# Identifications: Torus 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, 1.1102230246251565e-16
# 1, 3.222830612537031e-05
# 2, 0.00018518768128994445
# 3, 0.0001851876812901665
# 4, 8.893295618672692e-05
# 5, 0.00017167451076360862
# 6, 0.0002862232125017128
# 7, 0.00028622321250248994
# 8, 0.000200780920758592
# 9, 0.00019881984987102364
# 10, 0.0005571263839565521
# 11, 0.0022951517196995175
# 12, 0.0022951517196986293
# 13, 0.002387616958102967
# 14, 0.0023876169581036333
# 15, 0.0003833433743922754
# 16, 0.00026798531625094046
# 17, 0.0003112650688600338
# 18, 0.003186414597792786
# 19, 0.0011745562830310918
# 20, 0.0048816469107738625
# 21, 0.0048816469107737515
# 22, 0.00366215039378337
# 23, 0.005646064145649388
# 24, 0.005646064145649277
# 25, 0.0008691073914721681
# 26, 0.0008691073914721681
# 27, 0.002994545992954345
# 28, 0.0013612312038473462
# 29, 0.0006181836074254932
# 30, 0.0012513741623556562
# 31, 0.0012513741623554342
# 32, 0.00409369338530452
# 33, 0.006895285161084175
# 34, 0.006895285161088394
# 35, 0.002098094671573403
# 36, 0.007810743552552846
# 37, 0.0040041096418772515
# 38, 0.0078098372836177266
# 39, 0.007809837283615506
# 40, 0.005487726712087526
# 41, 0.0020830245257009716
# 42, 0.0029603117375145427
# 43, 0.002960311737515431
# 44, 0.0025642974624843218
# 45, 0.0031067537279582114
# 46, 0.006324325926818308
# 47, 0.004743757662519443
# 48, 0.004743757662518777
# 49, 0.005233850299422027
# 50, 0.005233850299421361
# 51, 0.002697655878176053
# 52, 0.009311251250720964
# 53, 0.002541301941148988
# 54, 0.018286641088907207
# 55, 0.018286641088903433
# 56, 0.010953775722159498
# 57, 0.004649913969036246
# 58, 0.004649913969036135
# 59, 0.0069941265652130324
# 60, 0.006878145154251336
# 61, 0.0028042394659021364
# 62, 0.008877961471446372
# 63, 0.008672777635105766
# 64, 0.08380680319549105
# 65, 0.08380680319548384
# 66, 0.006837101652793498
# 67, 0.07953633488916056
# 68, 0.07953633488916068
# 69, 0.0008895272340455618
# 70, 0.03378260200849825
# 71, 0.23791185134787707
# 72, 0.2379118513478925
# 73, 0.00917838779639335
# 74, 0.40087366870868213
# 75, 0.40087366870855357
# 76, 0.1755794228131794
# 77, 0.17557942281317818
# 78, 0.014606885812900705
# 79, 0.018421554455785194
# 80, 0.03398798341484888
# 81, 0.023993629030108155
# 82, 0.01801189237403067
# 83, 0.0408677687523159
# 84, 0.04086776875231157
# 85, 0.020764783038973555
# 86, 0.01748962532888232
# 87, 0.01600569087584347
# 88, 0.007345580950168573
# 89, 0.007345580950168795
# 90, 0.07244035855490527
# 91, 0.1303671000398161
# 92, 0.13036710003981544
# 93, 0.14227995833110207
# 94, 0.25876846299430833
# 95, 0.25876846299427614
# 96, 0.1783091081995316
# 97, 0.09997050688668674
# 98, 0.24274248574835278
# 99, 0.29243949629006605
# 100, 0.2924394962900675
# 101, 0.40748408490048227
# 102, 0.40748408490053634
# 103, 0.2997916342950224
# 104, 0.2503928934942673
# 105, 0.3588432236764312
# 106, 0.37479963740263844
# 107, 0.3747996374027375
# 108, 0.216243484414409
# 109, 0.217526504540432
# 110, 0.19930273453801595
# 111, 0.35043644644604544
# 112, 0.36901491700651845
# 113, 0.36901491700637623
# 114, 0.010739287809013565
# 115, 0.010739287809012565
# 116, 0.31054975563010434
# 117, 0.31054975563011356
# 118, 0.09231944740266351
# 119, 0.0136542351530623
# 120, 0.5121929497498976
# 121, 0.5121929497498998
# 122, 0.24296672298225042
# 123, 0.33996118472818093
# 124, 0.4557564464120458
# 125, 0.45575644641205226
# 126, 0.17306031807319877
# 127, 0.4329677394408593
# 128, 0.14076231138569495
# 129, 0.14076231138568163
# 130, 0.0
# 131, 0.17232777508582753
# 132, 0.004999943466274859
# 133, 0.06287660199009404
# 134, 0.08654700753638023
# 135, 0.060943108073085894
# 136, 0.06094310807308845
# 137, 0.06611927927110994
# 138, 0.07209063322529663
# 139, 0.07209063322528841
# 140, 0.15408771963431012
# 141, 0.04192305396088025
# 142, 0.10993032587773488
# 143, 0.08661378380202256
# 144, 0.06947023315679346
# 145, 0.06947023315679857
# 146, 0.3216421162076726
# 147, 0.3216421162076277
# 148, 0.10618494026030945
# 149, 0.2325743014471786
# 150, 0.2131322600566653
# 151, 0.23156240086383373
# 152, 0.2880498792478793
# 153, 0.28804987924786274
# 154, 0.10067165746102968
# 155, 0.3595356751095623
# 156, 0.3595356751095258
# 157, 0.07602356729409299
# 158, 0.23175385740242171
# 159, 0.13386307814911025
# 160, 0.2789151604792207
# 161, 0.3749484761616205
# 162, 0.37494847616158355
# 163, 0.3172278328413365
# 164, 0.28134304567661905
# 165, 0.2841637825457799
# 166, 0.28416378254593533
# 167, 0.48496613099938335
# 168, 0.4849661309994029
# 169, 0.30644573431278777
# 170, 0.5399488697944881
# 171, 0.5399488697944621
# 172, 0.5469287112141981
# 173, 0.026635378676369115
# 174, 0.2508332152600816
# 175, 0.33435684327593307
# 176, 0.24179489926886233
# 177, 0.241794899268869
# 178, 0.37788632321193527
# 179, 0.382742668883158
# 180, 0.5284349223239782
# 181, 0.5284349223239636
# 182, 0.3079708711330197
# 183, 0.44557812845163813
# 184, 0.44557812845171596
# 185, 0.699564300717741
# 186, 0.6787732943008076
# 187, 0.678773294300808
# 188, 0.6282393980758988
# 189, 0.6450455999436451
# 190, 0.461408980694349
# 191, 0.5323917747938844
# 192, 0.11164533654345299
# 193, 0.6706828380687184
# 194, 0.6706828380687375
# 195, 0.3909947338052038
# 196, 0.4892931556567892
# 197, 0.48929315565680565
# 198, 0.007208422818863691
# 199, 0.007208422818863691
# 200, 0.2706936430949691
# 201, 0.27069364309489685
# 202, 0.5944136572863669
# 203, 0.6341933907065239
# 204, 0.31703431716376806
# 205, 0.6324085586174385
# 206, 0.6324085586172876
# 207, 3
# 208, 0.5516903915568567
# 209, 0.5516903915566771
# 210, 0.20840859115381483
# 211, 0.17809178358337718
# 212, 0.1780917835833783
# 213, 0.27667737274476345
# 214, 0.3556385541104734
# 215, 0.2679571599502455
# 216, 0.4222173877614026
# 217, 0.3382155535039073
# 218, 0.3382155535039134
# 219, 0.18063652181624001
# 220, 0.31698604932513774
# 221, 0.2650115990823084
# 222, 0.26501159908229677
# 223, 0.041607110044105555
# 224, 0.4502335328329581
# 225, 0.5225093981958813
# 226, 0.409442353965604
# 227, 0.40944235396560935
# 228, 2.220446049250313e-16
# 229, 0.301251410426862
# 230, 0.08688381031665648
# 231, 0.08688381031665982
# 232, 0.3163555881189244
# 233, 0.3751751444599769
# 234, 0.3751751444599637
# 235, 0.33269447603470415
# 236, 0.29767341485811893
# 237, 0.45103452787375
# 238, 0.45103452787376774
# 239, 0.4777656401107999
# 240, 0.23350429451914267
# 241, 0.39957878785096657
# 242, 0.6016196177399603
# 243, 0.6016196177399553
# 244, 0.24938855413883854
# 245, 0.42445806641939
# 246, 0.5060506389170283
# 247, 0.506050638917106
# 248, 0.4735924201558043
# 249, 0.5625410338916852
# 250, 0.5625410338917012
# 251, 0.3596059533796848
# 252, 0.4015534246392699
# 253, 0.1329659533925205
# 254, 0.5192660386676033
# 255, 0.5192660386675837
# 256, 0.22327846933853057
# 257, 0.5764398020154952
# 258, 0.498189138283307
# 259, 0.4038499048630241
# 260, 0.4038499048630505
# 261, 0.2808503672235415
# 262, 0.22751538005183836
# 263, 0.22751538005184035
# 264, 0.43008834795104656
# 265, 0.5914003443608411
# 266, 0.5914003443608482
# 267, 0.36044177032326663
# 268, 0.29473506915147496
# 269, 0.7310382834462779
# 270, 0.6594132574361792
# 271, 0.6594132574361536
# 272, 0.19119663186930846
# 273, 0.19119663186932878
# 274, 0.44744508263018445
# 275, 0.5157172742682279
# 276, 0.4908862021185256
# 277, 0.4914824378743522
# 278, 0.6120243658823203
# 279, 0.6120243658823308
# 280, 0.17799747428250545
# 281, 0.46144308829226455
# 282, 0.4614430882922598
# 283, 0.37704740399835524
# 284, 0.5417166529325433
# 285, 0.5417166529325226
# 286, 0.25718031505344574
# 287, 0.49588299813046943
# 288, 0.4958829981304729
# 289, 0.3193500026095961
# 290, 0.09688466075780233
# 291, 0.3840758117795876
# 292, 0.4677443889600599
# 293, 0.46774438896009973
# 294, 0.1356552069159137
# 295, 0.20070612382969455
# 296, 0.2532504421684888
# 297, 0.14405247849382208
# 298, 0.23672281818086482
# 299, 0.45646966762144026
# 300, 0.5501732382819574
# 301, 0.5501732382819552
# 302, 0.4199684480483521
# 303, 0.5653793652642096
# 304, 0.5653793652641791
# 305, 0.35471801750460974
# 306, 0.4916522579326309
# 307, 0.27024105852773916
# 308, 0.38523605483927126
# 309, 0.38523605483924916
# 310, 0.14912272891031297
# 311, 0.1491227289103133
# 312, 0.3113460497581406
# 313, 0.31134604975816893
# 314, 0.4632548519858589
# 315, 0.45758815336692504
# 316, 0.6205264730955653
# 317, 0.6205264730955768
# 318, 0.24428205757403176
# 319, 0.30974944126970116
# 320, 0.37255725515710136
# 321, 0.37255725515716664
# 322, 0.07184904619743193
# 323, 0.36224280752732296
# 324, 0.18953163880375767
# 325, 0.43193403055278845
# 326, 0.4319340305527829
# 327, 0.18134583554978334
# 328, 0.4541966487438377
# 329, 0.36238711585932526
# 330, 0.49637843499571566
# 331, 0.4963784349957122
# 332, 0.4361184423863296
# 333, 0.4463484524676571
# 334, 0.5167900341893151
# 335, 0.516790034189331
# 336, 0.26894162448325576
# 337, 0.09120548409433638
# 338, 0.446310619238679
# 339, 0.4670281856225643
# 340, 0.4670281856225251
# 341, 0.27501826758523584
# 342, 0.021455528622870257
# 343, 0.047539367392679055
# 344, 0.047539367392680165
# 345, 0.5762309614192356
# 346, 0.5762309614192265
# 347, 0.2040170182752784
# 348, 0.44752054595817126
# 349, 0.595763187375818
# 350, 0.5957631873758054
# 351, 0.27595098763107173
# 352, 0.5562626463804672
# 353, 0.5562626463804565
# 354, 0.2815404270611821
# 355, 0.05002080551582666
# 356, 0.5444958203693094
# 357, 0.5444958203693087
# 358, 0.3292230468251133
# 359, 0.36573414327250653
# 360, 0.4936924090059903
# 361, 0.12977561465413945
# 362, 0.4989715985671016
# 363, 0.2740881277525905
# 364, 0.586365049141611
# 365, 0.5863650491416698
# 366, 0.3851884001615835
# 367, 0.4718282156003224
# 368, 0.471828215600298
# 369, 0.21601224910660421
# 370, 0.0777456721277705
# 371, 0.4908116472401799
# 372, 0.49081164724023285
# 373, 0.49534771091384533
# 374, 0.46477283601808483
# 375, 0.8873033267369076
# 376, 0.8873033267369596
# 377, 0.37953530424108406
# 378, 0.29430435328603444
# 379, 0.49929376892238886
# 380, 0.49929376892232635
# 381, 0.36242454039901995
# 382, 0.5169124916033712
# 383, 0.5169124916033729
# 384, 0.3719168145924361
# 385, 0.35903807012024747
# 386, 0.359038070120244
# 387, 0.4016466395867243
# 388, 0.2943326813441681
# 389, 0.551509956937954
# 390, 0.5515099569379578
# 391, 0.38188791374790354
# 392, 0.29489489647266176
# 393, 0.43226141204418744
# 394, 0.6810690691303349
# 395, 0.6810690691303608
# 396, 0.08778470355654688
# 397, 0.08778470355655443
# 398, 0.5464066267670431
# 399, 0.5464066267670803
# 400, 0.5510810282164396
# 401, 0.691160263355419
# 402, 0.5245388889844463
# 403, 0.013670569702209479
# 404, 0.6186319650067962
# 405, 0.44367814337648126
# 406, 0.4436781433765644
# 407, 0.1918741872605092
# 408, 0.4318837349066129
# 409, 0.4318837349065806
# 410, 0.47195224517106404
# 411, 0.6278740381162444
# 412, 0.5368889278037319
# 413, 0.6561466459939502
# 414, 0.656146645993844
# 415, 0.4827399261297035
# 416, 0.48273992612971606
# 417, 0.5094724973943717
# 418, 0.5244604881883551
# 419, 3
# 420, 0.38945173935407107
# 421, 0.36945502993899204
# 422, 0.43262957642477684
# 423, 0.569077339067757
# 424, 0.5690773390677325
# 425, 0.42200749162080553
# 426, 0.7200515563081827
# 427, 0.7697687652135701
# 428, 0.7697687652135394
# 429, 0.7022214657474324
# 430, 0.6751040335194651
# 431, 0.6751040335194943
# 432, 0.5541814160612202
# 433, 0.7004128350503018
# 434, 0.19480422409579923
# 435, 0.4869794253315515
# 436, 0.5365722954074301
# 437, 0.5365722954074486
# 438, 0.5751629945210726
# 439, 0.575162994521115
# 440, 0.7303603780060981
# 441, 0.6121061208638019
# 442, 0.6121061208637782
# 443, 0.6125749367051383
# 444, 0.4144615188967993
# 445, 0.24611222259915866
# 446, 0.6353744889331242
# 447, 0.6353744889331108
# 448, 0.5359942260184576
# 449, 0.7141826422780708
# 450, 0.7475864505995711
# 451, 0.7475864505995672
# 452, 0.6640759973776839
# 453, 0.3261006245189243
# 454, 0.32610062451894417
# 455, 0.5757752954694615
# 456, 0.515721635570314
# 457, 0.4864481767113247
# 458, 4.440892098500626e-16
# 459, 0.5794541648134938
# 460, 0.5794541648134746
# 461, 0.012906263412643448
# 462, 0.5436915841787306
# 463, 0.6697168793572768
# 464, 0.6643909101238181
# 465, 0.664390910123865
# 466, 0.7418406940146907
# 467, 0.7451606115524689
# 468, 0.7451606115524056
# 469, 0.6727024788043239
# 470, 0.2665584984300575
# 471, 0.7858441767429057
# 472, 0.8357056417477378
# 473, 0.7145627226384966
# 474, 0.7145627226385521
# 475, 0.6884038108402029
# 476, 0.8117244175937449
# 477, 0.8747724475957297
# 478, 0.8747724475957446
# 479, 0.8931017480405697
# 480, 0.8684555398822589
# 481, 0.743126829629341
# 482, 0.7431268296293615
# 483, 3
# 484, 3
# 485, 0.8350831915207733
# 486, 0.8067665647239652
# 487, 0.8067665647238631
# 488, 0.6179335639275705
# 489, 0.7289771180038189
# 490, 2.220446049250313e-16
# 491, 0.7947311030661192
# 492, 0.7947311030661254
# 493, 0.6655768668810544
# 494, 0.7667028782046205
# 495, 0.7667028782045963
# 496, 0.7588899427938269
# 497, 0.7133863282372315
# 498, 3
# 499, 0.5425284891575155
# 500, 0.7323675987518873
# 501, 0.732367598751889
# 502, 0.8250747770381412
# 503, 0.8250747770380915
# 504, 0.5897588145560275
# 505, 0.8895985270548445
# 506, 3
# 507, 0.9240555883271632
# 508, 0.6134000380617781
# 509, 0.6134000380617994
# 510, 0.15902086893925627
# 511, 0.15902086893927048
# 512, 0.8468202542925669
# 513, 0.8171871638408971
# 514, 0.8171871638409426
# 515, 0.7177007463322913
# 516, 0.4523372764516512
# 517, 0.7716648933438076
# 518, 0.7716648933437835
# 519, 0.8750316950900482
# 520, 0.8191169334308478
# 521, 0.615513118590951
# 522, 0.6739318265907526
# 523, 3
# 524, 0.5468597210479786
# 525, 0.5468597210479103
# 526, 0.8027149179513005
# 527, 0.8027149179513221
# 528, 0.5246899557275834
# 529, 0.8129147998197696
# 530, 0.6911023408442638
# 531, 0.6911023408442671
# 532, 1.1102230246251565e-16
# 533, 0.3870168992484546
# 534, 0.7323081024889875
# 535, 0.7323081024890035
# 536, 0.6188192506177388
# 537, 0.6212195088416586
# 538, 0.532734583521143
# 539, 0.6406096217787008
# 540, 0.6406096217787725
# 541, 0.37749922006207925
# 542, 0.7177153934425735
# 543, 0.8254144413051414
# 544, 0.43641635754532226
# 545, 0.4364163575452985
# 546, 0.3015879244954003
# 547, 0.31200829856446444
# 548, 0.35624085411741724
# 549, 0.3562408541174149
# 550, 0.45265252783256016
# 551, 0.6245877805667304
# 552, 0.7141136944148085
# 553, 0.8562592992215712
# 554, 0.8562592992215994
# 555, 0.5497391656277772
# 556, 0.5312942407267978
# 557, 0.5312942407268172
# 558, 0.9262356464212285
# 559, 0.7875649011151991
# 560, 0.7875649011152039
# 561, 0.8239527209556239
# 562, 0.7396590889313726
# 563, 0.7396590889313424
# 564, 0.6669265940106142
# 565, 0.7703482840362312
# 566, 0.6827400420762219
# 567, 0.7729376253968033
# 568, 0.7729376253968117
# 569, 0.6228517167208802
# 570, 0.741944244429374
# 571, 3
# 572, 0.5858819273747633
# 573, 0.6773222190154748
# 574, 0.6773222190155291
# 575, 0.7178018633320686
# 576, 0.7954693772221859
# 577, 0.8004945022498822
# 578, 0.8004945022498758
# 579, 0.7735801378905727
# 580, 0.7017827410858598
# 581, 0.701782741085841
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# 625, 0.8856374467363778
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# 673, 1.1102230246251565e-16
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# 676, 0.7884744421448701
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# 678, 0.42562414051586683
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# 680, 3
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# 699, 0.48449267518849537
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# 703, 0.7059011626565665
# 704, 0.7727420766713049
# 705, 0.7727420766713068
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# 707, 3
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# 710, 0.895733938661583
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# 712, 0.7654251089400069
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# 735, 0.7887133605940293
# 736, 0.5693345948905482
# 737, 0.802213994591207
# 738, 0.8702352735498726
# 739, 0.9121096659903847
# 740, 0.9121096659903363
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# 742, 0.7593385594402349
# 743, 0.7708544651001457
# 744, 0.8768596256129751
# 745, 0.8488814394349253
# 746, 3
# 747, 3
# 748, 0.3032358382404897
# 749, 0.5329265765704929
# 750, 0.6591013597790485
# 751, 0.6591013597790609
# 752, 0.5709380170577348
# 753, 0.5709380170577469
# 754, 0.7031203390215095
# 755, 0.6908835752966265
# 756, 2
# 757, 0.7180741621815416
# 758, 0.7180741621815329
# 759, 0.7296208209445696
# 760, 0.7734592429902148
# 761, 0.9412251273579783
# 762, 0.941225127358024
# 763, 0.9082575044627661
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# 766, 0.38154737019420437
# 767, 0.7706734842180092
# 768, 0.8730192403543799
# 769, 3
# 770, 0.7346696410737354
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# 772, 0.3875513990383229
# 773, 0.9212359070047421
# 774, 0.9212359070047376
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# 777, 0.8221396497613831
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# 780, 0.8720916242862029
# 781, 0.8720916242864603
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# 786, 0.8517851454282959
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# 799, 0.9192015737971062
# 800, 0.9528207251038631
# 801, 0.9528207251038056
# 802, 0.6632843324926291
# 803, 3
# 804, 0.8973411218261007
# 805, 0.7430210003580823
# 806, 0.743021000358072
# 807, 0.8021099171046522
# 808, 0.8012637989208256
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# 820, 0.9117547027403069
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# 826, 0.8267470932898824
# 827, 0.8267470932900027
# 828, 0.9027329358209054
# 829, 3
# 830, 0.8953476875440295
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# 832, 0.8787613406642457
# 833, 0.5064608380714547
# 834, 0.9554465722676514
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# 850, 0.8576086137780399
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# 859, 0.7551247437899806
# 860, 0.8350510123047117
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# 862, 0.5709313259360476
# 863, 3
# 864, 3
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# 866, 0.792060278142296
# 867, 0.804219886845662
# 868, 0.7271965325642216
# 869, 0.777076721814976
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# 876, 0.7934908775700934
# 877, 0.8628257127813422
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# 879, 0.7428458313062052
# 880, 0.637187633653195
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# 884, 0.8538573004464077
# 885, 0.6047494042800796
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# 887, 0.9332417548196239
# 888, 3
# 889, 3
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# 892, 0.8149307546337516
# 893, 0.9182913450294239
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# 896, 0.8440502497867448
# 897, 0.9070542818614793
# 898, 0.8369007729628257
# 899, 0.8369007729627977
# 900, 3
# 901, 0.7651173168351686
# 902, 0.7940414217401367
# 903, 0.7940414217401558
# 904, 3
# 905, 0.7128586177945617
# 906, 0.7889553804296745
# 907, 0.8373252058073204
# 908, 0.8373252058073357
# 909, 0.7657760274272071
# 910, 3
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# 912, 0.8293160749908398
# 913, 0.9426871857800277
# 914, 0.9426871857800124
# 915, 0.756911154501285
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# 920, 0.8427951232242835
# 921, 0.7978815162024872
# 922, 0.8779741229422954
# 923, 0.8779741229423214
# 924, 3
# 925, 3
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# 927, 0.8021319411989888
# 928, 0.743357451684548
# 929, 0.74335745168458
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# 933, 0.9011253564739597
# 934, 3
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# 936, 0.8314468980132036
# 937, 0.7132823269298978
# 938, 0.6968466002395828
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# 950, 0.7829789522177516
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# 952, 0.8183874705355434
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# 956, 0.9275772075038369
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# 958, 0.7267502616967472
# 959, 0.662764113838485
# 960, 0.8299866578420817
# 961, 0.8299866578422872
# 962, 3
# 963, 0.8016442880414879
# 964, 0.8016442880414362
# 965, 0.8851357706633073
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# 967, 0.9549979020339541
# 968, 0.9549979020339354
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# 970, 0.5485546757032295
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# 973, 0.7045066946741274
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# 975, 0.7558647559092133
# 976, 0.781519837435507
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# 978, 0.8499597027566478
# 979, 3
# 980, 0.7176856861390054
# 981, 0.7484090612385381
# 982, 0.7484090612385483
# 983, 0.7609027188092318
# 984, 0.3663722168966864
# 985, 0.8865355174442962
# 986, 0.5349057847355503
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# 991, 0.7370881549124753
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# 996, 0.7417022572242336
# 997, 0.7963623167024239
# 998, 0.7963623167026881
# 999, 0.6631225410279105
# 1000, 3
# 1001, 0.7652255562119123
# 1002, 0.7615225745882469
# 1003, 0.761522574588242
# 1004, 0.8534787522882373
# 1005, 0.9309599684224465
# 1006, 0.6709784922850418
# 1007, 0.6709784922850546
# 1008, 0.6383253556383943
# 1009, 0.0
# 1010, 0.7669967964512205
# 1011, 0.7669967964512378
# 1012, 0.7604794626393059
# 1013, 0.7746564667730577
# 1014, 3
# 1015, 0.8086260587096155
# 1016, 0.8086260587096008
# 1017, 0.7645375420360659
# 1018, 0.7405020397797966
# 1019, 0.7176590590271767
# 1020, 0.7347657778664116
# 1021, 0.734765777866401
# 1022, 0.8790471602913218
# 1023, 0.5425804361650794
# 1024, 0.8263332813095047
# 1025, 0.8263332813095416
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# 1027, 0.9661831194044581
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# 1029, 0.8113210777150172
# 1030, 0.8113210777150205
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# 1032, 0.424165779278295
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# 1034, 0.8271072153214944
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# 1037, 0.7281550369132836
# 1038, 0.6757893411380106
# 1039, 0.6446774980881782
# 1040, 0.6446774980880847
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# 1049, 0.7767086797082783
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# 1052, 0.6993817738322392
# 1053, 0.6993817738321921
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# 1055, 0.7827989905781029
# 1056, 0.7827989905782173
# 1057, 0.7083193671062216
# 1058, 0.8539371093609455
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# 1060, 0.7990158586995066
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# 1062, 0.7438246498350221
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# 1064, 0.821059735630056
# 1065, 0.8210597356300416
# 1066, 0.6200334933719847
# 1067, 0.7140624180724902
# 1068, 0.3254834576952803
# 1069, 0.8870733520792542
# 1070, 0.5486019037578043
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# 1072, 0.6785668151355829
# 1073, 0.8396098082607921
# 1074, 0.5334002599972106
# 1075, 0.5334002599972405
# 1076, 3
# 1077, 0.8255432857701517
# 1078, 0.2416409309278561
# 1079, 0.24164093092784855
# 1080, 0.2680634608770558
# 1081, 0.3235181407723079
# 1082, 0.8738642697533614
# 1083, 0.8738642697533827
# 1084, 2
# 1085, 0.48708551068746986
# 1086, 0.6874953199943754
# 1087, 0.5661254398802935
# 1088, 0.5661254398802968
# 1089, 0.9701859834843125
# 1090, 0.347217882200307
# 1091, 0.34721788220028005
# 1092, 0.4171282533466055
# 1093, 0.5003709716788087
# 1094, 0.8313456385505482
# 1095, 0.8313456385505411
# 1096, 0.8656312640420447
# 1097, 3
# 1098, 0.7239027330069507
# 1099, 0.8263751191305977
# 1100, 0.7551016597082766
# 1101, 0.7551016597083187
# 1102, 0.7143066998157355
# 1103, 0.765139892037975
# 1104, 0.7651398920380161
# 1105, 0.9566794046522097
# 1106, 0.7104673970047206
# 1107, 0.7104673970047103
# 1108, 0.8102080153551025
# 1109, 0.7990361701125636
# 1110, 0.710780073645835
# 1111, 0.7107800736459153
# 1112, 0.8413843056892589
# 1113, 0.8647128477825998
# 1114, 0.8965806398237414
# 1115, 0.8965806398237299
# 1116, 0.8207246910802455
# 1117, 0.8489576946761479
# 1118, 3
# 1119, 0.9021065256969105
# 1120, 0.9436013865130523
# 1121, 3
# 1122, 0.8692894336808936
# 1123, 0.8404969299483573
# 1124, 0.84049692994838
# 1125, 0.9469874683665562
# 1126, 0.9319271090053792
# 1127, 0.9319271090053323
# 1128, 0.9421878274984907
# 1129, 0.7688210938252511
# 1130, 0.868087594364085
# 1131, 0.8680875943640859
# 1132, 0.7602228128565143
# 1133, 0.7602228128565129
# 1134, 0.8744346872159534
# 1135, 0.8744346872158607
# 1136, 0.900304818243515
# 1137, 0.8877507416720931
# 1138, 0.6377807052685602
# 1139, 0.6166687774655352
# 1140, 0.6166687774656188
# 1141, 0.832296473984631
# 1142, 0.7217073372726672
# 1143, 0.9123179129214161
# 1144, 0.9123179129214167
# 1145, 0.9690039098599241
# 1146, 0.8716418813227691
# 1147, 0.9664303334210111
# 1148, 0.9342363348330109
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# 1150, 3
# 1151, 3
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# 1153, 0.9314627342923324
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# 1155, 0.9107030255150166
# 1156, 2.220446049250313e-16
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# 1158, 0.7951742381141481
# 1159, 0.8295716579462923
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# 1704, 0.9218960831369868
# 1705, 0.9185949767098696
# 1706, 0.8547283711851501
# 1707, 0.8988707924173465
# 1708, 0.7000360584290091
# 1709, 0.9271799359449021
# 1710, 0.9271799359448905
# 1711, 0.7064240129107335
# 1712, 0.7064240129108923
# 1713, 3
# 1714, 0.5209142743560415
# 1715, 0.9228718810367583
# 1716, 0.8286200175551991
# 1717, 0.8286200175553765
# 1718, 0.7057701245708113
# 1719, 0.827372921447967
# 1720, 0.9320947276610085
# 1721, 3
# 1722, 0.8586799632083087
# 1723, 0.6740945435156267
# 1724, 0.7402336400565888
# 1725, 0.7358709569704336
# 1726, 0.7358709569704109
# 1727, 0.5245229851687143
# 1728, 0.542157299999819
# 1729, 0.6323787242267043
# 1730, 0.6323787242271734
# 1731, 0.6192850916655572
# 1732, 0.6137322392652661
# 1733, 0.6137322392650015
# 1734, 0.8167721829203188
# 1735, 0.8167721829203825
# 1736, 0.7878760916438933
# 1737, 0.5215082209265953
# 1738, 0.6621911416218256
# 1739, 0.7077303130053701
# 1740, 0.707730313005486
# 1741, 0.7448161692381183
# 1742, 0.7115433530887574
# 1743, 0.6453130494745941
# 1744, 0.6453130494747246
# 1745, 0.7288006209663347
# 1746, 0.812125301130129
# 1747, 0.812125301130102
# 1748, 0.8109480792588075
# 1749, 0.7456879038180492
# 1750, 0.7456879038180462
# 1751, 0.8311122338730976
# 1752, 0.8620410806657522
# 1753, 0.8620410806657754
# 1754, 0.8111671038633448
# 1755, 0.6986047008451192
# 1756, 0.2977530849084221
# 1757, 0.8294113315254149
# 1758, 0.8294113315254457
# 1759, 3
# 1760, 0.6608551379755649
# 1761, 0.6876086522535627
# 1762, 0.68760865225357
# 1763, 0.6383374721830992
# 1764, 0.884262623723405
# 1765, 0.8687300321997391
# 1766, 0.8687300321997813
# 1767, 0.72710320665062
# 1768, 0.9578481722190593
# 1769, 0.8785506543194386
# 1770, 0.878550654319437
# 1771, 3
# 1772, 0.8704530987265016
# 1773, 0.894532439869776
# 1774, 0.8945324398697199
# 1775, 0.9102333514906484
# 1776, 0.8419356805131493
# 1777, 0.7612601044808732
# 1778, 0.7612601044808736
# 1779, 0.8506068033192091
# 1780, 0.8440996372335471
# 1781, 0.8459518532652038
# 1782, 0.8459518532651286
# 1783, 0.9033261142422814
# 1784, 0.9033261142423614
# 1785, 0.7674786680000859
# 1786, 0.9048021823202168
# 1787, 0.8575434167510914
# 1788, 0.8575434167511505
# 1789, 0.6712314937824866
# 1790, 0.9598464225437336
# 1791, 0.6836935070210217
# 1792, 0.8503256608919191
# 1793, 0.823416506629531
# 1794, 0.8271140868150624
# 1795, 0.8271140868150766
# 1796, 0.8112437770006271
# 1797, 0.8216985946968123
# 1798, 0.8216985946968153
# 1799, 0.7533863795482443
# 1800, 0.7533863795480449
# 1801, 0.8916966700602753
# 1802, 0.7382969995344792
# 1803, 0.7382969995343662
# 1804, 0.8651450574948375
# 1805, 0.86514505749493
# 1806, 0.7616599012092073
# 1807, 3
# 1808, 0.9209722841041044
# 1809, 0.7416175378699443
# 1810, 0.6622203224673819
# 1811, 0.778384267092978
# 1812, 0.7783842670927512
# 1813, 0.7876671573341355
# 1814, 0.8706538366143458
# 1815, 0.8706538366141554
# 1816, 0.7915362479640409
# 1817, 0.981870665723012
# 1818, 0.7594647029931745
# 1819, 0.9424223342650592
# 1820, 0.8701633595148003
# 1821, 0.8701633595148006
# 1822, 0.7396031735253514
# 1823, 0.6887374555015064
# 1824, 0.6457104236785018
# 1825, 0.7940779480030495
# 1826, 0.7940779480030207
# 1827, 0.15496531081108778
# 1828, 3
# 1829, 0.834757452540881
# 1830, 0.8347574525412913
# 1831, 0.6770008574962163
# 1832, 0.748442785507436
# 1833, 0.7468929713027539
# 1834, 0.7468929713027281
# 1835, 0.8481882800790006
# 1836, 0.7985697013325295
# 1837, 0.7877261038291793
# 1838, 0.6435831845391897
# 1839, 0.8280673270016744
# 1840, 0.8280673270018108
# 1841, 0.7359518383253087
# 1842, 0.8136170922514167
# 1843, 0.7622569955277346
# 1844, 0.77973295018369
# 1845, 0.7797329501837041
# 1846, 0.7302927497947527
# 1847, 0.819226235920582
# 1848, 0.7957319173700036
# 1849, 0.7957319173700124
# 1850, 0.6282660744272299
# 1851, 0.6282660744270924
# 1852, 0.7974688251156508
# 1853, 0.8318672131710224
# 1854, 0.8318672131710353
# 1855, 0.8663322103186575
# 1856, 0.5760607046462708
# 1857, 0.8727374451598198
# 1858, 0.7189065370536292
# 1859, 0.7189065370542375
# 1860, 0.7475789305473859
# 1861, 0.30148792124774193
# 1862, 0.9580243912395559
# 1863, 0.958024391239488
# 1864, 0.7687360591628211
# 1865, 0.7687360591627875
# 1866, 0.6627417724722355
# 1867, 0.6814453336923458
# 1868, 0.5617569274253106
# 1869, 0.6615634814723468
# 1870, 0.6615634814725435
# 1871, 0.7219691157219548
# 1872, 0.5918885596528772
# 1873, 0.8741089507560175
# 1874, 0.7501958686593443
# 1875, 0.7501958686596011
# 1876, 0.6218057163531256
# 1877, 0.7940056356053482
# 1878, 0.7940056356053365
# 1879, 0.5853481636993723
# 1880, 0.6516181305894502
# 1881, 0.7493362750291017
# 1882, 0.7493362750292654
# 1883, 0.6244037844476162
# 1884, 0.6495775441734294
# 1885, 0.6495775441733627
# 1886, 0.6172750026836714
# 1887, 0.6533400190260505
# 1888, 0.6460436904940605
# 1889, 2.220446049250313e-16
# 1890, 0.6834472056917282
# 1891, 0.7973234141046662
# 1892, 0.7973234141046057
# 1893, 0.8249150647545944
# 1894, 0.5644008872504714
# 1895, 2
# 1896, 0.5318098102204858
# 1897, 0.8348886833351417
# 1898, 0.8348886833349534
# 1899, 0.7340473226284361
# 1900, 0.7340473226283677
# 1901, 0.6624569604996504
# 1902, 0.7502340244558938
# 1903, 0.7502340244560828
# 1904, 0.8045280508473401
# 1905, 0.6580892073210873
# 1906, 0.8002803994802328
# 1907, 0.4313872284052883
# 1908, 0.8654310033644584
# 1909, 0.865431003364443
# 1910, 3
# 1911, 3
# 1912, 0.5746119760412687
# 1913, 0.6035445421617698
# 1914, 0.7838344758662852
# 1915, 0.7082048704990728
# 1916, 0.7082048704990258
# 1917, 0.8201223157376195
# 1918, 0.712283670812697
# 1919, 0.7122836708127207
# 1920, 0.7672126328810064
# 1921, 0.6996523836623272
# 1922, 0.7033934962156216
# 1923, 0.7033934962156423
# 1924, 0.7908517834052017
# 1925, 0.7908517834051786
# 1926, 0.661962779541623
# 1927, 0.7448977259022618
# 1928, 0.7609229122424384
# 1929, 0.7609229122425283
# 1930, 0.7781504538402944
# 1931, 0.6325961657128657
# 1932, 0.6350280556330841
# 1933, 0.8790957825905913
# 1934, 0.8790957825906227
# 1935, 0.7344764206308978
# 1936, 0.7344764206309908
# 1937, 0.5768178348591206
# 1938, 0.7204935295511812
# 1939, 0.7204935295509336
# 1940, 0.520080592231822
# 1941, 3
# 1942, 0.476839746237135
# 1943, 0.7683338052378028
# 1944, 0.8498263590915913
# 1945, 0.8498263590915542
# 1946, 0.8284098802973714
# 1947, 0.8682386703527434
# 1948, 0.86823867035279
# 1949, 0.8345615003131961
# 1950, 0.815497808857162
# 1951, 0.7371616093366371
# 1952, 0.7253197810808566
# 1953, 0.5339918188119785
# 1954, 0.5994022150514635
# 1955, 0.5994022150514169
# 1956, 0.5475509555842546
# 1957, 0.028736508594882304
# 1958, 0.02873650859487753
# 1959, 0.8007929129320572
# 1960, 0.8007929129320128
# 1961, 0.6568695521730343
# 1962, 0.7596995326061928
# 1963, 0.8633690191172301
# 1964, 0.8633690191171903
# 1965, 0.6517865993089584
# 1966, 0.5958555992053062
# 1967, 0.5720860334013376
# 1968, 0.7836898272404798
# 1969, 0.5635029036324563
# 1970, 0.5635029036325374
# 1971, 0.793708398095421
# 1972, 0.699510115038511
# 1973, 0.6715193267604591
# 1974, 0.6715193267605801
# 1975, 0.5475770477843862
# 1976, 0.6767423556134172
# 1977, 0.6767423556134541
# 1978, 0.5664806678339402
# 1979, 0.8223367576828442
# 1980, 0.8223367576829788
# 1981, 0.40089876747991493
# 1982, 0.40089876747993003
# 1983, 0.6188139034876576
# 1984, 0.8636855474634358
# 1985, 0.8636855474633226
# 1986, 0.7495274455992309
# 1987, 0.4035179619173498
# 1988, 0.7722314962935082
# 1989, 0.6935453561127827
# 1990, 0.6935453561127942
# 1991, 0.8701649636221345
# 1992, 0.7299493383160512
# 1993, 0.7299493383159958
# 1994, 0.391235911080011
# 1995, 0.6167717974575906
# 1996, 0.7951546522511808
# 1997, 0.788588533365547
# 1998, 0.8069577356698344
# 1999, 0.13103120506377186
# 2000, 0.057019369976646694
# 2001, 0.8780408039869533
# 2002, 0.8814119863407707
# 2003, 0.8814119863407792
# 2004, 0.8868398069435487
# 2005, 0.7652307585063097
# 2006, 0.7652307585062861
# 2007, 0.6681965789505855
# 2008, 0.8765719246697581
# 2009, 0.8810905521554436
# 2010, 0.8810905521554759
# 2011, 0.9078100459745069
# 2012, 0.6954736714612222
# 2013, 0.6954736714613624
# 2014, 0.6798941543022496
# 2015, 0.784830817052975
# 2016, 0.6159444616041807
# 2017, 0.6159444616038007
# 2018, 0.4822642280541898
# 2019, 0.5739456764810242
# 2020, 0.7413689587583592
# 2021, 0.841307217563531
# 2022, 0.8413072175630992
# 2023, 3
# 2024, 3
# 2025, 0.4919159385459624
# 2026, 3
# 2027, 0.6291593631108917
# 2028, 0.7915216923981399
# 2029, 0.79152169239818
# 2030, 0.7894709650066389
# 2031, 0.7413116157192768
# 2032, 0.741311615719283
# 2033, 3
# 2034, 0.7641191697584429
# 2035, 0.8416546727482055
# 2036, 0.8314920978735826
# 2037, 0.8314920978736358
# 2038, 0.6532528887146934
# 2039, 0.7565767406644646
# 2040, 0.7565767406644579
# 2041, 0.16600156599762084
# 2042, 0.16600156599760874
# 2043, 0.507875840522297
# 2044, 0.8717881245136601
# 2045, 0.4369662904929942
# 2046, 0.6214994101472162
# 2047, 0.7391175039106395
# 2048, 0.7391175039104042
# 2049, 0.7839230087277107
# 2050, 2.220446049250313e-16
# 2051, 0.7048177954890669
# 2052, 0.7048177954891326
# 2053, 0.6351100137716984
# 2054, 0.6106270937592917
# 2055, 0.6106270937592604
# 2056, 0.7387597156451711
# 2057, 0.5308091196860062
# 2058, 0.6358056678173184
# 2059, 0.6358056678174268
# 2060, 0.6632140312871861
# 2061, 0.5426588020662385
# 2062, 0.43257980702267873
# 2063, 0.7553478242166305
# 2064, 0.755347824216494
# 2065, 0.628430310458052
# 2066, 0.7467262552467309
# 2067, 0.7467262552467422
# 2068, 0.4956494205795964
# 2069, 0.7066956371918349
# 2070, 3
# 2071, 0.7460333086132485
# 2072, 0.6344809141275802
# 2073, 0.8127203054800541
# 2074, 0.8127203054801092
# 2075, 0.9095861951370932
# 2076, 0.6921100433663923
# 2077, 0.7582571941350639
# 2078, 0.7582571941350904
# 2079, 0.38845320606075695
# 2080, 2
# 2081, 0.703059469776004
# 2082, 0.703059469776017
# 2083, 0.650509867114953
# 2084, 0.6505098671149392
# 2085, 0.6737639246649445
# 2086, 0.5402245006505659
# 2087, 0.24724536703258515
# 2088, 0.24724536703258293
# 2089, 3
# 2090, 0.4929286750889158
# 2091, 0.6774518728703849
# 2092, 0.6460544926301153
# 2093, 0.19972028910220307
# 2094, 0.8410441329970082
# 2095, 0.8410441329969822
# 2096, 0.5295475522288826
# 2097, 0.529547552228939
# 2098, 0.5139004210432797
# 2099, 0.8842887134297143
# 2100, 0.8842887134296532
# 2101, 0.3715263867319033
# 2102, 0.6147102182304723
# 2103, 0.4388976369340253
# 2104, 0.2569981615047623
# 2105, 0.44511543804787435
# 2106, 0.580267893691655
# 2107, 0.5802678936915814
# 2108, 0.32387252713814985
# 2109, 0.5320764743684442
# 2110, 0.5320764743683148
# 2111, 0.3212331866428534
# 2112, 0.3208890999884646
# 2113, 0.6154819946646848
# 2114, 0.6154819946646237
# 2115, 0.5356013084902063
# 2116, 0.3285160193864355
# 2117, 0.9327645629560216
# 2118, 0.9307202130493978
# 2119, 0.9307202130494028
# 2120, 0.7708302932363531
# 2121, 0.4167907691892605
# 2122, 0.7744016815044257
# 2123, 0.4132488312903706
# 2124, 0.4132488312903735
# 2125, 0.18660280940787077
# 2126, 0.8696656333095903
# 2127, 0.8696656333098667
# 2128, 0.8852884311230695
# 2129, 0.41769423679060347
# 2130, 0.41769423679060413
# 2131, 3
# 2132, 3
# 2133, 0.453413167085596
# 2134, 0.4534131670855711
# 2135, 0.6885192785660428
# 2136, 0.3203533775313432
# 2137, 0.7297611884269118
# 2138, 0.26953521730526364
# 2139, 0.85228048730445
# 2140, 0.8522804873045458
# 2141, 0.7666570637823423
# 2142, 3
# 2143, 0.19130332258250649
# 2144, 3
# 2145, 0.5657370810238145
# 2146, 0.5657370810238153
# 2147, 0.7815434844029562
# 2148, 0.18281194601342554
# 2149, 0.5819593308414205
# 2150, 0.5858186903309706
# 2151, 0.5858186903310407
# 2152, 0.5620158241119135
# 2153, 0.4950716400039721
# 2154, 0.8347238679426854
# 2155, 0.4229512098859577
# 2156, 0.43860492400043805
# 2157, 0.6569524401677813
# 2158, 0.6569524401679087
# 2159, 0.5146663143836243
# 2160, 0.5146663143837029
# 2161, 0.8643485141582461
# 2162, 0.8044857953508724
# 2163, 0.8044857953521795
# 2164, 0.6988468545896218
# 2165, 0.5847080620272909
# 2166, 0.584708062027083
# 2167, 0.5488925990600049
# 2168, 0.7509244346996116
# 2169, 0.7509244346996558
# 2170, 0.656879406393513
# 2171, 0.2721858799389856
# 2172, 0.7211827866837366
# 2173, 0.6971622241157748
# 2174, 0.514962781881233
# 2175, 0.5149627818812221
# 2176, 0.9231733698475649
# 2177, 0.9231733698475555
# 2178, 0.7211686785125206
# 2179, 0.592860420020797
# 2180, 0.6804222001922233
# 2181, 0.8645220707553795
# 2182, 0.8645220707534758
# 2183, 0.7416777640918258
# 2184, 0.7416777640914256
# 2185, 0.6059298204383126
# 2186, 0.6059298204383181
# 2187, 0.6265599222575562
# 2188, 0.811704383329916
# 2189, 0.8117043833297789
# 2190, 0.7970897506101784
# 2191, 0.695586897748721
# 2192, 0.6955868977490087
# 2193, 0.6206448281152044
# 2194, 0.6692341409516841
# 2195, 0.5019461848170019
# 2196, 0.7612537882180082
# 2197, 0.761253788217996
# 2198, 0.6979289827558959
# 2199, 0.05183555166835607
# 2200, 0.697015063495332
# 2201, 0.697015063495169
# 2202, 0.49908495984228485
# 2203, 0.7905480839164619
# 2204, 0.04418076152882733
# 2205, 0.6270807604696284
# 2206, 0.243976740671769
# 2207, 0.7211761473502232
# 2208, 0.7211761473501086
# 2209, 0.8604388361883535
# 2210, 0.5061049910303087
# 2211, 0.6039022317576219
# 2212, 0.6039022317577036
# 2213, 0.8772618517576962
# 2214, 0.567184965406376
# 2215, 0.6236000372851889
# 2216, 0.6236000372842667
# 2217, 0.6033103588832744
# 2218, 0.6127496232896716
# 2219, 0.6127496232898589
# 2220, 0.615518940425146
# 2221, 0.777845406922951
# 2222, 0.562886892916955
# 2223, 2
# 2224, 0.7752340173443089
# 2225, 0.7975685081753761
# 2226, 0.7268774381268446
# 2227, 0.7268774381268217
# 2228, 3
# 2229, 0.7428778274437228
# 2230, 0.8115068714720622
# 2231, 0.7868497231824706
# 2232, 0.7868497231823579
# 2233, 0.659439754463325
# 2234, 0.6594397544632342
# 2235, 0.7644124301912114
# 2236, 0.9244393070072663
# 2237, 0.9244393070073961
# 2238, 0.10543260876103788
# 2239, 0.6782485965694536
# 2240, 0.6344125249041245
# 2241, 0.5565315005501756
# 2242, 0.6698104488995371
# 2243, 0.6698104488995082
# 2244, 0.7842007135849635
# 2245, 0.46992639884095266
# 2246, 0.5107670273564764
# 2247, 0.5107670273565115
# 2248, 0.36671016201352724
# 2249, 0.6029885332239525
# 2250, 0.47299127140618913
# 2251, 0.47299127140625075
# 2252, 0.9422395805933768
# 2253, 0.4192414980439213
# 2254, 0.8939243465172222
# 2255, 0.8939243465169695
# 2256, 0.7791892469708182
# 2257, 0.7208943638962237
# 2258, 0.6546795160025707
# 2259, 0.7507468417108166
# 2260, 0.7507468417106926
# 2261, 0.49046571198442934
# 2262, 0.9808165544994341
# 2263, 0.6050153035016893
# 2264, 0.6050153035016402
# 2265, 0.3701477204618262
# 2266, 0.7253916443535129
# 2267, 0.7881050331849875
# 2268, 0.7881050331848072
# 2269, 0.9064325202822049
# 2270, 0.7768227838115287
# 2271, 0.7768227838113416
# 2272, 0.8989751063698519
# 2273, 0.5945692893484211
# 2274, 0.5945692893483445
# 2275, 3
# 2276, 0.5108738588009123
# 2277, 0.46480649834334964
# 2278, 0.6144000726803366
# 2279, 0.8824114226966207
# 2280, 0.8824114226965112
# 2281, 0.7203385445183479
# 2282, 0.41607717413416623
# 2283, 0.41607717413418444
# 2284, 0.6637977383780579
# 2285, 0.6637977383780463
# 2286, 0.40988914184261915
# 2287, 0.7745015801773292
# 2288, 0.7745015801773231
# 2289, 0.9527984939934875
# 2290, 0.38745055361884095
# 2291, 0.35345951446161283
# 2292, 0.5079223376909591
# 2293, 0.5079223376910865
# 2294, 0.5112665247997192
# 2295, 0.8802542709522407
# 2296, 0.9346884241873842
# 2297, 0.9346884241874271
# 2298, 0.9189060010540189
# 2299, 0.6492925306074036
# 2300, 0.9369354354148798
# 2301, 0.5770828872823637
# 2302, 0.5770828872823739
# 2303, 0.8891985329249612
# 2304, 0.01661813555844649
# 2305, 0.877488922233378
# 2306, 0.9297054744194886
# 2307, 0.9448113498969051
# 2308, 0.4964319695526592
# 2309, 0.49643196955272384
# 2310, 0.8595381485955127
# 2311, 0.9279948846773647
# 2312, 0.9279948846773334
# 2313, 0.9818693616295087
# 2314, 0.9588283396999997
# 2315, 0.9588283396999847
# 2316, 0.8026985055636885
# 2317, 0.957363291502233
# 2318, 0.5180472341961768
# 2319, 0.518047234196175
# 2320, 0.705996116434392
# 2321, 0.8345747107034507
# 2322, 0.8345747107035364
# 2323, 0.683805163217341
# 2324, 0.738343269164053
# 2325, 0.7383432691641136
# 2326, 0.8813882614550259
# 2327, 0.7576892160519512
# 2328, 0.9125808227245435
# 2329, 0.8548693949076938
# 2330, 0.8548693949076673
# 2331, 0.6876188192490027
# 2332, 0.693716655818748
# 2333, 0.6937166558188066
# 2334, 0.5113115764106
# 2335, 0.7150401935117155
# 2336, 0.7150401935117028
# 2337, 0.8288748042449942
# 2338, 0.9493654708898767
# 2339, 0.7387333940594107
# 2340, 0.7387333940595406
# 2341, 0.5113482570031141
# 2342, 1.1102230246251565e-16
# 2343, 3
# 2344, 0.7556672811272243
# 2345, 0.8955457142628728
# 2346, 0.7282109922000389
# 2347, 0.8201838230510003
# 2348, 0.8472233515009033
# 2349, 0.8472233515008285
# 2350, 0.8353170398376255
# 2351, 0.8353170398376984
# 2352, 0.7901423598063408
# 2353, 0.7163061586357862
# 2354, 0.7163061586357001
# 2355, 0.8976888078745723
# 2356, 0.7966910390329767
# 2357, 0.9055538863278227
# 2358, 0.7596297838976684
# 2359, 0.7596297838977335
# 2360, 0.7481356041160633
# 2361, 0.8772197712463454
# 2362, 0.8431148685457736
# 2363, 0.9242612309006456
# 2364, 0.9242612309007117
# 2365, 0.6056235882304231
# 2366, 0.8020742202335049
# 2367, 0.8020742202335758
# 2368, 0.8249768131509264
# 2369, 0.859791538977031
# 2370, 0.8597915389769317
# 2371, 0.881562643927414
# 2372, 0.9306899769467265
# 2373, 0.6365432937982306
# 2374, 0.6913650411173402
# 2375, 0.393740486366457
# 2376, 0.39374048636648007
# 2377, 0.9086538208080976
# 2378, 0.9086538208080565
# 2379, 0.6745325489499635
# 2380, 0.6745325489500666
# 2381, 0.7420132731072251
# 2382, 0.9312299999751645
# 2383, 0.9312299999749374
# 2384, 0.775961272749325
# 2385, 0.8029653040165027
# 2386, 0.9157562065015497
# 2387, 0.6964726137214239
# 2388, 0.7358697906462204
# 2389, 0.7358697906462044
# 2390, 0.7591791590129748
# 2391, 0.759179159013065
# 2392, 0.8799891789897314
# 2393, 0.7452524160565415
# 2394, 0.690407268055392
# 2395, 0.7545060160099668
# 2396, 0.7545060160097976
# 2397, 0.6601568636964701
# 2398, 0.2925755739155588
# 2399, 0.8055989642230237
# 2400, 0.765465218680021
# 2401, 0.8723437621959618
# 2402, 3
# 2403, 0.8719712980115113
# 2404, 0.8719712980114213
# 2405, 0.9143592202824986
# 2406, 0.37551866979659065
# 2407, 0.8010368600515034
# 2408, 0.801036860051547
# 2409, 0.8641647782765132
# 2410, 0.8640179958268821
# 2411, 0.8640179958268154
# 2412, 0.9048306086213604
# 2413, 0.8660559397835877
# 2414, 0.8483219857324691
# 2415, 0.8483219857324024
# 2416, 0.700942365222867
# 2417, 0.8367187906109665
# 2418, 0.768111851896725
# 2419, 0.7525758159545229
# 2420, 0.8007822253127368
# 2421, 0.7673568343065933
# 2422, 0.7673568343074588
# 2423, 0.7422488188745999
# 2424, 0.7422488188750409
# 2425, 0.7521299792531029
# 2426, 0.7521299792531186
# 2427, 0.6301945092416005
# 2428, 0.6721950684596991
# 2429, 0.6721950684594471
# 2430, 0.7170756307040378
# 2431, 0.6378483790739555
# 2432, 0.6909849952707857
# 2433, 0.8216459817280912
# 2434, 0.8216459817282161
# 2435, 0.6199472868888136
# 2436, 3
# 2437, 0.7614194511354526
# 2438, 0.761419451135543
# 2439, 0.9099596348308301
# 2440, 0.7940940736908249
# 2441, 0.8697187914781781
# 2442, 0.8569745734947274
# 2443, 0.8569745734947728
# 2444, 0.6528419584996924
# 2445, 0.7451129967116858
# 2446, 0.7451129967116701
# 2447, 0.9687697990182227
# 2448, 0.7866517621405429
# 2449, 0.7748974274527792
# 2450, 0.7442978958867575
# 2451, 0.7442978958867736
# 2452, 0.7202677432373624
# 2453, 0.8733021011153844
# 2454, 0.8733021011153415
# 2455, 0.5370105639774201
# 2456, 0.4669571842767112
# 2457, 0.6186256334643088
# 2458, 0.74014728736289
# 2459, 0.9054138241585916
# 2460, 0.016624798048790912
# 2461, 0.82334617186908
# 2462, 0.6503341484407442
# 2463, 0.6503341484408922
# 2464, 0.7872509799998462
# 2465, 0.7872509800006154
# 2466, 0.8586004263379228
# 2467, 0.8586004263380814
# 2468, 0.8055058077685002
# 2469, 0.7571453169922713
# 2470, 0.7571453169925257
# 2471, 0.7312993014331908
# 2472, 0.8801920304120263
# 2473, 0.8801920304116814
# 2474, 0.7712999273358032
# 2475, 0.8970825574163334
# 2476, 0.758642507216016
# 2477, 0.7773401183884653
# 2478, 0.7152065807781942
# 2479, 0.810860411040242
# 2480, 0.8108604110400546
# 2481, 0.8582526737706966
# 2482, 0.8582526737704606
# 2483, 0.8056306569403029
# 2484, 0.89437207849287
# 2485, 0.8943720784930665
# 2486, 0.7553779143876265
# 2487, 0.6308655044093385
# 2488, 0.8344388111105736
# 2489, 0.8032022288886419
# 2490, 0.8530963817594818
# 2491, 0.853096381758986
# 2492, 0.79907159904044
# 2493, 0.7990715990405205
# 2494, 0.839249816533753
# 2495, 0.8481222068220915
# 2496, 0.9361305987426609
# 2497, 0.7283893863056283
# 2498, 3
# 2499, 3
# 2500, 0.8646374826848486
# 2501, 0.8646374826848954
# 2502, 3
# 2503, 0.8041566563736791
# 2504, 0.714359963326286
# 2505, 0.8797251913687975
# 2506, 0.7897755972836074
# 2507, 0.7754671047746164
# 2508, 0.7754671047746206
# 2509, 0.8738274044819053
# 2510, 0.8738274044816232
# 2511, 0.783112761251576
# 2512, 0.7831127612516242
# 2513, 0.7336687321636663
# 2514, 0.5773132233883476
# 2515, 0.8688328194148703
# 2516, 0.8688328194147975
# 2517, 0.8615604367873193
# 2518, 0.45598159439489006
# 2519, 0.7326514111564099
# 2520, 0.6909592688456007
# 2521, 0.6966910613307863
# 2522, 0.6966910613306726
# 2523, 0.270504854160763
# 2524, 0.25158830376253327
# 2525, 0.5774836053162051
# 2526, 0.5774836053163911
# 2527, 0.36048325652682023
# 2528, 0.3604832565268309
# 2529, 2.220446049250313e-16
# 2530, 0.6653035513186399
# 2531, 0.7768249294529659
# 2532, 0.7533492114974352
# 2533, 0.7533492114971871
# 2534, 0.5150920890879058
# 2535, 0.580576289526573
# 2536, 0.5526487142647786
# 2537, 0.6034865783346359
# 2538, 0.6034865783345347
# 2539, 0.5619457899513933
# 2540, 0.5619457899510802
# 2541, 3
# 2542, 0.504928349041823
# 2543, 0.5049283490417438
# 2544, 0.730873925088883
# 2545, 0.5912687063969391
# 2546, 0.6520505662609889
# 2547, 0.8701841427283405
# 2548, 0.870184142728468
# 2549, 0.6202869778446334
# 2550, 0.6446680661860699
# 2551, 0.8042348996385719
# 2552, 0.8042348996386424
# 2553, 0.4154342223234754
# 2554, 0.7115803280892569
# 2555, 0.609444419747614
# 2556, 0.8141582400037664
# 2557, 0.8141582400041272
# 2558, 0.7848923067641524
# 2559, 0.7873165687292238
# 2560, 0.6162050598129832
# 2561, 0.5860661056328169
# 2562, 0.6199284018973331
# 2563, 0.5662512247244796
# 2564, 0.5662512247247877
# 2565, 0.6206434523414616
# 2566, 0.5313531127460089
# 2567, 0.5313531127461442
# 2568, 0.35557303171327315
# 2569, 0.3555730317132503
# 2570, 0.03942739949404861
# 2571, 3
# 2572, 3
# 2573, 0.12105397913411009
# 2574, 0.780881824203083
# 2575, 0.7640673464571437
# 2576, 0.764067346457304
# 2577, 0.8665899287064651
# 2578, 0.518110463009656
# 2579, 0.8399011047918907
# 2580, 0.8399011047919481
# 2581, 0.7836883046215984
# 2582, 0.390629215419774
# 2583, 0.5630102738607461
# 2584, 0.5630102738607565
# 2585, 0.8557365132055652
# 2586, 0.6488510881038945
# 2587, 0.6919767180508872
# 2588, 0.541798883006358
# 2589, 0.6222716623232758
# 2590, 0.6222716623232325
# 2591, 0.4916159521825809
# 2592, 0.8741913497183386
# 2593, 0.8741913497183292
# 2594, 0.7531967428536551
# 2595, 0.5438337017484132
# 2596, 0.726096409603651
# 2597, 0.7260964096043612
# 2598, 0.6305354616196048
# 2599, 0.6305354616194223
# 2600, 0.7354214608375949
# 2601, 0.5469069222784636
# 2602, 0.6932697959197323
# 2603, 0.6932697959194869
# 2604, 0.48181618937678106
# 2605, 0.0
# 2606, 0.6822894416887619
# 2607, 0.6822894416896581
# 2608, 0.8071878012243718
# 2609, 0.7306032124071877
# 2610, 0.7306032124071189
# 2611, 0.5045680097578646
# 2612, 0.6009985165894385
# 2613, 0.8122423602930019
# 2614, 0.6808169216486204
# 2615, 0.6808169216487576
# 2616, 0.7227917472405065
# 2617, 0.8955858381214252
# 2618, 0.877430637332043
# 2619, 0.8774306373321119
# 2620, 0.27600915594502784
# 2621, 0.27600915594504605
# 2622, 0.5789489940690247
# 2623, 0.5192864923607184
# 2624, 0.8585835458110247
# 2625, 0.7516899869788176
# 2626, 0.8521226691102537
# 2627, 0.6114274330340811
# 2628, 0.618942537616602
# 2629, 0.6189425376168326
# 2630, 0.6398804122460247
# 2631, 0.6398804122460319
# 2632, 0.6902962572967997
# 2633, 0.7053027950103556
# 2634, 0.7053027950104749
# 2635, 0.729363521094158
# 2636, 0.6675748044051413
# 2637, 0.7337229388554115
# 2638, 0.8513077963553957
# 2639, 0.8513077963554212
# 2640, 0.6179606891577799
# 2641, 0.7938166676943992
# 2642, 0.7938166676944503
# 2643, 0.5199907469859346
# 2644, 0.3873809483913161
# 2645, 0.6208159912479254
# 2646, 0.8448817276931306
# 2647, 0.8448817276932171
# 2648, 0.7539243503810025
# 2649, 0.8134977993799044
# 2650, 0.8134977993798682
# 2651, 0.885642403685891
# 2652, 0.7195653846566599
# 2653, 0.8559756868600659
# 2654, 0.7365887098766828
# 2655, 0.7365887098767415
# 2656, 0.6978877652536017
# 2657, 0.7530217354682784
# 2658, 0.6662892172804586
# 2659, 0.8390284855568604
# 2660, 0.8390284855569774
# 2661, 0.6902243909756471
# 2662, 0.6902243909756183
# 2663, 0.6345692776772888
# 2664, 0.8428430001621701
# 2665, 0.8428430001621054
# 2666, 0.7344735917930105
# 2667, 0.8366232611130754
# 2668, 3
# 2669, 3
# 2670, 0.7012224669695143
# 2671, 0.6878496142311207
# 2672, 0.6878496142312625
# 2673, 0.7395539235181537
# 2674, 0.7395539235182957
# 2675, 3
# 2676, 0.638390321752222
# 2677, 0.4173373320945374
# 2678, 0.4173373320945263
# 2679, 0.7707139973543624
# 2680, 0.7045640217412953
# 2681, 0.8241616333012118
# 2682, 0.6492715671217872
# 2683, 0.6492715671218903
# 2684, 0.7756682238986679
# 2685, 0.8347447635468916
# 2686, 0.8299487406195177
# 2687, 0.8299487406194185
# 2688, 0.7059563532439829
# 2689, 3
# 2690, 0.8035514172982734
# 2691, 0.8035514172983507
# 2692, 0.8005855037795527
# 2693, 0.7995330509768004
# 2694, 0.7929859418596171
# 2695, 0.8882396993048141
# 2696, 0.8882396993048581
# 2697, 0.7726026212476454
# 2698, 0.7298704674066898
# 2699, 0.7298704674066674
# 2700, 0.7900865122100101
# 2701, 0.8883848307491602
# 2702, 0.5708566159946171
# 2703, 0.5708566159944596
# 2704, 0.6850601132686143
# 2705, 0.5613636355846809
# 2706, 0.6230486696864677
# 2707, 0.798848181525205
# 2708, 0.7466263935889164
# 2709, 3
# 2710, 0.6517490867376214
# 2711, 0.6517490867377553
# 2712, 0.8971055470059354
# 2713, 0.8971055470060691
# 2714, 0.5936143338356161
# 2715, 0.5635106811516126
# 2716, 0.744286488140124
# 2717, 0.7175496661073903
# 2718, 0.7175496661075311
# 2719, 3
# 2720, 0.7389632415878534
# 2721, 0.740185654464226
# 2722, 0.5108826447879351
# 2723, 0.9701694708520191
# 2724, 0.970169470852004
# 2725, 0.6431338253555099
# 2726, 0.6431338253555694
# 2727, 0.6716875993090649
# 2728, 0.7202817844687834
# 2729, 0.7202817844687619
# 2730, 0.5734030759616586
# 2731, 0.5567364109116325
# 2732, 0.6772460777721658
# 2733, 0.6772460777721463
# 2734, 0.5940113071361595
# 2735, 0.7872517628050346
# 2736, 0.9084007659256506
# 2737, 0.5797630907694639
# 2738, 0.5258768967203877
# 2739, 0.6765940712643649
# 2740, 0.6765940712643095
# 2741, 0.6494704167280003
# 2742, 0.7389489206095209
# 2743, 0.7389489206094738
# 2744, 0.8290948756255088
# 2745, 0.8630116904122304
# 2746, 0.8630116904125349
# 2747, 0.7347860910475681
# 2748, 0.7936629982753891
# 2749, 0.7623838504170367
# 2750, 0.8684474289827838
# 2751, 0.868447428982338
# 2752, 0.4758821029358393
# 2753, 0.7768981936686938
# 2754, 0.6679847296719343
# 2755, 0.6033083835617675
# 2756, 0.7852530441663421
# 2757, 0.6928564374837409
# 2758, 0.6928564374835777
# 2759, 0.7635317651777799
# 2760, 0.8466277253650052
# 2761, 0.8466277253646066
# 2762, 0.6778004426652733
# 2763, 0.836249316503979
# 2764, 0.8328795068851907
# 2765, 0.8328795068890396
# 2766, 0.8574242063415628
# 2767, 0.8373150934514877
# 2768, 0.8373150934515781
# 2769, 0.7652609381522765
# 2770, 0.7048218936619057
# 2771, 3
# 2772, 3
# 2773, 0.0
# 2774, 0.7932722960333306
# 2775, 0.7067696473029492
# 2776, 0.7067696473028167
# 2777, 0.7761232454510986
# 2778, 0.7761232454506708
# 2779, 0.806001691223099
# 2780, 0.7613713768932163
# 2781, 0.6782863397181318
# 2782, 0.6782863397181405
# 2783, 0.5362940538614738
# 2784, 0.736965370226714
# 2785, 0.7369653702267025
# 2786, 0.8253672936629234
# 2787, 0.7816492366684409
# 2788, 0.4216125022582955
# 2789, 0.9493272803453465
# 2790, 0.9493272803453323
# 2791, 0.8051648320914727
# 2792, 0.8498247926437302
# 2793, 0.8498247926437076
# 2794, 0.7071554393551789
# 2795, 0.7248554697432095
# 2796, 0.8630755538423948
# 2797, 0.8630755538424373
# 2798, 0.5740168056928436
# 2799, 0.6273851727851485
# 2800, 0.6273851727852339
# 2801, 0.764720473996631
# 2802, 0.7687978042804559
# 2803, 0.6767603687545236
# 2804, 0.8762019177769718
# 2805, 0.8762019177769895
# 2806, 0.638620755850929
# 2807, 0.7056486836368866
# 2808, 0.7056486836369786
# 2809, 0.5864271800937104
# 2810, 0.6756963593495564
# 2811, 0.6274301053891786
# 2812, 0.711359801389079
# 2813, 0.6196167627134583
# 2814, 0.7328677143463338
# 2815, 0.732867714346338
# 2816, 0.8044433744856962
# 2817, 0.6476294396399591
# 2818, 0.6476294396399741
# 2819, 0.35098767794793095
# 2820, 0.6385476314464431
# 2821, 0.7937333368411317
# 2822, 0.7937333368411963
# 2823, 0.738862456823401
# 2824, 0.8273378092295984
# 2825, 0.8273378092295623
# 2826, 0.7249585198191285
# 2827, 0.6854733068324254
# 2828, 0.6854733068324307
# 2829, 0.509212994393666
# 2830, 0.5325134462541076
# 2831, 0.5325134462541525
# 2832, 0.6209087798608885
# 2833, 0.9231345152654222
# 2834, 0.7217221807515961
# 2835, 0.7217221807515415
# 2836, 0.5312177603510162
# 2837, 0.626106871225947
# 2838, 0.6261068712259175
# 2839, 0.6028471102636244
# 2840, 0.6131634717580354
# 2841, 0.0
# 2842, 0.36088828023128583
# 2843, 0.2665393523680105
# 2844, 0.26653935236802284
# 2845, 0.21758544278377334
# 2846, 0.5846217600082908
# 2847, 0.5846217600088872
# 2848, 0.24610686247776425
# 2849, 0.49843283826895834
# 2850, 0.49843283826858875
# 2851, 0.656805739315335
# 2852, 0.44540471144909777
# 2853, 0.6936420880657879
# 2854, 0.6980831896862203
# 2855, 0.6980831896861774
# 2856, 0.584632974885986
# 2857, 0.5846329748864866
# 2858, 0.7721480050451309
# 2859, 0.3525374393741222
# 2860, 0.773572898826596
# 2861, 0.677345229480478
# 2862, 0.6773452294809307
# 2863, 3
# 2864, 0.7351688575809542
# 2865, 0.44682396838151683
# 2866, 0.7023285191688531
# 2867, 0.7023285191691249
# 2868, 0.6877935922219078
# 2869, 0.6567503999705251
# 2870, 0.6326929764322686
# 2871, 0.7354822996375401
# 2872, 0.7354822996374457
# 2873, 0.9674489813343728
# 2874, 0.7480109083005293
# 2875, 0.877302612468987
# 2876, 0.5483195218558716
# 2877, 0.8588301644491906
# 2878, 0.5940154925997806
# 2879, 0.5940154925998189
# 2880, 0.5419285549777071
# 2881, 2
# 2882, 0.7374977542962342
# 2883, 0.8128468704863442
# 2884, 0.31893394685659104
# 2885, 0.5420765482940577
# 2886, 0.5420765482940471
# 2887, 0.8282411959179377
# 2888, 0.5735128459802556
# 2889, 0.6136722042065927
# 2890, 0.6136722042066017
# 2891, 0.785457509808174
# 2892, 0.7854575098074984
# 2893, 0.783011288328835
# 2894, 0.8584233860747571
# 2895, 0.8584233860745806
# 2896, 0.7179833900878003
# 2897, 0.7179833900882272
# 2898, 0.8867817052818927
# 2899, 0.6201516584977316
# 2900, 0.8102784588615405
# 2901, 3
# 2902, 3
# 2903, 0.8005833608901417
# 2904, 0.8005833608900935
# 2905, 0.8296223372247209
# 2906, 0.8296223372248697
# 2907, 0.8627791719443683
# 2908, 0.7090704313137546
# 2909, 0.7976550509647842
# 2910, 0.7976550509647777
# 2911, 0.8527994015700551
# 2912, 0.7585160638281827
# 2913, 0.9601809700404031
# 2914, 0.8870760496992256
# 2915, 0.8870760496995327
# 2916, 0.8442969001875255
# 2917, 0.9396942219104494
# 2918, 0.835512918679042
# 2919, 0.919177129092799
# 2920, 0.9191771290925403
# 2921, 0.6991486183067703
# 2922, 3
# 2923, 0.9000953734173209
# 2924, 0.9000953734173534
# 2925, 0.9142039915721403
# 2926, 0.8827031642396794
# 2927, 0.7768485447734282
# 2928, 0.7768485447735045
# 2929, 3
# 2930, 3
# 2931, 0.8885969860641607
# 2932, 0.9259744020221417
# 2933, 0.925974402022065
# 2934, 0.8580239576430848
# 2935, 3
# 2936, 0.8887486674770825
# 2937, 0.7283442071580027
# 2938, 0.8066397197820045
# 2939, 0.8066397197820278
# 2940, 0.7752560499373056
# 2941, 0.7503692348483425
# 2942, 0.7613952026028288
# 2943, 0.8166894641822275
# 2944, 0.8166894641822082
# 2945, 0.7606068699849198
# 2946, 0.857200379085198
# 2947, 0.8572003790851395
# 2948, 0.9203539506908909
# 2949, 0.7688075199400921
# 2950, 0.7688075199399336
# 2951, 0.8185043318688845
# 2952, 0.9021149055348773
# 2953, 0.8099386280942297
# 2954, 0.8638942538723826
# 2955, 0.8797750367233101
# 2956, 0.879775036723425
# 2957, 0.8620778270672816
# 2958, 0.8338595743544588
# 2959, 0.8338595743544246
# 2960, 0.8858141252232681
# 2961, 0.8487841131771907
# 2962, 0.8700912367761764
# 2963, 0.870091236776154
# 2964, 0.8090438871183047
# 2965, 0.8090438871186212
# 2966, 0.7168698547155576
# 2967, 0.8390759322825213
# 2968, 0.8416493173734099
# 2969, 0.8409649181669204
# 2970, 0.8298163429464461
# 2971, 0.8298163429463499
# 2972, 0.7837896905522875
# 2973, 0.0
# 2974, 0.3399356330870529
# 2975, 0.9518940748703086
# 2976, 0.9518940748702963
# 2977, 0.7036546065309068
# 2978, 0.8282798447953497
# 2979, 0.8282798447952622
# 2980, 0.800750449170136
# 2981, 0.9000009688035453
# 2982, 0.8255756362998954
# 2983, 3
# 2984, 0.9098777805064353
# 2985, 0.8590480622667596
# 2986, 0.859048062266662
# 2987, 0.8659937478630798
# 2988, 3
# 2989, 0.7177493319139039
# 2990, 0.8369597009261633
# 2991, 0.8369597009261454
# 2992, 0.7421644455943388
# 2993, 3
# 2994, 3
# 2995, 0.8020901758191405
# 2996, 0.7842707982733066
# 2997, 0.7842707982733002
# 2998, 0.6845080926229217
# 2999, 3
# 3000, 0.8678175277033648
# 3001, 0.6445406949598523
# 3002, 0.8911082949957762
# 3003, 0.8911082949957497
# 3004, 0.9412988939000259
# 3005, 0.7063668722923
# 3006, 0.9036378880704716
# 3007, 0.8374191867671998
# 3008, 0.8374191867674202
# 3009, 0.9012605438999457
# 3010, 0.7055958961210635
# 3011, 0.7055958961211158
# 3012, 0.8483690236267212
# 3013, 0.8871407327732159
# 3014, 0.8498768302301197
# 3015, 0.7663231990578552
# 3016, 0.7663231990580027
# 3017, 0.9210026728381974
# 3018, 0.9210026728382051
# 3019, 0.9186133007969606
# 3020, 0.9186133007969949
# 3021, 0.8055842635482562
# 3022, 0.5455523969646917
# 3023, 0.5455523969647257
# 3024, 0.8644757032602055
# 3025, 0.26276747557656355
# 3026, 0.9126037266588318
# 3027, 0.9126037266588343
# 3028, 0.8083443912247056
# 3029, 0.9102153522907122
# 3030, 0.8413185341169822
# 3031, 0.9198284819270578
# 3032, 0.7384297516995588
# 3033, 0.7384297516996063
# 3034, 0.622494726796107
# 3035, 0.7830950695293417
# 3036, 0.7830950695293091
# 3037, 0.8733902531755184
# 3038, 0.798677049236971
# 3039, 0.7986770492369368
# 3040, 0.8326307737281489
# 3041, 0.7361433333809
# 3042, 0.9457154962945997
# 3043, 3
# 3044, 0.8815271160397493
# 3045, 0.9360080445825669
# 3046, 0.9360080445825862
# 3047, 0.9638804685228235
# 3048, 0.751884351396207
# 3049, 0.9860034187424994
# 3050, 0.9860034187425042
# 3051, 0.2111208715897961
# 3052, 0.95743282582457
# 3053, 0.9574328258246106
# 3054, 0.783437680496693
# 3055, 0.8154913281539015
# 3056, 0.9220288879824644
# 3057, 0.9220288879824342
# 3058, 0.8881250458456843
# 3059, 0.7962064910610941
# 3060, 0.7962064910610978
# 3061, 0.8456521264215489
# 3062, 3
# 3063, 0.9038060112854366
# 3064, 0.9038060112854197
# 3065, 0.8433966327093045
# 3066, 0.6379130942715716
# 3067, 0.5133575964146513
# 3068, 0.5133575964145998
# 3069, 0.5920135432559288
# 3070, 0.7248573460882196
# 3071, 0.5057866761182214
# 3072, 0.6978927077030492
# 3073, 0.8144891598319666
# 3074, 0.8144891598319596
# 3075, 0.9314590754295626
# 3076, 0.9492554151653323
# 3077, 0.949255415165352
# 3078, 3
# 3079, 0.8320384817806453
# 3080, 0.7160275806108236
# 3081, 0.5949456925275469
# 3082, 0.7050746881482525
# 3083, 0.7050746881484401
# 3084, 0.86070472323832
# 3085, 0.6574047133893222
# 3086, 0.6574047133893446
# 3087, 0.7947224557752972
# 3088, 0.9081990346559614
# 3089, 0.9081990346559696
# 3090, 0.6694366637341149
# 3091, 0.9148914678103376
# 3092, 0.713295492973664
# 3093, 0.6750856105963239
# 3094, 0.6750856105961636
# 3095, 0.9503630827899172
# 3096, 0.008885431644714115
# 3097, 0.008885431644713115
# 3098, 0.9151395112659353
# 3099, 0.9151395112658938
# 3100, 0.8424840233529578
# 3101, 0.8646373508524818
# 3102, 0.5617499511091225
# 3103, 0.7521503200054559
# 3104, 0.7823895940691965
# 3105, 0.769551516701603
# 3106, 0.769551516701567
# 3107, 0.6762948827344353
# 3108, 0.6762948827345697
# 3109, 0.8470591291196949
# 3110, 0.8110893751771059
# 3111, 0.8110893751771482
# 3112, 0.21076941524641968
# 3113, 0.21076941524652315
# 3114, 0.9613174545688945
# 3115, 0.9913251025319382
# 3116, 0.8039959530850873
# 3117, 0.3931483683323306
# 3118, 0.5534310188291199
# 3119, 0.8084486529924527
# 3120, 0.8084486529924684
# 3121, 0.6456573982882474
# 3122, 0.6788785146700254
# 3123, 0.6788785146701
# 3124, 0.7326280739280632
# 3125, 0.7326280739283869
# 3126, 0.5219511574899048
# 3127, 0.5772081059903889
# 3128, 0.8296554194285077
# 3129, 0.6984619837527977
# 3130, 0.6984619837527715
# 3131, 0.6080816750162417
# 3132, 0.6080816750164575
# 3133, 0.6963881798773067
# 3134, 0.6192086068881657
# 3135, 0.381924107423784
# 3136, 0.4603596504411228
# 3137, 0.6027556053737602
# 3138, 0.6027556053730079
# 3139, 0.4537537751355155
# 3140, 0.4537537751355426
# 3141, 0.081921053688221
# 3142, 0.6313655573358605
# 3143, 0.9077528466358843
# 3144, 0.9077528466359477
# 3145, 0.6097117526279744
# 3146, 0.42811356345062157
# 3147, 0.5656674028761445
# 3148, 0.5003918976496267
# 3149, 0.7214909522898979
# 3150, 0.7214909522897966
# 3151, 0.9093725986213317
# 3152, 0.7257954039916874
# 3153, 0.36673369768782005
# 3154, 0.3667336976876875
# 3155, 0.4577839088078146
# 3156, 0.9313768952805657
# 3157, 0.07153978874520883
# 3158, 3
# 3159, 3
# 3160, 0.3341698699849348
# 3161, 0.5247716120817908
# 3162, 0.9078136486945696
# 3163, 0.907813648694531
# 3164, 0.6081834509691815
# 3165, 0.8516245661711328
# 3166, 0.5209739800915181
# 3167, 0.5209739800915844
# 3168, 0.611171496519477
# 3169, 0.86031128409758
# 3170, 0.8603112840975651
# 3171, 0.16362640386101435
# 3172, 0.1636264038610219
# 3173, 0.8792197955931984
# 3174, 0.4521807476042884
# 3175, 0.4521807476042752
# 3176, 0.6384700344904455
# 3177, 0.414662819660233
# 3178, 3
# 3179, 3
# 3180, 0.5712808112998855
# 3181, 0.948579811558407
# 3182, 0.5713845209315882
# 3183, 0.571384520931471
# 3184, 0.6570721370485155
# 3185, 0.42659026740489603
# 3186, 0.46393778187799206
# 3187, 0.5096555154339537
# 3188, 0.5096555154339415
# 3189, 0.664733106402866
# 3190, 0.6647331064026845
# 3191, 0.8252092072485171
# 3192, 0.49729331885608874
# 3193, 0.6516269092859526
# 3194, 0.7095714768386943
# 3195, 0.7095714768386049
# 3196, 0.74233990475215
# 3197, 0.4501192600515148
# 3198, 0.8855088721929684
# 3199, 0.8855088721940824
# 3200, 0.7814861406869178
# 3201, 0.7814861406872766
# 3202, 0.8253503469042571
# 3203, 0.6667236849310986
# 3204, 0.7895536860690133
# 3205, 3
# 3206, 0.7285253770227883
# 3207, 0.7285253770228666
# 3208, 0.8678906151718366
# 3209, 0.4915763375477812
# 3210, 0.6717729969079469
# 3211, 0.725615548183435
# 3212, 0.7704445893166507
# 3213, 0.7704445893166344
# 3214, 0.8563238412961156
# 3215, 0.8563238412960572
# 3216, 0.7916658682377394
# 3217, 0.7639708227858892
# 3218, 0.8424878396359817
# 3219, 0.8424878396359833
# 3220, 0.645693616590582
# 3221, 0.8494909588095125
# 3222, 0.8494909588101747
# 3223, 0.6939827818932529
# 3224, 0.7626453850434994
# 3225, 0.8088034475739068
# 3226, 0.46362064589098995
# 3227, 0.736458810363606
# 3228, 0.7364588103635762
# 3229, 0.6572440488793696
# 3230, 0.6572440488793038
# 3231, 0.5923598488206986
# 3232, 0.7564061692426596
# 3233, 0.6531603647483524
# 3234, 0.6949811263765185
# 3235, 0.6949811263765823
# 3236, 0.8126792155893161
# 3237, 0.8143447613558947
# 3238, 0.8143447613561499
# 3239, 0.7406881137018675
# 3240, 0.7406881137018582
# 3241, 0.5953245021324316
# 3242, 0.3337706924114413
# 3243, 0.329641341359426
# 3244, 0.3296413413594995
# 3245, 0.20089581478888618
# 3246, 0.5622477235046244
# 3247, 0.5701040563155079
# 3248, 3
# 3249, 0.8739939160790133
# 3250, 0.6076020375640697
# 3251, 0.6076020375640567
# 3252, 0.17738067306232108
# 3253, 0.7869976914870884
# 3254, 0.4560901266040982
# 3255, 0.6361839773813416
# 3256, 0.6361839773813047
# 3257, 0.780070074446692
# 3258, 0.7800700744466381
# 3259, 0.0
# 3260, 0.6335294581484523
# 3261, 0.6609850747641787
# 3262, 0.7251738322832131
# 3263, 3
# 3264, 0.9128444410021422
# 3265, 0.9105627665448058
# 3266, 0.8911823962256794
# 3267, 0.8911823962257075
# 3268, 0.9661654457983098
# 3269, 0.9386751417910292
# 3270, 0.9284110469479402
# 3271, 0.947724040146086
# 3272, 0.9477240401462127
# 3273, 0.8108276033042374
# 3274, 0.8716021539590244
# 3275, 0.8716021539590276
# 3276, 0.7805989461211221
# 3277, 0.7805989461210755
# 3278, 0.8040588201280607
# 3279, 0.6483343778640989
# 3280, 2
# 3281, 3
# 3282, 3
# 3283, 0.7436585567815338
# 3284, 0.6077333305768238
# 3285, 0.6077333305768193
# 3286, 0.8798419789690938
# 3287, 0.8271081694440071
# 3288, 0.8271081694439173
# 3289, 0.8641436549351209
# 3290, 0.7577643261475455
# 3291, 0.7380856239670238
# 3292, 0.7380856239670666
# 3293, 0.7209927864732933
# 3294, 0.8625124497937666
# 3295, 0.862512449793799
# 3296, 0.6810387330212793
# 3297, 0.675259749569669
# 3298, 0.9103282761295385
# 3299, 0.9103282761295861
# 3300, 0.5331773772873034
# 3301, 0.5491597554089882
# 3302, 0.20525420911055536
# 3303, 0.8157360356420941
# 3304, 0.8157360356420569
# 3305, 0.8328289018888299
# 3306, 0.6801404944433862
# 3307, 0.6801404944434772
# 3308, 0.8796624780887936
# 3309, 2
# 3310, 0.8513580979247064
# 3311, 0.8805163307715201
# 3312, 0.7306327567977036
# 3313, 0.7560361860521344
# 3314, 0.7560361860521321
# 3315, 0.6822548996272689
# 3316, 0.42835349125132394
# 3317, 0.42835349125129196
# 3318, 0.8223606259359322
# 3319, 0.48872688736595493
# 3320, 0.5035675892793197
# 3321, 0.7487304656687989
# 3322, 0.7487304656687149
# 3323, 0.7801012265039013
# 3324, 0.7801012265040668
# 3325, 0.7264309948412101
# 3326, 0.3380686512316271
# 3327, 0.7373661094081612
# 3328, 0.8182449365543127
# 3329, 0.8182449365545315
# 3330, 0.8296469996520399
# 3331, 0.792715095485298
# 3332, 0.7927150954851548
# 3333, 0.8307146858109181
# 3334, 0.2244677374283237
# 3335, 0.7819926933747593
# 3336, 0.6204087788576831
# 3337, 0.6721965824489461
# 3338, 0.6721965824489797
# 3339, 0.6559152991121873
# 3340, 0.903420890251996
# 3341, 0.8279495496907636
# 3342, 0.8521454856641256
# 3343, 0.8521454856640397
# 3344, 0.6150917851133384
# 3345, 0.7256822058690628
# 3346, 0.6438854966274579
# 3347, 0.6351791644190617
# 3348, 0.6351791644190758
# 3349, 0.8226945756502065
# 3350, 0.7762159076485275
# 3351, 0.7013969155175007
# 3352, 0.7013969155184772
# 3353, 0.8073906578772954
# 3354, 0.6953732282668972
# 3355, 0.37778366732775837
# 3356, 0.37778366732767554
# 3357, 0.6159132759647779
# 3358, 0.6159132759647199
# 3359, 0.10934138289742024
# 3360, 0.1093413828974098
# 3361, 0.759130739030256
# 3362, 3
# 3363, 0.6867963685654049
# 3364, 0.6867963685654253
# 3365, 3
# 3366, 0.6533855606784713
# 3367, 0.45962111402532213
# 3368, 0.48868777066612057
# 3369, 0.48868777066615565
# 3370, 0.7805081794992393
# 3371, 0.7805081794992746
# 3372, 0.5684005660584273
# 3373, 0.10203938334666729
# 3374, 3
# 3375, 0.6377266522927798
# 3376, 0.9271628377910026
# 3377, 0.5579846975910149
# 3378, 0.5579846975909506
# 3379, 0.8068242230884349
# 3380, 0.6256664107758361
# 3381, 0.8395529194555127
# 3382, 0.8395529194554442
# 3383, 0.5429239114143918
# 3384, 0.28034991626807815
# 3385, 0.2803499162680926
# 3386, 0.8608508208597664
# 3387, 0.8608508208596606
# 3388, 0.871518095847206
# 3389, 0.621064483369387
# 3390, 0.6210644833692582
# 3391, 0.7287244338585386
# 3392, 0.6803156184335972
# 3393, 0.7199300411675815
# 3394, 0.7515940794512801
# 3395, 0.7515940794512749
# 3396, 0.8008609324492633
# 3397, 0.6428736656443892
# 3398, 0.5027602143951646
# 3399, 0.7195959983215094
# 3400, 0.8727094072532118
# 3401, 0.872709407253129
# 3402, 0.7395590306752007
# 3403, 0.8029474985274879
# 3404, 0.8029474985276136
# 3405, 0.7052139338310517
# 3406, 0.8892722299375658
# 3407, 0.6779206589630582
# 3408, 0.677920658963077
# 3409, 0.6767888483169076
# 3410, 0.8309430869279459
# 3411, 0.8309430869278289
# 3412, 0.6331383201673147
# 3413, 0.63313832016743
# 3414, 0.8781649536301723
# 3415, 0.847679865693967
# 3416, 0.9206315341293384
# 3417, 0.9206315341293171
# 3418, 0.8022141722268706
# 3419, 3
# 3420, 3
# 3421, 0.5179480457687
# 3422, 0.6055507444798792
# 3423, 0.8270276916875734
# 3424, 0.7555743475279292
# 3425, 0.7042212559436754
# 3426, 0.7042212559436349
# 3427, 0.8888423454069498
# 3428, 0.8032513385267341
# 3429, 0.7261227576260503
# 3430, 0.7123373590523974
# 3431, 0.7123373590524387
# 3432, 0.8011292235022409
# 3433, 0.844329483614408
# 3434, 0.674326381753376
# 3435, 0.835580945163491
# 3436, 0.8355809451635327
# 3437, 0.9378744414592128
# 3438, 0.7381580059294562
# 3439, 0.7381580059294324
# 3440, 0.6547872739138714
# 3441, 0.6338262557842738
# 3442, 0.7682237960062194
# 3443, 0.4388962266812396
# 3444, 0.6731154107261467
# 3445, 0.673115410726128
# 3446, 0.726169802035505
# 3447, 2.220446049250313e-16
# 3448, 0.11652512245113367
# 3449, 0.14201310764720898
# 3450, 0.14201310764718889
# 3451, 0.0752266409723985
# 3452, 0.14144681331833509
# 3453, 0.7461537407826209
# 3454, 0.9433226737799388
# 3455, 0.9433226737798932
# 3456, 0.9406412704579561
# 3457, 3
# 3458, 3
# 3459, 0.9472122147802735
# 3460, 0.9053629204025175
# 3461, 0.9053629204024547
# 3462, 0.8454834252910803
# 3463, 0.948238474150055
# 3464, 0.6837698256689224
# 3465, 0.8985649755592486
# 3466, 0.8985649755592848
# 3467, 0.6414538733949127
# 3468, 0.5712097161001416
# 3469, 0.7265601227631391
# 3470, 0.7265601227632297
# 3471, 0.9230443782779767
# 3472, 0.9096139148671687
# 3473, 0.9096139148672456
# 3474, 0.8901815692497101
# 3475, 0.8028407974317051
# 3476, 3
# 3477, 0.5475673518839954
# 3478, 0.5475673518839841
# 3479, 0.6429542706052589
# 3480, 0.6914138405429644
# 3481, 0.662878014262117
# 3482, 0.6628780142617394
# 3483, 0.45153795722991097
# 3484, 0.4724421484412865
# 3485, 0.5658562807184528
# 3486, 0.39331490316179096
# 3487, 0.6096978518397902
# 3488, 0.6326896935214321
# 3489, 0.4827121802358435
# 3490, 0.48271218023620677
# 3491, 0.5727340497152553
# 3492, 0.5727340497156803
# 3493, 0.8511424412681535
# 3494, 0.8511424412688412
# 3495, 0.7185600308012272
# 3496, 0.6952997133121039
# 3497, 0.5946832676948162
# 3498, 0.7963692425338925
# 3499, 0.7963692425339071
# 3500, 0.2808700138948895
# 3501, 0.28087001389488875
# 3502, 0.6828931625279402
# 3503, 0.8015771709579479
# 3504, 0.749822500984325
# 3505, 0.6144897997628227
# 3506, 0.6144897997629156
# 3507, 0.8953875380925942
# 3508, 0.7165819126890195
# 3509, 0.7165819126892404
# 3510, 0.9523663893554812
# 3511, 0.6807298055533746
# 3512, 0.6807298055531039
# 3513, 0.5966653969052396
# 3514, 0.5696114915630097
# 3515, 0.7894904169345613
# 3516, 0.717904212661385
# 3517, 0.7179042126612316
# 3518, 0.28532079871177773
# 3519, 0.7856444073393227
# 3520, 0.6254361398357535
# 3521, 0.5858303465560134
# 3522, 0.5858303465559307
# 3523, 0.5902440234636475
# 3524, 0.4490873678442423
# 3525, 0.44908736784422976
# 3526, 0.7938103986961713
# 3527, 0.5222694301406527
# 3528, 0.883064492622515
# 3529, 0.6723518951014524
# 3530, 0.6666511258353072
# 3531, 0.6666511258353862
# 3532, 0.7258607245132329
# 3533, 0.725860724512823
# 3534, 0.5959425751676716
# 3535, 0.7654662265172509
# 3536, 0.7654662265171799
# 3537, 3
# 3538, 0.4048582796264878
# 3539, 0.6781485090863895
# 3540, 0.6673242009951632
# 3541, 0.6673242009954166
# 3542, 0.4841389365345402
# 3543, 0.17979612159172287
# 3544, 0.7674675438980246
# 3545, 0.607784326841154
# 3546, 0.637338577630727
# 3547, 0.6373385776307835
# 3548, 0.6380829225607414
# 3549, 0.5448424553095301
# 3550, 0.5855408121641317
# 3551, 0.5855408121641313
# 3552, 0.7234114095421724
# 3553, 0.7234114095421527
# 3554, 0.5525593942974454
# 3555, 0.7448946384852642
# 3556, 0.7077745422795367
# 3557, 0.7077745422794453
# 3558, 0.588917356648618
# 3559, 0.726103785441296
# 3560, 0.6744787312071695
# 3561, 0.6744787312072273
# 3562, 0.8073373403509592
# 3563, 0.7451748732503107
# 3564, 0.7451748732502599
# 3565, 0.556708450718862
# 3566, 0.4999163540459953
# 3567, 0.8192274906829857
# 3568, 0.8298905821270447
# 3569, 0.8298905821270529
# 3570, 0.5367015849699838
# 3571, 0.5367015849700962
# 3572, 0.8104980193675341
# 3573, 0.6497130353360193
# 3574, 0.4542106640876721
# 3575, 0.6736027236482345
# 3576, 0.6736027236481754
# 3577, 0.8266956758638127
# 3578, 0.5149244721269761
# 3579, 0.4826132328304784
# 3580, 2
# 3581, 2
# 3582, 0.49466549291478246
# 3583, 0.4946654929147467
# 3584, 0.586895496812526
# 3585, 0.7525916495456606
# 3586, 0.7525916495457368
# 3587, 0.7266307624371042
# 3588, 0.6408610426555077
# 3589, 0.7947403924918635
# 3590, 0.794740392491891
# 3591, 0.6071231378723303
# 3592, 0.6455697291569051
# 3593, 0.6682965521092725
# 3594, 0.6861188682337728
# 3595, 0.6861188682336536
# 3596, 0.4982114893444398
# 3597, 0.7274164524461031
# 3598, 0.7280386216720527
# 3599, 0.7280386216720536
# 3600, 0.5744340282697975
# 3601, 0.7863850552249274
# 3602, 0.7588403541432545
# 3603, 0.7588403541432535
# 3604, 0.6063116560528428
# 3605, 3
# 3606, 3
# 3607, 0.4504436625233348
# 3608, 0.8205725366993548
# 3609, 0.8205725366994752
# 3610, 0.723232244284766
# 3611, 0.7502472306527063
# 3612, 0.5314337310571398
# 3613, 0.754065527345869
# 3614, 0.7540655273458508
# 3615, 0.7411332240794524
# 3616, 3
# 3617, 0.5057908540326672
# 3618, 0.6228116039722277
# 3619, 0.5810496434157613
# 3620, 0.5810496434158677
# 3621, 0.6718129445884762
# 3622, 0.6718129445884589
# 3623, 0.6912328264043438
# 3624, 0.7381559981374902
# 3625, 0.7327492666944705
# 3626, 0.6306814458695864
# 3627, 0.6306814458695744
# 3628, 0.9280907637584449
# 3629, 0.6726607653199159
# 3630, 0.7999927887569995
# 3631, 0.7999927887569891
# 3632, 0.8209090837445608
# 3633, 0.7207673871475029
# 3634, 0.8193742483042612
# 3635, 0.8249849952819582
# 3636, 0.8249849952819222
# 3637, 0.4410575271161946
# 3638, 0.33012437863551725
# 3639, 0.330124378635531
# 3640, 0.22923866105252622
# 3641, 0.1135711174783165
# 3642, 0.6178488482078159
# 3643, 0.7042814189015306
# 3644, 0.7042814189013884
# 3645, 0.6516242225220619
# 3646, 0.6516242225220248
# 3647, 0.916782725825883
# 3648, 0.6742912097307001
# 3649, 0.7594536224163742
# 3650, 0.7594536224162765
# 3651, 0.864232282726664
# 3652, 0.6728547385770782
# 3653, 0.8755682123793198
# 3654, 0.5690276791678144
# 3655, 0.8841287332629302
# 3656, 0.8841287332628861
# 3657, 0.6741182348306951
# 3658, 0.6741182348306828
# 3659, 0.8804626331744331
# 3660, 0.6283407621681434
# 3661, 0.8601164961425909
# 3662, 0.6966732790989631
# 3663, 0.6966732790989449
# 3664, 0.4892371462816417
# 3665, 0.6923439896857325
# 3666, 0.7450002045749784
# 3667, 0.639053726197044
# 3668, 0.6176110138929429
# 3669, 0.6176110138929396
# 3670, 0.099316752411572
# 3671, 0.7146852259710252
# 3672, 0.885577749244067
# 3673, 0.8855777492444831
# 3674, 0.521909278894108
# 3675, 0.7102348947401649
# 3676, 0.48904427125054606
# 3677, 0.4890442712508407
# 3678, 0.42878329590680375
# 3679, 3
# 3680, 3
# 3681, 0.7754481409882243
# 3682, 0.7754481409883325
# 3683, 0.8538112467685894
# 3684, 0.8171463802938737
# 3685, 0.617067232608788
# 3686, 0.6170672326087372
# 3687, 0.6887478519483677
# 3688, 0.35278667620723236
# 3689, 0.49221613941780895
# 3690, 0.49221613941749565
# 3691, 0.2862847805667996
# 3692, 0.7864032836661083
# 3693, 0.7162593005191288
# 3694, 0.3718559159616339
# 3695, 0.4549820476018025
# 3696, 0.5296030422432778
# 3697, 0.6882032384955596
# 3698, 0.6882032384955621
# 3699, 0.4673008034516527
# 3700, 0.5673227399474181
# 3701, 0.6681273612614766
# 3702, 0.6681273612603474
# 3703, 3
# 3704, 0.8701525613479898
# 3705, 0.8701525613480696
# 3706, 0.7112328259052888
# 3707, 0.711232825905181
# 3708, 0.7864260838716237
# 3709, 0.7864260838709921
# 3710, 0.8924244019662168
# 3711, 0.607864729960705
# 3712, 0.48811327807362737
# 3713, 0.6496493665049863
# 3714, 0.7030048944375054
# 3715, 0.7030048944378834
# 3716, 0.7814678588380752
# 3717, 0.7537635015624241
# 3718, 0.5427306913867487
# 3719, 0.5427306913877744
# 3720, 0.7656206749037605
# 3721, 3
# 3722, 0.6756882373430201
# 3723, 0.6179032006374325
# 3724, 0.617903200637183
# 3725, 0.6648611485310245
# 3726, 0.7436771733861302
# 3727, 0.7436771733881451
# 3728, 3
# 3729, 0.9254381659210696
# 3730, 0.5735735301568863
# 3731, 0.573573530156906
# 3732, 0.8633807907831762
# 3733, 0.693289335889403
# 3734, 0.6932893358897398
# 3735, 0.27210987184226787
# 3736, 0.3836843225405532
# 3737, 0.9871248602333546
# 3738, 0.9871248602333524
# 3739, 0.8110536574696389
# 3740, 3
# 3741, 0.8655072748031412
# 3742, 0.45203460665725814
# 3743, 0.7916417083669935
# 3744, 0.3710517196788917
# 3745, 0.7670472062191007
# 3746, 0.7670472062221702
# 3747, 0.17396039965719035
# 3748, 0.5239769169742812
# 3749, 0.5239769169746922
# 3750, 0.6567417608095467
# 3751, 0.4216454819632196
# 3752, 0.6239537906324335
# 3753, 0.6239537906327128
# 3754, 0.45060458582468843
# 3755, 0.5173936761889825
# 3756, 0.5173936761891329
# 3757, 0.5844599853997283
# 3758, 0.2744143952144702
# 3759, 0.28496979344733553
# 3760, 3
# 3761, 3
# 3762, 0.206049367601414
# 3763, 0.3944528938264701
# 3764, 0.39445289382635984
# 3765, 0.6064736152103417
# 3766, 0.6064736152083214
# 3767, 0.27526748274540913
# 3768, 0.4307195019327693
# 3769, 0.2866101392597543
# 3770, 0.286610139259734
# 3771, 0.3363600847763888
# 3772, 0.15536459421326831
# 3773, 0.2246919231237886
# 3774, 0.49860443844083935
# 3775, 0.4986044384401437
# 3776, 0.4679917583337695
# 3777, 0.2683935023111895
# 3778, 0.49643342105756993
# 3779, 0.4964334210588627
# 3780, 0.6601228483216253
# 3781, 0.3570112830436698
# 3782, 0.35701128304346974
# 3783, 0.1354774513628344
# 3784, 0.10739853772765484
# 3785, 0.10739853772884944
# 3786, 0.0006700670542101328
# 3787, 0.0006700670542104659
# 3788, 0.12127669065226421
# 3789, 0.38110386506882477
# 3790, 0.5418366635043261
# 3791, 0.6032953021622962
# 3792, 3
# 3793, 0.7098375047860073
# 3794, 0.7098375047864864
# 3795, 0.799248202883539
# 3796, 0.799248202883574
# 3797, 0.740688029332054
# 3798, 0.9047532868920958
# 3799, 0.8287327605157737
# 3800, 0.8283795616551077
# 3801, 0.8283795616551379
# 3802, 0.9225041804483585
# 3803, 0.7958167895718236
# 3804, 0.8893189643481069
# 3805, 0.8893189643481454
# 3806, 0.9102203230072309
# 3807, 0.935595670288481
# 3808, 0.9355956702882564
# 3809, 0.7761832328067705
# 3810, 0.6975398275143996
# 3811, 0.8871243977377511
# 3812, 0.8871243977385682
# 3813, 0.618644465015816
# 3814, 0.5986995680438483
# 3815, 0.6186968225531682
# 3816, 0.618696822553446
# 3817, 0.03541007439346644
# 3818, 0.5851984981649405
# 3819, 0.8321305810700356
# 3820, 0.8031784857598064
# 3821, 0.7281554412156662
# 3822, 0.7266423464240774
# 3823, 0.7266423464246057
# 3824, 0.7223646107981468
# 3825, 0.7880987865593181
# 3826, 0.7880987865603478
# 3827, 0.9768608200565858
# 3828, 3
# 3829, 3
# 3830, 0.4908755497936481
# 3831, 0.823084850642581
# 3832, 0.9356905581332536
# 3833, 0.7904088754454744
# 3834, 0.7904088754454753
# 3835, 0.5850152399842372
# 3836, 0.5647320134500138
# 3837, 0.5647320134499478
# 3838, 3
# 3839, 3
# 3840, 0.7040440105372021
# 3841, 0.7677649731816045
# 3842, 0.767764973181963
# 3843, 0.429804280892392
# 3844, 0.5765410762217453
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# 3846, 0.4188580132114592
# 3847, 0.5701423814445898
# 3848, 0.5786870550255612
# 3849, 0.5236742056227375
# 3850, 0.11059807730017923
# 3851, 0.7154285015801636
# 3852, 0.715428501580246
# 3853, 0.679321962270224
# 3854, 0.6636424925075124
# 3855, 0.6636424925073219
# 3856, 0.7117153848800456
# 3857, 0.7105571350352333
# 3858, 0.7105571350371999
# 3859, 0.7185836748089154
# 3860, 0.5777443890045302
# 3861, 0.4547286228290016
# 3862, 0.5149393253993393
# 3863, 0.7180275847354243
# 3864, 0.7180275847352955
# 3865, 0.7310436963384457
# 3866, 0.09409605458942971
# 3867, 0.6558614251064403
# 3868, 0.4832587770128449
# 3869, 0.5979343272223132
# 3870, 0.5979343272221496
# 3871, 0.8236978925167975
# 3872, 0.823697892516524
# 3873, 0.6833409365917242
# 3874, 0.02823197859562343
# 3875, 0.8565294939666928
# 3876, 0.6678277734715002
# 3877, 0.6678277734706366
# 3878, 0.5918053856690688
# 3879, 0.31859146473397293
# 3880, 0.3185914647338681
# 3881, 0.7976378668223028
# 3882, 0.71401481309025
# 3883, 0.5177119645173
# 3884, 3
# 3885, 0.20042755119365452
# 3886, 0.3483699151986396
# 3887, 0.420576610011379
# 3888, 0.42057661001155466
# 3889, 0.466886613696303
# 3890, 0.0
# 3891, 0.6718207686704082
# 3892, 0.6718207686702752
# 3893, 0.8139207788444671
# 3894, 0.8139207788437126
# 3895, 0.711311224159045
# 3896, 0.711311224158973
# 3897, 0.3995762734206785
# 3898, 0.7434657854103672
# 3899, 0.6845491760047829
# 3900, 0.6321686567104488
# 3901, 0.1579614950169289
# 3902, 0.1579614950169067
# 3903, 0.5472211110758196
# 3904, 0.5472211110757792
# 3905, 0.6922009214904747
# 3906, 0.6020473511068094
# 3907, 0.7836724003396366
# 3908, 0.7834184984468843
# 3909, 0.7834184984467352
# 3910, 0.3855587476440111
# 3911, 3
# 3912, 0.6874368683135397
# 3913, 0.6874368683138716
# 3914, 3
# 3915, 0.7329551225769149
# 3916, 0.8258023024374381
# 3917, 0.5312349188360197
# 3918, 0.5312349188361098
# 3919, 0.47011995959394137
# 3920, 0.613915641534083
# 3921, 0.7412785771063451
# 3922, 0.7412785771066059
# 3923, 0.46334925148065775
# 3924, 0.6721844741611807
# 3925, 0.6586225721328776
# 3926, 0.6210487116440315
# 3927, 0.6210487116434557
# 3928, 0.6775813830000996
# 3929, 0.6729616456503391
# 3930, 0.504000049316681
# 3931, 0.5040000493162635
# 3932, 0.5948859056096327
# 3933, 0.47564386555417004
# 3934, 0.65771386516642
# 3935, 0.6577138651660774
# 3936, 0.721337147744422
# 3937, 0.5307820207950928
# 3938, 0.7871627756558222
# 3939, 0.7871627756561564
# 3940, 0.7011240687825162
# 3941, 0.6138147392504997
# 3942, 0.32348970909592945
# 3943, 0.7226535075346432
# 3944, 0.7226535075346411
# 3945, 0.38790953404279505
# 3946, 0.4182825953215641
# 3947, 0.41828259532157597
# 3948, 0.8415853192668268
# 3949, 0.7292678718775603
# 3950, 0.5411685959253567
# 3951, 0.843014503291887
# 3952, 0.9284398637828941
# 3953, 0.9284398637830498
# 3954, 0.4109534138008114
# 3955, 0.27673981660225666
# 3956, 0.27673981660302405
# 3957, 0.8187504898049529
# 3958, 0.8418711907090399
# 3959, 0.8418711907087425
# 3960, 0.729013068444265
# 3961, 0.659359079303278
# 3962, 0.7116451449170813
# 3963, 0.7748909340216039
# 3964, 0.7748909340215755
# 3965, 0.008519342893783977
# 3966, 0.008519342893783755
# 3967, 0.5174837332001365
# 3968, 3
# 3969, 3
# 3970, 0.5093489603434911
# 3971, 0.729488629263352
# 3972, 0.7803306713356866
# 3973, 0.7803306713355003
# 3974, 0.8238747919279314
# 3975, 0.705631203925499
# 3976, 0.8580667140099262
# 3977, 0.8580667140101027
# 3978, 0.5216506657853368
# 3979, 0.7268938714516712
# 3980, 0.8797644852595572
# 3981, 0.8797644852592857
# 3982, 0.9354662684403022
# 3983, 0.4441455984551149
# 3984, 0.796976819650665
# 3985, 0.7969768196505973
# 3986, 0.8563867289383962
# 3987, 0.83533488039943
# 3988, 0.8353348803986472
# 3989, 0.6157567857027857
# 3990, 0.7576954151167739
# 3991, 0.7576954151167814
# 3992, 0.6213132582641381
# 3993, 0.8117236536937628
# 3994, 0.8117236536938701
# 3995, 0.7803516347949192
# 3996, 0.7038331927931443
# 3997, 0.8535702668024066
# 3998, 3
# 3999, 0.7314970630333266
# 4000, 0.7314970630333291
# 4001, 0.8325381983356103
# 4002, 0.5482306955962539
# 4003, 0.5482306955969332
# 4004, 0.7652476631307771
# 4005, 3
# 4006, 0.8033577037634863
# 4007, 0.8033577037635922
# 4008, 0.5014931747807803
# 4009, 0.8150164160987379
# 4010, 0.5302713909038441
# 4011, 0.7975061822193292
# 4012, 0.7975061822193243
# 4013, 0.3771575303147806
# 4014, 0.9153679271543013
# 4015, 0.6785229634540904
# 4016, 0.724638043457074
# 4017, 0.7246380434567291
# 4018, 0.6820180997292781
# 4019, 0.6003160854472438
# 4020, 0.8108827081577763
# 4021, 0.8108827081578058
# 4022, 0.629969708085178
# 4023, 2
# 4024, 0.7955541138383663
# 4025, 0.8306588686793765
# 4026, 0.8062158817198466
# 4027, 0.8062158817199414
# 4028, 0.6979668141505301
# 4029, 0.6979668141504614
# 4030, 0.7522914099912945
# 4031, 0.7498301200563181
# 4032, 0.7498301200562827
# 4033, 0.7596361599508832
# 4034, 0.886454219628897
# 4035, 0.7435424035316309
# 4036, 0.7435424035312876
# 4037, 0.8275544867787195
# 4038, 0.8325010315760142
# 4039, 0.7442027923641532
# 4040, 0.8507998442088425
# 4041, 0.8507998442087847
# 4042, 0.7509436453246674
# 4043, 0.7633925773434457
# 4044, 0.6151822674409949
# 4045, 0.7951332175252885
# 4046, 0.7951332175252865
# 4047, 0.7910965751176138
# 4048, 0.9222985642869386
# 4049, 0.8077232081629607
# 4050, 0.8077232081628882
# 4051, 0.8367218269124139
# 4052, 0.8367218269123199
# 4053, 0.7879409169508022
# 4054, 0.8767785416111903
# 4055, 0.8767785416111109
# 4056, 0.8024348012357749
# 4057, 0.843061308429305
# 4058, 0.8613572459920519
# 4059, 0.8382025067406381
# 4060, 0.9696138356265295
# 4061, 0.8042967359091577
# 4062, 0.8042967359090748
# 4063, 0.8606612966581976
# 4064, 0.8833410357610403
# 4065, 0.8833410357611149
# 4066, 0.8097941312975989
# 4067, 0.8097941312972166
# 4068, 0.913853554233816
# 4069, 0.48459004884370593
# 4070, 0.9147269436478773
# 4071, 0.9239150304239532
# 4072, 0.9239150304239268
# 4073, 0.8940620621341563
# 4074, 0.886529636133961
# 4075, 3
# 4076, 3
# 4077, 0.8593579163404583
# 4078, 0.8593579163403238
# 4079, 0.9178377113310561
# 4080, 0.927064854843071
# 4081, 0.3992807046316371
# 4082, 0.3992807046315203
# 4083, 0.940632413700214
# 4084, 0.9249432332853396
# 4085, 0.0
# 4086, 0.9304393617745164
# 4087, 0.9304393617749034
# 4088, 0.9305875109716366
# 4089, 0.8982342777653475
# 4090, 0.7947183825011914
# 4091, 0.7947183825008761
# 4092, 0.8540557339671704
# 4093, 0.8624886623933791
# 4094, 3
# 4095, 0.8125673247185619

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