fMonteCarlo: Monte Carlo Simulations.

Description Usage Arguments Value Examples

Description

Function to estimate the total losses via the Monte Carlo simulations.

Usage

1
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fMonteCarlo(ELT, s, t = 1, theta = 0, cap = Inf, nsim = 10000,
  verbose = FALSE)

Arguments

ELT

Data frame containing two numeric columns. The column Loss contains the expected losses from each single occurrence of event. The column Rate contains the arrival rates of a single occurrence of event.

s

Scalar or numeric vector containing the total losses of interest.

t

Scalar representing the time period of interest. The default value is t = 1.

theta

Scalar containing information about the variance of the Gamma distribution: sd[X] = x * theta. The default value is theta = 0: the loss associated to an event is considered as a constant.

cap

Scalar representing the financial cap on losses for a single event, i.e. the maximum possible loss caused by a single event. The default value is cap = Inf.

nsim

Integer representing the number of Monte Carlo simulations. The default value is nsim = 10e3.

verbose

Logical, if TRUE returns 95% CB and raw sample. The default is verbose = FALSE.

Value

If verbose = FALSE the function returns a numeric matrix, containing in the first column the pre-specified losses s, and the estimated exceedance probabilities in the second column. If verbose = TRUE the function returns a numeric matrix containing four columns. The first column contains the losses s, the second column contains the estimated exceedance probabilities, the other columns contain the 95% confidence bands. The attributes of this matrix are a vector simS containing the simulated losses.

Examples

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data(UShurricane)

# Compress the table to millions of dollars

USh.m <- compressELT(ELT(UShurricane), digits = -6)
EPC.MonteCarlo <- fMonteCarlo(USh.m, s = 1:40, verbose = TRUE)
EPC.MonteCarlo
par(mfrow = c(1, 2))
plot(EPC.MonteCarlo[, 1:2], type = "l", ylim = c(0, 1))
matlines(EPC.MonteCarlo[, -2], ylim = c(0, 1), lty = 2, col = 1)
# Assuming the losses follow a Gamma with E[X] = x, and Var[X] = 2 * x and cap = 5m
EPC.MonteCarlo.Gamma <- fMonteCarlo(USh.m, s = 1:40, theta = 2, cap = 5, verbose = TRUE)
EPC.MonteCarlo.Gamma
plot(EPC.MonteCarlo.Gamma[, 1:2], type = "l", ylim = c(0, 1))
matlines(EPC.MonteCarlo.Gamma[, -2], ylim = c(0,1), lty = 2, col = 1)
# Compare the two results:
par(mfrow = c(1, 1))
plot(EPC.MonteCarlo[, 1:2], type = "l", main = "Exceedance Probability Curve",
ylim = c(0, 1))
lines(EPC.MonteCarlo.Gamma[, 1:2], col = 2, lty = 2)
legend("topright", c("Dirac Delta", expression(paste("Gamma(",
alpha[i] == 1 / theta^2, ", ", beta[i] ==1 / (x[i] * theta^2), ")", " cap =", 5))),
lwd = 2, lty = 1:2, col = 1:2)

Example output

Loading required package: MASS
       s Pr[S>=s]         L95        U95
 [1,]  1   0.9518 0.938218985 0.96538102
 [2,]  2   0.8639 0.850318985 0.87748102
 [3,]  3   0.7466 0.733018985 0.76018102
 [4,]  4   0.6340 0.620418985 0.64758102
 [5,]  5   0.5250 0.511418985 0.53858102
 [6,]  6   0.4282 0.414618985 0.44178102
 [7,]  7   0.3459 0.332318985 0.35948102
 [8,]  8   0.2835 0.269918985 0.29708102
 [9,]  9   0.2311 0.217518985 0.24468102
[10,] 10   0.1920 0.178418985 0.20558102
[11,] 11   0.1601 0.146518985 0.17368102
[12,] 12   0.1312 0.117618985 0.14478102
[13,] 13   0.1085 0.094918985 0.12208102
[14,] 14   0.0895 0.075918985 0.10308102
[15,] 15   0.0741 0.060518985 0.08768102
[16,] 16   0.0621 0.048518985 0.07568102
[17,] 17   0.0516 0.038018985 0.06518102
[18,] 18   0.0412 0.027618985 0.05478102
[19,] 19   0.0339 0.020318985 0.04748102
[20,] 20   0.0275 0.013918985 0.04108102
[21,] 21   0.0216 0.008018985 0.03518102
[22,] 22   0.0170 0.003418985 0.03058102
[23,] 23   0.0135 0.000000000 0.02708102
[24,] 24   0.0105 0.000000000 0.02408102
[25,] 25   0.0076 0.000000000 0.02118102
[26,] 26   0.0061 0.000000000 0.01968102
[27,] 27   0.0048 0.000000000 0.01838102
[28,] 28   0.0031 0.000000000 0.01668102
[29,] 29   0.0022 0.000000000 0.01578102
[30,] 30   0.0017 0.000000000 0.01528102
[31,] 31   0.0013 0.000000000 0.01488102
[32,] 32   0.0010 0.000000000 0.01458102
[33,] 33   0.0006 0.000000000 0.01418102
[34,] 34   0.0002 0.000000000 0.01378102
[35,] 35   0.0002 0.000000000 0.01378102
[36,] 36   0.0000 0.000000000 0.01358102
[37,] 37   0.0000 0.000000000 0.01358102
[38,] 38   0.0000 0.000000000 0.01358102
[39,] 39   0.0000 0.000000000 0.01358102
[40,] 40   0.0000 0.000000000 0.01358102
attr(,"rsam")
    [1]  9  1  1 20  4  6 12  5  5  6  3  2 17  4 12  4  3  5  6  1 15  7  2  5
   [25]  1  6  2  6  5  6 18  0  9  9 10 12  8  1 22  5  9  3  4  5  8  8  2  3
   [49]  1 10 13 13  3 19  5  4 15  2  1 13  4  1  8  4  4  9  9  5  3  2  4 12
   [73]  8  6  5  4  8  5  7  8  4  2  1 14 14  7  4  6  1  9  5  6  5  1  3 12
   [97]  8 13  2 22 17  3  3  6  5  2  1 10 12  4 11  1  6  5  4  8  4  8  8  6
  [121] 20  8  7  7  7  3  5 23  6  1  9  2  5  7  8 16  3  6 13  1  6  8  0  9
  [145]  5  7  0  9  4  9  5  0  1  3 10  1  1  2  6 11 12  7  2 11  2  5  6  0
  [169]  5 23  2  2 10 15  6  2  6  5 22  9  5  7  2  5  2  0 11  1  9  8  4  5
  [193] 11 11  7  3  3  6  3  2  5 10  2  6  6  4  5  5  8  3  5  6  7  5  2  3
  [217]  3  2  6  8  0  3  2  3  6  2 17  0  2  1 11  1  1  7 17 15  2  5  2  2
  [241] 17  4  5  3 10 11  3  4  5  7  2  7  4  2  1  2  4  6  0  8 28 14 19  5
  [265]  6  0  7 10  7  0  6  8  6  5 13  6  5 23 19  1  1  1  4  3  2  3  0  4
  [289]  0  8  5  2 11  3  3 33 14 10  4  1  2  2  6  9 10  3  4  1  3  4 13  1
  [313] 19 10 11  7  4  9  4  0 11  8  2  3  2 15  2  2  6  7  6  0  0 11  2  0
  [337]  5  7  3 16  3  4  0  2  8  1  0 12  3  4  7  8  9  1  5  7  6  8  1  5
  [361] 15  6  5  9  4  3  2 20  2 10  0  6  8  1  8  6  3  8  6  5  1  4 12  6
  [385]  3  5  1 16  2  4 15  7  3  3  3  4  3  2  3  2  5  9  0  5 27 14  4 20
  [409] 10  4  5  4  2  0  5  6  3  3  4  8  6  0  1  3 12  1  0  2  2 10  4  6
  [433]  2  3  6  7 11  3  3  3 14  7  1  5  6 17  5  5  0  5 11  2  3  5  6  3
  [457]  7 10  2 11  5  6  1  4  8  5  3  4  7  6  8  7  8  3  5  5  2  3  3 10
  [481]  1 14 12 15  3  3  0  4  7  9 27  3  2 10  0  0 10 12  2  3  6  5  5 11
  [505]  1  7 16  1  6 20  7  6  9  6  6 10  5  9  5  7  8 14  1  5  1  2 10  5
  [529] 20 10 13  1  7  1  5  7  5  9  3  4  2  4  4 10  6  3  6  9  5  1  2  0
  [553]  2  3 13  5  5  9 19  3 12 13  6  8  2  2  4  2  8  9  4  3  4  5  7  8
  [577]  2  1  3  5  8  2  2  6 28  3  6  0  8  5  2  1  6  2  5 12  6  5 19  4
  [601] 13  6 11  4  3  3  6 10 10  2  7 10  1  4  9  3  6  3  0  5  6  3  5  3
  [625]  7  1  1  1 21  3 16  2 21  2  5  5  4  3  3  3  3  1  7  6  6 16  7  5
  [649]  9  8  1 17  3  7  2  7  3  4 20  1  5  0  0  6  3 10  2 26  7 19  4  9
  [673] 12  0  3 10  2  5  1  7  3  1  2  3  2  1  6  8 18 11  7  9 13  4  2  6
  [697]  4  5  4  5  3  1  7  3  6  4  9  3  6 11  3  3 11  2  5  8  2  2 10  4
  [721]  4  5 11  4  3  5  8  4 15 12 23  3  2  4 17  2  2  4  7  3  2 12  3  4
  [745]  8  2  6  5  2  3 17  2  2  7  2  6  1  1  0  2  6  3  2  1 15  0  1  4
  [769] 12  5  5  1  3  3  6  9  6 14  6 14  3  9  6  6  9  3  8 19  5  3  6  4
  [793] 10  2  8  4  2  4  6 13  4  8  6  8  0 12  6  5  4  2  2  1 22  1  2  4
  [817]  5 16 11  2  2 11  6  5 13  1  6  3  8  3  6  3  8  0 17 10  6 14  2 13
  [841]  3  4 11  4  0  5  1  1  4  4  0 15  3  6  5  3  4  0  3  4  1  3 10  8
  [865] 11  3  6  4 33  7  3 14  2 11  8  6  4 13 10  4  5  2 11  6  1  5  4  0
  [889]  6  3  7  3  6  9 10  3 13  0  3  2  1  2  0  3  1  3 10  8 15  2  5  3
  [913] 12 10 13 16 16  4  4 10 21 14  4  6  3  5  3 12  2  7  7  7  3  6  4  5
  [937]  1  5  5  8  1  7  4  2  3  9 10 15 17  6  8 12 11  3  1 13  3  4  6 16
  [961] 17  3 10  8  2 18  3  6 15  4  5  9  1  5  4 19  1  5  7  3  6  0 25  8
  [985]  2  3  0 25  3 13  1 12  6  8 21  9 14  3  5  4  4 11  5  7 10  2 17  7
 [1009]  4  7  1  6  3  4  1  6  2  6 18  4  4  3  7  9  2  4  0  4  1  7  8 13
 [1033] 11  7  1  5  2  2  8  1  0  9  4  8  4  6  4  2  2  4  3  3  7 10  3  7
 [1057]  5  3  3  2 10  5  1  1 14  6 11  6  3  3  1  6 11  4  1  9 12  5  4  1
 [1081]  4  5  3  8  2  4  3  4  8  9 11  6  4  4  7  1  1 12  5  7  4  7  8  0
 [1105]  3  1  0  9 11  5  5  3  7 10  1  4  6  9  4  2  2  6  3  3  1  5 12  2
 [1129]  7  1  2  2  5  5  4  6  4  2  9  3  3  0  3  4  4 12  2  3  3  7 21  3
 [1153] 10  5  3  2  8 11 11  6 23  5  9 12  7  4 23 12  3  8 11  4  1  6  5  7
 [1177] 10  8  2  1  3  5 10  7 17 10  1  4  3  5  1  3  8  6  4  5 12 11  4  5
 [1201]  8  3  2  4  8  1 19 17  0  2  4 11  3  8  1  5  6  9 10 10  4  2  2  7
 [1225]  1  3  3  6  3  6  2 18  8  5  2 14  7  2  4  2  6  6  0  6 10  6  1  8
 [1249]  7  1  1  1 10  2  7  4  6 12  3  6  4  6  4 22  9  7  2  5  4  8  2 14
 [1273]  3 13  5  4  5  7  6  6 22  4  0  8  2  4  4  0  3  4  3  7  5 16  6  7
 [1297]  0  2  9  3  6 16  3  9 22  3  6  4  7  9  4  2 15  1  2 29 28  5 16  4
 [1321]  4  4 10  4  7  5  2  1  6  4  6  1  2  5  6  2  3  1  8 20 21 18  3  3
 [1345]  0  8  4  4  0  8  2  9  2  1  9  2  7  2 21 16  2 13 10  5  4 15  8 13
 [1369]  9  4  8  4  6 10  3  1  6  2  5  3  8 14  2  7 12  5  2  1  7  2 14  4
 [1393]  4  3  7  2  0 13 15  3  2  3  3 14  3  7  6  7  2  0  2  4  6  7  3  2
 [1417]  4  9  2  4  2  9  5 15  7  5  4  7 11 18  7  6  7  1  1  7  2  3 24  4
 [1441]  7  8  6  4  9  5  6  0  0 10 13  7  4  6  2  4  4  4  3  0  3  1  2  2
 [1465]  3  2  7  9 10  3  2  5  9 14  5 17  3  2  5  6  1 10 18 12 23  6  3  0
 [1489]  5  0  2  6  2  4  5  4  2  2  8  6  4  8 10  0  3  2 13  7  0 19  3  9
 [1513] 18  3  9 27 10 11 12  4  1  4  1  2  2  6  4 11  5  8  0  3  2  8 14  2
 [1537]  7  3  5  4  7  4  3  1 12  1  2 12 11  4 20  2  4  5  5  2  5  3  8  3
 [1561]  7  2  0  5  8  4  4  5  0  1  1 13  3  4  7  6 16  9  6  0  9  2  3 19
 [1585]  1  4  3  7  3  6  7  7  3  8  1  6  6  4  8  5 12  5  1  4  2  3  5  1
 [1609] 35  6  5  6  6  4  5  6  5  2  7  0  2 14 26  5  1 18  5  5 21 32  1  6
 [1633]  3 20  6 10  6  7  9  9  3  6 10  5  1 21  3  2  6  6  6  6  2 21  8  6
 [1657]  1  3 10  5  1  7  5  5 21 11  3  1  4  1 17  2  5  7 18  5 14  8  9  3
 [1681]  3  0  2  2  3  5  2  0  8  4 21  2  3  7  2  6  3  5  9  5  2  9  0  1
 [1705]  6  3  4 18  8  9  5  4  0 10  9  8  2  8  2  2  2  2  4 10  6 10  3  5
 [1729]  0  5  6 26  5  1  6 20 13  2  2 10  3  1  4  4 10 14  2  7  3  4  9 11
 [1753]  3 10 16  2 10  4  1  1  5  0  7 12  4  5  5 10 10  1  2  4  8  1  4  1
 [1777]  2  4  3  4 11  1 14  5  4  3  2  5 17  4  4  8  4  0  6  3 13  1  0 24
 [1801] 20  1  4  2  2  9 17  7  3  2 11  6  0  5 11 10  3  5  7 12 18  1  1  2
 [1825] 11  8  4  1  4  1  2 14  2 14  7  4  5 12  2  2  2  7  9  2  3  7  6  0
 [1849]  6  4  8  4  4  1  2  2  3  3  3  9  5 12  2 26  1  5  5  4 15  4  7  9
 [1873]  3  7 10  7 20  7 16  6  2  5  8  6 18 13  3  2  4  2 11  1  3  4 12  7
 [1897]  4  0  2  4  6  6  1  5 22  6  3  2  3  0  4  1  9  1 12  2  0  4  2 14
 [1921]  2  6  9  9  1  6 16  3  2 23  4 10  1  3  4 15 17  7  0  6 17 11  3  2
 [1945]  5 14  7  7  4  0  2 12  2  1 14  5  7  5 18  5  7  3  4  5  3 17  4 13
 [1969]  5  9  4  2 15  8  9 12  1  7  1  6 10 14  5  4 13  2  1  9  2  5 30 11
 [1993] 10  5  7  2  4 10 10 16 13  6  2 30  6  8  5  3  6 10 15  5  4  8  6  4
 [2017]  7  0  8  3  1  4  3  5  2  2  5 15  2 12  6  2  6 10  9  2  0  1  3 15
 [2041]  3  3  8  6  4 16  3 11 20  6 14  4  2 16  1 12  6 31  4  4  5 11  9  3
 [2065]  8 23  1 15  7 14  2  6 17  5  9  5  3  1  6 12 11  3  1  1  1  2 17  0
 [2089]  4  1  5  9 15  3  5  4  9  2  2  2  3  5 14  6  2  4  6  7  7  1  3  3
 [2113]  4  7  1  6 24 12  6  3  2  2  6 10  0 16 14 11  0  5  2  1  3  6  3 12
 [2137]  3  7  1  3  9  1 10  0  1  0 11  6 13  4  2  6  2 12  6  3  4  3 12  4
 [2161] 17  4  5  1  2  2 13  5  5  0  6  4  4  7  2 11  5  9  3  2  2 12  5  8
 [2185] 20  3 12  9  6 22  1  3  6  0  9  8 17 11  8  7 10 16  4  1  2 16  8 13
 [2209] 17  2  5  0  4  2 12  1  6  4  3  6  3 10  6  6 14  5  2  4 10  7  1  1
 [2233]  2  9  1  5 11  7  6  3  5  7 18  5 10  3  2  1  8  8  6  1 24  2  6  4
 [2257]  3 20 12  3  0  4 14  3  4  6  1  2 13  2  4 12  6  0  1  5  2  8  2  2
 [2281]  3  6 24  2  2  9  5  9  1  1  4  3 13 11  0  9  6  7  0  0  1  1 17  1
 [2305]  1  9  4  6  2  3  8 28 15  0  1  6  7  8 10  4  1  4  9  3  5  2  4  1
 [2329]  6  4  2  5  3  1  4  4  2  1  2  3  1 10  9  6  7  2  9  2  0  2  9  1
 [2353]  3  2  1  5  0  7  2  4  7  1  6  7  2  2 25  3  3 11  7  1  4 12  4  4
 [2377]  1  1  6  4 13 15  9  1  1 10  2 18  4  3  6 10  1 11  2  2  7 14  6  6
 [2401]  2  5  6  3  8  7  7 10  3  8  8  2  6  2 11  1  5 13 19  4  5  5  0  1
 [2425]  1  5  3  4  0  5  6  9  4  1  7  2  7  3  1 10 10  8 17 17  6 15  4  7
 [2449]  3  1  5  3  4 19  1 11  2  2  4  5 12  2  4  5  5  2  1  7 18  5  0 10
 [2473]  5  1  5 12  2  5  7  1  3 16 15  5  0  4  1 11  3  2  7  6  3 11  0  2
 [2497]  3 10  2  6  1  4 10 16  3  2 27  1  2  3 11  1  3  2  8 18  4  3  5  2
 [2521]  5  4  9  2  8 14  0  3  3 20  2 22  2  9  0  3 10  4 12  4 18 15  5 10
 [2545]  0  7  3  6  5  5  6  3 16  7  6  6  7  8  3  2  4  8  1  3 11  2  8  4
 [2569]  1  9  8 11  6  1 13  5  3  5  3  7 12 35  6  5  1 11  4  7  1 18  4  7
 [2593]  2  7  5  5  1  6  9  1 12 12  8  0 10  2  5  4  7  6  5  4  2 22  5  3
 [2617]  3  3  3  8 11  2  7  2  2  3 10  4  8  4  2 11  2  4  5  6  1  1  0  8
 [2641]  2  2 18 12  2 12 12  8  5  1  2 10  2 16  1  2  6  5  4 13  4  4  0  8
 [2665]  3 15  8  2  8  2 13  8  1  5  4 12  7  2  7  2 24  4 11  4  9  7 24  3
 [2689]  9 12  1  7  3  7  0  7  7  5  4  0  1  2  6  4  4  9 10  1  5 13  1  7
 [2713]  6  9  1  0  1  3  7 21  8  2  0  3 18  1  2  0  5  6  3  7  4  4  6  3
 [2737]  6  4  7  1 14  4  2 10 11  4  7  6  5 13  4  4  4  2  3  3  6  2 11  6
 [2761]  1  6  3  5  1  6  2  1 10  4  5  2  8  1  5 13 10  1  2  0  6  0  0  8
 [2785]  4  2  4  7  9  8  2  9 17  7  1  1  1 11  7  7  1  1  9  6 12  4 10  7
 [2809]  0  3  1  4  9 11  5  4 14  8 24 10 13  6  5  6  0  7  5  8 10 11  5 13
 [2833] 17  2  6  3  2  5  6  7  9  2  2  6  6 13  1 19  1  3  3 12  3  2  0  4
 [2857]  2  0 20  3 13  8  8  5  3  6  0  0  1 25  5  3 11  3 14  8  2  4  5  6
 [2881] 16  5  2  1  3 20  6  1  7  3  3  1  6  1  7  6  1  2  3  6  5  0  6 20
 [2905]  2  6  1  8  2 16  5  2 10  7  3 14  2  6  4  3  6  4 15  1  4  7 19  1
 [2929]  4  2  4  0 14  7 12  1  3  3  4  8  0  1  1  4 14  8 14  0  4 12 12  4
 [2953]  6  0  2  8  5  8  1  4  9  1  3  0  6  9  3  5  7  3  3  4  3  6  2  0
 [2977]  8  3  8  3  7  2  3 13 14  9  2 10 12  1  5  6  6  2  7  4  8  8  2  3
 [3001]  5  6  2  4  5  1  3  1 18  8  4  2 21  2  3 24  8  3  1  5 13  3  1  4
 [3025]  6  2  5  6 20  8 12  6  5  1  5 10  9  0  3  0  8  4 12  2  7  9  0  3
 [3049]  5  5  3  2  7  2  6  4  5  1  2  1  6  7  3  6  1  8  0  7  2  1  2  6
 [3073]  8  4  3  5  5  3  0  5  3  5  6 11  5  5  5  3 11  2  0  6 13  5  1  8
 [3097]  3  5 16  7  1 10  2  9  7  5  3  9  4  2  8  5  7  4  1 19  3  4  9 15
 [3121]  6 18  2  3  5  7 10  3 15  0  1 10 13  3 19 10  2  6  3  2  9  3  8 12
 [3145]  1 15 11  4  3  3 13 10  1  2  4  5  1  3  2  1  3  8  8  2  7  3  3  6
 [3169]  1  3  5 17  5  4  0  4  4  5  4 13  9  9  2  2 28  0 29  3  6  7  2  4
 [3193]  0  6  2  6 10  2  1  0  4  4  3  8  2  0  8  4 11 12  9  3  4 12  0  3
 [3217]  8  8  2 10  4  5  3  2  9  2 21 12  2  4 14  4 21  7  3 13 10  5  4  1
 [3241]  5  1  2 17  3  2  5  6  2 21  6  1  4  5  4  8  3  1  7  3  4  9 16  3
 [3265]  4  6 10  2  8  5  7 14  2 25  9  2  4  4  1  1  4  4 11  5  7  2  6  4
 [3289]  3  3  0  5  2 12  3  2 14  8  1  5 12  1  8  6  2  6  1  5  3  2 12  4
 [3313]  2  6  8  7  4  6  6  1  9  1  7  3 15  2  3  2 13  0  3  4  6  2  2  2
 [3337]  6  4  6  1  4 18  3  1 12  0 14  6  5  3  7  9  4  2  7  3  8  9  2  7
 [3361]  3 16  2  5 19  1  4  4  2  7  8 26  6  8  6  4  4  5  3  0  4  1  2  5
 [3385]  3 13  4  2  1  3  2  2  0  4  4  7  7 10  4  2  7  7  2  2  2  6  4  4
 [3409]  4  9  1 10  7  2  0  6  5  1  2  3  9  5  2 12  5  1 11  0  4  2 24  7
 [3433]  3  2  5  2  2 10 10  7  6  7  8  4 18  3  3  2  6 14  1  4  6  3  2  8
 [3457]  1  7  2 13  1  6  9  2 13  0  4  0  7  9  4  5  3  5 12 11  4  6 11 11
 [3481]  2 12  3  1  8  5  5  6  1 12  7  6  5  8  2  7  4  5  5  3  8  2  2  2
 [3505]  3 16  9  3  7  2  5  2  3  2  4  2  2  2  9  0  3  6  3  0  8  7  1  1
 [3529]  6  1  1 16  7  2 18  4  2  6  0  7 12 28  2  0 10  5  5  5  4  5  6  4
 [3553]  8  4  6  2 17  1  5  7  5  9  5  5  3  6  2  2  6  5  3  2 19 17  8  3
 [3577]  4 12  0  5  0  0  1  4  1  1 12  3 10  8  4 12  4  6 17  4  3  7  2  3
 [3601]  7 11  1  6  3  4  1  8  8  1  8  0  3 10 11  2  8  8  3  2  8  5 19  3
 [3625] 13  3  5  2 14 10  5 11  0 14 19  6 12 11  4  1  3  6  1  4  6  0  4 15
 [3649]  0  4  0  0  4  4  3  3  1  5 16  4  3 15  5  6  6 14  6  2  4  4  1  4
 [3673]  0  5  7 19  1  4 21  8  2 11  6  2 15  2  8  2  5  5  1  5  6  1  0 11
 [3697] 14  4  1  3  0  4 16  5  8 10 14  3 17  5 14 16 20  5  2  9  1  8  2  4
 [3721]  8  2 20  6  9  2  6  5 11  2  3  1 20  8  5  3  7  7  2  2  1 11  7  3
 [3745]  3  6  4  6  5  4 14 17  5  3  3  1  1  7 27 11 16  8  5  8 13  8  8  2
 [3769]  9 10  9 15  7  2  2  6  2  1  6  5 21 10  7 25 14  5  5 10  6  1  0  4
 [3793]  2  8 10  4  1  4  0  1  9  3 20  8  7  5  3  3  1  5 11  2  1  5  1  5
 [3817]  5  7  5  3  2  5  5  1  7  2  0  9  2 12 11  6  8 12 22  0  9  5  2 10
 [3841]  0  7  1 13  6  6  2 12  0  3 16  8  4  6  2  2  0  2  8 16  1  1  4 10
 [3865]  2  5 13  1  2  4  3  8  2 15 13  4 13  2  3  4  0  3 11  2 16  2  2  2
 [3889]  9  3  7  8 17  3  1  3  2 19  3 17  6  1  3  3 11  5  1  4  1 15  7  4
 [3913]  2  3  5 14  8  9  8  8  1  3  9 10  7  7  2 12  3  2  7 17  1  6  5  6
 [3937]  5 10  0 12 13  7  5  4  0 11  6  5 11 14  4  8  1  4  5  5  1 14  3  2
 [3961]  8  4  4  8  1  6  9  3  1  0 14 13  7  7 13  2  5  1 12  4  4 11  6 13
 [3985]  9  3  9  3  5 13  3  3  3 13 13  5  2  1  3  0  3  2  6  2 11  0  8 20
 [4009]  2 12 15 14  2  3 12  4  6 13  2  1  1 23  3  5  3  3 13  9  2  5  4  9
 [4033]  0  6 17  8  8  0  0  0  5  5  5 13 10  5 16  2  7  1 11 18  4  1  2  9
 [4057]  3  8  1 15  3  5  8  2  3  6  3  3  1  0  2  1 23  7  3  2  5  3  9  5
 [4081]  5  4  3  4  5  6  4  7 20  3  9  7  3  7  5  8 11 13 13  2 16  3  5  6
 [4105]  3  0  4  3 11  2  1 19  0  9 16  5  5  5  9  1  4 16  1  2  9  6 11  3
 [4129]  2  6  9  4  2  3 11  8  4  3  4  0 18  4  2  4  6 23 11  4  1  7  8  9
 [4153]  5  5  0  1  3  6  5 20  5  4 17  9  4  3  7  6  2  1  5  9  6  4  2  5
 [4177]  2  3  0  1  7  8  2  1  6  5  3  9 24  1 15 11  5  4  0 19 11  2 10  2
 [4201]  1  7 10  5  3  2  8  2  4  8  1  5  2  3  4  1  7  4  7  6 11  3  4  2
 [4225]  1  0  3  5  6  4 14  2  2 15  5  1  4  4  4 15  6  4  2  3  7  5  4 10
 [4249]  4 20  7  9  2  4  4  2  0  5  0 11  8  4 11  8 12  4  1  7 12  2 11  9
 [4273]  3 11  3  4  0 12  8  2  8  1  4  6  0  5 14  3  3  2 14  1  2  6  0  9
 [4297]  7  8  2  4  8  1  3  3  4  3  9  6  4  3  4  4  2 15  3 10  6 13 19  0
 [4321]  7 14  2  2  0  2 10  2  4 13  6  3  5 14  9  2  4  5  8 13  3  6 23 14
 [4345]  4 17  4  9  4  4  9  4 10  4 11  4  4  2 14  8  0  0  6  0  6 13  3  6
 [4369] 11  9  3  2  0  2  4  6  3  2 11  1  9  5  2 11  2 13 13  2  1  2  3  3
 [4393]  6 32  8  4  9  5  1  8 16  2  1 15  7  2  6  3  2  5  6  2 20  3  6  5
 [4417] 17  3  2  4  2  0  3  0  6 19  7  8  2  0  5  1  6  0  5  3 10  5  0  5
 [4441]  6  1  5 24 15  6  8 16  0  1  0  4  6  4  1 12  3  1  2  7  4  1  4  5
 [4465]  1  0  1 12  9 11  4  7  7  2  3  5  7  6  0  5  2  3 18  4  0  7  2  8
 [4489]  2  2  1 15  4  5  3 15  4  5  5  6  2  2  6 10 10  3  7  2  7  2  4  3
 [4513]  1  3  9 14  0 22 11  9  1 15  1  6  9  3  0  8  2  8  2  5 12 16  6  3
 [4537]  6  7  7  0  2  7  4  8  5  8 15  2  4  2  8  3  9  0  8  2  7  4 21  5
 [4561]  8  7  1  4  6  2  5 10 10 16  6 11  2 18 18 20  5  2  8  3 14  2  9  4
 [4585] 13  4  3 14  5  5  1  5  3 16  5  3  6  7  5  6  9  8  5  4  5  9  1  8
 [4609]  7  3 16  6  4  9  2  7  2  3  5 13  9  5  4  7  6  6  6 16  2  7  0 19
 [4633]  4  1 12 15  7  5  0  6  7  0  7  9 12  7  6  5  2  3 15 13  5  7  6  8
 [4657]  0  0  5  8  2  1  8  1 16  3 10  7  6  2 12  9  9 10  2  4  9 12  4  4
 [4681] 16  6  4  2  0  4  8  5  1  3  5 11  6  0 11 18  2  2  0  2  4  9 10  2
 [4705]  2  9  2  9 24  5  2  2  8  2 32  8  2  1  3  5  8  2  0  4  4  6  7  5
 [4729]  6  1  6  2  4  4 10  7 12 11  3  6  3  3  5  3  1  2  5 18  7  3  4 14
 [4753]  0  2  3  4 11  3 18 24  5  8  2  5  5  4  9  3  5  6  6  7 10  6  4 17
 [4777] 13  4  4  5  6  7  8  1  1  2 10  4  3  5 10  3  3  3  4  5  9  6  4  3
 [4801]  2  9  5  1  0  3  6  4  1  5  3  6  3  4  9  4  7  2 13  3  5  2  1  4
 [4825]  9 21  4  8  3  2  2  5 16  3 14  4  4  2 15  6  3  6  5  3 12  1 10  2
 [4849]  3  5  2  2 12  6  6  3  1  7  0 11  5  5  6  2 10 10  8  2  3  4  4  4
 [4873]  9 13  1  2 15  3  5  7  1  3  0  5  2  4  7  3 25  4  7 14  3 16  2  7
 [4897]  4  4  6  4  7 21  2  9  3 14  9 20  6  4 11  4  2  0  3  5  5  8  4  2
 [4921]  2  6 12  1 11  3  5  8  2  7  5  7  3  8  1  1  4  1  3  4  3 15  5  3
 [4945]  3  9 15  1  0 12  5  2  4  6  8  0  5  3  0 13 20  1  5 12 11 17  5 13
 [4969]  1  6  8  4  6  2 19  5  5  5  9  5  2  6  4 14  1  2  7  8  5  1  6  2
 [4993]  7  2 11  6  2  7  3  2  9  5  5  7  6  4  8  7 10  3  6  2 11  4 21  3
 [5017]  5 26 11 12  6 14  4 10  5  5 14  3  4  8  1  5 12  3  0 10  3 11  6  6
 [5041]  8 16  2 11 19  2  6 10  1  3  4  7 14  9  4  3  2 10  3  6  4  9  5  2
 [5065]  8  4  7  8 12  4  1  0  4  7  6  4  0  4  1  1  7  7 10 18  4  1  4 10
 [5089] 10  5  8  3  5  4  3  5  4  5 13  3  0  2  2  2  3  3  3 15  2  2  4  8
 [5113]  0 12  4  7  3 22  5 25  3 17  4  1  6  5  4  1  7  4  8  4  5  3  4  1
 [5137]  9  3  6  3  5 12 19  5 15  8 10  4  7  2  5  2  2  5  6  6  6  7  4  5
 [5161] 16 25  2  1 21 19  0  4  9 14  3 23  2  1  8  6 11  8 17  6  5  4  1  9
 [5185]  0  2 10 23  3  3 16  0 16  0  4 11  2  1  1  8  6  6  2  4  9  1  7  5
 [5209]  4  9 19  2  2  2  7  7  6 11  3 11  4  3 17  5  8  0  3  3  4  6  9  2
 [5233]  1  7  5  1 20  5  2 13 26  5  3  5  6 16 11  7  1  6 11  1  6  3  5  4
 [5257]  6 13  3  3  3  3  8  2  7 12  1  6  6  6  2  0  4  4  7  1  2  7  2  3
 [5281]  1  6  6  7 19  0 13  0  6  5  2  8 10  2  1  5  5  4  4  4  1  5  3  6
 [5305] 10  4  3  5  8  2  3 20  2  5  0  0 10  0  6  3  3  5  1  8  0  1  2  5
 [5329]  4 12  6  5  7  6  3  2  5  2 14  0  3  2  3  1  6 11  8 19  1  4  5  5
 [5353]  2 12 13  4  7 12  7  6  1  2  9 16 23  1  8  2  5  5  7  6  6  5  0  1
 [5377] 13  7  3  6  2  5  4  1  6  2  3  4 17 12 17 13  6  5  4  0  2  1  6  8
 [5401]  0  0 12  0  5  3  3  8  5  3  1  2  1 12 17 15  4  8  3  1 14  8 14  3
 [5425]  1  3 10  3  5  3  3 12  2  6  3  2 11  3 12  0  2  7 13 20  9  4  5 14
 [5449]  4  4  1  9 11 10  1  5  4  8  5  2  2  8  5  7 15  4  5  9  5  8  5  8
 [5473] 11 11  1  8  1  3 11  5  5 10  5 11  4  3 11 19  7  2  2  1  2  6  2  9
 [5497]  4 12 17  8  7  4  7 14 12 11 12 11  2  0  3  4  2  3 15  4 15  2  7  6
 [5521]  2  1  8  8  3  4  2 11 11  3  5 10  2  4  8  0  7  4  3  7 15 18  1 11
 [5545] 14 21 27  4  7  5  0  4  1  5  2  6  1 12  3  7  4  3  2  6  9  5 14  2
 [5569]  4  4 22 20 27  9  2  8  7  4  0 18  7  5  9  4  6 17 13  9  3  8  3  2
 [5593]  3  5 10  8  3  3  4  2  5  1  6  7 14  7  1  2  8  3  1  4  6  1  9 24
 [5617]  3  7  4  1  1  1 10 10  0  9  6  3  6  3 22  2  6  4  2  1  6  3  5  3
 [5641]  7 12  4  4  5  4  4  4  1  3  4  1  7  3  3  3  3  2  1  1  7  4  5 19
 [5665] 12 21  3  2  7  4  8  6  2  4  6  4  9  5  5 12  8 13  5  6  8  3  2 15
 [5689]  3  4  2  7  8  7  5  7  3 11  2  6  3  8 16  6  7 10  2  5 21  8  7  5
 [5713]  6 24 21  7  4  2 15  6  6  4  2  2  6 24  1  7  6  0 14 22  3  5  9  8
 [5737]  5  2  3 10 15  8  3  2  1 11  6  7  0  4  0  5  2  3 10  8  5  2 13  1
 [5761]  7  6  1  5  4  8  3  6  2  4  0  1  4  5  5  1  3 10  3  7 14 16  5  3
 [5785]  0  1  4  2  4  6 10  8  8  1  2  2  2  1 16  2  2 15  6  5  1  0  8  7
 [5809]  6 20 17  0  8  7  1  7  3  3  5  3  5  5 21  3  1  3  5 10  0  0  2  2
 [5833]  3 12  3  1  1  9  2  0 11  2  5  6 11 16  3  7  9  8 10 11  5  6  2  7
 [5857]  7  1  1  7  7  1  8  9  5  0  6  3  0 31  5  3  1  3  4 10 13  2  7  2
 [5881]  3  9  4  5  0  5  4  8  2  4  8 11  7  5 18  1  9  7  4  0  5  3  0  6
 [5905]  7  4 19  2  2 10  3  2 11  4  3  7  7  2  6  4  2  0 14  2  7  3 16  2
 [5929] 23  7  3  7 12  2  5 12 14  9  2  6  4  7  2  5  7  7  1  9 25  4  6  3
 [5953]  9  5 12  3  0  4  7  3  3  7  5  3  3  5  0  3  4  6  4  5 10  3  0  7
 [5977]  3  3  3  6  1  7 10  1  4  3  5 13  1  3 10 12  6  5 18  2 10  3  2  1
 [6001]  4  2  5  6  4  6  7  6  6  2  3 10  8  3  0 11  4  7 24  3  9  5  6  4
 [6025]  6  3  8  3  6  5 13  1  4  5  6  1  5  6 22 25  2  5 14  6  9  8 23  6
 [6049] 11  7  6  7  6  2  2  4  2  3  4  2  0  8  5  2  6 16  5 12  3  6  1  5
 [6073] 10  8 10  3  2  6  5  2  2  6 13  8  3 11 11  6  6  6  7  5  1  8  0  6
 [6097]  3 11  3  7  2  1  6  5  5  0 16  2  4  2 11  3  6  4  1 21  5  0  3  7
 [6121] 11  2  6  8  3  3 22  1  6 24 10  1  3  6 13  2  1  5  8  8  7 10  4  5
 [6145]  7  8  9  6  1  6 13  4 10  3  2 20  5  1  4  6 11  2  4  0  8  5  3  1
 [6169]  9  4  4  7  3 15  4  2 18  2  3  2  2  1  2  3  4  2  6  5  1 20  9  0
 [6193]  7 28  1  2  7  1  4  2  9 12  2  5  8  0  2  3  8  3 15  6 21  5  5  3
 [6217]  2 14  8  1  6  5  5  6  8 27  4 11  0  5  9  4 15  4  4 17  5  2  3  1
 [6241] 10  9  3  4  3  1  9  9  2 10  8  1  9  1  2  6 12  1  3 21  4  0  1  8
 [6265]  3 12  9  8  7 11  2 15 11  7 20  1 12  4  5  2  1 12  5 10  4  8  4  1
 [6289]  4  9  4 17 11  9 13  3  0  4 17  9  1  1  5 11 13  8  3  1  4  2  5  6
 [6313]  7  1 20  4  2  8  1  1  4  4  6  7 23  2  9  2  3  3  4  1  1  5 21  0
 [6337] 11  3 14  2 22  3  8  3 12  6  0 12  0  0 10  6 13  4  5 13 24  7 11  9
 [6361]  0  4  1  3  3  6  3  3  2 14 16  1  6  4  4  5  6  1 15  3  5  3  3  1
 [6385]  4  4  4  6  5  1  0  1  0  8  5  9  2  5  2  5  5 19  1  3  0  8 14  5
 [6409]  6 10 17  3  9 24 17  5  2  4  1  2 11  5  5 12 14  2  5  2 17  9  1  2
 [6433]  8  1  4  2  3  0  8  4 19  3  1  4 18  7  2  2 13  0  4  6  3 31 11  5
 [6457]  5  2  2  3  1  3  4  5  5  3  8  3  0  0  5  5  5  2  2  2 17  2  1  7
 [6481]  8 29  6  4  4  1  5  1 25  8 12  1  2 10  2 14  1 15  0 11  8 27  5  6
 [6505] 12  0 18  5  4  2  0  8 16  8  2  4  2  1  2  1  5  1  6  4  2  7  8  9
 [6529]  1  3  5  1  2 22  4  2  5  8  3  4 13 13  4  1  5  8  1  2  2 14  5  7
 [6553]  8  5  5  9  4  7  0  7  9  1  6 13  0 12  4 11  0  3  5  3  3  4  8  7
 [6577] 10  5 11  1  6  9  0  5  7 15  1  5 28  2  2  3 15 17  2  5  2  5  4  2
 [6601] 11  5  3  2 19  8  3 10  4  4  4 13  8  8  3  2  9 12 19 11  4  3  2  4
 [6625]  2  2 10  4 10  8  5  3  3  4 10  1  7  3  2  1  2 18  3  8 13  6 16  8
 [6649]  2  3  7  7  3 22  2  5 13  0  8  6  1  2  5 10  0  4 11  3  2  1  3  1
 [6673]  7  0  1  2  7  3 11  5  4  5  1  3  6  0 21  2  2  6 10  2  4  8  8  2
 [6697]  3  5  8  4  1  4  9  3  9  3  3 17  4 15  9  6  3  3  3  3 11 12  2  5
 [6721]  7  1  6 14  4  7  6  2  4  5  1 10 18  6  4 14  6  4  2  9  2  2  7  5
 [6745]  2  5  8  5  6  2  9  1  6  1  6  8  6  7 13  4  4  7  5 11 11 11  2  1
 [6769] 27  2  4 21  8  4  5  4  1  4  2 10  4  4 22  1  7 20  4 14  4  3  3  6
 [6793]  2 10 10  1 16  2  6  3  2  1  0  5  4  4  2  2  5  2  9  2  7  2  6  2
 [6817]  3 12 12  9  3  6  5  4  1  3 11 22 10  5  2  6  4  5  2  3  2  7 18 19
 [6841]  5  4  3  9  3  4  2 17 12  6  8  2  9  4  7 14 13  9  4  2  7  5  6 14
 [6865]  6  1  4  2  4  9  5  2  5  7  1 11 13  5  8  5  0  3  6  0  4 16 12  2
 [6889]  9 10 15  7  3  5  2  6  7  3  5 18 11  2  1  1  3  2  7 21  1 13  1  4
 [6913]  7  5  5  8  9  5 11  2  5  9  4  8 13 17  8  2  4  6  6  6 15  0  4  2
 [6937]  5  1 15  3  3 14  1  6  0 19  0  4  8  6  8 11  3  2  6  1  5  6 12  0
 [6961]  2  6 19  5  9  2  0  3  1  2  3  6  4  0  5  1  0  8  1 10  6  5 10  5
 [6985]  3 18 11  5  4 33 16 15  3  0  1  5  4  8  8 12  2  2 14  3  6  1  4  2
 [7009] 10  2  6  3  4  9  4  3  8  0  5  1  0 10  7 17 11  2  5  0  0  6 16  5
 [7033] 18  5  5  3 10  1  1  1 17  4  6  4  6 18  6  7  1  8 15  1  3 11  4  3
 [7057]  2  4  3 18  3 11 10  5  1  1  6  4  6  2  6  2  2  1  2 10  1  1  7  2
 [7081]  5 10  1  2 17  2  9 20  3  1  3  7  3 19  7  2  8 11  0  4  9  6  2  4
 [7105]  0  0 25  3 11  6  1  9  2  2  7  6  4 12 15  3  9  3 10  6  1  5  3  2
 [7129]  4  2 13  9  7  2  5  6  8 14 11  8 14  4  8  1  8 10  3  8  5  1 14  6
 [7153]  4  4  4  4 10  3  4  3  2  4  7 11  5 12  1 14  5  2  5  4 22 11 13  3
 [7177]  9  3  5  3  9  4  5  9  2 16  2  5  7  1  8 15  4  5 11  9  3  6  2  1
 [7201]  9  6  7  4  3  6 14  1  5  1 10  6  3 10 12  6  4  6  3  0  3  0  1  0
 [7225] 10  3  4  6  7  7 13  4  0  3  0  4  1  7  7  4  6  1  0  0  3  2 11  3
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 [7393]  4  6  0  5  3  4  1  4  7  1  3 12 27  5  1  7  6  0  2  1  2 11  0  2
 [7417]  3  8  3 11  3  4  5 11  0  5  3  8  3  2 11 13  2  5  4  4  3  2  3  6
 [7441]  3  5  1  9  2  1 16 11  2  3  3 11 11 11 10  0  5  4  4  5  5 14  4  2
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 [7513] 14  2  4 10  8  6  8  4  1  6  0  7  0 11  5  2 10 10  9  8  5  2  7  3
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 [7585]  3  2  4  6  4 10  0  2  1  3  7  7  9  3  9  9  0  7  9  7  2  4  3  0
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 [7633]  2  3 10  8  2  4 19  8  4  7 27  4 10  2 27  1  5  2 26  8  2 15  3  6
 [7657]  1  8  4 11  3  3 15 13 11  2 13  1 12  4  3  2  0  3  1  5  2  7  2  9
 [7681] 10  2 13  6  1  8  7  2  5  6  1 10  5  1  0 13  4  1  7  2 11  2 10  2
 [7705]  2  7 15 10  5  2  3  5  5  6  6  8  5  3 11  4  7  2  8  2  5 14  5 13
 [7729]  6 11  7  7 14 13  1  1  5  2  7  7  2  3  8  0  4 11  7 11  9  7  0  7
 [7753]  2  2  3  1  2 11  8  6 10  3  7  2  3  3  5  2  8 13  3  9  6  2  5  4
 [7777]  2 16  0 17  2 13  4  3  4  1  6  1  2  2  5  3 18  6  2  0  7  5 11  2
 [7801]  9 10  1 11  1  1 15  5  3  5  9  9  3 17  6  4 27  1  1 11  9 13  2  2
 [7825]  3  2  5 13  1  0  4  7  1  7  3 13 13  5 13  2 12  4  2  1  3  7 12  2
 [7849]  5  3  2  7 11  7  0  7  6  2  2  6 22  4 15 17  8  8  1 10  1 16 14  8
 [7873]  2  2 12  6  5  5  2  5  7  8  9  3  1  2  4 13  8  7  7  2  4  2  1  4
 [7897]  5  3  6  8  5  7  5  5 19  5 14  4  1  3  5  4  4  5  2  9 19  3  3  4
 [7921]  3  3  6  1  4  1  8  4 13  3  8  1  5  4  5  3  1  3  1  4  8  1 12  7
 [7945] 17  1  5  6  8  4  6 15  4  1 22  4  0 13 15  4  2  4  8  6 14  3  9  4
 [7969] 10 19  5  7  3  2  0  4  1  4  3 12 11 16  3  2  5  5  4  2  3  4  8  6
 [7993]  4  3  8  1 13 17  4  8  6  0 10 11  7  2  6  3  5 11  3 10  5  8 11  1
 [8017]  4  0  6 12  2  3  3  8  1  1  6  6  0  3  5  1  5  7  9  7  2  3  5  0
 [8041] 12  8  3  2  7  2 23  1 17 10  9  2  4  5  1  3  2  5  1  5  7  5  9 12
 [8065]  2  7  9 10 11  1  5  4  6 16 16  1  2  3  2  4 13 18  3  2 16  0  5 11
 [8089] 11 19  3 16  5  1  7  9  1 15  1  2  1  8 10  2  3 18 12  0  5  2 19 24
 [8113]  1  6 13 13  2  6  3  2  5  7  1  3  7 13  9 17  2 19  3  4  4  3  1  6
 [8137]  8  1  6  6  7  1  5  6  4  5  8 12  9  1  6  3 12 11  5  2  6  6  3 14
 [8161]  6  4  6  0  3  7 25  9  9 10  9 12  3  8  4  5  1  6  3  6  2  3  9  6
 [8185]  1 18 10  5  3  4  7  3  6 14  9 10  4  1  3 22  9  0  5  9 24  1  5  2
 [8209]  2  8  1  4  9  5 12  3  3  8  4  4  3 20  4  2 12  7  8  0  5  3  1  3
 [8233]  3  0  4  8  4  4  3  9  7  4  2  5  3  3 10  1  4  9  8  4  0  1  4  1
 [8257]  6  3  6  6  4  2  5  2  6  4  3  1  2  7 10  2  1  1  0  2 11  4 10  5
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 [8329]  2  6  4  6  9  9  2  2  2 10  0 10 21  7  4  2  1 11  3 13  2  3  3  8
 [8353] 13 13  2  2  6  0  3  1  2  9  8  8 19  3  2  5  5  1  7  8  0 26  9  1
 [8377]  5  7  4  8  4  5  2 13 18  4  4  5  4 19  0  8 16  3  5  3 11  9  8  0
 [8401]  4  1  8  7  4  4  4  3  3 15  5  3  3  4  1  2  4  1  2 20  7 12 15  1
 [8425]  6 20  7  9 17  5  5  3  1  4  3 21  9  7 11  3  8  3 11  3  6  3  6  5
 [8449]  4  2 18  7  6  7  5  9  1 30  4  6 15  6 10  2  5  1  3  1 14  1  5 14
 [8473]  5  5  3  4  4 13 11  2  4  7  9  5  5  7  5  6  5  5  2  3  0  6  4  5
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 [8521]  6  2  2  0  3 21 11  2  7  7  1 18  7  3  6  2  5  7  1  5  7 14  0  6
 [8545]  5  4 15  4 18  3  1  4  6 10  8  1  6  3  4  8 10  3  5  4  3  2  8  0
 [8569]  9  1 17  1  3 18 13 15  4  4  8 15 11  2  9  3  2  0 15 15  5  1  2 13
 [8593] 13  6  5  1  6  7  4  2  3  4  4 10  6  1  2  5  4 12  3  8  2  1  1  0
 [8617]  4  5  4  0 10  8  3  7  4  2 12  8  3  3  3  5  9  2  5  4  9  6  4  2
 [8641] 17  0 17  0  1  1  0 17  2  0  4 17  4  4  0  4  3  5  4  3  7  2 11  6
 [8665]  4  4  1 12  2  2  4  8  3  3  0  3  4 10  1  7  0 13  2  6  6  4  4  6
 [8689]  1  6  7  4  5  5  2  5  4  4  8  3  1  1  3  2  5 10  3  1  4  3  1 13
 [8713]  2  0 10  0  5 10 11  0 10  7  4  7  1 16  7  8 10  5  3  6  4  0 10  3
 [8737]  4  7  7  2  6 17  7 15  9  0  5  9  3 14 18  1 18  2  2  8  6  7  4 16
 [8761]  6  2  9  3 11  6  9 17 15  8  7  2  9  4  2 16 23 13  6  2 12  4  6  3
 [8785] 23  3  7  3  3 17  5 11  7  7  1  2 14 10  4 12  3  4  2  4  0  3  8  3
 [8809]  7 13  4  7  3  4  6  2  5  2  6  6  5  9  2 12 11  3  4  3  6  2  5  5
 [8833]  6  4  3  3  1  2  6 13 21  9  2 20  6  3  4  4  2  5  4  2  0 10  4  6
 [8857] 18 10  2  0  5  1  5  5 10 24 10  1  4  3  0  4 12 12  1  6  2  5  2  3
 [8881]  9  2  2 12 15 12 13  1 25  7 14  3 13  0 21  2  4  3  3 12  1 12  8 10
 [8905]  4  2  9  1 11 17  3  3  5  4 24  1  1  9  4  9  4  5  2 12  4  5  6  1
 [8929]  4 13  5  3 12  5  3  4  4  6  4  1  1  2  3  2  3  0  7  4  8  1  5 13
 [8953]  2  8  9  4  4 10  1  1  4  5  4  0  1  3  0 13  4 16  9  5  2  8 18  1
 [8977]  1  1  5  5  3  7  3  1  0  2  4 24  8  6 12  4 15  5  2  3  9  8  0 11
 [9001] 26 10  2  4 18  5  4  4  4 21  6 13  5  3  9  5  6  1  3  7  9  7  3  3
 [9025]  6  9  3 13 10  4  5  1  0  5 12  3  3  1  2 10 11  4  3  2  3  0  1 20
 [9049]  7 18  2 11  1 17 14  1  0  8  6  2 17  7 17  7  4  6  9  2  4 14  4  4
 [9073]  5  1  2  0  1  3  9  4  3 19 17  8  3 13  5  5  3  2  9  7  0  9  7  2
 [9097] 13  9 20  2  3  3 11  5  4  2  3  4 29 17 10  0  4  3  5  4  2  5  9 10
 [9121]  3 17  2  4  1  4  0  7  3  1  5  3 14  5  2  5  2  6  3  4  9  4  2  2
 [9145]  1  3 26  3  3  3 14  4  4 11  1 15  1  1  4 12  1  1  3  1  7  4  2  0
 [9169] 15  6  5  8  7  6  1  0  5 19  3  0 11  4  6  8  2  1  0  0  6  4  3  6
 [9193]  5  4  4  3  4  3  3  0  0  9  2  2  1  2  8  2  7  4 17  9  5 11  8  8
 [9217]  1  3 11  9  5 27  4 12  5  0  2 10  1  7  3  4  3  3  7  1  2  2  1  7
 [9241]  3  0  8  6  3  4  4  6  4  4  5  4  6  4  5  6  5  8  7  8  4  7 18 10
 [9265]  6  0  2  7  3 15  1  1  8  3  7  7 10  5  4  3  1  3  9  1  2  5 12  3
 [9289]  2  4 16  4  8 14  1  1  3  7 15  4  8  6  1  6  7  7  7  6  1  4  4  4
 [9313]  3  4  5  5  9  1  9  8 12  8  1  8  6  5  3  2  1 20  4  3  8  4  7  7
 [9337] 13  6 11  3  8 16 14  9  5  4  6  1  7  2  3  3  3  7  5  0  4  7 11 14
 [9361]  4  7  5  4  1  0  4  2  9  9 19  6 11  3  7  6  3  7  2  5  3  4 14 10
 [9385]  1  3  4  6  7  5  3  9  4  2 10  9  8  6  2 12  1  3  8  4  2 12 11  2
 [9409]  6  5  2  1 10  4  3  5 15  7  7  3  7  4  3  3  5  7  6 20  3  4  3  6
 [9433]  4  1  1 15  6  0 15  7  4  5  9  7  2  5  1 14  4  7  3  7  6  5  5  3
 [9457]  2  6  6 12  5  2 11  1  2 11  9  3  2  3 10  3  2  6 18  7  1  6  9  1
 [9481] 12  8  1  7 13  2  2 11 15 10  4  6  8  3 10  2  7 10  4  0  4  2  5  3
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 [9529]  5  6  8  8  2  3 23  6  5  2 10  2  6  5  7 16 10  4  3  4  7  3  3  2
 [9553]  1  0 20  3  6  2 10 11  9 13  0  0  3  2  2 10  4  6  5  1  7  5  3  6
 [9577]  6 14  2  1  6  2  0  7  9  6  9 11  8 14  2  6  8 14  4  5 20  7 12  4
 [9601]  4 14  3  7  5  6  1  6 23  5  2  3 13 27 10  6 21 10  4  4  2  0  4  6
 [9625]  6  1  4  6 12  2  3  8 20  4 17  2 11 11  7  6  7  4  3  5 13  3  8 11
 [9649]  5  1  7  2  7  4  5  2  1  0  5  5 11  6  5  5  2 12 16  2  1  8  4  3
 [9673]  0  3 14  6  0  6  4  9  2  4 17  4  5 10  8  0  6  5  3 11  5  2  1  0
 [9697]  5  4  1  2  5  5 12 22 14  7  5  6  5  5  9  1 22  4  8  3  4  1  7 22
 [9721]  2  8  3  2  6  6  4  6  5  2 16 11  8 27 29  1  0  9 20  5  3 12  8  6
 [9745]  2 10  5  0  7  3  4  2  6  1  3 18 12 24  0  9  1  6 24  2  4 23 11  6
 [9769]  2  5  6  2  2  5  8  9  6  0 10  7  2 18  6  4  2  6  6  4  5  0  6 10
 [9793]  7 17 11  9  8  2  5 14 15  5 10  4  7  6  5  4  3  4  3  8  8  3  7  7
 [9817]  3 10 33  5  4  3  2  6  1  5  1 11  4  3  3 23 13  5  3  3  3  1  1  4
 [9841]  6  3 10 16  4  1  6  6 16  8  3  5 11  8  3  5  3  6  1  6  3  4  6 21
 [9865]  2  6  3  2  6  6  4  7 11  7  5 12  2  0  5 16  0 11  4 14  4  4  5  8
 [9889]  4  3  0  5  2  3  6  6 17  5  2  5  4  0  6  4  2  6  4  9  9  6  8  0
 [9913] 21  4  3  9 16  1  8  3  8  4  4  9  3  4  0  6  1  0 13 13  1  2  9  5
 [9937]  5  7  7  2  2  2  4  6  0  4  4 12  9 13  1  7  2  5  1 11  2  5  3  4
 [9961]  1 28 23  7 13  4  1  4  4  0  1  6 16  7  0  1  8  5 20 13 10  1  6  7
 [9985]  2 10  6 12  5  1 22  5  1  7  8  2 10  5  5  0
       s Pr[S>=s]         L95        U95
 [1,]  1   0.6460 0.632418985 0.65958102
 [2,]  2   0.5289 0.515318985 0.54248102
 [3,]  3   0.4477 0.434118985 0.46128102
 [4,]  4   0.3815 0.367918985 0.39508102
 [5,]  5   0.3299 0.316318985 0.34348102
 [6,]  6   0.1989 0.185318985 0.21248102
 [7,]  7   0.1419 0.128318985 0.15548102
 [8,]  8   0.1056 0.092018985 0.11918102
 [9,]  9   0.0821 0.068518985 0.09568102
[10,] 10   0.0595 0.045918985 0.07308102
[11,] 11   0.0362 0.022618985 0.04978102
[12,] 12   0.0240 0.010418985 0.03758102
[13,] 13   0.0152 0.001618985 0.02878102
[14,] 14   0.0105 0.000000000 0.02408102
[15,] 15   0.0084 0.000000000 0.02198102
[16,] 16   0.0041 0.000000000 0.01768102
[17,] 17   0.0027 0.000000000 0.01628102
[18,] 18   0.0021 0.000000000 0.01568102
[19,] 19   0.0013 0.000000000 0.01488102
[20,] 20   0.0009 0.000000000 0.01448102
[21,] 21   0.0004 0.000000000 0.01398102
[22,] 22   0.0003 0.000000000 0.01388102
[23,] 23   0.0003 0.000000000 0.01388102
[24,] 24   0.0001 0.000000000 0.01368102
[25,] 25   0.0000 0.000000000 0.01358102
[26,] 26   0.0000 0.000000000 0.01358102
[27,] 27   0.0000 0.000000000 0.01358102
[28,] 28   0.0000 0.000000000 0.01358102
[29,] 29   0.0000 0.000000000 0.01358102
[30,] 30   0.0000 0.000000000 0.01358102
[31,] 31   0.0000 0.000000000 0.01358102
[32,] 32   0.0000 0.000000000 0.01358102
[33,] 33   0.0000 0.000000000 0.01358102
[34,] 34   0.0000 0.000000000 0.01358102
[35,] 35   0.0000 0.000000000 0.01358102
[36,] 36   0.0000 0.000000000 0.01358102
[37,] 37   0.0000 0.000000000 0.01358102
[38,] 38   0.0000 0.000000000 0.01358102
[39,] 39   0.0000 0.000000000 0.01358102
[40,] 40   0.0000 0.000000000 0.01358102
attr(,"rsam")
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 [1891] 6.097332e+00 9.781525e+00 2.169248e+00 1.003062e+00 1.859843e+00
 [1896] 8.192034e+00 9.047523e+00 5.054541e-01 1.851262e+00 3.440055e+00
 [1901] 2.192826e+01 8.810037e+00 3.976049e-01 1.429597e+00 6.171576e+00
 [1906] 2.322156e+00 3.283764e+00 3.399082e+00 6.017006e+00 1.567559e+00
 [1911] 3.183455e-01 1.321069e+00 5.856671e+00 5.635398e+00 1.823354e+01
 [1916] 3.468189e+00 8.514772e+00 4.865321e+00 1.291636e-02 8.600420e+00
 [1921] 6.316584e+00 1.413256e+00 2.677356e+00 2.393496e+00 4.050495e+00
 [1926] 3.388841e+00 3.782039e+00 1.107218e+00 1.221992e-03 0.000000e+00
 [1931] 5.618089e-01 4.200420e-05 5.356164e+00 2.087332e-01 9.085734e+00
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 [1941] 5.515761e-01 0.000000e+00 1.000591e+01 1.173120e+00 7.704838e+00
 [1946] 3.007563e-02 6.892422e+00 3.598436e+00 1.329418e-02 9.866394e-01
 [1951] 1.077347e+01 7.325383e+00 3.498275e+00 8.700816e+00 1.159162e+00
 [1956] 6.457895e+00 5.022264e+00 5.457294e+00 1.289046e+01 0.000000e+00
 [1961] 5.011678e+00 4.968898e+00 4.981772e-02 2.072916e-01 5.051783e+00
 [1966] 5.310158e+00 4.983708e+00 5.012952e+00 4.710436e+00 3.918527e-01
 [1971] 1.310914e+00 6.270692e-01 2.135238e-01 5.842639e+00 9.498007e-02
 [1976] 2.733707e-01 5.000000e+00 1.022827e+00 0.000000e+00 1.435595e-01
 [1981] 5.722355e+00 1.081688e+00 2.671638e+00 3.729145e+00 1.233588e+00
 [1986] 6.265211e+00 2.523817e-01 5.502950e+00 3.315394e+00 1.275069e+01
 [1991] 0.000000e+00 8.869105e-01 6.551388e+00 6.047880e+00 1.878737e+00
 [1996] 5.217233e+00 4.057846e+00 3.588216e+00 4.558536e+00 1.532828e-02
 [2001] 1.951537e-02 2.304887e+00 1.852470e+00 5.292284e+00 2.088108e+00
 [2006] 8.121337e+00 4.149621e+00 0.000000e+00 4.689628e-01 2.177270e+00
 [2011] 7.438039e+00 2.928957e+00 1.000000e+01 7.727110e-01 4.095886e+00
 [2016] 7.236739e-02 4.735613e-09 1.353517e+00 2.360457e-03 7.517153e+00
 [2021] 5.000000e+00 2.356042e-01 1.473480e-02 2.921731e+00 7.129235e-01
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 [2041] 9.845348e+00 1.957202e+00 2.514545e+00 1.065743e+00 5.000000e+00
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tailloss documentation built on May 2, 2019, 4:18 a.m.