[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,32.2906952,214.293945,317.2959,419.2975,360.296631,615.300964,764.3035,810.30426,964.307,1119.3103,1097.30981,1086.30957,1369.31616,1600.32031,1708.31763,1774.31616,1872.314,1986.31128,2094.30884,2217.306,2261.305,2486.29956,2344.303,2677.29517,2575.29761,2802.29224,2988.288,2850.29126,2998.28784,3137.28467,3142.28442,3127.285,3394.27856,3264.282,3433.27759,3445.27734,3484.27661,3517.27563,3475.27661,3680.272,3565.27466,3575.27441,3584.27417,3730.27075,3682.272,3709.27124,3810.269,3715.27124,3865.26758,3815.2688,3754.27026,3906.26685,3788.26953,3753.27026,3844.268,3718.271,3822.269,3782.26953,3698.27148,3882.26733,3728.27075,3755.27026,3555.275,3773.26978,3596.274,3620.27344,3683.272,3498.27612,3680.272,3666.27222,3692.27173,3425.27783,3383.27881,3486.27637,3458.277,3436.27759,3524.27563,3348.27979,3428.27783,3375.279,3376.279,3268.28149,3175.28369,3261.28174,3135.28467,3151.28418,3047.28662,3041.28687,2962.28857,2928.28931,3008.2876,3058.28638,2911.28979,2924.28955,2852.29126,2916.28979,2768.29321,2780.29272,2694.295,2765.29321,2565.29785,2713.29443,2494.29956,2522.29883,2639.29614,2486.29956,2404.30151,2444.30054,2414.30127,2410.30151,2453.30054,2347.303,2285.3042,2244.30518,2299.304,2179.307,2229.30566,2146.30762,2167.30713,2242.30542,1912.313,1985.31128,1994.311,1972.31152,2051.30981,2036.31,2009.31079,1915.313,2032.31055,1895.31348,1920.31274,1913.313,1878.31372,1792.31567,1823.315,1889.31348,1851.31445,1699.31787,1764.31641,1796.31567,1642.31934,1767.31641,1747.31689,1737.31714,1688.31812,1677.31836,1540.32007,1585.32056,1503.31909,1440.31763,1573.3208,1591.32031,1444.31787,1518.31958,1390.31665,1431.31738,1406.31689,1534.31982,1404.31689,1402.31689,1311.3147,1366.31592,1256.31348,1326.315,1151.311,1196.312,1120.3103,1129.31055,1063.30884,1125.3103,1024.30811,1136.31055,1058.30884,1011.308,905.3059,966.307,812.3045,863.3052,773.3037,791.304138,735.303,844.305054,616.300964,667.3019,556.299866,493.298767,544.2997,378.296753,547.2997,412.297546,411.297546,483.298584,356.2964,374.296753,299.295471,334.296021,207.293747,111.291977,144.292557,212.293991,168.292953,136.292358,242.294342,0.0,0.0,23.2904968,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.290068,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,60.2910233,0.0,0.0,0.0,0.0,0.0,70.291214,92.2915955,22.2905045,0.0,77.2914047,151.292755,119.292168,169.2932,66.2912,85.29165,51.2908325,234.294388,186.29335,183.29335,177.293152,150.29274,91.2915955,198.293549,234.294388,311.295654,195.293549,285.295349,386.296936,239.294342,319.295837,256.294739,264.294983,293.2953,334.296021,328.296082,218.293945,348.296448,400.297119,344.2962,338.296265,311.295654,367.29657,407.2973,376.296753,460.298218,393.297119,372.296753,422.297729,473.2984,415.2975,469.2984,432.2979,413.297546,419.2975,419.2975,403.2973,523.2993,400.297119,468.2984,446.298035,600.3006,501.29895,511.299133,537.299744,496.299,542.2997,633.3014,557.299866,526.2993,642.301331,647.3015,588.3004,565.300049,578.300232,645.3015,559.3001,570.3003,523.2993,713.3026,644.3016,668.3019,625.301147,692.302246,665.301941,601.300842,655.301758,748.3034,655.301758,751.303345,738.3032,634.3014,759.3036,719.3028,716.302856,708.3026,787.3039,725.3028,713.3026,859.3052,739.3032,722.3028,765.3035,772.3037,755.303345,722.3028,775.3037,768.3035,848.305,799.3041,770.3038,673.3019,870.305359,895.305969,849.305,961.307,825.3046,930.306458,876.3056,881.305542,820.304443,820.304443,853.305237,737.3032,749.3034,1003.30774,914.3061,759.3036,897.305969,876.3056,895.305969,864.3054,786.3039,939.3067,951.3068,950.3068,725.3028,804.30426,944.306641,743.303162,820.304443,871.305359,826.3046,926.3063,826.3046,976.3072,769.3038,998.307556,849.305,827.3046,992.3076,914.3061,843.305054,782.3039,852.305,830.3046,929.306458,836.3048,858.3052,802.3043,843.305054,947.306641,833.3049,976.3072,893.3057,742.303162,857.3052,938.3067,796.3041,844.305054,797.3041,766.3035,819.304443,723.3028,790.304138,837.3048,844.305054,750.303345,593.3006,806.30426,807.30426,771.3038,656.3017,754.303345,576.300232,769.3038,523.2993,691.302246,513.299133,587.3004,599.3006,470.2984,473.2984,650.3015,486.298828,487.298767,518.2994,576.300232,526.2993,432.2979,551.299866,410.2973,557.299866,583.3004,387.296936,457.298218,507.2992,543.2997,484.298584,518.2994,551.299866,571.300232,641.301331,565.300049,484.298584,587.3004,655.301758,608.3008,585.3004,709.3026,702.3024,769.3038,782.3039,659.3017,779.3037,773.3037,779.3037,814.304443,898.3059,790.304138,868.305359,886.3058,869.305359,899.3059,826.3046,958.3068,960.307068,897.305969,992.3076,958.3068,1004.30774,1008.30774,1000.30756,1077.30933,1021.30792,991.3076,1019.30792,1073.30908,1015.30792,968.307,1055.30884,1101.30981,1100.30981,845.305,1077.30933,964.307,912.3061,968.307,960.307068,995.307556,1102.30981,1058.30884,900.3059,908.3061,1018.30792,916.306335,1029.30811,930.306458,1007.30774,973.3072,822.3047,839.3048,888.3057,741.303162,853.305237,787.3039,776.3037,789.3039,806.30426,757.303345,767.3035,695.3025,665.301941,645.3015,624.301147,597.3006,727.30304,609.3008,604.3008,555.299866,521.2993,603.3008,451.298035,444.2981,548.2999,409.2973,446.298035,533.2995,461.298218,358.296631,438.297852,347.2962,362.29657,354.2964,332.296021,191.2936,231.294144,152.292755,229.294144,257.294739,226.294144,267.294922,289.2953,92.2915955,90.2915955,179.2934,168.292953,127.292412,0.0,52.2908325,43.2908859,35.29064,0.0,67.291214,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]