Central Limit Theorem

From the “Airline Delay Due to Staffing” data, we will demonstrate the Central Limit Theorem

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Read the Airline Delay Due to Staffing Data

## # A tibble: 6 × 1
##   `Number of times late due to staffing`
##                                    <dbl>
## 1                                   1.63
## 2                                   0.96
## 3                                   5.75
## 4                                   4.17
## 5                                   4.78
## 6                                 143.

Determine the number of data values in the Population.

## Number of data values in the population is 3343

Graph the Population of Airline Delays Due to Staffing

# As we can see, the data is skewed right

Let’s calculate the mean and standard deviation of the population

## The Mean of the population:  16.0653  delays due to staffing.
## The Standard Deviation of the population:  41.7595  delays due to staffing

Select a sample of size 100 and calculate the mean of the sample and standard deviation

##   [1]   3.45   2.21  59.25   4.63   4.23  17.50   6.76   0.00   2.00   0.98
##  [11]   6.95  39.80  45.36   1.54   1.03   9.23   0.93  16.73   7.00   4.98
##  [21]   1.00   1.44   0.00   3.82   0.00  39.69  12.03   2.64   9.25   2.43
##  [31]   5.48   6.90   0.00   1.98   4.51   2.00  15.78   1.17   5.22   2.00
##  [41]   8.00  19.84  13.38   1.97   1.00  20.67  24.75   0.94  24.77   5.81
##  [51]   1.62   1.00   0.00   1.96   2.34   5.86   9.22   1.00   0.89  32.38
##  [61]   2.60   6.56  10.64  13.11   3.08   0.00   0.00   0.33   3.95   0.00
##  [71]  21.10   7.00   0.00  14.51   6.31   4.29   3.48   0.00   5.41  15.23
##  [81]   4.18 199.11   2.00   8.50  23.92   8.00  46.39   2.42   9.43  10.61
##  [91]   0.00  40.28  23.87   0.00   3.24   2.73   2.59   1.00   3.99   6.39

# calculate the mean and standard deviation of the sample n = 100.

## The Mean of Sample 1 =  10.4555 delays due to staffing
## The Standard Deviation of Sample 1 =  22.3077 delays due to staffing
## The Mean of the population = 16.0653 delays due to staffing
## The Standard Deviation of the population = 41.7595 delays due to staffing
## Error of the Sample Mean = 5.6098 delays due to staffing

Take another sample

##   [1]  95.74  10.59   8.01  25.69   2.26   3.39   2.10   0.00   9.05   0.70
##  [11]   2.00  12.76   0.00   8.63   6.85  22.77 124.14   9.23   1.00  15.91
##  [21]   4.00  23.92  79.63   5.00   6.16   3.81   4.71   2.20   0.06   2.00
##  [31]   0.93   2.25   1.11   0.00  70.51   0.00   2.23  13.63   5.23   0.83
##  [41]   6.00   4.29   5.80   1.00   3.08  16.80   0.68   0.00   6.70 272.69
##  [51]   0.00   1.00   0.00   1.36   3.45  16.41   8.91  25.15   1.00  15.85
##  [61]   3.48   3.98   2.00  38.50   6.42  49.81   9.65   8.70   1.82   0.00
##  [71]   4.03   3.45  38.00   7.13   4.57  31.00   1.33   0.00   0.14   0.00
##  [81]   5.82  16.80  16.10   3.25   3.09   5.35   0.00   4.86   4.00   3.76
##  [91]   5.11 274.73  10.72 201.78   4.00   2.00   2.80  55.73   3.52   0.79

# Calculate the Mean and Standard Deviation

## The Mean of Sample 2 =  18.1742
## The Standard Deviation of Sample 2 =  45.922
## The Mean of the population =  16.0653
## The Standard Deviation of the population =  41.7595
## Error of the Mean Sample =  2.1089

Let’s look at one more sample

##   [1]   4.00   2.97   3.00  33.10   7.44   2.00   2.86   2.95   0.00   0.00
##  [11]   0.32   6.73   7.43   4.74   4.64   0.10   8.67  19.00   4.00  21.15
##  [21]   2.00  12.00   6.85   8.13   8.06  21.00   3.48 380.38   0.76  33.80
##  [31]  13.54  34.41   3.79  16.52   1.94   3.43   0.00   0.82   4.28   3.75
##  [41]   1.59 697.00   1.00  54.10   0.00   5.00 207.32   4.44   1.11   2.00
##  [51]   3.00  95.14  25.15  13.00   3.66  46.90   7.00   5.00   1.00   1.50
##  [61]   7.13   3.09   0.96   0.00  11.76   4.54  52.49   1.09  12.26   0.00
##  [71]   5.87   3.72   0.00  26.29   8.59   1.18 124.14   1.00  10.24  30.50
##  [81]   1.00   3.44  11.82 145.67   5.99   3.20   4.65  10.35   5.23   5.00
##  [91]  36.00 200.91   1.33   3.81   0.76   1.01   2.00   0.00  45.64   1.41

# Mean and Standard Deviation of Sample 3

## The Mean of Sample 3 =  26.6302
## The Standard Deviation of Sample 3 =  84.6458
## The Mean of the population =  16.0653
## The Standard Deviation of the population =  41.7595
## Error of the Sample Mean =  10.5649

Notice that our sample means are not equal to the population mean

In statistics, we use sample data for understanding a population. Let’s example a data set of sample mean.

We need to look at many sample means and see how close they are to the true population mean. As in the chapters on descriptive statistics, we want to examine the behavior the the sample means.

We are going to select 20 samples of size 100, graph the samples means and find the mean of the sample means.

##  [1] 12.1400 19.1421 17.8247 10.1136 15.6938 11.2000 14.5752 24.4951 17.5317
## [10] 16.5692 17.9148 12.4591 17.1265 10.7039 11.3291 17.6099 12.4183 16.9434
## [19] 19.1187 28.9100

## [1] ""
## The Mean of the sample means =  16.191
## The standard deviation of the sample means =   4.7132
## The Mean of the population =  16.0653
## The Standard Deviation of the Population =  41.7595
## Error of the Mean of the sample means =  0.1257

100 samples of size 100

##   [1] 13.3860 11.2554 17.4368 14.4815 12.1201 11.0934 27.3252 16.8967 18.0946
##  [10] 14.1720 12.3991 13.6820 13.4819 17.6341 18.6429 19.2164 12.1028 20.9367
##  [19] 16.2762 18.6511 22.6102 11.3716 21.6914 18.5115 13.8101 21.1559 17.5010
##  [28] 14.4837 17.1803 10.1767 12.4836 14.2491 13.0666  8.6166 14.2756 12.3739
##  [37] 14.7336 16.2501 17.3796 14.9700 14.8616 15.6179 14.4196 10.8048 24.4135
##  [46] 17.7288 23.6217  9.8121 19.2742 12.8171 16.7673 16.5171 15.0969 20.7919
##  [55] 15.5304 12.6056 10.9009 22.2773 11.1108 15.7434 11.2310 17.6308 16.4720
##  [64] 15.4623 12.4209 12.8135 20.8994 12.8678 10.1157 13.4489 14.9901 12.8317
##  [73] 12.1663 16.3002 15.3718 15.8334 15.4084 20.9182 12.9403 14.4602 15.9120
##  [82] 12.5554 22.1102 14.6364 18.1854 11.6136 19.0034  9.8126 13.0116 11.0056
##  [91] 14.7093 15.8160 22.2344 18.4082 31.9360 17.1935 11.3586 11.1275 11.7545
## [100]  8.6326

## The Mean of the sample means =  15.5249
## The standard deviation of the sample means =   4.0978
## The Mean of the population =  16.0653
## The Standard Deviation of the Population =  41.7595
## Error of the Mean of the sample means =  0.5404

1000 samples of size 100

##    [1] 11.3722 22.4159 15.6479 19.6667 11.7356 17.1164 15.7441 15.0621  9.2737
##   [10] 13.2196 18.0941 17.5797 15.0762  9.9405 11.7153 14.2055 10.3354 14.7655
##   [19] 22.3811 13.6098 14.6667 14.0611 20.9433 15.8346 11.5309 10.9997  9.9428
##   [28] 11.1949 13.1351 16.2444 13.3086 11.4747 13.4306 16.6671 18.2244 21.8213
##   [37] 14.8686 14.0898 12.1961 22.9975 12.7040 13.6147 12.3685 17.2987 29.9248
##   [46] 16.8354 18.4096 18.6098 15.4946 19.6239 20.8015 18.8907 16.7804 12.6226
##   [55] 14.4055 19.3486 15.8618 20.2661 10.5516 22.9702 10.6943 17.2326 14.5701
##   [64] 18.2752 20.8326 13.1832 13.9139 13.3783 14.8135 19.0105 10.7445 16.6324
##   [73] 14.6074 11.6428 12.8804 13.8961 14.6028 10.8822 12.7162 10.4479 20.2233
##   [82] 11.6918 18.1905 15.1102 21.5196 20.8190 12.8758 16.6407 13.1030 15.5226
##   [91] 15.5996 23.0904 19.9472 18.2036 11.3143 27.4111 17.0820 11.1744 22.3311
##  [100] 19.8431 16.7183 11.1561 20.9038 13.6690 19.8554 16.5982 12.5800 17.1537
##  [109] 11.8778 16.1952 11.4806 14.9770 14.3324 15.5645 23.7554 16.4727 11.7870
##  [118] 19.1500 18.5917 14.4290 24.0720 13.5336 17.9320 17.6252 12.1446 12.6537
##  [127] 16.5958 17.2308 11.3249 17.8103 14.4502 10.7909 17.6058 14.0123 16.4007
##  [136] 21.7683  9.6034 14.2124 24.5901 14.0458 17.2584 14.0423 17.1455 19.1940
##  [145] 21.1240 16.1661  9.3265 16.1926 10.3363 12.8601 11.5648 13.1337 11.8512
##  [154] 16.4779 25.5255 10.4959 14.7268 19.2969 13.6051 13.9003 12.5565 20.7117
##  [163] 10.6041 21.1048 16.6844 10.7427 21.2166 11.5825 26.9513 15.5830 11.3658
##  [172]  9.7792 13.1091 17.5646 13.9376 13.6147 14.1868 15.8466 22.0477 25.6645
##  [181] 20.8316 19.4677 13.8866 18.7177 13.3636 25.7301 16.4454 18.8043 15.7667
##  [190] 24.6217 16.2511 16.5516 15.8978 17.9689 18.7205 17.5308 12.1293 17.9586
##  [199] 16.3398 13.7011 16.7333 12.7579 13.4596 19.4600 16.7894 26.4674 13.2550
##  [208] 15.3438 17.7008 24.7365 17.6946  7.1649 11.8456 10.4837 17.9645 16.4544
##  [217] 19.1275 18.9325 12.3398 10.9434 20.3240  9.5496 16.1477 12.0808 14.3463
##  [226] 12.8780 14.3781 24.8818 11.9667 20.6889 14.8350  9.7629 17.3358 15.4467
##  [235] 14.4124 11.6313 16.1015 15.1778 17.4173 16.5611 20.6736 19.4139 12.4852
##  [244] 22.3653 20.0973 15.8978 13.6642  7.9052 19.1002 15.9150 23.2441 18.0859
##  [253] 16.2572 13.2547 15.3394 24.8946 16.3210 21.7075 21.2236 11.8125 11.1084
##  [262] 20.3086 14.5463 16.7887 17.8133 15.9421 10.4558 18.6760 16.1054 10.0543
##  [271] 11.4517 14.2341 23.1822 16.4412 20.6271 19.0885 20.0321 10.4725 22.1586
##  [280] 14.2912 16.5560 10.9974 13.4381 14.7801 11.1618 16.4854 21.0247 14.3849
##  [289] 15.8456 12.3514 21.6773 16.8340 12.4501 11.5748 11.0603 20.6327 17.7904
##  [298] 20.5221 15.4157 16.8704 20.0715 13.7592 19.9278 15.0952 18.1397 21.5731
##  [307] 19.8683 18.5387 19.8213 17.9218 15.0607 14.5134 12.6966 17.4631 11.3968
##  [316] 10.7408 15.5285 11.7676 15.7062 19.5339 10.6858 14.6372 14.0728  9.9992
##  [325] 24.4425 16.2020 11.2967 18.2613 24.9638 15.9661 13.8961 26.5139 18.0620
##  [334] 21.1138 24.8363 15.4847 10.3579 13.0410 13.4217 18.5683 23.2548 15.2550
##  [343] 16.1574 19.8726 22.1694 10.9760 11.8476 19.1870 16.0128 12.0675 14.7072
##  [352]  9.2517 15.6270 14.4484 11.7431 10.4489 29.8391 17.7804 13.0269 11.3295
##  [361] 14.5302 20.7531 13.5527 18.4644 23.8998 16.8659 21.8787 15.5404 13.0663
##  [370] 12.8920 13.8572 17.8609 18.1289 18.1115 11.4909 15.8825  9.4497  9.7683
##  [379] 14.6127 15.4420 21.5727 13.8435 13.6308 14.6190 14.2411 10.2327 19.7131
##  [388] 15.3215 12.8237  9.8926 15.4235 12.4196 12.1723 20.1345 12.6767 11.6252
##  [397] 14.4795 14.1547 15.2819 14.0423 19.0862 13.4469 16.5001 17.5805 10.6526
##  [406] 14.4089 15.9670 17.1801 17.2375 16.8151 14.3332 13.4185 14.4370 13.6854
##  [415] 11.1246 15.3289 19.4276 14.0542 13.2879 22.1190 15.0772 18.3063 10.1890
##  [424] 17.7709 15.4348  7.1920 11.6189 23.4107 20.9541 11.3369 15.0902 12.1506
##  [433] 13.3707 15.4672 13.8888 11.4386 17.4801 10.4721 10.9663 15.5206 18.6398
##  [442] 16.2428 13.0324 16.9780 10.3928 12.4523 12.4747 15.0167 15.6339  9.3599
##  [451] 21.8925 17.2172 23.1266 24.1676 17.5612 20.0284 17.3134 15.3824 19.6036
##  [460] 19.9468 15.7266 17.2531 12.1889 17.9320 10.1124 18.8458 15.4794 14.2605
##  [469] 22.7442 24.4566  9.4398 23.9675 16.4839 13.1341 10.3651 11.5919 16.3318
##  [478] 16.1465 18.6894 14.5609 11.4360 16.6015 16.8654 14.0313 21.8657 13.3210
##  [487] 10.0092 11.0899 18.1728 14.7929 25.4818 13.4019 17.5564 14.0733 15.4455
##  [496] 18.9697 14.0863 19.6443 16.7810 11.1218  9.6504 13.1331 15.8526 10.2058
##  [505] 17.5084 11.3708 10.8189 18.4841 15.7726 18.8575 15.8307 16.2226 13.7750
##  [514] 17.5416 19.3309 28.2074 11.6322 18.5227 10.0245 18.4792 18.2101 31.5931
##  [523] 16.9248 14.4316 13.6581 12.4748 19.4065 16.6522 18.9879 17.4169 13.6942
##  [532] 12.8682 14.1524 10.1147  7.8978 13.5172 13.2749 13.7833 18.8402 24.3839
##  [541] 16.5929 12.5973 15.7207  8.4759 14.4020 16.2462 15.7709 14.0181 22.6838
##  [550]  7.7159 17.2604 12.1032 18.2731 22.4200 12.0202 20.3816 14.9478 15.1371
##  [559] 16.5002 16.0466 23.8294 14.7435 20.0593 19.9129 17.4021 17.6815 18.4143
##  [568] 14.0302 23.5646 16.6460 19.7918 20.4844 12.2218 15.1585 15.8262 18.3322
##  [577] 23.5371 16.1870 13.9863 17.4234 16.4031 21.1572 12.8938 19.0150 16.8119
##  [586] 14.1530 16.0717 21.5535 15.0145 22.8561 17.6076 15.3429  8.8769 12.6306
##  [595]  8.0226 18.5262 18.6774 15.0299 15.7850  8.7175 28.7330 12.6317 17.5088
##  [604] 19.4293 16.4983 23.1484  9.0991 18.8566 13.6109 21.3931 12.5320 11.0437
##  [613] 17.4013 11.4258 16.7540 19.7629 19.6979 16.1533 13.5605  9.1648 17.8962
##  [622] 14.0623 19.4065 13.6646 16.9500 10.8269 18.2853 12.1667 21.1069 13.5980
##  [631] 21.2191 16.5608 19.9152 10.2592 17.8325 16.8175 14.2133 15.2408 14.2419
##  [640] 14.8141 16.5230 12.4665 17.3209 13.8849  7.4617 15.4053 20.1520 17.5730
##  [649] 20.6265 19.2892 13.1425 18.2382 12.7348 13.5255 19.6439 14.2674 30.7554
##  [658] 17.3889 12.8042 12.3132 12.3888 19.9745 12.8376 13.4347  9.6633 11.9751
##  [667] 14.8105 12.8357 11.7730 17.3832  9.4421 11.6300 11.5066 13.4516 15.5657
##  [676] 12.3011 22.2750 24.9085  9.6317 14.0136 26.2939 14.1789 13.2241 24.9644
##  [685] 16.0678 10.3559 14.2116 20.2102 16.0202  9.5631 12.0360 13.1290 12.2701
##  [694] 18.3061 10.4854 21.0461 14.6664 10.9034  6.6311 15.2168 13.7423 23.9011
##  [703] 19.8575 17.6810 14.4414  8.7635 19.7172 18.4704 23.9651 20.7044 20.6335
##  [712] 18.7248 14.3877  8.8672 12.4805 10.4847 16.8491 13.5716 14.4058 18.4683
##  [721] 15.3974 21.3861 15.3607 34.0092 13.7865 12.4832 18.5536 13.0526 17.6522
##  [730] 21.6637 19.4039 13.5818 15.7313 22.5725 18.5187 17.5268 24.7321 16.6883
##  [739] 12.5662 16.7534 17.2744 12.4398 13.6020 15.1865 16.5483 16.3809 16.5787
##  [748] 19.0109  9.3411 10.3710 22.5320 13.2291 12.9230 16.7003 17.1014 19.2308
##  [757] 19.1932 21.2656 19.5708 15.1068 18.4801 10.8342  9.7088 12.2146 14.1463
##  [766] 16.9147 23.9511 13.7084 10.9267 12.0957 13.4238 14.0406 10.5901 15.9579
##  [775] 12.4355 12.0709 15.0465 22.2801 16.2359  9.6099 14.6102 24.9319 15.8122
##  [784]  9.4935 15.5485 12.9154 21.5906 13.1625 14.7586 17.7930 16.7295 26.6580
##  [793] 17.4871 18.8084 14.9723 17.0075 17.5578 11.7678 13.5010 17.5615 15.0421
##  [802] 22.6936 18.1879 18.7968 13.5668 18.8686 20.5256 19.1420 13.0336 11.6514
##  [811] 11.7996 11.3395 16.1713 17.2123 12.6378 12.5247 13.0251 16.6851 15.3076
##  [820] 11.2766 20.1551 22.0606 19.8253 19.9019 28.9777 14.0583 30.7361 10.3964
##  [829] 16.8316 23.9415 12.5139 14.6131 19.3041 16.5764 18.0927  8.7228 11.2194
##  [838] 12.0623 16.3873 12.9875 20.6948  9.1190 16.9813 20.3115 13.2818 15.0898
##  [847] 17.8866 12.4244 12.9127 15.1920 13.3732 13.8604 11.6913 22.9595 26.9862
##  [856] 11.5620 15.7509 22.4005 18.4752 15.2590 10.4957 11.5492 12.1906 17.2627
##  [865] 14.4377 21.6026 12.7540 14.0763 11.7726 13.9478 18.2612 18.4960 17.5748
##  [874] 15.3527 19.5381  9.3682 14.6007 23.4683 18.1846 17.2209 13.3418 13.4644
##  [883] 17.4556 20.7972 23.5560 13.1660 21.6412 14.7407 21.4413 10.4686 13.6338
##  [892]  9.6816 25.5398 13.6459 10.3971 21.7290 11.2948 16.0981 19.3897 13.8446
##  [901]  9.1911 15.7131 16.2387 13.3467 16.0811 10.5285 15.3154 16.0777 16.9740
##  [910] 19.4375 17.5168 17.4221 19.4176 17.1452 11.5472  8.8126  9.5996 18.4545
##  [919] 15.5212 17.6294 12.4461 19.7089 18.7273 13.3100 20.4572 19.4584 14.8434
##  [928] 19.5176 16.3499 20.4254 13.8815 14.2920 16.1700 14.4860 19.2232 17.9675
##  [937] 14.5480 14.1273 11.6899 20.5588 14.3067 19.0709 13.4063 22.4139 17.2518
##  [946] 16.5438 20.5798 16.6514  9.0908 17.1590 16.2061 16.8672 23.8118 11.5041
##  [955] 11.7098 13.8990 25.6100 14.6829 18.0420 14.2883 18.8469 17.2734 10.4283
##  [964] 14.1688 11.6419 13.5472 17.0940 19.6256 20.2425 10.6168 13.6996 22.3185
##  [973] 10.6355 11.0582 24.7545 14.5228 15.3984 15.1155 17.8892 19.7661 16.5830
##  [982] 18.2359 13.4988 17.1519 16.6405  9.7669 10.3437 15.1230 14.7270 16.5539
##  [991] 13.1819 13.2543 20.4610 18.5875 12.8287 15.2069 17.1479 19.3207 11.9376
## [1000] 20.7109

## The Mean of the sample means =  15.9833
## The standard deviation of the sample means =   4.1335
## The Mean of the population =  16.0653
## The Standard Deviation of the Population =  41.7595
## Error of the Mean of the sample means =  0.082

#10,000 samples of size 100

##     [1] 11.9338 26.7537 20.1531 18.3672 18.7590 14.1013 18.5495 13.1267 10.8975
##    [10] 16.6198 13.6604 23.5806 11.9095 14.3971 16.6361 15.3080 13.6329 15.4589
##    [19] 19.7408 25.0119 17.1938 21.0606 20.9603 14.0275 14.5693 18.0651 13.8741
##    [28] 17.1775 16.4629 17.0000 14.5456 20.1728  9.8588 14.4423 21.7539 13.4361
##    [37] 20.5310 13.2993 24.6214 25.4983 15.4135 14.0409 14.9412 16.2034 16.7546
##    [46] 12.2587 12.1909 14.5951 13.1765 18.0112 10.3166 21.1774 17.9082 11.1877
##    [55] 16.8503 14.4144 17.7279 18.4645 18.7266 12.7866 15.6879 14.9913 18.2972
##    [64] 14.9358 12.4640 19.9765 24.7481 13.6116 16.7943 10.5788 13.2519 10.8401
##    [73] 22.3474 13.7468 21.4143 16.8040 10.3080 14.0363 13.3526 20.9528 25.4244
##    [82] 16.8128 12.7470 15.3895 13.3941 13.5465 17.9280 14.9760 13.5660 29.0092
##    [91] 15.6611 14.5668 17.5470 17.0871 11.1556 15.4370  9.4348 14.8661 20.0104
##   [100] 21.6664 20.7355 20.1417 18.3173 16.5158 21.1748  9.6949 19.3382 13.9729
##   [109] 16.2986  9.9787 12.7174 22.4280 13.5046 15.3127 18.3629 15.8218 17.6276
##   [118] 20.9376 12.9624 22.5401 12.2635 14.7658 13.3448 16.2103 10.0996 13.3931
##   [127] 15.6020 18.8745 17.1830 13.1560 16.8599 21.1311  9.8649  9.8580 21.6296
##   [136] 14.0970  9.9389 17.6447 13.9059 20.6034 13.8066 16.2608 16.4761 17.8002
##   [145] 15.5965 15.3594 18.4487 28.8347 19.0016 12.7736 16.4508 22.0050 11.1982
##   [154] 12.9500 18.7026 11.0622 17.4819 14.5932 13.6084 27.5000 13.6121 15.7933
##   [163] 16.5970 19.6849 15.6074 11.4397 18.1914 15.1116 16.2554 14.3454 25.0529
##   [172] 15.3614 17.7107 15.1510 16.2724 18.3940 11.7238 12.9818 25.6515 14.5003
##   [181] 13.2443 22.5357 19.0181 20.5600 22.7804 18.8204 12.1652 24.5702 14.7788
##   [190] 12.1681 11.3422 14.2994 19.0011 13.4439 14.5755 18.6315 20.6308 10.6447
##   [199] 16.0911 10.8646 15.6361 18.5591 14.2504 12.5743 17.5631 23.2943 14.1071
##   [208] 17.2268 15.6080 13.1206 17.6222 15.0361 14.2336 13.8837 16.2040 14.7290
##   [217] 15.0915 14.5656 13.7927 14.7931 11.6764 17.1662 17.9627 13.1827 16.3074
##   [226] 13.8463 11.0131 23.6042 20.0189 19.4338  9.9820 13.4445 10.6791 23.6734
##   [235] 13.9007 16.4297 11.5684 13.3075 15.1092 17.0513 15.3029 18.6408 10.4413
##   [244]  9.1160 16.1582 10.7204 19.4416 14.5688 14.0651 14.2883 14.6385  8.6833
##   [253] 15.1918 12.5959 19.7239 13.5362 11.7587 24.5353 21.3730 12.0800 12.8401
##   [262] 13.3410 13.7853 16.6860 17.3338 13.4236 20.9969 13.5846 23.0640 14.5767
##   [271] 18.6581 19.1226 10.4029 15.9593 12.7039 21.9095 13.5608 13.1381 16.7539
##   [280] 23.7464 12.4936 22.8449 14.7715 18.3007 15.7706 11.4661 16.4882 18.1168
##   [289] 20.7881 17.6895 18.4256 15.0406  9.9322 11.5310 17.1256 17.3442 18.4927
##   [298]  9.4492 25.2252 14.3268 16.3619 18.8621 10.8499 12.2558 15.2050  8.5439
##   [307] 18.5346 24.2989 14.1275 15.2705 13.6862 20.3427 17.9238 14.7155 13.2078
##   [316] 13.9068 14.8466 10.2952 11.7547 25.0413 14.1100  7.0036 14.0788 16.9010
##   [325] 14.4352 17.2599 19.5254 16.3473 11.8633 13.5798 25.6273 12.6519 13.8014
##   [334] 14.0706 10.6990 16.6094  9.3602 17.7993 12.0848 12.5545 12.9240 16.2668
##   [343] 17.0247 22.2217 13.3067 12.0110  9.8765 10.6573 15.4065 17.0479 14.4733
##   [352] 10.8903 25.8853  9.7306 10.9078 12.4498 19.8881 15.8629 19.0714 20.5267
##   [361] 13.6349 17.4682 13.0512 15.1044 11.8679 15.6250 23.1796 24.7256 15.3871
##   [370] 14.2724 16.2445 10.7772 15.0706 18.0474 17.2839 12.2295 30.6484 14.0252
##   [379] 19.7029 12.9533 10.7177 10.1668 16.8630 13.7846  9.6862 15.3490 13.6149
##   [388] 24.6676 11.8237 29.6869  8.2836  9.6087 13.3880 11.8178 21.9077 14.4023
##   [397] 19.3656 18.6094 17.2472 12.0064 13.3700 14.9957 14.5973 20.8660 20.3259
##   [406] 19.7825 11.7710 16.1457 11.4723 10.6602 20.4556 10.1059 13.7202 15.4216
##   [415] 30.8376 14.9690 13.9095 17.3443 15.0616 14.5266 15.5448 14.4291 14.4270
##   [424] 14.5659 15.8758 11.9959 14.0960 20.6123 11.5905 17.7829 16.3675 17.3897
##   [433] 10.4316 11.8233 13.3914 22.6234 15.7343 18.1533 18.3615 19.3984 12.8491
##   [442] 11.7299 17.5578 19.8335 17.7320 19.2077 22.7283 17.4477 15.9054 19.6217
##   [451] 14.5313 15.1698 15.4383 11.1082  8.4103 16.1952 10.7564 26.1976 12.4925
##   [460]  8.9009 15.8299 12.7392 23.3783 20.6309 13.3678 20.7718 14.6162 14.0705
##   [469] 17.4562 25.7066 16.7953 22.7483 14.6067 17.5478 18.0803 15.1188 10.5352
##   [478]  9.5399 15.5301 28.4901 22.9049 15.1895 17.4659 17.0376 17.4011 18.2643
##   [487] 15.0055 17.8028 19.3358 11.7676 10.3500 10.8736 14.6617 15.6213 16.5058
##   [496] 18.7588 21.8949  9.9852  8.6176 14.5246 18.3904 22.7510 15.5319 20.2548
##   [505]  9.4712 13.2755 16.0335 21.0456 10.9054 17.6761 13.5248 21.1607 19.9577
##   [514] 19.4565 18.8076 16.4124 13.4454 18.3516 13.3788 14.1428 18.4864 14.4505
##   [523] 14.9772 20.5445 20.6432 22.9522 13.7188 23.9696 25.6397 20.0577 16.3642
##   [532] 11.2215 10.1124 10.3827 12.2849 11.0496 11.9436 13.5180 16.4852 18.8998
##   [541] 13.3654 12.2136  8.7787 12.0628 12.9495 11.3964 18.3464 11.9165 19.0135
##   [550] 16.0988 16.5062 19.2425 17.6958 16.9213 14.6275 17.2241  7.7212 14.0607
##   [559] 18.4614 10.1997 19.6037 12.0667 12.5071 20.6027 16.5270 16.5754 20.8902
##   [568] 20.1196 22.6728 18.0826 16.7675 16.7502 15.2258 16.5343 16.7819 13.7906
##   [577] 20.3878 12.7863 15.2529 17.0184 20.3732 13.5818  9.7994 15.2142 25.2221
##   [586] 13.0022 11.5322 21.2812 14.5150 13.3255 15.4726 19.7842 10.1480 11.1694
##   [595] 17.8256 22.3055 13.1616 15.7794 13.8734 14.9535 12.6899 21.4673 19.2166
##   [604] 13.1878 10.5014 17.5807 13.2535 14.8248 21.7815 10.6038 10.8458 18.0619
##   [613] 16.9294  8.9228 15.1250 20.6942 16.6085 14.9140 22.9907 12.5911 16.1245
##   [622] 11.9766 23.2253 18.4796 14.7199 11.7326 22.4104 12.6244 14.1371 18.7996
##   [631] 15.8111 12.7568 19.6104 13.7555 14.5292 14.0523 11.0863 13.2845 13.0648
##   [640] 13.3160 11.4995 15.6578 16.4183 20.2676 17.1881 18.1486 13.0970 20.6058
##   [649] 12.1977 16.1814 14.2006 10.6434 10.9517 18.6286 14.4359 11.6870 11.4194
##   [658] 14.3442 11.3838  9.1882 17.2505 11.9862 14.6977 12.6904 13.8965 22.4810
##   [667] 13.1408 15.5848 19.3966 13.9101 15.5649 23.7730 13.2893 16.4041 17.3025
##   [676] 14.3067 19.7081 13.7546 20.6243 17.0189 20.2070 14.2776 20.7114 14.0715
##   [685] 13.5450  8.7865 18.4875 12.8027 12.9193 11.2087 17.5702 18.3458 12.5036
##   [694] 22.6470 18.8930 14.7000 11.8450 11.7579 14.1780 18.7615 28.8922 12.3469
##   [703] 15.2668 13.5462 15.6296 15.0566 21.1148 11.2745 14.6468 20.0189 18.9283
##   [712] 15.1286 15.3264 19.2162 13.8980 11.0165 16.9671 11.5085 20.4625 16.6712
##   [721] 16.2792 12.3761 19.9668 17.4097 12.1611 14.5675 13.2235 15.6623 11.4016
##   [730] 11.3463 11.2955 21.3967 12.2819 16.8120 15.0334 14.5032 12.9605 17.8610
##   [739] 14.2550 18.8777 12.9582 14.0286 15.9033 14.3017 10.6516 17.4679 22.8628
##   [748] 23.7890 13.6421 15.0655 11.9334 16.9440 10.7316 17.7879 20.3279 17.7770
##   [757] 16.3692 14.0666 20.9936 23.4050 14.0168 13.6153 16.0305 16.0174 20.0893
##   [766] 21.0869 12.4251 15.1900 21.9044  9.9109 23.1095 14.0497 17.9169 18.7784
##   [775] 19.8112 12.2220 21.5484 16.4331 12.3279 20.6433 19.1300 14.4070 18.5508
##   [784] 13.0934  9.5625 11.0024 21.5659  9.6772 14.3193 18.2764  9.5578 14.7883
##   [793] 19.6117 25.2076 18.0573 14.7176 12.8103 16.4855 12.2483 12.7542 16.1933
##   [802] 16.4484 20.8896 18.3168 13.6264 18.4174 11.5221 13.5121 11.9246 23.0635
##   [811] 14.7454 16.9318 13.2603 18.7875 13.5319 16.5630 13.8777 16.5931 15.8929
##   [820] 17.2596 24.9189 22.3653 11.7311  9.8553 17.1298 14.9060 22.2294 10.4733
##   [829] 11.7213  8.7187 16.1216 15.2564 14.7311 13.3575 20.0200 14.6024 20.9079
##   [838] 16.9471 24.4455 18.3475 16.4204 25.7030 14.7954 16.6439 13.4854 15.0496
##   [847] 26.6371 16.0392 22.0992 24.0543 17.9421 16.2390 16.4331 13.4971 26.5144
##   [856] 22.2854 18.6231 20.4619 19.3090 21.0145 14.9927 13.7876 10.9865 24.9695
##   [865] 11.9755 11.0585 17.5419 26.4616 15.5200 13.3078 13.9562 11.4416 11.9011
##   [874] 23.8759 16.6198 14.3943 16.1892 14.6259 20.4586 11.3934 21.6377 14.0662
##   [883] 13.0060 13.2082 19.0362 11.3170 15.0972 19.3567 19.1573 19.3638 10.9252
##   [892] 11.2339  6.8509 10.4629  9.3881 15.2061 12.7633 10.4542  9.8659 13.4630
##   [901] 17.5000 24.2559 21.7300 17.1431 14.2925 12.4094 14.7728  9.5073 12.3654
##   [910] 19.9841 20.9629 16.1068 13.6745 14.5625 12.9340 18.3941 23.6671 24.3212
##   [919] 13.0285 17.0100  8.8364 17.6414 21.2042 21.2151 24.2333 13.9944 21.7326
##   [928] 14.3136 13.2888 13.7972 11.4694 11.4167 17.0877 24.0838 16.2519 11.6469
##   [937] 17.6040 29.1725 15.5268 14.6165 15.9307 20.6203 24.4510 12.5541 15.8441
##   [946] 12.1000 26.6408 22.1940 13.3989 11.6509 16.2966 16.4129 15.2032 13.5721
##   [955] 10.6716 11.4886 18.6590 25.4834 14.3447 16.2813 14.3251 18.4496 12.3851
##   [964] 24.5434 13.0749 10.0181 14.8882 22.9805 15.3639 20.0673 21.9243 12.4258
##   [973] 12.5545 18.5588  9.1005 24.1521 11.5489 23.2371 19.7977 15.2197 14.1914
##   [982] 11.0044 17.1041 17.9002 15.9405 15.7981 18.0742 12.0086 14.1448 11.1118
##   [991] 10.5184 16.5878  7.8506 14.5893 17.6517 21.0135 15.7316  9.3757 10.4875
##  [1000] 13.5134 11.2071 21.0737 20.4337 20.9749 15.1479 16.1416 20.9238 12.7793
##  [1009] 17.5631 20.7173 19.3597 11.8792 13.6336 11.1407 12.1169 17.3142 14.0797
##  [1018] 20.0807 15.9035 17.8890 19.8891 22.9164 17.4177 15.1233 11.5744 16.0884
##  [1027] 17.5109 17.7356 10.3112 24.8393 15.6970 10.8212 11.7272 17.1760 16.2880
##  [1036] 14.0703 11.9523  8.0072 17.4182 11.9528 13.9723 15.9739 13.1435 10.6607
##  [1045] 18.1944 17.5240 13.2076 12.9576 13.1216 17.9521  9.8782 16.6253 24.0741
##  [1054] 13.1489 11.4104 21.6412 17.4131 16.5362 10.4498 16.4485 15.0176 10.4172
##  [1063] 16.9329 16.3214 14.1616 19.2914 16.0788 17.3946 17.3274 14.5881 10.6417
##  [1072] 19.5880 11.6046 11.7635 17.7440 25.6106 15.9024 20.8996 15.0860 17.0338
##  [1081] 18.7308 14.2739 17.6681 14.0042  9.4298 17.9749 31.6612 16.4245 19.7292
##  [1090] 12.8820 13.4247 11.7978 22.6177 12.4929 16.3256  8.4208 17.2515  8.4949
##  [1099] 20.4967 18.4406 14.1303 11.2238 17.8908 15.1415 18.0344 11.6920 15.0983
##  [1108] 18.7010 14.1809 18.2053 21.9170 11.1203 13.4213 14.4338 16.5983 16.2488
##  [1117] 18.6521 14.0251 14.3465 19.4077 33.1774 22.2524 22.8837 20.5939 16.5679
##  [1126] 12.8885 16.5178 14.6933 16.6677 14.0529 19.5341 22.1804 12.9897 14.2714
##  [1135] 10.8931 17.9548 11.4630 19.4748 12.9249 17.2954  9.9433 17.3464 13.1201
##  [1144] 19.0281 16.9373  9.7926 12.2139 10.8043 17.7313 14.3307 16.0729 14.6532
##  [1153] 17.8763 22.9742 14.9425 14.8073 13.4825 16.3124 21.0722 27.3709 16.7074
##  [1162] 14.2789 15.3483 13.2396 10.0101 15.5187 13.7589 21.8067 24.3665 11.5563
##  [1171] 17.9976 12.1806 10.9163 23.7098 11.8208 16.1848 12.7729 21.3246 14.0825
##  [1180] 21.1572  9.2227 18.2950 15.3242 18.3546 21.2936 16.1295 20.9048 19.1333
##  [1189] 25.3491 18.1036 17.3123 11.9425 22.3873 14.5794 11.7462  6.4952 10.6400
##  [1198] 17.4242 15.5804 16.7925 11.1796 18.6897 13.9770 16.1316 11.4935 12.2540
##  [1207]  8.9091 16.5347 16.2064 23.9663 21.3000 17.8955 15.6416 22.1421 10.5373
##  [1216] 17.0154 16.1060  9.5166 13.8108 12.2732  9.7740 23.3829 19.8357 17.3184
##  [1225] 21.4931 23.1656 17.4362 10.1375 16.9611 12.2469 16.7156 22.6535 10.8390
##  [1234] 14.7512 20.5086 20.5211 18.4431 13.1926 21.1263 17.3021 14.4407 21.5336
##  [1243] 24.7998 26.5483 14.1315 27.2989 13.8604 10.9368 16.8020 17.0193 14.7512
##  [1252] 14.7024 10.9276 16.9050 12.6819 18.5533 19.4596 16.4361 16.9209 19.3474
##  [1261] 27.4124 15.0273 22.4806 16.8049 18.4643 14.4047 15.9104 15.6251  9.9076
##  [1270] 17.8412 20.4264 22.9948 19.7349 10.7626 12.6587  9.6324 17.4927 16.1944
##  [1279] 14.2311 14.7787 11.9315 17.0226 16.3656 15.7739 20.9824 14.3501  9.4125
##  [1288] 15.7326 13.7492 18.4390 15.3976 15.7463 12.8419 11.6617 22.1013 11.2294
##  [1297] 16.3998  9.1362 11.6483 20.0513 18.7732 13.3122 17.5656 11.4770 10.3798
##  [1306] 18.7374 17.8213 15.1076 13.2953 17.1201 11.9137 12.8407 13.0310  9.8876
##  [1315] 16.0163 17.5120 12.2005 18.6941 20.7096 17.1993 17.7588  8.8098 15.2933
##  [1324] 22.6285 14.4664 17.9491 11.9936 14.5709 18.0499 16.5422 19.7858 16.6775
##  [1333] 16.7436 20.1504 16.5348 12.9679 12.7565 14.2750 14.9709 11.5500 26.2016
##  [1342] 10.7434 16.9496 18.1779 13.0377 12.0636 14.6192 15.0989 13.1135 18.1703
##  [1351] 23.4559 11.8792 20.1032 15.0637 11.7593 14.5686 19.2910  9.3058 10.9762
##  [1360] 21.7911 15.6033 17.3558 11.9348 12.5203 15.0035 15.0986 16.4766 21.9704
##  [1369] 12.0376 11.4360 15.0047 16.9373 20.2852 14.3021 13.5445 14.0959 19.1347
##  [1378] 18.7560 13.8898 22.1673 18.6950 18.7052 15.8584 10.3775 15.3707 12.7487
##  [1387] 14.6586 13.5460 15.6073 17.4712 15.6880 17.9503 15.8863  9.7825 23.3905
##  [1396] 12.3601 17.2118 14.3729 11.4292  9.4483 21.0314 17.0214 19.6004 14.3268
##  [1405] 14.0178 13.7759 16.8736 17.5576 14.4989 22.6611 13.8962 14.5207 23.4547
##  [1414] 18.2180 10.5783 19.2491 13.2847 13.8595 17.9256 14.6073 18.2686 13.1413
##  [1423]  7.3987 15.0353 19.9107 17.3025 17.0477 12.7884 15.7078 19.6887  9.1944
##  [1432] 16.9639 21.6815 12.7110 10.2923 15.5378 21.5787 15.2821 17.5570 15.3680
##  [1441] 14.3029 16.0418 25.7549 17.7126 15.9917 17.8849 14.1523 19.1986 21.4770
##  [1450] 23.2510 16.3971 15.0150 14.7048 13.5058 14.3645 17.7755 14.0358 11.7049
##  [1459] 15.0141 15.7819 12.9631 15.8110 20.8467 16.7021 17.3148 27.0904 21.1178
##  [1468] 19.7742 13.4374  9.2254 12.2634 17.4944 24.3949 13.5072 14.8016 17.2148
##  [1477] 16.9455  9.6871 13.1237 20.7855 14.8284 21.6078 23.8413 15.7996 13.0366
##  [1486] 11.3108 14.7940 14.1829 19.1946 17.2121 18.5451 18.4725 16.4498 15.0295
##  [1495] 21.8943 14.5468 12.4015 32.6742 19.2634 17.1030 19.1285 17.8443 22.8966
##  [1504] 11.8679 14.6022 21.2982 16.1253 19.3536 13.6327 13.7061 13.9849 23.3150
##  [1513] 13.8066 19.9577 19.2049 10.1984 17.2257 24.0386 16.2549  7.7874 14.4884
##  [1522] 13.3235 15.7178  9.6310  8.9461 14.6619 12.7028 13.1603 15.0007 19.8414
##  [1531] 12.6557 16.6783 16.5860 15.1468 13.3418 16.5171 17.5948 16.5149 29.9028
##  [1540] 21.5245 10.4992 11.2464 13.3037 10.1334 16.4794 12.2720 15.1424 12.4698
##  [1549] 16.7053 16.5200 13.2168 10.7279 12.9136 13.6897 16.4074 12.6837 17.1088
##  [1558] 13.1125 11.9442 20.8188 18.5437 14.8394 15.4557 16.2549 11.0855  9.3375
##  [1567] 16.3510 16.6673 14.5486  9.1775 21.3759 14.5863 15.6707 23.1810 18.3194
##  [1576] 17.3055 13.4415 20.5685 10.7188 13.2859 20.9486 16.3240  8.8140 16.2484
##  [1585] 17.7938 11.4563 19.7426 17.6796 15.7674  9.0821 19.7174 14.5231 18.8695
##  [1594] 18.6470 20.9438 16.2696 18.1924 14.7695 16.2185 20.9998 21.0069 25.0899
##  [1603] 17.4242  7.8885 12.9782 12.1773 15.0430 19.9966 14.4479 20.8958 10.6077
##  [1612] 11.8532 18.3601 17.9778 14.0673 13.0873 12.1721 15.1918 15.2333 15.1146
##  [1621] 13.3845 25.3480 13.6897 21.4293  9.0698 14.4746 18.6316 17.3392 14.4161
##  [1630] 11.6902 23.2303 19.6686 15.1058 17.2122 17.1584 13.0892 12.7549 16.3713
##  [1639] 13.0862 10.1698 19.4286 19.1319  8.5554 12.3156 12.2475 14.4395 14.8721
##  [1648] 19.4024 23.0295 15.9454 24.6328 25.0278 14.7622 16.8032 12.3165  8.5372
##  [1657] 19.0246 18.5678 12.8955 20.5037 22.9155 17.2645 13.9919 17.0597 15.2281
##  [1666] 16.7652 12.3789 15.1825 15.3080 23.0384 13.4255 16.1955 22.2244 14.8135
##  [1675] 15.2025 28.8272  8.0993  9.8165 13.5351 16.1655 13.9285 26.2556 20.5945
##  [1684] 10.5567 16.6609 13.6487 17.9047 20.4581 10.7859 11.0566 15.1513 19.1994
##  [1693] 14.7778 19.9024 13.5556 18.3723 11.4829 12.9764  9.5492 25.9917 12.1620
##  [1702] 19.7751 24.1599 15.9924 14.2783 16.3851 15.4100 21.2719 11.8147 17.1258
##  [1711] 20.1618 20.1648 14.6189 12.1504 17.8875 22.0155 11.4370 15.1308 13.7845
##  [1720] 21.2853 15.3016 15.1162 14.6248 22.5547 23.1666  9.9721 11.0619 13.1181
##  [1729] 17.9452 32.1274 14.3237 23.9089 16.0305 12.3772 15.0391 19.4116  8.5310
##  [1738] 19.6889 12.7997 14.1070 15.7531 13.4599 14.4009 17.0751 11.7625 17.6994
##  [1747] 10.7436 10.9538 11.5462 15.0304 23.0215  9.2880 19.3988 16.5660 27.4273
##  [1756] 20.4438 22.3006 20.1341 20.0120 16.8589 18.2890 22.8027 13.4725 16.7491
##  [1765] 18.2418 23.7894 20.2500 15.5461 18.2678 10.2007 15.3322 13.4119 17.2586
##  [1774] 11.9748 17.0176 16.7454 16.1802 11.5606 23.7295 18.8997 20.0268 18.9748
##  [1783] 16.9625 12.7408  9.9252 16.1626 18.4085 10.4467 16.0735 23.2626 15.8319
##  [1792] 17.7716 22.7002 15.5870 14.6369 19.2808 21.3994 18.3100 20.9640 13.8944
##  [1801] 17.0510 12.7888 13.5858 21.8094 17.7166 20.3547 12.2051 18.3420 13.3173
##  [1810] 11.7697 12.4815 11.5567 21.2074 14.9877 18.1060  6.9150 12.4987 15.7225
##  [1819] 11.8138 20.5754 18.0609 11.1296  8.8100 15.4060 14.4693 13.6957 14.2511
##  [1828] 12.5464 19.5526 16.3065  7.5910 22.0441 16.8809 10.9150 15.0035 20.4078
##  [1837] 11.0365 13.6049 12.1221  8.6186 13.3834 15.8519 13.0728  8.7899 22.7810
##  [1846] 18.3993 14.7968 14.1709 11.7316 10.4452 24.6655 12.0503 14.2051 14.3884
##  [1855] 11.6264 22.5082  7.5981 16.5023  8.6894 16.2471 17.7564 14.1911 12.2188
##  [1864]  9.4629  9.7168 20.7230 14.3936 21.3333 19.7415 13.8329 11.3456 17.7890
##  [1873] 13.4831 14.4143 11.2794  9.0468 15.5277 15.6107 17.9701 12.5058 11.3497
##  [1882] 11.9576 17.9778 19.3329  8.5073 11.1143  8.6737 13.4124 11.6272 16.4440
##  [1891] 18.3999 25.6195 12.8691 19.5916 22.7286 10.8485 10.0450 14.0085 19.7732
##  [1900] 12.0725 29.3647 12.6238 15.1734 10.8360 21.4184 13.3141 13.5354 17.3692
##  [1909] 16.6565 15.7147 21.7239 17.6037  8.4757 19.9324 12.3803 23.2993 13.4586
##  [1918] 11.4335 16.2216 19.5700 19.4951 14.6739 13.6162 16.9543 19.8098 13.5205
##  [1927] 16.4412 20.3279 19.9297 13.9545 13.9876 17.7482 13.7702 17.7515 18.0599
##  [1936] 16.4734 17.9370 14.2396 11.1903 13.7808 17.8003 22.1724 19.7246  8.7985
##  [1945] 17.9020 14.7729 23.0641 12.0681 23.7251 14.3082 11.4807 10.3145 13.2376
##  [1954] 27.9098 11.5449 18.6875 15.3793 16.7898 21.1335 19.8698 30.7813 22.6033
##  [1963] 13.5829 22.1585 22.5911 13.0915 12.1219 18.4907 28.9073 11.6473 15.9254
##  [1972] 13.4004 14.0777  9.7694 24.0805 12.4359 15.8517 15.7252 21.4424 14.2173
##  [1981] 12.2608 20.1888 15.1790 15.2080 13.4612 15.4525 12.5529 16.8242 12.0780
##  [1990] 12.5274 15.8433 24.2870 12.3723 20.0787 13.9445 12.6903  7.6725 13.5828
##  [1999] 17.7533 18.9468 14.7466 16.5593 14.8177 19.2091 16.4097 11.3095 22.3468
##  [2008] 17.4117 18.5703 16.8979 16.7008 16.5278 17.9177 14.3105 12.1970 10.0852
##  [2017] 12.9281 19.5353 12.8521 20.4963 23.5168 14.4288 15.8148 15.5838 21.6145
##  [2026] 12.0197 11.4109 26.8530 18.1160 12.3733 24.4132 14.9111 12.4959 18.5977
##  [2035]  6.8105 17.9052 17.0011 17.8278 13.2808 17.6591 17.6577 10.7671 14.9083
##  [2044] 21.6694 27.2662 19.4406 11.2496 15.8972  8.3859  9.4562 18.1208 11.5365
##  [2053] 12.7479 12.4852 15.0108 15.0013 19.0193 18.4284 14.8973 11.5164 20.9257
##  [2062] 23.2312 19.1093 17.0329 16.5596 15.9651  8.5794 12.9746 19.6272 13.6254
##  [2071] 18.3189 21.5660 21.2104 22.6116 18.5626 16.9570 14.1783  8.1593 16.2667
##  [2080] 19.1525 18.9992 16.5808 12.3101 14.5811 13.3968 16.1051 24.4501 11.1056
##  [2089] 18.4599 17.4348 17.5170 15.5748 21.8473 13.7798 13.8647 15.2710 20.7154
##  [2098] 17.9149 14.9957 11.4497 22.4597 14.5270 15.3075 16.8808 11.2114 15.9218
##  [2107] 16.5337 12.8789 10.1967 10.7372 22.7016 23.9604 12.6499 16.1489 13.1104
##  [2116] 13.5359 16.6983 13.7241 13.9345 10.3537 15.0278 19.7684 17.4757 13.6417
##  [2125] 12.2090 18.0813 11.7720 24.2784 18.1024 10.7119  9.9622 14.9689 12.5762
##  [2134] 20.7356 15.5287 19.7904 16.1292 15.8952 13.8200 14.5490 17.7545 15.4655
##  [2143] 12.3012 13.6626 16.3279 17.2085 16.9921 18.5528 28.5108 19.6216  9.9039
##  [2152] 26.1995 19.6949 15.0957 15.6317 10.9940 14.8166 10.2342 15.6204 14.1854
##  [2161] 14.3191 15.3348 18.3809 19.2024 11.2743 13.0128 18.7374 14.4257 23.1264
##  [2170] 13.4909 14.8147  8.8647 16.6735 16.6027 11.8451 13.7397 14.1811 13.5539
##  [2179] 18.4000 11.3995 18.8182 21.8092 12.1951 20.1902 14.5674 12.7604 15.0463
##  [2188] 17.4803 18.6151 16.3310 15.0861 16.1383 11.5268 13.9954 17.1622 12.7695
##  [2197] 14.2470  9.7401 16.0851 11.1637 24.9225 10.8326 15.4547 18.7186 15.1659
##  [2206] 14.9728  9.6578 14.2951 15.8030 15.7046 15.6527 12.7416 10.8999 15.7541
##  [2215] 15.3250  9.7965 11.6961 16.7403 18.6772 14.4769 11.3621 17.0847 14.1548
##  [2224] 17.2828 16.3375 10.1253 16.8533 19.9969 18.4442 15.9239 16.6485 12.4135
##  [2233] 22.7418 18.1063 18.8001 16.6273 19.3588 13.1375 16.4009 16.4514 13.7366
##  [2242] 17.2410 16.8017 16.8003 12.7682 22.8540 13.9075 11.3153 16.0463 18.0688
##  [2251] 15.3384 20.2058 24.7060 16.5389 12.7997 10.6716 12.3587 24.0922 10.5962
##  [2260] 19.8086 14.1917 11.6761 14.2587 10.5211  9.5719 11.2074 14.0655 14.5713
##  [2269] 14.9618 20.2421 14.7799  9.9581 15.0237 17.6632 17.6799 16.2534 18.5462
##  [2278] 14.8926 19.5626 19.2398 21.0780 21.4939 21.5986 12.8282  9.7342 13.0449
##  [2287] 11.9510 13.6743 14.7966 15.0387  9.3606 10.7810 18.1455 14.1357 14.9432
##  [2296] 12.2789 15.3730 14.5355 18.0437 16.3161 15.8722 11.3892 13.4513 12.9249
##  [2305] 18.0868 11.9894 15.9578 18.2752 14.2639 14.3710 16.8406  8.6283 16.9481
##  [2314] 13.4179 11.5764 10.2321 18.3830 12.2625 12.3531 13.0014 13.2515  9.1171
##  [2323] 17.3395 11.4079 17.3371 23.1349 16.1605 13.6501 13.0437 15.6569 13.4709
##  [2332] 19.3475 13.4006 10.9269 10.3383 14.3973 20.1720 14.3344 15.7563 21.2608
##  [2341] 11.8229 21.7717 11.5235 27.7902 15.4850 13.3740 27.2982 14.7391 10.9924
##  [2350] 14.6821 27.0337 13.5623 11.3955 20.7628 15.7643 16.4211 13.1298 18.2548
##  [2359] 16.2551 16.9216 23.4152  9.4677 12.7469 15.0019 10.6112 23.0190 18.6974
##  [2368] 12.4995 12.9027 15.2399 22.3550 24.0441 15.0502 14.7840 14.2065 24.8513
##  [2377] 13.9887 16.9089 23.2705 19.8651 23.3021 21.4848 14.4523 13.4532 20.5730
##  [2386] 17.7856 17.1576 23.4163 14.0827 11.1852 13.9656 19.5798 23.7459 12.8811
##  [2395] 10.2370 20.0301  9.4516 19.1342 15.0761  7.8291 10.4107 16.7172 13.0323
##  [2404] 26.0628 15.7433 20.2813 11.0917  8.7861 14.7961 11.9188 10.5769 20.0797
##  [2413] 19.7466 14.1207 12.5753 13.6329 13.2022 11.0352 23.0881 13.2999 11.9681
##  [2422] 10.6938 19.1030 17.4403 18.1913 20.5375 11.0448 20.4901 17.5390 16.7375
##  [2431] 18.8909 27.8028 15.4228 13.5540 21.0078 15.1615 10.7254 13.9582 12.4014
##  [2440] 19.7776 22.0205  9.8618 12.4841 21.7852 10.4612 14.5928 23.3239 16.8184
##  [2449] 22.3999 15.1678 14.2460 15.4462 16.6136 15.1388  9.3552 13.9201 21.5223
##  [2458] 19.1993 11.4569 12.7849 12.5696 12.6565 18.9613 17.1627 17.7911 17.1693
##  [2467] 13.4388 18.4102 14.4921 21.2677 22.4460 13.3699 18.3634 11.9338 12.9576
##  [2476] 23.9831 10.1080 15.6277 22.4682 11.3386 19.2027 15.1316 10.7271 20.6805
##  [2485] 12.8802 26.8633 13.2581 19.9370 14.2583 11.8728 22.1203 27.9210 31.7844
##  [2494] 18.4436 15.8451 14.9857  8.8544 23.2149 13.7206 18.0554 19.4771 14.5242
##  [2503] 13.6950 10.7184 20.7474 18.0943 15.8684 14.5618  9.1774 19.6031 18.4345
##  [2512] 12.3344 13.0191 13.0736 13.4150 14.3149 11.5774 22.2548 14.5639 15.4180
##  [2521] 12.6247 13.5533 29.9128 14.9256 19.2808 18.0947  8.6576 12.6187  7.0122
##  [2530] 13.9526 12.4798 16.1262 13.0506 12.2052 11.1199 12.7710  8.9108 20.5465
##  [2539] 21.9096 28.8039 10.7242 14.9612 12.5131 18.1471 19.9037 12.9013 10.3437
##  [2548] 11.6488 20.3270 14.6293 15.6039 16.9596 19.3333 12.5824  9.8994 14.5930
##  [2557]  9.4139 11.2503 16.4624 15.7689 16.9519 12.1542 12.1118 18.6110 11.5765
##  [2566] 17.6961 13.7663 11.6911 20.0623 13.4631 11.7119 18.9013 17.7202 15.1774
##  [2575] 16.3818 17.5956  8.6277 11.9070 14.2184 14.1890 28.6966 18.4235 13.9865
##  [2584] 12.4990 16.3125 26.0825 17.6314 11.1813 14.4634 16.0328 14.4411  9.8361
##  [2593] 12.9832 22.8993 12.7392 12.7108 13.0479 18.6750 11.2019 10.3890 11.9668
##  [2602] 10.4350 15.9496 21.5908 18.1406 17.7244 18.1157 13.5033 25.5040 23.6594
##  [2611] 15.1045 12.9221 20.5662 11.5509 15.2981 16.7527 11.4819 20.3386 19.3167
##  [2620] 26.0870 12.0896 22.9987 22.4114 10.0753 20.5522 14.7618 13.8460 15.5298
##  [2629] 13.0735 12.6385 23.8115  9.6306 16.2442 17.1504 17.8493 13.9545 13.4287
##  [2638] 10.5585 16.8687 18.6610 20.3912 16.2826 11.5871 22.0308  9.9131 18.4952
##  [2647] 11.0073 20.3437 14.6947 10.2159 19.2565 14.1505 17.2317 20.6020 22.0543
##  [2656] 10.8363 19.0631 21.3933 15.1021 15.1753 14.4505 11.5049 16.1154 13.8632
##  [2665] 11.0358 23.5336 16.0085 17.2829 18.5464 15.1265 14.3418 14.2940 12.3916
##  [2674] 15.1128 14.3104 14.1044 12.1062 13.1264 14.8900 12.2740 13.8237 12.6709
##  [2683] 19.3352 14.0347 13.7794 19.6837 17.9724 17.8667 12.9123 12.6037 17.0379
##  [2692] 17.1805 12.4896 13.2128 15.9646 23.6284  7.5854 11.9244 20.6968 16.9545
##  [2701] 13.3374 13.6978 21.1698 16.6637 11.6528 16.2967 17.2613 12.5755 12.2460
##  [2710] 16.1547 13.9810 13.4261 14.5280 14.5918 14.6972 17.0809 20.3730 12.4842
##  [2719] 13.7470 19.8815 14.7377 16.8757 15.5231 11.7953 16.6183 14.9468 18.1569
##  [2728]  8.8921 13.8967 13.6681 17.2833 21.3078 20.0615 12.3113 17.4139 16.3871
##  [2737] 19.9116 23.0876 11.1119 14.3557 14.4434 17.6423 13.9399 16.7527 17.9742
##  [2746] 12.6840  8.6770 16.4623 17.0051 19.1901 20.8668 12.3727 13.3774 20.8261
##  [2755] 15.2693 15.4349 24.7514 11.7360 22.6261 16.6202 14.2373 18.5355 20.9343
##  [2764] 16.3002 12.9031 26.8990 16.2461 12.7657 15.9171 15.1731 13.5649 14.5926
##  [2773] 12.3012 12.9805 13.8806 13.2202 17.3210 17.1894 13.4252 14.6583 13.8369
##  [2782] 20.4468 20.3558 13.7833 18.5664 13.9879 22.9432 10.0643 13.3423 13.0583
##  [2791] 20.0864 17.3268 12.1270 13.8704 17.6134 10.9919 16.0870 15.9662 11.1503
##  [2800] 11.0046 13.0679 15.0154 12.8802 25.1904 13.7403 14.0359 31.9224 22.5630
##  [2809] 12.9777 14.9438 13.2975 18.3161  9.6644 14.5171 13.4059 14.2151  9.8455
##  [2818] 12.1999 15.4080 29.8322 15.5532 13.5722 16.0611 11.0867 16.2495 13.7511
##  [2827] 11.0536  8.8932 14.2764 13.0175 20.4568 15.6433 13.8833 17.5558 18.8381
##  [2836]  8.6666 12.5745 11.9050 18.1036 16.1440 18.7412 10.8172  8.7096 14.9615
##  [2845] 15.9348 11.8995 12.0736 14.0306 12.2282 14.0139 22.8074 14.9218 16.5705
##  [2854] 21.8650 16.8704 17.6419 15.1512 21.4823 17.4205 14.8011 14.6613 17.4034
##  [2863] 16.9297 14.9736 15.8707 19.5173  8.9794 19.8734 14.8334 15.2708 15.8295
##  [2872] 16.1434 14.9107 15.1721 15.6241 13.8185 14.6316 27.9013 16.7920 16.9103
##  [2881] 17.2998 23.0080 23.2555 12.1665 23.3675 16.6915 12.4503 11.9719 14.1115
##  [2890] 17.2176 25.4500 18.1340 12.0150 12.8683 26.7270 26.7273 15.7495 15.7322
##  [2899] 16.3851 21.1419 23.8185 18.5052 16.0925 16.0712 17.7103 17.6728 15.7821
##  [2908] 13.4185 10.8174 12.4464 14.2281 16.9697 13.5802 17.3076 22.4674 13.6705
##  [2917] 18.5433 16.8820 10.3886 15.1986 15.8532 23.8780 22.5154 15.6123 14.3690
##  [2926] 18.5416 19.7225 14.7741 17.0064 10.7427  8.4810 27.4667 10.1451 17.9991
##  [2935] 16.7882 17.7539 19.5546 15.7176 16.5948 14.2492 13.9982 12.8529 18.3074
##  [2944] 12.8531 24.9222 17.1268 15.8885 10.8834 15.0305 19.4503 19.6862 18.5099
##  [2953] 18.4126 14.7205 13.5623 16.9556 16.8621  8.1653 13.9086 13.1123 14.9202
##  [2962] 13.5683 18.0847 15.3472 23.5784 11.4002 15.0130 21.5409 16.4287 20.8252
##  [2971] 13.1306 13.8036 12.6682 28.0131 18.9580 16.7684 14.3486 14.4572 19.4415
##  [2980] 14.9632 15.8549 10.6411 19.3557 15.3555 12.1145 20.3138 19.5729 13.8624
##  [2989] 23.9416 15.8130 19.1558  9.8227 16.7851 16.0226 16.2073 15.7744 17.0319
##  [2998] 13.4498 17.7654 10.5538 11.9001 12.9055 20.0879 24.8529 12.7131 12.2667
##  [3007] 12.3504 17.7230 26.6801 12.3516 18.8333 16.7870 14.5636 24.4190 17.5424
##  [3016] 10.1842 11.1862 20.3766 27.5623 15.2436 13.0625 12.8037 14.1294  8.5934
##  [3025] 20.4255 15.1810 13.2883 20.3124 11.8714 17.6398 13.8246 17.8620 22.9674
##  [3034] 20.3608  9.7172 19.6827 24.1696 13.8238 15.4847 18.6208 22.9250 17.1537
##  [3043] 12.1240 14.0199 15.3592 14.0689 11.0425 28.5287 14.6159 12.8838 15.3892
##  [3052] 13.8243 17.8612 20.5744 31.2613 17.7829 14.1287 16.2578 12.6660 10.8603
##  [3061] 17.8305 15.1084 13.0118 20.0004 17.0781 20.4388 14.6817 16.0890 14.4655
##  [3070] 13.6983 18.3261 21.7584 17.6708 15.3653 19.1358 17.3604 15.5574 11.5366
##  [3079] 14.5341 23.7232 24.6704 12.0020 14.4111 19.2470 15.1152 22.8613 17.2419
##  [3088] 10.7109 15.2322 15.9191 18.5503 15.5066 12.4805 17.7482 11.7484 25.9154
##  [3097] 12.7960 15.0495 14.4453 11.5996 20.7606 27.2795 17.2681 26.4536 11.0390
##  [3106] 20.4609 18.4382 14.8199 23.3859 14.4160 15.5902 14.5936 16.9221 11.1654
##  [3115] 15.4850 18.9722 12.7900 17.5189 17.8817  9.9657 19.0787 14.4221 21.7807
##  [3124] 22.0334 21.3309 15.5693 15.9545 16.9019 14.8002 16.0855 13.2814 15.8394
##  [3133] 13.5242 15.8184 22.3107 12.4650 15.5708 23.0517 15.9883 10.5203 18.5416
##  [3142] 16.4916 21.3318 23.2244 23.7544 13.0131 13.6099  8.6470 13.3280 16.3861
##  [3151] 16.0851 15.2650 18.4961 13.1638 18.5724 24.5894 14.2008 17.6688 14.8314
##  [3160] 22.2871 14.6732 15.8179 17.6663 26.3526 20.7062 10.7936 12.6854 18.9638
##  [3169] 10.2148 11.6960 25.3750 18.5921 12.2059 11.5127 18.1582 18.5375 14.1256
##  [3178] 14.2447 14.8701 11.0841 13.3535 15.8490 12.6925 11.2769 13.7426 15.3021
##  [3187] 13.5457 17.7882 11.0926 18.8214 11.0499 28.6947 13.5635 13.4552 15.7701
##  [3196] 19.3485 15.0536 16.3804 20.5722 14.8688 11.4321 15.8181 20.0589 21.9292
##  [3205] 10.5525 20.6565 16.6724 16.6090 17.3311 15.7045 10.8898 17.2663 12.0019
##  [3214] 12.9556 22.4392 19.3827 12.6529 18.7592  9.1638 24.5884 14.1576 19.9373
##  [3223] 16.7957 18.6787 16.7266 12.2612 14.8745 19.1352 10.9132  8.8617 11.7177
##  [3232]  8.4614 10.5017 12.1125 16.3679 13.4427 16.4777 22.8317 27.3660 15.0103
##  [3241] 18.5467 16.9282 13.9484 10.5384 13.8445 11.0376 14.1455 18.5224 18.9113
##  [3250] 13.4679 17.3003 19.2753 14.7849 14.2140 14.7638 21.4077 11.8353 16.0814
##  [3259] 18.1408 13.4543 12.5434 14.9995 11.7956 14.3440 14.1391 16.6143 19.3993
##  [3268] 12.2268  8.7757 14.2390 12.7516 17.9997 14.8289 20.9520 12.4778 13.7869
##  [3277] 15.1040 15.5003 16.1592 20.6030 26.4779 13.1214 14.5568 18.3485 21.5292
##  [3286] 11.3075 10.1428 11.0150 12.7326 18.4644 10.3133 15.8938 11.1507 25.9771
##  [3295] 13.5533 16.1807 14.9321 15.6909 18.9815 13.3269 12.9761 15.7003 16.4238
##  [3304] 15.7660 15.3647 15.4772 10.8266 21.3269 13.8557 20.5815 21.0131 17.8396
##  [3313] 17.3459 15.4297 16.6507 16.5655 18.8018 13.1598 18.3836 15.1523 17.2207
##  [3322] 15.3826 14.8354 12.6592 15.9812 12.9499 17.1017 14.0157 14.7945 11.3924
##  [3331] 20.3770 15.2544 15.1900 16.7938 14.9280 17.9650 16.5942 11.9123 11.3399
##  [3340] 14.9708 11.6848 18.2651 22.2464 22.3609 13.8002 17.2670 12.3562 21.6173
##  [3349] 16.8879  9.0091 12.4061 13.3771 16.3895 23.0249 12.4609 11.0942 15.0525
##  [3358] 15.8605 19.2402 15.0915 19.8272 14.2180 20.7187 10.3571 10.5776 21.3133
##  [3367]  9.7387 10.2489 12.9513  8.7805 11.8821 16.0470 17.1539 11.7348 12.4090
##  [3376] 14.1097 16.7489 12.7686 10.9498 13.6054 15.6194 12.0080  8.5823 25.6171
##  [3385] 15.9291 10.9527 19.4182 14.9448 18.5628 21.6207 16.8974 19.4592 12.5012
##  [3394] 18.8715 16.8359 11.6981 18.9227 12.2633 10.2018 17.1278 13.9229 10.3293
##  [3403] 11.5027 15.1487 17.4333 18.1955 14.7882 21.3273 22.2972 11.4089 14.7030
##  [3412]  9.3340 13.6606 13.6074 13.2381 11.3824 13.3043 24.7371 16.3148 16.0869
##  [3421] 13.9271 14.9160 21.9719 16.2272 13.4075 19.9954 11.5188 15.1464 20.0111
##  [3430]  9.6251  7.7952 20.0218 19.1092 19.1275 14.3817  9.6777 13.2739 18.3915
##  [3439] 14.0141 16.7417 15.2166 15.2511 18.1309 16.2703 12.6509 20.6933 17.3327
##  [3448] 23.7850 16.6133 19.5724 16.8578 20.7825 15.4817 12.7571 16.9575 12.3726
##  [3457] 16.8199 10.2096 19.6585 11.5655 16.2973 19.8357 13.5695 15.4154 20.0151
##  [3466]  9.6654 25.4849 21.2772 20.3867 19.6443 12.9553  9.4423 17.5886 13.1178
##  [3475] 13.6411 13.9593 14.6846 21.6761 23.2054 13.1389 14.7715 19.2365 11.9081
##  [3484] 17.5684 17.6218 12.5389 21.4342 16.3890 13.4442 10.6892 25.6186 14.8192
##  [3493] 20.2005 15.8461 13.1849 24.1795 17.2273 14.3577 12.0514 13.3491 14.3734
##  [3502] 11.7417 13.0222 13.1644 19.4309 14.7595 25.5452 17.6102 19.1672 14.6254
##  [3511] 12.1415 16.4986 11.6872 17.1946 11.3469 19.3107 11.4648 14.9963 14.2795
##  [3520] 13.3699 15.2542 13.6198 10.3556 23.3015 20.4232 23.2431 26.3414 18.3683
##  [3529] 27.3629 14.2107 15.0476 12.6367 16.4013 16.1230 18.3378 16.7700 16.9214
##  [3538] 15.5801 19.0992 21.3478 13.4036 19.1674 14.6171 15.6941 15.4508 22.0928
##  [3547] 15.7236 26.5080  9.3626  9.8751 13.5854 15.0856 10.6239 16.9850 18.3831
##  [3556] 13.5816 23.0739 16.2273 16.9776 17.4585 17.9545 16.7666 22.8740 21.6079
##  [3565] 17.2295 24.1572 12.2633 17.2255 13.5573 19.5635 24.6157 10.9361 19.1402
##  [3574] 17.4088 21.1312  9.5818 14.3379 15.3146 13.7904 11.6823 17.7888 14.7614
##  [3583] 12.5585 24.8008 13.5411 13.9775 19.1514 14.9495 21.8404 23.1603 17.6807
##  [3592] 15.6636 17.5285 13.1726 17.9836 12.3002 12.8040 21.1473 12.4890 17.8864
##  [3601] 15.2687 22.2115 19.9550 13.0329  9.0595 19.5588 14.0288 14.7426  9.0897
##  [3610] 20.8327 21.2433 13.9827 13.6270 16.4713 20.4167 14.2409 10.8940 11.6100
##  [3619] 12.1717  9.9669 12.1637  7.4657 12.2827 21.8045 13.2971 21.5358 16.0423
##  [3628] 10.9444 11.6053 11.3409 16.0903 17.7490 15.2079 12.7890 10.1643 18.3742
##  [3637] 16.9994 14.3626 10.4022 10.9621 14.3320 12.5554 18.2239 11.7588 15.8009
##  [3646] 21.1895 14.4352 20.5964 15.1920 14.1923 15.2865 17.1425 13.9346 15.8254
##  [3655] 17.1618 12.5510 11.7663 11.1754 17.1990 10.7717  9.8229 10.9907 14.1059
##  [3664] 16.9089 20.1264 15.8083 10.7973 17.9153  9.2746 20.4403 13.9653 16.5371
##  [3673] 15.0002 19.1845  8.3318 18.8620 15.9002 10.9026 13.9245 19.0962 22.4777
##  [3682] 17.7403 15.0632 19.6759  9.7095 13.4562 12.2713 19.0630 12.3223 14.6726
##  [3691] 18.3784 13.9677 16.3320 19.3856 10.5410 18.2923 18.2403 13.2629 18.5206
##  [3700] 14.6343 13.5443 11.9243 11.4843 17.7056 11.0623 20.0966 20.8385 16.8866
##  [3709] 12.4182 14.2382 21.5862 15.3529 32.0156 10.4668 11.5811  8.5281 17.5948
##  [3718] 16.5754 12.6123 18.1151 10.6756 14.2788 12.9050 11.4087 17.3670 12.2999
##  [3727] 15.9250  8.3817 20.4923 17.6594 21.0945 11.7113 21.5198 15.6520 16.9961
##  [3736] 15.7685 17.9230 14.1684 13.0449 17.9200 25.8334 14.2402 13.9905 11.5829
##  [3745] 28.3544 10.2946 23.4358 15.3881 13.8830 19.0888 16.8307 14.2663 17.4723
##  [3754] 12.4611 21.3513 12.1169 12.1173 17.2129 15.1306 23.5717 21.0448  9.5735
##  [3763] 17.5875 12.8552 13.3438 13.8698 20.2716  9.9959 18.2191 23.4676 13.8376
##  [3772] 12.5197 13.0296 15.3827 12.5380 12.4578 13.4061  9.3085 10.8860 16.3397
##  [3781] 13.4648 16.9519 24.0271 16.5454 27.2780 30.7142 19.3355 17.2161 16.9074
##  [3790] 11.3802 15.8034 14.6358 19.2893 23.4020 31.7665  9.3398 12.3611 13.2794
##  [3799] 18.4777 14.5913 25.9633 14.0220 13.5817 17.8369 10.8101 17.8946 14.0223
##  [3808] 21.3513 13.3008 12.7769 10.1957 25.6487 17.1689 13.8013  9.0397 16.5516
##  [3817] 13.8389 17.8781 12.1102 15.7177 12.9346 10.8404 32.3487 11.9020 12.6442
##  [3826] 18.8974 15.0010 13.9898 11.3701 18.4548 15.8466  9.8200 16.4221 10.5208
##  [3835] 16.7014 13.8278 16.8692 16.2958 14.4446 22.8444 19.4607 11.9409 19.8413
##  [3844] 16.6572 15.0881 10.3548 19.2702 13.3687 14.4133 14.6688 12.2957 17.7510
##  [3853] 11.4693 12.7752 13.4432 20.7261 16.7383 14.7689 13.1616 14.4944 18.9892
##  [3862] 19.4180 13.3394 14.3858 19.4896 11.1092 11.0137 19.4827 22.5057 16.7116
##  [3871] 14.0388 14.7804 15.1005 20.2309 10.2693 16.9073 23.4538 21.0562 21.9823
##  [3880] 16.7924 16.9792 13.3863 12.9369 14.6684 10.4704  8.9465  8.6747 22.1630
##  [3889] 15.0455 16.1853 15.4895 18.8613 23.3209 11.0594 12.7975 12.7289 13.9089
##  [3898] 14.3681 11.5890 17.8192  9.6721 24.6532 17.3814 19.4495 19.2836 14.7392
##  [3907] 16.6072 12.2222 17.7343 24.4834 14.5700 16.0528 19.9167 26.8072 13.6422
##  [3916] 10.2369 17.9974 18.2847 15.7359 13.0303 22.5757 18.2810 11.5093 18.9089
##  [3925] 17.1865 16.0204 12.7791 12.9370 22.3809 13.3745 18.7245 15.6073 14.6829
##  [3934] 12.7827 14.5953 14.9256 20.5576 16.8669 13.1921  8.8008 13.2497 11.2843
##  [3943] 16.1696 15.8700 26.3470 19.3108 14.1910 20.1014 11.2112 16.5373 13.7522
##  [3952] 11.7269 10.1901 23.1840 19.3020 17.1569 13.1057 17.5620 17.8447 10.8712
##  [3961]  9.7676 22.5437 19.6459 11.7719 22.9758 18.1210  9.4088 18.3203 22.0529
##  [3970] 10.7789 18.2057 17.5619 20.3061 20.8301 12.1214 24.4367 16.4131 10.0674
##  [3979] 15.2189  9.5446 15.2486 14.7278 18.2222 12.0639 20.4104 15.1796 15.9637
##  [3988] 12.3330 17.8421 13.9759 13.5635 21.3742 18.5791 12.4735 16.5440 23.6928
##  [3997] 15.2624 17.4550 13.2167 13.8744 10.3113 11.3434 13.5712  9.8896 11.5279
##  [4006] 16.6935 22.2047 20.6963 14.8668 23.7472 18.6909 15.1986 21.9205 22.7709
##  [4015] 13.9628 15.2655 13.2550 16.3985  9.7743 19.3568 18.7367 13.4929 26.4832
##  [4024]  7.4350 15.2180 15.8752 11.2009 17.8270 12.2336 12.0949 16.3601 15.7357
##  [4033] 18.1244  9.8777 13.7136 12.0912 16.6879 15.7214 16.5749 14.1903 12.8525
##  [4042]  9.9978 15.2157 20.1009 18.2512 14.7020 21.1982 16.3979 20.1976 13.1949
##  [4051] 22.4669 22.5046 15.6537 14.8515 12.8046 14.6080 16.7883 12.5489 13.2982
##  [4060] 16.2374 11.6354 18.6787 17.8527 11.2007 19.4896 17.1786 20.3965 14.7244
##  [4069] 14.3622 17.9364 18.7156 13.3966 17.1962 21.3197 12.9475 11.8216 12.0746
##  [4078] 16.6899 17.9068 11.9068 10.9183 11.5429 13.4668 14.9171 17.6319 15.6180
##  [4087] 17.7401 16.9371 12.7541 21.9751 16.0905 22.7862 21.5075 16.9375 19.4769
##  [4096]  8.3495 10.4715 25.0021 15.5288 12.3557 17.0894 12.4070 24.9035 13.6799
##  [4105]  9.5638 17.2810 16.5251 17.5078 24.0330 19.6298 12.6810 16.6400  9.4089
##  [4114] 18.8290 24.3871 17.4023 14.4353 18.7956 13.7400 18.5442 18.0260 19.9188
##  [4123] 19.4074 20.3854 20.4051 19.8381 15.1760 13.4056 17.9745 13.4519 16.6093
##  [4132] 11.8086 14.8994 13.0245 12.4349 15.1825 14.2622 21.2172 19.0011 11.4790
##  [4141] 11.0229 28.2970 12.3585 14.1514 12.0013 14.9840 11.7511 15.9652 16.3829
##  [4150] 22.7442 16.3122 19.1704 11.8780 20.1808 23.7322 15.7739 26.3572 15.3779
##  [4159] 14.8370 11.8831 15.7372 14.4181 16.7197 22.5074 12.1156 15.7670 10.9462
##  [4168] 14.0084 14.9322 10.9880 22.1324 14.1095 10.8153 17.2907 14.8906 21.4423
##  [4177] 15.1833 14.4142 15.0678 18.0516 15.8474 20.5056 13.4898 21.3772 14.9830
##  [4186]  8.8990 11.2788  9.9687 15.4986 17.5305 20.6986 18.5283  9.7143 16.2540
##  [4195] 11.8303 12.9485 17.9775 14.5379  7.4797 19.3559 12.3192 14.8740 22.6025
##  [4204] 13.0477 19.9192 10.9262 13.6757 20.0432 14.8012 15.3358 14.7567 19.7671
##  [4213] 19.8316 14.3981 12.0781 21.2021 21.6269 13.4926 22.4471 17.9827 18.9245
##  [4222] 22.3577 15.5136  8.6168 12.5561 14.1623 19.8293 13.4409 12.9242  8.9769
##  [4231] 15.5970 19.9411 11.2674 12.3412 15.6556 11.2712 11.2546 16.2026 11.1113
##  [4240] 13.0025 22.7109  7.7076 10.4115 20.1619 17.3621 23.6778 12.7549 10.6478
##  [4249] 22.1123 19.5018 11.1391 25.2794 17.7512  8.8574 16.2125 11.6845 11.5366
##  [4258] 16.1851 12.7486  7.6700 17.6827 14.2037 17.7361 16.8759 15.7911 34.6087
##  [4267] 15.4496 17.3207 15.3890 17.6733 19.3922 18.3108 16.8529  9.4144 19.8083
##  [4276] 11.2716 11.6746 18.3291 12.2266 16.7163 21.7798 11.0466 19.6167 12.7273
##  [4285] 11.3887 15.7093 13.3567 14.0614 11.0820 17.2509 15.0376 22.3958 16.8802
##  [4294] 11.8836 10.2942  9.5359 13.9469 19.0655 21.5577 12.7126  7.6906 25.5032
##  [4303] 13.3046 18.8088 19.4810 12.4920 17.3330 21.0978 11.9622 21.5036 15.0646
##  [4312]  8.8761  8.8942 15.4458 23.0114 16.2292 15.7949 20.3721 17.6136 15.8691
##  [4321] 12.8292 20.7055 20.0006 15.8920 10.0239 22.9617 18.9169 15.3547 21.1286
##  [4330] 15.2186 28.3801 17.5065 12.1851 14.6256 12.6042 18.4874 12.4981 17.3406
##  [4339] 14.9488 12.4156 21.7556 14.5738 21.7497 13.4535 13.6154 20.3833 18.2409
##  [4348] 11.6498 13.3419 13.2786 14.1892 15.6039 15.6424 16.5725 11.4723  9.7204
##  [4357] 12.3083 13.3373 20.4272 18.9035 24.8956 18.6182 10.4012  9.7400 13.1253
##  [4366] 12.8783 16.5951 29.2036 17.8485 16.5089 11.7185 14.8264 15.4971 21.0398
##  [4375] 29.0367 13.9108 12.7496 19.5154 19.4904 13.8905 11.5365 10.5106 11.6797
##  [4384] 26.2258 19.9582 16.8133 20.5269 26.8548 17.5403 15.9831 17.5575  9.3115
##  [4393] 12.3481 13.2409 13.0639 24.3371 13.2813 14.3592 13.7081 12.3136 19.1574
##  [4402]  9.7940 15.8407 11.7651 10.0365 16.0055 17.9731 16.1264 24.7500 14.8101
##  [4411] 13.8833 11.3401 14.0408 16.9636 12.2389 19.6653 20.9863 18.2822 13.0728
##  [4420] 18.4533 18.1650 14.3258 20.8587 11.7276 10.2389 19.2997  7.3481 12.6845
##  [4429] 12.2983 11.0264 14.2263 11.6407 15.8449 14.2780 11.3436 11.6270 19.7847
##  [4438] 18.5052 25.8305 21.2808 19.2519 12.2662 15.9047 19.0688 14.6156 13.5073
##  [4447] 17.6344 13.1658 12.3567 12.5308 21.7837 11.6692 15.4172  9.6314 12.8567
##  [4456] 18.9429 20.5697 15.2601 14.9829 20.0266 12.8776 18.5166 22.2538 12.5540
##  [4465] 16.9016 11.6986 12.6042 13.0608 10.2281 21.8040 17.6116 21.4940 17.8517
##  [4474] 17.0239 11.2699 22.0245 14.2493 16.1774 15.5957 12.2936 17.4791 19.5666
##  [4483] 16.2729 12.6225 13.2955 16.3610 24.1693 18.1455 18.2816 12.7222 24.4968
##  [4492] 14.3634 12.8922 19.6007 13.3351 27.0193 18.6618  9.9017 22.2841 17.5578
##  [4501] 12.5016 24.1983 15.8062 20.8608 16.4600 17.9338 18.3763 14.3168 15.5780
##  [4510]  9.5377 15.6399 11.5000 12.3167 17.5821 13.9956 12.9627 16.8759 16.5146
##  [4519] 19.4622 14.1185 14.5740 13.2184 16.1253 21.6489 17.7316 16.1508 13.2479
##  [4528] 26.8209 20.9910 23.4265 15.6542 19.6598 11.8634 18.6328 12.0826 17.5627
##  [4537] 13.4323 17.5033 25.3275 13.3411 14.8495 10.4015 17.9092 14.8705 18.2244
##  [4546] 16.4581  7.3766 14.1753 16.0629 24.7943 14.5068 17.5747  8.4153 17.1771
##  [4555] 17.1475 19.2719 14.1187 11.6631 15.9797 21.5810 17.1314 12.1244 12.1798
##  [4564] 12.7094 12.2717 28.2023 13.4458 13.7707 18.4489 13.1525 18.6451 14.8004
##  [4573] 12.0242 14.5976 20.0600 17.1658 12.6915 10.3392 10.1889 16.7078 10.0307
##  [4582] 20.8738 16.4390 21.5036 11.2146 12.4251 21.0923 11.6578 15.4388 14.2939
##  [4591] 15.8910 13.5205 12.9405 25.9567 13.3061  8.6170 26.7073 14.7448 26.2794
##  [4600] 19.0360 10.4492 16.4967 14.3190 22.5441 13.7903 21.4790 17.7824 12.8372
##  [4609] 17.5662 13.4108 16.0858 14.4364 16.4789  9.8347 10.9497 10.3577 11.6691
##  [4618] 22.0619 20.4196 17.3768  9.9928 11.3618 13.7173 12.6383 11.5533 11.8757
##  [4627] 15.1423 17.1109 15.5091 14.8781 22.7115 17.1593 10.8667 13.4015 13.2793
##  [4636] 19.1178 21.6656 13.8373 14.9070 20.9715 18.2139 21.7019 13.1533 15.2594
##  [4645] 15.3714 17.2749 15.1702 13.7089 12.7371 12.6644 13.3237  8.8179 15.6531
##  [4654] 12.4231 13.3599 16.9399 17.7335  9.3189 20.3863 15.8727 13.0224 10.1729
##  [4663] 15.6951 15.6205 16.0188  8.5578 18.5430 12.0639 12.0391 25.2599 15.5155
##  [4672] 15.7136 15.5836 18.8982 19.8414 19.0996 11.6109 28.4790 15.1399 13.5784
##  [4681]  9.2546 21.2122 15.1479 20.1834 22.6509 24.6395 29.0541 12.0914 14.4972
##  [4690] 25.3731 14.5431 23.9041 11.6002 12.7612 12.8802 13.4895 21.3502 12.2664
##  [4699] 13.7930 12.5098 11.3709 17.7582 14.5169 23.0666 18.5966 23.8159  9.9729
##  [4708] 17.6930 17.9877 17.0011 11.9339 11.4756  9.4301 16.2560 18.1910 14.3977
##  [4717] 12.1965 21.8711 21.2054 18.6854 10.8331 14.6083 22.9872 14.9648 10.1733
##  [4726] 11.2831  9.6645 14.6735 18.4644 15.6297 25.6937 12.2754 16.4977 14.1130
##  [4735] 19.9744 23.4535 21.2736 15.2600 13.1518 20.3387 13.2096 15.5290 27.1561
##  [4744]  9.8884 27.0077 10.3417 18.3654 19.2284 14.5174  9.1710 15.7735 15.3416
##  [4753] 11.1701 16.7115 10.1397 11.5459 16.1488 11.9604 24.5714 11.0760 19.6770
##  [4762] 18.9997 15.9214 12.6896 10.5411 18.1625 16.2585 12.8249  9.3383 15.1514
##  [4771] 19.6846 17.4843 12.1444 13.8996 15.6254 14.2049  8.6269 10.5360 17.8537
##  [4780] 15.2465 19.4730 14.0558 11.0227 27.2368 22.1303 14.1013 19.6879 20.4437
##  [4789] 29.4305 16.8909  9.1759 20.5829 25.2770 16.2257 13.9560 13.9991 10.5743
##  [4798] 20.3323 14.9870 17.3333 15.7556 21.1191 15.4687 17.6801 10.3439 19.3124
##  [4807] 12.7403 19.7242 11.1584 13.4569 19.1238 16.3549 15.8504 20.4003 10.8955
##  [4816]  9.5078 11.3670 18.8715 17.7368 11.0687 17.0329 16.9154 12.0118 22.2333
##  [4825] 10.6853 14.3245 12.7193 18.6006 11.8187 19.6894 18.4723 14.8109 15.8885
##  [4834] 13.5324 15.4607 16.5087 14.8494 16.6187 18.8587 15.9720 13.4677 22.0466
##  [4843] 17.5424 12.9559 23.0132 14.1152  8.6521 13.9908 15.6873 14.9285 23.2943
##  [4852] 15.9954 14.6041 16.6756 11.5339 10.9891 23.0596 14.8873 14.3618 13.8355
##  [4861] 10.2546 17.9232 12.4417 17.0923 19.2260 11.8028 14.8188 12.7923 16.9270
##  [4870] 11.4986 14.2134 10.8019 16.0825 23.5465 20.1871 12.0567 14.4601 18.3004
##  [4879] 16.2815 16.1266 15.0862 16.4700 19.6381  9.6960 11.0179 10.8521 37.3503
##  [4888] 24.0755  8.9508  9.7794 11.9077 13.1951 14.5277 18.3704 13.9343 22.6846
##  [4897]  9.8794 22.4648  8.5839 19.8990 14.4003 20.0809 17.1968 13.5410 21.0665
##  [4906] 14.1302 20.3574 13.2807 10.7181 22.3156  8.8029 12.1230 14.2731 18.6827
##  [4915] 10.4870 13.5716 16.4837 12.9347 15.1539 17.1341 15.2055 18.4957 17.4119
##  [4924] 15.6321 18.6651 13.8753 11.1431 10.0936 13.0511 17.7229 21.2046 12.5957
##  [4933] 16.7172 13.1310 25.3863 13.7234 14.2139 21.1720 12.1090 21.9861 15.8952
##  [4942] 23.8234 14.6549 17.2364 15.4006 14.7328 10.9775 15.7590 18.9585 22.3061
##  [4951] 14.5258 26.0951 18.9104 16.9654 18.1752 14.8649 19.8570 15.5011 14.1735
##  [4960] 13.7537 19.0101 12.9886 20.0793 15.4866 14.9318 13.0791 11.8394 14.0782
##  [4969] 16.8129 19.2672 21.6826 17.1510 17.5227 13.1339 11.9021 19.3580 32.3670
##  [4978] 22.6873 10.2058 20.2126 14.6451 10.2667 20.0494 19.0929  9.0150 13.4463
##  [4987] 10.8925 13.7395 13.9378 11.7120 16.7262 12.4760 17.0600 19.4350 14.4846
##  [4996] 17.6561 19.5891 17.9649 16.7227 13.6224 16.4392 16.2362 20.5856 18.1292
##  [5005] 25.2910 10.7758 11.6127 11.5613 15.6119 11.1456 30.5001 13.6376 18.0734
##  [5014] 10.9105 14.7307 16.2926 11.4794 17.6779 15.5632 14.8382 16.5827 16.3319
##  [5023] 13.9667 22.8583 15.3830 11.7002 15.1123 17.0050 14.6672 10.8026 14.3149
##  [5032] 11.7132 14.3887 14.8724 14.6144 12.1834 14.9529 14.6895 18.4789 14.5839
##  [5041] 14.6134 22.1575 13.8165 14.7237 10.8933 20.2498 13.3919 16.0548 13.0680
##  [5050] 10.1880 11.8930 18.5016 20.1734 19.1756 12.7406 15.8406 13.5870 23.4832
##  [5059] 14.6581 14.4850 26.9169 14.2934  9.3697 13.8997 10.6957 13.8398 17.0999
##  [5068] 30.0265 21.2913 21.9238 15.6656 14.1916 20.8877 17.1829 16.1891 15.9780
##  [5077] 23.5678 15.0960 24.1342 19.5065 10.7052 10.0445 21.7748 12.7973 11.0072
##  [5086] 12.8627 14.0175 18.7472 17.6872  8.8184 13.2661 28.8678  9.2607 13.7731
##  [5095] 15.2237  9.4868 21.3114 17.4794 11.8344 18.2476 17.4067 13.7523 16.0130
##  [5104] 16.1726 14.8342 19.5641 11.9499 11.0246 22.0493 21.0277 13.4661 14.1112
##  [5113] 11.7262 20.2356 18.7460 14.9221 14.5539 18.4481 12.1517 11.9703 15.6092
##  [5122] 14.1797 15.3377 18.7572 16.9173 12.1932 20.2474 16.7188 15.5867 29.9676
##  [5131] 14.6825 21.8113 20.4171 21.7970 14.9332 15.0037 11.4706 17.1671 18.8308
##  [5140] 18.4398 21.1366 14.2767 17.9450 14.4961 19.1385 13.0630 14.2936 14.6141
##  [5149] 14.1551 21.3711 11.1600 17.5593 18.8907 20.2785  8.1484 15.5967 17.1628
##  [5158] 13.8633 15.3806 11.4710 16.7155 19.8926 13.2698 10.2572 17.5865 17.5162
##  [5167] 14.8765 21.6962  9.5352 13.0642 13.4539 10.7711 11.1737 15.7140 10.1173
##  [5176] 15.8671 17.7282 11.0210 14.5843 16.9222 13.2155 18.7303 11.7483 16.8048
##  [5185] 14.1677 11.9442 12.0169 22.3655 20.3773  9.4108 15.1963 19.8202 17.4940
##  [5194] 13.6316 16.8422 25.6822  8.5191 16.4835 17.1544 17.0330 11.7782 17.3634
##  [5203]  8.8001 18.7672 20.0260 12.2388  9.2382 12.7885 11.6715 13.4685 16.6855
##  [5212] 13.8601 14.6875 19.8483 19.2513 11.2250 10.8705 13.9005 12.6503 18.4301
##  [5221] 15.8418 11.6895 14.9962 11.9750 15.4833 19.2376 19.6433 13.7842 19.7621
##  [5230] 15.3934 18.7196 13.1313 14.6254 15.6837 12.8638 10.5731 14.7436 14.5173
##  [5239] 10.9263 24.1601 17.8909 12.9722  6.3504 19.1161  9.3090 19.6258 19.4943
##  [5248] 13.8157 12.0323 17.5866 12.1044 16.0462 11.5103 13.7269 13.5054 12.9307
##  [5257] 21.3004 21.9233 22.8751 16.2176 16.2263 13.4859 14.8252 17.1567 20.9198
##  [5266]  9.3765 14.3770 11.0510 13.2991 14.3665 13.1257 23.3109 21.6508 17.2799
##  [5275] 11.6971 18.8205 12.4078 18.3476 20.4287 14.0394 17.9684 14.2731 15.8401
##  [5284] 20.6626 20.2694 12.1243 25.1094 13.4919 11.8960 13.1701 13.7559 15.5150
##  [5293] 18.5821 15.2714 13.0184 14.7288 20.2988 15.8857 16.5801 17.0562 15.5288
##  [5302] 16.2738 25.7674 11.9677 15.9385 13.3791 18.3370 21.2172 19.3040 12.9128
##  [5311] 17.8907 19.7619 20.6727 12.2753 16.8290  9.4977 13.6940 19.3072 10.4069
##  [5320] 13.6140 18.0648 20.3095 10.0147 11.7175 20.9846 21.3200 13.7619 15.4728
##  [5329] 15.5298 13.6172 12.8405 17.2642 21.7566 18.9754 13.8853 22.9054 19.2052
##  [5338] 12.3399 24.3476 16.8809 10.5420 15.7985 18.0327 20.5371 19.6635 31.6847
##  [5347] 17.7280 13.3991 18.5495 12.7237 25.2350 22.4153 10.9436 18.0222 21.4087
##  [5356] 11.8597 17.1636 15.8012 14.2022 17.5344 18.3307 13.7589 14.4102  7.0067
##  [5365] 22.3493 11.3029 18.9631 17.5852 25.2077 16.4210 13.6529 21.7092 17.2164
##  [5374] 23.9975 14.3909 16.8304 14.7501 13.8431 14.3396 11.8675 17.8355 12.5693
##  [5383] 11.7372 12.3150 16.8209 20.8701 23.3486 15.1918 14.6188 11.4652 12.1440
##  [5392] 10.9085 13.9956 11.9833 23.8903 14.3484 17.8492 14.1295  9.6091 15.1943
##  [5401] 21.2749 14.4907  8.2257 18.4661 19.8976 13.7484 13.2920 24.1605 26.1423
##  [5410] 17.1319 14.9002 17.2373 18.2935 18.5636 14.4580 16.6713 13.6687 11.8116
##  [5419] 17.3909 20.6205 10.0025 19.2222 11.4583 16.0526 15.5834 12.6829 13.6435
##  [5428] 22.4110 26.6472 11.1383 13.0558 18.0532 21.5348 13.0967 16.9035 12.7013
##  [5437] 12.5664  8.8914 10.8075 16.3159 12.6927 16.9721 22.1419 19.0554 14.0330
##  [5446] 16.2208 18.1332 11.4685 11.2828 17.1511 14.9173 13.5321 16.4547 14.0703
##  [5455] 17.4298 18.4258 14.1018 10.9003 15.8204 24.3929 10.0825 10.0761 13.3905
##  [5464] 11.0571 16.1058 11.7165 10.4075 21.3127 20.9473 19.2972 12.1581 22.0946
##  [5473] 15.9845 14.4930 15.3149 12.7318 11.3191 15.9529 15.5116 18.3382 12.8648
##  [5482] 14.6008 10.0624 14.0922 19.3520 13.8605 13.8127 19.2632 16.1885 22.8228
##  [5491] 14.4165 14.8366 21.4950 12.9153 18.9743 10.4596 18.1260 18.3199 11.1499
##  [5500] 22.1162 17.9599 19.1041 13.1727 13.6179 19.6530 10.0335 10.1397 15.7325
##  [5509] 21.7804 11.3625 17.5079 15.7175 19.7927 23.2789 17.9285 17.3009 18.6609
##  [5518] 17.9149 16.4676 12.3035 15.1059 10.1488 19.4332  9.2873 20.3185 11.4693
##  [5527] 11.3357  9.0552 19.2496 18.8373 22.1576 21.8120 15.6685 12.7511 21.2168
##  [5536] 16.0371 13.4633 23.1774 17.2138 13.9478 10.6347 13.7884 10.6739 20.9838
##  [5545] 21.6795 15.8076 25.3812 11.8234 16.6948 18.1772 14.3776 13.2212 17.0750
##  [5554]  9.3667 23.4357 16.5750 18.0263 17.5747 10.6471 19.2301 11.6076 10.7880
##  [5563] 16.9019 21.5919 10.3203 13.0144 10.5663 17.9269 23.0034 15.6405 19.4505
##  [5572] 12.3606 23.0049 18.2327 13.0170 18.9492 18.4696 22.5605 15.3499 12.7340
##  [5581] 13.8134 11.2702 17.0442 22.6920 13.3809 15.8432 23.2595 18.0777 13.4572
##  [5590] 17.8317 15.8178 15.1551 14.5750 14.2129 16.8622 12.9356  7.3862 12.3322
##  [5599]  9.2112 11.5714 23.0879 15.6847 15.7103 13.9645 17.1217 17.9093 21.5957
##  [5608] 30.4104 12.1892 13.4159 10.9183 16.3174 17.2037 17.4931 12.1347 11.5524
##  [5617] 11.3134  9.6288 15.7824 18.3807 16.0331 14.9700  9.8517 14.1347 12.0987
##  [5626] 12.6777 20.3790 13.1962 21.7203 22.8700 17.5070 14.0027 19.4210 17.7938
##  [5635] 17.5926 21.2265 15.7205 16.5501 13.9073 13.8079 22.8900 13.2989 12.9616
##  [5644] 17.5837 17.9013 16.5920 23.6927 16.4152 18.7906 12.7935  9.8614 18.1596
##  [5653] 20.7073 19.2684 15.7501 10.3008 16.8067 26.9465 15.9710 13.0726 23.5720
##  [5662] 18.4592 23.3946 11.2347 21.0378 17.7080 20.4396 20.3475 16.6506 16.2300
##  [5671] 18.8991 19.4526 16.8496 13.0921 20.5824 22.1717 15.1902 26.3450 19.4899
##  [5680] 12.4788 16.7696 15.9404 10.2571 23.4752 23.8255 22.8936 15.2395 14.7974
##  [5689] 13.2443 21.1849 15.1164 18.4894 14.7195 12.7952 23.3261 14.9264 17.4230
##  [5698]  8.4763 13.8362 11.1093 22.7550 12.4161 13.0280 13.5405 11.7538 14.9413
##  [5707] 27.2527 17.0225 11.7877 14.2980 13.8286 16.5831 15.0992 23.5218 19.6704
##  [5716] 19.4384 14.3828 16.0575 12.7627 20.4070 12.9736 11.0831 11.7010 13.1656
##  [5725] 14.5241 17.8683 12.5076 15.0500 12.7915 15.0141 17.6266 18.9272 11.5913
##  [5734] 20.0003 15.4032 11.1597 17.1881 38.1472 21.6775  8.5482 20.0970 11.1873
##  [5743] 19.6435 23.7285 23.4869 13.4949 12.7193 10.3474 10.8771 17.2245 12.6994
##  [5752] 15.4059 23.8830 16.7348 12.2329 12.5678 23.3668 22.2182 15.7742 19.0106
##  [5761] 24.0201 12.8770 12.4291 11.9093 17.0145 17.7740 22.1236 16.3004 20.6445
##  [5770] 14.7416 12.7209 18.4265 18.7985 15.4613 26.6322 19.8708 12.1788 17.1134
##  [5779] 18.5306 19.8096 14.7767 14.7452 19.7127 15.5016 16.2241 20.6838  9.2858
##  [5788] 10.9432 17.4549 27.6585 12.1579  8.9010 13.3756 12.0742 11.1999 16.1752
##  [5797] 12.0859 10.0251 19.9900 13.0188 16.5567 16.6897 14.8923 11.7821 13.2437
##  [5806] 22.2756 15.7202 20.5557  9.1045 21.1278 13.6365 14.3627 17.0276 19.2433
##  [5815] 15.0911 20.9811 15.2138 12.7867 12.5439 14.0059 13.5112 14.7964 12.7911
##  [5824] 12.0476 12.8526 19.2323 15.6321 12.3040  9.9142 14.5255 21.8082 21.0445
##  [5833] 10.3283 18.9856 19.3414 12.9866 25.7531 15.6188 13.7567 18.0294 16.2567
##  [5842] 27.9090 15.6593 16.8353 10.5770 14.8744 27.3556 10.7611 26.0602 28.4338
##  [5851] 14.7220 15.1824 16.6403 16.1149 16.5325 15.8926  8.7908 11.2851 15.2862
##  [5860]  9.9955 15.5064 18.4395 17.8092 16.5267 17.9066 19.5466  7.6242 17.1206
##  [5869] 11.0825 20.7430 16.9886 14.3627 16.2292 14.5906 18.4732 19.6439 10.4990
##  [5878] 12.1116 14.2294  8.8142 14.6261 15.9317 20.9404 19.8837 17.2433 15.1740
##  [5887] 11.6441 11.5739 16.7712 16.7622 13.1678 15.0945 29.9201 16.2504 20.0333
##  [5896]  7.9727 16.0303 15.5316 12.9439 10.4646 25.5895 10.4272 10.9899 10.7731
##  [5905] 12.3014 16.7586 12.3740  9.4132 17.7605 19.8952 19.9980 17.3668 19.3501
##  [5914] 18.0598 18.8519 15.1055 10.1312 16.9804  9.8357  9.9447 12.1134 17.0555
##  [5923] 20.9987 20.1474 16.6510 11.5366 13.4967 14.5667  9.4211 11.4942 12.1926
##  [5932] 14.4622  9.5082 16.6986 14.2504 13.4305 13.0516 13.2814 20.9857 12.2174
##  [5941] 15.0939 15.3646 21.6016 11.7676  7.3166 16.9323 10.6948 16.9623 12.4731
##  [5950] 16.6069 12.0049 18.9789 19.8320 12.2820 18.1785 16.3429 26.2267 15.6215
##  [5959] 16.0214 13.5452 19.2560 13.1207 22.0662 18.1738 22.4356 24.8016 10.4218
##  [5968] 14.5214 11.0474 10.1731 18.6564 19.1066 19.3630 17.8204 22.0731 17.5194
##  [5977] 17.5170 11.9115 10.0630 17.0877 15.1347 20.8319 18.8914 22.7204 26.1849
##  [5986] 17.0448 10.2859 18.9336 14.9898 15.0018 11.5554 14.0899 14.1638 15.1480
##  [5995] 10.4901 13.7053 13.0564 18.3761 16.2970 18.2258 16.7414 20.4877 13.8878
##  [6004] 14.3706 18.3291 17.5163 13.8301 16.3098 16.3055 16.7118 12.5286 10.3533
##  [6013] 20.3270 14.2121 18.0728 12.4373 32.2947 20.1595 17.4195 21.7288 18.2249
##  [6022] 26.3353 18.7352 13.0426 14.7933 14.3094 22.2128 10.2593 15.3216 16.8404
##  [6031] 12.9781 16.2086 10.3951 11.6161 10.3158 10.9739 10.3413 16.3690 15.7339
##  [6040] 13.5978 12.2491 11.5974 13.6260 14.9169 11.0694 17.1023 16.2956 18.9243
##  [6049] 14.0605 13.8084 12.7231 15.2218 23.6837 21.3815 15.9658 10.1757 15.1736
##  [6058] 18.3096 19.9962 22.2715 13.4322 22.9764 21.2349 14.8529 11.6116 14.9489
##  [6067] 19.3910 17.6312 19.4243 17.1607  9.9743  7.8436 23.9768 15.5220 11.5917
##  [6076] 14.2183 15.4278 14.4119 15.9275 16.2501 14.4432 16.0191 15.5196 13.1493
##  [6085] 21.2496 12.9478 18.9568 11.0634 18.3648 19.7827 10.7348 12.3991 14.5333
##  [6094] 12.0435 13.9371 17.1100 12.6158  9.3253  9.5480 19.4970 18.2255 18.6595
##  [6103] 13.8636  8.9679 20.6332  7.3253 15.2622 18.0359 15.0984 12.7575 19.4353
##  [6112] 23.8482 13.7521 14.3410 17.8220 12.8529 19.6351 19.7581 13.9878 12.7071
##  [6121] 25.7282 17.7637 11.3987  9.4026 13.8755 14.8087 16.2551 18.1852 13.7449
##  [6130] 19.3219  8.5671 14.5431 19.5178 19.3182 14.1439 18.4862 16.8652 16.6780
##  [6139] 10.4978 19.3242 17.9177 22.6261 14.6139 17.6627 15.8076 12.5642 11.0607
##  [6148] 22.0039 24.6177 13.0056 13.4356 23.1138 26.1013 26.0322 11.1920 18.0506
##  [6157] 13.4270 21.5788 17.0578 19.7815 13.8009 16.5662 29.2442 20.6955 13.2192
##  [6166] 14.9852 12.4509 19.3477 13.6552 13.9714 19.8420 10.4609 17.4067 13.1835
##  [6175] 13.7704 11.6375  9.4414 13.7807 16.8844 21.3510 10.5679 14.9672 19.9034
##  [6184] 14.1404 17.6417 11.0383 10.5954 14.6385 22.7402 12.9748 20.3800 16.3033
##  [6193] 13.1809 14.1173 13.1938 15.1480 16.7454 15.9643 20.5122 24.8854 13.0858
##  [6202] 14.2880 14.2046 10.0125 14.7443 21.8796 13.5148 17.9869 12.5382 18.2635
##  [6211] 19.5391 18.0196 19.4852 18.1164 20.4174 19.6584 17.0171 18.7550 13.7084
##  [6220] 14.2673 15.2956 13.0779 22.6850 24.3051 13.8110 12.7189 22.1726 19.6910
##  [6229] 13.2601  8.2462 21.6231 14.8367 12.1559 17.9927 16.0735 15.4830 18.4349
##  [6238] 18.4361 11.9647 11.4472 14.9823 11.3877 31.4454 20.0299 15.6934  9.3039
##  [6247] 14.8126 20.8290 17.2944 17.3573 15.9014 13.4608 19.8510 12.7702 19.5954
##  [6256] 15.5675 29.4185 11.9764 17.3034 13.5813 11.8869 19.9019 18.0740 16.4465
##  [6265] 20.2396 15.4825 25.5927 12.9009 13.8136 17.5557 14.4301 13.8907 10.4260
##  [6274] 16.2462 13.9169 10.9599 19.5434 16.4420 15.7181 13.3376 15.3685 14.0450
##  [6283]  8.4440 17.6612 23.2679 29.6362 15.8013 14.5552 13.0714 14.6665 16.5917
##  [6292] 10.9878 17.1479 22.3765  9.5713 10.6515 18.3763 16.9508 10.5104 13.5871
##  [6301] 11.1938 14.8957 12.6468 15.1486 15.1379 16.3761 16.7017 17.2526 11.7581
##  [6310] 11.3500 16.5855 19.9580 13.6064 19.1387 19.2983 11.6463 20.3725 19.7679
##  [6319] 12.7220 15.7788 18.9567 18.0016 15.2442 11.2369 15.6877 16.9934 11.6572
##  [6328] 20.6061 20.8121  8.3518 14.9422 19.2832 14.8913 16.8535 16.7740 15.9999
##  [6337] 17.2495 12.1662 15.6594 21.6501 16.6104 18.7316 12.8092 12.9324 15.9249
##  [6346] 17.1158 13.3205 17.2326 17.6367 14.0302 17.6542 14.3772 14.9996 11.4131
##  [6355] 21.6074 11.0129 13.4946 19.3886 14.4229 21.9586 25.1279 21.2957 13.6715
##  [6364] 17.4399 16.8444 12.1728 13.6915 19.5993 18.9728 14.2088 13.8877 17.1955
##  [6373] 23.6514 13.5325 18.0662 15.5672 20.2347 20.2734 19.0859 19.6390 19.5801
##  [6382] 27.6076 26.6283 23.8137 14.4158 12.4736 21.6731 25.9896 14.1844 17.6265
##  [6391] 10.9848 16.4541 11.3767 17.5342 15.6140 13.4419 21.2358 14.3900 14.6487
##  [6400] 25.4180 14.0910 15.2870 15.4707 15.5253 14.5459 13.3811  9.3541 12.8926
##  [6409] 26.0228 11.8959 20.3333  7.5765 13.9766 14.2871 10.1957 22.1825 15.4266
##  [6418] 11.2004 26.9183 16.7712 17.0415 14.4053 14.8745 15.4829  8.8309 14.9231
##  [6427] 13.7586 18.2215 13.5903 13.0805 10.3702 15.5202  9.5419 24.1477 15.9888
##  [6436] 20.0551 19.0499 12.5241 19.1747 20.0813 18.2332 17.7661 13.3391 18.9682
##  [6445] 17.4404 25.0806 12.8746 16.0283 16.7417 11.0571 18.2096 16.5810 12.1762
##  [6454] 18.9082 16.0852 12.6222 19.7400 13.7511 10.3812 13.0653 17.7091 20.9986
##  [6463] 16.2537 12.5830 12.4128 14.3956 16.8269 13.8519 12.2248 10.6879 12.8710
##  [6472] 14.6989 14.9347 12.5738 12.0232 19.9061 21.8514 15.6230 21.6928 14.4241
##  [6481] 18.8244 15.8295 14.1354 17.2839 17.5624 23.2832 12.9049 15.0922 16.0153
##  [6490] 15.1612 17.7717 18.2230 14.0424 24.5547 14.6535 16.7494 12.8481 15.1897
##  [6499] 10.8885 18.2448 18.4029 17.3944 14.7032 11.2501 16.0013 23.8208  9.3928
##  [6508] 14.3614 25.8984 18.3301 24.1500 20.9055 34.7903 12.7925 16.5676 15.8908
##  [6517] 21.8767 14.6934 14.5109 17.6666 13.0103 18.3393 13.7723 19.1803 17.2519
##  [6526] 15.8092 16.3733 14.1147 14.8650 24.9036 11.8103 13.1481 11.8360 10.4401
##  [6535] 26.6606 11.9692 14.9296 15.0360 14.8903 22.3765 12.7001 12.9139 10.2052
##  [6544] 11.2585 12.9320 17.1604 19.2519 16.9979 12.6367 15.3635 13.6221 17.0525
##  [6553] 15.5645 14.5613 11.9006 13.9106 14.8550 14.0005 18.0266 11.4262 13.8819
##  [6562] 22.0679 17.0518 18.1645 14.6569 13.8429 16.8774 17.2682 19.6172 14.5896
##  [6571] 27.3336 13.6273 12.3007 13.4550 19.6992 17.3645 15.9126 19.6417  9.6337
##  [6580] 12.8433 16.8375 15.5443 22.0358 17.3333 16.5376 16.1242 14.2237  8.5717
##  [6589] 31.3276 12.7694 19.2984 17.9624 10.4899 13.0301 18.5613 10.6928 21.4201
##  [6598] 11.6133 20.6353 17.8400 16.1317 22.5887 15.8139 15.0588 14.2117 16.3369
##  [6607] 13.3783 20.3356  9.9103 14.4812 14.2924 15.7957 16.8912 17.5457 18.1680
##  [6616] 13.0335  9.1322 16.2156 24.3559  9.2750 15.8794 17.2309 15.4851 20.0861
##  [6625] 10.8936  9.6436 11.8945 26.1003 15.3393 10.1568  9.4645 13.9463 10.1468
##  [6634] 12.8743 13.1407 18.6170 18.5806 18.9003 18.2518 17.1106 17.3006 22.6145
##  [6643] 13.5267 13.4475 16.0254 11.6506 13.3439 11.0965 17.6511 13.7673 14.7922
##  [6652] 19.6053 12.3882 10.1157 10.9474 16.8527 12.9456 15.3347 14.3440 15.1504
##  [6661] 19.0745 19.0735 11.8599 26.0776 11.5546 17.3410 17.0022  9.7512  9.4117
##  [6670] 13.1806 13.1291 17.2962 12.2729 12.3419 17.4658 18.2286 14.3241 17.8157
##  [6679] 16.8009 19.2826 15.6297 11.7571 14.1297 15.5628  9.5886 15.9768 16.5115
##  [6688] 18.4188 12.9448 14.9268 13.9178 12.1463 14.7604 12.5447 18.4187 11.2259
##  [6697] 11.4399 16.1887 15.6597 20.3443 14.2819 19.8930 14.4961 15.7463 15.3249
##  [6706] 20.0565 17.9836 20.5635 19.6318 15.8452 11.4246 12.5941 18.4870 17.0758
##  [6715] 17.3535 15.5040  7.9081 13.4674 20.4053 15.5371 13.3299 13.5580  8.1617
##  [6724] 19.1833 16.3374 19.5540 19.4710 17.1461 16.2577 14.4343 17.8820 15.5255
##  [6733] 14.7706 16.4951 12.5080 11.3140 19.1052 27.0417 15.0630 16.6098 16.4728
##  [6742] 26.7093 15.7300 21.0570 24.1413 14.7702  7.6538 19.0789 22.3921 14.8386
##  [6751] 12.4180 14.1937 12.6501 21.8388 11.9659 11.7322 23.2821 18.3631 10.8272
##  [6760] 12.7548 16.2591 12.7657 13.0688 22.7250 11.1173 15.7943  8.7823 13.8594
##  [6769] 11.3162 18.0263 16.1281  9.6634 15.4617 12.3676 14.8856  8.7611 20.4859
##  [6778] 14.3547 14.3967 15.1970  9.8713 23.2572 23.6734 18.5197 20.0219 12.9319
##  [6787] 16.9943 14.9916 18.9760 27.2925 14.1721 23.2447 13.5394 14.0420 23.2077
##  [6796] 14.5248 11.7335 13.1957 19.8747 16.3038 15.0588 17.2145 25.6714 21.9638
##  [6805] 13.1848 12.3071 16.6285 18.3510 11.7928 13.3564 17.7807 10.9279 18.2215
##  [6814] 19.6179 15.3957 12.2951 23.2377 14.3392 14.8553 20.5428 12.7717  9.0273
##  [6823] 20.9523 16.9373 16.2362 20.4721 12.8422 18.4099 22.9533 11.0790 16.1462
##  [6832] 15.7208 28.4706 11.7679 15.2066 15.7705 10.9725 16.7377 16.8781 20.6058
##  [6841] 10.8955 13.7381 16.9633  9.8967 17.9867 12.8299 21.2375 12.3595 10.7284
##  [6850]  8.6318  9.1792 19.3116 15.2018 17.0734 15.1953 12.9534 13.4426 13.3387
##  [6859] 13.7263 10.5530 16.3340 18.5739 22.3545 12.9159 16.7185 20.1585 12.9857
##  [6868] 17.4573 16.1772 14.7509 11.3137 16.2958 20.2192 15.2716 20.7490 16.5497
##  [6877] 15.9604 16.5728 12.0880 13.3012 18.7451 17.1598 10.8417 24.0256 12.1130
##  [6886]  9.3512  8.2673 16.3775 13.1879  9.8883 17.0762 17.4744  9.7795 18.6088
##  [6895] 13.2187 12.7194 23.3012 10.3349 11.0021 18.6064 17.9540 17.7342 11.5443
##  [6904] 13.7011 14.7934 10.7072 14.2740 15.6863 19.4439  9.8212 18.1099 16.7642
##  [6913] 27.0468 17.4193 21.5040 14.8647 12.8519 16.8304 14.6678 15.6090 23.0718
##  [6922] 13.1810 14.4027 13.8440 20.7504 16.7011 14.2073 12.9104 20.9265 14.7225
##  [6931] 14.2820 16.9640 16.2408 13.5227 12.2432 10.8317 14.6284 13.9834 18.2873
##  [6940] 16.8465 14.7109 11.1830 16.0472 14.3981 17.4564 16.7270 10.9657 16.6784
##  [6949] 12.6269 14.5737 15.1672 11.4233 14.5491 13.1017 15.7888 11.5252 13.0443
##  [6958] 12.7076  7.1435 22.2197 10.6931 16.0020 18.0579 10.6292 22.1511 10.8885
##  [6967] 17.9097 17.9984 14.8718 18.6987 13.7867 21.3798 13.5485 13.5253 11.2380
##  [6976] 20.9223 23.4612 13.7258 10.3520 13.3908 15.6328 16.2677 15.8787 15.6466
##  [6985] 15.1518 20.8645 15.0043 21.5910 16.2224 12.3917 16.5390 26.8558 13.0649
##  [6994] 15.6886 21.0899 19.6614 14.2527 14.7629 14.1246 13.3450 13.7438 17.8471
##  [7003] 14.8499 14.6722 18.2047 12.6391 13.4506 12.1985 15.5408 18.9314 22.9367
##  [7012] 24.4948 20.0888 16.0421 13.2767 18.8432 13.8733 17.2742 21.5046 18.4366
##  [7021] 17.3095 15.9571 10.3970 19.4405 12.9473 16.4023 13.5507 15.2902 21.5868
##  [7030] 14.0890 24.6269  8.9740 15.1017 14.0512 12.7381 10.1359 21.4270 15.0528
##  [7039] 28.8386 16.1751 17.2133 21.9073  9.7453 20.7540 15.0485  8.8538 16.7777
##  [7048] 16.4615 15.0330 18.2981 16.3836 15.4668 14.7260 13.4638 22.5077 14.4576
##  [7057] 17.0412 14.2496 17.0283 19.0434 24.4542 13.4812 21.5084 17.5066 18.8734
##  [7066] 17.4032 15.1122 12.7690 13.6191 12.6443 19.3507 12.1157 18.7863 18.5178
##  [7075] 15.4727 13.6636 13.5871 12.4079 16.3471 14.7584 13.2161 16.0431 11.2278
##  [7084] 11.9856 15.3597 14.8707 11.6210 15.5987 24.3764 13.7206  9.3617 12.1100
##  [7093] 17.2570 17.9034 18.8288 11.7337 15.8817 12.3785 16.3415 16.6549 17.1620
##  [7102] 21.5540 14.6340 16.6605 14.0502 16.9163 17.8604 15.1093 11.4840 15.0935
##  [7111] 14.6266 12.5445 14.1107 13.3691 11.5423 14.8537 17.4526 29.3931 15.1287
##  [7120] 20.1352 14.8511 14.5431 14.7432 10.3673 19.4632 14.4925 20.9754 21.2177
##  [7129] 11.7353 17.7755 24.2734 16.6097 17.2528 13.9387 15.9653 16.9408 19.0780
##  [7138] 13.0832 15.4618 22.8774 19.2634 12.6803 23.6195 11.1717 11.2658 17.0259
##  [7147] 14.2474 14.9230 16.1834 15.9223 10.8723 12.9277 15.9921 12.7433 15.6102
##  [7156] 24.9478 15.9986 15.7549 12.3103 18.1812 17.9544 12.6361 11.8709 18.1343
##  [7165] 13.5720 16.3001 12.5191 12.2583 14.6309 17.1354 12.0727 19.4089 14.0669
##  [7174] 19.7621 22.6936 18.4319 20.5582 16.8367 14.7030 10.2127 17.0452 19.8946
##  [7183] 16.0426 16.6309  9.5612 13.2064 12.3927 11.2943 16.0346 13.0765 17.9227
##  [7192] 16.9977 12.0085 11.0708 17.6481 11.6521 13.5123 14.9454 21.0911 18.3844
##  [7201] 13.9579 12.2489 12.6722 22.3284 13.1801 12.6649 19.2476 19.7418 12.2399
##  [7210] 20.7034  9.4811 14.0711 18.0409 13.5302 14.2686 15.5350 16.2594 15.2658
##  [7219] 11.4242 11.0671 16.2061 16.9781 12.3312 10.4484 17.3417 12.7628 16.4625
##  [7228] 13.0948 11.2856 14.2489 11.3612 19.7095 12.0309 16.4991 20.1547 17.1162
##  [7237] 13.1909 22.9127 12.2728 23.3271 16.8104 16.4171 12.1696 17.6340 31.5209
##  [7246] 22.5864 18.8806 21.4009 21.4449 14.3931 10.8076 13.6657 19.6957 13.5624
##  [7255]  9.4654 18.5311 20.6501 14.8851 20.2738 13.9302 20.6217 13.8734 11.0923
##  [7264] 29.6388 15.5661 17.0147 16.8811 24.3746 19.5387 13.2349  9.6035  7.7753
##  [7273] 13.0583 22.5997 13.4662 13.2574 17.5119 14.6289 12.3571 15.6427 12.5341
##  [7282] 17.1430 18.4233  9.0810 16.8698 17.6207 24.9528 21.3917  9.0482 13.2494
##  [7291] 17.4766 10.8053 14.8813 16.8271 12.4446 20.5746 13.4356 21.4089 14.1256
##  [7300] 17.4646 13.4836 17.7781 11.8851 10.1084 19.9808  7.9414 12.3132 13.7852
##  [7309] 15.8349 13.4548 17.6363 13.1807 15.2355 25.6911 12.4718 22.4620 19.8209
##  [7318] 12.7168 13.6807 15.8756 16.3683 25.3807 17.7973 18.9469 17.6375 16.2497
##  [7327] 14.0485 11.1781 19.8104 22.2304 14.0722 15.4620 19.4362 12.6067 18.7871
##  [7336] 14.6611 13.2111 16.4828 21.1386 16.9358 18.8619 16.5825 15.9831 12.6075
##  [7345] 20.6010  7.4351 10.9353 20.4019 14.3613 13.4429 19.7721 18.0593  8.3249
##  [7354] 15.6279 19.9133 21.6718 13.1296 15.2770 12.1818 15.1198 16.8766 19.4499
##  [7363] 18.7691 13.4230 14.4179 27.9072 17.2488 21.8253  8.5740 13.8828 17.7261
##  [7372] 15.8752 11.3344 15.0783 13.4770 13.4361 13.7642 15.9763 19.0998 17.6700
##  [7381] 14.2971 11.5698 12.6839 17.0313 19.3309 19.9964 12.4680 13.8356 16.1284
##  [7390] 15.8322 20.6873 20.2912 14.2282 24.3857 27.7593 23.5445 11.5026 18.4594
##  [7399] 15.1906 17.6132 18.4955 19.1103 14.9871 14.5073 22.4571 27.3098  8.1217
##  [7408] 10.2411 16.4104 14.4183 18.3862 10.3707 26.3637 16.3374 14.0034 17.9015
##  [7417] 16.0855 13.5996 14.5622 13.2029 11.3649 18.4770 12.6835 19.3025 22.2531
##  [7426] 11.9445 16.0270 15.4766 19.0879 17.1788 15.0173 15.9267 23.8774 13.5819
##  [7435] 13.5514 21.3484 13.3240 13.7951 19.6476 17.6855 11.5573 18.0174 14.5170
##  [7444] 17.8371 16.7090 15.9838 11.0671 16.6703 16.3422  8.1715 22.1600 17.0541
##  [7453] 15.9327 15.5641 21.1922 15.3247 26.9351 15.7162 13.1951 14.3628  9.0340
##  [7462] 14.5447 12.6312 12.2078 20.2860 16.4450 12.2723 15.3691 19.4879 15.8184
##  [7471] 14.0836  9.8028 21.9091 15.0031 12.9181  8.8730 15.9572 14.2169 16.5874
##  [7480] 11.6169 23.3800 16.4005  8.9036 16.9372 25.6285 12.5612 19.1403 14.1458
##  [7489] 16.9782 11.0196 19.8913 13.1696 15.1189 12.3237 20.2624 13.0559 16.2015
##  [7498] 13.5503 15.4258 19.1348 30.0227 11.2691 12.3782 11.6454 16.4073 19.7483
##  [7507] 17.9088 14.6851 27.5856 18.7693 12.7668 12.4434 20.7274 11.9444 16.9016
##  [7516] 14.4466 10.9317 15.5970 12.7374 13.2347 16.6236 15.6237 14.4931 13.8931
##  [7525] 28.7798 17.9363 15.5358 14.4219 12.4600 15.2721 20.5956 12.1047 14.4301
##  [7534] 18.6798 23.4757 11.8680 19.4707 12.3237 18.4843 13.3356 22.3332 22.8683
##  [7543]  7.3212 22.7748 17.8663 16.0368 14.9634 16.1984 16.2234 14.1944 10.6807
##  [7552] 18.1398 13.7553  9.6867 11.0668 12.2175 22.5178 10.6842 15.0645  8.8586
##  [7561] 17.8824 15.0338 16.9737 12.0293 16.6356 13.1878 19.6872 19.1513 13.4501
##  [7570] 19.7094 16.0017 16.5404 14.4981 12.9471 22.1774 18.3236 17.4023 12.4383
##  [7579] 19.9915 15.5263 18.8041 18.8008 21.9262 17.7201 13.5455 17.8415  8.8201
##  [7588] 16.1386 14.4101 14.4250 13.6288 25.2665 22.1938 13.0954 20.2940 11.8100
##  [7597] 10.4590 11.6259 12.1680 15.5251 10.0694 16.7245 23.7699 16.8468 19.2006
##  [7606] 21.1869 17.0892 29.4984 17.7874 13.9690 17.6830 16.4593 20.7573 18.5107
##  [7615] 18.8094 12.3433 13.9600 26.2777 14.3286 16.5841 12.2504 20.8597 21.2292
##  [7624] 17.0586 21.0431 14.1142 23.1010 19.3516 16.5600 12.4096 14.3961 22.2031
##  [7633] 19.7339 10.2500 10.3235 20.3428 13.4350 12.3484 18.9489 11.6435 11.1772
##  [7642] 15.5597 13.5218 15.1019 16.8476 21.8495 23.6795 19.5293 13.1422 19.1895
##  [7651] 11.1623 22.2871 12.0004 22.1178 18.5166 11.3856 19.0490 18.0973 14.4168
##  [7660] 14.0775 14.6148 17.4688 13.7719 11.3872 13.7262 16.3959 16.5557 14.4975
##  [7669] 17.5884 13.1198 11.3610 13.3504 19.3197 15.4712 14.9099 14.9328 18.0688
##  [7678] 14.4921 13.3938 20.2144 15.9419 12.3850 13.4392 12.1126 16.0986 19.0761
##  [7687] 15.8776 17.8005 18.8838 11.4417 14.2778 18.2907 13.7744 23.7405 12.8698
##  [7696] 23.4116 17.6046 15.0214 11.1205 11.7428 12.4976 16.5650 22.7399 13.8240
##  [7705] 13.9146 19.7827 11.1052 26.4413 23.3771 19.5887 14.5567 15.9110 17.7343
##  [7714] 15.2663 27.2006  9.0846 14.1335 16.8019 16.5957 15.8507 19.6264 19.6759
##  [7723] 18.8966 16.5739 17.2820 23.4109 15.3578 14.0570 25.3531 25.6396 20.4218
##  [7732] 15.2077 15.5811 20.8157 17.1999 13.0508 16.5899  9.8469 16.0670 15.2033
##  [7741] 17.2797 14.1695  9.5402 15.3005 15.1575 20.4019 14.1902 15.7282  9.1140
##  [7750] 13.6790 17.3343 20.2717  8.2334 14.4914 24.3214 13.2284 12.2768 12.1482
##  [7759] 12.6118 17.3464 16.1398 21.0177 22.2128 12.7602 12.7017 10.7177 25.7813
##  [7768] 19.1749 13.0113 16.2759 15.8883 19.6242 18.1617 24.1280 20.6918 15.5983
##  [7777] 13.1733 12.7718 24.8885 14.0784 13.3613 17.0575 13.7245 13.2605 12.2806
##  [7786] 17.2607 11.5544 20.6346 17.7948 12.1428 15.6986 12.9593 16.3415 13.9989
##  [7795] 35.3032 12.6740  9.7898 15.9368  9.3937 18.1583 14.1400 12.9275 11.9389
##  [7804] 14.8362 17.0472 14.1503 12.0024 16.6777 13.8213 18.3650 12.6318 22.4226
##  [7813] 13.5363 21.6362  8.1345  9.5438 10.0049 18.4290 13.6773 17.7292 21.3866
##  [7822] 16.2709 12.2174 14.8906 11.1226 16.1783 16.2801 20.8314 18.5926 14.8355
##  [7831] 13.8581 21.0768 16.4697 15.2765 18.1789 15.4078 12.1475 23.7776 19.7241
##  [7840] 13.1484 18.4130 10.3371 14.9030 14.4240 12.7031 16.2370 17.5165 17.4356
##  [7849] 15.1932 17.3887 11.2195 16.3668 25.3428 12.7515 15.2593 17.2597 17.1722
##  [7858]  8.1914 16.9914 18.9690 16.4335 20.1973 18.5854 10.6260 13.8587 14.2290
##  [7867] 14.3839 13.3298 15.5184 17.3042 12.5535 23.4523 17.5833 23.2738 22.7776
##  [7876] 16.9421 19.4426 13.7079  8.4009 13.1402 16.5724 26.3099 13.6680 21.6017
##  [7885] 11.1442 15.5289 15.2255 12.9465  8.9413 11.2172 20.1401 12.9879 12.1401
##  [7894] 13.4052 19.4348 14.3548 12.1128 22.7373 17.1534 12.5020 14.8917 16.9263
##  [7903] 11.8243 18.7627 12.5944 18.2659 10.8562 12.4176 11.6230 18.3342 19.2216
##  [7912] 26.4861 12.9027 20.1702 12.1673 16.6547 12.4768 13.4407 17.7254 11.2369
##  [7921] 12.9668 17.3799 11.5423 22.2093 20.5641 15.5815 16.3473 17.8940 15.4857
##  [7930] 17.9984 19.8671 14.8339 13.0838 19.9791 14.5727 17.1389 21.8487 16.0829
##  [7939]  9.9567 16.0298 18.4318 14.3051 15.1622 18.1742 13.0856 16.8697 22.1446
##  [7948] 10.6852  9.6370 23.1788 14.0445 11.7312 15.8189 10.3043 12.3646 13.7169
##  [7957] 14.3845 18.5608 26.1761 14.1310 11.5523 21.0284 11.1811 11.4158 18.0039
##  [7966] 11.5922 12.8535 14.7871 15.9966 10.6206 13.6478 18.1511 24.3354 11.3269
##  [7975] 16.8711 18.1677 16.4237 22.6540 13.5515 15.1027 13.5910 18.1373 13.8367
##  [7984] 14.9397 16.5693 13.9655 17.2249 19.6139 21.2474 17.6385 16.0428 14.3433
##  [7993] 16.9473 17.2549 13.0564  8.0513 14.6050 19.2936 12.8059 11.7239 14.7100
##  [8002] 16.1337 17.1011 24.3844 22.4561 14.5506 20.2098 17.6309 10.0349 24.6470
##  [8011] 10.4156 15.6592 21.2930 14.5967 18.9305 13.2098 25.0403 15.3383 13.7823
##  [8020] 19.1012 14.9245 20.0020 13.3299 11.9971 17.6493 12.5660 11.8961 15.7412
##  [8029] 11.6321 13.7432 21.4468 23.2162 13.5991 21.7037 25.8412 17.5168 14.0190
##  [8038] 18.6939 11.5615 15.6997 12.5210 17.3423 11.8740 15.5053 19.0849 10.8406
##  [8047] 10.3681 17.8139 14.7544 12.7904 18.7636 16.7482 14.6565 17.7762 18.1025
##  [8056] 10.7810 12.1279 13.7984 10.1574 15.3035 14.1521 17.8196 17.5354 18.3868
##  [8065] 18.3282 13.5962 16.1120 12.6050 13.0394 20.1671 17.9385 16.0210 20.0931
##  [8074] 21.8143 17.7796 18.3965 20.3531 12.2456 17.6369 17.7819 11.1516 20.3597
##  [8083] 21.3356 16.7739 12.2169 14.4006 14.5859 12.9638 13.3744 10.8717 10.9961
##  [8092] 12.1189 13.9816 21.1266 18.3707 17.5272 12.9979 14.5191 15.5430 13.3192
##  [8101] 19.5756 15.9533 12.7254 21.6192 13.5211 17.4907 10.6765 14.6944 14.7557
##  [8110]  8.2272 13.2132 23.1919  8.0482 11.6027 15.5296 12.2913 20.4945 18.6058
##  [8119] 13.6360 13.0182 15.7574 19.3335 14.6719 22.8618 11.5799 19.4981 25.0139
##  [8128] 10.4984 17.3164 16.4156 13.7845 15.4918 23.9539 22.4473 17.3514 13.1250
##  [8137] 13.3819 13.3078 13.4376 16.3852  9.8392 12.5239 16.5713 11.8018 11.8131
##  [8146] 15.7686 17.6354 12.6251 14.6085 15.4528  7.7112 20.4719 11.7688 14.9010
##  [8155] 13.8445 21.6868 17.2784 21.5458 17.6094  9.3721 14.4411 21.0540 20.5509
##  [8164] 16.3897 11.4013 15.4929 16.9354 17.7140 14.5315 11.4261 13.2494 14.5015
##  [8173] 15.9152 21.0336 13.3154 15.4419 15.5558 17.9962 12.7132 16.9673 20.1489
##  [8182] 23.3615 16.5852 18.8204 14.1707 18.6643 14.0778 11.7471 12.4182 15.1529
##  [8191] 14.3003 10.7174 11.7855 14.9989 13.8993 16.0445 13.9219 10.5999 25.0909
##  [8200] 15.7287 18.5768 15.3824 22.5319 11.0955 21.4906 23.8544 25.3587 18.0048
##  [8209] 26.7760 14.5204 12.9216 19.0819 19.1695 15.5819  8.3642 18.6334 13.9471
##  [8218] 16.2103 14.0944 10.7618 23.9510 20.1817 15.2721 14.6569 20.8846 13.1284
##  [8227] 23.6661 15.0951 26.1143 12.0575 15.9824 19.4335 23.4124 11.8692 14.7473
##  [8236] 14.5682 23.8831 12.6356 11.7719 13.6622 19.3827 21.6550 12.8894 11.8783
##  [8245] 19.3857 16.3701 27.6049 20.5074 13.3275 24.0365 13.2414 19.0388 16.6031
##  [8254] 16.2968 16.2388 22.8246 19.6575 19.6917 17.1801 26.7149 15.1076 12.2074
##  [8263]  8.9754 19.5939 24.4081 11.6999 15.4122 18.1274 26.4600 11.1982 16.7924
##  [8272] 15.6340 10.9348 10.6033 11.8068 10.6031 19.1923 23.9262 16.6887 15.2080
##  [8281] 12.4512 16.0834 16.2483 16.0196 14.1227 13.4045 12.2080 17.6459 12.0396
##  [8290] 14.6667 22.1690 16.7737 12.8552 12.9934 22.7492 13.4164 14.5716 14.2713
##  [8299] 13.6873 13.3125 17.2248 14.6645 12.4916 13.5004 16.6587 14.7985 16.3023
##  [8308] 11.7266 14.4020 19.3886 11.9586 23.3046 18.2516 10.5327 15.1570 18.6828
##  [8317] 15.6030 27.6272 18.4892  9.6204 12.7790 22.4930 16.9629 13.4772 12.9555
##  [8326] 14.5831 13.7078 17.1728 16.2804 10.2920 10.7789 15.4722 15.3848 11.0225
##  [8335] 14.0877 12.0508 11.3806 22.1729 15.5256 14.9287 15.1288 20.7847 15.5648
##  [8344] 12.9171 11.7575 11.9424 13.4767 16.8222 21.5867  9.1402 10.2112 13.7995
##  [8353] 14.6537 12.2702 11.0471 16.1875 20.1327 18.3017 14.3347 17.1377 17.7080
##  [8362] 22.4249 19.8997 13.4444 19.4657  8.5724 14.3928 21.7376 22.6640 15.1341
##  [8371] 13.1285 20.2686 14.9831 19.7028 21.0510 28.7762 11.2999 28.6226  9.1181
##  [8380] 17.8068 14.0976 12.7946 17.6761 14.2003 18.0404 19.3918 11.4608 11.8924
##  [8389]  7.8983 12.5099 27.1728 17.1459 20.6587 14.2368 10.0931 18.8524 21.8853
##  [8398] 14.4921 21.0062 13.4852 13.0686 17.6308 13.6558 15.2510 12.7274 21.7699
##  [8407] 14.8885 13.9151 17.1680 11.9157 10.0295 15.6232 14.1389 24.6590 18.7165
##  [8416] 19.3549 14.4080 18.2957 19.2397 20.4528 18.4280 18.4037 11.3703 12.4066
##  [8425] 16.2053 13.4107 22.4783 28.3443 13.0942 15.4393 13.1644 10.9894 16.8522
##  [8434] 11.7396  8.9083 14.8867 12.8298 18.9647 17.9318 11.6479 13.7583 17.5412
##  [8443] 22.9010 12.1837 11.0621 16.0249 22.4411 13.2424 15.3709  8.5715 17.0312
##  [8452] 19.0205 15.7754 19.1788 18.8423 11.8770 16.4736 22.9776 11.2061 19.9984
##  [8461] 21.0212 13.1574  9.8286 14.6107 16.8388 16.8769 13.0424 10.8911 13.3606
##  [8470] 17.0467 21.1191 15.0519 12.5121 17.1169 18.1525 12.5126 17.3312 25.1477
##  [8479] 19.0785 14.4610 17.8810 13.9741 21.5870  9.4033 10.5162 17.9835 22.6935
##  [8488] 11.5748 15.0959 19.8124 10.5730 15.1546 10.0650 15.4231 10.8177 15.7466
##  [8497] 19.8614 11.9233 16.5850 19.6097 24.3635 14.8078 12.6013 14.6278 12.4980
##  [8506] 13.2763 22.9956  9.3498 11.2837 12.0143 15.1080 15.4163 12.9409 11.4718
##  [8515] 15.7050 18.5110 18.5430 10.8604 11.6879 14.2639 13.3272 12.4186 12.0554
##  [8524] 26.8793 11.6115 20.1848 15.1149 24.0978 14.6552 21.7724 14.9930 16.6482
##  [8533] 15.9892 20.4366 16.3498 14.8891 16.7959 20.2482 23.3930 18.8920 17.3711
##  [8542] 16.0531 24.5245 13.4995 29.2096 10.2420 14.4738 25.1291 13.3723 11.0410
##  [8551] 10.3761 14.1303 12.5922 13.7921 15.5239 14.8862 13.2993 12.1129 14.9040
##  [8560] 12.5657 13.7784 15.1538 14.5040 18.3444 18.5064 20.4121 17.1615 26.6927
##  [8569] 17.8649 20.3236 24.4606 13.2468 11.8644 22.9464 15.0540 16.9197 12.4507
##  [8578] 14.8189 16.8495 16.6543 25.8767 15.8015 17.7186 19.2239 12.7376 15.7111
##  [8587] 11.4388 18.9550  8.6698 21.9941 20.7894  9.6464 13.0897 15.8466 21.2957
##  [8596]  9.5938 16.2379 11.5908 12.1855 15.8572 15.8588 14.8933 17.6649 14.8005
##  [8605] 11.6544 22.1011 13.6496 21.2291 16.2314  9.4920 14.0915 15.4625 14.3670
##  [8614] 25.7931 16.6263 11.2231 13.8030 20.8531 18.2026 12.5118 22.1933 18.5870
##  [8623] 14.2826 24.3117 26.4837 26.1041 18.7067 11.3826 15.2741 16.5092 21.1772
##  [8632] 16.4054 11.7893 15.5646 18.7949 18.6151 17.9018 16.2876 16.6927 22.1468
##  [8641] 11.2940 20.6697 18.3575 14.3238 16.7819 11.7682 28.2171 15.3075 20.4430
##  [8650] 17.6280 15.5380 17.6328 18.0213 16.3180 15.5279 16.6795 17.4607 12.2438
##  [8659] 20.8212 15.2472 10.2216 13.6602 16.2843 12.0886 17.7053 16.4691 20.1546
##  [8668] 13.9809 16.0794 16.9465 15.7134 12.6687 26.9911 19.2831 15.1571 12.4373
##  [8677] 14.9813 11.8255 10.9240 10.5968 19.6651 27.6093 18.2760 12.8615 17.5129
##  [8686] 10.8020 16.9040 13.8222 11.2974 18.5008 11.2220 14.4755 11.9995 10.6141
##  [8695] 12.7122 13.8592 16.9470 13.3756 16.6000 14.4450  8.9148 17.1476 18.9760
##  [8704] 20.4281 15.7650 13.2016 15.1369 18.8727 16.8157 15.4433 13.5175 17.2717
##  [8713] 18.3158 15.2622 14.5542 18.3226 16.6403 10.2154 16.0266  8.4429 23.7772
##  [8722] 16.5378 22.6539 15.8566 16.2761 15.9640 14.9324 17.2769 17.1522 17.1223
##  [8731] 21.3320 11.6624 10.3545 27.1013 17.5693 10.9827 14.7527 15.3179 16.8944
##  [8740] 18.1367  7.8967 15.3159  9.7549 18.0356 11.5008 15.8888 29.1372 22.7486
##  [8749] 15.3874 15.3133 20.7970  8.0753 11.7977 14.6639 25.0689 11.7562 15.9142
##  [8758] 16.1087 16.2750 22.4565 11.9555 15.5142 14.1190 15.0815  9.0427 17.6079
##  [8767] 15.2455 13.2780 13.1642 12.9186 17.0189 12.8227 19.7572 14.5368 16.4154
##  [8776] 18.6146 15.8708 12.8582 12.5026 16.8885 18.7949 17.7370 17.0636 16.9108
##  [8785] 16.9216 12.4167 20.1470 12.8447 19.6127 22.2134 14.4310 24.0620  9.1865
##  [8794] 16.4125  9.9176 15.5497 10.4089 16.4580 18.5054 21.8697 12.9939 14.5990
##  [8803] 18.6640 22.3466 20.6534 14.1673 22.2988 16.9189 11.8052 11.8694 10.5716
##  [8812] 18.2796 20.4551 11.0969 17.1363 12.2310 20.6856 14.7245 15.6606 10.4892
##  [8821] 17.4609 17.1467 15.7170 16.3810 13.6620  9.9294 18.4499 12.3129 13.6680
##  [8830] 10.7797 15.5870 14.5012 17.4635 23.7368 15.4449 21.5238 11.3631 22.9942
##  [8839] 10.4745 19.2221 12.0555 13.8575 12.0571 19.2872 11.7021 26.7595 16.1281
##  [8848] 15.5121 16.8512 10.6377 14.8519 15.5649 11.9423  8.8005 19.7838 20.1583
##  [8857] 14.8300 18.9379 23.3372 15.4763 11.2352 14.9388 19.8356 10.7245 18.4179
##  [8866] 26.7072  9.2700 20.5259 14.8412 18.4537 16.4272 18.5652 13.7886 15.2099
##  [8875] 16.0955 16.8754 17.5264 10.7817 15.1104 12.4175 18.6453 14.1976  9.6405
##  [8884]  8.7850 17.6460 15.6440 17.8632 20.3051 19.5272 13.3933 13.4254 27.9091
##  [8893] 15.7104 20.9769 19.6253  7.3634  9.7408 11.0178 10.7734 17.6319 14.9593
##  [8902] 11.5238 10.7477  9.6724 12.4483 17.2022 20.0409 15.7682 14.4609 19.5610
##  [8911] 14.4454 14.1515 15.7981 17.5533 19.6604 22.4557 14.9914 20.1713  8.4152
##  [8920] 24.5693 12.6307 14.3811 22.5650 27.6731 15.6073 11.9090  9.8405 18.2736
##  [8929] 13.5336 12.7871 14.4123 25.7429 13.2005 10.9413 20.4326 22.8272 10.1539
##  [8938]  9.7505 16.9224 17.3879 19.5570  9.6482 18.2839 11.3439 18.6145 13.7419
##  [8947] 13.5774  9.0869 20.2459 20.9866 12.7483 11.3579 10.9316 13.4464 19.5500
##  [8956] 20.5147 16.4010 11.9438 10.5152 24.6667 16.8282 10.0506 13.5220 10.5376
##  [8965] 12.9469 18.3206 16.2102 10.9516 28.3560 15.0301 12.2165  9.7725 10.2421
##  [8974] 15.5874 12.3272 13.0900 21.4220 15.9235 13.9665  8.1720 20.3280 11.1075
##  [8983] 15.0757 10.3312 21.6688  9.7374 12.3698 11.8634 11.6102 19.4534 11.4099
##  [8992] 14.6034 16.0090 13.8617 18.4465 21.1124 13.2248 18.5895 14.4482 18.9608
##  [9001] 18.0571 20.9541 11.3126 16.8539 19.2888 20.4705 16.9406 16.2411 11.8024
##  [9010] 14.9674 25.2709 14.3278 24.1221 16.0363 16.6556 15.7351 12.3273 25.9003
##  [9019] 13.9840 15.5203 19.3927 16.1621 12.1026 22.1524 11.5301 18.5654 14.8873
##  [9028] 15.9231 15.1508 13.3395 15.2760 14.8118 13.3147 21.8851 13.5209 16.0713
##  [9037] 12.6814 11.9498 13.1927 14.3173 11.9359 14.3328 13.7910 20.7521 18.5034
##  [9046] 13.5366 12.5760 12.8702 19.9150 16.8571  7.4084 12.2879 15.3830 22.3030
##  [9055] 12.4133 18.0269 15.8457 23.2259 21.7708 12.6415 20.7207 22.1894 10.5621
##  [9064] 16.8065 11.9850 19.6064  9.9436 12.7523 25.4446 27.1072 14.9281 23.5943
##  [9073] 14.6953 15.5711 16.1051 19.4265 20.0748 10.9196 15.4601 16.0331 14.6737
##  [9082] 23.5103  9.5710 11.5884 12.8535 28.6785 14.1777 13.7719 11.8228 12.9938
##  [9091] 18.9895 19.6529 12.9097 18.4988 25.1257 14.3313 21.3466 20.0419 18.2743
##  [9100] 16.6734 30.9933 14.8982 18.0167 16.7254 17.6682 26.4518 14.9054 15.5139
##  [9109] 18.0287 20.3429 18.0489 13.1422 12.1638 13.3779 18.6271 16.8764 12.5866
##  [9118]  9.4106 14.5304 16.7387 15.2302 12.0037 15.2322 18.5787 20.4123 25.6516
##  [9127] 15.7600 14.7657 12.6936 10.3567 10.9678 18.4177 16.1137 16.4502 23.9237
##  [9136] 18.0678 26.1487 15.4222 14.1184 16.3158 28.5111 16.1465 15.2570 12.4634
##  [9145] 17.2744 12.6596 15.1390 14.0907 17.9883 20.1639 14.7376 17.1345 20.2474
##  [9154] 22.8279 12.3420 14.1203 17.9154 11.9944 11.1869 12.0811 16.9352 17.3101
##  [9163] 17.9643 11.8061 14.4772  8.0194 15.6687 21.1902 14.4058 13.6897 16.9761
##  [9172] 15.2671 15.2333 20.5814 18.2091 16.2981 20.0044 12.1546 17.7765 19.8022
##  [9181] 19.1177  8.6835 10.9098 14.6073 16.9916 12.7699 14.3614 17.3951 14.9083
##  [9190] 18.2892 23.6294 19.9917 16.2406 16.7077 16.4987 11.8276 11.8451 12.1244
##  [9199] 28.6361 13.3618 15.5460 19.6601 22.4306 11.2790 17.4878 17.3092 16.9003
##  [9208] 15.3099 20.8214 14.1659 12.5544 18.1990 14.6793 14.9829 14.6406 32.9791
##  [9217] 18.5993 15.3064 16.6553 16.3512 13.3862 12.2120  9.8110 22.2560 14.7395
##  [9226] 23.1089 16.1911 18.9895 14.2109 11.3173 14.5987 11.7663 17.4243 17.2985
##  [9235] 12.1455 12.0791 14.1393 17.3088 13.4135 12.6275 11.6785 20.8224 15.7518
##  [9244]  9.9980 14.2656 17.7687 10.1418 16.2236 21.4985 18.7526 16.9077 11.0502
##  [9253] 12.4891 21.8439 12.1641 23.7581 27.1918 17.0826 22.7042 18.4983 11.4715
##  [9262] 11.5386  9.6292 13.7849 12.2196 17.9293 15.1735 18.3213 16.6445 20.8046
##  [9271] 15.4723 15.7558 22.1485 18.6123 21.4890  9.6368 12.1996 14.6791 17.5899
##  [9280] 19.7105 13.7998 13.8587 15.5141 12.3272 11.3475 17.0646 15.6979 11.8534
##  [9289] 18.4857 16.2575 29.7189 14.4493 14.2186 13.2094 15.5251 12.6314 17.5556
##  [9298] 17.5582 11.5128 18.7499 17.8396 17.1452 10.3023 17.2513 17.8606 13.4754
##  [9307] 17.5308 16.1023 19.0124 17.9127 14.5939 15.0811 21.7703 16.7918 19.2819
##  [9316]  6.7275 11.3745 16.7027 13.8330 13.0137 13.2185 18.2934 15.8682 14.5906
##  [9325]  8.2990 14.6792  9.9992 10.9484 13.5653 14.0191 11.3996 15.2337 11.9775
##  [9334] 14.5828 17.5223 15.8431 17.1651 11.2814 22.3112 13.8604  8.9207 15.5108
##  [9343] 22.2688 17.2651 16.7987 15.2522 20.5692 11.6601 16.8277 19.6975  8.9124
##  [9352] 21.2501 14.8845 17.1643 10.2463 11.3948 17.6781 20.0590 10.6024 14.5983
##  [9361] 20.7149 11.8296 23.3381 15.6316 11.8961 16.2262 14.4972 24.7223  8.5206
##  [9370] 24.5742 18.1962 25.3812 13.7906  9.3207 10.4122 12.4427 15.9713 15.6748
##  [9379] 25.8299 17.7211 18.7827 17.1796 11.2482  9.4312 19.3332 17.0045 24.7191
##  [9388] 16.0907 15.5652 21.5325 14.6873 15.1216 19.7717 15.7249 19.0216 12.6536
##  [9397] 16.4869 21.1252 15.1382 17.5523 25.0448 16.9426 10.9587 12.3322 26.3632
##  [9406] 20.2271  9.5048 14.9366 11.9095 11.9395  9.7993 15.6180 13.2806 15.9002
##  [9415]  8.5462 15.9468 23.1823 12.8109 19.4186 10.4539 13.6399 14.4356 14.1655
##  [9424] 15.6433 11.8687 12.2511  8.9058 15.8809 13.4799 15.7744 19.6835 20.6967
##  [9433] 16.4532 17.5634 18.4593 10.2728 23.6353 21.7687 18.2697 14.9812 11.7480
##  [9442] 16.9609 18.1523 19.2996 17.8265 21.4620 18.7456 18.7304 17.9246 20.2947
##  [9451] 15.8172 15.5470 22.7134 11.1759 13.5659 16.0858 10.8605 26.4305 22.6101
##  [9460] 24.6565 11.8091 11.0724 22.3430 18.3547 16.4170 17.4469 18.1410 19.8657
##  [9469] 18.3926 14.9395 14.4285 33.0797 23.7715 18.0692 16.8931 13.9406 15.2515
##  [9478] 20.4236 13.0884 13.1927 12.5153  9.3037 11.1330 10.0434 10.3488 25.8395
##  [9487] 17.5012 18.1932 17.0111 18.7582 15.8341 16.4266 21.4960 13.2894 15.4639
##  [9496] 17.7076 15.7297 16.5173 17.8162 16.5909 13.2284 18.9364 13.5344 18.3067
##  [9505] 10.4055 17.0061 19.9567 17.2364 15.4195 16.5434 17.1672 14.9485  9.3128
##  [9514] 15.3932 13.5108 12.4673 10.9096 15.7334 12.6058 15.9650 16.6937 23.9927
##  [9523] 11.0733 10.1048 16.0697 29.3831 15.4263 15.8225 20.7878 21.9712 10.4926
##  [9532] 14.6031 10.0424 15.3963 15.0596 15.4031 11.6294 10.0572 15.4320 16.2001
##  [9541] 12.5599 21.0759 11.9864 12.3021 17.3712 11.0454 22.6405 12.9940 20.2290
##  [9550] 13.2844 15.5228 32.9396 14.9243 25.9328 16.3031 17.8294 17.8739 14.5596
##  [9559]  7.4000 15.5024 22.1024 16.8006 12.3804 15.3114 23.4393 17.1598 14.6088
##  [9568] 19.2009 12.0386 27.2006 16.0160 12.9890 13.2862 16.8498 13.7323 16.4770
##  [9577] 17.6766 18.6097 19.2691 19.5325 10.6501 22.9629 24.4084 23.4306 20.8339
##  [9586] 16.8703 20.5975 14.2734 15.8271 21.7201 20.9407 17.3395 15.3425 20.1057
##  [9595]  9.3458 15.3358 18.5840 22.9182 17.9918 19.2063 11.6029  9.8532 21.5002
##  [9604] 15.7320 14.3445 15.8778 13.4530 19.8458 20.0483 14.6318 26.9273 13.5770
##  [9613] 22.2943 19.3730 16.4446 13.7035 13.6839 18.2661 13.7797 15.8122 11.2822
##  [9622] 15.7781 13.4630 13.4970 24.6812 17.9395 14.0943 11.2347 13.9338 16.3910
##  [9631] 22.6736 15.3384 13.8856 16.2070 20.7325 16.3293  9.5898 14.8662 11.8824
##  [9640] 11.9376 10.1991 24.0581 11.3922 11.7503 16.5495 10.9636 15.1923 15.9809
##  [9649] 13.8456 10.2735 18.1711 14.9251  9.8847 11.5749 20.2931 15.5808 12.2289
##  [9658] 19.5981 17.6720 14.6787 16.2227 17.4294 20.4941 16.8532 19.4228 13.7474
##  [9667] 13.4419 21.3819 18.0523 15.7718 26.4528 13.3635 19.2918 18.4498 23.0339
##  [9676] 15.8050  9.2913 10.5598 13.2532 12.7785 16.9337 11.3787 13.7113 11.9177
##  [9685] 15.9115 20.2197 16.9772 20.3103 17.9219 13.3059 23.9633  9.4566 18.0384
##  [9694] 13.4372 14.2438 18.5174 15.6466 10.8300 20.8438 20.7803 13.6071 11.5594
##  [9703] 15.4008 14.4846 16.8666 10.7356 19.3121 14.0824 13.7347 13.8099 16.0171
##  [9712] 18.6037 15.0599 11.3804 20.0780 15.7961 13.1126 17.6328  8.5046 15.3542
##  [9721] 15.6884 10.2394 16.4455  6.4982 14.0384 16.4273 22.3689 15.7269 16.9459
##  [9730] 11.2502 14.4919 14.5082 14.5362 17.0632 11.8455 17.4944 16.9124 15.8217
##  [9739] 13.2870 19.4917 14.3012 13.4681 15.7851 21.8693 19.8025 10.6506 17.7407
##  [9748] 18.5024 13.7665 16.7017 21.7614 10.4098 16.3524 23.0660 18.4634 29.7567
##  [9757] 22.4617 11.9169 10.7603 22.4948 10.9440 17.5727 18.8176  9.8676 17.2551
##  [9766] 11.4836 11.6753 17.9590 11.9918  8.9754 13.4968 15.4827 18.6162 12.3789
##  [9775] 18.1452 17.1882 15.9375 18.6376 27.1436 15.8521 29.3986 11.5118 22.8366
##  [9784] 10.7494 28.1216 17.1675 11.8106 12.3409 13.7939 11.7197 25.3952 21.7043
##  [9793] 16.4064 15.9013 12.8490 11.5911 13.3670 14.0258 14.8445 24.4980 15.9776
##  [9802] 17.0314 12.8866 14.4349 16.3826 15.1571 23.8223 14.2963 17.8052 14.6224
##  [9811] 12.7867 12.7802  8.0796 11.8698 12.6984 18.5238 20.9238 21.6038 17.3203
##  [9820] 19.3777 15.2860 15.2114 13.6012 17.6863 14.4110 23.7726 13.2954 24.8996
##  [9829] 15.8024 15.1706 16.4747 17.7514  9.5782 26.3662 12.0630 12.8506 12.6633
##  [9838] 21.6666 23.3491 17.8458 19.8937 18.4613 19.4307  9.9739 13.2947 23.5863
##  [9847] 14.1220 13.6761 11.3968 18.4428 12.3621 12.4278 15.8985 19.3706  8.7995
##  [9856] 22.8647 27.2820 16.6126 18.4811 11.1968 18.5329 13.8885 11.9232 12.7449
##  [9865] 14.8272 19.1380 18.9909 31.3859 14.9044 16.7440 15.2381 10.6869 14.1324
##  [9874] 10.7295 18.7284 27.5352 13.8816 12.4295 13.8422 25.3939 16.7482  9.8441
##  [9883] 22.6271 16.2151 13.4829 13.1820 13.2077 21.1905 14.0873 13.8098 14.7939
##  [9892] 17.9949 16.0972 11.2695 16.7063 12.1628 17.3439 19.8164 16.4649 15.5266
##  [9901] 13.3978 11.0315 14.6289 14.0759 21.5720  8.6988 16.3931 28.7972 16.4747
##  [9910] 14.9549 16.5805 10.3014 12.6960 14.2009 20.4099 16.1437 14.8333 18.1161
##  [9919] 12.7847 10.7333 10.1890 14.4578 15.3228 20.1191 12.2513 12.6756 11.1110
##  [9928] 19.9976 13.3183 17.4690 20.9251 13.9833 11.0515 16.2518 15.1275 13.9123
##  [9937] 19.0069 25.3435  8.8798 17.1420 16.8378  9.5650 19.7174 15.8781 14.5856
##  [9946] 10.4931 21.7841 17.8381 10.5143 23.4437  8.3332 14.5557 12.9171 21.1884
##  [9955] 14.8474 10.0271 14.7787 22.3804 17.1324 11.0662 12.7673 27.8557 17.4741
##  [9964] 19.5535  9.9419 17.3753 16.1245 14.2056 19.8791 17.3182 16.9823 15.5150
##  [9973] 24.5010 13.6900 11.8850 17.3588  8.7502 21.0376 10.1755 28.1525 25.9642
##  [9982] 15.8207 13.0564 16.8558 13.5482 15.1631 11.8433 10.1817 16.7554  9.8803
##  [9991] 14.7940 19.1839 13.3153 20.1481  9.5027 12.8915 16.2997  9.3358 18.3911
## [10000] 16.1927

## The Mean of the sample means =  16.0167
## The standard deviation of the sample means =   4.1918
## The Mean of the population =  16.0653
## The Standard Deviation of the Population =  41.7595
## Error of the Mean of the sample means =  0.0486

1,500,000 samples of size 100

## The Mean of the sample means =  16.0655
## The standard deviation of the sample means =   4.179
## The Mean of the population =  16.0653
## The Standard Deviation of the Population =  41.7595
## Error of the Mean of the sample means =  2e-04

#The sampling distribution of sample mean is a normal distribution! Let’s calculate the mean of the means

## [1] "The Mean of the Population = 16.07 delays due to staffing."
## [1] "The Mean of the sample means = 16.07 delays due to staffing."
## [1] "The Error of the Mean of the Sample Means = 0 delays due to staffing."

#The Central Limit theorem states that #for samples of size n > 30 the Mean of the Sample Means will appoximate the True Population Mean. #and! The sampling distribution of sample mean will be a normal distribution!

#If we know the Sampling Distribution of Sample Means forms a Normal Distribution then the Empirical Rule holds.

#So, we know! 95% of the sample means will be two standard deviations from the true mean!

Recall, x_bar, our sample mean is a random variable. Just like the coin toss, there is a standard deviation or variability in the set of all sample means. Let’s take a look at the standard deviation of the population and the standard deviation of the Sampling Distribution of Sample Means.

## The standard deviation of the Population = 41.7595 number of delays due to staffing
## The standard deviation of the sampling distribution of sample means = 4.179 number of delays due to staffing

The stadard deviation of the poplation is larger than the standard deviation of the sampling distribution of sample means.

#The standard deviation of the sampling distribution of sample means or the variability in the set of sample means is much smaller. Using the Empirical Rule

(mean of the sample means ) - 2(Standard Deviations) < population mean < (mean of the sample means) + 2(Standard Deviations)

## 95% of all sample means are in error by plus or minus 8.4 delays from the true mean of 16.1

#The Central Limit also states that the standard error of the Sampling Distribtution of Sample means is sigma/sqrt(n). Let’s see how well we simulated the standard error

## The Standard Deviation of the Sampling Distribution of Sample Means =  4.2 delays
## The Population Standard Deviation sigma/sqrt(n) =  4.2 delays