If you can't read please download the document
Upload
ferrol
View
26
Download
0
Embed Size (px)
DESCRIPTION
Dependence of UV radiation on altitude and aerosol optical depth: example Bolivia Monika Pfeifer, Joachim Reuder, Peter Koepke, Frank Wagner. Background. - PowerPoint PPT Presentation
Citation preview
Meteorologisches Institut Theresienstr. 37 D 80333 [email protected] of UV radiation on altitude and aerosol optical depth: example Bolivia
Monika Pfeifer, Joachim Reuder, Peter Koepke, Frank Wagner BackgroundGenerally, solar UV radiation increases with increasing altitude due to smaller optical air masses. This increase in solar radiation is called the altitude effect (AE) which is given as an increase in irradiance relative to the valley side in percent per 1 km.. Erythemally weighted UV radiation was measured with broadband radiometers in Bolivia in 2000/2001 at four altitudes. In 2002 UV radiation and aerosol optical depth were measured in Caranavi, La Paz and Chacaltaya. Caranavi is located in the tropical part of Bolivia at an altitude of 605 m. Because of daily precipitation and wash out of the aerosols, the mean aerosol optical depth was exceptionally low. La Paz (3420 m) and El Alto (4000 m), the stations of the plateau, are important sources of aerosol in altitudes above 3000 m. Mount Chacaltaya (5240 m) is an example of an isolated mountain peak out of the boundary layer. See figure 2 for locations.MethodsAlbedoBoundary Layer (O3, Aerosol)SZAPressureCloudsCompared with low altitudes, radiation at high altitudes traverses a shorter path length through the atmosphere and thus undergoes less scattering and absorption. The constituents of the atmosphere in the layer between the mountain and the valley sites and their interactions with UV radiation are responsible for the different irradiances at the two sites. These interactions are Rayleigh scattering by air molecules, absorption by tropospheric ozone and other gases, scattering and absorption by aerosols. All these effects depend on the solar zenith angle (SZA). Since aerosols are mainly concentrated in the boundary layer, the altitude effect will strongly increase if the mountain station happens to come out of the aerosol layer. Because of the decrease of temperature with altitude, the probability of snow cover at the mountain station increases. Moreover, there is the possibility of clouds between the two levels. Both enhance the albedo of the mountain station and UV radiation is increased through multiple scattering. Figure 1 shows an overview of all the parameters contributing to the altitude effect.Figure 1: Overview of all the parameters contributing to the altitude effect.ResultsMeasurementsConclusionDue to the great natural variability in the altitude effect, even under cloudless conditions, it is impossible to describe this effect by a single number. Moreover, it is necessary to identify the actual atmospheric conditions and albedo of the terrain at the measurement sites in order to interprete the effect correctly and understand it properly. We propose to seperate the effects of the alittude, the albedo and the aerosol optical depth on the altitude effect and to describe it in the future as the combination of three different effects.. Figure 4 shows the altitude of the station against the averaged UVI for an elevation of 20 - 70 . The difference in UVI for an elevation divided by the difference in altitude of the two stations gives the altitude effect. The mean altitude effect measured between Caranavi and La Paz was 5.5 10.1 %/ km dependent on the solar zenith angle. These values are in good agreement with the values reported by Cabrera (4 10 %/ km) and Piazena (8 -10 %/ km) from the Chilean Andes. An altitude effect of 9.2-12.7%/ km between La Paz and Chacaltaya and 8.1-12.5 %/ km between Caranavi and Chacaltaya was obtained. Because the Chacaltaya is already located outside the boundary layer, the differences in UV radiation between the plateau and the mountain are very high. Cabrera presented an altitude effect of only 2 %/ km for altitudes from 3000 5000 m. Our effect is more pronounced because of the important aerosol sources in altitudes of more than 3500 m. This effect is even stronger at El Alto. The altitude effect between Caranavi and El Alto shows relative small values of 4.1 - 6.8 %/ km. The altitude effect between El Alto and Chacaltaya reaches values from 14.3 - 23.0 %/ km. In El Alto less UV radiation was measured than in La Paz, although it lies 580 m higher than La Paz. A comparision of La Paz and El Alto would result in negative altitiude effects, because of the dominating aerosol effect. The maximal altitude effect for erythemally weighted UV radiation was measured for an elevation of 20 .Figure 3 shows the measured UV irradiance at Caranavi after calibration. In the upper figure, UV radiation is affected by changes in cloudiness, total ozone content, aerosol properties and albedo. In the lower figure, the irradiance was normalized to a fixed total ozone content and only cloud free measurements were taken into account, because variations in cloud cover between the mountain and valley site would dominate the altitude effect. At this point the UV radiation varies only with solar elevation, atmospheric turbidity and changes in the albedo of the terrain. The albedo in La Paz, Caranavi and El Alto can be assumed to be constant during the measurements, so the remaining variability of the UVI represents natural changes of atmospheric turbidity during the measurements.The mean UVI and standard deviation were calculated for elevations from 20 70 in steps of 10 and this data was used to calculate the altitude effect.
References: Pfeifer, M (2003): Hhenabhngigkeit der UV Strahlung: Untersuchung am Beispiel Boliviens (Diploma Thesis) Cabrera et al. (1995): Variations in UV radiation in UV radiation in Chile. Journal of Photochemistry and Photobiology, Biology 28:137-142 Piazena, H (1996): The effect of altitude upon the solar UV-B and UV-A irradiance in the tropical chilean andes. Solar Energy, 57: 133-140Figure 4: The altitude of the station against the averaged UVI for elevations 20 70 . For clarity, the data has been grouped into boxes corresponding to the fixed elevations examined.This elevation is displayed above each box. Figure 3: Calibrated UV measurements in Caranavi. In the upper figure UV radiation varies with clouds, changes in the total ozone content, aerosol properties and albedo. In the lower figure only cloud free cases are considered and the data is normalized to a fixed total ozone content. AltitudeFigure 2 : Map of Bolivia with the stations used in this study.Meteorological Institute of the University of MunichTheresienstr. 37; 80333 Munich; [email protected]
Diagramm1
0.00087202
0.0015026688
0.0017151673
0.0018957863
0.002100599
0.0021367678
0.0023295143
0.00234781
0.0026787457
0.0027187051
0.0027992837
0.0029800117
0.0029800349
0.0029951799
0.0030072944
0.0030225312
0.0030567014
0.0034482007
0.0034704237
0.0036063886
0.0038602123
0.0040070441
0.0040939562
0.0041646441
0.0041846396
0.0042783398
0.0043375104
0.0043470414
0.0045296464
0.0046221773
0.0047030833
0.004712733
0.0047129789
0.0047270678
0.0047387664
0.0047697619
0.0048349702
0.0048587923
0.0048888084
0.0051371837
0.0053294877
0.0053783716
0.005503714
0.0055101491
0.0057145026
0.0059363212
0.0059847764
0.0059882476
0.0059906133
0.0061197071
0.0061737891
0.0062952676
0.0062974185
0.0063840173
0.0064175676
0.0064377578
0.0064734954
0.0065339286
0.0065339792
0.006534282
0.006538527
0.0065940076
0.00665362
0.006690601
0.0067191175
0.0067256302
0.0068526152
0.0069038694
0.0069130765
0.0069341596
0.0069575765
0.007015896
0.0070273986
0.0070324348
0.0071779809
0.0071851006
0.0074371254
0.0075152213
0.0075215404
0.0075735722
0.0075931237
0.0076363125
0.0076689527
0.007708333
0.0077881044
0.0078101378
0.0078174052
0.0078248742
0.007961179
0.0080098243
0.0080216829
0.008111092
0.008204276
0.0082443995
0.0082536737
0.0082664611
0.0082672518
0.0082806025
0.008437898
0.0085138564
0.0085201998
0.0085611175
0.0085860567
0.008613597
0.0086196278
0.0086216062
0.0086756147
0.0086922497
0.0087635716
0.0087636712
0.008798197
0.0088038934
0.0088634874
0.008866103
0.0088864688
0.0089314991
0.0089668461
0.0089675977
0.0091773129
0.0092223437
0.0092843003
0.0094610717
0.0094833707
0.0094944682
0.0094977437
0.0096294223
0.009652271
0.0096760328
0.0096814845
0.0098070191
0.0098449113
0.0098490473
0.0098513506
0.0099100987
0.0099713179
0.0099742935
0.0100727444
0.0100784412
0.0100851852
0.0101549274
0.0102533868
0.010302385
0.010315534
0.0103176109
0.0103280202
0.0103489542
0.0103907326
0.0104102607
0.0104118503
0.0104123983
0.0104345556
0.0104980148
0.0105196087
0.0105475088
0.0105514876
0.0105793909
0.0105950991
0.0106206117
0.010628461
0.0106814813
0.0106853749
0.0106887961
0.0106901915
0.0107981787
0.0108749185
0.0109242993
0.0109452634
0.0109524587
0.0111092262
0.0112278802
0.0113603576
0.0113795109
0.0114622424
0.0114767827
0.0115736726
0.0115800228
0.0115920409
0.0116211299
0.0116405642
0.0116897338
0.0117126121
0.0117575841
0.011764963
0.011773802
0.0118221989
0.0118836187
0.0119075345
0.0119093798
0.0119144776
0.0119706624
0.012056668
0.0121281911
0.0121326737
0.0123406154
0.0123760786
0.0124411776
0.012499132
0.0125376644
0.0125682617
0.0125798096
0.0126015513
0.0126230686
0.0127115619
0.0127141146
0.0127269046
0.01273184
0.0128597133
0.0130255736
0.0130795332
0.0131547086
0.0132523769
0.0132765618
0.0132966691
0.0133097497
0.0133385675
0.0133641322
0.0134401968
0.0134557989
0.013497731
0.0135605554
0.0136277244
0.013679353
0.0137751811
0.0137861149
0.0138059999
0.0138264629
0.0138694977
0.0138817371
0.0138865298
0.0138885436
0.0139337312
0.0139620619
0.0139646554
0.0139691046
0.0140098845
0.0140178398
0.014029873
0.0140613551
0.014094533
0.0141875056
0.014192582
0.0142168811
0.0142519107
0.0142537976
0.0142656665
0.0142686991
0.014311709
0.0144277341
0.0144292522
0.0144371217
0.0144659185
0.0144825179
0.0144861507
0.0145016839
0.0145154535
0.0145496092
0.0145583609
0.0145777437
0.0146432895
0.0147243183
0.0147461359
0.0147505339
0.0147819879
0.0148000876
0.0148624716
0.0148730346
0.0149489251
0.0149534313
0.0150079191
0.0150352546
0.015048261
0.0150519044
0.015064554
0.0151005314
0.0151378207
0.0151827173
0.015276891
0.0153680922
0.0154136119
0.0154679965
0.0154866998
0.0155314673
0.0155949911
0.0156070849
0.0156872272
0.0157500249
0.015756947
0.0158179988
0.015818595
0.016003544
0.0160096727
0.016022631
0.0160398141
0.0160497789
0.0161174177
0.0161260416
0.0162394552
0.0162456835
0.0162941918
0.016309133
0.0164679201
0.0164739509
0.0165307063
0.0165616732
0.0166357763
0.0166673941
0.0166969597
0.0169395972
0.0170834509
0.0172176057
0.0172535508
0.0173406297
0.0173927834
0.0175269249
0.0175365608
0.0175828549
0.0175891522
0.0176887264
0.0177142122
0.0178095289
0.0178654269
0.0178737329
0.0179374235
0.0179557733
0.0180392442
0.0180520032
0.0180621582
0.0180913963
0.0181001471
0.0181357619
0.0181469075
0.0181551069
0.0182800849
0.0182842255
0.0183029362
0.0183666281
0.0184028694
0.0184693708
0.0184813598
0.0185923689
0.0186491523
0.0187280844
0.018748087
0.0187503446
0.0187664038
0.0188343803
0.0189255062
0.0189455112
0.0189705684
0.0190282524
0.0190782444
0.0191863834
0.0191989929
0.0192153861
0.019276916
0.0195091409
0.019518718
0.019560137
0.0195670962
0.0195757606
0.019602529
0.0196869038
0.0196882198
0.0196949086
0.0197160689
0.019874751
0.0200414153
0.0201391921
0.0201690762
0.0201769302
0.0202155695
0.0202976464
0.0203516399
0.0203611813
0.0204579084
0.0204731195
0.0207800833
0.0207868679
0.0208353195
0.0208780976
0.0208893632
0.0210392452
0.0211612327
0.0212732719
0.021321823
0.0213682009
0.0214445835
0.0215671121
0.0215741002
0.0215966472
0.0216212478
0.0218039287
0.0218302687
0.0220860435
0.0221158211
0.0221330549
0.022176212
0.022196611
0.0223796786
0.0224989857
0.0225164168
0.0225425492
0.0226280669
0.0226686671
0.0227271488
0.0228827071
0.0229260104
0.0229430024
0.0229646377
0.0230700759
0.0231076891
0.0231189703
0.0231893719
0.0231999479
0.0232084175
0.0232906677
0.0233367971
0.0233369517
0.0233560464
0.0233577324
0.0233711778
0.0233894057
0.0234266207
0.0235866924
0.023587303
0.0236085285
0.0238610793
0.0238670838
0.0238748274
0.0239365496
0.0240581091
0.0240662453
0.0241917586
0.0242061672
0.0242130254
0.0244315404
0.0245528847
0.024570792
0.0247223813
0.024777595
0.0248456533
0.0248768989
0.024942071
0.0249824424
0.0250306014
0.0251187003
0.0251826353
0.0253468547
0.0253847118
0.0254044716
0.0254503185
0.0256101629
0.025630262
0.0256911785
0.0257444323
0.025899026
0.0259190187
0.0260195682
0.0260202401
0.0260225709
0.0260592325
0.0261687753
0.026297916
0.0263354793
0.0263552952
0.0263693434
0.0265024789
0.0265667554
0.02671053
0.0267309376
0.0267376141
0.0267534223
0.0268036127
0.0269533305
0.026991053
0.0270001553
0.027012492
0.0270424064
0.0270898564
0.0271230194
0.0271739147
0.027262577
0.0273631336
0.0273695
0.0274171435
0.0274258348
0.0274259532
0.0274328623
0.0275078031
0.0276892138
0.0276959711
0.0277209833
0.0278549893
0.0280157327
0.0281552734
0.028218881
0.0283622053
0.0284227047
0.028478677
0.0285039511
0.0285438945
0.028703276
0.0287094828
0.0288154123
0.028831726
0.0288560375
0.0288827353
0.0289434406
0.0289645754
0.0289660513
0.0291694211
0.0291844332
0.0292551636
0.0294710883
0.0295396364
0.0295741787
0.0295864048
0.0296374608
0.0296832708
0.02968709
0.0297086525
0.029744973
0.0298036859
0.0298689017
0.0298841685
0.0299027013
0.0300839846
0.0302025812
0.0302341761
0.0302538549
0.0303555116
0.0304265613
0.0305053605
0.0306209617
0.0308779323
0.030904113
0.0309133231
0.030926636
0.031061758
0.0311023555
0.0312401368
0.0317606551
0.0318379428
0.0318646673
0.0318664763
0.0319036679
0.0319933403
0.0320458369
0.032093788
0.0321374977
0.0321873825
0.032202744
0.03222397
0.0322318031
0.0322431556
0.0322499243
0.0322811394
0.0323577264
0.0323788731
0.0324524634
0.032682806
0.0327353748
0.0329114941
0.0330269393
0.03305222
0.033137909
0.0332237148
0.0332348825
0.0333017292
0.0333804074
0.0334772109
0.0335378148
0.0335769661
0.0337018737
0.0337135956
0.0337163662
0.0338061029
0.0338078552
0.0339087684
0.0339864904
0.0340091966
0.0340459799
0.0340775211
0.0341801748
0.0344015865
0.0344028792
0.0346615341
0.0347724483
0.0348163481
0.0348751019
0.0349484987
0.0349918752
0.0349960755
0.0351777978
0.0352337733
0.0352546365
0.0355699181
0.0356293355
0.0357741044
0.0357934387
0.0358112913
0.0358862439
0.0359101702
0.0359203728
0.0359867968
0.0360405197
0.0360564027
0.0361323628
0.0361325106
0.0361513422
0.0361556757
0.0361758625
0.036354894
0.0363751247
0.0365063456
0.0365432823
0.0367713004
0.0368243166
0.0368309362
0.0369242679
0.0369930615
0.0370326126
0.0371910572
0.0371940944
0.0372262025
0.0372492083
0.0373713871
0.0375003259
0.037541332
0.0376818278
0.0378252925
0.0379175104
0.0379355901
0.0379607562
0.0379676449
0.0380225333
0.0381508946
0.0382725213
0.0383360317
0.0383544194
0.0383886066
0.0386137303
0.0386932526
0.0389804403
0.0390479974
0.0390521037
0.0392041124
0.0392346519
0.0392509112
0.0394944778
0.0395709019
0.0397216627
0.0397822168
0.0398599329
0.039944512
0.0400091012
0.0400453734
0.0400455025
0.0401316778
0.040208994
0.0402190921
0.0404533686
0.0404938369
0.0407310031
0.040740811
0.0408138126
0.0408266651
0.0409085616
0.0409416446
0.0410936355
0.0411254808
0.041157235
0.041310835
0.0413482445
0.0415896626
0.041642781
0.0416832049
0.041740865
0.0418848758
0.0419306916
0.0420065427
0.0420645767
0.0421322432
0.0421601995
0.0422309268
0.0424018684
0.0425308962
0.042624351
0.0428436656
0.042937819
0.0430030221
0.0430704853
0.0430975124
0.0433087623
0.0433979729
0.0435169469
0.043558247
0.0435792123
0.0436849843
0.0436872879
0.0437210221
0.0438485374
0.043858171
0.0439005728
0.04399915
0.0440079733
0.0440909068
0.0443634294
0.0443775357
0.0445133706
0.044602517
0.0448110049
0.0448793114
0.0449153766
0.0450169488
0.0450351855
0.0452460553
0.0453950917
0.0455136903
0.0455659204
0.0457106766
0.0457414805
0.045872312
0.0460330046
0.0460349052
0.046168284
0.0466831783
0.0468240107
0.0468636872
0.0469102351
0.0469727937
0.0471284217
0.0472982561
0.0474301793
0.0474543757
0.0474790469
0.0475009197
0.0476949666
0.0479648332
0.047976602
0.0480838584
0.0481150811
0.0481292904
0.0481492321
0.0482122777
0.0482906521
0.0483378145
0.048345424
0.0484154919
0.0484687788
0.0485254905
0.0485490692
0.0485491984
0.048661602
0.0486940843
0.0488166376
0.048819323
0.0488202277
0.0488207183
0.0488600793
0.048925224
0.049085127
0.0490955131
0.0491431624
0.0492444802
0.0492762753
0.0493003904
0.0493628466
0.0498702271
0.0499000417
0.0499021701
0.0502368462
0.0503300816
0.0504156452
0.0504530618
0.0505659768
0.0506732489
0.0507901965
0.0513505433
0.051725321
0.0519218583
0.0519467466
0.0519605875
0.0519871812
0.0521085532
0.0521150943
0.0521197018
0.0523534316
0.052360484
0.0525714691
0.0526382193
0.052826174
0.0529346468
0.0529896058
0.0530110249
0.053348857
0.0534188232
0.0535081396
0.053700217
0.0538478381
0.053923713
0.0540150787
0.0542577866
0.0542725631
0.0542911817
0.0543073014
0.0544317571
0.0544691149
0.0545878952
0.0547042574
0.0547150635
0.054878502
0.0550341785
0.0553687945
0.0555568109
0.0556124501
0.0556243732
0.0556920817
0.0557729347
0.0558403788
0.0559178819
0.0559295477
0.0564191567
0.0565020486
0.0565202029
0.0565922775
0.056716427
0.0569726132
0.0569779373
0.0571321891
0.0572137471
0.0572715595
0.0573258896
0.0573311691
0.0574416694
0.0575318164
0.0577463731
0.0577747971
0.0577987525
0.0580218302
0.0580803652
0.0581067814
0.0581155955
0.0582616964
0.058453254
0.0585372654
0.0587306648
0.0591080305
0.0593242686
0.0597300782
0.0598539629
0.0599277181
0.0599818897
0.0600023126
0.0603986429
0.0604429366
0.0605943544
0.0606418714
0.0610707786
0.0610894109
0.0610979524
0.0612470385
0.0614390266
0.0614821335
0.0615545177
0.0620117738
0.0622667562
0.0622835728
0.0623268936
0.0623385502
0.0624674696
0.0624809766
0.0628342393
0.0630369031
0.0630966289
0.0631148274
0.063134259
0.0631376257
0.0634680331
0.0638450646
0.0638560848
0.0638897835
0.0639338997
0.0640732481
0.0641293293
0.0642936446
0.0643559339
0.0643584612
0.0644655964
0.0645331834
0.0646325052
0.0646787817
0.0647824761
0.0651709204
0.0651920317
0.0653123571
0.0654004776
0.0654697648
0.0657590641
0.0658099132
0.0659177798
0.0660595817
0.0661973651
0.0662617969
0.0663092315
0.0665915542
0.0665983713
0.0666841349
0.0672167243
0.0672289919
0.067818699
0.0678734266
0.0679117437
0.0680244621
0.0680780785
0.068367224
0.0684035515
0.0684480149
0.0685343444
0.068746926
0.0687848893
0.0689625629
0.0689840806
0.0692656475
0.0692743407
0.0694455777
0.0698797324
0.0699679072
0.0701853515
0.0702065315
0.0702497326
0.0704944839
0.0705496288
0.0706511072
0.0707400789
0.0707668817
0.0709338093
0.0711434801
0.0711779715
0.0713052774
0.0713684338
0.0714074774
0.0715057871
0.0716528248
0.0717106659
0.0718979688
0.0721706295
0.0723763645
0.0726345158
0.0726541723
0.0727845279
0.0731993766
0.0735206938
0.0736275632
0.0736683602
0.0737396398
0.0743612092
0.0746815922
0.0747112625
0.0747921445
0.0748658912
0.074881952
0.0749592431
0.0753230014
0.0753393317
0.0753510099
0.0757070081
0.0758844713
0.0759931248
0.0764351638
0.0766541544
0.0768240822
0.0768949626
0.0769853501
0.0770679543
0.077378026
0.0776073676
0.0777636131
0.077961515
0.0782211597
0.0782779175
0.0784823297
0.0785146366
0.0788304755
0.0788891306
0.079117138
0.0792551334
0.0792975986
0.0794156592
0.0794960525
0.0798010656
0.0800647546
0.080295735
0.0807957063
0.081258878
0.0813249458
0.0813554814
0.0813916
0.0814434029
0.0816181284
0.0819329329
0.0820652031
0.0821106727
0.0822187669
0.0823597107
0.0823843798
0.0824559649
0.0824747985
0.0825334551
0.0826089983
0.0828084905
0.0828950104
0.0829711253
0.0830525091
0.0830572837
0.0831118989
0.0831487786
0.0831576751
0.0838514028
0.0841297589
0.0844370889
0.0846175802
0.0846262872
0.0847485231
0.0851198259
0.085170831
0.0852522034
0.0853065502
0.0853929408
0.0856720465
0.08573781
0.0860911502
0.0862910425
0.0864005505
0.0867860055
0.0871046706
0.087188366
0.0872743802
0.0873356269
0.0876657099
0.0881159905
0.088236949
0.088312078
0.0886045626
0.0886290008
0.0888561318
0.0891754064
0.0892395508
0.0895131144
0.0895829102
0.0897232021
0.0900159463
0.090060589
0.0904601634
0.0905284033
0.0905604736
0.0905906414
0.0907655162
0.0909273526
0.0912842442
0.0914354549
0.0915170527
0.0921929653
0.0922984698
0.0930348923
0.0933763149
0.0936245181
0.0936399059
0.0938015087
0.09391188
0.0939121775
0.0940758998
0.0945564596
0.0946256535
0.0948292328
0.0948674461
0.09510156
0.0951214993
0.0952337483
0.0953811277
0.0953846008
0.0953858977
0.095478715
0.095508336
0.0960075688
0.0962716015
0.0962916684
0.0964765028
0.0976011773
0.0978589361
0.0979258903
0.0979684803
0.0981222422
0.0982518082
0.0982696161
0.0987926176
0.0988485094
0.0988661159
0.0991342251
0.0992629561
0.0994509671
0.099477815
0.1002804262
0.1002946864
0.1005991546
0.1008178472
0.1009700755
0.1015735306
0.101726971
0.1017417133
0.1017949724
0.1018018963
0.1018483021
0.1021345407
0.1024310675
0.1026945494
0.1029820452
0.1030535199
0.1031326707
0.1031685462
0.1032492664
0.103310378
0.1033165767
0.1033493866
0.1037688791
0.1037872427
0.1038245135
0.1043076531
0.104600326
0.1046035307
0.1048303455
0.1048572219
0.1055321008
0.1057345508
0.1060386054
0.1060492103
0.1060557017
0.1061144416
0.1062450098
0.1063796557
0.106570859
0.1066502217
0.1074277334
0.1074842563
0.1075085078
0.107651847
0.107784599
0.1078197025
0.107864402
0.108032607
0.1081639389
0.1081898479
0.1085835624
0.108630245
0.1089321973
0.1090484153
0.1090756739
0.109196407
0.1093242317
0.1103677492
0.1107962983
0.110876589
0.111317619
0.1114727769
0.111773174
0.1117782659
0.1120108673
0.1123151434
0.1124410762
0.1130266738
0.113036532
0.1131932725
0.1132543345
0.1133217745
0.113326378
0.1133469118
0.1135593759
0.1135897681
0.1137481574
0.11377586
0.1139286115
0.114732339
0.1147594861
0.1148043638
0.1149622777
0.115050236
0.1152507367
0.1153120338
0.1155576478
0.1158108452
0.1158837989
0.1163264823
0.1165320111
0.1167336394
0.1168016928
0.1169909856
0.117294941
0.1173406478
0.1175240701
0.1179339708
0.118041138
0.1181835365
0.1181839981
0.1183867029
0.1184451955
0.1184792596
0.1185668834
0.1187399616
0.1189662898
0.119166084
0.1191941969
0.1194747252
0.1197765367
0.1201599604
0.1203629621
0.1203890706
0.1204014087
0.1204193295
0.1206180145
0.1209487024
0.1209647138
0.1210794971
0.1211013752
0.1212038762
0.121278974
0.1213395227
0.1214431505
0.1217912932
0.1219044939
0.1221835514
0.1222625619
0.1227889556
0.1228340627
0.1228365221
0.1229927408
0.1233703541
0.123668538
0.1237480943
0.1238235741
0.1238375868
0.124321345
0.1244075566
0.1244668505
0.1245982306
0.1247488213
0.1247641421
0.1252828782
0.1256727102
0.1260153922
0.126056763
0.1262355498
0.1266085534
0.1266781037
0.1272726354
0.1274778347
0.127542072
0.1276189496
0.127994477
0.1280135777
0.1285812824
0.1285880608
0.1287588977
0.1290499297
0.1290615902
0.1291632148
0.1293466603
0.1295078161
0.1296338926
0.1299763491
0.1300437496
0.1300704405
0.130321473
0.1304669596
0.1307937073
0.1307962671
0.1308498663
0.1308896857
0.13111565
0.1312530328
0.1314566271
0.1320664385
0.1324210727
0.132510135
0.1328358155
0.1329048934
0.1330733342
0.133219562
0.1332966341
0.1337184515
0.1338086574
0.1338211399
0.1338441281
0.1341330718
0.1345193547
0.1348787054
0.1352009922
0.1352019536
0.1354721755
0.1356697127
0.1361276975
0.1362977585
0.1363269991
0.1364531573
0.1365420606
0.1369193899
0.1371246755
0.1371911079
0.1376720768
0.1377880507
0.1380647382
0.1380958113
0.1382985203
0.1382985727
0.1383859594
0.1386858428
0.1388029517
0.1389704038
0.1390733149
0.1391477777
0.1398038785
0.1398130557
0.1400772543
0.1401377198
0.1402882277
0.1405963682
0.1407431617
0.1408276253
0.1412494297
0.1412628192
0.1413680213
0.1414118453
0.141683048
0.1417717011
0.1418385219
0.1422178988
0.1424283471
0.1425838701
0.1434746615
0.1436868626
0.1439075731
0.1445370176
0.144736273
0.1450732343
0.1451796404
0.1452504099
0.1456098157
0.145622482
0.1456992129
0.14624246
0.1462859103
0.1462944071
0.1465740644
0.1467108738
0.1467244428
0.1471951749
0.1472577489
0.1472697084
0.1473687092
0.1476419923
0.148025287
0.1483294285
0.1483587854
0.1485579678
0.1487230331
0.1487695059
0.1489483247
0.1489679512
0.1489703461
0.1489736003
0.1493137266
0.1493425878
0.149375705
0.1495747724
0.1501156812
0.1501789037
0.1503671658
0.1506286783
0.150878485
0.1512177149
0.1515670641
0.1517151185
0.1517926603
0.1519088714
0.1522819186
0.152340397
0.1523939586
0.1523943666
0.1524639035
0.152691488
0.1527349985
0.1528028413
0.1530841904
0.1533885428
0.1534839377
0.1537058641
0.1540554252
0.1544583964
0.1545368529
0.1546052099
0.1547201756
0.155165218
0.1552612483
0.1552802982
0.1555131501
0.1559434951
0.1562085509
0.1564113762
0.1567561023
0.1567927018
0.1574988233
0.1578279886
0.1579770762
0.1580138985
0.1580304025
0.158261101
0.158486899
0.1585281095
0.1585738652
0.1586559335
0.1586732037
0.1588737261
0.1591792971
0.1593967596
0.1595380762
0.1598112131
0.1599825937
0.1604149397
0.1614291837
0.1614454793
0.161576585
0.1617672331
0.1617977049
0.1625817328
0.1625828054
0.1627425588
0.1633468874
0.1635512433
0.1636273214
0.1638540482
0.1640045776
0.1641452276
0.1646946254
0.1648794572
0.1649266228
0.165345365
0.1656255276
0.1659559643
0.1661719842
0.1664493502
0.1670209715
0.1671650696
0.1672021311
0.1672235241
0.1678152954
0.1678354769
0.1682878012
0.168469261
0.1688015875
0.1689408372
0.169093833
0.1691822585
0.1692015903
0.169329289
0.1693369715
0.1703303194
0.1704383858
0.1704696114
0.1704810231
0.1706490473
0.1711773309
0.1712738776
0.1712740491
0.1717541185
0.1723335459
0.1723940882
0.1724285769
0.1727332119
0.1727369484
0.1729925042
0.1730562781
0.1732914278
0.1734048249
0.1735476935
0.1737603185
0.1738868161
0.1742284742
0.174355543
0.1746661239
0.174793845
0.1748654646
0.1753453977
0.1754384717
0.1756656337
0.1759612151
0.1760011549
0.1761094199
0.1762080666
0.1763444259
0.177020856
0.1770296308
0.1772649478
0.1773465834
0.1775137178
0.177592315
0.1778157036
0.1781556393
0.1782807318
0.1785741858
0.1785830916
0.1792454376
0.1796495072
0.1805406499
0.1806223698
0.1809246612
0.1812961329
0.1813236635
0.1813552644
0.1813819235
0.1816070492
0.1816892262
0.181858537
0.1818662214
0.1819097753
0.1829999291
0.1831613913
0.1834900157
0.1837558048
0.1841743341
0.1842579611
0.1844519978
0.1844690744
0.1846309903
0.1847715252
0.185184286
0.1855633986
0.1856043225
0.185924651
0.1859920232
0.1861541798
0.1868144873
0.1868648347
0.1870841721
0.1873557972
0.1879137742
0.1879222387
0.1884488435
0.1887210404
0.1895148666
0.1898300943
0.1898609727
0.1898992395
0.189944479
0.1900596318
0.190222573
0.1907903869
0.1908024205
0.1912450959
0.1915512449
0.1916872539
0.1924301757
0.192516858
0.192718817
0.1934456357
0.193635115
0.1938556216
0.1939947484
0.1941681025
0.1942988495
0.1946611473
0.1950676199
0.1953310061
0.1956121422
0.1958003302
0.196412122
0.1964159637
0.1964606172
0.1967286914
0.1968046817
0.1970768841
0.1975867142
0.1977680659
0.1978456738
0.1979467287
0.1982900908
0.1983131101
0.1983977724
0.1985216776
0.1988663924
0.1993390918
0.1996353914
0.200306535
0.2003459334
0.2004793515
0.2004808028
0.2005044982
0.2005204775
0.2006254982
0.2012658922
0.201528909
0.2015329134
0.2017289974
0.2019020811
0.2020705037
0.2022051294
0.2024541882
0.2026168083
0.2026615225
0.2033978491
0.2038860461
0.204084883
0.2047492365
0.2049281202
0.2050326062
0.2051199451
0.2053620796
0.2054370345
0.2054841772
0.2058772213
0.2066381003
0.2071034564
0.2072594212
0.2074592427
0.2075617188
0.2078211768
0.2078686824
0.2084125761
0.208731397
0.2087771623
0.2092405137
0.2098527135
0.2099493307
0.2101711726
0.2107568723
0.2111502857
0.2113772465
0.2114171234
0.211624324
0.2116307852
0.2122085813
0.2135796627
0.2136605938
0.2142878194
0.2142982227
0.2145672196
0.2146795348
0.2149049959
0.2149462456
0.2157675655
0.2158219201
0.2160653539
0.2161295705
0.2162437587
0.2166088272
0.2167040448
0.2170179664
0.2174136655
0.2178921465
0.2180399751
0.2184712099
0.2192426683
0.2196589212
0.2203082899
0.2205567307
0.2210307128
0.2210432302
0.2215994939
0.2216789702
0.2217480735
0.2220276487
0.2222793272
0.2229069419
0.2230973135
0.2233532742
0.2240972953
0.2250057895
0.2250983699
0.2253027369
0.2253092096
0.2256112259
0.2256689852
0.225752445
0.226556197
0.2266676591
0.2267365666
0.2272949462
0.2274283615
0.2277944824
0.2280904285
0.2284431264
0.2285185504
0.2291839944
0.2292944386
0.2294375635
0.2303034482
0.230459768
0.2305165074
0.230541185
0.2305766419
0.2316554845
0.2317216986
0.232070236
0.2326442372
0.2327045074
0.2327214648
0.2333133625
0.2334712929
0.2337599204
0.2342789992
0.2344856903
0.2346033285
0.2348196688
0.2348607855
0.235202603
0.2354897126
0.2356818625
0.236337024
0.2367439926
0.2368396134
0.2384375089
0.2386726536
0.2387887953
0.2389907087
0.2390753322
0.2392766121
0.2395000528
0.2398546241
0.2399007883
0.2399154245
0.2399315305
0.2403652655
0.2404908563
0.2405435618
0.240874982
0.2415043592
0.2416361064
0.241881001
0.2423247365
0.2424793516
0.2425458805
0.2426970278
0.2427578859
0.242888502
0.2430956409
0.2431078925
0.2436612519
0.2437923418
0.2439373833
0.2444208349
0.2446548378
0.2447954643
0.2447991925
0.2449529534
0.2458027847
0.2459170022
0.2461672799
0.2473372878
0.2475214835
0.2476276857
0.2478452203
0.2483845403
0.248396508
0.2485341996
0.2486982925
0.2487195662
0.2488737275
0.2489605536
0.2490582091
0.2493010257
0.2503330077
0.2504130128
0.2504254183
0.2518060737
0.2520201448
0.2522286797
0.2522505779
0.2525120369
0.2525205425
0.2526900073
0.2527071762
0.2535782956
0.2537274262
0.2537746615
0.253960227
0.2540034663
0.2540566239
0.2540822188
0.2548947598
0.2550913194
0.2554225308
0.255453968
0.2557040699
0.2558418307
0.2562310606
0.2563249095
0.2564652254
0.2565680388
0.2566496388
0.2567093982
0.2578368374
0.2582003245
0.2585464547
0.2589488737
0.2591729734
0.2595919364
0.259932298
0.2603332952
0.2606035652
0.2608741205
0.261082304
0.2611510279
0.2614847367
0.2622291656
0.2623540933
0.2624849972
0.2625393605
0.2626327706
0.2627677041
0.2628536866
0.2634997653
0.2640445421
0.2640707664
0.2641656186
0.2643760837
0.2651736755
0.2660117367
0.2660665227
0.2664538526
0.2667818094
0.2667860874
0.2668172977
0.2669279321
0.2669463772
0.2670389745
0.2673481972
0.2673822298
0.2673943357
0.2674058292
0.2686250223
0.2686466817
0.2687077646
0.2687908292
0.2691478448
0.2692644656
0.2692657714
0.2706582246
0.2706925927
0.2711387765
0.271295322
0.2720320669
0.2723462177
0.2723574887
0.2730212244
0.273495813
0.2737121803
0.274739656
0.2752222891
0.2752777619
0.2753403328
0.2755701237
0.2761354047
0.2762093516
0.2763607381
0.2764118132
0.2764891879
0.2769471178
0.2773342261
0.2781933555
0.2783144166
0.278498207
0.2787041977
0.2788917731
0.2788944406
0.2804305943
0.2808851356
0.2810443419
0.2812678872
0.2813409835
0.2823409965
0.2825389936
0.2830883875
0.2832839626
0.2834416304
0.2835413784
0.2836464719
0.2836506949
0.2837407034
0.2842091039
0.2845167853
0.284625158
0.2846699132
0.284756472
0.2860843023
0.2861089928
0.2864121676
0.2868341029
0.2868554753
0.2869610363
0.2873441451
0.2875650434
0.2878058689
0.2878900195
0.2881248546
0.2884489522
0.289247072
0.2892710834
0.2903923692
0.2910278748
0.2922300285
0.2934038601
0.293880584
0.2944771538
0.2945432943
0.2951590226
0.2955208571
0.2958739701
0.2960603129
0.2972334521
0.2973091261
0.297704255
0.2980760193
0.298512907
0.2986335287
0.2993384132
0.2997951929
0.3005451439
0.3010723776
0.3014182869
0.3015198985
0.3020425899
0.3020560314
0.3026921436
0.3029147239
0.3029818266
0.3036280838
0.3049448021
0.3059369846
0.305953147
0.3070725258
0.3075842462
0.3077179446
0.3079812008
0.3088699566
0.3089260002
0.3094808647
0.3098202141
0.3104256442
0.3104865925
0.3112017061
0.3120493681
0.312075008
0.3123049397
0.3124291748
0.3126008007
0.3130933412
0.3133521868
0.3133758066
0.3145540835
0.3147019533
0.3151082469
0.3152286482
0.3157393492
0.3157761903
0.3159122052
0.3163673875
0.3166658781
0.3168241573
0.317180434
0.3172210076
0.3183993278
0.3190063109
0.3190972904
0.319415525
0.3195145923
0.3200321364
0.3201224003
0.3201693494
0.3209639597
0.3211019335
0.3214624246
0.3227322571
0.3231466284
0.3236716564
0.3237446508
0.3237584947
0.3242382518
0.324238451
0.3245695853
0.3251047939
0.3254849275
0.325645927
0.3260681292
0.3263917314
0.3276127699
0.3290645183
0.3291666931
0.3294988639
0.3301888472
0.3311486776
0.3318682732
0.3320783854
0.3328954461
0.3332696865
0.334202246
0.3342199107
0.3357566608
0.3357990264
0.3365561448
0.337365881
0.3376384614
0.3376638395
0.3390795934
0.3394143468
0.3403056241
0.3404537063
0.3405514105
0.3413162769
0.3414632581
0.3416592407
0.3419643952
0.3420295019
0.3421508129
0.3421906552
0.3422029309
0.3425603534
0.3442812548
0.3448963332
0.3455175483
0.345873422
0.3460047032
0.3466933457
0.3483588041
0.3498034714
0.3498100805
0.3500223425
0.3503373225
0.3507345107
0.3514086319
0.3524448171
0.3526585076
0.3532448215
0.3533237594
0.3542163331
0.3542508924
0.3544484952
0.3552529969
0.3555067693
0.355842022
0.3561376246
0.3561950404
0.3573783717
0.3576151707
0.3576420256
0.3580201424
0.3592691942
0.3599062634
0.3601383722
0.3603731663
0.3619983564
0.3630317476
0.3632347435
0.3649783596
0.3651716517
0.3657649711
0.3659085528
0.3668289467
0.3669277867
0.3672335493
0.367234247
0.3678033447
0.3683651005
0.3692630149
0.3692888987
0.3694866606
0.3698724743
0.3698865209
0.3702434118
0.3708765166
0.3711870673
0.3712766508
0.3716938265
0.3723967501
0.3724995592
0.3729391689
0.3731162157
0.3731279568
0.3738145934
0.3744514033
0.3755547302
0.375808125
0.3760408632
0.3761958473
0.376853111
0.3770730236
0.3771455285
0.3785900109
0.379201317
0.3795521056
0.379614002
0.3797486069
0.3803608168
0.3806536268
0.3807134388
0.3807562729
0.3817582642
0.3820030888
0.3822259765
0.3829374654
0.3833110347
0.3837400218
0.3848782365
0.3854388051
0.3856525841
0.3865103173
0.3877063032
0.3877321445
0.3891760385
0.3896293089
0.3897514045
0.3901457895
0.3907031533
0.390911538
0.3915320306
0.3916979134
0.3918893872
0.3921315743
0.3924011951
0.3926054794
0.393458518
0.3944659893
0.3954059331
0.3954199552
0.3956201759
0.3956344235
0.396059588
0.3966408141
0.3966483386
0.3977106482
0.3980046296
0.3984654842
0.3986082622
0.399057156
0.3994428538
0.3999497581
0.3999766468
0.4001896827
0.4004670639
0.4007347486
0.4009708251
0.4012286968
0.4013704494
0.4016174757
0.4022688644
0.4028701979
0.4032321573
0.4043159389
0.4044447999
0.4045741946
0.4047210556
0.4066417351
0.4087729964
0.4087966913
0.4088918831
0.4089091619
0.4094456009
0.4098902089
0.4103595328
0.4107167303
0.4109288971
0.4116533387
0.4124627803
0.4127217491
0.4127831408
0.4128907539
0.4136201447
0.4137124297
0.4137951164
0.4149541203
0.4152743001
0.4154951103
0.4155831061
0.4159280326
0.4160242018
0.4161763679
0.4166663192
0.416999534
0.4190890445
0.4197307656
0.4198841547
0.4210817036
0.4211704325
0.421619386
0.4218875451
0.4221982951
0.4225112275
0.4229273547
0.4229318557
0.4230767903
0.4232922443
0.4240577337
0.4241397149
0.4257593155
0.4257933366
0.4257971701
0.4260652124
0.4261041084
0.4267734003
0.4275284804
0.4275351356
0.4281467921
0.4284390334
0.4285919767
0.4287750849
0.4294142076
0.4301899265
0.4304105064
0.4310451393
0.4331055459
0.4334983973
0.4339253863
0.4345536412
0.4353294067
0.4356075524
0.4361340355
0.4363217809
0.4364080783
0.4377147779
0.4377360138
0.4391060381
0.4391331065
0.4393226049
0.4393881241
0.4400810534
0.440354828
0.4407572091
0.441273627
0.4414245604
0.4414317921
0.4420794823
0.4421713078
0.4422968478
0.4430350824
0.4432272966
0.4437076642
0.4438145298
0.4438466521
0.4440640889
0.4442679891
0.4442994378
0.4450285857
0.4450678047
0.4450760275
0.4456485771
0.4457000946
0.4459090937
0.4465090874
0.446561884
0.4470224352
0.4477397518
0.4479918916
0.4485492355
0.4487229611
0.4496261417
0.4499947864
0.4501252237
0.4501255855
0.4504153763
0.4513370236
0.4521894131
0.4526122967
0.4533116382
0.4540255326
0.4541909681
0.4545272099
0.4549534768
0.4557869328
0.4560890506
0.45624574
0.4564736503
0.4566003303
0.456703001
0.457157302
0.4584796802
0.4597402475
0.4597868959
0.4600116762
0.4602899943
0.461039166
0.4616512263
0.4632507496
0.4635480213
0.4635714758
0.4645716966
0.4647242368
0.4648250528
0.4654214738
0.4656514483
0.4657248288
0.4657335863
0.4657551157
0.4657672226
0.4660442332
0.4660728606
0.4662572921
0.4665479019
0.4666176015
0.4666500987
0.466766305
0.4670907802
0.468162048
0.4683086044
0.4683997508
0.468531424
0.4685417934
0.4690808442
0.4692261174
0.4702537236
0.4713441823
0.471351027
0.4717914769
0.4734188894
0.4741323559
0.4741803404
0.4749064405
0.4762644333
0.4763408885
0.4770679192
0.477397183
0.4775551904
0.4779704766
0.4780505022
0.4780917782
0.4782751732
0.4785963152
0.4786133501
0.4786598834
0.4794675522
0.4796067163
0.4805168641
0.4805583103
0.4809735061
0.4811970521
0.481723533
0.4827294232
0.4828180996
0.4831283625
0.4831901058
0.4840157893
0.4841562974
0.4845952693
0.4851681964
0.4853686143
0.4864736445
0.4868955099
0.4869684963
0.4873569477
0.4876454096
0.4877770974
0.4885770048
0.4889137658
0.4892605729
0.4897312574
0.4899316475
0.4899406924
0.4900961679
0.4901638744
0.4907238946
0.4917248227
0.4923683724
0.4924523182
0.4928118008
0.4935564386
0.4937663383
0.4940039388
0.4953381052
0.4953671139
0.4954298229
0.4954841607
0.4956087872
0.495665453
0.4961981667
0.4965243942
0.4969004259
0.4976736071
0.4979931347
0.4980854482
0.4981602246
0.4985976835
0.4992271959
0.4995273785
0.4999725184
0.4999982157
0.5002900976
0.5006936762
0.5007790172
0.5013287358
0.5013374669
0.5016039738
0.5016769295
0.5018825959
0.5033331603
0.5036217839
0.5039240108
0.5039371614
0.5042904631
0.5046427802
0.5067102002
0.5075307297
0.5079872845
0.5081039856
0.50917669
0.5093428858
0.5094030821
0.5099234939
0.51020231
0.5104311042
0.5107298281
0.5111408504
0.5121418453
0.5122515139
0.5125517205
0.5125530717
0.5133669914
0.5136382043
0.5138140521
0.5150163037
0.5151422188
0.515301091
0.5157915811
0.5164069776
0.5169516283
0.517463096
0.5175987148
0.5179949541
0.5182205048
0.5182680411
0.5184323496
0.5184402146
0.5192510516
0.520528893
0.5208762232
0.5219089321
0.5219492063
0.5229544975
0.5232268155
0.5235700019
0.5239779473
0.524287777
0.5242936324
0.5244160703
0.5250759051
0.5256219807
0.5256331795
0.5260039028
0.5267595903
0.5269775737
0.528666911
0.5290731641
0.5302595819
0.5304831808
0.5311114269
0.5311121585
0.5318088243
0.5319394503
0.5321405586
0.5326014634
0.5329405484
0.5343351327
0.534444548
0.5348568198
0.534904611
0.5349649004
0.535182466
0.5363476786
0.5371063822
0.5380327741
0.5386520753
0.5386722889
0.538757641
0.5392647213
0.5394481555
0.5397805438
0.5406948941
0.5407201301
0.5407521012
0.5412858689
0.5432004469
0.544468599
0.5449999163
0.5450376429
0.5451109454
0.545143728
0.5461116571
0.5466103343
0.5466372029
0.547327202
0.5476288499
0.5478961502
0.5486816279
0.5486826699
0.5488874629
0.549800708
0.5500786617
0.5501122854
0.5512955918
0.5515829791
0.5519591258
0.5524812702
0.5525068571
0.5526618659
0.5530689599
0.5539784437
0.554298518
0.5543808835
0.5545002491
0.5546144789
0.5552675414
0.555538086
0.5555675288
0.5558294582
0.5558445341
0.5564368805
0.5565748752
0.5569443863
0.5573059691
0.5583275952
0.5598790508
0.5601639664
0.5606838591
0.5613339657
0.5619445401
0.5623396648
0.5624213104
0.5629414757
0.5644547919
0.5649782381
0.566059178
0.5661301312
0.5661342492
0.5664842309
0.5668083421
0.5670495939
0.5670514942
0.567129012
0.5673688898
0.5674199289
0.5675690901
0.5682609919
0.5690445593
0.5694789071
0.5695370634
0.5707127572
0.5713592848
0.5714819538
0.5715124038
0.571755993
0.5725579763
0.5726442433
0.5732258905
0.5733847566
0.5739285914
0.5758092918
0.5758527883
0.5760088411
0.5770834557
0.5778143597
0.5785873306
0.5790414068
0.5791587015
0.5797274371
0.5801120085
0.5804673612
0.5811962401
0.5812487336
0.5818118553
0.5818457351
0.5818783989
0.582556364
0.5827927517
0.5828917624
0.5829806762
0.5830439141
0.583349896
0.5833770545
0.5836957026
0.5837169224
0.5842495829
0.584376746
0.5845824451
0.5847526235
0.5847864329
0.5874226975
0.5874994948
0.5879683301
0.5889246488
0.5890005898
0.5890985528
0.5891943174
0.5895415456
0.5898429561
0.5902949525
0.5908799834
0.5911031923
0.5912246172
0.5913100305
0.5918206259
0.5918986875
0.5923077834
0.5923649762
0.5924259164
0.5924317398
0.592474779
0.5926823672
0.5928111358
0.5931474891
0.5945186893
0.5945451176
0.5945693757
0.5955934033
0.5956640907
0.5957237599
0.596075975
0.5962966296
0.5963315824
0.5971533177
0.5972041022
0.5973406776
0.5998105514
0.6003666755
0.6028446586
0.6033039977
0.6037003852
0.6045879819
0.6047961614
0.6052179063
0.606105191
0.6069075136
0.6069247294
0.6069479107
0.6079873211
0.6081696376
0.6092585514
0.6100566114
0.6109768553
0.6120054298
0.6120677438
0.6132024842
0.613839047
0.6139275483
0.6140724763
0.6152627148
0.6156880337
0.6160063753
0.6165247943
0.6170581733
0.6170625209
0.6173954649
0.6178005672
0.618249592
0.6185094569
0.6188965255
0.6196496546
0.6200783798
0.6206249814
0.6211372944
0.6211423057
0.6233786141
0.6234261737
0.6234369984
0.6240654668
0.6250431125
0.6255904278
0.6258743577
0.6259439211
0.6260610108
0.6262185794
0.6267154602
0.6274959497
0.627835515
0.6278566255
0.6279499066
0.6284140118
0.6290519399
0.6291550575
0.6292062464
0.6296418609
0.6300600597
0.6304264742
0.630631818
0.6309173252
0.6309880742
0.6323316312
0.6325176891
0.6325343158
0.6330090768
0.6337395043
0.6344108063
0.6361221111
0.6367720213
0.6368273428
0.6370603047
0.6373146929
0.6378370049
0.6379083919
0.6380918558
0.6391067571
0.6391385309
0.6393235108
0.6402738027
0.640419867
0.6406543099
0.6410746943
0.641374273
0.6420754431
0.6423398518
0.6425449176
0.6425484172
0.6428456362
0.6440240406
0.6450325389
0.6450969892
0.6466543022
0.6470772244
0.6477723837
0.6478181879
0.6486518697
0.6486719646
0.6489112977
0.6496722176
0.6497732159
0.6502352027
0.6503596744
0.6512190002
0.6512257752
0.6514799175
0.651548509
0.6516815859
0.6531394506
0.6532302057
0.6532939864
0.6533590055
0.6535295685
0.6539167047
0.654373302
0.6546946665
0.6554279746
0.6558231028
0.6565988113
0.6572811888
0.6592737694
0.6602910059
0.6610602153
0.6612173168
0.6616910596
0.6619555174
0.6626867665
0.6635646822
0.6644514499
0.6646811879
0.6660210983
0.6670431326
0.6671723525
0.6673412087
0.6674108352
0.6679779091
0.6690517794
0.6692665956
0.6698801249
0.6702284786
0.6704800131
0.6712781635
0.6715013097
0.6725630207
0.6727375835
0.6732455864
0.6738249791
0.6739308348
0.6748943003
0.6749158055
0.6750267269
0.675103098
0.6751681204
0.6752065653
0.6756631991
0.6758671857
0.676025483
0.6788435801
0.6798761734
0.6799843312
0.6800349513
0.6815403855
0.6815509323
0.6820699041
0.682300989
0.6827743746
0.6832501441
0.6834872905
0.6835393907
0.6842915207
0.685711652
0.6858102647
0.6874185391
0.6876855468
0.6884493232
0.6886345652
0.6889626757
0.6890774381
0.6896803798
0.6898317859
0.6900235247
0.6903922735
0.6909323878
0.6910251443
0.6915997355
0.6918040649
0.6927450137
0.694642143
0.6965625884
0.6967729388
0.6971490017
0.6972335944
0.6984177088
0.6991668721
0.700035332
0.7004968885
0.7012769309
0.7020811605
0.7033998144
0.7034510527
0.7040154362
0.7041923867
0.7042512936
0.7044021185
0.7053053836
0.7067634593
0.7068308313
0.7073125642
0.707426595
0.7079689527
0.7089906263
0.7095317495
0.7101386742
0.7109877698
0.7111585333
0.7119707396
0.7121140605
0.7130647441
0.7136704006
0.7139788785
0.7148510877
0.7153567339
0.7154879974
0.7160681551
0.7165462761
0.7172369861
0.7176334036
0.7182958522
0.7186492524
0.7188996291
0.7194134523
0.7201985805
0.7205222067
0.7222638213
0.7224744208
0.723001696
0.7231309312
0.7232697081
0.7233876963
0.7241319504
0.7244836834
0.7244872976
0.7252619803
0.7258789412
0.7260488433
0.7269095377
0.7279859994
0.7281548882
0.7293730135
0.7294370931
0.7295747828
0.7312081516
0.7314010212
0.7315322648
0.7334423453
0.7334594267
0.7348071811
0.7351428824
0.7371286269
0.7387763888
0.7391793861
0.7403656062
0.7421499788
0.7425791919
0.7430604539
0.743211604
0.743598591
0.7444345383
0.7448320594
0.7456678512
0.7458123468
0.7461570286
0.7462663167
0.7463390489
0.7463613307
0.7464920691
0.7491077443
0.7496183904
0.750192142
0.7504848962
0.7506273223
0.7507610571
0.7507936023
0.7517489781
0.7524310587
0.7528774782
0.753367178
0.7536516649
0.7547653079
0.7551291822
0.7556387664
0.7565104047
0.7580241408
0.7580305377
0.758261147
0.7583429817
0.7589119797
0.7593278008
0.7602939984
0.7607834954
0.7616012362
0.7626527784
0.7628848588
0.7643060749
0.7644057055
0.7645973533
0.7652935223
0.7654675812
0.765902511
0.7673431226
0.7675329921
0.7675805557
0.7686248395
0.7687710458
0.7692413407
0.7692934843
0.7699177402
0.7704361595
0.7706086901
0.7714508457
0.7720509222
0.7722722829
0.7745379477
0.7750911586
0.7758306287
0.7762631677
0.7764747347
0.7765219572
0.7766320083
0.7766761852
0.7779352387
0.7781909344
0.7792715896
0.7798718572
0.7802582077
0.7808526023
0.7833500793
0.7833621421
0.7843283959
0.7853048751
0.7854471216
0.787132011
0.7875290647
0.787851923
0.7887732169
0.7888740769
0.789988455
0.7919813155
0.7926544839
0.7948102145
0.7948391455
0.7957307579
0.7968236793
0.7969020157
0.797925629
0.799852641
0.799858171
0.8008790644
0.8011554584
0.8017028396
0.8026029047
0.8035828034
0.8056210072
0.8076003138
0.8086593107
0.8091335744
0.8096135828
0.8096668591
0.8097696055
0.8102811096
0.8106959491
0.8142557826
0.8148141275
0.8166154272
0.8175534488
0.8178481705
0.8180751979
0.8181096672
0.8200968304
0.8209403786
0.8225324614
0.8229427671
0.8235582193
0.8239126433
0.8246798179
0.8251100317
0.8276621201
0.8290759016
0.829184142
0.8293004558
0.8302883032
0.8310721093
0.8316336278
0.8330749669
0.8348337607
0.8355773726
0.8367452791
0.8372388808
0.8375765795
0.8377961852
0.8379733998
0.8388780935
0.8390713172
0.839133495
0.8393568699
0.8398385685
0.8402776087
0.8403603463
0.8404067688
0.8416439667
0.8419742007
0.8421121059
0.8422384083
0.8423396907
0.8426315959
0.8447172208
0.8460353611
0.8461864586
0.8479814637
0.8481073484
0.8486088949
0.8488555658
0.849065844
0.8491885769
0.8498209643
0.8498840904
0.8503561766
0.8504680313
0.8504866535
0.8505647959
0.8513669744
0.8517720228
0.8520778634
0.8535103991
0.8553841196
0.8555570653
0.8556560752
0.85713393
0.858014418
0.8587357871
0.8589402556
0.8594659822
0.8594778998
0.8597085921
0.8599104706
0.8610352187
0.8627528949
0.8635245984
0.8649311795
0.8651508137
0.865442937
0.8655750192
0.8660952452
0.8664943802
0.8676936336
0.868149152
0.8686758744
0.868862818
0.8689588285
0.8704656607
0.8712965749
0.8716995078
0.8740198942
0.8740534377
0.8753445536
0.8758536345
0.8768658186
0.8774337203
0.877829598
0.8783156404
0.8800427894
0.8813148619
0.8814964486
0.8816027356
0.8820833374
0.8825092705
0.8827200317
0.883335825
0.8835801922
0.8860248666
0.8866614275
0.8878673968
0.8880826283
0.8910960972
0.8923480909
0.8928062776
0.8935289972
0.8947386304
0.8947906525
0.8954761878
0.8961351311
0.8987855135
0.899591287
0.9003199665
0.9015548773
0.9016297911
0.9033250542
0.9045151231
0.9046330258
0.9047479067
0.90504732
0.9050698203
0.9062234897
0.9064044363
0.9070481603
0.9076817067
0.9079673424
0.908500524
0.9088904217
0.9089857488
0.9092683424
0.9117164851
0.9124527398
0.9124854311
0.9127457279
0.914684715
0.9161817046
0.9170141794
0.9171818387
0.9172170954
0.9172519459
0.9174159858
0.9178795204
0.9191463931
0.9194535707
0.9195301804
0.9209793013
0.9219392043
0.9238719625
0.9239661241
0.9240291024
0.9251693174
0.9260000231
0.9267525462
0.9267883177
0.9273275074
0.9327776379
0.9328411406
0.9337173235
0.934601367
0.9355239428
0.935996995
0.9377518598
0.9407069248
0.9408755921
0.9412269181
0.9427671991
0.9428161751
0.9428320686
0.9431340068
0.9432499812
0.9433318992
0.9445997879
0.9449793911
0.94555785
0.9469015004
0.9469220094
0.9486864937
0.9495279872
0.9496823541
0.9510576192
0.9524422256
0.9564352998
0.9564423113
0.9598905827
0.9599134828
0.9601868733
0.9603256092
0.9605899171
0.9606822639
0.9623479942
0.963426842
0.964418771
0.9645914351
0.9681793138
0.9687615099
0.9690481542
0.9699999259
0.9723439907
0.9726841867
0.97489389
0.9758975621
0.9767175995
0.9771624274
0.9791264965
0.9813639141
0.9818168385
0.9833721835
0.9838244631
0.9847839699
0.98504538
0.9870758083
0.9872734819
0.9884289519
0.9887376417
0.9906678798
0.9916199553
0.9917990927
0.9943583639
0.9947541085
0.9960617351
0.9963340381
0.9995856587
0.9999719463
1.0002985074
1.0025907824
1.0026283093
1.0027516524
1.0034718499
1.0036310349
1.0036966446
1.0038800786
1.0043263267
1.0067342119
1.0072518369
1.0084768444
1.0093450742
1.0095784217
1.0119684782
1.0125350784
1.0125667104
1.0130802009
1.0135347882
1.0136429103
1.0137468877
1.0164575799
1.0177757142
1.0182352511
1.0190502826
1.0203929664
1.0215392922
1.0226237026
1.0230092925
1.0237741947
1.0237844478
1.0259178699
1.0261610822
1.0280324176
1.0287023689
1.0287583893
1.0295202948
1.030367753
1.031450061
1.0317422598
1.0320446511
1.0331985174
1.0345811084
1.0348338159
1.0351061004
1.0353601661
1.0365836698
1.0366047838
1.037300442
1.0373797508
1.0375960264
1.038873655
1.0395042983
1.040657882
1.0414901907
1.0415797263
1.0420194918
1.0427552602
1.0427958596
1.0457717631
1.0470635813
1.0487101991
1.0488885863
1.0493515487
1.0504249906
1.0504730002
1.0534718586
1.0537372569
1.0539739665
1.054431186
1.0545625123
1.0551226968
1.0567888393
1.0576909548
1.0578082047
1.0602442068
1.06043883
1.0605942899
1.0606017458
1.0616664545
1.0625255605
1.0637293609
1.0645193532
1.0654126496
1.0662422889
1.0667483741
1.0668701629
1.0686239432
1.0698171665
1.0710273958
1.0718592198
1.07240669
1.0747260144
1.0756193159
1.0757944242
1.075835559
1.0760546007
1.0763151065
1.0764367927
1.0766123633
1.0779601164
1.0784621021
1.0799670699
1.0807629929
1.0826496544
1.0827509015
1.0853438473
1.0863242591
1.0868758885
1.0871539754
1.0881030672
1.0885901533
1.0888550826
1.0900286829
1.0910220558
1.0921067252
1.0931794472
1.0935918039
1.0957799056
1.09609422
1.097037321
1.097382483
1.0975128146
1.0989488568
1.0996341697
1.1002811937
1.1003012389
1.1027992159
1.1030188633
1.1043553994
1.1045446385
1.1061186767
1.1080242668
1.1092709344
1.1095822579
1.1130068899
1.1144303177
1.1168713355
1.1169396375
1.1169402893
1.1181059585
1.1182796681
1.1191028465
1.1193445299
1.119797594
1.1216771999
1.1222986137
1.1226630799
1.123087429
1.1232964252
1.1238443812
1.1252827748
1.1258991271
1.1266608417
1.1275815515
1.1302263115
1.1304432638
1.1309262221
1.1310377929
1.1319782381
1.1324168246
1.133678757
1.1345771543
1.1352597764
1.1362013487
1.1364251573
1.1368658992
1.137557607
1.138185092
1.1383204523
1.1383563235
1.1385352164
1.1386020912
1.1391680452
1.1401196496
1.1402439397
1.1414522829
1.1427443953
1.1450488912
1.145790249
1.1463225768
1.1476898185
1.1486899935
1.149217409
1.1492372303
1.1492563361
1.1495441921
1.149646248
1.1505250462
1.1536854506
1.1540704503
1.1552844147
1.1560583634
1.1565071368
1.158112414
1.1588321203
1.1600968333
1.1606769878
1.1613577482
1.1618957556
1.1634028181
1.1640416061
1.1640447632
1.1640924381
1.1663492102
1.1667644161
1.1667680827
1.167223882
1.1675334707
1.17028006
1.1711808049
1.1729189179
1.1746871997
1.1754877912
1.1758050107
1.1770898476
1.1785118803
1.1785383454
1.1796110338
1.1807764209
1.1812770907
1.1813477936
1.1815985208
1.1819186791
1.1823615275
1.1852346621
1.1873768144
1.1874106102
1.1879340411
1.1883090239
1.1886912773
1.1894581311
1.1897472053
1.1919200725
1.1947431752
1.1954289227
1.1964802683
1.1973169071
1.1987915781
1.2011687795
1.2013346864
1.2013604539
1.2024921906
1.2028753493
1.2046372379
1.2050133882
1.2052270354
1.2057679487
1.2064136691
1.2067793061
1.2069859601
1.2073663456
1.2074535528
1.2079616859
1.2090969458
1.2097834943
1.211150507
1.2113258705
1.2117992586
1.2124354788
1.2147505882
1.2157359138
1.2159537895
1.2159566224
1.2165340727
1.2176919898
1.2192511021
1.2200662974
1.2208241629
1.2236254309
1.2266102122
1.2270253634
1.2283925006
1.2286231156
1.2289842819
1.2293625184
1.2303191233
1.2305546184
1.2314553542
1.2328464598
1.2329575737
1.2333462965
1.2337945815
1.2356697817
1.236710141
1.2379225509
1.2387124038
1.2391884333
1.2401819698
1.240638327
1.242527761
1.2433976921
1.2446323333
1.2449754423
1.2452671903
1.2454015719
1.245641212
1.246062956
1.2462651179
1.2483547472
1.2488625678
1.2509679147
1.2511677962
1.2516649842
1.2521145361
1.2525716092
1.2529523262
1.2534072164
1.2550267436
1.2569448037
1.257360646
1.2574514314
1.2585679094
1.2589680803
1.2593718931
1.261138108
1.26287969
1.2629503851
1.2633184392
1.265581533
1.2660172219
1.2663103765
1.2668290396
1.2706519486
1.2709304956
1.2715448956
1.2717219817
1.2719085665
1.2725445405
1.27324056
1.2749168946
1.2753850715
1.2759968441
1.2770906299
1.2797276697
1.2803014524
1.2807162783
1.2808862611
1.2811151572
1.2814453333
1.2820782417
1.2828112596
1.2829096381
1.2829528424
1.2835017223
1.2837736324
1.2840916658
1.285850059
1.2859643361
1.2860571467
1.2862050783
1.2864793514
1.2868893069
1.2869803461
1.2874278191
1.2875015483
1.2889381149
1.2895417881
1.2904533899
1.2907398484
1.2907793506
1.2911984845
1.2913207915
1.2918821123
1.2926470636
1.2928440042
1.2944315496
1.2951722526
1.2955124092
1.2982204501
1.2987286377
1.2991563196
1.3005491358
1.3007136556
1.3022851831
1.3033458988
1.3063980826
1.3066409155
1.3074981627
1.308011322
1.3084278107
1.3085958816
1.3095165596
1.309808881
1.3100920327
1.3103957939
1.3104116657
1.3113482761
1.3117235462
1.3120784656
1.3121405672
1.3124536174
1.312602305
1.3158098631
1.3159996786
1.3161267226
1.3165128829
1.3167569273
1.3171964242
1.3175192304
1.3194641816
1.3196749884
1.3203434987
1.3205771501
1.3212181589
1.3217591026
1.3223583733
1.3229934189
1.3230925953
1.3243124895
1.3244683359
1.3244767067
1.3245302555
1.3259314558
1.3263648594
1.3290084825
1.3310746436
1.3326313727
1.3326646079
1.3335122836
1.3344284105
1.3352712865
1.3355657447
1.3372016379
1.3372407624
1.33748898
1.3405486918
1.3414523033
1.3419109419
1.341934694
1.3421161276
1.3423604499
1.3425927634
1.3426508453
1.3441958804
1.3447452631
1.3454579768
1.3456399531
1.3465434718
1.3467916081
1.3473840701
1.347593108
1.3476252214
1.3476793429
1.3479424909
1.3484692858
1.3487700834
1.348992963
1.3491536961
1.3505144999
1.3509021072
1.351376882
1.3527951515
1.3537901269
1.3556000524
1.3566842868
1.3568500858
1.3568835306
1.3579732459
1.3588575872
1.360016003
1.3605070301
1.3606432439
1.3623305065
1.3628075117
1.3642365565
1.3645236369
1.3647826198
1.3653392603
1.3665580869
1.3672032592
1.3690192227
1.3690992593
1.369959579
1.3704534062
1.371690265
1.3727258019
1.3745357989
1.3762099011
1.3766357184
1.3768211316
1.3776545215
1.3780569495
1.3785506303
1.3797333454
1.380395231
1.3810914307
1.3824596533
1.3837811875
1.3857856257
1.3859964498
1.3862290584
1.3866950076
1.3868354966
1.3871935114
1.3878359554
1.3883984644
1.3888306857
1.390917607
1.3921882386
1.3930867689
1.3952505065
1.3967277279
1.3972058495
1.3998902177
1.4008419027
1.4013614101
1.4018078474
1.402076313
1.4028171345
1.403818529
1.4040046588
1.404392291
1.4064836515
1.4069250362
1.4072496604
1.4082978164
1.4083950381
1.4089340953
1.4093282713
1.4094650646
1.4095968487
1.4103684225
1.4109758229
1.4111667351
1.4122328933
1.4131545476
1.4142809659
1.4157217283
1.4169766405
1.417358283
1.4176341812
1.4182303947
1.4186576441
1.4207861651
1.4218858348
1.42320003
1.4236172084
1.4251248684
1.425549584
1.4267236793
1.4267494599
1.4269361315
1.4270123219
1.4272841212
1.4276298945
1.4276635773
1.4281829945
1.4304445582
1.4314009532
1.4327449592
1.4345542756
1.436247804
1.4371666895
1.4375952024
1.4382791641
1.4383498186
1.4386943176
1.4397477675
1.4407383165
1.442700951
1.443462981
1.443476345
1.443531523
1.4435806389
1.4436777676
1.4442593589
1.4448769264
1.4449550543
1.4468910435
1.4472266164
1.4494549833
1.4503829319
1.451300503
1.4524509983
1.4537415965
1.454184016
1.455160484
1.4554837995
1.4573629437
1.4578436245
1.4583401013
1.4613034123
1.461578586
1.4633581825
1.4641743504
1.4642263585
1.4643183293
1.4654958398
1.4663573481
1.4669793733
1.4685176958
1.4686151843
1.4689353733
1.4690545144
1.4691193475
1.4695521755
1.4697576897
1.4699333667
1.4704612223
1.4704652655
1.4711879607
1.4716167967
1.4732746705
1.4742543438
1.4766316756
1.4767222948
1.4783260288
1.4783982475
1.4794292591
1.4808688578
1.4811016533
1.4838695419
1.486525644
1.4874589273
1.487721685
1.4882561003
1.4901339149
1.493826892
1.4940743749
1.4950053624
1.4952487995
1.4973784746
1.4976180578
1.4980583799
1.4984700907
1.4986496685
1.498917326
1.4991875661
1.4994125041
1.5001535472
1.5008792595
1.5017052052
1.5019107833
1.5019509329
1.5019626645
1.5029192082
1.5030163431
1.5039590335
1.5042816862
1.50684117
1.5068724939
1.5078318014
1.5081950843
1.5085483415
1.5110821388
1.5117624035
1.5127076864
1.5133003828
1.513429759
1.5145872142
1.5148688584
1.5157952133
1.5170320592
1.5177252131
1.5186587081
1.5211523286
1.5211942958
1.5247071138
1.5271667432
1.5288269835
1.5290881477
1.5317105647
1.5322674449
1.5331573107
1.5340874505
1.5353552938
1.5372599823
1.5395741643
1.539735984
1.5398643108
1.5403554467
1.5406323775
1.5407186616
1.5411889829
1.5416272403
1.5422629585
1.5425153153
1.5432989928
1.5438649187
1.5440201776
1.5445422052
1.5468710666
1.5506415062
1.5509502219
1.5509964579
1.5517331718
1.5519950518
1.5521231775
1.5546384081
1.5555911104
1.5561153458
1.5566267451
1.5567082609
1.5567718487
1.5567803071
1.5578556758
1.5581583633
1.5588662124
1.559336182
1.5600042216
1.5611932428
1.5625412191
1.5637584037
1.5640057013
1.5640629463
1.5640787521
1.5642355252
1.5644343312
1.5653112148
1.5660660239
1.5674087264
1.5688008216
1.5690084443
1.5713124744
1.5717817736
1.5722887813
1.5723098944
1.5723269815
1.5726468241
1.573700735
1.5751895058
1.5759523198
1.5763368956
1.5765695744
1.5772930054
1.5778116704
1.5789602947
1.5793263126
1.5796427989
1.5803835908
1.5811603474
1.5816223382
1.5820369708
1.5831255197
1.5834725816
1.5842217797
1.5865188091
1.5866853326
1.5876230164
1.587903218
1.5892517243
1.5893591463
1.5900161446
1.5903257912
1.5904953508
1.5920055892
1.5923942871
1.5932169928
1.5934569146
1.5935204959
1.5945704044
1.5956365821
1.5958801754
1.5960948154
1.5976346857
1.5976416662
1.5978199058
1.5981494342
1.5982969222
1.5987679594
1.5997202959
1.599883973
1.6003718823
1.602234682
1.6024722964
1.6024958013
1.6039193578
1.6048525506
1.6050344534
1.6070715082
1.6095695727
1.6109412233
1.6113528861
1.6115587173
1.6119130952
1.6128944534
1.61338767
1.6135930417
1.6137458821
1.6151944801
1.6154129339
1.6154983665
1.6164011747
1.6165994828
1.6170155505
1.6175343488
1.6187212655
1.6188433469
1.6193050223
1.6218857041
1.6238446156
1.6261915985
1.6268729411
1.6272974351
1.6274751477
1.6274922082
1.6279632768
1.6286229485
1.6296940488
1.6305699525
1.6321219029
1.633392851
1.6334378083
1.6345242205
1.634999754
1.6350964659
1.6353337193
1.635367878
1.636259525
1.6365735692
1.6385939095
1.6391641301
1.6399494195
1.6401497672
1.6416764216
1.6424605485
1.6434163071
1.6443866705
1.6444696594
1.6449705089
1.6454403932
1.6455154195
1.6459996609
1.6461141766
1.6463486427
1.6463826912
1.6491499398
1.6497383603
1.6501567768
1.6501934346
1.6505043802
1.6519083171
1.652663482
1.6536778868
1.6537495653
1.6546704286
1.6548479652
1.6570766979
1.6584976808
1.6591826716
1.6595431131
1.6601295064
1.6604142556
1.6605272453
1.6605766874
1.6615399345
1.6620460721
1.6640065027
1.6644104266
1.6648100069
1.6652684018
1.6653884111
1.6662644139
1.6680157436
1.6684142009
1.6702214926
1.6702461756
1.6703035146
1.6709322519
1.6720021245
1.6721476815
1.6729303121
1.6735184306
1.6741354615
1.674479096
1.6745282871
1.6793582055
1.6803475012
1.6811041749
1.6820355009
1.6820677435
1.6829592086
1.6855229261
1.6857736918
1.687857442
1.6886343835
1.6889584403
1.6897333697
1.6899839366
1.6925581671
1.6928316687
1.6932512334
1.6933291789
1.6934640268
1.6947721358
1.6948820137
1.6952886514
1.696350781
1.6966814849
1.6970930271
1.6971122638
1.6975234147
1.6984128299
1.6995284932
1.700280485
1.7012802321
1.7013386765
1.7028100326
1.7029581402
1.7044988416
1.7056806519
1.7066244562
1.706842636
1.7074581587
1.7079014194
1.7079800287
1.7083443408
1.7083694396
1.7091882886
1.7093964034
1.710311533
1.7105480998
1.7105512921
1.7111021613
1.711475609
1.713452813
1.7147280545
1.7148660878
1.7150761928
1.7172386902
1.7181018817
1.7198884894
1.7199703784
1.7213134071
1.7216279072
1.7224757665
1.7237535488
1.7241711669
1.7246577267
1.7276255702
1.727751597
1.7279932721
1.7280061712
1.7285099434
1.7292454904
1.7292583263
1.7320759103
1.7321582863
1.7327306525
1.7330038193
1.7335699631
1.7336817102
1.7339844846
1.7347374875
1.7352040035
1.7362565173
1.7372305837
1.7382766504
1.7401005032
1.7428665151
1.7434011705
1.7434841881
1.7439204416
1.745782909
1.746576219
1.7467188785
1.7473900751
1.748536446
1.7495005913
1.7495493654
1.7495596392
1.7496562642
1.7497735326
1.7501412037
1.7506384373
1.7509945158
1.753299643
1.7535420928
1.7541934528
1.7552479337
1.75560412
1.7561206946
1.7569423175
1.7578632081
1.7581214496
1.758999575
1.7593525364
1.7596219768
1.7596344671
1.7596432623
1.7597148392
1.7604095404
1.7611349092
1.7623751443
1.7624960291
1.7648671044
1.7651418286
1.7652748868
1.7653965918
1.7656827775
1.7662986837
1.7665856116
1.7679024205
1.7680481542
1.7682089638
1.7686656142
1.7692931369
1.7694216847
1.7701952477
1.7707529909
1.7752705664
1.7753780341
1.7763208694
1.7771445604
1.7786278762
1.7786361682
1.7789268663
1.7794836988
1.7811238844
1.781868174
1.7824705459
1.7828604855
1.7833524598
1.7836632041
1.7838523759
1.7840102975
1.784038727
1.7842161105
1.7843009607
1.784708008
1.7852775313
1.7861558596
1.7867938042
1.7869381628
1.7881011463
1.789615965
1.7916845349
1.7927568191
1.7927752225
1.7933060141
1.7935077117
1.7940885171
1.7956708141
1.7976095788
1.7978033159
1.7984862204
1.7995426221
1.8020888926
1.8024348769
1.8026849849
1.803224722
1.8053387688
1.8055601761
1.806707721
1.8086151121
1.8103195001
1.8104648335
1.811244994
1.8113266927
1.8115108846
1.8129317582
1.8137521247
1.8138297178
1.8138460626
1.8141671752
1.8143302852
1.8144478377
1.8154618378
1.8158838037
1.817871563
1.8182866342
1.8188544328
1.8206130526
1.8215335996
1.822674845
1.8231950728
1.8235532103
1.8240184027
1.8243953157
1.8245264698
1.8246172509
1.8246817891
1.8252612797
1.8259510043
1.8262731845
1.8264083037
1.8264874131
1.8266856704
1.8272942637
1.8285688439
1.8286632184
1.8302324846
1.8309156534
1.831121143
1.8312388125
1.8325296314
1.8334342525
1.8351927164
1.8358404616
1.8358517058
1.8360523448
1.836551501
1.8375451753
1.8376030445
1.8407578146
1.8411547615
1.8421599702
1.8428225815
1.8440227645
1.8450289014
1.8455255061
1.8479179259
1.8479794022
1.8480528054
1.848188751
1.8503170904
1.8512944106
1.8520595823
1.8527760513
1.8544067123
1.8568107535
1.8571200992
1.8573123635
1.8581691986
1.8581957518
1.8591239358
1.8594114847
1.8639872426
1.8650952312
1.8658153746
1.8661761935
1.8670197684
1.8677542857
1.8685937575
1.8697320735
1.8725489686
1.8731541896
1.8731630542
1.8731944067
1.873331661
1.8749100862
1.8750288985
1.8755716853
1.8761192631
1.8769287783
1.8780076991
1.8780807282
1.8781340655
1.8800916949
1.8804647748
1.8806063917
1.8807297617
1.8814455954
1.882308162
1.8858188352
1.886284954
1.8862994627
1.8869263823
1.8880798339
1.8886753834
1.8891993605
1.8892782773
1.8907900167
1.8910549573
1.8917091562
1.8924593978
1.8932359534
1.8944056488
1.8949117481
1.8950450728
1.895690146
1.8962667307
1.8970196258
1.8970916695
1.898876771
1.89979739
1.8999408772
1.9010049067
1.9030915061
1.9032362278
1.9038156894
1.9040000446
1.9045345035
1.905294827
1.9084220037
1.9092437112
1.909834651
1.9101918087
1.9135236161
1.9143259237
1.9144433046
1.9150289425
1.9150445