math-test-functions 0.5.2

{"data":[{"type":"contour","x":[-5.0,-4.898989898989899,-4.797979797979798,-4.696969696969697,-4.595959595959596,-4.494949494949495,-4.393939393939394,-4.292929292929293,-4.191919191919192,-4.090909090909091,-3.9898989898989896,-3.888888888888889,-3.787878787878788,-3.686868686868687,-3.5858585858585856,-3.484848484848485,-3.383838383838384,-3.282828282828283,-3.1818181818181817,-3.080808080808081,-2.9797979797979797,-2.878787878787879,-2.7777777777777777,-2.676767676767677,-2.5757575757575757,-2.474747474747475,-2.3737373737373737,-2.272727272727273,-2.1717171717171717,-2.0707070707070705,-1.9696969696969697,-1.8686868686868685,-1.7676767676767677,-1.6666666666666665,-1.5656565656565657,-1.4646464646464645,-1.3636363636363638,-1.2626262626262625,-1.1616161616161618,-1.0606060606060606,-0.9595959595959593,-0.858585858585859,-0.7575757575757578,-0.6565656565656566,-0.5555555555555554,-0.45454545454545414,-0.3535353535353538,-0.2525252525252526,-0.15151515151515138,-0.050505050505050164,0.050505050505050164,0.15151515151515138,0.2525252525252526,0.3535353535353538,0.45454545454545414,0.5555555555555554,0.6565656565656566,0.7575757575757578,0.858585858585859,0.9595959595959593,1.0606060606060606,1.1616161616161618,1.262626262626263,1.3636363636363633,1.4646464646464645,1.5656565656565657,1.666666666666667,1.7676767676767673,1.8686868686868685,1.9696969696969697,2.070707070707071,2.171717171717172,2.2727272727272725,2.3737373737373737,2.474747474747475,2.575757575757576,2.6767676767676765,2.7777777777777777,2.878787878787879,2.97979797979798,3.0808080808080813,3.1818181818181817,3.282828282828282,3.383838383838384,3.4848484848484844,3.5858585858585865,3.686868686868687,3.787878787878787,3.8888888888888893,3.9898989898989896,4.090909090909092,4.191919191919192,4.292929292929292,4.3939393939393945,4.494949494949495,4.595959595959595,4.696969696969697,4.797979797979798,4.8989898989899,5.0],"y":[-5.0,-4.898989898989899,-4.797979797979798,-4.696969696969697,-4.595959595959596,-4.494949494949495,-4.393939393939394,-4.292929292929293,-4.191919191919192,-4.090909090909091,-3.9898989898989896,-3.888888888888889,-3.787878787878788,-3.686868686868687,-3.5858585858585856,-3.484848484848485,-3.383838383838384,-3.282828282828283,-3.1818181818181817,-3.080808080808081,-2.9797979797979797,-2.878787878787879,-2.7777777777777777,-2.676767676767677,-2.5757575757575757,-2.474747474747475,-2.3737373737373737,-2.272727272727273,-2.1717171717171717,-2.0707070707070705,-1.9696969696969697,-1.8686868686868685,-1.7676767676767677,-1.6666666666666665,-1.5656565656565657,-1.4646464646464645,-1.3636363636363638,-1.2626262626262625,-1.1616161616161618,-1.0606060606060606,-0.9595959595959593,-0.858585858585859,-0.7575757575757578,-0.6565656565656566,-0.5555555555555554,-0.45454545454545414,-0.3535353535353538,-0.2525252525252526,-0.15151515151515138,-0.050505050505050164,0.050505050505050164,0.15151515151515138,0.2525252525252526,0.3535353535353538,0.45454545454545414,0.5555555555555554,0.6565656565656566,0.7575757575757578,0.858585858585859,0.9595959595959593,1.0606060606060606,1.1616161616161618,1.262626262626263,1.3636363636363633,1.4646464646464645,1.5656565656565657,1.666666666666667,1.7676767676767673,1.8686868686868685,1.9696969696969697,2.070707070707071,2.171717171717172,2.2727272727272725,2.3737373737373737,2.474747474747475,2.575757575757576,2.6767676767676765,2.7777777777777777,2.878787878787879,2.97979797979798,3.0808080808080813,3.1818181818181817,3.282828282828282,3.383838383838384,3.4848484848484844,3.5858585858585865,3.686868686868687,3.787878787878787,3.8888888888888893,3.9898989898989896,4.090909090909092,4.191919191919192,4.292929292929292,4.3939393939393945,4.494949494949495,4.595959595959595,4.696969696969697,4.797979797979798,4.8989898989899,5.0],"z":[[525.0,524.0001020304051,523.0206101418223,522.0615243342517,521.1228446076931,520.2045709621467,519.3067033976125,518.4292419140904,517.5721865115804,516.7355371900826,515.919293949597,515.1234567901234,514.3480257116621,513.5930007142128,512.8583817977758,512.1441689623508,511.450362207938,510.7769615345373,510.12396694214874,509.4913784307724,508.8791960004081,508.28741965105604,507.71604938271605,507.1650851953882,506.63452708907255,506.124375063769,505.6346291194776,505.1652892561983,504.71635547393123,504.2878277726763,503.8797061524334,503.49199061320274,503.12468115498416,502.77777777777777,502.4512804815835,502.14518926640136,501.8595041322314,501.59422507907357,501.3493521069279,501.1248852157943,500.9208244056729,500.7371696765636,500.5739210284665,500.4310784613815,500.30864197530866,500.20661157024796,500.1249872461994,500.0637690031629,500.02295684113864,500.0025507601265,500.0025507601265,500.02295684113864,500.0637690031629,500.1249872461994,500.20661157024796,500.30864197530866,500.4310784613815,500.5739210284665,500.7371696765636,500.9208244056729,501.1248852157943,501.3493521069279,501.59422507907357,501.8595041322314,502.14518926640136,502.4512804815835,502.77777777777777,503.12468115498416,503.49199061320274,503.8797061524334,504.2878277726763,504.71635547393123,505.1652892561983,505.6346291194776,506.124375063769,506.63452708907255,507.1650851953882,507.71604938271605,508.28741965105604,508.8791960004081,509.4913784307724,510.12396694214874,510.7769615345373,511.450362207938,512.1441689623508,512.8583817977758,513.5930007142128,514.3480257116621,515.1234567901234,515.919293949597,516.7355371900826,517.5721865115804,518.4292419140904,519.3067033976125,520.2045709621467,521.1228446076931,522.0615243342517,523.0206101418223,524.0001020304051,525.0],[514.8989898989898,513.8990919293949,512.9196000408122,511.9605142332415,511.021834506683,510.1035608611366,509.20569329660236,508.3282318130803,507.47117641057037,506.63452708907255,505.8182838485869,505.02244668911334,504.247015610652,503.49199061320274,502.75737169676563,502.04315886134066,501.3493521069279,500.6759514335272,500.02295684113864,499.3903683297623,498.778185899398,498.18640955004594,497.61503928170595,497.0640750943781,496.53351698806244,496.0233649627589,495.5336190184675,495.0642791551882,494.6153453729211,494.1868176716662,493.7786960514233,493.39098051219264,493.02367105397406,492.67676767676767,492.3502703805734,492.04417916539126,491.7584940312213,491.49321497806346,491.2483420059178,491.0238751147842,490.81981430466277,490.6361595755535,490.4729109274564,490.3300683603714,490.20763187429856,490.10560146923785,490.0239771451893,489.9627589021528,489.92194674012853,489.9015406591164,489.9015406591164,489.92194674012853,489.9627589021528,490.0239771451893,490.10560146923785,490.20763187429856,490.3300683603714,490.4729109274564,490.6361595755535,490.81981430466277,491.0238751147842,491.2483420059178,491.49321497806346,491.7584940312213,492.04417916539126,492.3502703805734,492.67676767676767,493.02367105397406,493.39098051219264,493.7786960514233,494.1868176716662,494.6153453729211,495.0642791551882,495.5336190184675,496.0233649627589,496.53351698806244,497.0640750943781,497.61503928170595,498.18640955004594,498.778185899398,499.3903683297623,500.02295684113864,500.6759514335272,501.3493521069279,502.04315886134066,502.75737169676563,503.49199061320274,504.24701561065194,505.02244668911334,505.8182838485869,506.63452708907255,507.47117641057037,508.32823181308027,509.20569329660236,510.1035608611366,511.021834506683,511.9605142332415,512.9196000408122,513.899091929395,514.8989898989898],[504.79797979797974,503.7980818283848,502.818589939802,501.85950413223134,500.9208244056728,500.00255076012644,499.1046831955922,498.22722171207016,497.3701663095602,496.5335169880624,495.7172737475767,494.9214365881032,494.14600550964184,493.3909805121926,492.65636159575547,491.9421487603305,491.2483420059177,490.574941332517,489.9219467401285,489.2893582287521,488.67717579838785,488.0853994490358,487.5140291806958,486.96306499336794,486.4325068870523,485.9223548617487,485.43260891745734,484.96326905417806,484.51433527191097,484.085807570656,483.67768595041315,483.2899704111825,482.9226609529639,482.5757575757575,482.24926027956326,481.9431690643811,481.65748393021113,481.3922048770533,481.1473319049076,480.922865013774,480.7188042036526,480.53514947454335,480.3719008264462,480.22905825936124,480.1066217732884,480.0045913682277,479.92296704417913,479.86174880114265,479.8209366391184,479.80053055810623,479.80053055810623,479.8209366391184,479.86174880114265,479.92296704417913,480.0045913682277,480.1066217732884,480.22905825936124,480.3719008264462,480.53514947454335,480.7188042036526,480.922865013774,481.1473319049076,481.3922048770533,481.65748393021113,481.9431690643811,482.24926027956326,482.5757575757575,482.9226609529639,483.2899704111825,483.67768595041315,484.085807570656,484.51433527191097,484.96326905417806,485.43260891745734,485.9223548617487,486.4325068870523,486.96306499336794,487.5140291806958,488.0853994490358,488.67717579838785,489.2893582287521,489.9219467401285,490.574941332517,491.2483420059177,491.9421487603305,492.65636159575547,493.3909805121926,494.1460055096418,494.9214365881032,495.7172737475767,496.5335169880624,497.3701663095602,498.2272217120701,499.1046831955922,500.00255076012644,500.9208244056728,501.85950413223134,502.818589939802,503.7980818283848,504.79797979797974],[494.69696969696975,493.6970717273748,492.717579838792,491.75849403122135,490.8198143046628,489.90154065911645,489.0036730945822,488.12621161106017,487.2691562085502,486.4325068870524,485.6162636465667,484.8204264870932,484.04499540863185,483.2899704111826,482.5553514947455,481.8411386593205,481.14733190490773,480.47393123150704,479.8209366391185,479.18834812774213,478.57616569737786,477.9843893480258,477.4130190796858,476.86205489235795,476.3314967860423,475.8213447607387,475.33159881644735,474.86225895316807,474.413325170901,473.984797469646,473.57667584940316,473.1889603101725,472.8216508519539,472.4747474747475,472.14825017855327,471.8421589633711,471.55647382920114,471.2911947760433,471.0463218038976,470.821854912764,470.6177941026426,470.43413937353336,470.27089072543623,470.12804815835125,470.0056116722784,469.9035812672177,469.82195694316914,469.76073870013266,469.7199265381084,469.69952045709624,469.69952045709624,469.7199265381084,469.76073870013266,469.82195694316914,469.9035812672177,470.0056116722784,470.12804815835125,470.27089072543623,470.43413937353336,470.6177941026426,470.821854912764,471.0463218038976,471.2911947760433,471.55647382920114,471.8421589633711,472.14825017855327,472.4747474747475,472.8216508519539,473.1889603101725,473.57667584940316,473.984797469646,474.413325170901,474.86225895316807,475.33159881644735,475.8213447607387,476.3314967860423,476.86205489235795,477.4130190796858,477.9843893480258,478.57616569737786,479.18834812774213,479.8209366391185,480.47393123150704,481.14733190490773,481.8411386593205,482.5553514947455,483.2899704111826,484.0449954086318,484.8204264870932,485.6162636465667,486.4325068870524,487.2691562085502,488.1262116110601,489.00367309458227,489.90154065911645,490.8198143046628,491.75849403122135,492.717579838792,493.6970717273748,494.69696969696975],[484.5959595959596,483.59606162636464,482.61656973778184,481.6574839302112,480.71880420365267,479.8005305581063,478.90266299357205,478.02520151005,477.16814610754005,476.33149678604224,475.51525354555656,474.719416386083,473.9439853076217,473.18896031017243,472.4543413937353,471.74012855831035,471.04632180389757,470.3729211304969,469.7199265381083,469.08733802673197,468.4751555963677,467.8833792470156,467.31200897867564,466.7610447913478,466.23048668503213,465.72033465972856,465.2305887154372,464.7612488521579,464.3123150698908,463.88378736863586,463.475665748393,463.08795020916233,462.72064075094374,462.37373737373736,462.0472400775431,461.74114886236094,461.455463728191,461.19018467503315,460.94531170288747,460.72084481175386,460.51678400163246,460.3331292725232,460.16988062442607,460.0270380573411,459.90460157126824,459.80257116620754,459.720946842159,459.6597285991225,459.6189164370982,459.5985103560861,459.5985103560861,459.6189164370982,459.6597285991225,459.720946842159,459.80257116620754,459.90460157126824,460.0270380573411,460.16988062442607,460.3331292725232,460.51678400163246,460.72084481175386,460.94531170288747,461.19018467503315,461.455463728191,461.74114886236094,462.0472400775431,462.37373737373736,462.72064075094374,463.08795020916233,463.475665748393,463.88378736863586,464.3123150698908,464.7612488521579,465.2305887154372,465.72033465972856,466.23048668503213,466.7610447913478,467.31200897867564,467.8833792470156,468.4751555963677,469.08733802673197,469.7199265381083,470.3729211304969,471.04632180389757,471.74012855831035,472.4543413937353,473.18896031017243,473.94398530762163,474.719416386083,475.51525354555656,476.33149678604224,477.16814610754005,478.02520151004995,478.9026629935721,479.8005305581063,480.71880420365267,481.6574839302112,482.61656973778184,483.59606162636464,484.5959595959596],[474.4949494949495,473.49505152535454,472.51555963677174,471.5564738292011,470.61779410264256,469.6995204570962,468.80165289256195,467.9241914090399,467.06713600652995,466.23048668503213,465.41424344454646,464.6184062850729,463.8429752066116,463.08795020916233,462.3533312927252,461.63911845730024,460.94531170288747,460.2719110294868,459.6189164370982,458.98632792572187,458.3741454953576,457.7823691460055,457.21099887766553,456.6600346903377,456.12947658402203,455.61932455871846,455.1295786144271,454.6602387511478,454.2113049688807,453.78277726762576,453.3746556473829,452.9869401081522,452.61963064993364,452.27272727272725,451.946229976533,451.64013876135084,451.3544536271809,451.08917457402305,450.84430160187736,450.61983471074376,450.41577390062236,450.2321191715131,450.06887052341597,449.926027956331,449.80359147025814,449.70156106519744,449.6199367411489,449.5587184981124,449.5179063360881,449.497500255076,449.497500255076,449.5179063360881,449.5587184981124,449.6199367411489,449.70156106519744,449.80359147025814,449.926027956331,450.06887052341597,450.2321191715131,450.41577390062236,450.61983471074376,450.84430160187736,451.08917457402305,451.3544536271809,451.64013876135084,451.946229976533,452.27272727272725,452.61963064993364,452.9869401081522,453.3746556473829,453.78277726762576,454.2113049688807,454.6602387511478,455.1295786144271,455.61932455871846,456.12947658402203,456.6600346903377,457.21099887766553,457.7823691460055,458.3741454953576,458.98632792572187,459.6189164370982,460.2719110294868,460.94531170288747,461.63911845730024,462.3533312927252,463.08795020916233,463.8429752066115,464.6184062850729,465.41424344454646,466.23048668503213,467.06713600652995,467.92419140903985,468.80165289256195,469.6995204570962,470.61779410264256,471.5564738292011,472.51555963677174,473.49505152535454,474.4949494949495],[464.3939393939394,463.39404142434444,462.41454953576164,461.455463728191,460.51678400163246,459.5985103560861,458.70064279155184,457.8231813080298,456.96612590551985,456.12947658402203,455.31323334353635,454.5173961840628,453.7419651056015,452.9869401081522,452.2523211917151,451.53810835629014,450.84430160187736,450.17090092847667,449.5179063360881,448.88531782471176,448.2731353943475,447.6813590449954,447.1099887766554,446.5590245893276,446.0284664830119,445.51831445770836,445.028568513417,444.5592286501377,444.1102948678706,443.68176716661566,443.2736455463728,442.8859300071421,442.51862054892354,442.17171717171715,441.8452198755229,441.53912866034074,441.25344352617077,440.98816447301294,440.74329150086726,440.51882460973366,440.31476379961225,440.131109070503,439.96786042240586,439.8250178553209,439.70258136924804,439.60055096418733,439.5189266401388,439.4577083971023,439.416896235078,439.3964901540659,439.3964901540659,439.416896235078,439.4577083971023,439.5189266401388,439.60055096418733,439.70258136924804,439.8250178553209,439.96786042240586,440.131109070503,440.31476379961225,440.51882460973366,440.74329150086726,440.98816447301294,441.25344352617077,441.53912866034074,441.8452198755229,442.17171717171715,442.51862054892354,442.8859300071421,443.2736455463728,443.68176716661566,444.1102948678706,444.5592286501377,445.028568513417,445.51831445770836,446.0284664830119,446.5590245893276,447.1099887766554,447.6813590449954,448.2731353943475,448.88531782471176,449.5179063360881,450.17090092847667,450.84430160187736,451.53810835629014,452.2523211917151,452.9869401081522,453.7419651056014,454.5173961840628,455.31323334353635,456.12947658402203,456.96612590551985,457.82318130802975,458.7006427915519,459.5985103560861,460.51678400163246,461.455463728191,462.41454953576164,463.39404142434444,464.3939393939394],[454.29292929292933,453.2930313233344,452.3135394347516,451.35445362718093,450.4157739006224,449.49750025507603,448.5996326905418,447.72217120701976,446.8651158045098,446.028466483012,445.2122232425263,444.41638608305277,443.64095500459143,442.8859300071422,442.15131109070506,441.4370982552801,440.7432915008673,440.0698908274666,439.41689623507807,438.7843077237017,438.17212529333744,437.58034894398537,437.0089786756454,436.45801448831753,435.9274563820019,435.4173043566983,434.92755841240694,434.45821854912765,434.00928476686056,433.5807570656056,433.17263544536274,432.7849199061321,432.4176104479135,432.0707070707071,431.74420977451285,431.4381185593307,431.1524334251607,430.8871543720029,430.6422813998572,430.4178145087236,430.2137536986022,430.03009896949294,429.8668503213958,429.72400775431083,429.601571268238,429.4995408631773,429.4179165391287,429.35669829609225,429.31588613406797,429.2954800530558,429.2954800530558,429.31588613406797,429.35669829609225,429.4179165391287,429.4995408631773,429.601571268238,429.72400775431083,429.8668503213958,430.03009896949294,430.2137536986022,430.4178145087236,430.6422813998572,430.8871543720029,431.1524334251607,431.4381185593307,431.74420977451285,432.0707070707071,432.4176104479135,432.7849199061321,433.17263544536274,433.5807570656056,434.00928476686056,434.45821854912765,434.92755841240694,435.4173043566983,435.9274563820019,436.45801448831753,437.0089786756454,437.58034894398537,438.17212529333744,438.7843077237017,439.41689623507807,440.0698908274666,440.7432915008673,441.4370982552801,442.15131109070506,442.8859300071422,443.6409550045914,444.41638608305277,445.2122232425263,446.028466483012,446.8651158045098,447.7221712070197,448.59963269054185,449.49750025507603,450.4157739006224,451.35445362718093,452.3135394347516,453.2930313233344,454.29292929292933],[444.1919191919192,443.1920212223243,442.2125293337415,441.2534435261708,440.3147637996123,439.39649015406593,438.4986225895317,437.62116110600965,436.7641057034997,435.9274563820019,435.1112131415162,434.31537598204267,433.53994490358133,432.7849199061321,432.05030098969496,431.33608815427,430.6422813998572,429.9688807264565,429.31588613406797,428.6832976226916,428.07111519232734,427.47933884297527,426.9079685746353,426.3570043873074,425.8264462809918,425.3162942556882,424.82654831139683,424.35720844811755,423.90827466585046,423.4797469645955,423.07162534435264,422.68390980512197,422.3166003469034,421.969696969697,421.64319967350275,421.3371084583206,421.0514233241506,420.7861442709928,420.5412712988471,420.3168044077135,420.1127435975921,419.92908886848284,419.7658402203857,419.62299765330073,419.5005611672279,419.3985307621672,419.3169064381186,419.25568819508214,419.21487603305786,419.1944699520457,419.1944699520457,419.21487603305786,419.25568819508214,419.3169064381186,419.3985307621672,419.5005611672279,419.62299765330073,419.7658402203857,419.92908886848284,420.1127435975921,420.3168044077135,420.5412712988471,420.7861442709928,421.0514233241506,421.3371084583206,421.64319967350275,421.969696969697,422.3166003469034,422.68390980512197,423.07162534435264,423.4797469645955,423.90827466585046,424.35720844811755,424.82654831139683,425.3162942556882,425.8264462809918,426.3570043873074,426.9079685746353,427.47933884297527,428.07111519232734,428.6832976226916,429.31588613406797,429.9688807264565,430.6422813998572,431.33608815427,432.05030098969496,432.7849199061321,433.5399449035813,434.31537598204267,435.1112131415162,435.9274563820019,436.7641057034997,437.6211611060096,438.4986225895317,439.39649015406593,440.3147637996123,441.2534435261708,442.2125293337415,443.1920212223243,444.1919191919192],[434.09090909090907,433.0910111213141,432.1115192327313,431.15243342516067,430.21375369860215,429.29548005305577,428.39761248852153,427.5201510049995,426.66309560248953,425.8264462809917,425.01020304050604,424.2143658810325,423.43893480257117,422.6839098051219,421.9492908886848,421.2350780532598,420.54127129884705,419.86787062544636,419.2148760330578,418.58228752168145,417.9701050913172,417.3783287419651,416.8069584736251,416.25599428629727,415.7254361799816,415.21528415467805,414.7255382103867,414.2561983471074,413.8072645648403,413.37873686358535,412.9706152433425,412.5828997041118,412.2155902458932,411.86868686868684,411.5421895724926,411.2360983573104,410.95041322314046,410.68513416998263,410.44026119783695,410.21579430670334,410.01173349658194,409.8280787674727,409.66483011937555,409.52198755229057,409.3995510662177,409.297520661157,409.21589633710846,409.154678094072,409.1138659320477,409.09345985103556,409.09345985103556,409.1138659320477,409.154678094072,409.21589633710846,409.297520661157,409.3995510662177,409.52198755229057,409.66483011937555,409.8280787674727,410.01173349658194,410.21579430670334,410.44026119783695,410.68513416998263,410.95041322314046,411.2360983573104,411.5421895724926,411.86868686868684,412.2155902458932,412.5828997041118,412.9706152433425,413.37873686358535,413.8072645648403,414.2561983471074,414.7255382103867,415.21528415467805,415.7254361799816,416.25599428629727,416.8069584736251,417.3783287419651,417.9701050913172,418.58228752168145,419.2148760330578,419.86787062544636,420.54127129884705,421.2350780532598,421.9492908886848,422.6839098051219,423.4389348025711,424.2143658810325,425.01020304050604,425.8264462809917,426.66309560248953,427.52015100499943,428.39761248852153,429.29548005305577,430.21375369860215,431.15243342516067,432.1115192327313,433.0910111213141,434.09090909090907],[423.98989898989896,422.990001020304,422.0105091317212,421.05142332415056,420.11274359759204,419.19446995204567,418.2966023875114,417.4191409039894,416.56208550147943,415.7254361799816,414.90919293949594,414.1133557800224,413.33792470156106,412.5828997041118,411.8482807876747,411.1340679522497,410.44026119783695,409.76686052443625,409.1138659320477,408.48127742067135,407.8690949903071,407.277318640955,406.705948372615,406.15498418528716,405.6244260789715,405.11427405366794,404.62452810937657,404.1551882460973,403.7062544638302,403.27772676257524,402.8696051423324,402.4818896031017,402.1145801448831,401.76767676767673,401.4411794714825,401.1350882563003,400.84940312213035,400.5841240689725,400.33925109682684,400.11478420569324,399.91072339557184,399.72706866646257,399.56382001836545,399.42097745128046,399.2985409652076,399.1965105601469,399.11488623609836,399.0536679930619,399.0128558310376,398.99244975002546,398.99244975002546,399.0128558310376,399.0536679930619,399.11488623609836,399.1965105601469,399.2985409652076,399.42097745128046,399.56382001836545,399.72706866646257,399.91072339557184,400.11478420569324,400.33925109682684,400.5841240689725,400.84940312213035,401.1350882563003,401.4411794714825,401.76767676767673,402.1145801448831,402.4818896031017,402.8696051423324,403.27772676257524,403.7062544638302,404.1551882460973,404.62452810937657,405.11427405366794,405.6244260789715,406.15498418528716,406.705948372615,407.277318640955,407.8690949903071,408.48127742067135,409.1138659320477,409.76686052443625,410.44026119783695,411.1340679522497,411.8482807876747,412.5828997041118,413.337924701561,414.1133557800224,414.90919293949594,415.7254361799816,416.56208550147943,417.41914090398933,418.2966023875115,419.19446995204567,420.11274359759204,421.05142332415056,422.0105091317212,422.990001020304,423.98989898989896],[413.88888888888886,412.8889909192939,411.9094990307111,410.95041322314046,410.01173349658194,409.09345985103556,408.1955922865013,407.3181308029793,406.4610754004693,405.6244260789715,404.80818283848583,404.0123456790123,403.23691460055096,402.4818896031017,401.7472706866646,401.0330578512396,400.33925109682684,399.66585042342615,399.0128558310376,398.38026731966124,397.768084889297,397.1763085399449,396.6049382716049,396.05397408427706,395.5234159779614,395.01326395265784,394.52351800836647,394.0541781450872,393.6052443628201,393.17671666156514,392.76859504132227,392.3808795020916,392.013570043873,391.66666666666663,391.3401693704724,391.0340781552902,390.74839302112025,390.4831139679624,390.23824099581674,390.01377410468314,389.80971329456173,389.62605856545247,389.46280991735534,389.31996735027036,389.1975308641975,389.0955004591368,389.01387613508825,388.9526578920518,388.9118457300275,388.89143964901535,388.89143964901535,388.9118457300275,388.9526578920518,389.01387613508825,389.0955004591368,389.1975308641975,389.31996735027036,389.46280991735534,389.62605856545247,389.80971329456173,390.01377410468314,390.23824099581674,390.4831139679624,390.74839302112025,391.0340781552902,391.3401693704724,391.66666666666663,392.013570043873,392.3808795020916,392.76859504132227,393.17671666156514,393.6052443628201,394.0541781450872,394.52351800836647,395.01326395265784,395.5234159779614,396.05397408427706,396.6049382716049,397.1763085399449,397.768084889297,398.38026731966124,399.0128558310376,399.66585042342615,400.33925109682684,401.0330578512396,401.7472706866646,402.4818896031017,403.2369146005509,404.0123456790123,404.80818283848583,405.6244260789715,406.4610754004693,407.3181308029792,408.1955922865013,409.09345985103556,410.01173349658194,410.95041322314046,411.9094990307111,412.8889909192939,413.88888888888886],[403.7878787878788,402.78798081828387,401.80848892970107,400.8494031221304,399.9107233955719,398.9924497500255,398.0945821854913,397.21712070196924,396.3600652994593,395.52341597796146,394.7071727374758,393.91133557800225,393.1359044995409,392.38087950209166,391.64626058565455,390.9320477502296,390.2382409958168,389.5648403224161,388.91184573002755,388.2792572186512,387.6670747882869,387.07529843893485,386.50392817059486,385.952963983267,385.42240587695136,384.9122538516478,384.4225079073564,383.95316804407713,383.50423426181004,383.0757065605551,382.6675849403122,382.27986940108156,381.91255994286297,381.5656565656566,381.23915926946233,380.93306805428017,380.6473829201102,380.3821038669524,380.1372308948067,379.9127640036731,379.7087031935517,379.5250484644424,379.3617998163453,379.2189572492603,379.09652076318747,378.99449035812677,378.9128660340782,378.8516477910417,378.81083562901745,378.7904295480053,378.7904295480053,378.81083562901745,378.8516477910417,378.9128660340782,378.99449035812677,379.09652076318747,379.2189572492603,379.3617998163453,379.5250484644424,379.7087031935517,379.9127640036731,380.1372308948067,380.3821038669524,380.6473829201102,380.93306805428017,381.23915926946233,381.5656565656566,381.91255994286297,382.27986940108156,382.6675849403122,383.0757065605551,383.50423426181004,383.95316804407713,384.4225079073564,384.9122538516478,385.42240587695136,385.952963983267,386.50392817059486,387.07529843893485,387.6670747882869,388.2792572186512,388.91184573002755,389.5648403224161,390.2382409958168,390.9320477502296,391.64626058565455,392.38087950209166,393.13590449954086,393.91133557800225,394.7071727374758,395.52341597796146,396.3600652994593,397.2171207019692,398.0945821854913,398.9924497500255,399.9107233955719,400.8494031221304,401.80848892970107,402.78798081828387,403.7878787878788],[393.6868686868687,392.68697071727377,391.70747882869097,390.7483930211203,389.8097132945618,388.8914396490154,387.9935720844812,387.11611060095913,386.2590551984492,385.42240587695136,384.6061626364657,383.81032547699215,383.0348943985308,382.27986940108156,381.54525048464444,380.83103764921947,380.1372308948067,379.463830221406,378.81083562901745,378.1782471176411,377.5660646872768,376.97428833792475,376.40291806958476,375.8519538822569,375.32139577594126,374.8112437506377,374.3214978063463,373.852157943067,373.40322416079994,372.974696459545,372.5665748393021,372.17885930007145,371.81154984185287,371.4646464646465,371.13814916845223,370.83205795327007,370.5463728191001,370.2810937659423,370.0362207937966,369.811753902663,369.6076930925416,369.4240383634323,369.2607897153352,369.1179471482502,368.99551066217737,368.89348025711666,368.8118559330681,368.7506376900316,368.70982552800734,368.6894194469952,368.6894194469952,368.70982552800734,368.7506376900316,368.8118559330681,368.89348025711666,368.99551066217737,369.1179471482502,369.2607897153352,369.4240383634323,369.6076930925416,369.811753902663,370.0362207937966,370.2810937659423,370.5463728191001,370.83205795327007,371.13814916845223,371.4646464646465,371.81154984185287,372.17885930007145,372.5665748393021,372.974696459545,373.40322416079994,373.852157943067,374.3214978063463,374.8112437506377,375.32139577594126,375.8519538822569,376.40291806958476,376.97428833792475,377.5660646872768,378.1782471176411,378.81083562901745,379.463830221406,380.1372308948067,380.83103764921947,381.54525048464444,382.27986940108156,383.03489439853075,383.81032547699215,384.6061626364657,385.42240587695136,386.2590551984492,387.1161106009591,387.99357208448123,388.8914396490154,389.8097132945618,390.7483930211203,391.70747882869097,392.68697071727377,393.6868686868687],[383.58585858585855,382.5859606162636,381.6064687276808,380.64738292011015,379.7087031935516,378.79042954800525,377.892561983471,377.01510049994897,376.158045097439,375.3213957759412,374.5051525354555,373.709315375982,372.93388429752065,372.1788593000714,371.4442403836343,370.7300275482093,370.03622079379653,369.36282012039584,368.7098255280073,368.07723701663093,367.46505458626666,366.8732782369146,366.3019079685746,365.75094378124675,365.2203856749311,364.7102336496275,364.22048770533615,363.75114784205687,363.3022140597898,362.8736863585348,362.46556473829196,362.0778491990613,361.7105397408427,361.3636363636363,361.03713906744207,360.7310478522599,360.44536271808994,360.1800836649321,359.9352106927864,359.7107438016528,359.5066829915314,359.32302826242216,359.15977961432503,359.01693704724005,358.8945005611672,358.7924701561065,358.71084583205794,358.64962758902146,358.6088154269972,358.58840934598504,358.58840934598504,358.6088154269972,358.64962758902146,358.71084583205794,358.7924701561065,358.8945005611672,359.01693704724005,359.15977961432503,359.32302826242216,359.5066829915314,359.7107438016528,359.9352106927864,360.1800836649321,360.44536271808994,360.7310478522599,361.03713906744207,361.3636363636363,361.7105397408427,362.0778491990613,362.46556473829196,362.8736863585348,363.3022140597898,363.75114784205687,364.22048770533615,364.7102336496275,365.2203856749311,365.75094378124675,366.3019079685746,366.8732782369146,367.46505458626666,368.07723701663093,368.7098255280073,369.36282012039584,370.03622079379653,370.7300275482093,371.4442403836343,372.1788593000714,372.9338842975206,373.709315375982,374.5051525354555,375.3213957759412,376.158045097439,377.0151004999489,377.89256198347107,378.79042954800525,379.7087031935516,380.64738292011015,381.6064687276808,382.5859606162636,383.58585858585855],[373.4848484848485,372.48495051525356,371.50545862667076,370.5463728191001,369.6076930925416,368.6894194469952,367.79155188246096,366.9140903989389,366.05703499642897,365.22038567493115,364.4041424344455,363.60830527497194,362.8328741965106,362.07784919906135,361.34323028262423,360.62901744719926,359.9352106927865,359.2618100193858,358.60881542699724,357.9762269156209,357.3640444852566,356.77226813590454,356.20089786756455,355.6499336802367,355.11937557392105,354.6092235486175,354.1194776043261,353.6501377410468,353.20120395877973,352.7726762575248,352.3645546372819,351.97683909805124,351.60952963983266,351.26262626262627,350.936128966432,350.63003775124986,350.3443526170799,350.07907356392207,349.8342005917764,349.6097337006428,349.4056728905214,349.2220181614121,349.058769513315,348.91592694623,348.79349046015716,348.69146005509646,348.6098357310479,348.5486174880114,348.50780532598714,348.487399244975,348.487399244975,348.50780532598714,348.5486174880114,348.6098357310479,348.69146005509646,348.79349046015716,348.91592694623,349.058769513315,349.2220181614121,349.4056728905214,349.6097337006428,349.8342005917764,350.07907356392207,350.3443526170799,350.63003775124986,350.936128966432,351.26262626262627,351.60952963983266,351.97683909805124,352.3645546372819,352.7726762575248,353.20120395877973,353.6501377410468,354.1194776043261,354.6092235486175,355.11937557392105,355.6499336802367,356.20089786756455,356.77226813590454,357.3640444852566,357.9762269156209,358.60881542699724,359.2618100193858,359.9352106927865,360.62901744719926,361.34323028262423,362.07784919906135,362.83287419651055,363.60830527497194,364.4041424344455,365.22038567493115,366.05703499642897,366.91409039893887,367.791551882461,368.6894194469952,369.6076930925416,370.5463728191001,371.50545862667076,372.48495051525356,373.4848484848485],[363.3838383838384,362.38394041424345,361.40444852566065,360.44536271809,359.5066829915315,358.5884093459851,357.69054178145086,356.8130802979288,355.95602489541886,355.11937557392105,354.30313233343537,353.50729517396184,352.7318640955005,351.97683909805124,351.24222018161413,350.52800734618916,349.8342005917764,349.1607999183757,348.50780532598714,347.8752168146108,347.2630343842465,346.67125803489444,346.09988776655445,345.5489235792266,345.01836547291094,344.5082134476074,344.018467503316,343.5491276400367,343.1001938577696,342.6716661565147,342.2635445362718,341.87582899704114,341.50851953882255,341.16161616161617,340.8351188654219,340.52902765023975,340.2433425160698,339.97806346291196,339.7331904907663,339.5087235996327,339.30466278951127,339.121008060402,338.9577594123049,338.8149168452199,338.69248035914705,338.59044995408635,338.5088256300378,338.4476073870013,338.40679522497703,338.3863891439649,338.3863891439649,338.40679522497703,338.4476073870013,338.5088256300378,338.59044995408635,338.69248035914705,338.8149168452199,338.9577594123049,339.121008060402,339.30466278951127,339.5087235996327,339.7331904907663,339.97806346291196,340.2433425160698,340.52902765023975,340.8351188654219,341.16161616161617,341.50851953882255,341.87582899704114,342.2635445362718,342.6716661565147,343.1001938577696,343.5491276400367,344.018467503316,344.5082134476074,345.01836547291094,345.5489235792266,346.09988776655445,346.67125803489444,347.2630343842465,347.8752168146108,348.50780532598714,349.1607999183757,349.8342005917764,350.52800734618916,351.24222018161413,351.97683909805124,352.73186409550044,353.50729517396184,354.30313233343537,355.11937557392105,355.95602489541886,356.81308029792876,357.69054178145086,358.5884093459851,359.5066829915315,360.44536271809,361.40444852566065,362.38394041424345,363.3838383838384],[353.2828282828283,352.28293031323335,351.30343842465055,350.3443526170799,349.4056728905214,348.487399244975,347.58953168044076,346.7120701969187,345.85501479440876,345.01836547291094,344.20212223242527,343.40628507295173,342.6308539944904,341.87582899704114,341.141210080604,340.42699724517905,339.7331904907663,339.0597898173656,338.40679522497703,337.7742067136007,337.1620242832364,336.57024793388433,335.99887766554434,335.4479134782165,334.91735537190084,334.40720334659727,333.9174574023059,333.4481175390266,332.9991837567595,332.57065605550457,332.1625344352617,331.77481889603104,331.40750943781245,331.06060606060606,330.7341087644118,330.42801754922965,330.1423324150597,329.87705336190186,329.6321803897562,329.40771349862257,329.20365268850117,329.0199979593919,328.8567493112948,328.7139067442098,328.59147025813695,328.48943985307625,328.4078155290277,328.3465972859912,328.3057851239669,328.2853790429548,328.2853790429548,328.3057851239669,328.3465972859912,328.4078155290277,328.48943985307625,328.59147025813695,328.7139067442098,328.8567493112948,329.0199979593919,329.20365268850117,329.40771349862257,329.6321803897562,329.87705336190186,330.1423324150597,330.42801754922965,330.7341087644118,331.06060606060606,331.40750943781245,331.77481889603104,332.1625344352617,332.57065605550457,332.9991837567595,333.4481175390266,333.9174574023059,334.40720334659727,334.91735537190084,335.4479134782165,335.99887766554434,336.57024793388433,337.1620242832364,337.7742067136007,338.40679522497703,339.0597898173656,339.7331904907663,340.42699724517905,341.141210080604,341.87582899704114,342.63085399449034,343.40628507295173,344.20212223242527,345.01836547291094,345.85501479440876,346.71207019691866,347.5895316804408,348.487399244975,349.4056728905214,350.3443526170799,351.30343842465055,352.28293031323335,353.2828282828283],[343.1818181818182,342.18192021222325,341.20242832364045,340.2433425160698,339.30466278951127,338.3863891439649,337.48852157943065,336.6110600959086,335.75400469339866,334.91735537190084,334.10111213141516,333.3052749719416,332.5298438934803,331.77481889603104,331.0401999795939,330.32598714416895,329.6321803897562,328.9587797163555,328.3057851239669,327.6731966125906,327.0610141822263,326.4692378328742,325.89786756453424,325.3469033772064,324.81634527089074,324.30619324558717,323.8164473012958,323.3471074380165,322.8981736557494,322.46964595449447,322.0615243342516,321.67380879502093,321.30649933680235,320.95959595959596,320.6330986634017,320.32700744821955,320.0413223140496,319.77604326089175,319.53117028874607,319.30670339761247,319.10264258749106,318.9189878583818,318.7557392102847,318.6128966431997,318.49046015712685,318.38842975206614,318.3068054280176,318.2455871849811,318.2047750229568,318.1843689419447,318.1843689419447,318.2047750229568,318.2455871849811,318.3068054280176,318.38842975206614,318.49046015712685,318.6128966431997,318.7557392102847,318.9189878583818,319.10264258749106,319.30670339761247,319.53117028874607,319.77604326089175,320.0413223140496,320.32700744821955,320.6330986634017,320.95959595959596,321.30649933680235,321.67380879502093,322.0615243342516,322.46964595449447,322.8981736557494,323.3471074380165,323.8164473012958,324.30619324558717,324.81634527089074,325.3469033772064,325.89786756453424,326.4692378328742,327.0610141822263,327.6731966125906,328.3057851239669,328.9587797163555,329.6321803897562,330.32598714416895,331.0401999795939,331.77481889603104,332.52984389348023,333.3052749719416,334.10111213141516,334.91735537190084,335.75400469339866,336.61106009590856,337.48852157943065,338.3863891439649,339.30466278951127,340.2433425160698,341.20242832364045,342.18192021222325,343.1818181818182],[333.0808080808081,332.08091011121314,331.10141822263034,330.1423324150597,329.20365268850117,328.2853790429548,327.38751147842055,326.5100499948985,325.65299459238855,324.81634527089074,324.00010203040506,323.2042648709315,322.4288337924702,321.67380879502093,320.9391898785838,320.22497704315884,319.53117028874607,318.8577696153454,318.2047750229568,317.57218651158047,316.9600040812162,316.3682277318641,315.79685746352413,315.2458932761963,314.71533516988063,314.20518314457706,313.7154372002857,313.2460973370064,312.7971635547393,312.36863585348436,311.9605142332415,311.5727986940108,311.20548923579224,310.85858585858585,310.5320885623916,310.22599734720944,309.9403122130395,309.67503315988165,309.43016018773596,309.20569329660236,309.00163248648096,308.8179777573717,308.65472910927457,308.5118865421896,308.38945005611674,308.28741965105604,308.2057953270075,308.144577083971,308.1037649219467,308.0833588409346,308.0833588409346,308.1037649219467,308.144577083971,308.2057953270075,308.28741965105604,308.38945005611674,308.5118865421896,308.65472910927457,308.8179777573717,309.00163248648096,309.20569329660236,309.43016018773596,309.67503315988165,309.9403122130395,310.22599734720944,310.5320885623916,310.85858585858585,311.20548923579224,311.5727986940108,311.9605142332415,312.36863585348436,312.7971635547393,313.2460973370064,313.7154372002857,314.20518314457706,314.71533516988063,315.2458932761963,315.79685746352413,316.3682277318641,316.9600040812162,317.57218651158047,318.2047750229568,318.8577696153454,319.53117028874607,320.22497704315884,320.9391898785838,321.67380879502093,322.42883379247013,323.2042648709315,324.00010203040506,324.81634527089074,325.65299459238855,326.51004999489845,327.3875114784206,328.2853790429548,329.20365268850117,330.1423324150597,331.10141822263034,332.08091011121314,333.0808080808081],[322.979797979798,321.97990001020304,321.00040812162024,320.0413223140496,319.10264258749106,318.1843689419447,317.28650137741045,316.4090398938884,315.55198449137845,314.71533516988063,313.89909192939496,313.1032547699214,312.3278236914601,311.5727986940108,310.8381797775737,310.12396694214874,309.43016018773596,308.7567595143353,308.1037649219467,307.47117641057037,306.8589939802061,306.267217630854,305.69584736251403,305.1448831751862,304.6143250688705,304.10417304356696,303.6144270992756,303.1450872359963,302.6961534537292,302.26762575247426,301.8595041322314,301.4717885930007,301.10447913478214,300.75757575757575,300.4310784613815,300.12498724619934,299.8393021120294,299.57402305887155,299.32915008672586,299.10468319559226,298.90062238547085,298.7169676563616,298.55371900826447,298.4108764411795,298.28843995510664,298.18640955004594,298.1047852259974,298.0435669829609,298.0027548209366,297.9823487399245,297.9823487399245,298.0027548209366,298.0435669829609,298.1047852259974,298.18640955004594,298.28843995510664,298.4108764411795,298.55371900826447,298.7169676563616,298.90062238547085,299.10468319559226,299.32915008672586,299.57402305887155,299.8393021120294,300.12498724619934,300.4310784613815,300.75757575757575,301.10447913478214,301.4717885930007,301.8595041322314,302.26762575247426,302.6961534537292,303.1450872359963,303.6144270992756,304.10417304356696,304.6143250688705,305.1448831751862,305.69584736251403,306.267217630854,306.8589939802061,307.47117641057037,308.1037649219467,308.7567595143353,309.43016018773596,310.12396694214874,310.8381797775737,311.5727986940108,312.32782369146,313.1032547699214,313.89909192939496,314.71533516988063,315.55198449137845,316.40903989388835,317.28650137741045,318.1843689419447,319.10264258749106,320.0413223140496,321.00040812162024,321.97990001020304,322.979797979798],[312.8787878787879,311.87888990919294,310.89939802061014,309.9403122130395,309.00163248648096,308.0833588409346,307.18549127640034,306.3080297928783,305.45097439036834,304.6143250688705,303.79808182838485,303.0022446689113,302.22681359045,301.4717885930007,300.7371696765636,300.02295684113864,299.32915008672586,298.65574941332517,298.0027548209366,297.37016630956026,296.757983879196,296.1662075298439,295.5948372615039,295.0438730741761,294.5133149678604,294.00316294255686,293.5134169982655,293.0440771349862,292.5951433527191,292.16661565146416,291.7584940312213,291.3707784919906,291.00346903377203,290.65656565656565,290.3300683603714,290.02397714518924,289.73829201101927,289.47301295786144,289.22813998571576,289.00367309458215,288.79961228446075,288.6159575553515,288.45270890725436,288.3098663401694,288.18742985409654,288.08539944903583,288.00377512498727,287.9425568819508,287.9017447199265,287.8813386389144,287.8813386389144,287.9017447199265,287.9425568819508,288.00377512498727,288.08539944903583,288.18742985409654,288.3098663401694,288.45270890725436,288.6159575553515,288.79961228446075,289.00367309458215,289.22813998571576,289.47301295786144,289.73829201101927,290.02397714518924,290.3300683603714,290.65656565656565,291.00346903377203,291.3707784919906,291.7584940312213,292.16661565146416,292.5951433527191,293.0440771349862,293.5134169982655,294.00316294255686,294.5133149678604,295.0438730741761,295.5948372615039,296.1662075298439,296.757983879196,297.37016630956026,298.0027548209366,298.65574941332517,299.32915008672586,300.02295684113864,300.7371696765636,301.4717885930007,302.2268135904499,303.0022446689113,303.79808182838485,304.6143250688705,305.45097439036834,306.30802979287824,307.1854912764004,308.0833588409346,309.00163248648096,309.9403122130395,310.89939802061014,311.87888990919294,312.8787878787879],[302.77777777777777,301.77787980818283,300.79838791960003,299.8393021120294,298.90062238547085,297.9823487399245,297.08448117539024,296.2070196918682,295.34996428935824,294.5133149678604,293.69707172737475,292.9012345679012,292.1258034894399,291.3707784919906,290.6361595755535,289.92194674012853,289.22813998571576,288.55473931231506,287.9017447199265,287.26915620855016,286.6569737781859,286.0651974288338,285.4938271604938,284.942862973166,284.4123048668503,283.90215284154675,283.4124068972554,282.9430670339761,282.494133251709,282.06560555045405,281.6574839302112,281.2697683909805,280.90245893276193,280.55555555555554,280.2290582593613,279.92296704417913,279.63728191000916,279.37200285685134,279.12712988470565,278.90266299357205,278.69860218345065,278.5149474543414,278.35169880624426,278.2088562391593,278.08641975308643,277.98438934802573,277.90276502397717,277.8415467809407,277.8007346189164,277.78032853790427,277.78032853790427,277.8007346189164,277.8415467809407,277.90276502397717,277.98438934802573,278.08641975308643,278.2088562391593,278.35169880624426,278.5149474543414,278.69860218345065,278.90266299357205,279.12712988470565,279.37200285685134,279.63728191000916,279.92296704417913,280.2290582593613,280.55555555555554,280.90245893276193,281.2697683909805,281.6574839302112,282.06560555045405,282.494133251709,282.9430670339761,283.4124068972554,283.90215284154675,284.4123048668503,284.942862973166,285.4938271604938,286.0651974288338,286.6569737781859,287.26915620855016,287.9017447199265,288.55473931231506,289.22813998571576,289.92194674012853,290.6361595755535,291.3707784919906,292.1258034894398,292.9012345679012,293.69707172737475,294.5133149678604,295.34996428935824,296.20701969186814,297.08448117539024,297.9823487399245,298.90062238547085,299.8393021120294,300.79838791960003,301.77787980818283,302.77777777777777],[292.67676767676767,291.6768697071727,290.6973778185899,289.73829201101927,288.79961228446075,287.8813386389144,286.98347107438013,286.1060095908581,285.24895418834814,284.4123048668503,283.59606162636464,282.8002244668911,282.02479338842977,281.2697683909805,280.5351494745434,279.82093663911843,279.12712988470565,278.45372921130496,277.8007346189164,277.16814610754005,276.5559636771758,275.9641873278237,275.3928170594837,274.84185287215587,274.3112947658402,273.80114274053665,273.3113967962453,272.842056932966,272.3931231506989,271.96459544944395,271.5564738292011,271.1687582899704,270.8014488317518,270.45454545454544,270.1280481583512,269.821956943169,269.53627180899906,269.27099275584123,269.02611978369555,268.80165289256195,268.59759208244054,268.4139373533313,268.25068870523415,268.10784613814917,267.9854096520763,267.8833792470156,267.80175492296706,267.7405366799306,267.6997245179063,267.67931843689416,267.67931843689416,267.6997245179063,267.7405366799306,267.80175492296706,267.8833792470156,267.9854096520763,268.10784613814917,268.25068870523415,268.4139373533313,268.59759208244054,268.80165289256195,269.02611978369555,269.27099275584123,269.53627180899906,269.821956943169,270.1280481583512,270.45454545454544,270.8014488317518,271.1687582899704,271.5564738292011,271.96459544944395,272.3931231506989,272.842056932966,273.3113967962453,273.80114274053665,274.3112947658402,274.84185287215587,275.3928170594837,275.9641873278237,276.5559636771758,277.16814610754005,277.8007346189164,278.45372921130496,279.12712988470565,279.82093663911843,280.5351494745434,281.2697683909805,282.0247933884297,282.8002244668911,283.59606162636464,284.4123048668503,285.24895418834814,286.10600959085804,286.9834710743802,287.8813386389144,288.79961228446075,289.73829201101927,290.6973778185899,291.6768697071727,292.67676767676767],[282.57575757575756,281.5758596061626,280.5963677175798,279.63728191000916,278.69860218345065,277.78032853790427,276.88246097337003,276.004999489848,275.14794408733803,274.3112947658402,273.49505152535454,272.699214365881,271.92378328741967,271.1687582899704,270.4341393735333,269.7199265381083,269.02611978369555,268.35271911029486,267.6997245179063,267.06713600652995,266.4549535761657,265.8631772268136,265.2918069584736,264.74084277114576,264.2102846648301,263.70013263952654,263.2103866952352,262.7410468319559,262.2921130496888,261.86358534843384,261.455463728191,261.0677481889603,260.7004387307417,260.35353535353534,260.0270380573411,259.7209468421589,259.43526170798896,259.16998265483113,258.92510968268545,258.70064279155184,258.49658198143044,258.3129272523212,258.14967860422405,258.00683603713907,257.8843995510662,257.7823691460055,257.70074482195696,257.6395265789205,257.5987144168962,257.57830833588406,257.57830833588406,257.5987144168962,257.6395265789205,257.70074482195696,257.7823691460055,257.8843995510662,258.00683603713907,258.14967860422405,258.3129272523212,258.49658198143044,258.70064279155184,258.92510968268545,259.16998265483113,259.43526170798896,259.7209468421589,260.0270380573411,260.35353535353534,260.7004387307417,261.0677481889603,261.455463728191,261.86358534843384,262.2921130496888,262.7410468319559,263.2103866952352,263.70013263952654,264.2102846648301,264.74084277114576,265.2918069584736,265.8631772268136,266.4549535761657,267.06713600652995,267.6997245179063,268.35271911029486,269.02611978369555,269.7199265381083,270.4341393735333,271.1687582899704,271.9237832874196,272.699214365881,273.49505152535454,274.3112947658402,275.14794408733803,276.00499948984793,276.88246097337003,277.78032853790427,278.69860218345065,279.63728191000916,280.5963677175798,281.5758596061626,282.57575757575756],[272.47474747474746,271.4748495051525,270.4953576165698,269.5362718089991,268.5975920824406,267.6793184368942,266.78145087236,265.9039893888379,265.04693398632793,264.2102846648301,263.39404142434444,262.59820426487096,261.82277318640956,261.0677481889603,260.33312927252325,259.6189164370983,258.92510968268545,258.2517090092848,257.59871441689626,256.96612590551985,256.35394347515563,255.7621671258035,255.19079685746354,254.63983267013572,254.10927456382004,253.5991225385165,253.1093765942251,252.64003673094584,252.19110294867872,251.76257524742374,251.3544536271809,250.96673808795023,250.59942862973168,250.25252525252526,249.926027956331,249.61993674114888,249.33425160697888,249.06897255382106,248.82409958167534,248.5996326905418,248.3955718804204,248.2119171513111,248.04866850321397,247.905825936129,247.78338945005612,247.68135904499542,247.59973472094686,247.53851647791043,247.49770431588615,247.477298234874,247.477298234874,247.49770431588615,247.53851647791043,247.59973472094686,247.68135904499542,247.78338945005612,247.905825936129,248.04866850321397,248.2119171513111,248.3955718804204,248.5996326905418,248.82409958167534,249.06897255382106,249.33425160697888,249.61993674114888,249.926027956331,250.25252525252526,250.59942862973168,250.96673808795023,251.3544536271809,251.76257524742374,252.19110294867872,252.64003673094584,253.1093765942251,253.5991225385165,254.10927456382004,254.63983267013572,255.19079685746354,255.7621671258035,256.35394347515563,256.96612590551985,257.59871441689626,258.25170900928475,258.92510968268545,259.6189164370983,260.33312927252325,261.0677481889603,261.82277318640956,262.59820426487096,263.39404142434444,264.21028466483017,265.04693398632793,265.9039893888379,266.78145087236,267.6793184368942,268.5975920824406,269.5362718089991,270.4953576165698,271.4748495051526,272.47474747474746],[262.37373737373736,261.3738394041424,260.3943475155596,259.43526170798896,258.49658198143044,257.57830833588406,256.6804407713498,255.80297928782775,254.9459238853178,254.10927456382,253.29303132333433,252.4971941638608,251.72176308539943,250.9667380879502,250.2321191715131,249.51790633608815,248.8240995816753,248.15069890827465,247.49770431588612,246.8651158045097,246.25293337414547,245.66115702479337,245.0897867564534,244.53882256912559,244.0082644628099,243.49811243750636,243.00836649321496,242.5390266299357,242.0900928476686,241.6615651464136,241.25344352617077,240.8657279869401,240.49841852872154,240.15151515151513,239.82501785532088,239.51892664013874,239.23324150596875,238.96796245281092,238.7230894806652,238.49862258953166,238.29456177941026,238.11090705030097,237.94765840220384,237.80481583511886,237.682379349046,237.58034894398529,237.49872461993672,237.4375063769003,237.39669421487602,237.37628813386388,237.37628813386388,237.39669421487602,237.4375063769003,237.49872461993672,237.58034894398529,237.682379349046,237.80481583511886,237.94765840220384,238.11090705030097,238.29456177941026,238.49862258953166,238.7230894806652,238.96796245281092,239.23324150596875,239.51892664013874,239.82501785532088,240.15151515151513,240.49841852872154,240.8657279869401,241.25344352617077,241.6615651464136,242.0900928476686,242.5390266299357,243.00836649321496,243.49811243750636,244.0082644628099,244.53882256912559,245.0897867564534,245.66115702479337,246.25293337414547,246.86511580450974,247.49770431588612,248.15069890827465,248.8240995816753,249.51790633608815,250.2321191715131,250.9667380879502,251.72176308539943,252.49719416386083,253.29303132333433,254.10927456382,254.9459238853178,255.80297928782775,256.6804407713498,257.57830833588406,258.49658198143044,259.43526170798896,260.3943475155596,261.3738394041424,262.37373737373736],[252.27272727272728,251.27282930313234,250.29333741454954,249.33425160697888,248.39557188042036,247.477298234874,246.57943067033978,245.70196918681768,244.84491378430772,244.00826446280993,243.19202122232426,242.39618406285075,241.62075298438936,240.8657279869401,240.13110907050302,239.41689623507807,238.72308948066524,238.04968880726457,237.39669421487605,236.76410570349964,236.1519232731354,235.5601469237833,234.98877665544333,234.4378124681155,233.90725436179983,233.3971023364963,232.9073563922049,232.43801652892563,231.9890827466585,231.56055504540353,231.1524334251607,230.76471788593003,230.39740842771147,230.05050505050505,229.7240077543108,229.41791653912867,229.13223140495867,228.86695235180085,228.62207937965513,228.3976124885216,228.19355167840018,228.0098969492909,227.84664830119377,227.70380573410878,227.5813692480359,227.4793388429752,227.39771451892665,227.33649627589023,227.29568411386595,227.2752780328538,227.2752780328538,227.29568411386595,227.33649627589023,227.39771451892665,227.4793388429752,227.5813692480359,227.70380573410878,227.84664830119377,228.0098969492909,228.19355167840018,228.3976124885216,228.62207937965513,228.86695235180085,229.13223140495867,229.41791653912867,229.7240077543108,230.05050505050505,230.39740842771147,230.76471788593003,231.1524334251607,231.56055504540353,231.9890827466585,232.43801652892563,232.9073563922049,233.3971023364963,233.90725436179983,234.4378124681155,234.98877665544333,235.5601469237833,236.1519232731354,236.76410570349967,237.39669421487605,238.04968880726457,238.72308948066524,239.41689623507807,240.13110907050302,240.8657279869401,241.62075298438936,242.39618406285075,243.19202122232426,244.00826446280993,244.84491378430772,245.70196918681768,246.57943067033978,247.477298234874,248.39557188042036,249.33425160697888,250.29333741454954,251.27282930313234,252.27272727272728],[242.17171717171718,241.17181920212224,240.19232731353944,239.23324150596878,238.29456177941026,237.3762881338639,236.47842056932967,235.60095908580757,234.74390368329762,233.90725436179983,233.09101112131415,232.29517396184065,231.51974288337925,230.76471788593,230.0300989694929,229.31588613406797,228.62207937965513,227.94867870625447,227.29568411386595,226.66309560248953,226.0509131721253,225.4591368227732,224.88776655443323,224.3368023671054,223.80624426078973,223.29609223548619,222.80634629119479,222.33700642791553,221.8880726456484,221.45954494439343,221.0514233241506,220.66370778491992,220.29639832670136,219.94949494949495,219.6229976533007,219.31690643811856,219.03122130394857,218.76594225079074,218.52106927864503,218.29660238751148,218.09254157739008,217.9088868482808,217.74563820018366,217.60279563309868,217.4803591470258,217.3783287419651,217.29670441791654,217.23548617488012,217.19467401285584,217.1742679318437,217.1742679318437,217.19467401285584,217.23548617488012,217.29670441791654,217.3783287419651,217.4803591470258,217.60279563309868,217.74563820018366,217.9088868482808,218.09254157739008,218.29660238751148,218.52106927864503,218.76594225079074,219.03122130394857,219.31690643811856,219.6229976533007,219.94949494949495,220.29639832670136,220.66370778491992,221.0514233241506,221.45954494439343,221.8880726456484,222.33700642791553,222.80634629119479,223.29609223548619,223.80624426078973,224.3368023671054,224.88776655443323,225.4591368227732,226.0509131721253,226.66309560248956,227.29568411386595,227.94867870625447,228.62207937965513,229.31588613406797,230.0300989694929,230.76471788593,231.51974288337925,232.29517396184065,233.09101112131415,233.90725436179983,234.74390368329762,235.60095908580757,236.47842056932967,237.3762881338639,238.29456177941026,239.23324150596878,240.19232731353944,241.17181920212224,242.17171717171718],[232.07070707070704,231.0708091011121,230.0913172125293,229.13223140495865,228.19355167840013,227.27527803285375,226.37741046831954,225.49994898479744,224.64289358228748,223.8062442607897,222.99000102030402,222.19416386083049,221.41873278236912,220.6637077849199,219.92908886848278,219.21487603305783,218.521069278645,217.84766860524434,217.1946740128558,216.5620855014794,215.94990307111516,215.35812672176306,214.7867564534231,214.23579226609527,213.7052341597796,213.19508213447605,212.70533619018465,212.2359963269054,211.78706254463827,211.3585348433833,210.95041322314046,210.5626976839098,210.19538822569123,209.84848484848482,209.52198755229057,209.21589633710843,208.93021120293844,208.6649321497806,208.4200591776349,208.19559228650135,207.99153147637995,207.80787674727065,207.64462809917353,207.50178553208855,207.37934904601568,207.27731864095497,207.1956943169064,207.13447607387,207.0936639118457,207.07325783083357,207.07325783083357,207.0936639118457,207.13447607387,207.1956943169064,207.27731864095497,207.37934904601568,207.50178553208855,207.64462809917353,207.80787674727065,207.99153147637995,208.19559228650135,208.4200591776349,208.6649321497806,208.93021120293844,209.21589633710843,209.52198755229057,209.84848484848482,210.19538822569123,210.5626976839098,210.95041322314046,211.3585348433833,211.78706254463827,212.2359963269054,212.70533619018465,213.19508213447605,213.7052341597796,214.23579226609527,214.7867564534231,215.35812672176306,215.94990307111516,216.56208550147943,217.1946740128558,217.84766860524434,218.521069278645,219.21487603305783,219.92908886848278,220.6637077849199,221.41873278236912,222.1941638608305,222.99000102030402,223.8062442607897,224.64289358228748,225.49994898479744,226.37741046831954,227.27527803285375,228.19355167840013,229.13223140495865,230.0913172125293,231.0708091011121,232.07070707070704],[221.96969696969697,220.96979900010203,219.99030711151923,219.03122130394857,218.09254157739005,217.1742679318437,216.27640036730946,215.39893888378737,214.5418834812774,213.70523415977962,212.88899091929395,212.09315375982044,211.31772268135904,210.5626976839098,209.8280787674727,209.11386593204776,208.42005917763493,207.74665850423426,207.09366391184574,206.46107540046933,205.84889297010508,205.25711662075298,204.68574635241302,204.1347821650852,203.60422405876952,203.09407203346598,202.60432608917458,202.13498622589532,201.6860524436282,201.25752474237322,200.84940312213038,200.4616875828997,200.09437812468116,199.74747474747474,199.4209774512805,199.11488623609836,198.82920110192836,198.56392204877054,198.31904907662482,198.09458218549128,197.89052137536987,197.70686664626058,197.54361799816346,197.40077543107847,197.2783389450056,197.1763085399449,197.09468421589634,197.03346597285991,196.99265381083563,196.9722477298235,196.9722477298235,196.99265381083563,197.03346597285991,197.09468421589634,197.1763085399449,197.2783389450056,197.40077543107847,197.54361799816346,197.70686664626058,197.89052137536987,198.09458218549128,198.31904907662482,198.56392204877054,198.82920110192836,199.11488623609836,199.4209774512805,199.74747474747474,200.09437812468116,200.4616875828997,200.84940312213038,201.25752474237322,201.6860524436282,202.13498622589532,202.60432608917458,203.09407203346598,203.60422405876952,204.1347821650852,204.68574635241302,205.25711662075298,205.84889297010508,206.46107540046935,207.09366391184574,207.74665850423426,208.42005917763493,209.11386593204776,209.8280787674727,210.5626976839098,211.31772268135904,212.09315375982044,212.88899091929395,213.70523415977962,214.5418834812774,215.39893888378737,216.27640036730946,217.1742679318437,218.09254157739005,219.03122130394857,219.99030711151923,220.96979900010203,221.96969696969697],[211.86868686868684,210.8687888990919,209.8892970105091,208.93021120293844,207.99153147637992,207.07325783083354,206.17539026629933,205.29792878277723,204.44087338026728,203.6042240587695,202.7879808182838,201.99214365881028,201.2167125803489,200.46168758289969,199.72706866646257,199.01285583103763,198.3190490766248,197.64564840322413,196.9926538108356,196.3600652994592,195.74788286909495,195.15610651974285,194.5847362514029,194.03377206407507,193.50321395775939,192.99306193245584,192.50331598816445,192.03397612488519,191.58504234261807,191.1565146413631,190.74839302112025,190.36067748188958,189.99336802367102,189.6464646464646,189.31996735027036,189.01387613508822,188.72819100091823,188.4629119477604,188.2180389756147,187.99357208448114,187.78951127435974,187.60585654525045,187.44260789715332,187.29976533006834,187.17732884399547,187.07529843893477,186.9936741148862,186.93245587184978,186.8916437098255,186.87123762881336,186.87123762881336,186.8916437098255,186.93245587184978,186.9936741148862,187.07529843893477,187.17732884399547,187.29976533006834,187.44260789715332,187.60585654525045,187.78951127435974,187.99357208448114,188.2180389756147,188.4629119477604,188.72819100091823,189.01387613508822,189.31996735027036,189.6464646464646,189.99336802367102,190.36067748188958,190.74839302112025,191.1565146413631,191.58504234261807,192.03397612488519,192.50331598816445,192.99306193245584,193.50321395775939,194.03377206407507,194.5847362514029,195.15610651974285,195.74788286909495,196.36006529945922,196.9926538108356,197.64564840322413,198.3190490766248,199.01285583103763,199.72706866646257,200.46168758289969,201.2167125803489,201.9921436588103,202.7879808182838,203.6042240587695,204.44087338026728,205.29792878277723,206.17539026629933,207.07325783083354,207.99153147637992,208.93021120293844,209.8892970105091,210.8687888990919,211.86868686868684],[201.76767676767676,200.76777879808182,199.78828690949902,198.82920110192836,197.89052137536984,196.9722477298235,196.07438016528926,195.19691868176716,194.3398632792572,193.5032139577594,192.68697071727374,191.89113355780023,191.11570247933884,190.36067748188958,189.6260585654525,188.91184573002755,188.21803897561472,187.54463830221405,186.89164370982553,186.25905519844912,185.64687276808488,185.05509641873277,184.4837261503928,183.932761963065,183.4022038567493,182.89205183144577,182.40230588715437,181.9329660238751,181.484032241608,181.055504540353,180.64738292011018,180.2596673808795,179.89235792266095,179.54545454545453,179.21895724926028,178.91286603407815,178.62718089990815,178.36190184675033,178.1170288746046,177.89256198347107,177.68850117334966,177.50484644424037,177.34159779614325,177.19875522905826,177.0763187429854,176.9742883379247,176.89266401387613,176.8314457708397,176.79063360881543,176.77022752780329,176.77022752780329,176.79063360881543,176.8314457708397,176.89266401387613,176.9742883379247,177.0763187429854,177.19875522905826,177.34159779614325,177.50484644424037,177.68850117334966,177.89256198347107,178.1170288746046,178.36190184675033,178.62718089990815,178.91286603407815,179.21895724926028,179.54545454545453,179.89235792266095,180.2596673808795,180.64738292011018,181.055504540353,181.484032241608,181.9329660238751,182.40230588715437,182.89205183144577,183.4022038567493,183.932761963065,184.4837261503928,185.05509641873277,185.64687276808488,186.25905519844915,186.89164370982553,187.54463830221405,188.21803897561472,188.91184573002755,189.6260585654525,190.36067748188958,191.11570247933884,191.89113355780023,192.68697071727374,193.5032139577594,194.3398632792572,195.19691868176716,196.07438016528926,196.9722477298235,197.89052137536984,198.82920110192836,199.78828690949902,200.76777879808182,201.76767676767676],[191.66666666666666,190.66676869707172,189.68727680848892,188.72819100091826,187.78951127435974,186.8712376288134,185.97337006427915,185.09590858075705,184.2388531782471,183.4022038567493,182.58596061626363,181.79012345679013,181.01469237832873,180.25966738087948,179.5250484644424,178.81083562901745,178.1170288746046,177.44362820120395,176.79063360881543,176.15804509743901,175.54586266707477,174.95408631772267,174.3827160493827,173.8317518620549,173.3011937557392,172.79104173043567,172.30129578614427,171.831955922865,171.3830221405979,170.9544944393429,170.54637281910007,170.1586572798694,169.79134782165085,169.44444444444443,169.11794714825018,168.81185593306805,168.52617079889805,168.26089174574022,168.0160187735945,167.79155188246096,167.58749107233956,167.40383634323027,167.24058769513314,167.09774512804816,166.9753086419753,166.8732782369146,166.79165391286602,166.7304356698296,166.68962350780532,166.66921742679318,166.66921742679318,166.68962350780532,166.7304356698296,166.79165391286602,166.8732782369146,166.9753086419753,167.09774512804816,167.24058769513314,167.40383634323027,167.58749107233956,167.79155188246096,168.0160187735945,168.26089174574022,168.52617079889805,168.81185593306805,169.11794714825018,169.44444444444443,169.79134782165085,170.1586572798694,170.54637281910007,170.9544944393429,171.3830221405979,171.831955922865,172.30129578614427,172.79104173043567,173.3011937557392,173.8317518620549,174.3827160493827,174.95408631772267,175.54586266707477,176.15804509743904,176.79063360881543,177.44362820120395,178.1170288746046,178.81083562901745,179.5250484644424,180.25966738087948,181.01469237832873,181.79012345679013,182.58596061626363,183.4022038567493,184.2388531782471,185.09590858075705,185.97337006427915,186.8712376288134,187.78951127435974,188.72819100091826,189.68727680848892,190.66676869707172,191.66666666666666],[181.56565656565658,180.56575859606164,179.58626670747884,178.62718089990818,177.68850117334966,176.77022752780329,175.87235996326908,174.99489847974698,174.13784307723702,173.30119375573923,172.48495051525356,171.68911335578002,170.91368227731866,170.15865727986943,169.42403836343232,168.70982552800737,168.01601877359454,167.34261810019387,166.68962350780535,166.05703499642894,165.4448525660647,164.8530762167126,164.28170594837263,163.7307417610448,163.20018365472913,162.6900316294256,162.2002856851342,161.73094582185493,161.2820120395878,160.85348433833283,160.44536271809,160.05764717885933,159.69033772064077,159.34343434343435,159.0169370472401,158.71084583205797,158.42516069788797,158.15988164473015,157.91500867258443,157.6905417814509,157.48648097132948,157.3028262422202,157.13957759412307,156.99673502703808,156.8742985409652,156.7722681359045,156.69064381185595,156.62942556881953,156.58861340679525,156.5682073257831,156.5682073257831,156.58861340679525,156.62942556881953,156.69064381185595,156.7722681359045,156.8742985409652,156.99673502703808,157.13957759412307,157.3028262422202,157.48648097132948,157.6905417814509,157.91500867258443,158.15988164473015,158.42516069788797,158.71084583205797,159.0169370472401,159.34343434343435,159.69033772064077,160.05764717885933,160.44536271809,160.85348433833283,161.2820120395878,161.73094582185493,162.2002856851342,162.6900316294256,163.20018365472913,163.7307417610448,164.28170594837263,164.8530762167126,165.4448525660647,166.05703499642897,166.68962350780535,167.34261810019387,168.01601877359454,168.70982552800737,169.42403836343232,170.15865727986943,170.91368227731866,171.68911335578005,172.48495051525356,173.30119375573923,174.13784307723702,174.99489847974698,175.87235996326908,176.77022752780329,177.68850117334966,178.62718089990818,179.58626670747884,180.56575859606164,181.56565656565658],[171.46464646464645,170.4647484950515,169.4852566064687,168.52617079889805,167.58749107233953,166.66921742679318,165.77134986225894,164.89388837873685,164.0368329762269,163.2001836547291,162.38394041424343,161.58810325476992,160.81267217630852,160.05764717885927,159.32302826242218,158.60881542699724,157.9150086725844,157.24160799918374,156.58861340679522,155.9560248954188,155.34384246505456,154.75206611570246,154.1806958473625,153.62973166003468,153.099173553719,152.58902152841546,152.09927558412406,151.6299357208448,151.18100193857768,150.7524742373227,150.34435261707986,149.9566370778492,149.58932761963064,149.24242424242422,148.91592694622997,148.60983573104784,148.32415059687784,148.05887154372002,147.8139985715743,147.58953168044076,147.38547087031935,147.20181614121006,147.03856749311294,146.89572492602795,146.77328843995508,146.67125803489438,146.58963371084582,146.5284154678094,146.48760330578511,146.46719722477297,146.46719722477297,146.48760330578511,146.5284154678094,146.58963371084582,146.67125803489438,146.77328843995508,146.89572492602795,147.03856749311294,147.20181614121006,147.38547087031935,147.58953168044076,147.8139985715743,148.05887154372002,148.32415059687784,148.60983573104784,148.91592694622997,149.24242424242422,149.58932761963064,149.9566370778492,150.34435261707986,150.7524742373227,151.18100193857768,151.6299357208448,152.09927558412406,152.58902152841546,153.099173553719,153.62973166003468,154.1806958473625,154.75206611570246,155.34384246505456,155.95602489541884,156.58861340679522,157.24160799918374,157.9150086725844,158.60881542699724,159.32302826242218,160.05764717885927,160.81267217630852,161.58810325476992,162.38394041424343,163.2001836547291,164.0368329762269,164.89388837873685,165.77134986225894,166.66921742679318,167.58749107233953,168.52617079889805,169.4852566064687,170.4647484950515,171.46464646464645],[161.36363636363637,160.36373839404143,159.38424650545863,158.42516069788797,157.48648097132946,156.56820732578308,155.67033976124887,154.79287827772677,153.93582287521681,153.09917355371903,152.28293031323335,151.48709315375982,150.71166207529845,149.95663707784922,149.2220181614121,148.50780532598716,147.81399857157433,147.14059789817367,146.48760330578514,145.85501479440873,145.2428323640445,144.6510560146924,144.07968574635242,143.5287215590246,142.99816345270892,142.48801142740538,141.99826548311398,141.52892561983472,141.0799918375676,140.65146413631263,140.2433425160698,139.85562697683912,139.48831751862056,139.14141414141415,138.8149168452199,138.50882563003776,138.22314049586777,137.95786144270994,137.71298847056423,137.48852157943068,137.28446076930928,137.10080604019998,136.93755739210286,136.79471482501788,136.672278338945,136.5702479338843,136.48862360983574,136.42740536679932,136.38659320477504,136.3661871237629,136.3661871237629,136.38659320477504,136.42740536679932,136.48862360983574,136.5702479338843,136.672278338945,136.79471482501788,136.93755739210286,137.10080604019998,137.28446076930928,137.48852157943068,137.71298847056423,137.95786144270994,138.22314049586777,138.50882563003776,138.8149168452199,139.14141414141415,139.48831751862056,139.85562697683912,140.2433425160698,140.65146413631263,141.0799918375676,141.52892561983472,141.99826548311398,142.48801142740538,142.99816345270892,143.5287215590246,144.07968574635242,144.6510560146924,145.2428323640445,145.85501479440876,146.48760330578514,147.14059789817367,147.81399857157433,148.50780532598716,149.2220181614121,149.95663707784922,150.71166207529845,151.48709315375984,152.28293031323335,153.09917355371903,153.93582287521681,154.79287827772677,155.67033976124887,156.56820732578308,157.48648097132946,158.42516069788797,159.38424650545863,160.36373839404143,161.36363636363637],[151.26262626262627,150.26272829303133,149.28323640444853,148.32415059687787,147.38547087031935,146.46719722477297,145.56932966023874,144.69186817671667,143.8348127742067,142.9981634527089,142.18192021222325,141.3860830527497,140.61065197428834,139.8556269768391,139.121008060402,138.40679522497703,137.71298847056423,137.03958779716356,136.386593204775,135.75400469339863,135.14182226303438,134.55004591368228,133.9786756453423,133.42771145801447,132.8971533516988,132.38700132639525,131.89725538210385,131.4279155188246,130.9789817365575,130.55045403530252,130.14233241505968,129.754616875829,129.38730741761043,129.04040404040404,128.71390674420977,128.40781552902763,128.12213039485766,127.85685134169982,127.61197836955412,127.38751147842056,127.18345066829914,126.99979593918987,126.83654729109274,126.69370472400774,126.5712682379349,126.46923783287419,126.38761350882562,126.3263952657892,126.28558310376492,126.26517702275278,126.26517702275278,126.28558310376492,126.3263952657892,126.38761350882562,126.46923783287419,126.5712682379349,126.69370472400774,126.83654729109274,126.99979593918987,127.18345066829914,127.38751147842056,127.61197836955412,127.85685134169982,128.12213039485766,128.40781552902763,128.71390674420977,129.04040404040404,129.38730741761043,129.754616875829,130.14233241505968,130.55045403530252,130.9789817365575,131.4279155188246,131.89725538210385,132.38700132639525,132.8971533516988,133.42771145801447,133.9786756453423,134.55004591368228,135.14182226303438,135.75400469339863,136.386593204775,137.03958779716353,137.71298847056423,138.40679522497703,139.121008060402,139.8556269768391,140.61065197428832,141.3860830527497,142.18192021222325,142.99816345270892,143.8348127742067,144.69186817671664,145.56932966023874,146.46719722477297,147.38547087031935,148.32415059687787,149.28323640444853,150.26272829303133,151.26262626262627],[141.16161616161617,140.16171819202123,139.18222630343843,138.2231404958678,137.28446076930928,136.3661871237629,135.46831955922866,134.5908580757066,133.73380267319664,132.89715335169882,132.08091011121314,131.28507295173964,130.50964187327827,129.75461687582902,129.0199979593919,128.30578512396696,127.61197836955415,126.93857769615347,126.28558310376494,125.65299459238855,125.0408121620243,124.4490358126722,123.87766554433223,123.32670135700441,122.79614325068873,122.28599122538519,121.79624528109379,121.32690541781453,120.87797163554741,120.44944393429243,120.04132231404961,119.65360677481891,119.28629731660037,118.93939393939395,118.61289664319969,118.30680542801757,118.02112029384759,117.75584124068975,117.51096826854405,117.28650137741049,117.08244056728907,116.89878583817979,116.73553719008267,116.59269462299767,116.47025813692483,116.36822773186411,116.28660340781555,116.22538516477913,116.18457300275485,116.1641669217427,116.1641669217427,116.18457300275485,116.22538516477913,116.28660340781555,116.36822773186411,116.47025813692483,116.59269462299767,116.73553719008267,116.89878583817979,117.08244056728907,117.28650137741049,117.51096826854405,117.75584124068975,118.02112029384759,118.30680542801757,118.61289664319969,118.93939393939397,119.28629731660037,119.65360677481891,120.04132231404961,120.44944393429243,120.87797163554741,121.32690541781453,121.79624528109379,122.28599122538519,122.79614325068873,123.32670135700441,123.87766554433223,124.4490358126722,125.04081216202431,125.65299459238855,126.28558310376494,126.93857769615347,127.61197836955415,128.30578512396696,129.01999795939193,129.75461687582902,130.50964187327824,131.28507295173964,132.08091011121314,132.89715335169882,133.73380267319664,134.59085807570656,135.4683195592287,136.3661871237629,137.28446076930928,138.2231404958678,139.18222630343843,140.16171819202125,141.16161616161617],[131.06060606060606,130.06070809101112,129.08121620242832,128.12213039485766,127.18345066829916,126.26517702275278,125.36730945821854,124.48984797469646,123.63279257218652,122.79614325068871,121.97990001020304,121.18406285072952,120.40863177226814,119.6536067748189,118.9189878583818,118.20477502295684,117.51096826854403,116.83756759514335,116.18457300275482,115.55198449137843,114.93980206101418,114.34802571166207,113.77665544332211,113.22569125599429,112.69513314967861,112.18498112437507,111.69523518008367,111.22589531680441,110.77696153453729,110.34843383328231,109.94031221303949,109.5525966738088,109.18528721559025,108.83838383838383,108.51188654218957,108.20579532700745,107.92011019283747,107.65483113967963,107.40995816753393,107.18549127640037,106.98143046627895,106.79777573716967,106.63452708907255,106.49168452198755,106.36924803591471,106.26721763085399,106.18559330680543,106.12437506376901,106.08356290174473,106.06315682073259,106.06315682073259,106.08356290174473,106.12437506376901,106.18559330680543,106.26721763085399,106.36924803591471,106.49168452198755,106.63452708907255,106.79777573716967,106.98143046627895,107.18549127640037,107.40995816753393,107.65483113967963,107.92011019283747,108.20579532700745,108.51188654218957,108.83838383838383,109.18528721559025,109.5525966738088,109.94031221303949,110.34843383328231,110.77696153453729,111.22589531680441,111.69523518008367,112.18498112437507,112.69513314967861,113.22569125599429,113.77665544332211,114.34802571166207,114.93980206101419,115.55198449137843,116.18457300275482,116.83756759514335,117.51096826854403,118.20477502295684,118.9189878583818,119.6536067748189,120.40863177226814,121.18406285072952,121.97990001020304,122.79614325068871,123.63279257218652,124.48984797469646,125.36730945821856,126.26517702275278,127.18345066829914,128.12213039485766,129.08121620242832,130.06070809101112,131.06060606060606],[120.95959595959593,119.95969799000099,118.98020610141819,118.02112029384753,117.08244056728903,116.16416692174265,115.26629935720841,114.38883787368633,113.53178247117638,112.69513314967858,111.8788899091929,111.08305274971939,110.307621671258,109.55259667380876,108.81797775737166,108.1037649219467,107.4099581675339,106.73655749413322,106.08356290174468,105.4509743903683,104.83879196000404,104.24701561065194,103.67564534231198,103.12468115498416,102.59412304866848,102.08397102336494,101.59422507907354,101.12488521579428,100.67595143352716,100.24742373227218,99.83930211202936,99.45158657279866,99.08427711458012,98.7373737373737,98.41087644117944,98.10478522599732,97.81910009182734,97.5538210386695,97.3089480665238,97.08448117539024,96.88042036526882,96.69676563615954,96.53351698806242,96.39067442097742,96.26823793490458,96.16620752984386,96.0845832057953,96.02336496275888,95.9825528007346,95.96214671972245,95.96214671972245,95.9825528007346,96.02336496275888,96.0845832057953,96.16620752984386,96.26823793490458,96.39067442097742,96.53351698806242,96.69676563615954,96.88042036526882,97.08448117539024,97.3089480665238,97.5538210386695,97.81910009182734,98.10478522599732,98.41087644117944,98.7373737373737,99.08427711458012,99.45158657279866,99.83930211202936,100.24742373227218,100.67595143352716,101.12488521579428,101.59422507907354,102.08397102336494,102.59412304866848,103.12468115498416,103.67564534231198,104.24701561065194,104.83879196000406,105.4509743903683,106.08356290174468,106.73655749413322,107.4099581675339,108.1037649219467,108.81797775737166,109.55259667380876,110.307621671258,111.08305274971939,111.8788899091929,112.69513314967858,113.53178247117638,114.38883787368633,115.26629935720842,116.16416692174265,117.08244056728901,118.02112029384753,118.98020610141819,119.95969799000099,120.95959595959593],[110.8585858585859,109.85868788899096,108.87919600040816,107.92011019283751,106.981430466279,106.06315682073262,105.16528925619838,104.2878277726763,103.43077237016635,102.59412304866854,101.77787980818287,100.98204264870935,100.20661157024797,99.45158657279873,98.71696765636163,98.00275482093667,97.30894806652387,96.63554739312319,95.98255280073465,95.34996428935827,94.73778185899401,94.14600550964191,93.57463524130195,93.02367105397413,92.49311294765845,91.9829609223549,91.4932149780635,91.02387511478425,90.57494133251713,90.14641363126215,89.73829201101933,89.35057647178863,88.98326701357009,88.63636363636367,88.3098663401694,88.00377512498729,87.7180899908173,87.45281093765946,87.20793796551376,86.9834710743802,86.77941026425879,86.59575553514951,86.43250688705238,86.28966431996739,86.16722783389454,86.06519742883383,85.98357310478526,85.92235486174884,85.88154269972456,85.86113661871242,85.86113661871242,85.88154269972456,85.92235486174884,85.98357310478526,86.06519742883383,86.16722783389454,86.28966431996739,86.43250688705238,86.59575553514951,86.77941026425879,86.9834710743802,87.20793796551376,87.45281093765946,87.7180899908173,88.00377512498729,88.3098663401694,88.63636363636368,88.98326701357009,89.35057647178863,89.73829201101933,90.14641363126215,90.57494133251713,91.02387511478425,91.4932149780635,91.9829609223549,92.49311294765845,93.02367105397413,93.57463524130195,94.14600550964191,94.73778185899403,95.34996428935827,95.98255280073465,96.63554739312319,97.30894806652387,98.00275482093667,98.71696765636165,99.45158657279873,100.20661157024797,100.98204264870935,101.77787980818287,102.59412304866855,103.43077237016635,104.2878277726763,105.16528925619839,106.06315682073262,106.98143046627898,107.92011019283751,108.87919600040816,109.85868788899097,110.8585858585859],[100.75757575757578,99.75767778798084,98.77818589939804,97.81910009182738,96.88042036526888,95.9621467197225,95.06427915518826,94.18681767166618,93.32976226915623,92.49311294765843,91.67686970717276,90.88103254769923,90.10560146923785,89.35057647178861,88.61595755535151,87.90174471992655,87.20793796551375,86.53453729211307,85.88154269972453,85.24895418834815,84.6367717579839,84.04499540863179,83.47362514029183,82.92266095296401,82.39210284664833,81.88195082134479,81.39220487705339,80.92286501377413,80.47393123150701,80.04540353025203,79.63728191000921,79.24956637077851,78.88225691255997,78.53535353535355,78.20885623915929,77.90276502397717,77.61707988980719,77.35180083664935,77.10692786450365,76.88246097337009,76.67840016324867,76.49474543413939,76.33149678604227,76.18865421895727,76.06621773288443,75.96418732782371,75.88256300377515,75.82134476073873,75.78053259871444,75.7601265177023,75.7601265177023,75.78053259871444,75.82134476073873,75.88256300377515,75.96418732782371,76.06621773288443,76.18865421895727,76.33149678604227,76.49474543413939,76.67840016324867,76.88246097337009,77.10692786450365,77.35180083664935,77.61707988980719,77.90276502397717,78.20885623915929,78.53535353535355,78.88225691255997,79.24956637077851,79.63728191000921,80.04540353025203,80.47393123150701,80.92286501377413,81.39220487705339,81.88195082134479,82.39210284664833,82.92266095296401,83.47362514029183,84.04499540863179,84.63677175798391,85.24895418834815,85.88154269972453,86.53453729211307,87.20793796551375,87.90174471992655,88.61595755535151,89.35057647178861,90.10560146923785,90.88103254769923,91.67686970717276,92.49311294765843,93.32976226915623,94.18681767166618,95.06427915518827,95.9621467197225,96.88042036526886,97.81910009182738,98.77818589939804,99.75767778798084,100.75757575757578],[90.65656565656566,89.65666768697072,88.67717579838792,87.71808999081728,86.77941026425876,85.86113661871238,84.96326905417814,84.08580757065606,83.22875216814612,82.3921028466483,81.57585960616264,80.78002244668912,80.00459136822774,79.2495663707785,78.5149474543414,77.80073461891644,77.10692786450363,76.43352719110295,75.78053259871442,75.14794408733803,74.53576165697378,73.94398530762167,73.37261503928171,72.82165085195389,72.29109274563821,71.78094072033467,71.29119477604327,70.82185491276401,70.37292113049689,69.94439342924191,69.53627180899909,69.14855626976839,68.78124681154985,68.43434343434343,68.10784613814917,67.80175492296705,67.51606978879707,67.25079073563923,67.00591776349353,66.78145087235997,66.57739006223855,66.39373533312927,66.23048668503215,66.08764411794715,65.9652076318743,65.86317722681359,65.78155290276503,65.72033465972861,65.67952249770433,65.65911641669219,65.65911641669219,65.67952249770433,65.72033465972861,65.78155290276503,65.86317722681359,65.9652076318743,66.08764411794715,66.23048668503215,66.39373533312927,66.57739006223855,66.78145087235997,67.00591776349353,67.25079073563923,67.51606978879707,67.80175492296705,68.10784613814917,68.43434343434345,68.78124681154985,69.14855626976839,69.53627180899909,69.94439342924191,70.37292113049689,70.82185491276401,71.29119477604327,71.78094072033467,72.29109274563821,72.82165085195389,73.37261503928171,73.94398530762167,74.53576165697379,75.14794408733803,75.78053259871442,76.43352719110295,77.10692786450363,77.80073461891644,78.51494745434141,79.2495663707785,80.00459136822774,80.78002244668912,81.57585960616264,82.39210284664831,83.22875216814612,84.08580757065606,84.96326905417816,85.86113661871238,86.77941026425874,87.71808999081728,88.67717579838792,89.65666768697074,90.65656565656566],[80.55555555555554,79.5556575859606,78.5761656973778,77.61707988980714,76.67840016324863,75.76012651770225,74.86225895316802,73.98479746964594,73.12774206713598,72.29109274563818,71.47484950515252,70.67901234567898,69.90358126721762,69.14855626976836,68.41393735333128,67.69972451790632,67.0059177634935,66.33251709009284,65.6795224977043,65.0469339863279,64.43475155596366,63.842975206611555,63.27160493827159,62.720640750943765,62.19008264462808,61.67993061932454,61.19018467503314,60.720844811753885,60.271911029486766,59.843383328231795,59.435261707988964,59.04754616875827,58.680236710539724,58.333333333333314,58.006836037139045,57.700744821956924,57.41505968778694,57.1497806346291,56.9049076624834,56.68044077134984,56.476379961228425,56.29272523211915,56.12947658402202,55.986634016937025,55.864197530864175,55.76216712580347,55.6805428017549,55.61932455871848,55.578512396694194,55.55810631568205,55.55810631568205,55.578512396694194,55.61932455871848,55.6805428017549,55.76216712580347,55.864197530864175,55.986634016937025,56.12947658402202,56.29272523211915,56.476379961228425,56.68044077134984,56.9049076624834,57.1497806346291,57.41505968778694,57.700744821956924,58.006836037139045,58.333333333333314,58.68023671053972,59.04754616875827,59.435261707988964,59.843383328231795,60.271911029486766,60.72084481175388,61.19018467503314,61.67993061932454,62.19008264462808,62.72064075094376,63.27160493827159,63.842975206611555,64.43475155596366,65.04693398632791,65.6795224977043,66.33251709009282,67.0059177634935,67.69972451790632,68.41393735333128,69.14855626976836,69.9035812672176,70.679012345679,71.47484950515252,72.2910927456382,73.12774206713598,73.98479746964593,74.86225895316804,75.76012651770225,76.67840016324863,77.61707988980714,78.5761656973778,79.5556575859606,80.55555555555554],[70.45454545454541,69.45464748495047,68.47515559636767,67.51606978879701,66.5773900622385,65.65911641669213,64.76124885215789,63.88378736863581,63.026731966125865,62.190082644628056,61.37383940414239,60.578002244668866,59.802571166207485,59.047546168758245,58.312927252321145,57.59871441689619,56.90490766248338,56.2315069890827,55.57851239669417,54.94592388531778,54.33374145495353,53.74196510560142,53.17059483726146,52.61963064993364,52.08907254361795,51.57892051831441,51.08917457402301,50.61983471074376,50.17090092847664,49.74237322722167,49.33425160697884,48.94653606774814,48.5792266095296,48.23232323232319,47.90582593612892,47.5997347209468,47.31404958677682,47.04877053361898,46.80389756147328,46.57943067033972,46.3753698602183,46.19171513110903,46.0284664830119,45.8856239159269,45.76318742985405,45.66115702479335,45.57953270074478,45.51831445770836,45.47750229568407,45.45709621467193,45.45709621467193,45.47750229568407,45.51831445770836,45.57953270074478,45.66115702479335,45.76318742985405,45.8856239159269,46.0284664830119,46.19171513110903,46.3753698602183,46.57943067033972,46.80389756147328,47.04877053361898,47.31404958677682,47.5997347209468,47.90582593612892,48.23232323232319,48.57922660952959,48.94653606774814,49.33425160697884,49.74237322722167,50.17090092847664,50.61983471074376,51.08917457402301,51.57892051831441,52.08907254361796,52.61963064993363,53.17059483726146,53.74196510560142,54.33374145495353,54.94592388531778,55.57851239669417,56.231506989082696,56.90490766248338,57.598714416896186,58.31292725232115,59.047546168758245,59.80257116620748,60.578002244668866,61.37383940414239,62.19008264462806,63.026731966125865,63.88378736863581,64.7612488521579,65.65911641669213,66.57739006223849,67.51606978879701,68.47515559636767,69.45464748495047,70.45454545454541],[60.35353535353538,59.35363738394044,58.37414549535764,57.415059687786986,56.476379961228474,55.558106315682096,54.66023875114786,53.782777267625775,52.92572186511583,52.08907254361802,51.272829303132355,50.47699214365883,49.70156106519745,48.94653606774821,48.21191715131111,47.49770431588616,46.80389756147335,46.13049688807267,45.47750229568414,44.84491378430775,44.2327313539435,43.64095500459139,43.06958473625143,42.51862054892361,41.98806244260792,41.47791041730438,40.98816447301298,40.51882460973373,40.06989082746661,39.64136312621164,39.233241505968806,38.84552596673811,38.478216508519566,38.131313131313156,37.80481583511889,37.498724619936766,37.213039485766785,36.947760432608945,36.702887460463245,36.478420569329685,36.27435975920827,36.090705030098995,35.927456382001864,35.78461381491687,35.66217732884402,35.560146923783314,35.478522599734745,35.417304356698324,35.376492194674036,35.356086113661895,35.356086113661895,35.376492194674036,35.417304356698324,35.478522599734745,35.560146923783314,35.66217732884402,35.78461381491687,35.927456382001864,36.090705030098995,36.27435975920827,36.478420569329685,36.702887460463245,36.947760432608945,37.213039485766785,37.498724619936766,37.80481583511889,38.131313131313156,38.47821650851956,38.84552596673811,39.233241505968806,39.64136312621164,40.06989082746661,40.51882460973373,40.98816447301298,41.47791041730438,41.98806244260793,42.5186205489236,43.06958473625143,43.64095500459139,44.2327313539435,44.84491378430775,45.47750229568414,46.13049688807266,46.80389756147335,47.49770431588615,48.21191715131112,48.94653606774821,49.701561065197446,50.47699214365883,51.272829303132355,52.08907254361803,52.92572186511583,53.782777267625775,54.66023875114787,55.558106315682096,56.47637996122846,57.415059687786986,58.37414549535764,59.353637383940445,60.35353535353538],[50.25252525252526,49.25262728293032,48.27313539434752,47.31404958677687,46.375369860218356,45.45709621467198,44.55922865013774,43.68176716661566,42.824711764105714,41.988062442607905,41.17181920212224,40.375982042648715,39.600550964187335,38.845525966738094,38.110907050300995,37.39669421487604,36.70288746046323,36.02948678706255,35.37649219467402,34.74390368329763,34.13172125293338,33.53994490358127,32.96857463524131,32.41761044791349,31.8870523415978,31.376900316294265,30.887154372002865,30.41781450872361,29.96888072645649,29.540353025201515,29.132231404958684,28.744515865727994,28.377206407509444,28.03030303030304,27.703805734108773,27.397714518926648,27.112029384756664,26.846750331598823,26.601877359453123,26.377410468319567,26.17334965819815,25.989694929088877,25.826446280991743,25.683603713906752,25.561167227833902,25.459136822773193,25.377512498724627,25.316294255688202,25.275482093663918,25.255076012651777,25.255076012651777,25.275482093663918,25.316294255688202,25.377512498724627,25.459136822773193,25.561167227833902,25.683603713906752,25.826446280991743,25.989694929088877,26.17334965819815,26.377410468319567,26.601877359453123,26.846750331598823,27.112029384756664,27.397714518926648,27.703805734108773,28.03030303030304,28.377206407509444,28.744515865727994,29.132231404958684,29.54035302520152,29.968880726456494,30.417814508723605,30.887154372002865,31.376900316294265,31.887052341597805,32.41761044791348,32.96857463524131,33.53994490358127,34.13172125293338,34.74390368329763,35.37649219467402,36.029486787062545,36.70288746046323,37.396694214876035,38.110907050301,38.845525966738094,39.60055096418733,40.375982042648715,41.17181920212224,41.98806244260791,42.824711764105714,43.68176716661566,44.559228650137754,45.45709621467198,46.37536986021834,47.31404958677687,48.27313539434752,49.25262728293033,50.25252525252526],[40.15151515151514,39.1516171819202,38.1721252933374,37.21303948576674,36.27435975920823,35.35608611366186,34.45821854912762,33.58075706560554,32.72370166309559,31.887052341597784,31.070809101112115,30.274971941638594,29.499540863177216,28.744515865727973,28.009896949290873,27.295684113865917,26.601877359453105,25.92847668605243,25.275482093663896,24.642893582287506,24.030711151923256,23.438934802571154,22.867564534231185,22.316600346903364,21.786042240587683,21.275890215284143,20.786144270992743,20.316804407713487,19.86787062544637,19.439342924191394,19.031221303948563,18.643505764717872,18.276196306499322,17.929292929292917,17.60279563309865,17.296704417916526,17.011019283746542,16.7457402305887,16.500867258443,16.276400367309446,16.072339557188027,15.888684828078755,15.725436179981621,15.58259361289663,15.46015712682378,15.358126721763071,15.276502397714506,15.21528415467808,15.174471992653798,15.154065911641656,15.154065911641656,15.174471992653798,15.21528415467808,15.276502397714506,15.358126721763071,15.46015712682378,15.58259361289663,15.725436179981621,15.888684828078755,16.072339557188027,16.276400367309446,16.500867258443,16.7457402305887,17.011019283746542,17.296704417916526,17.60279563309865,17.929292929292917,18.276196306499322,18.643505764717872,19.031221303948563,19.439342924191397,19.867870625446372,20.316804407713484,20.786144270992743,21.275890215284143,21.786042240587683,22.316600346903364,22.867564534231185,23.438934802571154,24.030711151923263,24.642893582287513,25.275482093663896,25.928476686052427,26.601877359453105,27.295684113865917,28.00989694929088,28.744515865727973,29.49954086317721,30.274971941638597,31.070809101112115,31.88705234159779,32.72370166309559,33.58075706560553,34.458218549127636,35.35608611366186,36.274359759208224,37.21303948576674,38.1721252933374,39.1516171819202,40.15151515151514],[30.050505050505016,29.050607080910076,28.071115192327277,27.112029384756624,26.17334965819811,25.255076012651735,24.3572084481175,23.479746964595417,22.622691562085468,21.786042240587662,20.969799000101993,20.173961840628472,19.39853076216709,18.64350576471785,17.90888684828075,17.1946740128558,16.500867258442984,15.827466585042309,15.174471992653777,14.541883481277386,13.929701050913136,13.337924701561032,12.766554433221065,12.215590245893242,11.68503213957756,11.174880114274021,10.685134169982621,10.215794306703366,9.766860524436247,9.338332823181272,8.930211202938441,8.54249566370775,8.1751862054892,7.828282828282793,7.501785532088529,7.195694316906404,6.910009182736422,6.64473012957858,6.399857157432882,6.175390266299323,5.971329456177907,5.787674727068633,5.624426078971499,5.481583511886508,5.359147025813658,5.25711662075295,5.175492296704384,5.114274053667959,5.073461891643675,5.053055810631534,5.053055810631534,5.073461891643675,5.114274053667959,5.175492296704384,5.25711662075295,5.359147025813658,5.481583511886508,5.624426078971499,5.787674727068633,5.971329456177907,6.175390266299323,6.399857157432882,6.644730129578582,6.91000918273642,7.195694316906404,7.501785532088529,7.828282828282795,8.1751862054892,8.54249566370775,8.930211202938441,9.338332823181275,9.76686052443625,10.215794306703362,10.685134169982621,11.174880114274021,11.685032139577562,12.21559024589324,12.766554433221065,13.337924701561032,13.92970105091314,14.54188348127739,15.174471992653777,15.827466585042304,16.500867258442984,17.194674012855792,17.90888684828076,18.64350576471785,19.398530762167084,20.173961840628476,20.969799000101993,21.78604224058767,22.622691562085468,23.47974696459541,24.35720844811751,25.255076012651735,26.173349658198102,27.112029384756624,28.071115192327277,29.050607080910083,30.050505050505016],[30.050505050505016,29.050607080910076,28.071115192327277,27.112029384756624,26.17334965819811,25.255076012651735,24.3572084481175,23.479746964595417,22.622691562085468,21.786042240587662,20.969799000101993,20.173961840628472,19.39853076216709,18.64350576471785,17.90888684828075,17.1946740128558,16.500867258442984,15.827466585042309,15.174471992653777,14.541883481277386,13.929701050913136,13.337924701561032,12.766554433221065,12.215590245893242,11.68503213957756,11.174880114274021,10.685134169982621,10.215794306703366,9.766860524436247,9.338332823181272,8.930211202938441,8.54249566370775,8.1751862054892,7.828282828282793,7.501785532088529,7.195694316906404,6.910009182736422,6.64473012957858,6.399857157432882,6.175390266299323,5.971329456177907,5.787674727068633,5.624426078971499,5.481583511886508,5.359147025813658,5.25711662075295,5.175492296704384,5.114274053667959,5.073461891643675,5.053055810631534,5.053055810631534,5.073461891643675,5.114274053667959,5.175492296704384,5.25711662075295,5.359147025813658,5.481583511886508,5.624426078971499,5.787674727068633,5.971329456177907,6.175390266299323,6.399857157432882,6.644730129578582,6.91000918273642,7.195694316906404,7.501785532088529,7.828282828282795,8.1751862054892,8.54249566370775,8.930211202938441,9.338332823181275,9.76686052443625,10.215794306703362,10.685134169982621,11.174880114274021,11.685032139577562,12.21559024589324,12.766554433221065,13.337924701561032,13.92970105091314,14.54188348127739,15.174471992653777,15.827466585042304,16.500867258442984,17.194674012855792,17.90888684828076,18.64350576471785,19.398530762167084,20.173961840628476,20.969799000101993,21.78604224058767,22.622691562085468,23.47974696459541,24.35720844811751,25.255076012651735,26.173349658198102,27.112029384756624,28.071115192327277,29.050607080910083,30.050505050505016],[40.15151515151514,39.1516171819202,38.1721252933374,37.21303948576674,36.27435975920823,35.35608611366186,34.45821854912762,33.58075706560554,32.72370166309559,31.887052341597784,31.070809101112115,30.274971941638594,29.499540863177216,28.744515865727973,28.009896949290873,27.295684113865917,26.601877359453105,25.92847668605243,25.275482093663896,24.642893582287506,24.030711151923256,23.438934802571154,22.867564534231185,22.316600346903364,21.786042240587683,21.275890215284143,20.786144270992743,20.316804407713487,19.86787062544637,19.439342924191394,19.031221303948563,18.643505764717872,18.276196306499322,17.929292929292917,17.60279563309865,17.296704417916526,17.011019283746542,16.7457402305887,16.500867258443,16.276400367309446,16.072339557188027,15.888684828078755,15.725436179981621,15.58259361289663,15.46015712682378,15.358126721763071,15.276502397714506,15.21528415467808,15.174471992653798,15.154065911641656,15.154065911641656,15.174471992653798,15.21528415467808,15.276502397714506,15.358126721763071,15.46015712682378,15.58259361289663,15.725436179981621,15.888684828078755,16.072339557188027,16.276400367309446,16.500867258443,16.7457402305887,17.011019283746542,17.296704417916526,17.60279563309865,17.929292929292917,18.276196306499322,18.643505764717872,19.031221303948563,19.439342924191397,19.867870625446372,20.316804407713484,20.786144270992743,21.275890215284143,21.786042240587683,22.316600346903364,22.867564534231185,23.438934802571154,24.030711151923263,24.642893582287513,25.275482093663896,25.928476686052427,26.601877359453105,27.295684113865917,28.00989694929088,28.744515865727973,29.49954086317721,30.274971941638597,31.070809101112115,31.88705234159779,32.72370166309559,33.58075706560553,34.458218549127636,35.35608611366186,36.274359759208224,37.21303948576674,38.1721252933374,39.1516171819202,40.15151515151514],[50.25252525252526,49.25262728293032,48.27313539434752,47.31404958677687,46.375369860218356,45.45709621467198,44.55922865013774,43.68176716661566,42.824711764105714,41.988062442607905,41.17181920212224,40.375982042648715,39.600550964187335,38.845525966738094,38.110907050300995,37.39669421487604,36.70288746046323,36.02948678706255,35.37649219467402,34.74390368329763,34.13172125293338,33.53994490358127,32.96857463524131,32.41761044791349,31.8870523415978,31.376900316294265,30.887154372002865,30.41781450872361,29.96888072645649,29.540353025201515,29.132231404958684,28.744515865727994,28.377206407509444,28.03030303030304,27.703805734108773,27.397714518926648,27.112029384756664,26.846750331598823,26.601877359453123,26.377410468319567,26.17334965819815,25.989694929088877,25.826446280991743,25.683603713906752,25.561167227833902,25.459136822773193,25.377512498724627,25.316294255688202,25.275482093663918,25.255076012651777,25.255076012651777,25.275482093663918,25.316294255688202,25.377512498724627,25.459136822773193,25.561167227833902,25.683603713906752,25.826446280991743,25.989694929088877,26.17334965819815,26.377410468319567,26.601877359453123,26.846750331598823,27.112029384756664,27.397714518926648,27.703805734108773,28.03030303030304,28.377206407509444,28.744515865727994,29.132231404958684,29.54035302520152,29.968880726456494,30.417814508723605,30.887154372002865,31.376900316294265,31.887052341597805,32.41761044791348,32.96857463524131,33.53994490358127,34.13172125293338,34.74390368329763,35.37649219467402,36.029486787062545,36.70288746046323,37.396694214876035,38.110907050301,38.845525966738094,39.60055096418733,40.375982042648715,41.17181920212224,41.98806244260791,42.824711764105714,43.68176716661566,44.559228650137754,45.45709621467198,46.37536986021834,47.31404958677687,48.27313539434752,49.25262728293033,50.25252525252526],[60.35353535353538,59.35363738394044,58.37414549535764,57.415059687786986,56.476379961228474,55.558106315682096,54.66023875114786,53.782777267625775,52.92572186511583,52.08907254361802,51.272829303132355,50.47699214365883,49.70156106519745,48.94653606774821,48.21191715131111,47.49770431588616,46.80389756147335,46.13049688807267,45.47750229568414,44.84491378430775,44.2327313539435,43.64095500459139,43.06958473625143,42.51862054892361,41.98806244260792,41.47791041730438,40.98816447301298,40.51882460973373,40.06989082746661,39.64136312621164,39.233241505968806,38.84552596673811,38.478216508519566,38.131313131313156,37.80481583511889,37.498724619936766,37.213039485766785,36.947760432608945,36.702887460463245,36.478420569329685,36.27435975920827,36.090705030098995,35.927456382001864,35.78461381491687,35.66217732884402,35.560146923783314,35.478522599734745,35.417304356698324,35.376492194674036,35.356086113661895,35.356086113661895,35.376492194674036,35.417304356698324,35.478522599734745,35.560146923783314,35.66217732884402,35.78461381491687,35.927456382001864,36.090705030098995,36.27435975920827,36.478420569329685,36.702887460463245,36.947760432608945,37.213039485766785,37.498724619936766,37.80481583511889,38.131313131313156,38.47821650851956,38.84552596673811,39.233241505968806,39.64136312621164,40.06989082746661,40.51882460973373,40.98816447301298,41.47791041730438,41.98806244260793,42.5186205489236,43.06958473625143,43.64095500459139,44.2327313539435,44.84491378430775,45.47750229568414,46.13049688807266,46.80389756147335,47.49770431588615,48.21191715131112,48.94653606774821,49.701561065197446,50.47699214365883,51.272829303132355,52.08907254361803,52.92572186511583,53.782777267625775,54.66023875114787,55.558106315682096,56.47637996122846,57.415059687786986,58.37414549535764,59.353637383940445,60.35353535353538],[70.45454545454541,69.45464748495047,68.47515559636767,67.51606978879701,66.5773900622385,65.65911641669213,64.76124885215789,63.88378736863581,63.026731966125865,62.190082644628056,61.37383940414239,60.578002244668866,59.802571166207485,59.047546168758245,58.312927252321145,57.59871441689619,56.90490766248338,56.2315069890827,55.57851239669417,54.94592388531778,54.33374145495353,53.74196510560142,53.17059483726146,52.61963064993364,52.08907254361795,51.57892051831441,51.08917457402301,50.61983471074376,50.17090092847664,49.74237322722167,49.33425160697884,48.94653606774814,48.5792266095296,48.23232323232319,47.90582593612892,47.5997347209468,47.31404958677682,47.04877053361898,46.80389756147328,46.57943067033972,46.3753698602183,46.19171513110903,46.0284664830119,45.8856239159269,45.76318742985405,45.66115702479335,45.57953270074478,45.51831445770836,45.47750229568407,45.45709621467193,45.45709621467193,45.47750229568407,45.51831445770836,45.57953270074478,45.66115702479335,45.76318742985405,45.8856239159269,46.0284664830119,46.19171513110903,46.3753698602183,46.57943067033972,46.80389756147328,47.04877053361898,47.31404958677682,47.5997347209468,47.90582593612892,48.23232323232319,48.57922660952959,48.94653606774814,49.33425160697884,49.74237322722167,50.17090092847664,50.61983471074376,51.08917457402301,51.57892051831441,52.08907254361796,52.61963064993363,53.17059483726146,53.74196510560142,54.33374145495353,54.94592388531778,55.57851239669417,56.231506989082696,56.90490766248338,57.598714416896186,58.31292725232115,59.047546168758245,59.80257116620748,60.578002244668866,61.37383940414239,62.19008264462806,63.026731966125865,63.88378736863581,64.7612488521579,65.65911641669213,66.57739006223849,67.51606978879701,68.47515559636767,69.45464748495047,70.45454545454541],[80.55555555555554,79.5556575859606,78.5761656973778,77.61707988980714,76.67840016324863,75.76012651770225,74.86225895316802,73.98479746964594,73.12774206713598,72.29109274563818,71.47484950515252,70.67901234567898,69.90358126721762,69.14855626976836,68.41393735333128,67.69972451790632,67.0059177634935,66.33251709009284,65.6795224977043,65.0469339863279,64.43475155596366,63.842975206611555,63.27160493827159,62.720640750943765,62.19008264462808,61.67993061932454,61.19018467503314,60.720844811753885,60.271911029486766,59.843383328231795,59.435261707988964,59.04754616875827,58.680236710539724,58.333333333333314,58.006836037139045,57.700744821956924,57.41505968778694,57.1497806346291,56.9049076624834,56.68044077134984,56.476379961228425,56.29272523211915,56.12947658402202,55.986634016937025,55.864197530864175,55.76216712580347,55.6805428017549,55.61932455871848,55.578512396694194,55.55810631568205,55.55810631568205,55.578512396694194,55.61932455871848,55.6805428017549,55.76216712580347,55.864197530864175,55.986634016937025,56.12947658402202,56.29272523211915,56.476379961228425,56.68044077134984,56.9049076624834,57.1497806346291,57.41505968778694,57.700744821956924,58.006836037139045,58.333333333333314,58.68023671053972,59.04754616875827,59.435261707988964,59.843383328231795,60.271911029486766,60.72084481175388,61.19018467503314,61.67993061932454,62.19008264462808,62.72064075094376,63.27160493827159,63.842975206611555,64.43475155596366,65.04693398632791,65.6795224977043,66.33251709009282,67.0059177634935,67.69972451790632,68.41393735333128,69.14855626976836,69.9035812672176,70.679012345679,71.47484950515252,72.2910927456382,73.12774206713598,73.98479746964593,74.86225895316804,75.76012651770225,76.67840016324863,77.61707988980714,78.5761656973778,79.5556575859606,80.55555555555554],[90.65656565656566,89.65666768697072,88.67717579838792,87.71808999081728,86.77941026425876,85.86113661871238,84.96326905417814,84.08580757065606,83.22875216814612,82.3921028466483,81.57585960616264,80.78002244668912,80.00459136822774,79.2495663707785,78.5149474543414,77.80073461891644,77.10692786450363,76.43352719110295,75.78053259871442,75.14794408733803,74.53576165697378,73.94398530762167,73.37261503928171,72.82165085195389,72.29109274563821,71.78094072033467,71.29119477604327,70.82185491276401,70.37292113049689,69.94439342924191,69.53627180899909,69.14855626976839,68.78124681154985,68.43434343434343,68.10784613814917,67.80175492296705,67.51606978879707,67.25079073563923,67.00591776349353,66.78145087235997,66.57739006223855,66.39373533312927,66.23048668503215,66.08764411794715,65.9652076318743,65.86317722681359,65.78155290276503,65.72033465972861,65.67952249770433,65.65911641669219,65.65911641669219,65.67952249770433,65.72033465972861,65.78155290276503,65.86317722681359,65.9652076318743,66.08764411794715,66.23048668503215,66.39373533312927,66.57739006223855,66.78145087235997,67.00591776349353,67.25079073563923,67.51606978879707,67.80175492296705,68.10784613814917,68.43434343434345,68.78124681154985,69.14855626976839,69.53627180899909,69.94439342924191,70.37292113049689,70.82185491276401,71.29119477604327,71.78094072033467,72.29109274563821,72.82165085195389,73.37261503928171,73.94398530762167,74.53576165697379,75.14794408733803,75.78053259871442,76.43352719110295,77.10692786450363,77.80073461891644,78.51494745434141,79.2495663707785,80.00459136822774,80.78002244668912,81.57585960616264,82.39210284664831,83.22875216814612,84.08580757065606,84.96326905417816,85.86113661871238,86.77941026425874,87.71808999081728,88.67717579838792,89.65666768697074,90.65656565656566],[100.75757575757578,99.75767778798084,98.77818589939804,97.81910009182738,96.88042036526888,95.9621467197225,95.06427915518826,94.18681767166618,93.32976226915623,92.49311294765843,91.67686970717276,90.88103254769923,90.10560146923785,89.35057647178861,88.61595755535151,87.90174471992655,87.20793796551375,86.53453729211307,85.88154269972453,85.24895418834815,84.6367717579839,84.04499540863179,83.47362514029183,82.92266095296401,82.39210284664833,81.88195082134479,81.39220487705339,80.92286501377413,80.47393123150701,80.04540353025203,79.63728191000921,79.24956637077851,78.88225691255997,78.53535353535355,78.20885623915929,77.90276502397717,77.61707988980719,77.35180083664935,77.10692786450365,76.88246097337009,76.67840016324867,76.49474543413939,76.33149678604227,76.18865421895727,76.06621773288443,75.96418732782371,75.88256300377515,75.82134476073873,75.78053259871444,75.7601265177023,75.7601265177023,75.78053259871444,75.82134476073873,75.88256300377515,75.96418732782371,76.06621773288443,76.18865421895727,76.33149678604227,76.49474543413939,76.67840016324867,76.88246097337009,77.10692786450365,77.35180083664935,77.61707988980719,77.90276502397717,78.20885623915929,78.53535353535355,78.88225691255997,79.24956637077851,79.63728191000921,80.04540353025203,80.47393123150701,80.92286501377413,81.39220487705339,81.88195082134479,82.39210284664833,82.92266095296401,83.47362514029183,84.04499540863179,84.63677175798391,85.24895418834815,85.88154269972453,86.53453729211307,87.20793796551375,87.90174471992655,88.61595755535151,89.35057647178861,90.10560146923785,90.88103254769923,91.67686970717276,92.49311294765843,93.32976226915623,94.18681767166618,95.06427915518827,95.9621467197225,96.88042036526886,97.81910009182738,98.77818589939804,99.75767778798084,100.75757575757578],[110.8585858585859,109.85868788899096,108.87919600040816,107.92011019283751,106.981430466279,106.06315682073262,105.16528925619838,104.2878277726763,103.43077237016635,102.59412304866854,101.77787980818287,100.98204264870935,100.20661157024797,99.45158657279873,98.71696765636163,98.00275482093667,97.30894806652387,96.63554739312319,95.98255280073465,95.34996428935827,94.73778185899401,94.14600550964191,93.57463524130195,93.02367105397413,92.49311294765845,91.9829609223549,91.4932149780635,91.02387511478425,90.57494133251713,90.14641363126215,89.73829201101933,89.35057647178863,88.98326701357009,88.63636363636367,88.3098663401694,88.00377512498729,87.7180899908173,87.45281093765946,87.20793796551376,86.9834710743802,86.77941026425879,86.59575553514951,86.43250688705238,86.28966431996739,86.16722783389454,86.06519742883383,85.98357310478526,85.92235486174884,85.88154269972456,85.86113661871242,85.86113661871242,85.88154269972456,85.92235486174884,85.98357310478526,86.06519742883383,86.16722783389454,86.28966431996739,86.43250688705238,86.59575553514951,86.77941026425879,86.9834710743802,87.20793796551376,87.45281093765946,87.7180899908173,88.00377512498729,88.3098663401694,88.63636363636368,88.98326701357009,89.35057647178863,89.73829201101933,90.14641363126215,90.57494133251713,91.02387511478425,91.4932149780635,91.9829609223549,92.49311294765845,93.02367105397413,93.57463524130195,94.14600550964191,94.73778185899403,95.34996428935827,95.98255280073465,96.63554739312319,97.30894806652387,98.00275482093667,98.71696765636165,99.45158657279873,100.20661157024797,100.98204264870935,101.77787980818287,102.59412304866855,103.43077237016635,104.2878277726763,105.16528925619839,106.06315682073262,106.98143046627898,107.92011019283751,108.87919600040816,109.85868788899097,110.8585858585859],[120.95959595959593,119.95969799000099,118.98020610141819,118.02112029384753,117.08244056728903,116.16416692174265,115.26629935720841,114.38883787368633,113.53178247117638,112.69513314967858,111.8788899091929,111.08305274971939,110.307621671258,109.55259667380876,108.81797775737166,108.1037649219467,107.4099581675339,106.73655749413322,106.08356290174468,105.4509743903683,104.83879196000404,104.24701561065194,103.67564534231198,103.12468115498416,102.59412304866848,102.08397102336494,101.59422507907354,101.12488521579428,100.67595143352716,100.24742373227218,99.83930211202936,99.45158657279866,99.08427711458012,98.7373737373737,98.41087644117944,98.10478522599732,97.81910009182734,97.5538210386695,97.3089480665238,97.08448117539024,96.88042036526882,96.69676563615954,96.53351698806242,96.39067442097742,96.26823793490458,96.16620752984386,96.0845832057953,96.02336496275888,95.9825528007346,95.96214671972245,95.96214671972245,95.9825528007346,96.02336496275888,96.0845832057953,96.16620752984386,96.26823793490458,96.39067442097742,96.53351698806242,96.69676563615954,96.88042036526882,97.08448117539024,97.3089480665238,97.5538210386695,97.81910009182734,98.10478522599732,98.41087644117944,98.7373737373737,99.08427711458012,99.45158657279866,99.83930211202936,100.24742373227218,100.67595143352716,101.12488521579428,101.59422507907354,102.08397102336494,102.59412304866848,103.12468115498416,103.67564534231198,104.24701561065194,104.83879196000406,105.4509743903683,106.08356290174468,106.73655749413322,107.4099581675339,108.1037649219467,108.81797775737166,109.55259667380876,110.307621671258,111.08305274971939,111.8788899091929,112.69513314967858,113.53178247117638,114.38883787368633,115.26629935720842,116.16416692174265,117.08244056728901,118.02112029384753,118.98020610141819,119.95969799000099,120.95959595959593],[131.06060606060606,130.06070809101112,129.08121620242832,128.12213039485766,127.18345066829916,126.26517702275278,125.36730945821854,124.48984797469646,123.63279257218652,122.79614325068871,121.97990001020304,121.18406285072952,120.40863177226814,119.6536067748189,118.9189878583818,118.20477502295684,117.51096826854403,116.83756759514335,116.18457300275482,115.55198449137843,114.93980206101418,114.34802571166207,113.77665544332211,113.22569125599429,112.69513314967861,112.18498112437507,111.69523518008367,111.22589531680441,110.77696153453729,110.34843383328231,109.94031221303949,109.5525966738088,109.18528721559025,108.83838383838383,108.51188654218957,108.20579532700745,107.92011019283747,107.65483113967963,107.40995816753393,107.18549127640037,106.98143046627895,106.79777573716967,106.63452708907255,106.49168452198755,106.36924803591471,106.26721763085399,106.18559330680543,106.12437506376901,106.08356290174473,106.06315682073259,106.06315682073259,106.08356290174473,106.12437506376901,106.18559330680543,106.26721763085399,106.36924803591471,106.49168452198755,106.63452708907255,106.79777573716967,106.98143046627895,107.18549127640037,107.40995816753393,107.65483113967963,107.92011019283747,108.20579532700745,108.51188654218957,108.83838383838383,109.18528721559025,109.5525966738088,109.94031221303949,110.34843383328231,110.77696153453729,111.22589531680441,111.69523518008367,112.18498112437507,112.69513314967861,113.22569125599429,113.77665544332211,114.34802571166207,114.93980206101419,115.55198449137843,116.18457300275482,116.83756759514335,117.51096826854403,118.20477502295684,118.9189878583818,119.6536067748189,120.40863177226814,121.18406285072952,121.97990001020304,122.79614325068871,123.63279257218652,124.48984797469646,125.36730945821856,126.26517702275278,127.18345066829914,128.12213039485766,129.08121620242832,130.06070809101112,131.06060606060606],[141.16161616161617,140.16171819202123,139.18222630343843,138.2231404958678,137.28446076930928,136.3661871237629,135.46831955922866,134.5908580757066,133.73380267319664,132.89715335169882,132.08091011121314,131.28507295173964,130.50964187327827,129.75461687582902,129.0199979593919,128.30578512396696,127.61197836955415,126.93857769615347,126.28558310376494,125.65299459238855,125.0408121620243,124.4490358126722,123.87766554433223,123.32670135700441,122.79614325068873,122.28599122538519,121.79624528109379,121.32690541781453,120.87797163554741,120.44944393429243,120.04132231404961,119.65360677481891,119.28629731660037,118.93939393939395,118.61289664319969,118.30680542801757,118.02112029384759,117.75584124068975,117.51096826854405,117.28650137741049,117.08244056728907,116.89878583817979,116.73553719008267,116.59269462299767,116.47025813692483,116.36822773186411,116.28660340781555,116.22538516477913,116.18457300275485,116.1641669217427,116.1641669217427,116.18457300275485,116.22538516477913,116.28660340781555,116.36822773186411,116.47025813692483,116.59269462299767,116.73553719008267,116.89878583817979,117.08244056728907,117.28650137741049,117.51096826854405,117.75584124068975,118.02112029384759,118.30680542801757,118.61289664319969,118.93939393939397,119.28629731660037,119.65360677481891,120.04132231404961,120.44944393429243,120.87797163554741,121.32690541781453,121.79624528109379,122.28599122538519,122.79614325068873,123.32670135700441,123.87766554433223,124.4490358126722,125.04081216202431,125.65299459238855,126.28558310376494,126.93857769615347,127.61197836955415,128.30578512396696,129.01999795939193,129.75461687582902,130.50964187327824,131.28507295173964,132.08091011121314,132.89715335169882,133.73380267319664,134.59085807570656,135.4683195592287,136.3661871237629,137.28446076930928,138.2231404958678,139.18222630343843,140.16171819202125,141.16161616161617],[151.2626262626263,150.26272829303136,149.28323640444856,148.3241505968779,147.38547087031938,146.46719722477303,145.5693296602388,144.6918681767167,143.83481277420674,142.99816345270895,142.18192021222328,141.38608305274977,140.61065197428837,139.85562697683912,139.12100806040203,138.4067952249771,137.71298847056426,137.0395877971636,136.38659320477507,135.75400469339866,135.1418222630344,134.5500459136823,133.97867564534235,133.42771145801453,132.89715335169885,132.3870013263953,131.8972553821039,131.42791551882465,130.97898173655753,130.55045403530255,130.1423324150597,129.75461687582904,129.3873074176105,129.04040404040407,128.71390674420982,128.4078155290277,128.1221303948577,127.85685134169987,127.61197836955417,127.3875114784206,127.18345066829919,126.99979593918991,126.83654729109278,126.69370472400779,126.57126823793494,126.46923783287423,126.38761350882567,126.32639526578924,126.28558310376496,126.26517702275282,126.26517702275282,126.28558310376496,126.32639526578924,126.38761350882567,126.46923783287423,126.57126823793494,126.69370472400779,126.83654729109278,126.99979593918991,127.18345066829919,127.3875114784206,127.61197836955417,127.85685134169987,128.1221303948577,128.4078155290277,128.71390674420982,129.04040404040407,129.3873074176105,129.75461687582904,130.1423324150597,130.55045403530255,130.97898173655753,131.42791551882465,131.8972553821039,132.3870013263953,132.89715335169885,133.42771145801453,133.97867564534235,134.5500459136823,135.1418222630344,135.75400469339868,136.38659320477507,137.0395877971636,137.71298847056426,138.4067952249771,139.12100806040203,139.85562697683912,140.61065197428837,141.38608305274977,142.18192021222328,142.99816345270895,143.83481277420674,144.6918681767167,145.5693296602388,146.46719722477303,147.38547087031938,148.3241505968779,149.28323640444856,150.26272829303136,151.2626262626263],[161.36363636363632,160.36373839404138,159.38424650545858,158.42516069788792,157.4864809713294,156.56820732578302,155.6703397612488,154.79287827772671,153.93582287521676,153.09917355371897,152.2829303132333,151.48709315375976,150.7116620752984,149.95663707784917,149.22201816141205,148.5078053259871,147.81399857157427,147.1405978981736,146.4876033057851,145.85501479440867,145.24283236404443,144.65105601469233,144.07968574635237,143.52872155902455,142.99816345270887,142.48801142740533,141.99826548311393,141.52892561983467,141.07999183756755,140.65146413631257,140.24334251606973,139.85562697683906,139.4883175186205,139.1414141414141,138.81491684521984,138.5088256300377,138.2231404958677,137.95786144270988,137.71298847056417,137.48852157943062,137.28446076930922,137.10080604019993,136.9375573921028,136.79471482501782,136.67227833894495,136.57024793388425,136.48862360983568,136.42740536679926,136.38659320477498,136.36618712376284,136.36618712376284,136.38659320477498,136.42740536679926,136.48862360983568,136.57024793388425,136.67227833894495,136.79471482501782,136.9375573921028,137.10080604019993,137.28446076930922,137.48852157943062,137.71298847056417,137.95786144270988,138.2231404958677,138.5088256300377,138.81491684521984,139.1414141414141,139.4883175186205,139.85562697683906,140.24334251606973,140.65146413631257,141.07999183756755,141.52892561983467,141.99826548311393,142.48801142740533,142.99816345270887,143.52872155902455,144.07968574635237,144.65105601469233,145.24283236404443,145.8550147944087,146.4876033057851,147.1405978981736,147.81399857157427,148.5078053259871,149.22201816141205,149.95663707784917,150.7116620752984,151.4870931537598,152.2829303132333,153.09917355371897,153.93582287521676,154.79287827772671,155.6703397612488,156.56820732578302,157.4864809713294,158.42516069788792,159.38424650545858,160.36373839404138,161.36363636363632],[171.46464646464645,170.4647484950515,169.4852566064687,168.52617079889805,167.58749107233953,166.66921742679318,165.77134986225894,164.89388837873685,164.0368329762269,163.2001836547291,162.38394041424343,161.58810325476992,160.81267217630852,160.05764717885927,159.32302826242218,158.60881542699724,157.9150086725844,157.24160799918374,156.58861340679522,155.9560248954188,155.34384246505456,154.75206611570246,154.1806958473625,153.62973166003468,153.099173553719,152.58902152841546,152.09927558412406,151.6299357208448,151.18100193857768,150.7524742373227,150.34435261707986,149.9566370778492,149.58932761963064,149.24242424242422,148.91592694622997,148.60983573104784,148.32415059687784,148.05887154372002,147.8139985715743,147.58953168044076,147.38547087031935,147.20181614121006,147.03856749311294,146.89572492602795,146.77328843995508,146.67125803489438,146.58963371084582,146.5284154678094,146.48760330578511,146.46719722477297,146.46719722477297,146.48760330578511,146.5284154678094,146.58963371084582,146.67125803489438,146.77328843995508,146.89572492602795,147.03856749311294,147.20181614121006,147.38547087031935,147.58953168044076,147.8139985715743,148.05887154372002,148.32415059687784,148.60983573104784,148.91592694622997,149.24242424242422,149.58932761963064,149.9566370778492,150.34435261707986,150.7524742373227,151.18100193857768,151.6299357208448,152.09927558412406,152.58902152841546,153.099173553719,153.62973166003468,154.1806958473625,154.75206611570246,155.34384246505456,155.95602489541884,156.58861340679522,157.24160799918374,157.9150086725844,158.60881542699724,159.32302826242218,160.05764717885927,160.81267217630852,161.58810325476992,162.38394041424343,163.2001836547291,164.0368329762269,164.89388837873685,165.77134986225894,166.66921742679318,167.58749107233953,168.52617079889805,169.4852566064687,170.4647484950515,171.46464646464645],[181.56565656565658,180.56575859606164,179.58626670747884,178.62718089990818,177.68850117334966,176.77022752780329,175.87235996326908,174.99489847974698,174.13784307723702,173.30119375573923,172.48495051525356,171.68911335578002,170.91368227731866,170.15865727986943,169.42403836343232,168.70982552800737,168.01601877359454,167.34261810019387,166.68962350780535,166.05703499642894,165.4448525660647,164.8530762167126,164.28170594837263,163.7307417610448,163.20018365472913,162.6900316294256,162.2002856851342,161.73094582185493,161.2820120395878,160.85348433833283,160.44536271809,160.05764717885933,159.69033772064077,159.34343434343435,159.0169370472401,158.71084583205797,158.42516069788797,158.15988164473015,157.91500867258443,157.6905417814509,157.48648097132948,157.3028262422202,157.13957759412307,156.99673502703808,156.8742985409652,156.7722681359045,156.69064381185595,156.62942556881953,156.58861340679525,156.5682073257831,156.5682073257831,156.58861340679525,156.62942556881953,156.69064381185595,156.7722681359045,156.8742985409652,156.99673502703808,157.13957759412307,157.3028262422202,157.48648097132948,157.6905417814509,157.91500867258443,158.15988164473015,158.42516069788797,158.71084583205797,159.0169370472401,159.34343434343435,159.69033772064077,160.05764717885933,160.44536271809,160.85348433833283,161.2820120395878,161.73094582185493,162.2002856851342,162.6900316294256,163.20018365472913,163.7307417610448,164.28170594837263,164.8530762167126,165.4448525660647,166.05703499642897,166.68962350780535,167.34261810019387,168.01601877359454,168.70982552800737,169.42403836343232,170.15865727986943,170.91368227731866,171.68911335578005,172.48495051525356,173.30119375573923,174.13784307723702,174.99489847974698,175.87235996326908,176.77022752780329,177.68850117334966,178.62718089990818,179.58626670747884,180.56575859606164,181.56565656565658],[191.66666666666669,190.66676869707175,189.68727680848895,188.7281910009183,187.78951127435977,186.8712376288134,185.97337006427918,185.09590858075708,184.23885317824713,183.40220385674934,182.58596061626366,181.79012345679013,181.01469237832876,180.25966738087953,179.52504846444242,178.81083562901748,178.11702887460464,177.44362820120398,176.79063360881545,176.15804509743904,175.5458626670748,174.9540863177227,174.38271604938274,173.83175186205492,173.30119375573923,172.7910417304357,172.3012957861443,171.83195592286503,171.38302214059792,170.95449443934294,170.5463728191001,170.15865727986943,169.79134782165087,169.44444444444446,169.1179471482502,168.81185593306807,168.52617079889808,168.26089174574025,168.01601877359454,167.791551882461,167.5874910723396,167.4038363432303,167.24058769513317,167.0977451280482,166.97530864197532,166.87327823691462,166.79165391286605,166.73043566982963,166.68962350780535,166.6692174267932,166.6692174267932,166.68962350780535,166.73043566982963,166.79165391286605,166.87327823691462,166.97530864197532,167.0977451280482,167.24058769513317,167.4038363432303,167.5874910723396,167.791551882461,168.01601877359454,168.26089174574025,168.52617079889808,168.81185593306807,169.1179471482502,169.44444444444446,169.79134782165087,170.15865727986943,170.5463728191001,170.95449443934294,171.38302214059792,171.83195592286503,172.3012957861443,172.7910417304357,173.30119375573923,173.83175186205492,174.38271604938274,174.9540863177227,175.5458626670748,176.15804509743907,176.79063360881545,177.44362820120398,178.11702887460464,178.81083562901748,179.52504846444242,180.25966738087953,181.01469237832876,181.79012345679016,182.58596061626366,183.40220385674934,184.23885317824713,185.09590858075708,185.97337006427918,186.8712376288134,187.78951127435977,188.7281910009183,189.68727680848895,190.66676869707175,191.66666666666669],[201.76767676767673,200.7677787980818,199.788286909499,198.82920110192833,197.89052137536981,196.97224772982344,196.07438016528923,195.19691868176713,194.33986327925717,193.50321395775939,192.6869707172737,191.89113355780017,191.1157024793388,190.36067748188958,189.62605856545247,188.91184573002752,188.2180389756147,187.54463830221403,186.8916437098255,186.2590551984491,185.64687276808485,185.05509641873275,184.48372615039278,183.93276196306496,183.40220385674928,182.89205183144574,182.40230588715434,181.93296602387508,181.48403224160796,181.05550454035298,180.64738292011015,180.25966738087948,179.89235792266092,179.5454545454545,179.21895724926026,178.91286603407812,178.62718089990813,178.3619018467503,178.11702887460459,177.89256198347104,177.68850117334964,177.50484644424034,177.34159779614322,177.19875522905824,177.07631874298536,176.97428833792466,176.8926640138761,176.83144577083968,176.7906336088154,176.77022752780326,176.77022752780326,176.7906336088154,176.83144577083968,176.8926640138761,176.97428833792466,177.07631874298536,177.19875522905824,177.34159779614322,177.50484644424034,177.68850117334964,177.89256198347104,178.11702887460459,178.3619018467503,178.62718089990813,178.91286603407812,179.21895724926026,179.5454545454545,179.89235792266092,180.25966738087948,180.64738292011015,181.05550454035298,181.48403224160796,181.93296602387508,182.40230588715434,182.89205183144574,183.40220385674928,183.93276196306496,184.48372615039278,185.05509641873275,185.64687276808485,186.25905519844912,186.8916437098255,187.54463830221403,188.2180389756147,188.91184573002752,189.62605856545247,190.36067748188958,191.1157024793388,191.8911335578002,192.6869707172737,193.50321395775939,194.33986327925717,195.19691868176713,196.07438016528923,196.97224772982344,197.89052137536981,198.82920110192833,199.788286909499,200.7677787980818,201.76767676767673],[211.86868686868684,210.8687888990919,209.8892970105091,208.93021120293844,207.99153147637992,207.07325783083354,206.17539026629933,205.29792878277723,204.44087338026728,203.6042240587695,202.7879808182838,201.99214365881028,201.2167125803489,200.46168758289969,199.72706866646257,199.01285583103763,198.3190490766248,197.64564840322413,196.9926538108356,196.3600652994592,195.74788286909495,195.15610651974285,194.5847362514029,194.03377206407507,193.50321395775939,192.99306193245584,192.50331598816445,192.03397612488519,191.58504234261807,191.1565146413631,190.74839302112025,190.36067748188958,189.99336802367102,189.6464646464646,189.31996735027036,189.01387613508822,188.72819100091823,188.4629119477604,188.2180389756147,187.99357208448114,187.78951127435974,187.60585654525045,187.44260789715332,187.29976533006834,187.17732884399547,187.07529843893477,186.9936741148862,186.93245587184978,186.8916437098255,186.87123762881336,186.87123762881336,186.8916437098255,186.93245587184978,186.9936741148862,187.07529843893477,187.17732884399547,187.29976533006834,187.44260789715332,187.60585654525045,187.78951127435974,187.99357208448114,188.2180389756147,188.4629119477604,188.72819100091823,189.01387613508822,189.31996735027036,189.6464646464646,189.99336802367102,190.36067748188958,190.74839302112025,191.1565146413631,191.58504234261807,192.03397612488519,192.50331598816445,192.99306193245584,193.50321395775939,194.03377206407507,194.5847362514029,195.15610651974285,195.74788286909495,196.36006529945922,196.9926538108356,197.64564840322413,198.3190490766248,199.01285583103763,199.72706866646257,200.46168758289969,201.2167125803489,201.9921436588103,202.7879808182838,203.6042240587695,204.44087338026728,205.29792878277723,206.17539026629933,207.07325783083354,207.99153147637992,208.93021120293844,209.8892970105091,210.8687888990919,211.86868686868684],[221.96969696969697,220.96979900010203,219.99030711151923,219.03122130394857,218.09254157739005,217.1742679318437,216.27640036730946,215.39893888378737,214.5418834812774,213.70523415977962,212.88899091929395,212.09315375982044,211.31772268135904,210.5626976839098,209.8280787674727,209.11386593204776,208.42005917763493,207.74665850423426,207.09366391184574,206.46107540046933,205.84889297010508,205.25711662075298,204.68574635241302,204.1347821650852,203.60422405876952,203.09407203346598,202.60432608917458,202.13498622589532,201.6860524436282,201.25752474237322,200.84940312213038,200.4616875828997,200.09437812468116,199.74747474747474,199.4209774512805,199.11488623609836,198.82920110192836,198.56392204877054,198.31904907662482,198.09458218549128,197.89052137536987,197.70686664626058,197.54361799816346,197.40077543107847,197.2783389450056,197.1763085399449,197.09468421589634,197.03346597285991,196.99265381083563,196.9722477298235,196.9722477298235,196.99265381083563,197.03346597285991,197.09468421589634,197.1763085399449,197.2783389450056,197.40077543107847,197.54361799816346,197.70686664626058,197.89052137536987,198.09458218549128,198.31904907662482,198.56392204877054,198.82920110192836,199.11488623609836,199.4209774512805,199.74747474747474,200.09437812468116,200.4616875828997,200.84940312213038,201.25752474237322,201.6860524436282,202.13498622589532,202.60432608917458,203.09407203346598,203.60422405876952,204.1347821650852,204.68574635241302,205.25711662075298,205.84889297010508,206.46107540046935,207.09366391184574,207.74665850423426,208.42005917763493,209.11386593204776,209.8280787674727,210.5626976839098,211.31772268135904,212.09315375982044,212.88899091929395,213.70523415977962,214.5418834812774,215.39893888378737,216.27640036730946,217.1742679318437,218.09254157739005,219.03122130394857,219.99030711151923,220.96979900010203,221.96969696969697],[232.0707070707071,231.07080910111216,230.09131721252936,229.1322314049587,228.19355167840018,227.2752780328538,226.3774104683196,225.4999489847975,224.64289358228754,223.80624426078975,222.99000102030408,222.19416386083054,221.41873278236918,220.66370778491995,219.92908886848284,219.2148760330579,218.52106927864506,217.8476686052444,217.19467401285587,216.56208550147946,215.94990307111522,215.3581267217631,214.78675645342315,214.23579226609533,213.70523415977965,213.1950821344761,212.7053361901847,212.23599632690545,211.78706254463833,211.35853484338335,210.95041322314052,210.56269768390985,210.1953882256913,209.84848484848487,209.52198755229062,209.2158963371085,208.9302112029385,208.66493214978067,208.42005917763495,208.1955922865014,207.99153147638,207.8078767472707,207.6446280991736,207.5017855320886,207.37934904601573,207.27731864095503,207.19569431690647,207.13447607387005,207.09366391184577,207.07325783083363,207.07325783083363,207.09366391184577,207.13447607387005,207.19569431690647,207.27731864095503,207.37934904601573,207.5017855320886,207.6446280991736,207.8078767472707,207.99153147638,208.1955922865014,208.42005917763495,208.66493214978067,208.9302112029385,209.2158963371085,209.52198755229062,209.84848484848487,210.1953882256913,210.56269768390985,210.95041322314052,211.35853484338335,211.78706254463833,212.23599632690545,212.7053361901847,213.1950821344761,213.70523415977965,214.23579226609533,214.78675645342315,215.3581267217631,215.94990307111522,216.5620855014795,217.19467401285587,217.8476686052444,218.52106927864506,219.2148760330579,219.92908886848284,220.66370778491995,221.41873278236918,222.19416386083057,222.99000102030408,223.80624426078975,224.64289358228754,225.4999489847975,226.3774104683196,227.2752780328538,228.19355167840018,229.1322314049587,230.09131721252936,231.07080910111216,232.0707070707071],[242.1717171717172,241.17181920212226,240.19232731353947,239.2332415059688,238.2945617794103,237.3762881338639,236.4784205693297,235.6009590858076,234.74390368329765,233.90725436179986,233.09101112131418,232.29517396184065,231.51974288337928,230.76471788593005,230.03009896949294,229.315886134068,228.62207937965516,227.9486787062545,227.29568411386597,226.66309560248956,226.05091317212532,225.45913682277322,224.88776655443326,224.33680236710543,223.80624426078975,223.2960922354862,222.8063462911948,222.33700642791555,221.88807264564844,221.45954494439346,221.05142332415062,220.66370778491995,220.2963983267014,219.94949494949498,219.62299765330073,219.3169064381186,219.0312213039486,218.76594225079077,218.52106927864506,218.2966023875115,218.0925415773901,217.90888684828082,217.7456382001837,217.6027956330987,217.48035914702584,217.37832874196513,217.29670441791657,217.23548617488015,217.19467401285587,217.17426793184373,217.17426793184373,217.19467401285587,217.23548617488015,217.29670441791657,217.37832874196513,217.48035914702584,217.6027956330987,217.7456382001837,217.90888684828082,218.0925415773901,218.2966023875115,218.52106927864506,218.76594225079077,219.0312213039486,219.3169064381186,219.62299765330073,219.94949494949498,220.2963983267014,220.66370778491995,221.05142332415062,221.45954494439346,221.88807264564844,222.33700642791555,222.8063462911948,223.2960922354862,223.80624426078975,224.33680236710543,224.88776655443326,225.45913682277322,226.05091317212532,226.6630956024896,227.29568411386597,227.9486787062545,228.62207937965516,229.315886134068,230.03009896949294,230.76471788593005,231.51974288337928,232.29517396184067,233.09101112131418,233.90725436179986,234.74390368329765,235.6009590858076,236.4784205693297,237.3762881338639,238.2945617794103,239.2332415059688,240.19232731353947,241.17181920212226,242.1717171717172],[252.27272727272725,251.2728293031323,250.2933374145495,249.33425160697885,248.39557188042033,247.47729823487396,246.57943067033975,245.70196918681765,244.8449137843077,244.0082644628099,243.19202122232423,242.3961840628507,241.62075298438933,240.8657279869401,240.131109070503,239.41689623507804,238.7230894806652,238.04968880726454,237.39669421487602,236.7641057034996,236.15192327313537,235.56014692378326,234.9887766554433,234.43781246811548,233.9072543617998,233.39710233649626,232.90735639220486,232.4380165289256,231.98908274665848,231.5605550454035,231.15243342516067,230.76471788593,230.39740842771144,230.05050505050502,229.72400775431078,229.41791653912864,229.13223140495865,228.86695235180082,228.6220793796551,228.39761248852156,228.19355167840015,228.00989694929086,227.84664830119374,227.70380573410876,227.58136924803588,227.47933884297518,227.39771451892662,227.3364962758902,227.29568411386592,227.27527803285378,227.27527803285378,227.29568411386592,227.3364962758902,227.39771451892662,227.47933884297518,227.58136924803588,227.70380573410876,227.84664830119374,228.00989694929086,228.19355167840015,228.39761248852156,228.6220793796551,228.86695235180082,229.13223140495865,229.41791653912864,229.72400775431078,230.05050505050502,230.39740842771144,230.76471788593,231.15243342516067,231.5605550454035,231.98908274665848,232.4380165289256,232.90735639220486,233.39710233649626,233.9072543617998,234.43781246811548,234.9887766554433,235.56014692378326,236.15192327313537,236.76410570349964,237.39669421487602,238.04968880726454,238.7230894806652,239.41689623507804,240.131109070503,240.8657279869401,241.62075298438933,242.39618406285072,243.19202122232423,244.0082644628099,244.8449137843077,245.70196918681765,246.57943067033975,247.47729823487396,248.39557188042033,249.33425160697885,250.2933374145495,251.2728293031323,252.27272727272725],[262.37373737373736,261.3738394041424,260.3943475155596,259.43526170798896,258.49658198143044,257.57830833588406,256.6804407713498,255.80297928782775,254.9459238853178,254.10927456382,253.29303132333433,252.4971941638608,251.72176308539943,250.9667380879502,250.2321191715131,249.51790633608815,248.8240995816753,248.15069890827465,247.49770431588612,246.8651158045097,246.25293337414547,245.66115702479337,245.0897867564534,244.53882256912559,244.0082644628099,243.49811243750636,243.00836649321496,242.5390266299357,242.0900928476686,241.6615651464136,241.25344352617077,240.8657279869401,240.49841852872154,240.15151515151513,239.82501785532088,239.51892664013874,239.23324150596875,238.96796245281092,238.7230894806652,238.49862258953166,238.29456177941026,238.11090705030097,237.94765840220384,237.80481583511886,237.682379349046,237.58034894398529,237.49872461993672,237.4375063769003,237.39669421487602,237.37628813386388,237.37628813386388,237.39669421487602,237.4375063769003,237.49872461993672,237.58034894398529,237.682379349046,237.80481583511886,237.94765840220384,238.11090705030097,238.29456177941026,238.49862258953166,238.7230894806652,238.96796245281092,239.23324150596875,239.51892664013874,239.82501785532088,240.15151515151513,240.49841852872154,240.8657279869401,241.25344352617077,241.6615651464136,242.0900928476686,242.5390266299357,243.00836649321496,243.49811243750636,244.0082644628099,244.53882256912559,245.0897867564534,245.66115702479337,246.25293337414547,246.86511580450974,247.49770431588612,248.15069890827465,248.8240995816753,249.51790633608815,250.2321191715131,250.9667380879502,251.72176308539943,252.49719416386083,253.29303132333433,254.10927456382,254.9459238853178,255.80297928782775,256.6804407713498,257.57830833588406,258.49658198143044,259.43526170798896,260.3943475155596,261.3738394041424,262.37373737373736],[272.47474747474746,271.4748495051525,270.4953576165698,269.5362718089991,268.5975920824406,267.6793184368942,266.78145087236,265.9039893888379,265.04693398632793,264.2102846648301,263.39404142434444,262.59820426487096,261.82277318640956,261.0677481889603,260.33312927252325,259.6189164370983,258.92510968268545,258.2517090092848,257.59871441689626,256.96612590551985,256.35394347515563,255.7621671258035,255.19079685746354,254.63983267013572,254.10927456382004,253.5991225385165,253.1093765942251,252.64003673094584,252.19110294867872,251.76257524742374,251.3544536271809,250.96673808795023,250.59942862973168,250.25252525252526,249.926027956331,249.61993674114888,249.33425160697888,249.06897255382106,248.82409958167534,248.5996326905418,248.3955718804204,248.2119171513111,248.04866850321397,247.905825936129,247.78338945005612,247.68135904499542,247.59973472094686,247.53851647791043,247.49770431588615,247.477298234874,247.477298234874,247.49770431588615,247.53851647791043,247.59973472094686,247.68135904499542,247.78338945005612,247.905825936129,248.04866850321397,248.2119171513111,248.3955718804204,248.5996326905418,248.82409958167534,249.06897255382106,249.33425160697888,249.61993674114888,249.926027956331,250.25252525252526,250.59942862973168,250.96673808795023,251.3544536271809,251.76257524742374,252.19110294867872,252.64003673094584,253.1093765942251,253.5991225385165,254.10927456382004,254.63983267013572,255.19079685746354,255.7621671258035,256.35394347515563,256.96612590551985,257.59871441689626,258.25170900928475,258.92510968268545,259.6189164370983,260.33312927252325,261.0677481889603,261.82277318640956,262.59820426487096,263.39404142434444,264.21028466483017,265.04693398632793,265.9039893888379,266.78145087236,267.6793184368942,268.5975920824406,269.5362718089991,270.4953576165698,271.4748495051526,272.47474747474746],[282.5757575757576,281.5758596061627,280.5963677175799,279.6372819100092,278.6986021834507,277.7803285379043,276.8824609733701,276.00499948984805,275.1479440873381,274.3112947658403,273.4950515253546,272.69921436588106,271.9237832874197,271.16875828997047,270.43413937353336,269.7199265381084,269.0261197836956,268.3527191102949,267.69972451790636,267.06713600653,266.45495357616574,265.86317722681366,265.29180695847367,264.7408427711458,264.21028466483017,263.7001326395266,263.21038669523523,262.74104683195594,262.29211304968885,261.8635853484339,261.45546372819103,261.06774818896037,260.7004387307418,260.3535353535354,260.02703805734114,259.720946842159,259.435261707989,259.1699826548312,258.9251096826855,258.7006427915519,258.4965819814305,258.31292725232123,258.1496786042241,258.0068360371391,257.8843995510663,257.7823691460056,257.700744821957,257.63952657892054,257.59871441689626,257.5783083358841,257.5783083358841,257.59871441689626,257.63952657892054,257.700744821957,257.7823691460056,257.8843995510663,258.0068360371391,258.1496786042241,258.31292725232123,258.4965819814305,258.7006427915519,258.9251096826855,259.1699826548312,259.435261707989,259.720946842159,260.02703805734114,260.3535353535354,260.7004387307418,261.06774818896037,261.45546372819103,261.8635853484339,262.29211304968885,262.74104683195594,263.21038669523523,263.7001326395266,264.21028466483017,264.7408427711458,265.29180695847367,265.86317722681366,266.45495357616574,267.06713600653,267.69972451790636,268.3527191102949,269.0261197836956,269.7199265381084,270.43413937353336,271.16875828997047,271.92378328741967,272.69921436588106,273.4950515253546,274.3112947658403,275.1479440873381,276.004999489848,276.88246097337014,277.7803285379043,278.6986021834507,279.6372819100092,280.5963677175799,281.5758596061627,282.5757575757576],[292.67676767676767,291.6768697071727,290.6973778185899,289.73829201101927,288.79961228446075,287.8813386389144,286.98347107438013,286.1060095908581,285.24895418834814,284.4123048668503,283.59606162636464,282.8002244668911,282.02479338842977,281.2697683909805,280.5351494745434,279.82093663911843,279.12712988470565,278.45372921130496,277.8007346189164,277.16814610754005,276.5559636771758,275.9641873278237,275.3928170594837,274.84185287215587,274.3112947658402,273.80114274053665,273.3113967962453,272.842056932966,272.3931231506989,271.96459544944395,271.5564738292011,271.1687582899704,270.8014488317518,270.45454545454544,270.1280481583512,269.821956943169,269.53627180899906,269.27099275584123,269.02611978369555,268.80165289256195,268.59759208244054,268.4139373533313,268.25068870523415,268.10784613814917,267.9854096520763,267.8833792470156,267.80175492296706,267.7405366799306,267.6997245179063,267.67931843689416,267.67931843689416,267.6997245179063,267.7405366799306,267.80175492296706,267.8833792470156,267.9854096520763,268.10784613814917,268.25068870523415,268.4139373533313,268.59759208244054,268.80165289256195,269.02611978369555,269.27099275584123,269.53627180899906,269.821956943169,270.1280481583512,270.45454545454544,270.8014488317518,271.1687582899704,271.5564738292011,271.96459544944395,272.3931231506989,272.842056932966,273.3113967962453,273.80114274053665,274.3112947658402,274.84185287215587,275.3928170594837,275.9641873278237,276.5559636771758,277.16814610754005,277.8007346189164,278.45372921130496,279.12712988470565,279.82093663911843,280.5351494745434,281.2697683909805,282.0247933884297,282.8002244668911,283.59606162636464,284.4123048668503,285.24895418834814,286.10600959085804,286.9834710743802,287.8813386389144,288.79961228446075,289.73829201101927,290.6973778185899,291.6768697071727,292.67676767676767],[302.77777777777777,301.77787980818283,300.79838791960003,299.8393021120294,298.90062238547085,297.9823487399245,297.08448117539024,296.2070196918682,295.34996428935824,294.5133149678604,293.69707172737475,292.9012345679012,292.1258034894399,291.3707784919906,290.6361595755535,289.92194674012853,289.22813998571576,288.55473931231506,287.9017447199265,287.26915620855016,286.6569737781859,286.0651974288338,285.4938271604938,284.942862973166,284.4123048668503,283.90215284154675,283.4124068972554,282.9430670339761,282.494133251709,282.06560555045405,281.6574839302112,281.2697683909805,280.90245893276193,280.55555555555554,280.2290582593613,279.92296704417913,279.63728191000916,279.37200285685134,279.12712988470565,278.90266299357205,278.69860218345065,278.5149474543414,278.35169880624426,278.2088562391593,278.08641975308643,277.98438934802573,277.90276502397717,277.8415467809407,277.8007346189164,277.78032853790427,277.78032853790427,277.8007346189164,277.8415467809407,277.90276502397717,277.98438934802573,278.08641975308643,278.2088562391593,278.35169880624426,278.5149474543414,278.69860218345065,278.90266299357205,279.12712988470565,279.37200285685134,279.63728191000916,279.92296704417913,280.2290582593613,280.55555555555554,280.90245893276193,281.2697683909805,281.6574839302112,282.06560555045405,282.494133251709,282.9430670339761,283.4124068972554,283.90215284154675,284.4123048668503,284.942862973166,285.4938271604938,286.0651974288338,286.6569737781859,287.26915620855016,287.9017447199265,288.55473931231506,289.22813998571576,289.92194674012853,290.6361595755535,291.3707784919906,292.1258034894398,292.9012345679012,293.69707172737475,294.5133149678604,295.34996428935824,296.20701969186814,297.08448117539024,297.9823487399245,298.90062238547085,299.8393021120294,300.79838791960003,301.77787980818283,302.77777777777777],[312.8787878787879,311.87888990919294,310.89939802061014,309.9403122130395,309.00163248648096,308.0833588409346,307.18549127640034,306.3080297928783,305.45097439036834,304.6143250688705,303.79808182838485,303.0022446689113,302.22681359045,301.4717885930007,300.7371696765636,300.02295684113864,299.32915008672586,298.65574941332517,298.0027548209366,297.37016630956026,296.757983879196,296.1662075298439,295.5948372615039,295.0438730741761,294.5133149678604,294.00316294255686,293.5134169982655,293.0440771349862,292.5951433527191,292.16661565146416,291.7584940312213,291.3707784919906,291.00346903377203,290.65656565656565,290.3300683603714,290.02397714518924,289.73829201101927,289.47301295786144,289.22813998571576,289.00367309458215,288.79961228446075,288.6159575553515,288.45270890725436,288.3098663401694,288.18742985409654,288.08539944903583,288.00377512498727,287.9425568819508,287.9017447199265,287.8813386389144,287.8813386389144,287.9017447199265,287.9425568819508,288.00377512498727,288.08539944903583,288.18742985409654,288.3098663401694,288.45270890725436,288.6159575553515,288.79961228446075,289.00367309458215,289.22813998571576,289.47301295786144,289.73829201101927,290.02397714518924,290.3300683603714,290.65656565656565,291.00346903377203,291.3707784919906,291.7584940312213,292.16661565146416,292.5951433527191,293.0440771349862,293.5134169982655,294.00316294255686,294.5133149678604,295.0438730741761,295.5948372615039,296.1662075298439,296.757983879196,297.37016630956026,298.0027548209366,298.65574941332517,299.32915008672586,300.02295684113864,300.7371696765636,301.4717885930007,302.2268135904499,303.0022446689113,303.79808182838485,304.6143250688705,305.45097439036834,306.30802979287824,307.1854912764004,308.0833588409346,309.00163248648096,309.9403122130395,310.89939802061014,311.87888990919294,312.8787878787879],[322.97979797979804,321.9799000102031,321.0004081216203,320.04132231404964,319.1026425874911,318.18436894194474,317.2865013774105,316.40903989388846,315.5519844913785,314.7153351698807,313.899091929395,313.1032547699215,312.32782369146014,311.5727986940109,310.83817977757377,310.1239669421488,309.430160187736,308.75675951433533,308.1037649219468,307.4711764105704,306.85899398020615,306.2672176308541,305.6958473625141,305.14488317518624,304.6143250688706,304.104173043567,303.61442709927564,303.14508723599636,302.69615345372927,302.2676257524743,301.85950413223145,301.4717885930008,301.1044791347822,300.7575757575758,300.43107846138156,300.1249872461994,299.83930211202943,299.5740230588716,299.3291500867259,299.1046831955923,298.9006223854709,298.71696765636165,298.5537190082645,298.41087644117954,298.2884399551067,298.186409550046,298.10478522599743,298.04356698296095,298.0027548209367,297.98234873992453,297.98234873992453,298.0027548209367,298.04356698296095,298.10478522599743,298.186409550046,298.2884399551067,298.41087644117954,298.5537190082645,298.71696765636165,298.9006223854709,299.1046831955923,299.3291500867259,299.5740230588716,299.83930211202943,300.1249872461994,300.43107846138156,300.7575757575758,301.1044791347822,301.4717885930008,301.85950413223145,302.2676257524743,302.69615345372927,303.14508723599636,303.61442709927564,304.104173043567,304.6143250688706,305.14488317518624,305.6958473625141,306.2672176308541,306.85899398020615,307.4711764105704,308.1037649219468,308.75675951433533,309.430160187736,310.1239669421488,310.83817977757377,311.5727986940109,312.3278236914601,313.1032547699215,313.899091929395,314.7153351698807,315.5519844913785,316.4090398938884,317.28650137741056,318.18436894194474,319.1026425874911,320.04132231404964,321.0004081216203,321.9799000102031,322.97979797979804],[333.08080808080814,332.0809101112132,331.1014182226304,330.14233241505974,329.2036526885012,328.28537904295484,327.3875114784206,326.51004999489857,325.6529945923886,324.8163452708908,324.0001020304051,323.2042648709316,322.42883379247024,321.673808795021,320.9391898785839,320.2249770431589,319.5311702887461,318.85776961534543,318.2047750229569,317.5721865115805,316.96000408121625,316.3682277318642,315.7968574635242,315.24589327619634,314.7153351698807,314.2051831445771,313.71543720028575,313.24609733700646,312.79716355473937,312.3686358534844,311.96051423324155,311.5727986940109,311.2054892357923,310.8585858585859,310.53208856239166,310.2259973472095,309.94031221303953,309.6750331598817,309.430160187736,309.2056932966024,309.001632486481,308.81797775737175,308.6547291092746,308.51188654218964,308.3894500561168,308.2874196510561,308.20579532700754,308.14457708397106,308.1037649219468,308.08335884093464,308.08335884093464,308.1037649219468,308.14457708397106,308.20579532700754,308.2874196510561,308.3894500561168,308.51188654218964,308.6547291092746,308.81797775737175,309.001632486481,309.2056932966024,309.430160187736,309.6750331598817,309.94031221303953,310.2259973472095,310.53208856239166,310.8585858585859,311.2054892357923,311.5727986940109,311.96051423324155,312.3686358534844,312.79716355473937,313.24609733700646,313.71543720028575,314.2051831445771,314.7153351698807,315.24589327619634,315.7968574635242,316.3682277318642,316.96000408121625,317.5721865115805,318.2047750229569,318.85776961534543,319.5311702887461,320.2249770431589,320.9391898785839,321.673808795021,322.4288337924702,323.2042648709316,324.0001020304051,324.8163452708908,325.6529945923886,326.5100499948985,327.3875114784206,328.28537904295484,329.2036526885012,330.14233241505974,331.1014182226304,332.0809101112132,333.08080808080814],[343.1818181818182,342.18192021222325,341.20242832364045,340.2433425160698,339.30466278951127,338.3863891439649,337.48852157943065,336.6110600959086,335.75400469339866,334.91735537190084,334.10111213141516,333.3052749719416,332.5298438934803,331.77481889603104,331.0401999795939,330.32598714416895,329.6321803897562,328.9587797163555,328.3057851239669,327.6731966125906,327.0610141822263,326.4692378328742,325.89786756453424,325.3469033772064,324.81634527089074,324.30619324558717,323.8164473012958,323.3471074380165,322.8981736557494,322.46964595449447,322.0615243342516,321.67380879502093,321.30649933680235,320.95959595959596,320.6330986634017,320.32700744821955,320.0413223140496,319.77604326089175,319.53117028874607,319.30670339761247,319.10264258749106,318.9189878583818,318.7557392102847,318.6128966431997,318.49046015712685,318.38842975206614,318.3068054280176,318.2455871849811,318.2047750229568,318.1843689419447,318.1843689419447,318.2047750229568,318.2455871849811,318.3068054280176,318.38842975206614,318.49046015712685,318.6128966431997,318.7557392102847,318.9189878583818,319.10264258749106,319.30670339761247,319.53117028874607,319.77604326089175,320.0413223140496,320.32700744821955,320.6330986634017,320.95959595959596,321.30649933680235,321.67380879502093,322.0615243342516,322.46964595449447,322.8981736557494,323.3471074380165,323.8164473012958,324.30619324558717,324.81634527089074,325.3469033772064,325.89786756453424,326.4692378328742,327.0610141822263,327.6731966125906,328.3057851239669,328.9587797163555,329.6321803897562,330.32598714416895,331.0401999795939,331.77481889603104,332.52984389348023,333.3052749719416,334.10111213141516,334.91735537190084,335.75400469339866,336.61106009590856,337.48852157943065,338.3863891439649,339.30466278951127,340.2433425160698,341.20242832364045,342.18192021222325,343.1818181818182],[353.2828282828282,352.28293031323324,351.30343842465044,350.3443526170798,349.40567289052126,348.4873992449749,347.58953168044064,346.7120701969186,345.85501479440865,345.01836547291083,344.20212223242515,343.4062850729516,342.6308539944903,341.875828997041,341.1412100806039,340.42699724517894,339.73319049076616,339.05978981736547,338.4067952249769,337.77420671360056,337.1620242832363,336.5702479338842,335.9988776655442,335.4479134782164,334.9173553719007,334.40720334659716,333.9174574023058,333.4481175390265,332.9991837567594,332.57065605550446,332.1625344352616,331.7748188960309,331.40750943781234,331.06060606060595,330.7341087644117,330.42801754922954,330.14233241505957,329.87705336190174,329.63218038975606,329.40771349862246,329.20365268850105,329.0199979593918,328.85674931129466,328.7139067442097,328.59147025813684,328.48943985307614,328.4078155290276,328.3465972859911,328.3057851239668,328.2853790429547,328.2853790429547,328.3057851239668,328.3465972859911,328.4078155290276,328.48943985307614,328.59147025813684,328.7139067442097,328.85674931129466,329.0199979593918,329.20365268850105,329.40771349862246,329.63218038975606,329.87705336190174,330.14233241505957,330.42801754922954,330.7341087644117,331.06060606060595,331.40750943781234,331.7748188960309,332.1625344352616,332.57065605550446,332.9991837567594,333.4481175390265,333.9174574023058,334.40720334659716,334.9173553719007,335.4479134782164,335.9988776655442,336.5702479338842,337.1620242832363,337.77420671360056,338.4067952249769,339.05978981736547,339.73319049076616,340.42699724517894,341.1412100806039,341.875828997041,342.6308539944902,343.4062850729516,344.20212223242515,345.01836547291083,345.85501479440865,346.71207019691855,347.5895316804407,348.4873992449749,349.40567289052126,350.3443526170798,351.30343842465044,352.28293031323324,353.2828282828282],[363.3838383838384,362.38394041424345,361.40444852566065,360.44536271809,359.5066829915315,358.5884093459851,357.69054178145086,356.8130802979288,355.95602489541886,355.11937557392105,354.30313233343537,353.50729517396184,352.7318640955005,351.97683909805124,351.24222018161413,350.52800734618916,349.8342005917764,349.1607999183757,348.50780532598714,347.8752168146108,347.2630343842465,346.67125803489444,346.09988776655445,345.5489235792266,345.01836547291094,344.5082134476074,344.018467503316,343.5491276400367,343.1001938577696,342.6716661565147,342.2635445362718,341.87582899704114,341.50851953882255,341.16161616161617,340.8351188654219,340.52902765023975,340.2433425160698,339.97806346291196,339.7331904907663,339.5087235996327,339.30466278951127,339.121008060402,338.9577594123049,338.8149168452199,338.69248035914705,338.59044995408635,338.5088256300378,338.4476073870013,338.40679522497703,338.3863891439649,338.3863891439649,338.40679522497703,338.4476073870013,338.5088256300378,338.59044995408635,338.69248035914705,338.8149168452199,338.9577594123049,339.121008060402,339.30466278951127,339.5087235996327,339.7331904907663,339.97806346291196,340.2433425160698,340.52902765023975,340.8351188654219,341.16161616161617,341.50851953882255,341.87582899704114,342.2635445362718,342.6716661565147,343.1001938577696,343.5491276400367,344.018467503316,344.5082134476074,345.01836547291094,345.5489235792266,346.09988776655445,346.67125803489444,347.2630343842465,347.8752168146108,348.50780532598714,349.1607999183757,349.8342005917764,350.52800734618916,351.24222018161413,351.97683909805124,352.73186409550044,353.50729517396184,354.30313233343537,355.11937557392105,355.95602489541886,356.81308029792876,357.69054178145086,358.5884093459851,359.5066829915315,360.44536271809,361.40444852566065,362.38394041424345,363.3838383838384],[373.48484848484844,372.4849505152535,371.5054586266707,370.54637281910004,369.6076930925415,368.68941944699515,367.7915518824609,366.91409039893887,366.0570349964289,365.2203856749311,364.4041424344454,363.6083052749719,362.83287419651055,362.0778491990613,361.3432302826242,360.6290174471992,359.9352106927864,359.26181001938573,358.6088154269972,357.9762269156208,357.36404448525656,356.7722681359045,356.2008978675645,355.64993368023664,355.119375573921,354.6092235486174,354.11947760432605,353.65013774104676,353.2012039587797,352.7726762575247,352.36455463728186,351.9768390980512,351.6095296398326,351.2626262626262,350.93612896643197,350.6300377512498,350.34435261707983,350.079073563922,349.8342005917763,349.6097337006427,349.4056728905213,349.22201816141205,349.0587695133149,348.91592694622994,348.7934904601571,348.6914600550964,348.60983573104784,348.54861748801136,348.5078053259871,348.48739924497494,348.48739924497494,348.5078053259871,348.54861748801136,348.60983573104784,348.6914600550964,348.7934904601571,348.91592694622994,349.0587695133149,349.22201816141205,349.4056728905213,349.6097337006427,349.8342005917763,350.079073563922,350.34435261707983,350.6300377512498,350.93612896643197,351.2626262626262,351.6095296398326,351.9768390980512,352.36455463728186,352.7726762575247,353.2012039587797,353.65013774104676,354.11947760432605,354.6092235486174,355.119375573921,355.64993368023664,356.2008978675645,356.7722681359045,357.36404448525656,357.9762269156208,358.6088154269972,359.26181001938573,359.9352106927864,360.6290174471992,361.3432302826242,362.0778491990613,362.8328741965105,363.6083052749719,364.4041424344454,365.2203856749311,366.0570349964289,366.9140903989388,367.7915518824609,368.68941944699515,369.6076930925415,370.54637281910004,371.5054586266707,372.4849505152535,373.48484848484844],[383.58585858585866,382.5859606162637,381.6064687276809,380.64738292011026,379.70870319355174,378.79042954800536,377.8925619834711,377.0151004999491,376.1580450974391,375.3213957759413,374.50515253545564,373.7093153759821,372.93388429752076,372.1788593000715,371.4442403836344,370.7300275482094,370.03622079379664,369.36282012039595,368.7098255280074,368.07723701663105,367.4650545862668,366.8732782369147,366.3019079685747,365.75094378124686,365.2203856749312,364.71023364962764,364.22048770533627,363.751147842057,363.3022140597899,362.87368635853494,362.4655647382921,362.0778491990614,361.7105397408428,361.36363636363643,361.0371390674422,360.73104785226,360.44536271809005,360.1800836649322,359.93521069278654,359.71074380165294,359.50668299153153,359.32302826242227,359.15977961432515,359.01693704724016,358.8945005611673,358.7924701561066,358.71084583205806,358.6496275890216,358.6088154269973,358.58840934598516,358.58840934598516,358.6088154269973,358.6496275890216,358.71084583205806,358.7924701561066,358.8945005611673,359.01693704724016,359.15977961432515,359.32302826242227,359.50668299153153,359.71074380165294,359.93521069278654,360.1800836649322,360.44536271809005,360.73104785226,361.0371390674422,361.36363636363643,361.7105397408428,362.0778491990614,362.4655647382921,362.87368635853494,363.3022140597899,363.751147842057,364.22048770533627,364.71023364962764,365.2203856749312,365.75094378124686,366.3019079685747,366.8732782369147,367.4650545862668,368.07723701663105,368.7098255280074,369.36282012039595,370.03622079379664,370.7300275482094,371.4442403836344,372.1788593000715,372.9338842975207,373.7093153759821,374.50515253545564,375.3213957759413,376.1580450974391,377.015100499949,377.8925619834712,378.79042954800536,379.70870319355174,380.64738292011026,381.6064687276809,382.5859606162637,383.58585858585866],[393.6868686868687,392.68697071727377,391.70747882869097,390.7483930211203,389.8097132945618,388.8914396490154,387.9935720844812,387.11611060095913,386.2590551984492,385.42240587695136,384.6061626364657,383.81032547699215,383.0348943985308,382.27986940108156,381.54525048464444,380.83103764921947,380.1372308948067,379.463830221406,378.81083562901745,378.1782471176411,377.5660646872768,376.97428833792475,376.40291806958476,375.8519538822569,375.32139577594126,374.8112437506377,374.3214978063463,373.852157943067,373.40322416079994,372.974696459545,372.5665748393021,372.17885930007145,371.81154984185287,371.4646464646465,371.13814916845223,370.83205795327007,370.5463728191001,370.2810937659423,370.0362207937966,369.811753902663,369.6076930925416,369.4240383634323,369.2607897153352,369.1179471482502,368.99551066217737,368.89348025711666,368.8118559330681,368.7506376900316,368.70982552800734,368.6894194469952,368.6894194469952,368.70982552800734,368.7506376900316,368.8118559330681,368.89348025711666,368.99551066217737,369.1179471482502,369.2607897153352,369.4240383634323,369.6076930925416,369.811753902663,370.0362207937966,370.2810937659423,370.5463728191001,370.83205795327007,371.13814916845223,371.4646464646465,371.81154984185287,372.17885930007145,372.5665748393021,372.974696459545,373.40322416079994,373.852157943067,374.3214978063463,374.8112437506377,375.32139577594126,375.8519538822569,376.40291806958476,376.97428833792475,377.5660646872768,378.1782471176411,378.81083562901745,379.463830221406,380.1372308948067,380.83103764921947,381.54525048464444,382.27986940108156,383.03489439853075,383.81032547699215,384.6061626364657,385.42240587695136,386.2590551984492,387.1161106009591,387.99357208448123,388.8914396490154,389.8097132945618,390.7483930211203,391.70747882869097,392.68697071727377,393.6868686868687],[403.7878787878787,402.78798081828376,401.80848892970096,400.8494031221303,399.9107233955718,398.9924497500254,398.09458218549116,397.2171207019691,396.36006529945917,395.52341597796135,394.7071727374757,393.91133557800214,393.1359044995408,392.38087950209155,391.64626058565443,390.93204775022946,390.2382409958167,389.564840322416,388.91184573002744,388.2792572186511,387.6670747882868,387.07529843893474,386.50392817059475,385.9529639832669,385.42240587695125,384.9122538516477,384.4225079073563,383.953168044077,383.5042342618099,383.075706560555,382.6675849403121,382.27986940108144,381.91255994286286,381.56565656565647,381.2391592694622,380.93306805428006,380.6473829201101,380.38210386695226,380.1372308948066,379.912764003673,379.70870319355157,379.5250484644423,379.3617998163452,379.2189572492602,379.09652076318736,378.99449035812665,378.9128660340781,378.8516477910416,378.81083562901733,378.7904295480052,378.7904295480052,378.81083562901733,378.8516477910416,378.9128660340781,378.99449035812665,379.09652076318736,379.2189572492602,379.3617998163452,379.5250484644423,379.70870319355157,379.912764003673,380.1372308948066,380.38210386695226,380.6473829201101,380.93306805428006,381.2391592694622,381.56565656565647,381.91255994286286,382.27986940108144,382.6675849403121,383.075706560555,383.5042342618099,383.953168044077,384.4225079073563,384.9122538516477,385.42240587695125,385.9529639832669,386.50392817059475,387.07529843893474,387.6670747882868,388.2792572186511,388.91184573002744,389.564840322416,390.2382409958167,390.93204775022946,391.64626058565443,392.38087950209155,393.13590449954074,393.91133557800214,394.7071727374757,395.52341597796135,396.36006529945917,397.21712070196907,398.09458218549116,398.9924497500254,399.9107233955718,400.8494031221303,401.80848892970096,402.78798081828376,403.7878787878787],[413.8888888888889,412.888990919294,411.9094990307112,410.9504132231405,410.011733496582,409.0934598510356,408.1955922865014,407.31813080297934,406.4610754004694,405.62442607897157,404.8081828384859,404.01234567901236,403.236914600551,402.48188960310176,401.74727068666465,401.0330578512397,400.3392510968269,399.6658504234262,399.01285583103765,398.3802673196613,397.76808488929703,397.17630853994496,396.60493827160496,396.0539740842771,395.52341597796146,395.0132639526579,394.5235180083665,394.05417814508723,393.60524436282014,393.1767166615652,392.7685950413223,392.38087950209166,392.0135700438731,391.6666666666667,391.34016937047244,391.0340781552903,390.7483930211203,390.4831139679625,390.2382409958168,390.0137741046832,389.8097132945618,389.6260585654525,389.4628099173554,389.3199673502704,389.1975308641976,389.0955004591369,389.0138761350883,388.95265789205183,388.91184573002755,388.8914396490154,388.8914396490154,388.91184573002755,388.95265789205183,389.0138761350883,389.0955004591369,389.1975308641976,389.3199673502704,389.4628099173554,389.6260585654525,389.8097132945618,390.0137741046832,390.2382409958168,390.4831139679625,390.7483930211203,391.0340781552903,391.34016937047244,391.6666666666667,392.0135700438731,392.38087950209166,392.7685950413223,393.1767166615652,393.60524436282014,394.05417814508723,394.5235180083665,395.0132639526579,395.52341597796146,396.0539740842771,396.60493827160496,397.17630853994496,397.76808488929703,398.3802673196613,399.01285583103765,399.6658504234262,400.3392510968269,401.0330578512397,401.74727068666465,402.48188960310176,403.23691460055096,404.01234567901236,404.8081828384859,405.62442607897157,406.4610754004694,407.3181308029793,408.19559228650144,409.0934598510356,410.011733496582,410.9504132231405,411.9094990307112,412.888990919294,413.8888888888889],[423.98989898989896,422.990001020304,422.0105091317212,421.05142332415056,420.11274359759204,419.19446995204567,418.2966023875114,417.4191409039894,416.56208550147943,415.7254361799816,414.90919293949594,414.1133557800224,413.33792470156106,412.5828997041118,411.8482807876747,411.1340679522497,410.44026119783695,409.76686052443625,409.1138659320477,408.48127742067135,407.8690949903071,407.277318640955,406.705948372615,406.15498418528716,405.6244260789715,405.11427405366794,404.62452810937657,404.1551882460973,403.7062544638302,403.27772676257524,402.8696051423324,402.4818896031017,402.1145801448831,401.76767676767673,401.4411794714825,401.1350882563003,400.84940312213035,400.5841240689725,400.33925109682684,400.11478420569324,399.91072339557184,399.72706866646257,399.56382001836545,399.42097745128046,399.2985409652076,399.1965105601469,399.11488623609836,399.0536679930619,399.0128558310376,398.99244975002546,398.99244975002546,399.0128558310376,399.0536679930619,399.11488623609836,399.1965105601469,399.2985409652076,399.42097745128046,399.56382001836545,399.72706866646257,399.91072339557184,400.11478420569324,400.33925109682684,400.5841240689725,400.84940312213035,401.1350882563003,401.4411794714825,401.76767676767673,402.1145801448831,402.4818896031017,402.8696051423324,403.27772676257524,403.7062544638302,404.1551882460973,404.62452810937657,405.11427405366794,405.6244260789715,406.15498418528716,406.705948372615,407.277318640955,407.8690949903071,408.48127742067135,409.1138659320477,409.76686052443625,410.44026119783695,411.1340679522497,411.8482807876747,412.5828997041118,413.337924701561,414.1133557800224,414.90919293949594,415.7254361799816,416.56208550147943,417.41914090398933,418.2966023875115,419.19446995204567,420.11274359759204,421.05142332415056,422.0105091317212,422.990001020304,423.98989898989896],[434.0909090909092,433.09101112131424,432.11151923273144,431.1524334251608,430.21375369860226,429.2954800530559,428.39761248852164,427.5201510049996,426.66309560248965,425.82644628099183,425.01020304050616,424.2143658810326,423.4389348025713,422.683909805122,421.9492908886849,421.23507805325994,420.54127129884716,419.86787062544647,419.2148760330579,418.58228752168156,417.9701050913173,417.3783287419652,416.80695847362523,416.2559942862974,415.7254361799817,415.21528415467816,414.7255382103868,414.2561983471075,413.8072645648404,413.37873686358546,412.9706152433426,412.5828997041119,412.21559024589334,411.86868686868695,411.5421895724927,411.23609835731054,410.9504132231406,410.68513416998275,410.44026119783706,410.21579430670346,410.01173349658205,409.8280787674728,409.66483011937567,409.5219875522907,409.39955106621784,409.29752066115714,409.2158963371086,409.1546780940721,409.1138659320478,409.0934598510357,409.0934598510357,409.1138659320478,409.1546780940721,409.2158963371086,409.29752066115714,409.39955106621784,409.5219875522907,409.66483011937567,409.8280787674728,410.01173349658205,410.21579430670346,410.44026119783706,410.68513416998275,410.9504132231406,411.23609835731054,411.5421895724927,411.86868686868695,412.21559024589334,412.5828997041119,412.9706152433426,413.37873686358546,413.8072645648404,414.2561983471075,414.7255382103868,415.21528415467816,415.7254361799817,416.2559942862974,416.80695847362523,417.3783287419652,417.9701050913173,418.58228752168156,419.2148760330579,419.86787062544647,420.54127129884716,421.23507805325994,421.9492908886849,422.683909805122,423.4389348025712,424.2143658810326,425.01020304050616,425.82644628099183,426.66309560248965,427.52015100499955,428.39761248852164,429.2954800530559,430.21375369860226,431.1524334251608,432.11151923273144,433.09101112131424,434.0909090909092],[444.1919191919192,443.1920212223243,442.2125293337415,441.2534435261708,440.3147637996123,439.39649015406593,438.4986225895317,437.62116110600965,436.7641057034997,435.9274563820019,435.1112131415162,434.31537598204267,433.53994490358133,432.7849199061321,432.05030098969496,431.33608815427,430.6422813998572,429.9688807264565,429.31588613406797,428.6832976226916,428.07111519232734,427.47933884297527,426.9079685746353,426.3570043873074,425.8264462809918,425.3162942556882,424.82654831139683,424.35720844811755,423.90827466585046,423.4797469645955,423.07162534435264,422.68390980512197,422.3166003469034,421.969696969697,421.64319967350275,421.3371084583206,421.0514233241506,420.7861442709928,420.5412712988471,420.3168044077135,420.1127435975921,419.92908886848284,419.7658402203857,419.62299765330073,419.5005611672279,419.3985307621672,419.3169064381186,419.25568819508214,419.21487603305786,419.1944699520457,419.1944699520457,419.21487603305786,419.25568819508214,419.3169064381186,419.3985307621672,419.5005611672279,419.62299765330073,419.7658402203857,419.92908886848284,420.1127435975921,420.3168044077135,420.5412712988471,420.7861442709928,421.0514233241506,421.3371084583206,421.64319967350275,421.969696969697,422.3166003469034,422.68390980512197,423.07162534435264,423.4797469645955,423.90827466585046,424.35720844811755,424.82654831139683,425.3162942556882,425.8264462809918,426.3570043873074,426.9079685746353,427.47933884297527,428.07111519232734,428.6832976226916,429.31588613406797,429.9688807264565,430.6422813998572,431.33608815427,432.05030098969496,432.7849199061321,433.5399449035813,434.31537598204267,435.1112131415162,435.9274563820019,436.7641057034997,437.6211611060096,438.4986225895317,439.39649015406593,440.3147637996123,441.2534435261708,442.2125293337415,443.1920212223243,444.1919191919192],[454.2929292929292,453.2930313233343,452.3135394347515,451.3544536271808,450.4157739006223,449.4975002550759,448.5996326905417,447.72217120701964,446.8651158045097,446.02846648301187,445.2122232425262,444.41638608305266,443.6409550045913,442.88593000714206,442.15131109070495,441.43709825528,440.7432915008672,440.0698908274665,439.41689623507796,438.7843077237016,438.17212529333733,437.58034894398526,437.00897867564527,436.4580144883174,435.92745638200176,435.4173043566982,434.9275584124068,434.45821854912754,434.00928476686045,433.5807570656055,433.17263544536263,432.78491990613196,432.4176104479134,432.070707070707,431.74420977451274,431.4381185593306,431.1524334251606,430.8871543720028,430.6422813998571,430.4178145087235,430.2137536986021,430.0300989694928,429.8668503213957,429.7240077543107,429.6015712682379,429.4995408631772,429.4179165391286,429.35669829609213,429.31588613406785,429.2954800530557,429.2954800530557,429.31588613406785,429.35669829609213,429.4179165391286,429.4995408631772,429.6015712682379,429.7240077543107,429.8668503213957,430.0300989694928,430.2137536986021,430.4178145087235,430.6422813998571,430.8871543720028,431.1524334251606,431.4381185593306,431.74420977451274,432.070707070707,432.4176104479134,432.78491990613196,433.17263544536263,433.5807570656055,434.00928476686045,434.45821854912754,434.9275584124068,435.4173043566982,435.92745638200176,436.4580144883174,437.00897867564527,437.58034894398526,438.17212529333733,438.7843077237016,439.41689623507796,440.0698908274665,440.7432915008672,441.43709825528,442.15131109070495,442.88593000714206,443.64095500459126,444.41638608305266,445.2122232425262,446.02846648301187,446.8651158045097,447.7221712070196,448.59963269054174,449.4975002550759,450.4157739006223,451.3544536271808,452.3135394347515,453.2930313233343,454.2929292929292],[464.39393939393943,463.3940414243445,462.4145495357617,461.45546372819103,460.5167840016325,459.59851035608614,458.7006427915519,457.82318130802986,456.9661259055199,456.1294765840221,455.3132333435364,454.5173961840629,453.74196510560154,452.9869401081523,452.25232119171517,451.5381083562902,450.8443016018774,450.1709009284767,449.5179063360882,448.8853178247118,448.27313539434755,447.6813590449955,447.1099887766555,446.55902458932763,446.028466483012,445.5183144577084,445.02856851341704,444.55922865013775,444.11029486787066,443.6817671666157,443.27364554637285,442.8859300071422,442.5186205489236,442.1717171717172,441.84521987552296,441.5391286603408,441.2534435261708,440.988164473013,440.7432915008673,440.5188246097337,440.3147637996123,440.13110907050304,439.9678604224059,439.82501785532094,439.7025813692481,439.6005509641874,439.51892664013883,439.45770839710235,439.41689623507807,439.39649015406593,439.39649015406593,439.41689623507807,439.45770839710235,439.51892664013883,439.6005509641874,439.7025813692481,439.82501785532094,439.9678604224059,440.13110907050304,440.3147637996123,440.5188246097337,440.7432915008673,440.988164473013,441.2534435261708,441.5391286603408,441.84521987552296,442.1717171717172,442.5186205489236,442.8859300071422,443.27364554637285,443.6817671666157,444.11029486787066,444.55922865013775,445.02856851341704,445.5183144577084,446.028466483012,446.55902458932763,447.1099887766555,447.6813590449955,448.27313539434755,448.8853178247118,449.5179063360882,450.1709009284767,450.8443016018774,451.5381083562902,452.25232119171517,452.9869401081523,453.7419651056015,454.5173961840629,455.3132333435364,456.1294765840221,456.9661259055199,457.8231813080298,458.7006427915519,459.59851035608614,460.5167840016325,461.45546372819103,462.4145495357617,463.3940414243445,464.39393939393943],[474.4949494949495,473.49505152535454,472.51555963677174,471.5564738292011,470.61779410264256,469.6995204570962,468.80165289256195,467.9241914090399,467.06713600652995,466.23048668503213,465.41424344454646,464.6184062850729,463.8429752066116,463.08795020916233,462.3533312927252,461.63911845730024,460.94531170288747,460.2719110294868,459.6189164370982,458.98632792572187,458.3741454953576,457.7823691460055,457.21099887766553,456.6600346903377,456.12947658402203,455.61932455871846,455.1295786144271,454.6602387511478,454.2113049688807,453.78277726762576,453.3746556473829,452.9869401081522,452.61963064993364,452.27272727272725,451.946229976533,451.64013876135084,451.3544536271809,451.08917457402305,450.84430160187736,450.61983471074376,450.41577390062236,450.2321191715131,450.06887052341597,449.926027956331,449.80359147025814,449.70156106519744,449.6199367411489,449.5587184981124,449.5179063360881,449.497500255076,449.497500255076,449.5179063360881,449.5587184981124,449.6199367411489,449.70156106519744,449.80359147025814,449.926027956331,450.06887052341597,450.2321191715131,450.41577390062236,450.61983471074376,450.84430160187736,451.08917457402305,451.3544536271809,451.64013876135084,451.946229976533,452.27272727272725,452.61963064993364,452.9869401081522,453.3746556473829,453.78277726762576,454.2113049688807,454.6602387511478,455.1295786144271,455.61932455871846,456.12947658402203,456.6600346903377,457.21099887766553,457.7823691460055,458.3741454953576,458.98632792572187,459.6189164370982,460.2719110294868,460.94531170288747,461.63911845730024,462.3533312927252,463.08795020916233,463.8429752066115,464.6184062850729,465.41424344454646,466.23048668503213,467.06713600652995,467.92419140903985,468.80165289256195,469.6995204570962,470.61779410264256,471.5564738292011,472.51555963677174,473.49505152535454,474.4949494949495],[484.5959595959595,483.5960616263646,482.6165697377818,481.65748393021113,480.7188042036526,479.80053055810623,478.902662993572,478.02520151004995,477.16814610754,476.3314967860422,475.5152535455565,474.71941638608297,473.94398530762163,473.1889603101724,472.45434139373526,471.7401285583103,471.0463218038975,470.3729211304968,469.71992653810827,469.0873380267319,468.47515559636764,467.88337924701557,467.3120089786756,466.76104479134773,466.2304866850321,465.7203346597285,465.23058871543714,464.76124885215785,464.31231506989076,463.8837873686358,463.47566574839294,463.0879502091623,462.7206407509437,462.3737373737373,462.04724007754305,461.7411488623609,461.4554637281909,461.1901846750331,460.9453117028874,460.7208448117538,460.5167840016324,460.33312927252314,460.169880624426,460.02703805734103,459.9046015712682,459.8025711662075,459.7209468421589,459.65972859912245,459.61891643709816,459.598510356086,459.598510356086,459.61891643709816,459.65972859912245,459.7209468421589,459.8025711662075,459.9046015712682,460.02703805734103,460.169880624426,460.33312927252314,460.5167840016324,460.7208448117538,460.9453117028874,461.1901846750331,461.4554637281909,461.7411488623609,462.04724007754305,462.3737373737373,462.7206407509437,463.0879502091623,463.47566574839294,463.8837873686358,464.31231506989076,464.76124885215785,465.23058871543714,465.7203346597285,466.2304866850321,466.76104479134773,467.3120089786756,467.88337924701557,468.47515559636764,469.0873380267319,469.71992653810827,470.3729211304968,471.0463218038975,471.7401285583103,472.45434139373526,473.1889603101724,473.9439853076216,474.71941638608297,475.5152535455565,476.3314967860422,477.16814610754,478.0252015100499,478.902662993572,479.80053055810623,480.7188042036526,481.65748393021113,482.6165697377818,483.5960616263646,484.5959595959595],[494.69696969696975,493.6970717273748,492.717579838792,491.75849403122135,490.8198143046628,489.90154065911645,489.0036730945822,488.12621161106017,487.2691562085502,486.4325068870524,485.6162636465667,484.8204264870932,484.04499540863185,483.2899704111826,482.5553514947455,481.8411386593205,481.14733190490773,480.47393123150704,479.8209366391185,479.18834812774213,478.57616569737786,477.9843893480258,477.4130190796858,476.86205489235795,476.3314967860423,475.8213447607387,475.33159881644735,474.86225895316807,474.413325170901,473.984797469646,473.57667584940316,473.1889603101725,472.8216508519539,472.4747474747475,472.14825017855327,471.8421589633711,471.55647382920114,471.2911947760433,471.0463218038976,470.821854912764,470.6177941026426,470.43413937353336,470.27089072543623,470.12804815835125,470.0056116722784,469.9035812672177,469.82195694316914,469.76073870013266,469.7199265381084,469.69952045709624,469.69952045709624,469.7199265381084,469.76073870013266,469.82195694316914,469.9035812672177,470.0056116722784,470.12804815835125,470.27089072543623,470.43413937353336,470.6177941026426,470.821854912764,471.0463218038976,471.2911947760433,471.55647382920114,471.8421589633711,472.14825017855327,472.4747474747475,472.8216508519539,473.1889603101725,473.57667584940316,473.984797469646,474.413325170901,474.86225895316807,475.33159881644735,475.8213447607387,476.3314967860423,476.86205489235795,477.4130190796858,477.9843893480258,478.57616569737786,479.18834812774213,479.8209366391185,480.47393123150704,481.14733190490773,481.8411386593205,482.5553514947455,483.2899704111826,484.0449954086318,484.8204264870932,485.6162636465667,486.4325068870524,487.2691562085502,488.1262116110601,489.00367309458227,489.90154065911645,490.8198143046628,491.75849403122135,492.717579838792,493.6970717273748,494.69696969696975],[504.79797979797974,503.7980818283848,502.818589939802,501.85950413223134,500.9208244056728,500.00255076012644,499.1046831955922,498.22722171207016,497.3701663095602,496.5335169880624,495.7172737475767,494.9214365881032,494.14600550964184,493.3909805121926,492.65636159575547,491.9421487603305,491.2483420059177,490.574941332517,489.9219467401285,489.2893582287521,488.67717579838785,488.0853994490358,487.5140291806958,486.96306499336794,486.4325068870523,485.9223548617487,485.43260891745734,484.96326905417806,484.51433527191097,484.085807570656,483.67768595041315,483.2899704111825,482.9226609529639,482.5757575757575,482.24926027956326,481.9431690643811,481.65748393021113,481.3922048770533,481.1473319049076,480.922865013774,480.7188042036526,480.53514947454335,480.3719008264462,480.22905825936124,480.1066217732884,480.0045913682277,479.92296704417913,479.86174880114265,479.8209366391184,479.80053055810623,479.80053055810623,479.8209366391184,479.86174880114265,479.92296704417913,480.0045913682277,480.1066217732884,480.22905825936124,480.3719008264462,480.53514947454335,480.7188042036526,480.922865013774,481.1473319049076,481.3922048770533,481.65748393021113,481.9431690643811,482.24926027956326,482.5757575757575,482.9226609529639,483.2899704111825,483.67768595041315,484.085807570656,484.51433527191097,484.96326905417806,485.43260891745734,485.9223548617487,486.4325068870523,486.96306499336794,487.5140291806958,488.0853994490358,488.67717579838785,489.2893582287521,489.9219467401285,490.574941332517,491.2483420059177,491.9421487603305,492.65636159575547,493.3909805121926,494.1460055096418,494.9214365881032,495.7172737475767,496.5335169880624,497.3701663095602,498.2272217120701,499.1046831955922,500.00255076012644,500.9208244056728,501.85950413223134,502.818589939802,503.7980818283848,504.79797979797974],[514.89898989899,513.899091929395,512.9196000408122,511.96051423324155,511.02183450668304,510.10356086113666,509.2056932966024,508.3282318130804,507.4711764105704,506.6345270890726,505.81828384858693,505.0224466891134,504.24701561065206,503.4919906132028,502.7573716967657,502.0431588613407,501.34935210692794,500.67595143352725,500.0229568411387,499.39036832976234,498.77818589939807,498.186409550046,497.615039281706,497.06407509437815,496.5335169880625,496.02336496275893,495.53361901846756,495.0642791551883,494.6153453729212,494.18681767166623,493.77869605142337,493.3909805121927,493.0236710539741,492.6767676767677,492.3502703805735,492.0441791653913,491.75849403122135,491.4932149780635,491.24834200591783,491.02387511478423,490.8198143046628,490.63615957555356,490.47291092745644,490.33006836037146,490.2076318742986,490.1056014692379,490.02397714518935,489.96275890215287,489.9219467401286,489.90154065911645,489.90154065911645,489.9219467401286,489.96275890215287,490.02397714518935,490.1056014692379,490.2076318742986,490.33006836037146,490.47291092745644,490.63615957555356,490.8198143046628,491.02387511478423,491.24834200591783,491.4932149780635,491.75849403122135,492.0441791653913,492.3502703805735,492.6767676767677,493.0236710539741,493.3909805121927,493.77869605142337,494.18681767166623,494.6153453729212,495.0642791551883,495.53361901846756,496.02336496275893,496.5335169880625,497.06407509437815,497.615039281706,498.186409550046,498.77818589939807,499.39036832976234,500.0229568411387,500.67595143352725,501.34935210692794,502.0431588613407,502.7573716967657,503.4919906132028,504.247015610652,505.0224466891134,505.81828384858693,506.6345270890726,507.4711764105704,508.3282318130803,509.2056932966025,510.10356086113666,511.02183450668304,511.96051423324155,512.9196000408122,513.899091929395,514.89898989899],[525.0,524.0001020304051,523.0206101418223,522.0615243342517,521.1228446076931,520.2045709621467,519.3067033976125,518.4292419140904,517.5721865115804,516.7355371900826,515.919293949597,515.1234567901234,514.3480257116621,513.5930007142128,512.8583817977758,512.1441689623508,511.450362207938,510.7769615345373,510.12396694214874,509.4913784307724,508.8791960004081,508.28741965105604,507.71604938271605,507.1650851953882,506.63452708907255,506.124375063769,505.6346291194776,505.1652892561983,504.71635547393123,504.2878277726763,503.8797061524334,503.49199061320274,503.12468115498416,502.77777777777777,502.4512804815835,502.14518926640136,501.8595041322314,501.59422507907357,501.3493521069279,501.1248852157943,500.9208244056729,500.7371696765636,500.5739210284665,500.4310784613815,500.30864197530866,500.20661157024796,500.1249872461994,500.0637690031629,500.02295684113864,500.0025507601265,500.0025507601265,500.02295684113864,500.0637690031629,500.1249872461994,500.20661157024796,500.30864197530866,500.4310784613815,500.5739210284665,500.7371696765636,500.9208244056729,501.1248852157943,501.3493521069279,501.59422507907357,501.8595041322314,502.14518926640136,502.4512804815835,502.77777777777777,503.12468115498416,503.49199061320274,503.8797061524334,504.2878277726763,504.71635547393123,505.1652892561983,505.6346291194776,506.124375063769,506.63452708907255,507.1650851953882,507.71604938271605,508.28741965105604,508.8791960004081,509.4913784307724,510.12396694214874,510.7769615345373,511.450362207938,512.1441689623508,512.8583817977758,513.5930007142128,514.3480257116621,515.1234567901234,515.919293949597,516.7355371900826,517.5721865115804,518.4292419140904,519.3067033976125,520.2045709621467,521.1228446076931,522.0615243342517,523.0206101418223,524.0001020304051,525.0]],"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: sharp_ridge"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}