[4.5380817E-05,3.8212558E-05,2.459944E-05,1.1785822E-05,3.8449293E-06,7.37886E-07,1.7787011E-08,0,8.860166E-10,9.192044E-08,2.0486705E-06,0.00052583637,0.0032855684,0.011854346,0.029767431,0.057804685,0.091284655,0.12247834,0.14473964,0.15670115,0.16122836,0.16251312,0.16291235,0.16280901,0.1615461,0.15870138,0.15423238,0.14846647,0.14216106,0.13655777,0.13302386,0.13197045,0.13284163,0.13458078,0.1367854,0.13936406,0.14203937,0.1437313,0.14321543,0.13991849,0.13491271,0.13046058,0.12895389,0.1310404,0.1356213,0.14058329,0.14440411,0.14622383,0.14562972,0.14229667,0.1365568,0.13012815,0.12567973,0.12543957,0.12914409,0.13441764,0.13836747,0.1399762,0.14008112,0.139991,0.14003398,0.13937165,0.13754046,0.13522387,0.13434662,0.13612644,0.14015675,0.14450298,0.14736067,0.1480878,0.14704148,0.14490044,0.14207731,0.13916355,0.1373403,0.13820659,0.14265633,0.14953722,0.15626359,0.16027118,0.1609746,0.15934122,0.15672494,0.15363078,0.14995027,0.14585014,0.14178498,0.13800734,0.13414808,0.13020565,0.12735176,0.12731265,0.13060886,0.13553144,0.13932483,0.13992655,0.1370929,0.13192303,0.12608413,0.120897256,0.11674121,0.11308413,0.10924459,0.10547793,0.10291316,0.10261416,0.10444983,0.10722517,0.109518826,0.11062049,0.1104903,0.10962799,0.10853514,0.107931964,0.108130716,0.109233536,0.11061395,0.111723006,0.112128675,0.11217526,0.11256095,0.11395631,0.11626532,0.11853718,0.119558424,0.11861987,0.11597676,0.112585925,0.109550655,0.107552856,0.10659515,0.10608926,0.105370976,0.10410186,0.102953754,0.103231944,0.10667472,0.11371675,0.12330232,0.13263255,0.13936357,0.14243253,0.1427722,0.14178668,0.14061159,0.1392783,0.13738282,0.13443522,0.13081712,0.12768413,0.12673233,0.12907536,0.13450173,0.14148416,0.14784642,0.15205319,0.15339969,0.15206563,0.14818874,0.14201438,0.1338755,0.12507607,0.11750307,0.11318422,0.112659134,0.114980064,0.11811829,0.12061744,0.12180733,0.121677406,0.12038296,0.11860183,0.11798672,0.12042829,0.12674694,0.13532592,0.14315753,0.14748533,0.14753926,0.14407563,0.1385427,0.13209675,0.1257765,0.120455295,0.1171419,0.11641881,0.11848209,0.12265774,0.12792878,0.1329742,0.1367041,0.13803017,0.13624741,0.1312227,0.12437881,0.11817363,0.11517811,0.11581948,0.11858148,0.12107196,0.12235888,0.12279601,0.1231306,0.123229556,0.122493945,0.12062141,0.117857896,0.11471967,0.11142654,0.10860891,0.107432276,0.109670185,0.11568603,0.12385874,0.1308018,0.13421327,0.1336691,0.1307955,0.12685007,0.12285176,0.11925825,0.117786914,0.120041154,0.12685925,0.13598777,0.14343995,0.14501297,0.13919394,0.12731619,0.11282774,0.09947605,0.09003514,0.08569983,0.085930526,0.08909973,0.09317922,0.096658014,0.09892482,0.10021684,0.101168215,0.10237213,0.10404175,0.10583378,0.1066856,0.10548249,0.10191106,0.09715033,0.0930267,0.09061714,0.08958304,0.08889153,0.088156015,0.08792386,0.08926392,0.092867464,0.09901422,0.107382245,0.117484234,0.12830621,0.13875842,0.14742024,0.15340579,0.15647246,0.15745537,0.15726608,0.15645425,0.15463673,0.15127571,0.14587897,0.13885365,0.1317852,0.12723579,0.12730993,0.1315571,0.13735336,0.14131032,0.1421571,0.14053112,0.13815351,0.1357418,0.13279079,0.12866254,0.124158144,0.12266437,0.12864684,0.1458487,0.17421187,0.20977867,0.24535196,0.2745626,0.2938113,0.30364817,0.30643657,0.3044885,0.29833078,0.28715074,0.27184355,0.256693,0.24877058,0.25162664,0.26230034,0.27239072,0.27469042,0.2670382,0.25230297,0.23551166,0.2206942,0.20939003,0.20028102,0.19135524,0.18154632,0.17163092,0.16264428,0.15505649,0.14861046,0.1437804,0.14230424,0.14629455,0.15606819,0.1690958,0.1813689,0.19002187,0.1944145,0.19525765,0.19295472,0.1874985,0.17895508,0.16799809,0.15537833,0.14193386,0.12890784,0.11907529,0.11563205,0.12061819,0.13196939,0.14493637,0.15398593,0.15689188,0.15402526,0.1478312,0.1399283,0.13162419,0.12336326,0.116716824,0.11434012,0.120595194,0.13810034,0.16542552,0.19573323,0.22118473,0.236695,0.24199922,0.23932613,0.23191655,0.22345097,0.2177072,0.21697475,0.22021897,0.22425275,0.22595209,0.22501111,0.22285645,0.22105719,0.21890946,0.21475452,0.2074997,0.19861244,0.1906554,0.18584208,0.1844374,0.1855905,0.18776684,0.1895364,0.18934013,0.1862662,0.180216,0.17257576,0.16496186,0.15855646,0.15260397,0.14556314,0.1361,0.12542905,0.11724318,0.11658854,0.1260233,0.14284585,0.15890427,0.16531211,0.15789719,0.13989384,0.11907866,0.102900565,0.0945763,0.09293676,0.094474696,0.09618009,0.096738584,0.09606126,0.09421409,0.09103737,0.08678449,0.08222648,0.07858276,0.07667791,0.07703221,0.07936187,0.08299607,0.08658769,0.08893874,0.08916012,0.08735969,0.084477074,0.082174495,0.08229658,0.08624204,0.09433936,0.10535923,0.11726134,0.12841396,0.13914584,0.15108709,0.16534261,0.18041594,0.1928944,0.20018446,0.2027601,0.20398985,0.20780627,0.21639203,0.2291705,0.24251457,0.2518072,0.25330853,0.2471233,0.23632908,0.22551167,0.21760243,0.21340793,0.21203376,0.21223773,0.21299696,0.21344149,0.21297227,0.21149783,0.20979421,0.20907657,0.20995097,0.21180719,0.21291743,0.21174975,0.2074697,0.20035966,0.19078086,0.17907679,0.1651987,0.14985947,0.13468812,0.12249821,0.11625114,0.11844498,0.1294301,0.1466651,0.16482215,0.17886913,0.18634288,0.18818897,0.18663152,0.18364578,0.18027101,0.17705874,0.17437176,0.17241387,0.17106362,0.16956866,0.16653337,0.16089036,0.15311378,0.14587757,0.14209934,0.14270632,0.14536576,0.14683193,0.14498805,0.13998792,0.13275412,0.12503733,0.1190603,0.1180715,0.12463341,0.14017814,0.16312426,0.18886064,0.21027441,0.22186685,0.22275735,0.21635473,0.20675862,0.19555841,0.18291305,0.16907094,0.15587156,0.14485633,0.13645975,0.12974925,0.12384034,0.11874748,0.11480821,0.11196038,0.10896093,0.10482529,0.10051609,0.10075033,0.11129695,0.13449928,0.16475089,0.19172595,0.20605528,0.20587517,0.19554563,0.18289955,0.17323942,0.16791673,0.16391118,0.15846996,0.151595,0.14664346,0.14715616,0.15467376,0.1681244,0.1838938,0.19633102,0.19937767,0.19070946,0.17493956,0.16255605,0.16275465,0.17667441,0.19662426,0.21346442,0.22315419,0.22852808,0.23435007,0.24410526,0.25747424,0.27205834,0.2840766,0.29150453,0.2944286,0.29440597,0.2917736,0.2842525,0.26854047,0.24306154,0.21093152,0.17867659,0.15280913,0.13589907,0.12666705,0.12259075,0.12230539,0.12528835,0.13054357,0.13606198,0.13994779,0.14140195,0.14085533,0.13899818,0.13604684,0.13176309,0.12622264,0.12109554,0.12009296,0.1286874,0.15009053,0.18258403,0.21771617,0.24599437,0.26084402,0.2620462,0.25330052,0.24028198,0.22828996,0.21987273,0.2144077,0.20917432,0.20337343,0.19919555,0.19983844,0.20613591,0.21498595,0.22246611,0.22587363,0.22564293,0.22292078,0.21944165,0.21627413,0.21443892,0.21367878,0.21276347,0.21028997,0.20607309,0.20149726,0.19812024,0.19627167,0.19408147,0.18875279,0.1783238,0.16367863,0.14866072,0.13887964,0.13879472,0.14900357,0.16521806,0.18048747,0.18934755,0.19027011,0.18500787,0.17575882,0.16406883,0.151044,0.1383075,0.12726177,0.11867612,0.11253911,0.10933855,0.110639244,0.11805487,0.13100028,0.14490402,0.15335077,0.1516246,0.14002739,0.12326019,0.10798961,0.1000259,0.10172218,0.11118097,0.12300032,0.1326191,0.13963424,0.14852464,0.16449161,0.18912387,0.21852787,0.24556856,0.262981,0.2656783,0.2515063,0.22207911,0.18307702,0.142864,0.1091352,0.085587434,0.0715351,0.06394299,0.060414273,0.059874248,0.06198254,0.06550964,0.068698354,0.07000336,0.06948551,0.06820638,0.067377,0.067440875,0.068440795,0.07075607,0.07493945,0.08143517,0.09036451,0.10284602,0.12121082,0.14690842,0.17766954,0.20692044,0.22828658,0.23926663,0.24242522,0.2418294,0.24071728,0.2407084,0.24249518,0.24634218,0.25188455,0.258782,0.26629195,0.27359256,0.2790849,0.2814999,0.28016546,0.27577126,0.2697833,0.26415992,0.2608014,0.2606953,0.26332688,0.26639077,0.26706716,0.26301837,0.25359023,0.23985784,0.22439869,0.20984024,0.19766222,0.18805474,0.18085282,0.17566592,0.17082681,0.16301951,0.14939682,0.13023408,0.1094504,0.092041254,0.08217201,0.082955085,0.09771507,0.12717612,0.16699593,0.20617957,0.23401482,0.24486043,0.24108644,0.22775692,0.20955364,0.18899576,0.16819625,0.14933716,0.13451424,0.12527804,0.12284696,0.12855785,0.14281207,0.16354054,0.18482138,0.19991702,0.20612109,0.20931357,0.22195524,0.2529072,0.2974379,0.33528793,0.3458017,0.32316706,0.28120273,0.24007215,0.21169563,0.19680768,0.19261259,0.2021131,0.23035936,0.2746147,0.31785992,0.3395146,0.33164665,0.30406818,0.27186447,0.24218701,0.21347217,0.18694572,0.17231588,0.18521108,0.23106861,0.29757735,0.35486004,0.37857148,0.36418462,0.3306426,0.2998846,0.28294978,0.2761588,0.27090153,0.26157254,0.24762398,0.23167562,0.21673824,0.20620431,0.20330076,0.21027452,0.22546643,0.24298966,0.2556187,0.25953165,0.25738004,0.2550275,0.25793123,0.2656711,0.27462408,0.27900183,0.27679595,0.26881725,0.2597932,0.254015,0.25404134,0.25880042,0.26503637,0.2695247,0.27023223,0.2670212,0.26014245,0.2506772,0.23990041,0.22979958,0.22097664,0.21246321,0.20268273,0.19348244,0.19052511,0.19923787,0.21870838,0.24066329,0.25587165,0.26082405,0.26026595,0.2619778,0.27065685,0.28313375,0.29037094,0.2838287,0.26309276,0.23693888,0.21725325,0.21095328,0.21693318,0.22971927,0.24379106,0.25613475,0.26506624,0.26992717,0.2714374,0.27173778,0.27299735,0.27402377,0.27079403,0.25946462,0.24173076,0.22494055,0.21782826,0.22451924,0.24213195,0.263073,0.27936518,0.28667712,0.28577122,0.2813702,0.27785948,0.27572933,0.27042213,0.25704363,0.23454744,0.20856829,0.188015,0.18154995,0.19211389,0.21561496,0.24162745,0.26044014,0.26919913,0.27470252,0.28837827,0.31612897,0.351998,0.37937745,0.38467315,0.36618528,0.3351948,0.30406368,0.27981094,0.26387927,0.25858,0.2681371,0.29467404,0.3317535,0.36492133,0.38009813,0.37320462,0.35085797,0.32241336,0.29361466,0.2668805,0.24740781,0.2438599,0.2657632,0.3118594,0.367798,0.40847898,0.41865912,0.39987656,0.37029257,0.34420073,0.3257942,0.3081757,0.28589377,0.25823075,0.2305228,0.20801942,0.19340687,0.18535048,0.1811653,0.17828666,0.17512794,0.17061575,0.16543974,0.1626526,0.16817623,0.18591182,0.21365853,0.23986359,0.25142446,0.24167626,0.21678199,0.1891631,0.17063022,0.16574876,0.1730743,0.18658966,0.1996982,0.20800972,0.21087833,0.21005659,0.20704584,0.2023447,0.1957383,0.18746276,0.1782598,0.16924398,0.16122717,0.15437008,0.14815079,0.14193027,0.13537537,0.1286096,0.12274953,0.120676816,0.12774979,0.1483248,0.18078609,0.21405935,0.23367006,0.23130631,0.21120602,0.18568237,0.16691332,0.16058446,0.16598068,0.17799014,0.19098078,0.20100784,0.20791836,0.21394329,0.22203434,0.23322959,0.24633412,0.25834653,0.26624823,0.26763484,0.26111844,0.24609824,0.22415371,0.19897592,0.17626424,0.1607315,0.1560962,0.16374062,0.18410872,0.21412255,0.2472738,0.2736219,0.28484854,0.27831444,0.25843996,0.23355944,0.21163641,0.19798994,0.19419628,0.19791728,0.20407839,0.20786715,0.20999758,0.21792065,0.24429278,0.29342926,0.35482332,0.40123057,0.41165555,0.38344574,0.33693802,0.29322416,0.26258016,0.2426338,0.23216432,0.23815341,0.26750255,0.31551877,0.36080778,0.38295034,0.37507164,0.3474799,0.3114195,0.27294648,0.23438148,0.20391224,0.19457477,0.2175514,0.26965263,0.33136168,0.37395766,0.38113174,0.3570807,0.32279465,0.29514146,0.2794208,0.2703357,0.26246035,0.25309092,0.24123429,0.22587092,0.2068287,0.1880545,0.1761452,0.17685111,0.18940675,0.20763195,0.22457515,0.23812138,0.25133774,0.26665124,0.28134695,0.28655294,0.2757434,0.2500659,0.21983327,0.19643813,0.18676949,0.19098227,0.20462102,0.22096221,0.2330666,0.23697813,0.23276825,0.22381587,0.21368928,0.20526451,0.20031162,0.1997764,0.20277016,0.20722789,0.2112092,0.2142302,0.21656,0.21830244,0.2191539,0.21908925,0.21897393,0.22086005,0.22815257,0.24269517,0.26170996,0.27563193,0.2746692,0.25521663,0.22409756,0.19226462,0.16884702,0.15700479,0.15543802,0.16047257,0.16786553,0.17461425,0.17893302,0.18016146,0.17838562,0.17550635,0.17491508,0.17811954,0.1823616,0.18164147,0.17315353,0.16063184,0.15324251,0.15809645,0.17541243,0.19768167,0.21618049,0.22678988,0.2330277,0.2406153,0.25133497,0.25897548,0.254931,0.23492025,0.20419179,0.17349811,0.15435004,0.1527633,0.16855378,0.19431545,0.22027601,0.23831749,0.24883938,0.26027802,0.28549826,0.32832953,0.37814033,0.41155624,0.41271964,0.3822552,0.3371346,0.29262376,0.25650188,0.23115464,0.22226207,0.23905475,0.2844347,0.34864238,0.40793407,0.44030055,0.43489432,0.3982428,0.3438188,0.28634351,0.23737282,0.2080502,0.20876698,0.24483033,0.30910754,0.37991226,0.43069622,0.44741976,0.43573236,0.41344857,0.3930811,0.3755262,0.3541932,0.32514608,0.29058945,0.25630847,0.22720529,0.20533097,0.19072115,0.18292908,0.18110746,0.18413265,0.18974108,0.1962043,0.20291857,0.21224982,0.22492653,0.23804557,0.24277784,0.23364435,0.21190514,0.18763667,0.17012696,0.16462933,0.17010103,0.18275476,0.19693784,0.20730472,0.21033792,0.20583516,0.19565277,0.18252768,0.16834033,0.1549515,0.14337943,0.13439596,0.12760186,0.1227755,0.12055946,0.12287593,0.13147384,0.14579453,0.16250205,0.177621,0.19002162,0.20334095,0.22137345,0.2428004,0.25731027,0.25402376,0.22923797,0.19194788,0.1558085,0.13204676,0.124698095,0.13268347,0.15155213,0.17446895,0.1942038,0.20568347,0.20741872,0.20090918,0.18826886,0.17252286,0.156049,0.14165801,0.1300353,0.12136652,0.114697844,0.11017901,0.10795379,0.1080494,0.109320074,0.1111325,0.11517945,0.12679423,0.15005475,0.18231754,0.21110599,0.22312494,0.21372081,0.19132756,0.16852717,0.15307266,0.14437641,0.13831301,0.1318128,0.124438226,0.117831856,0.11703137,0.13135892,0.17101656,0.23471415,0.30352417,0.3465849,0.34578344,0.30697486,0.25619915,0.21485253,0.18967688,0.17584991,0.17219503,0.18690182,0.22654456,0.28503618,0.33820274,0.3641368,0.35425246,0.32008922,0.27547076,0.23147915,0.19397295,0.1723221,0.1784804,0.21829845,0.2824856,0.34370396,0.37429747,0.36249164,0.32186875,0.27576482,0.24084832,0.21822621,0.20095523,0.18406749,0.168674,0.15847357,0.15461956,0.15451966,0.1546241,0.1532104,0.15053706,0.14769147,0.14528805,0.14522626,0.15025775,0.16433658,0.18601842,0.20814855,0.21840078,0.21118067,0.19013356,0.16721763,0.15143342,0.14524601,0.14494878,0.14573193,0.14490955,0.14207003,0.14144684,0.15102707,0.18385942,0.24467532,0.324056,0.3931243,0.4280773,0.42271638,0.39565086,0.36603093,0.34136,0.3156494,0.28630707,0.26362136,0.26398608,0.29432228,0.34153104,0.3819641,0.39682695,0.38222042,0.34497514,0.29610845,0.2472349,0.2111402,0.20000446,0.22219984,0.27382806,0.33718666,0.38505766,0.40077373,0.38633347,0.3604181,0.33758005,0.3198806,0.29851738,0.26716974,0.22871639,0.19266759,0.16742806,0.15402089,0.14821087,0.14468163,0.14101331,0.13639562,0.13088973,0.12569007,0.124804355,0.1344794,0.15741515,0.18869476,0.21455418,0.22303051,0.21071659,0.18640643,0.16149126,0.14425263,0.13620389,0.13548969,0.13837993,0.14097786,0.1419356,0.14596215,0.16468732,0.20820455,0.27310157,0.33837998,0.37778422,0.38074338,0.3580196,0.33112746,0.31162366,0.29713854,0.28056592,0.26467595,0.26506862,0.2944508,0.34911624,0.40424728,0.43505633,0.43042254,0.3978355,0.34983578,0.29729164,0.25007257,0.21993439,0.2199399,0.2529749,0.3071756,0.35557044,0.37589124,0.36260724,0.33061567,0.29710913,0.27006486,0.24610753,0.22106068,0.1953355,0.17336017,0.15823579,0.1498499,0.14514539,0.14106357,0.1355912,0.1288609,0.12220973,0.11811376,0.11945551,0.12941599,0.14991696,0.17829745,0.20594263,0.22110493,0.21755145,0.19867139,0.17508298,0.15601557,0.14480633,0.13997883,0.13888185,0.14036606,0.14388913,0.15165041,0.16823246,0.2027529,0.2566904,0.31912008,0.36237916,0.36595598,0.3279325,0.27093974,0.21861285,0.18315141,0.16278176,0.1552621,0.16674595,0.2038842,0.26399451,0.3265262,0.3696116,0.38004884,0.36260197,0.32637838,0.28189263,0.23683526,0.2031502,0.19350828,0.21755026,0.2701145,0.33052814,0.36951974,0.37122214,0.34062538,0.29860982,0.2604831,0.22905658,0.19862597,0.16715074,0.13919953,0.12075294,0.11360187,0.11426104,0.11866805,0.124454506,0.13093303,0.13655144,0.13929439,0.13915151,0.14023282,0.14993113,0.17181964,0.20103274,0.22361533,0.22850691,0.21490937,0.19347294,0.17475046,0.16253193,0.15393686,0.14561754,0.1375984,0.13177879,0.13142772,0.14076912,0.16806471,0.21795087,0.2839637,0.34238824,0.36883128,0.35486197,0.31566146,0.27338707,0.24059264,0.21634854,0.19811477,0.19170903,0.20931983,0.2534386,0.30958784,0.351077,0.3629904,0.3486698,0.32520032,0.30324176,0.28422806,0.26648152,0.25481752,0.26202798,0.29443815,0.344586,0.38604715,0.39779472,0.37505224,0.33632627,0.30042216,0.2773864,0.26495087,0.25949368,0.25872678,0.26113272,0.2638407,0.26345327,0.25779572,0.24741636,0.23530781,0.22561908,0.22024548,0.21829562,0.21786416,0.22000067,0.22793935,0.24264188,0.25906765,0.2689811,0.26783666,0.2578786,0.2455935,0.23648477,0.23339617,0.23618804,0.24278061,0.2496932,0.255219,0.26181594,0.27619943,0.30483934,0.34613848,0.38746896,0.4094607,0.40061367,0.36470208,0.31802103,0.27489397,0.23954874,0.21024998,0.18895175,0.18759228,0.21522771,0.2683629,0.32415548,0.3615103,0.37074682,0.35985342,0.3371223,0.30866262,0.278072,0.25462103,0.25048804,0.2727889,0.31586424,0.36038938,0.3861357,0.38486305,0.36502782,0.3412389,0.32213736,0.3081207,0.29594764,0.28510273,0.27658787,0.27207044,0.27085656,0.27127317,0.27057445,0.2673734,0.26089954,0.25062132,0.2344467,0.21246016,0.18997407,0.17917937,0.18825923,0.21419843,0.24010807,0.2509211,0.24223216,0.2234181,0.20547383,0.1948874,0.19151175,0.19291414,0.19642617,0.20009394,0.20483029,0.21636052,0.24569292,0.29907128,0.36919537,0.43170258,0.46250185,0.45291793,0.41535524,0.36857232,0.32505894,0.28890845,0.26351172,0.25712392,0.2779067,0.32422948,0.38012883,0.4230739,0.43756512,0.42093372,0.37920094,0.32122555,0.25769994,0.20403852,0.17715715,0.19013762,0.24028023,0.30833733,0.36371103,0.38654467,0.37601805,0.34911397,0.32107484,0.29833826,0.27811453,0.256955,0.23260082,0.20455547,0.17407095,0.14580974,0.12726314,0.12439096,0.13732874,0.15901048,0.18015943,0.1949106,0.20501417,0.21749257,0.23826893,0.26593348,0.29082787,0.30261692,0.2975577,0.28147897,0.26349762,0.25033817,0.24319305,0.24015944,0.23866302,0.23732226,0.2366576,0.24024077,0.25487205,0.28732875,0.3360434,0.3876299,0.42167866,0.42708847,0.40782592,0.3792182,0.3517709,0.32688463,0.30124655,0.27792048,0.26939097,0.28603175,0.32561967,0.36825573,0.39403558,0.39361212,0.37294936,0.3405566,0.3025377,0.26475635,0.23710954,0.23365591,0.2607938,0.31165352,0.3636227,0.39498064,0.39661154,0.3775591,0.35213995,0.3288113,0.30700496,0.28319386,0.25708544,0.23156196,0.21045135,0.19550507,0.18669467,0.18259726,0.1818736,0.18291695,0.18483464,0.18671268,0.18964994,0.19579554,0.20878269,0.22795884,0.2471435,0.254539,0.24284655,0.21396685,0.1800917,0.1545148,0.14551029,0.15283547,0.16984713,0.18738873,0.19797492,0.20164965,0.20668705,0.22868492,0.27541584,0.3396847,0.39453712,0.41679636,0.3992602,0.3582277,0.31213358,0.27108377,0.23469545,0.20540106,0.19472389,0.2140624,0.2620573,0.31734523,0.35568655,0.36381853,0.34804282,0.31921104,0.28622255,0.25261372,0.22637075,0.21920907,0.24240804,0.29332384,0.3527579,0.39212394,0.39518276,0.36702773,0.3288577,0.29797947,0.27947998,0.26885882,0.26098862,0.25311705,0.24275221,0.22746132,0.20697667,0.186647,0.17483117,0.17712526,0.19134854,0.20936619,0.22406256,0.2344511,0.24590133,0.26302895,0.2849287,0.30367437,0.3121314,0.30901277,0.29991245,0.29016745,0.28057405,0.2677411,0.24899499,0.22497617,0.19917637,0.17677279,0.16556634,0.1767445,0.21871376,0.2868055,0.35817835,0.40446424,0.41132364,0.38749218,0.35310695,0.32200643,0.29619643,0.2744487,0.2620727,0.27015325,0.30322096,0.35185024,0.3939732,0.4124093,0.40317628,0.37729535,0.34676448,0.31843224,0.29376063,0.27608734,0.2749672,0.29760206,0.3413018,0.38627866,0.41185594,0.40706006,0.380311,0.3458428,0.31491223,0.28941914,0.2675711,0.2488064,0.23480879,0.22764789,0.22653198,0.22868414,0.23049861,0.22980905,0.22537391,0.21613826,0.20118994,0.18266515,0.1685793,0.1703162,0.19259728,0.2259012,0.24992156,0.24967791,0.22584291,0.19252318,0.16408695,0.14763324,0.1437093,0.15004836,0.16340376,0.17871235,0.1939882,0.21291403,0.24669392,0.2995514,0.36191174,0.40741906,0.41701043,0.38952002,0.34546813,0.3042886,0.27557936,0.25821215,0.25256178,0.26366484,0.29323122,0.33347848,0.3657917,0.37661508,0.3621143,0.33043686,0.28835675,0.24171919,0.19612937,0.16408403,0.161192,0.19841667,0.26950285,0.34837556,0.40079382,0.40843472,0.3789765,0.3369883,0.2998489,0.26882294,0.23511319,0.19426842,0.15082593,0.113390036,0.08836358,0.077495016,0.08089939,0.09784466,0.12594555,0.15887152,0.18817516,0.20866512,0.22209918,0.23699538,0.25820324,0.28206798,0.29394355,0.28342077,0.25018528,0.20825587,0.17287515,0.15535472,0.15780888,0.17668982,0.20373993,0.23047687,0.2526667,0.27391624,0.30360332,0.3470106,0.397517,0.43589714,0.4453231,0.42324594,0.38419124,0.34557915,0.3169739,0.29831037,0.2888794,0.29255775,0.31497288,0.35332572,0.39346775,0.41615155,0.41205725,0.38545406,0.3493341,0.31372726,0.28322396,0.26097587,0.2527561,0.2682668,0.30929533,0.36513433,0.40878,0.41997802,0.39544594,0.35481218,0.31688926,0.2891008,0.26427603,0.23532714,0.20194735,0.16995354,0.14497617,0.12926956,0.12397462,0.1303503,0.14901769,0.17597748,0.20325191,0.22321141,0.23418903,0.24123569,0.2495339,0.2587886,0.2607549,0.24806507,0.2198174,0.18488954,0.15349622,0.13235568,0.121233284,0.11705003,0.11593758,0.11542061,0.11396435,0.11152599,0.10942816,0.110328615,0.11625718,0.12701826,0.13925402,0.1488244,0.15304662,0.15212917,0.1479183,0.14252366,0.13751481,0.13348581,0.13028383,0.12690447,0.122849934,0.11827558,0.11476764,0.11361051,0.11534166,0.11825269,0.120060064,0.11880746,0.11454826,0.10856744,0.10255564,0.09782687,0.09496951,0.09451327,0.09659929,0.10161876,0.10879766,0.11670605,0.12280635,0.12563644,0.12478023,0.12154413,0.1172269,0.11311513,0.10958409,0.107109405,0.10606053,0.10751513,0.112336665,0.1207559,0.13160692,0.14344482,0.15641591,0.17271145,0.19456446,0.22119828,0.24823277,0.27044514,0.2840055,0.2884747,0.2855179,0.27963936,0.2753621,0.2754712,0.27794066,0.2795895,0.2814042,0.2922156,0.32006168,0.36257783,0.40279874,0.42388985,0.42070508,0.40390527,0.38617373,0.37389323,0.36566272,0.36074027,0.36271003,0.37641177,0.40015587,0.42331943,0.4326223,0.42144188,0.39338395,0.3569199,0.32028094,0.28831163,0.2664499,0.26072592,0.2784334,0.31849858,0.36799097,0.40219697,0.4029825,0.36961174,0.32075807,0.277365,0.25195703,0.24494368,0.2511978,0.26385322,0.27742758,0.28864047,0.29716703,0.30396333,0.30904016,0.310703,0.30627346,0.29501304,0.27935895,0.26529756,0.2589781,0.2624627,0.2716976,0.27836153,0.2763891,0.26471376,0.2474816,0.22900526,0.21242394,0.19872586,0.18833624,0.18047214,0.17403914,0.16928911,0.17070465,0.18755247,0.22768946,0.28877398,0.35309854,0.39743423,0.40858462,0.39284337,0.36837196,0.35066497,0.34432325,0.34679914,0.35643065,0.37593237,0.406042,0.43920007,0.46019113,0.457322,0.43157244,0.39355072,0.3553382,0.32218114,0.29735056,0.28415588,0.2904068,0.31882596,0.36299428,0.4029485,0.42048797,0.4094433,0.38210616,0.3550082,0.33864763,0.33230782,0.33097288,0.33026972,0.32829252,0.32399157,0.31650376,0.3060412,0.2947679,0.28595805,0.28148797,0.28066358,0.2817293,0.28463507,0.29095924,0.30047128,0.30786526,0.30441356,0.28406236,0.24894463,0.20884486,0.17580825,0.15848511,0.1594706,0.17596312,0.20069808,0.2252193,0.24224348,0.251021,0.2580965,0.27682397,0.31507376,0.3681202,0.41538918,0.43893075,0.43468478,0.4171373,0.40213558,0.39693484,0.3982348,0.40194526,0.40904912,0.42170373,0.43764436,0.4466304,0.43985078,0.4149842,0.3790373,0.33811224,0.2954481,0.25142935,0.21334183,0.19498937,0.21155663,0.2641939,0.33587098,0.3981174,0.4325262,0.43962052,0.43527594,0.4331492,0.4373554,0.4432828,0.44506064,0.4399929,0.42817488,0.41163027,0.39098772,0.36729288,0.3423839,0.32130468,0.30862704,0.3057223,0.30995014,0.31730855,0.32578233,0.3319387,0.3312849,0.31652656,0.28640807,0.24492462,0.20274176,0.16867034,0.14880466,0.14339788,0.14842434,0.15668105,0.16184728,0.16381742,0.16990882,0.19292335,0.24096154,0.3100092,0.38025463,0.42875782,0.4432212,0.43028185,0.4059323,0.3833393,0.36654732,0.35554767,0.35239872,0.3618412,0.38491043,0.41395354,0.43514088,0.4379423,0.42188695,0.39419925,0.36301723,0.33193144,0.3030982,0.2806454,0.27486408,0.29320645,0.33301485,0.37463823,0.3976481,0.39297476,0.3716587,0.34919834,0.33623266,0.33247685,0.33448538,0.33841014,0.34247616,0.34515533,0.34558502,0.34273955,0.33673695,0.32901514,0.32284406,0.32113695,0.32486984,0.33261824,0.3418682,0.34943137,0.35023835,0.33849096,0.311727,0.27521455,0.23920786,0.21237147,0.19693793,0.19056381,0.18995337,0.19196373,0.19276838,0.18832032,0.17914693,0.17417705,0.1896866,0.23569389,0.30384997,0.3658518,0.39504912,0.38573527,0.35712573,0.33339715,0.32623938,0.3324691,0.34535003,0.3642945,0.3902926,0.41955283,0.4389657,0.4385054,0.41625246,0.3813937,0.34120178,0.29983568,0.25877663,0.22615932,0.21558456,0.23812918,0.29021117,0.34964404,0.3887541,0.3921934,0.36677778,0.3316493,0.3039737,0.29093245,0.2918266,0.301713,0.31347522,0.3206124,0.32039225,0.31494057,0.3086274,0.30483714,0.3048419,0.3077059,0.31156108,0.31455746,0.31636512,0.3174095,0.31659508,0.31055906,0.2951117,0.26929745,0.23584421,0.2007785,0.17106734,0.15447766,0.15653755,0.17780942,0.21113609,0.24623424,0.2755688,0.30003873,0.3268247,0.36137307,0.40059984,0.43160555,0.4437461,0.4362471,0.42070666,0.408291,0.40305555,0.4006654,0.39752293,0.39536726,0.40088472,0.41753796,0.44033155,0.45715258,0.4572167,0.4375914,0.40182766,0.35722467,0.31103453,0.27318776,0.25342762,0.26127672,0.2959877,0.34516647,0.38391265,0.39399076,0.37288973,0.3385171,0.31084684,0.30222464,0.31083885,0.3286191,0.3459179,0.35695994,0.35988176,0.35644546,0.3495219,0.3421024,0.3360003,0.33161613,0.32817817,0.32537392,0.3240964,0.3254037,0.32707596,0.3235387,0.307889,0.2786081,0.2403657,0.20321107,0.1759516,0.1646604,0.17041479,0.19097863,0.21961717,0.24842851,0.2704089,0.2854501,0.29978564,0.32382166,0.3604845,0.40074646,0.42541757,0.42188883,0.39262334,0.35436335,0.32343718,0.3082216,0.30899107,0.32396457,0.35191905,0.38793162,0.42224255,0.44107696,0.43783888,0.4146565,0.38104424,0.34376478,0.3063431,0.2721333,0.24850853,0.24615179,0.2701727,0.31417862,0.35758233,0.37958992,0.37181747,0.3444892,0.31523585,0.29701695,0.29334557,0.3010173,0.3144851,0.3272994,0.3351197,0.33700916,0.33580944,0.3345883,0.3350962,0.3368295,0.33912346,0.34092116,0.34230614,0.34316376,0.3438681,0.34140447,0.3316166,0.31004903,0.2794992,0.24694388,0.22170238,0.20755856,0.20492637,0.2113085,0.22484964,0.24300653,0.26296905,0.28297004,0.3041843,0.331948,0.36839303,0.40842494,0.43663073,0.4418554,0.42414677,0.39760056,0.37552157,0.36331096,0.3585979,0.3597814,0.36994562,0.39184773,0.4212846,0.44553962,0.45148185,0.43414637,0.39799085,0.35109937,0.29990166,0.24924366,0.20696469,0.18510313,0.1977569,0.2465831,0.31538555,0.37151584,0.39309216,0.37948883,0.35202423,0.32832074,0.31505284,0.3071166,0.3005551,0.2943968,0.29099977,0.2920152,0.29800102,0.30770406,0.31986007,0.3330091,0.34586814,0.35605785,0.36128828,0.3608166,0.35566437,0.34706327,0.3341314,0.3159313,0.2941124,0.27338907,0.2573972,0.24531598,0.23460029,0.22535944,0.22191362,0.22717704,0.23834562,0.24725454,0.24703598,0.23661251,0.22090785,0.20581792,0.19473244,0.18699308,0.18029904,0.17257804,0.1637624,0.15515338,0.14845581,0.14429273,0.1421305,0.14077604,0.13953562,0.13813569,0.1365736,0.13454579,0.13190855,0.12874572,0.12545185,0.12238786,0.119848214,0.11802321,0.11697409,0.11644811,0.115971275,0.114979506,0.11323768,0.11098767,0.10934272,0.11020968,0.116030015,0.12833016,0.14662594,0.16794194,0.18846494,0.2052127,0.21718657,0.22476117,0.22905646,0.23135197,0.23305826,0.23495911,0.23701088,0.23829544,0.23868668,0.23930763,0.24243838,0.24943157,0.25990915,0.2718798,0.28315488,0.29231337,0.29905495,0.30390513,0.3072338,0.30805278,0.3039333,0.29287377,0.2762097,0.25966594,0.25120535,0.25659576,0.2760733,0.30428013,0.33352745,0.35735378,0.37225738,0.37689805,0.37146184,0.35746923,0.3381325,0.3169118,0.2962098,0.276763,0.25901428,0.24389333,0.2325585,0.22548996,0.2221763,0.22185607,0.223558,0.22632205,0.22852974,0.22861958,0.22526985,0.21848689,0.20950359,0.20061266,0.19371821,0.18948813,0.18716139,0.1857006,0.18451507,0.18348892,0.18241687,0.18093766,0.17885675,0.17618412,0.17288668,0.16875273,0.16376619,0.15849645,0.15401447,0.1514661,0.15160249,0.15453947,0.15974462,0.16603859,0.17196076,0.17571068,0.17555118,0.16992925,0.15920405,0.14629233,0.13590156,0.13028319,0.12668578,0.11910746,0.10439378,0.086325884,0.07403001,0.07621995,0.09634941,0.13090281,0.1717587,0.20949475,0.23763488,0.25375426,0.25933233,0.25766167,0.25221762,0.24520402,0.23614268,0.223337,0.20586552,0.18674731,0.17070292,0.16135633,0.15777017,0.15675826,0.15549047,0.15386097,0.15336749,0.15598707,0.16363363,0.1772817,0.19596367,0.21547657,0.23051684,0.23715192,0.23538192,0.22826344,0.22046508,0.2158982,0.21638153,0.22045292,0.22464299,0.22532374,0.22137517,0.21359403,0.20349644,0.19114071,0.17603147,0.15846689,0.14086446,0.12677515,0.11938509,0.12060257,0.13025506,0.14599065,0.16328712,0.1781302,0.18873721,0.196285,0.2024567,0.20785294,0.21173982,0.21341856,0.2133104,0.21277326,0.2131928,0.2145564,0.21487528,0.21108665,0.20128681,0.18664837,0.1707577,0.15754347,0.14947993,0.14813308,0.15447526,0.16822696,0.18620986,0.20308095,0.21388032,0.21666826,0.21250586,0.20362318,0.19175564,0.17796028,0.16339034,0.14964443,0.1382932,0.13031662,0.12604502,0.12578708,0.12981965,0.13784164,0.14820628,0.15834977,0.16616581,0.1709416,0.17311846,0.1729183,0.16974278,0.16241054,0.1504484,0.13504551,0.11974677,0.109640956,0.10951894,0.12076461,0.1401962,0.16117048,0.17761607,0.18666194,0.18932186,0.18865387,0.1879208,0.1894334,0.19360252,0.19926067,0.20403701,0.2063181,0.20597996,0.2046365,0.20401813,0.20428582,0.2037766,0.20030737,0.1938629,0.1867401,0.18233587,0.18208267,0.18512146,0.18901366,0.19191651,0.19297607,0.1923701,0.19045193,0.18763275,0.18401968,0.17976885,0.17497247,0.17009628,0.16550933,0.16215932,0.16084795,0.16268039,0.16702843,0.17235474,0.17602284,0.1771881,0.17628835,0.17487462,0.17345156,0.17172997,0.16908956,0.16559817,0.16175534,0.15815105,0.15487592,0.15185696,0.14863692,0.14474292,0.13930197,0.13167918,0.12172997,0.11029059,0.098908424,0.08906407,0.08164132,0.07637882,0.07251674,0.0690634,0.06567484,0.06243977,0.05993761,0.05855946,0.058343235,0.058715682,0.058863636,0.058278646,0.05775867,0.05969444,0.06741377,0.0821673,0.10164371,0.12006415,0.13280344,0.13876177,0.14132647,0.14550577,0.1554925,0.17247789,0.19337034,0.21275227,0.22570266,0.23110151,0.23074476,0.22734444,0.22278793,0.21798378,0.21372817,0.21050495,0.20885275,0.20857827,0.2090203,0.20882078,0.20702158,0.20362389,0.19986518,0.1972177,0.19645894,0.19732535,0.19900598,0.20066494,0.20163608,0.20175155,0.20154637,0.20232655,0.20501529,0.2095456,0.2146386,0.2190646,0.22199297,0.22307374,0.22180158,0.21788931,0.21155757,0.20375766,0.19542919,0.1872701,0.17960264,0.17292665,0.16755094,0.16343528,0.15953575,0.15434505,0.1461723,0.13435687,0.11922634,0.102572076,0.086927615,0.07599789,0.073526,0.081902586,0.09972689,0.121854044,0.14195643,0.15609153,0.16435456,0.16978042,0.17640574,0.1870697,0.20207262,0.21836166,0.23142643,0.23803116,0.23863177,0.23636483,0.23459189,0.23469104,0.2358935,0.23651297,0.23518962,0.23179273,0.22729416,0.22304408,0.21956207,0.21615578,0.21157528,0.20520063,0.19743933,0.18927063,0.18175383,0.17590033,0.1724617,0.17117451,0.17049783,0.16870563,0.16555713,0.16246243,0.16076493,0.16001761,0.15841717,0.15451677,0.14832443,0.14080393,0.13295753,0.12561822,0.11943295,0.11486233,0.11185914,0.11007746,0.10909179,0.10855714,0.10811176,0.10732701,0.10585195,0.103509836,0.10036194,0.09661055,0.0925136,0.08823679,0.0837845,0.07906603,0.07414595,0.06938537,0.06526073,0.06196232,0.059309527,0.057152003,0.055808302,0.055893835,0.05760056,0.06023035,0.062559836,0.06366048,0.063439064,0.062383696,0.061118122,0.05991496,0.058764864,0.057387993,0.055604327,0.053349525,0.050868284,0.048452586,0.046379283,0.044660047,0.043174535,0.04173753,0.04029173,0.038851526,0.037488222,0.036207065,0.034980193,0.03374088,0.03249513,0.031330947,0.030372305,0.029672546,0.029143928,0.028636714,0.028027058,0.027311789,0.026559047,0.025854945,0.025234232,0.024691006,0.024179054,0.023644244,0.023044148,0.02240519,0.021831907,0.021462405,0.021382188,0.021585552,0.022004612,0.02255346,0.023145879,0.023728356,0.024324702,0.025051655,0.0260272,0.027266903,0.028646728,0.029975662,0.03108267,0.031874683,0.032360304,0.032639176,0.032884147,0.033279434,0.03398131,0.03505436,0.036456108,0.038363222,0.04197902,0.05046307,0.068283185,0.09793201,0.1360094,0.17217691,0.19470704,0.19736415,0.18462272,0.16803461,0.16112195,0.17130876,0.19833155,0.23325896,0.26480392,0.28361288,0.28711364,0.27783468,0.26118118,0.24202068,0.22323279,0.20528696,0.1881723,0.17381394,0.16748565,0.1739307,0.19366704,0.22009327,0.24417746,0.25882998,0.26299313,0.25958994,0.2528843,0.24516523,0.23597567,0.22273766,0.20393495,0.18198718,0.16349947,0.15506198,0.15889455,0.17151117,0.186496,0.1980077,0.20320904,0.20295246,0.20049708,0.19922121,0.20018631,0.20241989,0.2041695,0.20490451,0.2066632,0.21568625,0.24221988,0.2929865,0.361617,0.42518386,0.4580457,0.45013118,0.41304445,0.36835334,0.33037707,0.30302438,0.28636238,0.28558853,0.30786285,0.35170662,0.40139732,0.43296885,0.43200144,0.40047964,0.35372946,0.3068492,0.26929998,0.2467522,0.24506569,0.27277312,0.32962617,0.40171814,0.4582964,0.47556627,0.4485772,0.39638957,0.3398079,0.29023674,0.24683373,0.20737123,0.17319721,0.14781721,0.13304028,0.1273456,0.1289991,0.13757293,0.15377134,0.17560995,0.19842105,0.21728855,0.23156427,0.24450545,0.25902495,0.27268627,0.2777148,0.26687092,0.23977514,0.20411004,0.1707691,0.14884663,0.14297618,0.1537615,0.17679012,0.20450397,0.22877073,0.24847941,0.271113,0.30969885,0.36756906,0.43137515,0.4744527,0.47956112,0.45023552,0.40756533,0.36933267,0.3406634,0.31873167,0.30540392,0.311029,0.342832,0.3933035,0.43779254,0.4530904,0.43271938,0.39046243,0.344363,0.30488428,0.2748523,0.25813723,0.26397336,0.29879943,0.35633972,0.41490546,0.45050168,0.45334896,0.43186674,0.4027228,0.3753518,0.35047612,0.32489797,0.2995228,0.2779975,0.26348636,0.2558901,0.2526404,0.25142515,0.25063813,0.24982648,0.2483985,0.24653333,0.24532165,0.24707377,0.25432512,0.26689264,0.28093347,0.28913832,0.28689757,0.27486417,0.25915867,0.24521832,0.23482935,0.22662872,0.21930106,0.21333598,0.20955127,0.21016045,0.22008373,0.24936652,0.30376282,0.3755262,0.4388758,0.46840587,0.45744872,0.4232553,0.38866904,0.36243704,0.33936295,0.31404126,0.29591715,0.3008059,0.3339353,0.37842402,0.40701556,0.40391836,0.3719364,0.3250955,0.27375114,0.22479743,0.18618603,0.17158072,0.19574724,0.26050562,0.3473946,0.41923067,0.447858,0.42975378,0.38902736,0.34911335,0.31792155,0.2863103,0.24612628,0.19935207,0.1559247,0.12492779,0.108926445,0.10629276,0.113405086,0.12676036,0.14141385,0.1528144,0.15859078,0.16117309,0.1662997,0.17879026,0.19739942,0.21395987,0.21875705,0.20833743,0.18753119,0.16520737,0.14726518,0.13490623,0.1263038,0.1193765,0.113132596,0.108639956,0.11193038,0.13436575,0.18754472,0.27003783,0.36109045,0.42845455,0.452176,0.4364953,0.40433308,0.37562445,0.35692143,0.34613216,0.34349716,0.35728335,0.39118543,0.43715075,0.47150394,0.47612402,0.44838777,0.40444896,0.36147812,0.32881787,0.30811664,0.30082342,0.31262037,0.34563312,0.39325592,0.43594256,0.45564786,0.4448464,0.4133174,0.37578583,0.34411693,0.32148919,0.30686304,0.2973039,0.2901744,0.28359368,0.2771338,0.2717456,0.26860058,0.26767445,0.26715216,0.26381353,0.25553575,0.24349333,0.23322833,0.23161964,0.2408443,0.25565323,0.26487467,0.26117408,0.2447996,0.22440188,0.20833741,0.20095378,0.20099102,0.2052155,0.21098804,0.21658684,0.2234062,0.23704362,0.26942822,0.3271811,0.40219152,0.46632862,0.49345458,0.47679958,0.43558893,0.392938,0.360026,0.3342196,0.31406808,0.30766973,0.32501912,0.3638586,0.40473226,0.42502823,0.41512477,0.38255087,0.34021327,0.29700413,0.2577035,0.23084883,0.22915798,0.26398367,0.33051768,0.40540078,0.4534107,0.45423672,0.41301158,0.35801974,0.31465554,0.29226354,0.28254342,0.2735769,0.25984427,0.24350405,0.22916435,0.21857761,0.21076305,0.20485051,0.20063688,0.19870608,0.19803411,0.19879065,0.20234613,0.21291722,0.23242742,0.25723827,0.27742922,0.28387693,0.27529666,0.2587388,0.24316406,0.23319368,0.22815157,0.22559889,0.2236286,0.22233714,0.22357713,0.2332236,0.26060364,0.3129395,0.38427988,0.45239496,0.4905347,0.48795286,0.4561516,0.41752174,0.38609838,0.36301646,0.3448635,0.33468413,0.3423955,0.37213466,0.41367558,0.44409242,0.44622478,0.4184835,0.37360516,0.32542965,0.28283885,0.25229922,0.24201663,0.26279095,0.31705034,0.3919021,0.4575107,0.48760676,0.47534868,0.4376736,0.39651355,0.36311433,0.33595112,0.31006065,0.28569987,0.26650152,0.25581893,0.25245756,0.25313294,0.25457087,0.25600958,0.25775567,0.25997472,0.26190484,0.2632295,0.26543543,0.2711326,0.2810776,0.29159328,0.29612803,0.29055098,0.27661583,0.26080033,0.24908863,0.2440021,0.24408601,0.24603625,0.24633239,0.24320428,0.2398239,0.24512948,0.27205777,0.32438064,0.39023507,0.44180444,0.45877686,0.44040093,0.40725824,0.37813425,0.3586252,0.34288752,0.32926401,0.3277429,0.34854233,0.38885018,0.42662266,0.44079968,0.4246154,0.39103794,0.3542064,0.32208705,0.29507875,0.27742788,0.27846667,0.30772004,0.36120072,0.4181317,0.45033145,0.44507447,0.41242006,0.3758463,0.34911653,0.33078465,0.31105563,0.28583917,0.2583257,0.23469768,0.21822242,0.20897897,0.20519514,0.20436853,0.20274504,0.19645995,0.18305206,0.16485332,0.14831959,0.14338158,0.15533818,0.18186857,0.2100479,0.22746158,0.22814049,0.21748567,0.20361938,0.19232464,0.1839559,0.1768583,0.16997065,0.16351134,0.16078605,0.16936354,0.20212574,0.26673853,0.3547924,0.4371152,0.48267612,0.47959635,0.44259918,0.3960184,0.3551872,0.3230019,0.30076134,0.29605785,0.3180066,0.36336288,0.41290972,0.44027755,0.43221602,0.3933151,0.34021464,0.28594467,0.23778743,0.20136571,0.18716042,0.20956354,0.27238053,0.3599187,0.4342914,0.46417108,0.44200647,0.3915831,0.33965015,0.29941544,0.26545945,0.23012732,0.19318269,0.1611389,0.13978334,0.12890436,0.12523511,0.1256444,0.12962504,0.1363371,0.14394405,0.14985244,0.15393887,0.15919371,0.16952921,0.18513352,0.20010026,0.20607339,0.19911997,0.18334983,0.16731371,0.15720524,0.15406103,0.15556844,0.1600699,0.16745915,0.17865328,0.19244178,0.2038446,0.20398207,0.1858059,0.14980887,0.106122635,0.06784745,0.043466244,0.032993164,0.031313237,0.032531384,0.03298316,0.031450313,0.028649135,0.025969112,0.024286894,0.023363017,0.02240915,0.021054009,0.019714838,0.019125244,0.019541452,0.020514885,0.021235032,0.021153035,0.02021154,0.018698366,0.016914515,0.015045532,0.013222632,0.011619236,0.010458888,0.009997177,0.010652255,0.013140532,0.018465945,0.027399482,0.03979947,0.053899825,0.0664478,0.073676236,0.07374478,0.06871213,0.06485475,0.068984814,0.08467066,0.11029905,0.14209972,0.17621757,0.20952024,0.2380385,0.2581295,0.2677883,0.2672679,0.25803512,0.24321324,0.22797883,0.21812801,0.21605869,0.21956615,0.22669339,0.24222946,0.27980122,0.34839356,0.43929815,0.5210068,0.562418,0.55452156,0.51791275,0.4810526,0.45992112,0.453653,0.45650545,0.46762872,0.48786387,0.5115991,0.5247798,0.5144602,0.47926602,0.42987838,0.3794737,0.33569863,0.30065683,0.27863228,0.27873176,0.31318298,0.38131526,0.46397462,0.5249,0.5396507,0.5089845,0.46030053,0.42062786,0.40309122,0.4039354,0.41408756,0.42585278,0.43487033,0.43992433,0.44142234,0.44133055,0.44056246,0.43921995,0.4355799,0.42897284,0.41986275,0.41109642,0.40499136,0.4010043,0.39412484,0.37763047,0.34941268,0.3140037,0.28013226,0.25338393,0.23475122,0.22190313,0.21269582,0.20503701,0.19718514,0.18950498,0.18848269,0.2078358,0.2616398,0.349565,0.4484502,0.52147394,0.5447951,0.5227441,0.48217452,0.44784942,0.42982593,0.42599952,0.43309155,0.45228803,0.48090854,0.5103267,0.5228699,0.5092519,0.47010243,0.4195852,0.3693252,0.32698146,0.2961377,0.28379846,0.30031964,0.34835887,0.4150609,0.47138762,0.49358353,0.47895864,0.44767657,0.42318892,0.4149275,0.41786802,0.4220437,0.4228326,0.41957855,0.41270185,0.4011226,0.3851399,0.36800337,0.35473204,0.347769,0.3454702,0.34372172,0.3406056,0.33739445,0.33713007,0.33927903,0.33827415,0.32504806,0.29464886,0.25045508,0.20461027,0.17133272,0.16081415,0.17463994,0.20597272,0.24290663,0.2744132,0.29774296,0.3205856,0.35863742,0.41914055,0.4925224,0.5503128,0.5708657,0.55302125,0.51946014,0.4927272,0.48184666,0.48166144,0.4852452,0.4921172,0.5041782,0.51904863,0.5261015,0.5142179,0.4805552,0.4320588,0.37850955,0.32516494,0.2753158,0.23693736,0.22569422,0.25720492,0.33014837,0.420871,0.49147114,0.5195814,0.5089371,0.48588803,0.4713255,0.4714557,0.47877264,0.4864218,0.49203503,0.49587545,0.49781325,0.4969944,0.49396828,0.48929715,0.483271,0.475311,0.4659278,0.45667586,0.44888034,0.44221333,0.43316117,0.41636893,0.3855426,0.33866623,0.2798961,0.22092022,0.1755054,0.1547402,0.16076738,0.18585412,0.2145158,0.23276436,0.23669411,0.23745446,0.25533465,0.30566213,0.38401365,0.46411085,0.51457554,0.5214635,0.49632713,0.4628891,0.43800235,0.42441544,0.4188976,0.42112997,0.4369342,0.46747017,0.5038988,0.5256892,0.5183286,0.4806496,0.4277834,0.3749014,0.33096024,0.29749158,0.27874675,0.285825,0.3268802,0.3940692,0.45702043,0.48596552,0.47175896,0.43481097,0.4012269,0.38530275,0.38373208,0.3884987,0.3948364,0.4019138,0.40872172,0.41290364,0.41236773,0.40745258,0.40058717,0.39516827,0.39352775,0.39641324,0.40279892,0.4102483,0.4145292,0.40981588,0.390975,0.35738483,0.31506312,0.27337494,0.24000289,0.21715675,0.2033449,0.1956237,0.19114079,0.1868667,0.18005574,0.17379946,0.18005104,0.21905296,0.29959404,0.40614986,0.49681213,0.5366059,0.51977736,0.4748031,0.43431315,0.41521046,0.41576037,0.42996028,0.45654666,0.4923956,0.5265215,0.5394481,0.52044463,0.47405395,0.4175315,0.36280334,0.3127986,0.26661554,0.23234141,0.22654335,0.26373824,0.33888867,0.42399934,0.48137522,0.49170446,0.4632853,0.4241762,0.3960761,0.3868523,0.39048567,0.3993338,0.40619984,0.40768433,0.40333006,0.39628688,0.3912202,0.39119664,0.3969071,0.40591097,0.4156208,0.4235398,0.42897794,0.43054435,0.4252715,0.40867162,0.37810373,0.3362067,0.29024926,0.24929686,0.22005476,0.20660158,0.20980221,0.22811228,0.25598872,0.28622258,0.31288445,0.337414,0.3688251,0.4158429,0.47458807,0.52443534,0.5425014,0.52245253,0.4804463,0.44067797,0.41716275,0.40987802,0.4134129,0.42701897,0.4536295,0.49018383,0.52366555,0.53554535,0.51754916,0.47450224,0.4211538,0.36889303,0.32439917,0.2926745,0.28220046,0.30380404,0.35677567,0.4240253,0.47278807,0.48256543,0.45492995,0.415203,0.38561943,0.37591827,0.38075647,0.3925463,0.40562573,0.4182324,0.42941442,0.43831885,0.44314292,0.44264737,0.43655637,0.42589608,0.41204527,0.39692345,0.38337627,0.37411836,0.36905923,0.3632518,0.3490293,0.32124242,0.282062,0.24088545,0.20947218,0.19605015,0.20121528,0.21924059,0.24087588,0.25914192,0.27090657,0.2809725,0.29952312,0.33965883,0.40161932,0.46934637,0.51357716,0.51915044,0.4929531,0.46080747,0.4415516,0.4395151,0.44793293,0.46222964,0.48336992,0.50997096,0.5333701,0.53804487,0.51553786,0.46920204,0.4126451,0.3576527,0.30998516,0.27262643,0.25202084,0.2603375,0.3054444,0.3797513,0.4558333,0.5027383,0.508222,0.48550203,0.45998487,0.44714367,0.4483551,0.45592502,0.464244,0.47044662,0.4736037,0.47269478,0.46684995,0.45664838,0.44353542,0.43040672,0.4193608,0.41217646,0.40863526,0.40828383,0.40873897,0.4063538,0.39542827,0.37249872,0.339457,0.30467454,0.27822676,0.26594058,0.26635823,0.27261433,0.277755,0.27923992,0.2796302,0.2848173,0.30153736,0.33759317,0.39451298,0.4619135,0.5138827,0.52859247,0.5038075,0.46240866,0.42976794,0.41690066,0.41782284,0.424975,0.43859997,0.4629829,0.49468708,0.51937133,0.5201106,0.49116406,0.44028565,0.38320693,0.33383045,0.30222037,0.29464272,0.31400514,0.35973665,0.42263487,0.4858966,0.52564234,0.52876,0.4986513,0.45679983,0.42292944,0.40642175,0.40413037,0.40979245,0.41836527,0.4263278,0.43113938,0.43154725,0.4288601,0.42567232,0.42417076,0.4251071,0.42719325,0.42843547,0.4264227,0.42075074,0.41129413,0.3977238,0.37809512,0.35245955,0.32377538,0.29658055,0.2730253,0.25341955,0.2389531,0.2321494,0.2329721,0.23573536,0.23371679,0.22819372,0.23430313,0.27226508,0.3473284,0.43694654,0.5004969,0.511206,0.4743947,0.42191455,0.3826414,0.36742297,0.37160268,0.39008686,0.42371824,0.4692472,0.5131105,0.5313256,0.5108675,0.45549366,0.38473907,0.31467268,0.25422367,0.20785199,0.18474726,0.19912243,0.25772122,0.34766364,0.43370017,0.4813788,0.48013625,0.44963643,0.41925597,0.40591884,0.4091142,0.4192586,0.42839456,0.43275788,0.432652,0.43029472,0.42812756,0.4273933,0.42808017,0.42971587,0.43212464,0.43545195,0.43986198,0.444319,0.4457579,0.4398595,0.42414394,0.40038112,0.3735967,0.3481159,0.32551742,0.30546904,0.28873113,0.27682808,0.27142778,0.2723337,0.27811566,0.28832877,0.3062887,0.34155262,0.3982476,0.46768215,0.52214557,0.53967327,0.51725507,0.47778186,0.44482955,0.42955485,0.4276934,0.43331897,0.44608843,0.46734655,0.49192595,0.5063331,0.49796674,0.46608424,0.42063758,0.37410724,0.3319689,0.2964773,0.27207407,0.26920745,0.2979077,0.35501826,0.42080942,0.46472144,0.47087964,0.44452608,0.41075292,0.38880992,0.38573787,0.39422247,0.40532985,0.41264263,0.4144738,0.41231644,0.40862617,0.40575388,0.4039165,0.40221524,0.39896914,0.39414406,0.38896933,0.38584185,0.3853149,0.3850266,0.37961265,0.3645639,0.33957013,0.3089343,0.2781561,0.25117555,0.23089498,0.21998559,0.21884282,0.22204743,0.22074294,0.21106893,0.20293073,0.21740766,0.27135757,0.35911357,0.45051423,0.50982517,0.52292496,0.5032192,0.47792983,0.4634674,0.46124312,0.46395788,0.4687749,0.478507,0.4942309,0.5102574,0.51279336,0.49265707,0.44822386,0.3883098,0.32238734,0.25972673,0.2097718,0.1857851,0.20327814,0.26653835,0.3598899,0.44695142,0.49687156,0.50244296,0.48430276,0.46711424,0.4628079,0.46771714,0.47381583,0.47656015,0.4751806,0.47021934,0.46252403,0.4534385,0.44505075,0.43845436,0.43359813,0.42902943,0.42446944,0.42100182,0.42035568,0.4207153,0.41608426,0.39898404,0.36747512,0.32752421,0.290202,0.2642145,0.2521074,0.25059068,0.25437728,0.25883934,0.26156092,0.26269102,0.267156,0.28437045,0.32524666,0.3885598,0.45612088,0.49720192,0.49512163,0.45760047,0.41277447,0.38297594,0.37477922,0.3823746,0.40073073,0.42975828,0.4667398,0.5014946,0.5170811,0.5040849,0.46580717,0.41574287,0.36424232,0.31483996,0.2696366,0.23771685,0.23575866,0.27632877,0.35316053,0.43756786,0.49334088,0.5034914,0.4776328,0.44264367,0.41729584,0.40732825,0.40652308,0.40880474,0.40926626,0.40712383,0.40378276,0.40289024,0.40693763,0.41594052,0.4271337,0.43743035,0.44480798,0.44909987,0.4504311,0.4491674,0.44432357,0.43524835,0.42077586,0.40229192,0.38211107,0.36393738,0.34927133,0.33800125,0.32811067,0.31828305,0.30853677,0.3011894,0.3007823,0.3139452,0.34855804,0.4057454,0.4739562,0.527189,0.5433741,0.51875645,0.47262907,0.42897415,0.40191057,0.39198756,0.39612854,0.41414478,0.44698486,0.48761454,0.5202196,0.5267213,0.50184613,0.453397,0.39727402,0.34467116,0.30227867,0.2748098,0.2702448,0.29812554,0.35846278,0.4347253,0.49474835,0.51511854,0.4950254,0.45785162,0.42721787,0.414384,0.41537073,0.42238942,0.429257,0.43394753,0.43616655,0.43637732,0.43478647,0.4315534,0.42688802,0.4206266,0.4127718,0.40392545,0.3960322,0.3908014,0.38682285,0.3777703,0.3548968,0.31387103,0.25930747,0.20304374,0.15730621,0.12961036,0.121772625,0.1307684,0.15008654,0.17163664,0.19003363,0.20751071,0.2353345,0.2889379,0.37176397,0.467451,0.54261154,0.57514906,0.566474,0.5411845,0.5198938,0.5093717,0.5042166,0.5017925,0.50676924,0.52220935,0.54203695,0.54904294,0.5307094,0.48620117,0.42835414,0.37052563,0.32175303,0.28674605,0.27173355,0.28557897,0.3321463,0.40110445,0.46648407,0.50116235,0.4965922,0.46649966,0.43540213,0.41804445,0.4156405,0.41939715,0.42182314,0.41994187,0.41543332,0.41137126,0.4096006,0.41041926,0.41254047,0.41397998,0.4126608,0.4073795,0.3989489,0.38965932,0.3822224,0.37614012,0.36703798,0.34785262,0.3152403,0.27194598,0.2267512,0.18936957,0.16799445,0.16601615,0.1810088,0.2043708,0.22614986,0.2424704,0.26032123,0.2962301,0.36062416,0.44649592,0.5245804,0.567368,0.5664217,0.540134,0.51169205,0.49394283,0.48580602,0.48457578,0.49246135,0.5116868,0.5360189,0.5502965,0.5408926,0.5056467,0.45232025,0.3905389,0.3257036,0.2631226,0.21348451,0.19336839,0.21824141,0.2866489,0.3762183,0.4488182,0.48067036,0.47276843,0.44997075,0.43274072,0.42813447,0.42985046,0.43219638,0.4337581,0.43637952,0.4408281,0.44568357,0.44846272,0.44764006,0.44356743,0.43740073,0.43008694,0.4218973,0.4130895,0.40362993,0.3909057,0.36980477,0.33420682,0.28379795,0.22484274,0.16866916,0.12382716,0.093959205,0.07697465,0.06853516,0.063280754,0.057883147,0.053287674,0.058801647,0.090905786,0.16420731,0.2729639,0.38557854,0.4588658,0.47225618,0.43841803,0.39201316,0.3578566,0.34326747,0.3440788,0.3594,0.3926331,0.4406602,0.48941126,0.5151314,0.50449544,0.45837006,0.39279556,0.3213137,0.2537739,0.1973658,0.1652462,0.17470287,0.23302798,0.32608357,0.41522798,0.46447122,0.4608827,0.42423657,0.383056,0.356739,0.34698674,0.34778488,0.352268,0.3568441,0.36007679,0.36266693,0.3653171,0.3682069,0.3702745,0.37086964,0.3704708,0.370676,0.37270418,0.37618175,0.37780693,0.3718593,0.3517059,0.31430534,0.26305345,0.20739597,0.1581871,0.122906156,0.103640825,0.097264595,0.09762547,0.098666854,0.0975448,0.09494934,0.09286469,0.09257186,0.09450244,0.09881669,0.10481572,0.11073797,0.11444548,0.11509391,0.113267094,0.11035336,0.107420556,0.104984544,0.10299469,0.101157546,0.099173464,0.09706313,0.09540244,0.0951171,0.096842945,0.1000717,0.10341835,0.105430566,0.105706476,0.104612045,0.10271958,0.10001943,0.09632837,0.09196416,0.08847535,0.08781698,0.091018505,0.09693012,0.10315468,0.1073701,0.10865589,0.10715029,0.10355542,0.09869707,0.09348639,0.089262165,0.087141655,0.0878796,0.09083253,0.095228255,0.10006576,0.10521785,0.11006416,0.114056826,0.11624664,0.1163454,0.11457168,0.11187374,0.1093946,0.10795119,0.10781578,0.1086536,0.10993215,0.11100528,0.11172307,0.112471275,0.11407647,0.117419355,0.12319543,0.13191698,0.14281486,0.15397973,0.16272183,0.16790873,0.16995639,0.17030878,0.16937698,0.16685565,0.16218488,0.1557075,0.14782627,0.13875942,0.1285915,0.118747026,0.11196003,0.110845484,0.11562491,0.12369963,0.13097739,0.13393825,0.13100724,0.122747295,0.11135832,0.09945046,0.08911901,0.08130222,0.076149136,0.07374754,0.074783035,0.079880856,0.0884941,0.098140486,0.105810545,0.10966385,0.11021755,0.10932637,0.108704954,0.10871219,0.10855872,0.107175656,0.10415427,0.09989757,0.09548366,0.09229427,0.09158075,0.09375972,0.09779448,0.10189366,0.1044297,0.10508215,0.10419959,0.10237526,0.09976888,0.09645522,0.09252819,0.08813146,0.08368095,0.080055855,0.0792296,0.08319078,0.09281636,0.106062464,0.11922636,0.12859538,0.13284081,0.13258381,0.1295542,0.12515429,0.12024522,0.11512778,0.10983638,0.10440583,0.09915591,0.09514918,0.09405074,0.09724087,0.10415659,0.11189132,0.11679929,0.11703075,0.11367161,0.10917932,0.10527992,0.10183799,0.098284476,0.09504216,0.09376835,0.09556974,0.09959426,0.10360313,0.10552514,0.10475097,0.10161463,0.09700188,0.09196105,0.08790502,0.08652907,0.088956535,0.09503153,0.102493934,0.10843679,0.11082354,0.110026896,0.10775947,0.1054448,0.10322529,0.10049886,0.09753247,0.09559088,0.0963446,0.09980315,0.10439339,0.10763397,0.1082885,0.106414825,0.10318226,0.09956095,0.09637629,0.09388884,0.09207222,0.0904558,0.08872664,0.08690702,0.08565255,0.08648101,0.09241879,0.10702258,0.13153069,0.1613075,0.18682615,0.19891077,0.1951729,0.18065296,0.16386701,0.15164869,0.1475782,0.15244754,0.1650495,0.18232453,0.20002826,0.21389723,0.22124326,0.22191691,0.21813472,0.21250457,0.20519574,0.19419684,0.17809089,0.16084902,0.1511265,0.1571485,0.17981607,0.21118458,0.24037194,0.25975546,0.2683121,0.267988,0.2610415,0.2481194,0.22956324,0.20646554,0.18190812,0.16112907,0.14976476,0.15075517,0.1623091,0.178446,0.19282253,0.20161855,0.2051811,0.20576479,0.20571975,0.20624942,0.20769532,0.20989807,0.21198095,0.21353227,0.21536118,0.21951403,0.22747947,0.23821342,0.24881871,0.2557636,0.25759515,0.25462928,0.24902856,0.2427359,0.23727043,0.23271428,0.2286668,0.22432965,0.21965618,0.21485704,0.21055578,0.20690592,0.2038929,0.20115149,0.1984194,0.19553918,0.19247977,0.18921794,0.18580495,0.18263744,0.1807542,0.18073715,0.18238543,0.18416192,0.18523824,0.18554015,0.18565758,0.18539304,0.18355791,0.178928,0.1707765,0.15969749,0.14727707,0.13580064,0.12764616,0.12456816,0.12731308,0.13496035,0.14487766,0.15394591,0.15980504,0.16223055,0.16178912,0.15952635,0.15563977,0.15081917,0.14560492,0.14113249,0.13796075,0.13678777,0.13773029,0.14063494,0.14430737,0.14745934,0.14912336,0.15009603,0.15214814,0.15788825,0.16805375,0.1815783,0.19490774,0.20564835,0.21267585,0.21700293,0.21859662,0.21736376,0.21304117,0.20711444,0.20104606,0.1957684,0.19079085,0.18547219,0.17949493,0.17316209,0.16692097,0.16111213,0.15600261,0.1518544,0.14897661,0.14736138,0.14664643,0.14604168,0.14485045,0.14263524,0.13954706,0.13609427,0.13294594,0.13045599,0.12840784,0.12626724,0.12368699,0.12105814,0.11908429,0.118181266,0.11801666,0.117918015,0.11750639,0.116815746,0.11603043,0.11507525,0.1137138,0.11191603,0.109892756,0.108038284,0.10642978,0.105083875,0.103976995,0.10335111,0.103279285,0.10351199,0.10333422,0.102221675,0.09983649,0.096542396,0.09238138,0.0879915,0.08344907,0.07967374,0.07652012,0.07413737,0.071512364,0.06834541,0.06412756,0.05922012,0.05402136,0.049346626,0.045842316,0.043793958,0.042916764,0.04258203,0.042261053,0.04173429,0.04103427,0.040254872,0.039441463,0.03861669,0.037769664,0.036899,0.03599518,0.03511552,0.034328725,0.033745866,0.033442304,0.033450875,0.03365079,0.0337892,0.03360574,0.033016633,0.03218634,0.031382028,0.030821519,0.030527584,0.030399114,0.030261325,0.030017314,0.029654607,0.029270692,0.028979525,0.028854193,0.028867153,0.028910162,0.028856121,0.028630346,0.028230568,0.027693585,0.027041903,0.026281869,0.025444545,0.024620563,0.023919182,0.02338896,0.02296623,0.022518277,0.021919088,0.021122785,0.020168716,0.019163037,0.018210666,0.017371787,0.016625797,0.015925946,0.015244119,0.014621531,0.014128693,0.013812486,0.013645434,0.013522257,0.013318952,0.012938779,0.012369591,0.011664641,0.01092815,0.010243349,0.009652469,0.009140637,0.008687566,0.008279828,0.007919525,0.007593699,0.007278342,0.0069515663,0.006608585,0.00625453,0.005879074,0.0054569375,0.0049699987,0.0044599953,0.0040363953,0.0038370197]