[0.07328133,0.080328755,0.10152165,0.14062597,0.19645198,0.25993136,0.31968355,0.36497605,0.390182,0.39438972,0.38420144,0.37075984,0.36346853,0.36056313,0.3488284,0.31359673,0.25302824,0.18060856,0.11594668,0.07065885,0.045103256,0.033290613,0.03127907,0.039675284,0.062163305,0.10267506,0.16446845,0.25076163,0.36288452,0.49385217,0.6207242,0.70578974,0.7141681,0.63643736,0.5003877,0.3560749,0.25042716,0.206024,0.21967916,0.2706685,0.3330617,0.38462877,0.41355717,0.41784647,0.40290013,0.37433687,0.3389795,0.301787,0.26987383,0.2470039,0.23527081,0.23110689,0.230403,0.2288693,0.22596873,0.22237413,0.21984363,0.21833803,0.21734713,0.21557552,0.21249856,0.20728278,0.19861995,0.18527912,0.16826124,0.15252505,0.14455116,0.14822173,0.1610166,0.17664675,0.18874367,0.19447638,0.19276603,0.18362719,0.16778491,0.14805199,0.12876208,0.113844186,0.10566335,0.10401241,0.1076863,0.11494175,0.12551048,0.13983275,0.15898229,0.18356514,0.21343218,0.24751155,0.2820972,0.31106773,0.3256531,0.31924284,0.29064932,0.24722765,0.20092481,0.16264677,0.13657382,0.12026399,0.107717715,0.09399595,0.07702004,0.05818315,0.04027992,0.026514636,0.019771546,0.024107784,0.043896426,0.079400346,0.1217719,0.15459518,0.16433762,0.15044698,0.12489968,0.102500595,0.090290554,0.087664984,0.08942947,0.09179955,0.09143696,0.08736961,0.07954502,0.0701612,0.06194051,0.059156317,0.06776303,0.094632395,0.14238967,0.20453127,0.26597276,0.31155825,0.33498156,0.34055552,0.33652282,0.32862258,0.31876972,0.30861333,0.30063832,0.2967765,0.29586348,0.29440072,0.28869462,0.2760297,0.25440317,0.22278391,0.18399255,0.14750983,0.12851213,0.14167343,0.1920687,0.269497,0.35027373,0.4077085,0.42589924,0.40815604,0.37437466,0.3474946,0.3398008,0.3477374,0.35938966,0.36525452,0.36437604,0.36168846,0.36284265,0.370332,0.38305187,0.3969624,0.40601107,0.4034995,0.3829898,0.34155318,0.28284022,0.2197715,0.17025983,0.14789887,0.15434246,0.17910127,0.20865387,0.23275729,0.24720554,0.24988484,0.2396199,0.2166522,0.1843279,0.14922328,0.117934994,0.09471566,0.07944459,0.06984732,0.06323179,0.05832903,0.054562554,0.051706284,0.049488008,0.04783358,0.04672724,0.046034604,0.045555096,0.045798343,0.04862733,0.057597775,0.075820304,0.104596555,0.14146538,0.18274717,0.22416878,0.26319227,0.2971356,0.3238661,0.3413187,0.34795317,0.34226504,0.32196113,0.28720018,0.24158804,0.19394904,0.15242366,0.12222016,0.1028213,0.09177077,0.08638716,0.08557453,0.08962368,0.09960619,0.11715432,0.14158545,0.16798122,0.1865384,0.18829978,0.17216717,0.14760284,0.12860374,0.124340735,0.13381004,0.14864275,0.15863802,0.15733391,0.14337476,0.12082541,0.09679472,0.07897367,0.07290668,0.080340594,0.09885184,0.12235105,0.1437126,0.157368,0.16193266,0.15965569,0.15490206,0.15138204,0.15104829,0.15337826,0.1559952,0.15581952,0.15163442,0.14584316,0.14372016,0.149198,0.16066636,0.17115979,0.17381579,0.16766594,0.15768749,0.14909615,0.14223647,0.13342161,0.11985129,0.10310313,0.08853052,0.08316418,0.09441537,0.12763707,0.18241024,0.24934359,0.31321862,0.3608838,0.38681212,0.39369002,0.38538852,0.3651179,0.33295026,0.2916235,0.24590057,0.20381679,0.17102419,0.14889294,0.13414595,0.12258661,0.11234668,0.10371349,0.097630374,0.09395661,0.091696985,0.089738466,0.087127775,0.08335096,0.07735072,0.06835741,0.055939976,0.041817326,0.028550757,0.018854627,0.013465245,0.01171288,0.011979271,0.013026521,0.014174799,0.015341647,0.016603617,0.017976584,0.019243428,0.020108348,0.020341665,0.019955872,0.019134732,0.018112233,0.01705236,0.01601562,0.015009951,0.014020422,0.013061815,0.012138122,0.011215736,0.010225662,0.009133889,0.007992107,0.006907044,0.0059998357,0.0053602126,0.0050291824,0.0049630776,0.0050514783,0.00519786,0.0054053795,0.00578706,0.006437428,0.007333374,0.008340427,0.0094963005,0.0111155985,0.014110099,0.019756429,0.030194754,0.04815182,0.0775536,0.121834815,0.18163401,0.25045633,0.31592214,0.36459306,0.39164963,0.40126494,0.40415573,0.40786788,0.41701803,0.43148735,0.45104194,0.47273943,0.49286142,0.50467914,0.5014199,0.47834513,0.438357,0.39219776,0.35288987,0.32811013,0.31816962,0.32137096,0.3367773,0.3620201,0.38925472,0.40755662,0.40845516,0.39037395,0.3566657,0.31467512,0.2721621,0.23913443,0.2240781,0.2348926,0.27261564,0.33111653,0.3949312,0.4473503,0.47670975,0.4822862,0.47110212,0.45298806,0.4354891,0.42237356,0.41400245,0.40867627,0.40439752,0.39964673,0.39361775,0.38571945,0.37603274,0.3652446,0.35460567,0.34511212,0.33746234,0.33213088,0.3293431,0.32899323,0.33039388,0.3328494,0.33651957,0.34311604,0.35522902,0.37361762,0.39540085,0.41381764,0.4210886,0.41050062,0.37906054,0.32830834,0.26567218,0.20185931,0.14751679,0.10828333,0.083943695,0.069904104,0.06108189,0.05472635,0.05085583,0.051174093,0.05667625,0.06709775,0.08026835,0.093396805,0.103770785,0.110634975,0.115423836,0.120936595,0.12980492,0.14419647,0.16665088,0.19919403,0.24117176,0.28696442,0.32817397,0.35725498,0.37270963,0.3787788,0.38375616,0.3929836,0.406419,0.41888967,0.4261566,0.4291732,0.43130302,0.4350393,0.43649122,0.43107572,0.41408774,0.38625196,0.34965372,0.30932698,0.2700934,0.23687972,0.21101594,0.18989287,0.16824071,0.14366166,0.11942223,0.10245854,0.09723896,0.1016602,0.109644,0.11557034,0.11766494,0.11609054,0.11144421,0.10435187,0.09642884,0.08997945,0.08642558,0.085547395,0.085878916,0.08570706,0.08362944,0.07881535,0.0708131,0.059962228,0.047190428,0.034528542,0.023862531,0.016367061,0.011727112,0.009044291,0.0074986084,0.006692015,0.006404282,0.006463735,0.0067785457,0.0074231685,0.008458148,0.009862543,0.011388902,0.012771458,0.013764046,0.0142973075,0.014358125,0.014011423,0.01337657,0.012630388,0.011944992,0.011338367,0.010770106,0.010167673,0.009578454,0.008990775,0.0083376,0.0074609597,0.0063518435,0.0051580607,0.004142606,0.0034457787,0.003077836,0.00294989,0.003024713,0.0032896476,0.0037601076,0.0043865438,0.0050526224,0.0055329967,0.0056112935,0.005207954,0.0044879825,0.0037512535,0.0032310316,0.0029658452,0.0028503353,0.0028932698,0.003611736,0.0069735306,0.016797489,0.038151767,0.07369266,0.12087873,0.17116164,0.21486045,0.24539779,0.26163828,0.26570427,0.2607617,0.2502028,0.23732404,0.22548996,0.21643607,0.21025948,0.20488532,0.1979543,0.18765183,0.17383093,0.15763505,0.14114517,0.12705673,0.11814014,0.11655898,0.1227358,0.13490428,0.14959466,0.16293286,0.172458,0.17787118,0.18124396,0.18531023,0.19221441,0.2016788,0.21165663,0.2184323,0.21869801,0.20922166,0.18899292,0.15888834,0.1242665,0.093613766,0.078983426,0.09121428,0.13528271,0.20385897,0.27706745,0.33013597,0.34455225,0.31765935,0.2610201,0.1942993,0.13417174,0.08975917,0.060935665,0.043127228,0.03108274,0.02209933,0.015352278,0.011308077,0.010449621,0.013784324,0.021297982,0.031967927,0.042482134,0.04988027,0.051840425,0.048538193,0.040940046,0.031199863,0.021325007,0.01321941,0.007677678,0.004590525,0.0032452804,0.0029273604,0.0030957777,0.0033812795,0.0035691217,0.0036279273,0.003706106,0.004011512,0.004639505,0.005518175,0.0064651133,0.0073205903,0.007951433,0.008268135,0.008223213,0.007859205,0.007276652,0.0066167316,0.006036967,0.005687041,0.0056114406,0.00572329,0.0058449507,0.0058385525,0.0056425366,0.005298549,0.0048770844,0.0044468907,0.0040097167,0.0035717746,0.0031757336,0.0029090743,0.0028116899,0.0028452382,0.0029388145,0.0030420283,0.0031432044,0.003236166,0.003313197,0.0033563625,0.0033497766,0.0032951608,0.003227134,0.0031972285,0.003230203,0.003314647,0.0034271635,0.0035871796,0.0038387093,0.0042358288,0.004785963,0.0054591964,0.006157439,0.006771857,0.00722771,0.0075424165,0.007758086,0.007877213,0.007864442,0.0078865355,0.008721776,0.012152083,0.020944372,0.038140636,0.06590736,0.1042828,0.15019034,0.1976351,0.23893307,0.26771712,0.28054675,0.27823398,0.2644098,0.24465288,0.22411622,0.20758533,0.19990252,0.20681496,0.23058988,0.266108,0.30052796,0.32321945,0.33235624,0.33572587,0.3407825,0.3499675,0.35995087,0.3666284,0.3661841,0.35524622,0.33085215,0.29323694,0.24954365,0.21423161,0.2027871,0.22151852,0.26236492,0.3099694,0.35385534,0.39433646,0.43604347,0.47877768,0.51581734,0.5395946,0.54779536,0.5428477,0.52862877,0.50699866,0.4781123,0.44167542,0.3985401,0.35029748,0.298538,0.24401478,0.18818326,0.13422322,0.08743032,0.05243665,0.031215213,0.022231309,0.021942949,0.026464587,0.032607034,0.038997713,0.047051,0.061915893,0.09083569,0.13818909,0.19994684,0.26255322,0.3096956,0.33055592,0.32344076,0.29245073,0.2449765,0.1929735,0.1538964,0.14441158,0.16848809,0.2123798,0.25266895,0.27383187,0.2773918,0.2763975,0.27996778,0.28498754,0.2808002,0.26097617,0.23007958,0.201622,0.19016783,0.20450544,0.24252097,0.29277936,0.3380785,0.3644416,0.36282137,0.33213973,0.2758623,0.20512505,0.13437472,0.07780822,0.04136667,0.022663781,0.014603562,0.011103881,0.009518862,0.010964189,0.020212049,0.044441883,0.089440554,0.15432161,0.22986667,0.30197462,0.35876846,0.39506826,0.41395605,0.4240453,0.43480024,0.4509319,0.4698794,0.485005,0.49054942,0.48502865,0.46946993,0.44512963,0.4118546,0.3687466,0.31559837,0.25442228,0.19066541,0.13174957,0.084494136,0.052209366,0.035274807,0.032743856,0.043465212,0.064175956,0.089311,0.113538735,0.13717164,0.16566135,0.20390302,0.24860954,0.28905478,0.31470153,0.32273826,0.31891283,0.31143093,0.30605707,0.30317083,0.30027887,0.29289806,0.27809152,0.25460625,0.22548735,0.19606026,0.17267232,0.15867667,0.15393421,0.15548854,0.15978163,0.16350782,0.16378216,0.1590894,0.15015163,0.14001936,0.13115223,0.12377227,0.11550919,0.1051071,0.09456086,0.08982214,0.09652147,0.11479747,0.13624245,0.14757596,0.13935705,0.11233628,0.076811135,0.04485171,0.023700347,0.013556595,0.010768301,0.011223484,0.012399938,0.0132647725,0.013658401,0.013690233,0.013469491,0.013085097,0.012680474,0.012370584,0.012155931,0.011857149,0.011352095,0.010611158,0.009732088,0.008742819,0.00771752,0.0067164623,0.0058568534,0.005132058,0.004514514,0.003953204,0.003485766,0.0031619614,0.003037763,0.003130286,0.003492346,0.0044968785,0.007237786,0.013741258,0.02589859,0.043987196,0.06527763,0.08636177,0.10633597,0.13071181,0.16800176,0.2253145,0.30083883,0.38567686,0.4651293,0.52613395,0.557278,0.5531927,0.5140709,0.45232546,0.39229938,0.36691332,0.39819208,0.48060203,0.5744687,0.62806123,0.60711676,0.51676947,0.39273944,0.27747893,0.19548793,0.1486043,0.12482986,0.11253381,0.10738412,0.11183831,0.12964867,0.16072996,0.19984883,0.23965764,0.27564326,0.3070183,0.33475295,0.35777935,0.3749007,0.38546148,0.39002678,0.3872182,0.3762711,0.36061862,0.34836352,0.34436217,0.34347174,0.3332717,0.3054889,0.26405331,0.223216,0.19850124,0.19897474,0.22411084,0.26507416,0.30846524,0.3421469,0.36002854,0.363247,0.35735878,0.3482034,0.33985338,0.3316264,0.31804132,0.28971994,0.2424686,0.18177481,0.12364557,0.08401876,0.07142782,0.08157783,0.101570904,0.115369104,0.11323449,0.09473389,0.06814891,0.04270175,0.02428201,0.013384889,0.008026724,0.005638883,0.004588759,0.004043048,0.0037537843,0.0036786806,0.0038322099,0.0042054206,0.004734105,0.005315239,0.0058286167,0.006232712,0.0065317457,0.0067805466,0.0069898684,0.007169247,0.007287961,0.007348644,0.007319247,0.007212007,0.0070053157,0.0067499424,0.006467361,0.0062106214,0.0059679244,0.005728882,0.0054646456,0.0051459745,0.004763273,0.004327521,0.0039137173,0.0035830848,0.0033728322,0.0032599054,0.0032029992,0.0031600231,0.003096061,0.0030215643,0.0029809384,0.0030810917,0.004078453,0.008378278,0.020929657,0.04690535,0.08765266,0.13683473,0.18316357,0.21662427,0.23418838,0.23933335,0.23770492,0.23398797,0.2305439,0.22850168,0.22728984,0.22568767,0.22218342,0.2162491,0.20819378,0.19869757,0.188329,0.1772333,0.1651199,0.15116929,0.13474081,0.11640955,0.09860229,0.08475957,0.07750768,0.07726336,0.082090154,0.089284785,0.09717551,0.10669484,0.12034986,0.14013596,0.16518378,0.1918704,0.21581078,0.23357445,0.2440685,0.24752545,0.24529983,0.23818016,0.22685778,0.21227568,0.19637756,0.181643,0.16953315,0.1601594,0.15212888,0.14363046,0.13296877,0.119696915,0.10469078,0.09019301,0.07825962,0.07106968,0.069159485,0.07238716,0.07826192,0.08446023,0.0886764,0.09052974,0.090488784,0.08965757,0.08886695,0.08788895,0.086136304,0.08290339,0.078791045,0.074510485,0.07079986,0.06755582,0.06481825,0.062711164,0.061382324,0.060682636,0.060124595,0.05943447,0.058189794,0.05614015,0.052632306,0.04757187,0.04116654,0.034475174,0.028357431,0.023375021,0.019358521,0.016038066,0.013315554,0.0113718435,0.010324755,0.009998467,0.010005001,0.00999865,0.009835512,0.0095807845,0.009353697,0.009213173,0.00908647,0.008869868,0.00852704,0.008070058,0.0075161713,0.00682773,0.0060447883,0.0052417424,0.0045419154,0.003966113,0.0035151553,0.00317375,0.0029858623,0.0029698377,0.0030844838,0.003228719,0.003349306,0.0035576161,0.004135721,0.005322909,0.007039773,0.008795177,0.009988908,0.0103158625,0.009917647,0.009197265,0.008439804,0.0077309455,0.006948579,0.006085182,0.005247895,0.004696619,0.004551412,0.0047770026,0.0052131205,0.005723314,0.006214705,0.0066150534,0.0069242734,0.0072484133,0.0076933387,0.008214085,0.008533554,0.00838019,0.0076583275,0.006564925,0.005390433,0.0043987944,0.0037301176,0.0034869367,0.0037535147,0.004592964,0.0064028627,0.011408961,0.025510669,0.057874408,0.115216754,0.1938714,0.27660188,0.34070912,0.37338653,0.38243365,0.39238343,0.4258448,0.48565874,0.5511741,0.59394026,0.59677285,0.5618309,0.5046316,0.4447131,0.4006864,0.3856189,0.4008925,0.4338191,0.4647609,0.48021305,0.47712746,0.45839867,0.4235104,0.3699796,0.2990726,0.22195095,0.15383945,0.1063809,0.0819692,0.078003235,0.091088675,0.11850729,0.15495417,0.19185103,0.22079958,0.23822178,0.24628735,0.24980493,0.25287458,0.2581592,0.26729766,0.28074098,0.29676914,0.31191328,0.32295808,0.3282026,0.32698035,0.31792796,0.299324,0.2712718,0.23820579,0.20938914,0.19658746,0.21014345,0.25416926,0.32371417,0.40563846,0.48386574,0.5448952,0.5798161,0.58214885,0.5477259,0.47820124,0.3863628,0.293987,0.22362818,0.18791711,0.18583255,0.20516954,0.2294773,0.24473514,0.24382608,0.22844492,0.20592923,0.18519588,0.17080937,0.16320194,0.15831389,0.15229301,0.14100292,0.123785995,0.10128653,0.07728482,0.054945603,0.037296247,0.024951624,0.017484227,0.01336607,0.011337549,0.010552886,0.0106741125,0.011466651,0.012582791,0.013611958,0.014256434,0.0144691365,0.014371201,0.014101181,0.013722883,0.013242982,0.012710549,0.012206674,0.011809763,0.01151974,0.011271725,0.01096271,0.01046217,0.009664188,0.008554929,0.0072984356,0.006169614,0.0055779084,0.0061589372,0.009402134,0.017989952,0.0363121,0.06891341,0.11844205,0.18124314,0.246347,0.2964288,0.3154503,0.29570004,0.24372445,0.17779927,0.1207807,0.09094434,0.09616848,0.131757,0.1809055,0.21977973,0.22789538,0.19926655,0.14590214,0.08904216,0.046832543,0.026584275,0.026760587,0.04051399,0.059331924,0.074398436,0.08099926,0.08062613,0.081680864,0.09539022,0.1319717,0.19522554,0.27807212,0.36121508,0.41998735,0.43807575,0.41850343,0.38140282,0.34933242,0.33136937,0.32168984,0.30926704,0.29208183,0.27681282,0.27256823,0.2794783,0.29114592,0.29779232,0.2939267,0.27654687,0.24805023,0.21452247,0.18621905,0.16963749,0.16442297,0.16286658,0.15730317,0.14445753,0.1271914,0.11135876,0.102889,0.105497025,0.12062719,0.1475352,0.18315488,0.22153957,0.25479913,0.27544415,0.27773336,0.25902396,0.2206095,0.17084448,0.12314861,0.09115218,0.0809504,0.09055832,0.1129184,0.14082853,0.16817687,0.19078463,0.20713042,0.21858911,0.22758408,0.23504646,0.23984675,0.24066062,0.23776527,0.233365,0.22938262,0.22656149,0.22379051,0.21999587,0.21425463,0.20669834,0.19726785,0.18630646,0.17468636,0.16552164,0.16330302,0.17093398,0.18614192,0.2013243,0.20883034,0.20602377,0.19695961,0.18799002,0.18284856,0.18036157,0.17599785,0.16568847,0.14836895,0.12801631,0.113231085,0.11671362,0.14920534,0.21280885,0.29443884,0.37168655,0.4244411,0.44695017,0.44762936,0.43959308,0.43135896,0.42230868,0.40693998,0.37861708,0.33571124,0.28234354,0.22801566,0.18186402,0.14868332,0.12734325,0.11358396,0.10327572,0.09425613,0.0865309,0.080990545,0.077916384,0.0760295,0.07313679,0.06761736,0.05919597,0.04883712,0.038108967,0.028482653,0.021007786,0.015797498,0.012555546,0.010590465,0.009468497,0.008791349,0.0084,0.008162152,0.0079764435,0.0077710976,0.0075132377,0.007302871,0.0072350465,0.0074012093,0.0077790623,0.008363364,0.009129402,0.010044956,0.010963581,0.011722413,0.012231872,0.012508467,0.012505799,0.012090365,0.011130682,0.009723861,0.008140644,0.00675019,0.005847474,0.0056242435,0.006062038,0.007221725,0.009897332,0.016885623,0.033161264,0.06488518,0.11582629,0.18439527,0.26230082,0.33784398,0.40147674,0.4492983,0.48300257,0.504303,0.5130539,0.5048345,0.4757266,0.4225278,0.34841886,0.2617169,0.17710076,0.107572235,0.060993716,0.036858387,0.031684536,0.042065844,0.06582331,0.09915149,0.1354751,0.16759624,0.19048275,0.2034957,0.209177,0.2114511,0.212678,0.21269578,0.20973496,0.20257919,0.19213772,0.18077089,0.17114659,0.16480123,0.16191475,0.16148777,0.16220659,0.16320209,0.16399902,0.16422074,0.16312219,0.160268,0.15600598,0.15158193,0.1483394,0.14697212,0.14777191,0.15077001,0.15580967,0.16183408,0.16709884,0.16964632,0.1679777,0.16102038,0.14835142,0.13043796,0.10910382,0.0875025,0.069555126,0.059714247,0.061454196,0.07833931,0.11276869,0.16716348,0.23875205,0.31884587,0.391549,0.44098878,0.45519444,0.4305023,0.3720022,0.29358745,0.21392597,0.14843301,0.10484042,0.083805025,0.08556914,0.11078475,0.15732376,0.21557124,0.2706204,0.3111713,0.33573738,0.35230657,0.36773542,0.3810316,0.38356975,0.36881337,0.3385925,0.30232027,0.270065,0.24779558,0.23588221,0.23113607,0.22821723,0.22280031,0.21286456,0.19969517,0.18605594,0.17488615,0.16830386,0.16777562,0.17446344,0.18927783,0.21184207,0.23925646,0.2651341,0.28151274,0.28137502,0.26234752,0.22759597,0.18542802,0.14557268,0.11575272,0.09916675,0.09548289,0.10268145,0.11839318,0.1390367,0.15912406,0.17200537,0.17271209,0.1603046,0.13838142,0.11282308,0.08955451,0.07293513,0.06600675,0.0696544,0.081984095,0.0976339,0.11020886,0.11485193,0.11042588,0.098292924,0.08114143,0.061637614,0.042867962,0.027485276,0.017165873,0.011834778,0.010982856,0.015121467,0.026595468,0.048113976,0.08040855,0.1212281,0.16619094,0.20999785,0.24553342,0.26359728,0.25622156,0.22313571,0.17479765,0.12787966,0.09743214,0.09151745,0.11006725,0.1440711,0.17662269,0.18924205,0.17279041,0.13384522,0.09043175,0.06107759,0.055744518,0.07263932,0.099758,0.12030494,0.12173698,0.10270623,0.07306212,0.04606093,0.03143883,0.034397613,0.057409346,0.10192972,0.16489764,0.23905472,0.31087056,0.36511028,0.3866897,0.369159,0.31748483,0.24840923,0.18260215,0.13793314,0.12391332,0.14003897,0.17569585,0.21471329,0.24267077,0.25352752,0.25032228,0.23981184,0.22732227,0.21412466,0.19963694,0.18288577,0.16403651,0.14417544,0.12538277,0.11041086,0.10188366,0.101512976,0.10919986,0.12325875,0.14064966,0.15744822,0.16738987,0.1642769,0.14550284,0.11913117,0.099592686,0.09932951,0.117429666,0.14224908,0.16048072,0.16600525,0.16009463,0.14600673,0.12614368,0.10201558,0.07652028,0.053455193,0.035950147,0.024769107,0.01853558,0.015041635,0.012585285,0.01044714,0.008570262,0.0070214462,0.0057355687,0.0046549295,0.0041152635,0.0051021134,0.0098065855,0.02081464,0.04038925,0.06786117,0.10068852,0.13539745,0.1716779,0.211385,0.25647676,0.30420855,0.3460562,0.37041834,0.36783335,0.3362682,0.2821824,0.21860063,0.15995318,0.11731399,0.095525496,0.09275112,0.103100516,0.11903293,0.13471739,0.14660962,0.15410686,0.15750365,0.15703201,0.1516199,0.1401246,0.12246565,0.1009111,0.07930573,0.06230633,0.05395783,0.057196807,0.07188789,0.094266266,0.117308415,0.13458006,0.14286508,0.14295842,0.13739514,0.12867387,0.11927088,0.112577766,0.113720156,0.1284312,0.16042757,0.2075082,0.2590307,0.2979863,0.3084354,0.28453684,0.23518167,0.1793194,0.13631748,0.1157867,0.11597941,0.12713802,0.1391264,0.14483102,0.14146005,0.1290119,0.10978071,0.088943936,0.07431919,0.07600903,0.10071814,0.14813578,0.20670505,0.2605508,0.29600477,0.30948555,0.3045659,0.2879231,0.26422915,0.23636621,0.20646165,0.17747803,0.1525266,0.13377866,0.12060598,0.110212505,0.09924724,0.08649667,0.07294227,0.060766965,0.051591102,0.046822894,0.047490325,0.05342004,0.06138492,0.0659418,0.06284434,0.052185882,0.038050096,0.02514526,0.01601066,0.010645424,0.0078429375,0.0065015904,0.005978784,0.006015286,0.0064152423,0.0069824816,0.007494159,0.007811463,0.007903565,0.00784536,0.0077483305,0.0076777767,0.00759729,0.0073942873,0.0069949646,0.0064479024,0.005915078,0.0055633667,0.005444592,0.005471626,0.00545904,0.0052752006,0.004887076,0.004507613,0.005005637,0.008751511,0.020297475,0.046067085,0.09311601,0.16638188,0.26392284,0.3709477,0.460049,0.5036196,0.49308708,0.44607154,0.39134705,0.34449133,0.30013546,0.24579567,0.1807679,0.11733232,0.06949646,0.041389402,0.02887267,0.025412723,0.02732253,0.033177637,0.04262534,0.055577632,0.072380364,0.09351597,0.11867914,0.1460886,0.17274924,0.19571054,0.21396475,0.22886477,0.24320936,0.25768793,0.26916084,0.2700375,0.2531049,0.21643294,0.1695314,0.13129888,0.12140658,0.14503826,0.18627374,0.21633355,0.21370117,0.17852314,0.12927568,0.088583894,0.07027059,0.07800236,0.10690997,0.14618208,0.18021305,0.19494723,0.18534094,0.15810455,0.1263016,0.100193314,0.0829553,0.07226839,0.06513811,0.05998339,0.056502644,0.054323684,0.053185757,0.053983804,0.059971765,0.07605064,0.105425335,0.14608914,0.1899801,0.22735001,0.25156474,0.26193723,0.26115486,0.25289205,0.23914498,0.22161134,0.20175457,0.18289894,0.16860765,0.16184212,0.1623473,0.16692954,0.17106612,0.17092119,0.1650439,0.15424041,0.14176363,0.13205719,0.12886123,0.13293381,0.1410047,0.14804852,0.1501928,0.14710017,0.14087832,0.13413607,0.12806062,0.12235281,0.11568204,0.10671711,0.094681025,0.08020363,0.065012716,0.051426902,0.04077142,0.03313824,0.027445393,0.022709174,0.018303806,0.014240251,0.010689631,0.007919852,0.006004803,0.0048293425,0.0041278936,0.0036652933,0.0033491526,0.0032009429,0.00328668,0.0035793993,0.0039655096,0.004307048,0.0046389513,0.00517921,0.0061929286,0.0077970265,0.0105892,0.017070437,0.033338875,0.0668619,0.12112685,0.18814035,0.24966864,0.28447017,0.28164688,0.24475037,0.1899178,0.13499956,0.092172354,0.063800454,0.045934822,0.03335909,0.024516359,0.023041412,0.03802367,0.079149365,0.15008344,0.2398388,0.32554793,0.38284552,0.4011599,0.38757947,0.3592796,0.33092725,0.30745897,0.28678203,0.265684,0.2438805,0.22332083,0.20504409,0.18860263,0.1724508,0.15687622,0.14427127,0.13859051,0.14287853,0.15762784,0.18025088,0.20525189,0.22538096,0.23428237,0.2298746,0.21608269,0.20029253,0.18923594,0.18658577,0.1926791,0.20554252,0.22041778,0.23266648,0.2401867,0.24634965,0.2564906,0.2728813,0.28998396,0.29650947,0.28334764,0.25124747,0.21147531,0.17657714,0.15209383,0.13444361,0.11808107,0.10049322,0.083416104,0.06909712,0.058566783,0.05146789,0.047266096,0.0456007,0.046247825,0.048958316,0.053147536,0.058103096,0.063343324,0.06965676,0.07879176,0.09235538,0.11027334,0.13054357,0.15042852,0.16692437,0.177352,0.17895567,0.17078452,0.15414746,0.13309388,0.111792475,0.09323848,0.077744104,0.064367734,0.05253291,0.044610444,0.04561864,0.059482127,0.08421,0.11047039,0.12755804,0.13033351,0.12276579,0.11306378,0.10817516,0.11003518,0.11736318,0.12729557,0.13752528,0.14634128,0.15330803,0.15869264,0.16324337,0.1676206,0.17249854,0.17876363,0.18734218,0.19863607,0.21185203,0.22506468,0.23554768,0.24010114,0.23596905,0.22227007,0.20164835,0.17879498,0.15831941,0.14218105,0.1308244,0.12346084,0.11886092,0.11477349,0.109210074,0.10115724,0.09079229,0.078661576,0.06596585,0.054714005,0.048003558,0.049293254,0.06237094,0.09082675,0.13453488,0.18733202,0.2365694,0.27190578,0.29026517,0.29771578,0.3010161,0.30376902,0.30492282,0.30279472,0.29528382,0.28021505,0.2547156,0.21788162,0.1721388,0.123687305,0.079804264,0.045976307,0.023949867,0.011967789,0.006622135,0.004683256,0.004161915,0.004146635,0.0043278565,0.0045670997,0.004850458,0.0051837508,0.005556358,0.005774301,0.005672457,0.0051846523,0.004522189,0.0039025825,0.0034737343,0.0031597128,0.002836003,0.002386583,0.0018109251,0.0011932967,0.0006553181,0.00028616787,9.062379E-05,1.8353012E-05,1.0758046E-06,2.371286E-08,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8.0088775E-10,1.4604811E-05,0.00011152079,0.0004336493,0.001148578,0.0022727235,0.003574244,0.004617958,0.0050797467,0.004910452,0.0043698843,0.0037578444,0.003335368,0.0038960371,0.007801004,0.019877957,0.045473725,0.08673491,0.1380665,0.18639433,0.21579544,0.21566685,0.18642657,0.13939182,0.09058789,0.05224565,0.028743302,0.01828832,0.019134553,0.033059336,0.06407108,0.1110566,0.16363527,0.20461887,0.2217288,0.21518171,0.19658698,0.1784269,0.16706038,0.16264462,0.1639315,0.17085885,0.18446612,0.2058962,0.236215,0.27605537,0.3246636,0.3787794,0.43142307,0.472265,0.48974755,0.47532478,0.42713082,0.35264158,0.2686616,0.1982644,0.16004495,0.15941177,0.18402646,0.21507287,0.23517255,0.23649897,0.21703105,0.18207632,0.14083941,0.10515875,0.083659194,0.08005217,0.09210741,0.11268427,0.13146037,0.1392848,0.13277353,0.11562619,0.095279686,0.078361206,0.06816438,0.06637779,0.07533556,0.09949943,0.14225042,0.20257561,0.27298093,0.34209016,0.3992269,0.4369932,0.45367196,0.45142603,0.43678865,0.41596815,0.3937529,0.37093696,0.34674218,0.32021183,0.2923378,0.26779562,0.25406733,0.25672463,0.26958755,0.27470025,0.252159,0.19902058,0.13088767,0.07144692,0.033515356,0.016325112,0.0109813055,0.010381921,0.011241072,0.01301398,0.01549713,0.018210297,0.020419352,0.021577211,0.021506727,0.020463211,0.018823521,0.016908439,0.01488199,0.012922523,0.011344101,0.010768813,0.012765278,0.020889834,0.0411291,0.08051879,0.14382742,0.2310374,0.33515373,0.44280934,0.53421193,0.5879948,0.58672005,0.5265501,0.42272934,0.30957648,0.2284953,0.20823272,0.24974795,0.3266218,0.40402243,0.45774928,0.48352274,0.48915386,0.48562655,0.47942182,0.4740301,0.4701328,0.46870753,0.47039628,0.4771347,0.4901227,0.50778747,0.52261853,0.5229795,0.50019157,0.4566469,0.40719104,0.37020203,0.35412598,0.3493985,0.33467174,0.29351428,0.23152065,0.17566131,0.15909708,0.19646995,0.27581933,0.36344102,0.42722192,0.44930884,0.43316624,0.3898878,0.33177975,0.2646617,0.19522138,0.13041191,0.07883236,0.044004813,0.024634069,0.015342843,0.011284958,0.009356444,0.008408502,0.008176687,0.009796566,0.01648997,0.03407001,0.06816418,0.12076718,0.18746467,0.25907022,0.32614204,0.38151896,0.42236972,0.44685146,0.45606732,0.4506733,0.4345237,0.41038224,0.38196936,0.34962928,0.31278178,0.27026203,0.22365248,0.17708482,0.1355338,0.10369549,0.08593857,0.086496286,0.10588967,0.13816142,0.17070001,0.19115466,0.19189924,0.17352962,0.14125481,0.10386417,0.06996219,0.04747336,0.041457623,0.053044304,0.07800496,0.107123844,0.13135505,0.14659633,0.15562026,0.16257021,0.16832344,0.16939698,0.16245984,0.14845121,0.13284321,0.12235915,0.1202128,0.12504153,0.13216977,0.13730715,0.13806313,0.13438469,0.12759991,0.11963844,0.11238686,0.10683945,0.10263252,0.09793884,0.090720624,0.08033823,0.06845973,0.05792417,0.05080052,0.047217313,0.046106935,0.04608764,0.04598509,0.04444839,0.04062137,0.034544002,0.027541593,0.021081889,0.016112294,0.012623616,0.010219346,0.008487509,0.007215004,0.0063134935,0.0056948303,0.005285934,0.0050123273,0.004840324,0.004731159,0.0046498985,0.004571251,0.0044869874,0.004402049,0.004311918,0.004221074,0.0041390527,0.0040993243,0.004142326,0.0043121357,0.0046196077,0.0050521516,0.0055841557,0.006213237,0.006912589,0.007619063,0.008306972,0.0096274065,0.013857316,0.025761938,0.050893158,0.09187567,0.14345264,0.19239877,0.22197725,0.22128306,0.19086485,0.14338444,0.09644581,0.06595173,0.06130098,0.08469763,0.12836401,0.17393537,0.19831675,0.18798292,0.14934094,0.10446122,0.07507806,0.07017049,0.08617646,0.11559119,0.15221351,0.1910277,0.22585882,0.2504476,0.26149213,0.25998232,0.25045738,0.23773555,0.22567648,0.21568473,0.2077409,0.20042646,0.19221818,0.1813214,0.16595076,0.14457524,0.117296346,0.08696114,0.0584318,0.036152378,0.022466585,0.018695312,0.027808731,0.054015726,0.0979202,0.15096669,0.19583201,0.21490727,0.20043392,0.1591874,0.10749606,0.06178029,0.030893018,0.014886212,0.009790409,0.013641559,0.030562775,0.06770343,0.1287692,0.20724829,0.28908682,0.36041534,0.414865,0.45247862,0.47423792,0.4807682,0.47342882,0.45802736,0.44033757,0.42443767,0.4089092,0.3919933,0.3726835,0.35457352,0.34199297,0.33950266,0.34701714,0.3613819,0.37557653,0.38354912,0.38081113,0.3668963,0.3437384,0.3155876,0.28666493,0.25995198,0.23554744,0.21120937,0.18365617,0.15097992,0.11446467,0.07853105,0.048522353,0.027489832,0.015113325,0.008748744,0.005684307,0.004206979,0.0036861051,0.0041053183,0.006053871,0.010808204,0.020477284,0.03701022,0.06098448,0.090219595,0.120557375,0.1473812,0.16770054,0.18053055,0.18662806,0.18761034,0.18560876,0.18294434,0.18223692,0.185461,0.19317174,0.20291929,0.21014547,0.20939694,0.19755697,0.17545062,0.14917167,0.1284145,0.12291222,0.13700725,0.166462,0.1999289,0.2254021,0.23651123,0.23502867,0.22753544,0.22087622,0.21809943,0.21852142,0.21888532,0.21613379,0.20785105,0.19257087,0.16932239,0.13907816,0.10540078,0.073937885,0.04974774,0.03539514,0.030944565,0.035687637,0.05010156,0.07544518,0.11215674,0.15685703,0.20223147,0.2392895,0.2615317,0.2676425,0.26035348,0.24435093,0.22381417,0.2027936,0.1848786,0.17264928,0.16638322,0.16372801,0.1610142,0.15473086,0.1436937,0.12916991,0.11437431,0.10193479,0.092850454,0.086936414,0.083636366,0.08327523,0.085017435,0.087807,0.08912108,0.08800181,0.084380746,0.07975126,0.07549063,0.07220295,0.06993277,0.06763861,0.064891376,0.06131136,0.0582991,0.057483405,0.061636943,0.07356719,0.095573545,0.12697238,0.16254894,0.19469912,0.2162496,0.22350098,0.21478586,0.19078492,0.15434422,0.11207972,0.072031,0.040810235,0.02065685,0.01002628,0.0054869694,0.003972002,0.0035856937,0.0035225917,0.0035266827,0.003523255,0.003488062,0.0034393126,0.0034412527,0.003562676,0.0038152542,0.0041490947,0.0044698515,0.004743729,0.004977666,0.005211864,0.0054106736,0.0055273115,0.0055276416,0.0054572523,0.005370608,0.005317409,0.005318183,0.0053744838,0.005441286,0.0054430943,0.005343508,0.005168723,0.004978884,0.004769351,0.004507609,0.0041683917,0.0038024671,0.0034759566,0.0032365352,0.0030705815,0.0029246148,0.002744253,0.0025275722,0.0023336774,0.002249886,0.0023213376,0.002555175,0.0029210488,0.003418086,0.004025548,0.0047092265,0.0053635915,0.005886638,0.006200515,0.006313071,0.0062897224,0.0062173954,0.006154908,0.006112119,0.006093335,0.006089494,0.0060920124,0.0060762595,0.006065493,0.0061168578,0.0062663513,0.0064918343,0.0067531946,0.0070902947,0.007588942,0.008357073,0.009439945,0.010847804,0.012489673,0.014171283,0.015583408,0.016426383,0.016512798,0.015865237,0.014635335,0.013048659,0.011251912,0.009392061,0.007560262,0.0059182798,0.004623529,0.004483975,0.007953093,0.020551035,0.04926466,0.09810945,0.16156188,0.2240514,0.266052,0.27495936,0.25057918,0.20352638,0.1492321,0.103446536,0.08058208,0.09010035,0.13061607,0.18466419,0.22520228,0.23068547,0.20050685,0.15252857,0.10959572,0.08310141,0.07170499,0.067791015,0.06747272,0.074322015,0.09579047,0.1377687,0.19645047,0.26153776,0.31790754,0.35696983,0.37620243,0.38408104,0.3916428,0.40976807,0.43999302,0.47684228,0.5114555,0.53718597,0.5483617,0.53621083,0.49102065,0.4111769,0.3117881,0.22239958,0.17132314,0.17078374,0.20925109,0.26189306,0.3043384,0.32672986,0.33296585,0.33441734,0.33851776,0.3441465,0.34210464,0.32367447,0.28926983,0.25149623,0.22771508,0.22814704,0.24960037,0.27811936,0.29827908,0.2997129,0.28092453,0.24760266,0.20968808,0.17587775,0.15043187,0.13298987,0.121502034,0.11483658,0.11323032,0.117594756,0.12799114,0.14358778,0.16267252,0.18545206,0.21451358,0.2537643,0.30279437,0.35399267,0.39520362,0.4163784,0.41527596,0.39472473,0.35971987,0.31357333,0.2604864,0.20513518,0.15369965,0.11406752,0.09819765,0.1211135,0.1928566,0.30807304,0.4409856,0.55548424,0.6204505,0.6221025,0.562683,0.45768043,0.33387983,0.22663307,0.16649763,0.16030852,0.1881405,0.21865815,0.23587106,0.244596,0.2608496,0.2923932,0.33457223,0.3735437,0.3942559,0.386982,0.35246137,0.30344787,0.25714326,0.22534591,0.20882897,0.20058076,0.19192527,0.17673732,0.15283988,0.123266645,0.09612435,0.082084864,0.087324716,0.1080276,0.13058665,0.14094849,0.1348233,0.12060354,0.11145199,0.11490431,0.12845017,0.14380962,0.15341397,0.15443914,0.14821634,0.13876815,0.13119681,0.13103046,0.14314611,0.17029218,0.21241097,0.2657345,0.32396194,0.377533,0.41496226,0.42453852,0.40036967,0.34816828,0.285284,0.23471995,0.21323173,0.22443736,0.2560762,0.28817943,0.30358207,0.2975074,0.27622703,0.24964654,0.22387284,0.20099045,0.18183814,0.16788058,0.15979916,0.15664785,0.15608679,0.15582502,0.15390009,0.14897941,0.14116432,0.13332832,0.13098635,0.13783441,0.151141,0.16012593,0.15371227,0.12836048,0.092074424,0.057236318,0.03311811,0.02126199,0.018547166,0.020716121,0.024876507,0.029201766,0.032562032,0.034278404,0.03432539,0.033171225,0.031489067,0.029751584,0.028147677,0.02664279,0.025109256,0.023441315,0.02157411,0.019570442,0.017521383,0.015579316,0.013845543,0.0124022765,0.011227827,0.0102461325,0.009387997,0.008648953,0.008063319,0.0076151714,0.007238313,0.006862235,0.0064479406,0.0059832265,0.005468024,0.0049718856,0.004623283,0.0045721536,0.0049035866,0.005708404,0.0076409653,0.012703609,0.025025493,0.04919085,0.08749765,0.1363603,0.18782769,0.23306042,0.26744065,0.29065445,0.30439603,0.30924347,0.3035042,0.28652474,0.261903,0.23993695,0.23110013,0.23837681,0.2532672,0.26319358,0.26186755,0.25298345,0.24546285,0.245631,0.25481156,0.2699746,0.2867037,0.30063415,0.30953094,0.31371096,0.31571582,0.31863165,0.3239694,0.33036196,0.33205226,0.3216729,0.29375014,0.25010866,0.1993119,0.15339068,0.123155184,0.116434336,0.13748194,0.18522263,0.25096807,0.32103953,0.38153514,0.42678705,0.45712936,0.47795835,0.49116054,0.49799737,0.49662456,0.48710546,0.46880147,0.4432141,0.41164652,0.37601554,0.33725825,0.29650584,0.25605565,0.21918215,0.18898867,0.166094,0.1491348,0.13557434,0.12376342,0.113326736,0.10505936,0.09980568,0.09716091,0.09572876,0.09370401,0.09097364,0.08813491,0.08663726,0.08659235,0.08736836,0.086961724,0.083452135,0.076568305,0.06830654,0.061764177,0.057764333,0.05433248,0.04859962,0.039876316,0.03010623,0.021750359,0.016150322,0.013060204,0.011646924,0.01099068,0.010491607,0.009872175,0.009110035,0.008251344,0.0073121083,0.0063379197,0.0054135122,0.0046216263,0.0039705248,0.0034952974,0.0034177897,0.0042832573,0.006976348,0.012517703,0.022084089,0.036732942,0.057187434,0.082678996,0.11053357,0.13633889,0.15588696,0.16667251,0.16851239,0.16249873,0.1498891,0.1318634,0.11025438,0.087960176,0.06830448,0.0533686,0.04324712,0.036174115,0.030191772,0.024103476,0.01810778,0.012979954,0.009363566,0.0072171153,0.006095909,0.005604243,0.0055702017,0.0062404335,0.008597279,0.015249048,0.03003939,0.05672397,0.0960534,0.144921,0.19664586,0.24356186,0.2778208,0.29254708,0.2827343,0.24888563,0.19884901,0.14679672,0.10690978,0.08798992,0.09020383,0.10725263,0.12950999,0.14844732,0.15860635,0.15814663,0.14759232,0.12887101,0.10527415,0.08094803,0.06007381,0.04513823,0.036630835,0.033477444,0.034492087,0.039215367,0.04759303,0.058938313,0.070815556,0.08021605,0.085399576,0.08784354,0.0908935,0.097159594,0.105952285,0.1139578,0.11780792,0.11688217,0.113479905,0.11097344,0.11111584,0.11323807,0.11520767,0.11541649,0.11382707,0.111690305,0.11054226,0.11129699,0.11369153,0.11627311,0.11677584,0.11379591,0.107967235,0.10234523,0.10003177,0.10205558,0.10621067,0.108810164,0.10668403,0.09934043,0.089841865,0.08468764,0.090772696,0.110757776,0.13998531,0.16859925,0.1875081,0.19303362,0.18716837,0.17417412,0.15807658,0.1415868,0.12672247,0.11432046,0.104283035,0.095532455,0.087361306,0.07946676,0.072260536,0.065958254,0.06071869,0.05608034,0.051505994,0.04646644,0.041226003,0.036471292,0.03292289,0.03069517,0.029477926,0.028984174,0.029074818,0.029805584,0.030937238,0.03237829,0.03372051,0.034816507,0.03485034,0.033421014,0.030141832,0.025986163,0.022166202,0.02029715,0.021291422,0.026136687,0.036263764,0.05368386,0.07973216,0.11306431,0.14963698,0.1840501,0.21222615,0.23181033,0.24197836,0.24254997,0.23407759,0.21726702,0.19258231,0.16052634,0.123311974,0.08555589,0.05307204,0.02984476,0.01649272,0.010688421,0.009340501,0.009945187,0.011097929,0.012111008,0.012805414,0.013227369,0.013492779,0.013627022,0.013548662,0.013102445,0.012143481,0.010655467,0.008821264,0.00693216,0.0052669346,0.003996474,0.003229908,0.0029954377,0.0032472406,0.0038309824,0.004576605,0.005342238,0.006084487,0.006757934,0.007306121,0.0075957323,0.007555397,0.0071662725,0.0065384624,0.0057896054,0.0050636586,0.004454642,0.0040648044,0.0039672195,0.004207089,0.0047657113,0.005565115,0.0065144715,0.00750103,0.008415684,0.009119787,0.00952975,0.009631064,0.009484455,0.009146372,0.008617923,0.007887726,0.0069590528,0.0059255175,0.004929775,0.0041483855,0.0037063665,0.003664079,0.004043329,0.0048392783,0.0060120192,0.007425159,0.008879825,0.010166437,0.011166294,0.011865857,0.012317474,0.012545891,0.012517483,0.01216308,0.011451925,0.01041767,0.00917894,0.007867169,0.0066022743,0.0054402077,0.004441915,0.0036531994,0.0031204633,0.0028550662,0.002897186,0.0033013157,0.004076039,0.0050689704,0.0060105915,0.006650171,0.006911271,0.0068694833,0.0066417544,0.0062897434,0.0058216653,0.005264446,0.004682887,0.0042030043,0.00396066,0.0040874626,0.004617956,0.0054711546,0.006469846,0.007433058,0.008240058,0.008811881,0.009134207,0.009233996,0.009201832,0.009086889,0.008888397,0.00854827,0.008013097,0.007246951,0.006262517,0.005176526,0.004207291,0.0036012193,0.0035187267,0.003988204,0.0049426225,0.006245769,0.0077233627,0.00916345,0.010391321,0.011340741,0.0120787965,0.012784586,0.013882174,0.016366797,0.02250647,0.03589036,0.061131727,0.101326704,0.15640138,0.22139741,0.2890011,0.35097173,0.40011147,0.43064156,0.44009387,0.432006,0.41325054,0.39141336,0.3689864,0.34648314,0.32268655,0.29823402,0.2731128,0.24741882,0.22077633,0.19400753,0.16859968,0.14619951,0.12727742,0.11160248,0.09877806,0.08900258,0.082574524,0.07937018,0.07864643,0.07911048,0.079305105,0.07751345,0.07283413,0.06496646,0.055243712,0.04478766,0.035121035,0.026531419,0.019581497,0.014158874,0.010374241,0.007802773,0.0061295885,0.005084422,0.0046364344,0.00474821,0.0052744593,0.0060290233,0.0068602436,0.007735538,0.008644883,0.009585545,0.010485664,0.011282667,0.011931606,0.012451633,0.012854088,0.013091169,0.012978163,0.012263772,0.010807472,0.0087882625,0.006683106,0.005309218,0.006321131,0.013164534,0.031100152,0.06469833,0.11404816,0.17230733,0.22836757,0.27141464,0.2953079,0.2990991,0.28738785,0.26969457,0.25713953,0.25561902,0.25952026,0.25496957,0.23089989,0.19090283,0.15380105,0.14060895,0.15927243,0.19758241,0.23453522,0.2559279,0.2651845,0.27599108,0.29916358,0.3342636,0.37486836,0.41693136,0.4580982,0.4909244,0.5002102,0.47658047,0.42639542,0.3721639,0.33301422,0.3151178,0.31056955,0.31063262,0.31091785,0.31225434,0.31654525,0.3245374,0.33565712,0.3477362,0.3589915,0.36694244,0.3698168,0.36385944,0.3471004,0.3185767,0.28368384,0.25047162,0.22983636,0.2275066,0.24336211,0.27008235,0.29999784,0.3284982,0.35464868,0.37579545,0.3855164,0.37825266,0.3579036,0.33801976,0.33244464,0.3430799,0.36026892,0.3703158,0.3650823,0.34118465,0.29937485,0.24276064,0.17977579,0.12088419,0.07517607,0.045191083,0.028684525,0.021612994,0.02317526,0.03671257,0.06770152,0.11790276,0.18097796,0.24369943,0.29283893,0.32165432,0.32998,0.31934097,0.2898972,0.24243617,0.18280037,0.1218398,0.07101507,0.03654937,0.018059565,0.010826983,0.009661033,0.010927343,0.012812105,0.014615126,0.016048225,0.016940743,0.017168522,0.016802244,0.016014388,0.014983252,0.01374415,0.012323964,0.010841149,0.009561441,0.00877636,0.008629248,0.009042588,0.009707126,0.010342798,0.010825177,0.011321097,0.013585411,0.02213488,0.045982916,0.09273124,0.163553,0.24538021,0.3190954,0.3668888,0.3846749,0.37924483,0.3639582,0.35157502,0.35064912,0.36485147,0.3883305,0.4087826,0.41156304,0.39324948,0.36380398,0.34005833,0.3300673,0.3282852,0.3245951,0.31733403,0.31470808,0.32265124,0.33355525,0.33029097,0.2999545,0.24681284,0.18885599,0.1493042,0.14463836,0.18203394,0.25492862,0.34632912,0.43192437,0.49397278,0.5257599,0.5348153,0.53086585,0.5230036,0.51283747,0.5011136,0.48580086,0.4683495,0.4496003,0.43239594,0.41681516,0.40238532,0.38662913,0.3662883,0.33744776,0.2985331,0.25496334,0.2185085,0.20085275,0.20409566,0.21816622,0.22660351,0.21625231,0.18531092,0.14436933,0.111662805,0.101502635,0.11611155,0.14466746,0.1739804,0.19841768,0.22166204,0.24951513,0.28162232,0.31217524,0.33385953,0.34464088,0.3466703,0.34349653,0.33524275,0.31948772,0.29691026,0.2747127,0.26433155,0.27140063,0.29073945,0.30797398,0.30924788,0.2882146,0.24831253,0.1987986,0.14987312,0.10873278,0.078613825,0.05982616,0.052291393,0.058266968,0.08177713,0.12505388,0.18315645,0.24473782,0.29715034,0.33334112,0.3530695,0.36132076,0.36610505,0.37640694,0.39809215,0.42875242,0.45807996,0.47327042,0.46822575,0.44589058,0.4176079,0.39473698,0.3836517,0.37984025,0.3719925,0.3486588,0.30848694,0.2617444,0.224559,0.2073644,0.20900637,0.2188449,0.22572367,0.22366482,0.2121154,0.191678,0.16363859,0.13228175,0.107242204,0.09823819,0.10840549,0.13066965,0.15459943,0.17315991,0.18606685,0.19456412,0.1986223,0.19615464,0.18749106,0.17572124,0.16632414,0.16243951,0.16498227,0.17381807,0.19189864,0.22296154,0.266976,0.31594944,0.35872284,0.38731757,0.40215042,0.40796724,0.410983,0.41358945,0.4147956,0.4092231,0.39510128,0.38133696,0.38962042,0.43935105,0.5294948,0.6336337,0.7146546,0.74577403,0.71897125,0.643182,0.53558695,0.41692916,0.3050328,0.21207191,0.1426291,0.09686012,0.07363281,0.07344801,0.09726264,0.14206392,0.19763084,0.2494049,0.28757688,0.31202343,0.32945573,0.34421757,0.35496357,0.35698068,0.34842458,0.3308142,0.30738547,0.28027347,0.25197855,0.2260003,0.2058817,0.19225986,0.18232541,0.17241292,0.16029944,0.14576535,0.12925549,0.1130015,0.10237726,0.10662239,0.13340245,0.18318045,0.2448088,0.30139092,0.33884057,0.35494366,0.35812876,0.35937425,0.3634397,0.3661169,0.36093208,0.3443226,0.32013035,0.29546157,0.27823815,0.2707311,0.27031365,0.27083564,0.27057505,0.2720079,0.27980193,0.29169658,0.29916313,0.2911125,0.2652935,0.23119138,0.2055024,0.19948755,0.21052878,0.22522376,0.22970484,0.21983892,0.20071739,0.18057996,0.16342372,0.14819206,0.13204987,0.11450065,0.09838438,0.0876758,0.0850377,0.090375684,0.10242774,0.12061735,0.14717288,0.18591148,0.23991859,0.30878118,0.38873246,0.47456303,0.5607219,0.64159495,0.71080065,0.76281935,0.7928969,0.797232,0.7721984,0.7175887,0.63867456,0.54710656,0.4556208,0.37544954,0.3120705,0.2672996,0.23751545,0.21797927,0.203097,0.19025625,0.17788012,0.16542228,0.15210116,0.13826437,0.12562494,0.116054654,0.10959055,0.10344132,0.09388858,0.07900469,0.060370613,0.041983187,0.027724095,0.019449474,0.01674876,0.0180089,0.021425173,0.025564605,0.029384924,0.032236423,0.033718247,0.033799708,0.032662217,0.030806774,0.028652176,0.026553458,0.024538092,0.022611478,0.020700715,0.01882723,0.01696927,0.015146024,0.013403538,0.011830623,0.010507639,0.009451217,0.008656242,0.008107411,0.0078043602,0.007694233,0.007691885,0.007711189,0.0077601136,0.00792351,0.0083379,0.009113339,0.010474231,0.013817385,0.023220098,0.046272,0.08944044,0.15085487,0.21399319,0.2549828,0.25626132,0.22037046,0.16580643,0.114786655,0.07951369,0.061592087,0.05666695,0.060920786,0.07235214,0.09182935,0.121525675,0.16408946,0.21759938,0.27517086,0.32468918,0.35549405,0.35934493,0.33452618,0.28490767,0.2243499,0.17271012,0.14917044,0.1594116,0.1915911,0.22377324,0.23983455,0.2407599,0.24015403,0.2509451,0.2741798,0.30148572,0.3225713,0.3306931,0.3216714,0.29302666,0.2461028,0.18821543,0.13292733,0.09471116,0.083975695,0.100825764,0.13751805,0.18315311,0.23232813,0.282991,0.33165464,0.36733297,0.37778044,0.35848275,0.31988296,0.28250757,0.26610842,0.27741176,0.306034,0.32971203,0.32781053,0.29278788,0.23376875,0.16817908,0.11170051,0.07243077,0.054903153,0.06499124,0.10846514,0.18251236,0.26943818,0.34428617,0.38958836,0.40612674,0.40728593,0.40705368,0.41047075,0.41502908,0.41513428,0.40727198,0.39066195,0.36704263,0.33940518,0.31138182,0.28715897,0.26951802,0.25921926,0.25372568,0.24946336,0.24156462,0.22542502,0.19722562,0.15791224,0.11490447,0.08044377,0.06611497,0.07479155,0.09838011,0.1194187,0.12339791,0.105843715,0.07575985,0.0458737,0.025648104,0.016690858,0.016100576,0.019574448,0.023877153,0.02726321,0.029228074,0.029949239,0.029644571,0.028331824,0.026022298,0.02297836,0.019767992,0.016997432,0.015035182,0.013958399,0.014131044,0.017313635,0.028197572,0.053686474,0.09978205,0.16567744,0.24151118,0.31198788,0.36503825,0.39807174,0.4163052,0.42649248,0.43215916,0.43335912,0.4305004,0.42360756,0.41377535,0.39908254,0.377412,0.3448024,0.30002344,0.24563456,0.18955177,0.14137861,0.108128406,0.09355286,0.100789964,0.13340528,0.19065297,0.2619492,0.32827744,0.371138,0.3819275,0.36402237,0.32846773,0.28694713,0.24786955,0.2147196,0.18778217,0.16537036,0.1451932,0.12459517,0.10187444,0.07752559,0.05495611,0.039518453,0.037764207,0.055576604,0.095354676,0.1521209,0.21418001,0.268144,0.30469027,0.31907144,0.30947372,0.2777026,0.23210712,0.18633671,0.1522053,0.13279076,0.12208116,0.11113795,0.09454476,0.07289784,0.051116254,0.035471607,0.031208873,0.0404738,0.0596468,0.07945636,0.088710964,0.0822801,0.063533805,0.04181635,0.02458152,0.014581576,0.010236711,0.009130429,0.009350799,0.009864665,0.010101627,0.009818632,0.009053683,0.007990811,0.006844886,0.005746694,0.0047975364,0.004071201,0.0036209903,0.0034114125,0.0034555194,0.004435008,0.0087880725,0.021461695,0.04800866,0.090299666,0.14210145,0.19056833,0.22260742,0.23292524,0.22512323,0.20803402,0.1890331,0.1720408,0.15735604,0.14384837,0.12946129,0.11229515,0.09165648,0.06893663,0.047431126,0.030431306,0.019960774,0.016374558,0.019171273,0.027533531,0.03973746,0.053101193,0.06421354,0.070700936,0.07182861,0.068495624,0.062356148,0.055572227,0.050635587,0.049740776,0.05386184,0.062642284,0.07471812,0.08875189,0.10370436,0.120580874,0.14235453,0.17356913,0.21594696,0.26636466,0.31631085,0.3563988,0.3793155,0.38207364,0.36528757,0.3336371,0.29401407,0.25345615,0.21531554,0.1800909,0.14710002,0.117765486,0.0939742,0.076704346,0.06393968,0.05281071,0.04129498,0.029941777,0.021126099,0.017943151,0.023075929,0.036213953,0.053038344,0.0652189,0.0664152,0.055691373,0.038934447,0.023058886,0.012453877,0.007152718,0.00539053,0.005271383,0.0057214103,0.0062037967,0.0064903293,0.006530167,0.0063611143,0.006033495,0.0055893753,0.005055258,0.0045024753,0.003995306,0.0035996793,0.003310005,0.003100801,0.0029304263,0.0027893893,0.002683278,0.002632221,0.0026732879,0.0028751446,0.0033219818,0.0045072944,0.008006058,0.016974859,0.034532994,0.060473096,0.089038156,0.1109465,0.11989024,0.11809366,0.11743307,0.1329682,0.17254935,0.22990215,0.2870003,0.32730547,0.34454116,0.34351167,0.33013108,0.30903104,0.2860639,0.27397045,0.28678462,0.32951304,0.3899645,0.44463953,0.4720581,0.46593273,0.4347396,0.3934375,0.35113215,0.30849078,0.26121733,0.20824258,0.15451661,0.10836352,0.07634171,0.060131166,0.057539385,0.06410712,0.07495278,0.08588931,0.09456495,0.10061858,0.104382105,0.105662875,0.10350939,0.09769245,0.090408444,0.086576216,0.091689,0.10830649,0.13423069,0.16384596,0.19138128,0.2133497,0.22942531,0.24198425,0.25527295,0.27237138,0.29289797,0.3111739,0.3197909,0.3126491,0.28874055,0.2512963,0.20810635,0.17010081,0.14886592,0.15156312,0.17585182,0.21260244,0.25000948,0.2814608,0.30295095,0.31379318,0.31235185,0.29991505,0.27882835,0.2534943,0.22771275,0.20504916,0.18800724,0.17746924,0.17231892,0.1700633,0.16826232,0.16544905,0.16100639,0.15440428,0.14420761,0.12934524,0.110803425,0.09353781,0.08332991,0.08327299,0.09033162,0.09859539,0.10288206,0.102204464,0.09811303,0.09264355,0.08688619,0.08118608,0.07635889,0.07278515,0.0707543,0.06860152,0.06460226,0.056894705,0.046095163,0.033992276,0.023249378,0.015230964,0.010207645,0.0074652187,0.006169401,0.005596804,0.00529185,0.005087408,0.005013326,0.005221129,0.005817196,0.006805796,0.007969837,0.008929505,0.009192549,0.008455847,0.0067399493,0.0045388984,0.0024769236,0.0010496271,0.00030908777,5.3809577E-05,8.3538765E-08,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.4537122E-09,1.0782141E-05,8.1491045E-05,0.00032520128,0.0008987429,0.0018926281,0.0032277002,0.00462205,0.005749777,0.0063981283,0.0065833046,0.006465849,0.006255492,0.0061142505,0.006155688,0.0064281854,0.0069192057,0.007538769,0.008176006,0.0087088905,0.009064008,0.009208531,0.00920966,0.009177338,0.0092178555,0.009348306,0.009634618,0.0103973225,0.012440409,0.016911477,0.025443992,0.040707517,0.0669327,0.108007096,0.16314532,0.22400965,0.27737406,0.31280884,0.32764348,0.32643,0.31577578,0.30156574,0.28772685,0.27662554,0.26796037,0.26003373,0.25069305,0.24005978,0.22893353,0.21788757,0.20416935,0.18392508,0.15578015,0.12607227,0.10896298,0.12009361,0.16735606,0.24243598,0.32274863,0.38065156,0.4009038,0.38812935,0.36454222,0.35264456,0.36565366,0.40295136,0.45906433,0.5241787,0.58870274,0.6389823,0.6663627,0.6660294,0.64334416,0.60177606,0.54345167,0.46488428,0.37174723,0.27909306,0.20792718,0.16791795,0.15482396,0.1586601,0.17722304,0.21711223,0.28329775,0.36920738,0.45692238,0.5274368,0.56983197,0.58294636,0.5691729,0.5286717,0.4615669,0.37439564,0.28633425,0.22150446,0.19841696,0.21682139,0.26007807,0.3016797,0.31900278,0.30159163,0.25552258,0.20035686,0.16012998,0.15450166,0.18958856,0.25544417,0.32849464,0.38384303,0.40815875,0.40496576,0.3891501,0.37525797,0.37188527,0.3772453,0.3827921,0.37567475,0.35088313,0.31453323,0.28227064,0.2644584,0.26003668,0.25990394,0.25926125,0.26223108,0.2736324,0.28943205,0.29495513,0.278079,0.23835264,0.18880321,0.1453264,0.12032956,0.120583095,0.14815526,0.19886382,0.26000324,0.31455263,0.34822026,0.3567179,0.34508356,0.32290938,0.2979048,0.27350873,0.25003007,0.22753505,0.20668429,0.188076,0.17124505,0.15535508,0.13994429,0.12527733,0.11232666,0.10231075,0.09605315,0.09245456,0.088731885,0.08202129,0.071553074,0.0590746,0.046978872,0.037237756,0.03049036,0.027180247,0.027093107,0.029874757,0.034573868,0.040308405,0.045840442,0.049849316,0.051028688,0.049306054,0.04567712,0.041782025,0.038423035,0.035636637,0.032842435,0.029663755,0.02595444,0.022117585,0.01923345,0.019413946,0.02556719,0.040690552,0.06670474,0.10375512,0.14991497,0.20085557,0.24911892,0.28532013,0.30212075,0.29943803,0.28482535,0.26820377,0.25501236,0.24446958,0.23371895,0.22231783,0.21315432,0.2087434,0.20822783,0.20718622,0.20119126,0.18896113,0.17301132,0.15772915,0.14696367,0.14299752,0.14638768,0.15711938,0.17582548,0.2044044,0.2439862,0.2917399,0.34009555,0.38059282,0.40909255,0.42660674,0.43556622,0.43565163,0.42506108,0.40329537,0.37407443,0.3421706,0.31062472,0.27707478,0.23699652,0.18817107,0.13623063,0.09225776,0.06651711,0.060192768,0.065124184,0.06881254,0.06372019,0.050251078,0.03463927,0.022301694,0.015415509,0.015123892,0.02590254,0.056347772,0.112915605,0.19285154,0.28060037,0.35589394,0.4036138,0.42233515,0.4206525,0.41063312,0.40018725,0.39254037,0.38797012,0.38570848,0.38400376,0.3790529,0.3659606,0.34030703,0.30164018,0.25529334,0.21108992,0.17811002,0.15896887,0.14961685,0.14343835,0.13687058,0.13015006,0.12527019,0.12294466,0.12227258,0.121709615,0.12043995,0.118636645,0.11697633,0.11591273,0.11523687,0.114500694,0.11353598,0.11284206,0.11286538,0.1133134,0.11272699,0.10916153,0.10150051,0.090792514,0.08071411,0.07548377,0.077049196,0.08275208,0.08725935,0.085907616,0.07810622,0.06683095,0.05635863,0.0493988,0.04627127,0.045464486,0.045481574,0.04642119,0.051246196,0.06440526,0.08898608,0.1232852,0.16136704,0.19667874,0.2262702,0.2512946,0.2743003,0.29640076,0.31641534,0.33184624,0.3392569,0.3351686,0.31662843,0.28417796,0.24197674,0.19781798,0.15876614,0.12961493,0.1109584,0.10118423,0.09821367,0.10212197,0.115707524,0.14214604,0.18146503,0.22825289,0.27381715,0.30880812,0.32583675,0.3205323,0.29440138,0.2547967,0.21143089,0.17017527,0.13199252,0.09619415,0.0644538,0.039855402,0.024265148,0.016546523,0.013949522,0.013625042,0.013770175,0.013474417,0.012644828,0.011520491,0.010466147,0.00960873,0.00894072,0.008372554,0.0078798765,0.0074335826,0.0070068776,0.0065945243,0.0062477947,0.0060426383,0.006010818,0.0061156447,0.0062542637,0.006294492,0.0061610616,0.0058929916,0.0056583546,0.005617835,0.0058417977,0.0062564383,0.006698092,0.0069574355,0.0068680015,0.006405255,0.005689381,0.004920209,0.004238621,0.003735816,0.003439772,0.003390696,0.0035903517,0.004053635,0.0047372547,0.005594507,0.006522507,0.0074646655,0.008365001,0.00924559,0.010163042,0.011751239,0.015780449,0.025722189,0.044957932,0.074141204,0.10866509,0.14058316,0.16262229,0.17186742,0.16931202,0.15704967,0.13677718,0.11029198,0.08193091,0.05792725,0.04458778,0.043264523,0.049747933,0.055573124,0.054862667,0.046775118,0.035609614,0.025660813,0.019075505,0.015560769,0.014793813,0.017617034,0.026032142,0.041159306,0.061571766,0.082861565,0.10072198,0.113577165,0.12359649,0.1337564,0.14551358,0.15733449,0.16616781,0.16818672,0.16179104,0.1487091,0.13568185,0.12983035,0.13475718,0.14707959,0.160464,0.16990171,0.17415123,0.1735925,0.16772598,0.15597993,0.14025357,0.12796532,0.12902379,0.150025,0.18707792,0.22743607,0.25618148,0.2653931,0.25566173,0.23365104,0.20662145,0.18071146,0.15999663,0.14796509,0.14720201,0.15907265,0.18189603,0.2109405,0.23932326,0.2601159,0.26704308,0.25613484,0.22689201,0.1847971,0.13932385,0.10164139,0.07989543,0.078804575,0.098075755,0.13278891,0.17300509,0.2073586,0.22753964,0.23176561,0.22376102,0.20898008,0.19133191,0.17283905,0.15540782,0.14183314,0.13481964,0.1347308,0.13914056,0.14406021,0.14660402,0.1459087,0.14282818,0.13818382,0.13197984,0.12371235,0.113369375,0.101703696,0.08929637,0.07599094,0.061379816,0.04618227,0.032335825,0.021767,0.014925958,0.01081502,0.008109233,0.006087158,0.0047065574,0.0041100793,0.004348736,0.005208081,0.0063436734,0.0073571955,0.008058995,0.00839445,0.008377735,0.007949798,0.007154545,0.0061865025,0.005340049,0.0047682375,0.0044482104,0.004230971,0.0040067253,0.0037246235,0.0034458751,0.0032505486,0.00320983,0.0032816085,0.0033911478,0.0034768768,0.003585496,0.0037872726,0.0041287704,0.00457463,0.005061632,0.0055271555,0.0059130364,0.0062304195,0.006556382,0.007083645,0.00783933,0.008652333,0.009084568,0.008917436,0.008622433,0.009817035,0.015266095,0.027362384,0.04649758,0.069376625,0.090856336,0.106249295,0.11424643,0.116139434,0.114502884,0.11109739,0.10704181,0.10301445,0.09989557,0.0981713,0.09780263,0.09809929,0.09844506,0.09858691,0.098886944,0.10000896,0.10274636,0.107598364,0.114607364,0.12324888,0.13247491,0.14081089,0.14637698,0.14728308,0.14213021,0.13072307,0.11445249,0.09600843,0.07862543,0.064793766,0.0558106,0.051565077,0.051438082,0.054430857,0.059790578,0.06665132,0.074442126,0.08213142,0.08825367,0.09069658,0.08818224,0.081272334,0.07269025,0.06559198,0.06177335,0.060677443,0.06043278,0.059083264,0.055977505,0.051483575,0.04667127,0.042015165,0.037324876,0.031897053,0.025614657,0.019171624,0.014806933,0.017374683,0.035179406,0.076114215,0.1397594,0.2128731,0.27538595,0.31400076,0.32866,0.32778236,0.31716275,0.2968847,0.26415235,0.2193339,0.16667747,0.11392778,0.06863938,0.036053233,0.016628658,0.007404058,0.004019453,0.0032128512,0.0032544509,0.0036312093,0.0043044514,0.0053700563,0.0067840195,0.008413851,0.009940594,0.011083464,0.011548164,0.011385397,0.010850827,0.010395613,0.0101124095,0.009811026,0.009151877,0.008120088,0.0069134478,0.0057708905,0.00478603,0.0040228306,0.0035461234,0.0033801508,0.0034256817,0.0035398342,0.003601017]