# Identifications: Projective Plane Glued
# Comparison of Eigenfunctions on Level 4 to Eigenfunctions on Level 3
# Looking at K = 20 eigenvalues to either side of the closest level-3 eigenvalue.

# Dot value closer to zero means closer comparison.

# Eigenvalue Index, Dot Value
# 0, 2.220446049250313e-16
# 1, 1.804496179469428e-05
# 2, 2.7805761335431e-05
# 3, 8.46779048758739e-05
# 4, 0.00010780718830571967
# 5, 0.00010780718830571967
# 6, 0.00012213489380386022
# 7, 0.00016677501814665874
# 8, 0.00031923910090536634
# 9, 0.0001841768037885716
# 10, 0.00017225677959209484
# 11, 0.00037827082523067546
# 12, 0.00037827082523056443
# 13, 0.000736576409165357
# 14, 0.0003659335272420128
# 15, 0.00048539060804075884
# 16, 0.00019085106911675975
# 17, 0.0013019861591897497
# 18, 0.0020693952477724986
# 19, 0.000752151634817233
# 20, 0.0011818544967552302
# 21, 0.0011818544967553413
# 22, 0.0012685692555612915
# 23, 0.0012685692555616246
# 24, 0.002216286693924041
# 25, 0.0011386770236814225
# 26, 0.0017738125603344868
# 27, 0.0018996236200279348
# 28, 0.0014215263537856737
# 29, 0.004290675715828862
# 30, 0.004290675715825865
# 31, 0.0042407836960689504
# 32, 0.004240783696073169
# 33, 0.0018508786897730722
# 34, 0.001938666720777693
# 35, 0.004620966766550438
# 36, 0.0022688734314310066
# 37, 0.0014782446148058348
# 38, 0.0014782446148059458
# 39, 0.0035524794665126036
# 40, 0.003597122062774183
# 41, 0.003597122062775515
# 42, 0.004179961920588671
# 43, 0.0025257542642251885
# 44, 0.0025257542642262987
# 45, 0.0014332152551935762
# 46, 0.0014332152551936872
# 47, 0.004870754426623658
# 48, 0.006081335873622362
# 49, 0.004266017320709525
# 50, 0.0041323137165796275
# 51, 0.004132313716579072
# 52, 0.007103347906352586
# 53, 0.010800152274692443
# 54, 0.00032834577856177827
# 55, 0.0024135566193830282
# 56, 0.00751674575894401
# 57, 0.007516745758944232
# 58, 0.007409271598425082
# 59, 0.007915762981241525
# 60, 0.018688832969823488
# 61, 0.01868883296982038
# 62, 0.011862172098635604
# 63, 0.013529887974388366
# 64, 0.012129980463191137
# 65, 0.012129980463189693
# 66, 0.026996307228455696
# 67, 0.011157460889872017
# 68, 0.044900109554458334
# 69, 0.01624720986502637
# 70, 0.1178965302680437
# 71, 0.0006826703997198091
# 72, 0.2332481479960513
# 73, 0.06885356414974908
# 74, 0.02407375086011887
# 75, 0.0
# 76, 0.030795989232556664
# 77, 0.030795989232554777
# 78, 0.032987769524609356
# 79, 0.032987769524618016
# 80, 0.20374379840550116
# 81, 0.25284513461677016
# 82, 0.18280624472698825
# 83, 0.054131320825988594
# 84, 0.06392479869118972
# 85, 0.029416001032021244
# 86, 0.01093503083721159
# 87, 0.010935030837211923
# 88, 0.1746654075813474
# 89, 0.02024172637920818
# 90, 0.02024172637920585
# 91, 0.05927409680171658
# 92, 0.1315043783601929
# 93, 0.20517143823774542
# 94, 0.2051714382377713
# 95, 0.31570929437082595
# 96, 0.09299559772131505
# 97, 0.4235145981609033
# 98, 0.423514598160874
# 99, 0.14888551775159742
# 100, 0.44432377303008563
# 101, 0.44432377303001536
# 102, 0.2652655371304484
# 103, 0.21062563679099078
# 104, 0.13254679999467223
# 105, 0.1566269052426763
# 106, 0.07809589186219568
# 107, 0.2708428424246543
# 108, 0.27084284242467316
# 109, 0.39339865065973645
# 110, 0.044914812821593375
# 111, 0.19808868088081266
# 112, 0.32465573682249826
# 113, 0.3246557368225267
# 114, 0.3641328212033109
# 115, 0.36413282120316337
# 116, 0.27512304593657044
# 117, 0.007310975902897976
# 118, 0.011445548696592867
# 119, 0.38839885463951884
# 120, 0.3883988546395619
# 121, 0.16787584929791843
# 122, 0.36024448245527296
# 123, 0.08343859445796631
# 124, 0.083438594457939
# 125, 0.27066991749786773
# 126, 0.13976969887845048
# 127, 0.0
# 128, 0.4402100852973181
# 129, 0.1561313210614338
# 130, 0.21492581667441135
# 131, 0.2149258166744159
# 132, 0.27580196471667295
# 133, 0.22066196571620522
# 134, 0.39589125281069404
# 135, 0.14219539026216244
# 136, 0.15174204320223317
# 137, 0.15174204320225526
# 138, 0.11410547523837111
# 139, 0.08807315106096669
# 140, 0.09475619724591722
# 141, 0.09475619724595019
# 142, 0.05810842785204695
# 143, 0.13028971389459232
# 144, 0.07019552972777265
# 145, 0.07019552972777643
# 146, 0.0966420396697728
# 147, 0.1273171879241375
# 148, 0.13373760844051896
# 149, 0.13155288832105938
# 150, 0.1315528883210645
# 151, 0.21486772657353947
# 152, 0.13241666911769856
# 153, 0.1393682334812799
# 154, 0.2938416602073567
# 155, 0.2938416602073505
# 156, 0.17791101165976242
# 157, 0.02064945241313676
# 158, 0.25077688972839485
# 159, 0.12800333575264067
# 160, 0.3014208755368736
# 161, 0.2073180532822031
# 162, 0.10727115593083014
# 163, 0.10727115593083192
# 164, 0.3772081245781187
# 165, 0.3772081245781299
# 166, 0.32602306443306905
# 167, 0.46417609639916524
# 168, 0.2520734958108506
# 169, 0.2520734958108538
# 170, 0.3647252635508108
# 171, 0.1662863155385692
# 172, 0.16628631553856088
# 173, 0.4127478251934813
# 174, 0.41274782519350983
# 175, 0.44735083031597844
# 176, 0.4774619980232061
# 177, 0.30478371533163007
# 178, 0.530807827142843
# 179, 0.5308078271428383
# 180, 0.14622345582820628
# 181, 0.14622345582819818
# 182, 0.28238093474320836
# 183, 0.47093853588059886
# 184, 0.47093853588058743
# 185, 0.31871488264795655
# 186, 0.5003276107482937
# 187, 0.6852033284382155
# 188, 0.685203328438164
# 189, 0.6883535177195323
# 190, 0.4694257813253624
# 191, 0.41868257071852666
# 192, 0.6965020246354687
# 193, 0.6965020246354552
# 194, 0.678132748861966
# 195, 0.7469978393352941
# 196, 0.4902870147500319
# 197, 0.15199842905626804
# 198, 0.6974548687532481
# 199, 0.5553572817455199
# 200, 0.5553572817455247
# 201, 0.5212289346340332
# 202, 0.436738640244293
# 203, 0.43673864024424847
# 204, 0.39165089899833216
# 205, 0.39165089899826955
# 206, 0.29724382391630944
# 207, 0.36631444836221383
# 208, 0.623047276314056
# 209, 0.6230472763140811
# 210, 0.38766643313257443
# 211, 3
# 212, 0.012681577596699523
# 213, 0.42963657493462293
# 214, 0.27334976095479124
# 215, 0.38888623211376105
# 216, 0.3583425977149016
# 217, 0.608420547456313
# 218, 0.5160153805286594
# 219, 0.5160153805288265
# 220, 0.42034474049167536
# 221, 0.42034474049197423
# 222, 0.1724595386159974
# 223, 0.522602408497425
# 224, 0.43534438533196995
# 225, 0.5424803323276646
# 226, 0.5424803323276145
# 227, 0.5768939960372503
# 228, 0.5768939960372172
# 229, 0.41275607360927125
# 230, 2.220446049250313e-16
# 231, 0.520853529526436
# 232, 0.5560873357880738
# 233, 0.5560873357880712
# 234, 0.3087054642979571
# 235, 0.3087054642979533
# 236, 0.5380178857637463
# 237, 0.5637224888200734
# 238, 0.3987216865918134
# 239, 0.5122912598033513
# 240, 0.5122912598033337
# 241, 0.5982459210127244
# 242, 0.5004769681345687
# 243, 0.5391485856510196
# 244, 0.2954368270614075
# 245, 0.29543682706140395
# 246, 0.54427141141913
# 247, 0.5982645116205394
# 248, 0.6363635134174028
# 249, 0.42848431194587333
# 250, 0.42848431194589753
# 251, 0.6343407380070066
# 252, 0.36733714827968145
# 253, 0.36733714827970854
# 254, 0.43769277778717675
# 255, 0.6682441153977892
# 256, 0.3865765789766479
# 257, 0.38657657897669573
# 258, 0.5505255316494944
# 259, 0.22544970520710805
# 260, 0.5105621323187411
# 261, 0.5105621323187304
# 262, 0.400154729464833
# 263, 0.5033307617688123
# 264, 0.5033307617688024
# 265, 0.256636145664073
# 266, 0.1003428380085738
# 267, 0.6196395365775067
# 268, 0.6196395365775006
# 269, 0.4669917724472775
# 270, 0.6669886368120157
# 271, 0.6669886368121101
# 272, 0.45538406032428413
# 273, 0.6043724136725408
# 274, 0.6043724136725444
# 275, 0.5092789324086755
# 276, 0.5300913620863934
# 277, 0.5215533244814933
# 278, 0.38507378981301665
# 279, 0.38507378981302987
# 280, 0.5513640670610297
# 281, 0.5513640670610778
# 282, 0.6093262025671904
# 283, 0.03233281594177828
# 284, 0.5180852408912064
# 285, 0.5180852408913216
# 286, 0.3895353011157573
# 287, 0.38953530111576573
# 288, 0.6188894282353685
# 289, 0.14069708719805052
# 290, 0.18662940620747281
# 291, 0.18662940620748825
# 292, 0.3333911349341564
# 293, 0.39486050480083545
# 294, 0.5018073036797028
# 295, 0.5018073036796963
# 296, 0.2578572773052996
# 297, 0.35705395231164017
# 298, 0.2632398844082361
# 299, 0.655679936543089
# 300, 0.08347280612343921
# 301, 0.41907835871061716
# 302, 0.41907835871061794
# 303, 0.4168283216132197
# 304, 0.6684320617032425
# 305, 0.6684320617032595
# 306, 0.4705482603232787
# 307, 0.4497682757315157
# 308, 0.5050197221995698
# 309, 0.3816044046956564
# 310, 0.31405128455240605
# 311, 0.4209282073444284
# 312, 0.5375995578964822
# 313, 0.42754900761031545
# 314, 0.42754900761034376
# 315, 0.5026165608641344
# 316, 0.5339299296601729
# 317, 3
# 318, 3
# 319, 0.6958102960866104
# 320, 0.0927821931744377
# 321, 0.4932697690179467
# 322, 0.5795360420761037
# 323, 0.49255722027664317
# 324, 0.4925572202766405
# 325, 0.4948559784822306
# 326, 0.6134752643055723
# 327, 0.5819121744949751
# 328, 0.48797804700235625
# 329, 0.48797804700237213
# 330, 0.6369227569583429
# 331, 0.7494583886045805
# 332, 0.6064849850856383
# 333, 0.5793940527605271
# 334, 0.5793940527604489
# 335, 0.6642172556459005
# 336, 0.6642172556457768
# 337, 0.1953503720080575
# 338, 0.29174073962997593
# 339, 0.3768002102528327
# 340, 0.46053501859311485
# 341, 0.4605350185930762
# 342, 0.6663541675781993
# 343, 0.4450260361893137
# 344, 0.44502603618938075
# 345, 0.4753441399325685
# 346, 0.29570795010509465
# 347, 0.6190404102099485
# 348, 0.6190404102099067
# 349, 0.4879302166564411
# 350, 0.37498349092907657
# 351, 0.4571143692472259
# 352, 0.4571143692471993
# 353, 0.3663419444372785
# 354, 0.30260948658579
# 355, 0.5608650540527355
# 356, 0.5608650540527165
# 357, 0.7211503328980624
# 358, 0.7211503328980446
# 359, 0.5286081186186999
# 360, 0.125429049162621
# 361, 0.12542904916262165
# 362, 0.7269763897686206
# 363, 0.7269763897686256
# 364, 0.2802757213222632
# 365, 0.2623029409395611
# 366, 0.2623029409395582
# 367, 0.0006505301638103367
# 368, 0.0006505301638104477
# 369, 0.32086185754530305
# 370, 0.47850784123679846
# 371, 0.48856787737695917
# 372, 0.4885678773769383
# 373, 0.47871794357976805
# 374, 0.47871794357978337
# 375, 0.44232715124173294
# 376, 3
# 377, 0.3062811147050507
# 378, 0.4605546002756774
# 379, 0.46055460027568773
# 380, 0.3383693037733658
# 381, 0.43749721222618987
# 382, 0.09999860002487992
# 383, 0.1869546929385555
# 384, 0.4418622915385705
# 385, 0.4418622915385526
# 386, 0.32508068921159283
# 387, 0.3250806892115926
# 388, 0.3581613470593874
# 389, 0.35816134705942704
# 390, 0.42097366266084457
# 391, 0.25358078250010174
# 392, 0.44863167791003156
# 393, 0.043355674868969074
# 394, 0.5499344550386713
# 395, 0.6234548988789412
# 396, 0.6234548988789591
# 397, 0.6705009476355619
# 398, 0.6705009476355871
# 399, 0.4041042647850298
# 400, 0.4391014823453674
# 401, 0.38505621137504464
# 402, 0.5004543533794557
# 403, 0.5990681015716394
# 404, 0.5990681015716265
# 405, 0.5527047097096522
# 406, 0.2562684543624487
# 407, 0.5100902342794573
# 408, 0.7559855713270752
# 409, 0.5982989689323144
# 410, 0.5982989689323328
# 411, 3
# 412, 0.6072036907476743
# 413, 0.5488490725890851
# 414, 0.5488490725891271
# 415, 0.045540517561178606
# 416, 0.04554051756118016
# 417, 0.600928166199773
# 418, 0.6585606091551386
# 419, 0.8067589675220627
# 420, 0.6478057505276309
# 421, 0.647805750527673
# 422, 0.5211884552998544
# 423, 0.33316598239860973
# 424, 0.4264104021121927
# 425, 0.4487235029329484
# 426, 0.4487235029329407
# 427, 2.220446049250313e-16
# 428, 0.4798325413326251
# 429, 0.4185991694768606
# 430, 0.523352159911846
# 431, 0.6315200777655334
# 432, 0.6315200777655404
# 433, 3
# 434, 0.5974473918530046
# 435, 0.6461019390548941
# 436, 0.6296291384837366
# 437, 0.588640596596115
# 438, 0.723091210745515
# 439, 0.5826554994573597
# 440, 0.5826554994573554
# 441, 2
# 442, 0.5810778735309172
# 443, 0.855778187929496
# 444, 0.31300958181975613
# 445, 0.5690523225271069
# 446, 0.5690523225270905
# 447, 0.5989380409751051
# 448, 0.578537617870798
# 449, 0.5785376178707973
# 450, 0.9064924794948677
# 451, 0.730759672750961
# 452, 0.6644631822734666
# 453, 0.7733346020063198
# 454, 0.87463932225211
# 455, 0.8746393222521679
# 456, 0.693002436515973
# 457, 0.7520041764729747
# 458, 0.8291592161863315
# 459, 3
# 460, 0.6182148859855392
# 461, 0.6182148859855197
# 462, 0.4713036837628807
# 463, 0.5177957473063186
# 464, 0.682349689485596
# 465, 0.6823496894856655
# 466, 0.6841424461670575
# 467, 0.5149653562869578
# 468, 0.5149653562869306
# 469, 0.23651928851894632
# 470, 0.23651928851896198
# 471, 0.4354960615435679
# 472, 0.5667626047811629
# 473, 0.7930766611462736
# 474, 0.7930766611463466
# 475, 0.48128543172240956
# 476, 0.7567215261482318
# 477, 0.6747532766629947
# 478, 0.9190532580599391
# 479, 0.7606957849838759
# 480, 0.7606957849838547
# 481, 0.7903954467136963
# 482, 0.7903954467136897
# 483, 0.6830039491881051
# 484, 0.8654410071794072
# 485, 0.8654410071793774
# 486, 0.4639590626881811
# 487, 0.7223422719601178
# 488, 0.8052175362546303
# 489, 0.64421142805857
# 490, 2.220446049250313e-16
# 491, 0.7253474592216316
# 492, 0.7253474592216197
# 493, 0.679948125959811
# 494, 3
# 495, 0.6285730671243424
# 496, 0.582685225820882
# 497, 0.5826852258208493
# 498, 0.8223496235242946
# 499, 0.8887524761933175
# 500, 0.6441232115262578
# 501, 0.644123211526263
# 502, 0.3669827496334015
# 503, 0.7689007281855393
# 504, 0.7135498292138648
# 505, 0.7039822773375853
# 506, 0.7039822773375757
# 507, 0.17716550190726432
# 508, 0.8696575581625289
# 509, 0.33027914713019413
# 510, 0.8539752107066589
# 511, 0.790693344060815
# 512, 0.7906933440608358
# 513, 0.48519037813189403
# 514, 0.6992309285462439
# 515, 0.7641478133689292
# 516, 0.40479508061293723
# 517, 0.8655365397334738
# 518, 0.8655365397334682
# 519, 0.0
# 520, 0.5813359229164213
# 521, 0.7326550020186846
# 522, 0.7326550020187345
# 523, 0.10969442174125166
# 524, 0.7484350524438667
# 525, 0.6442272146822212
# 526, 0.5172743059902318
# 527, 0.6741561211331445
# 528, 0.286695117021438
# 529, 0.28669511702142325
# 530, 0.7585920818538124
# 531, 0.7585920818538449
# 532, 0.7522016730014102
# 533, 0.7522016730014296
# 534, 0.8651061668018986
# 535, 0.7047568794106358
# 536, 0.7657942560721535
# 537, 0.7932116309537989
# 538, 0.591928073978361
# 539, 0.5919280739785541
# 540, 0.7317259482246291
# 541, 0.7819109237101531
# 542, 0.7819109237102656
# 543, 0.5575389890896136
# 544, 0.792644210800474
# 545, 0.6736751082891603
# 546, 0.6736751082893302
# 547, 0.6081368207889354
# 548, 0.6081368207889462
# 549, 0.6786603800269715
# 550, 0.43549507338731963
# 551, 0.6614526361657858
# 552, 0.4563569234466359
# 553, 0.6340012769292168
# 554, 0.63400127692923
# 555, 0.3713208539130659
# 556, 0.488697254159454
# 557, 0.6654824043854348
# 558, 0.30813259832794926
# 559, 0.6325861130606978
# 560, 0.6212549106382979
# 561, 0.29910142665345896
# 562, 0.50025451526153
# 563, 0.5002545152613435
# 564, 0.4128378681952888
# 565, 0.41283786819538615
# 566, 0.7793332284697674
# 567, 0.655460019798829
# 568, 0.6554600197988734
# 569, 0.8739107797320866
# 570, 0.5619486974494405
# 571, 3
# 572, 0.6798211277939207
# 573, 0.6798211277938662
# 574, 0.8298979877112244
# 575, 0.6979590593368836
# 576, 0.5766680084000031
# 577, 0.8603969035854822
# 578, 0.715235366212724
# 579, 0.7152353662127154
# 580, 0.5348624966114905
# 581, 0.5348624966114572
# 582, 0.8147281127464743
# 583, 0.609052791587898
# 584, 0.6090527915878454
# 585, 0.7006876109176439
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# 1707, 0.7893801895828368
# 1708, 0.9088852519189242
# 1709, 0.9088852519189237
# 1710, 0.7912940182933609
# 1711, 0.7368167363385734
# 1712, 0.9066528292909278
# 1713, 0.9066528292908661
# 1714, 3
# 1715, 0.6453886049502645
# 1716, 0.6453886049504766
# 1717, 0.7814741258636608
# 1718, 0.5852089737993744
# 1719, 0.6390984513677531
# 1720, 0.4814282878422972
# 1721, 0.4814282878424325
# 1722, 0.3606413229108487
# 1723, 0.2830274999404875
# 1724, 0.5811718045056782
# 1725, 0.7943201596465538
# 1726, 0.47747142117546526
# 1727, 0.7472707544681344
# 1728, 0.7447069099037398
# 1729, 0.8626697966287722
# 1730, 0.8134786480859363
# 1731, 0.8134786480858546
# 1732, 0.7407541516318557
# 1733, 0.7407541516318592
# 1734, 0.857546753520333
# 1735, 0.857546753520425
# 1736, 0.6540637327197255
# 1737, 0.6540637327195158
# 1738, 0.5700459247254823
# 1739, 0.8259330248009584
# 1740, 0.8726685449993078
# 1741, 0.8301034888717206
# 1742, 0.8301034888717614
# 1743, 0.6353377006278174
# 1744, 0.8406085291697487
# 1745, 0.3740097147811353
# 1746, 0.37400971478114164
# 1747, 3
# 1748, 3
# 1749, 2
# 1750, 0.7274591804847861
# 1751, 0.7718932897036486
# 1752, 0.7718932897035113
# 1753, 0.8504795225300221
# 1754, 0.5331855308566982
# 1755, 0.5331855308567011
# 1756, 0.6737489788094859
# 1757, 0.8845113283315692
# 1758, 0.8845113283315876
# 1759, 0.8540659553085689
# 1760, 0.8497595134237865
# 1761, 0.8497595134237166
# 1762, 0.7490370614303001
# 1763, 0.7948417230300782
# 1764, 0.7948417230300392
# 1765, 0.7810970743958215
# 1766, 0.8021426157787604
# 1767, 0.9274519257590833
# 1768, 0.8786526783432818
# 1769, 0.6236290515811789
# 1770, 0.8069789871666122
# 1771, 0.9235700263942327
# 1772, 0.9235700263941583
# 1773, 0.7909958086227585
# 1774, 0.7909958086227273
# 1775, 0.7278002502155188
# 1776, 0.8392787695086104
# 1777, 0.9129777341553774
# 1778, 0.912977734155397
# 1779, 3
# 1780, 3
# 1781, 0.7855434581504652
# 1782, 0.578933657560333
# 1783, 0.8011632847931248
# 1784, 0.8817384494905863
# 1785, 0.8817384494905253
# 1786, 0.8536510151604954
# 1787, 0.9311690153605545
# 1788, 0.8426607248067601
# 1789, 0.8426607248067857
# 1790, 0.8605928970918162
# 1791, 0.9066297926046787
# 1792, 0.9182187695234546
# 1793, 0.9182187695234075
# 1794, 0.8400685534127519
# 1795, 0.7192929119205023
# 1796, 0.7192929119203977
# 1797, 0.903431294470778
# 1798, 0.8973086222645458
# 1799, 0.8973086222645118
# 1800, 0.9061465585532638
# 1801, 0.9398791602429377
# 1802, 0.933200552600424
# 1803, 0.8069680486177182
# 1804, 0.8491489299413149
# 1805, 0.8370525278196446
# 1806, 0.8370525278196977
# 1807, 0.8996539170902564
# 1808, 0.9729389930459404
# 1809, 0.9729389930459227
# 1810, 0.9199324568493104
# 1811, 0.9199324568493175
# 1812, 0.979095287186571
# 1813, 0.8163889958991823
# 1814, 0.8485555094200716
# 1815, 0.8485555094200425
# 1816, 0.7149294454639001
# 1817, 0.8520052963834293
# 1818, 0.834671040871025
# 1819, 3
# 1820, 0.7834146477990201
# 1821, 0.7834146477990136
# 1822, 0.8562031671132599
# 1823, 0.9417647622172128
# 1824, 0.9417647622171849
# 1825, 0.8120549107463735
# 1826, 0.8880296854148454
# 1827, 0.8880296854148415
# 1828, 0.8719491622313178
# 1829, 0.8719491622312698
# 1830, 0.6737663951633567
# 1831, 0.7758986071170393
# 1832, 0.9113301081522063
# 1833, 0.7623298240467227
# 1834, 0.8834361863679753
# 1835, 0.717762205830941
# 1836, 0.7177622058308795
# 1837, 0.7747191337976255
# 1838, 0.8130974607786067
# 1839, 0.7619379763480509
# 1840, 0.5514728768869943
# 1841, 0.7913824614440762
# 1842, 0.7913824614441598
# 1843, 0.5784029895691769
# 1844, 0.5784029895691507
# 1845, 0.8336414068962029
# 1846, 0.40387491743148374
# 1847, 0.8787128838805444
# 1848, 0.8787128838806062
# 1849, 0.8667728853975801
# 1850, 0.5606970653949246
# 1851, 0.5606970653946837
# 1852, 0.8742828624269148
# 1853, 0.789859001471086
# 1854, 0.8353285055972355
# 1855, 0.8353285055968597
# 1856, 0.7041560104701255
# 1857, 0.5885322728648772
# 1858, 0.5885322728648734
# 1859, 0.8529376179947921
# 1860, 0.8948748649040095
# 1861, 0.8731023322579544
# 1862, 0.8731023322579208
# 1863, 0.8412889929599474
# 1864, 0.7341441002236482
# 1865, 0.7341441002236583
# 1866, 0.7906028849764689
# 1867, 0.7906028849764278
# 1868, 0.7774381067001475
# 1869, 0.6918509117375098
# 1870, 0.0
# 1871, 0.8691970426266573
# 1872, 0.8762842339176361
# 1873, 0.8762842339176268
# 1874, 0.8850366600418035
# 1875, 0.8890228135196956
# 1876, 0.9271699479277774
# 1877, 0.8675799366424959
# 1878, 0.8675799366424923
# 1879, 0.629612820062089
# 1880, 0.7910828509597593
# 1881, 0.7910828509596439
# 1882, 0.661977976616472
# 1883, 0.7638001586789132
# 1884, 0.7638001586788618
# 1885, 3
# 1886, 0.7792898128663466
# 1887, 0.5255011263354257
# 1888, 0.7680193161508815
# 1889, 0.7680193161508934
# 1890, 0.8445979190588732
# 1891, 0.8445979190587923
# 1892, 0.7012295598761217
# 1893, 0.8136023253114816
# 1894, 0.6066008756886466
# 1895, 0.8349101277565989
# 1896, 0.8349101277565761
# 1897, 0.7462057255730408
# 1898, 0.6904983441255528
# 1899, 0.7231387464309175
# 1900, 0.8065966359241769
# 1901, 0.3057432882288278
# 1902, 0.30574328822881036
# 1903, 0.8055631860000783
# 1904, 0.4704829663381911
# 1905, 0.6420270711885255
# 1906, 0.6420270711885723
# 1907, 0.7329651408256574
# 1908, 0.7981911783777914
# 1909, 0.8813936765348772
# 1910, 0.8813936765347967
# 1911, 0.9098913105501796
# 1912, 0.7216740241292805
# 1913, 0.7216740241293085
# 1914, 0.9297038027822808
# 1915, 0.9297038027826565
# 1916, 0.6946264935169135
# 1917, 0.6946264935166317
# 1918, 3
# 1919, 3
# 1920, 0.549597052730892
# 1921, 0.5439398779385156
# 1922, 3
# 1923, 0.5801217814522897
# 1924, 0.5801217814521411
# 1925, 0.7060392270248452
# 1926, 0.46828731040579163
# 1927, 0.8197773527258949
# 1928, 3
# 1929, 0.39362365061867965
# 1930, 0.5852221182418642
# 1931, 0.5852221182420112
# 1932, 0.5253823660041631
# 1933, 0.7438104225409259
# 1934, 0.7105249287513825
# 1935, 0.7105249287512558
# 1936, 0.5292171035319757
# 1937, 0.545020037417043
# 1938, 0.5667907526309115
# 1939, 0.5667907526305624
# 1940, 0.4252034045959383
# 1941, 3
# 1942, 0.3110873990820753
# 1943, 0.6050427640585503
# 1944, 0.7897819667081852
# 1945, 0.789781966708141
# 1946, 0.45061958498555965
# 1947, 0.33235966504585535
# 1948, 0.3525889117507067
# 1949, 0.6119197989258598
# 1950, 0.6119197989258535
# 1951, 0.35355398215538136
# 1952, 0.4788498029732172
# 1953, 0.667575197047062
# 1954, 0.41351062043182796
# 1955, 0.6617993968099627
# 1956, 0.6617993968098654
# 1957, 0.4649771578051115
# 1958, 0.4649771578050079
# 1959, 0.26888764549201205
# 1960, 0.4924948595630564
# 1961, 0.7531295664842337
# 1962, 0.7531295664840341
# 1963, 0.021663047229855903
# 1964, 0.021663047229856236
# 1965, 0.23123286718808844
# 1966, 0.23123286718812974
# 1967, 0.541909352401252
# 1968, 3
# 1969, 3
# 1970, 0.8274464389427859
# 1971, 0.8877077391073507
# 1972, 0.5862736985121724
# 1973, 0.5862736985120112
# 1974, 0.5907842566702546
# 1975, 0.06239672058478374
# 1976, 0.6755365281949588
# 1977, 0.6755365281941459
# 1978, 0.6107727060176733
# 1979, 0.6107727060175703
# 1980, 0.6654909802013724
# 1981, 0.8178650053491917
# 1982, 0.8356173242740017
# 1983, 0.6541238351908826
# 1984, 0.5076361972583937
# 1985, 0.7996549643173363
# 1986, 0.6295531605024132
# 1987, 0.6295531605024254
# 1988, 0.6953471212941602
# 1989, 0.6652329094420362
# 1990, 0.8422631511675691
# 1991, 0.8422631511676926
# 1992, 0.7292621762859892
# 1993, 0.765787414768837
# 1994, 0.8081699284616489
# 1995, 0.8081699284617028
# 1996, 0.7028058067722845
# 1997, 0.8204112926512968
# 1998, 0.8204112926512815
# 1999, 0.40475268979097334
# 2000, 0.4047526897910366
# 2001, 0.7114552268538686
# 2002, 0.6370914641053927
# 2003, 0.6370914641054363
# 2004, 0.9130886720411636
# 2005, 0.9130886720412081
# 2006, 0.7833901780814336
# 2007, 0.9420572198491823
# 2008, 0.8127996329765883
# 2009, 0.8127996329769074
# 2010, 0.780365976428403
# 2011, 0.7803659764284182
# 2012, 0.4077145451012204
# 2013, 0.40771454510116967
# 2014, 0.2565916057584161
# 2015, 0.2565916057583709
# 2016, 0.6326809615690732
# 2017, 0.8416016322207103
# 2018, 0.8416016322207065
# 2019, 0.564894588125439
# 2020, 0.5648945881253324
# 2021, 0.8730105240403054
# 2022, 0.8867347443828077
# 2023, 0.4099212063852069
# 2024, 0.40992120638550367
# 2025, 0.6853511748100041
# 2026, 0.6853511748100076
# 2027, 0.6461608290193792
# 2028, 0.5169418974533326
# 2029, 0.4857187786976871
# 2030, 0.4857187786977253
# 2031, 0.6151635173920743
# 2032, 0.8781514209766852
# 2033, 0.7386895686698479
# 2034, 0.8199231623031392
# 2035, 0.8199231623031578
# 2036, 0.7755115324433584
# 2037, 0.7755115324433766
# 2038, 0.49980797872916594
# 2039, 0.8616555699371564
# 2040, 0.8616555699371409
# 2041, 0.48164629109746304
# 2042, 0.7326012040300434
# 2043, 0.732601204029908
# 2044, 0.7157989111466175
# 2045, 0.740987843265621
# 2046, 3
# 2047, 0.7432212652020442
# 2048, 0.623117456026681
# 2049, 0.6849333593787799
# 2050, 0.6849333593786731
# 2051, 0.6873242975314178
# 2052, 0.6873242975314438
# 2053, 0.6546473934577355
# 2054, 0.8380761776210041
# 2055, 0.9248767033503028
# 2056, 0.8283312877044902
# 2057, 0.8283312877045366
# 2058, 0.7194561883229101
# 2059, 0.6781349219373638
# 2060, 0.8175639868505205
# 2061, 0.8175639868504122
# 2062, 0.7740660969666402
# 2063, 0.7740660969667718
# 2064, 0.9010495745920566
# 2065, 0.8233710777316957
# 2066, 0.8233710777316746
# 2067, 0.6954975990927161
# 2068, 0.7638535779322392
# 2069, 0.9822945878621386
# 2070, 0.9822945878621515
# 2071, 0.5926241899395717
# 2072, 0.9006956824503565
# 2073, 0.8482018422305223
# 2074, 0.7463359508185006
# 2075, 0.8021531118373986
# 2076, 0.8021531118374224
# 2077, 0.8322682335488893
# 2078, 0.6398251796220551
# 2079, 0.7493074622218416
# 2080, 0.7493074622218486
# 2081, 0.3059407475837065
# 2082, 0.6790501027962378
# 2083, 3
# 2084, 3
# 2085, 3
# 2086, 0.7507033207804137
# 2087, 0.6636317515660886
# 2088, 0.7061495178632773
# 2089, 0.706149517863216
# 2090, 0.7174367616739858
# 2091, 0.4891304521899098
# 2092, 0.9060941454814255
# 2093, 0.7961731728992213
# 2094, 0.7961731728991
# 2095, 0.7111981697996304
# 2096, 0.7111981697996215
# 2097, 0.6737904399269864
# 2098, 0.5123476030178699
# 2099, 0.8684350899880486
# 2100, 0.774123907095988
# 2101, 0.7741239070957938
# 2102, 2
# 2103, 0.6119784855530307
# 2104, 0.6119784855528603
# 2105, 0.7472111454932497
# 2106, 0.8316392312690051
# 2107, 0.8316392312689986
# 2108, 0.8132965730051588
# 2109, 0.8545992479409728
# 2110, 0.8747620357874499
# 2111, 0.8747620357873769
# 2112, 3
# 2113, 0.24803328496954524
# 2114, 0.768974118987503
# 2115, 0.6805074505384934
# 2116, 0.6805074505384003
# 2117, 0.5238229348389077
# 2118, 0.7125149493294524
# 2119, 0.9103421298419455
# 2120, 0.9103421298419355
# 2121, 0.7256153823726427
# 2122, 0.7230616358699558
# 2123, 0.6881324704723648
# 2124, 0.8165566315521724
# 2125, 0.801717015097519
# 2126, 0.6944489282014322
# 2127, 0.4557981878965903
# 2128, 0.8920560390134249
# 2129, 0.8920560390134167
# 2130, 0.7946509345531312
# 2131, 0.7946509345531557
# 2132, 0.8810012701670837
# 2133, 0.8165236350762475
# 2134, 0.514015743746753
# 2135, 0.7795109564441928
# 2136, 0.6988475496430182
# 2137, 0.6988475496430928
# 2138, 0.8483144995355634
# 2139, 0.7185362110938319
# 2140, 0.7185362110937615
# 2141, 0.7899988938143383
# 2142, 3
# 2143, 0.8673180972003732
# 2144, 0.8001974702812502
# 2145, 0.8001974702811147
# 2146, 0.5880217568840067
# 2147, 0.8681932215583761
# 2148, 0.8681932215583767
# 2149, 0.8069000172889409
# 2150, 0.622378183152547
# 2151, 0.78008302309047
# 2152, 0.746722276799362
# 2153, 0.746722276799357
# 2154, 0.8359313459851296
# 2155, 0.7641963842845979
# 2156, 0.7641963842846181
# 2157, 0.7653453010484871
# 2158, 0.882217851896625
# 2159, 0.8822178518966551
# 2160, 0.7282569760585279
# 2161, 0.7476478296510888
# 2162, 0.8700237580240974
# 2163, 3
# 2164, 0.0
# 2165, 0.7684840462324536
# 2166, 0.7684840462326954
# 2167, 0.8292813262617393
# 2168, 0.8477294182975359
# 2169, 0.6720664901114403
# 2170, 0.8093980579804784
# 2171, 0.8093980579803066
# 2172, 0.7654874038480379
# 2173, 0.7654874038481584
# 2174, 0.8110660104842706
# 2175, 0.8846359323576426
# 2176, 0.7614603725303009
# 2177, 0.7996573008861677
# 2178, 0.7996573008861332
# 2179, 0.9354116373407223
# 2180, 0.7787112786066678
# 2181, 0.7072025604640668
# 2182, 0.70720256046401
# 2183, 0.8279525037568285
# 2184, 0.7057549262473068
# 2185, 0.7925120174389807
# 2186, 0.7925120174389536
# 2187, 0.856919217427558
# 2188, 0.8569192174276195
# 2189, 0.8167745954083387
# 2190, 0.6730891073440459
# 2191, 0.786311724178278
# 2192, 0.8355807249871905
# 2193, 0.8355807249871439
# 2194, 0.722827879401078
# 2195, 0.7228278794009334
# 2196, 0.9064186327772904
# 2197, 0.9108550688031505
# 2198, 0.9108550688031436
# 2199, 0.710245275406919
# 2200, 0.7102452754069275
# 2201, 0.6783410638342232
# 2202, 0.6783410638341899
# 2203, 0.9554368124798335
# 2204, 0.9315265851916115
# 2205, 0.9315265851916105
# 2206, 0.9066624747332653
# 2207, 0.9198211715258402
# 2208, 0.9365199415958988
# 2209, 0.9365199415958902
# 2210, 3
# 2211, 0.909917274701113
# 2212, 0.9228891602108423
# 2213, 0.9117444991547712
# 2214, 0.9117444991547927
# 2215, 0.7920728290169275
# 2216, 3
# 2217, 3
# 2218, 0.8123707801364086
# 2219, 0.9132920765817354
# 2220, 0.9132920765817352
# 2221, 0.8614652201847823
# 2222, 0.7580819833066665
# 2223, 0.9332385028773815
# 2224, 0.9332385028773889
# 2225, 0.7252298290416059
# 2226, 0.7219978602692912
# 2227, 3
# 2228, 3
# 2229, 0.9237259710004836
# 2230, 0.9237259710005717
# 2231, 0.8460014021887524
# 2232, 0.846001402188868
# 2233, 0.8662670159854228
# 2234, 0.8662670159852828
# 2235, 0.851472474090426
# 2236, 0.8785782365171547
# 2237, 0.7884388358522537
# 2238, 0.8930030514453322
# 2239, 0.8346819654254778
# 2240, 0.8123253352812689
# 2241, 0.8620134461788629
# 2242, 0.8620134461789162
# 2243, 0.8933216703501121
# 2244, 0.8760807117406684
# 2245, 0.8315541961693853
# 2246, 0.8586211767222026
# 2247, 0.8586211767221916
# 2248, 0.8752590096568035
# 2249, 0.5232863964799188
# 2250, 0.7971229123785557
# 2251, 0.7971229123785838
# 2252, 0.8725611320077267
# 2253, 0.659967238428818
# 2254, 0.8362277803133512
# 2255, 0.7899109118598745
# 2256, 0.7899109118599089
# 2257, 0.3768312235860085
# 2258, 0.7290181588281026
# 2259, 0.7290181588279451
# 2260, 0.8845736173202257
# 2261, 0.8842869965574005
# 2262, 0.8842869965574691
# 2263, 0.7000165222133025
# 2264, 0.9117575638704584
# 2265, 0.9117575638704662
# 2266, 0.9114690771496379
# 2267, 0.6761162815332888
# 2268, 0.8079348181530537
# 2269, 0.8079348181530754
# 2270, 0.9363912273458754
# 2271, 0.4511663600963155
# 2272, 0.8054744941035514
# 2273, 0.8831751653926425
# 2274, 3
# 2275, 0.7435964818054597
# 2276, 3
# 2277, 0.9781844696735589
# 2278, 0.8085736639733354
# 2279, 0.9089191281611857
# 2280, 0.7935375570111658
# 2281, 0.7935375570111983
# 2282, 0.9307771266251178
# 2283, 0.5339178795710927
# 2284, 3
# 2285, 0.694681344779283
# 2286, 0.8961439250810087
# 2287, 0.8081582818735665
# 2288, 0.9128951145783534
# 2289, 0.3520512527850719
# 2290, 0.3520512527849985
# 2291, 3
# 2292, 0.7209683697496905
# 2293, 0.9111716261120728
# 2294, 0.6474146903957122
# 2295, 0.6283502459259255
# 2296, 0.8628929366350142
# 2297, 0.8628929366350084
# 2298, 0.8191625205724266
# 2299, 0.8191625205722896
# 2300, 0.6674502107260323
# 2301, 0.833602220657103
# 2302, 0.8336022206570669
# 2303, 0.9071855058452906
# 2304, 0.8521750225502438
# 2305, 0.8521750225504355
# 2306, 0.9315639183714141
# 2307, 0.9315639183716917
# 2308, 0.7834765485581018
# 2309, 0.9251521207216413
# 2310, 0.9032553563897938
# 2311, 0.9032553563897779
# 2312, 0.9105317595954975
# 2313, 0.905034710227179
# 2314, 0.6931114597706673
# 2315, 0.6931114597706491
# 2316, 0.8564771764496933
# 2317, 0.8564771764497607
# 2318, 0.8922206856435266
# 2319, 0.9678643419097931
# 2320, 0.9147948345055705
# 2321, 0.9147948345055595
# 2322, 0.9496237702962058
# 2323, 0.9496237702961986
# 2324, 0.8365641114398213
# 2325, 0.7594461708649536
# 2326, 3
# 2327, 0.7472369876911334
# 2328, 0.9181453641636961
# 2329, 0.918145364163702
# 2330, 0.9693559995893469
# 2331, 0.0
# 2332, 0.9467973830431027
# 2333, 0.8748160968604581
# 2334, 0.9019646524696188
# 2335, 0.9019646524696608
# 2336, 0.4723436475867855
# 2337, 0.9173096662391694
# 2338, 0.9133841508163179
# 2339, 0.9133841508162889
# 2340, 0.9379211887953234
# 2341, 0.9012872324537581
# 2342, 3
# 2343, 0.9225202199180392
# 2344, 0.8764624104787164
# 2345, 0.9258232230250897
# 2346, 0.9258232230250788
# 2347, 0.9317206433965108
# 2348, 0.8008828204822978
# 2349, 0.8817181009732064
# 2350, 0.8626876093082333
# 2351, 0.862687609308206
# 2352, 0.903419193837788
# 2353, 0.943828808990584
# 2354, 0.7927081673055821
# 2355, 0.7927081673055725
# 2356, 0.8250663875576754
# 2357, 0.7817302361189883
# 2358, 0.9481231725474173
# 2359, 0.9481231725474122
# 2360, 0.8900781184223073
# 2361, 0.8419202091442146
# 2362, 0.9302158182772053
# 2363, 0.7790901383961364
# 2364, 0.7790901383961255
# 2365, 0.834040631174343
# 2366, 0.8340406311743587
# 2367, 0.7930433105446633
# 2368, 0.9138316356671533
# 2369, 0.7779879355085358
# 2370, 0.8214105463242891
# 2371, 0.8214105463243053
# 2372, 0.8906084786890174
# 2373, 0.865989641611121
# 2374, 0.8659896416112985
# 2375, 0.9185839747873927
# 2376, 0.8592780712991164
# 2377, 0.815080437949476
# 2378, 0.8736804696385326
# 2379, 0.8736804696388033
# 2380, 0.0
# 2381, 0.9082928897277566
# 2382, 0.8321998273042512
# 2383, 0.8321998273043543
# 2384, 0.33260990522424594
# 2385, 0.9255400915026084
# 2386, 0.8055002195368798
# 2387, 0.8055002195368723
# 2388, 0.9473360884390836
# 2389, 0.8601217737062652
# 2390, 0.8601217737063059
# 2391, 0.7080656013378458
# 2392, 0.9175265283053274
# 2393, 0.8791169024805322
# 2394, 0.8791169024805325
# 2395, 0.7751125090710361
# 2396, 0.6840820285377178
# 2397, 3
# 2398, 3
# 2399, 0.8618935004626379
# 2400, 0.9097022701163185
# 2401, 0.9097022701163375
# 2402, 0.8759471187335458
# 2403, 0.8513555554464269
# 2404, 0.8513555554464348
# 2405, 0.771094573212628
# 2406, 0.7710945732127353
# 2407, 0.869209019453941
# 2408, 0.8819940050070909
# 2409, 0.877155774448619
# 2410, 0.8771557744485988
# 2411, 0.8596854979434801
# 2412, 0.8806226979864035
# 2413, 0.8806226979864086
# 2414, 0.8622358104038848
# 2415, 0.9704676866577872
# 2416, 0.6800732773047011
# 2417, 0.8209835811588592
# 2418, 0.8383749805150549
# 2419, 0.8383749805150826
# 2420, 0.7593647580112453
# 2421, 0.8694901132569502
# 2422, 0.8777194395658686
# 2423, 0.8777194395658973
# 2424, 0.7500256340185893
# 2425, 0.884112327427149
# 2426, 0.8841123274271703
# 2427, 0.0637885117767818
# 2428, 0.8539947240425056
# 2429, 0.9519298582377976
# 2430, 0.7089204800242397
# 2431, 0.8742633440813677
# 2432, 0.8699188790647898
# 2433, 0.8699188790648342
# 2434, 0.8453456982024543
# 2435, 0.7381060232737272
# 2436, 0.8693255930656856
# 2437, 2
# 2438, 2
# 2439, 0.8615565220284942
# 2440, 0.861556522028734
# 2441, 3
# 2442, 0.8556493744263564
# 2443, 0.8556493744264
# 2444, 0.7991744429088286
# 2445, 0.894273737447115
# 2446, 0.9052669200747843
# 2447, 0.9052669200749659
# 2448, 0.8436591628013324
# 2449, 0.9063131780112118
# 2450, 0.3246185330577176
# 2451, 0.32461853305771704
# 2452, 0.8205841539004106
# 2453, 0.8205841539005203
# 2454, 0.7415945861451789
# 2455, 0.9130920069812176
# 2456, 0.913092006981394
# 2457, 0.828005523652789
# 2458, 0.8816801167796182
# 2459, 0.8816801167795499
# 2460, 0.8209488744069786
# 2461, 0.8801518906172957
# 2462, 0.8801518906172865
# 2463, 0.9229884324658729
# 2464, 0.753262544676583
# 2465, 0.7627818259343955
# 2466, 0.8854147239059621
# 2467, 0.88541472390594
# 2468, 0.849277081483401
# 2469, 0.7648546470881186
# 2470, 0.7739435508971098
# 2471, 0.867034651291704
# 2472, 0.8670346512917589
# 2473, 0.8830320185266425
# 2474, 0.8973418984042083
# 2475, 0.8973418984044033
# 2476, 0.8550660873014619
# 2477, 0.8811256312175937
# 2478, 0.9050043506746638
# 2479, 0.8811389848189488
# 2480, 0.8905523395075364
# 2481, 0.921327748562205
# 2482, 0.9213277485621595
# 2483, 0.8480327238790211
# 2484, 0.9039676060455231
# 2485, 0.9039676060459915
# 2486, 0.819434550461084
# 2487, 0.9282553518564475
# 2488, 0.7239978152858164
# 2489, 0.9089441771953065
# 2490, 0.8025768605646421
# 2491, 0.8025768605646375
# 2492, 0.6590511456724137
# 2493, 0.8856673849026723
# 2494, 0.7296857629973686
# 2495, 3
# 2496, 3
# 2497, 0.6480160161067154
# 2498, 3
# 2499, 0.8492017733035939
# 2500, 0.8492017733040136
# 2501, 0.7797943419765196
# 2502, 0.779794341976604
# 2503, 0.8371613629533518
# 2504, 0.9193349755335615
# 2505, 0.7310473688582386
# 2506, 0.7481110210265021
# 2507, 0.7481110210266373
# 2508, 0.7076691180687784
# 2509, 0.9243921966600744
# 2510, 0.9243921966600174
# 2511, 0.7888255835985124
# 2512, 0.5501929954436799
# 2513, 0.694200133944463
# 2514, 0.7510668730436291
# 2515, 0.7510668730436014
# 2516, 0.42385912831566663
# 2517, 0.5977736272541903
# 2518, 0.6458160980169612
# 2519, 0.7822515841473746
# 2520, 0.7822515841474984
# 2521, 0.6146464375086653
# 2522, 0.6151290055751473
# 2523, 0.8494151865324184
# 2524, 0.7334340012495444
# 2525, 0.7334340012496676
# 2526, 0.8785531127496443
# 2527, 2.220446049250313e-16
# 2528, 0.5524254056526692
# 2529, 3
# 2530, 0.450741854691572
# 2531, 0.5570332806719438
# 2532, 0.557033280672314
# 2533, 0.4314577803642524
# 2534, 0.44043665160848944
# 2535, 0.44043665160848855
# 2536, 0.4469574292035433
# 2537, 0.3866266715384402
# 2538, 0.7994145398803248
# 2539, 0.7994145398800097
# 2540, 0.6749175924762012
# 2541, 0.34735864459246224
# 2542, 0.08153631542897521
# 2543, 0.522452872530276
# 2544, 0.5735626521340016
# 2545, 0.5468949336501492
# 2546, 0.5468949336500829
# 2547, 0.5220485555188975
# 2548, 0.33730778341728085
# 2549, 0.5026727636975857
# 2550, 0.37463931603454537
# 2551, 0.6621784080522759
# 2552, 0.6621784080521256
# 2553, 0.8058516251980588
# 2554, 0.6462320306029581
# 2555, 0.6462320306030314
# 2556, 0.006646834343962071
# 2557, 0.6972281052267668
# 2558, 0.6218399697251189
# 2559, 0.3270746055671483
# 2560, 0.6059327529087575
# 2561, 0.6059327529087606
# 2562, 0.6812522608391327
# 2563, 0.6812522608390843
# 2564, 0.3716883037416254
# 2565, 0.723796421813983
# 2566, 0.7949479227347839
# 2567, 0.7949479227348328
# 2568, 0.5689272064237876
# 2569, 0.5689272064237763
# 2570, 0.6008206232680351
# 2571, 0.6008206232680948
# 2572, 0.6152388632557642
# 2573, 0.6152388632557303
# 2574, 0.8414848285232956
# 2575, 0.841484828523287
# 2576, 0.4140898524715343
# 2577, 0.4140898524714737
# 2578, 0.4696122493332423
# 2579, 0.40754948362193133
# 2580, 0.3923899291024706
# 2581, 0.5093472980435272
# 2582, 0.7476178640310667
# 2583, 0.7476178640311022
# 2584, 0.5671808036827044
# 2585, 0.5671808036825562
# 2586, 0.6741201522481739
# 2587, 0.8384338753423869
# 2588, 0.8311570828819277
# 2589, 0.8311570828818747
# 2590, 0.7627085161125695
# 2591, 0.7735799544881744
# 2592, 3
# 2593, 0.7330673178706095
# 2594, 0.7330673178707147
# 2595, 0.8131372333403745
# 2596, 0.8334738936131965
# 2597, 0.8334738936132138
# 2598, 0.8065792436175805
# 2599, 0.8065792436177213
# 2600, 0.8580180313718002
# 2601, 0.8485147986569717
# 2602, 0.18756118497731522
# 2603, 0.7778315157651576
# 2604, 0.63511029634881
# 2605, 0.6351102963487845
# 2606, 0.6909257718952355
# 2607, 0.8689535693169249
# 2608, 0.706395083543261
# 2609, 0.7063950835435445
# 2610, 0.8481922505103051
# 2611, 0.7255585097961648
# 2612, 0.6531339728969789
# 2613, 0.806077806686863
# 2614, 0.7709327667777335
# 2615, 0.009074624468259906
# 2616, 0.00907462446826035
# 2617, 0.7267373499546843
# 2618, 0.5902507247727107
# 2619, 0.5902507247726263
# 2620, 0.5261963223344235
# 2621, 0.8219246087497702
# 2622, 0.597082085973454
# 2623, 0.5970820859734525
# 2624, 0.705940527140926
# 2625, 0.664072716209994
# 2626, 0.6640727162101004
# 2627, 0.6630662216829771
# 2628, 0.6264611328221054
# 2629, 0.6264611328224092
# 2630, 2
# 2631, 0.6331077138728808
# 2632, 0.6653619980294239
# 2633, 0.6496595783134123
# 2634, 0.5662767947206747
# 2635, 0.8630461141083003
# 2636, 0.8630461141081192
# 2637, 0.8828339253084974
# 2638, 0.8828339253087759
# 2639, 0.5363519768380697
# 2640, 0.8420005641121128
# 2641, 0.6965947107588804
# 2642, 3
# 2643, 0.43497929484546294
# 2644, 0.4349792948457457
# 2645, 0.5181648657266913
# 2646, 0.5181648657267324
# 2647, 0.4077496695315421
# 2648, 0.40774966953151925
# 2649, 0.44853228322782135
# 2650, 0.8224911233506427
# 2651, 0.6101498811110113
# 2652, 0.6890944322983898
# 2653, 0.6175587972180248
# 2654, 0.6175587972180792
# 2655, 0.6835594274138022
# 2656, 0.6730376073431756
# 2657, 0.8354991678432808
# 2658, 0.6402816093504236
# 2659, 0.5898205315322087
# 2660, 0.5672675453500733
# 2661, 0.5672675453502694
# 2662, 0.6504703030689982
# 2663, 0.6504703030662172
# 2664, 0.526118513375656
# 2665, 0.4257420941786806
# 2666, 0.48505063037479856
# 2667, 0.8391531946886965
# 2668, 0.8276192172549475
# 2669, 0.7362464830567581
# 2670, 0.7362464830568043
# 2671, 0.5149981578360876
# 2672, 0.4967459461619673
# 2673, 0.7419229168019299
# 2674, 0.7419229168017365
# 2675, 0.7692514893915567
# 2676, 0.7692514893915646
# 2677, 0.7672314918968866
# 2678, 0.7656117277567474
# 2679, 0.6588947602677271
# 2680, 0.6551503137739652
# 2681, 0.5707301252189505
# 2682, 0.5707301252191332
# 2683, 0.7808312394150687
# 2684, 0.7421331188634972
# 2685, 0.7141951868414481
# 2686, 0.7141951868413254
# 2687, 0.4133616114977604
# 2688, 0.6757199245802761
# 2689, 0.8108307432824327
# 2690, 0.8108307432825905
# 2691, 0.5271265124985095
# 2692, 0.7256181078461341
# 2693, 0.7256181078461446
# 2694, 0.8939807229594242
# 2695, 0.8939807229591588
# 2696, 0.7762133340887872
# 2697, 0.4809575390118438
# 2698, 3
# 2699, 0.8395208526832917
# 2700, 0.8395208526832714
# 2701, 0.6371967463370578
# 2702, 0.4067139474071535
# 2703, 0.09906692453713817
# 2704, 0.8978565203114239
# 2705, 0.8270231776345758
# 2706, 0.7872468881243846
# 2707, 0.7872468881250643
# 2708, 0.19279040724654473
# 2709, 0.673887321292278
# 2710, 0.5520774142555012
# 2711, 0.6534859270680267
# 2712, 0.6534859270679708
# 2713, 0.5877728086080025
# 2714, 0.6408709476436262
# 2715, 0.6531299506742265
# 2716, 0.6531299506743196
# 2717, 3
# 2718, 0.624942378320263
# 2719, 0.6641870548370521
# 2720, 0.8099288854511604
# 2721, 0.6688577297040919
# 2722, 0.7305773193573049
# 2723, 0.5439448436446883
# 2724, 0.7322813307995937
# 2725, 0.7603555916056225
# 2726, 0.7603555916055189
# 2727, 0.667908391968201
# 2728, 0.7472377181916611
# 2729, 0.7472377181911845
# 2730, 0.4351855079280559
# 2731, 0.5810696424675907
# 2732, 0.49971361080357946
# 2733, 0.4799813497426586
# 2734, 0.47998134974250173
# 2735, 0.7457929228760983
# 2736, 0.7457929228760364
# 2737, 0.6481762130892894
# 2738, 0.6992974106854
# 2739, 0.6992974106852288
# 2740, 0.728779253734729
# 2741, 3
# 2742, 0.6029513780765703
# 2743, 0.674711724468084
# 2744, 0.588256258856533
# 2745, 0.6759437257174431
# 2746, 0.7743772061210682
# 2747, 0.7743772061212582
# 2748, 0.6326131201510174
# 2749, 0.7453362153674301
# 2750, 0.8940225613675863
# 2751, 3
# 2752, 0.8791509898251463
# 2753, 0.879150989826262
# 2754, 0.7699682758210384
# 2755, 0.9369485773395754
# 2756, 0.9369485773384154
# 2757, 0.8349343939137702
# 2758, 0.717233301178385
# 2759, 0.6305195944490923
# 2760, 0.6305195944490823
# 2761, 0.8512640994297965
# 2762, 0.8617817295131209
# 2763, 0.845112847567979
# 2764, 0.8451128475672014
# 2765, 0.8238955998692936
# 2766, 0.823895599869896
# 2767, 0.7484623098244881
# 2768, 0.8777574970712994
# 2769, 0.7294387969063945
# 2770, 0.8421496468014665
# 2771, 0.8421496468015903
# 2772, 0.913527292210236
# 2773, 0.926175087762561
# 2774, 0.9261750877625575
# 2775, 0.7013197673972795
# 2776, 0.7254563342395646
# 2777, 0.7968762750398679
# 2778, 0.6848160011477805
# 2779, 0.8795757526846774
# 2780, 0.9185687772281399
# 2781, 2.220446049250313e-16
# 2782, 0.9450493334197081
# 2783, 0.959718184354095
# 2784, 0.9597181843540056
# 2785, 0.8114821479351072
# 2786, 1.1102230246251565e-16
# 2787, 0.8441414972442303
# 2788, 0.8441414972442656
# 2789, 0.6829953099029089
# 2790, 0.33445430759765993
# 2791, 0.33445430759766914
# 2792, 0.5418238832769147
# 2793, 0.5898721797650218
# 2794, 0.722484264636118
# 2795, 0.7562911095144573
# 2796, 0.4254224317200088
# 2797, 0.42542243172006045
# 2798, 0.6424596081519514
# 2799, 0.6424596081520115
# 2800, 0.7655018659823329
# 2801, 0.765501865982289
# 2802, 0.8368822078574069
# 2803, 0.8368822078573545
# 2804, 0.5294900207077347
# 2805, 0.5294900207078496
# 2806, 0.33464779528028143
# 2807, 0.5227008958247614
# 2808, 3
# 2809, 0.7489769317775515
# 2810, 0.7489769317775388
# 2811, 0.7336913718310278
# 2812, 0.23085112387077267
# 2813, 0.23085112387071915
# 2814, 0.680567358267491
# 2815, 0.4501289949433731
# 2816, 0.4817950370134575
# 2817, 0.48179503701335147
# 2818, 0.6697486260313502
# 2819, 0.49954236068932234
# 2820, 0.830518979177924
# 2821, 0.7253360044405265
# 2822, 0.8353456244767833
# 2823, 0.8353456244766914
# 2824, 0.6168823000484994
# 2825, 0.7572814601781753
# 2826, 0.8165325779361305
# 2827, 0.8417588137070073
# 2828, 0.6150749062627867
# 2829, 0.6150749062628469
# 2830, 0.812597692317609
# 2831, 0.8151126723945098
# 2832, 0.7718957019136335
# 2833, 0.5868438432973475
# 2834, 0.7147949653579109
# 2835, 3
# 2836, 0.765403745875693
# 2837, 0.7654037458757429
# 2838, 0.7637114730374289
# 2839, 0.930643883048255
# 2840, 0.6266695158666823
# 2841, 0.4489710847287599
# 2842, 0.29382467371940013
# 2843, 0.41107183154115823
# 2844, 0.4110718315411942
# 2845, 0.7057477767871967
# 2846, 0.6597296356610958
# 2847, 0.6597296356611959
# 2848, 0.6127080020105868
# 2849, 0.34493897519771144
# 2850, 0.3449389751977847
# 2851, 0.5093399546749163
# 2852, 0.5093399546746524
# 2853, 0.42391535623444143
# 2854, 0.4239153562345498
# 2855, 0.7570279585796198
# 2856, 0.6373754617177834
# 2857, 0.7369448664150707
# 2858, 0.5721614036382008
# 2859, 0.6951769371392499
# 2860, 0.6790130200381586
# 2861, 0.6790130200378712
# 2862, 0.8347167210038978
# 2863, 0.8347167210033428
# 2864, 0.4801918471177615
# 2865, 0.8368327728594467
# 2866, 0.8368327728593912
# 2867, 0.8862636734977077
# 2868, 0.8862636734977166
# 2869, 0.7499603790764902
# 2870, 0.8222411272057183
# 2871, 0.5268035625456595
# 2872, 0.5268035625457101
# 2873, 0.9330573533878999
# 2874, 0.9330573533879207
# 2875, 0.7250831558248407
# 2876, 0.6420547607570073
# 2877, 0.3005617389524389
# 2878, 0.604506764756162
# 2879, 0.5702765241867319
# 2880, 0.570276524186714
# 2881, 0.4858090974738223
# 2882, 0.6163690850736383
# 2883, 0.6163690850738264
# 2884, 0.667650905100568
# 2885, 0.8510357459343578
# 2886, 0.7614970709473389
# 2887, 0.8951498779765366
# 2888, 0.8231156090820084
# 2889, 0.8231156090818543
# 2890, 0.750125626646295
# 2891, 0.824381051970064
# 2892, 0.8243810519699822
# 2893, 0.7047939473182209
# 2894, 0.6499890693531524
# 2895, 0.6499890693530095
# 2896, 3
# 2897, 0.8948964591444523
# 2898, 0.8189559361980392
# 2899, 0.818955936198029
# 2900, 0.6854672277805158
# 2901, 0.6854672277805611
# 2902, 0.717168368136287
# 2903, 0.713818340934622
# 2904, 0.37473790363652826
# 2905, 0.7501626386952307
# 2906, 3
# 2907, 0.8011156346552167
# 2908, 0.8011156346552029
# 2909, 0.7203823644589362
# 2910, 0.6875951715802706
# 2911, 0.741636018464749
# 2912, 0.6739812921340682
# 2913, 0.6739812921339198
# 2914, 0.8540969765212438
# 2915, 0.8445116242075499
# 2916, 0.7577987909537001
# 2917, 0.7200536739277363
# 2918, 0.7200536739277843
# 2919, 0.9521572787081902
# 2920, 0.9521572787081773
# 2921, 0.7614507613703516
# 2922, 0.761450761370383
# 2923, 0.8537455117657546
# 2924, 3
# 2925, 3
# 2926, 3
# 2927, 0.7115587731878048
# 2928, 0.7115587731876688
# 2929, 0.8287669124563952
# 2930, 0.8799810816083212
# 2931, 0.7837826285771978
# 2932, 0.7389914033652902
# 2933, 0.7664112861797012
# 2934, 0.7664112861797145
# 2935, 0.7517574090252211
# 2936, 0.7933206561432791
# 2937, 0.7341617702638199
# 2938, 0.7063320895965033
# 2939, 0.8495606516747545
# 2940, 0.8495606516746687
# 2941, 0.8680627469934457
# 2942, 0.7912190566181985
# 2943, 0.7912190566181916
# 2944, 0.7403392671792602
# 2945, 0.8981297752052034
# 2946, 0.8981297752052237
# 2947, 0.5894733829038388
# 2948, 0.8519202220324729
# 2949, 3
# 2950, 0.7277452836093293
# 2951, 0.7109490137117955
# 2952, 0.9318836793614365
# 2953, 0.7112842127755292
# 2954, 0.7573097412769068
# 2955, 0.8925492041360344
# 2956, 0.8925492041360217
# 2957, 0.8428681215685991
# 2958, 0.8428681215685927
# 2959, 0.8275722118467818
# 2960, 0.8223588903905661
# 2961, 0.575704546010291
# 2962, 0.5579831854352613
# 2963, 2.220446049250313e-16
# 2964, 0.8646689602968889
# 2965, 0.864668960296912
# 2966, 0.5920769280901033
# 2967, 0.8193789864633688
# 2968, 0.8193789864634572
# 2969, 0.7426329685367635
# 2970, 0.742632968536601
# 2971, 0.821896397321103
# 2972, 0.8218963973209679
# 2973, 0.7877368793743262
# 2974, 0.35688790099013057
# 2975, 0.3568879009901731
# 2976, 0.7617513659753115
# 2977, 0.8951256149100236
# 2978, 0.8305561227350451
# 2979, 0.6314063031626389
# 2980, 0.8503011622223688
# 2981, 0.8503011622223824
# 2982, 0.8451102581519165
# 2983, 0.9322263354029869
# 2984, 0.9322263354030123
# 2985, 0.8178195562280984
# 2986, 0.9439736337614432
# 2987, 0.8084551015960542
# 2988, 0.8681218552030721
# 2989, 0.8681218552030416
# 2990, 0.4285736537198853
# 2991, 0.4285736537199685
# 2992, 0.8097769738512828
# 2993, 0.6682638188280665
# 2994, 0.6682638188281079
# 2995, 3
# 2996, 0.8129613965945346
# 2997, 0.8129613965946179
# 2998, 0.8146558512814268
# 2999, 0.917900539325323
# 3000, 0.9179005393252708
# 3001, 0.94263850336887
# 3002, 0.7467157145453435
# 3003, 0.7467157145452421
# 3004, 0.7525489354529153
# 3005, 0.7522474683667146
# 3006, 0.8988436359579142
# 3007, 0.7830038278185346
# 3008, 0.7879671231960139
# 3009, 0.8721863278233031
# 3010, 0.8721863278231035
# 3011, 0.6378576477841286
# 3012, 0.7008030499131461
# 3013, 0.7008030499134672
# 3014, 0.748661225253189
# 3015, 0.555101633428503
# 3016, 0.555101633428535
# 3017, 0.8747756562252024
# 3018, 0.8747756562252871
# 3019, 0.6307912016740721
# 3020, 0.630791201674088
# 3021, 0.5262412125575193
# 3022, 0.5262412125574372
# 3023, 0.5207481855264586
# 3024, 0.6542377711833054
# 3025, 0.533122151430393
# 3026, 0.6317894437064362
# 3027, 0.8291159012604387
# 3028, 0.6049638125988694
# 3029, 0.6049638125988794
# 3030, 0.6594743539495744
# 3031, 0.4313138384719071
# 3032, 0.7855447190608036
# 3033, 0.7855447190607563
# 3034, 0.7102575867218208
# 3035, 0.7102575867217397
# 3036, 0.7895555736210664
# 3037, 0.8564986503199773
# 3038, 0.81554151398843
# 3039, 3
# 3040, 0.8294277542038254
# 3041, 0.829427754203895
# 3042, 0.6262064021205211
# 3043, 0.7420025831303134
# 3044, 0.7420025831303619
# 3045, 0.7174295809465934
# 3046, 0.7174295809466289
# 3047, 0.5518091061354169
# 3048, 0.5270834979353519
# 3049, 0.5270834979353474
# 3050, 0.9064279070809671
# 3051, 0.8057663588625341
# 3052, 0.745325408265294
# 3053, 0.7453254082653216
# 3054, 0.4354353449742546
# 3055, 0.7463492704824791
# 3056, 0.6172779785351183
# 3057, 0.8139303173159764
# 3058, 0.647530878551049
# 3059, 0.6475308785510383
# 3060, 0.5955150065518544
# 3061, 0.6240432714395965
# 3062, 0.7850674778639575
# 3063, 0.7850674778639746
# 3064, 0.8223939017074035
# 3065, 3
# 3066, 0.6930185769173126
# 3067, 0.6355367646541681
# 3068, 0.743646056081565
# 3069, 0.7164537048230448
# 3070, 0.7164537048230671
# 3071, 0.7205111690137913
# 3072, 0.4132657102654952
# 3073, 0.7420098975180442
# 3074, 0.7420098975180371
# 3075, 0.854823150289154
# 3076, 3
# 3077, 0.6882602402077054
# 3078, 0.5958519664742847
# 3079, 0.4057795115297149
# 3080, 0.8368351912326842
# 3081, 0.7298294670048332
# 3082, 0.7298294670047853
# 3083, 0.4145338508643188
# 3084, 0.5230078655827424
# 3085, 0.916590749461953
# 3086, 0.7920946795222632
# 3087, 0.8106991710820525
# 3088, 0.8283212190246046
# 3089, 0.8283212190245861
# 3090, 0.7653052483482776
# 3091, 0.8256990788081132
# 3092, 0.8256990788080654
# 3093, 0.6689991737582865
# 3094, 0.7878998827891206
# 3095, 0.5227871171861755
# 3096, 0.522787117186193
# 3097, 3
# 3098, 3
# 3099, 0.37544318347247685
# 3100, 0.6626107286037093
# 3101, 0.904130894349495
# 3102, 0.9041308943494881
# 3103, 0.8565872861928877
# 3104, 0.8565872861929054
# 3105, 0.7338198098320645
# 3106, 0.9577309108104396
# 3107, 0.5567993005838379
# 3108, 0.5567993005838544
# 3109, 0.7231064410752629
# 3110, 0.9012637958722202
# 3111, 0.9012637958723344
# 3112, 0.9356193440136192
# 3113, 0.637386059526033
# 3114, 0.6373860595259917
# 3115, 0.6513338729715779
# 3116, 0.9318307218870825
# 3117, 0.9318307218871268
# 3118, 0.34756225493871473
# 3119, 0.3475622549387193
# 3120, 0.6912410557961894
# 3121, 0.6912410557963096
# 3122, 0.7582491793206592
# 3123, 0.7582491793204189
# 3124, 0.7730338224994205
# 3125, 0.9137635409337534
# 3126, 0.85529286458107
# 3127, 0.9080905381689987
# 3128, 0.5747852437873356
# 3129, 0.7445252386440386
# 3130, 0.744525238644066
# 3131, 0.7705569960386184
# 3132, 0.9008449770663666
# 3133, 0.8855220863004672
# 3134, 0.885522086300437
# 3135, 0.6683540945546683
# 3136, 0.8761650093702922
# 3137, 0.7359408715132993
# 3138, 0.7359408715132667
# 3139, 0.7563254242256954
# 3140, 0.871543523555258
# 3141, 3
# 3142, 3
# 3143, 0.8682638044786314
# 3144, 0.8682638044785481
# 3145, 3
# 3146, 0.8124495556123436
# 3147, 0.8124495556122843
# 3148, 0.4312156410204947
# 3149, 0.8213574572398997
# 3150, 0.821357457239886
# 3151, 0.7202175219294937
# 3152, 0.9009089688232108
# 3153, 0.9009089688230998
# 3154, 0.4505258494785419
# 3155, 0.4505258494785087
# 3156, 0.5601169628046938
# 3157, 0.5601169628047491
# 3158, 0.6129774080861995
# 3159, 0.7220489467861753
# 3160, 0.7220489467864001
# 3161, 0.7240263725297329
# 3162, 0.7240263725297847
# 3163, 0.726148650727045
# 3164, 0.7071334229022905
# 3165, 0.5689887840008621
# 3166, 0.5689887840006012
# 3167, 0.7225169240497991
# 3168, 0.5220001105845461
# 3169, 0.6107365105976088
# 3170, 0.5275943205194221
# 3171, 0.599186731433796
# 3172, 0.602473701396356
# 3173, 0.6024737013963575
# 3174, 0.7276171248727212
# 3175, 0.7356409366862511
# 3176, 0.7356409366861876
# 3177, 0.7053506010438197
# 3178, 0.8054625433697087
# 3179, 0.06043004611797376
# 3180, 0.5329521864561626
# 3181, 0.8559551303977224
# 3182, 0.8559551303980473
# 3183, 0.20226948322112015
# 3184, 0.8527200035847704
# 3185, 0.8527200035846909
# 3186, 3
# 3187, 3
# 3188, 0.5636838799663031
# 3189, 3
# 3190, 0.71815083579181
# 3191, 0.7181508357917668
# 3192, 0.5662676950644487
# 3193, 0.5662676950644665
# 3194, 0.6366412376926064
# 3195, 0.641618242253863
# 3196, 0.641618242253936
# 3197, 0.4837749014125239
# 3198, 0.4837749014125243
# 3199, 0.5360986953265072
# 3200, 0.46081623140441363
# 3201, 0.2191057055820037
# 3202, 0.7583364220041662
# 3203, 0.7583364220041626
# 3204, 0.5178075292088742
# 3205, 0.6000528065053088
# 3206, 0.6000528065053099
# 3207, 0.4561265126463564
# 3208, 0.6028406333888991
# 3209, 0.6028406333888887
# 3210, 0.9529854591943782
# 3211, 0.4647479622416725
# 3212, 0.6106503929564929
# 3213, 0.6106503929564648
# 3214, 0.4592288031006905
# 3215, 0.7669691729279535
# 3216, 0.7669691729279453
# 3217, 0.33217696102800376
# 3218, 0.7515970545361651
# 3219, 0.7515970545362237
# 3220, 0.7120126563671823
# 3221, 0.7034586415230007
# 3222, 0.7313865193983345
# 3223, 0.731386519398346
# 3224, 0.6762504967487433
# 3225, 0.676250496748736
# 3226, 0.23161787189024574
# 3227, 0.7394320242974013
# 3228, 0.7774100553825692
# 3229, 0.6574322481456774
# 3230, 0.6266057800962317
# 3231, 0.7181916845210092
# 3232, 0.7181916845210315
# 3233, 0.7714809803960865
# 3234, 3
# 3235, 0.8250031617884996
# 3236, 0.8250031617885403
# 3237, 0.6719036529825306
# 3238, 0.6601763139773436
# 3239, 0.6256878158357728
# 3240, 0.7736543052869813
# 3241, 0.7736543052869507
# 3242, 0.8327527977076913
# 3243, 0.8327527977078519
# 3244, 0.678748740763657
# 3245, 0.6466856408128323
# 3246, 0.7671775198400788
# 3247, 0.7671775198401022
# 3248, 0.5896722949126822
# 3249, 0.49375191907571425
# 3250, 0.7375443107041854
# 3251, 0.6798933741189818
# 3252, 0.7433549990613451
# 3253, 0.8200195541035143
# 3254, 0.8200195541035362
# 3255, 0.8169607179892925
# 3256, 0.8169607179893417
# 3257, 0.6147851556708275
# 3258, 0.335046760104449
# 3259, 0.7893344498057127
# 3260, 0.5695359103056071
# 3261, 0.8451091865170395
# 3262, 0.7273183371886374
# 3263, 0.8436824717183239
# 3264, 3
# 3265, 0.8374234769204217
# 3266, 0.8374234769204497
# 3267, 0.7169085164411744
# 3268, 0.7262229919522012
# 3269, 0.6958619385635344
# 3270, 3
# 3271, 0.8238485257132298
# 3272, 1.1102230246251565e-16
# 3273, 0.7013358796578715
# 3274, 0.7932833430227315
# 3275, 0.7141792901647008
# 3276, 0.8829954762236807
# 3277, 0.874728675284794
# 3278, 0.8747286752847943
# 3279, 0.6856492130865436
# 3280, 0.5396627960689235
# 3281, 0.5396627960689127
# 3282, 0.7652152026001631
# 3283, 0.8712594241180998
# 3284, 0.871259424118068
# 3285, 0.8197482758515917
# 3286, 0.7968618596573958
# 3287, 0.7302304659525929
# 3288, 0.7302304659525632
# 3289, 0.4240545632447803
# 3290, 0.6169440655609335
# 3291, 0.557194321418125
# 3292, 0.871720728959851
# 3293, 0.8717207289598653
# 3294, 0.7342961931556599
# 3295, 0.6549450688804157
# 3296, 0.6549450688803429
# 3297, 0.6045808460334781
# 3298, 0.604580846033528
# 3299, 0.5149866256492013
# 3300, 0.6122601112508587
# 3301, 0.5822863020170175
# 3302, 0.7340545352313522
# 3303, 0.7307882359899425
# 3304, 0.730788235989887
# 3305, 0.08730280659994594
# 3306, 0.8345970509959171
# 3307, 0.8345970509955575
# 3308, 3
# 3309, 3
# 3310, 0.6120469188505164
# 3311, 0.6120469188503244
# 3312, 0.7922576538350512
# 3313, 0.7922576538350883
# 3314, 0.721548998772468
# 3315, 0.8372729119950306
# 3316, 0.8372729119950097
# 3317, 0.8009890117471258
# 3318, 0.6531367018380368
# 3319, 0.7709785058589214
# 3320, 0.6792092158925928
# 3321, 0.6465153057023769
# 3322, 0.6465153057024438
# 3323, 0.5300981930202429
# 3324, 0.5300981930202415
# 3325, 0.5914156746798602
# 3326, 0.7973148121030864
# 3327, 0.7890651732562626
# 3328, 0.8804140947735328
# 3329, 0.8804140947736622
# 3330, 0.8067884319249619
# 3331, 0.8067884319249927
# 3332, 0.4914498139029242
# 3333, 0.10133012704076827
# 3334, 0.863063631222875
# 3335, 0.86306363122291
# 3336, 0.5477630294320084
# 3337, 0.5214773306291818
# 3338, 0.5214773306291303
# 3339, 0.481407950587316
# 3340, 0.7072733301917566
# 3341, 0.7072733301917744
# 3342, 0.8539735198641338
# 3343, 0.906565363114797
# 3344, 0.9438393213875675
# 3345, 0.7556038487892889
# 3346, 0.7588972461806043
# 3347, 0.8342635614866896
# 3348, 0.7286514267389339
# 3349, 0.8206356145902396
# 3350, 0.8862523627109553
# 3351, 0.7363765012616078
# 3352, 0.7363765012616414
# 3353, 0.6814462148304364
# 3354, 0.7063894598121423
# 3355, 0.7063894598122114
# 3356, 0.6263009256532073
# 3357, 0.8899330492615655
# 3358, 0.7328463337897954
# 3359, 0.5776227519957509
# 3360, 0.577622751995778
# 3361, 0.8722052046161599
# 3362, 0.8722052046160989
# 3363, 0.8717612570624722
# 3364, 0.8717612570624599
# 3365, 0.7428975849258428
# 3366, 0.7670912409515895
# 3367, 0.7670912409516376
# 3368, 3
# 3369, 0.792103727995044
# 3370, 0.7921037279950245
# 3371, 3
# 3372, 0.5637183708427711
# 3373, 0.7538058892239026
# 3374, 0.7538058892238356
# 3375, 0.4352335073755773
# 3376, 0.5773056975260651
# 3377, 0.46311067000221595
# 3378, 0.4631106700022095
# 3379, 0.13095385252853997
# 3380, 0.4485245519739609
# 3381, 0.7942807357687963
# 3382, 0.7942807357687934
# 3383, 0.39052371473997305
# 3384, 0.579979074830334
# 3385, 0.8350122218587008
# 3386, 0.940775824513092
# 3387, 0.8229372916373068
# 3388, 0.8229372916375042
# 3389, 0.7002421166333765
# 3390, 0.7957933007929047
# 3391, 0.566215658550831
# 3392, 0.5734853846808989
# 3393, 0.5734853846808676
# 3394, 0.7436184380626496
# 3395, 0.743618438062631
# 3396, 0.769865681213547
# 3397, 0.7970696222502416
# 3398, 0.7970696222502451
# 3399, 0.8361582078612196
# 3400, 0.8342533030948216
# 3401, 0.834253303094821
# 3402, 0.7993176054242743
# 3403, 0.7393471512532671
# 3404, 0.7085802444233312
# 3405, 0.7664116178955396
# 3406, 0.8230915964325475
# 3407, 0.8230915964326042
# 3408, 0.6950238338782238
# 3409, 0.8196230431408186
# 3410, 0.7559770804910271
# 3411, 0.6749855761340131
# 3412, 0.674985576133957
# 3413, 0.6199177251186601
# 3414, 0.6911094173816759
# 3415, 0.03452828705996758
# 3416, 0.6366822494761226
# 3417, 0.63668224947608
# 3418, 0.6366170727206848
# 3419, 0.7206141007992999
# 3420, 0.5813590971010587
# 3421, 0.7586068862086728
# 3422, 0.7586068862087674
# 3423, 0.30113830639761363
# 3424, 0.3011383063976637
# 3425, 0.6005083284329055
# 3426, 0.6005083284327936
# 3427, 0.5976242981207969
# 3428, 0.5976242981207938
# 3429, 0.7956589478271517
# 3430, 0.7956589478273106
# 3431, 0.5476443086685343
# 3432, 0.7787932040786864
# 3433, 0.7787932040786549
# 3434, 0.6648627285958404
# 3435, 0.6648627285958078
# 3436, 0.7243580735751072
# 3437, 0.7243580735753392
# 3438, 0.6965520216665667
# 3439, 0.6965520216665666
# 3440, 0.5850981834336804
# 3441, 0.5934934721668883
# 3442, 0.6552707260680455
# 3443, 0.7384822625458454
# 3444, 0.6714239460296402
# 3445, 0.6714239460296774
# 3446, 0.6551687288018779
# 3447, 0.8734962896150993
# 3448, 0.8840735758359837
# 3449, 0.757758408133557
# 3450, 0.7132275575898492
# 3451, 0.7132275575898233
# 3452, 0.7853821361944971
# 3453, 0.6748914723910243
# 3454, 0.6837627648908184
# 3455, 2
# 3456, 2.220446049250313e-16
# 3457, 0.09626748858282819
# 3458, 0.09963664202528011
# 3459, 0.9473518107618735
# 3460, 0.9337559312967514
# 3461, 0.9337559312967632
# 3462, 0.9083807173241576
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# 3466, 0.9019707980196858
# 3467, 0.9019707980196943
# 3468, 0.8614981905303365
# 3469, 0.8587895886339674
# 3470, 0.8832989455296437
# 3471, 0.7698433963286517
# 3472, 0.6756855541267902
# 3473, 0.6756855541273302
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# 3476, 0.6021674157114387
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# 3478, 0.6185424593048006
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# 3482, 0.5932884951358675
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# 3484, 0.7894516829037628
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# 3486, 0.44956774334581195
# 3487, 0.6111790464679738
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# 3489, 0.7413285894883632
# 3490, 0.7413285894881656
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# 3492, 0.9882456582747703
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# 3497, 0.7894282642668892
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# 3503, 0.8041162072905788
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# 3505, 0.8410947096630922
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# 3507, 0.7184941965547632
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# 3518, 0.8940414382009735
# 3519, 0.7576921771383157
# 3520, 0.7576921771382994
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# 3522, 0.673040708650556
# 3523, 0.8981669751523149
# 3524, 0.8981669751522966
# 3525, 0.06994440016401449
# 3526, 0.6530679084274018
# 3527, 0.7774412318319656
# 3528, 0.03827336634334566
# 3529, 0.8571971225280112
# 3530, 0.8571971225280584
# 3531, 0.023577187020786816
# 3532, 0.5314645074487512
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# 3535, 0.6999712889914895
# 3536, 0.7798731729440611
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# 3539, 0.5040176462523047
# 3540, 0.845038535091183
# 3541, 0.8450385350911702
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# 3543, 0.9580362585192614
# 3544, 0.7525344023843619
# 3545, 0.7525344023843078
# 3546, 0.4406266341107732
# 3547, 0.8173012370419157
# 3548, 0.6169778753307344
# 3549, 0.6772138322144119
# 3550, 0.6772138322144381
# 3551, 0.6755920268692741
# 3552, 0.7783731649766485
# 3553, 0.7783731649766312
# 3554, 0.6678395790022134
# 3555, 0.7491614025456689
# 3556, 0.749161402545623
# 3557, 0.660641688234576
# 3558, 0.8475689489855411
# 3559, 0.7155225305903058
# 3560, 0.8002748367062384
# 3561, 0.8002748367062472
# 3562, 0.899455508004138
# 3563, 0.5093436909742369
# 3564, 0.509343690974229
# 3565, 3
# 3566, 0.6393976931661893
# 3567, 0.38395950695136793
# 3568, 0.8145164141857988
# 3569, 0.29265116437761496
# 3570, 0.8509482516245546
# 3571, 0.25824681770128133
# 3572, 0.25824681770127966
# 3573, 0.8531138341652006
# 3574, 0.0
# 3575, 0.8940446442372623
# 3576, 0.8669063988640909
# 3577, 0.8911941923225869
# 3578, 0.028616369636032202
# 3579, 0.8492592353233079
# 3580, 0.9418860560823572
# 3581, 0.9001024088711231
# 3582, 0.18349743387503303
# 3583, 0.18349743387523432
# 3584, 0.839227290151125
# 3585, 0.8392272901510971
# 3586, 0.8187447758180538
# 3587, 0.9089891039124884
# 3588, 0.8549040812105629
# 3589, 0.814188811160944
# 3590, 3
# 3591, 0.9620620282416488
# 3592, 0.7882912597855257
# 3593, 0.7882912597854176
# 3594, 0.908766560183977
# 3595, 0.42450619858630334
# 3596, 0.8798815573984755
# 3597, 0.8076318130991322
# 3598, 0.41997782893329705
# 3599, 0.31317578915955824
# 3600, 0.15620963793365017
# 3601, 0.9140949969287646
# 3602, 0.9140949969286529
# 3603, 0.6753340065982765
# 3604, 0.9693139179146322
# 3605, 0.9412527565597646
# 3606, 0.9412527565596471
# 3607, 0.17499546215552786
# 3608, 0.28289474202975673
# 3609, 0.2828947420296818
# 3610, 0.30624435222040036
# 3611, 0.3062443522204821
# 3612, 0.18817155973243915
# 3613, 0.18817155973242727
# 3614, 0.9709695558925108
# 3615, 0.9709695558924155
# 3616, 0.9266243081019657
# 3617, 0.9444285605849784
# 3618, 0.9444285605849059
# 3619, 0.8786700684239079
# 3620, 0.910179434535984
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# 3622, 0.7691038440557068
# 3623, 0.6769402564132022
# 3624, 0.6769402564128143
# 3625, 0.8850446654176778
# 3626, 0.885044665417806
# 3627, 0.7999678876553
# 3628, 0.8236012623515081
# 3629, 0.7824248249443153
# 3630, 0.7523496733814686
# 3631, 0.7700692232523141
# 3632, 0.7700692232503288
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# 3634, 0.8202612440781252
# 3635, 0.8202612440785989
# 3636, 0.7443572511707048
# 3637, 0.7467342275750587
# 3638, 0.5656189395842173
# 3639, 0.8309455476857689
# 3640, 0.8309455476858768
# 3641, 0.486500809524936
# 3642, 0.30165931181674266
# 3643, 0.3016593118167339
# 3644, 0.5683527888885822
# 3645, 0.623132634725113
# 3646, 0.623132634725009
# 3647, 0.8810268001983204
# 3648, 0.7186508645513539
# 3649, 0.7186508645514644
# 3650, 0.8819748165993512
# 3651, 0.8819748165995451
# 3652, 0.790780148210636
# 3653, 0.7618403783971057
# 3654, 3
# 3655, 0.7330520981477324
# 3656, 0.874364562022262
# 3657, 0.8743645620222578
# 3658, 0.8217559446554079
# 3659, 0.7065617534783336
# 3660, 0.7606564469732054
# 3661, 0.7606564469731312
# 3662, 0.7797769284383304
# 3663, 0.8528050105410692
# 3664, 0.8528050105413549
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# 3666, 0.7399696101332469
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# 3671, 0.8213951282634756
# 3672, 0.9522170992431604
# 3673, 0.9522170992430579
# 3674, 0.3283697507746095
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# 3676, 0.38672120025257106
# 3677, 0.3526561451570728
# 3678, 0.8215907418179592
# 3679, 0.8215907418181074
# 3680, 0.7498527881412986
# 3681, 0.7241500247532799
# 3682, 0.7241500247533244
# 3683, 0.8582939092461138
# 3684, 0.9525615387417969
# 3685, 0.9525615387417674
# 3686, 0.7670270489439961
# 3687, 0.5238713608922889
# 3688, 0.5238713608923123
# 3689, 0.7349240184164972
# 3690, 0.7319161907955132
# 3691, 0.7319161907954843
# 3692, 0.08834989036866558
# 3693, 0.7915392365886755
# 3694, 0.8170768336547563
# 3695, 0.9224497975824253
# 3696, 0.8351993396360431
# 3697, 0.8351993396360927
# 3698, 0.7042111538810598
# 3699, 0.8181323100335197
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# 3702, 0.8542179141766801
# 3703, 0.7783103498167032
# 3704, 0.7783103498167179
# 3705, 0.7618117664356462
# 3706, 0.6460947977918328
# 3707, 0.8833206334528781
# 3708, 0.43694928850113046
# 3709, 0.4369492885009961
# 3710, 0.8737806593788267
# 3711, 0.8737806593788083
# 3712, 0.37306896802762135
# 3713, 0.7869696328361787
# 3714, 0.7869696328361127
# 3715, 0.3095352798320594
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# 3718, 0.6106322832686357
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# 3727, 0.26341526687833583
# 3728, 0.06084800266748469
# 3729, 0.1149420130450498
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# 3732, 0.15601387791254695
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# 3735, 0.06511495032383163
# 3736, 0.06511495032383718
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# 3739, 0.6173356539841782
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# 3743, 0.7882590223304295
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# 3748, 0.8452382229391596
# 3749, 0.8421143005344067
# 3750, 0.8421143005345204
# 3751, 0.7149371028980445
# 3752, 3
# 3753, 0.5574667268721202
# 3754, 0.7254986873261458
# 3755, 0.7254986873261717
# 3756, 0.412189572238564
# 3757, 0.8762165566903908
# 3758, 0.6703743278578355
# 3759, 0.6703743278574006
# 3760, 0.6638262039224989
# 3761, 0.6638262039224843
# 3762, 0.8058609964735699
# 3763, 0.8432091187691759
# 3764, 0.8119637691499674
# 3765, 0.36326899813358193
# 3766, 0.36326899813362035
# 3767, 0.8156033828609581
# 3768, 0.6276332849916344
# 3769, 0.8375127396602353
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# 3771, 0.8221609512957572
# 3772, 0.840879417594264
# 3773, 0.7712015039846488
# 3774, 0.7712015039847999
# 3775, 0.6639458916220061
# 3776, 0.7437743748405468
# 3777, 0.7437743748403902
# 3778, 0.581677444653822
# 3779, 0.5816774446538806
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# 3781, 0.8193679154403055
# 3782, 0.5587742059282252
# 3783, 0.5587742059279586
# 3784, 0.7649769159943431
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# 3786, 0.8780630863517701
# 3787, 0.7057097377899555
# 3788, 0.8669508457530566
# 3789, 0.8223223895637399
# 3790, 0.7373263034541233
# 3791, 0.7373263034541742
# 3792, 0.7693337926614698
# 3793, 0.8544494145887948
# 3794, 0.8544494145888827
# 3795, 0.6111447779808854
# 3796, 0.7688528159994026
# 3797, 0.634585948577548
# 3798, 0.7056194681589993
# 3799, 3
# 3800, 0.8253879218336329
# 3801, 0.8253879218336658
# 3802, 0.6821821801724524
# 3803, 0.593316323693963
# 3804, 0.5933163236942252
# 3805, 3
# 3806, 0.34569167849381
# 3807, 0.6743513344899403
# 3808, 0.6743513344900354
# 3809, 0.6167542358945179
# 3810, 0.2801273851042748
# 3811, 0.728816314754476
# 3812, 0.06576335769437647
# 3813, 0.5558572964859949
# 3814, 0.555857296486341
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# 3816, 0.7018918365887326
# 3817, 0.701891836588752
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# 3819, 0.7080261747504347
# 3820, 0.35111532052399674
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# 3822, 0.4029253698561054
# 3823, 0.5429231333609492
# 3824, 0.08189311994200577
# 3825, 0.5604597834191793
# 3826, 0.3929114640005451
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# 3828, 0.3858720951070116
# 3829, 0.3858720951070028
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# 3834, 0.6183088454959086
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# 3836, 0.7478821499132606
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# 3841, 0.7048633004843353
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# 3843, 0.15300632190916152
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# 3851, 0.6893082048608932
# 3852, 0.21775592150245748
# 3853, 0.2177559215025341
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# 3855, 0.7544550042955104
# 3856, 0.6296697553133113
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# 3858, 0.0881897846392442
# 3859, 0.31151506145081476
# 3860, 0.7600020719923088
# 3861, 0.7600020719922809
# 3862, 3
# 3863, 0.6208384240614955
# 3864, 0.7022484421494888
# 3865, 0.6537497571198144
# 3866, 0.653749757119551
# 3867, 0.7113470473316952
# 3868, 0.22328108655557344
# 3869, 0.22328108655561762
# 3870, 0.5702072265540823
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# 3872, 0.7010708468265999
# 3873, 0.7010708468266198
# 3874, 0.26602091302392705
# 3875, 0.26602091302384767
# 3876, 0.42850938379119874
# 3877, 0.6245915005435762
# 3878, 0.6073107678160391
# 3879, 0.607310767815532
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# 3881, 0.35956945345082647
# 3882, 0.35956945345102365
# 3883, 0.6087061423257272
# 3884, 0.6138920010790669
# 3885, 0.7050840184063119
# 3886, 0.7050840184053686
# 3887, 0.521680891399152
# 3888, 0.45274283389866843
# 3889, 0.7417666709522006
# 3890, 0.7417666709523981
# 3891, 0.5980410112825059
# 3892, 0.7400417168370204
# 3893, 0.7400417168364606
# 3894, 0.5166237252291015
# 3895, 0.8035489610044418
# 3896, 0.8035489610035011
# 3897, 3
# 3898, 3
# 3899, 3
# 3900, 0.4877143802596121
# 3901, 0.48771438025882474
# 3902, 0.6030722536233692
# 3903, 0.617020515769134
# 3904, 0.6509248377334302
# 3905, 0.7093822126229922
# 3906, 0.7093822126211662
# 3907, 0.6872109277463732
# 3908, 0.7577590289391727
# 3909, 0.7577590289352578
# 3910, 0.025723692140187215
# 3911, 0.025723692140187215
# 3912, 0.7824702290816722
# 3913, 0.7824702290787356
# 3914, 0.819074939829157
# 3915, 0.6616912121643781
# 3916, 0.6616912121638379
# 3917, 0.7948622983365349
# 3918, 0.8664105268356024
# 3919, 0.8811139821280327
# 3920, 0.8811139821278958
# 3921, 0.8216501849513766
# 3922, 0.8648856011197016
# 3923, 0.8648856011202177
# 3924, 0.43498609078546546
# 3925, 0.6396194690871086
# 3926, 0.639619469087698
# 3927, 0.7352062095967843
# 3928, 0.7352062095951684
# 3929, 0.06495380898644343
# 3930, 0.7826712156319587
# 3931, 0.8900011365845311
# 3932, 0.8900011365851976
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# 3934, 0.68406829850222
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# 3937, 0.9288952964879943
# 3938, 0.8648758210799472
# 3939, 0.4036253393903704
# 3940, 0.7369249936486404
# 3941, 0.7369249936494136
# 3942, 0.43269833259893065
# 3943, 0.43269833259989643
# 3944, 0.8210844948925288
# 3945, 0.821084494892417
# 3946, 0.708904518568886
# 3947, 0.40435900658208235
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# 3949, 0.7844784267984477
# 3950, 0.7844784267984082
# 3951, 0.4959870548623372
# 3952, 0.49598705486231465
# 3953, 0.5738518428349629
# 3954, 0.6988879318529885
# 3955, 0.923284278791729
# 3956, 0.9232842787921253
# 3957, 0.5778176380840815
# 3958, 0.7314753550977943
# 3959, 0.731475355097567
# 3960, 0.36968713992821467
# 3961, 0.7687222499995762
# 3962, 0.7687222499993868
# 3963, 0.6768620669699894
# 3964, 0.6768620669696409
# 3965, 0.48575818898715817
# 3966, 0.2031924467912115
# 3967, 0.2031924467910875
# 3968, 0.3987668741894701
# 3969, 0.6251780114059018
# 3970, 0.6923931101179954
# 3971, 0.69239311011809
# 3972, 0.4971751463916072
# 3973, 0.8067263112410015
# 3974, 0.8067263112408807
# 3975, 0.7201999743820546
# 3976, 0.7201999743821371
# 3977, 0.5602291422232607
# 3978, 0.3500050958622569
# 3979, 3
# 3980, 0.618806356629499
# 3981, 0.6188063566296024
# 3982, 0.47219794257701686
# 3983, 0.4721979425769669
# 3984, 0.25452755409075956
# 3985, 0.2291478200868864
# 3986, 0.433414299768313
# 3987, 0.36824170580765514
# 3988, 0.2363102578174967
# 3989, 0.7425443829330416
# 3990, 0.7927446824203204
# 3991, 0.7927446824209676
# 3992, 0.29544912403820034
# 3993, 0.29544912403817314
# 3994, 0.5351416359337215
# 3995, 0.5993290856915026
# 3996, 0.5993290856913134
# 3997, 0.5957697529987099
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# 3999, 0.774951524689489
# 4000, 0.40569029696024683
# 4001, 0.8343174198508295
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# 4003, 0.10587259954265515
# 4004, 0.5999949215267265
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# 4007, 0.7990872590427588
# 4008, 0.5971018390555314
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# 4010, 0.7959568766154713
# 4011, 0.7959568766148534
# 4012, 0.8335130654421958
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# 4017, 0.5786687948872808
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# 4019, 0.392228581734795
# 4020, 0.7719562461157741
# 4021, 0.2751212028491353
# 4022, 0.40497466681135574
# 4023, 0.357225606138581
# 4024, 0.37593844352677863
# 4025, 0.16609031161676013
# 4026, 0.6711428647369118
# 4027, 0.6711428647366289
# 4028, 0.5946646627107244
# 4029, 0.5946646627104062
# 4030, 0.5105215429730963
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# 4032, 0.7141589226551057
# 4033, 0.5860218489034102
# 4034, 0.38827633191664257
# 4035, 0.9630189043626826
# 4036, 0.9630189043626213
# 4037, 0.5151284170970591
# 4038, 0.8251380628100111
# 4039, 0.516771602776615
# 4040, 0.5167716027767364
# 4041, 0.7203016982162367
# 4042, 0.902496883827585
# 4043, 0.902496883827919
# 4044, 0.878005774730734
# 4045, 0.8780057747309716
# 4046, 0.8237910184806814
# 4047, 0.8237910184808082
# 4048, 0.591775926139277
# 4049, 0.8946698430090056
# 4050, 0.6619158115210404
# 4051, 0.964824196391243
# 4052, 0.9218427152120052
# 4053, 0.7523520098261193
# 4054, 0.5429846079826762
# 4055, 0.5429846079827221
# 4056, 0.5478121134805316
# 4057, 0.962084852771811
# 4058, 0.7468901233169631
# 4059, 0.7468901233165087
# 4060, 0.8305946165405776
# 4061, 0.8305946165407299
# 4062, 0.91747544019471
# 4063, 0.9174754401946316
# 4064, 0.6393379045566709
# 4065, 0.6393379045564712
# 4066, 0.8246337226008543
# 4067, 0.8246337226008291
# 4068, 0.8005439448967513
# 4069, 0.8005439448970002
# 4070, 0.6882970847866836
# 4071, 0.8394737003387399
# 4072, 0.7834727862031395
# 4073, 0.7943872682589456
# 4074, 3
# 4075, 3
# 4076, 0.9137485950663015
# 4077, 0.9137485950659935
# 4078, 0.9159696883547225
# 4079, 0.9159696883565862
# 4080, 0.9011019617508276
# 4081, 0.9011019617506305
# 4082, 0.9527427058244032
# 4083, 0.952742705824598
# 4084, 0.7916578662448466
# 4085, 0.6330004920327064
# 4086, 0.9217211611631471
# 4087, 0.8394639073484343
# 4088, 0.8840360821121354
# 4089, 0.8840360821120132
# 4090, 0.7813214463401441
# 4091, 0.7813214463402971
# 4092, 0.8618522590647003
# 4093, 0.8618522590643519
# 4094, 2
# 4095, 2

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