[0.0033495813,0.003391614,0.0035686956,0.0040325015,0.004887464,0.0061695767,0.007754754,0.009431254,0.01089932,0.0119682485,0.0125520015,0.0127103105,0.012456519,0.011826416,0.010884096,0.009892167,0.009139802,0.008821987,0.008803431,0.00878827,0.008509782,0.008043088,0.007667204,0.007673988,0.008080686,0.008795481,0.009757109,0.011221069,0.013517828,0.017035881,0.021723472,0.027469724,0.033908784,0.040883552,0.04752879,0.05251244,0.05420782,0.052514058,0.04867376,0.044521455,0.040382817,0.035671744,0.029766975,0.023456363,0.01791196,0.013989962,0.011562216,0.010210661,0.009490009,0.009110537,0.00875711,0.008201063,0.007367976,0.0064037615,0.0055093467,0.00483899,0.004394844,0.0041436516,0.0040336805,0.004129403,0.004496871,0.0052686515,0.0063722483,0.008764734,0.014441255,0.026908295,0.045355473,0.06419384,0.07257036,0.06638401,0.049503732,0.03530709,0.034252185,0.052899927,0.08785215,0.13063388,0.16546188,0.18021595,0.16908564,0.13910125,0.10149308,0.06893093,0.049182814,0.04561779,0.05558932,0.072167926,0.087464295,0.09611958,0.09629205,0.08939483,0.07788005,0.06523221,0.053280238,0.04332115,0.03589642,0.033384915,0.039304167,0.055640727,0.07919588,0.10085725,0.11053624,0.10341978,0.08288553,0.058445375,0.04069614,0.038183145,0.05336674,0.082094304,0.11359453,0.13671277,0.14429577,0.13629664,0.11742572,0.093864314,0.071719,0.056289658,0.052465174,0.06126016,0.07814432,0.09371352,0.100171,0.095867194,0.0856075,0.075466715,0.06962269,0.06956338,0.07569047,0.08701313,0.098931216,0.104416154,0.096953034,0.07768347,0.05410236,0.035840683,0.026991865,0.026648557,0.033375498,0.04730625,0.067468,0.087240554,0.097638875,0.09360584,0.07867647,0.06142625,0.049228486,0.04381205,0.042883147,0.043693155,0.047228504,0.0555627,0.06824478,0.07897529,0.08201113,0.07875997,0.077692315,0.08562773,0.09866724,0.10700082,0.102329366,0.086992085,0.068502165,0.05716835,0.060153127,0.0806399,0.11169368,0.13690896,0.13942052,0.11574518,0.0789187,0.047628623,0.03192435,0.030078188,0.034717605,0.041116465,0.047323782,0.052472293,0.05423976,0.052214738,0.048502844,0.047389697,0.05044702,0.055832732,0.059885237,0.060904685,0.059253972,0.055446357,0.049297437,0.041413534,0.035407618,0.035897464,0.04474553,0.058014024,0.06818693,0.069948964,0.06353652,0.05469124,0.048039675,0.044613663,0.041010227,0.03588796,0.03110157,0.031057252,0.03727998,0.047690917,0.057867665,0.063776165,0.06355597,0.058028918,0.05105825,0.046875075,0.047851223,0.053076487,0.06004429,0.0664849,0.07115849,0.073985584,0.075238414,0.074867584,0.07170489,0.064573854,0.05367245,0.04119305,0.02984102,0.021325253,0.015879763,0.013852931,0.01714715,0.029312223,0.05150351,0.079481035,0.10365272,0.116049625,0.1146496,0.10357958,0.08747821,0.06930403,0.050759364,0.034226295,0.022992134,0.01997189,0.027562508,0.043313462,0.061041456,0.071337305,0.07246869,0.06935388,0.0707258,0.0777272,0.08520477,0.0872357,0.082987666,0.07527949,0.0658908,0.055050537,0.043996464,0.036117565,0.034965456,0.04016179,0.04730794,0.05038746,0.045991022,0.03592322,0.025555117,0.020309264,0.021450311,0.027327152,0.036411017,0.049077768,0.06481715,0.07964882,0.08850345,0.08965542,0.08640462,0.082324006,0.078487664,0.07268504,0.064145364,0.05294599,0.04098697,0.029144896,0.019635292,0.014485055,0.015568336,0.021596828,0.029385453,0.035846,0.041307297,0.048772525,0.061129242,0.07756913,0.09273881,0.09933493,0.09249132,0.073775694,0.050333757,0.030893968,0.020575792,0.018845188,0.021156633,0.022159195,0.020057814,0.0167088,0.015963815,0.018625148,0.022167236,0.02286914,0.02052029,0.019055212,0.023342257,0.03489657,0.04924712,0.0598603,0.061662525,0.056637358,0.04975094,0.046950355,0.04826325,0.051691994,0.05418719,0.05663098,0.060209442,0.064650476,0.0666346,0.062683545,0.052439537,0.038991112,0.027602268,0.022072956,0.022662798,0.025656953,0.026300417,0.022682225,0.016779142,0.012232569,0.011023547,0.013093951,0.018377969,0.02759756,0.041125257,0.056054503,0.06743345,0.07026059,0.06363193,0.04989681,0.034219053,0.021433571,0.015714109,0.01831577,0.028161252,0.041941166,0.057798367,0.075294174,0.09595094,0.11862288,0.13950033,0.15116484,0.14837134,0.13037178,0.10293293,0.0741249,0.05167592,0.0405008,0.041772455,0.051243585,0.06009538,0.06015594,0.049412724,0.033573747,0.021134129,0.017985767,0.024249451,0.03584673,0.047257353,0.05500753,0.058281664,0.05904052,0.058854505,0.058332156,0.05544229,0.049301386,0.04111904,0.036133666,0.037739437,0.04587461,0.055435125,0.06411677,0.07174417,0.08031932,0.08620307,0.084821224,0.073290415,0.05631748,0.040880065,0.03172897,0.027992582,0.025805855,0.023176799,0.021176316,0.02248848,0.026875863,0.0310226,0.030928249,0.025599098,0.017794298,0.011927017,0.012209454,0.020568337,0.036245406,0.054429654,0.06898149,0.07488661,0.07225474,0.06408216,0.054005295,0.04313666,0.03170077,0.020414492,0.01098599,0.00478608,0.0018466171,0.0017510871,0.0045967377,0.011328991,0.022033075,0.034764867,0.04539178,0.049917955,0.046783075,0.038735755,0.031927265,0.032565195,0.042283032,0.056368012,0.06694064,0.06906166,0.06353258,0.05540155,0.049229678,0.047492083,0.04972124,0.05391782,0.056201722,0.053457737,0.045983303,0.039754927,0.043613788,0.061177988,0.08741922,0.109518886,0.119249366,0.11471894,0.10169554,0.08334917,0.06271351,0.04171739,0.0250402,0.015343611,0.012222707,0.012283425,0.012818468,0.013752658,0.016594334,0.021584533,0.026228815,0.026888803,0.022518778,0.015985837,0.013028051,0.018524678,0.03376863,0.055596765,0.07843653,0.09886852,0.11654377,0.13209797,0.14275815,0.14360105,0.13247447,0.11201026,0.0885903,0.0677251,0.05559632,0.057501245,0.07494388,0.099476695,0.11492431,0.10945239,0.08569413,0.059861213,0.04658909,0.048839267,0.05764852,0.06401978,0.06526404,0.06521221,0.06702814,0.069920644,0.06972801,0.06299281,0.05019757,0.03516344,0.022960136,0.016025225,0.013981193,0.0141070485,0.014218354,0.013148936,0.011117107,0.009083903,0.008814141,0.012580809,0.021498471,0.03421427,0.046351794,0.053463712,0.053259075,0.047225,0.038213994,0.029023059,0.020900628,0.014916153,0.012218542,0.014404588,0.02153333,0.031352844,0.03963813,0.04374431,0.04379259,0.04186693,0.038859814,0.03496365,0.03156718,0.031302504,0.03601078,0.042991906,0.047913928,0.04635815,0.0391513,0.029254252,0.021118892,0.015906611,0.013085686,0.010927015,0.009196061,0.008944006,0.012186959,0.019844184,0.030375674,0.039578427,0.043884113,0.043176476,0.041305553,0.04208395,0.04652376,0.05208682,0.05547948,0.054283213,0.048277233,0.039334863,0.031116625,0.027726421,0.031119207,0.039965477,0.049986515,0.057445634,0.060658034,0.06016552,0.056317925,0.049299285,0.03992619,0.03108879,0.026101537,0.026945403,0.032597486,0.0404921,0.047471326,0.05140318,0.050943222,0.046313416,0.03872466,0.030136896,0.022021987,0.015322543,0.010354574,0.007223886,0.005738254,0.005667478,0.006867682,0.009432235,0.013566746,0.01940929,0.026325202,0.0331189,0.0383983,0.042464226,0.04621673,0.05019932,0.05214939,0.049435884,0.0408607,0.02916847,0.018628823,0.013224475,0.014014748,0.01984846,0.027899886,0.035780024,0.041957214,0.046330143,0.049081117,0.05023622,0.049030628,0.044875294,0.038617898,0.032948647,0.031162426,0.03413911,0.04003525,0.044885308,0.04632185,0.04344991,0.03756496,0.029622048,0.021270625,0.014347944,0.01218354,0.018330365,0.03407191,0.05601372,0.076370485,0.088485725,0.09165848,0.090691976,0.090409935,0.09005884,0.086411335,0.078727245,0.07288728,0.07648453,0.09119452,0.111135006,0.12533419,0.12776048,0.11650044,0.09602981,0.0703427,0.045444354,0.025119612,0.012404679,0.0071115945,0.008452331,0.014914461,0.024686947,0.034183394,0.039882828,0.040941212,0.041818228,0.049478184,0.06779006,0.09265477,0.1137436,0.12084207,0.11039555,0.08646796,0.05813447,0.03403336,0.019790784,0.016206313,0.02120986,0.03096722,0.041775733,0.05005373,0.053361326,0.05064014,0.044080377,0.038321804,0.04033383,0.053663462,0.07673639,0.09997042,0.11301281,0.10871771,0.089127354,0.06186225,0.036637995,0.019834345,0.0136672305,0.017047996,0.026731312,0.038260065,0.046857346,0.049639773,0.046619523,0.040606022,0.036362022,0.039733857,0.055000354,0.08069428,0.10868963,0.1289171,0.137121,0.13533814,0.1273413,0.11268287,0.09019346,0.06210704,0.03596731,0.018942107,0.01423451,0.020083765,0.03237855,0.045681175,0.05521889,0.05792585,0.05421186,0.0467817,0.039050613,0.032853227,0.027988136,0.023191012,0.018347844,0.015679283,0.019096147,0.030774578,0.04925205,0.06944468,0.08592367,0.09506732,0.09551423,0.088591896,0.0771924,0.06519355,0.05392203,0.042946592,0.03132891,0.020304115,0.012029585,0.008309958,0.010122728,0.018016089,0.030953402,0.045238078,0.05539918,0.058155652,0.054587137,0.04893333,0.04432529,0.04055995,0.035676483,0.02944447,0.024949424,0.026422918,0.035436705,0.049163338,0.06168102,0.06748169,0.06392867,0.052279968,0.036747083,0.022471525,0.013357423,0.010876256,0.014354336,0.021999354,0.031226417,0.039472234,0.044334326,0.045257058,0.042917296,0.039171036,0.034731384,0.029741084,0.024131933,0.019701129,0.019256853,0.024404952,0.033357758,0.041892827,0.047904328,0.053573374,0.06327238,0.077797554,0.09277365,0.10232096,0.10393694,0.09930653,0.09077736,0.07904675,0.06372631,0.046028923,0.029074855,0.016369121,0.009756871,0.009618994,0.015381802,0.025843551,0.03839529,0.04962037,0.05658613,0.058370236,0.056009397,0.051418368,0.04616845,0.04078013,0.03534854,0.030640058,0.029648772,0.037254844,0.057696506,0.09045136,0.1279152,0.15890977,0.17568181,0.17850088,0.17265223,0.16040124,0.1401033,0.10953585,0.07383215,0.04127806,0.019666372,0.009988838,0.010525915,0.018008428,0.030074991,0.043079946,0.053856257,0.060120225,0.061952885,0.059988707,0.055369083,0.04979269,0.045897916,0.04561867,0.048169255,0.0500004,0.047429483,0.040034726,0.031772435,0.02956599,0.039344847,0.06329123,0.09744952,0.13220966,0.15603553,0.15999843,0.14418204,0.114685,0.08230099,0.054838073,0.03837778,0.03472756,0.042113055,0.054987412,0.065583624,0.06969527,0.06704304,0.06281955,0.060712863,0.061532486,0.060812566,0.05481485,0.042840045,0.028891707,0.01760398,0.012546525,0.015308405,0.02564773,0.04040674,0.053343985,0.058656875,0.05483967,0.04584201,0.036915462,0.030652404,0.026036007,0.021913,0.020173468,0.026742404,0.047783237,0.08447849,0.1289397,0.16603076,0.1806945,0.16630693,0.12905045,0.08364424,0.045465678,0.022903094,0.016907603,0.023241663,0.03623445,0.049498003,0.0580778,0.059460387,0.0550765,0.048505712,0.0432391,0.040540382,0.039081153,0.03713185,0.033961527,0.030903136,0.0288325,0.027751768,0.026424304,0.025642535,0.028219277,0.03905135,0.06025945,0.08910503,0.11530874,0.12819183,0.12382274,0.11252066,0.108916104,0.119244434,0.13235657,0.13180245,0.111852705,0.083327696,0.06315102,0.058751557,0.06471723,0.06841593,0.062093187,0.046505075,0.029282058,0.017845001,0.016051838,0.0233983,0.036533985,0.050104856,0.05876723,0.059779316,0.054608013,0.04777388,0.0430136,0.04130596,0.040415034,0.038160276,0.033427488,0.027474828,0.022228329,0.020138124,0.022587733,0.029573703,0.039604362,0.05020344,0.058979094,0.062897794,0.06045462,0.052070376,0.04244396,0.036747217,0.037580583,0.041891217,0.044548173,0.04346417,0.042104464,0.045649454,0.055638183,0.06728151,0.07370859,0.06997095,0.057162598,0.040021073,0.02465219,0.014301599,0.0093573425,0.008447312,0.010693207,0.015827464,0.023249095,0.031615023,0.03905827,0.04428942,0.046138037,0.04508124,0.042694155,0.042480793,0.04575618,0.051315904,0.05467611,0.052954942,0.045775715,0.036102314,0.027411973,0.022912068,0.024657274,0.03392533,0.05124131,0.07504236,0.10032872,0.11826078,0.121672295,0.110863484,0.09668522,0.09407103,0.11093848,0.14179955,0.16918479,0.17762612,0.16118906,0.12906493,0.09570693,0.07671055,0.07906535,0.10109907,0.12877236,0.1451883,0.13781764,0.109234124,0.07159622,0.039908923,0.02134645,0.016674953,0.022041611,0.033686806,0.046785623,0.057210613,0.06184472,0.061668795,0.05983059,0.05950846,0.060517833,0.060450573,0.057073563,0.050357804,0.04251701,0.037285328,0.04017715,0.05492128,0.080795914,0.10887897,0.12977494,0.13931406,0.1438811,0.15088959,0.16207613,0.17173739,0.17673993,0.17986412,0.18608248,0.19289137,0.19223851,0.17692904,0.14817633,0.11594664,0.09435359,0.097089775,0.12643136,0.17158933,0.20999241,0.22674195,0.22434287,0.22248685,0.23613656,0.2583311,0.26427832,0.2333516,0.1713319,0.10333553,0.05606742,0.03741889,0.040367503,0.051089365,0.06082368,0.06583663,0.06722451,0.06690837,0.06743098,0.06914258,0.070865236,0.07089543,0.07142163,0.078038156,0.093184195,0.11069584,0.117575794,0.10756899,0.086040914,0.06739333,0.05972643,0.06179975,0.06588744,0.06977201,0.07660887,0.089893304,0.104640774,0.11225448,0.110214405,0.111070864,0.13377963,0.18950193,0.2682825,0.34548816,0.39460382,0.4031482,0.37268648,0.3159358,0.2474448,0.18194978,0.12879287,0.09254089,0.072033636,0.0647111,0.06654644,0.07274396,0.07755094,0.07741502,0.07203882,0.06383399,0.055541504,0.049847264,0.049883652,0.057454783,0.07070606,0.08371615,0.09236399,0.098903455,0.10901612,0.123923786,0.13535713,0.1344053,0.11958907,0.10203082,0.09296275,0.096766286,0.10572558,0.11170011,0.109893315,0.10292106,0.0929814,0.08230862,0.07107804,0.061153714,0.054033633,0.050819922,0.050511505,0.050882082,0.049987104,0.047693,0.045137916,0.043473497,0.042133152,0.040067952,0.035986595,0.030198118,0.024110727,0.020636844,0.021949023,0.028409472,0.037213203,0.04472092,0.047714774,0.04581281,0.040422093,0.034387257,0.029695228,0.026793474,0.024778211,0.022761354,0.02107747,0.020369062,0.020742826,0.021096298,0.02040402,0.01871902,0.017613972,0.01945202,0.025623688,0.035069544,0.043886144,0.047858205,0.04517283,0.0376125,0.028412798,0.02069523,0.017100824,0.020719215,0.032889873,0.05051403,0.065655045,0.070637904,0.06407822,0.05175929,0.042269897,0.040631194,0.04659784,0.056239467,0.06512115,0.07009691,0.06967082,0.06449811,0.056892693,0.04989891,0.045419455,0.04330787,0.04195037,0.0396407,0.03543145,0.029470386,0.022411874,0.015593983,0.010141865,0.0068828897,0.005558767,0.005383456,0.005441306,0.00525677,0.004839093,0.0045786356,0.005127065,0.007089919,0.010714914,0.016134592,0.023491645,0.032753643,0.04229315,0.04935283,0.051684808,0.04993545,0.046594795,0.043791372,0.04177473,0.039653514,0.036426943,0.0315957,0.025883803,0.021561213,0.020792885,0.024001954,0.02943184,0.035772834,0.042529717,0.049364325,0.054208588,0.055118382,0.051828574,0.046622988,0.041845504,0.038983613,0.038152117,0.038937714,0.04103556,0.045571465,0.056534827,0.077117674,0.10496262,0.12978363,0.14065212,0.13446905,0.11764776,0.100483425,0.09137445,0.09665844,0.11932369,0.15629989,0.196943,0.22990437,0.24657862,0.24333276,0.2156064,0.16695218,0.10858347,0.06079069,0.035360157,0.032913163,0.043490056,0.057450164,0.068862535,0.07513421,0.07572215,0.07098296,0.063015275,0.05467755,0.04857908,0.04516962,0.043650392,0.045542795,0.057319015,0.085463874,0.12678103,0.16630125,0.18756609,0.187046,0.17257321,0.15473369,0.13913485,0.13543753,0.15764572,0.21632068,0.300135,0.37678564,0.40844658,0.37651777,0.2917601,0.18728577,0.09750134,0.041188005,0.01879306,0.023171008,0.0505039,0.09983796,0.16573775,0.23197295,0.2762865,0.28198782,0.24711907,0.18730284,0.124976575,0.08026627,0.059613395,0.058359463,0.06466553,0.06886351,0.06725966,0.06119208,0.05429888,0.048219338,0.043980096,0.04089627,0.038937986,0.0397682,0.05106236,0.0851896,0.14718966,0.22212397,0.27732718,0.28792572,0.25788283,0.21364252,0.17918028,0.15931557,0.1500956,0.14668964,0.14647473,0.14311473,0.13557477,0.13270187,0.14527626,0.16978721,0.18480738,0.17086977,0.1277735,0.07569257,0.03627461,0.01861863,0.0186103,0.026901387,0.036174987,0.0420582,0.043964665,0.042966556,0.041667003,0.041435707,0.042969603,0.046251174,0.052284945,0.06297114,0.077771395,0.0923002,0.098201245,0.09198984,0.07801494,0.06844533,0.07189698,0.08706819,0.10264087,0.10718444,0.09882578,0.08596853,0.079657495,0.082824074,0.08965618,0.0922522,0.09128699,0.0961901,0.11739448,0.1550041,0.1947567,0.21627642,0.20475675,0.16301952,0.107412376,0.058885094,0.028862543,0.018053101,0.019824537,0.027397305,0.03589381,0.04275088,0.046782386,0.047659073,0.045746237,0.04200086,0.041704383,0.055428196,0.10046788,0.18236792,0.28534177,0.36476088,0.3856171,0.3449318,0.2859961,0.25221667,0.2580839,0.27461326,0.26732424,0.22297011,0.15994368,0.10483346,0.074027576,0.065701954,0.06995052,0.0776278,0.08694165,0.098932855,0.11221477,0.119866826,0.115736544,0.10236282,0.08995312,0.08906899,0.0991404,0.11087815,0.11091564,0.09496432,0.06753037,0.040139,0.02068547,0.011558297,0.010388822,0.014572122,0.022535244,0.032434773,0.042038325,0.048710268,0.051589567,0.050982933,0.048654035,0.04576865,0.04316838,0.040242456,0.036876395,0.03425524,0.036877837,0.04937339,0.07240895,0.09922076,0.11974422,0.12819278,0.1276484,0.12601738,0.12786166,0.12990092,0.12489122,0.108345695,0.08256102,0.054516453,0.03140759,0.017485032,0.013363403,0.016958991,0.024772415,0.032523233,0.037113924,0.037318304,0.03607158,0.038914923,0.05214548,0.07686324,0.10781995,0.13394178,0.1461966,0.13973172,0.117796786,0.08679873,0.0568179,0.035386555,0.027168853,0.030340625,0.03961474,0.048582513,0.053469718,0.053673822,0.05053158,0.045915935,0.042225037,0.043170314,0.052114338,0.06929823,0.08934879,0.10465393,0.10925881,0.10304013,0.08962047,0.0737867,0.058361154,0.044001605,0.031003222,0.019959586,0.012558788,0.009564853,0.011079602,0.015956825,0.02260339,0.029284075,0.034628954,0.038561817,0.04088333,0.041253597,0.03863153,0.034188773,0.031004466,0.03212474,0.03670087,0.04062863,0.04122607,0.04097581,0.044636834,0.0535146,0.062764086,0.06773252,0.06891189,0.07155845,0.077525415,0.08161938,0.07640244,0.060126483,0.039419644,0.023235781,0.01642494,0.017767841,0.022770211,0.027778672,0.030691313,0.031479366,0.029936725,0.026844209,0.023301527,0.022312043,0.027417054,0.041691165,0.068239935,0.106965266,0.1551485,0.1982712,0.21983849,0.20445631,0.15874964,0.101059295,0.05613574,0.032795463,0.028285325,0.031556167,0.035652224,0.037857737,0.039031085,0.040226843,0.04225907,0.04689541,0.05538292,0.06921065,0.08542627,0.10213847,0.11372753,0.11932031,0.11723164,0.11348274,0.11171609,0.11261371,0.10857161,0.092985086,0.06735664,0.04061604,0.022623593,0.016199913,0.018815743,0.025289925,0.031921532,0.036778715,0.03920752,0.039471034,0.03780222,0.03591149,0.03612488,0.042445954,0.05506395,0.07054149,0.08007938,0.07965601,0.071582146,0.066659965,0.072967984,0.090863824,0.11079558,0.120264925,0.11257911,0.08965972,0.061603382,0.038251374,0.025698528,0.022829307,0.02542491,0.028802356,0.030868554,0.031107532,0.029752895,0.02691008,0.023886768,0.023547897,0.029407024,0.043324035,0.06347427,0.08587452,0.10399035,0.11217923,0.10540692,0.08578173,0.060531627,0.040426824,0.030751528,0.03074187,0.035322633,0.040257733,0.04347359,0.045287568,0.047328282,0.052419033,0.06159687,0.07414042,0.08475257,0.08815017,0.07971851,0.062371794,0.04285657,0.030324204,0.027399236,0.031825054,0.037126895,0.04045553,0.041599814,0.04386242,0.04786959,0.052730206,0.054435313,0.05172124,0.046765283,0.04729863,0.06027874,0.08725548,0.12139288,0.15417452,0.18104388,0.2020865,0.2135024,0.20687127,0.17515749,0.12492623,0.07235194,0.03375038,0.013451554,0.0071396804,0.007809481,0.011696234,0.017237967,0.023011943,0.027400432,0.028988719,0.027720733,0.024533981,0.021378623,0.020850426,0.024673263,0.032374367,0.040145233,0.043904483,0.04197535,0.036812168,0.031959713,0.029182203,0.027405472,0.02468974,0.020348106,0.015666824,0.013132083,0.015020085,0.021894144,0.032002777,0.041958395,0.048571374,0.050363526,0.04753415,0.041619007,0.034704864,0.029824162,0.02887907,0.032030124,0.036537107,0.040113736,0.041453812,0.040900987,0.03797443,0.032287676,0.02431956,0.016371915,0.011075278,0.010018743,0.01307189,0.018774906,0.025123158,0.030139247,0.032486767,0.03138015,0.027409926,0.022382284,0.019027263,0.018963182,0.021877408,0.025777245,0.028341576,0.028146723,0.025138468,0.020998204,0.018104017,0.01856347,0.02301965,0.030491477,0.03847492,0.04354401,0.04365762,0.03973564,0.035808083,0.035697665,0.040165093,0.04644576,0.050390303,0.04986916,0.046163235,0.043494273,0.045287687,0.051416874,0.05764586,0.059824318,0.056660157,0.05097979,0.04577704,0.042945836,0.04195255,0.042047054,0.042336047,0.042269137,0.041770164,0.041068133,0.041035816,0.041586112,0.04229589,0.04198057,0.04057848,0.038738888,0.037961077,0.039071802,0.04227026,0.04703856,0.052909568,0.05880217,0.06341934,0.06554229,0.06562246,0.064645104,0.06270214,0.057869185,0.048473075,0.035590507,0.023089712,0.015444326,0.014918525,0.021224016,0.030864626,0.03904198,0.04100276,0.036089975,0.026984578,0.018751493,0.014551222,0.015793396,0.021256736,0.029053232,0.03765605,0.04892172,0.067104824,0.09435067,0.12456172,0.14556628,0.14808476,0.13575418,0.12318427,0.12484328,0.14330249,0.16749348,0.18457264,0.19123167,0.19861972,0.21724029,0.24530043,0.26474333,0.2619254,0.24171221,0.22908609,0.24370503,0.2813275,0.31503978,0.32321224,0.30982482,0.29652414,0.29609385,0.301244,0.29890093,0.29083756,0.288765,0.30441585,0.3331574,0.36535493,0.38332048,0.3797128,0.3546559,0.3256915,0.30645517,0.2994347,0.29095182,0.27023613,0.23821306,0.20378071,0.17248468,0.142729,0.11460781,0.092113905,0.081289835,0.08149194,0.087470174,0.09307458,0.09578813,0.09574086,0.09446334,0.094748996,0.099865146,0.10926056,0.11811099,0.11837927,0.108798325,0.09279763,0.080198675,0.07723235,0.09116123,0.11920484,0.1521666,0.1685689,0.15717565,0.11942353,0.075137004,0.039780673,0.020740846,0.0132337315,0.0117423115,0.011891976,0.012335329,0.012634471,0.013003263,0.013653514,0.014528164,0.015237032,0.015775746,0.016811214,0.019540219,0.024220178,0.029579977,0.033176925,0.033502456,0.031007616,0.027448276,0.02429805,0.021858737,0.020345101,0.02007251,0.021614054,0.024364388,0.027090468,0.028262362,0.027547315,0.025482835,0.023330426,0.021897493,0.02163124,0.02215065,0.022721147,0.022245422,0.020444423,0.018278025,0.017509641,0.019026974,0.021815648,0.023952046,0.02432727,0.02359807,0.02291368,0.02268108,0.022455579,0.022376625,0.023454817,0.026174119,0.029210687,0.030092506,0.028105414,0.025059119,0.024189474,0.026633441,0.030678028,0.032880206,0.031071901,0.025680462,0.01899585,0.013700544,0.011631251,0.01365273,0.019440038,0.027640427,0.036227357,0.04296391,0.045891758,0.04384615,0.03745457,0.029563276,0.024615576,0.026079306,0.03441781,0.04619572,0.056773026,0.062667236,0.06367448,0.061158184,0.05692249,0.051548447,0.045771975,0.040654007,0.037658583,0.036581468,0.035263117,0.031150179,0.023831898,0.015743503,0.010178249,0.009341319,0.012969825,0.019281903,0.025728593,0.030983137,0.03479146,0.03751957,0.03851592,0.036600646,0.031760227,0.026434055,0.02461193,0.028794622,0.037511755,0.045937117,0.04869676,0.044210732,0.03492172,0.026409732,0.022703553,0.025226584,0.031576425,0.038556118,0.04330936,0.04523835,0.044886023,0.043169215,0.039943893,0.03465808,0.027457574,0.020493219,0.017101571,0.019573368,0.026943298,0.03487524,0.03854617,0.035993267,0.029805936,0.024839794,0.024668595,0.029134654,0.035614144,0.041070506,0.043982357,0.043338668,0.039150596,0.03191,0.023862971,0.017075064,0.012878232,0.010936905,0.010661458,0.011950378,0.014928934,0.019515237,0.024492532,0.028719971,0.030739762,0.03033539,0.027733877,0.024907256,0.023691641,0.025100635,0.027841486,0.029801004,0.029864972,0.02860211,0.027851477,0.030136833,0.03820164,0.053959876,0.07376511,0.09079262,0.09698338,0.09425131,0.0879034,0.08524319,0.083531946,0.08046176,0.07373566,0.068022214,0.065206766,0.06640231,0.06890741,0.07111288,0.070370875,0.065749526,0.056888696,0.045792025,0.034678794,0.026449569,0.022624152,0.023624806,0.02771374,0.03311502,0.03800145,0.041663885,0.0429052,0.041401207,0.03731777,0.033009756,0.031177856,0.034409985,0.042393684,0.05387755,0.06784201,0.0856602,0.10624524,0.12368157,0.12952511,0.12177219,0.10807722,0.0980564,0.094193526,0.08951771,0.07756464,0.05851111,0.039900925,0.02895686,0.028381085,0.03575529,0.046013277,0.05427346,0.057277407,0.055139497,0.050492857,0.04717045,0.047300886,0.050587524,0.05439824,0.055869382,0.054019034,0.05243756,0.05908808,0.082045816,0.12077884,0.16411538,0.19523454,0.20631778,0.20094974,0.19181661,0.18724696,0.18908751,0.19065028,0.18318053,0.16027029,0.12408159,0.084371425,0.052987788,0.035908844,0.032054525,0.03519414,0.039459955,0.04087774,0.038995247,0.035356864,0.03306197,0.034451906,0.039783716,0.04612736,0.049520005,0.047634963,0.04137792,0.03335029,0.025694543,0.020106794,0.018947063,0.026129002,0.044178396,0.07096685,0.099247575,0.12096564,0.13433474,0.14374553,0.15442681,0.1636882,0.16230237,0.14543724,0.121412635,0.110555045,0.12626044,0.16378395,0.19938272,0.21180181,0.19688554,0.16853853,0.14241965,0.123533696,0.10786319,0.09112162,0.07450574,0.061969955,0.056331992,0.057098124,0.06137529,0.06532129,0.06639453,0.06368074,0.058517605,0.05277111,0.049086437,0.049090207,0.054406807,0.066797055,0.08803297,0.11687023,0.1469876,0.17145592,0.18906504,0.20600413,0.2270786,0.24890232,0.26214528,0.262673,0.255876,0.24949092,0.24548124,0.23901652,0.22839046,0.21519347,0.20099984,0.18087353,0.14953308,0.10890656,0.06867155,0.039736263,0.026213259,0.025556229,0.031189715,0.03703296,0.039503884,0.03807975,0.036548942,0.042951018,0.06886274,0.12022895,0.18953747,0.25548315,0.2949868,0.29870978,0.2716099,0.23083675,0.19470377,0.18444188,0.21364744,0.2781718,0.34787726,0.37991074,0.35240987,0.27867895,0.19889714,0.14271697,0.11993462,0.121451996,0.14010946,0.16351688,0.17944558,0.17104976,0.13885444,0.09443239,0.05871902,0.03980218,0.035214156,0.035293285,0.035552334,0.037958015,0.048044384,0.066762656,0.0894199,0.10699156,0.11741269,0.122950934,0.12986673,0.13812988,0.14785181,0.15975975,0.1781758,0.20264103,0.22467078,0.23020697,0.2096499,0.16656823,0.1158003,0.07415277,0.04996325,0.042984754,0.04970202,0.06932497,0.10083286,0.14064123,0.18126486,0.22089751,0.2593679,0.29655907,0.32244918,0.3347319,0.3408412,0.3554821,0.37450334,0.3753477,0.3367392,0.2606826,0.17392431,0.10359743,0.06414716,0.050296526,0.052427292,0.06371137,0.08639983,0.12142297,0.16339178,0.19988346,0.22774363,0.2538018,0.2907561,0.33278108,0.3626409,0.36045504,0.32978806,0.28850332,0.25727788,0.24196678,0.23519473,0.22552788,0.20275688,0.16675846,0.123966955,0.08926924,0.07256854,0.078388415,0.10007333,0.1291341,0.15551823,0.17460394,0.1838863,0.18450874,0.18155299,0.18489552,0.20481978,0.23976882,0.27567255,0.29365778,0.28841934,0.2663533,0.23845138,0.20551854,0.16691579,0.12395438,0.08638244,0.060842514,0.05100098,0.05717743,0.080933124,0.11965998,0.16443513,0.20266639,0.22768159,0.24071948,0.24696852,0.24771212,0.24008822,0.22147815,0.19359143,0.16148208,0.12867291,0.09629926,0.06530557,0.039638106,0.02406097,0.020392634,0.025623074,0.034202684,0.04125133,0.046125412,0.052721452,0.06936755,0.10012714,0.14166927,0.18105082,0.2095194,0.22671942,0.23991452,0.25040993,0.2522946,0.23967505,0.21678215,0.19499075,0.18334532,0.1814224,0.18167959,0.17735441,0.16555338,0.15051721,0.13562505,0.12478662,0.11472213,0.10379359,0.08917189,0.07456178,0.06259835,0.05597521,0.053234886,0.05383947,0.061094385,0.081044726,0.11904538,0.16882193,0.21552722,0.2399382,0.23748739,0.21883382,0.20169152,0.19299531,0.18538825,0.1701381,0.14603247,0.1221027,0.10495465,0.09588928,0.09023371,0.08650768,0.088808656,0.10637268,0.14241426,0.1914224,0.23691249,0.26663616,0.27514088,0.2711735,0.26727065,0.27352962,0.28762847,0.29649672,0.28974023,0.2668092,0.2369109,0.20418513,0.16862826,0.13076298,0.10172538,0.09702442,0.12617801,0.1809317,0.23604433,0.2639321,0.25475383,0.2234854,0.1939727,0.17907858,0.17620188,0.18175352,0.19762783,0.2228659,0.243064,0.23773287,0.20084323,0.14608137,0.09671083,0.06496378,0.050653875,0.045627248,0.043577578,0.040459514,0.035134893,0.028658539,0.023604041,0.021908494,0.023071306,0.024655035,0.024562322,0.023047285,0.022758776,0.02624246,0.033504196,0.041479316,0.046812728,0.04837297,0.047982622,0.047835395,0.04935162,0.052715257,0.05863596,0.06778422,0.08077037,0.09754271,0.11739731,0.1401472,0.16591607,0.19561844,0.22674721,0.2535834,0.26684925,0.26136163,0.23488115,0.19380222,0.14540918,0.10185363,0.0684452,0.048506673,0.038260628,0.03552453,0.03700559,0.04104433,0.045153487,0.048183724,0.04988968,0.051556107,0.053822998,0.056530494,0.05782269,0.056494754,0.052875604,0.049452346,0.048599016,0.050422836,0.052354917,0.050850194,0.044270407,0.033913042,0.02331838,0.01598617,0.014162029,0.0186135,0.029586734,0.04690094,0.06997481,0.09642112,0.12113729,0.13866766,0.14692193,0.1526615,0.16247731,0.18019356,0.1975025,0.21060954,0.21487011,0.21307315,0.2026725,0.18854082,0.17949991,0.18221658,0.19097465,0.18704063,0.16224732,0.12176169,0.0855245,0.06403742,0.058103886,0.05832917,0.058358196,0.056105662,0.053438958,0.05179058,0.051187053,0.051005196,0.05068465,0.050103445,0.04906343,0.048181098,0.047707897,0.04742098,0.045577317,0.04153685,0.036115367,0.03279605,0.034667104,0.044175863,0.0596415,0.07844018,0.09710684,0.11677102,0.13791369,0.1600783,0.1774189,0.18590729,0.18434982,0.17746659,0.17258854,0.17919381,0.20469694,0.24569957,0.28398514,0.29407004,0.26534334,0.21081315,0.15821302,0.12603238,0.11668741,0.12171873,0.13365132,0.14795373,0.16114147,0.17181827,0.17746806,0.17787401,0.1688445,0.15030886,0.12149938,0.08881667,0.057923075,0.036474407,0.026231451,0.026098704,0.03161572,0.039522484,0.0474783,0.053994168,0.057622403,0.057808068,0.054876406,0.049668368,0.042659815,0.0353594,0.031345215,0.036142264,0.05230413,0.07706768,0.10311454,0.12685467,0.1493362,0.1722753,0.18959562,0.19151835,0.17467862,0.14956172,0.13474347,0.1442803,0.17756514,0.2183301,0.24396397,0.2412464,0.21837981,0.199669,0.2069267,0.2392989,0.27881086,0.30702183,0.3226364,0.33028424,0.329123,0.30991665,0.27098247,0.22256325,0.17795287,0.14182748,0.11212724,0.08748809,0.070060484,0.06137741,0.059924986,0.062061142,0.064089425,0.06401079,0.062173396,0.062177945,0.06878384,0.0837939,0.10467094,0.12375345,0.13614339,0.13886087,0.1389683,0.14360516,0.16315737,0.19581126,0.23869342,0.2835112,0.3288972,0.36627558,0.38466227,0.37310982,0.33878586,0.30292094,0.28636813,0.2894993,0.29387298,0.27771762,0.23424576,0.17427844,0.115577675,0.07141254,0.044648338,0.032215416,0.02804423,0.027567374,0.027797883,0.028482346,0.030772338,0.035673674,0.042628516,0.04960144,0.054364193,0.05650085,0.057808075,0.06318003,0.077651836,0.10590268,0.14713295,0.19503027,0.23564994,0.25569978,0.24886215,0.22153991,0.18658487,0.1570525,0.1409715,0.14304478,0.16238557,0.19691168,0.23861913,0.2813193,0.30801407,0.30642596,0.26509833,0.1980025,0.12567337,0.07313864,0.045045998,0.035933565,0.033794045,0.033796303,0.03578234,0.041382577,0.04931728,0.056342777,0.05957614,0.05864087,0.054853898,0.05106193,0.05191681,0.06454073,0.09688566,0.14952755,0.21405768,0.26924035,0.2980271,0.2915665,0.26334316,0.23313405,0.21811186,0.21620786,0.21431284,0.20163782,0.18064238,0.1636638,0.16373543,0.18914352,0.24046095,0.30509287,0.3561766,0.36501333,0.32032907,0.23802751,0.14956374,0.08197586,0.045003567,0.033476826,0.03853811,0.056860074,0.08998176,0.13738841,0.190035,0.23314846,0.25571504,0.25510922,0.2392211,0.21665959,0.19963342,0.19652104,0.21523333,0.2489881,0.28262874,0.2971526,0.28761318,0.25855827,0.21816872,0.1709078,0.122917324,0.08318622,0.058212306,0.046669412,0.0426338,0.043813456,0.055995088,0.085677125,0.13133265,0.17705016,0.20453231,0.20522475,0.18919677,0.17472814,0.17664586,0.19945216,0.23602547,0.2736455,0.29454073,0.28845343,0.252134,0.19612257,0.13483888,0.08492953,0.05509079,0.045648042,0.048953902,0.05634826,0.0617374,0.064123355,0.06598269,0.0727151,0.086281635,0.10364467,0.11668972,0.1222193,0.12383771,0.1282982,0.13531347,0.13783516,0.12927987,0.11047754,0.087752156,0.067570485,0.053032506,0.04500316,0.042369172,0.043508828,0.04633072,0.050459504,0.055747177,0.061717108,0.06532966,0.06389941,0.05720754,0.051396575,0.055948447,0.07773784,0.114032425,0.15690558,0.20457987,0.2665391,0.3480893,0.4344108,0.49165043,0.49563885,0.44544283,0.36293173,0.2687028,0.18091144,0.11006841,0.06547185,0.04566363,0.04298858,0.04615203,0.048766807,0.04902449,0.04804157,0.04700093,0.04803476,0.055995226,0.07904032,0.12034699,0.17167705,0.21249555,0.22950067,0.22881557,0.23605292,0.26725098,0.31451157,0.34747157,0.34382823,0.3023359,0.2431072,0.18840104,0.15265995,0.14060922,0.15033461,0.17728873,0.21043813,0.23658533,0.2437067,0.23300426,0.21336049,0.19471198,0.17529374,0.15008275,0.11667973,0.08263958,0.05950405,0.05977313,0.093695104,0.15871869,0.23533309,0.2890834,0.30045924,0.27563167,0.24457715,0.22847147,0.23029673,0.23595029,0.23210447,0.21159671,0.1749339,0.12934694,0.08538053,0.053341582,0.03673419,0.03287409,0.03553168,0.040719673,0.048575535,0.061858524,0.08069739,0.10106981,0.11658379,0.12674646,0.13593018,0.15240122,0.1748129,0.19571881,0.20041038,0.18497588,0.15306692,0.11818973,0.088860065,0.0693883,0.05780598,0.05112639,0.04623493,0.042664353,0.043094765,0.05267323,0.071476676,0.094510294,0.11186092,0.12460905,0.1400335,0.1711027,0.21370669,0.2576903,0.28456575,0.2894688,0.26886824,0.22980678,0.17805187,0.126561,0.08433294,0.057453346,0.04369502,0.03832659,0.03800197,0.045245375,0.0660461,0.09993591,0.13664144,0.15983655,0.1656904,0.16301988,0.16849999,0.18853761,0.22124831,0.25516614,0.27517852,0.26407912,0.21681237,0.14670171,0.07972174,0.034958076,0.015651032,0.0136243105,0.020144641,0.030399451,0.041707385,0.051774707,0.058334928,0.060294796,0.05800586,0.052909467,0.04743141,0.04359335,0.042792473,0.044366833,0.046761233,0.047516227,0.045011908,0.03850934,0.030193133,0.024609605,0.027900169,0.04150961,0.062802635,0.08722379,0.11873134,0.16290088,0.21825005,0.26591405,0.28419936,0.26571193,0.2235554,0.18075843,0.15346962,0.1490903,0.16289796,0.18646562,0.20598911,0.21417803,0.20814528,0.19407141,0.17892204,0.1713054,0.17441489,0.18674405,0.19857448,0.20002614,0.18286793,0.14886247,0.10568639,0.06675126,0.041715305,0.034014735,0.039457455,0.051028296,0.062561154,0.070286155,0.074247986,0.079024315,0.093663216,0.12353706,0.16335793,0.19645095,0.20941484,0.20447616,0.1965607,0.19787486,0.20556448,0.20992513,0.20431983,0.19319142,0.18287122,0.17758454,0.1736678,0.16740644,0.15584877,0.14240469,0.13025582,0.12318903,0.122050904,0.12847964,0.13994664,0.15076673,0.15068924,0.13601348,0.10945877,0.08179236,0.060579304,0.049829986,0.04763117,0.050453264,0.053857863,0.0548452,0.052729096,0.048947707,0.045219366,0.042598724,0.040858567,0.03967071,0.03800563,0.03524244,0.030763164,0.025701763,0.02162379,0.020592012,0.023001231,0.028639369,0.035788644,0.042660344,0.04721798,0.04919669,0.049794648,0.05084661,0.052564044,0.053670872,0.052645117,0.049788505,0.04688765,0.046187494,0.048581656,0.053186934,0.057906326,0.060573537,0.060618237,0.059205443,0.058832753,0.060857713,0.064571366,0.06703536,0.06585544,0.06019787,0.051911015,0.043215394,0.036697924,0.033251874,0.033651333,0.03733431,0.044186946,0.05255099,0.060502995,0.06489381,0.064372264,0.05901353,0.051074523,0.042779963,0.036478214,0.034222603,0.036941808,0.043474257,0.050051708,0.053391073,0.051922455,0.046710193,0.039248787,0.0312502,0.024250047,0.019466544,0.017051034,0.016072333,0.015937602,0.017488634,0.022940062,0.03408953,0.04971661,0.06531844,0.07494674,0.07620324,0.07083601,0.063581094,0.057701766,0.05558114,0.05889098,0.068673305,0.08220468,0.093212985,0.0953092,0.08761462,0.07529423,0.067571335,0.07125339,0.08765212,0.10979963,0.12683463,0.13042405,0.12157457,0.11054361,0.10904304,0.12155216,0.14287563,0.16525732,0.18760689,0.21399693,0.24622925,0.2763478,0.2953845,0.3022908,0.30498764,0.3092079,0.3109057,0.30262193,0.2824458,0.25790635,0.23705651,0.22314562,0.21104191,0.1964991,0.17673694,0.15650447,0.13964711,0.13026099,0.12795144,0.13167766,0.14324836,0.16641107,0.20462446,0.24952216,0.28548816,0.29577565,0.27872083,0.24463345,0.20919938,0.18147288,0.16304645,0.15150946,0.14301421,0.13649017,0.13067229,0.12664883,0.122348554,0.11673945,0.10895312,0.102896065,0.103117265,0.11186869,0.12635122,0.14007787,0.14828502,0.14862315,0.14402853,0.13747905,0.13352303,0.13383172,0.1407792,0.15281814,0.16766874,0.17830001,0.1808139,0.17261927,0.15845717,0.14297107,0.13269712,0.1326666,0.14978285,0.1882525,0.24239326,0.2964736,0.3281519,0.32829928,0.30001,0.26585042,0.24296385,0.24193458,0.24969752,0.25016588,0.23180245,0.20295288,0.18019478,0.17491783,0.18579714,0.2001726,0.20710059,0.19929998,0.17901264,0.15170208,0.12598334,0.10734224,0.097053684,0.093724184,0.0966683,0.110211365,0.13617499,0.17111538,0.19948645,0.20845358,0.1913699,0.15852804,0.122825466,0.09739548,0.08512017,0.084360816,0.08973213,0.09739933,0.104867764,0.1108427,0.11397562,0.11449491,0.11249927,0.10917335,0.104389824,0.10147146,0.102932304,0.11090827,0.1216205,0.13145292,0.1361654,0.134889,0.12837385,0.12079974,0.11883923,0.1275897,0.15098353,0.18383358,0.21685845,0.23568285,0.24035905,0.23813415,0.23835559,0.23333198,0.21494102,0.18774907,0.17356241,0.18409027,0.20559122,0.20772882,0.17494895,0.11832597,0.065024614,0.03351097,0.025314229,0.029575968,0.03499538,0.03654192,0.035653174,0.03672838,0.04148181,0.04803132,0.052616704,0.05341501,0.050739806,0.045718912,0.038876917,0.030532472,0.021769637,0.014285349,0.010261164,0.011949752,0.022644559,0.044402678,0.07512768,0.104973875,0.12236179,0.121514075,0.109220184,0.0963319,0.090191185,0.08903491,0.08928012,0.08745962,0.08161068,0.06918613,0.050788928,0.031160912,0.017033357,0.012519254,0.017407529,0.028431043,0.04088101,0.050461944,0.054421905,0.05242562,0.046240043,0.03902507,0.034420673,0.03456492,0.038990945,0.04460375,0.049080607,0.052495543,0.05873871,0.070453875,0.088838644,0.109949976,0.13109237,0.14763045,0.15815316,0.16125572,0.1613602,0.1631007,0.16691937,0.16469324,0.14687733,0.11266187,0.07198737,0.038084522,0.01830673,0.012138496,0.015330945,0.023581928,0.03408659,0.044459477,0.052594855,0.05660206,0.055717736,0.05100966,0.04546805,0.042439654,0.04378168,0.048452675,0.053853225,0.057040557,0.05669931,0.052917365,0.04719685,0.04117549,0.03581446,0.030936753,0.026029743,0.021576343,0.019630501,0.022154627,0.02925091,0.03785741,0.044449523,0.046721194,0.0456793,0.0433941,0.041837495,0.04103828,0.039584238,0.036147714,0.030662015,0.025566915,0.02341196,0.025645206,0.030422173,0.03493978,0.036979284,0.03714245,0.037277702,0.03878175,0.040838316,0.041261032,0.038316373,0.032020535,0.024356326,0.01799229,0.015426313,0.017340736,0.022612609,0.028605863,0.03339421,0.03636331,0.037918303,0.03825505,0.03714401,0.034948826,0.03238583,0.030300213,0.028506234,0.026702637,0.024705103,0.022769688,0.020837195,0.01887439,0.017357925,0.017437844,0.019466178,0.022185715,0.023430975,0.022601575,0.021380559,0.021839788,0.024113521,0.026274033,0.02738033,0.02819884,0.030379452,0.03319863,0.034619365,0.032796677,0.02847468,0.023542074,0.020001724,0.018793436,0.020490378,0.024337456,0.028379688,0.030173285,0.029944705,0.031025646,0.036122803,0.044229776,0.05092835,0.05546321,0.06071199,0.069657706,0.08045358,0.0913608,0.10802748,0.13675694,0.17339654,0.1962143,0.18606646,0.14268316,0.08850937,0.04746752,0.02979421,0.03016811,0.03785597,0.045042396,0.048304707,0.048359334,0.04709876,0.046747133,0.047059555,0.04686409,0.04427512,0.039302964,0.032799553,0.026381226,0.020763265,0.016076334,0.013036159,0.013646749,0.021119436,0.036093086,0.05634545,0.07702445,0.09378633,0.10322899,0.10246674,0.092758834,0.079040416,0.07325447,0.0860958,0.12431854,0.17652507,0.21814072,0.22076279,0.17998499,0.115484856,0.05935621,0.027838962,0.019240012,0.020550163,0.02285719,0.023698837,0.02522708,0.029120026,0.03450307,0.038899273,0.04047445,0.039515678,0.037842657,0.037421748,0.039226864,0.0425522,0.04554161,0.04626001,0.044472203,0.041428965,0.039052192,0.037767153,0.036787223,0.034854934,0.032500505,0.031495914,0.033812013,0.039227873,0.045916934,0.051098216,0.053087443,0.05140355,0.047209,0.042249616,0.037593585,0.03301549,0.027464839,0.02107924,0.015045639,0.0116943335,0.012756541,0.019737996,0.03132281,0.044580016,0.054855388,0.061516304,0.06605775,0.0722163,0.080794066,0.09341228,0.11227924,0.13924359,0.16817819,0.18512374,0.17659624,0.1429538,0.09835074,0.06136359,0.040381446,0.03370854,0.033354376,0.033813804,0.032105476,0.029059196,0.026909947,0.028678408,0.03530756,0.044912625,0.053788006,0.05926272,0.06125098,0.061362255,0.060710143,0.059241522,0.056527752,0.052729074,0.048260447,0.04357015,0.039710104,0.03821248,0.03977719,0.042619,0.0440949,0.04300316,0.04074702,0.03867732,0.03739733,0.037881855,0.0440293,0.059052538,0.081357084,0.10303882,0.11775748,0.12576038,0.13339387,0.14249305,0.14838332,0.14231831,0.12348366,0.097625576,0.0744881,0.058651578,0.050527558,0.04779752,0.048048194,0.0499731,0.052072097,0.053842094,0.05395646,0.05229728,0.049076486,0.04585496,0.043484736,0.04194312,0.040305626,0.038422097,0.03745991,0.03898706,0.043171722,0.048085332,0.051318634,0.05199909,0.05151549,0.05156138,0.052273452,0.052115325,0.049892455,0.045937583,0.04120974,0.035841133,0.029670684,0.024118556,0.022657074,0.027700871,0.03733702,0.04644872,0.05220754,0.058441628,0.07040331,0.08791587,0.102039985,0.10495219,0.096268006,0.084026545,0.07525331,0.07276153,0.077371955,0.093263865,0.12501317,0.16725594,0.200786,0.20268144,0.16701733,0.11005157,0.058512416,0.028578335,0.020325555,0.023817716,0.029790932,0.034198966,0.03725417,0.040783312,0.04455254,0.046529826,0.0440844,0.037473846,0.029477194,0.024573436,0.025178092,0.03086334,0.03746051,0.04103593,0.039726406,0.036052436,0.03333022,0.033671957,0.03549978,0.03630693,0.034151856,0.02954729,0.023685098,0.018876001,0.018337497,0.027408564,0.048573334,0.0777001,0.10182694,0.109002024,0.09634256,0.073633105,0.053612027,0.045907024,0.054720674,0.08193513,0.121235125,0.1572023,0.17046471,0.15675831,0.12822591,0.10372623,0.08881641,0.07836836,0.06720617,0.061816245,0.073708355,0.10709689,0.14897868,0.1765334,0.17214353,0.1389571,0.09530953,0.061379477,0.043892283,0.03905767,0.03911176,0.03956629,0.038721398,0.0370013,0.036165852,0.03778557,0.041927885,0.046064336,0.04748718,0.04454681,0.038132537,0.030406967,0.024466865,0.022514233,0.025140481,0.03015463,0.03444265,0.03532223,0.032866303,0.028659187,0.025176944,0.023567274,0.023830423,0.024606267,0.024386326,0.022194572,0.018505167,0.015159248,0.0146489665,0.018081116,0.024371274,0.030029545,0.03215846,0.029558497,0.024002938,0.017728688,0.012793388,0.00959904,0.007855664,0.006623127,0.005312526,0.0037554784,0.0027433622,0.0036535522,0.008415803,0.017363114,0.028637284,0.037492026,0.04059205,0.037661076,0.032569926,0.029023563,0.029019192,0.03255224,0.039179053,0.04770979,0.056132782,0.06224199,0.06601141,0.06714195,0.06523865,0.057343338,0.044109285,0.028293813,0.01559119,0.0082871225,0.0061689657,0.006961482,0.009052371,0.012081546,0.016799208,0.02535819,0.03899988,0.056177344,0.07134137,0.07848761,0.07574896,0.06715668,0.059526313,0.05613299,0.05470467,0.05059192,0.043411274,0.0385084,0.0421845,0.056252193,0.0776835,0.10121035,0.12205086,0.13390796,0.13483854,0.12696402,0.12056699,0.12077206,0.12797885,0.13452329,0.13761942,0.13581367,0.13125353,0.12226606,0.11096367,0.09959494,0.093547195,0.09152311,0.09052295,0.08509139,0.07620383,0.0673679,0.063735396,0.067098334,0.078083724,0.09682303,0.12198081,0.14682226,0.16024731,0.1532184,0.1277315,0.09531069,0.07013348,0.058439136,0.059541345,0.067901365,0.078371614,0.0866025,0.09125944,0.09624434,0.10638248,0.12307642,0.13798256,0.14087331,0.12656446,0.10127813,0.07605956,0.059596118,0.05423611,0.05827111,0.0686482,0.08332922,0.10269115,0.1312999,0.17141412,0.21654446,0.24853258,0.25133237,0.22345196,0.17974,0.13905348,0.11204448,0.10175285,0.103602685,0.11080396,0.11204603,0.10223156,0.083021,0.064615875,0.05506286,0.0568507,0.06616048,0.07701648,0.08512274,0.08876892,0.08822712,0.08510824,0.080378346,0.07623918,0.07213693,0.068132065,0.062060755,0.05611524,0.053710386,0.061010677,0.07961853,0.10509836,0.1264738,0.132789,0.12108916,0.09765195,0.07453365,0.060532887,0.058964968,0.067112066,0.08003813,0.09219059,0.09986303,0.102360316,0.10211111,0.10309782,0.10750684,0.1148468,0.1212011,0.12368393,0.12166858,0.119701624,0.122849815,0.13334762,0.14704716,0.15806891,0.16382468,0.16763265,0.17197604,0.17596275,0.17386192,0.16449909,0.1501062,0.13732778,0.12942605,0.12817805,0.13313712,0.14520039,0.16522862,0.19352703,0.22671203,0.2585337,0.28053343,0.28626022,0.27237305,0.24150932,0.20160563,0.16356362,0.13609754,0.121837825,0.11782444,0.11828373,0.118414134,0.1174035,0.116687514,0.119671345,0.12425462,0.12778412,0.1245282,0.11738336,0.11023965,0.109725185,0.114372514,0.12170926,0.1297826,0.14114219,0.15845186,0.17899819,0.19722484,0.20446129,0.1988662,0.18030147,0.15561016,0.12795676,0.10253336,0.08070767,0.06591079,0.05875544,0.05887248,0.063385546,0.0699813,0.07768443,0.087420724,0.09815017,0.10719668,0.10887092,0.10179639,0.08731103,0.07225556,0.06196278,0.061319083,0.07191291,0.092596136,0.11898577,0.14446811,0.16515523,0.18102892,0.19518942,0.20935671,0.22055958,0.22389443,0.21455725,0.1939892,0.1683706,0.14769234,0.13971281,0.14496346,0.1573952,0.16748782,0.17317832,0.17733358,0.18601446,0.19693737,0.20482327,0.20319562,0.19354673,0.18110764,0.17358212,0.1722569,0.17291372,0.16681845,0.15153907,0.12975444,0.108957894,0.09169826,0.07976759,0.07228017,0.07058569,0.07359258,0.081068926,0.09156251,0.1028041,0.11004133,0.108813226,0.10049891,0.09082901,0.087562315,0.09310479,0.1069499,0.12459061,0.14201517,0.15636556,0.17069294,0.19032781,0.21756649,0.2431602,0.25350803,0.2378819,0.20189197,0.1592323,0.12708472,0.11128875,0.11036081,0.115246326,0.11898947,0.11703214,0.11124883,0.10664302,0.108932406,0.119106196,0.13334428,0.14548974,0.1515211,0.15007232,0.1429763,0.13305189,0.12513673,0.12185872,0.12458483,0.1302578,0.13668896,0.14037527,0.14227955,0.14353609,0.14929259,0.15999795,0.1737863,0.18365176,0.1862007,0.18099415,0.1707867,0.15750097,0.14294429,0.13000806,0.12137515,0.11790693,0.11681893,0.11465747,0.109301485,0.102539055,0.09790442,0.09816748,0.10357181,0.112363346,0.12430068,0.13779658,0.15164602,0.16020298,0.16189025,0.15620743,0.14865716,0.14201312,0.1377229,0.13389783,0.12915109,0.12415544,0.119733304,0.11715764,0.11625472,0.118700586,0.12523453,0.13431196,0.14003973,0.13773586,0.1283727,0.11993182,0.119029015,0.12698056,0.13616587,0.13977624,0.13283412,0.11883741,0.10204493,0.08862231,0.08035829,0.0779095,0.07879794,0.08068576,0.08127301,0.08017554,0.0785264,0.07792809,0.08025435,0.0852879,0.09249204,0.099767245,0.10815216,0.120046414,0.1373354,0.15711524,0.17172109,0.17780316,0.17647131,0.17590207,0.17740233,0.18042754,0.17840172,0.17224513,0.16207011,0.15275885,0.14485751,0.14521174,0.15805034,0.18624978,0.21768071,0.23608606,0.22763132,0.19611996,0.15661418,0.1254468,0.108505964,0.10018856,0.094032854,0.08781403,0.08906314,0.10406664,0.13766338,0.18235327,0.22792582,0.25751305,0.26647893,0.25524044,0.23609833,0.21319795,0.19001679,0.16526672,0.14528202,0.1340334,0.1333191,0.13787253,0.14446612,0.15055661,0.15431005,0.15189314,0.14180519,0.1283072,0.11738353,0.11202601,0.10872892,0.103446186,0.09504015,0.08725265,0.08473561,0.08997368,0.101691455,0.11563494,0.12740427,0.13309132,0.1321187,0.12668051,0.12246409,0.123223074,0.12820251,0.13217054,0.13017309,0.12171218,0.10906663,0.095681705,0.08306036,0.072943024,0.06711405,0.06831056,0.078798376,0.10002446,0.13104756,0.16670974,0.19671106,0.21014051,0.20243336,0.18007575,0.15581436,0.13850467,0.12842488,0.11938149,0.10882655,0.09720983,0.08825112,0.0823177,0.08151967,0.087578796,0.10186663,0.11936071,0.13235271,0.13500519,0.12915467,0.12145338,0.1190345,0.12506698,0.13722105,0.15104753,0.16107231,0.16688918,0.169859,0.17467408,0.18235296,0.19074112,0.19320159,0.18458225,0.16547203,0.14225261,0.12262448,0.11065807,0.10692967,0.10907071,0.11309115,0.11496684,0.11428812,0.11421919,0.117137544,0.12084857,0.121180214,0.11615787,0.10770219,0.098743826,0.0933977,0.09446608,0.1022698,0.11112044,0.115508534,0.11407357,0.11168637,0.111631,0.11370865,0.11517351,0.11533312,0.11371497,0.1087975,0.0997685,0.089684844,0.08545468,0.08983787,0.099969,0.107822396,0.11055585,0.10832602,0.10392781,0.095933795,0.08412898,0.07000039,0.058584627,0.05332464,0.05520155,0.062303644,0.071725406,0.08051914,0.08631011,0.08782199,0.08479938,0.07871195,0.072006226,0.06739459,0.06667464,0.07064716,0.079625435,0.09338197,0.1123602,0.13590275,0.16035223,0.1769998,0.1772784,0.16043192,0.13631383,0.12014953,0.1215139,0.13929808,0.16078188,0.17199492,0.16541004,0.14681317,0.12660342,0.1127508,0.10434898,0.09826234,0.09214572,0.08661648,0.081264846,0.07557768,0.06974099,0.06627384,0.067277186,0.07298875,0.08085033,0.08824158,0.09324487,0.09643871,0.09863245,0.10159413,0.10612153,0.114300154,0.12703884,0.14391586,0.15987642,0.16871677,0.16673613,0.1579613,0.1508853,0.15202981,0.16049977,0.17011751,0.17542116,0.17558385,0.17491962,0.1803127,0.1968268,0.22243337,0.24697542,0.25792077,0.24876791,0.22274522,0.18917614,0.15754426,0.1333659,0.11827964,0.11227435,0.11616067,0.13168274,0.1579303,0.18894918,0.21565932,0.23398463,0.24624126,0.25852504,0.2683754,0.26939586,0.2534695,0.2260788,0.19691801,0.17706384,0.16570212,0.15888119,0.15353596,0.15296824,0.15931682,0.17017321,0.17883313,0.18023074,0.17219557,0.15705627,0.14038616,0.13024174,0.13084263,0.14063402,0.15344311,0.16427995,0.16914272,0.16610263,0.15568347,0.14386691,0.13720573,0.13715653,0.13894436,0.13918132,0.14301552,0.15948988,0.19093002,0.22522004,0.24414028,0.23743002,0.21154954,0.1837513,0.16844344,0.16900313,0.17940801,0.19108649,0.1981579,0.19679736,0.18693703,0.17002803,0.15130097,0.13574533,0.12912665,0.13376038,0.14694937,0.16048034,0.16564624,0.160607,0.14972526,0.14010914,0.13586694,0.14011228,0.15463714,0.17698656,0.19786018,0.20546724,0.19745545,0.18323068,0.17705037,0.1828835,0.19329987,0.19835544,0.19796659,0.19949381,0.2065121,0.21212028,0.20636553,0.1886399,0.16822262,0.15575059,0.15297443,0.15654922,0.16251062,0.17059393,0.17883246,0.18242377,0.17598985,0.15966494,0.14129554,0.13157374,0.13691752,0.15435536,0.1750813,0.19022761,0.19618964,0.19269548,0.18296681,0.17097701,0.16237527,0.15832017,0.15727794,0.15535593,0.15316452,0.15294784,0.15705955,0.16386132,0.16979899,0.17137504,0.16822954,0.16351001,0.16211323,0.16718669,0.17850769,0.19551034,0.21669205,0.24217741,0.26580787,0.28460494,0.29310894,0.2955145,0.29077855,0.28152096,0.26382962,0.24046575,0.21298791,0.1877042,0.16745734,0.1560124,0.15311725,0.15778285,0.16510814,0.17176257,0.17502373,0.17549066,0.17258023,0.16722465,0.16149776,0.16042362,0.16683769,0.17897059,0.19128168,0.19811274,0.19753337,0.18856858,0.17356746,0.15566595,0.14393663,0.14395176,0.15699585,0.1735542,0.18458064,0.18393864,0.1731575,0.15583606,0.13654841,0.119578354,0.108863644,0.10679691,0.112388335,0.12059411,0.12530279,0.12237678,0.11359293,0.1029551,0.09525132,0.091985695,0.09433222,0.10130287,0.11069023,0.117212586,0.11695099,0.1093761,0.09921507,0.09184363,0.09052255,0.093524724,0.09688181,0.09657529,0.092163235,0.0856472,0.08041196,0.07850411,0.08174438,0.0901824,0.101952344,0.11148915,0.114626445,0.11143544,0.10832161,0.11067157,0.11933502,0.12786435,0.12979761,0.12182889,0.10793105,0.09505024,0.090477586,0.09713922,0.111895025,0.1276158,0.13808899,0.14507343,0.1545121,0.16909082,0.18289971,0.18927021,0.19147177,0.19784492,0.21328099,0.23010981,0.24178852,0.24459505,0.24058457,0.227112,0.20464419,0.17803192,0.15675865,0.14474136,0.14093481,0.14441125,0.15833335,0.18300723,0.21185689,0.2318192,0.2363046,0.22705644,0.216586,0.21211658,0.21458115,0.21348709,0.20246018,0.18080543,0.15768294,0.14252138,0.1400515,0.14632356,0.15061267,0.14571552,0.13351168,0.12489658,0.1283325,0.14274883,0.15967284,0.1697632,0.16984332,0.16075248,0.14563374,0.12627108,0.10469574,0.08451495,0.071186595,0.06926427,0.079219155,0.09549329,0.11013549,0.11646535,0.1147984,0.1089352,0.10356728,0.09883312,0.09366716,0.08755376,0.0825702,0.08053102,0.08175113,0.085241556,0.09051472,0.09770745,0.106064826,0.11298654,0.11542791,0.1134932,0.11057195,0.11165568,0.118572,0.1312622,0.14656387,0.16117565,0.17010355,0.17138594,0.16671257,0.15973653,0.15331888,0.1470002,0.14361332,0.14503767,0.15372753,0.1638319,0.17042033,0.17074646,0.17112269,0.17842405,0.19337378,0.20751409,0.2085682,0.19412309,0.17256635,0.15811591,0.15454972,0.15494628,0.14862154,0.133894,0.117492296,0.10760794,0.106268495,0.10897431,0.109478794,0.10412682,0.09572196,0.09061712,0.09566516,0.11053878,0.12878956,0.1401935,0.14099662,0.1350707,0.13244323,0.13762826,0.14781046,0.15397467,0.15299843,0.14731061,0.1425209,0.13788281,0.13026978,0.118716605,0.10879532,0.10599,0.11044071,0.115582116,0.11626295,0.11264664,0.111625224,0.11677531,0.12572591,0.12979113,0.12560676,0.118208654,0.117595516,0.12685136,0.13805692,0.1399051,0.13022774,0.11966743,0.121964775,0.14012845,0.1645246,0.1824707,0.19038898,0.19371484,0.19738285,0.20129503,0.20175792,0.20108591,0.20069619,0.20006138,0.19070344,0.17144625,0.14759757,0.13045825,0.12330732,0.1245594,0.13188684,0.14708841,0.16963911,0.19244851,0.20487036,0.20359437,0.1957861,0.1955697,0.2098286,0.23727228,0.2651998,0.28173354,0.2763069,0.2517598,0.22075959,0.20011008,0.19735324,0.2047637,0.21145566,0.2084143,0.1989275,0.18740855,0.18208815,0.18461718,0.19447426,0.20595674,0.21526195,0.21987474,0.220448,0.22000664,0.22475173,0.23741703,0.25387397,0.26327005,0.2602493,0.24776185,0.23330705,0.22033374,0.20677066,0.19404684,0.18601649,0.19028884,0.2055332,0.22763567,0.24748604,0.26073787,0.2625315,0.2515118,0.22838055,0.19946517,0.17272937,0.15368067,0.14303727,0.13890786,0.13987839,0.14508446,0.15232368,0.15813003,0.15980782,0.1575045,0.15333618,0.14949407,0.14748019,0.14714257,0.14710762,0.14515795,0.1409456,0.13649711,0.13406612,0.13562846,0.14236246,0.15772815,0.18096776,0.2070361,0.22449128,0.22815889,0.21902597,0.20540708,0.19114448,0.1774646,0.16326337,0.15177973,0.14804108,0.15536885,0.17236495,0.19250852,0.21035475,0.22122562,0.22538213,0.22191226,0.21355923,0.20293461,0.19760977,0.20213614,0.2177992,0.23629336,0.24774237,0.24458905,0.22998105,0.2130567,0.20285791,0.20160668,0.20411654,0.20484145,0.19945182,0.18904914,0.17480285,0.160485,0.14855583,0.141751,0.13972588,0.14129704,0.14614125,0.15721127,0.17788641,0.20729752,0.23710413,0.25620368,0.2584808,0.24858809,0.23760869,0.2346588,0.24217384,0.25693363,0.27467108,0.28844398,0.2906378,0.27447549,0.24080926,0.19799398,0.15966405,0.13957153,0.14486335,0.17084695,0.20086862,0.21842049,0.21685036,0.2027874,0.18561397,0.17240386,0.16447793,0.16337556,0.17164187,0.19090378,0.21468055,0.22814268,0.22020711,0.19712271,0.17827164,0.1788779,0.19320786,0.20697127,0.20844223,0.20341492,0.1976533,0.1975448,0.1965413,0.1921376,0.17752577,0.15759431,0.1379247,0.13202554,0.14189672,0.16177501,0.17744415,0.18424189,0.18553998,0.18816751,0.19199388,0.19121481,0.1804036,0.1575998,0.12807904,0.09853204,0.07643319,0.062172517,0.054718573,0.051314462,0.051396746,0.05211049,0.050625,0.04619695,0.041490212,0.039123446,0.03897773,0.040397827,0.045110043,0.05513698,0.06818819,0.07583136,0.07158396,0.056693267,0.041686963,0.036223684,0.043720666,0.05768928,0.06902325,0.069883175,0.06039432,0.04547556,0.032109234,0.022918053,0.016991312,0.012036531,0.0075613526,0.0045557246,0.0044653346,0.007996877,0.01533516,0.024479872,0.032306388,0.03462354,0.030723631,0.022674697,0.015161648,0.010797658,0.0101288045,0.011704229,0.0143796615,0.017524654,0.02103726,0.024978517,0.029513465,0.03486003,0.041171905,0.04845659,0.05655079,0.06490293,0.07223153,0.07618496,0.07398668,0.06413477,0.04810944,0.030269885,0.015369224,0.005983098,0.0016123247,0.00024440823,7.3592643E-10,7.2892714E-10,7.458014E-10,7.601275E-10,7.588508E-10,7.6829765E-10,8.123451E-10,8.917256E-10,9.538358E-10,9.636493E-10,9.1637414E-10,8.5831786E-10,1.3145074E-06,8.213586E-06,0.00045027895,0.0031838343,0.011671744,0.028874025,0.05223121,0.07315277,0.08160958,0.07629712,0.06448544,0.056615606,0.055684265,0.059264135,0.061920106,0.061298307,0.055547763,0.046776008,0.039697763,0.04318973,0.06259412,0.09687725,0.13577445,0.16518873,0.17388944,0.15967113,0.13138962,0.10162059,0.08058798,0.069509566,0.065183036,0.06251479,0.060590204,0.06123786,0.06867543,0.08351346,0.102279596,0.11786822,0.12576501,0.12491646,0.117144495,0.10531172,0.09279468,0.0834619,0.07804844,0.075154364,0.072177775,0.070157915,0.072416864,0.083204485,0.103200495,0.12807465,0.14889367,0.15619425,0.14648901,0.12356281,0.09827151,0.08036687,0.07672563,0.08502055,0.09884294,0.10931484,0.11574032,0.122026205,0.13279957,0.14358516,0.14620864,0.13602366,0.1172009,0.098742284,0.0878909,0.088829644,0.10052661,0.11886569,0.13566355,0.14396942]