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Last data update: 2014.03.03
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R: Make ROC curve data.
Make ROC curve data.
Description
Computes the points on an ROC curve by varying a threshold on the sorted outputs of the method in question.
Usage
rocStats(outputs, groundTruthLabels, decreasing = TRUE)
Arguments
outputs |
A numeric vector with the outputs of the evaluated method (e.g. likelihoods from gprege).
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groundTruthLabels |
A binary vector than contains the ground truth (e.g. which genes belong in the top-100 ground truth list).
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decreasing |
Logical. TRUE sorts outputs by decreazing order.
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Value
stats |
A list of numeric variables with the necessary statistics to compute an ROC curve, a precision-recall curve, etc.
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Examples
## see compareROC.R
data(FragmentDellaGattaData) ## Load demo data.
rocStats(gpregeOutput$rankingScores, DGatta_labels_byTSNItop100, decreasing=TRUE)
Results
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.
R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.
Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.
> library(gprege)
Loading required package: gptk
Loading required package: Matrix
Loading required package: fields
Loading required package: spam
Loading required package: grid
Spam version 1.3-0 (2015-10-24) is loaded.
Type 'help( Spam)' or 'demo( spam)' for a short introduction
and overview of this package.
Help for individual functions is also obtained by adding the
suffix '.spam' to the function name, e.g. 'help( chol.spam)'.
Attaching package: 'spam'
The following objects are masked from 'package:base':
backsolve, forwardsolve
Loading required package: maps
# maps v3.1: updated 'world': all lakes moved to separate new #
# 'lakes' database. Type '?world' or 'news(package="maps")'. #
> png(filename="/home/ddbj/snapshot/RGM3/R_BC/result/gprege/rocStats.Rd_%03d_medium.png", width=480, height=480)
> ### Name: rocStats
> ### Title: Make ROC curve data.
> ### Aliases: rocStats
>
> ### ** Examples
>
> ## see compareROC.R
> data(FragmentDellaGattaData) ## Load demo data.
> rocStats(gpregeOutput$rankingScores, DGatta_labels_byTSNItop100, decreasing=TRUE)
$FDR
[1] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[8] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[15] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[22] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[29] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[36] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[43] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[50] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[57] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[64] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[71] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[78] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[85] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[92] 1.0000000 1.0000000 0.9893617 0.9894737 0.9895833 0.9896907 0.9897959
[99] 0.9898990 0.9900000 0.9900990 0.9901961 0.9902913 0.9903846 0.9904762
[106] 0.9905660 0.9906542 0.9907407 0.9908257 0.9909091 0.9909910 0.9910714
[113] 0.9911504 0.9912281 0.9913043 0.9913793 0.9914530 0.9915254 0.9915966
[120] 0.9916667 0.9834711 0.9754098 0.9756098 0.9758065 0.9760000 0.9761905
[127] 0.9685039 0.9687500 0.9689922 0.9692308 0.9694656 0.9696970 0.9699248
[134] 0.9626866 0.9629630 0.9632353 0.9635036 0.9637681 0.9640288 0.9642857
[141] 0.9645390 0.9647887 0.9650350 0.9652778 0.9655172 0.9657534 0.9659864
[148] 0.9662162 0.9664430 0.9666667 0.9668874 0.9671053 0.9673203 0.9675325
[155] 0.9677419 0.9679487 0.9681529 0.9683544 0.9685535 0.9687500 0.9689441
[162] 0.9691358 0.9693252 0.9695122 0.9696970 0.9698795 0.9700599 0.9702381
[169] 0.9704142 0.9705882 0.9707602 0.9709302 0.9710983 0.9712644 0.9714286
[176] 0.9715909 0.9717514 0.9719101 0.9720670 0.9722222 0.9723757 0.9725275
[183] 0.9726776 0.9728261 0.9729730 0.9731183 0.9732620 0.9734043 0.9735450
[190] 0.9684211 0.9685864 0.9687500 0.9689119 0.9690722 0.9692308 0.9693878
[197] 0.9695431 0.9696970 0.9698492 0.9700000 0.9701493 0.9702970 0.9704433
[204] 0.9705882 0.9707317 0.9708738 0.9710145 0.9711538 0.9712919 0.9714286
[211] 0.9715640 0.9716981 0.9718310 0.9719626 0.9720930 0.9722222 0.9723502
[218] 0.9724771 0.9726027 0.9727273 0.9728507 0.9729730 0.9730942 0.9732143
[225] 0.9733333 0.9734513 0.9735683 0.9736842 0.9737991 0.9739130 0.9740260
[232] 0.9741379 0.9742489 0.9743590 0.9744681 0.9745763 0.9746835 0.9747899
[239] 0.9748954 0.9750000 0.9751037 0.9752066 0.9753086 0.9754098 0.9755102
[246] 0.9756098 0.9757085 0.9758065 0.9759036 0.9760000 0.9760956 0.9761905
[253] 0.9762846 0.9763780 0.9764706 0.9726562 0.9727626 0.9728682 0.9729730
[260] 0.9730769 0.9731801 0.9732824 0.9733840 0.9734848 0.9735849 0.9736842
[267] 0.9737828 0.9738806 0.9739777 0.9740741 0.9741697 0.9705882 0.9706960
[274] 0.9708029 0.9709091 0.9710145 0.9711191 0.9712230 0.9713262 0.9714286
[281] 0.9715302 0.9716312 0.9717314 0.9718310 0.9719298 0.9720280 0.9721254
[288] 0.9722222 0.9723183 0.9724138 0.9725086 0.9726027 0.9726962 0.9727891
[295] 0.9728814 0.9729730 0.9730640 0.9731544 0.9732441 0.9733333 0.9734219
[302] 0.9735099 0.9735974 0.9736842 0.9737705 0.9705882 0.9706840 0.9707792
[309] 0.9708738 0.9709677 0.9710611 0.9711538 0.9712460 0.9713376 0.9714286
[316] 0.9715190 0.9716088 0.9685535 0.9686520 0.9687500 0.9688474 0.9689441
[323] 0.9690402 0.9691358 0.9692308 0.9693252 0.9694190 0.9695122 0.9696049
[330] 0.9696970 0.9697885 0.9698795 0.9699700 0.9700599 0.9701493 0.9702381
[337] 0.9703264 0.9704142 0.9705015 0.9705882 0.9706745 0.9707602 0.9708455
[344] 0.9709302 0.9710145 0.9710983 0.9711816 0.9712644 0.9713467 0.9714286
[351] 0.9715100 0.9715909 0.9716714 0.9717514 0.9718310 0.9719101 0.9719888
[358] 0.9720670 0.9721448 0.9722222 0.9722992 0.9723757 0.9724518 0.9725275
[365] 0.9726027 0.9726776 0.9727520 0.9728261 0.9728997 0.9729730 0.9730458
[372] 0.9731183 0.9731903 0.9732620 0.9706667 0.9707447 0.9708223 0.9708995
[379] 0.9709763 0.9710526 0.9685039 0.9685864 0.9686684 0.9687500 0.9688312
[386] 0.9689119 0.9689922 0.9690722 0.9691517 0.9666667 0.9667519 0.9668367
[393] 0.9669211 0.9670051 0.9670886 0.9671717 0.9672544 0.9673367 0.9674185
[400] 0.9675000 0.9675810 0.9676617 0.9677419 0.9678218 0.9679012 0.9679803
[407] 0.9680590 0.9681373 0.9682152 0.9682927 0.9683698 0.9684466 0.9685230
[414] 0.9685990 0.9686747 0.9663462 0.9664269 0.9665072 0.9665871 0.9666667
[421] 0.9667458 0.9668246 0.9669031 0.9669811 0.9670588 0.9671362 0.9672131
[428] 0.9672897 0.9673660 0.9674419 0.9675174 0.9675926 0.9676674 0.9677419
[435] 0.9678161 0.9678899 0.9679634 0.9680365 0.9681093 0.9681818 0.9682540
[442] 0.9683258 0.9683973 0.9684685 0.9685393 0.9686099 0.9686801 0.9687500
[449] 0.9688196 0.9666667 0.9667406 0.9668142 0.9668874 0.9669604 0.9670330
[456] 0.9671053 0.9671772 0.9672489 0.9673203 0.9673913 0.9674620 0.9675325
[463] 0.9676026 0.9676724 0.9677419 0.9678112 0.9678801 0.9679487 0.9680171
[470] 0.9680851 0.9681529 0.9682203 0.9682875 0.9683544 0.9684211 0.9684874
[477] 0.9685535 0.9686192 0.9686848 0.9687500 0.9688150 0.9688797 0.9689441
[484] 0.9690083 0.9690722 0.9691358 0.9691992 0.9672131 0.9672802 0.9673469
[491] 0.9674134 0.9674797 0.9675456 0.9676113 0.9676768 0.9657258 0.9657948
[498] 0.9638554 0.9639279 0.9640000 0.9640719 0.9641434 0.9642147 0.9642857
[505] 0.9643564 0.9644269 0.9644970 0.9645669 0.9626719 0.9627451 0.9628180
[512] 0.9628906 0.9629630 0.9630350 0.9631068 0.9631783 0.9613153 0.9613900
[519] 0.9614644 0.9615385 0.9616123 0.9616858 0.9617591 0.9618321 0.9619048
[526] 0.9619772 0.9620493 0.9621212 0.9621928 0.9622642 0.9623352 0.9624060
[533] 0.9624765 0.9625468 0.9626168 0.9626866 0.9627561 0.9628253 0.9628942
[540] 0.9611111 0.9611830 0.9612546 0.9613260 0.9613971 0.9614679 0.9615385
[547] 0.9616088 0.9616788 0.9617486 0.9618182 0.9618875 0.9619565 0.9620253
[554] 0.9620939 0.9621622 0.9622302 0.9605027 0.9605735 0.9606440 0.9607143
[561] 0.9607843 0.9608541 0.9609236 0.9609929 0.9610619 0.9611307 0.9611993
[568] 0.9612676 0.9613357 0.9614035 0.9614711 0.9615385 0.9616056 0.9616725
[575] 0.9617391 0.9618056 0.9618718 0.9619377 0.9620035 0.9620690 0.9621343
[582] 0.9621993 0.9622642 0.9623288 0.9623932 0.9624573 0.9625213 0.9625850
[589] 0.9626486 0.9627119 0.9627750 0.9628378 0.9629005 0.9629630 0.9630252
[596] 0.9630872 0.9631491 0.9632107 0.9632721 0.9633333 0.9633943 0.9634551
[603] 0.9635158 0.9635762 0.9636364 0.9636964 0.9637562 0.9638158 0.9638752
[610] 0.9639344 0.9639935 0.9640523 0.9641109 0.9641694 0.9642276 0.9642857
[617] 0.9643436 0.9644013 0.9644588 0.9645161 0.9645733 0.9646302 0.9646870
[624] 0.9647436 0.9648000 0.9648562 0.9649123 0.9649682 0.9650238 0.9650794
[631] 0.9651347 0.9651899 0.9652449 0.9652997 0.9653543 0.9654088 0.9654631
[638] 0.9655172 0.9655712 0.9656250 0.9656786 0.9657321 0.9657854 0.9658385
[645] 0.9658915 0.9659443 0.9659969 0.9660494 0.9661017 0.9661538 0.9662058
[652] 0.9662577 0.9663093 0.9663609 0.9664122 0.9664634 0.9665145 0.9665653
[659] 0.9650986 0.9651515 0.9652042 0.9652568 0.9653092 0.9653614 0.9654135
[666] 0.9654655 0.9655172 0.9655689 0.9656203 0.9656716 0.9657228 0.9657738
[673] 0.9658247 0.9658754 0.9659259 0.9659763 0.9660266 0.9660767 0.9661267
[680] 0.9661765 0.9662261 0.9662757 0.9663250 0.9663743 0.9664234 0.9664723
[687] 0.9665211 0.9665698 0.9666183 0.9666667 0.9667149 0.9653179 0.9653680
[694] 0.9639769 0.9640288 0.9640805 0.9641320 0.9641834 0.9642346 0.9642857
[701] 0.9643367 0.9643875 0.9644381 0.9644886 0.9645390 0.9645892 0.9646393
[708] 0.9646893 0.9647391 0.9647887 0.9648383 0.9648876 0.9649369 0.9649860
[715] 0.9650350 0.9650838 0.9651325 0.9651811 0.9652295 0.9652778 0.9653259
[722] 0.9653740 0.9654219 0.9654696 0.9655172 0.9655647 0.9656121 0.9656593
[729] 0.9657064 0.9657534 0.9658003 0.9658470 0.9658936 0.9659401 0.9659864
[736] 0.9660326 0.9660787 0.9661247 0.9661705 0.9662162 0.9662618 0.9663073
[743] 0.9663526 0.9663978 0.9664430 0.9664879 0.9651941 0.9652406 0.9639519
[750] 0.9640000 0.9640479 0.9640957 0.9641434 0.9641910 0.9642384 0.9642857
[757] 0.9643329 0.9643799 0.9644269 0.9644737 0.9645204 0.9645669 0.9646134
[764] 0.9646597 0.9647059 0.9647520 0.9647979 0.9648438 0.9648895 0.9649351
[771] 0.9649805 0.9650259 0.9650712 0.9651163 0.9651613 0.9652062 0.9652510
[778] 0.9640103 0.9640565 0.9641026 0.9641485 0.9629156 0.9629630 0.9630102
[785] 0.9630573 0.9631043 0.9631512 0.9631980 0.9632446 0.9632911 0.9633375
[792] 0.9633838 0.9634300 0.9634761 0.9635220 0.9635678 0.9636136 0.9636591
[799] 0.9637046 0.9637500 0.9637953 0.9638404 0.9638854 0.9639303 0.9639752
[806] 0.9640199 0.9640644 0.9641089 0.9641533 0.9641975 0.9642417 0.9642857
[813] 0.9643296 0.9643735 0.9644172 0.9644608 0.9645043 0.9645477 0.9645910
[820] 0.9646341 0.9646772 0.9647202 0.9647631 0.9648058 0.9648485 0.9648910
[827] 0.9649335 0.9649758 0.9650181 0.9650602 0.9651023 0.9651442 0.9639856
[834] 0.9640288 0.9640719 0.9629187 0.9629630 0.9630072 0.9630513 0.9630952
[841] 0.9631391 0.9631829 0.9632266 0.9632701 0.9633136 0.9633570 0.9634002
[848] 0.9634434 0.9634865 0.9635294 0.9635723 0.9636150 0.9636577 0.9637002
[855] 0.9637427 0.9637850 0.9638273 0.9638695 0.9639115 0.9639535 0.9639954
[862] 0.9640371 0.9640788 0.9641204 0.9641618 0.9642032 0.9642445 0.9642857
[869] 0.9643268 0.9643678 0.9644087 0.9644495 0.9644903 0.9645309 0.9645714
[876] 0.9646119 0.9646522 0.9646925 0.9647327 0.9647727 0.9648127 0.9648526
[883] 0.9648924 0.9649321 0.9649718 0.9650113 0.9650507 0.9650901 0.9651294
[890] 0.9651685 0.9652076 0.9652466 0.9652856 0.9653244 0.9653631 0.9654018
[897] 0.9654404 0.9654788 0.9655172 0.9655556 0.9655938 0.9656319 0.9656700
[904] 0.9657080 0.9657459 0.9657837 0.9658214 0.9647577 0.9647965 0.9648352
[911] 0.9648738 0.9649123 0.9649507 0.9649891 0.9650273 0.9650655 0.9651036
[918] 0.9651416 0.9651795 0.9652174 0.9652552 0.9652928 0.9653304 0.9653680
[925] 0.9654054 0.9654428 0.9654800 0.9644397 0.9644779 0.9645161 0.9645542
[932] 0.9645923 0.9646302 0.9646681 0.9647059 0.9647436 0.9647812 0.9648188
[939] 0.9648562 0.9648936 0.9649309 0.9649682 0.9650053 0.9650424 0.9650794
[946] 0.9651163 0.9651531 0.9651899 0.9652266 0.9652632 0.9652997 0.9653361
[953] 0.9653725 0.9654088 0.9654450 0.9654812 0.9655172 0.9655532 0.9655892
[960] 0.9656250 0.9656608 0.9656965 0.9657321 0.9657676 0.9658031 0.9658385
[967] 0.9658738 0.9648760 0.9649123 0.9649485 0.9649846 0.9650206 0.9650565
[974] 0.9650924 0.9651282 0.9651639 0.9651996 0.9652352 0.9652707 0.9653061
[981] 0.9653415 0.9653768 0.9654120 0.9654472 0.9654822 0.9655172 0.9655522
[988] 0.9655870 0.9656218 0.9656566 0.9656912 0.9657258 0.9657603 0.9657948
[995] 0.9658291 0.9658635 0.9658977 0.9659319 0.9659660 0.9660000 0.9660340
[1002] 0.9660679 0.9661017 0.9661355 0.9661692 0.9662028 0.9662363 0.9662698
[1009] 0.9663033 0.9663366 0.9653808 0.9654150 0.9654492 0.9654832 0.9655172
[1016] 0.9655512 0.9655851 0.9656189 0.9656526 0.9656863 0.9657199 0.9657534
[1023] 0.9657869 0.9658203 0.9658537 0.9658869 0.9659202 0.9659533 0.9659864
[1030] 0.9660194 0.9660524 0.9660853 0.9661181 0.9661509 0.9661836 0.9662162
[1037] 0.9662488 0.9662813 0.9663138 0.9663462 0.9663785 0.9664107 0.9664430
[1044] 0.9664751 0.9665072 0.9665392 0.9665712 0.9666031 0.9666349 0.9666667
[1051] 0.9666984 0.9667300 0.9667616 0.9667932 0.9668246 0.9668561 0.9668874
[1058] 0.9669187 0.9669500 0.9669811 0.9670123 0.9670433 0.9670743 0.9671053
[1065] 0.9671362 0.9671670 0.9671978 0.9672285 0.9672591 0.9672897 0.9673203
[1072] 0.9664179 0.9664492 0.9664804 0.9665116 0.9665428 0.9665738 0.9666048
[1079] 0.9666358 0.9666667 0.9666975 0.9667283 0.9667590 0.9667897 0.9668203
[1086] 0.9668508 0.9668813 0.9669118 0.9669421 0.9669725 0.9670027 0.9670330
[1093] 0.9670631 0.9670932 0.9671233 0.9671533 0.9671832 0.9672131 0.9672429
[1100] 0.9672727 0.9673025 0.9673321 0.9673617 0.9673913 0.9674208 0.9674503
[1107] 0.9674797 0.9675090 0.9675383 0.9675676 0.9675968 0.9676259 0.9676550
[1114] 0.9676840 0.9677130 0.9677419 0.9677708 0.9677996 0.9678284 0.9678571
[1121] 0.9678858 0.9679144 0.9679430 0.9679715 0.9680000 0.9680284 0.9680568
[1128] 0.9680851 0.9681134 0.9681416 0.9681698 0.9681979 0.9682259 0.9682540
[1135] 0.9682819 0.9683099 0.9683377 0.9683656 0.9683933 0.9684211 0.9675723
[1142] 0.9676007 0.9676290 0.9676573 0.9676856 0.9677138 0.9677419 0.9677700
[1149] 0.9677981 0.9678261 0.9678540 0.9678819 0.9679098 0.9670711 0.9670996
[1156] 0.9671280 0.9671564 0.9671848 0.9672131 0.9672414 0.9672696 0.9672978
[1163] 0.9673259 0.9673540 0.9673820 0.9674099 0.9674379 0.9674658 0.9674936
[1170] 0.9675214 0.9675491 0.9675768 0.9676044 0.9676320 0.9676596 0.9676871
[1177] 0.9677145 0.9677419 0.9677693 0.9677966 0.9678239 0.9678511 0.9678783
[1184] 0.9679054 0.9679325 0.9679595 0.9679865 0.9680135 0.9680404 0.9680672
[1191] 0.9680940 0.9681208 0.9681475 0.9681742 0.9682008 0.9682274 0.9682540
[1198] 0.9674457 0.9674729 0.9675000 0.9666944 0.9667221 0.9667498 0.9667774
[1205] 0.9668050 0.9668325 0.9668600 0.9668874 0.9669148 0.9669421 0.9669694
[1212] 0.9669967 0.9661995 0.9662273 0.9662551 0.9662829 0.9663106 0.9663383
[1219] 0.9663659 0.9663934 0.9664210 0.9664484 0.9656582 0.9656863 0.9657143
[1226] 0.9657423 0.9657702 0.9657980 0.9658259 0.9658537 0.9658814 0.9659091
[1233] 0.9659367 0.9659643 0.9659919 0.9660194 0.9660469 0.9660743 0.9661017
[1240] 0.9661290 0.9661563 0.9661836 0.9662108 0.9662379 0.9662651 0.9662921
[1247] 0.9663192 0.9663462 0.9663731 0.9664000 0.9664269 0.9664537 0.9664804
[1254] 0.9665072 0.9665339 0.9665605 0.9665871 0.9666137 0.9666402 0.9666667
[1261] 0.9666931 0.9667195 0.9667458 0.9667722 0.9667984 0.9668246 0.9668508
[1268] 0.9668770 0.9669031 0.9669291 0.9669552 0.9669811 0.9670071 0.9670330
[1275] 0.9662745 0.9663009 0.9663273 0.9663537 0.9663800 0.9664063 0.9664325
[1282] 0.9664587 0.9664848 0.9665109 0.9665370 0.9665630 0.9665890 0.9666149
[1289] 0.9666408 0.9666667 0.9666925 0.9667183 0.9667440 0.9667697 0.9667954
[1296] 0.9668210 0.9668466 0.9668721 0.9668976 0.9669231 0.9661799 0.9662058
[1303] 0.9662318 0.9662577 0.9662835 0.9663093 0.9663351 0.9663609 0.9663866
[1310] 0.9664122 0.9664378 0.9664634 0.9664890 0.9665145 0.9665399 0.9665653
[1317] 0.9665907 0.9666161 0.9666414 0.9666667 0.9666919 0.9667171 0.9667423
[1324] 0.9667674 0.9667925 0.9668175 0.9668425 0.9668675 0.9668924 0.9669173
[1331] 0.9669421 0.9669670 0.9669917 0.9670165 0.9670412 0.9670659 0.9670905
[1338] 0.9671151 0.9671397 0.9671642 0.9671887 0.9672131 0.9664929 0.9665179
[1345] 0.9665428 0.9665676 0.9665924 0.9666172 0.9666420 0.9666667 0.9666913
[1352] 0.9667160 0.9667406 0.9667651 0.9667897 0.9668142 0.9668386 0.9668630
[1359] 0.9668874 0.9669118 0.9669361 0.9669604 0.9669846 0.9670088 0.9670330
[1366] 0.9670571 0.9670812 0.9671053 0.9671293 0.9671533 0.9671772 0.9672012
[1373] 0.9672251 0.9672489 0.9672727 0.9672965 0.9673203 0.9673440 0.9673677
[1380] 0.9673913 0.9674149 0.9674385 0.9674620 0.9674855 0.9675090 0.9675325
[1387] 0.9675559 0.9675793 0.9676026 0.9676259 0.9676492 0.9676724 0.9676956
[1394] 0.9677188 0.9677419 0.9677650 0.9677881 0.9678112 0.9678342 0.9678571
[1401] 0.9678801 0.9679030 0.9679259 0.9679487 0.9679715 0.9679943 0.9680171
[1408] 0.9680398 0.9680625 0.9680851 0.9681077 0.9681303 0.9681529 0.9681754
[1415] 0.9681979 0.9682203 0.9682428 0.9682652 0.9682875 0.9683099 0.9683322
[1422] 0.9683544 0.9683767 0.9683989 0.9684211 0.9684432 0.9684653 0.9684874
[1429] 0.9685094 0.9685315 0.9685535 0.9685754 0.9685973 0.9686192 0.9686411
[1436] 0.9686630 0.9686848 0.9687065 0.9687283 0.9687500 0.9687717 0.9687933
[1443] 0.9688150 0.9688366 0.9688581 0.9688797 0.9689012 0.9689227 0.9689441
[1450] 0.9689655 0.9689869 0.9690083 0.9690296 0.9690509 0.9690722 0.9690934
[1457] 0.9691146 0.9691358 0.9691570 0.9691781 0.9691992 0.9692202 0.9692413
[1464] 0.9692623 0.9692833 0.9693042 0.9693252 0.9693460 0.9693669 0.9693878
[1471] 0.9694086 0.9694293 0.9694501 0.9694708 0.9694915 0.9695122 0.9695328
[1478] 0.9695535 0.9695740 0.9695946 0.9696151 0.9696356 0.9696561 0.9696765
[1485] 0.9696970 0.9697174 0.9697377 0.9697581 0.9697784 0.9697987 0.9698189
[1492] 0.9698391 0.9698593 0.9698795 0.9698997 0.9699198 0.9699399 0.9699599
[1499] 0.9699800 0.9700000 0.9700200 0.9700399 0.9700599 0.9700798 0.9700997
[1506] 0.9701195 0.9701393 0.9701592 0.9695162 0.9695364 0.9695566 0.9695767
[1513] 0.9695968 0.9696169 0.9696370 0.9696570 0.9696770 0.9696970 0.9697169
[1520] 0.9697368 0.9697567 0.9697766 0.9697965 0.9698163 0.9698361 0.9698558
[1527] 0.9698756 0.9698953 0.9699150 0.9699346 0.9699543 0.9699739 0.9699935
[1534] 0.9700130 0.9700326 0.9694010 0.9694209 0.9694408 0.9694607 0.9694805
[1541] 0.9695003 0.9695201 0.9695399 0.9695596 0.9695793 0.9695990 0.9696186
[1548] 0.9696382 0.9696578 0.9696774 0.9696970 0.9697165 0.9697360 0.9697555
[1555] 0.9697749 0.9697943 0.9698137 0.9698331 0.9698525 0.9698718 0.9698911
[1562] 0.9699104 0.9699296 0.9699488 0.9699681 0.9699872 0.9700064 0.9700255
[1569] 0.9700446 0.9700637 0.9700827 0.9701018 0.9701208 0.9701398 0.9701587
[1576] 0.9701777 0.9701966 0.9702155 0.9702343 0.9702532 0.9702720 0.9702908
[1583] 0.9703095 0.9703283 0.9703470 0.9703657 0.9703844 0.9704030 0.9704216
[1590] 0.9704403 0.9704588 0.9704774 0.9704959 0.9705144 0.9705329 0.9705514
[1597] 0.9705698 0.9705882 0.9706066 0.9706250 0.9706433 0.9706617 0.9706800
[1604] 0.9706983 0.9707165 0.9707347 0.9707530 0.9707711 0.9707893 0.9708075
[1611] 0.9708256 0.9708437 0.9708617 0.9708798 0.9708978 0.9709158 0.9709338
[1618] 0.9709518 0.9709697 0.9709877 0.9710056 0.9710234 0.9710413 0.9710591
[1625] 0.9710769 0.9710947 0.9711125 0.9711302 0.9711479 0.9711656 0.9711833
[1632] 0.9712010 0.9712186 0.9712362 0.9712538 0.9712714 0.9712889 0.9713065
[1639] 0.9713240 0.9713415 0.9713589 0.9713764 0.9713938 0.9714112 0.9714286
[1646] 0.9714459 0.9714633 0.9714806 0.9714979 0.9715152 0.9715324 0.9715496
[1653] 0.9715668 0.9715840 0.9716012 0.9716184 0.9716355 0.9716526 0.9716697
[1660] 0.9716867 0.9717038 0.9717208 0.9717378 0.9717548 0.9717718 0.9717887
[1667] 0.9718056 0.9718225 0.9718394 0.9712575 0.9712747 0.9712919 0.9713090
[1674] 0.9713262 0.9713433 0.9713604 0.9713775 0.9713945 0.9714116 0.9714286
[1681] 0.9714456 0.9708680 0.9708853 0.9709026 0.9709199 0.9709371 0.9709544
[1688] 0.9709716 0.9709888 0.9710059 0.9710231 0.9710402 0.9710573 0.9710744
[1695] 0.9710914 0.9711085 0.9711255 0.9711425 0.9711595 0.9711765 0.9711934
[1702] 0.9712103 0.9712272 0.9712441 0.9712610 0.9712778 0.9712947 0.9713115
[1709] 0.9713283 0.9713450 0.9713618 0.9713785 0.9713952 0.9714119 0.9714286
[1716] 0.9714452 0.9714619 0.9714785 0.9714951 0.9715116 0.9715282 0.9715447
[1723] 0.9715612 0.9715777 0.9715942 0.9716107 0.9716271 0.9716435 0.9716599
[1730] 0.9716763 0.9716927 0.9717090 0.9717253 0.9717416 0.9717579 0.9717742
[1737] 0.9717904 0.9718067 0.9718229 0.9718391 0.9718553 0.9718714 0.9718876
[1744] 0.9719037 0.9719198 0.9719359 0.9719519 0.9719680 0.9719840 0.9720000
[1751] 0.9720160 0.9720320 0.9720479 0.9720639 0.9720798 0.9720957 0.9721116
[1758] 0.9721274 0.9721433 0.9721591 0.9721749 0.9721907 0.9722065 0.9722222
[1765] 0.9722380 0.9722537 0.9717035 0.9717195 0.9717354 0.9717514 0.9717674
[1772] 0.9717833 0.9717992 0.9718151 0.9718310 0.9718468 0.9718627 0.9718785
[1779] 0.9718943 0.9719101 0.9719259 0.9719416 0.9719574 0.9719731 0.9719888
[1786] 0.9720045 0.9720201 0.9720358 0.9720514 0.9720670 0.9720826 0.9720982
[1793] 0.9721138 0.9721293 0.9721448 0.9721604 0.9721758 0.9721913 0.9722068
[1800] 0.9722222 0.9722376 0.9722531 0.9717138 0.9717295 0.9717452 0.9717608
[1807] 0.9717764 0.9717920 0.9718076 0.9718232 0.9718388 0.9718543 0.9718698
[1814] 0.9718853 0.9719008 0.9719163 0.9719318 0.9719472 0.9719626 0.9719780
[1821] 0.9719934 0.9720088 0.9720241 0.9720395 0.9720548 0.9720701 0.9720854
[1828] 0.9721007 0.9721159 0.9721311 0.9721464 0.9721616 0.9721768 0.9721919
[1835] 0.9722071 0.9722222 0.9722373 0.9722524 0.9722675 0.9722826 0.9722977
[1842] 0.9723127 0.9723277 0.9723427 0.9723577 0.9723727 0.9723877 0.9724026
[1849] 0.9724175 0.9724324 0.9724473 0.9724622 0.9724771 0.9724919 0.9725067
[1856] 0.9725216 0.9725363 0.9725511 0.9725659 0.9725806 0.9725954 0.9726101
[1863] 0.9726248 0.9726395 0.9726542 0.9726688 0.9726834 0.9726981 0.9727127
[1870] 0.9727273 0.9727418 0.9727564 0.9727710 0.9727855 0.9728000 0.9728145
[1877] 0.9728290 0.9728435 0.9728579 0.9728723 0.9728868 0.9729012 0.9729156
[1884] 0.9729299 0.9729443 0.9729586 0.9729730 0.9729873 0.9730016 0.9730159
[1891] 0.9730301 0.9730444 0.9730586 0.9730729 0.9730871 0.9731013 0.9731154
[1898] 0.9731296 0.9731438 0.9731579 0.9731720 0.9731861 0.9732002 0.9732143
[1905] 0.9732283 0.9732424 0.9732564 0.9732704 0.9732844 0.9732984 0.9733124
[1912] 0.9733264 0.9733403 0.9733542 0.9733681 0.9733820 0.9733959 0.9734098
[1919] 0.9734237 0.9734375 0.9734513 0.9734651 0.9734789 0.9734927 0.9735065
[1926] 0.9735202 0.9735340 0.9735477 0.9735614 0.9735751 0.9735888 0.9736025
[1933] 0.9736161 0.9736298 0.9736434 0.9736570 0.9736706 0.9736842 0.9736978
[1940] 0.9737113 0.9737249 0.9737384 0.9737519 0.9737654 0.9737789 0.9737924
[1947] 0.9738059 0.9738193 0.9738327 0.9738462 0.9738596 0.9738730 0.9738863
[1954] 0.9738997 0.9739130 0.9739264 0.9739397 0.9739530 0.9739663 0.9739796
[1961] 0.9739929 0.9740061 0.9740194 0.9740326 0.9740458 0.9740590 0.9740722
[1968] 0.9740854 0.9740985 0.9741117 0.9741248 0.9741379 0.9741510 0.9741641
[1975] 0.9741772 0.9741903 0.9742033 0.9742164 0.9742294 0.9742424 0.9742554
[1982] 0.9742684 0.9742814 0.9742944 0.9743073 0.9743202 0.9743332 0.9743461
[1989] 0.9743590 0.9743719 0.9743847 0.9743976 0.9744104 0.9744233 0.9744361
[1996] 0.9744489 0.9744617 0.9744745 0.9744872 0.9740000 0.9740130 0.9740260
[2003] 0.9740389 0.9740519 0.9740648 0.9740778 0.9740907 0.9741036 0.9741165
[2010] 0.9741294 0.9741422 0.9741551 0.9741679 0.9741807 0.9741935 0.9742063
[2017] 0.9742191 0.9742319 0.9742447 0.9742574 0.9742702 0.9742829 0.9742956
[2024] 0.9743083 0.9743210 0.9743337 0.9743463 0.9743590 0.9743716 0.9743842
[2031] 0.9743968 0.9744094 0.9744220 0.9744346 0.9739558 0.9739686 0.9739813
[2038] 0.9739941 0.9740069 0.9740196 0.9740323 0.9740451 0.9740578 0.9740705
[2045] 0.9740831 0.9736070 0.9736199 0.9736328 0.9736457 0.9736585 0.9736714
[2052] 0.9736842 0.9736970 0.9737098 0.9737226 0.9737354 0.9737482 0.9737609
[2059] 0.9737737 0.9737864 0.9737991 0.9738118 0.9738245 0.9738372 0.9738499
[2066] 0.9738625 0.9738752 0.9738878 0.9739004 0.9739130 0.9739256 0.9739382
[2073] 0.9739508 0.9739634 0.9739759 0.9739884 0.9740010 0.9735322 0.9735450
[2080] 0.9735577 0.9735704 0.9735831 0.9735958 0.9736084 0.9736211 0.9736337
[2087] 0.9736464 0.9736590 0.9736716 0.9736842 0.9736968 0.9737094 0.9737219
[2094] 0.9737345 0.9737470 0.9737595 0.9737721 0.9737846 0.9737970 0.9738095
[2101] 0.9738220 0.9738344 0.9738469 0.9738593 0.9738717 0.9738841 0.9738965
[2108] 0.9739089 0.9739213 0.9739336 0.9739460 0.9739583 0.9739707 0.9739830
[2115] 0.9739953 0.9740076 0.9740198 0.9740321 0.9740444 0.9740566 0.9740688
[2122] 0.9740811 0.9740933 0.9741055 0.9741176 0.9741298 0.9741420 0.9741541
[2129] 0.9741663 0.9741784 0.9741905 0.9742026 0.9742147 0.9742268 0.9742389
[2136] 0.9742509 0.9742630 0.9742750 0.9742871 0.9742991 0.9743111 0.9743231
[2143] 0.9743350 0.9743470 0.9743590 0.9743709 0.9743829 0.9743948 0.9744067
[2150] 0.9744186 0.9744305 0.9744424 0.9744542 0.9744661 0.9744780 0.9744898
[2157] 0.9745016 0.9745134 0.9745252 0.9745370 0.9745488 0.9745606 0.9745724
[2164] 0.9745841 0.9745958 0.9746076 0.9746193 0.9746310 0.9746427 0.9746544
[2171] 0.9746661 0.9746777 0.9746894 0.9747010 0.9742529 0.9742647 0.9742765
[2178] 0.9742883 0.9743001 0.9743119 0.9743237 0.9743355 0.9743472 0.9743590
[2185] 0.9743707 0.9743824 0.9743941 0.9744059 0.9744175 0.9744292 0.9744409
[2192] 0.9744526 0.9744642 0.9744758 0.9744875 0.9744991 0.9745107 0.9745223
[2199] 0.9745339 0.9745455 0.9745570 0.9745686 0.9745801 0.9745917 0.9746032
[2206] 0.9746147 0.9746262 0.9746377 0.9746492 0.9746606 0.9746721 0.9746835
[2213] 0.9746950 0.9747064 0.9747178 0.9747292 0.9747406 0.9747520 0.9747634
[2220] 0.9747748 0.9747861 0.9747975 0.9748088 0.9748201 0.9748315 0.9748428
[2227] 0.9748541 0.9748654 0.9748766 0.9748879 0.9748991 0.9749104 0.9749216
[2234] 0.9749329 0.9749441 0.9749553 0.9749665 0.9749777 0.9749888 0.9750000
[2241] 0.9750112 0.9745763 0.9745876 0.9745989 0.9746102 0.9746215 0.9746328
[2248] 0.9746441 0.9746554 0.9746667 0.9746779 0.9746892 0.9747004 0.9747116
[2255] 0.9747228 0.9747340 0.9747452 0.9747564 0.9747676 0.9747788 0.9747899
[2262] 0.9748011 0.9748122 0.9748233 0.9748344 0.9748455 0.9748566 0.9748677
[2269] 0.9748788 0.9748899 0.9749009 0.9749120 0.9749230 0.9749340 0.9749451
[2276] 0.9749561 0.9749671 0.9749781 0.9749890 0.9750000 0.9750110 0.9750219
[2283] 0.9750329 0.9750438 0.9750547 0.9750656 0.9750765 0.9750874 0.9750983
[2290] 0.9751092 0.9751200 0.9751309 0.9751417 0.9751526 0.9751634 0.9751742
[2297] 0.9751850 0.9751958 0.9752066 0.9752174 0.9752282 0.9752389 0.9752497
[2304] 0.9752604 0.9752711 0.9752819 0.9752926 0.9753033 0.9753140 0.9753247
[2311] 0.9753354 0.9753460 0.9753567 0.9753673 0.9753780 0.9753886 0.9753992
[2318] 0.9754098 0.9754204 0.9754310 0.9754416 0.9754522 0.9754628 0.9754733
[2325] 0.9754839 0.9754944 0.9755049 0.9755155 0.9755260 0.9755365 0.9755470
[2332] 0.9755575 0.9755679 0.9755784 0.9755889 0.9755993 0.9756098 0.9756202
[2339] 0.9756306 0.9756410 0.9756514 0.9756618 0.9756722 0.9756826 0.9756930
[2346] 0.9757033 0.9757137 0.9757240 0.9757344 0.9757447 0.9757550 0.9757653
[2353] 0.9757756 0.9757859 0.9757962 0.9758065 0.9758167 0.9758270 0.9758372
[2360] 0.9758475 0.9758577 0.9758679 0.9758781 0.9758883 0.9758985 0.9759087
[2367] 0.9759189 0.9759291 0.9759392 0.9759494 0.9759595 0.9759696 0.9759798
[2374] 0.9759899 0.9760000 0.9760101 0.9760202 0.9760303 0.9760404 0.9760504
[2381] 0.9760605 0.9760705 0.9760806 0.9760906 0.9761006 0.9761106 0.9761207
[2388] 0.9761307 0.9761406 0.9761506 0.9761606 0.9761706 0.9761805 0.9761905
[2395] 0.9762004 0.9762104 0.9762203 0.9762302 0.9762401 0.9762500 0.9762599
[2402] 0.9762698 0.9762797 0.9762895 0.9762994 0.9763092 0.9763191 0.9763289
[2409] 0.9763387 0.9763485 0.9763584 0.9763682 0.9763780 0.9763877 0.9763975
[2416] 0.9764073 0.9764170 0.9764268 0.9764365 0.9764463 0.9764560 0.9764657
[2423] 0.9764754 0.9764851 0.9764948 0.9765045 0.9765142 0.9765239 0.9765336
[2430] 0.9761317 0.9761415 0.9761513 0.9761611 0.9761709 0.9761807 0.9761905
[2437] 0.9762002 0.9762100 0.9762198 0.9762295 0.9762392 0.9762490 0.9762587
[2444] 0.9762684 0.9762781 0.9762878 0.9762975 0.9763072 0.9763169 0.9763265
[2451] 0.9763362 0.9763458 0.9763555 0.9763651 0.9763747 0.9763844 0.9763940
[2458] 0.9764036 0.9764132 0.9764228 0.9764323 0.9764419 0.9764515 0.9764610
[2465] 0.9764706 0.9764801 0.9764897 0.9764992 0.9765087 0.9765182 0.9765277
[2472] 0.9765372 0.9765467 0.9765562 0.9765657 0.9765751 0.9765846 0.9765940
[2479] 0.9766035 0.9766129 0.9766223 0.9766317 0.9766412 0.9766506 0.9766600
[2486] 0.9766693 0.9766787 0.9766881 0.9766975 0.9767068 0.9767162 0.9767255
[2493] 0.9767349 0.9767442 0.9767535 0.9767628 0.9767721 0.9767814 0.9767907
[2500] 0.9768000 0.9768093 0.9768185 0.9768278 0.9768371 0.9768463 0.9768555
[2507] 0.9768648 0.9768740 0.9768832 0.9768924 0.9769016 0.9769108 0.9769200
[2514] 0.9769292 0.9769384 0.9769475 0.9769567 0.9769658 0.9769750 0.9769841
[2521] 0.9769933 0.9770024 0.9770115 0.9770206 0.9770297 0.9770388 0.9770479
[2528] 0.9770570 0.9770660 0.9770751 0.9770842 0.9770932 0.9771023 0.9771113
[2535] 0.9771203 0.9771293 0.9771384 0
|
providing 
.