{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Mass dashpot spring"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Free oscillations"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using StructuralDynamicsODESolvers, Plots, LinearAlgebra\n",
    "\n",
    "k = 2;\n",
    "m = 0.5;\n",
    "c = 0;\n",
    "u0 = 1;\n",
    "v0 = 0;\n",
    "\n",
    "M = m * ones(1, 1)\n",
    "C = c * ones(1, 1)\n",
    "K = k * ones(1, 1)\n",
    "R = zeros(1)\n",
    "\n",
    "sys = SecondOrderAffineContinuousSystem(M, C, K, R)\n",
    "\n",
    "U₀ = u0 * ones(1);\n",
    "V₀ = v0 * ones(1);\n",
    "\n",
    "ivp_free = InitialValueProblem(sys, (U₀, V₀))\n",
    "\n",
    "NSTEPS = 1000;\n",
    "Δt = 0.005;"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "alg = Bathe(; Δt=Δt)\n",
    "sol = solve(ivp_free, alg; NSTEPS=NSTEPS);"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "The following command is the same as `plot(times(sol), displacements(sol, 1))`."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=1}",
      "image/png": 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      ]
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "plot(sol; vars=(0, 1))"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Forced oscillations\n",
    "\n",
    "### Problem definition\n",
    "Let us consider now a forcing term $f(t) = A_f \\sin(ω_f \\cdot t)$"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ωN = sqrt(k / m)\n",
    "ωf = ωN * 2\n",
    "Af = 10.0\n",
    "R = [[Af * sin(ωf * Δt * (i - 1))] for i in 1:(NSTEPS + 1)];"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Second order problem resolution"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "X = nothing # state constraints are ignored\n",
    "B = ones(1, 1)\n",
    "sys = SecondOrderConstrainedLinearControlContinuousSystem(M, C, K, B, X, R)\n",
    "\n",
    "ivp_forced_secOrder = InitialValueProblem(sys, (U₀, V₀))\n",
    "\n",
    "alg = Bathe(; Δt=Δt)\n",
    "sol_secOrder = solve(ivp_forced_secOrder, alg; NSTEPS=NSTEPS);"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "### First order homogeneization formulation\n",
    "The problem can be re-formulated as a first order and homogeneous one given by\n",
    "\n",
    "\n",
    "$$\n",
    "\\left\\{\n",
    "\\begin{array}{l}\n",
    "\\dot{u} = v \\\\\n",
    "\\dot{v} = -\\omega_N^2 u + u_f/m \\\\\n",
    "\\dot{u_f} = v_f \\\\\n",
    "\\dot{v_f} = -\\omega_f^2 u_f\n",
    "\\end{array}\n",
    "\\right.\n",
    "$$\n",
    "The new vector of variables is\n",
    "\n",
    "$$\n",
    "\\textbf{x} = [ u, v, u_f, v_f ]^T\n",
    "$$"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "K = [0 1 0 0\n",
    "     -ωN^2 0 1/m 0\n",
    "     0 0 0 1\n",
    "     0 0 -ωf^2 0];\n",
    "\n",
    "C = -Diagonal(ones(4))\n",
    "M = zeros(4, 4)\n",
    "R = zeros(4)\n",
    "\n",
    "sys = SecondOrderAffineContinuousSystem(M, C, K, R)\n",
    "\n",
    "U₀ = [u0; v0; 0; ωf * Af];\n",
    "\n",
    "ivp_forced_firOrder = InitialValueProblem(sys, (U₀, U₀))\n",
    "\n",
    "alg = BackwardEuler(; Δt=Δt)\n",
    "sol_firOrderA = solve(ivp_forced_firOrder, alg; NSTEPS=NSTEPS);\n",
    "\n",
    "NSTEPS = NSTEPS * 3;\n",
    "alg = BackwardEuler(; Δt=Δt / 3.0);\n",
    "sol_firOrderB = solve(ivp_forced_firOrder, alg; NSTEPS=NSTEPS);"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "The solution obtained is"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=3}",
      "image/png": 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902.422,981.564 903.115,984.589 903.808,987.607 904.501,990.619 905.194,993.624 905.887,996.622 906.58,999.613 907.273,1002.6 907.966,1005.57 908.659,1008.54 909.352,1011.51 910.044,1014.46 910.737,1017.41 911.43,1020.35 912.123,1023.28 912.816,1026.21 913.509,1029.12 914.202,1032.03 914.895,1034.94 915.588,1037.83 916.281,1040.71 916.974,1043.59 917.667,1046.46 918.36,1049.32 919.053,1052.17 919.746,1055.02 920.439,1057.85 921.132,1060.68 921.825,1063.5 922.517,1066.31 923.21,1069.11 923.903,1071.9 924.596,1074.68 925.289,1077.46 925.982,1080.22 926.675,1082.98 927.368,1085.72 928.061,1088.46 928.754,1091.19 929.447,1093.91 930.14,1096.61 930.833,1099.31 931.526,1102 932.219,1104.68 932.912,1107.35 933.605,1110.01 934.298,1112.66 934.99,1115.3 935.683,1117.93 936.376,1120.55 937.069,1123.15 937.762,1125.75 938.455,1128.34 939.148,1130.92 939.841,1133.48 940.534,1136.04 941.227,1138.59 941.92,1141.12 942.613,1143.64 943.306,1146.16 943.999,1148.66 944.692,1151.15 945.385,1153.63 946.078,1156.1 946.771,1158.55 947.463,1161 948.156,1163.43 948.849,1165.86 949.542,1168.27 950.235,1170.67 950.928,1173.06 951.621,1175.43 952.314,1177.8 953.007,1180.15 953.7,1182.49 954.393,1184.82 955.086,1187.14 955.779,1189.44 956.472,1191.74 957.165,1194.02 957.858,1196.29 958.551,1198.54 959.244,1200.79 959.936,1203.02 960.629,1205.24 961.322,1207.45 962.015,1209.64 962.708,1211.82 963.401,1213.99 964.094,1216.15 964.787,1218.29 965.48,1220.42 966.173,1222.54 966.866,1224.64 967.559,1226.73 968.252,1228.81 968.945,1230.88 969.638,1232.93 970.331,1234.97 971.024,1236.99 971.717,1239.01 972.41,1241.01 973.102,1242.99 973.795,1244.96 974.488,1246.92 975.181,1248.87 975.874,1250.8 976.567,1252.72 977.26,1254.62 977.953,1256.51 978.646,1258.39 979.339,1260.25 980.032,1262.1 980.725,1263.93 981.418,1265.76 982.111,1267.56 982.804,1269.36 983.497,1271.13 984.19,1272.9 984.883,1274.65 985.575,1276.39 986.268,1278.11 986.961,1279.82 987.654,1281.51 988.347,1283.19 989.04,1284.85 989.733,1286.5 990.426,1288.14 991.119,1289.76 991.812,1291.37 992.505,1292.96 993.198,1294.54 993.891,1296.1 994.584,1297.65 995.277,1299.18 995.97,1300.7 996.663,1302.2 997.356,1303.69 998.048,1305.17 998.741,1306.63 999.434,1308.07 1000.13,1309.5 1000.82,1310.91 1001.51,1312.31 1002.21,1313.7 1002.9,1315.07 1003.59,1316.42 1004.28,1317.76 1004.98,1319.08 1005.67,1320.39 1006.36,1321.69 1007.06,1322.96 1007.75,1324.23 1008.44,1325.48 1009.14,1326.71 1009.83,1327.93 1010.52,1329.13 1011.21,1330.31 1011.91,1331.48 1012.6,1332.64 1013.29,1333.78 1013.99,1334.91 1014.68,1336.01 1015.37,1337.11 1016.07,1338.19 1016.76,1339.25 1017.45,1340.3 1018.14,1341.33 1018.84,1342.34 1019.53,1343.35 1020.22,1344.33 1020.92,1345.3 1021.61,1346.25 1022.3,1347.19 1022.99,1348.11 1023.69,1349.02 1024.38,1349.91 1025.07,1350.79 1025.77,1351.65 1026.46,1352.49 1027.15,1353.32 1027.85,1354.13 1028.54,1354.93 1029.23,1355.71 1029.92,1356.48 1030.62,1357.22 1031.31,1357.96 1032,1358.68 1032.7,1359.38 1033.39,1360.07 1034.08,1360.74 1034.77,1361.39 1035.47,1362.03 1036.16,1362.65 1036.85,1363.26 1037.55,1363.85 1038.24,1364.43 1038.93,1364.99 1039.63,1365.53 1040.32,1366.06 1041.01,1366.57 1041.7,1367.07 1042.4,1367.55 1043.09,1368.02 1043.78,1368.47 1044.48,1368.9 1045.17,1369.32 1045.86,1369.72 1046.55,1370.11 1047.25,1370.48 1047.94,1370.83 1048.63,1371.17 1049.33,1371.5 1050.02,1371.8 1050.71,1372.1 1051.41,1372.37 1052.1,1372.63 1052.79,1372.88 1053.48,1373.11 1054.18,1373.32 1054.87,1373.52 1055.56,1373.7 1056.26,1373.87 1056.95,1374.02 1057.64,1374.15 1058.33,1374.27 1059.03,1374.38 1059.72,1374.46 1060.41,1374.54 1061.11,1374.6 1061.8,1374.64 1062.49,1374.66 1063.19,1374.67 1063.88,1374.67 1064.57,1374.65 1065.26,1374.61 1065.96,1374.56 1066.65,1374.5 1067.34,1374.42 1068.04,1374.32 1068.73,1374.21 1069.42,1374.08 1070.11,1373.94 1070.81,1373.78 1071.5,1373.6 1072.19,1373.42 1072.89,1373.21 1073.58,1372.99 1074.27,1372.76 1074.97,1372.51 1075.66,1372.24 1076.35,1371.97 1077.04,1371.67 1077.74,1371.36 1078.43,1371.04 1079.12,1370.7 1079.82,1370.34 1080.51,1369.97 1081.2,1369.59 1081.89,1369.19 1082.59,1368.78 1083.28,1368.35 1083.97,1367.91 1084.67,1367.45 1085.36,1366.98 1086.05,1366.49 1086.75,1365.99 1087.44,1365.47 1088.13,1364.94 1088.82,1364.4 1089.52,1363.84 1090.21,1363.26 1090.9,1362.67 1091.6,1362.07 1092.29,1361.45 1092.98,1360.82 1093.67,1360.18 1094.37,1359.52 1095.06,1358.84 1095.75,1358.15 1096.45,1357.45 1097.14,1356.74 1097.83,1356.01 1098.53,1355.26 1099.22,1354.5 1099.91,1353.73 1100.6,1352.95 1101.3,1352.15 1101.99,1351.33 1102.68,1350.51 1103.38,1349.67 1104.07,1348.81 1104.76,1347.94 1105.45,1347.06 1106.15,1346.17 1106.84,1345.26 1107.53,1344.34 1108.23,1343.4 1108.92,1342.46 1109.61,1341.5 1110.31,1340.52 1111,1339.53 1111.69,1338.53 1112.38,1337.52 1113.08,1336.49 1113.77,1335.45 1114.46,1334.4 1115.16,1333.34 1115.85,1332.26 1116.54,1331.17 1117.24,1330.06 1117.93,1328.95 1118.62,1327.82 1119.31,1326.68 1120.01,1325.53 1120.7,1324.36 1121.39,1323.18 1122.09,1321.99 1122.78,1320.79 1123.47,1319.57 1124.16,1318.35 1124.86,1317.11 1125.55,1315.86 1126.24,1314.6 1126.94,1313.32 1127.63,1312.03 1128.32,1310.74 1129.02,1309.43 1129.71,1308.1 1130.4,1306.77 1131.09,1305.43 1131.79,1304.07 1132.48,1302.7 1133.17,1301.32 1133.87,1299.93 1134.56,1298.53 1135.25,1297.12 1135.94,1295.7 1136.64,1294.26 1137.33,1292.81 1138.02,1291.36 1138.72,1289.89 1139.41,1288.41 1140.1,1286.92 1140.8,1285.42 1141.49,1283.91 1142.18,1282.39 1142.87,1280.86 1143.57,1279.32 1144.26,1277.77 1144.95,1276.2 1145.65,1274.63 1146.34,1273.05 1147.03,1271.46 1147.72,1269.85 1148.42,1268.24 1149.11,1266.62 1149.8,1264.99 1150.5,1263.34 1151.19,1261.69 1151.88,1260.03 1152.58,1258.36 1153.27,1256.68 1153.96,1254.99 1154.65,1253.29 1155.35,1251.58 1156.04,1249.86 1156.73,1248.14 1157.43,1246.4 1158.12,1244.66 1158.81,1242.9 1159.5,1241.14 1160.2,1239.37 1160.89,1237.59 1161.58,1235.8 1162.28,1234 1162.97,1232.2 1163.66,1230.38 1164.36,1228.56 1165.05,1226.73 1165.74,1224.89 1166.43,1223.04 1167.13,1221.19 1167.82,1219.33 1168.51,1217.45 1169.21,1215.58 1169.9,1213.69 1170.59,1211.8 1171.28,1209.89 1171.98,1207.98 1172.67,1206.07 1173.36,1204.14 1174.06,1202.21 1174.75,1200.27 1175.44,1198.33 1176.14,1196.37 1176.83,1194.41 1177.52,1192.45 1178.21,1190.47 1178.91,1188.49 1179.6,1186.5 1180.29,1184.51 1180.99,1182.51 1181.68,1180.5 1182.37,1178.49 1183.06,1176.47 1183.76,1174.44 1184.45,1172.41 1185.14,1170.37 1185.84,1168.33 1186.53,1166.28 1187.22,1164.22 1187.92,1162.16 1188.61,1160.09 1189.3,1158.02 1189.99,1155.94 1190.69,1153.85 1191.38,1151.76 1192.07,1149.67 1192.77,1147.57 1193.46,1145.46 1194.15,1143.35 1194.84,1141.23 1195.54,1139.11 1196.23,1136.98 1196.92,1134.85 1197.62,1132.72 1198.31,1130.58 1199,1128.43 1199.7,1126.28 1200.39,1124.13 1201.08,1121.97 1201.77,1119.81 1202.47,1117.64 1203.16,1115.47 1203.85,1113.3 1204.55,1111.12 1205.24,1108.93 1205.93,1106.75 1206.62,1104.56 1207.32,1102.36 1208.01,1100.17 1208.7,1097.97 1209.4,1095.76 1210.09,1093.55 1210.78,1091.34 1211.48,1089.13 1212.17,1086.91 1212.86,1084.69 1213.55,1082.47 1214.25,1080.24 1214.94,1078.01 1215.63,1075.78 1216.33,1073.54 1217.02,1071.31 1217.71,1069.07 1218.4,1066.83 1219.1,1064.58 1219.79,1062.33 1220.48,1060.08 1221.18,1057.83 1221.87,1055.58 1222.56,1053.33 1223.26,1051.07 1223.95,1048.81 1224.64,1046.55 1225.33,1044.29 1226.03,1042.02 1226.72,1039.76 1227.41,1037.49 1228.11,1035.22 1228.8,1032.95 1229.49,1030.68 1230.19,1028.41 1230.88,1026.14 1231.57,1023.86 1232.26,1021.59 1232.96,1019.31 1233.65,1017.03 1234.34,1014.76 1235.04,1012.48 1235.73,1010.2 1236.42,1007.92 1237.11,1005.64 1237.81,1003.36 1238.5,1001.08 1239.19,998.802 1239.89,996.522 1240.58,994.241 1241.27,991.961 1241.97,989.681 1242.66,987.401 1243.35,985.121 1244.04,982.841 1244.74,980.562 1245.43,978.283 1246.12,976.005 1246.82,973.728 1247.51,971.451 1248.2,969.174 1248.89,966.899 1249.59,964.625 1250.28,962.351 1250.97,960.078 1251.67,957.807 1252.36,955.537 1253.05,953.268 1253.75,951 1254.44,948.734 1255.13,946.469 1255.82,944.205 1256.52,941.943 1257.21,939.683 1257.9,937.424 1258.6,935.168 1259.29,932.913 1259.98,930.66 1260.67,928.409 1261.37,926.16 1262.06,923.913 1262.75,921.668 1263.45,919.426 1264.14,917.185 1264.83,914.948 1265.53,912.712 1266.22,910.479 1266.91,908.249 1267.6,906.021 1268.3,903.796 1268.99,901.574 1269.68,899.355 1270.38,897.138 1271.07,894.925 1271.76,892.714 1272.45,890.507 1273.15,888.302 1273.84,886.101 1274.53,883.903 1275.23,881.708 1275.92,879.517 1276.61,877.329 1277.31,875.145 1278,872.964 1278.69,870.787 1279.38,868.614 1280.08,866.444 1280.77,864.278 1281.46,862.116 1282.16,859.958 1282.85,857.804 1283.54,855.654 1284.23,853.507 1284.93,851.366 1285.62,849.228 1286.31,847.094 1287.01,844.965 1287.7,842.84 1288.39,840.72 1289.09,838.604 1289.78,836.492 1290.47,834.386 1291.16,832.283 1291.86,830.186 1292.55,828.093 1293.24,826.005 1293.94,823.922 1294.63,821.844 1295.32,819.771 1296.01,817.702 1296.71,815.639 1297.4,813.581 1298.09,811.528 1298.79,809.48 1299.48,807.438 1300.17,805.4 1300.87,803.369 1301.56,801.342 1302.25,799.321 1302.94,797.305 1303.64,795.296 1304.33,793.291 1305.02,791.292 1305.72,789.299 1306.41,787.312 1307.1,785.33 1307.79,783.355 1308.49,781.385 1309.18,779.421 1309.87,777.463 1310.57,775.51 1311.26,773.564 1311.95,771.625 1312.65,769.691 1313.34,767.763 1314.03,765.842 1314.72,763.926 1315.42,762.017 1316.11,760.115 1316.8,758.219 1317.5,756.329 1318.19,754.445 1318.88,752.568 1319.57,750.698 1320.27,748.834 1320.96,746.977 1321.65,745.126 1322.35,743.282 1323.04,741.445 1323.73,739.615 1324.43,737.791 1325.12,735.974 1325.81,734.164 1326.5,732.361 1327.2,730.565 1327.89,728.776 1328.58,726.993 1329.28,725.218 1329.97,723.45 1330.66,721.688 1331.36,719.934 1332.05,718.188 1332.74,716.448 1333.43,714.715 1334.13,712.99 1334.82,711.272 1335.51,709.561 1336.21,707.858 1336.9,706.161 1337.59,704.473 1338.28,702.791 1338.98,701.117 1339.67,699.451 1340.36,697.792 1341.06,696.14 1341.75,694.496 1342.44,692.86 1343.14,691.231 1343.83,689.61 1344.52,687.996 1345.21,686.39 1345.91,684.792 1346.6,683.201 1347.29,681.618 1347.99,680.043 1348.68,678.476 1349.37,676.916 1350.06,675.364 1350.76,673.82 1351.45,672.284 1352.14,670.755 1352.84,669.235 1353.53,667.722 1354.22,666.217 1354.92,664.72 1355.61,663.231 1356.3,661.75 1356.99,660.277 1357.69,658.812 1358.38,657.355 1359.07,655.906 1359.77,654.465 1360.46,653.032 1361.15,651.607 1361.84,650.19 1362.54,648.781 1363.23,647.38 1363.92,645.987 1364.62,644.603 1365.31,643.226 1366,641.858 1366.7,640.498 1367.39,639.145 1368.08,637.801 1368.77,636.466 1369.47,635.138 1370.16,633.818 1370.85,632.507 1371.55,631.204 1372.24,629.909 1372.93,628.622 1373.62,627.343 1374.32,626.073 1375.01,624.81 1375.7,623.556 1376.4,622.31 1377.09,621.073 1377.78,619.843 1378.48,618.622 1379.17,617.409 1379.86,616.204 1380.55,615.007 1381.25,613.819 1381.94,612.639 1382.63,611.467 1383.33,610.303 1384.02,609.147 1384.71,608 1385.4,606.861 1386.1,605.73 1386.79,604.607 1387.48,603.492 1388.18,602.386 1388.87,601.288 1389.56,600.197 1390.26,599.115 1390.95,598.042 1391.64,596.976 1392.33,595.919 1393.03,594.869 1393.72,593.828 1394.41,592.795 1395.11,591.77 1395.8,590.753 1396.49,589.744 1397.18,588.744 1397.88,587.751 1398.57,586.767 1399.26,585.79 1399.96,584.822 1400.65,583.861 1401.34,582.909 1402.04,581.964 1402.73,581.028 1403.42,580.1 1404.11,579.179 1404.81,578.266 1405.5,577.362 1406.19,576.465 1406.89,575.576 1407.58,574.696 1408.27,573.823 1408.96,572.957 1409.66,572.1 1410.35,571.25 1411.04,570.409 1411.74,569.575 1412.43,568.749 1413.12,567.93 1413.82,567.12 1414.51,566.317 1415.2,565.521 1415.89,564.734 1416.59,563.954 1417.28,563.181 1417.97,562.416 1418.67,561.659 1419.36,560.909 1420.05,560.167 1420.74,559.433 1421.44,558.705 1422.13,557.986 1422.82,557.274 1423.52,556.569 1424.21,555.871 1424.9,555.181 1425.6,554.498 1426.29,553.823 1426.98,553.155 1427.67,552.494 1428.37,551.84 1429.06,551.194 1429.75,550.554 1430.45,549.922 1431.14,549.297 1431.83,548.679 1432.52,548.068 1433.22,547.464 1433.91,546.867 1434.6,546.277 1435.3,545.694 1435.99,545.118 1436.68,544.549 1437.38,543.987 1438.07,543.431 1438.76,542.882 1439.45,542.34 1440.15,541.805 1440.84,541.276 1441.53,540.754 1442.23,540.239 1442.92,539.73 1443.61,539.228 1444.31,538.732 1445,538.243 1445.69,537.76 1446.38,537.283 1447.08,536.813 1447.77,536.35 1448.46,535.892 1449.16,535.441 1449.85,534.996 1450.54,534.557 1451.23,534.125 1451.93,533.698 1452.62,533.278 1453.31,532.863 1454.01,532.455 1454.7,532.052 1455.39,531.656 1456.09,531.265 1456.78,530.88 1457.47,530.501 1458.16,530.128 1458.86,529.76 1459.55,529.398 1460.24,529.042 1460.94,528.691 1461.63,528.346 1462.32,528.006 1463.01,527.672 1463.71,527.344 1464.4,527.02 1465.09,526.702 1465.79,526.389 1466.48,526.082 1467.17,525.78 1467.87,525.483 1468.56,525.191 1469.25,524.904 1469.94,524.622 1470.64,524.345 1471.33,524.073 1472.02,523.806 1472.72,523.544 1473.41,523.287 1474.1,523.034 1474.79,522.786 1475.49,522.543 1476.18,522.305 1476.87,522.071 1477.57,521.841 1478.26,521.616 1478.95,521.396 1479.65,521.18 1480.34,520.968 1481.03,520.761 1481.72,520.557 1482.42,520.358 1483.11,520.164 1483.8,519.973 1484.5,519.786 1485.19,519.604 1485.88,519.425 1486.57,519.25 1487.27,519.079 1487.96,518.912 1488.65,518.749 1489.35,518.589 1490.04,518.434 1490.73,518.281 1491.43,518.133 1492.12,517.987 1492.81,517.846 1493.5,517.707 1494.2,517.573 1494.89,517.441 1495.58,517.313 1496.28,517.188 1496.97,517.066 1497.66,516.947 1498.35,516.831 1499.05,516.719 1499.74,516.609 1500.43,516.502 1501.13,516.398 1501.82,516.297 1502.51,516.199 1503.21,516.104 1503.9,516.011 1504.59,515.92 1505.28,515.833 1505.98,515.747 1506.67,515.665 1507.36,515.584 1508.06,515.506 1508.75,515.431 1509.44,515.357 1510.13,515.286 1510.83,515.217 1511.52,515.15 1512.21,515.085 1512.91,515.022 1513.6,514.961 1514.29,514.902 1514.99,514.845 1515.68,514.79 1516.37,514.736 1517.06,514.684 1517.76,514.633 1518.45,514.585 1519.14,514.537 1519.84,514.491 1520.53,514.447 1521.22,514.404 1521.91,514.362 1522.61,514.322 1523.3,514.283 1523.99,514.245 1524.69,514.208 1525.38,514.172 1526.07,514.137 1526.77,514.103 1527.46,514.07 1528.15,514.038 1528.84,514.006 1529.54,513.976 1530.23,513.946 1530.92,513.916 1531.62,513.887 1532.31,513.859 1533,513.832 1533.69,513.804 1534.39,513.777 1535.08,513.751 1535.77,513.725 1536.47,513.699 1537.16,513.673 1537.85,513.647 1538.55,513.621 1539.24,513.596 1539.93,513.57 1540.62,513.544 1541.32,513.518 1542.01,513.492 1542.7,513.466 1543.4,513.439 1544.09,513.412 1544.78,513.385 1545.48,513.357 1546.17,513.329 1546.86,513.3 1547.55,513.271 1548.25,513.241 1548.94,513.21 1549.63,513.179 1550.33,513.146 1551.02,513.113 1551.71,513.079 1552.4,513.044 1553.1,513.009 1553.79,512.972 1554.48,512.934 1555.18,512.895 1555.87,512.854 1556.56,512.813 1557.26,512.77 1557.95,512.726 1558.64,512.68 1559.33,512.633 1560.03,512.585 1560.72,512.535 1561.41,512.484 1562.11,512.431 1562.8,512.376 1563.49,512.319 1564.18,512.261 1564.88,512.201 1565.57,512.139 1566.26,512.076 1566.96,512.01 1567.65,511.942 1568.34,511.873 1569.04,511.801 1569.73,511.727 1570.42,511.651 1571.11,511.573 1571.81,511.492 1572.5,511.409 1573.19,511.324 1573.89,511.237 1574.58,511.147 1575.27,511.054 1575.96,510.959 1576.66,510.862 1577.35,510.762 1578.04,510.659 1578.74,510.553 1579.43,510.445 1580.12,510.334 1580.82,510.22 1581.51,510.104 1582.2,509.984 1582.89,509.862 1583.59,509.736 1584.28,509.608 1584.97,509.476 1585.67,509.341 1586.36,509.204 1587.05,509.063 1587.74,508.918 1588.44,508.771 1589.13,508.62 1589.82,508.466 1590.52,508.308 1591.21,508.147 1591.9,507.983 1592.6,507.815 1593.29,507.644 1593.98,507.469 1594.67,507.29 1595.37,507.108 1596.06,506.922 1596.75,506.732 1597.45,506.539 1598.14,506.342 1598.83,506.141 1599.52,505.936 1600.22,505.727 1600.91,505.515 1601.6,505.298 1602.3,505.077 1602.99,504.853 1603.68,504.624 1604.38,504.391 1605.07,504.154 1605.76,503.913 1606.45,503.668 1607.15,503.419 1607.84,503.165 1608.53,502.907 1609.23,502.645 1609.92,502.378 1610.61,502.107 1611.3,501.832 1612,501.552 1612.69,501.268 1613.38,500.979 1614.08,500.685 1614.77,500.388 1615.46,500.085 1616.16,499.778 1616.85,499.467 1617.54,499.15 1618.23,498.829 1618.93,498.504 1619.62,498.173 1620.31,497.838 1621.01,497.498 1621.7,497.153 1622.39,496.804 1623.08,496.449 1623.78,496.09 1624.47,495.726 1625.16,495.357 1625.86,494.983 1626.55,494.604 1627.24,494.22 1627.94,493.831 1628.63,493.436 1629.32,493.037 1630.01,492.633 1630.71,492.224 1631.4,491.809 1632.09,491.39 1632.79,490.965 1633.48,490.535 1634.17,490.1 1634.86,489.66 1635.56,489.215 1636.25,488.764 1636.94,488.308 1637.64,487.847 1638.33,487.38 1639.02,486.909 1639.72,486.431 1640.41,485.949 1641.1,485.461 1641.79,484.968 1642.49,484.47 1643.18,483.966 1643.87,483.456 1644.57,482.942 1645.26,482.421 1645.95,481.896 1646.64,481.365 1647.34,480.828 1648.03,480.286 1648.72,479.739 1649.42,479.186 1650.11,478.628 1650.8,478.064 1651.5,477.494 1652.19,476.92 1652.88,476.339 1653.57,475.753 1654.27,475.162 1654.96,474.564 1655.65,473.962 1656.35,473.354 1657.04,472.74 1657.73,472.12 1658.43,471.496 1659.12,470.865 1659.81,470.229 1660.5,469.587 1661.2,468.94 1661.89,468.287 1662.58,467.629 1663.28,466.965 1663.97,466.295 1664.66,465.62 1665.35,464.939 1666.05,464.253 1666.74,463.561 1667.43,462.863 1668.13,462.16 1668.82,461.451 1669.51,460.737 1670.21,460.017 1670.9,459.292 1671.59,458.56 1672.28,457.824 1672.98,457.081 1673.67,456.334 1674.36,455.58 1675.06,454.821 1675.75,454.057 1676.44,453.287 1677.13,452.511 1677.83,451.73 1678.52,450.943 1679.21,450.151 1679.91,449.354 1680.6,448.551 1681.29,447.742 1681.99,446.928 1682.68,446.108 1683.37,445.283 1684.06,444.453 1684.76,443.617 1685.45,442.775 1686.14,441.929 1686.84,441.076 1687.53,440.219 1688.22,439.356 1688.91,438.488 1689.61,437.614 1690.3,436.735 1690.99,435.851 1691.69,434.961 1692.38,434.066 1693.07,433.166 1693.77,432.261 1694.46,431.35 1695.15,430.434 1695.84,429.513 1696.54,428.587 1697.23,427.655 1697.92,426.719 1698.62,425.777 1699.31,424.83 1700,423.878 1700.69,422.921 1701.39,421.959 1702.08,420.992 1702.77,420.02 1703.47,419.043 1704.16,418.061 1704.85,417.074 1705.55,416.082 1706.24,415.085 1706.93,414.084 1707.62,413.077 1708.32,412.066 1709.01,411.05 1709.7,410.029 1710.4,409.004 1711.09,407.973 1711.78,406.938 1712.47,405.899 1713.17,404.854 1713.86,403.806 1714.55,402.752 1715.25,401.694 1715.94,400.632 1716.63,399.565 1717.33,398.493 1718.02,397.417 1718.71,396.337 1719.4,395.252 1720.1,394.163 1720.79,393.07 1721.48,391.973 1722.18,390.871 1722.87,389.765 1723.56,388.655 1724.25,387.54 1724.95,386.422 1725.64,385.299 1726.33,384.173 1727.03,383.042 1727.72,381.908 1728.41,380.769 1729.11,379.627 1729.8,378.481 1730.49,377.331 1731.18,376.177 1731.88,375.02 1732.57,373.858 1733.26,372.693 1733.96,371.525 1734.65,370.353 1735.34,369.177 1736.03,367.998 1736.73,366.815 1737.42,365.629 1738.11,364.439 1738.81,363.246 1739.5,362.05 1740.19,360.851 1740.89,359.648 1741.58,358.442 1742.27,357.233 1742.96,356.021 1743.66,354.806 1744.35,353.588 1745.04,352.366 1745.74,351.142 1746.43,349.915 1747.12,348.686 1747.81,347.453 1748.51,346.218 1749.2,344.98 1749.89,343.739 1750.59,342.495 1751.28,341.25 1751.97,340.001 1752.67,338.75 1753.36,337.497 1754.05,336.241 1754.74,334.983 1755.44,333.723 1756.13,332.461 1756.82,331.196 1757.52,329.929 1758.21,328.66 1758.9,327.389 1759.6,326.116 1760.29,324.841 1760.98,323.565 1761.67,322.286 1762.37,321.006 1763.06,319.724 1763.75,318.44 1764.45,317.155 1765.14,315.868 1765.83,314.579 1766.52,313.289 1767.22,311.998 1767.91,310.705 1768.6,309.411 1769.3,308.116 1769.99,306.82 1770.68,305.522 1771.38,304.223 1772.07,302.924 1772.76,301.623 1773.45,300.321 1774.15,299.019 1774.84,297.715 1775.53,296.411 1776.23,295.107 1776.92,293.801 1777.61,292.495 1778.3,291.189 1779,289.882 1779.69,288.574 1780.38,287.266 1781.08,285.958 1781.77,284.65 1782.46,283.341 1783.16,282.032 1783.85,280.724 1784.54,279.415 1785.23,278.106 1785.93,276.797 1786.62,275.489 1787.31,274.181 1788.01,272.873 1788.7,271.565 1789.39,270.258 1790.08,268.951 1790.78,267.645 1791.47,266.339 1792.16,265.034 1792.86,263.73 1793.55,262.426 1794.24,261.123 1794.94,259.821 1795.63,258.52 1796.32,257.22 1797.01,255.921 1797.71,254.624 1798.4,253.327 1799.09,252.032 1799.79,250.738 1800.48,249.445 1801.17,248.154 1801.86,246.864 1802.56,245.576 1803.25,244.289 1803.94,243.004 1804.64,241.721 1805.33,240.44 1806.02,239.161 1806.72,237.883 1807.41,236.608 1808.1,235.334 1808.79,234.063 1809.49,232.794 1810.18,231.527 1810.87,230.262 1811.57,229 1812.26,227.741 1812.95,226.483 1813.64,225.229 1814.34,223.977 1815.03,222.727 1815.72,221.481 1816.42,220.237 1817.11,218.996 1817.8,217.758 1818.5,216.524 1819.19,215.292 1819.88,214.063 1820.57,212.838 1821.27,211.616 1821.96,210.397 1822.65,209.182 1823.35,207.97 1824.04,206.761 1824.73,205.557 1825.42,204.356 1826.12,203.158 1826.81,201.965 1827.5,200.775 1828.2,199.589 1828.89,198.407 1829.58,197.23 1830.28,196.056 1830.97,194.887 1831.66,193.721 1832.35,192.561 1833.05,191.404 1833.74,190.252 1834.43,189.105 1835.13,187.962 1835.82,186.823 1836.51,185.69 1837.2,184.561 1837.9,183.437 1838.59,182.318 1839.28,181.203 1839.98,180.094 1840.67,178.99 1841.36,177.891 1842.06,176.798 1842.75,175.709 1843.44,174.626 1844.13,173.549 1844.83,172.476 1845.52,171.41 1846.21,170.349 1846.91,169.293 1847.6,168.244 1848.29,167.2 1848.98,166.162 1849.68,165.13 1850.37,164.104 1851.06,163.084 1851.76,162.07 1852.45,161.062 1853.14,160.06 1853.84,159.065 1854.53,158.076 1855.22,157.094 1855.91,156.118 1856.61,155.149 1857.3,154.186 1857.99,153.23 1858.69,152.28 1859.38,151.338 1860.07,150.402 1860.76,149.473 1861.46,148.552 1862.15,147.637 1862.84,146.729 1863.54,145.829 1864.23,144.936 1864.92,144.05 1865.62,143.171 1866.31,142.3 1867,141.436 1867.69,140.58 1868.39,139.731 1869.08,138.89 1869.77,138.057 1870.47,137.232 1871.16,136.414 1871.85,135.604 1872.55,134.803 1873.24,134.009 1873.93,133.223 1874.62,132.446 1875.32,131.676 1876.01,130.915 1876.7,130.162 1877.4,129.418 1878.09,128.682 1878.78,127.954 1879.47,127.235 1880.17,126.525 1880.86,125.823 1881.55,125.13 1882.25,124.445 1882.94,123.77 1883.63,123.103 1884.33,122.445 1885.02,121.797 1885.71,121.157 1886.4,120.526 1887.1,119.905 1887.79,119.293 1888.48,118.69 1889.18,118.096 1889.87,117.511 1890.56,116.936 1891.25,116.371 1891.95,115.815 1892.64,115.269 1893.33,114.732 1894.03,114.205 1894.72,113.687 1895.41,113.18 1896.11,112.682 1896.8,112.194 1897.49,111.716 1898.18,111.248 1898.88,110.79 1899.57,110.343 1900.26,109.905 1900.96,109.477 1901.65,109.06 1902.34,108.653 1903.03,108.256 1903.73,107.87 1904.42,107.494 1905.11,107.129 1905.81,106.774 1906.5,106.43 1907.19,106.096 1907.89,105.773 1908.58,105.461 1909.27,105.159 1909.96,104.868 1910.66,104.588 1911.35,104.319 1912.04,104.061 1912.74,103.814 1913.43,103.578 1914.12,103.353 1914.81,103.139 1915.51,102.936 1916.2,102.744 1916.89,102.564 1917.59,102.395 1918.28,102.237 1918.97,102.091 1919.67,101.956 1920.36,101.832 1921.05,101.72 1921.74,101.619 1922.44,101.53 1923.13,101.452 1923.82,101.387 1924.52,101.332 1925.21,101.29 1925.9,101.259 1926.59,101.24 1927.29,101.233 1927.98,101.238 1928.67,101.254 1929.37,101.283 1930.06,101.323 1930.75,101.376 1931.45,101.44 1932.14,101.517 1932.83,101.605 1933.52,101.706 1934.22,101.819 1934.91,101.944 1935.6,102.081 1936.3,102.231 1936.99,102.393 1937.68,102.567 1938.37,102.753 1939.07,102.952 1939.76,103.163 1940.45,103.387 1941.15,103.623 1941.84,103.872 1942.53,104.133 1943.23,104.407 1943.92,104.693 1944.61,104.992 1945.3,105.303 1946,105.627 1946.69,105.964 1947.38,106.314 1948.08,106.676 1948.77,107.051 1949.46,107.439 1950.15,107.839 1950.85,108.252 1951.54,108.679 1952.23,109.118 1952.93,109.57 1953.62,110.034 1954.31,110.512 1955.01,111.003 1955.7,111.506 1956.39,112.023 1957.08,112.552 1957.78,113.095 1958.47,113.651 1959.16,114.219 1959.86,114.801 1960.55,115.396 1961.24,116.004 1961.93,116.625 1962.63,117.259 1963.32,117.906 1964.01,118.567 1964.71,119.24 1965.4,119.927 1966.09,120.627 1966.79,121.34 1967.48,122.066 1968.17,122.806 1968.86,123.559 1969.56,124.325 1970.25,125.104 1970.94,125.897 1971.64,126.703 1972.33,127.522 1973.02,128.354 1973.72,129.2 1974.41,130.059 1975.1,130.932 1975.79,131.817 1976.49,132.716 1977.18,133.629 1977.87,134.554 1978.57,135.493 1979.26,136.446 1979.95,137.411 1980.64,138.39 1981.34,139.383 1982.03,140.388 1982.72,141.407 1983.42,142.44 1984.11,143.485 1984.8,144.545 1985.5,145.617 1986.19,146.703 1986.88,147.802 1987.57,148.914 1988.27,150.04 1988.96,151.179 1989.65,152.332 1990.35,153.498 1991.04,154.677 1991.73,155.869 1992.42,157.075 1993.12,158.294 1993.81,159.526 1994.5,160.772 1995.2,162.031 1995.89,163.303 1996.58,164.588 1997.28,165.887 1997.97,167.199 1998.66,168.524 1999.35,169.862 2000.05,171.214 2000.74,172.579 2001.43,173.957 2002.13,175.348 2002.82,176.752 2003.51,178.17 2004.2,179.6 2004.9,181.044 2005.59,182.501 2006.28,183.971 2006.98,185.454 2007.67,186.95 2008.36,188.459 2009.06,189.981 2009.75,191.516 2010.44,193.064 2011.13,194.625 2011.83,196.199 2012.52,197.786 2013.21,199.386 2013.91,200.999 2014.6,202.625 2015.29,204.263 2015.98,205.914 2016.68,207.578 2017.37,209.255 2018.06,210.945 2018.76,212.647 2019.45,214.362 2020.14,216.09 2020.84,217.83 2021.53,219.583 2022.22,221.348 2022.91,223.126 2023.61,224.917 2024.3,226.72 2024.99,228.536 2025.69,230.364 2026.38,232.204 2027.07,234.057 2027.76,235.922 2028.46,237.8 2029.15,239.69 2029.84,241.592 2030.54,243.506 2031.23,245.433 2031.92,247.372 2032.62,249.322 2033.31,251.285 2034,253.26 2034.69,255.247 2035.39,257.246 2036.08,259.257 2036.77,261.28 2037.47,263.315 2038.16,265.362 2038.85,267.42 2039.54,269.49 2040.24,271.572 2040.93,273.666 2041.62,275.771 2042.32,277.888 2043.01,280.017 2043.7,282.156 2044.4,284.308 2045.09,286.471 2045.78,288.645 2046.47,290.831 2047.17,293.028 2047.86,295.236 2048.55,297.455 2049.25,299.686 2049.94,301.928 2050.63,304.18 2051.32,306.444 2052.02,308.719 2052.71,311.005 2053.4,313.302 2054.1,315.609 2054.79,317.928 2055.48,320.257 2056.18,322.596 2056.87,324.947 2057.56,327.308 2058.25,329.68 2058.95,332.062 2059.64,334.454 2060.33,336.857 2061.03,339.27 2061.72,341.694 2062.41,344.128 2063.1,346.572 2063.8,349.026 2064.49,351.49 2065.18,353.964 2065.88,356.449 2066.57,358.943 2067.26,361.447 2067.96,363.961 2068.65,366.484 2069.34,369.017 2070.03,371.56 2070.73,374.113 2071.42,376.674 2072.11,379.246 2072.81,381.827 2073.5,384.417 2074.19,387.016 2074.88,389.625 2075.58,392.242 2076.27,394.869 2076.96,397.505 2077.66,400.15 2078.35,402.804 2079.04,405.466 2079.74,408.138 2080.43,410.818 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1033.39,1360.07 1034.08,1360.74 1034.77,1361.39 1035.47,1362.03 1036.16,1362.65 1036.85,1363.26 1037.55,1363.85 1038.24,1364.43 1038.93,1364.99 1039.63,1365.53 1040.32,1366.06 1041.01,1366.57 1041.7,1367.07 1042.4,1367.55 1043.09,1368.02 1043.78,1368.47 1044.48,1368.9 1045.17,1369.32 1045.86,1369.72 1046.55,1370.11 1047.25,1370.48 1047.94,1370.83 1048.63,1371.17 1049.33,1371.5 1050.02,1371.8 1050.71,1372.1 1051.41,1372.37 1052.1,1372.63 1052.79,1372.88 1053.48,1373.11 1054.18,1373.32 1054.87,1373.52 1055.56,1373.7 1056.26,1373.87 1056.95,1374.02 1057.64,1374.15 1058.33,1374.27 1059.03,1374.38 1059.72,1374.46 1060.41,1374.54 1061.11,1374.6 1061.8,1374.64 1062.49,1374.66 1063.19,1374.67 1063.88,1374.67 1064.57,1374.65 1065.26,1374.61 1065.96,1374.56 1066.65,1374.5 1067.34,1374.42 1068.04,1374.32 1068.73,1374.21 1069.42,1374.08 1070.11,1373.94 1070.81,1373.78 1071.5,1373.6 1072.19,1373.42 1072.89,1373.21 1073.58,1372.99 1074.27,1372.76 1074.97,1372.51 1075.66,1372.24 1076.35,1371.97 1077.04,1371.67 1077.74,1371.36 1078.43,1371.04 1079.12,1370.7 1079.82,1370.34 1080.51,1369.97 1081.2,1369.59 1081.89,1369.19 1082.59,1368.78 1083.28,1368.35 1083.97,1367.91 1084.67,1367.45 1085.36,1366.98 1086.05,1366.49 1086.75,1365.99 1087.44,1365.47 1088.13,1364.94 1088.82,1364.4 1089.52,1363.84 1090.21,1363.26 1090.9,1362.67 1091.6,1362.07 1092.29,1361.45 1092.98,1360.82 1093.67,1360.18 1094.37,1359.52 1095.06,1358.84 1095.75,1358.15 1096.45,1357.45 1097.14,1356.74 1097.83,1356.01 1098.53,1355.26 1099.22,1354.5 1099.91,1353.73 1100.6,1352.95 1101.3,1352.15 1101.99,1351.33 1102.68,1350.51 1103.38,1349.67 1104.07,1348.81 1104.76,1347.94 1105.45,1347.06 1106.15,1346.17 1106.84,1345.26 1107.53,1344.34 1108.23,1343.4 1108.92,1342.46 1109.61,1341.5 1110.31,1340.52 1111,1339.53 1111.69,1338.53 1112.38,1337.52 1113.08,1336.49 1113.77,1335.45 1114.46,1334.4 1115.16,1333.34 1115.85,1332.26 1116.54,1331.17 1117.24,1330.06 1117.93,1328.95 1118.62,1327.82 1119.31,1326.68 1120.01,1325.53 1120.7,1324.36 1121.39,1323.18 1122.09,1321.99 1122.78,1320.79 1123.47,1319.57 1124.16,1318.35 1124.86,1317.11 1125.55,1315.86 1126.24,1314.6 1126.94,1313.32 1127.63,1312.03 1128.32,1310.74 1129.02,1309.43 1129.71,1308.1 1130.4,1306.77 1131.09,1305.43 1131.79,1304.07 1132.48,1302.7 1133.17,1301.32 1133.87,1299.93 1134.56,1298.53 1135.25,1297.12 1135.94,1295.7 1136.64,1294.26 1137.33,1292.81 1138.02,1291.36 1138.72,1289.89 1139.41,1288.41 1140.1,1286.92 1140.8,1285.42 1141.49,1283.91 1142.18,1282.39 1142.87,1280.86 1143.57,1279.32 1144.26,1277.77 1144.95,1276.2 1145.65,1274.63 1146.34,1273.05 1147.03,1271.46 1147.72,1269.85 1148.42,1268.24 1149.11,1266.62 1149.8,1264.99 1150.5,1263.34 1151.19,1261.69 1151.88,1260.03 1152.58,1258.36 1153.27,1256.68 1153.96,1254.99 1154.65,1253.29 1155.35,1251.58 1156.04,1249.86 1156.73,1248.14 1157.43,1246.4 1158.12,1244.66 1158.81,1242.9 1159.5,1241.14 1160.2,1239.37 1160.89,1237.59 1161.58,1235.8 1162.28,1234 1162.97,1232.2 1163.66,1230.38 1164.36,1228.56 1165.05,1226.73 1165.74,1224.89 1166.43,1223.04 1167.13,1221.19 1167.82,1219.33 1168.51,1217.45 1169.21,1215.58 1169.9,1213.69 1170.59,1211.8 1171.28,1209.89 1171.98,1207.98 1172.67,1206.07 1173.36,1204.14 1174.06,1202.21 1174.75,1200.27 1175.44,1198.33 1176.14,1196.37 1176.83,1194.41 1177.52,1192.45 1178.21,1190.47 1178.91,1188.49 1179.6,1186.5 1180.29,1184.51 1180.99,1182.51 1181.68,1180.5 1182.37,1178.49 1183.06,1176.47 1183.76,1174.44 1184.45,1172.41 1185.14,1170.37 1185.84,1168.33 1186.53,1166.28 1187.22,1164.22 1187.92,1162.16 1188.61,1160.09 1189.3,1158.02 1189.99,1155.94 1190.69,1153.85 1191.38,1151.76 1192.07,1149.67 1192.77,1147.57 1193.46,1145.46 1194.15,1143.35 1194.84,1141.23 1195.54,1139.11 1196.23,1136.98 1196.92,1134.85 1197.62,1132.72 1198.31,1130.58 1199,1128.43 1199.7,1126.28 1200.39,1124.13 1201.08,1121.97 1201.77,1119.81 1202.47,1117.64 1203.16,1115.47 1203.85,1113.3 1204.55,1111.12 1205.24,1108.93 1205.93,1106.75 1206.62,1104.56 1207.32,1102.36 1208.01,1100.17 1208.7,1097.97 1209.4,1095.76 1210.09,1093.55 1210.78,1091.34 1211.48,1089.13 1212.17,1086.91 1212.86,1084.69 1213.55,1082.47 1214.25,1080.24 1214.94,1078.01 1215.63,1075.78 1216.33,1073.54 1217.02,1071.31 1217.71,1069.07 1218.4,1066.83 1219.1,1064.58 1219.79,1062.33 1220.48,1060.08 1221.18,1057.83 1221.87,1055.58 1222.56,1053.33 1223.26,1051.07 1223.95,1048.81 1224.64,1046.55 1225.33,1044.29 1226.03,1042.02 1226.72,1039.76 1227.41,1037.49 1228.11,1035.22 1228.8,1032.95 1229.49,1030.68 1230.19,1028.41 1230.88,1026.14 1231.57,1023.86 1232.26,1021.59 1232.96,1019.31 1233.65,1017.03 1234.34,1014.76 1235.04,1012.48 1235.73,1010.2 1236.42,1007.92 1237.11,1005.64 1237.81,1003.36 1238.5,1001.08 1239.19,998.802 1239.89,996.522 1240.58,994.241 1241.27,991.961 1241.97,989.681 1242.66,987.401 1243.35,985.121 1244.04,982.841 1244.74,980.562 1245.43,978.283 1246.12,976.005 1246.82,973.728 1247.51,971.451 1248.2,969.174 1248.89,966.899 1249.59,964.625 1250.28,962.351 1250.97,960.078 1251.67,957.807 1252.36,955.537 1253.05,953.268 1253.75,951 1254.44,948.734 1255.13,946.469 1255.82,944.205 1256.52,941.943 1257.21,939.683 1257.9,937.424 1258.6,935.168 1259.29,932.913 1259.98,930.66 1260.67,928.409 1261.37,926.16 1262.06,923.913 1262.75,921.668 1263.45,919.426 1264.14,917.185 1264.83,914.948 1265.53,912.712 1266.22,910.479 1266.91,908.249 1267.6,906.021 1268.3,903.796 1268.99,901.574 1269.68,899.355 1270.38,897.138 1271.07,894.925 1271.76,892.714 1272.45,890.507 1273.15,888.302 1273.84,886.101 1274.53,883.903 1275.23,881.708 1275.92,879.517 1276.61,877.329 1277.31,875.145 1278,872.964 1278.69,870.787 1279.38,868.614 1280.08,866.444 1280.77,864.278 1281.46,862.116 1282.16,859.958 1282.85,857.804 1283.54,855.654 1284.23,853.507 1284.93,851.366 1285.62,849.228 1286.31,847.094 1287.01,844.965 1287.7,842.84 1288.39,840.72 1289.09,838.604 1289.78,836.492 1290.47,834.386 1291.16,832.283 1291.86,830.186 1292.55,828.093 1293.24,826.005 1293.94,823.922 1294.63,821.844 1295.32,819.771 1296.01,817.702 1296.71,815.639 1297.4,813.581 1298.09,811.528 1298.79,809.48 1299.48,807.438 1300.17,805.4 1300.87,803.369 1301.56,801.342 1302.25,799.321 1302.94,797.305 1303.64,795.296 1304.33,793.291 1305.02,791.292 1305.72,789.299 1306.41,787.312 1307.1,785.33 1307.79,783.355 1308.49,781.385 1309.18,779.421 1309.87,777.463 1310.57,775.51 1311.26,773.564 1311.95,771.625 1312.65,769.691 1313.34,767.763 1314.03,765.842 1314.72,763.926 1315.42,762.017 1316.11,760.115 1316.8,758.219 1317.5,756.329 1318.19,754.445 1318.88,752.568 1319.57,750.698 1320.27,748.834 1320.96,746.977 1321.65,745.126 1322.35,743.282 1323.04,741.445 1323.73,739.615 1324.43,737.791 1325.12,735.974 1325.81,734.164 1326.5,732.361 1327.2,730.565 1327.89,728.776 1328.58,726.993 1329.28,725.218 1329.97,723.45 1330.66,721.688 1331.36,719.934 1332.05,718.188 1332.74,716.448 1333.43,714.715 1334.13,712.99 1334.82,711.272 1335.51,709.561 1336.21,707.858 1336.9,706.161 1337.59,704.473 1338.28,702.791 1338.98,701.117 1339.67,699.451 1340.36,697.792 1341.06,696.14 1341.75,694.496 1342.44,692.86 1343.14,691.231 1343.83,689.61 1344.52,687.996 1345.21,686.39 1345.91,684.792 1346.6,683.201 1347.29,681.618 1347.99,680.043 1348.68,678.476 1349.37,676.916 1350.06,675.364 1350.76,673.82 1351.45,672.284 1352.14,670.755 1352.84,669.235 1353.53,667.722 1354.22,666.217 1354.92,664.72 1355.61,663.231 1356.3,661.75 1356.99,660.277 1357.69,658.812 1358.38,657.355 1359.07,655.906 1359.77,654.465 1360.46,653.032 1361.15,651.607 1361.84,650.19 1362.54,648.781 1363.23,647.38 1363.92,645.987 1364.62,644.603 1365.31,643.226 1366,641.858 1366.7,640.498 1367.39,639.145 1368.08,637.801 1368.77,636.466 1369.47,635.138 1370.16,633.818 1370.85,632.507 1371.55,631.204 1372.24,629.909 1372.93,628.622 1373.62,627.343 1374.32,626.073 1375.01,624.81 1375.7,623.556 1376.4,622.31 1377.09,621.073 1377.78,619.843 1378.48,618.622 1379.17,617.409 1379.86,616.204 1380.55,615.007 1381.25,613.819 1381.94,612.639 1382.63,611.467 1383.33,610.303 1384.02,609.147 1384.71,608 1385.4,606.861 1386.1,605.73 1386.79,604.607 1387.48,603.492 1388.18,602.386 1388.87,601.288 1389.56,600.197 1390.26,599.115 1390.95,598.042 1391.64,596.976 1392.33,595.919 1393.03,594.869 1393.72,593.828 1394.41,592.795 1395.11,591.77 1395.8,590.753 1396.49,589.744 1397.18,588.744 1397.88,587.751 1398.57,586.767 1399.26,585.79 1399.96,584.822 1400.65,583.861 1401.34,582.909 1402.04,581.964 1402.73,581.028 1403.42,580.1 1404.11,579.179 1404.81,578.266 1405.5,577.362 1406.19,576.465 1406.89,575.576 1407.58,574.696 1408.27,573.823 1408.96,572.957 1409.66,572.1 1410.35,571.25 1411.04,570.409 1411.74,569.575 1412.43,568.749 1413.12,567.93 1413.82,567.12 1414.51,566.317 1415.2,565.521 1415.89,564.734 1416.59,563.954 1417.28,563.181 1417.97,562.416 1418.67,561.659 1419.36,560.909 1420.05,560.167 1420.74,559.433 1421.44,558.705 1422.13,557.986 1422.82,557.274 1423.52,556.569 1424.21,555.871 1424.9,555.181 1425.6,554.498 1426.29,553.823 1426.98,553.155 1427.67,552.494 1428.37,551.84 1429.06,551.194 1429.75,550.554 1430.45,549.922 1431.14,549.297 1431.83,548.679 1432.52,548.068 1433.22,547.464 1433.91,546.867 1434.6,546.277 1435.3,545.694 1435.99,545.118 1436.68,544.549 1437.38,543.987 1438.07,543.431 1438.76,542.882 1439.45,542.34 1440.15,541.805 1440.84,541.276 1441.53,540.754 1442.23,540.239 1442.92,539.73 1443.61,539.228 1444.31,538.732 1445,538.243 1445.69,537.76 1446.38,537.283 1447.08,536.813 1447.77,536.35 1448.46,535.892 1449.16,535.441 1449.85,534.996 1450.54,534.557 1451.23,534.125 1451.93,533.698 1452.62,533.278 1453.31,532.863 1454.01,532.455 1454.7,532.052 1455.39,531.656 1456.09,531.265 1456.78,530.88 1457.47,530.501 1458.16,530.128 1458.86,529.76 1459.55,529.398 1460.24,529.042 1460.94,528.691 1461.63,528.346 1462.32,528.006 1463.01,527.672 1463.71,527.344 1464.4,527.02 1465.09,526.702 1465.79,526.389 1466.48,526.082 1467.17,525.78 1467.87,525.483 1468.56,525.191 1469.25,524.904 1469.94,524.622 1470.64,524.345 1471.33,524.073 1472.02,523.806 1472.72,523.544 1473.41,523.287 1474.1,523.034 1474.79,522.786 1475.49,522.543 1476.18,522.305 1476.87,522.071 1477.57,521.841 1478.26,521.616 1478.95,521.396 1479.65,521.18 1480.34,520.968 1481.03,520.761 1481.72,520.557 1482.42,520.358 1483.11,520.164 1483.8,519.973 1484.5,519.786 1485.19,519.604 1485.88,519.425 1486.57,519.25 1487.27,519.079 1487.96,518.912 1488.65,518.749 1489.35,518.589 1490.04,518.434 1490.73,518.281 1491.43,518.133 1492.12,517.987 1492.81,517.846 1493.5,517.707 1494.2,517.573 1494.89,517.441 1495.58,517.313 1496.28,517.188 1496.97,517.066 1497.66,516.947 1498.35,516.831 1499.05,516.719 1499.74,516.609 1500.43,516.502 1501.13,516.398 1501.82,516.297 1502.51,516.199 1503.21,516.104 1503.9,516.011 1504.59,515.92 1505.28,515.833 1505.98,515.747 1506.67,515.665 1507.36,515.584 1508.06,515.506 1508.75,515.431 1509.44,515.357 1510.13,515.286 1510.83,515.217 1511.52,515.15 1512.21,515.085 1512.91,515.022 1513.6,514.961 1514.29,514.902 1514.99,514.845 1515.68,514.79 1516.37,514.736 1517.06,514.684 1517.76,514.633 1518.45,514.585 1519.14,514.537 1519.84,514.491 1520.53,514.447 1521.22,514.404 1521.91,514.362 1522.61,514.322 1523.3,514.283 1523.99,514.245 1524.69,514.208 1525.38,514.172 1526.07,514.137 1526.77,514.103 1527.46,514.07 1528.15,514.038 1528.84,514.006 1529.54,513.976 1530.23,513.946 1530.92,513.916 1531.62,513.887 1532.31,513.859 1533,513.832 1533.69,513.804 1534.39,513.777 1535.08,513.751 1535.77,513.725 1536.47,513.699 1537.16,513.673 1537.85,513.647 1538.55,513.621 1539.24,513.596 1539.93,513.57 1540.62,513.544 1541.32,513.518 1542.01,513.492 1542.7,513.466 1543.4,513.439 1544.09,513.412 1544.78,513.385 1545.48,513.357 1546.17,513.329 1546.86,513.3 1547.55,513.271 1548.25,513.241 1548.94,513.21 1549.63,513.179 1550.33,513.146 1551.02,513.113 1551.71,513.079 1552.4,513.044 1553.1,513.009 1553.79,512.972 1554.48,512.934 1555.18,512.895 1555.87,512.854 1556.56,512.813 1557.26,512.77 1557.95,512.726 1558.64,512.68 1559.33,512.633 1560.03,512.585 1560.72,512.535 1561.41,512.484 1562.11,512.431 1562.8,512.376 1563.49,512.319 1564.18,512.261 1564.88,512.201 1565.57,512.139 1566.26,512.076 1566.96,512.01 1567.65,511.942 1568.34,511.873 1569.04,511.801 1569.73,511.727 1570.42,511.651 1571.11,511.573 1571.81,511.492 1572.5,511.409 1573.19,511.324 1573.89,511.237 1574.58,511.147 1575.27,511.054 1575.96,510.959 1576.66,510.862 1577.35,510.762 1578.04,510.659 1578.74,510.553 1579.43,510.445 1580.12,510.334 1580.82,510.22 1581.51,510.104 1582.2,509.984 1582.89,509.862 1583.59,509.736 1584.28,509.608 1584.97,509.476 1585.67,509.341 1586.36,509.204 1587.05,509.063 1587.74,508.918 1588.44,508.771 1589.13,508.62 1589.82,508.466 1590.52,508.308 1591.21,508.147 1591.9,507.983 1592.6,507.815 1593.29,507.644 1593.98,507.469 1594.67,507.29 1595.37,507.108 1596.06,506.922 1596.75,506.732 1597.45,506.539 1598.14,506.342 1598.83,506.141 1599.52,505.936 1600.22,505.727 1600.91,505.515 1601.6,505.298 1602.3,505.077 1602.99,504.853 1603.68,504.624 1604.38,504.391 1605.07,504.154 1605.76,503.913 1606.45,503.668 1607.15,503.419 1607.84,503.165 1608.53,502.907 1609.23,502.645 1609.92,502.378 1610.61,502.107 1611.3,501.832 1612,501.552 1612.69,501.268 1613.38,500.979 1614.08,500.685 1614.77,500.388 1615.46,500.085 1616.16,499.778 1616.85,499.467 1617.54,499.15 1618.23,498.829 1618.93,498.504 1619.62,498.173 1620.31,497.838 1621.01,497.498 1621.7,497.153 1622.39,496.804 1623.08,496.449 1623.78,496.09 1624.47,495.726 1625.16,495.357 1625.86,494.983 1626.55,494.604 1627.24,494.22 1627.94,493.831 1628.63,493.436 1629.32,493.037 1630.01,492.633 1630.71,492.224 1631.4,491.809 1632.09,491.39 1632.79,490.965 1633.48,490.535 1634.17,490.1 1634.86,489.66 1635.56,489.215 1636.25,488.764 1636.94,488.308 1637.64,487.847 1638.33,487.38 1639.02,486.909 1639.72,486.431 1640.41,485.949 1641.1,485.461 1641.79,484.968 1642.49,484.47 1643.18,483.966 1643.87,483.456 1644.57,482.942 1645.26,482.421 1645.95,481.896 1646.64,481.365 1647.34,480.828 1648.03,480.286 1648.72,479.739 1649.42,479.186 1650.11,478.628 1650.8,478.064 1651.5,477.494 1652.19,476.92 1652.88,476.339 1653.57,475.753 1654.27,475.162 1654.96,474.564 1655.65,473.962 1656.35,473.354 1657.04,472.74 1657.73,472.12 1658.43,471.496 1659.12,470.865 1659.81,470.229 1660.5,469.587 1661.2,468.94 1661.89,468.287 1662.58,467.629 1663.28,466.965 1663.97,466.295 1664.66,465.62 1665.35,464.939 1666.05,464.253 1666.74,463.561 1667.43,462.863 1668.13,462.16 1668.82,461.451 1669.51,460.737 1670.21,460.017 1670.9,459.292 1671.59,458.56 1672.28,457.824 1672.98,457.081 1673.67,456.334 1674.36,455.58 1675.06,454.821 1675.75,454.057 1676.44,453.287 1677.13,452.511 1677.83,451.73 1678.52,450.943 1679.21,450.151 1679.91,449.354 1680.6,448.551 1681.29,447.742 1681.99,446.928 1682.68,446.108 1683.37,445.283 1684.06,444.453 1684.76,443.617 1685.45,442.775 1686.14,441.929 1686.84,441.076 1687.53,440.219 1688.22,439.356 1688.91,438.488 1689.61,437.614 1690.3,436.735 1690.99,435.851 1691.69,434.961 1692.38,434.066 1693.07,433.166 1693.77,432.261 1694.46,431.35 1695.15,430.434 1695.84,429.513 1696.54,428.587 1697.23,427.655 1697.92,426.719 1698.62,425.777 1699.31,424.83 1700,423.878 1700.69,422.921 1701.39,421.959 1702.08,420.992 1702.77,420.02 1703.47,419.043 1704.16,418.061 1704.85,417.074 1705.55,416.082 1706.24,415.085 1706.93,414.084 1707.62,413.077 1708.32,412.066 1709.01,411.05 1709.7,410.029 1710.4,409.004 1711.09,407.973 1711.78,406.938 1712.47,405.899 1713.17,404.854 1713.86,403.806 1714.55,402.752 1715.25,401.694 1715.94,400.632 1716.63,399.565 1717.33,398.493 1718.02,397.417 1718.71,396.337 1719.4,395.252 1720.1,394.163 1720.79,393.07 1721.48,391.973 1722.18,390.871 1722.87,389.765 1723.56,388.655 1724.25,387.54 1724.95,386.422 1725.64,385.299 1726.33,384.173 1727.03,383.042 1727.72,381.908 1728.41,380.769 1729.11,379.627 1729.8,378.481 1730.49,377.331 1731.18,376.177 1731.88,375.02 1732.57,373.858 1733.26,372.693 1733.96,371.525 1734.65,370.353 1735.34,369.177 1736.03,367.998 1736.73,366.815 1737.42,365.629 1738.11,364.439 1738.81,363.246 1739.5,362.05 1740.19,360.851 1740.89,359.648 1741.58,358.442 1742.27,357.233 1742.96,356.021 1743.66,354.806 1744.35,353.588 1745.04,352.366 1745.74,351.142 1746.43,349.915 1747.12,348.686 1747.81,347.453 1748.51,346.218 1749.2,344.98 1749.89,343.739 1750.59,342.495 1751.28,341.25 1751.97,340.001 1752.67,338.75 1753.36,337.497 1754.05,336.241 1754.74,334.983 1755.44,333.723 1756.13,332.461 1756.82,331.196 1757.52,329.929 1758.21,328.66 1758.9,327.389 1759.6,326.116 1760.29,324.841 1760.98,323.565 1761.67,322.286 1762.37,321.006 1763.06,319.724 1763.75,318.44 1764.45,317.155 1765.14,315.868 1765.83,314.579 1766.52,313.289 1767.22,311.998 1767.91,310.705 1768.6,309.411 1769.3,308.116 1769.99,306.82 1770.68,305.522 1771.38,304.223 1772.07,302.924 1772.76,301.623 1773.45,300.321 1774.15,299.019 1774.84,297.715 1775.53,296.411 1776.23,295.107 1776.92,293.801 1777.61,292.495 1778.3,291.189 1779,289.882 1779.69,288.574 1780.38,287.266 1781.08,285.958 1781.77,284.65 1782.46,283.341 1783.16,282.032 1783.85,280.724 1784.54,279.415 1785.23,278.106 1785.93,276.797 1786.62,275.489 1787.31,274.181 1788.01,272.873 1788.7,271.565 1789.39,270.258 1790.08,268.951 1790.78,267.645 1791.47,266.339 1792.16,265.034 1792.86,263.73 1793.55,262.426 1794.24,261.123 1794.94,259.821 1795.63,258.52 1796.32,257.22 1797.01,255.921 1797.71,254.624 1798.4,253.327 1799.09,252.032 1799.79,250.738 1800.48,249.445 1801.17,248.154 1801.86,246.864 1802.56,245.576 1803.25,244.289 1803.94,243.004 1804.64,241.721 1805.33,240.44 1806.02,239.161 1806.72,237.883 1807.41,236.608 1808.1,235.334 1808.79,234.063 1809.49,232.794 1810.18,231.527 1810.87,230.262 1811.57,229 1812.26,227.741 1812.95,226.483 1813.64,225.229 1814.34,223.977 1815.03,222.727 1815.72,221.481 1816.42,220.237 1817.11,218.996 1817.8,217.758 1818.5,216.524 1819.19,215.292 1819.88,214.063 1820.57,212.838 1821.27,211.616 1821.96,210.397 1822.65,209.182 1823.35,207.97 1824.04,206.761 1824.73,205.557 1825.42,204.356 1826.12,203.158 1826.81,201.965 1827.5,200.775 1828.2,199.589 1828.89,198.407 1829.58,197.23 1830.28,196.056 1830.97,194.887 1831.66,193.721 1832.35,192.561 1833.05,191.404 1833.74,190.252 1834.43,189.105 1835.13,187.962 1835.82,186.823 1836.51,185.69 1837.2,184.561 1837.9,183.437 1838.59,182.318 1839.28,181.203 1839.98,180.094 1840.67,178.99 1841.36,177.891 1842.06,176.798 1842.75,175.709 1843.44,174.626 1844.13,173.549 1844.83,172.476 1845.52,171.41 1846.21,170.349 1846.91,169.293 1847.6,168.244 1848.29,167.2 1848.98,166.162 1849.68,165.13 1850.37,164.104 1851.06,163.084 1851.76,162.07 1852.45,161.062 1853.14,160.06 1853.84,159.065 1854.53,158.076 1855.22,157.094 1855.91,156.118 1856.61,155.149 1857.3,154.186 1857.99,153.23 1858.69,152.28 1859.38,151.338 1860.07,150.402 1860.76,149.473 1861.46,148.552 1862.15,147.637 1862.84,146.729 1863.54,145.829 1864.23,144.936 1864.92,144.05 1865.62,143.171 1866.31,142.3 1867,141.436 1867.69,140.58 1868.39,139.731 1869.08,138.89 1869.77,138.057 1870.47,137.232 1871.16,136.414 1871.85,135.604 1872.55,134.803 1873.24,134.009 1873.93,133.223 1874.62,132.446 1875.32,131.676 1876.01,130.915 1876.7,130.162 1877.4,129.418 1878.09,128.682 1878.78,127.954 1879.47,127.235 1880.17,126.525 1880.86,125.823 1881.55,125.13 1882.25,124.445 1882.94,123.77 1883.63,123.103 1884.33,122.445 1885.02,121.797 1885.71,121.157 1886.4,120.526 1887.1,119.905 1887.79,119.293 1888.48,118.69 1889.18,118.096 1889.87,117.511 1890.56,116.936 1891.25,116.371 1891.95,115.815 1892.64,115.269 1893.33,114.732 1894.03,114.205 1894.72,113.687 1895.41,113.18 1896.11,112.682 1896.8,112.194 1897.49,111.716 1898.18,111.248 1898.88,110.79 1899.57,110.343 1900.26,109.905 1900.96,109.477 1901.65,109.06 1902.34,108.653 1903.03,108.256 1903.73,107.87 1904.42,107.494 1905.11,107.129 1905.81,106.774 1906.5,106.43 1907.19,106.096 1907.89,105.773 1908.58,105.461 1909.27,105.159 1909.96,104.868 1910.66,104.588 1911.35,104.319 1912.04,104.061 1912.74,103.814 1913.43,103.578 1914.12,103.353 1914.81,103.139 1915.51,102.936 1916.2,102.744 1916.89,102.564 1917.59,102.395 1918.28,102.237 1918.97,102.091 1919.67,101.956 1920.36,101.832 1921.05,101.72 1921.74,101.619 1922.44,101.53 1923.13,101.452 1923.82,101.387 1924.52,101.332 1925.21,101.29 1925.9,101.259 1926.59,101.24 1927.29,101.233 1927.98,101.238 1928.67,101.254 1929.37,101.283 1930.06,101.323 1930.75,101.376 1931.45,101.44 1932.14,101.517 1932.83,101.605 1933.52,101.706 1934.22,101.819 1934.91,101.944 1935.6,102.081 1936.3,102.231 1936.99,102.393 1937.68,102.567 1938.37,102.753 1939.07,102.952 1939.76,103.163 1940.45,103.387 1941.15,103.623 1941.84,103.872 1942.53,104.133 1943.23,104.407 1943.92,104.693 1944.61,104.992 1945.3,105.303 1946,105.627 1946.69,105.964 1947.38,106.314 1948.08,106.676 1948.77,107.051 1949.46,107.439 1950.15,107.839 1950.85,108.252 1951.54,108.679 1952.23,109.118 1952.93,109.57 1953.62,110.034 1954.31,110.512 1955.01,111.003 1955.7,111.506 1956.39,112.023 1957.08,112.552 1957.78,113.095 1958.47,113.651 1959.16,114.219 1959.86,114.801 1960.55,115.396 1961.24,116.004 1961.93,116.625 1962.63,117.259 1963.32,117.906 1964.01,118.567 1964.71,119.24 1965.4,119.927 1966.09,120.627 1966.79,121.34 1967.48,122.066 1968.17,122.806 1968.86,123.559 1969.56,124.325 1970.25,125.104 1970.94,125.897 1971.64,126.703 1972.33,127.522 1973.02,128.354 1973.72,129.2 1974.41,130.059 1975.1,130.932 1975.79,131.817 1976.49,132.716 1977.18,133.629 1977.87,134.554 1978.57,135.493 1979.26,136.446 1979.95,137.411 1980.64,138.39 1981.34,139.383 1982.03,140.388 1982.72,141.407 1983.42,142.44 1984.11,143.485 1984.8,144.545 1985.5,145.617 1986.19,146.703 1986.88,147.802 1987.57,148.914 1988.27,150.04 1988.96,151.179 1989.65,152.332 1990.35,153.498 1991.04,154.677 1991.73,155.869 1992.42,157.075 1993.12,158.294 1993.81,159.526 1994.5,160.772 1995.2,162.031 1995.89,163.303 1996.58,164.588 1997.28,165.887 1997.97,167.199 1998.66,168.524 1999.35,169.862 2000.05,171.214 2000.74,172.579 2001.43,173.957 2002.13,175.348 2002.82,176.752 2003.51,178.17 2004.2,179.6 2004.9,181.044 2005.59,182.501 2006.28,183.971 2006.98,185.454 2007.67,186.95 2008.36,188.459 2009.06,189.981 2009.75,191.516 2010.44,193.064 2011.13,194.625 2011.83,196.199 2012.52,197.786 2013.21,199.386 2013.91,200.999 2014.6,202.625 2015.29,204.263 2015.98,205.914 2016.68,207.578 2017.37,209.255 2018.06,210.945 2018.76,212.647 2019.45,214.362 2020.14,216.09 2020.84,217.83 2021.53,219.583 2022.22,221.348 2022.91,223.126 2023.61,224.917 2024.3,226.72 2024.99,228.536 2025.69,230.364 2026.38,232.204 2027.07,234.057 2027.76,235.922 2028.46,237.8 2029.15,239.69 2029.84,241.592 2030.54,243.506 2031.23,245.433 2031.92,247.372 2032.62,249.322 2033.31,251.285 2034,253.26 2034.69,255.247 2035.39,257.246 2036.08,259.257 2036.77,261.28 2037.47,263.315 2038.16,265.362 2038.85,267.42 2039.54,269.49 2040.24,271.572 2040.93,273.666 2041.62,275.771 2042.32,277.888 2043.01,280.017 2043.7,282.156 2044.4,284.308 2045.09,286.471 2045.78,288.645 2046.47,290.831 2047.17,293.028 2047.86,295.236 2048.55,297.455 2049.25,299.686 2049.94,301.928 2050.63,304.18 2051.32,306.444 2052.02,308.719 2052.71,311.005 2053.4,313.302 2054.1,315.609 2054.79,317.928 2055.48,320.257 2056.18,322.596 2056.87,324.947 2057.56,327.308 2058.25,329.68 2058.95,332.062 2059.64,334.454 2060.33,336.857 2061.03,339.27 2061.72,341.694 2062.41,344.128 2063.1,346.572 2063.8,349.026 2064.49,351.49 2065.18,353.964 2065.88,356.449 2066.57,358.943 2067.26,361.447 2067.96,363.961 2068.65,366.484 2069.34,369.017 2070.03,371.56 2070.73,374.113 2071.42,376.674 2072.11,379.246 2072.81,381.827 2073.5,384.417 2074.19,387.016 2074.88,389.625 2075.58,392.242 2076.27,394.869 2076.96,397.505 2077.66,400.15 2078.35,402.804 2079.04,405.466 2079.74,408.138 2080.43,410.818 2081.12,413.507 2081.81,416.204 2082.51,418.91 2083.2,421.624 2083.89,424.347 2084.59,427.078 2085.28,429.817 2085.97,432.565 2086.67,435.32 2087.36,438.084 2088.05,440.856 2088.74,443.636 2089.44,446.423 2090.13,449.218 2090.82,452.022 2091.52,454.832 2092.21,457.651 2092.9,460.476 2093.59,463.31 2094.29,466.15 2094.98,468.998 2095.67,471.854 2096.37,474.716 2097.06,477.586 2097.75,480.462 2098.45,483.346 2099.14,486.236 2099.83,489.133 2100.52,492.037 2101.22,494.948 2101.91,497.865 2102.6,500.789 2103.3,503.719 2103.99,506.656 2104.68,509.598 2105.37,512.547 2106.07,515.503 2106.76,518.464 2107.45,521.431 2108.15,524.405 2108.84,527.384 2109.53,530.368 2110.23,533.359 2110.92,536.355 2111.61,539.357 2112.3,542.364 2113,545.377 2113.69,548.395 2114.38,551.418 2115.08,554.446 2115.77,557.479 2116.46,560.518 2117.15,563.561 2117.85,566.609 2118.54,569.662 2119.23,572.719 2119.93,575.781 2120.62,578.848 2121.31,581.919 2122.01,584.995 2122.7,588.074 2123.39,591.158 2124.08,594.246 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      ]
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "cell_type": "code",
   "source": [
    "plot(sol_secOrder; vars=(0, 1), xlab=\"time\")\n",
    "plot!(sol_firOrderA; vars=(0, 1))\n",
    "plot!(sol_firOrderB; vars=(0, 1))"
   ],
   "metadata": {},
   "execution_count": 7
  }
 ],
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