Biostatistics FA25 Labs
Andrew Hand
10-10-2025
Biostats Labs
Exam 1 Labs
This section includes all labs pertaining to exam 1 Biostats FA25.
Lab 1
Intro to R
# in-lab r script
# r as a calculator
1+1## [1] 22-3## [1] -14*3## [1] 1212/2## [1] 6 # assigning variables
x <- 5
x## [1] 5x+6## [1] 11tree_height <- 12
x + tree_height## [1] 17 # using c()
y <- c(0,2,4,6,8)
y## [1] 0 2 4 6 8 # using ':' to add series of numbers
z <- c(y, 6:8)
z## [1] 0 2 4 6 8 6 7 8 # vectors
y + 3 # this will add 3 to each number in the series ## [1] 3 5 7 9 11 # you can pick a specific number in the series using '[]'
y[4] # outputs the 4th number in the series of 'y'## [1] 6y[4] + 3 # adds 3 to the 4th number in 'y'## [1] 9# to see the entire series along with what you changed do this:
y[4] <- y[4] + 3
y ## [1] 0 2 4 9 8 # more functions
sum(y)## [1] 23mean(y)## [1] 4.6median(y)## [1] 4var(y)## [1] 14.8sd(y)## [1] 3.847077length(y)## [1] 5 # reading in data sets and naming:
#daphnia <- read.csv("https://whitlockschluter.zoology.ubc.ca/wp-
#content/data/chapter15/chap15q17DaphniaResistance.csv")Lab 2
2.1 missing data
library(readr)
aedes <- read_csv("C:/Users/ahand/OneDrive - St. Mary's College of MD/SMCM_FA25/biostats/LAB/lab01-02_directory/aedes_development.csv")
head(aedes)## # A tibble: 6 × 9
## start.date end.date temp sex jar dev.time.days dev.rate weight.g
## <chr> <chr> <dbl> <chr> <dbl> <dbl> <dbl> <dbl>
## 1 2/21/2008 3/5/2008 22 F 2 13 0.0769 0.0037
## 2 2/21/2008 3/6/2008 22 F 2 14 0.0714 NA
## 3 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0026
## 4 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.002
## 5 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0025
## 6 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0023
## # ℹ 1 more variable: weight.mg <dbl>sum(aedes$weight.g) # shows 20 NA's in weight.g## [1] NAmean(aedes$weight.g)## [1] NAsd(aedes$weight.g)## [1] NA # let's try it using `sum(aedes$weight.g na.rm = TRUE) to get rid of those NA values
sum(aedes$weight.g, na.rm = T)## [1] 0.8033sum(aedes$weight.g, na.rm = T) # we get a real value now because we don't have NA's blocking the computation## [1] 0.8033sd(aedes$weight.g, na.rm = T)## [1] 0.001235272 # to test weather there is missing data values, we can use `is.na(dataset$variable)
is.na(aedes$weight.g) # shows columns of which data sets are missing or present ## [1] FALSE TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE
## [13] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE FALSE FALSE FALSE
## [25] FALSE FALSE TRUE TRUE TRUE TRUE TRUE FALSE FALSE FALSE FALSE FALSE
## [37] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE FALSE FALSE FALSE
## [49] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [61] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [73] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [85] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [97] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [109] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [121] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [133] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [145] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [157] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [169] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [181] FALSE FALSE FALSE FALSE TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [193] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [205] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE
## [217] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE FALSE FALSE
## [229] FALSE FALSE TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [241] FALSE FALSE FALSE2.2 subsetting data
# [] can be used to isolate specific column or rows we want
aedes[1,5] ### # A tibble: 1 × 1
## jar
## <dbl>
## 1 2aedes[1:3, c("sex", "weight.g")] # shows rows 1:3 for sex and weight.g## # A tibble: 3 × 2
## sex weight.g
## <chr> <dbl>
## 1 F 0.0037
## 2 F NA
## 3 M 0.0026 # we can use conditional arguments to ask for specific rows or columns or variable in that row
males <- aedes[aedes$sex== "M",] # don't forget the `,`
males # now we see all categories for anything for M## # A tibble: 136 × 9
## start.date end.date temp sex jar dev.time.days dev.rate weight.g
## <chr> <chr> <dbl> <chr> <dbl> <dbl> <dbl> <dbl>
## 1 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0026
## 2 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.002
## 3 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0025
## 4 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0023
## 5 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0025
## 6 2/21/2008 3/3/2008 22 M 1 11 0.0909 0.0022
## 7 2/21/2008 3/3/2008 22 M 2 11 0.0909 0.0021
## 8 2/21/2008 3/3/2008 22 M 2 11 0.0909 0.0022
## 9 2/21/2008 3/5/2008 22 M 1 13 0.0769 0.0026
## 10 2/21/2008 3/5/2008 22 M 1 13 0.0769 NA
## # ℹ 126 more rows
## # ℹ 1 more variable: weight.mg <dbl>summary(males) # now there are no females in the data set ## start.date end.date temp sex
## Length:136 Length:136 Min. : 5.0 Length:136
## Class :character Class :character 1st Qu.: 9.0 Class :character
## Mode :character Mode :character Median :12.0 Mode :character
## Mean :13.1
## 3rd Qu.:16.0
## Max. :22.0
##
## jar dev.time.days dev.rate weight.g
## Min. :1.000 Min. : 11.00 Min. :0.007194 Min. :0.001700
## 1st Qu.:1.000 1st Qu.: 19.00 1st Qu.:0.017241 1st Qu.:0.002400
## Median :1.000 Median : 29.00 Median :0.034483 Median :0.002600
## Mean :1.404 Mean : 43.23 Mean :0.037821 Mean :0.002616
## 3rd Qu.:2.000 3rd Qu.: 58.00 3rd Qu.:0.052632 3rd Qu.:0.002800
## Max. :2.000 Max. :139.00 Max. :0.090909 Max. :0.005500
## NA's :11
## weight.mg
## Min. :1.700
## 1st Qu.:2.400
## Median :2.600
## Mean :2.616
## 3rd Qu.:2.800
## Max. :5.500
## NA's :11aedes$sex == "M" # shows true false for if there are males in that row for the data## [1] FALSE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [13] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE FALSE
## [25] FALSE TRUE FALSE FALSE FALSE FALSE TRUE TRUE TRUE FALSE FALSE TRUE
## [37] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE TRUE
## [49] TRUE TRUE TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [61] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE TRUE
## [73] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [85] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [97] TRUE TRUE FALSE TRUE TRUE FALSE FALSE FALSE TRUE FALSE FALSE FALSE
## [109] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [121] FALSE FALSE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [133] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [145] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [157] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [169] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE FALSE TRUE FALSE
## [181] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [193] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE
## [205] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE FALSE
## [217] FALSE TRUE FALSE FALSE FALSE FALSE FALSE TRUE TRUE FALSE FALSE FALSE
## [229] FALSE FALSE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [241] TRUE FALSE FALSE# calculate the mean of just males:
mean(aedes[aedes$sex == "M",]$weight.g, na.rm = T)## [1] 0.0026162.3 sample distributions
library(readr)
# "simple" code for the sample distribution for the mean of a population:
sample_distribution_mean <- function(x, sample_size = 10, num_reps = 1000)
{samples <- NULL
for (i in 1:num_reps) {
samples <- rbind(samples, mean(sample(x, sample_size)))
}
return(samples)
}
sample_distribution_mean## function (x, sample_size = 10, num_reps = 1000)
## {
## samples <- NULL
## for (i in 1:num_reps) {
## samples <- rbind(samples, mean(sample(x, sample_size)))
## }
## return(samples)
## } # consider a random data sequence with a sample size of 25 and 500 replicates: this is how you create the sample distribution
# create a vector of 1000 random numbers, this is the population
data <- rnorm(1000)
data## [1] 0.6132565057 -0.0072011536 -1.8992698402 -0.2025785967 1.9261039097
## [6] 0.8834923855 -0.7643717235 1.0489235855 -0.0024365730 -0.7094340494
## [11] 1.0491299847 0.1228092192 -1.4974072048 1.8274220664 -1.5035288526
## [16] -1.3482978950 0.0373986185 -0.3674932592 0.5501953112 0.7964171570
## [21] -0.0483870784 0.5038136475 0.2243361997 2.6365009288 -1.1193051105
## [26] 2.3568413114 2.1605578735 1.8768399784 -0.7112820038 0.1864867521
## [31] -0.6464582077 -0.7002399240 -1.7675222598 0.3924111879 1.4002268237
## [36] -0.9575672028 -0.3111728986 0.8260109519 -1.7252893380 1.9834500732
## [41] 0.0714783590 1.0371264540 1.5967338258 -2.0145920166 1.9379600141
## [46] -0.2007601595 -0.7996680631 0.1789694950 0.1506056690 -0.5002554409
## [51] 0.6237262418 0.1903236866 0.6391731172 -1.4874364848 0.2561493610
## [56] 0.7635289579 -0.7712477978 0.6044841650 -1.4932660136 1.0089252157
## [61] -0.1941200069 0.2695407473 -1.3861458816 -0.4925754463 0.3020934586
## [66] -0.6513457098 2.7753542680 -0.3644729729 -1.6022745354 -0.7735657349
## [71] 0.0331852399 -0.3757259300 0.3482056083 0.6486955292 0.7647871699
## [76] 1.5470687087 1.3031336474 0.0879246039 0.4179413574 0.3129579999
## [81] -0.5715763030 -1.1853771062 0.6278118760 -0.5118103512 1.0017652793
## [86] -0.2563753273 -0.9003979831 -0.2506560588 -0.5499414188 2.6209360119
## [91] -0.0771914293 0.0730347092 -0.1948098246 0.4991449078 0.3704199478
## [96] 0.2145749185 0.3463334907 -0.4618411434 -0.2339490967 -0.9712944346
## [101] -0.0695088439 -0.9719223775 0.1351136391 0.2074423199 -1.3930086589
## [106] 1.6535369383 -0.5287123407 1.7517575525 1.7329070251 -1.2087564137
## [111] -0.8868480621 -0.0459986123 1.3672208819 -1.5530748233 -0.5574366590
## [116] 1.2720844255 0.2887922865 0.2403632335 0.4258512688 -0.2552783012
## [121] 0.8739574812 -2.0103450117 -0.6245652227 0.6846157728 -1.0115628249
## [126] 1.0084235886 -0.3689480411 0.5474456154 -2.0556953222 0.0311053989
## [131] -1.5655581437 -1.0631063736 -0.5503677841 0.3591095502 0.1846453621
## [136] 1.3219515244 0.8156054488 -2.2603452226 -0.3067904141 -0.5689435395
## [141] 1.1683723723 1.5807201701 -1.6461137496 -1.6296308968 0.9385995911
## [146] 0.2839339324 -0.2565410551 -0.3208142500 -1.9825043494 0.6279048284
## [151] 0.4156476992 -0.5925383924 0.0894811572 -0.3493652116 -0.0966481614
## [156] -0.7565076920 -2.3047026580 0.4533468124 -0.8298062994 0.0462392714
## [161] 1.9241098532 0.7404421357 0.4024263043 -0.4514648812 1.0520158337
## [166] -0.3538455843 1.2973536412 -0.5055444046 0.9759274706 1.1099422978
## [171] 1.0198759704 -1.3506300579 0.2000470014 0.0147776353 -0.4784225225
## [176] -0.6848613558 0.9425930282 -0.4324602862 -0.0764461428 1.0343422085
## [181] 0.9927020984 0.6164936193 -0.7663238015 2.3045620342 1.0502710246
## [186] -0.4318729542 -0.7974105716 0.0006786905 -0.9516364949 -0.4322478138
## [191] -1.0540745701 -0.9529465663 -0.0743501937 -0.1592722243 -1.2070952067
## [196] -1.7047608394 -1.3704539940 -0.6010077600 -0.2625759196 -0.4444709072
## [201] 0.2673674383 -1.5882806112 1.6239715309 1.6900238825 0.1172603501
## [206] 0.3158429073 -0.6730675357 -0.3766234561 -1.0996180115 0.4879359818
## [211] -0.8210910001 -0.3935099569 -0.5305384763 0.1512594228 0.0628304862
## [216] -1.1519361208 1.3128855570 0.8755909638 1.1112167853 0.5075702951
## [221] 1.6676945653 0.4239647868 -1.0224547509 -1.4095145781 -0.2124336001
## [226] -0.2055984085 -1.1296555937 -0.4414868320 0.2826563787 0.2842005811
## [231] -0.4824276115 -1.8018309684 -0.8937803129 -1.5697276581 1.5459092174
## [236] -1.8102221913 1.6621665809 -1.0366982048 -0.2516998886 0.5817485732
## [241] 1.5330712297 0.3888316510 -0.3443451978 -0.1654821554 -0.4308648739
## [246] 0.0562795799 0.4889730473 -0.4129081158 -0.6275192200 -1.3700034894
## [251] 1.8342567933 1.0898798001 -1.3109169709 -0.2978534527 -1.0058556266
## [256] -0.7338572184 -0.1144193856 0.9861863883 -0.6092524727 -0.3901923201
## [261] -0.2778744438 2.8253458688 -0.3932254009 -0.0137032208 0.3966880393
## [266] -0.6968919820 -0.9344139994 0.0307789859 0.0896512986 -1.6297035479
## [271] 0.8867046837 0.6194787356 -0.4881044908 -0.8721015209 0.4317681131
## [276] -1.2724082353 0.4045905233 1.3242966699 0.9444520334 -0.7511079327
## [281] -0.7533589646 1.2942513048 -0.2643498409 -1.5329129564 1.9069441520
## [286] -0.4900672043 1.4102803808 -0.3469737763 -1.2945408081 0.8197221097
## [291] 0.6737392351 -0.2271602830 0.0446877516 0.2807981424 -0.2916000217
## [296] 2.1830549767 -1.6006780804 1.2494622577 0.9469348656 -0.3537904566
## [301] 1.2012248357 -1.0583851088 1.1077806503 1.2373031530 -1.3872721148
## [306] 0.7983673687 0.9830422285 0.2045464959 0.3944875372 0.5370139663
## [311] -0.2756356844 0.7842663410 0.7392900088 -0.5136595555 -0.7144396790
## [316] 2.0346818910 -0.4455249668 1.0185331158 0.2142355259 0.2457269185
## [321] 0.7388648419 -1.0788315768 -0.3681185688 2.0086990655 -0.0331843724
## [326] 0.5411489964 0.0081922468 -0.0998266449 -0.3872051866 0.6905367300
## [331] 1.3634119448 -0.7476749145 0.7942008295 -1.5707171038 -0.1262513252
## [336] -0.6026838987 1.0488338817 -0.3368987042 0.8892758227 0.4621608031
## [341] -1.4409301082 0.0326457103 0.8397032622 -1.1369749612 -0.7502564768
## [346] -0.0147295008 1.8108265136 -1.1067928353 0.4426723570 0.2833011843
## [351] -0.1252409690 0.0891391595 0.1114412643 0.2525948964 -0.0628876423
## [356] -1.0811010239 -1.0417444420 0.2855971028 -0.9198512657 -1.7824921804
## [361] -0.7973801118 1.3530651016 0.5113102372 1.9992552219 1.5004018437
## [366] 0.0251542629 -0.1530941453 0.7782302828 1.8273337427 0.3102070401
## [371] 1.3385317524 0.0612501833 0.7566744143 -0.1924771046 -0.8371150172
## [376] 0.9237500277 -0.2281050195 0.6819462491 -1.0376285183 2.0182930375
## [381] 0.4009166566 1.4165485512 0.4219450744 -0.7842842051 0.7785758522
## [386] -0.0076291254 0.4586651745 0.3931297960 -0.5375482473 1.5890838227
## [391] -0.0984773626 -1.9248853040 -0.0481545219 0.2407640434 1.1588289142
## [396] 0.6195916213 0.9417828477 -1.0609244466 0.4604256005 0.0240531442
## [401] 1.3108271366 -2.7228159325 1.2842211448 -0.0821804862 0.1758704024
## [406] -0.2707769581 0.5134967474 1.6636517330 -0.3730911200 -0.9938750332
## [411] -0.9904148272 0.2132744520 -0.4222319720 0.8539561361 0.0211839888
## [416] -0.4966104537 0.7051233235 0.2306510473 0.4797601955 -0.9692264800
## [421] 0.1557819335 0.8081989411 -1.2325447884 0.1056942413 0.9043120536
## [426] -0.9064212489 1.1804128217 -0.1416270035 0.6947430198 0.2725714592
## [431] -0.0897198510 0.9045431339 0.3327234994 -1.4993038705 -0.7540741930
## [436] -0.9253636774 1.3587260823 1.8159985033 0.0504695331 -0.7762345573
## [441] -0.7479071183 0.7427007819 -0.1402371437 0.4653054853 -0.4215116027
## [446] -1.4632761413 0.0079747396 1.3683372914 -1.2877943637 -1.1546052994
## [451] 0.0740000214 1.1609437199 1.8920106906 0.5103495013 -0.4827267498
## [456] -0.7159053866 -0.3021237712 0.3351447009 0.7894023495 1.0948305954
## [461] 2.0288412674 1.8023590065 0.5152948959 -0.1891925307 1.5443715762
## [466] 0.0716903729 -1.0082094969 2.6420297342 -1.5784215140 0.4187789961
## [471] 1.9988764712 0.1149817722 1.1003809237 -0.2768509574 0.2026149024
## [476] 0.9241734514 0.0480698375 2.7678657361 -1.5592510936 -0.5935414118
## [481] 0.1836459371 -0.4085714402 -0.0612590680 0.9273387436 0.3092382615
## [486] 0.3101230398 -1.2884389138 -1.3188488305 1.2584883205 1.3431660740
## [491] -1.0110432917 -1.1065676034 -1.6208303334 0.0863070120 -1.1003726897
## [496] -0.9501092812 -0.5411966478 3.4151415356 -0.2545619315 0.2476799677
## [501] -0.2153079584 0.4941781258 -0.2448047248 0.0322628642 -0.5161205698
## [506] 1.7483148932 -0.1562432297 -0.8909920229 1.4975670126 -1.9376582897
## [511] 0.2712873373 -0.2955113804 -1.7513814228 0.0469177254 0.6904706473
## [516] 0.2159774442 0.2272806900 0.2975540134 0.7164572859 -0.3273645760
## [521] 0.6930441305 2.3560091870 -0.6610613452 0.4673812610 -0.8765813252
## [526] -0.5206817571 -1.4673634550 1.2374304074 -0.8525491077 1.1042665089
## [531] -0.2826316575 -1.3409608134 -0.2036714939 -0.6062521546 1.4791929344
## [536] 1.3905767245 0.2640792508 -0.0422938133 -0.2149113055 0.4311726685
## [541] 0.6157494557 0.4121175171 0.2218958071 0.9066787353 0.5191779186
## [546] 0.6961265743 1.2129651009 0.4207311255 -1.1194923065 -1.1459502446
## [551] -0.3210668516 -0.8689620903 0.5723317885 -0.1653335452 -1.4643940351
## [556] 0.1569285415 0.2925764983 -0.4499455189 -0.2328058785 -1.1392600505
## [561] 0.1980383026 -2.3967625055 0.8157361855 0.7709436727 0.9217406555
## [566] -1.0244158528 2.2486722329 0.3620086306 0.0522484227 0.0571926874
## [571] 0.1360311304 0.7988922071 -0.2955547786 1.0532076243 0.6242553898
## [576] 0.4058588411 -0.8348371022 -0.8541469866 -0.6335203042 0.8751956464
## [581] -0.1639334628 -0.5877112654 -0.8876271008 -1.1449467248 0.7559063514
## [586] 1.3048931740 0.1885583695 0.5050335888 1.9982210726 -1.1341360868
## [591] 0.1644385512 -0.1344513111 0.3873636804 -0.5107631311 -0.8540569644
## [596] -0.2779551743 0.4666190803 -0.3455437991 -0.9751629644 0.2652112025
## [601] -1.0980973819 0.6989176064 0.0932943053 -0.0803515586 -0.7267355142
## [606] 0.5430510245 0.4494705257 0.4248224084 -0.4210628970 0.5574865660
## [611] 1.3504843470 0.8878757996 2.2804127939 0.7222261987 0.4231522761
## [616] -0.4064760576 1.2683206108 -0.0287560729 0.0986985655 0.2347850462
## [621] -0.3683699445 0.8109060344 -1.0750793038 -2.0361561506 0.2623855391
## [626] 0.3377598409 0.4149914400 0.4853402992 0.7320556774 0.3509969951
## [631] -0.0722615421 1.7755763388 -1.2969317697 0.9559541732 0.0771653479
## [636] 0.0475167871 -2.2262406560 2.2792502501 1.3609741217 0.4044357726
## [641] 1.5187056722 0.1891761616 0.0428056230 -0.0714134353 -1.2763323962
## [646] 0.7659097348 1.0515751389 0.1439568938 0.2885055073 -0.9443828602
## [651] 0.2314498976 0.0747251360 0.7023632763 -1.1552225063 -1.5299879694
## [656] -0.4356267724 0.1617548560 -0.7216438797 -0.3054394013 -1.4344818452
## [661] -0.6410100336 -0.0176170128 0.8654760529 -0.3095770631 -0.1816304641
## [666] -1.7314483538 1.0538084971 -1.2122195656 -0.2537315029 -1.9178007309
## [671] 1.1243544574 -0.2895781866 0.3455714652 -1.8385350899 0.5739788782
## [676] -1.5120167439 1.6054312067 2.0496597832 -0.9515683889 -0.5902814501
## [681] 0.8847035089 -0.6064000398 0.1515937069 -0.3215195200 0.1343817411
## [686] -0.8164403470 1.3441063058 -0.3837706209 -0.6970180053 0.3123837056
## [691] 0.5786763584 1.3584476470 0.7685866641 0.6509318845 0.2991632332
## [696] -0.6155066863 1.2151750631 0.2359027079 -0.3980700518 2.5810640057
## [701] 0.8550500417 -2.4020659727 0.9740075979 0.6195642773 -0.6312816027
## [706] -0.1353912811 0.9166936537 -0.7568203823 1.0353036373 -0.6426436218
## [711] -0.7519764043 -1.0686704039 1.2519475684 -0.1233911768 0.6145586561
## [716] -0.8725611358 -0.0636897766 -1.4430810798 -0.8553865781 -0.7724750708
## [721] 1.1490601302 0.0829785117 -0.8384062073 0.1735635212 -0.6239146179
## [726] 0.8631237255 -1.5374141485 -1.1420773762 -1.2953257358 -0.0800023811
## [731] 1.3637015190 0.6697641483 -0.1668213028 1.2152949013 0.1118984488
## [736] -1.6748527365 1.0851725553 1.6420404866 0.3690142078 -0.4311400734
## [741] 0.2876492113 -0.4660821731 -0.0043996859 -0.2327847943 0.4893443622
## [746] 1.1734027032 0.7465258068 -0.4046620221 -1.1390029863 -0.8803947815
## [751] -0.1851421186 0.4454948991 0.1594949263 -0.3716706500 -0.8351862750
## [756] -0.8509607830 0.9610063401 -2.0516588411 -1.1277911876 0.1163504470
## [761] 0.8370345754 -0.1402408291 -0.3498174740 0.6663873146 -0.2891248899
## [766] -0.4083074765 0.3896424260 -0.2525724749 -0.4372561764 -0.7407013764
## [771] -0.7257924367 0.9257925848 0.5265286051 -1.1517469886 -0.4636073837
## [776] -0.6527342959 -0.0908209558 0.2877648191 -1.4289504993 0.1445459354
## [781] 0.0860217002 -2.4913821121 -0.8195798576 1.0100656184 -0.0642500613
## [786] -0.2618293512 0.1621816387 0.5037101567 0.7117922224 -0.5507488807
## [791] -0.5952387679 0.4573377909 0.4443805749 -0.4070970184 0.7825326550
## [796] 0.8151914976 0.6786705511 -0.5282884581 0.0736628475 -0.0488010888
## [801] 0.7671839791 -0.5645881432 0.4208525138 -0.6547035404 0.0594923083
## [806] 1.1904722979 0.2901515223 0.0323951129 0.6767924667 -0.8085830747
## [811] -0.3732247809 1.6677500095 1.3225475600 -0.4080565460 -0.0751500182
## [816] 0.6650729193 0.9453700600 -0.2844128008 0.2927361860 -2.1844862178
## [821] -0.3902117221 -1.5715166872 0.2986560326 1.4975159118 -1.4156509702
## [826] -0.4341638852 -0.0630301047 0.0961964042 1.1043231887 0.8900581446
## [831] -0.8868826741 -1.8090861461 1.5169578598 -0.7357359341 -0.1585801704
## [836] -0.3310577935 -0.2706244546 -0.6828135017 -0.9080323076 -1.0352520211
## [841] -0.5837584976 -0.0773581356 -0.7045803406 -0.9140326863 0.2613449846
## [846] 0.4851352284 0.3167444542 1.0397578419 -1.3884962953 -1.5160358136
## [851] -0.1034778748 0.4125799964 1.2107965137 -1.7182902829 0.7109018588
## [856] 0.0556208103 1.5772805170 -2.2007826034 0.5842756734 0.1840007006
## [861] -1.0534664281 -2.6577462770 -0.1300630447 -2.1389347613 1.0518216733
## [866] 1.0669766286 0.0403607713 2.0881901243 0.3390588889 0.3238815075
## [871] 0.6842768514 3.2065359985 -1.8613427977 1.1886191282 -0.1168060858
## [876] -1.4158144254 -0.3001218700 -1.8343688642 -1.1845510932 1.8107252059
## [881] 1.5030966747 1.8892184742 -0.9898507699 -1.5300061302 0.2765331591
## [886] 0.6018013677 -1.2061645381 -0.2971563607 0.8120892898 1.5908563884
## [891] -0.0453404333 1.0311665147 -0.5883782392 -0.1621431891 0.3964919079
## [896] 0.0167817505 -0.9026903496 -3.1395046286 0.6547313800 -0.7668078513
## [901] 0.1167735708 0.5014093131 -0.4310801528 -1.5933694664 0.6384685133
## [906] -0.9908792680 -1.5173544049 0.3418520220 1.5288813061 -0.5365430186
## [911] -1.7397194449 -1.4057692984 -0.1519358840 0.6475212881 -0.9163337538
## [916] 1.4389227988 -0.9814635581 -2.1922229598 -0.7732156085 1.2177376811
## [921] -0.4024007701 -1.0818916535 -1.9601918360 0.5684636731 -1.3743562868
## [926] 0.1179199948 0.9446327240 0.0667749216 -0.8239808509 -1.9674997774
## [931] -0.5813243763 -0.5111765760 -0.7063196583 1.3633793717 -1.4296003513
## [936] -0.9502118783 0.2706502064 0.2741435576 -1.2345467223 1.2250655203
## [941] 0.6906159991 -0.6896565583 -0.7875758641 1.0428857601 0.3763503601
## [946] -0.0496498308 -0.5073403914 1.2177803922 -2.0655352571 -0.2915803129
## [951] -1.2212064055 1.4616698774 -1.4176545733 -0.7653508588 -0.8302990296
## [956] -0.3825848819 0.8923566737 1.4097774874 -0.3680382190 -1.7766292789
## [961] -0.2300619236 1.5108065934 -0.9281979767 -1.2137657846 0.1247400373
## [966] 1.3952370730 -0.0521617927 -0.0797135509 -1.2250182986 -1.1996754220
## [971] -0.3466741988 0.1829065032 -0.2018666163 -0.7405254091 0.4259906342
## [976] -0.0181534612 -0.1060078185 1.0538742206 2.0022843987 -1.0992617884
## [981] -1.0653308066 -1.6401405495 -1.0750471937 -0.2387598309 0.1782986250
## [986] -0.3684701275 -0.4977914593 -1.4599757507 -1.5901408086 0.2943823102
## [991] -0.0642788032 -0.2054418571 0.3931310403 1.1029459077 0.2079968902
## [996] 0.5122132552 -0.2044432052 0.7535619805 -0.9848562704 -0.1770611599sampling_dist <- sample_distribution_mean(data, 25, 500)
sampling_dist## [,1]
## [1,] -0.3201805283
## [2,] 0.0170489963
## [3,] -0.1498295753
## [4,] 0.1151479347
## [5,] 0.2854504274
## [6,] 0.0370924643
## [7,] -0.3606281551
## [8,] -0.1161448746
## [9,] -0.0916759536
## [10,] 0.0625221116
## [11,] 0.6843718377
## [12,] 0.1049351290
## [13,] -0.2717995693
## [14,] -0.1064708277
## [15,] -0.2049889239
## [16,] -0.0136010464
## [17,] 0.0573019215
## [18,] -0.1086666492
## [19,] -0.1307247117
## [20,] 0.2399385364
## [21,] -0.1331251441
## [22,] -0.0019441860
## [23,] -0.3226602650
## [24,] -0.4496789400
## [25,] -0.2883068022
## [26,] 0.1238283608
## [27,] -0.1482309091
## [28,] 0.1921712925
## [29,] 0.0514342304
## [30,] -0.3364160845
## [31,] 0.0240364287
## [32,] -0.0911992591
## [33,] 0.1743301822
## [34,] 0.1628461679
## [35,] 0.1892297790
## [36,] -0.0012189318
## [37,] 0.0523160231
## [38,] 0.4476274052
## [39,] 0.3126494869
## [40,] -0.1404574766
## [41,] 0.1403215577
## [42,] 0.1863710872
## [43,] 0.1376418289
## [44,] -0.0153693395
## [45,] -0.1451749506
## [46,] -0.0004888936
## [47,] 0.0545061907
## [48,] 0.1761893172
## [49,] -0.1213023733
## [50,] -0.0107142964
## [51,] -0.0792359075
## [52,] -0.0424738958
## [53,] -0.0053291921
## [54,] -0.1112556351
## [55,] 0.1715739825
## [56,] -0.1200237083
## [57,] 0.0701586618
## [58,] 0.0963650668
## [59,] 0.0889071284
## [60,] -0.1311925486
## [61,] 0.1038369211
## [62,] -0.0505225123
## [63,] 0.2731356732
## [64,] 0.3010695900
## [65,] -0.0671864311
## [66,] -0.1252199250
## [67,] 0.0818907510
## [68,] -0.1097668502
## [69,] 0.1278490723
## [70,] -0.4846380930
## [71,] 0.0001746197
## [72,] -0.0661198584
## [73,] 0.1284549427
## [74,] -0.1151303212
## [75,] -0.0596892950
## [76,] -0.4427830982
## [77,] 0.0485406258
## [78,] 0.1457650184
## [79,] -0.0689311603
## [80,] 0.0965700960
## [81,] 0.3590585721
## [82,] 0.0053169683
## [83,] -0.2308047269
## [84,] -0.0635426556
## [85,] -0.1020127954
## [86,] -0.0349315963
## [87,] 0.0194133168
## [88,] -0.2996082892
## [89,] -0.4134877610
## [90,] -0.0151538326
## [91,] -0.1708199892
## [92,] -0.1794586853
## [93,] -0.4053307782
## [94,] 0.3103271305
## [95,] -0.0209562051
## [96,] -0.0155603366
## [97,] 0.0798843821
## [98,] -0.0342097271
## [99,] 0.1092337306
## [100,] 0.1693976250
## [101,] -0.3718549893
## [102,] 0.1618920665
## [103,] -0.3169666071
## [104,] -0.1384507789
## [105,] -0.1596221756
## [106,] -0.2412537714
## [107,] -0.1004854007
## [108,] -0.1929925774
## [109,] 0.1466736180
## [110,] -0.5704742797
## [111,] -0.0223383209
## [112,] -0.4356381573
## [113,] 0.0288867281
## [114,] -0.3000993730
## [115,] -0.3452160399
## [116,] 0.0946018509
## [117,] 0.1074313392
## [118,] -0.0073231688
## [119,] -0.2604699904
## [120,] -0.1520427412
## [121,] -0.2288797419
## [122,] -0.0286826819
## [123,] -0.0877585700
## [124,] -0.0568357615
## [125,] -0.2853005171
## [126,] 0.0546991890
## [127,] 0.2039697293
## [128,] 0.2798704376
## [129,] 0.1331703003
## [130,] -0.0283789008
## [131,] -0.0005973914
## [132,] 0.1477044236
## [133,] -0.2277532992
## [134,] -0.2879916771
## [135,] -0.3032029485
## [136,] -0.2061580914
## [137,] 0.0919347405
## [138,] -0.0213102069
## [139,] 0.0946299047
## [140,] 0.0995429066
## [141,] -0.1106277975
## [142,] -0.1670764330
## [143,] 0.3412700546
## [144,] -0.2028247143
## [145,] -0.0067794886
## [146,] -0.0193145947
## [147,] 0.1569448870
## [148,] 0.1802607713
## [149,] -0.1110943026
## [150,] -0.2325768921
## [151,] -0.0345510356
## [152,] -0.1492716458
## [153,] -0.4046253771
## [154,] 0.0345019223
## [155,] 0.4606456795
## [156,] 0.5173693055
## [157,] 0.0632740432
## [158,] -0.4101311664
## [159,] -0.3067145333
## [160,] 0.3230610581
## [161,] 0.0165187110
## [162,] 0.0443268417
## [163,] 0.1857836254
## [164,] 0.1423664016
## [165,] -0.0806204011
## [166,] 0.2037795705
## [167,] -0.0997472486
## [168,] -0.2369938861
## [169,] 0.3878833108
## [170,] 0.2116815184
## [171,] 0.2709033369
## [172,] 0.2691952562
## [173,] 0.1402609367
## [174,] 0.0347345098
## [175,] 0.0465608926
## [176,] -0.1968188751
## [177,] -0.1833264236
## [178,] 0.0425165169
## [179,] 0.0918722491
## [180,] -0.0349663470
## [181,] 0.0607134358
## [182,] -0.0526530316
## [183,] 0.1069170800
## [184,] -0.0350241520
## [185,] 0.0931990769
## [186,] 0.0119263853
## [187,] -0.0890972404
## [188,] -0.2087574055
## [189,] -0.1105814874
## [190,] 0.0929519884
## [191,] 0.1408625816
## [192,] 0.0504752154
## [193,] -0.5252400696
## [194,] 0.2756335170
## [195,] -0.2521250281
## [196,] 0.2982806867
## [197,] 0.2734824065
## [198,] -0.2294618124
## [199,] 0.1528413349
## [200,] -0.4289389733
## [201,] 0.0077662266
## [202,] -0.2283963491
## [203,] 0.0023188355
## [204,] 0.2348282833
## [205,] 0.1135536885
## [206,] -0.0991189313
## [207,] 0.1750740518
## [208,] -0.1890460703
## [209,] -0.2747102004
## [210,] -0.0289652662
## [211,] -0.0572221092
## [212,] 0.0501659711
## [213,] -0.0188144021
## [214,] -0.0859986260
## [215,] -0.2872212821
## [216,] 0.2472926142
## [217,] -0.1933356693
## [218,] 0.1404174915
## [219,] 0.3942830865
## [220,] -0.3828813687
## [221,] 0.0167496638
## [222,] 0.2855063384
## [223,] -0.0354282051
## [224,] 0.2257093280
## [225,] 0.1091643589
## [226,] 0.1624982681
## [227,] 0.1421526483
## [228,] -0.1206597151
## [229,] -0.0698706389
## [230,] -0.2377287032
## [231,] -0.1608653381
## [232,] -0.1564485646
## [233,] -0.1377660973
## [234,] 0.2544154560
## [235,] 0.1590398028
## [236,] 0.0241417140
## [237,] -0.1206757740
## [238,] -0.0219528786
## [239,] 0.4874986608
## [240,] 0.3537090872
## [241,] -0.1961611922
## [242,] 0.1533177036
## [243,] 0.2894434017
## [244,] 0.0093599470
## [245,] -0.1339153074
## [246,] 0.2396817928
## [247,] -0.2830858420
## [248,] 0.1175430416
## [249,] 0.0036650931
## [250,] 0.0851443105
## [251,] -0.0713169568
## [252,] -0.0393832814
## [253,] 0.1143709015
## [254,] 0.0163844364
## [255,] 0.1493260098
## [256,] -0.0173825813
## [257,] -0.0479079202
## [258,] 0.0706706091
## [259,] -0.1817114810
## [260,] 0.2181182115
## [261,] -0.1513965953
## [262,] -0.1544637929
## [263,] -0.1241561398
## [264,] -0.1135619676
## [265,] -0.2279638830
## [266,] -0.2028030610
## [267,] -0.0510581223
## [268,] -0.1890751578
## [269,] -0.2610129593
## [270,] -0.1852371260
## [271,] -0.0095237376
## [272,] 0.0199185861
## [273,] 0.0727377343
## [274,] -0.1448300029
## [275,] 0.0727717314
## [276,] -0.1196529829
## [277,] 0.1968067201
## [278,] -0.2320348219
## [279,] 0.0544083486
## [280,] -0.1071032580
## [281,] 0.4655698821
## [282,] -0.0031479778
## [283,] 0.0913291151
## [284,] -0.2079133317
## [285,] -0.0227030022
## [286,] 0.2592800442
## [287,] 0.0200984524
## [288,] -0.0513143132
## [289,] 0.1305017501
## [290,] 0.0549525833
## [291,] 0.1334471056
## [292,] 0.2320835694
## [293,] 0.3731793298
## [294,] 0.2056972305
## [295,] 0.0848352722
## [296,] 0.0969134034
## [297,] -0.0203793305
## [298,] -0.2320636786
## [299,] -0.3343829213
## [300,] -0.2373316348
## [301,] -0.0934283719
## [302,] -0.1522432590
## [303,] 0.1815846974
## [304,] 0.1950040884
## [305,] 0.1215966801
## [306,] -0.3413076301
## [307,] -0.2079442637
## [308,] -0.3799580876
## [309,] 0.3371672635
## [310,] -0.2449990060
## [311,] -0.1511431378
## [312,] -0.0614215928
## [313,] -0.1219789528
## [314,] 0.1460831288
## [315,] -0.2041009920
## [316,] -0.1101494596
## [317,] 0.0823121009
## [318,] 0.2402301961
## [319,] 0.0484705544
## [320,] 0.0463073580
## [321,] -0.0246681903
## [322,] 0.1337836074
## [323,] 0.2231426251
## [324,] -0.0803050135
## [325,] -0.1014433086
## [326,] -0.1209154731
## [327,] 0.0110623939
## [328,] -0.0285879065
## [329,] 0.1500964422
## [330,] 0.0338945467
## [331,] -0.1368704153
## [332,] -0.0068716018
## [333,] 0.2050215045
## [334,] 0.0185329231
## [335,] -0.0258001011
## [336,] -0.0979176151
## [337,] -0.0554773872
## [338,] -0.0558704946
## [339,] 0.1995262211
## [340,] 0.2518333649
## [341,] -0.0894681945
## [342,] -0.2149883129
## [343,] 0.2870303943
## [344,] -0.2346759836
## [345,] -0.0980117232
## [346,] -0.1618938544
## [347,] 0.1091278249
## [348,] -0.0515359466
## [349,] 0.0315604506
## [350,] -0.0655469501
## [351,] -0.0581446634
## [352,] 0.2070209374
## [353,] 0.1704507814
## [354,] -0.1364997598
## [355,] -0.0357365089
## [356,] 0.2483310703
## [357,] -0.1086978746
## [358,] 0.0917802814
## [359,] 0.4680051977
## [360,] 0.0148627625
## [361,] 0.1158156015
## [362,] -0.0154543072
## [363,] -0.1844656192
## [364,] -0.0878900915
## [365,] -0.0655644894
## [366,] -0.0944497816
## [367,] -0.3043528725
## [368,] -0.2211339549
## [369,] 0.2826055076
## [370,] 0.1360651793
## [371,] -0.0004530316
## [372,] -0.1173021533
## [373,] -0.0894178969
## [374,] 0.0902255417
## [375,] 0.0229761920
## [376,] 0.0249993534
## [377,] 0.3674825217
## [378,] 0.2474665198
## [379,] 0.0451082658
## [380,] 0.0858918756
## [381,] -0.1421732290
## [382,] 0.2701765614
## [383,] 0.3537802517
## [384,] 0.3550338816
## [385,] -0.0995114042
## [386,] 0.1952580076
## [387,] -0.1436320014
## [388,] 0.0099791406
## [389,] 0.0555348008
## [390,] 0.1344505983
## [391,] -0.0583001175
## [392,] 0.4306394708
## [393,] -0.0859465827
## [394,] -0.4185860147
## [395,] -0.0908728594
## [396,] 0.0982895033
## [397,] -0.2043561049
## [398,] 0.0023406229
## [399,] -0.1767754690
## [400,] 0.2053755017
## [401,] -0.0120772598
## [402,] -0.0310387456
## [403,] 0.0983485623
## [404,] -0.0346853986
## [405,] -0.1090316984
## [406,] 0.0877411533
## [407,] -0.0732680009
## [408,] 0.2068445623
## [409,] 0.3938625165
## [410,] 0.0786759036
## [411,] 0.3108083390
## [412,] 0.0552075468
## [413,] -0.2626365125
## [414,] -0.2110779130
## [415,] -0.0709789121
## [416,] -0.1287016110
## [417,] 0.0252673675
## [418,] 0.2335191852
## [419,] 0.0961519024
## [420,] -0.2280504276
## [421,] -0.2638107251
## [422,] -0.0589181768
## [423,] -0.0945071609
## [424,] -0.2874072069
## [425,] -0.0749286397
## [426,] -0.2387830145
## [427,] 0.1498289382
## [428,] 0.3058634162
## [429,] 0.1638617086
## [430,] -0.0495704699
## [431,] -0.2287928946
## [432,] 0.1145833373
## [433,] 0.0447614116
## [434,] 0.0005717553
## [435,] -0.2411840046
## [436,] 0.3688566306
## [437,] -0.0020613158
## [438,] -0.0406035662
## [439,] -0.0342929791
## [440,] 0.1968200925
## [441,] -0.2004739465
## [442,] -0.2600674819
## [443,] -0.2131444222
## [444,] -0.0835879033
## [445,] 0.0721197860
## [446,] 0.1777464304
## [447,] 0.2051220198
## [448,] -0.0085499043
## [449,] -0.2400763000
## [450,] -0.0085306966
## [451,] 0.2123364931
## [452,] 0.5148815450
## [453,] 0.0641518254
## [454,] 0.2377100322
## [455,] 0.5582285268
## [456,] 0.1444825033
## [457,] -0.0582096502
## [458,] 0.1364275982
## [459,] 0.2324746019
## [460,] -0.2898300192
## [461,] -0.1523953575
## [462,] 0.0747895643
## [463,] -0.1294470325
## [464,] -0.0287549413
## [465,] -0.1393292894
## [466,] 0.1088562898
## [467,] -0.1176175335
## [468,] 0.5190651923
## [469,] -0.1801525961
## [470,] 0.1973726053
## [471,] -0.0158948637
## [472,] 0.1000916828
## [473,] -0.1571862157
## [474,] 0.2183161848
## [475,] -0.2397493173
## [476,] 0.1701737811
## [477,] -0.2177612890
## [478,] 0.0642753650
## [479,] 0.1759971363
## [480,] 0.2270969194
## [481,] -0.2263028210
## [482,] -0.0403147388
## [483,] 0.3099222201
## [484,] -0.1784133888
## [485,] -0.0196182928
## [486,] -0.0410902156
## [487,] -0.3492136917
## [488,] -0.0355561842
## [489,] -0.5062056622
## [490,] 0.1591796065
## [491,] -0.0141069262
## [492,] 0.1042999905
## [493,] -0.0905296693
## [494,] -0.1229273486
## [495,] -0.4126235388
## [496,] -0.1665973357
## [497,] -0.0980478689
## [498,] -0.0142328005
## [499,] -0.2276558955
## [500,] -0.0028479632# plot the population and the sampling distribution
hist(data, main = "population", xlim = c(-4,4)) 
hist(sampling_dist, main = "sample distribution", xlim = c(-4,4))
# puts the two plots next to each other
plot <- par(mfrow = c(1,2))
# do this using a new dataset:
library(readr)
human_gene_lengths1 <- read_csv("C:/Users/ahand/OneDrive - St. Mary's College of MD/SMCM_FA25/biostats/LAB/lab01-02_directory/chap04e1HumanGeneLengths.csv")
head(human_gene_lengths1)## # A tibble: 6 × 1
## geneLength
## <dbl>
## 1 2069
## 2 1303
## 3 1067
## 4 2849
## 5 3378
## 6 2391population <- human_gene_lengths1$geneLength # pull out all values for geneLength inside human_gene_lengths1
population## [1] 2069 1303 1067 2849 3378 2391 3926 2365 3717 2974 2663 5286
## [13] 2436 4311 3515 6128 4030 3036 4997 2850 2280 1127 2100 1228
## [25] 2429 2407 3113 6191 2437 3845 2402 1051 2454 3972 4528 2133
## [37] 2073 6467 3993 2200 1421 2193 3097 1627 2151 1037 6861 2587
## [49] 7092 2146 1493 2227 3058 3691 3546 2833 5500 1457 3859 665
## [61] 3572 2033 2891 2906 2184 3135 2700 3277 3636 3518 2277 3016
## [73] 1368 5341 3968 1225 2183 2295 741 4055 2315 5663 3432 2255
## [85] 2132 2718 2243 3397 3026 627 3660 3524 8675 7659 3311 2393
## [97] 5185 1861 3173 4019 7139 1789 4153 5482 2252 14733 3490 4630
## [109] 2289 4559 2996 2649 2574 3343 1475 3121 1938 1792 3656 1539
## [121] 1570 1281 4409 4977 769 775 5098 2696 3486 5708 1082 3277
## [133] 3278 2647 7648 1001 1685 5461 2792 2514 3707 2251 2778 2162
## [145] 2148 4705 702 3997 3231 1163 3907 1438 2022 1082 2995 3415
## [157] 2127 4893 513 4234 2966 2601 1852 2815 5904 4018 2129 2234
## [169] 1165 4917 3791 944 804 5580 4203 13816 7047 2288 8211 794
## [181] 2133 2291 1269 7805 4474 2565 2513 2049 2951 2082 5491 4530
## [193] 1204 2921 7497 2478 2048 2869 3833 3205 2069 3064 1881 5192
## [205] 884 3039 5756 3368 2612 1057 2514 3646 2002 2040 6340 4505
## [217] 3438 2155 3153 4658 11956 3233 2881 811 1497 971 2982 697
## [229] 1827 2897 3554 1111 14138 3358 3676 5077 5451 4614 521 4076
## [241] 5174 10917 8292 2260 2443 7513 2375 3302 4872 3242 3278 6075
## [253] 3265 2324 3426 3333 1826 2280 1617 1625 1231 1744 5547 3568
## [265] 2024 2275 4700 5173 7909 1621 2185 5742 965 3585 3000 1558
## [277] 2731 2716 3278 2650 9086 2151 2675 1622 5567 5641 1031 3738
## [289] 1988 4173 2158 2059 792 1427 6314 2120 2547 1869 2965 2784
## [301] 3241 1423 4531 4210 8217 1745 4768 5684 4519 2287 1457 2060
## [313] 5446 4183 1856 559 1812 1886 7366 1255 3254 2916 1759 2039
## [325] 2611 6189 2138 2970 2493 5482 2957 3482 4394 3583 1433 4242
## [337] 2909 2153 1550 2834 3103 2028 1278 1806 1593 4219 4056 3111
## [349] 2650 4235 1180 2173 4599 3249 2780 4188 2478 3253 3004 3083
## [361] 1268 3226 2736 4065 5283 2153 3184 1805 1734 2491 4749 4080
## [373] 3567 7164 1312 4793 2432 2145 3682 3312 3204 1621 4738 5204
## [385] 7235 2654 2975 4353 4258 3393 2615 1996 2074 1854 1959 5427
## [397] 2880 2297 1181 5695 1831 3274 1715 5144 2088 899 2704 2577
## [409] 3673 5647 2027 3255 1370 2446 3812 4853 2003 1290 2167 1760
## [421] 5212 1243 4703 3875 5956 5743 1996 2691 1607 3670 3534 6874
## [433] 3784 2551 2166 6205 2037 3632 6644 4790 2407 5228 9919 1128
## [445] 2563 1698 1842 4862 1692 2290 1593 1605 5268 3494 3285 1505
## [457] 4041 2445 3134 1512 2731 1605 2004 2048 3849 3965 1923 5747
## [469] 2688 2445 5720 2188 1815 2656 3404 2400 3580 4147 2091 1655
## [481] 1605 1885 3674 3940 2040 2849 1963 1319 1930 5538 3018 8292
## [493] 1033 1264 2778 1636 3959 2113 2666 2490 2148 5463 6320 2099
## [505] 1728 1895 3187 4818 1676 4426 4713 3617 2131 2862 3546 3970
## [517] 5000 4178 5367 6053 4121 2278 7780 3623 3890 2336 2038 466
## [529] 2662 4339 1963 1001 2081 2741 1787 5482 2469 2602 3545 2756
## [541] 1506 1075 4883 2065 6788 4956 1931 2177 4322 2769 2902 4813
## [553] 1772 708 4767 3217 2975 2884 2174 1743 2266 2041 2935 3483
## [565] 6686 2079 6654 4726 10226 11185 6786 3682 4813 3940 13971 6280
## [577] 4103 3658 4901 3265 1715 1908 7884 2526 4038 2638 2612 1917
## [589] 1212 3261 3375 1382 1167 2946 3278 2336 7544 2028 1060 2690
## [601] 2273 3240 453 1983 3412 3001 1566 777 18883 1177 8451 3060
## [613] 1454 3147 6463 2681 2421 2129 1723 4185 597 5470 3496 4556
## [625] 4248 5807 3906 3488 1674 3593 3216 1993 5382 4582 6284 2402
## [637] 2152 3799 4368 7360 7221 3322 6618 1931 5084 3711 3809 2829
## [649] 6632 4241 3653 4471 4565 7368 4631 4650 2506 823 4790 4929
## [661] 4219 994 5501 3450 2110 1867 5312 14599 2384 4949 4640 2831
## [673] 1411 2010 2842 2649 2204 6278 652 1883 2926 2372 6133 2344
## [685] 2274 1692 8224 2161 4878 1869 2677 1899 2161 10624 2113 2636
## [697] 5540 2846 1825 3647 2109 4097 7410 2468 2393 1928 2701 3216
## [709] 3413 1865 1979 2255 9094 4580 1625 679 1561 1282 3609 6487
## [721] 1612 3847 4395 7931 4570 1741 2300 3476 5653 4719 2635 2329
## [733] 1357 1185 1300 843 4772 2748 10503 3068 2671 3245 1260 3609
## [745] 906 2100 6902 6033 2523 2148 3630 3594 10507 1662 2169 21842
## [757] 6512 7214 1827 3025 1719 1793 3502 3989 1963 1662 3894 3208
## [769] 2789 4274 1215 1844 2806 5885 14977 2795 3982 6109 2151 3260
## [781] 2910 1182 4714 3495 4628 1916 4894 3668 6323 5825 2601 2357
## [793] 2908 2044 4943 3262 6093 1706 3392 4426 3266 2475 2273 5165
## [805] 3218 4710 1613 5332 2717 7030 5175 4953 3635 4628 4088 2432
## [817] 6274 4800 9038 5009 1832 1803 2517 3760 5110 2276 1948 3411
## [829] 3262 5130 2013 1001 4041 2244 3225 4183 3744 1912 2751 7149
## [841] 408 3858 2420 2068 2586 2362 5608 1595 3825 6355 4719 962
## [853] 1799 8174 4189 1830 2618 1597 1452 4982 1864 1939 3245 4551
## [865] 6067 3670 2012 3304 2420 3652 3025 3119 656 3680 6301 2509
## [877] 6468 3443 4292 3837 2694 5697 2962 640 1645 1122 3034 2621
## [889] 3500 2480 618 1915 2801 3686 2188 1477 2940 2893 5319 2653
## [901] 2709 2595 935 1376 1403 2184 2534 3600 3395 4194 4743 3984
## [913] 3669 2866 1438 1783 2546 3045 3784 6859 2021 2735 2454 6704
## [925] 4958 3446 3166 2072 2816 1340 1418 4877 3032 2400 2970 1533
## [937] 6346 4728 2653 1616 1067 4706 3138 5965 2017 3858 3254 1523
## [949] 7053 1990 1728 4514 2770 4975 2026 3686 2000 2727 1679 3461
## [961] 1393 12227 7834 2122 3770 2475 4335 5990 2208 5610 1493 2038
## [973] 3344 2561 1322 3785 2105 5688 5237 2153 2200 5481 1504 4487
## [985] 3127 2865 6057 3881 7327 3329 4417 2350 1687 2584 3146 10434
## [997] 3274 1482 1373 858 2246 3346 5040 1911 2891 4576 2847 1930
## [1009] 3942 2083 4117 2283 6627 4055 6948 2748 4608 2635 3921 2558
## [1021] 8120 4410 2644 2134 2796 1591 1744 5251 2789 4202 2203 3690
## [1033] 2382 2041 2671 4469 2374 1506 6270 4371 1339 1919 4200 477
## [1045] 2318 4556 3542 4703 8846 1473 1457 3764 6574 4065 3131 1526
## [1057] 4054 8448 1961 4075 1163 3925 2106 2980 5240 2740 3393 2360
## [1069] 5333 3072 1651 3238 2051 3286 3851 7613 6150 1419 4739 1739
## [1081] 5810 3663 4379 3359 2425 6605 4292 2531 2410 2737 3447 650
## [1093] 630 2362 2589 7714 5463 9564 2562 4170 1791 3228 1975 1861
## [1105] 4273 4650 734 2212 1147 2554 1053 2021 1360 3859 4235 995
## [1117] 4235 1853 7008 1880 4188 2677 2814 1798 1158 5288 3744 514
## [1129] 5521 5903 1263 2251 4082 7078 2893 627 4278 2886 5979 7590
## [1141] 5481 520 2490 4473 1634 1749 2472 2018 5100 1259 2516 1885
## [1153] 4916 3610 2204 2285 3542 4362 1888 2485 3484 3064 1289 1651
## [1165] 4094 1630 4803 4816 2182 6705 4983 3131 3045 6891 3914 2285
## [1177] 3963 2115 442 4141 1159 3055 3946 2204 5726 1733 1229 7853
## [1189] 2349 924 4408 3062 2185 2559 264 5317 1317 1705 4466 6048
## [1201] 4234 3185 1311 3635 2475 2671 5641 1019 3436 9669 2547 4814
## [1213] 2792 2155 2751 6729 3740 3670 5012 4172 5840 1327 5858 2651
## [1225] 5356 4453 1839 9725 956 2947 2986 3166 5617 2196 1541 3968
## [1237] 2170 2273 4400 4575 2494 2910 6430 1127 4575 1943 3485 1623
## [1249] 2282 3196 2068 2087 2555 2338 3432 3897 2932 2314 4896 4280
## [1261] 3385 3975 4557 2557 2280 3082 1335 1624 6435 3166 6743 3226
## [1273] 4776 2863 2152 4465 3595 3544 4403 2572 1952 10706 3640 3932
## [1285] 4090 8076 1002 8070 1366 4121 2159 2033 3990 1449 1532 4528
## [1297] 4857 3974 1890 2656 3465 1582 6821 4525 4718 6181 3442 2757
## [1309] 3214 6685 11455 2044 1812 4491 1016 4150 2091 4487 2563 4738
## [1321] 7543 1878 2464 1087 2007 5850 1203 2520 2889 5173 2560 1512
## [1333] 4258 11389 2068 6496 1515 1310 3938 1220 5043 1329 6998 3458
## [1345] 1911 6889 5095 891 3397 7039 6120 2656 1804 2724 5551 3573
## [1357] 4786 510 3210 2232 2884 4854 3776 1689 1544 4275 1013 3018
## [1369] 2783 3743 1117 1974 1704 5871 5224 2524 2064 2251 3462 2376
## [1381] 2093 6263 4024 3902 744 7580 2006 3767 3362 1770 3256 3580
## [1393] 3714 2659 3889 3270 2663 3231 1867 1124 6294 5967 1513 3129
## [1405] 5204 3575 3004 897 11102 4430 7072 3443 4323 2516 3568 9406
## [1417] 1602 2593 1116 2611 2413 2552 3825 1636 2384 3430 4181 2145
## [1429] 1997 3160 3576 3158 1794 4070 1498 4529 3857 2947 3261 928
## [1441] 6619 1901 3272 2470 2529 3296 2778 8028 3445 2205 3065 6605
## [1453] 1361 2930 7235 6551 4149 2820 3761 3127 2036 1314 3842 2013
## [1465] 1643 1016 1789 1637 3819 1384 6671 5318 6920 3158 6480 2318
## [1477] 4124 2078 6278 2371 1897 2309 3603 1398 1933 3463 3697 2100
## [1489] 1337 3770 3936 3305 1113 3247 2575 7241 4577 2978 4245 3604
## [1501] 3479 4969 1726 5473 3813 2029 1003 7350 1997 2096 1442 3451
## [1513] 2470 1587 2706 3614 4316 5079 2950 1607 3671 2775 2291 3415
## [1525] 2283 2461 4776 999 1860 3275 7419 2627 3704 7588 5774 1714
## [1537] 2757 2294 1651 6174 10804 2175 1723 2998 2515 2618 3046 2693
## [1549] 2005 2704 3510 4270 4888 5319 1262 5276 2102 4149 3794 5547
## [1561] 1116 2032 5750 3345 3050 2828 4156 2239 3230 1978 4095 5027
## [1573] 6172 2742 3052 1686 4960 5154 14384 2000 2550 1267 3311 5964
## [1585] 3038 3796 4631 3621 6115 5503 599 5113 3756 4040 2321 2122
## [1597] 2642 2447 2174 3338 5000 2919 2660 3314 2364 5900 8728 4446
## [1609] 6328 5672 2085 2006 4105 717 5376 1602 4769 4725 2356 3371
## [1621] 6809 4808 870 2933 5067 4013 7899 873 3692 7850 4999 5807
## [1633] 4778 3037 3004 2191 3857 7304 3103 3008 2107 3445 7437 3369
## [1645] 2144 1533 5371 2361 3000 2417 2508 2211 2170 2210 6530 729
## [1657] 14770 3245 2541 2574 1300 3103 3367 3415 3663 3139 4022 740
## [1669] 3721 2621 3838 2672 1416 2493 5465 4853 14121 4708 3225 5162
## [1681] 5378 3534 2186 2927 1869 7108 7661 1463 6552 10332 1195 1277
## [1693] 3131 5731 4549 2849 4540 3450 4236 4602 2233 3395 5448 1308
## [1705] 4044 4872 3207 1398 4737 3700 3236 1927 2184 4524 2623 4257
## [1717] 3156 801 4070 3312 3520 2726 3096 5734 2242 4076 1404 4602
## [1729] 5129 1512 4357 2632 4388 2305 2590 2576 2597 1143 651 3383
## [1741] 2231 13050 2297 2034 2964 1674 1427 2045 2882 1996 10206 2882
## [1753] 1965 3442 2385 2423 4681 2349 1062 1658 2911 870 3003 657
## [1765] 4042 2523 3636 2103 3516 2156 1319 2501 1790 3069 581 1914
## [1777] 2222 4548 7333 2889 4738 2064 4552 1080 5045 2368 2693 3868
## [1789] 3088 3295 1872 2396 4958 2863 2339 2849 1303 510 4002 4519
## [1801] 1343 1447 1983 4257 2268 3943 3765 2993 1475 4077 1885 4335
## [1813] 1655 3770 2918 1374 6664 3105 7592 2494 1848 6060 2654 1614
## [1825] 1710 2738 5149 1155 503 4927 8635 2184 7884 1560 3644 3093
## [1837] 4015 3626 2788 2374 3929 5247 2217 3425 2130 640 1064 2152
## [1849] 929 1693 2527 3135 3216 3855 2449 6944 3011 1430 3430 4095
## [1861] 4079 2084 2306 1343 8600 1264 4112 1173 4182 5260 2945 2454
## [1873] 1488 3825 2036 961 8646 1822 1859 1631 3835 4282 2467 1389
## [1885] 4854 1033 1058 3920 3924 3479 1659 1689 1990 1509 3869 2947
## [1897] 2094 2547 3369 2589 3070 1449 2472 5028 731 4517 2780 4507
## [1909] 1604 2712 1328 994 653 656 3511 1327 2188 2998 3160 2334
## [1921] 1516 6009 2436 2072 2850 1797 1624 2397 3502 1805 3521 1035
## [1933] 4249 1212 4402 6938 2999 4267 1774 2280 4070 3335 7999 3344
## [1945] 3910 4326 6604 16382 4706 2340 1313 6799 3351 3728 1017 7239
## [1957] 2766 3581 3484 5854 6225 5828 4923 2862 2320 7056 1930 2368
## [1969] 4535 3828 5575 4258 7176 886 1790 4382 2318 3306 11868 1409
## [1981] 1171 4434 3097 888 1627 10748 3919 1379 1931 6455 1636 2227
## [1993] 1536 2125 4521 784 1003 1828 7296 1621 4380 6047 1201 4214
## [2005] 1547 2344 4798 2156 5533 5668 4501 3858 4677 4174 1285 342
## [2017] 2701 2095 3043 1569 6848 7243 3949 2529 4477 2307 3492 1911
## [2029] 2511 3067 702 7478 1526 4447 4039 4354 2506 4548 1774 3176
## [2041] 2038 1909 1290 3927 3047 1712 2282 2412 1608 3694 1879 4135
## [2053] 1068 3318 1593 2837 2184 3132 1798 839 3395 5793 3145 4686
## [2065] 1325 2526 1887 4037 5232 2076 3384 5093 5633 2777 3153 1377
## [2077] 3866 4022 5124 2967 3103 2546 4655 7036 1569 1808 6753 2245
## [2089] 4510 5926 2889 1523 2354 5581 3063 2513 1374 855 513 9014
## [2101] 1036 1226 2091 3869 4744 6019 1060 976 1354 994 2182 1266
## [2113] 2375 540 2793 3797 894 4086 1895 651 1558 932 2571 572
## [2125] 5673 8834 1964 4113 3078 722 9588 4088 2292 1995 3500 2747
## [2137] 5440 1872 1564 3172 2989 3286 5362 1356 7582 5182 2797 5502
## [2149] 1515 1926 2549 1695 1922 3311 5886 2920 1128 7464 2648 3500
## [2161] 1507 3510 1699 2200 6453 856 309 1608 633 642 1326 995
## [2173] 2407 4754 802 834 827 2084 2681 1661 541 1162 1956 1444
## [2185] 4919 2871 6273 1254 3795 3406 2960 2134 1530 1363 2823 1608
## [2197] 2056 1748 4293 4017 2717 884 3440 3508 3349 2219 2869 5172
## [2209] 4216 2260 5637 1714 3554 927 2238 562 4453 6050 291 663
## [2221] 1862 7222 1962 3183 2917 2478 1044 2817 1236 2082 6202 3858
## [2233] 2005 4282 1385 2705 2749 2627 2435 5151 2553 3106 853 3200
## [2245] 1697 713 2040 3931 3561 1561 3628 2697 556 3139 4013 2361
## [2257] 2005 6300 539 4539 2398 2821 1279 3812 5285 3565 1545 636
## [2269] 1132 968 2065 2441 1475 5411 2675 570 2861 1273 5292 2065
## [2281] 5882 1874 929 4588 2450 2791 2028 1705 1622 4761 2269 7279
## [2293] 891 1089 1125 1095 1251 1819 2018 3168 2147 3537 3435 3822
## [2305] 5485 3989 6124 3972 1892 1480 1070 1437 2658 3252 2725 1738
## [2317] 3249 1657 1489 4175 4078 2321 3750 4919 949 1550 1367 4685
## [2329] 2533 1029 2022 848 2972 3346 3951 3376 1374 2978 1929 915
## [2341] 1914 4425 3235 2778 5963 5695 1467 2536 3010 2805 7274 9892
## [2353] 1715 1336 3918 1547 2154 5169 1735 4214 1068 424 2775 1396
## [2365] 2996 2261 1050 3456 1854 3192 4038 535 8765 3659 2523 4222
## [2377] 5916 1047 2741 4315 1648 1266 903 4444 4570 5218 3629 2684
## [2389] 2695 342 2509 3297 1378 1272 924 902 923 2485 2379 2534
## [2401] 1566 1687 1827 3999 2982 10253 2828 5276 1566 3924 3542 889
## [2413] 1376 1316 1668 2506 1488 1393 2439 925 1274 789 1424 5102
## [2425] 3545 2025 1363 4256 3175 7232 3845 1945 1944 2119 1994 3197
## [2437] 1322 2373 2283 5548 2742 1827 793 3938 5388 2815 1579 5788
## [2449] 1659 3323 10276 1427 3135 1310 4124 3306 7690 1088 2165 1661
## [2461] 1586 5733 3870 4425 2346 1053 2592 4935 1593 6453 1547 4495
## [2473] 2970 3117 4871 2346 1247 2147 2607 7435 2180 5677 4268 1011
## [2485] 1553 837 1369 1277 2229 2354 2108 3843 1949 2598 2270 4896
## [2497] 1746 2692 1899 2335 1930 3162 4131 1835 1449 3249 4928 1162
## [2509] 2446 4652 2119 1676 2713 762 3239 2964 2720 2491 1082 3026
## [2521] 5136 1091 6326 3452 4713 1208 1830 1803 1879 1634 2409 4037
## [2533] 2255 1482 3073 3496 2525 1386 4795 1069 2776 4131 1634 2455
## [2545] 4183 4425 2586 1355 1425 3274 618 7918 3773 1843 2507 4559
## [2557] 2495 1890 3735 3249 2368 1672 2965 2235 2344 2489 5426 2834
## [2569] 2597 531 1921 2704 2704 1155 2011 5354 2781 2365 2797 5150
## [2581] 669 1746 2556 2593 5525 1187 2085 4028 2041 344 5216 2701
## [2593] 4778 6098 3344 1933 1174 1527 2545 5927 726 2113 2340 512
## [2605] 3757 2506 4214 1726 1634 1820 953 2574 775 584 759 2223
## [2617] 683 2137 6251 2425 2434 3305 1288 967 2437 1832 679 1157
## [2629] 2220 2208 6030 2855 5385 1402 2948 6518 3649 6227 5008 5846
## [2641] 1223 2868 2593 7770 6203 3086 4134 9151 1897 9036 2613 2470
## [2653] 7360 3232 3498 1978 528 282 9633 3127 1544 2495 6521 5874
## [2665] 1695 1875 5437 3504 1279 755 2692 3714 3868 922 2052 2467
## [2677] 4193 2358 1300 2467 2124 2724 1494 1850 3219 8413 3696 6115
## [2689] 3658 2802 3664 2264 6028 2429 921 2603 1699 3109 882 1470
## [2701] 4165 3165 2638 1650 1263 6870 1948 609 4720 462 1095 1619
## [2713] 1233 4288 2054 4200 1451 1144 2777 972 1211 1905 837 2318
## [2725] 1497 3881 1687 3073 2313 3604 7733 1951 1671 3803 4931 3156
## [2737] 3290 1561 1413 2755 1212 1800 891 5761 3151 4977 4273 1070
## [2749] 2178 4684 2231 1876 2204 2123 3631 1782 2306 3498 2340 1193
## [2761] 596 1350 3395 1229 2997 5346 905 3009 2636 1204 6268 1239
## [2773] 3346 2011 3555 2345 1415 3460 4828 5304 1417 1624 5468 2934
## [2785] 1293 1463 4455 5783 956 5688 4248 1668 3676 1428 1970 2343
## [2797] 4814 4064 2826 2437 6426 2784 1460 1547 1619 1786 1305 2480
## [2809] 189 4189 1657 882 2681 2166 2226 14219 4342 7104 1512 2100
## [2821] 1494 4817 2894 2052 285 3779 2034 1776 1239 1822 4435 2253
## [2833] 1785 5241 1798 1013 3266 1660 2054 2773 3104 4220 4816 2953
## [2845] 5262 4039 3415 2720 4021 1354 2419 3129 3310 718 3355 1000
## [2857] 3200 2193 1107 1604 3488 3840 2180 1354 6453 1839 3313 4555
## [2869] 5543 3005 1006 1582 6319 4226 2600 2514 2229 2276 4308 1157
## [2881] 857 4556 1090 3583 1470 1559 1213 1695 2266 3499 1396 3584
## [2893] 4742 6371 2582 2252 5126 5399 1694 3110 551 5143 1308 2846
## [2905] 4059 1646 2684 3444 2514 4669 2851 321 4868 1545 4178 868
## [2917] 4557 1647 1385 2350 1829 1518 4226 3361 1912 3202 5125 3550
## [2929] 3020 4279 1154 4614 2949 2753 3617 1946 3279 2443 15136 2026
## [2941] 1733 2576 3086 3701 6166 6485 2393 1467 1398 3316 3290 1447
## [2953] 7080 5897 1980 2882 2875 10468 4344 5677 3136 1208 2204 4305
## [2965] 2742 6927 4585 9610 3309 1000 1714 7752 1167 3894 1234 1679
## [2977] 3940 4543 4144 1495 4360 3817 1984 4339 1793 7100 1551 3910
## [2989] 2460 2521 4326 4621 5184 1892 1251 2531 2423 4462 2758 4037
## [3001] 3241 2255 3916 2654 4051 818 2681 1081 2272 1148 1500 1238
## [3013] 3742 2796 3752 1238 2074 772 2637 10017 3861 396 3667 3289
## [3025] 723 9388 1751 2050 2615 2205 1588 2956 2862 2453 2118 4609
## [3037] 1543 7403 2683 1030 1561 2262 1708 1430 1723 1799 3238 1520
## [3049] 1629 5592 1886 3533 2636 3335 1374 2362 2505 660 3450 582
## [3061] 2240 1747 2242 1073 3556 2499 732 1196 2098 2205 523 881
## [3073] 2286 2052 4372 3221 2469 2270 2234 754 390 2340 1446 1192
## [3085] 1556 5733 1062 2355 5250 1215 2949 1142 1820 1289 1618 2008
## [3097] 1029 1489 1142 2166 1121 478 1560 1920 1888 2455 2218 5658
## [3109] 1976 1665 1580 1789 1857 2315 684 2784 2386 2445 1513 573
## [3121] 1829 1434 3258 1698 982 1927 1448 3297 2651 3324 1803 1860
## [3133] 3285 3525 1809 3599 2296 2312 3254 777 3055 1321 1107 1946
## [3145] 2273 558 4449 605 2572 601 1114 2534 550 3384 1783 2075
## [3157] 2885 2114 5502 3054 2751 1164 1419 2577 1475 1760 913 654
## [3169] 3370 4635 2842 2970 3117 2375 2442 2015 3872 4740 1838 2555
## [3181] 5438 1692 1191 2221 6783 1456 2937 1108 970 1237 847 1505
## [3193] 826 3001 834 4277 2109 2275 1380 3888 1779 1671 1842 751
## [3205] 3545 1918 6501 515 1425 7998 1557 1531 2414 4298 1002 1405
## [3217] 2438 2996 3083 2815 3787 2464 1796 1250 2087 1878 1459 1029
## [3229] 1247 2680 1926 3301 1320 1308 1577 2762 3056 2587 4869 2562
## [3241] 1564 1821 2082 1612 1955 4833 880 2126 1069 4025 618 2490
## [3253] 1683 2497 3881 1032 1466 3740 1828 4006 6723 8463 2451 1214
## [3265] 1134 1820 1045 3558 2294 854 1439 363 2425 1562 427 1709
## [3277] 2276 1416 1760 2673 2363 2962 1505 1459 2665 2186 2449 3597
## [3289] 3526 6234 2179 962 2176 2268 2136 2243 3004 2136 5576 11591
## [3301] 1769 1754 2206 1498 2780 3892 5352 1075 1564 3793 2828 2243
## [3313] 2985 3182 13694 1900 1414 3738 1189 1540 2097 2218 3120 7169
## [3325] 2113 4181 1181 2297 2699 1153 3112 2088 2704 6675 2259 4848
## [3337] 2310 2514 981 1773 3396 2355 1332 863 2878 5579 1075 3943
## [3349] 2562 629 2485 5271 1601 1976 2886 2017 2854 5293 1467 5290
## [3361] 2245 2834 2090 4407 2742 2112 2723 3433 2754 1613 1082 4126
## [3373] 813 360 847 2706 1362 1031 5413 2206 5520 3052 1491 699
## [3385] 7909 2737 4414 1446 1923 1219 2880 1880 1182 2010 1510 2197
## [3397] 1749 2808 3591 2877 2189 2227 2867 938 1405 1776 2825 1593
## [3409] 2896 2129 734 1179 3003 681 4228 2967 6118 2685 3569 3336
## [3421] 2818 2464 2263 2519 633 2115 1869 695 865 1676 5493 1605
## [3433] 1439 2252 5034 951 1462 890 1082 1072 4360 945 2111 2071
## [3445] 3094 4080 1568 595 2749 1667 2765 2272 1786 5554 2556 3332
## [3457] 1741 3517 2410 7350 3733 5232 4480 1793 2759 2485 6186 4454
## [3469] 2422 2308 561 5462 2960 2462 3165 4749 3321 1241 2992 1394
## [3481] 5371 1979 3209 3130 753 1709 889 967 932 3777 5119 4232
## [3493] 7230 6891 3789 4308 2507 5109 1609 3049 2807 1919 6298 6546
## [3505] 2401 4351 640 2654 4166 2092 6173 1491 3778 8560 2485 2019
## [3517] 8151 1992 1896 3060 1220 2424 2923 1447 4110 1970 3067 6128
## [3529] 3717 1577 2491 6399 6059 1932 3555 5275 3051 11334 7396 4290
## [3541] 2674 2537 2697 4588 2212 1366 3750 4561 3933 11070 4689 5305
## [3553] 2384 3123 7388 1599 2395 1330 2975 993 3602 2739 3089 2637
## [3565] 2482 1104 868 6156 1388 6376 7107 5840 2344 1116 4898 5360
## [3577] 2285 1621 2262 2463 4579 1176 2338 2572 3995 5266 3454 1418
## [3589] 3096 1505 3270 1320 7264 6843 2430 2745 4078 3878 1936 5704
## [3601] 2904 3652 1003 4205 7035 1211 2192 2449 2543 2287 3362 1995
## [3613] 2147 788 5058 3725 2280 2146 1493 920 4869 753 2176 698
## [3625] 2430 1820 4699 1684 2147 4096 3356 2372 1489 3778 1489 1417
## [3637] 1280 1736 5785 1383 4326 2860 3656 2010 2472 4201 2164 2397
## [3649] 1513 2348 2279 2900 168 2594 2155 3703 1123 1361 3314 6107
## [3661] 4848 7383 1661 1494 1357 807 1706 1490 1742 2463 7662 2358
## [3673] 1163 2756 2417 8025 2582 3266 1196 1888 3046 2914 1950 2701
## [3685] 1035 1676 902 2065 2316 1615 3306 1580 2258 3440 804 743
## [3697] 1260 542 2608 2808 1708 2613 3105 1654 2780 645 4982 2586
## [3709] 5275 2109 4631 1680 2442 5920 1396 1788 702 2696 2909 684
## [3721] 2335 5041 5270 3397 411 4480 2918 4099 1262 3784 4008 2659
## [3733] 3648 3215 2267 1781 408 2700 998 2214 2870 1375 2832 1174
## [3745] 5925 1989 6011 1873 4676 2022 3569 832 2114 3525 1828 2697
## [3757] 1647 1586 5873 1359 2996 3029 2684 11127 2738 5842 1412 1619
## [3769] 2468 4205 3820 1774 887 576 1118 321 809 2443 1404 744
## [3781] 4086 1239 3296 2578 3081 3218 412 1048 5286 1846 3715 3334
## [3793] 3106 1035 2127 851 3640 1421 1504 958 1042 3953 2326 4280
## [3805] 2995 1984 4357 2235 3616 1866 3572 2273 1924 2186 8140 5179
## [3817] 5156 2165 5309 1757 2594 1411 6570 2038 3204 5157 1559 2857
## [3829] 3410 1814 4661 2351 6317 1752 714 1418 6119 2090 2491 1957
## [3841] 1777 2476 4151 6468 2064 2413 2910 3652 2260 1349 3534 1285
## [3853] 2884 2394 1828 5642 6299 3457 5083 2313 1832 1479 4562 1957
## [3865] 4794 6591 1535 1530 1741 4594 4288 1892 2154 2080 2120 1609
## [3877] 3033 2445 1331 366 844 2761 7517 1866 1469 533 5495 4084
## [3889] 3913 3795 3649 2503 3736 6120 1777 4186 915 3081 1726 3654
## [3901] 5064 2408 2387 11696 1737 2113 3116 2167 502 959 5113 6016
## [3913] 1769 3690 2431 1541 1281 2909 430 2733 791 3579 1606 4197
## [3925] 529 1212 6743 779 2680 2715 6655 4880 2967 2769 3133 8643
## [3937] 2342 2890 6076 3602 1674 4186 2029 1484 1221 3811 3911 1573
## [3949] 4397 3916 4105 6349 1892 4469 5601 2220 1045 1839 2356 3286
## [3961] 696 2352 2451 1288 1427 1226 1487 3033 5009 3600 2026 1910
## [3973] 2060 2153 3571 2222 2579 3237 2155 3623 561 2589 1316 883
## [3985] 1458 3112 744 806 2157 6841 5405 3019 2314 1488 3566 3748
## [3997] 2951 2398 2403 1038 5780 2237 3475 2131 1888 1611 6715 468
## [4009] 2954 1102 661 3124 1242 1792 918 3849 3323 1131 2321 2775
## [4021] 3909 3281 2101 3327 2884 1897 4704 5352 516 1213 3284 2920
## [4033] 3116 1757 4376 3418 3329 661 1310 2619 6481 1886 4622 1822
## [4045] 1696 1923 1118 1567 3159 1233 5614 1185 2423 4346 542 2178
## [4057] 2297 7015 2629 891 1846 4406 2976 2903 1303 2400 1741 2583
## [4069] 2102 1283 4676 594 2894 4459 548 2075 3607 3389 1162 2205
## [4081] 2295 1447 11525 2938 2122 2846 4008 968 2643 3830 975 1491
## [4093] 4671 4936 3142 1567 507 2440 4056 4415 4119 1621 3199 918
## [4105] 1325 3367 5520 5334 1660 6860 7709 4189 760 1128 720 384
## [4117] 880 1330 3140 2738 864 2585 2062 2531 3725 2145 2555 2097
## [4129] 3205 6744 3403 3756 1886 5012 3569 2033 760 465 1358 2020
## [4141] 1026 970 6425 1859 808 2427 5545 1632 8910 6234 3457 2433
## [4153] 17400 3062 1920 2168 9113 2394 3025 3081 5087 1753 3009 489
## [4165] 2124 1891 2332 2777 2076 2982 4745 4378 3995 7297 756 5563
## [4177] 3285 5248 2637 3489 5170 7050 3099 2003 735 3187 498 2395
## [4189] 6031 1215 3077 804 3205 1536 2261 7142 3257 1448 5597 3061
## [4201] 1951 8658 2576 5620 6803 1911 3457 1900 942 966 966 951
## [4213] 2874 2355 989 1724 2979 5305 594 3581 2116 1676 2509 2239
## [4225] 828 4693 891 6953 1814 4401 1565 2353 3085 2050 1988 3238
## [4237] 1845 2269 2971 6347 2949 1195 4249 4200 7695 1347 644 1521
## [4249] 4444 392 4388 1671 4643 3268 3583 411 6681 2966 2283 2512
## [4261] 2884 6454 5590 2759 4316 933 3779 876 2709 2897 1824 6366
## [4273] 2744 2489 3487 2356 4104 3225 2532 3832 4413 2045 2298 1225
## [4285] 4059 3033 4565 1464 2849 2643 1306 2344 3258 1947 1045 3060
## [4297] 2157 1851 3138 1821 4475 2599 4492 1737 3173 2913 3030 3715
## [4309] 3550 2506 2762 1475 6704 4366 1847 2261 6065 3425 3285 6189
## [4321] 2347 2145 1407 4371 4078 3887 2466 699 4542 4521 3395 4131
## [4333] 2676 1317 2645 4173 1097 2883 2850 3522 2213 3642 5766 2476
## [4345] 1925 2165 3143 5227 921 5860 816 6038 2265 1611 5181 1633
## [4357] 4355 2362 2341 4783 2349 2107 5239 3834 2730 2064 5949 2744
## [4369] 2576 2136 4142 1915 4181 5048 7009 8635 5256 3948 5706 1699
## [4381] 882 1239 4299 6908 1847 3386 3071 2635 3778 4594 5268 817
## [4393] 3525 2427 1371 2194 1938 1951 4236 1713 1494 1385 7013 2707
## [4405] 4934 978 828 2499 2009 1827 5164 3463 2660 687 713 2000
## [4417] 3177 1598 2352 10088 4822 2443 1433 1448 1593 5837 3481 9261
## [4429] 3058 3370 1453 3679 7091 4045 2419 2185 1975 9362 2518 1682
## [4441] 1664 550 1198 785 3020 3907 3439 3033 3302 1656 2243 3459
## [4453] 3738 2246 2100 3032 2523 2224 4776 2032 998 8994 4542 1969
## [4465] 2147 2058 4080 4612 3978 1957 6034 2780 1732 3237 5727 5042
## [4477] 2988 1584 3970 1423 3722 3577 1560 5800 1599 1822 1012 1415
## [4489] 3975 3847 5551 3161 13183 3062 4200 686 7263 2697 5243 5520
## [4501] 800 2719 4238 3765 958 3079 1144 2356 5243 2395 2210 4441
## [4513] 2925 831 9901 2889 1298 2706 2125 2850 2426 2710 4282 6539
## [4525] 4917 767 1675 4853 1072 3909 7155 2787 3720 2208 3042 6760
## [4537] 2795 996 3594 1711 2883 4611 1630 4925 1952 2043 2214 2252
## [4549] 1921 1792 1372 2661 1032 11650 3420 515 1639 1152 2856 3356
## [4561] 685 1791 2377 4260 2287 7315 1707 4837 2310 3121 2473 3871
## [4573] 695 1766 6205 2433 1815 1347 4537 2674 2744 808 1714 8704
## [4585] 4154 4784 4243 4238 1852 2169 1401 4631 6237 10787 1923 2946
## [4597] 2331 3155 1143 5042 2165 1528 1974 1361 4242 2362 2834 1016
## [4609] 2680 544 4724 3091 1992 5892 1454 2301 4350 4907 1697 1964
## [4621] 2505 3522 2668 5440 1702 2379 2059 2083 2973 1389 5143 5032
## [4633] 1953 4551 2138 3135 1756 1362 2295 1751 2062 14490 3331 2250
## [4645] 2487 2791 3325 5900 2429 1673 3635 2961 2073 2091 6274 2322
## [4657] 2751 3146 4428 4500 4002 1637 1618 4575 3120 1887 1976 2818
## [4669] 3011 2757 2664 3574 6090 4499 6461 2522 2381 3951 1607 5137
## [4681] 2808 1199 1850 2706 1144 1910 5147 4263 2315 1422 6346 3618
## [4693] 3113 12922 6273 3428 4248 6023 4638 4716 3229 1641 1227 2435
## [4705] 2571 1100 6918 2440 3545 5846 5984 4097 1691 1969 1656 1853
## [4717] 3393 1477 3529 2084 9646 3314 2480 3644 3100 876 4000 1774
## [4729] 4057 2139 2289 2879 6229 2407 1624 1586 2091 3025 4317 2556
## [4741] 1590 3436 9926 1625 3063 4321 4783 4106 586 5873 5040 1239
## [4753] 249 1534 1516 3052 3751 1852 5743 4098 4114 2338 4542 5011
## [4765] 1571 5795 2214 1220 1272 1863 2855 1355 2135 1452 2767 7958
## [4777] 1347 2670 3080 2392 1702 1299 2775 1804 2196 1814 3214 1597
## [4789] 4118 1933 2810 2636 1040 2185 1514 4852 5042 6548 1564 1667
## [4801] 3221 2796 1640 3179 1484 895 2178 2432 2647 2569 1426 1867
## [4813] 5782 2996 1107 4260 7102 3773 3130 5680 1635 6228 4987 2092
## [4825] 3854 7233 3588 1622 2192 1360 2090 1791 1068 5647 4344 1101
## [4837] 1099 1273 6674 2344 1666 1618 2774 3338 1943 5665 2796 2584
## [4849] 3309 2928 2880 2020 3972 1587 3141 2444 1290 2700 3653 1569
## [4861] 1490 1204 4130 3350 2337 2063 2993 2855 1324 1673 1908 1892
## [4873] 3893 1007 2628 1683 3765 1534 1233 5607 1278 2314 1866 4126
## [4885] 2031 4436 3949 1623 3206 1620 2030 10383 1961 3407 2674 1354
## [4897] 1855 3067 3492 1670 3187 1415 2170 2910 3723 5020 1559 2776
## [4909] 1361 2980 2149 4087 1712 1786 2875 2130 3184 3315 891 1682
## [4921] 2797 8576 10192 1719 2590 2841 1571 3099 2393 5957 3286 2938
## [4933] 1168 2452 17124 2120 1372 6064 1242 2780 847 14320 1795 1816
## [4945] 2166 897 2943 4282 1610 270 489 4947 1078 2881 7349 2504
## [4957] 606 1536 397 4999 6660 2986 1917 2417 627 3890 498 1771
## [4969] 2537 2808 6717 1379 3057 2960 4620 6094 917 1835 231 1419
## [4981] 1499 3327 4670 336 6947 1200 462 3076 4755 4373 4548 2799
## [4993] 1205 3672 2541 2368 2128 1471 2280 3190 3923 3371 1279 3540
## [5005] 1451 2537 2507 670 3649 959 3287 3239 454 2484 3390 2674
## [5017] 3214 5055 2718 1582 2407 1871 1520 2190 5121 1907 6238 6332
## [5029] 336 10885 408 841 3413 2376 2855 6950 6480 3018 468 1332
## [5041] 3745 804 12405 2091 701 3306 4998 2631 8437 5429 4863 4601
## [5053] 781 1412 2246 2700 2772 1793 3748 2166 6666 3210 2943 4263
## [5065] 2490 2116 1755 873 2824 3089 4089 7433 3140 1939 4111 2578
## [5077] 2331 1531 841 1737 2588 2398 3210 2285 6381 3880 1746 4796
## [5089] 2966 2848 2288 3317 1656 547 2350 6381 2506 1110 2988 2398
## [5101] 1881 467 2379 5491 605 816 896 402 2295 2391 1774 8553
## [5113] 5405 4703 4683 3629 2888 2810 3868 2580 2012 392 3030 2171
## [5125] 1523 1503 1505 3808 1596 2434 2127 1623 2869 4060 4385 2976
## [5137] 5579 446 2254 2181 2745 1940 399 657 4006 3491 1657 5948
## [5149] 1239 1545 3273 1684 7284 5257 990 1306 381 1953 1977 1416
## [5161] 6378 1330 2565 2025 4780 3465 2018 2334 2984 1113 2710 2174
## [5173] 1394 4724 2728 2588 3196 1942 1739 1469 1993 4718 1823 5297
## [5185] 1835 1363 1308 2642 1007 2016 3359 2176 4312 2063 2712 1023
## [5197] 6525 706 643 1524 1538 570 570 570 3826 3846 3590 3578
## [5209] 5235 1645 6110 1078 1808 2142 824 2543 5533 2592 3274 2992
## [5221] 3406 906 5008 1081 2026 1961 5209 2186 960 1453 2020 2074
## [5233] 6049 2897 2223 2652 2966 1218 1572 3295 3917 2921 3084 5583
## [5245] 786 591 774 5167 2594 4048 5538 2283 1105 2932 2199 2854
## [5257] 309 4681 1075 5168 2549 2366 3484 2208 3665 2055 1127 854
## [5269] 3656 2745 4124 1814 1447 2256 6814 3136 3421 3639 4611 2343
## [5281] 8994 3175 692 1877 1763 2210 3482 5071 855 7184 3395 2841
## [5293] 4139 2782 4093 2666 2281 2186 4611 2130 2023 691 3140 4216
## [5305] 3684 1642 2607 2573 4059 1481 13506 2734 2148 649 3801 2624
## [5317] 2429 1919 1642 3378 1192 2470 682 753 4929 2360 2791 5002
## [5329] 4959 941 3413 4590 3726 6139 2600 3718 2644 930 1932 924
## [5341] 912 913 3150 1462 2381 957 954 2039 939 240 1642 3985
## [5353] 3386 2579 2451 4161 2060 1870 3550 4333 6469 1752 451 2711
## [5365] 1679 2344 3576 2720 3361 1365 4065 3049 4129 1704 1992 2279
## [5377] 4345 1817 1902 1938 1308 3212 5399 1564 1602 723 2685 2087
## [5389] 1770 2273 1625 765 1101 1758 1458 4220 258 3426 6735 1872
## [5401] 1726 3724 993 3995 13108 1405 2997 2241 4696 2783 2836 1071
## [5413] 4132 2370 4075 5962 3496 550 2088 1371 1543 3788 315 3575
## [5425] 4538 2025 2623 5161 811 741 1444 2248 336 2926 1531 255
## [5437] 1708 2732 2825 4803 2461 2368 2734 6834 3844 679 351 3948
## [5449] 1648 2742 4223 2284 2547 1686 2015 923 1014 4307 3448 1507
## [5461] 3129 1294 1187 5612 3236 3026 2408 2732 3997 2770 5089 483
## [5473] 582 2315 4653 4283 204 3140 2865 1851 3261 762 553 3747
## [5485] 1063 315 1826 3426 1611 3162 2312 2571 1312 2508 1495 1715
## [5497] 1891 894 1151 4412 367 960 5481 3596 5847 2520 3065 2037
## [5509] 6395 3997 1482 5215 2692 495 968 2133 1167 2319 1252 6963
## [5521] 1763 570 897 2979 2200 2736 2542 1832 4217 2679 4422 8576
## [5533] 2823 1845 2181 414 4380 9528 2904 3139 1378 3621 2674 1413
## [5545] 4952 3362 1914 935 1493 3079 909 3178 1128 1784 1131 1148
## [5557] 3053 909 6638 6409 2749 6111 1559 2464 3105 348 1550 1045
## [5569] 1481 2653 3884 3833 601 3094 833 3511 3174 2395 2289 14886
## [5581] 2016 1423 1645 849 4396 1570 3198 2761 2441 405 3340 2760
## [5593] 1756 4942 2495 1371 3266 3413 621 695 5314 3023 1878 1828
## [5605] 378 3766 8070 2999 1468 1798 1041 606 1351 4557 1420 1422
## [5617] 3246 7985 5772 6252 980 865 159 5384 3933 1543 1658 985
## [5629] 2253 3101 2232 1113 2511 1425 4109 3498 4228 2426 1143 612
## [5641] 2257 4360 2999 2263 1423 1045 5382 1085 3840 1538 1084 1948
## [5653] 3559 636 2985 595 629 3170 598 1000 2183 6633 4538 6042
## [5665] 723 2610 4516 3380 1982 2282 3126 3671 1119 438 10389 5205
## [5677] 2682 3729 2242 447 5860 7205 5186 2653 3559 2841 8642 5600
## [5689] 3497 4297 1690 2458 4883 3261 4912 2465 1014 2641 2489 1410
## [5701] 755 414 1143 1244 1049 2688 2191 1269 1500 3270 2402 1901
## [5713] 2127 4680 2651 2153 2278 2402 1535 822 6279 1403 2483 1026
## [5725] 375 3805 5216 3941 2030 2717 1467 1577 3896 1690 1281 1050
## [5737] 1829 8174 5308 1439 3834 3878 4384 4232 3561 2336 312 1993
## [5749] 2651 282 1168 1085 1954 2902 715 1745 1548 2036 5296 5088
## [5761] 666 297 3410 1515 2872 1316 3026 2986 4059 648 996 592
## [5773] 2962 381 2479 870 611 249 1363 942 2137 1894 1957 1236
## [5785] 411 1186 1879 1067 13869 920 963 868 1905 4144 2261 4876
## [5797] 1993 3897 1511 7548 3236 2475 2054 5321 1152 10601 5687 2830
## [5809] 1036 1798 1612 1518 1778 2357 3655 420 1968 270 4041 1518
## [5821] 4628 1265 5926 437 518 8886 1081 1545 618 2367 5829 8428
## [5833] 1406 2960 401 400 2839 2383 2682 3378 1690 2602 3602 4349
## [5845] 3777 5832 4317 831 2391 2673 1504 2044 2381 1032 4684 3426
## [5857] 453 835 1671 1997 2379 717 4833 2304 3926 1694 6036 5315
## [5869] 2135 1371 3873 2126 2120 1651 1408 940 2439 2669 3137 3522
## [5881] 3285 1907 1691 2922 2529 1516 3367 333 1281 2278 1002 1109
## [5893] 678 776 1498 1558 771 673 2526 2582 5969 2781 4747 3415
## [5905] 471 2284 1110 1149 1632 3147 4446 5809 500 2762 2577 913
## [5917] 5073 2315 2118 1866 1474 3775 2250 745 2276 2246 2204 4036
## [5929] 5444 1454 1959 2615 423 413 2242 2786 6699 4740 1323 3790
## [5941] 890 1065 1800 3235 2071 1344 796 2775 6140 553 6010 1024
## [5953] 1858 1832 4327 2023 2699 4723 2263 4745 1517 2528 2166 1571
## [5965] 1776 1281 2160 2672 3661 1123 1466 1477 3698 596 1720 1617
## [5977] 126 1952 1038 672 474 1564 3557 1179 2681 4070 1546 2818
## [5989] 2940 540 2383 4165 1993 1222 1573 1508 339 1034 6621 1439
## [6001] 1068 1371 476 855 3046 1727 8347 897 5641 1084 1726 5912
## [6013] 6888 2095 844 3550 1289 2449 1599 3411 2293 2504 3892 3410
## [6025] 1515 1870 1548 537 2774 1194 1479 1155 1041 1649 547 2325
## [6037] 2664 993 509 903 557 1642 2439 2170 2766 3664 883 1854
## [6049] 1594 1432 983 1223 4305 3918 1833 3368 1357 1605 354 1140
## [6061] 984 557 536 3944 3859 2112 3128 6733 2217 4466 2504 663
## [6073] 654 1481 2640 833 6548 3089 991 1253 709 1695 2828 948
## [6085] 2650 4686 4635 1376 1905 3070 1381 2461 2824 5272 3323 4403
## [6097] 4609 2440 3297 1563 1765 3356 3388 3935 6642 993 1804 2124
## [6109] 1731 2220 2129 2041 2062 1184 2363 1676 4171 2122 1531 3024
## [6121] 2866 2255 4952 2231 8464 1431 1189 2475 7809 431 2432 2041
## [6133] 1512 4067 3070 1065 360 3368 1987 1162 1130 2875 3494 6329
## [6145] 3616 1384 954 6496 951 900 900 722 1568 1872 2952 2185
## [6157] 3220 1772 2061 996 1871 4237 1032 15552 3913 6771 930 3721
## [6169] 2774 1647 960 963 4838 1259 2475 2343 2028 2103 2028 3165
## [6181] 3411 4087 949 1302 19271 378 5777 5593 2676 4677 1968 693
## [6193] 652 972 3292 2046 2690 1767 3604 4265 3583 1326 1680 12462
## [6205] 681 869 494 533 7239 3410 2445 1512 1415 2317 3312 1337
## [6217] 1068 4343 1979 1649 1715 3816 3573 3170 1745 2272 601 1961
## [6229] 3304 5832 3743 5607 4048 1156 4465 1884 603 841 1717 1748
## [6241] 1496 1492 483 5013 3345 2327 2492 2022 2019 1963 2129 3627
## [6253] 2368 1896 2095 2116 1157 1750 1438 901 2686 1471 3872 618
## [6265] 1562 1348 1958 2629 1395 4838 1010 3080 3639 2791 5892 2383
## [6277] 876 691 1172 3477 585 3427 2568 5814 2524 5086 2364 11135
## [6289] 2371 9041 3707 3316 4168 3733 2856 507 2002 4453 1550 1323
## [6301] 1101 1200 4825 1975 2299 1275 4443 2314 3588 1957 2008 1568
## [6313] 2089 1552 1463 1461 15285 1751 1684 3664 1936 2786 5664 4928
## [6325] 6825 6213 7210 2916 5619 2335 1923 6224 3705 2055 4092 1897
## [6337] 2216 1489 1170 1508 2208 5289 13271 3891 2320 2027 2348 2224
## [6349] 1840 2470 3480 1210 2005 5761 1530 1584 1757 1542 1570 1401
## [6361] 1353 3713 1831 1394 1489 448 7971 1209 3457 2096 1724 727
## [6373] 3332 2338 6217 1400 2464 667 1614 3237 1580 2568 3937 3658
## [6385] 1312 6058 3374 1756 1398 660 6378 1459 1689 1583 1438 2181
## [6397] 1870 3415 2311 3540 4236 2665 1865 5498 3105 3017 1321 2722
## [6409] 4567 2102 901 1164 606 683 354 9849 198 2641 2065 1563
## [6421] 3093 147 2231 5357 2629 2674 3581 1004 5267 2998 2374 2435
## [6433] 2157 1312 1944 1563 1732 910 861 910 549 549 1626 1960
## [6445] 2858 1133 2529 1738 4164 2391 2784 462 1548 1823 2612 786
## [6457] 4265 1057 2098 2070 1565 1594 2135 2865 2186 255 408 4864
## [6469] 4017 2165 1045 4241 2357 5229 3170 6362 1632 3499 970 1040
## [6481] 1012 2262 1586 2203 2463 2257 1719 1950 1179 1679 1761 612
## [6493] 1058 2254 318 4402 3743 3393 1679 2666 1225 3142 397 5118
## [6505] 2565 6286 916 8864 2650 2290 1008 3553 1672 2410 3593 940
## [6517] 968 1032 595 11114 4200 1666 3224 900 2175 1136 2700 1931
## [6529] 1125 1179 6586 3893 2707 1525 1328 1498 1848 4087 3079 5204
## [6541] 3276 2080 929 6807 1693 1201 707 3878 1104 1044 2365 4053
## [6553] 948 2561 2664 1436 2783 6192 1866 1416 4376 9085 2176 1591
## [6565] 1036 736 2090 2511 6492 2706 2893 914 1667 4581 589 5735
## [6577] 2054 3192 1008 796 3928 4627 2594 2793 11444 3971 1403 1571
## [6589] 2492 1984 3258 2164 3178 6639 907 1515 2959 964 1502 1949
## [6601] 2624 662 6117 2093 576 3428 2809 2648 3482 1602 601 1825
## [6613] 2357 5835 3023 4414 4056 1662 1112 1902 1958 5448 2302 3917
## [6625] 2143 2561 6030 2424 2000 2839 8203 1946 2519 2073 2500 5485
## [6637] 4406 6762 1134 2108 1752 1302 1570 4469 3556 1418 2908 5520
## [6649] 2042 1501 1501 2467 1344 6597 27652 735 3434 2536 2783 2411
## [6661] 2536 1052 2860 684 1173 3661 273 2772 1135 2931 3413 5412
## [6673] 1499 3035 1048 618 1330 2276 3052 1386 1286 2819 891 802
## [6685] 1910 7393 779 1179 2428 1826 446 2572 2046 1478 4723 1566
## [6697] 3224 2602 2327 5674 3374 855 2383 1707 1375 3187 4565 2769
## [6709] 1964 6609 4367 3001 3277 6674 5679 3964 3176 1391 1341 1995
## [6721] 1266 2259 2097 3097 3037 1606 3210 484 1396 4023 4348 1100
## [6733] 780 2662 3096 585 8319 4687 2533 2864 288 288 4185 1997
## [6745] 5319 676 2365 4473 5217 1848 1974 1353 3666 1525 1272 1316
## [6757] 3967 9372 1297 4006 4138 1598 4605 1730 1597 4013 5926 2053
## [6769] 2906 1835 1954 2965 1610 2324 2901 5418 2860 1649 390 1472
## [6781] 2377 2335 4315 1920 3030 3284 1292 4545 1057 4161 1160 3456
## [6793] 2166 3500 2098 2298 4915 234 1585 1708 2907 1936 2164 2233
## [6805] 4339 1729 4329 2317 2420 2271 3580 1327 1521 351 1916 1739
## [6817] 3184 2283 2709 1799 9985 3861 3181 1991 1854 7197 2344 1522
## [6829] 1774 252 4009 2369 4214 2578 2777 4015 2807 6466 4504 1412
## [6841] 5285 1482 6704 2697 2774 3266 1454 6220 800 1342 5377 1657
## [6853] 468 5121 4219 3578 5242 2982 4521 2794 1548 2596 2174 4925
## [6865] 1732 1335 2663 1852 450 4353 3588 1936 552 2623 3429 899
## [6877] 9252 2035 5918 1856 2703 3839 2261 2842 3510 1335 6322 1718
## [6889] 2289 3622 5185 3622 3978 1006 14093 4029 3052 2133 1943 1075
## [6901] 2486 1844 2695 1887 2894 2177 2256 3109 3757 668 1999 2053
## [6913] 4857 1355 1117 2151 4151 3636 1167 1649 1784 1871 3832 5555
## [6925] 3468 1627 6888 1083 1771 930 4445 3844 5087 3920 1299 2725
## [6937] 2486 1530 2493 2116 3223 1838 876 1893 2779 2372 1952 1572
## [6949] 2592 900 252 3082 1991 3985 1419 5520 4493 2126 3911 2763
## [6961] 1801 2933 1333 1987 2040 3810 2933 4582 4021 1622 3814 8077
## [6973] 1566 1317 1769 873 647 4805 5105 1005 2121 6016 7619 991
## [6985] 1708 4872 1921 1796 7594 7870 1650 4888 3309 3558 5703 1728
## [6997] 5147 4820 2808 3093 3540 3213 2825 841 4025 1900 5003 2363
## [7009] 5882 3774 3446 869 2838 207 5708 1504 1339 786 2727 2757
## [7021] 3905 3923 2618 2165 2265 1173 2605 1768 1996 2313 2643 1204
## [7033] 1289 1809 4880 757 742 300 6861 2272 1027 11705 4467 4326
## [7045] 1101 8565 2215 2936 648 1925 2515 6479 2138 138 4450 1964
## [7057] 2365 3064 3124 4015 468 2104 1230 1782 4457 3077 5227 1271
## [7069] 2183 2036 3660 5297 3344 4244 3489 2322 4494 1740 1196 1053
## [7081] 4801 2772 2413 3916 2362 7405 6304 615 2616 7597 10110 1986
## [7093] 1868 1703 2409 3162 1203 1188 2826 8615 3449 3606 3384 886
## [7105] 1354 2567 1344 2965 2791 3441 3073 888 1584 2175 5730 165
## [7117] 2108 2584 1469 1315 2089 1415 2698 1779 1482 1169 2898 2950
## [7129] 2919 2981 6071 3530 7650 237 3687 2094 2665 1073 5412 1479
## [7141] 1161 3670 1517 3174 578 1567 3948 1895 4754 1601 1733 2043
## [7153] 3600 2797 2890 6160 864 2373 11423 3568 2164 3105 2499 1047
## [7165] 2429 1157 5495 1920 707 3595 1429 4795 1176 2166 7263 3572
## [7177] 6401 1412 2440 5354 1708 2072 1665 539 6642 2999 1279 1293
## [7189] 11376 2980 1628 5173 2790 813 3549 531 2933 2712 845 5537
## [7201] 3701 2694 2306 2132 1626 1843 1374 1316 2941 1718 2470 6050
## [7213] 2755 4315 2216 2777 1937 1545 1845 539 7968 4197 1822 2109
## [7225] 2742 1178 1237 1341 1643 579 3254 1971 3155 1662 5360 3888
## [7237] 3237 3870 2307 2333 5990 2449 1895 2203 4585 2613 5165 5428
## [7249] 3550 2494 4512 5864 4254 6214 4323 1846 5747 2722 631 1031
## [7261] 1511 4367 1802 3149 408 1543 1233 1698 5801 6635 2562 4107
## [7273] 2549 7468 2525 4008 3857 4079 4621 2054 1843 8190 2865 3634
## [7285] 1323 5192 4654 3279 3585 10363 2027 3049 1193 2679 3952 2637
## [7297] 1946 1399 1632 5921 4394 3041 2421 2186 1954 3295 2320 2973
## [7309] 3121 2090 1598 2950 3236 4193 4783 1821 696 1761 2026 1677
## [7321] 3288 3163 3745 450 2610 582 963 1041 3331 872 5703 2332
## [7333] 2974 1066 1832 4263 1349 1582 2976 3715 2439 2746 4598 2604
## [7345] 5185 5077 1173 1114 4857 3283 3496 3548 2207 5211 1476 2508
## [7357] 4541 2912 708 1632 1490 2291 3675 4002 3617 2451 1964 3573
## [7369] 1076 3246 888 3241 2717 1855 551 1656 2617 4145 4184 2942
## [7381] 1257 3950 568 2489 1441 1823 2527 1739 2882 2370 1568 4703
## [7393] 4488 6532 1702 2121 1119 2980 4525 2700 1019 3853 1812 3989
## [7405] 2991 2269 6868 5528 2533 1596 1014 1354 1644 3642 3547 1914
## [7417] 3630 1081 4273 1836 2145 4341 2543 6880 2835 1644 1631 4611
## [7429] 5112 6620 2357 2168 2427 1079 3245 7762 4335 1599 3817 2424
## [7441] 3717 2099 1832 3566 1887 5613 5163 2484 2920 3856 902 3043
## [7453] 2577 3933 2427 837 4148 3938 4143 11740 1530 6924 1499 1059
## [7465] 7931 5272 2526 2208 1728 1741 3170 7191 4727 7997 2227 2067
## [7477] 3516 2102 2993 2375 2349 2258 1008 3749 3713 502 4258 3507
## [7489] 2682 4206 4207 2901 6918 1434 1725 4126 3781 4257 1837 2278
## [7501] 5493 2770 4942 2156 5120 3230 1853 3161 5804 2415 2320 9460
## [7513] 2335 3998 4309 1515 3626 1331 5566 2536 3186 2739 4181 2163
## [7525] 3814 2022 1347 612 4481 8125 3059 1844 2108 2022 4103 3168
## [7537] 3715 2816 5211 1791 6605 2650 2019 4158 2654 5915 2397 1153
## [7549] 1952 1751 1125 1410 2282 2101 3926 4432 2997 2143 4569 369
## [7561] 2112 1866 3643 4815 2366 3826 480 1845 1802 4484 2334 5455
## [7573] 857 5495 2328 3928 7766 1505 1547 3281 2499 1329 4879 2999
## [7585] 2749 2321 1783 1458 5089 1562 1364 833 1137 3178 4563 3567
## [7597] 1009 1853 4038 1178 1931 6355 3228 2728 3741 3535 3131 5401
## [7609] 2089 2589 3372 2382 4605 2273 2789 1629 3929 4190 3496 1679
## [7621] 1180 1813 477 2693 1188 1364 1009 4896 4563 1644 4060 2620
## [7633] 1555 1230 6326 1804 2966 2462 3082 4022 360 1881 1635 3278
## [7645] 1035 1757 527 3707 5138 2769 1793 5970 2741 2077 6336 3753
## [7657] 765 969 957 1641 2664 5193 3885 2116 3572 6223 2752 1723
## [7669] 4717 3814 3262 1652 2660 2729 2244 4458 2969 2320 1079 3022
## [7681] 3346 998 1692 888 4086 5786 2186 983 3094 1646 1317 4799
## [7693] 1416 3059 756 936 1214 455 1547 1140 2498 3240 2212 3034
## [7705] 2168 2369 985 2676 2283 3327 2228 2976 3008 4284 2018 4563
## [7717] 8423 878 1233 570 2220 2442 2481 923 1532 2108 2222 1592
## [7729] 3022 652 2957 2851 5359 830 2169 2493 4146 1710 2656 5856
## [7741] 1637 2643 2045 1513 4016 1801 2553 1550 921 2920 2094 2720
## [7753] 2731 1288 1765 1820 393 6802 5056 5409 1594 3465 2765 2187
## [7765] 1490 2617 1900 506 1919 2948 1150 1828 3458 4518 2474 2580
## [7777] 617 3952 1137 1409 1236 3822 3377 3187 861 6932 3064 1356
## [7789] 3005 2636 921 1687 1661 2742 1399 2248 2504 2209 539 4766
## [7801] 3003 2012 3629 1505 1752 2939 4070 921 4676 1668 429 1179
## [7813] 1163 5627 6470 4200 984 1830 7193 4339 1867 4068 3190 1592
## [7825] 3630 7134 1594 4808 1601 2968 4203 2142 2198 2289 1133 1413
## [7837] 2296 1291 3692 5699 3777 2165 5510 6013 1037 6842 2108 2189
## [7849] 4540 1119 1956 1647 2178 1248 5089 3018 2516 2601 1393 2870
## [7861] 4380 5571 3218 2433 1746 6177 578 2709 3267 1353 1399 2848
## [7873] 2363 3408 1675 2877 3022 5787 6510 2253 1455 3610 2734 4624
## [7885] 6707 1754 4408 2347 512 3992 2775 3090 3134 1814 4422 2872
## [7897] 4538 2760 3866 3360 5677 2458 2845 2992 4902 6104 881 1472
## [7909] 11734 4108 713 3214 3486 1641 4798 1295 3408 1496 2052 2820
## [7921] 5555 1681 2285 3919 1259 2384 1576 5359 8093 918 2020 1953
## [7933] 4342 3303 3258 1393 2976 4382 1938 5122 897 2256 2680 2162
## [7945] 3144 2740 4662 2299 3603 3943 1924 1092 1625 5119 1752 2475
## [7957] 2822 1835 2830 1917 6807 3650 4052 819 1131 3034 1854 4910
## [7969] 2898 9377 2470 1855 3864 2616 6403 1938 483 3575 7985 925
## [7981] 2151 5632 1498 2118 5183 3430 567 1220 183 2001 1111 4163
## [7993] 2361 3730 557 8497 4079 5734 4913 1935 138 3143 2530 2761
## [8005] 2812 3085 2448 771 1643 3910 1534 447 2699 2969 1873 6926
## [8017] 2328 4169 1819 5049 1901 2052 2275 1766 7021 3429 2939 2366
## [8029] 4736 871 1294 423 3231 1945 4235 7071 2141 1964 4786 2499
## [8041] 939 2279 4414 2533 2211 5065 2660 1418 4571 4493 4894 3761
## [8053] 3472 3946 3341 3332 2852 1747 2200 3328 3485 4236 5287 2534
## [8065] 629 6774 3700 9767 2035 2468 3955 4967 4234 2479 3421 1080
## [8077] 2353 2654 2200 4334 5554 15213 4748 2037 4461 3799 1918 291
## [8089] 7556 1442 1664 7995 5338 2228 1436 1499 3829 1661 3068 1983
## [8101] 4682 2541 4734 1595 4393 3240 3392 10154 5641 4289 3476 681
## [8113] 5859 3164 396 1724 2997 725 1558 5974 1918 6307 3484 1943
## [8125] 2931 3125 4840 2967 2110 4040 3363 6123 2203 1818 2757 3293
## [8137] 3318 1276 3187 1782 3124 2072 1304 958 3169 2465 3936 402
## [8149] 3763 5296 5060 4206 396 1224 707 4022 1990 2435 1061 2992
## [8161] 1416 3118 2880 402 2818 2967 4970 1767 2530 465 2135 3604
## [8173] 1121 2465 2326 3687 2055 2763 3083 810 1240 2324 1434 5525
## [8185] 3151 3136 2958 183 6360 4183 3303 4574 1507 4630 2393 1786
## [8197] 1926 1870 1126 1932 1971 1505 592 1374 5030 952 4021 3105
## [8209] 10984 2069 1967 3364 2770 2663 2645 2328 1172 4190 2837 3895
## [8221] 2264 2062 255 1607 2086 1191 4840 4179 1154 4850 2550 2742
## [8233] 2433 1078 2732 2101 3607 8382 666 4703 1377 2421 5301 1512
## [8245] 1477 3643 2059 4291 3391 1857 2329 1392 1577 910 4726 2440
## [8257] 4757 5575 1115 3309 3082 3110 1682 2892 2406 1723 2834 3311
## [8269] 1164 2816 3297 2919 2244 1750 1257 2538 1742 2649 1806 4465
## [8281] 2736 2116 1886 2884 1733 2579 2420 5986 4569 2684 2063 4784
## [8293] 2514 4567 2749 1720 6142 1687 2343 3852 2397 2118 2391 739
## [8305] 774 4461 5035 4596 5207 1097 1928 2917 1405 1336 884 3645
## [8317] 5429 1824 1188 6157 1811 3257 3175 2373 1674 4976 4045 1786
## [8329] 5376 1816 2482 4549 2601 3448 2477 2950 3177 4236 2117 4294
## [8341] 2255 1297 1618 4565 1986 1948 4425 1749 4670 3234 2412 6579
## [8353] 2793 2133 1935 3082 3234 1152 4493 4180 7177 5206 3562 2012
## [8365] 1293 1381 1291 3716 2290 2248 2271 4649 3025 2760 4672 2004
## [8377] 171 4064 2307 2676 1018 3219 2733 5168 2586 4453 2514 2212
## [8389] 2004 11881 1313 2185 5687 2305 3333 5510 651 1161 1881 2318
## [8401] 1060 3646 1377 2685 4344 3674 6242 3907 2283 2390 1534 2497
## [8413] 1528 3026 1107 812 4561 1650 3687 2233 2345 3185 1959 2222
## [8425] 7949 576 1634 4232 3142 6009 4831 3595 4183 5305 5685 1737
## [8437] 2012 1729 1890 3194 3766 3193 2796 1976 2170 2312 3448 1038
## [8449] 3019 1396 4863 4172 1531 1426 1766 9166 1431 819 2696 4304
## [8461] 5718 5262 1558 6524 949 3513 2030 2913 2400 2963 1683 1529
## [8473] 2464 2733 4265 957 3766 5779 1944 2305 2983 4649 4157 3494
## [8485] 4949 2158 3865 4659 2467 1918 3225 2273 522 3629 4491 933
## [8497] 1283 3253 2621 3795 1861 4215 4222 3927 3422 1668 1684 2039
## [8509] 892 3780 1764 1584 6405 3452 3405 1529 2002 3569 3673 3158
## [8521] 2384 1702 1061 4830 2626 4720 2233 2962 3196 480 3086 5058
## [8533] 1681 2733 1890 2601 1458 3752 3878 4479 2205 776 1157 540
## [8545] 3210 2040 2644 1385 8301 1299 1531 5198 1423 2363 883 1373
## [8557] 2627 4710 3390 3794 2888 1253 661 1272 2442 2051 4295 1521
## [8569] 1151 3321 1763 5659 1853 4418 7385 4165 6089 821 3428 4716
## [8581] 1705 6221 2605 1489 3432 7678 10646 3913 1030 816 2048 1840
## [8593] 4943 1630 1584 2157 713 3702 3932 2723 2669 4171 390 3801
## [8605] 1417 1268 1107 1399 9361 2968 3710 708 3279 822 1071 3042
## [8617] 1347 1464 4566 817 609 459 1446 1125 1150 988 960 1853
## [8629] 4612 2219 8026 2499 2115 8716 919 3186 3474 3845 3945 3029
## [8641] 2364 1915 1937 4859 1655 2533 609 2798 617 2934 5692 1054
## [8653] 2133 1687 3333 4328 1045 1429 1898 4278 897 3766 13701 913
## [8665] 3482 2786 2022 4511 1926 2200 2048 705 2787 7692 2045 2799
## [8677] 2147 1096 1907 2049 1185 1490 2422 2354 6588 693 4268 3231
## [8689] 1536 968 2431 2242 1505 1409 10534 5164 2574 2410 2696 1294
## [8701] 2200 1915 1617 5724 788 1967 3345 2793 1724 2820 1242 1249
## [8713] 1222 552 2671 1734 2572 1702 659 5100 2395 2744 1112 1694
## [8725] 2408 1981 5827 1295 613 1337 2181 2186 2118 5393 2243 927
## [8737] 1272 1852 2106 962 2377 6735 4570 2426 3807 2902 18200 5100
## [8749] 814 2515 2997 3064 3110 2084 1857 5378 2398 5091 7077 4355
## [8761] 4210 3921 1702 3548 3598 3759 807 3555 1762 1721 2371 2913
## [8773] 213 5261 1290 4858 6626 2426 882 1879 3127 3342 3221 3531
## [8785] 3208 4199 2147 2007 4413 3566 1878 1801 1348 2619 2560 4538
## [8797] 5817 639 1902 2967 1572 1151 407 420 2090 5145 1006 3344
## [8809] 438 3871 2424 1224 1747 1774 2261 3045 1686 5347 1255 1611
## [8821] 1082 4506 2587 3717 3636 1491 2480 4449 3252 2127 13252 4666
## [8833] 6820 1522 2403 1474 2906 3944 2043 2917 1885 2024 621 5857
## [8845] 1079 8019 2372 1616 3374 3804 3861 2218 1540 3791 1109 1605
## [8857] 1461 2649 2430 5044 7398 3765 2434 2345 1905 1994 2326 2366
## [8869] 327 3014 2032 1912 1028 2664 5521 1133 7513 1296 541 3092
## [8881] 3420 835 8886 3427 1088 1444 3180 1463 1623 4028 3204 7172
## [8893] 1660 1960 821 957 2184 4139 3365 2538 1569 6783 3713 3059
## [8905] 3649 2260 2043 1346 1763 1947 3282 369 2299 768 1587 1352
## [8917] 3463 2049 1264 1035 3989 3797 756 5705 5724 2061 1900 4643
## [8929] 5096 4193 7848 3445 2467 5765 2494 1822 2824 2347 3513 2087
## [8941] 3537 3551 2325 2109 2555 1757 8010 2706 1125 4659 369 5404
## [8953] 1285 2361 9096 2148 4490 4660 2034 5620 1357 4607 3205 1977
## [8965] 3250 2046 5189 1255 3786 2338 2614 2637 980 4446 3600 1822
## [8977] 7710 4684 4921 2482 1462 3084 3917 2536 2901 2558 3182 1999
## [8989] 3618 2201 7696 4734 2963 4416 4157 521 5057 4474 2842 1754
## [9001] 2118 2101 3276 5267 1288 1209 5066 2205 3919 2828 2551 3070
## [9013] 7074 5473 2569 1347 1734 3336 4545 3320 1333 4416 4278 1782
## [9025] 1950 156 2347 7700 2159 3125 4189 4171 4290 2054 462 1839
## [9037] 2236 6049 2102 2146 1921 1483 5493 1080 2069 2265 4370 1019
## [9049] 2658 960 6664 2598 5242 2881 1552 3410 3298 4635 2177 3658
## [9061] 1505 390 3115 7598 4942 6550 636 1652 729 1134 1994 1391
## [9073] 1972 1516 1778 3691 5065 1543 1298 3307 4080 2262 2602 12533
## [9085] 2664 3334 2250 1676 2132 4154 6992 1903 870 1747 894 2823
## [9097] 3007 3440 2905 1666 1036 524 4611 1936 2809 3675 2199 8053
## [9109] 1925 2309 1594 4163 2823 2955 477 869 6435 1751 4428 1948
## [9121] 2469 2367 5767 1837 4363 3885 1256 5813 3939 10819 1936 3746
## [9133] 877 3756 2169 2630 573 5813 1433 2359 7524 3785 2024 6519
## [9145] 1969 1077 1146 5683 1193 591 1291 3362 2376 2182 1974 4376
## [9157] 545 2506 1709 2916 2833 2233 2281 786 1930 1525 3827 7805
## [9169] 1517 1624 4751 1460 2195 2312 1659 2994 2627 3164 4510 1548
## [9181] 1512 1929 6981 6450 3599 437 1382 2851 3620 631 4570 1766
## [9193] 3633 4153 2771 2395 2292 2255 270 4597 6251 790 3831 2442
## [9205] 1928 2467 5115 2111 654 6697 1646 1784 2047 2271 2362 902
## [9217] 5791 2422 4269 1531 1976 2065 4705 1811 2055 498 2937 2641
## [9229] 1628 1775 2390 3493 921 1038 1029 822 138 1020 2367 1505
## [9241] 6031 5376 1385 722 4589 5395 1920 2119 6993 1582 2572 5624
## [9253] 1648 3158 4377 2094 6875 4402 2312 2052 4229 2631 501 5599
## [9265] 1157 2485 2367 939 1514 2575 2800 1303 1317 979 1974 2635
## [9277] 2116 2047 2968 5389 3921 2956 2512 4339 3615 3382 3021 8713
## [9289] 3464 2979 993 1753 1680 3598 3363 2633 2455 3606 1820 5688
## [9301] 7445 432 2645 5154 1568 3290 4052 3331 4634 3915 5149 1151
## [9313] 1904 2886 4513 1713 4371 2501 1926 2212 2306 2268 1094 3410
## [9325] 471 5517 6137 1258 2677 3971 2293 1086 2007 8499 642 1235
## [9337] 1451 2788 4794 1588 3715 1893 1170 2075 3856 4860 4751 6621
## [9349] 4437 3083 2303 1008 2004 2503 3159 2439 1071 1095 1643 1235
## [9361] 1818 4900 1090 2000 2171 3872 3042 3586 2006 1953 2071 1758
## [9373] 1779 1766 1408 3223 7549 1605 2994 2309 1554 2251 6181 3020
## [9385] 2104 7742 2021 2177 3503 5428 987 1414 2761 1830 706 3564
## [9397] 1508 2210 2087 832 5263 1158 2379 2494 2122 3714 4040 2371
## [9409] 3111 582 2711 2041 965 711 1020 2925 1527 1614 1111 1111
## [9421] 2208 4831 2176 1854 3600 2642 3716 2499 804 1979 570 6320
## [9433] 570 3854 876 1160 2319 3183 1145 2790 1620 4244 1696 1212
## [9445] 1679 2252 8221 1618 2383 1558 2705 2819 2454 918 8262 1516
## [9457] 1713 1248 5405 180 3070 2635 1748 4187 3947 963 3149 4744
## [9469] 3101 2185 2968 1949 1037 829 2313 4380 2358 890 2380 4618
## [9481] 2336 1282 2970 3713 1985 3701 1877 836 3151 4442 4805 811
## [9493] 1359 3372 516 6941 1847 9297 7200 2073 3331 4582 922 754
## [9505] 1131 2670 2381 2635 474 3751 1234 786 5881 4405 6020 3370
## [9517] 1850 2131 5322 2043 1426 5597 4362 597 3807 354 672 3035
## [9529] 1974 3344 2612 2400 4437 3009 4494 4322 2765 1293 3759 3375
## [9541] 612 12493 1754 3224 762 2785 2113 2748 834 837 1900 920
## [9553] 3266 5336 4362 4056 5823 5047 736 2495 1459 2174 2267 4670
## [9565] 321 4054 795 614 1948 2729 424 3532 2623 3448 2420 1225
## [9577] 3184 3961 1267 5952 2054 1828 945 2818 2495 5122 1666 2760
## [9589] 3632 1101 2510 1987 4636 2519 2306 8041 2202 3397 3147 3254
## [9601] 840 9542 2509 4985 2596 1099 1886 4383 9723 2868 243 2951
## [9613] 444 1407 1067 2268 1501 2871 3258 4556 1108 165 456 3530
## [9625] 2177 3884 2192 3060 1162 4195 3169 1462 717 2819 2922 1951
## [9637] 1630 1638 5891 1109 3567 3719 1441 2089 3013 2007 1672 1821
## [9649] 3508 2613 2214 3924 2409 1556 4785 1731 1888 297 541 321
## [9661] 306 626 5870 718 1656 1956 4567 1939 513 619 3657 450
## [9673] 1352 3250 3776 2475 745 2306 997 1093 2489 4071 2089 1980
## [9685] 557 1815 2510 2469 1321 2424 1869 1766 2343 4909 1024 717
## [9697] 1422 1821 4346 3782 1239 2679 3638 2088 2717 6237 3740 1677
## [9709] 270 1442 960 933 7021 1663 603 1009 2137 3577 1332 4115
## [9721] 3502 3062 3046 919 2177 874 4073 2019 6236 5172 4343 2552
## [9733] 4294 1669 706 1573 3570 3650 3608 4705 1233 2079 1992 2563
## [9745] 2185 2801 3323 2345 2134 3730 5064 1631 1049 1973 1814 6745
## [9757] 1657 4730 3289 1049 3741 431 1151 504 921 1757 489 8931
## [9769] 5722 5583 4002 3790 1562 3890 4548 2192 9645 1881 5488 3128
## [9781] 1952 3318 4009 774 5335 2090 8392 1761 2571 2195 1518 1965
## [9793] 3582 588 3174 3137 5729 14771 1795 2794 2568 7101 3364 3262
## [9805] 2005 3043 6504 2331 4389 1139 2456 4560 2170 10342 3309 2863
## [9817] 1808 3036 3669 2376 1416 1636 1173 2131 2152 576 5128 2082
## [9829] 1058 676 2950 2930 2081 4385 177 5568 1542 2816 2736 1815
## [9841] 6482 1792 5927 3877 2226 1316 1607 5020 4769 1727 2550 1502
## [9853] 5401 3898 1413 3999 1496 4599 4156 3098 4093 5756 495 1374
## [9865] 2715 2411 2481 3086 2044 1083 4109 1696 4290 5737 5711 3532
## [9877] 1484 2749 2207 6371 2951 3804 1303 2047 3259 3031 855 783
## [9889] 7282 1633 1711 2925 2671 2770 14789 2430 4346 1727 2306 1334
## [9901] 2949 1700 3213 18021 2278 2219 2567 3002 5449 2447 1405 1464
## [9913] 963 3905 2368 5560 1169 2306 6831 3383 2443 730 1538 7337
## [9925] 1009 747 4089 2571 5083 1771 885 2001 690 1660 3808 3525
## [9937] 2808 3024 3760 1092 5744 2366 4457 2899 1945 1107 4954 1345
## [9949] 1068 4576 813 4752 4774 2757 6315 892 2520 2900 1813 2145
## [9961] 4674 1529 2068 3047 3261 2440 4213 1696 3023 2828 2772 5233
## [9973] 2205 3075 2337 1591 975 2834 2054 1792 1065 2199 2454 2104
## [9985] 4045 2528 4870 6945 2977 3176 3363 3149 7872 5643 2753 3750
## [9997] 1542 2032 6404 932 2505 4040 3086 1430 2504 2468 2450 4795
## [10009] 4551 1245 1338 4226 1579 3865 2002 3842 1102 4919 3914 3900
## [10021] 3484 2536 1774 3509 1725 10299 6622 5983 2514 4691 2874 2096
## [10033] 1008 1718 2143 3164 1753 5096 3719 3224 2345 2551 3073 4076
## [10045] 1439 465 3321 1865 2024 885 1388 3452 738 1609 3239 3064
## [10057] 3242 1028 2184 3372 6308 4305 1456 2703 979 363 3850 1611
## [10069] 2895 8070 1337 3416 10695 8475 3561 2936 939 3492 3437 2185
## [10081] 5628 2468 9088 1897 4561 954 1318 2760 2267 2791 4677 1878
## [10093] 6042 5464 1560 273 973 3944 5222 1364 1411 1825 1011 2659
## [10105] 878 2872 709 776 1705 1351 2360 4145 3172 2136 1810 3814
## [10117] 711 345 363 1899 1188 6219 2689 3267 2949 1279 860 3157
## [10129] 1897 3609 1500 2538 3116 2274 5670 4002 2384 6425 2814 4395
## [10141] 276 150 3735 3394 3101 1623 2814 3919 3754 5916 3405 2420
## [10153] 2562 6714 2142 1910 3596 2191 2527 1821 3864 6256 3366 1105
## [10165] 2032 2200 3932 336 2333 3683 2243 525 2171 2757 2408 1231
## [10177] 3899 3997 4086 1487 4823 4262 4350 1600 4176 1106 423 2941
## [10189] 3781 1083 4375 4383 4354 1436 1990 2849 3893 8770 5370 2065
## [10201] 2345 6089 5296 6333 5928 3162 1935 1092 3784 4596 5727 1421
## [10213] 4071 2661 2925 2932 20409 2529 2686 4404 6774 5157 1831 4180
## [10225] 5010 2586 2464 7514 818 1912 2903 2310 3596 3178 204 2602
## [10237] 997 2800 4435 1972 590 3628 1806 1659 2470 1481 5390 2540
## [10249] 3690 3397 3378 2952 3728 1080 1693 1158 5120 1089 4649 5501
## [10261] 2222 4508 1714 3620 1011 2941 5383 3186 3094 1409 4153 2948
## [10273] 768 3871 2556 2311 7854 2415 3370 5219 2304 3862 4472 2030
## [10285] 2282 2926 2890 3073 1781 893 3636 3511 2923 2525 5284 3822
## [10297] 705 2560 977 2905 4705 4107 5610 2248 3174 6139 938 2590
## [10309] 2428 3372 3530 936 2464 3221 3026 3256 387 3121 3891 1495
## [10321] 3361 3984 2177 5216 3268 2895 2185 1383 2001 4682 2199 2471
## [10333] 694 3355 2658 1350 1667 1717 2207 3426 4069 2522 3240 2700
## [10345] 1552 5196 6230 3034 1313 710 4806 1690 4544 99631 1832 2910
## [10357] 2416 609 3650 2935 4554 1770 5507 1848 3851 7111 2165 1896
## [10369] 3939 1044 3260 3625 7353 2159 2561 1205 1860 1580 1867 2221
## [10381] 2538 3249 5888 2592 1853 741 3040 1391 1777 3367 1701 13694
## [10393] 3979 3628 2040 3897 2820 1276 1778 6816 2191 2947 8090 1245
## [10405] 3691 1928 2304 2160 2007 2098 2459 6310 2082 6109 930 2462
## [10417] 5821 1032 4172 366 1900 2513 3417 1540 7333 1524 2750 3852
## [10429] 1202 900 1710 2971 1901 1818 1514 5641 675 1804 1801 5453
## [10441] 4121 3399 2308 687 2229 1440 2179 3669 2558 613 2834 3868
## [10453] 1509 4755 5587 3699 937 1406 2507 2300 504 5024 1339 2478
## [10465] 3664 3469 2888 3676 3868 3616 4759 5882 3144 1665 868 456
## [10477] 1573 729 4560 1512 3005 2376 8287 1505 5937 7002 1636 2487
## [10489] 2215 1888 4250 1826 351 3502 1348 4896 1514 1194 333 2706
## [10501] 2117 2890 2678 1614 2635 3895 409 3580 8415 3935 2924 4570
## [10513] 3208 1450 1206 894 3698 1128 1883 3809 1226 526 4657 1327
## [10525] 545 1463 192 2691 1125 2286 5657 4914 6804 870 4468 12970
## [10537] 4840 1594 1249 2419 2358 1619 2132 2497 1915 2429 2003 4607
## [10549] 5486 3850 6857 1824 2912 3501 3621 4350 2777 1187 2132 2482
## [10561] 906 2858 1276 1962 2874 1583 1163 819 1788 5038 3906 1763
## [10573] 1606 1411 7192 1858 4813 1998 3659 3556 2644 3676 5535 1512
## [10585] 2904 4668 5969 3957 4153 2191 3634 6378 2485 2919 3099 3669
## [10597] 1835 3048 1298 2563 1417 2564 2797 1353 2343 6216 3321 2707
## [10609] 2043 7504 2894 5601 3683 1420 1294 4240 2482 2256 7609 1385
## [10621] 1602 4516 3305 435 2561 5350 790 5138 3402 3062 2490 1687
## [10633] 2709 1704 2642 558 5702 1920 2072 1398 5665 3511 1414 2363
## [10645] 1253 468 3540 856 2524 3987 2194 1888 1764 3740 1021 1688
## [10657] 2803 1750 3521 4515 2740 1913 1421 3754 2412 2228 681 4411
## [10669] 4948 2689 4796 5990 3491 639 4584 2899 1772 4270 2024 4040
## [10681] 3161 2366 4403 3089 3014 5284 2632 4039 4197 2118 3780 5988
## [10693] 811 2115 348 2583 1034 908 4171 1949 2162 1322 2483 3756
## [10705] 1919 3044 5055 4645 2252 2066 4042 1191 876 2087 1285 12351
## [10717] 1137 382 1326 1396 2031 1323 570 5357 3557 1291 2916 3441
## [10729] 2946 1733 2007 2278 5221 2046 4054 735 2592 9001 5495 1820
## [10741] 3026 3177 3326 693 1847 831 2054 1984 1150 3792 1806 2716
## [10753] 2329 1362 2261 3548 645 1176 1189 3520 870 2659 1949 2551
## [10765] 4330 3730 2039 2349 591 473 3375 1929 1069 1829 3695 1464
## [10777] 5546 4350 6376 767 6352 1569 1663 2344 1427 7039 3988 963
## [10789] 3119 1744 1935 1144 2240 3564 8439 2823 4410 2837 3877 5395
## [10801] 1817 381 1353 805 1182 800 644 2476 2988 1742 1211 3800
## [10813] 1459 6215 2380 711 1209 970 966 1520 4232 2278 1942 3885
## [10825] 4988 5970 873 2082 2992 2213 2716 309 3584 2263 2068 1644
## [10837] 1313 3977 1710 926 3123 2709 2047 7086 3246 3160 6747 1599
## [10849] 5649 607 5250 3453 1547 2312 3030 228 1173 1798 3586 1787
## [10861] 3379 1811 2430 3320 3029 4195 956 3127 5765 1805 946 2266
## [10873] 2403 1003 2041 1661 761 4110 4494 588 4381 4870 3448 6074
## [10885] 2268 5250 2137 3944 3878 926 1605 3686 2447 2105 2755 3083
## [10897] 3742 886 966 4578 2085 2162 2036 1404 2017 1866 4578 1920
## [10909] 4314 2672 2380 2936 2657 5875 1804 2907 689 4680 5332 4214
## [10921] 2010 3476 667 604 490 2437 2492 1427 3644 2058 2135 2129
## [10933] 4976 2518 898 1114 1898 2459 7373 2769 657 2968 3632 6961
## [10945] 4713 3259 891 3223 2200 2094 774 2520 2875 889 354 3629
## [10957] 1949 1246 4208 4812 6113 2216 2968 10718 5942 1087 2677 974
## [10969] 1518 4933 2794 2487 2217 1057 780 779 2540 2465 2123 2451
## [10981] 2115 2461 2280 2360 459 2547 4281 1141 3376 8671 3079 1944
## [10993] 546 3344 2094 1084 4662 1384 1887 6067 3934 1959 2855 1001
## [11005] 3478 1448 2987 839 823 2619 2069 2801 2124 2192 3477 3168
## [11017] 3744 6612 4176 3223 2448 2601 2722 2213 3401 1619 3189 2117
## [11029] 1064 6952 3181 3655 7960 843 2895 3506 880 930 426 1962
## [11041] 1462 1947 2719 2531 462 2792 1215 3097 2768 2080 4344 3523
## [11053] 3065 1735 2044 2179 442 1741 1150 944 4465 1420 4179 3766
## [11065] 5323 4660 1323 5374 2273 1180 2638 2043 1751 1044 1357 2891
## [11077] 837 667 5717 2751 2204 2744 318 4798 518 1526 3969 2123
## [11089] 3383 924 1787 1327 2191 5146 1930 2547 1581 2215 2320 1926
## [11101] 813 1750 4156 1825 603 762 2812 1455 2281 6121 2680 2424
## [11113] 4268 1838 2518 3437 2213 1951 2708 3049 2263 1225 890 1503
## [11125] 1399 2056 2005 1863 577 2606 511 4225 3150 2404 2204 2755
## [11137] 727 1605 2211 2139 2564 821 6643 3071 3424 642 10624 1368
## [11149] 3080 1490 1002 6334 1932 3396 2404 2681 1865 900 591 2610
## [11161] 2945 2677 980 5266 2152 822 2240 828 1661 1908 1333 2261
## [11173] 2204 2713 1383 514 1374 1374 1679 2895 4288 1934 2125 1368
## [11185] 2204 3162 984 1095 1920 1543 1459 1146 1608 4238 4326 1542
## [11197] 1986 1950 2434 877 762 2069 7720 8778 3113 2479 2973 1531
## [11209] 2268 886 1288 1322 3208 1809 2016 2289 1793 2189 694 2783
## [11221] 2058 3047 1364 3118 5117 2931 2136 1591 894 5001 2810 1367
## [11233] 1571 1614 6401 2636 1089 679 3082 2005 2391 2345 1777 1369
## [11245] 4190 6016 3368 2834 2435 1978 5812 1960 1740 4274 2102 4766
## [11257] 4359 894 1181 864 2320 2246 945 3070 1241 5181 1947 2812
## [11269] 1818 1722 2413 2223 5073 1624 2097 2308 5294 1363 2926 5568
## [11281] 842 2582 2045 2178 2111 3475 2288 2313 4501 2177 2812 1971
## [11293] 582 2011 2971 2105 7793 624 3034 3577 2322 1941 2235 2774
## [11305] 1582 2380 2371 1798 3231 4703 1101 1861 3057 3261 3021 483
## [11317] 3659 2311 5445 2407 4340 2668 2884 2789 277 5909 7455 3098
## [11329] 3980 5851 1782 3043 3511 2455 3557 1903 4455 3844 2594 1151
## [11341] 663 3029 2288 3205 2467 3651 3025 5020 2743 3159 1989 2306
## [11353] 4427 1331 1576 3544 1369 1989 2299 1928 4240 3189 3418 3673
## [11365] 2335 5492 1309 1244 3411 1682 1788 372 186 2058 2571 2226
## [11377] 1775 5064 2048 3141 438 1929 2148 1442 1272 1258 2006 813
## [11389] 3589 1552 1975 1173 4266 1635 480 3404 747 883 3728 2086
## [11401] 4024 1723 4202 1745 3112 2636 396 2679 3014 508 1810 729
## [11413] 3197 4268 1503 2288 1784 1531 2586 2890 2502 2292 504 2035
## [11425] 1437 1372 1588 2196 480 2446 5627 1590 1851 2067 3784 5134
## [11437] 1839 1199 1048 1410 2871 4292 1509 2154 2936 2603 1214 4299
## [11449] 2261 3610 1033 1699 1200 3514 3408 6505 3169 321 4912 843
## [11461] 3190 2990 1380 1652 1673 5107 2455 4100 1721 1813 2334 4516
## [11473] 1158 2419 2002 1267 1324 2750 2452 2950 534 3981 594 609
## [11485] 759 2134 984 4823 682 1584 1839 2926 575 469 4086 756
## [11497] 1235 936 1952 3132 700 2589 306 381 1917 2751 6766 2486
## [11509] 1925 3990 3018 2516 3551 3559 1014 1059 2718 4204 529 117
## [11521] 1284 3191 3419 3145 8082 632 2485 2279 10545 4098 1156 2681
## [11533] 4680 2241 4185 1484 1107 1873 3511 4070 1682 3922 3698 2830
## [11545] 2762 1467 1814 2325 3699 1908 4988 853 1690 3306 1120 3142
## [11557] 554 2484 1447 747 1957 2442 1092 1560 4869 2896 5806 2573
## [11569] 4129 1879 885 2257 2018 3877 2734 3094 3115 4619 573 2496
## [11581] 1719 3459 1829 4128 2697 1380 2481 1549 1379 5552 2778 4012
## [11593] 1589 5605 1253 1866 3399 7471 4873 1701 1749 2869 1484 2816
## [11605] 5537 3439 462 489 2414 1800 4067 1991 1975 2641 4435 1462
## [11617] 3679 937 2378 3669 5412 3977 5354 1116 2384 14315 3085 8152
## [11629] 2355 2216 879 826 919 4007 1337 8294 7310 1470 2070 2051
## [11641] 2359 2303 3838 2625 1870 892 2384 4734 3852 853 1656 1529
## [11653] 2341 1510 2142 3976 4630 540 2702 2630 2311 3761 1013 2011
## [11665] 4299 2494 2832 1067 2457 698 438 3181 400 3789 1265 2015
## [11677] 1642 1805 4451 3297 5261 2381 5051 645 2006 615 2139 509
## [11689] 2951 3061 4308 4985 829 4756 2992 3502 2720 6006 840 5307
## [11701] 3378 8497 2136 817 2291 4874 1720 1995 5926 5762 3482 2033
## [11713] 2530 6240 1865 6501 3733 2680 2147 2464 2648 821 2527 2086
## [11725] 591 2437 1392 2302 3133 3382 4167 2768 1924 1389 703 3582
## [11737] 2831 2833 2781 3447 5278 2040 5145 1640 7119 3596 1977 1490
## [11749] 1812 1453 4658 2315 1887 2373 1869 1279 3394 2217 2859 988
## [11761] 3945 1573 3012 2412 5599 2652 4784 870 786 2425 1105 2732
## [11773] 3706 714 4662 1641 7142 1489 3584 2166 2501 15945 2757 3240
## [11785] 4266 3268 1893 2040 2938 2353 4531 4332 1555 4793 1398 1889
## [11797] 2429 2087 4333 3314 1963 3349 5833 1263 1107 902 1319 2155
## [11809] 1384 1632 2307 1967 1812 4370 2564 4172 2561 3024 809 3031
## [11821] 4633 2759 1837 5578 6167 2553 2964 5848 3536 863 3522 6962
## [11833] 1350 2914 2827 5207 1328 1677 4244 2603 2465 676 1948 3183
## [11845] 2535 8711 1851 19236 2324 2264 1104 1658 3409 2063 2156 4516
## [11857] 2861 4463 2557 2088 650 515 438 3015 2007 4022 2946 3159
## [11869] 4106 3455 3489 1209 513 3846 2999 2644 2078 5327 3333 5259
## [11881] 4136 2648 1708 908 5660 2760 2466 2047 2174 1335 3658 3011
## [11893] 3039 2249 1104 3090 885 4016 2120 1420 2307 2434 2741 2127
## [11905] 4499 924 781 4356 3190 1365 396 1856 2154 2580 2727 1791
## [11917] 2082 1492 4630 1896 387 2518 5437 2547 2916 2093 3512 2896
## [11929] 2940 2418 3526 1776 4599 396 2412 2165 390 1962 885 2184
## [11941] 905 2838 4155 2643 1780 1594 5222 1422 557 2748 3443 3604
## [11953] 2154 3736 4882 261 1785 1977 1118 714 2197 1742 5031 2506
## [11965] 1807 3781 2826 2051 2860 1018 1312 2785 3719 3056 2370 2082
## [11977] 3062 1305 5692 2563 2198 4303 672 1576 3353 4919 4723 1803
## [11989] 2869 851 2037 783 5602 1513 1017 2097 1825 537 7445 12518
## [12001] 1445 1332 2122 4091 1393 3645 5371 905 2273 1121 2067 4773
## [12013] 2927 13122 3218 1924 449 2352 542 463 4200 459 4040 3352
## [12025] 2087 1757 2778 459 4495 1488 4323 794 3075 2356 4431 1143
## [12037] 4368 1865 2475 1334 1013 420 2903 1795 303 5743 425 1838
## [12049] 2871 2826 3747 1267 2826 2167 1954 5592 3321 5677 2191 4197
## [12061] 3467 4103 1082 3593 1167 2520 4163 1060 3224 3353 4359 2742
## [12073] 4107 2642 1751 10412 1901 1631 2141 1056 2247 836 408 1993
## [12085] 3595 1189 1861 3651 2973 2095 201 2625 3373 2752 258 1776
## [12097] 4653 2067 2774 1955 5161 2894 763 942 2272 1468 2088 4913
## [12109] 3574 4293 2158 937 2355 4508 1547 7056 2682 1208 972 3669
## [12121] 3588 2110 945 951 2877 663 5040 2291 7805 4777 1691 5309
## [12133] 6199 862 1256 4850 1820 1828 3188 2631 3692 1286 6085 597
## [12145] 4444 2470 2796 660 4605 5340 1871 4802 1561 2235 3675 6938
## [12157] 1039 1527 2959 3719 1626 576 3490 2618 1967 5745 2496 2469
## [12169] 3074 1247 1520 1736 4929 2235 8461 3097 3646 1107 4733 1682
## [12181] 3566 2245 1478 2293 3235 2802 1882 3344 5862 3684 645 1744
## [12193] 520 1748 2120 1932 3078 2551 2266 7077 4120 2153 1565 2295
## [12205] 5334 267 1882 2023 2087 2501 1581 2025 1384 1273 2197 1980
## [12217] 1203 3757 2285 2239 1172 1483 2181 2430 1501 1987 974 3852
## [12229] 3835 2050 2703 2956 1776 2067 8392 1591 4184 2376 948 5011
## [12241] 2733 2083 2174 3200 2104 2246 8602 2452 1331 255 2050 1645
## [12253] 1375 3075 4757 4597 4207 1680 2119 4930 945 3685 1686 1537
## [12265] 1358 2121 1466 5178 2981 3040 1705 2587 1405 3469 6277 2946
## [12277] 1954 4910 710 3407 2421 1473 4412 1450 993 5579 3402 2651
## [12289] 1557 1498 5721 1843 480 2360 2558 1852 3161 2253 1545 1671
## [12301] 3411 4602 5041 2400 675 2430 921 2060 3118 3235 2720 1953
## [12313] 3245 3584 768 2060 3368 998 3568 973 7978 3510 1798 2285
## [12325] 4149 3238 5300 1991 1603 2014 2216 3161 1234 3816 1152 2816
## [12337] 222 3667 1360 1931 1429 2918 1572 2853 2532 866 3955 1896
## [12349] 3077 2918 2075 2931 686 2234 749 2477 9749 4154 969 1149
## [12361] 2719 3688 1095 2194 1431 2825 6119 2675 4285 821 2061 3723
## [12373] 1408 4220 2646 1438 3731 1519 1952 3005 1128 1583 5745 1782
## [12385] 1910 1006 2178 5495 2672 2628 972 5305 2699 3563 1989 2160
## [12397] 3076 5225 1020 3403 2062 2609 2565 2084 1925 3193 1632 5369
## [12409] 2380 2669 3470 1836 2711 3164 1747 762 3495 10756 2513 1989
## [12421] 757 4773 6552 1832 820 1720 954 927 4351 3502 1908 1341
## [12433] 2062 6658 3389 6413 1194 5174 1274 759 2664 6080 742 1934
## [12445] 5754 4791 6245 7812 1474 4335 1987 2233 2996 1798 2481 1301
## [12457] 2511 1553 3837 7616 2161 2486 4752 1812 1941 3113 3360 2308
## [12469] 3535 2900 1883 3976 2144 2577 1932 1987 312 5392 5135 4701
## [12481] 2338 2366 1417 779 1946 3057 3691 1348 2376 1164 2833 1468
## [12493] 348 632 2266 2412 999 2013 768 1218 1832 1965 2858 1089
## [12505] 3459 1745 3089 3186 962 2229 3331 4796 936 4522 987 3804
## [12517] 225 3961 2297 687 150 1098 1932 6838 2255 4290 1671 3425
## [12529] 1933 5515 228 2308 7569 566 1518 4000 1027 1281 992 2526
## [12541] 3592 1411 3121 2066 2903 1208 4767 1156 3477 3499 2008 11137
## [12553] 2801 2018 5000 3323 2158 2169 1260 2351 1694 6170 1548 1237
## [12565] 3612 2366 5590 945 2497 4817 3975 4066 1244 2466 408 3296
## [12577] 1176 2922 5679 3104 2331 915 1177 4037 3581 2381 711 3006
## [12589] 2792 716 285 3657 1594 2696 2292 2467 1351 3019 1789 10245
## [12601] 1699 1763 2596 1933 957 2808 4150 1470 1528 1943 4406 2931
## [12613] 1285 1283 1925 339 2773 4362 1899 1906 2496 1039 1826 5194
## [12625] 1600 5139 1252 3140 1102 1362 2685 4316 2159 4262 1463 1548
## [12637] 2947 2763 1325 4593 2152 3397 1171 1202 1307 474 2435 4515
## [12649] 4815 2987 1382 2584 2843 2379 895 2123 2818 5877 4485 3269
## [12661] 4775 1877 2054 1866 3709 625 1724 465 2305 5455 1622 1925
## [12673] 799 405 2724 1122 741 3257 2249 9226 1449 1933 4035 3103
## [12685] 2781 3308 989 939 936 954 969 2338 3237 2210 2720 1695
## [12697] 3100 960 2059 2624 6182 997 1016 213 2391 2436 1154 3238
## [12709] 654 2050 2792 908 3623 2525 1137 2314 3095 762 3561 231
## [12721] 1980 1818 2674 628 9304 3338 1433 1247 2182 2312 727 2698
## [12733] 1918 2949 1520 17677 3963 1210 1668 1553 1389 1525 2864 1404
## [12745] 4235 1983 4169 2874 3650 2606 5021 2653 1716 2394 1935 1672
## [12757] 1822 3631 875 697 1768 3954 4508 1837 3331 3180 3114 710
## [12769] 1532 471 1351 2223 970 2902 800 2224 3142 1254 2896 1807
## [12781] 2311 3849 3718 2042 3004 2128 2381 1446 1925 3247 2999 1785
## [12793] 2262 4432 2417 4878 3420 1659 1908 2527 994 1843 874 1347
## [12805] 2846 1561 1510 1273 1258 1698 4440 3865 2500 795 1729 2593
## [12817] 1903 535 1240 2609 966 2035 3014 956 1549 1377 808 1547
## [12829] 439 1007 948 945 2076 2497 1517 1857 1412 3279 882 598
## [12841] 873 6457 2515 4234 4379 1420 2317 2875 696 2164 1879 854
## [12853] 2226 2920 963 399 2296 534 1209 741 1308 1074 897 1422
## [12865] 399 3484 1629 1735 2545 1329 997 552 5742 6446 2458 9027
## [12877] 1784 6123 1205 4239 2698 3292 2283 2201 907 4001 827 1992
## [12889] 1165 1957 2134 3949 8859 4208 1045 2780 255 3657 1875 1835
## [12901] 4442 2570 1513 2141 2509 3077 2954 5244 3631 1852 3626 1195
## [12913] 1423 690 2367 1313 1014 2865 1839 1191 942 957 3644 1074
## [12925] 2063 4861 2803 2550 411 3627 939 1865 3685 860 5492 1742
## [12937] 2499 2037 2064 2941 2304 2017 437 1720 1111 1330 2940 2016
## [12949] 975 1882 1900 987 2051 2276 407 564 527 6527 2677 3197
## [12961] 1885 1380 1501 2027 785 3922 2382 905 2293 3462 2224 2974
## [12973] 3110 1499 6459 3013 1348 2632 6520 1491 1635 1188 1501 1157
## [12985] 3431 3205 2199 2162 1053 2958 5183 1346 5639 4257 1332 2066
## [12997] 1764 3388 1857 1681 1496 1235 1368 3557 2767 3848 2742 1413
## [13009] 2555 2418 2878 5682 1873 2331 3951 2614 1694 13074 3265 2112
## [13021] 1426 3557 4198 2948 2864 1590 1930 2247 2319 1464 5391 1335
## [13033] 2128 451 1330 255 1644 1996 1045 4530 2822 5490 3328 1113
## [13045] 696 2658 4066 793 3652 697 512 1772 1463 3091 4982 2168
## [13057] 4019 3839 2242 836 3139 153 2628 1372 1954 3071 510 4813
## [13069] 2580 345 2341 5232 8486 1881 402 2529 2057 1802 1160 795
## [13081] 15555 774 2654 2726 1152 1228 3003 302 1549 1948 3519 836
## [13093] 3425 1409 1151 774 9233 1137 5272 1528 2902 983 5657 3512
## [13105] 1418 924 3353 4627 2911 3019 2061 1712 1436 7583 2155 3137
## [13117] 2885 3468 939 1579 4828 1039 2901 2434 818 1898 2709 2167
## [13129] 1968 1512 567 665 2383 2686 2817 3318 243 5645 2052 3627
## [13141] 3908 1730 384 2163 2676 204 1234 9038 3775 305 3733 2290
## [13153] 2005 4191 3011 282 1917 3330 3018 1008 1866 1745 1703 2528
## [13165] 6497 1409 335 1202 1865 6748 2176 1927 1842 3667 5800 330
## [13177] 10113 868 2316 2726 1131 4091 2866 4485 3169 2986 2035 3668
## [13189] 582 1439 2155 4206 2945 3518 222 3974 2546 2008 2450 1370
## [13201] 2966 206 2785 3891 3952 1172 6588 1976 1245 2439 1282 933
## [13213] 2592 942 1547 927 1284 2331 2369 2708 1407 2615 2269 1225
## [13225] 3145 1608 2255 1298 1925 1173 4272 4059 1492 1449 2728 2011
## [13237] 3211 756 4206 763 3267 1256 5595 1535 2327 2063 2091 1502
## [13249] 2020 601 936 6742 411 2148 2251 3336 2659 1425 1395 5105
## [13261] 3431 735 1052 716 4453 2923 1796 3938 1059 4231 1303 1651
## [13273] 6355 4323 6345 3431 448 3648 619 647 933 975 1250 1544
## [13285] 1071 4289 1621 1729 694 1617 3957 2145 303 3156 2159 5558
## [13297] 1613 1634 675 2307 641 813 1185 4612 3019 1443 5516 814
## [13309] 1401 4737 1341 1525 1182 3797 1011 7164 6794 4712 579 959
## [13321] 1816 1866 1832 2030 1703 3447 2023 2598 2426 379 710 1511
## [13333] 2123 465 891 8457 1493 721 1400 1858 2347 690 1816 829
## [13345] 1132 2472 1059 2112 1859 2290 2770 3382 444 2164 390 900
## [13357] 2932 297 1238 1879 1238 2670 1996 3724 1753 847 4646 7472
## [13369] 1964 1530 3106 363 5429 3591 3786 522 1131 2270 1050 2059
## [13381] 2285 3028 4598 2003 4629 501 1952 546 1987 2101 3053 453
## [13393] 1665 1521 1468 5649 3042 2191 2341 3052 6799 4137 123 3414
## [13405] 2737 1476 2370 2309 2811 969 2113 1256 261 2619 653 2447
## [13417] 4856 4642 2893 6771 3079 2999 4379 459 4693 3712 1543 3640
## [13429] 811 3619 1608 1678 4323 2458 3159 2582 2332 1662 1476 2911
## [13441] 6565 2487 1086 1458 2943 5676 4079 5000 2519 2212 822 1298
## [13453] 2437 837 2543 4661 2008 3770 411 2392 1788 204 1273 569
## [13465] 2120 1715 1032 1394 4857 6448 969 2796 927 3595 3732 2518
## [13477] 1160 2995 1922 1334 1353 4344 2166 1168 895 967 1203 971
## [13489] 5027 636 4433 6324 2749 2103 4085 942 2048 1971 742 748
## [13501] 2892 759 1293 4639 6474 3192 1524 147 3606 4089 1947 2986
## [13513] 3275 3267 3108 1755 1982 1885 1765 782 1414 2089 1963 3864
## [13525] 2798 2121 6722 1368 3562 2283 907 7446 1226 1065 2082 2314
## [13537] 2830 2915 1985 584 2363 2458 2377 1696 500 3029 1864 4475
## [13549] 1406 3565 2273 4103 2347 1857 1394 4107 2066 1828 2130 3347
## [13561] 4423 8000 447 1755 942 3385 1988 2024 2654 1879 3112 8036
## [13573] 803 3924 2528 2629 2075 1067 2315 1855 2659 2860 2634 915
## [13585] 2081 948 1585 585 2575 2532 2309 3464 3713 2079 1796 3600
## [13597] 2312 2956 13302 2510 2150 948 3039 549 954 3157 543 2541
## [13609] 5388 828 516 1626 2382 180 7026 2263 3163 1128 2310 429
## [13621] 1928 3606 1026 2164 1181 1707 575 1599 7840 4933 3236 3312
## [13633] 698 564 998 1345 1562 1298 4066 353 1892 4642 1125 2680
## [13645] 939 11341 975 1248 16235 942 708 348 5752 2493 664 4980
## [13657] 1254 933 2269 1037 1144 4672 3008 4048 1126 2589 1927 606
## [13669] 2777 1812 465 957 1260 3602 2329 1641 3055 1900 1900 1316
## [13681] 1507 927 1960 3216 1036 2050 1528 4863 2072 3412 1432 782
## [13693] 1831 4687 1876 3511 3778 1357 1103 2921 1492 2459 3824 2013
## [13705] 2682 5519 951 1655 452 1977 912 2553 4423 4569 1606 615
## [13717] 2314 2935 1928 3182 1196 936 2763 2340 944 724 742 1125
## [13729] 2625 3653 834 1208 4683 775 1815 1057 573 1736 2580 3196
## [13741] 2337 5122 3111 1089 5163 2549 4023 3862 3473 2577 1798 1654
## [13753] 793 1716 5901 3663 1463 5234 2091 2837 4746 3355 5019 2716
## [13765] 3115 501 1714 514 2287 478 2615 255 604 1225 1315 1780
## [13777] 1735 417 2481 1109 5239 1611 1909 2500 3669 1255 7026 936
## [13789] 2038 5514 8005 4413 3124 1379 732 975 1281 954 3885 2762
## [13801] 732 1932 3326 5227 930 1833 924 6494 2163 939 3786 1129
## [13813] 3414 586 2000 2647 2677 747 2865 2557 1655 3623 930 1082
## [13825] 1918 3312 1776 2101 2284 399 6111 2474 3299 468 5219 2587
## [13837] 2836 3940 1080 1433 4784 3072 1829 10912 671 4071 2116 1903
## [13849] 1606 444 1702 4656 868 1569 1927 336 6648 1934 888 4193
## [13861] 3768 1810 5865 495 1117 1546 2681 2514 2346 1373 906 2634
## [13873] 2508 4310 6030 1406 2833 1156 6773 1440 1560 4443 2586 2534
## [13885] 3100 2237 1257 2802 309 2247 1290 1061 3375 1947 2470 2524
## [13897] 564 418 1955 1800 2335 719 3979 1853 2467 3121 2128 414
## [13909] 2322 871 5200 216 1738 1068 1957 3455 951 5633 948 951
## [13921] 2476 1310 2445 1008 799 1956 1937 1152 654 7993 1664 5328
## [13933] 900 1632 1106 2345 3862 2541 2109 1002 1976 1775 773 1418
## [13945] 5807 348 4401 2430 2109 1889 4030 5880 885 3479 4646 795
## [13957] 3364 1766 705 1167 5506 1454 1737 1453 2902 930 930 932
## [13969] 933 345 925 2522 2979 3059 744 1306 1110 5029 1354 956
## [13981] 933 3174 930 2343 912 2936 2334 962 1953 1837 1713 1193
## [13993] 1066 2788 2571 2440 1356 1356 573 5571 2014 877 600 3270
## [14005] 2004 2182 444 2363 930 6259 795 1344 705 912 3372 2168
## [14017] 948 1680 975 2057 705 833 1013 2349 795 1305 2415 3135
## [14029] 6162 3833 2363 1651 1821 945 930 910 2249 3343 945 6435
## [14041] 4291 954 1462 2506 7226 930 2431 715 1542 552 2587 759
## [14053] 2978 825 402 1978 939 1863 933 523 3042 951 1148 2520
## [14065] 1476 4574 1345 2186 1599 951 969 9383 2077 1450 5065 936
## [14077] 1919 2092 1470 1647 7892 1401 1294 3076 453 1887 1642 4600
## [14089] 4954 2356 547 1104 1742 2490 1645 1044 2100 1812 954 1357
## [14101] 2420 1969 4964 2153 4623 923 2407 3279 2055 2001 1041 411
## [14113] 2296 4730 1185 660 4896 1754 684 1885 3543 3158 2318 2690
## [14125] 1546 951 2591 2447 1734 702 4229 4266 945 2150 918 921
## [14137] 2006 4868 2047 1881 1613 1729 1455 204 2411 362 2232 2991
## [14149] 2900 2076 3888 2788 3936 3830 3910 300 2413 11072 1644 588
## [14161] 585 2183 2124 2428 441 2581 732 4456 258 10756 887 2286
## [14173] 2222 2152 2663 1044 4519 2527 5760 5059 3335 321 455 1613
## [14185] 510 2065 708 2063 1074 1779 2036 3351 2873 4026 1668 3415
## [14197] 141 1165 2163 4847 2874 1365 2694 1868 3730 213 60 1125
## [14209] 3705 1535 771 1945 3628 2646 579 3368 6210 2307 2017 2653
## [14221] 3436 2218 1096 5733 711 9597 1631 3842 342 7025 1513 1956
## [14233] 1918 774 3943 2288 4256 3223 2078 2346 1847 321 2541 4514
## [14245] 10292 437 1125 2000 561 1260 2457 3655 534 3359 1688 729
## [14257] 3828 730 9593 4034 7368 3807 2421 942 444 330 1187 1080
## [14269] 4654 612 723 3570 3630 1588 1470 563 2809 432 942 3868
## [14281] 1073 992 2767 1045 694 2458 957 5492 2826 1823 1437 1360
## [14293] 2209 2192 465 703 118 4703 4722 270 2787 833 1704 647
## [14305] 751 5740 3502 5053 810 1386 1117 602 8288 954 3530 2218
## [14317] 348 1383 1523 6958 1695 7896 3231 2990 2041 3240 384 3132
## [14329] 7764 1002 1540 2544 3126 408 1307 7839 4110 1757 2482 2860
## [14341] 1365 306 2430 2648 800 3261 2408 1485 177 459 524 2790
## [14353] 384 4422 933 2799 354 3227 5786 579 2861 5005 6984 3586
## [14365] 1524 3258 213 569 4878 5093 387 1255 647 2257 483 4241
## [14377] 291 5217 348 3488 4088 2823 1305 880 9325 1823 3402 2440
## [14389] 3100 2410 3226 4435 1051 390 986 1151 2445 1335 3350 1739
## [14401] 237 8085 3513 1685 492 1779 553 1599 2885 876 1793 1662
## [14413] 5328 1600 2133 159 2005 2317 2372 210 2741 2780 1891 531
## [14425] 652 2136 2115 1052 2464 1358 5765 3714 1613 3101 701 6359
## [14437] 3387 1566 2538 483 2009 3052 336 4202 1695 4744 1071 1916
## [14449] 2056 603 3462 2849 2391 1318 2508 1197 5742 4905 907 1317
## [14461] 1158 2900 1610 3193 1609 2549 3564 2696 447 2444 3197 7259
## [14473] 6573 711 3615 3266 822 789 216 1212 1431 5877 2775 2174
## [14485] 9989 1513 1407 1803 1281 2816 936 1892 3040 1947 3337 2651
## [14497] 450 3623 3226 4236 2306 405 210 1415 2585 4096 1213 1344
## [14509] 3057 2753 4136 3148 1864 599 663 2015 1580 2237 3996 1809
## [14521] 2584 3585 6588 483 195 3103 3253 2658 4616 609 3329 2655
## [14533] 833 2223 768 483 830 2997 1309 2040 883 645 2414 3302
## [14545] 4696 3466 972 1110 1119 4371 2189 1757 1091 1879 2550 4046
## [14557] 4401 660 939 2514 3586 906 803 1651 2008 4504 3426 6522
## [14569] 1029 462 1712 2331 2545 4330 3446 1404 770 2593 615 1113
## [14581] 2591 2400 770 2673 1852 3547 5669 7382 2274 2065 2032 3122
## [14593] 4644 3883 1918 2048 1071 1330 1788 2679 799 1626 2488 1481
## [14605] 1904 918 2444 900 1804 2268 1543 924 3155 1757 975 1711
## [14617] 2415 4409 1777 1302 1457 3374 3601 939 411 1243 906 945
## [14629] 936 4855 1084 543 2934 1900 915 300 3775 3536 2289 2786
## [14641] 8228 1200 808 3579 4475 8174 2215 5132 2155 300 4284 669
## [14653] 2408 2386 2574 2444 737 1120 4488 1034 1545 3860 1427 933
## [14665] 2962 747 1314 1062 3446 6535 627 3679 901 1990 1384 909
## [14677] 2491 1114 1849 852 2441 1153 6625 3342 3161 1344 4042 2103
## [14689] 318 2262 2718 5291 3359 2956 1469 1617 2111 2618 1272 2726
## [14701] 1945 1254 608 3281 78 1813 917 1464 3381 558 1151 1689
## [14713] 1080 2155 1765 1490 2471 3737 1413 2836 2229 1770 3212 945
## [14725] 3736 942 831 1185 1035 5054 3550 1714 2696 7913 1744 3570
## [14737] 1553 2629 916 5751 963 3065 2402 2946 1840 699 1656 1726
## [14749] 1413 777 2358 1455 2152 1448 1802 988 6044 2614 2262 2113
## [14761] 1553 1585 1536 3397 2656 1668 2748 1590 1231 1968 2018 936
## [14773] 411 930 1736 1440 401 1068 2280 996 624 2001 2445 1711
## [14785] 417 519 1785 1673 2247 4962 369 3189 3073 372 774 2699
## [14797] 570 630 2436 423 2066 2043 2474 1471 1080 1935 375 1754
## [14809] 1320 696 1481 1510 2184 1041 1329 2165 1527 2328 1437 904
## [14821] 2119 4012 492 3173 1031 2066 3173 851 1879 4622 522 1768
## [14833] 3198 3965 2880 1154 4486 4462 1578 444 87 2549 105 3307
## [14845] 5053 2175 1740 486 4681 2374 777 1100 369 650 1831 4240
## [14857] 1572 2774 2292 1898 2272 1509 1719 693 5915 4278 822 2109
## [14869] 300 429 1488 1599 1709 2657 2379 804 4461 896 2766 4524
## [14881] 1613 609 519 979 429 171 1773 406 979 4280 2400 994
## [14893] 6379 4091 2754 2502 585 597 2709 1885 1113 975 936 2086
## [14905] 1557 909 1223 6245 785 681 993 331 7093 939 951 2245
## [14917] 1713 915 988 939 2700 915 2342 717 939 2399 6223 972
## [14929] 258 3294 924 942 1159 2225 510 1047 954 2341 369 506
## [14941] 2967 2069 675 2498 3518 888 1642 867 1880 2855 2412 2034
## [14953] 525 2302 486 840 4251 2405 681 2052 2048 2064 417 1604
## [14965] 1473 3160 2136 1950 288 2732 1542 1212 1141 1066 3376 936
## [14977] 912 3435 651 924 2270 1678 4163 406 900 981 5061 909
## [14989] 930 2241 363 1188 918 1308 3790 3743 549 2408 6710 4109
## [15001] 4348 1283 972 1876 4634 1207 3471 1879 3363 1781 2047 5182
## [15013] 2732 933 2296 1038 859 5175 369 1506 918 4067 3093 552
## [15025] 2342 3555 1020 999 2599 1765 1493 322 777 966 1224 840
## [15037] 3857 2125 387 1540 2618 1811 285 2619 978 1789 2381 510
## [15049] 948 2202 2654 2003 2210 381 2862 696 2064 678 1900 2216
## [15061] 2815 956 966 5142 228 8718 1529 945 1145 906 2912 984
## [15073] 1062 909 1456 1825 1909 843 4089 855 1659 972 564 993
## [15085] 3985 1362 372 903 474 576 2032 2157 885 3856 948 474
## [15097] 585 378 3003 1401 2518 1590 1678 1766 2081 4528 1016 3206
## [15109] 6078 1931 285 915 561 2020 4784 1570 3145 588 2430 2366
## [15121] 1182 2521 2852 1830 6912 693 2331 4486 720 6897 1286 3147
## [15133] 549 480 2014 586 474 664 1599 2047 1268 1589 972 510
## [15145] 1287 1242 1017 5211 939 2063 1503 3465 939 2259 1873 2010
## [15157] 1067 10836 963 971 963 423 1556 4852 351 2598 939 1909
## [15169] 2079 2742 510 336 501 1572 987 2085 1580 1646 651 2124
## [15181] 4056 4977 954 603 207 2400 399 1966 424 1630 408 1782
## [15193] 5226 1958 4726 2408 504 396 1671 2202 4716 639 1056 924
## [15205] 3146 2622 909 2193 3688 7122 396 4650 1136 731 1715 2059
## [15217] 2570 471 549 1535 198 534 2312 1932 1550 1779 2229 930
## [15229] 2183 3023 1399 819 3562 930 3892 4932 5209 954 1783 654
## [15241] 2384 815 2308 3504 423 507 330 468 501 936 2753 2820
## [15253] 2505 2623 618 1179 6228 2100 3806 978 408 3180 2328 2454
## [15265] 464 2789 996 1851 3443 928 681 2386 3266 2453 363 2277
## [15277] 3402 588 2071 990 1381 1107 4579 2036 3012 120 1623 1044
## [15289] 2230 918 4793 1531 1900 843 825 1863 582 5039 4158 4627
## [15301] 918 2435 2379 2361 1748 492 1944 1796 2758 1405 1589 486
## [15313] 939 2175 483 4515 2748 162 2256 3449 1714 618 651 1413
## [15325] 396 652 1683 2311 3532 1287 3302 1919 3692 2550 138 1336
## [15337] 384 933 2729 2371 1081 3658 390 1342 2914 344 690 153
## [15349] 2697 2025 2611 735 4026 4445 1713 1515 1305 1233 1202 1550
## [15361] 3035 1714 1643 4746 435 378 396 249 5985 2986 882 1378
## [15373] 3674 3761 1858 1761 1697 2513 836 1846 8367 3189 357 1374
## [15385] 1081 833 216 579 1753 2206 1543 2622 348 3063 3168 685
## [15397] 3393 3462 3121 2300 6043 885 2646 1062 4246 2249 15249 330
## [15409] 3983 888 363 519 2809 3659 2998 2572 2091 162 546 1918
## [15421] 1503 4070 285 309 291 138 402 755 2508 3024 3180 1443
## [15433] 873 930 1390 747 2802 1401 1470 411 1984 945 1302 165
## [15445] 1737 441 843 393 360 2414 537 1269 2047 2201 2455 2283
## [15457] 1866 2013 543 315 3128 869 601 180 308 411 1463 2015
## [15469] 1381 2441 710 3515 2338 435 3180 2347 2319 1982 1272 1785
## [15481] 2191 453 1817 2213 396 3806 5452 1295 2146 2961 927 1663
## [15493] 575 1941 566 1527 708 3616 3820 1794 2097 521 2956 2065
## [15505] 582 927 3462 171 2027 4441 1443 3839 3754 2050 609 600
## [15517] 2002 2859 1728 858 1683 369 736 1154 2640 1365 4706 4262
## [15529] 3789 2983 2657 505 1817 2148 2285 2531 1760 1788 1990 1067
## [15541] 1350 663 3914 363 1978 929 2113 684 189 2893 3928 414
## [15553] 2006 510 4637 684 883 4452 1050 1532 5338 1064 1979 1839
## [15565] 1973 483 2070 2922 4331 4440 1603 510 3001 4224 3416 4795
## [15577] 3406 2069 884 862 1583 1887 2932 1245 408 2521 1280 2812
## [15589] 2050 273 2628 2434 3174 2369 1508 168 443 456 1704 2678
## [15601] 1300 1813 4064 945 3742 1612 2646 1199 1125 957 3145 2948
## [15613] 391 5325 1336 1189 4656 1101 4838 510 912 678 1814 5352
## [15625] 2942 2736 2766 1081 2930 1210 348 3362 3738 3357 2017 2105
## [15637] 2153 357 618 1638 1495 4241 594 918 1901 1782 2873 2310
## [15649] 3798 3310 972 486 2000 1793 651 7044 743 1732 2555 6282
## [15661] 3565 2648 492 3753 400 2692 714 1780 2552 402 384 837
## [15673] 3365 759 378 4240 489 737 3428 321 396 192 4399 4334
## [15685] 2677 3015 1719 2536 600 2468 1558 3177 897 2848 1358 918
## [15697] 963 474 259 2175 2766 3849 933 919 2471 264 3954 693
## [15709] 1850 1760 1451 3203 3359 1134 1263 4131 1433 4230 1549 369
## [15721] 1173 757 2285 4098 588 3345 2662 2561 390 2736 3100 930
## [15733] 363 930 1125 2371 771 534 1250 1164 933 396 363 1287
## [15745] 873 939 7119 348 3934 1593 2073 1053 1913 2468 1796 402
## [15757] 2223 249 396 2177 390 921 993 459 4086 1047 249 1691
## [15769] 915 1905 3241 969 1032 2153 1340 969 384 5046 5547 6038
## [15781] 1804 2601 765 1599 1329 555 16994 3417 306 2264 4494 399
## [15793] 189 4055 498 2563 4330 2199 1269 3694 1219 1347 951 2000
## [15805] 1996 2835 2371 3322 2136 1818 3085 1118 1240 1804 3801 1935
## [15817] 4332 1113 876 612 7010 4120 1122 945 369 775 312 1014
## [15829] 2917 1737 2371 906 1000 1257 1047 3681 318 610 1639 948
## [15841] 1589 1784 888 4081 4064 2774 795 1014 1887 1987 912 222
## [15853] 711 1021 405 1899 7984 5084 1684 879 1523 2535 659 2170
## [15865] 655 1997 504 1796 1616 2874 3459 1373 2475 2334 438 2332
## [15877] 3854 2955 886 1450 2729 1732 591 1901 482 2190 1442 2105
## [15889] 780 4067 2030 2072 4544 1956 5605 2946 3983 693 5786 3099
## [15901] 129 2882 480 156 285 4120 941 873 2243 1830 377 372
## [15913] 1506 960 939 759 2872 177 1038 4264 3266 867 660 492
## [15925] 960 651 4113 1729 496 5261 918 225 1203 2314 225 711
## [15937] 2249 3477 1302 588 3253 3815 1296 252 1687 2693 591 1615
## [15949] 1419 297 246 702 228 6324 2392 1143 1880 3365 1262 2962
## [15961] 186 2466 3664 363 2450 423 801 2490 933 1080 5051 1447
## [15973] 1682 2974 946 786 2153 852 1013 810 2191 1143 1738 195
## [15985] 849 2449 2463 1455 3438 3044 2183 336 711 1545 1539 4411
## [15997] 1294 1949 535 2323 1937 3368 2104 396 210 5313 1252 2082
## [16009] 600 2469 1357 2557 372 2859 63 3192 1137 1671 3412 360
## [16021] 3284 2193 5207 3635 2554 813 360 867 4341 3955 960 3611
## [16033] 915 1225 2123 945 2854 3268 2726 948 240 2885 522 291
## [16045] 1198 939 2647 966 680 186 2443 974 963 3243 2616 975
## [16057] 2077 1695 2448 2041 3054 3289 790 2805 3120 1997 902 3612
## [16069] 2883 711 1338 1318 5915 966 2238 171 5049 4576 1001 1869
## [16081] 3595 471 5262 2260 1283 2732 36099 1643 1338 2734 417 201
## [16093] 2755 5159 1195 1894 1168 369 1344 1839 807 5201 393 3690
## [16105] 6732 3810 2024 162 1403 738 885 456 930 702 897 432
## [16117] 1973 4369 387 810 105 2692 1930 981 5310 588 2772 1089
## [16129] 1836 2332 936 850 366 3762 2242 129 2315 1438 1284 1170
## [16141] 5075 387 3748 726 861 495 3045 926 2277 2500 1578 903
## [16153] 1488 732 6237 3085 2151 267 2875 972 474 351 945 2682
## [16165] 1163 2541 2894 894 7833 405 879 1261 315 603 3073 1649
## [16177] 2439 2280 957 903 945 561 846 1485 2369 3618 2767 1995
## [16189] 2897 913 1648 3485 2927 907 939 7302 150 936 366 981
## [16201] 1193 2286 156 2362 990 438 2957 708 945 486 4075 3010
## [16213] 924 2438 1341 915 792 939 2106 1241 771 1590 1894 975
## [16225] 1251 2297 3075 5527 498 1280 544 942 3539 850 1325 3991
## [16237] 951 3487 954 3709 543 3409 2932 1717 870 1029 2394 1296
## [16249] 303 3290 1338 315 930 4256 2339 1671 3593 1919 814 939
## [16261] 1689 933 2148 951 906 663 1386 945 987 945 714 1032
## [16273] 823 5582 1135 288 786 6633 807 3171 951 4712 528 3561
## [16285] 189 3178 3348 1365 1729 1241 414 348 939 441 2529 1510
## [16297] 2581 3387 1317 3408 396 3033 1499 2235 1449 1374 533 1257
## [16309] 384 651 2312 372 736 2356 3463 578 2039 2397 4195 255
## [16321] 273 3492 162 1912 3037 1389 2302 3312 3024 561 524 1155
## [16333] 629 441 1622 2241 2095 2940 1421 606 931 5354 2090 1432
## [16345] 3495 279 429 2993 1233 63 606 201 4815 1914 1404 1784
## [16357] 1974 4528 1619 1201 3120 2283 2358 165 2559 4628 2133 775
## [16369] 4623 4551 3120 1784 2771 5135 1464 1450 936 2700 435 1643
## [16381] 462 4050 410 2470 288 3952 990 2270 4010 279 204 339
## [16393] 4812 465 2137 2080 1762 873 2056 162 856 3831 3449 1481
## [16405] 2234 678 351 492 387 408 4178 1146 138 273 2733 2744
## [16417] 1932 3078 3129 4704 1968 1530 1638 2846 3021 2380 1818 7642
## [16429] 471 1671 2762 1171 1057 1293 1420 3510 3806 702 1760 645
## [16441] 1627 2566 345 996 1892 2611 1303 5251 411 411 330 2178
## [16453] 3985 4219 928 1161 102 492 282 465 1371 5109 387 1599
## [16465] 948 6702 1083 1854 2774 918 966 1698 2028 548 942 366
## [16477] 1672 2272 2341 1035 2551 9003 2736 562 973 1306 543 2841
## [16489] 2622 282 1837 3591 1631 483 1698 942 2262 2026 2445 1251
## [16501] 3296 10969 873 1062 204 3837 5748 564 2369 997 1092 948
## [16513] 2550 839 588 2249 1949 1500 111 177 1900 1206 1623 1222
## [16525] 582 1173 3571 3978 7538 2375 348 2280 899 769 939 2149
## [16537] 2464 2334 2076 930 1812 5924 3367 792 939 2659 2333 1178
## [16549] 2013 485 1980 2087 1440 2421 2106 2389 2461 630 1326 396
## [16561] 1791 2367 1593 1193 1966 4428 3295 4108 2741 942 1993 2662
## [16573] 1773 3728 3498 1194 1653 1121 2259 1821 850 465 3446 1726
## [16585] 4440 2922 942 1347 900 1781 1990 554 804 4812 1945 1158
## [16597] 7164 714 135 1020 3042 3403 1849 1585 921 222 3801 1923
## [16609] 20670 5811 998 1038 1668 1792 4372 2569 9856 888 459 939
## [16621] 1635 951 174 2901 2508 2232 549 3510 1751 903 2086 2427
## [16633] 2586 1125 660 1518 1287 1566 417 510 300 1446 702 3748
## [16645] 930 1813 2486 534 777 2688 279 2144 2187 174 1843 933
## [16657] 2736 2606 3078 534 822 891 2449 1558 1915 3248 1838 2324
## [16669] 405 849 2523 969 1513 1981 1737 1338 1806 957 945 1635
## [16681] 1621 897 2379 6142 2914 1250 2986 4672 210 822 1695 516
## [16693] 1645 942 750 390 618 1027 1110 1600 303 237 4017 3780
## [16705] 501 1542 3121 1038 1362 78 1953 707 4170 4395 882 384
## [16717] 775 348 2096 453 654 2123 2630 2262 327 3634 2961 10014
## [16729] 3398 237 2082 5695 1661 567 342 4536 1017 1118 1638 249
## [16741] 2341 198 1309 2786 4336 393 1065 1471 423 1203 1433 1767
## [16753] 1483 1032 2884 564 6541 1440 438 965 396 354 510 2271
## [16765] 411 2361 1379 716 1002 180 1954 276 935 615 501 3140
## [16777] 1751 1945 2301 1148 1188 747 1007 7473 1988 2270 898 192
## [16789] 1726 793 2739 417 1976 123 3639 2906 387 2032 1505 1701
## [16801] 2237 225 1049 2775 855 393 1692 525 1090 1693 357 435
## [16813] 2495 1273 2033 1931 1149 951 1211 601 6247 2226 603 3409
## [16825] 2280 2685 570 1848 3014 5814 3186 2843 5167 2594 321 2311
## [16837] 2719 2024 2547 1131 2315 1308 2491 2168 2754 1422 888 3081
## [16849] 2090 2262 2396 321 3827 900 2788 1023 2334 714 1657 3324
## [16861] 174 132 1839 844 2671 4167 1957 2310 1384 1703 1968 1767
## [16873] 3301 6057 978 3285 4325 8515 405 2585 6525 3039 1542 816
## [16885] 1501 3797 657 4821 2449 2472 1629 336 931 2330 2168 3069
## [16897] 5061 3295 2396 719 1330 767 431 936 63 1158 2128 6710
## [16909] 3806 213 1919 1603 4956 939 174 357 198 855 474 2357
## [16921] 825 2488 2082 2568 2989 3476 500 4232 276 417 315 501
## [16933] 1645 3028 2545 207 955 2152 255 939 7635 766 132 726
## [16945] 2682 930 2863 1459 766 1355 939 2236 603 1335 2443 132
## [16957] 1697 1155 2143 3312 2810 952 4974 1425 1708 3568 840 2276
## [16969] 2431 3714 1668 1861 8555 900 417 3445 789 437 1431 393
## [16981] 2911 2323 222 1389 5993 1444 2979 264 930 972 634 321
## [16993] 495 777 1473 525 2739 3057 636 3774 3914 444 2984 951
## [17005] 808 486 1849 491 1742 1838 1252 587 9285 393 687 435
## [17017] 273 153 681 1284 2808 3532 2755 1674 2001 3222 2055 996
## [17029] 1796 483 927 4545 681 1893 810 1878 1903 3067 3132 1213
## [17041] 1365 6793 432 1228 1563 2058 1524 204 4083 423 2114 759
## [17053] 3247 948 3137 4052 1332 1320 1921 1029 3275 470 270 3795
## [17065] 1045 762 1187 2690 585 1649 2613 1196 2715 117 2780 876
## [17077] 2353 225 510 378 2725 4181 171 1150 2649 2845 3862 1867
## [17089] 4109 559 1121 1847 3181 1862 315 4013 3196 2010 7898 1964
## [17101] 1827 723 6571 222 710 3971 1099 1149 2606 2545 285 1251
## [17113] 3722 873 690 1044 2415 6028 381 345 2130 2451 1367 948
## [17125] 705 3267 3521 801 1721 2279 1593 216 3759 3660 939 2256
## [17137] 1981 600 396 2324 303 369 2792 564 807 747 3981 1626
## [17149] 4234 705 897 771 387 2519 439 522 1860 1093 498 846
## [17161] 1388 2776 216 1146 2745 930 4358 4317 2812 2382 699 939
## [17173] 2255 1948 739 615 642 2720 1586 1807 528 1043 303 2513
## [17185] 1025 1144 5077 3959 5855 354 1801 387 657 984 241 3020
## [17197] 735 511 1011 585 2368 1632 1154 2033 1044 2451 6046 1482
## [17209] 2795 733 177 1911 627 1626 1982 3481 1581 5598 3729 9030
## [17221] 531 2862 3564 4328 2639 2373 3077 3660 1581 2797 1145 939
## [17233] 603 861 3910 3038 582 3694 900 2390 719 541 2504 2983
## [17245] 2133 579 243 2718 3284 576 1205 2341 483 939 1814 5487
## [17257] 627 2583 2029 393 915 5427 2136 4145 2566 381 3339 414
## [17269] 972 3619 699 1761 3005 2786 4226 792 1575 5401 234 1639
## [17281] 788 3578 1064 892 881 1070 2568 4175 3881 1779 1022 621
## [17293] 894 699 2638 1920 3177 3320 1069 3868 1233 1221 2227 1421
## [17305] 973 210 564 2207 1626 1942 3249 243 1319 1709 2183 2136
## [17317] 1570 968 1535 5874 606 1780 3317 1216 1981 2962 4681 1401
## [17329] 3013 1784 399 1416 555 2908 453 2186 2504 723 2346 1266
## [17341] 930 2387 291 294 3070 591 588 2376 2441 3293 1503 717
## [17353] 675 1818 246 4549 1215 2627 1900 2423 1476 1083 863 3300
## [17365] 399 2280 2158 2033 1643 2814 507 1797 3829 1939 633 3197
## [17377] 963 507 3938 1693 387 2090 1221 2061 3016 5813 1529 348
## [17389] 1017 3630 3259 546 399 5964 294 7652 1025 2564 3628 1383
## [17401] 1040 1685 1860 5660 2020 2422 1585 4957 2010 4555 1722 2067
## [17413] 411 447 3024 3451 1193 2404 12985 369 2757 1743 1356 1619
## [17425] 1725 862 699 3322 321 2830 2402 2235 516 669 1583 276
## [17437] 1539 1646 7394 606 2691 2370 2163 2384 2459 1434 2542 321
## [17449] 2802 2682 1406 684 1940 3484 1566 1905 1164 1938 348 875
## [17461] 3949 1850 2342 3990 465 3471 1324 3931 2160 721 408 6647
## [17473] 9555 231 1556 3608 633 420 1953 4211 1723 2641 3681 1738
## [17485] 1092 850 375 1243 321 2447 1656 957 1053 2253 2581 1934
## [17497] 972 1114 1935 2849 487 7325 1326 930 1139 1014 3043 477
## [17509] 2143 6999 216 1002 573 306 879 270 6351 279 1930 2835
## [17521] 987 348 282 649 4753 4062 147 3203 924 1435 2769 192
## [17533] 2644 2415 4317 614 2405 4263 1911 468 2283 327 3937 2799
## [17545] 1074 1878 1824 2170 765 1500 2301 2818 2273 1458 918 3770
## [17557] 699 1879 2242 2647 5047 945 2361 936 849 927 528 4105
## [17569] 1149 945 1852 2001 927 213 955 1502 2170 1319 321 2018
## [17581] 1790 2040 1202 7536 1944 2919 4633 1134 1847 1454 2041 3636
## [17593] 273 2800 843 1693 2028 357 2382 243 576 1546 585 1177
## [17605] 2076 3324 585 762 444 2370 429 8617 2238 870 897 357
## [17617] 2668 3533 2390 2847 2013 729 2500 2264 576 5717 2058 945
## [17629] 1521 264 2140 4462 5832 930 1847 2882 561 132 450 2456
## [17641] 3385 5808 1762 372 934 4704 1077 324 1962 540 5537 2356
## [17653] 840 336 285 1948 2123 930 126 3503 1488 3217 4545 933
## [17665] 4042 1671 3800 2297 954 2223 981 3063 4138 2413 1415 1773
## [17677] 2119 1383 1269 1094 1294 1707 973 10932 1077 3814 3017 568
## [17689] 636 360 7115 890 2788 1527 318 933 2458 945 2994 3195
## [17701] 462 1844 1602 2080 4234 678 5936 237 4244 6857 903 189
## [17713] 6063 1052 303 2010 468 2728 237 1796 288 1465 1523 6088
## [17725] 1470 5284 4594 4282 4313 2152 856 1591 2337 5154 1500 1478
## [17737] 780 1572 1429 4856 2129 1705 264 474 513 4123 804 1506
## [17749] 4904 3085 3186 6195 252 957 957 636 750 246 1572 297
## [17761] 192 405 750 4488 699 4828 1980 2275 1155 570 2066 1970
## [17773] 570 1623 1758 2308 5238 3718 1325 1067 1521 1655 3595 816
## [17785] 1704 1797 381 333 1634 411 1818 318 4306 927 4803 1296
## [17797] 3526 3321 798 960 648 1383 1008 1548 2065 1263 5257 1436
## [17809] 1098 1742 4800 1473 702 171 147 192 189 456 963 423
## [17821] 8191 873 1423 177 219 255 246 453 483 1494 519 5120
## [17833] 159 1905 198 2786 2054 1489 240 5193 1888 2709 1530 270
## [17845] 3516 1487 2258 387 252 2359 918 888 3194 2753 1053 923
## [17857] 2428 270 753 357 1821 8158 963 303 1130 2649 237 829
## [17869] 1705 1973 4782 570 3465 3551 372 1164 1365 6000 5446 3578
## [17881] 1379 1437 456 2015 1068 3010 2369 2342 1555 3647 1300 300
## [17893] 330 321 333 1032 3259 4507 1245 3343 392 504 5516 240
## [17905] 333 285 2050 2981 288 2041 3409 1867 2602 2385 2819 3070
## [17917] 1567 2151 5760 1007 3535 966 1276 1364 4344 2706 342 4856
## [17929] 6611 5199 708 3222 477 1154 1525 192 2620 624 1293 522
## [17941] 1718 150 2131 645 1188 339 6493 1742 3221 1607 1205 426
## [17953] 1978 5183 1575 537 3161 447 4962 6767 1491 1377 2475 864
## [17965] 1340 1569 3177 4013 522 627 2218 1188 1074 537 1687 5639
## [17977] 933 531 2394 570 2753 1461 474 3236 4262 634 2772 2073
## [17989] 933 1060 522 4232 1290 2286 1269 240 1919 2624 3035 2238
## [18001] 324 650 135 477 417 5409 960 6138 3439 4925 804 1266
## [18013] 900 3332 2770 996 1921 2150 1982 1441 942 1446 1572 3580
## [18025] 411 2419 4295 5072 1875 432 1848 1756 2770 4140 1296 5449
## [18037] 3436 876 945 1448 1456 480 4503 876 285 3119 1834 3273
## [18049] 5201 1464 612 2330 828 606 5569 4016 3330 4466 1976 2045
## [18061] 976 948 1268 660 2792 465 2747 3119 1968 642 2553 459
## [18073] 844 795 1773 2188 114 2254 1860 1059 3646 921 667 1911
## [18085] 933 1482 5678 936 1826 3134 738 795 813 657 564 7326
## [18097] 546 998 939 1149 2482 450 78 2026 4003 1426 1302 1393
## [18109] 3408 1987 1738 1670 3453 213 3255 2557 639 840 927 87
## [18121] 1746 150 408 2859 159 381 8888 2413 962 2212 939 3656
## [18133] 255 680 2163 3113 738 3307 366 2106 903 306 1590 225
## [18145] 3093 633 7750 579 1597 1131 534 1386 1640 2067 1081 780
## [18157] 2061 798 751 519 405 234 434 447 3422 3241 4551 4066
## [18169] 1837 2104 375 924 531 324 2173 765 2689 951 7515 1713
## [18181] 1754 2583 3581 1602 909 309 2706 1800 6427 7032 4893 8529
## [18193] 1720 3962 729 2096 1919 5296 843 2182 592 783 2933 414
## [18205] 1563 258 882 918 855 4070 1565 420 2423 2491 3655 1839
## [18217] 458 4098 2352 1095 911 967 2326 3674 1217 1770 960 1434
## [18229] 381 360 270 3294 1694 877 769 1395 1809 345 345 900
## [18241] 2564 2748 2077 678 3345 1879 933 591 1682 2305 954 1413
## [18253] 1270 495 3784 2647 4359 66 135 2030 1641 2554 1446 804
## [18265] 408 540 567 3403 5006 522 2107 732 1050 420 666 12411
## [18277] 3232 1195 363 2324 333 486 888 927 2115 282 431 1311
## [18289] 417 3348 1648 3031 279 945 3932 384 762 1348 2251 1599
## [18301] 1878 1617 450 666 633 923 432 1182 2222 1736 1828 2016
## [18313] 1973 414 2816 1962 126 1256 4578 1820 2412 3481 575 474
## [18325] 1053 3376 774 321 945 5671 1182 2447 1170 693 1753 3156
## [18337] 983 1134 1227 2828 7052 3686 2490 2145 2907 510 2393 2346
## [18349] 288 1716 1026 662 1424 1044 5324 4409 1107 1417 495 618
## [18361] 3305 3013 796 384 2345 1656 1236 519 1668 2273 4500 1500
## [18373] 855 606 6296 1312 2190 2511 1588 2853 2933 411 750 444
## [18385] 582 3849 2879 363 402 1891 1398 2260 3026 1371 1233 2406
## [18397] 504 1632 1110 1878 2393 462 2157 2337 1014 1359 436 3173
## [18409] 1062 2644 462 1419 5815 487 3380 2378 549 1209 1451 1617
## [18421] 3716 3504 822 2625 729 1775 2428 4665 984 2308 783 1205
## [18433] 2477 1151 849 3560 5937 3330 2499 792 2737 3469 1737 4270
## [18445] 2388 1296 3591 156 2041 1611 1883 501 6397 702 2216 4407
## [18457] 3102 3994 2795 360 666 651 534 3519 2713 2764 439 2106
## [18469] 504 3657 1749 1694 2760 3009 1159 534 3768 564 2564 312
## [18481] 1636 2610 7020 837 3375 957 2058 822 479 1569 2496 372
## [18493] 1648 969 884 405 3734 823 801 991 2337 913 423 11564
## [18505] 2205 821 2270 527 4244 2257 1015 3580 1309 1143 6536 396
## [18517] 270 4520 510 483 1387 813 1017 2061 327 739 609 837
## [18529] 3794 1233 1545 375 708 2115 459 1591 2150 2478 4163 2208
## [18541] 405 666 1661 426 996 378 1253 1602 822 4861 2184 3839
## [18553] 5239 930 3072 5143 3806 288 1410 375 3510 1623 957 1863
## [18565] 4692 4072 2220 1580 1119 414 2550 1287 1743 318 2463 420
## [18577] 1314 498 1862 1191 498 441 135 3493 2367 387 3384 5060
## [18589] 1154 1355 1233 444 4081 783 2226 1925 3444 549 1201 5755
## [18601] 2062 3617 306 656 1061 5740 1645 909 459 3725 300 360
## [18613] 1281 1700 1040 5600 3138 2767 4868 3729 2145 3860 2503 414
## [18625] 462 2266 1304 852 441 402 180 1742 627 1689 4196 1057
## [18637] 3365 1716 3481 921 1089 1856 1859 1024 2840 1263 5984 417
## [18649] 939 2024 5144 945 4639 2108 3274 402 414 12500 3936 3644
## [18661] 150 582 933 939 1158 853 2891 2304 3020 714 465 402
## [18673] 1756 3755 318 1054 930 589 348 1149 2623 369 1163 2775
## [18685] 738 1188 6838 273 2646 1218 2139 948 1017 1921 2167 1920
## [18697] 2077 2008 545 4453 297 9669 1258 84 2250 5442 2103 975
## [18709] 1731 1539 372 5835 438 4831 963 408 4074 2228 3136 405
## [18721] 3300 612 2097 414 3215 1042 327 2396 1599 693 5295 2642
## [18733] 363 2975 15365 8415 3048 630 663 804 381 3976 885 737
## [18745] 939 237 4806 3688 5864 975 960 1388 3442 6092 969 603
## [18757] 207 585 444 2237 4964 4176 375 2071 3551 2769 246 811
## [18769] 411 402 1278 1425 1869 2418 72 3036 3534 471 267 489
## [18781] 168 1577 4345 1819 1889 249 4289 1017 1756 3627 859 3841
## [18793] 258 378 1163 1812 372 1752 3239 881 3913 927 2048 3463
## [18805] 702 4130 2401 3978 441 345 2495 3085 1410 1991 4682 1866
## [18817] 3077 2572 12595 495 456 1997 5938 2672 413 4470 1917 3073
## [18829] 387 3067 1383 141 1772 3413 618 3312 72 675 417 1841
## [18841] 616 744 1507 2460 414 4235 375 5634 901 2427 870 2094
## [18853] 710 1466 4715 4549 2176 807 2454 1213 543 4056 1047 4513
## [18865] 789 1825 2325 4993 2229 297 5843 2783 597 1053 3035 351
## [18877] 2345 624 8172 1677 1555 1733 5352 2758 1518 228 282 606
## [18889] 1167 1602 3509 8531 72 1723 1226 836 3137 2851 363 1112
## [18901] 1698 2417 410 2356 411 5444 7461 72 276 2690 1411 507
## [18913] 765 7606 1545 957 4222 231 672 1815 4883 5497 1772 1056
## [18925] 120 7660 2738 75 4393 907 827 717 9634 414 363 6251
## [18937] 486 246 2887 1583 3067 5279 4494 774 2058 360 2796 129
## [18949] 297 1203 2218 2855 2025 1973 2897 1198 6380 72 3504 1805
## [18961] 186 372 2799 5466 7744 84 2058 3729 4208 195 2699 1979
## [18973] 3579 2896 153 372 4193 3268 675 1198 348 533 2037 3162
## [18985] 921 366 4459 5007 1388 1597 2085 615 2819 3653 1896 78
## [18997] 945 723 1857 351 255 4412 5958 1983 1236 5896 540 789
## [19009] 2402 3697 372 1452 390 1057 9022 498 4096 276 849 1476
## [19021] 2841 1092 5895 267 1139 1150 630 5583 312 1238 2511 87
## [19033] 2656 462 72 393 1179 960 2864 3700 108 1191 429 1672
## [19045] 1086 930 3510 4960 945 702 3264 933 780 2248 2250 1177
## [19057] 3956 2386 1062 4246 294 2451 674 3178 6622 2440 1551 1273
## [19069] 171 4815 273 4412 2004 165 4361 357 936 414 327 1531
## [19081] 4365 2547 1630 195 540 87 2733 3886 918 437 456 480
## [19093] 1476 621 648 5457 3971 393 4086 2139 2127 1679 6772 666
## [19105] 4033 363 2691 3077 1976 1958 435 381 1796 1489 957 459
## [19117] 1668 915 375 2157 1559 9528 1167 933 3612 72 1266 1709
## [19129] 8344 72 3494 829 414 5475 4346 939 2459 2445 207 6033
## [19141] 963 3438 402 5227 417 2151 1960 1026 3499 4995 462 4093
## [19153] 2053 3615 2696 1755 2008 942 462 387 3258 993 381 420
## [19165] 237 1372 1110 345 1062 3080 1687 192 3138 375 2087 834
## [19177] 387 1346 1838 540 2114 2301 1327 5172 3087 297 555 1327
## [19189] 255 927 5522 983 456 1386 2538 1881 4125 2882 63 2971
## [19201] 315 1722 4104 2212 390 2998 5032 1120 375 84 2213 1585
## [19213] 102 381 375 6132 2054 9091 3235 357 4656 2262 534 2380
## [19225] 363 14226 4170 336 168 734 1814 4232 4572 2363 8849 3823
## [19237] 1236 2251 936 72 1902 1017 2518 1756 3104 465 486 3380
## [19249] 1767 3267 168 4974 1692 2025 411 396 3475 2120 1049 285
## [19261] 2154 3592 1723 1697 3167 831 246 3849 423 3583 2270 2098
## [19273] 255 2335 231 4551 2984 4222 2187 2315 1170 5165 4074 3529
## [19285] 1111 374 1575 375 1523 153 390 1899 540 2107 3454 735
## [19297] 358 936 1530 132 1044 575 3040 375 2632 9768 1971 3167
## [19309] 195 3100 255 3982 678 318 4470 531 3179 210 2214 939
## [19321] 1854 1986 1468 447 1410 8297 3997 3470 3217 3505 537 564
## [19333] 1846 1406 4560 1389 695 533 309 3201 2676 2496 1473 2404
## [19345] 2125 306 192 708 1705 2456 309 3236 1080 1215 5144 495
## [19357] 13472 222 2100 2430 2625 4434 939 2320 2100 1198 3052 8912
## [19369] 1017 2602 363 1979 4119 3838 675 1707 225 330 456 975
## [19381] 1746 3551 600 2364 924 5191 3682 1307 1826 2377 1338 1828
## [19393] 303 2499 939 2255 602 381 2223 273 384 1688 3139 624
## [19405] 381 948 1840 1380 192 4325 3273 1617 906 934 4123 4386
## [19417] 3476 948 1097 5630 501 72 2169 1297 2183 402 225 597
## [19429] 375 363 2179 884 183 3272 978 294 6211 2025 393 4521
## [19441] 947 363 171 2395 3032 255 318 6003 1914 8448 920 2611
## [19453] 4804 72 6691 4232 423 1755 2908 1784 2636 255 4145 2493
## [19465] 900 567 2269 2729 2885 72 969 2098 2002 3493 2241 390
## [19477] 381 1372 5211 7725 1617 1584 1098 72 309 1864 2882 1968
## [19489] 5928 4033 2322 930 1470 468 180 4148 2154 1901 3898 3346
## [19501] 1270 285 1509 2107 219 1008 384 1221 765 3515 3551 1217
## [19513] 414 420 3903 267 459 2907 939 72 4709 222 926 633
## [19525] 207 3014 5537 7877 1599 1028 435 234 2692 4074 1677 924
## [19537] 2332 1202 2114 2467 3156 1208 2332 72 1587 1921 5219 72
## [19549] 644 891 4325 2294 369 330 434 2752 642 3196 2147 980
## [19561] 2452 1666 603 2592 414 1155 1200 1182 4128 5613 1257 2644
## [19573] 456 1986 375 522 3472 2800 2729 954 2341 456 1606 2497
## [19585] 1553 809 594 1689 1266 372 6269 3687 6255 2638 192 702
## [19597] 465 312 1747 3682 438 216 1195 1971 936 2707 2272 477
## [19609] 2230 2355 4067 2604 342 2289 2613 1185 105 72 540 1091
## [19621] 1007 3936 4301 420 168 276 579 3324 909 2074 267 3206
## [19633] 8799 5576 2492 4222 1885 2157 381 1777 1081 330 270 570
## [19645] 3405 312 8553 1845 357 2342 231 2176 1221 3398 885 3315
## [19657] 2364 3083 2975 930 606 2766 4240 594 4325 1470 1485 648
## [19669] 664 689 7629 885 393 3891 2216 2633 11268 2451 3206 4074
## [19681] 2896 1167 707 384 2116 1358 6343 1673 2545 2107 4357 2791
## [19693] 459 2120 642 1382 10131 2617 2209 2041 3014 843 615 1881
## [19705] 4451 528 2824 1388 1402 955 450 2762 183 1702 3465 3553
## [19717] 72 1449 438 3540 897 1781 339 5058 1380 4101 294 2839
## [19729] 1462 786 3886 72 3183 648 666 1580 1664 2281 972 2433
## [19741] 2896 515 4645 1701 4160 2077 3168 300 1527 255 828 4883
## [19753] 543 1722 672 4070 420 387 909 84 3636 542 1170 939
## [19765] 189 1726 3462 504 516 405 1017 5400 501 1320 666 1865
## [19777] 4847 495 6243 2422 3129 2279 1245 1851 2362 953 636 4352
## [19789] 1077 2453 204 1688 765 426 6216 72 2827 2400 2477 5286
## [19801] 375 2394 261 2002 414 7103 3313 2222 2165 1820 327 363
## [19813] 3992 207 463 1436 1078 171 2238 2510 297 4775 72 1945
## [19825] 513 831 339 6275 456 1475 546 420 246 1877 1832 204
## [19837] 2304 945 930 876 2601 4278 3286 2619 375 3894 1879 2549
## [19849] 2054 1527 6371 2916 3977 2174 1971 515 495 2165 384 3922
## [19861] 255 327 2100 3039 3892 362 366 171 1812 1235 907 1891
## [19873] 1227 225 1884 171 141 1818 1410 810 1298 330 420 495
## [19885] 939 1251 469 3901 1772 4475 470 1668 132 3143 3515 1506
## [19897] 1623 528 2670 942 255 1444 5851 2599 330 3659 5146 2331
## [19909] 3284 393 2128 4150 4052 72 1355 3900 345 737 72 2566
## [19921] 393 1674 2397 1901 2117 1031 3576 927 3473 2676 234 1170
## [19933] 132 2247 4705 3554 1327 2525 372 1751 1346 297 3693 4646
## [19945] 1526 1136 3323 279 483 2459 399 2712 936 339 540 1748
## [19957] 159 2600 174 1162 4743 1781 2543 2073 1040 1427 2113 2707
## [19969] 3421 159 3297 492 1681 4002 1799 207 1406 5171 546 819
## [19981] 2493 2004 585 2654 7290 4010 2188 312 2432 2760 6313 2035
## [19993] 1504 550 2124 3480 615 2503 2943 471 72 3274 4189 10035
## [20005] 513 285 201 4935 2411 1364 648 357 141 6010 1283 2166
## [20017] 1194 2256 3706 300 876 72 746 1227 700 3398 2129 14886
## [20029] 366 2097 479 414 406 1110 3216 2740 1899 1317 7062 192
## [20041] 3113 2717 1465 930 531 2464 4293 2767 327 531 3711 705
## [20053] 1794 84 2659 999 372 5704 921 138 615 1724 2406 450
## [20065] 639 1294 4580 4838 7324 1389 1704 1083 525 162 237 1683
## [20077] 273 3141 1898 756 1712 1274 5967 486 573 1338 1026 684
## [20089] 357 1604 426 6246 3090 2649 1392 6303 1664 1439 422 1135
## [20101] 2274 2127 4314 255 3666 6917 1366 177 3787 5429 2198 5737
## [20113] 803 207 2123 339 927 6757 6145 1554 700 5177 1970 2241
## [20125] 2398 594 3048 2950 1044 3109 747 2741 3112 1047 2949 3134
## [20137] 195 1263 884 459 3882 1725 555 1628 1885 7770 1812 579
## [20149] 381 1394 2646 3560 8685 3432 4870 7294 3654 1509 4015 1257
## [20161] 1542 1467 72 1644 619 762 753 3637 5225 1824 1028 469
## [20173] 1652 4265 3788 4931 5616 888 1418 1285 1213 1054 4339 2241
## [20185] 6029 5519 15571 1782 346 1065 2594 3488 4164 111 4131 513
## [20197] 627 1352 72 5199 416 1651 1080 144 1784 1960 4321 7743
## [20209] 3828 1024 2055 357 297 447 2778 6394 2535 3328 303 3631
## [20221] 945 1475 4259 201 1265 3194 1546 2106 1378 5906 957 3376
## [20233] 2577 492 1141 387 4347 546 2355 681 3734 3106 1110 444
## [20245] 3966 4825 4525 5228 1652 2247 1503 3235 4284 401 5294 4424
## [20257] 687 4468 3762 477 2879 868 841 5190 4121 3628 381 3817
## [20269] 607 781 2405 363 393 3200 3234 1217 13749 6184 177 3606
## [20281] 4557 2511 2463 3919 1840 4765 3571 3752 975 942sampledist_genelength <- sample_distribution_mean(population, 25, 500) # chooses 25 random values inside the column chosen and repeats that 500 times and `sample_distribution_mean` computes their means
sampledist_genelength## [,1]
## [1,] 3794.20
## [2,] 2221.56
## [3,] 1813.20
## [4,] 2737.64
## [5,] 2975.92
## [6,] 2343.00
## [7,] 2642.28
## [8,] 2302.76
## [9,] 2570.56
## [10,] 2388.56
## [11,] 2143.32
## [12,] 2657.16
## [13,] 2525.16
## [14,] 2452.08
## [15,] 2609.56
## [16,] 2412.88
## [17,] 2427.88
## [18,] 2116.32
## [19,] 2475.24
## [20,] 2152.84
## [21,] 3588.88
## [22,] 2725.28
## [23,] 3418.00
## [24,] 3006.68
## [25,] 3161.16
## [26,] 3130.24
## [27,] 3084.92
## [28,] 2448.48
## [29,] 3045.80
## [30,] 2531.64
## [31,] 2664.00
## [32,] 2164.84
## [33,] 2538.88
## [34,] 2011.36
## [35,] 2981.96
## [36,] 2753.64
## [37,] 2371.48
## [38,] 2183.84
## [39,] 2554.96
## [40,] 2680.52
## [41,] 2427.04
## [42,] 2289.48
## [43,] 2664.32
## [44,] 3168.04
## [45,] 2280.08
## [46,] 2917.76
## [47,] 3153.48
## [48,] 2691.32
## [49,] 2428.04
## [50,] 2728.88
## [51,] 1882.12
## [52,] 2625.08
## [53,] 2763.00
## [54,] 2908.00
## [55,] 3000.32
## [56,] 2934.24
## [57,] 2795.44
## [58,] 2261.28
## [59,] 2438.24
## [60,] 2678.96
## [61,] 2087.08
## [62,] 2371.48
## [63,] 2428.20
## [64,] 2842.60
## [65,] 2822.52
## [66,] 1932.48
## [67,] 2725.88
## [68,] 2444.72
## [69,] 2697.04
## [70,] 2585.68
## [71,] 2732.28
## [72,] 2353.48
## [73,] 1967.20
## [74,] 2560.16
## [75,] 2601.04
## [76,] 2561.04
## [77,] 2912.16
## [78,] 2928.24
## [79,] 2554.84
## [80,] 2548.96
## [81,] 2266.60
## [82,] 2557.48
## [83,] 2837.80
## [84,] 2504.04
## [85,] 2476.56
## [86,] 2956.04
## [87,] 2787.52
## [88,] 3041.60
## [89,] 2318.12
## [90,] 3311.44
## [91,] 3239.20
## [92,] 2458.92
## [93,] 2971.28
## [94,] 2094.32
## [95,] 2566.36
## [96,] 2646.20
## [97,] 2208.12
## [98,] 1956.64
## [99,] 2452.24
## [100,] 2785.40
## [101,] 1789.96
## [102,] 1967.04
## [103,] 2871.60
## [104,] 2071.36
## [105,] 2117.16
## [106,] 2770.56
## [107,] 3036.00
## [108,] 1848.12
## [109,] 2836.12
## [110,] 2377.12
## [111,] 1923.36
## [112,] 2581.12
## [113,] 2761.48
## [114,] 2454.88
## [115,] 1890.64
## [116,] 2597.76
## [117,] 1772.64
## [118,] 3503.28
## [119,] 2189.20
## [120,] 2981.52
## [121,] 2460.32
## [122,] 2572.72
## [123,] 2631.84
## [124,] 2185.08
## [125,] 2719.24
## [126,] 2791.92
## [127,] 3261.44
## [128,] 2338.64
## [129,] 2533.68
## [130,] 2905.44
## [131,] 2213.48
## [132,] 2456.48
## [133,] 2916.08
## [134,] 2498.60
## [135,] 2830.28
## [136,] 2928.40
## [137,] 2000.32
## [138,] 2950.96
## [139,] 2553.08
## [140,] 2117.60
## [141,] 2696.76
## [142,] 2054.12
## [143,] 2614.00
## [144,] 2989.92
## [145,] 2224.64
## [146,] 1970.40
## [147,] 3332.20
## [148,] 2591.32
## [149,] 2729.84
## [150,] 2500.56
## [151,] 2767.52
## [152,] 2647.20
## [153,] 2171.76
## [154,] 2471.76
## [155,] 2875.24
## [156,] 2856.28
## [157,] 2660.32
## [158,] 2504.40
## [159,] 2548.56
## [160,] 2704.04
## [161,] 2694.92
## [162,] 3189.96
## [163,] 3146.40
## [164,] 2485.84
## [165,] 2872.84
## [166,] 2939.00
## [167,] 2731.16
## [168,] 2658.48
## [169,] 2854.84
## [170,] 2692.96
## [171,] 3093.68
## [172,] 2497.04
## [173,] 2720.28
## [174,] 2563.08
## [175,] 2796.44
## [176,] 3189.60
## [177,] 3011.44
## [178,] 2857.08
## [179,] 1595.36
## [180,] 2654.60
## [181,] 3360.12
## [182,] 3117.60
## [183,] 2066.84
## [184,] 2709.24
## [185,] 2580.44
## [186,] 2294.76
## [187,] 2379.16
## [188,] 2448.44
## [189,] 2541.12
## [190,] 2202.24
## [191,] 3012.36
## [192,] 3047.36
## [193,] 3078.84
## [194,] 2954.00
## [195,] 2315.00
## [196,] 2160.88
## [197,] 2639.76
## [198,] 2929.04
## [199,] 2840.84
## [200,] 2689.48
## [201,] 3537.88
## [202,] 2226.24
## [203,] 2615.96
## [204,] 1956.96
## [205,] 2670.04
## [206,] 2363.40
## [207,] 2610.36
## [208,] 2614.20
## [209,] 2284.68
## [210,] 2404.08
## [211,] 2195.16
## [212,] 2372.88
## [213,] 2255.40
## [214,] 2129.28
## [215,] 2766.80
## [216,] 2149.32
## [217,] 2625.28
## [218,] 2632.76
## [219,] 2950.04
## [220,] 2278.00
## [221,] 2196.32
## [222,] 3823.60
## [223,] 2414.16
## [224,] 2562.12
## [225,] 2254.48
## [226,] 2628.24
## [227,] 2545.16
## [228,] 2504.08
## [229,] 3224.96
## [230,] 2529.60
## [231,] 3161.76
## [232,] 2916.88
## [233,] 2830.72
## [234,] 2439.36
## [235,] 2452.00
## [236,] 3143.88
## [237,] 3186.68
## [238,] 2305.04
## [239,] 2643.72
## [240,] 1718.16
## [241,] 2185.48
## [242,] 2912.00
## [243,] 2922.20
## [244,] 2029.56
## [245,] 3198.88
## [246,] 2008.92
## [247,] 2705.20
## [248,] 2733.32
## [249,] 2742.20
## [250,] 2605.84
## [251,] 2320.28
## [252,] 1925.44
## [253,] 3495.84
## [254,] 3054.88
## [255,] 2256.56
## [256,] 2018.12
## [257,] 2725.16
## [258,] 1920.80
## [259,] 2845.48
## [260,] 3324.24
## [261,] 3174.12
## [262,] 2761.28
## [263,] 2073.88
## [264,] 1997.24
## [265,] 3588.24
## [266,] 3481.48
## [267,] 3009.12
## [268,] 2327.92
## [269,] 2350.56
## [270,] 2758.64
## [271,] 3069.76
## [272,] 3165.76
## [273,] 2784.60
## [274,] 3275.48
## [275,] 2409.52
## [276,] 2598.20
## [277,] 2052.32
## [278,] 2261.96
## [279,] 2110.00
## [280,] 3278.72
## [281,] 2524.28
## [282,] 2952.68
## [283,] 3813.60
## [284,] 3026.56
## [285,] 2731.76
## [286,] 2489.44
## [287,] 2738.76
## [288,] 2513.72
## [289,] 2013.48
## [290,] 2840.04
## [291,] 3109.60
## [292,] 2857.16
## [293,] 2395.00
## [294,] 2569.60
## [295,] 2939.04
## [296,] 2863.52
## [297,] 2508.72
## [298,] 2628.08
## [299,] 3326.24
## [300,] 2802.28
## [301,] 2823.92
## [302,] 1848.20
## [303,] 2989.40
## [304,] 3397.08
## [305,] 2132.76
## [306,] 2276.92
## [307,] 2207.84
## [308,] 2317.64
## [309,] 3075.80
## [310,] 2352.56
## [311,] 2108.76
## [312,] 1947.28
## [313,] 2821.64
## [314,] 2026.80
## [315,] 1973.24
## [316,] 2536.76
## [317,] 2543.52
## [318,] 1912.52
## [319,] 2397.76
## [320,] 2226.36
## [321,] 2331.20
## [322,] 2849.88
## [323,] 2709.36
## [324,] 3144.04
## [325,] 3218.04
## [326,] 2731.96
## [327,] 2620.88
## [328,] 2404.80
## [329,] 2189.52
## [330,] 2455.04
## [331,] 2663.16
## [332,] 2071.28
## [333,] 2213.60
## [334,] 2543.52
## [335,] 2492.92
## [336,] 2295.72
## [337,] 2959.12
## [338,] 1992.12
## [339,] 2767.44
## [340,] 2411.12
## [341,] 2175.04
## [342,] 2829.84
## [343,] 6267.16
## [344,] 2352.08
## [345,] 2905.40
## [346,] 2171.20
## [347,] 2366.64
## [348,] 2465.12
## [349,] 1814.68
## [350,] 2826.52
## [351,] 2640.40
## [352,] 2718.52
## [353,] 2109.16
## [354,] 2779.88
## [355,] 2676.08
## [356,] 2117.80
## [357,] 3306.48
## [358,] 1940.36
## [359,] 2619.52
## [360,] 2349.44
## [361,] 2685.36
## [362,] 2580.12
## [363,] 2262.12
## [364,] 2187.24
## [365,] 2321.12
## [366,] 2655.76
## [367,] 2775.32
## [368,] 2415.88
## [369,] 3229.24
## [370,] 2456.60
## [371,] 2000.32
## [372,] 2426.60
## [373,] 2280.08
## [374,] 2729.08
## [375,] 2865.56
## [376,] 3178.72
## [377,] 2383.44
## [378,] 2690.16
## [379,] 2976.68
## [380,] 2397.76
## [381,] 2672.44
## [382,] 2514.92
## [383,] 2509.04
## [384,] 2616.40
## [385,] 2552.20
## [386,] 3284.80
## [387,] 2342.72
## [388,] 3005.96
## [389,] 2143.12
## [390,] 3438.60
## [391,] 1959.28
## [392,] 2019.28
## [393,] 2735.04
## [394,] 2662.72
## [395,] 2356.08
## [396,] 2249.24
## [397,] 2692.24
## [398,] 2104.28
## [399,] 2711.24
## [400,] 3576.12
## [401,] 2863.16
## [402,] 2743.56
## [403,] 2031.24
## [404,] 3167.48
## [405,] 2904.68
## [406,] 1994.56
## [407,] 2612.68
## [408,] 2365.36
## [409,] 2684.04
## [410,] 2091.64
## [411,] 2680.92
## [412,] 3267.00
## [413,] 2210.28
## [414,] 2179.88
## [415,] 2582.44
## [416,] 1982.64
## [417,] 3345.04
## [418,] 2977.92
## [419,] 2272.92
## [420,] 3006.92
## [421,] 2637.08
## [422,] 2984.96
## [423,] 2923.68
## [424,] 3016.04
## [425,] 3176.00
## [426,] 2799.92
## [427,] 3367.84
## [428,] 2825.84
## [429,] 2594.56
## [430,] 2353.60
## [431,] 2783.72
## [432,] 2313.76
## [433,] 2869.72
## [434,] 2704.80
## [435,] 2201.16
## [436,] 2452.48
## [437,] 2175.04
## [438,] 2667.52
## [439,] 2499.80
## [440,] 2892.84
## [441,] 2242.20
## [442,] 2856.00
## [443,] 2768.84
## [444,] 2741.88
## [445,] 2614.56
## [446,] 2566.12
## [447,] 2429.20
## [448,] 2422.32
## [449,] 2542.28
## [450,] 2884.08
## [451,] 3357.68
## [452,] 2750.28
## [453,] 2389.84
## [454,] 2358.04
## [455,] 3162.92
## [456,] 2368.12
## [457,] 2148.60
## [458,] 2387.16
## [459,] 3179.48
## [460,] 2522.12
## [461,] 2290.40
## [462,] 2047.72
## [463,] 2541.60
## [464,] 1933.32
## [465,] 2064.80
## [466,] 2375.28
## [467,] 2679.36
## [468,] 2399.36
## [469,] 2594.84
## [470,] 2791.40
## [471,] 2838.48
## [472,] 2842.00
## [473,] 2806.88
## [474,] 2916.16
## [475,] 2322.48
## [476,] 3040.52
## [477,] 2062.56
## [478,] 2396.12
## [479,] 2239.76
## [480,] 2776.48
## [481,] 2911.40
## [482,] 1936.44
## [483,] 3768.68
## [484,] 2576.72
## [485,] 2126.88
## [486,] 2329.44
## [487,] 2377.88
## [488,] 2646.24
## [489,] 2365.48
## [490,] 2797.28
## [491,] 2939.64
## [492,] 2417.40
## [493,] 2497.40
## [494,] 2423.56
## [495,] 2554.32
## [496,] 2667.72
## [497,] 2019.28
## [498,] 3069.76
## [499,] 2667.36
## [500,] 2407.56# plot
hist(population,
main = "Population (Gene Lengths)",
col = "lightblue")
hist(sampling_dist,
main = "Sampling Distribution of the Mean",
col = "lightgreen")
Function Description:
length() length of a vector (calculate n)
var() variance of a vector
sd() standard deviation from a vector
sqrt() square root of a vector
sample() randomly sample elements from a vector
== ‘equal’ in a conditional test
!= ‘not equal’ in a conditional test
< ‘less than’ in a conditional test
> ‘more than’ in a conditional test
<= ‘less than or equal to’ in a conditional test
>= ‘greater than or equal to’ in a conditional test
& ‘and’ for more than one conditional test
| ‘or’ for more than one conditional test
Try these out and see how they work before you move on to the lab.Lab 3
3.1 Binomial DIstributions (Probabilities) Equation:
\[ pr[(n / k)] = (n/k) p^k(1-p )^ (n-k) \] n = total k = number of event 1 p = probability of event 1 happening n-k = number of event 2 #### 3.1 cont. Binomial Probabilities
# lets do the lab!
# binomial probabilities (probability that atleast 1 of the chosen fish is male and 1 is female out of 5)
pr.all.male <- choose(5,0) * (0.5^0) * (1-0.5)^(5-0) # pr that all 5 fish are male
pr.all.female <- choose(5,0) * (0.5^0) * (1-0.5)^(5-0) # pr that all 5 fish are female
1-pr.all.male - pr.all.female # pr that atleast 1 male and 1 female## [1] 0.9375 # probability that 2 are male and 3 are female out of 5 total fish
pr.3.female <- choose(5,3) * (0.5^3) * (1-0.5)^(5-3)
pr.3.female## [1] 0.3125 # about a 1/3 chance.
# understanding what's happening:
# (5,3) number of ways that we cna get 3 females from 5 fish.
# (0.5^3) pr of getting 3 females
# (1-0.5)^(5-3) pr of getting 2 males3.2 Binomial Distributions
# we can use `dbinom(n,k,p)` where d = density (height of the binomial curve)
dbinom(2,5,0.5)## [1] 0.31253.3 Hypothesis Testing
childhood leukemia rate = 806million cases / year
we found 97/100,000 expected = 81/100,000
3.3.1 Tangent: Scientific Notation
# R uses `e` for the scientific notation operator
806/1000000## [1] 0.000806 # the same thing as
806/1e6## [1] 0.000806let p be be the probability that of a child contracting leukemia then k events of probability p out of a total n trials is given by the binomial distribution
we’ll use the dbinom(n,k,p) function
then we will find the probability of getting exactly 80, 90, or 97 cases of leukemia in a population of 100,000 peopl if each has a 806/100,000:
# probability of getting 80 cases
dbinom(80, 1e5, 806/1e6)## [1] 0.04447474# p of 90 cases
dbinom(90, 1e5, 806/1e6)## [1] 0.02477914# p of 97 cases
dbinom(97, 1e5, 806/1e6)## [1] 0.008449823x <- 0:150
dbinom(x, 1e5, 806/1e6)## [1] 9.588496e-36 7.734562e-34 3.119512e-32 8.387681e-31 1.691430e-29
## [6] 2.728676e-28 3.668295e-27 4.226933e-26 4.261772e-25 3.819426e-24
## [11] 3.080664e-23 2.258881e-22 1.518272e-21 9.419749e-21 5.426753e-20
## [16] 2.917919e-19 1.470867e-18 6.978147e-18 3.126648e-17 1.327188e-16
## [21] 5.351865e-16 2.055343e-15 7.534519e-15 2.641906e-14 8.877516e-14
## [26] 2.863732e-13 8.882511e-13 2.653043e-12 7.641070e-12 2.124808e-11
## [31] 5.711600e-11 1.485768e-10 3.744136e-10 9.149216e-10 2.169936e-09
## [36] 4.999382e-09 1.119817e-08 2.440474e-08 5.178632e-08 1.070707e-07
## [41] 2.158373e-07 4.244769e-07 8.149143e-07 1.528081e-06 2.800219e-06
## [46] 5.017341e-06 8.794386e-06 1.508666e-05 2.534153e-05 4.169783e-05
## [51] 6.723817e-05 1.062952e-04 1.648064e-04 2.507018e-04 3.742991e-04
## [56] 5.486643e-04 7.898870e-04 1.117203e-03 1.552893e-03 2.121890e-03
## [61] 2.851022e-03 3.767865e-03 4.899185e-03 6.269013e-03 7.896429e-03
## [66] 9.793199e-03 1.196144e-02 1.439154e-02 1.706053e-02 1.993118e-02
## [71] 2.295200e-02 2.605813e-02 2.917343e-02 3.221344e-02 3.508920e-02
## [76] 3.771169e-02 3.999648e-02 4.186837e-02 4.326554e-02 4.414295e-02
## [81] 4.447474e-02 4.425537e-02 4.349962e-02 4.224121e-02 4.053047e-02
## [86] 3.843112e-02 3.601641e-02 3.336513e-02 3.055747e-02 2.767134e-02
## [91] 2.477914e-02 2.194517e-02 1.922388e-02 1.665879e-02 1.428226e-02
## [96] 1.211574e-02 1.017071e-02 8.449823e-03 6.948408e-03 5.656001e-03
## [101] 4.557898e-03 3.636586e-03 2.873030e-03 2.247734e-03 1.741603e-03
## [106] 1.336575e-03 1.016053e-03 7.651687e-04 5.708917e-04 4.220299e-04
## [111] 3.091449e-04 2.244121e-04 1.614475e-04 1.151201e-04 8.136556e-05
## [116] 5.700759e-05 3.959681e-05 2.726814e-05 1.861874e-05 1.260595e-05
## [121] 8.463745e-06 5.635611e-06 3.721693e-06 2.437758e-06 1.583870e-06
## [126] 1.020836e-06 6.527207e-07 4.140581e-07 2.606061e-07 1.627511e-07
## [131] 1.008568e-07 6.202320e-08 3.785264e-08 2.292747e-08 1.378347e-08
## [136] 8.224843e-09 4.871775e-09 2.864579e-09 1.672136e-09 9.690413e-10
## [141] 5.575649e-10 3.185320e-10 1.806913e-10 1.017816e-10 5.693384e-11
## [146] 3.162728e-11 1.744874e-11 9.560870e-12 5.203338e-12 2.812793e-12
## [151] 1.510373e-12plot(x, dbinom(x, 1e5, 806/1e6), type="h", xlab = "Number of Cases Per 100,000", ylab = "Binomial Density")
abline(v = 97, col = "red") #v = N sets a vertical line at x = N
plot(x, pbinom(x, 1e5, 806/1e6), type = "h", xlab = "number of cases per 100,000", ylab = "Cumulative Probability")
probability 97 or less cases is very high
pbinom(97, 1e5, 806/1e6)## [1] 0.9671568probability where there are x or more cases by adding
lower.tail=F
plot(x, pbinom(x, 1e5, 806/1e6, lower.tail=F), type="h",
xlab = "Number of Cases per 100,000",
ylab = "Cumulative Probability ")
probability of 97 or more cases (we already knew this from the previous graph becaue Pr shoudl add up to 1.0)
pbinom(97, 1e5, 806/1e6, lower.tail = F)## [1] 0.03284318P-value!
3.4 Probability of Null Hypothesis
pbinom(70, 1e5, 806/1e6)## [1] 0.1289692pbinom(60, 1e5, 806/1e6)## [1] 0.01004683pbinom(63, 1e5, 806/1e6)## [1] 0.02498289we need about 63 cases to reject the null
there is an easier way to figure this out: we can use the qunatile function: qbinom(). this function retunr the smallest value of x such that f(x) >= P where f is the distribution
qbinom(0.025, 1e5, 806/1e6)## [1] 64qbinom(0.025, 1e5, 806/1e6, lower.tail=F)## [1] 99# or you could do
qbinom(0.975, 1e5, 806/1e6)## [1] 99this shows us that to get a P value where we can reject the null, we need to be in between 64 and 99 cases.
par(mfrow=c(1,2))
prob <- pbinom(x, 1e5, 806/1e6)
density <- dbinom(x, 1e5, 806/1e6)
inner <- prob >= 0.025 & prob <= 0.0975
outer <- prob <= 0.025 | prob >= 0.975
plot(density[inner] ~ x[inner], type = "h", xlim = range(x), ylim = range(density),
xlab = "Number of Cases",
ylab = "Probability Density",
main = "Fail To Reject The Null")
plot(density[outer] ~ x[outer], type = "h", xlim = range(x), ylim = range(density),
xlab = "Number of Cases",
ylab = "",
main = "Reject The Null")
Lab 3 Assignment
Whitlock and Schluter, 5.21
The human genome is composed of the four DNA nucleotides: A, T, G, and C. Some regions of the human genome are extremely G–C rich (i.e., a high proportion of the DNA nucleotides there are guanine and cytosine). Other regions are relatively A–T rich (i.e., a high proportion of the DNA nucleotides there are adenine and thymine). Imagine that you want to compare nucleotide sequences from two regions of the genome. Sixty percent of the nucleotides in the first region are G–C (30% each of guanine and cytosine) and 40% are A–T (20% each of adenine and thymine). The second region has 25% of each of the four nucleotides.
5.21 a.
If you choose a single nucleotide at random from each of the two regions, what is the probability that they are the same nucleotide?
# region 1 probabilities
G1 <- 0.30
C1 <- 0.30
A1 <- 0.20
T1 <- 0.20
# region 2 probabilities
G2 <- 0.25
C2 <- 0.25
A2 <- 0.25
T2 <- 0.25
# probability of choosing the same nucleotides in each region
pr_same <- (G1*G2) + (C1*C2) + (A1*A2) + (T1*T2)
pr_same## [1] 0.255.21 b.
Assume that nucleotides over a single strand of DNA occur independently within regions and that you randomly sample a three-nucleotide sequence from each of the two regions. What is the chance that these two triplets are the same?
# they occur randomly so we will assume 0.25Pr for each nucleotide
pr_same_triplet <- ((0.25)^3) * ((0.25)^3)
pr_same_triplet## [1] 0.0002441406Whitlock and Schluter, 5.30
During the Manhattan Project, the physicist Enrico Fermi asked Leslie R. Groves, the general in charge, “How do you define a ‘great general’?” General Groves replied, “Any general who wins five battles in a row is great.” He went on to say that only about 3% of generals are great. If battles are won entirely at random with a probability of 0.50 per side, what fraction of generals engaging in exactly five battles would be great by this definition? How does this compare to the percentage given by the general?
# general gave 3% of general's are "great"
pr_winning_1of1 <- 0.50
pr_winning_5of5 <- (pr_winning_1of1)^5
pr_winning_5of5## [1] 0.03125The general is very accurate in his description that about 3% of generals are “great” by the standards of winning 5/5 battles in a row.
Whitlock and Schluter, 5.36
Some people are hypersensitive to the smell of asparagus, and can even detect a strong odor in the urine of a person who has recently eaten asparagus. This trait turns out to have a simple genetic basis. An individual with one or two copies of the A allele at the gene (AA or Aa genotypes) can smell asparagus in urine, whereas a person with two copies of the alternative “a” allele (aa genotypes) cannot (Online Mendelian Inheritance in Man 2019). Assume that men and women in the population have the same allele frequencies at the asparagus-smelling gene and that marriage and child production are independent of the genotype at the gene. In the human population, 5% of alleles are A and 95% are a.
5.36 a.
What is the probability that a randomly sampled individual from the population has two copies of the a allele (that is, that it has an aa genotype)?
A_allele <- 0.05
a_allele <- 0.95
aa_genotype <- (0.95)^2
aa_genotype## [1] 0.9025about a 90% probability
5.36 b.
What is the probability that both members of a randomly sampled married couple (man and woman) are aa at the asparagus-smelling gene?
pr_m_w_aa_genotype <- (aa_genotype)^2
pr_m_w_aa_genotype## [1] 0.8145062about 81.5%
5.36 c.
What is the probability that both members of a randomly sampled married couple (man and woman) are heterozygotes at this locus (meaning that each person has one allele A and one allele a)?
pr_m_w_Aa_genotype <- (A_allele * a_allele)^2
pr_m_w_Aa_genotype## [1] 0.00225625about 0.23%
5.36 d.
Consider the type of couple described in (c). What is the probability that the first child of such a couple also has one A allele and one a allele (is a heterozygote)? Remember that the child must receive exactly one allele from each parent.
pr_child_heterozygote <- (A_allele * a_allele) + (a_allele * A_allele) # pr of getting each allele from parent 1 and parent 1. using addition rule and multiplication rule
pr_child_heterozygote## [1] 0.095Whitlock and Schluter, 7.1
Calculation practice: Binomial probabilities. Enterococcus bacteria are part of the normal intestinal flora of humans, but some strains can cause disease. In U.S. hospitals, 30% of pathogenic isolates are resistant to the antibiotic vancomycin (Wenzel 2004). Assume that seven independent pathogenic isolates have been extracted from patients and tested for resistance. Using the following steps, calculate the probability that five or more of the isolates are resistant to vancomycin:
we know 30% of pathogenic isolates are resistant to vancomycin. we will be using binomial distributions: \[ pr[(n / k)] = (n/k) p^k(1-p )^ (n-k) \] n = total k = number of event 1 p = probability of event 1 happening n-k = number of event 2
n <- 7
p <- 0.30
k5 <- 5
k6 <- 6
k7 <- 7
pr_5_resistant <- choose(n,k5) * p^5 * (1-p)^(n-k5)
pr_6_resistant <- choose(n,k6) * p^6 * (1-p)^(n-k6)
pr_7_resistant <- choose(n,k7) * p^7 * (1-p)^(n-k7)
pr_atleast_5_resistant <- pr_5_resistant + pr_6_resistant + pr_7_resistant
pr_atleast_5_resistant## [1] 0.02879557.1 a.
What are the assumptions of the binomial distribution? Does this example match those assumptions?
the assumptions fo the binomial distribution are that we have n number of independent random trials, and the probaility of success in each trial is equal. Yes this example does match the assumptions because we have n = 7 independent trials and a fixed P of 0.30 for resistance.
7.1 b.
Using the binomial distribution, what is the probability of success for this example? What is 𝑛?
p = 0.30 and n = 7
7.1 c.
Calculate the probability of exactly five resistant isolates using the binomial distribution.
pr_5_resistant## [1] 0.02500477.1 d.
Calculate the probability of exactly six resistant isolates, and calculate the probability of exactly seven resistant isolates.
pr_6_resistant # pr of exactly 6 resistant ## [1] 0.0035721pr_7_resistant # pr of exactly 7 resistant ## [1] 0.00021877.1 e.
Using the addition principle, combine the information from the previous answers to calculate the probability of five or more resistant isolates out of seven.
pr_atleast_5_resistant## [1] 0.0287955Whitlock and Schluter, 7.14
Twelve six-sided dice are rolled. Assume all of the dice are fair.
7.14 a.
How many threes do you expect, on average, out of these 12 rolls?
n_2 <- 12
pr_2 <- 1/6
k_2 <- 0:12
# for 12 rolls:
pr_a <- choose(n_2,k_2) * pr_2^k_2 * (1-pr_2)^(n_2-k_2)
sum(pr_a * k_2) # average times the number 3 will roll on a 6 sided die out of 12 rolls## [1] 27.14 b.
What is the probability of rolling no threes out of the 12 rolls?
pr_none <- choose(n_2,0) * pr_2^0 * (1-pr_2)^(n_2-0)
pr_none## [1] 0.11215677.14 c.
What is the probability of rolling exactly 3 threes out of the 12 rolls?
pr_3times <- choose(n_2,3) * pr_2^3 * (1-pr_2)^(n_2-3)
pr_3times## [1] 0.19739577.14 d.
On average, what is the sum of the number of spots showing on top of the 12 dice?
2 * sum(1:6)## [1] 427.14 e.
What is the probability that all the dice show only ones and sixes (in any proportion)?
pr_roll1 <- 1/6
pr_roll6 <- 1/6
pr_1and6 <- (pr_roll1 + pr_roll6)^12
pr_1and6## [1] 1.881676e-06Whitlock and Schluter, 7.28
refer to 7.1
7.28 a.
Produce a graph illustrating the probability distribution of the number of vancomycin-resistant isolates when seven isolates are randomly sampled from the U.S. hospital Enterococcus population.
pr_7_resistant## [1] 0.0002187x <- 0:7
dbinom1 <- dbinom(x, size = n, prob = p)
dbinom1## [1] 0.0823543 0.2470629 0.3176523 0.2268945 0.0972405 0.0250047 0.0035721
## [8] 0.0002187plot(x, dbinom1, type = "h", xlab = "Number of Resistant Isolates", ylab = "Probability", main = "Binomial Distribution of vanc-resistant Isolates", col = "red")
7.28 b.
Does the distribution in (a) represent an ordinary sampling distribution or, more specifically, a null sampling distribution? Explain your answer.
this represents a normal sampling distribution because we are testing n = 7 under known P = 0.30. we do not have a null to test against.
Lab 04
Whitlock and Schluter 7.1
I couldn’t remember if you said to include this problem or not because it was in the previous lab so I copied over my work from lab 03 just in case.
Calculation practice: Binomial probabilities. Enterococcus bacteria are part of the normal intestinal flora of humans, but some strains can cause disease. In U.S. hospitals, 30% of pathogenic isolates are resistant to the antibiotic vancomycin (Wenzel 2004). Assume that seven independent pathogenic isolates have been extracted from patients and tested for resistance. Using the following steps, calculate the probability that five or more of the isolates are resistant to vancomycin:
we know 30% of pathogenic isolates are resistant to vancomycin. we will be using binomial distributions: \[ pr[(n / k)] = (n/k) p^k(1-p )^ (n-k) \] n = total k = number of event 1 p = probability of event 1 happening n-k = number of event 2
n <- 7
p <- 0.30
k5 <- 5
k6 <- 6
k7 <- 7
pr_5_resistant <- choose(n,k5) * p^5 * (1-p)^(n-k5)
pr_6_resistant <- choose(n,k6) * p^6 * (1-p)^(n-k6)
pr_7_resistant <- choose(n,k7) * p^7 * (1-p)^(n-k7)
pr_atleast_5_resistant <- pr_5_resistant + pr_6_resistant + pr_7_resistant
pr_atleast_5_resistant## [1] 0.02879557.1 a.
What are the assumptions of the binomial distribution? Does this example match those assumptions?
the assumptions fo the binomial distribution are that we have n number of independent random trials, and the probaility of success in each trial is equal. Yes this example does match the assumptions because we have n = 7 independent trials and a fixed P of 0.30 for resistance.
7.1 b.
Using the binomial distribution, what is the probability of success for this example? What is 𝑛?
p = 0.30 and n = 7
7.1 c.
Calculate the probability of exactly five resistant isolates using the binomial distribution.
pr_5_resistant## [1] 0.02500477.1 d.
Calculate the probability of exactly six resistant isolates, and calculate the probability of exactly seven resistant isolates.
pr_6_resistant # pr of exactly 6 resistant ## [1] 0.0035721pr_7_resistant # pr of exactly 7 resistant ## [1] 0.00021877.1 e.
Using the addition principle, combine the information from the previous answers to calculate the probability of five or more resistant isolates out of seven.
pr_atleast_5_resistant## [1] 0.0287955Whitlock and Schluter 7.2
Calculation practice: Binomial test. Do people typically use a particular ear preferentially when listening to strangers? Marzoli and Tomassi (2009) had a researcher approach and speak to strangers in a noisy nightclub. An observer scored whether the person approached turned either the left or right ear toward the questioner. Of 25 participants, 19 turned the right ear toward the questioner and 6 offered the left ear. Is this evidence of population difference from 50% for each ear? Use the following steps to help answer this question with a binomial test. Assume that the assumptions of the binomial test are met in this study.
a. State the null and alternative hypotheses for the binomial test.
Null hypothesis: There is no statistical difference between which ear individuals choose to listen to a conversation with. Distribution of data should be 50/50. Pr = 0.50.
Alternative hypothesis: There is a difference between which ear individuals choose to listen to a conversation with. Distribution will be slanted towards one ear or the other. Pr does not = 0.50.
b. What is the observed value of the test statistic?
observed: 25 total participants, 19 used right ear, 6 used left ear.
c. Under the null hypothesis, calculate the probability of getting exactly 19 right ears and 6 left ears.
total <- 25
right <- 19
left <- 6
#pr = 1/2 (50/50 chance assuming random choice between 2 variables)
# n = total
# k = number of event 1
# pr = probability of event 1 happening
# n-k = number of event 2
# choose(n,k) * pr^k * (1-pr)^(n-k)
pr19 <- choose(25,19) * (0.50)^19 * (1-0.50)^(25-19) # probability that 19/25 people will use their right ear
prL <- choose(25,6) * (0.50)^6 * (1-0.50)^(25-6) # probability that 6/25 will use left ear
sum(pr19, prL) # probability of getting exactly 19 right ear responses and 6 left ear responses. ## [1] 0.01055598d. List all possible outcomes in which the number of right ears is greater than the 19 observed.
all possible outcomes right ear is > 19 = 20,21,22,23,24,25
e. Calculate the probability under the null hypothesis of each of the extreme outcomes listed in (d).
n <- 25
# k is various
pr <- 0.50
pr20 <- choose(n,20) * pr^20 * (1-pr)^(n-20)
pr21 <- choose(n,21) * pr^21 * (1-pr)^(n-21)
pr22 <- choose(n,22) * pr^22 * (1-pr)^(n-22)
pr23 <- choose(n,23) * pr^23 * (1-pr)^(n-23)
pr24 <- choose(n,24) * pr^24 * (1-pr)^(n-24)
pr25 <- choose(n,25) * pr^25 * (1-pr)^(n-25)
pr20to25R <- c(pr20,pr21,pr22,pr23,pr24,pr25)
pr20to25R## [1] 1.583397e-03 3.769994e-04 6.854534e-05 8.940697e-06 7.450581e-07
## [6] 2.980232e-08f. Use the addition rule to calculate the probability of 19 or more right-eared turns under the null hypothesis.
pr_atleast_19r <- sum(pr19, pr20,pr21,pr22,pr23,pr24,pr25)
pr_atleast_19r## [1] 0.007316649g Give the two-tailed 𝑃-value based on your answer to (f).
#pbinom(x)
sum(dbinom(19:25, size = 25, prob = 0.50)) # P-value of getting 19 or more right ear turns out of 25 under H(0)## [1] 0.007316649h&i Interpret this 𝑃-value. What does it indicate?
The P-value is less than 0.05 in a two tailed test. This means there is a statistical difference between turning right ear or left ear. This suggests more people rely on their right ear to hear the start of a conversation compared to using their left ear.
Whitlock and Schluter 7.12
Mice have litters of several pups at once. The pups are arranged in a line within the mother’s uterus, so many fetuses lie between two of their siblings. It has been shown that female fetuses located between two male fetuses (2M) experience higher testosterone levels than those adjacent to no male fetuses (0M), because the hormone is produced by the males and diffuses across the fetal membranes and through the amniotic fluid to adjacent females. The higher fetal testosterone levels are known to have several effects on the females later in life, including increased aggression levels, growth rates, and even which eye opens first. One study wanted to measure whether fetal testosterone levels affected how attractive these female mice were to male mice as adults (vom Saal and Bronson 1980). Twenty-four male mice were given a choice between a female that was 0M and another unrelated female that was 2M. (Both the males and females were randomly chosen from their populations.) Each male was placed on a platform, and he could jump into the cage of whichever female he preferred. Nineteen of the 24 males chose the 0M female
Is this evidence that the males prefer one type of female over the other?
This alone is not evidence that males prefer one type of female over the other. But, we can do some statistical tests to find out.
# n = 24
# k = 19
# pr = 0.50 assuming equal probability to choose one or another female
# choose(n,k) * pr^k * (1-pr)^(n-k)
pr_19 <- choose(24,19) * 0.50^19 * (1-0.50)^(24-19)
pr_19 # probability that 19/24 males choose the 0M female mouse## [1] 0.002533436sum(dbinom(19:24, size = 24, prob = 0.50)) # p value for vectors greater than 18. ## [1] 0.003305376Our P-value is less than 0.05 for values 19-24. This indicates that there is a statistical difference between which female the males proffered over the other. This shows there is evidence that males prefer the M0 female over the M2.