# Format: McCode with text headers # URL: http://www.mccode.org # Creator: 3.99.99, git # Instrument: Test_Powders.instr # Ncount: 500000 # Trace: no # Gravitation: no # Seed: 1000 # Directory: 18 # Nodes: 20 # Param: comp=1 # Param: lambda=2.5 # Param: L1=10 # Param: directbeam=0 # Param: material=LaMnO3 # Param: SPLITS=1 # Param: frac_t=0.1 # Param: sxmos=60 # Param: twotheta=80 # Date: Fri May 22 09:55:48 2026 (1779436548) # type: array_2d(360, 180) # Source: Test_PowderN (Test_Powders.instr) # component: Sph_mon # position: 0 0 10 # title: 4PI PSD monitor # Ncount: 10000000 # filename: Sphere.dat # statistics: X0=0.0519285; dX=102.733; Y0=0.491812; dY=37.9687; # signal: Min=0; Max=81418.2; Mean=3835.71; # values: 2.48554e+08 179606 8.98125e+06 # xvar: Lo # yvar: La # xlabel: Longitude [deg] # ylabel: Latitude [deg] # zvar: I # zlabel: Signal per bin # xylimits: -180 180 -90 90 # variables: I I_err N # Data [Sph_mon/Sphere.dat] I: 0 0 0 0 0.03710611354 0.2026833101 8.413776088 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350.6381501 423.8886926 720.0843824 873.14648 672.1171284 1338.504489 1442.231569 1373.56388 1007.917577 1446.158465 2440.985385 2419.432971 2842.461737 3683.810483 3008.851608 3073.53674 2698.335187 3252.834961 2771.725184 2384.405015 2152.281487 1676.786139 1322.851012 1056.893799 1149.043536 946.0118018 855.2940408 467.824536 458.940717 369.3549334 302.2037427 219.0858041 134.7892592 130.8264205 72.1016311 61.4929371 157.2598396 50.74174461 128.6875934 50.67756406 146.2230528 247.9820616 240.3908402 356.9930552 895.6212849 1264.413638 2038.211995 2595.444629 2512.816711 2818.608012 2915.290262 2642.416943 2819.15931 2499.768617 1543.894218 2067.764733 1322.15347 789.9380936 1272.562328 1063.057903 998.5967025 826.5273735 1393.438776 1978.908133 1807.294962 2244.307939 1936.251695 2713.577999 2580.588589 1525.670272 1504.632896 1306.464569 1458.627835 1516.396872 1130.581415 867.817129 1122.915843 738.008877 476.7691278 248.126095 166.1359197 201.9567782 176.602979 219.9079988 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579.984633 535.1920018 777.07645 525.6340555 440.5094903 708.1075899 522.8583999 758.1099115 417.959758 559.0024837 417.3981379 372.4230305 395.1257916 388.6757735 288.4830582 102.2988138 243.570895 271.6714626 163.0467393 366.0569988 226.0258423 176.9301172 283.4368782 393.7050306 363.2387465 508.5844337 192.0036663 400.2689286 368.7728386 421.6552726 434.157598 501.6733022 775.2013581 440.9502508 509.3295355 414.2738168 538.653119 811.2236109 578.9970699 670.5263227 908.0157403 851.6700755 552.7023461 754.3159469 626.2766775 514.7530203 629.0878673 704.8438689 599.7465366 606.5717316 747.711692 670.0360818 461.5622525 498.4698403 619.6675999 334.2168508 506.531856 315.4572025 284.8030583 248.0860167 237.5350402 284.3916208 352.3483393 239.1704981 274.3894777 203.8411859 303.5575713 303.0232283 558.7288375 554.4140984 777.2322879 971.2643875 641.9604213 699.38856 761.0757508 891.1266603 750.5623329 490.8199423 467.5508037 685.1032154 729.4487573 475.7547164 580.7891672 334.3638526 161.6684017 244.2835022 251.4908297 169.9456619 231.2568268 109.51555 121.832631 117.8105123 173.8056261 157.9562656 186.4092206 93.351585 136.7725641 60.80277841 268.2221356 180.9360256 72.03648139 139.3880921 126.4830535 174.4229403 115.6214107 88.95919827 68.01310513 268.5741236 194.2331432 258.2829396 354.5640854 494.4542714 538.5153739 1168.498274 1167.77803 1201.591126 1459.982259 1884.813035 1449.602575 2066.809967 2373.178552 3411.593614 2453.646337 3254.749813 4216.931994 3206.853186 2970.067553 2999.153512 2307.004588 2364.544619 2015.636514 1445.400907 1354.589623 934.4084278 927.6782345 716.6657617 471.5136245 470.6887768 302.8893338 232.9264082 191.6369455 105.7595034 59.25725672 90.65405793 166.8160175 119.5713568 199.713819 128.4991492 142.8728359 276.7299259 438.5951477 832.6907732 1220.200612 1569.479792 2264.999703 2718.841311 3790.045144 3855.52607 3570.140339 2748.398254 2585.163134 1769.808447 1689.340205 1413.619587 1018.997137 1078.901966 1507.112281 2304.22848 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1139.737898 1279.439291 1355.719101 1934.233074 1657.422568 3155.199848 2141.631988 2630.405339 2345.893827 2494.770521 1681.919671 1871.398797 1616.44077 1263.921436 990.1720708 767.4448024 778.9041902 1529.686985 1807.302857 1782.412569 2447.885124 2930.626697 3010.679083 2811.504758 2663.70285 2959.034272 2016.368797 1781.682507 643.8996066 469.7259007 397.8707897 123.4924304 141.9442474 150.7497953 31.08206652 86.18465649 168.61127 119.6795462 139.4745723 99.5806271 173.9883002 290.2978186 350.2200218 480.3195867 637.2249172 860.6319584 1191.745604 1329.52681 1449.707407 1709.480279 1931.291291 2881.781874 2874.9457 3622.719684 3823.392197 3656.091511 3317.57024 3493.192697 3152.775768 2624.152295 2349.128245 2037.357868 1752.037592 1334.462679 1386.190016 1005.302954 1021.211819 676.8740142 637.8056425 426.2508228 238.5705889 215.5885183 194.4400331 303.9670533 51.46399095 109.1502571 80.33367904 188.9057385 62.62283621 221.9883612 62.98702102 81.4177915 134.5608295 196.6003831 206.2297903 221.3203134 140.9236865 68.64857273 126.5770742 81.31009 76.14719808 202.3829376 166.990078 247.1877568 151.0144697 244.816137 181.8306053 551.750805 387.0693385 639.554679 487.8870158 551.9504106 681.6767373 650.9987513 622.6275812 636.1293861 618.2293352 506.8648134 449.0357141 715.4974419 487.9005547 538.6302459 461.619126 377.8383689 181.0650698 328.1740445 231.39339 340.9677585 218.9879166 353.9795721 471.6203968 496.9778554 441.8728999 415.3390116 393.2750174 363.3786292 507.3102481 507.3828106 510.5266394 456.581576 525.7292823 765.192788 526.1926532 552.2891047 559.5003771 642.6417273 874.7776449 753.5524155 864.7878297 1003.239139 584.3722377 552.866378 558.5965044 693.3230007 1137.920885 984.4029286 943.0851032 873.0124401 779.2866245 684.6845499 928.3671935 964.3524041 1055.997911 850.2974364 978.8720949 745.8052726 854.2164534 758.4470819 749.106984 773.9232094 1024.231774 802.5264135 703.0367223 752.5811896 724.2166478 765.0001979 759.5820527 693.9542567 652.5968753 548.4730028 741.5166486 414.1807127 617.9384381 548.8104299 435.5366094 310.9567488 255.9838615 225.2966873 377.1015739 315.1416794 494.2178573 711.9689779 572.8206932 766.785743 909.003358 774.3925902 904.8692401 904.6264752 653.5118894 681.8448784 689.2161559 530.4327344 523.9193801 399.1365769 301.6049152 264.1476658 129.1456693 145.259567 130.3291262 127.3305575 184.3746051 283.0698051 173.4686907 198.0703064 144.6655055 197.8464079 155.3093335 178.7935643 159.5330944 98.26232077 156.1374605 207.6532179 122.7497115 105.9367034 161.1315867 217.7288526 222.075206 212.2734143 358.3790674 424.3585362 550.7400998 991.0955551 947.2617398 1519.064272 1664.49722 1571.023518 1591.564643 2021.487735 2669.873856 3413.020355 3383.807993 4101.647115 4307.874327 2637.016244 4565.432181 4489.723793 2994.539569 1803.095663 1496.923969 1392.33776 1165.236938 1266.102893 1053.772501 642.0312891 538.8456447 407.0657365 176.4580409 165.401571 136.2712052 113.7208868 128.0424386 69.36745591 131.2888682 165.7877547 63.40653801 152.3539821 398.7183407 535.6366692 1141.826881 1573.299632 2178.752633 3008.907575 4083.302331 4135.497452 3824.111454 3938.523521 2823.434238 1767.57421 1272.465969 953.54664 704.1565582 1745.580287 1263.842954 1359.194676 2028.031797 1860.610506 3072.790815 3148.134657 2825.248955 1805.233344 1727.580817 994.7773676 872.5276907 962.6347785 1419.81579 750.5146542 480.9326946 125.0302765 318.8410779 97.28683004 125.4680861 154.2787416 246.066175 166.9409969 203.7747125 246.7033125 479.3964719 353.210735 627.0523047 622.7362343 544.9790936 1000.059647 910.2375985 1016.545218 968.9021055 1149.861176 1206.599157 1320.288072 1305.024746 1631.011031 1211.146141 1634.155119 1211.561233 1275.448693 2406.102299 1252.304478 1534.696514 1933.254211 1869.899566 1682.867208 1443.777889 1336.444531 1509.255603 1616.014505 1400.9434 1702.255463 1224.451567 1434.670056 1279.731531 1698.351119 1760.681021 1807.5215 1595.157786 1313.498578 1460.197686 1455.919284 1353.612507 1578.540308 1556.607773 1323.907606 1431.907946 1053.580233 889.9726787 1248.066127 1172.517664 1188.380849 658.887451 886.1186264 515.7909014 788.4969405 359.6432206 257.6646028 260.7861363 240.2645035 266.1877573 179.9067886 119.8177239 94.23364471 218.5480203 409.174045 353.6029376 663.3712696 824.9448744 992.4427068 1184.871704 650.1494657 1283.928225 1767.144578 1813.127949 2350.257053 2848.5101 2634.168769 2313.7351 2251.837761 1451.909537 1665.169776 995.1855224 1309.549753 1154.087723 1405.3974 2487.773875 2620.84625 3800.573175 3199.22089 3589.61008 3542.758296 3241.124284 2120.127681 1593.489961 782.2201933 716.9417376 62.78074745 105.7930823 283.3981161 135.6493486 65.59157755 103.7177834 147.8156149 59.75631864 96.94069856 63.35476839 178.1511002 350.2889136 457.234259 736.4406686 836.4485591 1036.591656 1212.425439 1383.489052 1918.840405 2427.309789 3077.162476 3337.837764 3885.38551 4241.632842 3860.378155 3895.139789 3563.926171 3046.397636 2884.662018 2185.962294 1953.233771 1356.656912 1567.945986 1192.186724 1431.49386 839.7538597 578.233736 478.9285313 355.707446 146.9579489 83.60080193 78.94650855 140.7402289 28.90232724 142.9011662 53.12415413 194.739751 58.90182471 201.3829827 91.02956382 196.4751265 235.0821222 122.6830333 193.5915443 244.4891727 144.2031384 247.5333748 134.7584325 154.719218 182.8587166 171.2566172 192.9009491 401.7402726 773.4013144 432.9526416 491.5989023 519.6040076 916.2282099 580.8131935 680.6767876 766.2743846 710.2039391 536.5127426 738.78325 654.1531951 460.8061139 408.0011076 397.3444017 388.0192341 289.3769701 211.0380776 334.4263958 433.7530247 294.3074673 411.9493872 376.3539542 449.0901016 811.6691264 520.906181 745.8199617 836.5612398 536.9216598 1189.692257 654.418159 686.3457532 734.7108212 912.7175301 701.103136 848.3666722 602.4251625 1084.562102 880.2384838 912.4508942 742.9803041 639.8605262 1099.069703 954.3841956 833.6576449 846.927107 936.3256326 1052.780988 1024.049659 820.3506341 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2454.246739 3174.504359 3229.570556 3902.854067 4040.33801 4142.489706 3762.891393 4034.366952 3116.625483 2193.780991 1913.831975 1573.868193 1439.878916 964.938629 815.4771949 598.0101421 555.0205503 278.3434806 130.471565 199.8646272 186.2922343 89.49491303 140.7323467 94.38795386 125.6978593 214.8662325 110.589417 181.865294 948.2236064 1669.418291 2638.802081 3043.147441 3189.208351 3887.041382 4319.935564 3760.213144 3129.670707 2464.468823 1574.28481 1334.020494 1102.93805 1532.08006 1832.020795 1689.225504 1965.911742 2087.700028 2792.638265 3577.472724 2337.461925 2302.835412 2062.471552 1015.806828 807.4099481 452.5879834 193.0778176 387.1560954 188.2033621 121.9231355 30.42655333 186.830051 192.7606398 187.3496126 335.1517028 616.302317 609.7331517 585.1982671 965.5425094 794.589148 1371.839671 1616.918927 1457.380219 1990.040087 1409.652716 1949.451461 1350.83157 1449.363751 1478.53849 1819.045879 1682.79396 1571.903736 1414.737897 1414.355591 1550.439361 1459.229192 1600.338051 1622.760609 1366.190167 1165.576485 1470.551931 847.6068124 1348.216919 1964.855711 1274.392975 1211.285118 1400.156956 1390.859178 1290.481754 1241.399132 1217.929394 1307.693369 1009.131358 1487.536392 1454.828594 1580.568033 887.1093567 1334.219912 1495.737064 1294.533303 1391.685424 1617.517817 1796.149979 1736.038295 1579.130335 1613.485965 1196.468826 1731.081409 1712.804495 1568.946019 1937.382483 1814.39907 1114.389427 1432.86489 1054.282263 810.8076375 921.734253 710.1832238 598.703839 527.7967573 390.438274 290.49062 288.7061811 269.8465484 66.22769671 181.7199566 134.8637811 176.7114434 359.9085362 368.3385131 585.952657 776.8819094 1271.620376 1914.608898 2221.762788 3309.319519 2430.189443 3197.927773 3080.156627 2366.694525 2380.142781 1124.094647 1644.468051 1051.17905 1388.607954 1280.612996 2597.270382 2588.575866 3819.335926 3632.001348 3334.27296 3287.920974 2097.169121 1898.809563 1619.243005 683.4344723 282.7952162 249.2669883 94.52941634 119.2954896 176.3793919 169.2262973 112.8988733 132.3533216 215.4626243 100.8363621 227.2723991 526.6138197 575.5299954 903.1744798 1187.720505 1307.455196 1659.002183 1561.8143 2640.670168 3142.78607 3591.995849 4246.366168 4104.975677 5159.052239 4660.290209 4088.196543 3787.022331 2867.793871 1171.814668 1813.259677 1735.260964 1948.986725 1323.573807 972.1812992 440.1778321 430.5771968 481.1335731 305.2637415 145.199532 55.82825152 77.63657754 110.6008455 90.4874144 52.15957393 114.7390329 148.5694149 123.3577247 80.37969358 148.322742 298.8365806 185.3438841 105.9433983 151.4923016 241.5852834 212.9732725 232.918445 175.9228318 121.0863584 374.2129678 488.3776758 570.681674 532.8304664 675.4266785 760.4345348 926.1983116 517.53099 1027.155841 803.0902887 763.2761096 659.5425095 429.6253442 389.6201673 586.7522156 334.5312263 214.8652026 279.4455861 353.8702581 310.3186242 507.9315311 598.2189065 750.1857469 719.6946542 929.5972289 829.9103016 677.2023862 961.0896078 826.1905523 813.3042627 895.5380039 911.2750574 1091.12301 880.3244135 1196.245939 796.8300936 750.1442577 872.2783574 916.7299279 775.7269781 857.2490861 777.0572176 680.4346871 973.2724013 739.8672799 728.9425621 953.3164758 709.456251 765.9292444 713.2074526 711.9975132 681.5710305 789.9475028 763.9602266 404.6268246 442.2042771 453.8640527 477.1517732 488.4436192 613.0984363 492.1368662 591.3161886 672.6649064 628.9868903 652.9932671 676.2292902 730.3859949 649.1125065 765.7952663 639.7900214 688.6425534 887.254233 911.2889887 886.0518379 612.1508693 1022.809109 989.9512405 1099.886784 786.0040226 1077.731576 1037.55469 986.1645134 970.0473009 1340.155254 791.0708933 1012.207971 788.4675317 699.750433 932.1625829 706.7784273 490.0005554 391.7853307 704.6790771 374.0348177 512.2386166 419.9427988 480.0008452 632.9667799 865.8796648 862.0424072 951.4431162 832.0550692 1037.376519 661.274057 862.4937724 839.9343173 578.9888498 695.5431297 378.6226086 380.7095139 258.3426742 279.2891705 145.078089 251.4857486 197.3426044 243.0499223 129.6035238 114.6711613 222.5228058 140.540587 106.8989375 267.1403937 125.4305417 86.28594802 73.8356087 254.1095233 60.22897411 198.5239812 283.8133598 275.5679674 346.2256835 458.6976119 868.1400872 1408.168344 1715.009547 2067.051789 1677.239493 1919.595273 2979.000203 4108.419452 4178.459168 4497.503184 4760.634916 4574.796786 3907.869531 3728.241866 3577.468517 2469.873735 1598.920592 1494.684668 1563.141424 1041.017689 688.7904955 576.3587626 370.39401 192.464079 156.5223819 26.99994954 204.9528312 162.694969 167.7762302 126.8505463 100.893984 153.4761191 389.1432384 826.6317697 2099.305367 2747.410135 4099.726391 3701.457114 4362.440989 3991.22503 3183.364445 2918.167764 2053.855304 1954.225981 1546.260352 957.5945422 1790.985909 2921.266128 2375.068338 3572.715902 3565.030665 2746.713423 3274.249423 2225.276719 1931.247048 966.512401 806.6661004 502.3174845 270.1802512 195.1962427 152.9343099 136.6221166 289.1661422 272.1974078 402.5710374 469.9543105 597.1816919 977.6630603 781.1108396 1258.458589 1317.208723 1566.114481 1785.816629 1379.212229 1871.43894 1951.577504 2101.488927 2276.364073 1846.769864 1738.016894 1325.759004 1851.200093 1513.256266 1360.250569 1853.849566 1141.700672 1081.775083 1046.157361 988.3092607 1089.862997 1506.363739 699.9272199 764.2405207 936.5362084 2556.775825 1281.962995 1394.442212 1637.955624 1263.258652 1413.137201 2061.246748 1530.954729 1182.920726 855.4591225 861.3455209 1892.676555 1280.68264 734.2164363 408.1073143 1205.860312 686.7905186 807.5293855 1342.447558 715.6571542 1412.237426 732.1741846 1099.751199 1018.120169 1071.444482 1224.198326 1408.143693 1455.43498 1430.153625 1667.380155 1995.773147 1724.592808 2001.352699 1472.764055 2485.09236 1859.083907 1378.601455 1728.211441 1831.272553 1137.970078 1207.430475 1387.639201 929.7142836 638.2998817 536.4579124 303.4802483 476.6403589 272.2134669 193.8023904 215.6544014 215.3354938 377.08201 799.5226957 1184.030741 1241.404798 1404.446246 1672.623609 2891.313149 3615.437749 3685.389479 3485.366892 3731.079599 2260.355831 1268.887303 1602.343627 1199.952591 1336.86521 2207.743981 2584.299468 3287.558198 3753.832529 5523.40695 4190.938893 3020.562935 1787.916777 1547.539743 704.1566061 353.8884342 289.3521606 309.8009232 141.9099174 172.5419953 124.3510811 82.54286841 148.9462862 220.8447392 198.0152803 518.2758511 740.9080112 711.8313283 1151.707017 1447.698217 1381.153294 2153.727595 2534.148977 3340.267688 4033.623386 4424.402694 4913.125762 4540.601059 4424.735118 4167.157913 2701.980424 2058.032765 2587.653322 1892.983808 2013.884608 1658.122234 1410.026835 868.8056258 652.3824716 500.1712515 317.8548979 178.2850252 114.6886123 181.8918386 178.5230021 198.9059999 130.0861092 124.707053 138.0723549 331.3738394 176.1391712 198.0262387 180.4778189 188.6451717 167.3652343 209.6955381 85.51097334 286.7112241 178.6235131 222.2619447 371.8680856 444.2269749 752.9165716 540.1378688 601.7950382 880.2454236 608.3618528 758.781684 924.8599145 911.575859 661.0281858 820.6907018 607.4349243 374.1730605 316.6514528 389.2760789 265.7905056 344.8609103 617.8437016 597.6922627 782.748269 882.3431934 810.2754602 761.7118132 877.4159964 1226.025406 870.650308 1096.26194 1006.57285 1142.761534 1162.786012 1113.918176 966.4045205 896.0029096 1206.089731 989.4304643 735.0415026 929.6064563 686.4184448 813.5119921 627.8811835 700.7000177 731.0739589 602.3095626 583.438645 533.5364868 538.8007633 430.5709008 488.6073044 651.536722 756.9195269 454.6356621 478.0721179 655.3440481 637.0626041 483.6276526 379.3861962 274.4958393 399.2787354 402.445483 328.6495467 356.9209929 619.7919047 339.7941324 246.5965926 399.2941857 315.7160577 434.9617061 626.1889841 401.7741926 365.4353049 351.0061844 460.1116025 497.8162606 772.8359201 783.1366804 681.5388866 808.0848804 832.3019879 734.8435427 632.0576211 901.6581335 954.7690278 734.5643447 1152.321854 1177.891692 993.8210758 995.7750636 1288.604972 1057.812191 965.2680162 1079.549032 905.1271093 674.9139091 880.9732851 821.323955 527.0399734 536.0473376 251.6428426 436.1850459 321.5797401 372.6035772 616.7117083 1001.101604 917.8460417 692.9243366 960.9468526 738.2442076 687.8931746 845.5816865 734.5901344 600.6875794 362.4101731 259.7210942 199.141476 250.3765992 238.2374898 232.2167755 311.9658747 187.9512942 175.8055081 94.0615915 160.9165207 178.016941 173.7685496 166.8859896 35.49068408 126.8261209 112.308895 165.921391 170.3735956 279.7526658 424.9056218 628.3546071 938.0993545 979.5503656 1354.659977 2336.371619 2551.044973 2031.702047 2968.018469 3514.857017 3883.553139 4587.161044 4994.109494 4815.015663 4129.353543 4039.808704 2815.303525 2949.450219 1643.461087 1649.166083 1518.366198 991.4795411 847.6341197 523.0694965 252.9207024 225.3111383 175.3928111 225.3834896 92.93445808 119.5164544 164.7605307 174.4229353 261.0276858 613.2555387 1069.759124 2040.381352 2689.566611 3615.504532 4214.399174 4315.636221 4279.375382 3153.26721 2039.909395 1655.723288 1561.860225 1241.53029 1464.165108 2420.286176 2435.668464 3491.433533 2917.427789 3402.214686 2515.696882 1825.537753 1435.598837 841.8827116 444.6458138 326.9291994 280.3040798 156.650142 234.0146073 200.2184612 332.20579 436.9552736 659.7786528 989.1523008 851.054627 799.629709 1865.270166 1724.905125 2430.978292 1760.619125 1711.039554 1747.11778 2336.389464 1762.194823 1808.061978 1797.893479 1681.474913 1295.267291 1274.445162 1145.37848 808.5583532 1248.696997 1552.921187 699.3372156 1879.332304 1853.639428 1198.918982 2181.920538 3765.551476 4730.942178 2668.795746 4300.056077 4127.485539 4785.981081 6066.821902 3393.149631 4682.466195 5069.263061 3737.699787 7029.215665 5993.545345 3712.343557 6756.072032 3889.554714 6246.930126 5585.972407 7188.047229 5735.703544 2404.833172 5235.703422 3792.924615 2886.818854 4136.314162 3940.995573 4359.544194 4265.208715 1333.272584 2782.104916 1539.03857 1210.845786 984.7571228 1144.059339 949.7419102 1077.036602 1401.671643 1323.604784 1712.081155 1541.755464 1764.56117 1693.009648 1945.475637 2307.012908 2054.045749 1876.371764 2146.568854 1282.850633 1808.307587 1538.517274 1300.878424 749.7177903 636.897019 755.0854241 538.3102624 346.7583225 169.9033381 146.744397 199.9897397 228.7825576 491.9598899 712.2094626 859.8634924 2031.841838 1965.616089 2782.971045 3284.022039 2524.950548 3674.097138 3141.679151 1986.228798 1425.61547 1418.647472 1855.781879 1898.060805 2385.041521 4079.001338 4782.779775 4920.637826 4125.887719 4334.932325 3374.455602 1578.495475 1218.849511 509.256324 106.4170112 91.7539587 167.9936659 260.0909608 194.261471 78.52757127 184.3371822 249.5834035 396.8871438 472.7304689 730.1352011 1117.958038 1248.087686 1770.677987 2262.148941 1839.886175 3899.862472 4103.055252 5019.888494 5056.322306 5708.192495 5015.218228 4214.807281 3412.764532 2901.80243 2156.126449 1816.118036 2573.994387 1775.82815 1233.082746 911.6360845 445.0866569 446.3509433 243.9489088 129.4173597 168.7119509 85.43579539 127.2652562 118.053466 137.426454 123.4919729 158.5894688 310.9516246 233.0310558 159.1917576 184.0051769 200.7573583 193.3755497 290.2086499 224.3525029 303.1499129 208.5520375 501.0684167 906.154139 698.5950751 974.0678042 914.2033718 791.9975653 853.9963038 808.614736 852.9175969 886.0557926 848.9783182 324.4976749 355.5765696 287.9554006 355.6604291 585.8539918 529.0670149 1033.079481 881.7336546 748.9197233 837.1623845 896.0672282 1084.422978 988.8482341 1263.026869 1047.381296 1038.945391 1070.35751 976.0647106 1089.264382 889.8676065 1037.028906 840.9039106 750.1479685 775.9641191 579.5491823 637.2472063 679.7860409 641.0908682 522.6342799 567.4373899 504.0847103 510.8337725 433.8035765 486.8186529 444.5365222 413.0815656 463.9592239 416.9401829 250.502514 457.0117193 327.8467544 591.1829833 455.6276676 458.4254825 465.0643055 385.5843147 464.0669739 223.1963908 332.8080169 286.5396555 362.5806903 311.03893 316.6549148 253.7974004 319.7679961 406.4765303 228.706167 201.7334026 311.9452098 248.3599102 261.6590268 363.8046325 406.5950459 384.0417428 310.5337963 532.0972108 521.0821149 477.576474 605.5408605 637.5574568 593.1100654 721.5555814 827.6281168 876.2678715 994.346061 1022.304402 793.882517 1159.230402 1007.141552 1350.932179 1216.641112 1269.203584 1277.544919 1096.913279 1118.627012 979.0320935 885.9822153 755.237644 611.1856524 769.1252937 454.9236652 248.4601902 445.6292988 427.9873499 615.3329836 1090.549756 748.5639628 937.2466433 938.8383651 1181.788462 902.2263141 747.9705098 860.8908243 480.7709445 530.7462268 299.5410086 188.702203 319.8215839 319.1226494 202.1515303 292.5133015 135.7124839 268.5094485 238.7322221 174.7890549 202.562015 185.6339527 107.7279637 114.6070741 129.5674393 41.55553591 285.2741238 289.4669364 538.3926052 589.917946 1132.719065 1455.829648 1360.061352 2519.339128 1975.864296 2208.479047 3758.344791 4351.281578 5218.782304 5326.048495 5046.816188 5020.478581 4787.071179 4035.706513 2197.934067 1690.820729 1858.693751 1501.328968 931.196986 880.5063201 492.4349718 296.9289548 324.8408786 100.2016483 211.3468468 159.2804926 152.4567915 204.6069859 242.7957967 297.5209478 1485.473438 1808.218914 3435.892733 4356.677088 4461.096629 4743.554907 4401.133447 3545.972521 2342.364534 1899.987982 1058.727139 2004.704299 1901.499074 2032.59532 2996.368345 3471.857845 2342.993453 2052.678312 2483.072436 1818.198568 917.0259555 809.7008702 510.4487038 241.0921073 455.4032373 305.4260085 313.6907309 445.1972873 698.7276243 720.2272474 1075.452732 1634.755255 1808.603107 1759.025871 1717.837974 2073.80035 2124.445662 2066.103164 2031.572969 2085.893689 1689.937812 1357.70707 1324.710876 1280.522829 675.6676652 1034.159259 997.2918649 1034.759661 2299.756808 1883.965089 3763.961501 6669.112118 4217.663633 3529.084162 8328.653957 8115.946543 6861.412659 6264.31758 7581.822056 6921.744163 7683.457068 10551.07762 10558.6915 11410.22662 12116.74259 8486.562356 10351.31013 12531.23882 11595.81104 12262.37218 10092.8791 12193.62543 13085.78223 10319.16648 8471.32194 10732.19219 11286.56552 8571.273362 10549.85003 7642.889235 12210.35833 5925.600445 11319.89892 7525.169152 9080.539771 9356.861254 8334.723821 6940.285183 6872.074225 6653.177328 3882.406984 5055.5235 1835.852214 1581.687176 840.0116958 959.0584834 636.3652928 1166.856704 881.7960419 1350.966759 1289.450884 2241.341866 1632.373942 1928.119591 2384.41904 2255.552769 2491.849421 2633.958401 1702.675289 1379.180634 1324.292994 1272.569676 700.0330442 629.6872039 311.3695 329.432631 211.8154027 375.2895597 93.96214942 411.6810675 550.1793745 1433.321707 1374.769573 3297.817524 2115.443071 3187.096457 2541.62083 3566.040101 2349.413665 2251.879484 1644.780481 1238.22806 1971.797384 2739.071657 3411.4597 4919.693709 5298.531696 5161.775231 4051.128846 3281.141737 2146.934704 1102.754896 476.8068815 115.9551499 108.0001538 144.5120089 110.476624 167.7786173 206.0792117 151.4027971 298.011007 476.2229774 705.1751395 1051.948299 1803.997743 1643.749529 1757.692673 2419.295159 3466.190846 4519.493079 5059.528383 5296.1985 4754.544344 5312.249408 4260.825973 3592.261984 2820.96613 2649.727176 2521.540414 2005.744255 1148.402986 1231.878181 505.105636 642.2040945 338.6153376 336.3159682 106.8201251 129.6395724 72.07817951 26.12384025 197.6775655 154.0558859 67.27949467 160.6361557 330.5268268 342.6124437 235.5336587 317.0797424 197.0984893 188.4365937 190.4416315 271.281563 489.1340072 492.9885909 909.9966674 590.0700892 1113.955743 926.1396085 898.4142647 1308.954889 767.8692412 968.8767021 580.2947862 359.968937 284.5081153 297.4042044 508.3426549 836.733601 753.3985835 848.6548592 853.633531 864.6895057 1109.920124 1103.863221 1031.862663 1270.811634 1100.941426 1039.025135 1211.691008 1139.173251 1075.943451 1007.687143 832.5617385 712.6970197 743.4865673 658.6470585 572.2690727 586.364822 600.3976734 488.773204 373.1912736 387.033633 373.860521 376.1451542 262.0091119 492.4310057 289.3472638 486.7300907 297.4408986 338.1684821 303.3201364 504.9947328 252.1793641 383.5550574 294.157558 286.6781034 247.6544638 314.4716549 302.2466423 313.7334531 333.6028301 789.7749573 630.6219224 694.4479734 752.9223293 538.3091081 618.4208896 449.2350386 522.624929 439.1434588 260.1660528 379.287816 472.217593 400.2884763 310.6568043 193.0564868 383.3538481 193.8842272 249.5215979 285.734606 257.8505845 461.6112515 498.9157707 376.0707177 302.7028199 367.3370259 497.9880893 430.9304903 524.9023006 608.6132048 668.0562666 738.4510335 802.2176847 1031.372471 1028.231953 1095.150146 947.1717149 1388.128722 1090.849527 1223.439513 855.0351798 842.6666175 1257.390473 789.9079189 979.2285114 873.1748623 581.4336915 387.0030333 370.1245748 291.456357 299.5328773 652.3482036 678.1076907 922.5365143 945.5113564 994.6268096 1077.997635 685.8713862 983.6185076 816.1870699 576.1331216 461.7143087 274.0812459 306.7453305 137.4300547 259.2680325 239.4576682 264.0509938 123.5613865 76.31122088 116.7377714 197.7481529 139.0817597 189.7039212 191.028749 237.2373966 115.0324685 317.3448185 588.5854047 530.2456672 891.4652659 1063.801433 2270.923698 2224.420613 2193.161804 2358.44416 3593.899172 4508.202006 5333.627445 4925.419034 5621.545768 4636.504519 5166.024383 3499.950596 3509.315107 2088.223855 1516.113495 1343.521489 850.2473574 634.6020504 359.9365326 320.0838235 197.7730366 222.5073402 197.8192484 170.3214567 21.22911616 263.0827636 263.3383107 1333.774303 1691.272536 3707.143936 4757.81316 4777.731031 4505.930629 5038.294223 3256.761504 2150.645454 1766.033059 1118.672973 2014.170798 2634.642958 3166.213415 4558.441558 4549.691501 3550.304128 1843.286099 2000.21474 1469.649718 723.4467753 358.9744517 375.4638735 127.4508227 289.6755451 470.7758999 544.1813516 832.8190946 1210.631304 1562.962597 1550.468432 1925.807537 2469.526747 2180.829973 2225.171665 2610.652672 1856.505098 1655.660814 1564.410968 1766.281311 1023.274205 940.0103723 1120.644702 3779.128286 1375.693589 2936.915401 4953.437387 2662.894087 7889.8899 7080.562434 8268.044814 12175.93915 9320.909097 9375.497459 10190.50057 10061.33539 11421.17396 13269.4794 12580.67958 13025.1345 14093.31611 14722.34447 14484.50266 13160.16779 15492.80622 13570.45538 21067.51315 15067.33218 14532.11376 16855.44192 17472.40787 15787.42663 22320.32189 17168.33526 21237.21736 20545.31916 18106.15566 13218.65593 16581.20358 12036.77548 13619.92346 13658.17843 16967.49828 14102.89403 17516.96195 14921.82921 14449.84743 12023.45608 12482.80532 10224.35159 7530.539868 10610.50882 11604.34809 9925.431056 6966.551246 6019.964913 4239.309141 5721.538957 3497.760708 3309.374103 746.0398901 912.5265758 947.5411686 1378.739868 1510.955284 1733.25665 2109.307239 2412.827993 3250.99561 2582.179926 2515.10049 1909.728529 2036.997616 1565.831922 1604.226296 1410.364593 714.1876091 575.1579575 214.2464234 198.5122301 208.9149377 270.5366754 403.8181688 583.5328614 1080.381962 1583.18079 2071.792115 3131.180282 2887.088227 2749.391319 2808.680848 2521.026217 1661.476076 1636.129848 1142.939278 1891.168915 3460.589516 4341.598323 5799.902919 5282.996464 3768.747457 2440.698565 1922.436333 1124.051572 530.8270751 411.752024 118.763164 224.9598622 165.1659651 113.2461607 110.4906387 274.1531916 393.1290257 652.2696714 953.6554522 1238.722241 1898.456406 1831.94871 2821.523637 3605.971529 4852.123929 5702.908093 5924.139263 5352.707173 5636.712796 3885.8337 3251.21243 3353.512934 2528.064086 2856.260931 2276.022261 1253.225413 1179.888295 530.4708481 491.2143116 359.3103319 168.5587444 100.9436611 209.360682 124.9002259 150.327382 140.6663866 181.6174913 159.9804349 219.2353071 207.1870705 428.5600272 229.698654 196.1457742 251.907301 267.332306 303.6979256 492.1721716 722.4100061 920.0879475 903.4554862 887.4109023 1005.933083 1006.819213 1058.06999 799.4583988 638.3843539 320.7237863 319.8465662 494.2320014 636.2498176 591.0120271 945.6099158 940.0193809 1210.805022 919.208803 1118.235197 1189.12068 1117.442881 1168.25488 1188.956823 1273.793861 1497.999675 866.7206294 1013.26986 826.5367076 834.1184082 621.4481204 639.2571664 483.8615151 460.3834542 467.4282411 438.2665459 334.3337663 392.3110793 439.8575795 325.8488068 462.5098082 429.2490786 515.3229477 228.1338553 326.9446181 311.1201665 333.3669154 248.7057658 416.5424249 443.5065727 358.623562 650.6414562 460.9887708 695.4469593 521.2725891 631.8024305 781.5913422 826.8920384 786.9970225 799.3539207 1182.304472 2027.466071 1428.603259 1694.350284 1431.165278 1587.020901 1228.294329 1583.286814 1919.63282 1109.245145 1402.4581 963.8080583 866.6661974 790.6568027 1140.932638 1110.047444 365.2768098 600.2776862 566.6183704 380.4135785 475.6861343 268.6248924 441.4401977 334.0783856 303.2968205 600.4837535 376.9006805 407.1618964 404.4081751 659.5433701 436.8718705 799.3382315 531.1739318 830.7298349 800.4551353 724.0748302 807.7526347 1110.633883 1322.436041 1365.507072 1634.207817 1282.260566 1125.385546 1588.926166 1022.698304 1045.656573 1039.8782 739.0745178 403.6039345 534.0585415 454.127922 460.7501079 650.3172336 1017.178315 1229.724547 1238.820486 1247.803767 1059.291185 1179.317638 681.5069638 503.59996 386.410881 327.0880739 152.8026287 279.0860155 199.2546197 171.8717979 307.5960475 311.3727585 224.3141027 184.2916204 137.4360053 42.35192328 244.3821463 74.31641054 169.3035523 213.6920661 375.337342 407.1596615 692.9937153 820.118098 1665.258243 2161.639432 2386.122574 2647.005342 3791.442445 4535.198338 5518.044892 5527.078515 6088.347062 5773.242156 4481.2822 3610.581693 2510.205674 1850.345908 1577.526686 1417.390875 756.5674515 488.7152407 459.7448051 262.3760419 228.1022907 162.0256647 190.008638 221.5128731 211.8522238 221.3038117 606.7741634 2402.318533 3677.3491 4073.884677 5462.296571 6496.057615 4573.027572 3353.825955 1824.823808 2001.058673 1141.315808 2342.649308 2258.101223 3719.777134 4036.682958 3802.273998 3467.256923 2142.724961 1055.298357 607.0975674 65.16957278 83.04417048 238.6100636 222.6509744 295.098127 594.4030282 913.3883705 1018.824241 1246.478627 2115.906657 2480.165303 3113.529911 2220.642527 2396.251032 1699.871033 1628.094674 2276.204218 1839.170814 882.9545761 2267.200216 1165.40027 1829.821904 2908.023662 3301.765292 7564.084286 8700.404312 10779.73 10072.55852 12571.75832 18450.97477 12570.45724 11313.1771 14400.99814 17912.93963 15502.42023 20320.9741 15497.64839 14829.63771 18312.55002 18782.36849 17369.56972 17096.38172 20571.39967 18082.57601 15040.38545 20794.70739 18058.00734 19505.92148 13838.13501 16144.37734 15831.24844 17258.92484 17339.50562 20188.55079 13616.56149 13652.06192 20681.81894 14782.82192 14911.125 13127.92982 17046.41793 14669.18388 17841.43712 18371.19971 19757.05383 16968.17531 17728.7138 19676.86918 14022.57181 17778.14805 13806.83408 17167.29893 14635.69486 14345.64249 14172.08998 14026.59147 11811.84627 11967.14598 5711.427215 10504.46986 7714.472271 6268.694942 6042.70468 3231.257028 1769.754903 645.4707593 1110.638467 1128.266714 1507.620352 1912.161299 2216.411123 2138.068645 2917.169116 1780.852161 2608.211787 2759.794829 1810.883366 1461.253211 1143.769268 656.2648811 534.398848 420.3035241 231.3138145 133.7631287 232.8557149 469.5112162 657.2714021 1151.839131 2350.902463 2815.74567 3847.167521 4903.837188 3842.437442 3602.075805 2797.126341 1474.646491 1258.029318 2504.024472 3983.010724 5214.033295 5027.759506 6138.472159 4006.019404 4123.433983 1908.27489 813.6954026 333.4049604 206.7270645 127.2624341 161.5614243 277.6221527 176.1883322 293.0863849 256.3085174 589.3941321 734.2645119 1396.134914 2233.652863 2238.238009 2632.945304 3236.015868 5058.991172 5231.889635 5385.982067 5113.298139 5583.499259 4000.34663 3272.140766 3025.860614 2768.610205 2125.763078 3138.292041 1198.31685 661.5976384 460.4518198 284.1028536 264.1810006 132.4971792 241.1430938 141.0202539 379.5134395 225.9973644 132.266062 126.2828536 208.2892713 217.4547924 238.6413179 324.5854238 364.1038903 377.9584693 237.8546237 464.6439615 665.3205926 727.2468246 860.1334168 1114.744354 1097.236753 1087.751102 1098.420867 1088.975336 736.8169418 486.79083 301.0038659 533.5897225 467.3545495 649.0569521 858.1700876 939.6016937 1156.355799 1664.900725 1274.666927 1259.692502 1181.46447 1265.383265 1119.212075 1269.717737 1221.51953 702.1213611 779.3856102 619.9000061 684.3643663 497.144288 485.0637803 442.3715882 450.6666134 452.8522826 463.103744 336.1085857 343.3506585 392.6188936 286.3467793 347.9265673 634.2128385 439.845799 484.1146845 791.9209237 869.7400343 702.3620157 1037.619851 935.5640381 987.2425964 1383.969299 1061.413529 1144.797837 1496.504613 1227.529377 1333.445117 1753.364641 1669.212798 1465.962325 1659.50362 1652.355456 2125.566928 1637.613551 1852.812474 2208.584428 2006.452368 2294.241567 1842.939827 1801.362828 2483.212794 1875.969772 1757.407444 2250.569978 2328.419712 2287.173207 2016.593793 1629.535193 1629.306096 1931.205234 1572.62755 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321.0727029 236.9460999 179.9220461 199.0932512 317.7393726 1388.199658 2973.58843 3538.363398 4495.469376 6289.31905 4935.300927 4270.001384 1686.59318 1995.037746 1492.434305 2671.451911 4657.002616 3794.350827 5007.409671 4286.927364 3049.147477 1524.380816 1357.597529 697.1298459 321.1331147 307.7260548 311.834425 505.5407533 675.0234073 1024.742745 1290.431107 2229.603341 2040.040657 2218.896292 2352.264348 2509.655077 2357.070835 2519.98485 2001.556605 1582.243737 1142.413655 1422.298947 2380.4578 2647.868409 2690.153736 10958.4691 6096.536586 10569.17487 7704.369023 12844.12406 16313.92754 16075.33166 15048.19824 18757.98326 17634.0447 18101.06669 15507.573 18438.4576 17744.1387 18532.20656 20874.85682 16664.94686 16336.68155 15319.68085 16490.03956 14474.48177 15186.15519 10833.88965 12899.70768 18511.58661 12592.57916 11836.78025 13256.73479 13382.8735 10936.03822 12781.3179 12873.69808 13126.54474 9844.721086 13588.11176 12253.14883 11777.87152 14284.7026 13415.18004 12348.39481 10970.25698 12652.34732 14467.69264 12860.95778 13428.92656 12725.28743 17585.70187 16005.58882 18420.5107 18841.45776 19291.7922 18412.40881 18692.2754 18017.04481 18297.79758 17572.90931 12840.2273 17333.56365 15559.57214 16628.96059 11841.39069 11830.02267 13059.93953 10364.52639 8673.718397 5239.77608 2439.866748 3790.495834 2686.196139 1230.017585 1798.760372 1968.587302 1632.26889 2772.315863 2156.269889 2437.76034 2966.008587 2107.293633 2120.175108 1681.863881 1428.010788 1253.035666 783.4977327 517.2567066 286.8915654 162.2064393 296.5638022 1007.826338 1442.374068 2184.049768 2929.898252 3741.498719 5144.499503 4039.255078 4344.555119 2848.446875 2432.168723 1132.445895 2091.217256 4667.256398 4222.5516 6495.420272 5571.967014 3786.976139 2496.569494 1274.065239 454.9520934 400.5610699 104.6272569 98.24627391 184.1642099 114.5132745 203.3936368 448.5895969 472.5377265 742.0567956 1296.950157 1948.458026 2187.073674 2376.170155 4004.618707 4477.271169 6303.396869 7368.120599 6094.283678 5936.299669 6068.789928 3358.074797 2729.53576 1882.039653 2683.541258 1632.889476 1132.267416 573.3508046 403.3525682 476.8646371 105.0488175 212.1109538 225.8445865 164.0603268 161.6763939 103.3580466 337.6594209 180.3915977 266.634503 435.4864923 300.1162738 171.138501 281.9147527 201.0497005 462.5961851 857.4414471 925.8145226 1000.290205 1329.225611 1122.158667 1151.098132 866.7045573 857.6264296 545.0510362 370.662688 445.3105022 582.6670842 623.7110822 682.1822908 975.0200607 1250.157191 1092.364872 1500.211206 1359.347629 1534.217141 1197.663448 1516.354138 1160.263908 914.4018651 843.0198338 586.9981646 643.6855552 643.5934407 445.517646 634.1640584 489.9332138 515.7628116 343.4508492 410.9866165 301.7501674 408.8079031 463.0443942 453.625618 494.3977067 751.9544346 1217.969046 1162.426778 962.8897357 1686.864982 1358.69587 1758.290404 1485.067172 1499.195577 2027.793073 1915.594636 1941.962019 2012.805638 2148.009493 2208.77403 2344.127351 2203.808535 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1444.085395 1756.654076 1820.884842 1955.818702 1953.226717 748.8069513 491.4674524 506.1616011 462.5361824 450.8462301 498.1510103 363.1712827 277.2201525 253.1449621 468.3275053 896.8548751 1425.922187 2835.256285 5121.164795 5316.404989 8435.866686 10273.98019 11901.40571 10585.38752 6851.435891 4906.974906 3630.814482 2519.958653 954.2135492 568.1970009 465.3627643 245.8504159 313.5567145 423.2274822 2617.948629 7923.81965 9590.27311 9918.185549 6086.966292 2418.813091 4383.089689 8238.497967 7393.955548 5723.818029 3096.986701 892.6252181 412.611087 630.2483872 948.2642697 3291.530999 4390.901618 5637.84197 5187.719971 3525.985135 1833.329558 1558.089683 4881.032963 17492.50565 24675.56766 35618.01081 41745.80204 34757.22164 32830.14022 30879.49328 18181.35191 13664.95805 8597.081929 5135.607184 3792.577983 3066.439059 2052.288837 1774.873847 1847.344812 2449.486972 2445.824234 2370.007285 2170.737753 2351.672096 1809.36008 1808.097883 1410.740702 993.9288617 532.8464789 664.605368 770.6754941 607.2114383 855.7913759 861.9489155 646.0043112 743.7725945 586.6429585 707.6986721 648.6407462 490.0338135 588.0845655 511.1756172 526.5142512 570.2391109 499.8388491 445.8064527 365.0861111 241.1416882 482.9723165 280.0690694 263.9097945 251.8931815 350.1306511 280.6840269 375.5739611 231.0416291 342.4393402 239.8101769 296.6278239 292.7654572 272.1110638 181.102576 315.4355445 400.4947464 312.0505033 268.8744573 248.731485 549.6946507 250.135358 391.8907557 310.8160076 342.6576668 301.8621749 501.6886957 392.2182465 465.2431517 619.037208 453.7112429 385.4280512 598.3214701 638.752752 785.136426 586.4346301 913.3233324 744.9560288 769.5905305 710.7655503 593.4446265 642.4495691 884.3367499 908.3381394 1485.809293 1702.423531 2338.521148 2479.696987 2474.022122 2571.142169 1986.175126 1506.311448 1463.673499 2313.724663 2217.381649 2940.265959 3722.671762 6469.224621 8629.943042 12453.01961 22017.07864 26126.3622 29397.5778 36317.8891 34393.96821 28057.85053 25815.1465 15128.19241 9843.887863 1188.856332 2195.600521 3343.107475 4965.483579 4250.219693 3955.96573 2523.422362 1401.85177 572.5281938 388.5367935 872.7069284 2601.308943 6291.841424 7284.436095 7739.775682 4947.461534 2046.978111 5200.802883 9730.584351 11256.60808 6832.276853 3133.329065 474.3105168 458.9922949 212.1244946 369.3674554 391.148826 830.4752136 1766.720476 3075.849088 4453.391659 6812.687928 10877.56064 10307.36342 10568.39393 8531.923601 5730.827695 5145.664811 3426.254405 1968.997029 805.6076814 617.0334207 130.0930611 351.386396 312.7714212 541.0020846 439.9419826 605.2457333 418.1323932 546.4653328 661.6075654 1397.017948 2019.550134 2429.962875 1849.159245 1679.356322 833.8905747 1008.297785 1489.916402 1969.614635 2445.396497 2055.799831 2153.257533 1870.663705 1473.037267 1355.577201 971.3222004 522.289141 649.9927295 715.8741481 1216.046526 2708.948187 3520.841228 3558.993841 3548.02212 3893.122035 2850.271662 2658.394893 1716.531637 902.7431512 842.2845802 799.0289604 883.7153852 1030.454784 971.3777345 1105.82023 1205.494974 1293.3445 1528.140941 1841.342658 1986.377998 1651.654804 2003.024625 1656.994785 2052.289986 2148.912424 2401.759028 2314.408655 3165.847803 3372.906469 4464.592307 4615.39005 5112.059183 6371.401875 7495.621805 6284.501866 5948.494716 6647.6461 6130.069134 5220.723346 5927.712403 6042.197276 5919.636832 6444.752865 5812.653612 5319.9878 5852.859555 4955.765086 5248.284449 5824.349349 4624.345205 4197.240557 5182.7221 4485.288262 3590.84194 4994.505132 4552.971137 4493.433247 3924.073578 4441.802658 5135.048123 4932.064307 5081.974612 7073.728017 6025.93114 4831.48437 4770.086069 7122.54301 6965.251127 6096.501115 6312.616768 7037.378504 7196.499752 4512.824734 6701.571995 6142.247876 5912.795149 5515.232981 3428.427774 4918.762036 3618.702487 2885.840328 2445.424813 2077.332066 1759.023544 1607.610047 1565.746545 1489.042207 1709.941388 1631.922031 1465.239793 1253.385081 1382.342875 1037.05645 1027.018976 962.0572641 751.7009736 1072.842079 1710.789773 2296.149255 3230.455344 3927.50971 4148.057551 4062.752526 3067.789446 2544.187821 839.2256216 667.8638923 807.2187808 599.0127247 723.0570254 1114.116214 1809.811382 2028.798253 2632.816111 2366.576501 2184.237815 2235.05722 1258.763949 749.8523555 939.676898 1853.763879 2895.657103 2185.691213 2044.881598 722.3828892 637.0486946 409.5529084 458.2208543 485.1240209 382.8625199 523.5288613 375.9832185 271.7016305 385.1812279 848.4952617 1305.691233 2787.341781 4537.662177 5538.401306 9398.418651 11363.15566 11465.2182 11899.02992 7058.525521 4683.583799 2937.677681 1941.636368 715.2363719 529.7991214 263.0145726 271.0988312 149.3082944 925.4859497 3674.247748 7864.113772 12286.14987 10427.83153 3714.334161 2287.313126 4508.646141 8563.460717 6990.850431 5134.585871 1508.461323 506.6515232 476.8030961 919.2258499 2474.442161 4184.959614 5177.466259 6835.435777 3827.612159 2501.031162 2129.774558 6101.315124 16217.37847 25336.00449 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817.1991839 736.4219484 678.684282 647.8000742 1036.12078 1492.42997 1975.887441 2050.587603 2169.427589 2454.169534 2360.332348 1890.917216 2158.998733 2069.647703 2044.029809 3113.177626 4014.395096 5186.941239 6538.016962 13336.31941 21584.55651 29087.05261 39801.58556 34784.41737 36875.68013 30250.78829 28356.29957 19019.28503 3690.426371 1877.628475 2955.894002 4462.506901 5161.246556 5118.921488 3907.556196 2039.747547 821.3596136 284.7298962 413.355137 1602.320419 5635.698046 8680.576186 9239.502866 6223.221944 2553.713232 4689.160663 9059.288846 10978.7736 8322.616688 3667.447525 785.162881 470.0011977 342.5658189 201.0327366 445.0585842 893.0625339 1723.969548 3357.251259 4646.944021 7160.334834 11185.52211 11836.33085 10503.54607 8279.366817 4889.165608 4823.657766 2909.262625 1718.122918 726.4023021 506.6236812 377.4821505 208.3488392 313.615788 372.0386758 336.9510088 472.053184 425.4707688 416.6755452 1192.203504 1783.779786 2057.913352 2553.499044 2264.767113 1189.026027 587.9599124 1117.112934 1901.290209 2637.810158 2696.333365 2511.608884 1917.472925 1530.909324 1436.380418 707.7446803 629.9201254 622.4231983 410.2835865 1020.501161 2340.032203 2774.783787 3887.518318 3720.871398 3021.259854 3176.014872 2794.930374 1576.156742 1362.148244 640.4655324 1016.022878 1236.634946 1060.988388 1389.612412 1118.592038 1110.481096 1323.218555 1427.284065 1879.418156 1944.773271 1932.056204 1766.954931 1637.642409 2000.016201 2699.576907 3410.209574 3159.532687 4243.695754 5102.214738 5566.350183 4737.159717 5983.110002 5842.613605 5365.360298 6640.938412 6004.021043 6984.748163 5774.772219 7087.350922 5932.400862 6142.898625 4976.862131 4451.031285 4651.749717 4956.077949 5494.92513 4383.674672 4324.733625 4720.469017 3733.796743 3397.365137 3898.559667 3754.808924 2147.856704 2949.132778 2281.856665 2486.337897 3604.160446 2341.833284 3322.574712 2862.642575 3228.270676 4064.009912 3544.60921 3899.028517 3516.584004 4458.841733 5724.800876 5497.613909 4921.862555 5892.964287 6326.967862 6802.772152 5945.739616 5844.290247 7532.996634 5836.521331 5843.490177 4927.663489 4440.055773 4114.785564 4245.325996 3072.739183 2457.62359 2338.418872 2310.861576 1958.083334 1819.160965 1909.81159 1784.105564 1820.350156 1422.845439 1340.758637 1146.997219 1485.184614 1115.838674 977.6231247 746.4687454 981.3511319 1422.200942 2762.684884 2752.582906 3948.967399 3613.405995 4047.045127 3404.966872 2424.380349 982.5575295 676.5845303 612.9785125 601.7906782 1085.269153 1449.382783 1911.157351 2272.802912 2682.900896 2290.563007 2312.074533 1574.449018 1021.902707 630.7564746 1762.654113 2216.523645 2174.254006 1955.543785 1500.472205 491.0707673 446.8349076 309.6877814 550.1393356 604.8596246 418.0421284 402.5914376 330.5107071 453.4360889 851.9136137 1167.694495 2909.246333 4486.65423 5565.350447 8691.936617 11771.95934 11423.51972 10896.22146 8582.396233 4173.183286 3197.328581 1763.433057 1021.842002 343.7370976 339.1311587 275.7809464 340.3322679 1256.73267 4857.656064 11319.66792 11908.5802 7873.277512 3134.718349 3294.860251 8681.839943 8171.945418 7677.105384 3614.999228 602.780154 354.9785258 719.2206226 1476.205355 2976.578669 4555.423265 4959.105685 4966.645998 3389.63252 2975.734748 3708.30969 11149.46862 24403.79109 34312.03158 38932.01848 43481.88893 35287.61245 35192.09503 20628.64182 18136.93752 8525.898345 6277.846594 3775.039825 3058.395167 2373.329716 1963.37316 2224.908561 2551.653775 2433.804778 2567.879735 2553.531928 2020.931287 1594.444854 1129.650756 737.1665099 862.3911035 819.3141084 1003.687464 905.9048211 820.545823 797.6592819 857.9173884 677.4939133 543.0557037 492.9955463 422.466559 547.820187 368.8450824 401.816824 394.0173072 309.1040823 452.6574814 244.3504893 365.2541992 102.47944 308.5617736 497.9366648 387.8045453 340.2070044 319.5196931 246.8934976 284.5211187 388.6675365 434.9073879 262.1438905 531.4217238 331.6366006 145.7097062 244.7974963 219.1841275 288.8691536 313.7489158 291.2998212 326.1444813 428.4313196 475.8641373 237.8282137 230.4700711 503.7783017 329.7392506 342.8689205 358.4322954 342.1760234 249.8785335 373.8157493 249.9291232 327.091102 174.8752498 152.8818553 426.8194558 437.2236969 498.2735561 606.4695346 600.0488688 511.8891789 644.2793138 805.3331253 730.5711188 817.010473 853.6393904 770.2806692 826.3670765 656.7537662 859.6262808 1361.300918 1890.589341 2422.402668 2404.132777 2124.053082 2345.236666 2209.140742 2163.989868 2173.300792 1952.681935 2972.895784 4590.739687 4349.163232 7697.43241 15526.63916 20563.76393 28206.72179 38851.23246 42351.85299 38268.76924 34221.36557 24753.55002 15683.50179 3843.232321 1683.003802 3528.116866 4936.901425 6075.730716 5115.828675 3119.831438 1129.512942 470.5209073 374.7104959 975.0143216 3465.243755 7508.271968 9009.926502 5317.341401 3334.186367 3299.972161 8117.172344 11210.70055 12452.25024 5962.316504 1246.416611 482.0492519 444.2681456 289.6988661 547.2143422 1019.141725 1827.291913 3348.607727 4167.551452 7479.775445 10149.60096 13130.95232 10717.92169 7636.965956 4985.040165 4235.029344 2818.728465 1136.26538 815.7070963 439.3815439 389.7606244 389.4759575 274.8279288 544.7139857 370.7941616 500.7460533 602.5173014 653.2229281 1526.908161 2144.569762 1759.299252 2196.105405 1654.095163 774.3654605 1224.963331 1903.778376 2098.963361 2688.75154 2512.960886 2471.086148 1790.709966 1635.139327 1158.721739 690.7305371 727.1946229 783.5254743 1076.325998 1904.888841 3305.198879 3826.29693 4631.155718 3828.569253 3251.880879 2740.831921 1462.981617 1119.905202 844.7622502 909.7014803 1077.749434 1116.786478 1378.543078 1322.961391 1596.706858 1353.678686 1774.017651 1451.697403 2327.431664 2163.284761 1966.164218 1660.440505 2778.338216 2454.729452 4098.166538 3374.84257 5545.234446 4827.30061 6473.397144 6099.291944 7766.04004 7112.675925 6684.632378 7901.130356 7333.259221 6173.262427 5819.062091 6390.091978 5529.258704 4296.095668 5190.091012 4044.703652 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1678.859806 854.267336 656.2062617 525.1019113 673.6818365 418.0929808 344.6920208 536.4831066 333.0387416 457.4528141 747.08197 1227.083705 2475.641645 5368.911947 4977.974249 8052.023756 10044.18847 12714.39323 12100.21366 8386.814869 4328.84857 3378.023518 2097.571164 843.9006366 632.5752317 371.3208569 295.1732374 376.4997701 1903.967191 6700.756178 10432.34629 11361.77979 6049.356201 2664.926055 4741.559971 8309.789478 9987.20131 5059.990754 2042.014869 353.9548712 379.275171 656.0871557 1915.846092 3827.470386 6449.504969 6040.008617 3855.609766 2123.391962 2789.867034 9655.026178 23459.79539 33089.26519 43929.93314 40017.72806 40529.3306 30800.2242 22657.84471 12512.26854 8533.469088 5036.238406 3563.096004 2604.549999 2310.23596 2447.768352 2149.776335 2574.71878 2827.436241 2193.71723 2332.777715 2236.623895 1127.657721 1243.333241 821.2069329 549.6939271 1009.941077 977.7766424 918.5794192 713.0190068 791.0693929 707.2215979 489.3686667 456.0833302 533.9748066 464.2485479 392.0617769 301.0417802 340.6471258 339.3071609 271.3303144 363.5205044 316.7351334 332.3080155 359.1024782 230.643908 419.3786399 482.0500618 428.5435211 226.8162457 446.2546817 366.9019772 211.3548906 344.3207732 415.1138292 182.9828412 490.7191778 314.2143094 293.9834699 485.9761595 313.3512608 185.006974 310.8081192 450.6082652 250.2320642 411.4187673 252.2762201 398.5180609 366.3596747 387.3574524 461.6105127 346.3002766 337.5255307 180.3391431 354.0003627 405.5652573 307.7777564 363.1827054 190.7868419 398.2589422 551.2909612 264.2776453 447.4823424 351.2164771 307.6769237 589.1352012 544.7840835 531.4676549 743.1440798 742.4961867 705.3793657 1048.220496 927.0480815 988.8157948 802.238543 711.407146 867.0549256 1440.645914 1872.027005 2160.410055 2848.468145 2354.313426 2368.067397 2011.582004 2007.593304 2320.537252 3469.270234 3406.166335 4924.804728 8259.097154 17384.2044 24141.10722 34009.33805 36221.8905 50266.7398 33893.15297 32074.80886 19749.95511 10341.72931 2260.698784 2444.020373 3876.175976 6175.992022 5268.478873 3956.264581 2112.03976 825.803005 394.6475458 441.2176136 2068.0649 5845.134699 7499.818575 9221.835449 4340.922184 2724.618635 7579.35033 12162.41594 12139.94761 5656.853608 2422.903877 393.0238742 338.8112619 298.4669979 489.4601511 914.5742018 2054.301006 3502.917414 4633.223246 7724.477568 12551.13637 11334.9835 9326.540532 7327.19375 6003.850579 5521.497922 3096.290187 1218.145155 751.141762 317.3823547 579.523346 483.5195132 411.6401864 463.5478745 556.0288228 532.6019989 501.6548434 716.6222417 1871.825684 1931.555595 2232.051051 2437.346689 1342.503198 624.6347199 1206.806946 1742.390978 2551.968912 2248.977645 2451.496147 2290.634041 1683.369948 1268.127125 724.4149484 721.2140914 750.6454235 985.0615168 1984.229167 3495.56314 2999.011653 3905.898191 3924.268862 3856.565698 2918.138683 1529.891961 808.521999 773.4144083 1095.531243 1315.473962 1213.783397 1243.231163 1393.096308 1325.689467 1663.783025 1619.379792 1726.190404 2166.993757 1739.84861 2167.63244 2453.665294 3454.334015 3563.007508 4650.342021 4772.082363 5639.425922 6958.832444 6508.864805 6531.462624 7785.774069 7234.274808 6400.614273 6051.850747 5512.766087 5693.43576 4982.121211 3858.088357 4000.746228 3339.104296 3235.256062 2522.067525 2174.421823 2168.420024 1531.554908 1597.413743 1971.729793 1605.063715 1701.506364 1536.629715 1449.26141 1683.804445 1464.713462 1257.354313 2292.409684 2466.323348 1881.825716 2248.492747 2063.516651 1875.160524 1555.974206 2107.273912 1922.016409 1412.795791 1516.26544 1349.921825 1500.826218 1963.753613 1387.829421 2394.925764 2166.264913 3039.089427 3733.792141 4736.123177 4851.008778 5553.194934 6499.116978 6607.293319 5982.044731 6144.781811 6638.683308 6369.120567 6923.792529 5841.207048 5274.739656 4341.646698 3719.057582 2815.394442 2286.971875 2091.346081 2065.180098 1985.709989 1928.8964 1874.513627 1603.110096 1514.390451 1147.653226 1412.452209 1306.081011 1236.860907 1036.750867 1141.589259 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2464.963256 3782.456444 3144.002808 2616.751022 1359.625167 951.5175165 1006.046603 985.6876723 1095.149735 827.9227575 764.411965 636.9504044 553.163529 219.6901288 442.2056976 335.8971632 442.0527581 585.0928932 272.4229002 432.0946918 413.3395774 342.7915626 572.4842401 386.1574005 416.4977763 360.574893 334.4869202 589.8990126 1034.488481 861.6603945 1249.408655 1099.181185 1279.89645 1343.068376 1085.548501 1108.447941 1728.855597 2186.662524 2459.844762 2751.114182 3552.896956 3433.277342 4123.623042 3990.854565 5233.823176 4450.688132 5648.951193 4162.3188 4804.80296 5173.762745 4737.298908 5196.891873 5783.435864 5972.999146 4684.466636 5403.465763 4816.534932 3881.892187 3653.23605 3463.59326 2349.65957 2957.408822 1836.418517 1491.968307 1464.179068 1419.298388 1260.587836 1341.232712 1290.817477 1256.969769 1065.359694 806.1307457 558.4800354 536.6724946 382.1418467 490.4489554 367.1741769 282.2143134 589.6511919 341.5033447 347.8756918 345.517221 485.1581449 490.900419 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3975.343183 1472.151333 611.0614215 404.5404531 378.2243719 475.1058821 807.7252397 496.8720053 603.6981563 570.3699258 1399.834786 2100.453542 2493.992899 2468.937177 1378.560784 1364.029056 1816.665795 2510.133657 3054.746919 3179.261067 2627.667408 2005.985545 1125.520241 706.1050917 801.4597369 1253.714213 3074.594924 4657.79546 4598.043869 4839.618933 3632.969957 1826.598254 1240.426485 1052.17341 1383.59392 1467.810882 1416.280778 1394.794158 2239.294873 2201.726077 1954.571982 2268.996006 2673.195702 3428.100875 3904.374683 6298.255741 7724.858695 7377.128826 7116.992306 8109.348877 7835.725531 6649.499261 5560.063 2941.532784 1633.949668 1448.093504 1416.692192 2171.411325 2657.287381 3627.124629 3817.83645 4471.96973 5134.14825 5662.072905 6736.016607 6838.8351 7497.88529 8790.264975 8915.097698 8298.551465 9413.349041 8610.722843 9724.229108 9991.128927 9397.584966 10414.5173 9824.052427 11738.37185 10111.64567 10266.27935 11256.26242 11565.95617 12027.55067 11016.07883 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923.2935449 1403.448207 1900.646358 3486.069615 4425.479508 2685.48298 2140.375522 2248.07318 4033.40642 4769.006124 9306.557887 14082.02744 32714.7049 53011.47465 49555.78382 48595.31816 40883.37408 13856.9515 2459.268299 2520.549575 6300.964443 7422.664565 4553.137595 2432.545627 1003.291692 390.7604401 1273.887655 6593.689493 9575.620116 8019.239871 4240.105779 5658.791208 14251.15963 14216.47761 6422.583536 1253.289093 515.027217 600.9312734 527.8529652 1116.498359 2768.026583 5363.796207 7524.287986 13770.28833 15409.04037 14035.80248 8363.571566 5507.817635 3637.467854 1775.143888 847.2552249 405.5689626 401.8503244 379.8463397 608.3591931 676.7219424 781.7915483 741.0289597 1758.400115 2844.101314 2404.90789 1920.653612 1068.033717 1393.282846 2368.907375 2891.629362 3423.032671 2943.385147 1769.243704 1437.029359 878.7922319 976.1955679 954.4633043 3007.40773 4223.509536 5006.299979 4846.355316 3791.025542 2200.551945 1163.724518 1029.997799 1521.02861 1777.077366 1589.798021 1300.478312 2447.520348 2492.025447 2324.694169 2289.623044 3002.384878 4634.40786 5493.226885 6474.515121 7456.463059 8784.983888 7525.567434 8195.856009 7684.046117 4061.088919 3428.454286 1822.927835 1311.496707 2151.797158 2250.314129 3239.494021 3858.995442 4465.227955 5736.989876 6230.52297 7665.499322 7658.632016 8807.989432 9991.820733 8557.242231 8852.962122 9695.795321 11094.19528 9454.764122 11219.28514 11596.89831 12461.11519 10398.62447 11730.83576 12038.25088 11505.87087 12667.58711 11601.7309 10714.0976 11877.53646 11388.34939 11059.50174 10602.21782 11947.83593 10757.10624 10795.8162 11737.72425 10839.37012 11488.22826 11817.51865 11981.44825 11818.54776 12434.41076 10902.52931 12504.99328 11541.15806 12282.33471 10763.49846 11783.39309 11459.10275 12576.38824 12196.90818 12093.89505 12189.75446 11273.20507 9188.483598 9598.18489 10153.70093 8409.469915 9205.528475 8035.835674 7936.594942 5565.612089 5102.018932 4427.93105 3656.59213 3062.634552 2137.790856 1461.898558 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7566.525502 7537.621293 7285.575914 5353.049281 2984.304477 1797.926523 1440.66847 2645.012084 3193.257675 3790.2607 4710.214456 4538.42984 6391.927359 8962.039957 8500.357362 10039.20381 10726.34913 11034.60892 9753.631885 10546.11469 12109.2606 11234.54455 11442.0415 12856.97483 12374.19987 11773.72615 12047.53266 12934.24708 11167.51165 11664.95849 11116.09705 11598.92527 9930.148462 11336.80046 11084.73638 9288.055298 11139.48765 10979.01043 9921.893412 10767.04216 9491.807355 10388.76026 9472.2919 9274.724061 9805.561157 8673.707565 9424.539791 10516.4974 10519.14497 10165.0405 12008.60231 10954.85919 11030.89242 10802.26856 10196.65647 11040.62866 10666.00538 13027.59744 11626.39806 12194.24552 11872.02117 11046.72864 11822.02973 13424.44491 11761.75074 9458.294223 11938.50868 10864.07288 11086.6016 10066.15797 9327.76801 8894.809746 7072.995003 5316.071841 4446.946089 4286.964067 3713.816833 2207.608379 1976.303936 1944.154408 3777.287235 6590.92118 8560.319326 7805.720152 9016.698627 9002.404148 8177.172145 5991.256594 4849.467393 2774.177233 2674.748467 2107.253371 2527.284851 2026.113185 1580.977852 1586.345144 1620.751333 1483.484263 1197.928985 3079.974295 5176.794878 4767.966017 5083.16965 4451.667632 1892.180907 1016.515263 982.8826628 1426.208243 2125.1001 2792.555858 3287.682616 3372.127638 2759.826934 1355.160639 1343.253517 2693.729523 2996.054419 2557.780566 1545.038835 626.0547572 861.0644605 689.4350426 447.4558916 690.0531009 453.5171616 697.6164539 1380.776289 3572.216733 7400.252674 8875.820389 14139.72414 16894.13935 15387.72711 8375.291581 4684.654711 2485.81662 1083.979478 563.279463 489.6318747 428.2390078 3053.427908 12383.99645 15181.39659 10450.68648 2986.128537 7188.030061 11227.85783 7201.790386 1770.540844 438.1259743 1027.898186 2412.742048 6001.380845 7553.908997 5311.534219 2283.727877 2102.104344 24396.89067 54193.78527 55383.83954 51697.10846 43748.47382 23185.66628 8807.475818 6792.822546 4187.458868 2635.659046 1880.13124 4012.605607 4218.066894 3395.71687 1830.368594 972.4370663 984.1590967 1223.348854 1346.730595 1054.072083 724.8855355 509.6709077 492.9944388 504.6328019 405.7256803 459.3507409 397.3182371 545.3398418 112.7259939 393.8840556 328.312885 532.4729256 453.5786979 637.7039582 1412.549736 1682.067637 1883.33665 1704.008941 1889.863488 2170.303119 4542.563985 5580.210478 8382.365514 9323.94679 7776.168892 9219.539586 7994.001913 8003.103669 7611.830882 6026.82782 5685.194738 4484.978447 3123.785459 2018.45344 1148.73043 564.2635123 646.0374196 550.642243 357.9332947 441.7381741 335.7625224 432.7564729 255.2481364 373.1497783 207.1811199 249.7759185 136.0172808 319.1999431 251.4775087 385.6863586 530.1963742 681.8038362 548.5617131 611.4338915 817.8374316 1189.487189 2408.872463 2740.804141 4223.514214 4710.444705 5485.217544 6833.431907 9852.652087 7699.730153 8713.731523 9842.373729 9055.73217 8718.553574 5597.980743 4031.092533 3353.064322 1641.686785 1604.572496 1566.981783 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5328.730427 8488.761877 17232.00292 16500.08317 14695.33299 7276.336146 6587.673567 3327.683275 1390.630115 693.4082568 545.22828 441.1410172 411.5084123 996.1569135 857.7725668 630.1300347 1824.774263 3031.502645 2975.691879 2231.730705 1084.154128 1428.751007 2843.961137 3552.641965 3289.234293 2394.585816 1676.854197 1346.112047 1073.509934 905.3687215 2543.914296 4868.288549 5833.691126 5249.783164 3543.183902 2084.398757 954.4487939 1451.703251 1890.292152 1920.414483 1617.289442 2246.80205 2475.339136 2678.185218 2460.692396 3108.377902 5640.981731 6542.746443 9309.510906 9237.799261 8980.424673 7901.602524 6939.50514 4298.541796 2530.833722 1053.284039 2030.824108 3675.976668 4140.9815 4614.844659 5449.824896 6927.661963 8390.272701 9763.932972 11271.51117 11328.31129 9847.333779 11015.83495 11469.43155 11735.04044 13125.96283 12987.997 12259.59674 12859.02727 12844.48971 13343.02128 10045.21946 10990.09763 11935.15352 11086.27196 9685.280206 10801.29671 10724.74485 10241.23755 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325.4801489 308.6022697 90.52144585 122.8629844 177.0443386 160.5828445 92.97648554 183.6258647 290.8883791 373.2875025 403.5841234 423.5446998 467.5226704 359.3517583 404.5384032 391.1045811 354.0764338 654.5837571 444.4759645 357.5952181 449.7605452 565.6975819 517.9632043 672.4573649 543.2057689 519.6817726 320.8438759 347.7851093 432.7371762 710.4632579 624.2128257 630.4530616 559.7064153 772.068945 583.0355439 1094.135731 7421.772545 11365.92107 16777.68631 10458.07994 5136.969441 1375.018983 2136.040688 3264.994714 1968.962257 889.752117 361.0425047 406.4789275 754.2721484 469.6020217 888.594802 373.6426234 591.8938897 611.8877434 473.9314988 982.8588237 1489.185729 1327.221632 1243.034866 936.4933197 1379.781948 3874.973691 5692.217176 2356.530066 2288.4134 4304.63484 7231.140688 9748.858813 28241.28958 63570.65521 56254.51991 66778.02038 28806.46041 1963.787048 3871.117052 7900.547805 10113.55118 3008.701593 1329.751157 489.5397986 2587.689795 12939.86454 13138.48317 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2906.515283 6685.499951 2988.785682 926.4749918 1418.802553 1422.774957 1333.352186 1306.68308 466.9078325 606.9413902 627.0511823 536.606937 726.697501 750.313337 678.4750239 1172.706818 808.4031456 677.151514 2343.457257 3931.865569 1327.245375 1666.557171 9307.603197 16713.9325 18661.98553 3707.77532 724.7609463 684.662923 742.375362 836.5436027 551.8589488 527.0901098 748.3893286 699.3354935 794.5623357 579.2647253 653.8529199 503.80006 669.9644613 712.2385976 680.7356433 586.3496371 471.9361607 560.7638736 838.6430891 701.2410004 540.512428 760.1197406 273.8294324 489.3545718 521.9693225 549.4015466 789.5861444 527.3441827 468.1284063 307.3371448 181.7036707 30.99069393 51.72238225 13.16268419 58.63334942 0 101.502953 140.3694415 335.7627183 639.278366 576.88623 487.7067081 595.7042068 568.4035691 670.5490052 393.7085405 388.0209638 542.041653 356.7559502 486.9944985 447.1092115 583.8369612 699.4573112 627.4260353 686.143637 430.235934 616.0229081 880.5106326 585.369982 697.8250962 593.8116513 522.6433967 289.0023556 409.1141419 726.7274 613.6357208 764.2016025 362.5032573 2775.097667 17650.04405 16448.17833 9650.528956 1716.008516 1216.655351 3941.955862 2383.793034 644.4317793 459.8250103 624.3368372 737.6645381 553.1340313 522.0982428 374.411845 459.5554901 555.7227456 539.0039412 1405.448613 1887.855043 1415.150691 1225.087843 790.6741748 3620.937583 6294.533405 3466.557106 1863.770272 4224.069677 7427.742049 9004.856535 30200.00553 66427.62133 60784.48428 73674.25226 19526.70062 1345.701216 4953.698142 10293.85332 6481.289152 2156.374483 753.3526573 490.4531367 7538.667834 17901.56579 11123.30054 4884.389036 17760.55559 17030.82524 4768.408239 632.4042953 643.5562381 453.5223548 2024.329861 5297.013451 8899.66216 17053.28426 19116.33622 14930.1107 8299.521205 6397.912335 1734.523842 921.7933253 634.2080447 330.291236 622.9178343 642.0934618 796.3387787 1432.559952 3390.365986 3299.245486 2709.369739 1421.717198 3025.910718 3920.998366 4495.024242 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4978.234034 4530.271011 4124.380294 3999.149863 4186.722579 4453.497533 4000.252902 3094.908087 2578.372429 2870.514581 3283.068965 2269.45942 2782.140616 3229.953904 2287.630402 2365.101853 2112.457263 2686.397727 2430.65869 2143.745457 2328.721502 2167.72646 2366.894935 2244.706407 2131.371972 2412.375796 2654.856362 1883.702372 2629.534302 1903.98192 2401.958055 2239.222231 2065.656213 1847.302679 2536.173135 2266.728106 2867.090936 3031.586604 2643.749613 3128.260883 2784.301219 2979.232224 3231.262415 2922.870197 3158.996729 4413.561386 4266.45679 4044.507125 4943.924482 3840.022224 3407.778603 5701.605417 7016.946069 8050.905746 9471.06993 7948.980984 10911.84299 11709.04934 14736.02466 15293.11346 12886.6969 12809.33594 16521.18915 14933.49198 11681.81274 12851.85905 12753.65581 11974.73643 8275.017931 5650.636828 5383.359886 4604.921675 1787.557334 1301.635443 7186.311869 9138.34539 9892.507538 11479.61059 10429.21402 5993.804323 3765.075311 3631.705113 3422.629401 3034.162771 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10967.23094 18485.72648 10752.10362 880.2286733 433.0126001 616.7243556 658.8624667 570.7896658 595.6457442 339.6713572 592.8022422 564.5680919 700.2804565 495.0460854 469.1906968 434.7975585 588.7297547 758.7830716 534.9631501 765.0243056 540.6627071 611.2261222 522.9226143 542.2809527 594.2621015 535.2289375 444.9118875 790.9551723 719.532087 506.4570522 713.9761932 491.8352219 362.7242288 320.3225867 130.2374674 24.74641785 10.89481357 24.51049577 0 23.84408172 54.6803108 213.8551277 307.1993014 396.8058233 593.6463506 728.8245411 649.665411 670.6253898 854.8225536 556.3302493 813.2313002 778.6381609 693.6619063 806.1628442 332.5397298 327.907324 424.2866825 526.7198309 448.8294807 541.3344928 483.0656962 649.0727962 683.0867921 491.1946101 668.5439696 665.784961 731.8149604 534.664288 612.1190471 643.5278172 530.4473091 581.8630175 1051.5863 13236.70519 17777.48297 13781.3152 2799.42079 395.419121 3645.24042 3250.899237 538.5637551 298.4086579 521.9995267 626.5836937 610.1070315 534.9397905 704.4929565 592.474241 621.9641233 696.6803839 1134.033731 1721.517404 1224.537125 1615.866611 603.2529513 2751.753305 6393.351109 3581.7171 1914.358379 3923.44903 6838.415339 9978.122306 31394.74309 69928.95548 61831.71566 69582.69226 23812.08596 1257.222164 3736.964468 10514.09176 7958.246917 2634.328987 546.6809344 618.3951572 7770.91556 17052.94929 10955.56117 4573.359027 17118.18743 20086.61576 5205.428654 528.5363244 640.8733928 744.9809639 1659.751532 5044.258613 8091.736997 14868.20729 19617.25927 14824.95756 9537.048765 5440.074314 2050.310355 707.703469 709.6934738 503.7020625 868.12733 1231.336322 952.9308516 2013.690875 3518.697202 3440.869361 1926.285714 1581.978362 3225.928597 3954.475284 3670.872519 2943.450557 1672.559389 1070.939485 759.5349144 2962.160218 5380.653346 7074.852404 4913.388792 2568.704958 1134.627706 1827.54678 2009.082962 1892.978961 2342.713563 3131.822852 2598.927732 3882.499917 5930.230934 9962.489275 10406.62835 12149.01666 10061.52386 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434.0746256 934.2097344 642.8868424 410.4892256 632.4861876 598.1973809 572.0159088 506.6687891 699.0451874 691.2534853 613.7498585 2301.862231 14591.19539 17642.09671 9685.455009 2228.345873 816.0036258 4020.356819 3145.435928 409.3113257 609.5091568 576.8412389 671.2867801 477.4295018 438.7635981 490.9029665 1009.916568 297.3058919 739.3623219 977.6742337 1766.25374 1571.636733 1215.827914 634.6777615 2844.49626 7368.034373 3199.612192 1826.367926 4157.564934 7775.680119 10299.18631 29421.03612 76848.01559 63488.5969 72967.17238 18762.23198 1493.244499 5355.709194 11783.64846 8207.536241 2148.222081 723.1448017 715.7816585 7602.002674 16525.50136 8783.173186 4185.623377 19136.76406 18030.4226 5555.945092 745.4112519 868.8215088 349.0756871 1942.086072 5162.429829 8195.582016 16945.0238 18981.98861 14556.87727 7773.794006 6370.303377 1880.928773 925.1308565 662.7156042 559.1865486 660.7024859 730.8349387 849.1674385 1669.202083 3351.942724 3395.651193 2546.454277 1409.571039 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549.674881 594.7736575 597.808753 5433.086685 17662.55666 17243.0226 4466.602276 8155.402481 16662.32497 6880.400884 462.1722582 815.7552219 2278.167521 6931.889866 10424.9112 5336.556284 1817.743293 15957.35655 76601.8568 49225.59373 78357.18672 25406.62044 9836.875323 8195.480666 3781.053796 2011.841324 2909.307258 7162.58439 3131.474365 581.5000499 1155.856521 1388.512739 1640.18291 1086.202173 436.7448 545.2757461 419.6885909 474.8471677 766.3141304 760.3342981 508.0339991 516.9445049 595.5793871 503.9703908 2613.281823 3893.185011 1082.628004 1523.608024 10591.97498 16228.48482 17087.15783 4132.43855 512.2810648 855.6942371 736.0417252 405.2498923 501.3076725 544.4976785 483.7461862 779.755367 580.1601097 300.2419861 760.0671671 468.5434729 361.2020637 590.2177346 518.6516706 478.4794249 717.2890045 448.5261927 669.1233669 470.5798323 423.2158163 727.4037869 416.4754195 620.5797032 612.8306943 623.6646104 627.1783272 656.8318799 418.0493974 364.6789924 315.7844839 43.6684362 88.4999141 45.52960956 0 47.34448341 146.510806 136.2519866 302.8658492 487.9159624 544.2721787 638.4196646 540.4676447 664.4259404 686.0569917 531.5911991 573.2825695 782.8923914 632.5364403 489.9184391 618.9541796 537.1938076 741.8290514 614.2668623 732.5841901 603.6589519 527.5029696 781.0158217 703.3180884 567.1305001 446.5428827 575.5767634 549.4708552 842.6220279 704.7062484 820.7032154 572.6612327 442.101838 4395.529333 16786.84563 14863.38805 10670.08012 2203.101392 1353.481818 4053.786354 2202.615534 607.7433839 495.686138 498.129998 697.8309413 621.3707 581.9288687 707.5208679 427.2888625 391.7996959 600.7161043 1002.820956 1671.339008 1690.330447 1285.473179 507.3226511 3273.562714 7071.53157 3386.74546 2151.662276 3520.909266 7642.539735 10438.33972 33381.24245 73930.79428 61889.78693 69756.67764 16602.25478 1365.650179 5116.785197 11082.98066 8226.752268 2268.062005 811.0092734 714.3719445 6808.645939 16953.13307 9214.798582 4348.052564 17863.16635 16435.29063 5131.275112 618.9667158 595.8319656 517.4521838 1986.369441 4918.388021 8977.168514 16719.28554 19843.64367 13344.12337 9711.604656 6262.813767 2124.604215 726.9610304 401.3867163 721.66182 917.7447264 1088.334139 746.9482381 1932.365184 3380.461714 4023.255345 2182.216189 1641.424462 2644.807452 3851.650337 4155.544911 2524.972583 1800.091105 1365.341956 845.1418402 2708.352795 6715.752307 6788.122888 6685.497084 2601.332376 987.8931214 1950.89627 2052.586479 2014.293244 2469.332748 3183.852576 2995.48259 2812.484663 4721.128995 8851.396314 12314.30278 10284.03646 9639.053375 6976.553671 2083.648619 1325.224708 3413.10568 5292.248286 5374.774229 6474.760383 11223.07613 14519.25794 13032.45266 12778.60058 14856.57441 18223.83373 13897.0098 11014.46446 15355.36766 15046.94162 11933.8855 10752.19198 9830.078112 7962.911106 9994.338973 8046.637773 5468.233413 4692.864877 4223.028926 3723.084536 3473.790222 4405.158599 4686.687198 3831.612274 3292.79405 2439.182233 3018.390122 2979.788007 2557.486879 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3772.010986 4092.478093 3103.183462 2966.9145 3307.416191 3074.908942 2690.282267 2850.598373 2618.09191 2700.061944 2649.752733 2956.825879 2759.306237 2787.958525 2735.623853 2526.11014 3036.161112 2804.191633 3070.799048 2576.943097 2950.231151 2401.603938 2463.204283 2795.105077 2430.533286 3126.584007 3219.42239 3247.234168 2729.038527 3350.496719 4427.080313 3974.929647 4540.083392 3738.576263 4486.016843 4196.621317 4664.742487 6411.521697 6728.426545 8628.624591 9808.274351 9326.657865 7870.729844 11055.59375 12551.21677 13162.72259 14864.72217 13136.2034 12660.3558 13321.91415 15635.84107 13395.04132 12085.05026 12208.73361 12175.01368 11310.59188 7250.922385 5605.792193 5515.403219 3621.172354 1536.781921 1130.361308 4571.254907 8983.372354 10180.25158 9692.42215 9585.243396 8756.483476 4795.679507 3323.306912 3455.216687 3094.420952 2766.395914 1701.705561 1780.864663 1666.437022 1159.274823 2270.410087 5430.98346 6374.304015 6313.193267 4380.655104 875.9794954 1112.581131 1450.994422 2366.449615 3491.133468 3887.873274 3236.247117 2186.492031 1315.622245 3418.486041 2815.590021 3054.194062 1053.944646 738.1260466 896.6861125 789.8172556 587.9360149 519.9313626 1171.860022 1946.929303 6452.785093 9241.63526 17267.81153 19414.9665 16373.95534 8653.851267 5238.184112 2000.564196 598.3911435 515.5586395 495.3786278 3206.612991 14604.71574 19460.17614 8083.912695 4375.774615 16382.48252 12241.1216 1734.098724 347.8200745 1048.477285 4093.046233 9909.774668 8223.338299 3064.975412 1370.950955 35398.18078 70780.70305 53354.18643 74027.09403 30884.26019 8602.735246 6623.206226 4006.697121 1984.10115 3400.620176 6743.756606 3446.630302 636.5787085 1067.948422 1335.657955 1373.227537 1205.084179 817.0595512 490.2242929 683.6185287 515.6601956 504.9190715 674.750791 566.4095435 411.2234434 593.4764878 708.8061772 683.7789308 2433.132798 3260.982873 2357.759351 2530.013156 6469.902411 13998.66498 14382.08838 9313.255462 3830.993468 529.9376242 585.4937345 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428.8629164 298.0699547 566.6880109 765.3191899 656.1757813 901.1021001 562.9163637 561.7972804 730.5162314 505.9479921 545.6182137 550.5581924 253.1066054 440.8025276 353.5957485 225.0910964 141.384608 217.6093791 227.3727303 50.70087802 306.4776097 243.7276859 450.5656787 292.2761313 625.9064376 447.0430807 461.1390099 643.3340433 567.0329842 424.1774227 808.4094629 496.0473682 552.2419818 448.9158593 313.3626481 410.4092148 492.4125821 505.4276942 343.4340158 873.7764576 634.1133287 463.0236097 618.3386727 545.6847863 813.3474967 553.648694 463.5156 2494.903889 7217.089587 12910.62445 14657.49745 10026.96253 5376.502784 2135.523769 2015.159109 2810.334456 2240.055033 463.0223621 462.7860698 479.2766966 530.1603638 613.5897286 538.3498112 562.0388765 638.4875419 501.7524367 436.8957146 674.7873738 1180.186557 1410.069426 1158.758574 1276.033129 724.4155478 1859.761072 5777.080264 4852.635195 2212.781476 2741.418021 6467.038388 8247.142403 13946.09289 49769.20626 59426.00095 58362.19829 67166.92484 14023.80855 1320.421592 4359.45629 9326.285549 8417.483146 3028.695435 992.6602808 533.9641486 2780.126439 14180.30847 13961.24759 2972.60869 10171.34654 16589.81637 14802.9403 2221.95818 766.9809876 543.0064851 803.761187 2090.964275 6031.600689 7778.148117 17814.72426 19075.41953 12470.96921 9089.550569 6662.863858 2604.278051 768.117148 663.5449938 677.0856291 750.105258 798.101759 647.0014801 688.000998 2852.812192 3384.634043 3223.114746 1649.940644 2019.25396 2933.602386 4015.002202 3591.289739 2489.239216 1644.584543 1261.981241 1275.523434 1867.939694 5737.211775 6266.750512 6084.796069 4501.423733 988.3291661 1133.589875 2090.788232 1914.82665 1850.254997 2289.160773 2870.676404 2758.110562 2626.558899 5257.617711 8179.743362 9347.798247 9286.424063 10549.42301 8134.138287 5673.660464 1975.18433 1365.205046 3306.445499 4211.638378 5944.904879 6907.96071 10536.25434 11880.47764 11661.72174 10788.60594 12506.72023 14899.30226 15424.6663 14142.15719 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3303.666531 3104.678132 2879.32844 2255.718003 1847.043947 1881.787033 1884.062348 1163.828111 1422.827787 4582.113985 6375.339886 6303.210681 4613.263441 967.6113124 852.6386101 856.1737915 1894.467204 2960.461219 4076.718432 3957.932765 2818.382678 1616.377928 2147.483461 3200.543987 3500.711871 2377.262483 942.3332309 709.3371137 592.7600593 476.2777844 551.8133005 636.5391648 1207.578989 2115.438903 7803.886065 8631.590925 15011.96354 20194.8778 17645.11707 9504.020886 4889.600325 2371.068439 784.4263554 429.3489934 312.6488534 2129.524396 11179.12843 18522.74561 9071.091464 3208.214187 11822.95607 15269.26119 4898.721151 501.2320937 1029.74014 2763.030349 7051.987746 9948.410889 4913.701146 1300.115391 9642.490138 54992.88625 48230.84193 63868.35761 52821.54242 19116.22519 8877.191589 6599.454718 3331.256499 2331.402617 3889.254906 6654.645265 2875.40658 780.8286437 1229.131189 1302.901831 1554.458942 1142.334086 635.1730258 561.6343909 401.8136805 604.417689 617.737035 489.6565027 439.3542667 514.2950212 650.5929219 597.789948 575.8976661 1700.166069 2939.404995 2313.228731 1895.846494 3353.315328 7232.638056 13691.77116 12783.62162 9406.015478 6102.501199 1914.890396 607.6986633 522.0158596 728.7507331 662.5420133 368.932859 550.0446608 513.0561571 395.6177783 518.9782618 360.3415797 508.0481083 423.1768528 596.10918 720.5995498 480.8400545 518.4243724 395.4783048 717.5028245 534.7886109 441.7533799 441.9988877 590.4273206 388.628863 323.0958993 553.7908341 329.4079338 138.8990408 102.1613641 196.7111306 202.5645689 279.05741 329.0661846 289.1945381 396.1978968 583.3124003 633.6380972 458.4609595 447.7585083 531.2628071 588.5598229 344.9051072 540.6274023 573.3529977 444.3172891 688.6715294 426.0089561 566.6561073 565.709767 581.50695 404.9727139 666.2079327 540.3954493 554.6686269 686.7338697 512.3483021 784.6488705 1406.262644 6137.367667 11014.43803 12894.33594 13262.54096 8315.968258 3321.812006 1984.583379 2506.999087 2720.124898 1379.848381 569.1795145 539.5133504 473.9533626 557.1339019 312.7323426 424.2543423 511.1528254 501.8069126 544.3518169 591.7232064 927.3315351 1393.385669 1364.800809 1380.453355 1077.3228 1142.247895 3152.885949 4830.987621 3767.836023 2168.531736 3055.113036 6206.391088 8922.021867 16459.47594 55949.30304 72012.33594 62466.5696 62777.12365 13097.98572 2377.736716 5305.892228 9857.585284 7163.770147 2237.773183 1006.506587 551.4702508 4504.908947 16095.60988 11445.08037 3436.512207 10953.29526 18601.82927 13743.50485 2248.143022 515.0934806 451.0650707 733.7120642 2301.784584 5033.094299 7221.294404 15968.11452 17537.18874 14997.23834 9280.732561 6699.945306 2117.991453 886.1378557 784.365689 776.0466802 488.2984477 666.6586377 848.7701371 903.6860094 2384.105695 3610.554061 3412.011831 1811.527501 1631.773972 2766.771411 3932.088718 4416.447018 2895.743499 1870.257122 1239.536008 962.9185536 1487.92821 5010.003683 6202.052572 5735.939619 4555.37199 1818.484518 1291.981603 1578.656453 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1238.896717 1246.526756 1335.500161 978.9474379 768.1394605 562.4199343 409.2604698 495.1506076 407.5218671 442.093346 625.9217771 748.7581119 482.2785205 465.1831747 649.7786809 670.9686849 1324.797168 2132.597941 1748.762223 2180.887175 3585.52643 4404.338377 7711.347935 8923.091854 11578.36936 10341.84976 8188.711457 7526.920657 4730.143979 1859.575018 775.7344922 760.4217945 809.5898371 613.767096 626.6468912 452.966135 577.2443494 382.3717007 421.5736349 486.6234558 350.6896415 523.2441279 290.4663095 562.6136498 439.8252949 372.7559518 161.1389896 304.6627057 301.0108442 209.0302605 364.346111 250.0788534 463.6875188 224.3546163 258.3679428 391.4476818 540.7145474 502.8213695 452.973776 587.5265312 440.2862794 424.5906171 461.5487386 532.2634154 397.1383786 522.7502218 500.9718152 438.8726883 492.3876256 554.4422877 405.6932818 819.3044404 2022.682877 3962.097526 7085.770207 7655.399945 11313.21967 11573.58678 11500.31464 7666.337581 4759.75188 3142.282333 2214.145504 2342.612144 2022.198237 1680.349626 800.2796232 437.2500559 622.5748854 358.9635739 595.8835956 384.2855967 430.0954288 469.003823 563.9226151 808.7890479 728.2610723 615.3327987 1282.528835 1440.028781 1344.257411 1065.472871 989.1189569 1395.385545 3567.04814 4631.182215 3220.653593 2136.085251 2859.868788 4986.892548 7713.187214 11011.88189 38447.18626 56763.2319 58007.71533 58634.1062 39179.52471 4711.520642 2469.819139 6540.155919 9698.588134 6926.518738 2846.768537 591.8019721 626.9054803 3546.786903 13488.56774 13042.37998 5226.223196 5585.908474 14090.17612 17005.358 7054.854735 811.9783116 405.2951255 423.8615667 998.2080579 2706.103972 4767.173489 7617.669598 15661.33566 18116.70865 14352.71981 9517.003357 6303.759674 2658.577573 1064.284573 438.7541097 571.5737145 436.2659706 776.2358899 732.3195786 684.9226655 851.1722788 2890.916987 3313.749054 3142.278792 1529.794464 1738.28869 2791.074977 3726.804655 3775.915855 2768.025893 2132.991038 1089.530477 1192.875571 946.7150451 3288.410024 4837.932299 5171.183562 5221.903676 3909.67855 1579.448108 1358.742297 1659.376475 1804.301414 1643.93237 1825.110868 2643.69836 3232.47428 3181.78365 3539.715286 5061.018967 7582.636211 9936.709672 9530.783076 10063.88093 9450.44012 5998.299817 3191.350057 1091.099598 1984.618154 3410.772653 4253.217338 4805.740266 5793.88577 7594.500277 9730.2657 9895.866342 10384.37481 11742.14762 11285.40461 13718.45394 13989.74818 13103.87057 13369.99198 12778.87865 12899.52597 13746.03233 12030.03398 10905.11656 11422.69833 12224.6667 8844.826423 10689.67149 8605.991934 8248.850666 8395.224469 7804.144668 8864.94492 8354.275375 6464.811798 5912.269756 7118.430689 5888.678124 7106.86552 6398.346098 5954.090734 5752.78152 5311.006919 5591.445972 6731.723425 5620.226066 7126.776587 6409.763607 6181.179072 6791.614098 7400.696885 7216.650959 8512.459213 7869.040332 8742.991324 7312.339106 8766.630879 9579.273522 8193.980144 11899.13863 9998.659234 11806.12144 11079.50643 11452.67881 11840.37498 11931.17827 12482.04876 12554.19801 12383.24941 13233.36686 14290.40789 12846.92261 11407.97366 11052.74087 11492.00215 10641.69136 8993.870787 8185.768783 5986.949443 4813.666884 4424.443094 3773.424901 2156.312202 1158.651419 2260.814849 4580.285964 6341.686608 7730.073233 10728.96554 8633.480696 9168.062708 6523.609541 3806.77277 3192.215655 2393.870736 2736.172766 2484.511436 1959.32659 1705.540975 1833.099883 1689.588049 754.737326 2015.696557 4910.034811 5678.015136 5737.116478 5257.615262 2220.119086 785.6940193 1038.849538 1109.42144 2515.686333 3049.147379 3856.863423 3477.499082 2229.583364 1412.010169 1653.492435 3210.736616 3161.996339 2617.832941 468.7162894 631.7493685 827.0499586 859.5544647 489.4756989 456.2794682 377.0825146 1267.007529 3008.934946 7143.569186 7915.822854 12779.12679 17800.26244 14452.6541 8555.025113 4760.876425 2747.985098 620.2115374 794.6236294 564.3543114 694.5107496 5307.857635 16597.28139 16272.33857 5713.80096 3417.498558 15065.80941 14820.73721 2482.171135 448.0377733 612.6054044 1672.456526 5593.410209 9558.26339 6639.261172 2202.641602 3867.237304 28940.88088 69308.34533 45746.49029 61190.80534 34370.08125 13812.65509 7859.691514 6602.998159 3237.624547 2374.541307 2657.764579 5292.809354 3904.277604 2191.785944 815.5340667 832.7650397 1108.148516 1523.571797 1173.707424 704.0766092 559.7326578 537.6193269 680.5790418 341.8295571 389.6933644 451.1165803 272.2033029 440.6692798 554.2185296 521.1997164 269.6259802 817.2520839 1664.055466 2346.923696 2297.432845 1818.781304 3270.89234 4200.965285 7814.821893 10142.4884 10720.71172 9791.376521 8189.260177 7718.064538 5841.660815 2279.053992 1047.672669 508.2204251 349.072954 592.1111043 571.0637366 760.0527197 517.7905713 382.6548492 395.3508048 481.760937 457.8219905 560.4810309 491.560095 366.8604268 422.3397062 342.0785814 392.4293527 337.6118459 196.0875289 352.4585739 294.5762655 272.0167445 195.1227492 416.3900591 442.3210532 407.1274095 375.5811232 364.247736 348.9859565 484.1751511 416.3826037 633.9841449 529.2451672 624.2992815 379.9391981 772.5565555 462.6590848 470.5922282 836.3436936 1080.698415 2446.798606 5168.205722 6607.382472 8124.010243 9712.108395 9665.933614 9933.258297 8456.50251 5224.167384 3964.851047 1449.543513 1847.898789 1943.530092 1933.521405 697.4344026 397.095449 433.8213214 379.4102837 381.0038016 638.0378743 561.3150341 472.4369838 449.8546701 531.2880662 537.4607687 538.6567412 653.1047393 1373.986191 1297.725023 1420.303501 1296.317591 716.0661363 1723.838881 4751.922952 4465.192005 2739.644108 2239.453761 3228.190705 5754.246313 7957.159799 16286.18382 46406.14183 50512.86329 55235.80499 57214.26866 30429.71703 3980.329037 2638.138614 7171.818126 8889.571906 5529.769298 2145.197281 715.6379884 711.0950843 3982.612824 12569.00357 13190.84382 4773.157696 6432.500592 16967.53353 15198.80978 4700.651297 942.1492938 410.9740056 477.6754264 898.5967035 2777.429631 6165.835504 7987.882687 16306.59462 18106.061 15445.40165 8166.935375 6794.317971 2540.999437 996.4125947 494.9070371 523.7875135 473.6037438 586.3686939 839.7975788 430.5193002 942.8676035 2861.956992 2975.929201 2971.366053 1760.027314 1180.487072 2761.923473 2960.629907 3380.248721 3438.764395 2023.946039 1339.612612 1015.920151 788.3460736 2167.313095 5397.171372 5343.047855 5658.100818 4566.741767 2016.881024 977.2089867 1221.334452 1684.554599 1720.433818 1603.193309 2303.706511 3035.860649 2396.482547 3478.260972 4853.496785 6824.968439 9355.492777 9379.801103 9189.44389 9552.402915 6335.368147 4553.070174 1708.787949 1600.887915 2195.310818 3685.452469 4346.115558 5441.312482 6805.889682 8369.211442 10369.86731 11046.60751 11533.78212 11669.28286 11996.7496 12491.72602 13204.54112 12509.1327 13256.48561 11831.42665 13028.36811 13014.52761 12788.79451 12319.68404 12321.79268 10950.35972 9955.160425 8781.449569 8601.514288 8832.696597 7324.942271 7745.937198 8638.20737 8012.586074 7476.257558 8053.498749 7494.513454 7745.116643 6463.904001 7065.29155 7037.947205 5309.778715 6869.504747 6404.749993 7418.82831 7352.100491 7994.963111 8067.020732 7500.57495 8520.51135 6834.385432 8238.50255 7780.58143 8120.922932 9798.413177 9759.254939 10217.53426 9114.229605 11337.11773 12740.5482 12686.98879 11587.61182 12200.51428 13809.22403 12063.57037 13212.80955 13251.60618 13126.55434 13637.56941 12027.46006 11620.03415 10676.05917 12177.49918 10267.2707 9674.185558 9036.275808 5837.717396 5312.525818 5022.779134 4025.903949 2764.98604 1366.956578 1632.784315 3742.106372 7030.227206 9139.697066 9987.962278 9374.805249 10072.93066 7606.59044 5924.571182 3012.977644 3034.270664 2045.720653 2792.577613 2417.311629 1555.379979 1622.490626 1872.944698 1150.905974 1137.707154 3441.246138 5531.395641 5613.806215 5217.219723 3748.263349 1150.772251 950.7489502 1337.279984 1354.65248 2132.156669 3279.201221 4063.893026 3084.00884 2120.242666 944.3924723 1694.355584 2972.787597 3223.302646 2605.340625 728.4294007 726.795012 608.1782553 506.1912962 528.6787357 412.7723045 579.3724549 1346.598857 3071.663098 6697.901933 7048.852433 15435.88965 19314.72727 16443.58256 8633.680258 4980.362093 2710.652537 886.940125 577.9350569 455.0581107 418.5704679 3816.937475 14893.255 16094.34854 7274.725913 3883.401013 12676.8414 13358.91704 5568.036776 917.7462759 525.410846 1862.259389 4481.405551 8663.279749 7415.426648 3393.528605 1580.933657 20823.74834 51606.4695 51511.91171 59449.40156 45369.29451 21353.87449 7783.899726 6228.828195 4137.480886 2528.784241 2271.461556 4169.636484 4577.749414 2373.153313 1117.70934 734.6705488 1210.598596 1374.823166 1150.775614 961.1131711 628.9551357 422.4902812 501.7451393 414.8153751 652.7990455 453.9457686 665.3524167 309.5708689 352.8992415 579.3305529 393.252438 588.5860211 1166.846719 1719.241887 2051.556989 2070.944977 2139.726418 3477.337838 5137.655879 7365.506523 9798.905545 9301.601259 9549.379925 8189.447025 6240.483218 6242.644995 2948.687829 2034.884855 772.1086683 371.786197 709.3562367 536.9448239 552.1701041 508.8697487 497.7192653 447.8035724 486.0541872 831.4669281 497.0756066 543.0914718 645.2413128 362.7335098 173.2735567 359.3567345 171.194005 306.4109391 220.9318203 291.6808084 189.2424941 311.8308922 403.7818643 383.446967 408.0062709 420.9550103 526.7582738 391.5378334 426.4083811 469.8641262 656.7628195 698.5237366 418.8761673 584.7768699 565.8994226 1036.750279 1872.39851 4520.611809 5369.403295 6626.345576 10153.47452 10213.1557 9606.895455 10708.12121 8096.918353 5488.927258 3194.248041 2231.955379 1732.270268 1937.913805 1903.248996 1204.001665 655.8771978 391.5443846 437.2865473 531.2965799 545.7496922 270.1158099 282.3176045 457.1774951 381.4714814 451.4828106 653.7873371 666.7681175 854.2516987 1364.048104 1261.773433 1156.892442 880.575405 1231.055864 3325.083485 5156.255155 3798.704955 2048.299521 2451.574754 4508.243051 7003.011897 8785.352741 19740.42851 49828.7648 61529.78231 45918.29114 49718.4278 22541.57067 3020.990717 3173.27697 7555.857007 8923.171461 4926.489895 1205.354736 867.6934979 862.5595104 5903.534245 14206.5961 12918.41368 3737.078588 6470.908295 16946.66467 14296.86024 4774.631168 497.757959 333.1255827 293.3260217 1206.566544 2477.823957 4772.248768 8972.283771 14919.2906 15502.57205 15223.28274 7178.381827 6494.42239 3315.199368 1327.679215 460.0348339 594.2198258 400.4344783 689.9095827 909.0917088 508.082879 819.5202579 2884.223211 3348.269568 3608.407579 2056.772503 1121.013139 2073.635785 3120.844166 3390.626756 3683.819576 2240.453728 1851.544907 877.5430775 984.312781 1561.265717 3544.137461 5874.894253 5328.683309 5222.113569 2447.337355 1035.521664 1137.231627 1532.145209 1802.755031 1814.050756 2069.127887 3090.880147 2695.083 2616.985079 4145.04126 5575.36771 8199.595756 8801.133364 9289.662105 9369.71155 9295.292722 5973.986799 3596.361412 1722.494084 1649.388425 3098.983106 4538.174193 4915.517744 5828.812423 6547.333537 8419.513202 9982.085956 11199.83701 12049.10419 11429.88275 10298.70247 12398.65239 12077.91358 12589.49633 12614.18679 12378.79458 13457.69005 12373.51614 11459.65027 11342.56638 10902.30383 12662.05378 10297.97686 10554.79943 9891.194074 10642.02756 8486.573446 8203.060431 8935.053206 7411.058033 7258.174937 7586.545266 7660.739327 8465.212895 8830.163796 7102.427529 7531.483359 8069.058138 8884.86062 8503.111757 8218.948197 7935.824385 8815.849158 8495.966172 10418.74814 7464.929162 8176.571864 9933.714185 8726.48688 9770.327721 9394.009819 12938.52915 11395.11935 12366.42936 10705.66136 12662.73354 12877.49371 11856.38402 13557.35178 11228.74138 14576.39977 12001.5977 12306.27756 10661.98573 11335.38259 10976.08191 11079.32828 10043.65038 9286.235483 7391.183394 6458.209336 4725.854411 4904.190478 4346.610282 3281.197641 1897.086962 2082.121777 3117.56217 5865.277654 7622.798534 8136.832546 10429.35783 10902.62188 9079.01734 6213.60713 4927.378818 2966.31315 2599.19453 2889.182762 2959.370444 1750.846242 1880.066666 1855.948499 1463.558795 1208.035503 1383.12884 3400.964756 5297.649439 6029.569134 5738.811727 2915.392075 1285.41243 824.6534128 1269.408691 1680.388932 2373.498141 3310.087788 3628.060292 3294.240409 2007.433858 1092.605984 2469.848697 3188.10433 2376.368583 1840.745428 522.552088 924.1717547 453.5289453 673.874873 512.7771346 284.5358313 680.0118336 1192.269364 3066.15692 7372.209978 8732.70093 14209.17776 18222.44516 16532.48449 7620.08336 5327.688567 2596.19413 980.4331882 689.8199814 427.6049663 696.9613224 4101.224875 12545.76512 17041.83581 8236.461036 2987.727499 10012.56179 13552.15761 6556.617031 964.0247684 771.9572466 1426.969136 3339.362717 7317.567854 8141.294535 3945.556343 2039.241661 12140.3861 43380.83617 58401.67646 47695.99218 61082.94912 31691.92449 10820.23595 6820.986968 4920.668732 3138.119116 2014.936273 3322.563896 4565.26153 3541.463353 1695.851497 732.5059033 898.4919468 1534.277652 1189.311672 1100.134874 603.8656381 622.8274125 391.6938648 520.3454074 419.1158701 480.5718435 418.7723574 404.0069492 634.4448958 545.9197577 282.0008903 349.2351379 601.215472 1210.947603 1576.167101 1731.565284 2122.141333 2054.789235 3156.988766 4048.592229 7484.052976 9528.078035 10752.66363 9382.357271 9109.033721 6659.503832 6957.795967 4937.06742 3123.260325 1661.571335 819.2229392 687.5054576 510.7668053 494.5057429 575.5513999 380.1270834 344.5643085 450.9786408 684.7262968 385.8144736 451.2058248 498.2087848 267.4270867 256.5901396 180.7439551 169.4330112 185.449887 153.6672215 323.7115131 607.0357118 431.4696962 486.1919684 561.3286165 494.462759 777.448286 464.7874339 565.5159481 724.5504072 482.2372751 639.8857527 591.7187722 941.7043448 1765.630647 3451.277386 4206.845886 6977.368921 7094.391022 9003.757906 9713.469038 10168.00043 9406.630484 7333.243878 5529.586862 3370.651403 2708.63929 1469.958099 2023.028392 1512.051555 1189.159897 629.8626855 450.5174032 695.2252853 565.8065684 326.4153813 506.5732868 323.2966631 483.2606363 460.7280562 490.1459812 560.9022367 548.5804395 567.7379426 1124.05212 1192.965603 1197.57786 1112.998083 824.0770397 2350.241492 3783.439926 5075.800389 3130.877856 2123.665682 2838.50956 4365.978822 6991.267925 11038.17595 33284.40695 53214.88104 59284.86937 61340.70914 47407.54556 12076.33007 2486.730565 4738.727694 7788.721898 8374.069758 3904.769785 1051.336486 709.7428605 626.9655977 7495.810732 12865.90308 11205.58269 2895.459934 8293.166792 17229.47932 13633.49562 4027.38594 761.2118757 620.1682161 434.3521135 1368.807549 2618.84776 4676.141432 8313.555654 16874.74907 17269.65393 13993.27224 7421.976527 8071.53046 3109.322958 1206.629197 691.8001135 673.2870761 428.093653 729.3647004 761.5274882 769.680679 942.7307728 1742.463565 3236.373239 2757.288361 2264.459345 1154.134393 2310.788664 3185.198519 3335.823626 2950.597322 2307.568843 1640.364195 1086.71595 857.2043497 1083.465374 2988.000722 5026.143218 5805.485293 5288.694583 3927.211608 1315.469607 1191.7392 1645.426313 1477.020014 1775.48188 2194.779715 2373.06496 2673.955543 2756.378282 3401.774724 4593.245443 5676.684937 8106.045469 10528.64701 10867.10521 8138.474107 7429.235847 4387.672181 2273.982271 1627.703401 2216.794565 3069.176213 4049.875595 4170.449178 5123.560358 6494.084979 9282.252089 10496.91944 10909.78084 11277.62336 11211.39974 10870.99087 11446.60087 12492.70571 13996.15389 12082.55003 13110.38772 12793.32513 11891.33524 12914.24243 11560.61052 11291.84439 11294.81365 10635.65545 11669.49559 9170.259755 10207.61249 9325.409947 9214.487402 8273.673698 10977.48903 9112.082683 7399.528248 8512.63253 7983.05187 8853.705888 8327.484205 9393.592289 8998.608219 8259.74644 9042.498958 9418.957773 8149.736259 7879.384274 10633.69935 9679.229567 9956.253267 11851.86254 10204.97537 10558.86333 11786.92907 10932.43513 11877.45559 13067.06796 12082.74515 11793.8094 11402.4539 11898.00077 12848.99248 11874.49955 13856.25405 13166.84694 12719.40863 11031.59824 9247.154907 10213.30952 11040.54559 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7199.341096 5759.282284 3639.306554 2389.50528 1845.312682 3363.770225 4210.656583 3285.474222 2105.190667 789.5821148 689.0963175 1088.657898 1153.203361 1238.892116 794.1966919 903.7187818 598.2395343 552.4689226 303.9244905 432.3047875 488.7370602 403.2983379 522.2281996 420.3760527 527.1861951 620.024555 523.6482695 525.9624299 539.6373219 1002.149285 1355.886624 1496.754468 1370.517157 1573.197258 2008.226601 3081.77054 5104.233409 6178.226809 7021.317456 8516.755254 8646.141369 7342.507195 7331.472467 7081.379102 6224.286594 5927.817096 6962.854479 6988.333366 5521.605238 6131.98367 4114.79089 3607.111843 3061.241561 1230.513857 1021.057163 687.6025526 457.3429159 349.5455202 344.5070034 279.9192566 431.1497791 1421.324124 2382.438699 3028.606619 3947.04814 5159.979825 5689.708176 6313.433707 5528.497034 5628.265342 6106.670571 7913.989784 7803.350373 8637.948301 9347.060282 8409.81566 8873.978032 6661.139089 6011.947303 4172.385358 3484.628784 2191.587321 1960.678988 1552.808257 1404.851832 1677.242905 1173.273095 902.9111229 534.252837 410.5383266 482.8560438 639.3694244 459.2905625 438.4106542 478.5338262 460.6587419 635.8398259 413.2824107 320.0585401 374.0644825 656.7910722 936.9125181 964.8245234 1312.883034 1282.483135 751.103885 1051.724766 1629.075765 3075.079422 3846.078025 3306.567937 2392.206471 2394.396826 3612.17373 5633.96343 8274.917006 18463.49162 34321.81816 48824.18398 45422.21454 53089.09482 34908.82654 7464.244412 2138.499757 3711.006463 7257.04494 6529.166594 3932.493036 1337.883788 710.1583674 502.2521586 4462.312086 9620.535091 14278.77203 4871.147121 3950.741326 13766.33334 14982.09066 8956.699699 1796.628459 536.025566 501.8082374 537.5101096 1197.077898 2814.342458 5068.540383 7612.203073 15208.55294 16672.75102 12659.31519 8156.523735 6234.562108 3607.82415 1388.803496 965.9127483 607.8092035 306.8510134 578.3941288 696.563566 654.007755 939.7763812 1045.649915 2576.949651 2639.674935 3148.54155 2062.895463 1060.599067 1728.798088 3151.929786 3338.274852 3367.198474 2341.571097 1674.419067 1051.794832 828.4214946 764.7494294 2514.559566 3996.454006 5236.428424 4935.649772 4341.392616 2452.911784 1283.54605 1036.11993 1807.224489 1482.914016 1592.210665 2128.836447 2012.918208 2523.771707 2828.672972 2285.737826 3292.677192 6885.94949 7978.521711 7667.367977 9568.348928 8662.857745 7901.434097 6809.85445 5857.601174 3811.244064 1490.191794 1647.444042 2207.520977 3046.513296 3863.227281 4597.365314 4377.017671 6510.577262 7784.842343 8311.666941 9936.643862 10135.44709 10720.78727 10133.52765 10412.89141 10712.50036 10329.68796 12035.35014 12223.92859 11160.37014 12203.54212 11582.71377 12768.39876 12243.05745 12252.58542 11176.77506 11855.93078 12728.04101 11357.34901 10119.57076 12244.43611 10501.09075 11860.88895 13157.91703 10956.29311 10802.48565 10241.86997 11567.84337 11049.99846 12853.27043 11725.19369 12414.52764 12057.47751 11966.54837 11785.5257 11804.68708 11812.37753 12267.54777 12552.67567 10999.18265 12887.01808 10662.59217 11353.38564 11051.52502 9994.973959 10785.71041 10627.86752 9574.911444 10297.01947 9099.784227 8134.066705 8346.277314 7477.022587 6021.262709 5128.690767 4290.000153 3580.357651 2830.410115 2407.011813 1394.945046 1719.558143 2744.551245 4422.324227 7197.083674 7889.909282 8061.903929 8917.008119 7439.600797 6684.76384 5748.213768 3212.999331 2817.102316 2038.334047 2237.440759 2450.690131 1664.538274 1601.349943 1945.15374 1538.658414 1405.179097 791.5935987 1493.119745 3611.717373 4923.081939 4874.00028 4809.039487 4094.942477 1756.38337 785.5140875 994.300718 992.4135384 1681.068373 2697.697021 3511.807404 3237.169435 2532.557214 2310.858835 846.3847442 1983.42304 2427.692456 2328.97935 2384.101722 966.6693808 564.4213111 532.5764114 840.9450395 615.4113216 317.7656625 479.2157073 581.5832975 1481.228849 3711.733708 5964.429654 8545.755854 13845.60424 15763.51115 14404.85845 7909.766311 4670.756336 3120.081685 1332.572832 531.8719851 430.0868474 479.4471375 1400.713593 8414.42566 14830.26832 14051.82323 4900.97205 4591.909099 11240.25008 11286.42939 5369.795389 1078.029525 284.8301342 1105.001039 3690.210541 6854.479334 8862.531676 5166.424318 2208.934273 7052.371604 21364.20017 55459.60331 47307.78073 55498.77085 46230.33058 24889.25888 11544.88425 6592.227127 4961.737158 2941.051373 1970.125103 2780.741638 3590.263748 3916.915386 2543.032449 1790.539644 859.7453047 895.7336127 1185.965628 1180.81695 1031.742949 868.7860493 714.9079338 481.1343478 648.3560588 539.8763504 528.8458823 572.7276228 454.682615 665.1510164 354.519379 398.4155015 454.4075925 423.5225341 424.5889364 615.6531599 896.3066361 1326.367736 1619.595249 1429.383713 1420.224444 1472.386945 2452.258822 3208.566255 4248.316175 5665.909555 6403.885159 7919.384044 7264.563515 8360.044349 7521.090569 7177.499202 7294.978359 8015.218343 6968.466399 6962.461113 6981.954241 5764.195178 4933.84875 3540.888366 3082.989559 1573.321232 981.5479994 1159.928662 1007.313334 1102.803165 2023.95943 3311.45933 4109.265712 4634.468167 5555.792393 6412.456377 7044.270584 7250.797933 7175.715206 8066.347497 7513.214611 7021.925565 7176.191694 7283.995654 7984.551957 6400.502162 5961.156889 5033.026596 2984.010603 2818.911775 1612.449141 1189.083946 1375.29034 1609.377353 1554.101968 1093.703023 540.2527675 436.0684336 418.3126146 468.793409 385.9439947 563.8040465 388.9931334 345.0061988 427.1822801 463.1497836 504.0288763 560.3967583 444.8377135 599.5703229 845.9009245 1070.040076 1272.325252 1048.79244 735.9052727 791.3707477 1448.885971 3423.39635 3234.331539 3400.751783 2492.987169 1837.72401 3485.850965 4908.906393 5816.395939 11019.56212 29720.43557 47091.23231 51502.60844 43107.15337 46849.25873 26337.07057 4868.136833 1905.78431 5337.066203 7620.120545 6013.893914 3580.40359 1055.526005 396.425785 757.4871987 4504.579936 12700.691 12320.51542 3676.065644 5530.486438 13341.71463 14088.04527 7819.532931 1651.924009 536.2794145 583.4080412 325.9218079 1172.53915 2218.150476 5359.835944 7881.065131 14473.59095 16470.97509 12271.9414 9387.952509 6856.647176 4649.72492 1316.545877 737.8397005 635.1109505 436.6495985 479.3716926 435.7679413 725.8142792 644.9206772 1003.747785 2462.933075 3165.344905 2762.847518 1913.302604 773.5908174 1785.631129 2665.613436 3274.087222 3260.899262 2559.693142 1880.866711 1382.383582 898.6692532 957.4196902 1192.073622 3529.04246 4683.007736 5393.784101 4879.136909 3403.025575 1503.947112 830.4690689 1402.416972 1502.493423 1592.48958 1706.200705 2384.56321 2283.361864 2406.414152 1958.634544 2783.412683 3284.271538 4955.404288 7627.590256 7950.07628 9217.879753 9115.722226 7064.362991 6001.10592 4507.999861 3195.149259 1467.789306 1529.611122 1942.754161 3111.841371 3879.204469 4599.626205 5398.807688 5590.361564 6225.006147 8183.70554 8793.151808 9448.41718 10855.08201 10830.81602 10122.97389 10736.88864 11952.29254 12158.36211 11816.38026 10826.90365 11952.96795 10672.31498 13328.33434 12709.96315 11770.69617 12248.66544 11354.1608 12009.30593 11296.49487 11352.39748 11193.41641 11266.0001 11442.07232 10708.37465 11772.12967 11618.42111 11510.83513 12826.12768 11795.57486 11553.16595 12027.35495 11950.1287 11921.84666 10902.26989 11630.83229 11511.27611 11043.90317 10960.62856 12320.76024 10253.53929 10403.33931 10578.68703 11074.33737 10812.17804 10303.55012 8566.75649 9054.055762 8781.145407 8307.127183 8280.953655 5958.380928 5075.260522 4690.261236 3709.234337 3666.973438 2779.142875 2128.381482 1532.374264 1463.741405 3757.66287 4511.25235 5971.69634 6404.605914 7577.436185 8777.724672 8419.852124 8383.886083 6952.933136 4149.768338 3075.458786 1904.468851 2453.307702 2752.288456 2299.933146 1842.307549 1747.041781 1335.412078 1781.159939 875.5917459 1388.752822 2323.977125 3994.848153 5432.413309 5349.01715 4134.337001 2693.429062 978.7696677 761.9253305 1082.666081 1271.251596 1835.765058 2456.993411 3374.025516 3313.93572 2212.90714 1440.907153 1166.429488 1875.810081 2571.373004 2625.157048 1979.509966 635.252462 565.6005472 634.3798294 425.8909453 438.5207739 588.6095518 492.0365479 681.5350116 1663.448389 4472.491152 6637.50612 8547.011447 13663.74369 16277.28027 14722.08491 8210.258538 5847.716886 3282.964142 1425.874482 490.5549328 566.0098127 508.3373703 1580.315719 5623.535116 16452.94834 14860.46539 6719.687618 3915.363663 10915.17542 14782.3333 6972.070955 1171.70709 667.3686698 695.4040166 2466.380068 5994.205485 7534.167642 5816.584506 2909.845029 2626.742533 17558.16348 39804.41625 50083.42459 47884.28974 52045.50358 37016.88392 16647.26231 7940.658196 5123.974328 4432.20572 2506.346567 2015.235878 2744.383446 4133.546169 3267.650361 2123.455375 1103.278257 757.0041273 980.4622651 1141.942179 1354.116118 1066.087287 916.6137655 602.1030013 613.1401646 544.2002878 369.0001359 428.2460444 478.407935 787.0196252 424.1689786 380.5641982 535.442341 682.6817253 540.0753002 453.8012574 539.5355025 942.6156056 1354.765717 1310.125542 1499.322161 1236.606961 1574.930251 1961.276569 2697.441759 3347.629362 4418.302777 5397.411864 6498.120827 7458.634926 6005.111633 7541.255983 7573.727135 6886.53486 7727.558887 7199.346781 8121.768488 6812.609514 6336.382311 6282.803573 5379.45878 4767.131008 4227.25764 4154.04063 5253.380903 4505.63899 3852.714292 5944.811835 5809.008352 6914.0025 6688.680561 6540.65375 7159.296069 7018.350129 7469.742432 7035.801364 7550.439356 7525.609565 7215.606629 6237.518991 5540.541379 4545.787296 3404.724073 2090.656896 1771.08175 1405.172118 1571.867874 1764.375229 1542.315446 1259.409504 981.7128195 524.4468823 398.1491937 354.9550137 261.3501048 360.3772457 381.3954002 439.9863503 478.5036517 358.9622019 336.6804101 464.6393161 521.8479735 637.5741751 722.6999677 922.8581134 1052.742603 1341.263498 1222.541239 995.282707 630.244908 811.2240487 2373.20952 3878.752461 3861.88722 2957.322826 1744.732826 2266.582875 3516.075139 4536.309628 7209.715194 16793.60023 31762.74598 44789.14443 45000.07859 51274.80642 46296.50516 16989.95462 2914.52015 2666.041572 5352.22134 7363.695477 6027.128309 2505.495201 700.6809373 564.3670649 1411.96291 5980.586417 12749.97699 12174.76447 3136.280528 6102.745788 13498.28976 14717.58306 6487.50427 1297.128508 454.1205192 259.9185183 841.0621355 1442.356775 2672.908467 5170.571762 7986.20163 14837.01864 13701.43916 13561.41505 8160.270617 6371.810988 3770.223346 1580.415807 706.2002835 443.2996386 361.5140626 515.5441063 508.7041896 638.7266161 424.2987376 1212.338696 1993.368858 3078.938688 3015.146211 2525.747869 805.2732636 1803.631825 2548.618959 2502.025589 3628.266501 2729.889086 2015.649874 1395.127483 1136.546161 891.6120633 1119.243868 2878.94882 4370.166798 4395.589431 4965.717644 4511.680197 2462.136815 782.5692089 1208.84666 1438.801423 1755.797779 1297.138101 2226.846131 1804.57431 2334.541359 2190.858533 2106.900945 2771.076918 3883.598265 5683.076137 7165.332848 8991.387337 8775.605631 9262.927553 7602.939481 6595.519549 4223.108333 2596.038709 1704.350661 1980.590937 1984.779112 2751.158606 3378.79049 5066.019867 4283.801028 5937.148726 5891.988496 6619.033268 7586.439228 9172.456706 9502.602379 10109.08282 10304.47908 10460.07627 11133.48919 11517.97541 10576.21229 11073.86136 11763.95667 11901.79126 11059.50092 12153.31727 11559.86067 11535.40582 11998.21641 12083.65771 12097.19019 11113.33772 13389.33955 10249.41286 12275.15543 12222.85083 11608.20307 10577.19762 10699.46995 11337.52126 11962.60026 11717.70829 11601.14192 11445.28953 10418.12542 9896.196737 11250.89313 11196.36974 10300.53591 10469.90914 9885.646019 9959.475584 9703.538252 9948.621126 9751.911916 9896.803465 8325.857011 8809.355724 8377.437316 6247.307103 6468.65417 5371.409409 4774.365569 3236.093712 3040.866334 2589.993512 2051.600681 1542.044572 1748.38905 3107.54842 5402.414285 6929.403156 6252.676758 7407.966368 8417.237478 8390.393601 7106.108646 6142.255726 5038.395623 3271.174861 2789.561098 2467.079655 2346.396043 2594.007942 1947.407157 1663.343484 1626.91493 1405.360528 1343.28056 772.4164657 1025.102589 3492.814537 4086.648007 4382.900848 5739.193145 4045.70331 2027.963733 741.4961016 953.0109398 1068.907575 1532.253387 2057.232724 3005.133527 2736.805078 2632.000692 2774.055043 1571.337514 1387.77825 2340.102595 2708.598447 2511.757762 2031.615686 576.4992215 512.8012305 702.041291 591.0713037 486.8939195 499.3470413 356.1353962 767.8486716 1512.272517 3744.058078 6468.037966 8256.114176 12983.25869 14338.3283 12147.32344 8807.987352 4862.667121 2805.872017 1335.154579 674.0067419 509.0450319 535.6168974 904.7381878 5554.843116 14947.80321 14518.50697 8181.907571 3247.964727 7508.440085 12962.47749 9098.513174 2228.489052 263.2285583 650.1054776 2146.930199 4602.874794 7076.243402 7165.486808 3554.914603 1770.992664 5049.29509 31107.30698 50148.36118 48855.18996 49880.38369 40311.83885 21840.64145 9007.46552 5770.702124 5340.195206 2838.130063 1961.732448 2286.034774 3489.83544 4627.413343 2719.441356 1504.190684 810.6696382 961.7181101 920.3584285 1098.322602 979.5604492 920.1718759 753.6284968 595.2501851 421.1726182 374.1485586 628.1827069 356.1974024 501.3663721 263.7287957 658.2280449 373.0124954 433.2185546 459.8879456 422.8147558 602.0023664 489.3207955 700.6436875 1107.696262 1160.959498 1321.844673 1273.229007 1645.206022 1357.755263 2096.459272 2383.984245 3070.489702 3871.352836 4473.962958 5911.920756 7391.097472 6462.216057 8154.969232 6194.843145 7225.87343 6277.971376 6745.462643 7552.781786 6637.244612 6045.917167 7092.902454 6266.438898 6240.331673 5456.106471 5807.322863 7081.532809 6873.819797 7180.090486 6141.301365 7603.281306 7193.495514 6180.041823 5886.064525 6840.014949 6330.931643 6087.841931 6061.223552 4558.064843 3838.736413 3692.142315 2863.272892 2504.742317 1390.359597 1343.956615 1169.835065 1391.847424 1286.236926 1349.781958 537.6383092 417.9427476 549.018737 377.1899588 311.0310289 449.4006523 593.1705893 559.8228575 418.030085 478.2975373 521.9209446 441.1154621 577.1917209 293.4758605 666.359124 751.3636178 1109.060713 961.2028896 1013.636409 969.2610758 849.1599761 1237.836313 1605.056914 2793.034799 3830.788668 3975.239929 2464.502302 2174.767923 2767.677258 4025.035637 5945.793633 9912.260011 24894.30162 45110.21233 57378.70753 46340.99309 40101.30729 30638.22454 7361.319362 1652.481913 3277.696228 6857.975456 7068.006313 4331.693145 1726.630887 964.5211262 691.84591 1533.758388 7967.597586 12327.27452 7747.516589 3434.878428 8870.64056 15451.51388 14360.54972 4798.749074 1182.691067 446.9319732 404.6592272 461.7809067 1213.703554 2897.540568 5121.412788 8243.752884 15329.62688 15262.02704 12048.3098 8283.188099 6837.606583 5234.370337 1655.582471 864.2243037 602.7579331 277.3931465 490.1177103 849.1949956 710.3734035 734.8279167 664.8149851 1404.035696 2586.707903 3038.845226 2380.365602 1327.432656 1465.303583 2131.172531 2847.273996 3554.936574 2931.586044 2306.701551 1570.180268 1018.06547 920.8547291 774.3476636 1683.759052 3382.268771 4563.386401 4394.365277 4344.529615 3407.335892 1153.756228 831.2472687 1694.327638 1872.760604 1415.562385 1352.118131 2166.954866 2679.000126 2192.215468 2528.065632 3224.195107 3712.217894 3968.617386 6516.482914 7140.98468 10117.74369 8055.663773 8410.86192 7490.501574 6335.39821 5217.566328 2604.872672 2000.18895 1531.126727 2184.510636 2939.460763 3388.856812 3619.96379 4317.771661 4359.58935 6246.507917 6363.154979 7744.715811 7577.590584 8885.492987 9400.525797 9379.909376 11188.94968 9153.712442 10229.24864 10366.05989 9675.809849 9674.104231 10309.19274 9835.003393 10278.80923 10337.78588 10847.19069 10973.17072 11277.60006 10933.22056 10645.84113 11892.27636 11977.89337 11688.50713 11074.05928 9833.221439 11099.61 12753.48878 10992.97109 11030.25033 10705.11016 11652.22759 10338.66489 9889.790243 9991.26716 10467.86065 10086.81055 9365.075391 8816.599221 10296.55821 10014.62718 8243.501197 8894.478955 7631.742987 7978.470973 6389.338343 5905.784868 5828.443598 5349.38004 4385.233612 3743.83545 2789.342506 2372.941258 1938.474927 2093.089516 2369.53918 3211.405968 4658.570238 6902.950122 7885.080588 6995.543454 8365.713219 7669.824757 7371.42747 5901.572974 4900.041254 3428.497155 2741.98264 2060.849834 2487.472939 2125.1563 1682.098177 1611.564789 1347.11044 1414.429463 1409.294373 869.4544268 1238.726145 2164.731106 4332.805324 4385.446507 4829.196099 4449.398286 3649.502969 1527.399744 805.8460659 730.0581606 1141.515759 1792.957619 2498.1849 3466.279337 3316.047696 2544.485808 1885.328808 956.9125931 1397.150258 2116.352031 2716.039462 2429.457024 1142.363325 810.8181109 671.4651738 650.0867515 479.0039557 569.290946 417.7487586 305.8076986 824.3434467 1594.31563 3880.599123 6398.120575 7571.534107 13182.9165 14493.19915 15079.92676 8398.606099 5028.4412 3191.75471 1255.522691 733.5472145 386.4552569 438.7711785 1097.990594 4286.408385 11158.2018 13243.01273 7871.175653 3053.448931 5874.661451 13034.91987 9630.200204 3061.686529 452.4842407 668.9377777 1407.97022 3119.288073 6295.420895 7248.196273 5687.986556 1734.964966 7150.519519 26876.25129 41114.91754 51053.75553 48076.78697 46834.85836 32697.08787 17186.66828 6564.615708 5868.281022 3676.875246 2495.857198 2308.820741 2643.013888 3903.843064 3478.27885 2631.443234 1384.304637 1046.329309 1106.257275 1026.771384 1233.665772 931.8120916 749.6454376 825.5795429 552.2189341 455.0965975 783.5033975 532.0772113 499.7799571 602.4474135 437.1531147 495.3769719 444.3372948 296.6409466 377.7934685 236.9998184 473.7487791 419.5320003 815.3713606 762.2120662 987.2073784 1455.337197 1217.025009 1414.631223 1384.375441 1230.14293 1749.895594 2084.670203 3051.633036 3861.152667 3695.978349 4553.474683 5310.750617 7604.419217 5612.900203 6969.505216 6226.777927 6986.353728 7114.023912 6107.38549 6964.310909 5514.713257 5920.582012 7154.986766 6748.232427 6895.098328 7406.590742 6253.380302 6696.917853 7264.155009 7657.367791 6125.573526 5906.338693 5316.681901 4089.274201 3266.354061 3356.165745 2700.50642 2231.398562 1362.333887 1397.879962 1492.500132 1489.035581 1412.2588 1237.165996 1087.284359 691.6949445 615.2346629 551.2909614 526.6490279 338.4540511 561.0508907 473.6714209 600.3249298 272.8585809 403.6309559 573.640243 428.4543796 453.960437 337.4582109 454.7325896 690.9578608 749.5922242 740.0847101 1018.05596 1259.100423 905.5908279 894.64458 1043.891375 1461.058425 2630.429421 3449.262393 3281.56028 2649.890018 2520.049248 2765.770883 3975.397588 6100.819182 6706.06885 14266.56579 30394.20926 35709.01538 52491.61449 47439.41392 37406.60747 15997.09922 2731.895733 2260.488616 4681.980995 7841.707817 4903.89606 3494.562579 1355.069357 502.2680972 376.6084669 3226.016337 9077.537741 13812.84544 7094.10202 2842.525638 6990.178227 14965.09335 11517.10711 4808.501866 677.3064606 305.6604478 547.0295709 608.600989 1275.945068 3203.796469 4853.321189 7806.487722 13673.55605 15909.08284 13260.84148 8470.568455 5343.248067 4174.631802 1479.036281 850.4723187 243.7439081 500.1993867 407.2408663 664.3745711 397.3629732 694.8344602 607.8142888 1384.97096 2470.024055 2861.843858 2274.585999 1834.938443 1263.519773 1931.462196 2469.088844 2899.280522 2808.822859 2221.438612 1639.446324 945.7400803 802.2612757 722.3061691 1294.917396 3407.259136 4532.550446 5187.133778 5010.877362 3863.509068 2479.668634 1057.227444 1136.068387 1571.753473 1536.877761 1331.71713 1349.30861 2014.863938 2233.316143 2438.770115 2665.016643 2340.476732 3231.323093 4127.600234 6886.628557 7747.653252 9470.521323 8895.983659 7359.659287 6962.644595 6551.391991 4961.11398 3071.253262 2008.035527 1569.735864 1820.208252 2464.859712 2504.590633 3831.034171 3887.792641 4858.444639 4679.150909 5925.551905 7381.328433 7123.941163 7686.681233 8044.348531 8936.403946 9218.938696 9021.805847 10123.94916 9888.99981 10059.98121 10151.24472 9242.953272 9797.748446 10712.8815 11810.92361 10470.16292 11376.04939 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612.5801932 388.434864 467.2496173 354.9558636 985.7320731 1540.614728 3723.60627 6035.414588 7581.948651 13985.70046 13705.76933 12882.91339 8336.908583 4883.716842 3348.84079 1547.406293 454.1645216 616.3082923 272.8146681 641.0765692 3651.279589 10226.2464 15040.37325 9973.125277 3225.594879 5464.388819 10670.97085 9006.110261 4210.519288 541.9813896 413.5720668 1005.3837 1863.565157 5325.12578 7902.597695 5594.032569 2741.952068 1505.877621 11393.21132 31853.19385 42138.47165 47485.36115 48575.49543 42695.89323 21266.15893 10060.30452 5673.662215 4992.344671 2775.886283 2247.34204 2098.879318 2532.35504 3374.864861 3313.970147 2279.561733 1322.239616 712.4391475 1089.394125 1244.390498 1177.034501 994.6175441 728.1686155 708.4253614 488.8993912 540.8396415 316.0725718 700.2140401 504.6509219 354.2616797 358.8590424 280.3437096 290.4337075 276.1951978 395.258408 370.5189856 470.1104041 442.1954032 315.2309667 533.2560774 964.5712462 1254.186121 1163.828194 1210.050001 1331.409599 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6114.322754 2563.753964 967.3833302 628.0833407 651.4459152 6033.417093 10849.23768 7953.154506 5201.172132 2844.819222 9316.632851 16526.35799 11626.74893 3419.515986 800.7505029 699.7299253 349.235786 721.4166334 1447.486713 2733.121137 4883.970577 7782.549516 14755.29009 15537.95561 13209.35326 7451.677739 5466.331074 3875.72459 1930.388279 746.1703465 471.6977801 322.1709151 436.1874522 735.1003583 595.1681768 590.2442974 499.9019981 1217.566094 2287.986583 2481.428933 2874.507946 2135.227964 1062.054571 1645.214896 2459.385134 3191.0908 3261.681903 2865.728925 2003.183886 1385.659314 756.3303864 698.7622742 848.2010597 1664.664315 3568.911128 4408.179852 5096.205473 3441.359282 3673.502878 2000.973274 1159.610826 1082.800051 1400.355621 1159.306815 1372.581162 1376.382316 2248.025871 2049.27647 2441.193414 2281.809776 2474.603132 3678.135878 5530.732838 6500.259866 9151.896634 8038.301819 8453.968904 8918.585976 7173.200763 6341.179548 5056.8108 3641.635978 2146.873162 1522.112113 1254.63926 1809.762495 2643.11376 2804.852635 3834.229788 3725.375513 4472.788219 5015.880503 5326.382713 6015.662751 7018.685292 6576.949852 8267.738294 8502.470202 9249.341977 9478.784678 8759.137255 8758.319692 9520.766702 9784.400046 9056.889334 10329.81234 9399.707509 10176.9427 9023.037919 11058.60934 10906.65268 10521.1462 9501.21899 10446.57283 8831.818454 9919.984007 9474.026939 9461.591555 9228.52323 10038.96885 8449.291239 8056.897096 9405.583605 9117.173575 8339.975248 8100.341164 7392.260077 7487.604426 6458.796797 6459.365126 6261.124149 5576.206744 5344.794363 3605.477663 3839.635589 4052.504948 3122.545649 2324.900354 2093.484683 1753.652352 1569.783856 2228.805328 1849.157673 4975.717019 5303.788531 6816.817622 7102.174118 6205.478623 8177.878053 8124.754352 6693.757767 6468.242255 4430.20773 3162.94841 3097.248111 2018.955883 2445.543887 2189.335126 2070.41181 1737.532374 1624.175496 1238.545196 1531.686185 1099.593439 982.2054737 1054.943547 3011.508892 4336.769394 4024.495662 4180.675868 4010.617685 2318.129538 1392.343487 764.0400429 1015.810779 1117.701539 1583.710234 2359.010572 3007.47345 3309.05348 2667.683964 2425.774781 1097.203981 1020.47443 2011.874781 2581.18488 2550.029751 1892.287282 1206.610859 763.9375037 511.0484642 422.0308814 564.1200786 327.7695121 449.322756 496.3913678 1163.602793 1538.955646 4360.969955 5629.460134 8902.751122 11876.49387 15320.57094 13240.64296 8231.552475 5160.531911 3141.731727 1476.13433 638.3342626 364.7525868 624.175283 592.5266405 2482.050663 11275.13232 14274.56997 11696.53641 4154.866061 3448.0005 9341.882574 10417.03485 7129.868228 1406.043363 432.8361712 722.0874058 1816.856952 4287.375919 7198.621401 6226.08265 3743.463618 1485.407836 4390.305491 16915.20643 40136.30971 41336.75614 45046.05067 37607.06861 33774.31754 18047.93748 7311.14438 4992.415148 3680.085549 2742.593842 1871.00488 2357.668834 3325.543123 3754.650518 3461.678625 2298.100527 1284.820579 803.9731862 782.6049097 948.4745309 1188.111789 1157.310881 989.0170004 562.4682704 512.6277329 613.2755202 405.7737436 295.1393425 343.4217279 588.8186536 450.492729 342.0931483 432.8347736 536.8119921 361.0872371 520.4015269 481.5255784 505.2682993 436.057438 429.1339415 477.88566 1039.554536 875.8569881 967.9955521 1426.893469 1375.060302 1367.573304 1317.554456 1413.7265 1320.616984 1416.211333 1612.740933 1976.041614 2065.39749 2705.095348 2697.551432 3182.89002 2835.22066 2777.693294 3644.663621 2798.166824 2953.829342 3463.060201 3202.328341 3098.731305 2828.01299 2773.766615 2583.541868 2157.887188 2054.387236 1530.196697 1445.697717 1166.007435 1276.181783 1235.306362 1251.491855 1242.835729 1252.165287 1401.605368 1012.296371 708.8823202 577.7810869 391.3159124 399.5007391 296.0625774 492.5682969 435.6700004 571.5972158 366.9131576 443.8837023 497.4492848 464.709711 401.2514777 465.0493611 401.8453267 476.4018383 377.2308553 647.2275917 878.192116 1003.528926 912.6782612 1169.646108 865.6323596 711.4010986 788.846329 1028.788126 1584.625284 3328.314547 3011.951405 3349.114607 2235.176589 2123.310959 2572.37202 4126.045538 5378.923434 6617.971385 15445.06503 28909.14952 44180.4661 44653.64996 52395.7748 43957.17752 26267.18363 5466.377967 2468.469547 3895.680344 6103.983593 6661.948349 4670.60197 1712.496443 794.509778 412.3919124 1413.396997 6043.021136 11078.72369 11201.69672 4394.409127 4340.903046 11784.65443 15279.90255 11340.46895 2607.55654 635.4322454 308.0134723 525.01669 748.4652865 1694.921662 3399.088456 4968.421689 8138.295302 13640.49179 13800.22181 13063.49157 7311.639803 6201.130762 5225.042583 1684.516487 1154.67709 444.6986382 519.4836666 461.5094341 709.3810833 413.2381595 659.6030096 545.5762248 803.7386971 1797.519801 2672.597638 2369.636834 2231.715758 976.8473836 1120.480365 2402.261958 2233.611907 2919.730757 3060.758571 1956.448551 1845.817435 994.6523595 802.1386711 827.0034559 1059.536991 3111.084476 5132.253942 4560.383633 4695.039504 3701.088625 2278.611793 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8257.959535 5199.298909 2469.138886 4540.89151 16263.69545 35961.8141 40483.57581 45744.09193 46249.54424 33119.14143 23437.03359 10859.59075 5519.86729 3952.203832 3712.279865 2318.363646 1779.547279 2373.767632 3442.363254 3065.174775 3030.440526 1855.478199 1093.777413 799.7328275 757.7310378 875.9020289 1194.311305 859.9575337 1015.621363 862.8350247 438.8487581 399.0731167 629.4577916 328.8938656 281.1498244 428.6814273 254.8806863 345.7528163 377.6963768 364.7106559 428.17541 354.4931552 338.083428 512.9259118 495.3385664 280.5588713 369.4975445 515.0559848 670.6607605 819.0657239 980.8978604 1369.156153 1259.771828 1433.725327 1182.273643 1495.534044 1286.656989 1255.18899 1123.927927 1395.360494 1316.428604 1194.2602 1888.080218 1767.746409 1538.74596 1243.849432 1421.011167 1522.122728 1621.344371 1563.206645 1261.520131 1282.89127 1250.126671 1106.01098 1325.226593 1301.589739 1332.36192 1235.2977 1492.727216 1023.603698 1012.796087 1113.855369 854.0736734 453.1023978 552.6045339 440.6779116 386.731767 390.4480996 269.4062325 432.9031644 234.5251323 339.9923532 224.7236759 345.8799464 327.3344421 185.0795938 312.3776895 330.2354363 569.0158898 301.0745028 450.4169443 714.1417349 666.7957769 812.6114445 845.0702301 774.742719 1054.353103 862.4453347 754.1708906 1036.812247 1731.477869 3213.792528 3350.305231 2924.406405 2859.814046 2337.288748 2336.689971 3152.64938 4539.347528 6932.059295 11993.60606 30178.09579 32256.03095 41341.42944 52573.39574 44568.64166 38242.48896 11629.54749 2148.58662 2782.378158 4461.757394 6560.421202 5786.411964 3483.252239 1632.21065 697.080045 738.3357151 3214.30969 8092.925222 11303.02598 7720.959126 2996.359395 5709.755649 10878.76545 13077.71676 8169.647912 1989.687797 421.9016481 400.1196631 209.5941494 549.4195724 1748.112697 3317.72638 4349.635056 8177.530067 12652.542 15718.26686 12503.50418 8949.852769 6065.325111 4988.977647 2311.170748 990.9887814 665.6551981 408.7767659 773.7696573 516.4779838 695.6472749 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337.1148354 642.2580265 4317.744527 9980.564383 13214.56904 9077.245428 4613.891009 2488.954708 7027.678912 11859.54967 7831.139154 2772.087411 474.2147915 372.6212989 1028.771645 1687.923923 4739.717249 4844.865724 5606.346835 3952.282164 2069.20889 5342.839515 15096.98834 20899.23091 36100.3769 29555.86785 43061.92296 34519.11594 33820.06779 18279.91137 8112.648401 5739.513038 4743.776134 3093.062561 2664.033633 1619.774046 2318.94041 2715.404905 3201.641249 2926.13892 2473.841699 2105.137985 1335.481209 845.9875241 678.0778636 718.1138797 864.3676004 819.1192834 778.2793299 910.2638822 670.7713402 657.7167882 538.5909463 334.8547019 341.4719217 354.1070714 264.8880736 351.930717 329.9734377 348.006287 401.9447609 412.8846512 327.3742564 613.6003141 521.6323472 413.7541188 279.840951 142.6938063 346.863333 340.8248651 310.9994185 358.5605524 227.5704096 504.5480003 300.1481902 574.8549185 260.2593665 205.6519118 564.3815064 345.5024056 251.0278971 343.9259996 216.1292872 572.5412362 458.7770258 305.8136369 547.8048972 484.1665673 379.0764964 348.7667725 301.7530973 456.2243808 391.9059786 329.44642 287.8851936 348.7703242 334.6600663 377.5249857 446.578596 324.7107149 445.912206 337.4488058 285.0702955 397.0632637 346.2389905 269.6680449 337.3445615 279.0840012 260.812118 343.3376305 466.7698234 554.0373198 663.3274702 868.3386141 813.1058483 1013.907616 882.9764652 989.8920769 798.2138261 710.4048344 778.9326169 1063.242495 2119.890605 2720.487165 2449.52422 2535.616877 2612.964322 2146.84128 2036.83086 2536.99514 2759.756551 4266.445906 5995.200889 12300.64888 19986.84923 31920.45887 38140.3578 42447.67164 41945.87538 33413.92246 22480.36125 10281.95983 4278.262772 2285.660461 4269.423578 5408.823885 5755.905669 4114.556134 1688.571824 642.1135305 611.7959969 778.6049054 2181.502518 7399.222747 11120.4964 6960.146905 2247.575126 4017.095228 10341.94771 11952.78481 8031.61024 3154.938901 872.4011929 349.6568947 402.9810195 274.5079504 746.6898347 1674.595528 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615.5525274 585.563297 432.0630398 433.4660532 371.6520594 487.3193136 546.9680263 631.5889862 835.2735795 605.6671188 687.3058497 1095.343105 1592.849299 1703.419432 2157.549874 1991.943812 2483.248762 2923.046831 2246.048632 2603.811999 2443.202249 2813.455972 2361.501153 2323.996567 2552.251781 2508.187607 1879.294483 1471.146889 1811.630539 1462.697084 1631.688621 1630.217987 1879.923203 1140.816856 1367.875017 1003.008485 1114.082263 1938.449443 1821.311248 1055.987333 2251.360632 2139.630954 2122.79962 2029.41518 2316.090176 1799.241156 2234.664193 2273.93479 2114.533858 1943.848378 2134.621769 2487.394043 2277.10356 2466.368264 2374.149514 2834.685507 2236.064749 2069.444023 2004.823265 1845.363672 1479.429704 1656.393699 1731.194471 1389.719631 1400.206151 1403.38512 852.5179733 841.0433611 283.8884159 705.0291081 456.7869031 372.7051689 261.2170788 479.8087285 395.5148182 420.8323479 498.0993628 562.8551839 812.2282304 908.4614896 960.9020219 944.7218154 1312.857531 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1122.319802 1598.656118 1763.959088 1650.328403 2208.801229 2792.270591 2235.882466 2144.347599 1905.829556 1597.932679 1765.066171 1215.617054 1326.939765 821.3821649 759.1702054 1111.886244 2697.946112 4085.045545 4905.309119 5134.297844 6667.012667 8007.810235 8722.907023 11127.13418 11457.39177 10992.30517 11028.05829 13479.99285 15802.85948 12637.31179 13285.89 15739.99818 11924.06113 16214.52264 13801.64804 16492.20538 16126.75642 16832.92708 15853.43656 18127.21792 16004.90623 16792.75222 18345.19375 17299.44876 13129.64804 14707.17422 16607.44532 19555.66854 12587.5339 19004.38049 14074.86437 15746.95839 15611.10265 18403.28801 15964.90602 13445.29456 15953.13829 16198.85302 15383.47988 11430.89188 14732.22924 13707.66328 13448.07005 9045.972152 7441.738378 9034.297747 6827.171989 5986.368863 5015.158376 5397.725721 3791.632989 2698.594016 929.5957208 773.6529739 1414.901981 1561.056276 1276.627586 1622.341722 2051.454938 2478.014145 2288.601056 2121.495394 2174.086984 2031.679455 1923.982852 1658.240113 1515.905603 1256.234964 661.6272797 581.3310413 438.2522681 227.5109815 173.5086512 163.5044182 139.8302207 465.0096973 1131.157439 1864.444464 2965.836535 3469.670647 3750.394538 4036.475876 2981.40281 1943.945237 1041.392223 1024.742646 1619.032318 2652.800423 3044.830767 4672.336624 5686.257079 4322.658425 4600.318256 3505.005712 1379.730314 682.9411002 337.1173373 157.682109 218.1337591 251.2923872 130.5932736 147.9389003 353.8810106 210.553299 494.6140684 587.2092268 952.2800009 1374.57411 1681.206639 1783.113639 2101.763196 3072.691574 4229.734537 4922.866725 5785.852564 4906.009543 4897.641363 4372.19294 3817.72949 2000.231402 2678.045107 2355.149627 2062.360946 1488.161298 783.1526301 698.9039992 324.1495566 255.1779238 240.0338978 80.19141427 148.4862748 133.7089624 156.7618374 198.0632872 192.6984941 194.1245853 164.2299345 268.9154582 254.8341215 210.7547925 229.5568978 279.9286224 210.6862845 226.4579452 507.6807827 786.4335967 905.7717964 1010.07619 935.5022741 989.3325035 946.8346259 918.1816732 901.8231869 645.7462728 448.5126301 332.7823129 475.875274 407.5225533 647.3927611 767.3947675 1082.621063 987.0553567 1130.867183 1099.212404 1044.199925 1328.600051 1244.397329 997.8806378 1511.28833 923.3225364 965.7693293 1017.640782 725.7795255 794.7991923 784.6698544 558.8975621 469.3862887 511.4802873 491.64566 396.8900091 415.2262819 324.9042532 343.0852536 401.6568233 358.0591525 354.071485 318.4436407 153.6012505 278.0887403 371.3884204 438.8549653 441.3088426 308.1337371 565.5269976 357.062875 382.2788771 782.9022585 640.96271 647.2051784 659.3602922 648.3470895 556.2712053 595.1763606 530.1960168 228.1292125 255.9630983 229.7237522 277.4413593 226.8189718 223.0439538 267.511579 221.0952176 181.517994 263.9598794 319.0972929 374.8601989 562.3891803 336.0515133 366.0642211 358.8499939 399.4405621 466.3650532 425.7260256 353.061207 304.5215056 701.1819753 387.9738845 431.3406299 687.5318126 688.3295989 644.2987701 791.2880288 929.2770106 833.6743812 875.5487053 1184.798283 1111.204887 1177.308339 1325.775621 1228.956972 1435.885581 1084.82268 1012.670995 814.1656259 779.4883098 712.8463795 475.5278086 621.869291 433.5000755 407.657921 336.1983218 406.9284957 584.8723067 883.7423039 844.5287268 1276.10338 940.0449548 1083.457359 912.3014065 797.05306 716.7016225 748.6691164 321.5189699 369.4870818 269.2515081 313.8664443 204.6124279 119.2492558 207.0027521 251.1948925 221.3187677 220.6116184 27.28799376 110.2074067 144.2159247 263.4565607 103.2182168 221.2210735 137.7013671 213.5077705 292.6267652 410.8440957 705.3820321 1053.219314 1100.995482 2389.732969 1944.574966 2643.11714 2817.253332 4136.104236 3935.024167 4191.559715 4506.938314 5334.490371 6170.705868 4998.787292 3623.816299 2567.672912 1613.473824 1715.545954 1490.609277 986.5270482 760.3732975 455.254593 299.0960993 120.2031268 257.9708819 122.1589759 114.0507187 88.52571519 160.0308029 293.3500102 338.4666565 1009.686503 2266.966897 2742.447942 4066.883275 5824.117548 5197.245591 3895.960522 4033.638977 2098.848516 1638.252324 1121.877905 1479.205272 2445.020928 2834.036346 3320.566359 3604.208256 4802.729407 2966.041866 2400.001749 1854.484743 787.308774 548.0248637 294.5463351 254.3478636 224.3428218 142.6893145 347.4003607 326.0518698 860.1866328 876.1407864 872.4754178 1302.202082 1815.746892 2111.713386 2524.02983 2695.180259 2469.072127 2065.909094 2142.152956 2160.391702 1675.933655 1685.927913 1144.863251 1264.104667 1128.146503 1141.372565 1464.956406 850.7748605 3021.122943 1759.303611 3540.441034 5880.362366 5079.106064 8990.392428 7417.960856 6775.729449 5824.517219 6836.601331 6150.885659 8449.11871 10284.68687 10481.01421 8747.197685 10800.01209 8974.484719 9664.175282 10994.13204 10735.58449 9807.238054 12297.29521 9709.89037 12139.70326 11339.7337 11653.18413 13522.33083 10859.7957 10137.82976 8756.696412 8012.636898 9936.039898 8505.819343 7680.967647 9883.645153 8272.636634 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289.212311 435.5004979 429.7652477 282.2029888 365.8082486 445.1609967 562.3497461 365.1404986 347.4755109 458.7696507 335.3968226 481.3495548 464.3796371 314.716286 597.9551393 504.1830419 456.1456857 776.7147143 645.337148 569.9877582 707.9501608 749.2279741 778.9544627 864.6275822 788.2973873 1023.49126 976.7284367 1089.581219 1009.255961 1181.903436 934.6705844 1247.377459 1015.501049 1034.720723 1158.700718 1028.619655 793.6963585 759.2278986 600.7773125 631.3572856 489.9870851 268.6764093 331.4817211 306.0375494 616.5809589 605.6515077 972.9118582 820.3352049 1030.509582 837.8843555 1102.187588 855.9872679 676.1482567 629.6057231 708.9607075 363.0035528 280.8722402 175.5452392 362.3797051 272.5502986 193.6129242 233.550045 208.1132882 177.2445058 118.6878717 291.6528317 145.4029038 139.9285075 38.14975261 154.3288175 184.497296 318.0464851 76.19828376 201.151846 311.2331936 337.7118546 621.3641975 661.2857205 1555.692775 1840.763426 1865.664958 2037.903321 2324.779373 2817.150519 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1627.439829 2405.207218 2654.019665 3514.6353 2821.811911 2531.578534 2706.595347 1990.146533 1787.426173 1254.662858 1059.724995 1382.160299 2279.031366 2519.653697 3731.659461 5530.797648 3949.481097 4336.591345 2477.918306 2172.76091 1342.660039 968.9810315 521.906055 179.4341251 20.88043488 192.426074 39.33558633 94.09288304 109.0465478 123.6191817 161.2825081 142.7393073 399.8291542 411.3368544 800.2320769 1013.324815 1081.325816 1781.456587 2278.940877 1909.845005 3700.78742 4023.846004 4257.096404 4603.799942 4778.05698 4582.080243 4218.750839 3308.08525 2531.636911 1735.507082 2310.991572 2159.801627 1816.037932 1379.051035 555.9409278 609.9501697 353.2015291 258.9266667 170.919398 174.3041273 96.5428046 163.3658297 172.1913106 89.03348543 188.5505996 155.6832896 225.2142144 164.382055 178.5206515 325.8286981 154.1383487 195.0176784 176.6123635 326.0257063 162.0569063 130.3199005 112.3403482 247.2728777 561.8389756 517.6477439 665.5987864 978.2982584 577.9502288 678.3711357 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107.2356164 55.1099466 125.450044 12.92842821 40.82465929 7.09174966 24.91890105 68.16088489 1.846069717 10.43366869 85.98539035 35.42170769 0.9580974903 0 19.11935365 0 0 7.628326226 0 20.16150729 102.9682303 27.94368317 105.5835328 30.17957073 35.13508234 38.28877714 21.53538868 10.08839308 37.47791772 10.01239506 4.222825641 52.46266028 116.9902914 42.35245269 93.08464685 162.8251038 38.56478676 114.3642739 55.26882202 141.9390321 84.04027068 137.3341148 130.2544716 108.4925694 99.37856146 110.7234468 337.2684916 285.8601287 246.8192402 471.9661451 680.0008102 663.0323535 526.0122508 349.5113355 482.7628962 579.2414943 672.0434836 331.1647496 386.5192117 816.6578473 804.4109321 567.2312011 944.3486465 941.3314715 740.194862 1007.027582 1367.162251 895.5691652 1062.09278 994.8215768 1205.506208 1141.997586 1158.113764 1314.700033 927.330883 1355.196251 928.6963415 834.4606315 929.2157855 593.543812 731.9853027 495.315386 637.5730494 521.076803 430.8091344 589.363572 335.3720357 391.2727595 482.3022761 384.6672803 362.4617896 382.9378619 223.0479038 272.1551626 292.3879573 118.6364166 90.27658131 177.9873307 80.93810759 153.0210272 140.0340704 68.14651973 59.49085596 38.48506757 33.87886493 27.72339773 22.80988248 53.81831989 26.4111415 35.4758331 64.21382912 57.7707205 30.92572835 26.38055331 70.21020991 24.65186966 43.9011703 0 43.77198046 46.32470491 4.965054673 17.33625889 6.763300819 48.15646781 75.88717514 79.31215281 78.97041788 52.804897 28.99801679 105.0163245 46.05470676 131.8865101 70.39648278 14.5279636 140.9258159 151.2504462 442.0359312 315.8476347 385.1209256 222.7270183 470.7084701 206.4769074 288.3759272 347.5202885 336.8627855 450.2595751 592.0076938 374.3983572 595.0810577 426.3515869 626.2890399 489.4201511 917.6991596 737.7947878 760.9177894 490.9560872 690.8883934 710.0030733 698.7758665 937.4114645 638.4305169 712.6058463 966.8354714 554.9863831 492.021237 591.847397 573.2551407 715.1962199 698.7363179 563.6783175 785.5518869 849.8505863 297.783386 744.2082917 917.6335634 597.7533344 588.5465799 810.4604455 567.768465 599.1194467 755.4665607 386.5477539 758.7202737 351.942775 542.7343759 336.1798691 245.1657642 144.5927458 176.175271 377.6949806 132.7935704 270.5403185 284.4321503 288.3159246 315.6921893 220.5431212 178.0285564 129.4606147 121.7017702 157.5138001 32.63018927 14.94628408 0 10.69165565 16.61953842 13.03458748 23.62436388 39.77408747 3.408143378 3.444141577 38.59330746 36.59144798 6.785739561 43.80586176 46.65629155 59.39375567 50.37505707 17.28272022 38.59585508 0 64.40594661 64.03305262 37.52965375 128.0961347 19.31111779 48.13275106 56.44284243 71.59039055 115.4336387 70.91257196 156.6085812 179.2321127 91.33386077 181.1079358 251.6962047 234.1208595 253.6870085 361.8458595 265.2145487 381.6068062 441.2821883 415.537075 280.1887787 304.499902 418.1929431 487.5100063 484.3902844 726.313133 782.8019768 699.7786733 730.1185211 1201.185805 1121.265862 1188.957847 1451.215466 1077.378949 723.7640433 1253.279095 1376.959771 1483.445447 839.5294738 1249.126388 1057.587814 1166.775728 983.7457024 601.5297248 772.1488335 784.367555 822.0768696 831.1600814 679.0163567 799.9800664 606.307409 322.8554913 474.8609914 180.7267082 563.1932226 470.9501884 402.3801521 434.1988417 582.657672 240.829028 286.279683 237.3163833 259.7294146 214.5072204 196.8612536 185.7340174 225.2833948 81.68278331 109.8757993 176.9714224 104.3934201 79.84838417 26.32939873 103.1897197 82.49793489 55.16990459 35.92670262 30.43104446 29.82720788 59.98035598 18.51829693 0 4.554627657 34.01247499 3.117166764 25.60416214 9.094864315 40.345079 8.521430441 23.58328541 0.82928875 60.33793335 108.4483764 59.72839217 83.51182382 12.07347769 0.9329543503 48.07816588 90.72196161 24.60991107 46.13872133 29.74744659 53.99729986 54.78580485 9.243654685 5.787464004 88.30745033 23.07466004 4.457959639 7.259395676 69.95135925 54.66038681 42.93822989 60.27585555 3.744137243 78.84460389 53.45378142 72.85307614 71.80545712 15.84508302 6.503397523 105.213428 23.20638879 72.03286208 20.28285484 49.61926389 10.98375626 2.880393545 37.18755426 25.44136205 24.22210199 20.76045808 78.08547028 29.63813152 2.152995605 4.314708009 11.71844542 0 14.60579118 25.93829998 45.01395262 0.3307253454 22.19326997 50.6032779 0 34.7006792 9.647124739 53.00864287 50.08017454 22.54193089 31.61092552 0.8330676994 15.53350254 84.64635939 17.55462147 13.32656147 46.56565927 12.66236817 51.65663291 0 17.68630681 55.98636747 41.66467048 25.40402474 66.28824876 49.21047669 37.76552882 57.74671444 91.59315962 41.91641141 115.5454219 62.93260371 146.5131102 85.11575561 78.64668463 62.93252832 182.5904227 61.4614418 141.3174377 282.9141286 345.209788 143.5260868 165.7284135 291.0335833 305.147326 499.3332842 531.4880397 351.6218818 637.1978899 501.5760315 455.7470841 421.2606747 558.2635951 478.6689701 309.4471476 539.2129548 740.323583 774.4845556 430.9964203 727.5507454 696.5459995 690.6880148 695.2371504 600.1993741 580.5897803 767.3656707 823.7578938 691.1543891 594.4147498 1083.781155 849.5164374 845.8243078 1182.586235 771.3176546 995.523598 629.0495771 668.0335319 577.853982 644.5548036 709.4830222 692.8194712 415.5767497 410.0198229 451.6110369 422.8750264 332.819861 280.5145487 349.13698 314.1221136 367.9790332 277.444604 202.040267 236.5039069 181.2192058 192.7907159 151.6344368 110.1736874 132.632184 138.3311256 124.7805003 111.7905769 65.05354338 87.66141812 26.37228179 40.81494283 48.33150627 75.27894546 25.40446096 12.1776427 21.78986774 73.32057985 26.21216112 50.33593336 76.70832655 20.5267889 31.47266372 41.38481418 4.834681259 46.35788313 10.45374153 24.84842013 3.114283486 13.55970884 41.73683242 6.463003743 38.40118402 56.05514203 69.55865428 11.69218815 41.40788686 13.1446558 16.08748515 70.21053154 37.49856429 109.69502 65.06780553 79.18271149 48.35056183 32.97068433 54.41728858 2.847288837 126.4317659 169.0872171 51.36081807 25.68771339 133.6020008 27.23806323 133.2333004 43.70691375 142.733368 28.50749168 203.0607078 25.32697918 27.0118864 149.4887086 157.3378864 89.58326842 69.10453297 162.7384594 182.2818543 160.6810005 160.4781132 451.3272844 482.7133987 190.5426357 102.5933976 67.79924577 130.845258 146.2965251 308.8067378 64.91181739 277.694769 73.736793 129.1592309 220.3973003 197.4894129 267.3703839 117.857422 68.53723183 4.92387324 59.85906329 40.15655707 152.4882556 41.56478396 99.93237877 22.51070687 38.38372888 25.91163672 12.41442087 89.24329856 20.86220152 25.81711025 32.65364171 21.13200328 22.799785 27.64279349 6.82222232 0 23.49093594 0 7.165929139 22.88810078 18.30841039 12.67775416 9.223452015 76.62964763 0.2043887012 24.52576792 0 9.343511885 19.54444086 43.28432606 66.20258096 37.55289965 162.6678054 4.112918537 5.407815197 10.40790107 21.67126113 27.74502755 38.95921205 25.27564528 53.8696847 52.19286262 97.62078519 77.11752198 100.975072 89.57833899 169.7948966 219.1955387 106.9944126 274.6812217 399.55835 191.2392621 309.5330269 302.0854551 208.4805505 411.5009259 346.970977 387.5759995 269.6273799 444.2215696 514.3020847 390.2319034 476.1074037 539.7716739 735.5204299 710.989934 669.0381915 1120.342733 1078.361483 723.6140522 963.1088429 919.1081317 1287.373383 1116.013189 1085.310727 1116.429048 981.8247628 876.7641721 901.5380575 658.6556486 603.7953397 831.1927467 806.8901125 527.9404782 548.0094425 993.306894 431.2700438 870.8784803 724.5492568 318.6585326 280.3893235 371.1761643 569.3770568 462.4049211 423.8257027 583.8753036 236.1750852 253.8333151 535.957275 515.1201673 327.674693 315.9433731 97.80831444 145.0674938 255.8023391 259.0891609 128.9824089 111.5829666 178.1140603 183.7971321 130.4175032 68.41828337 86.40378636 86.40178144 52.20828913 14.40561676 131.6817382 2.750029497 35.3761552 92.20283838 57.82259443 19.86473393 16.12235553 77.90145899 56.79260244 47.94476496 32.99702844 23.46793446 9.415498348 10.69400055 23.4432969 78.77880114 9.283682324 22.48464515 38.50091992 32.88059476 25.35188036 39.74321374 2.727728404 53.93027266 47.7270538 15.31166798 58.08752642 0.610437143 52.33431124 29.48796939 11.04988872 55.53492123 28.74097046 6.77083232 9.426787389 34.33961047 63.91799669 20.05779463 22.34229296 29.63291584 14.16226649 29.02354969 0 48.44098905 21.64590036 24.43630067 0.4005157166 0.8531115652 14.5295374 2.093083127 8.962351653 5.967089804 18.56242758 53.06682201 40.57656392 26.3127479 34.29004527 96.76699035 45.32839186 26.36078488 67.82294609 14.19559171 26.48051268 26.15690782 64.5186861 67.67377347 8.522233171 33.9480219 65.34777406 58.44830115 59.43651721 11.71928523 17.22601033 22.01980647 16.1329446 61.81064487 14.80257076 31.6598792 72.41233641 55.12899618 55.9928947 56.24616001 102.2563267 31.82041952 68.54930152 70.84093459 58.22844164 105.5026525 75.16590456 80.73979183 71.54329337 99.3608932 168.5042678 178.2025413 70.46272059 151.4037814 178.2120983 231.3901173 346.953291 282.670536 364.3460792 244.7271389 519.8685447 461.5951764 125.6448232 230.7985241 455.1211489 400.5316022 276.0699004 205.2143738 816.2053225 482.5847705 390.8487541 236.2340015 521.2460571 339.1535164 486.7631468 412.5515718 489.8441531 539.40303 640.6871635 442.8645733 925.7181882 678.8315476 695.9480853 707.1880508 684.4309055 782.3214183 717.8960109 763.2106086 906.2804583 1094.196972 918.730767 615.7129051 518.7999583 742.4247079 765.1080121 946.2548888 853.2110068 503.2395497 667.2836343 439.9808143 651.611154 321.8206166 442.6335091 293.8689884 358.2717034 392.4262155 326.4099097 319.0517941 331.1495521 256.0416367 244.9009938 206.0041249 258.5501334 305.1395831 156.8830639 183.3165494 151.3211791 150.1510072 166.7888938 127.8180121 97.50322225 89.28445336 123.6736077 79.86134153 43.2857593 124.0149188 26.18215625 94.14504308 119.5177874 26.03033692 68.0535362 63.31970214 51.66583795 35.56051708 17.06315063 19.89708855 70.26518425 9.653959709 54.5859981 0.1154244314 17.59872291 6.114830002 19.54029191 11.1120266 77.33860249 22.46923246 0.8248004179 30.91412698 5.151685368 39.01987477 19.4653047 1.569617947 23.9657113 25.17736859 1.92845865 28.95365871 2.137610393 0 3.625963742 3.882962264 13.15568772 6.563573564 31.530045 29.44024196 6.482233835 12.70907449 27.24853196 18.04051092 31.10798792 0 13.7629802 5.405253352 0 21.61786959 2.6009203 0 6.09987442 109.1257789 18.44676595 7.193804628 7.608671558 19.3561628 7.353836955 7.438529053 14.32057261 0 2.185922659 20.80114607 4.612946012 0 3.949778627 14.22343598 24.51250483 50.52798627 6.524926732 38.59998622 49.82139607 9.237812087 25.0005934 55.62550147 20.66453648 9.336474658 45.07304132 13.1269902 0.8759192921 0.7788926917 9.482858313 48.46088585 0 8.880811121 2.24851037 12.9930631 7.348017387 18.34092801 15.78239016 26.23834617 33.57892648 17.506353 47.5499266 51.78105702 16.66982029 24.60122316 0 61.28678034 48.68694758 22.10677149 30.92925363 54.84640645 43.8594037 46.90795363 13.73634627 14.49677941 21.35142455 44.05273818 15.4036093 61.75869685 53.14322751 89.81868105 49.77478945 64.98037914 73.13883401 122.9477235 114.1030679 158.0111027 92.00799516 94.83730412 102.4526661 189.9757841 173.4107568 199.8907534 197.3766743 255.0583259 369.6007906 229.1018441 266.7079272 219.3127131 202.4557662 189.576956 363.843074 241.8348931 442.8743325 287.5866347 469.7244732 475.4654439 316.2985235 364.4005033 495.9192242 536.7553849 747.7728121 938.488607 933.2710306 992.1438346 570.7719857 464.3946188 474.175003 738.7183832 847.4011157 442.7653841 456.1609485 878.0854508 870.9616491 671.1995184 882.7649357 740.4920495 658.0742411 960.7469338 807.3152012 868.4608775 372.1142241 342.1702934 753.7515959 368.0795646 362.7515019 112.4772714 313.4494207 390.0492445 192.6043941 295.3446713 421.5329671 168.7186679 522.1426931 395.0065845 302.4199594 206.2477813 306.6433869 204.8934118 340.4951351 450.4845214 326.7023721 168.9318299 376.6753704 318.133634 233.7000141 186.502542 179.2439725 181.3948821 158.3171037 80.94780446 107.225652 60.60819391 27.57442941 92.44866544 82.732117 62.1302529 49.95033461 67.53202291 51.94603155 70.95949532 44.88514609 48.40298362 14.83694691 13.05366319 12.75758432 90.06621941 24.68742817 67.06035166 53.80369732 43.56904287 19.64192188 24.16441578 35.88072844 66.67384948 39.57883646 27.76211908 0 1.53138654 28.14345282 0 9.540713746 46.54696113 10.35543278 0.09252178364 81.68446496 43.31094811 0 0 5.830582905 11.06203993 47.92169884 4.095454553 26.7237929 1.114454067 59.16515711 46.10687867 19.38679542 144.4137126 33.7037483 94.91439938 51.88247208 22.08290037 29.10292166 85.77906514 49.53118748 20.02297005 77.2935319 86.60864723 70.96140147 48.87644082 56.75622194 55.95776017 54.76502934 69.81630516 19.93139215 45.63201805 73.07091889 36.15908658 8.963068377 47.7458581 64.51392298 57.73882129 151.5154356 99.37641142 21.03121486 58.34169789 66.65072849 102.0722328 105.1658267 155.1059854 93.86283192 93.57341106 212.693678 73.05378627 312.1440858 199.5135878 88.58938092 198.5313493 153.8293505 133.4806846 378.370462 244.7265794 180.8518665 190.3460097 173.7080987 531.9082581 361.5495105 155.888569 246.1768348 241.7051651 461.0520018 136.0194162 147.3238926 239.625529 459.8484779 141.3563765 132.5559032 305.9313855 368.9779059 132.8885181 240.5704014 477.5275169 306.3578648 418.9017004 440.1888923 387.4488813 304.1310186 396.9635922 543.8712741 338.4354072 600.9290707 500.1475494 427.9570472 588.0401272 647.2523026 603.6650537 550.1983367 647.0950513 564.7028342 562.0722216 746.4626966 727.2683139 202.5947351 626.7008738 416.6785175 391.075507 737.48158 330.8854363 409.2169825 424.2188936 430.1242018 409.8973284 559.7899535 480.6044328 264.5448377 343.4668327 223.2921529 185.5656925 199.611855 228.6416999 186.4354693 265.2126671 151.1381395 216.7326959 120.6423801 199.7417915 264.3347093 188.0058026 190.8870857 176.8957715 136.672692 92.92668009 136.0299754 212.3620708 92.80277747 112.6365544 169.1572392 106.7559707 84.39727212 94.36447615 111.9576824 36.99122595 96.68358871 43.12964738 80.46203756 48.66663581 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10.47887787 97.06277444 16.18705691 20.50613608 60.59557275 56.28140577 84.09024806 5.628504183 48.06844254 15.82268302 43.4066958 48.09415347 20.8881381 6.550608758 78.75317224 5.988717491 29.301397 46.27622803 76.79032715 67.14099366 218.971721 94.88910916 45.15636613 17.18043193 35.24145622 36.40272368 34.14266431 97.92225248 125.8961981 55.14800715 27.99790395 23.42265426 158.3792358 14.16444439 22.15777511 164.7985318 81.5270914 30.7978215 101.7634829 51.0766473 50.37901518 60.96924197 115.7618643 20.23805281 104.0127056 73.56664951 67.61626101 71.87693598 72.73790027 74.49403399 55.99782012 29.55124875 94.57168284 98.90152437 58.14322055 141.9911057 53.27033602 171.2598086 25.80983118 35.05254866 22.66814514 77.70714693 20.78466214 40.41279495 115.2494943 7.393132933 78.9011907 133.8350519 88.89321984 172.8527881 73.50235085 150.5033548 176.5214217 67.71388822 116.7027242 127.6144788 41.7210201 75.6885697 42.99309713 141.1697901 24.57823652 129.45948 27.93740235 33.50577498 41.72505132 31.35788852 94.71613058 139.3799067 108.4949336 13.63387185 120.2493135 144.01424 63.79972214 61.43694245 203.8936117 122.4439403 164.7804564 67.90226141 21.14627419 186.3900009 183.6446686 113.2351619 185.4444014 3.090565678 29.44024496 146.1724137 12.16237651 30.63350676 35.40954682 4.07886105 132.7796409 7.914010916 34.48637567 68.30333202 23.94613056 47.60212318 13.80631904 105.8599809 64.94618788 65.58159406 41.98390039 20.24587251 82.81019981 53.83355621 28.94207529 113.7680844 48.20771703 44.80929088 77.46453868 78.75718694 54.06139214 32.08197507 115.0621832 29.05979591 61.21143982 123.4198638 72.77593796 0.1844553738 140.235174 16.19594078 71.9874139 139.3002065 189.6324584 108.1219157 138.5596176 126.6486236 17.1191045 162.4826934 100.542559 58.86972739 56.94673496 117.7713095 142.1875393 2.871105032 10.34251326 # Errors [Sph_mon/Sphere.dat] I_err: 0 0 0 0 0.03710611354 0.1812993876 7.982733899 5.452530961 1.788804331 0 0 52.51103115 0 0 0 41.40977992 4.037477741 0 5.332497046 0.1277533315 2.111863846 9.580959674 0 18.67776757 0 51.19205666 0 0.09104005073 0 0 0.831571221 0.008429626558 0 5.521038945 0.04440086624 0 0 1.251726276 0 10.061232 0.09949890072 13.28461344 0.03963726003 0 12.89793021 3.588568315 3.668454197 22.51613552 30.3574349 3.324724072 0 52.98994175 4.277340352 0 0.06507107814 0 0 142.6220585 2.861717699 0 0 0 0 46.96984032 1.629974189 23.24254604 0 3.72832806 0 0 0 6.095115945 0 23.36175511 26.43753863 0 0 0 0 0 0 1.434166376 0 0.9700596421 64.6373656 0 0 0 23.81244473 0 0.268500272 15.7169154 0.0429479738 0.04442828796 81.96427283 0 0 0 0 0 1.250601771 43.42246612 0.2229220179 0 0.4520117743 0 0 41.84202388 0 0.08548620557 0 2.824875142 0 0 76.6511783 0 0 0.5203946614 30.9811799 15.16012267 0 0 9.29848109 0 8.285373939 4.026749249 0 32.76295808 23.28881439 0.2643738675 0 49.92452866 0.04076523172 0 26.98465449 0.2705319178 0.167809626 2.988449603 0.8949841383 20.94073612 0 0.07342489979 0.9217606987 0.1005364506 0 13.23912578 123.9866407 8.37830017 0.1109944409 2.379892694 20.76280632 5.518723621 0.9137866512 0 0 60.87098193 6.238287984 22.64763518 4.728737213 0 14.16077325 0 0 17.064497 0 0.6623492374 0 91.02664736 9.261601495 0 9.580425618 0 34.36916111 0.03829231831 4.101148462 2.636019035 21.68995714 25.83221998 0.2146100936 0 1.038422707 2.546707012 4.560984716 0.08603549041 0 0 47.59361813 45.28843866 2.29973053 20.26864808 0.4382091275 0 4.248445227 35.56329938 3.922995974 7.65388795 0 0 0 43.51034271 0 15.36330704 0 1.227788474 24.93727428 0.7662058404 0 1.018120204 13.99304745 0.7870609173 1.172457796 4.733622693 0 0.24848668 0.08652908005 0.9005794594 8.106851584 0 0.08135495867 0 0 0.8061459269 5.963797551 60.6479737 0 0.7364046145 24.56397971 50.72394561 0.001545179723 0 0.07193346304 0 0 0 1.275837409 0 1.991296797 0 3.244062378 0 0.6022371276 19.4599607 0.170433623 0.5211552006 120.2918392 18.09295202 30.58228197 75.37666989 12.85292473 11.07878718 74.91728668 2.506209218 0.3416758541 0 8.908411245 0.6930058411 2.276993184 0.1161464848 6.50053764 0.08880398303 1.184615723 9.102555092 0 0.9674918191 1.377456589 11.48360788 0 0 0.803022684 0 59.70657642 5.686046752 40.10271627 3.990966881 0 0 0.03321771963 0 0.02330468163 19.13877974 12.22193416 0.4147601606 38.97625569 0 12.01709135 0 0.01735011135 0 0 0.02170758012 0 0 0 0 0 5.926211263 0 53.32804781 0 0.5173418295 8.13454766 0 1.31557181 0 0 0 20.16734019 0 20.98907922 0 0 27.43954807 0 3.326075675 0.2311133415 0 0 0 6.643990844 0 26.03410267 55.97193483 0.8906641967 2.98681885 0 0 0 0 0 10.44915371 0 8.040166578 6.857377095 0 10.93276533 0.09562706647 8.078815855 0 0.09324746158 1.212256829 8.15989852 4.710306134 0.09423457536 0.1267364786 0 77.4455447 0 0 1.42461705 0 0.1037445879 2.028509718 0 0 0.6297887342 0.1300908088 0.359396536 7.17806585 1.409556228 0 22.27352154 57.63668748 12.38833024 62.59442967 51.60760287 26.70898404 0.1003282884 25.29782306 57.48150786 59.02993686 90.29047251 41.1601641 66.37375038 29.67919314 43.67670824 27.58182452 87.45077882 95.85099131 0.1899693517 80.67028224 49.75803945 9.850311009 19.69537206 0.6670534088 94.12502677 79.19318652 49.38624929 47.54564947 30.33949142 55.46260101 107.3334621 0.2735286171 6.233535556 128.4954043 66.66877231 32.10270096 68.41848797 10.41099141 22.35315341 72.58609332 58.41602065 28.57552935 34.28842415 37.9891425 58.47858491 91.19379922 42.23604205 72.59294566 22.80165744 36.23072867 19.99903969 146.2571301 32.07163266 73.59406249 79.27490807 35.9735988 113.5115612 28.45111469 70.79954507 50.08614056 22.10373246 75.55299182 24.27693019 35.68795247 53.21210995 69.576187 60.06719422 13.28705409 74.86966279 97.731557 100.6420502 43.37633632 13.71338391 82.89279007 27.13222471 41.78144636 49.71720331 25.25918386 74.36963064 20.0130184 3.816545633 31.43479641 57.8439198 14.81579456 2.452409903 21.27942123 28.15924321 28.6137817 58.61375769 59.13628729 17.75583344 11.98350847 33.27151158 9.198448734 108.477631 4.178002995 51.45730806 21.72394435 61.26493166 8.405432891 6.633336258 30.39133035 52.27520187 10.80581157 17.84090788 52.64959883 25.73659315 3.934416828 81.67171905 28.47533706 28.31528508 4.410340694 21.79052823 38.87517017 28.00149621 3.314070938 14.65116941 65.89161716 5.707943408 0.6800001924 53.69061986 37.30303564 72.29793192 21.23097846 17.44670117 2.699332692 21.85336869 66.20547865 53.22071842 2.090855891 17.48374739 5.942745982 89.41848402 23.76780758 19.18261534 47.49858194 96.27006981 9.368448256 29.05459671 23.02234458 8.546222766 18.54840898 32.40692413 39.0138665 0.2393316873 10.9043781 25.36255248 34.93832299 16.77208439 19.52731535 19.18699514 42.00345696 16.40598302 46.29342419 21.36651385 16.93924629 0.3135407427 16.80650775 17.98736101 23.96755601 12.45066671 8.788487063 29.21532049 10.98453237 9.866157752 42.54245373 69.19671638 1.697877649 6.692247865 34.89351491 15.75041057 3.833823924 14.85189911 15.75351341 31.70030775 4.425766998 38.89858785 13.13485135 6.682573333 16.6450201 23.32150666 13.78926202 7.848136776 63.43041221 7.35144327 40.6581067 12.57163975 23.65242816 23.04890126 8.09530614 44.25049819 1.289181505 2.573826686 14.47148943 38.23711897 16.61338432 22.87175944 8.376588021 33.2797454 20.40989371 17.26738276 17.30412377 49.06388685 35.04272886 26.558243 1.059191837 93.05160554 7.275270508 22.43004655 30.69417918 3.205616672 33.7465059 20.68955384 28.1165499 12.6487782 107.7025418 7.868603307 11.33962571 26.25142291 10.72230768 37.04146336 59.03340273 9.322487794 26.97409425 4.737921548 15.6275016 15.03584642 5.996553787 16.15786379 47.15582317 35.26341066 31.02420837 99.95251979 31.11406756 42.13194455 45.28322647 33.25713691 60.50719841 6.284029151 24.28751638 30.21255686 24.93148152 24.02486687 23.57890235 40.97822069 126.8911141 18.23638963 45.24489769 76.30053671 41.02871177 27.16981579 107.529007 14.84772362 76.54952983 32.09222075 39.91558609 96.95768958 29.67817274 51.85080016 156.6613448 45.83117913 55.78895431 74.88673846 63.30441737 41.51424562 90.62594219 61.3268666 87.32906546 40.08173115 59.39597554 8.153152212 64.07349971 36.58784873 85.3315665 11.6120005 20.86973162 54.89403232 94.06437793 31.23807908 2.034625208 73.68893013 13.03226868 31.10365439 56.35094977 119.1826626 69.0697792 88.50542418 96.86647824 44.24293522 26.49817227 16.60129704 65.9301867 72.3956473 4.43655078 37.45733705 2.234682471 46.28444507 61.26483163 61.51399291 39.9627044 106.457511 64.06842955 29.6839856 108.3272894 110.3684381 141.7138333 42.95747813 66.50146601 113.6574004 50.77316236 76.81032187 5.099931196 9.810247656 4.383314232 71.49211812 67.42580077 27.60598238 72.73389376 36.02678063 75.84729783 32.81614023 57.5722867 81.72857398 18.12126437 53.88165294 27.24147356 101.1178844 33.86856354 24.80678597 79.86674952 64.00663687 107.8292165 54.6254365 12.66693545 101.9833622 19.88132035 23.63362279 2.073930852 64.01794127 99.86688438 31.97004386 136.7487728 69.4676776 111.2738755 6.224722518 99.37061831 17.32020416 87.87227828 48.92073282 20.96267282 8.423639999 28.45581139 2.803578372 15.2043711 5.931369497 61.81754201 6.412890771 28.8256664 21.15504314 37.67153535 14.57782491 93.24863108 14.09156765 9.951993737 70.25144811 75.97749886 17.72342165 53.68365868 117.4425864 10.57197494 77.30609665 46.01396473 20.78143238 66.12956122 9.361468456 69.38761127 66.24767858 144.3368848 72.1939183 31.15821396 101.8025457 59.73735351 53.34077452 40.69800614 21.31329675 74.42943472 9.910036199 68.23615121 36.23891379 64.49684368 129.7333539 59.89744162 118.5708608 97.27285424 27.60071832 38.98797602 129.4035304 18.92117146 67.76767331 100.8808791 41.97441096 37.21330855 91.84134816 13.38984491 109.6548403 99.88947465 58.80031362 19.97127019 73.06555829 47.23753603 21.13698978 24.89882954 57.49357409 78.45126486 101.5238212 45.81401134 67.06834629 99.44067385 95.65890788 46.14066613 18.65519754 77.50309756 84.31443251 141.7923205 95.91959286 50.90318477 146.0927231 127.0947119 53.55008378 67.83141592 46.17870124 110.111153 75.48040528 36.89987017 80.5051878 64.70715189 63.13992657 147.6580539 90.55119941 68.37608693 96.56663553 77.13116562 136.3211435 49.22611127 90.82047218 48.2748404 71.19663343 106.1726521 50.08978152 129.0093312 91.02134381 98.72292806 48.21069698 88.86151991 96.87694358 61.17867156 152.6510768 71.52236951 60.63697707 109.4025811 82.83950919 63.23102456 27.41311338 28.25965129 106.4832303 46.55226915 82.86214171 146.9540312 52.84515706 99.33010581 51.33767564 45.89119508 33.61358771 26.49503537 40.37569402 55.63554858 52.4395169 24.51209847 89.17619645 24.8603093 24.64722945 59.60574821 37.29810153 28.42786813 31.41713204 46.07334006 49.68045643 18.44751662 10.531158 36.05337113 21.11030119 41.26114083 30.66282713 19.4402862 35.21163123 25.20984904 32.06188348 15.04299462 14.92363752 16.17846688 4.910027373 39.32818502 42.42767683 9.739504857 22.40848722 32.47758507 15.73836019 16.24592896 19.8435769 24.58468911 19.75678582 34.44221924 26.37249201 16.22188078 21.98739779 27.22464318 9.054516563 19.29813028 23.24283038 20.50079988 19.07186628 5.03311864 12.11047816 12.85420017 25.66540764 15.38095929 20.55261838 44.93242665 23.22254778 15.08831316 19.25452591 9.600188477 17.26901939 26.97640226 21.03528301 39.91065226 49.9234984 16.93374156 12.44069625 22.42172342 40.21566528 10.26934695 33.44139883 18.12064526 17.95610219 19.61996553 28.56594851 7.612630655 7.57048676 29.90444979 25.37326667 24.46286115 5.220254089 7.040263871 46.09602661 17.91911049 4.695107712 19.03371929 31.09621302 34.52121674 17.17677232 16.30239318 16.22000972 17.58834326 24.54556197 27.60631669 16.72153599 31.92770959 14.90725957 25.03180942 23.14803426 16.77412797 47.0189302 21.26778889 13.34002077 38.78834279 65.11535494 31.52759228 43.45612419 26.26221606 19.33139036 3.704345325 32.34845959 89.22916646 27.48097461 19.94333495 72.70664081 57.62107447 15.78443203 17.89268309 18.84669393 16.88314228 30.52636251 14.12856018 27.25786774 12.90796929 29.12547027 40.86616501 72.27396523 42.46498981 19.32327385 62.92735914 34.83845934 65.36920905 43.25085066 36.78780778 27.84603209 36.28358986 71.13401408 49.87361813 25.07553759 67.47921979 54.45445812 76.48912124 37.61036155 44.83272834 14.30953449 91.71361402 60.3906937 51.15066746 57.21818772 34.48363161 67.48626554 29.73031329 81.25186742 81.23110965 56.79189473 16.06560337 141.493303 35.27646461 71.27443763 100.0184232 75.63252097 110.9523035 39.37403655 81.17817242 48.90108077 29.05036259 38.47148959 12.89775004 71.22257063 83.89064768 99.00613004 53.82105795 99.33471633 90.8030274 96.21830682 107.6986926 25.87033056 35.48506297 82.1032303 71.97141492 49.41251077 52.18454641 28.55806723 118.6486204 60.92743713 53.66918222 28.98581691 103.1815382 157.7197389 109.4269838 43.96097566 49.85734828 70.28044805 170.5359007 14.35360001 22.06106558 87.19127229 84.8102677 17.69952766 66.31546597 66.29279413 54.76674567 74.98347752 87.87363693 35.65718752 156.3107783 53.78046603 80.60443213 98.75443879 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116.7529984 50.16661891 111.1468735 119.6481879 229.1023883 360.6256796 416.5291073 418.3857123 496.7313573 592.8024541 666.3103875 636.008115 654.3926233 491.7362652 374.072769 224.8339319 186.7146709 130.1660849 100.2352768 104.1122282 82.94299352 55.62625147 68.67224366 80.15190772 136.5953053 328.0234013 473.6155251 637.9233092 670.1037901 616.2449199 367.6373763 349.6222782 576.08811 670.8171978 870.9407324 789.7654355 626.8165711 532.3266578 287.5631559 164.2291993 100.0988704 115.4847057 198.3102153 251.7517943 281.979135 376.4906221 428.7419098 402.4184813 330.8214055 245.8595676 665.9537466 668.9768791 1487.123905 2135.027599 2461.357807 2706.972687 2534.015 2845.278681 2824.337841 3007.199383 2704.507285 2206.049249 2013.249814 1958.070296 1617.650243 1351.765445 652.3130776 361.7816495 305.6624743 248.658632 257.8375777 206.8780148 202.885204 206.737614 165.8181456 162.0643238 166.2924254 183.0062541 176.1946419 205.3879746 206.5363682 185.6680322 186.2177571 197.5561831 193.1567275 205.4441078 199.6870566 183.2175365 178.3191009 154.5743199 190.9170666 195.7893185 158.2584012 166.6683244 174.9315352 164.8525474 142.9259533 141.5542251 155.2352755 137.2469706 165.0622885 134.5522963 135.7364946 158.8082698 135.7993623 151.0677579 163.1780602 156.3316793 158.2114709 166.4729368 166.8294259 163.6129134 172.698367 184.7213811 198.1219465 194.5362329 165.5583497 197.6722881 171.8896708 182.1947317 191.862191 183.0778277 165.048695 194.515034 190.7680621 180.9621233 179.6546117 179.0073241 158.3049942 170.3866454 169.9199262 162.397906 228.8656791 234.0817918 270.7594047 621.5668349 473.8347793 916.2994352 1387.746841 1632.972607 1732.299815 1988.87306 2369.097603 2340.097696 2693.857317 3004.070064 2820.618826 2828.676977 2766.817672 2293.007542 2089.157882 1517.254528 681.6934841 162.4885777 250.6298721 323.5927168 342.7440185 423.8160978 395.9010865 315.2369018 266.4380526 172.3744438 64.89142162 79.79483811 125.5263323 271.4899051 572.6478616 732.7154714 696.0529603 853.9134923 633.3234693 494.5099847 372.0520792 425.7022285 543.7829006 637.1645144 656.1859292 473.0252539 312.9004802 140.2523071 96.31103482 62.11680382 86.03627786 42.45505427 84.37273349 109.8307962 150.2974739 181.4895923 225.3090278 383.655343 470.6091673 645.3902326 690.9621346 664.7102114 597.664614 486.3113017 423.5291498 346.1207469 372.6914772 146.4751726 98.32329221 90.13963002 68.73621497 73.54037291 89.37367236 93.51291694 75.07739728 102.193306 93.20872307 107.9052254 110.8119932 98.95734213 91.94086996 142.4527912 166.7096523 189.7338149 173.0378215 170.9163824 130.033584 109.7040869 101.1559506 92.24172661 165.0332886 185.933296 167.3964071 189.1184622 191.6346309 190.2199651 163.0356965 118.0070783 112.230012 113.9074984 118.7339671 83.28169081 114.6834343 82.55986551 82.7832201 165.5961431 244.2893375 322.3112965 300.2317223 287.6554755 350.4620027 333.2394273 361.6345183 312.0174963 282.74835 283.9896195 277.4664545 157.3870779 179.272865 112.3217507 128.2453095 136.1462103 78.95330858 101.3765281 97.36671217 99.56906434 110.1053854 123.781114 130.4118585 131.9970376 104.188727 121.8083547 131.0589376 160.6796313 137.9481216 169.0909809 161.3320743 160.8426776 161.7952806 156.7247815 162.7581593 170.9931409 145.5448462 200.9001601 214.3489913 174.9519654 187.0752723 168.0161803 181.7596833 199.2270646 267.5558097 217.2480161 219.5162513 216.0409868 227.9159411 191.0944874 221.1387709 197.875941 222.2337824 225.5835888 145.3155377 174.9778476 234.9687001 232.9334814 209.8878435 178.4501873 170.3682554 167.0208353 188.0264677 132.2622852 121.8431955 132.2078912 114.6849737 102.053049 150.6798974 120.1024076 107.1763116 147.2242989 109.081978 113.7667466 102.8839854 144.4691505 119.7351298 179.8441861 234.7777509 194.6991456 318.9601181 341.9413701 333.8880064 328.7476828 315.7308971 339.4717182 379.8663747 292.9145505 260.0890123 189.4124106 120.1883448 113.4626065 84.85563303 100.3204228 97.3254947 123.9167427 109.5660303 143.882974 136.8442727 170.5855285 202.7712137 191.0426808 193.6905449 179.2703689 153.7897369 119.1473961 84.24650477 133.8927217 180.6752295 200.4260716 165.7400723 206.9132485 175.0484311 130.3109611 91.26844634 75.59097445 94.17079321 107.4574313 97.40267754 122.3108515 56.12487833 81.19428102 109.6715915 96.35795239 101.4512111 93.44610229 179.2591684 347.2355562 415.3943259 488.6539413 466.457466 609.1401874 664.8312847 715.48823 615.22388 441.178089 300.6417339 237.6396421 181.8908693 138.3520941 121.7074492 90.77520504 101.4483219 97.34333872 53.75798473 82.54129611 237.9540142 345.5142069 625.4366841 605.4986519 675.5235157 510.2120317 393.4143552 408.5392466 753.3717817 697.9295645 862.1566088 709.7769121 521.1344068 280.080973 193.3416375 153.9301206 85.41975003 139.6700852 290.2925105 297.8243513 354.5174741 472.8087153 331.2153256 353.1450987 270.9154805 167.1573417 601.1251148 1669.539699 2158.741022 2781.743031 3027.230525 3288.848733 2876.941237 2894.754258 2785.334316 2517.336494 2067.416839 1961.46012 1800.396703 1038.374211 917.3610083 657.7311378 283.3880017 272.4265685 255.9358138 201.3185588 189.6666131 183.9029974 185.6420096 163.5211714 191.7762699 205.8510127 195.9459398 205.2020371 210.6721422 188.3239382 196.702071 188.1983008 170.3982528 182.2740747 167.0988907 172.7111745 165.9925568 163.7271427 151.0270004 152.2304778 130.3393084 118.7802106 126.918645 101.0143884 109.5754042 105.1972566 120.4666239 89.68570482 103.5986835 99.06888435 85.83951157 104.179434 97.86786816 79.75274382 102.8300141 102.0020257 79.40389686 93.22776059 106.3804202 108.4468048 97.80271479 136.1966861 130.1980185 165.9833919 142.7489204 152.8384991 168.3400411 162.9075754 189.8665028 172.3452327 173.8705697 196.6829868 185.6038993 209.0850718 204.3162449 223.5522439 231.0910364 222.2866019 175.9840847 201.3921023 199.3968494 148.6070028 165.966167 194.3816789 214.9038739 255.3435297 301.7146975 287.5116276 504.5794566 764.1642107 1185.704075 1595.116249 2112.862345 2201.754571 2608.588383 2279.455488 3032.157118 2967.276359 2682.46435 2952.89414 2481.225246 2249.356658 1471.214319 1210.188991 385.9550837 231.5174418 301.8051857 357.8006318 431.5351871 389.689706 337.3790825 275.8356675 95.71741938 90.50341921 80.80260083 66.69386911 339.5960069 467.1208515 660.5092816 845.6343275 687.2926423 554.9994425 488.3163398 386.5083673 553.8770146 627.64556 646.0847239 559.644594 353.48257 167.9628909 86.09420299 63.46923779 87.39112884 48.20093721 87.79793617 99.90411316 127.3322709 187.2510033 242.9006911 343.1250277 518.1072063 663.669395 772.7739865 720.9235281 625.3744759 604.3426191 468.16318 400.3074527 284.2001583 171.7157508 104.5331496 113.5209304 112.4607565 91.37545249 96.4276069 83.49801628 119.196824 103.7455852 76.60036439 46.50658866 114.7420962 94.79624791 118.1096522 172.7492979 192.7035056 155.2719266 191.5702718 165.2963677 145.3954911 136.4577897 138.6648332 146.0816106 188.1312948 173.0925556 182.0721721 186.1882051 160.6752654 156.1931552 122.589302 118.6637067 82.82033419 117.5918546 119.3903265 81.3707149 74.58495064 92.70202815 187.24506 253.8598167 291.992051 318.7809407 307.7682489 325.7244744 349.2678309 387.3543958 318.136789 305.9291112 247.3703135 196.2218788 165.5307273 134.4521944 107.5009938 86.51301602 76.08156419 123.9588186 57.89169342 131.2651065 104.7456901 126.3030969 112.8858333 135.9306394 140.3476422 160.3201751 180.3046947 164.0994051 158.195917 144.7131998 187.5556939 181.2690102 204.3511664 215.0466542 210.3349382 222.1604397 197.9626281 221.8033084 178.1615817 242.6415165 228.3585911 226.9130713 199.3628616 251.9295772 185.0899948 218.6243564 224.7963199 241.3596053 273.9813063 255.7120024 254.4492652 267.8708098 239.9197984 249.1101931 242.0545051 190.7821987 242.2883177 232.1152129 196.5324493 210.3403559 224.3851707 230.4534249 220.2339411 210.5171775 196.0848759 190.9850326 156.8563729 155.7973388 161.4836087 178.3795873 136.6370126 180.354613 136.7299995 132.4378599 107.6509512 108.1475779 106.047517 124.871569 118.4550158 108.7292241 102.8461532 167.9733016 220.1045292 247.9010405 245.0161942 327.6375487 314.3428892 314.9715641 358.01423 315.6332218 249.9319179 284.5178722 230.758128 117.3395745 99.61388387 118.9814889 109.7127422 133.6694759 96.98056507 103.0325898 147.7053113 162.295689 159.8176974 199.2819059 173.3458297 195.1160259 186.7951919 127.2241472 110.1636155 118.2816779 155.0223934 175.2837775 168.9439363 167.8263518 158.8829901 151.7688128 97.97261103 80.64794075 77.54081074 76.89864684 70.73872744 65.5306801 76.76480754 108.8270382 84.87281261 89.02335801 82.59633885 103.9147643 165.1416741 312.7555963 409.7183971 486.1227448 601.0747566 584.2409919 681.3022449 790.9842974 674.685222 548.1223814 343.6204116 222.7892712 168.0647918 142.6691567 84.79488246 69.83754866 79.54611647 79.82260985 79.74009178 119.8882034 286.0619953 484.6814924 624.1764308 716.9108369 620.1368542 490.528307 266.4427837 569.9257859 683.1663596 805.4308132 745.5576602 658.0495614 407.0942738 134.5588567 63.90235639 91.80381632 171.6522146 223.9781282 357.7621837 396.9871973 419.6844467 364.861312 351.7133758 227.8333202 502.4449424 1036.424343 1856.984304 2480.588207 2617.077034 2946.013389 2955.730416 2979.356697 2844.611027 2794.713915 2519.083609 2346.657058 2149.508355 1252.855819 1007.942259 728.725542 301.9891198 263.0794994 272.5110947 199.2368574 183.7779751 183.6331963 186.5983762 203.9051635 201.0282538 206.2911329 229.3545326 180.1584057 211.4377093 196.3942032 211.3126498 168.4378007 161.3643856 183.8459387 149.9159646 162.8727902 142.5489833 146.8774101 116.8062268 110.257399 84.56303904 114.547056 96.21126121 68.24308322 84.83525117 66.54787232 100.8815026 74.16733418 91.18465184 86.16710423 87.22117194 91.11322742 88.76383125 91.91105381 89.62023201 69.75313946 82.57003914 73.93860516 80.85999569 94.85328538 87.70047145 79.00222426 78.48891369 87.85265446 56.50742709 92.34631863 69.51164487 100.1597091 97.07686074 96.61477011 144.7034865 134.1233355 180.2292426 179.9658695 159.7182668 163.6220841 190.2087414 198.9406912 197.2732543 192.0301751 206.463894 201.37417 239.6034231 206.7735962 192.7466691 176.65801 157.0989499 197.1020229 190.8426911 246.1539243 287.0052898 482.932733 873.0136525 973.0877366 1393.84908 1874.429819 2015.651385 2282.038048 2770.101652 3041.262111 3371.03032 3123.764755 3396.917082 2687.959929 2232.234121 1933.683674 895.8638648 145.742625 304.7654976 318.6652093 440.6877814 451.1358251 436.1873828 276.2784822 180.5016797 132.4445848 91.26523583 104.0630052 171.9446333 436.3953097 575.5212866 754.3117066 859.921234 684.337561 568.2458715 321.8645017 514.4318881 655.4205371 703.3761631 618.4722158 385.7513792 266.0884488 139.142276 92.75899724 80.77790093 94.46717155 63.1490069 103.7636994 136.218601 179.1914151 233.1989553 301.7011225 522.693333 700.4458952 697.6228211 705.7444597 575.845387 572.8730671 411.7675593 426.1391265 325.661947 144.2232044 106.6266623 71.64237384 70.40618675 88.41658171 94.141041 108.9657989 72.90892832 94.04423797 74.22163007 100.4825602 81.21821038 116.8164474 169.9098213 179.0489548 183.414851 200.4065635 170.9022456 150.339117 120.554651 117.2081742 169.5182787 187.3849994 173.9146779 200.6149915 209.0781853 181.8039164 155.00559 135.6091193 117.5119091 126.6972343 118.5398513 95.86697231 66.42356981 105.2221339 156.0429324 200.0357701 268.698854 372.018444 333.0428337 328.5528502 354.7820106 365.6885069 323.4764036 242.9154139 281.5668902 229.4823129 194.7248094 129.1468508 101.4995383 100.2522631 108.4142361 143.5767288 130.5246642 114.6743465 117.2828917 100.5578878 139.9788661 144.2313383 146.3407375 173.8152423 173.11895 218.9012294 175.4410551 240.2585619 232.6808539 205.8743194 237.2377882 229.5448641 236.9822782 209.2615068 214.8515095 235.6597929 207.5553761 178.3189171 189.9848423 260.6188751 249.3571626 269.0229855 265.6113735 262.3102626 231.3865359 269.222105 373.5114855 331.2405034 397.4641011 388.5291216 362.1288859 374.0791409 366.4714229 321.7205901 327.6020962 290.9848101 272.8687511 248.6530074 250.3509737 271.0410496 253.0880956 217.4642496 235.4992523 209.329046 222.1119677 231.988887 188.0964466 204.9448599 228.7721474 157.0479364 151.6929846 163.4456408 182.2466066 147.3156456 117.1965324 113.2854642 124.0461652 148.7031971 117.0075416 85.46903514 129.9745515 88.41227328 173.3789295 154.3172115 204.5934451 283.5576836 317.908461 358.0455771 355.5887672 371.7044513 343.8914517 323.1165764 285.3657956 258.0583865 112.223704 77.45764542 77.98924657 97.31380557 107.5995195 102.1308163 115.3121364 153.0445973 181.8917773 188.8904994 227.2738985 205.0496991 196.4962116 172.7271162 160.8444357 110.934563 125.1502166 178.0801049 169.3423487 189.5932517 216.7550212 166.5208905 116.184819 87.73168611 97.73721537 80.26687535 69.54980711 132.1280931 95.92514927 69.07366839 79.8273039 83.90199494 109.6517836 111.5285317 119.9426599 312.4224968 411.4255761 434.4744518 541.6098231 669.2405359 654.4496741 766.7140807 614.9096604 543.4229653 327.7974893 228.5325007 173.2102921 123.3341193 96.11299536 57.1787329 54.35929035 74.26177948 108.6711481 158.6970713 322.7936883 589.5152985 650.6356855 665.3090582 526.8309109 391.624124 404.2939829 644.5472303 824.7873995 994.4870665 735.7387261 541.6531425 305.4361917 183.6949783 116.2292263 147.1077438 241.112047 357.8934676 364.2217126 450.6498358 421.7601779 346.8881106 257.3599797 174.8806963 1031.150751 1828.358871 2356.786608 2849.803503 3279.952535 3135.437502 2892.491943 2987.2975 2737.82308 2386.200755 2052.504221 1499.482041 1417.210558 748.6103462 495.1635907 283.7952128 299.8479648 201.1853872 192.8030698 170.2404869 191.9930019 204.3324249 212.2836919 191.4339633 201.0449563 202.705192 206.3842847 212.1217205 203.3105521 187.8011159 166.664002 151.9970755 131.5337192 125.13136 97.79928682 99.54810072 79.11750699 63.54776319 89.2293249 69.72847807 92.10699117 75.05261636 85.35682563 77.01113568 78.8593324 73.91088499 75.9740993 88.97413035 67.06999788 95.1991974 81.57690406 95.5436323 80.63492544 73.67310448 84.9490912 83.36051257 90.65371784 107.9139939 90.30094637 68.11956905 69.88273944 81.134075 71.86351129 103.7876207 76.7802347 79.07015108 78.70197177 81.04411009 77.3691348 82.90708613 91.6659262 88.04221253 113.0151591 136.5123104 131.1486288 164.7646578 175.7282652 141.0199969 184.8928196 193.0181037 226.66941 204.9595339 187.7521724 201.3862136 247.6836286 194.0144988 168.3582595 183.4410847 160.3663166 165.3797932 193.3595948 245.9903495 300.3848662 317.7208507 678.2694489 1359.595174 1745.418774 1677.998763 2383.3403 2259.397382 2823.586965 2778.723655 3068.243701 3053.776144 2914.866723 2470.480984 1547.633532 1033.057464 167.0629809 258.1199587 357.7764162 427.8243949 464.334528 429.1355142 349.0063214 228.9007552 121.2620948 100.9272871 85.2470529 247.7404429 508.5408593 775.449018 845.6486486 820.5621755 616.9224454 415.669912 425.8204756 546.5591571 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570.0631799 534.2817662 618.8034647 599.6193302 578.9786359 636.8265032 572.0934349 651.9158937 655.6143723 641.6703285 640.3742968 636.2167834 618.8607945 589.5554866 655.1603507 683.5221919 618.8723527 618.8203564 576.6402148 579.6374761 499.7744955 469.5417629 501.908267 504.6299509 458.7370312 431.8183371 426.3952624 367.2677298 361.0269405 320.9606351 315.6674001 313.0200455 298.572015 284.7891625 239.4965931 318.3080703 400.8297408 442.1223483 554.2943868 592.4266653 677.2248175 664.2516427 693.2007142 689.8332854 668.7581401 508.6272812 500.1427556 397.3999705 308.164984 295.413375 290.7516871 260.3200895 248.4776836 172.4144039 134.5866896 157.173849 128.4356417 150.8026326 127.1274432 182.5164182 323.2391243 359.2655924 420.6947743 466.7203414 420.2493945 315.3734071 172.7827652 134.5204994 148.1435225 130.1563298 137.6098237 155.9955511 220.1069669 239.2067278 243.2173614 207.4803603 135.6410725 161.484577 230.123204 214.5551216 223.5902016 206.8266539 141.5096341 132.8138614 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760.6862459 792.8022221 741.5271071 793.6997079 846.92649 560.4404842 485.835635 455.2390129 386.0133758 417.2530055 381.3237546 422.3452951 260.6381559 268.3392774 247.7548627 239.1168824 266.3055686 271.5097002 252.5380423 242.3300009 215.4834508 232.8087172 198.505679 199.1419854 222.6326345 227.0729031 224.0243011 223.8978729 204.3080809 198.8646447 233.6977173 232.1325367 217.6747083 212.0089512 233.2971642 222.2059728 220.0200143 214.8333241 233.4441909 202.1860285 216.5975395 222.699516 207.3450225 211.6394421 228.7298037 238.6744189 247.581105 256.7678501 235.4422966 210.4719006 219.8110515 278.7337465 407.3514978 445.4728988 422.7502128 362.62262 364.6402256 406.3778849 604.1865346 755.9151344 743.1409857 802.0493603 743.3253671 790.3212797 837.8796743 888.8532832 901.4578924 684.7888554 810.80224 893.1003223 725.1810555 747.2725748 686.4566906 757.9155708 643.4502269 432.6221544 394.0389181 392.2239185 201.0821848 161.1372015 608.5318971 650.6261626 798.7328905 828.2769737 772.9885459 577.4557716 374.022259 328.5765062 317.4329882 288.9539248 179.971807 162.8239779 177.7235235 165.0359912 335.9554587 462.0273209 541.1931549 470.8353259 351.8521795 138.7790747 171.1156259 189.847433 195.4416834 283.6633901 290.0796672 293.5291884 202.9175729 206.5157909 296.6239378 286.6924529 221.9820193 98.72893168 132.0818618 115.5526414 125.2839822 98.02578923 160.5488954 168.5458676 501.8001877 754.5816243 962.8508627 1089.776197 985.9645852 505.7857297 285.6045602 177.2947394 159.8940981 129.0360725 112.2642165 600.9502017 1045.795152 1004.480002 371.9307536 1055.919785 1382.924835 778.9566184 122.376091 147.6608497 324.2236609 671.4806777 698.225047 335.6340828 136.2611523 3581.703605 5292.158008 4978.683625 4959.482527 1925.248697 648.3019052 442.7623861 320.9018068 167.1153435 355.4879746 468.4896307 221.3180358 137.0807525 126.2965869 117.8464502 151.0779656 134.8175626 139.7336584 126.9449753 108.3298314 131.2821295 126.9916221 104.6628294 124.4043717 126.0592107 78.60765858 143.8242503 275.4427152 182.9450103 108.5922689 492.4740082 779.8094344 1192.067112 550.5901266 139.0934982 131.2568508 98.13123444 111.9056594 151.5103631 135.2341039 119.6368512 123.6463955 126.2318201 125.4630668 119.4681165 105.3406848 118.4380473 121.2269371 80.03256074 116.6121163 146.4479192 121.2723703 106.7968191 109.4666145 125.6497699 112.5181153 112.4569233 120.3459432 113.1080781 110.3227231 127.5036057 126.116742 119.388507 105.7091482 103.8540039 75.29656617 45.23432906 0 0 0 0 29.00988372 81.19552957 86.64602668 110.4000995 109.5370259 96.61308956 116.2571819 112.1359514 127.5811246 111.4425043 107.1585827 121.3202238 123.2612832 108.1557304 128.8489036 110.6905525 129.7143093 123.8431864 111.2942389 133.533487 142.5586287 111.5431285 98.15595181 125.2296247 123.706945 127.1330293 118.1273614 128.4578102 105.0469239 110.651546 135.3215049 115.27298 122.581799 517.6307307 1131.206633 762.7689011 498.153412 120.7958623 184.1014639 280.5949995 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2595.02191 2200.75806 2493.862403 2152.708366 2080.430484 1864.962262 2010.974579 1794.18084 1737.218038 1635.316445 1311.871964 820.4125383 492.4524385 120.3772188 199.0744645 269.4378232 293.7365138 267.961496 276.7737576 319.8030086 301.3152746 320.1750216 250.0117658 171.5287717 88.67234341 79.33431328 94.48401613 75.87109144 73.61873001 129.3434149 204.4461486 326.2339765 504.4263099 608.9804421 607.2177659 762.4191012 630.4764965 562.0587306 437.8283418 231.4412225 364.338642 472.5747427 565.978067 511.8549304 460.3224225 487.426479 270.4333015 276.531467 128.4830966 85.90922526 61.32225284 62.36955628 67.36922464 85.59405028 79.36772934 79.30132409 101.6803423 151.1798002 168.5983373 172.5114325 226.2992741 366.3149538 478.8020561 626.1794016 576.4060281 527.182165 534.1382328 492.7653429 406.4350339 394.3861597 320.4822799 362.0580592 258.1059555 122.5395795 114.9469807 80.0879846 79.02225915 56.55001392 78.41361294 88.86607066 66.89072598 60.54063824 86.18519028 90.70285483 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