#Iterations	Mean	Other Winners
10000	0
20000	0
24652	4.056301464324829	0
30000	3.3332222259258026
40000	2.499937501562461
50000	1.999960000799984
60000	1.6666388893518442
63998	3.125048828887951	0
70000	2.8571020413994086
80000	2.4999687503906203
90000	2.222197531138543
100000	1.999980000199998
110000	1.81816528940646
118018	2.54196358213508	0
120000	2.4999791668402764
123003	3.2519267666092158	0
123587	4.045700229795773	0
126098	4.758166202745462	0
130000	4.615349112699133
135185	5.178050981610522	0
140000	4.999964285969386
150000	4.666635555762961
160000	4.374972656420898
170000	4.11762283751272
174264	4.590709551545061	0
177898	4.684305888921991	2
180000	4.62960390960791
190000	4.3859418283763425
200000	4.166645833437499
210000	3.9682350718964834
220000	3.7878615703261955
230000	3.623172652872524
240000	3.472207754689911
250000	3.3333200000533334
260000	3.205115877759445
270000	3.0864083219444867
280000	2.9761798469767373
281267	3.3183061469251154	0
290000	3.2183797067366435
300000	3.1111007407753086
306848	3.367562981575085	0
310000	3.333322580679847
320000	3.229156575552368
321273	3.527622320303957	0
330000	3.4343330272736554
338105	3.647771211789597	0
340000	3.627440311450065
350000	3.523799455811079
351845	3.789536710189496	0
360000	3.7036934156664385
370000	3.603593864160728
380000	3.508762696238519
390000	3.418794652663284
400000	3.333325000020834
408144	3.389318338662322	1
410000	3.3739755106288363
420000	3.293642951643766
429235	3.4557523910700256	0
430000	3.4496043807650065
440000	3.371204459383805
441793	3.583872423195728	0
450000	3.5185106996058533
460000	3.4420215028518055
470000	3.3687871586088827
480000	3.298604239018947
490000	3.2312859225457364
500000	3.1666603333460004
510000	3.104569076008348
520000	3.044865939360373
530000	2.987415747014314
539360	3.120977106860402	0
540000	3.1172781778799177
550000	3.0606004958778867
560000	3.0059470131898576
570000	2.9532111931967373
580000	2.902293846619805
588402	3.0308025848497264	0
590000	3.022593747016248
593307	3.1742928349749766	0
597848	3.317448608818169	0
600000	3.3055500463054788
610000	3.2513607901189236
620000	3.1989195716350998
630000	3.148143151095528
640000	3.0989534912185035
650000	3.0512773570091944
660000	3.005045951950578
670000	2.9601945867742487
680000	2.916662377457288
683928	2.973018154418563	1
685083	3.113973371635206	0
690000	3.091782958768659
700000	3.0476146938837707
705758	3.164441875106564	0
710000	3.1455354757716307
717586	3.2516382450258066	0
720000	3.240736239718186
730000	3.1963426534118904
733732	3.316374394137014	0
737306	3.4359274133208197	0
740000	3.4234187971818058
750000	3.377773274080079
758808	3.4044579509907416	1
760000	3.3991183344934197
770000	3.354973997869267
780000	3.3119615658612407
790000	3.27003805480415
800000	3.229162630213379
810000	3.1892964741195793
820000	3.150402662110575
824645	3.253921480651496	0
830000	3.2329278318138575
840000	3.194440641538919
850000	3.156859031146238
860000	3.1201514106766544
870000	3.0842876425812538
880000	3.049238959198153
890000	3.014977885792638
900000	2.981478168727961
906442	3.0706104336768374	0
910000	3.0586046975039958
920000	3.025359030406851
930000	2.992828323123667
940000	2.9609897578123148
950000	2.929821477380901
960000	2.899302535448748
970000	2.869412849402561
974844	2.9577351613162435	0
978334	3.049398552983726	0
979528	3.14777136086153	0
980000	3.146255292936776
987978	3.222065786148626	0
990000	3.215484967523602
1000000	3.1833301500031834
1010000	3.151812060912151
1020000	3.120911972962118
1030000	3.0906118861373275
1040000	3.0608944927296546
1050000	3.0317431443716085
1058561	3.10169204386076	0
1060000	3.0974813545773388
1070000	3.0685329577573603
1074244	3.149498795277924	0
1080000	3.1327131487223934
1090000	3.103972687486831
1100000	3.075754779616867
1108977	3.1410301496813586	0
1110000	3.1381353109892096
1114065	3.2164461830208744	0
1120000	3.199401905295918
1130000	3.171088639154597
1140000	3.1432720965449445
1150000	3.1159393194730556
1153364	3.150202523341122	1
1160000	3.1321812078897633
1170000	3.1054104512161387
1180000	3.0790934357965236
1190000	3.0532187227853873
1199234	3.113095709625998	0
1200000	3.111108518520679
1209596	3.1690995706283442	0
1210000	3.1680414589189048
1220000	3.1420739272618086
1230000	3.116528631548538
1239151	3.174213763390878	0
1240000	3.172040452655549
1250000	3.146664149335347
1256335	3.210393822459385	0
1260000	3.2010556605378357
1270000	3.1758505177030045
1273369	3.2459798278060057	0
1280000	3.2291641438821794
1284378	3.257086368846994	1
1288862	3.284548732746098	1
1290000	3.2816512028543654
1300000	3.256407751481217
1310000	3.2315496960180443
1313448	3.2992018215654615	0
1320000	3.282825795839044
1330000	3.2581429136770077
1340000	3.2338284324663444
1350000	3.20987416552531
1360000	3.1862721669567406
1370000	3.1630147228603
1374817	3.224669253190847	0
1380000	3.2125580585328084
1390000	3.18944614668143
1396707	3.2457273340836696	0
1400000	3.2380929251717205
1410000	3.21512774340822
1420000	3.1924860146812106
1430000	3.170160953267399
1440000	3.148145961935675
1450000	3.126434625447385
1460000	3.105020704323719
1466831	3.1246477669789954	1
1470000	3.117911711171172
1480000	3.0968447543841755
1490000	3.0760605753508448
1496019	3.1305285579961057	0
1500000	3.1222201407421286
1502078	3.1844752062530226	0
1510000	3.1677683215662333
1514742	3.223869219618994	0
1520000	3.2127171846158875
1530000	3.191719046806724
1540000	3.1709936119089104
1550000	3.1505356018049886
1556412	3.2018065470625947	0
1560000	3.1944423967249596
1570000	3.174095642826555
1580000	3.1540064426119567
1580281	3.185085531147817	1
1590000	3.16561645768357
1600000	3.145831367188729
1610000	3.126292054062907
1620000	3.1069939668761526
1630000	3.0879326658899804
1636565	3.1366491380936266	0
1640000	3.1300793922280135
1650000	3.1111092255903685
1660000	3.09236761503959
1667004	3.139362709369998	0
1670000	3.133730658444716
1673335	3.157365486270142	1
1680000	3.1448393979130573
1687726	3.1896943838270846	0
1690000	3.18540245439697
1700000	3.166664803922665
1710000	3.1481463071269165
1720000	3.1298431415640655
1730000	3.111751573168648
1740000	3.0938679537157356
1744819	3.1426355345154997	0
1750000	3.1333315428581665
1760000	3.115528532843637
1770000	3.097926686670422
1772679	3.1496566404163944	0
1780000	3.136702357657852
1780876	3.1913115466892625	0
1790000	3.1750447811667892
1800000	3.157405653293156
1810000	3.1399614328021554
1815438	3.185639029090668	0
1820000	3.1776539316919794
1820134	3.232360969561782	0
1820697	3.286285442908892	0
1830000	3.269579269810964
1830786	3.322796880977052	0
1840000	3.3061576234650603
1850000	3.288286510836121
1853933	3.3352499783343603	0
1860000	3.324370972560409
1870000	3.306593597187025
1880000	3.289005342727655
1890000	3.2716032072646173
1897689	3.311043075177365	0
1900000	3.307015803325016
1910000	3.2897015935244713
1920000	3.27256773998208
1930000	3.2556114392341424
1940000	3.2388299456203034
1940151	3.264349047566033	1
1950000	3.247861582293206
1960000	3.231290868389013
1964810	3.2742759142397584	0
1970000	3.265649780550027
1980000	3.2491566081700634
1990000	3.232829196233235
2000000	3.216665058334138
2010000	3.200661757548048
2020000	3.184816905206153
2030000	3.1691281597069825
2037847	3.205996390964063	0
2040000	3.2026128091767276
2044507	3.244464356868906	0
2050000	3.2357707792988073
2060000	3.220063161781637
2070000	3.2045073086116065
2072622	3.248701444176454	0
2080000	3.2371779308439437
2083303	3.2800461830502576	0
2090000	3.2695359156925448
2098117	3.3045488067560234	0
2100000	3.3015857294036213
2110000	3.285938411087641
2115041	3.325387076631733	0
2120000	3.317608497983413
2130000	3.3020328785448148
2140000	3.2866028255750037
2150000	3.271316307914896
2160000	3.2561713320194454
2170000	3.2411659410909643
2177813	3.2754557245629488	0
2180000	3.2721697528273306
2190000	3.2572283452534196
2200000	3.2424227685957114
2203469	3.2827010730045494	0
2210000	3.2730000273001387
2212402	3.31464626170428	0
2220000	3.303301815329513
2230000	3.2884888093473204
2240000	3.273808062288068
2250000	3.2592578107002326
2260000	3.2448363223438106
2270000	3.2305418955028364
2280000	3.216372858315998
2290000	3.2023275681247885
2300000	3.1884044108386624
2310000	3.1746018003166814
2320000	3.1609181777651534
2324616	3.1976593706977683	0
2330000	3.190270447666475
2340000	3.1766368191010748
2340958	3.2180543671774404	0
2350000	3.2056723947493357
2360000	3.192089042900123
2370000	3.1786203184443105
2380000	3.1652647764993938
2388546	3.174872980658674	1
2390000	3.1729414897037005
2400000	3.159720905671845
2410000	3.146610035984771
2414780	3.181793021120066	0
2420000	3.174929817522114
2420874	3.215090962289806	0
2430000	3.2030165145336706
2440000	3.1898894030507914
2450000	3.176869451617911
2460000	3.163955353405683
2470000	3.15114582274798
2480000	3.1384395947152175
2481330	3.177058334149428	0
2490000	3.165996051139471
2500000	3.153332072000505
2509090	3.1817631697428808	0
2510000	3.1806096225990883
2520000	3.1679881608512592
2530000	3.1554664734651623
2540000	3.1430433820039183
2546275	3.1745707587603755	0
2550000	3.16993339741174
2550174	3.20893010610383	0
2560000	3.1966133346562495
2570000	3.1841751553144664
2580000	3.1718333959302085
2590000	3.1595869396704224
2600000	3.147434686884095
2604348	3.1805773086991542	0
2610000	3.1736897163385507
2620000	3.1615764014339436
2630000	3.149555202957464
2640000	3.1376250741319165
2650000	3.1257849839805094
2660000	3.114033917029856
2670000	3.102370873019648
2680000	3.090794866618831
2690000	3.0793049271481068
2700000	3.067900098308606
2704155	3.1001663119040965	0
2710000	3.0934797933038896
2720000	3.0821067100097883
2730000	3.070816945976699
2740000	3.0596095889502717
2750000	3.048483739945307
2760000	3.03743851300537
2770000	3.026473034967617
2773110	3.0591394766864126	0
2780000	3.0515576553149923
2789555	3.076953226009205	0
2790000	3.076462457659812
2794077	3.1077633957725355	0
2800000	3.101189368622845
2810000	3.0901531114520364
2820000	3.079195125580925
2830000	3.0683145812787114
2840000	3.0575106605009412
2850000	3.0467825566844833
2850667	3.0636094183304876	1
2860000	3.053611985916555
2868156	3.0797942139615557	0
2870000	3.0778154200410848
2880000	3.0671285646544337
2890000	3.056515666718916
2900000	3.0459759611577146
2910000	3.0355086934105295
2910525	3.0693191998055793	0
2920000	3.059359682867689
2930000	3.0489181858072176
2940000	3.0385477193148347
2950000	3.0282475610460247
2960000	3.018016998417681
2970000	3.007855328443773
2975336	3.036070647907559	0
2980000	3.0313188932934363
2990000	3.021180706405561
3000000	3.011110107407742
3010000	3.001106422666748
3020000	2.991168987471638
3030000	2.9812971458865305
3038226	3.0061392165013787	0
3040000	3.0043849766277493
3050000	2.9945345373110808
3060000	2.984748479929691
3066922	3.010617916828474	0
3070000	3.0075994546364426
3080000	2.9978345245126006
3082860	3.027490805888859	0
3090000	3.020495246873167
3100000	3.010751716961812
3110000	3.001070846386652
3111866	3.0314063336682877	0
3120000	3.023503304432702
3130000	3.013843552552646
3140000	3.004245327735034
3150000	2.9947080440080285
3154850	3.02180145221861	0
3157570	3.0350333637258937	1
3160000	3.0326994622259087
3170000	3.023132589968689
3180000	3.013625886700455
3190000	3.0041787865688234
3200000	2.9947907307945636
3200906	3.02518421601544	0
3210000	3.0166138058316285
3220000	3.007245442884438
3230000	2.99793508835859
3233115	3.025976591416248	0
3240000	3.0195463931441173
3250000	3.0102554840239537
3260000	3.0010215743287607
3270000	2.9918441411281935
3280000	2.9827226678691057
3290000	2.973656644278629
3295006	2.999487810900958	0
3300000	2.994948587389317
3310000	2.985900407079434
3320000	2.9769067338634336
3325409	3.002136077456113	0
3330000	2.9979970976985695
3340000	2.9890210611713393
3350000	2.980098612905887
3360000	2.971229274435732
3370000	2.96241257297352
3380000	2.9536480413270096
3388103	2.9613416038390006	1
3390000	2.959684476002613
3400000	2.950979524221709
3404701	2.961590568964137	1
3408009	2.988058524867396	0
3410000	2.9863138847564366
3420000	2.9775819753658945
3430000	2.968900980884068
3440000	2.96027045728572
3450000	2.95168996569373
3460000	2.9431590723047
3470000	2.934677348315846
3480000	2.9262443698531504
3490000	2.9178597179007495
3500000	2.9095229782315304
3510000	2.901233741338915
3511660	2.9283388497162264	0
3520000	2.921400685208139
3530000	2.913124764931606
3533742	2.9194728271599457	2
3536930	2.9451144697667746	0
3540000	2.9425603740413258
3545143	2.966499151139324	0
3550000	2.962440480063715
3560000	2.9541190203785526
3570000	2.9458441795020978
3580000	2.9376155667740504
3590000	2.929432795886872
3600000	2.9212954848253285
3610000	2.9132032558070393
3620000	2.9051557352240147
3630000	2.8971525535851557
3640000	2.889193345459704
3650000	2.8812777494216215
3660000	2.8734054079948796
3670000	2.865575967599646
3670185	2.892678100419616	0
3680000	2.8849629841586095
3690000	2.877144658407049
3700000	2.8693685938643445
3710000	2.8616344487957464
3720000	2.8539418851410705
3722998	2.87850377254108	0
3730000	2.873100212752401
3733521	2.8971750177624958	0
3740000	2.892156089441331
3750000	2.884443675259465
3760000	2.8767722845463783
3770000	2.8691415908554583
3780000	2.8615512711945494
3783181	2.885577978185207	0
3790000	2.880386223292993
3800000	2.872806261542212
3810000	2.865266089606451
3817749	2.8856438128915376	0
3820000	2.8839433986186567
3830000	2.876413522259307
3840000	2.8689228639957824
3850000	2.8614711182326102
3860000	2.8540579825411103
3870000	2.846683157618478
3880000	2.8393463472475053
3890000	2.832047258256918
3900000	2.824785600482325
3906086	2.8459854239464373	0
3910000	2.843136527757069
3920000	2.835883630301795
3930000	2.8286676432567495
3937496	2.8486794190996636	0
3937653	2.8739616702398605	0
3940000	2.87224969401446
3950000	2.864978177642656
3960000	2.857743386091738
3970000	2.850545041844238
3980000	2.8433828701718085
3990000	2.8362565991002677
4000000	2.8291659593751772
4007090	2.8491158964612153	0
4010000	2.84704833406941
4017491	2.8666308897856343	0
4020000	2.8648417417474943
4030000	2.8577329550704
4040000	2.8506593603978483
4050000	2.843620697048388
4060000	2.8366167069088575
4070000	2.8296471344028338
4076894	2.8493906923447057	0
4080000	2.8472215243738095
4087369	2.8665539617569897	0
4090000	2.864709976028531
4100000	2.857722880230192
4107368	2.864769799515619	1
4110000	2.862935232051444
4120000	2.8559863618156083
4130000	2.8490711422749455
4140000	2.8421893295838982
4150000	2.8353406822472254
4160000	2.8285249610917567
4170000	2.8217419292385464
4180000	2.8149913520754346
4190000	2.808272997229993
4200000	2.8015866345428653
4207372	2.8204456002989677	0
4210000	2.8186849995205865
4220000	2.8120056527632737
4230000	2.8053578868342273
4240000	2.798741478284243
4250000	2.7921562057671676
4260000	2.7856018500152153
4265516	2.8054434355007065	0
4270000	2.8024973920771137
4280000	2.7959495025040106
4290000	2.7894321392155077
4295987	2.80882224686537	0
4300000	2.806200897782737
4302131	2.81643303056872	1
4310000	2.8112909177205916
4317036	2.8182910331013304	1
4320000	2.8163573727567814
4321533	2.8384982431392807	0
4326996	2.8580252463005333	0
4330000	2.8560424504905813
4340000	2.8494617090334007
4350000	2.8429112238518264
4359688	2.859531188272069	0
4360000	2.8593265613165384
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