[0.0002529585,0.00035780165,0.0006084002,0.0009778539,0.0013888621,0.0017583893,0.0021343955,0.0030137787,0.0060887136,0.014181056,0.030479789,0.055057615,0.08388024,0.10973666,0.129061,0.14513284,0.16792582,0.2064081,0.26126382,0.32067052,0.36421037,0.37496272,0.3506799,0.3069402,0.26522133,0.24015842,0.23177274,0.23058443,0.2248411,0.20794922,0.18025935,0.14776036,0.11727705,0.09308634,0.075593196,0.06342354,0.05481782,0.048746455,0.04437171,0.041012537,0.03803979,0.035037067,0.03191367,0.028778048,0.025964784,0.023750097,0.022313816,0.021546781,0.021412835,0.022416184,0.025851319,0.03350106,0.046221733,0.06437879,0.08713186,0.11318076,0.13723947,0.15150596,0.1481319,0.12697676,0.09633314,0.06931956,0.055691093,0.057586443,0.07027362,0.086316496,0.1004309,0.11070282,0.11811509,0.12387247,0.12854154,0.1311385,0.13070266,0.12839684,0.12965716,0.1409247,0.16428638,0.19286408,0.21604837,0.22613318,0.22505379,0.2190084,0.21398617,0.2093034,0.20278154,0.19310974,0.18433839,0.18027472,0.1813374,0.1819275,0.1758436,0.16092868,0.14091481,0.1217028,0.10783864,0.09994707,0.09602005,0.09216082,0.08605143,0.0770994,0.06716317,0.057788,0.050077785,0.044060796,0.03975981,0.037200052,0.03694245,0.040950447,0.052885,0.077395774,0.11602797,0.16332363,0.2055974,0.22703643,0.21909106,0.18579067,0.1408421,0.09861227,0.06840769,0.053749617,0.055280168,0.071123324,0.09608776,0.12381458,0.15383162,0.19471653,0.25642332,0.3332065,0.3986247,0.4194515,0.38248506,0.30446005,0.2196687,0.15540983,0.12100485,0.11393913,0.13160205,0.17292567,0.23091984,0.28753674,0.32053533,0.31568587,0.27511293,0.213534,0.15003143,0.09936365,0.06951023,0.06133086,0.07102839,0.09223691,0.11915875,0.1484093,0.18091749,0.22055793,0.2716501,0.33261308,0.39484155,0.44523045,0.4741622,0.47853386,0.46134445,0.4296141,0.39399603,0.36698318,0.3568898,0.36152795,0.36817345,0.36218968,0.33763626,0.3001294,0.25935736,0.22012936,0.18057244,0.13890253,0.09780353,0.06336657,0.03931804,0.02553112,0.019287512,0.018059148,0.019836226,0.02309408,0.026629457,0.029939106,0.032896068,0.035361122,0.036874697,0.037113007,0.036272053,0.03504098,0.034081396,0.033702016,0.033837903,0.034327168,0.034886528,0.03530064,0.035349444,0.035025496,0.034448873,0.03386415,0.033536896,0.03345509,0.03340705,0.032936756,0.03194684,0.030622132,0.029524462,0.029011881,0.029133061,0.029502613,0.029627094,0.029151874,0.02800256,0.026302852,0.024302498,0.022383412,0.021036057,0.020533174,0.020574251,0.02035521,0.019153858,0.01694305,0.014280678,0.011886873,0.0102099,0.009454902,0.00952822,0.010001913,0.010288759,0.010057337,0.009478626,0.008913215,0.008495211,0.008091471,0.0077012666,0.008818309,0.01574667,0.03618991,0.07679459,0.13716923,0.20607059,0.26826838,0.31495273,0.34989116,0.3827703,0.4178947,0.44865516,0.46322206,0.45507097,0.42770138,0.3910632,0.35492262,0.32642686,0.31116804,0.3120613,0.32536098,0.33820984,0.33468673,0.3056922,0.2558461,0.1993661,0.15105559,0.11906452,0.105476946,0.109712385,0.12983166,0.1609431,0.1945494,0.2221697,0.23973644,0.24911296,0.25501737,0.26177084,0.27257183,0.29083705,0.31929782,0.35573375,0.38914466,0.40349913,0.38951883,0.3542184,0.317359,0.2959497,0.293638,0.30283025,0.31542706,0.32657158,0.33289096,0.32966673,0.31441745,0.28936574,0.26153845,0.23903821,0.22882317,0.23452799,0.2546325,0.28070524,0.3000573,0.30269626,0.29135576,0.2821164,0.29436603,0.331974,0.37850145,0.4082779,0.40730712,0.37967858,0.33909634,0.29566875,0.25214684,0.20973502,0.17293762,0.1508546,0.15155317,0.1780473,0.22479178,0.28121164,0.33632484,0.38375595,0.42138347,0.44812557,0.45976922,0.44773114,0.4043688,0.33071768,0.24172723,0.15888716,0.099043496,0.06547094,0.051936287,0.04949249,0.0523221,0.05670114,0.059778452,0.058903333,0.0532193,0.04422773,0.03503926,0.028246736,0.024777353,0.0242021,0.02588127,0.029220596,0.033455074,0.037956182,0.042836983,0.048470378,0.054001663,0.057299946,0.057109613,0.054691985,0.0525364,0.051637042,0.051148534,0.050164457,0.049054343,0.04828785,0.047803015,0.04703098,0.046102446,0.044691753,0.041982826,0.036788963,0.029629705,0.022395669,0.017224673,0.014717258,0.014075604,0.014071713,0.013964285,0.0136178285,0.013040616,0.012168488,0.010894377,0.009387553,0.008099035,0.0074713957,0.0076529942,0.008422441,0.009611991,0.011161085,0.0130979335,0.015013141,0.016264938,0.01633135,0.0155664915,0.014932748,0.015527941,0.017810134,0.021970175,0.028101841,0.036276083,0.046360146,0.059437204,0.07964847,0.113176726,0.16310309,0.22408676,0.28408453,0.33132303,0.36207715,0.3806889,0.39718053,0.421536,0.4602097,0.51061636,0.5611302,0.5960522,0.6046893,0.584902,0.5414864,0.48301443,0.4221135,0.37166974,0.33697525,0.3093947,0.27474514,0.22753517,0.17902593,0.14722231,0.14304553,0.16086231,0.18373208,0.19322103,0.18089111,0.15063028,0.114596605,0.08532826,0.07225182,0.08254676,0.12089822,0.18554632,0.26393917,0.33760986,0.39188936,0.422536,0.43109336,0.4188057,0.38666925,0.338994,0.2841526,0.23006223,0.18476708,0.1582277,0.16143419,0.19917555,0.26475686,0.34432098,0.42354307,0.49271783,0.5464899,0.58469135,0.6106233,0.6254547,0.62265974,0.59359574,0.53778845,0.46807554,0.39853358,0.33512807,0.27443397,0.21486129,0.15999088,0.115868695,0.084574275,0.06425485,0.052468896,0.049258262,0.057200413,0.0776267,0.10888201,0.14663123,0.19049294,0.2452618,0.31627637,0.39739093,0.46889433,0.50910705,0.512545,0.49448362,0.4784287,0.4774975,0.4881598,0.49608886,0.49013984,0.4711047,0.45095694,0.44031784,0.4350988,0.41772,0.3717868,0.29817945,0.21430744,0.14148167,0.091397196,0.06343244,0.05004398,0.04354531,0.039414197,0.03594871,0.032879915,0.03015955,0.02762132,0.025107263,0.022939572,0.022192275,0.024143683,0.029273728,0.036092132,0.041518662,0.042353883,0.037847936,0.030445466,0.02456352,0.023318576,0.026497236,0.030745229,0.03232822,0.029685361,0.024209196,0.018630423,0.014993437,0.013722166,0.01408011,0.015110965,0.016145682,0.01702174,0.0178217,0.018707426,0.019589372,0.020257153,0.020443514,0.020074008,0.01926331,0.018327206,0.017633721,0.017395047,0.017594678,0.017954124,0.018193536,0.01804137,0.017469257,0.01656817,0.015666619,0.014992622,0.014626548,0.014317843,0.013818882,0.013001406,0.012037836,0.011113041,0.010359727,0.00971815,0.009176279,0.008736442,0.008459572,0.008310215,0.008266899,0.008405167,0.008861914,0.009665475,0.010635228,0.011863592,0.014216053,0.019410769,0.02888467,0.042357963,0.05721337,0.06958369,0.076438956,0.07716021,0.073629655,0.06886844,0.06521032,0.06380558,0.06509065,0.07053576,0.08069233,0.09456265,0.10702804,0.11425763,0.113746285,0.10727465,0.095375426,0.079816684,0.0627944,0.04916576,0.04213844,0.041033983,0.04171206,0.04024994,0.03627149,0.032011632,0.0299349,0.02997835,0.030230423,0.028599778,0.024905873,0.020745292,0.018445387,0.01918553,0.022211285,0.025340838,0.02675032,0.026292995,0.025130175,0.024417942,0.024317428,0.024349237,0.02398481,0.0230634,0.02165229,0.020020965,0.018508397,0.017372241,0.016516322,0.0154992975,0.013871009,0.011572917,0.009065757,0.006980619,0.005719341,0.0052651367,0.0053777527,0.005800251,0.00633746,0.006793625,0.0070222043,0.0069629457,0.0067089214,0.00635021,0.0059814844,0.0056473743,0.005490513,0.005678371,0.0062680934,0.0070653707,0.0076692626,0.007911171,0.008083682,0.009096504,0.012108224,0.018143602,0.027459592,0.038896743,0.049990967,0.057667773,0.059999708,0.056800794,0.04979333,0.04122864,0.03315227,0.02668281,0.0221032,0.01903777,0.016748954,0.014647305,0.012484357,0.010479032,0.008899593,0.007900664,0.007379085,0.0071826894,0.0071280184,0.007095842,0.007046155,0.007128972,0.0075575723,0.008432404,0.0104186265,0.017403105,0.038707476,0.08618057,0.16250534,0.25168136,0.32223237,0.34889123,0.32991102,0.287115,0.24497448,0.21440692,0.19086945,0.16602087,0.13679527,0.10640194,0.07990494,0.06010667,0.046720386,0.037617493,0.030471416,0.024019897,0.018077968,0.013264805,0.010040238,0.008404224,0.007935238,0.008091565,0.008502722,0.008811838,0.008933189,0.00881037,0.00873597,0.011213449,0.024099223,0.06349045,0.14648317,0.27994725,0.44739363,0.61489993,0.7437558,0.8072106,0.79427344,0.71102333,0.58160216,0.443403,0.33427563,0.27052206,0.24237914,0.22316484,0.19361283,0.15064125,0.105414934,0.06875237,0.04512705,0.031844746,0.024680348,0.020261275,0.017136766,0.014669817,0.01290071,0.012029736,0.012360933,0.013625228,0.015114746,0.01598931,0.016382607,0.017316753,0.020137304,0.024861947,0.03017824,0.034162376,0.036242347,0.03727759,0.03860605,0.040228155,0.04164358,0.045137566,0.0593729,0.09750236,0.16750173,0.26225471,0.3592997,0.4347407,0.47625554,0.4841671,0.46208787,0.4118133,0.33936897,0.258001,0.18539385,0.13211367,0.099966854,0.08289429,0.0737893,0.06599121,0.056422036,0.045136195,0.03493734,0.028229134,0.025909273,0.026913153,0.029523036,0.03215387,0.03458524,0.03783569,0.04312755,0.04970939,0.054896757,0.055952206,0.05303811,0.049213037,0.0479033,0.049703196,0.05217232,0.052398782,0.049925894,0.046653494,0.044650543,0.043961365,0.04318558,0.041167375,0.03822206,0.035614703,0.03439005,0.03475596,0.03604013,0.037123736,0.0368329,0.03457286,0.030736005,0.026654571,0.023912912,0.023755297,0.027415494,0.03857516,0.065245874,0.11820224,0.20198043,0.30811024,0.4167529,0.51005167,0.5794681,0.6223129,0.6318521,0.60007876,0.5273813,0.4301761,0.33097056,0.24757285,0.18515325,0.14183795,0.112722255,0.0935629,0.080298014,0.06973881,0.060487386,0.053112347,0.04931329,0.05043276,0.05615593,0.06429329,0.0717311,0.07704734,0.082598686,0.09405318,0.11605104,0.14679165,0.17615311,0.19093163,0.1834935,0.1576771,0.12541611,0.098825626,0.083044864,0.076231025,0.073161,0.06936183,0.06293002,0.05430467,0.045476694,0.03845777,0.034458164,0.033275396,0.033769786,0.034817327,0.036087368,0.037648134,0.038772147,0.03770036,0.03330821,0.026565224,0.020107727,0.016064642,0.015031539,0.01657994,0.020009672,0.024311526,0.02788298,0.029351024,0.02832885,0.025861574,0.023630148,0.023258543,0.02524287,0.028505715,0.031013966,0.031500235,0.030866377,0.030981578,0.032596868,0.034052443,0.033135694,0.029359661,0.024655072,0.021557854,0.020951262,0.021667184,0.02172208,0.020184444,0.017642733,0.01569388,0.015600738,0.017731098,0.021128364,0.024327995,0.025756804,0.02504307,0.022934461,0.021375397,0.022171125,0.025910622,0.031232191,0.03526475,0.035794947,0.03236662,0.026759079,0.021129562,0.017586268,0.01759819,0.022140577,0.030513925,0.040050674,0.04698437,0.04871558,0.045120772,0.038329493,0.030918939,0.024680786,0.020149894,0.017283345,0.015803955,0.015369271,0.01553262,0.01590856,0.016397826,0.016997628,0.017784566,0.018879265,0.020977372,0.025045777,0.031818572,0.04027314,0.04768227,0.050709832,0.048380498,0.04293571,0.03828294,0.036449593,0.03622072,0.034800563,0.030632213,0.024578178,0.01868052,0.014513078,0.012216539,0.011091716,0.010269345,0.009538428,0.0093929665,0.010991215,0.015373714,0.022331579,0.030043753,0.035949457,0.03888051,0.039546486,0.03963406,0.039899517,0.039947096,0.03915869,0.039312202,0.046543617,0.07140191,0.121627934,0.19276543,0.26400277,0.31009552,0.32137248,0.3134193,0.31556287,0.34547675,0.398916,0.45873284,0.51625997,0.5744372,0.63683015,0.6922392,0.7166965,0.68957806,0.608877,0.49565002,0.37881717,0.281713,0.21056437,0.16190386,0.12760706,0.10345148,0.08816411,0.08367696,0.09110758,0.10841329,0.12974288,0.14806585,0.15842916,0.15942378,0.15211137,0.1384191,0.11954022,0.09674183,0.0723434,0.0502321,0.033942837,0.024492458,0.020117663,0.01787926,0.01583425,0.013600621,0.011979759,0.011888602,0.013846342,0.017798603,0.023448735,0.030406492,0.038156837,0.04585415,0.05239962,0.056936238,0.059383523,0.060662147,0.061998393,0.06405329,0.06610715,0.06681415,0.065206766,0.061981875,0.05867064,0.056732908,0.056175385,0.056180637,0.055672616,0.054397848,0.052611638,0.05073881,0.048545968,0.045479666,0.040964063,0.03527185,0.029016994,0.023109714,0.018013561,0.01423094,0.01200281,0.011534505,0.012494717,0.01422597,0.015913228,0.017479347,0.020131348,0.026565187,0.039627902,0.060418844,0.086351365,0.11172088,0.13020976,0.13869296,0.1384078,0.13373779,0.12866254,0.12493632,0.12230148,0.122116156,0.1292584,0.15109152,0.18840478,0.23162942,0.2607608,0.261184,0.22993894,0.18061697,0.12947486,0.08977038,0.06439867,0.051278666,0.04603058,0.046337944,0.05113874,0.059284914,0.06847953,0.076053955,0.080634855,0.082518585,0.0831138,0.083518475,0.08406568,0.08432885,0.08377724,0.08206591,0.079018466,0.07476301,0.06973844,0.064747736,0.06008558,0.055385157,0.04984394,0.04342058,0.03682118,0.030987868,0.026159877,0.022123868,0.018692441,0.016134981,0.014818004,0.014954157,0.016201586,0.017889557,0.019045169,0.019880073,0.022643797,0.032688316,0.055720877,0.09538361,0.15005894,0.21554832,0.28622139,0.3568038,0.41736397,0.4537035,0.4509181,0.40484014,0.3265189,0.23846273,0.16229095,0.10939658,0.0795775,0.066416495,0.06365299,0.06769062,0.07594475,0.08422941,0.08703958,0.08147645,0.07054239,0.061469793,0.059707146,0.06419695,0.06839516,0.06599896,0.055617925,0.041082043,0.027636498,0.018677497,0.014700268,0.014400217,0.015725538,0.016604858,0.015749987,0.013170943,0.010005469,0.0074330787,0.0059423246,0.0053173215,0.005199401,0.0053482954,0.005661731,0.0059890146,0.0062676216,0.006471204,0.006696351,0.006956057,0.007237192,0.0074257553,0.0074249413,0.007204931,0.0069823354,0.007121388,0.0082065305,0.010723956,0.015287506,0.021811528,0.02954469,0.036760267,0.042729218,0.048419625,0.056043398,0.06546328,0.07286876,0.073350586,0.0676515,0.06473281,0.077356935,0.11081054,0.15733238,0.19916423,0.22185814,0.222117,0.20903577,0.1948816,0.18967336,0.19795437,0.22264111,0.26576045,0.3289257,0.40826154,0.4933605,0.5680696,0.6182347,0.63513315,0.6159646,0.5601862,0.47125566,0.36058807,0.24801672,0.15393507,0.08987123,0.05549022,0.042996943,0.04253608,0.045354325,0.04521522,0.039940406,0.031235347,0.022652762,0.016900806,0.015145692,0.017430764,0.023110747,0.030259648,0.035938654,0.03737976,0.033941336,0.027229069,0.020021345,0.014250307,0.010554813,0.008536742,0.0077803456,0.007975768,0.008896728,0.010068878,0.010995559,0.011347368,0.011237703,0.010954742,0.010806722,0.010719464,0.010482069,0.009778083,0.008739938,0.0077173053,0.0072267484,0.0073420946,0.007825991,0.008217734,0.008283037,0.008038458,0.007672612,0.00734646,0.007089363,0.0069121756,0.006793481,0.006751571,0.006725335,0.006732287,0.0068595074,0.0073308498,0.008279406,0.009695952,0.011272118,0.012690256,0.01381329,0.015091289,0.01710434,0.019986931,0.022799782,0.024276273,0.023912938,0.022718705,0.022214184,0.02318537,0.0250784,0.028046109,0.035340708,0.054272223,0.09099454,0.14322095,0.19621928,0.23028676,0.23316127,0.20806222,0.16912746,0.13107528,0.10170867,0.08193945,0.069509104,0.062404677,0.06016733,0.06327411,0.071553834,0.082747035,0.09350554,0.101389416,0.10679194,0.11075098,0.112700015,0.10928062,0.09834406,0.08152243,0.06420028,0.051275883,0.044837773,0.04459096,0.050071765,0.061239135,0.07738862,0.095739834,0.11218071,0.12308236,0.1274799,0.12640055,0.121370144,0.11247635,0.09924441,0.08225496,0.064535946,0.050261732,0.042014632,0.03931435,0.03948186,0.040663477,0.04271236,0.04664962,0.05219544,0.057631653,0.060479987,0.05956984,0.05545029,0.050065756,0.04522371,0.041844264,0.039702818,0.038155194,0.0364984,0.034288023,0.031215042,0.027443996,0.024067983,0.023431947,0.02816916,0.04028843,0.061597556,0.09719803,0.15410954,0.23444615,0.3241757,0.3978572,0.43503937,0.43903196,0.4312712,0.43211702,0.4435061,0.45127758,0.4375508,0.39215603,0.31921056,0.23682459,0.17156495,0.1454423,0.16524197,0.21779366,0.27734193,0.31912148,0.33313334,0.32563934,0.30971012,0.29325697,0.2760656,0.25529215,0.23001237,0.20267232,0.17539342,0.14980836,0.12619175,0.105990194,0.092258304,0.09153017,0.11487538,0.17471945,0.27832988,0.4178629,0.5720074,0.7123163,0.8153553,0.8631363,0.8454411,0.76195234,0.6304068,0.48248282,0.3501587,0.24964397,0.17936368,0.1293585,0.09204859,0.06500168,0.047884684,0.039130103,0.035660237,0.0343232,0.03317967,0.031837057,0.031247543,0.032873597,0.03767,0.045043316,0.05332054,0.061201673,0.069091536,0.07934293,0.09429607,0.11501062,0.13939981,0.1636111,0.18262927,0.19266309,0.19119339,0.17808147,0.155545,0.12835631,0.1019111,0.080073774,0.06363969,0.051345065,0.041402772,0.03296547,0.025979703,0.020838894,0.017697208,0.016323395,0.016209163,0.016941668,0.018654453,0.022395091,0.030024992,0.042993933,0.06039074,0.078435965,0.092439115,0.099386156,0.09862236,0.09053425,0.076566115,0.059780914,0.044964503,0.03566314,0.032156352,0.03164057,0.030955559,0.028686812,0.025214389,0.02190434,0.019770117,0.01935555,0.02024275,0.021777956,0.023064787,0.0239055,0.024434952,0.025014749,0.02548123,0.025229963,0.023874206,0.021477463,0.018827928,0.016644644,0.015835473,0.016737904,0.019249959,0.02210634,0.023930898,0.023711948,0.021910243,0.01974625,0.018558813,0.018678928,0.019405058,0.019719368,0.019151537,0.018163957,0.017385775,0.017008184,0.016638184,0.01594966,0.015062519,0.014389125,0.014247009,0.014601089,0.015227267,0.015810259,0.016283177,0.016652705,0.017051695,0.0172654,0.01720926,0.017644145,0.022005675,0.03659026,0.06773424,0.11536771,0.1688137,0.20992167,0.22365625,0.20723288,0.17063932,0.12897997,0.09390215,0.07027089,0.05714923,0.05119149,0.04865325,0.047084566,0.045313448,0.04340263,0.041869607,0.041282445,0.041700263,0.042551894,0.042714458,0.041312307,0.038156334,0.03417396,0.030710697,0.029008955,0.029180765,0.030315535,0.030872447,0.02993081,0.027560262,0.024668552,0.02207721,0.020096391,0.01850901,0.016990436,0.015408973,0.013912208,0.012788627,0.012210607,0.012059408,0.011965983,0.011604632,0.010946766,0.010248897,0.009784474,0.009598341,0.009550015,0.009470786,0.009352322,0.009313036,0.0094751,0.009950627,0.010802492,0.012317515,0.014552812,0.017335065,0.019688604,0.020863742,0.02049416,0.019497957,0.018786669,0.019117301,0.020089636,0.021404989,0.02280428,0.024690852,0.026775235,0.02817182,0.027466128,0.024405055,0.020095274,0.016557006,0.014882055,0.014723524,0.014601906,0.013491437,0.011429532,0.009420925,0.008334882,0.008353653,0.009019535,0.009949706,0.012097434,0.02067512,0.04766276,0.11092052,0.22281702,0.37798104,0.5474701,0.6946351,0.7939469,0.8436659,0.85600644,0.843911,0.81064504,0.752755,0.6666801,0.5563156,0.4343883,0.31906065,0.22799347,0.17539173,0.1693794,0.20838058,0.27778348,0.35673186,0.43108144,0.50107735,0.5713293,0.6352877,0.67065316,0.6554711,0.5851256,0.4788487,0.36593047,0.2728642,0.21212701,0.18281625,0.17221242,0.16500975,0.15382995,0.14538376,0.153265,0.18269439,0.22232723,0.25242567,0.26014912,0.24797106,0.22858737,0.21452852,0.2108847,0.2135743,0.21395378,0.20557593,0.19007772,0.17425597,0.16274416,0.15299849,0.14067407,0.12727435,0.12307163,0.13822848,0.17315604,0.21397476,0.24104887,0.24092436,0.21435072,0.1733771,0.13200185,0.09900699,0.0761092,0.061706185,0.05344665,0.049936537,0.049921867,0.05221807,0.05518496,0.0569429,0.05578984,0.05107821,0.04367127,0.035354044,0.027823487,0.021986015,0.017969115,0.015542832,0.014282015,0.013751437,0.013421091,0.012980476,0.01258997,0.012892888,0.014420502,0.016793646,0.018822772,0.019848362,0.021078339,0.025678461,0.036013123,0.051584605,0.067981295,0.08036625,0.08562323,0.08446625,0.07925066,0.073999286,0.07339408,0.08387455,0.10987518,0.15149218,0.20162447,0.2498941,0.2846429,0.2963339,0.28020337,0.24230154,0.20137501,0.17916434,0.18583423,0.21293513,0.2433848,0.2669023,0.28466633,0.30225453,0.31728697,0.3200411,0.3005718,0.260237,0.210519,0.16600291,0.13400093,0.11335006,0.09790597,0.08285358,0.06674387,0.051085632,0.037820578,0.027892599,0.020974664,0.016192304,0.012752697,0.010209828,0.008405111,0.0073544974,0.0069442946,0.0069250693,0.0069715213,0.007005799,0.007106621,0.007360518,0.0076348535,0.0077781994,0.007766795,0.0077500665,0.0077702343,0.0077159223,0.0074076005,0.006848877,0.006218655,0.0057593435,0.0055736005,0.005566602,0.005503241,0.0052204137,0.004752792,0.0043521766,0.0042630024,0.0045488854,0.005018361,0.005425271,0.0057132207,0.006055374,0.0066630878,0.0074773678,0.008256515,0.008725234,0.008866559,0.00873996,0.008478825,0.008101744,0.0076622334,0.0071566175,0.0066253985,0.006110435,0.0056923344,0.0054324516,0.0053593796,0.0054676603,0.0057271575,0.0060519124,0.006335288,0.0064644865,0.0064189057,0.006282881,0.006305939,0.0068286024,0.008114751,0.010039716,0.012003795,0.013207874,0.0133699505,0.013079333,0.013531797,0.015441746,0.018434959,0.021292994,0.023068959,0.023533413,0.022844596,0.020920461,0.017727155,0.013770972,0.010200515,0.008026073,0.0077206655,0.00922075,0.012336485,0.016402643,0.020181471,0.022038117,0.02125989,0.019401632,0.021456996,0.035943888,0.07102565,0.12818848,0.19597618,0.2540059,0.28335682,0.2783161,0.2459632,0.19955166,0.15042555,0.10729908,0.07639887,0.06071038,0.057626825,0.05997485,0.061508235,0.060996115,0.062763035,0.06989895,0.0805207,0.087031364,0.08398277,0.072019376,0.05878,0.052294936,0.056594223,0.068872236,0.08161527,0.08659527,0.08029974,0.066960976,0.05663718,0.06003608,0.08131039,0.11631384,0.15372096,0.18370038,0.2012624,0.2084745,0.20834406,0.20395787,0.19679241,0.18879126,0.18043667,0.17009692,0.15441331,0.1310909,0.101815134,0.07160321,0.046280295,0.028678024,0.018391069,0.012994845,0.010334163,0.009037404,0.008434762,0.008158435,0.007989851,0.007903919,0.0078434525,0.0078066587,0.0076619904,0.0074670278,0.007324321,0.0074123368,0.0076749525,0.007889862,0.007815479,0.0073773214,0.0067151305,0.0060384534,0.0055750986,0.005457202,0.005756822,0.006380035,0.0071861767,0.007968993,0.009288895,0.014067724,0.030226821,0.069375165,0.14028339,0.23777921,0.3414054,0.42499813,0.47528744,0.49640957,0.502614,0.5020102,0.49256644,0.46725914,0.42521647,0.37628344,0.3365061,0.31567952,0.3092784,0.30006146,0.27352962,0.22747184,0.17538339,0.13429599,0.11611699,0.119892485,0.13493736,0.14652742,0.1446793,0.1287937,0.10802132,0.094637364,0.09680576,0.11285958,0.1345548,0.15284766,0.16418533,0.1699756,0.174087,0.17926055,0.18672228,0.19568425,0.20407218,0.20828937,0.20523585,0.19409007,0.1786332,0.16613191,0.1641302,0.17523925,0.194569,0.21112345,0.21367736,0.19703843,0.16471507,0.12618585,0.09104178,0.06467011,0.047333065,0.03645269,0.029065654,0.02358303,0.019767068,0.018091112,0.018803738,0.02170743,0.026232153,0.031412225,0.035900313,0.038600188,0.039740037,0.040953323,0.043418717,0.04612242,0.046251774,0.04210039,0.03492893,0.028165365,0.024945712,0.027225725,0.03632388,0.053314883,0.076700605,0.101620145,0.120863855,0.12982751,0.12778336,0.117355995,0.10184591,0.08466066,0.06929233,0.057908747,0.05123144,0.048112307,0.04743616,0.04785876,0.04830729,0.04760691,0.044852156,0.039711166,0.03256682,0.024798336,0.017969312,0.013250566,0.010788274,0.010253492,0.011211466,0.013213259,0.015455678,0.016797794,0.016482351,0.014618658,0.012195319,0.010204139,0.009178713,0.009077993,0.009713278,0.010997887,0.012858477,0.015150179,0.017521018,0.019852085,0.022365214,0.025711663,0.030232666,0.035489783,0.039950073,0.04188706,0.04038582,0.0362113,0.031070681,0.026510509,0.02302784,0.020574698,0.019139072,0.018759767,0.018937605,0.01860264,0.017006544,0.014398001,0.01184521,0.010072564,0.009049124,0.008169224,0.007180191,0.0062448964,0.005797534,0.0059764353,0.0066213706,0.007372804,0.007960447,0.008365359,0.008747787,0.009311959,0.010075538,0.010933598,0.011759828,0.012579315,0.013682428,0.015513726,0.018325033,0.021571547,0.02412452,0.025260597,0.025794923,0.027371734,0.03079678,0.034790713,0.037495658,0.038088035,0.037392806,0.035957932,0.03333501,0.028681515,0.022467772,0.01634292,0.0118341595,0.009220972,0.007885629,0.007157521,0.006787836,0.0066438555,0.0065819635,0.006394153,0.006107096,0.0058841314,0.0059367046,0.006292336,0.006803445,0.0072835255,0.0076067424,0.0078082234,0.007921326,0.00797381,0.007908429,0.007743237,0.007593844,0.007595446,0.007788884,0.008035977,0.0085649,0.012399558,0.026480688,0.061307102,0.12025621,0.19500433,0.26191768,0.29985186,0.29726732,0.26168367,0.20731659,0.15108061,0.10338771,0.06959733,0.04922681,0.039081976,0.03539442,0.035673376,0.039427374,0.04638927,0.054873873,0.061638433,0.06557614,0.06993235,0.07951161,0.09374091,0.10506054,0.10540944,0.095740944,0.085464895,0.08335847,0.08780456,0.089201845,0.07955327,0.060190663,0.039668437,0.026327841,0.022905305,0.02719658,0.03665811,0.053732608,0.08637729,0.14398746,0.22911148,0.33297142,0.4366343,0.5184658,0.5629959,0.56721264,0.5401109,0.49597177,0.44553176,0.39354345,0.34081018,0.28833497,0.23730016,0.18931532,0.14667423,0.112517305,0.08847753,0.072847,0.061748322,0.05250817,0.046438113,0.048425753,0.06503,0.09838597,0.14288847,0.18376778,0.2066616,0.20476717,0.18404627,0.15645629,0.13427748,0.12438332,0.127953,0.14072019,0.15521902,0.16439086,0.16436277,0.15595198,0.14258806,0.12820004,0.1141358,0.09957397,0.08289457,0.065380044,0.05137774,0.046595693,0.05358614,0.07001722,0.08948302,0.105213225,0.11289188,0.11139218,0.10191602,0.08677962,0.06905386,0.051778737,0.037502807,0.027713088,0.022980487,0.022825336,0.02543118,0.028085856,0.028417991,0.026008764,0.022135794,0.018497966,0.015710192,0.013584501,0.011828884,0.010552087,0.009776679,0.009286713,0.008737847,0.008081679,0.007466179,0.007110851,0.0070925695,0.0073482823,0.0076472103,0.0077087246,0.0074502393,0.007118898,0.007105394,0.0075688497,0.008275266,0.00889327,0.009242918,0.009366222,0.009227561,0.00876847,0.008010277,0.007272688,0.0069042407,0.007033923,0.0074449913,0.007805469,0.008002661,0.008180036,0.008689123,0.00970649,0.011134621,0.012430868,0.012976733,0.0124260625,0.011072341,0.00959637,0.008612956,0.008258885,0.008304517,0.00840826,0.008382878,0.008122053,0.007620696,0.0069214036,0.006225722,0.0057220706,0.0055436213,0.005631793,0.0059349784,0.0063528963,0.006850188,0.007261706,0.0074800183,0.00741429,0.0071567926,0.0067979954,0.006432786,0.0061145085,0.0059647313,0.006096378,0.006522721,0.0070915115,0.0076158256,0.008010191,0.008512578,0.012004199,0.026949583,0.06949611,0.15342377,0.27591643,0.40517256,0.4952604,0.5117937,0.45591772,0.3572931,0.25330624,0.1683238,0.110814326,0.078350805,0.06432291,0.060535878,0.061057713,0.06521284,0.0813016,0.122535706,0.19838297,0.30200827,0.41016445,0.4923791,0.53061014,0.52603114,0.4988766,0.47017944,0.4509679,0.43411627,0.40767708,0.36528382,0.3153197,0.27165708,0.2467237,0.2434802,0.25789538,0.2792011,0.29381147,0.28899077,0.25902885,0.20910907,0.15249005,0.1038528,0.071487695,0.055535514,0.05015255,0.048449457,0.045830455,0.041018207,0.03495069,0.028895944,0.023506934,0.018862173,0.01501757,0.012128134,0.010172443,0.008900552,0.007920009,0.007043559,0.0062458212,0.005673174,0.0054800455,0.005753064,0.006468816,0.0073811314,0.00821902,0.0086732535,0.008721769,0.008436757,0.008048453,0.007625444,0.0072316793,0.00686322,0.0066215005,0.0065736915,0.006737632,0.0069812164,0.0071291756,0.007086901,0.006944707,0.0068721995,0.0069858613,0.0072885905,0.0077608437,0.00848737,0.009566841,0.011111897,0.0128359385,0.01428873,0.014772348,0.014110684,0.012484162,0.010550298,0.008842834,0.0076858313,0.007078391,0.006810631,0.006751992,0.0068987757,0.0073880325,0.008101501,0.008657088,0.008596671,0.007846692,0.0067860787,0.0059817187,0.005789155,0.0062387954,0.007110612,0.008074256,0.008725853,0.008760252,0.0082195485,0.007633563,0.00775425,0.008923204,0.010737572,0.012243107,0.012709363,0.012054787,0.010769936,0.009412164,0.008683986,0.011242698,0.023764243,0.056602288,0.11634654,0.19718038,0.27802828,0.33369923,0.34946382,0.32872954,0.28658384,0.23881172,0.1945269,0.15639146,0.12353373,0.0948421,0.06970934,0.048678234,0.03223107,0.020739617,0.013551456,0.009658467,0.007750638,0.0069013354,0.006455207,0.0062112096,0.006466899,0.009619661,0.021936348,0.05459841,0.117738724,0.211147,0.31666216,0.40421283,0.44784072,0.44037113,0.3958982,0.33770669,0.2858608,0.24783392,0.22104938,0.19677465,0.16882241,0.1372687,0.110775895,0.10027516,0.110903025,0.13593175,0.16062379,0.17223889,0.16725367,0.15044028,0.12880296,0.10750244,0.09058511,0.08174002,0.085395634,0.10373169,0.1357124,0.17371212,0.20679094,0.22436196,0.2231413,0.20568007,0.1779898,0.14429286,0.10877464,0.0752538,0.048160154,0.029329106,0.01827112,0.012479857,0.009766947,0.008633624,0.0085042305,0.008944682,0.009574112,0.009869586,0.009711481,0.009289046,0.009035946,0.009001706,0.008984449,0.008691682,0.008202308,0.007769657,0.0076734517,0.007882231,0.008183822,0.008216451,0.007786997,0.006926691,0.0059874556,0.0053609326,0.005240923,0.005486708,0.0058075585,0.0060441955,0.0062358323,0.006494084,0.0068007098,0.0070404797,0.007108023,0.0070494935,0.006973714,0.0070152455,0.007198596,0.007562308,0.008089921,0.008769188,0.009420925,0.009801559,0.009707864,0.009136596,0.008268167,0.007324366,0.006544405,0.006104984,0.0060920496,0.006406165,0.0068370956,0.0072694425,0.007744018,0.008403544,0.009208771,0.009880431,0.010024946,0.009467964,0.008490769,0.0076439935,0.0074863783,0.008334222,0.010455097,0.013975193,0.01859062,0.023303052,0.026878165,0.028766664,0.029346576,0.029473463,0.029595917,0.02971547,0.029540153,0.028817177,0.027340733,0.02512216,0.022502525,0.020026593,0.018089091,0.016777929,0.01589833,0.015375108,0.015162099,0.015554026,0.01666693,0.018545827,0.020477109,0.021812469,0.02238785,0.023238828,0.025256572,0.028119177,0.030128365,0.029919758,0.027613454,0.024409046,0.021307312,0.018593704,0.016393442,0.015102967,0.015400253,0.017837094,0.024417123,0.039558735,0.07124251,0.12506549,0.19982143,0.28354502,0.36112478,0.42242488,0.46803403,0.50496525,0.536402,0.55529624,0.5467407,0.49999467,0.4189354,0.32074735,0.22699837,0.15174389,0.10012115,0.069410704,0.05437194,0.048720483,0.04749423,0.04742746,0.047134195,0.04612935,0.044201534,0.04127242,0.037728418,0.034289192,0.032154202,0.03300053,0.03899606,0.051695675,0.07046453,0.092851125,0.11542133,0.13584416,0.15171266,0.16137253,0.16390882,0.16158657,0.15816697,0.15675302,0.15604694,0.15203604,0.14067246,0.12284342,0.10242,0.084094755,0.068540886,0.054746553,0.04140834,0.029670117,0.020844543,0.01549235,0.01260477,0.011075473,0.010248575,0.0099799065,0.010145776,0.010442577,0.010591556,0.010368876,0.009755496,0.008934141,0.008393788,0.008856685,0.01094973,0.015032742,0.020911464,0.02790459,0.035526756,0.044684794,0.058696166,0.0809131,0.11184438,0.14708002,0.18152241,0.21360238,0.24676214,0.2850103,0.32831565,0.37209275,0.40939203,0.43439296,0.44260797,0.4313399,0.39932093,0.34889352,0.28670734,0.22262675,0.16535239,0.119243324,0.08409351,0.05788899,0.039312027,0.02858975,0.027053738,0.035471838,0.052433044,0.073447,0.09363783,0.11190633,0.13348792,0.16586481,0.21094452,0.25991854,0.2974588,0.31206128,0.3038741,0.28350404,0.2643479,0.25569305,0.26090908,0.27884856,0.3059561,0.33696792,0.36658275,0.38963547,0.40132725,0.39583167,0.36841348,0.3186643,0.25374922,0.18640633,0.13025987,0.0940465,0.07907293,0.08020293,0.09136885,0.11101016,0.14301318,0.191347,0.25461864,0.32446197,0.38954124,0.4400406,0.4740744,0.49839512,0.5242644,0.55516654,0.5822322,0.588218,0.5601106,0.495653,0.40461922,0.30494264,0.21838821,0.16295509,0.14574702,0.1594407,0.18677841,0.20928417,0.21485567,0.20108877,0.17254429,0.13754024,0.10279876,0.07290249,0.049035717,0.0316555,0.020111835,0.013708181,0.010826249,0.009843713,0.009321362,0.008639581,0.007765463,0.007020528,0.00661934,0.006525416,0.006495112,0.006350575,0.006134467,0.006072178,0.0063315355,0.006846847,0.007370804,0.007626803,0.007528786,0.00714064,0.0067080897,0.0064635784,0.0065845395,0.007046565,0.007660205,0.008206755,0.008557518,0.008811678,0.009111854,0.009590612,0.01009094,0.010370609,0.010131051,0.009560908,0.009169794,0.009703066,0.011178504,0.0129264295,0.01377024,0.013312497,0.012016761,0.010971022,0.010628495,0.010697145,0.010441375,0.009663041,0.008785516,0.008553296,0.009251931,0.010638941,0.012008961,0.012934404,0.013302512,0.013569984,0.014095914,0.015098169,0.01616619,0.016724518,0.016351482,0.015423442,0.014828052,0.015117269,0.015971566,0.016453786,0.016137108,0.015137926,0.013892026,0.012388863,0.010623724,0.008726258,0.0071518943,0.006239934,0.006121175,0.0066525345,0.0075128064,0.008296798,0.008778798,0.008957904,0.009068555,0.009331848,0.010049684,0.01134228,0.012934561,0.014049063,0.0138964495,0.01248826,0.010531058,0.00899136,0.008185421,0.008003604,0.008079391,0.008216932,0.00825592,0.0080683725,0.0076154373,0.0070007765,0.0064602415,0.006157365,0.0061140587,0.006224509,0.0063931886,0.0065975785,0.006832991,0.0070814546,0.0073005105,0.0075484277,0.007867577,0.008308642,0.008698724,0.008941566,0.008862505,0.008513418,0.007854834,0.007075766,0.0063787685,0.0060762656,0.0062447377,0.006718842,0.0072322707,0.0075859013,0.007822526,0.008030263,0.0084248865,0.009157427,0.010406751,0.012189736,0.014877066,0.019694403,0.029364055,0.046518985,0.0713368,0.09879597,0.1204074,0.12870413,0.12264827,0.10803047,0.093147315,0.0837544,0.08105751,0.08354193,0.088769995,0.09449539,0.09924839,0.10244686,0.104328245,0.10447713,0.10224082,0.09682626,0.08875335,0.07990971,0.07428434,0.07647291,0.08865449,0.10720851,0.123906516,0.1321128,0.1325605,0.13257968,0.13794194,0.14659522,0.14974557,0.1402589,0.118365794,0.09082436,0.065146476,0.04545079,0.032138217,0.023739671,0.018528132,0.015174185,0.012867267,0.011288766,0.010345006,0.00998947,0.010069702,0.010480943,0.011161036,0.012071636,0.013022198,0.013651776,0.013673202,0.013032111,0.012015819,0.010913014,0.009893119,0.008981519,0.008249656,0.007840024,0.007784678,0.007961386,0.008197417,0.008499212,0.009000261,0.0097669875,0.010597543,0.011163503,0.011189441,0.01065565,0.009697209,0.008521154,0.007305937,0.006205917,0.0053979834,0.005012115,0.0051231976,0.0056177047,0.0063315444,0.0070898347,0.007886751,0.008711256,0.009475041,0.009902866,0.009788407,0.009129729,0.008194326,0.0073064137,0.0067259273,0.006548121,0.0067235385,0.0070344727,0.007239036,0.007167985,0.006883006,0.0065408996,0.006323222,0.006315838,0.006558925,0.007049803,0.0076368325,0.008059654,0.008013934,0.0075068134,0.006809518,0.0063551776,0.006318692,0.0066408156,0.0071167015,0.007677167,0.008359884,0.0091927545,0.010067998,0.010711033,0.010859233,0.01035165,0.009328998,0.008149651,0.007294866,0.007055687,0.0073769367,0.007914883,0.008291452,0.00840985,0.008380414,0.008414441,0.008515446,0.008666143,0.008816811,0.009060405,0.009367395,0.009613846,0.009610481,0.00938635,0.009196349,0.009324036,0.009713966,0.010003789,0.00976444,0.0090032285,0.008055559,0.007420277,0.007233873,0.007374789,0.0075121187,0.0074984655,0.0073380247,0.007216682,0.00729146,0.007605966,0.008034247,0.008354795,0.008434304,0.008304804,0.008143657,0.00812376,0.008237471,0.008314666,0.008084752,0.0074948706,0.0067001428,0.006013742,0.0056088143,0.005547998,0.005869463,0.006682981,0.007996911,0.00952123,0.010734066,0.011225142,0.011052783,0.0105712665,0.010169196,0.009948034,0.010087483,0.0107483165,0.012158871,0.014451194,0.019827677,0.034122754,0.06692865,0.1237664,0.19979203,0.27678704,0.33492884,0.3619999,0.3599151,0.3371464,0.3040357,0.26832914,0.23604475,0.21022397,0.19073462,0.17586929,0.1645947,0.15783373,0.15675367,0.1612104,0.16876738,0.17612003,0.18083249,0.18303561,0.18419969,0.18495198,0.18294126,0.17408156,0.15585744,0.13044235,0.10547379,0.08970389,0.08804106,0.09718713,0.10930718,0.11703677,0.11856895,0.11550001,0.10975802,0.101599015,0.09133404,0.08099974,0.07320317,0.06924829,0.06799036,0.06766456,0.06679794,0.06454111,0.059788782,0.05194116,0.041583486,0.03075476,0.021595418,0.015313003,0.01177077,0.010142853,0.009513927,0.009293807,0.00921614,0.009149782,0.009036909,0.008807554,0.008591678,0.008488043,0.008615045,0.008855102,0.0091706915,0.009505307,0.009944958,0.01049948,0.011206329,0.012024239,0.012887956,0.013668682,0.014191319,0.014292692,0.0138736,0.013202433,0.01283044,0.013494175,0.015416582,0.018338013,0.021562958,0.024604326,0.027079495,0.028663121,0.029042646,0.02834698,0.0272902,0.026729418,0.027190842,0.0286426,0.03097733,0.033676907,0.036196895,0.037583675,0.037842464,0.037234187,0.036424816,0.035126884,0.0332059,0.03091341,0.029142817,0.028227627,0.028525934,0.0333375,0.05074765,0.0897694,0.14910577,0.21143667,0.249812,0.24771225,0.2107641,0.16424511,0.13672489,0.14684711,0.1971666,0.2744026,0.3562547,0.4205298,0.45481825,0.45702922,0.43177357,0.38551828,0.325763,0.26112738,0.20000452,0.14892988,0.11070555,0.08467192,0.06728739,0.0544673,0.04330722,0.03307858,0.024407348,0.018063528,0.014127872,0.012102909,0.011179749,0.010697097,0.010106166,0.0092880875,0.00836538,0.007784016,0.00785594,0.008681816,0.010000014,0.011422849,0.012541174,0.013036347,0.012733436,0.01167886,0.010209321,0.008760509,0.0077499445,0.007379292,0.007765855,0.009456,0.015820714,0.03590067,0.084749125,0.17489557,0.30464205,0.450485,0.5777107,0.6574622,0.68201846,0.6604767,0.6087904,0.5389114,0.46061614,0.3832173,0.3161228,0.26250178,0.2183559,0.17672582,0.13640553,0.10407097,0.08849727,0.0921168,0.10747238,0.12269137,0.12877637,0.12403474,0.1121402,0.09800124,0.08537667,0.075897194,0.07096453,0.07182005,0.08108997,0.09937972,0.124792516,0.15000094,0.16739039,0.17069407,0.15999173,0.13843024,0.11233773,0.08791695,0.07242481,0.070337854,0.081516646,0.09941131,0.11712823,0.13291086,0.15098055,0.17431684,0.19853592,0.21545564,0.22043957,0.21596609,0.20451619,0.18473278,0.15369688,0.11458931,0.07613535,0.046739474,0.02862704,0.019123731,0.014337674,0.011889987,0.01071611,0.010380045,0.010459631,0.010599557,0.010585774,0.010509786,0.010453485,0.010326461,0.009898878,0.009182272,0.008501977,0.008178116,0.008210819,0.0082915565,0.008179141,0.00792137,0.007779844,0.0079448195,0.008343064,0.008743399,0.0089227995,0.008923915,0.009055926,0.0098664835,0.011688623,0.014212526,0.016380332,0.017064443,0.016035985,0.0141987465,0.012886606,0.012829936,0.013717168,0.014689873,0.014941583,0.014370357,0.0133015625,0.012294214,0.011488727,0.010831145,0.010130527,0.0095186485,0.009163107,0.009158644,0.009245396,0.009132798,0.008736066,0.008332592,0.008264374,0.008611903,0.009151922,0.009579904,0.009825968,0.009954273,0.010051909,0.009984658,0.009678908,0.009144973,0.008611133,0.008202802,0.007955263,0.007867196,0.00798043,0.008365233,0.008912825,0.009512958,0.010037519,0.010447443,0.010640332,0.010469075,0.009892934,0.008994929,0.008052024,0.0073029795,0.0069089844,0.0067967144,0.0068093217,0.006827731,0.006912006,0.007140674,0.0075135394,0.007886095,0.008173778,0.008378103,0.008579104,0.008817152,0.009029046,0.009088025,0.008835868,0.008297796,0.007707659,0.0074035693,0.0075407303,0.007915687,0.008180398,0.008021058,0.0074550114,0.006652683,0.0059238686,0.0054370146,0.0052743424,0.005387855,0.005740681,0.0063000354,0.0069636754,0.0075387037,0.0077625103,0.0075519457,0.0070104334,0.0064081145,0.00593551,0.0056951684,0.005730147,0.0060681724,0.0066652126,0.0073471204,0.007911027,0.008230736,0.008295555,0.008156694,0.007845883,0.0074403607,0.0070423163,0.006836426,0.006910128,0.007212358,0.007507805,0.0075811916,0.0073911417,0.007073144,0.0068343603,0.00678465,0.006950228,0.0072403685,0.007543057,0.007799361,0.008025893,0.008303641,0.008524265,0.008595492,0.008389704,0.0081660785,0.008128895,0.008500987,0.009034834,0.00951602,0.009725935,0.009949641,0.010518764,0.011671015,0.012963507,0.0136216255,0.012987569,0.011192675,0.009048008,0.0074822824,0.0069174613,0.00711241,0.007517775,0.0077399337,0.007822715,0.008117292,0.00899347,0.010496511,0.01239302,0.014257823,0.015845254,0.016954688,0.017543532,0.018017588,0.020973928,0.03261059,0.061082553,0.110207476,0.17225413,0.2288692,0.2604544,0.2590505,0.23070373,0.18974482,0.14826705,0.11275234,0.08442485,0.062932454,0.047699157,0.03873348,0.03592706,0.038264904,0.043927904,0.052695304,0.069344126,0.102136664,0.15586686,0.22435962,0.2948086,0.3567413,0.40898928,0.45012844,0.4747789,0.47317055,0.44454348,0.3942765,0.33289984,0.26905987,0.21535008,0.1826659,0.1744961,0.17933439,0.18014032,0.16525207,0.136951,0.10563902,0.08337823,0.07612712,0.08357672,0.09976529,0.11874622,0.13652724,0.15115698,0.15944928,0.15907599,0.15287669,0.15072559,0.16324626,0.1939109,0.23689377,0.2806766,0.31289753,0.32303107,0.30712512,0.27112135,0.22937052,0.19514985,0.17206712,0.15406448,0.1330023,0.10673762,0.079428785,0.05777407,0.04602203,0.045473877,0.05451149,0.06942106,0.08424095,0.09278941,0.09112632,0.079606995,0.06293189,0.0485255,0.044278726,0.054702815,0.078717194,0.10980622,0.14157318,0.1718124,0.20217395,0.23184597,0.25402465,0.2599087,0.24621923,0.21947233,0.18979155,0.16414559,0.141423,0.117870204,0.0914408,0.06511018,0.043058652,0.028019622,0.019597875,0.016032718,0.015260945,0.015844293,0.016743595,0.01768088,0.018607287,0.019669624,0.020704193,0.021704579,0.022572627,0.023143804,0.022947202,0.021770464,0.019867769,0.017912993,0.016368153,0.015351962,0.014613487,0.013948723,0.013176635,0.012373715,0.011668089,0.011292285,0.011286463,0.011568125,0.01191112,0.012172322,0.012274998,0.012227389,0.012035829,0.011754275,0.011528808,0.011494095,0.011742721,0.012205572,0.0128755225,0.0137083,0.014669384,0.015543808,0.016220486,0.016807199,0.017794648,0.019520734,0.021838749,0.023844669,0.024609491,0.023725381,0.021707805,0.019394264,0.017531188,0.016333705,0.015790923,0.015615555,0.015667323,0.015710467,0.015843587,0.016203662,0.017271144,0.019244367,0.021926655,0.02443443,0.02577007,0.025373956,0.023448953,0.020797523,0.01831613,0.016704159,0.016213695,0.016749648,0.017821265,0.018839626,0.019275554,0.019016372,0.01823983,0.017198892,0.01602989,0.0148516195,0.014060269,0.014236341,0.015720727,0.018214332,0.020679377,0.022160461,0.022079863,0.02076602,0.01869639,0.016518652,0.014520791,0.012994527,0.0120442575,0.011727694,0.011818656,0.011934455,0.01179164,0.011773627,0.01291934,0.016193388,0.021235077,0.026193464,0.028862806,0.028501026,0.026076874,0.023310507,0.02110868,0.019618213,0.0185486,0.017907953,0.017478188,0.01699847,0.015981782,0.014483933,0.012817766,0.011604361,0.011333279,0.014438995,0.027869524,0.06438377,0.13437408,0.23364554,0.3352236,0.40137735,0.40683365,0.35771406,0.28657156,0.2289129,0.2006685,0.1927646,0.1862668,0.16883594,0.14232019,0.115094095,0.09407785,0.081134684,0.07563306,0.076163195,0.08040884,0.085397385,0.08840167,0.08856396,0.086523,0.08382621,0.081288606,0.07877622,0.07509774,0.06937424,0.061376765,0.051959876,0.04355527,0.042533983,0.060631562,0.10936812,0.18794106,0.27316198,0.3288101,0.33012256,0.28602818,0.23352283,0.20967482,0.22508027,0.26067165,0.2882087,0.29020086,0.26916105,0.23822509,0.21163052,0.1958202,0.19064353,0.1908881,0.19075339,0.18485714,0.17000695,0.14522274,0.11325402,0.07996251,0.05241865,0.035150815,0.028386632,0.029127626,0.035652798,0.051781375,0.088018,0.1532185,0.24359395,0.3371797,0.4052453,0.4294158,0.41066396,0.36372375,0.305547,0.24993978,0.20547664,0.17593531,0.16014357,0.15405442,0.15371591,0.15375508,0.14866221,0.1327851,0.10707898,0.07740753,0.05280164,0.03851947,0.03587229,0.042322453,0.053409714,0.06444449,0.07281,0.079656355,0.086887844,0.093850754,0.096313596,0.09101385,0.07905216,0.06523031,0.053657968,0.04527791,0.03899714,0.03422231,0.031304903,0.030349188,0.03024262,0.030020416,0.030042797,0.031788204,0.035489995,0.039201446,0.04012194,0.037521336,0.03361323,0.031961355,0.034373138,0.03964251,0.044694364,0.04750495,0.04893418,0.0514763,0.056488644,0.0618187,0.06381131,0.060154732,0.052532252,0.044317324,0.03820895,0.034232926,0.031697813,0.030272083,0.03066904,0.0331618,0.03719151,0.041288376,0.044139367,0.045590967,0.046976198,0.050165955,0.05580935,0.06277122,0.069374375,0.074670516,0.07847222,0.07948415,0.07596638,0.067320734,0.056758765,0.048778277,0.046105757,0.04672879,0.046857316,0.043936636,0.039067883,0.03468534,0.0325886,0.032443505,0.033104006,0.03358431,0.03397734,0.035186913,0.038511936,0.044489354,0.05238351,0.060460705,0.067158766,0.07128814,0.071572304,0.066983655,0.05797733,0.047480192,0.039075244,0.035110325,0.03505237,0.03698467,0.038884465,0.040645495,0.043305155,0.047768634,0.05308312,0.057456296,0.06046294,0.065251775,0.079465,0.1136258,0.17397837,0.25263247,0.32394934,0.35824648,0.3420454,0.2886641,0.22548632,0.17487001,0.14303161,0.12535635,0.11457795,0.106080465,0.09775134,0.089162044,0.08128122,0.07508822,0.07126076,0.06830484,0.065197445,0.06337375,0.07148042,0.10226089,0.16491444,0.2529371,0.3417091,0.39974642,0.40628204,0.36428067,0.294816,0.22680867,0.17947257,0.15900333,0.15628798,0.15946917,0.15964852,0.1565452,0.15205325,0.14724173,0.1403087,0.13067088,0.12044721,0.114483334,0.11634473,0.12551852,0.1365252,0.14290917,0.14185844,0.13671817,0.1335906,0.13655321,0.14392905,0.15086277,0.15208922,0.14538853,0.1301672,0.10808156,0.08213561,0.057165433,0.03738601,0.025337582,0.0217572,0.026832296,0.03919,0.054756165,0.06666254,0.06952852,0.06252101,0.050124705,0.0378961,0.029413901,0.025177717,0.024763597,0.027791714,0.03371424,0.04038384,0.044952337,0.045440223,0.042468105,0.037735816,0.032658484,0.02735275,0.022165455,0.017943857,0.01568127,0.015175377,0.015427142,0.015539794,0.015640887,0.0161146,0.017002128,0.017536247,0.017272605,0.016189521,0.014843076,0.013484702,0.012527083,0.0126594165,0.014894442,0.019565484,0.025922522,0.032362204,0.03736085,0.039868414,0.03958067,0.03697239,0.033397768,0.03053543,0.029448861,0.030213559,0.03252152,0.036234405,0.04098117,0.045014706,0.045972183,0.042603206,0.036678065,0.031671014,0.03037566,0.032617908,0.03576298,0.036769766,0.03444123,0.030093474,0.026365789,0.0251777,0.026375173,0.028034715,0.028072633,0.025632272,0.021309251,0.016588217,0.013101105,0.012314499,0.014682057,0.01920416,0.023411604,0.024968484,0.0231518,0.01962526,0.017506788,0.020246139,0.030157669,0.047776133,0.070866175,0.095223196,0.115764044,0.1288993,0.13328718,0.12979026,0.12034628,0.10714874,0.09237188,0.07778609,0.064530075,0.052922186,0.043285027,0.036709365,0.035117332,0.03922392,0.04706657,0.05377208,0.05505632,0.04952387,0.039796438,0.029548168,0.021567507,0.016347544,0.013236639,0.011220299,0.00972894,0.008519897,0.007593451,0.006948741,0.006569477,0.006366996,0.006241133,0.006090278,0.005912412,0.0057834126,0.0058896127,0.0063833967,0.0073610493,0.008627052,0.00979362,0.010354091,0.010139483,0.009306956,0.008281173,0.0073300605,0.0066082287,0.0061184503,0.0058870786,0.0058055897,0.005749913,0.00559902,0.00542252,0.0053789713,0.0056438297,0.0062287655,0.0069706286,0.007533523,0.0076378337,0.00723814,0.006698208,0.0065313634,0.007064002,0.008076962,0.00903065,0.009408222,0.009146138,0.00844149,0.007628163,0.0068582,0.0062937574,0.0060159327,0.00609066,0.0064530526,0.0069626956,0.0075223558,0.007948956,0.00810801,0.007828021,0.0073090303,0.006850147,0.006806787,0.007094642,0.007478911,0.0076669753,0.0076819994,0.0076667215,0.0078035705,0.008090027,0.008418496,0.008602743,0.008568682,0.0083083995,0.007988723,0.00771304,0.007600185,0.007565845,0.007600537,0.007672464,0.007942856,0.008449062,0.009166524,0.009779993,0.010036276,0.009744196,0.009061534,0.008232785,0.007593406,0.0073206895,0.0074375407,0.0077479333,0.007973261,0.00796421,0.0077542434,0.0075431797,0.0075065526,0.007804411,0.008438752,0.009299581,0.010148555,0.010812015,0.011163641,0.01112264,0.010669958,0.009924085,0.009106681,0.008302049,0.007465008,0.006533116,0.005684141,0.0051744394,0.0051899683,0.0056512803,0.0063360236,0.0069872793,0.0074417484,0.0076746307,0.0077623962,0.007872329,0.008096696,0.008414876,0.008593573,0.008429278,0.007878885,0.0071944813,0.0067081735,0.006661831,0.007104534,0.007962007,0.009104605,0.010366376,0.011505143,0.012274705,0.012498696,0.012250271,0.012500678,0.016348397,0.03013363,0.061351795,0.11435121,0.18601234,0.26746318,0.34786713,0.4170964,0.46328595,0.47332987,0.43974337,0.37081084,0.29194117,0.23370413,0.213938,0.22938554,0.2613265,0.2905133,0.30652687,0.30912086,0.30360952,0.29629728,0.29217425,0.29039958,0.28457418,0.26457542,0.22631371,0.17527102,0.12589248,0.09180621,0.079567455,0.085873485,0.101976894,0.11844029,0.12933569,0.13303582,0.13095973,0.12524794,0.11738345,0.1080736,0.098164074,0.08851666,0.07970729,0.07105131,0.061435074,0.05037929,0.039396465,0.031163985,0.027705135,0.02852347,0.030850962,0.0316575,0.029764503,0.026307432,0.023205625,0.021442765,0.020562822,0.020205421,0.021801354,0.029210092,0.045763623,0.07102182,0.09853407,0.11943244,0.12689921,0.12001269,0.10278264,0.08173003,0.06362423,0.053967264,0.056238413,0.07044696,0.093303956,0.11934123,0.1435541,0.16278732,0.17592418,0.18295382,0.18457152,0.18079932,0.17063098,0.15191539,0.12480984,0.09274893,0.06225079,0.038345706,0.023030857,0.014774863,0.011168069,0.009941383,0.00980651,0.0099807875,0.010077272,0.009915956,0.009503701,0.009011212,0.008564536,0.008250364,0.0080344705,0.007902806,0.007839825,0.007863744,0.007994228,0.008164369,0.00824812,0.008083019,0.007699031,0.007234078,0.0069050468,0.0067643374,0.0068591214,0.0071915197,0.0077932733,0.008479676,0.008952134,0.008950571,0.008568442,0.00817692,0.008152432,0.008510835,0.008919682,0.0089558475,0.008541062,0.007942022,0.007614901,0.0076786713,0.007973018,0.008063235,0.007814792,0.0073183235,0.0070019625,0.0071616783,0.007898566,0.008994981,0.010080043,0.010810379,0.010904546,0.0103042675,0.009123151,0.007744309,0.0065663937,0.005847871,0.0055687744,0.00558688,0.0058208737,0.006238622,0.006766526,0.007201632,0.0074107,0.007369373,0.0071919784,0.0069414675,0.0067105717,0.0065559237,0.0065486953,0.0066511403,0.0068812687,0.0073595964,0.008302932,0.009746826,0.011345486,0.012480114,0.0126006855,0.011669756,0.010156512,0.008789734,0.008038727,0.007950284,0.008171239,0.008303504,0.00810117,0.0075966627,0.006946888,0.0063430336,0.005908429,0.0057386397,0.0058490816,0.0062263813,0.0069440342,0.008341708,0.011046608,0.015817448,0.023671746,0.03570718,0.052534204,0.07269248,0.09237036,0.10637012,0.11096757,0.10535103,0.09233305,0.07686926,0.06435154,0.05804689,0.057594966,0.059582178,0.059660282,0.055794045,0.049331393,0.044687346,0.045842234,0.053292274,0.06258419,0.067336164,0.06411058,0.05506091,0.046040665,0.04131258,0.04078825,0.040664863,0.03759247,0.030951193,0.023296827,0.018178709,0.01848267,0.024573624,0.033924937,0.041727576,0.04395326,0.039953258,0.03300594,0.027659163,0.026964648,0.031738624,0.04154111,0.0552393,0.07051141,0.08376051,0.091748945,0.09345428,0.09057873,0.08581651,0.08109037,0.07682442,0.07267925,0.06846189,0.06448038,0.06127545,0.05904082,0.057398636,0.055563096,0.052865405,0.049032792,0.044314478,0.03925462,0.034641087,0.03113675,0.02908961,0.028121872,0.027304852,0.025546722,0.022333523,0.018018363,0.013610224,0.010166752,0.008292305,0.00801729,0.008888769,0.010301684,0.012016967,0.014665757,0.019801388,0.028744087,0.041662168,0.05693498,0.07222255,0.08469072,0.091658145,0.09096795,0.08264834,0.0695223,0.05601127,0.04564183,0.0393277,0.035769787,0.032894656,0.029425235,0.025259873,0.02118297,0.01791701,0.015753713,0.014527936,0.01404192,0.014325147,0.017087761,0.027559856,0.056197073,0.113618046,0.20286937,0.3100706,0.40855995,0.46916577,0.4776111,0.4386551,0.37298325,0.30214754,0.23990978,0.18897079,0.1472034,0.11318019,0.087242045,0.06964834,0.057945948,0.04909807,0.041184813,0.03491487,0.03131321,0.030176373,0.029751314,0.028692225,0.026902722,0.025380349,0.024699874,0.024745071,0.024600225,0.023506658,0.021074342,0.017826127,0.014620055,0.013235949,0.017587949,0.035224274,0.07346044,0.13040607,0.18877457,0.2227131,0.21595801,0.17392813,0.11883491,0.07231986,0.04369312,0.030562406,0.026617808,0.027392225,0.030901805,0.036545426,0.04301786,0.048845004,0.052655753,0.055866104,0.060876798,0.069900155,0.081245996,0.09133313,0.09596775,0.09326426,0.0832712,0.06807614,0.051169526,0.036127646,0.025307884,0.018818999,0.015760351,0.014974634,0.01579054,0.017443774,0.019160697,0.020188386,0.020079978,0.018828653,0.016968885,0.015510271,0.01526508,0.016208587,0.0175007,0.018146085,0.017762834,0.016449636,0.014642482,0.0127610415,0.011267085,0.010390745,0.010025979,0.009947956,0.010124286,0.0108692,0.012315646,0.014050719,0.0151697965,0.015012465,0.013839236,0.012687991,0.01269538,0.014048145,0.015931375,0.016952898,0.016427116,0.014687669,0.012885988,0.011801063,0.011571364,0.011699606,0.0117980195,0.011652949,0.011406284,0.011240162,0.011229186,0.011196888,0.0114871785,0.016050827,0.03540924,0.0870276,0.184491,0.32396817,0.47510895,0.5944832,0.64939636,0.63611364,0.57668275,0.4984962,0.42098483,0.34996215,0.28746,0.23414005,0.19263262,0.1636085,0.14580232,0.13588865,0.12914689,0.12103323,0.10891083,0.09507974,0.0859096,0.08755326,0.10065713,0.11911217,0.13397099,0.13790704,0.12885635,0.11149176,0.09745484,0.10113042,0.12995268,0.17723715,0.22317831,0.24924539,0.24929476,0.23287146,0.21300434,0.1971569,0.18286996,0.16476922,0.1400224,0.111779265,0.08620167,0.06841073,0.05929103,0.05584399,0.055129886,0.058115765,0.071573265,0.10224309,0.15017366,0.20321345,0.24444008,0.2607713,0.25074473,0.22033036,0.17862777,0.13395484,0.09408606,0.064697854,0.047725156,0.040959354,0.040479228,0.043399233,0.04899722,0.057116617,0.0659812,0.07189987,0.0714128,0.063910216,0.051846813,0.03894895,0.028019657,0.020309137,0.016256995,0.016554132,0.022048825,0.032133803,0.04357903,0.051420737,0.052334398,0.04672267,0.03830769,0.031030372,0.02678482,0.024943495,0.023589393,0.021262245,0.017694741,0.013816025,0.010644286,0.008702739,0.0078578675,0.007828132,0.008599553,0.010229807,0.012569156,0.014996619,0.016941175,0.018080352,0.018324642,0.017475268,0.015461407,0.012722172,0.010173499,0.008596492,0.00811541,0.008291765,0.008610096,0.008834607,0.008959711,0.00899586,0.00884796,0.0084516965,0.007886169,0.0073461127,0.007002453,0.006936587,0.0072317696,0.008015663,0.0093382085,0.010995363,0.012369566,0.012863119,0.012227807,0.01100587,0.009918847,0.009512767,0.009676469,0.010102763,0.010401937,0.010322499,0.009665448,0.00848652,0.0071517625,0.0061750165,0.005946113,0.0069993413,0.010393577,0.017871248,0.029916994,0.04438749,0.05624519,0.06193605,0.062483665,0.063785076,0.070398785,0.08098086,0.088258885,0.0858425,0.07344698,0.057237323,0.044274062,0.038027752,0.03767437,0.041076623,0.047148213,0.055784125,0.06774578,0.08509005,0.11147801,0.14871651,0.19339031,0.23845565,0.27868366,0.3143272,0.3452989,0.36749473,0.37173414,0.35488632,0.32099748,0.2821406,0.2459917,0.21664713,0.19216807,0.17263083,0.15771683,0.14805886,0.14184932,0.13706166,0.13207857,0.12729405,0.124103166,0.1238485,0.1265757,0.13113053,0.13563526,0.13857582,0.1403846,0.14497449,0.15823571,0.18301837,0.21422206,0.24094208,0.2540777,0.25274625,0.24280834,0.23108941,0.22133799,0.21366264,0.20587009,0.1945164,0.17765547,0.15658885,0.13573511,0.11898456,0.1068952,0.09737537,0.088631146,0.0819788,0.07956101,0.081733055,0.08451989,0.08316255,0.075254336,0.062808104,0.04968043,0.039010532,0.031940397,0.028021937,0.026024103,0.024501845,0.02252037,0.019932112,0.017165756,0.014641181,0.012543599,0.010939076,0.009942231,0.009602049,0.009734013,0.009915824,0.009754624,0.009146881,0.00831831,0.007617935,0.0072751506,0.0073098224,0.0075402795,0.0077315755,0.007726485,0.0076163453,0.007625962,0.00791842,0.008395605,0.008822697,0.009041483,0.0090315575,0.008802417,0.008303833,0.007583289,0.0068655205,0.0064614266,0.0064760875,0.006781871,0.007154239,0.007517399,0.007841245,0.008081286,0.00806011,0.007711151,0.0070805755,0.006403433,0.0058695585,0.0056408364,0.005707295,0.005992592,0.0063180937,0.0065972563,0.0067468663,0.006745344,0.0065015596,0.0060560144,0.0055359364,0.0051601673,0.005028032,0.0051031676,0.0053006504,0.005565619,0.005897796,0.0062406757,0.0065088845,0.0066580917,0.006734224,0.0068149385,0.006902121,0.0070490553,0.0075019025,0.008660882,0.010684879,0.013083149,0.01491302,0.015365358,0.014406436,0.012641195,0.010799925,0.009317229,0.0082736965,0.0077101937,0.007519485,0.007599456,0.007635851,0.0075273216,0.0072684544,0.007116366,0.0071799806,0.0074235387,0.0076209274,0.0076169684,0.0075253765,0.0075930455,0.008073279,0.008830644,0.009594186,0.010033306,0.010138488,0.010056746,0.009989989,0.010049603,0.010214491,0.010411541,0.010470352,0.010261291,0.009775243,0.009155464,0.008640866,0.008324626,0.0082314955,0.008230767,0.008265954,0.008225783,0.008091217,0.007857319,0.007632714,0.008835271,0.016420359,0.041513618,0.09649509,0.18526137,0.29074,0.38094363,0.42417192,0.4113544,0.35500336,0.28074673,0.20943953,0.15471202,0.12067941,0.105741136,0.10219151,0.1008974,0.095133305,0.083766885,0.06941788,0.05531506,0.04320914,0.033455607,0.025976753,0.020393133,0.01657156,0.014565856,0.014913208,0.01725217,0.020293117,0.02209954,0.02251936,0.023462616,0.02789249,0.03693432,0.04852346,0.058436107,0.062609605,0.05959602,0.05090141,0.040101487,0.03097178,0.02614128,0.02670558,0.03265234,0.04271391,0.05466145,0.06476461,0.070287846,0.06987402,0.065126546,0.058056217,0.051064085,0.045645628,0.04293101,0.042529654,0.042477798,0.040317457,0.035021435,0.027847493,0.021049095,0.016120048,0.013092344,0.011221681,0.009906788,0.008858986,0.00801137,0.0073393583,0.006991856,0.0071213166,0.007710099,0.008451716,0.008922614,0.008940839,0.008599911,0.008232514,0.008021083,0.008028463,0.00813021,0.008239218,0.008233234,0.00802298,0.0075367093,0.0068493355,0.006138273,0.0056324066,0.005417619,0.005465226,0.0056061796,0.0056919307,0.00561038,0.0053880545,0.005165419,0.005102512,0.0052598696,0.0055088704,0.005660161,0.0055523706,0.005174777,0.0046257074,0.0040825284,0.0036931827,0.0034951428,0.0034196374,0.0033793787,0.0033607092,0.0033863971,0.0034481566,0.003482896,0.003446038,0.003349183,0.0032553526,0.0032184815,0.0032506266,0.0033151044,0.0033367507,0.003285351,0.0031870937,0.0031364718,0.0031699252,0.0032480278,0.0032810543,0.003222516,0.0030991,0.002940085,0.0027654755,0.0025593415,0.0023471313,0.0021514425,0.0020068726,0.0019020626,0.0018259605,0.0017557163,0.0016900742,0.0016237069,0.0015593254,0.0014956929,0.0014329007,0.0013652636,0.0012827362,0.0011912422,0.0011144354,0.0010911484,0.0011261291,0.001187108,0.0012074754,0.0011525137,0.0010277862,0.0008847946,0.00075862155,0.00066007883,0.00056359207,0.0004542166,0.00033379262,0.00023393193,0.00018632584]