rounded_pos	mean_rate
2700000	0
2720000	0
2740000	0
2760000	0
2780000	0
2800000	0
2820000	0.00115869484612532
2840000	0.0384220397548216
2860000	0.801929101444162
2880000	0.2284201980123
2900000	0.257836595549121
2920000	0.28650197968449
2940000	0.056173198243013
2960000	0.0540220141698845
2980000	0.0641309590652249
3e+06	0.928166498051751
3020000	0.612131899317942
3040000	0.369819119073047
3060000	0.0307437961122509
3080000	0.171709514458023
3100000	0.279170105041822
3120000	0.244381695799105
3140000	1.0122688668344
3160000	1.88327804398428
3180000	0.0354002876907141
3200000	0.0478515015695307
3220000	0.0694582940959422
3240000	0
3260000	0.272486037358513
3280000	0.720157669969762
3300000	0.0497111198276147
3320000	0.12344776633871
3340000	1.22021069173993
3360000	0.161711440725447
3380000	0.2648200452644
3400000	0.0871617012957595
3420000	0.248027339765416
3440000	1.30595011443186
3460000	0.325896293251255
3480000	0.227548608039585
3500000	0.548342302741719
3520000	4.39601074374521
3540000	5.34478776226811
3560000	1.95980903611668
3580000	2.52075610691365
3600000	6.67496470436349
3620000	7.87426752444878
3640000	0.920665779500719
3660000	2.60563471215074
3680000	1.02259868964119
3920000	1.07581015891618
3940000	0.539287357929117
3960000	0.0610120363959546
3980000	0.0819365362748134
4e+06	0.205740134272028
4020000	0.457882337828789
4040000	0.248986849879729
4060000	0.106526976206846
4080000	0.175132952161462
4100000	0.0409837803662951
4120000	0.89254600506575
4140000	0.0556650154898313
4160000	0.0874503348637604
4180000	3.36062564973718
4200000	0.477396809497023
4220000	1.84501583905083
4240000	0.0595518137176904
4260000	0.0314451056627656
4280000	0.365647420367965
4300000	0.0436220024209932
4320000	0.0203538792689647
4340000	0.0461949157964242
4360000	0.0440702640407983
4380000	0.0505612746535138
4400000	0.0492940611882553
4420000	0.0447806935254478
4440000	0.608277908368107
4460000	0.157080710310099
4480000	0.0820302527817503
4500000	0.171776246311974
4520000	1.27641289690303
4540000	1.94060245088473
4560000	2.09029681341363
4580000	0.613648237133859
4600000	1.98724643603283
4620000	10.0507362615639
4640000	0.500600161524619
4660000	0.424081044695084
4680000	1.45255318258101
4700000	0.993836588477581
4720000	0.318770596899939
4740000	0.285779286587716
4760000	5.45162532835887
4780000	0.651939013743288
4800000	0.299288019331742
4820000	0.37004527383876
4840000	0.513050698414508
4860000	0.151859832322694
4880000	0.146457851046177
4900000	0.386043072672829
4920000	0.130004655973137
4940000	0.0703836993142735
4960000	0.324518525120522
4980000	0.221548541565426
5e+06	0.172962793393951
5020000	0.129203052533105
5040000	0.0846665506209462
5060000	0.102336415196732
5080000	1.70836744258991
5100000	1.857586910213
5120000	0.222927239793666
5140000	0.0719591551216449
5160000	0.314279123844115
5180000	0.74492366194715
5200000	1.91070360299495
5220000	0.665011985306513
5240000	0.283438175875721
5260000	1.20790333002445
5280000	0.666623247542788
5300000	0.752348790846812
5320000	2.22170411852419
5340000	1.30609940285705
5360000	23.6594965554445
5380000	0.18150643565131
5400000	0.208258182811614
5420000	0.195332235820888
5440000	0.184438530480658
5460000	5.18275184194021
5480000	1.20960711863454
5500000	6.34902321709991
5520000	0.157778591597666
5540000	0.436157282559725
5560000	0.778670121994123
5580000	0.604300795483551
5600000	0.497259460062224
5620000	0.154150537329484
5640000	0.299301060015591
5660000	1.90012279798223
5680000	0.322344981289372
5700000	0.939396303733655
5720000	17.3695028712459
5740000	13.4686710951816
5760000	0.224717407982268
5780000	0.288823165675045
5800000	0.107767425609905
5820000	0.0440032117373531
5840000	0.0820791278776346
5860000	0.85963918016023
5880000	0.197273036635563
5900000	0.206528229389946
5920000	0.21812773236451
5940000	0.115153694174512
5960000	0.0883664942874897
5980000	0.0679729845787342
6e+06	0.0558953009856085
6020000	0.409210051839132
6040000	4.18282355280411
6060000	0.313854411343148
6080000	0.260990955778595
6100000	0.278547897286066
6120000	2.18266905172529
6140000	2.34887228187063
6160000	0.945005902614016
6180000	0.605531296712134
6200000	0.0662272266442975
6220000	2.9659500845399
6240000	1.71228401530387
6260000	0.690473116321102
6280000	0.931374340352177
6300000	1.03447887475829
6320000	0.397786161738421
6340000	0.384374763489582
6360000	0.715640815510771
6380000	1.78060727968064
6400000	0.140226802070343
6420000	0.917663478928125
6440000	0.150140106433219
6460000	0.176609594391555
6480000	0.435772954816614
6500000	2.79054702296348
6520000	0.948734804473308
6540000	1.36763247312182
6560000	0.75104579067638
6580000	0.423315421188025
6600000	0.568038114396413
6620000	0.708985216550343
6640000	4.28206499085981
6660000	42.8384141315859
6680000	2.85403993093545
6700000	0.843569722992823
6720000	0.660705903644034
6740000	0.201444653944277
6760000	0.0824333202368647
6780000	0.15067001116055
6800000	0.592915630270369
6820000	2.32722424226217
6840000	0.702895348736147
6860000	0.165820224973355
6880000	0.605905797138265
6900000	0.296194267650112
6920000	1.51220479553344
6940000	0.288741235420953
6960000	0.130730004319634
6980000	0.0994477515485944
7e+06	0.0836667962136314
7020000	0.0416404491356352
7040000	0.0383159172947744
7060000	0.04967984102454
7080000	0.0881462581348538
7100000	0.0271059354967686
7120000	0.0271724362806219
7140000	0.0365337929754446
7160000	0.0408354278741405
7180000	0.043351546094132
7200000	0.0659747259471573
7220000	0.149861854692707
7240000	0.305425573593455
7260000	0.173535580711539
7280000	0.147605749005379
7300000	0.257325384592372
7320000	0.416995949666235
7340000	0.143222127457856
7360000	0.0771184271398498
7380000	0.0732733271080733
7400000	7.56817388159162
7420000	0.344932037986021
7440000	0.167543498301346
7460000	0.534697316052623
7480000	0.16834531379179
7500000	0.274756725815688
7520000	0.199946123549867
7540000	1.46136865458345
7560000	0.626563153985572
7580000	0.672447520326519
7600000	2.30022745009929
7660000	0.267759677847289
7680000	0.63634049418417
7700000	0.464131733991237
7720000	0.330810048499127
7740000	0.396470510376525
7760000	1.57978563126859
7780000	1.23617470236228
7800000	13.3580155537415
7820000	6.92746342377315
7840000	0.12202865271125
7860000	0.244780164922088
7880000	0.110756030664316
7900000	0.13032343102467
7920000	0.271882255833397
7940000	0.230638414620141
7960000	0.492835237822578
7980000	5.43703023833547
8e+06	0.852013495716088
8020000	0.533364284001489
8040000	0.384784154613074
8060000	0.195562397991535
8080000	0.0729258422309189
8100000	0.185695771905187
8120000	2.16916192564388
8140000	1.50251672773156
8160000	0.470942045165451
8180000	0.298241205439044
8200000	0.223423268948364
8220000	0.461084100611999
8240000	0.105134420064572
8260000	0.0901706542385402
8280000	0.322751413886909
8300000	1.33914178409337
8320000	1.40440953725122
8340000	3.03415351147031
8360000	0.222684290870153
8380000	0.144918027874253
8400000	0.408747123477874
8420000	4.42115654415307
8440000	1.78024439490822
8460000	1.17042596087097
8480000	36.1848132715433
8500000	2.73242684338951
8520000	6.10048517121588
8540000	4.48344795841235
8560000	0.489242071479036
8580000	0.85205612052053
8600000	2.87320167992759
8620000	4.89086587795578
8640000	6.83683320699608
8660000	0.679758022415752
8680000	0.37222736177558
8700000	0.615542935293801
8720000	0.30040072502305
8740000	0.325244255247178
8760000	0.229853021738665
8780000	0.516091717707833
8800000	0.337205549856421
8820000	2.15880919993466
8840000	1.61409011703816
8860000	0.279733994480817
8880000	0.292986155330818
8900000	9.0811259633582
8920000	39.3111809582178
8940000	2.83683375479183
8960000	0.829149055344468
8980000	0.966440910128651
9e+06	1.07374024782429
9020000	0.918487654953895
9040000	0.324633330099851
9060000	0.458754997629709
9080000	2.12442060533017
9100000	5.76776665830727
9120000	3.3997129529961
9140000	2.60309456219109
9160000	9.79359477828522
9180000	0.760559347532372
9200000	8.89912455718682
9220000	9.33814746167139
9240000	2.11730852009459
9260000	12.1653098636943
9280000	2.65728748195703
9300000	0.585584672005194
9320000	1.64498050598211
9340000	4.32737972079483
9360000	0.961619920696698
9380000	1.29129213707534
9400000	3.14462246093783
9420000	8.13461508654783
9440000	3.34427765514422
9460000	0.498419172472959
9480000	0.373887311866186
9500000	0.559514616769661
9520000	3.250205106677
9540000	4.50474400708607
9560000	1.23023056702924
9580000	4.5198281714422
9600000	1.29717684897565
9620000	2.35842603890786
9640000	1.85425372379452
9660000	7.4813856197552
9680000	5.32279958789555
9700000	1.15438113112323
9720000	5.43713128505597
9740000	9.30199811338067
9760000	11.4806990659768
9780000	5.24502771719918
9800000	6.23053819324257
9820000	8.1013927572575
9840000	1.38238306635317
9860000	3.39000486591746
9880000	8.45743049168502
9900000	11.6910046829546
9920000	10.4371011714075
9940000	7.48274199876179
9960000	3.26318781817583
9980000	0.870933511714317
1e+07	0.560769992962027
10020000	0.506712200050249
10040000	9.03753981345988
10060000	5.81099295458552
10080000	3.1328348169684
10100000	1.90756772877759
10120000	1.22965927409681
10140000	2.45299530325556
10160000	1.30185342955283
10180000	26.9950413552929
10200000	0.280950071289364
10220000	0.0639943606071992
10240000	0.113724879405975
10260000	0.0948346557358253
10280000	0.459514812161865
10300000	0.152786109037102
10320000	2.59410801866023
10340000	0.256278032742304
10360000	0.231528330201578
10380000	0.304457572604693
10400000	0.178756399074325
10420000	0.151483816095277
10440000	0.177273502591742
10460000	0.240852263669596
10480000	0.349705929104962
10500000	0.859869488722304
10520000	0.101806159580199
10540000	0.0900801306124441
10560000	0.242834202096925
10580000	0.116307748547648
10600000	0.0959874399639946
10620000	0.111326546853605
10640000	0.116810824522799
10660000	0.22557999646896
10680000	0.19014815111583
10700000	1.22462199389694
10720000	0.13548013673527
10800000	0.278943413945891
10820000	1.06687812120277
10840000	0.36685572725895
10860000	1.08321347381586
10880000	0.041097308698427
10900000	0.0738737616313662
10920000	0.0877268867988626
10940000	0.149297798094121
10960000	0.0946564151268816
10980000	0.0882067566375096
1.1e+07	0.0889205050684722
11020000	0.0887874847588373
11040000	0.0744506565167743
11060000	0.221761558115988
11080000	0.35592424823802
11100000	1.12213065139455
11120000	1.19770385978612
11140000	0.992162520126906
11160000	1.16592632522286
11180000	0.259155854946823
11200000	0.22116436065758
11220000	0.15023848102195
11260000	0.978108637378686
11280000	0.616366668426694
11300000	0.842094762007257
11320000	0.0948394531236832
11340000	0.10252939509949
11360000	0.181750656696535
11380000	0.560698183957046
11400000	0.178162982150413
11420000	0.16203377980027
11440000	0.116380128892414
11460000	0.18603229712135
11480000	0.13925001527878
11500000	0.0936233769425652
11520000	0.0794743557489579
11540000	0.186764082667515
11560000	0.145714694507955
11580000	0.0692780108141489
11600000	0.218913616920742
11620000	0.120664809510277
11640000	0.0727157437044117
11660000	0.0912346331711693
11680000	0.303227787389282
11700000	2.73305427426396
11720000	0.485673302793774
11740000	1.8051053228515
11760000	0.760088793813992
11780000	0.222439892968152
11800000	0.288140439457465
11820000	2.73302793406111
11840000	0.0890087663614738
11860000	0.260118041219402
11880000	0.262093218126304
11900000	0.252568690857526
11920000	0.219696213287998
11940000	0.0805253816941657
11960000	0.127565742054577
11980000	0.127859758549752
1.2e+07	0.119212593574095
12020000	0.13729926338803
12040000	0.149621995447012
12060000	0.118344740195084
12080000	0.17836400923306
12100000	8.63058383613608
12120000	1.33534075359363
12140000	0.234845364860238
12160000	0.0913109502107256
12180000	0.0985236916994813
12200000	0.214264701912556
12220000	2.03068919715298
12240000	0.340076014459147
12260000	1.13775268238438
12280000	4.32871633700085
12300000	0.317716885028103
12320000	0.341429728280565
12340000	0.807335214148302
12360000	3.24490054653947
12380000	1.05393768807593
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12420000	45.4300465751305
12440000	0.758879804965117
12460000	0.505694729108905
12480000	0.29774635955584
12500000	1.21759321198601
12520000	2.54201882202948
12540000	4.24071864199261
12560000	0.486063390295477
12580000	0.302079151168225
12600000	1.71491125774432
12620000	6.72119270704566
12640000	0.352771673284768
12660000	2.04698887611399
12680000	20.4644705413756
12700000	4.73349460629856
12720000	14.7907167944214
12740000	4.40332007167738
12760000	9.49810104739867
12780000	1.72124709030127
12800000	0.767381643309836
12820000	16.0315106169498
12840000	7.95178328042169
12860000	10.8768209428253
12880000	2.43773461166393
12900000	7.71914285407837
12920000	1.36987066307708
12940000	0.50484506416623
12960000	1.96810893433755
12980000	0.953228481665292
1.3e+07	1.46858602040872
13020000	4.98927306795538
13040000	0.737846135808656
13060000	0.353062993279815
13080000	0.185130583764278
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13220000	11.0318756759829
13240000	4.61741284898853
13260000	7.42767222840095
13280000	2.91905039259225
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13420000	0.709601887250165
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13460000	14.0130433208344
13480000	3.71583867461125
13500000	17.852033650006
13520000	24.7537587448836
13540000	0.592025673424043
13560000	21.4223421602923
13580000	3.59764588395303
13600000	6.09060212482271
13620000	2.06109901673732
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13660000	0.580213421368491
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13700000	1.97304075829059
13720000	0.333099808615561
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13780000	0.307663601726946
13800000	1.8269600734226
13820000	1.03674071394669
13840000	1.97990714120544
13860000	8.61706321599372
13880000	2.84665678226771
13900000	3.75540966638677
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13940000	0.709100955448279
13960000	1.1259574645885
13980000	0.335517612461062
1.4e+07	0.343479200852941
14020000	0.293367787288307
14040000	0.313233380033639
14060000	0.618118369096486
14080000	0.245660749579112
14100000	5.59195402496976
14120000	0.366992426658617
14140000	0.493977430145649
14160000	0.406032805327963
14180000	0.499772830532026
14200000	1.76337165178194
14220000	0.128523391322421
14240000	0.153248297108983
14260000	0.20512820512839
14280000	0.878991931725893
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14320000	0.443626470928084
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14360000	0.367688347446275
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14800000	0.0671258898129124
14820000	0.0736220319993589
14840000	0.0619398703588815
14860000	0.084703270845256
14880000	0.159327760914744
14900000	0.0873052264172646
14920000	0.158377454049607
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