Upgraded LUT resolutions to 4096 for 1D LUTs and 65 for 3D LUTs
[OpenColorIO-Configs.git] / aces_1.0.1 / luts / Log2_4000_nits_Shaper_to_linear.spi1d
index f5bdecd..7754af8 100644 (file)
 Version 1
 From 0.000000 1.000000
-Length 1024
+Length 4096
 Components 1
 {
          4.39453142462e-05
-         4.46657759312e-05
-         4.53980464954e-05
-         4.61423223896e-05
-         4.68988000648e-05
-         4.76676759718e-05
-         4.84491611132e-05
-         4.92434592161e-05
-         5.00507776451e-05
-         5.0871327403e-05
-         5.17053376825e-05
-         5.25530158484e-05
-         5.34145983693e-05
-         5.42902962479e-05
-         5.51803532289e-05
-         5.60850094189e-05
-         5.70044867345e-05
-         5.79390471103e-05
-         5.88889233768e-05
-         5.98543774686e-05
-         6.08356567682e-05
-         6.18330159341e-05
-         6.28467387287e-05
-         6.38771161903e-05
-         6.49243520456e-05
-         6.59887446091e-05
-         6.70705921948e-05
-         6.81701785652e-05
-         6.92877874826e-05
-         7.04237245372e-05
-         7.15782807674e-05
-         7.27517690393e-05
-         7.39444949431e-05
-         7.51567713451e-05
-         7.63889256632e-05
-         7.76412780397e-05
-         7.89141631685e-05
-         8.02079157438e-05
-         8.15228777356e-05
-         8.28593983897e-05
-         8.42178342282e-05
-         8.55985417729e-05
-         8.70018775458e-05
-         8.84282344487e-05
-         8.98779544514e-05
-         9.13514522836e-05
-         9.2849113571e-05
-         9.43713312154e-05
-         9.59184908425e-05
-         9.74910217337e-05
-         9.90893313428e-05
-         0.000100713841675
-         0.000102364989289
-         0.000104043203464
-         0.000105748935312
-         0.00010748263594
-         0.000109244756459
-         0.000111035755253
-         0.000112856127089
-         0.000114706337627
-         0.000116586881632
-         0.000118498261145
-         0.000120441050967
-         0.000122415614896
-         0.000124422542285
-         0.000126462386106
-         0.000128535670228
-         0.000130642933073
-         0.000132784756715
-         0.00013496169413
-         0.00013717431284
-         0.000139423209475
-         0.000141708980664
-         0.000144032208482
-         0.000146393533214
-         0.000148793580593
-         0.000151232961798
-         0.000153712346219
-         0.000156232374138
-         0.000158793714945
-         0.00016139705258
-         0.000164043056429
-         0.00016673245409
-         0.000169465944055
-         0.000172244239366
-         0.000175068096723
-         0.000177938229172
-         0.000180855437065
-         0.000183820448001
-         0.000186834091437
-         0.000189897138625
-         0.000193010389921
-         0.000196174674784
-         0.000199390851776
-         0.000202659764909
-         0.000205982258194
-         0.000209359219298
-         0.000212791550439
-         0.000216280139284
-         0.000219825931708
-         0.000223429859034
-         0.000227092867135
-         0.000230815916439
-         0.000234600025578
-         0.000238446154981
-         0.000242355337832
-         0.000246328650974
-         0.00025036704028
-         0.000254471669905
-         0.000258643616689
-         0.000262883899268
-         0.000267193740001
-         0.000271574244834
-         0.000276026548818
-         0.000280551845208
-         0.000285151327262
-         0.000289826421067
-         0.000294577970635
-         0.000299407402053
-         0.000304316024994
-         0.000309305120027
-         0.000314375996822
-         0.000319530023262
-         0.000324768509017
-         0.000330092938384
-         0.000335504621034
-         0.00034100501216
-         0.000346595596056
-         0.000352277857019
-         0.000358053250238
-         0.000363923347322
-         0.00036988966167
-         0.000375953823095
-         0.000382117374102
-         0.000388381944504
-         0.000394749251427
-         0.000401221186621
-         0.00040779900155
-         0.000414484617068
-         0.000421279866714
-         0.000428186525824
-         0.000435206398834
-         0.000442341377493
-         0.000449593324447
-         0.000456964160549
-         0.00046445580665
-         0.00047207030002
-         0.000479809619719
-         0.000487675832119
-         0.000495671003591
-         0.000503797258716
-         0.000512056751177
-         0.000520451634657
-         0.000528984179255
-         0.000537656538654
-         0.000546471099369
-         0.000555430189706
-         0.000564536137972
-         0.000573791447096
-         0.000583198445383
-         0.000592759635765
-         0.000602477579378
-         0.000612354895566
-         0.000622394087259
-         0.000632597890217
-         0.000642968981992
-         0.000653510040138
-         0.000664224033244
-         0.000675113580655
-         0.00068618170917
-         0.000697431270964
-         0.000708865292836
-         0.000720486743376
-         0.000732298649382
-         0.000744304328691
-         0.000756506749894
-         0.000768909289036
-         0.000781515089329
-         0.000794327585027
-         0.000807350152172
-         0.000820586283226
-         0.000834039296024
-         0.000847712857649
-         0.000861610635184
-         0.00087573658675
-         0.000890093797352
-         0.000904686341528
-         0.000919518177398
-         0.000934593204875
-         0.000949915323872
-         0.000965488667134
-         0.000981317250989
-         0.00099740549922
-         0.00101375731174
-         0.00103037734516
-         0.00104726979043
-         0.00106443918776
-         0.00108189007733
-         0.00109962699935
-         0.00111765484326
-         0.0011359784985
-         0.00115460227244
-         0.00117353128735
-         0.00119277066551
-         0.0012123255292
-         0.00123220088426
-         0.00125240220223
-         0.00127293448895
-         0.00129380368162
-         0.00131501478609
-         0.00133657373954
-         0.0013584861299
-         0.00138075777795
-         0.00140339450445
-         0.00142640236299
-         0.0014497875236
-         0.00147355592344
-         0.00149771408178
-         0.00152226816863
-         0.00154722493608
-         0.00157259078696
-         0.00159837247338
-         0.00162457698025
-         0.00165121105965
-         0.00167828169651
-         0.00170579610858
-         0.00173376174644
-         0.00176218571141
-         0.00179107580334
-         0.00182043947279
-         0.00185028463602
-         0.00188061897643
-         0.00191145134158
-         0.00194278848357
-         0.00197463924997
-         0.00200701248832
-         0.00203991634771
-         0.00207335967571
-         0.00210735108703
-         0.00214190012775
-         0.0021770154126
-         0.0022127062548
-         0.00224898243323
-         0.00228585326113
-         0.00232332828455
-         0.00236141798086
-         0.0024001323618
-         0.00243948120624
-         0.00247947592288
-         0.0025201253593
-         0.00256144138984
-         0.00260343472473
-         0.00264611653984
-         0.00268949824385
-         0.00273359124549
-         0.00277840695344
-         0.00282395724207
-         0.00287025445141
-         0.00291731068864
-         0.0029651382938
-         0.0030137503054
-         0.00306315883063
-         0.0031133776065
-         0.00316441967152
-         0.00321629876271
-         0.00326902791858
-         0.00332262180746
-         0.00337709439918
-         0.00343245989643
-         0.00348873320036
-         0.00354592897929
-         0.00360406260006
-         0.00366315175779
-         0.00372320692986
-         0.00378424674273
-         0.00384628749453
-         0.00390934525058
-         0.00397343654186
-         0.00403857883066
-         0.00410478934646
-         0.00417208485305
-         0.0042404839769
-         0.00431000441313
-         0.00438066432253
-         0.00445248279721
-         0.00452547892928
-         0.0045996713452
-         0.00467508053407
-         0.00475172605366
-         0.00482962746173
-         0.00490880664438
-         0.0049892840907
-         0.00507108028978
-         0.00515421805903
-         0.00523871835321
-         0.00532460445538
-         0.00541189825162
-         0.00550062349066
-         0.0055908029899
-         0.00568246096373
-         0.00577562162653
-         0.00587030965835
-         0.0059665502049
-         0.00606436887756
-         0.00616379221901
-         0.00626484444365
-         0.00636755302548
-         0.00647194543853
-         0.00657804962248
-         0.00668589305133
-         0.00679550413042
-         0.00690691312775
-         0.00702014798298
-         0.00713523942977
-         0.00725221727043
-         0.0073711136356
-         0.00749195879325
-         0.00761478487402
-         0.00773962587118
-         0.00786651205271
-         0.0079954797402
-         0.00812656059861
-         0.00825979094952
-         0.0083952061832
-         0.00853284075856
-         0.0086727309972
-         0.00881491601467
-         0.00895943213254
-         0.00910631660372
-         0.00925560947508
-         0.00940734986216
-         0.00956157874316
-         0.00971833523363
-         0.00987766124308
-         0.0100396005437
-         0.0102041941136
-         0.0103714894503
-         0.0105415247381
-         0.010714346543
-         0.0108900023624
-         0.0110685378313
+         4.4124215492e-05
+         4.43038152298e-05
+         4.44841753051e-05
+         4.46652411483e-05
+         4.48470746051e-05
+         4.50296174677e-05
+         4.52129315818e-05
+         4.53969660157e-05
+         4.55817753391e-05
+         4.57673049823e-05
+         4.59536240669e-05
+         4.61406707473e-05
+         4.6328510507e-05
+         4.65170815005e-05
+         4.67064564873e-05
+         4.68965663458e-05
+         4.70874801977e-05
+         4.72791434731e-05
+         4.74716107419e-05
+         4.76648419863e-05
+         4.78588808619e-05
+         4.80536837131e-05
+         4.82493123855e-05
+         4.84457013954e-05
+         4.86429271405e-05
+         4.88409168611e-05
+         4.90397469548e-05
+         4.9239355576e-05
+         4.94398082083e-05
+         4.9641046644e-05
+         4.98431363667e-05
+         5.00460155308e-05
+         5.0249745982e-05
+         5.04542804265e-05
+         5.06596807099e-05
+         5.08658849867e-05
+         5.10729587404e-05
+         5.12808401254e-05
+         5.14896019013e-05
+         5.16991894983e-05
+         5.19096538483e-05
+         5.21209440194e-05
+         5.23331254954e-05
+         5.25461364305e-05
+         5.27600532223e-05
+         5.29748031113e-05
+         5.31904661329e-05
+         5.34069695277e-05
+         5.36243896931e-05
+         5.38426538697e-05
+         5.40618530067e-05
+         5.42818997928e-05
+         5.45028815395e-05
+         5.47247254872e-05
+         5.49475116713e-05
+         5.51711673324e-05
+         5.53957652301e-05
+         5.56212471565e-05
+         5.58476785955e-05
+         5.60749977012e-05
+         5.63032772334e-05
+         5.65324517083e-05
+         5.67625975236e-05
+         5.69936382817e-05
+         5.72256612941e-05
+         5.74585865252e-05
+         5.76925012865e-05
+         5.79273291805e-05
+         5.81631502428e-05
+         5.83998917136e-05
+         5.86376372667e-05
+         5.88763141423e-05
+         5.9115998738e-05
+         5.93566219322e-05
+         5.95982637606e-05
+         5.98408441874e-05
+         6.00844614382e-05
+         6.03290245635e-05
+         6.05746172369e-05
+         6.08211776125e-05
+         6.10687857261e-05
+         6.13173542661e-05
+         6.15669705439e-05
+         6.18175690761e-05
+         6.2069229898e-05
+         6.23218729743e-05
+         6.25755856163e-05
+         6.28302877885e-05
+         6.30860740785e-05
+         6.33428498986e-05
+         6.36007243884e-05
+         6.38595956843e-05
+         6.41195729258e-05
+         6.43805542495e-05
+         6.46426487947e-05
+         6.49057692499e-05
+         6.51699956506e-05
+         6.54352625133e-05
+         6.57016498735e-05
+         6.59690776956e-05
+         6.62376332912e-05
+         6.65072439006e-05
+         6.67779968353e-05
+         6.70498047839e-05
+         6.73227623338e-05
+         6.75967894495e-05
+         6.78719734424e-05
+         6.8148241553e-05
+         6.84256665409e-05
+         6.87041829224e-05
+         6.8983878009e-05
+         6.92646644893e-05
+         6.95466369507e-05
+         6.98297153576e-05
+         7.01139942976e-05
+         7.03993791831e-05
+         7.06859791535e-05
+         7.09736923454e-05
+         7.12626278982e-05
+         7.15526912245e-05
+         7.18439841876e-05
+         7.21364122001e-05
+         7.24300771253e-05
+         7.27248916519e-05
+         7.30209503672e-05
+         7.33181732357e-05
+         7.3616647569e-05
+         7.39162933314e-05
+         7.42172051105e-05
+         7.45192955947e-05
+         7.48226666474e-05
+         7.51272164052e-05
+         7.54330612835e-05
+         7.5740092143e-05
+         7.60484326747e-05
+         7.63579810155e-05
+         7.66688317526e-05
+         7.69808975747e-05
+         7.7294287621e-05
+         7.76089000283e-05
+         7.79248439358e-05
+         7.8242024756e-05
+         7.85605516285e-05
+         7.88803154137e-05
+         7.9201439803e-05
+         7.9523815657e-05
+         7.98475521151e-05
+         8.01725618658e-05
+         8.04989394965e-05
+         8.08265976957e-05
+         8.11556456028e-05
+         8.14859740785e-05
+         8.1817706814e-05
+         8.215073467e-05
+         8.24851667858e-05
+         8.28209085739e-05
+         8.31580691738e-05
+         8.3496553998e-05
+         8.38364649098e-05
+         8.41777073219e-05
+         8.45203976496e-05
+         8.48644194775e-05
+         8.52099037729e-05
+         8.55567341205e-05
+         8.59050414874e-05
+         8.62547021825e-05
+         8.66058398969e-05
+         8.69583600434e-05
+         8.73123644851e-05
+         8.76677513588e-05
+         8.80246443558e-05
+         8.83829416125e-05
+         8.87427449925e-05
+         8.91039599082e-05
+         8.94666954991e-05
+         8.98308644537e-05
+         9.01965613593e-05
+         9.05636916286e-05
+         9.09323716769e-05
+         9.13024996407e-05
+         9.16741919355e-05
+         9.20473321457e-05
+         9.24220657907e-05
+         9.27982400754e-05
+         9.31760296226e-05
+         9.35552889132e-05
+         9.39361489145e-05
+         9.43185004871e-05
+         9.47024745983e-05
+         9.50879402808e-05
+         9.54750430537e-05
+         9.58636592259e-05
+         9.62539270404e-05
+         9.66457082541e-05
+         9.70391483861e-05
+         9.74341310211e-05
+         9.78307798505e-05
+         9.82289857347e-05
+         9.86288723652e-05
+         9.90303233266e-05
+         9.9433484138e-05
+         9.98382020043e-05
+         0.000100244651549
+         0.000100652687252
+         0.000101062432805
+         0.00010147379362
+         0.000101886886114
+         0.000102301601146
+         0.00010271807696
+         0.000103136168036
+         0.000103556041722
+         0.000103977545223
+         0.000104400838609
+         0.000104825783637
+         0.000105252525827
+         0.000105680948764
+         0.000106111168861
+         0.000106543076981
+         0.000106976811367
+         0.000107412248326
+         0.000107849526103
+         0.000108288506453
+         0.000108729342173
+         0.000109171902295
+         0.00010961634689
+         0.000110062523163
+         0.000110510591185
+         0.000110960405436
+         0.000111412125989
+         0.000111865607323
+         0.00011232100951
+         0.000112778194307
+         0.000113237314508
+         0.000113698224595
+         0.000114161084639
+         0.000114625770948
+         0.000115092407214
+         0.00011556087702
+         0.000116031318612
+         0.000116503608297
+         0.000116977884318
+         0.00011745403026
+         0.000117932177091
+         0.000118412208394
+         0.000118894262414
+         0.000119378200907
+         0.000119864183944
+         0.000120352073282
+         0.000120842028991
+         0.000121333898278
+         0.000121827848488
+         0.000122323734104
+         0.000122821715195
+         0.00012332163169
+         0.000123823672766
+         0.00012432767835
+         0.000124833823065
+         0.000125341932289
+         0.000125852195197
+         0.000126364451717
+         0.000126878891024
+         0.000127395323943
+         0.00012791393965
+         0.000128434592625
+         0.000128957457491
+         0.000129482359625
+         0.000130009473651
+         0.000130538654048
+         0.00013107007544
+         0.000131603577756
+         0.000132139335619
+         0.000132677188958
+         0.000133217312396
+         0.000133759560413
+         0.000134304093081
+         0.000134850750328
+         0.000135399735882
+         0.000135950846015
+         0.000136504313559
+         0.000137059920235
+         0.000137617898872
+         0.000138178045745
+         0.00013874056458
+         0.000139305280754
+         0.000139872397995
+         0.000140441727126
+         0.000141013471875
+         0.000141587443068
+         0.00014216384443
+         0.000142742486787
+         0.000143323588418
+         0.000143906974699
+         0.000144492820255
+         0.000145080935908
+         0.000145671569044
+         0.000146264501382
+         0.000146859951201
+         0.000147457714775
+         0.000148058010382
+         0.000148660648847
+         0.000149265863001
+         0.000149873420014
+         0.000150483552716
+         0.000151096071932
+         0.000151711181388
+         0.000152328691911
+         0.000152948821778
+         0.000153571381816
+         0.000154196561198
+         0.000154824199853
+         0.000155454486958
+         0.000156087247888
+         0.000156722657266
+         0.000157360584126
+         0.00015800120309
+         0.000158644310432
+         0.000159290153533
+         0.000159938514116
+         0.000160589625011
+         0.000161243267939
+         0.000161899690283
+         0.000162558673765
+         0.000163220465765
+         0.000163884818903
+         0.000164551995113
+         0.000165221776115
+         0.00016589439474
+         0.000166569632711
+         0.000167247751961
+         0.000167928490555
+         0.00016861212498
+         0.000169298436958
+         0.000169987659319
+         0.000170679559233
+         0.000171374398633
+         0.000172071944689
+         0.000172772444785
+         0.000173475695192
+         0.000174181899638
+         0.0001748908835
+         0.000175602865056
+         0.00017631764058
+         0.000177035413799
+         0.000177756010089
+         0.000178479662281
+         0.000179206122993
+         0.000179935668712
+         0.000180668081157
+         0.000181403564056
+         0.000182141942787
+         0.000182883435627
+         0.000183627824299
+         0.000184375385288
+         0.000185125871212
+         0.00018587950035
+         0.000186636098078
+         0.000187395897228
+         0.000188158650417
+         0.000188924648683
+         0.000189693630091
+         0.000190465871128
+         0.000191241138964
+         0.000192019666429
+         0.000192801249796
+         0.000193586165551
+         0.000194374093553
+         0.000195165412151
+         0.000195959786652
+         0.000196757537196
+         0.000197558401851
+         0.000198362671654
+         0.00019917008467
+         0.000199980902835
+         0.000200794893317
+         0.000201612318051
+         0.000202432944207
+         0.00020325704827
+         0.000204084368306
+         0.000204915209906
+         0.000205749267479
+         0.00020658687572
+         0.000207427758141
+         0.00020827219123
+         0.000209119927604
+         0.000209971243748
+         0.000210825906834
+         0.000211684178794
+         0.000212545812246
+         0.000213411083678
+         0.000214279731154
+         0.000215152060264
+         0.000216027809074
+         0.000216907254071
+         0.000217790147872
+         0.000218676752411
+         0.00021956684941
+         0.000220460700803
+         0.000221358044655
+         0.000222259201109
+         0.000223163864575
+         0.000224072355195
+         0.000224984411034
+         0.00022590032313
+         0.000226819814998
+         0.000227743192227
+         0.000228670192882
+         0.000229601108003
+         0.000230535661103
+         0.000231474172324
+         0.000232416336075
+         0.000233362501604
+         0.000234312363318
+         0.000235266270465
+         0.000236223873799
+         0.000237185537117
+         0.000238150954829
+         0.000239120476181
+         0.000240093751927
+         0.000241071189521
+         0.000242052425165
+         0.000243037822656
+         0.000244027076405
+         0.000245020492002
+         0.000246017822064
+         0.000247019343078
+         0.000248024793109
+         0.000249034492299
+         0.000250048178714
+         0.000251066114288
+         0.000252088037087
+         0.000253114267252
+         0.000254144542851
+         0.000255179154919
+         0.000256217812421
+         0.000257260893704
+         0.00025830802042
+         0.000259359570919
+         0.000260415254161
+         0.000261475419393
+         0.000262539717369
+         0.000263608526438
+         0.000264681497356
+         0.000265759008471
+         0.000266840739641
+         0.000267927040113
+         0.000269017589744
+         0.00027011273778
+         0.000271212193184
+         0.0002723163052
+         0.000273424724583
+         0.000274537858786
+         0.000275655300356
+         0.000276777485851
+         0.000277904066024
+         0.000279035419226
+         0.000280171167105
+         0.000281311746221
+         0.000282456778223
+         0.000283606670564
+         0.000284761044895
+         0.00028592030867
+         0.000287084083539
+         0.000288252806058
+         0.000289426097879
+         0.000290604337351
+         0.000291787204333
+         0.000292975048069
+         0.000294167577522
+         0.000295365112834
+         0.000296567362966
+         0.000297774677165
+         0.000298986735288
+         0.000300203915685
+         0.000301425810903
+         0.000302652944811
+         0.000303884851746
+         0.000305121939164
+         0.000306363886921
+         0.000307611102471
+         0.000308863178361
+         0.000310120551148
+         0.000311382842483
+         0.000312650488922
+         0.000313923083013
+         0.000315201061312
+         0.00031648404547
+         0.000317772442941
+         0.000319065875374
+         0.000320364808431
+         0.000321668776451
+         0.000322978303302
+         0.000324292923324
+         0.000325613131281
+         0.000326938461512
+         0.000328269437887
+         0.000329605623847
+         0.000330947426846
+         0.000332294497639
+         0.000333647272782
+         0.000335005315719
+         0.000336369121214
+         0.000337738252711
+         0.000339113175869
+         0.00034049351234
+         0.000341879640473
+         0.000343271211023
+         0.000344668660546
+         0.000346071581589
+         0.00034748041071
+         0.000348894798663
+         0.0003503151529
+         0.000351741036866
+         0.000353172974428
+         0.00035461076186
+         0.000356054137228
+         0.000357503391569
+         0.000358958786819
+         0.000360420090146
+         0.000361887126928
+         0.000363360129995
+         0.000364839361282
+         0.000366324646166
+         0.000367815693608
+         0.00036931282375
+         0.000370816298528
+         0.00037232588511
+         0.000373841350665
+         0.000375363015337
+         0.000376891111955
+         0.000378425465897
+         0.00037996575702
+         0.000381512363674
+         0.000383065489586
+         0.00038462493103
+         0.000386190513382
+         0.000387762411265
+         0.000389341003029
+         0.000390926026739
+         0.000392517220462
+         0.000394114875235
+         0.0003957193112
+         0.000397330295527
+         0.000398947566282
+         0.000400571414502
+         0.000402202131227
+         0.000403839483624
+         0.000405483267969
+         0.000407133687986
+         0.000408791122027
+         0.000410455308156
+         0.000412126042647
+         0.000413803500123
+         0.000415488117142
+         0.00041717957356
+         0.000418877636548
+         0.000420582597144
+         0.000422294746386
+         0.000424013938755
+         0.000425739795901
+         0.000427472725278
+         0.000429212959716
+         0.000430960266385
+         0.000432714441558
+         0.000434475718066
+         0.000436244474258
+         0.000438020419097
+         0.000439803290647
+         0.000441593467258
+         0.000443391181761
+         0.000445196201326
+         0.000447008293122
+         0.000448827806395
+         0.000450654973974
+         0.000452489563031
+         0.000454331369838
+         0.000456180656329
+         0.000458037742646
+         0.000459902425064
+         0.000461774354335
+         0.000463653967017
+         0.000465541495942
+         0.000467436708277
+         0.000469339312986
+         0.000471249688417
+         0.000473168125609
+         0.000475094420835
+         0.000477028195746
+         0.000478969886899
+         0.000480919756228
+         0.000482877570903
+         0.000484843039885
+         0.000486816512421
+         0.000488798308652
+         0.000490788253956
+         0.00049278588267
+         0.000494791718666
+         0.000496805994771
+         0.000498828478158
+         0.000500858877786
+         0.000502897601109
+         0.000504944880959
+         0.000507000484504
+         0.000509064120706
+         0.000511136197019
+         0.000513217062689
+         0.00051530636847
+         0.000517403823324
+         0.000519509776495
+         0.000521624693647
+         0.00052374828374
+         0.000525880081113
+         0.000528020609636
+         0.000530170218553
+         0.000532328500412
+         0.00053449528059
+         0.000536670791917
+         0.000538855616469
+         0.000541049288586
+         0.000543251517229
+         0.000545462768059
+         0.000547683332115
+         0.000549912918359
+         0.000552151293959
+         0.000554398691747
+         0.000556655693799
+         0.000558921776246
+         0.000561196822673
+         0.00056348106591
+         0.000565774971619
+         0.000568078248762
+         0.000570390489884
+         0.000572712218855
+         0.000575043726712
+         0.000577384722419
+         0.000579734856728
+         0.000582094595302
+         0.000584464287385
+         0.000586843641941
+         0.000589232251514
+         0.000591630639974
+         0.000594039156567
+         0.000596457510255
+         0.000598885293584
+         0.000601322972216
+         0.000603770953603
+         0.0006062288885
+         0.000608696427662
+         0.000611174036749
+         0.000613662123214
+         0.000616160279606
+         0.000618668273091
+         0.000621186452918
+         0.000623715342954
+         0.000626254477538
+         0.000628803507425
+         0.000631362956483
+         0.000633933232166
+         0.000636513985228
+         0.000639104808215
+         0.000641706166789
+         0.000644318584818
+         0.000646941596642
+         0.000649574853014
+         0.000652218819596
+         0.000654874020256
+         0.000657539989334
+         0.00066021643579
+         0.000662903708871
+         0.000665602390654
+         0.000668312073685
+         0.000671032292303
+         0.000673763628583
+         0.000676506548189
+         0.000679260585457
+         0.000682025391143
+         0.000684801489115
+         0.000687589286827
+         0.00069038849324
+         0.000693198526278
+         0.000696020084433
+         0.000698853633367
+         0.000701698649209
+         0.000704554840922
+         0.000707422790583
+         0.000710302439984
+         0.000713193847332
+         0.000716097012628
+         0.000719011994079
+         0.0007219389081
+         0.000724877638277
+         0.000727828417439
+         0.00073079118738
+         0.00073376588989
+         0.000736752874218
+         0.000739751907531
+         0.000742763222661
+         0.000745786761399
+         0.000748822581954
+         0.000751870800741
+         0.00075493141776
+         0.00075800443301
+         0.000761090079322
+         0.000764188182075
+         0.000767298974097
+         0.000770422397181
+         0.000773558509536
+         0.000776707427576
+         0.000779869151302
+         0.00078304373892
+         0.000786231190432
+         0.000789431738667
+         0.000792645209003
+         0.000795871776063
+         0.000799111498054
+         0.000802364433184
+         0.000805630581453
+         0.000808910001069
+         0.000812202866655
+         0.000815509061795
+         0.000818828761112
+         0.000822161906399
+         0.000825508614071
+         0.000828869000543
+         0.000832243065815
+         0.000835630868096
+         0.000839032407384
+         0.000842447858304
+         0.000845877162647
+         0.000849320436828
+         0.000852777739055
+         0.000856249069329
+         0.000859734602273
+         0.000863234279677
+         0.000866748276167
+         0.000870276417118
+         0.000873819051776
+         0.000877376063727
+         0.000880947627593
+         0.000884533626959
+         0.000888134236448
+         0.000891749514267
+         0.000895379576832
+         0.000899024365935
+         0.000902683997992
+         0.000906358531211
+         0.00091004796559
+         0.000913752475753
+         0.000917472119909
+         0.000921206839848
+         0.00092495669378
+         0.000928721856326
+         0.000932502443902
+         0.000936298340093
+         0.000940109661315
+         0.000943936523981
+         0.000947778986301
+         0.000951637048274
+         0.000955510826316
+         0.000959400495049
+         0.000963305821642
+         0.000967227155343
+         0.000971164379735
+         0.000975117727648
+         0.000979087082669
+         0.000983072561212
+         0.0009870743379
+         0.000991092412733
+         0.00099512678571
+         0.000999177689664
+         0.00100324500818
+         0.00100732874125
+         0.00101142923813
+         0.00101554649882
+         0.0010196804069
+         0.0010238311952
+         0.00102799886372
+         0.00103218352888
+         0.00103638519067
+         0.00104060396552
+         0.00104483985342
+         0.0010490930872
+         0.00105336366687
+         0.00105765159242
+         0.00106195686385
+         0.001066279714
+         0.00107062014285
+         0.00107497826684
+         0.00107935420237
+         0.00108374783304
+         0.00108815950807
+         0.00109258899465
+         0.00109703652561
+         0.00110150221735
+         0.00110598606989
+         0.00111048808321
+         0.00111500860658
+         0.00111954740714
+         0.00112410471775
+         0.00112868053839
+         0.00113327498548
+         0.00113788829185
+         0.00114252022468
+         0.00114717101678
+         0.00115184078459
+         0.00115652952809
+         0.0011612373637
+         0.00116596440785
+         0.00117071066052
+         0.00117547612172
+         0.00118026114069
+         0.00118506560102
+         0.00118988961913
+         0.00119473319501
+         0.00119959656149
+         0.00120447971858
+         0.00120938278269
+         0.00121430575382
+         0.00121924874838
+         0.00122421199922
+         0.0012291953899
+         0.00123419892043
+         0.00123922294006
+         0.00124426744878
+         0.00124933233019
+         0.00125441804994
+         0.0012595243752
+         0.00126465142239
+         0.00126979942434
+         0.00127496838104
+         0.0012801582925
+         0.00128536939155
+         0.00129060167819
+         0.00129585526884
+         0.0013011302799
+         0.0013064268278
+         0.00131174479611
+         0.00131708441768
+         0.00132244580891
+         0.00132782908622
+         0.00133323424961
+         0.0013386614155
+         0.0013441107003
+         0.0013495819876
+         0.00135507574305
+         0.00136059185024
+         0.00136613030918
+         0.00137169135269
+         0.00137727509718
+         0.00138288142625
+         0.00138851068914
+         0.00139416288584
+         0.00139983801637
+         0.00140553631354
+         0.00141125777736
+         0.00141700252425
+         0.00142277067062
+         0.00142856233288
+         0.00143437751103
+         0.0014402163215
+         0.00144607899711
+         0.00145196542144
+         0.00145787606016
+         0.0014638104476
+         0.00146976916585
+         0.00147575209849
+         0.00148175947834
+         0.00148779107258
+         0.00149384746328
+         0.00149992841762
+         0.001506034052
+         0.00151216459926
+         0.00151832017582
+         0.00152450078167
+         0.00153070641682
+         0.00153693754692
+         0.00154319370631
+         0.00154947570991
+         0.00155578309204
+         0.00156211608555
+         0.00156847492326
+         0.00157485972159
+         0.00158127036411
+         0.00158770720009
+         0.00159417034592
+         0.00160065956879
+         0.00160717533436
+         0.00161371764261
+         0.00162028649356
+         0.00162688223645
+         0.00163350463845
+         0.00164015416522
+         0.00164683058392
+         0.00165353436023
+         0.00166026526131
+         0.0016670236364
+         0.00167380948551
+         0.00168062315788
+         0.00168746430427
+         0.00169433339033
+         0.00170123053249
+         0.00170815561432
+         0.00171510898508
+         0.00172209052835
+         0.00172910047695
+         0.00173613918014
+         0.00174320640508
+         0.00175030238461
+         0.00175742735155
+         0.00176458130591
+         0.00177176424768
+         0.00177897652611
+         0.00178621814121
+         0.00179348909296
+         0.00180078996345
+         0.00180812028702
+         0.00181548052933
+         0.00182287069038
+         0.00183029100299
+         0.00183774158359
+         0.00184522243217
+         0.00185273354873
+         0.00186027551536
+         0.00186784798279
+         0.00187545141671
+         0.0018830858171
+         0.00189075118396
+         0.00189844786655
+         0.00190617574845
+         0.00191393506248
+         0.00192172604147
+         0.00192954891827
+         0.00193740346003
+         0.0019452898996
+         0.0019532085862
+         0.00196115928702
+         0.00196914258413
+         0.0019771582447
+         0.00198520673439
+         0.00199328782037
+         0.00200140173547
+         0.00200954871252
+         0.00201772898436
+         0.00202594255097
+         0.00203418941237
+         0.00204246980138
+         0.00205078418367
+         0.00205913209356
+         0.00206751422957
+         0.00207593035884
+         0.00208438071422
+         0.00209286552854
+         0.00210138503462
+         0.00210993899964
+         0.00211852788925
+         0.00212715170346
+         0.0021358106751
+         0.00214450480416
+         0.00215323432349
+         0.0021619994659
+         0.0021708002314
+         0.00217963661999
+         0.00218850933015
+         0.00219741812907
+         0.00220636301674
+         0.00221534422599
+         0.00222436222248
+         0.00223341677338
+         0.00224250834435
+         0.0022516369354
+         0.00226080254652
+         0.00227000564337
+         0.00227924599312
+         0.00228852406144
+         0.00229783984832
+         0.0023071935866
+         0.00231658527628
+         0.00232601538301
+         0.00233548390679
+         0.0023449906148
+         0.00235453643836
+         0.00236412091181
+         0.0023737445008
+         0.00238340720534
+         0.00239310925826
+         0.00240285089239
+         0.00241263210773
+         0.00242245290428
+         0.00243231398053
+         0.00244221510366
+         0.00245215650648
+         0.00246213842183
+         0.00247216108255
+         0.0024822242558
+         0.00249232864007
+         0.00250247423537
+         0.00251266080886
+         0.00252288882621
+         0.00253315875307
+         0.00254347058944
+         0.00255382410251
+         0.00256421975791
+         0.0025746577885
+         0.00258513842709
+         0.00259566167369
+         0.00260622776113
+         0.00261683692224
+         0.00262748892419
+         0.0026381846983
+         0.00264892401174
+         0.00265970663168
+         0.00267053348944
+         0.00268140435219
+         0.00269231945276
+         0.00270327902399
+         0.00271428306587
+         0.00272533204406
+         0.00273642595857
+         0.00274756504223
+         0.00275874952786
+         0.00276997941546
+         0.0027812551707
+         0.00279257656075
+         0.0028039442841
+         0.00281535903923
+         0.00282681849785
+         0.00283832638524
+         0.00284987944178
+         0.00286148115993
+         0.00287312851287
+         0.00288482476026
+         0.00289656734094
+         0.00290835881606
+         0.00292019709013
+         0.00293208495714
+         0.0029440196231
+         0.00295600458048
+         0.00296803680249
+         0.00298011978157
+         0.00299224979244
+         0.00300443102606
+         0.00301666022278
+         0.00302894087508
+         0.00304126972333
+         0.00305365072563
+         0.00306608015671
+         0.00307856220752
+         0.0030910926871
+         0.00310367671773
+         0.00311630964279
+         0.0031289961189
+         0.00314173218794
+         0.00315452227369
+         0.0031673621852
+         0.00318025657907
+         0.00319320103154
+         0.00320620089769
+         0.00321925105527
+         0.00323235662654
+         0.00324551318772
+         0.00325872586109
+         0.00327198999003
+         0.00328531023115
+         0.00329868239351
+         0.00331211113371
+         0.00332559272647
+         0.00333913112991
+         0.00335272261873
+         0.00336637161672
+         0.0033800737001
+         0.00339383399114
+         0.00340764806606
+         0.00342152058147
+         0.00343544711359
+         0.00344943301752
+         0.003463473171
+         0.00347757292911
+         0.00349172810093
+         0.00350594264455
+         0.00352021306753
+         0.00353454379365
+         0.00354893086478
+         0.00356337823905
+         0.00357788265683
+         0.00359244807623
+         0.00360707030632
+         0.00362175470218
+         0.00363649660721
+         0.00365130067803
+         0.00366616272368
+         0.00368108763359
+         0.00369607098401
+         0.00371111766435
+         0.00372622325085
+         0.00374139240012
+         0.00375662138686
+         0.00377191463485
+         0.00378726725467
+         0.00380268529989
+         0.00381816364825
+         0.00383370742202
+         0.00384931173176
+         0.0038649821654
+         0.00388071406633
+         0.00389651232399
+         0.00391237251461
+         0.00392829999328
+         0.00394428893924
+         0.00396034633741
+         0.00397646613419
+         0.00399265438318
+         0.00400890596211
+         0.00402522599325
+         0.00404160981998
+         0.0040580634959
+         0.00407458096743
+         0.0040911687538
+         0.0041078212671
+         0.00412454409525
+         0.00414133211598
+         0.00415819138288
+         0.00417511677369
+         0.00419211387634
+         0.00420917710289
+         0.00422631250694
+         0.00424351496622
+         0.00426079053432
+         0.00427813315764
+         0.00429554935545
+         0.00431303400546
+         0.00433059222996
+         0.00434821890667
+         0.00436592055485
+         0.00438369158655
+         0.00440153712407
+         0.00441945297644
+         0.00443744473159
+         0.00445550680161
+         0.00447364477441
+         0.00449185445905
+         0.00451014051214
+         0.00452849827707
+         0.00454693380743
+         0.0045654415153
+         0.0045840269886
+         0.00460268557072
+         0.00462142331526
+         0.00464023370296
+         0.0046591241844
+         0.00467808870599
+         0.00469713285565
+         0.00471625197679
+         0.00473545165733
+         0.00475472677499
+         0.00477408291772
+         0.00479351496324
+         0.00481302943081
+         0.00483262026682
+         0.00485229352489
+         0.00487204408273
+         0.0048918784596
+         0.00491178967059
+         0.00493178563192
+         0.00495185982436
+         0.00497201876715
+         0.00499225640669
+         0.00501257972792
+         0.00503298267722
+         0.00505347223952
+         0.00507404142991
+         0.00509469769895
+         0.00511543499306
+         0.00513625983149
+         0.00515716616064
+         0.00517816096544
+         0.00519923772663
+         0.00522040389478
+         0.00524165248498
+         0.00526299094781
+         0.00528441322967
+         0.00530592631549
+         0.00532752322033
+         0.00534921139479
+         0.00537098478526
+         0.00539284944534
+         0.00541480071843
+         0.00543684372678
+         0.0054589738138
+         0.00548119749874
+         0.00550350733101
+         0.00552591215819
+         0.00554840452969
+         0.00557099236175
+         0.0055936682038
+         0.00561643950641
+         0.00563930021599
+         0.00566225824878
+         0.00568530522287
+         0.00570845045149
+         0.00573168555275
+         0.00575501890853
+         0.00577844399959
+         0.00580196781084
+         0.00582558382303
+         0.00584929995239
+         0.00587310874835
+         0.00589701766148
+         0.00592102110386
+         0.00594512512907
+         0.00596932368353
+         0.00599362514913
+         0.00601802114397
+         0.00604252004996
+         0.00606711534783
+         0.00609181448817
+         0.00611661048606
+         0.00614151032642
+         0.00616650888696
+         0.00619161268696
+         0.00621681427583
+         0.0062421229668
+         0.00626753084362
+         0.00629304582253
+         0.00631866045296
+         0.00634438404813
+         0.00637020776048
+         0.00639614090323
+         0.00642217509449
+         0.00644831964746
+         0.00647456664592
+         0.00650092447177
+         0.00652738520876
+         0.00655395863578
+         0.00658063497394
+         0.00660742493346
+         0.00663431966677
+         0.00666132755578
+         0.00668844114989
+         0.006715670228
+         0.00674300454557
+         0.00677045574412
+         0.0067980135791
+         0.00682568829507
+         0.00685347151011
+         0.00688137160614
+         0.00690938159823
+         0.00693750893697
+         0.00696574756876
+         0.00699410447851
+         0.00702257268131
+         0.00705116149038
+         0.00707986252382
+         0.00710868416354
+         0.00713761942461
+         0.00716667622328
+         0.00719584757462
+         0.00722514092922
+         0.00725455023348
+         0.00728408340365
+         0.00731373205781
+         0.00734350644052
+         0.00737339677289
+         0.00740341329947
+         0.00743354810402
+         0.0074638100341
+         0.00749419024214
+         0.0075246989727
+         0.00755532691255
+         0.0075860847719
+         0.00761696277186
+         0.00764797115698
+         0.0076791010797
+         0.00771036278456
+         0.00774174649268
+         0.00777326337993
+         0.0078049027361
+         0.00783667713404
+         0.0078685740009
+         0.00790060684085
+         0.00793276540935
+         0.00796505901963
+         0.00799748022109
+         0.00803003832698
+         0.00806272309273
+         0.00809554662555
+         0.00812849774957
+         0.00816158857197
+         0.0081948088482
+         0.00822816975415
+         0.00826166104525
+         0.00829529389739
+         0.00832905899733
+         0.00836296658963
+         0.00839700736105
+         0.00843119155616
+         0.00846550893039
+         0.00849997159094
+         0.00853456929326
+         0.00856931321323
+         0.00860419403762
+         0.00863922107965
+         0.00867438595742
+         0.00870969891548
+         0.00874515064061
+         0.00878075230867
+         0.00881649274379
+         0.00885238405317
+         0.00888841692358
+         0.00892460159957
+         0.0089609278366
+         0.00899740774184
+         0.00903403013945
+         0.0090708071366
+         0.00910772848874
+         0.00914480537176
+         0.00918202847242
+         0.0092194089666
+         0.0092569347471
+         0.00929461885244
+         0.00933245196939
+         0.00937044341117
+         0.00940858479589
+         0.0094468863681
+         0.00948533881456
+         0.00952395424247
+         0.00956271961331
+         0.00960164889693
+         0.00964073091745
+         0.00967997778207
+         0.00971937924623
+         0.00975894741714
+         0.00979866832495
+         0.00983855873346
+         0.00987860467285
+         0.00991882104427
+         0.00995919387788
+         0.00999973807484
+         0.0100404405966
+         0.0100813154131
+         0.0101223485544
+         0.0101635567844
+         0.0102049261332
+         0.0102464696392
+         0.0102881770581
+         0.0103300595656
+         0.0103721069172
+         0.0104143312201
+         0.0104567212984
+         0.0104992901906
+         0.0105420257896
+         0.0105849429965
+         0.0106280269101
+         0.010671293363
+         0.0107147293165
+         0.0107583487406
+         0.0108021385968
+         0.0108461137861
+         0.0108902622014
+         0.0109345959499
+         0.0109791029245
+         0.0110237989575
+         0.0110686700791
+         0.0111137302592
+         0.0111589673907
+         0.0112043945119
          0.011250000447
-         0.0114344386384
-         0.0116218999028
-         0.0118124345317
-         0.0120060928166
-         0.0122029250488
-         0.012402985245
-         0.0126063255593
-         0.0128129990771
-         0.0130230598152
-         0.0132365664467
-         0.0134535720572
-         0.0136741371825
-         0.0138983158395
-         0.0141261704266
-         0.0143577624112
-         0.014593148604
-         0.0148323960602
-         0.0150755643845
-         0.015322720632
-         0.0155739281327
-         0.0158292520791
-         0.0160887651145
-         0.0163525324315
-         0.0166206229478
-         0.016893107444
-         0.017170060426
-         0.0174515657127
-         0.0177376735955
-         0.0180284734815
-         0.0183240398765
-         0.0186244528741
-         0.0189297907054
-         0.0192401334643
-         0.0195555649698
-         0.0198761671782
-         0.0202020257711
-         0.0205332264304
-         0.0208698567003
-         0.0212120059878
-         0.0215597655624
-         0.0219132266939
-         0.0222724806517
-         0.0226376280189
-         0.0230087563396
-         0.0233859717846
-         0.0237693730742
-         0.0241590607911
-         0.0245551336557
-         0.0249577015638
-         0.0253668688238
-         0.0257827434689
-         0.0262054372579
-         0.0266350600868
-         0.0270717274398
-         0.0275155548006
-         0.0279666576535
-         0.0284251533449
-         0.0288911685348
-         0.0293648410589
-         0.0298462640494
-         0.0303355753422
-         0.0308329090476
-         0.0313383974135
-         0.031852170825
-         0.0323743708432
-         0.0329051315784
-         0.0334445908666
-         0.0339928977191
-         0.0345501936972
-         0.0351166240871
-         0.0356923416257
-         0.0362774990499
-         0.0368722453713
-         0.0374767445028
-         0.0380911566317
-         0.0387156382203
-         0.0393503606319
-         0.0399954877794
-         0.040651191026
-         0.0413176454604
-         0.0419950224459
-         0.0426835082471
-         0.043383281678
-         0.0440945252776
-         0.0448174327612
-         0.0455521866679
-         0.0462989918888
-         0.0470580346882
-         0.0478295274079
-         0.0486136674881
-         0.0494106598198
-         0.0502207167447
-         0.0510440580547
-         0.0518808998168
-         0.0527314580977
-         0.0535959601402
-         0.0544746369123
-         0.0553677156568
-         0.0562754385173
-         0.0571980439126
-         0.0581357739866
-         0.0590888746083
-         0.0600576065481
-         0.0610422156751
-         0.062042966485
-         0.0630601346493
-         0.0640939623117
-         0.0651447474957
-         0.0662127658725
-         0.0672982782125
-         0.0684015974402
-         0.0695230066776
-         0.0706627964973
-         0.0718212723732
-         0.072998739779
-         0.0741955190897
-         0.0754119083285
-         0.0766482427716
-         0.0779048502445
-         0.0791820585728
-         0.0804802030325
-         0.081799633801
-         0.0831407383084
-         0.0845037922263
-         0.0858891829848
-         0.087297283113
-         0.0887284725904
-         0.0901831313968
-         0.091661632061
-         0.0931643769145
-         0.0946917533875
-         0.0962441787124
-         0.09782204777
-         0.0994257777929
-         0.101055808365
-         0.10271255672
-         0.104396469891
-         0.106108002365
-         0.107847571373
-         0.109615676105
-         0.111412763596
-         0.113239318132
-         0.115095816553
-         0.116982750595
-         0.118900611997
-         0.120849914849
-         0.122831188142
-         0.124844938517
-         0.126891702414
-         0.128972023726
-         0.131086438894
-         0.133235529065
-         0.135419845581
-         0.137639984488
-         0.139896601439
-         0.142190128565
-         0.144521251321
-         0.146890610456
-         0.149298802018
-         0.151746466756
-         0.154234260321
-         0.156762853265
-         0.159332886338
-         0.161945059896
-         0.16460005939
-         0.167298570275
-         0.17004135251
-         0.172829076648
-         0.175662517548
-         0.178542405367
-         0.181469514966
-         0.184444606304
-         0.187468454242
-         0.190541908145
-         0.193665727973
-         0.196840777993
-         0.200067862868
-         0.203347861767
-         0.206681638956
-         0.210070088506
-         0.213514059782
-         0.217014491558
-         0.220572322607
-         0.224188476801
-         0.227863937616
-         0.231599643826
-         0.235396578908
-         0.239255785942
-         0.243178248405
-         0.247165009379
-         0.251217156649
-         0.255335718393
-         0.259521812201
-         0.263776510954
-         0.268100976944
-         0.272496342659
-         0.27696377039
-         0.281504422426
-         0.286119520664
-         0.290810316801
-         0.295577973127
-         0.300423800945
-         0.305349498987
-         0.31035554409
-         0.315443664789
-         0.320615172386
-         0.32587146759
-         0.331213951111
-         0.336644023657
-         0.34216311574
-         0.347772687674
-         0.353474229574
-         0.359269231558
-         0.365159243345
-         0.371145814657
-         0.377230554819
-         0.383415043354
-         0.38970091939
-         0.396089851856
-         0.402583509684
-         0.409183651209
-         0.415891975164
-         0.42271026969
-         0.429640382528
-         0.43668410182
-         0.443843305111
-         0.451119840145
-         0.458515703678
-         0.466032862663
-         0.473673164845
-         0.481438755989
-         0.48933172226
-         0.497354000807
-         0.505507826805
-         0.513795375824
-         0.522218763828
-         0.530780255795
-         0.539482057095
-         0.548326611519
-         0.557316124439
-         0.566452980042
-         0.575739681721
-         0.585178613663
-         0.594772279263
-         0.60452324152
-         0.614434063435
-         0.624507367611
-         0.634745836258
-         0.64515209198
-         0.6557289958
-         0.666479289532
-         0.677405834198
-         0.688511550426
-         0.699799358845
-         0.71127218008
-         0.72293305397
-         0.734785139561
-         0.746831536293
-         0.759075403214
-         0.771520078182
-         0.784168660641
-         0.797024667263
-         0.810091435909
-         0.823372483253
-         0.836871147156
-         0.850591182709
-         0.864536762238
-         0.878710329533
-         0.893116354942
-         0.907758414745
-         0.922640621662
-         0.937766849995
-         0.953140974045
-         0.968767166138
-         0.984649598598
-         1.00079238415
-         1.01719975471
-         1.03387618065
-         1.05082607269
-         1.06805372238
-         1.08556389809
-         1.10336112976
-         1.12145006657
-         1.13983559608
-         1.1585226059
-         1.17751586437
-         1.19682061672
-         1.21644186974
-         1.2363846302
-         1.25665450096
-         1.27725672722
-         1.29819655418
-         1.31947982311
-         1.34111189842
-         1.36309874058
-         1.38544595242
-         1.40815961361
-         1.43124556541
-         1.45471000671
-         1.47855913639
-         1.50279927254
-         1.52743685246
-         1.55247843266
-         1.57793033123
-         1.60379970074
-         1.63009309769
-         1.65681743622
-         1.68398010731
-         1.7115881443
-         1.73964858055
-         1.76816904545
-         1.79715716839
-         1.82662057877
-         1.85656714439
-         1.88700437546
-         1.91794085503
-         1.94938445091
-         1.98134350777
-         2.01382637024
-         2.04684209824
-         2.08039879799
-         2.11450576782
-         2.14917206764
-         2.18440628052
-         2.22021865845
-         2.2566177845
-         2.29361367226
-         2.3312163353
-         2.36943531036
-         2.40828084946
-         2.4477648735
-         2.48789453506
-         2.5286822319
-         2.57013869286
-         2.61227464676
-         2.65510129929
-         2.69863033295
-         2.742872715
-         2.78784060478
-         2.83354568481
+         0.011295799166
+         0.0113417766988
+         0.0113879488781
+         0.011434301734
+         0.0114808510989
+         0.0115275820717
+         0.0115745104849
+         0.0116216233
+         0.0116689344868
+         0.0117164300755
+         0.0117641277611
+         0.0118120117113
+         0.0118600986898
+         0.0119083728641
+         0.0119568528607
+         0.0120055209845
+         0.0120543949306
+         0.0121034607291
+         0.0121527323499
+         0.0122021995485
+         0.0122518735006
+         0.0123017430305
+         0.0123518239707
+         0.0124020995572
+         0.012452589348
+         0.0125032747164
+         0.0125541752204
+         0.0126052750275
+         0.0126565909013
+         0.0127081079409
+         0.0127598429099
+         0.0128117799759
+         0.0128639349714
+         0.0129162957892
+         0.0129688782617
+         0.0130216665566
+         0.0130746774375
+         0.0131278950721
+         0.0131813380867
+         0.0132349925116
+         0.0132888713852
+         0.013342961669
+         0.0133972801268
+         0.0134518109262
+         0.0135065736249
+         0.0135615495965
+         0.01361675933
+         0.0136721841991
+         0.0137278437614
+         0.0137837193906
+         0.0138398343697
+         0.013896166347
+         0.0139527376741
+         0.0140095297247
+         0.0140665629879
+         0.0141238188371
+         0.0141813158989
+         0.0142390392721
+         0.0142970057204
+         0.0143551994115
+         0.0144136389717
+         0.0144723076373
+         0.014531224966
+         0.0145903714001
+         0.0146497692913
+         0.0147093981504
+         0.0147692803293
+         0.0148293962702
+         0.0148897664621
+         0.0149503722787
+         0.0150112351403
+         0.0150723364204
+         0.0151336956769
+         0.0151952952147
+         0.0152571555227
+         0.015319256112
+         0.0153816221282
+         0.0154442302883
+         0.0155071020126
+         0.0155702214688
+         0.0156336091459
+         0.0156972426921
+         0.0157611444592
+         0.0158252976835
+         0.0158897228539
+         0.0159543994814
+         0.0160193499178
+         0.0160845536739
+         0.0161500349641
+         0.016215769574
+         0.0162817854434
+         0.0163480564952
+         0.016414610669
+         0.0164814218879
+         0.0165485180914
+         0.016615876928
+         0.0166835188866
+         0.0167514272034
+         0.0168196223676
+         0.0168880838901
+         0.0169568341225
+         0.0170258544385
+         0.0170951671898
+         0.0171647500247
+         0.0172346271574
+         0.0173047780991
+         0.0173752252012
+         0.0174459498376
+         0.0175169706345
+         0.0175882708281
+         0.0176598727703
+         0.0177317541093
+         0.0178039390594
+         0.0178764071316
+         0.0179491825402
+         0.0180222410709
+         0.0180956106633
+         0.0181692652404
+         0.018243232742
+         0.0183174889535
+         0.018392059952
+         0.0184669215232
+         0.0185420997441
+         0.0186175722629
+         0.018693363294
+         0.0187694523484
+         0.0188458617777
+         0.0189225710928
+         0.0189996045083
+         0.0190769396722
+         0.0191546026617
+         0.0192325673997
+         0.0193108636886
+         0.0193894635886
+         0.0194683987647
+         0.01954764314
+         0.0196272209287
+         0.0197071097791
+         0.019787337631
+         0.0198678784072
+         0.0199487600476
+         0.0200299583375
+         0.0201115012169
+         0.0201933607459
+         0.0202755685896
+         0.0203580968082
+         0.0204409733415
+         0.0205241758376
+         0.0206077285111
+         0.0206916090101
+         0.0207758452743
+         0.0208604093641
+         0.0209453329444
+         0.0210305880755
+         0.0211162026972
+         0.0212021525949
+         0.0212884657085
+         0.0213751178235
+         0.0214621350169
+         0.0215494930744
+         0.0216372217983
+         0.0217252913862
+         0.0218137353659
+         0.0219025239348
+         0.0219916906208
+         0.0220812037587
+         0.0221710950136
+         0.0222613401711
+         0.0223519653082
+         0.0224429443479
+         0.0225343089551
+         0.0226260330528
+         0.0227181427181
+         0.0228106137365
+         0.0229034740478
+         0.0229967013001
+         0.023090319708
+         0.0231843050569
+         0.0232786871493
+         0.023373439908
+         0.0234685931355
+         0.0235641170293
+         0.0236600488424
+         0.0237563494593
+         0.0238530635834
+         0.0239501539618
+         0.0240476541221
+         0.0241455361247
+         0.0242438334972
+         0.0243425127119
+         0.0244416110218
+         0.0245410967618
+         0.0246410053223
+         0.024741301313
+         0.0248420219868
+         0.0249431375414
+         0.0250446796417
+         0.0251466203481
+         0.0252489913255
+         0.0253517627716
+         0.0254549719393
+         0.0255585797131
+         0.0256626307964
+         0.0257670879364
+         0.025871982798
+         0.0259772911668
+         0.0260830428451
+         0.0261892098933
+         0.0262958277017
+         0.0264028590173
+         0.0265103466809
+         0.026618251577
+         0.0267266146839
+         0.0268354006112
+         0.0269446466118
+         0.0270543228835
+         0.0271644592285
+         0.0272750277072
+         0.0273860637099
+         0.0274975355715
+         0.0276094786823
+         0.0277218576521
+         0.0278347115964
+         0.0279480069876
+         0.0280617848039
+         0.0281760059297
+         0.0282907113433
+         0.0284058637917
+         0.0285215042531
+         0.0286375954747
+         0.0287541784346
+         0.0288712177426
+         0.0289887525141
+         0.0291067454964
+         0.0292252376676
+         0.0293441973627
+         0.0294636562467
+         0.0295835845172
+         0.0297040175647
+         0.0298249237239
+         0.0299463383853
+         0.0300682317466
+         0.0301906373352
+         0.0303135253489
+         0.030436931178
+         0.0305608194321
+         0.0306852310896
+         0.0308101307601
+         0.0309355594218
+         0.0310614779592
+         0.031187929213
+         0.0313148759305
+         0.0314423590899
+         0.0315703377128
+         0.0316988602281
+         0.0318278856575
+         0.0319574587047
+         0.0320875346661
+         0.0322181619704
+         0.0323492996395
+         0.0324809961021
+         0.0326132029295
+         0.0327459685504
+         0.032879255712
+         0.0330131091177
+         0.0331474840641
+         0.0332824252546
+         0.0334178954363
+         0.0335539393127
+         0.0336905159056
+         0.0338276699185
+         0.0339653603733
+         0.0341036319733
+         0.0342424474657
+         0.0343818478286
+         0.034521792084
+         0.0346623323858
+         0.03480341658
+         0.0349451042712
+         0.0350873395801
+         0.0352301821113
+         0.0353735797107
+         0.0355175845325
+         0.0356621518731
+         0.0358073338866
+         0.0359530821443
+         0.0360994488001
+         0.0362463854253
+         0.0363939441741
+         0.0365420766175
+         0.036690838635
+         0.036840185523
+         0.0369901619852
+         0.0371407195926
+         0.0372919216752
+         0.0374437123537
+         0.0375961475074
+         0.0377491749823
+         0.0379028506577
+         0.0380571261048
+         0.0382120609283
+         0.0383675955236
+         0.0385237894952
+         0.0386805944145
+         0.0388380624354
+         0.0389961451292
+         0.0391548983753
+         0.0393142737448
+         0.0394743196666
+         0.0396349951625
+         0.0397963486612
+         0.0399583354592
+         0.0401210002601
+         0.0402843095362
+         0.040448307991
+         0.0406129434705
+         0.0407782793045
+         0.0409442596138
+         0.0411109440029
+         0.0412782765925
+         0.0414463207126
+         0.0416150204837
+         0.0417844392359
+         0.0419545136392
+         0.0421253107488
+         0.0422967746854
+         0.0424689650536
+         0.042641825974
+         0.0428154245019
+         0.0429896935821
+         0.043164703995
+         0.0433403998613
+         0.0435168407857
+         0.0436939671636
+         0.04387184605
+         0.0440504178405
+         0.0442297458649
+         0.0444097779691
+         0.0445905663073
+         0.0447720661759
+         0.0449543334544
+         0.0451373159885
+         0.0453210659325
+         0.0455055385828
+         0.0456907935441
+         0.0458767674863
+         0.0460635311902
+         0.0462510287762
+         0.0464393123984
+         0.0466283373535
+         0.0468181595206
+         0.0470087230206
+         0.0472000986338
+         0.0473922230303
+         0.0475851520896
+         0.0477788411081
+         0.0479733496904
+         0.0481686145067
+         0.0483647100627
+         0.0485615693033
+         0.0487592630088
+         0.0489577315748
+         0.0491570346057
+         0.0493571199477
+         0.0495580583811
+         0.0497597679496
+         0.0499623455107
+         0.0501657053828
+         0.0503699295223
+         0.0505749508739
+         0.0507808439434
+         0.0509875416756
+         0.0511951111257
+         0.0514034926891
+         0.0516127534211
+         0.0518228337169
+         0.0520338043571
+         0.0522455982864
+         0.052458293736
+         0.0526718124747
+         0.0528862401843
+         0.0531015060842
+         0.0533176809549
+         0.0535347014666
+         0.0537526383996
+         0.0539714321494
+         0.0541911497712
+         0.0544117279351
+         0.0546332374215
+         0.0548556111753
+         0.0550789274275
+         0.055303119123
+         0.0555282570422
+         0.0557542778552
+         0.0559812486172
+         0.0562091134489
+         0.0564379394054
+         0.0566676594317
+         0.056898355484
+         0.0571299493313
+         0.0573625229299
+         0.0575960092247
+         0.0578304827213
+         0.0580658726394
+         0.05830225721
+         0.0585395693779
+         0.0587778836489
+         0.0590171292424
+         0.0592573881149
+         0.0594985820353
+         0.0597408004105
+         0.0599839650095
+         0.0602281652391
+         0.0604733116925
+         0.0607194975019
+         0.0609666444361
+         0.0612148419023
+         0.0614640004933
+         0.0617142245173
+         0.0619654208422
+         0.0622176826
+         0.0624709315598
+         0.0627252459526
+         0.0629805624485
+         0.063236951828
+         0.0634943470359
+         0.0637528300285
+         0.0640123337507
+         0.0642729252577
+         0.0645345374942
+         0.0647972524166
+         0.0650610029697
+         0.0653258636594
+         0.0655917599797
+         0.0658587887883
+         0.0661268532276
+         0.0663960501552
+         0.0666663050652
+         0.0669377073646
+         0.0672101676464
+         0.0674837827682
+         0.0677584633231
+         0.0680343061686
+         0.0683112293482
+         0.068589322269
+         0.0688685029745
+         0.0691488608718
+         0.069430321455
+         0.0697129741311
+         0.0699967294931
+         0.0702816918492
+         0.0705677568913
+         0.0708550363779
+         0.0711434409022
+         0.0714330673218
+         0.071723818779
+         0.0720158070326
+         0.072308935225
+         0.0726033076644
+         0.0728988274932
+         0.0731955990195
+         0.0734935253859
+         0.0737927183509
+         0.0740930810571
+         0.074394710362
+         0.0746975243092
+         0.0750016123056
+         0.0753068998456
+         0.0756134688854
+         0.0759212449193
+         0.0762303173542
+         0.0765406042337
+         0.0768522024155
+         0.0771650075912
+         0.0774791538715
+         0.077794522047
+         0.0781112164259
+         0.0784291550517
+         0.0787484422326
+         0.0790689736605
+         0.079390861094
+         0.0797140076756
+         0.0800385251641
+         0.0803643092513
+         0.0806914716959
+         0.0810199156404
+         0.0813497453928
+         0.0816808640957
+         0.0820133909583
+         0.0823472067714
+         0.0826824456453
+         0.0830189883709
+         0.0833569616079
+         0.0836962461472
+         0.084036976099
+         0.0843790397048
+         0.0847225412726
+         0.0850673913956
+         0.0854137018323
+         0.0857613608241
+         0.0861104950309
+         0.0864609926939
+         0.0868129730225
+         0.087166339159
+         0.0875211879611
+         0.0878774300218
+         0.0882351770997
+         0.0885943248868
+         0.0889549851418
+         0.0893170684576
+         0.0896806791425
+         0.0900457054377
+         0.0904122814536
+         0.090780287981
+         0.0911498591304
+         0.0915208682418
+         0.0918934494257
+         0.0922674760222
+         0.0926431044936
+         0.0930201932788
+         0.0933988764882
+         0.0937790423632
+         0.0941608175635
+         0.09454408288
+         0.0949289724231
+         0.0953153595328
+         0.0957033857703
+         0.0960929319263
+         0.0964841246605
+         0.0968768522143
+         0.0972712337971
+         0.0976671651006
+         0.0980647653341
+         0.0984639152884
+         0.0988647714257
+         0.0992671772838
+         0.0996712967753
+         0.100076988339
+         0.100484408438
+         0.10089340806
+         0.101304143667
+         0.101716481149
+         0.102130576968
+         0.102546282113
+         0.102963745594
+         0.103382840753
+         0.1038037166
+         0.104226224124
+         0.104650527239
+         0.105076499283
+         0.105504266918
+         0.105933696032
+         0.106364957988
+         0.106797896326
+         0.107232674956
+         0.107669144869
+         0.108107455075
+         0.108547493815
+         0.108989387751
+         0.109433017671
+         0.109878517687
+         0.110325761139
+         0.110774897039
+         0.111225783825
+         0.11167858541
+         0.112133152783
+         0.112589642406
+         0.113047927618
+         0.113508142531
+         0.113970153034
+         0.114434123039
+         0.114899918437
+         0.115367673337
+         0.11583725363
+         0.116308830678
+         0.11678224802
+         0.117257662117
+         0.11773493886
+         0.11821423471
+         0.118695415556
+         0.119178622961
+         0.119663715363
+         0.120150864124
+         0.120639920235
+         0.121131040156
+         0.121624082327
+         0.122119218111
+         0.122616291046
+         0.123115457594
+         0.123616583645
+         0.124119818211
+         0.12462502718
+         0.125132367015
+         0.125641703606
+         0.126153185964
+         0.126666679978
+         0.127182334661
+         0.127700015903
+         0.128219872713
+         0.128741785884
+         0.129265889525
+         0.129792034626
+         0.130320414901
+         0.130850866437
+         0.131383568048
+         0.131918340921
+         0.132455378771
+         0.132994502783
+         0.133535921574
+         0.134079471231
+         0.134625300765
+         0.135173276067
+         0.13572357595
+         0.136276006699
+         0.136830791831
+         0.137387722731
+         0.137947037816
+         0.138508528471
+         0.139072388411
+         0.139638468623
+         0.140206933022
+         0.140777617693
+         0.141350731254
+         0.141926065087
+         0.142503857613
+         0.143083885312
+         0.143666386604
+         0.144251152873
+         0.144838392735
+         0.145427942276
+         0.14601996541
+         0.146614328027
+         0.147211194038
+         0.147810384631
+         0.148412123322
+         0.149016216397
+         0.149622857571
+         0.150231868029
+         0.150843456388
+         0.151457443833
+         0.152074024081
+         0.152693018317
+         0.153314635158
+         0.153938680887
+         0.154565364122
+         0.155194491148
+         0.155826285481
+         0.156460553408
+         0.157097503543
+         0.157736942172
+         0.158379077911
+         0.159023731947
+         0.159671127796
+         0.160321041942
+         0.160973697901
+         0.16162891686
+         0.162286907434
+         0.16294747591
+         0.163610830903
+         0.164276778698
+         0.164945557714
+         0.165616944432
+         0.166291162372
+         0.166968017817
+         0.167647749186
+         0.168330132961
+         0.169015407562
+         0.169703349471
+         0.170394212008
+         0.171087771654
+         0.171784266829
+         0.172483488917
+         0.173185676336
+         0.173890590668
+         0.174598500133
+         0.175309181213
+         0.176022857428
+         0.17673933506
+         0.177458822727
+         0.178181141615
+         0.178906530142
+         0.179634734988
+         0.180366143584
+         0.181100293994
+         0.181837424636
+         0.182577699423
+         0.183320969343
+         0.184067130089
+         0.184816360474
+         0.185568749905
+         0.186324179173
+         0.187082588673
+         0.187844067812
+         0.188608810306
+         0.189376622438
+         0.190147444606
+         0.190921410918
+         0.191698640585
+         0.1924790591
+         0.193262502551
+         0.194049134851
+         0.194839119911
+         0.195632308722
+         0.196428596973
+         0.197228133678
+         0.198031038046
+         0.198837220669
+         0.199646562338
+         0.200459197164
+         0.201275244355
+         0.202094644308
+         0.202917233109
+         0.203743174672
+         0.204572632909
+         0.205405443907
+         0.206241503358
+         0.207080960274
+         0.207923993468
+         0.20877045393
+         0.209620222449
+         0.210473448038
+         0.211330264807
+         0.212190613151
+         0.213054284453
+         0.213921502233
+         0.214792355895
+         0.215666785836
+         0.216544613242
+         0.217426031828
+         0.218311160803
+         0.21919991076
+         0.220092117786
+         0.220987975597
+         0.221887618303
+         0.222790926695
+         0.223697766662
+         0.224608272314
+         0.225522652268
+         0.226440757513
+         0.227362453938
+         0.228287875652
+         0.229217261076
+         0.230150386691
+         0.231087192893
+         0.23202778399
+         0.232972368598
+         0.233920797706
+         0.234872922301
+         0.235828951001
+         0.236789003015
+         0.237752974033
+         0.238720685244
+         0.239692375064
+         0.240668162704
+         0.241647928953
+         0.242631494999
+         0.243619084358
+         0.244610860944
+         0.245606675744
+         0.246606379747
+         0.247610151768
+         0.248618170619
+         0.24963028729
+         0.25064638257
+         0.25166657567
+         0.252691119909
+         0.253719806671
+         0.254752546549
+         0.255789488554
+         0.256830781698
+         0.257876336575
+         0.258925974369
+         0.259979903698
+         0.261038273573
+         0.262100964785
+         0.263167798519
+         0.264238983393
+         0.265314698219
+         0.266394793987
+         0.267479091883
+         0.268567830324
+         0.269661158323
+         0.270758956671
+         0.271861046553
+         0.272967606783
+         0.274078845978
+         0.275194644928
+         0.276314765215
+         0.277439445257
+         0.278568923473
+         0.279702961445
+         0.280841469765
+         0.281984567642
+         0.283132523298
+         0.284285157919
+         0.28544229269
+         0.286604136229
+         0.28777089715
+         0.288942426443
+         0.290118515491
+         0.291299402714
+         0.292485266924
+         0.293675988913
+         0.294871330261
+         0.296071559191
+         0.297276854515
+         0.298487067223
+         0.299702018499
+         0.300921887159
+         0.302146941423
+         0.303377002478
+         0.304611831903
+         0.305851697922
+         0.307096838951
+         0.308347016573
+         0.309602111578
+         0.310862272978
+         0.312127798796
+         0.313398450613
+         0.314674079418
+         0.31595492363
+         0.317241191864
+         0.318532675505
+         0.319829195738
+         0.321131020784
+         0.322438329458
+         0.32375100255
+         0.325068742037
+         0.326391905546
+         0.32772064209
+         0.329054802656
+         0.330394119024
+         0.331738948822
+         0.333089441061
+         0.334445476532
+         0.335806757212
+         0.337173610926
+         0.33854624629
+         0.339924484491
+         0.341308087111
+         0.342697322369
+         0.344092428684
+         0.345493227243
+         0.34689950943
+         0.348311513662
+         0.349729478359
+         0.351153194904
+         0.352582514286
+         0.354017645121
+         0.355458855629
+         0.356905937195
+         0.3583586514
+         0.359817296267
+         0.361282110214
+         0.362752914429
+         0.364229410887
+         0.365711957216
+         0.367200791836
+         0.368695646524
+         0.370196342468
+         0.371703147888
+         0.373216360807
+         0.374735713005
+         0.376261025667
+         0.377792537212
+         0.379330545664
+         0.380874782801
+         0.382425099611
+         0.38398167491
+         0.385544866323
+         0.387114405632
+         0.388690084219
+         0.390272200108
+         0.391860961914
+         0.393456250429
+         0.395057737827
+         0.396665781736
+         0.398280590773
+         0.399901986122
+         0.401529699564
+         0.403164088726
+         0.404805362225
+         0.406453311443
+         0.408107727766
+         0.409768849611
+         0.411437004805
+         0.413111954927
+         0.414793461561
+         0.416481852531
+         0.418177306652
+         0.419879704714
+         0.421588778496
+         0.423304796219
+         0.425028055906
+         0.426758348942
+         0.428495407104
+         0.430239528418
+         0.431991010904
+         0.433749645948
+         0.435515135527
+         0.437287837267
+         0.43906801939
+         0.44085547328
+         0.442649900913
+         0.444451630116
+         0.446260988712
+         0.448077708483
+         0.449901521206
+         0.451732814312
+         0.453571766615
+         0.455418288708
+         0.45727199316
+         0.459133207798
+         0.461002349854
+         0.462879091501
+         0.464763194323
+         0.466654896736
+         0.468554675579
+         0.470462143421
+         0.472377061844
+         0.474299788475
+         0.476230680943
+         0.478169441223
+         0.480115741491
+         0.482069969177
+         0.484032481909
+         0.48600295186
+         0.487981170416
+         0.489967375994
+         0.491962045431
+         0.4939648211
+         0.49597543478
+         0.497994214296
+         0.500021517277
+         0.502057135105
+         0.504100680351
+         0.506152510643
+         0.508213043213
+         0.510281980038
+         0.512359023094
+         0.514444470406
+         0.516538798809
+         0.518641591072
+         0.520752668381
+         0.522872269154
+         0.525000870228
+         0.527138233185
+         0.529283821583
+         0.531438171864
+         0.533601641655
+         0.535773932934
+         0.537954747677
+         0.540144383907
+         0.542343258858
+         0.544551193714
+         0.546767711639
+         0.548993229866
+         0.551228165627
+         0.553472220898
+         0.555725038052
+         0.557986974716
+         0.560258567333
+         0.56253939867
+         0.564829111099
+         0.567128121853
+         0.569436907768
+         0.571755111217
+         0.574082314968
+         0.576419055462
+         0.578765630722
+         0.58112180233
+         0.583487153053
+         0.585862159729
+         0.588247179985
+         0.590641915798
+         0.593046069145
+         0.595459938049
+         0.597883999348
+         0.600318014622
+         0.602761507034
+         0.605214953423
+         0.607678771019
+         0.6101526618
+         0.61263614893
+         0.615129828453
+         0.617633998394
+         0.620148360729
+         0.622672557831
+         0.625207066536
+         0.627752304077
+         0.630307853222
+         0.632873415947
+         0.635449409485
+         0.638036370277
+         0.640633821487
+         0.643241405487
+         0.645859539509
+         0.648488879204
+         0.65112888813
+         0.653779149055
+         0.656440258026
+         0.659112632275
+         0.661795854568
+         0.664489626884
+         0.66719430685
+         0.669910430908
+         0.67263764143
+         0.675375521183
+         0.678124547005
+         0.680885136127
+         0.683657050133
+         0.686439752579
+         0.689233779907
+         0.69203966856
+         0.6948569417
+         0.697685241699
+         0.700525045395
+         0.703376889229
+         0.706240355968
+         0.709114968777
+         0.7120013237
+         0.714899837971
+         0.717810213566
+         0.720731914043
+         0.72366553545
+         0.726611554623
+         0.729569613934
+         0.732539176941
+         0.735520899296
+         0.738515138626
+         0.741521656513
+         0.744539856911
+         0.747570455074
+         0.750613749027
+         0.753669500351
+         0.756737172604
+         0.759817421436
+         0.762910664082
+         0.766016423702
+         0.76913434267
+         0.772265017033
+         0.775408864021
+         0.778565585613
+         0.781734585762
+         0.784916520119
+         0.788111925125
+         0.791320264339
+         0.794541239738
+         0.797775268555
+         0.801023006439
+         0.804283976555
+         0.807557702065
+         0.81084471941
+         0.814145684242
+         0.817460000515
+         0.82078742981
+         0.824128270149
+         0.827483296394
+         0.830851912498
+         0.834233820438
+         0.837629437447
+         0.841039419174
+         0.844463288784
+         0.84790045023
+         0.851351737976
+         0.854817569256
+         0.858297586441
+         0.861791133881
+         0.865298867226
+         0.868821501732
+         0.872358441353
+         0.875909268856
+         0.879474461079
+         0.883054852486
+         0.886649787426
+         0.890258669853
+         0.893882393837
+         0.897521317005
+         0.901175141335
+         0.904843211174
+         0.908526301384
+         0.912224829197
+         0.915938556194
+         0.919666707516
+         0.923409998417
+         0.927169203758
+         0.930943727493
+         0.934732973576
+         0.938537657261
+         0.9423584342
+         0.946194827557
+         0.950046122074
+         0.953913152218
+         0.95779645443
+         0.961695671082
+         0.965610146523
+         0.969540417194
+         0.973487436771
+         0.977450489998
+         0.981429100037
+         0.985423803329
+         0.989435434341
+         0.993463456631
+         0.997507154942
+         1.00156736374
+         1.00564479828
+         1.0097386837
+         1.01384866238
+         1.01797533035
+         1.02211952209
+         1.02628064156
+         1.03045785427
+         1.03465211391
+         1.03886425495
+         1.04309344292
+         1.04733920097
+         1.05160224438
+         1.05588328838
+         1.06018185616
+         1.06449699402
+         1.06882989407
+         1.07318115234
+         1.0775500536
+         1.08193600178
+         1.08633983135
+         1.09076237679
+         1.09520292282
+         1.09966063499
+         1.1041367054
+         1.10863161087
+         1.11314487457
+         1.11767566204
+         1.12222504616
+         1.12679350376
+         1.13138079643
+         1.13598585129
+         1.14060974121
+         1.14525306225
+         1.14991545677
+         1.15459597111
+         1.15929555893
+         1.1640150547
+         1.16875374317
+         1.17351090908
+         1.1782875061
+         1.18308436871
+         1.18790078163
+         1.19273579121
+         1.19759070873
+         1.20246601105
+         1.20736134052
+         1.21227562428
+         1.2172100544
+         1.22216522694
+         1.22714066505
+         1.23213553429
+         1.23715078831
+         1.24218714237
+         1.24724411964
+         1.25232088566
+         1.25741815567
+         1.26253712177
+         1.2676769495
+         1.27283680439
+         1.27801764011
+         1.28322041035
+         1.28844439983
+         1.29368889332
+         1.29895460606
+         1.30424261093
+         1.30955219269
+         1.31488251686
+         1.32023453712
+         1.32560920715
+         1.33100569248
+         1.33642339706
+         1.34186303616
+         1.34732568264
+         1.35281074047
+         1.35831713676
+         1.3638459444
+         1.36939811707
+         1.37497293949
+         1.38056945801
+         1.38618898392
+         1.39183199406
+         1.39749825001
+         1.40318655968
+         1.40889787674
+         1.4146335125
+         1.42039251328
+         1.42617404461
+         1.43197906017
+         1.43780851364
+         1.44366192818
+         1.44953811169
+         1.45543813705
+         1.46136331558
+         1.46731245518
+         1.47328484058
+         1.47928166389
+         1.48530375957
+         1.49135053158
+         1.49742078781
+         1.50351583958
+         1.50963652134
+         1.51578223705
+         1.52195203304
+         1.52814686298
+         1.53436803818
+         1.54061436653
+         1.54688513279
+         1.55318152905
+         1.55950450897
+         1.56585323811
+         1.57222664356
+         1.57862627506
+         1.58505284786
+         1.59150564671
+         1.5979834795
+         1.60448789597
+         1.61101973057
+         1.61757814884
+         1.62416231632
+         1.63077318668
+         1.63741207123
+         1.64407801628
+         1.65076982975
+         1.65748906136
+         1.66423666477
+         1.67101180553
+         1.67781341076
+         1.68464255333
+         1.69150078297
+         1.69838678837
+         1.70529985428
+         1.71224093437
+         1.71921157837
+         1.72621035576
+         1.73323667049
+         1.74029147625
+         1.74737620354
+         1.75448977947
+         1.76163113117
+         1.76880168915
+         1.77600228786
+         1.78323256969
+         1.7904907465
+         1.79777860641
+         1.80509734154
+         1.81244599819
+         1.81982314587
+         1.8272305727
+         1.83466911316
+         1.8421381712
+         1.84963607788
+         1.85716485977
+         1.86472535133
+         1.8723167181
+         1.87993764877
+         1.88758957386
+         1.89527380466
+         1.90298950672
+         1.91073536873
+         1.91851270199
+         1.92632293701
+         1.93416500092
+         1.94203770161
+         1.9499424696
+         1.95788061619
+         1.96585118771
+         1.97385287285
+         1.98188710213
+         1.98995542526
+         1.99805641174
+         2.00618934631
+         2.01435494423
+         2.02255535126
+         2.03078937531
+         2.03905510902
+         2.0473549366
+         2.05568981171
+         2.06405830383
+         2.07245993614
+         2.08089542389
+         2.08936667442
+         2.09787249565
+         2.10641145706
+         2.11498522758
+         2.12359523773
+         2.13224053383
+         2.14091944695
+         2.14963388443
+         2.15838503838
+         2.16717147827
+         2.17599272728
+         2.18484973907
+         2.19374418259
+         2.20267510414
+         2.21164059639
+         2.2206428051
+         2.22968292236
+         2.23875999451
+         2.24787259102
+         2.25702214241
+         2.26621031761
+         2.27543616295
+         2.28469800949
+         2.29399752617
+         2.30333638191
+         2.31271314621
+         2.32212662697
+         2.33157849312
+         2.34107017517
+         2.35060095787
+         2.36016869545
+         2.36977529526
+         2.37942242622
+         2.38910913467
+         2.39883351326
+         2.40859770775
+         2.41840291023
+         2.42824840546
+         2.43813228607
+         2.44805622101
+         2.45802211761
+         2.4680287838
+         2.47807431221
+         2.48816108704
+         2.49829053879
+         2.50846076012
+         2.51867103577
+         2.52892279625
+         2.53921818733
+         2.54955530167
+         2.55993294716
+         2.57035279274
+         2.58081674576
+         2.59132289886
+         2.6018705368
+         2.61246109009
+         2.62309622765
+         2.6337749958
+         2.64449524879
+         2.6552593708
+         2.66606879234
+         2.67692255974
+         2.6878182888
+         2.69875860214
+         2.7097454071
+         2.72077655792
+         2.73185110092
+         2.74297070503
+         2.7541372776
+         2.76534938812
+         2.77660512924
+         2.78790712357
+         2.79925656319
+         2.81065225601
+         2.82209253311
+         2.83357954025
+         2.84511494637
+         2.85669732094
+         2.86832499504
          2.88000011444
-         2.92721629143
-         2.97520637512
-         3.02398324013
-         3.07355976105
-         3.12394881248
-         3.17516422272
-         3.22721934319
-         3.28012776375
-         3.33390331268
-         3.38856101036
-         3.44411444664
-         3.50057911873
-         3.5579688549
-         3.61629962921
-         3.67558717728
-         3.73584604263
-         3.79709339142
-         3.85934448242
-         3.92261648178
-         3.98692560196
-         4.05228853226
-         4.11872386932
-         4.18624830246
-         4.25487947464
-         4.32463550568
-         4.39553546906
-         4.46759796143
-         4.54084205627
-         4.61528635025
-         4.69095134735
-         4.7678565979
-         4.84602308273
-         4.92547082901
-         5.0062212944
-         5.08829545975
-         5.17171525955
-         5.25650262833
-         5.34267997742
-         5.43027019501
-         5.51929664612
-         5.60978221893
-         5.70175123215
-         5.79522848129
-         5.89023828506
-         5.986805439
-         6.08495521545
-         6.184715271
-         6.28610992432
-         6.38916730881
-         6.49391365051
-         6.6003780365
-         6.70858716965
-         6.81857156754
-         6.93036699295
-         7.0439863205
-         7.15946817398
-         7.27684402466
-         7.39614391327
-         7.51739931107
-         7.64064359665
-         7.7659072876
-         7.89322471619
-         8.02262973785
-         8.1541557312
-         8.28783893585
-         8.42371368408
-         8.56181526184
-         8.7021818161
-         8.84484958649
-         8.9898557663
-         9.13723945618
-         9.28703975677
-         9.43929481506
-         9.59404659271
-         9.75133609772
-         9.9112033844
-         10.0736923218
-         10.2388448715
-         10.4067049026
-         10.5773172379
-         10.7507257462
-         10.9269781113
-         11.1061201096
-         11.2881984711
-         11.4732627869
-         11.661359787
-         11.8525419235
-         12.0468568802
-         12.2443590164
-         12.445098877
-         12.6491289139
-         12.8565034866
-         13.067278862
-         13.2815103531
-         13.499253273
-         13.7205657959
-         13.9455070496
-         14.1741352081
-         14.4065122604
-         14.6426992416
-         14.8827581406
-         15.1267518997
-         15.3747472763
-         15.6268072128
-         15.8829994202
-         16.1433944702
-         16.4080543518
-         16.6770553589
-         16.9504680634
-         17.2283592224
-         17.5108089447
-         17.7978897095
-         18.0896759033
-         18.3862457275
-         18.6876773834
-         18.994052887
-         19.3054485321
-         19.6219768524
-         19.9436683655
-         20.2706336975
-         20.6029586792
-         20.9407329559
-         21.2840442657
-         21.6329841614
-         21.9876461029
-         22.3481197357
-         22.7145042419
-         23.0868968964
-         23.4653949738
-         23.8500938416
-         24.241104126
-         24.6385231018
-         25.0424594879
-         25.4530162811
-         25.8703041077
-         26.2944316864
-         26.7255153656
-         27.1636638641
-         27.608997345
-         28.0616321564
-         28.521686554
-         28.9892845154
-         29.464548111
-         29.9476032257
-         30.4385757446
-         30.9375991821
-         31.4448032379
-         31.9603233337
-         32.4842948914
-         33.0168571472
-         33.5581512451
-         34.1083183289
-         34.6675071716
-         35.2358589172
-         35.8135299683
-         36.4006729126
-         36.9974403381
-         37.6039962769
-         38.2204933167
-         38.8470954895
-         39.4839706421
-         40.1312904358
-         40.7892189026
-         41.4579353333
-         42.1376152039
-         42.8284339905
-         43.5305862427
-         44.2442436218
-         44.9696044922
-         45.7068557739
-         46.4561958313
-         47.2178192139
-         47.9919242859
-         48.7787284851
-         49.5784263611
-         50.3912391663
-         51.2173728943
-         52.0570526123
-         52.9104995728
-         53.7779426575
-         54.6595993042
-         55.5557098389
-         56.4665145874
-         57.392250061
-         58.3331680298
-         59.2895088196
-         60.2615242004
-         61.2494812012
-         62.2536315918
-         63.2742424011
-         64.3115921021
-         65.3659439087
-         66.4375839233
-         67.5267868042
-         68.6338500977
-         69.7590637207
-         70.9027252197
-         72.0651321411
-         73.24659729
-         74.4474411011
-         75.6679611206
-         76.908493042
-         78.1693725586
-         79.4509124756
-         80.7534637451
-         82.0773696899
-         83.4229812622
-         84.7906570435
-         86.1807556152
-         87.5936431885
-         89.0296859741
-         90.4892807007
-         91.9728012085
-         93.4806518555
-         95.0132064819
-         96.570892334
-         98.1541213989
-         99.7632980347
-         101.398872375
-         103.06124115
-         104.75087738
-         106.468200684
-         108.213691711
-         109.987792969
-         111.790977478
-         113.623733521
-         115.486526489
-         117.379867554
-         119.304244995
-         121.260169983
-         123.248161316
-         125.268745422
-         127.322463989
-         129.409835815
-         131.531448364
-         133.687835693
-         135.879562378
-         138.10723877
-         140.371414185
-         142.672729492
-         145.011764526
-         147.389160156
-         149.805526733
-         152.261505127
-         154.757736206
-         157.295120239
-         159.873886108
-         162.494934082
-         165.158935547
-         167.866622925
-         170.61869812
-         173.415893555
-         176.258956909
-         179.148635864
-         182.085678101
-         185.070861816
-         188.104995728
-         191.188873291
-         194.323303223
-         197.509140015
-         200.747177124
-         204.038314819
-         207.383407593
-         210.783355713
-         214.239013672
-         217.751342773
-         221.321258545
-         224.949691772
-         228.637619019
-         232.386001587
-         236.195846558
-         240.068161011
-         244.003921509
-         248.004241943
-         252.070129395
-         256.202667236
-         260.402954102
-         264.672119141
-         269.011291504
-         273.421569824
-         277.904174805
-         282.460235596
-         287.091033936
-         291.797729492
-         296.581573486
-         301.443878174
-         306.385864258
-         311.408905029
-         316.514282227
-         321.703338623
-         326.977508545
-         332.338104248
-         337.786590576
-         343.324432373
-         348.953033447
-         354.673919678
-         360.488616943
-         366.398620605
-         372.405517578
-         378.510925293
-         384.716400146
-         391.023590088
-         397.434204102
-         403.949890137
-         410.57244873
-         417.30355835
-         424.145019531
-         431.098602295
-         438.166259766
-         445.350341797
-         452.651580811
-         460.072540283
-         467.615203857
-         475.281494141
-         483.073425293
-         490.993164062
-         499.042724609
-         507.224243164
-         515.539916992
-         523.991882324
-         532.582458496
-         541.313842773
-         550.188415527
-         559.208435059
-         568.376342773
-         577.694580078
-         587.165527344
-         596.791809082
-         606.575866699
-         616.520263672
-         626.627807617
-         636.901000977
-         647.342651367
-         657.955505371
-         668.74230957
-         679.705932617
-         690.849365234
-         702.175415039
-         713.687194824
-         725.387695312
+         2.89172458649
+         2.90349674225
+         2.91531300545
+         2.9271812439
+         2.93909788132
+         2.95106267929
+         2.96307659149
+         2.9751355648
+         2.98724722862
+         2.99940800667
+         3.01161503792
+         3.02387499809
+         3.03618526459
+         3.04854559898
+         3.0609562397
+         3.07341337204
+         3.08592510223
+         3.09848809242
+         3.11109757423
+         3.12376308441
+         3.13647961617
+         3.14924836159
+         3.16206884384
+         3.17493748665
+         3.18786287308
+         3.20084047318
+         3.21386671066
+         3.22695040703
+         3.24008727074
+         3.25327777863
+         3.26652193069
+         3.27981567383
+         3.29316735268
+         3.30657410622
+         3.32003068924
+         3.33354663849
+         3.34711742401
+         3.36074376106
+         3.37442517281
+         3.38815808296
+         3.4019510746
+         3.41580033302
+         3.42970132828
+         3.44366359711
+         3.45768284798
+         3.47175908089
+         3.48589277267
+         3.50007915497
+         3.51432800293
+         3.52863478661
+         3.54299521446
+         3.55741858482
+         3.57190084457
+         3.58644199371
+         3.60104250908
+         3.6156976223
+         3.63041687012
+         3.64519643784
+         3.66003108025
+         3.67493104935
+         3.68989157677
+         3.70491337776
+         3.71999597549
+         3.73513507843
+         3.75034093857
+         3.7656083107
+         3.78093338013
+         3.79632544518
+         3.81178021431
+         3.82729792595
+         3.84287858009
+         3.85851812363
+         3.87422609329
+         3.88999795914
+         3.90582895279
+         3.92172956467
+         3.93769526482
+         3.95372533798
+         3.96982097626
+         3.98597669601
+         4.00220394135
+         4.01849651337
+         4.03485059738
+         4.05127620697
+         4.0677690506
+         4.08432912827
+         4.10095643997
+         4.11764574051
+         4.13440895081
+         4.15123987198
+         4.16813421249
+         4.18510246277
+         4.20214033127
+         4.21924686432
+         4.23642349243
+         4.25366449356
+         4.27098083496
+         4.2883682251
+         4.30582046509
+         4.32334947586
+         4.34094953537
+         4.35862159729
+         4.37636566162
+         4.39417600632
+         4.41206455231
+         4.43002605438
+         4.4480547905
+         4.46616315842
+         4.48434448242
+         4.50260066986
+         4.52093029022
+         4.53932905197
+         4.5578083992
+         4.57636356354
+         4.59498786926
+         4.61369371414
+         4.6324763298
+         4.65133523941
+         4.6702709198
+         4.68927717209
+         4.70836734772
+         4.72753477097
+         4.74677419662
+         4.7660984993
+         4.78550100327
+         4.80498313904
+         4.82454395294
+         4.84417819977
+         4.86389875412
+         4.88369989395
+         4.90357494354
+         4.92353725433
+         4.94358110428
+         4.96370649338
+         4.98391342163
+         5.00419664383
+         5.02456855774
+         5.04502344131
+         5.06555509567
+         5.08617687225
+         5.10688257217
+         5.12767267227
+         5.14854764938
+         5.16950035095
+         5.19054555893
+         5.21167612076
+         5.23288583755
+         5.25418901443
+         5.27557849884
+         5.29705572128
+         5.31862020493
+         5.34026479721
+         5.36200523376
+         5.38383388519
+         5.40574455261
+         5.4277510643
+         5.44984722137
+         5.47203350067
+         5.49431037903
+         5.51667022705
+         5.53912878036
+         5.56167840958
+         5.5843129158
+         5.60704612732
+         5.62987279892
+         5.65279197693
+         5.67580413818
+         5.6989030838
+         5.7221031189
+         5.74539756775
+         5.76877975464
+         5.79226446152
+         5.81584453583
+         5.83952045441
+         5.86329364777
+         5.88715553284
+         5.91112184525
+         5.93518638611
+         5.95934009552
+         5.98360061646
+         6.00795984268
+         6.0324177742
+         6.05697584152
+         6.08162546158
+         6.10638427734
+         6.13124322891
+         6.15619516373
+         6.18125724792
+         6.20642137527
+         6.23168706894
+         6.2570567131
+         6.28252077103
+         6.30809736252
+         6.33377695084
+         6.35955381393
+         6.3854432106
+         6.41143798828
+         6.43753957748
+         6.4637465477
+         6.49005126953
+         6.51647281647
+         6.54300117493
+         6.56962871552
+         6.59637451172
+         6.62322759628
+         6.65019083023
+         6.67726373672
+         6.7044377327
+         6.73173189163
+         6.75913667679
+         6.78664398193
+         6.81427240372
+         6.84201335907
+         6.86986732483
+         6.89783430099
+         6.92590665817
+         6.9541015625
+         6.98241186142
+         7.01082801819
+         7.03936910629
+         7.06802654266
+         7.0968003273
+         7.12569093704
+         7.15468978882
+         7.18381690979
+         7.21306228638
+         7.24241733551
+         7.27190113068
+         7.30150508881
+         7.3312292099
+         7.36107444763
+         7.3910317421
+         7.42112064362
+         7.45133161545
+         7.48165607452
+         7.51211452484
+         7.54269599915
+         7.57340240479
+         7.60423326492
+         7.63518047333
+         7.66626262665
+         7.69747209549
+         7.72879838943
+         7.76026248932
+         7.79185438156
+         7.823574543
+         7.85542488098
+         7.88739347458
+         7.91950321198
+         7.95174312592
+         7.98410415649
+         8.01660823822
+         8.049243927
+         8.08201122284
+         8.11491394043
+         8.14793872833
+         8.18110942841
+         8.21441364288
+         8.24784374237
+         8.2814207077
+         8.31513500214
+         8.348985672
+         8.38297367096
+         8.41708946228
+         8.45135593414
+         8.48576164246
+         8.52029514313
+         8.55498123169
+         8.58980846405
+         8.62477779388
+         8.65988922119
+         8.69513225555
+         8.73052978516
+         8.76607227325
+         8.80174732208
+         8.8375787735
+         8.87355709076
+         8.90968132019
+         8.94595241547
+         8.9823589325
+         9.01892662048
+         9.05564212799
+         9.09249591827
+         9.12951087952
+         9.16667747498
+         9.20399475098
+         9.24146461487
+         9.27907466888
+         9.31684970856
+         9.35477733612
+         9.39284896851
+         9.4310874939
+         9.4694814682
+         9.50803184509
+         9.54673862457
+         9.58559036255
+         9.6246137619
+         9.66379547119
+         9.70312309265
+         9.74262428284
+         9.78228759766
+         9.82211112976
+         9.86209583282
+         9.9022321701
+         9.94254398346
+         9.9830198288
+         10.0236473083
+         10.0644540787
+         10.1054258347
+         10.1465654373
+         10.187871933
+         10.2293338776
+         10.2709760666
+         10.312789917
+         10.3547592163
+         10.3969135284
+         10.439239502
+         10.4817371368
+         10.5244083405
+         10.5672388077
+         10.6102581024
+         10.6534528732
+         10.696808815
+         10.7403554916
+         10.7840795517
+         10.8279809952
+         10.8720617294
+         10.9163074493
+         10.9607486725
+         11.0053691864
+         11.050157547
+         11.0951423645
+         11.1403112411
+         11.1856632233
+         11.2312002182
+         11.2769069672
+         11.3228149414
+         11.3689098358
+         11.415178299
+         11.461648941
+         11.5083093643
+         11.5551595688
+         11.6022005081
+         11.6494178772
+         11.6968431473
+         11.7444610596
+         11.7922563553
+         11.8402633667
+         11.888463974
+         11.9368619919
+         11.9854564667
+         12.0342330933
+         12.0832252502
+         12.1324157715
+         12.1817903519
+         12.2313833237
+         12.2811775208
+         12.3311729431
+         12.3813743591
+         12.4317617416
+         12.4823713303
+         12.5331869125
+         12.584192276
+         12.6354227066
+         12.6868629456
+         12.7385110855
+         12.7903690338
+         12.842420578
+         12.8947019577
+         12.9471969604
+         12.9998874664
+         13.0528106689
+         13.1059484482
+         13.1593017578
+         13.2128744125
+         13.2666454315
+         13.3206539154
+         13.3748826981
+         13.429312706
+         13.4839839935
+         13.5388774872
+         13.5939941406
+         13.6493349075
+         13.7048835754
+         13.7606754303
+         13.816696167
+         13.8729257584
+         13.9294023514
+         13.9861087799
+         14.0430450439
+         14.1002149582
+         14.1575984955
+         14.2152338028
+         14.2731046677
+         14.3311901093
+         14.3895330429
+         14.4481124878
+         14.5069303513
+         14.5659885406
+         14.6252670288
+         14.6848058701
+         14.7445878983
+         14.8045940399
+         14.8648633957
+         14.9253778458
+         14.9861392975
+         15.0471477509
+         15.1083850861
+         15.1698913574
+         15.2316474915
+         15.2936353683
+         15.3558950424
+         15.4184103012
+         15.48117733
+         15.5442018509
+         15.6074609756
+         15.670999527
+         15.7347955704
+         15.798830986
+         15.8631477356
+         15.9277267456
+         15.9925680161
+         16.057674408
+         16.1230239868
+         16.188659668
+         16.2545642853
+         16.3207149506
+         16.3871574402
+         16.453868866
+         16.5208530426
+         16.5881080627
+         16.6556167603
+         16.7234210968
+         16.7915019989
+         16.8598384857
+         16.9284744263
+         16.9973888397
+         17.0665874481
+         17.1360645294
+         17.2058029175
+         17.2758483887
+         17.3461761475
+         17.4167709351
+         17.4876747131
+         17.5588665009
+         17.6303482056
+         17.7021217346
+         17.7741622925
+         17.8465213776
+         17.9191741943
+         17.992099762
+         18.0653457642
+         18.1388893127
+         18.2127323151
+         18.2868766785
+         18.3612976074
+         18.4360466003
+         18.511100769
+         18.586435318
+         18.6620998383
+         18.738073349
+         18.8143558502
+         18.8909492493
+         18.9678287506
+         19.0450458527
+         19.1225776672
+         19.2004013062
+         19.2785663605
+         19.3570480347
+         19.4358520508
+         19.5149745941
+         19.5943946838
+         19.6741638184
+         19.7542572021
+         19.8346500397
+         19.915397644
+         19.996471405
+         20.0778770447
+         20.159614563
+         20.2416572571
+         20.3240604401
+         20.4068012238
+         20.4898490906
+         20.5732631683
+         20.6570167542
+         20.7411117554
+         20.825548172
+         20.9103012085
+         20.9954280853
+         21.0809001923
+         21.1666927338
+         21.2528610229
+         21.3393821716
+         21.4262542725
+         21.5134811401
+         21.6010341644
+         21.6889705658
+         21.7772674561
+         21.8658924103
+         21.954908371
+         22.0442867279
+         22.1340293884
+         22.2241363525
+         22.3145828247
+         22.405424118
+         22.496635437
+         22.5881900787
+         22.680147171
+         22.7724761963
+         22.8651828766
+         22.9582672119
+         23.051700592
+         23.1455440521
+         23.2397708893
+         23.3343467712
+         23.4293422699
+         23.524723053
+         23.6204910278
+         23.7166519165
+         23.8131694794
+         23.910112381
+         24.0074520111
+         24.1051521301
+         24.2032852173
+         24.3018169403
+         24.4007492065
+         24.5000839233
+         24.5997905731
+         24.6999359131
+         24.800491333
+         24.9014205933
+         25.0027942657
+         25.1045799255
+         25.20677948
+         25.3093967438
+         25.4123973846
+         25.5158519745
+         25.6197280884
+         25.723991394
+         25.8287124634
+         25.9338607788
+         26.0394382477
+         26.1454429626
+         26.2518482208
+         26.3587188721
+         26.4660243988
+         26.5737342834
+         26.6819133759
+         26.7905349731
+         26.8995990753
+         27.0091094971
+         27.1190261841
+         27.229429245
+         27.3402805328
+         27.451543808
+         27.5633010864
+         27.6755084991
+         27.7881774902
+         27.9013023376
+         28.0148525238
+         28.128900528
+         28.2434120178
+         28.3583526611
+         28.4738006592
+         28.589717865
+         28.7061061859
+         28.8229675293
+         28.9402694702
+         29.0580844879
+         29.1763782501
+         29.2951164246
+         29.4143791199
+         29.5341243744
+         29.6543560028
+         29.7750797272
+         29.8962554932
+         30.0179615021
+         30.140165329
+         30.2628250122
+         30.3860263824
+         30.509727478
+         30.6339321136
+         30.7586402893
+         30.8838195801
+         31.0095462799
+         31.1357879639
+         31.2624988556
+         31.3897705078
+         31.5175571442
+         31.6458644867
+         31.7746944427
+         31.904006958
+         32.0338859558
+         32.1642990112
+         32.2951965332
+         32.4266700745
+         32.5586776733
+         32.6912231445
+         32.8243103027
+         32.9578971863
+         33.0920677185
+         33.2267837524
+         33.3620071411
+         33.4978218079
+         33.6341934204
+         33.7711181641
+         33.9085960388
+         34.0465927124
+         34.1851959229
+         34.3243675232
+         34.4640541077
+         34.6043586731
+         34.7452354431
+         34.886680603
+         35.0287017822
+         35.171257019
+         35.3144416809
+         35.4582061768
+         35.6025085449
+         35.7474479675
+         35.8929748535
+         36.0390930176
+         36.1858100891
+         36.3330726624
+         36.4809875488
+         36.6294975281
+         36.7785682678
+         36.9282951355
+         37.07862854
+         37.2295761108
+         37.3811378479
+         37.5332679749
+         37.6860656738
+         37.8394851685
+         37.9934806824
+         38.1481513977
+         38.3034515381
+         38.4593849182
+         38.6159515381
+         38.7731056213
+         38.9309501648
+         39.0894393921
+         39.2485198975
+         39.4083023071
+         39.5687332153
+         39.7298164368
+         39.8915557861
+         40.0539016724
+         40.216960907
+         40.3806800842
+         40.5450172424
+         40.7100753784
+         40.8758087158
+         41.0422134399
+         41.2092971802
+         41.3770027161
+         41.5454483032
+         41.7145805359
+         41.8843460083
+         42.0548553467
+         42.2260627747
+         42.3979644775
+         42.57056427
+         42.743812561
+         42.9178237915
+         43.092540741
+         43.2679138184
+         43.4440574646
+         43.6209182739
+         43.798500061
+         43.9768028259
+         44.1557731628
+         44.3355331421
+         44.5160217285
+         44.6971855164
+         44.8791503906
+         45.0618515015
+         45.245300293
+         45.4294891357
+         45.6143722534
+         45.8000717163
+         45.9865226746
+         46.1736717224
+         46.3616409302
+         46.5503807068
+         46.7398910522
+         46.9301681519
+         47.1211585999
+         47.3129882812
+         47.5055999756
+         47.698928833
+         47.8931121826
+         48.0880813599
+         48.2838554382
+         48.4804153442
+         48.6777153015
+         48.8758811951
+         49.0748519897
+         49.2745742798
+         49.4751663208
+         49.6765785217
+         49.8788146973
+         50.0818710327
+         50.2856903076
+         50.4904022217
+         50.6959457397
+         50.9022636414
+         51.1094894409
+         51.3175544739
+         51.5264625549
+         51.7362289429
+         51.9467773438
+         52.1582527161
+         52.3705940247
+         52.5837211609
+         52.7977905273
+         53.0127258301
+         53.2285423279
+         53.4452362061
+         53.6627388
+         53.8812026978
+         54.1005477905
+         54.3207206726
+         54.5418624878
+         54.7639045715
+         54.9868431091
+         55.2106971741
+         55.4353866577
+         55.6610641479
+         55.8876571655
+         56.1151008606
+         56.3435440063
+         56.5729217529
+         56.8032302856
+         57.0344772339
+         57.2665901184
+         57.4997177124
+         57.7337989807
+         57.9687576294
+         58.204750061
+         58.441696167
+         58.6796188354
+         58.9184989929
+         59.1582794189
+         59.3991127014
+         59.6409263611
+         59.883644104
+         60.1274299622
+         60.3722114563
+         60.6179847717
+         60.8647613525
+         61.1124572754
+         61.3612480164
+         61.6110496521
+         61.8617858887
+         62.1136245728
+         62.3664855957
+         62.6203804016
+         62.8753089905
+         63.1311912537
+         63.3881988525
+         63.6462516785
+         63.9052696228
+         64.1654281616
+         64.4266433716
+         64.6889266968
+         64.9522705078
+         65.2166061401
+         65.4821090698
+         65.7486801147
+         66.0162582397
+         66.2850112915
+         66.5548553467
+         66.8257980347
+         67.0978469849
+         67.3709106445
+         67.6451797485
+         67.9205627441
+         68.196975708
+         68.4746017456
+         68.753364563
+         69.0332565308
+         69.3142929077
+         69.5963821411
+         69.8797073364
+         70.1641845703
+         70.4497299194
+         70.7365341187
+         71.0244979858
+         71.3136444092
+         71.6039581299
+         71.895362854
+         72.1880493164
+         72.4819259644
+         72.7769088745
+         73.0731811523
+         73.3706588745
+         73.6693496704
+         73.9692611694
+         74.2702865601
+         74.5726470947
+         74.8762283325
+         75.1809539795
+         75.4870071411
+         75.7943191528
+         76.1028747559
+         76.412689209
+         76.7236633301
+         77.0360031128
+         77.3496170044
+         77.6644058228
+         77.9805755615
+         78.298034668
+         78.6167907715
+         78.9368362427
+         79.2580795288
+         79.5807418823
+         79.9047164917
+         80.2298965454
+         80.5565185547
+         80.8844604492
+         81.2137451172
+         81.5443649292
+         81.8762207031
+         82.2095413208
+         82.5442123413
+         82.8801422119
+         83.2175445557
+         83.5563278198
+         83.896484375
+         84.23802948
+         84.5808410645
+         84.9251708984
+         85.2708969116
+         85.6179275513
+         85.9664764404
+         86.316444397
+         86.6678390503
+         87.0206680298
+         87.3748092651
+         87.7305145264
+         88.0876617432
+         88.4461517334
+         88.8062133789
+         89.1677474976
+         89.53074646
+         89.8952178955
+         90.2610626221
+         90.6285171509
+         90.997467041
+         91.3677978516
+         91.7397537231
+         92.1132278442
+         92.4882202148
+         92.8647460938
+         93.2426757812
+         93.6222610474
+         94.00340271
+         94.3859558105
+         94.7702026367
+         95.1560058594
+         95.5433883667
+         95.9323425293
+         96.3227539062
+         96.7148895264
+         97.1086196899
+         97.5038223267
+         97.9007568359
+         98.2993087769
+         98.6994857788
+         99.1012878418
+         99.5045928955
+         99.9096832275
+         100.31640625
+         100.72467041
+         101.134712219
+         101.546440125
+         101.959831238
+         102.374908447
+         102.791542053
+         103.210006714
+         103.630172729
+         104.0519104
+         104.475502014
+         104.9008255
+         105.32787323
+         105.756660461
+         106.187065125
+         106.619354248
+         107.053390503
+         107.489059448
+         107.926651001
+         108.366027832
+         108.807182312
+         109.250137329
+         109.694747925
+         110.141319275
+         110.589698792
+         111.039756775
+         111.491798401
+         111.94568634
+         112.401412964
+         112.85900116
+         113.31829834
+         113.77961731
+         114.24281311
+         114.707740784
+         115.174713135
+         115.643600464
+         116.114372253
+         116.587081909
+         117.061546326
+         117.538101196
+         118.016601562
+         118.496894836
+         118.979293823
+         119.463653564
+         119.949996948
+         120.438308716
+         120.928451538
+         121.42074585
+         121.915054321
+         122.411209106
+         122.909553528
+         123.409912109
+         123.912315369
+         124.416755676
+         124.923095703
+         125.431648254
+         125.94228363
+         126.454826355
+         126.96962738
+         127.48651886
+         128.005508423
+         128.526626587
+         129.049682617
+         129.575042725
+         130.102539062
+         130.632019043
+         131.163818359
+         131.697784424
+         132.233932495
+         132.772247314
+         133.312591553
+         133.855300903
+         134.400222778
+         134.947189331
+         135.496566772
+         136.048171997
+         136.602020264
+         137.158126831
+         137.716323853
+         138.27696228
+         138.839874268
+         139.404922485
+         139.972442627
+         140.542266846
+         141.1144104
+         141.68888855
+         142.265518188
+         142.844665527
+         143.426193237
+         144.009887695
+         144.596160889
+         145.184799194
+         145.775848389
+         146.369308472
+         146.964981079
+         147.563278198
+         148.164001465
+         148.766983032
+         149.37260437
+         149.980712891
+         150.591278076
+         151.204330444
+         151.81968689
+         152.437744141
+         153.058303833
+         153.681213379
+         154.306854248
+         154.935028076
+         155.565765381
+         156.199081421
+         156.834747314
+         157.473236084
+         158.114303589
+         158.757781982
+         159.404083252
+         160.053009033
+         160.704589844
+         161.358810425
+         162.015487671
+         162.675048828
+         163.337310791
+         164.002029419
+         164.669677734
+         165.340042114
+         166.013153076
+         166.688995361
+         167.367355347
+         168.048706055
+         168.732833862
+         169.419525146
+         170.109222412
+         170.801742554
+         171.497070312
+         172.195236206
+         172.896011353
+         173.599884033
+         174.306594849
+         175.015975952
+         175.72845459
+         176.443847656
+         177.162155151
+         177.883377075
+         178.607299805
+         179.334411621
+         180.064483643
+         180.797286987
+         181.533309937
+         182.272338867
+         183.014358521
+         183.759414673
+         184.507263184
+         185.258377075
+         186.012557983
+         186.769592285
+         187.529907227
+         188.29335022
+         189.059875488
+         189.829544067
+         190.602096558
+         191.378036499
+         192.157119751
+         192.939163208
+         193.724609375
+         194.513259888
+         195.305130005
+         196.100204468
+         196.898269653
+         197.69984436
+         198.504669189
+         199.312515259
+         200.123931885
+         200.93862915
+         201.756652832
+         202.577987671
+         203.402420044
+         204.23046875
+         205.061889648
+         205.896438599
+         206.734619141
+         207.576248169
+         208.421295166
+         209.269760132
+         210.121429443
+         210.976837158
+         211.835723877
+         212.6978302
+         213.563705444
+         214.433135986
+         215.306091309
+         216.182601929
+         217.062393188
+         217.946044922
+         218.833297729
+         219.723892212
+         220.618377686
+         221.51651001
+         222.418304443
+         223.323760986
+         224.232620239
+         225.145462036
+         226.062042236
+         226.982025146
+         227.906066895
+         228.833892822
+         229.765457153
+         230.700836182
+         231.639709473
+         232.582733154
+         233.529556274
+         234.47996521
+         235.434509277
+         236.392959595
+         237.355316162
+         238.321594238
+         239.291488647
+         240.265640259
+         241.243759155
+         242.225540161
+         243.211654663
+         244.201766968
+         245.195892334
+         246.194091797
+         247.196014404
+         248.202346802
+         249.212783813
+         250.226989746
+         251.245666504
+         252.268493652
+         253.295471191
+         254.326644897
+         255.361679077
+         256.401245117
+         257.445068359
+         258.492767334
+         259.54510498
+         260.60168457
+         261.662597656
+         262.727844238
+         263.797027588
+         264.870941162
+         265.949249268
+         267.031585693
+         268.118682861
+         269.210174561
+         270.306121826
+         271.406555176
+         272.511077881
+         273.620452881
+         274.734375
+         275.85244751
+         276.975463867
+         278.102996826
+         279.235168457
+         280.371948242
+         281.512969971
+         282.658996582
+         283.809692383
+         284.96472168
+         286.124786377
+         287.289611816
+         288.459136963
+         289.633483887
+         290.812194824
+         291.99609375
+         293.184783936
+         294.377960205
+         295.576385498
+         296.779663086
+         297.987854004
+         299.200958252
+         300.418609619
+         301.641601562
+         302.869598389
+         304.102172852
+         305.340179443
+         306.583221436
+         307.831298828
+         309.084503174
+         310.342346191
+         311.605773926
+         312.874298096
+         314.147613525
+         315.426513672
+         316.710601807
+         317.999908447
+         319.294494629
+         320.593933105
+         321.899047852
+         323.209503174
+         324.524871826
+         325.846008301
+         327.172515869
+         328.504425049
+         329.841766357
+         331.184112549
+         332.53237915
+         333.886108398
+         335.244903564
+         336.609710693
+         337.980041504
+         339.355957031
+         340.737457275
+         342.124145508
+         343.516937256
+         344.915374756
+         346.319091797
+         347.728942871
+         349.144561768
+         350.565917969
+         351.99307251
+         353.425567627
+         354.864379883
+         356.308990479
+         357.759063721
+         359.215515137
+         360.677856445
+         362.146179199
+         363.620483398
+         365.100311279
+         366.586639404
+         368.078979492
+         369.576965332
+         371.081481934
+         372.592163086
+         374.109008789
+         375.631988525
+         377.160705566
+         378.696105957
+         380.237762451
+         381.785186768
+         383.339447021
+         384.900054932
+         386.466949463
+         388.040252686
+         389.619476318
+         391.205596924
+         392.798217773
+         394.396759033
+         396.002349854
+         397.614471436
+         399.233154297
+         400.858428955
+         402.489776611
+         404.128326416
+         405.773529053
+         407.424865723
+         409.083496094
+         410.748901367
+         412.421051025
+         414.100006104
+         415.785247803
+         417.477935791
+         419.177490234
+         420.883392334
+         422.596832275
+         424.317199707
+         426.044586182
+         427.779022217
+         429.519927979
+         431.268493652
+         433.024200439
+         434.786468506
+         436.556488037
+         438.333679199
+         440.118164062
+         441.909851074
+         443.708282471
+         445.51461792
+         447.328308105
+         449.148803711
+         450.977264404
+         452.813232422
+         454.656585693
+         456.507537842
+         458.365356445
+         460.231323242
+         462.104919434
+         463.985565186
+         465.874420166
+         467.771026611
+         469.675292969
+         471.587371826
+         473.506530762
+         475.434204102
+         477.369689941
+         479.312408447
+         481.26373291
+         483.222930908
+         485.190093994
+         487.165313721
+         489.147949219
+         491.139251709
+         493.138671875
+         495.145568848
+         497.161346436
+         499.185272217
+         501.217437744
+         503.257904053
+         505.305999756
+         507.363098145
+         509.428588867
+         511.501739502
+         513.584106445
+         515.674865723
+         517.774169922
+         519.882080078
+         521.997802734
+         524.12286377
+         526.256591797
+         528.398254395
+         530.549377441
+         532.709228516
+         534.877868652
+         537.055358887
+         539.241027832
+         541.436218262
+         543.640380859
+         545.852905273
+         548.075012207
+         550.306274414
+         552.546569824
+         554.795898438
+         557.053771973
+         559.321533203
+         561.598510742
+         563.884094238
+         566.179626465
+         568.484558105
+         570.798828125
+         573.122558594
+         575.454956055
+         577.797668457
+         580.149841309
+         582.510864258
+         584.882324219
+         587.263366699
+         589.65411377
+         592.05456543
+         594.464050293
+         596.884094238
+         599.313964844
+         601.752990723
+         604.202758789
+         606.662475586
+         609.132141113
+         611.611938477
+         614.101013184
+         616.601013184
+         619.11114502
+         621.63079834
+         624.161376953
+         626.702392578
+         629.253662109
+         631.815368652
+         634.386657715
+         636.969238281
+         639.56237793
+         642.165161133
+         644.779418945
+         647.40423584
+         650.039855957
+         652.686157227
+         655.342346191
+         658.010314941
+         660.689086914
+         663.377807617
+         666.078430176
+         668.790039062
+         671.512634277
+         674.246398926
+         676.990356445
+         679.746398926
+         682.51361084
+         685.29119873
+         688.081054688
+         690.882202148
+         693.694824219
+         696.518798828
+         699.353393555
+         702.200500488
+         705.059143066
+         707.928527832
+         710.81048584
+         713.704223633
+         716.609680176
+         719.526977539
+         722.455200195
+         725.396362305
+         728.34942627
+         731.313598633
+         734.290710449
          737.280029297
 }