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@genkuroki
Created May 22, 2021 14:21
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{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A = Float64[\n 2 3\n 4 5\n]",
"execution_count": 1,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 1,
"data": {
"text/plain": "2×2 Matrix{Float64}:\n 2.0 3.0\n 4.0 5.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "B = Float64[\n 6 7\n 8 9\n]",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "2×2 Matrix{Float64}:\n 6.0 7.0\n 8.0 9.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A*B",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "2×2 Matrix{Float64}:\n 36.0 41.0\n 64.0 73.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "inv(A)*B",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "2×2 Matrix{Float64}:\n -3.0 -4.0\n 4.0 5.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A\\B",
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "2×2 Matrix{Float64}:\n -3.0 -4.0\n 4.0 5.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Plots\nn, d = 20, 3\nx = range(-π, π; length=n)\nX = x .^ (0:d)'\ny = sin.(x) + 0.3randn(n)\nb = X\\y\nf(x) = evalpoly(x, b)\nxs = range((extrema(x) .* 1.1)...; length=1000)\nplot(xs, f; label=\"degree-$d polynomial\")\nplot!(xs, sin; label=\"sin(x)\", ls=:dash)\nscatter!(x, y; label=\"sample\", color=:red)\nplot!(; legend=:topleft)",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
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257.073,493.016 259.112,500.392 261.151,507.728 263.189,515.023 265.228,522.277 267.267,529.491 269.305,536.665 271.344,543.798 273.383,550.892 \n 275.421,557.945 277.46,564.958 279.499,571.932 281.537,578.865 283.576,585.759 285.615,592.613 287.653,599.427 289.692,606.202 291.731,612.937 293.769,619.633 \n 295.808,626.29 297.847,632.907 299.885,639.486 301.924,646.025 303.963,652.525 306.001,658.987 308.04,665.409 310.079,671.793 312.117,678.138 314.156,684.445 \n 316.195,690.713 318.233,696.943 320.272,703.134 322.31,709.288 324.349,715.403 326.388,721.479 328.426,727.518 330.465,733.519 332.504,739.482 334.542,745.408 \n 336.581,751.295 338.62,757.146 340.658,762.958 342.697,768.733 344.736,774.471 346.774,780.171 348.813,785.834 350.852,791.46 352.89,797.05 354.929,802.602 \n 356.968,808.117 359.006,813.595 361.045,819.037 363.084,824.442 365.122,829.81 367.161,835.142 369.2,840.438 371.238,845.697 373.277,850.92 375.316,856.107 \n 377.354,861.257 379.393,866.372 381.432,871.451 383.47,876.494 385.509,881.501 387.548,886.472 389.586,891.408 391.625,896.308 393.664,901.173 395.702,906.003 \n 397.741,910.797 399.78,915.556 401.818,920.28 403.857,924.969 405.896,929.623 407.934,934.242 409.973,938.826 412.012,943.375 414.05,947.89 416.089,952.371 \n 418.128,956.816 420.166,961.228 422.205,965.605 424.244,969.948 426.282,974.256 428.321,978.531 430.36,982.771 432.398,986.978 434.437,991.151 436.476,995.29 \n 438.514,999.395 440.553,1003.47 442.592,1007.51 444.63,1011.51 446.669,1015.48 448.707,1019.42 450.746,1023.32 452.785,1027.2 454.823,1031.04 456.862,1034.84 \n 458.901,1038.61 460.939,1042.35 462.978,1046.06 465.017,1049.74 467.055,1053.38 469.094,1056.99 471.133,1060.57 473.171,1064.11 475.21,1067.62 477.249,1071.1 \n 479.287,1074.55 481.326,1077.97 483.365,1081.35 485.403,1084.71 487.442,1088.03 489.481,1091.32 491.519,1094.58 493.558,1097.8 495.597,1101 497.635,1104.16 \n 499.674,1107.29 501.713,1110.39 503.751,1113.46 505.79,1116.5 507.829,1119.51 509.867,1122.49 511.906,1125.43 513.945,1128.35 515.983,1131.23 518.022,1134.09 \n 520.061,1136.91 522.099,1139.7 524.138,1142.47 526.177,1145.2 528.215,1147.9 530.254,1150.58 532.293,1153.22 534.331,1155.83 536.37,1158.41 538.409,1160.97 \n 540.447,1163.49 542.486,1165.99 544.525,1168.45 546.563,1170.88 548.602,1173.29 550.641,1175.67 552.679,1178.01 554.718,1180.33 556.757,1182.62 558.795,1184.88 \n 560.834,1187.11 562.873,1189.31 564.911,1191.49 566.95,1193.63 568.989,1195.75 571.027,1197.84 573.066,1199.9 575.104,1201.93 577.143,1203.93 579.182,1205.91 \n 581.22,1207.85 583.259,1209.77 585.298,1211.66 587.336,1213.53 589.375,1215.36 591.414,1217.17 593.452,1218.95 595.491,1220.7 597.53,1222.43 599.568,1224.12 \n 601.607,1225.8 603.646,1227.44 605.684,1229.06 607.723,1230.64 609.762,1232.21 611.8,1233.74 613.839,1235.25 615.878,1236.73 617.916,1238.19 619.955,1239.62 \n 621.994,1241.02 624.032,1242.39 626.071,1243.74 628.11,1245.07 630.148,1246.36 632.187,1247.64 634.226,1248.88 636.264,1250.1 638.303,1251.29 640.342,1252.46 \n 642.38,1253.6 644.419,1254.72 646.458,1255.81 648.496,1256.88 650.535,1257.92 652.574,1258.93 654.612,1259.92 656.651,1260.89 658.69,1261.83 660.728,1262.74 \n 662.767,1263.63 664.806,1264.5 666.844,1265.34 668.883,1266.15 670.922,1266.94 672.96,1267.71 674.999,1268.45 677.038,1269.17 679.076,1269.86 681.115,1270.53 \n 683.154,1271.18 685.192,1271.8 687.231,1272.4 689.27,1272.97 691.308,1273.52 693.347,1274.05 695.385,1274.55 697.424,1275.03 699.463,1275.49 701.501,1275.92 \n 703.54,1276.33 705.579,1276.71 707.617,1277.08 709.656,1277.42 711.695,1277.73 713.733,1278.03 715.772,1278.3 717.811,1278.55 719.849,1278.77 721.888,1278.98 \n 723.927,1279.16 725.965,1279.32 728.004,1279.45 730.043,1279.57 732.081,1279.66 734.12,1279.73 736.159,1279.78 738.197,1279.81 740.236,1279.81 742.275,1279.79 \n 744.313,1279.75 746.352,1279.69 748.391,1279.61 750.429,1279.51 752.468,1279.38 754.507,1279.24 756.545,1279.07 758.584,1278.88 760.623,1278.67 762.661,1278.44 \n 764.7,1278.19 766.739,1277.92 768.777,1277.62 770.816,1277.31 772.855,1276.98 774.893,1276.62 776.932,1276.25 778.971,1275.85 781.009,1275.44 783.048,1275 \n 785.087,1274.55 787.125,1274.07 789.164,1273.58 791.203,1273.06 793.241,1272.53 795.28,1271.97 797.319,1271.4 799.357,1270.81 801.396,1270.19 803.435,1269.56 \n 805.473,1268.91 807.512,1268.24 809.551,1267.55 811.589,1266.84 813.628,1266.11 815.667,1265.37 817.705,1264.6 819.744,1263.82 821.782,1263.01 823.821,1262.19 \n 825.86,1261.35 827.898,1260.5 829.937,1259.62 831.976,1258.73 834.014,1257.81 836.053,1256.88 838.092,1255.93 840.13,1254.97 842.169,1253.98 844.208,1252.98 \n 846.246,1251.96 848.285,1250.92 850.324,1249.87 852.362,1248.8 854.401,1247.71 856.44,1246.6 858.478,1245.48 860.517,1244.34 862.556,1243.18 864.594,1242 \n 866.633,1240.81 868.672,1239.6 870.71,1238.38 872.749,1237.14 874.788,1235.88 876.826,1234.6 878.865,1233.31 880.904,1232 882.942,1230.68 884.981,1229.34 \n 887.02,1227.98 889.058,1226.61 891.097,1225.23 893.136,1223.82 895.174,1222.4 897.213,1220.97 899.252,1219.52 901.29,1218.05 903.329,1216.57 905.368,1215.07 \n 907.406,1213.56 909.445,1212.03 911.484,1210.49 913.522,1208.94 915.561,1207.36 917.6,1205.78 919.638,1204.17 921.677,1202.56 923.716,1200.93 925.754,1199.28 \n 927.793,1197.62 929.832,1195.95 931.87,1194.26 933.909,1192.56 935.948,1190.84 937.986,1189.11 940.025,1187.36 942.064,1185.61 944.102,1183.83 946.141,1182.05 \n 948.179,1180.25 950.218,1178.43 952.257,1176.61 954.295,1174.77 956.334,1172.91 958.373,1171.05 960.411,1169.17 962.45,1167.27 964.489,1165.37 966.527,1163.45 \n 968.566,1161.52 970.605,1159.57 972.643,1157.61 974.682,1155.64 976.721,1153.66 978.759,1151.67 980.798,1149.66 982.837,1147.64 984.875,1145.61 986.914,1143.56 \n 988.953,1141.51 990.991,1139.44 993.03,1137.36 995.069,1135.27 997.107,1133.17 999.146,1131.05 1001.18,1128.92 1003.22,1126.79 1005.26,1124.64 1007.3,1122.48 \n 1009.34,1120.3 1011.38,1118.12 1013.42,1115.93 1015.46,1113.72 1017.49,1111.51 1019.53,1109.28 1021.57,1107.04 1023.61,1104.79 1025.65,1102.53 1027.69,1100.27 \n 1029.73,1097.99 1031.76,1095.7 1033.8,1093.4 1035.84,1091.08 1037.88,1088.76 1039.92,1086.43 1041.96,1084.09 1044,1081.74 1046.04,1079.38 1048.07,1077.01 \n 1050.11,1074.63 1052.15,1072.24 1054.19,1069.84 1056.23,1067.44 1058.27,1065.02 1060.31,1062.59 1062.34,1060.16 1064.38,1057.71 1066.42,1055.26 1068.46,1052.79 \n 1070.5,1050.32 1072.54,1047.84 1074.58,1045.35 1076.62,1042.86 1078.65,1040.35 1080.69,1037.83 1082.73,1035.31 1084.77,1032.78 1086.81,1030.24 1088.85,1027.69 \n 1090.89,1025.14 1092.92,1022.57 1094.96,1020 1097,1017.42 1099.04,1014.84 1101.08,1012.24 1103.12,1009.64 1105.16,1007.03 1107.2,1004.41 1109.23,1001.79 \n 1111.27,999.159 1113.31,996.52 1115.35,993.874 1117.39,991.222 1119.43,988.562 1121.47,985.896 1123.5,983.223 1125.54,980.543 1127.58,977.857 1129.62,975.164 \n 1131.66,972.465 1133.7,969.759 1135.74,967.047 1137.77,964.329 1139.81,961.605 1141.85,958.875 1143.89,956.138 1145.93,953.396 1147.97,950.649 1150.01,947.895 \n 1152.05,945.136 1154.08,942.371 1156.12,939.601 1158.16,936.826 1160.2,934.045 1162.24,931.259 1164.28,928.468 1166.32,925.671 1168.35,922.87 1170.39,920.064 \n 1172.43,917.253 1174.47,914.437 1176.51,911.617 1178.55,908.792 1180.59,905.963 1182.63,903.129 1184.66,900.291 1186.7,897.448 1188.74,894.601 1190.78,891.751 \n 1192.82,888.896 1194.86,886.037 1196.9,883.175 1198.93,880.308 1200.97,877.438 1203.01,874.564 1205.05,871.687 1207.09,868.807 1209.13,865.923 1211.17,863.035 \n 1213.21,860.145 1215.24,857.251 1217.28,854.354 1219.32,851.454 1221.36,848.552 1223.4,845.646 1225.44,842.738 1227.48,839.827 1229.51,836.914 1231.55,833.998 \n 1233.59,831.079 1235.63,828.159 1237.67,825.236 1239.71,822.311 1241.75,819.383 1243.79,816.454 1245.82,813.523 1247.86,810.59 1249.9,807.655 1251.94,804.719 \n 1253.98,801.781 1256.02,798.841 1258.06,795.9 1260.09,792.957 1262.13,790.014 1264.17,787.069 1266.21,784.122 1268.25,781.175 1270.29,778.227 1272.33,775.278 \n 1274.37,772.328 1276.4,769.378 1278.44,766.426 1280.48,763.474 1282.52,760.522 1284.56,757.569 1286.6,754.616 1288.64,751.663 1290.67,748.71 1292.71,745.756 \n 1294.75,742.802 1296.79,739.849 1298.83,736.895 1300.87,733.942 1302.91,730.989 1304.95,728.037 1306.98,725.085 1309.02,722.133 1311.06,719.183 1313.1,716.233 \n 1315.14,713.283 1317.18,710.335 1319.22,707.387 1321.25,704.441 1323.29,701.495 1325.33,698.551 1327.37,695.608 1329.41,692.667 1331.45,689.727 1333.49,686.788 \n 1335.53,683.851 1337.56,680.916 1339.6,677.982 1341.64,675.05 1343.68,672.121 1345.72,669.193 1347.76,666.267 1349.8,663.343 1351.83,660.422 1353.87,657.503 \n 1355.91,654.586 1357.95,651.672 1359.99,648.76 1362.03,645.851 1364.07,642.945 1366.11,640.041 1368.14,637.141 1370.18,634.243 1372.22,631.348 1374.26,628.457 \n 1376.3,625.568 1378.34,622.683 1380.38,619.801 1382.41,616.923 1384.45,614.048 1386.49,611.177 1388.53,608.31 1390.57,605.446 1392.61,602.586 1394.65,599.73 \n 1396.68,596.878 1398.72,594.03 1400.76,591.186 1402.8,588.347 1404.84,585.511 1406.88,582.68 1408.92,579.854 1410.96,577.032 1412.99,574.215 1415.03,571.403 \n 1417.07,568.595 1419.11,565.792 1421.15,562.994 1423.19,560.202 1425.23,557.414 1427.26,554.631 1429.3,551.854 1431.34,549.082 1433.38,546.316 1435.42,543.555 \n 1437.46,540.8 1439.5,538.05 1441.54,535.306 1443.57,532.568 1445.61,529.836 1447.65,527.11 1449.69,524.39 1451.73,521.677 1453.77,518.969 1455.81,516.268 \n 1457.84,513.573 1459.88,510.884 1461.92,508.203 1463.96,505.527 1466,502.859 1468.04,500.197 1470.08,497.542 1472.12,494.895 1474.15,492.254 1476.19,489.62 \n 1478.23,486.994 1480.27,484.375 1482.31,481.763 1484.35,479.158 1486.39,476.561 1488.42,473.972 1490.46,471.391 1492.5,468.817 1494.54,466.251 1496.58,463.693 \n 1498.62,461.143 1500.66,458.601 1502.7,456.067 1504.73,453.542 1506.77,451.024 1508.81,448.516 1510.85,446.015 1512.89,443.524 1514.93,441.04 1516.97,438.566 \n 1519,436.1 1521.04,433.644 1523.08,431.196 1525.12,428.757 1527.16,426.328 1529.2,423.907 1531.24,421.496 1533.28,419.095 1535.31,416.702 1537.35,414.32 \n 1539.39,411.947 1541.43,409.583 1543.47,407.23 1545.51,404.886 1547.55,402.552 1549.58,400.228 1551.62,397.914 1553.66,395.611 1555.7,393.317 1557.74,391.034 \n 1559.78,388.762 1561.82,386.499 1563.86,384.248 1565.89,382.007 1567.93,379.777 1569.97,377.557 1572.01,375.349 1574.05,373.151 1576.09,370.965 1578.13,368.789 \n 1580.16,366.625 1582.2,364.472 1584.24,362.331 1586.28,360.201 1588.32,358.082 1590.36,355.976 1592.4,353.88 1594.44,351.797 1596.47,349.725 1598.51,347.666 \n 1600.55,345.618 1602.59,343.583 1604.63,341.559 1606.67,339.548 1608.71,337.549 1610.74,335.563 1612.78,333.589 1614.82,331.628 1616.86,329.679 1618.9,327.743 \n 1620.94,325.82 1622.98,323.91 1625.02,322.013 1627.05,320.129 1629.09,318.258 1631.13,316.4 1633.17,314.555 1635.21,312.724 1637.25,310.906 1639.29,309.102 \n 1641.32,307.312 1643.36,305.535 1645.4,303.772 1647.44,302.023 1649.48,300.287 1651.52,298.566 1653.56,296.859 1655.59,295.166 1657.63,293.487 1659.67,291.823 \n 1661.71,290.173 1663.75,288.537 1665.79,286.916 1667.83,285.31 1669.87,283.719 1671.9,282.142 1673.94,280.58 1675.98,279.033 1678.02,277.502 1680.06,275.985 \n 1682.1,274.484 1684.14,272.998 1686.17,271.527 1688.21,270.072 1690.25,268.632 1692.29,267.208 1694.33,265.799 1696.37,264.407 1698.41,263.03 1700.45,261.669 \n 1702.48,260.324 1704.52,258.996 1706.56,257.683 1708.6,256.387 1710.64,255.107 1712.68,253.843 1714.72,252.596 1716.75,251.366 1718.79,250.152 1720.83,248.955 \n 1722.87,247.775 1724.91,246.612 1726.95,245.465 1728.99,244.336 1731.03,243.224 1733.06,242.129 1735.1,241.052 1737.14,239.991 1739.18,238.949 1741.22,237.924 \n 1743.26,236.916 1745.3,235.926 1747.33,234.954 1749.37,234 1751.41,233.064 1753.45,232.145 1755.49,231.245 1757.53,230.363 1759.57,229.5 1761.61,228.654 \n 1763.64,227.827 1765.68,227.019 1767.72,226.229 1769.76,225.458 1771.8,224.706 1773.84,223.972 1775.88,223.257 1777.91,222.562 1779.95,221.885 1781.99,221.227 \n 1784.03,220.589 1786.07,219.97 1788.11,219.371 1790.15,218.791 1792.19,218.23 1794.22,217.689 1796.26,217.168 1798.3,216.667 1800.34,216.185 1802.38,215.723 \n 1804.42,215.282 1806.46,214.86 1808.49,214.459 1810.53,214.078 1812.57,213.717 1814.61,213.377 1816.65,213.057 1818.69,212.758 1820.73,212.48 1822.77,212.222 \n 1824.8,211.985 1826.84,211.769 1828.88,211.574 1830.92,211.4 1832.96,211.248 1835,211.116 1837.04,211.006 1839.07,210.917 1841.11,210.85 1843.15,210.804 \n 1845.19,210.78 1847.23,210.777 1849.27,210.797 1851.31,210.838 1853.35,210.901 1855.38,210.986 1857.42,211.094 1859.46,211.223 1861.5,211.375 1863.54,211.549 \n 1865.58,211.746 1867.62,211.965 1869.65,212.206 1871.69,212.471 1873.73,212.758 1875.77,213.068 1877.81,213.401 1879.85,213.756 1881.89,214.135 1883.92,214.537 \n 1885.96,214.963 1888,215.411 1890.04,215.883 1892.08,216.379 1894.12,216.898 1896.16,217.441 1898.2,218.007 1900.23,218.597 1902.27,219.211 1904.31,219.849 \n 1906.35,220.511 1908.39,221.198 1910.43,221.908 1912.47,222.643 1914.5,223.402 1916.54,224.185 1918.58,224.993 1920.62,225.826 1922.66,226.683 1924.7,227.565 \n 1926.74,228.472 1928.78,229.403 1930.81,230.36 1932.85,231.342 1934.89,232.349 1936.93,233.381 1938.97,234.439 1941.01,235.522 1943.05,236.63 1945.08,237.764 \n 1947.12,238.924 1949.16,240.109 1951.2,241.32 1953.24,242.558 1955.28,243.821 1957.32,245.11 1959.36,246.425 1961.39,247.766 1963.43,249.134 1965.47,250.528 \n 1967.51,251.948 1969.55,253.395 1971.59,254.869 1973.63,256.369 1975.66,257.896 1977.7,259.45 1979.74,261.031 1981.78,262.638 1983.82,264.273 1985.86,265.935 \n 1987.9,267.625 1989.94,269.341 1991.97,271.085 1994.01,272.857 1996.05,274.656 1998.09,276.483 2000.13,278.337 2002.17,280.219 2004.21,282.129 2006.24,284.067 \n 2008.28,286.033 2010.32,288.028 2012.36,290.05 2014.4,292.101 2016.44,294.18 2018.48,296.288 2020.52,298.424 2022.55,300.588 2024.59,302.782 2026.63,305.004 \n 2028.67,307.255 2030.71,309.535 2032.75,311.844 2034.79,314.182 2036.82,316.549 2038.86,318.945 2040.9,321.371 2042.94,323.826 2044.98,326.311 2047.02,328.825 \n 2049.06,331.369 2051.1,333.942 2053.13,336.546 2055.17,339.179 2057.21,341.842 2059.25,344.536 2061.29,347.259 2063.33,350.013 2065.37,352.797 2067.4,355.611 \n 2069.44,358.456 2071.48,361.331 2073.52,364.237 2075.56,367.174 2077.6,370.141 2079.64,373.139 2081.68,376.168 2083.71,379.228 2085.75,382.32 2087.79,385.442 \n 2089.83,388.596 2091.87,391.781 2093.91,394.997 2095.95,398.245 2097.98,401.525 2100.02,404.836 2102.06,408.178 2104.1,411.553 2106.14,414.96 2108.18,418.398 \n 2110.22,421.869 2112.26,425.372 2114.29,428.907 2116.33,432.474 2118.37,436.073 2120.41,439.705 2122.45,443.37 2124.49,447.067 2126.53,450.797 2128.56,454.56 \n 2130.6,458.355 2132.64,462.184 2134.68,466.045 2136.72,469.94 2138.76,473.868 2140.8,477.829 2142.83,481.823 2144.87,485.851 2146.91,489.912 2148.95,494.007 \n 2150.99,498.135 2153.03,502.298 2155.07,506.494 2157.11,510.724 2159.14,514.987 2161.18,519.285 2163.22,523.618 2165.26,527.984 2167.3,532.384 2169.34,536.819 \n 2171.38,541.289 2173.41,545.793 2175.45,550.332 2177.49,554.905 2179.53,559.513 2181.57,564.156 2183.61,568.834 2185.65,573.547 2187.69,578.295 2189.72,583.078 \n 2191.76,587.896 2193.8,592.75 2195.84,597.639 2197.88,602.564 2199.92,607.525 2201.96,612.52 2203.99,617.552 2206.03,622.62 2208.07,627.723 2210.11,632.863 \n 2212.15,638.038 2214.19,643.25 2216.23,648.497 2218.27,653.782 2220.3,659.102 2222.34,664.459 2224.38,669.853 2226.42,675.283 2228.46,680.75 2230.5,686.253 \n 2232.54,691.794 2234.57,697.371 2236.61,702.986 2238.65,708.637 2240.69,714.326 2242.73,720.052 2244.77,725.815 2246.81,731.616 2248.85,737.454 2250.88,743.33 \n 2252.92,749.244 2254.96,755.195 2257,761.184 2259.04,767.211 2261.08,773.276 2263.12,779.379 2265.15,785.52 2267.19,791.7 2269.23,797.918 2271.27,804.174 \n 2273.31,810.468 2275.35,816.801 2277.39,823.173 2279.43,829.584 2281.46,836.033 2283.5,842.521 2285.54,849.048 2287.58,855.614 2289.62,862.219 2291.66,868.864 \n \n \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" stroke-dasharray=\"16, 10\" points=\"\n 255.035,501.982 257.073,505.779 259.112,509.585 261.151,513.399 263.189,517.221 265.228,521.051 267.267,524.889 269.305,528.734 271.344,532.586 273.383,536.445 \n 275.421,540.311 277.46,544.184 279.499,548.063 281.537,551.949 283.576,555.84 285.615,559.738 287.653,563.641 289.692,567.55 291.731,571.465 293.769,575.384 \n 295.808,579.309 297.847,583.238 299.885,587.172 301.924,591.111 303.963,595.054 306.001,599.001 308.04,602.951 310.079,606.906 312.117,610.864 314.156,614.825 \n 316.195,618.789 318.233,622.757 320.272,626.727 322.31,630.699 324.349,634.674 326.388,638.651 328.426,642.631 330.465,646.612 332.504,650.594 334.542,654.578 \n 336.581,658.563 338.62,662.549 340.658,666.537 342.697,670.524 344.736,674.512 346.774,678.501 348.813,682.489 350.852,686.478 352.89,690.466 354.929,694.453 \n 356.968,698.44 359.006,702.426 361.045,706.411 363.084,710.395 365.122,714.377 367.161,718.358 369.2,722.337 371.238,726.314 373.277,730.288 375.316,734.26 \n 377.354,738.23 379.393,742.197 381.432,746.16 383.47,750.121 385.509,754.078 387.548,758.032 389.586,761.982 391.625,765.928 393.664,769.87 395.702,773.808 \n 397.741,777.741 399.78,781.67 401.818,785.594 403.857,789.512 405.896,793.426 407.934,797.334 409.973,801.236 412.012,805.133 414.05,809.023 416.089,812.908 \n 418.128,816.786 420.166,820.657 422.205,824.522 424.244,828.38 426.282,832.231 428.321,836.075 430.36,839.911 432.398,843.739 434.437,847.56 436.476,851.372 \n 438.514,855.177 440.553,858.973 442.592,862.76 444.63,866.539 446.669,870.309 448.707,874.069 450.746,877.821 452.785,881.563 454.823,885.295 456.862,889.017 \n 458.901,892.73 460.939,896.432 462.978,900.124 465.017,903.805 467.055,907.476 469.094,911.136 471.133,914.785 473.171,918.422 475.21,922.048 477.249,925.663 \n 479.287,929.266 481.326,932.857 483.365,936.436 485.403,940.002 487.442,943.556 489.481,947.098 491.519,950.626 493.558,954.142 495.597,957.645 497.635,961.134 \n 499.674,964.61 501.713,968.072 503.751,971.521 505.79,974.955 507.829,978.376 509.867,981.782 511.906,985.174 513.945,988.551 515.983,991.913 518.022,995.26 \n 520.061,998.593 522.099,1001.91 524.138,1005.21 526.177,1008.5 528.215,1011.77 530.254,1015.02 532.293,1018.26 534.331,1021.48 536.37,1024.69 538.409,1027.88 \n 540.447,1031.05 542.486,1034.21 544.525,1037.35 546.563,1040.47 548.602,1043.57 550.641,1046.66 552.679,1049.73 554.718,1052.78 556.757,1055.82 558.795,1058.83 \n 560.834,1061.83 562.873,1064.81 564.911,1067.77 566.95,1070.72 568.989,1073.64 571.027,1076.55 573.066,1079.43 575.104,1082.3 577.143,1085.15 579.182,1087.98 \n 581.22,1090.79 583.259,1093.58 585.298,1096.35 587.336,1099.1 589.375,1101.83 591.414,1104.53 593.452,1107.22 595.491,1109.89 597.53,1112.54 599.568,1115.17 \n 601.607,1117.78 603.646,1120.36 605.684,1122.93 607.723,1125.47 609.762,1127.99 611.8,1130.49 613.839,1132.97 615.878,1135.43 617.916,1137.87 619.955,1140.28 \n 621.994,1142.67 624.032,1145.04 626.071,1147.39 628.11,1149.71 630.148,1152.02 632.187,1154.3 634.226,1156.55 636.264,1158.79 638.303,1161 640.342,1163.19 \n 642.38,1165.35 644.419,1167.5 646.458,1169.61 648.496,1171.71 650.535,1173.78 652.574,1175.83 654.612,1177.85 656.651,1179.86 658.69,1181.83 660.728,1183.78 \n 662.767,1185.71 664.806,1187.62 666.844,1189.5 668.883,1191.35 670.922,1193.19 672.96,1194.99 674.999,1196.77 677.038,1198.53 679.076,1200.26 681.115,1201.97 \n 683.154,1203.66 685.192,1205.31 687.231,1206.95 689.27,1208.55 691.308,1210.14 693.347,1211.69 695.385,1213.22 697.424,1214.73 699.463,1216.21 701.501,1217.66 \n 703.54,1219.09 705.579,1220.5 707.617,1221.87 709.656,1223.22 711.695,1224.55 713.733,1225.85 715.772,1227.12 717.811,1228.37 719.849,1229.59 721.888,1230.78 \n 723.927,1231.95 725.965,1233.09 728.004,1234.21 730.043,1235.3 732.081,1236.36 734.12,1237.39 736.159,1238.4 738.197,1239.38 740.236,1240.34 742.275,1241.27 \n 744.313,1242.17 746.352,1243.04 748.391,1243.89 750.429,1244.71 752.468,1245.5 754.507,1246.27 756.545,1247.01 758.584,1247.72 760.623,1248.41 762.661,1249.07 \n 764.7,1249.7 766.739,1250.3 768.777,1250.88 770.816,1251.43 772.855,1251.95 774.893,1252.44 776.932,1252.91 778.971,1253.35 781.009,1253.76 783.048,1254.14 \n 785.087,1254.5 787.125,1254.83 789.164,1255.13 791.203,1255.41 793.241,1255.65 795.28,1255.87 797.319,1256.07 799.357,1256.23 801.396,1256.37 803.435,1256.48 \n 805.473,1256.56 807.512,1256.61 809.551,1256.64 811.589,1256.64 813.628,1256.61 815.667,1256.55 817.705,1256.47 819.744,1256.35 821.782,1256.22 823.821,1256.05 \n 825.86,1255.85 827.898,1255.63 829.937,1255.38 831.976,1255.11 834.014,1254.8 836.053,1254.47 838.092,1254.11 840.13,1253.72 842.169,1253.31 844.208,1252.87 \n 846.246,1252.4 848.285,1251.9 850.324,1251.38 852.362,1250.83 854.401,1250.25 856.44,1249.64 858.478,1249.01 860.517,1248.35 862.556,1247.66 864.594,1246.94 \n 866.633,1246.2 868.672,1245.43 870.71,1244.64 872.749,1243.81 874.788,1242.96 876.826,1242.09 878.865,1241.18 880.904,1240.25 882.942,1239.3 884.981,1238.31 \n 887.02,1237.3 889.058,1236.26 891.097,1235.2 893.136,1234.11 895.174,1232.99 897.213,1231.85 899.252,1230.67 901.29,1229.48 903.329,1228.26 905.368,1227.01 \n 907.406,1225.73 909.445,1224.43 911.484,1223.1 913.522,1221.75 915.561,1220.37 917.6,1218.96 919.638,1217.53 921.677,1216.08 923.716,1214.59 925.754,1213.08 \n 927.793,1211.55 929.832,1209.99 931.87,1208.41 933.909,1206.8 935.948,1205.16 937.986,1203.5 940.025,1201.82 942.064,1200.11 944.102,1198.37 946.141,1196.61 \n 948.179,1194.83 950.218,1193.02 952.257,1191.19 954.295,1189.33 956.334,1187.45 958.373,1185.54 960.411,1183.61 962.45,1181.65 964.489,1179.67 966.527,1177.67 \n 968.566,1175.64 970.605,1173.59 972.643,1171.52 974.682,1169.42 976.721,1167.3 978.759,1165.16 980.798,1162.99 982.837,1160.8 984.875,1158.59 986.914,1156.35 \n 988.953,1154.09 990.991,1151.81 993.03,1149.5 995.069,1147.18 997.107,1144.83 999.146,1142.45 1001.18,1140.06 1003.22,1137.64 1005.26,1135.21 1007.3,1132.75 \n 1009.34,1130.27 1011.38,1127.76 1013.42,1125.24 1015.46,1122.69 1017.49,1120.13 1019.53,1117.54 1021.57,1114.93 1023.61,1112.3 1025.65,1109.65 1027.69,1106.98 \n 1029.73,1104.29 1031.76,1101.58 1033.8,1098.85 1035.84,1096.09 1037.88,1093.32 1039.92,1090.53 1041.96,1087.72 1044,1084.89 1046.04,1082.04 1048.07,1079.17 \n 1050.11,1076.28 1052.15,1073.38 1054.19,1070.45 1056.23,1067.51 1058.27,1064.54 1060.31,1061.56 1062.34,1058.56 1064.38,1055.54 1066.42,1052.51 1068.46,1049.45 \n 1070.5,1046.38 1072.54,1043.29 1074.58,1040.19 1076.62,1037.06 1078.65,1033.92 1080.69,1030.76 1082.73,1027.59 1084.77,1024.4 1086.81,1021.19 1088.85,1017.97 \n 1090.89,1014.73 1092.92,1011.47 1094.96,1008.2 1097,1004.91 1099.04,1001.61 1101.08,998.29 1103.12,994.957 1105.16,991.608 1107.2,988.244 1109.23,984.866 \n 1111.27,981.473 1113.31,978.065 1115.35,974.644 1117.39,971.208 1119.43,967.758 1121.47,964.294 1123.5,960.817 1125.54,957.327 1127.58,953.823 1129.62,950.306 \n 1131.66,946.776 1133.7,943.234 1135.74,939.678 1137.77,936.111 1139.81,932.531 1141.85,928.939 1143.89,925.335 1145.93,921.719 1147.97,918.092 1150.01,914.454 \n 1152.05,910.804 1154.08,907.143 1156.12,903.471 1158.16,899.789 1160.2,896.096 1162.24,892.393 1164.28,888.679 1166.32,884.956 1168.35,881.223 1170.39,877.48 \n 1172.43,873.728 1174.47,869.966 1176.51,866.196 1178.55,862.416 1180.59,858.628 1182.63,854.831 1184.66,851.026 1186.7,847.213 1188.74,843.391 1190.78,839.562 \n 1192.82,835.725 1194.86,831.881 1196.9,828.03 1198.93,824.171 1200.97,820.306 1203.01,816.434 1205.05,812.555 1207.09,808.67 1209.13,804.779 1211.17,800.882 \n 1213.21,796.979 1215.24,793.07 1217.28,789.156 1219.32,785.237 1221.36,781.313 1223.4,777.384 1225.44,773.45 1227.48,769.512 1229.51,765.57 1231.55,761.623 \n 1233.59,757.673 1235.63,753.719 1237.67,749.761 1239.71,745.8 1241.75,741.836 1243.79,737.869 1245.82,733.899 1247.86,729.927 1249.9,725.952 1251.94,721.975 \n 1253.98,717.996 1256.02,714.015 1258.06,710.033 1260.09,706.049 1262.13,702.064 1264.17,698.078 1266.21,694.091 1268.25,690.103 1270.29,686.115 1272.33,682.127 \n 1274.37,678.138 1276.4,674.15 1278.44,670.162 1280.48,666.174 1282.52,662.187 1284.56,658.201 1286.6,654.216 1288.64,650.232 1290.67,646.25 1292.71,642.269 \n 1294.75,638.29 1296.79,634.313 1298.83,630.338 1300.87,626.366 1302.91,622.396 1304.95,618.429 1306.98,614.465 1309.02,610.504 1311.06,606.546 1313.1,602.592 \n 1315.14,598.642 1317.18,594.695 1319.22,590.753 1321.25,586.815 1323.29,582.881 1325.33,578.952 1327.37,575.028 1329.41,571.109 1331.45,567.195 1333.49,563.286 \n 1335.53,559.383 1337.56,555.486 1339.6,551.595 1341.64,547.71 1343.68,543.831 1345.72,539.959 1347.76,536.094 1349.8,532.235 1351.83,528.384 1353.87,524.54 \n 1355.91,520.703 1357.95,516.874 1359.99,513.052 1362.03,509.239 1364.07,505.434 1366.11,501.637 1368.14,497.849 1370.18,494.069 1372.22,490.299 1374.26,486.537 \n 1376.3,482.785 1378.34,479.042 1380.38,475.309 1382.41,471.586 1384.45,467.872 1386.49,464.169 1388.53,460.476 1390.57,456.794 1392.61,453.122 1394.65,449.461 \n 1396.68,445.811 1398.72,442.173 1400.76,438.546 1402.8,434.93 1404.84,431.326 1406.88,427.734 1408.92,424.154 1410.96,420.587 1412.99,417.032 1415.03,413.489 \n 1417.07,409.959 1419.11,406.442 1421.15,402.938 1423.19,399.448 1425.23,395.971 1427.26,392.507 1429.3,389.057 1431.34,385.621 1433.38,382.2 1435.42,378.792 \n 1437.46,375.399 1439.5,372.021 1441.54,368.657 1443.57,365.308 1445.61,361.975 1447.65,358.656 1449.69,355.353 1451.73,352.065 1453.77,348.793 1455.81,345.537 \n 1457.84,342.297 1459.88,339.074 1461.92,335.866 1463.96,332.675 1466,329.501 1468.04,326.343 1470.08,323.202 1472.12,320.079 1474.15,316.973 1476.19,313.884 \n 1478.23,310.812 1480.27,307.758 1482.31,304.722 1484.35,301.704 1486.39,298.705 1488.42,295.723 1490.46,292.76 1492.5,289.815 1494.54,286.889 1496.58,283.982 \n 1498.62,281.094 1500.66,278.225 1502.7,275.375 1504.73,272.544 1506.77,269.733 1508.81,266.942 1510.85,264.17 1512.89,261.419 1514.93,258.687 1516.97,255.976 \n 1519,253.285 1521.04,250.614 1523.08,247.964 1525.12,245.334 1527.16,242.726 1529.2,240.138 1531.24,237.571 1533.28,235.026 1535.31,232.502 1537.35,229.999 \n 1539.39,227.518 1541.43,225.058 1543.47,222.621 1545.51,220.205 1547.55,217.811 1549.58,215.439 1551.62,213.09 1553.66,210.763 1555.7,208.458 1557.74,206.176 \n 1559.78,203.916 1561.82,201.68 1563.86,199.466 1565.89,197.276 1567.93,195.108 1569.97,192.964 1572.01,190.843 1574.05,188.745 1576.09,186.671 1578.13,184.62 \n 1580.16,182.594 1582.2,180.591 1584.24,178.612 1586.28,176.657 1588.32,174.726 1590.36,172.819 1592.4,170.937 1594.44,169.078 1596.47,167.245 1598.51,165.436 \n 1600.55,163.651 1602.59,161.892 1604.63,160.157 1606.67,158.447 1608.71,156.762 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1737.14,103.628 1739.18,103.654 1741.22,103.708 \n 1743.26,103.79 1745.3,103.899 1747.33,104.036 1749.37,104.2 1751.41,104.392 1753.45,104.611 1755.49,104.858 1757.53,105.132 1759.57,105.434 1761.61,105.764 \n 1763.64,106.121 1765.68,106.505 1767.72,106.917 1769.76,107.357 1771.8,107.823 1773.84,108.318 1775.88,108.839 1777.91,109.388 1779.95,109.964 1781.99,110.568 \n 1784.03,111.198 1786.07,111.856 1788.11,112.542 1790.15,113.254 1792.19,113.993 1794.22,114.76 1796.26,115.554 1798.3,116.374 1800.34,117.222 1802.38,118.097 \n 1804.42,118.998 1806.46,119.926 1808.49,120.882 1810.53,121.864 1812.57,122.872 1814.61,123.908 1816.65,124.97 1818.69,126.058 1820.73,127.173 1822.77,128.315 \n 1824.8,129.483 1826.84,130.677 1828.88,131.897 1830.92,133.144 1832.96,134.417 1835,135.716 1837.04,137.042 1839.07,138.393 1841.11,139.77 1843.15,141.173 \n 1845.19,142.602 1847.23,144.056 1849.27,145.536 1851.31,147.042 1853.35,148.573 1855.38,150.13 1857.42,151.712 1859.46,153.319 1861.5,154.952 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