beta-prime.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 37,
   "source": [
    "import Pkg; Pkg.add(\"SpecialFunctions\")\n",
    "using SpecialFunctions, Plots\n",
    "default(size=(480,200))"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.6/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.6/Manifest.toml`\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Let's take a [standard](https://erikbern.com/2018/03/27/waiting-time-load-factor-and-queueing-theory.html) [result](https://www.sigarch.org/three-other-models-of-computer-system-performance-part-2) from queueing theory and say that the latency is a function of the load factor, $f$, defined as the ratio of arrival rate to service rate.\n",
    "\n",
    "$$Latency \\propto \\frac{1}{1-f}$$\n",
    "\n",
    "Latencies fly off to infinity when the load factor approaches 1. Makes sense because if the requests arrive faster than they can be serviced then the queue will grow until something else gives.\n",
    "\n",
    "Now we might assume there is some dispersal in the load factor due to the natural burstiness of incoming traffic. We don't want to model this noise with a normal distribution because our load factor is strictly between 0 and 1. A better choice is the [beta distribution](https://en.wikipedia.org/wiki/Beta_distribution) which has exactly that property and just so happens to nicely approximate the normal distribution if we [choose the right parameters](https://www.johndcook.com/blog/normal_approx_to_beta/).\n",
    "\n",
    "Now what happens to the distribution of latencies? Well, luck would have it that the transformation of the beta distribution by the formula above gives us the so called [beta-prime distribution](https://en.wikipedia.org/wiki/Beta_prime_distribution) (up to a constant translation representing the minimum latency). And that approximates a LogNormal distribution surprisingly well, especially around the tail."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "source": [
    "p=10; q=10\n",
    "betad(x) = (x^(p-1) * (1 - x)^(q-1))/beta(p, q)\n",
    "\n",
    "plot(0:0.01:1, betad, label=\"Beta($p,$q)\")"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip070\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip070)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip071\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip070)\" d=\"\nM106.081 707.408 L1872.76 707.408 L1872.76 47.2441 L106.081 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip072\">\n    <rect x=\"106\" y=\"47\" width=\"1768\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.081,707.408 156.081,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  572.75,707.408 572.75,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  989.418,707.408 989.418,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1406.09,707.408 1406.09,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1822.76,707.408 1822.76,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.081,707.408 156.081,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  572.75,707.408 572.75,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  989.418,707.408 989.418,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1406.09,707.408 1406.09,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1822.76,707.408 1822.76,699.486 \n  \"/>\n<path clip-path=\"url(#clip070)\" d=\"M 0 0 M124.091 732.759 Q120.479 732.759 118.651 736.323 Q116.845 739.865 116.845 746.995 Q116.845 754.101 118.651 757.666 Q120.479 761.207 124.091 761.207 Q127.725 761.207 129.53 757.666 Q131.359 754.101 131.359 746.995 Q131.359 739.865 129.53 736.323 Q127.725 732.759 124.091 732.759 M124.091 729.055 Q129.901 729.055 132.956 733.661 Q136.035 738.245 136.035 746.995 Q136.035 755.721 132.956 760.328 Q129.901 764.911 124.091 764.911 Q118.28 764.911 115.202 760.328 Q112.146 755.721 112.146 746.995 Q112.146 738.245 115.202 733.661 Q118.28 729.055 124.091 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M141.104 758.36 L145.989 758.36 L145.989 764.24 L141.104 764.24 L141.104 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M161.058 732.759 Q157.447 732.759 155.618 736.323 Q153.813 739.865 153.813 746.995 Q153.813 754.101 155.618 757.666 Q157.447 761.207 161.058 761.207 Q164.692 761.207 166.498 757.666 Q168.326 754.101 168.326 746.995 Q168.326 739.865 166.498 736.323 Q164.692 732.759 161.058 732.759 M161.058 729.055 Q166.868 729.055 169.924 733.661 Q173.002 738.245 173.002 746.995 Q173.002 755.721 169.924 760.328 Q166.868 764.911 161.058 764.911 Q155.248 764.911 152.169 760.328 Q149.114 755.721 149.114 746.995 Q149.114 738.245 152.169 733.661 Q155.248 729.055 161.058 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M188.072 732.759 Q184.461 732.759 182.632 736.323 Q180.826 739.865 180.826 746.995 Q180.826 754.101 182.632 757.666 Q184.461 761.207 188.072 761.207 Q191.706 761.207 193.511 757.666 Q195.34 754.101 195.34 746.995 Q195.34 739.865 193.511 736.323 Q191.706 732.759 188.072 732.759 M188.072 729.055 Q193.882 729.055 196.937 733.661 Q200.016 738.245 200.016 746.995 Q200.016 755.721 196.937 760.328 Q193.882 764.911 188.072 764.911 Q182.262 764.911 179.183 760.328 Q176.127 755.721 176.127 746.995 Q176.127 738.245 179.183 733.661 Q182.262 729.055 188.072 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M542.055 732.759 Q538.444 732.759 536.616 736.323 Q534.81 739.865 534.81 746.995 Q534.81 754.101 536.616 757.666 Q538.444 761.207 542.055 761.207 Q545.69 761.207 547.495 757.666 Q549.324 754.101 549.324 746.995 Q549.324 739.865 547.495 736.323 Q545.69 732.759 542.055 732.759 M542.055 729.055 Q547.866 729.055 550.921 733.661 Q554 738.245 554 746.995 Q554 755.721 550.921 760.328 Q547.866 764.911 542.055 764.911 Q536.245 764.911 533.167 760.328 Q530.111 755.721 530.111 746.995 Q530.111 738.245 533.167 733.661 Q536.245 729.055 542.055 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M559.069 758.36 L563.954 758.36 L563.954 764.24 L559.069 764.24 L559.069 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M573.051 760.305 L589.37 760.305 L589.37 764.24 L567.426 764.24 L567.426 760.305 Q570.088 757.55 574.671 752.92 Q579.278 748.268 580.458 746.925 Q582.703 744.402 583.583 742.666 Q584.486 740.907 584.486 739.217 Q584.486 736.462 582.541 734.726 Q580.62 732.99 577.518 732.99 Q575.319 732.99 572.865 733.754 Q570.435 734.518 567.657 736.069 L567.657 731.347 Q570.481 730.212 572.935 729.634 Q575.389 729.055 577.426 729.055 Q582.796 729.055 585.99 731.74 Q589.185 734.425 589.185 738.916 Q589.185 741.046 588.375 742.967 Q587.588 744.865 585.481 747.458 Q584.902 748.129 581.801 751.346 Q578.699 754.541 573.051 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M594.486 729.68 L612.842 729.68 L612.842 733.615 L598.768 733.615 L598.768 742.087 Q599.787 741.74 600.805 741.578 Q601.824 741.393 602.842 741.393 Q608.629 741.393 612.009 744.564 Q615.388 747.735 615.388 753.152 Q615.388 758.731 611.916 761.832 Q608.444 764.911 602.125 764.911 Q599.949 764.911 597.68 764.541 Q595.435 764.17 593.027 763.43 L593.027 758.731 Q595.111 759.865 597.333 760.42 Q599.555 760.976 602.032 760.976 Q606.037 760.976 608.375 758.87 Q610.713 756.763 610.713 753.152 Q610.713 749.541 608.375 747.434 Q606.037 745.328 602.032 745.328 Q600.157 745.328 598.282 745.745 Q596.43 746.161 594.486 747.041 L594.486 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M957.926 732.759 Q954.314 732.759 952.486 736.323 Q950.68 739.865 950.68 746.995 Q950.68 754.101 952.486 757.666 Q954.314 761.207 957.926 761.207 Q961.56 761.207 963.365 757.666 Q965.194 754.101 965.194 746.995 Q965.194 739.865 963.365 736.323 Q961.56 732.759 957.926 732.759 M957.926 729.055 Q963.736 729.055 966.791 733.661 Q969.87 738.245 969.87 746.995 Q969.87 755.721 966.791 760.328 Q963.736 764.911 957.926 764.911 Q952.115 764.911 949.037 760.328 Q945.981 755.721 945.981 746.995 Q945.981 738.245 949.037 733.661 Q952.115 729.055 957.926 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M974.939 758.36 L979.824 758.36 L979.824 764.24 L974.939 764.24 L974.939 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M984.939 729.68 L1003.3 729.68 L1003.3 733.615 L989.222 733.615 L989.222 742.087 Q990.24 741.74 991.259 741.578 Q992.277 741.393 993.296 741.393 Q999.083 741.393 1002.46 744.564 Q1005.84 747.735 1005.84 753.152 Q1005.84 758.731 1002.37 761.832 Q998.898 764.911 992.578 764.911 Q990.402 764.911 988.134 764.541 Q985.888 764.17 983.481 763.43 L983.481 758.731 Q985.564 759.865 987.786 760.42 Q990.009 760.976 992.486 760.976 Q996.49 760.976 998.828 758.87 Q1001.17 756.763 1001.17 753.152 Q1001.17 749.541 998.828 747.434 Q996.49 745.328 992.486 745.328 Q990.611 745.328 988.736 745.745 Q986.884 746.161 984.939 747.041 L984.939 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1020.91 732.759 Q1017.3 732.759 1015.47 736.323 Q1013.67 739.865 1013.67 746.995 Q1013.67 754.101 1015.47 757.666 Q1017.3 761.207 1020.91 761.207 Q1024.55 761.207 1026.35 757.666 Q1028.18 754.101 1028.18 746.995 Q1028.18 739.865 1026.35 736.323 Q1024.55 732.759 1020.91 732.759 M1020.91 729.055 Q1026.72 729.055 1029.78 733.661 Q1032.86 738.245 1032.86 746.995 Q1032.86 755.721 1029.78 760.328 Q1026.72 764.911 1020.91 764.911 Q1015.1 764.911 1012.02 760.328 Q1008.97 755.721 1008.97 746.995 Q1008.97 738.245 1012.02 733.661 Q1015.1 729.055 1020.91 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1375.05 732.759 Q1371.43 732.759 1369.61 736.323 Q1367.8 739.865 1367.8 746.995 Q1367.8 754.101 1369.61 757.666 Q1371.43 761.207 1375.05 761.207 Q1378.68 761.207 1380.49 757.666 Q1382.31 754.101 1382.31 746.995 Q1382.31 739.865 1380.49 736.323 Q1378.68 732.759 1375.05 732.759 M1375.05 729.055 Q1380.86 729.055 1383.91 733.661 Q1386.99 738.245 1386.99 746.995 Q1386.99 755.721 1383.91 760.328 Q1380.86 764.911 1375.05 764.911 Q1369.24 764.911 1366.16 760.328 Q1363.1 755.721 1363.1 746.995 Q1363.1 738.245 1366.16 733.661 Q1369.24 729.055 1375.05 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1392.06 758.36 L1396.94 758.36 L1396.94 764.24 L1392.06 764.24 L1392.06 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1400.83 729.68 L1423.05 729.68 L1423.05 731.671 L1410.51 764.24 L1405.62 764.24 L1417.43 733.615 L1400.83 733.615 L1400.83 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1428.17 729.68 L1446.53 729.68 L1446.53 733.615 L1432.45 733.615 L1432.45 742.087 Q1433.47 741.74 1434.49 741.578 Q1435.51 741.393 1436.53 741.393 Q1442.31 741.393 1445.69 744.564 Q1449.07 747.735 1449.07 753.152 Q1449.07 758.731 1445.6 761.832 Q1442.13 764.911 1435.81 764.911 Q1433.63 764.911 1431.36 764.541 Q1429.12 764.17 1426.71 763.43 L1426.71 758.731 Q1428.8 759.865 1431.02 760.42 Q1433.24 760.976 1435.72 760.976 Q1439.72 760.976 1442.06 758.87 Q1444.4 756.763 1444.4 753.152 Q1444.4 749.541 1442.06 747.434 Q1439.72 745.328 1435.72 745.328 Q1433.84 745.328 1431.97 745.745 Q1430.11 746.161 1428.17 747.041 L1428.17 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1781.15 760.305 L1788.79 760.305 L1788.79 733.939 L1780.48 735.606 L1780.48 731.347 L1788.74 729.68 L1793.42 729.68 L1793.42 760.305 L1801.05 760.305 L1801.05 764.24 L1781.15 764.24 L1781.15 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1806.12 758.36 L1811.01 758.36 L1811.01 764.24 L1806.12 764.24 L1806.12 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1826.08 732.759 Q1822.47 732.759 1820.64 736.323 Q1818.83 739.865 1818.83 746.995 Q1818.83 754.101 1820.64 757.666 Q1822.47 761.207 1826.08 761.207 Q1829.71 761.207 1831.52 757.666 Q1833.35 754.101 1833.35 746.995 Q1833.35 739.865 1831.52 736.323 Q1829.71 732.759 1826.08 732.759 M1826.08 729.055 Q1831.89 729.055 1834.94 733.661 Q1838.02 738.245 1838.02 746.995 Q1838.02 755.721 1834.94 760.328 Q1831.89 764.911 1826.08 764.911 Q1820.27 764.911 1817.19 760.328 Q1814.13 755.721 1814.13 746.995 Q1814.13 738.245 1817.19 733.661 Q1820.27 729.055 1826.08 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1853.09 732.759 Q1849.48 732.759 1847.65 736.323 Q1845.85 739.865 1845.85 746.995 Q1845.85 754.101 1847.65 757.666 Q1849.48 761.207 1853.09 761.207 Q1856.73 761.207 1858.53 757.666 Q1860.36 754.101 1860.36 746.995 Q1860.36 739.865 1858.53 736.323 Q1856.73 732.759 1853.09 732.759 M1853.09 729.055 Q1858.9 729.055 1861.96 733.661 Q1865.04 738.245 1865.04 746.995 Q1865.04 755.721 1861.96 760.328 Q1858.9 764.911 1853.09 764.911 Q1847.28 764.911 1844.2 760.328 Q1841.15 755.721 1841.15 746.995 Q1841.15 738.245 1844.2 733.661 Q1847.28 729.055 1853.09 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  106.081,688.724 1872.76,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  106.081,511.991 1872.76,511.991 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  106.081,335.258 1872.76,335.258 \n  \"/>\n<polyline clip-path=\"url(#clip072)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  106.081,158.526 1872.76,158.526 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,707.408 106.081,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,688.724 127.281,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,511.991 127.281,511.991 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,335.258 127.281,335.258 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  106.081,158.526 127.281,158.526 \n  \"/>\n<path clip-path=\"url(#clip070)\" d=\"M 0 0 M65.3365 674.523 Q61.7254 674.523 59.8967 678.087 Q58.0912 681.629 58.0912 688.759 Q58.0912 695.865 59.8967 699.43 Q61.7254 702.972 65.3365 702.972 Q68.9707 702.972 70.7763 699.43 Q72.605 695.865 72.605 688.759 Q72.605 681.629 70.7763 678.087 Q68.9707 674.523 65.3365 674.523 M65.3365 670.819 Q71.1467 670.819 74.2022 675.425 Q77.2809 680.009 77.2809 688.759 Q77.2809 697.486 74.2022 702.092 Q71.1467 706.675 65.3365 706.675 Q59.5264 706.675 56.4477 702.092 Q53.3921 697.486 53.3921 688.759 Q53.3921 680.009 56.4477 675.425 Q59.5264 670.819 65.3365 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M57.3736 525.336 L65.0124 525.336 L65.0124 498.97 L56.7023 500.637 L56.7023 496.378 L64.9661 494.711 L69.642 494.711 L69.642 525.336 L77.2809 525.336 L77.2809 529.271 L57.3736 529.271 L57.3736 525.336 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M60.9615 348.603 L77.2809 348.603 L77.2809 352.538 L55.3366 352.538 L55.3366 348.603 Q57.9986 345.849 62.5819 341.219 Q67.1883 336.566 68.3689 335.224 Q70.6143 332.701 71.4939 330.964 Q72.3967 329.205 72.3967 327.515 Q72.3967 324.761 70.4522 323.025 Q68.5309 321.289 65.4291 321.289 Q63.23 321.289 60.7763 322.052 Q58.3458 322.816 55.568 324.367 L55.568 319.645 Q58.3921 318.511 60.8458 317.932 Q63.2995 317.353 65.3365 317.353 Q70.7068 317.353 73.9013 320.039 Q77.0957 322.724 77.0957 327.214 Q77.0957 329.344 76.2855 331.265 Q75.4985 333.163 73.392 335.756 Q72.8133 336.427 69.7115 339.645 Q66.6096 342.839 60.9615 348.603 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M70.1513 157.171 Q73.5078 157.889 75.3827 160.157 Q77.2809 162.426 77.2809 165.759 Q77.2809 170.875 73.7624 173.676 Q70.2439 176.477 63.7624 176.477 Q61.5865 176.477 59.2717 176.037 Q56.9801 175.62 54.5264 174.764 L54.5264 170.25 Q56.4708 171.384 58.7856 171.963 Q61.1004 172.542 63.6236 172.542 Q68.0217 172.542 70.3133 170.806 Q72.6281 169.069 72.6281 165.759 Q72.6281 162.704 70.4754 160.991 Q68.3457 159.255 64.5263 159.255 L60.4986 159.255 L60.4986 155.412 L64.7115 155.412 Q68.1606 155.412 69.9893 154.046 Q71.818 152.658 71.818 150.065 Q71.818 147.403 69.9198 145.991 Q68.0448 144.556 64.5263 144.556 Q62.605 144.556 60.406 144.972 Q58.2069 145.389 55.568 146.269 L55.568 142.102 Q58.2301 141.361 60.5449 140.991 Q62.8828 140.621 64.943 140.621 Q70.267 140.621 73.3689 143.051 Q76.4707 145.458 76.4707 149.579 Q76.4707 152.449 74.8272 154.44 Q73.1837 156.408 70.1513 157.171 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip072)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.081,688.724 172.748,688.724 189.415,688.724 206.081,688.724 222.748,688.724 239.415,688.724 256.082,688.723 272.748,688.721 289.415,688.714 306.082,688.697 \n  322.749,688.661 339.415,688.589 356.082,688.457 372.749,688.23 389.416,687.856 406.082,687.27 422.749,686.388 439.416,685.105 456.083,683.296 472.749,680.817 \n  489.416,677.505 506.083,673.182 522.75,667.66 539.416,660.744 556.083,652.239 572.75,641.962 589.417,629.74 606.083,615.431 622.75,598.919 639.417,580.133 \n  656.083,559.048 672.75,535.692 689.417,510.151 706.084,482.573 722.75,453.169 739.417,422.211 756.084,390.029 772.751,357.008 789.417,323.581 806.084,290.217 \n  822.751,257.417 839.418,225.695 856.084,195.571 872.751,167.559 889.418,142.146 906.085,119.789 922.751,100.896 939.418,85.8184 956.085,74.8391 972.752,68.1665 \n  989.418,65.928 1006.09,68.1665 1022.75,74.8391 1039.42,85.8184 1056.09,100.896 1072.75,119.789 1089.42,142.146 1106.09,167.559 1122.75,195.571 1139.42,225.695 \n  1156.09,257.417 1172.75,290.217 1189.42,323.581 1206.09,357.008 1222.75,390.029 1239.42,422.211 1256.09,453.169 1272.75,482.573 1289.42,510.151 1306.09,535.692 \n  1322.75,559.048 1339.42,580.133 1356.09,598.919 1372.75,615.431 1389.42,629.74 1406.09,641.962 1422.75,652.239 1439.42,660.744 1456.09,667.66 1472.75,673.182 \n  1489.42,677.505 1506.09,680.817 1522.75,683.296 1539.42,685.105 1556.09,686.388 1572.75,687.27 1589.42,687.856 1606.09,688.23 1622.75,688.457 1639.42,688.589 \n  1656.09,688.661 1672.75,688.697 1689.42,688.714 1706.09,688.721 1722.76,688.723 1739.42,688.724 1756.09,688.724 1772.76,688.724 1789.42,688.724 1806.09,688.724 \n  1822.76,688.724 \n  \"/>\n<path clip-path=\"url(#clip070)\" d=\"\nM1379.05 190.21 L1813.87 190.21 L1813.87 69.2496 L1379.05 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1379.05,190.21 1813.87,190.21 1813.87,69.2496 1379.05,69.2496 1379.05,190.21 \n  \"/>\n<polyline clip-path=\"url(#clip070)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1398.68,129.73 1516.46,129.73 \n  \"/>\n<path clip-path=\"url(#clip070)\" d=\"M 0 0 M1540.77 130.505 L1540.77 143.167 L1548.27 143.167 Q1552.04 143.167 1553.84 141.616 Q1555.67 140.042 1555.67 136.824 Q1555.67 133.584 1553.84 132.056 Q1552.04 130.505 1548.27 130.505 L1540.77 130.505 M1540.77 116.292 L1540.77 126.709 L1547.69 126.709 Q1551.11 126.709 1552.78 125.436 Q1554.47 124.139 1554.47 121.5 Q1554.47 118.885 1552.78 117.588 Q1551.11 116.292 1547.69 116.292 L1540.77 116.292 M1536.09 112.45 L1548.03 112.45 Q1553.38 112.45 1556.28 114.672 Q1559.17 116.894 1559.17 120.991 Q1559.17 124.162 1557.69 126.037 Q1556.21 127.912 1553.34 128.375 Q1556.78 129.116 1558.68 131.477 Q1560.6 133.815 1560.6 137.334 Q1560.6 141.963 1557.46 144.486 Q1554.31 147.01 1548.5 147.01 L1536.09 147.01 L1536.09 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1587.25 132.982 L1587.25 135.065 L1567.66 135.065 Q1567.94 139.463 1570.3 141.778 Q1572.69 144.07 1576.92 144.07 Q1579.38 144.07 1581.67 143.468 Q1583.98 142.866 1586.25 141.662 L1586.25 145.69 Q1583.96 146.662 1581.55 147.172 Q1579.15 147.681 1576.67 147.681 Q1570.46 147.681 1566.83 144.07 Q1563.22 140.459 1563.22 134.301 Q1563.22 127.936 1566.65 124.209 Q1570.09 120.459 1575.93 120.459 Q1581.16 120.459 1584.19 123.838 Q1587.25 127.195 1587.25 132.982 M1582.99 131.732 Q1582.94 128.237 1581.02 126.153 Q1579.12 124.07 1575.97 124.07 Q1572.41 124.07 1570.26 126.084 Q1568.13 128.098 1567.8 131.755 L1582.99 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1595.93 113.723 L1595.93 121.084 L1604.7 121.084 L1604.7 124.394 L1595.93 124.394 L1595.93 138.468 Q1595.93 141.639 1596.78 142.542 Q1597.66 143.445 1600.33 143.445 L1604.7 143.445 L1604.7 147.01 L1600.33 147.01 Q1595.4 147.01 1593.52 145.181 Q1591.65 143.329 1591.65 138.468 L1591.65 124.394 L1588.52 124.394 L1588.52 121.084 L1591.65 121.084 L1591.65 113.723 L1595.93 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1620.95 133.977 Q1615.79 133.977 1613.8 135.158 Q1611.81 136.338 1611.81 139.186 Q1611.81 141.454 1613.29 142.797 Q1614.79 144.116 1617.36 144.116 Q1620.9 144.116 1623.03 141.616 Q1625.19 139.093 1625.19 134.926 L1625.19 133.977 L1620.95 133.977 M1629.45 132.218 L1629.45 147.01 L1625.19 147.01 L1625.19 143.074 Q1623.73 145.435 1621.55 146.57 Q1619.38 147.681 1616.23 147.681 Q1612.25 147.681 1609.89 145.459 Q1607.55 143.213 1607.55 139.463 Q1607.55 135.088 1610.46 132.866 Q1613.4 130.644 1619.21 130.644 L1625.19 130.644 L1625.19 130.227 Q1625.19 127.287 1623.24 125.69 Q1621.32 124.07 1617.83 124.07 Q1615.6 124.07 1613.5 124.602 Q1611.39 125.135 1609.45 126.199 L1609.45 122.264 Q1611.78 121.362 1613.98 120.922 Q1616.18 120.459 1618.27 120.459 Q1623.89 120.459 1626.67 123.375 Q1629.45 126.292 1629.45 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1644.15 111.038 Q1641.04 116.362 1639.54 121.57 Q1638.03 126.778 1638.03 132.125 Q1638.03 137.473 1639.54 142.727 Q1641.07 147.959 1644.15 153.26 L1640.44 153.26 Q1636.97 147.82 1635.23 142.565 Q1633.52 137.311 1633.52 132.125 Q1633.52 126.963 1635.23 121.732 Q1636.95 116.5 1640.44 111.038 L1644.15 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1650.02 143.074 L1657.66 143.074 L1657.66 116.709 L1649.35 118.375 L1649.35 114.116 L1657.62 112.45 L1662.29 112.45 L1662.29 143.074 L1669.93 143.074 L1669.93 147.01 L1650.02 147.01 L1650.02 143.074 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1685 115.528 Q1681.39 115.528 1679.56 119.093 Q1677.76 122.635 1677.76 129.764 Q1677.76 136.871 1679.56 140.436 Q1681.39 143.977 1685 143.977 Q1688.64 143.977 1690.44 140.436 Q1692.27 136.871 1692.27 129.764 Q1692.27 122.635 1690.44 119.093 Q1688.64 115.528 1685 115.528 M1685 111.825 Q1690.81 111.825 1693.87 116.431 Q1696.95 121.014 1696.95 129.764 Q1696.95 138.491 1693.87 143.098 Q1690.81 147.681 1685 147.681 Q1679.19 147.681 1676.11 143.098 Q1673.06 138.491 1673.06 129.764 Q1673.06 121.014 1676.11 116.431 Q1679.19 111.825 1685 111.825 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1702.5 141.13 L1707.39 141.13 L1707.39 145.111 L1703.59 152.519 L1700.6 152.519 L1702.5 145.111 L1702.5 141.13 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1713.27 143.074 L1720.9 143.074 L1720.9 116.709 L1712.59 118.375 L1712.59 114.116 L1720.86 112.45 L1725.53 112.45 L1725.53 143.074 L1733.17 143.074 L1733.17 147.01 L1713.27 147.01 L1713.27 143.074 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1748.24 115.528 Q1744.63 115.528 1742.8 119.093 Q1741 122.635 1741 129.764 Q1741 136.871 1742.8 140.436 Q1744.63 143.977 1748.24 143.977 Q1751.88 143.977 1753.68 140.436 Q1755.51 136.871 1755.51 129.764 Q1755.51 122.635 1753.68 119.093 Q1751.88 115.528 1748.24 115.528 M1748.24 111.825 Q1754.05 111.825 1757.11 116.431 Q1760.19 121.014 1760.19 129.764 Q1760.19 138.491 1757.11 143.098 Q1754.05 147.681 1748.24 147.681 Q1742.43 147.681 1739.35 143.098 Q1736.3 138.491 1736.3 129.764 Q1736.3 121.014 1739.35 116.431 Q1742.43 111.825 1748.24 111.825 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M 0 0 M1763.98 111.038 L1767.69 111.038 Q1771.16 116.5 1772.87 121.732 Q1774.61 126.963 1774.61 132.125 Q1774.61 137.311 1772.87 142.565 Q1771.16 147.82 1767.69 153.26 L1763.98 153.26 Q1767.06 147.959 1768.57 142.727 Q1770.09 137.473 1770.09 132.125 Q1770.09 126.778 1768.57 121.57 Q1767.06 116.362 1763.98 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 38
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "source": [
    "betaprime(x) = (x^(p - 1) * (x + 1)^(-p - q))/beta(p, q)\n",
    "m=p/(q-1)\n",
    "v=(p*(p + q - 1))/((q - 2)*(q - 1)^2)\n",
    "\n",
    "plot(0:0.01:4, ylim=1.0, betaprime, label=\"Beta Prime\")\n",
    "\n",
    "a = log(m^2/sqrt(v+m^2))\n",
    "s = sqrt(log((v+m^2)/m^2))\n",
    "lognormal(x) = (x*s*√(2*π))^-1 * exp(-(log(x) - a)^2/(2s^2))\n",
    "\n",
    "plot!(0:0.01:4, lognormal, label=\"LogNormal\")\n",
    "\n",
    "k=m^2/v; l=m/v\n",
    "gammad(x) = (l^k)*x^(k-1)*exp(-l*x)/gamma(k)\n",
    "\n",
    "plot!(0:0.01:4, ylim=1.0, gammad, label=\"Gamma\")\n",
    "\n",
    "\n",
    "vline!([m], label=\"Mean\")\n"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip110\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip110)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip111\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip110)\" d=\"\nM170.062 707.408 L1872.76 707.408 L1872.76 47.2441 L170.062 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip112\">\n    <rect x=\"170\" y=\"47\" width=\"1704\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  218.251,707.408 218.251,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  619.83,707.408 619.83,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1021.41,707.408 1021.41,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1422.99,707.408 1422.99,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1824.57,707.408 1824.57,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  218.251,707.408 218.251,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  619.83,707.408 619.83,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1021.41,707.408 1021.41,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1422.99,707.408 1422.99,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1824.57,707.408 1824.57,699.486 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M218.251 732.759 Q214.64 732.759 212.812 736.323 Q211.006 739.865 211.006 746.995 Q211.006 754.101 212.812 757.666 Q214.64 761.207 218.251 761.207 Q221.886 761.207 223.691 757.666 Q225.52 754.101 225.52 746.995 Q225.52 739.865 223.691 736.323 Q221.886 732.759 218.251 732.759 M218.251 729.055 Q224.062 729.055 227.117 733.661 Q230.196 738.245 230.196 746.995 Q230.196 755.721 227.117 760.328 Q224.062 764.911 218.251 764.911 Q212.441 764.911 209.363 760.328 Q206.307 755.721 206.307 746.995 Q206.307 738.245 209.363 733.661 Q212.441 729.055 218.251 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M610.212 760.305 L617.851 760.305 L617.851 733.939 L609.541 735.606 L609.541 731.347 L617.805 729.68 L622.481 729.68 L622.481 760.305 L630.12 760.305 L630.12 764.24 L610.212 764.24 L610.212 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1016.06 760.305 L1032.38 760.305 L1032.38 764.24 L1010.44 764.24 L1010.44 760.305 Q1013.1 757.55 1017.68 752.92 Q1022.29 748.268 1023.47 746.925 Q1025.71 744.402 1026.59 742.666 Q1027.5 740.907 1027.5 739.217 Q1027.5 736.462 1025.55 734.726 Q1023.63 732.99 1020.53 732.99 Q1018.33 732.99 1015.88 733.754 Q1013.45 734.518 1010.67 736.069 L1010.67 731.347 Q1013.49 730.212 1015.95 729.634 Q1018.4 729.055 1020.44 729.055 Q1025.81 729.055 1029 731.74 Q1032.2 734.425 1032.2 738.916 Q1032.2 741.046 1031.39 742.967 Q1030.6 744.865 1028.49 747.458 Q1027.91 748.129 1024.81 751.346 Q1021.71 754.541 1016.06 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1427.24 745.606 Q1430.59 746.323 1432.47 748.592 Q1434.36 750.86 1434.36 754.194 Q1434.36 759.309 1430.85 762.11 Q1427.33 764.911 1420.85 764.911 Q1418.67 764.911 1416.36 764.471 Q1414.06 764.055 1411.61 763.198 L1411.61 758.684 Q1413.55 759.819 1415.87 760.397 Q1418.18 760.976 1420.71 760.976 Q1425.11 760.976 1427.4 759.24 Q1429.71 757.504 1429.71 754.194 Q1429.71 751.138 1427.56 749.425 Q1425.43 747.689 1421.61 747.689 L1417.58 747.689 L1417.58 743.846 L1421.8 743.846 Q1425.24 743.846 1427.07 742.481 Q1428.9 741.092 1428.9 738.499 Q1428.9 735.837 1427 734.425 Q1425.13 732.99 1421.61 732.99 Q1419.69 732.99 1417.49 733.407 Q1415.29 733.823 1412.65 734.703 L1412.65 730.536 Q1415.31 729.796 1417.63 729.425 Q1419.97 729.055 1422.03 729.055 Q1427.35 729.055 1430.45 731.485 Q1433.55 733.893 1433.55 738.013 Q1433.55 740.884 1431.91 742.874 Q1430.27 744.842 1427.24 745.606 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1827.58 733.754 L1815.77 752.203 L1827.58 752.203 L1827.58 733.754 M1826.35 729.68 L1832.23 729.68 L1832.23 752.203 L1837.16 752.203 L1837.16 756.092 L1832.23 756.092 L1832.23 764.24 L1827.58 764.24 L1827.58 756.092 L1811.97 756.092 L1811.97 751.578 L1826.35 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  170.062,688.724 1872.76,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  170.062,528.834 1872.76,528.834 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  170.062,368.945 1872.76,368.945 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  170.062,209.055 1872.76,209.055 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  170.062,49.1654 1872.76,49.1654 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,707.408 170.062,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,688.724 190.494,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,528.834 190.494,528.834 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,368.945 190.494,368.945 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,209.055 190.494,209.055 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  170.062,49.1654 190.494,49.1654 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M65.3365 674.523 Q61.7254 674.523 59.8967 678.087 Q58.0912 681.629 58.0912 688.759 Q58.0912 695.865 59.8967 699.43 Q61.7254 702.972 65.3365 702.972 Q68.9707 702.972 70.7763 699.43 Q72.605 695.865 72.605 688.759 Q72.605 681.629 70.7763 678.087 Q68.9707 674.523 65.3365 674.523 M65.3365 670.819 Q71.1467 670.819 74.2022 675.425 Q77.2809 680.009 77.2809 688.759 Q77.2809 697.486 74.2022 702.092 Q71.1467 706.675 65.3365 706.675 Q59.5264 706.675 56.4477 702.092 Q53.3921 697.486 53.3921 688.759 Q53.3921 680.009 56.4477 675.425 Q59.5264 670.819 65.3365 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M82.3503 700.124 L87.2345 700.124 L87.2345 706.004 L82.3503 706.004 L82.3503 700.124 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M102.304 674.523 Q98.6928 674.523 96.8641 678.087 Q95.0586 681.629 95.0586 688.759 Q95.0586 695.865 96.8641 699.43 Q98.6928 702.972 102.304 702.972 Q105.938 702.972 107.744 699.43 Q109.572 695.865 109.572 688.759 Q109.572 681.629 107.744 678.087 Q105.938 674.523 102.304 674.523 M102.304 670.819 Q108.114 670.819 111.17 675.425 Q114.248 680.009 114.248 688.759 Q114.248 697.486 111.17 702.092 Q108.114 706.675 102.304 706.675 Q96.4937 706.675 93.4151 702.092 Q90.3595 697.486 90.3595 688.759 Q90.3595 680.009 93.4151 675.425 Q96.4937 670.819 102.304 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M129.318 674.523 Q125.707 674.523 123.878 678.087 Q122.072 681.629 122.072 688.759 Q122.072 695.865 123.878 699.43 Q125.707 702.972 129.318 702.972 Q132.952 702.972 134.757 699.43 Q136.586 695.865 136.586 688.759 Q136.586 681.629 134.757 678.087 Q132.952 674.523 129.318 674.523 M129.318 670.819 Q135.128 670.819 138.183 675.425 Q141.262 680.009 141.262 688.759 Q141.262 697.486 138.183 702.092 Q135.128 706.675 129.318 706.675 Q123.507 706.675 120.429 702.092 Q117.373 697.486 117.373 688.759 Q117.373 680.009 120.429 675.425 Q123.507 670.819 129.318 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M67.9291 514.633 Q64.318 514.633 62.4893 518.198 Q60.6838 521.739 60.6838 528.869 Q60.6838 535.976 62.4893 539.54 Q64.318 543.082 67.9291 543.082 Q71.5633 543.082 73.3689 539.54 Q75.1976 535.976 75.1976 528.869 Q75.1976 521.739 73.3689 518.198 Q71.5633 514.633 67.9291 514.633 M67.9291 510.929 Q73.7392 510.929 76.7948 515.536 Q79.8735 520.119 79.8735 528.869 Q79.8735 537.596 76.7948 542.202 Q73.7392 546.786 67.9291 546.786 Q62.1189 546.786 59.0402 542.202 Q55.9847 537.596 55.9847 528.869 Q55.9847 520.119 59.0402 515.536 Q62.1189 510.929 67.9291 510.929 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M84.9429 540.235 L89.8271 540.235 L89.8271 546.114 L84.9429 546.114 L84.9429 540.235 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M98.9243 542.179 L115.244 542.179 L115.244 546.114 L93.2993 546.114 L93.2993 542.179 Q95.9613 539.425 100.545 534.795 Q105.151 530.142 106.332 528.8 Q108.577 526.276 109.457 524.54 Q110.359 522.781 110.359 521.091 Q110.359 518.337 108.415 516.601 Q106.494 514.865 103.392 514.865 Q101.193 514.865 98.7391 515.628 Q96.3086 516.392 93.5308 517.943 L93.5308 513.221 Q96.3549 512.087 98.8085 511.508 Q101.262 510.929 103.299 510.929 Q108.67 510.929 111.864 513.615 Q115.058 516.3 115.058 520.79 Q115.058 522.92 114.248 524.841 Q113.461 526.739 111.355 529.332 Q110.776 530.003 107.674 533.221 Q104.572 536.415 98.9243 542.179 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M120.359 511.554 L138.716 511.554 L138.716 515.49 L124.642 515.49 L124.642 523.962 Q125.66 523.614 126.679 523.452 Q127.697 523.267 128.716 523.267 Q134.503 523.267 137.882 526.439 Q141.262 529.61 141.262 535.026 Q141.262 540.605 137.79 543.707 Q134.318 546.786 127.998 546.786 Q125.822 546.786 123.554 546.415 Q121.308 546.045 118.901 545.304 L118.901 540.605 Q120.984 541.739 123.207 542.295 Q125.429 542.85 127.906 542.85 Q131.91 542.85 134.248 540.744 Q136.586 538.638 136.586 535.026 Q136.586 531.415 134.248 529.309 Q131.91 527.202 127.906 527.202 Q126.031 527.202 124.156 527.619 Q122.304 528.036 120.359 528.915 L120.359 511.554 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M66.3319 354.743 Q62.7208 354.743 60.8921 358.308 Q59.0865 361.85 59.0865 368.979 Q59.0865 376.086 60.8921 379.651 Q62.7208 383.192 66.3319 383.192 Q69.9661 383.192 71.7717 379.651 Q73.6004 376.086 73.6004 368.979 Q73.6004 361.85 71.7717 358.308 Q69.9661 354.743 66.3319 354.743 M66.3319 351.04 Q72.142 351.04 75.1976 355.646 Q78.2763 360.229 78.2763 368.979 Q78.2763 377.706 75.1976 382.313 Q72.142 386.896 66.3319 386.896 Q60.5217 386.896 57.443 382.313 Q54.3875 377.706 54.3875 368.979 Q54.3875 360.229 57.443 355.646 Q60.5217 351.04 66.3319 351.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M83.3457 380.345 L88.2299 380.345 L88.2299 386.225 L83.3457 386.225 L83.3457 380.345 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M93.3456 351.665 L111.702 351.665 L111.702 355.6 L97.628 355.6 L97.628 364.072 Q98.6465 363.725 99.665 363.563 Q100.684 363.378 101.702 363.378 Q107.489 363.378 110.869 366.549 Q114.248 369.72 114.248 375.137 Q114.248 380.715 110.776 383.817 Q107.304 386.896 100.984 386.896 Q98.8085 386.896 96.54 386.526 Q94.2947 386.155 91.8873 385.415 L91.8873 380.715 Q93.9706 381.85 96.1928 382.405 Q98.415 382.961 100.892 382.961 Q104.896 382.961 107.234 380.854 Q109.572 378.748 109.572 375.137 Q109.572 371.526 107.234 369.419 Q104.896 367.313 100.892 367.313 Q99.0169 367.313 97.1419 367.729 Q95.29 368.146 93.3456 369.026 L93.3456 351.665 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M129.318 354.743 Q125.707 354.743 123.878 358.308 Q122.072 361.85 122.072 368.979 Q122.072 376.086 123.878 379.651 Q125.707 383.192 129.318 383.192 Q132.952 383.192 134.757 379.651 Q136.586 376.086 136.586 368.979 Q136.586 361.85 134.757 358.308 Q132.952 354.743 129.318 354.743 M129.318 351.04 Q135.128 351.04 138.183 355.646 Q141.262 360.229 141.262 368.979 Q141.262 377.706 138.183 382.313 Q135.128 386.896 129.318 386.896 Q123.507 386.896 120.429 382.313 Q117.373 377.706 117.373 368.979 Q117.373 360.229 120.429 355.646 Q123.507 351.04 129.318 351.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M67.2346 194.854 Q63.6236 194.854 61.7949 198.419 Q59.9893 201.96 59.9893 209.09 Q59.9893 216.196 61.7949 219.761 Q63.6236 223.303 67.2346 223.303 Q70.8689 223.303 72.6744 219.761 Q74.5031 216.196 74.5031 209.09 Q74.5031 201.96 72.6744 198.419 Q70.8689 194.854 67.2346 194.854 M67.2346 191.15 Q73.0448 191.15 76.1003 195.756 Q79.179 200.34 79.179 209.09 Q79.179 217.817 76.1003 222.423 Q73.0448 227.006 67.2346 227.006 Q61.4245 227.006 58.3458 222.423 Q55.2903 217.817 55.2903 209.09 Q55.2903 200.34 58.3458 195.756 Q61.4245 191.15 67.2346 191.15 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M84.2484 220.455 L89.1327 220.455 L89.1327 226.335 L84.2484 226.335 L84.2484 220.455 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M93.0215 191.775 L115.244 191.775 L115.244 193.766 L102.697 226.335 L97.8132 226.335 L109.619 195.71 L93.0215 195.71 L93.0215 191.775 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M120.359 191.775 L138.716 191.775 L138.716 195.71 L124.642 195.71 L124.642 204.182 Q125.66 203.835 126.679 203.673 Q127.697 203.488 128.716 203.488 Q134.503 203.488 137.882 206.659 Q141.262 209.83 141.262 215.247 Q141.262 220.826 137.79 223.928 Q134.318 227.006 127.998 227.006 Q125.822 227.006 123.554 226.636 Q121.308 226.266 118.901 225.525 L118.901 220.826 Q120.984 221.96 123.207 222.516 Q125.429 223.071 127.906 223.071 Q131.91 223.071 134.248 220.965 Q136.586 218.858 136.586 215.247 Q136.586 211.636 134.248 209.53 Q131.91 207.423 127.906 207.423 Q126.031 207.423 124.156 207.84 Q122.304 208.256 120.359 209.136 L120.359 191.775 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M57.3736 62.5102 L65.0124 62.5102 L65.0124 36.1446 L56.7023 37.8113 L56.7023 33.552 L64.9661 31.8854 L69.642 31.8854 L69.642 62.5102 L77.2809 62.5102 L77.2809 66.4454 L57.3736 66.4454 L57.3736 62.5102 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M82.3503 60.5658 L87.2345 60.5658 L87.2345 66.4454 L82.3503 66.4454 L82.3503 60.5658 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M102.304 34.9641 Q98.6928 34.9641 96.8641 38.5289 Q95.0586 42.0705 95.0586 49.2001 Q95.0586 56.3065 96.8641 59.8713 Q98.6928 63.413 102.304 63.413 Q105.938 63.413 107.744 59.8713 Q109.572 56.3065 109.572 49.2001 Q109.572 42.0705 107.744 38.5289 Q105.938 34.9641 102.304 34.9641 M102.304 31.2604 Q108.114 31.2604 111.17 35.8668 Q114.248 40.4501 114.248 49.2001 Q114.248 57.9269 111.17 62.5334 Q108.114 67.1167 102.304 67.1167 Q96.4937 67.1167 93.4151 62.5334 Q90.3595 57.9269 90.3595 49.2001 Q90.3595 40.4501 93.4151 35.8668 Q96.4937 31.2604 102.304 31.2604 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M129.318 34.9641 Q125.707 34.9641 123.878 38.5289 Q122.072 42.0705 122.072 49.2001 Q122.072 56.3065 123.878 59.8713 Q125.707 63.413 129.318 63.413 Q132.952 63.413 134.757 59.8713 Q136.586 56.3065 136.586 49.2001 Q136.586 42.0705 134.757 38.5289 Q132.952 34.9641 129.318 34.9641 M129.318 31.2604 Q135.128 31.2604 138.183 35.8668 Q141.262 40.4501 141.262 49.2001 Q141.262 57.9269 138.183 62.5334 Q135.128 67.1167 129.318 67.1167 Q123.507 67.1167 120.429 62.5334 Q117.373 57.9269 117.373 49.2001 Q117.373 40.4501 120.429 35.8668 Q123.507 31.2604 129.318 31.2604 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip112)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  218.251,688.724 222.267,688.724 226.283,688.724 230.299,688.724 234.315,688.724 238.33,688.724 242.346,688.722 246.362,688.718 250.378,688.707 254.394,688.683 \n  258.409,688.636 262.425,688.551 266.441,688.408 270.457,688.18 274.472,687.836 278.488,687.336 282.504,686.638 286.52,685.692 290.536,684.446 294.551,682.845 \n  298.567,680.834 302.583,678.356 306.599,675.356 310.615,671.785 314.63,667.593 318.646,662.74 322.662,657.189 326.678,650.91 330.694,643.883 334.709,636.094 \n  338.725,627.535 342.741,618.21 346.757,608.127 350.772,597.304 354.788,585.765 358.804,573.542 362.82,560.67 366.836,547.193 370.851,533.156 374.867,518.612 \n  378.883,503.615 382.899,488.221 386.915,472.489 390.93,456.48 394.946,440.254 398.962,423.873 402.978,407.396 406.993,390.884 411.009,374.394 415.025,357.983 \n  419.041,341.705 423.057,325.611 427.072,309.752 431.088,294.173 435.104,278.918 439.12,264.027 443.136,249.537 447.151,235.483 451.167,221.894 455.183,208.798 \n  459.199,196.219 463.215,184.179 467.23,172.695 471.246,161.783 475.262,151.455 479.278,141.72 483.293,132.586 487.309,124.057 491.325,116.134 495.341,108.819 \n  499.357,102.109 503.372,96.0009 507.388,90.4881 511.404,85.5639 515.42,81.2196 519.436,77.4452 523.451,74.2296 527.467,71.5607 531.483,69.4251 535.499,67.809 \n  539.514,66.6978 543.53,66.076 547.546,65.928 551.562,66.2375 555.578,66.988 559.593,68.1627 563.609,69.7447 567.625,71.717 571.641,74.0625 575.657,76.7642 \n  579.672,79.8051 583.688,83.1683 587.704,86.8372 591.72,90.7955 595.735,95.0268 599.751,99.5153 603.767,104.245 607.783,109.202 611.799,114.37 615.814,119.735 \n  619.83,125.282 623.846,130.999 627.862,136.871 631.878,142.887 635.893,149.032 639.909,155.297 643.925,161.667 647.941,168.134 651.957,174.685 655.972,181.311 \n  659.988,188.001 664.004,194.747 668.02,201.539 672.035,208.368 676.051,215.227 680.067,222.107 684.083,229.001 688.099,235.903 692.114,242.804 696.13,249.699 \n  700.146,256.582 704.162,263.447 708.178,270.289 712.193,277.103 716.209,283.884 720.225,290.627 724.241,297.329 728.256,303.986 732.272,310.593 736.288,317.149 \n  740.304,323.649 744.32,330.09 748.335,336.471 752.351,342.788 756.367,349.04 760.383,355.224 764.399,361.339 768.414,367.382 772.43,373.353 776.446,379.25 \n  780.462,385.072 784.478,390.817 788.493,396.486 792.509,402.077 796.525,407.589 800.541,413.022 804.556,418.376 808.572,423.651 812.588,428.845 816.604,433.96 \n  820.62,438.994 824.635,443.949 828.651,448.824 832.667,453.619 836.683,458.335 840.699,462.973 844.714,467.531 848.73,472.012 852.746,476.415 856.762,480.741 \n  860.777,484.991 864.793,489.165 868.809,493.264 872.825,497.289 876.841,501.24 880.856,505.118 884.872,508.924 888.888,512.659 892.904,516.324 896.92,519.92 \n  900.935,523.446 904.951,526.906 908.967,530.298 912.983,533.624 916.998,536.886 921.014,540.083 925.03,543.218 929.046,546.29 933.062,549.301 937.077,552.252 \n  941.093,555.144 945.109,557.978 949.125,560.754 953.141,563.473 957.156,566.138 961.172,568.747 965.188,571.303 969.204,573.807 973.22,576.258 977.235,578.659 \n  981.251,581.01 985.267,583.312 989.283,585.566 993.298,587.773 997.314,589.933 1001.33,592.048 1005.35,594.118 1009.36,596.144 1013.38,598.128 1017.39,600.069 \n  1021.41,601.969 1025.42,603.829 1029.44,605.649 1033.46,607.43 1037.47,609.172 1041.49,610.878 1045.5,612.547 1049.52,614.18 1053.54,615.777 1057.55,617.341 \n  1061.57,618.87 1065.58,620.367 1069.6,621.831 1073.61,623.264 1077.63,624.665 1081.65,626.036 1085.66,627.377 1089.68,628.689 1093.69,629.973 1097.71,631.229 \n  1101.72,632.457 1105.74,633.659 1109.76,634.834 1113.77,635.984 1117.79,637.108 1121.8,638.209 1125.82,639.285 1129.84,640.337 1133.85,641.367 1137.87,642.374 \n  1141.88,643.359 1145.9,644.323 1149.91,645.265 1153.93,646.187 1157.95,647.089 1161.96,647.971 1165.98,648.833 1169.99,649.677 1174.01,650.503 1178.02,651.31 \n  1182.04,652.099 1186.06,652.872 1190.07,653.627 1194.09,654.366 1198.1,655.089 1202.12,655.796 1206.14,656.488 1210.15,657.164 1214.17,657.826 1218.18,658.473 \n  1222.2,659.107 1226.21,659.726 1230.23,660.332 1234.25,660.924 1238.26,661.504 1242.28,662.071 1246.29,662.626 1250.31,663.169 1254.32,663.699 1258.34,664.219 \n  1262.36,664.727 1266.37,665.224 1270.39,665.71 1274.4,666.186 1278.42,666.651 1282.44,667.107 1286.45,667.552 1290.47,667.988 1294.48,668.414 1298.5,668.831 \n  1302.51,669.24 1306.53,669.639 1310.55,670.03 1314.56,670.412 1318.58,670.786 1322.59,671.152 1326.61,671.51 1330.62,671.861 1334.64,672.204 1338.66,672.539 \n  1342.67,672.868 1346.69,673.189 1350.7,673.504 1354.72,673.811 1358.74,674.113 1362.75,674.407 1366.77,674.696 1370.78,674.978 1374.8,675.255 1378.81,675.525 \n  1382.83,675.79 1386.85,676.049 1390.86,676.303 1394.88,676.551 1398.89,676.794 1402.91,677.032 1406.92,677.264 1410.94,677.492 1414.96,677.715 1418.97,677.934 \n  1422.99,678.148 1427,678.357 1431.02,678.562 1435.04,678.762 1439.05,678.959 1443.07,679.151 1447.08,679.339 1451.1,679.524 1455.11,679.704 1459.13,679.881 \n  1463.15,680.054 1467.16,680.223 1471.18,680.389 1475.19,680.552 1479.21,680.711 1483.22,680.867 1487.24,681.019 1491.26,681.169 1495.27,681.315 1499.29,681.458 \n  1503.3,681.599 1507.32,681.736 1511.34,681.871 1515.35,682.003 1519.37,682.132 1523.38,682.258 1527.4,682.382 1531.41,682.504 1535.43,682.622 1539.45,682.739 \n  1543.46,682.853 1547.48,682.965 1551.49,683.074 1555.51,683.182 1559.52,683.287 1563.54,683.39 1567.56,683.491 1571.57,683.59 1575.59,683.686 1579.6,683.781 \n  1583.62,683.874 1587.63,683.966 1591.65,684.055 1595.67,684.142 1599.68,684.228 1603.7,684.312 1607.71,684.395 1611.73,684.475 1615.75,684.554 1619.76,684.632 \n  1623.78,684.708 1627.79,684.782 1631.81,684.855 1635.82,684.927 1639.84,684.997 1643.86,685.066 1647.87,685.133 1651.89,685.199 1655.9,685.264 1659.92,685.327 \n  1663.93,685.39 1667.95,685.451 1671.97,685.51 1675.98,685.569 1680,685.627 1684.01,685.683 1688.03,685.738 1692.05,685.792 1696.06,685.846 1700.08,685.898 \n  1704.09,685.949 1708.11,685.999 1712.12,686.048 1716.14,686.096 1720.16,686.143 1724.17,686.19 1728.19,686.235 1732.2,686.28 1736.22,686.323 1740.23,686.366 \n  1744.25,686.408 1748.27,686.45 1752.28,686.49 1756.3,686.53 1760.31,686.569 1764.33,686.607 1768.35,686.644 1772.36,686.681 1776.38,686.717 1780.39,686.752 \n  1784.41,686.787 1788.42,686.821 1792.44,686.855 1796.46,686.887 1800.47,686.919 1804.49,686.951 1808.5,686.982 1812.52,687.012 1816.53,687.042 1820.55,687.071 \n  1824.57,687.1 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  222.267,688.724 226.283,688.724 230.299,688.724 234.315,688.724 238.33,688.724 242.346,688.724 246.362,688.723 250.378,688.722 254.394,688.716 258.409,688.702 \n  262.425,688.669 266.441,688.602 270.457,688.478 274.472,688.265 278.488,687.923 282.504,687.404 286.52,686.65 290.536,685.599 294.551,684.182 298.567,682.33 \n  302.583,679.972 306.599,677.041 310.615,673.473 314.63,669.211 318.646,664.203 322.662,658.409 326.678,651.798 330.694,644.347 334.709,636.048 338.725,626.899 \n  342.741,616.91 346.757,606.102 350.772,594.502 354.788,582.148 358.804,569.083 362.82,555.359 366.836,541.03 370.851,526.158 374.867,510.805 378.883,495.038 \n  382.899,478.924 386.915,462.532 390.93,445.929 394.946,429.184 398.962,412.363 402.978,395.53 406.993,378.749 411.009,362.078 415.025,345.574 419.041,329.292 \n  423.057,313.282 427.072,297.589 431.088,282.258 435.104,267.327 439.12,252.833 443.136,238.807 447.151,225.278 451.167,212.271 455.183,199.807 459.199,187.905 \n  463.215,176.58 467.23,165.844 471.246,155.705 475.262,146.172 479.278,137.247 483.293,128.932 487.309,121.226 491.325,114.128 495.341,107.633 499.357,101.734 \n  503.372,96.4229 507.388,91.6917 511.404,87.5295 515.42,83.9248 519.436,80.865 523.451,78.3366 527.467,76.3255 531.483,74.8168 535.499,73.7953 539.514,73.245 \n  543.53,73.1498 547.546,73.4933 551.562,74.2588 555.578,75.4297 559.593,76.9891 563.609,78.9204 567.625,81.2066 571.641,83.8314 575.657,86.7782 579.672,90.0308 \n  583.688,93.5732 587.704,97.3896 591.72,101.465 595.735,105.783 599.751,110.33 603.767,115.092 607.783,120.054 611.799,125.202 615.814,130.523 619.83,136.005 \n  623.846,141.635 627.862,147.401 631.878,153.291 635.893,159.294 639.909,165.399 643.925,171.597 647.941,177.876 651.957,184.227 655.972,190.641 659.988,197.11 \n  664.004,203.625 668.02,210.177 672.035,216.76 676.051,223.366 680.067,229.987 684.083,236.618 688.099,243.253 692.114,249.884 696.13,256.508 700.146,263.117 \n  704.162,269.708 708.178,276.275 712.193,282.815 716.209,289.323 720.225,295.795 724.241,302.227 728.256,308.616 732.272,314.959 736.288,321.253 740.304,327.495 \n  744.32,333.683 748.335,339.814 752.351,345.886 756.367,351.897 760.383,357.845 764.399,363.729 768.414,369.547 772.43,375.298 776.446,380.98 780.462,386.593 \n  784.478,392.135 788.493,397.606 792.509,403.005 796.525,408.332 800.541,413.585 804.556,418.765 808.572,423.871 812.588,428.903 816.604,433.861 820.62,438.745 \n  824.635,443.555 828.651,448.291 832.667,452.952 836.683,457.541 840.699,462.055 844.714,466.497 848.73,470.866 852.746,475.162 856.762,479.387 860.777,483.541 \n  864.793,487.623 868.809,491.636 872.825,495.579 876.841,499.453 880.856,503.259 884.872,506.997 888.888,510.668 892.904,514.273 896.92,517.813 900.935,521.288 \n  904.951,524.699 908.967,528.047 912.983,531.333 916.998,534.557 921.014,537.721 925.03,540.825 929.046,543.87 933.062,546.857 937.077,549.786 941.093,552.66 \n  945.109,555.477 949.125,558.24 953.141,560.949 957.156,563.605 961.172,566.208 965.188,568.76 969.204,571.262 973.22,573.714 977.235,576.117 981.251,578.472 \n  985.267,580.78 989.283,583.042 993.298,585.257 997.314,587.428 1001.33,589.555 1005.35,591.639 1009.36,593.68 1013.38,595.68 1017.39,597.638 1021.41,599.557 \n  1025.42,601.436 1029.44,603.276 1033.46,605.078 1037.47,606.843 1041.49,608.571 1045.5,610.264 1049.52,611.921 1053.54,613.544 1057.55,615.133 1061.57,616.688 \n  1065.58,618.211 1069.6,619.703 1073.61,621.162 1077.63,622.592 1081.65,623.991 1085.66,625.36 1089.68,626.701 1093.69,628.014 1097.71,629.298 1101.72,630.556 \n  1105.74,631.787 1109.76,632.992 1113.77,634.171 1117.79,635.325 1121.8,636.455 1125.82,637.561 1129.84,638.643 1133.85,639.702 1137.87,640.739 1141.88,641.753 \n  1145.9,642.746 1149.91,643.718 1153.93,644.669 1157.95,645.599 1161.96,646.51 1165.98,647.401 1169.99,648.273 1174.01,649.127 1178.02,649.962 1182.04,650.779 \n  1186.06,651.579 1190.07,652.362 1194.09,653.128 1198.1,653.877 1202.12,654.611 1206.14,655.329 1210.15,656.031 1214.17,656.718 1218.18,657.391 1222.2,658.049 \n  1226.21,658.693 1230.23,659.323 1234.25,659.94 1238.26,660.543 1242.28,661.133 1246.29,661.711 1250.31,662.277 1254.32,662.83 1258.34,663.371 1262.36,663.901 \n  1266.37,664.42 1270.39,664.927 1274.4,665.424 1278.42,665.909 1282.44,666.385 1286.45,666.85 1290.47,667.305 1294.48,667.751 1298.5,668.187 1302.51,668.614 \n  1306.53,669.031 1310.55,669.44 1314.56,669.84 1318.58,670.231 1322.59,670.614 1326.61,670.989 1330.62,671.355 1334.64,671.714 1338.66,672.066 1342.67,672.41 \n  1346.69,672.746 1350.7,673.075 1354.72,673.398 1358.74,673.713 1362.75,674.022 1366.77,674.324 1370.78,674.62 1374.8,674.909 1378.81,675.192 1382.83,675.47 \n  1386.85,675.741 1390.86,676.007 1394.88,676.267 1398.89,676.521 1402.91,676.77 1406.92,677.014 1410.94,677.253 1414.96,677.487 1418.97,677.715 1422.99,677.939 \n  1427,678.158 1431.02,678.373 1435.04,678.583 1439.05,678.788 1443.07,678.99 1447.08,679.187 1451.1,679.379 1455.11,679.568 1459.13,679.753 1463.15,679.934 \n  1467.16,680.111 1471.18,680.285 1475.19,680.455 1479.21,680.621 1483.22,680.784 1487.24,680.943 1491.26,681.099 1495.27,681.252 1499.29,681.401 1503.3,681.548 \n  1507.32,681.691 1511.34,681.832 1515.35,681.969 1519.37,682.104 1523.38,682.236 1527.4,682.365 1531.41,682.492 1535.43,682.615 1539.45,682.737 1543.46,682.855 \n  1547.48,682.972 1551.49,683.086 1555.51,683.197 1559.52,683.306 1563.54,683.413 1567.56,683.518 1571.57,683.621 1575.59,683.721 1579.6,683.82 1583.62,683.916 \n  1587.63,684.011 1591.65,684.103 1595.67,684.194 1599.68,684.282 1603.7,684.369 1607.71,684.455 1611.73,684.538 1615.75,684.62 1619.76,684.7 1623.78,684.778 \n  1627.79,684.855 1631.81,684.93 1635.82,685.004 1639.84,685.076 1643.86,685.147 1647.87,685.216 1651.89,685.284 1655.9,685.351 1659.92,685.416 1663.93,685.48 \n  1667.95,685.542 1671.97,685.604 1675.98,685.664 1680,685.723 1684.01,685.78 1688.03,685.837 1692.05,685.892 1696.06,685.947 1700.08,686 1704.09,686.052 \n  1708.11,686.103 1712.12,686.153 1716.14,686.202 1720.16,686.25 1724.17,686.297 1728.19,686.344 1732.2,686.389 1736.22,686.433 1740.23,686.477 1744.25,686.519 \n  1748.27,686.561 1752.28,686.602 1756.3,686.642 1760.31,686.681 1764.33,686.72 1768.35,686.758 1772.36,686.795 1776.38,686.831 1780.39,686.867 1784.41,686.902 \n  1788.42,686.936 1792.44,686.969 1796.46,687.002 1800.47,687.034 1804.49,687.066 1808.5,687.097 1812.52,687.127 1816.53,687.157 1820.55,687.186 1824.57,687.215 \n  \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  218.251,688.724 222.267,688.716 226.283,688.652 230.299,688.468 234.315,688.104 238.33,687.502 242.346,686.611 246.362,685.388 250.378,683.792 254.394,681.793 \n  258.409,679.365 262.425,676.487 266.441,673.146 270.457,669.33 274.472,665.035 278.488,660.261 282.504,655.01 286.52,649.289 290.536,643.107 294.551,636.478 \n  298.567,629.416 302.583,621.938 306.599,614.064 310.615,605.813 314.63,597.208 318.646,588.272 322.662,579.029 326.678,569.503 330.694,559.721 334.709,549.706 \n  338.725,539.484 342.741,529.082 346.757,518.525 350.772,507.838 354.788,497.047 358.804,486.174 362.82,475.246 366.836,464.285 370.851,453.314 374.867,442.356 \n  378.883,431.431 382.899,420.56 386.915,409.764 390.93,399.061 394.946,388.469 398.962,378.005 402.978,367.687 406.993,357.528 411.009,347.545 415.025,337.75 \n  419.041,328.157 423.057,318.777 427.072,309.621 431.088,300.7 435.104,292.023 439.12,283.597 443.136,275.432 447.151,267.534 451.167,259.909 455.183,252.562 \n  459.199,245.499 463.215,238.722 467.23,232.236 471.246,226.044 475.262,220.146 479.278,214.545 483.293,209.242 487.309,204.237 491.325,199.53 495.341,195.119 \n  499.357,191.005 503.372,187.185 507.388,183.658 511.404,180.42 515.42,177.471 519.436,174.805 523.451,172.42 527.467,170.313 531.483,168.479 535.499,166.913 \n  539.514,165.613 543.53,164.572 547.546,163.785 551.562,163.249 555.578,162.957 559.593,162.905 563.609,163.086 567.625,163.495 571.641,164.126 575.657,164.974 \n  579.672,166.032 583.688,167.295 587.704,168.756 591.72,170.41 595.735,172.251 599.751,174.272 603.767,176.467 607.783,178.83 611.799,181.356 615.814,184.038 \n  619.83,186.871 623.846,189.847 627.862,192.962 631.878,196.21 635.893,199.584 639.909,203.08 643.925,206.691 647.941,210.411 651.957,214.236 655.972,218.16 \n  659.988,222.178 664.004,226.284 668.02,230.474 672.035,234.741 676.051,239.082 680.067,243.492 684.083,247.965 688.099,252.497 692.114,257.084 696.13,261.722 \n  700.146,266.405 704.162,271.13 708.178,275.892 712.193,280.689 716.209,285.515 720.225,290.367 724.241,295.242 728.256,300.136 732.272,305.045 736.288,309.967 \n  740.304,314.897 744.32,319.833 748.335,324.773 752.351,329.712 756.367,334.648 760.383,339.579 764.399,344.503 768.414,349.415 772.43,354.315 776.446,359.199 \n  780.462,364.066 784.478,368.914 788.493,373.74 792.509,378.543 796.525,383.32 800.541,388.07 804.556,392.792 808.572,397.483 812.588,402.143 816.604,406.769 \n  820.62,411.361 824.635,415.917 828.651,420.436 832.667,424.916 836.683,429.358 840.699,433.759 844.714,438.119 848.73,442.437 852.746,446.712 856.762,450.943 \n  860.777,455.13 864.793,459.273 868.809,463.369 872.825,467.42 876.841,471.424 880.856,475.381 884.872,479.29 888.888,483.152 892.904,486.966 896.92,490.732 \n  900.935,494.449 904.951,498.118 908.967,501.738 912.983,505.309 916.998,508.831 921.014,512.305 925.03,515.729 929.046,519.104 933.062,522.431 937.077,525.709 \n  941.093,528.938 945.109,532.119 949.125,535.252 953.141,538.336 957.156,541.373 961.172,544.362 965.188,547.303 969.204,550.198 973.22,553.046 977.235,555.847 \n  981.251,558.602 985.267,561.312 989.283,563.976 993.298,566.594 997.314,569.169 1001.33,571.699 1005.35,574.185 1009.36,576.627 1013.38,579.027 1017.39,581.384 \n  1021.41,583.699 1025.42,585.972 1029.44,588.204 1033.46,590.395 1037.47,592.546 1041.49,594.657 1045.5,596.729 1049.52,598.762 1053.54,600.757 1057.55,602.714 \n  1061.57,604.633 1065.58,606.516 1069.6,608.362 1073.61,610.173 1077.63,611.948 1081.65,613.688 1085.66,615.394 1089.68,617.066 1093.69,618.705 1097.71,620.31 \n  1101.72,621.884 1105.74,623.426 1109.76,624.936 1113.77,626.415 1117.79,627.864 1121.8,629.283 1125.82,630.673 1129.84,632.034 1133.85,633.366 1137.87,634.67 \n  1141.88,635.947 1145.9,637.197 1149.91,638.42 1153.93,639.618 1157.95,640.789 1161.96,641.935 1165.98,643.057 1169.99,644.154 1174.01,645.227 1178.02,646.277 \n  1182.04,647.304 1186.06,648.308 1190.07,649.291 1194.09,650.251 1198.1,651.19 1202.12,652.108 1206.14,653.006 1210.15,653.883 1214.17,654.741 1218.18,655.579 \n  1222.2,656.398 1226.21,657.199 1230.23,657.981 1234.25,658.745 1238.26,659.492 1242.28,660.222 1246.29,660.935 1250.31,661.631 1254.32,662.311 1258.34,662.976 \n  1262.36,663.625 1266.37,664.258 1270.39,664.877 1274.4,665.481 1278.42,666.071 1282.44,666.647 1286.45,667.21 1290.47,667.759 1294.48,668.294 1298.5,668.818 \n  1302.51,669.328 1306.53,669.826 1310.55,670.313 1314.56,670.787 1318.58,671.25 1322.59,671.702 1326.61,672.143 1330.62,672.573 1334.64,672.993 1338.66,673.402 \n  1342.67,673.801 1346.69,674.191 1350.7,674.571 1354.72,674.941 1358.74,675.303 1362.75,675.655 1366.77,675.999 1370.78,676.334 1374.8,676.661 1378.81,676.979 \n  1382.83,677.29 1386.85,677.593 1390.86,677.888 1394.88,678.176 1398.89,678.456 1402.91,678.73 1406.92,678.996 1410.94,679.256 1414.96,679.509 1418.97,679.756 \n  1422.99,679.996 1427,680.231 1431.02,680.459 1435.04,680.681 1439.05,680.898 1443.07,681.109 1447.08,681.315 1451.1,681.515 1455.11,681.711 1459.13,681.901 \n  1463.15,682.086 1467.16,682.266 1471.18,682.442 1475.19,682.613 1479.21,682.78 1483.22,682.942 1487.24,683.1 1491.26,683.254 1495.27,683.404 1499.29,683.55 \n  1503.3,683.692 1507.32,683.83 1511.34,683.965 1515.35,684.096 1519.37,684.224 1523.38,684.348 1527.4,684.469 1531.41,684.587 1535.43,684.701 1539.45,684.813 \n  1543.46,684.922 1547.48,685.027 1551.49,685.13 1555.51,685.23 1559.52,685.328 1563.54,685.422 1567.56,685.514 1571.57,685.604 1575.59,685.692 1579.6,685.776 \n  1583.62,685.859 1587.63,685.939 1591.65,686.018 1595.67,686.094 1599.68,686.168 1603.7,686.24 1607.71,686.31 1611.73,686.378 1615.75,686.444 1619.76,686.509 \n  1623.78,686.571 1627.79,686.632 1631.81,686.692 1635.82,686.749 1639.84,686.805 1643.86,686.86 1647.87,686.913 1651.89,686.965 1655.9,687.015 1659.92,687.064 \n  1663.93,687.111 1667.95,687.157 1671.97,687.202 1675.98,687.245 1680,687.288 1684.01,687.329 1688.03,687.369 1692.05,687.408 1696.06,687.446 1700.08,687.482 \n  1704.09,687.518 1708.11,687.553 1712.12,687.587 1716.14,687.619 1720.16,687.651 1724.17,687.682 1728.19,687.712 1732.2,687.742 1736.22,687.77 1740.23,687.798 \n  1744.25,687.825 1748.27,687.851 1752.28,687.876 1756.3,687.901 1760.31,687.925 1764.33,687.948 1768.35,687.971 1772.36,687.993 1776.38,688.014 1780.39,688.035 \n  1784.41,688.055 1788.42,688.074 1792.44,688.093 1796.46,688.112 1800.47,688.13 1804.49,688.147 1808.5,688.164 1812.52,688.181 1816.53,688.197 1820.55,688.212 \n  1824.57,688.227 \n  \"/>\n<polyline clip-path=\"url(#clip112)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  664.45,1367.57 664.45,-612.92 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"\nM1395.24 371.65 L1816 371.65 L1816 69.2496 L1395.24 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1395.24,371.65 1816,371.65 1816,69.2496 1395.24,69.2496 1395.24,371.65 \n  \"/>\n<polyline clip-path=\"url(#clip110)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1414.16,129.73 1527.67,129.73 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M1551.26 130.505 L1551.26 143.167 L1558.76 143.167 Q1562.54 143.167 1564.34 141.616 Q1566.17 140.042 1566.17 136.824 Q1566.17 133.584 1564.34 132.056 Q1562.54 130.505 1558.76 130.505 L1551.26 130.505 M1551.26 116.292 L1551.26 126.709 L1558.19 126.709 Q1561.61 126.709 1563.28 125.436 Q1564.97 124.139 1564.97 121.5 Q1564.97 118.885 1563.28 117.588 Q1561.61 116.292 1558.19 116.292 L1551.26 116.292 M1546.59 112.45 L1558.53 112.45 Q1563.88 112.45 1566.77 114.672 Q1569.67 116.894 1569.67 120.991 Q1569.67 124.162 1568.19 126.037 Q1566.7 127.912 1563.83 128.375 Q1567.28 129.116 1569.18 131.477 Q1571.1 133.815 1571.1 137.334 Q1571.1 141.963 1567.95 144.486 Q1564.81 147.01 1559 147.01 L1546.59 147.01 L1546.59 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1597.75 132.982 L1597.75 135.065 L1578.16 135.065 Q1578.44 139.463 1580.8 141.778 Q1583.19 144.07 1587.42 144.07 Q1589.88 144.07 1592.17 143.468 Q1594.48 142.866 1596.75 141.662 L1596.75 145.69 Q1594.46 146.662 1592.05 147.172 Q1589.64 147.681 1587.17 147.681 Q1580.96 147.681 1577.33 144.07 Q1573.72 140.459 1573.72 134.301 Q1573.72 127.936 1577.14 124.209 Q1580.59 120.459 1586.43 120.459 Q1591.66 120.459 1594.69 123.838 Q1597.75 127.195 1597.75 132.982 M1593.49 131.732 Q1593.44 128.237 1591.52 126.153 Q1589.62 124.07 1586.47 124.07 Q1582.91 124.07 1580.76 126.084 Q1578.63 128.098 1578.3 131.755 L1593.49 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1606.43 113.723 L1606.43 121.084 L1615.2 121.084 L1615.2 124.394 L1606.43 124.394 L1606.43 138.468 Q1606.43 141.639 1607.28 142.542 Q1608.16 143.445 1610.82 143.445 L1615.2 143.445 L1615.2 147.01 L1610.82 147.01 Q1605.89 147.01 1604.02 145.181 Q1602.14 143.329 1602.14 138.468 L1602.14 124.394 L1599.02 124.394 L1599.02 121.084 L1602.14 121.084 L1602.14 113.723 L1606.43 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1631.45 133.977 Q1626.29 133.977 1624.3 135.158 Q1622.31 136.338 1622.31 139.186 Q1622.31 141.454 1623.79 142.797 Q1625.29 144.116 1627.86 144.116 Q1631.4 144.116 1633.53 141.616 Q1635.69 139.093 1635.69 134.926 L1635.69 133.977 L1631.45 133.977 M1639.94 132.218 L1639.94 147.01 L1635.69 147.01 L1635.69 143.074 Q1634.23 145.435 1632.05 146.57 Q1629.88 147.681 1626.73 147.681 Q1622.75 147.681 1620.38 145.459 Q1618.05 143.213 1618.05 139.463 Q1618.05 135.088 1620.96 132.866 Q1623.9 130.644 1629.71 130.644 L1635.69 130.644 L1635.69 130.227 Q1635.69 127.287 1633.74 125.69 Q1631.82 124.07 1628.32 124.07 Q1626.1 124.07 1624 124.602 Q1621.89 125.135 1619.95 126.199 L1619.95 122.264 Q1622.28 121.362 1624.48 120.922 Q1626.68 120.459 1628.76 120.459 Q1634.39 120.459 1637.17 123.375 Q1639.94 126.292 1639.94 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1664.34 116.292 L1664.34 129.278 L1670.22 129.278 Q1673.49 129.278 1675.27 127.588 Q1677.05 125.899 1677.05 122.774 Q1677.05 119.672 1675.27 117.982 Q1673.49 116.292 1670.22 116.292 L1664.34 116.292 M1659.67 112.45 L1670.22 112.45 Q1676.03 112.45 1679 115.088 Q1681.98 117.704 1681.98 122.774 Q1681.98 127.889 1679 130.505 Q1676.03 133.121 1670.22 133.121 L1664.34 133.121 L1664.34 147.01 L1659.67 147.01 L1659.67 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1700.64 125.065 Q1699.92 124.649 1699.07 124.463 Q1698.23 124.255 1697.21 124.255 Q1693.6 124.255 1691.66 126.616 Q1689.74 128.954 1689.74 133.352 L1689.74 147.01 L1685.45 147.01 L1685.45 121.084 L1689.74 121.084 L1689.74 125.112 Q1691.08 122.75 1693.23 121.616 Q1695.38 120.459 1698.46 120.459 Q1698.9 120.459 1699.44 120.528 Q1699.97 120.575 1700.62 120.69 L1700.64 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1705.11 121.084 L1709.37 121.084 L1709.37 147.01 L1705.11 147.01 L1705.11 121.084 M1705.11 110.991 L1709.37 110.991 L1709.37 116.385 L1705.11 116.385 L1705.11 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1734.02 126.061 Q1735.62 123.19 1737.84 121.825 Q1740.06 120.459 1743.07 120.459 Q1747.12 120.459 1749.32 123.306 Q1751.52 126.13 1751.52 131.361 L1751.52 147.01 L1747.24 147.01 L1747.24 131.5 Q1747.24 127.774 1745.92 125.968 Q1744.6 124.162 1741.89 124.162 Q1738.58 124.162 1736.66 126.362 Q1734.74 128.561 1734.74 132.357 L1734.74 147.01 L1730.45 147.01 L1730.45 131.5 Q1730.45 127.75 1729.13 125.968 Q1727.81 124.162 1725.06 124.162 Q1721.8 124.162 1719.88 126.385 Q1717.95 128.584 1717.95 132.357 L1717.95 147.01 L1713.67 147.01 L1713.67 121.084 L1717.95 121.084 L1717.95 125.112 Q1719.41 122.727 1721.45 121.593 Q1723.49 120.459 1726.29 120.459 Q1729.11 120.459 1731.08 121.894 Q1733.07 123.329 1734.02 126.061 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1778.16 132.982 L1778.16 135.065 L1758.58 135.065 Q1758.86 139.463 1761.22 141.778 Q1763.6 144.07 1767.84 144.07 Q1770.29 144.07 1772.58 143.468 Q1774.9 142.866 1777.17 141.662 L1777.17 145.69 Q1774.87 146.662 1772.47 147.172 Q1770.06 147.681 1767.58 147.681 Q1761.38 147.681 1757.75 144.07 Q1754.13 140.459 1754.13 134.301 Q1754.13 127.936 1757.56 124.209 Q1761.01 120.459 1766.84 120.459 Q1772.07 120.459 1775.11 123.838 Q1778.16 127.195 1778.16 132.982 M1773.9 131.732 Q1773.86 128.237 1771.93 126.153 Q1770.04 124.07 1766.89 124.07 Q1763.32 124.07 1761.17 126.084 Q1759.04 128.098 1758.72 131.755 L1773.9 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip110)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1414.16,190.21 1527.67,190.21 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M1546.59 172.93 L1551.26 172.93 L1551.26 203.554 L1568.09 203.554 L1568.09 207.49 L1546.59 207.49 L1546.59 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1581.77 184.55 Q1578.35 184.55 1576.36 187.235 Q1574.37 189.897 1574.37 194.55 Q1574.37 199.203 1576.33 201.888 Q1578.32 204.55 1581.77 204.55 Q1585.18 204.55 1587.17 201.865 Q1589.16 199.179 1589.16 194.55 Q1589.16 189.943 1587.17 187.258 Q1585.18 184.55 1581.77 184.55 M1581.77 180.939 Q1587.33 180.939 1590.5 184.55 Q1593.67 188.161 1593.67 194.55 Q1593.67 200.916 1590.5 204.55 Q1587.33 208.161 1581.77 208.161 Q1576.2 208.161 1573.02 204.55 Q1569.88 200.916 1569.88 194.55 Q1569.88 188.161 1573.02 184.55 Q1576.2 180.939 1581.77 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1615.2 194.226 Q1615.2 189.596 1613.28 187.05 Q1611.38 184.504 1607.93 184.504 Q1604.51 184.504 1602.58 187.05 Q1600.69 189.596 1600.69 194.226 Q1600.69 198.832 1602.58 201.378 Q1604.51 203.925 1607.93 203.925 Q1611.38 203.925 1613.28 201.378 Q1615.2 198.832 1615.2 194.226 M1619.46 204.272 Q1619.46 210.892 1616.52 214.11 Q1613.58 217.351 1607.51 217.351 Q1605.27 217.351 1603.28 217.003 Q1601.29 216.679 1599.41 215.985 L1599.41 211.841 Q1601.29 212.86 1603.12 213.346 Q1604.95 213.832 1606.84 213.832 Q1611.03 213.832 1613.12 211.633 Q1615.2 209.457 1615.2 205.036 L1615.2 202.929 Q1613.88 205.221 1611.82 206.355 Q1609.76 207.49 1606.89 207.49 Q1602.12 207.49 1599.2 203.855 Q1596.29 200.221 1596.29 194.226 Q1596.29 188.207 1599.2 184.573 Q1602.12 180.939 1606.89 180.939 Q1609.76 180.939 1611.82 182.073 Q1613.88 183.207 1615.2 185.499 L1615.2 181.564 L1619.46 181.564 L1619.46 204.272 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1624.11 172.93 L1630.41 172.93 L1645.73 201.841 L1645.73 172.93 L1650.27 172.93 L1650.27 207.49 L1643.97 207.49 L1628.65 178.578 L1628.65 207.49 L1624.11 207.49 L1624.11 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1664.78 184.55 Q1661.36 184.55 1659.37 187.235 Q1657.38 189.897 1657.38 194.55 Q1657.38 199.203 1659.34 201.888 Q1661.33 204.55 1664.78 204.55 Q1668.19 204.55 1670.18 201.865 Q1672.17 199.179 1672.17 194.55 Q1672.17 189.943 1670.18 187.258 Q1668.19 184.55 1664.78 184.55 M1664.78 180.939 Q1670.34 180.939 1673.51 184.55 Q1676.68 188.161 1676.68 194.55 Q1676.68 200.916 1673.51 204.55 Q1670.34 208.161 1664.78 208.161 Q1659.2 208.161 1656.03 204.55 Q1652.88 200.916 1652.88 194.55 Q1652.88 188.161 1656.03 184.55 Q1659.2 180.939 1664.78 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1696.17 185.545 Q1695.45 185.129 1694.6 184.943 Q1693.76 184.735 1692.75 184.735 Q1689.13 184.735 1687.19 187.096 Q1685.27 189.434 1685.27 193.832 L1685.27 207.49 L1680.99 207.49 L1680.99 181.564 L1685.27 181.564 L1685.27 185.592 Q1686.61 183.23 1688.76 182.096 Q1690.92 180.939 1694 180.939 Q1694.44 180.939 1694.97 181.008 Q1695.5 181.055 1696.15 181.17 L1696.17 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1719.99 186.541 Q1721.59 183.67 1723.81 182.305 Q1726.03 180.939 1729.04 180.939 Q1733.09 180.939 1735.29 183.786 Q1737.49 186.61 1737.49 191.841 L1737.49 207.49 L1733.21 207.49 L1733.21 191.98 Q1733.21 188.254 1731.89 186.448 Q1730.57 184.642 1727.86 184.642 Q1724.55 184.642 1722.63 186.842 Q1720.71 189.041 1720.71 192.837 L1720.71 207.49 L1716.43 207.49 L1716.43 191.98 Q1716.43 188.23 1715.11 186.448 Q1713.79 184.642 1711.03 184.642 Q1707.77 184.642 1705.85 186.865 Q1703.93 189.064 1703.93 192.837 L1703.93 207.49 L1699.64 207.49 L1699.64 181.564 L1703.93 181.564 L1703.93 185.592 Q1705.38 183.207 1707.42 182.073 Q1709.46 180.939 1712.26 180.939 Q1715.08 180.939 1717.05 182.374 Q1719.04 183.809 1719.99 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1753.74 194.457 Q1748.58 194.457 1746.59 195.638 Q1744.6 196.818 1744.6 199.666 Q1744.6 201.934 1746.08 203.277 Q1747.58 204.596 1750.15 204.596 Q1753.69 204.596 1755.82 202.096 Q1757.98 199.573 1757.98 195.406 L1757.98 194.457 L1753.74 194.457 M1762.24 192.698 L1762.24 207.49 L1757.98 207.49 L1757.98 203.554 Q1756.52 205.915 1754.34 207.05 Q1752.17 208.161 1749.02 208.161 Q1745.04 208.161 1742.68 205.939 Q1740.34 203.693 1740.34 199.943 Q1740.34 195.568 1743.25 193.346 Q1746.19 191.124 1752 191.124 L1757.98 191.124 L1757.98 190.707 Q1757.98 187.767 1756.03 186.17 Q1754.11 184.55 1750.62 184.55 Q1748.39 184.55 1746.29 185.082 Q1744.18 185.615 1742.24 186.679 L1742.24 182.744 Q1744.57 181.842 1746.77 181.402 Q1748.97 180.939 1751.06 180.939 Q1756.68 180.939 1759.46 183.855 Q1762.24 186.772 1762.24 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1766.7 171.471 L1770.96 171.471 L1770.96 207.49 L1766.7 207.49 L1766.7 171.471 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip110)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1414.16,250.69 1527.67,250.69 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M1572.14 263.039 L1572.14 253.757 L1564.51 253.757 L1564.51 249.914 L1576.77 249.914 L1576.77 264.752 Q1574.07 266.673 1570.8 267.669 Q1567.54 268.641 1563.83 268.641 Q1555.73 268.641 1551.15 263.919 Q1546.59 259.173 1546.59 250.724 Q1546.59 242.252 1551.15 237.53 Q1555.73 232.785 1563.83 232.785 Q1567.21 232.785 1570.25 233.618 Q1573.3 234.451 1575.87 236.072 L1575.87 241.048 Q1573.28 238.849 1570.36 237.738 Q1567.45 236.627 1564.23 236.627 Q1557.89 236.627 1554.69 240.169 Q1551.52 243.71 1551.52 250.724 Q1551.52 257.715 1554.69 261.257 Q1557.89 264.798 1564.23 264.798 Q1566.7 264.798 1568.65 264.382 Q1570.59 263.942 1572.14 263.039 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1593.02 254.937 Q1587.86 254.937 1585.87 256.118 Q1583.88 257.298 1583.88 260.146 Q1583.88 262.414 1585.36 263.757 Q1586.87 265.076 1589.44 265.076 Q1592.98 265.076 1595.11 262.576 Q1597.26 260.053 1597.26 255.886 L1597.26 254.937 L1593.02 254.937 M1601.52 253.178 L1601.52 267.97 L1597.26 267.97 L1597.26 264.034 Q1595.8 266.395 1593.63 267.53 Q1591.45 268.641 1588.3 268.641 Q1584.32 268.641 1581.96 266.419 Q1579.62 264.173 1579.62 260.423 Q1579.62 256.048 1582.54 253.826 Q1585.48 251.604 1591.29 251.604 L1597.26 251.604 L1597.26 251.187 Q1597.26 248.247 1595.32 246.65 Q1593.39 245.03 1589.9 245.03 Q1587.68 245.03 1585.57 245.562 Q1583.46 246.095 1581.52 247.159 L1581.52 243.224 Q1583.86 242.322 1586.06 241.882 Q1588.26 241.419 1590.34 241.419 Q1595.96 241.419 1598.74 244.335 Q1601.52 247.252 1601.52 253.178 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1626.17 247.021 Q1627.77 244.15 1629.99 242.785 Q1632.21 241.419 1635.22 241.419 Q1639.27 241.419 1641.47 244.266 Q1643.67 247.09 1643.67 252.321 L1643.67 267.97 L1639.39 267.97 L1639.39 252.46 Q1639.39 248.734 1638.07 246.928 Q1636.75 245.122 1634.04 245.122 Q1630.73 245.122 1628.81 247.322 Q1626.89 249.521 1626.89 253.317 L1626.89 267.97 L1622.61 267.97 L1622.61 252.46 Q1622.61 248.71 1621.29 246.928 Q1619.97 245.122 1617.21 245.122 Q1613.95 245.122 1612.03 247.345 Q1610.11 249.544 1610.11 253.317 L1610.11 267.97 L1605.82 267.97 L1605.82 242.044 L1610.11 242.044 L1610.11 246.072 Q1611.57 243.687 1613.6 242.553 Q1615.64 241.419 1618.44 241.419 Q1621.26 241.419 1623.23 242.854 Q1625.22 244.289 1626.17 247.021 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1668.32 247.021 Q1669.92 244.15 1672.14 242.785 Q1674.37 241.419 1677.38 241.419 Q1681.43 241.419 1683.63 244.266 Q1685.82 247.09 1685.82 252.321 L1685.82 267.97 L1681.54 267.97 L1681.54 252.46 Q1681.54 248.734 1680.22 246.928 Q1678.9 245.122 1676.19 245.122 Q1672.88 245.122 1670.96 247.322 Q1669.04 249.521 1669.04 253.317 L1669.04 267.97 L1664.76 267.97 L1664.76 252.46 Q1664.76 248.71 1663.44 246.928 Q1662.12 245.122 1659.37 245.122 Q1656.1 245.122 1654.18 247.345 Q1652.26 249.544 1652.26 253.317 L1652.26 267.97 L1647.98 267.97 L1647.98 242.044 L1652.26 242.044 L1652.26 246.072 Q1653.72 243.687 1655.76 242.553 Q1657.79 241.419 1660.59 241.419 Q1663.42 241.419 1665.38 242.854 Q1667.38 244.289 1668.32 247.021 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1702.07 254.937 Q1696.91 254.937 1694.92 256.118 Q1692.93 257.298 1692.93 260.146 Q1692.93 262.414 1694.41 263.757 Q1695.92 265.076 1698.49 265.076 Q1702.03 265.076 1704.16 262.576 Q1706.31 260.053 1706.31 255.886 L1706.31 254.937 L1702.07 254.937 M1710.57 253.178 L1710.57 267.97 L1706.31 267.97 L1706.31 264.034 Q1704.85 266.395 1702.68 267.53 Q1700.5 268.641 1697.35 268.641 Q1693.37 268.641 1691.01 266.419 Q1688.67 264.173 1688.67 260.423 Q1688.67 256.048 1691.59 253.826 Q1694.53 251.604 1700.34 251.604 L1706.31 251.604 L1706.31 251.187 Q1706.31 248.247 1704.37 246.65 Q1702.44 245.03 1698.95 245.03 Q1696.73 245.03 1694.62 245.562 Q1692.51 246.095 1690.57 247.159 L1690.57 243.224 Q1692.91 242.322 1695.11 241.882 Q1697.31 241.419 1699.39 241.419 Q1705.01 241.419 1707.79 244.335 Q1710.57 247.252 1710.57 253.178 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip110)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1414.16,311.17 1527.67,311.17 \n  \"/>\n<path clip-path=\"url(#clip110)\" d=\"M 0 0 M1546.59 293.89 L1553.56 293.89 L1562.38 317.408 L1571.24 293.89 L1578.21 293.89 L1578.21 328.45 L1573.65 328.45 L1573.65 298.102 L1564.74 321.806 L1560.04 321.806 L1551.13 298.102 L1551.13 328.45 L1546.59 328.45 L1546.59 293.89 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1604.85 314.422 L1604.85 316.505 L1585.27 316.505 Q1585.55 320.903 1587.91 323.218 Q1590.29 325.51 1594.53 325.51 Q1596.98 325.51 1599.27 324.908 Q1601.59 324.306 1603.86 323.102 L1603.86 327.13 Q1601.57 328.102 1599.16 328.612 Q1596.75 329.121 1594.27 329.121 Q1588.07 329.121 1584.44 325.51 Q1580.82 321.899 1580.82 315.741 Q1580.82 309.376 1584.25 305.649 Q1587.7 301.899 1593.53 301.899 Q1598.76 301.899 1601.8 305.278 Q1604.85 308.635 1604.85 314.422 M1600.59 313.172 Q1600.55 309.677 1598.63 307.593 Q1596.73 305.51 1593.58 305.51 Q1590.01 305.51 1587.86 307.524 Q1585.73 309.538 1585.41 313.195 L1600.59 313.172 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1621.1 315.417 Q1615.94 315.417 1613.95 316.598 Q1611.96 317.778 1611.96 320.626 Q1611.96 322.894 1613.44 324.237 Q1614.95 325.556 1617.51 325.556 Q1621.06 325.556 1623.19 323.056 Q1625.34 320.533 1625.34 316.366 L1625.34 315.417 L1621.1 315.417 M1629.6 313.658 L1629.6 328.45 L1625.34 328.45 L1625.34 324.514 Q1623.88 326.875 1621.7 328.01 Q1619.53 329.121 1616.38 329.121 Q1612.4 329.121 1610.04 326.899 Q1607.7 324.653 1607.7 320.903 Q1607.7 316.528 1610.62 314.306 Q1613.56 312.084 1619.37 312.084 L1625.34 312.084 L1625.34 311.667 Q1625.34 308.727 1623.39 307.13 Q1621.47 305.51 1617.98 305.51 Q1615.76 305.51 1613.65 306.042 Q1611.54 306.575 1609.6 307.639 L1609.6 303.704 Q1611.94 302.802 1614.13 302.362 Q1616.33 301.899 1618.42 301.899 Q1624.04 301.899 1626.82 304.815 Q1629.6 307.732 1629.6 313.658 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip110)\" d=\"M 0 0 M1655.62 312.801 L1655.62 328.45 L1651.36 328.45 L1651.36 312.94 Q1651.36 309.26 1649.92 307.431 Q1648.49 305.602 1645.62 305.602 Q1642.17 305.602 1640.18 307.802 Q1638.19 310.001 1638.19 313.797 L1638.19 328.45 L1633.9 328.45 L1633.9 302.524 L1638.19 302.524 L1638.19 306.552 Q1639.71 304.214 1641.77 303.056 Q1643.86 301.899 1646.57 301.899 Q1651.03 301.899 1653.32 304.677 Q1655.62 307.431 1655.62 312.801 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 39
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "The LogNormal is a good approximation to the BetaPrime for this situation."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "source": [
    "plot(0:0.01:5, x -> lognormal(x)-betaprime(x), label=\"Absolute error (BetaPrime)\")\n",
    "plot!(0:0.01:5, x -> lognormal(x)-gammad(x), label=\"Absolute error (Gamma)\")"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip150\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip150)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip151\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip150)\" d=\"\nM201.867 707.408 L1872.76 707.408 L1872.76 47.2441 L201.867 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip152\">\n    <rect x=\"201\" y=\"47\" width=\"1672\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  249.157,707.408 249.157,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  564.419,707.408 564.419,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  879.681,707.408 879.681,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1194.94,707.408 1194.94,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1510.2,707.408 1510.2,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1825.47,707.408 1825.47,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  249.157,707.408 249.157,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  564.419,707.408 564.419,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  879.681,707.408 879.681,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1194.94,707.408 1194.94,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1510.2,707.408 1510.2,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1825.47,707.408 1825.47,699.486 \n  \"/>\n<path clip-path=\"url(#clip150)\" d=\"M 0 0 M249.157 732.759 Q245.546 732.759 243.717 736.323 Q241.911 739.865 241.911 746.995 Q241.911 754.101 243.717 757.666 Q245.546 761.207 249.157 761.207 Q252.791 761.207 254.596 757.666 Q256.425 754.101 256.425 746.995 Q256.425 739.865 254.596 736.323 Q252.791 732.759 249.157 732.759 M249.157 729.055 Q254.967 729.055 258.022 733.661 Q261.101 738.245 261.101 746.995 Q261.101 755.721 258.022 760.328 Q254.967 764.911 249.157 764.911 Q243.347 764.911 240.268 760.328 Q237.212 755.721 237.212 746.995 Q237.212 738.245 240.268 733.661 Q243.347 729.055 249.157 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M554.801 760.305 L562.44 760.305 L562.44 733.939 L554.129 735.606 L554.129 731.347 L562.393 729.68 L567.069 729.68 L567.069 760.305 L574.708 760.305 L574.708 764.24 L554.801 764.24 L554.801 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M874.333 760.305 L890.653 760.305 L890.653 764.24 L868.709 764.24 L868.709 760.305 Q871.371 757.55 875.954 752.92 Q880.56 748.268 881.741 746.925 Q883.986 744.402 884.866 742.666 Q885.769 740.907 885.769 739.217 Q885.769 736.462 883.824 734.726 Q881.903 732.99 878.801 732.99 Q876.602 732.99 874.148 733.754 Q871.718 734.518 868.94 736.069 L868.94 731.347 Q871.764 730.212 874.218 729.634 Q876.671 729.055 878.708 729.055 Q884.079 729.055 887.273 731.74 Q890.468 734.425 890.468 738.916 Q890.468 741.046 889.657 742.967 Q888.87 744.865 886.764 747.458 Q886.185 748.129 883.083 751.346 Q879.982 754.541 874.333 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1199.19 745.606 Q1202.55 746.323 1204.42 748.592 Q1206.32 750.86 1206.32 754.194 Q1206.32 759.309 1202.8 762.11 Q1199.28 764.911 1192.8 764.911 Q1190.63 764.911 1188.31 764.471 Q1186.02 764.055 1183.57 763.198 L1183.57 758.684 Q1185.51 759.819 1187.82 760.397 Q1190.14 760.976 1192.66 760.976 Q1197.06 760.976 1199.35 759.24 Q1201.67 757.504 1201.67 754.194 Q1201.67 751.138 1199.51 749.425 Q1197.38 747.689 1193.57 747.689 L1189.54 747.689 L1189.54 743.846 L1193.75 743.846 Q1197.2 743.846 1199.03 742.481 Q1200.86 741.092 1200.86 738.499 Q1200.86 735.837 1198.96 734.425 Q1197.08 732.99 1193.57 732.99 Q1191.64 732.99 1189.44 733.407 Q1187.25 733.823 1184.61 734.703 L1184.61 730.536 Q1187.27 729.796 1189.58 729.425 Q1191.92 729.055 1193.98 729.055 Q1199.31 729.055 1202.41 731.485 Q1205.51 733.893 1205.51 738.013 Q1205.51 740.884 1203.87 742.874 Q1202.22 744.842 1199.19 745.606 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1513.21 733.754 L1501.41 752.203 L1513.21 752.203 L1513.21 733.754 M1511.99 729.68 L1517.87 729.68 L1517.87 752.203 L1522.8 752.203 L1522.8 756.092 L1517.87 756.092 L1517.87 764.24 L1513.21 764.24 L1513.21 756.092 L1497.61 756.092 L1497.61 751.578 L1511.99 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1815.74 729.68 L1834.1 729.68 L1834.1 733.615 L1820.03 733.615 L1820.03 742.087 Q1821.05 741.74 1822.06 741.578 Q1823.08 741.393 1824.1 741.393 Q1829.89 741.393 1833.27 744.564 Q1836.65 747.735 1836.65 753.152 Q1836.65 758.731 1833.17 761.832 Q1829.7 764.911 1823.38 764.911 Q1821.21 764.911 1818.94 764.541 Q1816.69 764.17 1814.29 763.43 L1814.29 758.731 Q1816.37 759.865 1818.59 760.42 Q1820.81 760.976 1823.29 760.976 Q1827.3 760.976 1829.63 758.87 Q1831.97 756.763 1831.97 753.152 Q1831.97 749.541 1829.63 747.434 Q1827.3 745.328 1823.29 745.328 Q1821.42 745.328 1819.54 745.745 Q1817.69 746.161 1815.74 747.041 L1815.74 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,606.996 1872.76,606.996 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,497.516 1872.76,497.516 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,388.035 1872.76,388.035 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,278.555 1872.76,278.555 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,169.075 1872.76,169.075 \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  201.867,59.5943 1872.76,59.5943 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,707.408 201.867,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,606.996 221.918,606.996 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,497.516 221.918,497.516 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,388.035 221.918,388.035 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,278.555 221.918,278.555 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,169.075 221.918,169.075 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  201.867,59.5943 221.918,59.5943 \n  \"/>\n<path clip-path=\"url(#clip150)\" d=\"M 0 0 M53.6236 607.447 L83.2994 607.447 L83.2994 611.383 L53.6236 611.383 L53.6236 607.447 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M98.3687 592.795 Q94.7576 592.795 92.929 596.359 Q91.1234 599.901 91.1234 607.031 Q91.1234 614.137 92.929 617.702 Q94.7576 621.244 98.3687 621.244 Q102.003 621.244 103.809 617.702 Q105.637 614.137 105.637 607.031 Q105.637 599.901 103.809 596.359 Q102.003 592.795 98.3687 592.795 M98.3687 589.091 Q104.179 589.091 107.234 593.697 Q110.313 598.281 110.313 607.031 Q110.313 615.758 107.234 620.364 Q104.179 624.947 98.3687 624.947 Q92.5586 624.947 89.4799 620.364 Q86.4244 615.758 86.4244 607.031 Q86.4244 598.281 89.4799 593.697 Q92.5586 589.091 98.3687 589.091 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M115.383 618.396 L120.267 618.396 L120.267 624.276 L115.383 624.276 L115.383 618.396 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M126.146 620.341 L133.785 620.341 L133.785 593.975 L125.475 595.642 L125.475 591.383 L133.739 589.716 L138.415 589.716 L138.415 620.341 L146.054 620.341 L146.054 624.276 L126.146 624.276 L126.146 620.341 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M161.123 592.795 Q157.512 592.795 155.683 596.359 Q153.878 599.901 153.878 607.031 Q153.878 614.137 155.683 617.702 Q157.512 621.244 161.123 621.244 Q164.757 621.244 166.563 617.702 Q168.392 614.137 168.392 607.031 Q168.392 599.901 166.563 596.359 Q164.757 592.795 161.123 592.795 M161.123 589.091 Q166.933 589.091 169.989 593.697 Q173.067 598.281 173.067 607.031 Q173.067 615.758 169.989 620.364 Q166.933 624.947 161.123 624.947 Q155.313 624.947 152.234 620.364 Q149.179 615.758 149.179 607.031 Q149.179 598.281 152.234 593.697 Q155.313 589.091 161.123 589.091 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M53.3921 497.967 L83.0679 497.967 L83.0679 501.902 L53.3921 501.902 L53.3921 497.967 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M98.1373 483.314 Q94.5262 483.314 92.6975 486.879 Q90.8919 490.421 90.8919 497.55 Q90.8919 504.657 92.6975 508.222 Q94.5262 511.763 98.1373 511.763 Q101.771 511.763 103.577 508.222 Q105.406 504.657 105.406 497.55 Q105.406 490.421 103.577 486.879 Q101.771 483.314 98.1373 483.314 M98.1373 479.611 Q103.947 479.611 107.003 484.217 Q110.082 488.8 110.082 497.55 Q110.082 506.277 107.003 510.884 Q103.947 515.467 98.1373 515.467 Q92.3271 515.467 89.2484 510.884 Q86.1929 506.277 86.1929 497.55 Q86.1929 488.8 89.2484 484.217 Q92.3271 479.611 98.1373 479.611 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M115.151 508.916 L120.035 508.916 L120.035 514.796 L115.151 514.796 L115.151 508.916 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M135.105 483.314 Q131.494 483.314 129.665 486.879 Q127.859 490.421 127.859 497.55 Q127.859 504.657 129.665 508.222 Q131.494 511.763 135.105 511.763 Q138.739 511.763 140.544 508.222 Q142.373 504.657 142.373 497.55 Q142.373 490.421 140.544 486.879 Q138.739 483.314 135.105 483.314 M135.105 479.611 Q140.915 479.611 143.97 484.217 Q147.049 488.8 147.049 497.55 Q147.049 506.277 143.97 510.884 Q140.915 515.467 135.105 515.467 Q129.294 515.467 126.216 510.884 Q123.16 506.277 123.16 497.55 Q123.16 488.8 126.216 484.217 Q129.294 479.611 135.105 479.611 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M152.165 480.236 L170.521 480.236 L170.521 484.171 L156.447 484.171 L156.447 492.643 Q157.466 492.296 158.484 492.134 Q159.503 491.949 160.521 491.949 Q166.308 491.949 169.688 495.12 Q173.067 498.291 173.067 503.708 Q173.067 509.286 169.595 512.388 Q166.123 515.467 159.804 515.467 Q157.628 515.467 155.359 515.097 Q153.114 514.726 150.706 513.985 L150.706 509.286 Q152.79 510.421 155.012 510.976 Q157.234 511.532 159.711 511.532 Q163.716 511.532 166.054 509.425 Q168.392 507.319 168.392 503.708 Q168.392 500.097 166.054 497.99 Q163.716 495.884 159.711 495.884 Q157.836 495.884 155.961 496.3 Q154.109 496.717 152.165 497.597 L152.165 480.236 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M97.1419 373.834 Q93.5308 373.834 91.7021 377.399 Q89.8966 380.94 89.8966 388.07 Q89.8966 395.176 91.7021 398.741 Q93.5308 402.283 97.1419 402.283 Q100.776 402.283 102.582 398.741 Q104.41 395.176 104.41 388.07 Q104.41 380.94 102.582 377.399 Q100.776 373.834 97.1419 373.834 M97.1419 370.13 Q102.952 370.13 106.008 374.737 Q109.086 379.32 109.086 388.07 Q109.086 396.797 106.008 401.403 Q102.952 405.987 97.1419 405.987 Q91.3317 405.987 88.2531 401.403 Q85.1975 396.797 85.1975 388.07 Q85.1975 379.32 88.2531 374.737 Q91.3317 370.13 97.1419 370.13 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M114.156 399.436 L119.04 399.436 L119.04 405.315 L114.156 405.315 L114.156 399.436 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M134.109 373.834 Q130.498 373.834 128.67 377.399 Q126.864 380.94 126.864 388.07 Q126.864 395.176 128.67 398.741 Q130.498 402.283 134.109 402.283 Q137.744 402.283 139.549 398.741 Q141.378 395.176 141.378 388.07 Q141.378 380.94 139.549 377.399 Q137.744 373.834 134.109 373.834 M134.109 370.13 Q139.919 370.13 142.975 374.737 Q146.054 379.32 146.054 388.07 Q146.054 396.797 142.975 401.403 Q139.919 405.987 134.109 405.987 Q128.299 405.987 125.22 401.403 Q122.165 396.797 122.165 388.07 Q122.165 379.32 125.22 374.737 Q128.299 370.13 134.109 370.13 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M161.123 373.834 Q157.512 373.834 155.683 377.399 Q153.878 380.94 153.878 388.07 Q153.878 395.176 155.683 398.741 Q157.512 402.283 161.123 402.283 Q164.757 402.283 166.563 398.741 Q168.392 395.176 168.392 388.07 Q168.392 380.94 166.563 377.399 Q164.757 373.834 161.123 373.834 M161.123 370.13 Q166.933 370.13 169.989 374.737 Q173.067 379.32 173.067 388.07 Q173.067 396.797 169.989 401.403 Q166.933 405.987 161.123 405.987 Q155.313 405.987 152.234 401.403 Q149.179 396.797 149.179 388.07 Q149.179 379.32 152.234 374.737 Q155.313 370.13 161.123 370.13 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M98.1373 264.354 Q94.5262 264.354 92.6975 267.918 Q90.8919 271.46 90.8919 278.59 Q90.8919 285.696 92.6975 289.261 Q94.5262 292.803 98.1373 292.803 Q101.771 292.803 103.577 289.261 Q105.406 285.696 105.406 278.59 Q105.406 271.46 103.577 267.918 Q101.771 264.354 98.1373 264.354 M98.1373 260.65 Q103.947 260.65 107.003 265.256 Q110.082 269.84 110.082 278.59 Q110.082 287.317 107.003 291.923 Q103.947 296.506 98.1373 296.506 Q92.3271 296.506 89.2484 291.923 Q86.1929 287.317 86.1929 278.59 Q86.1929 269.84 89.2484 265.256 Q92.3271 260.65 98.1373 260.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M115.151 289.955 L120.035 289.955 L120.035 295.835 L115.151 295.835 L115.151 289.955 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M135.105 264.354 Q131.494 264.354 129.665 267.918 Q127.859 271.46 127.859 278.59 Q127.859 285.696 129.665 289.261 Q131.494 292.803 135.105 292.803 Q138.739 292.803 140.544 289.261 Q142.373 285.696 142.373 278.59 Q142.373 271.46 140.544 267.918 Q138.739 264.354 135.105 264.354 M135.105 260.65 Q140.915 260.65 143.97 265.256 Q147.049 269.84 147.049 278.59 Q147.049 287.317 143.97 291.923 Q140.915 296.506 135.105 296.506 Q129.294 296.506 126.216 291.923 Q123.16 287.317 123.16 278.59 Q123.16 269.84 126.216 265.256 Q129.294 260.65 135.105 260.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M152.165 261.275 L170.521 261.275 L170.521 265.21 L156.447 265.21 L156.447 273.682 Q157.466 273.335 158.484 273.173 Q159.503 272.988 160.521 272.988 Q166.308 272.988 169.688 276.159 Q173.067 279.33 173.067 284.747 Q173.067 290.326 169.595 293.428 Q166.123 296.506 159.804 296.506 Q157.628 296.506 155.359 296.136 Q153.114 295.766 150.706 295.025 L150.706 290.326 Q152.79 291.46 155.012 292.016 Q157.234 292.571 159.711 292.571 Q163.716 292.571 166.054 290.465 Q168.392 288.358 168.392 284.747 Q168.392 281.136 166.054 279.03 Q163.716 276.923 159.711 276.923 Q157.836 276.923 155.961 277.34 Q154.109 277.756 152.165 278.636 L152.165 261.275 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M98.3687 154.873 Q94.7576 154.873 92.929 158.438 Q91.1234 161.98 91.1234 169.109 Q91.1234 176.216 92.929 179.781 Q94.7576 183.322 98.3687 183.322 Q102.003 183.322 103.809 179.781 Q105.637 176.216 105.637 169.109 Q105.637 161.98 103.809 158.438 Q102.003 154.873 98.3687 154.873 M98.3687 151.17 Q104.179 151.17 107.234 155.776 Q110.313 160.359 110.313 169.109 Q110.313 177.836 107.234 182.443 Q104.179 187.026 98.3687 187.026 Q92.5586 187.026 89.4799 182.443 Q86.4244 177.836 86.4244 169.109 Q86.4244 160.359 89.4799 155.776 Q92.5586 151.17 98.3687 151.17 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M115.383 180.475 L120.267 180.475 L120.267 186.355 L115.383 186.355 L115.383 180.475 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M126.146 182.419 L133.785 182.419 L133.785 156.054 L125.475 157.721 L125.475 153.461 L133.739 151.795 L138.415 151.795 L138.415 182.419 L146.054 182.419 L146.054 186.355 L126.146 186.355 L126.146 182.419 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M161.123 154.873 Q157.512 154.873 155.683 158.438 Q153.878 161.98 153.878 169.109 Q153.878 176.216 155.683 179.781 Q157.512 183.322 161.123 183.322 Q164.757 183.322 166.563 179.781 Q168.392 176.216 168.392 169.109 Q168.392 161.98 166.563 158.438 Q164.757 154.873 161.123 154.873 M161.123 151.17 Q166.933 151.17 169.989 155.776 Q173.067 160.359 173.067 169.109 Q173.067 177.836 169.989 182.443 Q166.933 187.026 161.123 187.026 Q155.313 187.026 152.234 182.443 Q149.179 177.836 149.179 169.109 Q149.179 160.359 152.234 155.776 Q155.313 151.17 161.123 151.17 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M99.3641 45.393 Q95.753 45.393 93.9243 48.9578 Q92.1188 52.4995 92.1188 59.629 Q92.1188 66.7355 93.9243 70.3003 Q95.753 73.8419 99.3641 73.8419 Q102.998 73.8419 104.804 70.3003 Q106.633 66.7355 106.633 59.629 Q106.633 52.4995 104.804 48.9578 Q102.998 45.393 99.3641 45.393 M99.3641 41.6893 Q105.174 41.6893 108.23 46.2958 Q111.308 50.8791 111.308 59.629 Q111.308 68.3559 108.23 72.9623 Q105.174 77.5456 99.3641 77.5456 Q93.5539 77.5456 90.4753 72.9623 Q87.4197 68.3559 87.4197 59.629 Q87.4197 50.8791 90.4753 46.2958 Q93.5539 41.6893 99.3641 41.6893 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M116.378 70.9947 L121.262 70.9947 L121.262 76.8743 L116.378 76.8743 L116.378 70.9947 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M127.142 72.9392 L134.781 72.9392 L134.781 46.5736 L126.47 48.2402 L126.47 43.981 L134.734 42.3143 L139.41 42.3143 L139.41 72.9392 L147.049 72.9392 L147.049 76.8743 L127.142 76.8743 L127.142 72.9392 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M152.165 42.3143 L170.521 42.3143 L170.521 46.2495 L156.447 46.2495 L156.447 54.7217 Q157.466 54.3744 158.484 54.2124 Q159.503 54.0272 160.521 54.0272 Q166.308 54.0272 169.688 57.1985 Q173.067 60.3698 173.067 65.7864 Q173.067 71.3651 169.595 74.4669 Q166.123 77.5456 159.804 77.5456 Q157.628 77.5456 155.359 77.1752 Q153.114 76.8049 150.706 76.0641 L150.706 71.3651 Q152.79 72.4993 155.012 73.0549 Q157.234 73.6105 159.711 73.6105 Q163.716 73.6105 166.054 71.504 Q168.392 69.3975 168.392 65.7864 Q168.392 62.1753 166.054 60.0689 Q163.716 57.9624 159.711 57.9624 Q157.836 57.9624 155.961 58.3791 Q154.109 58.7957 152.165 59.6753 L152.165 42.3143 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip152)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  252.309,388.035 255.462,388.035 258.615,388.035 261.767,388.036 264.92,388.037 268.072,388.041 271.225,388.055 274.378,388.086 277.53,388.149 280.683,388.26 \n  283.836,388.438 286.988,388.699 290.141,389.053 293.293,389.504 296.446,390.045 299.599,390.659 302.751,391.317 305.904,391.982 309.056,392.611 312.209,393.157 \n  315.362,393.57 318.514,393.804 321.667,393.817 324.82,393.572 327.972,393.044 331.125,392.213 334.277,391.073 337.43,389.624 340.583,387.879 343.735,385.857 \n  346.888,383.587 350.041,381.102 353.193,378.442 356.346,375.65 359.498,372.771 362.651,369.852 365.804,366.939 368.956,364.076 372.109,361.308 375.261,358.673 \n  378.414,356.208 381.567,353.945 384.719,351.913 387.872,350.134 391.025,348.629 394.177,347.41 397.33,346.488 400.482,345.869 403.635,345.554 406.788,345.541 \n  409.94,345.824 413.093,346.395 416.246,347.243 419.398,348.353 422.551,349.711 425.703,351.299 428.856,353.099 432.009,355.091 435.161,357.255 438.314,359.572 \n  441.467,362.019 444.619,364.578 447.772,367.227 450.924,369.947 454.077,372.719 457.23,375.524 460.382,378.346 463.535,381.168 466.687,383.973 469.84,386.748 \n  472.993,389.48 476.145,392.156 479.298,394.765 482.451,397.297 485.603,399.743 488.756,402.096 491.908,404.348 495.061,406.495 498.214,408.53 501.366,410.45 \n  504.519,412.253 507.672,413.936 510.824,415.497 513.977,416.937 517.129,418.254 520.282,419.449 523.435,420.524 526.587,421.48 529.74,422.319 532.892,423.044 \n  536.045,423.658 539.198,424.163 542.35,424.562 545.503,424.861 548.656,425.062 551.808,425.169 554.961,425.187 558.113,425.12 561.266,424.972 564.419,424.747 \n  567.571,424.45 570.724,424.084 573.877,423.655 577.029,423.167 580.182,422.624 583.334,422.029 586.487,421.388 589.64,420.703 592.792,419.979 595.945,419.22 \n  599.098,418.429 602.25,417.609 605.403,416.765 608.555,415.898 611.708,415.014 614.861,414.113 618.013,413.2 621.166,412.276 624.318,411.345 627.471,410.409 \n  630.624,409.47 633.776,408.53 636.929,407.592 640.082,406.657 643.234,405.727 646.387,404.803 649.539,403.888 652.692,402.982 655.845,402.088 658.997,401.205 \n  662.15,400.336 665.303,399.48 668.455,398.64 671.608,397.816 674.76,397.009 677.913,396.219 681.066,395.447 684.218,394.693 687.371,393.959 690.523,393.243 \n  693.676,392.547 696.829,391.871 699.981,391.214 703.134,390.578 706.287,389.962 709.439,389.366 712.592,388.79 715.744,388.234 718.897,387.698 722.05,387.182 \n  725.202,386.686 728.355,386.21 731.508,385.752 734.66,385.314 737.813,384.895 740.965,384.494 744.118,384.112 747.271,383.747 750.423,383.4 753.576,383.071 \n  756.728,382.758 759.881,382.462 763.034,382.182 766.186,381.918 769.339,381.67 772.492,381.436 775.644,381.217 778.797,381.013 781.949,380.822 785.102,380.645 \n  788.255,380.481 791.407,380.329 794.56,380.19 797.713,380.063 800.865,379.947 804.018,379.843 807.17,379.749 810.323,379.666 813.476,379.592 816.628,379.529 \n  819.781,379.474 822.934,379.429 826.086,379.392 829.239,379.363 832.391,379.343 835.544,379.33 838.697,379.324 841.849,379.325 845.002,379.333 848.154,379.347 \n  851.307,379.367 854.46,379.393 857.612,379.424 860.765,379.461 863.918,379.503 867.07,379.549 870.223,379.6 873.375,379.655 876.528,379.714 879.681,379.776 \n  882.833,379.843 885.986,379.912 889.139,379.985 892.291,380.06 895.444,380.139 898.596,380.219 901.749,380.303 904.902,380.388 908.054,380.475 911.207,380.565 \n  914.359,380.655 917.512,380.748 920.665,380.842 923.817,380.937 926.97,381.033 930.123,381.13 933.275,381.229 936.428,381.327 939.58,381.427 942.733,381.527 \n  945.886,381.628 949.038,381.729 952.191,381.83 955.344,381.931 958.496,382.032 961.649,382.134 964.801,382.235 967.954,382.336 971.107,382.437 974.259,382.538 \n  977.412,382.638 980.565,382.738 983.717,382.837 986.87,382.936 990.022,383.035 993.175,383.132 996.328,383.229 999.48,383.326 1002.63,383.421 1005.79,383.516 \n  1008.94,383.61 1012.09,383.703 1015.24,383.795 1018.4,383.886 1021.55,383.977 1024.7,384.066 1027.85,384.155 1031.01,384.242 1034.16,384.329 1037.31,384.414 \n  1040.46,384.498 1043.62,384.582 1046.77,384.664 1049.92,384.745 1053.07,384.825 1056.23,384.904 1059.38,384.982 1062.53,385.059 1065.69,385.134 1068.84,385.209 \n  1071.99,385.282 1075.14,385.354 1078.3,385.426 1081.45,385.496 1084.6,385.564 1087.75,385.632 1090.91,385.699 1094.06,385.764 1097.21,385.829 1100.36,385.892 \n  1103.52,385.954 1106.67,386.016 1109.82,386.076 1112.97,386.135 1116.13,386.193 1119.28,386.249 1122.43,386.305 1125.59,386.36 1128.74,386.414 1131.89,386.466 \n  1135.04,386.518 1138.2,386.569 1141.35,386.618 1144.5,386.667 1147.65,386.715 1150.81,386.762 1153.96,386.807 1157.11,386.852 1160.26,386.896 1163.42,386.939 \n  1166.57,386.981 1169.72,387.023 1172.87,387.063 1176.03,387.102 1179.18,387.141 1182.33,387.179 1185.48,387.216 1188.64,387.252 1191.79,387.287 1194.94,387.322 \n  1198.1,387.355 1201.25,387.388 1204.4,387.421 1207.55,387.452 1210.71,387.483 1213.86,387.513 1217.01,387.542 1220.16,387.57 1223.32,387.598 1226.47,387.625 \n  1229.62,387.652 1232.77,387.678 1235.93,387.703 1239.08,387.727 1242.23,387.751 1245.38,387.775 1248.54,387.798 1251.69,387.82 1254.84,387.841 1258,387.862 \n  1261.15,387.883 1264.3,387.903 1267.45,387.922 1270.61,387.941 1273.76,387.959 1276.91,387.977 1280.06,387.994 1283.22,388.011 1286.37,388.027 1289.52,388.043 \n  1292.67,388.059 1295.83,388.074 1298.98,388.088 1302.13,388.102 1305.28,388.116 1308.44,388.129 1311.59,388.142 1314.74,388.155 1317.89,388.167 1321.05,388.178 \n  1324.2,388.19 1327.35,388.201 1330.51,388.211 1333.66,388.222 1336.81,388.231 1339.96,388.241 1343.12,388.25 1346.27,388.259 1349.42,388.268 1352.57,388.276 \n  1355.73,388.284 1358.88,388.292 1362.03,388.299 1365.18,388.307 1368.34,388.314 1371.49,388.32 1374.64,388.327 1377.79,388.333 1380.95,388.339 1384.1,388.344 \n  1387.25,388.35 1390.41,388.355 1393.56,388.36 1396.71,388.365 1399.86,388.369 1403.02,388.374 1406.17,388.378 1409.32,388.382 1412.47,388.385 1415.63,388.389 \n  1418.78,388.392 1421.93,388.395 1425.08,388.398 1428.24,388.401 1431.39,388.404 1434.54,388.406 1437.69,388.409 1440.85,388.411 1444,388.413 1447.15,388.415 \n  1450.3,388.417 1453.46,388.419 1456.61,388.42 1459.76,388.421 1462.92,388.423 1466.07,388.424 1469.22,388.425 1472.37,388.426 1475.53,388.427 1478.68,388.427 \n  1481.83,388.428 1484.98,388.428 1488.14,388.429 1491.29,388.429 1494.44,388.429 1497.59,388.429 1500.75,388.429 1503.9,388.429 1507.05,388.429 1510.2,388.429 \n  1513.36,388.428 1516.51,388.428 1519.66,388.428 1522.82,388.427 1525.97,388.426 1529.12,388.426 1532.27,388.425 1535.43,388.424 1538.58,388.423 1541.73,388.422 \n  1544.88,388.421 1548.04,388.42 1551.19,388.419 1554.34,388.418 1557.49,388.417 1560.65,388.416 1563.8,388.414 1566.95,388.413 1570.1,388.412 1573.26,388.41 \n  1576.41,388.409 1579.56,388.408 1582.71,388.406 1585.87,388.404 1589.02,388.403 1592.17,388.401 1595.33,388.4 1598.48,388.398 1601.63,388.396 1604.78,388.395 \n  1607.94,388.393 1611.09,388.391 1614.24,388.389 1617.39,388.387 1620.55,388.386 1623.7,388.384 1626.85,388.382 1630,388.38 1633.16,388.378 1636.31,388.376 \n  1639.46,388.374 1642.61,388.372 1645.77,388.37 1648.92,388.368 1652.07,388.366 1655.23,388.364 1658.38,388.362 1661.53,388.36 1664.68,388.358 1667.84,388.356 \n  1670.99,388.354 1674.14,388.352 1677.29,388.35 1680.45,388.348 1683.6,388.346 1686.75,388.344 1689.9,388.342 1693.06,388.34 1696.21,388.338 1699.36,388.336 \n  1702.51,388.334 1705.67,388.331 1708.82,388.329 1711.97,388.327 1715.12,388.325 1718.28,388.323 1721.43,388.321 1724.58,388.319 1727.74,388.317 1730.89,388.315 \n  1734.04,388.313 1737.19,388.311 1740.35,388.309 1743.5,388.307 1746.65,388.305 1749.8,388.303 1752.96,388.301 1756.11,388.298 1759.26,388.296 1762.41,388.294 \n  1765.57,388.292 1768.72,388.29 1771.87,388.288 1775.02,388.286 1778.18,388.284 1781.33,388.282 1784.48,388.281 1787.64,388.279 1790.79,388.277 1793.94,388.275 \n  1797.09,388.273 1800.25,388.271 1803.4,388.269 1806.55,388.267 1809.7,388.265 1812.86,388.263 1816.01,388.261 1819.16,388.259 1822.31,388.258 1825.47,388.256 \n  \n  \"/>\n<polyline clip-path=\"url(#clip152)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  252.309,388.063 255.462,388.283 258.615,388.911 261.767,390.158 264.92,392.219 268.072,395.268 271.225,399.456 274.378,404.912 277.53,411.737 280.683,420.001 \n  283.836,429.74 286.988,440.951 290.141,453.589 293.293,467.564 296.446,482.741 299.599,498.94 302.751,515.946 305.904,533.509 309.056,551.355 312.209,569.192 \n  315.362,586.722 318.514,603.647 321.667,619.679 324.82,634.545 327.972,647.993 331.125,659.802 334.277,669.779 337.43,677.766 340.583,683.639 343.735,687.309 \n  346.888,688.724 350.041,687.863 353.193,684.738 356.346,679.389 359.498,671.883 362.651,662.31 365.804,650.782 368.956,637.425 372.109,622.382 375.261,605.804 \n  378.414,587.852 381.567,568.693 384.719,548.496 387.872,527.43 391.025,505.663 394.177,483.361 397.33,460.685 400.482,437.79 403.635,414.822 406.788,391.922 \n  409.94,369.222 413.093,346.842 416.246,324.897 419.398,303.488 422.551,282.709 425.703,262.645 428.856,243.367 432.009,224.941 435.161,207.422 438.314,190.857 \n  441.467,175.284 444.619,160.731 447.772,147.223 450.924,134.774 454.077,123.393 457.23,113.082 460.382,103.839 463.535,95.6538 466.687,88.5146 469.84,82.4037 \n  472.993,77.2999 476.145,73.1785 479.298,70.0119 482.451,67.7699 485.603,66.42 488.756,65.928 491.908,66.2579 495.061,67.3726 498.214,69.2341 501.366,71.8035 \n  504.519,75.0417 507.672,78.9091 510.824,83.3664 513.977,88.374 517.129,93.8932 520.282,99.8852 523.435,106.312 526.587,113.137 529.74,120.324 532.892,127.836 \n  536.045,135.641 539.198,143.703 542.35,151.992 545.503,160.476 548.656,169.125 551.808,177.911 554.961,186.806 558.113,195.784 561.266,204.82 564.419,213.892 \n  567.571,222.975 570.724,232.05 573.877,241.097 577.029,250.097 580.182,259.032 583.334,267.887 586.487,276.645 589.64,285.294 592.792,293.82 595.945,302.212 \n  599.098,310.458 602.25,318.548 605.403,326.474 608.555,334.228 611.708,341.802 614.861,349.189 618.013,356.386 621.166,363.385 624.318,370.184 627.471,376.779 \n  630.624,383.168 633.776,389.347 636.929,395.315 640.082,401.072 643.234,406.617 646.387,411.949 649.539,417.069 652.692,421.978 655.845,426.677 658.997,431.168 \n  662.15,435.452 665.303,439.532 668.455,443.409 671.608,447.088 674.76,450.571 677.913,453.86 681.066,456.96 684.218,459.874 687.371,462.605 690.523,465.158 \n  693.676,467.537 696.829,469.745 699.981,471.787 703.134,473.666 706.287,475.389 709.439,476.958 712.592,478.378 715.744,479.653 718.897,480.789 722.05,481.789 \n  725.202,482.658 728.355,483.4 731.508,484.02 734.66,484.522 737.813,484.911 740.965,485.191 744.118,485.365 747.271,485.439 750.423,485.416 753.576,485.301 \n  756.728,485.098 759.881,484.81 763.034,484.442 766.186,483.997 769.339,483.479 772.492,482.891 775.644,482.238 778.797,481.523 781.949,480.749 785.102,479.919 \n  788.255,479.038 791.407,478.107 794.56,477.131 797.713,476.111 800.865,475.051 804.018,473.954 807.17,472.823 810.323,471.66 813.476,470.467 816.628,469.248 \n  819.781,468.004 822.934,466.738 826.086,465.452 829.239,464.148 832.391,462.829 835.544,461.496 838.697,460.151 841.849,458.796 845.002,457.433 848.154,456.063 \n  851.307,454.689 854.46,453.311 857.612,451.931 860.765,450.55 863.918,449.171 867.07,447.793 870.223,446.419 873.375,445.049 876.528,443.685 879.681,442.328 \n  882.833,440.978 885.986,439.636 889.139,438.304 892.291,436.983 895.444,435.672 898.596,434.373 901.749,433.086 904.902,431.813 908.054,430.553 911.207,429.307 \n  914.359,428.076 917.512,426.86 920.665,425.66 923.817,424.476 926.97,423.308 930.123,422.157 933.275,421.023 936.428,419.906 939.58,418.807 942.733,417.725 \n  945.886,416.662 949.038,415.616 952.191,414.589 955.344,413.58 958.496,412.589 961.649,411.617 964.801,410.663 967.954,409.728 971.107,408.811 974.259,407.913 \n  977.412,407.033 980.565,406.171 983.717,405.328 986.87,404.504 990.022,403.697 993.175,402.909 996.328,402.138 999.48,401.386 1002.63,400.651 1005.79,399.933 \n  1008.94,399.233 1012.09,398.551 1015.24,397.885 1018.4,397.236 1021.55,396.604 1024.7,395.989 1027.85,395.389 1031.01,394.806 1034.16,394.239 1037.31,393.687 \n  1040.46,393.151 1043.62,392.63 1046.77,392.124 1049.92,391.633 1053.07,391.156 1056.23,390.694 1059.38,390.245 1062.53,389.811 1065.69,389.39 1068.84,388.983 \n  1071.99,388.588 1075.14,388.207 1078.3,387.838 1081.45,387.481 1084.6,387.137 1087.75,386.805 1090.91,386.484 1094.06,386.174 1097.21,385.876 1100.36,385.589 \n  1103.52,385.313 1106.67,385.047 1109.82,384.791 1112.97,384.545 1116.13,384.31 1119.28,384.083 1122.43,383.867 1125.59,383.659 1128.74,383.46 1131.89,383.27 \n  1135.04,383.088 1138.2,382.915 1141.35,382.75 1144.5,382.593 1147.65,382.443 1150.81,382.301 1153.96,382.166 1157.11,382.038 1160.26,381.917 1163.42,381.803 \n  1166.57,381.696 1169.72,381.594 1172.87,381.499 1176.03,381.41 1179.18,381.327 1182.33,381.249 1185.48,381.177 1188.64,381.11 1191.79,381.048 1194.94,380.992 \n  1198.1,380.94 1201.25,380.893 1204.4,380.85 1207.55,380.812 1210.71,380.778 1213.86,380.748 1217.01,380.723 1220.16,380.701 1223.32,380.683 1226.47,380.668 \n  1229.62,380.657 1232.77,380.649 1235.93,380.645 1239.08,380.643 1242.23,380.645 1245.38,380.65 1248.54,380.657 1251.69,380.667 1254.84,380.679 1258,380.695 \n  1261.15,380.712 1264.3,380.732 1267.45,380.754 1270.61,380.778 1273.76,380.804 1276.91,380.832 1280.06,380.862 1283.22,380.893 1286.37,380.927 1289.52,380.962 \n  1292.67,380.998 1295.83,381.036 1298.98,381.075 1302.13,381.116 1305.28,381.158 1308.44,381.201 1311.59,381.245 1314.74,381.29 1317.89,381.336 1321.05,381.383 \n  1324.2,381.432 1327.35,381.48 1330.51,381.53 1333.66,381.581 1336.81,381.632 1339.96,381.683 1343.12,381.736 1346.27,381.789 1349.42,381.842 1352.57,381.896 \n  1355.73,381.95 1358.88,382.005 1362.03,382.06 1365.18,382.115 1368.34,382.171 1371.49,382.226 1374.64,382.282 1377.79,382.339 1380.95,382.395 1384.1,382.451 \n  1387.25,382.508 1390.41,382.564 1393.56,382.621 1396.71,382.677 1399.86,382.734 1403.02,382.79 1406.17,382.847 1409.32,382.903 1412.47,382.96 1415.63,383.016 \n  1418.78,383.072 1421.93,383.127 1425.08,383.183 1428.24,383.238 1431.39,383.294 1434.54,383.349 1437.69,383.403 1440.85,383.458 1444,383.512 1447.15,383.566 \n  1450.3,383.619 1453.46,383.673 1456.61,383.726 1459.76,383.778 1462.92,383.831 1466.07,383.883 1469.22,383.934 1472.37,383.986 1475.53,384.036 1478.68,384.087 \n  1481.83,384.137 1484.98,384.187 1488.14,384.236 1491.29,384.285 1494.44,384.334 1497.59,384.382 1500.75,384.429 1503.9,384.477 1507.05,384.523 1510.2,384.57 \n  1513.36,384.616 1516.51,384.661 1519.66,384.707 1522.82,384.751 1525.97,384.796 1529.12,384.839 1532.27,384.883 1535.43,384.926 1538.58,384.968 1541.73,385.01 \n  1544.88,385.052 1548.04,385.093 1551.19,385.134 1554.34,385.174 1557.49,385.214 1560.65,385.253 1563.8,385.292 1566.95,385.331 1570.1,385.369 1573.26,385.406 \n  1576.41,385.444 1579.56,385.48 1582.71,385.517 1585.87,385.553 1589.02,385.588 1592.17,385.623 1595.33,385.658 1598.48,385.692 1601.63,385.726 1604.78,385.759 \n  1607.94,385.792 1611.09,385.825 1614.24,385.857 1617.39,385.889 1620.55,385.92 1623.7,385.951 1626.85,385.981 1630,386.012 1633.16,386.041 1636.31,386.071 \n  1639.46,386.1 1642.61,386.128 1645.77,386.157 1648.92,386.184 1652.07,386.212 1655.23,386.239 1658.38,386.266 1661.53,386.292 1664.68,386.318 1667.84,386.344 \n  1670.99,386.369 1674.14,386.394 1677.29,386.419 1680.45,386.443 1683.6,386.467 1686.75,386.491 1689.9,386.514 1693.06,386.537 1696.21,386.56 1699.36,386.582 \n  1702.51,386.604 1705.67,386.626 1708.82,386.647 1711.97,386.668 1715.12,386.689 1718.28,386.71 1721.43,386.73 1724.58,386.75 1727.74,386.77 1730.89,386.789 \n  1734.04,386.808 1737.19,386.827 1740.35,386.845 1743.5,386.864 1746.65,386.882 1749.8,386.899 1752.96,386.917 1756.11,386.934 1759.26,386.951 1762.41,386.968 \n  1765.57,386.984 1768.72,387 1771.87,387.016 1775.02,387.032 1778.18,387.048 1781.33,387.063 1784.48,387.078 1787.64,387.093 1790.79,387.107 1793.94,387.122 \n  1797.09,387.136 1800.25,387.15 1803.4,387.163 1806.55,387.177 1809.7,387.19 1812.86,387.203 1816.01,387.216 1819.16,387.229 1822.31,387.242 1825.47,387.254 \n  \n  \"/>\n<path clip-path=\"url(#clip150)\" d=\"\nM1054.81 250.69 L1817.06 250.69 L1817.06 69.2496 L1054.81 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1054.81,250.69 1817.06,250.69 1817.06,69.2496 1054.81,69.2496 1054.81,250.69 \n  \"/>\n<polyline clip-path=\"url(#clip150)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1073.38,129.73 1184.77,129.73 \n  \"/>\n<path clip-path=\"url(#clip150)\" d=\"M 0 0 M1219.17 117.056 L1212.83 134.255 L1225.53 134.255 L1219.17 117.056 M1216.53 112.45 L1221.83 112.45 L1235 147.01 L1230.14 147.01 L1226.99 138.144 L1211.41 138.144 L1208.27 147.01 L1203.33 147.01 L1216.53 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1258.08 134.07 Q1258.08 129.371 1256.14 126.709 Q1254.21 124.024 1250.83 124.024 Q1247.45 124.024 1245.51 126.709 Q1243.59 129.371 1243.59 134.07 Q1243.59 138.769 1245.51 141.454 Q1247.45 144.116 1250.83 144.116 Q1254.21 144.116 1256.14 141.454 Q1258.08 138.769 1258.08 134.07 M1243.59 125.019 Q1244.93 122.704 1246.97 121.593 Q1249.03 120.459 1251.88 120.459 Q1256.6 120.459 1259.54 124.209 Q1262.5 127.959 1262.5 134.07 Q1262.5 140.181 1259.54 143.931 Q1256.6 147.681 1251.88 147.681 Q1249.03 147.681 1246.97 146.57 Q1244.93 145.435 1243.59 143.121 L1243.59 147.01 L1239.31 147.01 L1239.31 110.991 L1243.59 110.991 L1243.59 125.019 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1283.5 121.848 L1283.5 125.875 Q1281.69 124.949 1279.75 124.487 Q1277.8 124.024 1275.72 124.024 Q1272.55 124.024 1270.95 124.996 Q1269.38 125.968 1269.38 127.912 Q1269.38 129.394 1270.51 130.25 Q1271.64 131.084 1275.07 131.848 L1276.53 132.172 Q1281.07 133.144 1282.96 134.926 Q1284.89 136.686 1284.89 139.857 Q1284.89 143.468 1282.01 145.574 Q1279.17 147.681 1274.17 147.681 Q1272.08 147.681 1269.82 147.264 Q1267.57 146.871 1265.07 146.06 L1265.07 141.662 Q1267.43 142.889 1269.72 143.514 Q1272.01 144.116 1274.26 144.116 Q1277.27 144.116 1278.89 143.098 Q1280.51 142.056 1280.51 140.181 Q1280.51 138.445 1279.33 137.519 Q1278.17 136.593 1274.21 135.736 L1272.73 135.389 Q1268.77 134.556 1267.01 132.843 Q1265.26 131.107 1265.26 128.098 Q1265.26 124.44 1267.85 122.45 Q1270.44 120.459 1275.21 120.459 Q1277.57 120.459 1279.65 120.806 Q1281.74 121.153 1283.5 121.848 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1299.4 124.07 Q1295.97 124.07 1293.98 126.755 Q1291.99 129.417 1291.99 134.07 Q1291.99 138.723 1293.96 141.408 Q1295.95 144.07 1299.4 144.07 Q1302.8 144.07 1304.79 141.385 Q1306.78 138.699 1306.78 134.07 Q1306.78 129.463 1304.79 126.778 Q1302.8 124.07 1299.4 124.07 M1299.4 120.459 Q1304.95 120.459 1308.13 124.07 Q1311.3 127.681 1311.3 134.07 Q1311.3 140.436 1308.13 144.07 Q1304.95 147.681 1299.4 147.681 Q1293.82 147.681 1290.65 144.07 Q1287.5 140.436 1287.5 134.07 Q1287.5 127.681 1290.65 124.07 Q1293.82 120.459 1299.4 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1315.76 110.991 L1320.02 110.991 L1320.02 147.01 L1315.76 147.01 L1315.76 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1324.05 136.778 L1324.05 121.084 L1328.31 121.084 L1328.31 136.616 Q1328.31 140.297 1329.75 142.148 Q1331.18 143.977 1334.05 143.977 Q1337.5 143.977 1339.49 141.778 Q1341.51 139.579 1341.51 135.783 L1341.51 121.084 L1345.76 121.084 L1345.76 147.01 L1341.51 147.01 L1341.51 143.028 Q1339.95 145.389 1337.89 146.547 Q1335.86 147.681 1333.15 147.681 Q1328.68 147.681 1326.37 144.903 Q1324.05 142.125 1324.05 136.778 M1334.77 120.459 L1334.77 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1354.44 113.723 L1354.44 121.084 L1363.22 121.084 L1363.22 124.394 L1354.44 124.394 L1354.44 138.468 Q1354.44 141.639 1355.3 142.542 Q1356.18 143.445 1358.84 143.445 L1363.22 143.445 L1363.22 147.01 L1358.84 147.01 Q1353.91 147.01 1352.04 145.181 Q1350.16 143.329 1350.16 138.468 L1350.16 124.394 L1347.04 124.394 L1347.04 121.084 L1350.16 121.084 L1350.16 113.723 L1354.44 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1389.86 132.982 L1389.86 135.065 L1370.28 135.065 Q1370.56 139.463 1372.92 141.778 Q1375.3 144.07 1379.54 144.07 Q1381.99 144.07 1384.28 143.468 Q1386.6 142.866 1388.87 141.662 L1388.87 145.69 Q1386.57 146.662 1384.17 147.172 Q1381.76 147.681 1379.28 147.681 Q1373.08 147.681 1369.44 144.07 Q1365.83 140.459 1365.83 134.301 Q1365.83 127.936 1369.26 124.209 Q1372.71 120.459 1378.54 120.459 Q1383.77 120.459 1386.81 123.838 Q1389.86 127.195 1389.86 132.982 M1385.6 131.732 Q1385.56 128.237 1383.63 126.153 Q1381.74 124.07 1378.59 124.07 Q1375.02 124.07 1372.87 126.084 Q1370.74 128.098 1370.42 131.755 L1385.6 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1431.57 132.982 L1431.57 135.065 L1411.99 135.065 Q1412.27 139.463 1414.63 141.778 Q1417.01 144.07 1421.25 144.07 Q1423.7 144.07 1426 143.468 Q1428.31 142.866 1430.58 141.662 L1430.58 145.69 Q1428.29 146.662 1425.88 147.172 Q1423.47 147.681 1421 147.681 Q1414.79 147.681 1411.16 144.07 Q1407.55 140.459 1407.55 134.301 Q1407.55 127.936 1410.97 124.209 Q1414.42 120.459 1420.25 120.459 Q1425.49 120.459 1428.52 123.838 Q1431.57 127.195 1431.57 132.982 M1427.31 131.732 Q1427.27 128.237 1425.35 126.153 Q1423.45 124.07 1420.3 124.07 Q1416.74 124.07 1414.58 126.084 Q1412.45 128.098 1412.13 131.755 L1427.31 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1451.06 125.065 Q1450.35 124.649 1449.49 124.463 Q1448.66 124.255 1447.64 124.255 Q1444.03 124.255 1442.08 126.616 Q1440.16 128.954 1440.16 133.352 L1440.16 147.01 L1435.88 147.01 L1435.88 121.084 L1440.16 121.084 L1440.16 125.112 Q1441.5 122.75 1443.66 121.616 Q1445.81 120.459 1448.89 120.459 Q1449.33 120.459 1449.86 120.528 Q1450.39 120.575 1451.04 120.69 L1451.06 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1469.72 125.065 Q1469 124.649 1468.15 124.463 Q1467.31 124.255 1466.3 124.255 Q1462.69 124.255 1460.74 126.616 Q1458.82 128.954 1458.82 133.352 L1458.82 147.01 L1454.54 147.01 L1454.54 121.084 L1458.82 121.084 L1458.82 125.112 Q1460.16 122.75 1462.31 121.616 Q1464.47 120.459 1467.55 120.459 Q1467.99 120.459 1468.52 120.528 Q1469.05 120.575 1469.7 120.69 L1469.72 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1483.19 124.07 Q1479.77 124.07 1477.78 126.755 Q1475.79 129.417 1475.79 134.07 Q1475.79 138.723 1477.75 141.408 Q1479.75 144.07 1483.19 144.07 Q1486.6 144.07 1488.59 141.385 Q1490.58 138.699 1490.58 134.07 Q1490.58 129.463 1488.59 126.778 Q1486.6 124.07 1483.19 124.07 M1483.19 120.459 Q1488.75 120.459 1491.92 124.07 Q1495.09 127.681 1495.09 134.07 Q1495.09 140.436 1491.92 144.07 Q1488.75 147.681 1483.19 147.681 Q1477.62 147.681 1474.44 144.07 Q1471.3 140.436 1471.3 134.07 Q1471.3 127.681 1474.44 124.07 Q1477.62 120.459 1483.19 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1514.58 125.065 Q1513.87 124.649 1513.01 124.463 Q1512.18 124.255 1511.16 124.255 Q1507.55 124.255 1505.6 126.616 Q1503.68 128.954 1503.68 133.352 L1503.68 147.01 L1499.4 147.01 L1499.4 121.084 L1503.68 121.084 L1503.68 125.112 Q1505.02 122.75 1507.18 121.616 Q1509.33 120.459 1512.41 120.459 Q1512.85 120.459 1513.38 120.528 Q1513.91 120.575 1514.56 120.69 L1514.58 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1544.35 111.038 Q1541.25 116.362 1539.74 121.57 Q1538.24 126.778 1538.24 132.125 Q1538.24 137.473 1539.74 142.727 Q1541.27 147.959 1544.35 153.26 L1540.65 153.26 Q1537.18 147.82 1535.44 142.565 Q1533.73 137.311 1533.73 132.125 Q1533.73 126.963 1535.44 121.732 Q1537.15 116.5 1540.65 111.038 L1544.35 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1553.68 130.505 L1553.68 143.167 L1561.18 143.167 Q1564.95 143.167 1566.76 141.616 Q1568.59 140.042 1568.59 136.824 Q1568.59 133.584 1566.76 132.056 Q1564.95 130.505 1561.18 130.505 L1553.68 130.505 M1553.68 116.292 L1553.68 126.709 L1560.6 126.709 Q1564.03 126.709 1565.69 125.436 Q1567.38 124.139 1567.38 121.5 Q1567.38 118.885 1565.69 117.588 Q1564.03 116.292 1560.6 116.292 L1553.68 116.292 M1549 112.45 L1560.95 112.45 Q1566.3 112.45 1569.19 114.672 Q1572.08 116.894 1572.08 120.991 Q1572.08 124.162 1570.6 126.037 Q1569.12 127.912 1566.25 128.375 Q1569.7 129.116 1571.6 131.477 Q1573.52 133.815 1573.52 137.334 Q1573.52 141.963 1570.37 144.486 Q1567.22 147.01 1561.41 147.01 L1549 147.01 L1549 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1600.16 132.982 L1600.16 135.065 L1580.58 135.065 Q1580.86 139.463 1583.22 141.778 Q1585.6 144.07 1589.84 144.07 Q1592.29 144.07 1594.58 143.468 Q1596.9 142.866 1599.17 141.662 L1599.17 145.69 Q1596.87 146.662 1594.47 147.172 Q1592.06 147.681 1589.58 147.681 Q1583.38 147.681 1579.74 144.07 Q1576.13 140.459 1576.13 134.301 Q1576.13 127.936 1579.56 124.209 Q1583.01 120.459 1588.84 120.459 Q1594.07 120.459 1597.11 123.838 Q1600.16 127.195 1600.16 132.982 M1595.9 131.732 Q1595.86 128.237 1593.93 126.153 Q1592.04 124.07 1588.89 124.07 Q1585.32 124.07 1583.17 126.084 Q1581.04 128.098 1580.72 131.755 L1595.9 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1608.84 113.723 L1608.84 121.084 L1617.61 121.084 L1617.61 124.394 L1608.84 124.394 L1608.84 138.468 Q1608.84 141.639 1609.7 142.542 Q1610.58 143.445 1613.24 143.445 L1617.61 143.445 L1617.61 147.01 L1613.24 147.01 Q1608.31 147.01 1606.43 145.181 Q1604.56 143.329 1604.56 138.468 L1604.56 124.394 L1601.43 124.394 L1601.43 121.084 L1604.56 121.084 L1604.56 113.723 L1608.84 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1633.86 133.977 Q1628.7 133.977 1626.71 135.158 Q1624.72 136.338 1624.72 139.186 Q1624.72 141.454 1626.2 142.797 Q1627.71 144.116 1630.28 144.116 Q1633.82 144.116 1635.95 141.616 Q1638.1 139.093 1638.1 134.926 L1638.1 133.977 L1633.86 133.977 M1642.36 132.218 L1642.36 147.01 L1638.1 147.01 L1638.1 143.074 Q1636.64 145.435 1634.47 146.57 Q1632.29 147.681 1629.14 147.681 Q1625.16 147.681 1622.8 145.459 Q1620.46 143.213 1620.46 139.463 Q1620.46 135.088 1623.38 132.866 Q1626.32 130.644 1632.13 130.644 L1638.1 130.644 L1638.1 130.227 Q1638.1 127.287 1636.16 125.69 Q1634.24 124.07 1630.74 124.07 Q1628.52 124.07 1626.41 124.602 Q1624.3 125.135 1622.36 126.199 L1622.36 122.264 Q1624.7 121.362 1626.9 120.922 Q1629.1 120.459 1631.18 120.459 Q1636.8 120.459 1639.58 123.375 Q1642.36 126.292 1642.36 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1651.69 116.292 L1651.69 129.278 L1657.57 129.278 Q1660.83 129.278 1662.61 127.588 Q1664.4 125.899 1664.4 122.774 Q1664.4 119.672 1662.61 117.982 Q1660.83 116.292 1657.57 116.292 L1651.69 116.292 M1647.01 112.45 L1657.57 112.45 Q1663.38 112.45 1666.34 115.088 Q1669.33 117.704 1669.33 122.774 Q1669.33 127.889 1666.34 130.505 Q1663.38 133.121 1657.57 133.121 L1651.69 133.121 L1651.69 147.01 L1647.01 147.01 L1647.01 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1687.98 125.065 Q1687.27 124.649 1686.41 124.463 Q1685.58 124.255 1684.56 124.255 Q1680.95 124.255 1679 126.616 Q1677.08 128.954 1677.08 133.352 L1677.08 147.01 L1672.8 147.01 L1672.8 121.084 L1677.08 121.084 L1677.08 125.112 Q1678.42 122.75 1680.58 121.616 Q1682.73 120.459 1685.81 120.459 Q1686.25 120.459 1686.78 120.528 Q1687.31 120.575 1687.96 120.69 L1687.98 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1692.45 121.084 L1696.71 121.084 L1696.71 147.01 L1692.45 147.01 L1692.45 121.084 M1692.45 110.991 L1696.71 110.991 L1696.71 116.385 L1692.45 116.385 L1692.45 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1721.36 126.061 Q1722.96 123.19 1725.18 121.825 Q1727.41 120.459 1730.42 120.459 Q1734.47 120.459 1736.67 123.306 Q1738.86 126.13 1738.86 131.361 L1738.86 147.01 L1734.58 147.01 L1734.58 131.5 Q1734.58 127.774 1733.26 125.968 Q1731.94 124.162 1729.23 124.162 Q1725.92 124.162 1724 126.362 Q1722.08 128.561 1722.08 132.357 L1722.08 147.01 L1717.8 147.01 L1717.8 131.5 Q1717.8 127.75 1716.48 125.968 Q1715.16 124.162 1712.41 124.162 Q1709.14 124.162 1707.22 126.385 Q1705.3 128.584 1705.3 132.357 L1705.3 147.01 L1701.02 147.01 L1701.02 121.084 L1705.3 121.084 L1705.3 125.112 Q1706.76 122.727 1708.79 121.593 Q1710.83 120.459 1713.63 120.459 Q1716.46 120.459 1718.42 121.894 Q1720.42 123.329 1721.36 126.061 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1765.51 132.982 L1765.51 135.065 L1745.92 135.065 Q1746.2 139.463 1748.56 141.778 Q1750.95 144.07 1755.18 144.07 Q1757.64 144.07 1759.93 143.468 Q1762.24 142.866 1764.51 141.662 L1764.51 145.69 Q1762.22 146.662 1759.81 147.172 Q1757.41 147.681 1754.93 147.681 Q1748.73 147.681 1745.09 144.07 Q1741.48 140.459 1741.48 134.301 Q1741.48 127.936 1744.91 124.209 Q1748.35 120.459 1754.19 120.459 Q1759.42 120.459 1762.45 123.838 Q1765.51 127.195 1765.51 132.982 M1761.25 131.732 Q1761.2 128.237 1759.28 126.153 Q1757.38 124.07 1754.23 124.07 Q1750.67 124.07 1748.52 126.084 Q1746.39 128.098 1746.06 131.755 L1761.25 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1769.3 111.038 L1773.01 111.038 Q1776.48 116.5 1778.19 121.732 Q1779.93 126.963 1779.93 132.125 Q1779.93 137.311 1778.19 142.565 Q1776.48 147.82 1773.01 153.26 L1769.3 153.26 Q1772.38 147.959 1773.89 142.727 Q1775.41 137.473 1775.41 132.125 Q1775.41 126.778 1773.89 121.57 Q1772.38 116.362 1769.3 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip150)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1073.38,190.21 1184.77,190.21 \n  \"/>\n<path clip-path=\"url(#clip150)\" d=\"M 0 0 M1219.17 177.536 L1212.83 194.735 L1225.53 194.735 L1219.17 177.536 M1216.53 172.93 L1221.83 172.93 L1235 207.49 L1230.14 207.49 L1226.99 198.624 L1211.41 198.624 L1208.27 207.49 L1203.33 207.49 L1216.53 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1258.08 194.55 Q1258.08 189.851 1256.14 187.189 Q1254.21 184.504 1250.83 184.504 Q1247.45 184.504 1245.51 187.189 Q1243.59 189.851 1243.59 194.55 Q1243.59 199.249 1245.51 201.934 Q1247.45 204.596 1250.83 204.596 Q1254.21 204.596 1256.14 201.934 Q1258.08 199.249 1258.08 194.55 M1243.59 185.499 Q1244.93 183.184 1246.97 182.073 Q1249.03 180.939 1251.88 180.939 Q1256.6 180.939 1259.54 184.689 Q1262.5 188.439 1262.5 194.55 Q1262.5 200.661 1259.54 204.411 Q1256.6 208.161 1251.88 208.161 Q1249.03 208.161 1246.97 207.05 Q1244.93 205.915 1243.59 203.601 L1243.59 207.49 L1239.31 207.49 L1239.31 171.471 L1243.59 171.471 L1243.59 185.499 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1283.5 182.328 L1283.5 186.355 Q1281.69 185.429 1279.75 184.967 Q1277.8 184.504 1275.72 184.504 Q1272.55 184.504 1270.95 185.476 Q1269.38 186.448 1269.38 188.392 Q1269.38 189.874 1270.51 190.73 Q1271.64 191.564 1275.07 192.328 L1276.53 192.652 Q1281.07 193.624 1282.96 195.406 Q1284.89 197.166 1284.89 200.337 Q1284.89 203.948 1282.01 206.054 Q1279.17 208.161 1274.17 208.161 Q1272.08 208.161 1269.82 207.744 Q1267.57 207.351 1265.07 206.54 L1265.07 202.142 Q1267.43 203.369 1269.72 203.994 Q1272.01 204.596 1274.26 204.596 Q1277.27 204.596 1278.89 203.578 Q1280.51 202.536 1280.51 200.661 Q1280.51 198.925 1279.33 197.999 Q1278.17 197.073 1274.21 196.216 L1272.73 195.869 Q1268.77 195.036 1267.01 193.323 Q1265.26 191.587 1265.26 188.578 Q1265.26 184.92 1267.85 182.93 Q1270.44 180.939 1275.21 180.939 Q1277.57 180.939 1279.65 181.286 Q1281.74 181.633 1283.5 182.328 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1299.4 184.55 Q1295.97 184.55 1293.98 187.235 Q1291.99 189.897 1291.99 194.55 Q1291.99 199.203 1293.96 201.888 Q1295.95 204.55 1299.4 204.55 Q1302.8 204.55 1304.79 201.865 Q1306.78 199.179 1306.78 194.55 Q1306.78 189.943 1304.79 187.258 Q1302.8 184.55 1299.4 184.55 M1299.4 180.939 Q1304.95 180.939 1308.13 184.55 Q1311.3 188.161 1311.3 194.55 Q1311.3 200.916 1308.13 204.55 Q1304.95 208.161 1299.4 208.161 Q1293.82 208.161 1290.65 204.55 Q1287.5 200.916 1287.5 194.55 Q1287.5 188.161 1290.65 184.55 Q1293.82 180.939 1299.4 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1315.76 171.471 L1320.02 171.471 L1320.02 207.49 L1315.76 207.49 L1315.76 171.471 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1324.05 197.258 L1324.05 181.564 L1328.31 181.564 L1328.31 197.096 Q1328.31 200.777 1329.75 202.628 Q1331.18 204.457 1334.05 204.457 Q1337.5 204.457 1339.49 202.258 Q1341.51 200.059 1341.51 196.263 L1341.51 181.564 L1345.76 181.564 L1345.76 207.49 L1341.51 207.49 L1341.51 203.508 Q1339.95 205.869 1337.89 207.027 Q1335.86 208.161 1333.15 208.161 Q1328.68 208.161 1326.37 205.383 Q1324.05 202.605 1324.05 197.258 M1334.77 180.939 L1334.77 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1354.44 174.203 L1354.44 181.564 L1363.22 181.564 L1363.22 184.874 L1354.44 184.874 L1354.44 198.948 Q1354.44 202.119 1355.3 203.022 Q1356.18 203.925 1358.84 203.925 L1363.22 203.925 L1363.22 207.49 L1358.84 207.49 Q1353.91 207.49 1352.04 205.661 Q1350.16 203.809 1350.16 198.948 L1350.16 184.874 L1347.04 184.874 L1347.04 181.564 L1350.16 181.564 L1350.16 174.203 L1354.44 174.203 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1389.86 193.462 L1389.86 195.545 L1370.28 195.545 Q1370.56 199.943 1372.92 202.258 Q1375.3 204.55 1379.54 204.55 Q1381.99 204.55 1384.28 203.948 Q1386.6 203.346 1388.87 202.142 L1388.87 206.17 Q1386.57 207.142 1384.17 207.652 Q1381.76 208.161 1379.28 208.161 Q1373.08 208.161 1369.44 204.55 Q1365.83 200.939 1365.83 194.781 Q1365.83 188.416 1369.26 184.689 Q1372.71 180.939 1378.54 180.939 Q1383.77 180.939 1386.81 184.318 Q1389.86 187.675 1389.86 193.462 M1385.6 192.212 Q1385.56 188.717 1383.63 186.633 Q1381.74 184.55 1378.59 184.55 Q1375.02 184.55 1372.87 186.564 Q1370.74 188.578 1370.42 192.235 L1385.6 192.212 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1431.57 193.462 L1431.57 195.545 L1411.99 195.545 Q1412.27 199.943 1414.63 202.258 Q1417.01 204.55 1421.25 204.55 Q1423.7 204.55 1426 203.948 Q1428.31 203.346 1430.58 202.142 L1430.58 206.17 Q1428.29 207.142 1425.88 207.652 Q1423.47 208.161 1421 208.161 Q1414.79 208.161 1411.16 204.55 Q1407.55 200.939 1407.55 194.781 Q1407.55 188.416 1410.97 184.689 Q1414.42 180.939 1420.25 180.939 Q1425.49 180.939 1428.52 184.318 Q1431.57 187.675 1431.57 193.462 M1427.31 192.212 Q1427.27 188.717 1425.35 186.633 Q1423.45 184.55 1420.3 184.55 Q1416.74 184.55 1414.58 186.564 Q1412.45 188.578 1412.13 192.235 L1427.31 192.212 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1451.06 185.545 Q1450.35 185.129 1449.49 184.943 Q1448.66 184.735 1447.64 184.735 Q1444.03 184.735 1442.08 187.096 Q1440.16 189.434 1440.16 193.832 L1440.16 207.49 L1435.88 207.49 L1435.88 181.564 L1440.16 181.564 L1440.16 185.592 Q1441.5 183.23 1443.66 182.096 Q1445.81 180.939 1448.89 180.939 Q1449.33 180.939 1449.86 181.008 Q1450.39 181.055 1451.04 181.17 L1451.06 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1469.72 185.545 Q1469 185.129 1468.15 184.943 Q1467.31 184.735 1466.3 184.735 Q1462.69 184.735 1460.74 187.096 Q1458.82 189.434 1458.82 193.832 L1458.82 207.49 L1454.54 207.49 L1454.54 181.564 L1458.82 181.564 L1458.82 185.592 Q1460.16 183.23 1462.31 182.096 Q1464.47 180.939 1467.55 180.939 Q1467.99 180.939 1468.52 181.008 Q1469.05 181.055 1469.7 181.17 L1469.72 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1483.19 184.55 Q1479.77 184.55 1477.78 187.235 Q1475.79 189.897 1475.79 194.55 Q1475.79 199.203 1477.75 201.888 Q1479.75 204.55 1483.19 204.55 Q1486.6 204.55 1488.59 201.865 Q1490.58 199.179 1490.58 194.55 Q1490.58 189.943 1488.59 187.258 Q1486.6 184.55 1483.19 184.55 M1483.19 180.939 Q1488.75 180.939 1491.92 184.55 Q1495.09 188.161 1495.09 194.55 Q1495.09 200.916 1491.92 204.55 Q1488.75 208.161 1483.19 208.161 Q1477.62 208.161 1474.44 204.55 Q1471.3 200.916 1471.3 194.55 Q1471.3 188.161 1474.44 184.55 Q1477.62 180.939 1483.19 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1514.58 185.545 Q1513.87 185.129 1513.01 184.943 Q1512.18 184.735 1511.16 184.735 Q1507.55 184.735 1505.6 187.096 Q1503.68 189.434 1503.68 193.832 L1503.68 207.49 L1499.4 207.49 L1499.4 181.564 L1503.68 181.564 L1503.68 185.592 Q1505.02 183.23 1507.18 182.096 Q1509.33 180.939 1512.41 180.939 Q1512.85 180.939 1513.38 181.008 Q1513.91 181.055 1514.56 181.17 L1514.58 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1544.35 171.518 Q1541.25 176.842 1539.74 182.05 Q1538.24 187.258 1538.24 192.605 Q1538.24 197.953 1539.74 203.207 Q1541.27 208.439 1544.35 213.74 L1540.65 213.74 Q1537.18 208.3 1535.44 203.045 Q1533.73 197.791 1533.73 192.605 Q1533.73 187.443 1535.44 182.212 Q1537.15 176.98 1540.65 171.518 L1544.35 171.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1572.57 202.559 L1572.57 193.277 L1564.93 193.277 L1564.93 189.434 L1577.2 189.434 L1577.2 204.272 Q1574.49 206.193 1571.23 207.189 Q1567.96 208.161 1564.26 208.161 Q1556.16 208.161 1551.57 203.439 Q1547.01 198.693 1547.01 190.244 Q1547.01 181.772 1551.57 177.05 Q1556.16 172.305 1564.26 172.305 Q1567.64 172.305 1570.67 173.138 Q1573.73 173.971 1576.3 175.592 L1576.3 180.568 Q1573.7 178.369 1570.79 177.258 Q1567.87 176.147 1564.65 176.147 Q1558.31 176.147 1555.12 179.689 Q1551.94 183.23 1551.94 190.244 Q1551.94 197.235 1555.12 200.777 Q1558.31 204.318 1564.65 204.318 Q1567.13 204.318 1569.07 203.902 Q1571.02 203.462 1572.57 202.559 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1593.45 194.457 Q1588.29 194.457 1586.3 195.638 Q1584.3 196.818 1584.3 199.666 Q1584.3 201.934 1585.79 203.277 Q1587.29 204.596 1589.86 204.596 Q1593.4 204.596 1595.53 202.096 Q1597.68 199.573 1597.68 195.406 L1597.68 194.457 L1593.45 194.457 M1601.94 192.698 L1601.94 207.49 L1597.68 207.49 L1597.68 203.554 Q1596.23 205.915 1594.05 207.05 Q1591.87 208.161 1588.73 208.161 Q1584.74 208.161 1582.38 205.939 Q1580.05 203.693 1580.05 199.943 Q1580.05 195.568 1582.96 193.346 Q1585.9 191.124 1591.71 191.124 L1597.68 191.124 L1597.68 190.707 Q1597.68 187.767 1595.74 186.17 Q1593.82 184.55 1590.32 184.55 Q1588.1 184.55 1585.99 185.082 Q1583.89 185.615 1581.94 186.679 L1581.94 182.744 Q1584.28 181.842 1586.48 181.402 Q1588.68 180.939 1590.76 180.939 Q1596.39 180.939 1599.17 183.855 Q1601.94 186.772 1601.94 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1626.6 186.541 Q1628.19 183.67 1630.42 182.305 Q1632.64 180.939 1635.65 180.939 Q1639.7 180.939 1641.9 183.786 Q1644.1 186.61 1644.1 191.841 L1644.1 207.49 L1639.81 207.49 L1639.81 191.98 Q1639.81 188.254 1638.49 186.448 Q1637.17 184.642 1634.47 184.642 Q1631.16 184.642 1629.24 186.842 Q1627.31 189.041 1627.31 192.837 L1627.31 207.49 L1623.03 207.49 L1623.03 191.98 Q1623.03 188.23 1621.71 186.448 Q1620.39 184.642 1617.64 184.642 Q1614.37 184.642 1612.45 186.865 Q1610.53 189.064 1610.53 192.837 L1610.53 207.49 L1606.25 207.49 L1606.25 181.564 L1610.53 181.564 L1610.53 185.592 Q1611.99 183.207 1614.03 182.073 Q1616.06 180.939 1618.86 180.939 Q1621.69 180.939 1623.66 182.374 Q1625.65 183.809 1626.6 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1668.75 186.541 Q1670.35 183.67 1672.57 182.305 Q1674.79 180.939 1677.8 180.939 Q1681.85 180.939 1684.05 183.786 Q1686.25 186.61 1686.25 191.841 L1686.25 207.49 L1681.97 207.49 L1681.97 191.98 Q1681.97 188.254 1680.65 186.448 Q1679.33 184.642 1676.62 184.642 Q1673.31 184.642 1671.39 186.842 Q1669.47 189.041 1669.47 192.837 L1669.47 207.49 L1665.18 207.49 L1665.18 191.98 Q1665.18 188.23 1663.86 186.448 Q1662.55 184.642 1659.79 184.642 Q1656.53 184.642 1654.61 186.865 Q1652.68 189.064 1652.68 192.837 L1652.68 207.49 L1648.4 207.49 L1648.4 181.564 L1652.68 181.564 L1652.68 185.592 Q1654.14 183.207 1656.18 182.073 Q1658.22 180.939 1661.02 180.939 Q1663.84 180.939 1665.81 182.374 Q1667.8 183.809 1668.75 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1702.5 194.457 Q1697.34 194.457 1695.35 195.638 Q1693.36 196.818 1693.36 199.666 Q1693.36 201.934 1694.84 203.277 Q1696.34 204.596 1698.91 204.596 Q1702.45 204.596 1704.58 202.096 Q1706.73 199.573 1706.73 195.406 L1706.73 194.457 L1702.5 194.457 M1710.99 192.698 L1710.99 207.49 L1706.73 207.49 L1706.73 203.554 Q1705.28 205.915 1703.1 207.05 Q1700.92 208.161 1697.78 208.161 Q1693.79 208.161 1691.43 205.939 Q1689.1 203.693 1689.1 199.943 Q1689.1 195.568 1692.01 193.346 Q1694.95 191.124 1700.76 191.124 L1706.73 191.124 L1706.73 190.707 Q1706.73 187.767 1704.79 186.17 Q1702.87 184.55 1699.37 184.55 Q1697.15 184.55 1695.04 185.082 Q1692.94 185.615 1690.99 186.679 L1690.99 182.744 Q1693.33 181.842 1695.53 181.402 Q1697.73 180.939 1699.81 180.939 Q1705.44 180.939 1708.22 183.855 Q1710.99 186.772 1710.99 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip150)\" d=\"M 0 0 M1714.79 171.518 L1718.49 171.518 Q1721.97 176.98 1723.68 182.212 Q1725.42 187.443 1725.42 192.605 Q1725.42 197.791 1723.68 203.045 Q1721.97 208.3 1718.49 213.74 L1714.79 213.74 Q1717.87 208.439 1719.37 203.207 Q1720.9 197.953 1720.9 192.605 Q1720.9 187.258 1719.37 182.05 Q1717.87 176.842 1714.79 171.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 40
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "source": [
    "p=6; q=60\n",
    "\n",
    "plot(0:0.01:1, betad, label=\"Beta($p,$q)\")"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip190\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip190)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip191\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip190)\" d=\"\nM166.752 707.408 L1872.76 707.408 L1872.76 47.2441 L166.752 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip192\">\n    <rect x=\"166\" y=\"47\" width=\"1707\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.035,707.408 215.035,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  617.394,707.408 617.394,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1019.75,707.408 1019.75,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1422.11,707.408 1422.11,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1824.47,707.408 1824.47,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.035,707.408 215.035,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  617.394,707.408 617.394,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1019.75,707.408 1019.75,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1422.11,707.408 1422.11,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1824.47,707.408 1824.47,699.486 \n  \"/>\n<path clip-path=\"url(#clip190)\" d=\"M 0 0 M183.044 732.759 Q179.433 732.759 177.605 736.323 Q175.799 739.865 175.799 746.995 Q175.799 754.101 177.605 757.666 Q179.433 761.207 183.044 761.207 Q186.679 761.207 188.484 757.666 Q190.313 754.101 190.313 746.995 Q190.313 739.865 188.484 736.323 Q186.679 732.759 183.044 732.759 M183.044 729.055 Q188.855 729.055 191.91 733.661 Q194.989 738.245 194.989 746.995 Q194.989 755.721 191.91 760.328 Q188.855 764.911 183.044 764.911 Q177.234 764.911 174.156 760.328 Q171.1 755.721 171.1 746.995 Q171.1 738.245 174.156 733.661 Q177.234 729.055 183.044 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M200.058 758.36 L204.942 758.36 L204.942 764.24 L200.058 764.24 L200.058 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M220.012 732.759 Q216.401 732.759 214.572 736.323 Q212.766 739.865 212.766 746.995 Q212.766 754.101 214.572 757.666 Q216.401 761.207 220.012 761.207 Q223.646 761.207 225.452 757.666 Q227.28 754.101 227.28 746.995 Q227.28 739.865 225.452 736.323 Q223.646 732.759 220.012 732.759 M220.012 729.055 Q225.822 729.055 228.878 733.661 Q231.956 738.245 231.956 746.995 Q231.956 755.721 228.878 760.328 Q225.822 764.911 220.012 764.911 Q214.202 764.911 211.123 760.328 Q208.067 755.721 208.067 746.995 Q208.067 738.245 211.123 733.661 Q214.202 729.055 220.012 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M247.026 732.759 Q243.414 732.759 241.586 736.323 Q239.78 739.865 239.78 746.995 Q239.78 754.101 241.586 757.666 Q243.414 761.207 247.026 761.207 Q250.66 761.207 252.465 757.666 Q254.294 754.101 254.294 746.995 Q254.294 739.865 252.465 736.323 Q250.66 732.759 247.026 732.759 M247.026 729.055 Q252.836 729.055 255.891 733.661 Q258.97 738.245 258.97 746.995 Q258.97 755.721 255.891 760.328 Q252.836 764.911 247.026 764.911 Q241.215 764.911 238.137 760.328 Q235.081 755.721 235.081 746.995 Q235.081 738.245 238.137 733.661 Q241.215 729.055 247.026 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M586.7 732.759 Q583.089 732.759 581.26 736.323 Q579.455 739.865 579.455 746.995 Q579.455 754.101 581.26 757.666 Q583.089 761.207 586.7 761.207 Q590.334 761.207 592.14 757.666 Q593.969 754.101 593.969 746.995 Q593.969 739.865 592.14 736.323 Q590.334 732.759 586.7 732.759 M586.7 729.055 Q592.51 729.055 595.566 733.661 Q598.645 738.245 598.645 746.995 Q598.645 755.721 595.566 760.328 Q592.51 764.911 586.7 764.911 Q580.89 764.911 577.811 760.328 Q574.756 755.721 574.756 746.995 Q574.756 738.245 577.811 733.661 Q580.89 729.055 586.7 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M603.714 758.36 L608.598 758.36 L608.598 764.24 L603.714 764.24 L603.714 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M617.695 760.305 L634.015 760.305 L634.015 764.24 L612.07 764.24 L612.07 760.305 Q614.732 757.55 619.316 752.92 Q623.922 748.268 625.103 746.925 Q627.348 744.402 628.228 742.666 Q629.13 740.907 629.13 739.217 Q629.13 736.462 627.186 734.726 Q625.265 732.99 622.163 732.99 Q619.964 732.99 617.51 733.754 Q615.08 734.518 612.302 736.069 L612.302 731.347 Q615.126 730.212 617.58 729.634 Q620.033 729.055 622.07 729.055 Q627.441 729.055 630.635 731.74 Q633.83 734.425 633.83 738.916 Q633.83 741.046 633.019 742.967 Q632.232 744.865 630.126 747.458 Q629.547 748.129 626.445 751.346 Q623.343 754.541 617.695 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M639.13 729.68 L657.487 729.68 L657.487 733.615 L643.413 733.615 L643.413 742.087 Q644.431 741.74 645.45 741.578 Q646.468 741.393 647.487 741.393 Q653.274 741.393 656.653 744.564 Q660.033 747.735 660.033 753.152 Q660.033 758.731 656.561 761.832 Q653.089 764.911 646.769 764.911 Q644.593 764.911 642.325 764.541 Q640.08 764.17 637.672 763.43 L637.672 758.731 Q639.755 759.865 641.978 760.42 Q644.2 760.976 646.677 760.976 Q650.681 760.976 653.019 758.87 Q655.357 756.763 655.357 753.152 Q655.357 749.541 653.019 747.434 Q650.681 745.328 646.677 745.328 Q644.802 745.328 642.927 745.745 Q641.075 746.161 639.13 747.041 L639.13 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M988.261 732.759 Q984.65 732.759 982.821 736.323 Q981.016 739.865 981.016 746.995 Q981.016 754.101 982.821 757.666 Q984.65 761.207 988.261 761.207 Q991.895 761.207 993.701 757.666 Q995.529 754.101 995.529 746.995 Q995.529 739.865 993.701 736.323 Q991.895 732.759 988.261 732.759 M988.261 729.055 Q994.071 729.055 997.127 733.661 Q1000.21 738.245 1000.21 746.995 Q1000.21 755.721 997.127 760.328 Q994.071 764.911 988.261 764.911 Q982.451 764.911 979.372 760.328 Q976.317 755.721 976.317 746.995 Q976.317 738.245 979.372 733.661 Q982.451 729.055 988.261 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1005.27 758.36 L1010.16 758.36 L1010.16 764.24 L1005.27 764.24 L1005.27 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1015.27 729.68 L1033.63 729.68 L1033.63 733.615 L1019.56 733.615 L1019.56 742.087 Q1020.58 741.74 1021.59 741.578 Q1022.61 741.393 1023.63 741.393 Q1029.42 741.393 1032.8 744.564 Q1036.18 747.735 1036.18 753.152 Q1036.18 758.731 1032.71 761.832 Q1029.23 764.911 1022.91 764.911 Q1020.74 764.911 1018.47 764.541 Q1016.22 764.17 1013.82 763.43 L1013.82 758.731 Q1015.9 759.865 1018.12 760.42 Q1020.34 760.976 1022.82 760.976 Q1026.83 760.976 1029.16 758.87 Q1031.5 756.763 1031.5 753.152 Q1031.5 749.541 1029.16 747.434 Q1026.83 745.328 1022.82 745.328 Q1020.95 745.328 1019.07 745.745 Q1017.22 746.161 1015.27 747.041 L1015.27 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1051.25 732.759 Q1047.64 732.759 1045.81 736.323 Q1044 739.865 1044 746.995 Q1044 754.101 1045.81 757.666 Q1047.64 761.207 1051.25 761.207 Q1054.88 761.207 1056.69 757.666 Q1058.52 754.101 1058.52 746.995 Q1058.52 739.865 1056.69 736.323 Q1054.88 732.759 1051.25 732.759 M1051.25 729.055 Q1057.06 729.055 1060.11 733.661 Q1063.19 738.245 1063.19 746.995 Q1063.19 755.721 1060.11 760.328 Q1057.06 764.911 1051.25 764.911 Q1045.44 764.911 1042.36 760.328 Q1039.3 755.721 1039.3 746.995 Q1039.3 738.245 1042.36 733.661 Q1045.44 729.055 1051.25 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1391.07 732.759 Q1387.46 732.759 1385.63 736.323 Q1383.83 739.865 1383.83 746.995 Q1383.83 754.101 1385.63 757.666 Q1387.46 761.207 1391.07 761.207 Q1394.71 761.207 1396.51 757.666 Q1398.34 754.101 1398.34 746.995 Q1398.34 739.865 1396.51 736.323 Q1394.71 732.759 1391.07 732.759 M1391.07 729.055 Q1396.88 729.055 1399.94 733.661 Q1403.02 738.245 1403.02 746.995 Q1403.02 755.721 1399.94 760.328 Q1396.88 764.911 1391.07 764.911 Q1385.26 764.911 1382.18 760.328 Q1379.13 755.721 1379.13 746.995 Q1379.13 738.245 1382.18 733.661 Q1385.26 729.055 1391.07 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1408.09 758.36 L1412.97 758.36 L1412.97 764.24 L1408.09 764.24 L1408.09 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1416.86 729.68 L1439.08 729.68 L1439.08 731.671 L1426.53 764.24 L1421.65 764.24 L1433.46 733.615 L1416.86 733.615 L1416.86 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1444.2 729.68 L1462.55 729.68 L1462.55 733.615 L1448.48 733.615 L1448.48 742.087 Q1449.5 741.74 1450.52 741.578 Q1451.53 741.393 1452.55 741.393 Q1458.34 741.393 1461.72 744.564 Q1465.1 747.735 1465.1 753.152 Q1465.1 758.731 1461.63 761.832 Q1458.15 764.911 1451.84 764.911 Q1449.66 764.911 1447.39 764.541 Q1445.15 764.17 1442.74 763.43 L1442.74 758.731 Q1444.82 759.865 1447.04 760.42 Q1449.27 760.976 1451.74 760.976 Q1455.75 760.976 1458.09 758.87 Q1460.42 756.763 1460.42 753.152 Q1460.42 749.541 1458.09 747.434 Q1455.75 745.328 1451.74 745.328 Q1449.87 745.328 1447.99 745.745 Q1446.14 746.161 1444.2 747.041 L1444.2 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1782.86 760.305 L1790.5 760.305 L1790.5 733.939 L1782.19 735.606 L1782.19 731.347 L1790.46 729.68 L1795.13 729.68 L1795.13 760.305 L1802.77 760.305 L1802.77 764.24 L1782.86 764.24 L1782.86 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1807.84 758.36 L1812.73 758.36 L1812.73 764.24 L1807.84 764.24 L1807.84 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1827.79 732.759 Q1824.18 732.759 1822.35 736.323 Q1820.55 739.865 1820.55 746.995 Q1820.55 754.101 1822.35 757.666 Q1824.18 761.207 1827.79 761.207 Q1831.43 761.207 1833.23 757.666 Q1835.06 754.101 1835.06 746.995 Q1835.06 739.865 1833.23 736.323 Q1831.43 732.759 1827.79 732.759 M1827.79 729.055 Q1833.6 729.055 1836.66 733.661 Q1839.74 738.245 1839.74 746.995 Q1839.74 755.721 1836.66 760.328 Q1833.6 764.911 1827.79 764.911 Q1821.98 764.911 1818.91 760.328 Q1815.85 755.721 1815.85 746.995 Q1815.85 738.245 1818.91 733.661 Q1821.98 729.055 1827.79 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1854.81 732.759 Q1851.2 732.759 1849.37 736.323 Q1847.56 739.865 1847.56 746.995 Q1847.56 754.101 1849.37 757.666 Q1851.2 761.207 1854.81 761.207 Q1858.44 761.207 1860.25 757.666 Q1862.08 754.101 1862.08 746.995 Q1862.08 739.865 1860.25 736.323 Q1858.44 732.759 1854.81 732.759 M1854.81 729.055 Q1860.62 729.055 1863.67 733.661 Q1866.75 738.245 1866.75 746.995 Q1866.75 755.721 1863.67 760.328 Q1860.62 764.911 1854.81 764.911 Q1849 764.911 1845.92 760.328 Q1842.86 755.721 1842.86 746.995 Q1842.86 738.245 1845.92 733.661 Q1849 729.055 1854.81 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,688.724 1872.76,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,557.435 1872.76,557.435 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,426.146 1872.76,426.146 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,294.857 1872.76,294.857 \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,163.568 1872.76,163.568 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,707.408 166.752,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,688.724 187.224,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,557.435 187.224,557.435 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,426.146 187.224,426.146 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,294.857 187.224,294.857 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,163.568 187.224,163.568 \n  \"/>\n<path clip-path=\"url(#clip190)\" d=\"M 0 0 M89.0401 674.523 Q85.429 674.523 83.6003 678.087 Q81.7948 681.629 81.7948 688.759 Q81.7948 695.865 83.6003 699.43 Q85.429 702.972 89.0401 702.972 Q92.6743 702.972 94.4799 699.43 Q96.3086 695.865 96.3086 688.759 Q96.3086 681.629 94.4799 678.087 Q92.6743 674.523 89.0401 674.523 M89.0401 670.819 Q94.8502 670.819 97.9058 675.425 Q100.984 680.009 100.984 688.759 Q100.984 697.486 97.9058 702.092 Q94.8502 706.675 89.0401 706.675 Q83.2299 706.675 80.1512 702.092 Q77.0957 697.486 77.0957 688.759 Q77.0957 680.009 80.1512 675.425 Q83.2299 670.819 89.0401 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M106.054 700.124 L110.938 700.124 L110.938 706.004 L106.054 706.004 L106.054 700.124 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M126.007 674.523 Q122.396 674.523 120.568 678.087 Q118.762 681.629 118.762 688.759 Q118.762 695.865 120.568 699.43 Q122.396 702.972 126.007 702.972 Q129.642 702.972 131.447 699.43 Q133.276 695.865 133.276 688.759 Q133.276 681.629 131.447 678.087 Q129.642 674.523 126.007 674.523 M126.007 670.819 Q131.818 670.819 134.873 675.425 Q137.952 680.009 137.952 688.759 Q137.952 697.486 134.873 702.092 Q131.818 706.675 126.007 706.675 Q120.197 706.675 117.119 702.092 Q114.063 697.486 114.063 688.759 Q114.063 680.009 117.119 675.425 Q120.197 670.819 126.007 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M85.6605 570.78 L101.98 570.78 L101.98 574.715 L80.0355 574.715 L80.0355 570.78 Q82.6975 568.025 87.2808 563.396 Q91.8873 558.743 93.0678 557.4 Q95.3132 554.877 96.1928 553.141 Q97.0956 551.382 97.0956 549.692 Q97.0956 546.937 95.1512 545.201 Q93.2299 543.465 90.128 543.465 Q87.929 543.465 85.4753 544.229 Q83.0447 544.993 80.267 546.544 L80.267 541.822 Q83.091 540.687 85.5447 540.109 Q87.9984 539.53 90.0354 539.53 Q95.4058 539.53 98.6002 542.215 Q101.795 544.9 101.795 549.391 Q101.795 551.521 100.984 553.442 Q100.197 555.34 98.091 557.933 Q97.5123 558.604 94.4104 561.821 Q91.3086 565.016 85.6605 570.78 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M107.049 568.835 L111.933 568.835 L111.933 574.715 L107.049 574.715 L107.049 568.835 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M117.049 540.155 L135.406 540.155 L135.406 544.09 L121.332 544.09 L121.332 552.562 Q122.35 552.215 123.369 552.053 Q124.387 551.868 125.406 551.868 Q131.193 551.868 134.572 555.039 Q137.952 558.21 137.952 563.627 Q137.952 569.206 134.48 572.307 Q131.007 575.386 124.688 575.386 Q122.512 575.386 120.244 575.016 Q117.998 574.645 115.591 573.905 L115.591 569.206 Q117.674 570.34 119.896 570.895 Q122.119 571.451 124.595 571.451 Q128.6 571.451 130.938 569.345 Q133.276 567.238 133.276 563.627 Q133.276 560.016 130.938 557.909 Q128.6 555.803 124.595 555.803 Q122.72 555.803 120.845 556.22 Q118.994 556.636 117.049 557.516 L117.049 540.155 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M80.0818 408.866 L98.4382 408.866 L98.4382 412.801 L84.3642 412.801 L84.3642 421.273 Q85.3827 420.926 86.4012 420.764 Q87.4197 420.579 88.4382 420.579 Q94.2252 420.579 97.6049 423.75 Q100.984 426.921 100.984 432.338 Q100.984 437.917 97.5123 441.018 Q94.0401 444.097 87.7206 444.097 Q85.5447 444.097 83.2762 443.727 Q81.0309 443.356 78.6235 442.616 L78.6235 437.917 Q80.7068 439.051 82.929 439.606 Q85.1512 440.162 87.6281 440.162 Q91.6327 440.162 93.9706 438.055 Q96.3086 435.949 96.3086 432.338 Q96.3086 428.727 93.9706 426.62 Q91.6327 424.514 87.6281 424.514 Q85.7531 424.514 83.8781 424.931 Q82.0262 425.347 80.0818 426.227 L80.0818 408.866 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M106.054 437.546 L110.938 437.546 L110.938 443.426 L106.054 443.426 L106.054 437.546 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M126.007 411.944 Q122.396 411.944 120.568 415.509 Q118.762 419.051 118.762 426.181 Q118.762 433.287 120.568 436.852 Q122.396 440.393 126.007 440.393 Q129.642 440.393 131.447 436.852 Q133.276 433.287 133.276 426.181 Q133.276 419.051 131.447 415.509 Q129.642 411.944 126.007 411.944 M126.007 408.241 Q131.818 408.241 134.873 412.847 Q137.952 417.431 137.952 426.181 Q137.952 434.907 134.873 439.514 Q131.818 444.097 126.007 444.097 Q120.197 444.097 117.119 439.514 Q114.063 434.907 114.063 426.181 Q114.063 417.431 117.119 412.847 Q120.197 408.241 126.007 408.241 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M79.7577 277.577 L101.98 277.577 L101.98 279.567 L89.4336 312.137 L84.5494 312.137 L96.3549 281.512 L79.7577 281.512 L79.7577 277.577 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M107.049 306.257 L111.933 306.257 L111.933 312.137 L107.049 312.137 L107.049 306.257 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M117.049 277.577 L135.406 277.577 L135.406 281.512 L121.332 281.512 L121.332 289.984 Q122.35 289.637 123.369 289.475 Q124.387 289.29 125.406 289.29 Q131.193 289.29 134.572 292.461 Q137.952 295.632 137.952 301.049 Q137.952 306.627 134.48 309.729 Q131.007 312.808 124.688 312.808 Q122.512 312.808 120.244 312.438 Q117.998 312.067 115.591 311.327 L115.591 306.627 Q117.674 307.762 119.896 308.317 Q122.119 308.873 124.595 308.873 Q128.6 308.873 130.938 306.766 Q133.276 304.66 133.276 301.049 Q133.276 297.438 130.938 295.331 Q128.6 293.225 124.595 293.225 Q122.72 293.225 120.845 293.641 Q118.994 294.058 117.049 294.938 L117.049 277.577 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M54.0634 176.912 L61.7023 176.912 L61.7023 150.547 L53.3921 152.213 L53.3921 147.954 L61.656 146.288 L66.3319 146.288 L66.3319 176.912 L73.9707 176.912 L73.9707 180.848 L54.0634 180.848 L54.0634 176.912 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M89.0401 149.366 Q85.429 149.366 83.6003 152.931 Q81.7948 156.473 81.7948 163.602 Q81.7948 170.709 83.6003 174.274 Q85.429 177.815 89.0401 177.815 Q92.6743 177.815 94.4799 174.274 Q96.3086 170.709 96.3086 163.602 Q96.3086 156.473 94.4799 152.931 Q92.6743 149.366 89.0401 149.366 M89.0401 145.663 Q94.8502 145.663 97.9058 150.269 Q100.984 154.852 100.984 163.602 Q100.984 172.329 97.9058 176.936 Q94.8502 181.519 89.0401 181.519 Q83.2299 181.519 80.1512 176.936 Q77.0957 172.329 77.0957 163.602 Q77.0957 154.852 80.1512 150.269 Q83.2299 145.663 89.0401 145.663 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M106.054 174.968 L110.938 174.968 L110.938 180.848 L106.054 180.848 L106.054 174.968 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M126.007 149.366 Q122.396 149.366 120.568 152.931 Q118.762 156.473 118.762 163.602 Q118.762 170.709 120.568 174.274 Q122.396 177.815 126.007 177.815 Q129.642 177.815 131.447 174.274 Q133.276 170.709 133.276 163.602 Q133.276 156.473 131.447 152.931 Q129.642 149.366 126.007 149.366 M126.007 145.663 Q131.818 145.663 134.873 150.269 Q137.952 154.852 137.952 163.602 Q137.952 172.329 134.873 176.936 Q131.818 181.519 126.007 181.519 Q120.197 181.519 117.119 176.936 Q114.063 172.329 114.063 163.602 Q114.063 154.852 117.119 150.269 Q120.197 145.663 126.007 145.663 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip192)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.035,688.724 231.129,687.286 247.224,663.437 263.318,583.878 279.413,448.997 295.507,294.306 311.601,163.053 327.696,84.2213 343.79,65.928 359.884,99.7871 \n  375.979,169.061 392.073,255.824 408.168,345.326 424.262,427.648 440.356,497.535 456.451,553.334 472.545,595.722 488.639,626.599 504.734,648.286 520.828,663.032 \n  536.923,672.77 553.017,679.03 569.111,682.955 585.206,685.359 601.3,686.799 617.394,687.643 633.489,688.128 649.583,688.402 665.678,688.553 681.772,688.635 \n  697.866,688.678 713.961,688.701 730.055,688.713 746.149,688.718 762.244,688.721 778.338,688.723 794.433,688.723 810.527,688.724 826.621,688.724 842.716,688.724 \n  858.81,688.724 874.904,688.724 890.999,688.724 907.093,688.724 923.188,688.724 939.282,688.724 955.376,688.724 971.471,688.724 987.565,688.724 1003.66,688.724 \n  1019.75,688.724 1035.85,688.724 1051.94,688.724 1068.04,688.724 1084.13,688.724 1100.23,688.724 1116.32,688.724 1132.41,688.724 1148.51,688.724 1164.6,688.724 \n  1180.7,688.724 1196.79,688.724 1212.89,688.724 1228.98,688.724 1245.08,688.724 1261.17,688.724 1277.26,688.724 1293.36,688.724 1309.45,688.724 1325.55,688.724 \n  1341.64,688.724 1357.74,688.724 1373.83,688.724 1389.92,688.724 1406.02,688.724 1422.11,688.724 1438.21,688.724 1454.3,688.724 1470.4,688.724 1486.49,688.724 \n  1502.59,688.724 1518.68,688.724 1534.77,688.724 1550.87,688.724 1566.96,688.724 1583.06,688.724 1599.15,688.724 1615.25,688.724 1631.34,688.724 1647.43,688.724 \n  1663.53,688.724 1679.62,688.724 1695.72,688.724 1711.81,688.724 1727.91,688.724 1744,688.724 1760.1,688.724 1776.19,688.724 1792.28,688.724 1808.38,688.724 \n  1824.47,688.724 \n  \"/>\n<path clip-path=\"url(#clip190)\" d=\"\nM1412.05 190.21 L1815.89 190.21 L1815.89 69.2496 L1412.05 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1412.05,190.21 1815.89,190.21 1815.89,69.2496 1412.05,69.2496 1412.05,190.21 \n  \"/>\n<polyline clip-path=\"url(#clip190)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1431.01,129.73 1544.74,129.73 \n  \"/>\n<path clip-path=\"url(#clip190)\" d=\"M 0 0 M1568.37 130.505 L1568.37 143.167 L1575.87 143.167 Q1579.65 143.167 1581.45 141.616 Q1583.28 140.042 1583.28 136.824 Q1583.28 133.584 1581.45 132.056 Q1579.65 130.505 1575.87 130.505 L1568.37 130.505 M1568.37 116.292 L1568.37 126.709 L1575.29 126.709 Q1578.72 126.709 1580.39 125.436 Q1582.08 124.139 1582.08 121.5 Q1582.08 118.885 1580.39 117.588 Q1578.72 116.292 1575.29 116.292 L1568.37 116.292 M1563.7 112.45 L1575.64 112.45 Q1580.99 112.45 1583.88 114.672 Q1586.78 116.894 1586.78 120.991 Q1586.78 124.162 1585.29 126.037 Q1583.81 127.912 1580.94 128.375 Q1584.39 129.116 1586.29 131.477 Q1588.21 133.815 1588.21 137.334 Q1588.21 141.963 1585.06 144.486 Q1581.91 147.01 1576.1 147.01 L1563.7 147.01 L1563.7 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1614.85 132.982 L1614.85 135.065 L1595.27 135.065 Q1595.55 139.463 1597.91 141.778 Q1600.29 144.07 1604.53 144.07 Q1606.98 144.07 1609.28 143.468 Q1611.59 142.866 1613.86 141.662 L1613.86 145.69 Q1611.57 146.662 1609.16 147.172 Q1606.75 147.681 1604.28 147.681 Q1598.07 147.681 1594.44 144.07 Q1590.83 140.459 1590.83 134.301 Q1590.83 127.936 1594.25 124.209 Q1597.7 120.459 1603.53 120.459 Q1608.77 120.459 1611.8 123.838 Q1614.85 127.195 1614.85 132.982 M1610.59 131.732 Q1610.55 128.237 1608.63 126.153 Q1606.73 124.07 1603.58 124.07 Q1600.02 124.07 1597.86 126.084 Q1595.73 128.098 1595.41 131.755 L1610.59 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1623.53 113.723 L1623.53 121.084 L1632.31 121.084 L1632.31 124.394 L1623.53 124.394 L1623.53 138.468 Q1623.53 141.639 1624.39 142.542 Q1625.27 143.445 1627.93 143.445 L1632.31 143.445 L1632.31 147.01 L1627.93 147.01 Q1623 147.01 1621.13 145.181 Q1619.25 143.329 1619.25 138.468 L1619.25 124.394 L1616.13 124.394 L1616.13 121.084 L1619.25 121.084 L1619.25 113.723 L1623.53 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1648.56 133.977 Q1643.4 133.977 1641.4 135.158 Q1639.41 136.338 1639.41 139.186 Q1639.41 141.454 1640.9 142.797 Q1642.4 144.116 1644.97 144.116 Q1648.51 144.116 1650.64 141.616 Q1652.79 139.093 1652.79 134.926 L1652.79 133.977 L1648.56 133.977 M1657.05 132.218 L1657.05 147.01 L1652.79 147.01 L1652.79 143.074 Q1651.34 145.435 1649.16 146.57 Q1646.98 147.681 1643.84 147.681 Q1639.85 147.681 1637.49 145.459 Q1635.15 143.213 1635.15 139.463 Q1635.15 135.088 1638.07 132.866 Q1641.01 130.644 1646.82 130.644 L1652.79 130.644 L1652.79 130.227 Q1652.79 127.287 1650.85 125.69 Q1648.93 124.07 1645.43 124.07 Q1643.21 124.07 1641.1 124.602 Q1639 125.135 1637.05 126.199 L1637.05 122.264 Q1639.39 121.362 1641.59 120.922 Q1643.79 120.459 1645.87 120.459 Q1651.5 120.459 1654.27 123.375 Q1657.05 126.292 1657.05 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1671.75 111.038 Q1668.65 116.362 1667.15 121.57 Q1665.64 126.778 1665.64 132.125 Q1665.64 137.473 1667.15 142.727 Q1668.67 147.959 1671.75 153.26 L1668.05 153.26 Q1664.58 147.82 1662.84 142.565 Q1661.13 137.311 1661.13 132.125 Q1661.13 126.963 1662.84 121.732 Q1664.55 116.5 1668.05 111.038 L1671.75 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1687.4 127.866 Q1684.25 127.866 1682.4 130.019 Q1680.57 132.172 1680.57 135.922 Q1680.57 139.648 1682.4 141.824 Q1684.25 143.977 1687.4 143.977 Q1690.55 143.977 1692.38 141.824 Q1694.23 139.648 1694.23 135.922 Q1694.23 132.172 1692.38 130.019 Q1690.55 127.866 1687.4 127.866 M1696.68 113.213 L1696.68 117.473 Q1694.92 116.639 1693.12 116.2 Q1691.33 115.76 1689.58 115.76 Q1684.95 115.76 1682.49 118.885 Q1680.06 122.01 1679.71 128.329 Q1681.08 126.315 1683.14 125.25 Q1685.2 124.162 1687.68 124.162 Q1692.89 124.162 1695.9 127.334 Q1698.93 130.482 1698.93 135.922 Q1698.93 141.246 1695.78 144.463 Q1692.63 147.681 1687.4 147.681 Q1681.4 147.681 1678.23 143.098 Q1675.06 138.491 1675.06 129.764 Q1675.06 121.57 1678.95 116.709 Q1682.84 111.825 1689.39 111.825 Q1691.15 111.825 1692.93 112.172 Q1694.74 112.519 1696.68 113.213 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1704.48 141.13 L1709.37 141.13 L1709.37 145.111 L1705.57 152.519 L1702.58 152.519 L1704.48 145.111 L1704.48 141.13 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1725.02 127.866 Q1721.87 127.866 1720.02 130.019 Q1718.19 132.172 1718.19 135.922 Q1718.19 139.648 1720.02 141.824 Q1721.87 143.977 1725.02 143.977 Q1728.16 143.977 1729.99 141.824 Q1731.84 139.648 1731.84 135.922 Q1731.84 132.172 1729.99 130.019 Q1728.16 127.866 1725.02 127.866 M1734.3 113.213 L1734.3 117.473 Q1732.54 116.639 1730.73 116.2 Q1728.95 115.76 1727.19 115.76 Q1722.56 115.76 1720.11 118.885 Q1717.68 122.01 1717.33 128.329 Q1718.7 126.315 1720.76 125.25 Q1722.82 124.162 1725.29 124.162 Q1730.5 124.162 1733.51 127.334 Q1736.54 130.482 1736.54 135.922 Q1736.54 141.246 1733.39 144.463 Q1730.25 147.681 1725.02 147.681 Q1719.02 147.681 1715.85 143.098 Q1712.68 138.491 1712.68 129.764 Q1712.68 121.57 1716.57 116.709 Q1720.46 111.825 1727.01 111.825 Q1728.77 111.825 1730.55 112.172 Q1732.35 112.519 1734.3 113.213 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1751.61 115.528 Q1748 115.528 1746.17 119.093 Q1744.37 122.635 1744.37 129.764 Q1744.37 136.871 1746.17 140.436 Q1748 143.977 1751.61 143.977 Q1755.25 143.977 1757.05 140.436 Q1758.88 136.871 1758.88 129.764 Q1758.88 122.635 1757.05 119.093 Q1755.25 115.528 1751.61 115.528 M1751.61 111.825 Q1757.42 111.825 1760.48 116.431 Q1763.56 121.014 1763.56 129.764 Q1763.56 138.491 1760.48 143.098 Q1757.42 147.681 1751.61 147.681 Q1745.8 147.681 1742.72 143.098 Q1739.67 138.491 1739.67 129.764 Q1739.67 121.014 1742.72 116.431 Q1745.8 111.825 1751.61 111.825 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip190)\" d=\"M 0 0 M1767.35 111.038 L1771.06 111.038 Q1774.53 116.5 1776.24 121.732 Q1777.98 126.963 1777.98 132.125 Q1777.98 137.311 1776.24 142.565 Q1774.53 147.82 1771.06 153.26 L1767.35 153.26 Q1770.43 147.959 1771.94 142.727 Q1773.46 137.473 1773.46 132.125 Q1773.46 126.778 1771.94 121.57 Q1770.43 116.362 1767.35 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 41
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "source": [
    "m=p/(q-1)\n",
    "v=(p*(p + q - 1))/((q - 2)*(q - 1)^2)\n",
    "\n",
    "plot(0:.001:.5, ylim=1.0, betaprime, label=\"Beta Prime\")\n",
    "\n",
    "a = log(m^2/sqrt(v+m^2))\n",
    "s = sqrt(log((v+m^2)/m^2))\n",
    "lognormal(x) = (x*s*√(2*π))^-1 * exp(-(log(x) - a)^2/(2s^2))\n",
    "\n",
    "plot!(0:.001:.5, lognormal, label=\"LogNormal\")\n",
    "\n",
    "k=m^2/v; l=m/v\n",
    "gammad(x) = (l^k)*x^(k-1)*exp(-l*x)/gamma(k)\n",
    "\n",
    "plot!(0:.001:.5, ylim=1.0, gammad, label=\"Gamma\")\n",
    "\n",
    "\n",
    "vline!([m], label=\"Mean\")\n"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip230\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip230)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip231\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip230)\" d=\"\nM166.752 707.408 L1872.76 707.408 L1872.76 47.2441 L166.752 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip232\">\n    <rect x=\"166\" y=\"47\" width=\"1707\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.035,707.408 215.035,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  536.923,707.408 536.923,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  858.81,707.408 858.81,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1180.7,707.408 1180.7,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1502.59,707.408 1502.59,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1824.47,707.408 1824.47,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.035,707.408 215.035,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  536.923,707.408 536.923,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  858.81,707.408 858.81,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1180.7,707.408 1180.7,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1502.59,707.408 1502.59,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1824.47,707.408 1824.47,699.486 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M196.551 732.759 Q192.94 732.759 191.112 736.323 Q189.306 739.865 189.306 746.995 Q189.306 754.101 191.112 757.666 Q192.94 761.207 196.551 761.207 Q200.186 761.207 201.991 757.666 Q203.82 754.101 203.82 746.995 Q203.82 739.865 201.991 736.323 Q200.186 732.759 196.551 732.759 M196.551 729.055 Q202.361 729.055 205.417 733.661 Q208.496 738.245 208.496 746.995 Q208.496 755.721 205.417 760.328 Q202.361 764.911 196.551 764.911 Q190.741 764.911 187.662 760.328 Q184.607 755.721 184.607 746.995 Q184.607 738.245 187.662 733.661 Q190.741 729.055 196.551 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M213.565 758.36 L218.449 758.36 L218.449 764.24 L213.565 764.24 L213.565 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M233.519 732.759 Q229.908 732.759 228.079 736.323 Q226.273 739.865 226.273 746.995 Q226.273 754.101 228.079 757.666 Q229.908 761.207 233.519 761.207 Q237.153 761.207 238.958 757.666 Q240.787 754.101 240.787 746.995 Q240.787 739.865 238.958 736.323 Q237.153 732.759 233.519 732.759 M233.519 729.055 Q239.329 729.055 242.384 733.661 Q245.463 738.245 245.463 746.995 Q245.463 755.721 242.384 760.328 Q239.329 764.911 233.519 764.911 Q227.709 764.911 224.63 760.328 Q221.574 755.721 221.574 746.995 Q221.574 738.245 224.63 733.661 Q227.709 729.055 233.519 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M519.052 732.759 Q515.441 732.759 513.612 736.323 Q511.807 739.865 511.807 746.995 Q511.807 754.101 513.612 757.666 Q515.441 761.207 519.052 761.207 Q522.687 761.207 524.492 757.666 Q526.321 754.101 526.321 746.995 Q526.321 739.865 524.492 736.323 Q522.687 732.759 519.052 732.759 M519.052 729.055 Q524.862 729.055 527.918 733.661 Q530.997 738.245 530.997 746.995 Q530.997 755.721 527.918 760.328 Q524.862 764.911 519.052 764.911 Q513.242 764.911 510.163 760.328 Q507.108 755.721 507.108 746.995 Q507.108 738.245 510.163 733.661 Q513.242 729.055 519.052 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M536.066 758.36 L540.95 758.36 L540.95 764.24 L536.066 764.24 L536.066 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M546.83 760.305 L554.469 760.305 L554.469 733.939 L546.159 735.606 L546.159 731.347 L554.422 729.68 L559.098 729.68 L559.098 760.305 L566.737 760.305 L566.737 764.24 L546.83 764.24 L546.83 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M841.125 732.759 Q837.514 732.759 835.685 736.323 Q833.88 739.865 833.88 746.995 Q833.88 754.101 835.685 757.666 Q837.514 761.207 841.125 761.207 Q844.759 761.207 846.565 757.666 Q848.393 754.101 848.393 746.995 Q848.393 739.865 846.565 736.323 Q844.759 732.759 841.125 732.759 M841.125 729.055 Q846.935 729.055 849.991 733.661 Q853.069 738.245 853.069 746.995 Q853.069 755.721 849.991 760.328 Q846.935 764.911 841.125 764.911 Q835.315 764.911 832.236 760.328 Q829.181 755.721 829.181 746.995 Q829.181 738.245 832.236 733.661 Q835.315 729.055 841.125 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M858.139 758.36 L863.023 758.36 L863.023 764.24 L858.139 764.24 L858.139 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M872.12 760.305 L888.44 760.305 L888.44 764.24 L866.495 764.24 L866.495 760.305 Q869.157 757.55 873.741 752.92 Q878.347 748.268 879.528 746.925 Q881.773 744.402 882.653 742.666 Q883.555 740.907 883.555 739.217 Q883.555 736.462 881.611 734.726 Q879.69 732.99 876.588 732.99 Q874.389 732.99 871.935 733.754 Q869.504 734.518 866.727 736.069 L866.727 731.347 Q869.551 730.212 872.004 729.634 Q874.458 729.055 876.495 729.055 Q881.866 729.055 885.06 731.74 Q888.254 734.425 888.254 738.916 Q888.254 741.046 887.444 742.967 Q886.657 744.865 884.551 747.458 Q883.972 748.129 880.87 751.346 Q877.768 754.541 872.12 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1162.54 732.759 Q1158.93 732.759 1157.1 736.323 Q1155.29 739.865 1155.29 746.995 Q1155.29 754.101 1157.1 757.666 Q1158.93 761.207 1162.54 761.207 Q1166.17 761.207 1167.98 757.666 Q1169.81 754.101 1169.81 746.995 Q1169.81 739.865 1167.98 736.323 Q1166.17 732.759 1162.54 732.759 M1162.54 729.055 Q1168.35 729.055 1171.4 733.661 Q1174.48 738.245 1174.48 746.995 Q1174.48 755.721 1171.4 760.328 Q1168.35 764.911 1162.54 764.911 Q1156.73 764.911 1153.65 760.328 Q1150.59 755.721 1150.59 746.995 Q1150.59 738.245 1153.65 733.661 Q1156.73 729.055 1162.54 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1179.55 758.36 L1184.44 758.36 L1184.44 764.24 L1179.55 764.24 L1179.55 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1203.67 745.606 Q1207.03 746.323 1208.9 748.592 Q1210.8 750.86 1210.8 754.194 Q1210.8 759.309 1207.28 762.11 Q1203.76 764.911 1197.28 764.911 Q1195.11 764.911 1192.79 764.471 Q1190.5 764.055 1188.05 763.198 L1188.05 758.684 Q1189.99 759.819 1192.31 760.397 Q1194.62 760.976 1197.14 760.976 Q1201.54 760.976 1203.83 759.24 Q1206.15 757.504 1206.15 754.194 Q1206.15 751.138 1204 749.425 Q1201.87 747.689 1198.05 747.689 L1194.02 747.689 L1194.02 743.846 L1198.23 743.846 Q1201.68 743.846 1203.51 742.481 Q1205.34 741.092 1205.34 738.499 Q1205.34 735.837 1203.44 734.425 Q1201.57 732.99 1198.05 732.99 Q1196.13 732.99 1193.93 733.407 Q1191.73 733.823 1189.09 734.703 L1189.09 730.536 Q1191.75 729.796 1194.07 729.425 Q1196.4 729.055 1198.46 729.055 Q1203.79 729.055 1206.89 731.485 Q1209.99 733.893 1209.99 738.013 Q1209.99 740.884 1208.35 742.874 Q1206.7 744.842 1203.67 745.606 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1483.86 732.759 Q1480.25 732.759 1478.42 736.323 Q1476.61 739.865 1476.61 746.995 Q1476.61 754.101 1478.42 757.666 Q1480.25 761.207 1483.86 761.207 Q1487.49 761.207 1489.3 757.666 Q1491.13 754.101 1491.13 746.995 Q1491.13 739.865 1489.3 736.323 Q1487.49 732.759 1483.86 732.759 M1483.86 729.055 Q1489.67 729.055 1492.72 733.661 Q1495.8 738.245 1495.8 746.995 Q1495.8 755.721 1492.72 760.328 Q1489.67 764.911 1483.86 764.911 Q1478.05 764.911 1474.97 760.328 Q1471.91 755.721 1471.91 746.995 Q1471.91 738.245 1474.97 733.661 Q1478.05 729.055 1483.86 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1500.87 758.36 L1505.76 758.36 L1505.76 764.24 L1500.87 764.24 L1500.87 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1523.67 733.754 L1511.87 752.203 L1523.67 752.203 L1523.67 733.754 M1522.45 729.68 L1528.33 729.68 L1528.33 752.203 L1533.26 752.203 L1533.26 756.092 L1528.33 756.092 L1528.33 764.24 L1523.67 764.24 L1523.67 756.092 L1508.07 756.092 L1508.07 751.578 L1522.45 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1806.49 732.759 Q1802.88 732.759 1801.05 736.323 Q1799.24 739.865 1799.24 746.995 Q1799.24 754.101 1801.05 757.666 Q1802.88 761.207 1806.49 761.207 Q1810.12 761.207 1811.93 757.666 Q1813.76 754.101 1813.76 746.995 Q1813.76 739.865 1811.93 736.323 Q1810.12 732.759 1806.49 732.759 M1806.49 729.055 Q1812.3 729.055 1815.35 733.661 Q1818.43 738.245 1818.43 746.995 Q1818.43 755.721 1815.35 760.328 Q1812.3 764.911 1806.49 764.911 Q1800.68 764.911 1797.6 760.328 Q1794.54 755.721 1794.54 746.995 Q1794.54 738.245 1797.6 733.661 Q1800.68 729.055 1806.49 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1823.5 758.36 L1828.38 758.36 L1828.38 764.24 L1823.5 764.24 L1823.5 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1833.5 729.68 L1851.86 729.68 L1851.86 733.615 L1837.78 733.615 L1837.78 742.087 Q1838.8 741.74 1839.82 741.578 Q1840.84 741.393 1841.86 741.393 Q1847.64 741.393 1851.02 744.564 Q1854.4 747.735 1854.4 753.152 Q1854.4 758.731 1850.93 761.832 Q1847.46 764.911 1841.14 764.911 Q1838.96 764.911 1836.69 764.541 Q1834.45 764.17 1832.04 763.43 L1832.04 758.731 Q1834.13 759.865 1836.35 760.42 Q1838.57 760.976 1841.05 760.976 Q1845.05 760.976 1847.39 758.87 Q1849.73 756.763 1849.73 753.152 Q1849.73 749.541 1847.39 747.434 Q1845.05 745.328 1841.05 745.328 Q1839.17 745.328 1837.3 745.745 Q1835.44 746.161 1833.5 747.041 L1833.5 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,688.724 1872.76,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,550.324 1872.76,550.324 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,411.923 1872.76,411.923 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,273.523 1872.76,273.523 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  166.752,135.123 1872.76,135.123 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,707.408 166.752,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,688.724 187.224,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,550.324 187.224,550.324 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,411.923 187.224,411.923 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,273.523 187.224,273.523 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  166.752,135.123 187.224,135.123 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M89.0401 674.523 Q85.429 674.523 83.6003 678.087 Q81.7948 681.629 81.7948 688.759 Q81.7948 695.865 83.6003 699.43 Q85.429 702.972 89.0401 702.972 Q92.6743 702.972 94.4799 699.43 Q96.3086 695.865 96.3086 688.759 Q96.3086 681.629 94.4799 678.087 Q92.6743 674.523 89.0401 674.523 M89.0401 670.819 Q94.8502 670.819 97.9058 675.425 Q100.984 680.009 100.984 688.759 Q100.984 697.486 97.9058 702.092 Q94.8502 706.675 89.0401 706.675 Q83.2299 706.675 80.1512 702.092 Q77.0957 697.486 77.0957 688.759 Q77.0957 680.009 80.1512 675.425 Q83.2299 670.819 89.0401 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M106.054 700.124 L110.938 700.124 L110.938 706.004 L106.054 706.004 L106.054 700.124 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M126.007 674.523 Q122.396 674.523 120.568 678.087 Q118.762 681.629 118.762 688.759 Q118.762 695.865 120.568 699.43 Q122.396 702.972 126.007 702.972 Q129.642 702.972 131.447 699.43 Q133.276 695.865 133.276 688.759 Q133.276 681.629 131.447 678.087 Q129.642 674.523 126.007 674.523 M126.007 670.819 Q131.818 670.819 134.873 675.425 Q137.952 680.009 137.952 688.759 Q137.952 697.486 134.873 702.092 Q131.818 706.675 126.007 706.675 Q120.197 706.675 117.119 702.092 Q114.063 697.486 114.063 688.759 Q114.063 680.009 117.119 675.425 Q120.197 670.819 126.007 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M85.6605 563.668 L101.98 563.668 L101.98 567.604 L80.0355 567.604 L80.0355 563.668 Q82.6975 560.914 87.2808 556.284 Q91.8873 551.632 93.0678 550.289 Q95.3132 547.766 96.1928 546.03 Q97.0956 544.27 97.0956 542.581 Q97.0956 539.826 95.1512 538.09 Q93.2299 536.354 90.128 536.354 Q87.929 536.354 85.4753 537.118 Q83.0447 537.882 80.267 539.433 L80.267 534.71 Q83.091 533.576 85.5447 532.997 Q87.9984 532.419 90.0354 532.419 Q95.4058 532.419 98.6002 535.104 Q101.795 537.789 101.795 542.28 Q101.795 544.409 100.984 546.331 Q100.197 548.229 98.091 550.821 Q97.5123 551.493 94.4104 554.71 Q91.3086 557.905 85.6605 563.668 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M107.049 561.724 L111.933 561.724 L111.933 567.604 L107.049 567.604 L107.049 561.724 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M117.049 533.044 L135.406 533.044 L135.406 536.979 L121.332 536.979 L121.332 545.451 Q122.35 545.104 123.369 544.942 Q124.387 544.757 125.406 544.757 Q131.193 544.757 134.572 547.928 Q137.952 551.099 137.952 556.516 Q137.952 562.094 134.48 565.196 Q131.007 568.275 124.688 568.275 Q122.512 568.275 120.244 567.905 Q117.998 567.534 115.591 566.793 L115.591 562.094 Q117.674 563.229 119.896 563.784 Q122.119 564.34 124.595 564.34 Q128.6 564.34 130.938 562.233 Q133.276 560.127 133.276 556.516 Q133.276 552.905 130.938 550.798 Q128.6 548.692 124.595 548.692 Q122.72 548.692 120.845 549.108 Q118.994 549.525 117.049 550.405 L117.049 533.044 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M80.0818 394.643 L98.4382 394.643 L98.4382 398.578 L84.3642 398.578 L84.3642 407.051 Q85.3827 406.703 86.4012 406.541 Q87.4197 406.356 88.4382 406.356 Q94.2252 406.356 97.6049 409.527 Q100.984 412.699 100.984 418.115 Q100.984 423.694 97.5123 426.796 Q94.0401 429.875 87.7206 429.875 Q85.5447 429.875 83.2762 429.504 Q81.0309 429.134 78.6235 428.393 L78.6235 423.694 Q80.7068 424.828 82.929 425.384 Q85.1512 425.939 87.6281 425.939 Q91.6327 425.939 93.9706 423.833 Q96.3086 421.727 96.3086 418.115 Q96.3086 414.504 93.9706 412.398 Q91.6327 410.291 87.6281 410.291 Q85.7531 410.291 83.8781 410.708 Q82.0262 411.125 80.0818 412.004 L80.0818 394.643 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M106.054 423.324 L110.938 423.324 L110.938 429.203 L106.054 429.203 L106.054 423.324 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M126.007 397.722 Q122.396 397.722 120.568 401.287 Q118.762 404.828 118.762 411.958 Q118.762 419.064 120.568 422.629 Q122.396 426.171 126.007 426.171 Q129.642 426.171 131.447 422.629 Q133.276 419.064 133.276 411.958 Q133.276 404.828 131.447 401.287 Q129.642 397.722 126.007 397.722 M126.007 394.018 Q131.818 394.018 134.873 398.625 Q137.952 403.208 137.952 411.958 Q137.952 420.685 134.873 425.291 Q131.818 429.875 126.007 429.875 Q120.197 429.875 117.119 425.291 Q114.063 420.685 114.063 411.958 Q114.063 403.208 117.119 398.625 Q120.197 394.018 126.007 394.018 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M79.7577 256.243 L101.98 256.243 L101.98 258.234 L89.4336 290.803 L84.5494 290.803 L96.3549 260.178 L79.7577 260.178 L79.7577 256.243 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M107.049 284.923 L111.933 284.923 L111.933 290.803 L107.049 290.803 L107.049 284.923 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M117.049 256.243 L135.406 256.243 L135.406 260.178 L121.332 260.178 L121.332 268.65 Q122.35 268.303 123.369 268.141 Q124.387 267.956 125.406 267.956 Q131.193 267.956 134.572 271.127 Q137.952 274.298 137.952 279.715 Q137.952 285.294 134.48 288.396 Q131.007 291.474 124.688 291.474 Q122.512 291.474 120.244 291.104 Q117.998 290.734 115.591 289.993 L115.591 285.294 Q117.674 286.428 119.896 286.984 Q122.119 287.539 124.595 287.539 Q128.6 287.539 130.938 285.433 Q133.276 283.326 133.276 279.715 Q133.276 276.104 130.938 273.998 Q128.6 271.891 124.595 271.891 Q122.72 271.891 120.845 272.308 Q118.994 272.724 117.049 273.604 L117.049 256.243 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M54.0634 148.467 L61.7023 148.467 L61.7023 122.102 L53.3921 123.769 L53.3921 119.509 L61.656 117.843 L66.3319 117.843 L66.3319 148.467 L73.9707 148.467 L73.9707 152.403 L54.0634 152.403 L54.0634 148.467 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M89.0401 120.921 Q85.429 120.921 83.6003 124.486 Q81.7948 128.028 81.7948 135.157 Q81.7948 142.264 83.6003 145.829 Q85.429 149.37 89.0401 149.37 Q92.6743 149.37 94.4799 145.829 Q96.3086 142.264 96.3086 135.157 Q96.3086 128.028 94.4799 124.486 Q92.6743 120.921 89.0401 120.921 M89.0401 117.218 Q94.8502 117.218 97.9058 121.824 Q100.984 126.407 100.984 135.157 Q100.984 143.884 97.9058 148.491 Q94.8502 153.074 89.0401 153.074 Q83.2299 153.074 80.1512 148.491 Q77.0957 143.884 77.0957 135.157 Q77.0957 126.407 80.1512 121.824 Q83.2299 117.218 89.0401 117.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M106.054 146.523 L110.938 146.523 L110.938 152.403 L106.054 152.403 L106.054 146.523 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M126.007 120.921 Q122.396 120.921 120.568 124.486 Q118.762 128.028 118.762 135.157 Q118.762 142.264 120.568 145.829 Q122.396 149.37 126.007 149.37 Q129.642 149.37 131.447 145.829 Q133.276 142.264 133.276 135.157 Q133.276 128.028 131.447 124.486 Q129.642 120.921 126.007 120.921 M126.007 117.218 Q131.818 117.218 134.873 121.824 Q137.952 126.407 137.952 135.157 Q137.952 143.884 134.873 148.491 Q131.818 153.074 126.007 153.074 Q120.197 153.074 117.119 148.491 Q114.063 143.884 114.063 135.157 Q114.063 126.407 117.119 121.824 Q120.197 117.218 126.007 117.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip232)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.035,688.724 218.254,688.724 221.473,688.723 224.692,688.719 227.91,688.702 231.129,688.662 234.348,688.58 237.567,688.433 240.786,688.193 244.005,687.827 \n  247.224,687.301 250.443,686.578 253.661,685.617 256.88,684.381 260.099,682.829 263.318,680.925 266.537,678.633 269.756,675.919 272.975,672.753 276.194,669.109 \n  279.413,664.963 282.631,660.298 285.85,655.098 289.069,649.354 292.288,643.059 295.507,636.213 298.726,628.819 301.945,620.883 305.164,612.417 308.382,603.434 \n  311.601,593.954 314.82,583.997 318.039,573.588 321.258,562.753 324.477,551.522 327.696,539.925 330.915,527.996 334.133,515.769 337.352,503.279 340.571,490.562 \n  343.79,477.656 347.009,464.597 350.228,451.423 353.447,438.17 356.666,424.876 359.884,411.577 363.103,398.308 366.322,385.104 369.541,371.998 372.76,359.023 \n  375.979,346.21 379.198,333.588 382.417,321.188 385.635,309.034 388.854,297.153 392.073,285.567 395.292,274.301 398.511,263.373 401.73,252.802 404.949,242.607 \n  408.168,232.801 411.386,223.399 414.605,214.413 417.824,205.854 421.043,197.731 424.262,190.052 427.481,182.822 430.7,176.046 433.919,169.727 437.137,163.869 \n  440.356,158.471 443.575,153.532 446.794,149.053 450.013,145.029 453.232,141.458 456.451,138.334 459.67,135.653 462.888,133.409 466.107,131.593 469.326,130.199 \n  472.545,129.218 475.764,128.642 478.983,128.46 482.202,128.664 485.421,129.242 488.639,130.184 491.858,131.479 495.077,133.115 498.296,135.082 501.515,137.367 \n  504.734,139.959 507.953,142.846 511.172,146.014 514.39,149.454 517.609,153.151 520.828,157.095 524.047,161.273 527.266,165.673 530.485,170.284 533.704,175.093 \n  536.923,180.09 540.141,185.262 543.36,190.599 546.579,196.089 549.798,201.722 553.017,207.487 556.236,213.374 559.455,219.372 562.674,225.472 565.892,231.664 \n  569.111,237.939 572.33,244.288 575.549,250.701 578.768,257.171 581.987,263.689 585.206,270.248 588.425,276.839 591.643,283.456 594.862,290.091 598.081,296.737 \n  601.3,303.388 604.519,310.038 607.738,316.681 610.957,323.311 614.176,329.922 617.394,336.51 620.613,343.07 623.832,349.597 627.051,356.086 630.27,362.534 \n  633.489,368.936 636.708,375.289 639.927,381.59 643.145,387.835 646.364,394.021 649.583,400.145 652.802,406.205 656.021,412.199 659.24,418.123 662.459,423.977 \n  665.678,429.758 668.896,435.465 672.115,441.095 675.334,446.648 678.553,452.123 681.772,457.517 684.991,462.831 688.21,468.064 691.429,473.214 694.647,478.282 \n  697.866,483.267 701.085,488.168 704.304,492.985 707.523,497.719 710.742,502.368 713.961,506.934 717.18,511.416 720.398,515.814 723.617,520.13 726.836,524.362 \n  730.055,528.512 733.274,532.58 736.493,536.567 739.712,540.472 742.931,544.298 746.149,548.044 749.368,551.712 752.587,555.302 755.806,558.814 759.025,562.251 \n  762.244,565.612 765.463,568.899 768.682,572.112 771.9,575.253 775.119,578.323 778.338,581.322 781.557,584.251 784.776,587.113 787.995,589.907 791.214,592.634 \n  794.433,595.297 797.651,597.895 800.87,600.431 804.089,602.905 807.308,605.318 810.527,607.671 813.746,609.965 816.965,612.203 820.184,614.383 823.402,616.509 \n  826.621,618.58 829.84,620.598 833.059,622.564 836.278,624.479 839.497,626.344 842.716,628.16 845.935,629.928 849.153,631.65 852.372,633.325 855.591,634.956 \n  858.81,636.543 862.029,638.087 865.248,639.59 868.467,641.051 871.686,642.473 874.904,643.855 878.123,645.199 881.342,646.506 884.561,647.777 887.78,649.012 \n  890.999,650.213 894.218,651.38 897.437,652.514 900.655,653.616 903.874,654.686 907.093,655.727 910.312,656.737 913.531,657.718 916.75,658.671 919.969,659.597 \n  923.188,660.496 926.406,661.368 929.625,662.215 932.844,663.038 936.063,663.836 939.282,664.611 942.501,665.363 945.72,666.093 948.939,666.801 952.157,667.488 \n  955.376,668.154 958.595,668.801 961.814,669.429 965.033,670.037 968.252,670.627 971.471,671.2 974.69,671.755 977.908,672.293 981.127,672.815 984.346,673.321 \n  987.565,673.812 990.784,674.287 994.003,674.748 997.222,675.195 1000.44,675.628 1003.66,676.048 1006.88,676.455 1010.1,676.849 1013.32,677.231 1016.54,677.602 \n  1019.75,677.96 1022.97,678.308 1026.19,678.644 1029.41,678.971 1032.63,679.287 1035.85,679.593 1039.07,679.889 1042.29,680.176 1045.5,680.454 1048.72,680.723 \n  1051.94,680.984 1055.16,681.237 1058.38,681.481 1061.6,681.718 1064.82,681.947 1068.04,682.169 1071.26,682.384 1074.47,682.592 1077.69,682.793 1080.91,682.988 \n  1084.13,683.177 1087.35,683.359 1090.57,683.536 1093.79,683.707 1097.01,683.872 1100.23,684.032 1103.44,684.187 1106.66,684.337 1109.88,684.483 1113.1,684.623 \n  1116.32,684.759 1119.54,684.89 1122.76,685.018 1125.98,685.141 1129.2,685.26 1132.41,685.375 1135.63,685.486 1138.85,685.594 1142.07,685.698 1145.29,685.799 \n  1148.51,685.897 1151.73,685.991 1154.95,686.082 1158.17,686.17 1161.38,686.256 1164.6,686.338 1167.82,686.418 1171.04,686.495 1174.26,686.57 1177.48,686.642 \n  1180.7,686.712 1183.92,686.779 1187.14,686.845 1190.35,686.908 1193.57,686.969 1196.79,687.028 1200.01,687.085 1203.23,687.14 1206.45,687.193 1209.67,687.245 \n  1212.89,687.294 1216.11,687.343 1219.32,687.389 1222.54,687.434 1225.76,687.478 1228.98,687.52 1232.2,687.56 1235.42,687.599 1238.64,687.637 1241.86,687.674 \n  1245.08,687.71 1248.29,687.744 1251.51,687.777 1254.73,687.809 1257.95,687.84 1261.17,687.87 1264.39,687.899 1267.61,687.927 1270.83,687.954 1274.05,687.98 \n  1277.26,688.005 1280.48,688.029 1283.7,688.053 1286.92,688.076 1290.14,688.098 1293.36,688.119 1296.58,688.139 1299.8,688.159 1303.01,688.178 1306.23,688.197 \n  1309.45,688.215 1312.67,688.232 1315.89,688.249 1319.11,688.265 1322.33,688.281 1325.55,688.296 1328.77,688.31 1331.98,688.324 1335.2,688.338 1338.42,688.351 \n  1341.64,688.364 1344.86,688.376 1348.08,688.388 1351.3,688.399 1354.52,688.41 1357.74,688.421 1360.95,688.431 1364.17,688.441 1367.39,688.451 1370.61,688.46 \n  1373.83,688.469 1377.05,688.478 1380.27,688.486 1383.49,688.494 1386.71,688.502 1389.92,688.51 1393.14,688.517 1396.36,688.524 1399.58,688.531 1402.8,688.537 \n  1406.02,688.544 1409.24,688.55 1412.46,688.556 1415.68,688.562 1418.89,688.567 1422.11,688.572 1425.33,688.578 1428.55,688.583 1431.77,688.587 1434.99,688.592 \n  1438.21,688.597 1441.43,688.601 1444.65,688.605 1447.86,688.609 1451.08,688.613 1454.3,688.617 1457.52,688.621 1460.74,688.624 1463.96,688.627 1467.18,688.631 \n  1470.4,688.634 1473.62,688.637 1476.83,688.64 1480.05,688.643 1483.27,688.646 1486.49,688.648 1489.71,688.651 1492.93,688.653 1496.15,688.656 1499.37,688.658 \n  1502.59,688.66 1505.8,688.662 1509.02,688.665 1512.24,688.667 1515.46,688.669 1518.68,688.67 1521.9,688.672 1525.12,688.674 1528.34,688.676 1531.56,688.677 \n  1534.77,688.679 1537.99,688.68 1541.21,688.682 1544.43,688.683 1547.65,688.685 1550.87,688.686 1554.09,688.687 1557.31,688.689 1560.52,688.69 1563.74,688.691 \n  1566.96,688.692 1570.18,688.693 1573.4,688.694 1576.62,688.695 1579.84,688.696 1583.06,688.697 1586.28,688.698 1589.49,688.699 1592.71,688.7 1595.93,688.701 \n  1599.15,688.701 1602.37,688.702 1605.59,688.703 1608.81,688.704 1612.03,688.704 1615.25,688.705 1618.46,688.706 1621.68,688.706 1624.9,688.707 1628.12,688.707 \n  1631.34,688.708 1634.56,688.709 1637.78,688.709 1641,688.71 1644.22,688.71 1647.43,688.711 1650.65,688.711 1653.87,688.711 1657.09,688.712 1660.31,688.712 \n  1663.53,688.713 1666.75,688.713 1669.97,688.713 1673.19,688.714 1676.4,688.714 1679.62,688.714 1682.84,688.715 1686.06,688.715 1689.28,688.715 1692.5,688.716 \n  1695.72,688.716 1698.94,688.716 1702.16,688.716 1705.37,688.717 1708.59,688.717 1711.81,688.717 1715.03,688.717 1718.25,688.718 1721.47,688.718 1724.69,688.718 \n  1727.91,688.718 1731.13,688.718 1734.34,688.719 1737.56,688.719 1740.78,688.719 1744,688.719 1747.22,688.719 1750.44,688.72 1753.66,688.72 1756.88,688.72 \n  1760.1,688.72 1763.31,688.72 1766.53,688.72 1769.75,688.72 1772.97,688.72 1776.19,688.721 1779.41,688.721 1782.63,688.721 1785.85,688.721 1789.07,688.721 \n  1792.28,688.721 1795.5,688.721 1798.72,688.721 1801.94,688.721 1805.16,688.721 1808.38,688.722 1811.6,688.722 1814.82,688.722 1818.04,688.722 1821.25,688.722 \n  1824.47,688.722 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  218.254,688.724 221.473,688.724 224.692,688.724 227.91,688.724 231.129,688.724 234.348,688.724 237.567,688.724 240.786,688.724 244.005,688.723 247.224,688.721 \n  250.443,688.716 253.661,688.704 256.88,688.676 260.099,688.62 263.318,688.519 266.537,688.345 269.756,688.065 272.975,687.636 276.194,687.006 279.413,686.115 \n  282.631,684.896 285.85,683.279 289.069,681.188 292.288,678.548 295.507,675.286 298.726,671.33 301.945,666.616 305.164,661.087 308.382,654.694 311.601,647.401 \n  314.82,639.181 318.039,630.019 321.258,619.912 324.477,608.87 327.696,596.914 330.915,584.074 334.133,570.393 337.352,555.922 340.571,540.72 343.79,524.851 \n  347.009,508.388 350.228,491.408 353.447,473.989 356.666,456.213 359.884,438.164 363.103,419.925 366.322,401.579 369.541,383.208 372.76,364.889 375.979,346.701 \n  379.198,328.716 382.417,311.002 385.635,293.626 388.854,276.647 392.073,260.122 395.292,244.101 398.511,228.631 401.73,213.753 404.949,199.503 408.168,185.914 \n  411.386,173.011 414.605,160.817 417.824,149.351 421.043,138.626 424.262,128.651 427.481,119.434 430.7,110.976 433.919,103.278 437.137,96.3341 440.356,90.1393 \n  443.575,84.6843 446.794,79.9576 450.013,75.9458 453.232,72.6337 456.451,70.0042 459.67,68.0391 462.888,66.7186 466.107,66.0221 469.326,65.928 472.545,66.414 \n  475.764,67.4572 478.983,69.0343 482.202,71.1218 485.421,73.6959 488.639,76.7326 491.858,80.2083 495.077,84.0993 498.296,88.382 501.515,93.0334 504.734,98.0306 \n  507.953,103.351 511.172,108.973 514.39,114.875 517.609,121.037 520.828,127.437 524.047,134.056 527.266,140.875 530.485,147.876 533.704,155.04 536.923,162.351 \n  540.141,169.793 543.36,177.349 546.579,185.004 549.798,192.744 553.017,200.555 556.236,208.424 559.455,216.338 562.674,224.286 565.892,232.257 569.111,240.239 \n  572.33,248.223 575.549,256.2 578.768,264.159 581.987,272.094 585.206,279.996 588.425,287.858 591.643,295.673 594.862,303.435 598.081,311.137 601.3,318.775 \n  604.519,326.344 607.738,333.838 610.957,341.254 614.176,348.587 617.394,355.835 620.613,362.993 623.832,370.06 627.051,377.032 630.27,383.907 633.489,390.684 \n  636.708,397.359 639.927,403.933 643.145,410.404 646.364,416.77 649.583,423.031 652.802,429.186 656.021,435.235 659.24,441.176 662.459,447.012 665.678,452.74 \n  668.896,458.362 672.115,463.877 675.334,469.286 678.553,474.59 681.772,479.788 684.991,484.883 688.21,489.874 691.429,494.762 694.647,499.549 697.866,504.236 \n  701.085,508.822 704.304,513.311 707.523,517.702 710.742,521.997 713.961,526.197 717.18,530.304 720.398,534.319 723.617,538.243 726.836,542.078 730.055,545.825 \n  733.274,549.485 736.493,553.06 739.712,556.552 742.931,559.961 746.149,563.29 749.368,566.539 752.587,569.711 755.806,572.806 759.025,575.826 762.244,578.773 \n  765.463,581.648 768.682,584.453 771.9,587.188 775.119,589.856 778.338,592.458 781.557,594.994 784.776,597.467 787.995,599.878 791.214,602.229 794.433,604.519 \n  797.651,606.752 800.87,608.928 804.089,611.048 807.308,613.114 810.527,615.127 813.746,617.088 816.965,618.999 820.184,620.86 823.402,622.673 826.621,624.438 \n  829.84,626.158 833.059,627.833 836.278,629.464 839.497,631.052 842.716,632.598 845.935,634.104 849.153,635.57 852.372,636.997 855.591,638.387 858.81,639.74 \n  862.029,641.057 865.248,642.339 868.467,643.587 871.686,644.801 874.904,645.983 878.123,647.134 881.342,648.254 884.561,649.344 887.78,650.404 890.999,651.436 \n  894.218,652.441 897.437,653.418 900.655,654.37 903.874,655.295 907.093,656.196 910.312,657.072 913.531,657.925 916.75,658.754 919.969,659.562 923.188,660.347 \n  926.406,661.111 929.625,661.855 932.844,662.578 936.063,663.282 939.282,663.967 942.501,664.633 945.72,665.281 948.939,665.911 952.157,666.524 955.376,667.121 \n  958.595,667.702 961.814,668.266 965.033,668.816 968.252,669.35 971.471,669.87 974.69,670.376 977.908,670.868 981.127,671.346 984.346,671.812 987.565,672.265 \n  990.784,672.706 994.003,673.134 997.222,673.551 1000.44,673.957 1003.66,674.352 1006.88,674.735 1010.1,675.109 1013.32,675.472 1016.54,675.826 1019.75,676.169 \n  1022.97,676.504 1026.19,676.829 1029.41,677.146 1032.63,677.454 1035.85,677.753 1039.07,678.045 1042.29,678.328 1045.5,678.604 1048.72,678.873 1051.94,679.134 \n  1055.16,679.388 1058.38,679.635 1061.6,679.875 1064.82,680.109 1068.04,680.337 1071.26,680.558 1074.47,680.774 1077.69,680.983 1080.91,681.187 1084.13,681.386 \n  1087.35,681.579 1090.57,681.767 1093.79,681.95 1097.01,682.127 1100.23,682.3 1103.44,682.469 1106.66,682.633 1109.88,682.792 1113.1,682.947 1116.32,683.098 \n  1119.54,683.245 1122.76,683.388 1125.98,683.528 1129.2,683.663 1132.41,683.795 1135.63,683.923 1138.85,684.048 1142.07,684.169 1145.29,684.288 1148.51,684.403 \n  1151.73,684.515 1154.95,684.624 1158.17,684.73 1161.38,684.833 1164.6,684.934 1167.82,685.032 1171.04,685.127 1174.26,685.22 1177.48,685.31 1180.7,685.398 \n  1183.92,685.483 1187.14,685.566 1190.35,685.647 1193.57,685.726 1196.79,685.803 1200.01,685.878 1203.23,685.951 1206.45,686.022 1209.67,686.091 1212.89,686.158 \n  1216.11,686.223 1219.32,686.287 1222.54,686.349 1225.76,686.409 1228.98,686.468 1232.2,686.525 1235.42,686.581 1238.64,686.635 1241.86,686.688 1245.08,686.74 \n  1248.29,686.79 1251.51,686.839 1254.73,686.886 1257.95,686.933 1261.17,686.978 1264.39,687.022 1267.61,687.064 1270.83,687.106 1274.05,687.147 1277.26,687.186 \n  1280.48,687.225 1283.7,687.262 1286.92,687.299 1290.14,687.334 1293.36,687.369 1296.58,687.403 1299.8,687.436 1303.01,687.468 1306.23,687.499 1309.45,687.53 \n  1312.67,687.559 1315.89,687.588 1319.11,687.616 1322.33,687.644 1325.55,687.67 1328.77,687.696 1331.98,687.722 1335.2,687.746 1338.42,687.771 1341.64,687.794 \n  1344.86,687.817 1348.08,687.839 1351.3,687.861 1354.52,687.882 1357.74,687.903 1360.95,687.923 1364.17,687.942 1367.39,687.961 1370.61,687.98 1373.83,687.998 \n  1377.05,688.016 1380.27,688.033 1383.49,688.05 1386.71,688.066 1389.92,688.082 1393.14,688.098 1396.36,688.113 1399.58,688.128 1402.8,688.142 1406.02,688.156 \n  1409.24,688.17 1412.46,688.183 1415.68,688.196 1418.89,688.209 1422.11,688.221 1425.33,688.233 1428.55,688.245 1431.77,688.257 1434.99,688.268 1438.21,688.279 \n  1441.43,688.289 1444.65,688.3 1447.86,688.31 1451.08,688.32 1454.3,688.329 1457.52,688.339 1460.74,688.348 1463.96,688.357 1467.18,688.366 1470.4,688.374 \n  1473.62,688.382 1476.83,688.39 1480.05,688.398 1483.27,688.406 1486.49,688.414 1489.71,688.421 1492.93,688.428 1496.15,688.435 1499.37,688.442 1502.59,688.448 \n  1505.8,688.455 1509.02,688.461 1512.24,688.467 1515.46,688.473 1518.68,688.479 1521.9,688.485 1525.12,688.49 1528.34,688.496 1531.56,688.501 1534.77,688.506 \n  1537.99,688.511 1541.21,688.516 1544.43,688.521 1547.65,688.526 1550.87,688.53 1554.09,688.535 1557.31,688.539 1560.52,688.544 1563.74,688.548 1566.96,688.552 \n  1570.18,688.556 1573.4,688.56 1576.62,688.563 1579.84,688.567 1583.06,688.571 1586.28,688.574 1589.49,688.578 1592.71,688.581 1595.93,688.584 1599.15,688.587 \n  1602.37,688.591 1605.59,688.594 1608.81,688.597 1612.03,688.599 1615.25,688.602 1618.46,688.605 1621.68,688.608 1624.9,688.61 1628.12,688.613 1631.34,688.615 \n  1634.56,688.618 1637.78,688.62 1641,688.623 1644.22,688.625 1647.43,688.627 1650.65,688.629 1653.87,688.631 1657.09,688.633 1660.31,688.636 1663.53,688.638 \n  1666.75,688.639 1669.97,688.641 1673.19,688.643 1676.4,688.645 1679.62,688.647 1682.84,688.648 1686.06,688.65 1689.28,688.652 1692.5,688.653 1695.72,688.655 \n  1698.94,688.656 1702.16,688.658 1705.37,688.659 1708.59,688.661 1711.81,688.662 1715.03,688.664 1718.25,688.665 1721.47,688.666 1724.69,688.668 1727.91,688.669 \n  1731.13,688.67 1734.34,688.671 1737.56,688.672 1740.78,688.673 1744,688.675 1747.22,688.676 1750.44,688.677 1753.66,688.678 1756.88,688.679 1760.1,688.68 \n  1763.31,688.681 1766.53,688.682 1769.75,688.683 1772.97,688.683 1776.19,688.684 1779.41,688.685 1782.63,688.686 1785.85,688.687 1789.07,688.688 1792.28,688.688 \n  1795.5,688.689 1798.72,688.69 1801.94,688.691 1805.16,688.691 1808.38,688.692 1811.6,688.693 1814.82,688.693 1818.04,688.694 1821.25,688.695 1824.47,688.695 \n  \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.035,688.724 218.254,688.724 221.473,688.72 224.692,688.705 227.91,688.659 231.129,688.562 234.348,688.385 237.567,688.094 240.786,687.655 244.005,687.03 \n  247.224,686.181 250.443,685.071 253.661,683.662 256.88,681.92 260.099,679.811 263.318,677.305 266.537,674.376 269.756,671 272.975,667.158 276.194,662.833 \n  279.413,658.015 282.631,652.694 285.85,646.868 289.069,640.535 292.288,633.7 295.507,626.368 298.726,618.55 301.945,610.259 305.164,601.512 308.382,592.327 \n  311.601,582.725 314.82,572.729 318.039,562.364 321.258,551.658 324.477,540.639 327.696,529.335 330.915,517.777 334.133,505.996 337.352,494.023 340.571,481.891 \n  343.79,469.631 347.009,457.276 350.228,444.856 353.447,432.403 356.666,419.949 359.884,407.522 363.103,395.153 366.322,382.87 369.541,370.7 372.76,358.671 \n  375.979,346.808 379.198,335.134 382.417,323.674 385.635,312.448 388.854,301.479 392.073,290.784 395.292,280.382 398.511,270.29 401.73,260.522 404.949,251.093 \n  408.168,242.016 411.386,233.302 414.605,224.961 417.824,217.001 421.043,209.432 424.262,202.258 427.481,195.485 430.7,189.118 433.919,183.159 437.137,177.611 \n  440.356,172.474 443.575,167.748 446.794,163.434 450.013,159.528 453.232,156.029 456.451,152.932 459.67,150.235 462.888,147.932 466.107,146.018 469.326,144.487 \n  472.545,143.332 475.764,142.546 478.983,142.122 482.202,142.052 485.421,142.327 488.639,142.939 491.858,143.879 495.077,145.137 498.296,146.705 501.515,148.571 \n  504.734,150.727 507.953,153.162 511.172,155.867 514.39,158.83 517.609,162.043 520.828,165.493 524.047,169.172 527.266,173.069 530.485,177.173 533.704,181.474 \n  536.923,185.963 540.141,190.629 543.36,195.462 546.579,200.453 549.798,205.591 553.017,210.868 556.236,216.274 559.455,221.8 562.674,227.436 565.892,233.175 \n  569.111,239.007 572.33,244.924 575.549,250.918 578.768,256.981 581.987,263.105 585.206,269.282 588.425,275.506 591.643,281.77 594.862,288.066 598.081,294.388 \n  601.3,300.729 604.519,307.084 607.738,313.447 610.957,319.811 614.176,326.172 617.394,332.524 620.613,338.862 623.832,345.181 627.051,351.478 630.27,357.747 \n  633.489,363.984 636.708,370.186 639.927,376.349 643.145,382.469 646.364,388.543 649.583,394.568 652.802,400.541 656.021,406.459 659.24,412.32 662.459,418.121 \n  665.678,423.86 668.896,429.535 672.115,435.143 675.334,440.684 678.553,446.156 681.772,451.556 684.991,456.884 688.21,462.139 691.429,467.32 694.647,472.425 \n  697.866,477.453 701.085,482.405 704.304,487.279 707.523,492.075 710.742,496.793 713.961,501.432 717.18,505.991 720.398,510.472 723.617,514.874 726.836,519.196 \n  730.055,523.439 733.274,527.604 736.493,531.69 739.712,535.698 742.931,539.628 746.149,543.48 749.368,547.256 752.587,550.955 755.806,554.579 759.025,558.127 \n  762.244,561.601 765.463,565.001 768.682,568.328 771.9,571.583 775.119,574.766 778.338,577.879 781.557,580.922 784.776,583.896 787.995,586.803 791.214,589.642 \n  794.433,592.416 797.651,595.124 800.87,597.768 804.089,600.35 807.308,602.869 810.527,605.327 813.746,607.725 816.965,610.064 820.184,612.345 823.402,614.568 \n  826.621,616.736 829.84,618.849 833.059,620.908 836.278,622.915 839.497,624.869 842.716,626.772 845.935,628.626 849.153,630.43 852.372,632.187 855.591,633.897 \n  858.81,635.561 862.029,637.181 865.248,638.756 868.467,640.288 871.686,641.778 874.904,643.228 878.123,644.637 881.342,646.006 884.561,647.338 887.78,648.632 \n  890.999,649.889 894.218,651.111 897.437,652.298 900.655,653.45 903.874,654.57 907.093,655.657 910.312,656.713 913.531,657.737 916.75,658.732 919.969,659.697 \n  923.188,660.634 926.406,661.544 929.625,662.426 932.844,663.281 936.063,664.111 939.282,664.916 942.501,665.697 945.72,666.454 948.939,667.188 952.157,667.899 \n  955.376,668.589 958.595,669.257 961.814,669.905 965.033,670.532 968.252,671.141 971.471,671.73 974.69,672.3 977.908,672.853 981.127,673.389 984.346,673.907 \n  987.565,674.409 990.784,674.895 994.003,675.366 997.222,675.821 1000.44,676.262 1003.66,676.689 1006.88,677.102 1010.1,677.501 1013.32,677.888 1016.54,678.262 \n  1019.75,678.624 1022.97,678.974 1026.19,679.312 1029.41,679.639 1032.63,679.956 1035.85,680.262 1039.07,680.558 1042.29,680.844 1045.5,681.121 1048.72,681.388 \n  1051.94,681.647 1055.16,681.897 1058.38,682.138 1061.6,682.371 1064.82,682.597 1068.04,682.814 1071.26,683.025 1074.47,683.228 1077.69,683.424 1080.91,683.614 \n  1084.13,683.797 1087.35,683.974 1090.57,684.145 1093.79,684.309 1097.01,684.469 1100.23,684.622 1103.44,684.771 1106.66,684.914 1109.88,685.052 1113.1,685.186 \n  1116.32,685.314 1119.54,685.439 1122.76,685.559 1125.98,685.674 1129.2,685.786 1132.41,685.894 1135.63,685.997 1138.85,686.098 1142.07,686.194 1145.29,686.288 \n  1148.51,686.377 1151.73,686.464 1154.95,686.548 1158.17,686.628 1161.38,686.706 1164.6,686.781 1167.82,686.853 1171.04,686.923 1174.26,686.99 1177.48,687.055 \n  1180.7,687.117 1183.92,687.178 1187.14,687.236 1190.35,687.291 1193.57,687.345 1196.79,687.397 1200.01,687.447 1203.23,687.495 1206.45,687.542 1209.67,687.586 \n  1212.89,687.629 1216.11,687.671 1219.32,687.711 1222.54,687.749 1225.76,687.786 1228.98,687.822 1232.2,687.856 1235.42,687.89 1238.64,687.921 1241.86,687.952 \n  1245.08,687.982 1248.29,688.01 1251.51,688.037 1254.73,688.064 1257.95,688.089 1261.17,688.114 1264.39,688.137 1267.61,688.16 1270.83,688.181 1274.05,688.202 \n  1277.26,688.223 1280.48,688.242 1283.7,688.261 1286.92,688.279 1290.14,688.296 1293.36,688.313 1296.58,688.329 1299.8,688.344 1303.01,688.359 1306.23,688.373 \n  1309.45,688.387 1312.67,688.4 1315.89,688.413 1319.11,688.425 1322.33,688.436 1325.55,688.448 1328.77,688.459 1331.98,688.469 1335.2,688.479 1338.42,688.489 \n  1341.64,688.498 1344.86,688.507 1348.08,688.515 1351.3,688.524 1354.52,688.532 1357.74,688.539 1360.95,688.547 1364.17,688.554 1367.39,688.56 1370.61,688.567 \n  1373.83,688.573 1377.05,688.579 1380.27,688.585 1383.49,688.59 1386.71,688.596 1389.92,688.601 1393.14,688.606 1396.36,688.61 1399.58,688.615 1402.8,688.619 \n  1406.02,688.624 1409.24,688.628 1412.46,688.631 1415.68,688.635 1418.89,688.639 1422.11,688.642 1425.33,688.645 1428.55,688.649 1431.77,688.652 1434.99,688.655 \n  1438.21,688.657 1441.43,688.66 1444.65,688.663 1447.86,688.665 1451.08,688.667 1454.3,688.67 1457.52,688.672 1460.74,688.674 1463.96,688.676 1467.18,688.678 \n  1470.4,688.68 1473.62,688.682 1476.83,688.683 1480.05,688.685 1483.27,688.687 1486.49,688.688 1489.71,688.69 1492.93,688.691 1496.15,688.692 1499.37,688.694 \n  1502.59,688.695 1505.8,688.696 1509.02,688.697 1512.24,688.698 1515.46,688.699 1518.68,688.7 1521.9,688.701 1525.12,688.702 1528.34,688.703 1531.56,688.704 \n  1534.77,688.705 1537.99,688.706 1541.21,688.706 1544.43,688.707 1547.65,688.708 1550.87,688.709 1554.09,688.709 1557.31,688.71 1560.52,688.71 1563.74,688.711 \n  1566.96,688.711 1570.18,688.712 1573.4,688.712 1576.62,688.713 1579.84,688.713 1583.06,688.714 1586.28,688.714 1589.49,688.715 1592.71,688.715 1595.93,688.715 \n  1599.15,688.716 1602.37,688.716 1605.59,688.716 1608.81,688.717 1612.03,688.717 1615.25,688.717 1618.46,688.718 1621.68,688.718 1624.9,688.718 1628.12,688.718 \n  1631.34,688.719 1634.56,688.719 1637.78,688.719 1641,688.719 1644.22,688.719 1647.43,688.72 1650.65,688.72 1653.87,688.72 1657.09,688.72 1660.31,688.72 \n  1663.53,688.721 1666.75,688.721 1669.97,688.721 1673.19,688.721 1676.4,688.721 1679.62,688.721 1682.84,688.721 1686.06,688.721 1689.28,688.722 1692.5,688.722 \n  1695.72,688.722 1698.94,688.722 1702.16,688.722 1705.37,688.722 1708.59,688.722 1711.81,688.722 1715.03,688.722 1718.25,688.722 1721.47,688.722 1724.69,688.722 \n  1727.91,688.723 1731.13,688.723 1734.34,688.723 1737.56,688.723 1740.78,688.723 1744,688.723 1747.22,688.723 1750.44,688.723 1753.66,688.723 1756.88,688.723 \n  1760.1,688.723 1763.31,688.723 1766.53,688.723 1769.75,688.723 1772.97,688.723 1776.19,688.723 1779.41,688.723 1782.63,688.723 1785.85,688.723 1789.07,688.723 \n  1792.28,688.723 1795.5,688.723 1798.72,688.723 1801.94,688.723 1805.16,688.723 1808.38,688.723 1811.6,688.724 1814.82,688.724 1818.04,688.724 1821.25,688.724 \n  1824.47,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip232)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  542.378,1367.57 542.378,-612.92 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"\nM1394.76 371.65 L1815.89 371.65 L1815.89 69.2496 L1394.76 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1394.76,371.65 1815.89,371.65 1815.89,69.2496 1394.76,69.2496 1394.76,371.65 \n  \"/>\n<polyline clip-path=\"url(#clip230)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1413.72,129.73 1527.45,129.73 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M1551.08 130.505 L1551.08 143.167 L1558.58 143.167 Q1562.35 143.167 1564.16 141.616 Q1565.99 140.042 1565.99 136.824 Q1565.99 133.584 1564.16 132.056 Q1562.35 130.505 1558.58 130.505 L1551.08 130.505 M1551.08 116.292 L1551.08 126.709 L1558 126.709 Q1561.43 126.709 1563.09 125.436 Q1564.78 124.139 1564.78 121.5 Q1564.78 118.885 1563.09 117.588 Q1561.43 116.292 1558 116.292 L1551.08 116.292 M1546.41 112.45 L1558.35 112.45 Q1563.7 112.45 1566.59 114.672 Q1569.48 116.894 1569.48 120.991 Q1569.48 124.162 1568 126.037 Q1566.52 127.912 1563.65 128.375 Q1567.1 129.116 1569 131.477 Q1570.92 133.815 1570.92 137.334 Q1570.92 141.963 1567.77 144.486 Q1564.62 147.01 1558.81 147.01 L1546.41 147.01 L1546.41 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1597.56 132.982 L1597.56 135.065 L1577.98 135.065 Q1578.26 139.463 1580.62 141.778 Q1583 144.07 1587.24 144.07 Q1589.69 144.07 1591.98 143.468 Q1594.3 142.866 1596.57 141.662 L1596.57 145.69 Q1594.28 146.662 1591.87 147.172 Q1589.46 147.681 1586.98 147.681 Q1580.78 147.681 1577.15 144.07 Q1573.53 140.459 1573.53 134.301 Q1573.53 127.936 1576.96 124.209 Q1580.41 120.459 1586.24 120.459 Q1591.47 120.459 1594.51 123.838 Q1597.56 127.195 1597.56 132.982 M1593.3 131.732 Q1593.26 128.237 1591.34 126.153 Q1589.44 124.07 1586.29 124.07 Q1582.72 124.07 1580.57 126.084 Q1578.44 128.098 1578.12 131.755 L1593.3 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1606.24 113.723 L1606.24 121.084 L1615.02 121.084 L1615.02 124.394 L1606.24 124.394 L1606.24 138.468 Q1606.24 141.639 1607.1 142.542 Q1607.98 143.445 1610.64 143.445 L1615.02 143.445 L1615.02 147.01 L1610.64 147.01 Q1605.71 147.01 1603.84 145.181 Q1601.96 143.329 1601.96 138.468 L1601.96 124.394 L1598.84 124.394 L1598.84 121.084 L1601.96 121.084 L1601.96 113.723 L1606.24 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1631.27 133.977 Q1626.1 133.977 1624.11 135.158 Q1622.12 136.338 1622.12 139.186 Q1622.12 141.454 1623.6 142.797 Q1625.11 144.116 1627.68 144.116 Q1631.22 144.116 1633.35 141.616 Q1635.5 139.093 1635.5 134.926 L1635.5 133.977 L1631.27 133.977 M1639.76 132.218 L1639.76 147.01 L1635.5 147.01 L1635.5 143.074 Q1634.04 145.435 1631.87 146.57 Q1629.69 147.681 1626.54 147.681 Q1622.56 147.681 1620.2 145.459 Q1617.86 143.213 1617.86 139.463 Q1617.86 135.088 1620.78 132.866 Q1623.72 130.644 1629.53 130.644 L1635.5 130.644 L1635.5 130.227 Q1635.5 127.287 1633.56 125.69 Q1631.64 124.07 1628.14 124.07 Q1625.92 124.07 1623.81 124.602 Q1621.71 125.135 1619.76 126.199 L1619.76 122.264 Q1622.1 121.362 1624.3 120.922 Q1626.5 120.459 1628.58 120.459 Q1634.21 120.459 1636.98 123.375 Q1639.76 126.292 1639.76 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1664.16 116.292 L1664.16 129.278 L1670.04 129.278 Q1673.3 129.278 1675.08 127.588 Q1676.87 125.899 1676.87 122.774 Q1676.87 119.672 1675.08 117.982 Q1673.3 116.292 1670.04 116.292 L1664.16 116.292 M1659.48 112.45 L1670.04 112.45 Q1675.85 112.45 1678.81 115.088 Q1681.8 117.704 1681.8 122.774 Q1681.8 127.889 1678.81 130.505 Q1675.85 133.121 1670.04 133.121 L1664.16 133.121 L1664.16 147.01 L1659.48 147.01 L1659.48 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1700.46 125.065 Q1699.74 124.649 1698.88 124.463 Q1698.05 124.255 1697.03 124.255 Q1693.42 124.255 1691.47 126.616 Q1689.55 128.954 1689.55 133.352 L1689.55 147.01 L1685.27 147.01 L1685.27 121.084 L1689.55 121.084 L1689.55 125.112 Q1690.9 122.75 1693.05 121.616 Q1695.2 120.459 1698.28 120.459 Q1698.72 120.459 1699.25 120.528 Q1699.78 120.575 1700.43 120.69 L1700.46 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1704.92 121.084 L1709.18 121.084 L1709.18 147.01 L1704.92 147.01 L1704.92 121.084 M1704.92 110.991 L1709.18 110.991 L1709.18 116.385 L1704.92 116.385 L1704.92 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1733.83 126.061 Q1735.43 123.19 1737.65 121.825 Q1739.88 120.459 1742.89 120.459 Q1746.94 120.459 1749.14 123.306 Q1751.33 126.13 1751.33 131.361 L1751.33 147.01 L1747.05 147.01 L1747.05 131.5 Q1747.05 127.774 1745.73 125.968 Q1744.41 124.162 1741.7 124.162 Q1738.39 124.162 1736.47 126.362 Q1734.55 128.561 1734.55 132.357 L1734.55 147.01 L1730.27 147.01 L1730.27 131.5 Q1730.27 127.75 1728.95 125.968 Q1727.63 124.162 1724.88 124.162 Q1721.61 124.162 1719.69 126.385 Q1717.77 128.584 1717.77 132.357 L1717.77 147.01 L1713.49 147.01 L1713.49 121.084 L1717.77 121.084 L1717.77 125.112 Q1719.23 122.727 1721.27 121.593 Q1723.3 120.459 1726.1 120.459 Q1728.93 120.459 1730.89 121.894 Q1732.89 123.329 1733.83 126.061 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1777.98 132.982 L1777.98 135.065 L1758.39 135.065 Q1758.67 139.463 1761.03 141.778 Q1763.42 144.07 1767.65 144.07 Q1770.11 144.07 1772.4 143.468 Q1774.71 142.866 1776.98 141.662 L1776.98 145.69 Q1774.69 146.662 1772.28 147.172 Q1769.88 147.681 1767.4 147.681 Q1761.2 147.681 1757.56 144.07 Q1753.95 140.459 1753.95 134.301 Q1753.95 127.936 1757.38 124.209 Q1760.83 120.459 1766.66 120.459 Q1771.89 120.459 1774.92 123.838 Q1777.98 127.195 1777.98 132.982 M1773.72 131.732 Q1773.67 128.237 1771.75 126.153 Q1769.85 124.07 1766.7 124.07 Q1763.14 124.07 1760.99 126.084 Q1758.86 128.098 1758.53 131.755 L1773.72 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip230)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1413.72,190.21 1527.45,190.21 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M1546.41 172.93 L1551.08 172.93 L1551.08 203.554 L1567.91 203.554 L1567.91 207.49 L1546.41 207.49 L1546.41 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1581.59 184.55 Q1578.16 184.55 1576.17 187.235 Q1574.18 189.897 1574.18 194.55 Q1574.18 199.203 1576.15 201.888 Q1578.14 204.55 1581.59 204.55 Q1584.99 204.55 1586.98 201.865 Q1588.97 199.179 1588.97 194.55 Q1588.97 189.943 1586.98 187.258 Q1584.99 184.55 1581.59 184.55 M1581.59 180.939 Q1587.15 180.939 1590.32 184.55 Q1593.49 188.161 1593.49 194.55 Q1593.49 200.916 1590.32 204.55 Q1587.15 208.161 1581.59 208.161 Q1576.01 208.161 1572.84 204.55 Q1569.69 200.916 1569.69 194.55 Q1569.69 188.161 1572.84 184.55 Q1576.01 180.939 1581.59 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1615.02 194.226 Q1615.02 189.596 1613.09 187.05 Q1611.2 184.504 1607.75 184.504 Q1604.32 184.504 1602.4 187.05 Q1600.5 189.596 1600.5 194.226 Q1600.5 198.832 1602.4 201.378 Q1604.32 203.925 1607.75 203.925 Q1611.2 203.925 1613.09 201.378 Q1615.02 198.832 1615.02 194.226 M1619.28 204.272 Q1619.28 210.892 1616.34 214.11 Q1613.4 217.351 1607.33 217.351 Q1605.09 217.351 1603.09 217.003 Q1601.1 216.679 1599.23 215.985 L1599.23 211.841 Q1601.1 212.86 1602.93 213.346 Q1604.76 213.832 1606.66 213.832 Q1610.85 213.832 1612.93 211.633 Q1615.02 209.457 1615.02 205.036 L1615.02 202.929 Q1613.7 205.221 1611.64 206.355 Q1609.58 207.49 1606.71 207.49 Q1601.94 207.49 1599.02 203.855 Q1596.1 200.221 1596.1 194.226 Q1596.1 188.207 1599.02 184.573 Q1601.94 180.939 1606.71 180.939 Q1609.58 180.939 1611.64 182.073 Q1613.7 183.207 1615.02 185.499 L1615.02 181.564 L1619.28 181.564 L1619.28 204.272 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1623.93 172.93 L1630.22 172.93 L1645.55 201.841 L1645.55 172.93 L1650.09 172.93 L1650.09 207.49 L1643.79 207.49 L1628.46 178.578 L1628.46 207.49 L1623.93 207.49 L1623.93 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1664.6 184.55 Q1661.17 184.55 1659.18 187.235 Q1657.19 189.897 1657.19 194.55 Q1657.19 199.203 1659.16 201.888 Q1661.15 204.55 1664.6 204.55 Q1668 204.55 1669.99 201.865 Q1671.98 199.179 1671.98 194.55 Q1671.98 189.943 1669.99 187.258 Q1668 184.55 1664.6 184.55 M1664.6 180.939 Q1670.15 180.939 1673.33 184.55 Q1676.5 188.161 1676.5 194.55 Q1676.5 200.916 1673.33 204.55 Q1670.15 208.161 1664.6 208.161 Q1659.02 208.161 1655.85 204.55 Q1652.7 200.916 1652.7 194.55 Q1652.7 188.161 1655.85 184.55 Q1659.02 180.939 1664.6 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1695.99 185.545 Q1695.27 185.129 1694.41 184.943 Q1693.58 184.735 1692.56 184.735 Q1688.95 184.735 1687.01 187.096 Q1685.08 189.434 1685.08 193.832 L1685.08 207.49 L1680.8 207.49 L1680.8 181.564 L1685.08 181.564 L1685.08 185.592 Q1686.43 183.23 1688.58 182.096 Q1690.73 180.939 1693.81 180.939 Q1694.25 180.939 1694.78 181.008 Q1695.32 181.055 1695.96 181.17 L1695.99 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1719.81 186.541 Q1721.4 183.67 1723.63 182.305 Q1725.85 180.939 1728.86 180.939 Q1732.91 180.939 1735.11 183.786 Q1737.31 186.61 1737.31 191.841 L1737.31 207.49 L1733.02 207.49 L1733.02 191.98 Q1733.02 188.254 1731.71 186.448 Q1730.39 184.642 1727.68 184.642 Q1724.37 184.642 1722.45 186.842 Q1720.52 189.041 1720.52 192.837 L1720.52 207.49 L1716.24 207.49 L1716.24 191.98 Q1716.24 188.23 1714.92 186.448 Q1713.6 184.642 1710.85 184.642 Q1707.58 184.642 1705.66 186.865 Q1703.74 189.064 1703.74 192.837 L1703.74 207.49 L1699.46 207.49 L1699.46 181.564 L1703.74 181.564 L1703.74 185.592 Q1705.2 183.207 1707.24 182.073 Q1709.27 180.939 1712.08 180.939 Q1714.9 180.939 1716.87 182.374 Q1718.86 183.809 1719.81 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1753.56 194.457 Q1748.39 194.457 1746.4 195.638 Q1744.41 196.818 1744.41 199.666 Q1744.41 201.934 1745.89 203.277 Q1747.4 204.596 1749.97 204.596 Q1753.51 204.596 1755.64 202.096 Q1757.79 199.573 1757.79 195.406 L1757.79 194.457 L1753.56 194.457 M1762.05 192.698 L1762.05 207.49 L1757.79 207.49 L1757.79 203.554 Q1756.33 205.915 1754.16 207.05 Q1751.98 208.161 1748.83 208.161 Q1744.85 208.161 1742.49 205.939 Q1740.15 203.693 1740.15 199.943 Q1740.15 195.568 1743.07 193.346 Q1746.01 191.124 1751.82 191.124 L1757.79 191.124 L1757.79 190.707 Q1757.79 187.767 1755.85 186.17 Q1753.93 184.55 1750.43 184.55 Q1748.21 184.55 1746.1 185.082 Q1744 185.615 1742.05 186.679 L1742.05 182.744 Q1744.39 181.842 1746.59 181.402 Q1748.79 180.939 1750.87 180.939 Q1756.5 180.939 1759.27 183.855 Q1762.05 186.772 1762.05 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1766.52 171.471 L1770.78 171.471 L1770.78 207.49 L1766.52 207.49 L1766.52 171.471 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip230)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1413.72,250.69 1527.45,250.69 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M1571.96 263.039 L1571.96 253.757 L1564.32 253.757 L1564.32 249.914 L1576.59 249.914 L1576.59 264.752 Q1573.88 266.673 1570.62 267.669 Q1567.35 268.641 1563.65 268.641 Q1555.55 268.641 1550.97 263.919 Q1546.41 259.173 1546.41 250.724 Q1546.41 242.252 1550.97 237.53 Q1555.55 232.785 1563.65 232.785 Q1567.03 232.785 1570.06 233.618 Q1573.12 234.451 1575.69 236.072 L1575.69 241.048 Q1573.09 238.849 1570.18 237.738 Q1567.26 236.627 1564.04 236.627 Q1557.7 236.627 1554.51 240.169 Q1551.34 243.71 1551.34 250.724 Q1551.34 257.715 1554.51 261.257 Q1557.7 264.798 1564.04 264.798 Q1566.52 264.798 1568.47 264.382 Q1570.41 263.942 1571.96 263.039 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1592.84 254.937 Q1587.68 254.937 1585.69 256.118 Q1583.7 257.298 1583.7 260.146 Q1583.7 262.414 1585.18 263.757 Q1586.68 265.076 1589.25 265.076 Q1592.79 265.076 1594.92 262.576 Q1597.08 260.053 1597.08 255.886 L1597.08 254.937 L1592.84 254.937 M1601.34 253.178 L1601.34 267.97 L1597.08 267.97 L1597.08 264.034 Q1595.62 266.395 1593.44 267.53 Q1591.27 268.641 1588.12 268.641 Q1584.14 268.641 1581.78 266.419 Q1579.44 264.173 1579.44 260.423 Q1579.44 256.048 1582.35 253.826 Q1585.29 251.604 1591.1 251.604 L1597.08 251.604 L1597.08 251.187 Q1597.08 248.247 1595.13 246.65 Q1593.21 245.03 1589.72 245.03 Q1587.49 245.03 1585.39 245.562 Q1583.28 246.095 1581.34 247.159 L1581.34 243.224 Q1583.67 242.322 1585.87 241.882 Q1588.07 241.419 1590.15 241.419 Q1595.78 241.419 1598.56 244.335 Q1601.34 247.252 1601.34 253.178 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1625.99 247.021 Q1627.59 244.15 1629.81 242.785 Q1632.03 241.419 1635.04 241.419 Q1639.09 241.419 1641.29 244.266 Q1643.49 247.09 1643.49 252.321 L1643.49 267.97 L1639.21 267.97 L1639.21 252.46 Q1639.21 248.734 1637.89 246.928 Q1636.57 245.122 1633.86 245.122 Q1630.55 245.122 1628.63 247.322 Q1626.71 249.521 1626.71 253.317 L1626.71 267.97 L1622.42 267.97 L1622.42 252.46 Q1622.42 248.71 1621.1 246.928 Q1619.78 245.122 1617.03 245.122 Q1613.77 245.122 1611.84 247.345 Q1609.92 249.544 1609.92 253.317 L1609.92 267.97 L1605.64 267.97 L1605.64 242.044 L1609.92 242.044 L1609.92 246.072 Q1611.38 243.687 1613.42 242.553 Q1615.46 241.419 1618.26 241.419 Q1621.08 241.419 1623.05 242.854 Q1625.04 244.289 1625.99 247.021 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1668.14 247.021 Q1669.74 244.15 1671.96 242.785 Q1674.18 241.419 1677.19 241.419 Q1681.24 241.419 1683.44 244.266 Q1685.64 247.09 1685.64 252.321 L1685.64 267.97 L1681.36 267.97 L1681.36 252.46 Q1681.36 248.734 1680.04 246.928 Q1678.72 245.122 1676.01 245.122 Q1672.7 245.122 1670.78 247.322 Q1668.86 249.521 1668.86 253.317 L1668.86 267.97 L1664.58 267.97 L1664.58 252.46 Q1664.58 248.71 1663.26 246.928 Q1661.94 245.122 1659.18 245.122 Q1655.92 245.122 1654 247.345 Q1652.08 249.544 1652.08 253.317 L1652.08 267.97 L1647.79 267.97 L1647.79 242.044 L1652.08 242.044 L1652.08 246.072 Q1653.53 243.687 1655.57 242.553 Q1657.61 241.419 1660.41 241.419 Q1663.23 241.419 1665.2 242.854 Q1667.19 244.289 1668.14 247.021 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1701.89 254.937 Q1696.73 254.937 1694.74 256.118 Q1692.75 257.298 1692.75 260.146 Q1692.75 262.414 1694.23 263.757 Q1695.73 265.076 1698.3 265.076 Q1701.84 265.076 1703.97 262.576 Q1706.13 260.053 1706.13 255.886 L1706.13 254.937 L1701.89 254.937 M1710.39 253.178 L1710.39 267.97 L1706.13 267.97 L1706.13 264.034 Q1704.67 266.395 1702.49 267.53 Q1700.32 268.641 1697.17 268.641 Q1693.19 268.641 1690.83 266.419 Q1688.49 264.173 1688.49 260.423 Q1688.49 256.048 1691.4 253.826 Q1694.34 251.604 1700.15 251.604 L1706.13 251.604 L1706.13 251.187 Q1706.13 248.247 1704.18 246.65 Q1702.26 245.03 1698.77 245.03 Q1696.54 245.03 1694.44 245.562 Q1692.33 246.095 1690.39 247.159 L1690.39 243.224 Q1692.72 242.322 1694.92 241.882 Q1697.12 241.419 1699.21 241.419 Q1704.83 241.419 1707.61 244.335 Q1710.39 247.252 1710.39 253.178 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip230)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1413.72,311.17 1527.45,311.17 \n  \"/>\n<path clip-path=\"url(#clip230)\" d=\"M 0 0 M1546.41 293.89 L1553.37 293.89 L1562.19 317.408 L1571.06 293.89 L1578.03 293.89 L1578.03 328.45 L1573.47 328.45 L1573.47 298.102 L1564.55 321.806 L1559.85 321.806 L1550.94 298.102 L1550.94 328.45 L1546.41 328.45 L1546.41 293.89 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1604.67 314.422 L1604.67 316.505 L1585.09 316.505 Q1585.36 320.903 1587.72 323.218 Q1590.11 325.51 1594.34 325.51 Q1596.8 325.51 1599.09 324.908 Q1601.4 324.306 1603.67 323.102 L1603.67 327.13 Q1601.38 328.102 1598.97 328.612 Q1596.57 329.121 1594.09 329.121 Q1587.89 329.121 1584.25 325.51 Q1580.64 321.899 1580.64 315.741 Q1580.64 309.376 1584.07 305.649 Q1587.52 301.899 1593.35 301.899 Q1598.58 301.899 1601.61 305.278 Q1604.67 308.635 1604.67 314.422 M1600.41 313.172 Q1600.36 309.677 1598.44 307.593 Q1596.54 305.51 1593.4 305.51 Q1589.83 305.51 1587.68 307.524 Q1585.55 309.538 1585.22 313.195 L1600.41 313.172 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1620.92 315.417 Q1615.76 315.417 1613.77 316.598 Q1611.78 317.778 1611.78 320.626 Q1611.78 322.894 1613.26 324.237 Q1614.76 325.556 1617.33 325.556 Q1620.87 325.556 1623 323.056 Q1625.15 320.533 1625.15 316.366 L1625.15 315.417 L1620.92 315.417 M1629.41 313.658 L1629.41 328.45 L1625.15 328.45 L1625.15 324.514 Q1623.7 326.875 1621.52 328.01 Q1619.34 329.121 1616.2 329.121 Q1612.21 329.121 1609.85 326.899 Q1607.52 324.653 1607.52 320.903 Q1607.52 316.528 1610.43 314.306 Q1613.37 312.084 1619.18 312.084 L1625.15 312.084 L1625.15 311.667 Q1625.15 308.727 1623.21 307.13 Q1621.29 305.51 1617.79 305.51 Q1615.57 305.51 1613.46 306.042 Q1611.36 306.575 1609.41 307.639 L1609.41 303.704 Q1611.75 302.802 1613.95 302.362 Q1616.15 301.899 1618.23 301.899 Q1623.86 301.899 1626.64 304.815 Q1629.41 307.732 1629.41 313.658 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip230)\" d=\"M 0 0 M1655.43 312.801 L1655.43 328.45 L1651.17 328.45 L1651.17 312.94 Q1651.17 309.26 1649.74 307.431 Q1648.3 305.602 1645.43 305.602 Q1641.98 305.602 1639.99 307.802 Q1638 310.001 1638 313.797 L1638 328.45 L1633.72 328.45 L1633.72 302.524 L1638 302.524 L1638 306.552 Q1639.53 304.214 1641.59 303.056 Q1643.67 301.899 1646.38 301.899 Q1650.85 301.899 1653.14 304.677 Q1655.43 307.431 1655.43 312.801 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 42
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Gamma seems to be a better approximatio to the BetaPrime when the load and its variance is lower."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "source": [
    "plot(0:.001:.5, x -> lognormal(x)-betaprime(x), label=\"Absolute error (LogNormal\")\n",
    "plot!(0:.001:.5, x -> gammad(x)-betaprime(x), label=\"Absolute error (Gamma)\")"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip270\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip270)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip271\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip270)\" d=\"\nM174.854 707.408 L1872.76 707.408 L1872.76 47.2441 L174.854 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip272\">\n    <rect x=\"174\" y=\"47\" width=\"1699\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  222.908,707.408 222.908,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  543.266,707.408 543.266,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  863.625,707.408 863.625,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1183.98,707.408 1183.98,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1504.34,707.408 1504.34,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1824.7,707.408 1824.7,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  222.908,707.408 222.908,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  543.266,707.408 543.266,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  863.625,707.408 863.625,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1183.98,707.408 1183.98,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1504.34,707.408 1504.34,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1824.7,707.408 1824.7,699.486 \n  \"/>\n<path clip-path=\"url(#clip270)\" d=\"M 0 0 M204.424 732.759 Q200.813 732.759 198.984 736.323 Q197.178 739.865 197.178 746.995 Q197.178 754.101 198.984 757.666 Q200.813 761.207 204.424 761.207 Q208.058 761.207 209.864 757.666 Q211.692 754.101 211.692 746.995 Q211.692 739.865 209.864 736.323 Q208.058 732.759 204.424 732.759 M204.424 729.055 Q210.234 729.055 213.289 733.661 Q216.368 738.245 216.368 746.995 Q216.368 755.721 213.289 760.328 Q210.234 764.911 204.424 764.911 Q198.614 764.911 195.535 760.328 Q192.479 755.721 192.479 746.995 Q192.479 738.245 195.535 733.661 Q198.614 729.055 204.424 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M221.438 758.36 L226.322 758.36 L226.322 764.24 L221.438 764.24 L221.438 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M241.391 732.759 Q237.78 732.759 235.951 736.323 Q234.146 739.865 234.146 746.995 Q234.146 754.101 235.951 757.666 Q237.78 761.207 241.391 761.207 Q245.025 761.207 246.831 757.666 Q248.66 754.101 248.66 746.995 Q248.66 739.865 246.831 736.323 Q245.025 732.759 241.391 732.759 M241.391 729.055 Q247.201 729.055 250.257 733.661 Q253.336 738.245 253.336 746.995 Q253.336 755.721 250.257 760.328 Q247.201 764.911 241.391 764.911 Q235.581 764.911 232.502 760.328 Q229.447 755.721 229.447 746.995 Q229.447 738.245 232.502 733.661 Q235.581 729.055 241.391 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M525.396 732.759 Q521.785 732.759 519.956 736.323 Q518.151 739.865 518.151 746.995 Q518.151 754.101 519.956 757.666 Q521.785 761.207 525.396 761.207 Q529.03 761.207 530.836 757.666 Q532.665 754.101 532.665 746.995 Q532.665 739.865 530.836 736.323 Q529.03 732.759 525.396 732.759 M525.396 729.055 Q531.206 729.055 534.262 733.661 Q537.341 738.245 537.341 746.995 Q537.341 755.721 534.262 760.328 Q531.206 764.911 525.396 764.911 Q519.586 764.911 516.507 760.328 Q513.452 755.721 513.452 746.995 Q513.452 738.245 516.507 733.661 Q519.586 729.055 525.396 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M542.41 758.36 L547.294 758.36 L547.294 764.24 L542.41 764.24 L542.41 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M553.174 760.305 L560.813 760.305 L560.813 733.939 L552.502 735.606 L552.502 731.347 L560.766 729.68 L565.442 729.68 L565.442 760.305 L573.081 760.305 L573.081 764.24 L553.174 764.24 L553.174 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M845.94 732.759 Q842.329 732.759 840.5 736.323 Q838.695 739.865 838.695 746.995 Q838.695 754.101 840.5 757.666 Q842.329 761.207 845.94 761.207 Q849.574 761.207 851.38 757.666 Q853.209 754.101 853.209 746.995 Q853.209 739.865 851.38 736.323 Q849.574 732.759 845.94 732.759 M845.94 729.055 Q851.75 729.055 854.806 733.661 Q857.885 738.245 857.885 746.995 Q857.885 755.721 854.806 760.328 Q851.75 764.911 845.94 764.911 Q840.13 764.911 837.051 760.328 Q833.996 755.721 833.996 746.995 Q833.996 738.245 837.051 733.661 Q840.13 729.055 845.94 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M862.954 758.36 L867.838 758.36 L867.838 764.24 L862.954 764.24 L862.954 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M876.935 760.305 L893.255 760.305 L893.255 764.24 L871.31 764.24 L871.31 760.305 Q873.972 757.55 878.556 752.92 Q883.162 748.268 884.343 746.925 Q886.588 744.402 887.468 742.666 Q888.371 740.907 888.371 739.217 Q888.371 736.462 886.426 734.726 Q884.505 732.99 881.403 732.99 Q879.204 732.99 876.75 733.754 Q874.32 734.518 871.542 736.069 L871.542 731.347 Q874.366 730.212 876.82 729.634 Q879.273 729.055 881.31 729.055 Q886.681 729.055 889.875 731.74 Q893.07 734.425 893.07 738.916 Q893.07 741.046 892.259 742.967 Q891.472 744.865 889.366 747.458 Q888.787 748.129 885.685 751.346 Q882.584 754.541 876.935 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1165.82 732.759 Q1162.21 732.759 1160.38 736.323 Q1158.58 739.865 1158.58 746.995 Q1158.58 754.101 1160.38 757.666 Q1162.21 761.207 1165.82 761.207 Q1169.46 761.207 1171.26 757.666 Q1173.09 754.101 1173.09 746.995 Q1173.09 739.865 1171.26 736.323 Q1169.46 732.759 1165.82 732.759 M1165.82 729.055 Q1171.63 729.055 1174.69 733.661 Q1177.77 738.245 1177.77 746.995 Q1177.77 755.721 1174.69 760.328 Q1171.63 764.911 1165.82 764.911 Q1160.01 764.911 1156.94 760.328 Q1153.88 755.721 1153.88 746.995 Q1153.88 738.245 1156.94 733.661 Q1160.01 729.055 1165.82 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1182.84 758.36 L1187.72 758.36 L1187.72 764.24 L1182.84 764.24 L1182.84 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1206.96 745.606 Q1210.32 746.323 1212.19 748.592 Q1214.09 750.86 1214.09 754.194 Q1214.09 759.309 1210.57 762.11 Q1207.05 764.911 1200.57 764.911 Q1198.39 764.911 1196.08 764.471 Q1193.79 764.055 1191.33 763.198 L1191.33 758.684 Q1193.28 759.819 1195.59 760.397 Q1197.91 760.976 1200.43 760.976 Q1204.83 760.976 1207.12 759.24 Q1209.44 757.504 1209.44 754.194 Q1209.44 751.138 1207.28 749.425 Q1205.15 747.689 1201.33 747.689 L1197.31 747.689 L1197.31 743.846 L1201.52 743.846 Q1204.97 743.846 1206.8 742.481 Q1208.63 741.092 1208.63 738.499 Q1208.63 735.837 1206.73 734.425 Q1204.85 732.99 1201.33 732.99 Q1199.41 732.99 1197.21 733.407 Q1195.01 733.823 1192.38 734.703 L1192.38 730.536 Q1195.04 729.796 1197.35 729.425 Q1199.69 729.055 1201.75 729.055 Q1207.07 729.055 1210.18 731.485 Q1213.28 733.893 1213.28 738.013 Q1213.28 740.884 1211.63 742.874 Q1209.99 744.842 1206.96 745.606 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1485.62 732.759 Q1482.01 732.759 1480.18 736.323 Q1478.37 739.865 1478.37 746.995 Q1478.37 754.101 1480.18 757.666 Q1482.01 761.207 1485.62 761.207 Q1489.25 761.207 1491.06 757.666 Q1492.88 754.101 1492.88 746.995 Q1492.88 739.865 1491.06 736.323 Q1489.25 732.759 1485.62 732.759 M1485.62 729.055 Q1491.43 729.055 1494.48 733.661 Q1497.56 738.245 1497.56 746.995 Q1497.56 755.721 1494.48 760.328 Q1491.43 764.911 1485.62 764.911 Q1479.81 764.911 1476.73 760.328 Q1473.67 755.721 1473.67 746.995 Q1473.67 738.245 1476.73 733.661 Q1479.81 729.055 1485.62 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1502.63 758.36 L1507.51 758.36 L1507.51 764.24 L1502.63 764.24 L1502.63 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1525.43 733.754 L1513.63 752.203 L1525.43 752.203 L1525.43 733.754 M1524.2 729.68 L1530.08 729.68 L1530.08 752.203 L1535.01 752.203 L1535.01 756.092 L1530.08 756.092 L1530.08 764.24 L1525.43 764.24 L1525.43 756.092 L1509.83 756.092 L1509.83 751.578 L1524.2 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1806.72 732.759 Q1803.1 732.759 1801.28 736.323 Q1799.47 739.865 1799.47 746.995 Q1799.47 754.101 1801.28 757.666 Q1803.1 761.207 1806.72 761.207 Q1810.35 761.207 1812.16 757.666 Q1813.98 754.101 1813.98 746.995 Q1813.98 739.865 1812.16 736.323 Q1810.35 732.759 1806.72 732.759 M1806.72 729.055 Q1812.53 729.055 1815.58 733.661 Q1818.66 738.245 1818.66 746.995 Q1818.66 755.721 1815.58 760.328 Q1812.53 764.911 1806.72 764.911 Q1800.91 764.911 1797.83 760.328 Q1794.77 755.721 1794.77 746.995 Q1794.77 738.245 1797.83 733.661 Q1800.91 729.055 1806.72 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1823.73 758.36 L1828.61 758.36 L1828.61 764.24 L1823.73 764.24 L1823.73 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1833.73 729.68 L1852.09 729.68 L1852.09 733.615 L1838.01 733.615 L1838.01 742.087 Q1839.03 741.74 1840.05 741.578 Q1841.07 741.393 1842.09 741.393 Q1847.87 741.393 1851.25 744.564 Q1854.63 747.735 1854.63 753.152 Q1854.63 758.731 1851.16 761.832 Q1847.69 764.911 1841.37 764.911 Q1839.19 764.911 1836.92 764.541 Q1834.68 764.17 1832.27 763.43 L1832.27 758.731 Q1834.35 759.865 1836.58 760.42 Q1838.8 760.976 1841.28 760.976 Q1845.28 760.976 1847.62 758.87 Q1849.96 756.763 1849.96 753.152 Q1849.96 749.541 1847.62 747.434 Q1845.28 745.328 1841.28 745.328 Q1839.4 745.328 1837.53 745.745 Q1835.67 746.161 1833.73 747.041 L1833.73 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  174.854,678.931 1872.76,678.931 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  174.854,542.593 1872.76,542.593 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  174.854,406.256 1872.76,406.256 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  174.854,269.918 1872.76,269.918 \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  174.854,133.58 1872.76,133.58 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,707.408 174.854,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,678.931 195.228,678.931 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,542.593 195.228,542.593 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,406.256 195.228,406.256 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,269.918 195.228,269.918 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  174.854,133.58 195.228,133.58 \n  \"/>\n<path clip-path=\"url(#clip270)\" d=\"M 0 0 M53.6236 679.383 L83.2994 679.383 L83.2994 683.318 L53.6236 683.318 L53.6236 679.383 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M89.179 692.276 L96.8178 692.276 L96.8178 665.91 L88.5077 667.577 L88.5077 663.318 L96.7715 661.651 L101.447 661.651 L101.447 692.276 L109.086 692.276 L109.086 696.211 L89.179 696.211 L89.179 692.276 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M114.156 690.332 L119.04 690.332 L119.04 696.211 L114.156 696.211 L114.156 690.332 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M134.109 664.73 Q130.498 664.73 128.67 668.295 Q126.864 671.836 126.864 678.966 Q126.864 686.072 128.67 689.637 Q130.498 693.179 134.109 693.179 Q137.744 693.179 139.549 689.637 Q141.378 686.072 141.378 678.966 Q141.378 671.836 139.549 668.295 Q137.744 664.73 134.109 664.73 M134.109 661.026 Q139.919 661.026 142.975 665.633 Q146.054 670.216 146.054 678.966 Q146.054 687.693 142.975 692.299 Q139.919 696.883 134.109 696.883 Q128.299 696.883 125.22 692.299 Q122.165 687.693 122.165 678.966 Q122.165 670.216 125.22 665.633 Q128.299 661.026 134.109 661.026 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M53.3921 543.045 L83.0679 543.045 L83.0679 546.98 L53.3921 546.98 L53.3921 543.045 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M98.1373 528.392 Q94.5262 528.392 92.6975 531.957 Q90.8919 535.499 90.8919 542.628 Q90.8919 549.735 92.6975 553.299 Q94.5262 556.841 98.1373 556.841 Q101.771 556.841 103.577 553.299 Q105.406 549.735 105.406 542.628 Q105.406 535.499 103.577 531.957 Q101.771 528.392 98.1373 528.392 M98.1373 524.688 Q103.947 524.688 107.003 529.295 Q110.082 533.878 110.082 542.628 Q110.082 551.355 107.003 555.961 Q103.947 560.545 98.1373 560.545 Q92.3271 560.545 89.2484 555.961 Q86.1929 551.355 86.1929 542.628 Q86.1929 533.878 89.2484 529.295 Q92.3271 524.688 98.1373 524.688 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M115.151 553.994 L120.035 553.994 L120.035 559.873 L115.151 559.873 L115.151 553.994 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M125.151 525.313 L143.507 525.313 L143.507 529.249 L129.433 529.249 L129.433 537.721 Q130.452 537.374 131.47 537.212 Q132.489 537.026 133.507 537.026 Q139.294 537.026 142.674 540.198 Q146.054 543.369 146.054 548.786 Q146.054 554.364 142.581 557.466 Q139.109 560.545 132.79 560.545 Q130.614 560.545 128.345 560.174 Q126.1 559.804 123.693 559.063 L123.693 554.364 Q125.776 555.499 127.998 556.054 Q130.22 556.61 132.697 556.61 Q136.702 556.61 139.04 554.503 Q141.378 552.397 141.378 548.786 Q141.378 545.174 139.04 543.068 Q136.702 540.962 132.697 540.962 Q130.822 540.962 128.947 541.378 Q127.095 541.795 125.151 542.674 L125.151 525.313 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M97.1419 392.054 Q93.5308 392.054 91.7021 395.619 Q89.8966 399.161 89.8966 406.29 Q89.8966 413.397 91.7021 416.962 Q93.5308 420.503 97.1419 420.503 Q100.776 420.503 102.582 416.962 Q104.41 413.397 104.41 406.29 Q104.41 399.161 102.582 395.619 Q100.776 392.054 97.1419 392.054 M97.1419 388.351 Q102.952 388.351 106.008 392.957 Q109.086 397.54 109.086 406.29 Q109.086 415.017 106.008 419.624 Q102.952 424.207 97.1419 424.207 Q91.3317 424.207 88.2531 419.624 Q85.1975 415.017 85.1975 406.29 Q85.1975 397.54 88.2531 392.957 Q91.3317 388.351 97.1419 388.351 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M114.156 417.656 L119.04 417.656 L119.04 423.536 L114.156 423.536 L114.156 417.656 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M134.109 392.054 Q130.498 392.054 128.67 395.619 Q126.864 399.161 126.864 406.29 Q126.864 413.397 128.67 416.962 Q130.498 420.503 134.109 420.503 Q137.744 420.503 139.549 416.962 Q141.378 413.397 141.378 406.29 Q141.378 399.161 139.549 395.619 Q137.744 392.054 134.109 392.054 M134.109 388.351 Q139.919 388.351 142.975 392.957 Q146.054 397.54 146.054 406.29 Q146.054 415.017 142.975 419.624 Q139.919 424.207 134.109 424.207 Q128.299 424.207 125.22 419.624 Q122.165 415.017 122.165 406.29 Q122.165 397.54 125.22 392.957 Q128.299 388.351 134.109 388.351 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M98.1373 255.717 Q94.5262 255.717 92.6975 259.281 Q90.8919 262.823 90.8919 269.953 Q90.8919 277.059 92.6975 280.624 Q94.5262 284.166 98.1373 284.166 Q101.771 284.166 103.577 280.624 Q105.406 277.059 105.406 269.953 Q105.406 262.823 103.577 259.281 Q101.771 255.717 98.1373 255.717 M98.1373 252.013 Q103.947 252.013 107.003 256.619 Q110.082 261.203 110.082 269.953 Q110.082 278.679 107.003 283.286 Q103.947 287.869 98.1373 287.869 Q92.3271 287.869 89.2484 283.286 Q86.1929 278.679 86.1929 269.953 Q86.1929 261.203 89.2484 256.619 Q92.3271 252.013 98.1373 252.013 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M115.151 281.318 L120.035 281.318 L120.035 287.198 L115.151 287.198 L115.151 281.318 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M125.151 252.638 L143.507 252.638 L143.507 256.573 L129.433 256.573 L129.433 265.045 Q130.452 264.698 131.47 264.536 Q132.489 264.351 133.507 264.351 Q139.294 264.351 142.674 267.522 Q146.054 270.693 146.054 276.11 Q146.054 281.689 142.581 284.791 Q139.109 287.869 132.79 287.869 Q130.614 287.869 128.345 287.499 Q126.1 287.128 123.693 286.388 L123.693 281.689 Q125.776 282.823 127.998 283.378 Q130.22 283.934 132.697 283.934 Q136.702 283.934 139.04 281.828 Q141.378 279.721 141.378 276.11 Q141.378 272.499 139.04 270.392 Q136.702 268.286 132.697 268.286 Q130.822 268.286 128.947 268.703 Q127.095 269.119 125.151 269.999 L125.151 252.638 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M89.179 146.925 L96.8178 146.925 L96.8178 120.559 L88.5077 122.226 L88.5077 117.967 L96.7715 116.3 L101.447 116.3 L101.447 146.925 L109.086 146.925 L109.086 150.86 L89.179 150.86 L89.179 146.925 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M114.156 144.981 L119.04 144.981 L119.04 150.86 L114.156 150.86 L114.156 144.981 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M134.109 119.379 Q130.498 119.379 128.67 122.944 Q126.864 126.485 126.864 133.615 Q126.864 140.721 128.67 144.286 Q130.498 147.828 134.109 147.828 Q137.744 147.828 139.549 144.286 Q141.378 140.721 141.378 133.615 Q141.378 126.485 139.549 122.944 Q137.744 119.379 134.109 119.379 M134.109 115.675 Q139.919 115.675 142.975 120.282 Q146.054 124.865 146.054 133.615 Q146.054 142.342 142.975 146.948 Q139.919 151.531 134.109 151.531 Q128.299 151.531 125.22 146.948 Q122.165 142.342 122.165 133.615 Q122.165 124.865 125.22 120.282 Q128.299 115.675 134.109 115.675 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip272)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  226.111,406.256 229.315,406.259 232.518,406.283 235.722,406.362 238.925,406.56 242.129,406.964 245.333,407.689 248.536,408.872 251.74,410.67 254.943,413.251 \n  258.147,416.79 261.351,421.457 264.554,427.41 267.758,434.778 270.961,443.656 274.165,454.093 277.369,466.083 280.572,479.563 283.776,494.408 286.979,510.437 \n  290.183,527.415 293.386,545.061 296.59,563.056 299.794,581.057 302.997,598.707 306.201,615.643 309.404,631.512 312.608,645.98 315.812,658.737 319.015,669.51 \n  322.219,678.063 325.422,684.205 328.626,687.791 331.83,688.724 335.033,686.951 338.237,682.467 341.44,675.308 344.644,665.55 347.847,653.305 351.051,638.714 \n  354.255,621.949 357.458,603.2 360.662,582.677 363.865,560.603 367.069,537.209 370.273,512.731 373.476,487.406 376.68,461.47 379.883,435.153 383.087,408.677 \n  386.291,382.256 389.494,356.089 392.698,330.365 395.901,305.257 399.105,280.924 402.308,257.508 405.512,235.136 408.716,213.919 411.919,193.951 415.123,175.313 \n  418.326,158.069 421.53,142.269 424.734,127.948 427.937,115.131 431.141,103.829 434.344,94.0411 437.548,85.7572 440.752,78.9577 443.955,73.6142 447.159,69.6908 \n  450.362,67.1449 453.566,65.928 456.77,65.9867 459.973,67.2632 463.177,69.6965 466.38,73.2225 469.584,77.7753 472.787,83.2873 475.991,89.69 479.195,96.9146 \n  482.398,104.892 485.602,113.555 488.805,122.835 492.009,132.666 495.213,142.983 498.416,153.724 501.62,164.827 504.823,176.235 508.027,187.889 511.231,199.737 \n  514.434,211.727 517.638,223.811 520.841,235.942 524.045,248.076 527.248,260.175 530.452,272.198 533.656,284.112 536.859,295.884 540.063,307.484 543.266,318.885 \n  546.47,330.061 549.674,340.991 552.877,351.653 556.081,362.032 559.284,372.11 562.488,381.874 565.692,391.312 568.895,400.415 572.099,409.175 575.302,417.585 \n  578.506,425.64 581.709,433.338 584.913,440.675 588.117,447.652 591.32,454.269 594.524,460.528 597.727,466.431 600.931,471.981 604.135,477.185 607.338,482.045 \n  610.542,486.569 613.745,490.763 616.949,494.635 620.153,498.19 623.356,501.439 626.56,504.388 629.763,507.047 632.967,509.425 636.171,511.53 639.374,513.373 \n  642.578,514.962 645.781,516.308 648.985,517.42 652.188,518.307 655.392,518.979 658.596,519.446 661.799,519.718 665.003,519.803 668.206,519.711 671.41,519.452 \n  674.614,519.034 677.817,518.467 681.021,517.758 684.224,516.917 687.428,515.951 690.632,514.87 693.835,513.68 697.039,512.39 700.242,511.006 703.446,509.537 \n  706.649,507.989 709.853,506.368 713.057,504.682 716.26,502.936 719.464,501.136 722.667,499.289 725.871,497.399 729.075,495.473 732.278,493.514 735.482,491.529 \n  738.685,489.521 741.889,487.494 745.093,485.454 748.296,483.403 751.5,481.346 754.703,479.286 757.907,477.227 761.11,475.171 764.314,473.122 767.518,471.082 \n  770.721,469.054 773.925,467.04 777.128,465.042 780.332,463.064 783.536,461.105 786.739,459.17 789.943,457.258 793.146,455.371 796.35,453.512 799.554,451.68 \n  802.757,449.878 805.961,448.106 809.164,446.366 812.368,444.657 815.571,442.981 818.775,441.338 821.979,439.73 825.182,438.155 828.386,436.615 831.589,435.111 \n  834.793,433.641 837.997,432.207 841.2,430.808 844.404,429.444 847.607,428.116 850.811,426.823 854.015,425.565 857.218,424.342 860.422,423.154 863.625,422.001 \n  866.829,420.881 870.033,419.796 873.236,418.744 876.44,417.725 879.643,416.739 882.847,415.785 886.05,414.862 889.254,413.971 892.458,413.111 895.661,412.281 \n  898.865,411.481 902.068,410.71 905.272,409.968 908.476,409.253 911.679,408.567 914.883,407.907 918.086,407.273 921.29,406.665 924.494,406.083 927.697,405.525 \n  930.901,404.99 934.104,404.48 937.308,403.992 940.511,403.526 943.715,403.082 946.919,402.659 950.122,402.257 953.326,401.874 956.529,401.511 959.733,401.166 \n  962.937,400.84 966.14,400.532 969.344,400.24 972.547,399.966 975.751,399.707 978.955,399.464 982.158,399.236 985.362,399.023 988.565,398.824 991.769,398.638 \n  994.972,398.466 998.176,398.306 1001.38,398.159 1004.58,398.023 1007.79,397.899 1010.99,397.786 1014.19,397.683 1017.4,397.591 1020.6,397.508 1023.8,397.435 \n  1027.01,397.371 1030.21,397.315 1033.42,397.268 1036.62,397.229 1039.82,397.197 1043.03,397.173 1046.23,397.155 1049.43,397.144 1052.64,397.14 1055.84,397.142 \n  1059.04,397.149 1062.25,397.162 1065.45,397.181 1068.66,397.204 1071.86,397.232 1075.06,397.264 1078.27,397.301 1081.47,397.342 1084.67,397.387 1087.88,397.435 \n  1091.08,397.487 1094.28,397.542 1097.49,397.6 1100.69,397.661 1103.89,397.725 1107.1,397.791 1110.3,397.859 1113.51,397.93 1116.71,398.003 1119.91,398.077 \n  1123.12,398.154 1126.32,398.231 1129.52,398.311 1132.73,398.392 1135.93,398.474 1139.13,398.557 1142.34,398.641 1145.54,398.726 1148.74,398.812 1151.95,398.898 \n  1155.15,398.985 1158.36,399.073 1161.56,399.161 1164.76,399.249 1167.97,399.338 1171.17,399.427 1174.37,399.516 1177.58,399.605 1180.78,399.694 1183.98,399.783 \n  1187.19,399.872 1190.39,399.96 1193.6,400.049 1196.8,400.137 1200,400.225 1203.21,400.312 1206.41,400.399 1209.61,400.486 1212.82,400.572 1216.02,400.658 \n  1219.22,400.743 1222.43,400.827 1225.63,400.911 1228.83,400.994 1232.04,401.077 1235.24,401.159 1238.45,401.24 1241.65,401.32 1244.85,401.4 1248.06,401.479 \n  1251.26,401.557 1254.46,401.634 1257.67,401.711 1260.87,401.787 1264.07,401.861 1267.28,401.935 1270.48,402.009 1273.68,402.081 1276.89,402.152 1280.09,402.223 \n  1283.3,402.293 1286.5,402.361 1289.7,402.429 1292.91,402.496 1296.11,402.562 1299.31,402.628 1302.52,402.692 1305.72,402.756 1308.92,402.818 1312.13,402.88 \n  1315.33,402.941 1318.53,403.001 1321.74,403.06 1324.94,403.118 1328.15,403.175 1331.35,403.232 1334.55,403.288 1337.76,403.342 1340.96,403.396 1344.16,403.449 \n  1347.37,403.502 1350.57,403.553 1353.77,403.604 1356.98,403.654 1360.18,403.703 1363.39,403.751 1366.59,403.798 1369.79,403.845 1373,403.891 1376.2,403.936 \n  1379.4,403.98 1382.61,404.024 1385.81,404.067 1389.01,404.109 1392.22,404.15 1395.42,404.191 1398.62,404.231 1401.83,404.27 1405.03,404.309 1408.24,404.347 \n  1411.44,404.384 1414.64,404.42 1417.85,404.456 1421.05,404.492 1424.25,404.526 1427.46,404.56 1430.66,404.594 1433.86,404.627 1437.07,404.659 1440.27,404.69 \n  1443.47,404.721 1446.68,404.752 1449.88,404.782 1453.09,404.811 1456.29,404.84 1459.49,404.868 1462.7,404.896 1465.9,404.923 1469.1,404.95 1472.31,404.976 \n  1475.51,405.002 1478.71,405.027 1481.92,405.052 1485.12,405.076 1488.33,405.1 1491.53,405.123 1494.73,405.146 1497.94,405.168 1501.14,405.19 1504.34,405.212 \n  1507.55,405.233 1510.75,405.254 1513.95,405.274 1517.16,405.294 1520.36,405.314 1523.56,405.333 1526.77,405.352 1529.97,405.37 1533.18,405.388 1536.38,405.406 \n  1539.58,405.423 1542.79,405.44 1545.99,405.457 1549.19,405.473 1552.4,405.489 1555.6,405.505 1558.8,405.52 1562.01,405.535 1565.21,405.55 1568.41,405.564 \n  1571.62,405.579 1574.82,405.593 1578.03,405.606 1581.23,405.62 1584.43,405.633 1587.64,405.645 1590.84,405.658 1594.04,405.67 1597.25,405.682 1600.45,405.694 \n  1603.65,405.706 1606.86,405.717 1610.06,405.728 1613.27,405.739 1616.47,405.75 1619.67,405.76 1622.88,405.77 1626.08,405.78 1629.28,405.79 1632.49,405.8 \n  1635.69,405.809 1638.89,405.818 1642.1,405.827 1645.3,405.836 1648.5,405.845 1651.71,405.853 1654.91,405.862 1658.12,405.87 1661.32,405.878 1664.52,405.886 \n  1667.73,405.893 1670.93,405.901 1674.13,405.908 1677.34,405.915 1680.54,405.922 1683.74,405.929 1686.95,405.936 1690.15,405.942 1693.35,405.949 1696.56,405.955 \n  1699.76,405.961 1702.97,405.967 1706.17,405.973 1709.37,405.979 1712.58,405.985 1715.78,405.991 1718.98,405.996 1722.19,406.001 1725.39,406.007 1728.59,406.012 \n  1731.8,406.017 1735,406.022 1738.21,406.026 1741.41,406.031 1744.61,406.036 1747.82,406.04 1751.02,406.045 1754.22,406.049 1757.43,406.053 1760.63,406.058 \n  1763.83,406.062 1767.04,406.066 1770.24,406.07 1773.44,406.073 1776.65,406.077 1779.85,406.081 1783.06,406.084 1786.26,406.088 1789.46,406.091 1792.67,406.095 \n  1795.87,406.098 1799.07,406.101 1802.28,406.104 1805.48,406.107 1808.68,406.111 1811.89,406.113 1815.09,406.116 1818.29,406.119 1821.5,406.122 1824.7,406.125 \n  \n  \"/>\n<polyline clip-path=\"url(#clip272)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  222.908,406.256 226.111,406.255 229.315,406.242 232.518,406.187 235.722,406.044 238.925,405.763 242.129,405.292 245.333,404.585 248.536,403.606 251.74,402.329 \n  254.943,400.74 258.147,398.836 261.351,396.628 264.554,394.135 267.758,391.388 270.961,388.424 274.165,385.288 277.369,382.028 280.572,378.696 283.776,375.346 \n  286.979,372.032 290.183,368.806 293.386,365.719 296.59,362.821 299.794,360.155 302.997,357.761 306.201,355.676 309.404,353.929 312.608,352.546 315.812,351.547 \n  319.015,350.947 322.219,350.755 325.422,350.976 328.626,351.609 331.83,352.651 335.033,354.092 338.237,355.919 341.44,358.117 344.644,360.666 347.847,363.545 \n  351.051,366.729 354.255,370.193 357.458,373.909 360.662,377.849 363.865,381.983 367.069,386.282 370.273,390.715 373.476,395.252 376.68,399.865 379.883,404.524 \n  383.087,409.201 386.291,413.869 389.494,418.502 392.698,423.075 395.901,427.564 399.105,431.949 402.308,436.209 405.512,440.324 408.716,444.279 411.919,448.057 \n  415.123,451.646 418.326,455.032 421.53,458.207 424.734,461.16 427.937,463.885 431.141,466.376 434.344,468.629 437.548,470.642 440.752,472.413 443.955,473.941 \n  447.159,475.228 450.362,476.276 453.566,477.089 456.77,477.67 459.973,478.024 463.177,478.158 466.38,478.078 469.584,477.792 472.787,477.306 475.991,476.63 \n  479.195,475.772 482.398,474.742 485.602,473.548 488.805,472.2 492.009,470.708 495.213,469.083 498.416,467.333 501.62,465.469 504.823,463.501 508.027,461.439 \n  511.231,459.293 514.434,457.071 517.638,454.784 520.841,452.441 524.045,450.051 527.248,447.622 530.452,445.163 533.656,442.682 536.859,440.187 540.063,437.685 \n  543.266,435.183 546.47,432.689 549.674,430.208 552.877,427.748 556.081,425.313 559.284,422.908 562.488,420.54 565.692,418.212 568.895,415.93 572.099,413.696 \n  575.302,411.514 578.506,409.389 581.709,407.322 584.913,405.317 588.117,403.375 591.32,401.499 594.524,399.691 597.727,397.952 600.931,396.283 604.135,394.685 \n  607.338,393.159 610.542,391.706 613.745,390.325 616.949,389.017 620.153,387.782 623.356,386.619 626.56,385.527 629.763,384.507 632.967,383.558 636.171,382.678 \n  639.374,381.866 642.578,381.121 645.781,380.443 648.985,379.829 652.188,379.278 655.392,378.788 658.596,378.358 661.799,377.987 665.003,377.672 668.206,377.411 \n  671.41,377.204 674.614,377.047 677.817,376.94 681.021,376.88 684.224,376.865 687.428,376.894 690.632,376.964 693.835,377.074 697.039,377.221 700.242,377.405 \n  703.446,377.622 706.649,377.871 709.853,378.151 713.057,378.459 716.26,378.794 719.464,379.154 722.667,379.537 725.871,379.942 729.075,380.367 732.278,380.81 \n  735.482,381.271 738.685,381.746 741.889,382.236 745.093,382.738 748.296,383.252 751.5,383.775 754.703,384.307 757.907,384.847 761.11,385.392 764.314,385.943 \n  767.518,386.498 770.721,387.056 773.925,387.615 777.128,388.176 780.332,388.737 783.536,389.298 786.739,389.857 789.943,390.414 793.146,390.968 796.35,391.518 \n  799.554,392.064 802.757,392.605 805.961,393.141 809.164,393.67 812.368,394.194 815.571,394.71 818.775,395.219 821.979,395.721 825.182,396.214 828.386,396.699 \n  831.589,397.175 834.793,397.643 837.997,398.101 841.2,398.55 844.404,398.99 847.607,399.42 850.811,399.84 854.015,400.25 857.218,400.65 860.422,401.04 \n  863.625,401.419 866.829,401.789 870.033,402.149 873.236,402.498 876.44,402.837 879.643,403.166 882.847,403.485 886.05,403.793 889.254,404.092 892.458,404.381 \n  895.661,404.66 898.865,404.93 902.068,405.19 905.272,405.44 908.476,405.681 911.679,405.913 914.883,406.136 918.086,406.35 921.29,406.555 924.494,406.752 \n  927.697,406.94 930.901,407.12 934.104,407.291 937.308,407.455 940.511,407.611 943.715,407.76 946.919,407.901 950.122,408.035 953.326,408.161 956.529,408.281 \n  959.733,408.395 962.937,408.501 966.14,408.602 969.344,408.696 972.547,408.784 975.751,408.867 978.955,408.944 982.158,409.015 985.362,409.081 988.565,409.142 \n  991.769,409.198 994.972,409.249 998.176,409.296 1001.38,409.338 1004.58,409.376 1007.79,409.41 1010.99,409.44 1014.19,409.466 1017.4,409.488 1020.6,409.507 \n  1023.8,409.523 1027.01,409.535 1030.21,409.544 1033.42,409.55 1036.62,409.553 1039.82,409.554 1043.03,409.552 1046.23,409.547 1049.43,409.54 1052.64,409.531 \n  1055.84,409.52 1059.04,409.506 1062.25,409.491 1065.45,409.474 1068.66,409.455 1071.86,409.435 1075.06,409.413 1078.27,409.39 1081.47,409.365 1084.67,409.339 \n  1087.88,409.312 1091.08,409.284 1094.28,409.254 1097.49,409.224 1100.69,409.193 1103.89,409.161 1107.1,409.128 1110.3,409.095 1113.51,409.061 1116.71,409.027 \n  1119.91,408.992 1123.12,408.956 1126.32,408.92 1129.52,408.884 1132.73,408.847 1135.93,408.811 1139.13,408.774 1142.34,408.737 1145.54,408.699 1148.74,408.662 \n  1151.95,408.624 1155.15,408.587 1158.36,408.55 1161.56,408.512 1164.76,408.475 1167.97,408.438 1171.17,408.4 1174.37,408.363 1177.58,408.327 1180.78,408.29 \n  1183.98,408.254 1187.19,408.218 1190.39,408.182 1193.6,408.146 1196.8,408.111 1200,408.076 1203.21,408.041 1206.41,408.007 1209.61,407.973 1212.82,407.939 \n  1216.02,407.906 1219.22,407.873 1222.43,407.841 1225.63,407.808 1228.83,407.777 1232.04,407.745 1235.24,407.715 1238.45,407.684 1241.65,407.654 1244.85,407.624 \n  1248.06,407.595 1251.26,407.566 1254.46,407.538 1257.67,407.51 1260.87,407.483 1264.07,407.456 1267.28,407.429 1270.48,407.403 1273.68,407.377 1276.89,407.352 \n  1280.09,407.327 1283.3,407.303 1286.5,407.279 1289.7,407.255 1292.91,407.232 1296.11,407.209 1299.31,407.187 1302.52,407.165 1305.72,407.144 1308.92,407.123 \n  1312.13,407.102 1315.33,407.082 1318.53,407.062 1321.74,407.042 1324.94,407.023 1328.15,407.005 1331.35,406.986 1334.55,406.968 1337.76,406.951 1340.96,406.934 \n  1344.16,406.917 1347.37,406.9 1350.57,406.884 1353.77,406.869 1356.98,406.853 1360.18,406.838 1363.39,406.823 1366.59,406.809 1369.79,406.795 1373,406.781 \n  1376.2,406.767 1379.4,406.754 1382.61,406.741 1385.81,406.729 1389.01,406.717 1392.22,406.705 1395.42,406.693 1398.62,406.681 1401.83,406.67 1405.03,406.659 \n  1408.24,406.649 1411.44,406.638 1414.64,406.628 1417.85,406.618 1421.05,406.608 1424.25,406.599 1427.46,406.59 1430.66,406.581 1433.86,406.572 1437.07,406.563 \n  1440.27,406.555 1443.47,406.547 1446.68,406.539 1449.88,406.531 1453.09,406.524 1456.29,406.516 1459.49,406.509 1462.7,406.502 1465.9,406.495 1469.1,406.489 \n  1472.31,406.482 1475.51,406.476 1478.71,406.47 1481.92,406.464 1485.12,406.458 1488.33,406.452 1491.53,406.447 1494.73,406.442 1497.94,406.436 1501.14,406.431 \n  1504.34,406.426 1507.55,406.421 1510.75,406.417 1513.95,406.412 1517.16,406.408 1520.36,406.403 1523.56,406.399 1526.77,406.395 1529.97,406.391 1533.18,406.387 \n  1536.38,406.383 1539.58,406.38 1542.79,406.376 1545.99,406.373 1549.19,406.369 1552.4,406.366 1555.6,406.363 1558.8,406.36 1562.01,406.357 1565.21,406.354 \n  1568.41,406.351 1571.62,406.348 1574.82,406.345 1578.03,406.343 1581.23,406.34 1584.43,406.338 1587.64,406.335 1590.84,406.333 1594.04,406.331 1597.25,406.329 \n  1600.45,406.326 1603.65,406.324 1606.86,406.322 1610.06,406.32 1613.27,406.318 1616.47,406.317 1619.67,406.315 1622.88,406.313 1626.08,406.311 1629.28,406.31 \n  1632.49,406.308 1635.69,406.306 1638.89,406.305 1642.1,406.303 1645.3,406.302 1648.5,406.301 1651.71,406.299 1654.91,406.298 1658.12,406.297 1661.32,406.295 \n  1664.52,406.294 1667.73,406.293 1670.93,406.292 1674.13,406.291 1677.34,406.29 1680.54,406.289 1683.74,406.288 1686.95,406.287 1690.15,406.286 1693.35,406.285 \n  1696.56,406.284 1699.76,406.283 1702.97,406.282 1706.17,406.282 1709.37,406.281 1712.58,406.28 1715.78,406.279 1718.98,406.279 1722.19,406.278 1725.39,406.277 \n  1728.59,406.277 1731.8,406.276 1735,406.275 1738.21,406.275 1741.41,406.274 1744.61,406.274 1747.82,406.273 1751.02,406.272 1754.22,406.272 1757.43,406.271 \n  1760.63,406.271 1763.83,406.27 1767.04,406.27 1770.24,406.27 1773.44,406.269 1776.65,406.269 1779.85,406.268 1783.06,406.268 1786.26,406.268 1789.46,406.267 \n  1792.67,406.267 1795.87,406.266 1799.07,406.266 1802.28,406.266 1805.48,406.266 1808.68,406.265 1811.89,406.265 1815.09,406.265 1818.29,406.264 1821.5,406.264 \n  1824.7,406.264 \n  \"/>\n<path clip-path=\"url(#clip270)\" d=\"\nM1057.46 250.69 L1816.16 250.69 L1816.16 69.2496 L1057.46 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1057.46,250.69 1816.16,250.69 1816.16,69.2496 1057.46,69.2496 1057.46,250.69 \n  \"/>\n<polyline clip-path=\"url(#clip270)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1076.33,129.73 1189.52,129.73 \n  \"/>\n<path clip-path=\"url(#clip270)\" d=\"M 0 0 M1224.22 117.056 L1217.88 134.255 L1230.58 134.255 L1224.22 117.056 M1221.58 112.45 L1226.88 112.45 L1240.05 147.01 L1235.19 147.01 L1232.04 138.144 L1216.46 138.144 L1213.32 147.01 L1208.38 147.01 L1221.58 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1263.13 134.07 Q1263.13 129.371 1261.19 126.709 Q1259.26 124.024 1255.88 124.024 Q1252.5 124.024 1250.56 126.709 Q1248.64 129.371 1248.64 134.07 Q1248.64 138.769 1250.56 141.454 Q1252.5 144.116 1255.88 144.116 Q1259.26 144.116 1261.19 141.454 Q1263.13 138.769 1263.13 134.07 M1248.64 125.019 Q1249.98 122.704 1252.02 121.593 Q1254.08 120.459 1256.93 120.459 Q1261.65 120.459 1264.59 124.209 Q1267.55 127.959 1267.55 134.07 Q1267.55 140.181 1264.59 143.931 Q1261.65 147.681 1256.93 147.681 Q1254.08 147.681 1252.02 146.57 Q1249.98 145.435 1248.64 143.121 L1248.64 147.01 L1244.36 147.01 L1244.36 110.991 L1248.64 110.991 L1248.64 125.019 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1288.55 121.848 L1288.55 125.875 Q1286.74 124.949 1284.8 124.487 Q1282.85 124.024 1280.77 124.024 Q1277.6 124.024 1276 124.996 Q1274.43 125.968 1274.43 127.912 Q1274.43 129.394 1275.56 130.25 Q1276.69 131.084 1280.12 131.848 L1281.58 132.172 Q1286.12 133.144 1288.01 134.926 Q1289.94 136.686 1289.94 139.857 Q1289.94 143.468 1287.06 145.574 Q1284.22 147.681 1279.22 147.681 Q1277.13 147.681 1274.87 147.264 Q1272.62 146.871 1270.12 146.06 L1270.12 141.662 Q1272.48 142.889 1274.77 143.514 Q1277.06 144.116 1279.31 144.116 Q1282.32 144.116 1283.94 143.098 Q1285.56 142.056 1285.56 140.181 Q1285.56 138.445 1284.38 137.519 Q1283.22 136.593 1279.26 135.736 L1277.78 135.389 Q1273.82 134.556 1272.06 132.843 Q1270.31 131.107 1270.31 128.098 Q1270.31 124.44 1272.9 122.45 Q1275.49 120.459 1280.26 120.459 Q1282.62 120.459 1284.7 120.806 Q1286.79 121.153 1288.55 121.848 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1304.45 124.07 Q1301.02 124.07 1299.03 126.755 Q1297.04 129.417 1297.04 134.07 Q1297.04 138.723 1299.01 141.408 Q1301 144.07 1304.45 144.07 Q1307.85 144.07 1309.84 141.385 Q1311.83 138.699 1311.83 134.07 Q1311.83 129.463 1309.84 126.778 Q1307.85 124.07 1304.45 124.07 M1304.45 120.459 Q1310 120.459 1313.18 124.07 Q1316.35 127.681 1316.35 134.07 Q1316.35 140.436 1313.18 144.07 Q1310 147.681 1304.45 147.681 Q1298.87 147.681 1295.7 144.07 Q1292.55 140.436 1292.55 134.07 Q1292.55 127.681 1295.7 124.07 Q1298.87 120.459 1304.45 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1320.81 110.991 L1325.07 110.991 L1325.07 147.01 L1320.81 147.01 L1320.81 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1329.1 136.778 L1329.1 121.084 L1333.36 121.084 L1333.36 136.616 Q1333.36 140.297 1334.8 142.148 Q1336.23 143.977 1339.1 143.977 Q1342.55 143.977 1344.54 141.778 Q1346.56 139.579 1346.56 135.783 L1346.56 121.084 L1350.81 121.084 L1350.81 147.01 L1346.56 147.01 L1346.56 143.028 Q1345 145.389 1342.94 146.547 Q1340.91 147.681 1338.2 147.681 Q1333.73 147.681 1331.42 144.903 Q1329.1 142.125 1329.1 136.778 M1339.82 120.459 L1339.82 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1359.5 113.723 L1359.5 121.084 L1368.27 121.084 L1368.27 124.394 L1359.5 124.394 L1359.5 138.468 Q1359.5 141.639 1360.35 142.542 Q1361.23 143.445 1363.89 143.445 L1368.27 143.445 L1368.27 147.01 L1363.89 147.01 Q1358.96 147.01 1357.09 145.181 Q1355.21 143.329 1355.21 138.468 L1355.21 124.394 L1352.09 124.394 L1352.09 121.084 L1355.21 121.084 L1355.21 113.723 L1359.5 113.723 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1394.91 132.982 L1394.91 135.065 L1375.33 135.065 Q1375.61 139.463 1377.97 141.778 Q1380.35 144.07 1384.59 144.07 Q1387.04 144.07 1389.33 143.468 Q1391.65 142.866 1393.92 141.662 L1393.92 145.69 Q1391.62 146.662 1389.22 147.172 Q1386.81 147.681 1384.33 147.681 Q1378.13 147.681 1374.49 144.07 Q1370.88 140.459 1370.88 134.301 Q1370.88 127.936 1374.31 124.209 Q1377.76 120.459 1383.59 120.459 Q1388.82 120.459 1391.86 123.838 Q1394.91 127.195 1394.91 132.982 M1390.65 131.732 Q1390.61 128.237 1388.68 126.153 Q1386.79 124.07 1383.64 124.07 Q1380.07 124.07 1377.92 126.084 Q1375.79 128.098 1375.47 131.755 L1390.65 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1436.62 132.982 L1436.62 135.065 L1417.04 135.065 Q1417.32 139.463 1419.68 141.778 Q1422.06 144.07 1426.3 144.07 Q1428.75 144.07 1431.05 143.468 Q1433.36 142.866 1435.63 141.662 L1435.63 145.69 Q1433.34 146.662 1430.93 147.172 Q1428.52 147.681 1426.05 147.681 Q1419.84 147.681 1416.21 144.07 Q1412.6 140.459 1412.6 134.301 Q1412.6 127.936 1416.02 124.209 Q1419.47 120.459 1425.3 120.459 Q1430.54 120.459 1433.57 123.838 Q1436.62 127.195 1436.62 132.982 M1432.37 131.732 Q1432.32 128.237 1430.4 126.153 Q1428.5 124.07 1425.35 124.07 Q1421.79 124.07 1419.63 126.084 Q1417.5 128.098 1417.18 131.755 L1432.37 131.732 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1456.11 125.065 Q1455.4 124.649 1454.54 124.463 Q1453.71 124.255 1452.69 124.255 Q1449.08 124.255 1447.13 126.616 Q1445.21 128.954 1445.21 133.352 L1445.21 147.01 L1440.93 147.01 L1440.93 121.084 L1445.21 121.084 L1445.21 125.112 Q1446.55 122.75 1448.71 121.616 Q1450.86 120.459 1453.94 120.459 Q1454.38 120.459 1454.91 120.528 Q1455.44 120.575 1456.09 120.69 L1456.11 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1474.77 125.065 Q1474.05 124.649 1473.2 124.463 Q1472.36 124.255 1471.35 124.255 Q1467.74 124.255 1465.79 126.616 Q1463.87 128.954 1463.87 133.352 L1463.87 147.01 L1459.59 147.01 L1459.59 121.084 L1463.87 121.084 L1463.87 125.112 Q1465.21 122.75 1467.36 121.616 Q1469.52 120.459 1472.6 120.459 Q1473.04 120.459 1473.57 120.528 Q1474.1 120.575 1474.75 120.69 L1474.77 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1488.24 124.07 Q1484.82 124.07 1482.83 126.755 Q1480.84 129.417 1480.84 134.07 Q1480.84 138.723 1482.8 141.408 Q1484.8 144.07 1488.24 144.07 Q1491.65 144.07 1493.64 141.385 Q1495.63 138.699 1495.63 134.07 Q1495.63 129.463 1493.64 126.778 Q1491.65 124.07 1488.24 124.07 M1488.24 120.459 Q1493.8 120.459 1496.97 124.07 Q1500.14 127.681 1500.14 134.07 Q1500.14 140.436 1496.97 144.07 Q1493.8 147.681 1488.24 147.681 Q1482.67 147.681 1479.49 144.07 Q1476.35 140.436 1476.35 134.07 Q1476.35 127.681 1479.49 124.07 Q1482.67 120.459 1488.24 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1519.63 125.065 Q1518.92 124.649 1518.06 124.463 Q1517.23 124.255 1516.21 124.255 Q1512.6 124.255 1510.65 126.616 Q1508.73 128.954 1508.73 133.352 L1508.73 147.01 L1504.45 147.01 L1504.45 121.084 L1508.73 121.084 L1508.73 125.112 Q1510.07 122.75 1512.23 121.616 Q1514.38 120.459 1517.46 120.459 Q1517.9 120.459 1518.43 120.528 Q1518.96 120.575 1519.61 120.69 L1519.63 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1549.4 111.038 Q1546.3 116.362 1544.79 121.57 Q1543.29 126.778 1543.29 132.125 Q1543.29 137.473 1544.79 142.727 Q1546.32 147.959 1549.4 153.26 L1545.7 153.26 Q1542.23 147.82 1540.49 142.565 Q1538.78 137.311 1538.78 132.125 Q1538.78 126.963 1540.49 121.732 Q1542.2 116.5 1545.7 111.038 L1549.4 111.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1554.05 112.45 L1558.73 112.45 L1558.73 143.074 L1575.56 143.074 L1575.56 147.01 L1554.05 147.01 L1554.05 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1589.24 124.07 Q1585.81 124.07 1583.82 126.755 Q1581.83 129.417 1581.83 134.07 Q1581.83 138.723 1583.8 141.408 Q1585.79 144.07 1589.24 144.07 Q1592.64 144.07 1594.63 141.385 Q1596.62 138.699 1596.62 134.07 Q1596.62 129.463 1594.63 126.778 Q1592.64 124.07 1589.24 124.07 M1589.24 120.459 Q1594.79 120.459 1597.97 124.07 Q1601.14 127.681 1601.14 134.07 Q1601.14 140.436 1597.97 144.07 Q1594.79 147.681 1589.24 147.681 Q1583.66 147.681 1580.49 144.07 Q1577.34 140.436 1577.34 134.07 Q1577.34 127.681 1580.49 124.07 Q1583.66 120.459 1589.24 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1622.66 133.746 Q1622.66 129.116 1620.74 126.57 Q1618.85 124.024 1615.4 124.024 Q1611.97 124.024 1610.05 126.57 Q1608.15 129.116 1608.15 133.746 Q1608.15 138.352 1610.05 140.898 Q1611.97 143.445 1615.4 143.445 Q1618.85 143.445 1620.74 140.898 Q1622.66 138.352 1622.66 133.746 M1626.92 143.792 Q1626.92 150.412 1623.98 153.63 Q1621.04 156.871 1614.98 156.871 Q1612.73 156.871 1610.74 156.523 Q1608.75 156.199 1606.88 155.505 L1606.88 151.361 Q1608.75 152.38 1610.58 152.866 Q1612.41 153.352 1614.31 153.352 Q1618.5 153.352 1620.58 151.153 Q1622.66 148.977 1622.66 144.556 L1622.66 142.449 Q1621.35 144.741 1619.29 145.875 Q1617.23 147.01 1614.35 147.01 Q1609.59 147.01 1606.67 143.375 Q1603.75 139.741 1603.75 133.746 Q1603.75 127.727 1606.67 124.093 Q1609.59 120.459 1614.35 120.459 Q1617.23 120.459 1619.29 121.593 Q1621.35 122.727 1622.66 125.019 L1622.66 121.084 L1626.92 121.084 L1626.92 143.792 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1631.58 112.45 L1637.87 112.45 L1653.2 141.361 L1653.2 112.45 L1657.73 112.45 L1657.73 147.01 L1651.44 147.01 L1636.11 118.098 L1636.11 147.01 L1631.58 147.01 L1631.58 112.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1672.25 124.07 Q1668.82 124.07 1666.83 126.755 Q1664.84 129.417 1664.84 134.07 Q1664.84 138.723 1666.81 141.408 Q1668.8 144.07 1672.25 144.07 Q1675.65 144.07 1677.64 141.385 Q1679.63 138.699 1679.63 134.07 Q1679.63 129.463 1677.64 126.778 Q1675.65 124.07 1672.25 124.07 M1672.25 120.459 Q1677.8 120.459 1680.97 124.07 Q1684.15 127.681 1684.15 134.07 Q1684.15 140.436 1680.97 144.07 Q1677.8 147.681 1672.25 147.681 Q1666.67 147.681 1663.5 144.07 Q1660.35 140.436 1660.35 134.07 Q1660.35 127.681 1663.5 124.07 Q1666.67 120.459 1672.25 120.459 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1703.64 125.065 Q1702.92 124.649 1702.06 124.463 Q1701.23 124.255 1700.21 124.255 Q1696.6 124.255 1694.66 126.616 Q1692.73 128.954 1692.73 133.352 L1692.73 147.01 L1688.45 147.01 L1688.45 121.084 L1692.73 121.084 L1692.73 125.112 Q1694.08 122.75 1696.23 121.616 Q1698.38 120.459 1701.46 120.459 Q1701.9 120.459 1702.43 120.528 Q1702.97 120.575 1703.61 120.69 L1703.64 125.065 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1727.46 126.061 Q1729.05 123.19 1731.28 121.825 Q1733.5 120.459 1736.51 120.459 Q1740.56 120.459 1742.76 123.306 Q1744.96 126.13 1744.96 131.361 L1744.96 147.01 L1740.67 147.01 L1740.67 131.5 Q1740.67 127.774 1739.35 125.968 Q1738.03 124.162 1735.33 124.162 Q1732.02 124.162 1730.09 126.362 Q1728.17 128.561 1728.17 132.357 L1728.17 147.01 L1723.89 147.01 L1723.89 131.5 Q1723.89 127.75 1722.57 125.968 Q1721.25 124.162 1718.5 124.162 Q1715.23 124.162 1713.31 126.385 Q1711.39 128.584 1711.39 132.357 L1711.39 147.01 L1707.11 147.01 L1707.11 121.084 L1711.39 121.084 L1711.39 125.112 Q1712.85 122.727 1714.89 121.593 Q1716.92 120.459 1719.72 120.459 Q1722.55 120.459 1724.52 121.894 Q1726.51 123.329 1727.46 126.061 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1761.21 133.977 Q1756.04 133.977 1754.05 135.158 Q1752.06 136.338 1752.06 139.186 Q1752.06 141.454 1753.54 142.797 Q1755.05 144.116 1757.62 144.116 Q1761.16 144.116 1763.29 141.616 Q1765.44 139.093 1765.44 134.926 L1765.44 133.977 L1761.21 133.977 M1769.7 132.218 L1769.7 147.01 L1765.44 147.01 L1765.44 143.074 Q1763.98 145.435 1761.81 146.57 Q1759.63 147.681 1756.48 147.681 Q1752.5 147.681 1750.14 145.459 Q1747.8 143.213 1747.8 139.463 Q1747.8 135.088 1750.72 132.866 Q1753.66 130.644 1759.47 130.644 L1765.44 130.644 L1765.44 130.227 Q1765.44 127.287 1763.5 125.69 Q1761.58 124.07 1758.08 124.07 Q1755.86 124.07 1753.75 124.602 Q1751.65 125.135 1749.7 126.199 L1749.7 122.264 Q1752.04 121.362 1754.24 120.922 Q1756.44 120.459 1758.52 120.459 Q1764.15 120.459 1766.92 123.375 Q1769.7 126.292 1769.7 132.218 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1774.17 110.991 L1778.43 110.991 L1778.43 147.01 L1774.17 147.01 L1774.17 110.991 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip270)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1076.33,190.21 1189.52,190.21 \n  \"/>\n<path clip-path=\"url(#clip270)\" d=\"M 0 0 M1224.22 177.536 L1217.88 194.735 L1230.58 194.735 L1224.22 177.536 M1221.58 172.93 L1226.88 172.93 L1240.05 207.49 L1235.19 207.49 L1232.04 198.624 L1216.46 198.624 L1213.32 207.49 L1208.38 207.49 L1221.58 172.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1263.13 194.55 Q1263.13 189.851 1261.19 187.189 Q1259.26 184.504 1255.88 184.504 Q1252.5 184.504 1250.56 187.189 Q1248.64 189.851 1248.64 194.55 Q1248.64 199.249 1250.56 201.934 Q1252.5 204.596 1255.88 204.596 Q1259.26 204.596 1261.19 201.934 Q1263.13 199.249 1263.13 194.55 M1248.64 185.499 Q1249.98 183.184 1252.02 182.073 Q1254.08 180.939 1256.93 180.939 Q1261.65 180.939 1264.59 184.689 Q1267.55 188.439 1267.55 194.55 Q1267.55 200.661 1264.59 204.411 Q1261.65 208.161 1256.93 208.161 Q1254.08 208.161 1252.02 207.05 Q1249.98 205.915 1248.64 203.601 L1248.64 207.49 L1244.36 207.49 L1244.36 171.471 L1248.64 171.471 L1248.64 185.499 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1288.55 182.328 L1288.55 186.355 Q1286.74 185.429 1284.8 184.967 Q1282.85 184.504 1280.77 184.504 Q1277.6 184.504 1276 185.476 Q1274.43 186.448 1274.43 188.392 Q1274.43 189.874 1275.56 190.73 Q1276.69 191.564 1280.12 192.328 L1281.58 192.652 Q1286.12 193.624 1288.01 195.406 Q1289.94 197.166 1289.94 200.337 Q1289.94 203.948 1287.06 206.054 Q1284.22 208.161 1279.22 208.161 Q1277.13 208.161 1274.87 207.744 Q1272.62 207.351 1270.12 206.54 L1270.12 202.142 Q1272.48 203.369 1274.77 203.994 Q1277.06 204.596 1279.31 204.596 Q1282.32 204.596 1283.94 203.578 Q1285.56 202.536 1285.56 200.661 Q1285.56 198.925 1284.38 197.999 Q1283.22 197.073 1279.26 196.216 L1277.78 195.869 Q1273.82 195.036 1272.06 193.323 Q1270.31 191.587 1270.31 188.578 Q1270.31 184.92 1272.9 182.93 Q1275.49 180.939 1280.26 180.939 Q1282.62 180.939 1284.7 181.286 Q1286.79 181.633 1288.55 182.328 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1304.45 184.55 Q1301.02 184.55 1299.03 187.235 Q1297.04 189.897 1297.04 194.55 Q1297.04 199.203 1299.01 201.888 Q1301 204.55 1304.45 204.55 Q1307.85 204.55 1309.84 201.865 Q1311.83 199.179 1311.83 194.55 Q1311.83 189.943 1309.84 187.258 Q1307.85 184.55 1304.45 184.55 M1304.45 180.939 Q1310 180.939 1313.18 184.55 Q1316.35 188.161 1316.35 194.55 Q1316.35 200.916 1313.18 204.55 Q1310 208.161 1304.45 208.161 Q1298.87 208.161 1295.7 204.55 Q1292.55 200.916 1292.55 194.55 Q1292.55 188.161 1295.7 184.55 Q1298.87 180.939 1304.45 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1320.81 171.471 L1325.07 171.471 L1325.07 207.49 L1320.81 207.49 L1320.81 171.471 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1329.1 197.258 L1329.1 181.564 L1333.36 181.564 L1333.36 197.096 Q1333.36 200.777 1334.8 202.628 Q1336.23 204.457 1339.1 204.457 Q1342.55 204.457 1344.54 202.258 Q1346.56 200.059 1346.56 196.263 L1346.56 181.564 L1350.81 181.564 L1350.81 207.49 L1346.56 207.49 L1346.56 203.508 Q1345 205.869 1342.94 207.027 Q1340.91 208.161 1338.2 208.161 Q1333.73 208.161 1331.42 205.383 Q1329.1 202.605 1329.1 197.258 M1339.82 180.939 L1339.82 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1359.5 174.203 L1359.5 181.564 L1368.27 181.564 L1368.27 184.874 L1359.5 184.874 L1359.5 198.948 Q1359.5 202.119 1360.35 203.022 Q1361.23 203.925 1363.89 203.925 L1368.27 203.925 L1368.27 207.49 L1363.89 207.49 Q1358.96 207.49 1357.09 205.661 Q1355.21 203.809 1355.21 198.948 L1355.21 184.874 L1352.09 184.874 L1352.09 181.564 L1355.21 181.564 L1355.21 174.203 L1359.5 174.203 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1394.91 193.462 L1394.91 195.545 L1375.33 195.545 Q1375.61 199.943 1377.97 202.258 Q1380.35 204.55 1384.59 204.55 Q1387.04 204.55 1389.33 203.948 Q1391.65 203.346 1393.92 202.142 L1393.92 206.17 Q1391.62 207.142 1389.22 207.652 Q1386.81 208.161 1384.33 208.161 Q1378.13 208.161 1374.49 204.55 Q1370.88 200.939 1370.88 194.781 Q1370.88 188.416 1374.31 184.689 Q1377.76 180.939 1383.59 180.939 Q1388.82 180.939 1391.86 184.318 Q1394.91 187.675 1394.91 193.462 M1390.65 192.212 Q1390.61 188.717 1388.68 186.633 Q1386.79 184.55 1383.64 184.55 Q1380.07 184.55 1377.92 186.564 Q1375.79 188.578 1375.47 192.235 L1390.65 192.212 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1436.62 193.462 L1436.62 195.545 L1417.04 195.545 Q1417.32 199.943 1419.68 202.258 Q1422.06 204.55 1426.3 204.55 Q1428.75 204.55 1431.05 203.948 Q1433.36 203.346 1435.63 202.142 L1435.63 206.17 Q1433.34 207.142 1430.93 207.652 Q1428.52 208.161 1426.05 208.161 Q1419.84 208.161 1416.21 204.55 Q1412.6 200.939 1412.6 194.781 Q1412.6 188.416 1416.02 184.689 Q1419.47 180.939 1425.3 180.939 Q1430.54 180.939 1433.57 184.318 Q1436.62 187.675 1436.62 193.462 M1432.37 192.212 Q1432.32 188.717 1430.4 186.633 Q1428.5 184.55 1425.35 184.55 Q1421.79 184.55 1419.63 186.564 Q1417.5 188.578 1417.18 192.235 L1432.37 192.212 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1456.11 185.545 Q1455.4 185.129 1454.54 184.943 Q1453.71 184.735 1452.69 184.735 Q1449.08 184.735 1447.13 187.096 Q1445.21 189.434 1445.21 193.832 L1445.21 207.49 L1440.93 207.49 L1440.93 181.564 L1445.21 181.564 L1445.21 185.592 Q1446.55 183.23 1448.71 182.096 Q1450.86 180.939 1453.94 180.939 Q1454.38 180.939 1454.91 181.008 Q1455.44 181.055 1456.09 181.17 L1456.11 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1474.77 185.545 Q1474.05 185.129 1473.2 184.943 Q1472.36 184.735 1471.35 184.735 Q1467.74 184.735 1465.79 187.096 Q1463.87 189.434 1463.87 193.832 L1463.87 207.49 L1459.59 207.49 L1459.59 181.564 L1463.87 181.564 L1463.87 185.592 Q1465.21 183.23 1467.36 182.096 Q1469.52 180.939 1472.6 180.939 Q1473.04 180.939 1473.57 181.008 Q1474.1 181.055 1474.75 181.17 L1474.77 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1488.24 184.55 Q1484.82 184.55 1482.83 187.235 Q1480.84 189.897 1480.84 194.55 Q1480.84 199.203 1482.8 201.888 Q1484.8 204.55 1488.24 204.55 Q1491.65 204.55 1493.64 201.865 Q1495.63 199.179 1495.63 194.55 Q1495.63 189.943 1493.64 187.258 Q1491.65 184.55 1488.24 184.55 M1488.24 180.939 Q1493.8 180.939 1496.97 184.55 Q1500.14 188.161 1500.14 194.55 Q1500.14 200.916 1496.97 204.55 Q1493.8 208.161 1488.24 208.161 Q1482.67 208.161 1479.49 204.55 Q1476.35 200.916 1476.35 194.55 Q1476.35 188.161 1479.49 184.55 Q1482.67 180.939 1488.24 180.939 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1519.63 185.545 Q1518.92 185.129 1518.06 184.943 Q1517.23 184.735 1516.21 184.735 Q1512.6 184.735 1510.65 187.096 Q1508.73 189.434 1508.73 193.832 L1508.73 207.49 L1504.45 207.49 L1504.45 181.564 L1508.73 181.564 L1508.73 185.592 Q1510.07 183.23 1512.23 182.096 Q1514.38 180.939 1517.46 180.939 Q1517.9 180.939 1518.43 181.008 Q1518.96 181.055 1519.61 181.17 L1519.63 185.545 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1549.4 171.518 Q1546.3 176.842 1544.79 182.05 Q1543.29 187.258 1543.29 192.605 Q1543.29 197.953 1544.79 203.207 Q1546.32 208.439 1549.4 213.74 L1545.7 213.74 Q1542.23 208.3 1540.49 203.045 Q1538.78 197.791 1538.78 192.605 Q1538.78 187.443 1540.49 182.212 Q1542.2 176.98 1545.7 171.518 L1549.4 171.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1577.62 202.559 L1577.62 193.277 L1569.98 193.277 L1569.98 189.434 L1582.25 189.434 L1582.25 204.272 Q1579.54 206.193 1576.28 207.189 Q1573.01 208.161 1569.31 208.161 Q1561.21 208.161 1556.62 203.439 Q1552.06 198.693 1552.06 190.244 Q1552.06 181.772 1556.62 177.05 Q1561.21 172.305 1569.31 172.305 Q1572.69 172.305 1575.72 173.138 Q1578.78 173.971 1581.35 175.592 L1581.35 180.568 Q1578.75 178.369 1575.84 177.258 Q1572.92 176.147 1569.7 176.147 Q1563.36 176.147 1560.17 179.689 Q1556.99 183.23 1556.99 190.244 Q1556.99 197.235 1560.17 200.777 Q1563.36 204.318 1569.7 204.318 Q1572.18 204.318 1574.12 203.902 Q1576.07 203.462 1577.62 202.559 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1598.5 194.457 Q1593.34 194.457 1591.35 195.638 Q1589.35 196.818 1589.35 199.666 Q1589.35 201.934 1590.84 203.277 Q1592.34 204.596 1594.91 204.596 Q1598.45 204.596 1600.58 202.096 Q1602.73 199.573 1602.73 195.406 L1602.73 194.457 L1598.5 194.457 M1606.99 192.698 L1606.99 207.49 L1602.73 207.49 L1602.73 203.554 Q1601.28 205.915 1599.1 207.05 Q1596.92 208.161 1593.78 208.161 Q1589.79 208.161 1587.43 205.939 Q1585.1 203.693 1585.1 199.943 Q1585.1 195.568 1588.01 193.346 Q1590.95 191.124 1596.76 191.124 L1602.73 191.124 L1602.73 190.707 Q1602.73 187.767 1600.79 186.17 Q1598.87 184.55 1595.37 184.55 Q1593.15 184.55 1591.04 185.082 Q1588.94 185.615 1586.99 186.679 L1586.99 182.744 Q1589.33 181.842 1591.53 181.402 Q1593.73 180.939 1595.81 180.939 Q1601.44 180.939 1604.22 183.855 Q1606.99 186.772 1606.99 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1631.65 186.541 Q1633.24 183.67 1635.47 182.305 Q1637.69 180.939 1640.7 180.939 Q1644.75 180.939 1646.95 183.786 Q1649.15 186.61 1649.15 191.841 L1649.15 207.49 L1644.86 207.49 L1644.86 191.98 Q1644.86 188.254 1643.54 186.448 Q1642.23 184.642 1639.52 184.642 Q1636.21 184.642 1634.29 186.842 Q1632.36 189.041 1632.36 192.837 L1632.36 207.49 L1628.08 207.49 L1628.08 191.98 Q1628.08 188.23 1626.76 186.448 Q1625.44 184.642 1622.69 184.642 Q1619.42 184.642 1617.5 186.865 Q1615.58 189.064 1615.58 192.837 L1615.58 207.49 L1611.3 207.49 L1611.3 181.564 L1615.58 181.564 L1615.58 185.592 Q1617.04 183.207 1619.08 182.073 Q1621.11 180.939 1623.91 180.939 Q1626.74 180.939 1628.71 182.374 Q1630.7 183.809 1631.65 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1673.8 186.541 Q1675.4 183.67 1677.62 182.305 Q1679.84 180.939 1682.85 180.939 Q1686.9 180.939 1689.1 183.786 Q1691.3 186.61 1691.3 191.841 L1691.3 207.49 L1687.02 207.49 L1687.02 191.98 Q1687.02 188.254 1685.7 186.448 Q1684.38 184.642 1681.67 184.642 Q1678.36 184.642 1676.44 186.842 Q1674.52 189.041 1674.52 192.837 L1674.52 207.49 L1670.23 207.49 L1670.23 191.98 Q1670.23 188.23 1668.91 186.448 Q1667.6 184.642 1664.84 184.642 Q1661.58 184.642 1659.66 186.865 Q1657.73 189.064 1657.73 192.837 L1657.73 207.49 L1653.45 207.49 L1653.45 181.564 L1657.73 181.564 L1657.73 185.592 Q1659.19 183.207 1661.23 182.073 Q1663.27 180.939 1666.07 180.939 Q1668.89 180.939 1670.86 182.374 Q1672.85 183.809 1673.8 186.541 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1707.55 194.457 Q1702.39 194.457 1700.4 195.638 Q1698.41 196.818 1698.41 199.666 Q1698.41 201.934 1699.89 203.277 Q1701.39 204.596 1703.96 204.596 Q1707.5 204.596 1709.63 202.096 Q1711.78 199.573 1711.78 195.406 L1711.78 194.457 L1707.55 194.457 M1716.04 192.698 L1716.04 207.49 L1711.78 207.49 L1711.78 203.554 Q1710.33 205.915 1708.15 207.05 Q1705.97 208.161 1702.83 208.161 Q1698.85 208.161 1696.48 205.939 Q1694.15 203.693 1694.15 199.943 Q1694.15 195.568 1697.06 193.346 Q1700 191.124 1705.81 191.124 L1711.78 191.124 L1711.78 190.707 Q1711.78 187.767 1709.84 186.17 Q1707.92 184.55 1704.42 184.55 Q1702.2 184.55 1700.1 185.082 Q1697.99 185.615 1696.04 186.679 L1696.04 182.744 Q1698.38 181.842 1700.58 181.402 Q1702.78 180.939 1704.86 180.939 Q1710.49 180.939 1713.27 183.855 Q1716.04 186.772 1716.04 192.698 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip270)\" d=\"M 0 0 M1719.84 171.518 L1723.54 171.518 Q1727.02 176.98 1728.73 182.212 Q1730.47 187.443 1730.47 192.605 Q1730.47 197.791 1728.73 203.045 Q1727.02 208.3 1723.54 213.74 L1719.84 213.74 Q1722.92 208.439 1724.42 203.207 Q1725.95 197.953 1725.95 192.605 Q1725.95 187.258 1724.42 182.05 Q1722.92 176.842 1719.84 171.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 43
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Derivation of the transformation of beta distribution to beta prime distribution\n",
    "\n",
    "We want to apply the transformation $X \\rightarrow \\frac{1}{1-X}$ to the [beta distribution](https://en.wikipedia.org/wiki/Beta_distribution). Using the CDF [technique](https://math.stackexchange.com/a/13851) we have:\n",
    "$$\n",
    "\\begin{align*}\n",
    "CDF_X(x) & = P(X \\leq x) \\rightarrow P(\\frac{1}{1-X} \\leq x) \\\\\n",
    "& = P(1 \\leq x(1-X)) = P(X \\leq \\frac{x-1}{x}) \\\\\n",
    "& = \\frac{1}{B(\\alpha,\\beta)} \\int_{0}^{\\frac{x-1}{x}} x^{\\alpha-1} (1-x)^{\\beta-1} dx\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "Differentiating both sides:\n",
    "$$\n",
    "\\begin{align*}\n",
    "PDF_X(x) = \\frac{d}{dx} CDF_X(x) \n",
    "& = \\frac{1}{B(\\alpha,\\beta)} (\\frac{x-1}{x})^{\\alpha-1} (1-\\frac{x-1}{x})^{\\beta-1} \\frac{d}{dx}(\\frac{x-1}{x}) \\\\\n",
    "& = \\frac{1}{B(\\alpha,\\beta)} (x-1)^{\\alpha-1} x^{1-\\alpha} x^{1-\\beta} \\frac{1}{x^2} \\\\\n",
    "& = \\frac{1}{B(\\alpha,\\beta)} (x-1)^{\\alpha-1} x^{-\\alpha-\\beta}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "If we shift the distribution by one (representing the normalised minimum latency, i.e. a fixed service time) then $x \\rightarrow x-1$\n",
    "$$\n",
    "PDF_X(x) = \\frac{1}{B(\\alpha,\\beta)} x^{\\alpha-1} (x+1)^{-\\alpha-\\beta}\n",
    "$$\n",
    "Which is the beta prime distribution."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Inverse log approximation"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "source": [
    "plot(0:0.01:0.99, x -> x/(1-x))\n",
    "\n",
    "plot!(0:0.01:0.99, x -> -1/log(x))"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip310\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip310)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip311\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip310)\" d=\"\nM156.798 707.408 L1872.76 707.408 L1872.76 47.2441 L156.798 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip312\">\n    <rect x=\"156\" y=\"47\" width=\"1717\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  205.363,707.408 205.363,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  614.158,707.408 614.158,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1022.95,707.408 1022.95,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1431.75,707.408 1431.75,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1840.54,707.408 1840.54,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  205.363,707.408 205.363,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  614.158,707.408 614.158,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1022.95,707.408 1022.95,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1431.75,707.408 1431.75,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1840.54,707.408 1840.54,699.486 \n  \"/>\n<path clip-path=\"url(#clip310)\" d=\"M 0 0 M173.372 732.759 Q169.761 732.759 167.933 736.323 Q166.127 739.865 166.127 746.995 Q166.127 754.101 167.933 757.666 Q169.761 761.207 173.372 761.207 Q177.007 761.207 178.812 757.666 Q180.641 754.101 180.641 746.995 Q180.641 739.865 178.812 736.323 Q177.007 732.759 173.372 732.759 M173.372 729.055 Q179.183 729.055 182.238 733.661 Q185.317 738.245 185.317 746.995 Q185.317 755.721 182.238 760.328 Q179.183 764.911 173.372 764.911 Q167.562 764.911 164.484 760.328 Q161.428 755.721 161.428 746.995 Q161.428 738.245 164.484 733.661 Q167.562 729.055 173.372 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M190.386 758.36 L195.271 758.36 L195.271 764.24 L190.386 764.24 L190.386 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M210.34 732.759 Q206.729 732.759 204.9 736.323 Q203.095 739.865 203.095 746.995 Q203.095 754.101 204.9 757.666 Q206.729 761.207 210.34 761.207 Q213.974 761.207 215.78 757.666 Q217.608 754.101 217.608 746.995 Q217.608 739.865 215.78 736.323 Q213.974 732.759 210.34 732.759 M210.34 729.055 Q216.15 729.055 219.206 733.661 Q222.284 738.245 222.284 746.995 Q222.284 755.721 219.206 760.328 Q216.15 764.911 210.34 764.911 Q204.53 764.911 201.451 760.328 Q198.395 755.721 198.395 746.995 Q198.395 738.245 201.451 733.661 Q204.53 729.055 210.34 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M237.354 732.759 Q233.743 732.759 231.914 736.323 Q230.108 739.865 230.108 746.995 Q230.108 754.101 231.914 757.666 Q233.743 761.207 237.354 761.207 Q240.988 761.207 242.793 757.666 Q244.622 754.101 244.622 746.995 Q244.622 739.865 242.793 736.323 Q240.988 732.759 237.354 732.759 M237.354 729.055 Q243.164 729.055 246.219 733.661 Q249.298 738.245 249.298 746.995 Q249.298 755.721 246.219 760.328 Q243.164 764.911 237.354 764.911 Q231.543 764.911 228.465 760.328 Q225.409 755.721 225.409 746.995 Q225.409 738.245 228.465 733.661 Q231.543 729.055 237.354 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M583.464 732.759 Q579.853 732.759 578.024 736.323 Q576.218 739.865 576.218 746.995 Q576.218 754.101 578.024 757.666 Q579.853 761.207 583.464 761.207 Q587.098 761.207 588.904 757.666 Q590.732 754.101 590.732 746.995 Q590.732 739.865 588.904 736.323 Q587.098 732.759 583.464 732.759 M583.464 729.055 Q589.274 729.055 592.329 733.661 Q595.408 738.245 595.408 746.995 Q595.408 755.721 592.329 760.328 Q589.274 764.911 583.464 764.911 Q577.654 764.911 574.575 760.328 Q571.519 755.721 571.519 746.995 Q571.519 738.245 574.575 733.661 Q577.654 729.055 583.464 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M600.478 758.36 L605.362 758.36 L605.362 764.24 L600.478 764.24 L600.478 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M614.459 760.305 L630.778 760.305 L630.778 764.24 L608.834 764.24 L608.834 760.305 Q611.496 757.55 616.079 752.92 Q620.686 748.268 621.866 746.925 Q624.112 744.402 624.991 742.666 Q625.894 740.907 625.894 739.217 Q625.894 736.462 623.95 734.726 Q622.028 732.99 618.926 732.99 Q616.727 732.99 614.274 733.754 Q611.843 734.518 609.065 736.069 L609.065 731.347 Q611.889 730.212 614.343 729.634 Q616.797 729.055 618.834 729.055 Q624.204 729.055 627.399 731.74 Q630.593 734.425 630.593 738.916 Q630.593 741.046 629.783 742.967 Q628.996 744.865 626.889 747.458 Q626.311 748.129 623.209 751.346 Q620.107 754.541 614.459 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M635.894 729.68 L654.25 729.68 L654.25 733.615 L640.176 733.615 L640.176 742.087 Q641.195 741.74 642.213 741.578 Q643.232 741.393 644.25 741.393 Q650.037 741.393 653.417 744.564 Q656.797 747.735 656.797 753.152 Q656.797 758.731 653.324 761.832 Q649.852 764.911 643.533 764.911 Q641.357 764.911 639.088 764.541 Q636.843 764.17 634.436 763.43 L634.436 758.731 Q636.519 759.865 638.741 760.42 Q640.963 760.976 643.44 760.976 Q647.445 760.976 649.783 758.87 Q652.121 756.763 652.121 753.152 Q652.121 749.541 649.783 747.434 Q647.445 745.328 643.44 745.328 Q641.565 745.328 639.69 745.745 Q637.838 746.161 635.894 747.041 L635.894 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M991.46 732.759 Q987.849 732.759 986.02 736.323 Q984.215 739.865 984.215 746.995 Q984.215 754.101 986.02 757.666 Q987.849 761.207 991.46 761.207 Q995.094 761.207 996.9 757.666 Q998.729 754.101 998.729 746.995 Q998.729 739.865 996.9 736.323 Q995.094 732.759 991.46 732.759 M991.46 729.055 Q997.27 729.055 1000.33 733.661 Q1003.4 738.245 1003.4 746.995 Q1003.4 755.721 1000.33 760.328 Q997.27 764.911 991.46 764.911 Q985.65 764.911 982.571 760.328 Q979.516 755.721 979.516 746.995 Q979.516 738.245 982.571 733.661 Q985.65 729.055 991.46 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1008.47 758.36 L1013.36 758.36 L1013.36 764.24 L1008.47 764.24 L1008.47 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1018.47 729.68 L1036.83 729.68 L1036.83 733.615 L1022.76 733.615 L1022.76 742.087 Q1023.77 741.74 1024.79 741.578 Q1025.81 741.393 1026.83 741.393 Q1032.62 741.393 1036 744.564 Q1039.38 747.735 1039.38 753.152 Q1039.38 758.731 1035.9 761.832 Q1032.43 764.911 1026.11 764.911 Q1023.94 764.911 1021.67 764.541 Q1019.42 764.17 1017.02 763.43 L1017.02 758.731 Q1019.1 759.865 1021.32 760.42 Q1023.54 760.976 1026.02 760.976 Q1030.02 760.976 1032.36 758.87 Q1034.7 756.763 1034.7 753.152 Q1034.7 749.541 1032.36 747.434 Q1030.02 745.328 1026.02 745.328 Q1024.15 745.328 1022.27 745.745 Q1020.42 746.161 1018.47 747.041 L1018.47 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1054.45 732.759 Q1050.83 732.759 1049.01 736.323 Q1047.2 739.865 1047.2 746.995 Q1047.2 754.101 1049.01 757.666 Q1050.83 761.207 1054.45 761.207 Q1058.08 761.207 1059.89 757.666 Q1061.71 754.101 1061.71 746.995 Q1061.71 739.865 1059.89 736.323 Q1058.08 732.759 1054.45 732.759 M1054.45 729.055 Q1060.26 729.055 1063.31 733.661 Q1066.39 738.245 1066.39 746.995 Q1066.39 755.721 1063.31 760.328 Q1060.26 764.911 1054.45 764.911 Q1048.64 764.911 1045.56 760.328 Q1042.5 755.721 1042.5 746.995 Q1042.5 738.245 1045.56 733.661 Q1048.64 729.055 1054.45 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1400.71 732.759 Q1397.1 732.759 1395.27 736.323 Q1393.46 739.865 1393.46 746.995 Q1393.46 754.101 1395.27 757.666 Q1397.1 761.207 1400.71 761.207 Q1404.34 761.207 1406.15 757.666 Q1407.97 754.101 1407.97 746.995 Q1407.97 739.865 1406.15 736.323 Q1404.34 732.759 1400.71 732.759 M1400.71 729.055 Q1406.52 729.055 1409.57 733.661 Q1412.65 738.245 1412.65 746.995 Q1412.65 755.721 1409.57 760.328 Q1406.52 764.911 1400.71 764.911 Q1394.9 764.911 1391.82 760.328 Q1388.76 755.721 1388.76 746.995 Q1388.76 738.245 1391.82 733.661 Q1394.9 729.055 1400.71 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1417.72 758.36 L1422.6 758.36 L1422.6 764.24 L1417.72 764.24 L1417.72 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1426.49 729.68 L1448.72 729.68 L1448.72 731.671 L1436.17 764.24 L1431.28 764.24 L1443.09 733.615 L1426.49 733.615 L1426.49 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1453.83 729.68 L1472.19 729.68 L1472.19 733.615 L1458.11 733.615 L1458.11 742.087 Q1459.13 741.74 1460.15 741.578 Q1461.17 741.393 1462.19 741.393 Q1467.97 741.393 1471.35 744.564 Q1474.73 747.735 1474.73 753.152 Q1474.73 758.731 1471.26 761.832 Q1467.79 764.911 1461.47 764.911 Q1459.29 764.911 1457.03 764.541 Q1454.78 764.17 1452.37 763.43 L1452.37 758.731 Q1454.46 759.865 1456.68 760.42 Q1458.9 760.976 1461.38 760.976 Q1465.38 760.976 1467.72 758.87 Q1470.06 756.763 1470.06 753.152 Q1470.06 749.541 1467.72 747.434 Q1465.38 745.328 1461.38 745.328 Q1459.5 745.328 1457.63 745.745 Q1455.78 746.161 1453.83 747.041 L1453.83 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1798.93 760.305 L1806.57 760.305 L1806.57 733.939 L1798.26 735.606 L1798.26 731.347 L1806.53 729.68 L1811.2 729.68 L1811.2 760.305 L1818.84 760.305 L1818.84 764.24 L1798.93 764.24 L1798.93 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1823.91 758.36 L1828.8 758.36 L1828.8 764.24 L1823.91 764.24 L1823.91 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1843.86 732.759 Q1840.25 732.759 1838.42 736.323 Q1836.62 739.865 1836.62 746.995 Q1836.62 754.101 1838.42 757.666 Q1840.25 761.207 1843.86 761.207 Q1847.5 761.207 1849.3 757.666 Q1851.13 754.101 1851.13 746.995 Q1851.13 739.865 1849.3 736.323 Q1847.5 732.759 1843.86 732.759 M1843.86 729.055 Q1849.67 729.055 1852.73 733.661 Q1855.81 738.245 1855.81 746.995 Q1855.81 755.721 1852.73 760.328 Q1849.67 764.911 1843.86 764.911 Q1838.05 764.911 1834.98 760.328 Q1831.92 755.721 1831.92 746.995 Q1831.92 738.245 1834.98 733.661 Q1838.05 729.055 1843.86 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1870.88 732.759 Q1867.27 732.759 1865.44 736.323 Q1863.63 739.865 1863.63 746.995 Q1863.63 754.101 1865.44 757.666 Q1867.27 761.207 1870.88 761.207 Q1874.51 761.207 1876.32 757.666 Q1878.15 754.101 1878.15 746.995 Q1878.15 739.865 1876.32 736.323 Q1874.51 732.759 1870.88 732.759 M1870.88 729.055 Q1876.69 729.055 1879.74 733.661 Q1882.82 738.245 1882.82 746.995 Q1882.82 755.721 1879.74 760.328 Q1876.69 764.911 1870.88 764.911 Q1865.07 764.911 1861.99 760.328 Q1858.93 755.721 1858.93 746.995 Q1858.93 738.245 1861.99 733.661 Q1865.07 729.055 1870.88 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.798,688.724 1872.76,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.798,532.241 1872.76,532.241 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.798,375.759 1872.76,375.759 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.798,219.276 1872.76,219.276 \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  156.798,62.7931 1872.76,62.7931 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,707.408 156.798,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,688.724 177.39,688.724 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,532.241 177.39,532.241 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,375.759 177.39,375.759 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,219.276 177.39,219.276 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  156.798,62.7931 177.39,62.7931 \n  \"/>\n<path clip-path=\"url(#clip310)\" d=\"M 0 0 M116.054 674.523 Q112.443 674.523 110.614 678.087 Q108.808 681.629 108.808 688.759 Q108.808 695.865 110.614 699.43 Q112.443 702.972 116.054 702.972 Q119.688 702.972 121.494 699.43 Q123.322 695.865 123.322 688.759 Q123.322 681.629 121.494 678.087 Q119.688 674.523 116.054 674.523 M116.054 670.819 Q121.864 670.819 124.92 675.425 Q127.998 680.009 127.998 688.759 Q127.998 697.486 124.92 702.092 Q121.864 706.675 116.054 706.675 Q110.244 706.675 107.165 702.092 Q104.109 697.486 104.109 688.759 Q104.109 680.009 107.165 675.425 Q110.244 670.819 116.054 670.819 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M85.6605 545.586 L101.98 545.586 L101.98 549.521 L80.0355 549.521 L80.0355 545.586 Q82.6975 542.831 87.2808 538.202 Q91.8873 533.549 93.0678 532.207 Q95.3132 529.683 96.1928 527.947 Q97.0956 526.188 97.0956 524.498 Q97.0956 521.744 95.1512 520.008 Q93.2299 518.271 90.128 518.271 Q87.929 518.271 85.4753 519.035 Q83.0447 519.799 80.267 521.35 L80.267 516.628 Q83.091 515.494 85.5447 514.915 Q87.9984 514.336 90.0354 514.336 Q95.4058 514.336 98.6002 517.021 Q101.795 519.707 101.795 524.197 Q101.795 526.327 100.984 528.248 Q100.197 530.146 98.091 532.739 Q97.5123 533.41 94.4104 536.628 Q91.3086 539.822 85.6605 545.586 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M107.096 514.961 L125.452 514.961 L125.452 518.896 L111.378 518.896 L111.378 527.369 Q112.396 527.021 113.415 526.859 Q114.433 526.674 115.452 526.674 Q121.239 526.674 124.619 529.845 Q127.998 533.017 127.998 538.433 Q127.998 544.012 124.526 547.114 Q121.054 550.193 114.734 550.193 Q112.558 550.193 110.29 549.822 Q108.045 549.452 105.637 548.711 L105.637 544.012 Q107.721 545.146 109.943 545.702 Q112.165 546.257 114.642 546.257 Q118.646 546.257 120.984 544.151 Q123.322 542.044 123.322 538.433 Q123.322 534.822 120.984 532.716 Q118.646 530.609 114.642 530.609 Q112.767 530.609 110.892 531.026 Q109.04 531.443 107.096 532.322 L107.096 514.961 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M80.0818 358.479 L98.4382 358.479 L98.4382 362.414 L84.3642 362.414 L84.3642 370.886 Q85.3827 370.539 86.4012 370.377 Q87.4197 370.191 88.4382 370.191 Q94.2252 370.191 97.6049 373.363 Q100.984 376.534 100.984 381.951 Q100.984 387.529 97.5123 390.631 Q94.0401 393.71 87.7206 393.71 Q85.5447 393.71 83.2762 393.339 Q81.0309 392.969 78.6235 392.228 L78.6235 387.529 Q80.7068 388.664 82.929 389.219 Q85.1512 389.775 87.6281 389.775 Q91.6327 389.775 93.9706 387.668 Q96.3086 385.562 96.3086 381.951 Q96.3086 378.34 93.9706 376.233 Q91.6327 374.127 87.6281 374.127 Q85.7531 374.127 83.8781 374.543 Q82.0262 374.96 80.0818 375.84 L80.0818 358.479 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M116.054 361.557 Q112.443 361.557 110.614 365.122 Q108.808 368.664 108.808 375.793 Q108.808 382.9 110.614 386.464 Q112.443 390.006 116.054 390.006 Q119.688 390.006 121.494 386.464 Q123.322 382.9 123.322 375.793 Q123.322 368.664 121.494 365.122 Q119.688 361.557 116.054 361.557 M116.054 357.854 Q121.864 357.854 124.92 362.46 Q127.998 367.043 127.998 375.793 Q127.998 384.52 124.92 389.127 Q121.864 393.71 116.054 393.71 Q110.244 393.71 107.165 389.127 Q104.109 384.52 104.109 375.793 Q104.109 367.043 107.165 362.46 Q110.244 357.854 116.054 357.854 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M79.7577 201.996 L101.98 201.996 L101.98 203.987 L89.4336 236.556 L84.5494 236.556 L96.3549 205.931 L79.7577 205.931 L79.7577 201.996 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M107.096 201.996 L125.452 201.996 L125.452 205.931 L111.378 205.931 L111.378 214.403 Q112.396 214.056 113.415 213.894 Q114.433 213.709 115.452 213.709 Q121.239 213.709 124.619 216.88 Q127.998 220.051 127.998 225.468 Q127.998 231.047 124.526 234.148 Q121.054 237.227 114.734 237.227 Q112.558 237.227 110.29 236.857 Q108.045 236.486 105.637 235.746 L105.637 231.047 Q107.721 232.181 109.943 232.736 Q112.165 233.292 114.642 233.292 Q118.646 233.292 120.984 231.185 Q123.322 229.079 123.322 225.468 Q123.322 221.857 120.984 219.75 Q118.646 217.644 114.642 217.644 Q112.767 217.644 110.892 218.061 Q109.04 218.477 107.096 219.357 L107.096 201.996 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M54.0634 76.1379 L61.7023 76.1379 L61.7023 49.7723 L53.3921 51.439 L53.3921 47.1797 L61.656 45.5131 L66.3319 45.5131 L66.3319 76.1379 L73.9707 76.1379 L73.9707 80.0731 L54.0634 80.0731 L54.0634 76.1379 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M89.0401 48.5918 Q85.429 48.5918 83.6003 52.1566 Q81.7948 55.6982 81.7948 62.8278 Q81.7948 69.9342 83.6003 73.499 Q85.429 77.0407 89.0401 77.0407 Q92.6743 77.0407 94.4799 73.499 Q96.3086 69.9342 96.3086 62.8278 Q96.3086 55.6982 94.4799 52.1566 Q92.6743 48.5918 89.0401 48.5918 M89.0401 44.8881 Q94.8502 44.8881 97.9058 49.4945 Q100.984 54.0778 100.984 62.8278 Q100.984 71.5546 97.9058 76.1611 Q94.8502 80.7444 89.0401 80.7444 Q83.2299 80.7444 80.1512 76.1611 Q77.0957 71.5546 77.0957 62.8278 Q77.0957 54.0778 80.1512 49.4945 Q83.2299 44.8881 89.0401 44.8881 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M116.054 48.5918 Q112.443 48.5918 110.614 52.1566 Q108.808 55.6982 108.808 62.8278 Q108.808 69.9342 110.614 73.499 Q112.443 77.0407 116.054 77.0407 Q119.688 77.0407 121.494 73.499 Q123.322 69.9342 123.322 62.8278 Q123.322 55.6982 121.494 52.1566 Q119.688 48.5918 116.054 48.5918 M116.054 44.8881 Q121.864 44.8881 124.92 49.4945 Q127.998 54.0778 127.998 62.8278 Q127.998 71.5546 124.92 76.1611 Q121.864 80.7444 116.054 80.7444 Q110.244 80.7444 107.165 76.1611 Q104.109 71.5546 104.109 62.8278 Q104.109 54.0778 107.165 49.4945 Q110.244 44.8881 116.054 44.8881 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip312)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  205.363,688.724 221.715,688.661 238.067,688.596 254.418,688.53 270.77,688.463 287.122,688.395 303.474,688.324 319.826,688.253 336.177,688.18 352.529,688.105 \n  368.881,688.029 385.233,687.95 401.585,687.87 417.936,687.789 434.288,687.705 450.64,687.619 466.992,687.532 483.344,687.442 499.695,687.35 516.047,687.256 \n  532.399,687.159 548.751,687.06 565.103,686.959 581.454,686.854 597.806,686.747 614.158,686.638 630.51,686.525 646.862,686.409 663.213,686.29 679.565,686.167 \n  695.917,686.041 712.269,685.912 728.621,685.778 744.972,685.641 761.324,685.5 777.676,685.354 794.028,685.203 810.38,685.048 826.731,684.888 843.083,684.722 \n  859.435,684.551 875.787,684.374 892.139,684.191 908.49,684.002 924.842,683.806 941.194,683.603 957.546,683.392 973.898,683.173 990.249,682.946 1006.6,682.71 \n  1022.95,682.465 1039.3,682.209 1055.66,681.943 1072.01,681.666 1088.36,681.376 1104.71,681.074 1121.06,680.758 1137.42,680.427 1153.77,680.08 1170.12,679.717 \n  1186.47,679.335 1202.82,678.934 1219.17,678.511 1235.53,678.066 1251.88,677.596 1268.23,677.1 1284.58,676.574 1300.93,676.016 1317.29,675.423 1333.64,674.792 \n  1349.99,674.119 1366.34,673.399 1382.69,672.629 1399.04,671.801 1415.4,670.909 1431.75,669.946 1448.1,668.903 1464.45,667.769 1480.8,666.532 1497.16,665.177 \n  1513.51,663.687 1529.86,662.04 1546.21,660.209 1562.56,658.164 1578.91,655.863 1595.27,653.255 1611.62,650.274 1627.97,646.835 1644.32,642.822 1660.67,638.08 \n  1677.02,632.39 1693.38,625.435 1709.73,616.742 1726.08,605.565 1742.43,590.661 1758.78,569.797 1775.14,538.501 1791.49,486.34 1807.84,382.018 1824.19,69.0524 \n  \n  \"/>\n<polyline clip-path=\"url(#clip312)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  205.363,688.724 221.715,687.365 238.067,687.124 254.418,686.939 270.77,686.779 287.122,686.635 303.474,686.499 319.826,686.37 336.177,686.246 352.529,686.125 \n  368.881,686.006 385.233,685.888 401.585,685.772 417.936,685.656 434.288,685.54 450.64,685.425 466.992,685.308 483.344,685.192 499.695,685.074 516.047,684.955 \n  532.399,684.835 548.751,684.713 565.103,684.59 581.454,684.465 597.806,684.338 614.158,684.209 630.51,684.077 646.862,683.943 663.213,683.807 679.565,683.667 \n  695.917,683.525 712.269,683.38 728.621,683.231 744.972,683.078 761.324,682.922 777.676,682.762 794.028,682.597 810.38,682.428 826.731,682.255 843.083,682.077 \n  859.435,681.893 875.787,681.704 892.139,681.509 908.49,681.307 924.842,681.1 941.194,680.885 957.546,680.663 973.898,680.434 990.249,680.196 1006.6,679.949 \n  1022.95,679.694 1039.3,679.428 1055.66,679.152 1072.01,678.865 1088.36,678.566 1104.71,678.254 1121.06,677.929 1137.42,677.589 1153.77,677.233 1170.12,676.861 \n  1186.47,676.471 1202.82,676.061 1219.17,675.63 1235.53,675.177 1251.88,674.699 1268.23,674.194 1284.58,673.66 1300.93,673.094 1317.29,672.494 1333.64,671.855 \n  1349.99,671.175 1366.34,670.448 1382.69,669.67 1399.04,668.835 1415.4,667.936 1431.75,666.966 1448.1,665.916 1464.45,664.775 1480.8,663.532 1497.16,662.17 \n  1513.51,660.673 1529.86,659.02 1546.21,657.183 1562.56,655.131 1578.91,652.824 1595.27,650.21 1611.62,647.223 1627.97,643.778 1644.32,639.759 1660.67,635.012 \n  1677.02,629.316 1693.38,622.355 1709.73,613.656 1726.08,602.473 1742.43,587.564 1758.78,566.694 1775.14,535.392 1791.49,483.226 1807.84,378.899 1824.19,65.928 \n  \n  \"/>\n<path clip-path=\"url(#clip310)\" d=\"\nM1573.88 250.69 L1815.56 250.69 L1815.56 69.2496 L1573.88 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1573.88,250.69 1815.56,250.69 1815.56,69.2496 1573.88,69.2496 1573.88,250.69 \n  \"/>\n<polyline clip-path=\"url(#clip310)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1592.94,129.73 1707.34,129.73 \n  \"/>\n<path clip-path=\"url(#clip310)\" d=\"M 0 0 M1740.25 149.417 Q1738.44 154.047 1736.73 155.459 Q1735.02 156.871 1732.15 156.871 L1728.74 156.871 L1728.74 153.306 L1731.24 153.306 Q1733 153.306 1733.98 152.472 Q1734.95 151.639 1736.13 148.537 L1736.89 146.593 L1726.41 121.084 L1730.92 121.084 L1739.02 141.361 L1747.12 121.084 L1751.64 121.084 L1740.25 149.417 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1757.52 143.074 L1765.16 143.074 L1765.16 116.709 L1756.85 118.375 L1756.85 114.116 L1765.11 112.45 L1769.79 112.45 L1769.79 143.074 L1777.42 143.074 L1777.42 147.01 L1757.52 147.01 L1757.52 143.074 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip310)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1592.94,190.21 1707.34,190.21 \n  \"/>\n<path clip-path=\"url(#clip310)\" d=\"M 0 0 M1740.25 209.897 Q1738.44 214.527 1736.73 215.939 Q1735.02 217.351 1732.15 217.351 L1728.74 217.351 L1728.74 213.786 L1731.24 213.786 Q1733 213.786 1733.98 212.952 Q1734.95 212.119 1736.13 209.017 L1736.89 207.073 L1726.41 181.564 L1730.92 181.564 L1739.02 201.841 L1747.12 181.564 L1751.64 181.564 L1740.25 209.897 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip310)\" d=\"M 0 0 M1760.74 203.554 L1777.05 203.554 L1777.05 207.49 L1755.11 207.49 L1755.11 203.554 Q1757.77 200.8 1762.36 196.17 Q1766.96 191.517 1768.14 190.175 Q1770.39 187.652 1771.27 185.916 Q1772.17 184.156 1772.17 182.467 Q1772.17 179.712 1770.23 177.976 Q1768.3 176.24 1765.2 176.24 Q1763 176.24 1760.55 177.004 Q1758.12 177.767 1755.34 179.318 L1755.34 174.596 Q1758.17 173.462 1760.62 172.883 Q1763.07 172.305 1765.11 172.305 Q1770.48 172.305 1773.67 174.99 Q1776.87 177.675 1776.87 182.166 Q1776.87 184.295 1776.06 186.217 Q1775.27 188.115 1773.17 190.707 Q1772.59 191.379 1769.49 194.596 Q1766.38 197.791 1760.74 203.554 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 44
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "source": [
    "plot(0:0.01:0.99, x -> (x/(1-x) - -1/log(x)))"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"480\" height=\"200\" viewBox=\"0 0 1920 800\">\n<defs>\n  <clipPath id=\"clip350\">\n    <rect x=\"0\" y=\"0\" width=\"1920\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip350)\" d=\"\nM0 800 L1920 800 L1920 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip351\">\n    <rect x=\"384\" y=\"0\" width=\"1345\" height=\"800\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip350)\" d=\"\nM176.335 707.408 L1872.76 707.408 L1872.76 47.2441 L176.335 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip352\">\n    <rect x=\"176\" y=\"47\" width=\"1697\" height=\"661\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  224.347,707.408 224.347,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  628.488,707.408 628.488,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1032.63,707.408 1032.63,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1436.77,707.408 1436.77,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1840.91,707.408 1840.91,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,707.408 1872.76,707.408 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  224.347,707.408 224.347,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  628.488,707.408 628.488,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1032.63,707.408 1032.63,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1436.77,707.408 1436.77,699.486 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1840.91,707.408 1840.91,699.486 \n  \"/>\n<path clip-path=\"url(#clip350)\" d=\"M 0 0 M192.356 732.759 Q188.745 732.759 186.917 736.323 Q185.111 739.865 185.111 746.995 Q185.111 754.101 186.917 757.666 Q188.745 761.207 192.356 761.207 Q195.991 761.207 197.796 757.666 Q199.625 754.101 199.625 746.995 Q199.625 739.865 197.796 736.323 Q195.991 732.759 192.356 732.759 M192.356 729.055 Q198.167 729.055 201.222 733.661 Q204.301 738.245 204.301 746.995 Q204.301 755.721 201.222 760.328 Q198.167 764.911 192.356 764.911 Q186.546 764.911 183.468 760.328 Q180.412 755.721 180.412 746.995 Q180.412 738.245 183.468 733.661 Q186.546 729.055 192.356 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M209.37 758.36 L214.255 758.36 L214.255 764.24 L209.37 764.24 L209.37 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M229.324 732.759 Q225.713 732.759 223.884 736.323 Q222.079 739.865 222.079 746.995 Q222.079 754.101 223.884 757.666 Q225.713 761.207 229.324 761.207 Q232.958 761.207 234.764 757.666 Q236.592 754.101 236.592 746.995 Q236.592 739.865 234.764 736.323 Q232.958 732.759 229.324 732.759 M229.324 729.055 Q235.134 729.055 238.19 733.661 Q241.268 738.245 241.268 746.995 Q241.268 755.721 238.19 760.328 Q235.134 764.911 229.324 764.911 Q223.514 764.911 220.435 760.328 Q217.379 755.721 217.379 746.995 Q217.379 738.245 220.435 733.661 Q223.514 729.055 229.324 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M256.338 732.759 Q252.727 732.759 250.898 736.323 Q249.092 739.865 249.092 746.995 Q249.092 754.101 250.898 757.666 Q252.727 761.207 256.338 761.207 Q259.972 761.207 261.777 757.666 Q263.606 754.101 263.606 746.995 Q263.606 739.865 261.777 736.323 Q259.972 732.759 256.338 732.759 M256.338 729.055 Q262.148 729.055 265.203 733.661 Q268.282 738.245 268.282 746.995 Q268.282 755.721 265.203 760.328 Q262.148 764.911 256.338 764.911 Q250.527 764.911 247.449 760.328 Q244.393 755.721 244.393 746.995 Q244.393 738.245 247.449 733.661 Q250.527 729.055 256.338 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M597.793 732.759 Q594.182 732.759 592.354 736.323 Q590.548 739.865 590.548 746.995 Q590.548 754.101 592.354 757.666 Q594.182 761.207 597.793 761.207 Q601.428 761.207 603.233 757.666 Q605.062 754.101 605.062 746.995 Q605.062 739.865 603.233 736.323 Q601.428 732.759 597.793 732.759 M597.793 729.055 Q603.604 729.055 606.659 733.661 Q609.738 738.245 609.738 746.995 Q609.738 755.721 606.659 760.328 Q603.604 764.911 597.793 764.911 Q591.983 764.911 588.905 760.328 Q585.849 755.721 585.849 746.995 Q585.849 738.245 588.905 733.661 Q591.983 729.055 597.793 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M614.807 758.36 L619.691 758.36 L619.691 764.24 L614.807 764.24 L614.807 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M628.789 760.305 L645.108 760.305 L645.108 764.24 L623.164 764.24 L623.164 760.305 Q625.826 757.55 630.409 752.92 Q635.015 748.268 636.196 746.925 Q638.441 744.402 639.321 742.666 Q640.224 740.907 640.224 739.217 Q640.224 736.462 638.279 734.726 Q636.358 732.99 633.256 732.99 Q631.057 732.99 628.603 733.754 Q626.173 734.518 623.395 736.069 L623.395 731.347 Q626.219 730.212 628.673 729.634 Q631.127 729.055 633.164 729.055 Q638.534 729.055 641.728 731.74 Q644.923 734.425 644.923 738.916 Q644.923 741.046 644.113 742.967 Q643.326 744.865 641.219 747.458 Q640.64 748.129 637.539 751.346 Q634.437 754.541 628.789 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M650.224 729.68 L668.58 729.68 L668.58 733.615 L654.506 733.615 L654.506 742.087 Q655.525 741.74 656.543 741.578 Q657.562 741.393 658.58 741.393 Q664.367 741.393 667.747 744.564 Q671.126 747.735 671.126 753.152 Q671.126 758.731 667.654 761.832 Q664.182 764.911 657.863 764.911 Q655.687 764.911 653.418 764.541 Q651.173 764.17 648.765 763.43 L648.765 758.731 Q650.849 759.865 653.071 760.42 Q655.293 760.976 657.77 760.976 Q661.775 760.976 664.113 758.87 Q666.45 756.763 666.45 753.152 Q666.45 749.541 664.113 747.434 Q661.775 745.328 657.77 745.328 Q655.895 745.328 654.02 745.745 Q652.168 746.161 650.224 747.041 L650.224 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1001.14 732.759 Q997.524 732.759 995.696 736.323 Q993.89 739.865 993.89 746.995 Q993.89 754.101 995.696 757.666 Q997.524 761.207 1001.14 761.207 Q1004.77 761.207 1006.58 757.666 Q1008.4 754.101 1008.4 746.995 Q1008.4 739.865 1006.58 736.323 Q1004.77 732.759 1001.14 732.759 M1001.14 729.055 Q1006.95 729.055 1010 733.661 Q1013.08 738.245 1013.08 746.995 Q1013.08 755.721 1010 760.328 Q1006.95 764.911 1001.14 764.911 Q995.325 764.911 992.247 760.328 Q989.191 755.721 989.191 746.995 Q989.191 738.245 992.247 733.661 Q995.325 729.055 1001.14 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1018.15 758.36 L1023.03 758.36 L1023.03 764.24 L1018.15 764.24 L1018.15 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1028.15 729.68 L1046.51 729.68 L1046.51 733.615 L1032.43 733.615 L1032.43 742.087 Q1033.45 741.74 1034.47 741.578 Q1035.49 741.393 1036.51 741.393 Q1042.29 741.393 1045.67 744.564 Q1049.05 747.735 1049.05 753.152 Q1049.05 758.731 1045.58 761.832 Q1042.11 764.911 1035.79 764.911 Q1033.61 764.911 1031.34 764.541 Q1029.1 764.17 1026.69 763.43 L1026.69 758.731 Q1028.77 759.865 1031 760.42 Q1033.22 760.976 1035.7 760.976 Q1039.7 760.976 1042.04 758.87 Q1044.38 756.763 1044.38 753.152 Q1044.38 749.541 1042.04 747.434 Q1039.7 745.328 1035.7 745.328 Q1033.82 745.328 1031.95 745.745 Q1030.09 746.161 1028.15 747.041 L1028.15 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1064.12 732.759 Q1060.51 732.759 1058.68 736.323 Q1056.88 739.865 1056.88 746.995 Q1056.88 754.101 1058.68 757.666 Q1060.51 761.207 1064.12 761.207 Q1067.76 761.207 1069.56 757.666 Q1071.39 754.101 1071.39 746.995 Q1071.39 739.865 1069.56 736.323 Q1067.76 732.759 1064.12 732.759 M1064.12 729.055 Q1069.93 729.055 1072.99 733.661 Q1076.07 738.245 1076.07 746.995 Q1076.07 755.721 1072.99 760.328 Q1069.93 764.911 1064.12 764.911 Q1058.31 764.911 1055.23 760.328 Q1052.18 755.721 1052.18 746.995 Q1052.18 738.245 1055.23 733.661 Q1058.31 729.055 1064.12 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1405.73 732.759 Q1402.12 732.759 1400.29 736.323 Q1398.48 739.865 1398.48 746.995 Q1398.48 754.101 1400.29 757.666 Q1402.12 761.207 1405.73 761.207 Q1409.36 761.207 1411.17 757.666 Q1413 754.101 1413 746.995 Q1413 739.865 1411.17 736.323 Q1409.36 732.759 1405.73 732.759 M1405.73 729.055 Q1411.54 729.055 1414.59 733.661 Q1417.67 738.245 1417.67 746.995 Q1417.67 755.721 1414.59 760.328 Q1411.54 764.911 1405.73 764.911 Q1399.92 764.911 1396.84 760.328 Q1393.78 755.721 1393.78 746.995 Q1393.78 738.245 1396.84 733.661 Q1399.92 729.055 1405.73 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1422.74 758.36 L1427.63 758.36 L1427.63 764.24 L1422.74 764.24 L1422.74 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1431.51 729.68 L1453.74 729.68 L1453.74 731.671 L1441.19 764.24 L1436.31 764.24 L1448.11 733.615 L1431.51 733.615 L1431.51 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1458.85 729.68 L1477.21 729.68 L1477.21 733.615 L1463.13 733.615 L1463.13 742.087 Q1464.15 741.74 1465.17 741.578 Q1466.19 741.393 1467.21 741.393 Q1473 741.393 1476.38 744.564 Q1479.75 747.735 1479.75 753.152 Q1479.75 758.731 1476.28 761.832 Q1472.81 764.911 1466.49 764.911 Q1464.32 764.911 1462.05 764.541 Q1459.8 764.17 1457.39 763.43 L1457.39 758.731 Q1459.48 759.865 1461.7 760.42 Q1463.92 760.976 1466.4 760.976 Q1470.4 760.976 1472.74 758.87 Q1475.08 756.763 1475.08 753.152 Q1475.08 749.541 1472.74 747.434 Q1470.4 745.328 1466.4 745.328 Q1464.52 745.328 1462.65 745.745 Q1460.8 746.161 1458.85 747.041 L1458.85 729.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1799.3 760.305 L1806.94 760.305 L1806.94 733.939 L1798.63 735.606 L1798.63 731.347 L1806.89 729.68 L1811.57 729.68 L1811.57 760.305 L1819.21 760.305 L1819.21 764.24 L1799.3 764.24 L1799.3 760.305 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1824.28 758.36 L1829.16 758.36 L1829.16 764.24 L1824.28 764.24 L1824.28 758.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1844.23 732.759 Q1840.62 732.759 1838.79 736.323 Q1836.99 739.865 1836.99 746.995 Q1836.99 754.101 1838.79 757.666 Q1840.62 761.207 1844.23 761.207 Q1847.87 761.207 1849.67 757.666 Q1851.5 754.101 1851.5 746.995 Q1851.5 739.865 1849.67 736.323 Q1847.87 732.759 1844.23 732.759 M1844.23 729.055 Q1850.04 729.055 1853.1 733.661 Q1856.18 738.245 1856.18 746.995 Q1856.18 755.721 1853.1 760.328 Q1850.04 764.911 1844.23 764.911 Q1838.42 764.911 1835.34 760.328 Q1832.29 755.721 1832.29 746.995 Q1832.29 738.245 1835.34 733.661 Q1838.42 729.055 1844.23 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1871.25 732.759 Q1867.63 732.759 1865.81 736.323 Q1864 739.865 1864 746.995 Q1864 754.101 1865.81 757.666 Q1867.63 761.207 1871.25 761.207 Q1874.88 761.207 1876.68 757.666 Q1878.51 754.101 1878.51 746.995 Q1878.51 739.865 1876.68 736.323 Q1874.88 732.759 1871.25 732.759 M1871.25 729.055 Q1877.06 729.055 1880.11 733.661 Q1883.19 738.245 1883.19 746.995 Q1883.19 755.721 1880.11 760.328 Q1877.06 764.911 1871.25 764.911 Q1865.43 764.911 1862.36 760.328 Q1859.3 755.721 1859.3 746.995 Q1859.3 738.245 1862.36 733.661 Q1865.43 729.055 1871.25 729.055 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,689.769 1872.76,689.769 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,565.001 1872.76,565.001 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,440.233 1872.76,440.233 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,315.464 1872.76,315.464 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,190.696 1872.76,190.696 \n  \"/>\n<polyline clip-path=\"url(#clip352)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  176.335,65.928 1872.76,65.928 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,707.408 176.335,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,689.769 196.692,689.769 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,565.001 196.692,565.001 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,440.233 196.692,440.233 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,315.464 196.692,315.464 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,190.696 196.692,190.696 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  176.335,65.928 196.692,65.928 \n  \"/>\n<path clip-path=\"url(#clip350)\" d=\"M 0 0 M54.8736 690.22 L84.5494 690.22 L84.5494 694.156 L54.8736 694.156 L54.8736 690.22 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M99.6187 675.568 Q96.0076 675.568 94.1789 679.132 Q92.3734 682.674 92.3734 689.804 Q92.3734 696.91 94.1789 700.475 Q96.0076 704.017 99.6187 704.017 Q103.253 704.017 105.059 700.475 Q106.887 696.91 106.887 689.804 Q106.887 682.674 105.059 679.132 Q103.253 675.568 99.6187 675.568 M99.6187 671.864 Q105.429 671.864 108.484 676.47 Q111.563 681.054 111.563 689.804 Q111.563 698.53 108.484 703.137 Q105.429 707.72 99.6187 707.72 Q93.8086 707.72 90.7299 703.137 Q87.6743 698.53 87.6743 689.804 Q87.6743 681.054 90.7299 676.47 Q93.8086 671.864 99.6187 671.864 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M116.633 701.169 L121.517 701.169 L121.517 707.049 L116.633 707.049 L116.633 701.169 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M126.632 672.489 L144.989 672.489 L144.989 676.424 L130.915 676.424 L130.915 684.896 Q131.933 684.549 132.952 684.387 Q133.97 684.202 134.989 684.202 Q140.776 684.202 144.156 687.373 Q147.535 690.544 147.535 695.961 Q147.535 701.54 144.063 704.642 Q140.591 707.72 134.271 707.72 Q132.095 707.72 129.827 707.35 Q127.582 706.98 125.174 706.239 L125.174 701.54 Q127.257 702.674 129.48 703.23 Q131.702 703.785 134.179 703.785 Q138.183 703.785 140.521 701.679 Q142.859 699.572 142.859 695.961 Q142.859 692.35 140.521 690.243 Q138.183 688.137 134.179 688.137 Q132.304 688.137 130.429 688.554 Q128.577 688.97 126.632 689.85 L126.632 672.489 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M53.3921 565.452 L83.0679 565.452 L83.0679 569.387 L53.3921 569.387 L53.3921 565.452 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M98.1373 550.799 Q94.5262 550.799 92.6975 554.364 Q90.8919 557.906 90.8919 565.035 Q90.8919 572.142 92.6975 575.707 Q94.5262 579.248 98.1373 579.248 Q101.771 579.248 103.577 575.707 Q105.406 572.142 105.406 565.035 Q105.406 557.906 103.577 554.364 Q101.771 550.799 98.1373 550.799 M98.1373 547.096 Q103.947 547.096 107.003 551.702 Q110.082 556.286 110.082 565.035 Q110.082 573.762 107.003 578.369 Q103.947 582.952 98.1373 582.952 Q92.3271 582.952 89.2484 578.369 Q86.1929 573.762 86.1929 565.035 Q86.1929 556.286 89.2484 551.702 Q92.3271 547.096 98.1373 547.096 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M115.151 576.401 L120.035 576.401 L120.035 582.281 L115.151 582.281 L115.151 576.401 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M137.952 551.795 L126.146 570.244 L137.952 570.244 L137.952 551.795 M136.725 547.721 L142.605 547.721 L142.605 570.244 L147.535 570.244 L147.535 574.133 L142.605 574.133 L142.605 582.281 L137.952 582.281 L137.952 574.133 L122.35 574.133 L122.35 569.619 L136.725 547.721 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M54.5264 440.684 L84.2021 440.684 L84.2021 444.619 L54.5264 444.619 L54.5264 440.684 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M99.2715 426.031 Q95.6604 426.031 93.8317 429.596 Q92.0262 433.138 92.0262 440.267 Q92.0262 447.374 93.8317 450.939 Q95.6604 454.48 99.2715 454.48 Q102.906 454.48 104.711 450.939 Q106.54 447.374 106.54 440.267 Q106.54 433.138 104.711 429.596 Q102.906 426.031 99.2715 426.031 M99.2715 422.328 Q105.082 422.328 108.137 426.934 Q111.216 431.517 111.216 440.267 Q111.216 448.994 108.137 453.601 Q105.082 458.184 99.2715 458.184 Q93.4614 458.184 90.3827 453.601 Q87.3271 448.994 87.3271 440.267 Q87.3271 431.517 90.3827 426.934 Q93.4614 422.328 99.2715 422.328 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M116.285 451.633 L121.17 451.633 L121.17 457.513 L116.285 457.513 L116.285 451.633 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M140.406 438.878 Q143.762 439.596 145.637 441.865 Q147.535 444.133 147.535 447.466 Q147.535 452.582 144.017 455.383 Q140.498 458.184 134.017 458.184 Q131.841 458.184 129.526 457.744 Q127.234 457.327 124.781 456.471 L124.781 451.957 Q126.725 453.091 129.04 453.67 Q131.355 454.249 133.878 454.249 Q138.276 454.249 140.568 452.513 Q142.882 450.776 142.882 447.466 Q142.882 444.411 140.73 442.698 Q138.6 440.962 134.781 440.962 L130.753 440.962 L130.753 437.119 L134.966 437.119 Q138.415 437.119 140.244 435.753 Q142.072 434.365 142.072 431.772 Q142.072 429.11 140.174 427.698 Q138.299 426.263 134.781 426.263 Q132.859 426.263 130.66 426.679 Q128.461 427.096 125.822 427.976 L125.822 423.809 Q128.484 423.068 130.799 422.698 Q133.137 422.328 135.197 422.328 Q140.521 422.328 143.623 424.758 Q146.725 427.166 146.725 431.286 Q146.725 434.156 145.081 436.147 Q143.438 438.115 140.406 438.878 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M55.4754 315.916 L85.1512 315.916 L85.1512 319.851 L55.4754 319.851 L55.4754 315.916 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M100.221 301.263 Q96.6095 301.263 94.7808 304.828 Q92.9752 308.369 92.9752 315.499 Q92.9752 322.606 94.7808 326.17 Q96.6095 329.712 100.221 329.712 Q103.855 329.712 105.66 326.17 Q107.489 322.606 107.489 315.499 Q107.489 308.369 105.66 304.828 Q103.855 301.263 100.221 301.263 M100.221 297.559 Q106.031 297.559 109.086 302.166 Q112.165 306.749 112.165 315.499 Q112.165 324.226 109.086 328.832 Q106.031 333.416 100.221 333.416 Q94.4104 333.416 91.3317 328.832 Q88.2762 324.226 88.2762 315.499 Q88.2762 306.749 91.3317 302.166 Q94.4104 297.559 100.221 297.559 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M117.234 326.865 L122.119 326.865 L122.119 332.744 L117.234 332.744 L117.234 326.865 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M131.216 328.809 L147.535 328.809 L147.535 332.744 L125.591 332.744 L125.591 328.809 Q128.253 326.055 132.836 321.425 Q137.443 316.772 138.623 315.43 Q140.869 312.907 141.748 311.17 Q142.651 309.411 142.651 307.721 Q142.651 304.967 140.706 303.231 Q138.785 301.495 135.683 301.495 Q133.484 301.495 131.031 302.258 Q128.6 303.022 125.822 304.573 L125.822 299.851 Q128.646 298.717 131.1 298.138 Q133.554 297.559 135.591 297.559 Q140.961 297.559 144.156 300.245 Q147.35 302.93 147.35 307.42 Q147.35 309.55 146.54 311.471 Q145.753 313.369 143.646 315.962 Q143.068 316.633 139.966 319.851 Q136.864 323.045 131.216 328.809 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M55.1051 191.148 L84.7808 191.148 L84.7808 195.083 L55.1051 195.083 L55.1051 191.148 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M99.8502 176.495 Q96.2391 176.495 94.4104 180.06 Q92.6049 183.601 92.6049 190.731 Q92.6049 197.837 94.4104 201.402 Q96.2391 204.944 99.8502 204.944 Q103.484 204.944 105.29 201.402 Q107.119 197.837 107.119 190.731 Q107.119 183.601 105.29 180.06 Q103.484 176.495 99.8502 176.495 M99.8502 172.791 Q105.66 172.791 108.716 177.398 Q111.795 181.981 111.795 190.731 Q111.795 199.458 108.716 204.064 Q105.66 208.647 99.8502 208.647 Q94.0401 208.647 90.9614 204.064 Q87.9058 199.458 87.9058 190.731 Q87.9058 181.981 90.9614 177.398 Q94.0401 172.791 99.8502 172.791 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M116.864 202.097 L121.748 202.097 L121.748 207.976 L116.864 207.976 L116.864 202.097 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M127.628 204.041 L135.267 204.041 L135.267 177.675 L126.957 179.342 L126.957 175.083 L135.22 173.416 L139.896 173.416 L139.896 204.041 L147.535 204.041 L147.535 207.976 L127.628 207.976 L127.628 204.041 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M98.6234 51.7267 Q95.0123 51.7267 93.1836 55.2915 Q91.378 58.8331 91.378 65.9627 Q91.378 73.0691 93.1836 76.6339 Q95.0123 80.1756 98.6234 80.1756 Q102.258 80.1756 104.063 76.6339 Q105.892 73.0691 105.892 65.9627 Q105.892 58.8331 104.063 55.2915 Q102.258 51.7267 98.6234 51.7267 M98.6234 48.023 Q104.434 48.023 107.489 52.6294 Q110.568 57.2127 110.568 65.9627 Q110.568 74.6895 107.489 79.296 Q104.434 83.8793 98.6234 83.8793 Q92.8132 83.8793 89.7345 79.296 Q86.679 74.6895 86.679 65.9627 Q86.679 57.2127 89.7345 52.6294 Q92.8132 48.023 98.6234 48.023 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M115.637 77.3284 L120.521 77.3284 L120.521 83.208 L115.637 83.208 L115.637 77.3284 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M135.591 51.7267 Q131.98 51.7267 130.151 55.2915 Q128.345 58.8331 128.345 65.9627 Q128.345 73.0691 130.151 76.6339 Q131.98 80.1756 135.591 80.1756 Q139.225 80.1756 141.031 76.6339 Q142.859 73.0691 142.859 65.9627 Q142.859 58.8331 141.031 55.2915 Q139.225 51.7267 135.591 51.7267 M135.591 48.023 Q141.401 48.023 144.456 52.6294 Q147.535 57.2127 147.535 65.9627 Q147.535 74.6895 144.456 79.296 Q141.401 83.8793 135.591 83.8793 Q129.781 83.8793 126.702 79.296 Q123.646 74.6895 123.646 65.9627 Q123.646 57.2127 126.702 52.6294 Q129.781 48.023 135.591 48.023 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip352)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  224.347,65.928 240.513,324.256 256.678,359.4 272.844,383.154 289.01,401.555 305.175,416.747 321.341,429.765 337.506,441.2 353.672,451.423 369.838,460.683 \n  386.003,469.158 402.169,476.979 418.335,484.246 434.5,491.035 450.666,497.41 466.831,503.42 482.997,509.107 499.163,514.505 515.328,519.643 531.494,524.547 \n  547.66,529.236 563.825,533.73 579.991,538.045 596.156,542.194 612.322,546.191 628.488,550.046 644.653,553.77 660.819,557.37 676.985,560.856 693.15,564.234 \n  709.316,567.511 725.481,570.693 741.647,573.785 757.813,576.792 773.978,579.718 790.144,582.569 806.31,585.347 822.475,588.057 838.641,590.701 854.806,593.283 \n  870.972,595.806 887.138,598.272 903.303,600.683 919.469,603.043 935.635,605.353 951.8,607.614 967.966,609.83 984.131,612.002 1000.3,614.132 1016.46,616.221 \n  1032.63,618.271 1048.79,620.282 1064.96,622.258 1081.13,624.198 1097.29,626.104 1113.46,627.977 1129.62,629.818 1145.79,631.629 1161.95,633.41 1178.12,635.162 \n  1194.28,636.886 1210.45,638.583 1226.62,640.254 1242.78,641.9 1258.95,643.52 1275.11,645.117 1291.28,646.69 1307.44,648.241 1323.61,649.769 1339.78,651.276 \n  1355.94,652.763 1372.11,654.228 1388.27,655.675 1404.44,657.101 1420.6,658.509 1436.77,659.899 1452.93,661.271 1469.1,662.625 1485.27,663.962 1501.43,665.283 \n  1517.6,666.587 1533.76,667.876 1549.93,669.149 1566.09,670.407 1582.26,671.65 1598.43,672.879 1614.59,674.093 1630.76,675.294 1646.92,676.481 1663.09,677.655 \n  1679.25,678.816 1695.42,679.965 1711.58,681.1 1727.75,682.224 1743.92,683.336 1760.08,684.436 1776.25,685.525 1792.41,686.602 1808.58,687.668 1824.74,688.724 \n  \n  \"/>\n<path clip-path=\"url(#clip350)\" d=\"\nM1576.7 190.21 L1816.21 190.21 L1816.21 69.2496 L1576.7 69.2496  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1576.7,190.21 1816.21,190.21 1816.21,69.2496 1576.7,69.2496 1576.7,190.21 \n  \"/>\n<polyline clip-path=\"url(#clip350)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1595.55,129.73 1708.64,129.73 \n  \"/>\n<path clip-path=\"url(#clip350)\" d=\"M 0 0 M1741.33 149.417 Q1739.53 154.047 1737.82 155.459 Q1736.1 156.871 1733.23 156.871 L1729.83 156.871 L1729.83 153.306 L1732.33 153.306 Q1734.09 153.306 1735.06 152.472 Q1736.03 151.639 1737.21 148.537 L1737.98 146.593 L1727.49 121.084 L1732.01 121.084 L1740.11 141.361 L1748.21 121.084 L1752.72 121.084 L1741.33 149.417 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip350)\" d=\"M 0 0 M1758.6 143.074 L1766.24 143.074 L1766.24 116.709 L1757.93 118.375 L1757.93 114.116 L1766.2 112.45 L1770.87 112.45 L1770.87 143.074 L1778.51 143.074 L1778.51 147.01 L1758.6 147.01 L1758.6 143.074 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
     },
     "metadata": {},
     "execution_count": 45
    }
   ],
   "metadata": {}
  }
 ],
 "metadata": {
  "orig_nbformat": 4,
  "language_info": {
   "name": "julia",
   "version": "1.6.0",
   "mimetype": "application/julia",
   "file_extension": ".jl"
  },
  "kernelspec": {
   "display_name": "Julia 1.6.0",
   "language": "julia",
   "name": "julia-1.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}