hc.score: Compute Empirical Higher Criticism Scores and Corresponding...

Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/hc.score.R

Description

hc.score computes the empirical higher criticism (HC) scores from p-values.

hc.thresh determines the HC decision threshold by searching for the p-value with the maximum HC score.

Usage

1
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hc.score(pval)
hc.thresh(pval, alpha0=1, plot=TRUE)

Arguments

pval

vector of p-values.

alpha0

look only at a fraction alpha0 of the p-values (default: 1, i.e. all p-values).

plot

show plot with HC decision threshold.

Details

Higher Criticism (HC) provides an alternative means to determine decision thresholds for signal identification, especially if the signal is rare and weak.

See Donoho and Jin (2008) for details of this approach and Klaus and Strimmer (2012) for a review and connections with FDR methdology.

Value

hc.score returns a vector with the HC score corresponding to each p-value.

hc.thresh returns the p-value corresponding to the maximum HC score.

Author(s)

Bernd Klaus and Korbinian Strimmer (https://strimmerlab.github.io).

References

Donoho, D. and J. Jin. (2008). Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Proc. Natl. Acad. Sci. USA 105:14790-15795.

Klaus, B., and K. Strimmer (2013). Signal identification for rare and weak features: higher criticism or false discovery rates? Biostatistics 14: 129-143. <DOI:10.1093/biostatistics/kxs030>

See Also

fdrtool.

Examples

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10
11
# load "fdrtool" library
library("fdrtool")

# some p-values
data(pvalues)

# compute HC scores
hc.score(pvalues)

# determine HC threshold
hc.thresh(pvalues)

Example output

   [1] 43.7843607 19.7379067 30.5645913 29.8866067 41.0174886 42.1606327
   [7] 28.5329379 41.1305575 45.1103602 35.6922386 45.5118553 26.8401891
  [13] 34.7329564 33.3330034 42.5919154 43.9152561 45.6720553 41.0180411
  [19]  5.7589542 45.6040321 12.0403272 38.2059613 44.7623910  8.4673051
  [25] 13.4352730 22.4386742 26.0709024 16.8383663 37.4734661 45.1197319
  [31] 30.8980235 20.8491227 18.0019038 39.9278509 13.2825148 39.6092957
  [37] 43.7748603 39.6828518 40.6121742 42.5737583 44.9403303 27.2633816
  [43] 45.4325659 43.9226949 28.4289932 37.0044041 27.1327666 35.2711056
  [49] 31.0190351 43.9122197 27.8047832 37.9614110 37.0782874 45.9579451
  [55] 31.2572862 39.9082375 44.6322155  8.1622797 29.2310790 43.6874121
  [61] 42.1531486 23.9518935 40.4664896  4.3633487 42.7906829  4.8024996
  [67] 36.8089692 45.6695492 15.4796308 19.8043007 33.8597228 16.3530878
  [73]  9.1050941 37.3690212 26.4935594 39.8622249 21.4381360  6.0984905
  [79] 45.3439842 28.1938174  4.4774113 44.8557314 45.3696339 36.5591728
  [85] 22.3196897 23.5683921 42.1505113 38.0993929 36.1904058 31.8694023
  [91] 34.2157298 43.3348665 44.7771963 45.5145216 41.2164668 41.7038269
  [97] 32.5408272 39.9464716 32.5330780 15.5154293 44.8194864 41.4442634
 [103] 30.3884174 45.6755494 39.9960234 45.2548803 14.0180657 39.2522175
 [109] 19.6955990 29.2087859  5.3019827 41.0520831 31.1320457 34.3250320
 [115] 44.7043665 45.6232441 40.1708835 29.2985416 15.4096867 41.9733248
 [121] 29.0191047 45.3498017 45.6217461 15.8453024 35.2321251 17.5221792
 [127] 18.0549508 38.7200562 18.9449089 43.7130796 43.7335256 28.0319794
 [133] 34.5926249 22.2425748 39.9949226 45.5174605 32.6326714 10.0719692
 [139] 35.2102475 44.9196792 23.4583374 16.8055069 38.9444510 45.6089088
 [145] 40.9973216 37.4911274 45.5554355 10.6687733 45.5955257 42.8690741
 [151] 35.2084553 23.3802636 42.5427794  0.3334730 20.6662344 39.6853314
 [157] 44.7606551 27.7664135 31.2703745 44.1603775 30.7240685 40.0344384
 [163] 27.3074515 22.1395012 16.5756956 15.3051073 41.5313304 42.9515266
 [169] 45.2901069 42.3475579 43.1470071 41.2309676 23.6868254 22.8803120
 [175] 37.7759874 33.9883420 41.7371924  3.2617393 42.8388890 23.2182420
 [181] 38.9615662 44.9150703 43.8367361 41.7461978 44.4848354 41.9311510
 [187] 45.3968685 29.3871114 38.1575533 37.3762652 40.1364495 45.5380122
 [193] 37.1684532 45.1366170 43.5311599 45.6789292 23.1530310 45.4991175
 [199] 32.2462493 44.7511798 22.8031126 44.9409104 45.4045284 45.1093415
 [205] 34.4363923 39.2457556 31.0921608 45.5806396 36.0563535 12.5919212
 [211] 35.3608925 11.5129495 23.9133912 21.5697943 27.3389401 40.3536844
 [217] 29.3586012 43.8818505 37.0624899  5.0085419 31.9553094  2.4490555
 [223] 32.5890817 32.0872035 42.4681794 37.2054007  8.7052390 45.1025392
 [229] 13.2424809 38.7567495 38.3027596 41.6347795 45.5673507 39.7555151
 [235] 45.3423512 45.9315097 42.8655372 42.0945171 44.0763623 42.4995083
 [241] 45.6298518 44.7384436 39.9333510 42.4877433 38.4530396 36.0326778
 [247] 36.5548135 45.1311543 44.0588013 16.2527834 35.4401073 30.0967632
 [253] 41.4606789 14.0488437 42.6532628 44.8032003 29.4041379 42.6869434
 [259] 44.9823322 41.0535466 36.8022592 18.7500490 45.5991463 24.5251247
 [265] 31.5996143 25.9307135 18.5102879 44.3874639 39.3891801  1.0794671
 [271] 24.3320146 10.3735359 29.3240681 38.6237852 44.0595157 38.6998940
 [277] 34.4153663 33.6453739 45.4850582  5.5800103 43.5990329 44.8984105
 [283] 39.2189179 20.7760083 44.0997544 41.6414785 35.9259579 42.0683585
 [289] 43.4035607 40.0968244 40.5681887 45.3166554 37.3673358 45.4685497
 [295] 43.3684467 32.3047547 40.1918834 37.4315809 41.5338274 20.4907895
 [301] 44.7604645 39.5999495 37.1556516 23.8870547 26.4537558 32.7774573
 [307] 26.6213069 45.3732808  7.6470192 41.4940580 41.7762871 37.3848732
 [313] 44.6991028 45.8804482 45.3754643 23.5099569 40.2226044 21.7549647
 [319] 45.2335554 32.2530859 30.4704317 35.9460158 33.2355303 39.6271682
 [325] 42.8970285  8.0366299  9.4924527 41.8056117 44.9467330 23.5241160
 [331] 41.7985977 35.3072312 41.2194875 41.2930718 32.7372796 41.6060600
 [337] 43.1479152 21.8079744 40.8762804 32.3279713 45.5254295 31.1236587
 [343] 39.7765489 42.3244564 25.5851840 39.9927132 33.0605007 12.1393236
 [349] 43.7239918 37.3523736 43.9052874 39.3157639 25.9469033 40.0457858
 [355] 45.5463811 18.4505943 40.4853063 27.7193407 41.6853299 40.8725111
 [361] 35.2321187 45.4840635 43.7893300 39.9483441 44.8056174 42.2543117
 [367] 39.1531929 28.8969511 40.8807123 26.4284055 45.2722464 42.3114440
 [373] 41.2506803 36.2609346 43.9662559 40.6136615 44.8809938  5.4888560
 [379] 21.5432950 32.8634291 35.7284681 45.4584236 17.9608786 33.7722319
 [385] 34.5520036 13.3594920 23.8889056 30.6742915 45.6195696 42.8740195
 [391] 26.0930856 38.2229501 21.3850792 40.5219219 44.6785816 40.5480787
 [397] 45.5339181 45.4481645 22.9296199 42.1413182 43.7047229 42.2737911
 [403] 45.6394612 30.4362243 42.9318538 34.9078444 45.5324084 37.9346736
 [409] 30.3312707 27.6737304 45.5934871 41.7727935 45.4018453 28.9517372
 [415] 45.3969389 13.5147571 45.4801678 42.9140190 27.4742747 41.4784436
 [421] 42.3011578 31.4278192 43.8838321 45.5390197 44.2652264 37.8146767
 [427] 31.7769715 45.5592316 42.3524144 40.4601445 37.8138538 30.9454362
 [433] 45.7653774 45.3926208 20.4726536 37.3521112 43.2306268 11.6492917
 [439] 32.2685732 41.2765357 16.2195126 26.4990013 45.2801825 41.9820626
 [445]  7.5455863 41.6439201 21.9686181 43.4028136 45.5456806 31.3174473
 [451] 44.5966514 45.6795870 44.7179349 31.5776783 26.2446901 33.4116390
 [457] 27.6544406 17.8097586 32.5288336 45.6077477 41.6108649 32.8877547
 [463] 44.4515365 38.4023493 42.5825400 29.3137095 24.4686012 32.6486111
 [469] 22.2676432 32.0712076 39.9107766 38.3656927 45.5434274 38.4061022
 [475] 43.8618414 40.0068046 44.2385395 42.0899566 45.5242633 13.7427499
 [481] 44.7265730 22.0067581 12.9019525 29.3379928 38.4277809 36.4230409
 [487] 18.5969861 17.5532417 35.6786557 39.1171074 35.3391803 22.3066131
 [493] 22.5541667 39.6785305 42.0977039 44.4681022 42.9711543 41.7161768
 [499] 41.0730338 25.7978671 43.1539944 21.6773895 13.0012743 43.2914407
 [505] 23.2401906 42.2800637 41.4812586 39.8267307 25.6230269  7.7112577
 [511] 38.7628105 44.7779157 42.6415581 37.5256013 36.9579287 19.8433732
 [517] 44.8120388 42.1347965 31.4988125 20.3672036 41.6799849 41.3513312
 [523] 18.1174421 45.5781421 27.0351535 35.3308674 45.5166540 45.8974086
 [529] 18.1794140 38.6580156 14.4005135  9.8666629 22.3717067 15.2049687
 [535] 26.7764897 29.1170152  8.2245488 40.2467693 29.2612698 32.7067052
 [541] 43.6805222 35.3825094 40.5306311 44.8996349 41.7144862 27.5663978
 [547] 45.2557464 21.0756169 44.9293821 33.6896683 32.4387507 44.0707463
 [553] 44.1330613 41.8549025 44.5172118 43.9085743 42.6480165 14.0003674
 [559] 40.0241953 33.1547999 45.6812309  9.2724438 44.5492304 44.0444883
 [565] 42.0583659 41.2279777 22.6092834 45.3932462 35.2964449 23.6363206
 [571] 35.7202827 42.0035683 30.1161536 24.1365467 27.7229223 38.7515632
 [577] 41.2305625 45.4097893 35.6572039 45.5222147 31.6178330 43.6861977
 [583] 45.1777421 44.5738119 44.0980318 45.4095754 23.1551139 45.3857389
 [589] 45.8653503 41.6116379 31.0911706 24.7488098 27.4300118 45.5112251
 [595] 29.6962468 26.7121610 32.3720551 26.5675087 35.8465060 32.2588387
 [601] 20.6097595 45.6419972 40.8089204 39.4409924 43.9503829 40.1404271
 [607] 11.3768206 38.7200894 42.6481945 35.2694830 23.8646363 40.0383077
 [613] 45.2237682 43.0072372 11.5583120 33.4455736 33.4261606 39.2531436
 [619]  9.0484188 35.1501113 39.4039186 45.2148967 43.9690825 34.4635685
 [625] 30.5203257 32.3099596 33.7131115 43.5814501 26.9439776 32.6927788
 [631] 14.3482072 39.5790348 25.9697910 45.4707643 38.8293187 29.4361811
 [637] 39.6022128 41.6149011  3.1401611 37.1195053 27.7474451 16.3852216
 [643] 27.7842566 41.3378906 44.8043914 28.5205971 17.3432552 27.4085289
 [649] 40.0787334 26.3460319 32.8704479 39.9503593 40.0493490 44.7757795
 [655] 45.3627578 45.5513104 20.9009648 39.9050590  7.0235967 35.6606796
 [661] 37.3835511 45.4806664 29.1728046 45.5640054 40.1448098 11.2853028
 [667] 40.4223235 42.3792388 44.6039761 36.1591524 39.8277356 29.1464380
 [673] 41.7641596 31.3329686 45.2022127 42.3000719 29.5483213 39.6794775
 [679] 36.7440241 40.0290867 38.5434301 31.8567357 29.1916574 37.3673653
 [685] 44.7825721  8.8208726 26.3815731 40.9889147 43.8937548 42.3719088
 [691] 45.5250312 32.4116364 31.8790355 17.4316894 32.7750338 41.6762298
 [697] 38.5843209 15.2493622 36.3983350 38.1619871  4.1259213 45.4498358
 [703] 42.3038975 36.9947052 39.3418022 30.7424033 28.8352768 41.6926594
 [709] 45.5329074 13.0801027 39.9313014 45.6629481 24.4475190 23.2001919
 [715] 26.4961563 44.8731299 39.0443332 24.2555789 40.6234148 36.5784638
 [721] 44.8265667 45.5869473  5.1083895 35.8114452 38.7797086 32.2194488
 [727] 45.2567993 43.8068485 28.2417500 12.9608212 11.9555940 16.4504900
 [733]  4.2462637 31.2814314  8.9358805 14.2377547 26.5283162 31.2331482
 [739] 37.6749530 35.7014941 32.3886824 44.8333902 11.0070191 34.1001299
 [745] 13.4065421 30.6792226 36.9738258 43.7580059 31.8347269 40.1221271
 [751] 41.4064901 37.7226709 43.8912666 41.5294043 43.4349328 27.3248261
 [757] 42.2047674 23.5153086 23.7698501 32.3384249 39.2306791  0.2632113
 [763] 41.6951317 31.8597643 44.0410274 42.9501224 40.8428904 45.0175019
 [769] 15.8799405 42.0047269 29.0733672 45.3888424 45.5817932 39.4617287
 [775] 45.5454541 28.6947131 40.5379771 44.5505329 44.7567468 45.6525063
 [781] 42.6188190 18.2053788 45.8108914 45.5837218 31.9900697 45.1822042
 [787] 39.9002759 39.9451764 39.8987468 14.4453854 38.1441639 41.3186970
 [793] 45.3775699 34.2173750 27.6461173 33.8449020 45.5552114 37.0105288
 [799] 45.3742473 16.9311523 41.8318313 33.4143364 30.9869278 31.3799783
 [805] 22.4641768 45.5812998 42.0704120 45.8839662 16.6430395 43.8447573
 [811] 45.5169842 41.2809740 43.0877192 44.3691857 40.8213428 44.5793352
 [817] 43.9107046 43.8243611 24.6139998 40.0702320 41.4893477 43.9520932
 [823] 43.6419492 39.8988045 37.0601413 44.9297977 41.0883001 44.6368758
 [829] 41.3379029 42.1412657 31.3085686 35.7305559 42.5158043 40.8421938
 [835] 43.0190920 43.8892443 41.6517015 45.4626107 31.4275078 40.8710152
 [841] 45.5357959 14.2998392 43.8419380 35.4243303 29.3803431 41.2170534
 [847] 38.6721199 20.5193813 40.2807712 45.5873157 43.0331425 43.9484212
 [853] 36.9003463 33.2006934 33.6421791 43.8188522 41.6236429 25.6965122
 [859] 44.7993492 29.2908041 36.6931945 23.7402426 18.5686400 40.1730731
 [865] 40.7768160 44.0822489 43.8325017 26.8855098 39.9536054 41.8413863
 [871] 44.7658834 13.8324410 45.0197055 45.1248123 41.5265332 35.6445982
 [877] 43.9851742 42.3867144 32.4463408 44.7783618 12.4895156 29.6081226
 [883] 45.8472332 42.3921927 29.6601920 43.7047518 45.2213645 27.8426008
 [889] 38.4067285 40.7813631 38.5924977 39.0683622 34.0076856 38.1102731
 [895] 44.8632128 41.5035659 40.7517504 33.9463486 43.9008931 39.2464219
 [901] 16.9625014 32.7956835 32.4144367 30.0782708 33.5964055 45.4570052
 [907] 42.1545612 34.3013301 44.5785707 35.5103904 42.2439017 13.9264658
 [913] 41.4934148 45.6866900 27.2156893 40.8167655 44.0100489 24.1475327
 [919] 10.5513835 45.2774458 30.8773195 43.9976195 25.4089473 32.0114607
 [925] 23.6032922 36.5257651 43.4971254 32.0755894 25.8201840 39.8476417
 [931] 42.0359953 21.0870220 39.9477550 39.0072953 44.2135206 27.9980623
 [937] 19.6050397 40.6297922 45.1022702 13.5132085 44.3402326 30.4344543
 [943] 10.0224511 41.5967705 44.7485090 35.7504015 32.3624246 33.9735838
 [949] 34.2398643 30.0669418 45.3856780 39.1355868 39.0184695 36.1998479
 [955] 45.3034206 44.8768132 45.5349143 29.1541181 41.7056810 26.5274459
 [961] 10.8538766 38.0392081 42.6592427 40.1582995 14.5631786 30.9564581
 [967] 26.3563974 22.9599434 39.8227592 43.4757349 43.8327909 44.9102849
 [973] 44.8551548 28.1236491 41.8947768 27.3148768 37.1804998 40.3255912
 [979] 41.6521539 44.8842982 45.7481157 44.7600129 31.0664103 29.0018574
 [985] 26.6962814 14.1628822 10.8614260 45.4961266 42.5726202 12.0846132
 [991] 23.2041413 45.6313081 38.1153528 12.8830898 41.9025232 37.2090254
 [997] 19.4345693 24.8896793 14.1253147 45.5719632 45.5715081 18.0939959
[1003] 31.1169356 10.1740792 16.8695999 41.0347942 13.6239071 25.0727094
[1009] 44.4853670 32.1245992 29.3653051 21.6995356 44.7446293 45.5019532
[1015] 18.3267042 43.7805033 27.5154053 32.1823627 38.6019388 12.5506642
[1021] 19.7222449 18.5373517  9.9702583 12.8418164 32.8201491 32.5107610
[1027] 44.7985946 45.7460225 42.5936149 25.4647657 33.3073402 31.5588900
[1033] 14.1818965 29.0745386 40.2474019 23.4277228 45.4461971 26.5030962
[1039] 29.2737099 20.9578906 38.6525006 18.8859736 13.9337290 38.6669004
[1045] 40.2409950 45.4831895 12.8323691 40.9356352 21.0855120 32.1466882
[1051]  3.8743047 39.6894961  3.3164708 21.7810136 41.1812477 42.6881665
[1057] 39.7624619 45.4717646 29.2613301 37.6819576  7.4442251 41.2445002
[1063] 31.4812195 45.5192010 42.7642855 14.9168889 41.3668260 36.2232113
[1069] 40.3414175 39.6463525 40.0938093 15.3222152 13.5930385 45.3196739
[1075] 44.8402359 26.5195548 44.2234584 41.1376862 40.5336200 42.3186514
[1081] 44.3031775 41.7997561 41.2604620 17.6176931 27.2689490 39.5031445
[1087] 43.5832659 40.0344974 12.0573086 22.5320604 41.5091262 41.0022061
[1093] 39.6981171 43.5944233 22.3846384 33.0742673 39.3430637 40.3665834
[1099] 27.9348715 43.7556724 44.4993189 45.2067926 42.7518796 23.0725786
[1105] 41.0092610 36.9251040 12.4652792 44.8263865 44.1592492 20.6372977
[1111] 39.6598862 45.9458958 45.2585098 42.5015959 44.6881784 31.3573933
[1117] 37.1773149 45.2541687 39.8627957 28.7980789 42.9939448 38.0065199
[1123] 41.9942271 44.3412429 43.1133270 40.4022294 41.4932086 40.8262529
[1129] 24.9140245 45.9766099 40.0424607 44.0144971 41.5953146 38.9214947
[1135] 45.5901865 17.4023149 40.6262582 45.6414578 20.5260232 33.4738154
[1141] 41.0393015 44.8362999 16.9937997 32.8415430 39.2318870 39.8869513
[1147] 38.4081891 45.5563241 44.4944154 43.8351493 43.1247410 37.3843386
[1153] 32.0888954 45.5888628 27.2044344 14.9970620 44.7299558 36.9066145
[1159] 10.7649607 41.3489478 28.7679094 41.8755735 23.2777370 10.6197697
[1165] 41.6161422  2.8267113  4.9066002 37.7440824 45.3824373 24.4216451
[1171] 45.4013644 45.2819078 38.3338363 37.2670863 19.3223426 45.2753191
[1177] 41.5557557 33.2769611 23.5150229 36.8816955 38.1025684 33.0948931
[1183] 44.7366084 43.6782972 33.4204234 44.9395033 11.4687369 25.9956039
[1189] 19.2362727 37.1563576 45.3792236 43.0566285 27.4358487 27.8598189
[1195] 45.4882601  1.7097852 23.7932845 23.1353492 15.1702527 45.5228824
[1201] 19.8880593 31.3938747  9.5459880 36.3607854 43.4027564 18.1355065
[1207]  9.8140860 26.4791567 41.3279942 19.9013858 17.9926513 37.8084838
[1213] 28.9208008 31.0648660 43.4391789 34.6190940 45.5560084 42.2251657
[1219] 31.7426405 44.4425129 40.8561725 36.1232368 44.2723007 37.5327393
[1225] 15.8141527 44.4790184 36.5205312 39.8002532 43.6076087 30.4462851
[1231] 37.9381081  2.2299972 45.5994517 45.4923844 23.4630421 38.4432725
[1237] 42.5760823 43.9139581 29.5704088 40.6963765 40.9915050 32.4696489
[1243] 30.9219407  9.6150902  7.9725647 30.6035817 37.7405598 39.0164969
[1249] 28.6708492 28.7546506 44.7842051 37.6157492 38.1235100 39.8496608
[1255] 13.9728386  8.2867764 45.4603342 45.4956610 42.0319908 45.5716031
[1261] 41.9251480 39.3663065 34.8131483 28.7975814 41.3859319 29.0956650
[1267] 44.7524922 45.4393136 27.3854658 41.2162098 39.9531905 26.5429102
[1273]  9.7607791  9.2164333 11.6035239 44.0263871 45.7304412 44.7960653
[1279] 30.6529180 14.1995927 27.8195476 41.0776974 26.3162078 44.5295124
[1285] 40.0467484 17.8414258 13.8181434 32.3909356 27.1563679 24.2819970
[1291] 24.0985672 43.5132657 28.8120570 14.9734274 25.8520227 38.5574720
[1297]  9.4381598 45.8078103 38.5453362 33.2934627 11.3378267 44.9065576
[1303] 41.5966523 39.5518091 36.8659262 33.9263910 12.1287270 17.5849983
[1309] 45.6932327 43.9361157 44.4769234 18.8557056 33.8698216 40.8244331
[1315] 15.2724110 20.4987095 45.4818572 45.7615227 20.2531405 20.1974225
[1321] 23.5610235 10.1780497 44.8128755 42.1847401 39.9887460 31.0110915
[1327] 45.1369107 37.4302643 17.0272285 44.8555619 26.8180246 28.2403043
[1333] 43.9837336 41.3235587  8.6461123 45.4906717 40.5086685 45.3294883
[1339] 41.0128300 27.8245277 43.8059824 43.1223383 37.4515392 40.7849515
[1345] 42.4938438 35.5898049 45.5706346 18.6577838 32.6748640 19.2668897
[1351] 34.4728660 29.0562405 14.7370261 23.3300590 45.2643475 44.7212633
[1357] 44.1855799 33.9876598 23.1269979 44.3099126 28.0425515 39.5764082
[1363] 45.3508478 42.0814603 44.8044376 45.5530547 35.3612682 39.7167945
[1369] 40.8132881 42.2442223 42.1196200 14.6805544 28.4750264 39.3454941
[1375] 45.6506900 43.7093136 45.5557256 34.3184986 38.6754181 41.2936076
[1381] 33.2595001 43.8982085 35.2491746 38.5456313 33.3470297 22.5857123
[1387] 44.1087499 29.2228696 42.3403555 45.5658372 23.7895109 30.9253126
[1393] 22.9078185 42.5605073 45.5432854 41.5361616 36.8217165 42.5718222
[1399] 44.1045425 29.4096409  8.8789216 32.2350646 39.9596911 27.3553943
[1405] 23.7645949 25.6551717 41.8259553 36.5311441 30.1479655 36.2581182
[1411] 45.6882047 40.2072383 38.1121976 42.4017363 33.5388724 38.1401066
[1417] 12.4236143 42.7442350 40.6740895 25.3591415 20.1255915 44.0334939
[1423] 45.6530626 39.9464017 37.0674856 40.2326409 39.4316443 41.0505479
[1429] 18.8002221 43.4043815 42.3664478 38.9222450 38.8057641 30.7841227
[1435] 44.3103480 13.8012811 38.7234336 45.1007729 45.5235135 45.7022823
[1441] 42.6375742 29.0539658 38.7006851 42.0664036 44.7645242 45.5528184
[1447] 37.4904850 40.1031229 36.8304351 23.4775824 37.7490917 34.8523758
[1453] 40.1289753 45.5575638 42.2495872 45.5506858 25.2424044 20.8285919
[1459]  9.6543098 18.2384097  3.7427476 16.1519989 37.5327248 40.0304814
[1465] 29.1366068 31.8125338 45.5168831 32.6233130 27.6005795 31.1137556
[1471] 45.7039685 14.6344926 40.2236273 39.9874268 44.7696989 21.4271203
[1477] 45.0925331 23.4937003 27.9338644 39.6506681 43.9160983 11.8685776
[1483] 40.9310065 22.2926145 43.5078073 43.9123621 44.9065311 20.3917296
[1489] 21.8480011 21.9548264 21.2258681 43.7368870 39.8051507 44.3261014
[1495] 44.1232317 35.4625591 39.6651688 44.7401780 44.6539066 23.5866395
[1501] 45.2621758 28.7645686 41.1277450 45.8392844 44.9974836 39.6468095
[1507] 12.3100743 42.1624612 12.8002856 40.5799900 17.9039838 37.0790500
[1513] 31.2720533 45.6876232 21.4918761 37.5094906 45.5387487 36.8974850
[1519] 44.9555671 23.5905306 27.7616775 45.6082296 42.3202839 43.8831558
[1525] 44.6144586 44.7725104 39.0793572 41.4320064 29.4381738 41.4392862
[1531] 45.6799152 27.2251817 20.7223725 45.1171869 22.5578505 29.9825388
[1537] 38.3998475 45.6440024 29.7134324 35.5676604 13.3206136 45.2799242
[1543] 17.0825391 13.7031019 41.5169607 18.7761392 25.0000488 35.6883686
[1549] 30.0243263 45.0834049 37.1669867 37.0188653 45.4772244 29.2117171
[1555] 22.1907368 44.8057975 28.3427560 37.1914851 43.1903611 24.1334893
[1561] 39.2771143 24.2315052 37.2522260 38.9919803 31.6927266 37.3814850
[1567] 14.7482082 19.4632906 33.8785669 42.2485551 45.3514362 41.0389331
[1573] 43.7205522 18.2086288 40.6944419  5.3963073 20.3567848 22.5794767
[1579] 42.0137598 11.0518041 35.9448489 17.4630122 33.7529007 27.9479574
[1585]  7.7428364 45.2381094 31.1547148  6.9509615 45.5187868 31.7765021
[1591] 42.6784488 32.7300945 24.6868730 42.2439411 33.9496316 25.0238807
[1597] 39.6435484 44.1129515 39.5585266 39.5684047 45.6133736 45.7082834
[1603] 44.8114320 38.7702670 44.8432397 26.2194294 45.0206810 42.5310946
[1609] 43.4919897 28.7732084 27.5816709 37.6942350 29.2550246 45.3414575
[1615] 42.6351779 27.5581312 43.8038388 40.4262276 43.7369773 44.0598785
[1621] 45.5833167 43.9274960 39.1739342 37.1441832 42.4698739 32.9929571
[1627] 41.3129060 34.3494668 43.8274672 43.9331584 41.5383911 19.9169934
[1633] 31.2106590 36.5438733 37.9699880 43.2777204 45.2440744 41.8874508
[1639] 25.2930385 45.7033142 45.4614282 30.7472759 15.9140303 41.5271077
[1645] 26.8254438 43.8500321 36.9407743 27.2440902 41.7958495 34.5533181
[1651] 44.7827507 40.7346210 41.3571096 45.2268893 44.3152957 41.5948314
[1657] 45.4213858 20.7982304 45.3505351 42.5657707 45.5757038 27.4055738
[1663] 35.3353745 37.4847539 34.1946215 10.7163026 23.4298869 34.2205750
[1669] 31.0730072 35.5325713 41.8513740 26.8649742 33.0143200 40.2272025
[1675] 31.9703732 45.3662518 25.6709587 40.9521355 17.8427164 42.5423940
[1681] 10.9563218 32.8998519 41.5760665 43.1735915 12.0025089 45.6998383
[1687] 18.6514500 32.2641482 14.3102283 45.4979167 38.5972267 41.5831707
[1693] 45.6167215 35.5512806 23.8365954 43.7591528 45.4341336 29.3945840
[1699] 45.5225870 26.0206837 17.7685109 45.5279265 21.3564853 13.2935290
[1705] 13.8576520 45.4698721 28.3665854 44.8718126 45.7561555 45.5468775
[1711] 18.6394921 39.2867207 40.0773879 13.6680138 23.0520491 40.1293456
[1717] 40.6475078 43.4318894 33.3645267 16.4834114 42.0297717 27.8633030
[1723] 42.3291835 30.7956303 36.1897197 44.5694517 44.0358837 45.9213998
[1729] 17.7774916 29.6206654 40.8708069 39.9571858 29.0865342 43.0356275
[1735] 43.8083670 43.9089032 16.5431073 45.3169918 13.1204112 18.0863498
[1741] 45.5619160 43.9448125 28.2806085 44.7322261 45.2852597 43.7749402
[1747] 40.1971795 39.4118272 24.1598693 34.4578899 44.7875459 43.7864920
[1753] 29.1234224 32.0201207 40.5962033 30.0853923 40.9217002 38.4994196
[1759] 42.5895620 45.5370468 31.4440097 25.6241913 15.6788645 42.5221070
[1765] 40.5640057 11.0684767 45.6417439 42.2406343 45.6753079 45.5481122
[1771] 19.1171983 41.2900993 43.0508540 45.3051212 42.6033195 29.4825131
[1777] 26.9681704 36.3423670 32.3030397 21.9026463 18.0722467 41.3417018
[1783] 44.5154945 44.5586681 43.8177770 18.0389456 39.6622862 33.1988657
[1789] 25.2165405 43.9468298 38.2857058 45.4303596 44.8181709 44.8763857
[1795] 23.4063322 45.5328789 38.3272707 40.8046922 23.6121846 41.0645111
[1801]  7.6465593 40.6596873 43.7761888 43.9726898 41.7136885 27.9514800
[1807] 42.1674426 37.6805717 26.7329101 45.6491980 45.9015615 45.3604878
[1813] 43.5434341 30.6984648 40.0671409 41.2905267 45.5383579 41.1144512
[1819] 17.5458075 29.7676772 10.5212574 21.5189603 39.8173584 23.2285458
[1825] 44.3098135 38.3872951 42.5921538 22.6353928 21.2798261 41.4337595
[1831]  8.5864066 42.0532103 36.1630969 31.1975901 33.6663748 14.8590515
[1837] 28.7359765 45.4130114 24.4527553 42.1576750 45.4262336 28.2644849
[1843] 44.0307517 19.3525203 45.1254828 24.5558796 45.3900282 32.9215018
[1849] 41.5129689 42.2083480 45.7665077 38.6077204 31.5404325 40.2046838
[1855] 43.4270516 44.7858175 26.1381739 19.8339256 43.6586894 33.1123807
[1861] 45.5809752 31.2209457 16.0834782 40.9697858 45.2348522 40.1768666
[1867] 43.2494333 31.1141106 41.9911233 26.3290529 34.0551960 45.5569847
[1873] 39.8910260 30.7000302 41.4962994 26.0453818 45.3475803 14.2747175
[1879] 44.8004641 38.2633504 43.7740630 34.9385379 17.1154053 20.0848702
[1885] 37.7700111 45.5613197 30.5409089 38.3897766 20.3099753 45.2756303
[1891] 35.7526082 12.1699056 41.3499755 44.6694705 37.7461490 34.9314610
[1897] 30.9533349 34.2063817 37.5852842 45.3383995 23.4992461 36.8948153
[1903] 43.0172964 34.0310215 42.1943966 27.8831209 45.5803565 19.3636390
[1909] 31.7329092 36.3424877 44.6797073 36.2023273 44.8797517 35.1227638
[1915] 17.7377326 41.5125601 42.4102069 41.3185685 25.3454332 39.0279818
[1921] 42.5233378 35.4558416 40.0978714 32.2331485 42.9937316 39.7749733
[1927] 44.0438928 45.4743627 41.0936929 29.9114458 44.5982451 30.2067091
[1933] 42.9259215 39.9455353 24.5156487 43.4180542 45.5428669 18.7196364
[1939] 44.8874106 43.7371176 20.0036705 14.5703089 23.0995274 36.7222616
[1945] 10.5701460 18.4600766 43.7373085 45.8020495 44.4673092 29.4479467
[1951] 44.8682509 43.2149916 28.6117912 45.3275455 45.6287074 35.6352932
[1957] 23.7431167 45.3837099 41.8017813 18.3295781 40.1563974 23.6980407
[1963] 37.9768609 21.2546050 42.1875619 45.5785704 45.1184505 22.0328639
[1969] 45.5895491 18.9244449 41.5060998 24.7980720 44.8818697 39.0141356
[1975] 10.9085609 15.1352890 37.8712139 34.0615980 18.0402895 27.7614091
[1981] 38.6768949 24.1844682 43.8281857 12.2537811 26.6282193 23.4763677
[1987] 29.1524702 42.6617346 42.0847803 16.3186437 28.5679231 37.3934691
[1993] 40.3096558 36.9147569 36.7099030 39.7272878 45.7745774 22.8532014
[1999] 32.8415113 36.4723421 13.9376283 27.6404606 35.1817428 44.0529472
[2005] 45.3974851 10.4223441 19.6363287 45.5655437 44.8777218 45.5304898
[2011] 39.8356554 41.5422378 44.8198420 32.6730121 43.5440638 43.5751954
[2017] 41.0346188  9.7072262 45.5549180 13.5901162 25.5731643 44.2094308
[2023] 44.8550910 41.3033464 34.1206064 22.7131563 31.2422889 14.3856218
[2029] 20.1697654 41.5964253 40.2506492 30.6322251 43.4221668 23.0584365
[2035] 45.5941009 38.0680044 34.1931542 45.3464405 43.8382436 24.1076237
[2041] 45.4481883 42.5534629 40.0636712 40.8497598 42.1524828 45.4551043
[2047] 39.9908856 40.9052364 33.8869386 45.6315061  2.6456353 42.4395650
[2053] 39.6779967 16.0501965 35.9034168 20.6197351 45.5749421 23.6919822
[2059] 41.3205732 19.1775182 44.6474673 44.0673549 37.9096389 18.0244062
[2065] 44.6495966 18.9144497 17.2776124 39.2694944 44.7456788 45.1433409
[2071] 43.6831448 39.8731096 38.5089352 27.4559802 29.0430591 40.1170306
[2077] 45.3724184 43.9433708 37.6964263 41.2269957 42.9389628 42.8906909
[2083] 42.5846927 45.4168620 12.4227190  3.4639399 41.6586070 38.9054250
[2089] 25.3148475 45.5699843 17.1508607 41.3083589 29.3640531 45.7371879
[2095] 25.3847003 27.7418841 36.8745823 37.4167468 27.0859315 42.3194729
[2101]  7.2367459 42.9106507 37.5330895 39.8197818 23.7591661 45.7626285
[2107] 16.0155311 26.5534242 27.0208707 23.4320214 45.4914003  6.7274668
[2113] 38.5383594 19.7756970 45.4162286 20.9375262 32.7516686 42.5733725
[2119] 42.1828444 36.5837136 45.6421049 45.5740080 38.5711760 31.7671070
[2125] 34.5201881 23.7756508 36.2216043 44.7598545 44.9112249 39.7448136
[2131] 27.0607464 45.9140971 44.6990804 43.9069817 45.5244879 36.2695527
[2137] 29.0425106 40.9674134 21.1690072 28.1401418 38.8534286 39.8218333
[2143] 44.9691265  6.6519050 25.9056510 18.2681049 26.5898705 42.9020618
[2149] 17.4924850 41.4355990 18.4200025 41.1982542 45.2298477 19.0605265
[2155] 43.1521329 26.7508091 31.2196507 41.1594412 24.4005626 28.4511236
[2161] 21.3048746 44.3127511 35.0374566 23.6402159 45.3814633 42.8180869
[2167] 39.8710841 45.4739539 12.7583387 29.0886931 45.9809531 25.7322232
[2173] 44.8229020 42.8041830 20.9291497 37.2932879 36.9679288 37.0627503
[2179] 44.7973327 42.3954628 29.9593242 30.9358943 45.2299902 27.8098511
[2185] 20.8648285 43.5164838 45.3052919 23.9400740 42.9286686 41.2167774
[2191] 44.8113752 42.0989303 20.0283358 42.3772390 18.3785802 17.1476474
[2197] 32.9764232 43.8927466 42.9872653 33.0380680 26.6508661 33.3438029
[2203] 39.5458059 40.8578344 13.5505123 45.4163551 44.5292425 45.5573041
[2209] 44.7669819 42.0606741 39.5213428 40.0913157 10.9832041 39.6278231
[2215] 45.2989788 11.4233248 45.9172880 44.6453037 16.1172930 37.3114575
[2221] 24.8656559 34.6153160 45.4156498 40.0603386 45.5808614 24.5412857
[2227] 39.0927976 34.9855589 17.1814816 24.3775905 26.2684320 40.0526196
[2233] 45.7686981 38.3838785 43.7037314 43.7817027 42.3170675 45.5233934
[2239] 32.5805535 45.3170962 33.3150471 15.2378437 42.5956211 45.8618837
[2245] 43.7503795  9.3280764 11.3312888 38.1282498 25.8231002 36.5148607
[2251] 39.9379438 15.3735502 42.0694743 36.6017799 33.2821536 42.2658292
[2257] 24.5894524 43.3349506 31.1352240 44.7928878 10.7845584 39.3242267
[2263] 31.7061988 45.7852469 15.2038496 42.5510251 33.8423334 30.7593348
[2269] 34.3486737 44.9134885 23.8151318 40.2228457 20.4787047 37.0828289
[2275] 41.1835989 44.7780063 30.5808738 24.5627197 39.8867636 19.9755765
[2281] 39.9329207 41.2661950 42.0240044 44.5886874 39.2518429 45.0178563
[2287] 43.9833760 29.4618871 45.5504163 42.4428092 41.0482766 40.6545722
[2293] 34.1919939 43.8174239 24.6691585 45.4266905 40.1840575 42.9762255
[2299] 44.8703462 14.1731446 37.9201418 33.1753834  7.5640087 23.4986601
[2305] 31.2568593 45.4998646 40.0268675 18.7797676 17.4421591 23.3615041
[2311] 15.7134085 23.5428212 19.6518834 36.9739841 42.9481849 45.5642194
[2317] 42.5800691 28.8993907 45.6107486 37.7961487 31.8198861 39.7971417
[2323] 11.0989454 24.6626262 27.3696515 45.4850535  3.6059858 39.7032784
[2329] 42.3426744 43.1225488 12.5081033 19.9426533 44.2636957 41.3198544
[2335] 41.4549704 22.7530904 45.3341722 35.9665459 42.8540875 17.9674431
[2341] 44.5878386 45.4401238 15.7465381 17.7463230 45.5227188 31.6324511
[2347] 14.5330225 44.9137684 43.7776755 43.9963793 35.6675426 43.6344431
[2353] 44.5568582 42.9875820 39.6215294 39.9912020 36.1461046 29.5872344
[2359] 15.3412378 45.7761952 22.9531764 25.7722512 38.6048577 40.1994351
[2365] 23.2551528 30.8559207 39.9896632 41.8711779 43.6888429 40.4765614
[2371] 45.3956387 35.5879180 45.4292765 42.0276162 40.8889206 44.0218332
[2377] 45.5943273 27.8095278 39.8774481 45.5093213 40.6987005 25.6226921
[2383] 43.3819372 36.6938723 40.5832299 16.9029238 36.4708832 30.3462346
[2389] 41.5734044 20.4492406 32.6251196 23.3009267 37.4974751 41.5325426
[2395] 14.7112081 42.6158386 43.8912678 44.9094508 45.8295818 43.9460124
[2401] 31.1308035 12.4344508 44.7824144 45.3776788 19.5177688 40.5692790
[2407] 25.1204403 32.9407687 32.4452581 38.1422259  7.8429764 12.2960904
[2413] 40.0416446 45.7979274 36.0960206 42.6992873 45.5273365 34.6796964
[2419] 21.5970001  9.3833340 37.7201750 19.4880077 42.1934184 32.3237851
[2425] 37.2413952 44.3361417 33.3465171 45.5596697 45.5441827 37.0353821
[2431] 34.7973642 35.8683380 38.3917892 41.7898798 27.8889850 43.3105010
[2437] 10.4184770 39.0705215 19.4077535 19.2058710 36.7712001 44.7687141
[2443] 45.3582149 38.4761760 37.1516870 25.7224685 13.1611065 22.1789233
[2449]  7.1670678  6.4187618 45.4663861 40.2236195 39.4591231 39.2727628
[2455] 44.6551177 39.7310264 25.1417027 39.9069487 39.1959752 41.2545943
[2461]  1.7319816 12.2103100 18.8894993 43.6399218 45.4544448 23.9658263
[2467] 39.8919857 19.0912461 38.9678529 44.6018564 43.6318376 41.0794662
[2473] 35.1029687 45.4689041 43.7706877 45.4605444 15.0309325 37.8390869
[2479] 39.9885553 39.0425625 13.6631782 41.4708952 43.5036984 32.3951110
[2485] 17.9638129 10.2745507 45.6452146 45.5227253 19.8045035 44.8008741
[2491] 45.3341583 30.0791271 41.2985932 38.5320450 40.0499029 21.9797934
[2497] 45.3049819 41.0721773 41.5396695 36.6718118 36.2838695 35.1312557
[2503] 45.4112660  3.1617011 31.0357469 40.6787458 39.4080932 41.4776890
[2509] 11.0039214 34.4030468 29.2942461  1.0907601 36.2442752 38.4904297
[2515] 41.1953921 24.6390579 34.5803756 26.8012469 45.3570605 45.2233243
[2521] 42.1937333 42.0327515 42.9099115 11.1455286 31.8995871 30.6128398
[2527] 40.9948747 40.8677969 45.4059831 35.8910407 11.7355443 43.5379293
[2533] 45.1926301 45.4048042 15.5471083 15.6171571 38.5512068 44.1174029
[2539] 42.1988047 17.0367166 43.6418651 44.8701722 44.0404054 43.7938386
[2545] 41.4546534 44.6776340 45.8342934 28.3079173 40.4156654 45.1003839
[2551] 45.5186546 44.7725094 37.4940458 44.3481013 28.9287848 42.5625144
[2557] 44.4954432 39.2207273 43.8390847 45.8412480 19.9456668 29.1414837
[2563] 42.5066030 41.8326289 44.1351973 18.9141317 42.1281652 45.6842641
[2569] 30.9938174 45.5403613 42.9244618 39.2407544 34.1559866 29.0988721
[2575] 45.3018559  8.4074320  2.9614506 34.9985203 39.2162615 43.4723474
[2581] 36.3056095 31.1966481 42.4137130 39.0456490 41.5345205 34.7536196
[2587] 22.8627597 45.4920901 31.6742919 42.1114921 25.7481823 23.8112907
[2593] 28.4918771 45.5118294 39.8799808 12.6338134 43.5170183  1.4140107
[2599] 14.6438774 45.8122004 20.5535104 37.0519223  7.5127340 43.1603654
[2605] 45.0780625 18.2996452 26.1518590 39.7263491 42.3130919 41.1240157
[2611] 44.3881923 39.9865005 40.7576589 29.0936074 41.6607453 41.9058180
[2617] 31.5196151 44.6642680 22.2084918 27.8144849 41.2100635 40.9635098
[2623] 28.6295158 42.2742777 36.9527915 21.9266788 42.6505321 30.3698488
[2629] 28.9729508 40.1194517 45.2400213 23.4534407 43.8924266 45.5605078
[2635] 41.6501403  2.2694282 34.5030232 37.6131259 38.9255947 40.0998567
[2641] 21.8762674 44.0607672 45.0936940 19.8838954 21.0394585 26.5906786
[2647] 39.8808544 45.4141020 44.9071043 29.4285146 41.2192407 42.4890307
[2653] 31.1835854 38.1770639 16.6757642 12.3383965 17.2138428 19.0304251
[2659] 44.1610479 20.6949351 17.9351052 26.6284950 27.8652716 45.3506119
[2665]  6.5747750 34.5210773 22.3446678 39.9932067 36.3175554 38.7730098
[2671] 44.3638432 36.3773243 41.4936730 39.6867667 27.4711472  5.9317318
[2677] 41.2508551 40.2148855 35.2914318 22.6878822 39.6159925 43.8831259
[2683] 37.6350691 29.3303014 45.5264938 45.3041866 43.6934228 29.1333868
[2689] 42.6524270 39.6626763 43.3212079 15.7806612 28.5549620 45.4708611
[2695] 41.5625224 36.1814279 30.2871200 36.8231667 43.1206661 45.5414841
[2701] 40.8962612 38.6515828 40.8209362 45.5477258 45.5477068 38.0747415
[2707] 40.5655162 40.4861758  8.7640997 44.7944829 45.4551412 38.2639566
[2713] 45.4817599 43.0739491 26.9934820 34.2817752 45.3799735 33.8208016
[2719] 39.9188373 22.0866954 31.7179522 35.9186230 35.0617651 23.3482927
[2725] 38.6992670 23.3532175 23.3265399 23.0981955 14.7160389  4.6606303
[2731] 44.1884454 42.7692693 44.1043482 35.6492110 43.4281455 30.0041998
[2737] 13.4754171 40.0437586 37.1727328 45.7900306 45.6584274 27.4149014
[2743] 37.4496545 42.7754188 45.3087361 27.8190797 25.3263182 28.5041936
[2749] 14.5632285 19.9444662 43.4617212 44.5050550 34.6295614 37.1830596
[2755] 42.1674198 45.4439655 35.8684284 45.4065760 44.5213058 45.3634629
[2761] 35.4064045 29.4745207  5.4561401 33.4512890 37.3701197  9.1609344
[2767] 37.0037648 37.0785835 42.9207843 41.2582031 15.5283707 26.2931318
[2773] 44.1256337 43.5290621 35.3367283 22.7311705 29.8746250 43.7504382
[2779] 23.9891637 44.4745234 37.0994615  4.5880974 18.9994878 29.4906482
[2785] 37.0835031 21.4634908 36.6119677 29.1282069 26.1145463 44.3695158
[2791] 32.0581050 29.9355025 44.1676291 29.1758162 45.4189066 45.5899618
[2797] 45.5444781 44.0050288 44.9829068 14.6383076 42.5616795 44.7259965
[2803] 20.1424392 44.6903822  2.0002896 18.9711610 45.7060578 43.9093076
[2809] 30.8152752 45.7355212 20.7512895 28.2153826 40.2403902 45.4147428
[2815] 42.8444316 43.6722763 37.3004726 40.5585442 29.8137502 44.5559988
[2821] 39.4236963 44.8126687 10.8794193 41.9733282 33.2905131 26.2431448
[2827] 35.2227108 38.5618159 42.5349448 44.9493912 42.9922965 15.1024457
[2833] 24.7493881 44.3600753 29.2525937 42.8918201 38.0008167 42.5757280
[2839] 21.0130426 25.8642363 41.7049340 32.4890831 38.7487275 10.2623554
[2845]  5.2057943 43.4633339 42.2936547 38.5125979 25.2678471 21.7278782
[2851] 23.6285598 41.6937889 44.1914614 22.1672953 26.1964248 36.9827142
[2857] 31.2964770 44.0759133 38.6456246 40.0985516 28.2088679 41.7675837
[2863] 45.6743757 45.5705329 22.6612273 45.4322009 21.3334985 44.6238312
[2869] 43.3865037 37.3738956 39.9043761 24.3516877 40.4891413 22.4833708
[2875] 45.8850396  5.6701288 41.0073609 41.6024389 27.3920265 10.8133842
[2881] 27.6578192 36.8990417 42.3862919 41.9602809 44.5092829 40.2718513
[2887] 39.2362472 34.5500350 45.5422013 44.8975154 25.6684191 24.0844656
[2893] 43.8666882  6.4969542 31.1741281 25.3227522 28.0199305 37.7203372
[2899] 43.1970306 39.9754922 28.7176617 10.4712399  6.0160050 45.5407298
[2905] 45.3767486 39.0696844  7.3058533 44.7462306 40.0566593 44.5981208
[2911] 42.3469577 14.4209889 32.5698462 25.6478163 37.8474023 23.7272524
[2917] 41.6043575 38.9812413 45.4432410 39.8363324 29.3631079 45.2596161
[2923]  9.9192371 28.1805434 26.2500038 42.2313803 25.8866298 40.9156231
[2929] 43.1987905 39.9720923 13.9744290 44.8105227 30.6672517 44.9097160
[2935] 20.2811530 37.2075092 38.5420717 43.3856519  6.1787207 13.6633511
[2941] 39.9155979 32.0154368 39.4788423 45.4239949 45.5580235 33.2160764
[2947] 44.6062802 26.4421286 45.6399670 42.1356970 19.2105547 41.5823185
[2953] 26.5276919 38.9154330 40.8120246 45.5080574 44.4019258 43.9480420
[2959] 27.8760314 44.4552231 44.3350238 42.1350437 34.7733759 42.5667124
[2965] 41.4581264 44.1019753 21.0300743 39.9701317 44.2373658 33.6234079
[2971] 29.4081725 30.2390744 39.6342851 10.2249163 38.6060919 44.7786045
[2977] 45.5984051 44.4837923 28.6805660 45.2409919 41.3013037 27.1789656
[2983] 35.2172682 39.6812036 38.3484985 45.4079470 44.8697063 45.6371292
[2989]  6.3390361 43.9997172 40.5556381 22.2145479 14.0101588 45.4748684
[2995] 44.2542535 34.3692995 45.5870793 32.3079032 13.8202883 43.8945389
[3001] 28.8737912 32.6508511 35.7877624 26.3580037 45.5059124 42.0557654
[3007] 41.3370942 12.3803515 24.9089530 21.0626771 32.1470800 20.1133435
[3013] 15.4435597 35.3473264 23.1768518 42.5617072 28.0194581 19.5765532
[3019]  4.6964557 17.7027887 45.5619615 37.1771289 24.5869936 44.4772781
[3025] 31.2403998 17.6498977 11.2387183 45.5177580 41.0254947 44.7128300
[3031] 43.9343889 45.2876669 40.0707390 42.1880132 37.8085423 34.6607155
[3037] 24.7731588 43.7632478 12.9231899 27.6529118 42.2560320 44.4636784
[3043] 22.9499694 12.6749292 45.8041329 44.4929483 40.2212080 14.7856265
[3049] 40.9912788 40.1569714 18.1147115 41.9123299 40.4177251 13.3950250
[3055] 44.7520898 37.0888926 34.5209420 10.1238376 29.4137428 41.4378038
[3061] 44.7470050 14.4588557 40.8668106 32.2071782 12.0001678  7.7932051
[3067] 39.4393577 11.9132797 41.7787739 22.7561148 19.7482508 39.9299830
[3073] 44.1430582 44.8395209 41.2330947 39.4549757 40.4415773 42.5187692
[3079] 34.2623896 34.3456148 40.8784521 44.9505193 37.3194709 43.9853134
[3085] 41.0773566 45.8009287 35.9589197 37.6577138 43.4165308 44.4150440
[3091] 45.0868372 44.5266950 44.7857814 40.0093280 40.7184646 33.5615465
[3097] 41.8271823 43.1725530 43.5508741 44.8356649 39.6579154 43.9610667
[3103] 40.2335621 13.0394966 42.5398874 42.3398415 41.7832437 20.8251265
[3109] 19.6334226 42.3725862 21.6186512 42.5697748 16.5123467 45.6496716
[3115] 44.6983456 41.3658568 28.1341356 40.1484203 22.4889481 31.0603889
[3121] 17.6817686 45.5236788 45.5376830 32.6148445 43.4835489 45.8856149
[3127] 39.8000652 43.8314735 38.2243342 44.2915125 44.8279421 44.0117256
[3133] 45.3190908 45.3958149 44.3555716 39.3193022 43.0964910 44.7932940
[3139] 42.2402515 44.7902546 35.2056377 23.7134218 16.6091370 27.2916487
[3145] 17.7142889 22.6221934 25.1675273 34.7016801 23.9333337 36.8581639
[3151] 41.5247268 29.1773111 25.1926749 44.0449956 19.4239179 44.6166101
[3157] 39.7342562 34.1403855 30.7615520 41.6687068 40.9696342 26.6033625
[3163] 29.4711124 37.2864878 44.7791478 40.8969334 41.4708541  4.8439372
[3169] 40.9114174 40.1482594 31.8171286 45.2058259 44.0904922 41.8155292
[3175] 42.2060885 25.4898785 22.7367737 45.6248119 31.7244322 13.9490013
[3181] 24.7746249 44.7475588 44.8479980 37.0275187 23.4691117 43.9126306
[3187] 44.6691711 37.7510901 41.7121702 45.6614498 34.8600188 23.4083619
[3193] 26.5637318 39.7334286 44.9305375 42.6025926 42.1711898 41.5326941
[3199] 28.9777808 39.3627362 30.7253784 39.4238288 34.1052958 32.2905089
[3205] 38.7814365 42.1893395 13.0138211 45.3878947 40.1179042 43.8106852
[3211] 42.0799354 43.0823066 41.2513450 45.2509455 33.6071483 14.4965245
[3217] 45.3999282 43.3494841  8.5256057 23.8733362 45.5604411 27.6160504
[3223] 45.5231295 45.0194069 37.2625461 41.1809793 39.2398450 41.2716741
[3229] 45.8811400 26.8958734 38.1479924 40.5024118 45.8572433 31.0988702
[3235] 39.7746935 45.4580534  1.5794220 44.1401836 43.8571686 43.9515100
[3241] 43.5023782 37.4419227 45.5360052 44.9780634 23.4833001 40.6906669
[3247] 26.1231290 40.1250262  2.9989134 40.3992238 28.1122930 37.8933466
[3253] 37.2645155 31.0080423 31.1746386 24.1927153 38.5404291 44.7856969
[3259] 44.8765505 43.5116616 45.4257381 43.9282013 24.9314843 24.7249881
[3265] 45.6099590 37.8435050 45.4790175 40.0640236 39.2565583 36.2348079
[3271] 17.8737330 45.4261840 40.5193151 43.8545466 41.8222872 29.4684068
[3277] 43.5310656 42.6721787 29.8857918  8.7371971 42.4117292 40.2410827
[3283] 29.5128320 33.0324809 36.6336195 42.3465338 38.1500939 45.6656130
[3289] 41.9922905 42.2142569 43.7465193 14.9315857 44.5210833 37.0270975
[3295] 41.2824646 39.3928370 23.0842877 35.3540954 28.0670678 15.9805276
[3301] 45.3682576 43.9027266 36.2637690 40.9633177 40.1414180 39.0737053
[3307] 36.3688095 45.5149261 42.8665586 40.7123446 37.7952208 44.6381001
[3313] 41.4478692 45.6192383 29.3238421 29.5377432 42.0619854 44.7721474
[3319] 29.3462273 37.2629102 40.4607384 35.6706493 39.8986311 37.2491746
[3325] 45.6125896  4.0019804 45.8489510 38.1542137 30.9816361 32.4659579
[3331] 34.2670313 45.5767246 42.1345265 44.1398637 33.4069795 44.6708493
[3337]  7.7774368 23.5370782 21.6505254 45.3393710 45.5800301 40.0628082
[3343] 39.9978201 42.4752870 45.8559180 21.1974679 39.4421215 45.6695250
[3349] 37.1266315 37.7932858 39.3909463 45.1933784 41.5575417 45.6538828
[3355] 45.1893047 42.7247361  0.9996654 44.5729372 42.8993200 45.6438810
[3361]  2.2362763 42.9853547 38.8066597 43.7778354 34.7182197 43.9015158
[3367] 43.5722530 43.8306797  6.2588098 39.0558898 40.7072137 41.3805131
[3373] 23.2683053 43.9047527 45.8064956 44.0038850 42.1843274 16.2866149
[3379] 40.0965004 11.1915296 26.3583104 36.5457724 42.9320693 43.6329992
[3385] 35.4748319 38.3156575 25.6199950 31.2588755 20.3394157 45.5066021
[3391] 44.8418199 45.2448429 43.7885600 39.2130470 44.7833281 27.0854001
[3397] 28.8354330 24.5883371 39.3849169 45.6423209 40.1040299 45.8812196
[3403] 26.4866901 33.1337162 41.9889832 23.7444124 35.9874931 28.0879503
[3409] 40.2315598 45.3259501 42.3836982 34.8766249 45.4759381 32.1976203
[3415] 45.5978997 43.5437171 39.7868041 45.6701716 28.3040288 17.9536140
[3421] 14.1714465 37.0930047  7.3750418 44.9444474 45.4980908 40.9701612
[3427] 20.4320966 45.3064471 43.2157222 34.3921214 41.5056208 37.3662544
[3433] 26.1727045 39.7545729 34.4870052 45.3439322 32.0351715 41.6991954
[3439] 24.6099332 45.8465342 25.6994840 41.4295448 16.7417865 45.4768100
[3445] 42.1101610 40.5214712 37.2276218 32.6614607 39.9281601 40.9479209
[3451] 41.3468312 45.4704991 37.1030715 42.1933300 45.4932440 45.2134805
[3457] 41.6269007 45.4926780 27.2670588 36.3601244 45.4503274 34.1963680
[3463] 44.3323854 45.3097175 23.0091596 26.6363795 30.1929080 25.5986728
[3469] 38.5933765 20.4201827 42.0946162 39.8784336 37.1233788 17.3758304
[3475] 41.9544534 42.6407220 43.6121815 38.8971951 43.7633121 45.5295230
[3481] 39.3384192 22.8282959 29.8376245 36.4475357 39.0878869 40.0291950
[3487] 28.1589809 41.1109310 45.8301112 40.7267284 44.0083374 44.1660108
[3493] 23.1036615 40.7421004 24.8968269 41.3123694 37.3751267 43.9878295
[3499] 35.6122066 39.9154846 45.4052879 38.5798635 22.9806041 40.2819591
[3505] 11.7807213 14.8229442 37.3756091 41.5818113 43.9715393 34.6707465
[3511] 45.3686922 44.1102752 45.8290603 41.7563876 25.4983784 44.7700583
[3517] 24.8461554 39.6361629 45.5167313 32.5161075 29.6550189 39.9216935
[3523] 43.9018615 44.5730137 28.7173269 19.7952239 25.4419055 42.3420189
[3529] 39.3216496 19.2953557 41.5949921 41.5107442 34.6371088 36.9493483
[3535] 39.2232928 44.7173362 27.0155869 25.0478353  8.9342071 45.4404584
[3541] 40.6221546 42.0938755 41.0625283 38.5252105 21.1116671 32.3864873
[3547] 28.4045764 36.7934959 42.0668407 42.7200194  5.9376697 10.2945862
[3553] 13.8958442 37.5545094 45.2523359 15.6495235 33.5156539 44.9992612
[3559] 45.2276200 42.0851431 44.1402268 23.6499043 43.5675142 43.8952234
[3565] 37.9523171 17.9023688 43.6665607 45.3178540 39.3109889 10.6312427
[3571] 33.3656177 43.9304955 42.1204322 20.0068804 43.0323941 36.8650879
[3577] 28.9679731 16.4188966  7.9082847 43.7782652 24.7059730 40.0703893
[3583] 31.1632488 26.5878678 45.6421445 44.0888207 30.4785108 44.7721162
[3589] 45.5323682 45.1214183 41.0139689 45.4544155 32.3430821 14.8961912
[3595] 35.1435567 45.3727175 34.5858041 32.6420604 43.0662839 44.9967604
[3601] 43.9884154 39.9707456 43.8929112 40.2928987 32.3619802 42.1945728
[3607] 45.1981712 25.0946665 17.8906609 41.4053408 10.7213660 43.4275063
[3613] 23.8737464 41.3758171 44.1758517 42.1589807 45.3710390 38.2509135
[3619] 43.9111501 20.8782596 41.5006943 41.2559696 39.7108034 34.0969330
[3625] 37.9209139 43.4392142 39.1352401 40.0527967 43.5716130 39.4860511
[3631] 45.4348008 19.6637110 43.8746646 24.5416552 45.2887997 41.4459159
[3637] 42.2363899  0.1798951 41.5879722 45.4621153 32.0206713 39.8476117
[3643] 40.8906323 44.9550442 30.1354161 38.9392786 42.5542804 43.9861597
[3649] 42.2057545 45.6068344 31.4381948 34.4791100 38.1836522 35.6924225
[3655] 23.0325595 40.1051318 42.5668461 43.9692249 30.7184744 42.6328045
[3661] 39.8434058 41.2163012 43.9552692 42.4651792 27.9121074 45.4364959
[3667] 34.8915587 39.6366676 41.2313708 41.9738178 22.6225915 20.5805261
[3673] 43.5529517 39.9404744 36.7530947 42.9026447 45.5110938 41.0319019
[3679] 36.9768049 40.2758233 45.4006673 39.4509868 19.0180571 43.7985456
[3685] 24.4940150 25.5492991 36.0100937 19.8564772 42.9516094 37.2546337
[3691] 44.7901221 39.7137855 39.4325665  8.5272977 43.7048446 45.4079503
[3697] 44.7403642 33.4021283 27.7875901 39.0740161 28.8635459 43.5180932
[3703] 37.5991957 43.9305515 29.0246598 15.9475045 45.2728441 40.8730042
[3709] 45.1651545 26.9185366 41.4237294 43.4428879 39.4971092  6.8024376
[3715] 43.8554077 39.2175751 43.6665518 45.3804240 45.2906992 43.9118623
[3721] 33.1110330 44.5707248 28.3810979 17.2453040 36.4927917 44.8561323
[3727] 11.8238708 45.3219317 26.5881689 21.0297073 23.3410575 45.0935631
[3733] 38.8778888 26.8457159 41.5317228 42.4387777 24.6003670 39.9574676
[3739] 41.6007895 42.6210587 45.4578032 33.0794267 17.9246723 31.8435245
[3745] 43.7699095 33.2704880 32.7545172 39.6373552 37.1368626 30.4580065
[3751] 43.4328083 37.1530464 38.7834808 34.0365984 38.5879489 43.8462607
[3757] 22.3930510 42.6483574 45.2773505 43.8938443 30.6358763 32.6108531
[3763] 45.4680174 43.8862352 33.6152740 31.9146723 43.3411180 41.8281990
[3769] 35.7715779 34.4072636 44.0243739 44.5532040 30.5794343 44.1220041
[3775] 41.5936763 27.9740330 39.3394721 42.1238071 22.6894978 30.8363998
[3781] 37.2955277 44.5480039 27.6955801 18.8272487 45.0146434  4.6609029
[3787] 45.3712652 29.6774512 34.5274602 45.5046844 12.1835152 24.9565652
[3793] 42.8967617 35.2688241 44.8804066 36.1055851 34.1708674 43.6231718
[3799] 45.5080493 44.8206130 31.4638852 38.5891694 45.5480040 27.1102580
[3805]  9.6003195 17.0526081 44.8096492 45.4376422 23.0060069 44.6981077
[3811] 41.9561347 40.5732478 37.3349577 33.5450462 21.1403688 44.0874964
[3817] 42.9606879 35.3058312 33.3816226 39.7387528 43.8216237 27.6729697
[3823] 45.1074312 10.6362181 36.6518294 45.3278791 36.2263854 45.4969919
[3829] 30.0445176 10.7027280 29.7899392 35.4892647 37.0361899 33.5419367
[3835] 43.9417044 44.5359752 42.2631238 27.7942093 43.9102398 45.2234269
[3841] 21.6246839 17.1482328 13.7812562 41.3263509 41.6438170 15.0663836
[3847] 35.6814713 30.9708283  5.8461088 38.0209598 23.6624512 11.6913040
[3853] 24.3057896 29.7240425 36.8392585 40.0113530 39.9693701 27.2686647
[3859] 33.3469986 45.5634779 44.7677804 43.5325027 34.8345595 38.7614261
[3865] 18.6891186 28.1151221 14.6063671 13.2019760 20.0273087 36.7436067
[3871] 45.3330523 31.8207156 26.4292949 32.8257690 45.2601941 45.9459781
[3877] 43.7420750 43.7490186 25.5232571 12.5505217 44.8109956 45.5160304
[3883] 40.3776672 45.4659664 39.9691080 28.0496019 45.5132086 21.4114452
[3889] 36.1368028 41.3544162 42.5890666 39.2618010 27.7454467 15.3508417
[3895] 20.9520647 40.8414527 42.1181402 43.8629855 27.2018227 41.5989961
[3901] 30.4975685 45.3121004 44.8052611 41.4673641 42.5058919 32.5555519
[3907]  6.8771162 42.0124517 45.5742014 40.1026692 37.1601796 34.1090939
[3913] 44.4983096 45.9521923 31.7827136 41.0679033 40.0663958 44.7806083
[3919] 45.5567993 26.4048866 33.7962959 33.9026836 14.9666001 43.7057269
[3925] 29.0161450 45.5558332 42.2932815 43.0795321 29.6428904 41.0178492
[3931] 44.0278456 45.5413829 44.9539100 39.0721872 34.4087455 36.0725389
[3937]  7.5805671 31.6569943 28.5885572 45.4239805 39.8593631 35.3272063
[3943] 45.7244567 38.0019648 12.7310086 34.5698251 31.0828098 39.0111701
[3949] 41.6158711 44.7068923 45.1186643 43.7803797 35.8337533 45.5027236
[3955] 33.4936000 40.3067008 43.5971183 41.9035663 44.7533909 25.8481733
[3961] 42.6366215  7.0957285 41.2210888  8.1001123 40.9893218 22.0596248
[3967] 41.5625414 45.3405326 42.1700021 45.8237080 43.9466453 43.7892318
[3973] 43.5695962 32.1601692 38.7828589 39.2856697 38.5744103 42.1613349
[3979] 45.1137185 45.6389451 43.9164798 45.4322124 37.5684721 35.0816467
[3985] 44.5205228 45.4944140 40.6895371 32.5657858 38.7407245 24.0599181
[3991] 26.9264309 32.7012493 23.3281790 39.6779880 40.8965721 30.2626887
[3997] 41.6052942 18.6274506 45.7446213 41.5748557 42.3958811 32.1028928
[4003] 41.2275568 26.8629506 18.3918806 30.3095062 45.5027898 36.9637082
[4009] 26.9526960 44.8186108 44.9021483 25.4286889 44.6621295 23.8379850
[4015] 14.0876020 32.2826755 45.4436495 40.1095402 31.9308991 39.2961407
[4021] 38.2435535 40.1204885 45.3879137 35.5085292 24.5264148 22.9439892
[4027] 37.1536077 24.6367986 18.4793462 44.4846050 38.6274712 41.6879074
[4033] 30.4112775 42.2453509 44.0527928 41.0249320 44.1597190 24.9779083
[4039] 38.0519541 44.0188980 40.2345195 45.7902858 43.1870494 39.6549429
[4045] 31.0615195 34.9625254 34.1583197 45.2844096 30.8477707 23.6050910
[4051] 45.5948771 40.8913999 40.5379426 42.1336115 45.4867663 39.0714917
[4057] 41.2915521 45.1066287 38.9181154 34.8714078 31.7988611 28.7603181
[4063] 15.0624510 43.4864206 42.9290259 39.6629326 28.8222673 20.5738641
[4069] 39.9171137 22.5056142 44.4648936 35.0185600 43.2683942 37.3597908
[4075] 44.0890028 20.7264400 18.7402080 45.5670849 40.7719514 34.4292522
[4081] 45.7967980 39.0885811 17.3104258 27.0166354 45.5163944 28.6488966
[4087] 33.7367804 44.8452032 23.3690501 39.7508865 35.6662940 37.0941382
[4093] 37.2899038 28.8560469 40.9873517 37.3776693 16.1852417 44.2472915
[4099] 44.9297893 33.8943805 22.1133391 26.5841362 40.0345991 32.8968979
[4105] 45.8246708 41.5980838 26.3385299 41.0894572 28.3482553 45.5677538
[4111] 30.9077237 23.5471936 44.9754014 45.4870473 29.7453425 45.6059471
[4117] 45.9107026 29.8570357 45.5217364 36.6298061 44.0189621 41.6243102
[4123] 45.5346547 41.7220634 40.9198947 43.5948826 41.5029665 23.1500399
[4129] 23.1445181 39.9893938 45.4964335 44.8460847 44.5077663 44.8002453
[4135] 18.1491870 10.2543750 19.3794357 42.8064741 29.5295055 45.6024219
[4141] 38.1242181 45.5179501 42.2372899 26.6757943 19.9810647 44.8771651
[4147] 43.4171769 44.4837232 25.5788147 44.8117170 42.6168951 43.5321379
[4153] 43.9701651 45.5788169 45.4123584 20.9859570 30.6770809 34.0370715
[4159] 42.9954333 30.2224261 30.1688154 19.6934602 19.5470423 42.5569945
[4165] 28.8053588 39.6693931 24.5909262 28.8259039 40.9125744 41.5242936
[4171] 45.2681265 43.9897519 43.8668824 44.7619582 42.5710603 41.0255203
[4177] 45.4372056 24.8242965 40.5889279 27.5605778 43.7276276 30.7064414
[4183] 36.2527594 36.5033223 24.2927395 23.8027398 31.1426908 43.9391216
[4189] 40.5895874 40.5577715 43.6696954 40.2174654 45.0375116 39.8898725
[4195] 43.7447770 45.6138753 27.8250455 31.4039326 40.1707297 44.6256325
[4201] 10.3247179 18.3605185 16.7084651 38.8990451 41.4762505 26.5880182
[4207] 41.0134000 28.8629514 41.0580141 21.8254630 35.1724279 12.2962388
[4213] 20.0559017 43.7679500 40.0303321 43.6863034 36.2492504 45.3639953
[4219] 45.5987142 40.6153591 41.1211809 38.7107495 41.4846398 30.0196809
[4225] 44.7784176 12.7163808 30.7834327 19.1474017 22.4127519 27.5388569
[4231] 27.4937336 23.8121320 43.9369999  8.9917102  8.3485855 34.0777149
[4237]  3.2093605 45.0582570 38.7475794 45.1549931 33.8834357 45.3041859
[4243] 42.5422685 24.0334564 32.6501062 44.9034846 28.3253713 40.5328529
[4249] 16.7726158 42.0467443 23.8483692 19.8602746 33.5819904 29.0236733
[4255] 24.2048300 20.2235045 38.0776742 19.7061337 39.9670994 36.9138933
[4261] 41.3986945 36.9284367 37.8246522 32.9639289 40.5876342 42.5923224
[4267] 45.5274349 15.5828205 34.0969005 22.7796658 39.8984725 21.9639388
[4273] 43.7266869  9.9643478 28.1992329 45.1731230 40.5144508 40.0020348
[4279] 24.0148207 44.4397810 40.4533289 43.3118489 44.7232042 41.4851328
[4285] 44.8310160 44.7970376 20.9294308 29.2912398 39.7501506
[1] 0.2222195

fdrtool documentation built on Nov. 14, 2021, 1:07 a.m.

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