[0.036511086,0.046838094,0.070102096,0.09881019,0.12158016,0.12869214,0.11951531,0.10429448,0.096520565,0.10243454,0.11593315,0.12528497,0.12290954,0.11087767,0.09642451,0.08507647,0.077542834,0.07216098,0.06946125,0.07245926,0.084367625,0.103880145,0.12588197,0.14408682,0.15553589,0.1596613,0.15621187,0.14356394,0.12128725,0.09297403,0.06648617,0.050669264,0.050507363,0.06456741,0.085493214,0.10445393,0.11557305,0.119109415,0.12178838,0.13576026,0.17433149,0.24266942,0.3288821,0.40390685,0.43775955,0.41824874,0.35976005,0.29076815,0.23622257,0.20522869,0.19373493,0.1923958,0.19374804,0.19415127,0.1925829,0.18905477,0.18336932,0.17560671,0.16647948,0.15766957,0.15081948,0.14672041,0.14524524,0.14592785,0.148297,0.15137859,0.15376003,0.15439962,0.15355642,0.15236282,0.15155737,0.1510712,0.150804,0.15158625,0.15447731,0.15955387,0.16512224,0.16889201,0.16921104,0.16597101,0.16013916,0.15336561,0.14719437,0.14267997,0.13979161,0.13782382,0.13589764,0.1336928,0.13132703,0.12967134,0.13035083,0.13592973,0.14725949,0.16226448,0.17511414,0.18128653,0.17930649,0.17165522,0.15968785,0.1428404,0.119430035,0.09071091,0.061136827,0.036224436,0.019127907,0.009636184,0.005356341,0.0037062606,0.0030158863,0.002571102,0.002209185,0.0019509034,0.00189348,0.002155202,0.0028271864,0.0037710748,0.004577399,0.004780488,0.004299247,0.003611316,0.0040128776,0.007697555,0.017988065,0.037109714,0.06398525,0.09236071,0.11476169,0.12658535,0.12914614,0.12610413,0.11976373,0.10902872,0.092342794,0.07059333,0.048391756,0.031470392,0.02423255,0.027728984,0.04016773,0.057369817,0.07442898,0.08750833,0.095286705,0.098755,0.09932598,0.09789566,0.094812095,0.090842076,0.0868955,0.08344235,0.08013126,0.076321006,0.071806274,0.06683231,0.06170592,0.056312833,0.05022985,0.043185234,0.03543391,0.027878584,0.021482944,0.016853819,0.013838182,0.011988482,0.010848493,0.0103097,0.010325819,0.010803412,0.011405516,0.011763266,0.011599384,0.010934244,0.0100048855,0.009108481,0.008378666,0.0077258707,0.006971359,0.0060126833,0.0049222386,0.0038607812,0.0029890258,0.0023773722,0.0020108048,0.0018019859,0.0016639427,0.001547909,0.0014633831,0.001428049,0.0014403331,0.0014658294,0.0014771364,0.0014676907,0.0014534992,0.001557928,0.0021754736,0.004076593,0.007873897,0.013458448,0.020019444,0.027545935,0.037672404,0.052530184,0.07193171,0.0924728,0.11000381,0.12270268,0.13156758,0.13805418,0.14241283,0.14416987,0.14343165,0.14143445,0.13956797,0.1386978,0.138264,0.13695188,0.13377456,0.13000067,0.12857288,0.13196547,0.13932247,0.14727147,0.15234746,0.15378493,0.15279156,0.1511306,0.14973105,0.14897193,0.14893205,0.14907275,0.1481163,0.14410734,0.1356107,0.12224901,0.10517032,0.08624817,0.06757521,0.050847013,0.037449192,0.02815365,0.02300129,0.02105786,0.020966073,0.021376828,0.022609694,0.027943134,0.04605909,0.08778745,0.16011927,0.2543735,0.34517303,0.39956227,0.39924112,0.35236886,0.28831568,0.23609276,0.20815833,0.19930774,0.19794293,0.19559823,0.19007178,0.18270002,0.17575186,0.17052273,0.16667445,0.16311163,0.15881823,0.15416558,0.15021563,0.14779717,0.14682513,0.1461509,0.14508025,0.14360958,0.14336796,0.14627676,0.1533498,0.1633889,0.17324579,0.18029426,0.18383278,0.18538374,0.18641095,0.18707205,0.18629079,0.18288277,0.17674382,0.16901703,0.161985,0.15789151,0.15748733,0.15943485,0.16116373,0.1609736,0.15842529,0.15365465,0.1467429,0.13919826,0.13545103,0.1404682,0.15572493,0.17616987,0.1941246,0.20362689,0.20372246,0.19639504,0.18510641,0.17339493,0.16431464,0.15884356,0.15518485,0.14979191,0.13976946,0.12494301,0.108149625,0.093342386,0.08253631,0.07451432,0.066321656,0.056304213,0.045270383,0.035337258,0.027961222,0.02320298,0.020352552,0.019366065,0.022073908,0.032228928,0.052763462,0.08260691,0.11516883,0.14230932,0.15883598,0.16530047,0.1651728,0.16196375,0.15726624,0.15182133,0.14651345,0.14318053,0.14410508,0.15115096,0.16641945,0.19424467,0.24116683,0.30745065,0.37810707,0.42277935,0.41615453,0.3594075,0.28825524,0.25020182,0.2724918,0.339342,0.40426192,0.42333433,0.387152,0.31988326,0.25598392,0.21408637,0.19402218,0.18599586,0.1826291,0.1803632,0.1784236,0.17601089,0.17275266,0.16832773,0.16290055,0.15645915,0.14916457,0.14148544,0.13436472,0.12852144,0.123851866,0.119790904,0.11614308,0.11365053,0.11314711,0.11465925,0.11693024,0.118379734,0.118253715,0.11704216,0.11596411,0.11565582,0.11601889,0.1162254,0.115757115,0.114557624,0.11308909,0.11200458,0.111577146,0.11179326,0.11206288,0.11182032,0.11060184,0.10835453,0.10541251,0.102142386,0.09993526,0.101248436,0.11016569,0.12805928,0.15264024,0.1764953,0.19413418,0.20281522,0.20516974,0.20384307,0.20201142,0.20093088,0.20143509,0.2031399,0.20539828,0.2070213,0.20555677,0.19741334,0.17962734,0.15314746,0.12445971,0.10331603,0.09811271,0.10977002,0.13111073,0.1487829,0.15253499,0.14061059,0.12240689,0.109811395,0.108703636,0.11475989,0.119824104,0.11967806,0.11653467,0.11479193,0.116798036,0.121946454,0.12840505,0.13416845,0.13748813,0.13731098,0.13292377,0.12438002,0.11278787,0.10240636,0.09894276,0.1061653,0.12162846,0.13863759,0.15142433,0.16016829,0.1722194,0.20070092,0.26026997,0.3551335,0.4669775,0.55347943,0.5731778,0.5140701,0.40669575,0.3001289,0.2312469,0.20588486,0.20860966,0.21981148,0.22817117,0.23131369,0.23109846,0.22935642,0.22606279,0.22061199,0.21313387,0.20466529,0.19567977,0.18548225,0.17359805,0.16121869,0.15152788,0.14753003,0.15108083,0.16137533,0.17583664,0.19000159,0.20030324,0.2049213,0.20480579,0.20155817,0.1968063,0.19143917,0.1863314,0.18163238,0.17699583,0.17126936,0.16395633,0.15518887,0.14629664,0.1383154,0.13173158,0.12587911,0.120403774,0.11595563,0.11464923,0.11882249,0.1299846,0.1479441,0.16981769,0.19003724,0.20179184,0.20166641,0.19218759,0.18050945,0.17291224,0.17134435,0.17430957,0.1795938,0.18568747,0.19080363,0.192805,0.19016059,0.18396074,0.1776727,0.17546248,0.17861928,0.18457632,0.18779439,0.18410426,0.1733007,0.1599406,0.150054,0.14769678,0.15270518,0.16174145,0.17100012,0.17844898,0.1840669,0.18819992,0.19017678,0.18864848,0.18319033,0.17524976,0.16676898,0.15857214,0.14993422,0.14085114,0.13344115,0.1310294,0.13495696,0.14319117,0.153843,0.16906631,0.1951365,0.2336028,0.2749541,0.30002975,0.2971032,0.27512893,0.26693335,0.3042442,0.39360318,0.4994932,0.56906205,0.5639639,0.48990893,0.38460252,0.29078522,0.22957416,0.19914132,0.1873523,0.18363892,0.18287815,0.18315978,0.18401168,0.1847251,0.1838265,0.17951174,0.17141782,0.16137286,0.15234284,0.14635806,0.14363861,0.14317726,0.1436562,0.1440084,0.14343788,0.14166282,0.13896073,0.13599056,0.13331313,0.13109411,0.12931354,0.12798971,0.12720318,0.12670399,0.12593111,0.12439162,0.1225408,0.122253425,0.12690812,0.13983552,0.16176404,0.1887176,0.21363002,0.2308237,0.23962916,0.24312307,0.24411298,0.24304879,0.23939453,0.23426843,0.22838826,0.22101964,0.2089038,0.19314213,0.17905682,0.1742929,0.17951934,0.18917346,0.1954935,0.19558583,0.19074081,0.18286794,0.17150144,0.15535118,0.13605785,0.11999056,0.11529363,0.12590332,0.14780508,0.17167544,0.18933867,0.19834422,0.2010424,0.20085722,0.19989257,0.19883907,0.19797485,0.19714876,0.19604601,0.1941278,0.19136131,0.18786353,0.18389708,0.17968287,0.17604141,0.17418079,0.1747873,0.17694385,0.17868842,0.17870367,0.17763622,0.17753239,0.18003003,0.18482076,0.18970257,0.19223447,0.19178958,0.19003962,0.1903354,0.19808002,0.22258039,0.27613387,0.36328837,0.4690136,0.55629516,0.58798164,0.5508262,0.46633244,0.3716375,0.29562414,0.2458024,0.21525665,0.19478528,0.17945874,0.1682948,0.16130726,0.15786408,0.15652953,0.15524942,0.15268694,0.14850283,0.14367723,0.13981764,0.13881277,0.14286786,0.15310363,0.16892104,0.18698423,0.20356815,0.2160856,0.22438495,0.2294321,0.23196362,0.23214106,0.23000069,0.22657926,0.22349556,0.2221808,0.22242697,0.22260517,0.22096603,0.21741132,0.21354099,0.21111637,0.21009882,0.20878983,0.20539738,0.20016749,0.19513609,0.19272418,0.1939364,0.19878013,0.20742196,0.22025411,0.23592687,0.25012255,0.25753513,0.25578734,0.24694927,0.23566408,0.22585057,0.21954153,0.2170072,0.21742666,0.21905236,0.22022748,0.22033702,0.22004919,0.21987872,0.21856959,0.21317811,0.2010959,0.18316658,0.16394287,0.14892145,0.13970554,0.13266048,0.12223438,0.10601465,0.08663166,0.06887481,0.056169733,0.049067914,0.046495155,0.04706792,0.04960294,0.052896664,0.05566929,0.05680108,0.055896457,0.05334126,0.050130893,0.0470583,0.04511963,0.0462268,0.054505903,0.07535848,0.11322448,0.16829087,0.2334646,0.2946777,0.3342038,0.34305927,0.3293967,0.32222384,0.3503941,0.42187265,0.507075,0.5602527,0.5483819,0.47750738,0.38153103,0.2974239,0.24210282,0.21219169,0.19577736,0.1834052,0.17127074,0.15924293,0.14860773,0.14066438,0.13616721,0.13511115,0.13791583,0.14528258,0.15815426,0.1754434,0.19423433,0.21047193,0.22116731,0.22555888,0.2246648,0.22091867,0.21646793,0.21309745,0.21117918,0.210396,0.2098444,0.20885067,0.20697917,0.20392899,0.19890559,0.19073172,0.17841299,0.16268106,0.1465332,0.13453917,0.13133945,0.13899444,0.15626447,0.17782204,0.19817698,0.21388443,0.22554505,0.23517103,0.24422573,0.2532222,0.2609224,0.26531005,0.26280257,0.2528598,0.23789231,0.22360153,0.21340448,0.2073745,0.20184238,0.19236434,0.17613013,0.15381204,0.12977536,0.10910494,0.09507448,0.08822319,0.08866926,0.09641238,0.11025963,0.12638497,0.14089204,0.15207177,0.16083793,0.16769166,0.17192525,0.1722636,0.16876452,0.16217898,0.15345009,0.14306991,0.13186489,0.12064884,0.1098902,0.09902534,0.0871301,0.07389324,0.06036446,0.048522573,0.04005015,0.035808936,0.035903696,0.04061934,0.049813375,0.062410176,0.075742416,0.087438166,0.09695711,0.10604163,0.11717353,0.13455494,0.16644292,0.22588484,0.31906807,0.43411016,0.53566283,0.5865173,0.56859916,0.49781737,0.4083384,0.33277202,0.28526044,0.2627117,0.25391003,0.24861865,0.24228776,0.23486064,0.22828853,0.22356875,0.22019352,0.21727209,0.21456754,0.21256198,0.21108896,0.20923086,0.2058493,0.20097835,0.19562866,0.19103599,0.18773864,0.18550827,0.18383998,0.18212111,0.17994873,0.17709331,0.17364848,0.16984726,0.16579413,0.16165383,0.15761025,0.15426409,0.15192163,0.15087415,0.15094359,0.15233886,0.1550047,0.15928014,0.16558973,0.1745794,0.18523373,0.1935998,0.19468571,0.18703167,0.17625172,0.17128368,0.1772239,0.1910037,0.20460983,0.21220072,0.21234357,0.20761608,0.2007557,0.1951666,0.19251005,0.19247808,0.1913414,0.18548745,0.17433642,0.16185665,0.15374623,0.15364814,0.16097583,0.17167728,0.18111582,0.18668145,0.18892674,0.19036806,0.19338082,0.1981401,0.2027567,0.20497288,0.2045459,0.20275533,0.20023972,0.19501776,0.18433607,0.16729067,0.14581646,0.12275546,0.10024496,0.0799266,0.064154975,0.056912377,0.06342783,0.08803802,0.13043897,0.18330795,0.23554385,0.27880487,0.31248143,0.33797193,0.3538206,0.3518032,0.33070815,0.30173877,0.29386494,0.3315525,0.41836575,0.5210784,0.58978456,0.58752334,0.517574,0.41693065,0.32785138,0.27246752,0.24783903,0.24032237,0.23813659,0.23674661,0.23554115,0.23511755,0.23549701,0.2361915,0.23591207,0.23339897,0.22800575,0.22057934,0.21276213,0.20656174,0.20305838,0.20176578,0.20014071,0.19569363,0.18881458,0.18383868,0.18545459,0.1938776,0.20375025,0.20869727,0.20656638,0.20011763,0.19320758,0.18721892,0.18129276,0.17493354,0.16969098,0.16895913,0.17545412,0.18964805,0.20799355,0.2252385,0.23641938,0.24020119,0.23807858,0.23332208,0.22918312,0.22863017,0.23396169,0.24396853,0.25351912,0.25428,0.24215169,0.21876387,0.191724,0.1672458,0.14849912,0.13401131,0.12062144,0.10510463,0.086772114,0.06879605,0.057204586,0.05861594,0.0764576,0.108549245,0.14630362,0.17850883,0.1971568,0.20149904,0.19650854,0.18765388,0.17692085,0.16269295,0.14327168,0.11954543,0.095729716,0.07649621,0.06473797,0.059990052,0.059840348,0.061358232,0.06292233,0.06424105,0.065924816,0.068255655,0.07111242,0.07396429,0.07647609,0.0783196,0.07942213,0.07982529,0.07984317,0.079765595,0.079818875,0.080109954,0.08069025,0.08218027,0.08945978,0.11516287,0.17976744,0.29447526,0.4448928,0.581492,0.6502562,0.6237934,0.52548844,0.4037366,0.3021263,0.23452769,0.19491035,0.17248397,0.16234373,0.16328521,0.17232148,0.18425746,0.19338016,0.19695275,0.19496937,0.18923815,0.18178807,0.17404057,0.16741548,0.16240557,0.15926215,0.15704693,0.15531977,0.15382719,0.15294878,0.15262617,0.15238637,0.15158086,0.15009588,0.14831956,0.14723343,0.1472724,0.14874043,0.1508836,0.1534288,0.15612234,0.1598534,0.16536625,0.17273927,0.18034838,0.18545337,0.18613005,0.18266286,0.17775448,0.17392604,0.17246264,0.17343636,0.17780821,0.18637264,0.19723375,0.20559998,0.20698242,0.20221452,0.1949057,0.18852325,0.1831714,0.17964755,0.1800806,0.18627399,0.19620083,0.20511599,0.20960312,0.20981109,0.20828195,0.2070558,0.20628925,0.20468982,0.20088571,0.19462681,0.187149,0.18062101,0.17694573,0.17644382,0.17763786,0.17821853,0.17719507,0.1750953,0.1726895,0.16830695,0.15856388,0.14066146,0.11567982,0.08813449,0.06366998,0.045912683,0.035952993,0.03401987,0.041662347,0.061356936,0.09360289,0.1344081,0.1784936,0.22413708,0.27663282,0.3381509,0.4009488,0.4430405,0.44955122,0.4249378,0.40222144,0.4156852,0.47953105,0.5681331,0.6359241,0.6441126,0.58863753,0.4965181,0.40547213,0.33976984,0.30281913,0.28448448,0.2733024,0.2629349,0.2523643,0.24214573,0.23306511,0.22568709,0.22098662,0.21929288,0.2190607,0.21732993,0.211308,0.20059542,0.18717717,0.17409529,0.16347294,0.15561159,0.14958416,0.14433189,0.13939239,0.1348899,0.13099845,0.12801877,0.12620272,0.12606744,0.12782085,0.13115837,0.13482137,0.13704176,0.13674705,0.13493161,0.13501436,0.14029793,0.15141337,0.16537781,0.1790059,0.19082926,0.20080982,0.20694523,0.20680277,0.20039819,0.19317995,0.18928008,0.18688793,0.17635141,0.15152185,0.11490881,0.07806011,0.0504435,0.03484315,0.027480662,0.0238219,0.021237431,0.019152021,0.018183962,0.0198799,0.026936263,0.041714847,0.064094976,0.089623116,0.111657135,0.1252958,0.13070953,0.13188393,0.13279343,0.13467236,0.13611759,0.13581373,0.13353385,0.13027728,0.12632827,0.12148442,0.115555875,0.110116124,0.10753367,0.109512895,0.11496798,0.12122377,0.12564538,0.12779392,0.12843134,0.12856096,0.12820692,0.12721337,0.12566084,0.12405861,0.12280872,0.12205281,0.121728025,0.121603124,0.121634595,0.12592001,0.14611635,0.20272608,0.30795577,0.45055023,0.58425957,0.65686375,0.63912594,0.5507197,0.43833098,0.34730852,0.2948724,0.27448273,0.27014908,0.26971066,0.26819053,0.26464757,0.26001537,0.25499958,0.25023952,0.24576564,0.24185169,0.23874204,0.23650055,0.23432523,0.2311018,0.22646356,0.22124304,0.21697783,0.21452771,0.2139814,0.21463127,0.21599232,0.21725972,0.21766485,0.21590401,0.21143855,0.20450616,0.19669043,0.1895783,0.18430905,0.18083729,0.17835708,0.17564921,0.17174713,0.1664225,0.1603229,0.15456903,0.15026782,0.14797433,0.14798951,0.15065533,0.15731111,0.16942959,0.1869214,0.20532967,0.21753605,0.21779698,0.20727868,0.19234611,0.18026358,0.17384005,0.17226686,0.17314267,0.17405747,0.17229898,0.16574906,0.15563607,0.14780957,0.14926039,0.16221695,0.18105213,0.19697113,0.20469946,0.20606764,0.20624362,0.20891798,0.21372528,0.2183011,0.2207704,0.22134109,0.22100265,0.2199257,0.2164924,0.20921426,0.1986229,0.1873764,0.17695813,0.16564389,0.14994921,0.12910254,0.10719276,0.09074661,0.08521507,0.09210538,0.11073369,0.13787262,0.17186885,0.21208559,0.26257133,0.3223877,0.38212562,0.4191068,0.41850638,0.38645625,0.35834444,0.3704231,0.43635687,0.5294309,0.6027711,0.61583793,0.56177956,0.46662983,0.3706589,0.30288422,0.26911184,0.25817388,0.25509918,0.25129244,0.24541034,0.24040717,0.23934738,0.24331926,0.2505219,0.25752154,0.26079354,0.25861105,0.2513558,0.24113369,0.23038523,0.22094731,0.2133617,0.20739166,0.20241612,0.19824986,0.19468231,0.19160418,0.18858849,0.18549938,0.1822892,0.17922878,0.17673606,0.17550544,0.17595439,0.17780893,0.1803232,0.18362468,0.18872927,0.19644767,0.20518087,0.21239693,0.21652113,0.21921343,0.22261351,0.22745007,0.23232897,0.23672046,0.24219668,0.24945891,0.25567555,0.25434005,0.24251772,0.22343759,0.20563208,0.19483018,0.19144143,0.1916802,0.19246821,0.19288701,0.19297487,0.19197713,0.1888678,0.18389104,0.17912678,0.17635073,0.17552179,0.17483608,0.17300117,0.16986428,0.16516696,0.15701993,0.14255388,0.12080631,0.09457079,0.069582395,0.05143796,0.042732503,0.042619955,0.047529384,0.053531956,0.057581156,0.059228525,0.059745684,0.06120528,0.06466809,0.07065129,0.0801107,0.09489664,0.116418324,0.14322378,0.17113851,0.1950885,0.21281002,0.2253937,0.23627041,0.24790089,0.26077923,0.2759876,0.29976678,0.34577048,0.42350045,0.5258904,0.61975425,0.6670235,0.6463025,0.5735171,0.48388278,0.41195694,0.3688917,0.3487158,0.33754674,0.32699585,0.31454098,0.30224094,0.2927213,0.28790113,0.28786895,0.2910926,0.2947115,0.29618156,0.293762,0.28812453,0.28113294,0.27539793,0.27192497,0.2701647,0.26875222,0.26680568,0.26483712,0.26339865,0.2629061,0.26251635,0.26129004,0.2576136,0.24999197,0.23730917,0.22085743,0.20384385,0.1902485,0.18172757,0.17857777,0.18023668,0.1866579,0.19634706,0.20629059,0.21372391,0.21807177,0.22134368,0.22537912,0.23145525,0.23993205,0.25110438,0.26269272,0.26987988,0.26693928,0.25318083,0.23299176,0.21366976,0.19868541,0.18769091,0.17756659,0.16651694,0.15441807,0.14274488,0.13356428,0.12921168,0.13227592,0.14459579,0.16520779,0.18912418,0.2086731,0.2182513,0.21698485,0.20850877,0.19673872,0.18351252,0.16847265,0.15154727,0.13423206,0.1192401,0.10840875,0.102,0.098680936,0.09714463,0.09625376,0.095440626,0.09429642,0.09259582,0.09080163,0.09029835,0.094394036,0.10644283,0.12777232,0.15498169,0.18364029,0.21253169,0.247402,0.29162675,0.3410008,0.37899172,0.3950101,0.39171815,0.39404634,0.42677617,0.5000523,0.5897424,0.6521566,0.6464786,0.5659762,0.439937,0.3142049,0.22170673,0.16979252,0.1476645,0.14043927,0.13824777,0.13643779,0.13403352,0.13216756,0.13259132,0.13624078,0.14200379,0.1486453,0.15503237,0.16089138,0.16441685,0.1633413,0.15573229,0.14236464,0.12618507,0.110875785,0.09911126,0.09159192,0.087541066,0.08532072,0.08378994,0.082770914,0.08323514,0.08617714,0.09161363,0.09786063,0.10256252,0.104314744,0.104368575,0.10601235,0.11224987,0.12319732,0.13648784,0.1498069,0.16246696,0.1737216,0.18057746,0.17874719,0.16599035,0.14405364,0.117113024,0.08942985,0.06425491,0.04408474,0.030370258,0.022972092,0.020190539,0.01973424,0.019869685,0.019783638,0.019510223,0.019947363,0.02344308,0.034099743,0.055366356,0.0864056,0.11930462,0.14333558,0.15214862,0.14971383,0.14639209,0.15034606,0.16032283,0.16810215,0.16601889,0.15315971,0.13434388,0.11518609,0.09886235,0.08685848,0.08131909,0.084545396,0.096862525,0.115126275,0.13477959,0.15197943,0.16402125,0.16772354,0.15959153,0.13874438,0.10982877,0.08284997,0.068651356,0.07319928,0.094008416,0.1213184,0.14385091,0.15533805,0.1566726,0.15647145,0.16865516,0.21429758,0.30732358,0.4412721,0.573893,0.651504,0.6399196,0.5532604,0.43755278,0.33944535,0.27942267,0.2525135,0.24409916,0.24209316,0.24142349,0.24040394,0.23912732,0.23742104,0.23527056,0.23222385,0.22776811,0.22141753,0.21320063,0.20409173,0.19560826,0.18921818,0.18548764,0.18421091,0.18465193,0.1857933,0.18642835,0.18559672,0.18319738,0.18001331,0.17702556,0.17475994,0.17356293,0.17412426,0.17721927,0.18249047,0.1879139,0.19106454,0.19088031,0.18837637,0.1852085,0.18251334,0.18027854,0.17829777,0.17613904,0.17337595,0.16923587,0.16448505,0.16183127,0.1650876,0.17334832,0.17972042,0.17399222,0.15285805,0.121890225,0.09207042,0.0697687,0.055049885,0.044227753,0.035177212,0.027933761,0.023274025,0.02110278,0.020421652,0.02008346,0.019344514,0.018056147,0.016420022,0.014804772,0.013493544,0.012666874,0.012297086,0.012264341,0.012468223,0.013052995,0.014405535,0.01680892,0.020328714,0.025451073,0.034352522,0.050817568,0.077204354,0.111390434,0.14645492,0.1757346,0.19598667,0.20715678,0.20790656,0.19516112,0.16761655,0.12982008,0.09182168,0.06627809,0.06584633,0.102483034,0.17863236,0.28144923,0.3787291,0.44093093,0.45766068,0.45173904,0.45692435,0.4959084,0.5576882,0.60717845,0.6077268,0.54824674,0.4497262,0.34863222,0.27350673,0.23074841,0.2109322,0.20097171,0.1937006,0.18759269,0.18346857,0.18209992,0.1836158,0.18786202,0.19391263,0.20044339,0.20584576,0.20898874,0.20911895,0.20597617,0.19980673,0.1916029,0.18303223,0.17568164,0.17045172,0.16714163,0.16521163,0.16419165,0.1641273,0.16493972,0.16639225,0.16788864,0.16895562,0.16914089,0.16825986,0.16627872,0.16342108,0.15982151,0.15555541,0.15074992,0.1458448,0.1413277,0.13739961,0.13393068,0.13085192,0.12924689,0.13154711,0.14100932,0.15709291,0.17366953,0.1804855,0.17320931,0.15789355,0.147337,0.14930552,0.1607632,0.17305525,0.17997046,0.18221371,0.18322499,0.18548335,0.18825674,0.18952149,0.1877288,0.18277545,0.17576511,0.16784789,0.15982373,0.15183717,0.14471911,0.13994105,0.13939877,0.14317393,0.14957665,0.15587617,0.16067944,0.1642275,0.16790521,0.17278741,0.17886531,0.18480004,0.18830423,0.18722183,0.18040194,0.16837472,0.15267824,0.13500705,0.116083704,0.09630447,0.07671707,0.059900012,0.048382074,0.04293138,0.04163362,0.041703302,0.041234467,0.040192533,0.043024316,0.06155494,0.11726908,0.22523896,0.37642276,0.52446586,0.6142676,0.6156637,0.5479768,0.45724782,0.38442132,0.34355894,0.32760313,0.32384646,0.32212725,0.31788167,0.3091093,0.29708537,0.28407812,0.27209058,0.26147556,0.25099614,0.23991318,0.2283262,0.21764648,0.2093684,0.20392065,0.20083399,0.19877614,0.19780076,0.19890249,0.20367546,0.21199934,0.22151887,0.22900034,0.23221798,0.23137958,0.22814883,0.22434491,0.2207342,0.21670014,0.2110252,0.2032385,0.19469398,0.18839331,0.18657504,0.18937866,0.19414319,0.19768418,0.1975755,0.19291909,0.18423365,0.17399167,0.16723512,0.16977859,0.18305261,0.20236807,0.21845841,0.22641839,0.22652335,0.22404611,0.22219546,0.22272374,0.22524059,0.2288871,0.23149674,0.230231,0.22291833,0.20980966,0.19387566,0.17974477,0.16973233,0.16271366,0.15479197,0.14394785,0.1313668,0.12029943,0.11313003,0.10993749,0.10947644,0.11052642,0.1131635,0.11853728,0.12711345,0.13757704,0.14678918,0.15243505,0.15451689,0.15504366,0.15572093,0.1558855,0.153342,0.14637844,0.13683528,0.12919445,0.12806629,0.13387652,0.14566511,0.16527873,0.20285814,0.2653073,0.34631446,0.4173868,0.45166674,0.44301876,0.4218173,0.4277964,0.4832147,0.5680669,0.63575417,0.64214045,0.57761794,0.46908674,0.3588313,0.27634475,0.22774808,0.20355791,0.1922416,0.18680243,0.18407969,0.18259354,0.18137045,0.18017769,0.17871471,0.17719705,0.17596453,0.17610748,0.17796473,0.18099646,0.18349332,0.18389006,0.18151969,0.17662823,0.1704986,0.1646104,0.16094397,0.16009574,0.16167168,0.16354366,0.16439568,0.16336192,0.16087937,0.1568579,0.15146573,0.14480168,0.13780718,0.13147163,0.12682693,0.12447425,0.12468853,0.12690686,0.12972091,0.13144407,0.13114549,0.12912409,0.12719782,0.12830003,0.13643958,0.1529758,0.17527008,0.19557011,0.20799328,0.21090774,0.20826973,0.20354146,0.1982704,0.1919749,0.18493952,0.17846143,0.17378199,0.170883,0.16790308,0.16214538,0.15130918,0.13524683,0.11713591,0.10286791,0.099053316,0.10783193,0.12515582,0.14065795,0.14508188,0.13496107,0.116289906,0.09909611,0.09192253,0.09646418,0.11043934,0.12997,0.15261602,0.17362814,0.18777359,0.19047876,0.18330006,0.17159171,0.16116817,0.15352207,0.1455162,0.13328557,0.11644038,0.10123507,0.09596687,0.10524559,0.12475904,0.1454704,0.15979962,0.16631548,0.17070217,0.18493374,0.2290733,0.31762305,0.44636574,0.5759881,0.6556887,0.6512068,0.5753484,0.471692,0.38609242,0.33776832,0.32065588,0.3187673,0.32049677,0.32182923,0.32235634,0.32191467,0.3204271,0.31816408,0.3159803,0.31374428,0.31019905,0.3035923,0.2933701,0.28109494,0.26985636,0.26299456,0.26264605,0.2686831,0.27850798,0.2878456,0.29301405,0.29258323,0.28758755,0.2802095,0.27218023,0.26461005,0.2576592,0.25137395,0.2451865,0.23895912,0.23263814,0.22702847,0.2226187,0.21921279,0.215358,0.20962377,0.20186543,0.19367301,0.18749772,0.18536478,0.18883504,0.19871803,0.21495312,0.23367445,0.24808042,0.25041708,0.23950042,0.22069655,0.20359723,0.19411719,0.19345151,0.19861071,0.20554252,0.20993204,0.20820583,0.19857329,0.18212676,0.16312885,0.1474675,0.13943529,0.1386045,0.14011681,0.13834064,0.13149734,0.12252263,0.11681676,0.117916465,0.1259662,0.13774665,0.14946823,0.15801555,0.16243827,0.16320072,0.1620581,0.16087805,0.1611408,0.16285858,0.1638738,0.16035183,0.14906873,0.1305689,0.10942939,0.09131541,0.07858914,0.06976143,0.064629495,0.07005323,0.101286806,0.16835631,0.26365504,0.35572743,0.41308057,0.42603788,0.42078316,0.4352697,0.491478,0.57400465,0.64115113,0.6541762,0.6032068,0.51382595,0.4233586,0.35934606,0.32509366,0.31147456,0.3065258,0.3047137,0.30392185,0.3042586,0.30555987,0.30798957,0.31135666,0.31502128,0.3174988,0.31712365,0.31327435,0.30686387,0.29985365,0.2937758,0.2891973,0.28580248,0.2830154,0.28021848,0.27688116,0.27279425,0.2680485,0.2628791,0.2572141,0.25090703,0.24408436,0.23722853,0.23070727,0.2243061,0.21792756,0.2122342,0.20880532,0.20858371,0.21083276,0.21316476,0.21324599,0.21004649,0.20428683,0.19733006,0.19102724,0.18693727,0.18758218,0.19349444,0.20271647,0.20857938,0.20655411,0.19700213,0.18674289,0.18061085,0.17829408,0.17511348,0.16842036,0.15880127,0.14786124,0.13511924,0.11937151,0.10167996,0.08740876,0.083175115,0.09246465,0.111993454,0.13405354,0.15096843,0.1594795,0.16081019,0.15837759,0.15536402,0.15335317,0.1527872,0.1532523,0.15445566,0.15594389,0.15743066,0.15854597,0.15952708,0.16099755,0.16374576,0.1677429,0.1721928,0.1759085,0.17845501,0.1801998,0.18215494,0.18458247,0.18674208,0.18662466,0.18291903,0.17605269,0.16912478,0.16577375,0.16801359,0.17730431,0.19827054,0.24433078,0.32731146,0.44612908,0.57051176,0.6595237,0.68039536,0.6363123,0.55429673,0.47077048,0.406608,0.36690828,0.34516445,0.33369014,0.3273038,0.32285944,0.31883776,0.31440067,0.31004044,0.3066701,0.3045797,0.30420995,0.3052682,0.3076214,0.30960634,0.30982104,0.30771568,0.30407417,0.2999743,0.2953485,0.28985468,0.28322765,0.27630737,0.2703375,0.26643077,0.26511347,0.2659372,0.2676147,0.26842847,0.2672044,0.2642469,0.2605858,0.2570847,0.25338015,0.2489379,0.24400608,0.23999868,0.23824517,0.23886867,0.24048722,0.24174446,0.24272718,0.24561286,0.25287446,0.26370385,0.27334085,0.2747409,0.2656373,0.24905251,0.23229142,0.21959412,0.21183659,0.20697631,0.2037437,0.20168848,0.20064195,0.200091,0.19938974,0.19856225,0.19810212,0.19788776,0.19639735,0.19160514,0.18379842,0.17600627,0.17165558,0.17018504,0.16715445,0.15759575,0.14089315,0.12075906,0.10259384,0.089391746,0.081177406,0.0759524,0.072058894,0.06877928,0.06616106,0.06428256,0.062928505,0.06205857,0.061895937,0.06347824,0.06823618,0.07797546,0.0938397,0.117461465,0.15210712,0.20453541,0.27793086,0.36440313,0.43976954,0.47955045,0.4776338,0.4577489,0.45586607,0.49354473,0.5604078,0.6221647,0.6460302,0.62052685,0.55998117,0.4891989,0.42832956,0.38382986,0.35238484,0.32750463,0.3046008,0.28224933,0.26083735,0.24186231,0.22665961,0.2166307,0.21248692,0.21374738,0.21824981,0.22270183,0.22468667,0.22332937,0.2195496,0.21451624,0.20950468,0.20538896,0.20257032,0.20057584,0.19827604,0.19500892,0.19096397,0.1871228,0.18420224,0.18241608,0.18121083,0.17905627,0.17356318,0.1625989,0.1466155,0.12975268,0.11876053,0.119463824,0.13284609,0.15409295,0.17494674,0.1893385,0.19584404,0.19759642,0.1987865,0.20336293,0.21273439,0.22428113,0.2308432,0.22581573,0.20916706,0.1885017,0.17296724,0.16594867,0.16395174,0.16031356,0.15060906,0.13446492,0.115104355,0.0968798,0.08326957,0.0765345,0.07816453,0.08889348,0.1069111,0.12771128,0.14630298,0.16048782,0.17084622,0.17828085,0.1820317,0.18069452,0.17390688,0.16303153,0.15018943,0.13749665,0.12621023,0.11630175,0.10638693,0.09477651,0.0810366,0.06644528,0.053383406,0.0436117,0.037824795,0.03612919,0.039451618,0.049885374,0.06874928,0.094373435,0.1209313,0.14195257,0.15396196,0.1587688,0.16040225,0.16446255,0.17928459,0.22123277,0.30473587,0.4283434,0.5568952,0.63921016,0.636432,0.55501926,0.43678924,0.33083776,0.2616825,0.22667067,0.21046288,0.20097868,0.19411898,0.190013,0.18918951,0.19084294,0.19329791,0.19456534,0.19345964,0.18995345,0.1850921,0.17991056,0.17492002,0.17026162,0.16616541,0.16311435,0.16128725,0.16053921,0.16047204,0.16086672,0.16143541,0.16161169,0.16069365,0.15834077,0.15504144,0.15162908,0.14868493,0.14607799,0.14361608,0.14185588,0.14255208,0.14798187,0.15940583,0.17558907,0.19281928,0.20673937,0.21457869,0.2155056,0.20980597,0.19940877,0.18913929,0.18652135,0.1951189,0.21128255,0.22438036,0.22763018,0.22077401,0.21016745,0.20030029,0.193494,0.18935265,0.18725233,0.18492097,0.17921762,0.16771187,0.15167172,0.13687362,0.1305985,0.1366604,0.15159178,0.16762193,0.1779545,0.18182172,0.18274342,0.1849829,0.18969895,0.19503331,0.19820057,0.19786198,0.19508684,0.19130556,0.18698303,0.18044625,0.17028975,0.1556167,0.13708922,0.11554501,0.09310269,0.073150486,0.060876165,0.06233397,0.08255864,0.12262645,0.17676724,0.23484004,0.2882025,0.33568206,0.37956378,0.4187149,0.44443545,0.4489641,0.43591902,0.42437693,0.4402243,0.4966837,0.5807259,0.65134835,0.6656641,0.6050336,0.4910489,0.36638832,0.2687491,0.21067339,0.18433203,0.17471099,0.17141978,0.17054707,0.17215614,0.17734466,0.18658875,0.19863814,0.20999242,0.21667272,0.21659,0.21144815,0.20497905,0.20042114,0.19811577,0.19652976,0.19406374,0.19110309,0.18962125,0.19174786,0.19786668,0.20606655,0.21339808,0.21786685,0.21970545,0.2205637,0.22180577,0.22335128,0.22393645,0.22215623,0.21774425,0.21194454,0.20720464,0.2054931,0.2072553,0.21096158,0.21422642,0.21474744,0.21136887,0.20476677,0.19841166,0.19749312,0.20520304,0.21825834,0.22751544,0.22461367,0.20906894,0.18791385,0.16940619,0.15667133,0.14768915,0.13791527,0.12417632,0.10590004,0.08609423,0.06958673,0.061512113,0.065458,0.08220161,0.10834485,0.1356108,0.15499608,0.16144693,0.15759544,0.14942235,0.14157069,0.13361059,0.12335678,0.10978257,0.0954478,0.083962776,0.078471,0.07915777,0.08437734,0.09069612,0.09574923,0.09846815,0.10005949,0.10164485,0.10355414,0.10470592,0.104116075,0.10188824,0.09896555,0.09646513,0.09450263,0.09281076,0.09075866,0.08828539,0.08538296,0.08225492,0.081750244,0.09297793,0.13469554,0.22325392,0.35694373,0.5002346,0.60192776,0.6239608,0.570094,0.47695556,0.38789856,0.32727134,0.29652375,0.28528595,0.28238472,0.28107738,0.27797914,0.27194425,0.263172,0.2531629,0.2434414,0.23535208,0.22874497,0.22335482,0.21800394,0.21227308,0.20577103,0.19921291,0.19343488,0.18921566,0.18638612,0.18417239,0.1814564,0.17806007,0.17421608,0.17096414,0.16836362,0.16649063,0.16479768,0.16345574,0.16254057,0.16239318,0.1633528,0.16630374,0.17213428,0.18109483,0.19139427,0.20022498,0.20521939,0.20687295,0.20748363,0.2089907,0.21209024,0.21707194,0.226076,0.23944938,0.25557354,0.26911965,0.2777218,0.28036296,0.27829078,0.2708311,0.25940153,0.2474667,0.24024063,0.23926376,0.24214055,0.24407195,0.24258393,0.2376116,0.23102449,0.22414583,0.2176524,0.21160108,0.20607293,0.20143048,0.19817162,0.19640219,0.19557454,0.19458543,0.19325149,0.19255255,0.19411899,0.19752526,0.199427,0.19470327,0.18023449,0.15716271,0.13043877,0.10550696,0.08572981,0.072164096,0.0656481,0.068526454,0.08362641,0.111655354,0.14847581,0.18789418,0.22653966,0.26993367,0.32648492,0.3976176,0.46656975,0.5098327,0.5148545,0.49834085,0.49372467,0.5277694,0.59467596,0.6589823,0.6775624,0.6297896,0.52978057,0.41410446,0.31730506,0.2540191,0.22033012,0.2046113,0.19759132,0.1942359,0.19238956,0.19127554,0.19138868,0.19365703,0.1984547,0.20472787,0.21074219,0.2144811,0.2145418,0.20977879,0.2003629,0.1872292,0.17246425,0.15777777,0.14481421,0.13429272,0.12654051,0.12096083,0.11692974,0.11413574,0.11331284,0.11545021,0.12078065,0.12758207,0.13271368,0.13370106,0.13123761,0.12989216,0.13495018,0.14850253,0.16725014,0.18590994,0.20071219,0.21088912,0.21556409,0.21297519,0.20260654,0.18878758,0.1781968,0.17318565,0.16775535,0.15262459,0.124988645,0.09160408,0.06330136,0.045956183,0.03852963,0.03616764,0.035003643,0.033488616,0.03193109,0.031739373,0.03512694,0.044571754,0.06106901,0.08259461,0.10426882,0.121484935,0.13266893,0.13981505,0.1455156,0.15081507,0.15483886,0.1568316,0.15704851,0.15650865,0.15564317,0.15410443,0.15129249,0.14729173,0.14274983,0.13843596,0.1347035,0.13186295,0.13030715,0.13036771,0.13148116,0.13205202,0.13036983,0.1259365,0.120021485,0.11449348,0.11050708,0.10791916,0.106045656,0.10444713,0.10303252,0.1045709,0.11766324,0.16065009,0.25041223,0.3869978,0.5355118,0.6415375,0.6600957,0.5904693,0.47177342,0.35647884,0.2768321,0.23670287,0.22281806,0.22076301,0.22229564,0.2239746,0.22442943,0.22305365,0.22012194,0.21646261,0.21287413,0.20976366,0.20709656,0.20487966,0.2030108,0.20176096,0.20094876,0.2003147,0.19891487,0.19629216,0.19240503,0.18807572,0.1840138,0.18076672,0.17847769,0.17728442,0.17700201,0.17711405,0.17684503,0.17573148,0.17385353,0.17153285,0.16885667,0.1654142,0.16073452,0.15474792,0.14808196,0.14175834,0.13671164,0.13345307,0.13221572,0.13434489,0.1424354,0.15976213,0.18484186,0.21138756,0.22886746,0.23265569,0.22409122,0.21111548,0.1988209,0.18969168,0.18218406,0.17476507,0.16530536,0.15238939,0.13651015,0.121549815,0.11356843,0.11636465,0.12847084,0.14379983,0.15625356,0.16287927,0.16421396,0.16232975,0.15976904,0.1592117,0.16304193,0.17205043,0.18437754,0.19617553,0.20358087,0.2050798,0.20162237,0.19545399,0.18760966,0.17750372,0.16324908,0.14407933,0.12172696,0.10193791,0.09357505,0.1056442,0.14270085,0.20030527,0.26740122,0.33054087,0.38272703,0.4209031,0.4448898,0.45019504,0.43517748,0.40530702,0.3809156,0.38842055,0.444518,0.5374373,0.6253575,0.66085136,0.6213927,0.52652377,0.4181514,0.3334849,0.28374037,0.2614834,0.2526305,0.24851976,0.24608332,0.24654849,0.25210342,0.26387116,0.2799033,0.29496884,0.30272672,0.2986579,0.28298938,0.26039156,0.2380162,0.22147918,0.21261732,0.209431,0.20834948,0.2068017,0.20383082,0.19971965,0.19497012,0.19042426,0.18708245,0.18568164,0.18603618,0.18713455,0.1879733,0.18807514,0.18768276,0.18749613,0.18870111,0.19221997,0.19789426,0.20402975,0.20868121,0.21115969,0.2122144,0.2127337,0.2130332,0.21412827,0.21835537,0.22703522,0.23643456,0.23844157,0.22675455,0.20350492,0.17753708,0.15750365,0.14573734,0.13981558,0.136364,0.13377003,0.13142264,0.12894581,0.12636738,0.12424824,0.123404674,0.12379912,0.12487403,0.12611218,0.12828775,0.13277219,0.13988958,0.14671236,0.1474827,0.13714607,0.11566018,0.08896419,0.06566966,0.05253433,0.05257241,0.06483927,0.085208915,0.10673294,0.12255023,0.12903678,0.12769662,0.123066515,0.11959437,0.120245166,0.12744425,0.1438138,0.17020874,0.20351042,0.23669,0.2630136,0.2794857,0.28772026,0.2911586,0.2927461,0.2955879,0.30563116,0.3344277,0.39217028,0.4768938,0.5645501,0.62031513,0.6201735,0.56964856,0.49744257,0.4341303,0.39397618,0.374038,0.3645937,0.35877994,0.3543283,0.3517222,0.35096714,0.35121417,0.35093638,0.3490639,0.34582463,0.34176052,0.3372341,0.33190084,0.32561716,0.31911585,0.31312028,0.30812046,0.303436,0.2984788,0.29333293,0.28898555,0.28673545,0.28634635,0.28637126,0.2840816,0.2776737,0.26702347,0.25434738,0.242929,0.23496221,0.23069303,0.2293093,0.23083307,0.23577201,0.24324758,0.2500473,0.25305888,0.2513484,0.24710904,0.24227776,0.23903982,0.23898597,0.24541025,0.25780728,0.27099538,0.27507606,0.26531854,0.24517536,0.22451709,0.21010695,0.20231485,0.19696023,0.19033958,0.18130755,0.17068231,0.16043152,0.15261286,0.14952968,0.15235913,0.16107588,0.17291863,0.1840241,0.19077627,0.1922739,0.18967341,0.1844899,0.17715597,0.16716939,0.1544039,0.1397057,0.12473694,0.11146078,0.10120968,0.094477266,0.09040297,0.08760011,0.08477763,0.08157159,0.0784174,0.075959325,0.07523828,0.078383274,0.08927977,0.111332774,0.14402281,0.18192428,0.21885401,0.2540052,0.29051372,0.32900634,0.36060563,0.3735341,0.36298028,0.33817372,0.31413242,0.30136776,0.3000938,0.3049494,0.3104181,0.3131322,0.31101358,0.30310783,0.290589,0.27624047,0.2631637,0.25268686,0.24437147,0.23626833,0.22682385,0.21592772,0.20573795,0.1986308,0.19545995,0.19438334,0.19317661,0.19073443,0.18761505,0.18401092,0.17896076,0.17089571,0.15929927,0.1455154,0.13202219,0.1211678,0.113901556,0.10982087,0.107592046,0.1061166,0.10488424,0.104281925,0.10478885,0.106346704,0.10790815,0.10851648,0.109032094,0.11267433,0.12279626,0.1394717,0.15836352,0.17363648,0.18143667,0.18124203,0.17386675,0.16050889,0.1426933,0.12311382,0.104422905,0.088020116,0.07377357,0.06132431,0.051026043,0.043696165,0.039675992,0.038493454,0.039128974,0.040806327,0.043242518,0.046944533,0.05350736,0.06617424,0.0896677,0.12638156,0.17210889,0.2137592,0.23683424,0.23519331,0.217129,0.19833831,0.18986475,0.190693,0.19170006,0.1853144,0.17119889,0.1544822,0.1403541,0.13127339,0.12814458,0.13194872,0.14302026,0.15903996,0.17523712,0.18725508,0.19296594,0.19182049,0.18258882,0.16444495,0.13973255,0.116021715,0.10318198,0.106812716,0.12424014,0.1454836,0.16112506,0.16755308,0.16829027,0.17057343,0.18344201,0.21930397,0.28807855,0.38867995,0.49733385,0.57849634,0.6038882,0.57353336,0.5114412,0.44817594,0.40230262,0.3760712,0.3627831,0.3549757,0.3488767,0.34291384,0.33620688,0.3278787,0.31804383,0.30818185,0.30024275,0.2955297,0.29364666,0.29287484,0.29075268,0.2853644,0.27587652,0.26280987,0.24773492,0.23276167,0.21983564,0.21004742,0.20372953,0.20078667,0.20103103,0.203655,0.20733196,0.21058719,0.21273452,0.21330754,0.2115873,0.2062986,0.19714402,0.18547459,0.17388205,0.1641625,0.15675582,0.1515389,0.14978518,0.15353324,0.1638946,0.17918588,0.19640803,0.21358518,0.22915159,0.2406845,0.24338467,0.2354548,0.21941406,0.20255691,0.19044794,0.18534715,0.18548381,0.18788445,0.18917073,0.18721314,0.18151917,0.1744821,0.16956691,0.17002515,0.17545648,0.18288879,0.18813348,0.18950562,0.18701912,0.18078269,0.16874395,0.14860465,0.120694995,0.09003203,0.06369687,0.047211688,0.042183902,0.04830266,0.065214895,0.0918974,0.12403529,0.15383448,0.17443897,0.18383135,0.18481271,0.18013723,0.16957368,0.15103187,0.12509096,0.09685412,0.07420085,0.06296516,0.06495594,0.0773629,0.09563008,0.11407938,0.12880285,0.13776268,0.14202023,0.14317329,0.1426533,0.14088036,0.13873017,0.13718559,0.13685733,0.13697433,0.13630491,0.13396634,0.13000457,0.12453315,0.11730031,0.10781633,0.09619079,0.08367906,0.072500296,0.06554244,0.06506274,0.07174664,0.083588846,0.09725756,0.10965309,0.11921737,0.1249096,0.1251406,0.118155986,0.1040459,0.08626214,0.07060619,0.062174354,0.062888674,0.0711081,0.083337,0.09569142,0.10529222,0.11077758,0.112608165,0.111909,0.10952101,0.10555419,0.100322194,0.09469623,0.0898967,0.086549915,0.08451468,0.08317188,0.08209387,0.0811095,0.08012876,0.080536105,0.08841614,0.11762175,0.18512112,0.2971152,0.43624917,0.56159514,0.63276917,0.6317289,0.57620436,0.4992297,0.4311715,0.38205025,0.3496617,0.32629254,0.3063514,0.28587118,0.26248312,0.23731922,0.21391499,0.19667052,0.18674801,0.18260932,0.1812224,0.18110836,0.18235539,0.18744259,0.20123143,0.23346372,0.29466113,0.38752434,0.49554372,0.5857819,0.62738043,0.61236525,0.56068486,0.50190574,0.45592502,0.42426193,0.39982867,0.3757895,0.34893128,0.31580278,0.27335742,0.22284515,0.17350323,0.13700834,0.11992817,0.118539274,0.12431667,0.12992676,0.13304327,0.13552625,0.14468348,0.1761228,0.24651568,0.35849294,0.48511958,0.58107096,0.61118627,0.5761237,0.5083656,0.44464478,0.4051572,0.38890502,0.38721195,0.39044616,0.39213943,0.38770366,0.37627557,0.36100653,0.3467909,0.33685744,0.3313053,0.3276317,0.32375374,0.31863868,0.313366,0.30901548,0.30589142,0.30327025,0.3004702,0.29829326,0.29817286,0.30088234,0.3053485,0.3087738,0.30913273,0.30572712,0.30024123,0.29416087,0.2882177,0.2815887,0.2733986,0.2636955,0.25385922,0.24574892,0.240672,0.23813307,0.23647495,0.23353618,0.22839172,0.22106208,0.21198009,0.20236033,0.19488114,0.19457857,0.20372725,0.21930122,0.23198397,0.23478915,0.22736645,0.21640931,0.20886654,0.20781817,0.212074,0.21806788,0.22178684,0.21997935,0.21144862,0.19830509,0.18505855,0.17629202,0.17297836,0.17206176,0.16878593,0.16093792,0.14972953,0.13847709,0.12921724,0.12232069,0.11691854,0.11312082,0.11248963,0.117654204,0.13051873,0.15021753,0.1724794,0.19097303,0.20049639,0.19966376,0.1908827,0.1782214,0.1642744,0.14974791,0.13467629,0.12086537,0.111944295,0.11156329,0.12205652,0.14445037,0.1809629,0.23179741,0.29233143,0.3483193,0.38433775,0.39387667,0.3895942,0.39772406,0.43826303,0.50809234,0.5750336,0.6040575,0.57721543,0.5096232,0.42842603,0.35823962,0.30603313,0.26962394,0.24260819,0.22103049,0.20239206,0.18610243,0.17301069,0.16491552,0.16281568,0.16509129,0.16819088,0.16887742,0.16708077,0.16517629,0.16575253,0.16842723,0.1703047,0.16762333,0.15884382,0.14503391,0.12924926,0.114570506,0.103577636,0.098770864,0.102230124,0.11422205,0.13118221,0.14745568,0.1583187,0.16299023,0.16300452,0.15964596,0.15202206,0.13876924,0.12031037,0.10039147,0.08456593,0.077679545,0.080985874,0.09193643,0.10606948,0.121033765,0.13823284,0.16055757,0.1866793,0.20967479,0.22112517,0.21917325,0.20906757,0.19903833,0.19293888,0.19033368,0.18878941,0.1875655,0.18714483,0.18794797,0.18882681,0.18699686,0.17911339,0.1633373,0.14192069,0.12191945,0.11276894,0.12045518,0.14268567,0.16861151,0.18459947,0.18261962,0.16503203,0.1427096,0.12708995,0.1236048,0.13107066,0.14577867,0.16530783,0.18698311,0.20640285,0.2169668,0.21428211,0.19874974,0.17597793,0.15311094,0.13452579,0.12022495,0.10762321,0.09598544,0.08797192,0.08738706,0.09499305,0.10712395,0.1188367,0.12708618,0.13387524,0.14667444,0.18032527,0.24907364,0.35520983,0.47505298,0.5691827,0.6043212,0.5790973,0.52050894,0.46414864,0.4303547,0.4194639,0.42067316,0.42330918,0.42256406,0.41774794,0.41030195,0.40095213,0.39048395,0.3794503,0.3692695,0.3605117,0.35271016,0.34405902,0.33367655,0.32266673,0.31399047,0.31042793,0.31260633,0.31858373,0.3248441,0.32840395,0.32806024,0.32449955,0.3189421,0.31204757,0.3038267,0.29476443,0.2862114,0.279528,0.2745193,0.26957962,0.2634366,0.256541,0.2503344,0.24517804,0.23989958,0.23314284,0.22520185,0.21798934,0.21323536,0.21180153,0.21326281,0.21824378,0.22536927,0.2316006,0.2297421,0.21663292,0.19440015,0.17211552,0.1569495,0.1516701,0.1536635,0.1587981,0.16309516,0.16382144,0.1601182,0.1532222,0.14586961,0.14075886,0.13894586,0.13889213,0.13742359,0.13189755,0.122689545,0.113144614,0.107682966,0.10877512,0.11567646,0.12531322,0.13439928,0.14134419,0.14619975,0.1498835,0.15262987,0.15392584,0.15297072,0.1498456,0.14517732,0.1391366,0.1312371,0.1230958,0.120901674,0.13384944,0.16607517,0.21148904,0.25611255,0.2902604,0.3161087,0.34376812,0.37843978,0.40992162,0.42074952,0.40148816,0.36790493,0.35389385,0.3891327,0.47309557,0.5686942,0.6269694,0.6166112,0.54561317,0.4475392,0.35933557,0.2991378,0.26612678,0.25013447,0.24207647,0.23753129,0.23464765,0.23270135,0.23132978,0.23074223,0.23094074,0.23109181,0.23016648,0.22794686,0.22563498,0.22449397,0.22471116,0.22503228,0.2240782,0.22126131,0.2168963,0.21155423,0.20575444,0.2000707,0.19516195,0.19153275,0.18919349,0.18770373,0.18632145,0.18437141,0.18137251,0.1775859,0.17412157,0.17305355,0.17589629,0.18265979,0.19085956,0.19759375,0.20073819,0.20061846,0.1983266,0.19565521,0.19424538,0.19690417,0.20544936,0.2184943,0.22980297,0.23284627,0.22656725,0.2167127,0.20975327,0.20669395,0.20318373,0.19541742,0.1835293,0.17023318,0.1566805,0.1419156,0.12527002,0.10908473,0.09832563,0.09701753,0.105206095,0.1184146,0.13110645,0.13986784,0.14464192,0.14676617,0.14718348,0.14604001,0.14357246,0.14077652,0.13914303,0.13994657,0.14336842,0.14828958,0.15299903,0.15638256,0.15851502,0.15997167,0.16113925,0.16194385,0.16255043,0.16318001,0.16402791,0.16468292,0.16480194,0.16404943,0.162412,0.15978472,0.15678193,0.15493692,0.15641105,0.16389805,0.18170767,0.2190026,0.2854699,0.38355634,0.49567604,0.58974934,0.6333368,0.61743885,0.5592288,0.49153516,0.43996656,0.4127449,0.40317523,0.40072393,0.39932165,0.397652,0.3971325,0.39840713,0.40089247,0.403029,0.40294373,0.4003407,0.39589584,0.39159322,0.38812652,0.38445112,0.378737,0.370023,0.36000273,0.35064742,0.34336606,0.33745146,0.33149755,0.32460502,0.31700495,0.3104162,0.30641854,0.30558208,0.30655167,0.3069131,0.30484948,0.30000904,0.2936059,0.28715193,0.28137854,0.27631557,0.27158833,0.26753798,0.26470664,0.26342675,0.2631148,0.2631099,0.26435676,0.26974618,0.280503,0.2931336,0.29913136,0.29314885,0.27660993,0.25802162,0.2443214,0.2376972,0.2353922,0.2338385,0.2311874,0.22729103,0.22344351,0.22027285,0.21796353,0.21567482,0.2127286,0.2082885,0.20205484,0.19480097,0.18850343,0.18475677,0.18273838,0.17945774,0.17228292,0.16131294,0.14916073,0.13859184,0.13075365,0.12519757,0.12106482,0.118072696,0.11603373,0.11464705,0.11305071,0.11072918,0.107612856,0.10416118,0.10105547,0.09884887,0.09856955,0.10159763,0.111478955,0.13335662,0.17390007,0.23462267,0.30862638,0.37828517,0.4263136,0.44606337,0.44950387,0.45978725,0.49423775,0.5503736,0.6023648,0.620884,0.5907378,0.52397424,0.44577417,0.37973085,0.33431038,0.30611455,0.28610837,0.26657668,0.2439099,0.21868265,0.19418299,0.1737827,0.15992397,0.15374081,0.1555223,0.16363484,0.17471753,0.1846261,0.19090994,0.19332413,0.19307937,0.19156398,0.1898164,0.18878119,0.18899609,0.19069837,0.19345127,0.19644515,0.19868307,0.19960725,0.19919002,0.19719388,0.19233161,0.1828361,0.16834117,0.15131386,0.13632287,0.12821542,0.130718,0.1451742,0.16955942,0.19754028,0.22130221,0.23475857,0.23768961,0.2347296,0.23372483,0.23981269,0.25197083,0.26186112,0.26015973,0.2441771,0.2205465,0.20010047,0.18979023,0.18861817,0.18974328,0.18528523,0.17179763,0.15126415,0.12979853,0.11313683,0.10499401,0.10695628,0.11896039,0.13846748,0.15963216,0.17638458,0.18534212,0.18808709,0.18774177,0.18701969,0.186013,0.18412872,0.18027955,0.17401685,0.16500412,0.15351044,0.14040571,0.12684496,0.11356523,0.100300364,0.08669677,0.073236085,0.061774988,0.054146167,0.05156581,0.054335628,0.06318238,0.07807419,0.09735203,0.116381235,0.13043143,0.13717271,0.13827266,0.13695578,0.13702595,0.14463753,0.17212771,0.23368363,0.3325744,0.4479437,0.54007083,0.5740659,0.543933,0.47530505,0.4041741,0.3544871,0.3292167,0.319653,0.31596747,0.3133364,0.31011036,0.30557963,0.29837155,0.28773206,0.2744427,0.26154855,0.2523553,0.24856806,0.24877937,0.2498064,0.24875064,0.24496303,0.24004062,0.23645265,0.2356198,0.23710842,0.23917009,0.24031769,0.24008788,0.23899435,0.23730397,0.23480363,0.23091917,0.22609271,0.22173476,0.21988381,0.22130525,0.2252295,0.22942205,0.2321348,0.23284405,0.23276567,0.23352058,0.235986,0.23922797,0.24116604,0.24105942,0.2413075,0.24652396,0.2570494,0.26609853,0.26287743,0.24401848,0.217071,0.19473739,0.1833358,0.18010582,0.17883678,0.17581528,0.17069656,0.16315599,0.15242068,0.1383234,0.124020316,0.11451081,0.11383849,0.12112803,0.13165121,0.14016534,0.14475414,0.14634079,0.14659482,0.14624386,0.14576124,0.1457759,0.14683849,0.14846003,0.14937739,0.14817692,0.1437162,0.13497381,0.12112706,0.1025447,0.081476554,0.061732817,0.047569487,0.043525886,0.055806387,0.09146491,0.15420814,0.23787136,0.32667673,0.40241802,0.4548293,0.48369798,0.4935951,0.4870088,0.46367857,0.42770132,0.39244762,0.38141903,0.4118195,0.48153338,0.5591318,0.6049916,0.5933525,0.5318656,0.449324,0.37597942,0.32581568,0.29680774,0.28040004,0.26963696,0.26198635,0.25666824,0.252962,0.24946184,0.24519688,0.24013151,0.23500474,0.23045838,0.22657476,0.2232397,0.22072671,0.21944743,0.21932511,0.21948822,0.21946746,0.21979094,0.22198743,0.2266276,0.23260905,0.23725037,0.23852044,0.23616672,0.23176228,0.22726625,0.22403215,0.22261287,0.22264546,0.22289775,0.2217439,0.21837045,0.21359237,0.20894302,0.20552808,0.20333469,0.20229791,0.20245801,0.20393987,0.20704512,0.21311016,0.22373672,0.23638155,0.24317515,0.23451592,0.2091523,0.17541055,0.14595439,0.12680894,0.11586574,0.10655028,0.09446963,0.07939252,0.064326845,0.05305169,0.048062325,0.05035165,0.05960374,0.07463598,0.09235301,0.108469106,0.11950304,0.1251772,0.12774457,0.12877531,0.12721302,0.1201222,0.10619875,0.0874572,0.06898444,0.055892453,0.05087107,0.05295324,0.058859915,0.06508995,0.06968821,0.07232639,0.0737128,0.074529976,0.07527337,0.07587121,0.07614457,0.07569498,0.07451575,0.07289215,0.07148985,0.07078697,0.0708979,0.0715053,0.07225607,0.07464973,0.08470904,0.11575189,0.18272968,0.29120255,0.42380786,0.5438482,0.61383647,0.61975235,0.5784204,0.5221306,0.47795752,0.45445976,0.44781625,0.44928288,0.45293784,0.4550589,0.45457658,0.4516803,0.4472283,0.44141304,0.43400416,0.4248296,0.41484514,0.40524575,0.39725056,0.39082518,0.38519955,0.3791324,0.3720008,0.36432847,0.35723928,0.3515407,0.34670594,0.34133062,0.3345337,0.32678542,0.3199186,0.3151277,0.31219745,0.30920088,0.30446222,0.29778206,0.2909604,0.2865529,0.28585014,0.28760472,0.28818274,0.28416216,0.27454153,0.26168856,0.24931002,0.2412252,0.2401337,0.24812949,0.2633432,0.27997425,0.28885457,0.28573826,0.27260318,0.25680524,0.24293973,0.23229454,0.22364669,0.21715653,0.21294296,0.21072651,0.20922212,0.20792161,0.20678455,0.20568901,0.2039123,0.20077805,0.19649066,0.19187509,0.18775298,0.18432546,0.18120115,0.17796975,0.17457397,0.17174073,0.17039555,0.17080438,0.17149527,0.1694125,0.16153352,0.14681984,0.12725888,0.106660694,0.088747956,0.0754277,0.06686085,0.062410172,0.062113177,0.066947125,0.0784127,0.096300475,0.11901864,0.14553191,0.17977446,0.2292515,0.29678607,0.37462106,0.44420186,0.49264583,0.5183838,0.53757286,0.564506,0.60350794,0.63553435,0.6343877,0.58240503,0.48864412,0.38207436,0.2935238,0.23835324,0.21272932,0.20343518,0.19735426,0.18821365,0.17536753,0.16227223,0.1529929,0.1506431,0.15514885,0.16319339,0.16933733,0.16939016,0.1625362,0.15163153,0.14060722,0.13227677,0.12718718,0.12452412,0.123146474,0.1224002,0.1221247,0.12222598,0.122440696,0.1224314,0.12226025,0.12235257,0.12293092,0.123665534,0.12381187,0.123123206,0.12202235,0.12185636,0.12400079,0.1292913,0.13677245,0.14424247,0.14945185,0.15160912,0.15089898,0.14751314,0.14283778,0.14097184,0.14806156,0.16416632,0.17986663,0.17919435,0.15516186,0.11456687,0.07433897,0.04614368,0.03198531,0.026292635,0.023839401,0.022262095,0.021699956,0.023003468,0.026489312,0.031950567,0.038744356,0.046704367,0.055578828,0.06512346,0.074770585,0.08446249,0.09425694,0.1038677,0.1122636,0.11840635,0.12202564,0.12361612,0.12389342,0.123328574,0.12245369,0.12188813,0.12246815,0.12442105,0.12750243,0.13069516,0.13326609,0.13447821,0.13417546,0.13192831,0.12791647,0.12250316,0.116996594,0.112371884,0.10922701,0.10713794,0.10563296,0.10454642,0.104066916,0.105825424,0.115438245,0.14499874,0.20769584,0.30455494,0.41500857,0.501499,0.53409576,0.5070537,0.4443831,0.37788394,0.33182207,0.31025484,0.30599153,0.30815005,0.31074184,0.3116859,0.31092262,0.3083217,0.30405676,0.29882255,0.29338813,0.28764087,0.2808324,0.27248552,0.26315773,0.25410083,0.2466292,0.24153896,0.23893245,0.23790546,0.23698507,0.23466219,0.23050217,0.22490509,0.21889228,0.21303998,0.20787448,0.20362996,0.20085351,0.19943464,0.19889088,0.19778149,0.19503558,0.18995534,0.18323572,0.17594968,0.16946785,0.164344,0.16077243,0.15844761,0.15750748,0.15934291,0.16707845,0.18410844,0.2093042,0.23523277,0.25024852,0.24793138,0.23084359,0.20909812,0.19140041,0.18099505,0.1755685,0.17083944,0.16281411,0.14893228,0.12981287,0.10962433,0.0956833,0.09353451,0.10397775,0.120922185,0.13659345,0.14538357,0.14751273,0.14598334,0.14409149,0.14289804,0.14219677,0.14137435,0.14024042,0.1388761,0.13758123,0.13676558,0.1367887,0.13735421,0.13691309,0.13279924,0.122642376,0.106625855,0.08949518,0.08122089,0.09538593,0.14304756,0.22480607,0.32528433,0.4198505,0.487219,0.5228365,0.5357987,0.54007274,0.53908855,0.52675873,0.4948109,0.45042005,0.41866663,0.42674375,0.4797759,0.5477117,0.5864327,0.5654276,0.49097478,0.39466047,0.3119143,0.2607513,0.2393059,0.23527129,0.23612712,0.23558213,0.2326141,0.22974014,0.22933273,0.23207061,0.23608036,0.23854315,0.23724473,0.23179924,0.2233793,0.21414183,0.20617527,0.2006544,0.19726531,0.1948827,0.19257258,0.19038112,0.18865448,0.18746178,0.18624382,0.18470706,0.18310648,0.18227182,0.18274492,0.18449049,0.18679835,0.18895732,0.19071762,0.19299127,0.19699621,0.20344646,0.21094559,0.21736167,0.22093338,0.22221029,0.22254753,0.22330596,0.22538167,0.23032713,0.23986214,0.2516488,0.25840867,0.25044498,0.22602175,0.19260943,0.1632484,0.14494462,0.13725454,0.13510779,0.1350577,0.1357557,0.13635243,0.13609809,0.13499922,0.13474204,0.13650514,0.14002323,0.14335315,0.14537747,0.14630829,0.1469578,0.14642678,0.1420485,0.13106824,0.11343757,0.092503846,0.07333162,0.059816185,0.05299752,0.05184695,0.05455083,0.05973478,0.065855026,0.07164687,0.07590146,0.078654684,0.080468185,0.08317888,0.08933616,0.10273432,0.1256311,0.15660869,0.18897152,0.21490921,0.23000097,0.23658045,0.24042986,0.24663739,0.25691152,0.27282345,0.2998763,0.34704053,0.41866645,0.50569385,0.5844807,0.62919813,0.6265771,0.5853629,0.5287201,0.48002338,0.4499617,0.43589792,0.43027118,0.42771092,0.4277377,0.43056628,0.43580613,0.44138825,0.4464017,0.4506388,0.454613,0.457636,0.45823917,0.45548877,0.4497343,0.44307888,0.4369633,0.43210253,0.42765877,0.42316476,0.4190209,0.41622472,0.41531932,0.41496658,0.41316518,0.4084915,0.4018464,0.3957913,0.3928155,0.39361706,0.396498,0.3987234,0.39875188,0.39733517,0.3968567,0.3985789,0.4018636,0.4046556,0.40551805,0.4043803,0.40242004,0.40161607,0.4033761,0.4066932,0.40743098,0.400466,0.38436973,0.36283255,0.34220567,0.32642826,0.31517944,0.3061088,0.29725072,0.28844878,0.27964154,0.27078387,0.2619441,0.25449595,0.25078952,0.25208017,0.25722456,0.26251957,0.2645605,0.2621496,0.25686523,0.251074,0.24592446,0.24064004,0.2336526,0.22415853,0.21314615,0.20243923,0.19362898,0.18678243,0.18103904,0.17548521,0.16993928,0.16493134,0.16063583,0.1570791,0.1543476,0.15397094,0.15818338,0.16843148,0.18354662,0.20021886,0.21719037,0.23903184,0.27546558,0.33054462,0.39242193,0.43475175,0.43755934,0.40790537,0.3813622,0.39475253,0.45695055,0.53824437,0.5932505,0.5909671,0.5339532,0.44967487,0.3696866,0.31234923,0.27901685,0.26130062,0.2489022,0.23531425,0.21864633,0.20074968,0.18519147,0.17523372,0.172081,0.17385256,0.17596151,0.17373641,0.16510673,0.15227585,0.13959621,0.13094974,0.12709792,0.12660836,0.12711753,0.12745239,0.12726015,0.12680818,0.12586679,0.1243063,0.12211799,0.119931996,0.11809077,0.1165542,0.11460221,0.11197928,0.10895436,0.10684823,0.10677313,0.109491736,0.11422652,0.11982763,0.12501676,0.12949139,0.13257495,0.13310625,0.1310557,0.1299529,0.13657121,0.1525305,0.17010961,0.17337513,0.15395984,0.11662367,0.07761768,0.04902045,0.033791702,0.026881104,0.023299893,0.020592757,0.018464357,0.016941285,0.015874662,0.015078262,0.014483559,0.014121325,0.014026617,0.014180039,0.014457014,0.014674167,0.014614455,0.014188991,0.01345411,0.012615328,0.011867858,0.011311821,0.010903128,0.010498129,0.009955368,0.009225025,0.008411276,0.007710327,0.00729215,0.0071519217,0.0071178954,0.006951703,0.006546604,0.0059497673,0.0053389464,0.004873668,0.0046730363]