     7559     7560 
## 25.31907 24.98250 24.25326 25.31907 25.03859 24.92640 25.09469 25.99221 
##     7561     7562     7563     7564     7565     7566     7567     7568 
## 25.37517 24.81421 24.75812 24.53373 24.92640 25.20688 25.82393 25.48736 
##     7569     7570     7571     7572     7573     7574     7575     7576 
## 25.15078 25.43126 24.81421 25.09469 25.31907 25.31907 25.99221 26.10441 
##     7577     7578     7579     7580     7581     7582     7583     7584 
## 24.75812 25.03859 24.81421 25.59955 25.43126 24.75812 24.92640 24.19716 
##     7585     7586     7587     7588     7589     7590     7591     7592 
## 25.03859 25.15078 24.75812 25.48736 25.37517 25.03859 25.48736 25.48736 
##     7593     7594     7595     7596     7597     7598     7599     7600 
## 25.20688 25.09469 24.87031 25.31907 25.15078 24.98250 24.92640 25.54345 
##     7601     7602     7603     7604     7605     7606     7607     7608 
## 24.70202 25.37517 25.20688 25.31907 25.26297 24.25326 24.92640 25.20688 
##     7609     7610     7611     7612     7613     7614     7615     7616 
## 24.75812 24.42154 24.81421 25.65564 25.20688 25.37517 25.09469 25.48736 
##     7617     7618     7619     7620     7621     7622     7623     7624 
## 24.87031 24.98250 25.71174 26.04831 25.20688 25.59955 24.87031 24.92640 
##     7625     7626     7627     7628     7629     7630     7631     7632 
## 24.87031 24.92640 25.37517 25.09469 25.03859 24.98250 25.09469 25.15078 
##     7633     7634     7635     7636     7637     7638     7639     7640 
## 25.54345 25.03859 25.09469 25.26297 25.54345 25.65564 25.71174 25.15078 
##     7641     7642     7643     7644     7645     7646     7647     7648 
## 25.09469 24.87031 25.03859 24.81421 24.53373 24.64593 24.70202 24.98250 
##     7649     7650     7651     7652     7653     7654     7655     7656 
## 24.14107 24.98250 25.31907 25.31907 24.42154 25.65564 25.09469 24.64593 
##     7657     7658     7659     7660     7661     7662     7663     7664 
## 25.09469 25.54345 26.21660 24.87031 25.71174 25.03859 25.09469 25.03859 
##     7665     7666     7667     7668     7669     7670     7671     7672 
## 25.48736 24.75812 25.20688 25.48736 24.70202 25.54345 25.88002 25.03859 
##     7673     7674     7675     7676     7677     7678     7679     7680 
## 25.82393 25.15078 25.09469 25.48736 24.92640 25.54345 24.92640 25.20688 
##     7681     7682     7683     7684     7685     7686     7687     7688 
## 25.31907 25.59955 25.88002 24.58983 24.81421 25.20688 25.15078 24.53373 
##     7689     7690     7691     7692     7693     7694     7695     7696 
## 25.20688 25.37517 25.59955 25.31907 25.65564 24.92640 25.43126 25.31907 
##     7697     7698     7699     7700     7701     7702     7703     7704 
## 25.76783 24.64593 25.43126 25.48736 25.26297 24.92640 25.48736 25.37517 
##     7705     7706     7707     7708     7709     7710     7711     7712 
## 25.59955 25.26297 24.92640 25.15078 25.65564 26.16050 25.37517 25.48736 
##     7713     7714     7715     7716     7717     7718     7719     7720 
## 24.75812 25.48736 24.70202 24.64593 25.48736 25.09469 25.76783 25.43126 
##     7721     7722     7723     7724     7725     7726     7727     7728 
## 25.15078 25.48736 25.37517 25.43126 25.20688 26.44098 25.37517 26.10441 
##     7729     7730     7731     7732     7733     7734     7735     7736 
## 25.99221 25.03859 25.43126 25.31907 24.81421 25.76783 25.09469 25.09469 
##     7737     7738     7739     7740     7741     7742     7743     7744 
## 25.15078 25.26297 24.98250 25.82393 25.37517 25.31907 24.81421 24.81421 
##     7745     7746     7747     7748     7749     7750     7751     7752 
## 25.15078 25.65564 25.48736 25.31907 24.92640 25.48736 25.59955 25.15078 
##     7753     7754     7755     7756     7757     7758     7759     7760 
## 24.75812 24.87031 25.20688 24.92640 24.64593 24.64593 25.71174 24.92640 
##     7761     7762     7763     7764     7765     7766     7767     7768 
## 25.37517 25.37517 25.82393 25.71174 24.64593 24.30935 25.76783 25.15078 
##     7769     7770     7771     7772     7773     7774     7775     7776 
## 25.03859 25.48736 24.75812 25.37517 25.76783 25.48736 25.65564 24.81421 
##     7777     7778     7779     7780     7781     7782     7783     7784 
## 25.20688 25.37517 24.98250 24.75812 25.09469 25.48736 24.92640 25.43126 
##     7785     7786     7787     7788     7789     7790     7791     7792 
## 24.42154 24.70202 24.53373 25.48736 24.81421 24.87031 26.10441 25.37517 
##     7793     7794     7795     7796     7797     7798     7799     7800 
## 25.09469 25.76783 25.71174 24.53373 25.09469 24.70202 25.43126 25.71174 
##     7801     7802     7803     7804     7805     7806     7807     7808 
## 25.15078 25.65564 25.26297 25.48736 24.87031 25.48736 25.09469 25.20688 
##     7809     7810     7811     7812     7813     7814     7815     7816 
## 25.37517 24.98250 25.43126 24.53373 24.81421 25.48736 25.03859 24.64593 
##     7817     7818     7819     7820     7821     7822     7823     7824 
## 25.03859 25.31907 25.09469 24.81421 24.64593 25.20688 24.81421 25.31907 
##     7825     7826     7827     7828     7829     7830     7831     7832 
## 25.65564 25.65564 25.54345 24.75812 25.03859 24.98250 24.64593 25.48736 
##     7833     7834     7835     7836     7837     7838     7839     7840 
## 25.20688 26.32879 25.20688 25.54345 24.70202 25.48736 24.75812 25.26297 
##     7841     7842     7843     7844     7845     7846     7847     7848 
## 25.20688 25.09469 25.59955 24.53373 24.92640 25.54345 25.37517 25.20688 
##     7849     7850     7851     7852     7853     7854     7855     7856 
## 25.37517 25.15078 25.65564 25.76783 25.20688 24.81421 24.92640 25.82393 
##     7857     7858     7859     7860     7861     7862     7863     7864 
## 25.48736 24.87031 25.43126 25.43126 24.87031 24.98250 24.92640 25.65564 
##     7865     7866     7867     7868     7869     7870     7871     7872 
## 25.31907 25.54345 24.87031 25.31907 25.54345 25.48736 25.43126 24.64593 
##     7873     7874     7875     7876     7877     7878     7879     7880 
## 24.92640 25.65564 25.54345 24.81421 24.81421 24.87031 25.59955 24.98250 
##     7881     7882     7883     7884     7885     7886     7887     7888 
## 25.37517 25.15078 24.64593 25.59955 25.71174 24.98250 25.31907 24.98250 
##     7889     7890     7891     7892     7893     7894     7895     7896 
## 25.15078 24.64593 25.59955 24.92640 25.26297 25.76783 26.10441 25.48736 
##     7897     7898     7899     7900     7901     7902     7903     7904 
## 25.76783 25.20688 24.70202 25.76783 25.54345 25.31907 25.99221 25.65564 
##     7905     7906     7907     7908     7909     7910     7911     7912 
## 26.04831 25.03859 25.09469 25.48736 25.88002 25.82393 24.92640 25.59955 
##     7913     7914     7915     7916     7917     7918     7919     7920 
## 25.09469 25.59955 25.43126 24.81421 25.48736 25.31907 25.93612 25.31907 
##     7921     7922     7923     7924     7925     7926     7927     7928 
## 25.65564 25.76783 25.71174 25.65564 24.81421 25.26297 25.20688 25.20688 
##     7929     7930     7931     7932     7933     7934     7935     7936 
## 25.37517 25.09469 25.20688 25.15078 25.65564 25.48736 24.87031 25.54345 
##     7937     7938     7939     7940     7941     7942     7943     7944 
## 24.81421 24.81421 25.20688 25.99221 24.87031 24.42154 25.71174 25.20688 
##     7945     7946     7947     7948     7949     7950     7951     7952 
## 24.98250 25.65564 25.20688 24.47764 25.09469 24.92640 25.20688 25.03859 
##     7953     7954     7955     7956     7957     7958     7959     7960 
## 25.20688 24.75812 25.15078 25.37517 24.81421 25.93612 24.81421 25.48736 
##     7961     7962     7963     7964     7965     7966     7967     7968 
## 25.15078 25.48736 24.98250 25.20688 25.26297 24.75812 24.81421 25.82393 
##     7969     7970     7971     7972     7973     7974     7975     7976 
## 25.59955 24.64593 25.26297 24.75812 24.87031 25.20688 25.54345 24.70202 
##     7977     7978     7979     7980     7981     7982     7983     7984 
## 25.76783 25.88002 24.87031 25.54345 25.88002 25.48736 25.37517 25.20688 
##     7985     7986     7987     7988     7989     7990     7991     7992 
## 24.98250 25.09469 24.92640 25.82393 24.53373 25.43126 25.76783 24.98250 
##     7993     7994     7995     7996     7997     7998     7999     8000 
## 25.20688 25.03859 25.48736 25.37517 25.54345 26.04831 25.09469 25.65564 
##     8001     8002     8003     8004     8005     8006     8007     8008 
## 24.81421 25.43126 25.99221 25.59955 25.48736 25.20688 25.43126 25.20688 
##     8009     8010     8011     8012     8013     8014     8015     8016 
## 25.03859 25.15078 25.71174 25.37517 25.48736 24.75812 25.76783 24.98250 
##     8017     8018     8019     8020     8021     8022     8023     8024 
## 26.27269 25.37517 24.98250 25.09469 24.87031 26.10441 25.65564 25.43126 
##     8025     8026     8027     8028     8029     8030     8031     8032 
## 25.43126 25.48736 24.81421 24.98250 24.81421 25.48736 25.26297 25.43126 
##     8033     8034     8035     8036     8037     8038     8039     8040 
## 25.20688 25.37517 25.15078 25.15078 25.88002 25.20688 24.75812 25.76783 
##     8041     8042     8043     8044     8045     8046     8047     8048 
## 25.65564 24.70202 25.93612 25.43126 25.43126 25.20688 24.92640 25.54345 
##     8049     8050     8051     8052     8053     8054     8055     8056 
## 25.65564 25.20688 25.43126 25.26297 24.42154 25.37517 25.37517 24.64593 
##     8057     8058     8059     8060     8061     8062     8063     8064 
## 25.15078 24.92640 25.37517 25.43126 24.92640 24.92640 25.76783 25.31907 
##     8065     8066     8067     8068     8069     8070     8071     8072 
## 25.65564 25.65564 24.64593 25.43126 24.81421 24.58983 25.54345 24.53373 
##     8073     8074     8075     8076     8077     8078     8079     8080 
## 25.26297 25.20688 25.15078 25.09469 25.37517 24.75812 24.92640 25.65564 
##     8081     8082     8083     8084     8085     8086     8087     8088 
## 25.37517 25.59955 25.31907 25.09469 25.31907 25.48736 25.09469 25.20688 
##     8089     8090     8091     8092     8093     8094     8095     8096 
## 24.70202 25.71174 24.98250 25.43126 25.09469 25.37517 24.81421 25.20688 
##     8097     8098     8099     8100     8101     8102     8103     8104 
## 25.37517 25.48736 25.48736 25.31907 24.53373 25.09469 25.09469 25.37517 
##     8105     8106     8107     8108     8109     8110     8111     8112 
## 25.15078 25.09469 25.48736 24.64593 25.88002 25.09469 26.10441 25.76783 
##     8113     8114     8115     8116     8117     8118     8119     8120 
## 25.20688 25.26297 25.20688 25.43126 25.48736 25.59955 24.81421 24.87031 
##     8121     8122     8123     8124     8125     8126     8127     8128 
## 25.54345 25.99221 25.43126 25.48736 25.37517 24.47764 25.93612 24.70202 
##     8129     8130     8131     8132     8133     8134     8135     8136 
## 26.04831 25.48736 24.87031 25.09469 25.20688 24.81421 25.09469 24.92640 
##     8137     8138     8139     8140     8141     8142     8143     8144 
## 25.26297 25.65564 24.81421 24.92640 25.82393 25.59955 25.15078 25.26297 
##     8145     8146     8147     8148     8149     8150     8151     8152 
## 25.88002 24.87031 26.04831 25.31907 25.37517 25.59955 25.65564 25.88002 
##     8153     8154     8155     8156     8157     8158     8159     8160 
## 25.93612 25.03859 25.65564 25.65564 25.65564 25.65564 25.76783 25.48736 
##     8161     8162     8163     8164     8165     8166     8167     8168 
## 25.20688 25.26297 24.98250 25.15078 25.82393 25.71174 24.70202 24.81421 
##     8169     8170     8171     8172     8173     8174     8175     8176 
## 24.92640 25.26297 25.09469 26.16050 25.26297 25.93612 25.65564 25.88002 
##     8177     8178     8179     8180     8181     8182     8183     8184 
## 25.26297 24.92640 24.92640 25.15078 25.37517 25.26297 25.20688 25.93612 
##     8185     8186     8187     8188     8189     8190     8191     8192 
## 24.98250 24.70202 24.98250 25.76783 25.65564 25.54345 24.92640 25.03859 
##     8193     8194     8195     8196     8197     8198     8199     8200 
## 25.76783 25.20688 25.54345 24.70202 24.64593 25.31907 25.65564 25.31907 
##     8201     8202     8203     8204     8205     8206     8207     8208 
## 26.49707 25.31907 24.98250 25.37517 25.37517 25.20688 25.43126 25.82393 
##     8209     8210     8211     8212     8213     8214     8215     8216 
## 24.87031 24.98250 25.93612 24.98250 24.92640 25.37517 24.64593 25.26297 
##     8217     8218     8219     8220     8221     8222     8223     8224 
## 25.93612 25.20688 25.03859 25.59955 25.65564 25.20688 26.10441 24.53373 
##     8225     8226     8227     8228     8229     8230     8231     8232 
## 25.26297 24.47764 25.09469 25.26297 25.59955 25.43126 25.20688 25.15078 
##     8233     8234     8235     8236     8237     8238     8239     8240 
## 24.92640 25.09469 25.09469 25.20688 25.65564 25.93612 25.65564 25.54345 
##     8241     8242     8243     8244     8245     8246     8247     8248 
## 25.37517 25.76783 24.98250 25.37517 25.20688 25.82393 24.81421 25.31907 
##     8249     8250     8251     8252     8253     8254     8255     8256 
## 25.82393 24.87031 25.82393 25.54345 25.03859 26.04831 25.54345 25.37517 
##     8257     8258     8259     8260     8261     8262     8263     8264 
## 25.43126 25.54345 26.10441 25.48736 25.76783 25.82393 25.20688 25.59955 
##     8265     8266     8267     8268     8269     8270     8271     8272 
## 25.48736 25.59955 25.82393 24.47764 25.54345 24.64593 25.37517 25.09469 
##     8273     8274     8275     8276     8277     8278     8279     8280 
## 25.48736 25.15078 25.54345 25.43126 26.16050 24.70202 25.76783 25.71174 
##     8281     8282     8283     8284     8285     8286     8287     8288 
## 25.43126 25.20688 25.65564 25.65564 25.15078 25.99221 25.65564 25.59955 
##     8289     8290     8291     8292     8293     8294     8295     8296 
## 25.54345 25.54345 25.48736 25.76783 25.54345 25.48736 25.43126 25.71174 
##     8297     8298     8299     8300     8301     8302     8303     8304 
## 25.20688 25.43126 25.65564 25.37517 25.31907 25.26297 25.48736 24.87031 
##     8305     8306     8307     8308     8309     8310     8311     8312 
## 25.03859 25.31907 25.54345 24.92640 25.43126 25.20688 24.64593 25.59955 
##     8313     8314     8315     8316     8317     8318     8319     8320 
## 25.76783 25.43126 25.20688 25.09469 25.71174 25.37517 24.98250 25.20688 
##     8321     8322     8323     8324     8325     8326     8327     8328 
## 25.48736 25.09469 25.76783 24.92640 25.31907 25.59955 25.65564 25.31907 
##     8329     8330     8331     8332     8333     8334     8335     8336 
## 25.65564 25.20688 24.98250 25.65564 24.53373 25.26297 25.48736 25.59955 
##     8337     8338     8339     8340     8341     8342     8343     8344 
## 24.98250 24.92640 25.37517 25.71174 24.92640 25.09469 24.92640 25.48736 
##     8345     8346     8347     8348     8349     8350     8351     8352 
## 25.76783 25.26297 25.65564 25.37517 25.15078 25.54345 25.54345 25.09469 
##     8353     8354     8355     8356     8357     8358     8359     8360 
## 25.26297 25.09469 25.71174 25.20688 25.37517 25.20688 24.47764 24.92640 
##     8361     8362     8363     8364     8365     8366     8367     8368 
## 25.71174 24.98250 24.75812 25.37517 25.20688 25.43126 25.20688 25.82393 
##     8369     8370     8371     8372     8373     8374     8375     8376 
## 25.48736 24.64593 25.65564 24.75812 25.59955 25.31907 24.81421 25.82393 
##     8377     8378     8379     8380     8381     8382     8383     8384 
## 25.09469 25.59955 25.76783 25.26297 25.03859 25.09469 25.59955 25.59955 
##     8385     8386     8387     8388     8389     8390     8391     8392 
## 25.65564 25.48736 25.65564 25.48736 25.59955 25.31907 25.71174 25.59955 
##     8393     8394     8395     8396     8397     8398     8399     8400 
## 24.64593 25.37517 25.65564 25.48736 25.20688 25.31907 25.59955 25.48736 
##     8401     8402     8403     8404     8405     8406     8407     8408 
## 25.71174 25.43126 25.03859 25.37517 24.75812 25.09469 25.48736 24.53373 
##     8409     8410     8411     8412     8413     8414     8415     8416 
## 25.20688 24.64593 25.48736 25.65564 25.54345 24.42154 24.98250 24.92640 
##     8417     8418     8419     8420     8421     8422     8423     8424 
## 25.37517 25.09469 25.09469 25.15078 25.37517 25.54345 25.76783 24.92640 
##     8425     8426     8427     8428     8429     8430     8431     8432 
## 25.03859 25.20688 25.03859 25.48736 24.64593 24.92640 24.92640 24.98250 
##     8433     8434     8435     8436     8437     8438     8439     8440 
## 25.65564 25.37517 25.09469 25.09469 25.82393 25.65564 24.98250 25.65564 
##     8441     8442     8443     8444     8445     8446     8447     8448 
## 24.70202 25.93612 25.09469 25.15078 25.93612 25.15078 25.20688 25.20688 
##     8449     8450     8451     8452     8453     8454     8455     8456 
## 26.04831 25.48736 25.65564 25.76783 25.03859 25.37517 25.15078 25.09469 
##     8457     8458     8459     8460     8461     8462     8463     8464 
## 25.37517 24.87031 25.48736 24.75812 25.99221 25.65564 25.31907 25.71174 
##     8465     8466     8467     8468     8469     8470     8471     8472 
## 25.43126 26.16050 25.65564 25.03859 25.31907 25.48736 25.54345 25.03859 
##     8473     8474     8475     8476     8477     8478     8479     8480 
## 25.26297 25.99221 24.98250 24.70202 24.98250 25.15078 25.37517 25.48736 
##     8481     8482     8483     8484     8485     8486     8487     8488 
## 25.31907 24.75812 24.98250 25.20688 25.03859 25.37517 25.15078 25.82393 
##     8489     8490     8491     8492     8493     8494     8495     8496 
## 25.59955 25.31907 25.37517 24.92640 24.75812 25.15078 25.54345 25.65564 
##     8497     8498     8499     8500     8501     8502     8503     8504 
## 24.98250 25.65564 24.81421 25.31907 25.09469 25.37517 25.82393 25.37517 
##     8505     8506     8507     8508     8509     8510     8511     8512 
## 25.20688 24.92640 25.26297 25.76783 25.20688 25.31907 25.20688 25.82393 
##     8513     8514     8515     8516     8517     8518     8519     8520 
## 25.09469 25.03859 24.81421 24.92640 25.31907 25.09469 24.92640 25.48736 
##     8521     8522     8523     8524     8525     8526     8527     8528 
## 25.20688 25.43126 25.65564 24.81421 25.71174 26.38488 25.03859 25.37517 
##     8529     8530     8531     8532     8533     8534     8535     8536 
## 25.20688 25.20688 25.37517 24.92640 25.54345 25.03859 24.30935 24.75812 
##     8537     8538     8539     8540     8541     8542     8543     8544 
## 25.03859 25.20688 25.71174 25.93612 24.98250 25.82393 25.37517 25.20688 
##     8545     8546     8547     8548     8549     8550     8551     8552 
## 25.31907 25.15078 25.54345 25.43126 26.10441 25.59955 25.59955 25.37517 
##     8553     8554     8555     8556     8557     8558     8559     8560 
## 25.65564 24.53373 25.65564 24.92640 25.26297 25.20688 24.81421 25.09469 
##     8561     8562     8563     8564     8565     8566     8567     8568 
## 24.92640 24.70202 25.43126 25.15078 25.71174 24.92640 25.03859 24.92640 
##     8569     8570     8571     8572     8573     8574     8575     8576 
## 25.54345 25.31907 25.48736 24.75812 25.71174 25.65564 25.59955 24.92640 
##     8577     8578     8579     8580     8581     8582     8583     8584 
## 25.54345 25.31907 25.09469 25.76783 25.65564 24.64593 25.26297 25.59955 
##     8585     8586     8587     8588     8589     8590     8591     8592 
## 24.70202 25.48736 25.76783 25.71174 24.92640 25.48736 25.54345 24.58983 
##     8593     8594     8595     8596     8597     8598     8599     8600 
## 25.31907 24.81421 25.43126 25.15078 25.43126 25.03859 25.59955 25.09469 
##     8601     8602     8603     8604     8605     8606     8607     8608 
## 26.10441 25.31907 24.81421 24.92640 25.03859 25.15078 25.20688 24.92640 
##     8609     8610     8611     8612     8613     8614     8615     8616 
## 25.54345 25.59955 24.98250 24.58983 25.37517 25.15078 25.54345 24.87031 
##     8617     8618     8619     8620     8621     8622     8623     8624 
## 25.03859 24.47764 25.88002 24.81421 24.87031 25.15078 25.48736 24.87031 
##     8625     8626     8627     8628     8629     8630     8631     8632 
## 25.09469 25.26297 25.65564 25.26297 25.20688 25.48736 24.87031 25.54345 
##     8633     8634     8635     8636     8637     8638     8639     8640 
## 25.54345 25.31907 25.76783 24.98250 25.09469 24.92640 25.37517 24.64593 
##     8641     8642     8643     8644     8645     8646     8647     8648 
## 25.43126 25.09469 24.98250 25.31907 24.58983 24.64593 24.58983 24.42154 
##     8649     8650     8651     8652     8653     8654     8655     8656 
## 25.48736 24.75812 25.09469 24.58983 25.03859 25.54345 25.15078 24.64593 
##     8657     8658     8659     8660     8661     8662     8663     8664 
## 25.03859 25.48736 25.31907 24.64593 24.81421 25.59955 25.99221 24.98250 
##     8665     8666     8667     8668     8669     8670     8671     8672 
## 24.81421 25.88002 25.43126 25.31907 25.59955 24.47764 24.98250 25.15078 
##     8673     8674     8675     8676     8677     8678     8679     8680 
## 25.20688 24.92640 25.48736 25.43126 25.71174 25.88002 25.43126 25.59955 
##     8681     8682     8683     8684     8685     8686     8687     8688 
## 25.03859 25.15078 25.26297 25.09469 25.37517 25.54345 25.76783 24.92640 
##     8689     8690     8691     8692     8693     8694     8695     8696 
## 25.26297 25.31907 25.20688 24.87031 24.64593 25.59955 24.75812 25.15078 
##     8697     8698     8699     8700     8701     8702     8703     8704 
## 24.64593 24.81421 25.48736 25.65564 24.92640 24.64593 25.88002 24.53373 
##     8705     8706     8707     8708     8709     8710     8711     8712 
## 25.43126 24.98250 24.87031 24.98250 24.81421 24.75812 24.81421 25.26297 
##     8713     8714     8715     8716     8717     8718     8719     8720 
## 25.71174 24.75812 25.31907 24.92640 25.76783 25.26297 24.92640 25.31907 
##     8721     8722     8723     8724     8725     8726     8727     8728 
## 25.43126 25.43126 25.59955 25.59955 25.20688 24.98250 26.10441 24.92640 
##     8729     8730     8731     8732     8733     8734     8735     8736 
## 25.65564 25.15078 24.98250 24.25326 24.64593 25.48736 25.09469 25.43126 
##     8737     8738     8739     8740     8741     8742     8743     8744 
## 24.98250 26.04831 25.03859 24.81421 25.48736 24.70202 25.20688 25.65564 
##     8745     8746     8747     8748     8749     8750     8751     8752 
## 25.82393 25.15078 25.26297 25.31907 25.82393 25.59955 25.37517 25.09469 
##     8753     8754     8755     8756     8757     8758     8759     8760 
## 24.87031 25.20688 25.09469 25.20688 24.70202 24.92640 25.54345 25.31907 
##     8761     8762     8763     8764     8765     8766     8767     8768 
## 25.59955 25.88002 25.99221 25.03859 24.70202 25.48736 25.76783 24.64593 
##     8769     8770     8771     8772     8773     8774     8775     8776 
## 24.75812 24.81421 25.31907 25.93612 25.37517 25.48736 25.20688 25.26297 
##     8777     8778     8779     8780     8781     8782     8783     8784 
## 25.20688 25.15078 25.76783 25.09469 24.98250 25.37517 25.15078 25.37517 
##     8785     8786     8787     8788     8789     8790     8791     8792 
## 25.20688 25.09469 25.20688 25.15078 25.48736 25.15078 25.20688 25.26297 
##     8793     8794     8795     8796     8797     8798     8799     8800 
## 25.54345 25.20688 24.87031 26.10441 25.93612 25.65564 25.20688 25.54345 
##     8801     8802     8803     8804     8805     8806     8807     8808 
## 24.64593 25.82393 25.48736 25.03859 25.09469 25.59955 25.43126 24.81421 
##     8809     8810     8811     8812     8813     8814     8815     8816 
## 24.81421 25.37517 25.76783 25.59955 26.04831 25.09469 25.48736 24.70202 
##     8817     8818     8819     8820     8821     8822     8823     8824 
## 25.43126 24.70202 25.26297 24.87031 25.65564 25.09469 24.81421 25.20688 
##     8825     8826     8827     8828     8829     8830     8831     8832 
## 25.43126 24.98250 25.09469 25.26297 24.98250 25.26297 24.92640 25.09469 
##     8833     8834     8835     8836     8837     8838     8839     8840 
## 25.71174 25.15078 25.09469 24.64593 24.98250 24.64593 24.87031 25.26297 
##     8841     8842     8843     8844     8845     8846     8847     8848 
## 25.43126 25.37517 24.92640 24.42154 24.64593 24.98250 25.26297 25.76783 
##     8849     8850     8851     8852     8853     8854     8855     8856 
## 25.76783 25.20688 25.37517 25.03859 24.98250 25.54345 24.53373 25.15078 
##     8857     8858     8859     8860     8861     8862     8863     8864 
## 25.59955 24.81421 24.81421 24.92640 25.54345 24.70202 25.37517 25.43126 
##     8865     8866     8867     8868     8869     8870     8871     8872 
## 25.59955 25.03859 25.48736 24.64593 24.92640 25.09469 24.81421 25.31907 
##     8873     8874     8875     8876     8877     8878     8879     8880 
## 25.37517 25.43126 25.09469 25.43126 25.26297 24.98250 25.54345 25.37517 
##     8881     8882     8883     8884     8885     8886     8887     8888 
## 25.20688 25.76783 25.93612 25.37517 24.58983 25.09469 25.65564 25.03859 
##     8889     8890     8891     8892     8893     8894     8895     8896 
## 24.98250 25.31907 25.09469 25.65564 24.64593 25.09469 25.03859 25.76783 
##     8897     8898     8899     8900     8901     8902     8903     8904 
## 25.54345 25.37517 24.92640 25.20688 24.92640 25.76783 24.81421 24.87031 
##     8905     8906     8907     8908     8909     8910     8911     8912 
## 25.76783 25.09469 24.64593 24.87031 25.26297 25.03859 25.09469 25.20688 
##     8913     8914     8915     8916     8917     8918     8919     8920 
## 25.37517 25.99221 25.03859 25.59955 25.20688 25.48736 24.64593 24.92640 
##     8921     8922     8923     8924     8925     8926     8927     8928 
## 25.59955 25.88002 25.71174 24.92640 25.48736 25.65564 24.81421 25.48736 
##     8929     8930     8931     8932     8933     8934     8935     8936 
## 25.31907 24.98250 24.25326 25.43126 24.64593 25.37517 24.98250 25.76783 
##     8937     8938     8939     8940     8941     8942     8943     8944 
## 25.15078 24.92640 24.81421 25.20688 25.26297 25.20688 25.43126 25.26297 
##     8945     8946     8947     8948     8949     8950     8951     8952 
## 25.59955 24.87031 25.88002 24.87031 25.37517 24.87031 25.20688 24.92640 
##     8953     8954     8955     8956     8957     8958     8959     8960 
## 25.09469 25.37517 25.26297 24.64593 25.26297 25.43126 25.37517 25.37517 
##     8961     8962     8963     8964     8965     8966     8967     8968 
## 25.09469 25.76783 25.59955 24.75812 24.98250 25.03859 24.87031 25.65564 
##     8969     8970     8971     8972     8973     8974     8975     8976 
## 25.65564 25.48736 25.93612 25.54345 26.04831 24.47764 25.48736 25.71174 
##     8977     8978     8979     8980     8981     8982     8983     8984 
## 24.47764 25.09469 24.81421 25.09469 25.20688 25.09469 25.37517 25.09469 
##     8985     8986     8987     8988     8989     8990     8991     8992 
## 24.36545 25.48736 25.88002 25.03859 24.53373 25.20688 25.54345 24.53373 
##     8993     8994     8995     8996     8997     8998     8999     9000 
## 25.37517 25.20688 25.03859 25.09469 25.48736 25.48736 25.43126 25.15078 
##     9001     9002     9003     9004     9005     9006     9007     9008 
## 25.20688 25.09469 25.20688 24.87031 25.09469 25.09469 25.76783 25.03859 
##     9009     9010     9011     9012     9013     9014     9015     9016 
## 25.88002 25.65564 24.75812 24.92640 25.26297 25.26297 25.31907 25.26297 
##     9017     9018     9019     9020     9021     9022     9023     9024 
## 25.15078 25.03859 24.98250 25.59955 25.76783 25.65564 25.48736 25.43126 
##     9025     9026     9027     9028     9029     9030     9031     9032 
## 24.64593 25.54345 24.92640 25.76783 25.26297 25.20688 24.87031 25.26297 
##     9033     9034     9035     9036     9037     9038     9039     9040 
## 25.37517 25.88002 24.64593 25.82393 25.31907 25.65564 25.88002 26.04831 
##     9041     9042     9043     9044     9045     9046     9047     9048 
## 24.92640 25.59955 24.87031 25.37517 25.37517 25.43126 25.48736 24.70202 
##     9049     9050     9051     9052     9053     9054     9055     9056 
## 25.31907 25.09469 24.87031 25.82393 25.15078 24.98250 25.15078 25.26297 
##     9057     9058     9059     9060     9061     9062     9063     9064 
## 26.10441 25.37517 24.98250 25.59955 25.48736 25.88002 25.26297 25.43126 
##     9065     9066     9067     9068     9069     9070     9071     9072 
## 25.71174 25.09469 25.31907 25.76783 24.70202 25.15078 25.82393 25.48736 
##     9073     9074     9075     9076     9077     9078     9079     9080 
## 25.26297 25.37517 24.92640 25.48736 25.09469 25.09469 25.09469 24.98250 
##     9081     9082     9083     9084     9085     9086     9087     9088 
## 25.93612 24.87031 25.15078 24.87031 24.75812 25.59955 25.43126 24.98250 
##     9089     9090     9091     9092     9093     9094     9095     9096 
## 25.26297 25.88002 24.92640 24.92640 24.81421 25.31907 25.76783 25.31907 
##     9097     9098     9099     9100     9101     9102     9103     9104 
## 24.36545 25.20688 25.20688 26.21660 25.26297 25.65564 25.26297 25.48736 
##     9105     9106     9107     9108     9109     9110     9111     9112 
## 24.92640 25.59955 25.65564 25.65564 24.70202 25.93612 24.64593 25.15078 
##     9113     9114     9115     9116     9117     9118     9119     9120 
## 24.64593 24.19716 25.31907 24.98250 25.93612 25.31907 25.65564 25.43126 
##     9121     9122     9123     9124     9125     9126     9127     9128 
## 24.75812 25.43126 24.92640 25.65564 25.37517 25.26297 24.98250 24.81421 
##     9129     9130     9131     9132     9133     9134     9135     9136 
## 24.81421 25.20688 25.31907 25.65564 25.03859 25.31907 25.82393 25.93612 
##     9137     9138     9139     9140     9141     9142     9143     9144 
## 25.03859 25.82393 24.87031 25.37517 25.54345 25.31907 25.65564 26.10441 
##     9145     9146     9147     9148     9149     9150     9151     9152 
## 25.43126 24.64593 25.31907 25.20688 25.15078 25.93612 25.20688 25.99221 
##     9153     9154     9155     9156     9157     9158     9159     9160 
## 25.71174 25.31907 25.15078 25.37517 24.92640 25.03859 25.48736 25.48736 
##     9161     9162     9163     9164     9165     9166     9167     9168 
## 24.81421 24.75812 25.71174 25.37517 25.82393 25.82393 25.76783 25.43126 
##     9169     9170     9171     9172     9173     9174     9175     9176 
## 25.54345 24.92640 24.98250 25.31907 25.15078 25.59955 25.54345 25.15078 
##     9177     9178     9179     9180     9181     9182     9183     9184 
## 25.31907 25.37517 25.88002 25.65564 25.20688 25.65564 24.81421 25.65564 
##     9185     9186     9187     9188     9189     9190     9191     9192 
## 25.09469 25.37517 25.20688 25.82393 25.93612 24.81421 25.93612 24.64593 
##     9193     9194     9195     9196     9197     9198     9199     9200 
## 25.15078 24.36545 25.48736 25.03859 25.54345 25.43126 24.81421 24.87031 
##     9201     9202     9203     9204     9205     9206     9207     9208 
## 25.15078 25.03859 24.42154 25.99221 25.37517 25.37517 25.37517 24.92640 
##     9209     9210     9211     9212     9213     9214     9215     9216 
## 26.60926 25.59955 26.10441 26.21660 25.82393 25.82393 24.92640 25.43126 
##     9217     9218     9219     9220     9221     9222     9223     9224 
## 25.37517 25.20688 25.93612 25.15078 25.59955 25.09469 25.76783 25.48736 
##     9225     9226     9227     9228     9229     9230     9231     9232 
## 25.43126 25.76783 25.93612 24.92640 25.59955 25.20688 25.31907 25.88002 
##     9233     9234     9235     9236     9237     9238     9239     9240 
## 25.26297 24.75812 25.82393 25.20688 24.64593 25.71174 25.82393 24.98250 
##     9241     9242     9243     9244     9245     9246     9247     9248 
## 25.31907 25.20688 25.82393 25.26297 25.15078 25.88002 25.82393 25.31907 
##     9249     9250     9251     9252     9253     9254     9255     9256 
## 24.70202 25.20688 25.59955 25.31907 25.54345 25.20688 25.20688 24.47764 
##     9257     9258     9259     9260     9261     9262     9263     9264 
## 25.31907 25.09469 25.59955 25.37517 24.30935 25.20688 25.37517 25.71174 
##     9265     9266     9267     9268     9269     9270     9271     9272 
## 24.92640 25.76783 25.54345 25.54345 24.92640 24.98250 25.76783 24.47764 
##     9273     9274     9275     9276     9277     9278     9279     9280 
## 25.26297 25.09469 25.59955 25.20688 25.37517 25.59955 24.92640 25.37517 
##     9281     9282     9283     9284     9285     9286     9287     9288 
## 25.09469 25.20688 25.37517 24.92640 25.59955 25.59955 24.81421 25.54345 
##     9289     9290     9291     9292     9293     9294     9295     9296 
## 25.48736 24.81421 25.09469 25.20688 24.92640 25.09469 24.92640 25.48736 
##     9297     9298     9299     9300     9301     9302     9303     9304 
## 25.43126 25.31907 25.48736 25.26297 25.82393 25.09469 25.26297 25.54345 
##     9305     9306     9307     9308     9309     9310     9311     9312 
## 25.43126 25.54345 25.20688 25.26297 25.03859 26.10441 24.53373 25.09469 
##     9313     9314     9315     9316     9317     9318     9319     9320 
## 25.31907 25.54345 25.43126 25.37517 25.59955 25.54345 25.37517 25.37517 
##     9321     9322     9323     9324     9325     9326     9327     9328 
## 25.43126 24.42154 25.88002 25.82393 25.82393 24.81421 25.93612 25.76783 
##     9329     9330     9331     9332     9333     9334     9335     9336 
## 25.20688 25.31907 25.15078 25.09469 25.54345 25.20688 24.70202 25.59955 
##     9337     9338     9339     9340     9341     9342     9343     9344 
## 25.20688 25.43126 25.03859 24.81421 24.92640 25.37517 25.65564 25.26297 
##     9345     9346     9347     9348     9349     9350     9351     9352 
## 25.09469 25.71174 25.26297 25.26297 25.65564 25.88002 25.48736 24.98250 
##     9353     9354     9355     9356     9357     9358     9359     9360 
## 25.71174 25.88002 25.43126 25.09469 24.19716 25.59955 25.03859 24.64593 
##     9361     9362     9363     9364     9365     9366     9367     9368 
## 25.09469 24.87031 25.93612 24.81421 25.82393 25.88002 25.09469 25.71174 
##     9369     9370     9371     9372     9373     9374     9375     9376 
## 25.76783 25.31907 25.03859 24.92640 25.43126 25.65564 25.65564 25.48736 
##     9377     9378     9379     9380     9381     9382     9383     9384 
## 25.48736 25.48736 25.54345 25.37517 25.37517 25.09469 25.43126 25.65564 
##     9385     9386     9387     9388     9389     9390     9391     9392 
## 26.04831 25.71174 25.03859 25.48736 25.54345 25.59955 24.87031 25.65564 
##     9393     9394     9395     9396     9397     9398     9399     9400 
## 25.20688 24.64593 25.15078 25.59955 25.37517 25.43126 25.26297 24.81421 
##     9401     9402     9403     9404     9405     9406     9407     9408 
## 25.48736 25.20688 24.87031 25.43126 25.82393 25.43126 24.53373 25.93612 
##     9409     9410     9411     9412     9413     9414     9415     9416 
## 24.98250 25.65564 25.93612 25.88002 25.09469 25.31907 25.43126 24.92640 
##     9417     9418     9419     9420     9421     9422     9423     9424 
## 25.31907 25.15078 25.09469 25.31907 25.93612 24.92640 25.65564 25.88002 
##     9425     9426     9427     9428     9429     9430     9431     9432 
## 25.48736 25.09469 25.43126 25.48736 25.76783 24.70202 24.98250 25.71174 
##     9433     9434     9435     9436     9437     9438     9439     9440 
## 25.31907 25.37517 25.31907 25.48736 25.09469 24.87031 24.53373 25.09469 
##     9441     9442     9443     9444     9445     9446     9447     9448 
## 25.26297 25.65564 26.10441 25.48736 25.26297 25.31907 25.31907 25.48736 
##     9449     9450     9451     9452     9453     9454     9455     9456 
## 24.87031 24.75812 25.48736 24.58983 25.31907 25.93612 25.65564 26.04831 
##     9457     9458     9459     9460     9461     9462     9463     9464 
## 25.20688 24.98250 24.25326 24.98250 24.64593 24.75812 25.48736 25.48736 
##     9465     9466     9467     9468     9469     9470     9471     9472 
## 24.47764 25.59955 25.09469 24.87031 25.03859 25.03859 26.10441 24.92640 
##     9473     9474     9475     9476     9477     9478     9479     9480 
## 25.82393 24.98250 25.31907 25.54345 24.98250 24.81421 24.64593 25.09469 
##     9481     9482     9483     9484     9485     9486     9487     9488 
## 25.20688 25.20688 25.65564 25.15078 24.64593 24.81421 24.87031 24.98250 
##     9489     9490     9491     9492     9493     9494     9495     9496 
## 25.54345 25.54345 25.43126 25.48736 24.64593 25.48736 25.09469 25.43126 
##     9497     9498     9499     9500     9501     9502     9503     9504 
## 25.65564 25.65564 25.48736 25.48736 25.31907 25.76783 25.59955 25.20688 
##     9505     9506     9507     9508     9509     9510     9511     9512 
## 25.20688 24.87031 25.15078 25.03859 25.37517 25.65564 25.37517 25.65564 
##     9513     9514     9515     9516     9517     9518     9519     9520 
## 25.88002 25.48736 25.93612 25.20688 25.20688 25.37517 25.09469 25.20688 
##     9521     9522     9523     9524     9525     9526     9527     9528 
## 25.09469 25.20688 24.98250 25.65564 25.20688 25.71174 25.31907 25.37517 
##     9529     9530     9531     9532     9533     9534     9535     9536 
## 24.92640 25.20688 25.65564 25.09469 24.98250 25.48736 25.93612 25.93612 
##     9537     9538     9539     9540     9541     9542     9543     9544 
## 25.48736 25.59955 25.48736 25.15078 25.03859 25.26297 25.37517 25.31907 
##     9545     9546     9547     9548     9549     9550     9551     9552 
## 25.09469 25.54345 25.37517 25.20688 25.65564 25.43126 25.71174 24.70202 
##     9553     9554     9555     9556     9557     9558     9559     9560 
## 25.09469 25.20688 25.65564 24.92640 24.81421 25.15078 25.09469 25.76783 
##     9561     9562     9563     9564     9565     9566     9567     9568 
## 25.65564 25.59955 25.03859 24.64593 25.20688 25.03859 25.43126 25.20688 
##     9569     9570     9571     9572     9573     9574     9575     9576 
## 24.98250 25.99221 25.31907 25.20688 25.82393 25.37517 25.43126 25.26297 
##     9577     9578     9579     9580     9581     9582     9583     9584 
## 25.65564 25.31907 25.37517 24.98250 25.43126 25.59955 25.71174 25.20688 
##     9585     9586     9587     9588     9589     9590     9591     9592 
## 25.26297 25.54345 25.09469 24.75812 25.20688 25.26297 25.37517 25.65564 
##     9593     9594     9595     9596     9597     9598     9599     9600 
## 25.99221 25.65564 25.31907 25.15078 25.43126 25.31907 26.10441 25.43126 
##     9601     9602     9603     9604     9605     9606     9607     9608 
## 24.58983 25.59955 24.87031 25.59955 24.81421 25.26297 24.92640 25.31907 
##     9609     9610     9611     9612     9613     9614     9615     9616 
## 24.53373 25.48736 25.76783 25.48736 24.75812 25.15078 25.54345 24.92640 
##     9617     9618     9619     9620     9621     9622     9623     9624 
## 25.65564 25.37517 25.37517 24.75812 25.26297 24.75812 25.48736 25.31907 
##     9625     9626     9627     9628     9629     9630     9631     9632 
## 25.09469 25.09469 25.43126 26.10441 25.37517 24.87031 25.03859 25.03859 
##     9633     9634     9635     9636     9637     9638     9639     9640 
## 25.31907 25.20688 25.15078 25.99221 25.76783 25.65564 24.92640 25.48736 
##     9641     9642     9643     9644     9645     9646     9647     9648 
## 25.20688 25.65564 24.53373 25.59955 25.54345 25.99221 25.37517 24.92640 
##     9649     9650     9651     9652     9653     9654     9655     9656 
## 25.26297 24.53373 25.48736 25.37517 25.48736 25.20688 25.09469 25.26297 
##     9657     9658     9659     9660     9661     9662     9663     9664 
## 25.43126 25.99221 25.54345 25.76783 25.26297 25.20688 25.20688 24.98250 
##     9665     9666     9667     9668     9669     9670     9671     9672 
## 25.59955 24.81421 25.31907 25.15078 24.98250 25.31907 25.43126 24.70202 
##     9673     9674     9675     9676     9677     9678     9679     9680 
## 24.87031 25.03859 25.31907 25.71174 25.65564 25.26297 25.26297 24.58983 
##     9681     9682     9683     9684     9685     9686     9687     9688 
## 24.58983 24.92640 25.43126 25.15078 25.43126 24.98250 25.20688 24.92640 
##     9689     9690     9691     9692     9693     9694     9695     9696 
## 25.20688 25.37517 24.92640 25.26297 25.09469 25.26297 25.37517 26.10441 
##     9697     9698     9699     9700     9701     9702     9703     9704 
## 24.87031 24.87031 25.26297 25.09469 25.15078 25.37517 25.65564 24.87031 
##     9705     9706     9707     9708     9709     9710     9711     9712 
## 26.10441 25.65564 25.15078 25.48736 25.43126 25.43126 25.09469 25.31907 
##     9713     9714     9715     9716     9717     9718     9719     9720 
## 25.26297 25.37517 25.15078 25.82393 25.54345 25.31907 25.20688 24.81421 
##     9721     9722     9723     9724     9725     9726     9727     9728 
## 24.58983 25.59955 25.59955 25.09469 25.03859 24.87031 25.15078 25.37517 
##     9729     9730     9731     9732     9733     9734     9735     9736 
## 25.15078 25.20688 24.98250 25.48736 25.09469 25.09469 25.65564 25.03859 
##     9737     9738     9739     9740     9741     9742     9743     9744 
## 25.15078 25.37517 25.43126 25.82393 24.58983 24.92640 25.43126 25.37517 
##     9745     9746     9747     9748     9749     9750     9751     9752 
## 24.92640 25.76783 25.03859 25.03859 24.75812 25.03859 25.15078 25.76783 
##     9753     9754     9755     9756     9757     9758     9759     9760 
## 24.87031 25.48736 24.98250 25.09469 25.09469 25.26297 25.09469 25.48736 
##     9761     9762     9763     9764     9765     9766     9767     9768 
## 25.31907 25.59955 25.54345 25.43126 25.20688 24.92640 25.43126 25.37517 
##     9769     9770     9771     9772     9773     9774     9775     9776 
## 26.10441 25.71174 25.59955 24.70202 24.64593 25.03859 25.26297 25.37517 
##     9777     9778     9779     9780     9781     9782     9783     9784 
## 25.37517 25.37517 25.37517 25.09469 25.93612 25.15078 24.25326 25.37517 
##     9785     9786     9787     9788     9789     9790     9791     9792 
## 24.92640 25.09469 25.31907 24.64593 24.64593 25.48736 25.54345 25.31907 
##     9793     9794     9795     9796     9797     9798     9799     9800 
## 24.47764 24.92640 25.54345 25.43126 25.26297 25.76783 25.43126 25.37517 
##     9801     9802     9803     9804     9805     9806     9807     9808 
## 25.65564 25.20688 25.20688 24.53373 25.99221 25.26297 25.37517 24.87031 
##     9809     9810     9811     9812     9813     9814     9815     9816 
## 25.48736 25.54345 24.75812 24.98250 24.81421 25.71174 25.48736 25.15078 
##     9817     9818     9819     9820     9821     9822     9823     9824 
## 24.58983 25.65564 25.54345 25.82393 25.20688 25.37517 25.93612 25.37517 
##     9825     9826     9827     9828     9829     9830     9831     9832 
## 24.75812 25.09469 25.15078 25.09469 24.92640 25.65564 25.48736 25.59955 
##     9833     9834     9835     9836     9837     9838     9839     9840 
## 25.03859 25.37517 25.20688 25.15078 25.54345 25.09469 24.75812 24.98250 
##     9841     9842     9843     9844     9845     9846     9847     9848 
## 25.03859 24.81421 24.92640 25.48736 25.09469 24.87031 25.54345 24.53373 
##     9849     9850     9851     9852     9853     9854     9855     9856 
## 25.26297 24.58983 25.26297 25.48736 24.64593 25.37517 25.54345 24.64593 
##     9857     9858     9859     9860     9861     9862     9863     9864 
## 25.26297 25.03859 25.20688 24.81421 24.81421 25.09469 25.09469 25.20688 
##     9865     9866     9867     9868     9869     9870     9871     9872 
## 25.03859 24.75812 24.53373 25.31907 25.09469 25.15078 25.31907 25.54345 
##     9873     9874     9875     9876     9877     9878     9879     9880 
## 25.09469 24.64593 24.81421 25.43126 25.65564 25.82393 25.59955 25.88002 
##     9881     9882     9883     9884     9885     9886     9887     9888 
## 25.54345 24.75812 25.65564 25.48736 25.54345 24.81421 25.03859 24.87031 
##     9889     9890     9891     9892     9893     9894     9895     9896 
## 24.42154 25.26297 24.98250 24.92640 24.92640 24.70202 25.54345 25.88002 
##     9897     9898     9899     9900     9901     9902     9903     9904 
## 25.09469 24.98250 24.53373 25.59955 25.48736 25.48736 25.31907 25.48736 
##     9905     9906     9907     9908     9909     9910     9911     9912 
## 24.64593 24.70202 25.03859 25.93612 25.54345 24.92640 25.71174 25.48736 
##     9913     9914     9915     9916     9917     9918     9919     9920 
## 25.09469 25.20688 25.26297 24.75812 25.54345 24.92640 25.48736 24.92640 
##     9921     9922     9923     9924     9925     9926     9927     9928 
## 25.76783 25.82393 25.15078 24.92640 25.31907 25.48736 25.82393 25.03859 
##     9929     9930     9931     9932     9933     9934     9935     9936 
## 25.26297 24.75812 24.87031 25.43126 25.31907 25.59955 25.03859 25.37517 
##     9937     9938     9939     9940     9941     9942     9943     9944 
## 24.75812 25.09469 25.03859 25.59955 25.54345 24.92640 24.53373 24.58983 
##     9945     9946     9947     9948     9949     9950     9951     9952 
## 25.43126 25.26297 25.37517 25.03859 25.59955 25.31907 24.98250 24.87031 
##     9953     9954     9955     9956     9957     9958     9959     9960 
## 25.37517 24.92640 25.43126 24.47764 24.75812 25.09469 25.76783 25.03859 
##     9961     9962     9963     9964     9965     9966     9967     9968 
## 25.26297 24.87031 25.26297 25.20688 25.54345 25.03859 25.20688 24.87031 
##     9969     9970     9971     9972     9973     9974     9975     9976 
## 25.54345 24.92640 25.71174 25.88002 25.93612 25.76783 25.59955 25.37517 
##     9977     9978     9979     9980     9981     9982     9983     9984 
## 25.59955 25.37517 25.20688 25.20688 25.20688 25.54345 24.81421 24.92640 
##     9985     9986     9987     9988     9989     9990     9991     9992 
## 24.30935 25.65564 25.82393 25.20688 25.26297 25.71174 25.37517 25.20688 
##     9993     9994     9995     9996     9997     9998     9999    10000 
## 25.54345 25.03859 25.15078 24.75812 25.76783 25.26297 25.71174 24.92640 
##    10001    10002    10003    10004    10005    10006    10007    10008 
## 24.81421 24.98250 24.70202 25.93612 24.81421 25.71174 25.71174 25.26297 
##    10009    10010    10011    10012    10013    10014    10015    10016 
## 25.59955 25.54345 24.47764 25.48736 25.48736 25.65564 25.82393 25.43126 
##    10017    10018    10019    10020    10021    10022    10023    10024 
## 25.37517 25.54345 25.20688 24.53373 25.54345 25.43126 25.31907 25.76783 
##    10025    10026    10027    10028    10029    10030    10031    10032 
## 25.31907 25.03859 24.98250 25.20688 25.65564 25.43126 24.70202 25.31907 
##    10033    10034    10035    10036    10037    10038    10039    10040 
## 25.54345 25.09469 25.54345 25.31907 25.20688 25.76783 25.20688 25.48736 
##    10041    10042    10043    10044    10045    10046    10047    10048 
## 25.65564 25.48736 25.65564 25.48736 25.93612 25.37517 25.54345 25.20688 
##    10049    10050    10051    10052    10053    10054    10055    10056 
## 25.15078 24.75812 25.59955 24.47764 25.82393 24.98250 25.48736 25.31907 
##    10057    10058    10059    10060    10061    10062    10063    10064 
## 25.37517 25.20688 24.36545 25.20688 24.92640 25.15078 25.59955 25.15078 
##    10065    10066    10067    10068    10069    10070    10071    10072 
## 25.03859 25.59955 24.30935 25.15078 25.48736 25.31907 25.31907 25.76783 
##    10073    10074    10075    10076    10077    10078    10079    10080 
## 24.53373 25.03859 25.54345 25.43126 25.59955 25.09469 24.58983 25.15078 
##    10081    10082    10083    10084    10085    10086    10087    10088 
## 24.92640 25.82393 25.48736 25.59955 25.20688 24.64593 24.64593 25.03859 
##    10089    10090    10091    10092    10093    10094    10095    10096 
## 24.98250 25.54345 24.36545 24.58983 25.76783 25.71174 25.43126 25.09469 
##    10097    10098    10099    10100    10101    10102    10103    10104 
## 24.81421 25.03859 25.37517 25.20688 25.03859 25.37517 25.15078 25.71174 
##    10105    10106    10107    10108    10109    10110    10111    10112 
## 24.64593 25.99221 25.20688 25.31907 24.92640 24.98250 25.54345 25.65564 
##    10113    10114    10115    10116    10117    10118    10119    10120 
## 25.15078 25.54345 24.36545 25.65564 25.59955 25.59955 24.98250 25.54345 
##    10121    10122    10123    10124    10125    10126    10127    10128 
## 24.92640 24.64593 25.37517 25.03859 25.82393 25.15078 24.98250 25.43126 
##    10129    10130    10131    10132    10133    10134    10135    10136 
## 25.20688 25.20688 25.48736 25.43126 25.15078 25.20688 25.48736 25.31907 
##    10137    10138    10139    10140    10141    10142    10143    10144 
## 25.31907 24.70202 26.04831 26.10441 25.09469 25.48736 25.82393 25.20688 
##    10145    10146    10147    10148    10149    10150    10151    10152 
## 25.09469 25.26297 25.43126 25.31907 25.15078 24.53373 25.54345 24.98250 
##    10153    10154    10155    10156    10157    10158    10159    10160 
## 25.65564 25.09469 25.54345 25.31907 25.20688 24.87031 24.70202 25.43126 
##    10161    10162    10163    10164    10165    10166    10167    10168 
## 25.82393 25.37517 25.09469 25.37517 25.54345 25.48736 25.31907 24.98250 
##    10169    10170    10171    10172    10173    10174    10175    10176 
## 24.47764 25.09469 25.48736 25.15078 25.54345 24.92640 24.81421 25.31907 
##    10177    10178    10179    10180    10181    10182    10183    10184 
## 25.37517 25.88002 25.65564 24.64593 25.20688 24.87031 25.99221 24.64593 
##    10185    10186    10187    10188    10189    10190    10191    10192 
## 25.15078 25.48736 25.48736 25.82393 25.54345 25.37517 24.58983 24.98250 
##    10193    10194    10195    10196    10197    10198    10199    10200 
## 25.31907 25.26297 25.09469 25.20688 25.88002 24.87031 24.92640 25.59955 
##    10201    10202    10203    10204    10205    10206    10207    10208 
## 25.37517 25.82393 25.09469 25.71174 25.76783 25.76783 25.59955 25.43126 
##    10209    10210    10211    10212    10213    10214    10215    10216 
## 25.65564 25.20688 25.37517 25.43126 25.15078 25.09469 25.20688 25.20688 
##    10217    10218    10219    10220    10221    10222    10223    10224 
## 25.31907 25.43126 25.09469 25.09469 25.59955 25.48736 25.03859 25.88002 
##    10225    10226    10227    10228    10229    10230    10231    10232 
## 25.88002 25.03859 25.48736 24.92640 24.64593 25.48736 25.93612 24.81421 
##    10233    10234    10235    10236    10237    10238    10239    10240 
## 25.31907 25.37517 25.09469 25.65564 25.71174 24.92640 25.15078 25.37517 
##    10241    10242    10243    10244    10245    10246    10247    10248 
## 25.31907 24.98250 25.26297 25.31907 25.93612 25.03859 26.04831 25.31907 
##    10249    10250    10251    10252    10253    10254    10255    10256 
## 25.15078 25.99221 25.48736 25.09469 24.98250 25.09469 25.59955 25.48736 
##    10257    10258    10259    10260    10261    10262    10263    10264 
## 25.37517 24.92640 25.09469 24.92640 25.48736 25.48736 25.43126 25.65564 
##    10265    10266    10267    10268    10269    10270    10271    10272 
## 24.70202 25.43126 25.15078 25.99221 25.48736 24.81421 25.71174 25.37517 
##    10273    10274    10275    10276    10277    10278    10279    10280 
## 25.15078 25.59955 25.54345 25.20688 25.09469 24.75812 24.75812 26.16050 
##    10281    10282    10283    10284    10285    10286    10287    10288 
## 24.75812 25.31907 24.87031 25.65564 25.48736 25.82393 25.15078 26.10441 
##    10289    10290    10291    10292    10293    10294    10295    10296 
## 25.76783 25.43126 25.48736 25.71174 25.20688 25.09469 25.31907 24.98250 
##    10297    10298    10299    10300    10301    10302    10303    10304 
## 25.09469 25.59955 25.15078 25.82393 25.37517 25.76783 25.20688 25.65564 
##    10305    10306    10307    10308    10309    10310    10311    10312 
## 24.81421 24.75812 25.48736 24.81421 25.37517 25.54345 25.82393 25.15078 
##    10313    10314    10315    10316    10317    10318    10319    10320 
## 25.09469 24.64593 25.37517 25.93612 24.58983 25.20688 24.53373 25.03859 
##    10321    10322    10323    10324    10325    10326    10327    10328 
## 25.31907 24.81421 25.09469 25.48736 25.15078 24.53373 25.37517 25.09469 
##    10329    10330    10331    10332    10333    10334    10335    10336 
## 24.75812 25.43126 25.48736 25.15078 25.93612 25.09469 25.09469 25.09469 
##    10337    10338    10339    10340    10341    10342    10343    10344 
## 25.03859 25.76783 25.03859 25.43126 24.98250 25.26297 24.64593 25.15078 
##    10345    10346    10347    10348    10349    10350    10351    10352 
## 24.87031 25.20688 24.92640 25.65564 25.37517 25.65564 26.04831 25.37517 
##    10353    10354    10355    10356    10357    10358    10359    10360 
## 25.48736 25.37517 25.31907 25.54345 25.93612 25.54345 25.37517 25.54345 
##    10361    10362    10363    10364    10365    10366    10367    10368 
## 25.03859 25.09469 25.65564 25.43126 24.87031 25.37517 24.92640 24.53373 
##    10369    10370    10371    10372    10373    10374    10375    10376 
## 24.70202 25.54345 25.82393 25.31907 25.59955 25.20688 24.87031 25.76783 
##    10377    10378    10379    10380    10381    10382    10383    10384 
## 25.48736 25.71174 25.43126 25.43126 24.98250 25.37517 24.70202 25.59955 
##    10385    10386    10387    10388    10389    10390    10391    10392 
## 24.98250 26.04831 24.87031 25.31907 25.09469 24.81421 25.31907 25.03859 
##    10393    10394    10395    10396    10397    10398    10399    10400 
## 25.54345 25.26297 25.54345 25.26297 24.98250 24.64593 24.92640 25.43126 
##    10401    10402    10403    10404    10405    10406    10407    10408 
## 25.48736 26.10441 25.54345 25.48736 25.37517 24.64593 25.20688 25.37517 
##    10409    10410    10411    10412    10413    10414    10415    10416 
## 25.15078 25.54345 25.03859 24.64593 25.65564 25.15078 25.43126 25.26297 
##    10417    10418    10419    10420    10421    10422    10423    10424 
## 25.48736 25.71174 25.03859 25.37517 25.37517 25.76783 25.88002 25.31907 
##    10425    10426    10427    10428    10429    10430    10431    10432 
## 25.54345 26.04831 25.37517 25.20688 25.71174 25.37517 25.76783 25.15078 
##    10433    10434    10435    10436    10437    10438    10439    10440 
## 25.82393 25.09469 24.81421 24.87031 25.37517 24.64593 25.43126 25.31907 
##    10441    10442    10443    10444    10445    10446    10447    10448 
## 25.59955 25.20688 25.54345 25.26297 25.65564 25.82393 25.59955 25.65564 
##    10449    10450    10451    10452    10453    10454    10455    10456 
## 25.43126 25.65564 25.65564 24.47764 25.15078 25.76783 25.43126 24.36545 
##    10457    10458    10459    10460    10461    10462    10463    10464 
## 25.71174 24.92640 25.37517 25.48736 24.87031 24.87031 25.09469 25.15078 
##    10465    10466    10467    10468    10469    10470    10471    10472 
## 25.09469 24.92640 24.70202 25.26297 24.75812 25.54345 25.31907 25.82393 
##    10473    10474    10475    10476    10477    10478    10479    10480 
## 25.65564 25.82393 25.37517 24.53373 25.48736 25.59955 25.43126 25.65564 
##    10481    10482    10483    10484    10485    10486    10487    10488 
## 26.10441 25.26297 24.87031 25.26297 25.03859 25.37517 25.54345 25.48736 
##    10489    10490    10491    10492    10493    10494    10495    10496 
## 24.53373 24.92640 25.09469 25.03859 24.81421 24.64593 25.26297 25.59955 
##    10497    10498    10499    10500    10501    10502    10503    10504 
## 25.26297 25.54345 25.09469 26.10441 24.70202 24.92640 24.87031 25.37517 
##    10505    10506    10507    10508    10509    10510    10511    10512 
## 25.48736 25.37517 24.81421 24.64593 25.37517 24.81421 25.48736 25.48736 
##    10513    10514    10515    10516    10517    10518    10519    10520 
## 25.03859 25.82393 25.09469 25.26297 25.71174 25.59955 26.21660 25.65564 
##    10521    10522    10523    10524    10525    10526    10527    10528 
## 25.20688 25.20688 25.26297 25.20688 25.03859 25.37517 25.54345 24.87031 
##    10529    10530    10531    10532    10533    10534    10535    10536 
## 24.87031 25.03859 25.09469 25.31907 26.04831 25.31907 25.03859 24.75812 
##    10537    10538    10539    10540    10541    10542    10543    10544 
## 25.48736 25.48736 25.93612 25.43126 25.65564 25.26297 25.15078 25.43126 
##    10545    10546    10547    10548    10549    10550    10551    10552 
## 25.09469 25.76783 25.48736 25.37517 25.37517 25.65564 25.15078 25.65564 
##    10553    10554    10555    10556    10557    10558    10559    10560 
## 24.70202 25.37517 25.82393 25.88002 24.64593 25.65564 25.48736 25.20688 
##    10561    10562    10563    10564    10565    10566    10567    10568 
## 25.76783 25.59955 24.81421 25.71174 25.37517 25.20688 25.31907 24.75812 
##    10569    10570    10571    10572    10573    10574    10575    10576 
## 24.92640 25.09469 25.20688 25.76783 25.59955 25.48736 25.59955 25.54345 
##    10577    10578    10579    10580    10581    10582    10583    10584 
## 25.09469 25.82393 24.87031 24.87031 25.26297 25.65564 25.20688 24.98250 
##    10585    10586    10587    10588    10589    10590    10591    10592 
## 24.92640 25.71174 25.09469 26.10441 24.36545 25.76783 25.43126 26.27269 
##    10593    10594    10595    10596    10597    10598    10599    10600 
## 25.76783 24.58983 25.43126 25.31907 25.54345 25.76783 24.92640 25.82393 
##    10601    10602    10603    10604    10605    10606    10607    10608 
## 25.09469 25.48736 25.82393 25.48736 25.59955 25.71174 25.54345 25.82393 
##    10609    10610    10611    10612    10613    10614    10615    10616 
## 25.37517 25.48736 25.76783 25.82393 25.65564 25.20688 24.53373 25.37517 
##    10617    10618    10619    10620    10621    10622    10623    10624 
## 25.20688 24.81421 25.48736 26.04831 25.37517 25.31907 25.48736 25.15078 
##    10625    10626    10627    10628    10629    10630    10631    10632 
## 25.15078 25.65564 26.04831 25.09469 25.59955 25.59955 25.82393 24.87031 
##    10633    10634    10635    10636    10637    10638    10639    10640 
## 25.20688 25.09469 25.65564 25.59955 25.76783 25.26297 25.09469 25.48736 
##    10641    10642    10643    10644    10645    10646    10647    10648 
## 25.93612 24.98250 25.71174 24.92640 25.20688 25.43126 25.37517 24.92640 
##    10649    10650    10651    10652    10653    10654    10655    10656 
## 24.92640 25.20688 25.76783 24.87031 25.54345 25.20688 25.59955 25.93612 
##    10657    10658    10659    10660    10661    10662    10663    10664 
## 25.09469 25.09469 24.64593 24.75812 25.54345 24.25326 25.31907 25.71174 
##    10665    10666    10667    10668    10669    10670    10671    10672 
## 25.59955 25.99221 25.65564 25.76783 25.20688 26.04831 25.37517 25.88002 
##    10673    10674    10675    10676    10677    10678    10679    10680 
## 25.76783 25.65564 24.98250 25.37517 25.09469 24.98250 25.71174 24.81421 
##    10681    10682    10683    10684    10685    10686    10687    10688 
## 24.81421 24.98250 25.20688 25.65564 25.54345 25.48736 24.92640 25.48736 
##    10689    10690    10691    10692    10693    10694    10695    10696 
## 25.65564 25.15078 25.43126 25.82393 25.20688 25.09469 25.09469 25.31907 
##    10697    10698    10699    10700    10701    10702    10703    10704 
## 25.31907 24.81421 25.37517 25.43126 25.37517 26.10441 25.43126 25.26297 
##    10705    10706    10707    10708    10709    10710    10711    10712 
## 25.20688 25.59955 25.37517 25.59955 25.20688 25.59955 25.09469 24.25326 
##    10713    10714    10715    10716    10717    10718    10719    10720 
## 25.54345 25.31907 25.20688 25.59955 25.20688 25.48736 25.48736 24.92640 
##    10721    10722    10723    10724    10725    10726    10727    10728 
## 25.09469 24.81421 25.65564 25.76783 24.64593 25.20688 25.37517 25.26297 
##    10729    10730    10731    10732    10733    10734    10735    10736 
## 24.87031 24.64593 25.48736 24.98250 25.93612 25.15078 25.76783 25.09469 
##    10737    10738    10739    10740    10741    10742    10743    10744 
## 24.75812 25.76783 25.31907 25.76783 24.98250 25.20688 24.64593 24.53373 
##    10745    10746    10747    10748    10749    10750    10751    10752 
## 25.03859 25.20688 25.82393 25.43126 25.43126 25.48736 25.65564 25.59955 
##    10753    10754    10755    10756    10757    10758    10759    10760 
## 25.82393 25.65564 25.54345 25.03859 25.99221 25.31907 25.88002 25.20688 
##    10761    10762    10763    10764    10765    10766    10767    10768 
## 25.99221 25.03859 25.71174 25.48736 24.92640 24.92640 25.31907 25.65564 
##    10769    10770    10771    10772    10773    10774    10775    10776 
## 25.03859 25.09469 24.75812 25.65564 25.82393 24.92640 25.26297 25.20688 
##    10777    10778    10779    10780    10781    10782    10783    10784 
## 25.37517 25.59955 24.81421 24.42154 24.92640 25.09469 25.48736 25.43126 
##    10785    10786    10787    10788    10789    10790    10791    10792 
## 24.92640 25.76783 25.26297 25.48736 25.43126 25.37517 24.92640 24.98250 
##    10793    10794    10795    10796    10797    10798    10799    10800 
## 24.64593 25.82393 24.81421 24.81421 25.26297 25.65564 25.48736 25.48736 
##    10801    10802    10803    10804    10805    10806    10807    10808 
## 25.37517 25.20688 24.92640 24.92640 25.43126 25.37517 25.37517 26.04831 
##    10809    10810    10811    10812    10813    10814    10815    10816 
## 25.09469 25.26297 25.37517 25.03859 25.93612 25.37517 24.36545 25.03859 
##    10817    10818    10819    10820    10821    10822    10823    10824 
## 25.76783 25.88002 25.20688 25.37517 25.09469 25.65564 25.09469 25.09469 
##    10825    10826    10827    10828    10829    10830    10831    10832 
## 25.20688 25.03859 25.20688 25.15078 25.48736 25.09469 25.82393 25.65564 
##    10833    10834    10835    10836    10837    10838    10839    10840 
## 25.76783 25.65564 25.15078 25.15078 25.43126 25.03859 25.82393 25.09469 
##    10841    10842    10843    10844    10845    10846    10847    10848 
## 25.43126 24.64593 25.88002 25.15078 25.03859 24.92640 25.37517 25.48736 
##    10849    10850    10851    10852    10853    10854    10855    10856 
## 25.37517 25.26297 25.31907 25.20688 25.37517 25.20688 24.64593 25.76783 
##    10857    10858    10859    10860    10861    10862    10863    10864 
## 25.26297 25.37517 24.92640 25.31907 25.15078 25.37517 25.71174 25.43126 
##    10865    10866    10867    10868    10869    10870    10871    10872 
## 25.65564 24.92640 25.59955 25.09469 25.37517 25.37517 25.65564 25.43126 
##    10873    10874    10875    10876    10877    10878    10879    10880 
## 24.75812 25.76783 25.03859 25.15078 25.31907 25.48736 24.58983 24.58983 
##    10881    10882    10883    10884    10885    10886    10887    10888 
## 25.03859 25.26297 25.65564 24.75812 24.92640 25.65564 25.20688 25.15078 
##    10889    10890    10891    10892    10893    10894    10895    10896 
## 25.88002 25.09469 25.09469 25.65564 25.26297 25.54345 25.20688 24.64593 
##    10897    10898    10899    10900    10901    10902    10903    10904 
## 25.43126 25.20688 25.88002 24.98250 25.48736 24.64593 25.59955 25.65564 
##    10905    10906    10907    10908    10909    10910    10911    10912 
## 24.92640 24.87031 24.92640 24.92640 24.92640 25.76783 24.98250 24.87031 
##    10913    10914    10915    10916    10917    10918    10919    10920 
## 25.59955 24.92640 24.87031 25.37517 25.43126 24.36545 24.75812 25.59955 
##    10921    10922    10923    10924    10925    10926    10927    10928 
## 24.87031 25.65564 25.15078 24.81421 24.98250 25.15078 24.92640 25.88002 
##    10929    10930    10931    10932    10933    10934    10935    10936 
## 25.82393 25.37517 25.48736 24.92640 25.09469 25.48736 25.03859 25.59955 
##    10937    10938    10939    10940    10941    10942    10943    10944 
## 25.20688 25.20688 25.31907 25.26297 24.81421 24.98250 25.65564 25.37517 
##    10945    10946    10947    10948    10949    10950    10951    10952 
## 24.98250 24.87031 25.65564 25.37517 25.20688 24.81421 24.75812 25.65564 
##    10953    10954    10955    10956    10957    10958    10959    10960 
## 25.26297 24.64593 25.54345 25.65564 25.65564 25.59955 25.37517 25.26297 
##    10961    10962    10963    10964    10965    10966    10967    10968 
## 25.48736 24.75812 25.31907 24.92640 25.54345 25.31907 25.37517 25.48736 
##    10969    10970    10971    10972    10973    10974    10975    10976 
## 24.81421 25.65564 25.20688 25.09469 24.36545 25.20688 25.48736 24.87031 
##    10977    10978    10979    10980    10981    10982    10983    10984 
## 24.87031 25.65564 25.48736 25.59955 25.09469 25.26297 25.82393 25.20688 
##    10985    10986    10987    10988    10989    10990    10991    10992 
## 24.42154 24.81421 25.15078 25.93612 25.26297 25.15078 25.26297 25.59955 
##    10993    10994    10995    10996    10997    10998    10999    11000 
## 25.20688 25.93612 25.31907 24.75812 25.09469 25.20688 24.87031 25.48736 
##    11001    11002    11003    11004    11005    11006    11007    11008 
## 24.81421 25.43126 24.92640 25.09469 25.59955 25.37517 24.92640 25.31907 
##    11009    11010    11011    11012    11013    11014    11015    11016 
## 25.59955 24.75812 25.82393 25.48736 25.31907 25.43126 25.37517 24.92640 
##    11017    11018    11019    11020    11021    11022    11023    11024 
## 25.76783 24.75812 25.26297 25.82393 24.92640 25.37517 25.20688 25.48736 
##    11025    11026    11027    11028    11029    11030    11031    11032 
## 25.09469 24.42154 24.98250 25.37517 24.98250 25.15078 24.92640 25.09469 
##    11033    11034    11035    11036    11037    11038    11039    11040 
## 25.76783 25.15078 25.43126 24.92640 24.81421 25.03859 25.76783 24.81421 
##    11041    11042    11043    11044    11045    11046    11047    11048 
## 25.31907 25.20688 25.43126 25.43126 24.81421 25.37517 25.37517 24.98250 
##    11049    11050    11051    11052    11053    11054    11055    11056 
## 25.59955 25.59955 25.15078 25.26297 25.03859 24.75812 24.70202 24.81421 
##    11057    11058    11059    11060    11061    11062    11063    11064 
## 25.54345 25.15078 25.65564 25.71174 25.26297 25.09469 24.92640 25.76783 
##    11065    11066    11067    11068    11069    11070    11071    11072 
## 24.64593 25.03859 25.54345 24.92640 25.54345 25.37517 24.75812 25.65564 
##    11073    11074    11075    11076    11077    11078    11079    11080 
## 24.98250 24.98250 24.64593 25.20688 25.43126 25.31907 25.76783 25.03859 
##    11081    11082    11083    11084    11085    11086    11087    11088 
## 25.76783 25.48736 25.59955 25.03859 25.20688 25.82393 25.65564 24.81421 
##    11089    11090    11091    11092    11093    11094    11095    11096 
## 25.65564 25.20688 24.81421 25.37517 24.64593 24.47764 25.20688 25.65564 
##    11097    11098    11099    11100    11101    11102    11103    11104 
## 25.31907 25.09469 25.20688 25.48736 25.20688 25.65564 24.81421 25.37517 
##    11105    11106    11107    11108    11109    11110    11111    11112 
## 25.43126 25.20688 25.15078 25.37517 25.15078 25.09469 25.99221 25.09469 
##    11113    11114    11115    11116    11117    11118    11119    11120 
## 25.54345 25.09469 25.15078 25.82393 25.48736 25.71174 25.54345 25.31907 
##    11121    11122    11123    11124    11125    11126    11127    11128 
## 25.20688 24.53373 25.54345 25.48736 25.26297 25.20688 25.48736 24.92640 
##    11129    11130    11131    11132    11133    11134    11135    11136 
## 25.20688 24.98250 25.26297 25.09469 25.26297 25.65564 25.48736 25.20688 
##    11137    11138    11139    11140    11141    11142    11143    11144 
## 25.09469 24.87031 25.37517 25.43126 25.20688 25.43126 25.88002 24.53373 
##    11145    11146    11147    11148    11149    11150    11151    11152 
## 24.92640 25.71174 26.04831 26.16050 25.54345 25.20688 24.75812 25.43126 
##    11153    11154    11155    11156    11157    11158    11159    11160 
## 25.03859 25.37517 25.20688 24.25326 25.09469 25.43126 25.31907 25.37517 
##    11161    11162    11163    11164    11165    11166    11167    11168 
## 25.43126 25.15078 25.26297 24.70202 24.42154 25.20688 24.87031 24.75812 
##    11169    11170    11171    11172    11173    11174    11175    11176 
## 25.54345 24.64593 25.26297 25.82393 24.47764 26.04831 25.99221 25.37517 
##    11177    11178    11179    11180    11181    11182    11183    11184 
## 25.20688 24.81421 25.03859 25.43126 24.70202 25.65564 25.31907 25.65564 
##    11185    11186    11187    11188    11189    11190    11191    11192 
## 24.81421 25.03859 25.09469 25.71174 25.71174 25.20688 25.99221 25.76783 
##    11193    11194    11195    11196    11197    11198    11199    11200 
## 24.92640 25.20688 25.31907 25.59955 25.43126 24.47764 25.20688 25.71174 
##    11201    11202    11203    11204    11205    11206    11207    11208 
## 25.48736 25.31907 24.98250 24.92640 24.87031 25.20688 24.70202 25.59955 
##    11209    11210    11211    11212    11213    11214    11215    11216 
## 24.92640 25.59955 25.65564 25.54345 25.54345 25.31907 25.20688 24.87031 
##    11217    11218    11219    11220    11221    11222    11223    11224 
## 24.92640 25.43126 25.93612 25.09469 25.65564 25.48736 25.76783 24.81421 
##    11225    11226    11227    11228    11229    11230    11231    11232 
## 24.53373 25.48736 26.04831 24.98250 24.81421 25.48736 25.09469 25.09469 
##    11233    11234    11235    11236    11237    11238    11239    11240 
## 25.31907 25.37517 25.09469 26.10441 24.98250 25.59955 25.03859 25.65564 
##    11241    11242    11243    11244    11245    11246    11247    11248 
## 25.37517 24.98250 25.37517 25.48736 25.20688 25.82393 25.31907 25.37517 
##    11249    11250    11251    11252    11253    11254    11255    11256 
## 24.92640 25.82393 24.92640 25.82393 25.03859 24.75812 25.48736 25.03859 
##    11257    11258    11259    11260    11261    11262    11263    11264 
## 25.76783 25.82393 25.31907 25.15078 25.20688 25.48736 25.15078 25.26297 
##    11265    11266    11267    11268    11269    11270    11271    11272 
## 24.36545 25.37517 24.64593 25.20688 25.71174 25.09469 25.43126 25.03859 
##    11273    11274    11275    11276    11277    11278    11279    11280 
## 24.64593 24.98250 25.20688 24.81421 24.81421 24.70202 24.64593 25.31907 
##    11281    11282    11283    11284    11285    11286    11287    11288 
## 25.54345 24.87031 25.31907 24.81421 25.65564 25.09469 25.65564 25.88002 
##    11289    11290    11291    11292    11293    11294    11295    11296 
## 25.93612 25.43126 25.76783 25.48736 25.76783 25.20688 25.31907 25.31907 
##    11297    11298    11299    11300    11301    11302    11303    11304 
## 24.75812 25.09469 25.15078 25.54345 25.71174 25.09469 25.43126 25.03859 
##    11305    11306    11307    11308    11309    11310    11311    11312 
## 25.99221 24.64593 25.26297 25.43126 25.09469 25.65564 25.31907 25.20688 
##    11313    11314    11315    11316    11317    11318    11319    11320 
## 25.03859 25.20688 25.09469 25.03859 25.26297 24.81421 25.65564 24.98250 
##    11321    11322    11323    11324    11325    11326    11327    11328 
## 24.87031 25.20688 25.43126 25.48736 25.20688 25.76783 25.15078 24.64593 
##    11329    11330    11331    11332    11333    11334    11335    11336 
## 24.53373 25.65564 25.20688 25.09469 25.37517 25.48736 25.31907 25.15078 
##    11337    11338    11339    11340    11341    11342    11343    11344 
## 25.93612 25.48736 25.37517 25.37517 25.93612 25.43126 25.65564 24.87031 
##    11345    11346    11347    11348    11349    11350    11351    11352 
## 24.98250 25.43126 25.59955 25.03859 25.59955 25.09469 25.20688 25.76783 
##    11353    11354    11355    11356    11357    11358    11359    11360 
## 25.82393 25.99221 25.48736 25.76783 24.75812 24.81421 25.09469 24.92640 
##    11361    11362    11363    11364    11365    11366    11367    11368 
## 25.26297 25.43126 25.43126 25.31907 25.43126 24.75812 25.54345 26.21660 
##    11369    11370    11371    11372    11373    11374    11375    11376 
## 25.48736 25.76783 25.76783 24.98250 25.31907 25.88002 25.71174 24.64593 
##    11377    11378    11379    11380    11381    11382    11383    11384 
## 25.48736 25.48736 25.54345 25.20688 24.42154 25.20688 24.87031 25.09469 
##    11385    11386    11387    11388    11389    11390    11391    11392 
## 25.37517 24.75812 25.03859 26.04831 25.71174 24.92640 25.09469 24.98250 
##    11393    11394    11395    11396    11397    11398    11399    11400 
## 25.71174 25.93612 24.98250 25.93612 25.03859 25.48736 24.87031 25.76783 
##    11401    11402    11403    11404    11405    11406    11407    11408 
## 25.59955 25.37517 25.20688 24.92640 25.65564 25.65564 25.59955 25.09469 
##    11409    11410    11411    11412    11413    11414    11415    11416 
## 24.75812 25.37517 25.20688 25.71174 24.81421 24.92640 25.65564 25.76783 
##    11417    11418    11419    11420    11421    11422    11423    11424 
## 25.37517 25.76783 25.82393 24.64593 25.48736 25.31907 25.20688 24.75812 
##    11425    11426    11427    11428    11429    11430    11431    11432 
## 25.43126 25.20688 25.88002 25.37517 25.20688 25.54345 25.76783 25.54345 
##    11433    11434    11435    11436    11437    11438    11439    11440 
## 25.09469 25.76783 25.09469 25.09469 25.76783 24.98250 25.48736 24.87031 
##    11441    11442    11443    11444    11445    11446    11447    11448 
## 25.37517 25.20688 25.82393 25.82393 24.87031 25.31907 25.03859 24.81421 
##    11449    11450    11451    11452    11453    11454    11455    11456 
## 25.71174 25.31907 25.93612 25.20688 25.15078 25.20688 25.48736 25.65564 
##    11457    11458    11459    11460    11461    11462    11463    11464 
## 25.65564 25.76783 24.92640 25.15078 25.82393 25.65564 25.76783 24.75812 
##    11465    11466    11467    11468    11469    11470    11471    11472 
## 25.20688 25.59955 26.10441 24.58983 25.20688 25.54345 25.65564 25.71174 
##    11473    11474    11475    11476    11477    11478    11479    11480 
## 25.20688 25.37517 25.48736 25.65564 25.93612 25.20688 25.93612 25.37517 
##    11481    11482    11483    11484    11485    11486    11487    11488 
## 24.98250 25.54345 24.98250 25.48736 24.19716 25.20688 25.26297 24.64593 
##    11489    11490    11491    11492    11493    11494    11495    11496 
## 25.76783 25.03859 25.20688 24.98250 25.09469 25.48736 24.92640 25.15078 
##    11497    11498    11499    11500    11501    11502    11503    11504 
## 25.93612 25.20688 25.54345 24.92640 25.43126 25.99221 25.93612 25.09469 
##    11505    11506    11507    11508    11509    11510    11511    11512 
## 25.48736 25.20688 25.26297 24.92640 25.93612 25.15078 25.26297 25.48736 
##    11513    11514    11515    11516    11517    11518    11519    11520 
## 25.26297 26.04831 25.54345 25.31907 24.98250 24.58983 25.43126 24.75812 
##    11521    11522    11523    11524    11525    11526    11527    11528 
## 25.65564 25.99221 25.65564 25.37517 25.09469 25.37517 26.27269 24.64593 
##    11529    11530    11531    11532    11533    11534    11535    11536 
## 25.54345 25.09469 25.20688 24.98250 25.43126 25.65564 25.93612 25.43126 
##    11537    11538    11539    11540    11541    11542    11543    11544 
## 25.48736 25.20688 25.20688 25.31907 25.09469 25.65564 25.71174 25.48736 
##    11545    11546    11547    11548    11549    11550    11551    11552 
## 25.20688 25.09469 25.15078 25.03859 25.48736 25.20688 25.71174 24.64593 
##    11553    11554    11555    11556    11557    11558    11559    11560 
## 24.98250 25.59955 25.59955 25.37517 25.15078 25.15078 25.26297 24.75812 
##    11561    11562    11563    11564    11565    11566    11567    11568 
## 25.54345 26.38488 24.75812 25.54345 25.03859 24.98250 25.03859 25.93612 
##    11569    11570    11571    11572    11573    11574    11575    11576 
## 25.03859 25.71174 24.75812 24.98250 25.09469 24.70202 25.26297 25.31907 
##    11577    11578    11579    11580    11581    11582    11583    11584 
## 25.65564 24.92640 25.43126 25.59955 25.03859 25.09469 25.76783 24.98250 
##    11585    11586    11587    11588    11589    11590    11591    11592 
## 24.98250 25.15078 24.81421 25.37517 25.03859 25.54345 25.59955 26.16050 
##    11593    11594    11595    11596    11597    11598    11599    11600 
## 24.98250 24.70202 25.09469 25.09469 24.53373 25.54345 24.75812 25.65564 
##    11601    11602    11603    11604    11605    11606    11607    11608 
## 25.65564 25.48736 25.48736 25.54345 25.03859 25.76783 25.54345 25.48736 
##    11609    11610    11611    11612    11613    11614    11615    11616 
## 25.71174 25.03859 25.26297 25.43126 24.30935 25.43126 25.20688 25.37517 
##    11617    11618    11619    11620    11621    11622    11623    11624 
## 25.76783 25.20688 25.48736 25.76783 26.21660 25.82393 25.09469 25.37517 
##    11625    11626    11627    11628    11629    11630    11631    11632 
## 25.20688 25.76783 25.31907 24.70202 25.43126 25.09469 25.15078 25.82393 
##    11633    11634    11635    11636    11637    11638    11639    11640 
## 25.54345 25.54345 24.92640 25.48736 25.20688 25.15078 25.09469 25.26297 
##    11641    11642    11643    11644    11645    11646    11647    11648 
## 25.37517 24.75812 25.99221 25.71174 24.87031 24.98250 25.43126 25.37517 
##    11649    11650    11651    11652    11653    11654    11655    11656 
## 25.37517 25.54345 25.09469 25.48736 25.48736 25.31907 24.98250 25.15078 
##    11657    11658    11659    11660    11661    11662    11663    11664 
## 25.65564 25.03859 25.09469 25.20688 25.20688 24.87031 25.54345 25.03859 
##    11665    11666    11667    11668    11669    11670    11671    11672 
## 24.92640 25.76783 24.75812 24.64593 26.16050 24.64593 24.75812 24.92640 
##    11673    11674    11675    11676    11677    11678    11679    11680 
## 25.20688 25.71174 25.31907 25.26297 25.09469 24.58983 25.71174 25.99221 
##    11681    11682    11683    11684    11685    11686    11687    11688 
## 25.09469 25.82393 25.71174 24.92640 25.88002 24.81421 25.93612 25.48736 
##    11689    11690    11691    11692    11693    11694    11695    11696 
## 24.87031 25.09469 25.71174 25.37517 24.92640 25.20688 25.43126 25.76783 
##    11697    11698    11699    11700    11701    11702    11703    11704 
## 25.09469 25.71174 25.20688 25.26297 25.54345 25.59955 24.92640 25.54345 
##    11705    11706    11707    11708    11709    11710    11711    11712 
## 24.64593 25.37517 25.26297 25.26297 25.48736 25.20688 25.20688 25.20688 
##    11713    11714    11715    11716    11717    11718    11719    11720 
## 25.82393 24.98250 25.54345 25.71174 25.88002 25.31907 25.37517 24.70202 
##    11721    11722    11723    11724    11725    11726    11727    11728 
## 24.98250 25.09469 25.71174 24.64593 25.20688 25.26297 25.15078 25.20688 
##    11729    11730    11731    11732    11733    11734    11735    11736 
## 25.71174 25.03859 25.65564 25.59955 25.65564 25.09469 25.54345 25.37517 
##    11737    11738    11739    11740    11741    11742    11743    11744 
## 24.70202 24.87031 24.87031 25.43126 24.81421 25.82393 25.59955 25.82393 
##    11745    11746    11747    11748    11749    11750    11751    11752 
## 25.71174 25.37517 25.43126 25.43126 25.43126 25.20688 25.15078 25.71174 
##    11753    11754    11755    11756    11757    11758    11759    11760 
## 25.48736 24.75812 25.76783 25.09469 25.48736 25.93612 25.93612 24.25326 
##    11761    11762    11763    11764    11765    11766    11767    11768 
## 24.87031 25.48736 25.59955 26.10441 25.20688 25.54345 25.09469 25.20688 
##    11769    11770    11771    11772    11773    11774    11775    11776 
## 24.87031 24.75812 25.03859 25.37517 25.71174 25.48736 25.37517 24.98250 
##    11777    11778    11779    11780    11781    11782    11783    11784 
## 25.03859 25.37517 24.64593 26.27269 25.43126 25.37517 25.82393 24.70202 
##    11785    11786    11787    11788    11789    11790    11791    11792 
## 24.87031 25.43126 25.26297 24.92640 24.70202 24.64593 25.76783 25.59955 
##    11793    11794    11795    11796    11797    11798    11799    11800 
## 24.98250 25.48736 25.43126 25.03859 25.20688 25.31907 25.43126 24.64593 
##    11801    11802    11803    11804    11805    11806    11807    11808 
## 24.81421 24.92640 24.58983 25.54345 24.98250 25.48736 24.87031 24.87031 
##    11809    11810    11811    11812    11813    11814    11815    11816 
## 25.03859 24.64593 24.92640 25.15078 25.20688 25.65564 24.81421 25.59955 
##    11817    11818    11819    11820    11821    11822    11823    11824 
## 25.09469 25.03859 24.64593 25.37517 25.37517 25.37517 25.03859 24.92640 
##    11825    11826    11827    11828    11829    11830    11831    11832 
## 25.48736 25.65564 25.65564 25.09469 25.48736 24.98250 25.37517 25.20688 
##    11833    11834    11835    11836    11837    11838    11839    11840 
## 25.03859 25.48736 24.87031 25.43126 25.48736 24.87031 24.92640 25.93612 
##    11841    11842    11843    11844    11845    11846    11847    11848 
## 25.48736 25.93612 25.93612 24.36545 25.76783 25.09469 25.37517 25.37517 
##    11849    11850    11851    11852    11853    11854    11855    11856 
## 25.20688 25.37517 25.20688 25.48736 25.37517 25.65564 25.37517 25.31907 
##    11857    11858    11859    11860    11861    11862    11863    11864 
## 25.31907 25.65564 25.48736 26.16050 25.59955 25.20688 25.48736 24.64593 
##    11865    11866    11867    11868    11869    11870    11871    11872 
## 25.48736 25.37517 25.82393 25.31907 25.43126 25.48736 25.20688 25.48736 
##    11873    11874    11875    11876    11877    11878    11879    11880 
## 25.20688 25.03859 25.65564 25.43126 25.09469 25.20688 26.04831 25.26297 
##    11881    11882    11883    11884    11885    11886    11887    11888 
## 25.76783 24.81421 25.03859 25.65564 24.92640 25.88002 25.76783 25.65564 
##    11889    11890    11891    11892    11893    11894    11895    11896 
## 25.65564 25.65564 25.65564 25.48736 25.20688 25.37517 25.20688 24.92640 
##    11897    11898    11899    11900    11901    11902    11903    11904 
## 25.31907 24.98250 24.98250 25.20688 25.76783 25.03859 25.26297 24.64593 
##    11905    11906    11907    11908    11909    11910    11911    11912 
## 25.37517 25.03859 25.76783 25.26297 25.31907 25.48736 25.43126 25.65564 
##    11913    11914    11915    11916    11917    11918    11919    11920 
## 25.48736 25.09469 24.92640 25.09469 25.71174 25.26297 24.53373 25.09469 
##    11921    11922    11923    11924    11925    11926    11927    11928 
## 25.65564 25.37517 25.65564 25.43126 25.54345 25.20688 25.99221 25.20688 
##    11929    11930    11931    11932    11933    11934    11935    11936 
## 25.37517 25.37517 24.64593 25.26297 25.37517 24.64593 24.75812 25.54345 
##    11937    11938    11939    11940    11941    11942    11943    11944 
## 25.26297 25.20688 25.43126 24.64593 25.48736 25.20688 25.31907 24.92640 
##    11945    11946    11947    11948    11949    11950    11951    11952 
## 25.43126 25.88002 25.37517 25.48736 25.65564 25.26297 25.59955 25.37517 
##    11953    11954    11955    11956    11957    11958    11959    11960 
## 25.26297 25.54345 25.99221 25.20688 25.20688 24.75812 24.87031 24.81421 
##    11961    11962    11963    11964    11965    11966    11967    11968 
## 25.15078 24.75812 25.09469 25.43126 24.81421 26.10441 25.82393 25.59955 
##    11969    11970    11971    11972    11973    11974    11975    11976 
## 25.26297 25.65564 25.03859 24.64593 25.09469 25.09469 24.64593 25.65564 
##    11977    11978    11979    11980    11981    11982    11983    11984 
## 24.87031 24.92640 25.37517 25.09469 25.37517 24.81421 25.20688 25.48736 
##    11985    11986    11987    11988    11989    11990    11991    11992 
## 25.76783 25.93612 25.03859 25.20688 24.53373 24.98250 24.58983 24.64593 
##    11993    11994    11995    11996    11997    11998    11999    12000 
## 25.31907 25.09469 25.65564 24.98250 25.15078 25.59955 25.65564 24.70202 
##    12001    12002    12003    12004    12005    12006    12007    12008 
## 24.81421 25.09469 25.20688 24.87031 25.65564 25.71174 25.15078 25.76783 
##    12009    12010    12011    12012    12013    12014    12015    12016 
## 25.54345 25.99221 24.98250 24.92640 24.92640 25.37517 25.37517 25.31907 
##    12017    12018    12019    12020    12021    12022    12023    12024 
## 24.75812 24.98250 25.48736 25.65564 25.31907 25.09469 25.31907 24.87031 
##    12025    12026    12027    12028    12029    12030    12031    12032 
## 24.47764 25.31907 24.87031 25.31907 25.09469 25.09469 25.37517 24.75812 
##    12033    12034    12035    12036    12037    12038    12039    12040 
## 25.31907 25.88002 24.98250 25.09469 24.87031 24.98250 24.92640 25.37517 
##    12041    12042    12043    12044    12045    12046    12047    12048 
## 25.37517 25.03859 25.31907 24.87031 25.93612 24.70202 25.82393 24.87031 
##    12049    12050    12051    12052    12053    12054    12055    12056 
## 25.48736 24.75812 25.99221 25.20688 24.53373 25.03859 25.31907 25.09469 
##    12057    12058    12059    12060    12061    12062    12063    12064 
## 25.76783 24.87031 24.87031 24.81421 25.88002 25.20688 25.26297 24.53373 
##    12065    12066    12067    12068    12069    12070    12071    12072 
## 25.09469 25.59955 24.92640 25.26297 25.31907 24.81421 25.26297 25.09469 
##    12073    12074    12075    12076    12077    12078    12079    12080 
## 25.09469 25.37517 24.47764 25.20688 24.47764 25.09469 25.48736 25.59955 
##    12081    12082    12083    12084    12085    12086    12087    12088 
## 24.92640 25.20688 24.75812 25.54345 25.82393 24.98250 25.26297 25.59955 
##    12089    12090    12091    12092    12093    12094    12095    12096 
## 25.76783 25.59955 25.03859 25.59955 24.75812 25.03859 25.20688 25.09469 
##    12097    12098    12099    12100    12101    12102    12103    12104 
## 24.75812 24.64593 25.03859 25.37517 25.43126 25.37517 24.70202 25.20688 
##    12105    12106    12107    12108    12109    12110    12111    12112 
## 24.64593 25.71174 25.48736 25.37517 25.09469 24.92640 24.47764 25.48736 
##    12113    12114    12115    12116    12117    12118    12119    12120 
## 24.64593 25.20688 25.31907 25.20688 25.09469 25.03859 25.59955 24.75812 
##    12121    12122    12123    12124    12125    12126    12127    12128 
## 25.48736 25.31907 25.54345 25.48736 25.09469 25.65564 25.37517 25.09469 
##    12129    12130    12131    12132    12133    12134    12135    12136 
## 25.54345 25.15078 24.87031 24.70202 25.09469 24.87031 25.26297 24.81421 
##    12137    12138    12139    12140    12141    12142    12143    12144 
## 24.92640 25.37517 24.92640 25.65564 25.82393 24.98250 24.87031 24.36545 
##    12145    12146    12147    12148    12149    12150    12151    12152 
## 25.15078 25.37517 25.31907 25.48736 25.37517 25.31907 24.98250 25.20688 
##    12153    12154    12155    12156    12157    12158    12159    12160 
## 24.75812 25.48736 25.54345 26.04831 25.26297 25.65564 24.92640 25.48736 
##    12161    12162    12163    12164    12165    12166    12167    12168 
## 25.54345 25.26297 25.76783 25.09469 24.64593 25.59955 25.37517 25.37517 
##    12169    12170    12171    12172    12173    12174    12175    12176 
## 25.48736 25.15078 25.03859 25.20688 25.71174 25.54345 25.31907 25.65564 
##    12177    12178    12179    12180    12181    12182    12183    12184 
## 26.04831 25.26297 25.20688 25.09469 24.81421 25.20688 25.09469 24.87031 
##    12185    12186    12187    12188    12189    12190    12191    12192 
## 24.98250 25.31907 25.37517 24.87031 25.59955 25.09469 25.20688 25.03859 
##    12193    12194    12195    12196    12197    12198    12199    12200 
## 24.81421 25.09469 25.37517 25.99221 25.15078 25.20688 25.76783 25.43126 
##    12201    12202    12203    12204    12205    12206    12207    12208 
## 25.48736 25.09469 25.65564 25.03859 24.92640 25.88002 25.09469 24.64593 
##    12209    12210    12211    12212    12213    12214    12215    12216 
## 24.81421 25.20688 24.75812 24.92640 25.20688 25.43126 25.37517 25.03859 
##    12217    12218    12219    12220    12221    12222    12223    12224 
## 25.20688 25.48736 25.37517 25.20688 24.47764 25.99221 25.48736 24.92640 
##    12225    12226    12227    12228    12229    12230    12231    12232 
## 25.59955 25.88002 25.43126 24.58983 25.20688 25.20688 25.93612 25.48736 
##    12233    12234    12235    12236    12237    12238    12239    12240 
## 24.81421 24.64593 25.48736 25.03859 26.32879 24.92640 25.15078 24.92640 
##    12241    12242    12243    12244    12245    12246    12247    12248 
## 25.15078 24.98250 24.81421 24.70202 25.26297 25.37517 25.65564 25.65564 
##    12249    12250    12251    12252    12253    12254    12255    12256 
## 25.71174 25.37517 25.31907 25.43126 25.03859 24.64593 25.59955 25.09469 
##    12257    12258    12259    12260    12261    12262    12263    12264 
## 25.15078 24.42154 25.20688 24.98250 24.92640 24.75812 25.54345 25.09469 
##    12265    12266    12267    12268    12269    12270    12271    12272 
## 25.71174 25.43126 25.20688 24.92640 25.20688 24.75812 24.81421 25.20688 
##    12273    12274    12275    12276    12277    12278    12279    12280 
## 25.54345 24.70202 25.76783 24.70202 25.09469 24.98250 24.64593 24.92640 
##    12281    12282    12283    12284    12285    12286    12287    12288 
## 24.42154 25.82393 24.87031 25.48736 25.15078 24.58983 25.20688 25.09469 
##    12289    12290    12291    12292    12293    12294    12295    12296 
## 24.81421 25.59955 25.09469 24.81421 25.82393 25.48736 24.92640 24.87031 
##    12297    12298    12299    12300    12301    12302    12303    12304 
## 24.81421 25.31907 25.09469 25.65564 24.53373 24.53373 25.93612 24.87031 
##    12305    12306    12307    12308    12309    12310    12311    12312 
## 26.10441 25.43126 25.48736 25.09469 24.92640 25.43126 24.87031 25.82393 
##    12313    12314    12315    12316    12317    12318    12319    12320 
## 25.48736 25.54345 25.48736 24.98250 25.43126 25.54345 24.98250 25.82393 
##    12321    12322    12323    12324    12325    12326    12327    12328 
## 25.03859 25.09469 25.54345 25.31907 24.98250 25.43126 24.92640 25.20688 
##    12329    12330    12331    12332    12333    12334    12335    12336 
## 25.71174 24.98250 25.43126 24.81421 24.98250 25.20688 24.92640 25.48736 
##    12337    12338    12339    12340    12341    12342    12343    12344 
## 24.98250 25.15078 25.48736 25.59955 24.81421 25.88002 24.98250 25.59955 
##    12345    12346    12347    12348    12349    12350    12351    12352 
## 25.37517 25.43126 25.31907 24.87031 25.20688 24.98250 25.20688 25.48736 
##    12353    12354    12355    12356    12357    12358    12359    12360 
## 25.15078 25.43126 24.92640 25.26297 25.48736 25.20688 25.09469 24.87031 
##    12361    12362    12363    12364    12365    12366    12367    12368 
## 24.53373 25.43126 25.59955 25.54345 25.26297 25.71174 25.82393 25.65564 
##    12369    12370    12371    12372    12373    12374    12375    12376 
## 24.75812 25.88002 24.92640 25.31907 26.16050 24.53373 24.92640 25.93612 
##    12377    12378    12379    12380    12381    12382    12383    12384 
## 25.20688 25.54345 25.59955 25.48736 25.65564 25.20688 25.99221 25.26297 
##    12385    12386    12387    12388    12389    12390    12391    12392 
## 25.48736 25.37517 25.54345 25.48736 24.92640 25.20688 25.15078 24.75812 
##    12393    12394    12395    12396    12397    12398    12399    12400 
## 25.26297 25.26297 25.31907 25.93612 25.76783 24.92640 24.81421 25.20688 
##    12401    12402    12403    12404    12405    12406    12407    12408 
## 25.31907 25.76783 24.92640 24.87031 25.65564 24.81421 25.37517 25.54345 
##    12409    12410    12411    12412    12413    12414    12415    12416 
## 25.76783 25.43126 25.09469 25.65564 25.99221 25.65564 25.20688 25.31907 
##    12417    12418    12419    12420    12421    12422    12423    12424 
## 25.15078 24.42154 25.54345 24.53373 25.65564 24.92640 25.20688 25.65564 
##    12425    12426    12427    12428    12429    12430    12431    12432 
## 25.43126 24.81421 24.53373 25.76783 25.88002 24.81421 25.15078 25.20688 
##    12433    12434    12435    12436    12437    12438    12439    12440 
## 25.71174 25.31907 25.20688 25.76783 25.37517 25.37517 25.99221 24.92640 
##    12441    12442    12443    12444    12445    12446    12447    12448 
## 25.15078 25.76783 25.82393 25.76783 25.43126 25.37517 25.48736 24.92640 
##    12449    12450    12451    12452    12453    12454    12455    12456 
## 25.82393 25.15078 24.75812 25.99221 25.54345 25.03859 25.76783 24.87031 
##    12457    12458    12459    12460    12461    12462    12463    12464 
## 25.54345 25.31907 25.31907 24.64593 25.48736 24.75812 24.87031 25.59955 
##    12465    12466    12467    12468    12469    12470    12471    12472 
## 25.43126 24.64593 25.48736 25.82393 24.87031 24.75812 26.21660 25.76783 
##    12473    12474    12475    12476    12477    12478    12479    12480 
## 25.48736 25.59955 24.70202 25.76783 25.65564 25.03859 25.26297 24.92640 
##    12481    12482    12483    12484    12485    12486    12487    12488 
## 25.59955 25.48736 25.48736 25.37517 25.59955 24.92640 24.92640 24.64593 
##    12489    12490    12491    12492    12493    12494    12495    12496 
## 25.37517 25.48736 24.87031 25.82393 25.48736 25.59955 25.76783 24.75812 
##    12497    12498    12499    12500    12501    12502    12503    12504 
## 25.09469 25.09469 24.53373 25.65564 24.92640 25.99221 24.92640 25.82393 
##    12505    12506    12507    12508    12509    12510    12511    12512 
## 24.92640 25.82393 25.54345 25.03859 25.09469 25.20688 25.54345 25.48736 
##    12513    12514    12515    12516    12517    12518    12519    12520 
## 24.92640 25.20688 24.81421 25.48736 25.15078 25.93612 24.98250 25.48736 
##    12521    12522    12523    12524    12525    12526    12527    12528 
## 25.76783 25.82393 25.20688 25.20688 25.43126 25.37517 25.15078 25.54345 
##    12529    12530    12531    12532    12533    12534    12535    12536 
## 24.92640 25.09469 25.76783 25.31907 25.31907 25.20688 25.65564 24.81421 
##    12537    12538    12539    12540    12541    12542    12543    12544 
## 24.92640 25.65564 25.31907 25.09469 25.20688 25.15078 25.59955 25.54345 
##    12545    12546    12547    12548    12549    12550    12551    12552 
## 24.92640 25.31907 25.48736 25.59955 25.43126 24.08497 24.81421 25.65564 
##    12553    12554    12555    12556    12557    12558    12559    12560 
## 25.43126 25.76783 25.09469 25.48736 25.65564 25.03859 25.93612 25.71174 
##    12561    12562    12563    12564    12565    12566    12567    12568 
## 25.48736 26.10441 24.87031 25.48736 24.58983 25.26297 25.09469 24.75812 
##    12569    12570    12571    12572    12573    12574    12575    12576 
## 24.75812 25.59955 25.20688 24.64593 24.98250 25.20688 25.20688 25.43126 
##    12577    12578    12579    12580    12581    12582    12583    12584 
## 25.37517 24.92640 25.99221 25.99221 25.48736 24.36545 25.20688 25.65564 
##    12585    12586    12587    12588    12589    12590    12591    12592 
## 26.04831 25.31907 25.59955 25.71174 25.48736 24.64593 26.04831 25.48736 
##    12593    12594    12595    12596    12597    12598    12599    12600 
## 25.59955 25.48736 25.09469 25.59955 24.81421 25.54345 25.20688 25.09469 
##    12601    12602    12603    12604    12605    12606    12607    12608 
## 25.37517 25.43126 25.48736 24.92640 24.92640 24.81421 25.48736 25.54345 
##    12609    12610    12611    12612    12613    12614    12615    12616 
## 25.20688 25.03859 25.26297 24.70202 25.03859 25.43126 24.92640 25.37517 
##    12617    12618    12619    12620    12621    12622    12623    12624 
## 24.81421 24.98250 26.16050 25.82393 25.93612 24.92640 25.65564 25.65564 
##    12625    12626    12627    12628    12629    12630    12631    12632 
## 25.88002 25.43126 25.93612 25.99221 25.09469 25.43126 25.31907 25.37517 
##    12633    12634    12635    12636    12637    12638    12639    12640 
## 25.48736 25.71174 25.65564 25.54345 25.37517 25.37517 25.76783 24.92640 
##    12641    12642    12643    12644    12645    12646    12647    12648 
## 25.54345 25.15078 25.20688 25.31907 24.64593 25.76783 25.37517 25.59955 
##    12649    12650    12651    12652    12653    12654    12655    12656 
## 25.09469 24.92640 24.92640 25.09469 25.65564 25.31907 24.92640 25.76783 
##    12657    12658    12659    12660    12661    12662    12663    12664 
## 25.59955 25.20688 25.26297 25.31907 25.37517 26.04831 25.31907 24.92640 
##    12665    12666    12667    12668    12669    12670    12671    12672 
## 24.64593 25.31907 24.53373 24.70202 25.20688 24.92640 24.98250 24.92640 
##    12673    12674    12675    12676    12677    12678    12679    12680 
## 25.37517 25.20688 25.59955 25.59955 25.31907 25.09469 24.92640 25.65564 
##    12681    12682    12683    12684    12685    12686    12687    12688 
## 25.09469 25.48736 24.92640 25.09469 25.48736 25.15078 25.20688 26.27269 
##    12689    12690    12691    12692    12693    12694    12695    12696 
## 25.43126 25.37517 25.03859 25.09469 24.87031 24.36545 24.98250 25.82393 
##    12697    12698    12699    12700    12701    12702    12703    12704 
## 25.03859 26.04831 25.31907 25.65564 24.92640 25.26297 25.03859 25.31907 
##    12705    12706    12707    12708    12709    12710    12711    12712 
## 25.37517 25.54345 25.31907 24.98250 25.15078 24.81421 25.20688 24.92640 
##    12713    12714    12715    12716    12717    12718    12719    12720 
## 25.37517 25.20688 25.31907 25.48736 25.48736 25.54345 25.03859 24.70202 
##    12721    12722    12723    12724    12725    12726    12727    12728 
## 25.76783 24.81421 25.48736 25.48736 25.37517 25.93612 25.82393 24.70202 
##    12729    12730    12731    12732    12733    12734    12735    12736 
## 25.37517 25.26297 25.09469 25.88002 25.09469 25.71174 25.03859 25.37517 
##    12737    12738    12739    12740    12741    12742    12743    12744 
## 25.48736 25.48736 25.59955 25.37517 24.98250 25.43126 25.20688 25.65564 
##    12745    12746    12747    12748    12749    12750    12751    12752 
## 25.09469 25.54345 25.93612 25.59955 25.20688 24.98250 24.98250 25.26297 
##    12753    12754    12755    12756    12757    12758    12759    12760 
## 24.92640 25.76783 25.76783 25.48736 25.26297 25.20688 24.81421 25.20688 
##    12761    12762    12763    12764    12765    12766    12767    12768 
## 25.26297 25.71174 25.65564 25.31907 25.48736 25.03859 25.20688 25.65564 
##    12769    12770    12771    12772    12773    12774    12775    12776 
## 25.20688 25.54345 24.98250 24.75812 24.64593 24.87031 24.92640 25.59955 
##    12777    12778    12779    12780    12781    12782    12783    12784 
## 26.16050 25.20688 24.64593 26.04831 24.98250 24.64593 24.25326 25.37517 
##    12785    12786    12787    12788    12789    12790    12791    12792 
## 25.88002 25.65564 25.37517 25.15078 25.65564 25.48736 25.88002 25.15078 
##    12793    12794    12795    12796    12797    12798    12799    12800 
## 25.20688 25.82393 26.04831 25.59955 24.87031 25.65564 25.48736 24.81421 
##    12801    12802    12803    12804    12805    12806    12807    12808 
## 25.20688 25.48736 25.43126 25.48736 25.82393 25.20688 25.37517 25.31907 
##    12809    12810    12811    12812    12813    12814    12815    12816 
## 26.49707 25.99221 24.64593 25.20688 25.65564 25.59955 25.43126 25.20688 
##    12817    12818    12819    12820    12821    12822    12823    12824 
## 25.82393 25.48736 25.88002 25.20688 24.64593 24.53373 25.20688 25.03859 
##    12825    12826    12827    12828    12829    12830    12831    12832 
## 25.20688 25.37517 24.98250 25.59955 25.76783 25.43126 25.82393 25.65564 
##    12833    12834    12835    12836    12837    12838    12839    12840 
## 24.92640 25.26297 25.82393 24.53373 25.65564 25.03859 25.37517 25.43126 
##    12841    12842    12843    12844    12845    12846    12847    12848 
## 26.04831 25.99221 24.81421 24.92640 25.76783 25.82393 24.92640 25.65564 
##    12849    12850    12851    12852    12853    12854    12855    12856 
## 25.43126 24.53373 25.03859 25.43126 25.26297 24.64593 25.03859 25.31907 
##    12857    12858    12859    12860    12861    12862    12863    12864 
## 25.09469 25.65564 25.37517 24.47764 25.93612 24.75812 25.09469 25.20688 
##    12865    12866    12867    12868    12869    12870    12871    12872 
## 26.49707 25.76783 25.59955 24.64593 25.31907 25.48736 25.59955 24.64593 
##    12873    12874    12875    12876    12877    12878    12879    12880 
## 24.87031 25.99221 24.81421 25.26297 24.81421 25.71174 25.93612 25.65564 
##    12881    12882    12883    12884    12885    12886    12887    12888 
## 25.93612 25.93612 25.65564 25.59955 25.76783 25.65564 25.09469 25.03859 
##    12889    12890    12891    12892    12893    12894    12895    12896 
## 24.87031 25.15078 25.48736 25.65564 25.65564 25.65564 25.20688 25.31907 
##    12897    12898    12899    12900    12901    12902    12903    12904 
## 25.15078 25.48736 25.20688 25.37517 24.81421 25.65564 25.26297 25.65564 
##    12905    12906    12907    12908    12909    12910    12911    12912 
## 24.81421 25.37517 25.26297 24.92640 25.15078 24.64593 25.65564 25.65564 
##    12913    12914    12915    12916    12917    12918    12919    12920 
## 24.92640 25.59955 25.09469 24.64593 25.99221 24.87031 25.65564 24.92640 
##    12921    12922    12923    12924    12925    12926    12927    12928 
## 25.37517 25.20688 25.09469 25.37517 25.48736 25.71174 25.37517 25.99221 
##    12929    12930    12931    12932    12933    12934    12935    12936 
## 25.37517 25.03859 25.03859 25.65564 25.31907 25.37517 25.82393 25.09469 
##    12937    12938    12939    12940    12941    12942    12943    12944 
## 25.54345 25.20688 25.43126 24.81421 25.15078 24.75812 25.20688 25.09469 
##    12945    12946    12947    12948    12949    12950    12951    12952 
## 25.82393 25.26297 24.92640 24.98250 24.81421 25.48736 25.03859 25.48736 
##    12953    12954    12955    12956    12957    12958    12959    12960 
## 24.81421 25.43126 25.37517 25.48736 24.98250 25.09469 25.76783 25.54345 
##    12961    12962    12963    12964    12965    12966    12967    12968 
## 25.37517 24.87031 25.93612 25.59955 25.93612 26.04831 25.93612 24.92640 
##    12969    12970    12971    12972    12973    12974    12975    12976 
## 25.26297 25.03859 24.98250 25.59955 25.88002 25.59955 25.54345 24.70202 
##    12977    12978    12979    12980    12981    12982    12983    12984 
## 25.03859 25.59955 25.31907 25.71174 25.20688 25.09469 25.59955 25.71174 
##    12985    12986    12987    12988    12989    12990    12991    12992 
## 25.48736 25.82393 25.71174 24.98250 25.82393 25.09469 25.82393 25.20688 
##    12993    12994    12995    12996    12997    12998    12999    13000 
## 25.09469 24.58983 24.81421 25.20688 25.43126 25.54345 25.20688 25.09469 
##    13001    13002    13003    13004    13005    13006    13007    13008 
## 24.64593 25.09469 25.26297 24.81421 24.98250 25.20688 25.03859 24.64593 
##    13009    13010    13011    13012    13013    13014    13015    13016 
## 24.81421 26.10441 25.43126 25.31907 25.20688 25.37517 25.20688 25.48736 
##    13017    13018    13019    13020    13021    13022    13023    13024 
## 25.09469 25.15078 25.20688 25.09469 25.03859 25.76783 25.26297 24.70202 
##    13025    13026    13027    13028    13029    13030    13031    13032 
## 24.81421 25.65564 24.92640 25.59955 25.03859 24.98250 24.75812 25.09469 
##    13033    13034    13035    13036    13037    13038    13039    13040 
## 24.92640 24.81421 25.37517 25.09469 24.64593 24.87031 25.09469 25.48736 
##    13041    13042    13043    13044    13045    13046    13047    13048 
## 25.20688 24.87031 25.43126 25.48736 25.15078 25.26297 24.58983 25.65564 
##    13049    13050    13051    13052    13053    13054    13055    13056 
## 25.20688 25.31907 25.31907 25.31907 25.26297 25.31907 25.15078 25.37517 
##    13057    13058    13059    13060    13061    13062    13063    13064 
## 25.09469 25.37517 24.58983 25.26297 25.15078 24.98250 25.09469 24.64593 
##    13065    13066    13067    13068    13069    13070    13071    13072 
## 24.92640 25.48736 25.31907 25.59955 25.26297 25.37517 24.53373 25.15078 
##    13073    13074    13075    13076    13077    13078    13079    13080 
## 24.81421 25.65564 25.20688 24.98250 25.03859 25.54345 26.21660 25.09469 
##    13081    13082    13083    13084    13085    13086    13087    13088 
## 25.71174 25.31907 25.76783 25.65564 25.26297 25.37517 25.37517 25.43126 
##    13089    13090    13091    13092    13093    13094    13095    13096 
## 25.09469 24.64593 25.03859 24.92640 24.92640 24.58983 25.09469 25.82393 
##    13097    13098    13099    13100    13101    13102    13103    13104 
## 25.31907 25.20688 24.98250 25.26297 25.48736 25.48736 25.31907 24.92640 
##    13105    13106    13107    13108    13109    13110    13111    13112 
## 25.37517 24.64593 25.31907 24.53373 24.64593 24.64593 25.37517 25.20688 
##    13113    13114    13115    13116    13117    13118    13119    13120 
## 25.03859 25.26297 25.09469 25.54345 25.65564 25.88002 25.54345 25.59955 
##    13121    13122    13123    13124    13125    13126    13127    13128 
## 24.81421 25.65564 25.59955 25.76783 25.93612 25.20688 25.93612 24.92640 
##    13129    13130    13131    13132    13133    13134    13135    13136 
## 25.20688 25.20688 25.54345 25.31907 25.31907 25.88002 25.20688 25.37517 
##    13137    13138    13139    13140    13141    13142    13143    13144 
## 25.37517 24.64593 24.75812 25.93612 25.03859 24.64593 25.76783 25.26297 
##    13145    13146    13147    13148    13149    13150    13151    13152 
## 24.92640 25.54345 25.48736 24.98250 25.26297 24.87031 24.92640 25.15078 
##    13153    13154    13155    13156    13157    13158    13159    13160 
## 24.87031 25.37517 24.92640 24.92640 25.09469 25.37517 24.92640 26.10441 
##    13161    13162    13163    13164    13165    13166    13167    13168 
## 25.20688 25.48736 25.71174 25.03859 25.03859 24.36545 24.92640 24.81421 
##    13169    13170    13171    13172    13173    13174    13175    13176 
## 24.36545 24.75812 24.87031 25.43126 25.20688 25.20688 25.09469 25.93612 
##    13177    13178    13179    13180    13181    13182    13183    13184 
## 25.48736 24.87031 25.48736 24.92640 24.64593 25.48736 26.16050 24.92640 
##    13185    13186    13187    13188    13189    13190    13191    13192 
## 25.82393 25.54345 24.98250 25.31907 26.04831 25.76783 24.64593 24.92640 
##    13193    13194    13195    13196    13197    13198    13199    13200 
## 25.71174 25.15078 24.75812 24.92640 25.54345 25.76783 25.71174 25.59955 
##    13201    13202    13203    13204    13205    13206    13207    13208 
## 25.37517 26.04831 25.82393 25.37517 25.26297 25.76783 25.31907 25.09469 
##    13209    13210    13211    13212    13213    13214    13215    13216 
## 26.21660 26.04831 25.65564 25.09469 25.59955 24.92640 25.09469 24.92640 
##    13217    13218    13219    13220    13221    13222    13223    13224 
## 25.59955 25.43126 24.98250 25.26297 24.36545 24.64593 25.99221 25.71174 
##    13225    13226    13227    13228    13229    13230    13231    13232 
## 25.31907 24.92640 25.54345 25.37517 25.03859 25.48736 24.64593 25.48736 
##    13233    13234    13235    13236    13237    13238    13239    13240 
## 25.99221 24.47764 25.65564 25.59955 25.09469 25.71174 25.20688 24.64593 
##    13241    13242    13243    13244    13245    13246    13247    13248 
## 25.26297 25.48736 25.48736 25.03859 25.54345 25.09469 24.81421 25.54345 
##    13249    13250    13251    13252    13253    13254    13255    13256 
## 25.48736 24.92640 24.36545 25.54345 25.15078 25.54345 24.47764 25.09469 
##    13257    13258    13259    13260    13261    13262    13263    13264 
## 26.10441 25.03859 25.43126 24.70202 25.09469 25.31907 25.31907 25.20688 
##    13265    13266    13267    13268    13269    13270    13271    13272 
## 24.92640 24.70202 25.15078 25.26297 25.20688 24.81421 24.92640 25.03859 
##    13273    13274    13275    13276    13277    13278    13279    13280 
## 24.87031 25.09469 24.92640 25.37517 25.09469 24.64593 25.26297 25.48736 
##    13281    13282    13283    13284    13285    13286    13287    13288 
## 25.20688 25.76783 25.76783 24.75812 25.03859 25.09469 25.26297 25.48736 
##    13289    13290    13291    13292    13293    13294    13295    13296 
## 24.92640 25.65564 24.92640 25.54345 24.42154 25.82393 25.15078 25.09469 
##    13297    13298    13299    13300    13301    13302    13303    13304 
## 25.54345 25.09469 25.48736 24.98250 25.09469 25.82393 25.26297 25.54345 
##    13305    13306    13307    13308    13309    13310    13311    13312 
## 24.98250 25.37517 25.03859 25.59955 25.09469 25.31907 25.09469 25.26297 
##    13313    13314    13315    13316    13317    13318    13319    13320 
## 25.76783 25.71174 25.20688 25.54345 26.04831 25.09469 25.15078 25.15078 
##    13321    13322    13323    13324    13325    13326    13327    13328 
## 24.92640 25.20688 25.20688 25.15078 25.48736 24.75812 24.64593 25.43126 
##    13329    13330    13331    13332    13333    13334    13335    13336 
## 25.99221 25.09469 25.20688 25.37517 25.15078 25.26297 24.87031 25.09469 
##    13337    13338    13339    13340    13341    13342    13343    13344 
## 26.10441 25.43126 24.92640 25.76783 25.37517 25.37517 25.59955 25.59955 
##    13345    13346    13347    13348    13349    13350    13351    13352 
## 26.04831 25.48736 25.20688 25.54345 25.37517 25.03859 25.20688 25.88002 
##    13353    13354    13355    13356    13357    13358    13359    13360 
## 25.48736 25.37517 24.70202 25.20688 24.87031 25.09469 24.81421 25.26297 
##    13361    13362    13363    13364    13365    13366    13367    13368 
## 25.15078 24.92640 25.31907 25.48736 25.26297 24.81421 24.36545 24.81421 
##    13369    13370    13371    13372    13373    13374    13375    13376 
## 25.43126 25.93612 25.37517 24.75812 25.09469 25.88002 25.26297 25.09469 
##    13377    13378    13379    13380    13381    13382    13383    13384 
## 25.65564 25.20688 25.93612 24.64593 24.64593 26.04831 25.59955 25.03859 
##    13385    13386    13387    13388    13389    13390    13391    13392 
## 25.65564 25.20688 25.71174 24.81421 24.87031 25.59955 24.98250 25.15078 
##    13393    13394    13395    13396    13397    13398    13399    13400 
## 25.20688 25.54345 25.48736 25.48736 25.59955 25.20688 25.20688 24.75812 
##    13401    13402    13403    13404    13405    13406    13407    13408 
## 25.20688 25.76783 25.15078 25.09469 25.15078 25.15078 24.98250 24.87031 
##    13409    13410    13411    13412    13413    13414    13415    13416 
## 24.75812 25.15078 24.70202 25.37517 25.65564 25.65564 25.54345 24.64593 
##    13417    13418    13419    13420    13421    13422    13423    13424 
## 24.64593 24.64593 25.09469 25.31907 25.54345 25.20688 25.31907 25.43126 
##    13425    13426    13427    13428    13429    13430    13431    13432 
## 24.75812 25.31907 25.09469 25.93612 25.93612 25.15078 25.93612 26.04831 
##    13433    13434    13435    13436    13437    13438    13439    13440 
## 25.03859 25.93612 24.87031 25.31907 25.15078 25.20688 25.09469 24.70202 
##    13441    13442    13443    13444    13445    13446    13447    13448 
## 25.15078 25.48736 25.65564 25.59955 25.37517 25.09469 25.88002 25.26297 
##    13449    13450    13451    13452    13453    13454    13455    13456 
## 25.15078 24.92640 25.54345 25.03859 24.98250 24.30935 25.65564 24.70202 
##    13457    13458    13459    13460    13461    13462    13463    13464 
## 25.37517 25.26297 24.92640 24.75812 25.43126 25.37517 25.15078 26.10441 
##    13465    13466    13467    13468    13469    13470    13471    13472 
## 26.10441 25.54345 25.43126 25.43126 24.30935 25.43126 25.37517 25.43126 
##    13473    13474    13475    13476    13477    13478    13479    13480 
## 24.81421 25.59955 25.31907 25.09469 24.81421 25.26297 24.92640 25.76783 
##    13481    13482    13483    13484    13485    13486    13487    13488 
## 25.20688 25.37517 25.03859 25.37517 24.64593 25.93612 25.88002 25.82393 
##    13489    13490    13491    13492    13493    13494    13495    13496 
## 24.98250 24.98250 24.92640 25.26297 25.20688 25.37517 24.98250 25.76783 
##    13497    13498    13499    13500    13501    13502    13503    13504 
## 25.37517 25.82393 25.09469 24.98250 25.03859 25.03859 25.31907 26.10441 
##    13505    13506    13507    13508    13509    13510    13511    13512 
## 25.37517 25.09469 24.98250 25.37517 25.37517 24.53373 26.04831 25.65564 
##    13513    13514    13515    13516    13517    13518    13519    13520 
## 24.92640 24.42154 25.20688 25.65564 25.65564 25.03859 25.43126 24.64593 
##    13521    13522    13523    13524    13525    13526    13527    13528 
## 25.76783 24.75812 25.37517 25.59955 25.37517 24.58983 25.20688 24.58983 
##    13529    13530    13531    13532    13533    13534    13535    13536 
## 24.92640 25.43126 25.76783 26.21660 25.93612 25.20688 25.26297 24.81421 
##    13537    13538    13539    13540    13541    13542    13543    13544 
## 24.81421 25.43126 24.70202 25.48736 25.76783 25.65564 25.31907 25.20688 
##    13545    13546    13547    13548    13549    13550    13551    13552 
## 25.37517 25.31907 25.59955 25.82393 24.98250 25.43126 24.47764 24.98250 
##    13553    13554    13555    13556    13557    13558    13559    13560 
## 25.20688 25.93612 26.10441 25.03859 24.92640 25.15078 24.87031 25.37517 
##    13561    13562    13563    13564    13565    13566    13567    13568 
## 25.54345 25.48736 24.75812 25.20688 25.20688 25.37517 25.82393 26.16050 
##    13569    13570    13571    13572    13573    13574    13575    13576 
## 25.09469 25.48736 25.43126 25.20688 24.70202 25.59955 24.98250 24.98250 
##    13577    13578    13579    13580    13581    13582    13583    13584 
## 26.16050 25.43126 25.09469 24.92640 25.09469 24.87031 24.87031 25.76783 
##    13585    13586    13587    13588    13589    13590    13591    13592 
## 25.43126 24.36545 24.64593 24.36545 25.59955 25.48736 25.48736 24.53373 
##    13593    13594    13595    13596    13597    13598    13599    13600 
## 25.20688 25.82393 25.59955 25.82393 25.37517 25.03859 25.93612 25.09469 
##    13601    13602    13603    13604    13605    13606    13607    13608 
## 25.65564 25.37517 25.88002 25.20688 25.15078 25.31907 25.03859 25.09469 
##    13609    13610    13611    13612    13613    13614    13615    13616 
## 25.03859 25.03859 25.03859 25.48736 25.26297 25.15078 25.09469 24.70202 
##    13617    13618    13619    13620    13621    13622    13623    13624 
## 26.10441 26.04831 25.31907 25.20688 24.92640 25.54345 24.92640 25.20688 
##    13625    13626    13627    13628    13629    13630    13631    13632 
## 25.65564 25.59955 25.26297 24.53373 24.53373 24.98250 25.88002 24.92640 
##    13633    13634    13635    13636    13637    13638    13639    13640 
## 24.75812 25.37517 25.09469 26.16050 25.37517 25.48736 25.48736 25.26297 
##    13641    13642    13643    13644    13645    13646    13647    13648 
## 25.26297 25.31907 26.10441 25.31907 25.99221 25.43126 25.15078 25.65564 
##    13649    13650    13651    13652    13653    13654    13655    13656 
## 24.87031 25.65564 25.20688 25.37517 25.76783 24.64593 25.26297 25.20688 
##    13657    13658    13659    13660    13661    13662    13663    13664 
## 25.09469 25.82393 25.48736 25.48736 25.99221 25.82393 26.10441 25.20688 
##    13665    13666    13667    13668    13669    13670    13671    13672 
## 25.48736 24.81421 25.09469 25.65564 25.20688 25.48736 25.37517 25.03859 
##    13673    13674    13675    13676    13677    13678    13679    13680 
## 25.43126 24.81421 25.20688 25.82393 25.48736 24.81421 25.20688 25.65564 
##    13681    13682    13683    13684    13685    13686    13687    13688 
## 24.36545 25.48736 25.31907 25.48736 25.76783 25.31907 25.09469 25.65564 
##    13689    13690    13691    13692    13693    13694    13695    13696 
## 25.76783 25.76783 25.71174 25.37517 25.03859 25.59955 25.48736 25.09469 
##    13697    13698    13699    13700    13701    13702    13703    13704 
## 25.71174 25.76783 25.31907 25.37517 26.21660 25.26297 25.20688 25.20688 
##    13705    13706    13707    13708    13709    13710    13711    13712 
## 25.48736 25.20688 25.48736 25.59955 25.20688 24.75812 25.43126 25.71174 
##    13713    13714    13715    13716    13717    13718    13719    13720 
## 24.81421 25.26297 24.98250 25.09469 25.82393 25.76783 24.64593 25.43126 
##    13721    13722    13723    13724    13725    13726    13727    13728 
## 25.09469 24.92640 25.15078 24.98250 25.20688 25.43126 25.37517 25.65564 
##    13729    13730    13731    13732    13733    13734    13735    13736 
## 24.87031 25.48736 25.03859 24.70202 25.48736 25.37517 25.65564 24.87031 
##    13737    13738    13739    13740    13741    13742    13743    13744 
## 25.54345 25.09469 24.98250 26.16050 25.54345 25.48736 25.76783 25.03859 
##    13745    13746    13747    13748    13749    13750    13751    13752 
## 25.88002 25.48736 24.81421 25.03859 25.15078 25.20688 25.20688 25.59955 
##    13753    13754    13755    13756    13757    13758    13759    13760 
## 25.71174 25.31907 25.43126 25.54345 24.81421 25.03859 24.92640 25.09469 
##    13761    13762    13763    13764    13765    13766    13767    13768 
## 25.48736 25.43126 25.15078 24.81421 25.03859 25.65564 25.43126 24.47764 
##    13769    13770    13771    13772    13773    13774    13775    13776 
## 25.31907 25.93612 25.31907 25.26297 24.98250 25.09469 24.87031 24.81421 
##    13777    13778    13779    13780    13781    13782    13783    13784 
## 25.20688 25.20688 25.82393 25.54345 25.09469 25.65564 25.82393 25.82393 
##    13785    13786    13787    13788    13789    13790    13791    13792 
## 25.20688 25.48736 24.92640 25.37517 25.71174 25.65564 25.65564 25.48736 
##    13793    13794    13795    13796    13797    13798    13799    13800 
## 25.65564 25.93612 25.43126 25.09469 25.82393 25.59955 25.48736 25.37517 
##    13801    13802    13803    13804    13805    13806    13807    13808 
## 25.09469 25.59955 25.20688 25.54345 25.54345 25.93612 25.37517 24.87031 
##    13809    13810    13811    13812    13813    13814    13815    13816 
## 25.65564 25.76783 25.65564 24.81421 25.76783 25.31907 24.81421 25.26297 
##    13817    13818    13819    13820    13821    13822    13823    13824 
## 24.87031 25.54345 25.20688 25.59955 25.65564 26.04831 25.20688 25.65564 
##    13825    13826    13827    13828    13829    13830    13831    13832 
## 24.64593 25.43126 25.65564 25.54345 25.20688 24.75812 25.43126 25.03859 
##    13833    13834    13835    13836    13837    13838    13839    13840 
## 25.71174 25.20688 25.43126 25.93612 25.82393 25.43126 26.10441 25.20688 
##    13841    13842    13843    13844    13845    13846    13847    13848 
## 25.48736 25.65564 24.98250 24.81421 24.92640 24.75812 25.82393 25.09469 
##    13849    13850    13851    13852    13853    13854    13855    13856 
## 25.65564 25.76783 25.82393 25.26297 25.48736 26.10441 25.48736 24.92640 
##    13857    13858    13859    13860    13861    13862    13863    13864 
## 25.20688 25.54345 24.53373 25.20688 25.20688 25.48736 24.92640 25.43126 
##    13865    13866    13867    13868    13869    13870    13871    13872 
## 26.04831 25.09469 25.71174 25.65564 25.03859 25.31907 25.76783 25.48736 
##    13873    13874    13875    13876    13877    13878    13879    13880 
## 25.37517 25.48736 24.98250 25.76783 25.65564 25.48736 24.92640 25.59955 
##    13881    13882    13883    13884    13885    13886    13887    13888 
## 25.31907 25.37517 24.98250 25.76783 25.43126 24.87031 25.31907 25.15078 
##    13889    13890    13891    13892    13893    13894    13895    13896 
## 25.20688 25.54345 25.20688 25.20688 26.16050 24.25326 24.36545 24.92640 
##    13897    13898    13899    13900    13901    13902    13903    13904 
## 24.75812 25.37517 25.37517 25.76783 25.20688 24.87031 26.04831 25.20688 
##    13905    13906    13907    13908    13909    13910    13911    13912 
## 25.26297 25.15078 24.75812 25.37517 25.09469 25.88002 25.82393 25.65564 
##    13913    13914    13915    13916    13917    13918    13919    13920 
## 25.54345 25.76783 25.65564 25.31907 24.64593 24.92640 24.92640 24.87031 
##    13921    13922    13923    13924    13925    13926    13927    13928 
## 25.82393 25.48736 25.09469 24.81421 25.65564 25.26297 24.92640 25.20688 
##    13929    13930    13931    13932    13933    13934    13935    13936 
## 25.26297 25.20688 25.20688 24.98250 24.75812 24.98250 25.15078 24.81421 
##    13937    13938    13939    13940    13941    13942    13943    13944 
## 24.87031 25.76783 24.70202 25.59955 25.03859 24.70202 25.59955 25.09469 
##    13945    13946    13947    13948    13949    13950    13951    13952 
## 25.31907 25.20688 25.48736 24.36545 24.92640 25.59955 25.76783 25.37517 
##    13953    13954    13955    13956    13957    13958    13959    13960 
## 25.88002 24.58983 25.26297 25.54345 25.37517 25.15078 25.43126 24.64593 
##    13961    13962    13963    13964    13965    13966    13967    13968 
## 25.31907 25.48736 24.81421 25.82393 25.03859 25.65564 25.54345 25.09469 
##    13969    13970    13971    13972    13973    13974    13975    13976 
## 24.47764 25.26297 25.71174 25.09469 24.81421 25.15078 24.64593 24.75812 
##    13977    13978    13979    13980    13981    13982    13983    13984 
## 25.20688 25.03859 25.31907 25.65564 25.03859 24.98250 25.54345 25.48736 
##    13985    13986    13987    13988    13989    13990    13991    13992 
## 25.37517 24.92640 24.30935 25.03859 24.87031 25.65564 25.03859 25.09469 
##    13993    13994    13995    13996    13997    13998    13999    14000 
## 25.15078 25.26297 24.92640 25.43126 25.15078 25.03859 26.32879 25.20688 
##    14001    14002    14003    14004    14005    14006    14007    14008 
## 25.20688 25.37517 24.64593 25.71174 24.70202 25.20688 25.43126 24.75812 
##    14009    14010    14011    14012    14013    14014    14015    14016 
## 25.99221 25.03859 25.48736 25.31907 25.26297 24.64593 25.09469 24.92640 
##    14017    14018    14019    14020    14021    14022    14023    14024 
## 25.09469 25.20688 24.47764 25.20688 25.37517 25.03859 25.76783 25.43126 
##    14025    14026    14027    14028    14029    14030    14031    14032 
## 25.31907 25.48736 25.09469 25.03859 25.09469 24.98250 25.82393 24.70202 
##    14033    14034    14035    14036    14037    14038    14039    14040 
## 25.15078 24.87031 24.81421 24.81421 25.20688 25.59955 25.76783 24.42154 
##    14041    14042    14043    14044    14045    14046    14047    14048 
## 25.76783 25.20688 25.15078 24.92640 24.98250 24.87031 25.37517 25.31907 
##    14049    14050    14051    14052    14053    14054    14055    14056 
## 25.09469 25.54345 24.64593 24.92640 25.48736 24.92640 24.81421 25.26297 
##    14057    14058    14059    14060    14061    14062    14063    14064 
## 25.09469 25.54345 25.03859 24.58983 24.81421 25.09469 24.87031 25.54345 
##    14065    14066    14067    14068    14069    14070    14071    14072 
## 25.48736 25.26297 25.20688 24.92640 24.75812 25.03859 25.93612 25.48736 
##    14073    14074    14075    14076    14077    14078    14079    14080 
## 24.81421 24.92640 25.48736 25.31907 25.31907 25.03859 24.81421 25.31907 
##    14081    14082    14083    14084    14085    14086    14087    14088 
## 25.31907 25.65564 24.75812 24.58983 25.20688 26.04831 25.88002 25.15078 
##    14089    14090    14091    14092    14093    14094    14095    14096 
## 25.26297 25.09469 25.43126 25.31907 25.26297 25.65564 25.37517 25.03859 
##    14097    14098    14099    14100    14101    14102    14103    14104 
## 25.48736 25.20688 25.37517 25.76783 25.59955 25.54345 24.92640 24.98250 
##    14105    14106    14107    14108    14109    14110    14111    14112 
## 24.53373 25.59955 24.42154 25.76783 24.92640 25.03859 24.98250 24.92640 
##    14113    14114    14115    14116    14117    14118    14119    14120 
## 25.48736 26.16050 25.31907 25.26297 25.71174 25.48736 24.92640 25.09469 
##    14121    14122    14123    14124    14125    14126    14127    14128 
## 25.37517 25.20688 25.09469 25.99221 25.82393 25.76783 25.31907 26.04831 
##    14129    14130    14131    14132    14133    14134    14135    14136 
## 24.70202 24.92640 24.47764 24.81421 24.70202 25.26297 25.37517 24.36545 
##    14137    14138    14139    14140    14141    14142    14143    14144 
## 25.37517 24.98250 25.09469 24.98250 25.93612 25.88002 25.09469 24.87031 
##    14145    14146    14147    14148    14149    14150    14151    14152 
## 25.26297 25.43126 25.31907 25.82393 25.76783 25.93612 25.09469 25.48736 
##    14153    14154    14155    14156    14157    14158    14159    14160 
## 25.20688 25.48736 24.92640 25.26297 24.92640 25.09469 24.53373 25.48736 
##    14161    14162    14163    14164    14165    14166    14167    14168 
## 25.71174 25.03859 25.03859 24.64593 24.75812 24.92640 25.65564 24.98250 
##    14169    14170    14171    14172    14173    14174    14175    14176 
## 25.03859 24.81421 25.15078 24.64593 25.31907 25.09469 24.92640 25.09469 
##    14177    14178    14179    14180    14181    14182    14183    14184 
## 25.82393 24.64593 25.15078 25.15078 25.20688 24.64593 25.43126 25.37517 
##    14185    14186    14187    14188    14189    14190    14191    14192 
## 25.43126 25.43126 25.93612 24.64593 26.04831 25.43126 24.87031 25.48736 
##    14193    14194    14195    14196    14197    14198    14199    14200 
## 25.37517 25.31907 25.43126 24.92640 24.42154 25.26297 25.26297 25.20688 
##    14201    14202    14203    14204    14205    14206    14207    14208 
## 25.03859 25.59955 24.53373 25.54345 24.75812 25.20688 25.37517 24.81421 
##    14209    14210    14211    14212    14213    14214    14215    14216 
## 25.88002 24.92640 25.15078 24.81421 24.81421 24.92640 25.20688 24.75812 
##    14217    14218    14219    14220    14221    14222    14223    14224 
## 25.20688 25.43126 25.54345 25.37517 25.71174 25.54345 25.37517 25.65564 
##    14225    14226    14227    14228    14229    14230    14231    14232 
## 25.31907 25.31907 25.20688 25.09469 25.20688 25.26297 25.54345 25.48736 
##    14233    14234    14235    14236    14237    14238    14239    14240 
## 25.20688 25.31907 24.81421 26.21660 25.20688 24.87031 25.59955 24.81421 
##    14241    14242    14243    14244    14245    14246    14247    14248 
## 25.59955 25.09469 25.03859 25.43126 25.54345 25.37517 25.48736 25.03859 
##    14249    14250    14251    14252    14253    14254    14255    14256 
## 24.75812 25.09469 26.10441 24.92640 25.09469 26.21660 25.99221 24.92640 
##    14257    14258    14259    14260    14261    14262    14263    14264 
## 25.88002 25.20688 25.31907 24.92640 25.88002 25.31907 25.15078 25.48736 
##    14265    14266    14267    14268    14269    14270    14271    14272 
## 25.20688 25.82393 24.92640 25.93612 25.59955 25.76783 25.15078 25.26297 
##    14273    14274    14275    14276    14277    14278    14279    14280 
## 25.20688 24.81421 25.20688 25.76783 24.92640 24.98250 25.20688 24.87031 
##    14281    14282    14283    14284    14285    14286    14287    14288 
## 25.20688 25.31907 25.93612 24.75812 26.16050 24.92640 25.26297 24.81421 
##    14289    14290    14291    14292    14293    14294    14295    14296 
## 25.09469 25.71174 24.81421 25.93612 25.31907 25.48736 25.26297 25.09469 
##    14297    14298    14299    14300    14301    14302    14303    14304 
## 24.64593 25.09469 24.92640 25.71174 25.99221 25.09469 25.54345 25.37517 
##    14305    14306    14307    14308    14309    14310    14311    14312 
## 25.20688 25.31907 25.26297 25.76783 25.93612 24.98250 25.43126 25.09469 
##    14313    14314    14315    14316    14317    14318    14319    14320 
## 24.92640 25.54345 24.75812 25.82393 25.88002 25.20688 25.99221 24.75812 
##    14321    14322    14323    14324    14325    14326    14327    14328 
## 25.20688 24.87031 25.37517 25.37517 25.65564 25.26297 25.31907 25.37517 
##    14329    14330    14331    14332    14333    14334    14335    14336 
## 25.54345 25.03859 25.76783 25.09469 25.76783 25.09469 25.37517 25.09469 
##    14337    14338    14339    14340    14341    14342    14343    14344 
## 24.75812 25.65564 24.92640 24.53373 25.09469 25.59955 25.26297 26.10441 
##    14345    14346    14347    14348    14349    14350    14351    14352 
## 24.98250 25.48736 25.20688 24.70202 24.58983 25.48736 25.82393 25.43126 
##    14353    14354    14355    14356    14357    14358    14359    14360 
## 24.98250 25.26297 25.48736 25.76783 25.65564 25.71174 25.65564 25.37517 
##    14361    14362    14363    14364    14365    14366    14367    14368 
## 25.37517 24.53373 25.82393 25.54345 25.03859 25.48736 24.98250 25.59955 
##    14369    14370    14371    14372    14373    14374    14375    14376 
## 25.26297 25.31907 25.37517 24.92640 25.37517 25.09469 25.37517 25.43126 
##    14377    14378    14379    14380    14381    14382    14383    14384 
## 25.20688 25.03859 26.10441 24.92640 25.59955 25.15078 25.15078 25.31907 
##    14385    14386    14387    14388    14389    14390    14391    14392 
## 25.71174 25.20688 25.93612 25.09469 25.20688 25.20688 25.48736 25.48736 
##    14393    14394    14395    14396    14397    14398    14399    14400 
## 25.54345 24.58983 25.09469 24.92640 24.87031 25.71174 25.65564 24.98250 
##    14401    14402    14403    14404    14405    14406    14407    14408 
## 24.75812 25.26297 25.03859 25.03859 24.19716 24.87031 25.59955 24.87031 
##    14409    14410    14411    14412    14413    14414    14415    14416 
## 25.31907 25.82393 25.93612 25.54345 25.54345 25.59955 25.48736 24.98250 
##    14417    14418    14419    14420    14421    14422    14423    14424 
## 24.87031 24.92640 25.54345 25.59955 25.65564 24.58983 25.71174 25.82393 
##    14425    14426    14427    14428    14429    14430    14431    14432 
## 25.03859 24.87031 25.76783 25.59955 24.64593 24.75812 26.04831 25.20688 
##    14433    14434    14435    14436    14437    14438    14439    14440 
## 25.03859 25.26297 25.82393 25.82393 26.04831 25.54345 25.48736 25.31907 
##    14441    14442    14443    14444    14445    14446    14447    14448 
## 25.59955 24.64593 25.09469 26.38488 24.75812 25.37517 25.48736 25.59955 
##    14449    14450    14451    14452    14453    14454    14455    14456 
## 25.48736 25.26297 26.10441 24.98250 25.48736 25.82393 24.92640 26.10441 
##    14457    14458    14459    14460    14461    14462    14463    14464 
## 25.82393 24.98250 25.43126 24.64593 24.64593 24.70202 25.09469 25.03859 
##    14465    14466    14467    14468    14469    14470    14471    14472 
## 25.65564 25.54345 25.37517 25.37517 25.20688 25.54345 24.87031 24.81421 
##    14473    14474    14475    14476    14477    14478    14479    14480 
## 25.82393 24.92640 25.31907 24.75812 24.98250 25.15078 24.58983 25.03859 
##    14481    14482    14483    14484    14485    14486    14487    14488 
## 25.48736 25.88002 24.75812 25.09469 24.47764 25.76783 25.31907 25.09469 
##    14489    14490    14491    14492    14493    14494    14495    14496 
## 25.54345 25.37517 24.81421 25.43126 25.88002 25.37517 25.20688 25.76783 
##    14497    14498    14499    14500    14501    14502    14503    14504 
## 25.37517 25.59955 25.76783 25.26297 24.92640 25.31907 25.31907 24.81421 
##    14505    14506    14507    14508    14509    14510    14511    14512 
## 25.48736 25.20688 24.64593 25.20688 25.20688 25.65564 25.37517 25.65564 
##    14513    14514    14515    14516    14517    14518    14519    14520 
## 25.54345 25.20688 25.26297 24.75812 25.65564 24.98250 24.92640 25.03859 
##    14521    14522    14523    14524    14525    14526    14527    14528 
## 25.88002 25.20688 25.03859 24.92640 25.20688 24.53373 25.09469 24.92640 
##    14529    14530    14531    14532    14533    14534    14535    14536 
## 25.65564 25.82393 25.82393 25.43126 25.09469 25.26297 25.37517 25.20688 
##    14537    14538    14539    14540    14541    14542    14543    14544 
## 24.92640 25.48736 25.54345 25.20688 25.54345 25.76783 25.20688 25.37517 
##    14545    14546    14547    14548    14549    14550    14551    14552 
## 24.64593 25.03859 25.99221 25.03859 25.88002 24.92640 25.48736 25.48736 
##    14553    14554    14555    14556    14557    14558    14559    14560 
## 24.98250 25.48736 25.48736 25.37517 24.98250 24.64593 25.26297 24.64593 
##    14561    14562    14563    14564    14565    14566    14567    14568 
## 25.15078 24.92640 25.43126 25.26297 24.81421 24.92640 24.87031 25.43126 
##    14569    14570    14571    14572    14573    14574    14575    14576 
## 24.47764 25.09469 25.20688 24.19716 25.15078 25.43126 25.65564 25.99221 
##    14577    14578    14579    14580    14581    14582    14583    14584 
## 25.09469 25.31907 25.31907 25.09469 25.48736 25.37517 24.92640 25.43126 
##    14585    14586    14587    14588    14589    14590    14591    14592 
## 25.76783 25.59955 25.03859 25.15078 24.70202 25.20688 24.81421 24.42154 
##    14593    14594    14595    14596    14597    14598    14599    14600 
## 25.59955 25.31907 25.82393 25.82393 25.65564 25.48736 25.26297 24.64593 
##    14601    14602    14603    14604    14605    14606    14607    14608 
## 25.43126 25.93612 25.37517 25.31907 25.37517 24.70202 25.20688 24.98250 
##    14609    14610    14611    14612    14613    14614    14615    14616 
## 24.98250 24.75812 25.26297 24.92640 25.20688 24.87031 26.10441 25.20688 
##    14617    14618    14619    14620    14621    14622    14623    14624 
## 24.98250 25.43126 25.26297 24.87031 25.54345 24.92640 25.20688 25.82393 
##    14625    14626    14627    14628    14629    14630    14631    14632 
## 25.15078 25.09469 24.47764 25.37517 24.92640 25.76783 25.48736 24.81421 
##    14633    14634    14635    14636    14637    14638    14639    14640 
## 25.09469 25.76783 25.71174 25.65564 25.82393 24.87031 25.82393 25.71174 
##    14641    14642    14643    14644    14645    14646    14647    14648 
## 24.92640 24.98250 25.20688 25.65564 25.37517 24.92640 25.20688 24.70202 
##    14649    14650    14651    14652    14653    14654    14655    14656 
## 25.76783 24.75812 25.03859 25.20688 25.37517 25.37517 25.71174 26.27269 
##    14657    14658    14659    14660    14661    14662    14663    14664 
## 26.21660 24.64593 24.42154 24.70202 25.48736 25.65564 24.75812 24.70202 
##    14665    14666    14667    14668    14669    14670    14671    14672 
## 25.09469 24.81421 25.03859 25.20688 25.65564 25.54345 25.20688 24.92640 
##    14673    14674    14675    14676    14677    14678    14679    14680 
## 24.92640 25.03859 25.20688 25.26297 25.20688 24.92640 25.26297 25.88002 
##    14681    14682    14683    14684    14685    14686    14687    14688 
## 24.92640 25.71174 25.54345 24.42154 24.64593 24.92640 25.48736 24.58983 
##    14689    14690    14691    14692    14693    14694    14695    14696 
## 25.31907 25.20688 25.20688 24.98250 24.58983 25.03859 25.88002 25.93612 
##    14697    14698    14699    14700    14701    14702    14703    14704 
## 25.03859 24.98250 25.09469 25.09469 25.31907 25.65564 25.20688 24.81421 
##    14705    14706    14707    14708    14709    14710    14711    14712 
## 24.81421 25.76783 25.20688 25.20688 25.65564 24.98250 25.09469 25.59955 
##    14713    14714    14715    14716    14717    14718    14719    14720 
## 25.37517 25.15078 25.09469 25.37517 25.76783 25.48736 25.65564 25.48736 
##    14721    14722    14723    14724    14725    14726    14727    14728 
## 25.26297 24.98250 25.82393 24.64593 25.37517 25.37517 25.54345 25.43126 
##    14729    14730    14731    14732    14733    14734    14735    14736 
## 24.87031 24.81421 25.59955 25.37517 24.81421 24.98250 25.71174 25.65564 
##    14737    14738    14739    14740    14741    14742    14743    14744 
## 25.31907 25.59955 25.65564 24.81421 24.70202 25.15078 25.03859 25.88002 
##    14745    14746    14747    14748    14749    14750    14751    14752 
## 25.09469 25.09469 25.48736 25.26297 25.43126 24.98250 25.09469 25.48736 
##    14753    14754    14755    14756    14757    14758    14759    14760 
## 25.09469 24.64593 24.98250 25.20688 25.59955 25.15078 25.43126 25.09469 
##    14761    14762    14763    14764    14765    14766    14767    14768 
## 25.20688 24.98250 25.65564 25.48736 25.09469 24.92640 25.48736 24.92640 
##    14769    14770    14771    14772    14773    14774    14775    14776 
## 25.65564 25.26297 24.98250 25.48736 25.31907 24.81421 24.81421 25.15078 
##    14777    14778    14779    14780    14781    14782    14783    14784 
## 25.09469 25.15078 25.59955 25.43126 25.31907 24.47764 25.48736 24.92640 
##    14785    14786    14787    14788    14789    14790    14791    14792 
## 25.09469 24.53373 25.59955 25.54345 25.93612 24.87031 24.92640 25.43126 
##    14793    14794    14795    14796    14797    14798    14799    14800 
## 25.03859 24.92640 24.64593 25.20688 25.20688 24.75812 25.03859 24.81421 
##    14801    14802    14803    14804    14805    14806    14807    14808 
## 25.09469 24.75812 25.76783 25.15078 25.20688 25.37517 24.98250 25.71174 
##    14809    14810    14811    14812    14813    14814    14815    14816 
## 25.43126 25.26297 24.87031 24.92640 24.14107 25.59955 25.26297 25.09469 
##    14817    14818    14819    14820    14821    14822    14823    14824 
## 25.48736 25.20688 25.65564 26.04831 24.75812 25.20688 24.92640 25.37517 
##    14825    14826    14827    14828    14829    14830    14831    14832 
## 25.15078 25.71174 25.48736 25.76783 24.81421 25.26297 24.92640 25.20688 
##    14833    14834    14835    14836    14837    14838    14839    14840 
## 24.64593 25.59955 24.87031 26.32879 25.71174 24.75812 25.43126 24.92640 
##    14841    14842    14843    14844    14845    14846    14847    14848 
## 25.65564 24.70202 25.59955 25.59955 25.20688 25.09469 25.43126 24.98250 
##    14849    14850    14851    14852    14853    14854    14855    14856 
## 25.65564 25.48736 25.15078 25.20688 25.03859 25.20688 24.92640 25.09469 
##    14857    14858    14859    14860    14861    14862    14863    14864 
## 25.20688 25.93612 25.37517 25.76783 25.09469 25.15078 24.92640 24.75812 
##    14865    14866    14867    14868    14869    14870    14871    14872 
## 26.10441 25.54345 25.09469 25.54345 25.09469 25.76783 25.48736 25.48736 
##    14873    14874    14875    14876    14877    14878    14879    14880 
## 25.03859 24.36545 25.54345 25.48736 25.88002 25.48736 25.48736 25.76783 
##    14881    14882    14883    14884    14885    14886    14887    14888 
## 25.93612 25.15078 24.87031 25.43126 25.93612 25.48736 25.03859 25.03859 
##    14889    14890    14891    14892    14893    14894    14895    14896 
## 24.75812 25.65564 25.59955 25.48736 25.59955 25.48736 25.37517 25.48736 
##    14897    14898    14899    14900    14901    14902    14903    14904 
## 25.65564 25.59955 24.64593 25.65564 24.87031 24.98250 24.64593 25.65564 
##    14905    14906    14907    14908    14909    14910    14911    14912 
## 25.20688 25.65564 25.54345 25.31907 24.75812 25.26297 25.20688 25.15078 
##    14913    14914    14915    14916    14917    14918    14919    14920 
## 25.43126 25.20688 25.71174 25.48736 24.92640 25.48736 24.92640 25.20688 
##    14921    14922    14923    14924    14925    14926    14927    14928 
## 25.20688 25.93612 25.03859 25.88002 24.75812 24.75812 25.20688 25.43126 
##    14929    14930    14931    14932    14933    14934    14935    14936 
## 25.54345 25.20688 25.54345 25.54345 25.31907 24.81421 26.04831 25.20688 
##    14937    14938    14939    14940    14941    14942    14943    14944 
## 25.03859 25.20688 25.71174 24.87031 25.99221 25.31907 25.99221 25.65564 
##    14945    14946    14947    14948    14949    14950    14951    14952 
## 25.65564 25.54345 24.92640 25.54345 24.64593 24.36545 24.92640 25.09469 
##    14953    14954    14955    14956    14957    14958    14959    14960 
## 25.54345 24.81421 25.54345 25.54345 24.87031 25.59955 25.20688 25.09469 
##    14961    14962    14963    14964    14965    14966    14967    14968 
## 24.81421 25.03859 25.65564 25.43126 25.37517 25.43126 24.92640 25.03859 
##    14969    14970    14971    14972    14973    14974    14975    14976 
## 25.37517 25.26297 25.71174 25.76783 25.20688 25.09469 25.31907 25.82393 
##    14977    14978    14979    14980    14981    14982    14983    14984 
## 24.70202 25.37517 25.54345 25.20688 26.10441 25.15078 25.31907 25.20688 
##    14985    14986    14987    14988    14989    14990    14991    14992 
## 25.65564 24.92640 25.37517 24.92640 24.81421 25.31907 26.10441 25.37517 
##    14993    14994    14995    14996    14997    14998    14999    15000 
## 25.54345 25.65564 25.82393 25.93612 25.15078 25.20688 25.20688 25.37517 
##    15001    15002    15003    15004    15005    15006    15007    15008 
## 25.65564 24.87031 25.03859 25.48736 25.20688 25.37517 25.76783 25.99221 
##    15009    15010    15011    15012    15013    15014    15015    15016 
## 25.09469 25.20688 24.98250 25.20688 24.53373 25.09469 24.42154 25.03859 
##    15017    15018    15019    15020    15021    15022    15023    15024 
## 24.98250 25.59955 25.03859 25.48736 25.20688 25.59955 26.04831 24.64593 
##    15025    15026    15027    15028    15029    15030    15031    15032 
## 26.04831 24.92640 25.09469 25.26297 25.20688 25.37517 25.82393 25.26297 
##    15033    15034    15035    15036    15037    15038    15039    15040 
## 24.58983 24.75812 25.20688 25.20688 25.03859 25.43126 25.48736 25.20688 
##    15041    15042    15043    15044    15045    15046    15047    15048 
## 25.03859 25.43126 24.87031 25.03859 25.31907 25.65564 24.92640 26.10441 
##    15049    15050    15051    15052    15053    15054    15055    15056 
## 24.64593 25.48736 25.48736 25.20688 25.37517 24.92640 26.10441 25.31907 
##    15057    15058    15059    15060    15061    15062    15063    15064 
## 25.76783 25.26297 25.48736 24.92640 25.48736 24.53373 25.03859 25.37517 
##    15065    15066    15067    15068    15069    15070    15071    15072 
## 25.82393 25.15078 25.43126 25.82393 25.03859 26.10441 24.98250 24.98250 
##    15073    15074    15075    15076    15077    15078    15079    15080 
## 25.59955 25.15078 25.76783 24.81421 26.21660 25.48736 25.20688 25.09469 
##    15081    15082    15083    15084    15085    15086    15087    15088 
## 25.03859 25.31907 25.03859 25.65564 25.65564 25.43126 25.31907 25.37517 
##    15089    15090    15091    15092    15093    15094    15095    15096 
## 26.10441 25.09469 25.76783 24.64593 25.54345 25.09469 25.37517 25.03859 
##    15097    15098    15099    15100    15101    15102    15103    15104 
## 25.09469 24.64593 25.76783 25.43126 25.09469 25.20688 24.92640 25.54345 
##    15105    15106    15107    15108    15109    15110    15111    15112 
## 24.87031 25.20688 24.75812 25.15078 25.09469 25.20688 25.03859 24.81421 
##    15113    15114    15115    15116    15117    15118    15119    15120 
## 24.70202 25.26297 25.20688 25.54345 25.37517 24.58983 24.92640 25.09469 
##    15121    15122    15123    15124    15125    15126    15127    15128 
## 25.15078 24.81421 24.98250 25.09469 25.09469 25.20688 25.59955 25.71174 
##    15129    15130    15131    15132    15133    15134    15135    15136 
## 24.64593 25.15078 24.87031 25.93612 24.92640 24.92640 24.70202 25.03859 
##    15137    15138    15139    15140    15141    15142    15143    15144 
## 25.59955 25.82393 25.31907 25.82393 25.03859 25.31907 24.47764 25.09469 
##    15145    15146    15147    15148    15149    15150    15151    15152 
## 25.15078 24.70202 25.09469 24.98250 25.09469 25.48736 25.76783 25.37517 
##    15153    15154    15155    15156    15157    15158    15159    15160 
## 25.48736 25.09469 25.03859 25.43126 25.09469 25.43126 25.93612 25.20688 
##    15161    15162    15163    15164    15165    15166    15167    15168 
## 25.76783 25.54345 25.09469 24.64593 24.98250 25.43126 25.76783 25.31907 
##    15169    15170    15171    15172    15173    15174    15175    15176 
## 25.54345 25.82393 25.65564 25.31907 25.71174 25.54345 24.70202 25.54345 
##    15177    15178    15179    15180    15181    15182    15183    15184 
## 24.30935 25.99221 25.31907 25.09469 24.42154 24.75812 25.20688 25.93612 
##    15185    15186    15187    15188    15189    15190    15191    15192 
## 24.64593 25.37517 25.76783 24.64593 24.53373 25.09469 24.81421 25.26297 
##    15193    15194    15195    15196    15197    15198    15199    15200 
## 24.87031 25.48736 24.87031 24.98250 24.81421 24.92640 24.92640 25.31907 
##    15201    15202    15203    15204    15205    15206    15207    15208 
## 25.93612 25.54345 25.48736 24.98250 24.64593 25.54345 25.09469 25.15078 
##    15209    15210    15211    15212    15213    15214    15215    15216 
## 25.09469 25.93612 24.81421 25.09469 25.20688 25.09469 25.48736 25.20688 
##    15217    15218    15219    15220    15221    15222    15223    15224 
## 25.20688 25.09469 24.53373 24.75812 24.92640 25.20688 25.37517 25.26297 
##    15225    15226    15227    15228    15229    15230    15231    15232 
## 25.20688 25.54345 25.09469 25.03859 25.65564 25.20688 25.03859 25.15078 
##    15233    15234    15235    15236    15237    15238    15239    15240 
## 25.37517 25.15078 25.48736 24.87031 25.76783 25.09469 24.75812 25.48736 
##    15241    15242    15243    15244    15245    15246    15247    15248 
## 25.71174 24.92640 24.53373 24.92640 25.20688 25.59955 25.54345 25.26297 
##    15249    15250    15251    15252    15253    15254    15255    15256 
## 25.09469 25.54345 25.31907 25.65564 24.53373 25.37517 25.93612 25.59955 
##    15257    15258    15259    15260    15261    15262    15263    15264 
## 25.09469 26.10441 24.92640 25.03859 25.26297 25.71174 25.26297 24.92640 
##    15265    15266    15267    15268    15269    15270    15271    15272 
## 24.53373 25.37517 25.37517 25.26297 24.92640 25.26297 25.09469 25.93612 
##    15273    15274    15275    15276    15277    15278    15279    15280 
## 25.37517 25.48736 24.70202 25.65564 25.82393 24.75812 24.92640 24.92640 
##    15281    15282    15283    15284    15285    15286    15287    15288 
## 25.20688 25.88002 24.87031 25.09469 25.82393 25.43126 25.59955 24.53373 
##    15289    15290    15291    15292    15293    15294    15295    15296 
## 24.98250 25.37517 25.20688 25.76783 24.98250 25.09469 24.98250 25.43126 
##    15297    15298    15299    15300    15301    15302    15303    15304 
## 25.26297 24.36545 24.98250 24.64593 25.26297 24.64593 25.71174 25.20688 
##    15305    15306    15307    15308    15309    15310    15311    15312 
## 25.37517 24.92640 25.88002 25.37517 24.36545 25.59955 25.99221 24.92640 
##    15313    15314    15315    15316    15317    15318    15319    15320 
## 24.98250 24.92640 25.88002 24.53373 25.43126 25.31907 25.71174 25.26297 
##    15321    15322    15323    15324    15325    15326    15327    15328 
## 25.43126 25.20688 25.26297 24.70202 25.20688 24.81421 25.03859 25.65564 
##    15329    15330    15331    15332    15333    15334    15335    15336 
## 25.93612 25.15078 25.15078 25.37517 24.98250 25.03859 25.03859 24.81421 
##    15337    15338    15339    15340    15341    15342    15343    15344 
## 25.48736 24.87031 25.43126 24.64593 25.76783 25.09469 25.48736 25.26297 
##    15345    15346    15347    15348    15349    15350    15351    15352 
## 26.27269 25.65564 24.92640 24.92640 25.37517 25.65564 25.82393 25.20688 
##    15353    15354    15355    15356    15357    15358    15359    15360 
## 24.92640 24.64593 25.09469 25.31907 24.92640 25.37517 25.59955 26.10441 
##    15361    15362    15363    15364    15365    15366    15367    15368 
## 24.64593 24.81421 25.03859 25.31907 25.20688 24.81421 25.20688 24.98250 
##    15369    15370    15371    15372    15373    15374    15375    15376 
## 25.65564 25.03859 25.20688 25.48736 25.54345 25.15078 24.92640 25.09469 
##    15377    15378    15379    15380    15381    15382    15383    15384 
## 25.15078 25.09469 25.20688 25.09469 24.53373 25.15078 25.48736 24.81421 
##    15385    15386    15387    15388    15389    15390    15391    15392 
## 24.75812 25.48736 24.92640 24.42154 25.20688 25.20688 24.64593 24.92640 
##    15393    15394    15395    15396    15397    15398    15399    15400 
## 25.20688 25.15078 25.20688 25.59955 24.42154 25.43126 25.54345 24.81421 
##    15401    15402    15403    15404    15405    15406    15407    15408 
## 25.26297 25.31907 25.65564 25.65564 25.20688 24.81421 25.43126 25.54345 
##    15409    15410    15411    15412    15413    15414    15415    15416 
## 24.92640 24.87031 25.20688 24.92640 25.26297 25.03859 25.31907 25.76783 
##    15417    15418    15419    15420    15421    15422    15423    15424 
## 25.09469 25.09469 25.93612 25.20688 25.26297 25.54345 25.09469 25.26297 
##    15425    15426    15427    15428    15429    15430    15431    15432 
## 25.54345 25.03859 25.88002 25.20688 25.37517 24.53373 25.37517 25.76783 
##    15433    15434    15435    15436    15437    15438    15439    15440 
## 25.09469 24.87031 25.15078 24.75812 25.15078 24.81421 25.09469 25.09469 
##    15441    15442    15443    15444    15445    15446    15447    15448 
## 24.75812 25.09469 25.48736 25.37517 25.65564 25.37517 24.75812 25.65564 
##    15449    15450    15451    15452    15453    15454    15455    15456 
## 25.71174 25.20688 24.92640 25.65564 25.59955 25.15078 25.59955 25.43126 
##    15457    15458    15459    15460    15461    15462    15463    15464 
## 24.81421 24.87031 25.76783 24.81421 24.92640 24.75812 24.70202 25.48736 
##    15465    15466    15467    15468    15469    15470    15471    15472 
## 25.15078 25.03859 24.47764 25.43126 25.15078 26.21660 25.48736 25.76783 
##    15473    15474    15475    15476    15477    15478    15479    15480 
## 26.04831 25.20688 25.15078 25.48736 25.65564 25.09469 24.81421 24.64593 
##    15481    15482    15483    15484    15485    15486    15487    15488 
## 25.26297 25.31907 25.88002 25.20688 25.76783 25.03859 25.37517 25.59955 
##    15489    15490    15491    15492    15493    15494    15495    15496 
## 25.88002 25.26297 24.64593 24.98250 25.71174 24.87031 24.70202 25.59955 
##    15497    15498    15499    15500    15501    15502    15503    15504 
## 24.92640 25.20688 25.48736 25.82393 24.75812 24.53373 25.31907 26.04831 
##    15505    15506    15507    15508    15509    15510    15511    15512 
## 24.87031 25.20688 25.20688 25.37517 25.54345 25.20688 25.99221 25.15078 
##    15513    15514    15515    15516    15517    15518    15519    15520 
## 25.54345 25.20688 24.98250 25.03859 25.48736 25.15078 25.76783 25.20688 
##    15521    15522    15523    15524    15525    15526    15527    15528 
## 24.98250 24.92640 25.65564 24.64593 25.71174 24.75812 25.20688 24.64593 
##    15529    15530    15531    15532    15533    15534    15535    15536 
## 24.98250 25.09469 25.76783 25.09469 25.76783 25.54345 25.76783 25.43126 
##    15537    15538    15539    15540    15541    15542    15543    15544 
## 25.65564 24.92640 25.09469 24.81421 25.65564 24.70202 25.88002 25.31907 
##    15545    15546    15547    15548    15549    15550    15551    15552 
## 25.03859 25.59955 24.75812 26.10441 25.15078 25.03859 24.64593 25.20688 
##    15553    15554    15555    15556    15557    15558    15559    15560 
## 25.26297 25.20688 25.65564 25.20688 25.37517 25.09469 25.76783 25.65564 
##    15561    15562    15563    15564    15565    15566    15567    15568 
## 25.82393 25.09469 25.09469 25.76783 24.92640 25.09469 24.92640 25.15078 
##    15569    15570    15571    15572    15573    15574    15575    15576 
## 25.37517 24.98250 24.98250 25.26297 24.75812 24.42154 24.98250 25.48736 
##    15577    15578    15579    15580    15581    15582    15583    15584 
## 25.88002 25.20688 25.20688 25.76783 25.20688 24.70202 25.48736 25.20688 
##    15585    15586    15587    15588    15589    15590    15591    15592 
## 24.92640 25.65564 25.48736 25.09469 25.37517 25.43126 25.20688 25.09469 
##    15593    15594    15595    15596    15597    15598    15599    15600 
## 25.37517 24.81421 25.26297 24.70202 25.59955 25.09469 25.43126 24.70202 
##    15601    15602    15603    15604    15605    15606    15607    15608 
## 25.48736 25.48736 24.75812 25.37517 25.09469 25.20688 25.20688 24.87031 
##    15609    15610    15611    15612    15613    15614    15615    15616 
## 24.92640 24.81421 25.93612 25.37517 25.93612 25.09469 25.37517 25.99221 
##    15617    15618    15619    15620    15621    15622    15623    15624 
## 25.09469 24.58983 24.92640 25.48736 25.26297 25.54345 24.81421 26.04831 
##    15625    15626    15627    15628    15629    15630    15631    15632 
## 25.37517 25.15078 24.98250 25.20688 25.48736 25.09469 25.37517 25.15078 
##    15633    15634    15635    15636    15637    15638    15639    15640 
## 25.65564 25.88002 25.82393 26.21660 24.64593 25.15078 25.76783 25.37517 
##    15641    15642    15643    15644    15645    15646    15647    15648 
## 25.15078 25.26297 25.20688 26.04831 25.03859 25.15078 26.04831 25.31907 
##    15649    15650    15651    15652    15653    15654    15655    15656 
## 25.48736 24.98250 25.54345 25.48736 25.99221 26.10441 25.48736 25.15078 
##    15657    15658    15659    15660    15661    15662    15663    15664 
## 25.65564 25.09469 25.37517 25.65564 24.87031 25.20688 25.26297 24.92640 
##    15665    15666    15667    15668    15669    15670    15671    15672 
## 25.31907 24.81421 25.09469 25.48736 25.48736 25.09469 24.81421 25.82393 
##    15673    15674    15675    15676    15677    15678    15679    15680 
## 24.36545 25.26297 25.59955 25.31907 25.43126 25.26297 25.37517 25.82393 
##    15681    15682    15683    15684    15685    15686    15687    15688 
## 25.37517 24.36545 25.20688 25.48736 25.09469 25.26297 25.03859 25.59955 
##    15689    15690    15691    15692    15693    15694    15695    15696 
## 25.37517 25.20688 24.58983 25.59955 25.26297 25.48736 25.71174 24.81421 
##    15697    15698    15699    15700    15701    15702    15703    15704 
## 25.93612 25.48736 25.09469 26.04831 24.92640 25.43126 25.76783 24.47764 
##    15705    15706    15707    15708    15709    15710    15711    15712 
## 25.48736 25.65564 25.37517 25.71174 24.87031 25.37517 25.20688 25.48736 
##    15713    15714    15715    15716    15717    15718    15719    15720 
## 25.15078 24.98250 25.31907 25.26297 24.92640 25.15078 25.76783 25.20688 
##    15721    15722    15723    15724    15725    15726    15727    15728 
## 25.37517 25.48736 25.37517 25.99221 25.43126 25.26297 24.81421 25.09469 
##    15729    15730    15731    15732    15733    15734    15735    15736 
## 25.26297 26.32879 25.82393 25.37517 24.75812 24.70202 24.81421 24.87031 
##    15737    15738    15739    15740    15741    15742    15743    15744 
## 25.59955 25.93612 25.31907 25.31907 25.54345 24.81421 25.88002 25.09469 
##    15745    15746    15747    15748    15749    15750    15751    15752 
## 25.65564 25.76783 25.37517 25.20688 25.20688 25.71174 25.82393 24.92640 
##    15753    15754    15755    15756    15757    15758    15759    15760 
## 25.37517 25.48736 25.65564 25.09469 25.65564 25.48736 25.48736 24.75812 
##    15761    15762    15763    15764    15765    15766    15767    15768 
## 24.92640 25.31907 25.03859 25.54345 25.15078 25.15078 24.81421 24.92640 
##    15769    15770    15771    15772    15773    15774    15775    15776 
## 24.87031 25.03859 25.09469 25.26297 25.43126 24.92640 25.37517 25.20688 
##    15777    15778    15779    15780    15781    15782    15783    15784 
## 25.37517 25.48736 24.87031 25.43126 25.37517 25.54345 24.98250 25.37517 
##    15785    15786    15787    15788    15789    15790    15791    15792 
## 24.81421 25.03859 25.82393 26.04831 25.65564 25.76783 25.82393 25.48736 
##    15793    15794    15795    15796    15797    15798    15799    15800 
## 24.92640 24.98250 26.10441 25.65564 25.20688 25.09469 24.92640 25.20688 
##    15801    15802    15803    15804    15805    15806    15807    15808 
## 25.31907 25.20688 24.81421 25.20688 24.70202 26.38488 25.88002 25.99221 
##    15809    15810    15811    15812    15813    15814    15815    15816 
## 25.26297 25.37517 25.99221 25.37517 25.71174 25.65564 25.37517 25.65564 
##    15817    15818    15819    15820    15821    15822    15823    15824 
## 25.82393 24.53373 25.76783 25.82393 25.65564 24.92640 25.20688 25.43126 
##    15825    15826    15827    15828    15829    15830    15831    15832 
## 25.37517 25.65564 24.70202 25.59955 24.64593 24.98250 24.98250 25.43126 
##    15833    15834    15835    15836    15837    15838    15839    15840 
## 25.15078 25.37517 26.27269 25.09469 25.37517 24.98250 24.64593 25.31907 
##    15841    15842    15843    15844    15845    15846    15847    15848 
## 25.31907 25.09469 25.59955 25.48736 25.03859 25.48736 25.26297 25.26297 
##    15849    15850    15851    15852    15853    15854    15855    15856 
## 25.09469 25.09469 25.09469 25.48736 25.93612 25.15078 25.59955 24.98250 
##    15857    15858    15859    15860    15861    15862    15863    15864 
## 25.26297 25.15078 25.37517 25.48736 25.88002 25.54345 25.54345 25.09469 
##    15865    15866    15867    15868    15869    15870    15871    15872 
## 25.15078 25.26297 25.54345 25.20688 25.31907 25.26297 25.31907 24.70202 
##    15873    15874    15875    15876    15877    15878    15879    15880 
## 25.59955 25.20688 25.59955 25.48736 24.70202 25.09469 24.02888 25.88002 
##    15881    15882    15883    15884    15885    15886    15887    15888 
## 25.26297 25.76783 25.20688 25.20688 25.09469 25.99221 24.92640 24.64593 
##    15889    15890    15891    15892    15893    15894    15895    15896 
## 24.81421 24.81421 25.26297 25.43126 24.87031 25.65564 25.09469 25.48736 
##    15897    15898    15899    15900    15901    15902    15903    15904 
## 25.37517 25.09469 25.03859 25.43126 25.15078 25.09469 25.48736 25.03859 
##    15905    15906    15907    15908    15909    15910    15911    15912 
## 25.71174 25.20688 25.93612 24.70202 25.15078 24.98250 24.58983 24.92640 
##    15913    15914    15915    15916    15917    15918    15919    15920 
## 24.92640 24.81421 25.37517 25.31907 25.09469 25.71174 25.54345 25.48736 
##    15921    15922    15923    15924    15925    15926    15927    15928 
## 25.82393 24.92640 25.76783 25.76783 25.20688 24.92640 24.75812 25.54345 
##    15929    15930    15931    15932    15933    15934    15935    15936 
## 25.20688 24.92640 25.20688 24.70202 25.09469 24.92640 25.03859 24.64593 
##    15937    15938    15939    15940    15941    15942    15943    15944 
## 25.09469 25.54345 24.75812 25.54345 25.76783 25.59955 25.37517 25.43126 
##    15945    15946    15947    15948    15949    15950    15951    15952 
## 25.43126 24.87031 25.20688 24.92640 25.54345 25.20688 25.43126 25.31907 
##    15953    15954    15955    15956    15957    15958    15959    15960 
## 25.48736 25.20688 25.71174 25.48736 25.20688 25.26297 25.20688 25.20688 
##    15961    15962    15963    15964    15965    15966    15967    15968 
## 24.42154 25.20688 25.15078 24.42154 25.43126 25.48736 25.20688 25.48736 
##    15969    15970    15971    15972    15973    15974    15975    15976 
## 25.15078 25.15078 25.03859 25.03859 25.09469 24.92640 25.76783 24.92640 
##    15977    15978    15979    15980    15981    15982    15983    15984 
## 25.31907 25.48736 24.98250 24.98250 25.26297 25.09469 25.37517 25.43126 
##    15985    15986    15987    15988    15989    15990    15991    15992 
## 25.82393 25.99221 24.87031 25.65564 25.20688 25.20688 25.43126 25.59955 
##    15993    15994    15995    15996    15997    15998    15999    16000 
## 25.37517 25.82393 25.20688 26.16050 25.03859 25.31907 25.37517 25.37517 
##    16001    16002    16003    16004    16005    16006    16007    16008 
## 25.54345 25.59955 25.09469 25.76783 25.20688 25.09469 25.09469 25.09469 
##    16009    16010    16011    16012    16013    16014    16015    16016 
## 25.48736 24.92640 25.65564 24.58983 25.82393 25.65564 25.09469 24.87031 
##    16017    16018    16019    16020    16021    16022    16023    16024 
## 25.20688 25.03859 24.75812 25.65564 24.98250 25.31907 25.20688 24.75812 
##    16025    16026    16027    16028    16029    16030    16031    16032 
## 25.43126 26.04831 25.26297 24.98250 25.09469 25.65564 24.98250 24.36545 
##    16033    16034    16035    16036    16037    16038    16039    16040 
## 25.31907 24.58983 25.65564 25.93612 25.48736 24.92640 24.87031 25.03859 
##    16041    16042    16043    16044    16045    16046    16047    16048 
## 25.20688 25.54345 25.65564 25.03859 25.09469 24.81421 24.92640 25.48736 
##    16049    16050    16051    16052    16053    16054    16055    16056 
## 25.93612 25.59955 25.59955 25.09469 25.09469 25.09469 24.70202 25.48736 
##    16057    16058    16059    16060    16061    16062    16063    16064 
## 25.43126 25.93612 25.59955 25.65564 25.65564 25.37517 25.48736 24.81421 
##    16065    16066    16067    16068    16069    16070    16071    16072 
## 25.43126 25.15078 24.58983 24.98250 24.75812 24.75812 25.71174 25.09469 
##    16073    16074    16075    16076    16077    16078    16079    16080 
## 25.59955 25.37517 25.20688 24.98250 25.59955 25.65564 25.37517 24.64593 
##    16081    16082    16083    16084    16085    16086    16087    16088 
## 24.70202 24.92640 24.70202 25.03859 26.04831 24.64593 25.20688 24.92640 
##    16089    16090    16091    16092    16093    16094    16095    16096 
## 25.37517 26.10441 25.37517 25.20688 24.87031 25.09469 24.92640 25.48736 
##    16097    16098    16099    16100    16101    16102    16103    16104 
## 25.09469 25.65564 25.82393 25.20688 25.43126 25.20688 25.93612 25.43126 
##    16105    16106    16107    16108    16109    16110    16111    16112 
## 25.48736 25.03859 25.65564 24.70202 24.98250 24.81421 24.98250 24.87031 
##    16113    16114    16115    16116    16117    16118    16119    16120 
## 25.09469 25.99221 25.09469 25.37517 25.15078 24.58983 24.98250 25.03859 
##    16121    16122    16123    16124    16125    16126    16127    16128 
## 25.37517 24.87031 25.26297 25.31907 25.03859 24.58983 24.81421 25.09469 
##    16129    16130    16131    16132    16133    16134    16135    16136 
## 25.93612 25.43126 25.93612 25.54345 25.15078 25.26297 25.03859 25.37517 
##    16137    16138    16139    16140    16141    16142    16143    16144 
## 26.04831 25.99221 24.92640 25.65564 25.54345 24.92640 25.48736 24.36545 
##    16145    16146    16147    16148    16149    16150    16151    16152 
## 25.88002 24.81421 25.03859 25.20688 24.64593 25.54345 25.20688 24.98250 
##    16153    16154    16155    16156    16157    16158    16159    16160 
## 25.54345 25.37517 24.98250 24.98250 24.75812 25.37517 25.48736 25.31907 
##    16161    16162    16163    16164    16165    16166    16167    16168 
## 24.53373 25.82393 25.48736 25.54345 25.31907 25.09469 25.88002 25.20688 
##    16169    16170    16171    16172    16173    16174    16175    16176 
## 25.20688 25.76783 25.20688 25.88002 24.70202 26.21660 25.48736 25.20688 
##    16177    16178    16179    16180    16181    16182    16183    16184 
## 25.65564 24.81421 25.15078 25.59955 25.09469 25.48736 25.20688 25.99221 
##    16185    16186    16187    16188    16189    16190    16191    16192 
## 26.16050 25.09469 24.92640 25.93612 25.54345 25.09469 25.15078 25.65564 
##    16193    16194    16195    16196    16197    16198    16199    16200 
## 24.53373 25.31907 24.64593 25.31907 25.31907 24.92640 25.59955 25.26297 
##    16201    16202    16203    16204    16205    16206    16207    16208 
## 26.04831 24.36545 25.54345 25.37517 25.82393 25.54345 25.59955 25.09469 
##    16209    16210    16211    16212    16213    16214    16215    16216 
## 25.20688 24.70202 25.20688 25.48736 25.03859 25.37517 25.59955 25.88002 
##    16217    16218    16219    16220    16221    16222    16223    16224 
## 25.88002 25.65564 26.10441 25.88002 25.71174 25.48736 25.20688 25.43126 
##    16225    16226    16227    16228    16229    16230    16231    16232 
## 25.09469 24.81421 25.43126 25.09469 24.75812 25.37517 25.20688 25.93612 
##    16233    16234    16235    16236    16237    16238    16239    16240 
## 24.75812 25.48736 26.21660 25.09469 25.20688 25.65564 25.09469 25.65564 
##    16241    16242    16243    16244    16245    16246    16247    16248 
## 25.20688 24.64593 25.09469 26.04831 25.31907 24.87031 25.48736 25.09469 
##    16249    16250    16251    16252    16253    16254    16255    16256 
## 24.87031 25.82393 25.26297 25.65564 25.31907 25.31907 25.09469 25.59955 
##    16257    16258    16259    16260    16261    16262    16263    16264 
## 25.31907 24.87031 25.99221 24.87031 25.93612 25.48736 25.71174 25.03859 
##    16265    16266    16267    16268    16269    16270    16271    16272 
## 25.43126 25.20688 24.87031 24.81421 24.19716 25.26297 25.76783 24.92640 
##    16273    16274    16275    16276    16277    16278    16279    16280 
## 25.82393 26.10441 25.37517 25.48736 25.31907 25.48736 24.53373 25.71174 
##    16281    16282    16283    16284    16285    16286    16287    16288 
## 24.98250 25.37517 25.20688 24.75812 25.43126 25.43126 24.98250 24.81421 
##    16289    16290    16291    16292    16293    16294    16295    16296 
## 24.98250 25.54345 24.92640 25.48736 25.20688 25.20688 25.48736 25.65564 
##    16297    16298    16299    16300    16301    16302    16303    16304 
## 25.76783 25.48736 24.42154 24.98250 24.47764 26.10441 25.03859 25.71174 
##    16305    16306    16307    16308    16309    16310    16311    16312 
## 24.75812 24.53373 24.87031 25.43126 25.20688 25.26297 25.93612 25.37517 
##    16313    16314    16315    16316    16317    16318    16319    16320 
## 25.48736 25.37517 25.20688 25.54345 25.03859 25.15078 25.65564 24.81421 
##    16321    16322    16323    16324    16325    16326    16327    16328 
## 25.37517 25.15078 25.76783 25.59955 25.88002 24.81421 25.20688 25.37517 
##    16329    16330    16331    16332    16333    16334    16335    16336 
## 25.48736 25.15078 25.09469 24.98250 25.59955 25.71174 25.31907 25.59955 
##    16337    16338    16339    16340    16341    16342    16343    16344 
## 25.48736 25.31907 24.75812 25.20688 24.81421 25.93612 25.54345 25.31907 
##    16345    16346    16347    16348    16349    16350    16351    16352 
## 25.54345 24.92640 25.48736 25.31907 25.26297 25.54345 25.26297 24.64593 
##    16353    16354    16355    16356    16357    16358    16359    16360 
## 24.81421 25.15078 25.26297 24.92640 24.98250 24.36545 25.20688 25.20688 
##    16361    16362    16363    16364    16365    16366    16367    16368 
## 24.92640 25.76783 25.43126 25.31907 24.92640 25.09469 25.37517 25.37517 
##    16369    16370    16371    16372    16373    16374    16375    16376 
## 25.15078 25.48736 25.48736 25.37517 25.65564 25.20688 24.92640 24.53373 
##    16377    16378    16379    16380    16381    16382    16383    16384 
## 24.64593 25.48736 24.92640 25.15078 25.54345 25.37517 24.92640 25.37517 
##    16385    16386    16387    16388    16389    16390    16391    16392 
## 25.31907 25.54345 25.82393 25.82393 24.53373 25.20688 24.81421 25.20688 
##    16393    16394    16395    16396    16397    16398    16399    16400 
## 24.53373 25.48736 25.20688 25.88002 24.81421 25.43126 24.81421 24.81421 
##    16401    16402    16403    16404    16405    16406    16407    16408 
## 25.31907 25.26297 25.88002 25.59955 25.26297 25.03859 24.19716 25.37517 
##    16409    16410    16411    16412    16413    16414    16415    16416 
## 25.31907 24.36545 24.81421 25.09469 24.58983 25.71174 25.03859 25.20688 
##    16417    16418    16419    16420    16421    16422    16423    16424 
## 24.70202 25.03859 25.09469 25.20688 25.82393 25.43126 25.76783 25.31907 
##    16425    16426    16427    16428    16429    16430    16431    16432 
## 25.76783 25.15078 25.37517 25.09469 25.48736 25.15078 25.20688 25.37517 
##    16433    16434    16435    16436    16437    16438    16439    16440 
## 25.37517 25.20688 25.20688 25.88002 25.65564 25.82393 25.48736 24.53373 
##    16441    16442    16443    16444    16445    16446    16447    16448 
## 25.03859 25.48736 25.54345 24.87031 24.42154 25.26297 24.87031 25.15078 
##    16449    16450    16451    16452    16453    16454    16455    16456 
## 25.03859 24.81421 24.92640 25.65564 25.37517 25.48736 25.48736 25.48736 
##    16457    16458    16459    16460    16461    16462    16463    16464 
## 25.43126 24.53373 25.76783 25.09469 24.81421 25.37517 24.81421 25.20688 
##    16465    16466    16467    16468    16469    16470    16471    16472 
## 25.03859 24.75812 25.26297 25.15078 25.31907 25.43126 24.81421 25.76783 
##    16473    16474    16475    16476    16477    16478    16479    16480 
## 25.93612 25.09469 25.43126 25.48736 26.04831 25.09469 24.81421 25.76783 
##    16481    16482    16483    16484    16485    16486    16487    16488 
## 24.87031 25.31907 25.48736 25.37517 24.81421 25.20688 25.54345 25.48736 
##    16489    16490    16491    16492    16493    16494    16495    16496 
## 25.20688 25.48736 24.64593 25.20688 24.25326 25.82393 25.48736 25.76783 
##    16497    16498    16499    16500    16501    16502    16503    16504 
## 24.64593 25.20688 25.37517 25.31907 25.59955 25.59955 24.87031 24.58983 
##    16505    16506    16507    16508    16509    16510    16511    16512 
## 25.03859 25.09469 25.59955 25.48736 24.92640 24.64593 25.54345 25.71174 
##    16513    16514    16515    16516    16517    16518    16519    16520 
## 25.59955 25.59955 25.43126 25.48736 24.53373 25.93612 25.48736 24.98250 
##    16521    16522    16523    16524    16525    16526    16527    16528 
## 24.81421 25.76783 25.54345 25.43126 25.54345 25.54345 24.87031 25.26297 
##    16529    16530    16531    16532    16533    16534    16535    16536 
## 25.03859 25.20688 24.70202 25.09469 24.87031 25.20688 25.20688 24.98250 
##    16537    16538    16539    16540    16541    16542    16543    16544 
## 25.26297 25.48736 25.59955 25.09469 25.31907 24.92640 25.65564 25.76783 
##    16545    16546    16547    16548    16549    16550    16551    16552 
## 25.09469 25.99221 25.09469 25.15078 24.53373 24.92640 25.54345 25.65564 
##    16553    16554    16555    16556    16557    16558    16559    16560 
## 24.75812 24.98250 25.48736 25.09469 25.59955 24.98250 25.43126 25.54345 
##    16561    16562    16563    16564    16565    16566    16567    16568 
## 25.54345 25.65564 25.37517 24.92640 25.37517 25.37517 25.15078 25.31907 
##    16569    16570    16571    16572    16573    16574    16575    16576 
## 24.87031 25.59955 25.26297 25.20688 25.09469 25.48736 25.37517 25.03859 
##    16577    16578    16579    16580    16581    16582    16583    16584 
## 25.26297 25.26297 25.65564 25.20688 25.59955 24.92640 25.31907 25.82393 
##    16585    16586    16587    16588    16589    16590    16591    16592 
## 25.71174 25.09469 25.93612 25.71174 25.65564 25.43126 24.98250 24.87031 
##    16593    16594    16595    16596    16597    16598    16599    16600 
## 25.43126 25.09469 25.20688 24.98250 25.71174 25.65564 25.03859 25.82393 
##    16601    16602    16603    16604    16605    16606    16607    16608 
## 25.88002 25.37517 25.09469 25.54345 24.64593 25.65564 25.65564 24.98250 
##    16609    16610    16611    16612    16613    16614    16615    16616 
## 25.31907 25.20688 25.43126 25.31907 24.92640 25.71174 24.92640 24.92640 
##    16617    16618    16619    16620    16621    16622    16623    16624 
## 25.48736 25.20688 25.48736 24.87031 25.48736 25.26297 24.92640 25.26297 
##    16625    16626    16627    16628    16629    16630    16631    16632 
## 24.87031 24.87031 25.03859 25.20688 25.09469 24.75812 25.71174 24.98250 
##    16633    16634    16635    16636    16637    16638    16639    16640 
## 25.20688 25.03859 26.04831 25.26297 25.15078 25.20688 24.98250 25.76783 
##    16641    16642    16643    16644    16645    16646    16647    16648 
## 24.92640 25.48736 24.98250 25.48736 25.20688 25.43126 25.93612 25.26297 
##    16649    16650    16651    16652    16653    16654    16655    16656 
## 25.20688 24.81421 25.76783 25.48736 24.98250 24.58983 25.37517 25.54345 
##    16657    16658    16659    16660    16661    16662    16663    16664 
## 24.87031 25.09469 25.26297 25.88002 26.10441 25.65564 25.09469 25.48736 
##    16665    16666    16667    16668    16669    16670    16671    16672 
## 24.25326 24.98250 25.37517 25.09469 25.93612 25.15078 25.59955 25.54345 
##    16673    16674    16675    16676    16677    16678    16679    16680 
## 24.98250 25.03859 25.09469 25.37517 24.98250 24.64593 25.20688 25.09469 
##    16681    16682    16683    16684    16685    16686    16687    16688 
## 25.54345 25.26297 25.37517 25.65564 25.37517 24.98250 25.26297 25.09469 
##    16689    16690    16691    16692    16693    16694    16695    16696 
## 25.65564 25.48736 25.20688 25.54345 24.98250 25.65564 25.37517 26.16050 
##    16697    16698    16699    16700    16701    16702    16703    16704 
## 25.15078 25.20688 25.93612 25.20688 25.71174 25.26297 25.26297 25.65564 
##    16705    16706    16707    16708    16709    16710    16711    16712 
## 25.59955 25.59955 25.54345 25.93612 25.20688 24.92640 24.92640 24.92640 
##    16713    16714    16715    16716    16717    16718    16719    16720 
## 25.48736 25.54345 25.03859 24.92640 25.59955 25.48736 25.43126 25.31907 
##    16721    16722    16723    16724    16725    16726    16727    16728 
## 25.48736 25.54345 25.37517 24.58983 25.26297 24.92640 25.09469 25.54345 
##    16729    16730    16731    16732    16733    16734    16735    16736 
## 24.92640 24.36545 25.37517 25.48736 24.98250 25.59955 25.54345 25.20688 
##    16737    16738    16739    16740    16741    16742    16743    16744 
## 25.26297 25.37517 24.75812 25.88002 24.92640 24.98250 25.31907 24.75812 
##    16745    16746    16747    16748    16749    16750    16751    16752 
## 25.99221 24.92640 25.37517 25.82393 24.53373 24.53373 25.59955 25.31907 
##    16753    16754    16755    16756    16757    16758    16759    16760 
## 25.31907 25.65564 25.54345 24.36545 25.03859 25.48736 24.36545 25.09469 
##    16761    16762    16763    16764    16765    16766    16767    16768 
## 25.26297 25.26297 25.48736 24.70202 24.53373 24.87031 24.81421 25.31907 
##    16769    16770    16771    16772    16773    16774    16775    16776 
## 25.20688 25.15078 25.65564 25.03859 25.76783 24.64593 25.09469 25.20688 
##    16777    16778    16779    16780    16781    16782    16783    16784 
## 25.03859 24.75812 24.47764 25.82393 25.09469 25.20688 25.09469 25.26297 
##    16785    16786    16787    16788    16789    16790    16791    16792 
## 25.03859 25.03859 25.43126 25.65564 25.03859 25.09469 25.20688 25.54345 
##    16793    16794    16795    16796    16797    16798    16799    16800 
## 25.20688 25.20688 25.37517 24.92640 25.37517 25.31907 25.31907 25.76783 
##    16801    16802    16803    16804    16805    16806    16807    16808 
## 24.70202 25.93612 25.09469 24.30935 25.09469 25.43126 24.58983 25.31907 
##    16809    16810    16811    16812    16813    16814    16815    16816 
## 24.58983 25.20688 24.53373 24.53373 25.43126 25.76783 25.09469 24.92640 
##    16817    16818    16819    16820    16821    16822    16823    16824 
## 24.53373 24.92640 25.43126 25.09469 25.09469 25.37517 25.15078 25.76783 
##    16825    16826    16827    16828    16829    16830    16831    16832 
## 25.76783 25.48736 24.98250 24.92640 25.09469 25.71174 24.87031 24.81421 
##    16833    16834    16835    16836    16837    16838    16839    16840 
## 24.70202 25.20688 25.43126 25.20688 25.26297 25.31907 25.37517 24.64593 
##    16841    16842    16843    16844    16845    16846    16847    16848 
## 25.93612 25.71174 25.20688 25.88002 24.92640 24.53373 24.98250 25.71174 
##    16849    16850    16851    16852    16853    16854    16855    16856 
## 25.37517 25.20688 25.48736 25.03859 24.92640 25.20688 25.09469 25.20688 
##    16857    16858    16859    16860    16861    16862    16863    16864 
## 25.71174 24.81421 25.09469 25.20688 24.81421 25.20688 25.20688 26.04831 
##    16865    16866    16867    16868    16869    16870    16871    16872 
## 25.37517 24.64593 24.92640 24.70202 25.43126 24.87031 25.09469 25.65564 
##    16873    16874    16875    16876    16877    16878    16879    16880 
## 25.09469 25.09469 25.59955 24.92640 25.20688 24.58983 25.54345 25.65564 
##    16881    16882    16883    16884    16885    16886    16887    16888 
## 25.37517 25.59955 24.53373 24.36545 25.48736 25.15078 25.48736 25.82393 
##    16889    16890    16891    16892    16893    16894    16895    16896 
## 25.37517 24.42154 25.26297 25.88002 25.48736 25.03859 25.48736 25.43126 
##    16897    16898    16899    16900    16901    16902    16903    16904 
## 24.81421 25.48736 25.76783 25.15078 25.43126 25.20688 25.48736 25.54345 
##    16905    16906    16907    16908    16909    16910    16911    16912 
## 25.43126 24.70202 25.20688 25.37517 25.37517 25.43126 25.71174 25.37517 
##    16913    16914    16915    16916    16917    16918    16919    16920 
## 25.71174 25.43126 25.59955 25.15078 25.59955 25.26297 25.15078 25.20688 
##    16921    16922    16923    16924    16925    16926    16927    16928 
## 25.82393 24.81421 25.48736 25.09469 24.87031 24.92640 24.92640 25.20688 
##    16929    16930    16931    16932    16933    16934    16935    16936 
## 25.20688 23.97278 25.76783 25.37517 25.20688 25.71174 24.81421 25.76783 
##    16937    16938    16939    16940    16941    16942    16943    16944 
## 25.59955 25.26297 24.98250 25.03859 24.92640 25.82393 25.37517 25.20688 
##    16945    16946    16947    16948    16949    16950    16951    16952 
## 24.92640 25.26297 25.15078 25.65564 25.88002 24.98250 25.59955 25.48736 
##    16953    16954    16955    16956    16957    16958    16959    16960 
## 25.31907 25.76783 25.37517 24.92640 25.76783 24.42154 24.98250 25.37517 
##    16961    16962    16963    16964    16965    16966    16967    16968 
## 24.81421 25.88002 25.20688 25.26297 25.93612 25.09469 24.92640 25.43126 
##    16969    16970    16971    16972    16973    16974    16975    16976 
## 24.53373 25.09469 25.03859 25.82393 24.98250 25.03859 25.88002 24.92640 
##    16977    16978    16979    16980    16981    16982    16983    16984 
## 25.93612 25.43126 25.65564 24.75812 25.03859 24.81421 25.59955 25.15078 
##    16985    16986    16987    16988    16989    16990    16991    16992 
## 25.88002 25.82393 24.98250 25.48736 24.98250 25.20688 24.98250 24.92640 
##    16993    16994    16995    16996    16997    16998    16999    17000 
## 25.82393 25.20688 25.65564 25.09469 25.26297 25.31907 25.26297 25.09469 
##    17001    17002    17003    17004    17005    17006    17007    17008 
## 24.75812 25.65564 25.48736 24.53373 25.48736 24.87031 25.37517 25.26297 
##    17009    17010    17011    17012    17013    17014    17015    17016 
## 26.04831 25.31907 25.26297 25.43126 25.99221 24.64593 25.20688 25.09469 
##    17017    17018    17019    17020    17021    17022    17023    17024 
## 24.81421 25.43126 25.20688 25.03859 24.81421 25.65564 24.30935 25.09469 
##    17025    17026    17027    17028    17029    17030    17031    17032 
## 25.37517 24.75812 25.48736 25.48736 25.82393 25.71174 24.64593 25.48736 
##    17033    17034    17035    17036    17037    17038    17039    17040 
## 25.31907 25.48736 25.59955 24.92640 25.03859 25.65564 25.93612 24.92640 
##    17041    17042    17043    17044    17045    17046    17047    17048 
## 25.65564 24.92640 24.70202 25.65564 25.65564 25.37517 25.65564 25.48736 
##    17049    17050    17051    17052    17053    17054    17055    17056 
## 25.20688 24.81421 25.37517 25.65564 25.37517 25.48736 25.31907 25.26297 
##    17057    17058    17059    17060    17061    17062    17063    17064 
## 25.09469 25.09469 25.37517 25.65564 25.48736 25.65564 24.75812 25.65564 
##    17065    17066    17067    17068    17069    17070    17071    17072 
## 25.31907 25.09469 25.26297 24.36545 24.75812 25.88002 25.15078 25.43126 
##    17073    17074    17075    17076    17077    17078    17079    17080 
## 25.54345 25.20688 24.98250 25.43126 25.48736 24.25326 24.36545 24.58983 
##    17081    17082    17083    17084    17085    17086    17087    17088 
## 24.75812 25.20688 24.92640 24.75812 25.93612 24.64593 25.20688 25.09469 
##    17089    17090    17091    17092    17093    17094    17095    17096 
## 25.20688 25.37517 24.75812 24.98250 25.37517 24.53373 24.92640 25.71174 
##    17097    17098    17099    17100    17101    17102    17103    17104 
## 25.20688 25.37517 25.26297 25.82393 25.65564 25.09469 24.64593 24.75812 
##    17105    17106    17107    17108    17109    17110    17111    17112 
## 24.92640 25.43126 25.26297 25.26297 25.20688 25.54345 24.70202 24.92640 
##    17113    17114    17115    17116    17117    17118    17119    17120 
## 24.81421 25.20688 24.75812 24.64593 25.54345 25.59955 24.81421 25.37517 
##    17121    17122    17123    17124    17125    17126    17127    17128 
## 24.70202 24.70202 25.09469 25.15078 25.15078 24.64593 25.03859 25.09469 
##    17129    17130    17131    17132    17133    17134    17135    17136 
## 24.92640 25.03859 24.92640 25.82393 25.37517 25.26297 24.75812 25.48736 
##    17137    17138    17139    17140    17141    17142    17143    17144 
## 24.92640 25.93612 24.58983 25.31907 25.82393 25.20688 25.71174 25.26297 
##    17145    17146    17147    17148    17149    17150    17151    17152 
## 25.99221 24.75812 25.20688 24.92640 25.37517 26.44098 24.70202 24.92640 
##    17153    17154    17155    17156    17157    17158    17159    17160 
## 25.48736 24.75812 25.20688 25.59955 24.30935 25.48736 25.65564 25.71174 
##    17161    17162    17163    17164    17165    17166    17167    17168 
## 25.54345 24.92640 25.03859 25.20688 25.09469 25.71174 25.09469 25.48736 
##    17169    17170    17171    17172    17173    17174    17175    17176 
## 25.15078 24.92640 25.09469 25.20688 24.92640 25.20688 24.81421 25.48736 
##    17177    17178    17179    17180    17181    17182    17183    17184 
## 24.81421 24.92640 24.98250 25.43126 24.64593 25.20688 25.43126 25.20688 
##    17185    17186    17187    17188    17189    17190    17191    17192 
## 25.09469 25.48736 24.87031 25.20688 24.81421 24.92640 25.37517 25.65564 
##    17193    17194    17195    17196    17197    17198    17199    17200 
## 25.48736 25.48736 26.10441 25.03859 24.70202 25.37517 25.37517 25.20688 
##    17201    17202    17203    17204    17205    17206    17207    17208 
## 25.09469 25.15078 24.75812 25.76783 25.09469 25.09469 25.93612 25.31907 
##    17209    17210    17211    17212    17213    17214    17215    17216 
## 25.48736 25.65564 25.59955 25.20688 25.99221 25.65564 25.09469 24.98250 
##    17217    17218    17219    17220    17221    17222    17223    17224 
## 25.31907 25.09469 24.98250 25.09469 25.09469 25.59955 25.93612 24.92640 
##    17225    17226    17227    17228    17229    17230    17231    17232 
## 25.15078 25.09469 24.92640 25.31907 24.92640 25.54345 25.48736 25.37517 
##    17233    17234    17235    17236    17237    17238    17239    17240 
## 24.92640 25.03859 25.76783 25.09469 25.09469 25.26297 25.54345 25.20688 
##    17241    17242    17243    17244    17245    17246    17247    17248 
## 25.82393 25.31907 24.87031 25.54345 25.43126 26.04831 25.20688 25.88002 
##    17249    17250    17251    17252    17253    17254    17255    17256 
## 25.26297 25.20688 24.64593 25.03859 25.26297 24.64593 25.15078 24.98250 
##    17257    17258    17259    17260    17261    17262    17263    17264 
## 25.20688 25.09469 25.48736 25.76783 25.71174 25.76783 25.20688 24.98250 
##    17265    17266    17267    17268    17269    17270    17271    17272 
## 24.92640 25.09469 24.98250 25.03859 24.75812 24.92640 25.20688 25.03859 
##    17273    17274    17275    17276    17277    17278    17279    17280 
## 25.20688 25.31907 25.31907 24.81421 24.75812 24.98250 25.37517 25.93612 
##    17281    17282    17283    17284    17285    17286    17287    17288 
## 26.10441 25.65564 25.76783 25.31907 24.64593 24.58983 25.20688 25.71174 
##    17289    17290    17291    17292    17293    17294    17295    17296 
## 24.64593 25.65564 25.31907 24.70202 24.87031 25.48736 25.43126 25.20688 
##    17297    17298    17299    17300    17301    17302    17303    17304 
## 25.65564 25.48736 25.48736 25.31907 25.20688 25.20688 24.87031 25.43126 
##    17305    17306    17307    17308    17309    17310    17311    17312 
## 25.15078 24.87031 25.03859 25.09469 25.48736 25.71174 25.03859 25.09469 
##    17313    17314    17315    17316    17317    17318    17319    17320 
## 25.37517 24.53373 25.82393 25.03859 24.92640 25.54345 25.37517 25.37517 
##    17321    17322    17323    17324    17325    17326    17327    17328 
## 25.65564 25.43126 25.48736 25.26297 24.98250 25.26297 25.31907 25.20688 
##    17329    17330    17331    17332    17333    17334    17335    17336 
## 25.37517 24.81421 25.20688 25.65564 25.03859 24.87031 25.43126 25.37517 
##    17337    17338    17339    17340    17341    17342    17343    17344 
## 25.43126 25.88002 25.31907 25.76783 25.26297 25.48736 25.37517 25.88002 
##    17345    17346    17347    17348    17349    17350    17351    17352 
## 25.37517 25.20688 25.48736 25.48736 25.43126 25.76783 25.88002 24.53373 
##    17353    17354    17355    17356    17357    17358    17359    17360 
## 24.92640 25.09469 25.59955 25.20688 25.15078 25.15078 24.64593 24.75812 
##    17361    17362    17363    17364    17365    17366    17367    17368 
## 25.03859 25.48736 25.54345 25.09469 25.48736 26.49707 25.88002 25.20688 
##    17369    17370    17371    17372    17373    17374    17375    17376 
## 24.92640 25.09469 25.88002 25.48736 25.43126 25.48736 25.20688 25.31907 
##    17377    17378    17379    17380    17381    17382    17383    17384 
## 25.43126 25.15078 25.26297 25.59955 25.26297 24.64593 25.65564 24.87031 
##    17385    17386    17387    17388    17389    17390    17391    17392 
## 25.59955 25.09469 25.09469 24.81421 25.03859 25.20688 24.87031 25.20688 
##    17393    17394    17395    17396    17397    17398    17399    17400 
## 25.37517 25.88002 24.87031 25.65564 25.20688 25.43126 24.81421 24.64593 
##    17401    17402    17403    17404    17405    17406    17407    17408 
## 24.98250 25.54345 25.99221 25.09469 25.65564 25.43126 24.64593 25.71174 
##    17409    17410    17411    17412    17413    17414    17415    17416 
## 25.15078 24.92640 25.09469 24.98250 25.48736 25.31907 25.20688 25.09469 
##    17417    17418    17419    17420    17421    17422    17423    17424 
## 25.82393 24.92640 25.48736 25.09469 25.03859 24.75812 25.76783 25.20688 
##    17425    17426    17427    17428    17429    17430    17431    17432 
## 25.31907 25.54345 25.37517 24.64593 25.54345 25.65564 25.20688 24.92640 
##    17433    17434    17435    17436    17437    17438    17439    17440 
## 24.92640 25.59955 24.81421 24.92640 25.26297 25.09469 25.31907 25.43126 
##    17441    17442    17443    17444    17445    17446    17447    17448 
## 24.64593 24.92640 24.92640 24.92640 26.32879 25.26297 24.92640 25.20688 
##    17449    17450    17451    17452    17453    17454    17455    17456 
## 25.54345 25.20688 24.92640 25.48736 25.43126 25.20688 24.64593 25.09469 
##    17457    17458    17459    17460    17461    17462    17463    17464 
## 25.59955 25.48736 25.43126 25.48736 25.65564 24.64593 25.26297 24.92640 
##    17465    17466    17467    17468    17469    17470    17471    17472 
## 25.09469 25.37517 25.71174 24.36545 25.26297 25.37517 25.26297 25.20688 
##    17473    17474    17475    17476    17477    17478    17479    17480 
## 25.48736 24.42154 24.92640 25.48736 25.65564 25.65564 25.54345 25.48736 
##    17481    17482    17483    17484    17485    17486    17487    17488 
## 25.88002 25.43126 25.03859 25.20688 24.87031 24.64593 25.37517 24.81421 
##    17489    17490    17491    17492    17493    17494    17495    17496 
## 25.03859 24.92640 24.92640 25.99221 25.71174 25.20688 25.48736 25.43126 
##    17497    17498    17499    17500    17501    17502    17503    17504 
## 25.09469 25.71174 25.03859 25.31907 24.87031 25.20688 25.15078 25.43126 
##    17505    17506    17507    17508    17509    17510    17511    17512 
## 25.20688 25.37517 25.54345 24.75812 24.92640 24.92640 25.71174 24.47764 
##    17513    17514    17515    17516    17517    17518    17519    17520 
## 25.43126 24.47764 25.59955 25.15078 25.43126 24.64593 24.75812 24.87031 
##    17521    17522    17523    17524    17525    17526    17527    17528 
## 24.98250 25.09469 25.09469 25.31907 25.59955 25.76783 25.54345 25.26297 
##    17529    17530    17531    17532    17533    17534    17535    17536 
## 25.48736 25.48736 25.20688 25.99221 25.09469 24.64593 24.75812 25.20688 
##    17537    17538    17539    17540    17541    17542    17543    17544 
## 24.81421 25.43126 25.26297 25.09469 25.93612 25.09469 25.76783 24.58983 
##    17545    17546    17547    17548    17549    17550    17551    17552 
## 25.03859 25.48736 24.92640 25.54345 25.48736 24.98250 24.47764 25.15078 
##    17553    17554    17555    17556    17557    17558    17559    17560 
## 25.59955 25.93612 25.15078 25.03859 25.65564 25.43126 24.92640 25.31907 
##    17561    17562    17563    17564    17565    17566    17567    17568 
## 25.09469 25.43126 25.26297 26.27269 24.81421 25.37517 24.64593 25.09469 
##    17569    17570    17571    17572    17573    17574    17575    17576 
## 25.20688 24.64593 25.65564 25.65564 25.65564 25.59955 25.31907 24.53373 
##    17577    17578    17579    17580    17581    17582    17583    17584 
## 24.75812 25.48736 25.20688 25.15078 24.64593 25.20688 25.37517 25.48736 
##    17585    17586    17587    17588    17589    17590    17591    17592 
## 25.71174 25.20688 25.48736 24.19716 25.88002 24.92640 24.81421 24.75812 
##    17593    17594    17595    17596    17597    17598    17599    17600 
## 25.09469 24.70202 25.54345 25.20688 25.93612 25.20688 25.93612 25.48736 
##    17601    17602    17603    17604    17605    17606    17607    17608 
## 25.99221 25.54345 25.31907 24.92640 25.26297 24.53373 25.20688 25.09469 
##    17609    17610    17611    17612    17613    17614    17615    17616 
## 24.92640 24.87031 26.16050 25.48736 24.64593 25.15078 25.93612 24.58983 
##    17617    17618    17619    17620    17621    17622    17623    17624 
## 25.37517 25.03859 25.03859 25.48736 25.37517 25.48736 25.43126 25.09469 
##    17625    17626    17627    17628    17629    17630    17631    17632 
## 25.48736 24.92640 24.98250 25.15078 25.82393 25.09469 25.82393 25.20688 
##    17633    17634    17635    17636    17637    17638    17639    17640 
## 24.92640 24.64593 24.92640 25.20688 24.81421 25.15078 24.92640 24.92640 
##    17641    17642    17643    17644    17645    17646    17647    17648 
## 25.65564 25.43126 25.65564 24.75812 24.70202 24.98250 25.54345 25.37517 
##    17649    17650    17651    17652    17653    17654    17655    17656 
## 25.37517 25.20688 25.09469 25.09469 25.37517 24.92640 25.88002 25.82393 
##    17657    17658    17659    17660    17661    17662    17663    17664 
## 25.71174 25.54345 25.54345 24.92640 24.87031 24.58983 25.20688 25.31907 
##    17665    17666    17667    17668    17669    17670    17671    17672 
## 25.48736 25.31907 24.64593 25.09469 25.76783 25.71174 25.03859 25.20688 
##    17673    17674    17675    17676    17677    17678    17679    17680 
## 25.09469 25.20688 25.31907 25.71174 25.03859 25.88002 24.81421 25.82393 
##    17681    17682    17683    17684    17685    17686    17687    17688 
## 24.58983 24.75812 25.03859 25.15078 25.37517 24.98250 25.65564 24.92640 
##    17689    17690    17691    17692    17693    17694    17695    17696 
## 25.20688 25.59955 25.09469 24.92640 25.03859 25.15078 24.98250 24.92640 
##    17697    17698    17699    17700    17701    17702    17703    17704 
## 25.65564 25.59955 25.76783 24.75812 25.09469 25.48736 25.48736 25.20688 
##    17705    17706    17707    17708    17709    17710    17711    17712 
## 24.87031 25.48736 25.37517 24.75812 24.98250 25.43126 24.87031 25.65564 
##    17713    17714    17715    17716    17717    17718    17719    17720 
## 25.54345 25.37517 25.09469 25.76783 24.75812 25.43126 25.59955 24.98250 
##    17721    17722    17723    17724    17725    17726    17727    17728 
## 25.65564 24.81421 25.43126 24.92640 25.03859 25.20688 25.48736 25.48736 
##    17729    17730    17731    17732    17733    17734    17735    17736 
## 25.43126 24.92640 26.04831 25.09469 25.37517 25.65564 25.76783 24.92640 
##    17737    17738    17739    17740    17741    17742    17743    17744 
## 25.71174 25.48736 25.20688 25.37517 25.09469 24.75812 24.98250 25.59955 
##    17745    17746    17747    17748    17749    17750    17751    17752 
## 25.20688 25.37517 25.20688 25.09469 25.20688 25.09469 26.04831 24.64593 
##    17753    17754    17755    17756    17757    17758    17759    17760 
## 25.20688 24.58983 25.43126 24.87031 25.37517 24.92640 25.93612 25.15078 
##    17761    17762    17763    17764    17765    17766    17767    17768 
## 24.87031 25.82393 25.09469 25.54345 25.26297 24.92640 25.65564 25.43126 
##    17769    17770    17771    17772    17773    17774    17775    17776 
## 25.20688 26.10441 25.20688 25.43126 25.88002 25.26297 24.92640 25.54345 
##    17777    17778    17779    17780    17781    17782    17783    17784 
## 25.43126 25.09469 25.15078 25.59955 24.92640 25.31907 24.92640 25.37517 
##    17785    17786    17787    17788    17789    17790    17791    17792 
## 25.20688 25.54345 25.59955 25.26297 25.37517 25.20688 25.54345 25.20688 
##    17793    17794    17795    17796    17797    17798    17799    17800 
## 24.81421 25.93612 25.54345 25.37517 25.31907 25.03859 25.09469 25.37517 
##    17801    17802    17803    17804    17805    17806    17807    17808 
## 25.37517 25.43126 25.48736 25.26297 25.48736 25.48736 25.71174 25.09469 
##    17809    17810    17811    17812    17813    17814    17815    17816 
## 25.43126 25.09469 25.26297 25.37517 25.09469 25.43126 24.92640 25.48736 
##    17817    17818    17819    17820    17821    17822    17823    17824 
## 25.43126 24.47764 25.20688 24.75812 26.10441 25.03859 25.09469 25.09469 
##    17825    17826    17827    17828    17829    17830    17831    17832 
## 25.09469 25.31907 25.09469 24.98250 25.37517 25.59955 25.48736 24.92640 
##    17833    17834    17835    17836    17837    17838    17839    17840 
## 25.82393 24.75812 25.31907 24.47764 24.87031 25.15078 25.26297 25.09469 
##    17841    17842    17843    17844    17845    17846    17847    17848 
## 25.26297 25.76783 25.20688 25.48736 24.87031 25.20688 25.48736 25.59955 
##    17849    17850    17851    17852    17853    17854    17855    17856 
## 25.82393 24.92640 25.59955 25.99221 25.20688 25.15078 25.71174 25.03859 
##    17857    17858    17859    17860    17861    17862    17863    17864 
## 25.65564 25.09469 25.26297 25.76783 25.76783 25.43126 25.65564 25.54345 
##    17865    17866    17867    17868    17869    17870    17871    17872 
## 25.09469 24.47764 25.20688 25.37517 25.37517 25.09469 25.09469 24.92640 
##    17873    17874    17875    17876    17877    17878    17879    17880 
## 25.03859 25.20688 25.20688 25.31907 25.82393 24.92640 25.20688 24.53373 
##    17881    17882    17883    17884    17885    17886    17887    17888 
## 25.09469 25.65564 25.59955 25.54345 25.65564 25.37517 25.09469 25.71174 
##    17889    17890    17891    17892    17893    17894    17895    17896 
## 25.82393 24.47764 24.81421 25.59955 25.03859 24.87031 25.54345 24.92640 
##    17897    17898    17899    17900    17901    17902    17903    17904 
## 25.48736 25.03859 25.31907 25.59955 25.26297 25.20688 25.71174 25.54345 
##    17905    17906    17907    17908    17909    17910    17911    17912 
## 25.37517 25.09469 24.81421 25.37517 25.65564 25.09469 25.09469 25.48736 
##    17913    17914    17915    17916    17917    17918    17919    17920 
## 25.09469 25.37517 25.65564 24.30935 25.54345 25.20688 25.43126 25.59955 
##    17921    17922    17923    17924    17925    17926    17927    17928 
## 25.65564 25.54345 25.31907 25.37517 24.75812 25.09469 25.20688 25.54345 
##    17929    17930    17931    17932    17933    17934    17935    17936 
## 24.81421 24.81421 25.76783 24.98250 24.92640 25.20688 25.31907 25.88002 
##    17937    17938    17939    17940    17941    17942    17943    17944 
## 25.20688 25.20688 25.65564 25.09469 25.65564 25.99221 25.48736 25.93612 
##    17945    17946    17947    17948    17949    17950    17951    17952 
## 25.82393 24.98250 26.10441 25.26297 25.65564 25.20688 25.48736 25.48736 
##    17953    17954    17955    17956    17957    17958    17959    17960 
## 25.76783 25.20688 25.82393 25.09469 25.37517 25.48736 25.26297 24.64593 
##    17961    17962    17963    17964    17965    17966    17967    17968 
## 24.36545 25.37517 25.09469 24.70202 25.20688 25.20688 24.92640 25.09469 
##    17969    17970    17971    17972    17973    17974    17975    17976 
## 24.75812 24.98250 24.92640 25.59955 25.54345 25.37517 25.48736 25.03859 
##    17977    17978    17979    17980    17981    17982    17983    17984 
## 25.09469 25.03859 25.15078 24.81421 25.65564 25.82393 25.20688 25.37517 
##    17985    17986    17987    17988    17989    17990    17991    17992 
## 24.70202 25.65564 25.09469 24.58983 25.43126 25.48736 25.59955 25.03859 
##    17993    17994    17995    17996    17997    17998    17999    18000 
## 24.75812 25.65564 24.81421 25.43126 24.92640 25.09469 25.31907 25.59955 
##    18001    18002    18003    18004    18005    18006    18007    18008 
## 24.64593 25.31907 25.43126 25.65564 25.93612 25.76783 24.98250 25.48736 
##    18009    18010    18011    18012    18013    18014    18015    18016 
## 24.92640 24.92640 25.09469 25.09469 25.48736 25.48736 25.09469 25.65564 
##    18017    18018    18019    18020    18021    18022    18023    18024 
## 25.15078 24.98250 25.20688 25.37517 25.31907 25.54345 24.75812 25.54345 
##    18025    18026    18027    18028    18029    18030    18031    18032 
## 25.31907 25.20688 24.64593 24.92640 24.98250 25.09469 26.16050 25.76783 
##    18033    18034    18035    18036    18037    18038    18039    18040 
## 24.98250 24.92640 26.44098 24.64593 24.75812 26.04831 25.82393 24.70202 
##    18041    18042    18043    18044    18045    18046    18047    18048 
## 25.09469 25.76783 26.04831 24.92640 25.37517 25.54345 24.92640 25.37517 
##    18049    18050    18051    18052    18053    18054    18055    18056 
## 24.98250 25.65564 25.43126 25.65564 25.20688 25.48736 24.98250 25.54345 
##    18057    18058    18059    18060    18061    18062    18063    18064 
## 24.81421 24.75812 25.20688 25.09469 25.31907 24.92640 25.48736 25.20688 
##    18065    18066    18067    18068    18069    18070    18071    18072 
## 25.03859 25.20688 24.75812 25.43126 25.48736 25.37517 25.76783 25.59955 
##    18073    18074    18075    18076    18077    18078    18079    18080 
## 25.54345 25.65564 25.48736 25.48736 25.20688 25.26297 24.64593 25.09469 
##    18081    18082    18083    18084    18085    18086    18087    18088 
## 25.03859 25.88002 25.65564 24.92640 25.48736 25.09469 25.59955 25.65564 
##    18089    18090    18091    18092    18093    18094    18095    18096 
## 25.65564 25.48736 25.43126 24.92640 25.20688 25.20688 25.65564 25.54345 
##    18097    18098    18099    18100    18101    18102    18103    18104 
## 25.31907 25.43126 25.03859 24.81421 24.81421 25.09469 25.20688 24.25326 
##    18105    18106    18107    18108    18109    18110    18111    18112 
## 25.09469 25.15078 24.64593 24.53373 25.20688 25.20688 24.81421 25.09469 
##    18113    18114    18115    18116    18117    18118    18119    18120 
## 25.20688 25.31907 25.54345 25.03859 24.64593 25.93612 25.43126 25.82393 
##    18121    18122    18123    18124    18125    18126    18127    18128 
## 25.20688 25.54345 25.37517 25.37517 25.20688 25.20688 25.48736 25.48736 
##    18129    18130    18131    18132    18133    18134    18135    18136 
## 24.81421 25.65564 25.09469 25.88002 25.20688 25.54345 25.31907 25.26297 
##    18137    18138    18139    18140    18141    18142    18143    18144 
## 25.71174 25.15078 25.31907 24.92640 25.93612 25.31907 25.65564 25.20688 
##    18145    18146    18147    18148    18149    18150    18151    18152 
## 25.82393 25.54345 25.43126 25.09469 24.92640 24.92640 25.03859 25.20688 
##    18153    18154    18155    18156    18157    18158    18159    18160 
## 25.20688 25.09469 24.98250 25.43126 25.15078 25.09469 24.98250 25.48736 
##    18161    18162    18163    18164    18165    18166    18167    18168 
## 25.48736 25.76783 25.03859 25.88002 25.37517 25.54345 25.88002 24.98250 
##    18169    18170    18171    18172    18173    18174    18175    18176 
## 24.81421 24.70202 25.37517 24.87031 25.09469 25.20688 24.87031 25.43126 
##    18177    18178    18179    18180    18181    18182    18183    18184 
## 25.76783 24.98250 25.09469 25.09469 25.20688 25.31907 25.65564 25.48736 
##    18185    18186    18187    18188    18189    18190    18191    18192 
## 25.31907 25.09469 25.09469 25.09469 25.03859 25.59955 25.20688 25.82393 
##    18193    18194    18195    18196    18197    18198    18199    18200 
## 25.59955 25.26297 24.36545 24.98250 24.81421 25.76783 25.65564 25.20688 
##    18201    18202    18203    18204    18205    18206    18207    18208 
## 25.20688 24.75812 25.43126 25.93612 25.31907 24.98250 25.82393 25.37517 
##    18209    18210    18211    18212    18213    18214    18215    18216 
## 25.48736 25.48736 24.81421 24.92640 24.53373 25.31907 25.03859 24.87031 
##    18217    18218    18219    18220    18221    18222    18223    18224 
## 25.20688 24.98250 25.09469 25.09469 25.37517 25.15078 25.71174 25.48736 
##    18225    18226    18227    18228    18229    18230    18231    18232 
## 24.92640 25.82393 24.92640 25.48736 25.48736 26.04831 25.37517 25.65564 
##    18233    18234    18235    18236    18237    18238    18239    18240 
## 25.76783 25.31907 25.37517 24.75812 25.09469 25.09469 25.43126 25.48736 
##    18241    18242    18243    18244    18245    18246    18247    18248 
## 25.37517 24.92640 25.54345 24.87031 24.98250 25.48736 25.31907 25.71174 
##    18249    18250    18251    18252    18253    18254    18255    18256 
## 24.64593 25.48736 25.09469 25.31907 24.92640 25.09469 25.37517 25.65564 
##    18257    18258    18259    18260    18261    18262    18263    18264 
## 25.48736 25.15078 25.09469 25.48736 24.87031 24.64593 25.31907 25.09469 
##    18265    18266    18267    18268    18269    18270    18271    18272 
## 25.09469 24.64593 24.92640 25.09469 25.09469 25.37517 25.03859 25.20688 
##    18273    18274    18275    18276    18277    18278 
## 25.65564 25.54345 25.03859 25.54345 25.48736 25.31907
# Comprobar
y = a + b * x
y
## [1] 23.52402 24.08497 24.64593 24.92640 25.48736 25.76783

4.6.6 Interpretar el ejercicio

Conforme se van obteniendo los datos a través del conjunto de datos utilizados en el caso 22 y 23, anteriormente realizados, los jugadores, de acuerdo con las varibles independietes de su edad y altura en cm, se puede decir que el valor de correlación es de 0.08, por lo que la correlación es positiva muy débil rosando que sea una correlación nula.

5 Interpretación

El coeficiente de correlación es una prueba que mide la realación estadística entre dos variables continuas.

El coeficiente de correlación puede variar y dependiendo de su valor es lo que indica si hay o no asociación entre las dos variables variables, ya sea positiva o negativa.

Referencias bibliográficas

Amat Rodrigo, Joaquín. 2016. “Correlación Lineal y Regresión Lineal Simple. Correlación Lineal y Regresión Lineal Simple.” 2016. https://www.cienciadedatos.net/documentos/24_correlacion_y_regresion_lineal.
Hernández Sampieri, Roberto, Carlos Fernández Collado, and María del Pilar Baptista Lucio. 2014. Metodología de La Investigación. Sexta.
Lind, Douglas, William Marchal, and Samuel Wathen. 2015. Estadística Aplicada a Los Negocios y La Economía. Decimo Sexta. México, D.F.: McGraw-Hill.
Walpole, Ronald E., Raymond H. Myers, and Sharon L. Myers. 2012. Probabilidad y Estadística Para Ingeniería y Ciencias. Novena Edición. México: Pearson.
Walpole, Ronald E., Raymond H. Myers, Sharon L. Myers, and Keying Ye. 2007. Probabilidad y Estadística Para Ingeniería y Ciencias. Octava Edición. México: Pearson Education.