math-test-functions 0.5.2

A collection of non linear functions for testing optimisation algorithms
Documentation 
1

{"data":[{"type":"contour","x":[-15.0,-14.696969696969697,-14.393939393939394,-14.090909090909092,-13.787878787878787,-13.484848484848484,-13.181818181818182,-12.878787878787879,-12.575757575757576,-12.272727272727273,-11.969696969696969,-11.666666666666666,-11.363636363636363,-11.06060606060606,-10.757575757575758,-10.454545454545453,-10.151515151515152,-9.848484848484848,-9.545454545454547,-9.242424242424242,-8.93939393939394,-8.636363636363637,-8.333333333333332,-8.030303030303031,-7.7272727272727275,-7.424242424242424,-7.121212121212121,-6.818181818181818,-6.515151515151516,-6.212121212121213,-5.909090909090908,-5.6060606060606055,-5.303030303030303,-5.0,-4.696969696969697,-4.3939393939393945,-4.090909090909092,-3.787878787878787,-3.4848484848484844,-3.1818181818181817,-2.878787878787879,-2.575757575757576,-2.2727272727272734,-1.9696969696969688,-1.666666666666666,-1.3636363636363633,-1.0606060606060606,-0.7575757575757578,-0.45454545454545503,-0.15151515151515227,0.15151515151515227,0.45454545454545503,0.7575757575757578,1.0606060606060623,1.3636363636363633,1.6666666666666679,1.9696969696969688,2.2727272727272734,2.5757575757575744,2.878787878787879,3.1818181818181834,3.4848484848484844,3.787878787878789,4.09090909090909,4.3939393939393945,4.6969696969696955,5.0,5.3030303030303045,5.6060606060606055,5.90909090909091,6.212121212121211,6.515151515151516,6.818181818181817,7.121212121212121,7.424242424242426,7.727272727272727,8.030303030303031,8.333333333333332,8.636363636363637,8.939393939393938,9.242424242424242,9.545454545454547,9.848484848484848,10.151515151515152,10.454545454545453,10.757575757575758,11.060606060606062,11.363636363636363,11.666666666666668,11.969696969696969,12.272727272727273,12.575757575757574,12.878787878787879,13.181818181818183,13.484848484848484,13.787878787878789,14.09090909090909,14.393939393939394,14.696969696969695,15.0],"y":[-15.0,-14.696969696969697,-14.393939393939394,-14.090909090909092,-13.787878787878787,-13.484848484848484,-13.181818181818182,-12.878787878787879,-12.575757575757576,-12.272727272727273,-11.969696969696969,-11.666666666666666,-11.363636363636363,-11.06060606060606,-10.757575757575758,-10.454545454545453,-10.151515151515152,-9.848484848484848,-9.545454545454547,-9.242424242424242,-8.93939393939394,-8.636363636363637,-8.333333333333332,-8.030303030303031,-7.7272727272727275,-7.424242424242424,-7.121212121212121,-6.818181818181818,-6.515151515151516,-6.212121212121213,-5.909090909090908,-5.6060606060606055,-5.303030303030303,-5.0,-4.696969696969697,-4.3939393939393945,-4.090909090909092,-3.787878787878787,-3.4848484848484844,-3.1818181818181817,-2.878787878787879,-2.575757575757576,-2.2727272727272734,-1.9696969696969688,-1.666666666666666,-1.3636363636363633,-1.0606060606060606,-0.7575757575757578,-0.45454545454545503,-0.15151515151515227,0.15151515151515227,0.45454545454545503,0.7575757575757578,1.0606060606060623,1.3636363636363633,1.6666666666666679,1.9696969696969688,2.2727272727272734,2.5757575757575744,2.878787878787879,3.1818181818181834,3.4848484848484844,3.787878787878789,4.09090909090909,4.3939393939393945,4.6969696969696955,5.0,5.3030303030303045,5.6060606060606055,5.90909090909091,6.212121212121211,6.515151515151516,6.818181818181817,7.121212121212121,7.424242424242426,7.727272727272727,8.030303030303031,8.333333333333332,8.636363636363637,8.939393939393938,9.242424242424242,9.545454545454547,9.848484848484848,10.151515151515152,10.454545454545453,10.757575757575758,11.060606060606062,11.363636363636363,11.666666666666668,11.969696969696969,12.272727272727273,12.575757575757574,12.878787878787879,13.181818181818183,13.484848484848484,13.787878787878789,14.09090909090909,14.393939393939394,14.696969696969695,15.0],"z":[[675.5999999999999,666.0130703815612,657.7378673362497,648.6572607880809,640.5302259731384,632.0984442078384,624.0176361270303,616.2878017307141,608.2532203840404,601.1722107705931,593.2857976542884,586.711111111111,579.1443835128744,572.8893824877648,565.8289779597981,559.7221451650576,553.3105654199596,547.2499593593535,541.5403269832394,535.5259476567677,530.4651400635224,524.5989289674199,520.0444444444444,514.4979188664097,510.2631198615023,505.2229173537375,501.136286579199,496.7449088543031,492.7045048138991,489.01507445798694,485.0208971517173,481.9802915786739,478.1342825027733,475.6,472.07367644216725,469.8590794574619,466.8390789698991,464.77265021556263,462.40147451086875,460.3812724906668,458.71204415495663,456.738068868889,455.7176653160477,453.89185826034907,453.3777777777778,451.87165624014705,451.6772612756437,450.6774628082829,450.63123607414855,450.2802623896567,450.2802623896567,450.63123607414855,450.67746280828294,451.6772612756437,451.87165624014705,453.3777777777778,453.89185826034907,455.71766531604777,456.73806886888894,458.71204415495663,460.3812724906668,462.4014745108688,464.7726502155627,466.8390789698991,469.85907945746186,472.07367644216725,475.6,478.1342825027733,481.980291578674,485.02089715171724,489.0150744579869,492.70450481389906,496.74490885430316,501.136286579199,505.2229173537375,510.2631198615022,514.4979188664097,520.0444444444444,524.5989289674199,530.4651400635223,535.5259476567677,541.5403269832394,547.2499593593535,553.3105654199596,559.7221451650576,565.8289779597981,572.8893824877648,579.1443835128744,586.711111111111,593.2857976542884,601.1722107705931,608.2532203840404,616.2878017307141,624.0176361270304,632.0984442078384,640.5302259731384,648.6572607880809,657.7378673362497,666.0130703815612,675.5999999999999],[657.0660206188682,648.5812652008415,639.1886862469195,631.1501341647344,622.1407873819325,614.3600954180431,605.9121671258035,598.2357414547574,590.4657897262623,582.8235508690397,575.7494991665352,568.1771317299792,561.7125783321545,554.3402013984346,548.3218513364515,541.3327065738516,535.5722166301643,529.1444903581267,523.4882667072827,517.7385169989896,512.116480161969,507.06263047966667,501.5104650633127,497.06611368569,491.7139387721721,487.715790730391,482.7468479879931,479.00656006450777,474.59903581267224,470.9630141820303,467.2334664939391,463.63163167712054,460.5979840150202,457.0660206188683,454.6418712614476,451.3098983681317,449.3319523465526,446.3832116243567,444.6631257210734,442.2758034894399,440.65998387900004,438.9506382111108,437.3690054144943,436.35555977259594,434.8437983966461,434.4398510594274,433.1280801863135,433.17033618493645,432.2417974829426,432.5419135998613,432.17479338842975,432.57917579819195,432.89003215050474,433.3286013740903,434.3353577523939,434.8437983966461,436.4600530796294,437.1684842267176,439.2309422455425,440.3226055637507,442.64292370087145,444.29600550964193,446.7205899396061,449.0516483121209,451.5104195559084,454.5373779544141,457.0660206188683,460.70247732205365,463.43111048934384,467.5137705283708,470.62563586678095,474.9661560241037,478.6394398530763,483.0842263032424,487.4354866959593,491.91445995994883,496.96162037865656,501.5104650633127,507.16712378670013,511.91595897419234,518.0188210334212,523.1508883920335,529.5116105695582,535.2050964187329,541.6700848891008,548.0415473020198,554.5407225862115,561.6080850251211,568.1771317299794,575.8539924735686,582.6230296812629,590.7460937606938,597.8983631395082,606.279287337235,613.9929752066116,622.4781656971817,630.8698301303026,639.3892074346962,648.476771893808,657.0660206188682],[639.7417102334535,630.5219008264463,622.0735940406325,612.9580509264688,605.0711626312172,596.2134796353492,588.7098235112179,580.2983438511915,572.9946782298962,565.1926968745494,557.9589026739206,550.8528213445646,543.6532139577594,537.2251091921477,530.1297680981859,524.2630818231364,517.4256008474705,511.94214674354123,505.55086910371676,500.2674055026235,494.4856261674786,489.272033987052,484.18615467789795,479.0067493112948,474.59884656588514,469.5237074921253,465.677223237278,460.85994428181397,457.39669219808667,453.0256165784642,449.76235499757297,446.0007776826301,442.8073875224055,439.7417102334536,436.5825068870524,434.1948061618447,431.1398691082869,429.3135868736416,426.5165099383796,425.07345987485434,422.72258627543397,421.4795267147447,419.73815142000393,418.56496327998127,417.5194880112314,416.38048668503217,416.01298798002654,414.97825294667075,415.1721727322275,414.3952978171675,414.97244977384423,414.6417781946259,415.4189206541386,415.69774737959983,416.54476125977925,417.5194880112314,418.4006887052342,420.05339202043064,421.0388590072768,423.2529808130356,424.49630791817765,427.09366189505636,428.78319233604003,431.5805368157548,433.87956556141796,436.74678146179946,439.7417102334536,442.64311294765844,446.31601828305685,449.3216872901051,453.55601111606586,456.8195402414099,461.4370962384907,465.14682869967635,469.9643751995932,474.2836059654584,479.1710238860419,484.186154677898,489.1077594123049,494.80086676790535,499.8267377951556,506.0812636413184,511.3649947868645,518.0027528041472,523.7326872855348,530.5704358056537,536.9098685917211,543.8174885325064,550.8528213445646,557.7946280991736,565.5079374749761,572.5540105224283,580.8287383887931,588.1326715545412,596.790631592026,604.5407680936157,613.3987186339365,621.7583534402058,630.6861754011933,639.7417102334535],[622.5320625204295,613.3656618386925,604.5502348414473,596.085781528694,587.3165812655832,579.5009527356988,570.8799207029571,563.5706152433424,555.2692687286687,548.279648787122,540.4846253427181,533.6431736315405,526.4969749700056,519.7017499929624,513.2574987004111,506.5085004575024,500.7130739478201,494.1122439352803,488.82314049586785,482.541996001396,477.5725780800514,471.7977566558496,466.976506964874,461.8505103235411,457.0754873666999,452.6514380943506,447.92264187164386,444.1474173821635,439.5667893898257,436.2978879706153,432.0369454963455,429.087729595203,425.3331101912031,422.5320625204296,419.42626789929864,416.6714469626595,414.26759971051223,411.5590055080075,409.8039830387291,407.2435570665934,405.99485766758505,403.7541172135172,402.8251033325767,401.0906859487788,400.30984029820735,399.22424769727843,398.4896287808413,398.10598354889606,397.4175913665934,397.682770917517,397.1425469655833,397.91404958677697,397.6935111529111,398.7846992921727,399.07048392857683,400.30984029820735,401.24444971748045,402.5300328212454,404.1665896095021,405.4983994474015,407.7837810185271,409.2637590867954,412.0554637281911,413.8551273145273,416.96651747399085,419.27250413059704,422.5320625204296,425.4868739599047,428.7926590838716,432.4494178923304,435.8014297504317,440.1070133417594,443.60719343022976,448.41910009182743,452.2389656983657,457.37055787803126,461.6967465548395,466.976506964874,471.9515204245512,477.27750756872007,482.95446839738094,488.3266822756843,494.652467887214,500.17284999588634,507.004958677686,512.8450263044263,519.9968205042939,526.343211201304,533.6431736315407,540.6383891114197,547.9845782757907,555.6817411246535,563.0741570231589,571.4201446548907,578.9607287837651,587.8130394857667,595.673309132709,604.8453053527786,613.2118980699909,622.5320625204295],[605.2445523038792,596.7292414235527,587.546694214876,579.1356496273929,570.6310789824605,562.2542212088009,554.4455505898594,546.1385642368664,538.9393919226045,530.8323960724475,524.0794270940272,516.3556634149903,509.8605545548658,502.6982093663912,496.3073667991101,489.82299817437973,483.4663424209221,477.6778738221827,471.3910894893917,466.21211919533187,460.12532536537685,455.3925584071586,449.6889967483236,445.2140899084012,440.07194674012857,435.70130619304956,431.2371395885212,426.9006858552656,423.1324192767281,418.86583696413913,415.70706869028135,411.64047688052835,408.92791194251214,405.2445523038792,402.78984748415877,399.66790633608815,397.31746780921117,394.8735032248848,392.5572515118312,390.8091869534958,388.5628066611089,387.42424040745306,385.37785061790214,384.6854877000879,383.02233008165695,382.58782728213856,381.4860881542699,381.155851647595,380.7320890834707,380.4360393906191,380.7081768524857,380.4819985803008,381.363634346847,381.3374465774981,382.66528567988587,383.02233008165695,384.6080293023406,385.526492194674,387.21645770820106,388.8128971642788,390.53704949162926,392.8293889736978,394.62341272171494,397.52525050846316,399.51926475931623,402.8673058819061,405.2445523038792,408.85045354476483,411.7891184573003,415.49928599102935,419.11592746730906,422.86028181486154,427.17282331713216,430.98704908535126,435.90908889230155,439.92330516335664,445.2915483061485,449.6889967483236,455.3151000094113,460.2739669421488,466.0043364960799,471.6411799925616,477.4057363603161,483.73847988278874,489.5729076712098,496.5151494983621,502.54956778961935,509.9380129526131,516.3556634149903,524.00196869628,530.9810376492195,538.7316092233524,546.3886547400364,554.1734131279928,562.5263586706675,570.3809884792906,579.3434323266448,587.398052638104,596.8066998212998,605.2445523038792],[589.2768559278196,579.6845540155145,571.446278974946,562.3001803984826,554.2618958607501,545.7252955889662,537.7568824719004,529.9161822261073,521.981955922865,514.8192322408162,506.98927223041727,500.38796703893087,492.8158671468277,486.59779412646134,479.47189757019976,473.4538150526693,466.9374168010874,460.9892057042237,455.16870747863265,449.25468319559235,444.11216153374556,438.3024035435486,433.7213003722642,428.1694025003631,423.9715315001987,418.8658369641392,414.86795646681077,410.3717602354308,406.44375115876915,402.6434549533801,398.74963269054183,395.62731304889707,391.83775707890214,389.2768559278198,385.74516007612067,383.5674910961583,380.4819985803008,378.5043201031744,376.0283258919965,374.1205188355368,372.34042465034986,370.46680440771354,369.36468678627085,367.5953328364779,367.05463370559755,365.54313987410046,365.3856729143401,364.32038241868463,364.3629059617603,363.90711377078435,364.0195087345267,364.2596165695418,364.4061983471075,365.3242827458668,365.5751308162759,367.05463370559755,367.5633418943025,369.4260769547442,370.3809884792907,372.4437140425684,374.0081238717945,376.14072085573883,378.4010307109559,380.56781450872364,383.50610092768494,385.7771510182961,389.2768559278198,391.80576613672673,395.6887032173704,398.663816762119,402.74674434559864,406.3313561950268,410.4841551991732,414.76466707459224,418.95165289256204,423.91014133172536,428.2013934425385,433.7213003722642,438.2704126013732,444.1735517022189,449.1688672671695,455.2719968708512,460.87681074048135,467.04981176482977,473.3505256604508,479.5577134986226,486.53640395798806,492.8478580890031,500.3879670389309,506.95728128824186,514.8806224092895,521.896139994442,530.0194716183258,537.6444875081581,545.8376905527085,554.1586064685315,562.3859963269053,571.3848888064728,579.71654495769,589.2768559278196],[572.6242029368411,564.0739554905197,554.7183045413408,546.6743801652892,537.6384147341782,529.9141758761946,521.3845335153536,513.8084628877389,505.9276453097669,498.39780141628665,491.21893120729817,483.73531404795233,477.2052686218328,469.86981969285597,463.8460973370064,456.8303339260974,451.1262970883159,444.6168567476769,439.0609881402642,433.20037258249414,427.6907307092159,422.5320625204295,417.06864738128564,412.55880397536816,407.2435570665933,403.24003673094586,398.24447534023886,394.56064052265924,390.0714022022223,386.5357356150117,382.6953220774437,379.20588222436743,376.06741605578304,372.62420293684124,370.1345615511257,366.8395166625529,364.85619834710747,361.8808389766025,360.21720617922495,357.7481698789899,356.2327053119814,354.4124937946154,352.9432559617412,351.8249918133588,350.401980714619,349.9325413491055,348.6576984807347,348.6945821854913,347.7394248351884,348.0959940580128,347.6471597779798,348.15189723117334,348.3518877340093,348.9028519213372,349.8047897931568,350.401980714619,351.9527433693076,352.6981025211388,354.75518824609736,355.8202329159965,358.197004159023,359.768371899192,362.2933113725875,364.5135038956255,367.0846701031553,370.006809995177,372.62420293684124,376.1951676117318,378.96072878376503,383.03801652892565,386.12326321902674,390.52023648225526,394.11180624262636,398.6569477362238,402.8973422794639,407.4887105071957,412.4310524194194,417.0686473812856,422.65981407637827,427.44557726861353,433.5430670339762,438.6485157442793,445.0656910277098,450.67746280828294,457.24280632208234,463.50340288552445,470.1149731334584,477.077517065884,483.7353140479524,491.346682763247,498.15264797568426,506.2703397612488,513.395990491754,521.8333677953865,529.4653415961617,538.0508871301631,546.3316857138071,554.9634579819431,563.9462039345708,572.6242029368411],[557.0406290283743,547.9291523382775,539.3858628028989,530.3442575334687,522.4104663027698,513.5688515361757,506.0812636413184,497.62288104584434,490.3931532692828,482.49618916437106,475.37072768065286,468.1517401394854,461.06046546959067,454.5373779544141,447.51597470518607,441.6023854946891,434.780972748297,429.31358687364167,422.8754062983696,417.66588054201003,411.78911845730033,406.6838589937842,401.4850734728188,396.41400082312606,391.9111153281515,386.90991409912544,383.0165269088305,378.21531618264044,374.7681323281871,370.3501537731171,367.16083003695957,363.30426997245183,360.21921252913774,357.0406290283743,353.9897583988836,351.5070749241111,348.52607571528705,346.6528905451941,343.8718818392061,342.4449000049548,340.0471234700868,338.8780017541313,337.0416437098256,335.9767882867135,334.8184068061521,333.7877381968634,333.3252567422929,332.3644595536709,332.51147640378,331.75066971799396,332.34388990394467,331.9663153892787,332.8173956935252,333.0012396694215,333.95658626651147,334.8184068061521,335.8079402170654,337.365660782697,338.42506561427695,340.5922844845881,341.8516798190041,344.4651020251568,346.10772953069284,348.9790118551414,351.18305785123977,354.1586064685317,357.0406290283743,360.0503644594897,363.6282870453232,366.70789389710524,370.89531478761836,374.1749121422364,378.80853636859115,382.47136589432915,387.3628502389798,391.5870982552801,396.5828488927741,401.4850734728188,406.51501092413616,412.11313553017163,417.2129444021557,423.42056731287096,428.72036668769096,435.37419293424773,441.05722448018776,447.9689108450404,454.21336088154277,461.2293135392388,468.15174013948547,475.20187961100476,482.8202062372424,489.94021712942845,498.16804206034567,505.4880434553678,514.1620717221264,521.8653052882686,530.7971936733231,539.0618457300276,548.0980004079255,557.0406290283743],[541.7733742813194,532.5021550930985,523.7991230595956,515.2238038973654,506.554958677686,498.6576160792002,490.0930371523641,482.7571130444406,474.4503942359004,467.49770229909683,459.63718682639814,452.88448539243063,445.63346822441156,438.9506382111108,432.39552106908263,425.74687786960516,419.86973729132137,413.3253603846873,408.0096382969658,401.7231215086276,396.7906315920261,390.9503181395295,386.21781872576395,380.987003577947,376.32437558484816,371.78946046302207,367.1610192837466,363.3040807256648,358.77990583923275,355.4843857717133,351.2180710035771,348.3057831071776,344.485671674883,341.77337428131955,338.56276115370457,335.92033518080774,333.4056220791837,330.79738292011024,328.96064638223044,326.4566735160004,325.181355468683,322.9352427207488,322.0431568445514,320.24324743245876,319.5511520590973,318.3607409516843,317.73851699898955,317.2440059175675,316.65596877869615,316.8394342610183,316.3556634149903,317.10054738787494,316.87463666014276,318.00275280414735,318.22304541225674,319.5511520590973,320.3809429718864,321.77892103939365,323.30461197817357,324.73677685950423,326.9404443620285,328.47687553620244,331.2419615292891,333.0362528217589,336.1845709859655,338.42506561427695,341.77337428131955,344.6233672143106,348.04154730201986,351.58744026100186,355.0398071625345,359.26367668526075,362.8203098796368,367.6055978929254,371.4200912055973,376.5886113900059,380.8493080385194,386.21781872576395,391.0880136789571,396.52639578686836,402.0924907660524,407.565059687787,413.8091312307153,419.3859664452934,426.19145647878395,432.0261518116579,439.2148740162686,445.495772684984,452.8844853924307,459.77488236582576,467.2334664939391,474.819763493325,482.3125344352618,490.5768079983921,498.1738452331722,506.99953728686484,514.8544346399406,524.0633588647532,532.3644595536707,541.7733742813194],[526.2518215294033,517.7929637549825,508.5287024777045,500.2180129336527,491.6025764392435,483.33811362932613,475.4246245039006,467.2063884281177,459.9417240855611,451.8716562401471,445.11331496786045,437.3629326405144,430.9242768862957,423.6802176292196,417.3897301053699,410.7944956311627,404.5502348414474,398.65694773622386,392.4589136806429,387.21445135828833,381.1645855330764,376.4264462809918,370.69626597384774,366.277812239831,361.05395500295697,356.78366949930927,352.2086370453041,347.9845782757908,344.1114931907693,339.9336611553904,336.70940085323787,332.6797370482279,329.9617998163453,326.2518215294033,323.85356981558857,320.6499145989166,318.3998311154709,315.8450006816677,313.64114393235644,311.78826086753696,309.63063085236007,308.4265725704096,306.41711078560166,305.71937557392107,304.02959930718106,303.6515496135684,302.46809641709837,302.2382149538547,301.70358654025364,301.5199318111443,301.68725076652686,301.549822771552,302.3659665098035,302.3767067451976,303.69917355371905,304.02959930718106,305.6717516337704,306.50850045750246,308.29882101446077,309.7843946210617,311.6209419121545,313.808462887739,315.69123691296613,318.5275826714197,320.5585249270158,323.90119375573926,326.2518215294033,329.9141758761947,332.7711267201287,336.58164929728906,340.087424924092,343.94417423538675,348.15189723117334,352.05487327660245,356.9114210552581,360.96256533105617,366.3254361799817,370.69626597384774,376.3788223408411,381.2559752049771,387.0866998023395,392.6126774493446,398.4896287808413,404.7175537968299,410.64073186246105,417.5174816613187,423.5888279573188,430.97190082644636,437.36293264051443,445.06569102770976,451.9630459120479,459.8139725296123,467.3601521968193,475.25730554851816,483.5054325847087,491.44881267054194,500.3457644896015,508.4373128058037,517.8405876951331,526.2518215294033],[512.1258014726504,502.54956778961923,494.3273609783248,485.13435946641357,477.17001277341495,468.53842975206607,460.6783493519108,452.7247428943063,444.8988493079744,437.6411428763608,429.88512071069556,423.2369125837615,415.6808809209324,409.47887612983993,402.3060766381308,396.3619319653341,389.7505509641873,383.9106725842341,377.9772681468316,372.1715765807017,366.93407216929006,361.1982520238269,356.5702459170949,351.03441627446773,346.8526135035773,341.70001603207015,337.7760733794755,333.18489439853073,329.3652180387795,325.45201562157905,321.66652607565123,318.44922368444156,314.73360555918043,312.12580147265044,308.6101738502253,306.44857309953693,303.31617764823176,301.41243701583915,298.8414600550963,297.0419857155472,295.14898531854874,293.38369779282294,292.18659742181535,290.4911813167562,289.9035792504282,288.4081536482051,288.2667549177187,287.1545614866156,287.27102287442506,286.72024793388425,286.9409756145371,287.06817723774066,287.3230917322169,288.14619338141125,288.47097929655416,289.9035792504282,290.4283556684071,292.3071589581228,293.21516754722165,295.35183095523314,296.8212580348944,299.0621877357492,301.2095913791548,303.484707893833,306.3280115632295,308.67299949857437,312.12580147265044,314.67077991083136,318.569785220749,321.49799583004994,325.6548612582634,329.1444903581267,333.40562207918356,337.5732277427911,341.86854627767144,346.73205196726985,351.0972419228168,356.5702459170949,361.13542637547783,367.05463370559744,372.0030463351004,378.180113783516,383.68994490358125,389.97127864484014,396.1590863286497,402.47460688373206,409.3583145935325,415.74370656928147,423.2369125837616,429.8222950623465,437.7617044126682,444.73031906237316,452.9275885309907,460.45762167125804,468.7591574327189,476.96716713673055,485.3028897120148,494.20679944201737,502.6123934379683,512.1258014726504],[497.3722222222222,488.7402607072992,479.4410628640261,471.37051983966546,462.32918211468814,454.6418712614475,446.0467368723117,438.55941652190717,430.573780437451,423.1563315077131,415.8665954492478,408.4833333333333,401.8715738386124,394.5925780155412,388.54223701138267,381.5211013066073,375.8539924735687,369.279060104635,363.81194177443246,357.84650771017823,352.4492608006424,347.1797267623792,341.81666666666666,337.2251091921477,331.9663153892786,327.93617640532204,322.9352427207487,319.28833590791214,314.73360555918043,311.2866892491799,307.3414572051278,303.9644123157939,300.7150802977327,297.3722222222222,294.8008667679053,291.5622749852382,289.55233802148365,286.57160635711233,284.9449015644778,282.4103732359481,280.9836589461496,279.0586289222995,277.70178605316767,276.47265605530845,275.15,274.5988465658851,273.38045680342,273.3907218598675,272.43019221569824,272.82368944326566,272.309363134938,272.9028508653415,272.9980228616934,273.6613820127636,274.4524540351064,275.15,276.6190485860871,277.4208608438241,279.45132792047355,280.5110002965063,282.9246995442758,284.4305752561501,287.04426500675567,289.15963902330964,291.8432001945818,294.65447423712664,297.3722222222222,300.86147282851135,303.6834871064503,307.73415620330184,310.8140305995366,315.2479318675081,318.7740095995845,323.407901370392,327.543477407148,332.24724059862217,337.07871666136907,341.81666666666666,347.32611929315783,352.1683355912987,358.2392067083523,363.3392831247892,369.79338641296266,375.33966616524106,381.9937599562506,388.1495380132086,394.8735032248848,401.72518130783374,408.48333333333335,416.0129879800265,422.8754062983695,430.96647943562505,438.0867578722639,446.5610631806395,454.1275449531198,462.8018407643314,470.97782084149145,479.7219880733697,488.5938681765206,497.3722222222222],[483.52176835843534,474.522686632081,465.8745785902183,456.9217235979983,448.9224403390045,440.1177535771535,432.6247933884298,424.1397921446466,416.96651747399085,408.9878393004776,401.9627328601907,394.6328794695464,387.65399976339404,381.02609374173346,374.0934407697154,368.11435953092365,361.3298747892747,355.857116620753,349.39231739717184,344.2392447467181,338.2807685934069,333.2758641733221,327.96621280287974,323.00753511692943,318.3998311154708,313.48738016365485,309.5285009450651,304.7642182236181,301.31166207529844,296.8670648719193,293.7341942416676,289.79592010855833,286.8112177086756,283.52176835843534,280.583292692687,277.9957907114304,275.10354177981645,273.16486458142873,270.42078388018376,268.9884297520661,266.56403456888904,265.4513659588393,263.5332938459321,262.56879346625135,261.29954613621317,260.3812724906668,259.8139725296122,258.9419256182003,259.02345044001464,258.29957175897164,258.887419651056,258.48322648808096,259.3907598982332,259.4928898055281,260.54859144604933,261.2995461362131,262.4014745108688,263.8543765700163,265.00253167880635,267.1042585208227,268.4005818599818,271.00863177226813,272.6246406294951,275.5523760598494,277.6747079873462,280.75061164806954,283.5217683584354,286.64389875329306,290.1170028326425,293.28535996163464,297.407288823853,300.7238141832141,305.3520661157025,308.9882769931314,313.9362144436878,318.0787483913866,323.174854072312,327.9662128028798,333.10854521793954,338.601851317491,343.79041046668516,349.9325413491055,355.26926872866864,361.91772268135907,367.57413557898997,374.54227504974835,380.7050110176493,387.8213187187766,394.6328794695465,401.7954139048082,409.30892202456175,416.5176831939578,424.6800160965803,432.0369454963454,440.7056014692379,448.38221638707086,457.37055787803115,465.5534958661341,474.6900055874634,483.5217683584354],[470.19113306726257,460.8249311294766,452.23023181288426,443.54200643884263,434.9814939360736,426.9891685880229,418.4985275059206,411.1157004625495,402.8250498832832,395.8884261757537,387.98100776760737,381.30224417837366,373.95624426078973,367.3817469643994,360.7137236105598,354.17341312799283,348.20128980014414,341.7308507382438,336.36822571507474,330.09777715601047,325.1813554686829,319.29413908073866,314.63557751170697,309.3097796143251,304.7554843381368,300.10766300449916,295.5875545421343,291.63563323448756,287.1853961927893,283.8429731898222,279.59272665095995,276.69650698383447,272.82949261609224,270.19113306726257,266.88553719008263,264.3514439340964,261.72382462066076,259.2239181784979,257.2921988910532,254.86216386955698,253.53994288679186,251.30989836813166,250.4338807212082,248.58706837366796,247.96891084504034,246.68351698806242,246.16962575227817,245.56220845904465,245.08250403708374,245.17098676984105,244.76115376854688,245.45913480598378,245.2492923075256,246.39347668080416,246.56686635346594,247.96891084504034,248.70371900826444,250.2100297926822,251.62281451965072,253.16331211789182,255.27199687085115,256.882365889759,259.60054894739795,261.41090846914176,264.57529486262234,266.7688865554861,270.19113306726257,272.9461432506887,276.4726560553085,279.905642802479,283.46634242092216,287.5952291940835,291.2258002331933,295.9641853110343,299.7947468529802,304.9793352666627,309.1931289797286,314.63557751170697,319.41078971533517,324.95750454015695,330.41069330752947,335.9915949461747,342.140683739538,347.79145679884994,354.5500438968929,360.4008074590408,367.6055978929254,373.8395936261932,381.30224417837366,388.0976584022039,395.66457524722773,403.13796603480216,410.73906969364947,418.90836050721487,426.5793355867287,435.35812470497376,443.2290902873236,452.4540827414102,460.70828049488006,470.19113306726257],[456.4522307831914,448.03030101351374,438.7005477079408,430.4786084410992,421.75835344020584,413.6062855940309,405.5819306191285,397.4640495867769,390.1176711756189,382.1040564361106,375.3190965155149,367.5633418943025,361.1616141448268,353.852062859456,347.6503256128163,340.950272632125,334.8184068061521,328.8142538514518,322.71657483930215,317.39039844834616,311.3969857290399,306.63222782864625,300.8966752276358,296.5151494983622,291.22580023319335,287.0442650067557,282.36441404626646,278.2527502404955,274.2687993059972,270.1913223140496,266.88534794329564,262.9121372441914,260.1675813639998,256.4522307831914,254.0909070741197,250.82175982915297,248.6604266229173,246.00077768263014,243.90931589706122,241.9455669827649,239.8882920110193,238.60251966046735,236.64951098156516,235.92515712157552,234.23000856096914,233.8888868720995,232.63994164733475,232.49881046130113,231.859363541216,231.7881037758491,231.84455688175478,231.80748393021122,232.5419135998613,232.60910694116112,233.9049551013735,234.23000856096914,235.90908889230153,236.6803456877388,238.5594165219072,239.94017162202408,241.8891138768592,243.9657690029669,245.94889807162536,248.70352976147748,250.7909251229793,254.1069753033937,256.4522307831914,260.1515131347258,262.94297195036506,266.8422448047355,270.2432019250544,274.2123462000915,278.30920334640126,282.31253443526174,287.08736814531585,291.1949655270197,296.53121772763615,300.8966752276358,306.6161595993723,311.42782043521356,317.34729530978603,322.7684544503069,328.75780074554604,334.87485991205784,340.8983930211203,347.6934287513764,353.8212281532824,361.17768237410075,367.56334189430254,375.30302828624093,382.1348911422843,390.07456803705867,397.51592919778165,405.5254775132228,413.66273869993665,421.7064738292012,430.5217115796592,438.66971300176715,448.0463692427876,456.4522307831914],[444.1474173821633,434.60811170387524,426.38053259871435,417.16091243849417,409.2530188514012,400.5397217614509,392.779996404727,384.7155240976456,377.00202547505614,369.6395005369584,361.97222864850323,355.2585284932744,347.7394248351883,341.53204775022954,334.33262961021126,328.44493804332035,321.7518429735721,316.0123196370502,309.9680493501708,304.2747527477834,298.93242982988767,293.2853599616346,288.5918618266077,283.0929601887237,278.9057851239669,273.7265690041507,269.8590794574618,265.1861864079155,261.46686509159565,257.4427968249183,253.76970224273285,250.44758134503914,246.82071349698808,244.14741738216335,240.66871776448124,238.5017447199265,235.3427306203123,233.49544309382543,230.8427520644812,229.14363276836335,227.13976652188802,225.48687395990459,224.1849550824129,222.57828925456383,221.92519515994113,220.46669756246104,220.31992653810832,219.18111445869613,219.35402895241128,218.72153994326908,219.04262266735324,219.05895844107994,219.42626789929852,220.14455104200886,220.5580872343618,221.92519515994113,222.48689958266306,224.36033057851236,225.2417205193022,227.43483703321937,228.82255004427918,231.16383478856537,233.20037258249408,235.58788406091466,238.32636922382704,240.76010743638201,244.14741738216335,246.72932382508733,250.6229568411386,253.52454880213048,257.7378673362497,261.14578236751146,265.5072691319997,269.5640089461304,273.9717224447531,278.73040962786746,283.1843498606245,288.5918618266077,293.1939702897338,299.1078053259871,304.029599307181,310.2631198615022,315.691236912966,322.0729256976563,328.149867531989,334.57778305081365,341.35667225413016,347.8308145070891,355.25852849327447,361.88083897660243,369.8148760330578,376.75687203445364,385.010594608977,392.4589136806428,400.8608044855351,408.95794834006983,417.40606587909645,426.2051571026149,434.6995013757759,444.1474173821633],[431.30839935388815,422.5814550894004,413.356195090861,405.23874913105277,396.21347963534936,388.5422370113827,379.90019968679934,372.4868171811285,364.40619834710753,357.0970821342801,349.6944398640033,342.4195104649993,335.7127682207135,328.5077102423761,322.4104663027699,315.4053988272685,309.75435822350397,303.13252291912255,297.7393424336538,291.6789256198348,286.39001142720934,281.0075711771347,275.75284379833266,271.0663035742489,265.8814476161135,261.8044056967093,256.81954024141,253.1887016578474,248.58706837366805,245.2140899084013,241.17387511478424,237.90516294236087,234.54292471248823,231.3083993538882,228.64206115000638,225.47740721207308,223.4205673128709,220.45590387777358,218.84526731441304,216.2638360504357,214.91105960537095,212.89104683195598,211.6425366797346,210.30050047006398,209.08617713166598,208.44004094798618,207.29558903025492,207.25895115125473,206.31448973635943,206.7240551932009,206.1628259494256,206.8302515245629,206.8304407713499,207.60213263933056,208.28029844986196,209.08617713166598,210.4602429681882,211.33599307065896,213.3195572118608,214.39529781716752,216.82506529421102,218.28403807063773,220.971665665977,222.99205693296605,225.78395082114875,228.48231865188217,231.3083993538882,234.70266721061247,237.5986193332852,241.6023854946891,244.6983281201978,249.14829761744335,252.62747241407206,257.3353020296134,261.3758953168045,266.1879912251892,270.9065610761246,275.7528437983326,281.167313675259,286.08346781813367,292.1074359997396,297.2235806454504,303.69375216289785,309.19312897972867,315.92116061547193,321.9819559228651,328.81425385145184,335.5530257225892,342.4195104649994,349.8541823621276,356.7905385252044,364.8347087270123,371.9710553929251,380.4614289305747,387.9810077676074,396.72924142355276,404.8102387511479,413.66273869993665,422.42171259127605,431.30839935388815],[419.187187232676,410.3005004700639,401.5415265787244,392.68902662993577,384.6080293023406,375.85979564639524,368.34021680936246,359.849843271713,352.7134966058002,344.6693264039923,337.73297024091545,330.2982983437871,323.4318136013771,316.69304173023954,309.8607438016529,303.79994849425975,297.0719168585165,291.57254004168567,285.1023685242382,279.9862238785274,273.9622556969215,269.04610155404674,263.6316316771204,258.7853489549124,254.06677910397698,249.25468319559226,245.2140899084012,240.5062602928599,237.02708549623117,232.57711599898565,229.48117337347688,225.47740721207302,222.58145508940027,219.18718723267602,216.36110653066999,213.66273869993657,210.8708448117539,208.85045354476483,206.16282594942558,204.70385317299883,202.27408569595534,201.19834509064862,199.21478094944675,198.33903084697604,196.9649650104538,196.15908632864978,195.48092051811838,194.70922865013773,194.7090394033507,194.04161382821343,194.60284307198873,194.19327761514725,195.13773903004255,195.1743769090427,196.318828826774,196.9649650104538,198.1792883488518,199.52132455852242,200.7698347107438,202.78984748415877,204.14262392922356,206.72405519320085,208.3346917565614,211.2993551916587,213.3561950908609,216.5208490287942,219.18718723267602,222.42171259127608,225.7839508211487,229.05266299357208,233.09287778718905,236.46585625245586,241.06748953663515,244.69832812019777,249.6831935754971,253.76023549490128,258.9450914530367,263.6316316771204,268.88635905592247,274.26879930599716,279.5577134986226,285.6181303124416,291.01131079791037,297.6331461022918,303.28418670605635,310.28925418155774,316.386498121164,323.5915560995013,330.2982983437871,337.5732277427912,344.97587001306795,352.2849862258953,360.3656050599164,367.7789875655872,376.42102489017054,384.09226751413723,393.11753700984053,401.2349829696488,410.46024296818814,419.187187232676],[407.78378101852707,398.3358650121398,389.84152073897866,381.0424295154603,372.5943119764336,364.4971681218988,356.0952773170066,348.6469582453407,340.3932356708175,333.45123966942157,325.5172026129662,318.89489212963815,311.4671781434528,304.99303589049384,298.2141466871774,291.78623116835274,285.70928933402,279.3276005493298,273.89948349786596,267.66596294354474,262.74416896235084,256.8303339260975,252.22822546297152,246.8207134969882,242.3667732642312,237.60808608111677,233.20037258249417,229.14363276836343,224.78214600387523,221.37423097261342,217.1609124384942,214.25932047750234,210.36568746145105,207.7837810185271,204.39647107274575,201.96273286019078,199.2242476972784,196.83673621885782,194.8001984249291,192.45891368064292,191.0712006695831,188.87808415566593,187.9966942148761,186.1232632190268,185.56155879630487,184.19445087072555,183.7809146783726,183.06263153566223,182.69532207744368,182.67898630371698,182.35790357963282,182.99039258877502,182.81747809505987,183.95629017447206,184.10306119882478,185.56155879630487,186.21465289092757,187.82131871877667,189.12323759626832,190.77613015825176,192.7799964047271,194.47911570084494,197.13180673018917,198.97909425667604,202.13810835629025,204.30508140084498,207.7837810185271,210.45707713335185,214.0839449814029,217.4060658790966,221.07916046128204,225.1032287279594,228.82255004427927,233.49544309382551,237.36293264051443,242.54214876033063,246.72932382508742,252.22822546297152,256.9217235979983,262.5687934662514,267.91111638414714,273.6044129865346,279.64868327341395,285.3882066099358,292.0813016796841,297.968993246575,305.16841138659333,311.375788471552,318.89489212963827,325.608592284867,333.27586417332213,340.63838911141977,348.3518877340094,356.41636004109074,364.17608539781463,372.8893824877649,380.7972760748578,390.0168962350781,398.24447534023886,407.78378101852707],[395.8461701771308,387.4403086367271,378.0636523957065,369.9156509735987,361.1004132231405,353.05667809387603,344.9194169071622,336.9098685917211,329.46850743099816,321.52883053622367,314.6969676801803,306.95728128824186,300.57162176804013,293.2151675472217,287.0873681453158,280.29233241505966,274.2687993059972,268.1517401394854,262.1623938442463,256.7412347037254,250.8217598291529,246.01009899331163,240.29061462157517,235.92515712157552,230.58890492095907,226.48130753925523,221.7064738292011,217.7031427403406,213.60628559403088,209.63714131899377,206.23618419867483,202.33691134430444,199.54545252866515,195.84617017713074,193.5009146973331,190.18486451691868,188.09746915541686,185.34283746556474,183.35970839690629,181.28305327079858,179.33411101596346,177.95335591584657,176.0742850816782,175.3030282862409,173.62394795490852,173.29889449531288,172.0030463351005,171.9358529938007,171.2014233241506,171.23849627569416,171.18204316978847,171.25330293515538,171.8927498552405,172.03388104127416,173.28282626603888,173.62394795490852,175.3190965155149,176.04345037550453,177.99645905440673,179.28223140495868,181.33950637670426,183.3032552910006,185.39471707656952,188.05436601685668,190.21569922309234,193.4848464680591,195.84617017713074,199.56152075793918,202.30607663813078,206.27928733723505,209.58526170798896,213.66273869993657,217.64668963443492,221.75835344020587,226.43820440069507,230.61973962713273,235.90908889230153,240.29061462157517,246.02616722258563,250.79092512297925,256.78433784228554,262.11051423324153,268.20819324539116,274.2123462000915,280.3442120260644,287.04426500675567,293.24600225339543,300.55555353876616,306.9572812882419,314.7130359094543,321.49799583005,329.5116105695582,336.8579889807163,344.97587001306795,353.0002249879703,361.1522928341453,369.87254783503846,378.0944871018802,387.424240407453,395.8461701771308],[385.3426482187777,375.85979564639524,367.6055978929254,358.38060543883876,350.5096398564889,341.7308507382438,334.05987565872994,325.89058484516454,318.28948118631735,310.81609039874286,303.249173553719,296.4537593298888,288.9911087777084,282.75711304444053,275.55232261055596,269.70155904840806,262.94297195036506,257.2921988910532,251.14311009768983,245.56220845904465,240.1090196916721,234.56230486685033,229.78709266322213,224.34464413124374,220.13085041817789,214.94626200449528,211.11570046254943,206.37731538470848,202.74674434559861,198.6178575724373,195.05715795399414,191.6241712068236,188.09765840220385,185.3426482187777,181.9204017070013,179.7268100141375,176.56242362065692,174.75206409891308,172.03388104127413,170.42351202236634,168.31482726940698,166.77432967116587,165.36154494419736,163.8552341597796,163.12042599655547,161.7183815049811,161.5449918323193,160.40080745904075,160.61064995749894,159.91266892006203,160.3225019213562,160.2340191885989,160.7137236105598,161.32114090379332,161.83503213957758,163.12042599655547,163.73858352518312,165.58539587272335,166.4614135196468,168.69145803830702,170.0136790210721,172.44371404256833,174.37543333001304,176.87533977217598,179.5029590856115,182.03705234159779,185.3426482187777,187.9810077676074,191.8480221353496,194.7442418024751,198.9944883413373,202.3369113443044,206.78714838600266,210.73906969364938,215.25917815601437,219.9069994896519,224.46129476584022,229.78709266322215,234.44565423225384,240.33287062019807,245.2492923075256,251.51974086658987,256.882365889759,263.35280495165927,269.324928279508,275.86523876207497,282.5332621159145,289.1077594123049,296.45375932988884,303.1325229191225,311.0399413272688,317.97656503479834,326.26721561406464,333.65004265743585,342.140683739538,350.1330090875888,358.69352159035776,367.38174696439944,375.97644628099175,385.3426482187777],[374.43085926752633,365.5990964965544,356.46258677522513,348.27964878712214,339.2913072961618,331.61469237832875,322.9460364054363,315.5891070056712,307.4267741030488,300.2180129336527,292.7045048138991,285.5419703786374,278.7304096278676,271.61410192674026,265.45136595883935,258.48322648808096,252.82681359045,246.17835963775957,240.8416322581965,234.69950137577604,229.51094222658196,224.01763612703044,218.87530371197073,214.08394498140288,208.9878393004776,204.84530535277867,199.89736790222236,196.26115702479342,191.632905092305,188.31637973294397,184.19445087072552,181.02609374173346,177.55298966238396,174.4308592675263,171.65970255716047,168.5837988964372,166.4614669689403,163.533731538586,161.9177226813591,159.3096727690727,158.01334942991366,155.91162258789726,154.7634674791072,153.31056541995972,152.20863704530407,151.45768235514026,150.40198071461901,150.29985080732413,149.39231739717187,149.79651056014697,149.2086626680626,149.93254134910558,149.8510165272912,150.72306343870318,151.2903633997577,152.20863704530407,153.47788437534228,154.44238475502306,156.3604568679302,157.47312547797995,159.89752066115707,161.32987478927473,164.07395549051972,166.01263268890736,168.90488162052137,171.4923836017779,174.4308592675263,177.72030861776653,180.7050110176493,184.6432851507585,187.77615578101023,192.22075298438938,195.67330913270905,200.43759185415607,204.39647107274575,209.30892202456175,213.91662602602034,218.87530371197073,224.184955082413,229.18985950249777,235.14833565580898,240.3014083062628,246.76620752984394,252.23896569836563,259.02345044001464,265.0025316788064,271.9351846508244,278.56309067248503,285.5419703786375,292.87182376928166,299.89693020956855,307.8756083830817,315.04888305373754,323.5338842975208,331.0268444862444,339.83153124809553,347.8308145070892,356.78366949930927,365.43177754117187,374.43085926752633],[364.0388888888889,355.2605348431873,346.3886547400363,337.6444875081582,329.46850743099805,320.79421161978655,313.22772984730614,304.7534245389306,297.6331461022918,289.5420729650362,282.67965464669317,275.15,268.39184797450037,261.5401698915515,254.81620467987528,248.6604266229172,242.00633283190774,236.46005307962932,230.0059497914558,224.905873375019,218.83500225796547,213.99278595982454,208.4833333333333,203.74538332803576,198.91390726528886,194.21014407381466,190.07456803705864,185.44067626625116,181.91459853417476,177.48069726620326,174.4008228699685,170.35015377311697,167.52813949517807,164.03888888888886,161.3211409037933,158.5098668612485,155.8263056899763,153.7109316734223,151.09724192281683,149.59136621094245,147.17766696317295,146.11799458714023,144.08752751049073,143.28571525275382,141.81666666666663,141.11912070177308,140.32804867943028,139.66468952836013,139.56951753200815,138.9760298016047,139.49035610993235,139.09685888236487,140.05738852653417,140.0471234700867,141.2655132325518,141.81666666666663,143.1393227219751,144.36845271983432,145.7252955889662,147.65032561281623,149.0770399026148,151.61156823114447,153.23827302377902,156.21900468815033,158.22894165190488,161.467533434572,164.03888888888886,167.3817469643994,170.63107898246056,174.00812387179448,177.95335591584652,181.40027222584712,185.9550025745788,189.60190938741536,194.60284307198873,198.63298205594526,203.89177585881444,208.4833333333333,213.84639342904583,219.11592746730906,224.51317437684497,230.47860844109908,235.94572677130168,242.52065914023538,248.18776797327394,255.20890367804932,261.25924468220796,268.538240505279,275.15,282.5332621159145,289.8229981743798,297.24044710411766,305.22608318857385,312.71340353897847,321.3085379281142,328.9958487813548,338.0371865063321,346.1077295306927,355.40692737396586,364.0388888888889],[354.55004389689293,345.03663586221086,336.63104186625986,327.7271321362574,319.39140956097305,311.18339985696144,302.88186409550053,295.3518309552332,287.1545614866157,280.1859468369107,272.246537486589,265.661155008004,258.16794899352396,251.78255701777496,244.89884930797453,238.5833287528922,232.39552106908266,226.11418732782371,220.6043562077585,214.42728875934296,209.47887612984002,203.55966879972033,198.99448834133736,193.52148434705936,189.15629439151238,184.2927887019139,179.9974701670337,175.82986450342608,171.5687327823692,168.07910368250597,163.92223825429244,160.99402764499155,157.09502233507385,154.55004389689293,151.0972419228169,148.75225398747196,145.90895031807554,143.63383380339732,141.48643015999173,139.24550045913688,137.77607337947566,135.63940997146418,134.73140138236528,132.8525980926496,132.3278216746707,130.89522172079668,130.57043580565377,129.74733415645937,129.49241966198315,129.3652180387796,129.14449035812677,129.69526529866758,129.5788039108581,130.69099734196124,130.83239607244758,132.3278216746707,132.9154237409987,134.61083984605781,135.80794021706544,137.57322774279123,139.4662281397897,141.2657024793389,143.8366794400817,145.74042007247425,148.87281552377942,151.0344162744678,154.55004389689293,157.15784798342298,160.87346610868408,164.09076849989373,167.87625804582152,171.78946046302204,175.6091368227732,180.2003158037181,184.12425845631267,189.2768559278198,193.45865869871025,198.99448834133736,203.62249444806943,209.35831459353253,214.59581900494422,220.4015105710741,226.33491500847654,232.17479338842983,238.78617438957664,244.73031906237327,251.90311855408248,258.1051233451749,265.66115500800413,272.30936313493805,280.0653853006033,287.32309173221694,295.1489853185488,303.1025917761534,310.96267217630856,319.59425519765745,327.55860189065606,336.7516034025673,344.9738102138617,354.55004389689293],[344.4336397112214,336.0224058769514,326.6191309876218,318.5275826714196,309.63063085236007,301.68725076652686,293.43912373033623,285.5419703786374,277.99579071143046,270.14486409386603,263.24750920952795,255.54475082233253,249.1537190082645,241.77064613913694,235.6992998431368,228.8225500442792,222.8993719786481,216.67144696265942,210.79449563116268,205.26851798415768,199.4377933867953,194.5606405226593,188.87808415566587,184.50725436179988,179.14438351287436,175.09323923707618,170.23669145842067,166.3337154129915,162.1259924172049,158.26924310591014,154.7634674791072,150.95294490194684,148.09599405801282,144.43363971122145,142.08301193755742,138.74034310883394,136.7094008532378,133.8730550947843,131.99028106955717,129.80276009397258,127.96621280287981,126.4806391962789,124.69031863932055,123.85356981558857,122.21141748899922,121.8809917355372,120.55852492701575,120.54778469162163,119.73164095337013,119.86906894834502,119.70174999296246,119.88540472207174,120.42003313567284,120.64991459891651,121.83336779538655,122.21141748899923,123.90119375573921,124.5989289674198,126.60839075222768,127.81244903417821,129.97007904935515,131.8229621141746,134.0268188634859,136.581649297289,138.8317327807347,142.03538799740676,144.43363971122145,148.1436179981635,150.86155523004606,154.891219035056,158.1154793372085,162.29331137258748,166.16639645760893,170.39045522712226,174.96548768112743,179.2357731847751,184.45963042164922,188.87808415566587,194.60826446280996,199.3464037148945,205.3962695401065,210.64073186246108,216.838765918042,222.73205302326554,228.9763138129808,235.57154828718802,241.86203581103777,249.10609506811383,255.5447508223326,263.2951331496786,270.05347442196523,278.12354226737915,285.3882066099358,293.60644268571883,301.5199318111443,309.78439462106167,318.3998311154708,326.71052065952256,335.9747819368007,344.4336397112214],[335.71276822071343,326.3038534930648,318.0027528041473,308.7938285793347,300.9389312262587,292.11323917256607,284.516201937786,276.2519283746557,268.759157432719,261.17286043333297,253.7142763052196,246.8238793318245,239.43516662437793,233.1542679556624,225.9655457510518,220.13085041817789,213.3253603846873,207.74852517010922,201.50445362718094,196.03188470544623,190.46578972626227,185.02740761835096,180.15721266515786,174.78870197791326,170.52800532939978,165.35948514499117,161.5449918323193,156.7597038190307,153.20307062465469,148.9792011019284,145.5268342003957,141.9809412414138,138.56276115370449,135.7127682207134,132.36445955367086,130.1239649253594,126.97564676115277,125.18135546868294,122.41626947559635,120.87983830142232,118.67617079889806,117.24400591756742,115.71831497878752,114.32033691128025,113.49054599849117,112.16243935165062,111.94214674354117,110.81403059953661,111.03994132726879,110.29505735438424,110.77882820041224,110.59536271808997,111.18339985696136,111.67791093838348,112.30013489107823,113.49054599849119,114.18264137185264,115.98255078394521,116.87463666014266,119.12074940807688,120.39606745539434,122.90004032162435,124.73677685950413,127.34501601857751,129.8597291202017,132.50215509309842,135.7127682207134,138.42506561427692,142.24517704657148,145.15746494297096,149.4237797111072,152.71929977862666,157.24347466505867,161.1004132231405,165.72885440241592,170.26376952424206,174.9263975173409,180.15721266515786,184.88971207892337,190.73002553141995,195.66251544802148,201.94903223635976,207.2647543240812,213.8091312307153,219.68627180899907,226.33491500847654,232.89003215050474,239.57286216380552,246.82387933182454,253.57658076579202,261.4370962384907,268.3897881752942,276.69650698383447,284.03243109175804,292.59701001859406,300.4943526170799,309.1631978367593,317.73851699898955,326.44154903249233,335.71276822071343],[326.73759872534396,317.7949701048953,308.7588154269973,300.4941633702929,291.5622749852382,283.8590414190962,275.1850131523374,267.8650117573153,259.63718682639814,252.51717593421205,244.89884930797444,237.8487098364551,230.92628323620838,223.91033057851237,217.66588054201003,210.7541941771574,205.07116263121742,198.41733638466056,193.11753700984056,186.9099140991254,181.81010522714132,176.2119806211058,171.18204316978844,166.27981858974377,161.28406795224979,157.0598199359494,152.16833559129884,148.50550606556084,143.87188183920605,140.59228448458802,136.40486359407484,133.32525674229288,129.74733415645932,126.73759872534399,123.85557616550129,120.88002754820936,118.67598155211104,115.80469922766247,114.16207172212646,111.5486495159737,110.28925418155771,108.12203531124658,107.06263047966658,105.50490991403507,104.51537650312177,103.6535559634811,102.69820936639118,102.51436539049487,101.66328508624832,102.04085960091435,101.4476394149636,102.20844610074963,102.06142925064051,103.02222643926254,103.48470789383305,104.51537650312177,105.67375798368312,106.73861340679522,108.57497145110092,109.7440931670564,112.14186970192445,113.56885153617571,116.34986024216379,118.22304541225667,121.20404462108073,123.68672809585324,126.73759872534399,129.9161822261074,133.0012396694215,136.85779973392923,140.0471234700867,144.4651020251568,147.91228587961004,152.71349660580015,156.60688379609508,161.6080850251211,166.11097052009572,171.18204316978844,176.38082869075384,181.48608815426994,187.36285023897975,192.57237599533926,199.0105565706113,204.47794244526668,211.2993551916587,217.21294440215567,224.2343476513838,230.75743516656033,237.84870983645516,245.0676973776225,252.1931588613407,260.0901229662524,267.31985074281397,275.77823333828815,283.26582123314546,292.10743599973955,300.0412272304385,309.08283249986863,317.6261220352472,326.73759872534396],[318.0787483913867,309.4007493891164,300.4180034364887,291.7862311683528,283.5054325847087,274.9198870507072,267.287913249932,258.8505359462995,251.72488521579436,243.60719343022973,236.8012282177924,229.18985950249777,222.53206252042952,215.56951858800377,208.95794834006992,202.6973517766278,196.1320082628284,190.52023648225523,184.10306119882478,178.9976124885216,172.900122723159,168.11435953092376,162.5231928358311,157.8855978739649,152.9432559617412,148.3518877340093,144.11149319076927,139.56635169717183,135.97478193680072,131.57780867357224,128.4925619834711,124.4152742383105,121.64971306627727,118.07874839138667,115.46135544972242,112.53921555770077,109.96804935017092,107.74785682713289,105.22291735373744,103.65154961356836,101.27477837054192,100.2097337006428,98.15264797568426,97.40728882385304,95.85652616916444,95.25933524770223,94.35739737588257,93.80643318855476,93.60644268571875,93.10170523252533,93.55053951255827,93.19397028973384,94.14912764003674,94.11224393528022,95.38708680365102,95.85652616916445,97.27953726790425,98.39780141628661,99.8670392491608,101.68725076652683,103.20271533353544,105.67175163377038,107.335384431148,110.31074380165289,112.2940621170984,115.58910700567121,118.07874839138667,121.52196151032851,124.66042767891288,128.14986753198912,131.99028106955714,135.52594765676778,140.0151859772047,143.69902079478436,148.69458218549133,152.6981025211388,158.0133494299137,162.5231928358311,167.986607974975,173.14527616376134,178.6549180370396,184.5155335948097,190.0714022022223,196.58084254286135,202.2848793806429,209.30064279155192,215.32436514740147,222.6598140763783,229.18985950249782,236.67347666184364,243.8523468708321,251.3821907643123,259.2630083422844,266.83907896989916,275.36872133074013,283.09296018872374,292.1289256198347,300.1728499958863,309.5285009450651,318.0787483913867],[310.48897713994097,300.92866616981127,292.59701001859406,283.5981175390267,275.37072768065286,267.04981176482977,258.8566087202794,251.23159283044714,243.1082612065634,236.09274362141082,228.16940250036305,221.60008825105209,214.05997930112437,207.74852517010922,200.76983471074382,194.562646872572,188.26193297695104,182.08893195260256,176.48411808297243,170.38098847929066,165.3856729143401,159.4825338134944,154.93342158438543,149.41351465465976,145.12226254384663,140.1637741046832,135.97678828671346,131.69627641129446,127.54347740714803,123.95886555771986,119.87593797424014,116.90082442949159,113.0178873488479,110.48897713994099,106.9892722304173,104.71822213980619,101.77993572084483,99.61315192307707,97.35284206786007,95.2202450839157,93.65583525468955,91.59310969141188,90.63819816686535,88.77546310642367,88.26675491771876,86.7872520283971,86.536403957988,85.61831955922865,85.47173778166292,85.23162994664796,85.11923498290561,85.57502717388147,85.53250363080582,86.5977941264613,86.75526108622165,88.26675491771877,88.80745404859913,90.57680799839204,91.67892561983471,93.552545862471,95.33264004765806,97.24044710411772,99.71644131529563,101.69411979242197,104.77961230827948,106.95728128824184,110.48897713994099,113.04987829102339,116.8394342610183,119.961753902663,123.85557616550129,127.65587237089038,131.58388144755205,136.08007767893199,140.0779581762604,145.18365271231988,149.38152371248432,154.93342158438543,159.51452475566984,165.32428274586675,170.4668044077135,176.38082869075387,182.20132691634493,188.14953801320868,194.66593626479053,200.684018782321,207.80991533858256,214.02798835894893,221.60008825105214,228.2013934425385,236.0313534529375,243.1940771349862,251.1283034382286,258.96900368402174,266.9374168010874,275.4740170728714,283.5123016106038,292.6584001870674,300.8966752276358,310.48897713994097],[302.2142492735762,293.77639679099707,284.3677496078011,276.313129296342,267.35068544898763,259.49605564036455,251.14311009768983,243.35835170973337,235.70130619304956,227.95073461891647,220.97166566597699,213.32536038468726,206.90770992231015,199.51926475931626,193.48484646805912,186.54260464090683,180.7081768524857,174.37543333001307,168.61087696225866,162.9740334657768,157.24366391184574,152.28479697910834,146.6586937180206,142.2612452758455,136.8930021330536,132.8787858619985,127.95674605504824,124.14252028682913,119.8299787845585,116.08562443700609,112.4689829607263,108.75881542699724,105.82015051446183,102.21424927357617,99.83700285160306,96.48896172901321,94.49494747816011,91.59310969141188,89.79908594339479,87.50674646132617,85.78259413397578,84.18615467789803,82.49618916437099,81.5777262720376,79.99202705135394,79.63498264958287,78.30714354719503,78.33333131654395,77.45169554999774,77.67787382218266,77.40573636031608,77.7017860531677,78.12554861729197,78.45578512396695,79.55752425183557,79.99202705135396,81.65518466978489,82.34754758759907,84.39393737715,85.53250363080582,87.77888392319278,89.5269484815282,91.84320019458185,94.28716477890812,96.63760330578513,99.75954445385577,102.21424927357617,105.89760891220915,108.61017385022532,112.6767656599783,115.8355339338361,120.10211624642508,123.87038282496253,128.2068365582182,132.67100316274653,137.04164370982554,142.18378687809823,146.6586937180206,152.36225537685561,157.0950223350738,163.1818161650288,168.3607864590887,174.64757079187964,180.43603939061913,186.79269514407676,193.27706376880712,199.6679063360882,206.83025152456287,213.32536038468731,221.04912406372426,227.80209304214455,235.9090888923015,243.10826120656344,251.41524755955646,259.22391817849797,267.6007759521576,276.1053465970899,284.516391184573,293.69893839324965,302.2142492735762],[295.2593352477022,285.93917079726367,277.57257808005136,268.4005818599818,260.5403122130395,251.68800151103778,244.1474173821634,235.80142975043165,228.40901385192632,220.71185100306346,213.36566183869243,206.37044635881327,199.07048392857675,192.7240932315665,185.57229903169895,179.73223140495867,172.900122723159,167.37974061448662,161.05395500295694,155.68174112465357,150.00478029599273,144.67879315182378,139.70377969214664,134.4240192821121,130.0978306053039,124.96623842563832,121.14637281910007,116.33446615750242,112.83428606903207,108.52870247770437,105.17669061960302,101.51993181114425,98.21414668717732,95.2593352477022,91.99977685786966,89.69379020126348,86.58240004179994,84.7827364554637,81.99103181406805,80.51105374579974,78.22567217467406,76.89386233677476,75.25730554851799,73.97172244475308,73.03711302547997,71.79775665584945,71.5119720194453,70.42078388018378,70.64132231404956,69.86981969285596,70.41004364478965,70.14486409386598,70.83325627616868,71.21690150811395,71.95152042455106,73.03711302547998,73.81795867605148,75.55237605984934,76.48138994078982,78.72213039485764,79.97082979386605,82.53125576600176,84.28627823528014,86.99487243778484,89.39871968993214,92.15354062657123,95.2593352477022,98.06038291847572,101.81500232247559,104.76421822361813,109.02516069788794,112.29406211709838,116.87469010943609,120.64991459891648,125.37871082162326,129.80276009397252,134.5777830508137,139.70377969214667,144.5250293831222,150.29985080732408,155.26926872866864,161.55041322314054,166.8395166625529,173.4403466750927,179.23577318477507,185.98477142768388,192.42902272023522,199.22424769727834,206.37044635881333,213.21189806999084,221.0069215143948,227.99654145594133,236.29788797061525,243.60719343022976,252.2282254629715,260.0438539928559,268.8130542559667,277.27750756872007,286.0929345659652,295.2593352477022],[288.22655871830204,279.1710238860419,270.2432019250544,261.8835671187851,253.02561657846422,245.27548007687452,236.6175200393897,229.31358687364164,221.0388590072768,213.99278595982457,206.279476584022,199.33766982941316,192.302337017355,185.3947170765695,179.05528429050221,172.2175357703834,166.48760128899576,159.8498432717129,154.5661121261669,148.31158628000406,143.28571525275385,137.59260789715336,132.6710031627465,127.65587237089038,122.76845445030688,118.44922368444158,113.6316771845248,109.92194472333915,105.30438872625837,102.04085960091435,97.80653577495353,94.80086676790533,91.12796143250686,88.22655871830204,85.23162994664793,82.36441404626648,80.06538530060321,77.26804082088844,75.5785103799048,72.98115640302603,71.73782929788403,69.52370749212528,68.53824050527908,66.88553719008263,66.00433649607982,65.02960974462773,64.1825958644483,63.90376913898705,63.126626679474306,63.45729825869269,62.88014630201594,63.65702121707596,63.46310143151921,64.49783646487504,64.86533516988061,66.00433649607983,67.04981176482976,68.22299990485233,69.9643751995931,71.20743476028238,73.55830835970279,75.00135842322806,77.79843535849011,79.62471759313537,82.67965464669322,85.0673553719008,88.22655871830204,91.29223600725402,94.48562616747859,98.2472034824214,101.51046506331267,105.88154068293511,109.34479276666238,114.16207172212646,118.00855597697377,123.08369505073361,127.49159779614325,132.67100316274647,137.75688247190047,142.97047465232706,148.7522539874719,154.03571758856526,160.42699522838964,165.91044933231902,172.74793030798503,178.61461658303438,185.7099576769963,192.1380624426079,199.3376698294132,206.44375115876912,213.6775453593978,221.4795267147446,228.78319233604,237.1946719960665,244.69832812019777,253.5560111160659,261.44289941131717,270.5584425254811,279.00674931129475,288.22655871830204],[281.3084448612925,272.71919613623226,263.6316316771205,255.11225437272694,246.720589939606,238.2353994490358,230.52171157965924,222.14078738193245,214.98851800311823,206.86545392368723,200.09641671599294,192.4195559724036,185.85050926754536,178.78314682863564,172.2839715444441,165.91250913152516,159.44752066115703,153.75403481198248,147.39331263445771,142.26124527584548,136.1583832166165,131.4095480291243,125.75288930573691,121.20404462108074,116.15688420237299,111.67791093838346,107.32665054566658,102.88186409550045,99.20858026652793,94.86806010920517,91.75619477079495,87.673534731768,84.94490156447782,81.30844486129249,78.77980219683829,75.75284379833259,73.2940725545451,70.96301418203022,68.53842975206611,66.8853479432956,64.56502980617486,63.473366487966686,61.410908469141745,60.70247732205357,59.086222639070265,58.577781994818096,57.571025616514405,57.13245639292894,56.82160004061609,56.41721763085398,56.7843378422855,56.48422172536679,57.412760427360624,57.3705044287377,58.682275301851554,59.086222639070265,60.5979840150201,61.61142965691844,63.19306245353498,64.90240812142416,66.5182277318641,68.90554996349762,70.62563586678094,73.57437658897678,75.55232261055589,78.88429550387174,81.30844486129249,84.84040825744438,87.8740559195447,91.4758907363633,95.20543842445444,98.84146005509642,103.24898430693194,106.98927223041728,111.95821497281518,115.95636301459628,121.30853792811419,125.75288930573691,131.30505472209083,136.35890440439317,141.9809412414138,147.73069094970703,153.38691460055097,159.81464087258854,165.57513081627584,172.5642755788758,178.58262564085896,185.95500257457883,192.41955597240363,199.99192340895948,207.06597511146393,214.7082139686865,222.47816569718177,230.15459136822778,238.60251966046735,246.38321162435673,255.3925584071586,263.43111048934384,272.8236894432657,281.3084448612925],[275.6,266.0130703815612,257.73786733624974,248.65726078808092,240.5302259731384,232.0984442078385,224.0176361270304,216.28780173071416,208.2532203840405,201.17221077059318,193.28579765428844,186.7111111111111,179.14438351287433,172.8893824877649,165.82897795979807,159.72214516505758,153.31056541995972,147.24995935935365,141.54032698323945,135.52594765676776,130.46514006352245,124.5989289674198,120.04444444444442,114.4979188664097,110.26311986150225,105.22291735373743,101.136286579199,96.74490885430315,92.70450481389909,89.01507445798688,85.02089715171722,81.98029157867396,78.13428250277332,75.6,72.07367644216725,69.85907945746185,66.83907896989906,64.77265021556265,62.40147451086879,60.381272490666774,58.71204415495657,56.73806886888896,55.7176653160477,53.89185826034907,53.37777777777777,51.871656240147054,51.67726127564366,50.6774628082829,50.6312360741485,50.28026238965667,50.28026238965667,50.6312360741485,50.6774628082829,51.67726127564366,51.871656240147054,53.37777777777777,53.89185826034907,55.7176653160477,56.738068868888945,58.71204415495657,60.381272490666774,62.40147451086879,64.77265021556265,66.83907896989905,69.85907945746185,72.07367644216725,75.6,78.13428250277335,81.98029157867396,85.02089715171725,89.01507445798686,92.70450481389909,96.7449088543031,101.136286579199,105.22291735373746,110.26311986150223,114.4979188664097,120.04444444444442,124.5989289674198,130.46514006352243,135.52594765676776,141.54032698323945,147.24995935935365,153.31056541995972,159.72214516505758,165.82897795979807,172.88938248776492,179.14438351287433,186.71111111111117,193.28579765428844,201.17221077059318,208.25322038404045,216.2878017307142,224.01763612703047,232.0984442078385,240.5302259731384,248.65726078808086,257.7378673362498,266.0130703815612,275.6],[269.1872327400804,260.70247732205365,251.30989836813168,243.27134628594655,234.26199950314458,226.48130753925525,218.03337924701563,210.35695357596964,202.58700184747445,194.9447629902518,187.87071128774735,180.29834385119145,173.83379045336673,166.4614135196468,160.4430634576637,153.45391869506375,147.69342875137647,141.26570247933884,135.60947882849493,129.8597291202017,124.23769228318108,119.18384260087872,113.6316771845248,109.18732580690208,103.83515089338418,99.83700285160306,94.86806010920517,91.12777218571986,86.72024793388431,83.08422630324236,79.35467861515116,75.75284379833259,72.71919613623224,69.18723274008038,66.76308338265966,63.43111048934378,61.45316446776468,58.5044237455688,56.78433784228551,54.39701561065198,52.781196000212056,51.07185033232289,49.490217535706336,48.47677189380799,46.965010517858154,46.561063180639444,45.24929230752559,45.29154830614851,44.363009604154676,44.66312572107339,44.29600550964187,44.70038791940398,45.01124427171682,45.449813495302294,46.456569873605986,46.965010517858154,48.58126520084146,49.289696347929635,51.35215436675456,52.44381768496275,54.7641358220835,56.41721763085399,58.841802060818125,61.17286043333298,63.63163167712048,66.65859007562617,69.18723274008038,72.8236894432657,75.55232261055589,79.63498264958287,82.74684798799305,87.08736814531582,90.76065197428832,95.20543842445447,99.55669881717138,104.03567208116087,109.08283249986863,113.6316771845248,119.28833590791217,124.03717109540435,130.1400331546334,135.27210051324562,141.63282269077035,147.32630853994493,153.79129701031306,160.16275942323202,166.66193470742357,173.72929714633327,180.29834385119153,187.97520459478082,194.7442418024751,202.86730588190608,210.01957526072033,218.40049945844723,226.11418732782371,234.5993778183939,242.9910422515148,251.51041955590838,260.59798401502013,269.1872327400804],[263.98413447587785,254.76432506887056,246.31601828305688,237.200475168893,229.31358687364164,220.45590387777355,212.9522477536422,204.54076809361578,197.23710247232043,189.4351211169736,182.20132691634493,175.0952455869889,167.89563820018367,161.46753343457203,154.37219234061016,148.5055060655608,141.66802508989477,136.18457098596545,129.79329334614104,124.50982974504768,118.72805040990285,113.51445822947625,108.42857892032224,103.24917355371903,98.8412708083094,93.76613173454953,89.91964747970223,85.10236852423819,81.63911644051089,77.26804082088847,74.00477923999716,70.24320192505436,67.04981176482977,63.984134475877816,60.824931129476596,58.437230404269,55.38229335071116,53.55601111606587,50.758934180803834,49.31588411727857,46.96501051785816,45.72195095716889,43.98057566242811,42.807387522405534,41.761912253655595,40.622910927456395,40.255412222450815,39.22067718909499,39.41459697465174,38.63772205959172,39.21487401626847,38.884202437050085,39.66134489656283,39.94017162202407,40.78718550220351,41.761912253655595,42.6431129476584,44.295816262854856,45.28128324970104,47.49540505545981,48.73873216060183,51.336086137480585,53.02561657846423,55.82296105817898,58.121989803842254,60.9892057042237,63.984134475877816,66.88553719008269,70.55844252548111,73.56411153252935,77.7984353584901,81.06196448383415,85.6795204809149,89.38925294210058,94.2067994420174,98.52603020788264,103.41344812846616,108.42857892032225,113.35018365472912,119.04329101032957,124.06916203757984,130.32368788374268,135.6074190292887,142.2451770465715,147.97511152795917,154.812860048078,161.15229283414533,168.05991277493078,175.09524558698897,182.03705234159779,189.75036171740035,196.79643476485253,205.07116263121742,212.37509579696552,221.0330558344503,228.78319233604,237.6411428763608,246.00077768263014,254.92859964361762,263.98413447587785],[258.8956988840659,249.7292982023289,240.9138712050837,232.4494178923304,223.68021762921956,215.86458909933515,207.24355706659335,199.93425160697893,191.63290509230504,184.6432851507585,176.84826170635452,170.00680999517698,162.860611333642,156.06538635659885,149.62113506404754,142.87213682113872,137.07671031145637,130.4758802989166,125.18677685950416,118.90563236503229,113.93621444368775,108.16139301948586,103.3401433285103,98.21414668717738,93.4391237303362,89.01507445798688,84.28627823528015,80.51105374579979,75.93042575346205,72.66152433425162,68.40058185998177,65.45136595883926,61.69674655483938,58.895698884065865,55.789904262934925,53.03508332629581,50.631236074148525,47.92264187164378,46.16761940236543,43.607193430229714,42.35849403122131,40.1177535771535,39.188739696213005,37.45432231241514,36.673476661843644,35.587884060914725,34.85326514447762,34.46961991253236,33.78122773022965,34.04640728115332,33.50618332921961,34.277685950413236,34.05714751654744,35.148335655808964,35.43412029221313,36.673476661843644,37.608086081116745,38.89366918488167,40.53022597313841,41.86203581103773,44.147417382163425,45.62739545043173,48.41910009182738,50.21876367816359,53.33015383762715,55.63614049423332,58.895698884065865,61.850510323541,65.15629544750792,68.8130542559667,72.16506611406801,76.47064970539574,79.97082979386605,84.78273645546373,88.602602062002,93.73419424166754,98.06038291847577,103.3401433285103,108.31515678818747,113.64114393235637,119.31810476101721,124.69031863932058,131.0161042508503,136.53648635952266,143.36859504132232,149.2086626680626,156.36045686793022,162.7068475649404,170.00680999517704,177.00202547505612,184.34821463942714,192.04537748828992,199.43779338679533,207.78378101852712,215.32436514740144,224.17667584940318,232.0369454963454,241.20894171641504,249.57553443362724,258.8956988840659],[253.72940078872767,245.21408990840126,236.03154269972453,227.62049811224148,219.1159274673091,210.7390696936494,202.9303990747079,194.62341272171494,187.42424040745306,179.31724455729605,172.56427557887577,164.84051189983876,158.34540303971437,151.18305785123965,144.79221528395863,138.30784665922826,131.95119090577063,126.1627223070311,119.87593797424016,114.69696768018028,108.6101738502253,103.87740689200709,98.17384523317207,93.6989383932497,88.55679522497702,84.186154677898,79.72198807336969,75.38553434011403,71.61726776157657,67.35068544898762,64.19191717512979,60.12532536537681,57.41276042736061,53.72940078872765,51.27469596900727,48.15275482093662,45.802316294059615,43.35835170973333,41.042099996679696,39.29403543834425,37.047655145957314,35.909088892301504,33.86269910275056,33.170336184936374,31.507178566505434,31.072675766987068,29.970936639118445,29.640700132443452,29.216937568319192,28.92088787546757,29.193025337334152,28.96684706514924,29.848482831695442,29.822295062346527,31.150134164734357,31.50717856650544,33.09287778718908,34.01134067952248,35.701306193049504,37.29774564912727,39.02189797647769,41.31423745854627,43.10826120656339,46.010098993311594,48.0041132441647,51.35215436675455,53.72940078872765,57.33530202961335,60.27396694214874,63.9841344758778,67.60077595215756,71.34513029971,75.6576718019806,79.47189757019973,84.39393737715,88.40815364820509,93.776396790997,98.17384523317209,103.7999484942598,108.7588154269972,114.48918498092829,120.12602847741012,125.89058484516453,132.2233283676372,138.05775615605833,144.99999798321062,151.0344162744678,158.42286143746165,164.84051189983882,172.48681718112846,179.46588613406797,187.216457708201,194.87350322488487,202.6582616128414,211.011207155516,218.8658369641392,227.8282808114934,235.8829011229526,245.29154830614848,253.72940078872767],[249.88291653388038,240.2906146215752,232.05233958100675,222.90624100454323,214.86795646681074,206.3313561950268,198.3629430779611,190.522242832168,182.58801652892564,175.42529284687689,167.59533283647787,160.99402764499146,153.4219277528883,147.2038547325219,140.07795817626035,134.05987565872994,127.54347740714803,121.59526631028429,115.77476808469324,109.86074380165289,104.71822213980616,98.90846414960922,94.32736097832479,88.77546310642367,84.57759210625927,79.47189757019974,75.47401707287135,70.97782084149145,67.04981176482976,63.249515559440695,59.355693296602375,56.23337365495767,52.44381768496274,49.88291653388036,46.351220682181236,44.173551702218866,41.08805918636136,39.11038070923499,36.6343864980571,34.72657944159744,32.94648525641039,31.072865013774106,29.970747392331425,28.201393442538503,27.66069431165814,26.149200480161035,25.991733520400686,24.9264430247452,24.96896656782085,24.513174376844987,24.62556934058734,24.86567717560231,25.012258953168043,25.930343351927384,26.181191422336482,27.660694311658148,28.169402500363052,30.032137560804728,30.98704908535126,33.04977464862893,34.61418447785509,36.74678146179946,39.00709131701646,41.17387511478419,44.112161533745564,46.38321162435667,49.88291653388036,52.41182674278731,56.294763823430976,59.26987736817955,63.352804951659216,66.93741680108741,71.09021580523377,75.3707276806528,79.5577134986226,84.51620193778595,88.80745404859913,94.32736097832479,98.87647320743376,104.77961230827943,109.77492787323004,115.87805747691178,121.48287134654194,127.65587237089038,133.95658626651138,140.1637741046832,147.14246456404862,153.45391869506375,160.99402764499152,167.56334189430243,175.4866830153502,182.50220060050276,190.62553222438652,198.2505481142188,206.44375115876917,214.76466707459224,222.992056932966,231.99094941253344,240.32260556375059,249.88291653388038],[245.35147566411393,236.80122821779244,227.44557726861353,219.40165289256203,210.365687461451,202.64144860346735,194.11180624262633,186.5357356150117,178.6549180370396,171.12507414355935,163.94620393457086,156.46258677522502,149.93254134910555,142.5970924201287,136.57337006427917,129.55760665337016,123.85356981558859,117.34412947494955,111.78826086753695,105.92764530976686,100.41800343648862,95.25933524770223,89.79592010855836,85.28607670264093,79.97082979386607,75.96730945821854,70.97174806751161,67.287913249932,62.79867492949502,59.26300834228441,55.42259480471635,51.93315495164015,48.79468878305575,45.351475664113934,42.861834278398476,39.566789389825665,37.58347107438017,34.60811170387524,32.94447890649765,30.475442606262693,28.959978039254104,27.139766521888077,25.670528689013885,24.552264540631505,23.129253441891713,22.65981407637828,21.384971208007478,21.421854912764005,20.466697562461103,20.823266785285533,20.374432505252592,20.87916995844602,21.079160461282015,21.63012464860985,22.53206252042949,23.12925344189172,24.680016096580296,25.425375248411523,27.48246097337006,28.547505643269186,30.92427688629565,32.49564462646471,35.02058409986017,37.240776622898174,39.81194283042803,42.73408272244968,45.351475664113934,48.92244033900455,51.688001511037776,55.76528925619836,58.850535946299466,63.24750920952796,66.83907896989903,71.38422046349652,75.62461500673658,80.21598323446841,85.15832514669214,89.79592010855836,95.38708680365102,100.17284999588622,106.27033976124885,111.37578847155204,117.7929637549825,123.40473553555564,129.97007904935506,136.23067561279717,142.84224586073108,149.80478979315677,156.46258677522508,164.07395549051967,170.87992070295698,178.99761248852155,186.12326321902677,194.56064052265933,202.1926143234344,210.77815985743595,219.05895844107997,227.6907307092159,236.6734766618436,245.35147566411393],[241.88911387685917,232.77763718676238,224.23434765138376,215.19274238195368,207.25895115125468,198.4173363846606,190.92974848980325,182.47136589432915,175.24163811776765,167.34467401285585,160.21921252913765,153.00022498797026,145.90895031807548,139.3858628028989,132.36445955367086,126.45087034317383,119.62945759678182,114.16207172212647,107.72389114685441,102.51436539049487,96.6376033057851,91.53234384226899,86.33355832130357,81.26248567161086,76.75960017663628,71.75839894761022,67.86501175731529,63.06380103112523,59.61661717667193,55.19863862160187,52.00931488544437,48.15275482093663,45.06769737762252,41.88911387685915,38.83824324736841,36.35555977259589,33.374560563771844,31.50137539367892,28.720366687690884,27.29338485343961,24.895608318571572,23.7264866026161,21.890128558310384,20.825273135198287,19.666891654636927,18.636223045348213,18.1737415907777,17.212944402155678,17.35996125226479,16.599154566478767,17.192374752429505,16.81480023776349,17.665880542010036,17.84972451790634,18.805071114996263,19.666891654636935,20.656425065550227,22.21414563118174,23.27355046276173,25.440769333072872,26.700164667488878,29.31358687364162,30.956214379177638,33.82749670362619,36.031542699724525,39.007091317016446,41.889113876859156,44.898849307974494,48.47677189380799,51.55637874559003,55.743799636103155,59.02339699072119,63.65702121707594,67.319850742814,72.21133508746459,76.4355831037649,81.43133374125891,86.33355832130357,91.36349577262094,96.96162037865645,102.06142925064051,108.2690521613557,113.56885153617573,120.22267778273256,125.90570932867254,132.81739569352519,139.06184573002758,146.07779838772353,153.00022498797028,160.0503644594896,167.6686910857272,174.7887019779132,183.01652690883046,190.33652830385256,199.01055657061133,206.7137901367534,215.64567852180798,223.9103305785124,232.94648525641037,241.88911387685917],[238.74307125101646,229.47185206279545,220.7688200292926,212.19350086706243,203.52465564738293,195.6273130488971,187.06273412206102,179.72681001413753,171.42009120559726,164.46739926879374,156.60688379609505,149.85418236212755,142.60316519410856,135.92033518080774,129.36521803877957,122.71657483930208,116.83943426101831,110.29505735438423,104.97933526666277,98.6928184783245,93.760328561723,87.9200151092264,83.18751569546089,77.9567005476439,73.2940725545451,68.75915743271895,64.13071625344352,60.27377769536174,55.749602808929694,52.454082741410225,48.18776797327398,45.275480076874516,41.45536864457991,38.74307125101645,35.53245812340147,32.8900321505047,30.375319048880574,27.76707988980716,25.930343351927387,23.426370485697376,22.15105243837992,19.904939690445712,19.01285381424826,17.212944402155674,16.520849028794224,15.330437921381268,14.708213968686518,14.213702887264404,13.625665748393024,13.809131230715275,13.325360384687274,14.070244357571838,13.84433362983965,14.972449773844225,15.19274238195366,16.520849028794235,17.35063994158329,18.748618009090563,20.27430894787046,21.706473829201105,23.910141331725377,25.44657250589939,28.211658498985983,30.005949791455805,33.154267955662405,35.39476258397385,38.743071251016445,41.593064184007545,45.01124427171681,48.55713723069876,52.009504132231385,56.233373654957695,59.79000684933371,64.57529486262233,68.38978817529421,73.55830835970279,77.8190050082163,83.18751569546087,88.05771064865401,93.49609275656528,99.06218773574926,104.53475665748395,110.77882820041222,116.35566341499032,123.1611534484809,128.99584878135482,136.18457098596548,142.46546965468096,149.8541823621276,156.74457933552267,164.20316346363603,171.78946046302195,179.2822314049587,187.54650496808907,195.1435422028691,203.96923425656178,211.82413160963762,221.0330558344503,229.3341565233678,238.74307125101646],[235.34273062031235,226.88387284589163,217.6196115686135,209.30892202456175,200.69348553015254,192.4290227202352,184.51553359480968,176.29729751902673,169.03263317647014,160.96256533105617,154.2042240587695,146.45384173142344,140.01518597720474,132.77112672012865,126.4806391962789,119.8854047220717,113.64114393235641,107.74785682713288,101.54982277155197,96.30536044919738,90.25549462398544,85.51735537190083,79.78717506475678,75.3687213307401,70.144864093866,65.87457859021829,61.299546136213145,57.07548736669984,53.20240228167835,49.02457024629943,45.80030994414687,41.77064613913695,39.052708907254356,35.342730620312345,32.94447890649766,29.74082368982561,27.490740206379915,24.935909772576785,22.732053023265493,20.879169958446028,18.721539943269132,17.517481661318605,15.508019876510701,14.810284664830125,13.120508398090129,12.742458704477459,11.559005508007422,11.329124044763747,10.794495631162654,10.61084090205337,10.778159857435927,10.640731862461049,11.45687560071254,11.467615836106662,12.790082644628106,13.120508398090134,14.762660724679476,15.599409548411467,17.389730105369797,18.875303711970737,20.71185100306349,22.89937197864805,24.782146003875198,27.618491762328695,29.649434017924843,32.99210284664829,35.342730620312345,39.005084967103734,41.86203581103772,45.6725583881981,49.17833401500102,53.0350833262958,57.242806322082366,61.14578236751154,66.0023301461671,70.05347442196523,75.41634527089074,79.78717506475678,85.46973143175019,90.34688429588618,96.17760889324859,101.70358654025357,107.58053787175032,113.80846288773897,119.7316409533701,126.60839075222769,132.6797370482279,140.0628099173554,146.4538417314235,154.15660011861885,161.05395500295694,168.90488162052128,176.45106128772832,184.34821463942717,192.59634167561777,200.53972176145098,209.4366735805105,217.52822189671272,226.93149678604223,235.34273062031235],[233.33792268477168,223.7616890017405,215.53948219044605,206.34648067853487,198.38213398553623,189.75055096418734,181.89047056403209,173.9368641064276,166.11097052009572,158.85326408848204,151.09724192281683,144.44903379588277,136.8930021330536,130.69099734196118,123.51819785025201,117.57405317745535,110.96267217630854,105.1227937963553,99.18938935895282,93.38369779282296,88.14619338141128,82.41037323594814,77.78236712921608,72.24653748658896,68.06473471569855,62.912137244191385,58.9881945915968,54.39701561065196,50.577339250900756,46.66413683370028,42.87864728777244,39.6613448965628,35.945726771301665,33.337922684771655,29.822295062346527,27.66069431165815,24.52829886035302,22.62455822796044,20.053581267217616,18.25410692766844,16.361106530669982,14.595819004944167,13.398718633936554,11.703302528877435,11.11570046254944,9.620274860326324,9.478876129839962,8.366682698736849,8.483144086546302,7.932369146005503,8.153096826658338,8.280298449861897,8.535212944338104,9.358314593532507,9.683100508675414,11.115700462549446,11.640476880528341,13.51928017024401,14.427288759342904,16.563952167354387,18.03337924701561,20.274308947870452,22.421712591276044,24.696829105954254,27.540132775350692,29.8851207106956,33.33792268477166,35.882901122952596,39.78190643287026,42.7101170421712,46.86698247038466,50.35661157024792,54.61774329130476,58.78534895491239,63.08066748979267,67.94417317939107,72.30936313493805,77.78236712921608,82.34754758759905,88.26675491771871,93.2151675472217,99.39223499563722,104.90206611570245,111.18339985696137,117.37120754077095,123.68672809585325,130.57043580565377,136.95582778140272,144.44903379588283,151.03441627446773,158.9738256247895,165.9424402744944,174.139709743112,181.6697428833793,189.97127864484017,198.17928834885183,206.51501092413608,215.4189206541386,223.82451465008953,233.33792268477168],[230.70555555555555,222.07359404063266,212.77439619735944,204.70385317299886,195.66251544802145,187.97520459478085,179.3800702056451,171.8927498552405,163.9071137707844,156.4896648410465,149.19992878258117,141.81666666666663,135.20490717194573,127.92591134887459,121.87557034471601,114.85443463994062,109.1873258069021,102.61239343796834,97.14527510776578,91.17984104351166,85.78259413397576,80.51306009571252,75.14999999999999,70.55844252548113,65.29964872261198,61.26950973865539,56.268576054082054,52.6216692412455,48.0669388925138,44.620022582513236,40.67479053846114,37.29774564912728,34.04841363106603,30.705555555555556,28.13420010123868,24.89560831857157,22.885671354817013,19.904939690445698,18.278234897811153,15.743706569281475,14.31699227948293,12.39196225563287,11.035119386501027,9.805989388641798,8.483333333333333,7.932179899218474,6.713790136753382,6.724055193200846,5.763525549031561,6.157022776599033,5.642696468271373,6.236184198674849,6.331356195026806,6.994715346096991,7.785787368439783,8.48333333333334,9.952381919420496,10.754194177157428,12.7846612538069,13.844333629839642,16.258032877609146,17.763908589483492,20.377598340088998,22.492972356642962,25.176533527915172,27.987807570459974,30.705555555555552,34.19480616184475,37.01682043978367,41.0674895366352,44.14736393286992,48.58126520084146,52.10734293291782,56.74123470372534,60.87681074048136,65.58057393195556,70.41204999470243,75.14999999999998,80.65945262649122,85.50166892463214,91.5725400416857,96.67261645812249,103.12671974629599,108.67299949857443,115.32709328958391,121.48287134654197,128.20683655821824,135.05851464116705,141.8166666666667,149.34632131335985,156.20873963170288,164.2998127689584,171.42009120559723,179.89439651397282,187.4608782864532,196.1351740976648,204.31115417482476,213.05532140670306,221.9272015098539,230.70555555555555],[228.97631381298083,219.9772320866264,211.32912404476374,202.37626905254373,194.37698579355,185.57229903169895,178.07933884297523,169.59433759919207,162.42106292853626,154.44238475502306,147.4172783147362,140.08742492409192,133.1085452179395,126.48063919627889,119.54798622426087,113.56890498546916,106.78442024382018,101.31166207529843,94.84686285171733,89.6937902012635,83.73531404795231,78.73040962786752,73.42075825742525,68.46208057147489,63.854376570016264,58.941925618200244,54.98304639961059,50.21876367816358,46.76620752984389,42.32161032646478,39.18873969621298,35.25046556310382,32.26576316322104,28.97631381298082,26.03783814723243,23.45033616597587,20.558087234361874,18.619410035974234,15.875329334729237,14.44297520661157,12.018580023434474,10.905911413384707,8.987839300477575,8.0233389207968,6.7540915907585966,5.83581794521223,5.268517984157679,4.396471072745706,4.477995894560096,3.7541172135171177,4.341965105601467,3.9377719426263926,4.845305352778646,4.947435260073529,6.003136900594778,6.7540915907586,7.856019965414243,9.308922024561722,10.457077133351756,12.558803975368178,13.855127314527232,16.463177226813585,18.079186084040543,21.0069215143948,23.129253441891716,26.205157102614965,28.976313812980823,32.09844420783851,35.57154828718798,38.739905416180065,42.86183427839846,46.17835963775954,50.8066115702479,54.44282244767689,59.390759898233206,63.5332938459321,68.62939952685743,73.42075825742526,78.56309067248498,84.05639677203645,89.24495592123056,95.38708680365103,100.72381418321409,107.37226813590452,113.02868103353546,119.99682050429381,126.15955647219478,133.27586417332208,140.08742492409198,147.24995935935362,154.76346747910722,161.97222864850326,170.13456155112578,177.49149095089092,186.16014692378332,193.83676184161632,202.82510333257662,211.0080413206796,220.14455104200889,228.97631381298083],[227.76689064302016,218.4006887052342,209.80598938864182,201.11776401460025,192.55725151183123,184.56492616378046,176.0742850816782,168.69145803830705,160.40080745904078,153.46418375151126,145.55676534336493,138.87800175413125,131.5320018365473,124.95750454015696,118.28948118631737,111.74917070375038,105.77704737590169,99.3066083140014,93.9439832908323,87.67353473176802,82.75711304444052,76.86989665649628,72.21133508746456,66.88553719008266,62.33124191389434,57.68342058025676,53.16331211789182,49.211390810245106,44.76115376854686,41.41873076557976,37.1684842267175,34.27226455959203,30.4052501918498,27.766890643020137,24.46129476584022,21.927201509853933,19.29958219641839,16.79967575425546,14.867956466810748,12.437921445314538,11.115700462549452,8.885655943889233,8.009638296965775,6.162825949425556,5.544668420797911,4.259274563820016,3.7453833280357487,3.1379660348022194,2.65826161284132,2.746744345598633,2.3369113443044376,3.0348923817413684,2.825049883283171,3.9692342565617365,4.142623929223541,5.544668420797918,6.279476584022037,7.785787368439793,9.198572095408277,10.739069693649403,12.847754446608741,14.458123465516554,17.176306523155517,18.986666044899327,22.15105243837992,24.34464413124373,27.766890643020133,30.521900826446295,34.04841363106605,37.48140037823657,41.04209999667969,45.17098676984106,48.801557808950875,53.53994288679187,57.37050442873773,62.55509284242031,66.76888655548619,72.21133508746456,76.98654729109275,82.5332621159145,87.98645088328706,93.56735252193225,99.7164413152956,105.36721437460749,112.12580147265044,117.97656503479833,125.18135546868298,131.4153512019508,138.8780017541313,145.6734159779614,153.24033282298527,160.71372361055978,168.314827269407,176.48411808297243,184.15509316248625,192.9338822807313,200.80484786308114,210.0298403171678,218.28403807063765,227.76689064302016],[226.14920048016106,217.72727071048337,208.3975174049105,200.17557813806883,191.45532313717558,183.3032552910006,175.2789003160982,167.16101928374658,159.8146408725886,151.8010261330803,145.0160662124846,137.26031159127214,130.85858384179647,123.54903255642564,117.34729530978598,110.64724232909474,104.5153765031218,98.51122354842141,92.41354453627183,87.08736814531582,81.09395542600959,76.32919752561592,70.59364492460547,66.21211919533184,60.92276993016302,56.741234703725354,52.06138374323617,47.94971993746521,43.96576900296688,39.88829201101929,36.5823176402653,32.609106941161095,29.864551060969443,26.149200480161042,23.787876771089397,20.518729526122627,18.357396319886977,15.69774737959981,13.606285594030869,11.642536679734556,9.585261707988982,8.299489357437034,6.346480678534838,5.6221268185452,3.926978257938817,3.5858565690691924,2.3369113443044376,2.195780158270808,1.5563332381856763,1.4850734728187465,1.5415265787244532,1.5044536271809017,2.238883296830971,2.3060766381308015,3.6019247983431826,3.9269782579388224,5.606058589271209,6.37731538470848,8.256386218876859,9.637141318993756,11.586083573828866,13.662738699936577,15.645867768595053,18.40049945844713,20.487894819948984,23.803945000363374,26.149200480161042,29.848482831695474,32.63994164733474,36.53921450170516,39.940171622024046,43.90931589706117,48.0061730433709,52.00950413223139,56.78433784228553,60.891935223989364,66.22818742460584,70.59364492460547,76.31312929634193,81.1247901321832,87.04426500675567,92.46542414727661,98.45477044251571,104.5718296090275,110.59536271808996,117.39039844834613,123.51819785025205,130.87465207107047,137.2603115912722,144.9999979832106,151.83186083925398,159.77153773402836,167.21289889475136,175.22244721019257,183.35970839690629,191.40344352617083,200.21868127662896,208.36668269873687,217.7433389397573,226.14920048016106],[225.96559920034522,216.42629352205708,208.19871441689625,198.979094256676,191.07120066958305,182.35790357963276,174.59817822290884,166.53370591582748,158.82020729323796,151.45768235514026,143.79041046668507,137.0767103114563,129.5576066533702,123.35022956841138,116.15081142839317,110.26311986150222,103.570024791754,97.83050145523205,91.78623116835276,86.09293456596522,80.75061164806952,75.10354177981642,70.41004364478965,64.91114200690558,60.723966942148756,55.54475082233254,51.67726127564365,47.004368226097405,43.28504690977751,39.2609786431002,35.587884060914696,32.26576316322104,28.638895315169947,25.965599200345224,22.486899582663128,20.319926538108366,17.160912438494176,15.313624912007294,12.66093388266306,10.961814586545195,8.957948340069903,7.305055778086427,6.003136900594788,4.396471072745706,3.7433769781229986,2.2848793806429235,2.138108356290175,0.9992962768780034,1.1722107705931557,0.5397217614509455,0.8608044855350947,0.8771402592618178,1.2444497174803653,1.9627328601907423,2.376269052543685,3.7433769781230035,4.30508140084494,6.178512396694218,7.059902337484057,9.25301885140124,10.640731862461054,12.98201660674721,15.018554400675967,17.40606587909652,20.14455104200893,22.578289254563874,25.965599200345228,28.547505643269208,32.44113865932047,35.34273062031235,39.55604915443152,42.963964185693364,47.32545095018152,51.38219076431231,55.789904262934925,60.548591446049315,65.00253167880633,70.41004364478965,75.01215210791567,80.92598714416893,85.84778112536286,92.08130167968409,97.5094187311479,103.89110751583814,109.96804935017089,116.39596486899552,123.17485407231199,129.64899632527096,137.07671031145637,143.6990207947843,151.6330578512397,158.57505385263553,166.82877642715883,174.27709549882474,182.6789863037169,190.77613015825173,199.22424769727832,208.02333892079682,216.5176831939578,225.96559920034522],[225.24779329328211,216.52084902879426,207.2955890302549,199.17814307044665,190.15287357474324,182.48163095077663,173.83959362619325,166.42621112052245,158.34559228650141,151.03647607367398,143.63383380339727,136.3589044043932,129.65216216010737,122.44710418176999,116.34986024216379,109.34479276666238,103.69375216289784,97.07191685851646,91.6787363730477,85.61831955922864,80.32940536660323,74.94696511652857,69.69223773772651,65.00569751364273,59.82084155550737,55.74379963610316,50.75893418080382,47.128095597241256,42.52646231306193,39.15348384779516,35.11326905417813,31.84455688175475,28.482318651882107,25.247793293282093,22.58145508940029,19.416801151466977,17.359961252264796,14.395297817167464,12.78466125380691,10.203229989829605,8.850453544764855,6.830440771349867,5.581930619128491,4.2398944094578646,3.0255710710598676,2.379434887380084,1.234982969648788,1.1983450906486255,0.25388367575332765,0.6634491325947898,0.10221988881950189,0.7696454639567735,0.7698347107438044,1.5415265787244596,2.21969238925585,3.0255710710598747,4.399636907582106,5.275387010052832,7.25895115125468,8.33469175656141,10.764459233604903,12.223432010031622,14.911059605370925,16.931450872359964,19.72334476054264,22.421712591276044,25.24779329328209,28.642061150006363,31.538013272679084,35.541779434082976,38.63772205959169,43.087691556837214,46.56686635346594,51.27469596900727,55.31528925619836,60.12738516458302,64.84595501551848,69.69223773772651,75.10670761465282,80.02286175752754,86.04682993913347,91.16297458484425,97.63314610229175,103.13252291912255,109.86055455486583,115.92134986225896,122.7536477908457,129.49241966198315,136.35890440439326,143.79357630152148,150.7299324645983,158.77410266640618,165.91044933231902,174.4008228699686,181.92040170700133,190.66863536294673,198.74963269054177,207.60213263933053,216.36110653066999,225.24779329328211],[225.24779329328211,216.36110653067004,207.60213263933053,198.74963269054183,190.66863536294667,181.92040170700133,174.40082286996855,165.91044933231902,158.77410266640624,150.7299324645983,143.79357630152148,136.3589044043932,129.49241966198315,122.75364779084565,115.92134986225896,109.86055455486583,103.13252291912255,97.63314610229175,91.16297458484425,86.04682993913347,80.02286175752756,75.10670761465282,69.69223773772651,64.84595501551848,60.12738516458303,55.31528925619834,51.27469596900727,46.56686635346597,43.087691556837214,38.63772205959171,35.541779434082954,31.538013272679084,28.642061150006345,25.24779329328209,22.421712591276055,19.72334476054264,16.931450872359974,14.911059605370907,12.223432010031622,10.764459233604892,8.33469175656141,7.258951151254687,5.275387010052832,4.399636907582106,3.025571071059864,2.21969238925585,1.5415265787244512,0.7698347107438044,0.7696454639567735,0.10221988881950189,0.6634491325947898,0.25388367575332765,1.1983450906486255,1.2349829696487888,2.379434887380084,3.0255710710598684,4.2398944094578646,5.581930619128491,6.8304407713498545,8.850453544764855,10.203229989829618,12.78466125380691,14.395297817167478,17.35996125226478,19.416801151466977,22.581455089400272,25.247793293282093,28.482318651882135,31.84455688175475,35.113269054178154,39.15348384779514,42.52646231306193,47.12809559724123,50.75893418080382,55.743799636103184,59.82084155550736,65.00569751364273,69.69223773772651,74.94696511652857,80.32940536660321,85.61831955922864,91.6787363730477,97.07191685851646,103.69375216289784,109.34479276666238,116.34986024216379,122.44710418177003,129.65216216010737,136.35890440439326,143.63383380339727,151.03647607367398,158.34559228650136,166.42621112052245,173.83959362619333,182.48163095077663,190.15287357474327,199.1781430704466,207.2955890302549,216.5208490287942,225.24779329328211],[225.96559920034522,216.51768319395785,208.02333892079682,199.22424769727837,190.7761301582517,182.6789863037169,174.27709549882468,166.82877642715883,158.5750538526356,151.6330578512397,143.6990207947843,137.0767103114563,129.64899632527096,123.17485407231196,116.39596486899552,109.96804935017089,103.89110751583814,97.5094187311479,92.08130167968409,85.84778112536286,80.92598714416896,75.01215210791567,70.41004364478965,65.00253167880633,60.54859144604933,55.789904262934904,51.38219076431231,47.325450950181555,42.963964185693364,39.55604915443154,35.34273062031233,32.44113865932047,28.547505643269183,25.965599200345228,22.57828925456389,20.14455104200893,17.406065879096538,15.018554400675956,12.98201660674721,10.640731862461045,9.25301885140124,7.059902337484065,6.178512396694218,4.30508140084494,3.7433769781230004,2.376269052543685,1.9627328601907428,1.2444497174803653,0.8771402592618178,0.8608044855350947,0.5397217614509455,1.1722107705931557,0.9992962768780034,2.138108356290179,2.2848793806429235,3.7433769781230066,4.396471072745706,6.003136900594788,7.305055778086422,8.957948340069903,10.9618145865452,12.66093388266306,15.313624912007306,17.160912438494158,20.319926538108366,22.486899582663117,25.965599200345224,28.638895315169965,32.26576316322104,35.58788406091471,39.26097864310018,43.28504690977751,47.00436822609738,51.67726127564365,55.54475082233256,60.72396694214874,64.91114200690558,70.41004364478965,75.10354177981642,80.7506116480695,86.09293456596522,91.78623116835276,97.83050145523205,103.570024791754,110.26311986150222,116.15081142839317,123.35022956841142,129.5576066533702,137.07671031145637,143.79041046668507,151.45768235514026,158.8202072932379,166.53370591582748,174.59817822290887,182.35790357963276,191.07120066958308,198.97909425667595,208.19871441689625,216.42629352205702,225.96559920034522],[226.14920048016106,217.74333893975736,208.36668269873687,200.21868127662898,191.4034435261708,183.35970839690629,175.2224472101925,167.21289889475136,159.7715377340284,151.83186083925398,144.9999979832106,137.26031159127214,130.87465207107047,123.51819785025201,117.39039844834613,110.59536271808996,104.5718296090275,98.45477044251571,92.46542414727661,87.04426500675567,81.12479013218322,76.31312929634193,70.59364492460547,66.22818742460584,60.89193522398938,56.78433784228551,52.00950413223139,48.00617304337092,43.90931589706117,39.94017162202406,36.53921450170514,32.63994164733474,29.84848283169545,26.149200480161042,23.803945000363388,20.487894819948984,18.40049945844714,15.645867768595036,13.662738699936577,11.58608357382885,9.637141318993756,8.256386218876871,6.37731538470848,5.606058589271209,3.926978257938817,3.6019247983431826,2.3060766381307958,2.238883296830971,1.5044536271809017,1.5415265787244532,1.4850734728187465,1.5563332381856763,2.195780158270808,2.336911344304444,3.5858565690691924,3.9269782579388233,5.6221268185452,6.346480678534838,8.299489357437022,9.585261707988982,11.642536679734572,13.606285594030869,15.697747379599829,18.357396319886966,20.518729526122627,23.787876771089383,26.149200480161042,29.864551060969465,32.609106941161095,36.58231764026532,39.88829201101927,43.96576900296688,47.9497199374652,52.06138374323617,56.74123470372537,60.92276993016301,66.21211919533184,70.59364492460547,76.32919752561592,81.09395542600956,87.08736814531582,92.41354453627183,98.51122354842141,104.5153765031218,110.64724232909474,117.34729530978598,123.54903255642569,130.85858384179647,137.2603115912722,145.0160662124846,151.8010261330803,159.8146408725885,167.16101928374658,175.27890031609826,183.3032552910006,191.4553231371756,200.1755781380688,208.3975174049105,217.7272707104833,226.14920048016106],[227.76689064302013,218.2840380706377,210.0298403171678,200.8048478630812,192.93388228073127,184.15509316248625,176.4841180829724,168.314827269407,160.71372361055984,153.24033282298527,145.6734159779614,138.87800175413122,131.41535120195084,125.18135546868294,117.97656503479833,112.12580147265044,105.36721437460749,99.7164413152956,93.56735252193225,87.98645088328708,82.53326211591452,76.98654729109276,72.21133508746456,66.76888655548619,62.55509284242033,57.37050442873772,53.53994288679188,48.80155780895091,45.17098676984107,41.04209999667971,37.48140037823657,34.04841363106604,30.52190082644629,27.76689064302014,24.344644131243758,22.151052438379928,18.98666604489935,17.176306523155517,14.458123465516557,12.847754446608747,10.739069693649405,9.198572095408295,7.785787368439794,6.27947658402205,5.544668420797912,4.142623929223551,3.9692342565617382,2.825049883283178,3.034892381741378,2.336911344304441,2.7467443455986467,2.6582616128413203,3.137966034802233,3.745383328035748,4.259274563820029,5.544668420797917,6.162825949425567,8.009638296965782,8.885655943889232,11.115700462549462,12.437921445314549,14.867956466810762,16.799675754255468,19.299582196418385,21.92720150985394,24.46129476584022,27.76689064302014,30.405250191849834,34.27226455959204,37.16848422671753,41.418730765579745,44.76115376854687,49.21139081024508,53.16331211789183,57.6834205802568,62.331241913894324,66.88553719008267,72.21133508746456,76.86989665649628,82.75711304444049,87.67353473176802,93.9439832908323,99.3066083140014,105.77704737590169,111.74917070375038,118.28948118631739,124.95750454015699,131.5320018365473,138.87800175413128,145.55676534336493,153.46418375151126,160.40080745904072,168.69145803830705,176.07428508167823,184.56492616378046,192.55725151183125,201.1177640146002,209.80598938864182,218.40068870523413,227.76689064302013],[228.97631381298083,220.14455104200897,211.0080413206796,202.82510333257667,193.8367618416163,186.16014692378332,177.49149095089086,170.13456155112578,161.97222864850332,154.76346747910722,147.24995935935362,140.08742492409192,133.27586417332208,126.15955647219474,119.99682050429381,113.02868103353546,107.37226813590452,100.72381418321409,95.38708680365103,89.24495592123056,84.05639677203646,78.56309067248498,73.42075825742526,68.62939952685743,63.533293845932114,59.390759898233185,54.44282244767689,50.80661157024793,46.17835963775954,42.86183427839848,38.73990541618004,35.57154828718798,32.09844420783848,28.976313812980823,26.205157102614983,23.129253441891716,21.006921514394815,18.07918608404053,16.463177226813585,13.85512731452722,12.558803975368178,10.457077133351769,9.308922024561722,7.856019965414243,6.754091590758599,6.003136900594778,4.9474352600735285,4.845305352778646,3.9377719426263926,4.341965105601467,3.7541172135171177,4.477995894560096,4.396471072745706,5.268517984157688,5.83581794521223,6.754091590758606,8.0233389207968,8.987839300477575,10.905911413384702,12.018580023434474,14.44297520661158,15.875329334729237,18.619410035974248,20.558087234361864,23.45033616597587,26.03783814723242,28.97631381298082,32.26576316322105,35.25046556310382,39.188739696213,42.32161032646476,46.76620752984389,50.218763678163555,54.98304639961059,58.941925618200266,63.85437657001625,68.46208057147489,73.42075825742525,78.73040962786752,83.73531404795229,89.6937902012635,94.84686285171733,101.31166207529843,106.78442024382018,113.56890498546916,119.54798622426087,126.48063919627893,133.1085452179395,140.08742492409198,147.4172783147362,154.44238475502306,162.4210629285362,169.59433759919207,178.0793388429753,185.57229903169895,194.37698579355003,202.37626905254368,211.32912404476374,219.97723208662634,228.97631381298083],[230.70555555555558,221.92720150985397,213.05532140670306,204.31115417482485,196.13517409766476,187.46087828645324,179.8943965139728,171.42009120559726,164.29981276895847,156.2087396317029,149.3463213133599,141.81666666666666,135.05851464116708,128.20683655821819,121.48287134654197,115.3270932895839,108.67299949857443,103.12671974629599,96.67261645812249,91.5725400416857,85.50166892463217,80.65945262649122,75.14999999999998,70.41204999470244,65.58057393195557,60.87681074048137,56.74123470372535,52.10734293291786,48.58126520084147,44.14736393286996,41.06748953663519,37.016820439783686,34.19480616184475,30.70555555555556,27.987807570460006,25.17653352791518,22.492972356642994,20.377598340088987,17.76390858948351,16.258032877609143,13.844333629839657,12.784661253806924,10.754194177157435,9.952381919420512,8.483333333333334,7.7857873684398005,6.994715346096988,6.3313561950268245,6.236184198674855,5.642696468271388,6.157022776599042,5.7635255490315735,6.72405519320086,6.713790136753392,7.93217989921849,8.48333333333334,9.805989388641816,11.03511938650103,12.391962255632873,14.316992279482937,15.743706569281503,18.278234897811164,19.904939690445723,22.885671354817017,24.89560831857158,28.13420010123868,30.705555555555563,34.04841363106608,37.297745649127286,40.67479053846118,44.62002258251322,48.06693889251382,52.621669241245485,56.26857605408207,61.26950973865542,65.29964872261196,70.55844252548113,75.14999999999998,80.51306009571253,85.78259413397573,91.17984104351166,97.14527510776577,102.61239343796834,109.18732580690208,114.85443463994062,121.87557034471601,127.92591134887462,135.2049071719458,141.81666666666672,149.1999287825812,156.48966484104653,163.90711377078438,171.89274985524054,179.3800702056452,187.97520459478088,195.6625154480215,204.70385317299883,212.77439619735947,222.0735940406326,230.70555555555558],[233.33792268477168,223.8245146500896,215.4189206541386,206.51501092413613,198.17928834885183,189.97127864484017,181.66974288337926,174.139709743112,165.94244027449446,158.9738256247895,151.03441627446773,144.44903379588277,136.95582778140272,130.57043580565372,123.68672809585325,117.37120754077095,111.18339985696137,104.90206611570245,99.39223499563722,93.2151675472217,88.26675491771874,82.34754758759905,77.78236712921608,72.30936313493805,67.94417317939109,63.08066748979264,58.78534895491239,54.6177432913048,50.35661157024792,46.866982470384684,42.71011704217118,39.78190643287026,35.882901122952575,33.33792268477166,29.885120710695617,27.540132775350692,24.696829105954272,22.421712591276034,20.274308947870452,18.033379247015603,16.563952167354387,14.427288759342911,13.51928017024401,11.640476880528341,11.115700462549443,9.683100508675414,9.358314593532508,8.535212944338104,8.280298449861897,8.153096826658338,7.932369146005503,8.483144086546302,8.366682698736849,9.478876129839966,9.620274860326324,11.115700462549448,11.703302528877435,13.398718633936554,14.595819004944161,16.361106530669982,18.254106927668442,20.053581267217616,22.62455822796045,24.528298860353,27.66069431165815,29.822295062346512,33.337922684771655,35.945726771301686,39.6613448965628,42.87864728777245,46.66413683370026,50.577339250900756,54.39701561065193,58.9881945915968,62.912137244191406,68.06473471569853,72.24653748658896,77.78236712921608,82.41037323594814,88.14619338141125,93.38369779282296,99.18938935895282,105.1227937963553,110.96267217630854,117.57405317745535,123.51819785025201,130.69099734196124,136.8930021330536,144.44903379588283,151.09724192281683,158.85326408848204,166.11097052009566,173.9368641064276,181.89047056403214,189.75055096418734,198.38213398553623,206.34648067853482,215.53948219044605,223.76168900174045,233.33792268477168],[235.34273062031235,226.9314967860423,217.52822189671272,209.43667358051056,200.53972176145095,192.59634167561777,184.3482146394271,176.45106128772832,168.90488162052137,161.05395500295694,154.15660011861885,146.45384173142344,140.0628099173554,132.67973704822788,126.60839075222769,119.7316409533701,113.80846288773897,107.58053787175032,101.70358654025357,96.17760889324859,90.3468842958862,85.46973143175019,79.78717506475678,75.41634527089074,70.05347442196525,66.00233014616708,61.14578236751154,57.24280632208239,53.0350833262958,49.178334015001035,45.67255838819808,41.86203581103772,39.00508496710371,35.342730620312345,32.9921028466483,29.649434017924843,27.618491762328706,24.78214600387518,22.89937197864805,20.711851003063472,18.875303711970737,17.38973010536981,15.599409548411467,14.762660724679476,13.120508398090129,12.790082644628106,11.467615836106656,11.45687560071254,10.640731862461049,10.778159857435927,10.61084090205337,10.794495631162654,11.329124044763747,11.55900550800743,12.742458704477459,13.120508398090136,14.810284664830125,15.508019876510701,17.51748166131859,18.721539943269132,20.879169958446045,22.732053023265493,24.935909772576807,27.490740206379904,29.74082368982561,32.94447890649764,35.342730620312345,39.05270890725438,41.77064613913695,45.80030994414689,49.02457024629941,53.20240228167835,57.07548736669982,61.299546136213145,65.8745785902183,70.14486409386599,75.3687213307401,79.78717506475678,85.51735537190083,90.25549462398541,96.30536044919738,101.54982277155197,107.74785682713288,113.64114393235641,119.8854047220717,126.4806391962789,132.77112672012868,140.01518597720474,146.4538417314235,154.2042240587695,160.96256533105617,169.03263317647009,176.29729751902673,184.51553359480974,192.4290227202352,200.6934855301526,209.30892202456172,217.6196115686135,226.88387284589157,235.34273062031235],[238.74307125101643,229.3341565233678,221.03305583445027,211.82413160963765,203.96923425656172,195.14354220286907,187.54650496808898,179.28223140495868,171.78946046302198,164.20316346363603,156.74457933552264,149.85418236212752,142.46546965468093,136.18457098596542,128.9958487813548,123.16115344848087,116.3556634149903,110.7788282004122,104.53475665748394,99.06218773574922,93.49609275656529,88.05771064865398,83.18751569546086,77.81900500821628,73.55830835970279,68.38978817529417,64.57529486262231,59.79000684933372,56.23337365495767,52.0095041322314,48.557137230698714,45.0112442717168,41.5930641840075,38.74307125101643,35.394762583973844,33.154267955662384,30.0059497914558,28.211658498985955,25.446572505899375,23.91014133172535,21.706473829201094,20.27430894787044,18.748618009090553,17.350639941583264,16.52084902879421,15.19274238195364,14.972449773844202,13.84433362983963,14.070244357571818,13.32536038468726,13.809131230715252,13.625665748393011,14.21370288726438,14.708213968686508,15.330437921381245,16.520849028794217,17.212944402155653,19.012853814248245,19.904939690445683,22.1510524383799,23.42637048569737,25.930343351927366,27.767079889807164,30.37531904888053,32.89003215050469,35.53245812340143,38.74307125101643,41.45536864457992,45.275480076874494,48.18776797327398,52.45408274141019,55.74960280892968,60.27377769536168,64.13071625344351,68.75915743271894,73.29407255454508,77.95670054764389,83.18751569546086,87.92001510922637,93.76032856172296,98.69281847832447,104.97933526666274,110.29505735438421,116.8394342610183,122.71657483930207,129.36521803877955,135.92033518080777,142.60316519410853,149.8541823621276,156.60688379609502,164.4673992687937,171.42009120559717,179.7268100141375,187.06273412206104,195.62731304889707,203.52465564738293,212.19350086706234,220.76882002929258,229.47185206279536,238.74307125101643],[241.88911387685917,232.94648525641043,223.9103305785124,215.64567852180807,206.71379013675337,199.01055657061133,190.3365283038525,183.01652690883046,174.7887019779133,167.6686910857272,160.0503644594896,153.00022498797026,146.07779838772353,139.06184573002756,132.81739569352519,125.90570932867254,120.22267778273256,113.56885153617573,108.2690521613557,102.06142925064051,96.96162037865646,91.36349577262094,86.33355832130357,81.43133374125891,76.43558310376493,72.21133508746458,67.319850742814,63.65702121707597,59.02339699072119,55.74379963610318,51.55637874559001,48.47677189380799,44.898849307974466,41.889113876859156,39.00709131701647,36.031542699724525,33.8274967036262,30.956214379177624,29.31358687364162,26.70016466748887,25.440769333072872,23.273550462761744,22.21414563118174,20.656425065550227,19.66689165463693,18.805071114996263,17.84972451790634,17.665880542010036,16.81480023776349,17.192374752429505,16.599154566478767,17.35996125226479,17.212944402155678,18.173741590777706,18.636223045348213,19.666891654636938,20.825273135198287,21.890128558310384,23.72648660261609,24.895608318571572,27.293384853439612,28.720366687690884,31.501375393678938,33.37456056377183,36.35555977259589,38.8382432473684,41.88911387685915,45.067697377622544,48.15275482093663,52.00931488544439,55.19863862160185,59.61661717667193,63.0638010311252,67.86501175731529,71.75839894761023,76.75960017663625,81.26248567161086,86.33355832130357,91.53234384226899,96.63760330578508,102.51436539049487,107.72389114685441,114.16207172212647,119.62945759678182,126.45087034317383,132.36445955367086,139.38586280289894,145.90895031807548,153.0002249879703,160.21921252913765,167.34467401285585,175.2416381177676,182.47136589432915,190.9297484898033,198.4173363846606,207.2589511512547,215.19274238195365,224.23434765138376,232.77763718676232,241.88911387685917],[245.35147566411396,236.6734766618437,227.69073070921593,219.05895844108005,210.77815985743592,202.19261432343444,194.5606405226593,186.1232632190268,178.99761248852164,170.879920702957,164.0739554905197,156.46258677522505,149.8047897931568,142.84224586073108,136.2306756127972,129.9700790493551,123.40473553555566,117.79296375498251,111.37578847155206,106.27033976124886,100.17284999588628,95.38708680365103,89.79592010855838,85.15832514669216,80.21598323446844,75.62461500673659,71.38422046349653,66.83907896989908,63.247509209527976,58.85053594629951,55.76528925619836,51.68800151103779,48.92244033900456,45.35147566411394,42.73408272244972,39.81194283042804,37.24077662289821,35.02058409986017,32.49564462646474,30.92427688629565,28.54750564326921,27.482460973370088,25.42537524841154,24.68001609658032,23.129253441891727,22.53206252042952,21.630124648609858,21.079160461282044,20.879169958446038,20.374432505252617,20.82326678528555,20.46669756246113,21.421854912764026,21.384971208007503,22.659814076378304,23.129253441891734,24.552264540631533,25.6705286890139,27.139766521888095,28.959978039254118,30.47544260626274,32.94447890649767,34.60811170387528,37.58347107438017,39.56678938982568,42.86183427839849,45.35147566411395,48.7946887830558,51.933154951640155,55.4225948047164,59.26300834228441,62.79867492949504,67.28791324993199,70.97174806751163,75.96730945821858,79.97082979386607,85.28607670264094,89.79592010855838,95.25933524770225,100.41800343648862,105.92764530976689,111.78826086753696,117.34412947494957,123.8535698155886,129.5576066533702,136.5733700642792,142.59709242012875,149.93254134910558,156.4625867752251,163.94620393457092,171.12507414355937,178.65491803703958,186.5357356150117,194.11180624262641,202.64144860346738,210.36568746145105,219.401652892562,227.44557726861356,236.8012282177924,245.35147566411396],[249.88291653388038,240.32260556375064,231.99094941253344,222.99205693296605,214.7646670745922,206.44375115876917,198.25054811421873,190.62553222438652,182.50220060050282,175.4866830153502,167.56334189430243,160.99402764499146,153.45391869506375,147.14246456404862,140.1637741046832,133.95658626651138,127.65587237089038,121.48287134654194,115.87805747691178,109.77492787323004,104.77961230827947,98.87647320743376,94.32736097832479,88.80745404859913,84.51620193778597,79.55771349862258,75.3707276806528,71.09021580523381,66.93741680108741,63.35280495165924,59.269877368179536,56.294763823430976,52.411826742787284,49.88291653388036,46.38321162435669,44.112161533745564,41.1738751147842,39.00709131701645,36.74678146179946,34.61418447785508,33.04977464862893,30.987049085351263,30.032137560804728,28.169402500363052,27.66069431165814,26.181191422336482,25.930343351927384,25.012258953168043,24.86567717560231,24.62556934058734,24.513174376844987,24.96896656782085,24.9264430247452,25.99173352040069,26.149200480161035,27.66069431165815,28.201393442538503,29.970747392331425,31.0728650137741,32.94648525641039,34.726579441597444,36.6343864980571,39.110380709235,41.08805918636135,44.173551702218866,46.35122068218122,49.88291653388036,52.44381768496276,56.23337365495767,59.35569329660239,63.24951555944068,67.04981176482976,70.97782084149141,75.47401707287135,79.47189757019976,84.57759210625926,88.77546310642367,94.32736097832479,98.90846414960922,104.71822213980612,109.86074380165289,115.77476808469324,121.59526631028429,127.54347740714803,134.05987565872994,140.07795817626035,147.20385473252193,153.4219277528883,160.99402764499152,167.59533283647787,175.42529284687689,182.58801652892558,190.522242832168,198.36294307796115,206.3313561950268,214.86795646681077,222.90624100454315,232.05233958100675,240.29061462157514,249.88291653388038],[253.7294007887277,245.29154830614857,235.88290112295263,227.8282808114935,218.86583696413916,211.01120715551602,202.65826161284136,194.87350322488493,187.2164577082011,179.465886134068,172.4868171811285,164.8405118998388,158.42286143746168,151.03441627446776,144.99999798321065,138.05775615605833,132.22332836763724,125.89058484516455,120.12602847741015,114.48918498092831,108.75881542699726,103.79994849425982,98.17384523317212,93.77639679099703,88.40815364820513,84.39393737715002,79.47189757019976,75.65767180198065,71.34513029971002,67.6007759521576,63.98413447587781,60.273966942148775,57.335302029613345,53.72940078872769,51.35215436675459,48.00411324416473,46.01009899331164,43.1082612065634,41.31423745854631,39.021897976477696,37.29774564912731,35.70130619304953,34.01134067952252,33.0928777871891,31.50717856650547,31.150134164734382,29.82229506234655,29.848482831695474,28.966847065149263,29.193025337334188,28.920887875467596,29.216937568319228,29.640700132443474,29.970936639118484,31.072675766987093,31.507178566505477,33.1703361849364,33.86269910275059,35.909088892301526,37.04765514595734,39.2940354383443,41.04209999667972,43.35835170973338,45.80231629405963,48.15275482093666,51.27469596900728,53.72940078872769,57.412760427360666,60.12532536537684,64.19191717512983,67.35068544898763,71.61726776157661,75.38553434011403,79.72198807336972,84.18615467789803,88.55679522497705,93.69893839324973,98.17384523317212,103.87740689200712,108.6101738502253,114.69696768018031,119.87593797424019,126.16272230703115,131.95119090577066,138.30784665922832,144.79221528395865,151.18305785123974,158.3454030397144,164.84051189983884,172.5642755788758,179.31724455729608,187.42424040745303,194.62341272171494,202.93039907470802,210.73906969364944,219.11592746730918,227.62049811224145,236.03154269972455,245.21408990840123,253.7294007887277],[258.8956988840659,249.57553443362727,241.208941716415,232.03694549634542,224.17667584940313,215.3243651474014,207.78378101852704,199.4377933867953,192.04537748828994,184.3482146394271,177.0020254750561,170.00680999517695,162.70684756494038,156.36045686793014,149.20866266806257,143.3685950413223,136.53648635952266,131.01610425085025,124.69031863932055,119.31810476101717,113.64114393235639,108.31515678818742,103.34014332851027,98.06038291847574,93.73419424166752,88.60260206200195,84.7827364554637,79.97082979386606,76.47064970539572,72.16506611406801,68.81305425596665,65.1562954475079,61.850510323540945,58.895698884065844,55.636140494233295,53.33015383762713,50.218763678163576,48.41910009182734,45.6273954504317,44.14741738216339,41.86203581103771,40.530225973138386,38.893669184881645,37.60808608111671,36.67347666184362,35.434120292213095,35.148335655808935,34.05714751654741,34.27768595041321,33.50618332921958,34.046407281153286,33.78122773022963,34.46961991253232,34.8532651444776,35.58788406091469,36.67347666184362,37.4543223124151,39.18873969621298,40.11775357715346,42.358494031221284,43.60719343022969,46.1676194023654,47.92264187164377,50.63123607414847,53.03508332629579,55.789904262934876,58.895698884065844,61.69674655483937,65.45136595883923,68.40058185998177,72.66152433425157,75.93042575346202,80.51105374579973,84.28627823528012,89.01507445798688,93.43912373033618,98.21414668717733,103.34014332851028,108.16139301948583,113.93621444368769,118.90563236503225,125.18677685950414,130.47588029891654,137.07671031145637,142.8721368211387,149.62113506404748,156.06538635659885,162.86061133364197,170.006809995177,176.8482617063545,184.64328515075846,191.63290509230495,199.9342516069789,207.24355706659338,215.86458909933512,223.68021762921956,232.44941789233027,240.9138712050837,249.7292982023288,258.8956988840659],[263.98413447587785,254.9285996436177,246.00077768263014,237.64114287636085,228.78319233604,221.0330558344503,212.37509579696547,205.07116263121742,196.7964347648526,189.75036171740035,182.03705234159779,175.0952455869889,168.05991277493078,161.1522928341453,154.812860048078,147.97511152795917,142.2451770465715,135.6074190292887,130.32368788374268,124.06916203757984,119.0432910103296,113.35018365472912,108.42857892032225,103.41344812846616,98.52603020788266,94.20679944201736,89.38925294210058,85.67952048091493,81.06196448383415,77.79843535849012,73.56411153252932,70.55844252548111,66.88553719008264,63.984134475877816,60.989205704223714,58.121989803842254,55.822961058179,53.025616578464216,51.336086137480585,48.73873216060182,47.49540505545981,45.281283249701055,44.295816262854856,42.6431129476584,41.761912253655595,40.78718550220351,39.94017162202407,39.66134489656283,38.884202437050085,39.21487401626847,38.63772205959172,39.41459697465174,39.22067718909499,40.25541222245082,40.622910927456395,41.761912253655595,42.807387522405534,43.98057566242811,45.721950957168886,46.96501051785816,49.31588411727857,50.758934180803834,53.55601111606588,55.38229335071115,58.437230404269,60.82493112947658,63.984134475877816,67.0498117648298,70.24320192505436,74.00477923999718,77.26804082088844,81.63911644051089,85.10236852423816,89.91964747970223,93.76613173454956,98.84127080830939,103.24917355371903,108.42857892032224,113.51445822947625,118.72805040990282,124.50982974504768,129.79329334614104,136.18457098596545,141.66802508989477,148.5055060655608,154.37219234061016,161.4675334345721,167.89563820018367,175.09524558698897,182.20132691634493,189.4351211169736,197.23710247232037,204.54076809361578,212.95224775364227,220.45590387777355,229.31358687364167,237.20047516889295,246.31601828305688,254.7643250688705,263.98413447587785],[269.1872327400804,260.59798401502013,251.51041955590833,242.99104225151478,234.59937781839383,226.11418732782366,218.40049945844711,210.01957526072033,202.86730588190608,194.7442418024751,187.97520459478082,180.29834385119148,173.7292971463332,166.66193470742348,160.16275942323193,153.791297010313,147.3263085399449,141.63282269077035,135.27210051324556,130.14003315463333,124.03717109540435,119.28833590791214,113.63167718452478,109.08283249986859,104.03567208116085,99.55669881717134,95.20543842445446,90.76065197428831,87.08736814531579,82.74684798799302,79.63498264958282,75.55232261055586,72.82368944326566,69.18723274008035,66.65859007562615,63.63163167712046,61.17286043333295,58.84180206081809,56.417217630853955,54.764135822083475,52.44381768496272,51.35215436675455,49.289696347929606,48.58126520084143,46.96501051785813,46.45656987360595,45.44981349530227,45.011244271716784,44.70038791940396,44.29600550964184,44.66312572107337,44.36300960415464,45.291548306148485,45.249292307525565,46.56106318063941,46.965010517858126,48.47677189380796,49.490217535706314,51.07185033232283,52.781196000212034,54.39701561065195,56.78433784228549,58.504423745568786,61.45316446776464,63.43111048934375,66.76308338265959,69.18723274008035,72.71919613623221,75.75284379833258,79.35467861515114,83.08422630324233,86.72024793388427,91.12777218571982,94.86806010920513,99.83700285160305,103.83515089338414,109.18732580690205,113.63167718452479,119.18384260087868,124.23769228318103,129.85972912020162,135.60947882849487,141.2657024793388,147.69342875137644,153.4539186950637,160.44306345766364,166.4614135196468,173.83379045336667,180.29834385119153,187.87071128774735,194.9447629902518,202.5870018474743,210.35695357596967,218.03337924701563,226.4813075392552,234.26199950314458,243.27134628594644,251.30989836813163,260.7024773220535,269.1872327400804],[275.6,266.0130703815612,257.7378673362498,248.65726078808092,240.5302259731384,232.0984442078385,224.0176361270304,216.2878017307142,208.2532203840405,201.17221077059318,193.28579765428844,186.7111111111111,179.14438351287433,172.8893824877649,165.82897795979807,159.72214516505758,153.31056541995972,147.24995935935365,141.54032698323945,135.52594765676776,130.46514006352245,124.5989289674198,120.04444444444442,114.4979188664097,110.26311986150225,105.22291735373743,101.136286579199,96.74490885430315,92.70450481389909,89.01507445798688,85.02089715171722,81.98029157867396,78.13428250277332,75.6,72.07367644216725,69.85907945746185,66.83907896989906,64.77265021556263,62.40147451086879,60.381272490666774,58.71204415495657,56.73806886888896,55.7176653160477,53.89185826034907,53.37777777777777,51.871656240147054,51.67726127564366,50.6774628082829,50.6312360741485,50.28026238965667,50.28026238965667,50.6312360741485,50.6774628082829,51.67726127564366,51.871656240147054,53.37777777777777,53.89185826034907,55.7176653160477,56.73806886888895,58.71204415495657,60.38127249066678,62.40147451086879,64.77265021556265,66.83907896989905,69.85907945746185,72.07367644216724,75.6,78.13428250277335,81.98029157867396,85.02089715171725,89.01507445798686,92.70450481389909,96.7449088543031,101.136286579199,105.22291735373746,110.26311986150223,114.4979188664097,120.04444444444442,124.5989289674198,130.46514006352243,135.52594765676776,141.54032698323945,147.24995935935365,153.31056541995972,159.72214516505758,165.82897795979807,172.88938248776492,179.14438351287433,186.71111111111117,193.28579765428844,201.17221077059318,208.25322038404045,216.28780173071416,224.01763612703047,232.0984442078385,240.5302259731384,248.65726078808086,257.73786733624974,266.0130703815612,275.6],[281.30844486129257,272.8236894432658,263.43111048934384,255.39255840715867,246.3832116243567,238.60251966046738,230.15459136822776,222.47816569718182,214.70821396868655,207.06597511146398,199.99192340895954,192.41955597240366,185.95500257457886,178.58262564085896,172.56427557887582,165.57513081627587,159.81464087258863,153.386914600551,147.73069094970705,141.9809412414138,136.35890440439326,131.3050547220909,125.75288930573697,121.30853792811423,115.95636301459633,111.95821497281521,106.98927223041731,103.24898430693202,98.84146005509645,95.20543842445453,91.47589073636331,87.87405591954476,84.84040825744438,81.30844486129253,78.8842955038718,75.55232261055593,73.57437658897683,70.62563586678097,68.90554996349766,66.51822773186412,64.90240812142422,63.193062453535035,61.611429656918496,60.59798401502014,59.086222639070314,58.68227530185159,57.370504428737746,57.412760427360666,56.48422172536682,56.784337842285545,56.41721763085402,56.82160004061614,57.13245639292897,57.571025616514454,58.57778199481813,59.086222639070314,60.70247732205361,61.41090846914179,63.473366487966715,64.5650298061749,66.88534794329566,68.53842975206614,70.96301418203029,73.29407255454512,75.75284379833265,78.77980219683832,81.30844486129253,84.94490156447786,87.67353473176804,91.75619477079502,94.8680601092052,99.20858026652797,102.88186409550046,107.32665054566664,111.67791093838353,116.15688420237302,121.20404462108077,125.75288930573696,131.40954802912435,136.1583832166165,142.2612452758455,147.39331263445774,153.75403481198254,159.44752066115709,165.91250913152518,172.28397154444414,178.7831468286357,185.8505092675454,192.4195559724037,200.096416715993,206.86545392368728,214.9885180031182,222.1407873819325,230.52171157965935,238.23539944903584,246.7205899396061,255.1122543727269,263.63163167712054,272.71919613623226,281.30844486129257],[288.22655871830204,279.00674931129475,270.5584425254811,261.4428994113172,253.55601111606586,244.69832812019777,237.19467199606643,228.78319233604,221.47952671474465,213.6775453593978,206.44375115876912,199.33766982941313,192.1380624426079,185.70995767699625,178.61461658303438,172.74793030798503,165.91044933231902,160.42699522838964,154.03571758856526,148.7522539874719,142.97047465232708,137.75688247190047,132.67100316274647,127.49159779614325,123.08369505073362,118.00855597697375,114.16207172212646,109.34479276666241,105.88154068293511,101.5104650633127,98.24720348242137,94.48562616747859,91.29223600725399,88.22655871830204,85.0673553719008,82.67965464669322,79.62471759313539,77.7984353584901,75.00135842322806,73.55830835970278,71.20743476028238,69.9643751995931,68.22299990485233,67.04981176482976,66.00433649607982,64.86533516988061,64.49783646487504,63.46310143151921,63.65702121707596,62.88014630201594,63.45729825869269,63.126626679474306,63.90376913898705,64.18259586444829,65.02960974462773,66.00433649607982,66.88553719008263,68.53824050527908,69.52370749212525,71.73782929788403,72.98115640302605,75.5785103799048,77.26804082088846,80.0653853006032,82.36441404626648,85.23162994664791,88.22655871830204,91.1279614325069,94.80086676790533,97.80653577495357,102.04085960091432,105.30438872625837,109.92194472333912,113.6316771845248,118.4492236844416,122.76845445030686,127.65587237089038,132.6710031627465,137.59260789715336,143.28571525275382,148.31158628000406,154.5661121261669,159.8498432717129,166.48760128899576,172.2175357703834,179.05528429050221,185.39471707656955,192.302337017355,199.3376698294132,206.279476584022,213.99278595982457,221.03885900727676,229.31358687364164,236.61752003938975,245.27548007687452,253.02561657846422,261.88356711878504,270.2432019250544,279.17102388604184,288.22655871830204],[295.25933524770227,286.09293456596527,277.2775075687201,268.81305425596673,260.043853992856,252.22822546297152,243.60719343022973,236.2978879706153,227.9965414559414,221.00692151439486,213.2118980699909,206.37044635881335,199.22424769727837,192.42902272023522,185.9847714276839,179.2357731847751,173.44034667509274,166.83951666255297,161.55041322314057,155.26926872866866,150.29985080732413,144.52502938312225,139.7037796921467,134.57778305081374,129.80276009397258,125.37871082162326,120.64991459891652,116.87469010943616,112.29406211709842,109.025160697888,104.76421822361814,101.81500232247564,98.06038291847575,95.25933524770224,92.15354062657129,89.39871968993218,86.99487243778489,84.28627823528016,82.5312557660018,79.97082979386609,78.72213039485769,76.48138994078988,75.55237605984938,73.81795867605152,73.03711302548001,71.95152042455109,71.216901508114,70.83325627616873,70.14486409386602,70.4100436447897,69.869819692856,70.6413223140496,70.42078388018382,71.51197201944534,71.7977566558495,73.03711302548004,73.97172244475313,75.25730554851805,76.89386233677479,78.2256721746741,80.5110537457998,81.99103181406811,84.78273645546376,86.58240004179997,89.69379020126352,91.99977685786969,95.25933524770224,98.21414668717738,101.5199318111443,105.17669061960308,108.52870247770439,112.83428606903212,116.33446615750242,121.14637281910011,124.96623842563838,130.09783060530393,134.42401928211214,139.70377969214667,144.67879315182384,150.00478029599276,155.6817411246536,161.05395500295697,167.37974061448668,172.90012272315903,179.7322314049587,185.57229903169898,192.7240932315666,199.07048392857678,206.3704463588134,213.3656618386925,220.71185100306352,228.4090138519263,235.8014297504317,244.1474173821635,251.6880015110378,260.54031221303956,268.4005818599818,277.57257808005147,285.93917079726367,295.25933524770227],[302.2142492735761,293.6989383932497,284.516391184573,276.1053465970899,267.60077595215756,259.22391817849785,251.41524755955638,243.10826120656336,235.90908889230153,227.8020930421445,221.0491240637242,213.3253603846872,206.8302515245628,199.66790633608812,193.2770637688071,186.79269514407676,180.4360393906191,174.6475707918796,168.36078645908864,163.18181616502878,157.09502233507376,152.36225537685556,146.65869371802057,142.18378687809818,137.0416437098255,132.67100316274647,128.20683655821816,123.8703828249625,120.10211624642506,115.83553393383609,112.67676565997824,108.61017385022528,105.89760891220908,102.21424927357613,99.75954445385574,96.6376033057851,94.28716477890808,91.8432001945818,89.52694848152815,87.77888392319272,85.53250363080578,84.39393737714998,82.34754758759902,81.65518466978484,79.9920270513539,79.55752425183553,78.45578512396692,78.12554861729191,77.70178605316767,77.40573636031604,77.67787382218263,77.4516955499977,78.33333131654392,78.30714354719498,79.63498264958282,79.99202705135392,81.57772627203755,82.49618916437096,84.18615467789796,85.78259413397575,87.50674646132614,89.79908594339474,91.59310969141185,94.49494747816007,96.48896172901317,99.837002851603,102.21424927357613,105.8201505144618,108.75881542699722,112.46898296072627,116.08562443700605,119.82997878455846,124.14252028682907,127.9567460550482,132.87878586199847,136.89300213305356,142.26124527584548,146.6586937180206,152.28479697910825,157.2436639118457,162.97403346577678,168.61087696225863,174.375433330013,180.70817685248568,186.54260464090677,193.4848464680591,199.51926475931626,206.90770992231012,213.32536038468726,220.9716656659769,227.9507346189164,235.70130619304948,243.35835170973334,251.14311009768986,259.4960556403645,267.35068544898763,276.3131292963419,284.3677496078011,293.77639679099696,302.2142492735761],[310.48897713994097,300.89667522763585,292.6584001870674,283.51230161060386,275.4740170728714,266.9374168010874,258.9690036840217,251.1283034382286,243.19407713498626,236.0313534529375,228.2013934425385,221.60008825105209,214.02798835894893,207.8099153385825,200.684018782321,194.66593626479053,188.14953801320868,182.20132691634493,176.38082869075387,170.4668044077135,165.3242827458668,159.51452475566984,154.93342158438543,149.38152371248432,145.1836527123199,140.07795817626035,136.08007767893199,131.5838814475521,127.65587237089038,123.85557616550132,119.96175390266299,116.8394342610183,113.04987829102336,110.48897713994099,106.95728128824184,104.77961230827948,101.69411979242199,99.71644131529561,97.24044710411772,95.33264004765805,93.552545862471,91.67892561983471,90.57680799839204,88.80745404859913,88.26675491771876,86.75526108622165,86.5977941264613,85.53250363080582,85.57502717388147,85.11923498290561,85.23162994664796,85.47173778166292,85.61831955922865,86.536403957988,86.7872520283971,88.26675491771877,88.77546310642367,90.63819816686535,91.59310969141187,93.65583525468955,95.22024508391571,97.35284206786007,99.61315192307708,101.7799357208448,104.71822213980619,106.9892722304173,110.48897713994099,113.01788734884794,116.90082442949159,119.87593797424017,123.95886555771982,127.54347740714803,131.6962764112944,135.97678828671346,140.16377410468323,145.1222625438466,149.41351465465976,154.93342158438543,159.4825338134944,165.38567291434006,170.38098847929066,176.48411808297243,182.08893195260256,188.26193297695104,194.562646872572,200.76983471074382,207.74852517010925,214.05997930112437,221.60008825105214,228.16940250036305,236.09274362141082,243.10826120656338,251.23159283044714,258.8566087202794,267.04981176482977,275.3707276806528,283.59811753902665,292.59701001859406,300.9286661698112,310.48897713994097],[318.0787483913866,309.52850094506516,300.1728499958862,292.1289256198347,283.0929601887237,275.36872133074,266.83907896989905,259.2630083422844,251.38219076431233,243.85234687083204,236.67347666184358,229.1898595024977,222.65981407637824,215.32436514740135,209.30064279155187,202.28487938064285,196.5808425428613,190.07140220222223,184.51553359480963,178.65491803703955,173.1452761637613,167.98660797497493,162.52319283583105,158.01334942991363,152.69810252113876,148.69458218549124,143.6990207947843,140.0151859772047,135.52594765676773,131.99028106955708,128.14986753198903,124.66042767891281,121.52196151032844,118.07874839138661,115.58910700567115,112.29406211709833,110.31074380165285,107.33538443114793,105.67175163377033,103.20271533353538,101.68725076652677,99.86703924916077,98.39780141628655,97.2795372679042,95.85652616916438,95.38708680365096,94.11224393528015,94.14912764003668,93.19397028973378,93.55053951255822,93.10170523252528,93.60644268571869,93.8064331885547,94.35739737588251,95.25933524770218,95.8565261691644,97.40728882385298,98.15264797568419,100.20973370064273,101.27477837054187,103.65154961356832,105.2229173537374,107.74785682713285,109.96804935017086,112.5392155577007,115.46135544972238,118.07874839138661,121.64971306627724,124.41527423831045,128.49256198347106,131.57780867357215,135.97478193680067,139.5663516971717,144.1114931907692,148.35188773400927,152.9432559617411,157.88559787396485,162.52319283583105,168.1143595309237,172.90012272315892,178.99761248852155,184.10306119882472,190.52023648225517,196.13200826282835,202.69735177662776,208.9579483400699,215.56951858800377,222.53206252042946,229.18985950249777,236.80122821779236,243.60719343022967,251.72488521579425,258.8505359462995,267.287913249932,274.91988705070713,283.5054325847087,291.7862311683527,300.41800343648856,309.4007493891163,318.0787483913866],[326.73759872534396,317.6261220352472,309.08283249986863,300.04122723043855,292.10743599973955,283.26582123314546,275.7782333382881,267.31985074281397,260.09012296625247,252.1931588613407,245.0676973776225,237.8487098364551,230.75743516656033,224.23434765138373,217.21294440215567,211.2993551916587,204.47794244526668,199.0105565706113,192.57237599533926,187.36285023897975,181.48608815426996,176.38082869075384,171.18204316978844,166.11097052009572,161.60808502512114,156.60688379609508,152.71349660580015,147.9122858796101,144.4651020251568,140.04712347008672,136.8577997339292,133.0012396694215,129.91618222610737,126.73759872534399,123.68672809585324,121.20404462108073,118.22304541225668,116.34986024216376,113.56885153617571,112.14186970192443,109.7440931670564,108.57497145110094,106.73861340679522,105.67375798368312,104.51537650312176,103.48470789383305,103.02222643926254,102.06142925064051,102.20844610074963,101.4476394149636,102.04085960091435,101.66328508624832,102.51436539049487,102.69820936639117,103.6535559634811,104.51537650312177,105.50490991403507,107.06263047966658,108.12203531124656,110.28925418155771,111.54864951597371,114.16207172212646,115.80469922766248,118.67598155211103,120.88002754820936,123.85557616550129,126.73759872534399,129.74733415645935,133.32525674229288,136.40486359407487,140.592284484588,143.87188183920605,148.50550606556078,152.16833559129884,157.05981993594946,161.28406795224976,166.27981858974377,171.18204316978844,176.2119806211058,181.8101052271413,186.9099140991254,193.11753700984056,198.41733638466056,205.07116263121742,210.7541941771574,217.66588054201003,223.91033057851243,230.92628323620838,237.84870983645513,244.89884930797444,252.51717593421205,259.6371868263981,267.8650117573153,275.18501315233743,283.8590414190962,291.5622749852382,300.4941633702928,308.7588154269973,317.7949701048952,326.73759872534396],[335.7127682207135,326.4415490324924,317.7385169989896,309.1631978367594,300.49435261708,292.59701001859406,284.032431091758,276.6965069838345,268.38978817529426,261.43709623849077,253.57658076579204,246.82387933182454,239.57286216380555,232.89003215050477,226.33491500847657,219.6862718089991,213.8091312307153,207.26475432408125,201.94903223635978,195.6625154480215,190.73002553142,184.8897120789234,180.1572126651579,174.92639751734092,170.26376952424212,165.72885440241595,161.10041322314052,157.24347466505873,152.7192997786267,149.42377971110724,145.157464942971,142.2451770465715,138.42506561427692,135.71276822071346,132.50215509309848,129.85972912020173,127.34501601857757,124.73677685950418,122.90004032162439,120.39606745539437,119.12074940807692,116.87463666014271,115.98255078394526,114.18264137185268,113.49054599849123,112.30013489107827,111.67791093838352,111.1833998569614,110.59536271809002,110.77882820041228,110.29505735438428,111.03994132726883,110.81403059953665,111.94214674354123,112.16243935165066,113.49054599849124,114.3203369112803,115.71831497878757,117.24400591756745,118.67617079889811,120.87983830142238,122.4162694755964,125.181355468683,126.9756467611528,130.12396492535942,132.36445955367088,135.71276822071346,138.56276115370457,141.98094124141383,145.52683420039577,148.9792011019284,153.20307062465469,156.75970381903073,161.54499183231934,165.35948514499123,170.5280053293998,174.7887019779133,180.15721266515789,185.02740761835102,190.4657897262623,196.03188470544626,201.504453627181,207.74852517010927,213.32536038468731,220.1308504181779,225.96554575105182,233.15426795566248,239.43516662437793,246.82387933182463,253.71427630521967,261.172860433333,268.759157432719,276.25192837465573,284.5162019377861,292.11323917256607,300.9389312262588,308.7938285793347,318.00275280414735,326.3038534930648,335.7127682207135],[344.4336397112214,335.97478193680064,326.7105206595226,318.3998311154708,309.78439462106167,301.51993181114426,293.6064426857187,285.38820660993576,278.1235422673792,270.05347442196523,263.2951331496786,255.5447508223325,249.1060950681138,241.8620358110377,235.571548287188,228.97631381298078,222.73205302326548,216.838765918042,210.64073186246105,205.39626954010646,199.3464037148945,194.60826446280993,188.87808415566585,184.45963042164917,179.23577318477507,174.96548768112737,170.3904552271222,166.1663964576089,162.29331137258743,158.1154793372085,154.89121903505594,150.861555230046,148.14361799816345,144.43363971122142,142.03538799740673,138.83173278073468,136.58164929728898,134.02681886348586,131.82296211417457,129.97007904935512,127.81244903417819,126.60839075222766,124.59892896741977,123.90119375573919,122.21141748899919,121.83336779538652,120.64991459891648,120.42003313567281,119.88540472207171,119.70174999296243,119.86906894834499,119.7316409533701,120.5477846916216,120.55852492701572,121.88099173553717,122.2114174889992,123.85356981558854,124.69031863932052,126.48063919627886,127.9662128028798,129.80276009397255,131.99028106955714,133.87305509478426,136.70940085323778,138.7403431088339,142.0830119375574,144.43363971122142,148.09599405801282,150.95294490194678,154.7634674791072,158.26924310591008,162.12599241720486,166.33371541299147,170.2366914584206,175.09323923707618,179.1443835128743,184.50725436179982,188.87808415566585,194.56064052265927,199.43779338679525,205.26851798415765,210.79449563116265,216.67144696265942,222.89937197864805,228.82255004427918,235.69929984313677,241.77064613913697,249.15371900826446,255.54475082233256,263.2475092095279,270.14486409386603,277.9957907114304,285.5419703786374,293.4391237303363,301.6872507665268,309.63063085236007,318.5275826714196,326.6191309876218,336.0224058769513,344.4336397112214],[354.55004389689293,344.9738102138618,336.7516034025673,327.5586018906561,319.59425519765745,310.96267217630856,303.10259177615336,295.1489853185488,287.323091732217,280.0653853006033,272.30936313493805,265.661155008004,258.1051233451749,251.90311855408243,244.73031906237327,238.78617438957664,232.17479338842983,226.33491500847654,220.4015105710741,214.59581900494422,209.35831459353255,203.62249444806943,198.99448834133736,193.45865869871025,189.27685592781984,184.12425845631265,180.2003158037181,175.60913682277325,171.78946046302204,167.87625804582154,164.0907684998937,160.87346610868408,157.15784798342295,154.55004389689293,151.0344162744678,148.87281552377942,145.74042007247428,143.83667944008172,141.2657024793389,139.4662281397897,137.57322774279123,135.80794021706544,134.61083984605781,132.9154237409987,132.3278216746707,130.83239607244758,130.69099734196124,129.5788039108581,129.69526529866758,129.14449035812677,129.3652180387796,129.49241966198315,129.74733415645937,130.57043580565377,130.89522172079668,132.3278216746707,132.8525980926496,134.73140138236528,135.63940997146418,137.77607337947566,139.24550045913688,141.48643015999173,143.6338338033973,145.9089503180755,148.75225398747196,151.09724192281686,154.55004389689293,157.09502233507388,160.99402764499155,163.92223825429247,168.07910368250595,171.5687327823692,175.82986450342602,179.9974701670337,184.29278870191393,189.15629439151235,193.52148434705936,198.99448834133736,203.55966879972033,209.47887612984,214.42728875934296,220.6043562077585,226.11418732782371,232.39552106908266,238.5833287528922,244.89884930797453,251.78255701777502,258.16794899352396,265.66115500800413,272.246537486589,280.1859468369107,287.15456148661565,295.3518309552332,302.88186409550053,311.18339985696144,319.39140956097305,327.7271321362573,336.63104186625986,345.0366358622108,354.55004389689293],[364.0388888888889,355.40692737396597,346.1077295306927,338.0371865063322,328.99584878135477,321.3085379281142,312.71340353897847,305.22608318857385,297.2404471041178,289.8229981743798,282.5332621159145,275.15,268.538240505279,261.2592446822079,255.20890367804932,248.18776797327394,242.52065914023538,235.94572677130168,230.47860844109908,224.51317437684497,219.11592746730906,213.84639342904583,208.4833333333333,203.89177585881444,198.63298205594526,194.6028430719887,189.60190938741536,185.9550025745788,181.40027222584712,177.95335591584654,174.00812387179445,170.63107898246056,167.38174696439935,164.03888888888886,161.467533434572,158.22894165190488,156.21900468815033,153.23827302377902,151.61156823114447,149.0770399026148,147.65032561281623,145.7252955889662,144.36845271983432,143.1393227219751,141.81666666666663,141.2655132325518,140.0471234700867,140.05738852653417,139.09685888236487,139.49035610993235,138.9760298016047,139.56951753200815,139.66468952836013,140.3280486794303,141.11912070177308,141.81666666666663,143.28571525275382,144.08752751049073,146.11799458714023,147.17766696317295,149.59136621094245,151.09724192281683,153.7109316734223,155.8263056899763,158.5098668612485,161.32114090379332,164.03888888888886,167.5281394951781,170.35015377311697,174.40082286996852,177.48069726620324,181.91459853417476,185.44067626625116,190.07456803705864,194.2101440738147,198.91390726528886,203.74538332803576,208.4833333333333,213.99278595982454,218.83500225796544,224.905873375019,230.0059497914558,236.46005307962932,242.00633283190774,248.6604266229172,254.81620467987528,261.54016989155156,268.39184797450037,275.15000000000003,282.67965464669317,289.5420729650362,297.6331461022917,304.7534245389306,313.22772984730614,320.79421161978655,329.4685074309981,337.6444875081581,346.3886547400363,355.2605348431872,364.0388888888889],[374.43085926752633,365.43177754117187,356.78366949930927,347.83081450708914,339.8315312480955,331.0268444862444,323.5338842975207,315.04888305373754,307.8756083830817,299.89693020956855,292.87182376928166,285.5419703786374,278.56309067248503,271.9351846508244,265.0025316788064,259.02345044001464,252.23896569836563,246.76620752984394,240.3014083062628,235.14833565580898,229.1898595024978,224.184955082413,218.87530371197073,213.91662602602034,209.30892202456175,204.39647107274573,200.43759185415607,195.67330913270905,192.22075298438938,187.77615578101026,184.64328515075846,180.7050110176493,177.72030861776653,174.4308592675263,171.4923836017779,168.90488162052137,166.01263268890736,164.07395549051972,161.32987478927473,159.89752066115707,157.47312547797995,156.3604568679302,154.44238475502306,153.47788437534228,152.20863704530407,151.2903633997577,150.72306343870318,149.8510165272912,149.93254134910558,149.2086626680626,149.79651056014697,149.39231739717187,150.29985080732413,150.40198071461901,151.45768235514026,152.20863704530407,153.31056541995972,154.7634674791072,155.91162258789726,158.01334942991366,159.3096727690727,161.9177226813591,163.533731538586,166.4614669689403,168.5837988964372,171.65970255716044,174.4308592675263,177.552989662384,181.02609374173346,184.19445087072555,188.31637973294394,191.632905092305,196.26115702479342,199.89736790222236,204.8453053527787,208.9878393004776,214.08394498140288,218.87530371197073,224.01763612703044,229.51094222658193,234.69950137577604,240.8416322581965,246.17835963775957,252.82681359045,258.48322648808096,265.45136595883935,271.6141019267402,278.7304096278676,285.5419703786375,292.7045048138991,300.2180129336527,307.4267741030488,315.5891070056712,322.9460364054364,331.61469237832875,339.2913072961618,348.2796487871221,356.46258677522513,365.5990964965544,374.43085926752633],[385.34264821877764,375.97644628099175,367.3817469643993,358.69352159035776,350.1330090875887,342.140683739538,333.65004265743573,326.2672156140646,317.97656503479834,311.03994132726876,303.13252291912244,296.4537593298887,289.1077594123048,282.5332621159145,275.86523876207485,269.32492827950784,263.3528049516592,256.88236588975894,251.5197408665898,245.24929230752554,240.33287062019804,234.4456542322538,229.78709266322207,224.46129476584017,219.90699948965184,215.2591781560143,210.73906969364933,206.78714838600263,202.33691134430435,198.99448834133727,194.74424180247502,191.84802213534954,187.9810077676073,185.34264821877764,182.03705234159773,179.50295908561145,176.87533977217592,174.37543333001298,172.44371404256827,170.01367902107205,168.69145803830696,166.46141351964675,165.5853958727233,163.73858352518306,163.1204259965554,161.83503213957752,161.32114090379326,160.71372361055975,160.23401918859884,160.32250192135618,159.91266892006195,160.61064995749888,160.4008074590407,161.54499183231925,161.71838150498104,163.1204259965554,163.85523415977954,165.3615449441973,166.77432967116582,168.31482726940692,170.42351202236625,172.03388104127407,174.75206409891302,176.56242362065686,179.72681001413744,181.92040170700128,185.34264821877764,188.09765840220382,191.62417120682355,195.0571579539941,198.6178575724372,202.74674434559856,206.3773153847084,211.11570046254937,214.94626200449525,220.13085041817783,224.34464413124368,229.78709266322207,234.56230486685027,240.10901969167202,245.5622084590446,251.14311009768977,257.29219889105315,262.942971950365,269.70155904840794,275.55232261055585,282.75711304444053,288.9911087777083,296.4537593298888,303.24917355371895,310.81609039874274,318.2894811863173,325.8905848451645,334.05987565872994,341.7308507382438,350.50963985648883,358.38060543883864,367.6055978929253,375.8597956463951,385.34264821877764],[395.8461701771308,387.4242404074531,378.0944871018802,369.8725478350386,361.1522928341452,353.0002249879703,344.97587001306795,336.8579889807163,329.5116105695583,321.49799583005,314.7130359094543,306.95728128824186,300.55555353876616,293.2460022533954,287.04426500675567,280.3442120260644,274.2123462000915,268.20819324539116,262.11051423324153,256.78433784228554,250.79092512297927,246.02616722258563,240.29061462157517,235.90908889230153,230.61973962713273,226.43820440069504,221.75835344020587,217.64668963443492,213.66273869993657,209.585261707989,206.279287337235,202.30607663813078,199.56152075793915,195.84617017713074,193.4848464680591,190.21569922309234,188.05436601685668,185.39471707656952,183.3032552910006,181.33950637670426,179.28223140495868,177.99645905440673,176.04345037550453,175.3190965155149,173.62394795490852,173.28282626603888,172.03388104127416,171.8927498552405,171.25330293515538,171.18204316978847,171.23849627569416,171.2014233241506,171.9358529938007,172.0030463351005,173.29889449531288,173.62394795490852,175.3030282862409,176.0742850816782,177.95335591584657,179.33411101596346,181.28305327079858,183.35970839690629,185.34283746556474,188.09746915541686,190.18486451691868,193.5009146973331,195.84617017713074,199.54545252866518,202.33691134430444,206.23618419867486,209.63714131899374,213.60628559403088,217.70314274034064,221.7064738292011,226.48130753925525,230.58890492095907,235.92515712157552,240.29061462157517,246.01009899331163,250.8217598291529,256.7412347037254,262.1623938442463,268.1517401394854,274.2687993059972,280.29233241505966,287.0873681453158,293.21516754722177,300.57162176804013,306.9572812882419,314.6969676801803,321.52883053622367,329.46850743099805,336.9098685917211,344.9194169071622,353.05667809387603,361.10041322314055,369.9156509735986,378.0636523957065,387.44030863672697,395.8461701771308],[407.78378101852707,398.244475340239,390.0168962350781,380.7972760748579,372.8893824877649,364.17608539781463,356.41636004109074,348.3518877340094,340.6383891114199,333.27586417332213,325.608592284867,318.89489212963815,311.375788471552,305.1684113865933,297.968993246575,292.0813016796841,285.3882066099358,279.64868327341395,273.6044129865346,267.91111638414714,262.5687934662514,256.9217235979983,252.22822546297152,246.72932382508742,242.54214876033063,237.3629326405144,233.49544309382551,228.82255004427927,225.1032287279594,221.07916046128207,217.40606587909656,214.0839449814029,210.45707713335182,207.7837810185271,204.30508140084498,202.13810835629025,198.97909425667604,197.13180673018917,194.47911570084494,192.7799964047271,190.77613015825176,189.1232375962683,187.82131871877667,186.21465289092757,185.56155879630487,184.10306119882478,183.95629017447206,182.81747809505987,182.99039258877502,182.35790357963282,182.67898630371698,182.69532207744368,183.06263153566223,183.7809146783726,184.19445087072555,185.56155879630487,186.1232632190268,187.9966942148761,188.87808415566593,191.0712006695831,192.45891368064292,194.8001984249291,196.83673621885782,199.2242476972784,201.96273286019078,204.39647107274575,207.7837810185271,210.36568746145107,214.25932047750234,217.16091243849422,221.3742309726134,224.78214600387523,229.1436327683634,233.20037258249417,237.6080860811168,242.3667732642312,246.8207134969882,252.22822546297152,256.8303339260975,262.74416896235084,267.66596294354474,273.89948349786596,279.3276005493298,285.70928933402,291.78623116835274,298.2141466871774,304.9930358904939,311.4671781434528,318.8948921296382,325.5172026129662,333.45123966942157,340.3932356708174,348.6469582453407,356.09527731700655,364.4971681218988,372.59431197643363,381.0424295154601,389.84152073897866,398.33586501213966,407.78378101852707],[419.187187232676,410.4602429681882,401.2349829696488,393.1175370098406,384.0922675141372,376.42102489017054,367.77898756558716,360.3656050599164,352.28498622589535,344.97587001306795,337.5732277427912,330.2982983437871,323.5915560995013,316.3864981211639,310.28925418155774,303.28418670605635,297.6331461022918,291.01131079791037,285.6181303124416,279.5577134986226,274.2687993059971,268.88635905592247,263.6316316771204,258.9450914530367,253.7602354949013,249.68319357549709,244.69832812019777,241.0674895366352,236.46585625245586,233.09287778718908,229.05266299357206,225.7839508211487,222.42171259127605,219.18718723267602,216.5208490287942,213.3561950908609,211.29935519165872,208.3346917565614,206.72405519320085,204.14262392922353,202.78984748415877,200.7698347107438,199.52132455852242,198.1792883488518,196.9649650104538,196.318828826774,195.1743769090427,195.13773903004255,194.19327761514725,194.60284307198873,194.04161382821343,194.7090394033507,194.70922865013773,195.48092051811838,196.15908632864978,196.9649650104538,198.33903084697604,199.21478094944675,201.19834509064862,202.27408569595534,204.70385317299883,206.16282594942558,208.85045354476483,210.87084481175387,213.66273869993657,216.36110653066999,219.18718723267602,222.5814550894003,225.47740721207302,229.4811733734769,232.57711599898562,237.02708549623117,240.50626029285988,245.2140899084012,249.2546831955923,254.06677910397696,258.7853489549124,263.6316316771204,269.04610155404674,273.9622556969215,279.9862238785274,285.1023685242382,291.57254004168567,297.0719168585165,303.79994849425975,309.8607438016529,316.69304173023966,323.4318136013771,330.2982983437871,337.73297024091545,344.6693264039923,352.7134966058001,359.849843271713,368.3402168093625,375.85979564639524,384.60802930234064,392.6890266299357,401.5415265787244,410.30050047006387,419.187187232676],[431.30839935388815,422.4217125912761,413.66273869993665,404.81023875114795,396.72924142355276,387.9810077676074,380.46142893057464,371.9710553929251,364.83470872701236,356.7905385252044,349.8541823621276,342.41951046499923,335.5530257225892,328.8142538514518,321.9819559228651,315.92116061547193,309.19312897972867,303.69375216289785,297.2235806454504,292.1074359997396,286.0834678181337,281.167313675259,275.7528437983326,270.9065610761246,266.1879912251892,261.3758953168045,257.3353020296134,252.6274724140721,249.14829761744335,244.69832812019783,241.60238549468906,237.5986193332852,234.70266721061245,231.3083993538882,228.48231865188217,225.78395082114875,222.99205693296608,220.971665665977,218.28403807063773,216.82506529421102,214.39529781716752,213.3195572118608,211.33599307065896,210.4602429681882,209.08617713166598,208.28029844986196,207.60213263933056,206.8304407713499,206.8302515245629,206.1628259494256,206.7240551932009,206.31448973635943,207.25895115125473,207.2955890302549,208.44004094798618,209.08617713166598,210.30050047006398,211.6425366797346,212.89104683195598,214.91105960537095,216.26383605043574,218.84526731441304,220.45590387777358,223.42056731287087,225.47740721207308,228.64206115000638,231.3083993538882,234.54292471248826,237.90516294236087,241.17387511478427,245.21408990840126,248.58706837366805,253.18870165784733,256.81954024141,261.8044056967093,265.8814476161135,271.0663035742489,275.75284379833266,281.0075711771347,286.39001142720934,291.6789256198348,297.7393424336538,303.13252291912255,309.75435822350397,315.4053988272685,322.4104663027699,328.50771024237616,335.7127682207135,342.4195104649994,349.6944398640033,357.0970821342801,364.4061983471075,372.4868171811285,379.9001996867994,388.5422370113827,396.21347963534936,405.2387491310527,413.356195090861,422.5814550894003,431.30839935388815],[444.1474173821633,434.69950137577604,426.2051571026149,417.40606587909656,408.95794834006983,400.8608044855351,392.4589136806428,385.010594608977,376.75687203445375,369.8148760330578,361.88083897660243,355.2585284932744,347.8308145070891,341.3566722541301,334.57778305081365,328.149867531989,322.0729256976563,315.691236912966,310.2631198615022,304.029599307181,299.1078053259871,293.1939702897338,288.5918618266077,283.1843498606245,278.73040962786746,273.9717224447531,269.5640089461304,265.5072691319997,261.14578236751146,257.7378673362497,253.52454880213045,250.6229568411386,246.7293238250873,244.14741738216335,240.76010743638201,238.32636922382704,235.5878840609147,233.20037258249408,231.16383478856537,228.82255004427918,227.43483703321937,225.2417205193022,224.36033057851236,222.48689958266306,221.92519515994113,220.5580872343618,220.14455104200886,219.42626789929852,219.05895844107994,219.04262266735324,218.72153994326908,219.35402895241128,219.18111445869613,220.31992653810832,220.46669756246104,221.92519515994113,222.57828925456383,224.1849550824129,225.48687395990459,227.13976652188802,229.14363276836335,230.8427520644812,233.49544309382543,235.3427306203123,238.5017447199265,240.66871776448124,244.14741738216335,246.8207134969881,250.44758134503914,253.76970224273288,257.4427968249183,261.46686509159565,265.1861864079155,269.8590794574618,273.7265690041507,278.9057851239669,283.0929601887237,288.5918618266077,293.2853599616346,298.9324298298876,304.2747527477834,309.9680493501708,316.0123196370502,321.7518429735721,328.44493804332035,334.33262961021126,341.5320477502296,347.7394248351883,355.25852849327447,361.97222864850323,369.6395005369584,377.00202547505603,384.7155240976456,392.779996404727,400.5397217614509,409.25301885140124,417.16091243849405,426.38053259871435,434.6081117038751,444.1474173821633],[456.4522307831914,448.0463692427877,438.66971300176715,430.5217115796593,421.7064738292011,413.66273869993665,405.5254775132228,397.51592919778165,390.0745680370588,382.1348911422843,375.30302828624093,367.5633418943025,361.17768237410075,353.82122815328233,347.6934287513764,340.8983930211203,334.87485991205784,328.75780074554604,322.7684544503069,317.34729530978603,311.42782043521356,306.6161595993723,300.8966752276358,296.53121772763615,291.1949655270197,287.08736814531585,282.31253443526174,278.30920334640126,274.2123462000915,270.24320192505434,266.8422448047355,262.94297195036506,260.1515131347258,256.4522307831914,254.1069753033937,250.7909251229793,248.70352976147745,245.94889807162536,243.9657690029669,241.8891138768592,239.94017162202408,238.5594165219072,236.6803456877388,235.90908889230153,234.23000856096914,233.9049551013735,232.60910694116112,232.5419135998613,231.80748393021122,231.84455688175478,231.7881037758491,231.859363541216,232.49881046130113,232.63994164733478,233.8888868720995,234.23000856096914,235.92515712157552,236.64951098156516,238.60251966046735,239.8882920110193,241.9455669827649,243.90931589706122,246.00077768263014,248.6604266229173,250.82175982915297,254.0909070741197,256.4522307831914,260.1675813639998,262.9121372441914,266.88534794329564,270.1913223140496,274.2687993059972,278.2527502404956,282.36441404626646,287.0442650067557,291.22580023319335,296.5151494983622,300.8966752276358,306.63222782864625,311.3969857290399,317.39039844834616,322.71657483930215,328.8142538514518,334.8184068061521,340.950272632125,347.6503256128163,353.85206285945605,361.1616141448268,367.56334189430254,375.3190965155149,382.1040564361106,390.1176711756188,397.4640495867769,405.58193061912857,413.6062855940309,421.7583534402059,430.4786084410991,438.7005477079408,448.0303010135136,456.4522307831914],[470.1911330672626,460.7082804948802,452.4540827414103,443.22909028732374,435.35812470497376,426.5793355867288,418.9083605072149,410.73906969364947,403.13796603480233,395.6645752472278,388.09765840220393,381.3022441783737,373.8395936261933,367.60559789292546,360.40080745904083,354.55004389689293,347.79145679885,342.14068373953813,335.9915949461747,330.4106933075296,324.95750454015706,319.4107897153353,314.635577511707,309.19312897972867,304.9793352666628,299.79474685298027,295.9641853110344,291.2258002331934,287.5952291940836,283.46634242092216,279.90564280247906,276.4726560553085,272.9461432506888,270.1911330672626,266.76888655548623,264.5752948626224,261.4109084691419,259.600548947398,256.88236588975906,255.27199687085124,253.1633121178919,251.6228145196508,250.2100297926823,248.70371900826453,247.9689108450404,246.56686635346603,246.39347668080424,245.24929230752568,245.45913480598387,244.76115376854696,245.17098676984114,245.08250403708382,245.56220845904474,246.16962575227825,246.6835169880625,247.9689108450404,248.58706837366805,250.43388072120828,251.30989836813174,253.53994288679195,254.86216386955704,257.29219889105326,259.22391817849797,261.7238246206609,264.35144393409644,266.88553719008274,270.1911330672626,272.8294926160923,276.6965069838345,279.59272665096006,283.84297318982226,287.18539619278937,291.6356332344876,295.58755454213434,300.1076630044993,304.7554843381368,309.3097796143252,314.635577511707,319.2941390807388,325.181355468683,330.0977771560106,336.3682257150748,341.73085073824393,348.2012898001442,354.1734131279929,360.71372361055984,367.3817469643995,373.9562442607898,381.30224417837377,387.9810077676074,395.88842617575375,402.8250498832832,411.11570046254957,418.4985275059207,426.989168588023,434.9814939360737,443.54200643884263,452.23023181288426,460.8249311294766,470.1911330672626],[483.5217683584354,474.69000558746353,465.5534958661341,457.37055787803126,448.3822163870708,440.7056014692379,432.0369454963454,424.6800160965803,416.5176831939579,409.30892202456175,401.7954139048082,394.6328794695465,387.8213187187766,380.70501101764927,374.54227504974835,367.57413557898997,361.91772268135907,355.26926872866864,349.9325413491055,343.79041046668516,338.601851317491,333.10854521793954,327.9662128028798,323.174854072312,318.0787483913866,313.9362144436878,308.9882769931314,305.3520661157025,300.7238141832141,297.407288823853,293.28535996163464,290.1170028326425,286.64389875329306,283.5217683584354,280.75061164806954,277.6747079873462,275.5523760598494,272.62464062949505,271.00863177226813,268.40058185998174,267.1042585208227,265.00253167880635,263.8543765700163,262.4014745108688,261.29954613621317,260.54859144604933,259.492889805528,259.3907598982332,258.48322648808096,258.887419651056,258.29957175897164,259.02345044001464,258.9419256182003,259.8139725296123,260.3812724906668,261.29954613621317,262.56879346625135,263.5332938459321,265.4513659588393,266.56403456888904,268.98842975206617,270.42078388018376,273.1648645814288,275.10354177981645,277.9957907114304,280.583292692687,283.52176835843534,286.8112177086756,289.79592010855833,293.7341942416676,296.8670648719193,301.31166207529844,304.7642182236181,309.5285009450651,313.48738016365485,318.3998311154708,323.00753511692943,327.96621280287974,333.2758641733221,338.28076859340683,344.2392447467181,349.39231739717184,355.857116620753,361.3298747892747,368.11435953092365,374.0934407697154,381.0260937417335,387.65399976339404,394.6328794695465,401.9627328601907,408.9878393004776,416.96651747399073,424.1397921446466,432.6247933884298,440.1177535771535,448.9224403390046,456.9217235979982,465.8745785902183,474.5226866320809,483.52176835843534],[497.3722222222223,488.5938681765207,479.7219880733698,470.9778208414915,462.80184076433153,454.1275449531199,446.5610631806395,438.086757872264,430.96647943562516,422.8754062983696,416.0129879800266,408.4833333333334,401.72518130783385,394.8735032248849,388.1495380132087,381.9937599562507,375.33966616524117,369.7933864129628,363.3392831247893,358.2392067083524,352.1683355912989,347.32611929315794,341.8166666666668,337.0787166613692,332.2472405986223,327.54347740714815,323.4079013703921,318.7740095995846,315.2479318675082,310.81403059953675,307.73415620330195,303.6834871064504,300.86147282851147,297.3722222222223,294.65447423712675,291.8432001945819,289.1596390233097,287.0442650067557,284.43057525615023,282.9246995442759,280.51100029650644,279.45132792047366,277.4208608438242,276.6190485860872,275.1500000000001,274.45245403510654,273.6613820127637,272.9980228616935,272.90285086534163,272.3093631349381,272.8236894432658,272.43019221569836,273.3907218598676,273.38045680342015,274.5988465658852,275.1500000000001,276.47265605530856,277.7017860531678,279.0586289222996,280.9836589461497,282.41037323594827,284.9449015644779,286.5716063571125,289.55233802148376,291.56227498523833,294.8008667679054,297.3722222222223,300.7150802977328,303.964412315794,307.34145720512794,311.28668924918,314.73360555918055,319.28833590791226,322.9352427207488,327.93617640532216,331.9663153892787,337.22510919214784,341.8166666666668,347.1797267623793,352.4492608006425,357.84650771017834,363.81194177443257,369.2790601046351,375.85399247356884,381.5211013066074,388.5422370113828,394.59257801554133,401.8715738386125,408.48333333333346,415.86659544924794,423.1563315077132,430.5737804374511,438.5594165219073,446.04673687231195,454.6418712614476,462.32918211468825,471.3705198396656,479.4410628640262,488.74026070729934,497.3722222222223],[512.1258014726504,502.6123934379683,494.20679944201737,485.30288971201486,476.96716713673055,468.7591574327189,460.457621671258,452.9275885309907,444.73031906237316,437.7617044126682,429.8222950623465,423.2369125837615,415.74370656928147,409.3583145935325,402.47460688373206,396.1590863286497,389.97127864484014,383.68994490358125,378.180113783516,372.0030463351004,367.0546337055975,361.13542637547783,356.5702459170949,351.0972419228168,346.73205196726985,341.86854627767144,337.5732277427911,333.40562207918356,329.1444903581267,325.65486125826345,321.49799583004994,318.569785220749,314.67077991083136,312.12580147265044,308.67299949857437,306.3280115632295,303.48470789383305,301.20959137915474,299.0621877357492,296.82125803489436,295.35183095523314,293.21516754722165,292.3071589581228,290.4283556684071,289.9035792504282,288.47097929655416,288.14619338141125,287.3230917322169,287.06817723774066,286.9409756145371,286.72024793388425,287.27102287442506,287.1545614866156,288.26675491771874,288.4081536482051,289.9035792504282,290.4911813167562,292.18659742181535,293.38369779282294,295.14898531854874,297.04198571554724,298.8414600550963,301.4124370158392,303.31617764823176,306.44857309953693,308.6101738502253,312.12580147265044,314.73360555918043,318.44922368444156,321.66652607565123,325.452015621579,329.3652180387795,333.18489439853073,337.7760733794755,341.70001603207015,346.8526135035773,351.03441627446773,356.5702459170949,361.1982520238269,366.93407216929,372.1715765807017,377.9772681468316,383.9106725842341,389.7505509641873,396.3619319653341,402.3060766381308,409.47887612983993,415.6808809209324,423.2369125837616,429.88512071069556,437.6411428763608,444.8988493079744,452.7247428943063,460.67834935191087,468.53842975206607,477.17001277341495,485.13435946641357,494.3273609783248,502.54956778961923,512.1258014726504],[526.2518215294033,517.8405876951331,508.4373128058037,500.3457644896015,491.4488126705419,483.5054325847087,475.257305548518,467.3601521968193,459.8139725296123,451.9630459120479,445.06569102770976,437.3629326405144,430.97190082644636,423.5888279573188,417.5174816613187,410.64073186246105,404.7175537968299,398.4896287808413,392.6126774493446,387.0866998023395,381.2559752049772,376.3788223408411,370.69626597384774,366.3254361799817,360.96256533105617,356.9114210552581,352.05487327660245,348.15189723117334,343.94417423538675,340.08742492409203,336.58164929728906,332.7711267201287,329.91417587619463,326.2518215294033,323.90119375573926,320.5585249270158,318.5275826714197,315.6912369129661,313.808462887739,311.6209419121544,309.7843946210617,308.29882101446077,306.50850045750246,305.6717516337704,304.02959930718106,303.69917355371905,302.37670674519757,302.3659665098035,301.549822771552,301.68725076652686,301.5199318111443,301.70358654025364,302.2382149538547,302.4680964170984,303.6515496135684,304.02959930718106,305.71937557392107,306.41711078560166,308.4265725704096,309.63063085236007,311.788260867537,313.64114393235644,315.8450006816678,318.3998311154709,320.6499145989166,323.85356981558857,326.2518215294033,329.9617998163453,332.6797370482279,336.70940085323787,339.9336611553904,344.1114931907693,347.9845782757908,352.2086370453041,356.78366949930927,361.05395500295697,366.277812239831,370.69626597384774,376.4264462809918,381.1645855330763,387.21445135828833,392.4589136806429,398.65694773622386,404.5502348414474,410.7944956311627,417.3897301053699,423.6802176292196,430.9242768862957,437.36293264051443,445.11331496786045,451.8716562401471,459.9417240855611,467.2063884281177,475.4246245039007,483.33811362932613,491.60257643924353,500.2180129336527,508.5287024777045,517.7929637549825,526.2518215294033],[541.7733742813194,532.3644595536707,524.0633588647531,514.8544346399406,506.99953728686467,498.1738452331721,490.576807998392,482.3125344352617,474.81976349332496,467.233466493939,459.7748823658256,452.8844853924305,445.4957726849839,439.2148740162684,432.02615181165777,426.19145647878383,419.38596644529326,413.8091312307152,407.5650596877869,402.09249076605226,396.52639578686825,391.08801367895694,386.21781872576383,380.84930803851927,376.5886113900058,371.4200912055972,367.6055978929253,362.8203098796367,359.26367668526063,355.0398071625344,351.5874402610017,348.04154730201975,344.62336721431046,341.77337428131943,338.42506561427683,336.18457098596537,333.0362528217588,331.2419615292889,328.47687553620233,326.9404443620283,324.7367768595041,323.30461197817345,321.77892103939354,320.3809429718862,319.5511520590972,318.2230454122566,318.0027528041472,316.87463666014264,317.1005473878748,316.3556634149902,316.8394342610182,316.65596877869604,317.2440059175674,317.7385169989895,318.3607409516842,319.5511520590972,320.24324743245865,322.0431568445513,322.9352427207487,325.1813554686829,326.45667351600036,328.9606463822303,330.7973829201102,333.4056220791835,335.9203351808076,338.5627611537044,341.77337428131943,344.4856716748829,348.3057831071775,351.218071003577,355.48438577171316,358.77990583923264,363.3040807256647,367.1610192837465,371.78946046302195,376.3243755848481,380.98700357794684,386.21781872576383,390.9503181395294,396.790631592026,401.7231215086275,408.0096382969657,413.3253603846872,419.86973729132126,425.74687786960504,432.39552106908246,438.95063821111074,445.63346822441144,452.8844853924306,459.637186826398,467.4977022990967,474.45039423590015,482.7571130444405,490.093037152364,498.65761607920007,506.55495867768593,515.2238038973652,523.7991230595954,532.5021550930983,541.7733742813194],[557.0406290283743,548.0980004079255,539.0618457300276,530.7971936733231,521.8653052882686,514.1620717221264,505.4880434553677,498.16804206034567,489.94021712942845,482.8202062372424,475.20187961100476,468.1517401394854,461.2293135392388,454.21336088154277,447.9689108450404,441.05722448018776,435.37419293424773,428.72036668769096,423.42056731287096,417.2129444021557,412.1131355301717,406.51501092413616,401.4850734728188,396.5828488927741,391.5870982552801,387.3628502389798,382.47136589432915,378.80853636859115,374.1749121422364,370.8953147876184,366.70789389710524,363.6282870453232,360.05036445948963,357.0406290283743,354.1586064685317,351.18305785123977,348.9790118551414,346.1077295306928,344.4651020251568,341.85167981900406,340.5922844845881,338.42506561427695,337.365660782697,335.8079402170654,334.8184068061521,333.95658626651147,333.0012396694215,332.8173956935252,331.9663153892787,332.34388990394467,331.75066971799396,332.51147640378,332.3644595536709,333.32525674229294,333.7877381968634,334.8184068061521,335.9767882867135,337.0416437098256,338.8780017541313,340.0471234700868,342.44490000495483,343.8718818392061,346.65289054519417,348.52607571528705,351.5070749241111,353.9897583988836,357.0406290283743,360.2192125291377,363.30426997245183,367.16083003695957,370.35015377311703,374.7681323281871,378.21531618264044,383.0165269088305,386.90991409912544,391.9111153281515,396.41400082312606,401.4850734728188,406.6838589937842,411.7891184573003,417.66588054201003,422.8754062983696,429.31358687364167,434.780972748297,441.6023854946891,447.51597470518607,454.5373779544141,461.06046546959067,468.15174013948547,475.37072768065286,482.49618916437106,490.3931532692828,497.62288104584434,506.0812636413185,513.5688515361757,522.4104663027698,530.3442575334687,539.3858628028989,547.9291523382775,557.0406290283743],[572.6242029368414,563.946203934571,554.9634579819432,546.3316857138074,538.0508871301632,529.4653415961618,521.8333677953866,513.3959904917542,506.27033976124903,498.1526479756844,491.3466827632471,483.7353140479524,477.07751706588414,470.1149731334584,463.50340288552457,457.24280632208246,450.67746280828305,445.0656910277099,438.6485157442794,433.5430670339763,427.44557726861365,422.65981407637844,417.0686473812857,412.43105241941953,407.4887105071958,402.897342279464,398.6569477362239,394.11180624262647,390.5202364822553,386.12326321902685,383.03801652892577,378.96072878376515,376.19516761173196,372.6242029368413,370.0068099951771,367.0846701031554,364.5135038956256,362.29331137258754,359.7683718991921,358.197004159023,355.8202329159966,354.7551882460975,352.69810252113894,351.9527433693077,350.40198071461907,349.8047897931569,348.90285192133723,348.35188773400944,348.15189723117345,347.64715977798,348.0959940580129,347.7394248351885,348.6945821854914,348.6576984807349,349.9325413491057,350.40198071461907,351.8249918133589,352.9432559617413,354.4124937946155,356.23270531198153,357.74816987899015,360.217206179225,361.88083897660266,364.8561983471076,366.839516662553,370.1345615511259,372.6242029368413,376.06741605578316,379.20588222436754,382.6953220774438,386.5357356150118,390.07140220222243,394.56064052265936,398.244475340239,403.240036730946,407.24355706659344,412.55880397536833,417.0686473812857,422.53206252042963,427.69073070921604,433.2003725824943,439.0609881402643,444.616856747677,451.12629708831594,456.8303339260975,463.84609733700654,469.86981969285614,477.20526862183294,483.73531404795244,491.2189312072983,498.39780141628677,505.9276453097669,513.8084628877391,521.3845335153537,529.9141758761947,537.6384147341785,546.6743801652892,554.7183045413409,564.0739554905197,572.6242029368414],[589.2768559278196,579.7165449576901,571.3848888064728,562.3859963269055,554.1586064685315,545.8376905527085,537.6444875081581,530.0194716183258,521.8961399944421,514.8806224092895,506.95728128824186,500.38796703893087,492.8478580890031,486.536403957988,479.5577134986226,473.3505256604508,467.04981176482977,460.87681074048135,455.2719968708512,449.1688672671695,444.1735517022189,438.2704126013732,433.7213003722642,428.2013934425385,423.91014133172536,418.95165289256204,414.76466707459224,410.4841551991732,406.3313561950268,402.74674434559864,398.663816762119,395.6887032173704,391.80576613672673,389.2768559278198,385.7771510182961,383.50610092768494,380.56781450872364,378.40103071095587,376.14072085573883,374.00812387179445,372.4437140425684,370.3809884792907,369.4260769547442,367.5633418943025,367.05463370559755,365.5751308162759,365.32428274586675,364.4061983471075,364.2596165695418,364.0195087345267,363.90711377078435,364.3629059617603,364.32038241868463,365.38567291434015,365.54313987410046,367.05463370559755,367.5953328364779,369.36468678627085,370.46680440771354,372.34042465034986,374.12051883553687,376.0283258919965,378.50432010317445,380.4819985803008,383.5674910961583,385.74516007612067,389.2768559278198,391.83775707890214,395.62731304889707,398.74963269054183,402.64345495338006,406.44375115876915,410.3717602354308,414.86795646681077,418.8658369641392,423.9715315001987,428.1694025003631,433.7213003722642,438.3024035435486,444.11216153374556,449.25468319559235,455.16870747863265,460.9892057042237,466.9374168010874,473.4538150526693,479.47189757019976,486.5977941264614,492.8158671468277,500.3879670389309,506.98927223041727,514.8192322408162,521.9819559228649,529.9161822261073,537.7568824719004,545.7252955889662,554.2618958607501,562.3001803984824,571.446278974946,579.6845540155144,589.2768559278196],[605.2445523038792,596.8066998213,587.3980526381041,579.3434323266449,570.3809884792906,562.5263586706675,554.1734131279928,546.3886547400364,538.7316092233525,530.9810376492195,524.00196869628,516.3556634149903,509.93801295261324,502.54956778961935,496.51514949836223,489.5729076712099,483.7384798827888,477.4057363603161,471.6411799925617,466.0043364960799,460.27396694214883,455.31510000941137,449.6889967483237,445.29154830614857,439.9233051633567,435.9090888923016,430.9870490853513,427.1728233171322,422.86028181486154,419.1159274673092,415.4992859910294,411.78911845730033,408.8504535447649,405.24455230387923,402.86730588190613,399.51926475931634,397.5252505084632,394.62341272171494,392.82938897369786,390.5370494916292,388.81289716427887,387.2164577082011,385.5264921946741,384.60802930234064,383.022330081657,382.6652856798859,381.3374465774981,381.36363434684705,380.48199858030085,380.70817685248574,380.4360393906191,380.7320890834708,381.15585164759506,381.4860881542701,382.5878272821386,383.022330081657,384.68548770008795,385.3778506179022,387.4242404074531,388.56280666110894,390.8091869534959,392.5572515118313,394.8735032248849,397.3174678092112,399.66790633608827,402.7898474841588,405.24455230387923,408.9279119425122,411.6404768805284,415.7070686902814,418.8658369641392,423.13241927672817,426.90068585526564,431.23713958852125,435.70130619304956,440.0719467401286,445.21408990840126,449.6889967483237,455.3925584071587,460.12532536537685,466.21211919533187,471.3910894893918,477.67787382218273,483.46634242092216,489.82299817437985,496.3073667991102,502.69820936639127,509.8605545548659,516.3556634149903,524.0794270940272,530.8323960724475,538.9393919226045,546.1385642368664,554.4455505898595,562.2542212088009,570.6310789824606,579.1356496273929,587.5466942148761,596.7292414235527,605.2445523038792],[622.5320625204295,613.2118980699909,604.8453053527785,595.673309132709,587.8130394857666,578.960728783765,571.4201446548906,563.0741570231589,555.6817411246535,547.9845782757907,540.6383891114197,533.6431736315405,526.3432112013039,519.9968205042936,512.8450263044261,507.00495867768586,500.1728499958862,494.65246788721385,488.32668227568416,482.9544683973808,477.27750756872,471.951520424551,466.97650696487386,461.6967465548393,457.37055787803115,452.2389656983656,448.4191000918273,443.60719343022964,440.1070133417593,435.8014297504316,432.4494178923303,428.7926590838715,425.4868739599045,422.53206252042946,419.2725041305969,416.96651747399073,413.8551273145272,412.05546372819094,409.2637590867953,407.78378101852695,405.49839944740137,404.166589609502,402.5300328212453,401.24444971748034,400.30984029820723,399.07048392857666,398.78469929217255,397.693511152911,397.91404958677685,397.14254696558316,397.68277091751685,397.4175913665933,398.10598354889595,398.48962878084126,399.22424769727826,400.30984029820723,401.0906859487787,402.82510333257665,403.7541172135171,405.99485766758494,407.2435570665933,409.803983038729,411.55900550800743,414.2675997105121,416.6714469626594,419.42626789929847,422.53206252042946,425.333110191203,429.08772959520286,432.03694549634537,436.2978879706152,439.5667893898256,444.1474173821633,447.92264187164375,452.6514380943505,457.0754873666998,461.8505103235409,466.97650696487386,471.79775665584947,477.57257808005136,482.5419960013959,488.82314049586773,494.11224393528016,500.7130739478199,506.5085004575023,513.257498700411,519.7017499929624,526.4969749700055,533.6431736315405,540.4846253427181,548.279648787122,555.2692687286685,563.5706152433424,570.879920702957,579.5009527356987,587.3165812655832,596.0857815286938,604.5502348414471,613.3656618386923,622.5320625204295],[639.7417102334535,630.6861754011934,621.7583534402058,613.3987186339366,604.5407680936156,596.790631592026,588.1326715545412,580.8287383887931,572.5540105224284,565.5079374749761,557.7946280991736,550.8528213445646,543.8174885325064,536.909868591721,530.5704358056537,523.7326872855348,518.0027528041472,511.3649947868645,506.0812636413184,499.8267377951556,494.80086676790535,489.1077594123049,484.186154677898,479.1710238860419,474.2836059654584,469.9643751995932,465.14682869967635,461.4370962384907,456.8195402414099,453.55601111606586,449.3216872901051,446.31601828305685,442.64311294765844,439.7417102334536,436.74678146179946,433.87956556141796,431.5805368157548,428.78319233604,427.09366189505636,424.4963079181776,423.2529808130356,421.0388590072768,420.05339202043064,418.4006887052342,417.5194880112314,416.54476125977925,415.6977473795998,415.4189206541386,414.6417781946259,414.97244977384423,414.3952978171675,415.1721727322275,414.97825294667075,416.0129879800266,416.38048668503217,417.5194880112314,418.56496327998127,419.73815142000393,421.4795267147447,422.72258627543397,425.0734598748544,426.5165099383796,429.31358687364167,431.1398691082869,434.1948061618447,436.5825068870524,439.7417102334536,442.8073875224055,446.0007776826301,449.76235499757297,453.0256165784642,457.39669219808667,460.85994428181397,465.677223237278,469.5237074921253,474.59884656588514,479.0067493112948,484.18615467789795,489.272033987052,494.4856261674786,500.2674055026235,505.55086910371676,511.94214674354123,517.4256008474705,524.2630818231364,530.1297680981859,537.2251091921478,543.6532139577594,550.8528213445646,557.9589026739206,565.1926968745494,572.9946782298961,580.2983438511915,588.7098235112179,596.2134796353492,605.0711626312174,612.9580509264687,622.0735940406325,630.5219008264462,639.7417102334535],[657.0660206188682,648.476771893808,639.3892074346961,630.8698301303026,622.4781656971816,613.9929752066115,606.2792873372349,597.8983631395082,590.7460937606938,582.6230296812629,575.8539924735686,568.1771317299792,561.608085025121,554.5407225862112,548.0415473020197,541.6700848891007,535.2050964187328,529.5116105695581,523.1508883920334,518.0188210334211,511.9159589741922,507.1671237867,501.5104650633126,496.96162037865645,491.9144599599487,487.4354866959592,483.0842263032423,478.63943985307617,474.9661560241036,470.62563586678084,467.5137705283707,463.4311104893437,460.70247732205354,457.0660206188682,454.537377954414,451.5104195559083,449.0516483121208,446.72058993960593,444.2960055096418,442.6429237008713,440.3226055637506,439.2309422455424,437.1684842267175,436.4600530796293,434.843798396646,434.3353577523938,433.3286013740901,432.8900321505046,432.57917579819184,432.17479338842963,432.5419135998612,432.2417974829425,433.17033618493633,433.12808018631347,434.43985105942727,434.843798396646,436.3555597725958,437.3690054144942,438.9506382111107,440.6599838789999,442.27580348943985,444.6631257210733,446.38321162435665,449.3319523465525,451.3098983681316,454.6418712614475,457.0660206188682,460.5979840150201,463.6316316771204,467.233466493939,470.9630141820302,474.5990358126721,479.00656006450765,482.74684798799296,487.7157907303909,491.713938772172,497.0661136856899,501.5104650633126,507.06263047966655,512.1164801619689,517.7385169989894,523.4882667072826,529.1444903581266,535.5722166301642,541.3327065738515,548.3218513364513,554.3402013984346,561.7125783321544,568.1771317299792,575.7494991665352,582.8235508690397,590.4657897262621,598.2357414547574,605.9121671258034,614.360095418043,622.1407873819325,631.1501341647341,639.1886862469194,648.5812652008412,657.0660206188682],[675.5999999999999,666.0130703815612,657.7378673362497,648.6572607880809,640.5302259731384,632.0984442078384,624.0176361270303,616.2878017307141,608.2532203840404,601.1722107705931,593.2857976542884,586.711111111111,579.1443835128744,572.8893824877648,565.8289779597981,559.7221451650576,553.3105654199596,547.2499593593535,541.5403269832394,535.5259476567677,530.4651400635224,524.5989289674199,520.0444444444444,514.4979188664097,510.2631198615022,505.2229173537375,501.136286579199,496.74490885430316,492.70450481389906,489.01507445798694,485.02089715171724,481.980291578674,478.1342825027733,475.6,472.07367644216725,469.85907945746186,466.8390789698991,464.77265021556263,462.4014745108688,460.3812724906668,458.71204415495663,456.73806886888894,455.71766531604777,453.89185826034907,453.3777777777778,451.87165624014705,451.6772612756436,450.67746280828294,450.63123607414855,450.2802623896567,450.2802623896567,450.63123607414855,450.6774628082829,451.6772612756437,451.87165624014705,453.3777777777778,453.89185826034907,455.7176653160477,456.738068868889,458.71204415495663,460.38127249066684,462.40147451086875,464.7726502155627,466.83907896989905,469.8590794574619,472.07367644216725,475.6,478.1342825027733,481.9802915786739,485.0208971517173,489.0150744579869,492.7045048138991,496.7449088543031,501.136286579199,505.2229173537375,510.2631198615023,514.4979188664097,520.0444444444444,524.5989289674199,530.4651400635223,535.5259476567677,541.5403269832394,547.2499593593535,553.3105654199596,559.7221451650576,565.8289779597981,572.8893824877648,579.1443835128744,586.711111111111,593.2857976542884,601.1722107705931,608.2532203840404,616.2878017307141,624.0176361270304,632.0984442078384,640.5302259731384,648.6572607880809,657.7378673362497,666.0130703815612,675.5999999999999]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[0.0],"y":[0.0],"marker":{"symbol":"diamond","size":10,"line":{"width":3.0,"color":"rgba(255, 0, 255, 1.0)"},"color":"rgba(255, 255, 255, 1.0)"}}],"layout":{"title":{"text":"Function: bohachevsky3"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}