Actividad 3.3.2
Laura Franco
2025-03-30
Problema 7
a. Genere una muestra simulada de 10000 cilindros de concreto.
n = 10000
mu = 30
sigma = 5
resistencia = rnorm(n, mean=mu, sd=sigma)
resistencia## [1] 37.91219 33.23254 22.84377 31.31646 31.16235 29.14234 38.53206 35.67156
## [9] 27.83904 32.25080 34.53284 35.72878 26.69292 39.21848 27.63394 24.21408
## [17] 20.37855 34.83268 38.04299 28.70166 27.30648 22.52577 33.08374 30.84082
## [25] 23.77926 40.96854 23.70872 35.08411 37.77054 37.96193 23.06074 34.20423
## [33] 28.84161 28.87786 33.49904 29.09374 38.35898 27.79268 38.71015 31.16842
## [41] 28.88554 25.10133 26.42869 31.10932 21.90035 32.44632 32.96149 31.21198
## [49] 38.27082 33.11746 39.79370 36.86522 19.31080 26.99940 23.67916 28.35470
## [57] 31.56052 29.83913 31.56569 25.38043 25.36069 30.43834 33.29372 31.11070
## [65] 30.97933 34.98629 35.89220 30.67988 28.97816 29.35877 29.62950 33.93188
## [73] 27.16482 21.39889 30.97664 34.95034 27.54869 35.76176 40.17120 29.79080
## [81] 23.81976 27.46817 34.55938 34.96532 31.67476 24.54061 29.72177 24.85752
## [89] 35.58032 29.63833 28.39282 30.58738 37.11973 30.14708 34.84977 35.01975
## [97] 30.58563 23.87503 32.53841 32.79499 31.63087 33.82958 33.83046 25.23166
## [105] 29.84416 29.64699 24.92663 28.90814 37.86638 34.96742 29.30213 38.37507
## [113] 30.19463 35.54613 29.63499 27.71313 30.98677 33.44575 39.48752 28.82043
## [121] 22.21435 31.68369 23.71756 29.79916 21.93309 32.32988 30.73843 28.79503
## [129] 31.51772 30.91168 33.47538 30.85786 28.55668 28.91288 30.52574 22.60567
## [137] 29.87550 33.91469 30.11464 29.65686 26.11042 39.19611 29.77124 33.25922
## [145] 34.81488 25.89566 37.09742 34.51306 23.12648 25.58573 28.83848 28.79768
## [153] 29.81291 28.01145 39.63295 31.45903 26.25088 29.72776 35.87440 37.92511
## [161] 30.04222 24.02234 32.52383 33.18014 26.54144 24.32227 30.64026 43.08744
## [169] 22.88597 21.61052 32.47308 21.63671 35.02508 38.08052 24.78200 24.74140
## [177] 32.85416 31.46210 31.34491 32.30982 28.47333 32.06042 32.81084 31.06843
## [185] 34.30608 33.48967 33.73298 28.63714 30.32728 35.55150 36.20237 24.77407
## [193] 24.73434 26.33563 32.74336 39.29976 23.70636 29.65020 27.92554 34.35729
## [201] 28.33696 21.58348 23.50378 36.67737 34.43563 32.58617 28.03844 44.23630
## [209] 25.75035 36.50397 29.23748 31.93583 27.88628 32.30863 26.50996 28.35299
## [217] 26.44647 29.50970 35.45199 26.45470 29.51202 29.42376 24.06039 23.66901
## [225] 30.22112 35.13293 26.68960 29.89464 32.14445 19.22677 24.55745 20.26444
## [233] 34.68703 23.84339 25.15667 30.20391 21.53611 36.10312 31.30110 30.47273
## [241] 27.94986 31.69843 25.04883 28.76960 23.95866 21.77845 27.17791 27.46689
## [249] 41.00523 33.84390 24.92193 28.12278 31.73011 23.66911 25.36731 35.22810
## [257] 30.22918 28.63051 28.42404 22.54854 32.09572 25.52247 33.23844 35.25297
## [265] 28.57890 35.87419 25.45589 25.89435 25.30543 29.69631 30.04286 25.09477
## [273] 39.96541 29.17946 28.84092 30.75194 28.14954 29.09122 31.18491 20.45035
## [281] 27.80627 29.52174 21.91122 32.02072 38.38902 34.40857 31.91434 17.10122
## [289] 29.66412 28.03341 27.48200 26.03890 17.75722 36.35855 32.56365 29.41349
## [297] 25.31150 31.06587 27.12671 29.32283 29.90860 33.34831 28.87945 28.48765
## [305] 23.54357 33.66423 29.79826 24.96938 30.36883 32.09599 22.83475 32.23380
## [313] 17.17609 38.40355 33.58382 30.65951 31.07137 30.57563 22.64460 25.35139
## [321] 23.88671 24.65240 25.80554 27.77993 28.38693 33.71150 30.81467 38.67121
## [329] 35.46128 30.21518 29.82725 31.97889 25.27569 31.59996 33.30420 37.41813
## [337] 25.25570 36.22064 28.00575 29.37698 30.94981 32.24765 26.10018 35.63525
## [345] 31.82394 29.02199 25.21259 31.76716 24.54753 28.74035 34.52315 37.48944
## [353] 18.10891 36.74296 33.57351 33.70595 30.45876 33.89393 24.20615 29.56899
## [361] 28.33231 31.38176 27.79631 33.68587 24.30545 30.13680 32.48576 27.96445
## [369] 25.41776 31.10373 24.59664 28.82430 28.14885 27.74746 35.55030 27.99325
## [377] 31.82228 26.23507 32.41156 29.57350 31.87931 31.46195 23.11037 30.55110
## [385] 35.05004 14.65783 28.89122 34.99645 30.06012 25.93478 33.29263 35.51501
## [393] 24.87724 27.39626 23.90293 26.95071 26.67011 33.55154 29.50746 19.72287
## [401] 31.44079 33.66665 28.05131 28.30443 25.17548 29.01141 29.60928 27.11616
## [409] 24.52358 26.01743 34.25229 32.50696 21.09109 28.56644 32.18041 23.44135
## [417] 24.68450 30.37761 25.81018 35.30622 27.44725 26.60174 29.50947 27.95371
## [425] 33.19978 34.52218 30.71355 29.58580 30.47045 25.71100 35.19655 28.68552
## [433] 29.26577 35.69285 28.67475 29.13566 33.91790 21.75040 35.48701 24.87898
## [441] 28.61669 27.71620 23.42615 27.34042 31.33281 27.36421 34.04084 36.60386
## [449] 37.90493 31.10633 23.53882 32.29409 26.86192 36.41800 31.65910 26.72754
## [457] 33.45006 30.74734 26.12358 32.34618 28.08066 25.80961 29.08878 28.79664
## [465] 24.92179 20.73270 27.33135 31.78177 25.47468 28.92952 28.75584 31.12605
## [473] 26.11800 28.50427 30.24345 37.87822 43.79284 26.96824 28.03799 32.88284
## [481] 34.48126 30.62896 32.84932 30.98373 25.27376 31.33333 32.50252 31.32690
## [489] 26.22034 24.82126 36.90818 30.89060 30.84785 26.53823 26.00102 26.64392
## [497] 29.24123 34.49431 32.44155 25.51783 27.52239 28.22105 30.78064 25.56191
## [505] 34.69790 35.22066 32.11387 34.04730 27.41277 27.47280 35.36578 33.00383
## [513] 32.16323 31.35268 27.73942 36.32495 30.47758 25.12741 26.62646 30.91592
## [521] 39.34249 21.16180 33.02020 26.57874 22.35912 27.05515 32.28504 30.47671
## [529] 19.63911 24.34712 21.26479 27.59568 26.28607 22.82415 36.46956 31.83264
## [537] 29.90205 22.72245 28.54402 29.77858 39.83169 28.88381 36.31025 39.54489
## [545] 24.74592 33.94079 25.19874 38.16409 34.66719 37.64519 35.12102 26.55020
## [553] 26.37386 27.99220 32.29216 29.90128 36.00965 25.77559 25.52265 24.91655
## [561] 35.07721 33.25199 26.78562 35.52911 24.37443 32.77410 33.16012 35.21260
## [569] 38.83560 34.28232 28.50879 34.85496 26.65993 32.42565 35.05995 30.44913
## [577] 24.72147 35.09554 23.70526 30.83367 28.96530 31.60454 25.49744 30.03092
## [585] 32.04926 20.74926 25.58881 30.69807 31.01322 33.10492 41.18888 29.94070
## [593] 25.10251 28.04813 25.78230 30.05962 33.12204 30.56451 28.46244 29.47021
## [601] 24.10688 30.31696 22.42620 36.06118 27.03299 28.22899 28.74855 36.93358
## [609] 31.41853 29.29364 27.41484 30.40198 34.77855 28.94488 26.90806 29.34615
## [617] 30.37728 29.32134 34.58534 33.12055 31.25199 26.48161 27.17393 32.81227
## [625] 30.28021 33.56525 29.05365 31.26333 34.32429 32.27893 26.18635 32.73817
## [633] 24.78210 29.47805 30.35060 35.13408 32.26957 31.10420 34.66078 29.36932
## [641] 33.69413 30.71801 37.36143 34.62749 25.00225 31.83493 30.05415 34.08467
## [649] 31.79265 32.95698 34.17263 29.54068 26.30831 31.84469 36.96725 31.58817
## [657] 34.64627 38.18353 28.43325 30.22002 33.26745 38.56544 30.75618 29.51136
## [665] 22.48739 26.39525 29.25247 41.36147 32.68783 33.66390 33.03601 23.50678
## [673] 26.96070 29.44035 30.31153 24.41421 30.54291 27.35343 28.69941 36.09421
## [681] 32.91407 28.77771 36.86230 31.46612 27.59346 36.92834 22.86705 24.27590
## [689] 37.44845 32.47068 25.53303 29.23738 35.44944 28.03042 27.95069 31.22589
## [697] 25.17107 33.33593 31.12525 41.61133 23.87925 39.63777 32.46329 39.00273
## [705] 19.89170 29.51549 34.85491 32.65383 28.72486 35.77925 29.12568 35.35371
## [713] 24.75720 31.59172 27.98616 39.79794 37.86826 35.28914 26.75341 34.11197
## [721] 34.74011 39.26559 20.85604 29.99569 28.70132 31.52614 34.24237 29.33989
## [729] 36.73521 23.80520 28.93331 30.04074 29.74334 28.54940 29.29292 38.37671
## [737] 27.32434 26.92219 22.48951 34.03214 28.01615 36.95587 30.20091 32.62745
## [745] 31.04515 25.18556 32.18183 30.89244 34.47869 36.22222 26.60546 23.37565
## [753] 38.64189 31.89960 31.14268 32.29627 24.48549 27.94550 25.63227 28.38332
## [761] 28.21248 32.73492 23.72772 31.64245 28.13419 28.57925 24.23903 34.49201
## [769] 32.03640 31.02703 28.97998 28.44054 30.50579 30.91252 27.87526 31.23434
## [777] 29.93852 23.51485 26.54007 27.59464 28.75622 33.47163 24.83513 32.02845
## [785] 39.21115 19.93795 31.41177 27.17801 34.85196 25.92283 37.49879 38.27700
## [793] 37.38445 27.78100 32.80382 27.60884 20.34133 31.78818 28.27864 35.16411
## [801] 39.90014 20.55017 31.01837 24.66223 34.86988 37.43232 27.05237 34.29619
## [809] 34.68346 30.68711 25.54801 33.16735 23.66207 32.54133 28.43246 31.20510
## [817] 33.70819 31.73650 33.32413 25.18384 31.91781 32.56624 35.06283 32.54934
## [825] 26.91785 28.89000 29.54862 31.58696 25.07874 31.83031 22.06773 33.49348
## [833] 37.59280 30.20988 23.22272 39.15120 34.44923 39.39111 24.50484 22.57947
## [841] 26.71028 22.45583 30.01534 32.59079 36.19931 26.55673 23.24846 25.33649
## [849] 27.66289 32.99516 31.89185 28.24940 24.73997 32.15523 27.15602 34.06646
## [857] 31.97417 35.02375 42.70715 25.03460 28.29395 29.50973 38.77201 26.97443
## [865] 34.11541 34.23227 35.29400 31.34041 27.45686 29.50494 28.15585 24.31212
## [873] 23.04395 40.05553 37.61742 29.75826 35.67066 30.54514 31.94630 30.52852
## [881] 33.31713 27.23535 22.57152 24.60663 23.87614 19.38926 25.74221 35.21067
## [889] 31.27077 25.24364 33.23909 20.13330 26.34538 27.75465 23.92434 31.28588
## [897] 23.57149 26.01923 28.44723 25.20639 38.29245 29.92719 27.09244 25.38630
## [905] 24.47806 36.71243 19.04970 32.32160 22.65625 26.21452 33.08898 29.36007
## [913] 25.54936 29.58443 38.73879 35.08350 23.40118 24.69645 29.32602 38.74105
## [921] 26.77672 37.03482 39.52294 21.71268 31.36150 33.09582 29.83869 23.75021
## [929] 31.59510 32.32517 26.42182 30.43868 29.33769 37.37966 26.01398 38.11577
## [937] 29.90924 30.16091 27.41540 23.79459 24.34685 22.87345 26.30861 27.73751
## [945] 30.09059 30.11777 26.68838 29.31080 24.37302 26.92765 26.22175 28.77047
## [953] 32.35810 29.42019 30.54006 28.56520 30.61412 26.51557 17.91273 30.99259
## [961] 34.62585 31.64934 28.77170 26.75298 30.15244 28.11668 30.33834 31.27351
## [969] 32.62959 23.57483 31.87102 36.73422 27.73133 38.43225 28.66090 27.35047
## [977] 27.64693 30.75669 29.52694 30.84987 25.44340 32.96815 32.07068 26.04087
## [985] 22.60271 29.56881 35.21013 28.35328 27.21230 25.15414 29.37940 24.59182
## [993] 36.05611 22.65683 27.61573 32.55703 30.39299 28.75468 30.13729 33.19219
## [1001] 34.32177 39.80383 27.64370 28.52824 26.18478 33.02628 25.22897 27.25006
## [1009] 32.41972 35.58457 27.93801 33.94147 25.66065 25.56929 33.38463 26.16914
## [1017] 27.65568 31.37176 32.67072 38.69777 29.21766 24.38295 27.80711 32.86395
## [1025] 36.40855 32.67935 26.26894 23.87030 34.13024 24.86412 39.27025 33.00025
## [1033] 32.58265 33.55824 21.41202 33.12312 29.91728 39.79620 36.17724 33.75720
## [1041] 35.44165 30.48939 29.11689 23.24199 36.04168 28.05622 34.71958 28.52917
## [1049] 31.68207 31.07733 28.64963 32.97720 31.23381 33.67199 31.34781 32.88012
## [1057] 31.21990 36.52489 29.58961 35.09163 31.71622 30.18508 26.17725 34.84891
## [1065] 28.94191 23.68828 28.96883 28.80481 30.16142 30.99739 30.03619 34.67681
## [1073] 35.47194 26.14951 31.30936 22.29037 26.86849 32.73116 30.13551 25.90513
## [1081] 22.83361 34.63169 25.53184 31.24749 30.39035 36.09482 19.19774 25.61451
## [1089] 32.52193 30.12791 28.06183 30.69650 34.84140 32.53627 33.19928 29.62892
## [1097] 30.48692 32.36907 27.57438 30.60418 24.66004 34.78706 32.09427 30.25050
## [1105] 26.76656 21.57707 33.95053 27.21371 27.72584 34.51881 36.00965 32.19918
## [1113] 33.30231 32.90219 25.18866 37.30121 24.14186 31.27918 28.70588 34.65402
## [1121] 26.30250 40.72608 30.26051 39.39845 36.11631 30.92407 29.04773 43.65894
## [1129] 24.78087 35.60027 21.98924 33.11122 30.13305 30.01351 27.09989 34.37482
## [1137] 30.89508 40.56034 33.86569 19.77335 27.87514 40.96177 31.03908 20.26320
## [1145] 21.72898 30.90332 24.05058 25.78437 21.90365 31.04019 30.34602 29.99890
## [1153] 18.98667 25.74434 27.80702 27.26951 33.21085 32.36385 31.05932 28.99642
## [1161] 35.71589 27.44489 27.40991 25.85805 36.33404 34.63844 37.03045 25.25734
## [1169] 32.24828 24.79839 36.74782 28.45015 28.52178 26.31530 27.01097 23.80751
## [1177] 31.69464 26.04021 37.72329 36.77173 28.10997 37.62557 32.36706 31.91720
## [1185] 29.04219 34.64251 27.01893 32.42973 22.33082 24.78396 35.77868 27.19031
## [1193] 25.63198 32.80071 27.53989 28.74883 27.38257 18.46197 31.06719 25.12689
## [1201] 34.54001 25.29690 30.08486 29.20808 39.05631 42.06775 25.14629 28.94650
## [1209] 28.75948 16.47571 31.82442 25.62154 36.63064 34.81410 36.41713 27.72316
## [1217] 26.40139 28.98319 26.79604 36.39479 28.33923 29.49243 30.53547 22.71537
## [1225] 32.59452 25.24506 28.17873 25.99954 29.38651 33.64733 32.20879 31.88317
## [1233] 26.84515 33.22394 36.77621 34.53596 22.40685 39.71300 28.60564 24.57807
## [1241] 22.72234 36.57179 30.71840 36.42911 33.53086 31.49961 22.90850 31.26186
## [1249] 27.17844 28.45827 30.55820 36.40760 37.13753 33.94001 32.09335 27.42421
## [1257] 27.64109 29.18308 25.45809 38.43705 31.50507 25.33208 35.16902 29.32240
## [1265] 29.95641 29.32315 30.35445 23.34457 29.41465 28.01175 27.66479 33.94758
## [1273] 33.11495 27.39113 32.82222 36.16468 32.95833 30.53824 41.18866 32.46746
## [1281] 24.71693 22.59501 34.33821 30.91871 27.27076 30.02655 31.06873 23.38470
## [1289] 32.95608 31.47022 30.73634 32.13078 28.22312 36.04374 33.19248 23.96085
## [1297] 29.06143 29.67680 25.34366 31.22841 27.36799 31.21325 30.65451 29.12467
## [1305] 29.10965 23.47197 25.60890 29.58424 29.32420 41.99063 28.88618 26.47852
## [1313] 37.03466 32.93346 24.19716 32.39371 26.67058 27.56049 26.79419 33.97631
## [1321] 34.08501 36.22710 30.23460 42.12315 16.55011 28.49161 32.41630 28.24243
## [1329] 33.90333 28.91549 30.67328 32.89267 29.52843 26.63821 23.19276 31.24192
## [1337] 23.96569 25.90100 27.83023 34.21353 35.59556 30.13088 28.40106 33.65403
## [1345] 34.19000 30.64606 31.41798 26.40211 29.36761 31.57546 31.38093 30.79759
## [1353] 26.26197 19.00133 24.51700 30.58614 34.22039 27.98986 25.86535 26.80188
## [1361] 29.83461 26.70597 21.99765 29.87706 35.56056 27.57745 33.45929 35.71850
## [1369] 25.88789 28.55682 36.48311 27.29958 31.08606 22.08859 27.17720 33.65366
## [1377] 26.93779 27.65380 28.82750 32.67270 27.57889 34.59309 31.83914 24.94080
## [1385] 17.10918 29.77647 27.41540 34.26398 31.04644 22.40887 28.84434 36.42532
## [1393] 33.60409 24.19781 31.65834 29.89665 26.13122 30.99196 29.29765 27.85749
## [1401] 25.45453 36.27771 29.16129 34.14201 38.37616 32.24365 30.27172 29.71562
## [1409] 24.66948 32.68122 31.74576 35.44355 29.78724 19.08565 27.60370 28.19533
## [1417] 21.79124 35.62329 33.83457 20.93441 34.74724 31.79458 21.47652 33.28602
## [1425] 33.71470 36.38109 28.50721 30.50596 26.85711 28.42559 23.22626 30.24174
## [1433] 27.95706 26.79130 32.63339 31.47762 22.90033 29.67426 23.97286 24.20839
## [1441] 27.29247 11.35609 38.49909 21.70666 33.33499 27.28314 23.58210 27.41582
## [1449] 28.46208 36.17877 28.22818 27.62008 23.28995 38.86677 26.83775 39.46841
## [1457] 26.80997 25.65760 25.94551 33.43971 30.23418 37.42175 29.00205 28.54471
## [1465] 35.30821 38.84419 24.91004 31.98960 31.28521 27.16638 31.52245 37.25598
## [1473] 34.75440 29.91253 26.21888 21.06899 25.75876 30.12793 37.11915 24.31446
## [1481] 25.46999 31.31101 33.84804 27.74137 30.45767 30.72463 35.04258 25.47661
## [1489] 27.33787 23.45056 35.45640 39.34367 31.22895 17.99462 31.27365 41.13955
## [1497] 30.14303 31.67074 32.08720 34.30912 35.22096 30.87507 24.40018 26.74151
## [1505] 22.65863 35.49848 31.67411 34.99618 20.90171 27.68865 23.53393 29.05837
## [1513] 32.58666 28.88618 19.78415 38.01552 31.29712 31.59364 39.40890 30.89281
## [1521] 20.91506 36.42585 29.61693 29.17207 27.61847 27.46768 27.45387 30.18251
## [1529] 26.91742 28.56323 31.43976 29.38017 34.03800 37.58258 24.04495 29.08188
## [1537] 27.49799 33.55333 21.70931 23.45344 32.32704 33.61332 37.18004 33.51051
## [1545] 27.70024 33.07729 28.57131 31.05989 23.02805 35.79923 36.80465 30.04763
## [1553] 24.08135 39.14543 26.37614 32.43011 22.97775 35.66002 22.26141 35.91614
## [1561] 29.03928 29.35362 35.84884 33.20795 29.82558 33.56476 24.38781 23.71154
## [1569] 36.28665 24.94964 30.48330 24.85978 38.91707 30.86601 28.49859 27.37406
## [1577] 29.61950 24.92129 37.29130 30.38725 31.77321 20.85311 36.87394 33.77762
## [1585] 34.59491 35.12497 30.73095 31.86018 16.50222 36.74102 29.18619 34.42907
## [1593] 22.53031 27.92769 28.14021 18.64990 28.62778 30.45885 26.35523 34.53886
## [1601] 24.86761 32.54252 30.90873 37.21350 33.63828 26.41648 27.24688 34.41317
## [1609] 29.73242 40.86296 34.45819 31.82256 21.96508 22.35911 35.86600 33.37083
## [1617] 34.42352 35.38634 28.82949 30.26047 26.56918 29.68009 30.85104 32.12344
## [1625] 24.05659 33.79163 25.86910 33.04101 33.49830 37.65199 27.23341 34.69738
## [1633] 31.82826 26.06217 35.48552 23.52660 34.89459 33.53176 36.40976 29.51383
## [1641] 29.04791 28.22341 36.44777 24.21112 31.20850 38.08021 32.71701 29.04614
## [1649] 22.69869 27.96941 37.58743 36.09136 33.58012 39.40693 26.20232 23.45880
## [1657] 22.53248 28.85449 36.05808 29.78709 29.23399 29.36165 29.57273 34.25589
## [1665] 29.43182 25.14336 40.40184 33.32577 21.48514 27.00708 32.60738 29.52923
## [1673] 30.83830 25.81643 29.44672 36.26675 24.68941 32.39102 30.85907 39.49456
## [1681] 32.05809 22.37181 21.47428 28.10876 34.13325 26.70963 35.95398 39.16331
## [1689] 22.36989 33.45799 31.48935 26.96591 18.50966 28.07835 22.23240 20.44366
## [1697] 29.69399 28.34126 34.77610 25.58324 30.69615 23.37658 27.59472 24.00617
## [1705] 35.62781 29.33699 23.55880 37.51479 30.18287 24.75786 30.61515 33.07929
## [1713] 32.07757 30.00241 33.71830 29.83197 23.34589 23.71421 28.80660 26.06029
## [1721] 36.52123 31.23641 37.14680 29.78196 26.37517 20.24500 24.82094 31.93659
## [1729] 27.56517 30.21119 26.40379 27.69408 32.52634 33.80178 23.74186 31.32455
## [1737] 29.19487 26.74916 31.78853 38.85959 28.12186 33.88294 29.41236 29.81927
## [1745] 36.83567 28.53039 31.61745 32.71634 25.56688 31.54817 22.67669 31.49229
## [1753] 36.09419 21.70203 34.94989 28.98074 28.39751 23.94683 26.51323 34.90033
## [1761] 32.96402 23.44078 23.04336 27.02679 25.30614 21.30061 30.27755 35.17121
## [1769] 34.08757 35.22747 27.61912 30.85703 30.60611 33.58756 33.88876 32.56403
## [1777] 30.96084 31.21841 27.88603 24.55049 32.95137 26.29723 37.20464 31.02993
## [1785] 38.09280 23.74151 29.54087 35.70458 40.00291 29.29104 31.42665 28.12787
## [1793] 36.40799 30.26423 36.05545 38.45449 24.53608 33.39820 23.98579 31.11327
## [1801] 20.91357 27.99155 37.44200 29.47490 33.33742 27.44067 36.81588 29.36226
## [1809] 33.51246 29.10716 25.25753 25.20493 23.75589 27.42417 35.29949 33.04911
## [1817] 32.17556 28.67671 28.65073 39.18272 17.90948 31.57362 32.27916 26.57609
## [1825] 28.25348 29.08323 31.28251 31.50723 32.41279 35.62146 29.34996 32.19770
## [1833] 30.65645 25.60575 30.58936 31.19125 36.52669 30.47489 34.16743 28.14991
## [1841] 31.24131 31.95132 22.17096 30.16619 29.71326 22.21558 28.81364 26.20651
## [1849] 25.75651 33.29325 28.28047 29.49863 36.03176 27.48577 37.97891 21.48004
## [1857] 32.09779 20.86989 33.53727 11.46164 37.21391 39.04359 27.61349 21.86102
## [1865] 31.06746 36.91806 33.30258 27.83496 33.16470 28.69619 35.23311 30.88626
## [1873] 36.26253 24.58462 31.16340 32.49959 29.33336 28.97175 29.00419 33.16111
## [1881] 29.81167 20.32552 26.40125 29.12849 27.36480 39.76735 32.57578 37.91246
## [1889] 34.76498 32.31358 25.46228 35.30190 26.46533 26.65307 23.44925 27.45307
## [1897] 28.84689 28.03296 29.31617 35.10554 36.57802 37.50683 32.29809 35.82269
## [1905] 31.47452 31.83916 33.44832 26.05018 23.32524 30.90955 33.70091 19.92043
## [1913] 29.23674 34.87779 35.49667 31.53941 21.65088 34.07794 28.64631 26.96279
## [1921] 28.28655 27.74255 28.62532 27.49000 29.55453 21.49198 29.04740 37.60795
## [1929] 27.25653 38.51828 30.58220 30.09877 33.25467 30.44633 29.84288 27.69526
## [1937] 21.65796 23.08428 28.24905 30.06227 39.96844 34.87923 38.11964 26.29940
## [1945] 25.81741 34.10398 38.79821 29.97902 28.43810 34.38624 30.04098 32.39447
## [1953] 31.01557 21.59215 28.09133 25.00427 32.95164 28.98991 34.16620 33.18345
## [1961] 29.92143 35.02116 31.89532 30.13901 27.40426 28.25635 30.26107 35.99045
## [1969] 28.54616 23.24625 32.87410 23.92547 25.14001 26.70091 32.51831 27.43288
## [1977] 34.11448 30.05242 25.08321 41.89202 33.88241 28.34241 32.29961 27.17979
## [1985] 32.91788 35.25202 32.65654 26.69437 34.73333 25.98662 34.69074 21.89860
## [1993] 34.99783 28.66146 27.08420 27.88855 31.08275 22.30829 16.70469 30.64834
## [2001] 27.99106 27.12212 29.24179 30.36929 37.74914 29.68709 30.59702 31.36081
## [2009] 31.23812 28.59899 23.27958 32.15252 23.92205 21.84029 30.08032 31.06438
## [2017] 23.10076 25.67139 33.68091 31.92253 27.79486 28.42844 30.18306 33.69435
## [2025] 36.96089 31.59699 39.41806 24.87356 28.89461 33.43953 31.92256 30.67287
## [2033] 36.02328 34.81586 25.99673 30.78088 28.54996 31.43389 24.76704 38.26500
## [2041] 27.18111 35.75448 21.26067 42.43889 25.19062 31.67102 34.83588 39.04017
## [2049] 32.38524 36.51399 24.84493 26.72325 31.12489 29.76141 29.08214 34.30466
## [2057] 33.18672 23.30185 28.02599 25.61135 26.72703 27.48872 29.18176 28.57765
## [2065] 22.86981 35.42130 26.22632 28.04418 27.89260 22.60583 33.41442 27.52028
## [2073] 32.83803 34.17368 35.61777 27.08925 33.19324 33.19988 19.08414 21.40021
## [2081] 23.62879 30.89998 22.48653 20.58395 36.35612 29.24407 38.18092 32.09882
## [2089] 28.50507 40.18303 36.21716 36.89303 25.48200 26.49189 22.42876 40.40144
## [2097] 38.49632 26.12813 34.21321 29.35711 28.91995 30.23194 28.33676 24.29203
## [2105] 27.58716 26.20207 25.03175 36.14847 28.54173 33.50526 28.17014 37.16747
## [2113] 30.12556 30.20873 36.89355 28.56166 37.52793 31.22168 32.40136 30.18709
## [2121] 21.05171 33.48588 28.94173 23.59614 26.88676 31.97298 21.20535 35.66624
## [2129] 32.28569 35.20911 34.69351 30.63896 37.26391 32.69244 29.34570 29.83141
## [2137] 30.01434 36.44612 30.96818 32.30313 30.95014 37.30351 32.64718 22.14574
## [2145] 25.15945 29.67052 29.56644 38.68525 30.32624 30.17977 31.08250 40.34533
## [2153] 17.91170 31.79205 32.60262 37.84936 32.82215 29.14888 38.74588 30.24528
## [2161] 26.44539 24.45483 22.74537 33.41560 29.40873 40.72651 32.23200 33.57074
## [2169] 30.55115 13.25736 32.94061 22.73871 36.64440 28.02172 34.96200 26.07598
## [2177] 28.42537 26.78168 35.41033 31.11464 27.00315 25.18724 28.89452 29.98293
## [2185] 30.80652 30.26866 21.94505 36.58243 33.23183 32.36304 26.66985 19.98364
## [2193] 30.34027 30.89131 33.93145 24.29679 22.30458 28.61068 32.54279 37.24911
## [2201] 31.25933 32.64785 32.65251 28.52031 34.17959 32.71995 29.95400 27.35539
## [2209] 29.07871 31.13852 28.21021 34.99758 25.35863 19.84617 37.88706 38.58402
## [2217] 21.96448 33.12051 33.00942 29.56172 32.56044 28.88473 26.39466 26.86967
## [2225] 41.79924 22.09839 25.80928 27.50929 24.71327 29.25383 26.74285 20.74014
## [2233] 33.62159 32.28274 31.28743 34.47960 28.32653 30.56027 30.16111 33.91468
## [2241] 30.49928 35.83313 33.96705 23.60618 31.11927 32.73230 30.53799 32.31965
## [2249] 26.51103 40.21317 37.50912 35.91912 29.96665 20.24896 23.65625 33.34491
## [2257] 27.33005 22.92668 23.86028 38.49329 34.31653 19.81679 30.19212 28.59059
## [2265] 31.36590 28.83303 37.13560 31.84061 28.84173 29.62474 37.96065 30.38592
## [2273] 27.32569 33.04735 34.32734 30.87744 30.79983 23.27987 25.87099 36.29928
## [2281] 31.52640 20.12866 30.83687 29.69491 25.17677 43.18164 32.51501 22.22928
## [2289] 29.92573 26.38610 30.78503 24.79252 26.66209 18.78506 30.35030 31.74083
## [2297] 25.56053 27.57427 27.74025 30.94030 24.59553 16.48805 24.77418 24.21882
## [2305] 26.53038 28.17608 34.97502 34.15638 31.94807 33.77305 33.08206 32.23192
## [2313] 30.70085 20.33887 25.35288 27.09738 30.65709 29.77932 33.83674 31.96888
## [2321] 25.45025 31.73152 35.53724 32.32786 42.81165 26.47856 30.76630 38.03330
## [2329] 38.03771 25.20131 33.08548 19.95637 33.51459 23.35878 31.34764 31.60374
## [2337] 32.38583 26.79777 28.94812 36.58846 28.75265 27.21308 34.64754 28.98962
## [2345] 33.64194 27.59701 23.15822 29.11805 43.55016 34.08185 39.93137 29.59055
## [2353] 26.79715 34.36973 29.37660 36.69624 36.02093 25.37140 31.00247 36.38194
## [2361] 32.20021 28.39594 30.25976 20.16705 27.89253 25.31817 28.18981 29.85504
## [2369] 26.73812 25.90345 33.28639 37.38672 27.15120 19.93616 39.57933 29.66362
## [2377] 24.63872 30.76292 32.81346 27.95260 25.38014 27.26636 22.40224 31.56051
## [2385] 27.86321 27.84014 26.10502 30.20167 15.85681 34.58718 36.68384 24.70758
## [2393] 37.56207 25.60306 30.52482 29.76571 20.82645 42.36047 32.40045 35.87755
## [2401] 33.23321 30.61940 20.15455 37.79583 29.53837 24.43799 23.93159 42.94719
## [2409] 28.74526 23.52933 24.32995 29.55615 32.52338 32.49991 35.88513 30.48443
## [2417] 28.49470 33.15086 30.07755 28.01295 30.80947 31.45116 27.57765 25.05610
## [2425] 31.64167 28.02283 33.91368 33.74023 27.56441 31.43626 28.84258 36.68177
## [2433] 28.31687 31.82189 32.16293 25.97465 35.51885 32.44179 29.46240 24.10644
## [2441] 24.95361 20.74087 22.99522 25.90173 27.54741 27.52957 28.10109 28.61760
## [2449] 22.94901 35.89276 23.88614 28.37892 33.21184 27.90454 24.49471 35.91203
## [2457] 30.07643 29.09891 39.96333 38.05026 16.82729 31.06412 27.39252 20.94506
## [2465] 27.53901 30.86284 33.79387 39.87575 28.85379 32.43627 30.19380 23.57276
## [2473] 26.88149 28.16522 28.61663 25.44001 33.65777 30.43593 32.14489 31.87919
## [2481] 40.89332 38.04757 27.09570 30.21211 34.50960 35.83964 23.01795 34.24792
## [2489] 29.72357 34.26716 24.84508 25.06005 22.67262 32.17675 32.12135 31.37979
## [2497] 26.19319 26.69444 22.10240 31.33917 25.81790 31.70795 30.22683 23.56723
## [2505] 22.13635 28.98029 30.32429 31.26695 29.12568 27.78476 33.92888 25.23539
## [2513] 30.87483 30.30986 30.36561 30.23166 29.32901 32.74586 32.42515 33.54465
## [2521] 28.17724 28.22775 29.65850 24.65383 27.20213 37.41495 37.43799 36.40888
## [2529] 38.20807 29.69738 32.67978 26.54465 21.54748 32.89752 30.95765 32.19366
## [2537] 28.45706 28.74869 37.32819 36.84945 23.88262 39.11542 34.34428 36.00223
## [2545] 25.78920 26.05818 25.82817 28.23271 21.48932 32.00588 24.05398 26.52148
## [2553] 36.65429 29.73011 47.93196 30.30388 30.06004 27.10568 38.04307 24.37854
## [2561] 35.59057 26.12247 35.33550 31.00290 28.90597 36.18868 26.75243 26.66484
## [2569] 19.40811 30.63564 37.43138 36.93357 36.24091 28.39849 26.78568 37.47830
## [2577] 30.25312 34.87292 34.91797 29.57513 22.12591 35.92651 25.68319 28.45838
## [2585] 31.81357 30.26617 34.32699 25.43804 42.24397 29.25136 25.29577 33.23341
## [2593] 27.29998 30.76797 30.36102 27.79384 37.21092 28.16069 28.65311 28.80065
## [2601] 28.92520 32.04875 26.54665 31.37326 25.20109 26.43988 38.27171 34.99315
## [2609] 28.72156 26.23247 30.45731 34.12400 34.86143 33.61605 36.42982 33.04298
## [2617] 39.54163 42.02374 26.00055 30.93970 26.33525 28.22320 28.68952 27.88791
## [2625] 18.74448 33.71667 33.01868 24.29308 23.03967 25.56626 27.74863 30.14384
## [2633] 29.81859 26.59271 34.37144 24.76516 23.85278 19.40574 25.92321 28.92548
## [2641] 29.65257 32.02813 18.78533 32.21249 28.74231 27.96878 34.80313 23.78280
## [2649] 34.18967 23.78617 26.47598 25.91687 32.74904 26.26558 32.94257 40.18118
## [2657] 30.04563 30.52826 31.35909 33.24805 24.34371 31.38375 38.38673 32.10995
## [2665] 34.79701 28.02536 42.39954 28.91326 31.53704 32.86071 28.00871 29.19031
## [2673] 34.43490 37.46883 35.36882 33.48892 20.43926 26.40950 27.87182 30.39977
## [2681] 28.55004 26.15739 22.57431 38.86781 29.69719 26.14422 33.06685 28.64117
## [2689] 30.88537 23.56182 30.78750 27.62093 30.60576 31.52234 24.64630 24.92196
## [2697] 26.75788 36.17237 30.70148 35.13155 14.38261 28.65468 34.52456 28.88930
## [2705] 17.64712 32.97912 30.58300 27.26564 24.12672 28.91184 30.78490 31.08937
## [2713] 21.39675 27.85932 26.29804 30.96533 30.80673 27.05934 31.91803 30.11618
## [2721] 35.89277 30.55751 32.26627 28.20586 24.79164 33.38299 35.73614 26.47290
## [2729] 39.02872 28.09559 27.21694 22.53407 25.67257 31.72066 46.86223 30.88779
## [2737] 30.63286 29.25028 31.41706 39.57541 35.86635 30.14920 20.29841 32.45482
## [2745] 29.58604 36.24680 30.40274 32.15026 31.76476 34.94424 26.26909 26.43648
## [2753] 34.87058 37.23791 29.13893 28.39834 27.91243 29.89431 29.64999 23.25439
## [2761] 28.28091 30.90908 30.42086 24.37422 29.21501 27.75220 19.67467 29.05594
## [2769] 30.62695 26.04974 19.83871 34.82203 23.13059 27.43315 30.63116 24.54073
## [2777] 34.90482 30.36677 30.20472 33.98874 28.72543 33.15508 31.28294 27.56504
## [2785] 31.26711 33.02254 35.35393 19.42621 34.87905 30.03283 31.75452 20.70868
## [2793] 29.64217 33.94191 34.35720 31.08666 28.11222 30.96967 19.53234 22.01532
## [2801] 32.81758 26.28484 27.35514 34.90209 27.56984 37.41326 26.61071 32.77877
## [2809] 33.46804 32.68311 29.63249 29.25892 25.81917 33.82485 29.80478 20.22440
## [2817] 26.92994 20.69164 25.41149 35.33560 30.40185 38.93231 23.58105 34.16448
## [2825] 28.39863 31.31589 35.64268 28.32793 30.51161 28.72444 33.04065 42.70224
## [2833] 34.13496 29.99553 27.35919 33.25873 33.30970 30.02295 24.99078 26.58575
## [2841] 29.37119 30.15314 35.54942 36.90493 29.03664 23.69040 31.79393 29.34894
## [2849] 24.29547 23.28771 23.33175 23.72778 23.56320 28.34017 35.53278 28.31251
## [2857] 26.95576 32.78223 26.87462 21.20495 23.42592 34.73688 15.96377 23.72146
## [2865] 20.10904 32.17912 28.66344 31.64390 32.28931 24.39380 27.58599 27.83851
## [2873] 27.21708 27.98964 34.22472 28.85651 35.24047 22.59204 29.97655 29.96427
## [2881] 29.51532 23.94725 29.90142 31.43280 39.62537 34.99451 25.91371 34.30614
## [2889] 25.88428 30.96678 29.97611 29.96743 28.28493 30.65839 29.03243 32.72799
## [2897] 17.62455 25.04461 30.08498 33.09831 28.59501 24.87867 27.90160 29.79021
## [2905] 35.07202 37.44049 33.70550 25.13247 23.49918 29.07671 29.30655 30.79125
## [2913] 28.72637 32.39616 25.97976 32.11811 33.18008 32.62578 31.66248 25.80269
## [2921] 32.29678 24.74609 35.77607 33.06718 25.60864 33.86582 21.23806 33.82717
## [2929] 33.83875 23.24132 38.24264 14.59680 27.02360 33.10028 35.30078 35.83952
## [2937] 19.57924 26.75533 24.75136 24.01737 25.76338 24.39771 30.38752 38.45411
## [2945] 33.05632 30.93454 28.85057 34.52935 22.49450 27.23604 33.54903 41.87011
## [2953] 29.39154 32.18741 31.93166 35.48551 25.83599 33.75986 28.62724 35.27153
## [2961] 28.99659 26.60126 27.83184 28.24426 27.33459 29.59412 40.06751 37.39206
## [2969] 23.35758 31.15304 36.94098 29.70716 28.25759 19.27204 28.71090 28.86277
## [2977] 28.79984 27.01816 22.40946 31.12188 26.73931 28.55431 29.30400 30.32734
## [2985] 25.43381 24.84022 29.83004 28.37884 26.98105 32.35393 26.41487 28.13352
## [2993] 25.69197 32.22939 31.60297 36.81652 31.93553 28.32419 28.04496 34.36863
## [3001] 34.58089 24.94768 31.90795 32.05667 35.53309 45.95684 24.58095 23.78994
## [3009] 23.95888 35.13922 30.12989 32.29154 30.54795 38.76971 35.77445 33.86737
## [3017] 35.86733 37.59980 25.23091 39.44147 33.07665 30.67228 27.03804 35.02910
## [3025] 28.48629 30.40952 27.92814 33.11046 16.30626 31.21426 33.13160 30.28205
## [3033] 24.61643 31.20571 32.71778 27.49022 29.35327 39.08934 43.08847 25.66617
## [3041] 31.07051 29.52600 29.50059 31.60130 23.65484 30.40443 32.81181 36.73082
## [3049] 29.54903 28.64456 30.93253 35.81569 32.29022 22.57390 27.44796 25.60534
## [3057] 30.97425 35.77173 21.42310 26.69011 36.40988 23.77637 28.16297 36.47251
## [3065] 27.55141 28.44302 31.10185 25.98136 32.20979 19.10557 31.05827 30.68060
## [3073] 30.74525 25.64404 31.64170 35.30529 39.94104 31.93244 27.61717 29.44371
## [3081] 31.49293 34.55637 35.84811 23.15088 33.82831 31.51759 29.21680 36.68061
## [3089] 19.63333 24.90956 29.15598 25.24897 35.19435 32.71165 26.74070 30.85926
## [3097] 35.15052 36.47026 34.92605 26.25643 22.50272 27.80282 23.94422 32.93753
## [3105] 35.25529 29.68366 35.92809 14.20028 23.17282 32.30512 33.20472 26.16411
## [3113] 32.53173 24.36797 26.16270 26.17284 26.17328 26.09650 30.41562 20.59735
## [3121] 23.62696 31.92105 33.81524 30.26513 16.07580 38.74782 28.36016 27.71364
## [3129] 27.17131 29.14779 30.16723 18.32769 29.33388 28.24308 26.09341 32.59537
## [3137] 23.13989 28.34204 30.36041 29.31635 33.29291 30.19563 24.27966 24.97925
## [3145] 33.71966 28.58097 30.54410 29.94911 22.60954 24.65200 40.63182 25.60470
## [3153] 18.63915 27.79443 23.70523 28.99644 27.59825 32.13670 24.32785 30.51470
## [3161] 23.29976 25.96440 30.69487 17.56475 26.09673 33.30403 31.42514 25.27008
## [3169] 25.48151 23.00486 34.99457 22.58451 29.99762 28.68984 25.13418 35.29793
## [3177] 36.21734 29.21347 33.37555 31.56138 22.71780 25.44346 21.90838 36.30796
## [3185] 29.92712 25.45038 27.89380 30.22199 31.03939 34.58096 27.97018 32.53848
## [3193] 26.30070 32.26168 22.15732 27.51108 22.88889 25.90091 31.65445 29.00757
## [3201] 26.60504 25.95834 30.39086 26.59081 24.14582 31.14782 32.35362 37.51244
## [3209] 32.72607 28.19445 39.21009 29.26786 32.02741 26.84274 26.90405 32.34513
## [3217] 42.70745 24.89947 29.27680 30.65729 31.64078 28.72231 30.72959 24.70057
## [3225] 29.88894 23.91242 31.64019 34.10737 28.81002 21.54817 29.26412 28.18420
## [3233] 26.96282 31.49664 27.75866 21.41815 31.68019 40.90308 29.15849 31.03042
## [3241] 29.08187 34.39833 28.24483 32.59765 26.67864 19.63562 27.68109 29.13048
## [3249] 26.57823 28.32873 31.13162 33.45818 31.95514 35.50294 34.12804 30.36676
## [3257] 22.20577 26.12853 33.44849 26.15506 32.24767 34.04302 28.48417 30.00883
## [3265] 36.96196 36.67644 23.59733 29.20032 36.51211 32.14504 28.09921 30.14627
## [3273] 33.77431 30.51775 30.56300 26.03248 27.79149 38.76287 29.86163 29.51836
## [3281] 30.82114 38.53080 36.11219 26.84679 27.21272 22.72835 34.31404 29.96665
## [3289] 37.53793 27.29649 31.78355 27.82559 23.79612 34.79779 25.62827 30.12917
## [3297] 34.94780 27.80022 23.81069 38.18341 14.75998 24.34072 25.80225 27.25255
## [3305] 26.35541 25.54148 29.37216 30.32609 32.93439 33.59761 24.06079 24.91266
## [3313] 26.43680 35.67260 21.36186 29.28853 36.24757 25.19220 33.02597 24.79485
## [3321] 26.46648 35.18876 35.86957 24.79765 27.09323 34.21416 29.03401 33.56322
## [3329] 29.23608 26.43299 31.53302 27.93609 30.45101 37.42987 28.98392 37.36479
## [3337] 24.18719 29.93373 28.70053 26.98732 31.24681 34.88332 29.39343 36.51726
## [3345] 30.14724 30.97057 36.56576 29.52231 32.47973 27.83988 24.94628 27.20682
## [3353] 32.17979 27.55775 33.26295 24.77578 29.32106 27.17676 25.28372 26.82671
## [3361] 38.85212 30.74819 34.76284 26.97815 30.63724 31.77902 36.14171 27.21343
## [3369] 31.76289 30.18742 24.04556 23.31859 34.27083 30.36540 31.19430 27.96592
## [3377] 26.96896 32.63021 31.01788 34.23106 26.57306 30.77206 33.13108 25.61249
## [3385] 21.61755 29.93300 29.23054 41.73367 35.16554 29.14739 22.93867 38.01437
## [3393] 28.90161 33.67434 38.34375 37.94906 37.99508 20.64830 35.06050 22.08152
## [3401] 31.36214 27.52367 29.14231 24.31750 33.09651 34.74575 27.53827 23.28820
## [3409] 29.98415 27.98617 44.95000 31.68138 30.49456 31.64606 31.67977 34.90936
## [3417] 28.35806 28.09819 29.65873 26.64004 27.42510 38.07672 25.59659 32.77358
## [3425] 41.26794 29.59140 31.97470 30.09022 30.54934 32.37206 21.10290 35.56723
## [3433] 33.56821 26.63443 23.28985 34.59018 26.83643 28.19255 29.99632 26.50437
## [3441] 39.05141 37.69910 33.96972 32.07632 22.80861 26.60287 27.73303 32.00715
## [3449] 27.14415 29.56154 33.49854 41.30218 34.23249 30.10832 28.94027 28.39125
## [3457] 28.87629 27.76430 40.79585 39.17901 30.94825 35.25343 22.24275 26.10706
## [3465] 26.58990 24.44520 32.55880 27.73191 31.83610 23.17929 28.41922 33.01928
## [3473] 32.58425 24.97631 30.88639 24.16360 23.38641 28.60681 41.22630 27.92717
## [3481] 26.62727 24.39881 31.28938 35.21209 33.47094 31.18846 32.54164 31.75331
## [3489] 30.08819 22.88829 27.43437 25.11823 26.31377 30.76362 33.19624 20.08681
## [3497] 34.28510 24.43846 36.59997 37.52301 34.42746 25.80239 27.83643 31.98090
## [3505] 30.72953 21.21916 35.66894 31.52099 29.90895 23.22424 41.80156 30.53667
## [3513] 32.35217 33.40573 29.19537 31.35928 29.37451 24.91890 40.11849 35.69014
## [3521] 24.74536 21.66097 27.85876 27.31140 24.28455 26.90765 29.68001 30.40286
## [3529] 27.07808 24.21779 26.50459 30.81119 22.67143 30.77271 32.92379 27.41688
## [3537] 29.99271 26.90348 31.36958 34.08963 32.12438 35.41665 38.04779 19.91384
## [3545] 28.75816 27.78764 36.18854 22.30475 26.32295 39.46494 32.56892 23.26253
## [3553] 31.30133 27.55745 23.10489 25.50129 32.21837 32.42814 28.30523 29.08724
## [3561] 25.27833 34.41758 30.64176 35.18431 32.80375 35.51770 30.27656 37.70544
## [3569] 27.76154 35.37802 28.05752 29.96655 30.34850 34.83333 38.69233 27.98069
## [3577] 25.72921 27.47743 27.54333 29.30821 31.14495 30.82262 29.84640 25.95593
## [3585] 31.96531 25.86588 25.56017 29.21761 29.64699 34.41065 24.08714 22.88450
## [3593] 30.83403 36.37077 26.66714 23.09279 28.91132 31.69675 26.65898 35.35701
## [3601] 38.61288 24.08446 29.50775 33.21936 33.15922 29.71284 23.38924 25.76870
## [3609] 33.62247 25.58352 27.87748 29.62622 37.34174 36.44762 34.08236 24.01587
## [3617] 33.71346 29.64885 33.56354 23.37572 35.94966 22.92594 36.01324 30.53024
## [3625] 32.39523 32.82586 37.75034 41.00061 29.95694 28.62275 27.16483 30.37173
## [3633] 22.12420 29.13544 35.81247 27.65609 25.22542 32.49423 28.62970 32.82289
## [3641] 28.90224 33.57899 32.40416 39.52816 31.88069 33.10910 29.60051 29.34365
## [3649] 26.31247 33.87310 33.19869 20.10284 35.67579 31.25700 26.41780 30.22522
## [3657] 33.91348 38.44475 29.58068 32.63110 37.58809 25.28331 28.18627 25.05557
## [3665] 31.60449 36.07644 35.12700 29.76472 33.56975 32.37035 22.58980 24.91324
## [3673] 31.06592 29.63970 30.11327 25.74808 30.43832 27.99453 24.05483 24.32765
## [3681] 28.94549 29.77569 35.89013 31.31991 29.42448 31.23172 26.26684 29.05682
## [3689] 30.58449 29.40612 32.29246 24.14869 36.31577 37.61348 34.03378 31.63377
## [3697] 32.79713 28.44163 34.02165 27.78666 35.95541 30.84932 27.85521 23.95193
## [3705] 23.91014 29.62790 36.00769 26.11248 28.83410 36.23280 32.99783 23.85249
## [3713] 31.70470 30.93917 39.44920 24.40134 22.76091 26.35429 25.83360 25.66842
## [3721] 31.97933 24.87928 26.71984 29.86107 30.24031 28.32755 18.12935 23.55668
## [3729] 42.88460 30.46034 31.54560 26.00320 28.69297 27.75275 27.93277 27.45035
## [3737] 31.04862 28.58274 31.38249 24.31471 42.77997 31.35870 26.00881 36.27324
## [3745] 31.93354 32.09470 32.27266 38.41724 21.75027 29.62675 27.67294 30.05602
## [3753] 25.60940 27.51193 29.33162 29.20275 40.89806 22.86193 41.86875 35.57484
## [3761] 34.72598 33.33171 32.17425 25.86932 29.24933 22.56277 26.34895 24.28498
## [3769] 30.91624 35.54411 27.54187 29.00169 34.27270 29.85220 38.15346 31.28091
## [3777] 28.37762 38.62344 23.89087 22.70216 28.92280 37.56745 34.97413 31.30564
## [3785] 27.54426 31.52313 32.58609 35.60634 37.02795 29.14506 27.25280 33.50097
## [3793] 26.03543 25.42473 30.99708 32.04073 32.74709 32.03097 27.36685 37.23473
## [3801] 27.48204 32.85002 22.53256 27.52085 24.63139 36.55841 35.90592 26.98629
## [3809] 24.13601 31.48155 32.33616 35.87698 30.36252 26.32117 34.48396 34.83254
## [3817] 36.87669 37.79748 25.53662 23.86956 23.98927 27.90693 33.32788 24.46947
## [3825] 20.25976 30.77750 29.74213 32.67900 33.42324 23.81116 19.52132 23.57054
## [3833] 22.36640 32.87745 31.20857 28.64358 17.29662 30.50589 36.89494 26.60799
## [3841] 27.65768 24.77966 39.37710 30.30564 27.10614 31.82672 26.20794 25.01147
## [3849] 27.86551 29.70633 30.72023 33.75515 24.46985 32.16831 39.68477 32.04311
## [3857] 26.70260 34.57222 28.65565 35.23980 25.62935 24.04403 33.12504 31.25708
## [3865] 28.02046 35.72991 34.48420 28.92776 24.42257 27.18448 16.65241 26.63496
## [3873] 31.59730 32.13383 24.33602 28.75087 25.34309 27.37829 28.17611 31.87586
## [3881] 37.58980 28.78715 30.09311 42.65329 29.99651 33.67970 20.61388 27.73944
## [3889] 31.15922 25.50778 32.54311 28.94474 30.34263 33.77770 34.55910 31.24624
## [3897] 21.91169 31.38274 26.90571 22.38775 28.37950 32.54864 33.66514 28.53716
## [3905] 32.69389 23.48083 31.09655 27.70096 32.87777 28.67555 27.59765 32.68592
## [3913] 27.19953 25.48787 26.53979 33.66739 31.45847 30.41745 33.29283 36.98016
## [3921] 27.90788 33.39213 34.58790 30.41472 37.01284 31.58057 31.14103 33.19550
## [3929] 27.74683 27.43021 18.67051 28.68569 22.70134 19.85670 29.13470 27.01253
## [3937] 24.93010 25.99914 28.93110 29.98807 38.33373 26.99942 26.53023 36.54346
## [3945] 27.91333 30.09679 26.21462 24.49326 27.81834 25.88864 27.39930 28.66776
## [3953] 24.65165 38.43379 34.18280 30.27783 27.72988 33.76353 28.26694 25.70502
## [3961] 38.61717 28.93249 29.91800 29.20096 26.93181 29.95563 22.30183 30.62674
## [3969] 32.03449 27.54034 27.84074 41.52214 25.72859 29.43932 21.26995 31.87502
## [3977] 31.41422 28.70652 24.14284 34.86451 37.92526 30.69561 29.85448 35.11087
## [3985] 28.02618 27.45206 33.68764 35.21154 18.86409 30.52670 32.59568 25.86661
## [3993] 33.25031 31.23903 25.51620 26.55954 36.86568 29.41769 33.27171 35.22160
## [4001] 34.72127 25.88756 32.34292 41.37804 31.28045 28.09854 33.27839 22.99356
## [4009] 36.29368 28.17974 20.61309 33.57415 29.40638 37.62422 29.22279 33.76868
## [4017] 30.82023 26.64852 33.91272 29.75698 29.21234 28.41080 23.91555 31.66066
## [4025] 22.61524 27.12780 37.09104 21.61208 28.81384 33.62069 35.61039 27.99322
## [4033] 36.44219 35.32870 29.42435 25.79688 23.98440 23.12383 29.69884 31.97867
## [4041] 31.80848 37.32013 30.04587 37.40313 35.71667 33.33456 22.54093 22.36088
## [4049] 30.69833 27.63907 29.69757 33.94323 28.97312 37.03486 33.32060 25.40155
## [4057] 28.56868 22.94204 35.84359 28.86697 26.61805 33.41059 25.65023 29.02993
## [4065] 32.00441 29.10440 23.60412 33.99939 23.17479 22.58463 30.83620 27.53544
## [4073] 31.13718 25.65785 26.21464 23.48393 32.62365 37.38254 24.61868 32.21214
## [4081] 23.99869 27.40595 31.15237 26.87475 29.01674 30.04014 31.64125 26.03274
## [4089] 30.80698 32.15135 26.09769 30.12615 31.61835 32.32307 31.33110 27.37885
## [4097] 31.57328 29.18406 31.88425 29.26168 30.95080 30.78189 30.48715 35.30696
## [4105] 27.86299 31.40951 35.31776 24.09755 17.61576 34.52657 38.59230 30.53635
## [4113] 31.72533 29.50662 31.75173 35.55156 28.77803 42.46632 31.53327 36.45851
## [4121] 28.16194 32.11407 25.96391 36.84717 23.68451 27.48149 38.84038 29.64801
## [4129] 32.80481 33.97369 28.67813 26.04367 19.41682 35.32112 27.41653 22.08129
## [4137] 28.05895 39.90470 21.83869 29.75844 25.16287 27.78657 34.71137 29.03523
## [4145] 22.21713 40.09943 30.71499 30.19883 26.10922 31.82299 36.47646 35.06052
## [4153] 22.95662 32.36526 20.47865 38.01666 29.82634 29.58323 28.51395 37.59051
## [4161] 20.49329 28.63605 36.64522 26.85132 23.91672 39.95090 20.96381 30.05310
## [4169] 22.14685 26.98115 30.75563 27.43718 32.89148 29.05941 36.46202 24.52725
## [4177] 33.80480 31.58975 26.02645 25.12833 30.82118 19.87912 35.36608 29.85415
## [4185] 29.74446 23.66398 28.17476 28.92138 37.23945 19.42124 27.00136 36.43935
## [4193] 24.42300 31.29173 40.69977 45.84931 31.84727 28.51896 30.34289 34.48759
## [4201] 27.51051 32.98191 19.27326 29.58695 34.00286 36.12705 33.22219 29.31568
## [4209] 27.09987 30.19203 26.27648 25.67179 25.75464 30.51346 21.63925 31.62951
## [4217] 26.59248 32.29397 31.73780 24.64140 29.96308 26.17496 28.06896 30.66843
## [4225] 32.66073 30.13898 33.14801 25.67335 28.67125 34.10383 28.74265 28.96963
## [4233] 37.97328 29.19950 31.64695 33.49021 27.48852 32.99833 31.02787 29.99228
## [4241] 31.22616 29.60797 29.82017 33.66038 32.14032 27.12085 30.98308 32.54062
## [4249] 39.45070 30.17945 34.05335 33.73983 20.70531 28.31281 40.34766 28.97247
## [4257] 35.37487 27.87475 25.15539 28.25788 22.95680 27.07229 29.41708 28.54164
## [4265] 25.64661 26.74012 27.18561 34.63698 33.01653 24.66279 24.81164 30.77941
## [4273] 37.93859 28.26014 30.64610 23.26568 24.13466 23.45906 23.83852 38.94198
## [4281] 32.96930 22.71123 29.80966 25.81164 31.60793 28.46352 25.78940 25.13388
## [4289] 30.40800 38.24913 30.62908 28.07475 26.10513 28.61186 21.66553 29.80360
## [4297] 24.86626 23.48034 30.67368 35.21132 40.19480 27.01074 25.80794 36.13958
## [4305] 24.16995 34.77536 31.37621 30.49050 32.24040 22.83298 17.69913 26.29128
## [4313] 27.08495 24.38670 39.49348 32.67939 33.05052 23.27007 35.02217 30.92436
## [4321] 24.93439 31.77025 31.37524 24.62229 21.77153 27.56864 33.08701 28.01871
## [4329] 30.87648 23.53610 21.65067 32.50554 26.35192 36.93258 32.96094 27.21175
## [4337] 27.24906 31.88917 32.52999 32.84645 28.86897 34.54374 30.53585 34.24983
## [4345] 26.99790 33.83372 21.56187 33.87122 32.89867 22.57126 32.07257 27.52186
## [4353] 31.30842 27.99236 25.26621 35.30376 24.78478 29.59641 36.54939 37.75855
## [4361] 23.97126 31.09393 21.16763 36.17296 40.28659 30.80007 25.92982 32.16282
## [4369] 31.12623 31.96669 36.26019 35.67473 33.22313 29.89148 31.27364 22.26887
## [4377] 34.20275 32.53346 27.07829 30.84352 29.81437 24.79471 27.78783 35.08799
## [4385] 29.49167 27.87022 39.04044 38.62553 33.38765 32.97662 32.86833 29.84240
## [4393] 34.81704 25.47725 29.18735 28.77414 32.94079 24.93234 26.10303 27.53991
## [4401] 41.09404 29.01151 38.17063 27.87714 35.93405 26.35815 21.51164 32.76323
## [4409] 30.56606 26.79009 25.41188 23.74046 28.21229 28.97090 23.12062 34.92905
## [4417] 20.39069 26.27551 28.40252 38.55294 25.80047 29.51657 28.13875 30.93697
## [4425] 35.30230 32.11833 27.65106 31.77544 27.52300 34.10925 36.02004 25.35459
## [4433] 28.53019 24.34611 27.20169 21.99386 28.55405 27.91935 23.75930 28.59599
## [4441] 30.82701 39.01328 21.34045 25.59011 38.06097 37.61871 30.97412 34.64358
## [4449] 30.28301 25.01919 39.39913 29.41125 38.49836 29.95980 30.61179 34.33427
## [4457] 15.64698 33.52515 27.37541 29.58336 32.69606 33.28293 28.25827 30.45992
## [4465] 37.69909 29.83831 25.83234 35.48841 30.45678 36.52659 27.26858 38.60970
## [4473] 26.02040 32.70020 36.57380 29.17873 26.60601 39.02188 25.73472 29.12581
## [4481] 22.50201 27.88870 26.21786 28.97720 32.75706 29.24400 19.63125 29.20936
## [4489] 29.97055 29.60868 25.75612 21.02557 28.90880 24.43002 22.21014 33.74005
## [4497] 36.46434 31.83622 26.22698 31.17475 30.98398 31.82466 37.97887 26.58153
## [4505] 38.35774 24.66290 31.95857 28.44151 35.05652 32.95065 42.24345 39.36932
## [4513] 29.69296 33.42515 23.75301 31.63905 37.68731 26.19011 21.54623 34.61276
## [4521] 29.18804 30.96318 32.35368 28.48801 32.22786 34.88136 36.69643 32.22609
## [4529] 29.37066 30.18571 34.42221 36.94984 33.77979 25.47379 34.44926 29.09163
## [4537] 27.75166 29.53153 23.47435 33.06864 25.19041 38.18702 33.31046 22.94118
## [4545] 27.82165 33.07727 32.79830 33.19964 28.75206 43.29363 28.91289 30.60991
## [4553] 20.46756 20.92634 25.04269 34.03955 33.36191 35.14083 36.05379 29.49515
## [4561] 29.96075 17.74187 20.04159 30.68500 30.46669 33.12502 30.23623 23.96046
## [4569] 34.40921 37.08384 29.82101 34.11589 30.84042 29.69838 32.71709 30.25812
## [4577] 43.65703 28.38866 44.09309 29.73922 35.62293 28.93989 27.35911 21.50423
## [4585] 23.45354 29.53344 26.58983 34.14756 25.98080 32.56878 27.05322 35.87496
## [4593] 28.45342 20.76176 31.84535 33.40185 27.63835 28.75998 26.78289 38.01794
## [4601] 38.94045 25.09714 35.01141 24.19226 36.82211 36.18761 36.26951 28.17651
## [4609] 27.15633 23.97262 31.82713 35.81428 26.74551 17.81664 29.39693 30.81903
## [4617] 31.61640 21.17286 31.73037 35.25735 23.93812 31.83786 27.39824 32.97682
## [4625] 31.44083 32.40334 36.25427 21.83327 29.21457 32.23545 28.03254 24.33984
## [4633] 30.69227 30.52475 29.06032 25.02071 29.25601 25.84844 25.84072 26.86375
## [4641] 29.92893 32.39868 26.99514 31.90689 35.90059 27.35557 26.88520 30.95745
## [4649] 24.85856 34.65640 20.51687 29.11279 29.05272 28.83952 40.95864 27.81827
## [4657] 29.66117 30.84413 38.38828 26.67621 27.55437 35.12237 29.22431 28.43382
## [4665] 28.08778 29.81720 42.07618 25.30520 27.68008 21.90914 28.26583 31.32151
## [4673] 33.87278 18.95288 32.16908 38.16312 34.31059 28.40925 31.47387 30.22343
## [4681] 27.65787 32.35062 41.70623 37.70404 28.00949 27.75749 26.73781 33.83025
## [4689] 40.46405 30.16421 27.03584 26.84789 32.99624 36.60354 36.54263 36.72012
## [4697] 26.22100 31.45385 34.54166 28.15622 36.14174 30.36814 28.00055 33.84562
## [4705] 22.39172 28.11338 25.45123 25.38575 35.91854 30.47669 36.35428 36.86474
## [4713] 27.62513 38.20186 28.53311 36.05107 35.89872 28.18208 31.58728 31.23924
## [4721] 25.12897 25.14588 28.79033 32.69646 26.47216 28.50015 19.19572 28.87844
## [4729] 19.61604 33.30618 25.43861 28.75362 44.55616 34.16512 27.07108 31.42240
## [4737] 37.20806 25.81550 28.09894 32.38510 30.98231 18.76218 35.92025 33.69298
## [4745] 27.50840 29.30764 24.18180 34.37041 30.51337 25.79460 31.57795 23.43410
## [4753] 33.75312 25.95352 22.86064 25.12897 28.94557 30.40843 28.60142 25.24887
## [4761] 24.61519 26.28712 25.04999 31.01764 28.45094 32.21343 28.47024 26.34023
## [4769] 24.56724 29.35130 23.56896 30.61054 21.22044 33.93229 22.14648 35.71105
## [4777] 29.93390 27.62765 31.48746 26.41602 33.27779 37.38136 36.13480 38.81515
## [4785] 35.92840 30.85592 32.72279 32.40159 34.77547 28.84609 33.22748 31.06390
## [4793] 32.07887 29.53298 34.41716 35.01148 32.15231 35.94122 29.57617 13.17199
## [4801] 29.29398 30.66440 31.18363 28.58685 19.07969 35.42499 29.09352 24.28136
## [4809] 34.02779 34.58324 20.80567 25.93744 37.65243 29.94107 36.52126 40.29399
## [4817] 29.11465 28.54954 30.27308 26.33791 24.73436 28.43889 38.95626 35.13688
## [4825] 27.31238 27.04116 27.47731 30.79943 25.86138 24.60739 24.70156 33.40800
## [4833] 20.99232 35.24796 37.59912 32.61089 28.57141 30.52716 26.01717 26.55848
## [4841] 30.22537 30.31355 26.49769 32.00072 29.15620 27.51418 39.93397 20.46619
## [4849] 27.02277 29.90153 31.61510 22.05156 37.38880 26.03470 30.65272 35.86728
## [4857] 34.51037 22.75539 32.18667 30.84932 37.46671 29.01733 25.82758 36.84778
## [4865] 39.49458 28.20107 31.05664 35.62315 18.57909 34.58584 29.83040 25.82744
## [4873] 31.18298 38.48558 36.01619 26.26433 36.89651 37.65702 29.14607 28.55849
## [4881] 30.32788 34.51363 34.93955 34.62222 33.01218 31.68841 33.41091 32.24675
## [4889] 28.45593 31.40872 35.47490 29.37365 20.02085 28.60391 24.76302 30.71290
## [4897] 28.78688 35.06062 31.46517 24.60952 28.94131 23.21924 35.24259 18.92524
## [4905] 32.43441 27.20277 26.53750 37.25580 22.63589 28.86214 29.49408 29.97180
## [4913] 22.47801 30.76560 27.98553 34.20876 24.59585 35.09542 25.73932 29.36671
## [4921] 29.67242 25.97433 25.32056 28.24798 31.28127 34.92275 23.35319 31.28490
## [4929] 24.14001 35.55003 30.57687 25.88019 40.30586 28.15953 30.45564 27.04991
## [4937] 30.83488 26.67928 25.95360 33.04432 26.74813 35.68135 31.16118 31.76582
## [4945] 25.01611 27.17751 30.40903 28.39789 29.94392 25.45865 28.70763 30.26467
## [4953] 28.40184 40.45632 36.98819 27.02526 32.21108 30.76674 26.61918 36.41554
## [4961] 33.13637 39.03474 26.96719 42.88761 29.41120 28.25770 36.86875 22.45421
## [4969] 31.01184 28.37680 34.40023 25.29195 27.33880 28.08099 40.40339 28.55687
## [4977] 32.32966 29.83728 40.14975 31.01652 27.91940 38.39644 28.47503 28.89476
## [4985] 32.27823 42.88618 34.75479 31.39020 33.14971 27.43852 32.79344 37.28327
## [4993] 31.02491 35.31089 23.94504 29.98098 40.09421 29.11621 27.09212 26.42823
## [5001] 34.36363 29.12259 27.18093 36.18128 29.34034 34.03158 24.49442 28.88394
## [5009] 30.16641 24.05354 32.33614 30.60415 26.58233 34.74424 30.46814 37.24061
## [5017] 29.32741 31.98319 24.34617 29.74067 30.49372 35.11393 29.86945 29.76088
## [5025] 35.08666 26.20513 30.55396 26.70198 31.26139 21.93026 31.44784 27.00100
## [5033] 32.99948 30.70100 30.73302 29.69056 29.06554 30.38832 38.18975 36.68280
## [5041] 33.93171 30.44443 22.49840 23.23689 31.30238 25.59984 25.35610 33.55383
## [5049] 28.67800 28.57941 31.26006 27.51030 31.25331 25.48219 29.37922 32.30397
## [5057] 26.19028 38.34064 34.51342 32.94622 36.55919 26.82244 32.37603 34.56052
## [5065] 39.76921 28.27292 27.88419 32.64114 26.98020 34.61864 24.87849 31.03744
## [5073] 39.54046 26.99909 39.55047 29.28281 34.32228 27.54230 21.26874 27.81849
## [5081] 31.81619 33.86472 31.36886 31.55673 24.34441 27.97918 27.95721 27.58586
## [5089] 34.57725 29.61942 25.72142 26.40453 30.86381 31.40661 32.84220 32.41584
## [5097] 36.41649 25.00770 32.76141 28.39833 37.91151 35.70059 26.87394 25.71565
## [5105] 30.20790 23.44989 34.36115 31.24817 29.74012 32.61188 30.98394 26.71079
## [5113] 30.46998 31.84968 24.88458 31.23438 26.55593 37.96825 35.84509 31.37680
## [5121] 34.32393 25.27114 27.74671 25.53951 29.35024 31.27261 29.72963 32.92118
## [5129] 33.63666 31.76577 22.36381 27.63204 29.45263 27.60528 27.89300 25.87070
## [5137] 31.56653 33.31098 26.96617 18.59071 23.41344 33.43218 23.89544 39.90785
## [5145] 24.82408 32.77569 20.39473 28.99788 14.22487 35.20786 34.49219 28.37810
## [5153] 31.44531 32.64783 25.50319 27.51863 27.34924 25.07540 31.51315 31.69941
## [5161] 23.84382 31.67652 34.23677 39.91542 26.54875 32.56728 34.11318 26.77128
## [5169] 29.84463 31.76691 29.15493 32.19929 34.63249 40.54312 32.38758 33.44214
## [5177] 24.71538 35.39012 26.54650 20.36012 33.45768 28.43687 34.29539 21.62492
## [5185] 34.46328 28.33290 30.62762 29.71776 39.34167 32.23055 22.78078 31.82767
## [5193] 28.52064 31.88650 23.92386 28.49229 29.71135 33.21077 32.53560 29.27522
## [5201] 27.40045 34.51412 25.45849 33.11121 37.13594 20.80782 33.90030 34.86927
## [5209] 37.73663 39.55956 33.00941 23.51262 27.85436 33.41392 34.89989 27.84095
## [5217] 34.58996 22.91629 26.67101 29.83901 30.22460 41.98397 32.57982 34.09689
## [5225] 30.93801 33.04573 33.56637 22.31883 28.94998 31.74554 27.85826 30.64531
## [5233] 34.25447 28.48156 31.16820 32.81903 35.38495 28.98695 28.91613 37.34257
## [5241] 30.56194 40.70447 26.11357 38.00667 36.59966 19.06314 22.60867 30.73600
## [5249] 34.42611 27.45320 31.10561 22.98553 22.99346 26.45838 30.65435 26.90182
## [5257] 36.52814 21.55927 27.79683 33.17376 31.73108 21.43169 40.28571 30.48296
## [5265] 36.37202 19.83565 27.94917 28.20725 21.18488 28.45545 33.85157 32.29910
## [5273] 35.67028 24.53179 31.72027 33.57284 22.72487 30.10191 40.38765 33.53300
## [5281] 20.89842 35.27605 35.79052 29.04343 31.33556 21.09879 29.04146 32.08000
## [5289] 27.21108 23.66154 29.64436 24.15482 31.42259 24.13983 33.48934 30.12548
## [5297] 25.87827 33.22961 38.15952 29.47640 32.16979 32.77427 25.45122 27.47412
## [5305] 30.27280 23.86517 32.11650 26.48483 22.75546 27.02681 24.54436 35.95647
## [5313] 18.20878 37.22328 28.94409 28.45688 34.73295 36.20490 32.42076 34.78012
## [5321] 32.30587 26.60682 17.13952 31.14867 29.35716 34.48555 33.62596 26.52184
## [5329] 28.76591 35.22360 26.07157 24.24926 34.75506 33.88414 29.26886 34.76582
## [5337] 29.92190 33.38026 28.24946 27.75336 31.30576 23.34472 24.57074 24.27801
## [5345] 34.54283 30.83263 41.09333 34.63716 29.80636 41.13460 31.35498 38.23991
## [5353] 26.58918 32.67370 26.16885 31.14381 47.35593 25.44511 37.51468 27.18044
## [5361] 26.44346 33.86308 28.36764 36.12408 24.80993 25.43686 15.96937 28.07552
## [5369] 23.12294 29.95188 27.95532 29.59339 25.42755 30.53862 30.23075 23.73440
## [5377] 33.48311 29.40174 39.38587 25.00406 29.47922 34.40642 19.81943 29.50593
## [5385] 28.25510 28.50778 30.79507 30.81281 27.45190 27.45306 34.58199 31.94298
## [5393] 33.55374 28.59112 19.57274 15.26879 29.79969 32.83897 28.20843 23.49929
## [5401] 22.19216 30.33299 30.14605 39.72216 25.56320 27.41314 34.07945 34.48099
## [5409] 32.04060 36.87392 36.18933 23.09716 27.11948 23.06453 35.46227 30.29248
## [5417] 26.72613 23.25098 26.75940 30.42712 32.01336 30.05854 32.52034 34.01159
## [5425] 35.86273 30.10500 27.71518 32.00510 30.90958 24.80869 36.86162 43.76553
## [5433] 26.71920 23.76050 26.92902 29.93327 31.39537 25.91363 35.39678 27.70119
## [5441] 28.89222 25.66564 26.40626 25.82211 33.69419 26.01139 31.65868 33.62019
## [5449] 23.40894 23.41200 30.08753 33.76451 25.59131 34.00519 26.94294 38.84796
## [5457] 30.50934 24.66173 32.85421 17.05256 29.14098 25.77629 31.22566 34.09996
## [5465] 26.34221 29.50393 24.03197 23.47120 24.87275 22.49906 39.55995 27.95795
## [5473] 32.97133 29.33350 36.28818 33.08183 29.11196 21.04325 30.76503 22.97511
## [5481] 37.61402 24.42890 29.08269 29.36395 19.91111 19.13566 28.21487 24.50123
## [5489] 42.69999 22.90456 24.25075 23.92129 29.74193 34.89637 24.89033 35.29658
## [5497] 30.96350 29.56977 38.20796 33.30291 32.59176 24.23196 31.51419 31.47122
## [5505] 37.46712 30.92271 27.71240 31.54760 30.09115 30.04586 30.21224 31.02039
## [5513] 34.29066 40.83475 31.40019 25.91883 31.17190 28.66644 31.38863 32.88138
## [5521] 26.01922 28.05943 34.17487 31.88581 20.64426 27.76620 28.89825 29.20844
## [5529] 22.22502 27.24121 31.43199 47.41371 32.02855 19.55405 33.68492 29.31196
## [5537] 32.65402 27.97980 35.34665 32.68309 23.04598 31.49906 29.44206 32.73827
## [5545] 32.07809 27.72513 30.91687 25.97706 29.12262 28.61160 39.37742 23.96347
## [5553] 28.11092 28.73877 28.84332 25.59977 29.91146 25.53406 27.99516 28.49818
## [5561] 30.18340 34.39554 27.64375 32.80001 36.88979 26.02826 27.26207 38.04572
## [5569] 26.01498 23.40004 28.74269 20.91789 29.52061 22.12770 23.49969 32.85855
## [5577] 25.21746 36.83317 25.84293 28.72833 32.98313 25.79052 26.39703 21.43935
## [5585] 26.47781 24.36850 30.76210 30.48871 25.79253 42.09903 27.38135 34.41753
## [5593] 21.67362 34.40489 29.50524 33.56887 31.71994 32.70291 35.84127 30.82660
## [5601] 26.52308 21.87967 29.79879 20.52332 34.28638 27.31612 37.79512 37.78617
## [5609] 28.21954 36.37725 31.28641 30.25631 29.79238 27.94088 32.39731 27.61953
## [5617] 31.31327 28.39537 24.36832 26.51400 34.58478 33.44793 32.17903 22.34838
## [5625] 32.72183 30.42492 26.41629 36.91811 31.24668 35.90166 36.16029 38.54565
## [5633] 28.81125 36.02383 31.49812 32.69841 29.36917 33.59939 37.01044 37.77899
## [5641] 26.64181 30.24901 29.94333 35.35615 35.65409 26.93462 34.89781 19.68018
## [5649] 27.72251 29.48516 38.29438 30.61168 31.23623 27.27992 21.21685 31.84005
## [5657] 23.50904 28.47267 27.59017 25.12277 42.95954 28.91555 38.58645 39.03460
## [5665] 29.54374 30.66139 31.04250 25.08503 18.63866 32.61743 23.33953 34.40767
## [5673] 28.70027 31.81478 27.77393 32.06046 29.06967 25.47342 35.05885 29.47531
## [5681] 25.69460 30.49303 30.92905 37.34824 27.63074 33.59079 34.08417 28.40432
## [5689] 30.13382 33.59657 28.79352 32.35282 34.76328 25.60376 32.79248 34.99647
## [5697] 36.45573 32.47682 29.94130 32.08648 29.17356 28.43269 25.60843 27.65102
## [5705] 37.25558 43.29228 27.28492 34.75616 35.18527 33.14381 28.97686 26.48098
## [5713] 35.88869 36.98940 26.58707 24.43659 27.90880 28.82777 34.74540 24.05442
## [5721] 20.62785 22.63146 19.88108 22.87162 24.49645 28.01820 30.26889 32.11634
## [5729] 30.56137 34.74350 34.27215 28.58135 25.45958 32.48948 29.42482 30.39167
## [5737] 30.94008 31.01818 30.79176 28.29994 26.02896 38.20737 34.93389 34.59972
## [5745] 26.44718 26.01674 28.01684 27.67896 35.55007 30.17000 29.40273 37.95510
## [5753] 28.35848 38.40133 40.55617 32.74477 30.12818 25.76205 41.83440 17.44866
## [5761] 36.21670 35.18652 27.69794 24.27263 26.83668 39.27776 33.31287 34.92711
## [5769] 41.00981 33.57777 35.76296 29.94597 24.70897 35.96705 29.26382 36.91021
## [5777] 26.73241 34.09629 19.85410 30.59241 34.66285 20.15944 26.04442 28.06112
## [5785] 22.38274 30.47564 32.43764 38.01384 27.85486 29.01592 38.66479 30.38584
## [5793] 33.36844 34.32015 27.75612 16.37685 22.75637 25.28460 24.94221 27.74792
## [5801] 39.61298 26.93917 23.39102 30.33259 24.37788 33.86806 28.18972 33.95907
## [5809] 34.02119 29.49444 27.29834 38.06830 28.78747 29.21877 29.59510 30.63574
## [5817] 20.55930 32.37481 31.11477 36.21787 30.04083 32.84169 33.17014 33.94193
## [5825] 30.71005 34.07804 38.08610 35.96151 27.79087 24.50838 25.42464 30.16596
## [5833] 30.65841 18.00389 29.33418 20.83759 41.81627 34.49274 34.44354 30.55232
## [5841] 21.47367 26.14418 35.12401 30.90891 30.13035 35.82290 19.75958 32.24240
## [5849] 38.49074 31.92406 24.40715 38.17286 30.10451 32.57581 25.29230 23.70195
## [5857] 26.08996 30.62852 32.03821 31.33792 35.85631 32.35270 26.56879 26.65147
## [5865] 25.28035 34.97283 15.07886 25.97938 36.06701 23.30740 30.14041 21.66245
## [5873] 33.06435 30.98886 30.99658 22.74311 18.66309 21.04548 25.26560 31.30152
## [5881] 30.19689 32.31314 31.09118 23.19578 27.29652 35.99778 22.00483 29.32705
## [5889] 29.24297 25.91776 22.92734 18.87048 32.55343 37.03874 29.73377 28.50292
## [5897] 27.67360 37.38604 34.74624 29.45362 27.01299 25.45349 29.26625 25.36605
## [5905] 24.88559 32.46161 27.26317 23.99757 31.12067 26.48568 30.55449 35.17767
## [5913] 31.15958 32.08137 36.52033 36.81807 27.69154 29.27525 26.17263 32.65775
## [5921] 28.07652 22.63865 39.33147 23.58908 31.68002 33.11328 36.91624 23.39896
## [5929] 36.83094 36.57667 26.05512 25.73477 27.76112 28.55464 32.94845 27.29954
## [5937] 36.65498 31.48435 36.90357 23.52477 27.39736 30.75791 34.43811 26.54951
## [5945] 36.70778 32.93576 28.48981 35.60370 34.07531 41.76211 25.62228 30.14166
## [5953] 26.67794 35.56555 27.36378 35.04394 24.55837 33.06004 34.90208 32.74888
## [5961] 27.93931 25.23467 21.58258 32.56631 36.82715 18.82630 32.81152 31.17650
## [5969] 29.84227 31.37018 25.41861 37.28067 33.42077 32.23291 33.36893 33.95847
## [5977] 32.44481 33.24131 32.65117 25.93163 28.69642 23.01711 30.96423 30.44556
## [5985] 31.25972 31.07322 32.63706 28.11553 29.61263 38.88649 30.52073 34.96593
## [5993] 23.32168 30.73323 12.14354 34.35729 23.61747 31.49301 26.65016 24.95129
## [6001] 28.18575 33.73481 24.83029 30.93577 26.66409 23.26308 23.93331 31.89077
## [6009] 29.26296 26.45515 28.90707 27.06603 27.16778 32.41773 35.13468 26.65478
## [6017] 30.82506 34.12894 35.49898 39.55366 24.55902 26.35876 28.55301 30.55946
## [6025] 34.03150 24.42550 32.51737 28.67728 25.22761 27.69802 36.54827 30.36590
## [6033] 19.55449 28.39572 40.55681 23.74465 26.10793 26.42543 28.24788 27.29325
## [6041] 41.10721 34.85987 33.04767 31.35884 32.32003 34.67140 27.21026 34.97301
## [6049] 28.38223 34.75853 27.12263 30.14890 21.73448 22.79684 32.17889 26.59406
## [6057] 24.76239 28.20338 30.17611 34.10356 27.90991 34.31088 39.78578 30.52035
## [6065] 35.79898 30.43852 21.80849 30.62223 36.58152 31.92814 38.86415 11.81531
## [6073] 29.93562 28.03689 39.41867 36.52556 35.40219 35.09149 29.08952 22.70653
## [6081] 29.84265 30.99613 30.67938 27.83042 21.63626 25.97321 31.78574 28.23566
## [6089] 27.45332 30.94092 36.88782 36.46467 22.54366 36.52264 30.99284 28.98253
## [6097] 31.61840 27.70146 35.63547 31.61453 28.62123 30.66334 30.50197 30.81232
## [6105] 27.26807 30.42427 31.74305 26.44508 34.88251 28.08299 23.74479 35.28385
## [6113] 24.77568 31.07543 36.61853 37.83467 29.37049 41.94120 28.68695 24.51246
## [6121] 25.02506 32.74497 20.88356 34.01042 24.53153 30.35685 34.35909 28.94071
## [6129] 30.09301 24.91828 34.84278 28.99197 23.81642 31.97632 20.63534 37.12887
## [6137] 22.86027 25.24741 38.35893 30.86426 26.56043 23.27651 27.26054 21.82927
## [6145] 16.62527 36.51963 28.15702 25.67183 25.41539 19.26539 26.80722 23.75817
## [6153] 17.67670 30.91070 25.54996 35.94383 28.07233 32.98711 26.73095 25.79394
## [6161] 26.99842 27.13599 29.60385 31.17094 27.38949 28.18698 32.35654 30.95083
## [6169] 24.82458 27.54662 34.32799 32.74224 33.31484 37.29130 33.07203 32.63872
## [6177] 29.98225 28.50009 32.21946 31.38198 31.41425 35.98051 27.46715 29.47474
## [6185] 33.07252 23.20452 27.11854 27.07812 30.54786 26.34828 32.91544 36.07006
## [6193] 34.13263 25.79287 36.27085 28.74579 31.76111 25.53054 40.06158 24.79449
## [6201] 42.40920 28.74156 28.93169 34.79678 29.47595 31.37476 34.27502 22.75429
## [6209] 17.04866 27.55035 24.97828 24.88766 33.22066 28.49021 17.73844 37.34819
## [6217] 33.17881 28.13709 22.57445 23.18200 32.44183 27.61685 26.68561 26.57681
## [6225] 26.41276 22.82669 33.31328 33.63421 27.76715 33.89985 31.68234 32.34809
## [6233] 35.56956 30.94096 25.94061 32.46603 29.00122 33.32131 22.80080 29.98679
## [6241] 32.47698 22.92896 20.87455 28.56350 26.66512 30.64338 32.07775 35.33843
## [6249] 29.48582 21.84886 29.97285 37.92101 27.56715 30.37619 35.57146 23.98423
## [6257] 31.31735 25.29273 40.76715 24.41578 41.58950 29.70451 33.64393 32.94769
## [6265] 28.88499 32.08891 37.44673 27.39182 27.99099 37.77228 22.71374 34.75399
## [6273] 31.18716 27.30090 30.16648 25.58158 28.97391 29.07050 33.31369 25.52363
## [6281] 35.09105 27.59629 27.36300 30.91880 41.05294 29.11266 29.06990 35.22815
## [6289] 36.05665 35.15385 28.32351 23.85435 29.09018 37.67575 33.63849 34.77111
## [6297] 30.89564 33.44839 25.99743 37.32701 21.32754 30.97458 32.69047 29.09464
## [6305] 34.84725 24.66294 30.77036 21.13343 32.49713 23.98612 34.55019 34.96222
## [6313] 26.73085 33.10461 30.71995 28.06345 25.76169 33.94255 26.72901 28.22763
## [6321] 37.92981 37.62005 28.17518 27.65345 21.74285 29.76534 30.38135 26.19936
## [6329] 33.76733 26.53306 37.14919 37.29422 32.31980 33.75668 25.25150 23.81217
## [6337] 25.14931 18.55523 32.06441 23.94994 27.47649 21.61723 25.42499 32.22922
## [6345] 26.54817 25.36479 31.49878 31.23536 35.12672 27.45594 25.86593 27.27980
## [6353] 26.52316 23.11564 32.86877 29.29152 26.92492 31.26216 34.94613 35.83122
## [6361] 44.63599 21.99926 37.36763 43.19886 25.61049 25.44345 26.88310 29.39316
## [6369] 28.82221 27.70858 24.45787 34.56230 37.49216 23.82503 22.17709 28.15341
## [6377] 34.77293 29.63148 31.14063 34.59322 27.17322 28.28074 39.01777 27.89256
## [6385] 38.58623 27.32068 35.50523 21.99275 26.51810 31.84612 17.19347 28.62464
## [6393] 38.46852 27.83832 26.82342 33.78637 33.07986 29.57823 24.56106 24.89811
## [6401] 33.33145 34.41152 32.98625 20.14213 28.49511 27.40956 34.51155 25.10206
## [6409] 39.65760 25.34740 28.06447 37.30230 25.25699 39.47396 21.20879 23.36614
## [6417] 36.89612 34.77455 32.65262 21.15338 32.84151 25.75728 24.59479 27.85747
## [6425] 26.21106 16.72615 27.45215 29.87408 33.62766 30.26627 27.69131 29.34692
## [6433] 23.17971 40.48473 22.15764 38.45763 16.72292 33.77192 24.19185 26.18721
## [6441] 27.92381 30.91632 42.52573 30.49167 27.17594 26.05167 35.33861 25.03885
## [6449] 32.20028 26.61058 22.63292 28.80097 30.93930 31.99425 33.99692 29.82490
## [6457] 23.51088 23.42180 29.98455 31.89512 19.82292 34.33137 34.50244 30.35814
## [6465] 35.81651 33.62706 36.19362 27.65096 25.69738 35.32142 32.35680 26.98891
## [6473] 38.63598 26.48178 30.73672 28.78995 31.75898 22.23717 38.61671 26.31900
## [6481] 39.02038 27.64718 32.86358 29.73799 19.26475 29.70673 37.03548 32.80247
## [6489] 34.01562 31.07616 34.50274 25.38544 30.93116 30.93359 29.52609 27.11032
## [6497] 31.97927 31.58972 29.03123 28.15394 33.52523 33.25370 28.61644 19.66934
## [6505] 32.68586 26.20968 31.83386 20.53294 27.97788 30.39409 26.71600 28.10602
## [6513] 24.04588 24.27451 39.17579 29.65472 26.47984 34.98183 34.02249 34.72210
## [6521] 31.32613 28.94114 30.44045 22.46076 34.54586 25.64022 41.61598 27.41763
## [6529] 25.90660 33.99621 32.61894 35.46583 27.43573 28.59014 22.95366 33.30375
## [6537] 28.37033 31.62866 33.88393 24.24030 26.45944 26.08523 21.94823 34.70829
## [6545] 33.28978 35.48056 28.69171 29.94216 23.22242 32.84657 36.66221 26.72214
## [6553] 27.04587 29.91634 24.88620 28.43526 39.17688 27.97235 32.52776 38.76675
## [6561] 36.86497 26.21250 31.76128 30.01449 32.22161 31.43937 41.71780 32.23037
## [6569] 22.69618 28.69332 28.34046 29.43676 28.95149 30.08826 21.80300 28.13578
## [6577] 22.26921 32.38713 33.63567 20.27079 29.38851 30.67470 32.29953 25.32195
## [6585] 30.31886 24.19129 36.92042 36.03549 29.03454 25.34727 32.54350 44.14620
## [6593] 33.19453 31.36707 25.47555 32.95394 36.86768 25.57971 31.44872 27.81999
## [6601] 23.98741 28.89228 28.53417 25.88982 30.61195 29.38978 22.52585 31.45656
## [6609] 31.39320 29.62539 21.55668 27.24216 17.27465 30.97444 29.50467 25.06626
## [6617] 26.10711 39.10679 34.93007 28.10389 38.01479 28.82230 36.41653 32.36924
## [6625] 38.14771 24.51246 28.49577 36.55105 36.00537 25.45699 27.78204 39.02887
## [6633] 30.62254 30.42903 31.93090 28.08308 27.11357 25.13390 17.88479 24.79445
## [6641] 39.43493 29.61782 27.76554 29.55495 31.82459 35.43033 26.31132 31.06289
## [6649] 29.36960 28.88595 32.55167 33.70298 27.23803 35.48569 29.21836 36.74513
## [6657] 25.47129 27.06247 33.85592 27.82919 30.71012 33.59167 24.73438 25.32622
## [6665] 22.92459 36.79323 25.29787 26.28981 24.65535 23.62481 33.53983 28.23167
## [6673] 30.01392 35.74306 27.62139 35.06305 40.47426 25.84354 32.00680 22.85176
## [6681] 32.78992 29.91220 31.35946 24.75241 26.32808 27.09139 32.76980 22.24231
## [6689] 30.29970 25.81593 27.46409 27.49663 29.51723 24.40981 34.08514 29.76468
## [6697] 31.38775 25.76374 26.07609 35.60337 31.07741 39.34882 30.56899 37.58803
## [6705] 20.73561 15.98522 38.43581 36.59791 28.52754 30.11871 15.41109 33.29602
## [6713] 19.95714 29.10241 29.52519 35.35310 38.25940 36.85665 25.23891 34.27724
## [6721] 25.92391 32.28039 26.78620 17.21815 25.14490 33.37321 27.53555 35.33350
## [6729] 33.26596 32.66302 26.33470 20.92439 35.12592 21.64510 25.44014 32.79380
## [6737] 33.12475 26.87115 29.87183 29.91998 30.35893 35.86126 31.44253 33.23007
## [6745] 13.44214 33.36259 31.75259 28.58223 31.70927 22.22250 27.01048 36.46194
## [6753] 23.97218 36.47119 27.89587 30.98424 35.74191 39.05756 35.65467 26.33429
## [6761] 21.04000 21.87183 19.95708 33.13518 33.85619 31.16708 33.35316 25.85338
## [6769] 30.04018 45.39025 34.34817 29.82212 29.95318 38.52562 34.85457 27.24751
## [6777] 24.98672 33.18634 31.68784 34.93861 27.03995 32.58233 31.00819 27.06458
## [6785] 32.46136 19.76042 34.66544 30.36704 23.53610 27.60558 25.09004 28.54415
## [6793] 20.52301 31.68746 32.66489 35.97582 25.50845 34.32194 26.59931 29.06669
## [6801] 30.93324 34.42991 33.86490 35.72772 30.12095 34.18276 30.00823 34.12090
## [6809] 30.19231 28.26225 34.28873 26.58035 29.84016 33.53230 29.44150 33.95980
## [6817] 32.13320 23.88187 30.24587 36.74538 33.95830 26.89956 33.25491 34.13232
## [6825] 29.87622 25.04874 34.16162 36.66413 24.81117 28.86697 20.61161 28.92494
## [6833] 31.25559 33.51735 30.99508 37.17986 17.97244 30.20542 36.68752 32.75615
## [6841] 29.09347 34.83222 23.95125 30.66744 29.08611 30.00005 30.49511 27.13533
## [6849] 30.07200 20.15597 30.08407 26.14256 27.80679 28.80258 36.88280 30.99490
## [6857] 29.97202 25.26904 28.20667 34.17848 30.91363 32.62339 33.14394 35.41834
## [6865] 39.78019 19.15890 27.51401 24.29489 30.55122 24.64704 28.13230 32.41363
## [6873] 36.16316 28.43895 24.03296 31.44543 31.76784 28.00903 34.36984 30.00248
## [6881] 24.38675 27.04744 41.93944 34.99531 32.54597 25.88640 33.86395 26.09025
## [6889] 30.04775 38.80124 31.27648 34.89575 25.92920 23.41499 23.68356 30.84221
## [6897] 32.92542 31.52998 27.58040 33.77150 29.85266 38.82324 31.09437 32.36037
## [6905] 36.48387 33.93014 32.76742 40.77051 24.75906 23.47535 19.61638 23.73450
## [6913] 24.69019 37.31019 31.24194 18.24550 30.41684 27.79089 31.41532 28.58656
## [6921] 36.73032 29.54955 29.10879 28.17117 35.01041 20.03845 24.84976 25.89668
## [6929] 36.72158 32.15598 29.33749 30.01891 22.52497 27.46961 32.84785 23.97978
## [6937] 34.19979 30.53032 27.83331 16.55663 29.45796 28.83937 33.43745 39.20731
## [6945] 21.54825 37.76545 28.68526 38.32867 31.40698 25.82019 32.64134 28.61608
## [6953] 30.41237 25.00970 26.78930 31.45743 23.33967 33.45533 31.74548 24.93069
## [6961] 24.98899 36.46527 28.71911 30.44920 29.59600 28.28342 30.30580 25.76374
## [6969] 31.43351 32.54539 38.04362 32.26268 26.02730 26.48641 30.77379 23.97356
## [6977] 33.55380 24.80310 25.54993 30.24939 22.02070 20.93748 28.70129 24.87905
## [6985] 28.76453 29.97613 25.64507 30.14569 30.41843 27.32788 34.70050 28.19660
## [6993] 29.10889 23.74052 29.35307 37.69274 21.94989 28.02236 32.92879 24.31658
## [7001] 31.80079 27.28800 23.09312 26.90036 29.54567 24.91237 33.58862 26.99213
## [7009] 29.81143 31.78102 25.74936 24.57341 25.59208 30.85919 45.99282 34.04280
## [7017] 32.24423 32.21053 35.35484 33.46213 29.32521 30.91273 22.53880 32.32790
## [7025] 32.98573 33.73561 31.22634 28.84955 27.15742 30.79709 29.58665 22.29973
## [7033] 25.66739 32.58621 27.87105 29.31683 34.57049 26.78026 23.20240 28.25204
## [7041] 28.06192 31.56643 23.49780 31.43782 27.78847 24.99434 36.38420 25.24612
## [7049] 36.51015 28.04621 32.71314 27.52845 29.87680 33.04984 33.03361 22.92762
## [7057] 25.38832 30.83391 27.77118 31.50972 27.37665 28.65542 34.53700 30.60820
## [7065] 27.76503 30.04775 18.09409 31.67232 32.01957 35.12111 26.93422 29.36984
## [7073] 40.80014 25.45127 34.64083 31.23733 37.87223 25.16984 34.93566 25.90636
## [7081] 37.73746 23.87613 22.02993 33.33546 31.69532 23.77330 30.29545 28.22632
## [7089] 28.56561 20.61397 32.73169 23.33755 37.46551 31.58309 25.49541 35.23737
## [7097] 27.63674 27.89780 20.13106 28.96576 21.93558 20.50953 19.09675 33.56755
## [7105] 26.59943 29.17663 38.20905 32.93555 25.40001 35.64724 33.32590 28.43664
## [7113] 28.50656 31.01438 29.36944 34.55989 28.89586 28.22965 21.02255 31.16394
## [7121] 29.06737 35.32039 23.89395 31.26304 28.75821 41.14883 27.17874 31.51124
## [7129] 21.89869 32.93486 31.45800 30.15635 22.56610 29.38781 37.18043 36.64061
## [7137] 24.39610 34.39762 34.63338 30.55236 30.66178 33.59316 35.39748 25.27884
## [7145] 29.36569 22.68616 19.35653 26.37291 37.02967 24.76511 37.49136 34.03366
## [7153] 31.66598 27.08857 33.92639 34.70789 37.78492 25.64912 25.62494 34.40824
## [7161] 33.10181 34.56867 27.72015 24.19468 28.77122 29.70270 30.59279 24.60286
## [7169] 30.75177 29.53341 33.31690 28.23367 36.08683 26.10274 32.60852 29.02017
## [7177] 23.56128 32.42458 32.05063 24.86050 29.03143 32.59664 34.45379 36.57074
## [7185] 27.70076 31.57167 29.69707 37.98229 22.83116 28.73264 28.80801 40.95086
## [7193] 28.89825 25.09175 27.74478 28.40914 33.46169 27.51536 32.65693 35.67635
## [7201] 28.32503 31.38590 22.51132 31.98867 27.03718 23.79232 27.14513 30.46052
## [7209] 26.34237 36.04249 28.81263 31.97560 29.09966 46.26789 32.44533 33.81708
## [7217] 23.52878 25.75301 33.84642 32.38770 29.35500 20.49265 24.05169 26.64322
## [7225] 24.25322 34.14678 20.15103 30.20403 24.15743 29.64918 29.68000 35.76039
## [7233] 30.28688 26.70801 37.93788 25.58732 30.71238 26.17308 34.32868 29.94504
## [7241] 22.74103 25.62048 27.58825 36.10672 32.22031 31.21414 25.60224 28.78060
## [7249] 34.12985 28.01904 41.25090 21.69045 30.67563 26.64029 23.58355 26.21846
## [7257] 30.86654 33.26540 31.04973 25.98670 25.96637 34.37776 22.09486 31.56458
## [7265] 33.45711 27.30323 23.82344 31.94539 25.94529 24.60232 23.73085 27.56245
## [7273] 28.26422 28.95593 24.28653 23.39745 35.97582 27.95885 38.79520 31.10259
## [7281] 29.68960 38.57110 25.95646 26.04447 34.26959 34.88378 25.61984 30.52137
## [7289] 19.78975 24.59674 31.60645 23.78201 22.92622 32.48519 34.28330 25.80276
## [7297] 27.30994 28.18644 28.09966 39.11968 25.61735 38.50025 21.76814 22.54243
## [7305] 36.45020 24.16450 29.66214 39.61614 43.44778 31.57686 39.42075 36.45567
## [7313] 26.18142 37.08793 28.38328 35.01994 34.53996 31.67152 26.48037 32.04064
## [7321] 35.38365 30.82541 21.08194 27.31350 25.28846 39.14270 37.01988 24.51093
## [7329] 28.95077 26.52406 30.45555 34.92057 34.35915 20.88794 26.55494 29.04789
## [7337] 25.87388 32.14027 21.57222 31.62586 33.54522 33.51150 35.85380 26.46145
## [7345] 23.17794 34.42821 26.59392 21.53821 30.69755 23.87975 31.22481 27.17260
## [7353] 36.50251 31.08729 26.97177 31.38690 31.76760 41.91242 34.54573 32.25289
## [7361] 31.01113 34.68793 40.01698 31.61152 35.06452 31.11167 33.94756 27.55682
## [7369] 33.50072 28.36273 32.02373 32.37362 31.37684 25.15744 24.55934 21.53056
## [7377] 33.61886 27.03965 31.20110 17.81987 29.11815 24.45141 26.48103 26.30738
## [7385] 25.01992 25.03337 28.65580 30.57134 16.94997 30.77143 26.52988 29.66082
## [7393] 32.58442 27.70236 32.85740 33.04033 34.18470 39.26091 26.69364 27.42646
## [7401] 36.59589 28.38450 38.54175 29.21523 18.17609 24.64704 26.17246 27.96001
## [7409] 34.09564 29.76977 21.91088 28.49971 34.40489 32.57309 30.45127 26.80318
## [7417] 29.92073 27.41157 34.93837 30.18004 22.60743 29.86328 31.52539 29.74462
## [7425] 33.75603 30.17025 32.46077 36.57383 36.42066 31.74240 33.04265 27.67679
## [7433] 29.19284 26.52638 19.19634 33.69082 24.70702 32.06244 37.19837 25.36404
## [7441] 28.54847 29.54774 37.59474 31.74563 25.89436 25.91900 35.86144 32.01587
## [7449] 27.65960 28.40921 30.87033 30.87105 22.15863 21.63979 25.13139 27.16318
## [7457] 30.66775 21.75475 28.81770 27.56677 31.83694 16.70688 32.37196 25.81570
## [7465] 33.10816 35.17481 21.31433 22.94331 26.48710 29.89844 34.95522 20.34475
## [7473] 36.39083 24.64666 42.19723 20.05776 40.09153 32.93979 17.13616 35.59971
## [7481] 28.92492 32.00946 27.19930 26.36387 27.60291 28.86016 32.77571 35.67828
## [7489] 37.52699 30.71548 24.25546 30.97130 28.81189 39.19127 23.96933 30.89037
## [7497] 28.00372 24.86050 38.77338 38.07102 23.24825 25.82397 30.03093 30.21213
## [7505] 28.70275 26.79018 32.24785 24.63701 27.05795 31.86992 27.80675 24.48956
## [7513] 24.12866 30.36830 34.68483 29.27910 30.41947 31.66520 23.00156 24.32329
## [7521] 26.14478 29.75356 26.82262 20.25857 27.47243 39.02756 34.32190 30.40290
## [7529] 44.16570 24.47003 30.19928 32.08103 28.32445 36.98990 29.19150 33.31311
## [7537] 33.27322 32.69210 31.10228 32.03623 28.15181 31.64888 27.52310 34.56971
## [7545] 35.34496 25.43191 23.02194 39.02700 27.81098 25.40412 30.81868 33.54392
## [7553] 33.62265 32.94186 26.59891 37.20051 33.10526 30.99329 28.72591 29.25424
## [7561] 35.92980 28.32213 26.43476 29.35356 28.69564 31.74694 37.91190 34.65834
## [7569] 38.70518 28.74540 36.75589 27.66490 28.07891 40.66053 23.09864 19.63558
## [7577] 38.56115 25.52067 21.75027 22.66049 28.56814 33.96527 31.05955 23.96026
## [7585] 29.53078 31.76137 26.87507 31.79343 21.63356 23.07486 26.59432 32.74425
## [7593] 24.33793 32.87852 34.89756 27.08615 29.11784 34.45631 31.68629 17.06749
## [7601] 26.00085 32.21253 24.26609 20.04539 30.82678 26.33575 26.79311 27.25846
## [7609] 24.31886 27.67297 30.45650 33.37432 21.25833 29.82927 32.90504 29.40437
## [7617] 33.49782 31.41738 31.98973 25.18765 35.87716 28.12421 33.54228 22.40356
## [7625] 38.24006 28.34912 24.98334 31.99951 26.82949 30.50669 32.67732 31.77446
## [7633] 33.00605 36.79073 37.37923 24.90103 31.43310 36.28595 32.52106 33.27472
## [7641] 24.18451 31.42517 34.56474 20.23942 35.69641 30.39170 29.62923 37.36333
## [7649] 28.65681 31.44841 30.66850 27.64466 34.10197 35.77389 34.77005 29.90263
## [7657] 25.18158 27.84030 22.96472 32.88896 27.50727 34.26374 29.13367 32.93435
## [7665] 25.15614 26.88917 29.33552 34.67802 26.86110 32.97400 28.24844 31.04499
## [7673] 27.33151 27.99869 30.09452 30.21963 34.44407 27.04783 34.99617 27.45468
## [7681] 17.57963 31.72646 23.72263 30.03188 31.72687 27.91863 30.99151 23.18369
## [7689] 26.87245 28.79724 36.07924 29.78023 46.58361 33.67643 35.13882 37.53661
## [7697] 34.88042 29.24264 28.12357 31.28678 21.59803 35.52951 33.53798 36.11415
## [7705] 29.49067 27.04062 31.63140 30.88976 27.08664 34.41249 18.40086 36.30889
## [7713] 34.36524 27.76661 37.22154 25.86149 31.75008 35.81651 28.48163 25.76574
## [7721] 38.50931 22.31384 27.85183 30.77569 29.41167 31.61863 31.98193 26.89036
## [7729] 33.39268 30.16945 35.81244 38.66740 22.61469 27.98493 26.73178 31.03797
## [7737] 36.16152 21.33136 22.31486 28.12613 40.16224 29.83726 32.91921 30.23920
## [7745] 29.39431 30.40757 29.07994 36.40711 36.17420 18.28796 37.12810 26.72130
## [7753] 27.72000 27.34908 38.75550 30.20143 32.60319 38.24358 29.55492 33.12225
## [7761] 35.22616 31.94880 31.47902 35.98566 32.78615 27.16492 28.11652 33.44011
## [7769] 35.97795 32.26149 24.56997 27.62110 27.09631 28.02672 34.82283 34.92740
## [7777] 33.84447 22.13992 27.76822 27.48245 29.94427 27.69531 31.03770 20.39074
## [7785] 26.66617 33.28635 23.03829 29.03093 24.56814 33.32868 30.82403 26.96067
## [7793] 25.72796 31.01962 30.74205 22.48207 18.88412 23.19196 16.77541 22.48678
## [7801] 30.76023 27.95081 29.18946 20.80367 27.25158 25.21076 34.78258 31.31561
## [7809] 26.34438 33.83371 18.11993 31.14942 14.65313 25.91999 37.82072 29.39160
## [7817] 27.64308 33.27930 27.90928 22.73829 28.04996 19.54652 34.05650 27.59785
## [7825] 22.56654 29.73458 28.45350 24.78077 29.17119 30.54663 34.27503 34.28414
## [7833] 33.84527 20.36021 28.75166 25.70358 24.62206 29.88840 30.49643 37.76537
## [7841] 34.68093 23.58131 33.31679 28.64029 19.73672 26.02428 32.42128 38.69057
## [7849] 21.06493 28.99209 30.07927 37.31063 31.48819 28.43510 30.93421 27.29105
## [7857] 33.09072 22.83958 37.03443 30.12068 24.38194 34.81127 25.22015 31.62533
## [7865] 27.38932 33.21193 30.53159 34.27825 30.14970 31.05931 30.59733 28.08428
## [7873] 34.21628 33.80910 24.51679 33.79364 33.87815 30.56344 25.31873 30.97866
## [7881] 28.21027 30.01797 34.98060 34.52019 25.49358 26.92960 16.00063 40.51061
## [7889] 29.67405 27.00737 23.67744 34.89918 28.67612 41.69626 31.67749 26.53831
## [7897] 22.73958 29.09031 30.72051 28.24598 26.58309 21.13980 30.89554 36.42352
## [7905] 26.24222 29.49119 34.84182 30.18395 30.17515 32.71750 34.59433 27.38292
## [7913] 30.51607 32.77426 34.51404 37.90243 33.01959 25.73854 37.28681 34.29326
## [7921] 32.64589 33.33265 34.46738 33.89441 23.32337 39.98605 27.89850 21.73626
## [7929] 24.98789 33.48496 30.48546 33.80192 30.01527 33.31029 17.95432 36.53823
## [7937] 29.71720 30.30515 24.49207 25.42172 36.36865 23.90458 29.06898 27.26134
## [7945] 34.36310 24.47619 27.82163 24.92950 32.00542 37.05689 33.02482 28.90273
## [7953] 29.89429 32.50426 33.29747 33.33494 32.07896 33.36705 27.84422 25.16209
## [7961] 30.77002 31.51156 25.10345 26.35577 35.08676 37.34652 32.20747 24.11563
## [7969] 24.66616 43.05348 38.43299 31.11292 31.31727 31.20214 23.94029 23.35459
## [7977] 26.74644 25.33639 35.46192 32.74008 26.53375 24.05069 33.37605 26.49762
## [7985] 34.20455 29.50839 31.03537 27.71490 28.76287 28.06226 33.85287 19.43965
## [7993] 23.36191 25.71802 32.68828 25.63360 39.63291 27.96013 26.62403 34.88708
## [8001] 24.71129 26.92181 30.18292 25.31405 26.55125 30.65972 23.02946 31.70857
## [8009] 20.18232 19.82160 28.32978 18.25830 26.40610 24.13642 31.39762 23.79593
## [8017] 36.62242 19.72310 30.52264 34.39052 25.54730 30.06892 24.75055 23.09722
## [8025] 21.00648 28.80531 22.06218 29.61270 36.55910 36.14061 30.53004 34.67826
## [8033] 29.74183 27.79077 33.44885 29.28275 27.89322 29.20928 36.32479 24.88586
## [8041] 30.26594 31.11857 33.25836 27.87512 29.89818 37.08887 26.35018 30.65295
## [8049] 25.72548 30.76259 29.09851 26.66372 30.14637 29.98292 31.75321 22.99916
## [8057] 33.05310 23.89560 31.87904 34.48303 32.16768 21.02131 21.61724 19.42268
## [8065] 30.48643 25.64172 32.20249 40.84325 26.22297 33.51747 24.92168 25.65826
## [8073] 31.24591 31.43225 19.83171 31.23559 30.76298 30.12533 38.03118 31.64542
## [8081] 32.86753 41.57141 33.51642 33.35247 36.03293 17.97751 27.60748 29.17172
## [8089] 27.64597 43.35492 33.25874 31.75547 36.60588 36.32523 31.91096 27.93546
## [8097] 23.60692 22.07658 35.31201 29.65690 30.73950 32.15078 31.78298 28.91238
## [8105] 26.81485 32.78108 33.59288 30.38709 27.68285 25.76020 36.12347 34.63214
## [8113] 29.91745 35.95665 30.55064 27.46222 28.07358 40.52501 35.56808 44.82037
## [8121] 34.54820 21.72337 31.74436 31.54850 32.34488 21.30887 22.92498 24.86232
## [8129] 18.10687 28.25094 24.06769 34.91809 20.92082 31.19734 26.62210 36.10636
## [8137] 34.93153 41.16647 32.58568 32.63642 27.39018 36.44163 31.22452 36.95017
## [8145] 28.34596 28.38677 34.91616 33.35111 33.02825 30.11265 27.89941 27.15115
## [8153] 24.68874 20.52404 34.27678 29.48609 25.38541 30.25329 20.67931 28.33052
## [8161] 32.96836 35.66858 36.01602 29.48658 24.46954 28.32868 30.38354 33.98178
## [8169] 33.59299 29.10115 23.50010 31.79646 28.83138 28.49552 33.06471 29.54876
## [8177] 29.02553 21.16591 37.86025 31.87635 20.30047 23.85856 30.51472 27.20175
## [8185] 17.75403 31.27103 24.45992 38.51662 31.77042 28.34094 27.38454 25.73281
## [8193] 26.01482 31.38774 26.61842 27.99615 29.26639 30.78644 28.19659 24.05471
## [8201] 25.57931 22.72798 38.35493 35.59955 30.66346 27.44468 30.28917 28.15459
## [8209] 21.39165 34.61112 34.26322 37.71375 28.92916 39.15873 20.73689 31.61913
## [8217] 34.39653 32.67430 27.44748 33.90517 16.50943 35.52606 35.41031 34.75000
## [8225] 32.05014 27.61775 28.90296 29.61949 23.93108 30.41269 26.16096 34.08294
## [8233] 29.92184 33.74563 20.14859 28.38767 34.81237 26.63719 29.78159 35.28520
## [8241] 27.44320 28.70848 31.94887 27.89140 33.90991 26.80710 24.01181 26.04665
## [8249] 33.94574 22.09537 22.45658 32.93858 31.66205 38.07678 32.48925 33.18904
## [8257] 34.95462 27.84419 30.56071 29.24514 27.75146 33.79219 32.71628 22.57747
## [8265] 18.64902 24.43716 22.34871 35.57517 34.80399 32.68204 32.56252 26.34163
## [8273] 26.59579 19.52414 32.08645 33.86864 34.15797 27.14824 36.39665 29.64980
## [8281] 30.98438 33.26140 24.30469 34.83155 28.34915 33.86876 23.14762 30.64337
## [8289] 28.92737 32.02496 31.98786 37.93565 31.71864 39.18614 35.36884 23.15473
## [8297] 25.11205 37.11696 29.27603 21.30116 45.32479 29.70049 26.73611 31.70680
## [8305] 25.19030 26.99104 27.60656 38.60721 32.61262 33.62161 27.05946 30.59509
## [8313] 21.00944 31.98440 27.01052 27.43873 24.92865 27.91330 19.82934 28.87894
## [8321] 29.78723 28.14962 32.62386 32.25724 33.90318 29.57510 35.32419 34.21985
## [8329] 27.89156 32.79950 30.41367 18.46467 36.67578 27.54815 24.68473 30.68606
## [8337] 31.58730 30.10880 23.48800 37.44146 19.73657 26.76383 29.60311 33.50300
## [8345] 23.49371 38.65927 26.92886 37.35009 28.63919 27.53702 27.90209 28.05329
## [8353] 23.37775 31.45737 28.09022 25.41138 25.38897 30.19934 29.30537 29.49797
## [8361] 35.26753 21.70626 25.16223 32.05381 31.24425 30.71402 28.72492 24.03570
## [8369] 27.00938 33.94499 28.25314 32.30957 29.58526 31.32871 33.19205 24.42106
## [8377] 19.64379 29.61293 29.34022 34.88665 31.81872 31.16132 27.00856 29.72316
## [8385] 27.50852 41.27712 31.21621 28.30726 29.11404 31.53693 27.88902 25.48540
## [8393] 29.33080 30.67392 35.42948 29.09984 36.07229 30.94788 34.01492 25.35966
## [8401] 39.17152 37.18089 30.46890 34.66440 35.86790 28.27097 25.83715 35.18900
## [8409] 27.22066 31.70399 30.32242 40.76851 28.85696 30.68480 34.25571 32.15168
## [8417] 24.41484 28.17344 24.76300 28.36236 31.93433 30.93762 35.56730 38.71010
## [8425] 27.51228 35.52216 32.74912 29.35528 30.26859 35.38501 36.06015 25.04746
## [8433] 30.09393 36.18070 24.49816 29.68992 28.38852 36.10657 28.60455 24.07258
## [8441] 22.89407 30.10209 35.34179 34.34264 27.41597 36.62562 24.66026 34.44928
## [8449] 31.28041 27.33778 26.89354 24.40710 24.68445 23.33004 24.36701 35.49155
## [8457] 33.04970 29.27647 29.80443 36.02727 32.51260 23.09003 19.57938 25.19630
## [8465] 27.26800 24.85749 34.27646 32.23010 31.76060 23.76688 36.19814 26.16246
## [8473] 24.33060 29.32713 27.89381 31.67166 35.11643 33.42541 30.47774 24.89026
## [8481] 35.76692 33.20305 31.34286 28.98728 34.71888 28.34829 24.54561 33.67638
## [8489] 31.64185 26.49057 29.21778 36.44134 35.82719 34.44183 28.49038 35.37211
## [8497] 34.04109 24.17834 26.13897 20.94272 31.03689 23.20480 22.75982 21.63274
## [8505] 28.13512 29.48035 32.93882 32.29286 34.37535 25.72523 30.21340 26.36599
## [8513] 26.68307 28.64804 25.33259 25.44136 27.08585 36.89613 28.55476 30.93672
## [8521] 29.42727 23.91641 29.90695 32.44318 27.11658 29.85923 43.36323 38.50159
## [8529] 29.88976 28.98876 30.87928 36.41374 29.64123 31.42350 23.73319 28.61262
## [8537] 28.31363 28.97261 26.64468 38.60141 29.66077 33.70865 26.91068 23.10820
## [8545] 29.96696 28.85334 26.81630 28.55193 28.63854 31.91807 26.60349 26.45837
## [8553] 30.71315 35.77456 31.41271 33.06998 26.87725 32.41507 32.55774 32.40466
## [8561] 32.70273 32.26411 40.92971 27.70886 24.97180 22.95131 26.78697 23.76584
## [8569] 28.38628 28.26331 31.00627 27.68366 33.88881 35.38050 37.07021 25.43948
## [8577] 22.75816 24.80928 27.83960 29.54107 27.22920 24.99200 31.59069 36.22994
## [8585] 25.94020 27.71544 25.06124 34.81444 28.79041 24.63427 37.07713 27.87182
## [8593] 29.77263 27.12559 31.78157 27.86100 28.04766 31.69634 21.42686 31.32495
## [8601] 31.33198 21.74753 25.89397 24.56762 32.69640 27.92862 30.56390 32.13996
## [8609] 21.70429 34.75868 30.14804 29.27205 29.63452 27.97873 28.70163 29.43146
## [8617] 20.58705 30.58545 30.14232 29.06839 30.21097 37.65453 27.39587 22.15399
## [8625] 29.77455 28.55598 28.45109 24.67761 14.85346 31.77098 29.51111 30.93399
## [8633] 30.80629 28.48997 34.15398 17.91833 36.12379 23.30044 32.81877 29.27902
## [8641] 33.41105 28.48484 31.18334 28.65333 40.96786 37.56496 31.72793 29.60402
## [8649] 27.33489 26.85114 30.74647 32.07400 22.88349 36.75615 25.97206 25.46059
## [8657] 26.92279 24.31976 35.36852 27.13045 34.80832 31.72929 31.48779 33.88604
## [8665] 35.91768 30.22104 26.57567 31.48262 13.98552 26.82309 28.62557 27.97465
## [8673] 27.69944 29.80637 28.39856 30.00624 35.42055 26.31561 30.55408 26.24014
## [8681] 28.65317 26.75438 28.57298 32.03533 25.02088 34.35644 25.99400 30.72555
## [8689] 33.41477 30.95185 27.90186 31.81727 34.12518 32.94487 32.63756 27.06719
## [8697] 39.19435 37.37031 24.59605 28.22944 28.32148 35.66913 30.43038 35.83777
## [8705] 18.60543 30.19085 27.08181 29.85434 22.96416 30.96740 35.43479 40.40241
## [8713] 28.09512 28.66450 30.24031 30.14233 37.81345 29.29003 32.57298 30.56412
## [8721] 23.57211 23.76880 22.76897 20.97236 29.69339 31.57537 31.75413 31.66619
## [8729] 32.80891 34.94919 31.04268 31.28780 28.59670 33.88593 30.93003 36.31141
## [8737] 31.42993 29.76943 36.86189 24.60191 20.43488 38.76205 36.45735 30.57968
## [8745] 38.06264 33.19050 40.01371 29.55295 30.35324 26.84774 29.13506 37.30537
## [8753] 31.61254 32.01297 36.66547 28.00121 28.57339 29.97356 27.14430 17.50335
## [8761] 29.58949 27.49292 25.80063 33.01113 33.89616 29.54302 23.29788 29.45044
## [8769] 32.14775 26.98412 31.38494 30.70011 26.30914 27.62381 34.40113 39.32972
## [8777] 27.56946 27.84938 34.35252 34.78641 22.17321 32.31306 26.15641 30.47838
## [8785] 21.80985 26.53783 30.35610 32.05203 31.38839 28.73559 26.70507 26.84454
## [8793] 35.82347 26.89564 30.55433 26.03150 34.18785 22.12694 24.19832 27.27970
## [8801] 34.47798 24.22452 48.45262 23.73975 29.76043 37.01102 29.90596 31.47406
## [8809] 23.84265 29.80099 23.13547 20.40755 32.28642 32.43276 27.89483 24.98196
## [8817] 29.02411 28.36776 20.23914 21.38731 28.87371 32.08798 27.51019 28.84707
## [8825] 33.78011 24.83012 40.94458 34.20569 27.27721 22.59733 29.13544 20.44557
## [8833] 24.15436 36.17719 30.34943 35.71362 28.85066 23.53576 38.97782 18.00797
## [8841] 22.95322 21.64449 39.06454 18.59708 39.31832 31.47528 21.64359 24.81391
## [8849] 30.37823 31.28301 32.59783 18.02118 25.39487 39.05885 26.53203 22.86289
## [8857] 20.91006 22.50448 20.04088 33.15266 31.45987 34.20225 27.02726 24.18842
## [8865] 26.28055 30.88315 29.53966 25.56879 22.09722 26.93389 32.83850 33.47749
## [8873] 32.19846 23.55310 33.74207 30.58686 37.81940 32.52611 32.84834 31.87987
## [8881] 24.21547 35.16336 35.53702 26.50254 31.30973 29.57139 35.92332 26.30738
## [8889] 33.76563 25.90220 35.63771 35.03854 36.62003 33.76810 28.12831 24.11692
## [8897] 34.82841 32.57513 36.17466 35.36692 33.33658 40.22626 30.30510 31.70043
## [8905] 22.30225 22.52935 27.27374 36.78941 25.84572 28.36397 28.14687 25.32388
## [8913] 26.44009 24.88712 31.49036 24.43087 28.79788 36.08383 20.50599 34.92803
## [8921] 24.90888 32.94492 25.55866 27.63164 30.08147 30.59786 31.96237 20.09966
## [8929] 32.43531 42.38577 28.70432 24.06759 31.84795 17.36437 36.31769 35.51859
## [8937] 23.72010 31.96260 33.31542 35.60836 31.45180 31.41371 35.31660 30.84857
## [8945] 26.31975 27.40887 26.89882 31.24285 23.94476 22.55539 24.56130 27.35332
## [8953] 31.07591 28.36362 21.94277 30.84374 26.25578 30.38520 25.21193 28.10377
## [8961] 30.44204 28.63146 29.17012 33.38161 24.35052 37.12713 41.02652 34.56438
## [8969] 24.63424 29.19618 24.65155 26.27135 30.59770 34.16764 31.36196 37.01117
## [8977] 34.64945 29.89184 32.17455 41.89723 24.60925 35.11932 31.77432 35.26874
## [8985] 37.53143 33.93564 27.21844 31.28865 23.30810 38.38901 28.11134 31.73145
## [8993] 26.72134 28.86980 32.27353 35.63371 29.44133 41.15489 25.80490 24.36019
## [9001] 30.91298 30.61844 36.09385 42.18486 26.57029 25.98443 25.80085 24.59891
## [9009] 33.31299 28.27465 24.45376 27.60104 32.46984 26.50105 31.87305 24.98458
## [9017] 36.72403 34.89278 23.21897 34.26353 30.93407 43.60422 36.15067 30.43502
## [9025] 38.90677 26.49559 28.57671 29.41291 25.44849 28.25365 35.56344 24.55905
## [9033] 23.07469 28.45972 35.01310 28.25483 33.22109 28.73532 35.08203 29.84200
## [9041] 30.50498 30.80080 29.46639 30.94610 20.78630 30.26594 29.08030 36.25776
## [9049] 31.86711 32.01601 30.52462 27.75248 36.05969 24.29377 25.25283 30.86066
## [9057] 28.86047 38.73181 21.93380 28.98543 28.76218 35.56939 28.84342 32.50067
## [9065] 31.36027 29.96622 24.16478 27.53170 36.05442 24.62321 32.44711 32.75152
## [9073] 27.44982 19.64918 36.42230 31.97251 28.24574 41.11515 25.59594 35.24179
## [9081] 26.87546 30.28600 29.72456 36.44317 26.31139 33.20541 34.93711 32.38947
## [9089] 34.75282 37.58443 21.57936 31.02894 28.37542 41.83212 19.77297 37.57843
## [9097] 29.32117 28.90026 21.97223 32.08962 27.08713 25.84727 27.79994 38.57787
## [9105] 38.56161 33.71903 28.78208 31.32652 27.86743 27.16060 25.65575 31.79856
## [9113] 40.00149 36.27782 36.20647 34.24655 30.86384 37.49535 32.65887 31.03920
## [9121] 37.01616 29.36889 32.08083 36.46993 22.78697 30.43618 29.12285 26.10698
## [9129] 26.99692 32.23137 31.92780 31.26666 29.55831 22.66911 28.63257 26.44905
## [9137] 35.20425 26.74616 25.38884 18.83023 30.87408 34.77147 33.90744 32.53053
## [9145] 34.31423 21.98801 31.12390 25.30607 19.85854 31.26727 34.98048 28.00408
## [9153] 30.12308 29.63905 34.84252 32.19482 23.60117 28.81705 36.26923 25.85765
## [9161] 24.76567 21.13715 28.73617 36.10294 38.13944 31.40503 22.12045 31.70150
## [9169] 30.32779 34.50724 29.46954 29.03443 36.12054 30.52631 28.75365 31.05842
## [9177] 28.72753 18.36972 32.89383 38.33108 21.87428 27.24904 18.55391 24.96467
## [9185] 29.86930 37.17242 39.46264 27.38814 28.31342 19.61326 29.92440 26.05029
## [9193] 27.45480 38.43115 40.05420 34.66613 24.52170 25.88394 40.67062 32.92087
## [9201] 35.20892 26.72906 22.01056 32.76679 23.78093 23.66408 29.50460 24.08738
## [9209] 27.70926 28.98929 25.31097 26.08132 31.18280 39.07010 31.24508 31.85246
## [9217] 36.31476 34.63667 32.21547 23.96397 21.22480 31.77449 18.24555 37.79083
## [9225] 24.64753 26.69348 30.41473 31.04546 32.39529 30.67121 34.29643 31.14216
## [9233] 32.92439 26.39367 31.92145 27.40260 32.10302 40.20003 32.93905 32.00946
## [9241] 28.69706 27.11842 32.67626 28.98403 27.76651 29.97286 31.54112 31.84246
## [9249] 25.19849 27.10722 19.13827 24.42276 28.52018 26.68383 21.78804 39.04222
## [9257] 33.61705 28.77053 28.16636 29.32216 34.22645 30.91612 33.15374 24.14324
## [9265] 28.19249 23.97907 23.89819 31.83638 22.96906 37.23655 31.62077 39.97342
## [9273] 28.00793 24.12663 24.53366 29.63008 26.84697 34.93822 30.20246 39.67189
## [9281] 24.91179 26.46298 26.87387 28.74353 23.01902 26.94052 26.05097 31.48218
## [9289] 27.78473 14.19515 27.32242 36.40634 26.80011 22.00907 35.94030 36.37624
## [9297] 32.02189 21.81328 16.64056 31.57247 47.15019 29.76462 24.85496 27.12586
## [9305] 32.77287 28.02122 48.01228 36.50745 25.88850 26.93933 24.78024 31.98116
## [9313] 35.34815 36.69411 25.63111 33.95774 34.00180 17.94760 31.74591 28.58657
## [9321] 22.69859 26.01881 30.15779 23.59407 25.34743 30.07596 28.22568 35.30483
## [9329] 37.39025 24.54171 36.82326 38.86768 31.22262 23.94132 29.14885 23.70492
## [9337] 26.14639 32.21102 32.53950 32.33990 39.79923 32.46114 39.37428 24.54723
## [9345] 29.65465 26.58352 26.87431 33.11830 32.73872 32.00527 30.81987 31.47129
## [9353] 25.40085 34.19633 27.43336 27.65153 36.22014 26.81876 20.00763 31.62240
## [9361] 26.37837 33.50863 27.24035 35.16214 24.51674 37.12655 24.07410 33.65117
## [9369] 25.96215 24.37891 29.33220 27.19203 21.64481 31.38988 33.28635 36.61812
## [9377] 33.80677 28.24551 24.85467 28.62347 33.26191 30.31946 34.71396 35.32863
## [9385] 26.55177 37.89376 30.32451 31.04278 34.88995 34.38427 28.60940 31.60081
## [9393] 28.52501 24.23351 36.94515 38.01084 28.78196 30.03102 29.45615 25.81181
## [9401] 26.84865 25.67290 25.92092 31.06072 32.72109 25.56076 32.75419 29.26562
## [9409] 27.62668 32.12608 24.75285 25.98654 26.37873 27.45316 28.33465 30.94118
## [9417] 40.22246 32.00751 37.03538 26.89684 30.81328 29.25284 27.40632 26.80078
## [9425] 31.50690 35.38743 28.86044 30.15545 20.45212 33.20547 27.18021 31.99172
## [9433] 28.09321 32.80532 34.06669 27.32043 33.75617 27.71659 27.97005 28.06153
## [9441] 33.68432 36.96181 31.08475 25.53173 26.99067 28.89917 36.98122 44.13307
## [9449] 29.17947 23.08740 39.04119 40.06100 36.75439 32.63712 25.13112 28.86165
## [9457] 16.48192 19.91582 30.57994 26.59738 28.14238 26.92709 37.45750 35.35107
## [9465] 21.87875 30.85989 28.99263 31.40139 35.66406 34.03074 27.47223 36.90017
## [9473] 30.95574 24.91434 29.32023 28.62325 31.34811 35.74822 29.03202 34.82943
## [9481] 38.99041 28.30271 28.86261 24.56037 25.32313 34.88220 31.21987 20.42323
## [9489] 29.71487 41.93722 33.93893 28.46766 29.55650 30.73105 36.68628 34.12583
## [9497] 26.52617 30.25269 29.09359 20.57541 31.21290 19.59394 30.26070 38.97695
## [9505] 39.36482 35.13115 28.43194 26.18048 24.35084 28.33373 30.47182 24.15468
## [9513] 30.28287 28.90961 18.16930 27.04136 29.37113 29.69091 19.75479 31.04564
## [9521] 35.04761 30.67246 29.74901 27.90038 34.37525 29.74927 30.18835 25.93287
## [9529] 39.83163 38.60723 29.75593 35.58701 14.05659 32.92959 30.83395 35.31777
## [9537] 30.13192 26.65641 20.90102 27.36515 27.57057 27.92427 35.97863 31.78803
## [9545] 31.25699 22.81534 36.42215 32.98303 30.76114 27.57762 33.95629 34.33096
## [9553] 29.90248 24.81905 34.44105 34.45507 21.74469 32.86444 23.24598 28.70097
## [9561] 23.92619 30.07117 26.23591 27.14298 35.43739 39.22980 32.49279 31.30768
## [9569] 29.64119 29.20069 25.93383 27.11782 30.94060 29.63171 32.99383 31.52803
## [9577] 33.41242 30.21493 30.78003 32.42788 41.28754 29.33122 31.88999 30.74301
## [9585] 33.30699 31.62159 27.29920 17.31019 37.38509 33.55659 34.93128 23.69278
## [9593] 23.88473 24.54201 33.31836 26.78294 32.90704 26.47902 27.37403 33.85864
## [9601] 28.03859 26.22855 31.21898 22.76312 21.93189 31.62809 23.98260 29.15981
## [9609] 29.73499 24.82431 30.63126 31.34041 25.83339 27.42731 32.30126 27.00385
## [9617] 28.49947 23.12834 18.62848 32.14122 29.39724 33.89503 29.89737 28.26485
## [9625] 32.22893 31.23727 28.68892 30.60827 27.11450 25.07026 27.50142 29.29459
## [9633] 29.03748 38.49876 40.63498 36.80734 31.57722 31.10159 22.63190 24.86997
## [9641] 20.57540 20.91127 38.04406 26.71061 33.43152 36.52781 30.54221 36.97527
## [9649] 35.33783 24.71480 27.43494 28.71697 31.68585 29.07081 25.54751 21.64926
## [9657] 19.84477 22.46729 26.03479 18.80144 31.85116 27.29446 38.62372 31.44227
## [9665] 25.64535 32.01882 33.06643 27.33514 31.43339 36.28699 35.33003 39.36482
## [9673] 32.41685 31.16612 28.10415 23.14748 28.78466 26.78878 27.55838 26.01037
## [9681] 30.33336 32.17941 35.33401 25.08569 36.79184 30.00949 27.81008 32.49216
## [9689] 32.54832 26.51051 11.51098 38.68326 33.74625 42.18533 32.44512 28.76419
## [9697] 33.35642 29.37999 33.27110 29.20683 27.84473 29.06562 36.96322 19.37455
## [9705] 26.70723 33.99237 26.28811 39.31057 28.99742 28.54400 32.82136 27.19463
## [9713] 39.13245 31.83833 33.69203 25.41154 34.55414 30.75909 25.58846 31.87498
## [9721] 38.81297 27.05592 36.14466 32.76911 24.12163 24.42454 30.19084 29.53519
## [9729] 27.13790 33.15823 30.59774 26.14322 31.95321 28.03874 28.40296 25.04932
## [9737] 36.27517 28.24815 24.53384 26.49475 27.55867 30.92899 30.96859 31.75785
## [9745] 24.41030 34.77122 20.03442 30.78187 33.43788 24.18811 23.50428 32.38286
## [9753] 22.91731 27.66636 28.07659 26.50521 36.68038 25.50650 38.94348 29.41984
## [9761] 30.86988 33.78471 32.75398 25.04120 34.50778 27.15524 33.74921 31.36656
## [9769] 24.75356 27.94795 31.49181 29.92062 34.15059 27.64823 38.86345 27.95588
## [9777] 34.04492 32.30665 29.46296 30.27456 36.37265 38.64851 30.92939 38.69902
## [9785] 32.83474 27.84808 40.18833 30.46762 32.23476 31.81236 26.60235 27.29008
## [9793] 30.98279 20.83713 33.60779 26.55767 36.76506 27.46058 23.63281 37.08748
## [9801] 33.76292 25.20688 32.74920 30.66745 29.92539 25.56141 34.16298 36.53426
## [9809] 33.80484 31.74933 20.54710 25.26792 24.06459 25.55181 27.10258 29.84596
## [9817] 22.98203 30.14480 30.47405 35.62650 25.83397 22.61097 31.85904 25.53376
## [9825] 24.50716 15.26395 22.78592 30.83042 27.41953 28.14557 24.55046 25.51020
## [9833] 24.78073 28.77070 28.47924 18.12968 32.90861 31.64800 27.36747 39.10337
## [9841] 34.08528 29.95470 27.12967 36.79326 32.48354 36.32826 26.13406 25.81437
## [9849] 31.69737 31.99489 29.37295 36.82200 28.24106 26.65152 30.88340 31.38184
## [9857] 19.92599 22.93107 33.37183 31.07814 29.07034 31.28261 24.05236 31.25661
## [9865] 27.20762 25.76343 41.13614 30.83480 30.43673 24.21666 34.84512 24.73373
## [9873] 20.42339 34.07028 31.73186 33.82620 27.78911 33.27104 21.56631 33.09089
## [9881] 38.29154 26.48855 28.79570 32.64763 34.74661 26.80950 26.09823 26.67265
## [9889] 25.12568 36.43866 28.04797 34.48517 34.50191 25.06663 30.06409 29.43552
## [9897] 39.48466 22.23735 33.26222 33.63620 32.17205 28.53483 31.36300 33.52504
## [9905] 35.66084 25.92001 39.77584 25.40609 34.48956 37.62830 18.54638 27.88019
## [9913] 28.69327 35.57515 37.22179 24.54885 31.39278 31.09606 31.58618 35.40133
## [9921] 29.79706 29.36852 28.06144 39.61008 24.84067 34.60707 30.16677 27.51537
## [9929] 35.50233 35.84940 45.13139 30.13922 30.43631 30.01215 36.82618 36.36278
## [9937] 26.85275 22.99613 37.59034 25.23743 38.80555 30.66011 24.64716 26.43663
## [9945] 27.41944 34.68574 34.50209 28.65515 30.19717 39.57181 33.48204 37.00444
## [9953] 29.60083 30.90867 26.10570 29.01310 26.68339 27.39561 30.72644 32.17474
## [9961] 30.90871 23.59351 22.08401 30.29055 35.80347 31.67942 25.92434 23.65073
## [9969] 30.08127 26.44747 30.22485 39.85038 31.54161 36.51993 36.18814 33.73423
## [9977] 27.81730 24.19773 34.82710 23.73471 29.43794 31.60309 27.13130 21.17814
## [9985] 26.84245 33.94040 33.38033 38.92344 36.52735 31.66047 30.09783 26.98960
## [9993] 30.08786 25.21383 30.05689 37.69739 33.95987 34.43345 26.35233 30.25281b. Estime el porcentaje de cilindros que cumplen con la resistencia mínima de 25 MPa.
porcentaje_25 = mean(resistencia>25)*100
porcentaje_25## [1] 84.25c. Estime el 10° percentil (P10) de la resistencia a la compresión.
percentil_10=quantile(resistencia, probs = 0.10)
percentil_10## 10%
## 23.72722d. Si un cilindro que no cumple cuesta $50 USD en reprocesamiento, estime el costo promedio asociado a los rechazos en 10000 cilindros.
rechazados = sum(resistencia<=25)
costo_total = rechazados*50
costo_total## [1] 78750e. ¿Qué medidas de control de calidad sugerirías implementar para mejorar el desempeño de la mezcla de concreto?
Consideraría controlar las proporciones en la mezcla y tomar diferentes muestras respecto a las proporcione utilizadas en ese caso para poder tener un seguimiento a las mejores proporciones. Además en estos ensayos se puede considerar verificar la calidad de los materiales y llevar el recuento de cómo varía la calidad del desempeño de la mezcla de concreto.
Problema 3
a. Genere por simulación un gran número (al menos 1000) de los tiempos de vida de los sistemas
n = 1000
rnorm_log = function(n, mu, sigma) rlnorm(n, meanlog=mu, sdlog = sigma)
R1 = rnorm_log(n, 2, 1)
R2 = rnorm_log(n, 1, 0.1)
R3 = rnorm_log(n, 2, 1)
R4 = rnorm_log(n, 1, 0.1)Sistema 1: paralelo entre R1-R2 y R3-R4, luego en serie
sistema1 = pmin(pmax(R1, R2), pmax(R3, R4))
sistema1## [1] 11.717947 6.847360 5.242986 8.525951 2.387403 3.525613 4.757601
## [8] 7.975287 22.412660 7.970603 2.578348 2.558167 2.766895 6.812757
## [15] 3.612447 2.755862 3.190120 6.313016 2.589418 25.844733 3.352534
## [22] 3.673893 9.154346 3.343734 2.591822 3.334271 4.839687 9.155216
## [29] 7.564064 5.914761 3.401798 10.460500 2.650583 4.411245 2.797647
## [36] 14.987571 2.594747 3.074041 4.897747 2.764256 6.517331 7.028988
## [43] 8.958442 18.927907 2.695195 7.596190 2.725146 2.901521 2.435400
## [50] 4.142680 3.260050 4.149821 8.032284 2.719366 7.304456 4.385141
## [57] 18.454671 2.436672 2.732446 16.499952 5.589446 3.291826 2.755381
## [64] 7.722008 2.984333 6.548921 4.572598 13.189018 5.157504 5.454857
## [71] 2.778445 3.859205 7.829890 6.115607 2.763630 2.293035 2.649045
## [78] 44.375880 4.359954 9.768654 2.821178 7.152516 15.951292 3.685677
## [85] 3.054383 2.965438 3.171219 7.572916 2.844491 2.905275 4.876337
## [92] 14.705892 3.448322 6.885709 5.301215 2.373601 24.720859 16.381869
## [99] 2.813968 12.470091 3.067679 16.097131 2.672698 7.046440 12.845688
## [106] 2.649784 4.361711 3.171289 4.025506 7.988114 3.823819 5.024240
## [113] 21.416383 2.493015 5.872902 2.800781 11.452263 4.719530 2.417588
## [120] 6.367313 13.676735 2.767292 12.482527 2.766236 5.546001 2.726602
## [127] 2.626835 3.382926 13.269516 3.554197 2.702275 3.164831 2.733181
## [134] 2.674066 4.293077 6.689428 20.193379 3.436711 12.546071 4.328943
## [141] 2.593124 3.024857 3.319881 2.439985 3.803779 2.755667 7.258523
## [148] 8.273724 7.991274 2.494414 14.627347 13.686105 5.388618 3.346446
## [155] 3.155943 2.446399 2.834873 5.968226 3.014309 2.771863 3.533073
## [162] 13.669247 15.165440 8.710959 3.355953 5.370521 3.227824 16.893149
## [169] 2.774370 4.380688 2.609000 3.627752 2.451076 2.445509 3.930603
## [176] 4.581416 5.675883 3.261357 3.007827 2.291734 3.450721 5.333747
## [183] 12.296213 2.677190 3.084298 25.501867 2.984985 3.053115 13.285080
## [190] 2.913212 5.275763 10.186772 3.620784 2.741219 2.843528 3.432377
## [197] 3.480550 2.876296 2.654200 30.867407 5.120858 5.413347 20.709178
## [204] 23.023479 10.370987 2.545345 5.094960 3.173564 2.983402 3.199965
## [211] 6.561331 4.732680 6.995398 10.513919 3.133019 6.098829 5.343744
## [218] 8.425346 12.123369 2.662631 7.678381 6.380091 5.924495 2.327355
## [225] 5.554659 3.578149 2.702814 4.711700 13.908565 3.447098 13.849340
## [232] 2.621845 2.645073 2.774835 3.017841 2.448280 2.537956 2.912750
## [239] 2.498023 2.895965 5.222328 7.360628 14.312130 3.033984 5.325407
## [246] 14.881733 8.375336 4.387864 2.594599 3.138922 4.853157 2.892233
## [253] 12.547621 12.946994 3.636866 2.789838 14.590058 2.483382 5.559991
## [260] 2.516436 10.834860 5.777518 4.160540 9.208105 2.382240 2.927384
## [267] 8.530999 12.953979 6.959443 2.796954 4.453011 3.011038 6.587177
## [274] 2.947041 2.978680 4.305825 2.768285 14.228442 2.550907 5.035001
## [281] 3.615623 2.876873 8.313161 2.462230 2.975106 7.307544 18.130676
## [288] 4.233615 6.460742 2.370335 4.922739 3.925202 4.289988 4.987313
## [295] 3.294053 4.375187 3.052217 2.746147 3.678552 3.792398 4.720959
## [302] 2.864056 12.489294 3.993148 7.874570 2.543044 3.544048 6.123363
## [309] 4.976935 4.915408 6.973050 3.124936 4.095267 6.305725 9.868604
## [316] 6.623045 2.772519 5.188531 4.359939 4.361148 4.035771 3.301421
## [323] 12.375019 2.464996 5.902328 2.718406 3.684338 11.849694 7.336384
## [330] 3.147701 3.331112 2.637091 3.928145 12.192037 6.411085 3.376670
## [337] 5.014276 2.843972 3.957114 23.229976 4.428886 3.124043 9.301322
## [344] 3.097566 2.327518 2.602192 8.163574 3.272064 2.298965 4.270113
## [351] 2.517931 4.707218 3.328511 7.350397 2.753244 12.799975 11.151289
## [358] 5.711185 6.039947 2.477610 2.725105 2.937790 4.145715 8.752138
## [365] 5.600161 3.092121 2.997628 7.791062 27.482304 4.918151 4.356710
## [372] 5.787178 2.929362 10.386524 2.843053 10.040889 4.967905 2.768155
## [379] 2.526009 10.357857 2.766301 12.202555 2.797706 8.284440 4.446199
## [386] 6.725056 6.458317 5.690924 7.175368 3.097100 8.355308 3.281420
## [393] 2.515906 4.703170 2.766957 3.334431 3.474231 8.543484 3.186842
## [400] 4.851530 3.856442 3.010868 2.705668 4.758518 3.385297 5.369831
## [407] 3.254122 3.687563 2.656976 2.512344 14.291634 2.859127 2.703577
## [414] 22.610227 3.158033 2.377130 2.409043 2.386807 5.758053 3.511753
## [421] 6.109398 2.764451 4.184339 2.821385 2.953025 2.606773 14.136340
## [428] 3.731167 5.475262 7.866044 4.528131 4.769872 23.949988 2.604103
## [435] 5.679012 2.747150 16.773552 3.394428 3.012208 4.587927 2.894121
## [442] 3.245718 4.451493 20.839258 2.899748 7.301079 6.368892 11.331809
## [449] 10.947755 4.457152 2.877030 8.447707 7.154177 5.475834 5.681823
## [456] 2.757740 2.578038 2.446294 4.092269 2.642449 2.716997 3.392786
## [463] 3.479181 9.059958 8.905229 11.897696 3.185722 3.991397 6.630052
## [470] 2.771652 2.831155 5.431033 6.557646 2.831831 2.909286 2.783740
## [477] 5.586726 3.289683 2.492262 3.556615 2.962886 9.695738 14.239107
## [484] 7.384241 8.620008 25.154183 7.211842 5.877509 4.477289 12.321371
## [491] 5.892630 3.464700 3.594895 3.878016 4.506095 7.130650 6.049965
## [498] 4.077031 9.377022 13.128779 4.368419 8.429244 3.180822 12.766884
## [505] 3.390822 11.576628 4.246214 3.098811 9.015359 4.345076 4.467363
## [512] 3.969525 2.691692 2.673749 8.850897 3.921021 17.458555 2.698387
## [519] 4.521485 4.820250 2.971607 13.580562 8.999407 3.127556 2.557411
## [526] 10.906094 6.869438 10.131142 3.065714 3.186901 2.697377 2.690547
## [533] 2.542728 4.371543 9.819444 6.733520 5.469663 5.836824 7.933758
## [540] 4.145791 2.673968 2.738468 3.202094 3.738038 3.928569 2.650613
## [547] 5.978170 2.939046 5.071246 2.940455 9.504962 10.581194 3.005797
## [554] 5.433286 3.406102 4.429045 5.532368 4.302476 6.411194 6.163422
## [561] 6.353688 4.677771 3.191153 2.619308 2.870575 2.660322 18.090113
## [568] 4.830241 3.679821 5.907501 2.875147 3.120027 6.010974 26.934724
## [575] 8.570764 4.906690 13.133308 3.081536 4.136034 9.391879 2.853004
## [582] 2.873222 2.771707 3.209294 8.904801 3.083726 6.007148 2.734054
## [589] 5.758116 5.641697 2.691804 2.774655 4.076443 2.581369 3.956330
## [596] 2.776746 2.729671 4.585974 3.532451 10.384597 8.409534 21.721821
## [603] 3.792414 2.745333 6.049750 6.963514 5.684679 5.664642 6.998557
## [610] 2.760336 3.040121 8.712639 3.400114 3.694821 5.179688 2.855058
## [617] 5.835919 5.297205 27.931675 3.137907 3.033790 2.629358 7.629049
## [624] 4.102835 41.889220 3.508402 10.087984 2.160260 2.656598 19.884504
## [631] 2.721137 7.235827 4.904844 4.671598 2.743878 4.586946 2.880998
## [638] 9.558650 3.536581 4.252946 6.430629 2.624355 9.738410 3.139627
## [645] 4.049714 13.056641 3.512546 3.116819 2.546902 3.967088 7.970922
## [652] 3.161955 3.169464 2.250318 8.823217 2.571536 7.391871 2.759390
## [659] 5.977956 10.393523 3.446419 11.019566 4.428546 3.596113 2.906933
## [666] 3.207881 11.422428 6.230576 4.170984 4.211214 2.701984 9.664906
## [673] 2.700883 2.647062 4.147688 6.337766 2.612280 2.331127 4.261730
## [680] 2.741453 10.929668 16.897709 8.853272 3.042074 4.230012 4.715570
## [687] 5.168144 2.526711 4.958119 5.572086 30.153896 2.513227 7.823710
## [694] 9.198760 11.381994 2.818480 2.845589 5.499026 2.534748 7.710989
## [701] 9.774436 2.688485 2.819689 6.559465 2.845116 2.813920 5.689148
## [708] 12.440384 5.623959 4.934595 2.331183 4.092527 2.799010 2.593512
## [715] 2.879047 8.995984 9.191216 3.021102 3.034246 3.953384 3.151829
## [722] 6.677381 5.017216 4.459336 3.125554 8.485995 6.584232 2.307726
## [729] 3.627976 5.347543 2.597504 2.973988 3.071855 10.816494 2.863257
## [736] 7.462834 8.220486 3.325319 2.979813 2.631059 2.779496 4.083744
## [743] 4.504504 2.502395 2.665165 2.295526 7.206665 7.228520 2.524693
## [750] 9.535427 6.651376 5.933947 5.881812 18.997674 2.922129 4.448455
## [757] 14.022264 3.499870 6.118819 7.688001 6.625687 10.925878 9.542152
## [764] 2.456782 3.814774 6.202830 8.886716 4.396661 6.945884 7.572387
## [771] 2.333499 2.427539 7.557215 3.099558 2.871230 4.364326 3.506963
## [778] 7.853824 6.310626 3.683575 6.521482 12.241137 17.690103 2.548986
## [785] 6.992515 2.448883 5.106164 5.815660 4.469329 19.783326 2.801380
## [792] 3.379495 8.623693 4.874922 8.690539 2.475744 5.891732 6.907656
## [799] 2.260202 2.648136 5.335197 7.669048 4.020133 3.785091 3.069177
## [806] 12.628449 2.854299 2.621357 2.537407 4.867208 6.684504 9.005818
## [813] 2.596300 2.302039 4.107915 2.906397 3.226430 3.568489 4.400229
## [820] 3.149629 7.015930 3.936468 2.830098 3.349427 2.641818 7.895266
## [827] 2.746101 3.918926 11.701594 2.809586 3.187415 7.458572 2.990283
## [834] 2.922965 16.720756 3.115249 15.338477 2.690276 4.797098 2.771398
## [841] 3.337801 5.460871 3.809561 4.464894 5.139772 9.967086 3.038886
## [848] 4.801060 2.689119 9.901631 3.585488 2.684829 6.415982 7.122914
## [855] 2.644006 25.407755 3.643132 2.703858 2.957188 4.855130 4.934134
## [862] 5.193653 5.142600 8.174742 5.438250 22.336834 9.208859 7.670762
## [869] 2.911362 12.108771 2.272311 4.416337 2.578351 4.363311 3.151613
## [876] 16.046313 3.562753 7.842838 6.772448 2.855742 4.210509 4.423356
## [883] 9.534637 3.497068 4.182201 4.120806 3.936884 3.648184 9.280230
## [890] 5.265697 2.548952 7.031738 23.445558 13.752191 14.599320 3.576023
## [897] 7.555017 8.360368 7.483123 2.587182 2.597705 4.223508 2.998676
## [904] 2.895345 29.408053 2.195856 4.314485 2.366725 2.723972 7.981273
## [911] 3.131178 21.313884 7.957999 4.843193 4.779840 6.882747 7.774463
## [918] 4.612972 3.572988 2.749934 3.806258 8.437184 3.559953 2.995228
## [925] 2.589941 6.213844 2.580204 2.839629 6.585241 7.992836 2.505208
## [932] 3.955102 2.954614 2.865925 3.310890 4.817970 2.795016 3.263251
## [939] 3.641773 2.483382 2.917611 5.946866 4.837130 8.241578 4.175581
## [946] 8.999181 4.546792 10.718450 2.596055 10.954543 5.136905 4.642936
## [953] 2.967291 10.346464 5.465141 5.655137 8.738272 18.775330 2.862157
## [960] 4.156539 2.404831 3.376317 13.612044 2.288634 3.032145 2.934837
## [967] 3.041079 3.978488 4.733883 3.809494 7.858302 2.752908 2.563384
## [974] 4.495345 2.567467 4.060455 2.455340 10.866515 2.352373 3.267862
## [981] 5.075751 6.467882 6.635750 2.847888 13.879439 3.055242 2.636560
## [988] 3.069488 3.431303 13.451720 4.645469 12.617882 18.470632 3.018489
## [995] 5.609516 2.877542 7.726635 3.770624 7.418748 7.785923Sistema 2: paralelo R1-R2
sistema2 = pmax(R1, R2)
sistema2## [1] 11.717947 6.847360 7.950619 8.525951 2.578069 9.423680
## [7] 50.597106 7.975287 78.079947 7.970603 4.671168 4.086476
## [13] 2.766895 8.149947 3.612447 2.871319 34.032868 10.545689
## [19] 4.184635 25.844733 3.352534 3.673893 9.154346 3.343734
## [25] 15.553932 7.919227 4.839687 9.155216 15.508010 5.914761
## [31] 3.401798 10.460500 2.650583 4.411245 17.288694 14.987571
## [37] 2.594747 3.074041 7.900962 2.764256 6.517331 13.488848
## [43] 53.434950 23.274360 2.695195 52.137419 2.830296 2.901521
## [49] 2.554553 4.892229 3.260050 10.704779 8.032284 2.719366
## [55] 14.911172 4.385141 56.709797 2.436672 2.838671 16.499952
## [61] 13.437293 5.046293 2.755381 10.337893 9.600202 29.579277
## [67] 50.798578 13.189018 5.157504 5.454857 2.778445 3.859205
## [73] 7.829890 33.898965 29.370877 2.293035 25.306064 44.375880
## [79] 33.955436 9.768654 10.860969 7.152516 24.629939 3.685677
## [85] 5.018111 2.965438 3.171219 7.572916 7.115280 2.905275
## [91] 27.505819 14.705892 3.448322 6.885709 10.906696 3.035886
## [97] 24.720859 17.132103 2.813968 12.470091 4.955450 16.097131
## [103] 2.672698 7.046440 20.369223 2.649784 4.361711 6.910236
## [109] 8.307341 24.407283 3.823819 5.024240 21.416383 2.493015
## [115] 6.059583 2.800781 11.452263 6.359443 9.591970 6.367313
## [121] 35.896814 2.767292 12.482527 8.846755 5.546001 2.726602
## [127] 2.626835 3.382926 13.269516 3.554197 8.685187 3.164831
## [133] 3.887959 4.988167 80.253127 6.689428 20.193379 24.252983
## [139] 25.800427 6.464414 4.031479 3.024857 16.139685 13.392268
## [145] 3.803779 4.632341 7.258523 12.284534 9.819002 3.556987
## [151] 14.627347 13.686105 5.388618 3.346446 3.223183 2.446399
## [157] 4.056662 21.293799 4.019501 5.110518 6.599539 13.669247
## [163] 15.948037 8.710959 8.625517 14.206895 3.227824 22.247282
## [169] 11.656547 37.084811 5.179378 9.442365 9.621875 2.445509
## [175] 3.930603 4.581416 39.699309 4.519748 7.295199 2.291734
## [181] 16.014501 40.257354 44.559125 2.677190 23.328657 25.501867
## [187] 20.344466 3.053115 13.285080 3.894012 6.545837 25.600733
## [193] 3.620784 12.182824 2.843528 9.396655 9.489646 4.553347
## [199] 2.654200 30.867407 5.120858 5.413347 20.709178 23.023479
## [205] 10.370987 12.354399 5.094960 3.173564 2.983402 4.337865
## [211] 6.561331 4.732680 6.995398 11.433504 3.459158 6.098829
## [217] 10.974719 22.630607 17.518886 6.942116 61.663603 6.380091
## [223] 7.889164 4.606124 29.943003 3.578149 2.702814 4.711700
## [229] 13.908565 3.447098 18.882919 2.621845 12.155926 9.834396
## [235] 3.892874 2.448280 3.592360 11.084705 5.524139 2.895965
## [241] 14.045709 7.360628 14.312130 7.639871 5.325407 38.923518
## [247] 12.596455 9.749918 5.318774 3.138922 4.853157 2.892233
## [253] 12.547621 12.946994 3.636866 2.789838 14.590058 2.483382
## [259] 5.559991 2.516436 10.834860 5.777518 4.160540 9.208105
## [265] 30.892970 7.096394 8.530999 12.953979 38.288172 8.612466
## [271] 4.453011 3.011038 6.587177 17.753499 2.978680 17.038580
## [277] 2.768285 14.228442 5.641448 5.035001 31.607143 2.876873
## [283] 11.742268 34.748580 44.405940 17.007030 22.158166 4.233615
## [289] 6.460742 2.370335 13.318852 20.668172 7.939550 4.987313
## [295] 3.294053 4.375187 16.619984 5.544803 18.155939 3.792398
## [301] 21.767164 3.091601 13.836975 3.993148 7.874570 42.592087
## [307] 14.024111 6.123363 4.976935 4.915408 6.973050 3.124936
## [313] 4.095267 6.305725 9.869100 6.942352 2.772519 5.815920
## [319] 13.836477 4.361148 4.035771 29.739183 12.375019 14.326648
## [325] 5.902328 2.718406 3.684338 46.571034 7.336384 3.147701
## [331] 17.894914 2.637091 28.004078 34.683271 18.305468 6.674842
## [337] 7.553495 3.120931 3.957114 37.154352 5.265466 3.124043
## [343] 9.301322 3.097566 2.327518 2.602192 30.089626 3.272064
## [349] 3.757778 4.270113 6.067947 4.707218 13.524769 63.378933
## [355] 12.522278 12.799975 15.464302 31.848619 9.130747 12.192775
## [361] 11.141493 2.937790 4.145715 17.924747 7.194974 3.092121
## [367] 8.762933 7.791062 37.162441 94.451651 4.356710 10.757845
## [373] 2.929362 15.076518 16.308827 15.243399 4.967905 61.996114
## [379] 14.741591 10.357857 3.818511 25.212214 8.179951 47.485809
## [385] 14.050620 6.725056 6.458317 10.881396 9.181603 18.060940
## [391] 8.355308 3.281420 5.390404 4.703170 40.745037 3.334431
## [397] 3.474231 8.543484 3.186842 17.385330 10.910911 3.010868
## [403] 18.124952 4.758518 3.385297 5.369831 17.586166 30.504531
## [409] 11.013849 6.248655 20.663246 3.938103 4.452860 33.317623
## [415] 3.158033 2.377130 3.276212 2.386807 5.758053 3.511753
## [421] 6.109398 2.764451 5.767387 2.821385 2.953025 3.684124
## [427] 29.899311 3.731167 5.705158 7.866044 5.350326 20.766533
## [433] 24.815259 2.604103 5.679012 2.747150 38.279223 3.394428
## [439] 15.254679 4.587927 47.320209 7.961099 4.451493 20.839258
## [445] 6.904948 7.301079 12.236444 12.797684 10.947755 4.457152
## [451] 4.687422 9.361397 14.342566 5.475834 5.681823 2.757740
## [457] 2.578038 2.446294 4.092269 18.839767 3.332419 14.920389
## [463] 3.479181 16.879145 32.832717 17.072894 3.185722 21.567948
## [469] 8.140651 32.696020 22.004970 5.431033 35.048079 2.831831
## [475] 42.434800 2.783740 5.586726 3.289683 2.492262 3.556615
## [481] 11.829275 9.695738 14.239107 18.176994 16.579968 34.791177
## [487] 8.642141 5.877509 20.869650 25.357991 5.892630 3.464700
## [493] 3.594895 3.878016 4.506095 9.708587 6.049965 4.077031
## [499] 9.377022 13.128779 4.368419 8.429244 3.180822 12.766884
## [505] 23.527681 13.684379 4.246214 3.098811 9.015359 4.779786
## [511] 21.551725 7.504160 2.691692 9.117851 8.850897 3.921021
## [517] 17.458555 2.698387 16.830369 4.820250 4.284170 13.580562
## [523] 8.999407 22.039153 10.607355 18.492636 8.608214 10.171303
## [529] 7.685422 12.242053 2.697377 2.690547 2.542728 15.880824
## [535] 9.819444 37.013740 5.469663 5.836824 36.695899 13.356265
## [541] 7.651843 2.738468 3.202094 11.934475 9.043315 2.650613
## [547] 6.172994 2.939046 5.903747 2.940455 9.504962 10.581194
## [553] 28.810432 37.545724 3.406102 7.019813 11.246916 29.013011
## [559] 6.411194 6.163422 17.712705 4.677771 3.191153 2.619308
## [565] 2.870575 2.660322 18.090113 6.348892 20.381542 14.719111
## [571] 2.875147 4.224989 6.010974 35.760371 19.409449 4.906690
## [577] 39.599750 3.081536 4.136034 9.391879 37.892949 4.013764
## [583] 2.771707 24.606524 30.480514 3.083726 6.007148 8.772102
## [589] 5.758116 55.639656 2.691804 2.774655 4.076443 2.581369
## [595] 3.956330 2.776746 2.729671 4.585974 8.315247 10.384597
## [601] 18.887684 21.721821 3.792414 2.745333 45.919814 11.799766
## [607] 14.487735 19.427447 6.998557 2.760336 4.046960 9.953355
## [613] 3.400114 3.694821 6.762097 2.855058 9.976659 5.297205
## [619] 27.931675 3.137907 7.131110 2.629358 7.629049 24.452191
## [625] 41.889220 3.508402 21.245186 12.863494 2.939288 19.884504
## [631] 2.721137 7.235827 4.904844 4.671598 9.269733 4.586946
## [637] 2.880998 9.558650 3.831105 4.252946 6.430629 14.978182
## [643] 9.738410 8.450530 13.666651 13.056641 3.512546 3.116819
## [649] 12.430559 3.967088 7.970922 27.698512 3.169464 15.389679
## [655] 18.586772 19.757940 7.391871 2.759390 5.977956 73.778319
## [661] 3.446419 11.019566 4.428546 3.596113 2.906933 3.207881
## [667] 16.763369 7.277171 13.239861 65.912300 4.520473 9.664906
## [673] 2.700883 2.647062 23.184127 6.337766 5.661395 11.293216
## [679] 6.945525 2.741453 10.929668 16.897709 13.155240 3.042074
## [685] 4.230012 58.123353 5.168144 12.273683 11.982834 10.246334
## [691] 30.153896 3.653129 10.835781 9.831630 23.943561 10.686011
## [697] 2.845589 5.499026 16.748144 15.989233 9.774436 2.688485
## [703] 5.867197 18.710051 2.845116 2.813920 5.689148 12.440384
## [709] 5.623959 4.934595 2.837287 4.092527 2.799010 2.593512
## [715] 3.766017 8.995984 13.340548 3.021102 16.459053 34.751588
## [721] 4.719679 13.181546 23.336561 27.084210 3.125554 12.968976
## [727] 26.714505 11.604496 3.627976 25.577017 3.849201 3.437777
## [733] 3.071855 17.844656 10.012581 8.568533 14.168129 7.238514
## [739] 2.979813 11.010965 2.779496 6.969249 4.504504 2.641230
## [745] 12.121078 2.295526 7.206665 7.228520 2.524693 26.054566
## [751] 22.602289 14.353477 5.993910 18.997674 28.638530 4.448455
## [757] 18.743970 3.499870 9.229414 15.869069 7.344779 18.732970
## [763] 16.198661 2.456782 3.814774 6.202830 8.886716 4.396661
## [769] 6.945884 16.773107 3.113397 2.427539 38.526450 3.099558
## [775] 12.708070 4.364326 3.506963 11.489407 10.455225 3.683575
## [781] 6.521482 12.241137 17.690103 2.548986 6.992515 3.419542
## [787] 5.106164 5.815660 6.228050 58.630102 10.905289 3.379495
## [793] 8.623693 4.874922 8.690539 2.475744 100.200611 6.907656
## [799] 3.146144 2.648136 5.335197 7.669048 4.020133 3.785091
## [805] 46.237087 12.628449 2.854299 10.526764 2.537407 4.867208
## [811] 31.120481 9.005818 2.596300 3.115155 4.107915 2.906397
## [817] 5.522277 8.804585 7.950334 3.149629 9.338293 3.936468
## [823] 2.830098 8.884637 2.641818 21.945836 36.154263 42.162635
## [829] 11.701594 10.957428 3.373793 7.458572 2.990283 2.922965
## [835] 16.720756 3.115249 15.338477 2.690276 4.797098 7.398131
## [841] 3.337801 26.210329 3.809561 4.464894 5.139772 9.967086
## [847] 3.038886 8.224335 2.689119 25.400533 14.172872 3.309273
## [853] 6.415982 7.122914 3.269821 25.407755 7.575222 2.703858
## [859] 11.397885 4.855130 6.429514 5.193653 148.940348 8.263335
## [865] 5.438250 22.336834 9.208859 60.250758 2.911362 28.105583
## [871] 2.272311 28.649368 3.516678 7.441383 3.369560 16.046313
## [877] 3.562753 11.959754 50.677055 10.163354 13.343720 4.423356
## [883] 9.985749 3.497068 5.895060 7.534312 12.591325 3.648184
## [889] 9.280230 9.986288 2.703223 7.031738 44.253203 32.879582
## [895] 14.599320 3.576023 7.555017 8.360368 7.483123 2.587182
## [901] 2.597705 4.223508 5.835526 2.959172 29.408053 2.195856
## [907] 8.318209 2.883007 5.941146 12.672137 3.131178 64.773979
## [913] 41.216031 4.912072 4.779840 8.605953 32.095579 7.681680
## [919] 3.572988 4.253376 3.806258 8.437184 3.559953 2.995228
## [925] 7.293343 6.213844 51.513966 16.437808 11.548451 143.052203
## [931] 2.754954 3.955102 3.174322 2.865925 22.171919 6.461087
## [937] 2.795016 17.492489 3.641773 2.483382 2.917611 9.895821
## [943] 4.837130 8.241578 5.671252 38.450619 4.546792 38.005389
## [949] 2.596055 10.954543 5.136905 5.703960 2.967291 10.346464
## [955] 5.465141 5.655137 188.001424 73.866202 2.862157 4.156539
## [961] 16.072800 3.376317 13.974559 2.288634 3.032145 4.251636
## [967] 4.468622 9.496365 12.416140 3.809494 7.858302 2.752908
## [973] 14.184683 4.495345 15.980919 8.933419 2.683292 17.272196
## [979] 2.352373 3.267862 34.548316 6.467882 16.201846 17.177844
## [985] 13.879439 3.055242 10.997762 3.688896 10.311661 14.230521
## [991] 4.645469 12.617882 28.220255 11.154148 33.043779 7.087621
## [997] 7.726635 8.301676 8.074439 7.785923Sistema 3: serie R1-R2
sistema3 = pmin(R1, R2)
sistema3## [1] 2.8583414 2.9698096 2.8747662 2.2911274 1.5792225 2.8430800 2.7752991
## [8] 2.6693491 2.5298511 2.6996061 2.6847386 3.2962495 2.2781454 2.6557322
## [15] 3.1871014 2.2202917 3.1625591 2.6623775 2.7095909 2.1659107 2.9453399
## [22] 2.8343546 2.8383068 2.5684464 2.8283878 2.8257187 2.8486314 2.6763472
## [29] 2.7483392 2.6589209 2.5937226 2.9369492 2.5967548 2.4863540 2.9717104
## [36] 2.5961836 1.9317644 0.7958425 2.8905755 2.7323379 2.5848130 2.4396885
## [43] 2.8404030 2.8710745 1.1528442 2.5620071 2.4341234 2.5543417 0.7257040
## [50] 2.7257002 3.2440116 2.1941942 2.5750690 2.3455451 2.7578150 2.9689284
## [57] 2.8773731 1.0163648 1.2791183 2.8671733 2.6810228 2.3198767 2.5578062
## [64] 2.6911307 2.6966053 3.1302791 2.3691624 3.0109474 2.7085121 2.4974839
## [71] 0.7889326 2.3048284 2.4841432 2.7192594 2.6421290 1.3004768 2.6567738
## [78] 2.8975309 2.5313764 2.6466248 2.6686064 2.9507339 2.5463110 2.8663451
## [85] 2.8285489 0.7512938 3.0973248 2.4911246 2.8191099 2.6739822 2.9155479
## [92] 2.3919724 3.2514394 2.8919924 3.1219935 1.1122490 3.0605053 2.9617702
## [99] 2.6811321 2.7723188 3.0892105 2.5271427 1.8733061 2.8631090 2.7965788
## [106] 1.5746393 2.7273826 3.2921066 2.1568187 2.6943542 2.9515314 2.6089432
## [113] 3.0295295 2.0697524 2.3423906 1.8832326 2.3067863 2.9616396 2.8828356
## [120] 2.6060412 2.7205861 1.6847387 2.4156169 3.1063249 2.4116115 1.8913767
## [127] 1.1931346 2.4695313 2.3186028 2.7056057 2.7787240 1.7925167 2.3660151
## [134] 2.4856000 2.7641948 2.8294615 2.4745792 2.3539667 2.3500437 2.6677374
## [141] 2.5204372 0.5790824 2.5260834 2.8010939 2.8305447 3.1579206 2.7279797
## [148] 2.5308687 3.0377923 2.8704615 2.5314180 2.9309242 2.7936950 2.6671530
## [155] 2.3165545 1.1219392 2.5498909 3.1771469 2.3624709 2.8047974 2.4398776
## [162] 3.2826776 2.5729202 2.3794460 2.7915027 2.4686428 3.1064319 2.6804212
## [169] 2.2957409 2.8269285 2.4320634 2.1542878 3.0619501 1.5143372 3.2428795
## [176] 2.6904308 2.2191312 2.5594682 3.3799740 1.3414659 2.6772846 3.1175329
## [183] 2.6060962 2.0168570 2.8482770 2.9545884 2.7214001 2.8847918 3.1150165
## [190] 2.6009268 2.8772740 2.3637525 2.8555658 2.6199756 2.7096099 2.6087478
## [197] 2.8107051 3.2034132 1.5919477 2.6608053 2.7811704 2.8667450 2.4479840
## [204] 2.6567811 2.5449133 2.7752263 2.6982888 2.5854887 1.8969114 2.5483967
## [211] 2.8399000 2.2658866 2.8175332 3.0167971 3.4469355 2.4543008 2.4137599
## [218] 3.0730601 2.7879739 2.7058138 2.2386969 2.9811265 2.6662886 2.9981276
## [225] 3.0196224 3.1136757 2.4120204 2.4991659 2.4069538 2.5429334 2.8255614
## [232] 2.2740388 2.6905113 2.5461226 2.6289766 2.3611402 2.9122266 2.6348668
## [239] 2.9792587 2.1631971 2.6724195 2.8742753 2.9788844 2.7637473 2.9306280
## [246] 2.6683984 2.5123767 2.6422109 2.7031638 0.9591131 2.9484033 2.2636616
## [253] 2.9045198 2.3806605 2.6709873 2.5276951 2.7777804 1.6216953 3.0789335
## [260] 0.5905540 2.7586618 2.6048749 2.5733485 2.8490814 3.0460696 2.8858499
## [267] 2.4828798 2.4935384 2.8498124 2.6287715 2.6993900 0.7805785 2.3997958
## [274] 2.7717599 2.8614977 2.3031118 1.6616519 2.8887741 2.3564080 2.5157205
## [281] 2.5959353 2.4168012 2.3998045 2.9012985 2.7119624 2.6514700 2.5759620
## [288] 2.8564403 2.5066284 1.8248621 2.6750106 2.9705534 2.6520460 2.9952466
## [295] 2.2294686 2.3140703 3.1193775 2.9263126 3.1428717 2.9595462 2.5381384
## [302] 2.6738346 2.3636293 2.9209900 2.4546039 3.0323854 2.5694236 2.5481516
## [309] 2.6018171 3.1068576 3.0807605 2.2332357 2.5980404 2.6442203 2.4233433
## [316] 2.4631396 2.7373629 2.6116484 2.7299468 3.0762915 2.8042015 2.8155625
## [323] 2.4025969 2.6467283 2.9962929 1.0341427 2.1287791 2.3582695 2.2373990
## [330] 2.8198619 2.5353081 0.7633419 2.7583138 2.5493714 3.0085131 2.9546648
## [337] 2.6438854 2.5356912 2.6787623 2.6266088 2.4387006 2.8702845 2.1820424
## [344] 0.5857239 0.7884786 0.5505640 3.3005866 2.3162399 2.9150573 2.5210936
## [351] 3.4236469 2.3264391 2.5898511 2.9596247 2.5593904 2.6921397 3.1066024
## [358] 3.3592175 2.7293839 2.9795223 2.5967329 1.4372662 2.3552238 2.7504725
## [365] 2.7602579 2.3173603 2.9435527 2.7963302 2.4469728 2.8938903 2.7499239
## [372] 2.5660399 2.8307792 2.5885552 2.6988935 3.0701458 2.6463981 2.6356141
## [379] 2.7152987 2.5711188 2.9196909 2.6239425 2.7282764 2.5927952 2.8110816
## [386] 3.2639560 2.7264183 2.5716156 2.2962625 3.0757135 2.7825628 2.4148787
## [393] 2.4383454 2.7684744 3.2155811 2.1487110 2.5638239 2.3449340 2.4374652
## [400] 2.4396627 2.2714709 0.7677887 2.7611032 2.6037498 2.0820439 2.4407299
## [407] 3.0196521 2.8347651 2.8399661 2.5436290 2.5331337 2.6915323 2.7576397
## [414] 2.5421463 1.0366726 1.2334843 2.6981551 2.3851644 2.1922978 2.1942848
## [421] 3.2304104 2.1165901 2.0856273 1.6103025 1.1632906 2.9389608 2.8121627
## [428] 3.0414527 2.2451391 3.1019523 2.6477006 2.9102468 2.9213394 2.1498671
## [435] 2.7636463 1.2750348 3.0352490 3.0168756 2.6346424 2.3517813 2.5096412
## [442] 2.7554721 2.8539784 2.8793546 2.5618110 2.3792809 2.7959926 2.6705724
## [449] 2.5827138 2.9737814 2.5662416 2.7647534 2.8985337 3.2764118 2.9112235
## [456] 2.4668838 1.4812943 0.8625671 2.6582965 2.8331890 2.8757223 3.1376556
## [463] 2.4927981 3.1576987 2.6803417 2.8878837 2.7052157 2.7689887 3.2439488
## [470] 2.5971011 2.5699176 2.7496592 3.4298257 0.9637127 2.8003531 1.2195191
## [477] 2.9380142 2.7902608 2.2586826 2.5352257 2.9062072 2.8640277 2.7416882
## [484] 2.9500643 2.4893707 2.8409432 2.9043767 2.2362818 2.6371363 2.6826091
## [491] 2.3647390 2.4894196 2.3971542 2.6395147 2.4257187 3.1566391 2.7349355
## [498] 2.4072442 3.1830599 2.5471400 2.8028603 2.2173431 2.7368919 3.1955113
## [505] 2.8512299 2.4113562 3.0013563 1.9967963 3.1214460 2.5044737 2.8764638
## [512] 2.6750795 0.9254635 2.4304665 3.0426531 2.7822797 2.9320151 1.1683901
## [519] 2.9322518 2.5628908 3.1908801 2.6722530 2.7510503 2.5317068 2.8954895
## [526] 2.6125881 3.0276401 2.4966623 2.7748312 2.5291113 1.0005046 2.4197216
## [533] 1.3217939 2.6724219 2.6429459 2.0796141 3.1173594 3.1576109 2.9948822
## [540] 2.6516398 2.9837687 0.7522484 2.9543867 3.3178015 2.7381445 1.9099223
## [547] 2.7922030 2.7837726 2.8226264 1.8330427 2.6900907 3.2299554 2.9206685
## [554] 2.8786607 2.9120353 2.9781911 3.5140747 2.7287068 2.8289052 2.8073214
## [561] 2.5061640 2.5286971 2.5441563 1.6028676 2.0514175 2.3863817 2.6817036
## [568] 2.5001891 3.1772711 3.0652013 0.5053129 2.8024807 2.6314842 2.7765284
## [575] 3.0656886 2.8155723 3.0783501 3.0722822 2.7041906 2.3253508 2.6033928
## [582] 2.8816059 1.7882883 2.3478952 2.7802104 1.3286266 3.1458284 3.0329914
## [589] 2.6085354 2.4297905 0.6412397 1.9016023 2.7626780 2.1452704 2.7884519
## [596] 1.0151988 1.5172473 2.8009147 3.0081435 2.4564357 3.5277388 2.4920737
## [603] 2.5300863 1.1895445 2.9311383 3.1034800 2.6179063 2.5664260 2.7719582
## [610] 1.6436236 2.5476629 2.9724769 2.6467753 2.8903531 3.7015980 1.5075827
## [617] 2.9740781 2.6215146 3.0095800 1.9173485 2.5509214 2.3873848 3.5153307
## [624] 2.5282308 2.2792417 2.5401103 2.8617131 2.7577507 1.9509112 2.4340551
## [631] 2.5262565 3.0367937 2.7258832 2.6505044 2.4899369 2.8176123 0.6608526
## [638] 2.6753578 2.4680694 2.7954271 2.8235480 2.7016705 2.4703140 2.6659336
## [645] 2.5257263 2.6163510 3.2483852 1.3408371 2.5472702 2.5394574 2.8156859
## [652] 2.8187001 1.3249082 2.6744924 2.3500520 2.5525101 2.8325556 1.4437484
## [659] 2.7297783 2.5245073 2.4485709 2.7469589 2.7874267 2.9574006 2.8115779
## [666] 2.7486925 2.9486745 2.6915139 2.9670793 2.4400502 2.9489195 2.9624810
## [673] 1.8994412 2.2929091 3.1657692 2.5817772 2.7832687 2.7657470 2.4251236
## [680] 1.3856533 2.7322312 2.5222597 2.7605977 2.6528520 2.5416066 2.5276045
## [687] 2.9745637 3.0951498 2.7832835 2.9049486 2.6175364 2.9130399 2.9632220
## [694] 3.0910651 2.7190713 2.4867580 2.3172648 2.9792690 2.6199385 2.7045752
## [701] 2.4877158 2.3217644 2.4295297 2.6406781 2.2778424 1.5052137 2.7666051
## [708] 3.3241180 2.5583072 2.2991417 2.6380186 2.5706431 2.0521812 2.4423696
## [715] 2.8287762 2.6163705 2.6817969 0.7859717 2.5955306 2.6133307 2.7473813
## [722] 2.4023779 2.8089802 2.6685341 1.9455922 2.5140916 2.6220255 3.0310305
## [729] 2.7683219 2.6953833 2.5060485 2.7545528 3.0132859 3.0986852 2.7209601
## [736] 2.9356534 3.0126062 2.7136696 2.5916725 2.7355759 1.0217297 2.6097592
## [743] 2.7126081 1.4732336 3.2000585 1.4992326 3.3085792 2.8254764 2.1965389
## [750] 3.1563912 2.5642521 2.4912045 2.6694711 2.3617526 2.3249834 2.5918578
## [757] 2.9739545 3.1300146 3.0270502 2.9181656 3.1470748 2.6734068 3.1373813
## [764] 1.7761173 2.5766143 2.6173481 3.0024692 2.6870320 2.4472820 2.7785992
## [771] 2.7785981 2.2669335 2.4185407 2.4569933 2.7148372 2.6443900 2.9564491
## [778] 2.7255357 2.9209944 2.6512129 2.8787851 3.0156279 2.5507011 2.0728670
## [785] 2.4835881 2.2667438 2.4535860 2.8497534 2.9104263 2.6421200 2.6019253
## [792] 2.0475460 2.9254483 2.9946231 2.6438060 1.8425308 2.9948588 2.8872627
## [799] 3.0581233 2.0699203 2.4063073 2.8286518 2.5198364 2.7764964 2.5271588
## [806] 2.5905162 0.8121499 3.1415463 2.1409929 2.5418238 2.8041869 3.3474356
## [813] 1.5979162 2.4850378 2.5231575 1.9192791 2.2506533 2.4400652 3.1501355
## [820] 1.4292815 2.6646186 2.1972993 1.9577697 2.3696832 2.2095306 2.6623621
## [827] 2.6612109 2.9300891 2.7978990 2.2288743 2.6368218 2.6176493 1.5916285
## [834] 1.6250088 2.8569749 2.2356149 2.7402749 2.6293660 2.6618532 2.5750614
## [841] 2.7007729 2.6452722 3.0353687 2.9997734 2.3182679 2.7258768 2.9342254
## [848] 2.7486158 1.7383922 2.5448620 2.8159564 2.5757342 2.8059126 2.8168339
## [855] 2.9421849 2.6526032 3.1929329 2.5253840 2.5683493 2.7157035 2.6662072
## [862] 2.3872235 2.4738851 2.0975045 2.9357378 2.5283669 2.8007248 2.6295155
## [869] 2.0974777 2.7760942 1.0958572 2.5837741 2.5389362 2.8890120 2.5651097
## [876] 2.7935125 3.1376778 2.6536057 2.7243608 2.7416166 2.6993934 2.8937994
## [883] 2.7257628 2.5165229 2.7505719 2.4648511 2.6583600 2.6741744 2.3632557
## [890] 3.2384367 1.2781511 2.3763020 2.4085288 3.3445158 2.9894409 2.9798171
## [897] 2.8778397 2.3511188 2.5636651 1.4112444 1.0051011 2.6200902 2.6637195
## [904] 2.2272507 3.2464653 1.6060891 2.5236519 2.4552769 2.4003296 2.5916038
## [911] 2.3812232 2.5863098 2.8529203 2.3805905 2.9814755 3.6279555 2.6750013
## [918] 2.4029166 2.8070724 2.4375016 2.6322507 2.6861147 2.4913740 2.6334692
## [925] 2.8768486 2.6024206 2.5975828 2.5177906 2.5039833 3.0930660 1.5277618
## [932] 2.5672450 3.1422664 2.1867549 2.8700186 2.7507552 2.2529034 2.4412924
## [939] 3.0017976 1.8892609 2.2116922 2.5321481 3.1586659 2.4124242 2.7320780
## [946] 2.3410321 2.8281643 2.7079528 2.4303877 2.8461925 3.2372245 2.8927690
## [953] 1.0866339 2.5981352 2.7625028 2.6254523 2.8219969 3.0087510 1.8239101
## [960] 2.8598974 2.9220091 2.6297878 3.0990284 1.8147528 1.7128274 2.6291274
## [967] 3.1822870 2.5752136 2.8730359 2.5376084 3.0043376 2.0145977 2.5429410
## [974] 2.8472867 3.0443678 2.5899697 1.3717227 2.7377257 0.5458363 2.8458689
## [981] 2.8569617 2.5393802 2.8276931 2.5301914 2.6257754 1.7665219 2.7180087
## [988] 2.6281320 2.6753548 2.9878808 2.8836481 2.7835690 2.5912792 2.8067555
## [995] 2.8988054 2.7816172 2.6458246 2.8349710 2.6610292 2.3670444b. Estime la media del tiempo de vida para cada sistema.
Media del tiempo de vida para el sistema 1
mean(sistema1)## [1] 5.937646Media del tiempo de vida para el sistema 2
mean(sistema2)## [1] 11.88332Media del tiempo de vida para el sistema 3
mean(sistema3)## [1] 2.565508c. Estime la probabilidad de que los sistemas fallen en un tiempo inferior a dos meses.
Probabilidad de que el sistema 1 falle en un tiempo inferior a dos meses
mean(sistema1 < 2)## [1] 0Probabilidad de que el sistema 2 falle en un tiempo inferior a dos meses
mean(sistema2 < 2)## [1] 0Probabilidad de que el sistema 3 falle en un tiempo inferior a dos meses
mean(sistema3 < 2)## [1] 0.103d. Estime el 20o percentil (P20) de los tiempos de vida del primer sistema .
quantile(sistema1, probs=0.20)## 20%
## 2.798749e. Construya una gráfica de probabilidad normal de los tiempo de vida para cada sistema. ¿Los tiempos de vida de los sistemas tienen una distribución aproximadamente normal?
qqnorm(sistema1); qqline(sistema1)
qqnorm(sistema2); qqline(sistema2)
qqnorm(sistema3); qqline(sistema3)
f. Construya un histograma de los tiempos de vida de los sistemas. ¿Están sesgados a la izquierda, sesgados a la derecha, o son aproximadamente simétricos?
hist(sistema1, main="Sistema 1", col="skyblue", breaks=30)
hist(sistema2, main="Sistema 2", col="salmon", breaks=30)
hist(sistema3, main="Sistema 3", col="lightgreen", breaks=30)
A partir de las gráficas es posible visualizar que en el caso del sistema 1 y del sistema 2 hay un sesgo a la derecha, mientras que en el sistema 3, hay un sesgo a la izquierda.
Problema 4
a. Genere 1000 coordenadas x: X1, . . . , X1000. Utilice la distribución uniforme con valor mínimo de 0 y valor máximo de 1. La distribución uniforme genera variables aleatorias que tienen la misma probabilidad de venir de cualquier parte del intervalo (0,1).
b. Genere 1000 coordenadas y : Y1,…,Y1000, utilizando nuevamente la distribución uniforme con valor mínimo de 0 y valor máximo de 1
a y b
n = 1000
x = runif(n)
y = runif(n)
x## [1] 0.912485795 0.190558337 0.652074029 0.176435539 0.250358845 0.406451414
## [7] 0.145805293 0.641838843 0.300510471 0.501539184 0.163350876 0.509877419
## [13] 0.724818372 0.265357871 0.201622497 0.901898125 0.734201058 0.313189144
## [19] 0.072290668 0.453788462 0.725180871 0.992393802 0.154734614 0.356568675
## [25] 0.648891611 0.953059534 0.679710702 0.463789200 0.524147268 0.492844568
## [31] 0.604323506 0.418518626 0.004986447 0.433297500 0.605528855 0.924852005
## [37] 0.011708337 0.830568599 0.717021829 0.619957400 0.661392392 0.523113490
## [43] 0.486030855 0.204672782 0.997197830 0.810627906 0.390342037 0.810417658
## [49] 0.231103824 0.043580780 0.927269205 0.206061000 0.211712439 0.402243903
## [55] 0.302045172 0.824182939 0.957040235 0.030950197 0.455962300 0.026945119
## [61] 0.624144360 0.650667654 0.443071245 0.665904202 0.427471251 0.025451625
## [67] 0.391576434 0.665772744 0.201086060 0.390570946 0.169105453 0.111782663
## [73] 0.833078783 0.378628791 0.708542271 0.898055180 0.527167083 0.690075998
## [79] 0.641714522 0.953256508 0.108631478 0.644011263 0.071792718 0.345167540
## [85] 0.163323222 0.588336598 0.683686006 0.753422343 0.085422183 0.206584412
## [91] 0.799463614 0.309775737 0.137698878 0.467924427 0.814881148 0.977360563
## [97] 0.769795558 0.549276598 0.781793278 0.585933882 0.451735333 0.134197841
## [103] 0.455303028 0.156371195 0.463733109 0.830874715 0.833026194 0.118289854
## [109] 0.646910514 0.788411197 0.252769561 0.313622493 0.406127645 0.540891799
## [115] 0.726268636 0.657923926 0.634104584 0.619072215 0.195315737 0.664521411
## [121] 0.773834907 0.785934992 0.396645544 0.403960903 0.833753216 0.227205346
## [127] 0.639995624 0.290187138 0.398718285 0.006965907 0.963444123 0.881653658
## [133] 0.277649062 0.893143496 0.498590811 0.241673770 0.092739998 0.996301912
## [139] 0.052139328 0.293466095 0.319778327 0.345442409 0.381792780 0.738202918
## [145] 0.395012144 0.045942178 0.359499166 0.640053491 0.497810260 0.050405918
## [151] 0.490242224 0.997347996 0.781890521 0.037966194 0.815375934 0.906518670
## [157] 0.745155822 0.434749696 0.148683505 0.732679372 0.212140433 0.828480215
## [163] 0.851555782 0.782214787 0.737045584 0.684514822 0.029288064 0.347449545
## [169] 0.140540000 0.786195575 0.156352622 0.862620028 0.862371340 0.306851169
## [175] 0.053241201 0.118869546 0.136162201 0.256530091 0.604712855 0.233561268
## [181] 0.836116656 0.110850724 0.216162305 0.740346629 0.800174112 0.998238581
## [187] 0.906869168 0.657668095 0.716789155 0.213332214 0.060278079 0.548067088
## [193] 0.477322735 0.333580125 0.506832626 0.781435310 0.430900490 0.002760405
## [199] 0.364428549 0.382703712 0.885481540 0.442213171 0.124280727 0.113296824
## [205] 0.295392378 0.243729124 0.525594976 0.164170246 0.414437627 0.835474255
## [211] 0.039245604 0.039779088 0.554015584 0.564289622 0.190664744 0.432825548
## [217] 0.531522489 0.124805050 0.472014679 0.657793703 0.484228275 0.764382887
## [223] 0.452577159 0.207882707 0.157066711 0.685333134 0.471623253 0.085032249
## [229] 0.780115415 0.833757400 0.425092443 0.282749173 0.078383053 0.248189759
## [235] 0.317478921 0.234378695 0.486490511 0.696401354 0.705855489 0.667682935
## [241] 0.565813368 0.128809056 0.363728027 0.041506353 0.976794028 0.138426657
## [247] 0.641898752 0.067336281 0.253372774 0.978326015 0.540445188 0.661192962
## [253] 0.888020445 0.224090807 0.934902779 0.864685251 0.492105615 0.057152010
## [259] 0.337723666 0.369177730 0.558173418 0.339101354 0.770040479 0.305112280
## [265] 0.379182761 0.157602240 0.605447972 0.932979900 0.632436441 0.443758599
## [271] 0.293356214 0.077882651 0.259747533 0.112360796 0.364992921 0.005974234
## [277] 0.351055812 0.600080876 0.543506300 0.324528882 0.397415943 0.876513411
## [283] 0.347530744 0.678360353 0.158620595 0.510582897 0.413253343 0.545018269
## [289] 0.078717590 0.432801096 0.746175901 0.297376373 0.084801839 0.484841777
## [295] 0.490689487 0.233319133 0.059117414 0.999098477 0.381558422 0.250110091
## [301] 0.100380743 0.776942017 0.895024160 0.741294703 0.415995296 0.206585372
## [307] 0.719810886 0.682940207 0.679878663 0.946317513 0.535292175 0.734872964
## [313] 0.028510688 0.401438826 0.315473682 0.580147413 0.452115349 0.877019274
## [319] 0.606221474 0.002314909 0.977029009 0.580503230 0.330354996 0.166558075
## [325] 0.741358648 0.685180048 0.184593962 0.504904649 0.644445230 0.937450539
## [331] 0.902851762 0.769229884 0.715385396 0.523490648 0.563663271 0.528698559
## [337] 0.282228039 0.086736080 0.801814656 0.833034106 0.585656315 0.883655259
## [343] 0.445983357 0.484292321 0.798021409 0.214363603 0.542822057 0.164390080
## [349] 0.806741571 0.961221625 0.530118642 0.835113578 0.955126696 0.595849187
## [355] 0.424133437 0.345986784 0.213252313 0.634933454 0.659492080 0.654207453
## [361] 0.019020814 0.239959141 0.553413469 0.633018402 0.935065700 0.479870916
## [367] 0.275006531 0.027725492 0.441367599 0.040806133 0.525185886 0.418656434
## [373] 0.057922198 0.281273183 0.357539667 0.767141423 0.714000811 0.243194783
## [379] 0.116760313 0.810925381 0.378656098 0.347518658 0.255737897 0.519737114
## [385] 0.878315031 0.200613667 0.190293049 0.194039030 0.510276410 0.396959505
## [391] 0.860018007 0.519490377 0.805242768 0.377062154 0.010352908 0.011975820
## [397] 0.005212480 0.443538723 0.700227536 0.977453545 0.414429593 0.736180295
## [403] 0.421001669 0.978281487 0.145861315 0.366099627 0.419117878 0.322185720
## [409] 0.811275624 0.558373855 0.571315080 0.802844198 0.144367730 0.253568502
## [415] 0.913386454 0.168260085 0.378332367 0.155958804 0.717199152 0.134609747
## [421] 0.808570367 0.966691983 0.874894124 0.027148465 0.421209501 0.023001352
## [427] 0.473677583 0.007263567 0.630794582 0.943773438 0.259426478 0.705688103
## [433] 0.292631906 0.474700605 0.897665735 0.614727411 0.995485063 0.108215845
## [439] 0.777094414 0.735230962 0.341914564 0.576579666 0.135940271 0.059032410
## [445] 0.888397924 0.921276967 0.165035771 0.413290545 0.723698375 0.202515322
## [451] 0.203228237 0.784695676 0.430419903 0.469859756 0.839776900 0.840842326
## [457] 0.512420960 0.391450738 0.032004129 0.478376423 0.477771894 0.889481498
## [463] 0.552425693 0.743851851 0.266826581 0.974750576 0.818256044 0.006958483
## [469] 0.177904548 0.684262866 0.026399513 0.231405924 0.385825373 0.092517582
## [475] 0.900535637 0.915031502 0.886869484 0.439340062 0.634463698 0.506288590
## [481] 0.407015644 0.892349720 0.895377587 0.272778279 0.660080848 0.021674435
## [487] 0.731706953 0.378902309 0.186840811 0.851534960 0.933671273 0.812753052
## [493] 0.090757717 0.354636011 0.842529073 0.120276412 0.547033446 0.351407931
## [499] 0.631989998 0.105680211 0.393221294 0.042866956 0.975974091 0.062509516
## [505] 0.775376737 0.695180994 0.286809987 0.228544585 0.893503415 0.112765063
## [511] 0.411333180 0.719274488 0.770377365 0.178884938 0.358534883 0.826003624
## [517] 0.810899346 0.390843499 0.332685341 0.909578994 0.175986816 0.836074035
## [523] 0.202354549 0.382791552 0.778450411 0.357183215 0.196176491 0.257435504
## [529] 0.532192561 0.752163420 0.113244174 0.151965165 0.297537147 0.511448278
## [535] 0.695276103 0.414521593 0.288433464 0.559254963 0.074974905 0.625411633
## [541] 0.688309102 0.415805643 0.839237989 0.877827359 0.893439379 0.131007089
## [547] 0.682222810 0.113171821 0.947647159 0.411093023 0.510290311 0.550663964
## [553] 0.981630488 0.181450919 0.038791608 0.415377034 0.400037100 0.693724304
## [559] 0.513467500 0.864850617 0.111623101 0.454390908 0.163025365 0.163537320
## [565] 0.302869613 0.371647057 0.544157185 0.820749758 0.244880317 0.843642199
## [571] 0.355025973 0.815043979 0.958677571 0.933765302 0.454819488 0.643906721
## [577] 0.976532027 0.073519044 0.651880932 0.399823515 0.489117041 0.914153406
## [583] 0.746820602 0.282598688 0.173604939 0.533639510 0.851967919 0.174216531
## [589] 0.961545008 0.546455353 0.796376013 0.191105378 0.439861154 0.144773691
## [595] 0.157378805 0.308743295 0.325893122 0.934807954 0.427595644 0.878490312
## [601] 0.738988358 0.769707511 0.284240073 0.384650495 0.186003350 0.230315620
## [607] 0.134733155 0.265421302 0.881510046 0.390126310 0.037205637 0.917766512
## [613] 0.075829349 0.943964463 0.417715091 0.958226345 0.466976801 0.609051939
## [619] 0.991087233 0.203710275 0.047822613 0.357699921 0.432291958 0.589610940
## [625] 0.162656014 0.265232369 0.026426524 0.969544260 0.395195295 0.972729031
## [631] 0.541062687 0.271990933 0.294913482 0.328250570 0.925355484 0.162443229
## [637] 0.214668710 0.417979121 0.946569456 0.290885468 0.126019855 0.009119971
## [643] 0.796380847 0.862444409 0.723492437 0.575430979 0.205271783 0.093996964
## [649] 0.803410181 0.850157366 0.895635163 0.926422820 0.037964172 0.036694288
## [655] 0.500708049 0.772542112 0.599783147 0.695174095 0.249763852 0.549773981
## [661] 0.420863042 0.468775521 0.713133662 0.389420127 0.016173664 0.637104317
## [667] 0.879921318 0.533331569 0.974582280 0.912774962 0.789734040 0.733701047
## [673] 0.295671720 0.679912850 0.351785133 0.340087101 0.898434756 0.605693676
## [679] 0.506079332 0.119007039 0.267605603 0.574931645 0.065264490 0.608295565
## [685] 0.986892954 0.069328458 0.523108208 0.662734694 0.847430916 0.234899776
## [691] 0.271400420 0.503993806 0.026411332 0.487593142 0.980500828 0.581036433
## [697] 0.277049902 0.732818377 0.333328580 0.315446198 0.326484242 0.439408288
## [703] 0.807883814 0.285812748 0.278184004 0.074247696 0.821541132 0.517730743
## [709] 0.889878671 0.993963330 0.023356690 0.366507154 0.948699730 0.058620901
## [715] 0.494039570 0.479176861 0.803820451 0.077616360 0.960891773 0.204619170
## [721] 0.582417043 0.834715958 0.108790504 0.350592117 0.622522546 0.840458871
## [727] 0.020257999 0.045489553 0.077317860 0.616751790 0.755922287 0.762862516
## [733] 0.283154432 0.640398899 0.462203086 0.276585293 0.102568522 0.418486644
## [739] 0.233659186 0.396186359 0.262372588 0.680482253 0.983482586 0.997683567
## [745] 0.619193946 0.557194811 0.229129459 0.383497960 0.532721485 0.674283697
## [751] 0.981469409 0.234451477 0.581056052 0.382840579 0.055909151 0.152608143
## [757] 0.044273909 0.635060670 0.558851193 0.785479603 0.790893365 0.590415099
## [763] 0.907634211 0.357488344 0.175989831 0.626107125 0.578800675 0.171960510
## [769] 0.290528476 0.048257693 0.003560529 0.355026163 0.658534711 0.539876085
## [775] 0.064797641 0.025984841 0.950805447 0.258554528 0.998018751 0.458004169
## [781] 0.841451119 0.742217808 0.766107789 0.690255926 0.682184323 0.679274894
## [787] 0.714576365 0.049762996 0.885589209 0.847500901 0.706701183 0.306495656
## [793] 0.056209339 0.877989581 0.893422917 0.991229810 0.096455473 0.148278893
## [799] 0.442242149 0.941057644 0.470841666 0.670611766 0.771655180 0.682663521
## [805] 0.691271879 0.979548888 0.615397013 0.659670840 0.337372833 0.002538000
## [811] 0.176749300 0.751703522 0.818212860 0.633024158 0.669331912 0.655578548
## [817] 0.890801149 0.822992053 0.711067809 0.912067990 0.978683691 0.997027739
## [823] 0.832814552 0.970356083 0.250264853 0.704622210 0.069884655 0.375325631
## [829] 0.493351795 0.594707639 0.084757003 0.484006656 0.816262072 0.410548840
## [835] 0.755644324 0.933280339 0.228804382 0.161418655 0.022451152 0.981051326
## [841] 0.455933894 0.608255863 0.837413690 0.156450201 0.212990159 0.143647530
## [847] 0.292209943 0.621441890 0.458720029 0.643218101 0.366995445 0.657538710
## [853] 0.149242422 0.645058348 0.729237760 0.779527069 0.571099727 0.107191412
## [859] 0.209494957 0.680886450 0.924497091 0.258273467 0.490987515 0.937617016
## [865] 0.556016511 0.907747420 0.308028289 0.510321520 0.218860535 0.781092090
## [871] 0.565138891 0.546766573 0.017065653 0.462894864 0.366218216 0.537234567
## [877] 0.635356039 0.382878573 0.419357100 0.780978750 0.940899550 0.666340411
## [883] 0.663221999 0.418940733 0.521499122 0.248686363 0.855610053 0.195082639
## [889] 0.855393082 0.341505284 0.511792303 0.705974161 0.649293179 0.906568524
## [895] 0.056005143 0.243387572 0.441901514 0.782607771 0.431633929 0.697018958
## [901] 0.299612815 0.575197017 0.918858734 0.893107567 0.117322121 0.376304761
## [907] 0.936308167 0.523421644 0.734589397 0.944707714 0.015777460 0.266693323
## [913] 0.166530110 0.726724795 0.715763384 0.112876750 0.502245140 0.052631769
## [919] 0.275441949 0.633850664 0.854968174 0.078124844 0.098575376 0.583028535
## [925] 0.994833910 0.890579823 0.555338080 0.704500236 0.603343063 0.633778251
## [931] 0.829980438 0.801426705 0.143289425 0.772381374 0.463562427 0.820142462
## [937] 0.381819884 0.119950633 0.794580191 0.655926992 0.385351632 0.098421209
## [943] 0.524016715 0.746937407 0.642533764 0.933592290 0.170306314 0.032320870
## [949] 0.300447703 0.727603877 0.890565525 0.516816351 0.907341151 0.559720986
## [955] 0.898393434 0.700705192 0.555312207 0.827759703 0.041271201 0.903258587
## [961] 0.699068060 0.344667563 0.295034876 0.839989820 0.409457756 0.085151249
## [967] 0.717726978 0.595668228 0.849063547 0.042928602 0.117825482 0.808378509
## [973] 0.325323277 0.270839533 0.649362702 0.284202957 0.495380266 0.390880966
## [979] 0.964541985 0.292394889 0.256621476 0.756798313 0.842430584 0.198556703
## [985] 0.082500841 0.252558965 0.082621679 0.405226236 0.488740962 0.502959513
## [991] 0.703212224 0.818398973 0.880161099 0.879132389 0.574824128 0.092086463
## [997] 0.033595934 0.484339471 0.462317283 0.213057705y## [1] 0.597462578 0.231902850 0.290663997 0.302284396 0.334375074 0.240865560
## [7] 0.308848570 0.950072415 0.092448316 0.908697600 0.545550384 0.870978862
## [13] 0.422660872 0.736718310 0.828251053 0.883608844 0.744854389 0.609141008
## [19] 0.123370080 0.298941439 0.629131491 0.066493116 0.173695812 0.143514360
## [25] 0.669536160 0.400022587 0.035979332 0.976809812 0.042829670 0.553893376
## [31] 0.257641876 0.271350968 0.542099786 0.726954951 0.960128685 0.446362596
## [37] 0.073455546 0.492521877 0.804622468 0.922591808 0.572736701 0.041743241
## [43] 0.762859743 0.507653323 0.779072297 0.450939374 0.198635312 0.246001645
## [49] 0.543880973 0.043798855 0.936987323 0.214741668 0.654774468 0.094204681
## [55] 0.005315155 0.075235927 0.897112986 0.707779312 0.522535760 0.250022549
## [61] 0.821691167 0.116779929 0.791354111 0.332452202 0.282723462 0.352947049
## [67] 0.632664347 0.259057379 0.911117214 0.095924214 0.196371387 0.935579150
## [73] 0.368505738 0.619773866 0.911712900 0.373052369 0.177052838 0.167023018
## [79] 0.426074173 0.673848172 0.506187685 0.635632467 0.794946614 0.543546563
## [85] 0.873277362 0.309422729 0.473132448 0.067927512 0.543737901 0.777404675
## [91] 0.157669718 0.610484326 0.123170609 0.870597250 0.253131985 0.384625702
## [97] 0.843217399 0.511037365 0.484170451 0.611305026 0.972098147 0.374762631
## [103] 0.641699292 0.215802569 0.093357189 0.277395740 0.449109455 0.365550444
## [109] 0.198821169 0.782884983 0.020919462 0.014666801 0.710688144 0.311836597
## [115] 0.106414864 0.962341387 0.757272716 0.995417212 0.415720133 0.109089657
## [121] 0.084732594 0.643641244 0.791611409 0.749179140 0.146724378 0.879088124
## [127] 0.806609112 0.127371377 0.461926635 0.182696009 0.803912175 0.946374770
## [133] 0.683010001 0.769467808 0.816229883 0.689671980 0.909727188 0.847180130
## [139] 0.088472959 0.323670921 0.223165659 0.599213525 0.863527605 0.489881532
## [145] 0.413139358 0.072284348 0.321250298 0.297946149 0.886144323 0.018124795
## [151] 0.885487015 0.919497259 0.125458939 0.800983952 0.025493963 0.597127435
## [157] 0.525019035 0.535916007 0.404774679 0.358548403 0.949654492 0.120621926
## [163] 0.932835161 0.029124672 0.488091196 0.530094942 0.163620672 0.211831469
## [169] 0.800091964 0.307753908 0.570850381 0.125225367 0.762306103 0.707415512
## [175] 0.835718699 0.430881179 0.122867230 0.084051854 0.024441782 0.457162026
## [181] 0.521335296 0.988478645 0.785157406 0.917237357 0.217558590 0.084886747
## [187] 0.967258380 0.211673330 0.247019377 0.520714319 0.425374831 0.364638327
## [193] 0.338530792 0.926189485 0.664013625 0.114192942 0.243644534 0.811188167
## [199] 0.853817776 0.097039674 0.391332948 0.437812216 0.138548121 0.000668017
## [205] 0.799310124 0.764778350 0.497937054 0.224282505 0.646571201 0.364328757
## [211] 0.581519502 0.792228220 0.716413863 0.816311819 0.475645829 0.733872270
## [217] 0.966427199 0.565667780 0.013201638 0.127618710 0.179847697 0.198156428
## [223] 0.511611812 0.704261408 0.607596637 0.512027704 0.330089665 0.120775891
## [229] 0.653704858 0.406715357 0.482039087 0.390426457 0.721582280 0.457304231
## [235] 0.904599691 0.239704066 0.591342270 0.660714966 0.061587972 0.914277678
## [241] 0.608421573 0.999422838 0.348523176 0.917668969 0.521002006 0.383321912
## [247] 0.595514878 0.445183881 0.247064662 0.865192456 0.004606470 0.819030297
## [253] 0.563539516 0.651123881 0.678236126 0.097246819 0.653174409 0.570305650
## [259] 0.621338352 0.142357776 0.852466800 0.594005746 0.275474140 0.786616524
## [265] 0.244439265 0.265106707 0.442567280 0.267907366 0.594828944 0.587763084
## [271] 0.920592043 0.180340501 0.730994674 0.199547030 0.933627027 0.872626734
## [277] 0.518344288 0.851883697 0.945070228 0.612344801 0.189083550 0.706762561
## [283] 0.276822714 0.748918203 0.495453835 0.336275490 0.620568828 0.057534608
## [289] 0.894043635 0.171270140 0.381644945 0.261901682 0.755930486 0.042548932
## [295] 0.328162018 0.814672929 0.989795886 0.583094683 0.521274673 0.715632081
## [301] 0.262137864 0.030971901 0.391564990 0.868067695 0.554836203 0.346945493
## [307] 0.112032408 0.392008636 0.214449886 0.537653866 0.388745370 0.677219021
## [313] 0.606992218 0.913083759 0.473400073 0.114099736 0.500480072 0.721600558
## [319] 0.120510281 0.422712808 0.551980872 0.395995198 0.226717873 0.680130028
## [325] 0.064827010 0.800416021 0.811051023 0.982025163 0.369372188 0.129798573
## [331] 0.200629879 0.467023585 0.120204779 0.978304572 0.351713929 0.919096897
## [337] 0.343184634 0.425703746 0.939777138 0.013778868 0.697129790 0.203692075
## [343] 0.777352887 0.927540966 0.410455431 0.391523494 0.524904651 0.677736786
## [349] 0.907743313 0.306553522 0.570164231 0.075436424 0.238698400 0.772958749
## [355] 0.762584629 0.465911699 0.126489530 0.927662556 0.731908210 0.725254422
## [361] 0.184772253 0.166445000 0.105282076 0.193630619 0.481126914 0.170597114
## [367] 0.671471357 0.996603409 0.259277698 0.328690337 0.475165126 0.978197718
## [373] 0.142536142 0.601888816 0.812785579 0.033310699 0.407772059 0.737446534
## [379] 0.667719855 0.040483817 0.816159839 0.255074664 0.910946255 0.062996149
## [385] 0.891564839 0.399663827 0.648045117 0.075158811 0.395425086 0.886297630
## [391] 0.124828833 0.980343707 0.528732953 0.830869910 0.085905950 0.983220753
## [397] 0.793103557 0.108400482 0.593788072 0.418282831 0.088133016 0.474548456
## [403] 0.053059650 0.135463328 0.871553364 0.479539044 0.224041055 0.585355700
## [409] 0.035801950 0.095055872 0.553587082 0.822167553 0.509972680 0.056263764
## [415] 0.180037262 0.584092396 0.336602880 0.198853751 0.965023372 0.997020223
## [421] 0.881167877 0.808100695 0.852727578 0.216845750 0.300835400 0.135595555
## [427] 0.713041333 0.387532869 0.857363787 0.824796994 0.233813556 0.385409826
## [433] 0.733052230 0.219243804 0.003622057 0.482830280 0.603971107 0.917086832
## [439] 0.273501340 0.751986711 0.298710583 0.365417168 0.493239881 0.622983014
## [445] 0.145737562 0.415185796 0.648029385 0.784353877 0.296275597 0.293207366
## [451] 0.449257330 0.856057434 0.756276951 0.086291195 0.005219055 0.463868374
## [457] 0.462162514 0.156844234 0.885186576 0.993178691 0.225145401 0.644093091
## [463] 0.644194939 0.596358740 0.023120759 0.700942289 0.609061110 0.298733005
## [469] 0.576565370 0.724385229 0.611732070 0.926423359 0.384272027 0.084835579
## [475] 0.027958702 0.009441319 0.542985535 0.259151967 0.723691743 0.333471404
## [481] 0.566545055 0.520418569 0.744196832 0.779322560 0.369092967 0.679652467
## [487] 0.269789006 0.339782481 0.589969423 0.529844861 0.745685654 0.145951338
## [493] 0.628349234 0.289782973 0.728547961 0.556522172 0.669199683 0.600073590
## [499] 0.078754157 0.208198893 0.408621264 0.884835682 0.189397654 0.656699589
## [505] 0.891341884 0.002251055 0.849840037 0.121342793 0.932742698 0.776591141
## [511] 0.681883053 0.820338552 0.205145446 0.610457525 0.815983458 0.956774435
## [517] 0.500986842 0.845445924 0.796136589 0.043332480 0.402721155 0.285377091
## [523] 0.129927084 0.773780251 0.457541571 0.867203670 0.445140029 0.264307570
## [529] 0.686038315 0.441087516 0.300899518 0.345278889 0.701949864 0.362884288
## [535] 0.370614248 0.965016106 0.860622978 0.504283277 0.522833971 0.726304719
## [541] 0.678358650 0.379162226 0.700256123 0.108042951 0.704553593 0.901827888
## [547] 0.789651313 0.269269978 0.834312063 0.419705800 0.677013316 0.723040143
## [553] 0.480171083 0.755617741 0.941853614 0.650751916 0.824417762 0.599897237
## [559] 0.022477490 0.586398056 0.311073269 0.657130754 0.159181464 0.154301194
## [565] 0.874185439 0.845660012 0.737926657 0.887306685 0.276090074 0.222142423
## [571] 0.282677738 0.214645106 0.337609996 0.797575251 0.124356099 0.054201183
## [577] 0.269054061 0.521387946 0.126246847 0.230295138 0.238159224 0.120260209
## [583] 0.857737324 0.783382707 0.309287135 0.879893764 0.445556537 0.610268895
## [589] 0.627114248 0.747314050 0.504836311 0.130444711 0.440138625 0.789316280
## [595] 0.438245244 0.405397162 0.832688243 0.926430416 0.237076860 0.273507565
## [601] 0.671761315 0.338184435 0.942537902 0.348296359 0.491370817 0.551123492
## [607] 0.745141287 0.181897127 0.622018700 0.973275667 0.489948815 0.165127159
## [613] 0.315726763 0.968241280 0.465865664 0.917547236 0.241901984 0.619447587
## [619] 0.617092947 0.302272958 0.836812801 0.943655417 0.826980247 0.376186338
## [625] 0.832745553 0.054167813 0.638635583 0.194743492 0.591300890 0.530697769
## [631] 0.835820660 0.531347116 0.647239395 0.308619534 0.506220680 0.195954032
## [637] 0.173433461 0.255977551 0.003225951 0.677560499 0.029678654 0.369796837
## [643] 0.323444593 0.560286566 0.336175106 0.739879610 0.188403891 0.143835682
## [649] 0.085838320 0.658797225 0.021280471 0.264050903 0.585430678 0.307009650
## [655] 0.814132376 0.963698179 0.371643084 0.872328814 0.778164214 0.862150269
## [661] 0.840263683 0.492615473 0.002838651 0.304002320 0.154439822 0.133002307
## [667] 0.018666245 0.373835220 0.186206447 0.249400583 0.326960273 0.057528588
## [673] 0.557623321 0.478882404 0.811873635 0.062510905 0.595371450 0.418628131
## [679] 0.746224816 0.181983610 0.385098394 0.503362806 0.775569625 0.025610622
## [685] 0.784274525 0.197393691 0.942085184 0.846839524 0.398006947 0.732786549
## [691] 0.947215773 0.651557278 0.789011888 0.734353801 0.603913462 0.205404099
## [697] 0.294630640 0.222325726 0.667134393 0.910235564 0.619908875 0.382757054
## [703] 0.653035560 0.295652809 0.727886231 0.812860257 0.915244185 0.420198689
## [709] 0.946244679 0.408545418 0.045493338 0.074400592 0.603299327 0.855522072
## [715] 0.246649120 0.149807657 0.386412450 0.861045213 0.439385380 0.144875058
## [721] 0.383764818 0.442103118 0.170370161 0.980755562 0.203724720 0.324157814
## [727] 0.785594141 0.078851697 0.312996997 0.832307410 0.490575472 0.571996228
## [733] 0.748033189 0.047346186 0.358533919 0.391301212 0.534578383 0.854395209
## [739] 0.592824865 0.723332946 0.286526880 0.848022072 0.214899929 0.002963223
## [745] 0.735116614 0.750036815 0.457466648 0.016024066 0.206912898 0.900968111
## [751] 0.678933203 0.129689900 0.585327885 0.073313701 0.308441586 0.907629250
## [757] 0.794370928 0.500881024 0.348854201 0.204551466 0.498710982 0.174352213
## [763] 0.017187141 0.653331283 0.460074482 0.637091307 0.077697643 0.514316481
## [769] 0.034799321 0.845747698 0.635635695 0.545662010 0.383239116 0.437304538
## [775] 0.977263794 0.041547516 0.897890670 0.486937333 0.501341706 0.351142309
## [781] 0.776961059 0.434534513 0.317372167 0.683141530 0.964281471 0.158701122
## [787] 0.182879850 0.427361114 0.864308094 0.938220453 0.508824909 0.857974633
## [793] 0.986288685 0.252192701 0.255899936 0.090258172 0.162969960 0.500206784
## [799] 0.731638545 0.490995112 0.701686135 0.558427880 0.363632362 0.132765043
## [805] 0.536822141 0.917371605 0.932539220 0.588671217 0.596159221 0.022870263
## [811] 0.545711888 0.791840459 0.268144362 0.444314737 0.821442012 0.404450117
## [817] 0.640247731 0.427375061 0.525969152 0.467984702 0.514255547 0.971472817
## [823] 0.691245695 0.790908556 0.205586975 0.062388439 0.277890951 0.451082561
## [829] 0.770618697 0.521780498 0.106258129 0.075543975 0.853641804 0.345382244
## [835] 0.629749235 0.989528638 0.326202076 0.368188205 0.476513838 0.355780743
## [841] 0.962882693 0.147222747 0.080907922 0.957768050 0.919652180 0.214643255
## [847] 0.700791736 0.921052417 0.730192618 0.494639867 0.872511998 0.126076039
## [853] 0.697467921 0.954766990 0.809104020 0.734557487 0.310849357 0.045422654
## [859] 0.232750202 0.369524254 0.574607143 0.291887719 0.390869057 0.863709426
## [865] 0.462831888 0.604947082 0.336162111 0.289689014 0.459725851 0.489239165
## [871] 0.588833924 0.627085728 0.352429310 0.577037371 0.330591455 0.557671343
## [877] 0.028155751 0.831754192 0.533392393 0.921501373 0.551931825 0.875504441
## [883] 0.195193443 0.538723464 0.122142728 0.907537193 0.957729274 0.785213807
## [889] 0.368423947 0.231414991 0.705337463 0.718516054 0.296627185 0.441956901
## [895] 0.102887855 0.716792499 0.951717499 0.593060508 0.507553019 0.084395566
## [901] 0.830208743 0.953009667 0.286978202 0.460019917 0.930854994 0.134704832
## [907] 0.691062349 0.224023020 0.749416398 0.803397800 0.388587005 0.400926638
## [913] 0.014747837 0.608435672 0.398546236 0.072709420 0.037048610 0.469626531
## [919] 0.160999016 0.486667408 0.855157094 0.775483182 0.338101793 0.117982544
## [925] 0.535430199 0.445297222 0.178849655 0.281480988 0.816534718 0.245520650
## [931] 0.296209923 0.033321062 0.006773176 0.440510494 0.270614109 0.898169217
## [937] 0.394361029 0.855901130 0.719115142 0.474146235 0.172790151 0.845877151
## [943] 0.924663834 0.346420151 0.840115208 0.402261187 0.987009508 0.982269846
## [949] 0.607513741 0.486123855 0.209977618 0.737175459 0.238568001 0.101495530
## [955] 0.466094798 0.494808021 0.703561708 0.049585023 0.119261503 0.715745603
## [961] 0.654839701 0.105538200 0.371208610 0.981823334 0.064683455 0.588239630
## [967] 0.193437997 0.627908065 0.822966295 0.763228999 0.454199466 0.795103848
## [973] 0.970336177 0.558387112 0.284751430 0.768979700 0.540322402 0.787205426
## [979] 0.288338228 0.427156518 0.857298004 0.515351617 0.600807335 0.998062550
## [985] 0.530856674 0.474452704 0.901650925 0.568543920 0.096583684 0.668202516
## [991] 0.622521874 0.178452766 0.037952972 0.262765230 0.053426699 0.838533160
## [997] 0.514043272 0.683914821 0.166242829 0.533105166c. Cada punto (Xi,Yi) se encuentra dentro del círculo si su distancia desde el centro (0.5,0.5) es menor a 0.5. Para cada par (Xi,Yi) determine si la distancia desde el centro es menor a 0.5. Esto último se puede realizar al calcular el valor \((Xi−0.5)^2+(Yi−0.5)^2\), que es el cuadrado de la distancia, y al determinar si es menor que 0.25.
dist_centro = (x-0.5)^2+(y-0.5)^2
dentro_circulo = dist_centro<=0.25d. ¿Cuántos de los puntos están dentro del círculo? ¿Cuál es su estimación de π? (Nota: Con sólo 1000 puntos, es probable que su estimación sea inferior por 0.05 o más. Una simulación con 10000 y 100000 puntos tiene mayores probabilidades de dar como resultado una estimación muy cercana al valor verdadero)
estimacion_pi = 4 * mean(dentro_circulo)
sum(dentro_circulo)## [1] 788estimacion_pi## [1] 3.152plot(x, y, col = ifelse(dentro_circulo, "blue", "red"), asp = 1, pch = 16,
main = "Estimación de pi con 1000 puntos")
symbols(0.5, 0.5, circles = 0.5, inches = FALSE, add = TRUE)
Problema 5
a. Genere una muestra simulada de 5000 pistones.
n = 5000
diametros = rnorm(n, mean = 10, sd = 0.02)
diametros## [1] 10.007777 9.997562 9.996574 10.003785 9.975382 10.015798 9.973531
## [8] 9.998056 9.980260 9.988168 10.013508 10.009402 9.993909 10.014189
## [15] 9.969299 10.009377 9.991770 9.993822 9.994824 9.970807 10.020341
## [22] 10.003430 9.970313 9.977222 9.974160 9.977728 10.011808 10.022337
## [29] 9.995102 10.025005 9.991862 10.035788 10.007158 9.983460 9.970635
## [36] 10.022834 9.980115 9.993599 10.036840 9.959380 9.983173 10.005392
## [43] 9.991471 9.996697 10.031730 9.994810 9.995492 10.001427 9.990694
## [50] 9.997050 9.983152 10.042656 10.009034 9.981702 10.010769 9.976241
## [57] 10.015704 10.015174 9.990099 9.953385 10.006454 9.981254 10.003904
## [64] 9.965397 9.958458 9.979468 10.035304 9.994919 9.994557 10.014242
## [71] 10.001082 9.981459 10.027062 9.983703 10.014806 9.983244 9.964961
## [78] 10.017139 10.013447 9.994772 9.990476 9.989223 10.025723 10.004861
## [85] 9.975202 9.940035 9.970640 9.957615 9.959964 9.983451 10.034082
## [92] 10.024476 9.996934 10.011881 10.010740 9.994892 10.005479 10.018797
## [99] 10.020546 10.006127 10.033638 9.983318 9.987408 9.997504 9.979640
## [106] 9.986693 9.999237 10.030072 9.991028 10.016635 10.033892 10.018672
## [113] 9.997730 10.003705 9.969463 10.004923 9.994311 9.977961 9.962847
## [120] 10.017096 9.994585 10.001239 9.999859 9.995582 9.997136 9.994888
## [127] 9.967356 10.012368 10.017796 10.004909 9.994960 9.960733 10.012779
## [134] 9.991146 10.045651 9.969784 10.011804 9.997991 9.998981 10.010224
## [141] 10.045400 9.995138 10.007554 10.020912 10.015643 9.996954 10.019541
## [148] 9.988182 10.022908 10.005399 10.015651 9.986001 10.001710 10.000009
## [155] 10.018167 9.991052 9.972902 10.006189 10.005817 9.989422 9.986207
## [162] 9.952589 10.022563 9.955722 10.042052 10.010158 9.986039 10.014578
## [169] 10.023985 9.990957 10.051455 10.027323 10.018632 9.994911 10.018352
## [176] 10.003430 9.992757 10.005177 10.038996 10.018634 9.988443 10.006893
## [183] 10.015561 9.995782 10.010203 9.987387 9.990855 10.017559 9.963110
## [190] 10.017606 9.970994 10.050049 9.992454 9.989153 9.989018 10.016811
## [197] 9.986495 9.996918 9.942207 10.001034 10.023923 9.992912 10.038622
## [204] 9.991761 9.950197 10.023109 9.984758 10.003771 9.988487 10.008460
## [211] 10.010755 10.012722 10.005443 10.010692 10.016284 9.988861 10.001671
## [218] 10.035214 10.007335 9.972554 10.020221 9.990844 9.981509 10.003509
## [225] 10.018229 9.989139 9.989907 9.973075 10.014446 10.021607 9.989555
## [232] 10.023570 9.987949 9.987021 10.002609 9.970712 9.976345 10.037653
## [239] 9.979694 9.972630 10.000332 9.996176 9.985195 10.003404 10.035774
## [246] 9.970862 9.963432 10.017164 9.973860 10.024243 10.001308 9.971934
## [253] 10.040911 10.020429 9.989659 9.972748 9.991998 9.990081 9.994255
## [260] 10.005657 9.996442 9.980941 9.971038 10.022509 10.011690 10.031676
## [267] 10.023741 9.998285 10.004433 9.989843 10.001135 10.014216 10.007949
## [274] 10.017428 10.043161 10.008868 9.969997 10.013095 9.986406 10.006928
## [281] 10.001696 10.018927 9.976764 9.998639 10.033099 10.040136 9.994881
## [288] 9.998099 10.001967 9.979359 9.990729 10.003051 10.036500 9.996078
## [295] 10.002139 10.020747 10.014728 10.001074 10.032095 10.020825 10.018016
## [302] 10.008728 9.999744 10.002836 9.971410 9.989652 10.003481 10.012781
## [309] 10.021578 9.990807 10.002990 9.986788 10.035133 10.010383 10.033076
## [316] 10.005007 9.977886 10.017738 10.004467 10.028352 10.009514 9.974123
## [323] 10.036041 9.990549 10.025514 10.013576 10.022476 9.984700 10.012029
## [330] 10.008183 9.991006 10.003039 9.981616 10.030006 10.008825 10.013486
## [337] 10.007771 10.009594 10.007723 9.992752 10.004032 10.042614 9.985289
## [344] 10.028657 10.024138 10.029690 10.000950 9.991649 9.983013 9.976220
## [351] 9.991876 9.993983 10.019229 9.984666 10.037116 10.042508 9.981582
## [358] 9.990253 9.989621 9.975199 9.992852 10.018137 9.995783 9.990533
## [365] 10.008474 9.980913 9.977016 9.986358 9.991962 10.022367 9.959032
## [372] 9.964646 9.998675 9.991534 10.003135 9.995634 9.985081 9.982054
## [379] 10.007410 9.970080 10.007290 9.963934 9.961439 9.975754 9.956911
## [386] 9.990692 9.999014 9.982335 10.029815 9.987013 9.965395 10.024600
## [393] 10.014612 9.992930 9.988250 9.991958 9.997000 10.003115 9.986183
## [400] 9.999021 9.992677 10.000629 10.054001 10.003193 10.033658 10.039200
## [407] 9.995394 9.980429 9.986981 9.976993 10.017736 9.979574 9.975804
## [414] 10.000292 9.989554 9.997276 10.033547 9.991327 9.980763 9.988970
## [421] 9.969363 10.005929 10.025876 9.976957 9.995162 9.990839 10.023182
## [428] 9.988912 9.969302 9.998111 9.994934 10.005175 10.022808 9.992133
## [435] 10.029035 9.978045 10.020754 9.969427 9.993288 10.006052 9.982085
## [442] 10.027876 9.981563 9.998427 9.998382 9.979764 9.997413 10.012687
## [449] 9.989566 9.975401 9.980767 10.042539 9.986264 10.013271 10.010556
## [456] 9.992110 9.997441 10.017139 9.990569 9.983857 9.979804 9.998350
## [463] 10.020677 9.998999 10.012333 10.020601 9.998880 9.991914 10.022917
## [470] 10.004340 10.000254 10.018765 10.010703 9.989906 9.972223 9.963057
## [477] 9.995387 9.993854 9.971515 10.006598 9.990875 9.960188 9.986494
## [484] 10.001045 10.032089 9.984871 10.008606 10.003865 9.958430 10.003190
## [491] 9.974281 10.009354 9.973670 10.038702 10.023766 10.042963 10.007967
## [498] 10.015282 9.975269 9.982984 10.002218 10.009588 10.041656 9.997774
## [505] 10.020247 9.984874 9.988021 10.022502 10.030368 9.973474 10.024303
## [512] 10.005578 10.023369 9.978711 10.003086 9.952975 10.038290 10.006319
## [519] 10.012080 9.970940 10.018275 9.995580 9.986035 9.987382 9.991872
## [526] 10.008073 9.976801 9.991296 10.022110 9.990833 10.013949 10.008703
## [533] 9.970157 9.984282 9.982566 9.993881 9.988338 9.992192 10.001128
## [540] 9.989523 10.019373 9.991998 10.016353 10.005178 10.008863 10.000671
## [547] 10.015129 9.991162 10.026538 10.006208 10.019997 9.984588 9.950160
## [554] 9.971873 9.963931 10.055982 9.997888 9.994710 10.009115 9.984350
## [561] 10.027601 10.000139 10.000501 10.019911 9.996702 10.036037 9.980982
## [568] 9.983593 9.991621 9.990786 10.020866 10.032198 9.972331 9.982747
## [575] 9.992579 10.014382 10.016434 9.962283 10.024717 10.003882 10.005561
## [582] 9.981157 10.025839 9.990481 9.969233 9.956121 9.998386 10.012655
## [589] 9.967190 9.962247 9.994119 10.016629 9.991798 9.995687 9.999069
## [596] 9.953934 9.989500 9.966230 9.990092 10.025824 10.004902 9.991060
## [603] 9.973631 10.022562 9.978612 10.019500 10.005876 9.980268 10.013328
## [610] 9.974005 10.032382 9.990040 9.987182 9.985596 9.992446 10.039861
## [617] 9.997424 9.999818 9.976095 10.013952 10.011057 10.017126 10.005936
## [624] 9.996792 10.027107 10.012339 9.992172 10.024912 9.984969 10.002651
## [631] 9.962825 9.984670 10.013385 10.021835 10.009907 10.004683 9.993896
## [638] 9.981086 9.968937 10.024767 9.984529 10.025051 9.979719 10.034396
## [645] 10.023027 10.008939 9.998122 9.977815 10.031216 10.001763 10.001675
## [652] 10.039290 10.041503 9.981004 10.004097 10.001598 9.965617 9.989740
## [659] 9.988967 9.985491 10.002379 10.006203 9.995938 9.990894 9.982913
## [666] 9.967125 10.034720 10.004648 9.997414 10.032136 9.992986 9.960386
## [673] 10.044205 10.010086 10.022503 10.012571 9.996606 10.033721 9.961278
## [680] 9.993846 9.992055 9.985025 10.011014 10.011638 9.995504 10.018214
## [687] 9.989699 9.994292 10.000866 10.006703 10.023955 10.020190 9.994581
## [694] 9.994085 10.012743 10.024407 9.987490 9.963107 10.005731 10.020264
## [701] 10.009212 10.006317 10.016604 10.019399 10.003932 10.034525 9.993425
## [708] 10.009591 10.021252 9.994765 10.021963 9.998180 10.016958 10.028554
## [715] 9.999426 10.005294 9.996530 10.028355 10.000584 10.001473 10.000059
## [722] 10.012886 10.005521 9.987238 10.004991 10.030613 9.999780 9.981952
## [729] 10.000780 9.967660 9.998232 9.978700 10.028565 9.953948 10.018319
## [736] 10.003335 9.993052 9.999532 10.011778 9.963374 9.981305 9.988532
## [743] 10.000221 9.999629 10.000450 9.991824 10.003892 10.024169 9.997813
## [750] 10.013396 10.004599 10.055401 10.014778 9.958468 9.942412 10.009150
## [757] 9.974795 10.036618 10.008221 10.017695 9.982081 9.985278 10.016327
## [764] 9.967757 10.000979 10.008423 10.059315 9.997940 9.993744 9.973542
## [771] 10.014615 10.015436 9.995426 10.009728 10.011877 10.033222 9.991751
## [778] 10.024742 10.038999 10.013062 9.998310 9.969103 9.977375 10.016773
## [785] 10.018838 9.964488 10.019368 9.995575 9.965092 9.994384 9.957842
## [792] 10.034775 10.016170 9.971090 9.995652 9.980621 9.999970 9.986116
## [799] 10.014795 9.993771 9.993063 10.009399 10.012922 9.992127 10.028830
## [806] 9.993632 9.977615 9.959900 10.003482 9.970856 10.014208 10.011873
## [813] 10.033509 9.992823 9.985946 9.984294 10.007442 9.957255 10.018234
## [820] 9.977167 9.979642 9.989805 9.974122 10.002685 10.011814 10.032393
## [827] 10.011111 9.983586 9.981960 10.027874 10.017815 9.931026 10.018149
## [834] 9.987494 9.950673 9.965760 9.995191 9.980002 9.997072 9.920422
## [841] 9.992180 9.995565 9.997645 9.972261 9.990397 10.023762 9.967073
## [848] 10.011430 10.024561 10.008497 10.032041 10.005862 9.981393 9.973139
## [855] 9.963389 10.011731 10.000325 9.982804 9.963809 9.962186 10.013963
## [862] 10.007338 9.989671 9.972056 9.974788 10.003894 10.000052 10.000782
## [869] 10.012346 9.974542 9.995579 9.989572 9.970695 9.984954 10.026277
## [876] 9.993363 9.987008 10.024572 10.052463 9.994289 9.953581 9.976564
## [883] 9.943451 9.999977 9.945545 10.020911 9.987917 10.025932 9.997527
## [890] 9.982834 10.006472 10.040659 9.985059 9.972811 10.006901 9.980117
## [897] 9.985436 10.001548 10.040086 9.998405 9.984390 9.996274 10.008778
## [904] 10.031656 9.988581 9.993631 10.015412 9.964589 9.992705 9.980849
## [911] 9.976803 10.001013 10.008517 10.017910 10.036432 10.002727 10.021462
## [918] 9.976305 10.011912 9.960844 10.017428 10.037899 10.020986 10.006618
## [925] 10.003033 10.001315 9.995032 10.009211 10.005467 9.994349 10.017760
## [932] 10.037459 10.030464 9.990815 9.990880 9.980584 10.014988 10.011010
## [939] 10.006473 10.006994 10.014729 10.008893 10.019587 9.968078 10.037949
## [946] 9.946917 10.017591 10.019236 9.984751 9.974911 9.995114 10.024016
## [953] 10.022859 10.010807 10.002646 9.997276 9.989835 10.011446 9.959354
## [960] 9.980396 10.000075 9.991111 10.000216 10.001008 9.936524 10.010155
## [967] 10.036540 10.020167 9.963167 10.015176 9.973370 9.986402 9.980278
## [974] 9.996652 9.999406 9.997565 9.982356 9.993241 10.028196 9.993543
## [981] 10.023922 9.982261 9.976074 10.024361 10.017224 9.962790 9.981814
## [988] 9.972444 9.983347 10.044716 9.994759 10.005337 10.000609 10.003605
## [995] 10.039364 9.986225 9.981780 10.006196 9.978485 10.005249 10.000010
## [1002] 10.004603 9.955291 9.982920 10.030751 9.985625 10.036622 9.926270
## [1009] 10.003914 9.974734 10.004009 10.028906 10.007601 10.006975 9.987647
## [1016] 10.026831 9.959801 9.977809 10.018166 10.021284 10.038767 10.004715
## [1023] 9.981858 10.003201 10.009119 10.012478 10.036030 9.995454 9.999133
## [1030] 10.000009 10.007905 10.011918 9.982271 10.001714 9.992310 9.979004
## [1037] 10.020422 9.971037 10.000748 10.012780 10.017890 9.985704 9.981932
## [1044] 10.006788 9.956235 10.003564 9.988085 10.022174 10.008810 9.996049
## [1051] 9.979542 9.984173 9.999938 9.959195 9.997387 10.003324 10.009871
## [1058] 9.985815 10.016097 9.986034 9.980681 10.017948 9.991180 10.025125
## [1065] 9.995410 9.988732 9.968180 10.050941 9.974642 9.984739 9.957344
## [1072] 10.070204 9.990578 10.020483 9.960497 9.988909 10.004383 10.002563
## [1079] 9.993645 9.956122 9.999244 9.998625 9.967951 10.000679 10.024946
## [1086] 10.033891 9.992462 9.987566 9.985531 9.988305 9.997038 9.982319
## [1093] 10.026772 9.979720 10.010975 9.997502 10.033949 9.994527 9.988557
## [1100] 10.016651 9.988832 9.998640 9.963042 9.986511 10.015358 9.981579
## [1107] 10.031816 10.028207 9.995975 9.998800 10.000803 10.003283 10.009393
## [1114] 9.983550 10.011103 10.003570 10.001367 10.019334 10.041552 10.040356
## [1121] 10.035986 10.004425 10.016764 9.977782 9.975194 9.978043 9.987963
## [1128] 10.024486 9.982293 10.029258 10.056490 9.995540 10.010396 10.012915
## [1135] 9.980879 10.043236 9.980466 10.007297 10.014591 9.981599 10.008857
## [1142] 9.975396 9.990172 10.007177 10.034213 10.016088 9.981165 10.038940
## [1149] 10.015089 10.003655 10.001640 10.003809 10.038333 9.992140 9.951247
## [1156] 10.009142 9.989930 10.001115 10.019493 10.012492 10.022010 9.989196
## [1163] 10.022763 9.963089 9.993368 10.004955 10.007955 9.965551 9.997433
## [1170] 9.985192 10.037995 10.012467 9.999723 9.967672 10.014980 10.023879
## [1177] 9.980389 9.969874 10.028406 10.021792 9.995402 10.014221 10.000832
## [1184] 9.966209 10.013330 9.998192 9.992603 9.968604 10.010773 9.973417
## [1191] 10.021175 9.983025 10.009046 10.011545 10.028041 10.008312 9.988382
## [1198] 10.021369 9.994470 10.010705 9.987035 10.003540 10.022416 9.985543
## [1205] 10.006344 10.036039 10.018151 10.014584 9.988587 10.007341 9.989192
## [1212] 9.966649 10.006579 9.993244 10.003296 9.985167 10.053116 10.021178
## [1219] 10.029871 10.036652 9.981166 9.984054 10.017348 9.986074 10.030817
## [1226] 9.978575 9.974660 9.981790 10.003604 9.997269 9.995156 9.986950
## [1233] 9.980027 10.002579 9.986613 10.009878 10.000370 10.036150 9.996915
## [1240] 9.973698 9.976712 9.969995 10.011536 10.010953 10.038141 9.998955
## [1247] 9.989840 9.985243 9.976056 10.032181 9.982495 9.998047 10.007681
## [1254] 9.988794 9.995861 9.990462 10.003527 10.013172 10.018416 9.983798
## [1261] 9.965472 10.041952 10.004199 10.046291 9.996941 10.030199 9.984575
## [1268] 10.006630 9.966669 10.035970 9.990331 9.987104 10.020115 9.996665
## [1275] 9.996522 9.968101 9.985988 9.993644 10.003948 10.037242 10.026302
## [1282] 9.999565 10.015287 10.020302 10.010401 9.998704 10.024664 10.011044
## [1289] 9.990306 10.003541 9.976769 10.011095 10.015676 10.003988 10.022249
## [1296] 9.994822 9.988018 9.990437 9.984683 9.991858 9.997884 10.011297
## [1303] 10.031126 9.960399 9.996675 10.002568 9.958198 9.969057 10.019802
## [1310] 9.993419 10.000049 10.025818 10.015272 10.043324 9.989753 10.023733
## [1317] 9.992981 9.982928 9.977327 10.008222 10.004984 9.983525 9.982519
## [1324] 10.008741 10.015645 9.986921 10.008929 9.982923 9.974975 10.008477
## [1331] 9.994237 10.007937 9.992143 9.979748 9.957394 10.029757 9.981823
## [1338] 10.001208 9.980533 9.970748 9.985982 10.010202 9.998715 10.019633
## [1345] 10.006803 10.001924 9.957817 10.007703 9.983140 10.030276 10.019943
## [1352] 10.014861 9.981941 9.988891 10.007623 9.989601 10.015874 9.997985
## [1359] 9.995583 9.998942 9.999656 9.975689 9.995950 9.969241 10.021131
## [1366] 9.949653 10.015849 10.020791 9.977241 10.010607 10.015421 9.989799
## [1373] 9.978297 10.002913 9.974959 10.000340 9.993185 10.023074 9.985399
## [1380] 10.038347 9.987880 9.988684 10.002246 9.995059 10.012454 10.008300
## [1387] 10.004797 10.012197 9.997382 9.963844 10.005028 9.943139 9.988738
## [1394] 9.995560 9.986901 9.979545 9.974412 10.012521 9.995505 9.997209
## [1401] 9.967281 9.963075 9.997875 10.029357 9.970193 10.032798 9.991548
## [1408] 10.000719 9.953920 10.011910 9.993549 9.954148 10.001416 9.973584
## [1415] 10.048592 9.990636 9.999181 10.008846 9.980464 9.996058 9.993289
## [1422] 9.993855 10.004223 10.014457 10.016107 10.002671 10.010395 9.987862
## [1429] 9.995648 10.003854 9.983170 10.001961 9.997691 9.990231 10.040217
## [1436] 9.988798 10.054990 9.996025 9.994313 9.997975 9.997756 9.974525
## [1443] 9.989550 10.012683 10.013434 9.958277 10.011572 9.998486 9.972915
## [1450] 9.981204 10.016451 9.998320 9.996096 10.029712 9.979171 9.967850
## [1457] 9.998407 10.001397 10.013622 9.981610 10.022808 9.963026 10.000463
## [1464] 9.994712 9.989412 10.008936 9.994515 9.974875 10.000882 9.987220
## [1471] 9.970729 10.006684 9.993019 9.995827 10.002323 9.958860 10.021051
## [1478] 10.037265 9.988683 9.984179 10.026249 9.987020 9.989106 9.990613
## [1485] 9.973215 10.007707 10.012861 9.996682 10.010687 10.003999 9.974478
## [1492] 10.011979 10.028071 10.026037 9.981409 9.988247 10.059853 10.002499
## [1499] 10.029280 10.011549 9.972877 9.996219 10.000176 9.960035 9.996788
## [1506] 10.017027 10.014372 9.997311 9.972612 9.970056 9.970065 10.006567
## [1513] 9.998594 9.962126 10.002886 9.973673 10.046800 10.004671 10.011524
## [1520] 9.995897 10.020020 10.005994 10.007972 9.992388 10.004195 10.007970
## [1527] 9.986023 10.018065 9.977212 10.013861 9.962315 10.012279 10.006654
## [1534] 9.991693 10.001429 10.003415 9.992348 9.994894 9.986178 10.001307
## [1541] 10.014490 10.010423 9.989783 9.992548 10.003869 9.972926 10.000122
## [1548] 10.002920 9.985548 9.994413 10.008459 9.971256 10.027409 9.981520
## [1555] 9.996552 9.999388 10.000656 9.984642 9.954392 10.008659 9.970699
## [1562] 9.969662 9.989988 9.987824 10.008554 10.010749 9.920341 9.959314
## [1569] 10.033626 9.997204 10.036840 9.987814 9.995536 9.995599 9.985897
## [1576] 9.976466 9.993849 9.992984 9.983710 9.997963 9.987063 9.984532
## [1583] 9.977825 9.996094 10.012672 9.955584 9.999966 9.969349 9.977406
## [1590] 9.972780 10.004563 9.982398 9.975010 9.974803 10.005623 9.993251
## [1597] 10.030654 9.968122 10.037544 10.004024 10.000965 9.981870 10.008636
## [1604] 10.008288 10.024945 9.964748 9.990226 9.987703 10.009905 9.987949
## [1611] 10.007283 10.041566 9.998322 9.977344 10.003167 10.029615 10.011141
## [1618] 10.010025 9.997550 9.984622 10.000265 10.025026 9.987057 9.992216
## [1625] 10.003967 9.986135 9.976947 10.000568 9.992896 9.984099 10.044170
## [1632] 9.948523 10.029842 10.025322 9.990899 10.007898 10.032388 9.998345
## [1639] 9.976766 9.997685 10.024643 10.028400 10.010570 9.974045 10.007177
## [1646] 10.015159 9.984961 10.016342 9.990829 10.019668 9.976692 9.998964
## [1653] 10.026639 10.005610 10.003307 9.990210 9.982874 9.991442 10.002762
## [1660] 9.998882 9.994017 9.993964 9.960123 10.019335 10.013377 10.013504
## [1667] 9.984608 9.990331 9.999822 9.970460 10.011972 9.979778 9.999356
## [1674] 10.014333 9.971255 10.008568 10.027614 10.013234 9.975276 10.008010
## [1681] 10.021947 9.972271 10.017426 10.024771 9.970696 10.049667 9.987180
## [1688] 9.997413 10.025158 9.980222 9.983828 9.989935 9.992056 9.971503
## [1695] 10.007502 9.990046 10.030854 9.995464 10.013028 10.018160 9.991049
## [1702] 9.976916 9.992279 10.004629 10.035992 9.987298 9.969868 10.015631
## [1709] 10.001310 10.003059 10.044571 10.021203 10.028736 10.026455 9.966927
## [1716] 10.038548 10.001602 10.026433 9.981633 10.018177 10.013398 9.991542
## [1723] 10.044338 10.010913 9.993476 9.956624 10.015457 9.993392 9.979446
## [1730] 9.992679 9.978602 9.985656 10.009613 10.038995 10.005089 10.016131
## [1737] 9.996052 9.989628 9.985926 9.991110 9.971290 10.010758 10.003710
## [1744] 9.997129 10.005044 10.040338 9.975623 10.004800 9.995379 9.981285
## [1751] 10.026471 10.020908 10.037247 10.031537 9.991099 10.010255 10.013519
## [1758] 10.012396 9.994488 10.018193 9.985289 9.995449 10.012692 9.979587
## [1765] 10.006855 9.991709 9.974570 10.036269 9.975741 10.036856 9.969655
## [1772] 9.995238 9.956493 9.965908 10.000955 10.012760 9.984465 9.978980
## [1779] 10.000388 10.005664 9.991223 10.025242 9.976984 10.001701 10.007640
## [1786] 10.000747 9.997904 10.001226 10.003873 9.969059 10.015357 9.972508
## [1793] 9.997039 9.979250 9.980031 10.016520 9.972449 10.014508 9.991221
## [1800] 10.007346 9.995696 9.993468 9.993979 10.010063 9.986936 10.047828
## [1807] 10.009311 10.016960 10.009446 10.025318 10.017988 9.967772 9.988428
## [1814] 9.990254 9.981230 9.970181 9.992372 10.023551 9.970252 9.996300
## [1821] 9.998916 9.962904 9.976098 9.982908 10.011040 10.001242 10.009073
## [1828] 10.008004 10.002129 10.045783 10.026340 9.971411 9.997438 10.000083
## [1835] 10.004512 9.984145 10.010696 10.013086 9.989376 9.997974 10.000525
## [1842] 10.039537 9.994159 9.973464 10.001189 9.989697 9.988453 9.979013
## [1849] 9.998106 9.979580 9.980967 10.035242 9.964300 9.998445 10.007391
## [1856] 9.982159 10.020572 9.972208 10.047545 9.972980 9.974155 10.019142
## [1863] 10.018562 9.978631 10.011755 9.992272 9.975481 10.016847 10.015250
## [1870] 10.042913 10.050714 9.996176 9.969664 10.014635 10.008405 9.978399
## [1877] 9.980950 10.024118 9.979695 9.988224 10.011556 10.026642 9.980869
## [1884] 9.971585 10.009709 9.972780 10.012871 10.006000 9.983728 10.016182
## [1891] 9.999271 10.005002 10.006937 9.989171 10.009827 10.012398 9.995123
## [1898] 9.999725 9.999925 10.017431 9.993507 9.971453 10.000407 9.991968
## [1905] 9.996640 9.992713 9.988621 9.994742 10.031760 10.028877 9.977767
## [1912] 9.975333 10.005041 9.998041 10.003747 9.991705 10.007044 10.007984
## [1919] 9.993650 9.986476 10.008664 9.998729 9.970336 10.016728 9.995772
## [1926] 9.955563 10.050300 9.954568 9.982401 9.986967 9.992968 9.976264
## [1933] 10.025541 10.017834 10.029098 10.017168 9.997504 9.994302 10.002416
## [1940] 9.994681 9.975781 9.982148 9.989062 10.010162 10.003445 9.978500
## [1947] 9.974250 9.996292 10.032359 9.998857 10.012936 9.973221 9.989975
## [1954] 10.014249 10.013193 9.999382 10.004862 9.960303 9.974121 9.999868
## [1961] 10.010620 10.012681 9.981326 9.987706 10.011849 9.975760 9.956002
## [1968] 10.000225 10.005243 9.983346 10.036538 10.000389 9.966279 10.041981
## [1975] 10.013767 10.017572 10.032847 10.051095 9.990118 10.016687 9.979290
## [1982] 9.985544 9.984810 10.023889 10.005876 9.980594 10.007788 10.039767
## [1989] 10.008066 9.978766 10.014071 10.000989 9.990751 10.041987 9.982228
## [1996] 9.972291 10.006610 9.992423 10.016022 10.011782 9.990219 10.025762
## [2003] 10.010979 10.013796 10.024158 10.009501 9.976548 9.978686 9.947488
## [2010] 9.980282 9.999582 10.007576 10.003455 10.001940 10.005223 10.010673
## [2017] 9.989134 10.001172 10.023485 9.994196 10.045601 10.009750 10.025865
## [2024] 9.975595 9.992674 9.976828 10.023382 9.991136 10.008188 9.967483
## [2031] 10.003973 9.996266 10.028763 9.999423 9.998248 9.993323 10.020792
## [2038] 10.005147 9.975122 9.990340 10.019554 9.993760 9.966083 10.003379
## [2045] 10.007010 9.993912 9.981060 9.991347 9.972964 9.989057 10.008121
## [2052] 9.999688 10.002780 9.989780 9.975134 10.005376 9.977127 10.002399
## [2059] 10.030754 9.980160 10.035671 9.968113 10.018841 10.009629 10.006062
## [2066] 10.023988 10.015317 9.988627 10.008869 10.018860 10.017392 9.978125
## [2073] 9.979498 10.000853 10.016066 10.005748 9.992133 9.976296 9.965734
## [2080] 10.007005 9.973697 10.002330 10.034835 9.992745 10.013912 9.997244
## [2087] 9.958178 9.957267 9.981930 10.016204 9.996648 10.042050 10.007231
## [2094] 9.982022 10.023287 10.012673 9.957519 9.994396 10.019448 10.000568
## [2101] 10.014023 9.955430 9.989743 9.993156 9.992721 10.018154 10.029325
## [2108] 10.017117 10.002505 9.989419 10.008131 10.042405 10.004414 10.042127
## [2115] 9.970913 9.989489 9.992104 9.987747 9.998407 10.036373 9.985487
## [2122] 9.966538 10.000753 9.999364 10.012350 9.999157 9.986240 10.039325
## [2129] 9.984049 9.979453 10.005316 10.006955 10.006535 9.975570 10.014627
## [2136] 10.001368 9.994150 10.010852 10.004725 10.005361 10.005773 10.020200
## [2143] 9.996502 9.993139 9.986995 10.009740 9.990694 10.040121 10.012549
## [2150] 10.002436 10.005662 10.020407 10.002194 10.023985 10.006793 10.010898
## [2157] 10.037852 10.009602 9.982000 9.985076 9.977452 9.963865 9.957221
## [2164] 9.999576 9.991766 10.022700 9.968819 9.996168 10.013156 9.996060
## [2171] 10.014142 10.024269 9.984974 9.983993 9.969767 9.997698 9.969865
## [2178] 10.013016 9.998750 10.005731 9.977642 10.028054 10.027847 10.002796
## [2185] 9.999774 10.014098 9.992155 9.994086 10.005376 9.987893 9.988035
## [2192] 10.003524 10.024578 10.029210 10.057561 10.002652 9.971394 10.022612
## [2199] 9.989107 10.007304 9.988547 9.952972 9.977105 9.965500 9.983464
## [2206] 9.980076 10.013479 9.997655 9.959645 10.004671 10.032053 9.961343
## [2213] 9.991973 10.015819 10.008304 10.007003 9.982662 10.010439 10.001630
## [2220] 9.990489 10.024028 9.987582 10.034315 9.957938 10.014131 10.034743
## [2227] 9.989699 10.000314 9.961232 10.007350 10.002655 10.001123 9.970136
## [2234] 10.001845 10.028249 9.987307 9.983275 10.009842 10.016693 10.016510
## [2241] 9.995532 10.031977 10.008834 10.005465 10.002644 10.025337 10.016538
## [2248] 10.016060 9.990186 9.982558 9.995604 10.027222 10.013066 9.991185
## [2255] 9.975659 10.017028 9.977281 10.008410 10.013264 9.985246 9.997578
## [2262] 9.971629 10.009165 9.976697 9.993214 10.013312 9.992655 9.969135
## [2269] 9.971660 9.992791 10.028338 10.035923 10.011069 9.958531 10.002982
## [2276] 10.001530 10.052459 10.008146 10.024489 10.006796 9.994095 9.992971
## [2283] 10.003595 9.982634 9.959859 10.000195 9.973059 10.010677 9.988579
## [2290] 9.990164 10.010990 10.011798 10.014367 9.981842 10.008539 10.004366
## [2297] 9.982702 10.011644 10.015345 10.021980 9.983939 9.995612 9.937387
## [2304] 9.971743 10.007576 9.988076 10.005332 9.983225 9.986174 9.986764
## [2311] 9.973349 10.008485 9.988984 9.973574 9.985730 9.993728 9.990127
## [2318] 10.011254 10.010053 10.001864 10.008913 10.019488 10.008993 9.998145
## [2325] 10.008490 9.990228 9.992343 9.993611 10.023790 9.972622 9.977978
## [2332] 9.978667 9.997921 9.989650 9.986472 9.984833 10.006818 10.011061
## [2339] 10.008330 10.016446 9.989985 9.996835 9.978016 10.001822 10.023258
## [2346] 10.004814 10.032999 10.008882 10.000840 10.024272 10.014285 10.010707
## [2353] 10.043245 10.006691 10.012824 10.012471 10.007051 9.993785 10.009176
## [2360] 9.965554 9.976373 9.996706 10.052518 10.008680 9.992191 10.044325
## [2367] 9.989359 10.014347 9.991803 9.997916 9.991339 9.977966 10.029999
## [2374] 9.997612 9.954631 10.028765 10.004994 9.974273 10.034066 9.957361
## [2381] 9.979038 10.027216 10.020093 10.012538 10.007825 9.996284 10.021246
## [2388] 9.967769 10.027725 9.981057 9.953975 9.994789 10.023164 9.999357
## [2395] 9.994957 10.004610 9.991394 10.018316 9.992475 10.004891 10.017705
## [2402] 9.999393 10.031278 10.023067 10.021357 10.010457 10.015344 10.013355
## [2409] 10.034763 10.021801 10.023218 10.004203 10.006937 10.031936 9.993502
## [2416] 10.006025 9.998281 9.994633 9.968486 10.016827 9.998560 9.994633
## [2423] 9.985719 9.988171 9.983598 9.984206 9.998369 9.975768 9.977223
## [2430] 10.016692 10.009691 9.992443 10.001568 9.991320 9.984598 10.009450
## [2437] 10.007978 10.007931 10.021009 10.028330 10.029913 10.055058 10.019993
## [2444] 9.978605 10.036448 10.004248 10.014747 10.009444 10.015880 10.025142
## [2451] 10.014901 10.030325 9.990025 9.994937 10.000698 10.003694 9.997940
## [2458] 10.004210 9.999430 9.991909 9.982917 9.998012 9.999486 9.949551
## [2465] 9.970129 10.024153 10.019231 9.992660 9.991659 10.051030 10.013182
## [2472] 10.002712 10.013326 10.000774 9.984543 10.030205 10.004061 9.966416
## [2479] 10.005341 10.001389 10.000600 9.997816 9.998749 9.967971 10.003086
## [2486] 9.972561 9.990542 9.993090 9.996867 10.009033 9.994017 9.956830
## [2493] 10.001057 9.969457 9.979663 10.026194 9.988902 9.978272 9.985569
## [2500] 9.995661 9.968772 10.013328 10.017129 9.965655 9.986400 10.003402
## [2507] 10.039866 10.050660 9.993175 10.034015 9.973481 9.995158 9.970728
## [2514] 9.977537 9.989686 10.011758 10.024456 9.998541 10.016732 10.011115
## [2521] 10.004106 9.968754 9.975866 9.969952 9.972483 9.973920 9.989610
## [2528] 9.990871 9.999815 10.016209 9.992571 9.993751 10.020212 10.004374
## [2535] 9.994759 9.994745 10.015979 10.030953 10.004987 9.965109 9.999035
## [2542] 9.982886 9.996863 9.978809 9.972252 9.998941 10.021563 10.022800
## [2549] 9.985412 9.987396 10.003705 10.013538 9.998914 10.016836 10.038650
## [2556] 9.991760 9.993592 9.995559 9.991916 10.008641 9.994125 10.011327
## [2563] 10.010610 9.972449 10.019975 10.017229 9.964861 10.004581 10.000352
## [2570] 10.000079 9.971606 10.033190 9.976029 10.021419 10.013439 10.037630
## [2577] 10.049030 10.020599 10.011352 9.981779 9.999184 9.999784 9.995622
## [2584] 10.006253 10.014233 9.971173 9.985099 10.005906 10.034852 10.026066
## [2591] 9.969486 9.969478 9.997315 10.020448 10.050161 9.982554 9.990352
## [2598] 10.011291 9.997059 10.013091 9.964959 9.986365 9.981756 10.008099
## [2605] 9.987750 10.026958 10.013769 9.990043 10.025035 10.008424 10.028584
## [2612] 10.027871 9.998391 10.014973 10.003602 9.961808 10.026120 9.978684
## [2619] 10.002825 9.984542 10.004895 10.017264 9.989745 10.004820 10.022895
## [2626] 9.986723 9.999019 9.981417 10.039548 10.002196 10.033387 10.018009
## [2633] 10.027332 10.017607 10.014796 9.943192 10.012428 9.997405 9.975980
## [2640] 10.014013 10.026829 10.032121 10.006511 9.997278 10.001417 9.972085
## [2647] 9.998755 9.987998 9.969199 9.994232 10.007150 9.982468 10.015178
## [2654] 9.997435 10.015681 9.986701 9.977920 9.966282 9.999053 9.962258
## [2661] 9.989718 10.001278 9.971964 10.011020 9.964410 9.986711 10.022856
## [2668] 10.017126 10.002505 9.970623 10.002807 10.020753 10.033071 9.983069
## [2675] 10.002807 10.021200 10.009172 10.002183 10.001169 10.016001 9.987368
## [2682] 9.996106 10.017671 9.978022 10.030981 10.004126 10.005236 10.040463
## [2689] 10.000449 10.008561 9.995095 10.014347 10.028551 10.049914 9.987474
## [2696] 10.015144 10.000504 9.976298 9.989822 9.957890 9.963686 10.010714
## [2703] 10.027832 10.007252 9.990472 9.977811 10.017949 10.029728 9.958601
## [2710] 10.012988 9.997483 10.021650 9.966763 10.004177 10.030860 10.033226
## [2717] 10.007983 10.008554 10.018721 9.988577 9.992321 9.999881 9.993936
## [2724] 10.005397 9.978651 9.961424 10.031080 9.957798 9.988725 9.968277
## [2731] 10.035261 9.993428 9.980307 9.996815 10.014188 10.027544 10.005065
## [2738] 10.015182 9.990337 9.987562 9.984838 10.054442 10.016845 9.976187
## [2745] 10.036797 9.977801 9.990056 10.022937 9.986282 9.992924 10.010405
## [2752] 9.956217 10.011115 9.987924 10.013271 10.008031 9.973952 9.998537
## [2759] 10.005946 10.012071 10.022511 10.004244 10.003433 10.025657 10.005214
## [2766] 10.003466 9.958296 10.001397 9.975296 10.017862 9.976564 10.013007
## [2773] 9.975446 10.002120 10.024939 10.043811 9.984203 9.974347 10.010596
## [2780] 9.986741 10.010685 10.015314 9.964843 10.029278 9.951459 9.994000
## [2787] 9.984865 9.997452 9.984285 10.004533 10.010829 9.994995 10.001700
## [2794] 9.986824 10.002495 10.006526 10.002183 9.993999 10.028280 9.961191
## [2801] 10.001849 9.997183 10.020171 9.993968 10.005559 9.978019 9.973530
## [2808] 10.006803 10.015166 10.012491 10.002502 10.005433 10.022025 10.012703
## [2815] 9.997207 9.990910 9.972951 9.971705 10.005163 9.988881 9.968528
## [2822] 9.986824 9.993723 10.037554 9.966410 10.026386 10.020129 9.988716
## [2829] 9.980777 9.983056 9.990537 9.991210 9.999199 9.970802 10.006913
## [2836] 9.984275 10.001418 10.017627 9.999094 10.019712 9.994055 9.989295
## [2843] 10.017961 9.994222 10.031263 10.020609 10.008424 9.970563 10.005228
## [2850] 10.030960 10.007876 9.985465 10.000936 10.016980 9.983038 9.963091
## [2857] 10.012850 9.998700 10.012757 9.985206 9.986504 10.011199 9.996358
## [2864] 9.986213 10.013662 9.997054 9.939618 10.011502 9.999273 9.973599
## [2871] 9.991219 10.042858 10.016491 9.997969 9.996792 9.985580 9.978213
## [2878] 9.950454 9.998955 9.982969 9.978208 10.012672 9.986464 9.991059
## [2885] 10.015160 10.003730 10.011590 9.968819 9.962603 10.020061 9.999525
## [2892] 10.010902 10.010627 9.982778 9.993141 10.011107 9.974305 10.012324
## [2899] 9.979886 10.001052 9.998454 10.007975 10.012645 9.999340 10.008130
## [2906] 9.997857 9.992791 10.008380 9.986850 9.997298 10.018998 9.999569
## [2913] 10.028594 9.999730 10.020709 9.991137 9.981463 10.017618 10.002198
## [2920] 9.996780 9.967690 10.016484 9.971788 10.016600 9.985903 9.979046
## [2927] 9.987335 9.976592 10.018891 9.994472 10.004937 10.015783 10.014644
## [2934] 10.040009 10.001718 9.999451 10.001910 10.010723 10.002641 9.983504
## [2941] 10.014959 10.022138 9.992213 10.009778 10.001144 9.985549 9.989591
## [2948] 10.016826 10.020459 9.959563 10.006634 9.990884 10.011662 9.962195
## [2955] 10.030496 9.996435 9.995762 9.964060 10.011928 9.983028 9.991104
## [2962] 9.985733 10.001425 9.975028 10.023710 9.995793 10.016731 10.019763
## [2969] 9.984965 10.016409 9.983057 9.993650 10.030174 10.023076 9.974328
## [2976] 9.988175 10.039651 10.002669 9.960710 9.976314 9.990384 10.014361
## [2983] 9.971934 9.992539 9.996862 10.005729 10.006933 10.008479 10.008698
## [2990] 9.985000 10.002588 9.963768 10.018864 9.995937 9.984136 10.003319
## [2997] 10.009728 9.993798 10.001447 10.032500 9.984238 9.986535 9.985507
## [3004] 10.019458 9.995530 10.003096 10.010532 10.005754 10.018500 10.009115
## [3011] 10.009968 10.009768 10.032040 9.991832 9.996969 10.009904 9.988244
## [3018] 9.969583 10.007490 10.000585 9.964158 10.013684 10.005973 10.013670
## [3025] 9.990846 10.025776 9.967247 10.009152 10.001213 10.015623 10.025541
## [3032] 10.032060 9.990884 9.981525 9.996309 10.012453 10.003108 10.006029
## [3039] 9.985133 9.996063 10.015373 9.980677 10.022217 9.992095 10.020640
## [3046] 10.005737 9.991783 9.999010 9.982894 9.985208 9.999369 10.003307
## [3053] 9.975920 10.035564 10.010628 10.026892 9.985285 9.969107 10.017917
## [3060] 9.986251 9.982904 9.996364 10.007882 10.002943 10.016542 10.006148
## [3067] 10.015008 10.013018 9.988866 9.990125 10.020706 10.000269 10.017533
## [3074] 9.975195 10.015907 10.019509 10.003216 10.025885 9.983700 9.969029
## [3081] 10.026952 9.990918 9.999749 9.988772 10.016729 10.003435 10.021460
## [3088] 9.991509 9.991997 10.007035 9.974336 10.019785 9.989980 10.021151
## [3095] 10.006238 10.001062 10.015554 9.970433 10.003062 10.011218 9.992453
## [3102] 10.027064 10.013006 9.999317 9.998367 10.007783 10.005665 10.002899
## [3109] 10.003583 10.009373 9.992354 9.978676 9.985829 10.007465 10.000054
## [3116] 10.000927 10.002416 10.000602 10.029562 9.992115 9.998321 10.017330
## [3123] 10.001697 9.993844 9.994218 10.001697 9.977765 9.981219 10.031966
## [3130] 9.992818 10.019693 10.023374 9.989495 10.003952 10.021341 9.973605
## [3137] 9.990593 10.000213 9.975171 10.031758 10.010380 9.984653 9.953276
## [3144] 10.019208 9.976192 9.997033 10.038319 9.976348 9.976959 10.013685
## [3151] 9.996549 10.017133 9.972787 9.993469 9.999151 10.013249 10.018292
## [3158] 10.018933 10.010299 10.029145 10.006258 10.032835 10.010958 10.012524
## [3165] 9.989093 9.993012 10.013542 10.018018 10.016596 10.008413 9.967604
## [3172] 9.981952 10.014771 10.035218 9.977367 10.003271 9.971395 10.009994
## [3179] 10.032593 10.011689 9.995768 10.004303 9.973063 9.951211 10.025581
## [3186] 9.998833 10.002235 9.989890 10.035783 10.009583 9.970707 9.980953
## [3193] 10.008048 10.001745 10.041503 10.013665 10.031839 10.003332 9.997410
## [3200] 10.020974 9.981365 9.951772 9.992874 10.005420 10.022003 9.985875
## [3207] 9.996505 9.992784 9.996874 10.018578 10.000872 9.987537 9.992547
## [3214] 10.012475 9.979576 10.017747 9.983490 10.000298 9.997019 9.998098
## [3221] 9.968569 9.996429 10.010419 10.010942 9.999410 9.982435 9.987999
## [3228] 10.046842 10.019687 9.999549 10.002545 9.980054 9.990069 9.957346
## [3235] 10.045391 9.970782 9.955134 9.992910 9.999010 10.023583 9.992933
## [3242] 10.008538 9.990937 10.015617 9.990283 9.985933 9.990331 10.028088
## [3249] 9.980152 9.995106 10.015655 10.031933 10.006495 9.975263 10.020113
## [3256] 10.000501 10.013994 10.009449 9.991057 9.979541 9.995581 10.027669
## [3263] 9.982378 10.002997 9.985034 9.995375 10.060904 9.992444 10.008307
## [3270] 9.955232 10.046427 10.021413 10.009488 9.995352 10.047630 9.998974
## [3277] 9.984618 9.984685 10.000000 9.990860 10.007644 10.028458 10.047059
## [3284] 10.012313 9.996873 9.991662 9.997438 9.989019 9.980536 10.020023
## [3291] 10.053788 10.018929 9.988063 9.995235 9.987755 10.031749 9.977184
## [3298] 10.003410 10.019020 10.046962 9.997665 9.971280 10.008318 9.966777
## [3305] 9.983185 9.970253 10.008783 10.003959 9.975761 9.980738 9.995552
## [3312] 9.973259 9.959922 10.037552 10.019373 9.982437 10.016770 10.027085
## [3319] 10.009642 9.955261 10.006207 10.007318 10.002592 10.028530 10.013997
## [3326] 9.997910 10.010771 9.966941 10.010157 9.990738 9.985653 10.006399
## [3333] 9.981898 9.997304 9.987107 10.021161 10.014996 9.968066 10.002385
## [3340] 9.993564 10.015829 10.007603 10.011678 9.983581 10.025458 10.013113
## [3347] 9.999366 10.037417 10.025371 9.993390 9.996595 10.000966 9.979898
## [3354] 10.005782 10.045773 9.988596 9.971749 9.982940 9.994251 9.977465
## [3361] 10.008059 10.019270 10.011279 10.011170 9.978888 9.993462 9.993399
## [3368] 9.987239 9.990017 9.998659 10.000935 9.995197 9.984791 9.985755
## [3375] 10.028680 9.980793 10.019023 9.982223 10.005894 10.016967 10.005031
## [3382] 9.960386 10.008683 10.013732 10.014898 9.987411 9.984498 10.007498
## [3389] 9.987383 10.017167 10.027338 9.998722 9.991891 10.009907 9.968037
## [3396] 9.993655 10.006481 9.993778 10.035779 10.001208 10.025561 9.977186
## [3403] 9.978971 10.000239 10.006278 10.017058 9.975876 9.977776 9.983037
## [3410] 10.004330 9.982900 10.003073 10.013157 9.989612 10.019583 9.977449
## [3417] 9.990540 9.996550 9.984320 9.974832 10.015168 9.962181 10.000832
## [3424] 10.017070 9.991377 10.008819 10.011708 10.003700 9.984232 9.957911
## [3431] 10.016246 10.010348 10.026377 10.003854 10.008162 10.027914 9.993843
## [3438] 10.015746 10.034630 9.986782 10.006449 9.955797 9.945246 9.972713
## [3445] 9.955675 9.976742 9.987268 9.979323 9.971901 9.988245 9.997016
## [3452] 9.983094 9.989183 9.969930 10.014158 9.983420 10.024142 9.958847
## [3459] 10.007622 9.974889 10.029489 10.015214 10.019929 9.979852 9.979208
## [3466] 9.979912 9.995674 10.002967 10.000661 9.986927 10.033961 9.986254
## [3473] 10.026096 9.991915 10.005057 9.999902 9.985210 10.019754 10.021157
## [3480] 10.003649 10.003199 10.011480 10.021078 9.989788 10.028131 9.997363
## [3487] 10.004298 10.016569 10.050282 9.995109 10.040711 10.023022 10.010705
## [3494] 9.998772 9.961852 10.026887 9.999702 9.979432 10.006883 10.001601
## [3501] 10.012811 9.994379 10.003063 10.038893 10.030503 10.020656 10.010936
## [3508] 9.978230 10.004681 9.984778 10.000942 10.005719 9.970375 10.027766
## [3515] 9.983822 10.001910 9.997282 9.986162 10.025189 9.996538 10.026674
## [3522] 9.997270 10.001727 10.026920 9.971388 9.998184 9.999783 10.006158
## [3529] 9.992693 9.997065 10.006316 10.003303 9.999145 10.013183 9.995626
## [3536] 10.028629 9.977505 9.983737 9.978358 10.001463 9.999513 9.998075
## [3543] 9.973190 9.983647 9.988654 9.982281 10.023929 9.994409 10.006678
## [3550] 9.990994 9.969348 10.012095 10.018007 9.995863 9.967057 9.975149
## [3557] 9.999553 10.009415 9.994112 9.997319 9.975634 9.995201 9.998814
## [3564] 9.985320 10.013384 10.037430 9.983411 9.983886 9.999177 9.998101
## [3571] 10.010835 9.998624 9.982768 9.979063 10.005997 9.997842 10.021933
## [3578] 10.008933 10.004066 10.021575 10.029469 9.953834 10.018912 9.959615
## [3585] 9.997903 10.014187 9.998866 9.979033 10.031675 10.020927 9.986452
## [3592] 9.971838 9.988894 9.987126 9.984841 10.001215 9.993992 10.024349
## [3599] 10.022502 10.005059 9.986103 9.966373 10.000325 9.993382 9.982202
## [3606] 10.026733 10.032994 10.013653 9.968785 9.978950 9.984752 10.015143
## [3613] 10.008813 9.979224 10.010399 9.999444 10.008769 9.976842 10.018488
## [3620] 9.996964 9.990108 10.013597 10.011881 9.993752 9.995990 9.996105
## [3627] 9.950819 10.006235 10.012903 10.008010 9.987825 9.939770 9.992360
## [3634] 9.997283 9.993944 10.036722 10.007879 10.003673 10.006924 10.006444
## [3641] 10.008412 9.986130 9.965980 10.035715 10.008119 9.991292 10.042417
## [3648] 10.019775 10.014426 9.975874 10.034397 9.999482 10.001548 9.980973
## [3655] 10.014167 9.997193 9.987557 10.000766 10.015850 9.984943 10.022165
## [3662] 10.016842 9.971724 10.019020 9.975723 10.005480 9.964418 9.999057
## [3669] 9.997517 10.008516 9.993626 10.043083 10.017540 10.021057 10.006260
## [3676] 9.978749 10.009822 9.991725 9.987306 10.006100 9.995457 9.994876
## [3683] 9.991698 9.987267 9.980793 10.011653 10.007457 9.991500 9.991288
## [3690] 10.018275 9.964842 10.013953 9.983945 10.008120 9.993052 9.964562
## [3697] 9.961206 10.011304 10.025404 10.013336 9.992912 10.006662 10.030709
## [3704] 10.005129 10.031233 9.963569 10.011011 10.018867 9.982910 10.018480
## [3711] 9.983696 9.954744 10.013560 10.007998 9.959750 10.024300 10.016189
## [3718] 10.018401 9.985368 10.006289 10.026519 10.006070 9.983249 9.987362
## [3725] 9.998506 9.993617 9.998265 9.988911 9.991837 9.987922 9.977104
## [3732] 9.971585 9.998198 10.017120 9.989634 10.015451 10.006534 10.020602
## [3739] 9.982958 9.997219 9.982805 9.986170 10.006053 10.016132 10.019684
## [3746] 10.020937 10.043822 10.008621 10.010457 9.992106 10.002741 10.000655
## [3753] 9.990824 10.010470 9.999634 9.987935 10.037743 10.029228 10.032391
## [3760] 9.977317 10.019256 9.992397 9.997234 9.989801 9.978566 10.030460
## [3767] 10.032006 9.985030 9.973328 10.000171 9.985629 9.970060 9.988429
## [3774] 9.994382 9.989313 10.015523 10.009409 9.977826 9.994692 10.006642
## [3781] 9.998874 9.994213 9.999353 9.978322 10.015567 9.974429 10.016326
## [3788] 10.004566 9.972774 10.004229 9.977681 10.025797 10.017451 9.954208
## [3795] 10.000565 9.985135 9.972767 9.997035 10.016258 10.001611 10.017997
## [3802] 10.032391 9.997032 9.999007 9.985518 10.004161 9.993548 9.991897
## [3809] 9.984095 9.989179 9.979332 10.001276 9.983215 10.003502 9.999725
## [3816] 9.998076 10.037151 10.007572 10.000633 9.977588 9.975020 10.004347
## [3823] 10.016517 9.978534 9.999798 9.991007 10.010626 10.013718 10.010600
## [3830] 9.995155 9.984826 9.992688 10.008906 9.971028 10.015346 9.999031
## [3837] 10.016126 9.981218 10.002155 9.995844 10.002617 9.976947 10.054609
## [3844] 9.971943 10.018886 9.953278 10.037725 10.009649 10.007882 9.987588
## [3851] 10.019519 9.973885 9.975456 10.005574 9.985159 9.978844 10.002460
## [3858] 10.024765 9.989729 10.021166 9.984043 10.012895 10.032714 9.990489
## [3865] 9.983825 10.035954 9.997519 10.004473 10.014065 10.002883 10.057718
## [3872] 9.963688 9.978299 9.970874 10.035102 9.990731 9.964176 10.015579
## [3879] 9.991102 9.988521 10.012178 10.006781 9.975021 10.021930 10.004821
## [3886] 9.996873 10.007092 9.975259 9.983820 9.992444 9.997653 9.980907
## [3893] 9.997200 9.984820 10.057806 10.014751 10.002985 9.973935 10.011393
## [3900] 9.991823 10.005454 10.020495 9.990330 9.981726 10.026426 9.978919
## [3907] 9.990183 10.000937 9.981645 9.998303 9.993728 9.990766 10.008236
## [3914] 9.997053 9.998054 10.019718 10.026836 9.996748 9.987131 10.025178
## [3921] 10.004243 10.045185 10.008440 9.993437 9.983741 9.990745 10.002518
## [3928] 10.012836 10.027308 9.993085 10.015668 9.995866 9.986100 9.999521
## [3935] 9.994481 10.015996 10.000618 9.976964 9.994242 10.000716 9.983095
## [3942] 10.000067 9.980318 9.998117 10.003524 10.030116 10.000502 9.995728
## [3949] 9.979684 10.001354 10.010172 10.023310 10.009889 10.013312 9.982130
## [3956] 10.012513 10.003164 10.021890 10.001006 10.021020 10.027676 9.993230
## [3963] 9.987892 10.005804 10.004533 10.030668 9.999019 9.998305 10.013912
## [3970] 10.006418 9.992815 10.017456 10.017704 10.013132 10.012604 9.999680
## [3977] 10.002302 10.017958 10.036556 10.021000 9.976148 10.000888 10.004216
## [3984] 9.982599 9.989995 10.024118 9.980583 10.015381 9.987898 9.977891
## [3991] 9.981555 9.985193 10.009253 10.005352 9.956961 9.988814 9.952681
## [3998] 9.981344 10.007360 10.015734 9.989109 9.987347 10.006985 10.028144
## [4005] 9.943659 10.012634 10.013057 10.014071 10.014268 9.975153 10.017530
## [4012] 10.007223 9.979904 10.019872 9.989909 10.018392 10.015834 10.011054
## [4019] 9.961252 9.977957 9.965510 9.963849 9.985732 9.961350 9.969378
## [4026] 9.971644 9.979474 9.991441 9.987786 9.983331 9.972192 9.964121
## [4033] 10.037110 10.016867 10.028443 10.007101 10.024202 9.985062 10.022926
## [4040] 10.001542 10.002909 10.031722 10.021999 9.993410 9.978111 9.982787
## [4047] 10.021480 10.033468 9.959626 9.988790 9.964673 9.998534 9.983553
## [4054] 10.031987 9.985393 9.990862 9.995247 10.012151 10.005560 9.979277
## [4061] 10.019085 9.984266 10.036839 10.011197 10.022507 10.017634 10.049053
## [4068] 9.974308 10.001097 9.977980 9.999705 10.022325 10.006491 9.998194
## [4075] 9.998740 9.996835 9.990068 9.976166 9.983843 10.000916 10.015812
## [4082] 9.994177 10.002891 10.020594 10.015995 9.981222 9.961137 10.021213
## [4089] 10.006061 9.979103 9.980812 9.990410 9.999114 9.999747 10.026128
## [4096] 10.003352 9.987731 9.983200 10.013594 9.986830 10.006094 10.023821
## [4103] 9.965518 9.975833 9.973835 10.017237 9.993186 9.994655 9.991515
## [4110] 10.014751 10.017517 10.011600 10.025150 10.004299 10.000253 9.966665
## [4117] 9.998793 9.977016 10.016337 9.991074 10.004056 10.023346 9.985970
## [4124] 9.978503 10.021814 10.010909 10.013070 10.012790 10.014742 10.017870
## [4131] 10.006674 9.987734 10.007923 9.983639 9.988244 9.988860 10.009028
## [4138] 9.982417 9.979330 9.991327 9.981635 10.016814 9.993882 10.010146
## [4145] 10.008633 9.993392 10.010699 9.987215 10.029772 10.034751 9.983053
## [4152] 9.999110 10.012898 10.005802 9.980504 9.999839 9.994929 10.001080
## [4159] 9.995345 9.976623 10.003829 10.002338 9.978206 10.015254 9.989610
## [4166] 10.023668 10.007144 10.010891 10.016389 9.983902 9.994725 10.015417
## [4173] 10.011691 10.027413 10.013954 10.000060 10.030467 10.024861 9.990192
## [4180] 9.996312 9.988635 9.996269 9.999275 10.002754 9.972656 9.982159
## [4187] 9.989864 9.978266 10.022267 10.008729 9.985461 9.963884 10.013881
## [4194] 9.998178 10.029960 10.040250 9.988991 9.996818 9.997059 10.012455
## [4201] 10.012155 10.011470 9.997305 9.997017 10.017386 10.013887 9.970506
## [4208] 9.996288 9.993412 9.982740 9.982505 10.006553 10.015231 9.971281
## [4215] 10.018736 10.023078 10.022718 9.966820 9.978786 10.019674 10.003571
## [4222] 9.998296 9.991666 9.993399 9.990597 10.020160 9.980216 10.004027
## [4229] 9.979729 10.017594 9.998337 9.989342 9.965482 9.983243 9.972398
## [4236] 9.996077 9.979776 9.994297 10.015590 9.936830 9.998590 10.002427
## [4243] 10.003039 10.016891 9.994312 10.028016 9.989716 10.024573 10.013396
## [4250] 10.017178 10.019705 9.990756 9.985253 9.977341 10.015976 10.028869
## [4257] 9.953988 9.980289 9.990988 9.989636 10.017170 9.990100 9.973701
## [4264] 9.993328 10.002545 9.971297 10.003602 10.002617 10.020034 10.015623
## [4271] 9.995524 10.023507 10.032452 9.991583 9.996060 10.023677 10.008213
## [4278] 9.984967 9.979153 10.029349 9.979899 10.026222 10.028317 9.987316
## [4285] 10.009451 10.012859 9.988107 10.022737 10.033993 10.001075 10.041816
## [4292] 10.006367 10.005889 9.991918 9.992753 9.976584 9.955606 10.005877
## [4299] 10.003677 10.020931 9.971728 9.969149 10.001068 9.984012 9.989004
## [4306] 10.024257 9.988578 9.978790 10.021346 10.014994 9.982556 10.036882
## [4313] 10.002935 10.017340 10.011615 9.984910 10.002565 9.990145 10.002956
## [4320] 9.997252 10.012092 10.014185 10.002710 10.026059 10.014143 9.997637
## [4327] 10.007974 10.012220 9.966482 10.039988 10.022369 9.996750 9.988015
## [4334] 9.971476 9.971315 10.007968 9.964804 9.981051 9.986089 10.020011
## [4341] 10.035009 9.987708 10.033242 9.964092 9.998193 9.974525 9.993313
## [4348] 9.969074 9.994044 10.002661 10.019300 9.957033 9.996452 10.015007
## [4355] 9.997824 10.002375 10.023070 10.000289 10.029470 10.018764 9.968325
## [4362] 9.985554 9.972053 9.965444 10.011621 9.995859 10.023198 10.005386
## [4369] 10.032563 10.003147 10.027207 10.005121 10.046696 9.988986 10.027809
## [4376] 10.036069 10.042782 9.981671 10.038421 10.005226 10.005970 10.015086
## [4383] 10.008519 9.954419 10.009137 9.978357 10.007537 9.999464 10.008521
## [4390] 10.003343 9.992079 10.009610 10.040699 10.005976 9.989734 9.983090
## [4397] 9.988786 10.006618 10.010805 9.982003 10.004223 9.989550 10.027912
## [4404] 10.023212 10.021379 10.005963 9.991504 9.962829 9.994972 9.999707
## [4411] 9.999933 10.012973 9.972600 9.981024 10.016230 10.013223 9.989939
## [4418] 10.000954 10.016408 9.991570 10.005777 10.030845 9.999946 9.976145
## [4425] 10.031671 10.021702 10.003107 9.978956 9.977467 10.007550 10.000408
## [4432] 9.968748 10.019467 10.018756 9.955828 10.014223 10.023268 9.985116
## [4439] 10.006362 9.971393 10.001660 10.006500 9.993191 10.007338 10.006075
## [4446] 10.048088 9.997678 10.015844 9.969728 10.023240 10.020102 9.991479
## [4453] 9.962448 9.990428 10.037787 10.017801 10.007862 9.975229 9.991476
## [4460] 9.995842 9.994480 10.005972 10.004186 10.026473 10.041637 10.021209
## [4467] 9.974827 10.004416 10.005090 10.005528 9.996348 9.968287 10.003305
## [4474] 10.057218 9.996515 9.979691 10.010890 10.034892 9.989564 9.970184
## [4481] 10.004659 9.985616 10.009009 10.014153 10.015992 9.988963 9.995873
## [4488] 10.023459 9.971142 10.008571 9.978210 10.004350 9.994037 9.994008
## [4495] 10.000151 9.977755 9.999116 9.983801 9.978322 10.018500 9.996345
## [4502] 9.992907 9.988861 10.008573 10.039208 9.996699 9.982399 9.980567
## [4509] 10.005038 9.997502 9.976079 9.986005 9.987854 10.007172 10.021032
## [4516] 9.995754 10.033325 10.034848 10.049167 9.988683 9.985523 9.992603
## [4523] 9.993775 10.000942 9.997451 9.992709 9.995515 10.040759 9.992116
## [4530] 10.014577 9.992846 10.003821 9.980297 9.997493 9.997929 10.017906
## [4537] 10.003481 10.005051 10.024003 10.009248 9.969600 9.994840 9.999429
## [4544] 10.032893 9.971061 9.970095 9.992267 10.054951 9.979408 10.007902
## [4551] 9.991778 10.002310 10.038923 10.003090 9.977727 10.028193 9.975792
## [4558] 10.004966 9.989972 10.022801 10.034891 9.997542 10.004179 9.973250
## [4565] 9.993105 10.021236 10.040889 10.016916 9.992375 9.998821 9.990639
## [4572] 10.029042 10.016605 10.042437 10.002758 10.022872 9.988807 9.985705
## [4579] 9.979925 10.002724 10.023639 9.999508 10.034920 10.000558 9.969450
## [4586] 9.996791 10.014349 10.000076 10.037471 10.005660 10.027676 9.990247
## [4593] 10.007576 9.979144 9.975467 10.022622 10.012081 9.995828 9.979506
## [4600] 10.003951 10.044655 10.014195 10.017043 10.009970 10.018363 9.970270
## [4607] 10.021939 10.016135 10.003470 9.996991 10.004869 10.013238 10.013996
## [4614] 10.005070 9.996503 10.011348 9.984816 9.970773 9.984445 9.990069
## [4621] 9.996969 9.985277 9.963272 10.011669 9.972088 9.985306 9.982296
## [4628] 9.977564 10.013954 9.984442 9.991000 10.011731 9.994799 10.019719
## [4635] 9.989698 9.984439 10.007305 10.015426 9.985259 10.009177 9.983825
## [4642] 9.980863 9.962954 10.025316 10.013601 10.034602 10.003338 10.012046
## [4649] 9.993791 9.982080 9.992449 9.952748 10.017372 10.021085 9.978649
## [4656] 9.995968 10.004995 10.056995 9.987296 9.986698 9.985772 10.004290
## [4663] 10.018998 9.957452 9.997486 10.016251 9.986260 10.012231 9.983439
## [4670] 9.981264 10.000073 9.971947 10.013186 9.967945 10.007550 9.996263
## [4677] 9.988876 10.019762 10.023358 10.036380 9.978876 9.996723 9.976970
## [4684] 10.007839 9.993086 10.025995 9.985380 9.958970 10.003035 10.023603
## [4691] 9.986796 9.979761 10.012580 10.015880 9.964073 10.004616 9.963285
## [4698] 9.992856 10.014926 10.032966 10.019100 9.972948 9.966457 10.010489
## [4705] 10.023982 10.029783 10.008602 10.017951 10.004370 10.005465 10.022797
## [4712] 10.003995 9.997114 9.996687 9.991163 9.980073 10.046509 9.960666
## [4719] 10.027888 9.994545 10.025633 9.994706 9.997458 9.992706 10.001827
## [4726] 10.005248 9.993245 9.974042 9.994211 10.018173 9.975980 9.984275
## [4733] 10.002202 10.033780 9.983504 9.964105 9.990082 10.021656 10.013028
## [4740] 10.016120 10.011691 9.995671 10.022394 9.997006 10.008087 9.989624
## [4747] 9.992630 10.020455 9.971013 9.996528 10.025658 10.018755 10.021578
## [4754] 9.977658 9.988942 10.027622 10.002402 10.012183 10.015307 10.003846
## [4761] 9.974920 10.009353 9.984925 10.030149 10.003965 10.020211 9.982196
## [4768] 9.991134 10.029123 9.988118 9.991179 9.998251 9.995634 9.986897
## [4775] 9.963173 10.008964 9.977366 10.021564 9.985273 10.013418 9.998896
## [4782] 9.989379 9.999942 10.002848 9.958779 9.973435 10.020937 9.946609
## [4789] 9.991131 9.989683 9.996334 10.014338 9.976949 10.016772 9.983507
## [4796] 9.997830 9.992727 9.975031 9.965383 10.011060 9.995212 10.018291
## [4803] 9.977659 9.994272 10.005219 10.009306 10.018271 9.957922 10.003316
## [4810] 10.019883 9.984439 10.013279 9.979139 9.961746 10.001037 10.017975
## [4817] 10.023019 9.959493 9.990482 9.995062 9.975876 9.990055 10.003834
## [4824] 10.034565 9.980411 10.031183 10.002168 10.016290 9.993011 10.018327
## [4831] 10.007752 10.005974 10.017072 9.989195 10.008708 9.996003 9.977762
## [4838] 10.000035 10.018251 9.995947 9.997260 9.979630 9.974109 10.010947
## [4845] 10.032526 10.009742 9.965807 9.964805 10.006816 10.018628 10.012421
## [4852] 10.018987 10.024982 9.989232 9.970397 10.000954 9.980845 10.026812
## [4859] 10.020512 10.003575 9.990353 9.997213 10.004650 10.017692 9.984646
## [4866] 9.981079 9.995220 9.980304 9.998850 10.000059 10.021654 10.013419
## [4873] 10.024763 9.979759 10.030036 9.984717 9.983228 10.009949 9.980471
## [4880] 9.995676 9.964277 9.990826 10.006474 10.013928 10.034284 9.990552
## [4887] 9.986518 9.998853 10.006195 9.967992 9.997353 9.970644 10.011182
## [4894] 9.978524 9.998245 9.971549 10.011147 9.983330 10.007757 9.977921
## [4901] 9.988737 9.968757 10.008683 9.952012 10.001140 9.994870 10.039165
## [4908] 9.993681 10.004928 9.987789 9.991320 9.958540 10.006171 9.987587
## [4915] 10.008444 9.982923 10.040781 10.025033 9.991881 10.015812 9.986504
## [4922] 10.006595 10.018320 9.993210 9.976610 10.031636 10.008639 9.986581
## [4929] 9.958520 9.968135 10.021933 10.027227 10.000709 9.960026 9.982513
## [4936] 9.969487 9.986034 10.000560 9.997073 9.979620 10.013548 9.993997
## [4943] 9.976090 10.019639 9.981591 10.036768 9.997941 9.983298 9.996787
## [4950] 10.013860 10.016581 9.991078 10.000407 10.051338 10.014603 9.984551
## [4957] 9.986392 9.980879 10.038300 9.999328 10.024392 10.033315 10.039949
## [4964] 10.005694 9.980692 9.961859 10.005960 10.006168 9.995507 10.011022
## [4971] 9.968125 9.973781 10.013635 10.006233 10.012713 9.996675 10.041609
## [4978] 10.043781 10.035121 9.984233 10.025293 10.007914 9.989750 10.007997
## [4985] 9.983386 9.971449 10.004499 10.006331 10.045123 9.992387 9.995544
## [4992] 9.996198 10.009532 9.982254 9.993654 10.002626 10.009153 10.004147
## [4999] 10.012397 9.987750b. Estime la proporción de pistones rechazados por no cumplir con las especificaciones.
rechazados = sum(diametros<9.97|diametros>10.03)
prop_rechazo = rechazados/n
prop_rechazo## [1] 0.1378c. Si el costo de reprocesamiento de un pistón defectuoso es de $15 USD, estime el costo promedio de reprocesamiento por cada 5000 pistones fabricados.
costo_rechazo = rechazados * 15
costo_rechazo## [1] 10335d. Genere un histograma del diámetro de los pistones y evalúe si se ajusta a la distribución normal.
hist(diametros, main="Distribución del diámetro de los pistones", col="orange", breaks=30)
qqnorm(diametros); qqline(diametros)
e. ¿Qué estrategias podrían implementarse para reducir el número de pistones rechazados?
Se puede intentar mejorar el cómo están trabajando las maquinarias, pues si se hace un mantenimiento preventivo, puede ayudar a que menos pistones incumplan con las características que deberían tener. Además de esto, se puede pensar en alguna especie de control estadístico para analizar de qué manera y bajo qué condicione sse pueden producir mejores pistones.