predict.mtlr: Predictions for MTLR
In MTLR: Survival Prediction with Multi-Task Logistic Regression
Description
Usage
Arguments
Value
Note
See Also
Examples
Description
Compute survival curves and other fitted values for a model generated by mtlr.
Usage
1
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Arguments
object
an object of class mtlr, generated by the mtlr.
newdata
an optional new dataframe for which to perform predictions using MTLR. If left empty, predictions will
be performed using the dataset used to generate the original mtlr object – note that any error calculation on these
predictions will be optimistic since this will only be the resubstitution error and not be representative of error on a new test set.
type
the type of prediction desired. Options are the survival curve for the time points selected by mtlr ("survivalcurve"), the
survival curve for given times ("prob_times"), the probability of survival at the observations event time ("prob_event"),
the mean survival time ("mean_time"), and the median survival time ("median_time").
For "survivalcurve" and "prob_times", the first column of the matrix returned will correspond to the time points and all other columns will be
the observations survival probability at those associated time points. The index of a (row) observation in newdata will correspond
to the ith + 1 column of the returned matrix.
If "prob_event" is chosen the response (event time) is required. For both "prob_event" and "prob_times", if the event time is larger
than all of the time points used to build the mtlr model then the last (lowest) probability is used. For example, if the event time is
100 but the largest time point estimated by the mtlr model was 80 then the survival probability at 100 is equal to the survival
probability at 80, i.e. S(100) = S(80).
For "mean_time", if survival curves do not extend to zero survival
probability a linear extension is added (a linear line from (time = 0,probability = 1) to (time = ?, probability =0)). This is the
same for "median_time" except the line need only extend to survival probability = 0.5.
A mean/median survival time of Inf is returned for survival curves with all survival probabilities of 1.
add_zero
if TRUE, a time point of "0" and a survival probability of "1" will be added to all survival curves. Additionally,
if add_zero is TRUE, type = "mean_time" will represent the average survival time overall but if FALSE, then "mean_time" will be reduced
by roughly the value of the first time point. However, "median_time" and "prob_event" will be unchanged.
times
For prediction method "prob_times" you may specify the times at which to predict the survival probability for each row in newdata.
This values defaults to all unique event times (both censored and uncensored) in the data on which the model was trained.
...
for future methods.
Value
The desired prediction type (a matrix or vector of predictions).
Note
The predictions generated by type = "survivalcurve" can be plotted using plotcurves – packages
ggplot2 and reshape2 must be installed to use this function.
See Also
Examples
1
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11
12
library(survival)
mod <- mtlr(Surv(time,status)~., data = lung)
#Here our predictions are on the data from which we trained so our results will be optimistic
# since they are produced from resubstitution as opposed to some new test set.
predict(mod, type = "survivalcurve")
predict(mod, type = "prob_event")
predict(mod, type = "median_time")
predict(mod, type = "mean_time")
#Notice the difference of about 59:
predict(mod, type = "mean_time", add_zero = FALSE)
Example output
time 1 2 3 4 5 6
1 0.00000 1.0000000 1.0000000 1.00000000 1.00000000 1.0000000 1.0000000
2 59.06667 0.9514767 0.9175115 0.87531735 0.89194803 0.9003080 0.9195465
3 95.00000 0.9115157 0.8445371 0.78048977 0.80073319 0.8178235 0.8493387
4 156.00000 0.8719596 0.7696637 0.68883239 0.71196119 0.7360071 0.7775833
5 177.53333 0.8340554 0.6983099 0.61170840 0.63531677 0.6672597 0.7088954
6 199.66667 0.8023258 0.6415465 0.55531926 0.57807124 0.6153757 0.6539649
7 222.40000 0.7711526 0.5908922 0.50820469 0.52902547 0.5703986 0.6052502
8 245.46667 0.7351686 0.5415476 0.46529971 0.48330076 0.5276470 0.5570390
9 283.53333 0.6896617 0.4915861 0.42353784 0.44042385 0.4857041 0.5079207
10 298.40000 0.6315382 0.4358641 0.37770222 0.39168558 0.4376535 0.4516624
11 347.00000 0.5626246 0.3779118 0.33144250 0.34153754 0.3869805 0.3931680
12 388.40000 0.4794154 0.3147646 0.27878528 0.28526819 0.3273796 0.3299412
13 457.80000 0.3836573 0.2476588 0.22154687 0.22496907 0.2610903 0.2629369
14 557.06667 0.2905490 0.1854639 0.16619132 0.16773357 0.1962896 0.1992891
15 703.93333 0.1584096 0.1022103 0.09340966 0.09566881 0.1121737 0.1124033
7 8 9 10 11 12 13
1 1.00000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000 1.0000000
2 0.88513142 0.9336398 0.9640014 0.9375283 0.88559325 0.89137497 0.9233755
3 0.79149735 0.8760126 0.9296592 0.8866918 0.78983722 0.79466813 0.8603528
4 0.69874571 0.8160941 0.8898787 0.8328603 0.68860125 0.69891468 0.7962808
5 0.61070100 0.7567816 0.8466907 0.7834548 0.59670513 0.61443615 0.7361855
6 0.54370126 0.7079537 0.8077673 0.7429971 0.52713182 0.55114023 0.6881363
7 0.48696096 0.6624861 0.7664610 0.7051060 0.46824019 0.49825701 0.6440268
8 0.43480165 0.6151768 0.7202590 0.6650199 0.41700866 0.45025646 0.5990406
9 0.38725099 0.5646903 0.6689047 0.6183425 0.37231258 0.40753658 0.5506434
10 0.33475753 0.5050682 0.6063405 0.5640932 0.32571926 0.35980050 0.4942925
11 0.28539285 0.4421913 0.5412680 0.5032478 0.28298396 0.31164714 0.4346063
12 0.23594318 0.3734688 0.4699753 0.4288088 0.23833848 0.25954293 0.3670737
13 0.18558088 0.2988087 0.3883119 0.3416992 0.19118491 0.20546542 0.2922945
14 0.13881796 0.2270895 0.3015665 0.2586038 0.14479877 0.15435564 0.2204527
15 0.07881679 0.1271425 0.1662694 0.1420683 0.08223235 0.08965795 0.1220377
14 15 16 17 18 19 20
1 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.00000000
2 0.9665264 0.9622983 0.9471423 0.9519553 0.85741730 0.9126331 0.83478730
3 0.9333736 0.9297899 0.9018420 0.9110610 0.74250334 0.8350605 0.70882349
4 0.8975493 0.8948080 0.8560129 0.8697331 0.62584326 0.7524879 0.59477156
5 0.8626990 0.8594039 0.8142922 0.8308416 0.52440387 0.6757830 0.49708882
6 0.8325288 0.8286333 0.7801890 0.7981744 0.45003379 0.6154946 0.42851504
7 0.8025129 0.7978891 0.7472538 0.7671110 0.38955249 0.5634784 0.37408098
8 0.7677306 0.7617508 0.7106492 0.7316909 0.33960198 0.5146890 0.32810460
9 0.7258413 0.7166224 0.6679593 0.6862721 0.29741844 0.4670006 0.28806003
10 0.6727250 0.6594345 0.6140609 0.6300818 0.25506966 0.4158574 0.24579618
11 0.6050204 0.5913112 0.5500037 0.5608928 0.21797880 0.3627786 0.20697681
12 0.5182437 0.5083161 0.4696977 0.4747936 0.18057421 0.3034116 0.16797638
13 0.4167588 0.4110057 0.3756283 0.3756759 0.14208821 0.2396311 0.12923097
14 0.3199940 0.3170080 0.2843332 0.2837154 0.10521044 0.1809458 0.09393525
15 0.1810506 0.1778424 0.1597614 0.1548784 0.05843256 0.1016463 0.05185607
21 22 23 24 25 26 27
1 1.0000000 1.00000000 1.00000000 1.0000000 1.00000000 1.0000000 1.00000000
2 0.9534719 0.85001172 0.89039994 0.9147125 0.88465532 0.9482240 0.83877377
3 0.9131454 0.73601171 0.79103545 0.8430424 0.79027864 0.9031782 0.70996618
4 0.8717106 0.63094893 0.68510540 0.7673146 0.69165994 0.8558630 0.58812080
5 0.8342095 0.54069119 0.59724328 0.6973560 0.59912510 0.8130323 0.48552767
6 0.8030608 0.47582236 0.53207727 0.6413629 0.52917668 0.7779200 0.41343923
7 0.7726450 0.42324131 0.47807814 0.5918524 0.46966584 0.7442492 0.35554995
8 0.7382253 0.37718031 0.43196877 0.5439017 0.41691398 0.7075757 0.30889972
9 0.6966283 0.33517121 0.39226112 0.4949966 0.37082756 0.6661160 0.27040547
10 0.6438998 0.28968204 0.35110212 0.4408489 0.32216642 0.6145815 0.23131102
11 0.5797706 0.24698435 0.30991203 0.3861915 0.27738414 0.5543482 0.19688435
12 0.4973756 0.20308760 0.26210867 0.3260083 0.23125320 0.4783369 0.16230236
13 0.3991815 0.15842562 0.20994715 0.2602087 0.18290880 0.3884269 0.12758211
14 0.3030659 0.11652071 0.15895387 0.1967993 0.13754009 0.2982154 0.09375039
15 0.1696602 0.06481502 0.09182192 0.1100681 0.07817261 0.1707876 0.05152525
28 29 30 31 32 33 34
1 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9611486 0.89453930 0.9074538 0.9721532 0.8930803 0.85631476 0.9283184
3 0.9267240 0.80901502 0.8291369 0.9474311 0.8061110 0.73952896 0.8730404
4 0.8916648 0.72639018 0.7501409 0.9217898 0.7199792 0.62933744 0.8221655
5 0.8588184 0.65262028 0.6828260 0.8956575 0.6443737 0.54524162 0.7737121
6 0.8307548 0.59669036 0.6313599 0.8727384 0.5872677 0.48621310 0.7353290
7 0.8026305 0.54802155 0.5854119 0.8488119 0.5381032 0.43892550 0.6991253
8 0.7694232 0.50186934 0.5415919 0.8183895 0.4924984 0.39856268 0.6590072
9 0.7280534 0.45537401 0.4987682 0.7794106 0.4477388 0.36176874 0.6117959
10 0.6731986 0.40345871 0.4497116 0.7245772 0.3984688 0.32274817 0.5513778
11 0.6062356 0.35015395 0.3987286 0.6545457 0.3486285 0.28257862 0.4830940
12 0.5225739 0.29124807 0.3391262 0.5661636 0.2930210 0.23505246 0.4051559
13 0.4239768 0.22837922 0.2723403 0.4608621 0.2330981 0.18367519 0.3194798
14 0.3243205 0.16935180 0.2051291 0.3574473 0.1749451 0.13497131 0.2387621
15 0.1825650 0.09262791 0.1160352 0.2069839 0.0972291 0.07559891 0.1311921
35 36 37 38 39 40 41
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9098916 0.9496853 0.9721945 0.9558635 0.9558898 0.9355087 0.9600031
3 0.8341022 0.9089883 0.9450879 0.9197054 0.9174600 0.8791453 0.9255807
4 0.7589220 0.8677354 0.9132757 0.8814444 0.8784309 0.8205530 0.8919497
5 0.6897924 0.8296619 0.8813085 0.8449523 0.8399707 0.7637767 0.8601716
6 0.6357746 0.7981535 0.8525777 0.8141727 0.8071266 0.7169064 0.8336498
7 0.5880261 0.7672921 0.8231388 0.7839152 0.7750451 0.6731569 0.8073884
8 0.5414105 0.7324712 0.7884642 0.7492385 0.7378708 0.6274862 0.7756897
9 0.4932689 0.6885487 0.7469813 0.7056674 0.6909161 0.5771591 0.7353954
10 0.4387645 0.6341445 0.6945758 0.6516149 0.6316632 0.5183422 0.6808166
11 0.3818022 0.5694530 0.6305376 0.5868854 0.5603152 0.4547695 0.6104040
12 0.3188521 0.4878453 0.5487158 0.5047524 0.4748755 0.3833324 0.5200329
13 0.2514532 0.3909636 0.4493361 0.4062787 0.3778632 0.3047432 0.4141556
14 0.1879819 0.2961044 0.3509356 0.3111329 0.2864052 0.2300483 0.3142938
15 0.1035587 0.1603792 0.2027969 0.1724257 0.1566935 0.1265596 0.1776335
42 43 44 45 46 47 48
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000
2 0.9528010 0.9452787 0.9039496 0.9647357 0.9496965 0.89074036 0.85014493
3 0.9089517 0.8964489 0.8254768 0.9317248 0.9049053 0.80106448 0.72851812
4 0.8631528 0.8477264 0.7458307 0.8942513 0.8585099 0.71448595 0.61230332
5 0.8201780 0.8039894 0.6772228 0.8508888 0.8161056 0.63889484 0.51279356
6 0.7841478 0.7682319 0.6252309 0.8115023 0.7810924 0.58195819 0.44153057
7 0.7491987 0.7343389 0.5792372 0.7704342 0.7473555 0.53311883 0.38463961
8 0.7106349 0.6972004 0.5352256 0.7225840 0.7101974 0.48763076 0.33731813
9 0.6667757 0.6537900 0.4925587 0.6692808 0.6671938 0.44191570 0.29639106
10 0.6118520 0.5996514 0.4437778 0.6015704 0.6137920 0.39181445 0.25463405
11 0.5473915 0.5346528 0.3928868 0.5302062 0.5501469 0.34007320 0.21603789
12 0.4689725 0.4538974 0.3328704 0.4552422 0.4701781 0.28229372 0.17647445
13 0.3789608 0.3612977 0.2651574 0.3722013 0.3766349 0.22071393 0.13665155
14 0.2895731 0.2720458 0.1995748 0.2896311 0.2858525 0.16312944 0.09999478
15 0.1638829 0.1514395 0.1142168 0.1649643 0.1606176 0.08865599 0.05498911
49 50 51 52 53 54 55
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9588277 0.9488227 0.9295537 0.9510054 0.9616334 0.89255509 0.9583380
3 0.9218225 0.9062805 0.8739392 0.9093821 0.9254030 0.80864888 0.9187978
4 0.8844407 0.8614755 0.8194394 0.8658342 0.8868679 0.72691147 0.8743002
5 0.8496788 0.8186229 0.7675157 0.8243291 0.8475156 0.65736213 0.8308789
6 0.8207029 0.7830756 0.7254952 0.7895929 0.8133573 0.60411506 0.7938244
7 0.7919593 0.7486443 0.6865881 0.7560922 0.7795534 0.55824171 0.7576977
8 0.7586839 0.7105274 0.6444814 0.7187650 0.7401991 0.51457918 0.7178796
9 0.7181423 0.6647899 0.5961721 0.6733738 0.6952590 0.46850805 0.6738245
10 0.6653062 0.6096297 0.5365654 0.6180760 0.6362226 0.41738272 0.6200744
11 0.5989509 0.5449823 0.4713526 0.5527688 0.5669218 0.36503223 0.5569523
12 0.5135974 0.4646291 0.3977121 0.4721635 0.4861518 0.30591461 0.4787775
13 0.4131318 0.3701748 0.3162529 0.3783059 0.3950068 0.24121153 0.3871450
14 0.3148311 0.2811740 0.2387429 0.2883548 0.3057958 0.17887531 0.2989636
15 0.1767619 0.1546923 0.1333568 0.1590668 0.1784665 0.09728296 0.1727543
56 57 58 59 60 61 62
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9606078 0.9718446 0.9442495 0.9237126 0.9444786 0.9419175 0.9433289
3 0.9267306 0.9442959 0.8915452 0.8654681 0.8971068 0.8898407 0.8884585
4 0.8918890 0.9150195 0.8357906 0.8123982 0.8497401 0.8322108 0.8257151
5 0.8590349 0.8862178 0.7846643 0.7617608 0.8036534 0.7760284 0.7623451
6 0.8311380 0.8607831 0.7427407 0.7219975 0.7655246 0.7289440 0.7085998
7 0.8027865 0.8347403 0.7033983 0.6850046 0.7295250 0.6845905 0.6589330
8 0.7692866 0.8030646 0.6622784 0.6442604 0.6894941 0.6388899 0.6089556
9 0.7278674 0.7626211 0.6179960 0.5969330 0.6416101 0.5899758 0.5577894
10 0.6731980 0.7091364 0.5651391 0.5363608 0.5826105 0.5337676 0.5008791
11 0.6070300 0.6394588 0.5041980 0.4681767 0.5132945 0.4740979 0.4407830
12 0.5234547 0.5497894 0.4299976 0.3911016 0.4316169 0.4060885 0.3741901
13 0.4232714 0.4439225 0.3456757 0.3072436 0.3405982 0.3295466 0.3014460
14 0.3230283 0.3411584 0.2633429 0.2293594 0.2568829 0.2534950 0.2319601
15 0.1812599 0.1918538 0.1491701 0.1268943 0.1416345 0.1424027 0.1312320
63 64 65 66 67 68 69
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000
2 0.9599578 0.9354017 0.9246644 0.9538458 0.9606258 0.9684311 0.85851225
3 0.9208008 0.8747053 0.8643352 0.9116331 0.9264959 0.9373911 0.74699146
4 0.8754254 0.8058667 0.8048649 0.8648841 0.8892270 0.9023584 0.64194848
5 0.8304716 0.7376793 0.7503556 0.8214057 0.8520861 0.8643194 0.55376067
6 0.7917490 0.6811514 0.7067685 0.7850670 0.8200407 0.8302955 0.48966336
7 0.7545582 0.6302544 0.6665504 0.7496835 0.7880976 0.7954853 0.43753634
8 0.7138959 0.5801893 0.6245133 0.7114299 0.7513217 0.7543388 0.39208367
9 0.6699490 0.5300621 0.5768698 0.6690176 0.7058515 0.7083227 0.34939354
10 0.6167952 0.4751596 0.5200933 0.6176943 0.6499007 0.6481331 0.30436152
11 0.5545752 0.4174671 0.4584006 0.5579485 0.5832117 0.5783724 0.26088332
12 0.4781142 0.3530790 0.3873302 0.4821918 0.5003666 0.4979751 0.21454523
13 0.3891606 0.2828377 0.3079467 0.3917804 0.4021654 0.4064036 0.16660696
14 0.3035970 0.2171249 0.2311662 0.3018333 0.3085868 0.3172445 0.12192449
15 0.1790648 0.1237170 0.1265438 0.1725688 0.1710656 0.1866999 0.06645883
70 71 72 73 74 75 76
1 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.9516212 0.9183053 0.9320187 0.85383825 0.9346516 0.9760674 0.9505623
3 0.9108579 0.8512946 0.8707727 0.74067017 0.8806764 0.9544548 0.9076757
4 0.8690302 0.7853872 0.8079645 0.63262551 0.8253559 0.9324593 0.8643059
5 0.8288032 0.7244617 0.7486951 0.53900476 0.7737363 0.9104205 0.8255050
6 0.7950639 0.6761827 0.7014659 0.47156880 0.7315037 0.8907451 0.7935124
7 0.7625125 0.6327169 0.6581945 0.41713825 0.6925534 0.8700176 0.7624525
8 0.7255608 0.5883536 0.6136138 0.37008017 0.6511303 0.8427676 0.7276906
9 0.6795998 0.5396677 0.5684283 0.32769019 0.6030972 0.8051046 0.6861335
10 0.6227810 0.4829466 0.5138561 0.28333586 0.5463380 0.7512903 0.6333340
11 0.5546352 0.4215981 0.4532507 0.24128560 0.4826933 0.6791350 0.5699045
12 0.4708985 0.3522283 0.3829852 0.19718250 0.4077025 0.5857614 0.4894335
13 0.3740942 0.2766111 0.3056302 0.15185125 0.3229887 0.4738046 0.3944928
14 0.2835270 0.2063221 0.2325168 0.11116953 0.2435215 0.3647399 0.2996072
15 0.1557284 0.1130521 0.1347701 0.06157855 0.1343141 0.2067474 0.1676061
77 78 79 80 81 82 83
1 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.9280058 0.9654455 0.9404989 0.87814839 0.9297831 0.9385242 0.9218726
3 0.8691832 0.9329176 0.8875683 0.77653140 0.8733820 0.8810898 0.8628136
4 0.8091207 0.8951131 0.8291246 0.67980630 0.8176883 0.8192228 0.8058164
5 0.7526139 0.8586270 0.7711022 0.60000447 0.7652268 0.7582845 0.7556864
6 0.7070301 0.8268816 0.7226485 0.54185819 0.7235451 0.7072574 0.7161276
7 0.6650434 0.7953389 0.6774755 0.49235084 0.6848455 0.6608775 0.6796359
8 0.6213876 0.7596809 0.6305880 0.44789390 0.6436644 0.6133667 0.6410550
9 0.5732423 0.7185488 0.5800009 0.40711215 0.5970613 0.5626344 0.5954304
10 0.5165114 0.6678445 0.5224925 0.36163190 0.5407765 0.5046030 0.5405495
11 0.4553971 0.6069656 0.4600368 0.31593217 0.4772862 0.4418450 0.4795955
12 0.3854077 0.5283481 0.3883965 0.26452113 0.4023455 0.3723924 0.4064667
13 0.3072373 0.4326857 0.3081552 0.20940718 0.3182614 0.2975566 0.3225708
14 0.2323957 0.3376990 0.2342777 0.15520238 0.2397887 0.2269625 0.2411151
15 0.1292825 0.1963268 0.1308866 0.08706744 0.1329693 0.1275461 0.1308800
84 85 86 87 88 89 90
1 1.0000000 1.00000000 1.00000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.8538173 0.88795096 0.88622856 0.87840041 0.9054350 0.9326592 0.9322172
3 0.7440433 0.78786088 0.79278108 0.77932061 0.8359546 0.8721168 0.8742897
4 0.6441059 0.68445822 0.70066115 0.67847505 0.7698251 0.8045992 0.8174116
5 0.5580583 0.58614337 0.61758850 0.58587338 0.7111338 0.7419623 0.7681597
6 0.4958431 0.51093408 0.55436027 0.51654074 0.6661507 0.6913871 0.7292702
7 0.4447462 0.44882038 0.49976463 0.45819983 0.6259206 0.6449204 0.6933354
8 0.3989220 0.39456777 0.45003869 0.40679996 0.5847389 0.5988233 0.6555738
9 0.3556372 0.34776331 0.40329532 0.36142721 0.5390423 0.5538026 0.6135649
10 0.3080716 0.29891840 0.35215810 0.31353009 0.4847661 0.5022492 0.5618849
11 0.2626049 0.25354119 0.30388023 0.26915736 0.4263743 0.4478068 0.5019879
12 0.2154139 0.20865234 0.25396479 0.22343882 0.3583982 0.3837182 0.4278919
13 0.1670639 0.16391402 0.20189682 0.17592591 0.2822406 0.3104397 0.3431095
14 0.1221753 0.12280593 0.15062526 0.13142071 0.2105256 0.2386197 0.2591759
15 0.0672415 0.06968256 0.08313565 0.07399247 0.1163825 0.1391495 0.1459776
91 92 93 94 95 96 97
1 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.84359857 0.9476469 0.9302526 0.9192076 0.9239796 0.9145604 0.9642303
3 0.72039822 0.9055193 0.8724738 0.8453012 0.8608012 0.8439838 0.9316289
4 0.60064810 0.8648725 0.8108824 0.7667467 0.7957018 0.7736053 0.8975825
5 0.50184810 0.8261899 0.7515559 0.6903640 0.7359980 0.7104416 0.8623834
6 0.43200472 0.7941781 0.7034776 0.6292667 0.6882379 0.6614924 0.8316909
7 0.37689000 0.7630010 0.6586406 0.5751954 0.6451440 0.6163192 0.7998669
8 0.33185812 0.7269981 0.6127340 0.5236050 0.6015389 0.5712146 0.7617464
9 0.29304104 0.6814017 0.5642086 0.4737640 0.5540104 0.5261053 0.7173154
10 0.25414252 0.6226340 0.5081233 0.4191263 0.4996371 0.4725098 0.6569245
11 0.21812446 0.5530237 0.4492760 0.3635604 0.4407690 0.4166062 0.5872498
12 0.17978402 0.4695719 0.3821584 0.3040264 0.3723245 0.3524831 0.5066854
13 0.14014916 0.3743112 0.3064631 0.2412863 0.2958679 0.2806777 0.4143758
14 0.10313548 0.2823620 0.2334612 0.1826311 0.2232996 0.2103839 0.3202999
15 0.05710965 0.1539458 0.1310285 0.1025782 0.1237555 0.1186689 0.1843769
98 99 100 101 102 103 104
1 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9624519 0.9171970 0.88404461 0.9279922 0.9688193 0.8979726 0.9043481
3 0.9274310 0.8513523 0.78935618 0.8649117 0.9409182 0.8097773 0.8311083
4 0.8893703 0.7899474 0.69458633 0.8005834 0.9111978 0.7175980 0.7630023
5 0.8501816 0.7333442 0.60961779 0.7402708 0.8806930 0.6422783 0.6989512
6 0.8157375 0.6893781 0.54721972 0.6912660 0.8534319 0.5858640 0.6495317
7 0.7818465 0.6499848 0.49297431 0.6475126 0.8254117 0.5371337 0.6048739
8 0.7427511 0.6086333 0.44385303 0.6027515 0.7912158 0.4933652 0.5591549
9 0.6948888 0.5619308 0.40192195 0.5532760 0.7460308 0.4522081 0.5107143
10 0.6357771 0.5052548 0.35462464 0.4964616 0.6874655 0.4083188 0.4520054
11 0.5650668 0.4410240 0.30938939 0.4336763 0.6157409 0.3626194 0.3913546
12 0.4810346 0.3669460 0.26043152 0.3623697 0.5284940 0.3071028 0.3262353
13 0.3855884 0.2866850 0.20788092 0.2850884 0.4264208 0.2441210 0.2568715
14 0.2959375 0.2135611 0.15673955 0.2140375 0.3272804 0.1827379 0.1912618
15 0.1647150 0.1179102 0.09143109 0.1181095 0.1796339 0.1024657 0.1059607
105 106 107 108 109 110 111
1 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.89185700 0.9479622 0.9428960 0.9413786 0.9416411 0.9458575 0.8902367
3 0.80453389 0.9021723 0.8949515 0.8943101 0.8890624 0.9060447 0.8002112
4 0.71168863 0.8563727 0.8447869 0.8471490 0.8310907 0.8687223 0.7095864
5 0.63053152 0.8154130 0.7939532 0.8028004 0.7733119 0.8330243 0.6309881
6 0.56874918 0.7817667 0.7512760 0.7667471 0.7248421 0.8038930 0.5720336
7 0.51476233 0.7496303 0.7108406 0.7324235 0.6792873 0.7750980 0.5215064
8 0.46652547 0.7139728 0.6664631 0.6944523 0.6320401 0.7407570 0.4756523
9 0.42106233 0.6717180 0.6166806 0.6485920 0.5814439 0.6961065 0.4312758
10 0.37381119 0.6182468 0.5554427 0.5924525 0.5234981 0.6365862 0.3838849
11 0.32857788 0.5539384 0.4890661 0.5265802 0.4614059 0.5657792 0.3359670
12 0.27780886 0.4734237 0.4153341 0.4457551 0.3912096 0.4798774 0.2816179
13 0.22126443 0.3800906 0.3336465 0.3523666 0.3130127 0.3799194 0.2225612
14 0.16586204 0.2880033 0.2556018 0.2654163 0.2388940 0.2852320 0.1661890
15 0.09112387 0.1613855 0.1454430 0.1454856 0.1335664 0.1559122 0.0914606
112 113 114 115 116 117 118
1 1.00000000 1.00000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.88120889 0.87292466 0.89831560 0.9562865 0.9737943 0.9797255 0.9191478
3 0.77338148 0.76852497 0.81457419 0.9163056 0.9503565 0.9579956 0.8484905
4 0.65017792 0.66651270 0.73056969 0.8750905 0.9238503 0.9316279 0.7718256
5 0.53527402 0.57251516 0.65475357 0.8354452 0.8974474 0.9049220 0.7003798
6 0.44975437 0.50248798 0.59689592 0.8018396 0.8742662 0.8797903 0.6427326
7 0.37975487 0.44449981 0.54745992 0.7690238 0.8499873 0.8529374 0.5888612
8 0.32444615 0.39323921 0.50087000 0.7315177 0.8201936 0.8206265 0.5380062
9 0.28246268 0.34781959 0.45460675 0.6877619 0.7831051 0.7801194 0.4884276
10 0.24301690 0.29911809 0.40384597 0.6310445 0.7339281 0.7290361 0.4343660
11 0.20866346 0.25385965 0.35120431 0.5636645 0.6713489 0.6652873 0.3830040
12 0.17356847 0.20864006 0.29229244 0.4826338 0.5872298 0.5830262 0.3276942
13 0.13729412 0.16313784 0.22912926 0.3901103 0.4816169 0.4821204 0.2665391
14 0.10367296 0.12107314 0.17131362 0.2989813 0.3771018 0.3774500 0.2022552
15 0.05917686 0.06802979 0.09567176 0.1710486 0.2195768 0.2124010 0.1102527
119 120 121 122 123 124 125
1 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9180016 0.90281056 0.9739342 0.9679424 0.9236679 0.9520384 0.9373806
3 0.8495619 0.82392713 0.9495609 0.9383260 0.8600366 0.9119508 0.8849389
4 0.7812692 0.74678510 0.9227200 0.9043297 0.7962434 0.8708616 0.8302505
5 0.7182515 0.67494194 0.8963558 0.8683592 0.7369205 0.8314727 0.7782727
6 0.6683011 0.61955910 0.8730558 0.8361777 0.6893557 0.7984458 0.7354071
7 0.6237557 0.57121303 0.8488153 0.8040168 0.6467526 0.7664149 0.6957545
8 0.5788747 0.52400596 0.8190910 0.7662135 0.6028994 0.7299338 0.6534961
9 0.5302584 0.47623485 0.7812314 0.7199060 0.5542029 0.6842889 0.6050233
10 0.4745120 0.42157839 0.7309712 0.6626702 0.4975826 0.6277062 0.5478193
11 0.4142186 0.36510445 0.6660276 0.5938621 0.4353027 0.5598075 0.4839445
12 0.3458394 0.30367599 0.5798019 0.5101075 0.3640997 0.4759545 0.4091803
13 0.2714273 0.23853640 0.4739473 0.4120536 0.2861590 0.3784587 0.3248459
14 0.2027314 0.17840302 0.3686118 0.3202734 0.2144580 0.2867780 0.2459617
15 0.1114209 0.09982046 0.2109102 0.1821536 0.1185226 0.1571423 0.1367285
126 127 128 129 130 131 132
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9691980 0.9241617 0.9753867 0.9345525 0.9606233 0.88575651 0.9533420
3 0.9404263 0.8580891 0.9513335 0.8757905 0.9247778 0.78632015 0.9104870
4 0.9105483 0.7915350 0.9242780 0.8148074 0.8860338 0.68443933 0.8663323
5 0.8815710 0.7242259 0.8958349 0.7552848 0.8497589 0.59499243 0.8238579
6 0.8564022 0.6697718 0.8702223 0.7060690 0.8187865 0.52696236 0.7881106
7 0.8305565 0.6198256 0.8439489 0.6608033 0.7883226 0.47094007 0.7538354
8 0.7991978 0.5688418 0.8113275 0.6139422 0.7536020 0.42197315 0.7151877
9 0.7594480 0.5167558 0.7709650 0.5629408 0.7122337 0.37685462 0.6709388
10 0.7061219 0.4554493 0.7170999 0.5037074 0.6599117 0.33012899 0.6141517
11 0.6379102 0.3924136 0.6474514 0.4396485 0.5964665 0.28499437 0.5468850
12 0.5504538 0.3267252 0.5588495 0.3687979 0.5155185 0.23710044 0.4665623
13 0.4467173 0.2580441 0.4537103 0.2923091 0.4188979 0.18740850 0.3758483
14 0.3435308 0.1941469 0.3545935 0.2205482 0.3228867 0.14012464 0.2879725
15 0.1936635 0.1084454 0.2080313 0.1217992 0.1845191 0.07797981 0.1658798
133 134 135 136 137 138 139
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9677329 0.9614255 0.9609266 0.9714956 0.9791878 0.9186188 0.9490310
3 0.9412235 0.9284725 0.9229194 0.9436330 0.9586101 0.8523132 0.9042212
4 0.9155615 0.8937360 0.8812945 0.9126664 0.9352213 0.7889297 0.8581650
5 0.8920053 0.8591524 0.8385077 0.8821238 0.9110949 0.7330810 0.8133716
6 0.8720425 0.8292333 0.8008938 0.8552366 0.8889908 0.6893993 0.7758266
7 0.8516204 0.7995103 0.7647656 0.8277470 0.8657479 0.6496885 0.7397603
8 0.8256271 0.7643575 0.7239850 0.7951186 0.8363864 0.6083845 0.6998806
9 0.7892722 0.7192188 0.6750469 0.7552609 0.7985312 0.5640299 0.6524813
10 0.7382530 0.6619823 0.6159316 0.7037886 0.7475066 0.5090365 0.5945370
11 0.6694061 0.5923379 0.5450167 0.6383461 0.6806234 0.4490021 0.5271981
12 0.5759216 0.5063755 0.4615404 0.5533025 0.5933527 0.3795699 0.4475091
13 0.4612569 0.4055601 0.3685354 0.4512122 0.4873268 0.3024645 0.3577254
14 0.3501905 0.3101888 0.2826689 0.3504619 0.3825019 0.2269314 0.2717868
15 0.1951362 0.1717864 0.1577847 0.2004598 0.2220367 0.1287155 0.1494805
140 141 142 143 144 145 146
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9098604 0.9629348 0.9183160 0.9306815 0.9337178 0.9593073 0.9582576
3 0.8335525 0.9293170 0.8549806 0.8733974 0.8793882 0.9261333 0.9209034
4 0.7544673 0.8910430 0.7919541 0.8172294 0.8218614 0.8923640 0.8783997
5 0.6808065 0.8518186 0.7337684 0.7620203 0.7691475 0.8599013 0.8383669
6 0.6233827 0.8175065 0.6879225 0.7169769 0.7263187 0.8322182 0.8045825
7 0.5723742 0.7832936 0.6462894 0.6747619 0.6862881 0.8044909 0.7713415
8 0.5237937 0.7444571 0.6033166 0.6294064 0.6447490 0.7714597 0.7346804
9 0.4759655 0.6983998 0.5561922 0.5786613 0.5976253 0.7276592 0.6935011
10 0.4233113 0.6425047 0.5004725 0.5164675 0.5435684 0.6713925 0.6432480
11 0.3697222 0.5772875 0.4407240 0.4496611 0.4839936 0.6024447 0.5841936
12 0.3102985 0.4977736 0.3719479 0.3769058 0.4118823 0.5156610 0.5077041
13 0.2458597 0.4041966 0.2949887 0.2982991 0.3280516 0.4123938 0.4142508
14 0.1849883 0.3136685 0.2221706 0.2239737 0.2477618 0.3131237 0.3215777
15 0.1028516 0.1769545 0.1239780 0.1236353 0.1355575 0.1704123 0.1863670
147 148 149 150 151 152 153
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9687033 0.9336126 0.9642627 0.9132421 0.9782599 0.9749081 0.9709863
3 0.9387781 0.8748426 0.9331838 0.8391995 0.9585722 0.9512750 0.9454331
4 0.9075945 0.8075305 0.9006032 0.7585270 0.9358931 0.9264226 0.9177256
5 0.8770939 0.7427910 0.8676502 0.6876952 0.9136203 0.9015564 0.8906653
6 0.8505421 0.6898661 0.8391399 0.6325185 0.8936858 0.8793638 0.8672151
7 0.8237765 0.6409554 0.8098256 0.5822650 0.8723857 0.8565838 0.8431201
8 0.7914324 0.5929313 0.7743107 0.5360645 0.8456934 0.8275729 0.8134762
9 0.7505310 0.5441134 0.7315464 0.4908502 0.8108318 0.7888552 0.7756648
10 0.6963127 0.4912610 0.6736126 0.4430054 0.7644558 0.7355702 0.7252895
11 0.6259279 0.4358313 0.6047238 0.3951409 0.7038181 0.6642081 0.6598144
12 0.5359977 0.3709297 0.5213701 0.3389612 0.6193694 0.5716077 0.5717212
13 0.4308035 0.2967446 0.4231946 0.2747060 0.5104797 0.4614606 0.4626954
14 0.3301562 0.2266292 0.3262725 0.2086091 0.4005559 0.3563177 0.3581959
15 0.1865470 0.1268270 0.1881159 0.1140159 0.2308073 0.2038104 0.2062239
154 155 156 157 158 159 160
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000
2 0.9134209 0.9649048 0.9036112 0.9128755 0.9234272 0.86937266 0.85490915
3 0.8296880 0.9338151 0.8267229 0.8411185 0.8591830 0.76707741 0.73345221
4 0.7372210 0.9030675 0.7525859 0.7681464 0.7936745 0.66460372 0.61736058
5 0.6545034 0.8739317 0.6832512 0.7020500 0.7311724 0.57564473 0.52087177
6 0.5900647 0.8491526 0.6297507 0.6503828 0.6810801 0.51024085 0.45321622
7 0.5346018 0.8245157 0.5825126 0.6042206 0.6350883 0.45547838 0.39886224
8 0.4848716 0.7942775 0.5356887 0.5590165 0.5883809 0.40760404 0.35328613
9 0.4410939 0.7546757 0.4876442 0.5114294 0.5387661 0.36373165 0.31555321
10 0.3944768 0.7007974 0.4316865 0.4583547 0.4814551 0.31819348 0.27567449
11 0.3472802 0.6296550 0.3738854 0.4020202 0.4209594 0.27490580 0.23699534
12 0.2939842 0.5373504 0.3112676 0.3370196 0.3534426 0.22793093 0.19486568
13 0.2363203 0.4288235 0.2447477 0.2650268 0.2795311 0.17771852 0.15134946
14 0.1802921 0.3263254 0.1828604 0.1978855 0.2099531 0.13115868 0.11140850
15 0.1046994 0.1842161 0.1020422 0.1082217 0.1157358 0.07212292 0.06362196
161 162 163 164 165 166 167
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9618856 0.9368432 0.9482787 0.9719849 0.9147226 0.9338574 0.9596025
3 0.9271487 0.8835012 0.9041446 0.9429435 0.8426716 0.8795291 0.9221672
4 0.8917304 0.8253923 0.8592845 0.9075599 0.7641431 0.8250196 0.8800498
5 0.8577324 0.7714729 0.8194787 0.8707609 0.6966278 0.7747334 0.8401697
6 0.8289866 0.7272458 0.7869368 0.8370014 0.6445957 0.7336808 0.8061931
7 0.8004588 0.6856874 0.7555501 0.8026804 0.5974994 0.6957161 0.7728026
8 0.7668962 0.6430189 0.7207456 0.7639431 0.5532040 0.6551071 0.7358114
9 0.7263095 0.5958477 0.6795448 0.7175310 0.5111615 0.6071707 0.6938400
10 0.6723357 0.5422208 0.6276512 0.6631052 0.4645632 0.5500089 0.6423620
11 0.6048947 0.4841249 0.5655044 0.5984897 0.4166599 0.4855491 0.5814479
12 0.5201586 0.4144624 0.4858993 0.5190180 0.3584684 0.4096265 0.5038117
13 0.4216279 0.3335128 0.3913188 0.4253145 0.2904592 0.3240937 0.4106283
14 0.3245246 0.2540961 0.2973156 0.3322705 0.2216324 0.2432975 0.3180461
15 0.1860343 0.1402708 0.1669511 0.1846943 0.1272343 0.1328605 0.1831214
[1] 0.38647397 0.61893297 0.09340966 0.36597827 0.37096142 0.61513598
[7] 0.65898311 0.77799582 0.29312298 0.21749805 0.08223235 0.88570630
[13] 0.48587924 0.94458322 0.54710077 0.31651914 0.26991649 0.70739799
[19] 0.30104731 0.98105297 0.38338627 0.95219636 0.77168919 0.92761308
[25] 0.07817261 0.17078757 0.71514211 0.18256500 0.22701834 0.75778245
[31] 0.49049517 0.16130230 0.73952896 0.53604917 0.21127900 0.22195055
[37] 0.20279692 0.96241408 0.73732418 0.13897683 0.99897676 0.18067047
[43] 0.53689230 0.27492332 0.76912734 0.94843439 0.69113971 0.82785981
[49] 0.17676192 0.40217345 0.67122174 0.15906679 0.61562950 0.98925118
[55] 0.75093266 0.46046733 0.19185378 0.48019111 0.76524983 0.14163446
[61] 0.88984066 0.71656300 0.85326146 0.12371699 0.57534152 0.23266401
[67] 0.90011302 0.18669989 0.61455949 0.20392519 0.86145731 0.61420454
[73] 0.94407074 0.30656676 0.36280645 0.40249362 0.80912075 0.36308048
[79] 0.33343180 0.31287039 0.99025548 0.74903878 0.59706864 0.98085578
[85] 0.47691394 0.16731350 0.34766328 0.40470014 0.69272234 0.26470710
[91] 0.86237864 0.28157295 0.68954872 0.84977914 0.92218185 0.21435117
[97] 0.67899691 0.55641068 0.59297812 0.17988824 0.28570215 0.62587490
[103] 0.58298397 0.30378384 0.51572516 0.94387647 0.33348085 0.51836229
[109] 0.81357128 0.97750325 0.50650667 0.65017792 0.32339809 0.64999885
[115] 0.50937197 0.59692079 0.80714323 0.45753371 0.80780957 0.27265201
[121] 0.80878517 0.61698658 0.72812326 0.67937471 0.53924820 0.63655017
[127] 0.67551809 0.57361498 0.48877289 0.66805320 0.58568858 0.88100485
[133] 0.81464892 0.65653505 0.67345932 0.72626097 0.69520283 0.55927101
[139] 0.69000330 0.81725149 0.69002557 0.58385755 0.66918681 0.62603444
[145] 0.80054513 0.73748725 0.76841548 0.84365094 0.94530057 0.91339051
[151] 0.85066878 0.87728110 0.82539201 0.49584647 0.79029370 0.58562072
[157] 0.68221324 0.63597053 0.55633546 0.42571054 0.86172759 0.73197897
[163] 0.78263510 0.84943213 0.83078860 0.78295118 0.84113929
[1] 379.0378 280.6246 226.2492 235.5628 277.0562 285.8569 217.2474 299.8356
[9] 372.9397 349.8538 210.0545 221.6652 296.8041 397.3007 392.4777 374.3227
[17] 377.3362 183.6460 261.9891 176.8361 387.1529 190.1178 213.0463 281.8244
[25] 210.7787 377.7276 174.3353 399.9858 246.9861 283.0843 425.9348 240.4906
[33] 193.4830 324.2735 281.1966 382.7143 416.2192 390.7110 377.2879 304.2796
[41] 397.8178 373.6292 367.0517 280.5714 366.3432 374.4768 237.7916 180.7023
[49] 395.0239 372.0508 312.6322 375.4883 381.8232 263.8942 378.2047 400.3782
[57] 414.6206 350.5628 311.9920 355.9665 312.3917 298.6538 377.6585 291.7421
[65] 305.2394 379.5686 388.5747 387.4060 195.4000 375.3734 293.8843 303.0174
[73] 188.9838 322.4323 437.0095 383.3580 303.8334 404.0190 306.1332 218.9342
[81] 317.1117 299.7354 318.1301 197.8748 203.5568 222.3044 206.0369 294.1678
[89] 299.1253 348.7719 177.9787 374.7383 300.9201 270.9114 298.2913 290.9088
[97] 391.7794 379.8090 299.9637 219.5192 297.4080 402.7051 240.8200 286.5064
[105] 228.5426 376.0082 330.8700 363.1945 306.5008 379.5380 231.9492 185.4531
[113] 200.6152 246.1408 380.2401 442.4055 442.0901 279.2369 291.6791 272.6413
[121] 436.2295 393.3421 297.7153 377.6047 323.8690 415.7683 287.8624 420.7562
[129] 299.4461 396.3812 210.4682 372.8276 428.9093 391.4006 371.1353 418.3261
[137] 446.9658 301.2678 363.6666 271.9478 387.3044 298.5389 303.2548 322.3823
[145] 395.8972 392.4381 406.4294 295.8344 399.3238 279.7821 466.4901 427.5692
[153] 428.5804 236.9591 406.6075 279.0294 286.9868 293.5572 203.8493 183.1313
[161] 398.5813 321.4516 381.6640 398.5359 287.3527 326.6542 390.3544
[1] 411.9039 322.5717 292.3470 299.6628 321.8950 331.6313 276.9224 357.3142
[9] 414.8310 382.0283 275.9663 287.3319 349.7098 435.8851 431.4929 404.9285
[17] 408.7589 239.8735 314.8360 228.9827 419.9343 250.2246 285.4959 327.2790
[25] 273.2103 410.8169 225.6147 436.7200 304.0648 329.4493 465.0873 304.2106
[33] 262.9020 370.3435 322.1891 413.7773 455.7412 425.4360 411.4326 361.3284
[41] 434.1867 407.7618 396.1332 325.7547 410.8033 405.8699 297.9780 235.7766
[49] 430.2779 403.1013 367.6368 408.0153 422.9147 310.0330 415.2481 436.2503
[57] 453.3902 385.1266 362.7041 387.1757 374.8646 360.0761 417.1846 346.9942
[65] 359.4199 414.2383 425.3661 432.3757 256.6778 407.4274 340.7525 360.2433
[73] 247.6918 372.0528 473.6463 415.4589 360.1221 442.9084 365.2307 284.7558
[81] 368.3701 357.7545 366.7316 257.4785 263.0184 284.4685 267.4476 340.0194
[89] 360.2119 379.9020 234.8697 406.0532 359.4493 318.2380 351.6588 339.0685
[97] 433.7573 417.9081 347.8932 286.3721 348.4694 442.4480 309.0448 326.1575
[105] 295.4964 407.0232 381.6521 391.6988 367.3981 410.3493 296.9442 241.2955
[113] 259.3827 305.6392 416.9496 475.8780 474.5474 328.6785 337.3660 313.7849
[121] 470.6260 435.2632 348.1092 409.7966 374.1079 453.2284 332.6004 463.4489
[129] 354.3785 433.4195 274.5819 408.3899 462.2235 428.7759 408.0118 456.5482
[137] 481.9968 354.0230 396.1884 317.7713 426.7357 350.7635 358.1860 372.5466
[145] 430.9700 429.2535 445.6631 353.5024 439.7886 330.3324 492.8796 466.7456
[153] 464.8529 309.0192 444.2322 318.0299 330.6880 343.2039 265.9527 244.4904
[161] 437.0741 375.3283 412.8819 439.8129 340.5758 372.4215 427.6653
[1] 343.7313 258.9560 230.5421 237.1312 258.1146 267.3075 215.6944 291.6865
[9] 345.6919 315.3491 214.4806 225.1156 284.7318 365.6261 361.6393 336.7315
[17] 340.8060 180.6360 251.3724 170.7989 350.8761 190.8673 223.1537 263.2781
[25] 212.0379 341.7910 167.2598 366.5243 241.7455 265.2122 392.8129 241.6116
[33] 202.5895 304.6725 258.7244 345.5204 383.7687 356.1444 343.2351 295.6959
[41] 364.3770 339.0891 328.5324 261.7729 341.7731 337.5244 235.9765 176.8998
[49] 360.5525 335.2430 301.7693 339.7872 352.9689 247.5107 345.7846 366.1857
[57] 382.2282 317.6592 297.4465 320.3087 307.9716 293.8496 347.2131 281.4889
[65] 294.1318 344.9178 356.0365 361.6541 196.9407 339.4766 276.4924 294.0846
[73] 188.4124 305.9485 401.2971 346.6133 294.5408 371.5680 299.1672 223.1293
[81] 302.5066 291.9142 301.2707 197.8964 202.1535 222.9171 206.6971 275.9836
[89] 293.7541 313.0319 176.0957 338.3094 293.6897 254.5154 286.5336 274.5130
[97] 363.3307 348.9542 283.3605 224.3604 283.5696 372.2936 245.9119 262.7809
[105] 233.3521 338.6709 314.5738 324.6977 301.1154 342.6344 234.7872 181.2372
[113] 199.1149 242.9993 347.6783 402.6000 401.6396 264.5127 273.2016 250.7908
[121] 397.9942 364.9293 283.3369 341.6874 307.7719 381.9964 268.4335 390.9674
[129] 289.0483 363.0811 213.2949 339.5101 390.9910 359.3847 339.5593 384.7450
[137] 408.3852 288.6997 328.6537 254.3506 356.8959 285.8336 292.9097 306.4130
[145] 361.7607 358.8454 374.9616 287.8847 369.1262 266.0957 418.6088 394.6278
[153] 392.6704 245.2194 373.8116 254.8809 266.8809 278.6316 205.6155 184.8943
[161] 366.5951 308.7598 344.1663 369.1718 275.4286 306.4528 357.4430
MTLR documentation built on June 4, 2019, 1:02 a.m.
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Description Usage Arguments Value Note See Also Examples
Description
Compute survival curves and other fitted values for a model generated by mtlr.
Usage
1 2 3 4 |
Arguments
object |
an object of class mtlr, generated by the mtlr. |
newdata |
an optional new dataframe for which to perform predictions using MTLR. If left empty, predictions will be performed using the dataset used to generate the original mtlr object – note that any error calculation on these predictions will be optimistic since this will only be the resubstitution error and not be representative of error on a new test set. |
type |
the type of prediction desired. Options are the survival curve for the time points selected by mtlr ("survivalcurve"), the survival curve for given times ("prob_times"), the probability of survival at the observations event time ("prob_event"), the mean survival time ("mean_time"), and the median survival time ("median_time"). For "survivalcurve" and "prob_times", the first column of the matrix returned will correspond to the time points and all other columns will be the observations survival probability at those associated time points. The index of a (row) observation in newdata will correspond to the ith + 1 column of the returned matrix. If "prob_event" is chosen the response (event time) is required. For both "prob_event" and "prob_times", if the event time is larger than all of the time points used to build the mtlr model then the last (lowest) probability is used. For example, if the event time is 100 but the largest time point estimated by the mtlr model was 80 then the survival probability at 100 is equal to the survival probability at 80, i.e. S(100) = S(80). For "mean_time", if survival curves do not extend to zero survival probability a linear extension is added (a linear line from (time = 0,probability = 1) to (time = ?, probability =0)). This is the same for "median_time" except the line need only extend to survival probability = 0.5. A mean/median survival time of Inf is returned for survival curves with all survival probabilities of 1. |
add_zero |
if TRUE, a time point of "0" and a survival probability of "1" will be added to all survival curves. Additionally, if add_zero is TRUE, type = "mean_time" will represent the average survival time overall but if FALSE, then "mean_time" will be reduced by roughly the value of the first time point. However, "median_time" and "prob_event" will be unchanged. |
times |
For prediction method "prob_times" you may specify the times at which to predict the survival probability for each row in newdata. This values defaults to all unique event times (both censored and uncensored) in the data on which the model was trained. |
... |
for future methods. |
Value
The desired prediction type (a matrix or vector of predictions).
Note
The predictions generated by type = "survivalcurve" can be plotted using plotcurves – packages
ggplot2 and reshape2 must be installed to use this function.
See Also
Examples
1 2 3 4 5 6 7 8 9 10 11 12 | library(survival)
mod <- mtlr(Surv(time,status)~., data = lung)
#Here our predictions are on the data from which we trained so our results will be optimistic
# since they are produced from resubstitution as opposed to some new test set.
predict(mod, type = "survivalcurve")
predict(mod, type = "prob_event")
predict(mod, type = "median_time")
predict(mod, type = "mean_time")
#Notice the difference of about 59:
predict(mod, type = "mean_time", add_zero = FALSE)
|
Example output
time 1 2 3 4 5 6
1 0.00000 1.0000000 1.0000000 1.00000000 1.00000000 1.0000000 1.0000000
2 59.06667 0.9514767 0.9175115 0.87531735 0.89194803 0.9003080 0.9195465
3 95.00000 0.9115157 0.8445371 0.78048977 0.80073319 0.8178235 0.8493387
4 156.00000 0.8719596 0.7696637 0.68883239 0.71196119 0.7360071 0.7775833
5 177.53333 0.8340554 0.6983099 0.61170840 0.63531677 0.6672597 0.7088954
6 199.66667 0.8023258 0.6415465 0.55531926 0.57807124 0.6153757 0.6539649
7 222.40000 0.7711526 0.5908922 0.50820469 0.52902547 0.5703986 0.6052502
8 245.46667 0.7351686 0.5415476 0.46529971 0.48330076 0.5276470 0.5570390
9 283.53333 0.6896617 0.4915861 0.42353784 0.44042385 0.4857041 0.5079207
10 298.40000 0.6315382 0.4358641 0.37770222 0.39168558 0.4376535 0.4516624
11 347.00000 0.5626246 0.3779118 0.33144250 0.34153754 0.3869805 0.3931680
12 388.40000 0.4794154 0.3147646 0.27878528 0.28526819 0.3273796 0.3299412
13 457.80000 0.3836573 0.2476588 0.22154687 0.22496907 0.2610903 0.2629369
14 557.06667 0.2905490 0.1854639 0.16619132 0.16773357 0.1962896 0.1992891
15 703.93333 0.1584096 0.1022103 0.09340966 0.09566881 0.1121737 0.1124033
7 8 9 10 11 12 13
1 1.00000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000 1.0000000
2 0.88513142 0.9336398 0.9640014 0.9375283 0.88559325 0.89137497 0.9233755
3 0.79149735 0.8760126 0.9296592 0.8866918 0.78983722 0.79466813 0.8603528
4 0.69874571 0.8160941 0.8898787 0.8328603 0.68860125 0.69891468 0.7962808
5 0.61070100 0.7567816 0.8466907 0.7834548 0.59670513 0.61443615 0.7361855
6 0.54370126 0.7079537 0.8077673 0.7429971 0.52713182 0.55114023 0.6881363
7 0.48696096 0.6624861 0.7664610 0.7051060 0.46824019 0.49825701 0.6440268
8 0.43480165 0.6151768 0.7202590 0.6650199 0.41700866 0.45025646 0.5990406
9 0.38725099 0.5646903 0.6689047 0.6183425 0.37231258 0.40753658 0.5506434
10 0.33475753 0.5050682 0.6063405 0.5640932 0.32571926 0.35980050 0.4942925
11 0.28539285 0.4421913 0.5412680 0.5032478 0.28298396 0.31164714 0.4346063
12 0.23594318 0.3734688 0.4699753 0.4288088 0.23833848 0.25954293 0.3670737
13 0.18558088 0.2988087 0.3883119 0.3416992 0.19118491 0.20546542 0.2922945
14 0.13881796 0.2270895 0.3015665 0.2586038 0.14479877 0.15435564 0.2204527
15 0.07881679 0.1271425 0.1662694 0.1420683 0.08223235 0.08965795 0.1220377
14 15 16 17 18 19 20
1 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.00000000
2 0.9665264 0.9622983 0.9471423 0.9519553 0.85741730 0.9126331 0.83478730
3 0.9333736 0.9297899 0.9018420 0.9110610 0.74250334 0.8350605 0.70882349
4 0.8975493 0.8948080 0.8560129 0.8697331 0.62584326 0.7524879 0.59477156
5 0.8626990 0.8594039 0.8142922 0.8308416 0.52440387 0.6757830 0.49708882
6 0.8325288 0.8286333 0.7801890 0.7981744 0.45003379 0.6154946 0.42851504
7 0.8025129 0.7978891 0.7472538 0.7671110 0.38955249 0.5634784 0.37408098
8 0.7677306 0.7617508 0.7106492 0.7316909 0.33960198 0.5146890 0.32810460
9 0.7258413 0.7166224 0.6679593 0.6862721 0.29741844 0.4670006 0.28806003
10 0.6727250 0.6594345 0.6140609 0.6300818 0.25506966 0.4158574 0.24579618
11 0.6050204 0.5913112 0.5500037 0.5608928 0.21797880 0.3627786 0.20697681
12 0.5182437 0.5083161 0.4696977 0.4747936 0.18057421 0.3034116 0.16797638
13 0.4167588 0.4110057 0.3756283 0.3756759 0.14208821 0.2396311 0.12923097
14 0.3199940 0.3170080 0.2843332 0.2837154 0.10521044 0.1809458 0.09393525
15 0.1810506 0.1778424 0.1597614 0.1548784 0.05843256 0.1016463 0.05185607
21 22 23 24 25 26 27
1 1.0000000 1.00000000 1.00000000 1.0000000 1.00000000 1.0000000 1.00000000
2 0.9534719 0.85001172 0.89039994 0.9147125 0.88465532 0.9482240 0.83877377
3 0.9131454 0.73601171 0.79103545 0.8430424 0.79027864 0.9031782 0.70996618
4 0.8717106 0.63094893 0.68510540 0.7673146 0.69165994 0.8558630 0.58812080
5 0.8342095 0.54069119 0.59724328 0.6973560 0.59912510 0.8130323 0.48552767
6 0.8030608 0.47582236 0.53207727 0.6413629 0.52917668 0.7779200 0.41343923
7 0.7726450 0.42324131 0.47807814 0.5918524 0.46966584 0.7442492 0.35554995
8 0.7382253 0.37718031 0.43196877 0.5439017 0.41691398 0.7075757 0.30889972
9 0.6966283 0.33517121 0.39226112 0.4949966 0.37082756 0.6661160 0.27040547
10 0.6438998 0.28968204 0.35110212 0.4408489 0.32216642 0.6145815 0.23131102
11 0.5797706 0.24698435 0.30991203 0.3861915 0.27738414 0.5543482 0.19688435
12 0.4973756 0.20308760 0.26210867 0.3260083 0.23125320 0.4783369 0.16230236
13 0.3991815 0.15842562 0.20994715 0.2602087 0.18290880 0.3884269 0.12758211
14 0.3030659 0.11652071 0.15895387 0.1967993 0.13754009 0.2982154 0.09375039
15 0.1696602 0.06481502 0.09182192 0.1100681 0.07817261 0.1707876 0.05152525
28 29 30 31 32 33 34
1 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9611486 0.89453930 0.9074538 0.9721532 0.8930803 0.85631476 0.9283184
3 0.9267240 0.80901502 0.8291369 0.9474311 0.8061110 0.73952896 0.8730404
4 0.8916648 0.72639018 0.7501409 0.9217898 0.7199792 0.62933744 0.8221655
5 0.8588184 0.65262028 0.6828260 0.8956575 0.6443737 0.54524162 0.7737121
6 0.8307548 0.59669036 0.6313599 0.8727384 0.5872677 0.48621310 0.7353290
7 0.8026305 0.54802155 0.5854119 0.8488119 0.5381032 0.43892550 0.6991253
8 0.7694232 0.50186934 0.5415919 0.8183895 0.4924984 0.39856268 0.6590072
9 0.7280534 0.45537401 0.4987682 0.7794106 0.4477388 0.36176874 0.6117959
10 0.6731986 0.40345871 0.4497116 0.7245772 0.3984688 0.32274817 0.5513778
11 0.6062356 0.35015395 0.3987286 0.6545457 0.3486285 0.28257862 0.4830940
12 0.5225739 0.29124807 0.3391262 0.5661636 0.2930210 0.23505246 0.4051559
13 0.4239768 0.22837922 0.2723403 0.4608621 0.2330981 0.18367519 0.3194798
14 0.3243205 0.16935180 0.2051291 0.3574473 0.1749451 0.13497131 0.2387621
15 0.1825650 0.09262791 0.1160352 0.2069839 0.0972291 0.07559891 0.1311921
35 36 37 38 39 40 41
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9098916 0.9496853 0.9721945 0.9558635 0.9558898 0.9355087 0.9600031
3 0.8341022 0.9089883 0.9450879 0.9197054 0.9174600 0.8791453 0.9255807
4 0.7589220 0.8677354 0.9132757 0.8814444 0.8784309 0.8205530 0.8919497
5 0.6897924 0.8296619 0.8813085 0.8449523 0.8399707 0.7637767 0.8601716
6 0.6357746 0.7981535 0.8525777 0.8141727 0.8071266 0.7169064 0.8336498
7 0.5880261 0.7672921 0.8231388 0.7839152 0.7750451 0.6731569 0.8073884
8 0.5414105 0.7324712 0.7884642 0.7492385 0.7378708 0.6274862 0.7756897
9 0.4932689 0.6885487 0.7469813 0.7056674 0.6909161 0.5771591 0.7353954
10 0.4387645 0.6341445 0.6945758 0.6516149 0.6316632 0.5183422 0.6808166
11 0.3818022 0.5694530 0.6305376 0.5868854 0.5603152 0.4547695 0.6104040
12 0.3188521 0.4878453 0.5487158 0.5047524 0.4748755 0.3833324 0.5200329
13 0.2514532 0.3909636 0.4493361 0.4062787 0.3778632 0.3047432 0.4141556
14 0.1879819 0.2961044 0.3509356 0.3111329 0.2864052 0.2300483 0.3142938
15 0.1035587 0.1603792 0.2027969 0.1724257 0.1566935 0.1265596 0.1776335
42 43 44 45 46 47 48
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000
2 0.9528010 0.9452787 0.9039496 0.9647357 0.9496965 0.89074036 0.85014493
3 0.9089517 0.8964489 0.8254768 0.9317248 0.9049053 0.80106448 0.72851812
4 0.8631528 0.8477264 0.7458307 0.8942513 0.8585099 0.71448595 0.61230332
5 0.8201780 0.8039894 0.6772228 0.8508888 0.8161056 0.63889484 0.51279356
6 0.7841478 0.7682319 0.6252309 0.8115023 0.7810924 0.58195819 0.44153057
7 0.7491987 0.7343389 0.5792372 0.7704342 0.7473555 0.53311883 0.38463961
8 0.7106349 0.6972004 0.5352256 0.7225840 0.7101974 0.48763076 0.33731813
9 0.6667757 0.6537900 0.4925587 0.6692808 0.6671938 0.44191570 0.29639106
10 0.6118520 0.5996514 0.4437778 0.6015704 0.6137920 0.39181445 0.25463405
11 0.5473915 0.5346528 0.3928868 0.5302062 0.5501469 0.34007320 0.21603789
12 0.4689725 0.4538974 0.3328704 0.4552422 0.4701781 0.28229372 0.17647445
13 0.3789608 0.3612977 0.2651574 0.3722013 0.3766349 0.22071393 0.13665155
14 0.2895731 0.2720458 0.1995748 0.2896311 0.2858525 0.16312944 0.09999478
15 0.1638829 0.1514395 0.1142168 0.1649643 0.1606176 0.08865599 0.05498911
49 50 51 52 53 54 55
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9588277 0.9488227 0.9295537 0.9510054 0.9616334 0.89255509 0.9583380
3 0.9218225 0.9062805 0.8739392 0.9093821 0.9254030 0.80864888 0.9187978
4 0.8844407 0.8614755 0.8194394 0.8658342 0.8868679 0.72691147 0.8743002
5 0.8496788 0.8186229 0.7675157 0.8243291 0.8475156 0.65736213 0.8308789
6 0.8207029 0.7830756 0.7254952 0.7895929 0.8133573 0.60411506 0.7938244
7 0.7919593 0.7486443 0.6865881 0.7560922 0.7795534 0.55824171 0.7576977
8 0.7586839 0.7105274 0.6444814 0.7187650 0.7401991 0.51457918 0.7178796
9 0.7181423 0.6647899 0.5961721 0.6733738 0.6952590 0.46850805 0.6738245
10 0.6653062 0.6096297 0.5365654 0.6180760 0.6362226 0.41738272 0.6200744
11 0.5989509 0.5449823 0.4713526 0.5527688 0.5669218 0.36503223 0.5569523
12 0.5135974 0.4646291 0.3977121 0.4721635 0.4861518 0.30591461 0.4787775
13 0.4131318 0.3701748 0.3162529 0.3783059 0.3950068 0.24121153 0.3871450
14 0.3148311 0.2811740 0.2387429 0.2883548 0.3057958 0.17887531 0.2989636
15 0.1767619 0.1546923 0.1333568 0.1590668 0.1784665 0.09728296 0.1727543
56 57 58 59 60 61 62
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9606078 0.9718446 0.9442495 0.9237126 0.9444786 0.9419175 0.9433289
3 0.9267306 0.9442959 0.8915452 0.8654681 0.8971068 0.8898407 0.8884585
4 0.8918890 0.9150195 0.8357906 0.8123982 0.8497401 0.8322108 0.8257151
5 0.8590349 0.8862178 0.7846643 0.7617608 0.8036534 0.7760284 0.7623451
6 0.8311380 0.8607831 0.7427407 0.7219975 0.7655246 0.7289440 0.7085998
7 0.8027865 0.8347403 0.7033983 0.6850046 0.7295250 0.6845905 0.6589330
8 0.7692866 0.8030646 0.6622784 0.6442604 0.6894941 0.6388899 0.6089556
9 0.7278674 0.7626211 0.6179960 0.5969330 0.6416101 0.5899758 0.5577894
10 0.6731980 0.7091364 0.5651391 0.5363608 0.5826105 0.5337676 0.5008791
11 0.6070300 0.6394588 0.5041980 0.4681767 0.5132945 0.4740979 0.4407830
12 0.5234547 0.5497894 0.4299976 0.3911016 0.4316169 0.4060885 0.3741901
13 0.4232714 0.4439225 0.3456757 0.3072436 0.3405982 0.3295466 0.3014460
14 0.3230283 0.3411584 0.2633429 0.2293594 0.2568829 0.2534950 0.2319601
15 0.1812599 0.1918538 0.1491701 0.1268943 0.1416345 0.1424027 0.1312320
63 64 65 66 67 68 69
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000
2 0.9599578 0.9354017 0.9246644 0.9538458 0.9606258 0.9684311 0.85851225
3 0.9208008 0.8747053 0.8643352 0.9116331 0.9264959 0.9373911 0.74699146
4 0.8754254 0.8058667 0.8048649 0.8648841 0.8892270 0.9023584 0.64194848
5 0.8304716 0.7376793 0.7503556 0.8214057 0.8520861 0.8643194 0.55376067
6 0.7917490 0.6811514 0.7067685 0.7850670 0.8200407 0.8302955 0.48966336
7 0.7545582 0.6302544 0.6665504 0.7496835 0.7880976 0.7954853 0.43753634
8 0.7138959 0.5801893 0.6245133 0.7114299 0.7513217 0.7543388 0.39208367
9 0.6699490 0.5300621 0.5768698 0.6690176 0.7058515 0.7083227 0.34939354
10 0.6167952 0.4751596 0.5200933 0.6176943 0.6499007 0.6481331 0.30436152
11 0.5545752 0.4174671 0.4584006 0.5579485 0.5832117 0.5783724 0.26088332
12 0.4781142 0.3530790 0.3873302 0.4821918 0.5003666 0.4979751 0.21454523
13 0.3891606 0.2828377 0.3079467 0.3917804 0.4021654 0.4064036 0.16660696
14 0.3035970 0.2171249 0.2311662 0.3018333 0.3085868 0.3172445 0.12192449
15 0.1790648 0.1237170 0.1265438 0.1725688 0.1710656 0.1866999 0.06645883
70 71 72 73 74 75 76
1 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.9516212 0.9183053 0.9320187 0.85383825 0.9346516 0.9760674 0.9505623
3 0.9108579 0.8512946 0.8707727 0.74067017 0.8806764 0.9544548 0.9076757
4 0.8690302 0.7853872 0.8079645 0.63262551 0.8253559 0.9324593 0.8643059
5 0.8288032 0.7244617 0.7486951 0.53900476 0.7737363 0.9104205 0.8255050
6 0.7950639 0.6761827 0.7014659 0.47156880 0.7315037 0.8907451 0.7935124
7 0.7625125 0.6327169 0.6581945 0.41713825 0.6925534 0.8700176 0.7624525
8 0.7255608 0.5883536 0.6136138 0.37008017 0.6511303 0.8427676 0.7276906
9 0.6795998 0.5396677 0.5684283 0.32769019 0.6030972 0.8051046 0.6861335
10 0.6227810 0.4829466 0.5138561 0.28333586 0.5463380 0.7512903 0.6333340
11 0.5546352 0.4215981 0.4532507 0.24128560 0.4826933 0.6791350 0.5699045
12 0.4708985 0.3522283 0.3829852 0.19718250 0.4077025 0.5857614 0.4894335
13 0.3740942 0.2766111 0.3056302 0.15185125 0.3229887 0.4738046 0.3944928
14 0.2835270 0.2063221 0.2325168 0.11116953 0.2435215 0.3647399 0.2996072
15 0.1557284 0.1130521 0.1347701 0.06157855 0.1343141 0.2067474 0.1676061
77 78 79 80 81 82 83
1 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.9280058 0.9654455 0.9404989 0.87814839 0.9297831 0.9385242 0.9218726
3 0.8691832 0.9329176 0.8875683 0.77653140 0.8733820 0.8810898 0.8628136
4 0.8091207 0.8951131 0.8291246 0.67980630 0.8176883 0.8192228 0.8058164
5 0.7526139 0.8586270 0.7711022 0.60000447 0.7652268 0.7582845 0.7556864
6 0.7070301 0.8268816 0.7226485 0.54185819 0.7235451 0.7072574 0.7161276
7 0.6650434 0.7953389 0.6774755 0.49235084 0.6848455 0.6608775 0.6796359
8 0.6213876 0.7596809 0.6305880 0.44789390 0.6436644 0.6133667 0.6410550
9 0.5732423 0.7185488 0.5800009 0.40711215 0.5970613 0.5626344 0.5954304
10 0.5165114 0.6678445 0.5224925 0.36163190 0.5407765 0.5046030 0.5405495
11 0.4553971 0.6069656 0.4600368 0.31593217 0.4772862 0.4418450 0.4795955
12 0.3854077 0.5283481 0.3883965 0.26452113 0.4023455 0.3723924 0.4064667
13 0.3072373 0.4326857 0.3081552 0.20940718 0.3182614 0.2975566 0.3225708
14 0.2323957 0.3376990 0.2342777 0.15520238 0.2397887 0.2269625 0.2411151
15 0.1292825 0.1963268 0.1308866 0.08706744 0.1329693 0.1275461 0.1308800
84 85 86 87 88 89 90
1 1.0000000 1.00000000 1.00000000 1.00000000 1.0000000 1.0000000 1.0000000
2 0.8538173 0.88795096 0.88622856 0.87840041 0.9054350 0.9326592 0.9322172
3 0.7440433 0.78786088 0.79278108 0.77932061 0.8359546 0.8721168 0.8742897
4 0.6441059 0.68445822 0.70066115 0.67847505 0.7698251 0.8045992 0.8174116
5 0.5580583 0.58614337 0.61758850 0.58587338 0.7111338 0.7419623 0.7681597
6 0.4958431 0.51093408 0.55436027 0.51654074 0.6661507 0.6913871 0.7292702
7 0.4447462 0.44882038 0.49976463 0.45819983 0.6259206 0.6449204 0.6933354
8 0.3989220 0.39456777 0.45003869 0.40679996 0.5847389 0.5988233 0.6555738
9 0.3556372 0.34776331 0.40329532 0.36142721 0.5390423 0.5538026 0.6135649
10 0.3080716 0.29891840 0.35215810 0.31353009 0.4847661 0.5022492 0.5618849
11 0.2626049 0.25354119 0.30388023 0.26915736 0.4263743 0.4478068 0.5019879
12 0.2154139 0.20865234 0.25396479 0.22343882 0.3583982 0.3837182 0.4278919
13 0.1670639 0.16391402 0.20189682 0.17592591 0.2822406 0.3104397 0.3431095
14 0.1221753 0.12280593 0.15062526 0.13142071 0.2105256 0.2386197 0.2591759
15 0.0672415 0.06968256 0.08313565 0.07399247 0.1163825 0.1391495 0.1459776
91 92 93 94 95 96 97
1 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.84359857 0.9476469 0.9302526 0.9192076 0.9239796 0.9145604 0.9642303
3 0.72039822 0.9055193 0.8724738 0.8453012 0.8608012 0.8439838 0.9316289
4 0.60064810 0.8648725 0.8108824 0.7667467 0.7957018 0.7736053 0.8975825
5 0.50184810 0.8261899 0.7515559 0.6903640 0.7359980 0.7104416 0.8623834
6 0.43200472 0.7941781 0.7034776 0.6292667 0.6882379 0.6614924 0.8316909
7 0.37689000 0.7630010 0.6586406 0.5751954 0.6451440 0.6163192 0.7998669
8 0.33185812 0.7269981 0.6127340 0.5236050 0.6015389 0.5712146 0.7617464
9 0.29304104 0.6814017 0.5642086 0.4737640 0.5540104 0.5261053 0.7173154
10 0.25414252 0.6226340 0.5081233 0.4191263 0.4996371 0.4725098 0.6569245
11 0.21812446 0.5530237 0.4492760 0.3635604 0.4407690 0.4166062 0.5872498
12 0.17978402 0.4695719 0.3821584 0.3040264 0.3723245 0.3524831 0.5066854
13 0.14014916 0.3743112 0.3064631 0.2412863 0.2958679 0.2806777 0.4143758
14 0.10313548 0.2823620 0.2334612 0.1826311 0.2232996 0.2103839 0.3202999
15 0.05710965 0.1539458 0.1310285 0.1025782 0.1237555 0.1186689 0.1843769
98 99 100 101 102 103 104
1 1.0000000 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9624519 0.9171970 0.88404461 0.9279922 0.9688193 0.8979726 0.9043481
3 0.9274310 0.8513523 0.78935618 0.8649117 0.9409182 0.8097773 0.8311083
4 0.8893703 0.7899474 0.69458633 0.8005834 0.9111978 0.7175980 0.7630023
5 0.8501816 0.7333442 0.60961779 0.7402708 0.8806930 0.6422783 0.6989512
6 0.8157375 0.6893781 0.54721972 0.6912660 0.8534319 0.5858640 0.6495317
7 0.7818465 0.6499848 0.49297431 0.6475126 0.8254117 0.5371337 0.6048739
8 0.7427511 0.6086333 0.44385303 0.6027515 0.7912158 0.4933652 0.5591549
9 0.6948888 0.5619308 0.40192195 0.5532760 0.7460308 0.4522081 0.5107143
10 0.6357771 0.5052548 0.35462464 0.4964616 0.6874655 0.4083188 0.4520054
11 0.5650668 0.4410240 0.30938939 0.4336763 0.6157409 0.3626194 0.3913546
12 0.4810346 0.3669460 0.26043152 0.3623697 0.5284940 0.3071028 0.3262353
13 0.3855884 0.2866850 0.20788092 0.2850884 0.4264208 0.2441210 0.2568715
14 0.2959375 0.2135611 0.15673955 0.2140375 0.3272804 0.1827379 0.1912618
15 0.1647150 0.1179102 0.09143109 0.1181095 0.1796339 0.1024657 0.1059607
105 106 107 108 109 110 111
1 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.89185700 0.9479622 0.9428960 0.9413786 0.9416411 0.9458575 0.8902367
3 0.80453389 0.9021723 0.8949515 0.8943101 0.8890624 0.9060447 0.8002112
4 0.71168863 0.8563727 0.8447869 0.8471490 0.8310907 0.8687223 0.7095864
5 0.63053152 0.8154130 0.7939532 0.8028004 0.7733119 0.8330243 0.6309881
6 0.56874918 0.7817667 0.7512760 0.7667471 0.7248421 0.8038930 0.5720336
7 0.51476233 0.7496303 0.7108406 0.7324235 0.6792873 0.7750980 0.5215064
8 0.46652547 0.7139728 0.6664631 0.6944523 0.6320401 0.7407570 0.4756523
9 0.42106233 0.6717180 0.6166806 0.6485920 0.5814439 0.6961065 0.4312758
10 0.37381119 0.6182468 0.5554427 0.5924525 0.5234981 0.6365862 0.3838849
11 0.32857788 0.5539384 0.4890661 0.5265802 0.4614059 0.5657792 0.3359670
12 0.27780886 0.4734237 0.4153341 0.4457551 0.3912096 0.4798774 0.2816179
13 0.22126443 0.3800906 0.3336465 0.3523666 0.3130127 0.3799194 0.2225612
14 0.16586204 0.2880033 0.2556018 0.2654163 0.2388940 0.2852320 0.1661890
15 0.09112387 0.1613855 0.1454430 0.1454856 0.1335664 0.1559122 0.0914606
112 113 114 115 116 117 118
1 1.00000000 1.00000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.88120889 0.87292466 0.89831560 0.9562865 0.9737943 0.9797255 0.9191478
3 0.77338148 0.76852497 0.81457419 0.9163056 0.9503565 0.9579956 0.8484905
4 0.65017792 0.66651270 0.73056969 0.8750905 0.9238503 0.9316279 0.7718256
5 0.53527402 0.57251516 0.65475357 0.8354452 0.8974474 0.9049220 0.7003798
6 0.44975437 0.50248798 0.59689592 0.8018396 0.8742662 0.8797903 0.6427326
7 0.37975487 0.44449981 0.54745992 0.7690238 0.8499873 0.8529374 0.5888612
8 0.32444615 0.39323921 0.50087000 0.7315177 0.8201936 0.8206265 0.5380062
9 0.28246268 0.34781959 0.45460675 0.6877619 0.7831051 0.7801194 0.4884276
10 0.24301690 0.29911809 0.40384597 0.6310445 0.7339281 0.7290361 0.4343660
11 0.20866346 0.25385965 0.35120431 0.5636645 0.6713489 0.6652873 0.3830040
12 0.17356847 0.20864006 0.29229244 0.4826338 0.5872298 0.5830262 0.3276942
13 0.13729412 0.16313784 0.22912926 0.3901103 0.4816169 0.4821204 0.2665391
14 0.10367296 0.12107314 0.17131362 0.2989813 0.3771018 0.3774500 0.2022552
15 0.05917686 0.06802979 0.09567176 0.1710486 0.2195768 0.2124010 0.1102527
119 120 121 122 123 124 125
1 1.0000000 1.00000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9180016 0.90281056 0.9739342 0.9679424 0.9236679 0.9520384 0.9373806
3 0.8495619 0.82392713 0.9495609 0.9383260 0.8600366 0.9119508 0.8849389
4 0.7812692 0.74678510 0.9227200 0.9043297 0.7962434 0.8708616 0.8302505
5 0.7182515 0.67494194 0.8963558 0.8683592 0.7369205 0.8314727 0.7782727
6 0.6683011 0.61955910 0.8730558 0.8361777 0.6893557 0.7984458 0.7354071
7 0.6237557 0.57121303 0.8488153 0.8040168 0.6467526 0.7664149 0.6957545
8 0.5788747 0.52400596 0.8190910 0.7662135 0.6028994 0.7299338 0.6534961
9 0.5302584 0.47623485 0.7812314 0.7199060 0.5542029 0.6842889 0.6050233
10 0.4745120 0.42157839 0.7309712 0.6626702 0.4975826 0.6277062 0.5478193
11 0.4142186 0.36510445 0.6660276 0.5938621 0.4353027 0.5598075 0.4839445
12 0.3458394 0.30367599 0.5798019 0.5101075 0.3640997 0.4759545 0.4091803
13 0.2714273 0.23853640 0.4739473 0.4120536 0.2861590 0.3784587 0.3248459
14 0.2027314 0.17840302 0.3686118 0.3202734 0.2144580 0.2867780 0.2459617
15 0.1114209 0.09982046 0.2109102 0.1821536 0.1185226 0.1571423 0.1367285
126 127 128 129 130 131 132
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.0000000
2 0.9691980 0.9241617 0.9753867 0.9345525 0.9606233 0.88575651 0.9533420
3 0.9404263 0.8580891 0.9513335 0.8757905 0.9247778 0.78632015 0.9104870
4 0.9105483 0.7915350 0.9242780 0.8148074 0.8860338 0.68443933 0.8663323
5 0.8815710 0.7242259 0.8958349 0.7552848 0.8497589 0.59499243 0.8238579
6 0.8564022 0.6697718 0.8702223 0.7060690 0.8187865 0.52696236 0.7881106
7 0.8305565 0.6198256 0.8439489 0.6608033 0.7883226 0.47094007 0.7538354
8 0.7991978 0.5688418 0.8113275 0.6139422 0.7536020 0.42197315 0.7151877
9 0.7594480 0.5167558 0.7709650 0.5629408 0.7122337 0.37685462 0.6709388
10 0.7061219 0.4554493 0.7170999 0.5037074 0.6599117 0.33012899 0.6141517
11 0.6379102 0.3924136 0.6474514 0.4396485 0.5964665 0.28499437 0.5468850
12 0.5504538 0.3267252 0.5588495 0.3687979 0.5155185 0.23710044 0.4665623
13 0.4467173 0.2580441 0.4537103 0.2923091 0.4188979 0.18740850 0.3758483
14 0.3435308 0.1941469 0.3545935 0.2205482 0.3228867 0.14012464 0.2879725
15 0.1936635 0.1084454 0.2080313 0.1217992 0.1845191 0.07797981 0.1658798
133 134 135 136 137 138 139
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9677329 0.9614255 0.9609266 0.9714956 0.9791878 0.9186188 0.9490310
3 0.9412235 0.9284725 0.9229194 0.9436330 0.9586101 0.8523132 0.9042212
4 0.9155615 0.8937360 0.8812945 0.9126664 0.9352213 0.7889297 0.8581650
5 0.8920053 0.8591524 0.8385077 0.8821238 0.9110949 0.7330810 0.8133716
6 0.8720425 0.8292333 0.8008938 0.8552366 0.8889908 0.6893993 0.7758266
7 0.8516204 0.7995103 0.7647656 0.8277470 0.8657479 0.6496885 0.7397603
8 0.8256271 0.7643575 0.7239850 0.7951186 0.8363864 0.6083845 0.6998806
9 0.7892722 0.7192188 0.6750469 0.7552609 0.7985312 0.5640299 0.6524813
10 0.7382530 0.6619823 0.6159316 0.7037886 0.7475066 0.5090365 0.5945370
11 0.6694061 0.5923379 0.5450167 0.6383461 0.6806234 0.4490021 0.5271981
12 0.5759216 0.5063755 0.4615404 0.5533025 0.5933527 0.3795699 0.4475091
13 0.4612569 0.4055601 0.3685354 0.4512122 0.4873268 0.3024645 0.3577254
14 0.3501905 0.3101888 0.2826689 0.3504619 0.3825019 0.2269314 0.2717868
15 0.1951362 0.1717864 0.1577847 0.2004598 0.2220367 0.1287155 0.1494805
140 141 142 143 144 145 146
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9098604 0.9629348 0.9183160 0.9306815 0.9337178 0.9593073 0.9582576
3 0.8335525 0.9293170 0.8549806 0.8733974 0.8793882 0.9261333 0.9209034
4 0.7544673 0.8910430 0.7919541 0.8172294 0.8218614 0.8923640 0.8783997
5 0.6808065 0.8518186 0.7337684 0.7620203 0.7691475 0.8599013 0.8383669
6 0.6233827 0.8175065 0.6879225 0.7169769 0.7263187 0.8322182 0.8045825
7 0.5723742 0.7832936 0.6462894 0.6747619 0.6862881 0.8044909 0.7713415
8 0.5237937 0.7444571 0.6033166 0.6294064 0.6447490 0.7714597 0.7346804
9 0.4759655 0.6983998 0.5561922 0.5786613 0.5976253 0.7276592 0.6935011
10 0.4233113 0.6425047 0.5004725 0.5164675 0.5435684 0.6713925 0.6432480
11 0.3697222 0.5772875 0.4407240 0.4496611 0.4839936 0.6024447 0.5841936
12 0.3102985 0.4977736 0.3719479 0.3769058 0.4118823 0.5156610 0.5077041
13 0.2458597 0.4041966 0.2949887 0.2982991 0.3280516 0.4123938 0.4142508
14 0.1849883 0.3136685 0.2221706 0.2239737 0.2477618 0.3131237 0.3215777
15 0.1028516 0.1769545 0.1239780 0.1236353 0.1355575 0.1704123 0.1863670
147 148 149 150 151 152 153
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9687033 0.9336126 0.9642627 0.9132421 0.9782599 0.9749081 0.9709863
3 0.9387781 0.8748426 0.9331838 0.8391995 0.9585722 0.9512750 0.9454331
4 0.9075945 0.8075305 0.9006032 0.7585270 0.9358931 0.9264226 0.9177256
5 0.8770939 0.7427910 0.8676502 0.6876952 0.9136203 0.9015564 0.8906653
6 0.8505421 0.6898661 0.8391399 0.6325185 0.8936858 0.8793638 0.8672151
7 0.8237765 0.6409554 0.8098256 0.5822650 0.8723857 0.8565838 0.8431201
8 0.7914324 0.5929313 0.7743107 0.5360645 0.8456934 0.8275729 0.8134762
9 0.7505310 0.5441134 0.7315464 0.4908502 0.8108318 0.7888552 0.7756648
10 0.6963127 0.4912610 0.6736126 0.4430054 0.7644558 0.7355702 0.7252895
11 0.6259279 0.4358313 0.6047238 0.3951409 0.7038181 0.6642081 0.6598144
12 0.5359977 0.3709297 0.5213701 0.3389612 0.6193694 0.5716077 0.5717212
13 0.4308035 0.2967446 0.4231946 0.2747060 0.5104797 0.4614606 0.4626954
14 0.3301562 0.2266292 0.3262725 0.2086091 0.4005559 0.3563177 0.3581959
15 0.1865470 0.1268270 0.1881159 0.1140159 0.2308073 0.2038104 0.2062239
154 155 156 157 158 159 160
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000 1.00000000
2 0.9134209 0.9649048 0.9036112 0.9128755 0.9234272 0.86937266 0.85490915
3 0.8296880 0.9338151 0.8267229 0.8411185 0.8591830 0.76707741 0.73345221
4 0.7372210 0.9030675 0.7525859 0.7681464 0.7936745 0.66460372 0.61736058
5 0.6545034 0.8739317 0.6832512 0.7020500 0.7311724 0.57564473 0.52087177
6 0.5900647 0.8491526 0.6297507 0.6503828 0.6810801 0.51024085 0.45321622
7 0.5346018 0.8245157 0.5825126 0.6042206 0.6350883 0.45547838 0.39886224
8 0.4848716 0.7942775 0.5356887 0.5590165 0.5883809 0.40760404 0.35328613
9 0.4410939 0.7546757 0.4876442 0.5114294 0.5387661 0.36373165 0.31555321
10 0.3944768 0.7007974 0.4316865 0.4583547 0.4814551 0.31819348 0.27567449
11 0.3472802 0.6296550 0.3738854 0.4020202 0.4209594 0.27490580 0.23699534
12 0.2939842 0.5373504 0.3112676 0.3370196 0.3534426 0.22793093 0.19486568
13 0.2363203 0.4288235 0.2447477 0.2650268 0.2795311 0.17771852 0.15134946
14 0.1802921 0.3263254 0.1828604 0.1978855 0.2099531 0.13115868 0.11140850
15 0.1046994 0.1842161 0.1020422 0.1082217 0.1157358 0.07212292 0.06362196
161 162 163 164 165 166 167
1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
2 0.9618856 0.9368432 0.9482787 0.9719849 0.9147226 0.9338574 0.9596025
3 0.9271487 0.8835012 0.9041446 0.9429435 0.8426716 0.8795291 0.9221672
4 0.8917304 0.8253923 0.8592845 0.9075599 0.7641431 0.8250196 0.8800498
5 0.8577324 0.7714729 0.8194787 0.8707609 0.6966278 0.7747334 0.8401697
6 0.8289866 0.7272458 0.7869368 0.8370014 0.6445957 0.7336808 0.8061931
7 0.8004588 0.6856874 0.7555501 0.8026804 0.5974994 0.6957161 0.7728026
8 0.7668962 0.6430189 0.7207456 0.7639431 0.5532040 0.6551071 0.7358114
9 0.7263095 0.5958477 0.6795448 0.7175310 0.5111615 0.6071707 0.6938400
10 0.6723357 0.5422208 0.6276512 0.6631052 0.4645632 0.5500089 0.6423620
11 0.6048947 0.4841249 0.5655044 0.5984897 0.4166599 0.4855491 0.5814479
12 0.5201586 0.4144624 0.4858993 0.5190180 0.3584684 0.4096265 0.5038117
13 0.4216279 0.3335128 0.3913188 0.4253145 0.2904592 0.3240937 0.4106283
14 0.3245246 0.2540961 0.2973156 0.3322705 0.2216324 0.2432975 0.3180461
15 0.1860343 0.1402708 0.1669511 0.1846943 0.1272343 0.1328605 0.1831214
[1] 0.38647397 0.61893297 0.09340966 0.36597827 0.37096142 0.61513598
[7] 0.65898311 0.77799582 0.29312298 0.21749805 0.08223235 0.88570630
[13] 0.48587924 0.94458322 0.54710077 0.31651914 0.26991649 0.70739799
[19] 0.30104731 0.98105297 0.38338627 0.95219636 0.77168919 0.92761308
[25] 0.07817261 0.17078757 0.71514211 0.18256500 0.22701834 0.75778245
[31] 0.49049517 0.16130230 0.73952896 0.53604917 0.21127900 0.22195055
[37] 0.20279692 0.96241408 0.73732418 0.13897683 0.99897676 0.18067047
[43] 0.53689230 0.27492332 0.76912734 0.94843439 0.69113971 0.82785981
[49] 0.17676192 0.40217345 0.67122174 0.15906679 0.61562950 0.98925118
[55] 0.75093266 0.46046733 0.19185378 0.48019111 0.76524983 0.14163446
[61] 0.88984066 0.71656300 0.85326146 0.12371699 0.57534152 0.23266401
[67] 0.90011302 0.18669989 0.61455949 0.20392519 0.86145731 0.61420454
[73] 0.94407074 0.30656676 0.36280645 0.40249362 0.80912075 0.36308048
[79] 0.33343180 0.31287039 0.99025548 0.74903878 0.59706864 0.98085578
[85] 0.47691394 0.16731350 0.34766328 0.40470014 0.69272234 0.26470710
[91] 0.86237864 0.28157295 0.68954872 0.84977914 0.92218185 0.21435117
[97] 0.67899691 0.55641068 0.59297812 0.17988824 0.28570215 0.62587490
[103] 0.58298397 0.30378384 0.51572516 0.94387647 0.33348085 0.51836229
[109] 0.81357128 0.97750325 0.50650667 0.65017792 0.32339809 0.64999885
[115] 0.50937197 0.59692079 0.80714323 0.45753371 0.80780957 0.27265201
[121] 0.80878517 0.61698658 0.72812326 0.67937471 0.53924820 0.63655017
[127] 0.67551809 0.57361498 0.48877289 0.66805320 0.58568858 0.88100485
[133] 0.81464892 0.65653505 0.67345932 0.72626097 0.69520283 0.55927101
[139] 0.69000330 0.81725149 0.69002557 0.58385755 0.66918681 0.62603444
[145] 0.80054513 0.73748725 0.76841548 0.84365094 0.94530057 0.91339051
[151] 0.85066878 0.87728110 0.82539201 0.49584647 0.79029370 0.58562072
[157] 0.68221324 0.63597053 0.55633546 0.42571054 0.86172759 0.73197897
[163] 0.78263510 0.84943213 0.83078860 0.78295118 0.84113929
[1] 379.0378 280.6246 226.2492 235.5628 277.0562 285.8569 217.2474 299.8356
[9] 372.9397 349.8538 210.0545 221.6652 296.8041 397.3007 392.4777 374.3227
[17] 377.3362 183.6460 261.9891 176.8361 387.1529 190.1178 213.0463 281.8244
[25] 210.7787 377.7276 174.3353 399.9858 246.9861 283.0843 425.9348 240.4906
[33] 193.4830 324.2735 281.1966 382.7143 416.2192 390.7110 377.2879 304.2796
[41] 397.8178 373.6292 367.0517 280.5714 366.3432 374.4768 237.7916 180.7023
[49] 395.0239 372.0508 312.6322 375.4883 381.8232 263.8942 378.2047 400.3782
[57] 414.6206 350.5628 311.9920 355.9665 312.3917 298.6538 377.6585 291.7421
[65] 305.2394 379.5686 388.5747 387.4060 195.4000 375.3734 293.8843 303.0174
[73] 188.9838 322.4323 437.0095 383.3580 303.8334 404.0190 306.1332 218.9342
[81] 317.1117 299.7354 318.1301 197.8748 203.5568 222.3044 206.0369 294.1678
[89] 299.1253 348.7719 177.9787 374.7383 300.9201 270.9114 298.2913 290.9088
[97] 391.7794 379.8090 299.9637 219.5192 297.4080 402.7051 240.8200 286.5064
[105] 228.5426 376.0082 330.8700 363.1945 306.5008 379.5380 231.9492 185.4531
[113] 200.6152 246.1408 380.2401 442.4055 442.0901 279.2369 291.6791 272.6413
[121] 436.2295 393.3421 297.7153 377.6047 323.8690 415.7683 287.8624 420.7562
[129] 299.4461 396.3812 210.4682 372.8276 428.9093 391.4006 371.1353 418.3261
[137] 446.9658 301.2678 363.6666 271.9478 387.3044 298.5389 303.2548 322.3823
[145] 395.8972 392.4381 406.4294 295.8344 399.3238 279.7821 466.4901 427.5692
[153] 428.5804 236.9591 406.6075 279.0294 286.9868 293.5572 203.8493 183.1313
[161] 398.5813 321.4516 381.6640 398.5359 287.3527 326.6542 390.3544
[1] 411.9039 322.5717 292.3470 299.6628 321.8950 331.6313 276.9224 357.3142
[9] 414.8310 382.0283 275.9663 287.3319 349.7098 435.8851 431.4929 404.9285
[17] 408.7589 239.8735 314.8360 228.9827 419.9343 250.2246 285.4959 327.2790
[25] 273.2103 410.8169 225.6147 436.7200 304.0648 329.4493 465.0873 304.2106
[33] 262.9020 370.3435 322.1891 413.7773 455.7412 425.4360 411.4326 361.3284
[41] 434.1867 407.7618 396.1332 325.7547 410.8033 405.8699 297.9780 235.7766
[49] 430.2779 403.1013 367.6368 408.0153 422.9147 310.0330 415.2481 436.2503
[57] 453.3902 385.1266 362.7041 387.1757 374.8646 360.0761 417.1846 346.9942
[65] 359.4199 414.2383 425.3661 432.3757 256.6778 407.4274 340.7525 360.2433
[73] 247.6918 372.0528 473.6463 415.4589 360.1221 442.9084 365.2307 284.7558
[81] 368.3701 357.7545 366.7316 257.4785 263.0184 284.4685 267.4476 340.0194
[89] 360.2119 379.9020 234.8697 406.0532 359.4493 318.2380 351.6588 339.0685
[97] 433.7573 417.9081 347.8932 286.3721 348.4694 442.4480 309.0448 326.1575
[105] 295.4964 407.0232 381.6521 391.6988 367.3981 410.3493 296.9442 241.2955
[113] 259.3827 305.6392 416.9496 475.8780 474.5474 328.6785 337.3660 313.7849
[121] 470.6260 435.2632 348.1092 409.7966 374.1079 453.2284 332.6004 463.4489
[129] 354.3785 433.4195 274.5819 408.3899 462.2235 428.7759 408.0118 456.5482
[137] 481.9968 354.0230 396.1884 317.7713 426.7357 350.7635 358.1860 372.5466
[145] 430.9700 429.2535 445.6631 353.5024 439.7886 330.3324 492.8796 466.7456
[153] 464.8529 309.0192 444.2322 318.0299 330.6880 343.2039 265.9527 244.4904
[161] 437.0741 375.3283 412.8819 439.8129 340.5758 372.4215 427.6653
[1] 343.7313 258.9560 230.5421 237.1312 258.1146 267.3075 215.6944 291.6865
[9] 345.6919 315.3491 214.4806 225.1156 284.7318 365.6261 361.6393 336.7315
[17] 340.8060 180.6360 251.3724 170.7989 350.8761 190.8673 223.1537 263.2781
[25] 212.0379 341.7910 167.2598 366.5243 241.7455 265.2122 392.8129 241.6116
[33] 202.5895 304.6725 258.7244 345.5204 383.7687 356.1444 343.2351 295.6959
[41] 364.3770 339.0891 328.5324 261.7729 341.7731 337.5244 235.9765 176.8998
[49] 360.5525 335.2430 301.7693 339.7872 352.9689 247.5107 345.7846 366.1857
[57] 382.2282 317.6592 297.4465 320.3087 307.9716 293.8496 347.2131 281.4889
[65] 294.1318 344.9178 356.0365 361.6541 196.9407 339.4766 276.4924 294.0846
[73] 188.4124 305.9485 401.2971 346.6133 294.5408 371.5680 299.1672 223.1293
[81] 302.5066 291.9142 301.2707 197.8964 202.1535 222.9171 206.6971 275.9836
[89] 293.7541 313.0319 176.0957 338.3094 293.6897 254.5154 286.5336 274.5130
[97] 363.3307 348.9542 283.3605 224.3604 283.5696 372.2936 245.9119 262.7809
[105] 233.3521 338.6709 314.5738 324.6977 301.1154 342.6344 234.7872 181.2372
[113] 199.1149 242.9993 347.6783 402.6000 401.6396 264.5127 273.2016 250.7908
[121] 397.9942 364.9293 283.3369 341.6874 307.7719 381.9964 268.4335 390.9674
[129] 289.0483 363.0811 213.2949 339.5101 390.9910 359.3847 339.5593 384.7450
[137] 408.3852 288.6997 328.6537 254.3506 356.8959 285.8336 292.9097 306.4130
[145] 361.7607 358.8454 374.9616 287.8847 369.1262 266.0957 418.6088 394.6278
[153] 392.6704 245.2194 373.8116 254.8809 266.8809 278.6316 205.6155 184.8943
[161] 366.5951 308.7598 344.1663 369.1718 275.4286 306.4528 357.4430
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