Summary

The proposed study was done by [Kermany et al. 2018] and implements algorithms to support clinical decision making, establishing a diagnostic tool based on a deep-learning framework for screening patients with treatable blinding retinal diseases, as well as the diagnosis of pneumonia pediátrica viral and bacterial. We then chose to replicate only the experiment that seeks to identify the existence or not of pneumonia, due to the technical limitations in the labeling of images of retinal diseases as well as the existence of another previously labeled data set. for the execution of this study besides that, our contribution are the confidence intervals calculations and other inferences.

Data Summary

dados = read_csv("../data/rocObj.csv")
## Parsed with column specification:
## cols(
##   y_true = col_double(),
##   y_pred = col_double()
## )
glimpse(dados)
## Observations: 624
## Variables: 2
## $ y_true <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
## $ y_pred <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, …

Curva ROC e AUC

The main idea in this experiment is that we will use is a technique proposed by [Efron 1979], called boostrap, which uses replication and uses the sample as a substitute for the population and simulates sampling through a resampling process with repositioning. , Providing an accurate estimate of the variation in the sample distribution.

So assuming that our data set, which has a total of 5,232 images tagged and labeled, is our sample and as already presented, an AUC of 89.06%, we will calculate the sample distribution in relation to to this metric, bypassing the lack of information on the population from this resampling technique.

par(pty = "s")
rocObj = dados %>%
  roc(y_true,y_pred, plot=TRUE, legacy.axes=TRUE, percent = TRUE, xlab = "False Positive Percentage", ylab= "True Positive Percentage", col="#377eb8", lwd=4, print.auc=TRUE, partial.auc=c(100,82), auc.polygon=TRUE, auc.polygon.col="#377eb822") +
  theme_minimal() +
  ggsave("1.pdf", width = 6, height = 4)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

par(pty = "s")
rocObj = dados %>%
  roc(y_true,y_pred, plot=TRUE, legacy.axes=TRUE, percent = TRUE, xlab = "False Positive Percentage", ylab= "True Positive Percentage", col="#377eb8", lwd=4, print.auc=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

ggsave("ROC_curve.pdf", width = 6, height = 4)
obj = dados %>%
  roc(y_true, y_pred, ci=TRUE, plot=FALSE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
obj["ci"]
## $ci
## 95% CI: 0.8642-0.917 (DeLong)
sens_obj = ci.se(obj, specificities=seq(0, 1, l=25), boot.n=10000)
dat_sens.ci = data.frame(x = as.numeric(rownames(sens_obj)),
                     lower = sens_obj[, 1],
                     upper = sens_obj[, 3])

ggroc(obj) +
  xlab("Especificidade") + 
  ylab("Sensibilidade") +
  theme_minimal() +
  geom_abline(slope=1, intercept = 1, linetype = "dashed", alpha=0.7, color = "grey") +
  coord_equal() +
  geom_ribbon(data = dat_sens.ci, aes(x = x, ymin = lower, ymax = upper), fill = "steelblue", alpha= 0.2) +
  # ggtitle(capture.output(obj$ci))
  ggtitle("Curva ROC - 95% IC:[0,86; 0,91]")

  ggsave("ICS_ROC_curve.pdf", width = 6, height = 4)

To carry out this procedure, we built 10,000 bootstrap replicas, in order to obtain limits for 95% confidence intervals as well as the standard error.

Get Confidence Intervals

ci.auc(rocObj, conf.level=0.95, method="bootstrap", boot.n = 10000, boot.stratified = TRUE, reuse.auc=TRUE,
progress = getOption("pROCProgress")$name, parallel=FALSE)
## 95% CI: 86.45%-91.62% (10000 stratified bootstrap replicates)

Another lib (fbroc)

new_data = dados %>%
  mutate(true_class = as.logical(y_true))

result.boot = boot.roc(new_data$y_pred, new_data$true_class, n.boot = 10000)
perf(result.boot, "auc", conf.level = 0.95)
## 
## 
##                 Bootstrapped ROC performance metric
## 
## Metric: AUC
## Bootstrap replicates: 10000
## Observed: 0.891
## Std. Error: 0.013
## 95% confidence interval:
## 0.863 0.916

Bootstraped Samples

conf(result.boot, steps = 10000)
##          FPR       TPR Lower.TPR Upper.TPR
## 1     1.0000 1.0000000 1.0000000  1.000000
## 2     0.9999 0.9564103 0.9358974  0.974359
## 3     0.9998 0.9564103 0.9358974  0.974359
## 4     0.9997 0.9564103 0.9358974  0.974359
## 5     0.9996 0.9564103 0.9358974  0.974359
## 6     0.9995 0.9564103 0.9358974  0.974359
## 7     0.9994 0.9564103 0.9358974  0.974359
## 8     0.9993 0.9564103 0.9358974  0.974359
## 9     0.9992 0.9564103 0.9358974  0.974359
## 10    0.9991 0.9564103 0.9358974  0.974359
## 11    0.9990 0.9564103 0.9358974  0.974359
## 12    0.9989 0.9564103 0.9358974  0.974359
## 13    0.9988 0.9564103 0.9358974  0.974359
## 14    0.9987 0.9564103 0.9358974  0.974359
## 15    0.9986 0.9564103 0.9358974  0.974359
## 16    0.9985 0.9564103 0.9358974  0.974359
## 17    0.9984 0.9564103 0.9358974  0.974359
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## 22    0.9979 0.9564103 0.9358974  0.974359
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## 24    0.9977 0.9564103 0.9358974  0.974359
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## 111   0.9890 0.9564103 0.9358974  0.974359
## 112   0.9889 0.9564103 0.9358974  0.974359
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## 161   0.9840 0.9564103 0.9358974  0.974359
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## 204   0.9797 0.9564103 0.9358974  0.974359
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## 257   0.9744 0.9564103 0.9358974  0.974359
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## 259   0.9742 0.9564103 0.9358974  0.974359
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## 1778  0.8223 0.9564103 0.9358974  0.974359
## 1779  0.8222 0.9564103 0.9358974  0.974359
## 1780  0.8221 0.9564103 0.9358974  0.974359
## 1781  0.8220 0.9564103 0.9358974  0.974359
## 1782  0.8219 0.9564103 0.9358974  0.974359
## 1783  0.8218 0.9564103 0.9358974  0.974359
## 1784  0.8217 0.9564103 0.9358974  0.974359
## 1785  0.8216 0.9564103 0.9358974  0.974359
## 1786  0.8215 0.9564103 0.9358974  0.974359
## 1787  0.8214 0.9564103 0.9358974  0.974359
## 1788  0.8213 0.9564103 0.9358974  0.974359
## 1789  0.8212 0.9564103 0.9358974  0.974359
## 1790  0.8211 0.9564103 0.9358974  0.974359
## 1791  0.8210 0.9564103 0.9358974  0.974359
## 1792  0.8209 0.9564103 0.9358974  0.974359
## 1793  0.8208 0.9564103 0.9358974  0.974359
## 1794  0.8207 0.9564103 0.9358974  0.974359
## 1795  0.8206 0.9564103 0.9358974  0.974359
## 1796  0.8205 0.9564103 0.9358974  0.974359
## 1797  0.8204 0.9564103 0.9358974  0.974359
## 1798  0.8203 0.9564103 0.9358974  0.974359
## 1799  0.8202 0.9564103 0.9358974  0.974359
## 1800  0.8201 0.9564103 0.9358974  0.974359
## 1801  0.8200 0.9564103 0.9358974  0.974359
## 1802  0.8199 0.9564103 0.9358974  0.974359
## 1803  0.8198 0.9564103 0.9358974  0.974359
## 1804  0.8197 0.9564103 0.9358974  0.974359
## 1805  0.8196 0.9564103 0.9358974  0.974359
## 1806  0.8195 0.9564103 0.9358974  0.974359
## 1807  0.8194 0.9564103 0.9358974  0.974359
## 1808  0.8193 0.9564103 0.9358974  0.974359
## 1809  0.8192 0.9564103 0.9358974  0.974359
## 1810  0.8191 0.9564103 0.9358974  0.974359
## 1811  0.8190 0.9564103 0.9358974  0.974359
## 1812  0.8189 0.9564103 0.9358974  0.974359
## 1813  0.8188 0.9564103 0.9358974  0.974359
## 1814  0.8187 0.9564103 0.9358974  0.974359
## 1815  0.8186 0.9564103 0.9358974  0.974359
## 1816  0.8185 0.9564103 0.9358974  0.974359
## 1817  0.8184 0.9564103 0.9358974  0.974359
## 1818  0.8183 0.9564103 0.9358974  0.974359
## 1819  0.8182 0.9564103 0.9358974  0.974359
## 1820  0.8181 0.9564103 0.9358974  0.974359
## 1821  0.8180 0.9564103 0.9358974  0.974359
## 1822  0.8179 0.9564103 0.9358974  0.974359
## 1823  0.8178 0.9564103 0.9358974  0.974359
## 1824  0.8177 0.9564103 0.9358974  0.974359
## 1825  0.8176 0.9564103 0.9358974  0.974359
## 1826  0.8175 0.9564103 0.9358974  0.974359
## 1827  0.8174 0.9564103 0.9358974  0.974359
## 1828  0.8173 0.9564103 0.9358974  0.974359
## 1829  0.8172 0.9564103 0.9358974  0.974359
## 1830  0.8171 0.9564103 0.9358974  0.974359
## 1831  0.8170 0.9564103 0.9358974  0.974359
## 1832  0.8169 0.9564103 0.9358974  0.974359
## 1833  0.8168 0.9564103 0.9358974  0.974359
## 1834  0.8167 0.9564103 0.9358974  0.974359
## 1835  0.8166 0.9564103 0.9358974  0.974359
## 1836  0.8165 0.9564103 0.9358974  0.974359
## 1837  0.8164 0.9564103 0.9358974  0.974359
## 1838  0.8163 0.9564103 0.9358974  0.974359
## 1839  0.8162 0.9564103 0.9358974  0.974359
## 1840  0.8161 0.9564103 0.9358974  0.974359
## 1841  0.8160 0.9564103 0.9358974  0.974359
## 1842  0.8159 0.9564103 0.9358974  0.974359
## 1843  0.8158 0.9564103 0.9358974  0.974359
## 1844  0.8157 0.9564103 0.9358974  0.974359
## 1845  0.8156 0.9564103 0.9358974  0.974359
## 1846  0.8155 0.9564103 0.9358974  0.974359
## 1847  0.8154 0.9564103 0.9358974  0.974359
## 1848  0.8153 0.9564103 0.9358974  0.974359
## 1849  0.8152 0.9564103 0.9358974  0.974359
## 1850  0.8151 0.9564103 0.9358974  0.974359
## 1851  0.8150 0.9564103 0.9358974  0.974359
## 1852  0.8149 0.9564103 0.9358974  0.974359
## 1853  0.8148 0.9564103 0.9358974  0.974359
## 1854  0.8147 0.9564103 0.9358974  0.974359
## 1855  0.8146 0.9564103 0.9358974  0.974359
## 1856  0.8145 0.9564103 0.9358974  0.974359
## 1857  0.8144 0.9564103 0.9358974  0.974359
## 1858  0.8143 0.9564103 0.9358974  0.974359
## 1859  0.8142 0.9564103 0.9358974  0.974359
## 1860  0.8141 0.9564103 0.9358974  0.974359
## 1861  0.8140 0.9564103 0.9358974  0.974359
## 1862  0.8139 0.9564103 0.9358974  0.974359
## 1863  0.8138 0.9564103 0.9358974  0.974359
## 1864  0.8137 0.9564103 0.9358974  0.974359
## 1865  0.8136 0.9564103 0.9358974  0.974359
## 1866  0.8135 0.9564103 0.9358974  0.974359
## 1867  0.8134 0.9564103 0.9358974  0.974359
## 1868  0.8133 0.9564103 0.9358974  0.974359
## 1869  0.8132 0.9564103 0.9358974  0.974359
## 1870  0.8131 0.9564103 0.9358974  0.974359
## 1871  0.8130 0.9564103 0.9358974  0.974359
## 1872  0.8129 0.9564103 0.9358974  0.974359
## 1873  0.8128 0.9564103 0.9358974  0.974359
## 1874  0.8127 0.9564103 0.9358974  0.974359
## 1875  0.8126 0.9564103 0.9358974  0.974359
## 1876  0.8125 0.9564103 0.9358974  0.974359
## 1877  0.8124 0.9564103 0.9358974  0.974359
## 1878  0.8123 0.9564103 0.9358974  0.974359
## 1879  0.8122 0.9564103 0.9358974  0.974359
## 1880  0.8121 0.9564103 0.9358974  0.974359
## 1881  0.8120 0.9564103 0.9358974  0.974359
## 1882  0.8119 0.9564103 0.9358974  0.974359
## 1883  0.8118 0.9564103 0.9358974  0.974359
## 1884  0.8117 0.9564103 0.9358974  0.974359
## 1885  0.8116 0.9564103 0.9358974  0.974359
## 1886  0.8115 0.9564103 0.9358974  0.974359
## 1887  0.8114 0.9564103 0.9358974  0.974359
## 1888  0.8113 0.9564103 0.9358974  0.974359
## 1889  0.8112 0.9564103 0.9358974  0.974359
## 1890  0.8111 0.9564103 0.9358974  0.974359
## 1891  0.8110 0.9564103 0.9358974  0.974359
## 1892  0.8109 0.9564103 0.9358974  0.974359
## 1893  0.8108 0.9564103 0.9358974  0.974359
## 1894  0.8107 0.9564103 0.9358974  0.974359
## 1895  0.8106 0.9564103 0.9358974  0.974359
## 1896  0.8105 0.9564103 0.9358974  0.974359
## 1897  0.8104 0.9564103 0.9358974  0.974359
## 1898  0.8103 0.9564103 0.9358974  0.974359
## 1899  0.8102 0.9564103 0.9358974  0.974359
## 1900  0.8101 0.9564103 0.9358974  0.974359
## 1901  0.8100 0.9564103 0.9358974  0.974359
## 1902  0.8099 0.9564103 0.9358974  0.974359
## 1903  0.8098 0.9564103 0.9358974  0.974359
## 1904  0.8097 0.9564103 0.9358974  0.974359
## 1905  0.8096 0.9564103 0.9358974  0.974359
## 1906  0.8095 0.9564103 0.9358974  0.974359
## 1907  0.8094 0.9564103 0.9358974  0.974359
## 1908  0.8093 0.9564103 0.9358974  0.974359
## 1909  0.8092 0.9564103 0.9358974  0.974359
## 1910  0.8091 0.9564103 0.9358974  0.974359
## 1911  0.8090 0.9564103 0.9358974  0.974359
## 1912  0.8089 0.9564103 0.9358974  0.974359
## 1913  0.8088 0.9564103 0.9358974  0.974359
## 1914  0.8087 0.9564103 0.9358974  0.974359
## 1915  0.8086 0.9564103 0.9358974  0.974359
## 1916  0.8085 0.9564103 0.9358974  0.974359
## 1917  0.8084 0.9564103 0.9358974  0.974359
## 1918  0.8083 0.9564103 0.9358974  0.974359
## 1919  0.8082 0.9564103 0.9358974  0.974359
## 1920  0.8081 0.9564103 0.9358974  0.974359
## 1921  0.8080 0.9564103 0.9358974  0.974359
## 1922  0.8079 0.9564103 0.9358974  0.974359
## 1923  0.8078 0.9564103 0.9358974  0.974359
## 1924  0.8077 0.9564103 0.9358974  0.974359
## 1925  0.8076 0.9564103 0.9358974  0.974359
## 1926  0.8075 0.9564103 0.9358974  0.974359
## 1927  0.8074 0.9564103 0.9358974  0.974359
## 1928  0.8073 0.9564103 0.9358974  0.974359
## 1929  0.8072 0.9564103 0.9358974  0.974359
## 1930  0.8071 0.9564103 0.9358974  0.974359
## 1931  0.8070 0.9564103 0.9358974  0.974359
## 1932  0.8069 0.9564103 0.9358974  0.974359
## 1933  0.8068 0.9564103 0.9358974  0.974359
## 1934  0.8067 0.9564103 0.9358974  0.974359
## 1935  0.8066 0.9564103 0.9358974  0.974359
## 1936  0.8065 0.9564103 0.9358974  0.974359
## 1937  0.8064 0.9564103 0.9358974  0.974359
## 1938  0.8063 0.9564103 0.9358974  0.974359
## 1939  0.8062 0.9564103 0.9358974  0.974359
## 1940  0.8061 0.9564103 0.9358974  0.974359
## 1941  0.8060 0.9564103 0.9358974  0.974359
## 1942  0.8059 0.9564103 0.9358974  0.974359
## 1943  0.8058 0.9564103 0.9358974  0.974359
## 1944  0.8057 0.9564103 0.9358974  0.974359
## 1945  0.8056 0.9564103 0.9358974  0.974359
## 1946  0.8055 0.9564103 0.9358974  0.974359
## 1947  0.8054 0.9564103 0.9358974  0.974359
## 1948  0.8053 0.9564103 0.9358974  0.974359
## 1949  0.8052 0.9564103 0.9358974  0.974359
## 1950  0.8051 0.9564103 0.9358974  0.974359
## 1951  0.8050 0.9564103 0.9358974  0.974359
## 1952  0.8049 0.9564103 0.9358974  0.974359
## 1953  0.8048 0.9564103 0.9358974  0.974359
## 1954  0.8047 0.9564103 0.9358974  0.974359
## 1955  0.8046 0.9564103 0.9358974  0.974359
## 1956  0.8045 0.9564103 0.9358974  0.974359
## 1957  0.8044 0.9564103 0.9358974  0.974359
## 1958  0.8043 0.9564103 0.9358974  0.974359
## 1959  0.8042 0.9564103 0.9358974  0.974359
## 1960  0.8041 0.9564103 0.9358974  0.974359
## 1961  0.8040 0.9564103 0.9358974  0.974359
## 1962  0.8039 0.9564103 0.9358974  0.974359
## 1963  0.8038 0.9564103 0.9358974  0.974359
## 1964  0.8037 0.9564103 0.9358974  0.974359
## 1965  0.8036 0.9564103 0.9358974  0.974359
## 1966  0.8035 0.9564103 0.9358974  0.974359
## 1967  0.8034 0.9564103 0.9358974  0.974359
## 1968  0.8033 0.9564103 0.9358974  0.974359
## 1969  0.8032 0.9564103 0.9358974  0.974359
## 1970  0.8031 0.9564103 0.9358974  0.974359
## 1971  0.8030 0.9564103 0.9358974  0.974359
## 1972  0.8029 0.9564103 0.9358974  0.974359
## 1973  0.8028 0.9564103 0.9358974  0.974359
## 1974  0.8027 0.9564103 0.9358974  0.974359
## 1975  0.8026 0.9564103 0.9358974  0.974359
## 1976  0.8025 0.9564103 0.9358974  0.974359
## 1977  0.8024 0.9564103 0.9358974  0.974359
## 1978  0.8023 0.9564103 0.9358974  0.974359
## 1979  0.8022 0.9564103 0.9358974  0.974359
## 1980  0.8021 0.9564103 0.9358974  0.974359
## 1981  0.8020 0.9564103 0.9358974  0.974359
## 1982  0.8019 0.9564103 0.9358974  0.974359
## 1983  0.8018 0.9564103 0.9358974  0.974359
## 1984  0.8017 0.9564103 0.9358974  0.974359
## 1985  0.8016 0.9564103 0.9358974  0.974359
## 1986  0.8015 0.9564103 0.9358974  0.974359
## 1987  0.8014 0.9564103 0.9358974  0.974359
## 1988  0.8013 0.9564103 0.9358974  0.974359
## 1989  0.8012 0.9564103 0.9358974  0.974359
## 1990  0.8011 0.9564103 0.9358974  0.974359
## 1991  0.8010 0.9564103 0.9358974  0.974359
## 1992  0.8009 0.9564103 0.9358974  0.974359
## 1993  0.8008 0.9564103 0.9358974  0.974359
## 1994  0.8007 0.9564103 0.9358974  0.974359
## 1995  0.8006 0.9564103 0.9358974  0.974359
## 1996  0.8005 0.9564103 0.9358974  0.974359
## 1997  0.8004 0.9564103 0.9358974  0.974359
## 1998  0.8003 0.9564103 0.9358974  0.974359
## 1999  0.8002 0.9564103 0.9358974  0.974359
## 2000  0.8001 0.9564103 0.9358974  0.974359
## 2001  0.8000 0.9564103 0.9358974  0.974359
## 2002  0.7999 0.9564103 0.9358974  0.974359
## 2003  0.7998 0.9564103 0.9358974  0.974359
## 2004  0.7997 0.9564103 0.9358974  0.974359
## 2005  0.7996 0.9564103 0.9358974  0.974359
## 2006  0.7995 0.9564103 0.9358974  0.974359
## 2007  0.7994 0.9564103 0.9358974  0.974359
## 2008  0.7993 0.9564103 0.9358974  0.974359
## 2009  0.7992 0.9564103 0.9358974  0.974359
## 2010  0.7991 0.9564103 0.9358974  0.974359
## 2011  0.7990 0.9564103 0.9358974  0.974359
## 2012  0.7989 0.9564103 0.9358974  0.974359
## 2013  0.7988 0.9564103 0.9358974  0.974359
## 2014  0.7987 0.9564103 0.9358974  0.974359
## 2015  0.7986 0.9564103 0.9358974  0.974359
## 2016  0.7985 0.9564103 0.9358974  0.974359
## 2017  0.7984 0.9564103 0.9358974  0.974359
## 2018  0.7983 0.9564103 0.9358974  0.974359
## 2019  0.7982 0.9564103 0.9358974  0.974359
## 2020  0.7981 0.9564103 0.9358974  0.974359
## 2021  0.7980 0.9564103 0.9358974  0.974359
## 2022  0.7979 0.9564103 0.9358974  0.974359
## 2023  0.7978 0.9564103 0.9358974  0.974359
## 2024  0.7977 0.9564103 0.9358974  0.974359
## 2025  0.7976 0.9564103 0.9358974  0.974359
## 2026  0.7975 0.9564103 0.9358974  0.974359
## 2027  0.7974 0.9564103 0.9358974  0.974359
## 2028  0.7973 0.9564103 0.9358974  0.974359
## 2029  0.7972 0.9564103 0.9358974  0.974359
## 2030  0.7971 0.9564103 0.9358974  0.974359
## 2031  0.7970 0.9564103 0.9358974  0.974359
## 2032  0.7969 0.9564103 0.9358974  0.974359
## 2033  0.7968 0.9564103 0.9358974  0.974359
## 2034  0.7967 0.9564103 0.9358974  0.974359
## 2035  0.7966 0.9564103 0.9358974  0.974359
## 2036  0.7965 0.9564103 0.9358974  0.974359
## 2037  0.7964 0.9564103 0.9358974  0.974359
## 2038  0.7963 0.9564103 0.9358974  0.974359
## 2039  0.7962 0.9564103 0.9358974  0.974359
## 2040  0.7961 0.9564103 0.9358974  0.974359
## 2041  0.7960 0.9564103 0.9358974  0.974359
## 2042  0.7959 0.9564103 0.9358974  0.974359
## 2043  0.7958 0.9564103 0.9358974  0.974359
## 2044  0.7957 0.9564103 0.9358974  0.974359
## 2045  0.7956 0.9564103 0.9358974  0.974359
## 2046  0.7955 0.9564103 0.9358974  0.974359
## 2047  0.7954 0.9564103 0.9358974  0.974359
## 2048  0.7953 0.9564103 0.9358974  0.974359
## 2049  0.7952 0.9564103 0.9358974  0.974359
## 2050  0.7951 0.9564103 0.9358974  0.974359
## 2051  0.7950 0.9564103 0.9358974  0.974359
## 2052  0.7949 0.9564103 0.9358974  0.974359
## 2053  0.7948 0.9564103 0.9358974  0.974359
## 2054  0.7947 0.9564103 0.9358974  0.974359
## 2055  0.7946 0.9564103 0.9358974  0.974359
## 2056  0.7945 0.9564103 0.9358974  0.974359
## 2057  0.7944 0.9564103 0.9358974  0.974359
## 2058  0.7943 0.9564103 0.9358974  0.974359
## 2059  0.7942 0.9564103 0.9358974  0.974359
## 2060  0.7941 0.9564103 0.9358974  0.974359
## 2061  0.7940 0.9564103 0.9358974  0.974359
## 2062  0.7939 0.9564103 0.9358974  0.974359
## 2063  0.7938 0.9564103 0.9358974  0.974359
## 2064  0.7937 0.9564103 0.9358974  0.974359
## 2065  0.7936 0.9564103 0.9358974  0.974359
## 2066  0.7935 0.9564103 0.9358974  0.974359
## 2067  0.7934 0.9564103 0.9358974  0.974359
## 2068  0.7933 0.9564103 0.9358974  0.974359
## 2069  0.7932 0.9564103 0.9358974  0.974359
## 2070  0.7931 0.9564103 0.9358974  0.974359
## 2071  0.7930 0.9564103 0.9358974  0.974359
## 2072  0.7929 0.9564103 0.9358974  0.974359
## 2073  0.7928 0.9564103 0.9358974  0.974359
## 2074  0.7927 0.9564103 0.9358974  0.974359
## 2075  0.7926 0.9564103 0.9358974  0.974359
## 2076  0.7925 0.9564103 0.9358974  0.974359
## 2077  0.7924 0.9564103 0.9358974  0.974359
## 2078  0.7923 0.9564103 0.9358974  0.974359
## 2079  0.7922 0.9564103 0.9358974  0.974359
## 2080  0.7921 0.9564103 0.9358974  0.974359
## 2081  0.7920 0.9564103 0.9358974  0.974359
## 2082  0.7919 0.9564103 0.9358974  0.974359
## 2083  0.7918 0.9564103 0.9358974  0.974359
## 2084  0.7917 0.9564103 0.9358974  0.974359
## 2085  0.7916 0.9564103 0.9358974  0.974359
## 2086  0.7915 0.9564103 0.9358974  0.974359
## 2087  0.7914 0.9564103 0.9358974  0.974359
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## 2096  0.7905 0.9564103 0.9358974  0.974359
## 2097  0.7904 0.9564103 0.9358974  0.974359
## 2098  0.7903 0.9564103 0.9358974  0.974359
## 2099  0.7902 0.9564103 0.9358974  0.974359
## 2100  0.7901 0.9564103 0.9358974  0.974359
## 2101  0.7900 0.9564103 0.9358974  0.974359
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## 2108  0.7893 0.9564103 0.9358974  0.974359
## 2109  0.7892 0.9564103 0.9358974  0.974359
## 2110  0.7891 0.9564103 0.9358974  0.974359
## 2111  0.7890 0.9564103 0.9358974  0.974359
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## 2123  0.7878 0.9564103 0.9358974  0.974359
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## 2128  0.7873 0.9564103 0.9358974  0.974359
## 2129  0.7872 0.9564103 0.9358974  0.974359
## 2130  0.7871 0.9564103 0.9358974  0.974359
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## 2134  0.7867 0.9564103 0.9358974  0.974359
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## 2141  0.7860 0.9564103 0.9358974  0.974359
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## 2149  0.7852 0.9564103 0.9358974  0.974359
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## 2151  0.7850 0.9564103 0.9358974  0.974359
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## 2157  0.7844 0.9564103 0.9358974  0.974359
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## 2170  0.7831 0.9564103 0.9358974  0.974359
## 2171  0.7830 0.9564103 0.9358974  0.974359
## 2172  0.7829 0.9564103 0.9358974  0.974359
## 2173  0.7828 0.9564103 0.9358974  0.974359
## 2174  0.7827 0.9564103 0.9358974  0.974359
## 2175  0.7826 0.9564103 0.9358974  0.974359
## 2176  0.7825 0.9564103 0.9358974  0.974359
## 2177  0.7824 0.9564103 0.9358974  0.974359
## 2178  0.7823 0.9564103 0.9358974  0.974359
## 2179  0.7822 0.9564103 0.9358974  0.974359
## 2180  0.7821 0.9564103 0.9358974  0.974359
## 2181  0.7820 0.9564103 0.9358974  0.974359
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## 2183  0.7818 0.9564103 0.9358974  0.974359
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## 2186  0.7815 0.9564103 0.9358974  0.974359
## 2187  0.7814 0.9564103 0.9358974  0.974359
## 2188  0.7813 0.9564103 0.9358974  0.974359
## 2189  0.7812 0.9564103 0.9358974  0.974359
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## 2194  0.7807 0.9564103 0.9358974  0.974359
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## 2197  0.7804 0.9564103 0.9358974  0.974359
## 2198  0.7803 0.9564103 0.9358974  0.974359
## 2199  0.7802 0.9564103 0.9358974  0.974359
## 2200  0.7801 0.9564103 0.9358974  0.974359
## 2201  0.7800 0.9564103 0.9358974  0.974359
## 2202  0.7799 0.9564103 0.9358974  0.974359
## 2203  0.7798 0.9564103 0.9358974  0.974359
## 2204  0.7797 0.9564103 0.9358974  0.974359
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## 2206  0.7795 0.9564103 0.9358974  0.974359
## 2207  0.7794 0.9564103 0.9358974  0.974359
## 2208  0.7793 0.9564103 0.9358974  0.974359
## 2209  0.7792 0.9564103 0.9358974  0.974359
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## 2211  0.7790 0.9564103 0.9358974  0.974359
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## 2217  0.7784 0.9564103 0.9358974  0.974359
## 2218  0.7783 0.9564103 0.9358974  0.974359
## 2219  0.7782 0.9564103 0.9358974  0.974359
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## 2221  0.7780 0.9564103 0.9358974  0.974359
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## 2227  0.7774 0.9564103 0.9358974  0.974359
## 2228  0.7773 0.9564103 0.9358974  0.974359
## 2229  0.7772 0.9564103 0.9358974  0.974359
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## 2239  0.7762 0.9564103 0.9358974  0.974359
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## 2339  0.7662 0.9564103 0.9358974  0.974359
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## 2358  0.7643 0.9564103 0.9358974  0.974359
## 2359  0.7642 0.9564103 0.9358974  0.974359
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## 2375  0.7626 0.9564103 0.9358974  0.974359
## 2376  0.7625 0.9564103 0.9358974  0.974359
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## 2378  0.7623 0.9564103 0.9358974  0.974359
## 2379  0.7622 0.9564103 0.9358974  0.974359
## 2380  0.7621 0.9564103 0.9358974  0.974359
## 2381  0.7620 0.9564103 0.9358974  0.974359
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## 2383  0.7618 0.9564103 0.9358974  0.974359
## 2384  0.7617 0.9564103 0.9358974  0.974359
## 2385  0.7616 0.9564103 0.9358974  0.974359
## 2386  0.7615 0.9564103 0.9358974  0.974359
## 2387  0.7614 0.9564103 0.9358974  0.974359
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## 2678  0.7323 0.9564103 0.9358974  0.974359
## 2679  0.7322 0.9564103 0.9358974  0.974359
## 2680  0.7321 0.9564103 0.9358974  0.974359
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## 2685  0.7316 0.9564103 0.9358974  0.974359
## 2686  0.7315 0.9564103 0.9358974  0.974359
## 2687  0.7314 0.9564103 0.9358974  0.974359
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## 2975  0.7026 0.9564103 0.9358974  0.974359
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## 2986  0.7015 0.9564103 0.9358974  0.974359
## 2987  0.7014 0.9564103 0.9358974  0.974359
## 2988  0.7013 0.9564103 0.9358974  0.974359
## 2989  0.7012 0.9564103 0.9358974  0.974359
## 2990  0.7011 0.9564103 0.9358974  0.974359
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## 2994  0.7007 0.9564103 0.9358974  0.974359
## 2995  0.7006 0.9564103 0.9358974  0.974359
## 2996  0.7005 0.9564103 0.9358974  0.974359
## 2997  0.7004 0.9564103 0.9358974  0.974359
## 2998  0.7003 0.9564103 0.9358974  0.974359
## 2999  0.7002 0.9564103 0.9358974  0.974359
## 3000  0.7001 0.9564103 0.9358974  0.974359
## 3001  0.7000 0.9564103 0.9358974  0.974359
## 3002  0.6999 0.9564103 0.9358974  0.974359
## 3003  0.6998 0.9564103 0.9358974  0.974359
## 3004  0.6997 0.9564103 0.9358974  0.974359
## 3005  0.6996 0.9564103 0.9358974  0.974359
## 3006  0.6995 0.9564103 0.9358974  0.974359
## 3007  0.6994 0.9564103 0.9358974  0.974359
## 3008  0.6993 0.9564103 0.9358974  0.974359
## 3009  0.6992 0.9564103 0.9358974  0.974359
## 3010  0.6991 0.9564103 0.9358974  0.974359
## 3011  0.6990 0.9564103 0.9358974  0.974359
## 3012  0.6989 0.9564103 0.9358974  0.974359
## 3013  0.6988 0.9564103 0.9358974  0.974359
## 3014  0.6987 0.9564103 0.9358974  0.974359
## 3015  0.6986 0.9564103 0.9358974  0.974359
## 3016  0.6985 0.9564103 0.9358974  0.974359
## 3017  0.6984 0.9564103 0.9358974  0.974359
## 3018  0.6983 0.9564103 0.9358974  0.974359
## 3019  0.6982 0.9564103 0.9358974  0.974359
## 3020  0.6981 0.9564103 0.9358974  0.974359
## 3021  0.6980 0.9564103 0.9358974  0.974359
## 3022  0.6979 0.9564103 0.9358974  0.974359
## 3023  0.6978 0.9564103 0.9358974  0.974359
## 3024  0.6977 0.9564103 0.9358974  0.974359
## 3025  0.6976 0.9564103 0.9358974  0.974359
## 3026  0.6975 0.9564103 0.9358974  0.974359
## 3027  0.6974 0.9564103 0.9358974  0.974359
## 3028  0.6973 0.9564103 0.9358974  0.974359
## 3029  0.6972 0.9564103 0.9358974  0.974359
## 3030  0.6971 0.9564103 0.9358974  0.974359
## 3031  0.6970 0.9564103 0.9358974  0.974359
## 3032  0.6969 0.9564103 0.9358974  0.974359
## 3033  0.6968 0.9564103 0.9358974  0.974359
## 3034  0.6967 0.9564103 0.9358974  0.974359
## 3035  0.6966 0.9564103 0.9358974  0.974359
## 3036  0.6965 0.9564103 0.9358974  0.974359
## 3037  0.6964 0.9564103 0.9358974  0.974359
## 3038  0.6963 0.9564103 0.9358974  0.974359
## 3039  0.6962 0.9564103 0.9358974  0.974359
## 3040  0.6961 0.9564103 0.9358974  0.974359
## 3041  0.6960 0.9564103 0.9358974  0.974359
## 3042  0.6959 0.9564103 0.9358974  0.974359
## 3043  0.6958 0.9564103 0.9358974  0.974359
## 3044  0.6957 0.9564103 0.9358974  0.974359
## 3045  0.6956 0.9564103 0.9358974  0.974359
## 3046  0.6955 0.9564103 0.9358974  0.974359
## 3047  0.6954 0.9564103 0.9358974  0.974359
## 3048  0.6953 0.9564103 0.9358974  0.974359
## 3049  0.6952 0.9564103 0.9358974  0.974359
## 3050  0.6951 0.9564103 0.9358974  0.974359
## 3051  0.6950 0.9564103 0.9358974  0.974359
## 3052  0.6949 0.9564103 0.9358974  0.974359
## 3053  0.6948 0.9564103 0.9358974  0.974359
## 3054  0.6947 0.9564103 0.9358974  0.974359
## 3055  0.6946 0.9564103 0.9358974  0.974359
## 3056  0.6945 0.9564103 0.9358974  0.974359
## 3057  0.6944 0.9564103 0.9358974  0.974359
## 3058  0.6943 0.9564103 0.9358974  0.974359
## 3059  0.6942 0.9564103 0.9358974  0.974359
## 3060  0.6941 0.9564103 0.9358974  0.974359
## 3061  0.6940 0.9564103 0.9358974  0.974359
## 3062  0.6939 0.9564103 0.9358974  0.974359
## 3063  0.6938 0.9564103 0.9358974  0.974359
## 3064  0.6937 0.9564103 0.9358974  0.974359
## 3065  0.6936 0.9564103 0.9358974  0.974359
## 3066  0.6935 0.9564103 0.9358974  0.974359
## 3067  0.6934 0.9564103 0.9358974  0.974359
## 3068  0.6933 0.9564103 0.9358974  0.974359
## 3069  0.6932 0.9564103 0.9358974  0.974359
## 3070  0.6931 0.9564103 0.9358974  0.974359
## 3071  0.6930 0.9564103 0.9358974  0.974359
## 3072  0.6929 0.9564103 0.9358974  0.974359
## 3073  0.6928 0.9564103 0.9358974  0.974359
## 3074  0.6927 0.9564103 0.9358974  0.974359
## 3075  0.6926 0.9564103 0.9358974  0.974359
## 3076  0.6925 0.9564103 0.9358974  0.974359
## 3077  0.6924 0.9564103 0.9358974  0.974359
## 3078  0.6923 0.9564103 0.9358974  0.974359
## 3079  0.6922 0.9564103 0.9358974  0.974359
## 3080  0.6921 0.9564103 0.9358974  0.974359
## 3081  0.6920 0.9564103 0.9358974  0.974359
## 3082  0.6919 0.9564103 0.9358974  0.974359
## 3083  0.6918 0.9564103 0.9358974  0.974359
## 3084  0.6917 0.9564103 0.9358974  0.974359
## 3085  0.6916 0.9564103 0.9358974  0.974359
## 3086  0.6915 0.9564103 0.9358974  0.974359
## 3087  0.6914 0.9564103 0.9358974  0.974359
## 3088  0.6913 0.9564103 0.9358974  0.974359
## 3089  0.6912 0.9564103 0.9358974  0.974359
## 3090  0.6911 0.9564103 0.9358974  0.974359
## 3091  0.6910 0.9564103 0.9358974  0.974359
## 3092  0.6909 0.9564103 0.9358974  0.974359
## 3093  0.6908 0.9564103 0.9358974  0.974359
## 3094  0.6907 0.9564103 0.9358974  0.974359
## 3095  0.6906 0.9564103 0.9358974  0.974359
## 3096  0.6905 0.9564103 0.9358974  0.974359
## 3097  0.6904 0.9564103 0.9358974  0.974359
## 3098  0.6903 0.9564103 0.9358974  0.974359
## 3099  0.6902 0.9564103 0.9358974  0.974359
## 3100  0.6901 0.9564103 0.9358974  0.974359
## 3101  0.6900 0.9564103 0.9358974  0.974359
## 3102  0.6899 0.9564103 0.9358974  0.974359
## 3103  0.6898 0.9564103 0.9358974  0.974359
## 3104  0.6897 0.9564103 0.9358974  0.974359
## 3105  0.6896 0.9564103 0.9358974  0.974359
## 3106  0.6895 0.9564103 0.9358974  0.974359
## 3107  0.6894 0.9564103 0.9358974  0.974359
## 3108  0.6893 0.9564103 0.9358974  0.974359
## 3109  0.6892 0.9564103 0.9358974  0.974359
## 3110  0.6891 0.9564103 0.9358974  0.974359
## 3111  0.6890 0.9564103 0.9358974  0.974359
## 3112  0.6889 0.9564103 0.9358974  0.974359
## 3113  0.6888 0.9564103 0.9358974  0.974359
## 3114  0.6887 0.9564103 0.9358974  0.974359
## 3115  0.6886 0.9564103 0.9358974  0.974359
## 3116  0.6885 0.9564103 0.9358974  0.974359
## 3117  0.6884 0.9564103 0.9358974  0.974359
## 3118  0.6883 0.9564103 0.9358974  0.974359
## 3119  0.6882 0.9564103 0.9358974  0.974359
## 3120  0.6881 0.9564103 0.9358974  0.974359
## 3121  0.6880 0.9564103 0.9358974  0.974359
## 3122  0.6879 0.9564103 0.9358974  0.974359
## 3123  0.6878 0.9564103 0.9358974  0.974359
## 3124  0.6877 0.9564103 0.9358974  0.974359
## 3125  0.6876 0.9564103 0.9358974  0.974359
## 3126  0.6875 0.9564103 0.9358974  0.974359
## 3127  0.6874 0.9564103 0.9358974  0.974359
## 3128  0.6873 0.9564103 0.9358974  0.974359
## 3129  0.6872 0.9564103 0.9358974  0.974359
## 3130  0.6871 0.9564103 0.9358974  0.974359
## 3131  0.6870 0.9564103 0.9358974  0.974359
## 3132  0.6869 0.9564103 0.9358974  0.974359
## 3133  0.6868 0.9564103 0.9358974  0.974359
## 3134  0.6867 0.9564103 0.9358974  0.974359
## 3135  0.6866 0.9564103 0.9358974  0.974359
## 3136  0.6865 0.9564103 0.9358974  0.974359
## 3137  0.6864 0.9564103 0.9358974  0.974359
## 3138  0.6863 0.9564103 0.9358974  0.974359
## 3139  0.6862 0.9564103 0.9358974  0.974359
## 3140  0.6861 0.9564103 0.9358974  0.974359
## 3141  0.6860 0.9564103 0.9358974  0.974359
## 3142  0.6859 0.9564103 0.9358974  0.974359
## 3143  0.6858 0.9564103 0.9358974  0.974359
## 3144  0.6857 0.9564103 0.9358974  0.974359
## 3145  0.6856 0.9564103 0.9358974  0.974359
## 3146  0.6855 0.9564103 0.9358974  0.974359
## 3147  0.6854 0.9564103 0.9358974  0.974359
## 3148  0.6853 0.9564103 0.9358974  0.974359
## 3149  0.6852 0.9564103 0.9358974  0.974359
## 3150  0.6851 0.9564103 0.9358974  0.974359
## 3151  0.6850 0.9564103 0.9358974  0.974359
## 3152  0.6849 0.9564103 0.9358974  0.974359
## 3153  0.6848 0.9564103 0.9358974  0.974359
## 3154  0.6847 0.9564103 0.9358974  0.974359
## 3155  0.6846 0.9564103 0.9358974  0.974359
## 3156  0.6845 0.9564103 0.9358974  0.974359
## 3157  0.6844 0.9564103 0.9358974  0.974359
## 3158  0.6843 0.9564103 0.9358974  0.974359
## 3159  0.6842 0.9564103 0.9358974  0.974359
## 3160  0.6841 0.9564103 0.9358974  0.974359
## 3161  0.6840 0.9564103 0.9358974  0.974359
## 3162  0.6839 0.9564103 0.9358974  0.974359
## 3163  0.6838 0.9564103 0.9358974  0.974359
## 3164  0.6837 0.9564103 0.9358974  0.974359
## 3165  0.6836 0.9564103 0.9358974  0.974359
## 3166  0.6835 0.9564103 0.9358974  0.974359
## 3167  0.6834 0.9564103 0.9358974  0.974359
## 3168  0.6833 0.9564103 0.9358974  0.974359
## 3169  0.6832 0.9564103 0.9358974  0.974359
## 3170  0.6831 0.9564103 0.9358974  0.974359
## 3171  0.6830 0.9564103 0.9358974  0.974359
## 3172  0.6829 0.9564103 0.9358974  0.974359
## 3173  0.6828 0.9564103 0.9358974  0.974359
## 3174  0.6827 0.9564103 0.9358974  0.974359
## 3175  0.6826 0.9564103 0.9358974  0.974359
## 3176  0.6825 0.9564103 0.9358974  0.974359
## 3177  0.6824 0.9564103 0.9358974  0.974359
## 3178  0.6823 0.9564103 0.9358974  0.974359
## 3179  0.6822 0.9564103 0.9358974  0.974359
## 3180  0.6821 0.9564103 0.9358974  0.974359
## 3181  0.6820 0.9564103 0.9358974  0.974359
## 3182  0.6819 0.9564103 0.9358974  0.974359
## 3183  0.6818 0.9564103 0.9358974  0.974359
## 3184  0.6817 0.9564103 0.9358974  0.974359
## 3185  0.6816 0.9564103 0.9358974  0.974359
## 3186  0.6815 0.9564103 0.9358974  0.974359
## 3187  0.6814 0.9564103 0.9358974  0.974359
## 3188  0.6813 0.9564103 0.9358974  0.974359
## 3189  0.6812 0.9564103 0.9358974  0.974359
## 3190  0.6811 0.9564103 0.9358974  0.974359
## 3191  0.6810 0.9564103 0.9358974  0.974359
## 3192  0.6809 0.9564103 0.9358974  0.974359
## 3193  0.6808 0.9564103 0.9358974  0.974359
## 3194  0.6807 0.9564103 0.9358974  0.974359
## 3195  0.6806 0.9564103 0.9358974  0.974359
## 3196  0.6805 0.9564103 0.9358974  0.974359
## 3197  0.6804 0.9564103 0.9358974  0.974359
## 3198  0.6803 0.9564103 0.9358974  0.974359
## 3199  0.6802 0.9564103 0.9358974  0.974359
## 3200  0.6801 0.9564103 0.9358974  0.974359
## 3201  0.6800 0.9564103 0.9358974  0.974359
## 3202  0.6799 0.9564103 0.9358974  0.974359
## 3203  0.6798 0.9564103 0.9358974  0.974359
## 3204  0.6797 0.9564103 0.9358974  0.974359
## 3205  0.6796 0.9564103 0.9358974  0.974359
## 3206  0.6795 0.9564103 0.9358974  0.974359
## 3207  0.6794 0.9564103 0.9358974  0.974359
## 3208  0.6793 0.9564103 0.9358974  0.974359
## 3209  0.6792 0.9564103 0.9358974  0.974359
## 3210  0.6791 0.9564103 0.9358974  0.974359
## 3211  0.6790 0.9564103 0.9358974  0.974359
## 3212  0.6789 0.9564103 0.9358974  0.974359
## 3213  0.6788 0.9564103 0.9358974  0.974359
## 3214  0.6787 0.9564103 0.9358974  0.974359
## 3215  0.6786 0.9564103 0.9358974  0.974359
## 3216  0.6785 0.9564103 0.9358974  0.974359
## 3217  0.6784 0.9564103 0.9358974  0.974359
## 3218  0.6783 0.9564103 0.9358974  0.974359
## 3219  0.6782 0.9564103 0.9358974  0.974359
## 3220  0.6781 0.9564103 0.9358974  0.974359
## 3221  0.6780 0.9564103 0.9358974  0.974359
## 3222  0.6779 0.9564103 0.9358974  0.974359
## 3223  0.6778 0.9564103 0.9358974  0.974359
## 3224  0.6777 0.9564103 0.9358974  0.974359
## 3225  0.6776 0.9564103 0.9358974  0.974359
## 3226  0.6775 0.9564103 0.9358974  0.974359
## 3227  0.6774 0.9564103 0.9358974  0.974359
## 3228  0.6773 0.9564103 0.9358974  0.974359
## 3229  0.6772 0.9564103 0.9358974  0.974359
## 3230  0.6771 0.9564103 0.9358974  0.974359
## 3231  0.6770 0.9564103 0.9358974  0.974359
## 3232  0.6769 0.9564103 0.9358974  0.974359
## 3233  0.6768 0.9564103 0.9358974  0.974359
## 3234  0.6767 0.9564103 0.9358974  0.974359
## 3235  0.6766 0.9564103 0.9358974  0.974359
## 3236  0.6765 0.9564103 0.9358974  0.974359
## 3237  0.6764 0.9564103 0.9358974  0.974359
## 3238  0.6763 0.9564103 0.9358974  0.974359
## 3239  0.6762 0.9564103 0.9358974  0.974359
## 3240  0.6761 0.9564103 0.9358974  0.974359
## 3241  0.6760 0.9564103 0.9358974  0.974359
## 3242  0.6759 0.9564103 0.9358974  0.974359
## 3243  0.6758 0.9564103 0.9358974  0.974359
## 3244  0.6757 0.9564103 0.9358974  0.974359
## 3245  0.6756 0.9564103 0.9358974  0.974359
## 3246  0.6755 0.9564103 0.9358974  0.974359
## 3247  0.6754 0.9564103 0.9358974  0.974359
## 3248  0.6753 0.9564103 0.9358974  0.974359
## 3249  0.6752 0.9564103 0.9358974  0.974359
## 3250  0.6751 0.9564103 0.9358974  0.974359
## 3251  0.6750 0.9564103 0.9358974  0.974359
## 3252  0.6749 0.9564103 0.9358974  0.974359
## 3253  0.6748 0.9564103 0.9358974  0.974359
## 3254  0.6747 0.9564103 0.9358974  0.974359
## 3255  0.6746 0.9564103 0.9358974  0.974359
## 3256  0.6745 0.9564103 0.9358974  0.974359
## 3257  0.6744 0.9564103 0.9358974  0.974359
## 3258  0.6743 0.9564103 0.9358974  0.974359
## 3259  0.6742 0.9564103 0.9358974  0.974359
## 3260  0.6741 0.9564103 0.9358974  0.974359
## 3261  0.6740 0.9564103 0.9358974  0.974359
## 3262  0.6739 0.9564103 0.9358974  0.974359
## 3263  0.6738 0.9564103 0.9358974  0.974359
## 3264  0.6737 0.9564103 0.9358974  0.974359
## 3265  0.6736 0.9564103 0.9358974  0.974359
## 3266  0.6735 0.9564103 0.9358974  0.974359
## 3267  0.6734 0.9564103 0.9358974  0.974359
## 3268  0.6733 0.9564103 0.9358974  0.974359
## 3269  0.6732 0.9564103 0.9358974  0.974359
## 3270  0.6731 0.9564103 0.9358974  0.974359
## 3271  0.6730 0.9564103 0.9358974  0.974359
## 3272  0.6729 0.9564103 0.9358974  0.974359
## 3273  0.6728 0.9564103 0.9358974  0.974359
## 3274  0.6727 0.9564103 0.9358974  0.974359
## 3275  0.6726 0.9564103 0.9358974  0.974359
## 3276  0.6725 0.9564103 0.9358974  0.974359
## 3277  0.6724 0.9564103 0.9358974  0.974359
## 3278  0.6723 0.9564103 0.9358974  0.974359
## 3279  0.6722 0.9564103 0.9358974  0.974359
## 3280  0.6721 0.9564103 0.9358974  0.974359
## 3281  0.6720 0.9564103 0.9358974  0.974359
## 3282  0.6719 0.9564103 0.9358974  0.974359
## 3283  0.6718 0.9564103 0.9358974  0.974359
## 3284  0.6717 0.9564103 0.9358974  0.974359
## 3285  0.6716 0.9564103 0.9358974  0.974359
## 3286  0.6715 0.9564103 0.9358974  0.974359
## 3287  0.6714 0.9564103 0.9358974  0.974359
## 3288  0.6713 0.9564103 0.9358974  0.974359
## 3289  0.6712 0.9564103 0.9358974  0.974359
## 3290  0.6711 0.9564103 0.9358974  0.974359
## 3291  0.6710 0.9564103 0.9358974  0.974359
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## 3575  0.6426 0.9564103 0.9358974  0.974359
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## 3577  0.6424 0.9564103 0.9358974  0.974359
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## 3588  0.6413 0.9564103 0.9358974  0.974359
## 3589  0.6412 0.9564103 0.9358974  0.974359
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## 4180  0.5821 0.9564103 0.9358974  0.974359
## 4181  0.5820 0.9564103 0.9358974  0.974359
## 4182  0.5819 0.9564103 0.9358974  0.974359
## 4183  0.5818 0.9564103 0.9358974  0.974359
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## 4188  0.5813 0.9564103 0.9358974  0.974359
## 4189  0.5812 0.9564103 0.9358974  0.974359
## 4190  0.5811 0.9564103 0.9358974  0.974359
## 4191  0.5810 0.9564103 0.9358974  0.974359
## 4192  0.5809 0.9564103 0.9358974  0.974359
## 4193  0.5808 0.9564103 0.9358974  0.974359
## 4194  0.5807 0.9564103 0.9358974  0.974359
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## 4196  0.5805 0.9564103 0.9358974  0.974359
## 4197  0.5804 0.9564103 0.9358974  0.974359
## 4198  0.5803 0.9564103 0.9358974  0.974359
## 4199  0.5802 0.9564103 0.9358974  0.974359
## 4200  0.5801 0.9564103 0.9358974  0.974359
## 4201  0.5800 0.9564103 0.9358974  0.974359
## 4202  0.5799 0.9564103 0.9358974  0.974359
## 4203  0.5798 0.9564103 0.9358974  0.974359
## 4204  0.5797 0.9564103 0.9358974  0.974359
## 4205  0.5796 0.9564103 0.9358974  0.974359
## 4206  0.5795 0.9564103 0.9358974  0.974359
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## 4208  0.5793 0.9564103 0.9358974  0.974359
## 4209  0.5792 0.9564103 0.9358974  0.974359
## 4210  0.5791 0.9564103 0.9358974  0.974359
## 4211  0.5790 0.9564103 0.9358974  0.974359
## 4212  0.5789 0.9564103 0.9358974  0.974359
## 4213  0.5788 0.9564103 0.9358974  0.974359
## 4214  0.5787 0.9564103 0.9358974  0.974359
## 4215  0.5786 0.9564103 0.9358974  0.974359
## 4216  0.5785 0.9564103 0.9358974  0.974359
## 4217  0.5784 0.9564103 0.9358974  0.974359
## 4218  0.5783 0.9564103 0.9358974  0.974359
## 4219  0.5782 0.9564103 0.9358974  0.974359
## 4220  0.5781 0.9564103 0.9358974  0.974359
## 4221  0.5780 0.9564103 0.9358974  0.974359
## 4222  0.5779 0.9564103 0.9358974  0.974359
## 4223  0.5778 0.9564103 0.9358974  0.974359
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## 4225  0.5776 0.9564103 0.9358974  0.974359
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## 4227  0.5774 0.9564103 0.9358974  0.974359
## 4228  0.5773 0.9564103 0.9358974  0.974359
## 4229  0.5772 0.9564103 0.9358974  0.974359
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## 4234  0.5767 0.9564103 0.9358974  0.974359
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## 4236  0.5765 0.9564103 0.9358974  0.974359
## 4237  0.5764 0.9564103 0.9358974  0.974359
## 4238  0.5763 0.9564103 0.9358974  0.974359
## 4239  0.5762 0.9564103 0.9358974  0.974359
## 4240  0.5761 0.9564103 0.9358974  0.974359
## 4241  0.5760 0.9564103 0.9358974  0.974359
## 4242  0.5759 0.9564103 0.9358974  0.974359
## 4243  0.5758 0.9564103 0.9358974  0.974359
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## 4249  0.5752 0.9564103 0.9358974  0.974359
## 4250  0.5751 0.9564103 0.9358974  0.974359
## 4251  0.5750 0.9564103 0.9358974  0.974359
## 4252  0.5749 0.9564103 0.9358974  0.974359
## 4253  0.5748 0.9564103 0.9358974  0.974359
## 4254  0.5747 0.9564103 0.9358974  0.974359
## 4255  0.5746 0.9564103 0.9358974  0.974359
## 4256  0.5745 0.9564103 0.9358974  0.974359
## 4257  0.5744 0.9564103 0.9358974  0.974359
## 4258  0.5743 0.9564103 0.9358974  0.974359
## 4259  0.5742 0.9564103 0.9358974  0.974359
## 4260  0.5741 0.9564103 0.9358974  0.974359
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## 4263  0.5738 0.9564103 0.9358974  0.974359
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## 4266  0.5735 0.9564103 0.9358974  0.974359
## 4267  0.5734 0.9564103 0.9358974  0.974359
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## 4271  0.5730 0.9564103 0.9358974  0.974359
## 4272  0.5729 0.9564103 0.9358974  0.974359
## 4273  0.5728 0.9564103 0.9358974  0.974359
## 4274  0.5727 0.9564103 0.9358974  0.974359
## 4275  0.5726 0.9564103 0.9358974  0.974359
## 4276  0.5725 0.9564103 0.9358974  0.974359
## 4277  0.5724 0.9564103 0.9358974  0.974359
## 4278  0.5723 0.9564103 0.9358974  0.974359
## 4279  0.5722 0.9564103 0.9358974  0.974359
## 4280  0.5721 0.9564103 0.9358974  0.974359
## 4281  0.5720 0.9564103 0.9358974  0.974359
## 4282  0.5719 0.9564103 0.9358974  0.974359
## 4283  0.5718 0.9564103 0.9358974  0.974359
## 4284  0.5717 0.9564103 0.9358974  0.974359
## 4285  0.5716 0.9564103 0.9358974  0.974359
## 4286  0.5715 0.9564103 0.9358974  0.974359
## 4287  0.5714 0.9564103 0.9358974  0.974359
## 4288  0.5713 0.9564103 0.9358974  0.974359
## 4289  0.5712 0.9564103 0.9358974  0.974359
## 4290  0.5711 0.9564103 0.9358974  0.974359
## 4291  0.5710 0.9564103 0.9358974  0.974359
## 4292  0.5709 0.9564103 0.9358974  0.974359
## 4293  0.5708 0.9564103 0.9358974  0.974359
## 4294  0.5707 0.9564103 0.9358974  0.974359
## 4295  0.5706 0.9564103 0.9358974  0.974359
## 4296  0.5705 0.9564103 0.9358974  0.974359
## 4297  0.5704 0.9564103 0.9358974  0.974359
## 4298  0.5703 0.9564103 0.9358974  0.974359
## 4299  0.5702 0.9564103 0.9358974  0.974359
## 4300  0.5701 0.9564103 0.9358974  0.974359
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## 4302  0.5699 0.9564103 0.9358974  0.974359
## 4303  0.5698 0.9564103 0.9358974  0.974359
## 4304  0.5697 0.9564103 0.9358974  0.974359
## 4305  0.5696 0.9564103 0.9358974  0.974359
## 4306  0.5695 0.9564103 0.9358974  0.974359
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## 4308  0.5693 0.9564103 0.9358974  0.974359
## 4309  0.5692 0.9564103 0.9358974  0.974359
## 4310  0.5691 0.9564103 0.9358974  0.974359
## 4311  0.5690 0.9564103 0.9358974  0.974359
## 4312  0.5689 0.9564103 0.9358974  0.974359
## 4313  0.5688 0.9564103 0.9358974  0.974359
## 4314  0.5687 0.9564103 0.9358974  0.974359
## 4315  0.5686 0.9564103 0.9358974  0.974359
## 4316  0.5685 0.9564103 0.9358974  0.974359
## 4317  0.5684 0.9564103 0.9358974  0.974359
## 4318  0.5683 0.9564103 0.9358974  0.974359
## 4319  0.5682 0.9564103 0.9358974  0.974359
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## 4334  0.5667 0.9564103 0.9358974  0.974359
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## 4337  0.5664 0.9564103 0.9358974  0.974359
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## 4339  0.5662 0.9564103 0.9358974  0.974359
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## 4345  0.5656 0.9564103 0.9358974  0.974359
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## 4398  0.5603 0.9564103 0.9358974  0.974359
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## 4409  0.5592 0.9564103 0.9358974  0.974359
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## 4411  0.5590 0.9564103 0.9358974  0.974359
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## 4417  0.5584 0.9564103 0.9358974  0.974359
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## 4442  0.5559 0.9564103 0.9358974  0.974359
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## 4444  0.5557 0.9564103 0.9358974  0.974359
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## 4449  0.5552 0.9564103 0.9358974  0.974359
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## 4456  0.5545 0.9564103 0.9358974  0.974359
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## 4459  0.5542 0.9564103 0.9358974  0.974359
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## 4463  0.5538 0.9564103 0.9358974  0.974359
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## 4472  0.5529 0.9564103 0.9358974  0.974359
## 4473  0.5528 0.9564103 0.9358974  0.974359
## 4474  0.5527 0.9564103 0.9358974  0.974359
## 4475  0.5526 0.9564103 0.9358974  0.974359
## 4476  0.5525 0.9564103 0.9358974  0.974359
## 4477  0.5524 0.9564103 0.9358974  0.974359
## 4478  0.5523 0.9564103 0.9358974  0.974359
## 4479  0.5522 0.9564103 0.9358974  0.974359
## 4480  0.5521 0.9564103 0.9358974  0.974359
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## 4482  0.5519 0.9564103 0.9358974  0.974359
## 4483  0.5518 0.9564103 0.9358974  0.974359
## 4484  0.5517 0.9564103 0.9358974  0.974359
## 4485  0.5516 0.9564103 0.9358974  0.974359
## 4486  0.5515 0.9564103 0.9358974  0.974359
## 4487  0.5514 0.9564103 0.9358974  0.974359
## 4488  0.5513 0.9564103 0.9358974  0.974359
## 4489  0.5512 0.9564103 0.9358974  0.974359
## 4490  0.5511 0.9564103 0.9358974  0.974359
## 4491  0.5510 0.9564103 0.9358974  0.974359
## 4492  0.5509 0.9564103 0.9358974  0.974359
## 4493  0.5508 0.9564103 0.9358974  0.974359
## 4494  0.5507 0.9564103 0.9358974  0.974359
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## 4794  0.5207 0.9564103 0.9358974  0.974359
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## 5095  0.4906 0.9564103 0.9358974  0.974359
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## 5395  0.4606 0.9564103 0.9358974  0.974359
## 5396  0.4605 0.9564103 0.9358974  0.974359
## 5397  0.4604 0.9564103 0.9358974  0.974359
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## 5488  0.4513 0.9564103 0.9358974  0.974359
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## 5587  0.4414 0.9564103 0.9358974  0.974359
## 5588  0.4413 0.9564103 0.9358974  0.974359
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## 5590  0.4411 0.9564103 0.9358974  0.974359
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## 5592  0.4409 0.9564103 0.9358974  0.974359
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## 5598  0.4403 0.9564103 0.9358974  0.974359
## 5599  0.4402 0.9564103 0.9358974  0.974359
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## 5601  0.4400 0.9564103 0.9358974  0.974359
## 5602  0.4399 0.9564103 0.9358974  0.974359
## 5603  0.4398 0.9564103 0.9358974  0.974359
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## 5617  0.4384 0.9564103 0.9358974  0.974359
## 5618  0.4383 0.9564103 0.9358974  0.974359
## 5619  0.4382 0.9564103 0.9358974  0.974359
## 5620  0.4381 0.9564103 0.9358974  0.974359
## 5621  0.4380 0.9564103 0.9358974  0.974359
## 5622  0.4379 0.9564103 0.9358974  0.974359
## 5623  0.4378 0.9564103 0.9358974  0.974359
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## 5626  0.4375 0.9564103 0.9358974  0.974359
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## 5628  0.4373 0.9564103 0.9358974  0.974359
## 5629  0.4372 0.9564103 0.9358974  0.974359
## 5630  0.4371 0.9564103 0.9358974  0.974359
## 5631  0.4370 0.9564103 0.9358974  0.974359
## 5632  0.4369 0.9564103 0.9358974  0.974359
## 5633  0.4368 0.9564103 0.9358974  0.974359
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## 5635  0.4366 0.9564103 0.9358974  0.974359
## 5636  0.4365 0.9564103 0.9358974  0.974359
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## 5638  0.4363 0.9564103 0.9358974  0.974359
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## 5647  0.4354 0.9564103 0.9358974  0.974359
## 5648  0.4353 0.9564103 0.9358974  0.974359
## 5649  0.4352 0.9564103 0.9358974  0.974359
## 5650  0.4351 0.9564103 0.9358974  0.974359
## 5651  0.4350 0.9564103 0.9358974  0.974359
## 5652  0.4349 0.9564103 0.9358974  0.974359
## 5653  0.4348 0.9564103 0.9358974  0.974359
## 5654  0.4347 0.9564103 0.9358974  0.974359
## 5655  0.4346 0.9564103 0.9358974  0.974359
## 5656  0.4345 0.9564103 0.9358974  0.974359
## 5657  0.4344 0.9564103 0.9358974  0.974359
## 5658  0.4343 0.9564103 0.9358974  0.974359
## 5659  0.4342 0.9564103 0.9358974  0.974359
## 5660  0.4341 0.9564103 0.9358974  0.974359
## 5661  0.4340 0.9564103 0.9358974  0.974359
## 5662  0.4339 0.9564103 0.9358974  0.974359
## 5663  0.4338 0.9564103 0.9358974  0.974359
## 5664  0.4337 0.9564103 0.9358974  0.974359
## 5665  0.4336 0.9564103 0.9358974  0.974359
## 5666  0.4335 0.9564103 0.9358974  0.974359
## 5667  0.4334 0.9564103 0.9358974  0.974359
## 5668  0.4333 0.9564103 0.9358974  0.974359
## 5669  0.4332 0.9564103 0.9358974  0.974359
## 5670  0.4331 0.9564103 0.9358974  0.974359
## 5671  0.4330 0.9564103 0.9358974  0.974359
## 5672  0.4329 0.9564103 0.9358974  0.974359
## 5673  0.4328 0.9564103 0.9358974  0.974359
## 5674  0.4327 0.9564103 0.9358974  0.974359
## 5675  0.4326 0.9564103 0.9358974  0.974359
## 5676  0.4325 0.9564103 0.9358974  0.974359
## 5677  0.4324 0.9564103 0.9358974  0.974359
## 5678  0.4323 0.9564103 0.9358974  0.974359
## 5679  0.4322 0.9564103 0.9358974  0.974359
## 5680  0.4321 0.9564103 0.9358974  0.974359
## 5681  0.4320 0.9564103 0.9358974  0.974359
## 5682  0.4319 0.9564103 0.9358974  0.974359
## 5683  0.4318 0.9564103 0.9358974  0.974359
## 5684  0.4317 0.9564103 0.9358974  0.974359
## 5685  0.4316 0.9564103 0.9358974  0.974359
## 5686  0.4315 0.9564103 0.9358974  0.974359
## 5687  0.4314 0.9564103 0.9358974  0.974359
## 5688  0.4313 0.9564103 0.9358974  0.974359
## 5689  0.4312 0.9564103 0.9358974  0.974359
## 5690  0.4311 0.9564103 0.9358974  0.974359
## 5691  0.4310 0.9564103 0.9358974  0.974359
## 5692  0.4309 0.9564103 0.9358974  0.974359
## 5693  0.4308 0.9564103 0.9358974  0.974359
## 5694  0.4307 0.9564103 0.9358974  0.974359
## 5695  0.4306 0.9564103 0.9358974  0.974359
## 5696  0.4305 0.9564103 0.9358974  0.974359
## 5697  0.4304 0.9564103 0.9358974  0.974359
## 5698  0.4303 0.9564103 0.9358974  0.974359
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## 5887  0.4114 0.9564103 0.9358974  0.974359
## 5888  0.4113 0.9564103 0.9358974  0.974359
## 5889  0.4112 0.9564103 0.9358974  0.974359
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## 5891  0.4110 0.9564103 0.9358974  0.974359
## 5892  0.4109 0.9564103 0.9358974  0.974359
## 5893  0.4108 0.9564103 0.9358974  0.974359
## 5894  0.4107 0.9564103 0.9358974  0.974359
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## 5896  0.4105 0.9564103 0.9358974  0.974359
## 5897  0.4104 0.9564103 0.9358974  0.974359
## 5898  0.4103 0.9564103 0.9358974  0.974359
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## 5900  0.4101 0.9564103 0.9358974  0.974359
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## 5902  0.4099 0.9564103 0.9358974  0.974359
## 5903  0.4098 0.9564103 0.9358974  0.974359
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## 5905  0.4096 0.9564103 0.9358974  0.974359
## 5906  0.4095 0.9564103 0.9358974  0.974359
## 5907  0.4094 0.9564103 0.9358974  0.974359
## 5908  0.4093 0.9564103 0.9358974  0.974359
## 5909  0.4092 0.9564103 0.9358974  0.974359
## 5910  0.4091 0.9564103 0.9358974  0.974359
## 5911  0.4090 0.9564103 0.9358974  0.974359
## 5912  0.4089 0.9564103 0.9358974  0.974359
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## 5916  0.4085 0.9564103 0.9358974  0.974359
## 5917  0.4084 0.9564103 0.9358974  0.974359
## 5918  0.4083 0.9564103 0.9358974  0.974359
## 5919  0.4082 0.9564103 0.9358974  0.974359
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## 5921  0.4080 0.9564103 0.9358974  0.974359
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## 5923  0.4078 0.9564103 0.9358974  0.974359
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## 5926  0.4075 0.9564103 0.9358974  0.974359
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## 5928  0.4073 0.9564103 0.9358974  0.974359
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## 5936  0.4065 0.9564103 0.9358974  0.974359
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## 5938  0.4063 0.9564103 0.9358974  0.974359
## 5939  0.4062 0.9564103 0.9358974  0.974359
## 5940  0.4061 0.9564103 0.9358974  0.974359
## 5941  0.4060 0.9564103 0.9358974  0.974359
## 5942  0.4059 0.9564103 0.9358974  0.974359
## 5943  0.4058 0.9564103 0.9358974  0.974359
## 5944  0.4057 0.9564103 0.9358974  0.974359
## 5945  0.4056 0.9564103 0.9358974  0.974359
## 5946  0.4055 0.9564103 0.9358974  0.974359
## 5947  0.4054 0.9564103 0.9358974  0.974359
## 5948  0.4053 0.9564103 0.9358974  0.974359
## 5949  0.4052 0.9564103 0.9358974  0.974359
## 5950  0.4051 0.9564103 0.9358974  0.974359
## 5951  0.4050 0.9564103 0.9358974  0.974359
## 5952  0.4049 0.9564103 0.9358974  0.974359
## 5953  0.4048 0.9564103 0.9358974  0.974359
## 5954  0.4047 0.9564103 0.9358974  0.974359
## 5955  0.4046 0.9564103 0.9358974  0.974359
## 5956  0.4045 0.9564103 0.9358974  0.974359
## 5957  0.4044 0.9564103 0.9358974  0.974359
## 5958  0.4043 0.9564103 0.9358974  0.974359
## 5959  0.4042 0.9564103 0.9358974  0.974359
## 5960  0.4041 0.9564103 0.9358974  0.974359
## 5961  0.4040 0.9564103 0.9358974  0.974359
## 5962  0.4039 0.9564103 0.9358974  0.974359
## 5963  0.4038 0.9564103 0.9358974  0.974359
## 5964  0.4037 0.9564103 0.9358974  0.974359
## 5965  0.4036 0.9564103 0.9358974  0.974359
## 5966  0.4035 0.9564103 0.9358974  0.974359
## 5967  0.4034 0.9564103 0.9358974  0.974359
## 5968  0.4033 0.9564103 0.9358974  0.974359
## 5969  0.4032 0.9564103 0.9358974  0.974359
## 5970  0.4031 0.9564103 0.9358974  0.974359
## 5971  0.4030 0.9564103 0.9358974  0.974359
## 5972  0.4029 0.9564103 0.9358974  0.974359
## 5973  0.4028 0.9564103 0.9358974  0.974359
## 5974  0.4027 0.9564103 0.9358974  0.974359
## 5975  0.4026 0.9564103 0.9358974  0.974359
## 5976  0.4025 0.9564103 0.9358974  0.974359
## 5977  0.4024 0.9564103 0.9358974  0.974359
## 5978  0.4023 0.9564103 0.9358974  0.974359
## 5979  0.4022 0.9564103 0.9358974  0.974359
## 5980  0.4021 0.9564103 0.9358974  0.974359
## 5981  0.4020 0.9564103 0.9358974  0.974359
## 5982  0.4019 0.9564103 0.9358974  0.974359
## 5983  0.4018 0.9564103 0.9358974  0.974359
## 5984  0.4017 0.9564103 0.9358974  0.974359
## 5985  0.4016 0.9564103 0.9358974  0.974359
## 5986  0.4015 0.9564103 0.9358974  0.974359
## 5987  0.4014 0.9564103 0.9358974  0.974359
## 5988  0.4013 0.9564103 0.9358974  0.974359
## 5989  0.4012 0.9564103 0.9358974  0.974359
## 5990  0.4011 0.9564103 0.9358974  0.974359
## 5991  0.4010 0.9564103 0.9358974  0.974359
## 5992  0.4009 0.9564103 0.9358974  0.974359
## 5993  0.4008 0.9564103 0.9358974  0.974359
## 5994  0.4007 0.9564103 0.9358974  0.974359
## 5995  0.4006 0.9564103 0.9358974  0.974359
## 5996  0.4005 0.9564103 0.9358974  0.974359
## 5997  0.4004 0.9564103 0.9358974  0.974359
## 5998  0.4003 0.9564103 0.9358974  0.974359
## 5999  0.4002 0.9564103 0.9358974  0.974359
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## 6888  0.3113 0.9564103 0.9358974  0.974359
## 6889  0.3112 0.9564103 0.9358974  0.974359
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## 6900  0.3101 0.9564103 0.9358974  0.974359
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## 7804  0.2197 0.9564103 0.9358974  0.974359
## 7805  0.2196 0.9564103 0.9358974  0.974359
## 7806  0.2195 0.9564103 0.9358974  0.974359
## 7807  0.2194 0.9564103 0.9358974  0.974359
## 7808  0.2193 0.9564103 0.9358974  0.974359
## 7809  0.2192 0.9564103 0.9358974  0.974359
## 7810  0.2191 0.9564103 0.9358974  0.974359
## 7811  0.2190 0.9564103 0.9358974  0.974359
## 7812  0.2189 0.9564103 0.9358974  0.974359
## 7813  0.2188 0.9564103 0.9358974  0.974359
## 7814  0.2187 0.9564103 0.9358974  0.974359
## 7815  0.2186 0.9564103 0.9358974  0.974359
## 7816  0.2185 0.9564103 0.9358974  0.974359
## 7817  0.2184 0.9564103 0.9358974  0.974359
## 7818  0.2183 0.9564103 0.9358974  0.974359
## 7819  0.2182 0.9564103 0.9358974  0.974359
## 7820  0.2181 0.9564103 0.9358974  0.974359
## 7821  0.2180 0.9564103 0.9358974  0.974359
## 7822  0.2179 0.9564103 0.9358974  0.974359
## 7823  0.2178 0.9564103 0.9358974  0.974359
## 7824  0.2177 0.9564103 0.9358974  0.974359
## 7825  0.2176 0.9564103 0.9358974  0.974359
## 7826  0.2175 0.9564103 0.9358974  0.974359
## 7827  0.2174 0.9564103 0.9358974  0.974359
## 7828  0.2173 0.9564103 0.9358974  0.974359
## 7829  0.2172 0.9564103 0.9358974  0.974359
## 7830  0.2171 0.9564103 0.9358974  0.974359
## 7831  0.2170 0.9564103 0.9358974  0.974359
## 7832  0.2169 0.9564103 0.9358974  0.974359
## 7833  0.2168 0.9564103 0.9358974  0.974359
## 7834  0.2167 0.9564103 0.9358974  0.974359
## 7835  0.2166 0.9564103 0.9358974  0.974359
## 7836  0.2165 0.9564103 0.9358974  0.974359
## 7837  0.2164 0.9564103 0.9358974  0.974359
## 7838  0.2163 0.9564103 0.9358974  0.974359
## 7839  0.2162 0.9564103 0.9358974  0.974359
## 7840  0.2161 0.9564103 0.9358974  0.974359
## 7841  0.2160 0.9564103 0.9358974  0.974359
## 7842  0.2159 0.9564103 0.9358974  0.974359
## 7843  0.2158 0.9564103 0.9358974  0.974359
## 7844  0.2157 0.9564103 0.9358974  0.974359
## 7845  0.2156 0.9564103 0.9358974  0.974359
## 7846  0.2155 0.9564103 0.9358974  0.974359
## 7847  0.2154 0.9564103 0.9358974  0.974359
## 7848  0.2153 0.9564103 0.9358974  0.974359
## 7849  0.2152 0.9564103 0.9358974  0.974359
## 7850  0.2151 0.9564103 0.9358974  0.974359
## 7851  0.2150 0.9564103 0.9358974  0.974359
## 7852  0.2149 0.9564103 0.9358974  0.974359
## 7853  0.2148 0.9564103 0.9358974  0.974359
## 7854  0.2147 0.9564103 0.9358974  0.974359
## 7855  0.2146 0.9564103 0.9358974  0.974359
## 7856  0.2145 0.9564103 0.9358974  0.974359
## 7857  0.2144 0.9564103 0.9358974  0.974359
## 7858  0.2143 0.9564103 0.9358974  0.974359
## 7859  0.2142 0.9564103 0.9358974  0.974359
## 7860  0.2141 0.9564103 0.9358974  0.974359
## 7861  0.2140 0.9564103 0.9358974  0.974359
## 7862  0.2139 0.9564103 0.9358974  0.974359
## 7863  0.2138 0.9564103 0.9358974  0.974359
## 7864  0.2137 0.9564103 0.9358974  0.974359
## 7865  0.2136 0.9564103 0.9358974  0.974359
## 7866  0.2135 0.9564103 0.9358974  0.974359
## 7867  0.2134 0.9564103 0.9358974  0.974359
## 7868  0.2133 0.9564103 0.9358974  0.974359
## 7869  0.2132 0.9564103 0.9358974  0.974359
## 7870  0.2131 0.9564103 0.9358974  0.974359
## 7871  0.2130 0.9564103 0.9358974  0.974359
## 7872  0.2129 0.9564103 0.9358974  0.974359
## 7873  0.2128 0.9564103 0.9358974  0.974359
## 7874  0.2127 0.9564103 0.9358974  0.974359
## 7875  0.2126 0.9564103 0.9358974  0.974359
## 7876  0.2125 0.9564103 0.9358974  0.974359
## 7877  0.2124 0.9564103 0.9358974  0.974359
## 7878  0.2123 0.9564103 0.9358974  0.974359
## 7879  0.2122 0.9564103 0.9358974  0.974359
## 7880  0.2121 0.9564103 0.9358974  0.974359
## 7881  0.2120 0.9564103 0.9358974  0.974359
## 7882  0.2119 0.9564103 0.9358974  0.974359
## 7883  0.2118 0.9564103 0.9358974  0.974359
## 7884  0.2117 0.9564103 0.9358974  0.974359
## 7885  0.2116 0.9564103 0.9358974  0.974359
## 7886  0.2115 0.9564103 0.9358974  0.974359
## 7887  0.2114 0.9564103 0.9358974  0.974359
## 7888  0.2113 0.9564103 0.9358974  0.974359
## 7889  0.2112 0.9564103 0.9358974  0.974359
## 7890  0.2111 0.9564103 0.9358974  0.974359
## 7891  0.2110 0.9564103 0.9358974  0.974359
## 7892  0.2109 0.9564103 0.9358974  0.974359
## 7893  0.2108 0.9564103 0.9358974  0.974359
## 7894  0.2107 0.9564103 0.9358974  0.974359
## 7895  0.2106 0.9564103 0.9358974  0.974359
## 7896  0.2105 0.9564103 0.9358974  0.974359
## 7897  0.2104 0.9564103 0.9358974  0.974359
## 7898  0.2103 0.9564103 0.9358974  0.974359
## 7899  0.2102 0.9564103 0.9358974  0.974359
## 7900  0.2101 0.9564103 0.9358974  0.974359
## 7901  0.2100 0.9564103 0.9358974  0.974359
## 7902  0.2099 0.9564103 0.9358974  0.974359
## 7903  0.2098 0.9564103 0.9358974  0.974359
## 7904  0.2097 0.9564103 0.9358974  0.974359
## 7905  0.2096 0.9564103 0.9358974  0.974359
## 7906  0.2095 0.9564103 0.9358974  0.974359
## 7907  0.2094 0.9564103 0.9358974  0.974359
## 7908  0.2093 0.9564103 0.9358974  0.974359
## 7909  0.2092 0.9564103 0.9358974  0.974359
## 7910  0.2091 0.9564103 0.9358974  0.974359
## 7911  0.2090 0.9564103 0.9358974  0.974359
## 7912  0.2089 0.9564103 0.9358974  0.974359
## 7913  0.2088 0.9564103 0.9358974  0.974359
## 7914  0.2087 0.9564103 0.9358974  0.974359
## 7915  0.2086 0.9564103 0.9358974  0.974359
## 7916  0.2085 0.9564103 0.9358974  0.974359
## 7917  0.2084 0.9564103 0.9358974  0.974359
## 7918  0.2083 0.9564103 0.9358974  0.974359
## 7919  0.2082 0.9564103 0.9358974  0.974359
## 7920  0.2081 0.9564103 0.9358974  0.974359
## 7921  0.2080 0.9564103 0.9358974  0.974359
## 7922  0.2079 0.9564103 0.9358974  0.974359
## 7923  0.2078 0.9564103 0.9358974  0.974359
## 7924  0.2077 0.9564103 0.9358974  0.974359
## 7925  0.2076 0.9564103 0.9358974  0.974359
## 7926  0.2075 0.9564103 0.9358974  0.974359
## 7927  0.2074 0.9564103 0.9358974  0.974359
## 7928  0.2073 0.9564103 0.9358974  0.974359
## 7929  0.2072 0.9564103 0.9358974  0.974359
## 7930  0.2071 0.9564103 0.9358974  0.974359
## 7931  0.2070 0.9564103 0.9358974  0.974359
## 7932  0.2069 0.9564103 0.9358974  0.974359
## 7933  0.2068 0.9564103 0.9358974  0.974359
## 7934  0.2067 0.9564103 0.9358974  0.974359
## 7935  0.2066 0.9564103 0.9358974  0.974359
## 7936  0.2065 0.9564103 0.9358974  0.974359
## 7937  0.2064 0.9564103 0.9358974  0.974359
## 7938  0.2063 0.9564103 0.9358974  0.974359
## 7939  0.2062 0.9564103 0.9358974  0.974359
## 7940  0.2061 0.9564103 0.9358974  0.974359
## 7941  0.2060 0.9564103 0.9358974  0.974359
## 7942  0.2059 0.9564103 0.9358974  0.974359
## 7943  0.2058 0.9564103 0.9358974  0.974359
## 7944  0.2057 0.9564103 0.9358974  0.974359
## 7945  0.2056 0.9564103 0.9358974  0.974359
## 7946  0.2055 0.9564103 0.9358974  0.974359
## 7947  0.2054 0.9564103 0.9358974  0.974359
## 7948  0.2053 0.9564103 0.9358974  0.974359
## 7949  0.2052 0.9564103 0.9358974  0.974359
## 7950  0.2051 0.9564103 0.9358974  0.974359
## 7951  0.2050 0.9564103 0.9358974  0.974359
## 7952  0.2049 0.9564103 0.9358974  0.974359
## 7953  0.2048 0.9564103 0.9358974  0.974359
## 7954  0.2047 0.9564103 0.9358974  0.974359
## 7955  0.2046 0.9564103 0.9358974  0.974359
## 7956  0.2045 0.9564103 0.9358974  0.974359
## 7957  0.2044 0.9564103 0.9358974  0.974359
## 7958  0.2043 0.9564103 0.9358974  0.974359
## 7959  0.2042 0.9564103 0.9358974  0.974359
## 7960  0.2041 0.9564103 0.9358974  0.974359
## 7961  0.2040 0.9564103 0.9358974  0.974359
## 7962  0.2039 0.9564103 0.9358974  0.974359
## 7963  0.2038 0.9564103 0.9358974  0.974359
## 7964  0.2037 0.9564103 0.9358974  0.974359
## 7965  0.2036 0.9564103 0.9358974  0.974359
## 7966  0.2035 0.9564103 0.9358974  0.974359
## 7967  0.2034 0.9564103 0.9358974  0.974359
## 7968  0.2033 0.9564103 0.9358974  0.974359
## 7969  0.2032 0.9564103 0.9358974  0.974359
## 7970  0.2031 0.9564103 0.9358974  0.974359
## 7971  0.2030 0.9564103 0.9358974  0.974359
## 7972  0.2029 0.9564103 0.9358974  0.974359
## 7973  0.2028 0.9564103 0.9358974  0.974359
## 7974  0.2027 0.9564103 0.9358974  0.974359
## 7975  0.2026 0.9564103 0.9358974  0.974359
## 7976  0.2025 0.9564103 0.9358974  0.974359
## 7977  0.2024 0.9564103 0.9358974  0.974359
## 7978  0.2023 0.9564103 0.9358974  0.974359
## 7979  0.2022 0.9564103 0.9358974  0.974359
## 7980  0.2021 0.9564103 0.9358974  0.974359
## 7981  0.2020 0.9564103 0.9358974  0.974359
## 7982  0.2019 0.9564103 0.9358974  0.974359
## 7983  0.2018 0.9564103 0.9358974  0.974359
## 7984  0.2017 0.9564103 0.9358974  0.974359
## 7985  0.2016 0.9564103 0.9358974  0.974359
## 7986  0.2015 0.9564103 0.9358974  0.974359
## 7987  0.2014 0.9564103 0.9358974  0.974359
## 7988  0.2013 0.9564103 0.9358974  0.974359
## 7989  0.2012 0.9564103 0.9358974  0.974359
## 7990  0.2011 0.9564103 0.9358974  0.974359
## 7991  0.2010 0.9564103 0.9358974  0.974359
## 7992  0.2009 0.9564103 0.9358974  0.974359
## 7993  0.2008 0.9564103 0.9358974  0.974359
## 7994  0.2007 0.9564103 0.9358974  0.974359
## 7995  0.2006 0.9564103 0.9358974  0.974359
## 7996  0.2005 0.9564103 0.9358974  0.974359
## 7997  0.2004 0.9564103 0.9358974  0.974359
## 7998  0.2003 0.9564103 0.9358974  0.974359
## 7999  0.2002 0.9564103 0.9358974  0.974359
## 8000  0.2001 0.9564103 0.9358974  0.974359
## 8001  0.2000 0.9564103 0.9358974  0.974359
## 8002  0.1999 0.9564103 0.9358974  0.974359
## 8003  0.1998 0.9564103 0.9358974  0.974359
## 8004  0.1997 0.9564103 0.9358974  0.974359
## 8005  0.1996 0.9564103 0.9358974  0.974359
## 8006  0.1995 0.9564103 0.9358974  0.974359
## 8007  0.1994 0.9564103 0.9358974  0.974359
## 8008  0.1993 0.9564103 0.9358974  0.974359
## 8009  0.1992 0.9564103 0.9358974  0.974359
## 8010  0.1991 0.9564103 0.9358974  0.974359
## 8011  0.1990 0.9564103 0.9358974  0.974359
## 8012  0.1989 0.9564103 0.9358974  0.974359
## 8013  0.1988 0.9564103 0.9358974  0.974359
## 8014  0.1987 0.9564103 0.9358974  0.974359
## 8015  0.1986 0.9564103 0.9358974  0.974359
## 8016  0.1985 0.9564103 0.9358974  0.974359
## 8017  0.1984 0.9564103 0.9358974  0.974359
## 8018  0.1983 0.9564103 0.9358974  0.974359
## 8019  0.1982 0.9564103 0.9358974  0.974359
## 8020  0.1981 0.9564103 0.9358974  0.974359
## 8021  0.1980 0.9564103 0.9358974  0.974359
## 8022  0.1979 0.9564103 0.9358974  0.974359
## 8023  0.1978 0.9564103 0.9358974  0.974359
## 8024  0.1977 0.9564103 0.9358974  0.974359
## 8025  0.1976 0.9564103 0.9358974  0.974359
## 8026  0.1975 0.9564103 0.9358974  0.974359
## 8027  0.1974 0.9564103 0.9358974  0.974359
## 8028  0.1973 0.9564103 0.9358974  0.974359
## 8029  0.1972 0.9564103 0.9358974  0.974359
## 8030  0.1971 0.9564103 0.9358974  0.974359
## 8031  0.1970 0.9564103 0.9358974  0.974359
## 8032  0.1969 0.9564103 0.9358974  0.974359
## 8033  0.1968 0.9564103 0.9358974  0.974359
## 8034  0.1967 0.9564103 0.9358974  0.974359
## 8035  0.1966 0.9564103 0.9358974  0.974359
## 8036  0.1965 0.9564103 0.9358974  0.974359
## 8037  0.1964 0.9564103 0.9358974  0.974359
## 8038  0.1963 0.9564103 0.9358974  0.974359
## 8039  0.1962 0.9564103 0.9358974  0.974359
## 8040  0.1961 0.9564103 0.9358974  0.974359
## 8041  0.1960 0.9564103 0.9358974  0.974359
## 8042  0.1959 0.9564103 0.9358974  0.974359
## 8043  0.1958 0.9564103 0.9358974  0.974359
## 8044  0.1957 0.9564103 0.9358974  0.974359
## 8045  0.1956 0.9564103 0.9358974  0.974359
## 8046  0.1955 0.9564103 0.9358974  0.974359
## 8047  0.1954 0.9564103 0.9358974  0.974359
## 8048  0.1953 0.9564103 0.9358974  0.974359
## 8049  0.1952 0.9564103 0.9358974  0.974359
## 8050  0.1951 0.9564103 0.9358974  0.974359
## 8051  0.1950 0.9564103 0.9358974  0.974359
## 8052  0.1949 0.9564103 0.9358974  0.974359
## 8053  0.1948 0.9564103 0.9358974  0.974359
## 8054  0.1947 0.9564103 0.9358974  0.974359
## 8055  0.1946 0.9564103 0.9358974  0.974359
## 8056  0.1945 0.9564103 0.9358974  0.974359
## 8057  0.1944 0.9564103 0.9358974  0.974359
## 8058  0.1943 0.9564103 0.9358974  0.974359
## 8059  0.1942 0.9564103 0.9358974  0.974359
## 8060  0.1941 0.9564103 0.9358974  0.974359
## 8061  0.1940 0.9564103 0.9358974  0.974359
## 8062  0.1939 0.9564103 0.9358974  0.974359
## 8063  0.1938 0.9564103 0.9358974  0.974359
## 8064  0.1937 0.9564103 0.9358974  0.974359
## 8065  0.1936 0.9564103 0.9358974  0.974359
## 8066  0.1935 0.9564103 0.9358974  0.974359
## 8067  0.1934 0.9564103 0.9358974  0.974359
## 8068  0.1933 0.9564103 0.9358974  0.974359
## 8069  0.1932 0.9564103 0.9358974  0.974359
## 8070  0.1931 0.9564103 0.9358974  0.974359
## 8071  0.1930 0.9564103 0.9358974  0.974359
## 8072  0.1929 0.9564103 0.9358974  0.974359
## 8073  0.1928 0.9564103 0.9358974  0.974359
## 8074  0.1927 0.9564103 0.9358974  0.974359
## 8075  0.1926 0.9564103 0.9358974  0.974359
## 8076  0.1925 0.9564103 0.9358974  0.974359
## 8077  0.1924 0.9564103 0.9358974  0.974359
## 8078  0.1923 0.9564103 0.9358974  0.974359
## 8079  0.1922 0.9564103 0.9358974  0.974359
## 8080  0.1921 0.9564103 0.9358974  0.974359
## 8081  0.1920 0.9564103 0.9358974  0.974359
## 8082  0.1919 0.9564103 0.9358974  0.974359
## 8083  0.1918 0.9564103 0.9358974  0.974359
## 8084  0.1917 0.9564103 0.9358974  0.974359
## 8085  0.1916 0.9564103 0.9358974  0.974359
## 8086  0.1915 0.9564103 0.9358974  0.974359
## 8087  0.1914 0.9564103 0.9358974  0.974359
## 8088  0.1913 0.9564103 0.9358974  0.974359
## 8089  0.1912 0.9564103 0.9358974  0.974359
## 8090  0.1911 0.9564103 0.9358974  0.974359
## 8091  0.1910 0.9564103 0.9358974  0.974359
## 8092  0.1909 0.9564103 0.9358974  0.974359
## 8093  0.1908 0.9564103 0.9358974  0.974359
## 8094  0.1907 0.9564103 0.9358974  0.974359
## 8095  0.1906 0.9564103 0.9358974  0.974359
## 8096  0.1905 0.9564103 0.9358974  0.974359
## 8097  0.1904 0.9564103 0.9358974  0.974359
## 8098  0.1903 0.9564103 0.9358974  0.974359
## 8099  0.1902 0.9564103 0.9358974  0.974359
## 8100  0.1901 0.9564103 0.9358974  0.974359
## 8101  0.1900 0.9564103 0.9358974  0.974359
## 8102  0.1899 0.9564103 0.9358974  0.974359
## 8103  0.1898 0.9564103 0.9358974  0.974359
## 8104  0.1897 0.9564103 0.9358974  0.974359
## 8105  0.1896 0.9564103 0.9358974  0.974359
## 8106  0.1895 0.9564103 0.9358974  0.974359
## 8107  0.1894 0.9564103 0.9358974  0.974359
## 8108  0.1893 0.9564103 0.9358974  0.974359
## 8109  0.1892 0.9564103 0.9358974  0.974359
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## 8698  0.1303 0.9564103 0.9358974  0.974359
## 8699  0.1302 0.9564103 0.9358974  0.974359
## 8700  0.1301 0.9564103 0.9358974  0.974359
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## 8702  0.1299 0.9564103 0.9358974  0.974359
## 8703  0.1298 0.9564103 0.9358974  0.974359
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## 8705  0.1296 0.9564103 0.9358974  0.974359
## 8706  0.1295 0.9564103 0.9358974  0.974359
## 8707  0.1294 0.9564103 0.9358974  0.974359
## 8708  0.1293 0.9564103 0.9358974  0.974359
## 8709  0.1292 0.9564103 0.9358974  0.974359
## 8710  0.1291 0.9564103 0.9358974  0.974359
## 8711  0.1290 0.9564103 0.9358974  0.974359
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## 8797  0.1204 0.9564103 0.9358974  0.974359
## 8798  0.1203 0.9564103 0.9358974  0.974359
## 8799  0.1202 0.9564103 0.9358974  0.974359
## 8800  0.1201 0.9564103 0.9358974  0.974359
## 8801  0.1200 0.9564103 0.9358974  0.974359
## 8802  0.1199 0.9564103 0.9358974  0.974359
## 8803  0.1198 0.9564103 0.9358974  0.974359
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## 8808  0.1193 0.9564103 0.9358974  0.974359
## 8809  0.1192 0.9564103 0.9358974  0.974359
## 8810  0.1191 0.9564103 0.9358974  0.974359
## 8811  0.1190 0.9564103 0.9358974  0.974359
## 8812  0.1189 0.9564103 0.9358974  0.974359
## 8813  0.1188 0.9564103 0.9358974  0.974359
## 8814  0.1187 0.9564103 0.9358974  0.974359
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## 8816  0.1185 0.9564103 0.9358974  0.974359
## 8817  0.1184 0.9564103 0.9358974  0.974359
## 8818  0.1183 0.9564103 0.9358974  0.974359
## 8819  0.1182 0.9564103 0.9358974  0.974359
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## 8821  0.1180 0.9564103 0.9358974  0.974359
## 8822  0.1179 0.9564103 0.9358974  0.974359
## 8823  0.1178 0.9564103 0.9358974  0.974359
## 8824  0.1177 0.9564103 0.9358974  0.974359
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## 8827  0.1174 0.9564103 0.9358974  0.974359
## 8828  0.1173 0.9564103 0.9358974  0.974359
## 8829  0.1172 0.9564103 0.9358974  0.974359
## 8830  0.1171 0.9564103 0.9358974  0.974359
## 8831  0.1170 0.9564103 0.9358974  0.974359
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## 8834  0.1167 0.9564103 0.9358974  0.974359
## 8835  0.1166 0.9564103 0.9358974  0.974359
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## 8840  0.1161 0.9564103 0.9358974  0.974359
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## 8843  0.1158 0.9564103 0.9358974  0.974359
## 8844  0.1157 0.9564103 0.9358974  0.974359
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## 8872  0.1129 0.9564103 0.9358974  0.974359
## 8873  0.1128 0.9564103 0.9358974  0.974359
## 8874  0.1127 0.9564103 0.9358974  0.974359
## 8875  0.1126 0.9564103 0.9358974  0.974359
## 8876  0.1125 0.9564103 0.9358974  0.974359
## 8877  0.1124 0.9564103 0.9358974  0.974359
## 8878  0.1123 0.9564103 0.9358974  0.974359
## 8879  0.1122 0.9564103 0.9358974  0.974359
## 8880  0.1121 0.9564103 0.9358974  0.974359
## 8881  0.1120 0.9564103 0.9358974  0.974359
## 8882  0.1119 0.9564103 0.9358974  0.974359
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## 8886  0.1115 0.9564103 0.9358974  0.974359
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## 8888  0.1113 0.9564103 0.9358974  0.974359
## 8889  0.1112 0.9564103 0.9358974  0.974359
## 8890  0.1111 0.9564103 0.9358974  0.974359
## 8891  0.1110 0.9564103 0.9358974  0.974359
## 8892  0.1109 0.9564103 0.9358974  0.974359
## 8893  0.1108 0.9564103 0.9358974  0.974359
## 8894  0.1107 0.9564103 0.9358974  0.974359
## 8895  0.1106 0.9564103 0.9358974  0.974359
## 8896  0.1105 0.9564103 0.9358974  0.974359
## 8897  0.1104 0.9564103 0.9358974  0.974359
## 8898  0.1103 0.9564103 0.9358974  0.974359
## 8899  0.1102 0.9564103 0.9358974  0.974359
## 8900  0.1101 0.9564103 0.9358974  0.974359
## 8901  0.1100 0.9564103 0.9358974  0.974359
## 8902  0.1099 0.9564103 0.9358974  0.974359
## 8903  0.1098 0.9564103 0.9358974  0.974359
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## 8906  0.1095 0.9564103 0.9358974  0.974359
## 8907  0.1094 0.9564103 0.9358974  0.974359
## 8908  0.1093 0.9564103 0.9358974  0.974359
## 8909  0.1092 0.9564103 0.9358974  0.974359
## 8910  0.1091 0.9564103 0.9358974  0.974359
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## 8912  0.1089 0.9564103 0.9358974  0.974359
## 8913  0.1088 0.9564103 0.9358974  0.974359
## 8914  0.1087 0.9564103 0.9358974  0.974359
## 8915  0.1086 0.9564103 0.9358974  0.974359
## 8916  0.1085 0.9564103 0.9358974  0.974359
## 8917  0.1084 0.9564103 0.9358974  0.974359
## 8918  0.1083 0.9564103 0.9358974  0.974359
## 8919  0.1082 0.9564103 0.9358974  0.974359
## 8920  0.1081 0.9564103 0.9358974  0.974359
## 8921  0.1080 0.9564103 0.9358974  0.974359
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## 8923  0.1078 0.9564103 0.9358974  0.974359
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## 8926  0.1075 0.9564103 0.9358974  0.974359
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## 8928  0.1073 0.9564103 0.9358974  0.974359
## 8929  0.1072 0.9564103 0.9358974  0.974359
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## 8931  0.1070 0.9564103 0.9358974  0.974359
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## 8938  0.1063 0.9564103 0.9358974  0.974359
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## 8941  0.1060 0.9564103 0.9358974  0.974359
## 8942  0.1059 0.9564103 0.9358974  0.974359
## 8943  0.1058 0.9564103 0.9358974  0.974359
## 8944  0.1057 0.9564103 0.9358974  0.974359
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## 8948  0.1053 0.9564103 0.9358974  0.974359
## 8949  0.1052 0.9564103 0.9358974  0.974359
## 8950  0.1051 0.9564103 0.9358974  0.974359
## 8951  0.1050 0.9564103 0.9358974  0.974359
## 8952  0.1049 0.9564103 0.9358974  0.974359
## 8953  0.1048 0.9564103 0.9358974  0.974359
## 8954  0.1047 0.9564103 0.9358974  0.974359
## 8955  0.1046 0.9564103 0.9358974  0.974359
## 8956  0.1045 0.9564103 0.9358974  0.974359
## 8957  0.1044 0.9564103 0.9358974  0.974359
## 8958  0.1043 0.9564103 0.9358974  0.974359
## 8959  0.1042 0.9564103 0.9358974  0.974359
## 8960  0.1041 0.9564103 0.9358974  0.974359
## 8961  0.1040 0.9564103 0.9358974  0.974359
## 8962  0.1039 0.9564103 0.9358974  0.974359
## 8963  0.1038 0.9564103 0.9358974  0.974359
## 8964  0.1037 0.9564103 0.9358974  0.974359
## 8965  0.1036 0.9564103 0.9358974  0.974359
## 8966  0.1035 0.9564103 0.9358974  0.974359
## 8967  0.1034 0.9564103 0.9358974  0.974359
## 8968  0.1033 0.9564103 0.9358974  0.974359
## 8969  0.1032 0.9564103 0.9358974  0.974359
## 8970  0.1031 0.9564103 0.9358974  0.974359
## 8971  0.1030 0.9564103 0.9358974  0.974359
## 8972  0.1029 0.9564103 0.9358974  0.974359
## 8973  0.1028 0.9564103 0.9358974  0.974359
## 8974  0.1027 0.9564103 0.9358974  0.974359
## 8975  0.1026 0.9564103 0.9358974  0.974359
## 8976  0.1025 0.9564103 0.9358974  0.974359
## 8977  0.1024 0.9564103 0.9358974  0.974359
## 8978  0.1023 0.9564103 0.9358974  0.974359
## 8979  0.1022 0.9564103 0.9358974  0.974359
## 8980  0.1021 0.9564103 0.9358974  0.974359
## 8981  0.1020 0.9564103 0.9358974  0.974359
## 8982  0.1019 0.9564103 0.9358974  0.974359
## 8983  0.1018 0.9564103 0.9358974  0.974359
## 8984  0.1017 0.9564103 0.9358974  0.974359
## 8985  0.1016 0.9564103 0.9358974  0.974359
## 8986  0.1015 0.9564103 0.9358974  0.974359
## 8987  0.1014 0.9564103 0.9358974  0.974359
## 8988  0.1013 0.9564103 0.9358974  0.974359
## 8989  0.1012 0.9564103 0.9358974  0.974359
## 8990  0.1011 0.9564103 0.9358974  0.974359
## 8991  0.1010 0.9564103 0.9358974  0.974359
## 8992  0.1009 0.9564103 0.9358974  0.974359
## 8993  0.1008 0.9564103 0.9358974  0.974359
## 8994  0.1007 0.9564103 0.9358974  0.974359
## 8995  0.1006 0.9564103 0.9358974  0.974359
## 8996  0.1005 0.9564103 0.9358974  0.974359
## 8997  0.1004 0.9564103 0.9358974  0.974359
## 8998  0.1003 0.9564103 0.9358974  0.974359
## 8999  0.1002 0.9564103 0.9358974  0.974359
## 9000  0.1001 0.9564103 0.9358974  0.974359
## 9001  0.1000 0.9564103 0.9358974  0.974359
## 9002  0.0999 0.9564103 0.9358974  0.974359
## 9003  0.0998 0.9564103 0.9358974  0.974359
## 9004  0.0997 0.9564103 0.9358974  0.974359
## 9005  0.0996 0.9564103 0.9358974  0.974359
## 9006  0.0995 0.9564103 0.9358974  0.974359
## 9007  0.0994 0.9564103 0.9358974  0.974359
## 9008  0.0993 0.9564103 0.9358974  0.974359
## 9009  0.0992 0.9564103 0.9358974  0.974359
## 9010  0.0991 0.9564103 0.9358974  0.974359
## 9011  0.0990 0.9564103 0.9358974  0.974359
## 9012  0.0989 0.9564103 0.9358974  0.974359
## 9013  0.0988 0.9564103 0.9358974  0.974359
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## 9299  0.0702 0.9564103 0.9358974  0.974359
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## 9311  0.0690 0.9564103 0.9358974  0.974359
## 9312  0.0689 0.9564103 0.9358974  0.974359
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## 9845  0.0156 0.9564103 0.9358974  0.974359
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## 9850  0.0151 0.9564103 0.9358974  0.974359
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## 9858  0.0143 0.9564103 0.9358974  0.974359
## 9859  0.0142 0.9564103 0.9358974  0.974359
## 9860  0.0141 0.9564103 0.9358974  0.974359
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## 9867  0.0134 0.9564103 0.9358974  0.974359
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## 9873  0.0128 0.9564103 0.9358974  0.974359
## 9874  0.0127 0.9564103 0.9358974  0.974359
## 9875  0.0126 0.9564103 0.9358974  0.974359
## 9876  0.0125 0.9564103 0.9358974  0.974359
## 9877  0.0124 0.9564103 0.9358974  0.974359
## 9878  0.0123 0.9564103 0.9358974  0.974359
## 9879  0.0122 0.9564103 0.9358974  0.974359
## 9880  0.0121 0.9564103 0.9358974  0.974359
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## 9885  0.0116 0.9564103 0.9358974  0.974359
## 9886  0.0115 0.9564103 0.9358974  0.974359
## 9887  0.0114 0.9564103 0.9358974  0.974359
## 9888  0.0113 0.9564103 0.9358974  0.974359
## 9889  0.0112 0.9564103 0.9358974  0.974359
## 9890  0.0111 0.9564103 0.9358974  0.974359
## 9891  0.0110 0.9564103 0.9358974  0.974359
## 9892  0.0109 0.9564103 0.9358974  0.974359
## 9893  0.0108 0.9564103 0.9358974  0.974359
## 9894  0.0107 0.9564103 0.9358974  0.974359
## 9895  0.0106 0.9564103 0.9358974  0.974359
## 9896  0.0105 0.9564103 0.9358974  0.974359
## 9897  0.0104 0.9564103 0.9358974  0.974359
## 9898  0.0103 0.9564103 0.9358974  0.974359
## 9899  0.0102 0.9564103 0.9358974  0.974359
## 9900  0.0101 0.9564103 0.9358974  0.974359
## 9901  0.0100 0.9564103 0.9358974  0.974359
## 9902  0.0099 0.9564103 0.9358974  0.974359
## 9903  0.0098 0.9564103 0.9358974  0.974359
## 9904  0.0097 0.9564103 0.9358974  0.974359
## 9905  0.0096 0.9564103 0.9358974  0.974359
## 9906  0.0095 0.9564103 0.9358974  0.974359
## 9907  0.0094 0.9564103 0.9358974  0.974359
## 9908  0.0093 0.9564103 0.9358974  0.974359
## 9909  0.0092 0.9564103 0.9358974  0.974359
## 9910  0.0091 0.9564103 0.9358974  0.974359
## 9911  0.0090 0.9564103 0.9358974  0.974359
## 9912  0.0089 0.9564103 0.9358974  0.974359
## 9913  0.0088 0.9564103 0.9358974  0.974359
## 9914  0.0087 0.9564103 0.9358974  0.974359
## 9915  0.0086 0.9564103 0.9358974  0.974359
## 9916  0.0085 0.9564103 0.9358974  0.974359
## 9917  0.0084 0.9564103 0.9358974  0.974359
## 9918  0.0083 0.9564103 0.9358974  0.974359
## 9919  0.0082 0.9564103 0.9358974  0.974359
## 9920  0.0081 0.9564103 0.9358974  0.974359
## 9921  0.0080 0.9564103 0.9358974  0.974359
## 9922  0.0079 0.9564103 0.9358974  0.974359
## 9923  0.0078 0.9564103 0.9358974  0.974359
## 9924  0.0077 0.9564103 0.9358974  0.974359
## 9925  0.0076 0.9564103 0.9358974  0.974359
## 9926  0.0075 0.9564103 0.9358974  0.974359
## 9927  0.0074 0.9564103 0.9358974  0.974359
## 9928  0.0073 0.9564103 0.9358974  0.974359
## 9929  0.0072 0.9564103 0.9358974  0.974359
## 9930  0.0071 0.9564103 0.9358974  0.974359
## 9931  0.0070 0.9564103 0.9358974  0.974359
## 9932  0.0069 0.9564103 0.9358974  0.974359
## 9933  0.0068 0.9564103 0.9358974  0.974359
## 9934  0.0067 0.9564103 0.9358974  0.974359
## 9935  0.0066 0.9564103 0.9358974  0.974359
## 9936  0.0065 0.9564103 0.9358974  0.974359
## 9937  0.0064 0.9564103 0.9358974  0.974359
## 9938  0.0063 0.9564103 0.9358974  0.974359
## 9939  0.0062 0.9564103 0.9358974  0.974359
## 9940  0.0061 0.9564103 0.9358974  0.974359
## 9941  0.0060 0.9564103 0.9358974  0.974359
## 9942  0.0059 0.9564103 0.9358974  0.974359
## 9943  0.0058 0.9564103 0.9358974  0.974359
## 9944  0.0057 0.9564103 0.9358974  0.974359
## 9945  0.0056 0.9564103 0.9358974  0.974359
## 9946  0.0055 0.9564103 0.9358974  0.974359
## 9947  0.0054 0.9564103 0.9358974  0.974359
## 9948  0.0053 0.9564103 0.9358974  0.974359
## 9949  0.0052 0.9564103 0.9358974  0.974359
## 9950  0.0051 0.9564103 0.9358974  0.974359
## 9951  0.0050 0.9564103 0.9358974  0.974359
## 9952  0.0049 0.9564103 0.9358974  0.974359
## 9953  0.0048 0.9564103 0.9358974  0.974359
## 9954  0.0047 0.9564103 0.9358974  0.974359
## 9955  0.0046 0.9564103 0.9358974  0.974359
## 9956  0.0045 0.9564103 0.9358974  0.974359
## 9957  0.0044 0.9564103 0.9358974  0.974359
## 9958  0.0043 0.9564103 0.9358974  0.974359
## 9959  0.0042 0.9564103 0.9358974  0.974359
## 9960  0.0041 0.9564103 0.9358974  0.974359
## 9961  0.0040 0.9564103 0.9358974  0.974359
## 9962  0.0039 0.9564103 0.9358974  0.974359
## 9963  0.0038 0.9564103 0.9358974  0.974359
## 9964  0.0037 0.9564103 0.9358974  0.974359
## 9965  0.0036 0.9564103 0.9358974  0.974359
## 9966  0.0035 0.9564103 0.9358974  0.974359
## 9967  0.0034 0.9564103 0.9358974  0.974359
## 9968  0.0033 0.9564103 0.9358974  0.974359
## 9969  0.0032 0.9564103 0.9358974  0.974359
## 9970  0.0031 0.9564103 0.9358974  0.974359
## 9971  0.0030 0.9564103 0.9358974  0.974359
## 9972  0.0029 0.9564103 0.9358974  0.974359
## 9973  0.0028 0.9564103 0.9358974  0.974359
## 9974  0.0027 0.9564103 0.9358974  0.974359
## 9975  0.0026 0.9564103 0.9358974  0.974359
## 9976  0.0025 0.9564103 0.9358974  0.974359
## 9977  0.0024 0.9564103 0.9358974  0.974359
## 9978  0.0023 0.9564103 0.9358974  0.974359
## 9979  0.0022 0.9564103 0.9358974  0.974359
## 9980  0.0021 0.9564103 0.9358974  0.974359
## 9981  0.0020 0.9564103 0.9358974  0.974359
## 9982  0.0019 0.9564103 0.9358974  0.974359
## 9983  0.0018 0.9564103 0.9358974  0.974359
## 9984  0.0017 0.9564103 0.9358974  0.974359
## 9985  0.0016 0.9564103 0.9358974  0.974359
## 9986  0.0015 0.9564103 0.9358974  0.974359
## 9987  0.0014 0.9564103 0.9358974  0.974359
## 9988  0.0013 0.9564103 0.9358974  0.974359
## 9989  0.0012 0.9564103 0.9358974  0.974359
## 9990  0.0011 0.9564103 0.9358974  0.974359
## 9991  0.0010 0.9564103 0.9358974  0.974359
## 9992  0.0009 0.9564103 0.9358974  0.974359
## 9993  0.0008 0.9564103 0.9358974  0.974359
## 9994  0.0007 0.9564103 0.9358974  0.974359
## 9995  0.0006 0.9564103 0.9358974  0.974359
## 9996  0.0005 0.9564103 0.9358974  0.974359
## 9997  0.0004 0.9564103 0.9358974  0.974359
## 9998  0.0003 0.9564103 0.9358974  0.974359
## 9999  0.0002 0.9564103 0.9358974  0.974359
## 10000 0.0001 0.9564103 0.9358974  0.974359
## 10001 0.0000 0.9564103 0.9358974  0.974359

Results

The model was evaluated by a set of validation metrics, achieving expressive results. For the accuracy of the model, the replication activity achieved results around 90.71% with a loss rate of 0.25%, which we believe to be a satisfactory percentage. On the other hand, the AUC of replication in the country did not reach such an expressive result when compared to the original study, being around 89.06% against 96.8% of the original study, which for a diagnostic tool can be considered not so efficient in general.

Finally we come to the conclusion that with 95% confidence, it is possible to affirm on these data that our sample distribution of the area under the curve is between 0.86 and 0.91 and a standard error of 0.013 , that is, in 95% of cases our trained model achieves a satisfactory classification accuracy with a variation that is between 86.4% to 91.7%.

# https://cran.r-project.org/web/packages/scifigure/vignettes/Visualizing_Scientific_Replication.html

library(scifigure)

exps = init_experiments(2, c("Kermany et al. 2018", "Reprodução"))
exps["analysis_plan", 2] = "unobserved"
exps["analysis_plan", 2] = "unobserved"
exps[c("experimenter","experimental_design", "analyst", "analysis_plan", "estimate", "claim"), 2] = "different"
sci_figure(exps, hide_stages = c("population", "hypothesis"), diff = TRUE)

Save Figures

# Save Figure
# ggsave("sci_figure.pdf", plot = last_plot(), width = 6, height = 4)
# ggplot(exps)