# paper: How Accurate is OPR?

Thread created automatically to discuss a document in CD-Media.

How Accurate is OPR?
by: brennonbrimhall

By taking Team 20’s scouting data and comparing it to OPRs, we are able to quantify how accurate OPR really was for 2013.

By taking Team 20’s scouting data and comparing it to OPRs, we are able to quantify how accurate OPR really was for 2013. The results are very informative, and it is concluded that OPR should not be used to predict a team’s scoring output at an event in lieu of real scouting.

How Accurate is OPR.pdf (438 KB)
Dataset.xlsx (14.3 KB)

How did you validate the accuracy of your scouting data? Why did you choose to use percent error, rather then absolute error?

A few more things that would be interesting to look at:

Do the results change if you only look at the top 24 or 30 teams at an event (the teams you would be considering when forming a pick list)?
Is there an OPR at which it becomes more accurate? Looking at chart 13, OPRs above 15 seem much better then those below 15 (obviously game dependent).
Can you quantify the percent chance that Team A is better then Team B, given a specific OPR difference (IE, Team A has an OPR that is 1 higher then Team B, and has a 55% chance of being better then Team B, but Team C has an OPR that is 10 higher then Team B, and has a 90% chance of being better then Team B.
Does the percent error histogram still look normal if you discard the outliers and put more bins between -100% and +200%?

These are all good things to think about. Particularly, you may want to reconsider your use of percent error as opposed to absolute error. I’m estimating here, but it looks like absolute error would’ve been pretty consistent regardless of true scoring. Take a look at the correlation of those; I’d bet very little of the variation in absolute error is explained by variation in true scoring average.

If there were such a correlation, you would have noticed it in the residual plot for your OPR

-True Average linear regression. I didn’t notice a residual plot in your pdf; they are essential for determining if your model is a good fit for the data.

Merry Christmas!

At our events, we scouted collaboratively with other teams. Accuracy actually became a prime concern of ours, so we had every entry into our scouting database checked over by our head scout before entry (who had been watching each match as a whole immediately before validating). Additionally, we recorded matches for further verification. There were a few instances I can recall where errors were detected in entries, and we used our footage to re-scout that robot for that match.

This was an attempt to make the results of our paper more applicable to other events in the 2013 season. Archimedes, for instance, is hardly indicative of the average regional or district event, and yet it forms more than half of our data (51%, to be precise; out of 196 event/team combinations sampled, 100 were from Archimedes).

Let me get back to you on answering your questions backed up with relevant diagrams and calculations. I’d also like to look at posting our dataset too. However, here are my suspicions:

• If you see my response Basel A’s question below, sampling only the top 30 or so teams from each of our competitions should decrease the percent error, which would change the percent/tolerance table for the better. OPR

should become more accurate.

• I have no idea. Really intriguing question, though.

• Since we do have the averages and standard deviations for each team, you could let Team A and B be represented by a variable with mu equal to their Average Score and sigma equal to the Standard Deviation in their score. If you subtract the two means and add the two variances, you should be able to find the number you’re looking for by integrating from -infinity to 0 and 0 to infinity. We used this method to predict match outcomes, but it was not very accurate. I don’t know of a simple way to extend that to OPR

, though.

• I’ll get back to you.

If you look at the scatterplot on slide 9 and compare the least squares line to the scatterplot, you’ll see that absolute error decreases as Average Points Scored increases (I did have a residuals plot in here previously, but it looks like I accidentally removed it before I posted it). The percent error decreasing as Average Points Scored is not simply a function of the denominator for the percent error calculation increasing.

I did do a residual plot, and include it previously; it must have been accidentally removed during my revising. I’ll make sure to fix that to back up my previous claim (see answer to previous question).

This thread combined with watching Searching for Bobby Fischer earlier today got me wondering how to apply the Elo Rating to FRC, and I think I figured it out. This is the resulting data from the 7 weeks of the 2013 season (Sorted by rating)

``````
4650	982.089794296798
4755	998.879722986273
1160	1005.63580696492
4234	1007.80265488653
321	1007.93578705957
4060	1014.18233417492
865	1019.24769809173
204	1020.69112670188
818	1026.19352966173
4398	1026.94694016844
1506	1027.13742298458
3167	1028.83751255313
4573	1029.51467487536
3607	1031.21268304486
3453	1031.409363359
2506	1032.43385656209
4532	1032.58573597814
4471	1033.6777037715
1255	1036.95596581586
3515	1037.28640791865
2902	1037.42220102578
4081	1037.84181433329
4680	1039.48464889698
2171	1040.8630633741
4743	1041.31651481374
2926	1042.093260529
451	1042.62182460209
322	1043.6491404653
2832	1045.7148780529
4517	1047.40106468987
4032	1048.18782072589
581	1049.54403251529
4404	1052.80909969208
3536	1053.85665934844
4653	1056.60256481931
1941	1057.03537072986
3256	1057.419034185
4289	1060.95837747809
2853	1061.25162605869
3302	1061.69907895085
3237	1062.41655580015
3783	1062.87822077035
4454	1063.26768643071
4406	1063.49864842402
1922	1064.38666730322
1522	1064.83589998138
4793	1066.85041465773
3493	1067.18136428509
1675	1067.33292602519
2405	1067.96609174255
1351	1068.64718936007
1661	1069.05052097351
3491	1069.21829793876
4721	1069.35729443129
3719	1069.61730092672
4337	1070.04721840224
2180	1070.50167915705
1607	1071.82120266813
280	1072.28193752885
3716	1072.42100870067
4782	1072.53570071915
907	1072.77895957834
3853	1073.96657546736
3398	1074.12978051664
3831	1074.83144694104
423	1074.93771105545
4387	1075.14320913319
3623	1075.95829915874
4637	1076.99431785768
4785	1077.39028590692
4010	1077.58097698408
3259	1077.66200955262
313	1077.96750350088
752	1078.16212218756
3640	1078.17050159868
2156	1078.77450505749
4373	1079.01398736869
4275	1079.43107862278
2347	1079.61536832881
3055	1080.49350385937
3100	1081.2064890464
1209	1081.44587036605
2458	1081.69975698823
4747	1081.86246365315
548	1082.03753483035
1802	1082.10845458727
3740	1082.5393333918
3706	1082.66358990428
3615	1082.99884972842
4088	1083.3464915471
1989	1083.64787319436
2530	1083.65739551926
4507	1083.79174528648
4639	1084.08420058144
533	1085.14076476803
2107	1085.6233250042
4255	1086.28039414152
1793	1086.63990158416
3929	1086.89315133324
2191	1087.68429042904
3494	1087.90313183886
519	1088.18490654803
1289	1088.36782281918
4395	1088.56800522471
3585	1088.66650374476
857	1089.02084028869
3140	1089.6851438625
3568	1089.8180245225
2945	1090.09134827095
1764	1090.24097469259
73	1090.40285198676
4044	1090.52338655588
4753	1091.05346478885
3603	1091.61933041254
3081	1091.78368162201
3591	1091.98321459319
4779	1092.33068291562
3988	1092.36348562938
1881	1092.74872026685
3635	1092.81734459584
3861	1092.92803848603
3566	1093.4281570555
2083	1093.52538448422
2944	1093.53911741688
4131	1093.67536152029
4652	1093.74723929319
709	1094.03997707831
2917	1094.53167873938
1422	1094.56191474946
4171	1094.57727130836
3197	1094.62924479297
3451	1094.86168861649
1561	1094.9630856137
1099	1095.10908758044
4090	1095.17189499012
4083	1095.45198757451
4834	1095.55371195256
3083	1095.66946863574
2856	1096.34627763784
2838	1096.43318095319
1230	1096.4349285908
256	1096.61169329686
4849	1096.67558771439
3402	1096.76389419352
1518	1097.18679135328
1754	1097.87583607985
4300	1098.17013341134
4456	1098.19424768811
4293	1098.61185022255
4547	1098.67318070806
4317	1099.09060314272
4161	1099.20861089011
3180	1099.32442737796
3388	1099.34055814799
3022	1099.46749688019
4403	1099.53870310003
1817	1099.76583418906
4380	1100.04566326468
1528	1100.23736924777
4555	1100.31988326256
4726	1100.41776108631
4105	1100.43931577878
3728	1100.54906331261
1529	1100.66929220804
3602	1100.75055144086
1446	1100.77564419029
4856	1101.63239304157
3175	1101.9981405542
3169	1102.00840529749
4807	1102.18542834292
2075	1102.34543882834
1537	1102.64399793526
4774	1102.86871945862
3667	1103.1218418768
1723	1103.13925498594
371	1103.49120376432
2910	1103.55594157467
2234	1103.64397887364
695	1103.80312438578
41	1104.07730737463
4041	1104.3298532874
4154	1104.5932557378
4479	1104.62904161116
3513	1104.75997758067
3811	1104.97968839489
1257	1105.00442979457
2815	1105.1607201723
4344	1105.23226510311
3321	1105.26495457806
3981	1105.69951323104
3570	1105.95378552135
3969	1106.0154688691
2382	1106.01564504937
811	1106.04754670705
467	1106.07365350854
3699	1106.11403969191
529	1106.14605747221
4750	1106.26307329814
2342	1106.26776219767
2136	1106.38974007382
4372	1106.48508435435
1994	1106.97069886758
2874	1107.17929644413
1649	1107.32863944582
1617	1107.33797689857
1633	1107.50116491359
1137	1107.51606024809
2104	1107.53877538552
4675	1107.60213007288
63	1107.68408303326
1823	1107.71573241874
4470	1107.72759674141
4078	1107.91082565798
3973	1108.12323540307
4277	1108.14108751741
3337	1108.25488577378
4787	1108.26229647447
3035	1108.26500924424
2660	1108.28865759995
319	1108.3199317638
4773	1108.35835814322
4382	1108.41089118593
1058	1108.41672535955
1729	1108.91463502038
4478	1108.99204822242
4053	1108.99700357095
4377	1109.0264437023
3646	1109.03616832717
606	1109.52997827214
3788	1109.61153338867
3822	1109.64835718264
2895	1109.66526065837
4480	1109.66794025485
3283	1109.72171943257
3026	1109.77903930616
3575	1109.8337117978
4202	1109.83383180133
1972	1109.94716524097
3754	1110.02131721571
877	1110.10456031646
3168	1110.33939000611
3218	1110.60211576571
4671	1110.89361245317
4160	1110.98872836854
4672	1111.28350140025
4600	1111.32092415261
3201	1111.35554263891
988	1111.55203562623
3976	1111.73986196145
223	1111.82629743883
2498	1112.00819339418
2725	1112.01843636642
4165	1112.02227421547
4483	1112.06888761806
2455	1112.2320417372
1847	1112.51387556671
3800	1112.56999807922
3469	1112.66084022159
3705	1112.68338018752
2207	1112.75398379075
4748	1112.85552992071
1178	1112.93802787508
2423	1113.17018843453
3527	1113.25330083813
4050	1113.28369571121
2186	1113.31608281745
2404	1113.49989039187
3224	1113.56330639136
3381	1113.58518288808
4796	1113.61698112973
3639	1113.76525833464
2993	1113.78893544838
854	1113.8002233083
2070	1113.87550192555
614	1113.91283859423
4271	1113.93011576015
3555	1113.93909314656
3390	1114.10461173202
3668	1114.43388049551
2761	1114.5208212981
4608	1114.53833235578
2879	1114.80413477142
4034	1114.81184536521
3054	1114.85050185298
1389	1114.92244008114
3940	1115.17764241306
1280	1115.23810961201
2909	1115.25233719677
4685	1115.30074192017
4141	1115.57035389715
4209	1115.61855546881
590	1115.66757821772
3379	1115.87494240893
571	1115.94506923896
488	1115.95387186558
2912	1115.99432320944
433	1116.2067690365
1546	1116.28544908823
4768	1116.40533115538
3967	1116.43952328273
1126	1116.44009612737
4314	1116.53944856438
2803	1117.46529844291
1245	1117.72529301458
2261	1117.8043673863
619	1117.82828609388
835	1117.8989366004
1258	1118.6618775821
3743	1118.93378077197
751	1119.15672468365
3543	1119.44170603868
4810	1119.52092376664
3009	1119.54572255335
2224	1119.60552201394
4786	1119.61577576642
1304	1119.62672586039
457	1119.63574285791
2340	1119.87608281233
617	1120.0349540844
4643	1120.24544030326
2495	1120.3889744376
3353	1120.67595098316
292	1120.79194943679
4252	1120.95491896701
4076	1120.97094029801
4720	1121.01128511953
4811	1121.03119282398
3815	1121.08194590371
2432	1121.08392856245
691	1121.25053277638
3509	1121.56112238182
2367	1121.57249278055
3415	1121.57986718985
1721	1121.59854414128
3366	1121.61139038932
2358	1121.7994231
3876	1121.97614540607
53	1122.08488939136
1811	1122.12447053853
1014	1122.33615512431
3318	1122.4423448386
4246	1122.56620512879
3368	1122.62781014975
2010	1122.64224177735
2830	1122.77958232268
937	1122.81526825817
4467	1122.94634073777
4390	1122.94868106553
4846	1123.13300295534
2022	1123.13818700882
4835	1123.55145563676
4197	1123.83876144016
2811	1123.84784804467
3037	1123.86249375673
4833	1123.88222989458
2537	1123.98196857956
3521	1123.99340494413
4572	1123.99455527509
3029	1124.12485780296
3996	1124.31232212453
3951	1124.31712537787
4497	1124.39025940925
4114	1124.42873888487
3532	1124.64021597458
4396	1124.66244939679
4023	1124.70094339864
3735	1124.73972298578
4804	1124.79248490191
2747	1124.84620019496
3128	1124.87343115242
3357	1124.88449455382
2980	1124.98039650169
4621	1125.30686137498
4489	1125.39306023175
4104	1125.4757321273
3049	1125.52471101168
4238	1125.56000493963
4051	1125.59033290961
4240	1125.74974882145
2544	1125.77386410566
4723	1125.85270404079
665	1125.94296280064
117	1126.09098497072
4593	1126.09846385299
4854	1126.19486187291
1785	1126.19734986916
3637	1126.24229968996
1396	1126.34669262602
4725	1126.44849672692
1748	1126.46644284942
166	1126.50389158326
4189	1126.62626324781
2205	1126.90995980571
4376	1126.96422190851
4235	1127.08146092703
2240	1127.09311872742
3729	1127.20861681004
2942	1127.22056405988
2849	1127.25197709012
4107	1127.26392119278
4719	1127.29336875316
4546	1127.30119210111
4585	1127.33137856279
4216	1127.34129833445
3023	1127.35717777988
4400	1127.50311794377
1942	1127.51054529995
4013	1127.59298828622
4036	1127.69258767289
3794	1127.77712657412
4767	1127.8118361406
4262	1127.81888372012
2134	1128.10243966058
4349	1128.32499707399
2662	1128.41016653741
1143	1128.56972143302
714	1128.60348288075
4064	1128.60791813184
1700	1128.77835103524
2412	1128.79693053383
4047	1128.82569745581
4091	1128.92414430544
4280	1129.08937450395
4272	1129.41514505836
2591	1129.68250786
88	1129.70767705192
4604	1130.04304419249
692	1130.04591547876
339	1130.11150667682
4510	1130.22847090006
157	1130.54589495766
4554	1130.77880583878
2861	1130.86702183227
3936	1131.08390301678
3098	1131.35615081971
3340	1131.38908017229
4193	1131.73501409751
3225	1131.82182692271
2839	1132.0378043708
1124	1132.04374782001
4843	1132.06854216563
2172	1132.23429225976
1703	1132.25313058243
3516	1132.43721232589
1156	1132.45128175716
2465	1132.52934505209
81	1132.70141930537
4851	1132.70232544743
4664	1132.75449767075
3152	1132.76302896686
4838	1132.83470089359
1182	1132.88814147209
2785	1132.93885368371
4020	1132.96349140125
2337	1132.99812341583
484	1133.16057533758
4830	1133.17375468716
1631	1133.26136656671
3987	1133.37341478829
2600	1133.52427458765
2846	1133.83096655337
4633	1134.03231294989
3182	1134.03535955453
3597	1134.13966780856
2473	1134.48551940768
3767	1134.53442941965
4353	1134.80458931333
4260	1134.80832197996
3880	1134.84145489137
3975	1134.84260247014
3559	1134.97560676169
357	1135.03823526221
2819	1135.16640880511
4586	1135.20572089565
1774	1135.22514716772
271	1135.49698548722
1642	1135.51298095052
771	1135.58828161515
1604	1135.68585710195
4226	1135.72656356091
2900	1135.79399449046
768	1135.84582473902
2477	1135.84649675504
1303	1135.84919196811
3953	1135.89714896979
141	1135.90014880396
4666	1136.0689885917
2167	1136.0856164406
1254	1136.40396313889
3833	1136.40452870554
3103	1136.53581386347
3281	1136.72210099405
1791	1136.73938816667
3828	1136.77743130474
4769	1136.78407372899
2817	1136.80728216582
302	1136.87792039188
2658	1136.95319771839
4217	1136.98837904212
2503	1137.00878718604
4556	1137.21102345393
3798	1137.32501486933
3530	1137.68747428216
2185	1137.88064986667
1072	1137.91463256153
4771	1137.93171352201
1307	1138.11823203582
3136	1138.12804958135
4713	1138.26572949528
4808	1138.31499585144
4598	1138.38515461681
2737	1138.43334261694
3243	1138.4359735702
2923	1138.44688475226
4836	1138.62509667444
4261	1138.68534187476
3419	1138.70264264397
3229	1138.72819724404
3045	1138.7485025971
4263	1139.01825577877
1391	1139.05299094762
4029	1139.21456277186
1051	1139.25578995844
3745	1139.35836346362
834	1139.37564942425
4389	1139.39493284325
1033	1139.41581725563
1808	1139.49493377649
2933	1139.51536364018
4711	1139.51564686851
2039	1139.63185039296
1274	1139.68801366771
3272	1139.75819221862
2969	1139.787778779
3814	1139.79334845991
1188	1139.80792604304
3053	1139.87224577181
613	1139.89529228172
2425	1139.96944529087
3782	1140.02532372531
4705	1140.13884281152
2472	1140.32955372616
2554	1140.36914172906
4167	1140.40134575295
352	1140.40717844545
3562	1140.5045701631
1601	1140.57066605605
2987	1140.87662252822
3690	1140.91391464484
4859	1140.91825536466
3294	1140.96388122722
1379	1140.9958026186
640	1141.00283000596
4251	1141.01960945303
4111	1141.03773350231
894	1141.09488551451
4348	1141.1211725928
4136	1141.16281359348
2855	1141.24777504059
4703	1141.26576093999
3142	1141.365194835
2029	1141.37582777157
1846	1141.41994656638
1203	1141.48409634923
4355	1141.48800034575
3632	1141.49623526039
4296	1141.49822020607
4211	1141.51498468485
3979	1141.59128202486
272	1141.64507293338
4410	1141.69178683471
3765	1141.74182920284
3176	1141.77068290111
3926	1141.79379902706
3749	1141.80338434396
3382	1141.85354969536
3275	1141.91639055868
4486	1141.93560850983
3290	1141.94635161456
2444	1142.13876343155
3482	1142.16993677783
3533	1142.22834512673
3247	1142.30752451742
4409	1142.38439709454
1739	1142.43036582849
2183	1142.47568399063
4784	1142.50149603286
3397	1142.59158524174
3475	1142.60105025924
1677	1142.75693293549
4283	1142.79103818027
585	1142.90133282818
4163	1142.91070696072
4195	1142.94470297434
4228	1143.08014215923
1148	1143.11582613392
337	1143.11633886144
4058	1143.3409274469
2122	1143.47048653797
4178	1143.52764696299
4722	1143.61218925218
3000	1143.93276613032
4778	1144.02463726571
2161	1144.05327603255
4052	1144.07836240164
1672	1144.09712610693
1438	1144.10179482169
1997	1144.12092370351
2262	1144.1821028788
4267	1144.21432958415
1795	1144.2359929468
1827	1144.24150264485
4327	1144.55126104441
4128	1144.56273996054
4016	1144.66447152114
4338	1144.7923284902
3872	1144.88779882877
384	1144.96136509384
2982	1144.99863725656
4745	1145.15967413172
3658	1145.17469949042
4616	1145.19031646509
4550	1145.24859604471
3619	1145.29501901995
4777	1145.30582631384
3550	1145.36890087707
4566	1145.51495400684
2882	1145.60419826667
4628	1145.65109766582
1777	1145.69946740773
3618	1145.73159112334
1712	1145.76489490089
2200	1145.87223487943
2370	1145.87445839156
4535	1145.90209413913
4795	1146.03828902451
2081	1146.07276956078
4580	1146.0937225378
4463	1146.24566621425
2085	1146.57813905531
4151	1146.75994493287
2004	1146.78066808963
4538	1146.78629385588
4230	1146.93032292252
4839	1146.96341090907
4825	1147.01795295115
3418	1147.0693394107
4030	1147.09639194407
1095	1147.12351183817
3177	1147.13092014832
4487	1147.29150365805
4145	1147.29803847431
3636	1147.34324066287
1071	1147.39142955772
597	1147.51733234368
2757	1147.82578420199
4021	1147.85353271807
2978	1148.00873029208
4200	1148.01724333088
675	1148.04871208152
2625	1148.1018958307
237	1148.19752407376
1302	1148.32082037207
173	1148.47906552369
4827	1148.50518719898
2535	1148.54186835132
8	1148.55669846065
3763	1148.75134368026
3354	1148.77104473434
4368	1148.82836446407
2493	1148.89054809757
1810	1148.92966838874
1612	1148.99136153525
2121	1149.09104650593
3560	1149.53987629661
4254	1149.71576843316
4781	1149.71598385133
4735	1149.7482810424
3600	1149.90240394465
4004	1149.93831121785
1075	1149.94175373478
4559	1150.02519467038
3024	1150.10045897425
615	1150.18815217934
1769	1150.53655238446
3161	1150.62097605311
3552	1150.665219852
3062	1150.68957240715
342	1150.77091363339
3192	1150.79076035205
4316	1150.81574164928
499	1150.86287228793
4594	1151.00457434442
1398	1151.15397085353
4490	1151.23954195648
4018	1151.3119354128
3620	1151.315949744
4634	1151.38172551554
1197	1151.43505243704
4457	1151.53652175561
509	1151.59567394061
102	1151.60310041278
2795	1151.81116974371
2429	1152.20146133769
1944	1152.2077421217
3673	1152.36125775814
1448	1152.36644493984
4321	1152.41239267128
1361	1152.41876418085
4818	1152.53475264832
3150	1152.57755304498
348	1152.64405558607
743	1152.93332875784
4561	1153.12234389565
896	1153.25143316006
178	1153.28318523935
4371	1153.31482156647
4341	1153.57863300081
2556	1153.6398385815
2773	1153.71748295527
4649	1153.72543286362
2230	1153.743027491
1740	1153.78797951895
3612	1153.85399925561
4037	1153.86644210856
3282	1153.90236697073
4654	1154.04045197726
1571	1154.08159241595
1865	1154.11131696723
3797	1154.11152027076
4459	1154.1436191137
2833	1154.30114191175
3681	1154.30761411163
3461	1154.40544531021
3790	1154.41221046298
687	1154.58776929795
3680	1154.59224622524
4475	1154.63774122398
3732	1154.6845656267
3305	1154.73522911034
816	1154.77553331067
1576	1154.83890706149
4657	1154.90273600888
1946	1154.91945670236
3286	1154.95471335872
3784	1155.03139327427
1359	1155.15420144885
1735	1155.1719085157
3219	1155.20903095232
3842	1155.26267794936
3157	1155.30282890617
3586	1155.31765180118
4484	1155.41556728644
4770	1155.50193681833
34	1155.55298022259
2190	1155.56907955403
3116	1155.72545710275
4042	1155.73174325098
900	1155.73551503721
2373	1155.81614688991
2275	1155.86118528388
4245	1155.9861823853
4187	1156.04901497873
4757	1156.11347032437
3504	1156.29725085298
304	1156.34626946501
4304	1156.46506534882
1896	1156.59487838933
3662	1156.61630289281
3773	1156.67855626115
2656	1156.73601590515
4093	1156.8325344058
4548	1157.03216933959
2217	1157.04764901533
3942	1157.22354781187
2148	1157.27146530994
3293	1157.27729673919
4378	1157.47796732389
3522	1157.47963268924
4065	1157.54310154477
2078	1157.61599711142
3221	1157.65179283424
3643	1157.68519548348
3561	1157.77090459143
3470	1157.89220786201
2149	1158.03039551334
2522	1158.13146133897
4366	1158.18837305729
2914	1158.25104896294
4765	1158.31665070312
2551	1158.34766309598
3163	1158.37844876055
3999	1158.39398712235
2637	1158.54239923025
3845	1158.65179791598
4635	1158.68304259053
4138	1158.79343631485
4173	1158.80829092968
4110	1158.87435417186
2513	1158.87501284785
156	1158.96530813728
2483	1159.03436750648
238	1159.10376374259
1414	1159.22583735832
4123	1159.26375183
4562	1159.32973714491
4581	1159.34504782362
3278	1159.34519117567
3653	1159.41733683997
1418	1159.5626065366
2836	1159.71743261623
1599	1159.7368196172
4707	1159.75504933466
306	1159.77000659544
2813	1160.04671517446
4115	1160.10484596122
3764	1160.11987907612
4067	1160.19196285458
4542	1160.23207281433
4019	1160.25810483704
3458	1160.50036291329
4595	1160.57327196873
2028	1160.72521369021
4568	1160.74648237014
2424	1160.74812618401
2064	1160.7868301232
1025	1160.82057327655
190	1160.84510646176
3204	1161.27375363575
867	1161.28929631232
74	1161.30381825156
1711	1161.35821647649
2445	1161.37940909229
4516	1161.4168328922
1643	1161.4436825774
263	1161.55174721942
3685	1161.55681666465
1915	1161.60894343639
703	1161.62191541543
4175	1161.64511061788
3006	1161.75147109093
3288	1161.91889927405
2216	1162.13647262269
4732	1162.29188833652
3179	1162.49441713067
884	1162.53016363054
3884	1162.73776676928
4207	1162.74348565946
4025	1162.75174702705
4232	1162.86324463433
4035	1163.08912824528
4103	1163.14397646053
31	1163.19418908257
4099	1163.20992182575
4696	1163.30490059229
3454	1163.59707826584
3510	1163.64756587597
2988	1163.91812024162
2115	1163.92624768544
3954	1163.97720250026
3070	1163.99375640632
2479	1164.05051829561
3992	1164.07482900247
4841	1164.16204016054
2659	1164.16850659056
4087	1164.20149036037
3345	1164.23721688909
3647	1164.26856542503
852	1164.27316711811
2560	1164.39855736063
1745	1164.43513756711
1554	1164.45013817567
2673	1164.66426264869
4412	1164.72955351177
144	1164.87883641572
2655	1164.95256779157
1510	1165.09702165977
4698	1165.21144465656
3484	1165.29030095208
4529	1165.31228845394
3695	1165.31937451729
4798	1165.40813671457
369	1165.46437641944
4780	1165.47494331293
87	1165.56035073578
3865	1165.59819152704
3574	1165.66342677934
1691	1165.7513151959
4005	1165.75965729924
3212	1165.79833578824
3206	1165.93921468332
1965	1166.03823016061
4730	1166.06356698833
4840	1166.11151450111
2523	1166.25476498539
3352	1166.28406855925
354	1166.51611581746
1293	1166.62636800731
4331	1166.69148472087
3223	1166.74385901025
2151	1166.74793801075
2963	1166.80280422826
3042	1167.03111269554
4695	1167.09105944207
2128	1167.18138258783
2520	1167.30376090097
2634	1167.33782783659
1308	1167.36553685238
4332	1167.38667000949
2869	1167.4267120266
2847	1167.58682932728
1872	1167.62397874526
2480	1167.66141953009
1818	1167.70186978016
2781	1167.73043435126
871	1167.75447848506
3989	1167.77134297502
3684	1167.81986903697
4481	1167.86045010138
240	1167.9057779913
4229	1167.93254011617
4563	1167.94153678735
2613	1167.97900745941
4155	1167.98018608798
4310	1168.07292042071
4742	1168.07650716011
2543	1168.0915807034
3058	1168.11950635302
3730	1168.12104273934
4728	1168.14737293399
4678	1168.27917684811
3849	1168.38445588659
1884	1168.40875548692
4301	1168.4672397442
3759	1168.51684800943
3478	1168.68202972644
3455	1168.76372191767
4243	1168.84360506419
2621	1168.89278254479
2896	1168.95730981146
932	1168.96987514688
3257	1169.05528616996
201	1169.1399305101
3959	1169.23574996509
3548	1169.25855896068
2525	1169.27050941008
1572	1169.31863753431
555	1169.32162512912
4469	1169.3499169776
3373	1169.36992824097
4543	1169.41752193169
991	1169.43250754497
343	1169.45021653431
1212	1169.46317612403
4683	1169.47864207891
4853	1169.5893564853
4714	1169.61538872201
4717	1169.65851004199
3242	1169.72020692408
2170	1169.72100522979
3255	1169.84334832444
4655	1169.88432138157
4179	1169.93278677919
4075	1169.98103856783
1803	1169.98850175448
3417	1170.03011682253
3328	1170.1052140113
3659	1170.11081669899
3617	1170.20750268844
1011	1170.24580928181
2845	1170.31097720761
3303	1170.31452007059
4295	1170.31652941163
4288	1170.32945851768
3793	1170.37613600656
2470	1170.38975687013
662	1170.42790410126
4247	1170.43914301603
2193	1170.47719149323
3341	1170.48914012496
122	1170.53890450021
470	1170.54810071025
2903	1170.65731653073
4526	1170.66727663226
2867	1170.71235911179
3848	1170.7295801908
3359	1170.74275332224
3957	1170.75054034603
698	1170.81348549863
2549	1170.8146325543
4055	1170.83001091818
3096	1170.84162223598
2640	1170.87573862866
4219	1170.96696738048
2001	1170.97728561531
4673	1170.98581058936
3760	1171.04205927242
2916	1171.0764827004
4694	1171.09005869826
3968	1171.16147291147
3885	1171.174054929
4496	1171.19430814511
3059	1171.23557423906
4180	1171.29548151843
3672	1171.41515240054
4665	1171.52451288264
4651	1171.55259262785
2852	1171.56058774371
2667	1171.59654365519
4557	1171.79540036657
2450	1171.80440518091
2577	1171.80889703207
848	1171.81920568967
2027	1171.82541994674
4477	1171.86344693711
3655	1171.98739434426
4528	1171.99545292774
538	1171.99965453194
4674	1172.07719136555
3786	1172.09683475539
1277	1172.1353283255
2517	1172.14777138149
2239	1172.19370591802
4369	1172.3338468716
3339	1172.3689209753
4474	1172.38829319067
938	1172.39032086484
3577	1172.4241421836
1247	1172.52513249484
2918	1172.63063227196
3704	1172.65457160194
4361	1172.72057962524
45	1172.72301133413
3267	1172.77713332742
1317	1172.78635410336
3298	1172.81727759178
4335	1172.8576392772
2890	1172.88859214522
114	1172.92509521913
4533	1172.92617575169
2221	1173.02580116343
4537	1173.11464634968
181	1173.12509554848
3610	1173.22769031277
4746	1173.27775251891
4079	1173.29620341117
3630	1173.41965864795
1831	1173.44644551332
1370	1173.50586275257
4852	1173.6052343879
2344	1173.73591829108
2451	1173.77560236794
3751	1173.84275208557
3465	1174.21288209472
4676	1174.2284056361
2389	1174.27899207288
4374	1174.37066303259
2197	1174.45707694446
3703	1174.53848240136
4106	1174.77135592279
4468	1174.79928047616
4231	1174.89229271544
4514	1174.93900243999
663	1174.94615860421
4206	1174.97893766948
1692	1175.01054988268
4577	1175.01349388133
1850	1175.06992874581
1787	1175.12390346661
4330	1175.42630780185
3258	1175.44295391446
4669	1175.58410928977
3350	1175.71861519516
3457	1175.84504225294
578	1175.87992542262
1322	1175.95514759691
702	1176.08676215391
3270	1176.19000376642
4625	1176.19419858282
2973	1176.2045603863
3576	1176.20878155569
2911	1176.28668098888
4391	1176.37083326194
3544	1176.37935135682
2840	1176.40313702576
1763	1176.426953649
1340	1176.44394619127
1816	1176.51870396911
4462	1176.66623212113
2487	1176.72788088421
2437	1176.73277341297
1984	1176.79889908095
2421	1176.85417584657
2491	1177.01758958396
2435	1177.02987346941
3709	1177.14407860779
4072	1177.20764452569
2876	1177.3121750711
888	1177.55584693971
3546	1177.75483938369
3010	1177.85949270476
4783	1177.94184249394
449	1178.14550134383
2410	1178.43833929656
3567	1178.44742242179
1780	1178.46769957588
1710	1178.52189662094
4192	1178.52689474343
3614	1178.53655069801
4006	1178.56414935086
3952	1178.71085667828
1940	1178.77603166715
4185	1178.91203812593
2084	1179.11694038236
97	1179.12670924387
2496	1179.1385446695
4253	1179.15484614137
3496	1179.2745144448
3497	1179.29930653239
4068	1179.37640354659
3801	1179.48514297619
1870	1179.51212822131
3875	1179.56056891591
1228	1179.6433072654
3511	1179.87528953352
4627	1179.94320078371
3949	1179.99024571197
3792	1180.06963223905
3240	1180.26799689447
4196	1180.32747327517
4622	1180.35105438094
1789	1180.38585745864
4066	1180.4013181764
3537	1180.44154196326
858	1180.5337161148
276	1180.5624841937
3215	1180.61558159078
2965	1180.75173000601
4609	1180.78797978283
4118	1180.81455814354
4789	1180.85127323254
949	1181.21709002165
1765	1181.28417860636
2915	1181.33340480263
1973	1181.3885190493
647	1181.41790804046
2654	1181.47268595051
2657	1181.5330073556
3011	1181.60349643924
3110	1181.6306183097
4775	1181.64706221452
4520	1181.66783685736
4794	1181.75000684866
4645	1181.78384190675
3927	1181.81031186062
4132	1182.16559609969
4218	1182.16737214535
4098	1182.21784061675
4290	1182.22090624886
4820	1182.27527319276
3452	1182.31569531843
1348	1182.36230766268
4823	1182.48251964251
3408	1182.48536935872
2809	1182.56020405546
4408	1182.57803849225
1266	1182.80702792277
1591	1183.02087511315
3616	1183.11454433978
2091	1183.149614399
4612	1183.32983070122
2051	1183.35990324571
3712	1183.4075183448
3405	1183.41508202296
4790	1183.42877599409
3756	1183.49559645744
4592	1183.64062618868
3080	1183.68998233187
4662	1183.78781052475
2797	1183.86824620801
4352	1183.92473654247
4498	1183.96051076521
2034	1184.09313773768
4144	1184.18405606017
4156	1184.22502999776
2411	1184.23459763167
3151	1184.24782848137
3813	1184.32971043582
23	1184.34130858306
2202	1184.34804296657
4024	1184.36500591621
95	1184.44898623275
4095	1184.49876070764
668	1184.52525420996
1515	1184.54903366269
3370	1184.62534399299
4816	1184.70089881474
3796	1184.7310559866
4152	1184.77486747025
3043	1184.82745772176
21	1184.91278746326
4458	1184.9172430532
3526	1184.95367201416
3838	1185.15709665619
1502	1185.26959306528
4522	1185.27834759512
68	1185.29613421459
716	1185.36428267007
174	1185.42476429315
3634	1185.45929560829
4386	1185.4702884176
4762	1185.47756780316
3464	1185.56308732363
4761	1185.59054362967
3320	1185.73506200797
1828	1185.8012646588
2825	1185.80469185857
2037	1185.83184835723
3840	1185.83224144575
1747	1185.88936514411
4311	1185.90570997635
4847	1185.98943767919
3930	1186.00517479541
253	1186.10731383589
4525	1186.13717687468
2135	1186.21951767506
4708	1186.23424144233
832	1186.30781066441
3963	1186.42169106159
1369	1186.42480167674
4351	1186.42791662358
4727	1186.43715536608
2212	1186.48862923914
812	1186.58814182893
3488	1186.63729515628
1799	1186.68821996961
4582	1186.69603094094
3413	1186.75163712767
3557	1186.78994464288
2192	1186.82253219246
291	1186.97819595594
4108	1187.11387318533
4611	1187.19880333453
501	1187.22367477895
3821	1187.25905893268
4223	1187.37523409291
2147	1187.42641286233
4069	1187.51446410958
2883	1187.65526697409
4048	1187.67108274046
1311	1187.78892443102
2152	1187.93605092409
3472	1187.9547172637
4754	1187.98476245368
3966	1188.0104693853
3534	1188.02806573266
4508	1188.34795290824
1493	1188.35000611066
4279	1188.46547728672
2375	1188.5071377154
4744	1188.55844975682
2583	1188.56707760528
4359	1188.58655723949
2823	1188.59865030275
395	1188.60265226428
2102	1188.71762514971
4082	1188.79147677889
1168	1188.81909584429
346	1188.87219533475
2399	1189.06830041315
4364	1189.12214967484
2246	1189.18297021332
3707	1189.25108981648
3004	1189.2723809434
172	1189.28545895657
442	1189.31978196345
4284	1189.36914377489
753	1189.42456539978
1474	1189.45000540747
1091	1189.57588132221
2986	1189.79862426188
2559	1189.81235075102
4815	1189.85870239641
226	1189.95608072905
3789	1190.03551804924
1023	1190.20275131341
601	1190.23227389427
4385	1190.37931000252
3696	1190.43935911372
3661	1190.47324036492
3498	1190.6177107137
1860	1190.65134064209
3686	1190.65952714316
3714	1190.8096036421
910	1190.81894034378
2283	1191.02998313357
3998	1191.09875265664
1225	1191.17748060625
2398	1191.19949848172
2441	1191.21157094722
3844	1191.23697632739
4552	1191.30079056105
2265	1191.34221904299
1750	1191.36300241719
4832	1191.36321864805
3137	1191.38015555757
3502	1191.42175322037
3299	1191.55000291719
246	1191.60455413576
4560	1191.61293496944
2854	1191.66281926933
2898	1191.69716196755
3851	1191.75920401556
244	1191.88821753204
1008	1191.89311208486
2106	1192.02257900458
2348	1192.17861222474
2229	1192.21885292123
2264	1192.28768396795
522	1192.50249865598
2550	1192.58993332323
3829	1192.66037789027
1466	1192.69189321847
2767	1192.75369086259
3650	1192.76891437511
554	1192.81178626894
3487	1192.87464539881
980	1192.98742571531
2143	1192.98750398062
3315	1193.02208524123
2927	1193.07092512947
1619	1193.13832324906
2349	1193.14058994254
4241	1193.23970074999
4213	1193.25341653238
3486	1193.30568751779
1885	1193.32690499185
4596	1193.4188242425
4506	1193.46482535282
4302	1193.60902675849
4589	1193.63731106403
4046	1193.75062479176
3755	1193.75614768395
4737	1193.76150791181
4070	1193.77257961248
2080	1193.79866271343
3582	1193.80168454284
2529	1193.82533246536
2950	1193.86200216889
145	1194.14966826358
2068	1194.15977179903
4688	1194.4065205897
2360	1194.4229242409
4186	1194.54690240063
1450	1194.55536447856
2665	1194.60843696119
3021	1194.66144635446
4601	1194.66824295581
2532	1194.68327902362
2985	1194.69448477115
3376	1194.95073053593
3870	1194.96034785039
2508	1195.09835864403
1877	1195.14293820164
1429	1195.18210713961
2079	1195.2442154954
1760	1195.2967090996
3995	1195.30118251647
1756	1195.31217477779
2339	1195.31462135623
2499	1195.36690385098
1807	1195.54496624779
421	1195.73193396016
4564	1195.80026166222
3334	1195.83837785802
2453	1195.86020537763
2994	1195.86436006859
3839	1195.87169960488
1512	1195.91221273189
4702	1196.00629027072
4119	1196.02403367279
1876	1196.11593884542
3018	1196.20114862227
1849	1196.21271473111
1306	1196.25422844869
4102	1196.25662574458
3547	1196.41924671877
4603	1196.48093792906
841	1196.48910179066
4298	1196.52770861629
1164	1196.54122983665
3871	1196.70537522568
3403	1196.81053406384
4536	1197.01158473417
4328	1197.06492981312
66	1197.07081349513
4738	1197.1615147755
4724	1197.19823703816
4574	1197.22164754954
3087	1197.23292184397
3120	1197.23407736403
3274	1197.330846215
1761	1197.36785590577
3651	1197.40483498516
3389	1197.46637725849
4492	1197.51309533545
3596	1197.5418714347
4799	1197.62673412403
2827	1197.81170439671
4097	1197.83287047986
2935	1197.988266267
3330	1198.09945471475
3407	1198.10032333603
1757	1198.10963998385
2881	1198.13492717165
1452	1198.13743631222
4689	1198.19776426133
3933	1198.24034182664
3524	1198.26163143061
981	1198.27235148018
213	1198.39735188496
2632	1198.41933095271
1038	1198.42806376325
4845	1198.5312620239
564	1198.55170503898
3039	1198.67981284881
3241	1198.78301785979
4074	1198.8763936583
4638	1198.88796180891
136	1198.89551792362
1720	1198.89806148926
4112	1198.92107851594
4632	1199.00576410709
203	1199.0221037682
1943	1199.09935844173
295	1199.10970396662
3019	1199.12697835511
3065	1199.18067023938
4693	1199.22499109885
3748	1199.26098457276
4286	1199.26493855126
2972	1199.28090586327
4551	1199.31607150523
4606	1199.34866775818
1671	1199.42331023506
839	1199.43805961682
93	1199.4419062263
1111	1199.4771796359
1759	1199.50220412868
1580	1199.55891993311
2642	1199.56669939453
4511	1199.62073979204
3082	1199.65145751535
3611	1199.65426070455
4817	1199.68445669747
4324	1199.71875993154
3983	1199.727328084
931	1199.74734604473
4626	1199.77823482446
4642	1199.81469569968
4491	1199.82439244588
4176	1199.87263214658
2242	1199.88015869961
4149	1199.89970626228
3654	1199.93184245767
4113	1199.93916386671
2434	1199.94159750194
59	1199.9488094316
4401	1199.96233566664
2528	1200.00082854292
3480	1200.09450359139
4166	1200.10895494731
677	1200.16323335351
3261	1200.19139739765
120	1200.2660152027
568	1200.33128158661
4485	1200.37611224542
2129	1200.38795081234
1094	1200.47214145222
1880	1200.64404661712
4701	1200.69060532397
4360	1200.69952989961
4667	1200.72944938546
2709	1200.77422969524
3013	1200.77696881467
4201	1200.81571888892
3216	1200.92329098334
4715	1200.95033231691
4704	1201.0762811594
4734	1201.08206473769
2606	1201.22830100843
1590	1201.24804517789
1600	1201.27810122414
830	1201.35854354866
1013	1201.39400484738
2964	1201.43519057437
3993	1201.47605708105
3123	1201.50882694152
1690	1201.77206283366
3633	1201.79414438581
4619	1201.81326599767
611	1201.84660893047
1566	1201.89608337357
4741	1201.91186017079
4656	1201.92977116439
3147	1201.93549478523
1665	1201.98588564485
4299	1202.02298674275
2204	1202.07220433601
2998	1202.08931686775
1501	1202.13927507243
2679	1202.23525669065
4809	1202.24581825252
4570	1202.3050937973
4244	1202.41963956922
4212	1202.43190627967
4648	1202.43464694694
3230	1202.56806025031
3955	1202.7013001056
4266	1202.75212148264
4505	1202.76964151083
4476	1202.92083749695
4397	1202.9276307185
604	1202.99092691383
2227	1202.9952252152
171	1203.01867465699
3525	1203.047106983
2395	1203.12943600804
3777	1203.16267310656
806	1203.1982938317
4121	1203.26785314456
1165	1203.33683907953
4354	1203.37814683414
4402	1203.37953319008
3036	1203.43618697167
2521	1203.48955511385
2713	1203.53240340446
2929	1203.57515096287
4519	1203.75735237475
2604	1203.82155472944
2585	1204.09868906235
2546	1204.11952789815
3220	1204.20275963806
4565	1204.2721345148
4336	1204.30520980126
2576	1204.34453585006
2073	1204.34726623342
4531	1204.40965753658
4848	1204.42495894197
4346	1204.42732526463
2501	1204.47597376288
4375	1204.48469846592
2989	1204.7358654644
1504	1204.73672771748
3300	1205.03508417692
2704	1205.05588826569
296	1205.42850261734
2511	1205.49121814163
4181	1205.53846827138
3554	1205.56753518067
4306	1205.57923223841
2187	1205.68022547424
1350	1205.77762181857
2906	1205.78500960612
2723	1205.83451981065
85	1205.84539019204
2500	1205.92311239933
4015	1206.05153757725
2601	1206.06761148162
4668	1206.19114146863
974	1206.428693795
4122	1206.5028011909
4125	1206.52878585579
3571	1206.64510454893
388	1206.94550951537
1294	1207.02002749194
3943	1207.13286377657
3862	1207.1438942557
2002	1207.15090570157
3319	1207.17052455551
496	1207.17894406479
3961	1207.34391329373
4776	1207.35075431759
3723	1207.43584862391
2181	1207.51565748313
3251	1207.51933565411
1270	1207.68824098155
4142	1207.74044864765
2676	1207.80214153607
2194	1207.81994853561
4392	1207.88778109414
4045	1208.06437730369
4140	1208.11075978761
4534	1208.11105787777
1949	1208.31871787622
1736	1208.41657019425
2345	1208.58761443148
78	1208.9043563446
1378	1208.9590220581
4453	1208.97670181348
3146	1209.06732358592
4670	1209.1988549885
922	1209.28773807737
308	1209.47646431123
4513	1209.63007298514
4758	1209.71817951448
2641	1209.7508823961
3693	1209.87161649584
3017	1209.92802405159
4718	1209.93014842886
3459	1209.9354245965
4057	1210.0294613153
3588	1210.07423236617
4821	1210.0816360906
4829	1210.37691627317
4056	1210.49054728383
3336	1210.66717228829
1482	1210.7164347752
3307	1210.71902152356
3236	1210.7576974607
2805	1210.99301975538
4071	1211.00811838871
453	1211.12951109854
4800	1211.17511453921
3694	1211.27027951211
4482	1211.43644965811
3239	1211.46625701081
3181	1211.49648250319
2620	1211.54429200989
107	1211.6672787567
3184	1211.70973289324
1778	1211.80177114639
3991	1211.83596464557
2534	1211.86770024869
3393	1211.97942975877
4294	1211.98324169093
3329	1212.00608299809
1073	1212.15263501352
4292	1212.21283741856
2386	1212.30378082456
4291	1212.4461273552
2605	1212.53984811572
957	1212.73511204125
2177	1212.73683462854
1432	1212.7463211839
4640	1212.86118513518
4684	1212.93048205135
4259	1212.93557384306
4692	1212.94881720966
3265	1213.02519759703
3075	1213.04511045702
1511	1213.26721115479
3666	1213.31013056151
3781	1213.34067635734
2721	1213.55197027873
1533	1213.59223250264
847	1213.61594036981
3495	1213.68783905089
3944	1213.70528498011
4618	1213.73217141105
247	1213.8878410582
2352	1213.92166968343
1695	1213.94857565564
167	1214.01756884604
4309	1214.02692070495
418	1214.02874250628
3573	1214.11054896078
3499	1214.20226615421
4814	1214.25999977625
1937	1214.33288266654
3535	1214.37010504409
288	1214.37847663636
4495	1214.38893373547
4792	1214.42095830569
4137	1214.46706871909
4850	1214.51286765616
4736	1214.57824569301
2542	1214.61971311812
3687	1214.6872734602
759	1214.72088653343
4803	1214.76163042569
4146	1214.86722847924
2232	1214.9080058429
3102	1214.91598013777
1086	1215.11653342915
4184	1215.13111369246
25	1215.13711302163
4148	1215.1626077893
3028	1215.26024265357
2643	1215.38563224727
4687	1215.45359326252
3648	1215.50009898183
995	1215.51681893344
3587	1215.53524326775
3799	1215.57173995073
3938	1215.71517194739
1559	1215.90232216779
4615	1215.92163780681
3542	1215.94232495779
294	1215.96037316738
1687	1216.06004930275
4751	1216.12189968493
4203	1216.13121645636
1002	1216.17393473552
3331	1216.29530877306
1743	1216.32118548536
3843	1216.63855026942
4	1216.73156523205
1731	1216.88840590014
3483	1217.0309901205
3090	1217.05551295282
3711	1217.06857159881
2509	1217.07596368518
2335	1217.0943102378
58	1217.10480112283
4661	1217.12438158791
217	1217.16295028962
2158	1217.24082004628
2035	1217.42690300255
441	1217.4302526294
3691	1217.49034897253
4043	1217.5113616196
2594	1217.54188967231
3883	1217.63785101467
3984	1217.65179403485
4597	1217.66563545631
1742	1217.72919390982
1657	1217.8171858903
3986	1218.06298839811
3962	1218.14836056208
4237	1218.23295216381
537	1218.33572480032
4031	1218.36648761205
4362	1218.56108097627
2966	1218.59008436148
2359	1218.60800196028
1801	1218.62839684106
547	1218.65657652851
503	1218.69057501961
2871	1218.7736551576
2040	1218.77368200966
498	1218.81340322665
3971	1218.90950227312
623	1218.97724770839
3669	1218.98206749318
476	1218.99211764452
997	1219.01630177064
3295	1219.09780703459
4225	1219.15009527221
1585	1219.29727715219
2555	1219.30290919671
4329	1219.42734659645
3846	1219.48188584927
870	1219.5380815413
3466	1219.9459645432
3211	1219.97324360408
1644	1220.10841078677
810	1220.15183317786
3374	1220.21871605698
1583	1220.52144105905
1647	1220.6022797366
2333	1220.7543211744
4450	1220.75934266221
3965	1220.96472105453
4092	1221.02432480033
4630	1221.16443445515
4663	1221.24223164386
4120	1221.24325778993
3355	1221.24792694155
558	1221.34754552114
4749	1221.35842325523
3627	1221.61172728307
1339	1221.63507516386
4077	1221.70385482641
2388	1221.73382680028
1287	1221.76123791507
3737	1221.86505937229
4842	1221.94635528239
3410	1221.97837005242
383	1222.12259493552
1923	1222.26156399048
1737	1222.28714489552
3135	1222.56975012163
1	1222.5778695651
3238	1222.58743665191
1553	1222.60926801959
3164	1222.65667706168
3710	1222.66956936193
3468	1222.74295198444
3297	1222.92004624492
2647	1222.93789861778
1784	1223.23604902812
1696	1223.33847379637
1646	1223.35256898071
4682	1223.41922420855
1746	1223.5010943587
4641	1223.74860696041
1626	1223.8821278292
1325	1223.91197565692
1261	1223.959393786
3721	1223.97263049126
3675	1224.06463396677
3701	1224.22918244384
3344	1224.23028037119
3044	1224.26093049958
4518	1224.26214187652
1719	1224.30071039719
999	1224.39490986853
2515	1224.42025408833
1927	1224.42825608092
996	1224.62770171057
1598	1224.69910693979
121	1224.75182573279
2545	1224.82498824351
4281	1224.86760545985
486	1225.18876974165
2765	1225.23766007428
3925	1225.31180409735
4772	1225.33534018324
75	1225.34602448592
1123	1225.41769341834
4466	1225.49554539186
415	1225.55980177003
4733	1225.61405873162
4690	1225.62561963749
4319	1225.67185605113
772	1225.78120006
4191	1225.85812313045
3572	1225.95122421008
3485	1226.21188943626
4345	1226.26448211157
4183	1226.30644385149
4791	1226.77289361863
2957	1226.81780644096
2504	1226.83053947907
4153	1227.03798408939
4356	1227.087209501
4553	1227.28829262458
1195	1227.2905776988
4501	1227.32781242596
781	1227.43449695574
1825	1227.5341782133
945	1227.6985860587
1815	1227.90429523085
514	1227.98441458431
1153	1228.14250777186
3361	1228.58268463476
4623	1228.58929601434
101	1228.69464711865
3878	1228.74165587126
2905	1228.76969957557
3492	1228.78019114784
4629	1228.78544873997
4322	1228.82414720516
3479	1228.8782492562
2357	1228.89157441034
4150	1228.90040539814
1243	1229.00478935948
4731	1229.0200386629
4388	1229.04022866951
3565	1229.06734784295
4012	1229.37315043242
4624	1229.61630685263
3268	1229.67829236783
1248	1229.71539486164
4578	1229.7177111047
1716	1229.74521410364
4567	1229.78057176523
3104	1229.7833758197
135	1229.8124990842
3863	1229.84895826883
3091	1230.02903427505
3581	1230.07244579597
3186	1230.39713341345
2771	1230.40412456685
4819	1230.46897335443
4126	1230.55502581136
539	1230.601573792
3244	1230.75840924795
3172	1230.83581289448
4264	1230.99406829513
4182	1231.09961038465
2579	1231.1547135697
3718	1231.30667863768
2021	1231.36218991602
4500	1231.42237658703
1540	1231.43347654511
3292	1231.46005972282
3722	1231.46147136893
269	1231.65138241817
3674	1231.73643657634
1444	1231.87449822988
4383	1231.8754748329
4455	1231.87978884757
1517	1231.9409267391
3067	1232.02351821786
4268	1232.03803975293
3859	1232.14568261406
3734	1232.17137916051
4381	1232.20390605812
4270	1232.25358336403
904	1232.25783451838
4384	1232.2858583201
2582	1232.67747960912
4545	1232.7254811531
4159	1232.80720798067
3946	1232.90497004779
3041	1233.0831737355
3250	1233.3112947873
2872	1233.3840436255
4215	1233.4106961783
4706	1233.44015640996
4003	1233.524531084
3323	1233.57640288805
2866	1233.84274912078
1596	1233.89432918231
3950	1233.96658957239
4210	1233.96692123796
3881	1234.0136768528
3750	1234.09846887894
2607	1234.34186427679
3481	1234.38576984596
4499	1234.43994123891
4504	1234.51210418383
4242	1234.61651945402
4198	1234.77614653502
3688	1235.01178848454
4541	1235.12921224568
1159	1235.14724900781
4549	1235.20502123818
1367	1235.41823244889
2586	1235.73093787703
3882	1235.74777427589
2369	1235.82039785327
956	1235.93333489063
3322	1236.00403297162
1714	1236.0097678485
3835	1236.11552807097
569	1236.21826967678
2990	1236.31021859779
3679	1236.85133238871
4523	1236.8624202622
2093	1237.0365559688
2976	1237.14915925876
461	1237.16186973189
4659	1237.46785513438
545	1237.53085117846
3473	1237.70255543288
48	1237.78498027235
2067	1237.94934255195
3291	1237.99701587121
620	1238.44165962766
4188	1238.8506979105
3545	1238.88421716293
1982	1239.5846866044
4086	1239.6318945328
2783	1239.81929095858
4061	1239.86203200487
3780	1239.8681051704
3506	1239.87943158307
2346	1239.88555546451
94	1239.89700541005
207	1240.02966394831
3856	1240.07801088431
2611	1240.13016276163
3131	1240.77631888762
3941	1240.86281461363
3860	1240.86968174852
4512	1240.98225694567
4855	1241.04231318184
1751	1241.09210378535
4239	1241.19820953204
2930	1241.2216451387
4488	1241.39056086186
456	1241.58023564321
3005	1241.84416404112
4038	1241.8919025018
1660	1241.96628198959
1102	1241.96944905568
2341	1242.04920086578
3139	1242.08717793868
1539	1242.1718295356
840	1242.40217355212
2259	1242.44351041223
4282	1242.59308897157
4405	1242.62344122337
1127	1242.64114947184
3787	1242.88405103211
1382	1243.00846880904
1912	1243.02329641761
4256	1243.1234425866
3122	1243.16810678202
1987	1243.19824352584
3676	1243.3173345102
3807	1243.47684550981
3301	1243.65230916963
3741	1243.81716456839
3834	1243.83455021677
4461	1243.84476919904
2164	1243.88256207169
168	1243.99226552124
279	1244.03554472565
2090	1244.11400183088
1768	1244.17520686479
4646	1244.24520715043
968	1244.31820697154
133	1244.38668129787
4740	1244.44169143776
3133	1244.44510901413
3660	1244.63438409591
4174	1244.6437748292
3656	1244.67830122977
4134	1245.00033317713
3770	1245.2463607868
4591	1245.28253643857
16	1245.52529618795
378	1245.76211908951
3202	1245.78608660603
4007	1246.04175487951
2141	1246.40442143746
1027	1246.46499618177
1977	1246.6259697767
3200	1246.76080413282
4464	1246.84878160961
4011	1246.95113589729
2353	1247.35021239111
1758	1247.51038113704
1557	1247.54685553954
2702	1247.63412779587
3335	1247.79268020025
3460	1247.92079267305
3196	1247.99364159832
3826	1248.15707123799
2036	1248.38057312534
2961	1248.84741159146
815	1248.87665217536
4502	1249.15306348751
326	1249.45786473424
3316	1249.45987412619
4681	1249.4716946694
100	1249.68102745789
3556	1249.93439821688
3785	1250.36771285536
1018	1250.37208880765
4269	1250.63914078739
159	1250.64336425009
1138	1250.85618348408
1573	1250.88761939878
4610	1251.13031482905
3598	1251.21455353065
4205	1251.3845019251
4224	1251.64502514995
3972	1251.65004040024
3977	1251.77607204493
4812	1252.25141636152
4127	1252.31362642756
1155	1252.56226498097
3138	1252.63380930017
4473	1252.68758092147
4009	1252.75696109149
3541	1252.96597352212
330	1253.08780127657
4008	1253.21590100812
4521	1253.46919148897
2053	1253.50745928083
2059	1254.36173350003
1251	1254.83966554018
1495	1254.93487640902
340	1254.96493485046
3158	1254.97650942764
3027	1255.01524210626
4805	1255.73839796082
468	1255.90683069038
1829	1255.97466172335
2960	1256.43867895674
333	1256.87147856103
1089	1257.0918765541
28	1257.56169785021
4028	1257.6128002538
3752	1257.62027450179
4073	1257.8988322137
229	1258.01200130106
2449	1258.45960160012
2077	1258.61777304736
540	1258.66761678941
3227	1258.77650169708
4571	1258.78563274589
4096	1258.84078294089
2199	1258.92233596801
4276	1258.958117401
4039	1259.17524059378
1991	1259.25870102443
653	1259.90503993742
1108	1259.94746315305
4583	1260.06302648731
3868	1260.42489516897
4472	1260.74799264512
3939	1260.75029789905
4049	1260.78635090342
4716	1260.81704415184
885	1261.08173634128
3683	1261.16353008978
648	1261.25950215959
3038	1261.27541207649
151	1261.50283969236
3747	1261.5602275797
2213	1261.63606297012
2539	1261.83112905132
2402	1261.98458284306
3205	1262.44659509547
4575	1262.96256109382
4143	1263.67703407651
4460	1263.84200505859
1699	1263.8479110538
3313	1264.00963793651
1683	1264.06671042039
2635	1264.17243788038
930	1264.20148780603
51	1264.63498340041
4014	1264.64012153758
2383	1264.7663806313
1629	1265.02082471036
1868	1265.13749082224
1908	1265.48146843771
2484	1265.72672533903
4135	1265.89524910317
706	1265.99987283099
131	1266.34899579083
1967	1266.59804657597
2374	1266.82023626778
2225	1266.93134845786
869	1267.42646418883
1836	1267.5780062337
4054	1267.94917158175
2875	1268.16395211218
708	1268.34884021423
3604	1268.87925503502
3187	1269.12406291742
61	1269.18870550281
3931	1269.64332188664
3937	1269.83796373975
4085	1270.12660782544
115	1270.26496726652
4027	1270.28127404597
3360	1271.49686025248
766	1271.71692805892
3985	1271.72135815983
3193	1271.8053060548
876	1271.91317601587
2531	1272.39041941785
3386	1272.48511840831
3234	1272.5981711167
364	1272.60080960343
2877	1272.65772530739
2789	1272.85858940731
175	1273.05654122652
1551	1273.32904504716
2977	1273.43132225429
3490	1273.81858572381
1250	1273.82490226417
4824	1274.00412127724
4539	1274.0623019172
2922	1274.36434556344
1468	1274.54564280902
2733	1274.64344052978
3396	1274.66782223516
1329	1275.16153220403
3624	1275.3018570828
599	1275.5846955323
3932	1275.61813399522
2992	1275.70788224733
1305	1275.71919451944
191	1276.14922309214
587	1277.02325954787
4325	1277.61948738663
4587	1277.69675403827
224	1278.0008525482
3692	1278.01293375296
1157	1278.79384982443
4828	1278.93111983802
2231	1279.73214197011
1332	1279.87691153583
3056	1279.90003676202
3072	1280.06294377152
4576	1280.09485723417
3947	1280.34708829203
4130	1280.61200675159
334	1280.79823381968
2844	1280.93483323044
116	1281.12571876167
2228	1281.6110555803
2438	1282.75565892168
2354	1282.90670521305
3130	1282.91784571839
2377	1282.91795281487
1410	1282.92992084428
3189	1283.1451624838
3008	1283.25587570261
1895	1283.68916373769
1413	1284.02962122657
2834	1284.32566476351
527	1284.46929704152
1262	1284.59434019242
2144	1284.88666508721
4607	1285.39564629046
3411	1285.50085665828
2457	1285.55310268834
4124	1285.88752515142
2363	1286.46397218303
4089	1286.84977573591
3421	1287.0299376334
386	1287.16752911839
281	1287.37782258683
1296	1287.83004620518
3606	1288.19338192261
422	1288.78098141761
842	1289.27160713842
3117	1289.557425726
492	1289.57553406306
3289	1289.98529204712
250	1291.05579209758
108	1291.28712990672
60	1291.99208212696
1577	1292.08170395595
4139	1292.21742744764
2408	1292.31528985381
4080	1292.37620565784
353	1292.78195757421
2461	1293.25558657822
1492	1293.27241817509
3003	1293.31003842801
2518	1293.45591401201
1891	1293.64271774926
1024	1293.73419792026
4285	1294.32728837542
1065	1294.4896728983
2626	1294.69595962485
1523	1294.78572822377
236	1294.82861388408
195	1295.03375861503
2538	1295.62250882215
589	1296.36769543778
3132	1296.56136311634
228	1296.78774433959
3609	1297.38869046281
3277	1297.46111260891
494	1297.88035154009
177	1298.14851750709
3145	1298.78683582779
670	1299.38648319795
2046	1300.19494478288
686	1300.23453397076
1640	1300.42917785267
1547	1300.54903544682
2526	1300.86007673706
649	1300.8656605038
3276	1301.54715388924
1708	1302.54032743802
846	1302.70112447998
1635	1303.02899116997
1584	1303.39398733181
4590	1303.88165522934
230	1304.27268163224
2848	1304.55796682681
4452	1304.57588522283
1259	1304.77083337882
2016	1304.77158226126
1701	1304.83106217299
123	1305.20985295384
1775	1305.30407690194
2612	1306.66359490409
2252	1306.8811312566
4509	1306.92373423803
3160	1306.98842743693
2928	1307.64053722749
935	1307.68559795531
1610	1308.57876080541
3974	1309.48892029012
1425	1309.73918938249
1574	1309.80625938789
1678	1309.90089352524
2557	1310.0124635054
138	1310.72198099541
4001	1311.57512153928
1684	1311.6432763925
4579	1311.97218269573
1772	1313.30654262305
3007	1314.60424771957
3489	1316.05914294719
219	1316.84892325961
3501	1316.98245831415
2220	1317.58673543098
1310	1317.78350200604
2393	1317.84929659831
1458	1318.03463264967
1706	1318.13253672837
3958	1318.3351645696
3324	1318.5004999413
3280	1319.40981878176
69	1319.60808286267
216	1320.0479938353
801	1321.00570149081
1595	1321.34168666548
375	1322.19180233828
1730	1322.44466232053
704	1322.97338577469
1658	1323.62886169962
3507	1323.72147598408
3061	1324.16313579247
358	1324.96469417498
3663	1325.6914970453
3260	1326.05813659101
836	1326.15977527799
1318	1326.25144071015
1319	1326.44279797417
1622	1326.72664957686
971	1326.95504020795
1648	1328.02484662852
1569	1328.04958606573
1290	1328.13131164286
2502	1329.64927121455
3997	1329.94521738016
2984	1330.062750106
3266	1330.18335392097
2165	1330.35521834274
401	1330.64679202891
176	1330.83852872612
2013	1330.84744303641
1741	1332.58586901939
447	1332.90596695406
4797	1332.99162879393
1403	1333.46915170123
4342	1333.66717196389
1208	1334.64951903656
2468	1335.09054388138
3812	1335.10945140519
233	1335.79225254598
2907	1335.93118048485
1541	1337.37498772628
1279	1337.39187528797
4343	1339.1218049285
1405	1339.39538636078
4026	1340.1003966832
86	1340.3639807553
1902	1340.47312315027
2705	1340.55254634558
3970	1341.53799141712
1899	1342.07440562702
694	1342.24865606202
696	1342.50799159151
1592	1343.02460823041
2630	1343.85709190931
3387	1343.94322367349
2974	1345.01714621647
1323	1345.94753753592
1781	1348.25906794705
2936	1349.91296329938
2137	1350.36641022242
2439	1351.36326911074
3512	1351.65247238273
2486	1352.20749851983
2415	1353.20112007504
57	1353.66578104316
27	1354.12762753658
4334	1354.66774259513
3802	1354.98512900048
1388	1355.01309380782
3171	1356.52080593583
2403	1356.69293625798
399	1357.26167980578
1503	1357.87609089489
3309	1358.07046362637
1796	1358.97999807466
71	1360.77819279257
2614	1361.37019850202
1662	1364.2228618304
4158	1364.51023895093
3593	1364.62312113595
639	1364.82277463362
70	1365.15612668793
2587	1366.52974102233
1241	1367.91117595646
1249	1367.95607898953
1952	1368.57485554114
365	1369.66685762842
2996	1370.02388892489
3310	1370.17820785808
2481	1370.6412404572
2619	1371.64916209155
179	1372.08173973907
744	1372.85873078013
2062	1372.88869347596
2474	1373.12986458086
3641	1373.79958395696
2574	1374.02123527697
128	1374.45712116104
1218	1376.26127723726
2489	1376.26395478948
3476	1378.71704051128
3467	1379.54358188031
126	1379.84588415544
2338	1380.43126000358
2791	1382.09428901178
1100	1382.64122144869
314	1382.8554922159
829	1383.22071156896
4451	1384.11517670854
2175	1384.61874933083
56	1384.93968203593
341	1385.08158247164
2603	1385.80080979714
231	1386.17096589986
2471	1389.03263285554
3753	1389.7795386336
3528	1390.42129382422
1726	1391.34011980841
4320	1391.45977062742
180	1394.47026900317
1507	1394.64499137941
4063	1395.08467436553
1288	1395.70911133172
612	1395.85243701734
1189	1396.62170664524
2638	1396.62681692185
155	1399.22392827322
1732	1400.31444752705
1625	1402.01624571653
2443	1403.01972826776
1985	1404.12577305486
2168	1404.41889197264
1939	1405.96727989276
303	1406.16077030994
3284	1406.6318958928
193	1406.77092695414
1421	1407.41709440476
111	1408.88959428744
955	1409.03965448902
4265	1409.9440029336
2851	1413.39692792868
192	1417.5072147051
103	1417.85861528435
3173	1418.08718577889
2826	1421.62238697863
2130	1422.00380603616
967	1423.83644700277
3824	1424.4877607948
293	1424.65111902078
3847	1428.17346094668
3990	1428.71918123344
222	1429.32173263643
624	1429.93955210178
329	1433.19542652553
2000	1433.42748392377
435	1435.72257537983
573	1435.76564950198
1676	1436.66179872081
2145	1438.26225072112
1918	1438.35183688243
3414	1441.73203874618
2512	1443.91869270898
360	1444.28343940142
2052	1445.68913015397
3928	1446.03315620176
125	1448.82568950045
3015	1450.51613073011
225	1453.00217390966
379	1453.75327305984
234	1455.65184105526
3539	1455.78157632052
3245	1459.87672441115
79	1464.71268563065
3314	1465.75815012018
2959	1467.68723662095
316	1470.69220506702
525	1471.31100927972
2648	1473.77307045129
1806	1477.55496241367
1519	1481.06920018518
948	1483.54675958234
987	1484.17839583617
2485	1484.49503422745
254	1485.66484858734
973	1485.94027814882
2729	1491.57552945501
2054	1508.534964774
701	1510.12548469239
1538	1510.20015629137
610	1516.28684596015
2169	1518.27635745321
148	1519.20474272572
1717	1523.36578325197
1983	1540.37859616682
245	1541.67918480531
862	1541.69744273021
1334	1549.90012172128
20	1556.33980046564
2590	1563.59789520569
868	1565.15790036299
67	1587.83178342892
1718	1602.55543781965
11	1625.84868762694
118	1655.58062776287
1114	1659.4593538914
33	1663.08681001952
359	1693.81098547929
1986	1696.82704216305
1477	1699.43206031541
2056	1709.75985745116
469	1860.09151515805

``````

Sorted by Team #:

``````
1	1222.5778695651
4	1216.73156523205
8	1148.55669846065
11	1625.84868762694
16	1245.52529618795
20	1556.33980046564
21	1184.91278746326
23	1184.34130858306
25	1215.13711302163
27	1354.12762753658
28	1257.56169785021
31	1163.19418908257
33	1663.08681001952
34	1155.55298022259
41	1104.07730737463
45	1172.72301133413
48	1237.78498027235
51	1264.63498340041
53	1122.08488939136
56	1384.93968203593
57	1353.66578104316
58	1217.10480112283
59	1199.9488094316
60	1291.99208212696
61	1269.18870550281
63	1107.68408303326
66	1197.07081349513
67	1587.83178342892
68	1185.29613421459
69	1319.60808286267
70	1365.15612668793
71	1360.77819279257
73	1090.40285198676
74	1161.30381825156
75	1225.34602448592
78	1208.9043563446
79	1464.71268563065
81	1132.70141930537
85	1205.84539019204
86	1340.3639807553
87	1165.56035073578
88	1129.70767705192
93	1199.4419062263
94	1239.89700541005
95	1184.44898623275
97	1179.12670924387
100	1249.68102745789
101	1228.69464711865
102	1151.60310041278
103	1417.85861528435
107	1211.6672787567
108	1291.28712990672
111	1408.88959428744
114	1172.92509521913
115	1270.26496726652
116	1281.12571876167
117	1126.09098497072
118	1655.58062776287
120	1200.2660152027
121	1224.75182573279
122	1170.53890450021
123	1305.20985295384
125	1448.82568950045
126	1379.84588415544
128	1374.45712116104
131	1266.34899579083
133	1244.38668129787
135	1229.8124990842
136	1198.89551792362
138	1310.72198099541
141	1135.90014880396
144	1164.87883641572
145	1194.14966826358
148	1519.20474272572
151	1261.50283969236
155	1399.22392827322
156	1158.96530813728
157	1130.54589495766
159	1250.64336425009
166	1126.50389158326
167	1214.01756884604
168	1243.99226552124
171	1203.01867465699
172	1189.28545895657
173	1148.47906552369
174	1185.42476429315
175	1273.05654122652
176	1330.83852872612
177	1298.14851750709
178	1153.28318523935
179	1372.08173973907
180	1394.47026900317
181	1173.12509554848
190	1160.84510646176
191	1276.14922309214
192	1417.5072147051
193	1406.77092695414
195	1295.03375861503
201	1169.1399305101
203	1199.0221037682
204	1020.69112670188
207	1240.02966394831
213	1198.39735188496
216	1320.0479938353
217	1217.16295028962
219	1316.84892325961
222	1429.32173263643
223	1111.82629743883
224	1278.0008525482
225	1453.00217390966
226	1189.95608072905
228	1296.78774433959
229	1258.01200130106
230	1304.27268163224
231	1386.17096589986
233	1335.79225254598
234	1455.65184105526
236	1294.82861388408
237	1148.19752407376
238	1159.10376374259
240	1167.9057779913
244	1191.88821753204
245	1541.67918480531
246	1191.60455413576
247	1213.8878410582
250	1291.05579209758
253	1186.10731383589
254	1485.66484858734
256	1096.61169329686
263	1161.55174721942
269	1231.65138241817
271	1135.49698548722
272	1141.64507293338
276	1180.5624841937
279	1244.03554472565
280	1072.28193752885
281	1287.37782258683
288	1214.37847663636
291	1186.97819595594
292	1120.79194943679
293	1424.65111902078
294	1215.96037316738
295	1199.10970396662
296	1205.42850261734
302	1136.87792039188
303	1406.16077030994
304	1156.34626946501
306	1159.77000659544
308	1209.47646431123
313	1077.96750350088
314	1382.8554922159
316	1470.69220506702
319	1108.3199317638
321	1007.93578705957
322	1043.6491404653
326	1249.45786473424
329	1433.19542652553
330	1253.08780127657
333	1256.87147856103
334	1280.79823381968
337	1143.11633886144
339	1130.11150667682
340	1254.96493485046
341	1385.08158247164
342	1150.77091363339
343	1169.45021653431
346	1188.87219533475
348	1152.64405558607
352	1140.40717844545
353	1292.78195757421
354	1166.51611581746
357	1135.03823526221
358	1324.96469417498
359	1693.81098547929
360	1444.28343940142
364	1272.60080960343
365	1369.66685762842
369	1165.46437641944
371	1103.49120376432
375	1322.19180233828
378	1245.76211908951
379	1453.75327305984
383	1222.12259493552
384	1144.96136509384
386	1287.16752911839
388	1206.94550951537
395	1188.60265226428
399	1357.26167980578
401	1330.64679202891
415	1225.55980177003
418	1214.02874250628
421	1195.73193396016
422	1288.78098141761
423	1074.93771105545
433	1116.2067690365
435	1435.72257537983
441	1217.4302526294
442	1189.31978196345
447	1332.90596695406
449	1178.14550134383
451	1042.62182460209
453	1211.12951109854
456	1241.58023564321
457	1119.63574285791
461	1237.16186973189
467	1106.07365350854
468	1255.90683069038
469	1860.09151515805
470	1170.54810071025
476	1218.99211764452
484	1133.16057533758
486	1225.18876974165
488	1115.95387186558
492	1289.57553406306
494	1297.88035154009
496	1207.17894406479
498	1218.81340322665
499	1150.86287228793
501	1187.22367477895
503	1218.69057501961
509	1151.59567394061
514	1227.98441458431
519	1088.18490654803
522	1192.50249865598
525	1471.31100927972
527	1284.46929704152
529	1106.14605747221
533	1085.14076476803
537	1218.33572480032
538	1171.99965453194
539	1230.601573792
540	1258.66761678941
545	1237.53085117846
547	1218.65657652851
548	1082.03753483035
554	1192.81178626894
555	1169.32162512912
558	1221.34754552114
564	1198.55170503898
568	1200.33128158661
569	1236.21826967678
571	1115.94506923896
573	1435.76564950198
578	1175.87992542262
581	1049.54403251529
585	1142.90133282818
587	1277.02325954787
589	1296.36769543778
590	1115.66757821772
597	1147.51733234368
599	1275.5846955323
601	1190.23227389427
604	1202.99092691383
606	1109.52997827214
610	1516.28684596015
611	1201.84660893047
612	1395.85243701734
613	1139.89529228172
614	1113.91283859423
615	1150.18815217934
617	1120.0349540844
619	1117.82828609388
620	1238.44165962766
623	1218.97724770839
624	1429.93955210178
639	1364.82277463362
640	1141.00283000596
647	1181.41790804046
648	1261.25950215959
649	1300.8656605038
653	1259.90503993742
662	1170.42790410126
663	1174.94615860421
665	1125.94296280064
668	1184.52525420996
670	1299.38648319795
675	1148.04871208152
677	1200.16323335351
686	1300.23453397076
687	1154.58776929795
691	1121.25053277638
692	1130.04591547876
694	1342.24865606202
695	1103.80312438578
696	1342.50799159151
698	1170.81348549863
701	1510.12548469239
702	1176.08676215391
703	1161.62191541543
704	1322.97338577469
706	1265.99987283099
708	1268.34884021423
709	1094.03997707831
714	1128.60348288075
716	1185.36428267007
743	1152.93332875784
744	1372.85873078013
751	1119.15672468365
752	1078.16212218756
753	1189.42456539978
759	1214.72088653343
766	1271.71692805892
768	1135.84582473902
771	1135.58828161515
772	1225.78120006
781	1227.43449695574
801	1321.00570149081
806	1203.1982938317
810	1220.15183317786
811	1106.04754670705
812	1186.58814182893
815	1248.87665217536
816	1154.77553331067
818	1026.19352966173
829	1383.22071156896
830	1201.35854354866
832	1186.30781066441
834	1139.37564942425
835	1117.8989366004
836	1326.15977527799
839	1199.43805961682
840	1242.40217355212
841	1196.48910179066
842	1289.27160713842
846	1302.70112447998
847	1213.61594036981
848	1171.81920568967
852	1164.27316711811
854	1113.8002233083
857	1089.02084028869
858	1180.5337161148
862	1541.69744273021
865	1019.24769809173
867	1161.28929631232
868	1565.15790036299
869	1267.42646418883
870	1219.5380815413
871	1167.75447848506
876	1271.91317601587
877	1110.10456031646
884	1162.53016363054
885	1261.08173634128
888	1177.55584693971
894	1141.09488551451
896	1153.25143316006
900	1155.73551503721
904	1232.25783451838
907	1072.77895957834
910	1190.81894034378
922	1209.28773807737
930	1264.20148780603
931	1199.74734604473
932	1168.96987514688
935	1307.68559795531
937	1122.81526825817
938	1172.39032086484
945	1227.6985860587
948	1483.54675958234
949	1181.21709002165
955	1409.03965448902
956	1235.93333489063
957	1212.73511204125
967	1423.83644700277
968	1244.31820697154
971	1326.95504020795
973	1485.94027814882
974	1206.428693795
980	1192.98742571531
981	1198.27235148018
987	1484.17839583617
988	1111.55203562623
991	1169.43250754497
995	1215.51681893344
996	1224.62770171057
997	1219.01630177064
999	1224.39490986853
1002	1216.17393473552
1008	1191.89311208486
1011	1170.24580928181
1013	1201.39400484738
1014	1122.33615512431
1018	1250.37208880765
1023	1190.20275131341
1024	1293.73419792026
1025	1160.82057327655
1027	1246.46499618177
1033	1139.41581725563
1038	1198.42806376325
1051	1139.25578995844
1058	1108.41672535955
1065	1294.4896728983
1071	1147.39142955772
1072	1137.91463256153
1073	1212.15263501352
1075	1149.94175373478
1086	1215.11653342915
1089	1257.0918765541
1091	1189.57588132221
1094	1200.47214145222
1095	1147.12351183817
1099	1095.10908758044
1100	1382.64122144869
1102	1241.96944905568
1108	1259.94746315305
1111	1199.4771796359
1114	1659.4593538914
1123	1225.41769341834
1124	1132.04374782001
1126	1116.44009612737
1127	1242.64114947184
1137	1107.51606024809
1138	1250.85618348408
1143	1128.56972143302
1148	1143.11582613392
1153	1228.14250777186
1155	1252.56226498097
1156	1132.45128175716
1157	1278.79384982443
1159	1235.14724900781
1160	1005.63580696492
1164	1196.54122983665
1165	1203.33683907953
1168	1188.81909584429
1178	1112.93802787508
1182	1132.88814147209
1188	1139.80792604304
1189	1396.62170664524
1195	1227.2905776988
1197	1151.43505243704
1203	1141.48409634923
1208	1334.64951903656
1209	1081.44587036605
1212	1169.46317612403
1218	1376.26127723726
1225	1191.17748060625
1228	1179.6433072654
1230	1096.4349285908
1241	1367.91117595646
1243	1229.00478935948
1245	1117.72529301458
1247	1172.52513249484
1248	1229.71539486164
1249	1367.95607898953
1250	1273.82490226417
1251	1254.83966554018
1254	1136.40396313889
1255	1036.95596581586
1257	1105.00442979457
1258	1118.6618775821
1259	1304.77083337882
1261	1223.959393786
1262	1284.59434019242
1266	1182.80702792277
1270	1207.68824098155
1274	1139.68801366771
1277	1172.1353283255
1279	1337.39187528797
1280	1115.23810961201
1287	1221.76123791507
1288	1395.70911133172
1289	1088.36782281918
1290	1328.13131164286
1293	1166.62636800731
1294	1207.02002749194
1296	1287.83004620518
1302	1148.32082037207
1303	1135.84919196811
1304	1119.62672586039
1305	1275.71919451944
1306	1196.25422844869
1307	1138.11823203582
1308	1167.36553685238
1310	1317.78350200604
1311	1187.78892443102
1317	1172.78635410336
1318	1326.25144071015
1319	1326.44279797417
1322	1175.95514759691
1323	1345.94753753592
1325	1223.91197565692
1329	1275.16153220403
1332	1279.87691153583
1334	1549.90012172128
1339	1221.63507516386
1340	1176.44394619127
1348	1182.36230766268
1350	1205.77762181857
1351	1068.64718936007
1359	1155.15420144885
1361	1152.41876418085
1367	1235.41823244889
1369	1186.42480167674
1370	1173.50586275257
1378	1208.9590220581
1379	1140.9958026186
1382	1243.00846880904
1388	1355.01309380782
1389	1114.92244008114
1391	1139.05299094762
1396	1126.34669262602
1398	1151.15397085353
1403	1333.46915170123
1405	1339.39538636078
1410	1282.92992084428
1413	1284.02962122657
1414	1159.22583735832
1418	1159.5626065366
1421	1407.41709440476
1422	1094.56191474946
1425	1309.73918938249
1429	1195.18210713961
1432	1212.7463211839
1438	1144.10179482169
1444	1231.87449822988
1446	1100.77564419029
1448	1152.36644493984
1450	1194.55536447856
1452	1198.13743631222
1458	1318.03463264967
1466	1192.69189321847
1468	1274.54564280902
1474	1189.45000540747
1477	1699.43206031541
1482	1210.7164347752
1492	1293.27241817509
1493	1188.35000611066
1495	1254.93487640902
1501	1202.13927507243
1502	1185.26959306528
1503	1357.87609089489
1504	1204.73672771748
1506	1027.13742298458
1507	1394.64499137941
1510	1165.09702165977
1511	1213.26721115479
1512	1195.91221273189
1515	1184.54903366269
1517	1231.9409267391
1518	1097.18679135328
1519	1481.06920018518
1522	1064.83589998138
1523	1294.78572822377
1528	1100.23736924777
1529	1100.66929220804
1533	1213.59223250264
1537	1102.64399793526
1538	1510.20015629137
1539	1242.1718295356
1540	1231.43347654511
1541	1337.37498772628
1546	1116.28544908823
1547	1300.54903544682
1551	1273.32904504716
1553	1222.60926801959
1554	1164.45013817567
1557	1247.54685553954
1559	1215.90232216779
1561	1094.9630856137
1566	1201.89608337357
1569	1328.04958606573
1571	1154.08159241595
1572	1169.31863753431
1573	1250.88761939878
1574	1309.80625938789
1576	1154.83890706149
1577	1292.08170395595
1580	1199.55891993311
1583	1220.52144105905
1584	1303.39398733181
1585	1219.29727715219
1590	1201.24804517789
1591	1183.02087511315
1592	1343.02460823041
1595	1321.34168666548
1596	1233.89432918231
1598	1224.69910693979
1599	1159.7368196172
1600	1201.27810122414
1601	1140.57066605605
1604	1135.68585710195
1607	1071.82120266813
1610	1308.57876080541
1612	1148.99136153525
1617	1107.33797689857
1619	1193.13832324906
1622	1326.72664957686
1625	1402.01624571653
1626	1223.8821278292
1629	1265.02082471036
1631	1133.26136656671
1633	1107.50116491359
1635	1303.02899116997
1640	1300.42917785267
1642	1135.51298095052
1643	1161.4436825774
1644	1220.10841078677
1646	1223.35256898071
1647	1220.6022797366
1648	1328.02484662852
1649	1107.32863944582
1657	1217.8171858903
1658	1323.62886169962
1660	1241.96628198959
1661	1069.05052097351
1662	1364.2228618304
1665	1201.98588564485
1671	1199.42331023506
1672	1144.09712610693
1675	1067.33292602519
1676	1436.66179872081
1677	1142.75693293549
1678	1309.90089352524
1683	1264.06671042039
1684	1311.6432763925
1687	1216.06004930275
1690	1201.77206283366
1691	1165.7513151959
1692	1175.01054988268
1695	1213.94857565564
1696	1223.33847379637
1699	1263.8479110538
1700	1128.77835103524
1701	1304.83106217299
1703	1132.25313058243
1706	1318.13253672837
1708	1302.54032743802
1710	1178.52189662094
1711	1161.35821647649
1712	1145.76489490089
1714	1236.0097678485
1716	1229.74521410364
1717	1523.36578325197
1718	1602.55543781965
1719	1224.30071039719
1720	1198.89806148926
1721	1121.59854414128
1723	1103.13925498594
1726	1391.34011980841
1729	1108.91463502038
1730	1322.44466232053
1731	1216.88840590014
1732	1400.31444752705
1735	1155.1719085157
1736	1208.41657019425
1737	1222.28714489552
1739	1142.43036582849
1740	1153.78797951895
1741	1332.58586901939
1742	1217.72919390982
1743	1216.32118548536
1745	1164.43513756711
1746	1223.5010943587
1747	1185.88936514411
1748	1126.46644284942
1750	1191.36300241719
1751	1241.09210378535
1754	1097.87583607985
1756	1195.31217477779
1757	1198.10963998385
1758	1247.51038113704
1759	1199.50220412868
1760	1195.2967090996
1761	1197.36785590577
1763	1176.426953649
1764	1090.24097469259
1765	1181.28417860636
1768	1244.17520686479
1769	1150.53655238446
1772	1313.30654262305
1774	1135.22514716772
1775	1305.30407690194
1777	1145.69946740773
1778	1211.80177114639
1780	1178.46769957588
1781	1348.25906794705
1784	1223.23604902812
1785	1126.19734986916
1787	1175.12390346661
1789	1180.38585745864
1791	1136.73938816667
1793	1086.63990158416
1795	1144.2359929468
1796	1358.97999807466
1799	1186.68821996961
1801	1218.62839684106
1802	1082.10845458727
1803	1169.98850175448
1806	1477.55496241367
1807	1195.54496624779
1808	1139.49493377649
1810	1148.92966838874
1811	1122.12447053853
1815	1227.90429523085
1816	1176.51870396911
1817	1099.76583418906
1818	1167.70186978016
1823	1107.71573241874
1825	1227.5341782133
1827	1144.24150264485
1828	1185.8012646588
1829	1255.97466172335
1831	1173.44644551332
1836	1267.5780062337
1846	1141.41994656638
1847	1112.51387556671
1849	1196.21271473111
1850	1175.06992874581
1860	1190.65134064209
1865	1154.11131696723
1868	1265.13749082224
1870	1179.51212822131
1872	1167.62397874526
1876	1196.11593884542
1877	1195.14293820164
1880	1200.64404661712
1881	1092.74872026685
1884	1168.40875548692
1885	1193.32690499185
1891	1293.64271774926
1895	1283.68916373769
1896	1156.59487838933
1899	1342.07440562702
1902	1340.47312315027
1908	1265.48146843771
1912	1243.02329641761
1915	1161.60894343639
1918	1438.35183688243
1922	1064.38666730322
1923	1222.26156399048
1927	1224.42825608092
1937	1214.33288266654
1939	1405.96727989276
1940	1178.77603166715
1941	1057.03537072986
1942	1127.51054529995
1943	1199.09935844173
1944	1152.2077421217
1946	1154.91945670236
1949	1208.31871787622
1952	1368.57485554114
1965	1166.03823016061
1967	1266.59804657597
1972	1109.94716524097
1973	1181.3885190493
1977	1246.6259697767
1982	1239.5846866044
1983	1540.37859616682
1984	1176.79889908095
1985	1404.12577305486
1986	1696.82704216305
1987	1243.19824352584
1989	1083.64787319436
1991	1259.25870102443
1994	1106.97069886758
1997	1144.12092370351
2000	1433.42748392377
2001	1170.97728561531
2002	1207.15090570157
2004	1146.78066808963
2010	1122.64224177735
2013	1330.84744303641
2016	1304.77158226126
2021	1231.36218991602
2022	1123.13818700882
2027	1171.82541994674
2028	1160.72521369021
2029	1141.37582777157
2034	1184.09313773768
2035	1217.42690300255
2036	1248.38057312534
2037	1185.83184835723
2039	1139.63185039296
2040	1218.77368200966
2046	1300.19494478288
2051	1183.35990324571
2052	1445.68913015397
2053	1253.50745928083
2054	1508.534964774
2056	1709.75985745116
2059	1254.36173350003
2062	1372.88869347596
2064	1160.7868301232
2067	1237.94934255195
2068	1194.15977179903
2070	1113.87550192555
2073	1204.34726623342
2075	1102.34543882834
2077	1258.61777304736
2078	1157.61599711142
2079	1195.2442154954
2080	1193.79866271343
2081	1146.07276956078
2083	1093.52538448422
2084	1179.11694038236
2085	1146.57813905531
2090	1244.11400183088
2091	1183.149614399
2093	1237.0365559688
2102	1188.71762514971
2104	1107.53877538552
2106	1192.02257900458
2107	1085.6233250042
2115	1163.92624768544
2121	1149.09104650593
2122	1143.47048653797
2128	1167.18138258783
2129	1200.38795081234
2130	1422.00380603616
2134	1128.10243966058
2135	1186.21951767506
2136	1106.38974007382
2137	1350.36641022242
2141	1246.40442143746
2143	1192.98750398062
2144	1284.88666508721
2145	1438.26225072112
2147	1187.42641286233
2148	1157.27146530994
2149	1158.03039551334
2151	1166.74793801075
2152	1187.93605092409
2156	1078.77450505749
2158	1217.24082004628
2161	1144.05327603255
2164	1243.88256207169
2165	1330.35521834274
2167	1136.0856164406
2168	1404.41889197264
2169	1518.27635745321
2170	1169.72100522979
2171	1040.8630633741
2172	1132.23429225976
2175	1384.61874933083
2177	1212.73683462854
2180	1070.50167915705
2181	1207.51565748313
2183	1142.47568399063
2185	1137.88064986667
2186	1113.31608281745
2187	1205.68022547424
2190	1155.56907955403
2191	1087.68429042904
2192	1186.82253219246
2193	1170.47719149323
2194	1207.81994853561
2197	1174.45707694446
2199	1258.92233596801
2200	1145.87223487943
2202	1184.34804296657
2204	1202.07220433601
2205	1126.90995980571
2207	1112.75398379075
2212	1186.48862923914
2213	1261.63606297012
2216	1162.13647262269
2217	1157.04764901533
2220	1317.58673543098
2221	1173.02580116343
2224	1119.60552201394
2225	1266.93134845786
2227	1202.9952252152
2228	1281.6110555803
2229	1192.21885292123
2230	1153.743027491
2231	1279.73214197011
2232	1214.9080058429
2234	1103.64397887364
2239	1172.19370591802
2240	1127.09311872742
2242	1199.88015869961
2246	1189.18297021332
2252	1306.8811312566
2259	1242.44351041223
2261	1117.8043673863
2262	1144.1821028788
2264	1192.28768396795
2265	1191.34221904299
2275	1155.86118528388
2283	1191.02998313357
2333	1220.7543211744
2335	1217.0943102378
2337	1132.99812341583
2338	1380.43126000358
2339	1195.31462135623
2340	1119.87608281233
2341	1242.04920086578
2342	1106.26776219767
2344	1173.73591829108
2345	1208.58761443148
2346	1239.88555546451
2347	1079.61536832881
2348	1192.17861222474
2349	1193.14058994254
2352	1213.92166968343
2353	1247.35021239111
2354	1282.90670521305
2357	1228.89157441034
2358	1121.7994231
2359	1218.60800196028
2360	1194.4229242409
2363	1286.46397218303
2367	1121.57249278055
2369	1235.82039785327
2370	1145.87445839156
2373	1155.81614688991
2374	1266.82023626778
2375	1188.5071377154
2377	1282.91795281487
2382	1106.01564504937
2383	1264.7663806313
2386	1212.30378082456
2388	1221.73382680028
2389	1174.27899207288
2393	1317.84929659831
2395	1203.12943600804
2398	1191.19949848172
2399	1189.06830041315
2402	1261.98458284306
2403	1356.69293625798
2404	1113.49989039187
2405	1067.96609174255
2408	1292.31528985381
2410	1178.43833929656
2411	1184.23459763167
2412	1128.79693053383
2415	1353.20112007504
2421	1176.85417584657
2423	1113.17018843453
2424	1160.74812618401
2425	1139.96944529087
2429	1152.20146133769
2432	1121.08392856245
2434	1199.94159750194
2435	1177.02987346941
2437	1176.73277341297
2438	1282.75565892168
2439	1351.36326911074
2441	1191.21157094722
2443	1403.01972826776
2444	1142.13876343155
2445	1161.37940909229
2449	1258.45960160012
2450	1171.80440518091
2451	1173.77560236794
2453	1195.86020537763
2455	1112.2320417372
2457	1285.55310268834
2458	1081.69975698823
2461	1293.25558657822
2465	1132.52934505209
2468	1335.09054388138
2470	1170.38975687013
2471	1389.03263285554
2472	1140.32955372616
2473	1134.48551940768
2474	1373.12986458086
2477	1135.84649675504
2479	1164.05051829561
2480	1167.66141953009
2481	1370.6412404572
2483	1159.03436750648
2484	1265.72672533903
2485	1484.49503422745
2486	1352.20749851983
2487	1176.72788088421
2489	1376.26395478948
2491	1177.01758958396
2493	1148.89054809757
2495	1120.3889744376
2496	1179.1385446695
2498	1112.00819339418
2499	1195.36690385098
2500	1205.92311239933
2501	1204.47597376288
2502	1329.64927121455
2503	1137.00878718604
2504	1226.83053947907
2506	1032.43385656209
2508	1195.09835864403
2509	1217.07596368518
2511	1205.49121814163
2512	1443.91869270898
2513	1158.87501284785
2515	1224.42025408833
2517	1172.14777138149
2518	1293.45591401201
2520	1167.30376090097
2521	1203.48955511385
2522	1158.13146133897
2523	1166.25476498539
2525	1169.27050941008
2526	1300.86007673706
2528	1200.00082854292
2529	1193.82533246536
2530	1083.65739551926
2531	1272.39041941785
2532	1194.68327902362
2534	1211.86770024869
2535	1148.54186835132
2537	1123.98196857956
2538	1295.62250882215
2539	1261.83112905132
2542	1214.61971311812
2543	1168.0915807034
2544	1125.77386410566
2545	1224.82498824351
2546	1204.11952789815
2549	1170.8146325543
2550	1192.58993332323
2551	1158.34766309598
2554	1140.36914172906
2555	1219.30290919671
2556	1153.6398385815
2557	1310.0124635054
2559	1189.81235075102
2560	1164.39855736063
2574	1374.02123527697
2576	1204.34453585006
2577	1171.80889703207
2579	1231.1547135697
2582	1232.67747960912
2583	1188.56707760528
2585	1204.09868906235
2586	1235.73093787703
2587	1366.52974102233
2590	1563.59789520569
2591	1129.68250786
2594	1217.54188967231
2600	1133.52427458765
2601	1206.06761148162
2603	1385.80080979714
2604	1203.82155472944
2605	1212.53984811572
2606	1201.22830100843
2607	1234.34186427679
2611	1240.13016276163
2612	1306.66359490409
2613	1167.97900745941
2614	1361.37019850202
2619	1371.64916209155
2620	1211.54429200989
2621	1168.89278254479
2625	1148.1018958307
2626	1294.69595962485
2630	1343.85709190931
2632	1198.41933095271
2634	1167.33782783659
2635	1264.17243788038
2637	1158.54239923025
2638	1396.62681692185
2640	1170.87573862866
2641	1209.7508823961
2642	1199.56669939453
2643	1215.38563224727
2647	1222.93789861778
2648	1473.77307045129
2654	1181.47268595051
2655	1164.95256779157
2656	1156.73601590515
2657	1181.5330073556
2658	1136.95319771839
2659	1164.16850659056
2660	1108.28865759995
2662	1128.41016653741
2665	1194.60843696119
2667	1171.59654365519
2673	1164.66426264869
2676	1207.80214153607
2679	1202.23525669065
2702	1247.63412779587
2704	1205.05588826569
2705	1340.55254634558
2709	1200.77422969524
2713	1203.53240340446
2721	1213.55197027873
2723	1205.83451981065
2725	1112.01843636642
2729	1491.57552945501
2733	1274.64344052978
2737	1138.43334261694
2747	1124.84620019496
2757	1147.82578420199
2761	1114.5208212981
2765	1225.23766007428
2767	1192.75369086259
2771	1230.40412456685
2773	1153.71748295527
2781	1167.73043435126
2783	1239.81929095858
2785	1132.93885368371
2789	1272.85858940731
2791	1382.09428901178
2795	1151.81116974371
2797	1183.86824620801
2803	1117.46529844291
2805	1210.99301975538
2809	1182.56020405546
2811	1123.84784804467
2813	1160.04671517446
2815	1105.1607201723
2817	1136.80728216582
2819	1135.16640880511
2823	1188.59865030275
2825	1185.80469185857
2826	1421.62238697863
2827	1197.81170439671
2830	1122.77958232268
2832	1045.7148780529
2833	1154.30114191175
2834	1284.32566476351
2836	1159.71743261623
2838	1096.43318095319
2839	1132.0378043708
2840	1176.40313702576
2844	1280.93483323044
2845	1170.31097720761
2846	1133.83096655337
2847	1167.58682932728
2848	1304.55796682681
2849	1127.25197709012
2851	1413.39692792868
2852	1171.56058774371
2853	1061.25162605869
2854	1191.66281926933
2855	1141.24777504059
2856	1096.34627763784
2861	1130.86702183227
2866	1233.84274912078
2867	1170.71235911179
2869	1167.4267120266
2871	1218.7736551576
2872	1233.3840436255
2874	1107.17929644413
2875	1268.16395211218
2876	1177.3121750711
2877	1272.65772530739
2879	1114.80413477142
2881	1198.13492717165
2882	1145.60419826667
2883	1187.65526697409
2890	1172.88859214522
2895	1109.66526065837
2896	1168.95730981146
2898	1191.69716196755
2900	1135.79399449046
2902	1037.42220102578
2903	1170.65731653073
2905	1228.76969957557
2906	1205.78500960612
2907	1335.93118048485
2909	1115.25233719677
2910	1103.55594157467
2911	1176.28668098888
2912	1115.99432320944
2914	1158.25104896294
2915	1181.33340480263
2916	1171.0764827004
2917	1094.53167873938
2918	1172.63063227196
2922	1274.36434556344
2923	1138.44688475226
2926	1042.093260529
2927	1193.07092512947
2928	1307.64053722749
2929	1203.57515096287
2930	1241.2216451387
2933	1139.51536364018
2935	1197.988266267
2936	1349.91296329938
2942	1127.22056405988
2944	1093.53911741688
2945	1090.09134827095
2950	1193.86200216889
2957	1226.81780644096
2959	1467.68723662095
2960	1256.43867895674
2961	1248.84741159146
2963	1166.80280422826
2964	1201.43519057437
2965	1180.75173000601
2966	1218.59008436148
2969	1139.787778779
2972	1199.28090586327
2973	1176.2045603863
2974	1345.01714621647
2976	1237.14915925876
2977	1273.43132225429
2978	1148.00873029208
2980	1124.98039650169
2982	1144.99863725656
2984	1330.062750106
2985	1194.69448477115
2986	1189.79862426188
2987	1140.87662252822
2988	1163.91812024162
2989	1204.7358654644
2990	1236.31021859779
2992	1275.70788224733
2993	1113.78893544838
2994	1195.86436006859
2996	1370.02388892489
2998	1202.08931686775
3000	1143.93276613032
3003	1293.31003842801
3004	1189.2723809434
3005	1241.84416404112
3006	1161.75147109093
3007	1314.60424771957
3008	1283.25587570261
3009	1119.54572255335
3010	1177.85949270476
3011	1181.60349643924
3013	1200.77696881467
3015	1450.51613073011
3017	1209.92802405159
3018	1196.20114862227
3019	1199.12697835511
3021	1194.66144635446
3022	1099.46749688019
3023	1127.35717777988
3024	1150.10045897425
3026	1109.77903930616
3027	1255.01524210626
3028	1215.26024265357
3029	1124.12485780296
3035	1108.26500924424
3036	1203.43618697167
3037	1123.86249375673
3038	1261.27541207649
3039	1198.67981284881
3041	1233.0831737355
3042	1167.03111269554
3043	1184.82745772176
3044	1224.26093049958
3045	1138.7485025971
3049	1125.52471101168
3053	1139.87224577181
3054	1114.85050185298
3055	1080.49350385937
3056	1279.90003676202
3058	1168.11950635302
3059	1171.23557423906
3061	1324.16313579247
3062	1150.68957240715
3065	1199.18067023938
3067	1232.02351821786
3070	1163.99375640632
3072	1280.06294377152
3075	1213.04511045702
3080	1183.68998233187
3081	1091.78368162201
3082	1199.65145751535
3083	1095.66946863574
3087	1197.23292184397
3090	1217.05551295282
3091	1230.02903427505
3096	1170.84162223598
3098	1131.35615081971
3100	1081.2064890464
3102	1214.91598013777
3103	1136.53581386347
3104	1229.7833758197
3110	1181.6306183097
3116	1155.72545710275
3117	1289.557425726
3120	1197.23407736403
3122	1243.16810678202
3123	1201.50882694152
3128	1124.87343115242
3130	1282.91784571839
3131	1240.77631888762
3132	1296.56136311634
3133	1244.44510901413
3135	1222.56975012163
3136	1138.12804958135
3137	1191.38015555757
3138	1252.63380930017
3139	1242.08717793868
3140	1089.6851438625
3142	1141.365194835
3145	1298.78683582779
3146	1209.06732358592
3147	1201.93549478523
3150	1152.57755304498
3151	1184.24782848137
3152	1132.76302896686
3157	1155.30282890617
3158	1254.97650942764
3160	1306.98842743693
3161	1150.62097605311
3163	1158.37844876055
3164	1222.65667706168
3167	1028.83751255313
3168	1110.33939000611
3169	1102.00840529749
3171	1356.52080593583
3172	1230.83581289448
3173	1418.08718577889
3175	1101.9981405542
3176	1141.77068290111
3177	1147.13092014832
3179	1162.49441713067
3180	1099.32442737796
3181	1211.49648250319
3182	1134.03535955453
3184	1211.70973289324
3186	1230.39713341345
3187	1269.12406291742
3189	1283.1451624838
3192	1150.79076035205
3193	1271.8053060548
3196	1247.99364159832
3197	1094.62924479297
3200	1246.76080413282
3201	1111.35554263891
3202	1245.78608660603
3204	1161.27375363575
3205	1262.44659509547
3206	1165.93921468332
3211	1219.97324360408
3212	1165.79833578824
3215	1180.61558159078
3216	1200.92329098334
3218	1110.60211576571
3219	1155.20903095232
3220	1204.20275963806
3221	1157.65179283424
3223	1166.74385901025
3224	1113.56330639136
3225	1131.82182692271
3227	1258.77650169708
3229	1138.72819724404
3230	1202.56806025031
3234	1272.5981711167
3236	1210.7576974607
3237	1062.41655580015
3238	1222.58743665191
3239	1211.46625701081
3240	1180.26799689447
3241	1198.78301785979
3242	1169.72020692408
3243	1138.4359735702
3244	1230.75840924795
3245	1459.87672441115
3247	1142.30752451742
3250	1233.3112947873
3251	1207.51933565411
3255	1169.84334832444
3256	1057.419034185
3257	1169.05528616996
3258	1175.44295391446
3259	1077.66200955262
3260	1326.05813659101
3261	1200.19139739765
3265	1213.02519759703
3266	1330.18335392097
3267	1172.77713332742
3268	1229.67829236783
3270	1176.19000376642
3272	1139.75819221862
3274	1197.330846215
3275	1141.91639055868
3276	1301.54715388924
3277	1297.46111260891
3278	1159.34519117567
3280	1319.40981878176
3281	1136.72210099405
3282	1153.90236697073
3283	1109.72171943257
3284	1406.6318958928
3286	1154.95471335872
3288	1161.91889927405
3289	1289.98529204712
3290	1141.94635161456
3291	1237.99701587121
3292	1231.46005972282
3293	1157.27729673919
3294	1140.96388122722
3295	1219.09780703459
3297	1222.92004624492
3298	1172.81727759178
3299	1191.55000291719
3300	1205.03508417692
3301	1243.65230916963
3302	1061.69907895085
3303	1170.31452007059
3305	1154.73522911034
3307	1210.71902152356
3309	1358.07046362637
3310	1370.17820785808
3313	1264.00963793651
3314	1465.75815012018
3315	1193.02208524123
3316	1249.45987412619
3318	1122.4423448386
3319	1207.17052455551
3320	1185.73506200797
3321	1105.26495457806
3322	1236.00403297162
3323	1233.57640288805
3324	1318.5004999413
3328	1170.1052140113
3329	1212.00608299809
3330	1198.09945471475
3331	1216.29530877306
3334	1195.83837785802
3335	1247.79268020025
3336	1210.66717228829
3337	1108.25488577378
3339	1172.3689209753
3340	1131.38908017229
3341	1170.48914012496
3344	1224.23028037119
3345	1164.23721688909
3350	1175.71861519516
3352	1166.28406855925
3353	1120.67595098316
3354	1148.77104473434
3355	1221.24792694155
3357	1124.88449455382
3359	1170.74275332224
3360	1271.49686025248
3361	1228.58268463476
3366	1121.61139038932
3368	1122.62781014975
3370	1184.62534399299
3373	1169.36992824097
3374	1220.21871605698
3376	1194.95073053593
3379	1115.87494240893
3381	1113.58518288808
3382	1141.85354969536
3386	1272.48511840831
3387	1343.94322367349
3388	1099.34055814799
3389	1197.46637725849
3390	1114.10461173202
3393	1211.97942975877
3396	1274.66782223516
3397	1142.59158524174
3398	1074.12978051664
3402	1096.76389419352
3403	1196.81053406384
3405	1183.41508202296
3407	1198.10032333603
3408	1182.48536935872
3410	1221.97837005242
3411	1285.50085665828
3413	1186.75163712767
3414	1441.73203874618
3415	1121.57986718985
3417	1170.03011682253
3418	1147.0693394107
3419	1138.70264264397
3421	1287.0299376334
3451	1094.86168861649
3452	1182.31569531843
3453	1031.409363359
3454	1163.59707826584
3455	1168.76372191767
3457	1175.84504225294
3458	1160.50036291329
3459	1209.9354245965
3460	1247.92079267305
3461	1154.40544531021
3464	1185.56308732363
3465	1174.21288209472
3466	1219.9459645432
3467	1379.54358188031
3468	1222.74295198444
3469	1112.66084022159
3470	1157.89220786201
3472	1187.9547172637
3473	1237.70255543288
3475	1142.60105025924
3476	1378.71704051128
3478	1168.68202972644
3479	1228.8782492562
3480	1200.09450359139
3481	1234.38576984596
3482	1142.16993677783
3483	1217.0309901205
3484	1165.29030095208
3485	1226.21188943626
3486	1193.30568751779
3487	1192.87464539881
3488	1186.63729515628
3489	1316.05914294719
3490	1273.81858572381
3491	1069.21829793876
3492	1228.78019114784
3493	1067.18136428509
3494	1087.90313183886
3495	1213.68783905089
3496	1179.2745144448
3497	1179.29930653239
3498	1190.6177107137
3499	1214.20226615421
3501	1316.98245831415
3502	1191.42175322037
3504	1156.29725085298
3506	1239.87943158307
3507	1323.72147598408
3509	1121.56112238182
3510	1163.64756587597
3511	1179.87528953352
3512	1351.65247238273
3513	1104.75997758067
3515	1037.28640791865
3516	1132.43721232589
3521	1123.99340494413
3522	1157.47963268924
3524	1198.26163143061
3525	1203.047106983
3526	1184.95367201416
3527	1113.25330083813
3528	1390.42129382422
3530	1137.68747428216
3532	1124.64021597458
3533	1142.22834512673
3534	1188.02806573266
3535	1214.37010504409
3536	1053.85665934844
3537	1180.44154196326
3539	1455.78157632052
3541	1252.96597352212
3542	1215.94232495779
3543	1119.44170603868
3544	1176.37935135682
3545	1238.88421716293
3546	1177.75483938369
3547	1196.41924671877
3548	1169.25855896068
3550	1145.36890087707
3552	1150.665219852
3554	1205.56753518067
3555	1113.93909314656
3556	1249.93439821688
3557	1186.78994464288
3559	1134.97560676169
3560	1149.53987629661
3561	1157.77090459143
3562	1140.5045701631
3565	1229.06734784295
3566	1093.4281570555
3567	1178.44742242179
3568	1089.8180245225
3570	1105.95378552135
3571	1206.64510454893
3572	1225.95122421008
3573	1214.11054896078
3574	1165.66342677934
3575	1109.8337117978
3576	1176.20878155569
3577	1172.4241421836
3581	1230.07244579597
3582	1193.80168454284
3585	1088.66650374476
3586	1155.31765180118
3587	1215.53524326775
3588	1210.07423236617
3591	1091.98321459319
3593	1364.62312113595
3596	1197.5418714347
3597	1134.13966780856
3598	1251.21455353065
3600	1149.90240394465
3602	1100.75055144086
3603	1091.61933041254
3604	1268.87925503502
3606	1288.19338192261
3607	1031.21268304486
3609	1297.38869046281
3610	1173.22769031277
3611	1199.65426070455
3612	1153.85399925561
3614	1178.53655069801
3615	1082.99884972842
3616	1183.11454433978
3617	1170.20750268844
3618	1145.73159112334
3619	1145.29501901995
3620	1151.315949744
3623	1075.95829915874
3624	1275.3018570828
3627	1221.61172728307
3630	1173.41965864795
3632	1141.49623526039
3633	1201.79414438581
3634	1185.45929560829
3635	1092.81734459584
3636	1147.34324066287
3637	1126.24229968996
3639	1113.76525833464
3640	1078.17050159868
3641	1373.79958395696
3643	1157.68519548348
3646	1109.03616832717
3647	1164.26856542503
3648	1215.50009898183
3650	1192.76891437511
3651	1197.40483498516
3653	1159.41733683997
3654	1199.93184245767
3655	1171.98739434426
3656	1244.67830122977
3658	1145.17469949042
3659	1170.11081669899
3660	1244.63438409591
3661	1190.47324036492
3662	1156.61630289281
3663	1325.6914970453
3666	1213.31013056151
3667	1103.1218418768
3668	1114.43388049551
3669	1218.98206749318
3672	1171.41515240054
3673	1152.36125775814
3674	1231.73643657634
3675	1224.06463396677
3676	1243.3173345102
3679	1236.85133238871
3680	1154.59224622524
3681	1154.30761411163
3683	1261.16353008978
3684	1167.81986903697
3685	1161.55681666465
3686	1190.65952714316
3687	1214.6872734602
3688	1235.01178848454
3690	1140.91391464484
3691	1217.49034897253
3692	1278.01293375296
3693	1209.87161649584
3694	1211.27027951211
3695	1165.31937451729
3696	1190.43935911372
3699	1106.11403969191
3701	1224.22918244384
3703	1174.53848240136
3704	1172.65457160194
3705	1112.68338018752
3706	1082.66358990428
3707	1189.25108981648
3709	1177.14407860779
3710	1222.66956936193
3711	1217.06857159881
3712	1183.4075183448
3714	1190.8096036421
3716	1072.42100870067
3718	1231.30667863768
3719	1069.61730092672
3721	1223.97263049126
3722	1231.46147136893
3723	1207.43584862391
3728	1100.54906331261
3729	1127.20861681004
3730	1168.12104273934
3732	1154.6845656267
3734	1232.17137916051
3735	1124.73972298578
3737	1221.86505937229
3740	1082.5393333918
3741	1243.81716456839
3743	1118.93378077197
3745	1139.35836346362
3747	1261.5602275797
3748	1199.26098457276
3749	1141.80338434396
3750	1234.09846887894
3751	1173.84275208557
3752	1257.62027450179
3753	1389.7795386336
3754	1110.02131721571
3755	1193.75614768395
3756	1183.49559645744
3759	1168.51684800943
3760	1171.04205927242
3763	1148.75134368026
3764	1160.11987907612
3765	1141.74182920284
3767	1134.53442941965
3770	1245.2463607868
3773	1156.67855626115
3777	1203.16267310656
3780	1239.8681051704
3781	1213.34067635734
3782	1140.02532372531
3783	1062.87822077035
3784	1155.03139327427
3785	1250.36771285536
3786	1172.09683475539
3787	1242.88405103211
3788	1109.61153338867
3789	1190.03551804924
3790	1154.41221046298
3792	1180.06963223905
3793	1170.37613600656
3794	1127.77712657412
3796	1184.7310559866
3797	1154.11152027076
3798	1137.32501486933
3799	1215.57173995073
3800	1112.56999807922
3801	1179.48514297619
3802	1354.98512900048
3807	1243.47684550981
3811	1104.97968839489
3812	1335.10945140519
3813	1184.32971043582
3814	1139.79334845991
3815	1121.08194590371
3821	1187.25905893268
3822	1109.64835718264
3824	1424.4877607948
3826	1248.15707123799
3828	1136.77743130474
3829	1192.66037789027
3831	1074.83144694104
3833	1136.40452870554
3834	1243.83455021677
3835	1236.11552807097
3838	1185.15709665619
3839	1195.87169960488
3840	1185.83224144575
3842	1155.26267794936
3843	1216.63855026942
3844	1191.23697632739
3845	1158.65179791598
3846	1219.48188584927
3847	1428.17346094668
3848	1170.7295801908
3849	1168.38445588659
3851	1191.75920401556
3853	1073.96657546736
3856	1240.07801088431
3859	1232.14568261406
3860	1240.86968174852
3861	1092.92803848603
3862	1207.1438942557
3863	1229.84895826883
3865	1165.59819152704
3868	1260.42489516897
3870	1194.96034785039
3871	1196.70537522568
3872	1144.88779882877
3875	1179.56056891591
3876	1121.97614540607
3878	1228.74165587126
3880	1134.84145489137
3881	1234.0136768528
3882	1235.74777427589
3883	1217.63785101467
3884	1162.73776676928
3885	1171.174054929
3925	1225.31180409735
3926	1141.79379902706
3927	1181.81031186062
3928	1446.03315620176
3929	1086.89315133324
3930	1186.00517479541
3931	1269.64332188664
3932	1275.61813399522
3933	1198.24034182664
3936	1131.08390301678
3937	1269.83796373975
3938	1215.71517194739
3939	1260.75029789905
3940	1115.17764241306
3941	1240.86281461363
3942	1157.22354781187
3943	1207.13286377657
3944	1213.70528498011
3946	1232.90497004779
3947	1280.34708829203
3949	1179.99024571197
3950	1233.96658957239
3951	1124.31712537787
3952	1178.71085667828
3953	1135.89714896979
3954	1163.97720250026
3955	1202.7013001056
3957	1170.75054034603
3958	1318.3351645696
3959	1169.23574996509
3961	1207.34391329373
3962	1218.14836056208
3963	1186.42169106159
3965	1220.96472105453
3966	1188.0104693853
3967	1116.43952328273
3968	1171.16147291147
3969	1106.0154688691
3970	1341.53799141712
3971	1218.90950227312
3972	1251.65004040024
3973	1108.12323540307
3974	1309.48892029012
3975	1134.84260247014
3976	1111.73986196145
3977	1251.77607204493
3979	1141.59128202486
3981	1105.69951323104
3983	1199.727328084
3984	1217.65179403485
3985	1271.72135815983
3986	1218.06298839811
3987	1133.37341478829
3988	1092.36348562938
3989	1167.77134297502
3990	1428.71918123344
3991	1211.83596464557
3992	1164.07482900247
3993	1201.47605708105
3995	1195.30118251647
3996	1124.31232212453
3997	1329.94521738016
3998	1191.09875265664
3999	1158.39398712235
4001	1311.57512153928
4003	1233.524531084
4004	1149.93831121785
4005	1165.75965729924
4006	1178.56414935086
4007	1246.04175487951
4008	1253.21590100812
4009	1252.75696109149
4010	1077.58097698408
4011	1246.95113589729
4012	1229.37315043242
4013	1127.59298828622
4014	1264.64012153758
4015	1206.05153757725
4016	1144.66447152114
4018	1151.3119354128
4019	1160.25810483704
4020	1132.96349140125
4021	1147.85353271807
4023	1124.70094339864
4024	1184.36500591621
4025	1162.75174702705
4026	1340.1003966832
4027	1270.28127404597
4028	1257.6128002538
4029	1139.21456277186
4030	1147.09639194407
4031	1218.36648761205
4032	1048.18782072589
4034	1114.81184536521
4035	1163.08912824528
4036	1127.69258767289
4037	1153.86644210856
4038	1241.8919025018
4039	1259.17524059378
4041	1104.3298532874
4042	1155.73174325098
4043	1217.5113616196
4044	1090.52338655588
4045	1208.06437730369
4046	1193.75062479176
4047	1128.82569745581
4048	1187.67108274046
4049	1260.78635090342
4050	1113.28369571121
4051	1125.59033290961
4052	1144.07836240164
4053	1108.99700357095
4054	1267.94917158175
4055	1170.83001091818
4056	1210.49054728383
4057	1210.0294613153
4058	1143.3409274469
4060	1014.18233417492
4061	1239.86203200487
4063	1395.08467436553
4064	1128.60791813184
4065	1157.54310154477
4066	1180.4013181764
4067	1160.19196285458
4068	1179.37640354659
4069	1187.51446410958
4070	1193.77257961248
4071	1211.00811838871
4072	1177.20764452569
4073	1257.8988322137
4074	1198.8763936583
4075	1169.98103856783
4076	1120.97094029801
4077	1221.70385482641
4078	1107.91082565798
4079	1173.29620341117
4080	1292.37620565784
4081	1037.84181433329
4082	1188.79147677889
4083	1095.45198757451
4085	1270.12660782544
4086	1239.6318945328
4087	1164.20149036037
4088	1083.3464915471
4089	1286.84977573591
4090	1095.17189499012
4091	1128.92414430544
4092	1221.02432480033
4093	1156.8325344058
4095	1184.49876070764
4096	1258.84078294089
4097	1197.83287047986
4098	1182.21784061675
4099	1163.20992182575
4102	1196.25662574458
4103	1163.14397646053
4104	1125.4757321273
4105	1100.43931577878
4106	1174.77135592279
4107	1127.26392119278
4108	1187.11387318533
4110	1158.87435417186
4111	1141.03773350231
4112	1198.92107851594
4113	1199.93916386671
4114	1124.42873888487
4115	1160.10484596122
4118	1180.81455814354
4119	1196.02403367279
4120	1221.24325778993
4121	1203.26785314456
4122	1206.5028011909
4123	1159.26375183
4124	1285.88752515142
4125	1206.52878585579
4126	1230.55502581136
4127	1252.31362642756
4128	1144.56273996054
4130	1280.61200675159
4131	1093.67536152029
4132	1182.16559609969
4134	1245.00033317713
4135	1265.89524910317
4136	1141.16281359348
4137	1214.46706871909
4138	1158.79343631485
4139	1292.21742744764
4140	1208.11075978761
4141	1115.57035389715
4142	1207.74044864765
4143	1263.67703407651
4144	1184.18405606017
4145	1147.29803847431
4146	1214.86722847924
4148	1215.1626077893
4149	1199.89970626228
4150	1228.90040539814
4151	1146.75994493287
4152	1184.77486747025
4153	1227.03798408939
4154	1104.5932557378
4155	1167.98018608798
4156	1184.22502999776
4158	1364.51023895093
4159	1232.80720798067
4160	1110.98872836854
4161	1099.20861089011
4163	1142.91070696072
4165	1112.02227421547
4166	1200.10895494731
4167	1140.40134575295
4171	1094.57727130836
4173	1158.80829092968
4174	1244.6437748292
4175	1161.64511061788
4176	1199.87263214658
4178	1143.52764696299
4179	1169.93278677919
4180	1171.29548151843
4181	1205.53846827138
4182	1231.09961038465
4183	1226.30644385149
4184	1215.13111369246
4185	1178.91203812593
4186	1194.54690240063
4187	1156.04901497873
4188	1238.8506979105
4189	1126.62626324781
4191	1225.85812313045
4192	1178.52689474343
4193	1131.73501409751
4195	1142.94470297434
4196	1180.32747327517
4197	1123.83876144016
4198	1234.77614653502
4200	1148.01724333088
4201	1200.81571888892
4202	1109.83383180133
4203	1216.13121645636
4205	1251.3845019251
4206	1174.97893766948
4207	1162.74348565946
4209	1115.61855546881
4210	1233.96692123796
4211	1141.51498468485
4212	1202.43190627967
4213	1193.25341653238
4215	1233.4106961783
4216	1127.34129833445
4217	1136.98837904212
4218	1182.16737214535
4219	1170.96696738048
4223	1187.37523409291
4224	1251.64502514995
4225	1219.15009527221
4226	1135.72656356091
4228	1143.08014215923
4229	1167.93254011617
4230	1146.93032292252
4231	1174.89229271544
4232	1162.86324463433
4234	1007.80265488653
4235	1127.08146092703
4237	1218.23295216381
4238	1125.56000493963
4239	1241.19820953204
4240	1125.74974882145
4241	1193.23970074999
4242	1234.61651945402
4243	1168.84360506419
4244	1202.41963956922
4245	1155.9861823853
4246	1122.56620512879
4247	1170.43914301603
4251	1141.01960945303
4252	1120.95491896701
4253	1179.15484614137
4254	1149.71576843316
4255	1086.28039414152
4256	1243.1234425866
4259	1212.93557384306
4260	1134.80832197996
4261	1138.68534187476
4262	1127.81888372012
4263	1139.01825577877
4264	1230.99406829513
4265	1409.9440029336
4266	1202.75212148264
4267	1144.21432958415
4268	1232.03803975293
4269	1250.63914078739
4270	1232.25358336403
4271	1113.93011576015
4272	1129.41514505836
4275	1079.43107862278
4276	1258.958117401
4277	1108.14108751741
4279	1188.46547728672
4280	1129.08937450395
4281	1224.86760545985
4282	1242.59308897157
4283	1142.79103818027
4284	1189.36914377489
4285	1294.32728837542
4286	1199.26493855126
4288	1170.32945851768
4289	1060.95837747809
4290	1182.22090624886
4291	1212.4461273552
4292	1212.21283741856
4293	1098.61185022255
4294	1211.98324169093
4295	1170.31652941163
4296	1141.49822020607
4298	1196.52770861629
4299	1202.02298674275
4300	1098.17013341134
4301	1168.4672397442
4302	1193.60902675849
4304	1156.46506534882
4306	1205.57923223841
4309	1214.02692070495
4310	1168.07292042071
4311	1185.90570997635
4314	1116.53944856438
4316	1150.81574164928
4317	1099.09060314272
4319	1225.67185605113
4320	1391.45977062742
4321	1152.41239267128
4322	1228.82414720516
4324	1199.71875993154
4325	1277.61948738663
4327	1144.55126104441
4328	1197.06492981312
4329	1219.42734659645
4330	1175.42630780185
4331	1166.69148472087
4332	1167.38667000949
4334	1354.66774259513
4335	1172.8576392772
4336	1204.30520980126
4337	1070.04721840224
4338	1144.7923284902
4341	1153.57863300081
4342	1333.66717196389
4343	1339.1218049285
4344	1105.23226510311
4345	1226.26448211157
4346	1204.42732526463
4348	1141.1211725928
4349	1128.32499707399
4351	1186.42791662358
4352	1183.92473654247
4353	1134.80458931333
4354	1203.37814683414
4355	1141.48800034575
4356	1227.087209501
4359	1188.58655723949
4360	1200.69952989961
4361	1172.72057962524
4362	1218.56108097627
4364	1189.12214967484
4366	1158.18837305729
4368	1148.82836446407
4369	1172.3338468716
4371	1153.31482156647
4372	1106.48508435435
4373	1079.01398736869
4374	1174.37066303259
4375	1204.48469846592
4376	1126.96422190851
4377	1109.0264437023
4378	1157.47796732389
4380	1100.04566326468
4381	1232.20390605812
4382	1108.41089118593
4383	1231.8754748329
4384	1232.2858583201
4385	1190.37931000252
4386	1185.4702884176
4387	1075.14320913319
4388	1229.04022866951
4389	1139.39493284325
4390	1122.94868106553
4391	1176.37083326194
4392	1207.88778109414
4395	1088.56800522471
4396	1124.66244939679
4397	1202.9276307185
4398	1026.94694016844
4400	1127.50311794377
4401	1199.96233566664
4402	1203.37953319008
4403	1099.53870310003
4404	1052.80909969208
4405	1242.62344122337
4406	1063.49864842402
4408	1182.57803849225
4409	1142.38439709454
4410	1141.69178683471
4412	1164.72955351177
4450	1220.75934266221
4451	1384.11517670854
4452	1304.57588522283
4453	1208.97670181348
4454	1063.26768643071
4455	1231.87978884757
4456	1098.19424768811
4457	1151.53652175561
4458	1184.9172430532
4459	1154.1436191137
4460	1263.84200505859
4461	1243.84476919904
4462	1176.66623212113
4463	1146.24566621425
4464	1246.84878160961
4466	1225.49554539186
4467	1122.94634073777
4468	1174.79928047616
4469	1169.3499169776
4470	1107.72759674141
4471	1033.6777037715
4472	1260.74799264512
4473	1252.68758092147
4474	1172.38829319067
4475	1154.63774122398
4476	1202.92083749695
4477	1171.86344693711
4478	1108.99204822242
4479	1104.62904161116
4480	1109.66794025485
4481	1167.86045010138
4482	1211.43644965811
4483	1112.06888761806
4484	1155.41556728644
4485	1200.37611224542
4486	1141.93560850983
4487	1147.29150365805
4488	1241.39056086186
4489	1125.39306023175
4490	1151.23954195648
4491	1199.82439244588
4492	1197.51309533545
4495	1214.38893373547
4496	1171.19430814511
4497	1124.39025940925
4498	1183.96051076521
4499	1234.43994123891
4500	1231.42237658703
4501	1227.32781242596
4502	1249.15306348751
4504	1234.51210418383
4505	1202.76964151083
4506	1193.46482535282
4507	1083.79174528648
4508	1188.34795290824
4509	1306.92373423803
4510	1130.22847090006
4511	1199.62073979204
4512	1240.98225694567
4513	1209.63007298514
4514	1174.93900243999
4516	1161.4168328922
4517	1047.40106468987
4518	1224.26214187652
4519	1203.75735237475
4520	1181.66783685736
4521	1253.46919148897
4522	1185.27834759512
4523	1236.8624202622
4525	1186.13717687468
4526	1170.66727663226
4528	1171.99545292774
4529	1165.31228845394
4531	1204.40965753658
4532	1032.58573597814
4533	1172.92617575169
4534	1208.11105787777
4535	1145.90209413913
4536	1197.01158473417
4537	1173.11464634968
4538	1146.78629385588
4539	1274.0623019172
4541	1235.12921224568
4542	1160.23207281433
4543	1169.41752193169
4545	1232.7254811531
4546	1127.30119210111
4547	1098.67318070806
4548	1157.03216933959
4549	1235.20502123818
4550	1145.24859604471
4551	1199.31607150523
4552	1191.30079056105
4553	1227.28829262458
4554	1130.77880583878
4555	1100.31988326256
4556	1137.21102345393
4557	1171.79540036657
4559	1150.02519467038
4560	1191.61293496944
4561	1153.12234389565
4562	1159.32973714491
4563	1167.94153678735
4564	1195.80026166222
4565	1204.2721345148
4566	1145.51495400684
4567	1229.78057176523
4568	1160.74648237014
4570	1202.3050937973
4571	1258.78563274589
4572	1123.99455527509
4573	1029.51467487536
4574	1197.22164754954
4575	1262.96256109382
4576	1280.09485723417
4577	1175.01349388133
4578	1229.7177111047
4579	1311.97218269573
4580	1146.0937225378
4581	1159.34504782362
4582	1186.69603094094
4583	1260.06302648731
4585	1127.33137856279
4586	1135.20572089565
4587	1277.69675403827
4589	1193.63731106403
4590	1303.88165522934
4591	1245.28253643857
4592	1183.64062618868
4593	1126.09846385299
4594	1151.00457434442
4595	1160.57327196873
4596	1193.4188242425
4597	1217.66563545631
4598	1138.38515461681
4600	1111.32092415261
4601	1194.66824295581
4603	1196.48093792906
4604	1130.04304419249
4606	1199.34866775818
4607	1285.39564629046
4608	1114.53833235578
4609	1180.78797978283
4610	1251.13031482905
4611	1187.19880333453
4612	1183.32983070122
4615	1215.92163780681
4616	1145.19031646509
4618	1213.73217141105
4619	1201.81326599767
4621	1125.30686137498
4622	1180.35105438094
4623	1228.58929601434
4624	1229.61630685263
4625	1176.19419858282
4626	1199.77823482446
4627	1179.94320078371
4628	1145.65109766582
4629	1228.78544873997
4630	1221.16443445515
4632	1199.00576410709
4633	1134.03231294989
4634	1151.38172551554
4635	1158.68304259053
4637	1076.99431785768
4638	1198.88796180891
4639	1084.08420058144
4640	1212.86118513518
4641	1223.74860696041
4642	1199.81469569968
4643	1120.24544030326
4645	1181.78384190675
4646	1244.24520715043
4648	1202.43464694694
4649	1153.72543286362
4650	982.089794296798
4651	1171.55259262785
4652	1093.74723929319
4653	1056.60256481931
4654	1154.04045197726
4655	1169.88432138157
4656	1201.92977116439
4657	1154.90273600888
4659	1237.46785513438
4661	1217.12438158791
4662	1183.78781052475
4663	1221.24223164386
4664	1132.75449767075
4665	1171.52451288264
4666	1136.0689885917
4667	1200.72944938546
4668	1206.19114146863
4669	1175.58410928977
4670	1209.1988549885
4671	1110.89361245317
4672	1111.28350140025
4673	1170.98581058936
4674	1172.07719136555
4675	1107.60213007288
4676	1174.2284056361
4678	1168.27917684811
4680	1039.48464889698
4681	1249.4716946694
4682	1223.41922420855
4683	1169.47864207891
4684	1212.93048205135
4685	1115.30074192017
4687	1215.45359326252
4688	1194.4065205897
4689	1198.19776426133
4690	1225.62561963749
4692	1212.94881720966
4693	1199.22499109885
4694	1171.09005869826
4695	1167.09105944207
4696	1163.30490059229
4698	1165.21144465656
4701	1200.69060532397
4702	1196.00629027072
4703	1141.26576093999
4704	1201.0762811594
4705	1140.13884281152
4706	1233.44015640996
4707	1159.75504933466
4708	1186.23424144233
4711	1139.51564686851
4713	1138.26572949528
4714	1169.61538872201
4715	1200.95033231691
4716	1260.81704415184
4717	1169.65851004199
4718	1209.93014842886
4719	1127.29336875316
4720	1121.01128511953
4721	1069.35729443129
4722	1143.61218925218
4723	1125.85270404079
4724	1197.19823703816
4725	1126.44849672692
4726	1100.41776108631
4727	1186.43715536608
4728	1168.14737293399
4730	1166.06356698833
4731	1229.0200386629
4732	1162.29188833652
4733	1225.61405873162
4734	1201.08206473769
4735	1149.7482810424
4736	1214.57824569301
4737	1193.76150791181
4738	1197.1615147755
4740	1244.44169143776
4741	1201.91186017079
4742	1168.07650716011
4743	1041.31651481374
4744	1188.55844975682
4745	1145.15967413172
4746	1173.27775251891
4747	1081.86246365315
4748	1112.85552992071
4749	1221.35842325523
4750	1106.26307329814
4751	1216.12189968493
4753	1091.05346478885
4754	1187.98476245368
4755	998.879722986273
4757	1156.11347032437
4758	1209.71817951448
4761	1185.59054362967
4762	1185.47756780316
4765	1158.31665070312
4767	1127.8118361406
4768	1116.40533115538
4769	1136.78407372899
4770	1155.50193681833
4771	1137.93171352201
4772	1225.33534018324
4773	1108.35835814322
4774	1102.86871945862
4775	1181.64706221452
4776	1207.35075431759
4777	1145.30582631384
4778	1144.02463726571
4779	1092.33068291562
4780	1165.47494331293
4781	1149.71598385133
4782	1072.53570071915
4783	1177.94184249394
4784	1142.50149603286
4785	1077.39028590692
4786	1119.61577576642
4787	1108.26229647447
4789	1180.85127323254
4790	1183.42877599409
4791	1226.77289361863
4792	1214.42095830569
4793	1066.85041465773
4794	1181.75000684866
4795	1146.03828902451
4796	1113.61698112973
4797	1332.99162879393
4798	1165.40813671457
4799	1197.62673412403
4800	1211.17511453921
4803	1214.76163042569
4804	1124.79248490191
4805	1255.73839796082
4807	1102.18542834292
4808	1138.31499585144
4809	1202.24581825252
4810	1119.52092376664
4811	1121.03119282398
4812	1252.25141636152
4814	1214.25999977625
4815	1189.85870239641
4816	1184.70089881474
4817	1199.68445669747
4818	1152.53475264832
4819	1230.46897335443
4820	1182.27527319276
4821	1210.0816360906
4823	1182.48251964251
4824	1274.00412127724
4825	1147.01795295115
4827	1148.50518719898
4828	1278.93111983802
4829	1210.37691627317
4830	1133.17375468716
4832	1191.36321864805
4833	1123.88222989458
4834	1095.55371195256
4835	1123.55145563676
4836	1138.62509667444
4838	1132.83470089359
4839	1146.96341090907
4840	1166.11151450111
4841	1164.16204016054
4842	1221.94635528239
4843	1132.06854216563
4845	1198.5312620239
4846	1123.13300295534
4847	1185.98943767919
4848	1204.42495894197
4849	1096.67558771439
4850	1214.51286765616
4851	1132.70232544743
4852	1173.6052343879
4853	1169.5893564853
4854	1126.19486187291
4855	1241.04231318184
4856	1101.63239304157
4859	1140.91825536466

``````

Here’s the Perl script I used. It takes a standard input file of a match number (just sequential is fine), red teams, blue teams, (“RED”|“BLUE”|“TIE”) (referring to who won.

``````
#!/usr/bin/perl

my %rating = ();

my @data = <STDIN>;
my \$K = 32;
my \$defaultElo = 1200;

# Just make sure a team number and default value of 1200 exists for each hash.
foreach(@data) {
my (\$match, \$red1, \$red2, \$red3, \$blue1, \$blue2, \$blue3, \$res) = split;

if (! exists \$rating{\$red1}) {
\$rating{\$red1} = \$defaultElo
}
if (! exists \$rating{\$red2}) {
\$rating{\$red2} = \$defaultElo
}
if (! exists \$rating{\$red3}) {
\$rating{\$red3} = \$defaultElo
}
if (! exists \$rating{\$blue1}) {
\$rating{\$blue1} = \$defaultElo
}
if (! exists \$rating{\$blue2}) {
\$rating{\$blue2} = \$defaultElo
}
if (! exists \$rating{\$blue3}) {
\$rating{\$blue3} = \$defaultElo
}
}

foreach (@data) {
my (\$match, \$red1, \$red2, \$red3, \$blue1, \$blue2, \$blue3, \$res) = split;

my \$Ered = 1 / (1 + 10**(((\$rating{\$blue1}+\$rating{\$blue2}+\$rating{\$blue3})/3-(\$rating{\$red1}+\$rating{\$red2}+\$rating{\$red3})/3)/400));
my \$Eblue = 1 / (1 + 10**(((\$rating{\$red1}+\$rating{\$red2}+\$rating{\$red3})/3-(\$rating{\$blue1}+\$rating{\$blue2}+\$rating{\$blue3})/3)/400));

if (\$res eq 'RED') {
\$rating{\$red1} = \$rating{\$red1} + \$K*(1 - \$Ered);
\$rating{\$red2} = \$rating{\$red2} + \$K*(1 - \$Ered);
\$rating{\$red3} = \$rating{\$red3} + \$K*(1 - \$Ered);

\$rating{\$blue1} = \$rating{\$blue1} + \$K*(0 - \$Eblue);
\$rating{\$blue2} = \$rating{\$blue2} + \$K*(0 - \$Eblue);
\$rating{\$blue3} = \$rating{\$blue3} + \$K*(0 - \$Eblue);
}
if (\$res eq 'BLUE') {
\$rating{\$red1} = \$rating{\$red1} + \$K*(0 - \$Ered);
\$rating{\$red2} = \$rating{\$red2} + \$K*(0 - \$Ered);
\$rating{\$red3} = \$rating{\$red3} + \$K*(0 - \$Ered);

\$rating{\$blue1} = \$rating{\$blue1} + \$K*(1 - \$Eblue);
\$rating{\$blue2} = \$rating{\$blue2} + \$K*(1 - \$Eblue);
\$rating{\$blue3} = \$rating{\$blue3} + \$K*(1 - \$Eblue);
}
if (\$res eq 'TIE') {
\$rating{\$red1} = \$rating{\$red1} + \$K*(0.5 - \$Ered);
\$rating{\$red2} = \$rating{\$red2} + \$K*(0.5 - \$Ered);
\$rating{\$red3} = \$rating{\$red3} + \$K*(0.5 - \$Ered);

\$rating{\$blue1} = \$rating{\$blue1} + \$K*(0.5 - \$Eblue);
\$rating{\$blue2} = \$rating{\$blue2} + \$K*(0.5 - \$Eblue);
\$rating{\$blue3} = \$rating{\$blue3} + \$K*(0.5 - \$Eblue);
}
}

while((\$key, \$value) = each(%rating)) {
print \$key . "	" . \$value . "
";
}

``````

Not sure how useful the Elo ratings are, but there is some statistical significance with having teams like 469, 67, 1114 and 2056 near the top. I’m nowhere near good enough with statistics to determine if this is enough data to work with (my instinct says no), but it’s just another interesting way to look at wins/losses

(Edit: Had mistake in my calculation)

I’ve added the dataset used for these calculations to the paper. Feel free to use it to do any more analysis that you’d like.

Yes. By selecting the top 30 teams (in terms of Average Score), the least squares line becomes

``````
y = 1.0486x - 0.7729

``````

with an R^2 of 87.32%. The model actually moves further away away from the line we’re expecting (y = x) when compared with the overall combined model, though it has a much higher R^2 value (a change of 7.02%).

In terms of the percent error model, the new mu is 1.11% with a sigma of 45.10%. The new table for the probability a team will fall within a given percent error is as follows:

``````
10%	17.543%
20%	34.248%
30%	49.396%
40%	62.475%
50%	73.230%
60%	81.649%
70%	87.927%
80%	92.383%
90%	95.396%
100%	97.336%
110%	98.525%
120%	99.219%
130%	99.605%
140%	99.809%
150%	99.912%
160%	99.961%
170%	99.984%
180%	99.993%
190%	99.997%
200%	99.999%

``````

Here’s a table of the different averages and standard deviations for OPRs greater than or equal to the OPR

listed. I see large increases in standard deviation from 10 to 20 (as you observed), and from 30 to 40.

``````
OPR	mu	sigma
80	6.88%	15.60%
70	13.02%	13.92%
60	12.57%	21.20%
50	18.15%	25.74%
40	20.00%	25.31%
30	23.33%	55.35%
20	20.56%	51.77%
10	24.36%	92.58%
0	20.76%	100.66%
-10	3.08%	131.97%

``````

This table has the mu and sigma for all teams within the OPR

bin.

``````
OPR	mu	sigma
80	6.88%	13.51%
70	17.12%	11.27%
60	12.12%	26.05%
50	26.12%	29.06%
40	24.18%	23.79%
30	28.43%	81.58%
20	13.57%	40.66%
10	36.60%	165.01%
0	4.63%	129.47%
-10	-287.83%	216.42%

``````

Let Team A be represented by a Normal model with mu OPR

, and sigma equal to the sigma in the table above multiplied by the team’s OPR
. Follow the same pattern for Team B. Subtract the two normal models (subtract the two averages; A-B, and add the variances to find the new sigma). Integrate underneath this curve from 0 to infinity to find the probability A would score more than B.

This is a method to approximate a prediction strategy I detailed in this post: http://www.chiefdelphi.com/forums/showpost.php?p=1277423&postcount=1

We’re not creating a model for the data we have, which is why I removed it; this wasn’t about creating a regression that was supposed to model the data. Instead, this was about checking one of the properties of OPR

: ideally, it should have a 100% correlation with True Average score, with an intercept of 0 and slope of 1.

That being said, here’s links to the residual plots:

As a function of OPR

:

As a function of True Average Score: