Upgraded LUT resolutions to 4096 for 1D LUTs and 65 for 3D LUTs

[OpenColorIO-Configs.git] / aces_1.0.1 / luts / Log2_48_nits_Shaper_to_linear.spi1d

diff --git a/aces_1.0.1/luts/Log2_48_nits_Shaper_to_linear.spi1d b/aces_1.0.1/luts/Log2_48_nits_Shaper_to_linear.spi1d
index 27ae2fc..dfc35da 100644 (file)
--- a/aces_1.0.1/luts/Log2_48_nits_Shaper_to_linear.spi1d
+++ b/aces_1.0.1/luts/Log2_48_nits_Shaper_to_linear.spi1d
@@ -1,1030 +1,4102 @@
 Version 1
 From 0.000000 1.000000
-Length 1024
+Length 4096
 Components 1
 {
          0.00198873784393
-         0.00200633262284
-         0.00202408316545
-         0.00204199063592
-         0.00206005666405
-         0.002078282414
-         0.00209666951559
-         0.00211521913297
-         0.00213393289596
-         0.00215281220153
-         0.0021718586795
-         0.00219107372686
-         0.00221045850776
-         0.00223001488484
-         0.00224974448793
-         0.00226964824833
-         0.00228972849436
-         0.00230998615734
-         0.00233042309992
-         0.00235104095191
-         0.00237184111029
-         0.0023928261362
-         0.00241399602965
-         0.00243535311893
-         0.00245689926669
-         0.00247863610275
-         0.00250056502409
-         0.00252268812619
-         0.00254500680603
-         0.00256752315909
-         0.00259023858234
-         0.00261315493844
-         0.00263627409004
-         0.00265959766693
-         0.00268312776461
-         0.00270686601289
-         0.0027308142744
-         0.0027549744118
-         0.00277934828773
-         0.00280393776484
-         0.0028287449386
-         0.00285377120599
-         0.00287901912816
-         0.00290449056774
-         0.00293018738739
-         0.00295611121692
-         0.00298226485029
-         0.00300864945166
-         0.00303526758216
-         0.00306212133728
-         0.00308921257965
-         0.00311654363759
-         0.00314411637373
-         0.00317193288356
-         0.00319999596104
-         0.00322830700316
-         0.00325686833821
-         0.00328568276018
-         0.00331475283019
-         0.00334407901391
-         0.0033736648038
-         0.00340351252817
-         0.00343362428248
-         0.00346400239505
-         0.00349464896135
-         0.00352556700818
-         0.00355675839819
-         0.00358822592534
-         0.00361997168511
-         0.00365199847147
-         0.00368430837989
-         0.00371690420434
-         0.00374978873879
-         0.00378296361305
-         0.00381643255241
-         0.00385019718669
-         0.00388426100835
-         0.00391862588003
-         0.00395329482853
-         0.00398827018216
-         0.00402355520055
-         0.00405915267766
-         0.00409506494179
-         0.00413129525259
-         0.00416784547269
-         0.00420471932739
-         0.00424191961065
-         0.00427944865078
-         0.0043173097074
-         0.00435550604016
-         0.004394040443
-         0.00443291524425
-         0.00447213416919
-         0.00451170001179
-         0.00455161603168
-         0.00459188548848
-         0.00463251071051
-         0.00467349542305
-         0.00471484288573
-         0.00475655635819
-         0.00479864003137
-         0.00484109483659
-         0.00488392496482
-         0.00492713414133
-         0.00497072562575
-         0.00501470267773
-         0.00505906902254
-         0.00510382745415
-         0.00514898216352
-         0.00519453641027
-         0.00524049345404
-         0.00528685748577
-         0.00533363129944
-         0.00538081908599
-         0.00542842457071
-         0.00547645101324
-         0.00552490260452
-         0.00557378260419
-         0.00562309473753
-         0.00567284366116
-         0.00572303216904
-         0.00577366584912
-         0.00582474656403
-         0.00587627897039
-         0.00592826819047
-         0.00598071701825
-         0.00603362964466
-         0.00608701026067
-         0.00614086352289
-         0.0061951931566
-         0.00625000335276
-         0.00630529830232
-         0.00636108312756
-         0.00641736015677
-         0.00647413684055
-         0.00653141457587
-         0.00658920127898
-         0.0066474978812
-         0.00670630950481
-         0.00676564173773
-         0.00682549877092
-         0.006885885261
-         0.00694680633023
-         0.00700826663524
-         0.00707027036697
-         0.00713282218203
-         0.00719592766836
-         0.00725959194824
-         0.00732381874695
-         0.00738861458376
-         0.00745398318395
-         0.00751993060112
-         0.00758646102622
-         0.00765357958153
-         0.0077212927863
-         0.00778960483149
-         0.00785852130502
-         0.00792804732919
-         0.00799818895757
-         0.00806894991547
-         0.00814033765346
-         0.00821235775948
-         0.00828501395881
-         0.00835831370205
-         0.00843226164579
-         0.00850686337799
-         0.00858212541789
-         0.00865805335343
-         0.00873465277255
-         0.00881193112582
-         0.00888989213854
-         0.00896854232997
-         0.00904788821936
-         0.00912793818861
-         0.00920869410038
-         0.00929016619921
-         0.00937235821038
-         0.00945527758449
-         0.00953892990947
-         0.00962332263589
-         0.00970846321434
-         0.00979435630143
-         0.00988100934774
-         0.0099684279412
-         0.010056624189
-         0.0101455971599
-         0.0102353580296
-         0.0103259123862
-         0.0104172676802
-         0.0105094313622
-         0.0106024108827
-         0.0106962127611
-         0.0107908444479
-         0.0108863133937
-         0.0109826270491
-         0.0110797928646
-         0.0111778182909
-         0.0112767107785
-         0.0113764787093
-         0.0114771286026
-         0.0115786716342
-         0.0116811105981
-         0.011784455739
-         0.0118887163699
-         0.0119938980788
-         0.012100010179
-         0.0122070619836
-         0.012315060012
-         0.0124240145087
-         0.0125339319929
-         0.0126448227093
-         0.0127566941082
-         0.0128695555031
-         0.0129834152758
-         0.0130982827395
-         0.0132141662762
-         0.0133310742676
-         0.0134490178898
-         0.0135680045933
-         0.0136880427599
-         0.0138091444969
-         0.0139313163236
-         0.0140545703471
-         0.014178914018
-         0.0143043575808
-         0.0144309131429
-         0.014558586292
-         0.014687388204
-         0.0148173309863
-         0.0149484239519
-         0.0150806754827
-         0.0152140976861
-         0.0153487026691
-         0.0154844950885
-         0.0156214907765
-         0.015759697184
-         0.0158991273493
-         0.0160397905856
-         0.016181698069
-         0.0163248609751
-         0.01646929048
-         0.0166149977595
-         0.0167619939893
-         0.0169102922082
-         0.0170598998666
-         0.0172108337283
-         0.017363101244
-         0.0175167173147
-         0.0176716931164
-         0.017828039825
-         0.0179857686162
-         0.018144890666
-         0.0183054227382
-         0.0184673760086
-         0.0186307597905
-         0.0187955908477
-         0.0189618803561
-         0.0191296394914
-         0.019298883155
-         0.0194696243852
-         0.0196418780833
-         0.0198156535625
-         0.0199909675866
-         0.0201678313315
-         0.0203462615609
-         0.0205262675881
-         0.0207078699023
-         0.0208910759538
-         0.0210759025067
-         0.0212623663247
-         0.0214504804462
-         0.0216402579099
-         0.0218317210674
-         0.0220248699188
-         0.0222197286785
-         0.0224163122475
-         0.0226146336645
-         0.0228147096932
-         0.0230165570974
-         0.0232201907784
-         0.0234256237745
-         0.0236328784376
-         0.0238419603556
-         0.0240528956056
-         0.0242656990886
-         0.0244803838432
-         0.0246969666332
-         0.0249154642224
-         0.0251358971
-         0.025358280167
-         0.0255826320499
-         0.0258089639246
-         0.0260373037308
-         0.0262676589191
-         0.0265000574291
-         0.026734508574
-         0.0269710347056
-         0.0272096544504
-         0.0274503827095
-         0.0276932436973
-         0.0279382523149
-         0.0281854253262
-         0.0284347906709
-         0.0286863576621
-         0.0289401561022
-         0.029196197167
-         0.0294545032084
-         0.0297150928527
-         0.0299779884517
-         0.0302432104945
-         0.0305107813329
-         0.0307807158679
-         0.0310530401766
-         0.0313277728856
-         0.0316049382091
-         0.0318845510483
-         0.0321666412055
-         0.0324512273073
-         0.0327383317053
-         0.033027973026
-         0.0333201810718
-         0.0336149707437
-         0.0339123681188
-         0.0342123992741
-         0.0345150865614
-         0.0348204486072
-         0.0351285114884
-         0.0354393012822
-         0.0357528403401
-         0.0360691510141
-         0.0363882668316
-         0.0367101989686
-         0.037034984678
-         0.0373626388609
-         0.037693195045
-         0.0380266755819
-         0.0383631177247
-         0.0387025251985
-         0.0390449352562
-         0.039390373975
-         0.0397388711572
+         0.00199311901815
+         0.00199750927277
+         0.00200190977193
+         0.00200632004999
+         0.00201073940843
+         0.00201516901143
+         0.00201960792765
+         0.00202405708842
+         0.00202851602808
+         0.00203298428096
+         0.00203746301122
+         0.00204195152037
+         0.00204644934274
+         0.0020509576425
+         0.00205547525547
+         0.00206000357866
+         0.00206454168074
+         0.00206908932887
+         0.00207364745438
+         0.00207821559161
+         0.00208279327489
+         0.00208738190122
+         0.00209197960794
+         0.0020965882577
+         0.00210120715201
+         0.00210583535954
+         0.00211047451012
+         0.00211512413807
+         0.00211978307925
+         0.00212445296347
+         0.00212913239375
+         0.00213382299989
+         0.00213852385059
+         0.00214323424734
+         0.00214795581996
+         0.00215268763714
+         0.00215742946602
+         0.00216218223795
+         0.0021669450216
+         0.00217171874829
+         0.00217650295235
+         0.00218129716814
+         0.00218610279262
+         0.00219091866165
+         0.00219574454241
+         0.00220058183186
+         0.0022054289002
+         0.00221028761007
+         0.00221515679732
+         0.00222003622912
+         0.00222492706962
+         0.00222982862033
+         0.00223473994993
+         0.00223966315389
+         0.00224459636956
+         0.00224954145961
+         0.00225449725986
+         0.00225946307182
+         0.00226444075815
+         0.00226942938752
+         0.00227442826144
+         0.0022794387769
+         0.0022844595369
+         0.00228949240409
+         0.00229453621432
+         0.0022995902691
+         0.00230465643108
+         0.00230973353609
+         0.00231482111849
+         0.00231992057525
+         0.00232503074221
+         0.00233015278354
+         0.00233528623357
+         0.00234043016098
+         0.00234558596276
+         0.00235075340606
+         0.00235593155958
+         0.00236112158746
+         0.00236632232554
+         0.00237153540365
+         0.00237675989047
+         0.00238199508749
+         0.00238724262454
+         0.00239250180312
+         0.0023977716919
+         0.00240305415355
+         0.00240834709257
+         0.00241365283728
+         0.00241897022352
+         0.0024242985528
+         0.0024296392221
+         0.00243499176577
+         0.00244035525247
+         0.00244573131204
+         0.00245111854747
+         0.00245651835576
+         0.00246193027124
+         0.00246735289693
+         0.00247278856114
+         0.00247823609971
+         0.00248369504698
+         0.0024891665671
+         0.00249464949593
+         0.00250014523044
+         0.00250565307215
+         0.00251117208973
+         0.00251670414582
+         0.00252224877477
+         0.00252780434676
+         0.00253337319009
+         0.00253895344213
+         0.00254454673268
+         0.00255015236326
+         0.00255576963536
+         0.00256139994599
+         0.00256704282947
+         0.00257269712165
+         0.00257836491801
+         0.00258404412307
+         0.00258973683231
+         0.0025954421144
+         0.00260115903802
+         0.00260688923299
+         0.00261263246648
+         0.0026183873415
+         0.00262415548787
+         0.00262993574142
+         0.00263572949916
+         0.00264153606258
+         0.00264735450037
+         0.00265318667516
+         0.00265903165564
+         0.00266488874331
+         0.00267075933516
+         0.00267664319836
+         0.00268253893591
+         0.00268844887614
+         0.0026943704579
+         0.00270030624233
+         0.00270625506528
+         0.00271221599542
+         0.00271819112822
+         0.00272417860106
+         0.0027301798109
+         0.00273619452491
+         0.00274222134613
+         0.00274826260284
+         0.00275431689806
+         0.00276038399898
+         0.00276646506973
+         0.00277255964465
+         0.00277866679244
+         0.00278478814289
+         0.00279092229903
+         0.002797070425
+         0.00280323252082
+         0.00280940718949
+         0.00281559629366
+         0.00282179843634
+         0.0028280147817
+         0.00283424486406
+         0.00284048798494
+         0.00284674554132
+         0.00285301683471
+         0.00285930139944
+         0.00286560016684
+         0.00287191313691
+         0.0028782391455
+         0.00288457982242
+         0.00289093353786
+         0.00289730262011
+         0.00290368520655
+         0.00291008129716
+         0.0029164920561
+         0.00292291631922
+         0.0029293554835
+         0.00293580908328
+         0.00294227548875
+         0.00294875726104
+         0.00295525370166
+         0.00296176294796
+         0.00296828779392
+         0.00297482707538
+         0.00298137962818
+         0.00298794778064
+         0.00299452920444
+         0.0030011262279
+         0.00300773768686
+         0.00301436288282
+         0.00302100321278
+         0.00302765797824
+         0.00303432787769
+         0.00304101221263
+         0.00304771075025
+         0.00305442488752
+         0.00306115392596
+         0.0030678967014
+         0.00307465530932
+         0.0030814288184
+         0.0030882160645
+         0.00309501960874
+         0.00310183712281
+         0.00310867023654
+         0.0031155187171
+         0.00312238116749
+         0.00312925991602
+         0.0031361526344
+         0.00314306165092
+         0.00314998580143
+         0.00315692415461
+         0.00316387880594
+         0.00317084905691
+         0.00317783351056
+         0.00318483426236
+         0.0031918506138
+         0.00319888116792
+         0.00320592825301
+         0.00321299023926
+         0.003220068058
+         0.00322716217488
+         0.00323427049443
+         0.00324139581062
+         0.00324853556231
+         0.00325569184497
+         0.00326286442578
+         0.00327005144209
+         0.0032772552222
+         0.00328447506763
+         0.00329171004705
+         0.00329896155745
+         0.00330622913316
+         0.00331351161003
+         0.0033208115492
+         0.00332812638953
+         0.0033354582265
+         0.00334280612879
+         0.00335016939789
+         0.00335754989646
+         0.0033649452962
+         0.00337235839106
+         0.00337978778407
+         0.0033872325439
+         0.00339469430037
+         0.00340217305347
+         0.00340966670774
+         0.00341717828996
+         0.003424706636
+         0.00343225011602
+         0.003439811524
+         0.00344738829881
+         0.00345498276874
+         0.00346259423532
+         0.00347022130154
+         0.00347786629573
+         0.00348552665673
+         0.00349320564419
+         0.00350090116262
+         0.00350861344486
+         0.00351634202525
+         0.0035240885336
+         0.00353185087442
+         0.00353963160887
+         0.00354742933996
+         0.00355524336919
+         0.00356307579204
+         0.00357092381455
+         0.00357879092917
+         0.00358667480759
+         0.00359457521699
+         0.00360249425285
+         0.00361043051817
+         0.00361838331446
+         0.00362635450438
+         0.00363434338942
+         0.00364234880544
+         0.00365037284791
+         0.00365841365419
+         0.00366647285409
+         0.00367455044761
+         0.00368264433928
+         0.0036907568574
+         0.00369888683781
+         0.00370703521185
+         0.0037152019795
+         0.00372338527814
+         0.00373158790171
+         0.00373980891891
+         0.00374804623425
+         0.0037563033402
+         0.00376457883976
+         0.00377287087031
+         0.00378118222579
+         0.00378951127641
+         0.00379785965197
+         0.00380622642115
+         0.00381461041979
+         0.00382301374339
+         0.00383143476211
+         0.0038398753386
+         0.00384833477437
+         0.00385681143962
+         0.0038653081283
+         0.00387382344343
+         0.00388235622086
+         0.00389090902172
+         0.00389948068187
+         0.00390807026997
+         0.00391667941585
+         0.00392530672252
+         0.00393395405263
+         0.00394262094051
+         0.00395130505785
+         0.0039600096643
+         0.00396873289719
+         0.00397747568786
+         0.0039862380363
+         0.00399501854554
+         0.00400381954387
+         0.00401263870299
+         0.00402147881687
+         0.00403033802286
+         0.00403921725228
+         0.00404811417684
+         0.00405703205615
+         0.00406596856192
+         0.00407492602244
+         0.00408390304074
+         0.00409289868549
+         0.00410191528499
+         0.00411095051095
+         0.00412000715733
+         0.00412908336148
+         0.00413817865774
+         0.00414729490876
+         0.0041564302519
+         0.00416558654979
+         0.00417476380244
+         0.00418396107852
+         0.0041931765154
+         0.00420241430402
+         0.00421167071909
+         0.00422094902024
+         0.00423024827614
+         0.0042395661585
+         0.00424890592694
+         0.0042582647875
+         0.00426764599979
+         0.00427704770118
+         0.00428646849468
+         0.00429591163993
+         0.00430537434295
+         0.00431485893205
+         0.00432436447591
+         0.00433389144018
+         0.00434343749657
+         0.0043530059047
+         0.00436259433627
+         0.00437220558524
+         0.00438183732331
+         0.00439148908481
+         0.00440116366372
+         0.00441085780039
+         0.00442057522014
+         0.00443031359464
+         0.00444007245824
+         0.00444985413924
+         0.00445965537801
+         0.00446947989985
+         0.00447932630777
+         0.00448919460177
+         0.00449908291921
+         0.00450899451971
+         0.00451892614365
+         0.00452888151631
+         0.00453885877505
+         0.00454885652289
+         0.00455887755379
+         0.00456891907379
+         0.00457898480818
+         0.00458907242864
+         0.00459918053821
+         0.00460931286216
+         0.0046194656752
+         0.00462964223698
+         0.00463984115049
+         0.00465006334707
+         0.00466030556709
+         0.00467057246715
+         0.00468086032197
+         0.00469117192551
+         0.00470150681213
+         0.00471186311916
+         0.00472224317491
+         0.00473264465109
+         0.00474307080731
+         0.00475351978093
+         0.00476399017498
+         0.00477448524907
+         0.00478500220925
+         0.00479554338381
+         0.00480610830709
+         0.00481669604778
+         0.00482730567455
+         0.00483794044703
+         0.00484859710559
+         0.0048592784442
+         0.00486998353153
+         0.00488071050495
+         0.00489146262407
+         0.00490223709494
+         0.00491303671151
+         0.00492386054248
+         0.00493470579386
+         0.00494557712227
+         0.00495647080243
+         0.00496739009395
+         0.0049783331342
+         0.00498930038884
+         0.00500029046088
+         0.0050113061443
+         0.00502234417945
+         0.00503340829164
+         0.00504449754953
+         0.00505560869351
+         0.00506674638018
+         0.00507790688425
+         0.00508909346536
+         0.00510030472651
+         0.00511153927073
+         0.00512279989198
+         0.00513408379629
+         0.0051453942433
+         0.00515672983602
+         0.00516809010878
+         0.00517947366461
+         0.0051908842288
+         0.00520231807604
+         0.00521377846599
+         0.00522526493296
+         0.005236774683
+         0.00524831097573
+         0.00525987148285
+         0.00527145899832
+         0.00528307212517
+         0.00529470900074
+         0.00530637335032
+         0.00531806144863
+         0.00532977748662
+         0.00534151867032
+         0.00535328639671
+         0.00536507787183
+         0.00537689775229
+         0.00538874091581
+         0.00540061248466
+         0.00541251013055
+         0.00542443199083
+         0.00543638225645
+         0.00544835720211
+         0.00546035962179
+         0.00547238904983
+         0.00548444269225
+         0.00549652520567
+         0.00550863239914
+         0.00552076799795
+         0.00553293013945
+         0.00554511928931
+         0.00555733358487
+         0.00556957628578
+         0.00558184459805
+         0.00559414085001
+         0.00560646504164
+         0.00561881437898
+         0.00563119258732
+         0.00564359687269
+         0.0056560295634
+         0.00566848972812
+         0.00568097596988
+         0.00569349108264
+         0.00570603180677
+         0.00571860279888
+         0.00573120033368
+         0.00574382627383
+         0.005756478291
+         0.00576915964484
+         0.00578186707571
+         0.00579460524023
+         0.00580737041309
+         0.00582016259432
+         0.0058329841122
+         0.00584583263844
+         0.005858710967
+         0.00587161816657
+         0.0058845509775
+         0.00589751452208
+         0.00591050507501
+         0.00592352589592
+         0.00593657558784
+         0.00594965415075
+         0.00596275925636
+         0.00597589556128
+         0.00598905840889
+         0.0060022524558
+         0.00601547537372
+         0.00602872576565
+         0.00604200642556
+         0.00605531595647
+         0.00606865575537
+         0.00608202442527
+         0.0060954215005
+         0.00610884977505
+         0.00612230598927
+         0.00613579340279
+         0.00614931061864
+         0.00616285763681
+         0.006176432129
+         0.00619003921747
+         0.00620367424563
+         0.00621734047309
+         0.00623103743419
+         0.00624476466328
+         0.00625851983204
+         0.00627230713144
+         0.00628612330183
+         0.00629997160286
+         0.00631385063753
+         0.00632775761187
+         0.00634169811383
+         0.00635566702113
+         0.00636966852471
+         0.00638370122761
+         0.00639776233584
+         0.00641185650602
+         0.00642598047853
+         0.006440136116
+         0.00645432434976
+         0.00646854285151
+         0.00648279162124
+         0.00649707298726
+         0.00651138368994
+         0.00652572885156
+         0.00654010474682
+         0.0065545104444
+         0.00656895013526
+         0.0065834200941
+         0.0065979231149
+         0.00661245826632
+         0.00662702322006
+         0.0066416230984
+         0.00665625277907
+         0.006670916453
+         0.00668561225757
+         0.00670034065843
+         0.00671509979293
+         0.00672989245504
+         0.00674471678212
+         0.00675957556814
+         0.00677446695045
+         0.00678938860074
+         0.00680434610695
+         0.00681933341548
+         0.00683435657993
+         0.00684941327199
+         0.00686450023204
+         0.00687962304801
+         0.00689477659762
+         0.00690996553749
+         0.00692518847063
+         0.00694044493139
+         0.00695573259145
+         0.00697105610743
+         0.00698641128838
+         0.00700180232525
+         0.00701722688973
+         0.0070326840505
+         0.00704817706719
+         0.00706370174885
+         0.00707926321775
+         0.00709485867992
+         0.00711048673838
+         0.00712615158409
+         0.0071418476291
+         0.00715758185834
+         0.00717334961519
+         0.00718915276229
+         0.00720498850569
+         0.00722086103633
+         0.00723676662892
+         0.00725270900875
+         0.00726868677884
+         0.00728469761088
+         0.00730074569583
+         0.00731682730839
+         0.00733294570819
+         0.00734910089523
+         0.00736528867856
+         0.00738151371479
+         0.00739777367562
+         0.00741407042369
+         0.00743040395901
+         0.00744677335024
+         0.00746317580342
+         0.00747961783782
+         0.0074960924685
+         0.00751260668039
+         0.00752915767953
+         0.00754574174061
+         0.00756236445159
+         0.00757902255282
+         0.00759571930394
+         0.0076124528423
+         0.00762922083959
+         0.00764602748677
+         0.00766286952421
+         0.0076797506772
+         0.00769666954875
+         0.00771362520754
+         0.00773061625659
+         0.00774764688686
+         0.00776471244171
+         0.00778181804344
+         0.00779896136373
+         0.00781614053994
+         0.0078333588317
+         0.00785061344504
+         0.00786790810525
+         0.00788524188101
+         0.00790261011571
+         0.00792001932859
+         0.00793746579438
+         0.00795495137572
+         0.00797247607261
+         0.00799003988504
+         0.00800763908774
+         0.00802527740598
+         0.00804295763373
+         0.00806067604572
+         0.00807843450457
+         0.00809622835368
+         0.00811406411231
+         0.00813193712384
+         0.00814985204488
+         0.00816780608147
+         0.00818580016494
+         0.00820383056998
+         0.0082219010219
+         0.00824001431465
+         0.00825816672295
+         0.00827636010945
+         0.00829458981752
+         0.00831286050379
+         0.00833117309958
+         0.00834952760488
+         0.00836792215705
+         0.0083863530308
+         0.00840482860804
+         0.00842334143817
+         0.00844189804047
+         0.00846049655229
+         0.00847913511097
+         0.00849781185389
+         0.00851652957499
+         0.00853529199958
+         0.00855409540236
+         0.00857293978333
+         0.00859182327986
+         0.0086107486859
+         0.0086297178641
+         0.00864872895181
+         0.00866778288037
+         0.00868687499315
+         0.00870601180941
+         0.00872518867254
+         0.00874441117048
+         0.00876367464662
+         0.00878298096359
+         0.00880232732743
+         0.00882171560079
+         0.00884115044028
+         0.00886062718928
+         0.00888014771044
+         0.00889970827848
+         0.00891931075603
+         0.00893895979971
+         0.00895865261555
+         0.00897838920355
+         0.00899816583842
+         0.00901798903942
+         0.00903785228729
+         0.00905776303262
+         0.0090777175501
+         0.00909771583974
+         0.00911775510758
+         0.00913783814758
+         0.00915796961635
+         0.00917814485729
+         0.00919836387038
+         0.00921862572432
+         0.00923893135041
+         0.00925928447396
+         0.00927968230098
+         0.00930012669414
+         0.00932061113417
+         0.0093411449343
+         0.00936172064394
+         0.00938234385103
+         0.00940301362425
+         0.00942372810096
+         0.00944448634982
+         0.00946528930217
+         0.00948614161462
+         0.00950703956187
+         0.00952798407525
+         0.00954897049814
+         0.00957000441849
+         0.00959108676761
+         0.00961221661419
+         0.00963339209557
+         0.00965461134911
+         0.00967588089406
+         0.00969719421118
+         0.0097185568884
+         0.00973996706307
+         0.00976142380387
+         0.00978292524815
+         0.00980447418988
+         0.00982607342303
+         0.00984772108495
+         0.00986941531301
+         0.00989115424454
+         0.00991294160485
+         0.0099347801879
+         0.00995666626841
+         0.00997860077769
+         0.0100005809218
+         0.0100226122886
+         0.0100446883589
+         0.0100668165833
+         0.0100889950991
+         0.0101112211123
+         0.0101334927604
+         0.0101558137685
+         0.0101781869307
+         0.010200609453
+         0.0102230822667
+         0.010245599784
+         0.0102681675926
+         0.0102907884866
+         0.010313459672
+         0.0103361802176
+         0.0103589473292
+         0.0103817684576
+         0.0104046361521
+         0.010427556932
+         0.0104505298659
+         0.01047355216
+         0.0104966219515
+         0.0105197429657
+         0.0105429179966
+         0.0105661442503
+         0.0105894217268
+         0.0106127467006
+         0.0106361228973
+         0.0106595549732
+         0.0106830373406
+         0.0107065727934
+         0.0107301557437
+         0.0107537955046
+         0.0107774818316
+         0.0108012249693
+         0.0108250202611
+         0.010848867707
+         0.0108727645129
+         0.0108967144042
+         0.0109207192436
+         0.0109447780997
+         0.0109688891098
+         0.0109930504113
+         0.0110172647983
+         0.0110415359959
+         0.0110658602789
+         0.0110902385786
+         0.0111146671697
+         0.0111391525716
+         0.0111636891961
+         0.0111882817
+         0.0112129300833
+         0.0112376324832
+         0.0112623851746
+         0.0112871946767
+         0.0113120591268
+         0.0113369794562
+         0.0113619528711
+         0.0113869821653
+         0.0114120664075
+         0.0114372065291
+         0.0114624006674
+         0.011487650685
+         0.011512956582
+         0.0115383192897
+         0.0115637369454
+         0.0115892104805
+         0.0116147389635
+         0.01164032612
+         0.0116659682244
+         0.0116916662082
+         0.011717421934
+         0.0117432363331
+         0.011769104749
+         0.0117950290442
+         0.0118210120127
+         0.0118470545858
+         0.0118731511757
+         0.0118993055075
+         0.0119255185127
+         0.0119517911226
+         0.0119781186804
+         0.0120045049116
+         0.0120309488848
+         0.0120574524626
+         0.0120840128511
+         0.0121106328443
+         0.0121373115107
+         0.0121640488505
+         0.012190845795
+         0.0122176995501
+         0.0122446129099
+         0.0122715877369
+         0.0122986212373
+         0.0123257124797
+         0.012352864258
+         0.0123800784349
+         0.0124073494226
+         0.0124346809462
+         0.0124620730057
+         0.0124895274639
+         0.0125170396641
+         0.0125446133316
+         0.0125722466037
+         0.0125999432057
+         0.0126276994124
+         0.0126555152237
+         0.012683394365
+         0.0127113368362
+         0.0127393370494
+         0.0127673996612
+         0.0127955246717
+         0.012823713012
+         0.0128519618884
+         0.012880272232
+         0.0129086468369
+         0.0129370847717
+         0.0129655832425
+         0.0129941441119
+         0.0130227673799
+         0.0130514577031
+         0.013080207631
+         0.0131090208888
+         0.0131378984079
+         0.0131668411195
+         0.0131958462298
+         0.01322491467
+         0.0132540464401
+         0.0132832461968
+         0.0133125064895
+         0.013341832906
+         0.0133712226525
+         0.0134006785229
+         0.0134301995859
+         0.0134597839788
+         0.0134894335642
+         0.0135191511363
+         0.0135489311069
+         0.0135787772015
+         0.0136086894199
+         0.0136386696249
+         0.0136687131599
+         0.01369882375
+         0.0137290004641
+         0.013759246096
+         0.0137895550579
+         0.013819931075
+         0.0138503750786
+         0.0138808870688
+         0.0139114651829
+         0.0139421094209
+         0.0139728225768
+         0.0140036046505
+         0.0140344528481
+         0.014065368101
+         0.0140963513404
+         0.0141274062917
+         0.0141585264355
+         0.0141897164285
+         0.0142209734768
+         0.0142523031682
+         0.0142836980522
+         0.0143151637167
+         0.0143466964364
+         0.0143783036619
+         0.0144099770114
+         0.0144417192787
+         0.0144735332578
+         0.0145054180175
+         0.0145373707637
+         0.0145693952218
+         0.014601489529
+         0.0146336555481
+         0.0146658914164
+         0.0146981989965
+         0.0147305773571
+         0.0147630274296
+         0.0147955482826
+         0.0148281408474
+         0.014860805124
+         0.0148935439065
+         0.0149263516068
+         0.0149592328817
+         0.014992184937
+         0.0150252133608
+         0.0150583125651
+         0.0150914834812
+         0.0151247279719
+         0.0151580478996
+         0.0151914386079
+         0.0152249028906
+         0.0152584416792
+         0.0152920549735
+         0.0153257418424
+         0.0153595013544
+         0.0153933363035
+         0.0154272476211
+         0.0154612325132
+         0.0154952909797
+         0.0155294248834
+         0.0155636360869
+         0.0155979208648
+         0.0156322810799
+         0.0156667158008
+         0.0157012306154
+         0.0157358162105
+         0.0157704800367
+         0.0158052202314
+         0.0158400386572
+         0.0158749334514
+         0.0159099027514
+         0.0159449502826
+         0.0159800779074
+         0.0160152781755
+         0.0160505585372
+         0.0160859152675
+         0.0161213520914
+         0.0161568652838
+         0.0161924567074
+         0.016228126362
+         0.0162638761103
+         0.0162997040898
+         0.0163356103003
+         0.0163715947419
+         0.01640766114
+         0.0164438039064
+         0.0164800286293
+         0.0165163315833
+         0.0165527164936
+         0.016589179635
+         0.0166257228702
+         0.0166623461992
+         0.0166990552098
+         0.0167358387262
+         0.0167727060616
+         0.0168096534908
+         0.0168466866016
+         0.0168837960809
+         0.0169209893793
+         0.016958264634
+         0.0169956237078
+         0.0170330610126
+         0.0170705839992
+         0.0171081870794
+         0.017145877704
+         0.0171836465597
+         0.0172214992344
+         0.0172594357282
+         0.0172974579036
+         0.0173355620354
+         0.0173737499863
+         0.0174120217562
+         0.0174503792077
+         0.017488822341
+         0.0175273455679
+         0.0175659563392
+         0.0176046546549
+         0.0176434349269
+         0.0176823008806
+         0.0177212525159
+         0.0177602916956
+         0.017799416557
+         0.0178386252373
+         0.0178779195994
+         0.0179173052311
+         0.0179567765445
+         0.0179963316768
+         0.0180359743536
+         0.0180757082999
+         0.0181155260652
+         0.0181554332376
+         0.0181954260916
+         0.0182355102152
+         0.0182756800205
+         0.0183159392327
+         0.0183562859893
+         0.0183967258781
+         0.0184372514486
+         0.0184778645635
+         0.0185185689479
+         0.018559364602
+         0.0186002478004
+         0.0186412222683
+         0.0186822861433
+         0.0187234431505
+         0.0187646877021
+         0.0188060253859
+         0.0188474524766
+         0.0188889726996
+         0.0189305860549
+         0.0189722850919
+         0.0190140791237
+         0.0190559644252
+         0.0190979447216
+         0.0191400144249
+         0.0191821772605
+         0.0192244332284
+         0.0192667841911
+         0.0193092264235
+         0.0193517617881
+         0.019394390285
+         0.0194371156394
+         0.0194799341261
+         0.0195228457451
+         0.0195658504963
+         0.0196089558303
+         0.0196521505713
+         0.0196954421699
+         0.0197388269007
+         0.0197823122144
+         0.0198258887976
+         0.0198695622385
+         0.0199133325368
+         0.0199572015554
+         0.0200011655688
+         0.0200452245772
+         0.0200893804431
+         0.0201336387545
+         0.0201779901981
+         0.0202224384993
+         0.0202669855207
+         0.0203116331249
+         0.0203563775867
+         0.020401218906
+         0.0204461589456
+         0.0204912032932
+         0.0205363426358
+         0.0205815806985
+         0.0206269193441
+         0.0206723604351
+         0.0207178983837
+         0.0207635369152
+         0.0208092760295
+         0.0208551194519
+         0.0209010597318
+         0.0209471005946
+         0.0209932439029
+         0.0210394915193
+         0.0210858397186
+         0.0211322885007
+         0.0211788397282
+         0.0212254971266
+         0.0212722532451
+         0.0213191118091
+         0.0213660746813
+         0.0214131455868
+         0.0214603170753
+         0.0215075910091
+         0.0215549673885
+         0.0216024536639
+         0.0216500405222
+         0.0216977316886
+         0.0217455290258
+         0.0217934343964
+         0.0218414422125
+         0.0218895561993
+         0.0219377744943
+         0.021986104548
+         0.0220345351845
+         0.0220830757171
+         0.0221317205578
+         0.0221804771572
+         0.0222293380648
+         0.0222783051431
+         0.0223273802549
+         0.022376568988
+         0.0224258601665
+         0.0224752612412
+         0.0225247703493
+         0.0225743949413
+         0.0226241219789
+         0.0226739589125
+         0.0227239057422
+         0.0227739661932
+         0.0228241346776
+         0.0228744130582
+         0.0229248013347
+         0.0229753050953
+         0.0230259168893
+         0.0230766385794
+         0.0231274738908
+         0.0231784228235
+         0.0232294816524
+         0.0232806522399
+         0.0233319364488
+         0.0233833380044
+         0.0234348475933
+         0.0234864726663
+         0.0235382094979
+         0.0235900636762
+         0.0236420296133
+         0.0236941091716
+         0.0237463023514
+         0.023798616603
+         0.0238510407507
+         0.0239035822451
+         0.0239562373608
+         0.0240090135485
+         0.0240619014949
+         0.0241149049252
+         0.0241680257022
+         0.0242212712765
+         0.0242746248841
+         0.0243280977011
+         0.02438169159
+         0.0244354028255
+         0.0244892314076
+         0.0245431754738
+         0.0245972424746
+         0.0246514305472
+         0.0247057341039
+         0.0247601568699
+         0.0248146988451
+         0.0248693674803
+         0.0249241497368
+         0.0249790549278
+         0.0250340793282
+         0.0250892285258
+         0.0251444987953
+         0.0251998864114
+         0.0252553988248
+         0.0253110360354
+         0.0253667924553
+         0.0254226736724
+         0.0254786740988
+         0.0255348049104
+         0.0255910530686
+         0.0256474260241
+         0.0257039237767
+         0.0257605500519
+         0.025817297399
+         0.0258741695434
+         0.025931166485
+         0.025988291949
+         0.0260455403477
+         0.0261029154062
+         0.026160415262
+         0.0262180473655
+         0.026275800541
+         0.0263336822391
+         0.0263916924596
+         0.0264498330653
+         0.0265080984682
+         0.0265664923936
+         0.0266250129789
+         0.0266836695373
+         0.0267424490303
+         0.0268013570458
+         0.0268603991717
+         0.0269195698202
+         0.0269788708538
+         0.0270383022726
+         0.0270978622139
+         0.0271575599909
+         0.0272173844278
+         0.0272773392498
+         0.0273374263197
+         0.027397653088
+         0.0274580046535
+         0.027518492192
+         0.0275791101158
+         0.0276398677379
+         0.0277007538825
+         0.0277617741376
+         0.0278229303658
+         0.0278842244297
+         0.0279456507415
+         0.028007209301
+         0.0280689056963
+         0.0281307417899
+         0.0281927082688
+         0.0282548125833
+         0.028317052871
+         0.0283794347197
+         0.0284419525415
+         0.0285046063364
+         0.0285673961043
+         0.0286303311586
+         0.0286933984607
+         0.0287566073239
+         0.0288199540228
+         0.0288834441453
+         0.0289470683783
+         0.029010836035
+         0.0290747415274
+         0.0291387923062
+         0.0292029827833
+         0.0292673110962
+         0.0293317828327
+         0.0293964035809
+         0.0294611565769
+         0.0295260548592
+         0.0295910965651
+         0.0296562872827
+         0.029721615836
+         0.029787087813
+         0.0298527032137
+         0.0299184713513
+         0.0299843754619
+         0.0300504267216
+         0.0301166251302
+         0.0301829725504
+         0.0302494578063
+         0.0303160957992
+         0.0303828772157
+         0.0304498113692
+         0.030516885221
+         0.0305841099471
+         0.0306514836848
+         0.0307190082967
+         0.030786678195
+         0.0308544952422
+         0.0309224650264
+         0.0309905875474
+         0.0310588553548
+         0.0311272721738
+         0.0311958417296
+         0.0312645658851
+         0.0313334353268
+         0.0314024612308
+         0.031471632421
+         0.0315409675241
+         0.0316104441881
+         0.0316800773144
+         0.0317498669028
+         0.0318198055029
+         0.0318899042904
+         0.0319601595402
+         0.0320305563509
+         0.0321011207998
+         0.0321718305349
+         0.0322427041829
+         0.0323137380183
+         0.0323849134147
+         0.0324562564492
+         0.0325277596712
+         0.0325994081795
+         0.0326712243259
+         0.0327431894839
+         0.0328153222799
+         0.0328876152635
+         0.0329600572586
+         0.0330326668918
+         0.0331054404378
+         0.0331783592701
+         0.0332514494658
+         0.0333246923983
+         0.0333981104195
+         0.0334716886282
+         0.0335454121232
+         0.0336193144321
+         0.0336933769286
+         0.0337675921619
+         0.0338419862092
+         0.033916529268
+         0.0339912474155
+         0.0340661294758
+         0.0341411679983
+         0.0342163816094
+         0.0342917591333
+         0.0343672931194
+         0.0344430021942
+         0.0345188714564
+         0.0345949158072
+         0.0346711315215
+         0.0347474999726
+         0.0348240472376
+         0.0349007695913
+         0.0349776446819
+         0.0350546985865
+         0.0351319126785
+         0.0352093093097
+         0.035286873579
+         0.0353646017611
+         0.0354425087571
+         0.0355205908418
+         0.0355988331139
+         0.0356772579253
+         0.0357558391988
+         0.0358346104622
+         0.0359135568142
+         0.0359926633537
+         0.0360719561577
+         0.036151420325
+         0.0362310521305
+         0.0363108702004
+         0.0363908521831
+         0.0364710204303
+         0.0365513674915
+         0.0366318784654
+         0.0367125794291
+         0.0367934554815
+         0.0368745028973
+         0.0369557365775
+         0.0370371378958
+         0.0371187292039
+         0.0372005067766
+         0.0372824445367
+         0.0373645797372
+         0.0374468937516
+         0.0375293754041
+         0.037612054497
+         0.0376949049532
+         0.0377779453993
+         0.0378611721098
+         0.0379445664585
+         0.0380281582475
+         0.038111936301
+         0.0381958819926
+         0.0382800288498
+         0.0383643470705
+         0.0384488664567
+         0.0385335683823
+         0.0386184453964
+         0.0387035235763
+         0.0387887880206
+         0.0388742275536
+         0.0389598682523
+         0.0390456840396
+         0.0391317009926
+         0.0392179116607
+         0.0393042936921
+         0.0393908843398
+         0.039477661252
+         0.0395646169782
+         0.0396517775953
+         0.0397391207516
+         0.0398266650736
+         0.0399144031107
+         0.0400023236871
          0.0400904491544
-         0.040445137769
-         0.040802963078
-         0.0411639586091
-         0.041528146714
-         0.0418955497444
-         0.0422662124038
-         0.0426401495934
-         0.0430173948407
-         0.0433979816735
-         0.0437819324434
-         0.044169280678
-         0.0445600561798
-         0.0449542887509
-         0.0453520081937
-         0.0457532517612
-         0.046158041805
-         0.0465664081275
-         0.0469783954322
-         0.0473940186203
-         0.0478133298457
-         0.0482363402843
-         0.0486630983651
-         0.0490936338902
-         0.0495279729366
-         0.049966160208
-         0.0504082217813
-         0.0508542060852
-         0.051304128021
-         0.0517580248415
-         0.0522159449756
-         0.0526779070497
-         0.0531439594924
-         0.0536141358316
-         0.05408847332
-         0.0545670054853
-         0.0550497733057
-         0.0555368065834
-         0.0560281574726
-         0.0565238520503
-         0.0570239275694
-         0.0575284324586
-         0.0580374002457
-         0.0585508719087
-         0.0590688809752
-         0.0595914758742
-         0.0601186975837
-         0.0606505796313
-         0.0611871667206
-         0.0617285072803
-         0.0622746311128
-         0.0628255903721
-         0.0633814185858
-         0.0639421716332
-         0.0645078793168
-         0.0650785937905
-         0.0656543597579
-         0.0662352144718
-         0.0668212175369
-         0.0674124211073
-         0.0680088326335
-         0.0686105266213
-         0.0692175328732
-         0.0698299109936
-         0.0704477205873
-         0.0710709840059
-         0.0716997608542
-         0.0723341107368
-         0.0729740634561
-         0.0736196860671
-         0.0742710083723
-         0.0749281048775
-         0.0755910128355
-         0.0762597844005
-         0.0769344642758
-         0.0776151195168
-         0.0783018022776
-         0.0789945572615
-         0.0796934366226
-         0.0803984999657
-         0.0811098068953
-         0.0818274021149
-         0.0825513452291
-         0.0832816958427
-         0.0840185061097
-         0.0847618356347
-         0.0855117440224
-         0.0862682908773
-         0.0870315209031
-         0.0878015086055
-         0.0885783061385
-         0.0893619805574
-         0.0901525914669
-         0.0909501835704
-         0.0917548462749
-         0.0925666168332
-         0.0933855772018
-         0.0942117795348
-         0.0950452908874
-         0.0958861783147
-         0.0967345014215
-         0.0975903347135
-         0.0984537377954
-         0.0993247777224
-         0.10020352155
-         0.101090051234
-         0.101984411478
-         0.10288669914
-         0.103796951473
-         0.104715265334
-         0.105641715229
-         0.106576345861
-         0.107519246638
-         0.108470499516
-         0.109430164099
-         0.110398314893
-         0.111375033855
-         0.112360388041
-         0.113354466856
-         0.114357337356
-         0.115369074047
-         0.116389773786
-         0.11741951108
-         0.118458382785
-         0.119506403804
-         0.120563700795
-         0.121630363166
-         0.122706450522
-         0.12379205972
-         0.124887272716
-         0.125992178917
-         0.12710686028
-         0.128231406212
-         0.129365891218
-         0.130510434508
-         0.131665080786
-         0.13282994926
-         0.134005129337
-         0.135190695524
-         0.13638676703
-         0.137593403459
-         0.13881072402
-         0.140038818121
-         0.141277775168
-         0.142527684569
-         0.143788665533
-         0.145060792565
-         0.146344169974
-         0.147638902068
-         0.148945093155
-         0.150262862444
-         0.15159226954
-         0.152933433652
-         0.154286473989
-         0.155651479959
-         0.157028615475
-         0.158417880535
-         0.159819439054
-         0.161233395338
-         0.162659853697
-         0.16409894824
-         0.165550768375
-         0.167015433311
-         0.168493047357
-         0.169983744621
-         0.171487629414
-         0.173004820943
-         0.174535438418
-         0.176079601049
-         0.177637398243
-         0.179209008813
-         0.180794492364
-         0.182394042611
-         0.184007719159
-         0.18563567102
-         0.187278017402
-         0.188934922218
-         0.190606474876
-         0.192292809486
-         0.193994060159
-         0.195710375905
-         0.197441861033
-         0.199188679457
-         0.200950935483
-         0.202728793025
-         0.204522401094
-         0.206331834197
-         0.208157300949
-         0.209998935461
-         0.211856812239
-         0.213731169701
-         0.215622097254
-         0.217529758811
-         0.219454288483
-         0.221395850182
-         0.223354592919
-         0.225330650806
-         0.227324202657
-         0.229335382581
-         0.231364369392
-         0.233411312103
-         0.235476359725
-         0.237559661269
-         0.239661559463
-         0.241781890392
-         0.243920996785
-         0.246079012752
-         0.248256132007
-         0.250452488661
-         0.25266829133
-         0.25490373373
-         0.25715893507
-         0.259434074163
-         0.261729329824
-         0.264044910669
-         0.266380995512
-         0.268737703562
-         0.271115273237
-         0.273513883352
-         0.275933742523
-         0.278374969959
-         0.280837833881
-         0.283322453499
-         0.28582906723
-         0.288357853889
-         0.290909022093
-         0.293482780457
-         0.296079277992
-         0.298698782921
-         0.301341414452
-         0.304007440805
-         0.306697070599
-         0.309410482645
-         0.312147915363
-         0.314909547567
-         0.317695647478
-         0.320506364107
-         0.323341935873
-         0.326202601194
-         0.32908859849
-         0.332000136375
-         0.334937423468
-         0.337900668383
-         0.340890139341
-         0.343906074762
-         0.346948683262
-         0.350018233061
-         0.353114902973
-         0.356238991022
-         0.359390735626
-         0.362570345402
-         0.36577808857
-         0.369014203548
-         0.372278958559
-         0.37557259202
-         0.37889534235
-         0.382247507572
-         0.385629355907
-         0.389041095972
-         0.392483025789
-         0.395955443382
-         0.399458527565
-         0.402992606163
-         0.4065579772
-         0.410154879093
-         0.413783639669
-         0.417444437742
-         0.421137809753
-         0.424863725901
-         0.428622603416
-         0.432414680719
-         0.436240375042
-         0.440099865198
-         0.443993538618
-         0.447921663523
-         0.451884508133
-         0.455882430077
-         0.459915727377
-         0.463984698057
-         0.468089699745
-         0.47223097086
-         0.476408928633
-         0.480623811483
-         0.484875977039
-         0.489165812731
-         0.493493556976
-         0.497859597206
-         0.502264261246
-         0.506707906723
-         0.511190891266
-         0.515713512897
-         0.520276129246
-         0.524879097939
-         0.529522836208
-         0.534207642078
-         0.538933873177
-         0.543701946735
-         0.548512220383
-         0.553364992142
-         0.55826073885
-         0.563199818134
-         0.568182587624
-         0.573209404945
-         0.578280746937
-         0.583396852016
-         0.588558375835
-         0.593765437603
-         0.599018633366
-         0.604318261147
-         0.609664797783
-         0.615058660507
-         0.620500206947
-         0.62598991394
-         0.631528198719
-         0.637115418911
-         0.642752170563
-         0.648438751698
-         0.654175639153
-         0.659963190556
-         0.665802061558
-         0.671692609787
-         0.677635192871
-         0.683630406857
-         0.689678609371
-         0.695780336857
-         0.701936066151
-         0.70814627409
-         0.714411377907
-         0.720731914043
-         0.727108418941
-         0.733541250229
-         0.740031599998
-         0.746578812599
-         0.753183960915
-         0.759847521782
-         0.766570031643
-         0.773352146149
-         0.780194103718
-         0.787096619606
-         0.794060230255
-         0.801085472107
+         0.0401787683368
+         0.0402672663331
+         0.0403559803963
+         0.0404448695481
+         0.0405339710414
+         0.0406232662499
+         0.0407127477229
+         0.0408024378121
+         0.040892329067
+         0.0409823991358
+         0.0410726852715
+         0.0411631539464
+         0.0412538386881
+         0.0413447208703
+         0.0414357893169
+         0.0415270738304
+         0.0416185557842
+         0.0417102277279
+         0.0418021194637
+         0.041894197464
+         0.0419864878058
+         0.0420789830387
+         0.0421716719866
+         0.0422645770013
+         0.0423576869071
+         0.0424509868026
+         0.0425445064902
+         0.042638219893
+         0.0427321493626
+         0.0428262911737
+         0.0429206229746
+         0.0430151820183
+         0.0431099422276
+         0.0432048998773
+         0.0433000810444
+         0.0433954559267
+         0.0434910580516
+         0.0435868687928
+         0.0436828769743
+         0.0437791123986
+         0.0438755564392
+         0.0439722016454
+         0.044069070369
+         0.0441661439836
+         0.0442634411156
+         0.0443609543145
+         0.044458668679
+         0.0445566102862
+         0.0446547679603
+         0.0447531268001
+         0.0448517203331
+         0.0449505150318
+         0.0450495406985
+         0.0451487898827
+         0.0452482365072
+         0.045347917825
+         0.0454478189349
+         0.0455479286611
+         0.0456482693553
+         0.045748822391
+         0.0458496026695
+         0.0459506101906
+         0.046051826328
+         0.0461532771587
+         0.0462549552321
+         0.0463568419218
+         0.0464589633048
+         0.0465613007545
+         0.0466638728976
+         0.0467666760087
+         0.046869687736
+         0.0469729453325
+         0.0470764227211
+         0.0471801161766
+         0.0472840592265
+         0.0473882071674
+         0.0474926047027
+         0.047597233206
+         0.0477020740509
+         0.0478071644902
+         0.0479124821723
+         0.0480180196464
+         0.0481238029897
+         0.0482298061252
+         0.0483360514045
+         0.0484425425529
+         0.048549246043
+         0.0486561954021
+         0.0487633869052
+         0.0488707982004
+         0.0489784628153
+         0.0490863472223
+         0.0491944849491
+         0.0493028610945
+         0.049411457032
+         0.0495203137398
+         0.0496294088662
+         0.0497387237847
+         0.0498482994735
+         0.0499580986798
+         0.0500681586564
+         0.0501784570515
+         0.0502889864147
+         0.0503997728229
+         0.0505108051002
+         0.050622060895
+         0.0507335849106
+         0.050845336169
+         0.0509573481977
+         0.0510696098208
+         0.0511820986867
+         0.0512948520482
+         0.0514078587294
+         0.051521088928
+         0.0516345947981
+         0.0517483279109
+         0.0518623329699
+         0.0519765838981
+         0.0520910695195
+         0.0522058308125
+         0.0523208379745
+         0.0524360835552
+         0.0525516010821
+         0.0526673607528
+         0.0527833849192
+         0.0528996661305
+         0.0530161857605
+         0.0531329847872
+         0.0532500371337
+         0.053367331624
+         0.0534848980606
+         0.0536027103662
+         0.0537207983434
+         0.0538391396403
+         0.053957734257
+         0.0540766045451
+         0.0541957356036
+         0.0543151088059
+         0.0544347688556
+         0.0545546673238
+         0.0546748526394
+         0.0547953061759
+         0.0549160018563
+         0.0550369843841
+         0.0551582314074
+         0.0552797242999
+         0.0554015077651
+         0.0555235408247
+         0.0556458607316
+         0.0557684488595
+         0.055891290307
+         0.056014418602
+         0.0561378151178
+         0.056261472404
+         0.0563854165375
+         0.0565096139908
+         0.056634105742
+         0.0567588694394
+         0.0568838939071
+         0.0570092126727
+         0.0571348033845
+         0.0572606548667
+         0.0573867969215
+         0.0575132034719
+         0.0576399080455
+         0.0577668882906
+         0.0578941330314
+         0.05802167207
+         0.0581494942307
+         0.0582775808871
+         0.0584059655666
+         0.0585346184671
+         0.0586635656655
+         0.0587928071618
+         0.0589223094285
+         0.0590521097183
+         0.0591822043061
+         0.0593125633895
+         0.059443231672
+         0.0595741644502
+         0.0597054064274
+         0.0598369427025
+         0.059968739748
+         0.0601008534431
+         0.0602332614362
+         0.0603659339249
+         0.0604989156127
+         0.0606321804225
+         0.0607657544315
+         0.0608996227384
+         0.0610337667167
+         0.0611682198942
+         0.0613029748201
+         0.0614380054176
+         0.06157335639
+         0.0617089830339
+         0.0618449300528
+         0.0619811750948
+         0.0621176995337
+         0.0622545443475
+         0.0623916909099
+         0.0625291243196
+         0.0626668706536
+         0.0628049075603
+         0.062943264842
+         0.0630819350481
+         0.0632208809257
+         0.0633601546288
+         0.0634997487068
+         0.0636396110058
+         0.0637798085809
+         0.0639202967286
+         0.0640611127019
+         0.0642022415996
+         0.0643436610699
+         0.0644854083657
+         0.0646274760365
+         0.0647698268294
+         0.0649125128984
+         0.0650554969907
+         0.065198816359
+         0.0653424486518
+         0.0654863789678
+         0.0656306445599
+         0.0657752305269
+         0.0659201145172
+         0.0660653337836
+         0.0662108585238
+         0.0663567185402
+         0.0665028989315
+         0.0666493847966
+         0.066796220839
+         0.0669433772564
+         0.0670908242464
+         0.0672386288643
+         0.0673867315054
+         0.0675351843238
+         0.0676839724183
+         0.0678330585361
+         0.0679824948311
+         0.0681322589517
+         0.0682823359966
+         0.0684327632189
+         0.0685834959149
+         0.0687345862389
+         0.0688860043883
+         0.0690377429128
+         0.0691898316145
+         0.0693422630429
+         0.0694949999452
+         0.0696480944753
+         0.0698015093803
+         0.0699552893639
+         0.0701093971729
+         0.070263825357
+         0.0704186186194
+         0.0705737471581
+         0.0707292035222
+         0.0708850175142
+         0.0710411593318
+         0.0711976662278
+         0.0713545158505
+         0.0715116783977
+         0.0716692209244
+         0.0718271136284
+         0.0719853267074
+         0.0721439123154
+         0.0723028182983
+         0.0724621042609
+         0.0726217404008
+         0.0727817043662
+         0.0729420408607
+         0.073102734983
+         0.0732637569308
+         0.0734251588583
+         0.0735868886113
+         0.0737490057945
+         0.073911473155
+         0.0740742757916
+         0.0742374584079
+         0.0744010135531
+         0.0745648890734
+         0.0747291594744
+         0.0748937651515
+         0.0750587508082
+         0.075224108994
+         0.0753898099065
+         0.0755558907986
+         0.0757223442197
+         0.0758891329169
+         0.0760563164949
+         0.0762238427997
+         0.0763917639852
+         0.0765600576997
+         0.0767286941409
+         0.0768977329135
+         0.0770671367645
+         0.0772368907928
+         0.0774070471525
+         0.0775775536895
+         0.0777484551072
+         0.0779197365046
+         0.0780913680792
+         0.0782634019852
+         0.0784358233213
+         0.0786085873842
+         0.0787817686796
+         0.0789552927017
+         0.0791292339563
+         0.0793035551906
+         0.0794782415032
+         0.0796533301473
+         0.0798288062215
+         0.0800046473742
+         0.0801808983088
+         0.0803575068712
+         0.0805345326662
+         0.0807119607925
+         0.0808897390962
+         0.0810679420829
+         0.0812465324998
+         0.0814254954457
+         0.0816048756242
+         0.0817846283317
+         0.0819647982717
+         0.082145370543
+         0.0823263078928
+         0.0825076773763
+         0.0826894417405
+         0.0828715786338
+         0.0830541476607
+         0.0832370892167
+         0.0834204554558
+         0.0836042389274
+         0.083788394928
+         0.0839729756117
+         0.0841579660773
+         0.0843433439732
+         0.0845291540027
+         0.0847153440118
+         0.0849019736052
+         0.0850890129805
+         0.085276439786
+         0.0854642987251
+         0.0856525823474
+         0.0858412459493
+         0.0860303640366
+         0.0862198546529
+         0.0864097997546
+         0.0866001620889
+         0.0867909118533
+         0.0869821161032
+         0.0871737375855
+         0.0873657539487
+         0.0875582247972
+         0.087751083076
+         0.0879444032907
+         0.088138140738
+         0.0883322879672
+         0.0885268822312
+         0.0887219086289
+         0.088917337358
+         0.0891132205725
+         0.0893095135689
+         0.0895062536001
+         0.0897034406662
+         0.0899010300636
+         0.0900990813971
+         0.0902975797653
+         0.0904964730144
+         0.09069583565
+         0.0908956155181
+         0.0910958573222
+         0.0912965387106
+         0.0914976447821
+         0.091699205339
+         0.0919012203813
+         0.0921036526561
+         0.0923065543175
+         0.0925098732114
+         0.0927136838436
+         0.0929179266095
+         0.0931226015091
+         0.0933277457952
+         0.0935333520174
+         0.0937393754721
+         0.0939458906651
+         0.09415281564
+         0.0943602323532
+         0.094568118453
+         0.0947764143348
+         0.0949852094054
+         0.0951944664121
+         0.0954041481018
+         0.0956143289804
+         0.0958249345422
+         0.0960360392928
+         0.0962476059794
+         0.0964596122503
+         0.096672102809
+         0.0968850851059
+         0.0970984920859
+         0.0973123908043
+         0.0975267440081
+         0.0977415964007
+         0.0979569256306
+         0.0981726944447
+         0.0983889698982
+         0.0986057221889
+         0.0988229140639
+         0.0990406274796
+         0.09925878793
+         0.0994774475694
+         0.099696598947
+         0.0999161973596
+         0.100136317313
+         0.100356914103
+         0.100577972829
+         0.100799545646
+         0.101021572948
+         0.10124412179
+         0.101467169821
+         0.101690672338
+         0.101914696395
+         0.102139219642
+         0.102364197373
+         0.102589704096
+         0.102815687656
+         0.103042177856
+         0.103269189596
+         0.103496655822
+         0.10372466594
+         0.103953167796
+         0.104182139039
+         0.104411661625
+         0.104641646147
+         0.10487216711
+         0.105103202164
+         0.105334721506
+         0.105566769838
+         0.105799332261
+         0.106032371521
+         0.106265969574
+         0.106500044465
+         0.106734663248
+         0.106969796121
+         0.107205420732
+         0.107441596687
+         0.107678279281
+         0.107915468514
+         0.10815320909
+         0.108391441405
+         0.108630217612
+         0.108869537711
+         0.109109334648
+         0.109349705279
+         0.109590612352
+         0.109832003713
+         0.110073968768
+         0.110316425562
+         0.1105594486
+         0.11080301553
+         0.111047081649
+         0.111291721463
+         0.111536897719
+         0.111782580614
+         0.112028837204
+         0.112275600433
+         0.112522944808
+         0.112770833075
+         0.113019227982
+         0.113268211484
+         0.113517738879
+         0.113767787814
+         0.114018425345
+         0.114269562066
+         0.114521309733
+         0.114773593843
+         0.115026406944
+         0.115279816091
+         0.115533776581
+         0.115788266063
+         0.11604334414
+         0.116298943758
+         0.116555161774
+         0.116811931133
+         0.117069236934
+         0.117327131331
+         0.117585614324
+         0.117844618857
+         0.118104219437
+         0.11836437881
+         0.118625126779
+         0.118886463344
+         0.1191483289
+         0.119410812855
+         0.119673885405
+         0.119937479496
+         0.120201706886
+         0.120466478169
+         0.12073186785
+         0.120997831225
+         0.121264360845
+         0.121531508863
+         0.121799245477
+         0.122067533433
+         0.122336439788
+         0.122605912387
+         0.122876010835
+         0.12314671278
+         0.123417966068
+         0.123689860106
+         0.12396235019
+         0.124235399067
+         0.124509088695
+         0.124783344567
+         0.125058248639
+         0.125333741307
+         0.125609815121
+         0.125886529684
+         0.126163870096
+         0.126441761851
+         0.126720309258
+         0.12699945271
+         0.127279222012
+         0.127559617162
+         0.127840593457
+         0.128122225404
+         0.128404483199
+         0.12868732214
+         0.128970816731
+         0.12925490737
+         0.129539653659
+         0.129825025797
+         0.130110993981
+         0.130397632718
+         0.130684897304
+         0.130972757936
+         0.13126128912
+         0.13155041635
+         0.131840229034
+         0.132130667567
+         0.132421717048
+         0.13271343708
+         0.133005797863
+         0.133298769593
+         0.133592441678
+         0.133886694908
+         0.134181648493
+         0.134477257729
+         0.134773463011
+         0.135070368648
+         0.135367944837
+         0.135666117072
+         0.135964989662
+         0.1362644732
+         0.136564671993
+         0.136865526438
+         0.13716699183
+         0.137469172478
+         0.137772008777
+         0.138075485826
+         0.138379663229
+         0.138684481382
+         0.13898999989
+         0.139296188951
+         0.139603018761
+         0.139910578728
+         0.140218794346
+         0.140527650714
+         0.140837237239
+         0.141147449613
+         0.141458407044
+         0.141770035028
+         0.142082318664
+         0.142395332456
+         0.142709031701
+         0.143023356795
+         0.143338441849
+         0.143654167652
+         0.143970653415
+         0.144287824631
+         0.144605636597
+         0.144924208522
+         0.145243480802
+         0.145563408732
+         0.145884081721
+         0.146205410361
+         0.146527513862
+         0.146850317717
+         0.147173777223
+         0.147498011589
+         0.14782294631
+         0.148148551583
+         0.148474916816
+         0.148801967502
+         0.149129778147
+         0.149458318949
+         0.149787530303
+         0.150117501616
+         0.150448217988
+         0.150779619813
+         0.151111781597
+         0.151444628835
+         0.151778265834
+         0.15211263299
+         0.152447685599
+         0.15278352797
+         0.153120115399
+         0.153457388282
+         0.153795465827
+         0.154134213924
+         0.154473781586
+         0.154814094305
+         0.155155107379
+         0.155496910214
+         0.155839473009
+         0.156182736158
+         0.15652680397
+         0.156871587038
+         0.157217174768
+         0.157563537359
+         0.157910585403
+         0.158258467913
+         0.158607110381
+         0.158956483006
+         0.159306660295
+         0.159657567739
+         0.160009294748
+         0.160361796618
+         0.160715013742
+         0.161069065332
+         0.161423921585
+         0.161779478192
+         0.162135884166
+         0.162493020296
+         0.162850990891
+         0.163209751248
+         0.163569256663
+         0.163929596543
+         0.164290741086
+         0.164652615786
+         0.165015354753
+         0.165378823876
+         0.165743157268
+         0.166108295321
+         0.166474178433
+         0.166840910912
+         0.167208477855
+         0.167576789856
+         0.167945951223
+         0.168315887451
+         0.168686687946
+         0.169058308005
+         0.169430688024
+         0.16980394721
+         0.170178025961
+         0.170552879572
+         0.17092859745
+         0.17130510509
+         0.171682491899
+         0.172060728073
+         0.172439709306
+         0.172819599509
+         0.173200324178
+         0.173581823707
+         0.173964232206
+         0.174347430468
+         0.174731507897
+         0.175116449594
+         0.175502166152
+         0.175888806581
+         0.176276281476
+         0.176664575934
+         0.177053764462
+         0.177443757653
+         0.177834674716
+         0.178226441145
+         0.178619027138
+         0.1790125072
+         0.179406881332
+         0.179802060127
+         0.1801982373
+         0.180595159531
+         0.180993005633
+         0.1813916713
+         0.18179127574
+         0.182191774249
+         0.182593077421
+         0.182995319366
+         0.183398470283
+         0.183802440763
+         0.184207364917
+         0.18461316824
+         0.185019820929
+         0.185427427292
+         0.185835853219
+         0.186245262623
+         0.186655551195
+         0.187066704035
+         0.18747882545
+         0.18789178133
+         0.188305690885
+         0.188720539212
+         0.189136236906
+         0.189552903175
+         0.189970493317
+         0.190388932824
+         0.190808370709
+         0.191228717566
+         0.191649928689
+         0.19207213819
+         0.192495211959
+         0.192919284105
+         0.193344280124
+         0.193770170212
+         0.194197043777
+         0.194624781609
+         0.195053547621
+         0.195483267307
+         0.195913851261
+         0.196345448494
+         0.196777999401
+         0.197211444378
+         0.197645902634
+         0.198081314564
+         0.198517635465
+         0.198954969645
+         0.199393197894
+         0.199832469225
+         0.20027269423
+         0.200713828206
+         0.201156005263
+         0.201599091291
+         0.202043220401
+         0.202488332987
+         0.202934339643
+         0.203381404281
+         0.203829467297
+         0.204278439283
+         0.204728454351
+         0.2051794976
+         0.205631434917
+         0.206084430218
+         0.206538379192
+         0.206993371248
+         0.207449391484
+         0.207906335592
+         0.208364352584
+         0.20882332325
+         0.209283351898
+         0.209744423628
+         0.210206404328
+         0.210669502616
+         0.211133614182
+         0.211598664522
+         0.212064832449
+         0.212532013655
+         0.213000148535
+         0.213469386101
+         0.213939592242
+         0.21441090107
+         0.214883252978
+         0.215356558561
+         0.215831011534
+         0.21630641818
+         0.216782942414
+         0.217260524631
+         0.217739075422
+         0.218218758702
+         0.218699499965
+         0.219181224704
+         0.219664081931
+         0.220147997141
+         0.22063292563
+         0.221118986607
+         0.22160603106
+         0.222094237804
+         0.222583517432
+         0.223073795438
+         0.223565220833
+         0.224057674408
+         0.224551260471
+         0.225045964122
+         0.22554166615
+         0.22603854537
+         0.226536512375
+         0.227035477757
+         0.227535665035
+         0.228036910295
+         0.228539213538
+         0.229042679071
+         0.229547187686
+         0.230052888393
+         0.230559691787
+         0.231067553163
+         0.23157659173
+         0.23208668828
+         0.232597976923
+         0.233110383153
+         0.233623862267
+         0.234138533473
+         0.234654352069
+         0.235171228647
+         0.235689297318
+         0.23620852828
+         0.236728817225
+         0.237250342965
+         0.237772926688
+         0.238296747208
+         0.238821715117
+         0.23934777081
+         0.239875048399
+         0.240403413773
+         0.240933045745
+         0.241463810205
+         0.241995662451
+         0.242528796196
+         0.243063092232
+         0.243598490953
+         0.244135126472
+         0.244672954082
+         0.245211899281
+         0.245752111077
+         0.24629342556
+         0.246836006641
+         0.247379809618
+         0.247924700379
+         0.248470887542
+         0.24901817739
+         0.249566763639
+         0.250116556883
+         0.250667482615
+         0.251219719648
+         0.251773148775
+         0.252327740192
+         0.25288361311
+         0.253440707922
+         0.253998994827
+         0.25455853343
+         0.255119234324
+         0.255681276321
+         0.256244540215
+         0.256808966398
+         0.257374733686
+         0.257941633463
+         0.258509904146
+         0.259079396725
+         0.259650051594
+         0.26022207737
+         0.260795354843
+         0.261369794607
+         0.261945605278
+         0.262522667646
+         0.263100922108
+         0.263680547476
+         0.264261335135
+         0.264843523502
+         0.265426963568
+         0.266011595726
+         0.266597628593
+         0.267184883356
+         0.267773509026
+         0.268363386393
+         0.268954515457
+         0.269547015429
+         0.270140826702
+         0.270735889673
+         0.271332323551
+         0.271930068731
+         0.272529035807
+         0.273129433393
+         0.273731052876
+         0.274334073067
+         0.274938434362
+         0.275544017553
+         0.276151061058
+         0.276759326458
+         0.277369052172
+         0.277980089188
+         0.278592377901
+         0.279206156731
+         0.27982121706
+         0.280437588692
+         0.281055390835
+         0.281674563885
+         0.282294988632
+         0.282916903496
+         0.283540070057
+         0.284164726734
+         0.284790754318
+         0.285418063402
+         0.2860468328
+         0.286676883698
+         0.287308454514
+         0.287941396236
+         0.288575649261
+         0.2892113626
+         0.289848506451
+         0.290486961603
+         0.291126906872
+         0.29176825285
+         0.292410939932
+         0.29305511713
+         0.293700635433
+         0.294347643852
+         0.294996082783
+         0.29564589262
+         0.296297192574
+         0.296949833632
+         0.297604054213
+         0.2982596457
+         0.298916637897
+         0.299575150013
+         0.300235122442
+         0.300896435976
+         0.301559299231
+         0.302223652601
+         0.302889376879
+         0.303556621075
+         0.30422526598
+         0.304895490408
+         0.30556717515
+         0.306240230799
+         0.306914895773
+         0.307590931654
+         0.308268547058
+         0.308947682381
+         0.30962818861
+         0.310310304165
+         0.310993939638
+         0.311678946018
+         0.312365561724
+         0.31305372715
+         0.313743293285
+         0.314434438944
+         0.315127074718
+         0.315821290016
+         0.316517055035
+         0.317214220762
+         0.31791305542
+         0.318613320589
+         0.319315224886
+         0.320018678904
+         0.320723593235
+         0.321430146694
+         0.322138249874
+         0.32284784317
+         0.323559075594
+         0.324271887541
+         0.324986129999
+         0.325702100992
+         0.326419502497
+         0.327138632536
+         0.327859282494
+         0.328581482172
+         0.32930535078
+         0.330030709505
+         0.330757766962
+         0.331486433744
+         0.332216590643
+         0.332948446274
+         0.333681970835
+         0.334416955709
+         0.335153669119
+         0.335892021656
+         0.336631864309
+         0.337373495102
+         0.338116616011
+         0.338861495256
+         0.33960801363
+         0.340356051922
+         0.341105878353
+         0.341857194901
+         0.34261032939
+         0.343365103006
+         0.344121456146
+         0.344879537821
+         0.345639318228
+         0.346400648355
+         0.347163766623
+         0.347928583622
+         0.348694950342
+         0.349463135004
+         0.350232899189
+         0.351004451513
+         0.351777732372
+         0.352552562952
+         0.353329241276
+         0.354107528925
+         0.354887634516
+         0.355669438839
+         0.35645288229
+         0.357238143682
+         0.358025163412
+         0.358813762665
+         0.359604239464
+         0.3603964746
+         0.361190319061
+         0.361986011267
+         0.3627833426
+         0.363582551479
+         0.364383548498
+         0.365186154842
+         0.365990638733
+         0.366796821356
+         0.367604881525
+         0.368414729834
+         0.36922621727
+         0.370039641857
+         0.370854854584
+         0.371671706438
+         0.372490525246
+         0.37331110239
+         0.37413340807
+         0.3749576509
+         0.37578356266
+         0.376611381769
+         0.377441078424
+         0.378272473812
+         0.379105806351
+         0.379940837622
+         0.380777865648
+         0.381616741419
+         0.382457315922
+         0.383299857378
+         0.384144276381
+         0.384990423918
+         0.385838568211
+         0.386688560247
+         0.387540340424
+         0.388394087553
+         0.389249563217
+         0.390107095242
+         0.390966534615
+         0.391827702522
+         0.392690896988
+         0.393555879593
+         0.394422888756
+         0.395291805267
+         0.396162509918
+         0.397035270929
+         0.397909939289
+         0.398786395788
+         0.39966493845
+         0.40054538846
+         0.401427656412
+         0.402312010527
+         0.403198182583
+         0.404086440802
+         0.404976665974
+         0.405868679285
+         0.406762808561
+         0.407658785582
+         0.408556878567
+         0.409456908703
+         0.410358816385
+         0.411262869835
+         0.412168860435
+         0.413076758385
+         0.413986742496
+         0.414898782969
+         0.415812671185
+         0.416728705168
+         0.4176466465
+         0.418566703796
+         0.419488847256
+         0.420412808657
+         0.421339005232
+         0.422267079353
+         0.423197329044
+         0.424129664898
+         0.425063878298
+         0.42600029707
+         0.426938772202
+         0.427879184484
+         0.428821802139
+         0.429766505957
+         0.430713117123
+         0.431662023067
+         0.432612836361
+         0.433565884829
+         0.434521049261
+         0.435478150845
+         0.436437517405
+         0.437398821115
+         0.438362449408
+         0.439328163862
+         0.440295875072
+         0.441265851259
+         0.442237973213
+         0.44321206212
+         0.444188475609
+         0.445167034864
+         0.446147590876
+         0.447130441666
+         0.448115348816
+         0.449102520943
+         0.450091928244
+         0.4510833323
+         0.45207709074
+         0.453072845936
+         0.454070955515
+         0.45507133007
+         0.456073701382
+         0.457078427076
+         0.458085358143
+         0.459094375372
+         0.460105776787
+         0.461119383574
+         0.462135106325
+         0.46315318346
+         0.46417337656
+         0.465195953846
+         0.466220766306
+         0.467247724533
+         0.468277066946
+         0.469308525324
+         0.470342457294
+         0.471378594637
+         0.472416877747
+         0.473457634449
+         0.47450068593
+         0.475545853376
+         0.476593494415
+         0.477643430233
+         0.47869554162
+         0.479750096798
+         0.480806827545
+         0.48186609149
+         0.482927620411
+         0.483991324902
+         0.485057592392
+         0.486126035452
+         0.487196981907
+         0.488270252943
+         0.489345759153
+         0.490423798561
+         0.491504222155
+         0.49258685112
+         0.493672013283
+         0.494759619236
+         0.495849400759
+         0.496941775084
+         0.49803635478
+         0.499133527279
+         0.500233113766
+         0.501334965229
+         0.502439439297
+         0.503546118736
+         0.504655480385
+         0.505767226219
+         0.50688123703
+         0.507997989655
+         0.509116888046
+         0.510238468647
+         0.511362552643
+         0.512489080429
+         0.51361811161
+         0.514749288559
+         0.515883266926
+         0.517019808292
+         0.518158793449
+         0.519300282001
+         0.520443975925
+         0.521590530872
+         0.522739589214
+         0.523891210556
+         0.525045335293
+         0.526201665401
+         0.527360916138
+         0.528522670269
+         0.529687047005
+         0.530853927135
+         0.532023429871
+         0.533195078373
+         0.534369766712
+         0.535547018051
+         0.536726772785
+         0.537909209728
+         0.539093852043
+         0.54028147459
+         0.541471779346
+         0.542664647102
+         0.543860137463
+         0.545058250427
+         0.546258687973
+         0.547462105751
+         0.548668146133
+         0.549876868725
+         0.551088273525
+         0.552301943302
+         0.553518652916
+         0.554738104343
+         0.555960178375
+         0.557184934616
+         0.558412075043
+         0.559642314911
+         0.560875177383
+         0.56211078167
+         0.563349127769
+         0.56458979845
+         0.565833628178
+         0.567080140114
+         0.568329453468
+         0.569581508636
+         0.570836305618
+         0.572093427181
+         0.573353767395
+         0.574616909027
+         0.575882792473
+         0.577151477337
+         0.578422546387
+         0.579696834087
+         0.580973923206
+         0.582253813744
+         0.583536505699
+         0.584822058678
+         0.586110055447
+         0.587401270866
+         0.588695287704
+         0.589992165565
+         0.591291964054
+         0.592594206333
+         0.593899667263
+         0.595208108425
+         0.596519291401
+         0.597833454609
+         0.599150121212
+         0.600470006466
+         0.601792871952
+         0.603118598461
+         0.604447305202
+         0.605778515339
+         0.607113063335
+         0.60845053196
+         0.609790980816
+         0.6111343503
+         0.612480700016
+         0.613829553127
+         0.615181863308
+         0.616537094116
+         0.617895364761
+         0.619256615639
+         0.620620429516
+         0.621987640858
+         0.623357892036
+         0.624731123447
+         0.6261074543
+         0.627486765385
+         0.628868699074
+         0.630254149437
+         0.631642580032
+         0.633034110069
+         0.634428679943
+         0.635825932026
+         0.637226641178
+         0.638630449772
+         0.640037357807
+         0.641447365284
+         0.64286005497
+         0.64427626133
+         0.64569568634
+         0.647118151188
+         0.648543775082
+         0.649972081184
+         0.651403963566
+         0.652839004993
+         0.654277265072
+         0.655718564987
+         0.657163143158
+         0.658610463142
+         0.66006141901
+         0.661515533924
+         0.662972867489
+         0.664433419704
+         0.665896713734
+         0.667363643646
+         0.668833911419
+         0.670307338238
+         0.671784043312
+         0.673264026642
+         0.674746751785
+         0.676233232021
+         0.677722990513
+         0.67921602726
+         0.680712342262
+         0.682211518288
+         0.683714389801
+         0.685220658779
+         0.686730206013
+         0.688243091106
+         0.689758837223
+         0.691278398037
+         0.692801296711
+         0.694327533245
+         0.695857167244
+         0.69738972187
+         0.69892603159
+         0.700465798378
+         0.702008903027
+         0.703555464745
+         0.705105423927
+         0.706658303738
+         0.70821505785
+         0.709775269032
+         0.711338877678
+         0.712906002998
+         0.714476108551
+         0.716050028801
+         0.71762752533
+         0.719208478928
+         0.7207929492
+         0.722380816936
+         0.723971784115
+         0.7255666852
+         0.727165102959
+         0.728767096996
+         0.730372607708
+         0.731981158257
+         0.733593642712
+         0.73520976305
+         0.736829459667
+         0.738452672958
+         0.740078985691
+         0.741709470749
+         0.743343412876
+         0.744981050491
+         0.746622204781
+         0.748266577721
+         0.749915003777
+         0.75156712532
+         0.753222763538
+         0.754882156849
+         0.756545186043
+         0.758211314678
+         0.759881675243
+         0.761555731297
+         0.763233482838
+         0.764914870262
+         0.766599476337
+         0.768288314342
+         0.769980847836
+         0.771677136421
+         0.773377120495
+         0.775080919266
+         0.776787936687
+         0.778499126434
+         0.780214190483
+         0.781933069229
+         0.783655703068
+         0.785381555557
+         0.787111759186
+         0.788845777512
+         0.790583610535
+         0.792325258255
+         0.79407030344
+         0.795819580555
+         0.797572791576
+         0.7993298769
+         0.80109077692
+         0.802855074406
+         0.804623782635
+         0.806396365166
          0.808172881603
-         0.815322995186
-         0.822536289692
-         0.829813420773
-         0.837154984474
-         0.844561457634
-         0.852033555508
-         0.859571635723
-         0.867176473141
-         0.874848544598
-         0.88258856535
-         0.890397012234
-         0.898274600506
-         0.906221807003
-         0.914239346981
-         0.922327756882
-         0.93048787117
-         0.938720047474
-         0.947025120258
-         0.95540368557
-         0.963856339455
-         0.972383797169
-         0.980986714363
-         0.989665746689
-         0.998421490192
-         1.00725471973
-         1.01616609097
-         1.02515637875
-         1.03422617912
-         1.04337620735
-         1.05260717869
-         1.06191980839
-         1.07131493092
-         1.08079302311
-         1.09035503864
-         1.10000169277
-         1.10973358154
-         1.11955165863
-         1.12945663929
-         1.13944911957
-         1.14953017235
-         1.15970027447
-         1.1699603796
-         1.18031132221
-         1.19075369835
-         1.20128858089
-         1.2119166851
-         1.22263884544
-         1.23345565796
-         1.24436843395
-         1.25537765026
-         1.26648426056
-         1.27768909931
-         1.28899300098
-         1.30039787292
-         1.31190276146
-         1.32350957394
-         1.3352189064
-         1.34703183174
-         1.35894930363
-         1.37097227573
-         1.38310158253
-         1.39533817768
-         1.40768313408
-         1.42013716698
-         1.43270146847
-         1.44537687302
-         1.45816445351
-         1.4710650444
-         1.48407995701
-         1.49721002579
-         1.51045608521
-         1.52381944656
-         1.53730094433
-         1.5509018898
-         1.56462299824
-         1.57846558094
-         1.59243059158
-         1.60651910305
-         1.62073242664
-         1.63507139683
-         1.6495372057
-         1.66413116455
-         1.67885398865
-         1.69370722771
-         1.7086918354
-         1.72380900383
-         1.73905992508
-         1.75444579124
-         1.76996779442
-         1.78562700748
-         1.80142486095
-         1.81736242771
-         1.83344113827
-         1.84966182709
-         1.8660261631
-         1.8825353384
-         1.89919066429
-         1.91599321365
-         1.932944417
-         1.95004546642
-         1.96729803085
-         1.98470306396
-         2.0022623539
-         2.01997685432
-         2.03784799576
-         2.05587720871
-         2.07406616211
-         2.09241580963
-         2.11092782021
-         2.12960362434
-         2.14844465256
-         2.16745233536
-         2.18662834167
-         2.2059738636
-         2.22549080849
-         2.24518013
-         2.2650437355
-         2.28508448601
-         2.30530142784
-         2.32569670677
-         2.34627270699
-         2.36703085899
-         2.38797235489
-         2.40909934044
-         2.43041300774
-         2.45191550255
-         2.47360801697
-         2.49549269676
-         2.51757097244
-         2.53984427452
-         2.56231498718
-         2.58498430252
-         2.60785412788
-         2.63092637062
-         2.65420293808
-         2.67768526077
-         2.70137524605
-         2.72527480125
-         2.74938607216
-         2.77371048927
-         2.79825019836
-         2.82300686836
-         2.84798240662
-         2.87317943573
-         2.89859890938
-         2.92424345016
-         2.95011496544
-         2.97621536255
-         3.00254654884
-         3.02911067009
-         3.05590987206
-         3.08294606209
-         3.11022162437
-         3.13773870468
-         3.16549873352
-         3.19350457191
-         3.22175836563
-         3.25026202202
-         3.27901768684
-         3.30802774429
-         3.33729481697
-         3.36682057381
-         3.39660739899
-         3.42665815353
-         3.45697450638
-         3.48755908012
-         3.51841425896
-         3.54954242706
-         3.58094596863
-         3.61262750626
-         3.64458918571
-         3.67683362961
-         3.70936346054
-         3.7421810627
-         3.77528905869
-         3.80868959427
-         3.84238600731
-         3.87638044357
-         3.91067576408
-         3.94527435303
-         3.98017907143
-         4.01539230347
-         4.05091762543
-         4.08675718307
-         4.1229133606
-         4.15938949585
-         4.1961889267
-         4.23331308365
-         4.27076625824
-         4.30855083466
-         4.34666967392
-         4.38512563705
-         4.42392158508
-         4.46306085587
-         4.50254678726
-         4.54238176346
-         4.58256912231
-         4.62311220169
-         4.66401386261
-         4.70527744293
-         4.74690628052
-         4.78890323639
-         4.83127164841
-         4.87401485443
-         4.91713619232
-         4.96063947678
-         5.00452709198
-         5.04880332947
-         5.0934715271
-         5.13853406906
-         5.18399572372
-         5.22986030579
-         5.2761297226
-         5.32280874252
-         5.36990070343
-         5.41740989685
-         5.46533870697
-         5.51369142532
-         5.56247234344
-         5.61168479919
-         5.66133260727
-         5.71141958237
-         5.76195049286
-         5.81292772293
-         5.86435508728
-         5.91623878479
-         5.96858119965
-         6.02138614655
-         6.0746588707
-         6.12840270996
-         6.18262243271
-         6.2373213768
-         6.29250431061
-         6.34817552567
-         6.40433883667
-         6.46099948883
-         6.51816129684
-         6.57582902908
-         6.63400650024
-         6.69269990921
-         6.75191116333
-         6.81164646149
-         6.87191057205
-         6.9327082634
-         6.99404382706
-         7.05592632294
-         7.1183514595
-         7.18132925034
-         7.24486351013
-         7.30896043777
-         7.37362480164
-         7.43886089325
-         7.50467395782
-         7.57106971741
-         7.63805246353
-         7.70562839508
-         7.77380132675
-         7.8425784111
-         7.91196298599
-         7.98196172714
-         8.05257987976
-         8.12382316589
-         8.19569587708
-         8.26820468903
-         8.34135627747
-         8.41515445709
-         8.48960399628
-         8.56471347809
-         8.6404876709
-         8.71693229675
-         8.7940530777
-         8.87185573578
-         8.95034694672
-         9.02953338623
-         9.10941886902
-         9.19001197815
-         9.27131843567
-         9.35334300995
-         9.43609428406
-         9.51957702637
-         9.60379981995
-         9.68876647949
-         9.7744846344
-         9.86096286774
-         9.94820404053
-         10.0362186432
-         10.1250104904
-         10.214589119
-         10.3049602509
-         10.3961296082
-         10.4881067276
-         10.5808973312
-         10.6745090485
-         10.768948555
-         10.8642244339
-         10.9603424072
-         11.057311058
-         11.1551380157
-         11.2538290024
-         11.3533945084
-         11.4538402557
-         11.5551748276
-         11.6574068069
-         11.7605419159
-         11.8645896912
-         11.9695587158
-         12.0754556656
-         12.1822910309
-         12.2900695801
-         12.3988103867
-         12.5085067749
-         12.6191720963
-         12.7308158875
-         12.8434476852
-         12.9570770264
-         13.0717105865
-         13.1873598099
-         13.3040304184
-         13.4217357635
-         13.54047966
-         13.660276413
-         13.7811307907
-         13.9030561447
-         14.0260591507
-         14.1501512527
-         14.2753400803
-         14.4016370773
-         14.5290517807
-         14.6575927734
-         14.7872724533
-         14.9180984497
-         15.0500822067
-         15.1832342148
-         15.3175640106
-         15.453081131
-         15.5897979736
-         15.7277240753
-         15.8668708801
-         16.0072479248
-         16.1488685608
+         0.809953331947
+         0.811737656593
+         0.813525378704
+         0.815317571163
+         0.817113757133
+         0.818913817406
+         0.820717990398
+         0.822525501251
+         0.824337422848
+         0.826153516769
+         0.827973484993
+         0.829797565937
+         0.831625580788
+         0.833457112312
+         0.835293292999
+         0.837133407593
+         0.838977694511
+         0.840825974941
+         0.842677772045
+         0.844534158707
+         0.846394658089
+         0.848259329796
+         0.850128054619
+         0.852000355721
+         0.853877305984
+         0.855758368969
+         0.857643604279
+         0.859533011913
+         0.861425995827
+         0.863323748112
+         0.865225672722
+         0.867131769657
+         0.869042098522
+         0.870956540108
+         0.872874677181
+         0.874797642231
+         0.876724898815
+         0.878656327724
+         0.880591988564
+         0.882531404495
+         0.884475588799
+         0.886424124241
+         0.888376951218
+         0.890334069729
+         0.89229542017
+         0.894260644913
+         0.896230697632
+         0.898205041885
+         0.900183856487
+         0.902167022228
+         0.904153823853
+         0.906145691872
+         0.90814191103
+         0.910142660141
+         0.912147641182
+         0.914156496525
+         0.916170477867
+         0.918188750744
+         0.920211553574
+         0.922238767147
+         0.924269855022
+         0.926306128502
+         0.92834675312
+         0.930391907692
+         0.932441532612
+         0.934495747089
+         0.936553895473
+         0.938617050648
+         0.940684914589
+         0.942757189274
+         0.944834113121
+         0.946915030479
+         0.949001014233
+         0.951091706753
+         0.953186988831
+         0.955286860466
+         0.957391321659
+         0.959499835968
+         0.96161365509
+         0.96373218298
+         0.965855240822
+         0.967983007431
+         0.970114886761
+         0.972252070904
+         0.974393963814
+         0.976540505886
+         0.97869181633
+         0.980847299099
+         0.983008086681
+         0.98517370224
+         0.987344026566
+         0.989519238472
+         0.99169844389
+         0.993883192539
+         0.99607270956
+         0.998267054558
+         1.00046622753
+         1.00267028809
+         1.00487852097
+         1.00709223747
+         1.00931096077
+         1.01153445244
+         1.01376283169
+         1.01599562168
+         1.01823377609
+         1.02047693729
+         1.02272510529
+         1.02497816086
+         1.02723622322
+         1.02949857712
+         1.03176653385
+         1.03403961658
+         1.0363175869
+         1.038600564
+         1.04088795185
+         1.04318106174
+         1.04547917843
+         1.04778242111
+         1.05009067059
+         1.0524033308
+         1.05472183228
+         1.05704534054
+         1.05937409401
+         1.06170785427
+         1.06404614449
+         1.06639015675
+         1.06873953342
+         1.0710940361
+         1.07345354557
+         1.07581841946
+         1.07818770409
+         1.08056294918
+         1.08294355869
+         1.0853292942
+         1.08772027493
+         1.0901157856
+         1.09251737595
+         1.0949242115
+         1.09733629227
+         1.09975373745
+         1.10217654705
+         1.1046038866
+         1.10703730583
+         1.10947620869
+         1.11192035675
+         1.11436986923
+         1.11682415009
+         1.11928462982
+         1.12175035477
+         1.12422156334
+         1.12669825554
+         1.1291795969
+         1.13166725636
+         1.13416028023
+         1.13665890694
+         1.13916301727
+         1.14167177677
+         1.14418685436
+         1.14670753479
+         1.14923381805
+         1.15176558495
+         1.15430295467
+         1.15684509277
+         1.15939366817
+         1.16194784641
+         1.16450762749
+         1.1670730114
+         1.16964328289
+         1.17222011089
+         1.17480254173
+         1.17739057541
+         1.17998433113
+         1.18258392811
+         1.18518841267
+         1.18779933453
+         1.19041621685
+         1.1930385828
+         1.19566690922
+         1.19830024242
+         1.20094001293
+         1.2035857439
+         1.20623719692
+         1.2088946104
+         1.21155703068
+         1.21422612667
+         1.21690106392
+         1.21958196163
+         1.2222687006
+         1.22496056557
+         1.22765910625
+         1.23036372662
+         1.23307418823
+         1.23579072952
+         1.23851323128
+         1.24124085903
+         1.24397528172
+         1.24671578407
+         1.24946224689
+         1.2522149086
+         1.2549726963
+         1.25773739815
+         1.26050829887
+         1.26328516006
+         1.26606822014
+         1.26885735989
+         1.27165186405
+         1.27445328236
+         1.27726089954
+         1.28007471561
+         1.28289473057
+         1.28572010994
+         1.28855252266
+         1.29139137268
+         1.29423630238
+         1.29708755016
+         1.29994416237
+         1.30280792713
+         1.30567800999
+         1.30855453014
+         1.31143712997
+         1.31432545185
+         1.31722092628
+         1.32012283802
+         1.32303106785
+         1.32594573498
+         1.32886683941
+         1.33179342747
+         1.33472728729
+         1.33766782284
+         1.34061467648
+         1.34356808662
+         1.34652709961
+         1.34949350357
+         1.35246646404
+         1.35544598103
+         1.35843205452
+         1.36142468452
+         1.36442303658
+         1.3674287796
+         1.37044131756
+         1.37346041203
+         1.37648618221
+         1.37951767445
+         1.38255679607
+         1.38560259342
+         1.38865506649
+         1.39171433449
+         1.39477944374
+         1.39785206318
+         1.40093159676
+         1.40401780605
+         1.40711092949
+         1.41020989418
+         1.41331660748
+         1.4164301157
+         1.41955053806
+         1.42267775536
+         1.425812006
+         1.4289522171
+         1.4321000576
+         1.43525505066
+         1.43841695786
+         1.4415858984
+         1.44476079941
+         1.44794356823
+         1.4511333704
+         1.45433020592
+         1.45753419399
+         1.46074521542
+         1.46396231651
+         1.46718728542
+         1.4704195261
+         1.47365891933
+         1.47690534592
+         1.48015797138
+         1.4834189415
+         1.48668682575
+         1.48996210098
+         1.49324440956
+         1.49653315544
+         1.49983000755
+         1.50313425064
+         1.50644552708
+         1.5097643137
+         1.5130892992
+         1.51642262936
+         1.51976335049
+         1.52311146259
+         1.52646696568
+         1.52982974052
+         1.53319895267
+         1.53657662868
+         1.53996169567
+         1.54335427284
+         1.54675424099
+         1.55016088486
+         1.55357587337
+         1.55699825287
+         1.56042838097
+         1.56386613846
+         1.56731140614
+         1.57076311111
+         1.57422351837
+         1.57769155502
+         1.58116722107
+         1.58465051651
+         1.58814060688
+         1.59163916111
+         1.59514558315
+         1.5986597538
+         1.60218155384
+         1.60571014881
+         1.60924756527
+         1.61279273033
+         1.61634576321
+         1.61990666389
+         1.62347412109
+         1.62705075741
+         1.63063514233
+         1.63422751427
+         1.63782763481
+         1.6414359808
+         1.6450510025
+         1.6486748457
+         1.65230703354
+         1.65594696999
+         1.65959513187
+         1.6632502079
+         1.66691422462
+         1.670586586
+         1.67426681519
+         1.67795538902
+         1.68165194988
+         1.68535554409
+         1.68906831741
+         1.69278931618
+         1.69651865959
+         1.70025610924
+         1.70400071144
+         1.70775461197
+         1.71151673794
+         1.71528720856
+         1.71906602383
+         1.72285199165
+         1.72664749622
+         1.73045134544
+         1.73426353931
+         1.73808419704
+         1.74191212654
+         1.74574935436
+         1.74959528446
+         1.75344979763
+         1.75731265545
+         1.76118397713
+         1.76506280899
+         1.7689511776
+         1.77284824848
+         1.77675390244
+         1.78066813946
+         1.78458964825
+         1.78852128983
+         1.79246139526
+         1.79641008377
+         1.80036771297
+         1.80433404446
+         1.80830764771
+         1.81229138374
+         1.81628382206
+         1.82028532028
+         1.82429528236
+         1.82831299305
+         1.83234095573
+         1.83637750149
+         1.84042310715
+         1.84447753429
+         1.84853971004
+         1.852612257
+         1.85669350624
+         1.86078381538
+         1.86488306522
+         1.86899030209
+         1.87310779095
+         1.8772341013
+         1.88136982918
+         1.88551437855
+         1.88966822624
+         1.89383006096
+         1.89800202847
+         1.90218341351
+         1.90637397766
+         1.91057372093
+         1.91478145123
+         1.91899967194
+         1.92322731018
+         1.92746436596
+         1.93171048164
+         1.93596601486
+         1.94022977352
+         1.94450414181
+         1.94878792763
+         1.95308101177
+         1.95738363266
+         1.9616945982
+         1.96601617336
+         1.97034740448
+         1.97468805313
+         1.97903847694
+         1.98339688778
+         1.98776638508
+         1.99214541912
+         1.99653410912
+         2.00093245506
+         2.00533938408
+         2.00975704193
+         2.01418447495
+         2.01862192154
+         2.02306890488
+         2.02752566338
+         2.03199124336
+         2.03646755219
+         2.04095387459
+         2.04545021057
+         2.04995632172
+         2.05447101593
+         2.05899715424
+         2.0635330677
+         2.06807923317
+         2.0726351738
+         2.07720112801
+         2.0817759037
+         2.08636212349
+         2.09095835686
+         2.09556484222
+         2.10018134117
+         2.10480666161
+         2.10944366455
+         2.11409068108
+         2.11874818802
+         2.12341570854
+         2.12809228897
+         2.13278031349
+         2.13747906685
+         2.1421880722
+         2.14690709114
+         2.1516354084
+         2.15637540817
+         2.16112589836
+         2.16588711739
+         2.17065858841
+         2.17544054985
+         2.1802315712
+         2.18503475189
+         2.189848423
+         2.19467258453
+         2.1995074749
+         2.20435166359
+         2.20920777321
+         2.21407461166
+         2.21895241737
+         2.2238407135
+         2.22873973846
+         2.23364830017
+         2.23856925964
+         2.24350070953
+         2.24844312668
+         2.25339651108
+         2.2583591938
+         2.26333451271
+         2.26832056046
+         2.27331781387
+         2.27832603455
+         2.28334355354
+         2.28837370872
+         2.29341506958
+         2.29846763611
+         2.30353116989
+         2.30860447884
+         2.31369018555
+         2.31878733635
+         2.32389569283
+         2.32901525497
+         2.3341460228
+         2.33928656578
+         2.34444022179
+         2.34960508347
+         2.35478115082
+         2.35996866226
+         2.3651664257
+         2.37037682533
+         2.37559866905
+         2.3808324337
+         2.3860771656
+         2.39133381844
+         2.39660048485
+         2.40188002586
+         2.40717148781
+         2.41247439384
+         2.41778922081
+         2.42311406136
+         2.42845225334
+         2.43380212784
+         2.43916392326
+         2.4445374012
+         2.44992113113
+         2.45531821251
+         2.46072745323
+         2.46614837646
+         2.47158145905
+         2.47702455521
+         2.48248171806
+         2.48795056343
+         2.49343156815
+         2.49892449379
+         2.5044298172
+         2.50994539261
+         2.5154747963
+         2.52101659775
+         2.52657032013
+         2.53213644028
+         2.53771305084
+         2.5433037281
+         2.54890656471
+         2.55452179909
+         2.56014943123
+         2.56578946114
+         2.57144021988
+         2.57710504532
+         2.58278274536
+         2.58847260475
+         2.59417510033
+         2.59988832474
+         2.60561585426
+         2.61135601997
+         2.61710906029
+         2.62287425995
+         2.6286509037
+         2.63444185257
+         2.64024567604
+         2.6460621357
+         2.65189146996
+         2.65773177147
+         2.66358685493
+         2.66945457458
+         2.67533564568
+         2.68122935295
+         2.68713617325
+         2.69305419922
+         2.69898700714
+         2.70493292809
+         2.71089196205
+         2.71686410904
+         2.7228474617
+         2.72884607315
+         2.7348575592
+         2.74088263512
+         2.74692082405
+         2.75297236443
+         2.75903534889
+         2.76511359215
+         2.77120518684
+         2.77731013298
+         2.78342866898
+         2.78955888748
+         2.79570412636
+         2.80186319351
+         2.80803561211
+         2.81422185898
+         2.82041978836
+         2.82663321495
+         2.8328602314
+         2.83910107613
+         2.84535551071
+         2.85162210464
+         2.8579044342
+         2.8642001152
+         2.87051010132
+         2.87683391571
+         2.8831717968
+         2.88952159882
+         2.89588713646
+         2.9022667408
+         2.90866041183
+         2.91506838799
+         2.92148828506
+         2.92792463303
+         2.93437457085
+         2.9408390522
+         2.94731783867
+         2.95381069183
+         2.96031594276
+         2.966837883
+         2.9733736515
+         2.97992420197
+         2.98648881912
+         2.99306631088
+         2.99966001511
+         3.00626850128
+         3.01289105415
+         3.0195286274
+         3.0261785984
+         3.03284525871
+         3.03952670097
+         3.04622292519
+         3.05293393135
+         3.0596575737
+         3.06639790535
+         3.07315325737
+         3.07992339134
+         3.08670854568
+         3.09350848198
+         3.10032176971
+         3.10715174675
+         3.11399650574
+         3.12085676193
+         3.12773227692
+         3.1346206665
+         3.14152622223
+         3.14844703674
+         3.15538311005
+         3.16233444214
+         3.16930103302
+         3.17628121376
+         3.18327832222
+         3.19029116631
+         3.1973195076
+         3.20436310768
+         3.21142029762
+         3.21849513054
+         3.22558546066
+         3.23269152641
+         3.23981332779
+         3.24694824219
+         3.25410151482
+         3.26127028465
+         3.26845502853
+         3.27565526962
+         3.28286957741
+         3.290102005
+         3.29734969139
+         3.30461406708
+         3.31189393997
+         3.31919026375
+         3.3265004158
+         3.33382844925
+         3.341173172
+         3.34853363037
+         3.35591077805
+         3.36330151558
+         3.37071108818
+         3.37813663483
+         3.38557863235
+         3.39303731918
+         3.40051221848
+         3.40800142288
+         3.41550922394
+         3.42303347588
+         3.43057441711
+         3.43813204765
+         3.44570398331
+         3.45329499245
+         3.46090269089
+         3.46852707863
+         3.47616839409
+         3.48382425308
+         3.49149870872
+         3.49919056892
+         3.50689959526
+         3.5146253109
+         3.52236557007
+         3.53012561798
+         3.53790235519
+         3.54569649696
+         3.55350780487
+         3.56133627892
+         3.56917929649
+         3.57704257965
+         3.58492279053
+         3.59282016754
+         3.60073542595
+         3.60866570473
+         3.61661529541
+         3.62458276749
+         3.63256764412
+         3.64057064056
+         3.64859056473
+         3.6566259861
+         3.66468191147
+         3.67275500298
+         3.68084621429
+         3.68895506859
+         3.69707942009
+         3.70522451401
+         3.71338701248
+         3.72156763077
+         3.72976613045
+         3.73798060417
+         3.74621558189
+         3.75446820259
+         3.76273965836
+         3.7710287571
+         3.7793340683
+         3.78766012192
+         3.79600405693
+         3.80436682701
+         3.81274795532
+         3.82114744186
+         3.82956290245
+         3.83799934387
+         3.84645462036
+         3.85492873192
+         3.86342096329
+         3.87192964554
+         3.88045954704
+         3.88900828362
+         3.89757585526
+         3.90616202354
+         3.91476726532
+         3.9233891964
+         3.93203234673
+         3.94069480896
+         3.94937610626
+         3.95807695389
+         3.96679377556
+         3.97553277016
+         3.98429083824
+         3.99306821823
+         4.00186491013
+         4.01067876816
+         4.01951408386
+         4.02836894989
+         4.03724384308
+         4.04613780975
+         4.05504894257
+         4.06398248672
+         4.07293510437
+         4.08190774918
+         4.09090042114
+         4.09991264343
+         4.10894203186
+         4.11799430847
+         4.12706613541
+         4.13615846634
+         4.1452703476
+         4.15439939499
+         4.1635518074
+         4.17272424698
+         4.18191671371
+         4.19112968445
+         4.20036268234
+         4.20961332321
+         4.2188873291
+         4.22818136215
+         4.23749637604
+         4.24683141708
+         4.25618457794
+         4.26556062698
+         4.2749581337
+         4.28437614441
+         4.29381418228
+         4.3032708168
+         4.31275081635
+         4.32225179672
+         4.33177423477
+         4.34131717682
+         4.35087823868
+         4.3604631424
+         4.37006950378
+         4.37969684601
+         4.38934516907
+         4.3990149498
+         4.40870332718
+         4.41841554642
+         4.42814922333
+         4.43790483475
+         4.447681427
+         4.45747709274
+         4.46729660034
+         4.47713851929
+         4.48700141907
+         4.49688625336
+         4.50679302216
+         4.5167183876
+         4.52666902542
+         4.53664112091
+         4.54663562775
+         4.55665206909
+         4.56668710709
+         4.57674741745
+         4.58683013916
+         4.59693527222
+         4.60706233978
+         4.61720895767
+         4.62738037109
+         4.6375746727
+         4.64779138565
+         4.65803050995
+         4.66828918457
+         4.67857313156
+         4.68888044357
+         4.69921016693
+         4.70956230164
+         4.71993732452
+         4.73033285141
+         4.74075365067
+         4.7511973381
+         4.7616648674
+         4.77215433121
+         4.78266429901
+         4.7932009697
+         4.80376005173
+         4.81434297562
+         4.82494878769
+         4.83557844162
+         4.84622812271
+         4.85690450668
+         4.86760425568
+         4.87832784653
+         4.8890748024
+         4.89984226227
+         4.91063642502
+         4.92145490646
+         4.93229675293
+         4.94316291809
+         4.95404911041
+         4.96496343613
+         4.97590112686
+         4.98686313629
+         4.99784898758
+         5.00885629654
+         5.01989078522
+         5.03094959259
+         5.0420331955
+         5.05314064026
+         5.06427288055
+         5.07542610168
+         5.08660745621
+         5.09781312943
+         5.10904359818
+         5.12029886246
+         5.13157558441
+         5.14288043976
+         5.15421009064
+         5.16556549072
+         5.1769452095
+         5.18835020065
+         5.19977664948
+         5.21123170853
+         5.22271203995
+         5.23421812057
+         5.2457485199
+         5.2573018074
+         5.26888370514
+         5.28049135208
+         5.29212427139
+         5.30378293991
+         5.31546354294
+         5.32717370987
+         5.33890914917
+         5.35067129135
+         5.3624587059
+         5.37426900864
+         5.38610839844
+         5.39797401428
+         5.40986585617
+         5.4217839241
+         5.43372821808
+         5.4456949234
+         5.4576921463
+         5.46971511841
+         5.48176527023
+         5.4938416481
+         5.50594091415
+         5.51807069778
+         5.5302271843
+         5.54241037369
+         5.55462026596
+         5.56685733795
+         5.57911777496
+         5.59140825272
+         5.60372638702
+         5.61607122421
+         5.62844371796
+         5.64083957672
+         5.6532664299
+         5.6657204628
+         5.67820215225
+         5.69071102142
+         5.70324420929
+         5.71580886841
+         5.72840023041
+         5.74102020264
+         5.75366783142
+         5.76633930206
+         5.77904319763
+         5.79177427292
+         5.8045334816
+         5.81732082367
+         5.83013677597
+         5.84297657013
+         5.85584926605
+         5.86874914169
+         5.8816781044
+         5.89463567734
+         5.90761804581
+         5.92063188553
+         5.93367576599
+         5.94674730301
+         5.95984840393
+         5.97297763824
+         5.98613262177
+         5.99932003021
+         6.01253700256
+         6.02578210831
+         6.03905725479
+         6.05235719681
+         6.06569051743
+         6.07905340195
+         6.09244585037
+         6.1058678627
+         6.1193151474
+         6.1327958107
+         6.14630651474
+         6.15984678268
+         6.17341709137
+         6.18701267242
+         6.20064353943
+         6.2143034935
+         6.22799301147
+         6.24171352386
+         6.25546455383
+         6.26924133301
+         6.28305244446
+         6.29689407349
+         6.31076622009
+         6.32466888428
+         6.33859777451
+         6.35256242752
+         6.36655664444
+         6.38058233261
+         6.3946390152
+         6.40872621536
+         6.42284059525
+         6.43699026108
+         6.45117092133
+         6.46538305283
+         6.47962665558
+         6.49389648438
+         6.50820302963
+         6.52254056931
+         6.53691005707
+         6.55131053925
+         6.56573915482
+         6.58020401001
+         6.59469938278
+         6.60922813416
+         6.62378787994
+         6.63837623596
+         6.6530008316
+         6.6676568985
+         6.68234634399
+         6.69706726074
+         6.71182155609
+         6.72660303116
+         6.74142217636
+         6.75627326965
+         6.77115726471
+         6.78607463837
+         6.80101919174
+         6.81600284576
+         6.83101844788
+         6.84606695175
+         6.86114883423
+         6.87626409531
+         6.89140796661
+         6.90658998489
+         6.92180538177
+         6.93705415726
+         6.95233678818
+         6.96764850616
+         6.98299741745
+         6.99838113785
+         7.01379919052
+         7.0292506218
+         7.04473114014
+         7.06025123596
+         7.07580471039
+         7.09139299393
+         7.10701560974
+         7.12266731262
+         7.13835859299
+         7.1540851593
+         7.16984558105
+         7.18564033508
+         7.2014708519
+         7.21733140945
+         7.23323059082
+         7.24916553497
+         7.26513528824
+         7.28114128113
+         7.29717636108
+         7.3132519722
+         7.32936382294
+         7.34551000595
+         7.36169242859
+         7.37791013718
+         7.39415884018
+         7.41044902802
+         7.42677402496
+         7.44313526154
+         7.45953226089
+         7.47596120834
+         7.49243116379
+         7.50893640518
+         7.52547931671
+         7.54205751419
+         7.5586681366
+         7.57532024384
+         7.59200811386
+         7.60873365402
+         7.62549591064
+         7.64229011536
+         7.6591258049
+         7.67599868774
+         7.69290924072
+         7.70985746384
+         7.72684192657
+         7.74385929108
+         7.76091909409
+         7.77801656723
+         7.79515171051
+         7.81232404709
+         7.82952976227
+         7.84677839279
+         7.86406469345
+         7.88138961792
+         7.89875221252
+         7.91615390778
+         7.93358755112
+         7.95106554031
+         7.96858167648
+         7.98613643646
+         8.00372982025
+         8.02135753632
+         8.03902816772
+         8.05673789978
+         8.07448768616
+         8.09227561951
+         8.11009788513
+         8.12796497345
+         8.14587020874
+         8.16381549835
+         8.18180084229
+         8.19982051849
+         8.21788406372
+         8.23598861694
+         8.25413227081
+         8.27231693268
+         8.29054069519
+         8.30879878998
+         8.32710361481
+         8.34544849396
+         8.36383342743
+         8.3822593689
+         8.40072059631
+         8.41922664642
+         8.4377746582
+         8.4563627243
+         8.47499275208
+         8.49366283417
+         8.51236915588
+         8.53112125397
+         8.5499162674
+         8.56875228882
+         8.58762836456
+         8.60654163361
+         8.62550163269
+         8.64450359344
+         8.66354846954
+         8.68263435364
+         8.70175647736
+         8.72092628479
+         8.74013900757
+         8.75939369202
+         8.77869033813
+         8.79802417755
+         8.81740665436
+         8.83683109283
+         8.85629844666
+         8.87580966949
+         8.895362854
+         8.91495418549
+         8.93459320068
+         8.95427703857
+         8.97400283813
+         8.99377250671
+         9.01358032227
+         9.03343677521
+         9.05333805084
+         9.07328224182
+         9.09327125549
+         9.11330413818
+         9.13337421417
+         9.1534948349
+         9.17366027832
+         9.19387054443
+         9.21412467957
+         9.23441791534
+         9.25476074219
+         9.2751493454
+         9.2955827713
+         9.3160610199
+         9.33657836914
+         9.35714626312
+         9.37776088715
+         9.39842033386
+         9.41912460327
+         9.439868927
+         9.46066570282
+         9.48150730133
+         9.50239467621
+         9.5233297348
+         9.54430866241
+         9.56532859802
+         9.58640193939
+         9.60752010345
+         9.62868595123
+         9.64989757538
+         9.67115020752
+         9.69245624542
+         9.71380901337
+         9.73520851135
+         9.75665569305
+         9.7781496048
+         9.79968452454
+         9.82127285004
+         9.84290981293
+         9.86459350586
+         9.88632583618
+         9.90809822083
+         9.92992687225
+         9.95180225372
+         9.97372627258
+         9.99569797516
+         10.0177125931
+         10.0397815704
+         10.0618991852
+         10.084066391
+         10.1062812805
+         10.1285390854
+         10.1508522034
+         10.1732149124
+         10.1956262589
+         10.2180871964
+         10.2405977249
+         10.2631511688
+         10.2857608795
+         10.3084201813
+         10.3311309814
+         10.353890419
+         10.3766927719
+         10.399553299
+         10.4224634171
+         10.4454240799
+         10.4684362411
+         10.4914970398
+         10.5146036148
+         10.5377674103
+         10.5609827042
+         10.5842485428
+         10.6075658798
+         10.6309270859
+         10.6543474197
+         10.6778182983
+         10.7013425827
+         10.7249174118
+         10.7485380173
+         10.7722167969
+         10.7959480286
+         10.8197317123
+         10.8435678482
+         10.8674488068
+         10.8913898468
+         10.9153842926
+         10.9394302368
+         10.9635305405
+         10.9876832962
+         11.0118818283
+         11.0361413956
+         11.0604543686
+         11.0848207474
+         11.1092405319
+         11.1337070465
+         11.1582355499
+         11.1828165054
+         11.207452774
+         11.2321424484
+         11.2568874359
+         11.2816791534
+         11.3065328598
+         11.3314409256
+         11.3564043045
+         11.3814220428
+         11.4064884186
+         11.4316177368
+         11.4568004608
+         11.4820404053
+         11.5073356628
+         11.5326786041
+         11.5580863953
+         11.5835485458
+         11.6090669632
+         11.6346416473
+         11.6602659225
+         11.6859531403
+         11.7116985321
+         11.7374982834
+         11.7633562088
+         11.7892713547
+         11.8152360916
+         11.8412637711
+         11.867351532
+         11.893494606
+         11.9196968079
+         11.9459476471
+         11.9722652435
+         11.9986400604
+         12.0250740051
+         12.0515642166
+         12.0781145096
+         12.1047143936
+         12.1313810349
+         12.1581068039
+         12.1848917007
+         12.2117357254
+         12.2386302948
+         12.2655916214
+         12.2926130295
+         12.3196935654
+         12.3468341827
+         12.3740253448
+         12.4012870789
+         12.428606987
+         12.4559860229
+         12.4834270477
+         12.5109205246
+         12.538482666
+         12.5661048889
+         12.593788147
+         12.6215324402
+         12.6493377686
+         12.677195549
+         12.705124855
+         12.7331132889
+         12.7611646652
+         12.7892780304
+         12.8174448013
+         12.8456811905
+         12.8739805222
+         12.9023418427
+         12.9307661057
+         12.9592533112
+         12.9877929688
+         13.0164060593
+         13.0450811386
+         13.0738201141
+         13.1026210785
+         13.1314783096
+         13.16040802
+         13.1893987656
+         13.2184562683
+         13.2475757599
+         13.2767524719
+         13.3060016632
+         13.335313797
+         13.364692688
+         13.3941345215
+         13.4236335754
+         13.4532060623
+         13.4828443527
+         13.5125465393
+         13.5423145294
+         13.5721492767
+         13.6020383835
+         13.6320056915
+         13.6620368958
+         13.6921339035
+         13.7222976685
+         13.7525196075
+         13.7828159332
+         13.8131799698
+         13.8436107635
+         13.8741083145
+         13.9046735764
+         13.9352970123
+         13.9659948349
+         13.9967622757
+         14.027598381
+         14.0585012436
+         14.0894622803
+         14.1205024719
+         14.1516094208
+         14.1827859879
+         14.2140312195
+         14.2453346252
+         14.276717186
+         14.3081703186
+         14.3396911621
+         14.3712806702
+         14.4029321671
+         14.4346628189
+         14.4664611816
+         14.4983310699
+         14.5302705765
+         14.5622825623
+         14.5943527222
+         14.6265039444
+         14.6587276459
+         14.6910200119
+         14.7233848572
+         14.7558107376
+         14.7883176804
+         14.820898056
+         14.8535480499
+         14.8862705231
+         14.9190645218
+         14.9519224167
+         14.9848623276
+         15.0178728104
+         15.0509586334
+         15.0841150284
+         15.1173362732
+         15.1506404877
+         15.1840162277
+         15.217467308
+         15.2509918213
+         15.2845802307
+         15.3182516098
+         15.3519973755
+         15.3858184814
+         15.4197149277
+         15.4536733627
+         15.4877185822
+         15.5218381882
+         15.5560331345
+         15.590303421
+         15.6246480942
+         15.6590595245
+         15.6935567856
+         15.7281293869
+         15.7627792358
+         15.797504425
+         15.8322963715
+         15.8671751022
+         15.9021310806
+         15.937163353
+         15.9722728729
+         16.0074596405
+         16.0427150726
+         16.0780563354
+         16.1134757996
+         16.1489753723
+         16.184551239
+         16.2201957703
+         16.2559299469
          16.2917404175
 }