[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,86.3390045,85.33901,232.341751,414.344849,517.346741,619.3483,560.3475,815.3518,964.3544,1010.3551,1164.35864,1319.3623,1297.36182,1286.36157,1569.36816,1800.37231,1908.36963,1974.36816,2072.366,2186.36328,2294.36084,2417.358,2461.357,2686.35156,2544.355,2877.34717,2775.34961,3002.34424,3188.34,3050.34326,3198.33984,3337.33667,3342.33643,3327.337,3594.33057,3464.334,3633.32959,3645.32935,3684.32861,3717.32764,3675.32861,3880.324,3765.32666,3775.32642,3784.32617,3930.32275,3882.324,3909.32324,4010.321,3915.32324,4065.31958,4015.3208,3954.32227,4106.319,3988.32153,3953.32227,4044.32,3918.323,4022.321,3982.32153,3898.32349,4082.31934,3928.32275,3955.32227,3755.327,3973.32178,3796.326,3820.32544,3883.324,3698.32813,3880.324,3866.32422,3892.32373,3625.32983,3583.33081,3686.32837,3658.329,3636.32959,3724.32764,3548.33179,3628.32983,3575.331,3576.331,3468.3335,3375.33569,3461.33374,3335.33667,3351.33618,3247.33862,3241.33887,3162.34058,3128.34131,3208.3396,3258.33838,3111.3418,3124.34155,3052.34326,3116.3418,2968.34521,2980.34473,2894.347,2965.34521,2765.34985,2913.34644,2694.35156,2722.35083,2839.34814,2686.35156,2604.35352,2644.35254,2614.35327,2610.35352,2653.35254,2547.355,2485.3562,2444.35718,2499.356,2379.359,2429.35767,2346.35962,2367.35913,2442.35742,2112.365,2185.36328,2194.363,2172.36353,2251.36182,2236.362,2209.36279,2115.365,2232.36255,2095.36548,2120.36475,2113.365,2078.36572,1992.36768,2023.367,2089.36548,2051.36646,1899.36987,1964.36841,1996.36768,1842.37134,1967.36841,1947.3689,1937.36914,1888.37012,1877.37036,1740.37207,1785.37256,1703.37109,1640.36963,1773.3728,1791.37231,1644.36987,1718.37158,1590.36865,1631.36938,1606.3689,1734.37183,1604.3689,1602.3689,1511.3667,1566.36792,1456.36548,1526.367,1351.363,1396.364,1320.3623,1329.36255,1263.36084,1325.3623,1224.36011,1336.36255,1258.36084,1211.35986,1105.35718,1166.35864,1012.35535,1063.3562,973.354553,991.355,935.3538,1044.356,816.3518,867.3527,756.3507,693.3496,744.3505,578.3476,747.3505,612.3484,611.3484,683.3494,556.3472,574.3476,499.3463,534.346863,407.344666,311.343018,344.343567,412.3449,368.343933,336.343384,442.3452,161.340317,197.340912,223.341553,57.3383865,63.3383865,0.0,76.33881,39.3380051,58.3383865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,35.3380051,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.337477,0.0,0.0,0.0,32.33806,56.3383865,120.339531,0.0,0.0,134.339722,77.33877,44.33824,176.340515,66.33856,204.34111,70.33858,127.339775,154.340118,113.33934,185.340714,61.3383865,85.33901,147.33992,149.340164,260.3421,163.340317,157.340118,162.340317,134.339722,179.340759,270.3423,292.342651,222.341553,181.340759,277.342468,351.34375,319.3432,369.344177,266.3423,285.3427,251.3419,434.345276,386.3443,383.3443,377.344116,350.34375,291.342651,398.344482,434.345276,511.3465,395.344482,485.3462,586.3478,439.3452,519.3467,456.345581,464.345825,493.34613,534.346863,528.3469,418.344849,548.3473,600.347961,544.347046,538.3471,511.3465,567.3474,607.348145,576.3476,660.34906,593.347961,572.3476,622.3486,673.349243,615.3483,669.349243,632.348755,613.3484,619.3483,619.3483,603.348145,723.350159,600.347961,668.349243,646.3489,800.35144,701.3498,711.35,737.3506,696.349854,742.3505,833.352234,757.3507,726.350159,842.3522,847.352356,788.351257,765.3509,778.3511,845.352356,759.350952,770.351135,723.350159,913.353455,844.3524,868.3527,825.352,892.3531,865.3528,801.3517,855.3526,948.354248,855.3526,951.3542,938.354065,834.352234,959.354431,919.353638,916.3537,908.353455,987.354736,925.353638,913.353455,1059.3562,939.354065,922.353638,965.3544,972.354553,955.3542,922.353638,975.354553,968.3544,1048.356,999.3549,970.3546,873.3527,1070.35645,1095.35718,1049.356,1161.35864,1025.35547,1130.35791,1076.35669,1081.35669,1020.35529,1020.35529,1053.3562,937.354065,949.354248,1203.35962,1114.35742,959.354431,1097.35718,1076.35669,1095.35718,1064.35645,986.354736,1139.35815,1151.3584,1150.3584,925.353638,1004.3551,1144.35815,943.354,1020.35529,1071.35645,1026.35547,1126.35767,1026.35547,1176.35889,969.3546,1198.35938,1049.356,1027.35547,1192.35938,1114.35742,1043.356,982.354736,1052.356,1030.35547,1129.35791,1036.35571,1058.3562,1002.35516,1043.356,1147.35815,1033.35571,1176.35889,1093.35693,942.354,1057.3562,1138.35815,996.3549,1044.356,997.3549,966.3544,1019.35529,923.353638,990.355,1037.35571,1044.356,950.3542,793.35144,1006.3551,1007.3551,971.3546,856.352539,954.3542,776.3511,969.3546,723.350159,891.3531,713.35,787.351257,799.35144,670.349243,673.349243,850.352356,686.3497,687.3496,718.3502,776.3511,726.350159,632.348755,751.3507,610.348145,757.3507,783.351257,587.3478,657.34906,707.350037,743.3505,684.3494,718.3502,751.3507,771.3511,841.3522,765.3509,684.3494,787.351257,855.3526,808.3516,785.351257,909.353455,902.3533,969.3546,982.354736,859.352539,979.354553,973.354553,979.354553,1014.35529,1098.35718,990.355,1068.35645,1086.35693,1069.35645,1099.35718,1026.35547,1158.3584,1160.35864,1097.35718,1192.35938,1158.3584,1204.35962,1208.35962,1200.35938,1277.36133,1221.35986,1191.35938,1219.35986,1273.36108,1215.35986,1168.35864,1255.36084,1301.36182,1300.36182,1045.356,1277.36133,1164.35864,1112.35742,1168.35864,1160.35864,1195.35938,1302.36182,1258.36084,1100.35718,1108.35742,1218.35986,1116.35767,1229.36011,1130.35791,1207.35962,1173.35889,1022.35553,1039.35571,1088.35693,941.354,1053.3562,987.354736,976.354553,989.354736,1006.3551,957.3542,967.3544,895.353333,865.3528,845.352356,824.352,797.35144,927.3539,809.3516,804.3516,755.3507,721.350159,803.3516,651.3489,644.348938,748.350769,609.348145,646.3489,733.350342,661.34906,558.3475,638.3487,547.347046,562.3474,554.3472,532.346863,391.344543,431.345032,352.34375,429.345032,457.345581,426.345032,467.345764,489.34613,292.342651,290.342651,379.34436,368.343933,327.343445,144.33992,252.3419,243.341949,235.3417,163.340317,267.3423,148.340164,140.33992,82.33877,63.3383865,153.340118,81.33877,45.33818,13.3376074,10.3374319,4.33743143,6.33743238,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]