ipynb/julien_pascal-young_2010_quantecon.ipynb

{
    "cells": [
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "# Young (2010) method to simulate a cross-section\n",
                "\n",
                "Author: Julien Pascal\n",
                "\n",
                "https://julienpascal.github.io/\n",
                "\n",
                "\n",
                "---"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "## Introduction\n",
                "\n",
                "Solving economic models involves (i) finding the **optimal response of individuals** given the state of the economy (the policy functions); (ii) given the policy functions, **simulating the model**. While usually one must show great ingenuity and creativity for the former, the latter is often seen as trivial and not even mentioned. However, in this notebook I describe a simulation procedure that deserves to be advertised. Namely, I describe [Young's method (2010)](https://ideas.repec.org/a/eee/dyncon/v34y2010i1p36-41.html) to simulate a large number (infinity) of individuals."
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "## Why should we care?"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "In economies with heterogeneous agents, often there is no such thing as a [representative agent](https://en.wikipedia.org/wiki/Representative_agent#:~:text=Economists%20use%20the%20term%20representative,the%20same%20type%20are%20identical.). Generally, one must follow a large number of individuals. For instance, one may be interested in knowing how the average wage responds to an increase in labor productivity. If workers are different (in terms of skills, experience, firms in which they work, etc.), one must take into consideration changes in individuals' wages to determine how the average wage moves."
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "## The method"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "The method avoids simulating a panel of agents. Instead, the idea is to simulate directly the distribution.\n",
                "In practice, one chooses a grid $[w_1, w_2, ..., w_N]$\n",
                "\n",
                "If a measure $m$ of workers choose to consume $w$, with $w \\in [w_{n}, w_{n+1}]$, then the mass assigned to the grid point $w_{n}$ is equal to $m \\times p$ and the mass assigned to the grid point $w_{n+1}$ is $m \\times (1 - p)$ with\n",
                "\n",
                "$$ p = 1 - \\frac{w - w_{n}}{w_{n+1} - w_{n}} $$\n",
                "\n",
                "If $w$ is very close to $w_{n}$, then most of the mass $m$ will be assigned to this point. In the limit case, if $w$ is equal to $w_{n}$, $100$ \\% of the mass is assigned to $w_{n}$.\n",
                "\n",
                "Simple, right? The code below is an implementation of [Young's method (2010)](https://ideas.repec.org/a/eee/dyncon/v34y2010i1p36-41.html) using [Julia](https://julialang.org/)."
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "## Implementation"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Preliminaries"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Let's first start by loading a few packages and declaring auxiliaries functions. In particular, given a value $w$ we need a function that returns the closest value $w_k$, where $w_k$ is picked from given grid $w_1, w_2, ..., w_N$"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 30,
            "metadata": {
                "scrolled": true
            },
            "outputs": [
                {
                    "data": {
                        "text/plain": [
                            "closest_value_and_index (generic function with 1 method)"
                        ]
                    },
                    "execution_count": 30,
                    "metadata": {},
                    "output_type": "execute_result"
                }
            ],
            "source": [
                "using Plots\n",
                "using Distributions\n",
                "using StatsBase\n",
                "\n",
                "# Matlab like function\n",
                "function linspace(z_start::Real, z_end::Real, z_n::Int64)\n",
                "    return collect(range(z_start,stop=z_end,length=z_n))\n",
                "end\n",
                "\n",
                "# Not my function. Credit to: https://discourse.julialang.org/t/findnearest-function/4143/4\n",
                "function closest_index(a::Vector,x::Real)\n",
                "\n",
                "    if isempty(a) == true\n",
                "      error(\"xGrid is empty in function closest_index.\")\n",
                "    end\n",
                "\n",
                "    if isnan(x) == true\n",
                "      error(\"val is NaN in function closest_index.\")\n",
                "    end\n",
                "\n",
                "   idx = searchsortedfirst(a,x)\n",
                "   if (idx==1); return idx; end\n",
                "   if (idx>length(a)); return length(a); end\n",
                "   if (a[idx]==x); return idx; end\n",
                "   if (abs(a[idx]-x) < abs(a[idx-1]-x))\n",
                "      return idx\n",
                "   else\n",
                "      return idx-1\n",
                "   end\n",
                "end\n",
                "\n",
                "# Returns best index and best value\n",
                "function closest_value_and_index(xGrid::Vector, val::Real)\n",
                "\n",
                "    # get index\n",
                "    ibest = closest_index(xGrid, val)\n",
                "\n",
                "    # Return best value on grid, and the corresponding index\n",
                "    return xGrid[ibest], ibest\n",
                "\n",
                "end\n"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Approximate a distribution with a single mass point"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "To warm up, let's see how the method works when the true underlying distribution is constituted of **a single mass point**."
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 35,
            "metadata": {
                "scrolled": true
            },
            "outputs": [
                {
                    "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=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip200\">\n",
                            "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"\n",
                            "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip201\">\n",
                            "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"\n",
                            "M148.334 1486.45 L2352.76 1486.45 L2352.76 47.2441 L148.334 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip202\">\n",
                            "    <rect x=\"148\" y=\"47\" width=\"2205\" height=\"1440\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  349.66,1486.45 349.66,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  800.103,1486.45 800.103,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1250.55,1486.45 1250.55,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1700.99,1486.45 1700.99,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2151.43,1486.45 2151.43,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,1445.72 2352.76,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,1228.48 2352.76,1228.48 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,1011.24 2352.76,1011.24 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,794.001 2352.76,794.001 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,576.762 2352.76,576.762 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,359.524 2352.76,359.524 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  148.334,142.286 2352.76,142.286 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,1486.45 2352.76,1486.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,1486.45 148.334,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  349.66,1486.45 349.66,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  800.103,1486.45 800.103,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1250.55,1486.45 1250.55,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1700.99,1486.45 1700.99,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2151.43,1486.45 2151.43,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,1445.72 174.787,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,1228.48 174.787,1228.48 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,1011.24 174.787,1011.24 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,794.001 174.787,794.001 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,576.762 174.787,576.762 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,359.524 174.787,359.524 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  148.334,142.286 174.787,142.286 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"M 0 0 M349.66 1508.44 Q346.049 1508.44 344.22 1512 Q342.415 1515.55 342.415 1522.67 Q342.415 1529.78 344.22 1533.35 Q346.049 1536.89 349.66 1536.89 Q353.294 1536.89 355.1 1533.35 Q356.929 1529.78 356.929 1522.67 Q356.929 1515.55 355.1 1512 Q353.294 1508.44 349.66 1508.44 M349.66 1504.73 Q355.47 1504.73 358.526 1509.34 Q361.605 1513.92 361.605 1522.67 Q361.605 1531.4 358.526 1536.01 Q355.47 1540.59 349.66 1540.59 Q343.85 1540.59 340.771 1536.01 Q337.716 1531.4 337.716 1522.67 Q337.716 1513.92 340.771 1509.34 Q343.85 1504.73 349.66 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M790.485 1535.98 L798.123 1535.98 L798.123 1509.62 L789.813 1511.29 L789.813 1507.03 L798.077 1505.36 L802.753 1505.36 L802.753 1535.98 L810.392 1535.98 L810.392 1539.92 L790.485 1539.92 L790.485 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M1245.2 1535.98 L1261.52 1535.98 L1261.52 1539.92 L1239.57 1539.92 L1239.57 1535.98 Q1242.24 1533.23 1246.82 1528.6 Q1251.42 1523.95 1252.61 1522.61 Q1254.85 1520.08 1255.73 1518.35 Q1256.63 1516.59 1256.63 1514.9 Q1256.63 1512.14 1254.69 1510.41 Q1252.77 1508.67 1249.67 1508.67 Q1247.47 1508.67 1245.01 1509.43 Q1242.58 1510.2 1239.8 1511.75 L1239.8 1507.03 Q1242.63 1505.89 1245.08 1505.31 Q1247.54 1504.73 1249.57 1504.73 Q1254.94 1504.73 1258.14 1507.42 Q1261.33 1510.11 1261.33 1514.6 Q1261.33 1516.73 1260.52 1518.65 Q1259.73 1520.54 1257.63 1523.14 Q1257.05 1523.81 1253.95 1527.03 Q1250.85 1530.22 1245.2 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M1705.24 1521.29 Q1708.59 1522 1710.47 1524.27 Q1712.36 1526.54 1712.36 1529.87 Q1712.36 1534.99 1708.85 1537.79 Q1705.33 1540.59 1698.85 1540.59 Q1696.67 1540.59 1694.36 1540.15 Q1692.06 1539.73 1689.61 1538.88 L1689.61 1534.36 Q1691.55 1535.5 1693.87 1536.08 Q1696.18 1536.66 1698.71 1536.66 Q1703.11 1536.66 1705.4 1534.92 Q1707.71 1533.18 1707.71 1529.87 Q1707.71 1526.82 1705.56 1525.11 Q1703.43 1523.37 1699.61 1523.37 L1695.58 1523.37 L1695.58 1519.53 L1699.8 1519.53 Q1703.24 1519.53 1705.07 1518.16 Q1706.9 1516.77 1706.9 1514.18 Q1706.9 1511.52 1705 1510.11 Q1703.13 1508.67 1699.61 1508.67 Q1697.69 1508.67 1695.49 1509.09 Q1693.29 1509.5 1690.65 1510.38 L1690.65 1506.22 Q1693.31 1505.48 1695.63 1505.11 Q1697.97 1504.73 1700.03 1504.73 Q1705.35 1504.73 1708.45 1507.17 Q1711.55 1509.57 1711.55 1513.69 Q1711.55 1516.56 1709.91 1518.55 Q1708.27 1520.52 1705.24 1521.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2154.44 1509.43 L2142.63 1527.88 L2154.44 1527.88 L2154.44 1509.43 M2153.21 1505.36 L2159.09 1505.36 L2159.09 1527.88 L2164.02 1527.88 L2164.02 1531.77 L2159.09 1531.77 L2159.09 1539.92 L2154.44 1539.92 L2154.44 1531.77 L2138.84 1531.77 L2138.84 1527.26 L2153.21 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M75.4226 1431.51 Q71.8115 1431.51 69.9828 1435.08 Q68.1773 1438.62 68.1773 1445.75 Q68.1773 1452.86 69.9828 1456.42 Q71.8115 1459.96 75.4226 1459.96 Q79.0569 1459.96 80.8624 1456.42 Q82.6911 1452.86 82.6911 1445.75 Q82.6911 1438.62 80.8624 1435.08 Q79.0569 1431.51 75.4226 1431.51 M75.4226 1427.81 Q81.2328 1427.81 84.2883 1432.42 Q87.367 1437 87.367 1445.75 Q87.367 1454.48 84.2883 1459.08 Q81.2328 1463.67 75.4226 1463.67 Q69.6125 1463.67 66.5338 1459.08 Q63.4782 1454.48 63.4782 1445.75 Q63.4782 1437 66.5338 1432.42 Q69.6125 1427.81 75.4226 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M92.4364 1457.12 L97.3206 1457.12 L97.3206 1463 L92.4364 1463 L92.4364 1457.12 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M112.39 1431.51 Q108.779 1431.51 106.95 1435.08 Q105.145 1438.62 105.145 1445.75 Q105.145 1452.86 106.95 1456.42 Q108.779 1459.96 112.39 1459.96 Q116.024 1459.96 117.83 1456.42 Q119.658 1452.86 119.658 1445.75 Q119.658 1438.62 117.83 1435.08 Q116.024 1431.51 112.39 1431.51 M112.39 1427.81 Q118.2 1427.81 121.256 1432.42 Q124.334 1437 124.334 1445.75 Q124.334 1454.48 121.256 1459.08 Q118.2 1463.67 112.39 1463.67 Q106.58 1463.67 103.501 1459.08 Q100.446 1454.48 100.446 1445.75 Q100.446 1437 103.501 1432.42 Q106.58 1427.81 112.39 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M76.6495 1214.28 Q73.0384 1214.28 71.2097 1217.84 Q69.4041 1221.38 69.4041 1228.51 Q69.4041 1235.62 71.2097 1239.18 Q73.0384 1242.72 76.6495 1242.72 Q80.2837 1242.72 82.0892 1239.18 Q83.9179 1235.62 83.9179 1228.51 Q83.9179 1221.38 82.0892 1217.84 Q80.2837 1214.28 76.6495 1214.28 M76.6495 1210.57 Q82.4596 1210.57 85.5152 1215.18 Q88.5938 1219.76 88.5938 1228.51 Q88.5938 1237.24 85.5152 1241.85 Q82.4596 1246.43 76.6495 1246.43 Q70.8393 1246.43 67.7606 1241.85 Q64.7051 1237.24 64.7051 1228.51 Q64.7051 1219.76 67.7606 1215.18 Q70.8393 1210.57 76.6495 1210.57 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M93.6633 1239.88 L98.5475 1239.88 L98.5475 1245.76 L93.6633 1245.76 L93.6633 1239.88 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M104.427 1241.82 L112.066 1241.82 L112.066 1215.46 L103.756 1217.12 L103.756 1212.86 L112.02 1211.2 L116.696 1211.2 L116.696 1241.82 L124.334 1241.82 L124.334 1245.76 L104.427 1245.76 L104.427 1241.82 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M77.0198 997.038 Q73.4087 997.038 71.58 1000.6 Q69.7745 1004.14 69.7745 1011.27 Q69.7745 1018.38 71.58 1021.95 Q73.4087 1025.49 77.0198 1025.49 Q80.6541 1025.49 82.4596 1021.95 Q84.2883 1018.38 84.2883 1011.27 Q84.2883 1004.14 82.4596 1000.6 Q80.6541 997.038 77.0198 997.038 M77.0198 993.334 Q82.83 993.334 85.8855 997.941 Q88.9642 1002.52 88.9642 1011.27 Q88.9642 1020 85.8855 1024.61 Q82.83 1029.19 77.0198 1029.19 Q71.2097 1029.19 68.131 1024.61 Q65.0754 1020 65.0754 1011.27 Q65.0754 1002.52 68.131 997.941 Q71.2097 993.334 77.0198 993.334 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M94.0336 1022.64 L98.9179 1022.64 L98.9179 1028.52 L94.0336 1028.52 L94.0336 1022.64 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M108.015 1024.58 L124.334 1024.58 L124.334 1028.52 L102.39 1028.52 L102.39 1024.58 Q105.052 1021.83 109.635 1017.2 Q114.242 1012.55 115.422 1011.2 Q117.668 1008.68 118.547 1006.95 Q119.45 1005.19 119.45 1003.5 Q119.45 1000.74 117.506 999.005 Q115.584 997.269 112.483 997.269 Q110.284 997.269 107.83 998.033 Q105.399 998.797 102.622 1000.35 L102.622 995.626 Q105.446 994.491 107.899 993.913 Q110.353 993.334 112.39 993.334 Q117.76 993.334 120.955 996.019 Q124.149 998.704 124.149 1003.2 Q124.149 1005.32 123.339 1007.25 Q122.552 1009.14 120.446 1011.74 Q119.867 1012.41 116.765 1015.63 Q113.663 1018.82 108.015 1024.58 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M76.0708 779.799 Q72.4597 779.799 70.631 783.364 Q68.8254 786.906 68.8254 794.035 Q68.8254 801.142 70.631 804.707 Q72.4597 808.248 76.0708 808.248 Q79.705 808.248 81.5105 804.707 Q83.3392 801.142 83.3392 794.035 Q83.3392 786.906 81.5105 783.364 Q79.705 779.799 76.0708 779.799 M76.0708 776.096 Q81.8809 776.096 84.9365 780.702 Q88.0151 785.286 88.0151 794.035 Q88.0151 802.762 84.9365 807.369 Q81.8809 811.952 76.0708 811.952 Q70.2606 811.952 67.1819 807.369 Q64.1264 802.762 64.1264 794.035 Q64.1264 785.286 67.1819 780.702 Q70.2606 776.096 76.0708 776.096 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M93.0846 805.401 L97.9688 805.401 L97.9688 811.281 L93.0846 811.281 L93.0846 805.401 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M117.205 792.647 Q120.561 793.364 122.436 795.633 Q124.334 797.901 124.334 801.235 Q124.334 806.35 120.816 809.151 Q117.297 811.952 110.816 811.952 Q108.64 811.952 106.325 811.512 Q104.034 811.096 101.58 810.239 L101.58 805.725 Q103.524 806.859 105.839 807.438 Q108.154 808.017 110.677 808.017 Q115.075 808.017 117.367 806.281 Q119.682 804.545 119.682 801.235 Q119.682 798.179 117.529 796.466 Q115.399 794.73 111.58 794.73 L107.552 794.73 L107.552 790.887 L111.765 790.887 Q115.214 790.887 117.043 789.522 Q118.871 788.133 118.871 785.54 Q118.871 782.878 116.973 781.466 Q115.098 780.031 111.58 780.031 Q109.659 780.031 107.459 780.448 Q105.26 780.864 102.622 781.744 L102.622 777.577 Q105.284 776.837 107.598 776.466 Q109.936 776.096 111.996 776.096 Q117.321 776.096 120.422 778.526 Q123.524 780.934 123.524 785.054 Q123.524 787.924 121.881 789.915 Q120.237 791.883 117.205 792.647 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M74.9365 562.561 Q71.3254 562.561 69.4967 566.126 Q67.6912 569.668 67.6912 576.797 Q67.6912 583.904 69.4967 587.468 Q71.3254 591.01 74.9365 591.01 Q78.5707 591.01 80.3763 587.468 Q82.205 583.904 82.205 576.797 Q82.205 569.668 80.3763 566.126 Q78.5707 562.561 74.9365 562.561 M74.9365 558.857 Q80.7467 558.857 83.8022 563.464 Q86.8809 568.047 86.8809 576.797 Q86.8809 585.524 83.8022 590.13 Q80.7467 594.714 74.9365 594.714 Q69.1264 594.714 66.0477 590.13 Q62.9921 585.524 62.9921 576.797 Q62.9921 568.047 66.0477 563.464 Q69.1264 558.857 74.9365 558.857 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M91.9503 588.163 L96.8345 588.163 L96.8345 594.042 L91.9503 594.042 L91.9503 588.163 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M114.751 563.557 L102.946 582.005 L114.751 582.005 L114.751 563.557 M113.524 559.482 L119.404 559.482 L119.404 582.005 L124.334 582.005 L124.334 585.894 L119.404 585.894 L119.404 594.042 L114.751 594.042 L114.751 585.894 L99.1493 585.894 L99.1493 581.38 L113.524 559.482 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M76.418 345.323 Q72.8069 345.323 70.9782 348.888 Q69.1726 352.429 69.1726 359.559 Q69.1726 366.665 70.9782 370.23 Q72.8069 373.772 76.418 373.772 Q80.0522 373.772 81.8578 370.23 Q83.6865 366.665 83.6865 359.559 Q83.6865 352.429 81.8578 348.888 Q80.0522 345.323 76.418 345.323 M76.418 341.619 Q82.2281 341.619 85.2837 346.226 Q88.3624 350.809 88.3624 359.559 Q88.3624 368.286 85.2837 372.892 Q82.2281 377.475 76.418 377.475 Q70.6078 377.475 67.5291 372.892 Q64.4736 368.286 64.4736 359.559 Q64.4736 350.809 67.5291 346.226 Q70.6078 341.619 76.418 341.619 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M93.4318 370.925 L98.316 370.925 L98.316 376.804 L93.4318 376.804 L93.4318 370.925 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M103.432 342.244 L121.788 342.244 L121.788 346.179 L107.714 346.179 L107.714 354.652 Q108.733 354.304 109.751 354.142 Q110.77 353.957 111.788 353.957 Q117.575 353.957 120.955 357.128 Q124.334 360.3 124.334 365.716 Q124.334 371.295 120.862 374.397 Q117.39 377.475 111.071 377.475 Q108.895 377.475 106.626 377.105 Q104.381 376.735 101.973 375.994 L101.973 371.295 Q104.057 372.429 106.279 372.985 Q108.501 373.54 110.978 373.54 Q114.983 373.54 117.321 371.434 Q119.658 369.327 119.658 365.716 Q119.658 362.105 117.321 359.999 Q114.983 357.892 110.978 357.892 Q109.103 357.892 107.228 358.309 Q105.376 358.726 103.432 359.605 L103.432 342.244 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M75.2606 128.085 Q71.6495 128.085 69.8208 131.649 Q68.0152 135.191 68.0152 142.321 Q68.0152 149.427 69.8208 152.992 Q71.6495 156.533 75.2606 156.533 Q78.8948 156.533 80.7004 152.992 Q82.5291 149.427 82.5291 142.321 Q82.5291 135.191 80.7004 131.649 Q78.8948 128.085 75.2606 128.085 M75.2606 124.381 Q81.0707 124.381 84.1263 128.987 Q87.205 133.571 87.205 142.321 Q87.205 151.047 84.1263 155.654 Q81.0707 160.237 75.2606 160.237 Q69.4504 160.237 66.3717 155.654 Q63.3162 151.047 63.3162 142.321 Q63.3162 133.571 66.3717 128.987 Q69.4504 124.381 75.2606 124.381 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M92.2744 153.686 L97.1586 153.686 L97.1586 159.566 L92.2744 159.566 L92.2744 153.686 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M112.807 140.422 Q109.659 140.422 107.807 142.575 Q105.978 144.728 105.978 148.478 Q105.978 152.205 107.807 154.381 Q109.659 156.533 112.807 156.533 Q115.955 156.533 117.783 154.381 Q119.635 152.205 119.635 148.478 Q119.635 144.728 117.783 142.575 Q115.955 140.422 112.807 140.422 M122.089 125.77 L122.089 130.029 Q120.33 129.196 118.524 128.756 Q116.742 128.316 114.983 128.316 Q110.353 128.316 107.899 131.441 Q105.469 134.566 105.122 140.885 Q106.487 138.872 108.547 137.807 Q110.608 136.719 113.084 136.719 Q118.293 136.719 121.302 139.89 Q124.334 143.038 124.334 148.478 Q124.334 153.802 121.186 157.02 Q118.038 160.237 112.807 160.237 Q106.811 160.237 103.64 155.654 Q100.469 151.047 100.469 142.321 Q100.469 134.126 104.358 129.265 Q108.247 124.381 114.797 124.381 Q116.557 124.381 118.339 124.728 Q120.145 125.075 122.089 125.77 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip202)\" d=\"\n",
                            "M269.581 1445.72 L269.581 1445.72 L429.739 1445.72 L429.739 1445.72 L269.581 1445.72 L269.581 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  269.581,1445.72 269.581,1445.72 429.739,1445.72 269.581,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M469.778 1445.72 L469.778 1445.72 L629.935 1445.72 L629.935 1445.72 L469.778 1445.72 L469.778 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  469.778,1445.72 469.778,1445.72 629.935,1445.72 469.778,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M669.975 1445.72 L669.975 1445.72 L830.132 1445.72 L830.132 1445.72 L669.975 1445.72 L669.975 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  669.975,1445.72 669.975,1445.72 830.132,1445.72 669.975,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M870.171 1445.72 L870.171 1445.72 L1030.33 1445.72 L1030.33 1445.72 L870.171 1445.72 L870.171 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  870.171,1445.72 870.171,1445.72 1030.33,1445.72 870.171,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M1070.37 1445.72 L1070.37 1445.72 L1230.53 1445.72 L1230.53 1445.72 L1070.37 1445.72 L1070.37 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1070.37,1445.72 1070.37,1445.72 1230.53,1445.72 1070.37,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M1270.56 631.072 L1270.56 1445.72 L1430.72 1445.72 L1430.72 631.072 L1270.56 631.072 L1270.56 631.072  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1270.56,631.072 1270.56,1445.72 1430.72,1445.72 1430.72,631.072 1270.56,631.072 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M1470.76 87.9763 L1470.76 1445.72 L1630.92 1445.72 L1630.92 87.9763 L1470.76 87.9763 L1470.76 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1470.76,87.9763 1470.76,1445.72 1630.92,1445.72 1630.92,87.9763 1470.76,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M1670.96 1445.72 L1670.96 1445.72 L1831.12 1445.72 L1831.12 1445.72 L1670.96 1445.72 L1670.96 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1670.96,1445.72 1670.96,1445.72 1831.12,1445.72 1670.96,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M1871.15 1445.72 L1871.15 1445.72 L2031.31 1445.72 L2031.31 1445.72 L1871.15 1445.72 L1871.15 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1871.15,1445.72 1871.15,1445.72 2031.31,1445.72 1871.15,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip202)\" d=\"\n",
                            "M2071.35 1445.72 L2071.35 1445.72 L2231.51 1445.72 L2231.51 1445.72 L2071.35 1445.72 L2071.35 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2071.35,1445.72 2071.35,1445.72 2231.51,1445.72 2071.35,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip202)\" style=\"stroke:#e26f46; stroke-width:16; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1475.77,2925.65 1475.77,-1391.96 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"\n",
                            "M1770.85 276.658 L2279.28 276.658 L2279.28 95.2176 L1770.85 95.2176  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1770.85,276.658 2279.28,276.658 2279.28,95.2176 1770.85,95.2176 1770.85,276.658 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"\n",
                            "M1795.34 179.89 L1942.3 179.89 L1942.3 131.506 L1795.34 131.506 L1795.34 179.89  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1795.34,179.89 1942.3,179.89 1942.3,131.506 1795.34,131.506 1795.34,179.89 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"M 0 0 M1966.79 138.418 L1973.76 138.418 L1982.58 161.936 L1991.45 138.418 L1998.41 138.418 L1998.41 172.978 L1993.85 172.978 L1993.85 142.63 L1984.94 166.334 L1980.24 166.334 L1971.33 142.63 L1971.33 172.978 L1966.79 172.978 L1966.79 138.418 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2014.66 159.945 Q2009.5 159.945 2007.51 161.126 Q2005.52 162.306 2005.52 165.154 Q2005.52 167.422 2007 168.765 Q2008.51 170.084 2011.08 170.084 Q2014.62 170.084 2016.75 167.584 Q2018.9 165.061 2018.9 160.894 L2018.9 159.945 L2014.66 159.945 M2023.16 158.186 L2023.16 172.978 L2018.9 172.978 L2018.9 169.042 Q2017.44 171.403 2015.27 172.538 Q2013.09 173.649 2009.94 173.649 Q2005.96 173.649 2003.6 171.427 Q2001.26 169.181 2001.26 165.431 Q2001.26 161.056 2004.18 158.834 Q2007.12 156.612 2012.93 156.612 L2018.9 156.612 L2018.9 156.195 Q2018.9 153.255 2016.96 151.658 Q2015.03 150.038 2011.54 150.038 Q2009.32 150.038 2007.21 150.57 Q2005.1 151.103 2003.16 152.167 L2003.16 148.232 Q2005.5 147.33 2007.7 146.89 Q2009.9 146.427 2011.98 146.427 Q2017.6 146.427 2020.38 149.343 Q2023.16 152.26 2023.16 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2044.15 147.816 L2044.15 151.843 Q2042.35 150.917 2040.4 150.455 Q2038.46 149.992 2036.38 149.992 Q2033.21 149.992 2031.61 150.964 Q2030.03 151.936 2030.03 153.88 Q2030.03 155.362 2031.17 156.218 Q2032.3 157.052 2035.73 157.816 L2037.19 158.14 Q2041.72 159.112 2043.62 160.894 Q2045.54 162.654 2045.54 165.825 Q2045.54 169.436 2042.67 171.542 Q2039.83 173.649 2034.83 173.649 Q2032.74 173.649 2030.47 173.232 Q2028.23 172.839 2025.73 172.028 L2025.73 167.63 Q2028.09 168.857 2030.38 169.482 Q2032.67 170.084 2034.92 170.084 Q2037.93 170.084 2039.55 169.066 Q2041.17 168.024 2041.17 166.149 Q2041.17 164.413 2039.99 163.487 Q2038.83 162.561 2034.87 161.704 L2033.39 161.357 Q2029.43 160.524 2027.67 158.811 Q2025.91 157.075 2025.91 154.066 Q2025.91 150.408 2028.51 148.418 Q2031.1 146.427 2035.87 146.427 Q2038.23 146.427 2040.31 146.774 Q2042.4 147.121 2044.15 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2066.54 147.816 L2066.54 151.843 Q2064.73 150.917 2062.79 150.455 Q2060.84 149.992 2058.76 149.992 Q2055.59 149.992 2053.99 150.964 Q2052.42 151.936 2052.42 153.88 Q2052.42 155.362 2053.55 156.218 Q2054.69 157.052 2058.11 157.816 L2059.57 158.14 Q2064.11 159.112 2066.01 160.894 Q2067.93 162.654 2067.93 165.825 Q2067.93 169.436 2065.06 171.542 Q2062.21 173.649 2057.21 173.649 Q2055.13 173.649 2052.86 173.232 Q2050.61 172.839 2048.11 172.028 L2048.11 167.63 Q2050.47 168.857 2052.77 169.482 Q2055.06 170.084 2057.3 170.084 Q2060.31 170.084 2061.93 169.066 Q2063.55 168.024 2063.55 166.149 Q2063.55 164.413 2062.37 163.487 Q2061.21 162.561 2057.26 161.704 L2055.78 161.357 Q2051.82 160.524 2050.06 158.811 Q2048.3 157.075 2048.3 154.066 Q2048.3 150.408 2050.89 148.418 Q2053.48 146.427 2058.25 146.427 Q2060.61 146.427 2062.7 146.774 Q2064.78 147.121 2066.54 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2097.51 150.038 Q2094.09 150.038 2092.09 152.723 Q2090.1 155.385 2090.1 160.038 Q2090.1 164.691 2092.07 167.376 Q2094.06 170.038 2097.51 170.038 Q2100.91 170.038 2102.9 167.353 Q2104.9 164.667 2104.9 160.038 Q2104.9 155.431 2102.9 152.746 Q2100.91 150.038 2097.51 150.038 M2097.51 146.427 Q2103.07 146.427 2106.24 150.038 Q2109.41 153.649 2109.41 160.038 Q2109.41 166.404 2106.24 170.038 Q2103.07 173.649 2097.51 173.649 Q2091.93 173.649 2088.76 170.038 Q2085.61 166.404 2085.61 160.038 Q2085.61 153.649 2088.76 150.038 Q2091.93 146.427 2097.51 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2135.43 157.329 L2135.43 172.978 L2131.17 172.978 L2131.17 157.468 Q2131.17 153.788 2129.73 151.959 Q2128.3 150.13 2125.43 150.13 Q2121.98 150.13 2119.99 152.33 Q2118 154.529 2118 158.325 L2118 172.978 L2113.71 172.978 L2113.71 147.052 L2118 147.052 L2118 151.08 Q2119.52 148.742 2121.58 147.584 Q2123.67 146.427 2126.38 146.427 Q2130.84 146.427 2133.14 149.205 Q2135.43 151.959 2135.43 157.329 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2172.02 159.714 Q2172.02 155.084 2170.1 152.538 Q2168.21 149.992 2164.76 149.992 Q2161.33 149.992 2159.41 152.538 Q2157.51 155.084 2157.51 159.714 Q2157.51 164.32 2159.41 166.866 Q2161.33 169.413 2164.76 169.413 Q2168.21 169.413 2170.1 166.866 Q2172.02 164.32 2172.02 159.714 M2176.28 169.76 Q2176.28 176.38 2173.34 179.598 Q2170.4 182.839 2164.34 182.839 Q2162.09 182.839 2160.1 182.491 Q2158.11 182.167 2156.24 181.473 L2156.24 177.329 Q2158.11 178.348 2159.94 178.834 Q2161.77 179.32 2163.67 179.32 Q2167.86 179.32 2169.94 177.121 Q2172.02 174.945 2172.02 170.524 L2172.02 168.417 Q2170.71 170.709 2168.64 171.843 Q2166.58 172.978 2163.71 172.978 Q2158.95 172.978 2156.03 169.343 Q2153.11 165.709 2153.11 159.714 Q2153.11 153.695 2156.03 150.061 Q2158.95 146.427 2163.71 146.427 Q2166.58 146.427 2168.64 147.561 Q2170.71 148.695 2172.02 150.987 L2172.02 147.052 L2176.28 147.052 L2176.28 169.76 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2195.77 151.033 Q2195.06 150.617 2194.2 150.431 Q2193.37 150.223 2192.35 150.223 Q2188.74 150.223 2186.79 152.584 Q2184.87 154.922 2184.87 159.32 L2184.87 172.978 L2180.59 172.978 L2180.59 147.052 L2184.87 147.052 L2184.87 151.08 Q2186.21 148.718 2188.37 147.584 Q2190.52 146.427 2193.6 146.427 Q2194.04 146.427 2194.57 146.496 Q2195.1 146.543 2195.75 146.658 L2195.77 151.033 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2200.24 147.052 L2204.5 147.052 L2204.5 172.978 L2200.24 172.978 L2200.24 147.052 M2200.24 136.959 L2204.5 136.959 L2204.5 142.353 L2200.24 142.353 L2200.24 136.959 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2226.03 150.987 L2226.03 136.959 L2230.29 136.959 L2230.29 172.978 L2226.03 172.978 L2226.03 169.089 Q2224.69 171.403 2222.63 172.538 Q2220.59 173.649 2217.72 173.649 Q2213.02 173.649 2210.06 169.899 Q2207.12 166.149 2207.12 160.038 Q2207.12 153.927 2210.06 150.177 Q2213.02 146.427 2217.72 146.427 Q2220.59 146.427 2222.63 147.561 Q2224.69 148.672 2226.03 150.987 M2211.51 160.038 Q2211.51 164.737 2213.44 167.422 Q2215.38 170.084 2218.76 170.084 Q2222.14 170.084 2224.08 167.422 Q2226.03 164.737 2226.03 160.038 Q2226.03 155.339 2224.08 152.677 Q2222.14 149.992 2218.76 149.992 Q2215.38 149.992 2213.44 152.677 Q2211.51 155.339 2211.51 160.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip200)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1795.34,216.178 1942.3,216.178 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip200)\" d=\"M 0 0 M1966.79 198.898 L1996.03 198.898 L1996.03 202.833 L1983.76 202.833 L1983.76 233.458 L1979.06 233.458 L1979.06 202.833 L1966.79 202.833 L1966.79 198.898 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2008.55 211.513 Q2007.84 211.097 2006.98 210.911 Q2006.15 210.703 2005.13 210.703 Q2001.52 210.703 1999.57 213.064 Q1997.65 215.402 1997.65 219.8 L1997.65 233.458 L1993.37 233.458 L1993.37 207.532 L1997.65 207.532 L1997.65 211.56 Q1998.99 209.198 2001.15 208.064 Q2003.3 206.907 2006.38 206.907 Q2006.82 206.907 2007.35 206.976 Q2007.88 207.023 2008.53 207.138 L2008.55 211.513 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2012.58 223.226 L2012.58 207.532 L2016.84 207.532 L2016.84 223.064 Q2016.84 226.745 2018.28 228.596 Q2019.71 230.425 2022.58 230.425 Q2026.03 230.425 2028.02 228.226 Q2030.03 226.027 2030.03 222.231 L2030.03 207.532 L2034.29 207.532 L2034.29 233.458 L2030.03 233.458 L2030.03 229.476 Q2028.48 231.837 2026.42 232.995 Q2024.39 234.129 2021.68 234.129 Q2017.21 234.129 2014.9 231.351 Q2012.58 228.573 2012.58 223.226 M2023.3 206.907 L2023.3 206.907 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2060.94 219.43 L2060.94 221.513 L2041.35 221.513 Q2041.63 225.911 2043.99 228.226 Q2046.38 230.518 2050.61 230.518 Q2053.07 230.518 2055.36 229.916 Q2057.67 229.314 2059.94 228.11 L2059.94 232.138 Q2057.65 233.11 2055.24 233.62 Q2052.84 234.129 2050.36 234.129 Q2044.15 234.129 2040.52 230.518 Q2036.91 226.907 2036.91 220.749 Q2036.91 214.384 2040.34 210.657 Q2043.78 206.907 2049.62 206.907 Q2054.85 206.907 2057.88 210.286 Q2060.94 213.643 2060.94 219.43 M2056.68 218.18 Q2056.63 214.685 2054.71 212.601 Q2052.81 210.518 2049.66 210.518 Q2046.1 210.518 2043.95 212.532 Q2041.82 214.546 2041.49 218.203 L2056.68 218.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2077.42 207.532 L2081.93 207.532 L2090.03 229.291 L2098.14 207.532 L2102.65 207.532 L2092.93 233.458 L2087.14 233.458 L2077.42 207.532 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2118.9 220.425 Q2113.74 220.425 2111.75 221.606 Q2109.76 222.786 2109.76 225.634 Q2109.76 227.902 2111.24 229.245 Q2112.74 230.564 2115.31 230.564 Q2118.85 230.564 2120.98 228.064 Q2123.14 225.541 2123.14 221.374 L2123.14 220.425 L2118.9 220.425 M2127.4 218.666 L2127.4 233.458 L2123.14 233.458 L2123.14 229.522 Q2121.68 231.883 2119.5 233.018 Q2117.33 234.129 2114.18 234.129 Q2110.2 234.129 2107.83 231.907 Q2105.5 229.661 2105.5 225.911 Q2105.5 221.536 2108.41 219.314 Q2111.35 217.092 2117.16 217.092 L2123.14 217.092 L2123.14 216.675 Q2123.14 213.735 2121.19 212.138 Q2119.27 210.518 2115.77 210.518 Q2113.55 210.518 2111.45 211.05 Q2109.34 211.583 2107.4 212.647 L2107.4 208.712 Q2109.73 207.81 2111.93 207.37 Q2114.13 206.907 2116.21 206.907 Q2121.84 206.907 2124.62 209.823 Q2127.4 212.74 2127.4 218.666 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2131.86 197.439 L2136.12 197.439 L2136.12 233.458 L2131.86 233.458 L2131.86 197.439 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2140.15 223.226 L2140.15 207.532 L2144.41 207.532 L2144.41 223.064 Q2144.41 226.745 2145.84 228.596 Q2147.28 230.425 2150.15 230.425 Q2153.6 230.425 2155.59 228.226 Q2157.6 226.027 2157.6 222.231 L2157.6 207.532 L2161.86 207.532 L2161.86 233.458 L2157.6 233.458 L2157.6 229.476 Q2156.05 231.837 2153.99 232.995 Q2151.96 234.129 2149.25 234.129 Q2144.78 234.129 2142.46 231.351 Q2140.15 228.573 2140.15 223.226 M2150.87 206.907 L2150.87 206.907 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip200)\" d=\"M 0 0 M2188.51 219.43 L2188.51 221.513 L2168.92 221.513 Q2169.2 225.911 2171.56 228.226 Q2173.95 230.518 2178.18 230.518 Q2180.64 230.518 2182.93 229.916 Q2185.24 229.314 2187.51 228.11 L2187.51 232.138 Q2185.22 233.11 2182.81 233.62 Q2180.4 234.129 2177.93 234.129 Q2171.72 234.129 2168.09 230.518 Q2164.48 226.907 2164.48 220.749 Q2164.48 214.384 2167.9 210.657 Q2171.35 206.907 2177.19 206.907 Q2182.42 206.907 2185.45 210.286 Q2188.51 213.643 2188.51 219.43 M2184.25 218.18 Q2184.2 214.685 2182.28 212.601 Q2180.38 210.518 2177.23 210.518 Q2173.67 210.518 2171.52 212.532 Q2169.39 214.546 2169.06 218.203 L2184.25 218.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
                        ]
                    },
                    "execution_count": 35,
                    "metadata": {},
                    "output_type": "execute_result"
                }
            ],
            "source": [
                "## True Value\n",
                "w = 2.5    #True value\n",
                "mass = 1.0 #Mass at the true value\n",
                "\n",
                "## Approximation\n",
                "nW=10 #Number of grid points\n",
                "w_grid=linspace(0.0, 4.0, nW) #Location of grid points\n",
                "hw_grid=zeros(nW); #Initialization\n",
                "\n",
                "w_min = minimum(w_grid) #Upper bound for the grid\n",
                "w_max = maximum(w_grid) #Lower bound for the grid\n",
                "nW = length(w_grid) #Number of points on the grid\n",
                "\n",
                "# Project true value on the grid:\n",
                "(wValue_proj, wIndex_proj) = closest_value_and_index(w_grid, w)\n",
                "\n",
                "# To store the location of the value below and above the true value:\n",
                "wIndex_below = 0\n",
                "wIndex_above = 0\n",
                "\n",
                "# If the true value is above the projection\n",
                "if w >= wValue_proj\n",
                "    wIndex_below = wIndex_proj\n",
                "    wIndex_above = wIndex_proj + 1\n",
                "# If the true value is below the projection\n",
                "elseif w < wValue_proj\n",
                "    wIndex_below = wIndex_proj -1 \n",
                "    wIndex_above = wIndex_proj \n",
                "end\n",
                "\n",
                "# Boundary cases\n",
                "if wIndex_proj == 1\n",
                "    wIndex_below = 1\n",
                "    wIndex_above = 2\n",
                "elseif wIndex_proj == nW\n",
                "    wIndex_below = nW - 1\n",
                "    wIndex_above = nW\n",
                "end\n",
                "\n",
                "# Special case 1: w < w_min\n",
                "if w <= w_min\n",
                "    p = 1\n",
                "elseif w >= w_max\n",
                "# Special case 2: w > w_max\n",
                "    p = 0\n",
                "else\n",
                "    p = 1.0 - ((w - w_grid[wIndex_below])/(w_grid[wIndex_above] - w_grid[wIndex_below]))\n",
                "    p = min(1.0, max(0.0, p))\n",
                "end\n",
                "\n",
                "# Spread the mass:\n",
                "# 1. Point below\n",
                "hw_grid[wIndex_below] += p*mass\n",
                "\n",
                "# 2. Point above:\n",
                "hw_grid[wIndex_above] += (1.0 - p)*mass;\n",
                "\n",
                "p0 =bar(w_grid, hw_grid, label = \"Mass on grid\")\n",
                "plot!(p0, [w], seriestype = :vline, label=\"True value\", linewidth = 4)"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Because the true value is not a point of our grid (that would be a miracle), the mass is spread between the two closest points. However, we still get the mean right. We will see below that this property extends to distributions with support constituted of several points:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 34,
            "metadata": {},
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": [
                        "True mean 2.5\n",
                        "Approximate mean 2.5\n"
                    ]
                }
            ],
            "source": [
                "println(\"True mean $(w)\")\n",
                "println(\"Approximate mean $(round(mean(w_grid, weights(hw_grid./sum(hw_grid))), digits = 4))\")"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Approximate a multi-point distribution"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Now, let's see how well [Young's method (2010)](https://ideas.repec.org/a/eee/dyncon/v34y2010i1p36-41.html) works when the true underlying distribution has positive mass for **a finite number of points**. To keep things pretty, let's assume that the true distribution has the shape of a Normal distribution, but we truncate the tails."
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 21,
            "metadata": {},
            "outputs": [
                {
                    "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=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip960\">\n",
                            "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"\n",
                            "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip961\">\n",
                            "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"\n",
                            "M201.876 1486.45 L2352.76 1486.45 L2352.76 47.2441 L201.876 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip962\">\n",
                            "    <rect x=\"201\" y=\"47\" width=\"2152\" height=\"1440\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  398.312,1486.45 398.312,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  837.814,1486.45 837.814,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1277.32,1486.45 1277.32,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1716.82,1486.45 1716.82,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2156.32,1486.45 2156.32,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,1445.72 2352.76,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,1162.76 2352.76,1162.76 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,879.814 2352.76,879.814 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,596.862 2352.76,596.862 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,313.911 2352.76,313.911 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1486.45 2352.76,1486.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1486.45 201.876,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  398.312,1486.45 398.312,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  837.814,1486.45 837.814,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1277.32,1486.45 1277.32,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1716.82,1486.45 1716.82,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2156.32,1486.45 2156.32,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1445.72 227.686,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1162.76 227.686,1162.76 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,879.814 227.686,879.814 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,596.862 227.686,596.862 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,313.911 227.686,313.911 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"M 0 0 M370.21 1535.98 L377.849 1535.98 L377.849 1509.62 L369.539 1511.29 L369.539 1507.03 L377.803 1505.36 L382.478 1505.36 L382.478 1535.98 L390.117 1535.98 L390.117 1539.92 L370.21 1539.92 L370.21 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M395.187 1534.04 L400.071 1534.04 L400.071 1539.92 L395.187 1539.92 L395.187 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M415.14 1508.44 Q411.529 1508.44 409.701 1512 Q407.895 1515.55 407.895 1522.67 Q407.895 1529.78 409.701 1533.35 Q411.529 1536.89 415.14 1536.89 Q418.775 1536.89 420.58 1533.35 Q422.409 1529.78 422.409 1522.67 Q422.409 1515.55 420.58 1512 Q418.775 1508.44 415.14 1508.44 M415.14 1504.73 Q420.95 1504.73 424.006 1509.34 Q427.085 1513.92 427.085 1522.67 Q427.085 1531.4 424.006 1536.01 Q420.95 1540.59 415.14 1540.59 Q409.33 1540.59 406.251 1536.01 Q403.196 1531.4 403.196 1522.67 Q403.196 1513.92 406.251 1509.34 Q409.33 1504.73 415.14 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M810.21 1535.98 L817.849 1535.98 L817.849 1509.62 L809.538 1511.29 L809.538 1507.03 L817.802 1505.36 L822.478 1505.36 L822.478 1535.98 L830.117 1535.98 L830.117 1539.92 L810.21 1539.92 L810.21 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M835.186 1534.04 L840.071 1534.04 L840.071 1539.92 L835.186 1539.92 L835.186 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M845.186 1505.36 L863.543 1505.36 L863.543 1509.3 L849.469 1509.3 L849.469 1517.77 Q850.487 1517.42 851.506 1517.26 Q852.524 1517.07 853.543 1517.07 Q859.33 1517.07 862.709 1520.24 Q866.089 1523.42 866.089 1528.83 Q866.089 1534.41 862.617 1537.51 Q859.145 1540.59 852.825 1540.59 Q850.649 1540.59 848.381 1540.22 Q846.135 1539.85 843.728 1539.11 L843.728 1534.41 Q845.811 1535.54 848.034 1536.1 Q850.256 1536.66 852.733 1536.66 Q856.737 1536.66 859.075 1534.55 Q861.413 1532.44 861.413 1528.83 Q861.413 1525.22 859.075 1523.11 Q856.737 1521.01 852.733 1521.01 Q850.858 1521.01 848.983 1521.42 Q847.131 1521.84 845.186 1522.72 L845.186 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1253.48 1535.98 L1269.8 1535.98 L1269.8 1539.92 L1247.86 1539.92 L1247.86 1535.98 Q1250.52 1533.23 1255.11 1528.6 Q1259.71 1523.95 1260.89 1522.61 Q1263.14 1520.08 1264.02 1518.35 Q1264.92 1516.59 1264.92 1514.9 Q1264.92 1512.14 1262.98 1510.41 Q1261.05 1508.67 1257.95 1508.67 Q1255.75 1508.67 1253.3 1509.43 Q1250.87 1510.2 1248.09 1511.75 L1248.09 1507.03 Q1250.92 1505.89 1253.37 1505.31 Q1255.82 1504.73 1257.86 1504.73 Q1263.23 1504.73 1266.42 1507.42 Q1269.62 1510.11 1269.62 1514.6 Q1269.62 1516.73 1268.81 1518.65 Q1268.02 1520.54 1265.92 1523.14 Q1265.34 1523.81 1262.23 1527.03 Q1259.13 1530.22 1253.48 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1274.87 1534.04 L1279.76 1534.04 L1279.76 1539.92 L1274.87 1539.92 L1274.87 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1294.83 1508.44 Q1291.22 1508.44 1289.39 1512 Q1287.58 1515.55 1287.58 1522.67 Q1287.58 1529.78 1289.39 1533.35 Q1291.22 1536.89 1294.83 1536.89 Q1298.46 1536.89 1300.27 1533.35 Q1302.1 1529.78 1302.1 1522.67 Q1302.1 1515.55 1300.27 1512 Q1298.46 1508.44 1294.83 1508.44 M1294.83 1504.73 Q1300.64 1504.73 1303.69 1509.34 Q1306.77 1513.92 1306.77 1522.67 Q1306.77 1531.4 1303.69 1536.01 Q1300.64 1540.59 1294.83 1540.59 Q1289.02 1540.59 1285.94 1536.01 Q1282.88 1531.4 1282.88 1522.67 Q1282.88 1513.92 1285.94 1509.34 Q1289.02 1504.73 1294.83 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1693.48 1535.98 L1709.8 1535.98 L1709.8 1539.92 L1687.86 1539.92 L1687.86 1535.98 Q1690.52 1533.23 1695.11 1528.6 Q1699.71 1523.95 1700.89 1522.61 Q1703.14 1520.08 1704.02 1518.35 Q1704.92 1516.59 1704.92 1514.9 Q1704.92 1512.14 1702.98 1510.41 Q1701.05 1508.67 1697.95 1508.67 Q1695.75 1508.67 1693.3 1509.43 Q1690.87 1510.2 1688.09 1511.75 L1688.09 1507.03 Q1690.92 1505.89 1693.37 1505.31 Q1695.82 1504.73 1697.86 1504.73 Q1703.23 1504.73 1706.42 1507.42 Q1709.62 1510.11 1709.62 1514.6 Q1709.62 1516.73 1708.81 1518.65 Q1708.02 1520.54 1705.92 1523.14 Q1705.34 1523.81 1702.23 1527.03 Q1699.13 1530.22 1693.48 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1714.87 1534.04 L1719.76 1534.04 L1719.76 1539.92 L1714.87 1539.92 L1714.87 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1724.87 1505.36 L1743.23 1505.36 L1743.23 1509.3 L1729.16 1509.3 L1729.16 1517.77 Q1730.17 1517.42 1731.19 1517.26 Q1732.21 1517.07 1733.23 1517.07 Q1739.02 1517.07 1742.4 1520.24 Q1745.78 1523.42 1745.78 1528.83 Q1745.78 1534.41 1742.3 1537.51 Q1738.83 1540.59 1732.51 1540.59 Q1730.34 1540.59 1728.07 1540.22 Q1725.82 1539.85 1723.42 1539.11 L1723.42 1534.41 Q1725.5 1535.54 1727.72 1536.1 Q1729.94 1536.66 1732.42 1536.66 Q1736.42 1536.66 1738.76 1534.55 Q1741.1 1532.44 1741.1 1528.83 Q1741.1 1525.22 1738.76 1523.11 Q1736.42 1521.01 1732.42 1521.01 Q1730.54 1521.01 1728.67 1521.42 Q1726.82 1521.84 1724.87 1522.72 L1724.87 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2142.08 1521.29 Q2145.44 1522 2147.32 1524.27 Q2149.21 1526.54 2149.21 1529.87 Q2149.21 1534.99 2145.7 1537.79 Q2142.18 1540.59 2135.7 1540.59 Q2133.52 1540.59 2131.2 1540.15 Q2128.91 1539.73 2126.46 1538.88 L2126.46 1534.36 Q2128.4 1535.5 2130.72 1536.08 Q2133.03 1536.66 2135.56 1536.66 Q2139.95 1536.66 2142.25 1534.92 Q2144.56 1533.18 2144.56 1529.87 Q2144.56 1526.82 2142.41 1525.11 Q2140.28 1523.37 2136.46 1523.37 L2132.43 1523.37 L2132.43 1519.53 L2136.64 1519.53 Q2140.09 1519.53 2141.92 1518.16 Q2143.75 1516.77 2143.75 1514.18 Q2143.75 1511.52 2141.85 1510.11 Q2139.98 1508.67 2136.46 1508.67 Q2134.54 1508.67 2132.34 1509.09 Q2130.14 1509.5 2127.5 1510.38 L2127.5 1506.22 Q2130.16 1505.48 2132.48 1505.11 Q2134.82 1504.73 2136.88 1504.73 Q2142.2 1504.73 2145.3 1507.17 Q2148.4 1509.57 2148.4 1513.69 Q2148.4 1516.56 2146.76 1518.55 Q2145.12 1520.52 2142.08 1521.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2154.28 1534.04 L2159.17 1534.04 L2159.17 1539.92 L2154.28 1539.92 L2154.28 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2174.24 1508.44 Q2170.63 1508.44 2168.8 1512 Q2166.99 1515.55 2166.99 1522.67 Q2166.99 1529.78 2168.8 1533.35 Q2170.63 1536.89 2174.24 1536.89 Q2177.87 1536.89 2179.68 1533.35 Q2181.51 1529.78 2181.51 1522.67 Q2181.51 1515.55 2179.68 1512 Q2177.87 1508.44 2174.24 1508.44 M2174.24 1504.73 Q2180.05 1504.73 2183.1 1509.34 Q2186.18 1513.92 2186.18 1522.67 Q2186.18 1531.4 2183.1 1536.01 Q2180.05 1540.59 2174.24 1540.59 Q2168.43 1540.59 2165.35 1536.01 Q2162.29 1531.4 2162.29 1522.67 Q2162.29 1513.92 2165.35 1509.34 Q2168.43 1504.73 2174.24 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M74.9365 1431.51 Q71.3254 1431.51 69.4967 1435.08 Q67.6912 1438.62 67.6912 1445.75 Q67.6912 1452.86 69.4967 1456.42 Q71.3254 1459.96 74.9365 1459.96 Q78.5707 1459.96 80.3763 1456.42 Q82.205 1452.86 82.205 1445.75 Q82.205 1438.62 80.3763 1435.08 Q78.5707 1431.51 74.9365 1431.51 M74.9365 1427.81 Q80.7467 1427.81 83.8022 1432.42 Q86.8809 1437 86.8809 1445.75 Q86.8809 1454.48 83.8022 1459.08 Q80.7467 1463.67 74.9365 1463.67 Q69.1264 1463.67 66.0477 1459.08 Q62.9921 1454.48 62.9921 1445.75 Q62.9921 1437 66.0477 1432.42 Q69.1264 1427.81 74.9365 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M91.9503 1457.12 L96.8345 1457.12 L96.8345 1463 L91.9503 1463 L91.9503 1457.12 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M111.904 1431.51 Q108.293 1431.51 106.464 1435.08 Q104.659 1438.62 104.659 1445.75 Q104.659 1452.86 106.464 1456.42 Q108.293 1459.96 111.904 1459.96 Q115.538 1459.96 117.344 1456.42 Q119.172 1452.86 119.172 1445.75 Q119.172 1438.62 117.344 1435.08 Q115.538 1431.51 111.904 1431.51 M111.904 1427.81 Q117.714 1427.81 120.77 1432.42 Q123.848 1437 123.848 1445.75 Q123.848 1454.48 120.77 1459.08 Q117.714 1463.67 111.904 1463.67 Q106.094 1463.67 103.015 1459.08 Q99.9595 1454.48 99.9595 1445.75 Q99.9595 1437 103.015 1432.42 Q106.094 1427.81 111.904 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M138.918 1431.51 Q135.307 1431.51 133.478 1435.08 Q131.672 1438.62 131.672 1445.75 Q131.672 1452.86 133.478 1456.42 Q135.307 1459.96 138.918 1459.96 Q142.552 1459.96 144.357 1456.42 Q146.186 1452.86 146.186 1445.75 Q146.186 1438.62 144.357 1435.08 Q142.552 1431.51 138.918 1431.51 M138.918 1427.81 Q144.728 1427.81 147.783 1432.42 Q150.862 1437 150.862 1445.75 Q150.862 1454.48 147.783 1459.08 Q144.728 1463.67 138.918 1463.67 Q133.107 1463.67 130.029 1459.08 Q126.973 1454.48 126.973 1445.75 Q126.973 1437 130.029 1432.42 Q133.107 1427.81 138.918 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M165.931 1431.51 Q162.32 1431.51 160.492 1435.08 Q158.686 1438.62 158.686 1445.75 Q158.686 1452.86 160.492 1456.42 Q162.32 1459.96 165.931 1459.96 Q169.566 1459.96 171.371 1456.42 Q173.2 1452.86 173.2 1445.75 Q173.2 1438.62 171.371 1435.08 Q169.566 1431.51 165.931 1431.51 M165.931 1427.81 Q171.742 1427.81 174.797 1432.42 Q177.876 1437 177.876 1445.75 Q177.876 1454.48 174.797 1459.08 Q171.742 1463.67 165.931 1463.67 Q160.121 1463.67 157.043 1459.08 Q153.987 1454.48 153.987 1445.75 Q153.987 1437 157.043 1432.42 Q160.121 1427.81 165.931 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M77.5291 1148.56 Q73.918 1148.56 72.0893 1152.13 Q70.2838 1155.67 70.2838 1162.8 Q70.2838 1169.91 72.0893 1173.47 Q73.918 1177.01 77.5291 1177.01 Q81.1633 1177.01 82.9689 1173.47 Q84.7976 1169.91 84.7976 1162.8 Q84.7976 1155.67 82.9689 1152.13 Q81.1633 1148.56 77.5291 1148.56 M77.5291 1144.86 Q83.3392 1144.86 86.3948 1149.47 Q89.4735 1154.05 89.4735 1162.8 Q89.4735 1171.53 86.3948 1176.13 Q83.3392 1180.72 77.5291 1180.72 Q71.7189 1180.72 68.6402 1176.13 Q65.5847 1171.53 65.5847 1162.8 Q65.5847 1154.05 68.6402 1149.47 Q71.7189 1144.86 77.5291 1144.86 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M94.5429 1174.17 L99.4271 1174.17 L99.4271 1180.04 L94.5429 1180.04 L94.5429 1174.17 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M114.496 1148.56 Q110.885 1148.56 109.057 1152.13 Q107.251 1155.67 107.251 1162.8 Q107.251 1169.91 109.057 1173.47 Q110.885 1177.01 114.496 1177.01 Q118.131 1177.01 119.936 1173.47 Q121.765 1169.91 121.765 1162.8 Q121.765 1155.67 119.936 1152.13 Q118.131 1148.56 114.496 1148.56 M114.496 1144.86 Q120.307 1144.86 123.362 1149.47 Q126.441 1154.05 126.441 1162.8 Q126.441 1171.53 123.362 1176.13 Q120.307 1180.72 114.496 1180.72 Q108.686 1180.72 105.608 1176.13 Q102.552 1171.53 102.552 1162.8 Q102.552 1154.05 105.608 1149.47 Q108.686 1144.86 114.496 1144.86 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M135.538 1176.11 L151.857 1176.11 L151.857 1180.04 L129.913 1180.04 L129.913 1176.11 Q132.575 1173.35 137.158 1168.73 Q141.765 1164.07 142.945 1162.73 Q145.191 1160.21 146.07 1158.47 Q146.973 1156.71 146.973 1155.02 Q146.973 1152.27 145.029 1150.53 Q143.107 1148.79 140.006 1148.79 Q137.807 1148.79 135.353 1149.56 Q132.922 1150.32 130.145 1151.87 L130.145 1147.15 Q132.969 1146.02 135.422 1145.44 Q137.876 1144.86 139.913 1144.86 Q145.283 1144.86 148.478 1147.54 Q151.672 1150.23 151.672 1154.72 Q151.672 1156.85 150.862 1158.77 Q150.075 1160.67 147.969 1163.26 Q147.39 1163.93 144.288 1167.15 Q141.186 1170.35 135.538 1176.11 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M156.973 1145.48 L175.329 1145.48 L175.329 1149.42 L161.255 1149.42 L161.255 1157.89 Q162.274 1157.54 163.293 1157.38 Q164.311 1157.2 165.33 1157.2 Q171.117 1157.2 174.496 1160.37 Q177.876 1163.54 177.876 1168.96 Q177.876 1174.54 174.404 1177.64 Q170.931 1180.72 164.612 1180.72 Q162.436 1180.72 160.168 1180.35 Q157.922 1179.98 155.515 1179.23 L155.515 1174.54 Q157.598 1175.67 159.82 1176.23 Q162.043 1176.78 164.519 1176.78 Q168.524 1176.78 170.862 1174.67 Q173.2 1172.57 173.2 1168.96 Q173.2 1165.35 170.862 1163.24 Q168.524 1161.13 164.519 1161.13 Q162.644 1161.13 160.769 1161.55 Q158.918 1161.97 156.973 1162.85 L156.973 1145.48 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M75.9319 865.612 Q72.3208 865.612 70.4921 869.177 Q68.6865 872.719 68.6865 879.848 Q68.6865 886.955 70.4921 890.519 Q72.3208 894.061 75.9319 894.061 Q79.5661 894.061 81.3717 890.519 Q83.2004 886.955 83.2004 879.848 Q83.2004 872.719 81.3717 869.177 Q79.5661 865.612 75.9319 865.612 M75.9319 861.909 Q81.742 861.909 84.7976 866.515 Q87.8763 871.098 87.8763 879.848 Q87.8763 888.575 84.7976 893.181 Q81.742 897.765 75.9319 897.765 Q70.1217 897.765 67.043 893.181 Q63.9875 888.575 63.9875 879.848 Q63.9875 871.098 67.043 866.515 Q70.1217 861.909 75.9319 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M92.9457 891.214 L97.8299 891.214 L97.8299 897.094 L92.9457 897.094 L92.9457 891.214 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M112.899 865.612 Q109.288 865.612 107.459 869.177 Q105.654 872.719 105.654 879.848 Q105.654 886.955 107.459 890.519 Q109.288 894.061 112.899 894.061 Q116.534 894.061 118.339 890.519 Q120.168 886.955 120.168 879.848 Q120.168 872.719 118.339 869.177 Q116.534 865.612 112.899 865.612 M112.899 861.909 Q118.709 861.909 121.765 866.515 Q124.844 871.098 124.844 879.848 Q124.844 888.575 121.765 893.181 Q118.709 897.765 112.899 897.765 Q107.089 897.765 104.01 893.181 Q100.955 888.575 100.955 879.848 Q100.955 871.098 104.01 866.515 Q107.089 861.909 112.899 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M129.959 862.534 L148.316 862.534 L148.316 866.469 L134.242 866.469 L134.242 874.941 Q135.26 874.594 136.279 874.432 Q137.297 874.246 138.316 874.246 Q144.103 874.246 147.482 877.418 Q150.862 880.589 150.862 886.006 Q150.862 891.584 147.39 894.686 Q143.918 897.765 137.598 897.765 Q135.422 897.765 133.154 897.394 Q130.908 897.024 128.501 896.283 L128.501 891.584 Q130.584 892.719 132.807 893.274 Q135.029 893.83 137.506 893.83 Q141.51 893.83 143.848 891.723 Q146.186 889.617 146.186 886.006 Q146.186 882.395 143.848 880.288 Q141.51 878.182 137.506 878.182 Q135.631 878.182 133.756 878.598 Q131.904 879.015 129.959 879.895 L129.959 862.534 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M165.931 865.612 Q162.32 865.612 160.492 869.177 Q158.686 872.719 158.686 879.848 Q158.686 886.955 160.492 890.519 Q162.32 894.061 165.931 894.061 Q169.566 894.061 171.371 890.519 Q173.2 886.955 173.2 879.848 Q173.2 872.719 171.371 869.177 Q169.566 865.612 165.931 865.612 M165.931 861.909 Q171.742 861.909 174.797 866.515 Q177.876 871.098 177.876 879.848 Q177.876 888.575 174.797 893.181 Q171.742 897.765 165.931 897.765 Q160.121 897.765 157.043 893.181 Q153.987 888.575 153.987 879.848 Q153.987 871.098 157.043 866.515 Q160.121 861.909 165.931 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M76.8346 582.661 Q73.2236 582.661 71.3949 586.226 Q69.5893 589.768 69.5893 596.897 Q69.5893 604.004 71.3949 607.568 Q73.2236 611.11 76.8346 611.11 Q80.4689 611.11 82.2744 607.568 Q84.1031 604.004 84.1031 596.897 Q84.1031 589.768 82.2744 586.226 Q80.4689 582.661 76.8346 582.661 M76.8346 578.957 Q82.6448 578.957 85.7003 583.564 Q88.779 588.147 88.779 596.897 Q88.779 605.624 85.7003 610.23 Q82.6448 614.814 76.8346 614.814 Q71.0245 614.814 67.9458 610.23 Q64.8903 605.624 64.8903 596.897 Q64.8903 588.147 67.9458 583.564 Q71.0245 578.957 76.8346 578.957 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M93.8484 608.263 L98.7327 608.263 L98.7327 614.142 L93.8484 614.142 L93.8484 608.263 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M113.802 582.661 Q110.191 582.661 108.362 586.226 Q106.557 589.768 106.557 596.897 Q106.557 604.004 108.362 607.568 Q110.191 611.11 113.802 611.11 Q117.436 611.11 119.242 607.568 Q121.071 604.004 121.071 596.897 Q121.071 589.768 119.242 586.226 Q117.436 582.661 113.802 582.661 M113.802 578.957 Q119.612 578.957 122.668 583.564 Q125.746 588.147 125.746 596.897 Q125.746 605.624 122.668 610.23 Q119.612 614.814 113.802 614.814 Q107.992 614.814 104.913 610.23 Q101.858 605.624 101.858 596.897 Q101.858 588.147 104.913 583.564 Q107.992 578.957 113.802 578.957 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M129.635 579.582 L151.857 579.582 L151.857 581.573 L139.311 614.142 L134.427 614.142 L146.232 583.518 L129.635 583.518 L129.635 579.582 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M156.973 579.582 L175.329 579.582 L175.329 583.518 L161.255 583.518 L161.255 591.99 Q162.274 591.643 163.293 591.48 Q164.311 591.295 165.33 591.295 Q171.117 591.295 174.496 594.467 Q177.876 597.638 177.876 603.055 Q177.876 608.633 174.404 611.735 Q170.931 614.814 164.612 614.814 Q162.436 614.814 160.168 614.443 Q157.922 614.073 155.515 613.332 L155.515 608.633 Q157.598 609.767 159.82 610.323 Q162.043 610.879 164.519 610.879 Q168.524 610.879 170.862 608.772 Q173.2 606.666 173.2 603.055 Q173.2 599.443 170.862 597.337 Q168.524 595.23 164.519 595.23 Q162.644 595.23 160.769 595.647 Q158.918 596.064 156.973 596.943 L156.973 579.582 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M76.1634 299.71 Q72.5523 299.71 70.7236 303.275 Q68.918 306.816 68.918 313.946 Q68.918 321.052 70.7236 324.617 Q72.5523 328.159 76.1634 328.159 Q79.7976 328.159 81.6031 324.617 Q83.4318 321.052 83.4318 313.946 Q83.4318 306.816 81.6031 303.275 Q79.7976 299.71 76.1634 299.71 M76.1634 296.006 Q81.9735 296.006 85.029 300.613 Q88.1077 305.196 88.1077 313.946 Q88.1077 322.673 85.029 327.279 Q81.9735 331.863 76.1634 331.863 Q70.3532 331.863 67.2745 327.279 Q64.219 322.673 64.219 313.946 Q64.219 305.196 67.2745 300.613 Q70.3532 296.006 76.1634 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M93.1771 325.312 L98.0614 325.312 L98.0614 331.191 L93.1771 331.191 L93.1771 325.312 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M103.941 327.256 L111.58 327.256 L111.58 300.891 L103.27 302.557 L103.27 298.298 L111.534 296.631 L116.209 296.631 L116.209 327.256 L123.848 327.256 L123.848 331.191 L103.941 331.191 L103.941 327.256 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M138.918 299.71 Q135.307 299.71 133.478 303.275 Q131.672 306.816 131.672 313.946 Q131.672 321.052 133.478 324.617 Q135.307 328.159 138.918 328.159 Q142.552 328.159 144.357 324.617 Q146.186 321.052 146.186 313.946 Q146.186 306.816 144.357 303.275 Q142.552 299.71 138.918 299.71 M138.918 296.006 Q144.728 296.006 147.783 300.613 Q150.862 305.196 150.862 313.946 Q150.862 322.673 147.783 327.279 Q144.728 331.863 138.918 331.863 Q133.107 331.863 130.029 327.279 Q126.973 322.673 126.973 313.946 Q126.973 305.196 130.029 300.613 Q133.107 296.006 138.918 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M165.931 299.71 Q162.32 299.71 160.492 303.275 Q158.686 306.816 158.686 313.946 Q158.686 321.052 160.492 324.617 Q162.32 328.159 165.931 328.159 Q169.566 328.159 171.371 324.617 Q173.2 321.052 173.2 313.946 Q173.2 306.816 171.371 303.275 Q169.566 299.71 165.931 299.71 M165.931 296.006 Q171.742 296.006 174.797 300.613 Q177.876 305.196 177.876 313.946 Q177.876 322.673 174.797 327.279 Q171.742 331.863 165.931 331.863 Q160.121 331.863 157.043 327.279 Q153.987 322.673 153.987 313.946 Q153.987 305.196 157.043 300.613 Q160.121 296.006 165.931 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip962)\" d=\"\n",
                            "M320.178 617.106 L320.178 1445.72 L476.445 1445.72 L476.445 617.106 L320.178 617.106 L320.178 617.106  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  320.178,617.106 320.178,1445.72 476.445,1445.72 476.445,617.106 320.178,617.106 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M515.512 436.145 L515.512 1445.72 L671.78 1445.72 L671.78 436.145 L515.512 436.145 L515.512 436.145  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  515.512,436.145 515.512,1445.72 671.78,1445.72 671.78,436.145 515.512,436.145 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M710.847 274.932 L710.847 1445.72 L867.114 1445.72 L867.114 274.932 L710.847 274.932 L710.847 274.932  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  710.847,274.932 710.847,1445.72 867.114,1445.72 867.114,274.932 710.847,274.932 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M906.181 153.397 L906.181 1445.72 L1062.45 1445.72 L1062.45 153.397 L906.181 153.397 L906.181 153.397  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  906.181,153.397 906.181,1445.72 1062.45,1445.72 1062.45,153.397 906.181,153.397 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M1101.52 87.9763 L1101.52 1445.72 L1257.78 1445.72 L1257.78 87.9763 L1101.52 87.9763 L1101.52 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1101.52,87.9763 1101.52,1445.72 1257.78,1445.72 1257.78,87.9763 1101.52,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M1296.85 87.9763 L1296.85 1445.72 L1453.12 1445.72 L1453.12 87.9763 L1296.85 87.9763 L1296.85 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1296.85,87.9763 1296.85,1445.72 1453.12,1445.72 1453.12,87.9763 1296.85,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M1492.18 153.397 L1492.18 1445.72 L1648.45 1445.72 L1648.45 153.397 L1492.18 153.397 L1492.18 153.397  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1492.18,153.397 1492.18,1445.72 1648.45,1445.72 1648.45,153.397 1492.18,153.397 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M1687.52 274.932 L1687.52 1445.72 L1843.79 1445.72 L1843.79 274.932 L1687.52 274.932 L1687.52 274.932  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1687.52,274.932 1687.52,1445.72 1843.79,1445.72 1843.79,274.932 1687.52,274.932 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M1882.85 436.145 L1882.85 1445.72 L2039.12 1445.72 L2039.12 436.145 L1882.85 436.145 L1882.85 436.145  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1882.85,436.145 1882.85,1445.72 2039.12,1445.72 2039.12,436.145 1882.85,436.145 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip962)\" d=\"\n",
                            "M2078.19 617.106 L2078.19 1445.72 L2234.45 1445.72 L2234.45 617.106 L2078.19 617.106 L2078.19 617.106  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip962)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2078.19,617.106 2078.19,1445.72 2234.45,1445.72 2234.45,617.106 2078.19,617.106 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"\n",
                            "M1708.97 216.178 L2281.06 216.178 L2281.06 95.2176 L1708.97 95.2176  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1708.97,216.178 2281.06,216.178 2281.06,95.2176 1708.97,95.2176 1708.97,216.178 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"\n",
                            "M1732.87 179.89 L1876.26 179.89 L1876.26 131.506 L1732.87 131.506 L1732.87 179.89  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip960)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1732.87,179.89 1876.26,179.89 1876.26,131.506 1732.87,131.506 1732.87,179.89 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip960)\" d=\"M 0 0 M1900.16 138.418 L1907.13 138.418 L1915.95 161.936 L1924.82 138.418 L1931.78 138.418 L1931.78 172.978 L1927.22 172.978 L1927.22 142.63 L1918.31 166.334 L1913.61 166.334 L1904.7 142.63 L1904.7 172.978 L1900.16 172.978 L1900.16 138.418 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1948.03 159.945 Q1942.87 159.945 1940.88 161.126 Q1938.89 162.306 1938.89 165.154 Q1938.89 167.422 1940.37 168.765 Q1941.88 170.084 1944.44 170.084 Q1947.99 170.084 1950.12 167.584 Q1952.27 165.061 1952.27 160.894 L1952.27 159.945 L1948.03 159.945 M1956.53 158.186 L1956.53 172.978 L1952.27 172.978 L1952.27 169.042 Q1950.81 171.403 1948.63 172.538 Q1946.46 173.649 1943.31 173.649 Q1939.33 173.649 1936.97 171.427 Q1934.63 169.181 1934.63 165.431 Q1934.63 161.056 1937.55 158.834 Q1940.49 156.612 1946.3 156.612 L1952.27 156.612 L1952.27 156.195 Q1952.27 153.255 1950.32 151.658 Q1948.4 150.038 1944.91 150.038 Q1942.69 150.038 1940.58 150.57 Q1938.47 151.103 1936.53 152.167 L1936.53 148.232 Q1938.87 147.33 1941.07 146.89 Q1943.26 146.427 1945.35 146.427 Q1950.97 146.427 1953.75 149.343 Q1956.53 152.26 1956.53 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1977.52 147.816 L1977.52 151.843 Q1975.72 150.917 1973.77 150.455 Q1971.83 149.992 1969.75 149.992 Q1966.57 149.992 1964.98 150.964 Q1963.4 151.936 1963.4 153.88 Q1963.4 155.362 1964.54 156.218 Q1965.67 157.052 1969.1 157.816 L1970.56 158.14 Q1975.09 159.112 1976.99 160.894 Q1978.91 162.654 1978.91 165.825 Q1978.91 169.436 1976.04 171.542 Q1973.19 173.649 1968.19 173.649 Q1966.11 173.649 1963.84 173.232 Q1961.6 172.839 1959.1 172.028 L1959.1 167.63 Q1961.46 168.857 1963.75 169.482 Q1966.04 170.084 1968.29 170.084 Q1971.3 170.084 1972.92 169.066 Q1974.54 168.024 1974.54 166.149 Q1974.54 164.413 1973.36 163.487 Q1972.2 162.561 1968.24 161.704 L1966.76 161.357 Q1962.8 160.524 1961.04 158.811 Q1959.28 157.075 1959.28 154.066 Q1959.28 150.408 1961.88 148.418 Q1964.47 146.427 1969.24 146.427 Q1971.6 146.427 1973.68 146.774 Q1975.76 147.121 1977.52 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M1999.91 147.816 L1999.91 151.843 Q1998.1 150.917 1996.16 150.455 Q1994.21 149.992 1992.13 149.992 Q1988.96 149.992 1987.36 150.964 Q1985.79 151.936 1985.79 153.88 Q1985.79 155.362 1986.92 156.218 Q1988.06 157.052 1991.48 157.816 L1992.94 158.14 Q1997.48 159.112 1999.37 160.894 Q2001.3 162.654 2001.3 165.825 Q2001.3 169.436 1998.43 171.542 Q1995.58 173.649 1990.58 173.649 Q1988.5 173.649 1986.23 173.232 Q1983.98 172.839 1981.48 172.028 L1981.48 167.63 Q1983.84 168.857 1986.13 169.482 Q1988.43 170.084 1990.67 170.084 Q1993.68 170.084 1995.3 169.066 Q1996.92 168.024 1996.92 166.149 Q1996.92 164.413 1995.74 163.487 Q1994.58 162.561 1990.62 161.704 L1989.14 161.357 Q1985.19 160.524 1983.43 158.811 Q1981.67 157.075 1981.67 154.066 Q1981.67 150.408 1984.26 148.418 Q1986.85 146.427 1991.62 146.427 Q1993.98 146.427 1996.06 146.774 Q1998.15 147.121 1999.91 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2025.05 139.691 L2025.05 147.052 L2033.82 147.052 L2033.82 150.362 L2025.05 150.362 L2025.05 164.436 Q2025.05 167.607 2025.9 168.51 Q2026.78 169.413 2029.44 169.413 L2033.82 169.413 L2033.82 172.978 L2029.44 172.978 Q2024.51 172.978 2022.64 171.149 Q2020.76 169.297 2020.76 164.436 L2020.76 150.362 L2017.64 150.362 L2017.64 147.052 L2020.76 147.052 L2020.76 139.691 L2025.05 139.691 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2053.31 151.033 Q2052.59 150.617 2051.74 150.431 Q2050.9 150.223 2049.88 150.223 Q2046.27 150.223 2044.33 152.584 Q2042.41 154.922 2042.41 159.32 L2042.41 172.978 L2038.12 172.978 L2038.12 147.052 L2042.41 147.052 L2042.41 151.08 Q2043.75 148.718 2045.9 147.584 Q2048.06 146.427 2051.13 146.427 Q2051.57 146.427 2052.11 146.496 Q2052.64 146.543 2053.29 146.658 L2053.31 151.033 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2057.34 162.746 L2057.34 147.052 L2061.6 147.052 L2061.6 162.584 Q2061.6 166.265 2063.03 168.116 Q2064.47 169.945 2067.34 169.945 Q2070.79 169.945 2072.78 167.746 Q2074.79 165.547 2074.79 161.751 L2074.79 147.052 L2079.05 147.052 L2079.05 172.978 L2074.79 172.978 L2074.79 168.996 Q2073.24 171.357 2071.18 172.515 Q2069.14 173.649 2066.43 173.649 Q2061.97 173.649 2059.65 170.871 Q2057.34 168.093 2057.34 162.746 M2068.06 146.427 L2068.06 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2105.69 158.95 L2105.69 161.033 L2086.11 161.033 Q2086.39 165.431 2088.75 167.746 Q2091.13 170.038 2095.37 170.038 Q2097.82 170.038 2100.12 169.436 Q2102.43 168.834 2104.7 167.63 L2104.7 171.658 Q2102.41 172.63 2100 173.14 Q2097.59 173.649 2095.12 173.649 Q2088.91 173.649 2085.28 170.038 Q2081.67 166.427 2081.67 160.269 Q2081.67 153.904 2085.09 150.177 Q2088.54 146.427 2094.37 146.427 Q2099.61 146.427 2102.64 149.806 Q2105.69 153.163 2105.69 158.95 M2101.43 157.7 Q2101.39 154.205 2099.47 152.121 Q2097.57 150.038 2094.42 150.038 Q2090.86 150.038 2088.7 152.052 Q2086.57 154.066 2086.25 157.723 L2101.43 157.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2122.18 147.052 L2126.69 147.052 L2134.79 168.811 L2142.89 147.052 L2147.41 147.052 L2137.68 172.978 L2131.9 172.978 L2122.18 147.052 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2163.66 159.945 Q2158.49 159.945 2156.5 161.126 Q2154.51 162.306 2154.51 165.154 Q2154.51 167.422 2155.99 168.765 Q2157.5 170.084 2160.07 170.084 Q2163.61 170.084 2165.74 167.584 Q2167.89 165.061 2167.89 160.894 L2167.89 159.945 L2163.66 159.945 M2172.15 158.186 L2172.15 172.978 L2167.89 172.978 L2167.89 169.042 Q2166.43 171.403 2164.26 172.538 Q2162.08 173.649 2158.93 173.649 Q2154.95 173.649 2152.59 171.427 Q2150.25 169.181 2150.25 165.431 Q2150.25 161.056 2153.17 158.834 Q2156.11 156.612 2161.92 156.612 L2167.89 156.612 L2167.89 156.195 Q2167.89 153.255 2165.95 151.658 Q2164.03 150.038 2160.53 150.038 Q2158.31 150.038 2156.2 150.57 Q2154.1 151.103 2152.15 152.167 L2152.15 148.232 Q2154.49 147.33 2156.69 146.89 Q2158.89 146.427 2160.97 146.427 Q2166.6 146.427 2169.37 149.343 Q2172.15 152.26 2172.15 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2176.62 136.959 L2180.88 136.959 L2180.88 172.978 L2176.62 172.978 L2176.62 136.959 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2184.91 162.746 L2184.91 147.052 L2189.17 147.052 L2189.17 162.584 Q2189.17 166.265 2190.6 168.116 Q2192.04 169.945 2194.91 169.945 Q2198.36 169.945 2200.35 167.746 Q2202.36 165.547 2202.36 161.751 L2202.36 147.052 L2206.62 147.052 L2206.62 172.978 L2202.36 172.978 L2202.36 168.996 Q2200.81 171.357 2198.75 172.515 Q2196.71 173.649 2194 173.649 Q2189.54 173.649 2187.22 170.871 Q2184.91 168.093 2184.91 162.746 M2195.62 146.427 L2195.62 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip960)\" d=\"M 0 0 M2233.26 158.95 L2233.26 161.033 L2213.68 161.033 Q2213.96 165.431 2216.32 167.746 Q2218.7 170.038 2222.94 170.038 Q2225.39 170.038 2227.68 169.436 Q2230 168.834 2232.27 167.63 L2232.27 171.658 Q2229.98 172.63 2227.57 173.14 Q2225.16 173.649 2222.68 173.649 Q2216.48 173.649 2212.85 170.038 Q2209.23 166.427 2209.23 160.269 Q2209.23 153.904 2212.66 150.177 Q2216.11 146.427 2221.94 146.427 Q2227.17 146.427 2230.21 149.806 Q2233.26 153.163 2233.26 158.95 M2229 157.7 Q2228.96 154.205 2227.04 152.121 Q2225.14 150.038 2221.99 150.038 Q2218.42 150.038 2216.27 152.052 Q2214.14 154.066 2213.82 157.723 L2229 157.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
                        ]
                    },
                    "metadata": {},
                    "output_type": "display_data"
                }
            ],
            "source": [
                "Nw_true = 10 #Number of points with positive mass\n",
                "w_true_lb = 1.0 #lower bound \n",
                "w_true_ub = 3.0 #upper bound\n",
                "w_true = linspace(w_true_lb, w_true_ub, Nw_true) \n",
                "d = truncated(Normal((w_true_lb + w_true_ub)/2), w_true_lb, w_true_ub)\n",
                "mass_true = pdf.(d, w_true)\n",
                "mass_true = mass_true./sum(mass_true);\n",
                "p0 = bar(w_true, mass_true, label=\"Mass true value\")\n",
                "display(p0)"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 22,
            "metadata": {
                "scrolled": true
            },
            "outputs": [
                {
                    "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=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip000\">\n",
                            "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"\n",
                            "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip001\">\n",
                            "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"\n",
                            "M174.862 1486.45 L2352.76 1486.45 L2352.76 47.2441 L174.862 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip002\">\n",
                            "    <rect x=\"174\" y=\"47\" width=\"2179\" height=\"1440\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  373.765,1486.45 373.765,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  818.787,1486.45 818.787,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1263.81,1486.45 1263.81,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1708.83,1486.45 1708.83,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2153.85,1486.45 2153.85,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  174.862,1445.72 2352.76,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  174.862,1152.42 2352.76,1152.42 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  174.862,859.118 2352.76,859.118 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  174.862,565.819 2352.76,565.819 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  174.862,272.52 2352.76,272.52 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,1486.45 2352.76,1486.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,1486.45 174.862,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  373.765,1486.45 373.765,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  818.787,1486.45 818.787,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1263.81,1486.45 1263.81,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1708.83,1486.45 1708.83,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2153.85,1486.45 2153.85,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,1445.72 200.997,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,1152.42 200.997,1152.42 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,859.118 200.997,859.118 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,565.819 200.997,565.819 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  174.862,272.52 200.997,272.52 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"M 0 0 M373.765 1508.44 Q370.154 1508.44 368.325 1512 Q366.52 1515.55 366.52 1522.67 Q366.52 1529.78 368.325 1533.35 Q370.154 1536.89 373.765 1536.89 Q377.399 1536.89 379.205 1533.35 Q381.034 1529.78 381.034 1522.67 Q381.034 1515.55 379.205 1512 Q377.399 1508.44 373.765 1508.44 M373.765 1504.73 Q379.575 1504.73 382.631 1509.34 Q385.709 1513.92 385.709 1522.67 Q385.709 1531.4 382.631 1536.01 Q379.575 1540.59 373.765 1540.59 Q367.955 1540.59 364.876 1536.01 Q361.821 1531.4 361.821 1522.67 Q361.821 1513.92 364.876 1509.34 Q367.955 1504.73 373.765 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M809.169 1535.98 L816.808 1535.98 L816.808 1509.62 L808.498 1511.29 L808.498 1507.03 L816.762 1505.36 L821.437 1505.36 L821.437 1535.98 L829.076 1535.98 L829.076 1539.92 L809.169 1539.92 L809.169 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1258.46 1535.98 L1274.78 1535.98 L1274.78 1539.92 L1252.84 1539.92 L1252.84 1535.98 Q1255.5 1533.23 1260.08 1528.6 Q1264.69 1523.95 1265.87 1522.61 Q1268.11 1520.08 1268.99 1518.35 Q1269.9 1516.59 1269.9 1514.9 Q1269.9 1512.14 1267.95 1510.41 Q1266.03 1508.67 1262.93 1508.67 Q1260.73 1508.67 1258.28 1509.43 Q1255.85 1510.2 1253.07 1511.75 L1253.07 1507.03 Q1255.89 1505.89 1258.35 1505.31 Q1260.8 1504.73 1262.84 1504.73 Q1268.21 1504.73 1271.4 1507.42 Q1274.6 1510.11 1274.6 1514.6 Q1274.6 1516.73 1273.79 1518.65 Q1273 1520.54 1270.89 1523.14 Q1270.31 1523.81 1267.21 1527.03 Q1264.11 1530.22 1258.46 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1713.08 1521.29 Q1716.44 1522 1718.31 1524.27 Q1720.21 1526.54 1720.21 1529.87 Q1720.21 1534.99 1716.69 1537.79 Q1713.17 1540.59 1706.69 1540.59 Q1704.51 1540.59 1702.2 1540.15 Q1699.91 1539.73 1697.45 1538.88 L1697.45 1534.36 Q1699.4 1535.5 1701.71 1536.08 Q1704.03 1536.66 1706.55 1536.66 Q1710.95 1536.66 1713.24 1534.92 Q1715.56 1533.18 1715.56 1529.87 Q1715.56 1526.82 1713.4 1525.11 Q1711.27 1523.37 1707.45 1523.37 L1703.43 1523.37 L1703.43 1519.53 L1707.64 1519.53 Q1711.09 1519.53 1712.92 1518.16 Q1714.75 1516.77 1714.75 1514.18 Q1714.75 1511.52 1712.85 1510.11 Q1710.97 1508.67 1707.45 1508.67 Q1705.53 1508.67 1703.33 1509.09 Q1701.13 1509.5 1698.5 1510.38 L1698.5 1506.22 Q1701.16 1505.48 1703.47 1505.11 Q1705.81 1504.73 1707.87 1504.73 Q1713.19 1504.73 1716.3 1507.17 Q1719.4 1509.57 1719.4 1513.69 Q1719.4 1516.56 1717.75 1518.55 Q1716.11 1520.52 1713.08 1521.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2156.86 1509.43 L2145.06 1527.88 L2156.86 1527.88 L2156.86 1509.43 M2155.64 1505.36 L2161.51 1505.36 L2161.51 1527.88 L2166.45 1527.88 L2166.45 1531.77 L2161.51 1531.77 L2161.51 1539.92 L2156.86 1539.92 L2156.86 1531.77 L2141.26 1531.77 L2141.26 1527.26 L2155.64 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M74.9365 1431.51 Q71.3254 1431.51 69.4967 1435.08 Q67.6912 1438.62 67.6912 1445.75 Q67.6912 1452.86 69.4967 1456.42 Q71.3254 1459.96 74.9365 1459.96 Q78.5707 1459.96 80.3763 1456.42 Q82.205 1452.86 82.205 1445.75 Q82.205 1438.62 80.3763 1435.08 Q78.5707 1431.51 74.9365 1431.51 M74.9365 1427.81 Q80.7467 1427.81 83.8022 1432.42 Q86.8809 1437 86.8809 1445.75 Q86.8809 1454.48 83.8022 1459.08 Q80.7467 1463.67 74.9365 1463.67 Q69.1264 1463.67 66.0477 1459.08 Q62.9921 1454.48 62.9921 1445.75 Q62.9921 1437 66.0477 1432.42 Q69.1264 1427.81 74.9365 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M91.9503 1457.12 L96.8345 1457.12 L96.8345 1463 L91.9503 1463 L91.9503 1457.12 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M111.904 1431.51 Q108.293 1431.51 106.464 1435.08 Q104.659 1438.62 104.659 1445.75 Q104.659 1452.86 106.464 1456.42 Q108.293 1459.96 111.904 1459.96 Q115.538 1459.96 117.344 1456.42 Q119.172 1452.86 119.172 1445.75 Q119.172 1438.62 117.344 1435.08 Q115.538 1431.51 111.904 1431.51 M111.904 1427.81 Q117.714 1427.81 120.77 1432.42 Q123.848 1437 123.848 1445.75 Q123.848 1454.48 120.77 1459.08 Q117.714 1463.67 111.904 1463.67 Q106.094 1463.67 103.015 1459.08 Q99.9595 1454.48 99.9595 1445.75 Q99.9595 1437 103.015 1432.42 Q106.094 1427.81 111.904 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M138.918 1431.51 Q135.307 1431.51 133.478 1435.08 Q131.672 1438.62 131.672 1445.75 Q131.672 1452.86 133.478 1456.42 Q135.307 1459.96 138.918 1459.96 Q142.552 1459.96 144.357 1456.42 Q146.186 1452.86 146.186 1445.75 Q146.186 1438.62 144.357 1435.08 Q142.552 1431.51 138.918 1431.51 M138.918 1427.81 Q144.728 1427.81 147.783 1432.42 Q150.862 1437 150.862 1445.75 Q150.862 1454.48 147.783 1459.08 Q144.728 1463.67 138.918 1463.67 Q133.107 1463.67 130.029 1459.08 Q126.973 1454.48 126.973 1445.75 Q126.973 1437 130.029 1432.42 Q133.107 1427.81 138.918 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M75.9319 1138.22 Q72.3208 1138.22 70.4921 1141.78 Q68.6865 1145.32 68.6865 1152.45 Q68.6865 1159.56 70.4921 1163.12 Q72.3208 1166.66 75.9319 1166.66 Q79.5661 1166.66 81.3717 1163.12 Q83.2004 1159.56 83.2004 1152.45 Q83.2004 1145.32 81.3717 1141.78 Q79.5661 1138.22 75.9319 1138.22 M75.9319 1134.51 Q81.742 1134.51 84.7976 1139.12 Q87.8763 1143.7 87.8763 1152.45 Q87.8763 1161.18 84.7976 1165.78 Q81.742 1170.37 75.9319 1170.37 Q70.1217 1170.37 67.043 1165.78 Q63.9875 1161.18 63.9875 1152.45 Q63.9875 1143.7 67.043 1139.12 Q70.1217 1134.51 75.9319 1134.51 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M92.9457 1163.82 L97.8299 1163.82 L97.8299 1169.7 L92.9457 1169.7 L92.9457 1163.82 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M112.899 1138.22 Q109.288 1138.22 107.459 1141.78 Q105.654 1145.32 105.654 1152.45 Q105.654 1159.56 107.459 1163.12 Q109.288 1166.66 112.899 1166.66 Q116.534 1166.66 118.339 1163.12 Q120.168 1159.56 120.168 1152.45 Q120.168 1145.32 118.339 1141.78 Q116.534 1138.22 112.899 1138.22 M112.899 1134.51 Q118.709 1134.51 121.765 1139.12 Q124.844 1143.7 124.844 1152.45 Q124.844 1161.18 121.765 1165.78 Q118.709 1170.37 112.899 1170.37 Q107.089 1170.37 104.01 1165.78 Q100.955 1161.18 100.955 1152.45 Q100.955 1143.7 104.01 1139.12 Q107.089 1134.51 112.899 1134.51 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M129.959 1135.14 L148.316 1135.14 L148.316 1139.07 L134.242 1139.07 L134.242 1147.54 Q135.26 1147.2 136.279 1147.03 Q137.297 1146.85 138.316 1146.85 Q144.103 1146.85 147.482 1150.02 Q150.862 1153.19 150.862 1158.61 Q150.862 1164.19 147.39 1167.29 Q143.918 1170.37 137.598 1170.37 Q135.422 1170.37 133.154 1170 Q130.908 1169.63 128.501 1168.89 L128.501 1164.19 Q130.584 1165.32 132.807 1165.88 Q135.029 1166.43 137.506 1166.43 Q141.51 1166.43 143.848 1164.33 Q146.186 1162.22 146.186 1158.61 Q146.186 1155 143.848 1152.89 Q141.51 1150.78 137.506 1150.78 Q135.631 1150.78 133.756 1151.2 Q131.904 1151.62 129.959 1152.5 L129.959 1135.14 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M76.1634 844.917 Q72.5523 844.917 70.7236 848.481 Q68.918 852.023 68.918 859.153 Q68.918 866.259 70.7236 869.824 Q72.5523 873.365 76.1634 873.365 Q79.7976 873.365 81.6031 869.824 Q83.4318 866.259 83.4318 859.153 Q83.4318 852.023 81.6031 848.481 Q79.7976 844.917 76.1634 844.917 M76.1634 841.213 Q81.9735 841.213 85.029 845.819 Q88.1077 850.403 88.1077 859.153 Q88.1077 867.879 85.029 872.486 Q81.9735 877.069 76.1634 877.069 Q70.3532 877.069 67.2745 872.486 Q64.219 867.879 64.219 859.153 Q64.219 850.403 67.2745 845.819 Q70.3532 841.213 76.1634 841.213 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M93.1771 870.518 L98.0614 870.518 L98.0614 876.398 L93.1771 876.398 L93.1771 870.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M103.941 872.463 L111.58 872.463 L111.58 846.097 L103.27 847.764 L103.27 843.505 L111.534 841.838 L116.209 841.838 L116.209 872.463 L123.848 872.463 L123.848 876.398 L103.941 876.398 L103.941 872.463 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M138.918 844.917 Q135.307 844.917 133.478 848.481 Q131.672 852.023 131.672 859.153 Q131.672 866.259 133.478 869.824 Q135.307 873.365 138.918 873.365 Q142.552 873.365 144.357 869.824 Q146.186 866.259 146.186 859.153 Q146.186 852.023 144.357 848.481 Q142.552 844.917 138.918 844.917 M138.918 841.213 Q144.728 841.213 147.783 845.819 Q150.862 850.403 150.862 859.153 Q150.862 867.879 147.783 872.486 Q144.728 877.069 138.918 877.069 Q133.107 877.069 130.029 872.486 Q126.973 867.879 126.973 859.153 Q126.973 850.403 130.029 845.819 Q133.107 841.213 138.918 841.213 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M77.1587 551.618 Q73.5476 551.618 71.7189 555.182 Q69.9134 558.724 69.9134 565.854 Q69.9134 572.96 71.7189 576.525 Q73.5476 580.067 77.1587 580.067 Q80.793 580.067 82.5985 576.525 Q84.4272 572.96 84.4272 565.854 Q84.4272 558.724 82.5985 555.182 Q80.793 551.618 77.1587 551.618 M77.1587 547.914 Q82.9689 547.914 86.0244 552.52 Q89.1031 557.104 89.1031 565.854 Q89.1031 574.58 86.0244 579.187 Q82.9689 583.77 77.1587 583.77 Q71.3486 583.77 68.2699 579.187 Q65.2143 574.58 65.2143 565.854 Q65.2143 557.104 68.2699 552.52 Q71.3486 547.914 77.1587 547.914 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M94.1725 577.219 L99.0567 577.219 L99.0567 583.099 L94.1725 583.099 L94.1725 577.219 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M104.936 579.164 L112.575 579.164 L112.575 552.798 L104.265 554.465 L104.265 550.206 L112.529 548.539 L117.205 548.539 L117.205 579.164 L124.844 579.164 L124.844 583.099 L104.936 583.099 L104.936 579.164 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M129.959 548.539 L148.316 548.539 L148.316 552.474 L134.242 552.474 L134.242 560.946 Q135.26 560.599 136.279 560.437 Q137.297 560.252 138.316 560.252 Q144.103 560.252 147.482 563.423 Q150.862 566.594 150.862 572.011 Q150.862 577.59 147.39 580.692 Q143.918 583.77 137.598 583.77 Q135.422 583.77 133.154 583.4 Q130.908 583.03 128.501 582.289 L128.501 577.59 Q130.584 578.724 132.807 579.28 Q135.029 579.835 137.506 579.835 Q141.51 579.835 143.848 577.729 Q146.186 575.622 146.186 572.011 Q146.186 568.4 143.848 566.293 Q141.51 564.187 137.506 564.187 Q135.631 564.187 133.756 564.604 Q131.904 565.02 129.959 565.9 L129.959 548.539 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M76.5337 258.319 Q72.9226 258.319 71.0939 261.884 Q69.2884 265.425 69.2884 272.555 Q69.2884 279.661 71.0939 283.226 Q72.9226 286.768 76.5337 286.768 Q80.168 286.768 81.9735 283.226 Q83.8022 279.661 83.8022 272.555 Q83.8022 265.425 81.9735 261.884 Q80.168 258.319 76.5337 258.319 M76.5337 254.615 Q82.3439 254.615 85.3994 259.222 Q88.4781 263.805 88.4781 272.555 Q88.4781 281.282 85.3994 285.888 Q82.3439 290.471 76.5337 290.471 Q70.7236 290.471 67.6449 285.888 Q64.5893 281.282 64.5893 272.555 Q64.5893 263.805 67.6449 259.222 Q70.7236 254.615 76.5337 254.615 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M93.5475 283.92 L98.4318 283.92 L98.4318 289.8 L93.5475 289.8 L93.5475 283.92 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M107.529 285.865 L123.848 285.865 L123.848 289.8 L101.904 289.8 L101.904 285.865 Q104.566 283.11 109.149 278.481 Q113.756 273.828 114.936 272.485 Q117.182 269.962 118.061 268.226 Q118.964 266.467 118.964 264.777 Q118.964 262.022 117.02 260.286 Q115.098 258.55 111.996 258.55 Q109.797 258.55 107.344 259.314 Q104.913 260.078 102.135 261.629 L102.135 256.907 Q104.959 255.772 107.413 255.194 Q109.867 254.615 111.904 254.615 Q117.274 254.615 120.469 257.3 Q123.663 259.985 123.663 264.476 Q123.663 266.606 122.853 268.527 Q122.066 270.425 119.959 273.018 Q119.381 273.689 116.279 276.907 Q113.177 280.101 107.529 285.865 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M138.918 258.319 Q135.307 258.319 133.478 261.884 Q131.672 265.425 131.672 272.555 Q131.672 279.661 133.478 283.226 Q135.307 286.768 138.918 286.768 Q142.552 286.768 144.357 283.226 Q146.186 279.661 146.186 272.555 Q146.186 265.425 144.357 261.884 Q142.552 258.319 138.918 258.319 M138.918 254.615 Q144.728 254.615 147.783 259.222 Q150.862 263.805 150.862 272.555 Q150.862 281.282 147.783 285.888 Q144.728 290.471 138.918 290.471 Q133.107 290.471 130.029 285.888 Q126.973 281.282 126.973 272.555 Q126.973 263.805 130.029 259.222 Q133.107 254.615 138.918 254.615 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip002)\" d=\"\n",
                            "M294.65 1445.72 L294.65 1445.72 L452.88 1445.72 L452.88 1445.72 L294.65 1445.72 L294.65 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  294.65,1445.72 294.65,1445.72 452.88,1445.72 294.65,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M492.438 1445.72 L492.438 1445.72 L650.668 1445.72 L650.668 1445.72 L492.438 1445.72 L492.438 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  492.438,1445.72 492.438,1445.72 650.668,1445.72 492.438,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M690.225 992.812 L690.225 1445.72 L848.455 1445.72 L848.455 992.812 L690.225 992.812 L690.225 992.812  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  690.225,992.812 690.225,1445.72 848.455,1445.72 848.455,992.812 690.225,992.812 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M888.013 323.37 L888.013 1445.72 L1046.24 1445.72 L1046.24 323.37 L888.013 323.37 L888.013 323.37  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  888.013,323.37 888.013,1445.72 1046.24,1445.72 1046.24,323.37 888.013,323.37 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1085.8 87.9763 L1085.8 1445.72 L1244.03 1445.72 L1244.03 87.9763 L1085.8 87.9763 L1085.8 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1085.8,87.9763 1085.8,1445.72 1244.03,1445.72 1244.03,87.9763 1085.8,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1283.59 87.9763 L1283.59 1445.72 L1441.82 1445.72 L1441.82 87.9763 L1283.59 87.9763 L1283.59 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1283.59,87.9763 1283.59,1445.72 1441.82,1445.72 1441.82,87.9763 1283.59,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1481.38 323.37 L1481.38 1445.72 L1639.61 1445.72 L1639.61 323.37 L1481.38 323.37 L1481.38 323.37  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1481.38,323.37 1481.38,1445.72 1639.61,1445.72 1639.61,323.37 1481.38,323.37 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1679.16 992.812 L1679.16 1445.72 L1837.39 1445.72 L1837.39 992.812 L1679.16 992.812 L1679.16 992.812  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1679.16,992.812 1679.16,1445.72 1837.39,1445.72 1837.39,992.812 1679.16,992.812 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1876.95 1445.72 L1876.95 1445.72 L2035.18 1445.72 L2035.18 1445.72 L1876.95 1445.72 L1876.95 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1876.95,1445.72 1876.95,1445.72 2035.18,1445.72 1876.95,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M2074.74 1445.72 L2074.74 1445.72 L2232.97 1445.72 L2232.97 1445.72 L2074.74 1445.72 L2074.74 1445.72  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2074.74,1445.72 2074.74,1445.72 2232.97,1445.72 2074.74,1445.72 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M779.23 1016.26 L779.23 1445.72 L858.345 1445.72 L858.345 1016.26 L779.23 1016.26 L779.23 1016.26  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  779.23,1016.26 779.23,1445.72 858.345,1445.72 858.345,1016.26 779.23,1016.26 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M878.123 922.47 L878.123 1445.72 L957.238 1445.72 L957.238 922.47 L878.123 922.47 L878.123 922.47  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  878.123,922.47 878.123,1445.72 957.238,1445.72 957.238,922.47 878.123,922.47 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M977.017 838.916 L977.017 1445.72 L1056.13 1445.72 L1056.13 838.916 L977.017 838.916 L977.017 838.916  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  977.017,838.916 977.017,1445.72 1056.13,1445.72 1056.13,838.916 977.017,838.916 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1075.91 775.925 L1075.91 1445.72 L1155.03 1445.72 L1155.03 775.925 L1075.91 775.925 L1075.91 775.925  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1075.91,775.925 1075.91,1445.72 1155.03,1445.72 1155.03,775.925 1075.91,775.925 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1174.8 742.019 L1174.8 1445.72 L1253.92 1445.72 L1253.92 742.019 L1174.8 742.019 L1174.8 742.019  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1174.8,742.019 1174.8,1445.72 1253.92,1445.72 1253.92,742.019 1174.8,742.019 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1273.7 742.019 L1273.7 1445.72 L1352.81 1445.72 L1352.81 742.019 L1273.7 742.019 L1273.7 742.019  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1273.7,742.019 1273.7,1445.72 1352.81,1445.72 1352.81,742.019 1273.7,742.019 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1372.59 775.925 L1372.59 1445.72 L1451.71 1445.72 L1451.71 775.925 L1372.59 775.925 L1372.59 775.925  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1372.59,775.925 1372.59,1445.72 1451.71,1445.72 1451.71,775.925 1372.59,775.925 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1471.49 838.916 L1471.49 1445.72 L1550.6 1445.72 L1550.6 838.916 L1471.49 838.916 L1471.49 838.916  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1471.49,838.916 1471.49,1445.72 1550.6,1445.72 1550.6,838.916 1471.49,838.916 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1570.38 922.47 L1570.38 1445.72 L1649.49 1445.72 L1649.49 922.47 L1570.38 922.47 L1570.38 922.47  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1570.38,922.47 1570.38,1445.72 1649.49,1445.72 1649.49,922.47 1570.38,922.47 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip002)\" d=\"\n",
                            "M1669.27 1016.26 L1669.27 1445.72 L1748.39 1445.72 L1748.39 1016.26 L1669.27 1016.26 L1669.27 1016.26  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip002)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1669.27,1016.26 1669.27,1445.72 1748.39,1445.72 1748.39,1016.26 1669.27,1016.26 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"\n",
                            "M1705.07 276.658 L2280.16 276.658 L2280.16 95.2176 L1705.07 95.2176  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1705.07,276.658 2280.16,276.658 2280.16,95.2176 1705.07,95.2176 1705.07,276.658 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"\n",
                            "M1729.27 179.89 L1874.46 179.89 L1874.46 131.506 L1729.27 131.506 L1729.27 179.89  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1729.27,179.89 1874.46,179.89 1874.46,131.506 1729.27,131.506 1729.27,179.89 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"M 0 0 M1898.66 138.418 L1905.63 138.418 L1914.45 161.936 L1923.31 138.418 L1930.28 138.418 L1930.28 172.978 L1925.72 172.978 L1925.72 142.63 L1916.81 166.334 L1912.11 166.334 L1903.2 142.63 L1903.2 172.978 L1898.66 172.978 L1898.66 138.418 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1946.53 159.945 Q1941.37 159.945 1939.38 161.126 Q1937.39 162.306 1937.39 165.154 Q1937.39 167.422 1938.87 168.765 Q1940.37 170.084 1942.94 170.084 Q1946.49 170.084 1948.62 167.584 Q1950.77 165.061 1950.77 160.894 L1950.77 159.945 L1946.53 159.945 M1955.03 158.186 L1955.03 172.978 L1950.77 172.978 L1950.77 169.042 Q1949.31 171.403 1947.13 172.538 Q1944.96 173.649 1941.81 173.649 Q1937.83 173.649 1935.47 171.427 Q1933.13 169.181 1933.13 165.431 Q1933.13 161.056 1936.05 158.834 Q1938.99 156.612 1944.8 156.612 L1950.77 156.612 L1950.77 156.195 Q1950.77 153.255 1948.82 151.658 Q1946.9 150.038 1943.41 150.038 Q1941.18 150.038 1939.08 150.57 Q1936.97 151.103 1935.03 152.167 L1935.03 148.232 Q1937.37 147.33 1939.56 146.89 Q1941.76 146.427 1943.85 146.427 Q1949.47 146.427 1952.25 149.343 Q1955.03 152.26 1955.03 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1976.02 147.816 L1976.02 151.843 Q1974.22 150.917 1972.27 150.455 Q1970.33 149.992 1968.24 149.992 Q1965.07 149.992 1963.48 150.964 Q1961.9 151.936 1961.9 153.88 Q1961.9 155.362 1963.04 156.218 Q1964.17 157.052 1967.6 157.816 L1969.05 158.14 Q1973.59 159.112 1975.49 160.894 Q1977.41 162.654 1977.41 165.825 Q1977.41 169.436 1974.54 171.542 Q1971.69 173.649 1966.69 173.649 Q1964.61 173.649 1962.34 173.232 Q1960.1 172.839 1957.6 172.028 L1957.6 167.63 Q1959.96 168.857 1962.25 169.482 Q1964.54 170.084 1966.79 170.084 Q1969.8 170.084 1971.42 169.066 Q1973.04 168.024 1973.04 166.149 Q1973.04 164.413 1971.86 163.487 Q1970.7 162.561 1966.74 161.704 L1965.26 161.357 Q1961.3 160.524 1959.54 158.811 Q1957.78 157.075 1957.78 154.066 Q1957.78 150.408 1960.37 148.418 Q1962.97 146.427 1967.74 146.427 Q1970.1 146.427 1972.18 146.774 Q1974.26 147.121 1976.02 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1998.41 147.816 L1998.41 151.843 Q1996.6 150.917 1994.66 150.455 Q1992.71 149.992 1990.63 149.992 Q1987.46 149.992 1985.86 150.964 Q1984.29 151.936 1984.29 153.88 Q1984.29 155.362 1985.42 156.218 Q1986.55 157.052 1989.98 157.816 L1991.44 158.14 Q1995.98 159.112 1997.87 160.894 Q1999.8 162.654 1999.8 165.825 Q1999.8 169.436 1996.93 171.542 Q1994.08 173.649 1989.08 173.649 Q1986.99 173.649 1984.73 173.232 Q1982.48 172.839 1979.98 172.028 L1979.98 167.63 Q1982.34 168.857 1984.63 169.482 Q1986.93 170.084 1989.17 170.084 Q1992.18 170.084 1993.8 169.066 Q1995.42 168.024 1995.42 166.149 Q1995.42 164.413 1994.24 163.487 Q1993.08 162.561 1989.12 161.704 L1987.64 161.357 Q1983.68 160.524 1981.93 158.811 Q1980.17 157.075 1980.17 154.066 Q1980.17 150.408 1982.76 148.418 Q1985.35 146.427 1990.12 146.427 Q1992.48 146.427 1994.56 146.774 Q1996.65 147.121 1998.41 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2029.38 150.038 Q2025.95 150.038 2023.96 152.723 Q2021.97 155.385 2021.97 160.038 Q2021.97 164.691 2023.94 167.376 Q2025.93 170.038 2029.38 170.038 Q2032.78 170.038 2034.77 167.353 Q2036.76 164.667 2036.76 160.038 Q2036.76 155.431 2034.77 152.746 Q2032.78 150.038 2029.38 150.038 M2029.38 146.427 Q2034.93 146.427 2038.11 150.038 Q2041.28 153.649 2041.28 160.038 Q2041.28 166.404 2038.11 170.038 Q2034.93 173.649 2029.38 173.649 Q2023.8 173.649 2020.63 170.038 Q2017.48 166.404 2017.48 160.038 Q2017.48 153.649 2020.63 150.038 Q2023.8 146.427 2029.38 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2067.3 157.329 L2067.3 172.978 L2063.04 172.978 L2063.04 157.468 Q2063.04 153.788 2061.6 151.959 Q2060.17 150.13 2057.3 150.13 Q2053.85 150.13 2051.86 152.33 Q2049.86 154.529 2049.86 158.325 L2049.86 172.978 L2045.58 172.978 L2045.58 147.052 L2049.86 147.052 L2049.86 151.08 Q2051.39 148.742 2053.45 147.584 Q2055.54 146.427 2058.24 146.427 Q2062.71 146.427 2065 149.205 Q2067.3 151.959 2067.3 157.329 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2103.89 159.714 Q2103.89 155.084 2101.97 152.538 Q2100.07 149.992 2096.62 149.992 Q2093.2 149.992 2091.28 152.538 Q2089.38 155.084 2089.38 159.714 Q2089.38 164.32 2091.28 166.866 Q2093.2 169.413 2096.62 169.413 Q2100.07 169.413 2101.97 166.866 Q2103.89 164.32 2103.89 159.714 M2108.15 169.76 Q2108.15 176.38 2105.21 179.598 Q2102.27 182.839 2096.21 182.839 Q2093.96 182.839 2091.97 182.491 Q2089.98 182.167 2088.11 181.473 L2088.11 177.329 Q2089.98 178.348 2091.81 178.834 Q2093.64 179.32 2095.54 179.32 Q2099.73 179.32 2101.81 177.121 Q2103.89 174.945 2103.89 170.524 L2103.89 168.417 Q2102.57 170.709 2100.51 171.843 Q2098.45 172.978 2095.58 172.978 Q2090.81 172.978 2087.9 169.343 Q2084.98 165.709 2084.98 159.714 Q2084.98 153.695 2087.9 150.061 Q2090.81 146.427 2095.58 146.427 Q2098.45 146.427 2100.51 147.561 Q2102.57 148.695 2103.89 150.987 L2103.89 147.052 L2108.15 147.052 L2108.15 169.76 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2127.64 151.033 Q2126.92 150.617 2126.07 150.431 Q2125.23 150.223 2124.22 150.223 Q2120.6 150.223 2118.66 152.584 Q2116.74 154.922 2116.74 159.32 L2116.74 172.978 L2112.46 172.978 L2112.46 147.052 L2116.74 147.052 L2116.74 151.08 Q2118.08 148.718 2120.23 147.584 Q2122.39 146.427 2125.47 146.427 Q2125.91 146.427 2126.44 146.496 Q2126.97 146.543 2127.62 146.658 L2127.64 151.033 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2132.11 147.052 L2136.37 147.052 L2136.37 172.978 L2132.11 172.978 L2132.11 147.052 M2132.11 136.959 L2136.37 136.959 L2136.37 142.353 L2132.11 142.353 L2132.11 136.959 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2157.9 150.987 L2157.9 136.959 L2162.16 136.959 L2162.16 172.978 L2157.9 172.978 L2157.9 169.089 Q2156.55 171.403 2154.49 172.538 Q2152.46 173.649 2149.59 173.649 Q2144.89 173.649 2141.92 169.899 Q2138.98 166.149 2138.98 160.038 Q2138.98 153.927 2141.92 150.177 Q2144.89 146.427 2149.59 146.427 Q2152.46 146.427 2154.49 147.561 Q2156.55 148.672 2157.9 150.987 M2143.38 160.038 Q2143.38 164.737 2145.3 167.422 Q2147.25 170.084 2150.63 170.084 Q2154.01 170.084 2155.95 167.422 Q2157.9 164.737 2157.9 160.038 Q2157.9 155.339 2155.95 152.677 Q2154.01 149.992 2150.63 149.992 Q2147.25 149.992 2145.3 152.677 Q2143.38 155.339 2143.38 160.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"\n",
                            "M1729.27 240.37 L1874.46 240.37 L1874.46 191.986 L1729.27 191.986 L1729.27 240.37  Z\n",
                            "  \" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1729.27,240.37 1874.46,240.37 1874.46,191.986 1729.27,191.986 1729.27,240.37 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip000)\" d=\"M 0 0 M1898.66 198.898 L1905.63 198.898 L1914.45 222.416 L1923.31 198.898 L1930.28 198.898 L1930.28 233.458 L1925.72 233.458 L1925.72 203.11 L1916.81 226.814 L1912.11 226.814 L1903.2 203.11 L1903.2 233.458 L1898.66 233.458 L1898.66 198.898 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1946.53 220.425 Q1941.37 220.425 1939.38 221.606 Q1937.39 222.786 1937.39 225.634 Q1937.39 227.902 1938.87 229.245 Q1940.37 230.564 1942.94 230.564 Q1946.49 230.564 1948.62 228.064 Q1950.77 225.541 1950.77 221.374 L1950.77 220.425 L1946.53 220.425 M1955.03 218.666 L1955.03 233.458 L1950.77 233.458 L1950.77 229.522 Q1949.31 231.883 1947.13 233.018 Q1944.96 234.129 1941.81 234.129 Q1937.83 234.129 1935.47 231.907 Q1933.13 229.661 1933.13 225.911 Q1933.13 221.536 1936.05 219.314 Q1938.99 217.092 1944.8 217.092 L1950.77 217.092 L1950.77 216.675 Q1950.77 213.735 1948.82 212.138 Q1946.9 210.518 1943.41 210.518 Q1941.18 210.518 1939.08 211.05 Q1936.97 211.583 1935.03 212.647 L1935.03 208.712 Q1937.37 207.81 1939.56 207.37 Q1941.76 206.907 1943.85 206.907 Q1949.47 206.907 1952.25 209.823 Q1955.03 212.74 1955.03 218.666 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1976.02 208.296 L1976.02 212.323 Q1974.22 211.397 1972.27 210.935 Q1970.33 210.472 1968.24 210.472 Q1965.07 210.472 1963.48 211.444 Q1961.9 212.416 1961.9 214.36 Q1961.9 215.842 1963.04 216.698 Q1964.17 217.532 1967.6 218.296 L1969.05 218.62 Q1973.59 219.592 1975.49 221.374 Q1977.41 223.134 1977.41 226.305 Q1977.41 229.916 1974.54 232.022 Q1971.69 234.129 1966.69 234.129 Q1964.61 234.129 1962.34 233.712 Q1960.1 233.319 1957.6 232.508 L1957.6 228.11 Q1959.96 229.337 1962.25 229.962 Q1964.54 230.564 1966.79 230.564 Q1969.8 230.564 1971.42 229.546 Q1973.04 228.504 1973.04 226.629 Q1973.04 224.893 1971.86 223.967 Q1970.7 223.041 1966.74 222.184 L1965.26 221.837 Q1961.3 221.004 1959.54 219.291 Q1957.78 217.555 1957.78 214.546 Q1957.78 210.888 1960.37 208.898 Q1962.97 206.907 1967.74 206.907 Q1970.1 206.907 1972.18 207.254 Q1974.26 207.601 1976.02 208.296 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M1998.41 208.296 L1998.41 212.323 Q1996.6 211.397 1994.66 210.935 Q1992.71 210.472 1990.63 210.472 Q1987.46 210.472 1985.86 211.444 Q1984.29 212.416 1984.29 214.36 Q1984.29 215.842 1985.42 216.698 Q1986.55 217.532 1989.98 218.296 L1991.44 218.62 Q1995.98 219.592 1997.87 221.374 Q1999.8 223.134 1999.8 226.305 Q1999.8 229.916 1996.93 232.022 Q1994.08 234.129 1989.08 234.129 Q1986.99 234.129 1984.73 233.712 Q1982.48 233.319 1979.98 232.508 L1979.98 228.11 Q1982.34 229.337 1984.63 229.962 Q1986.93 230.564 1989.17 230.564 Q1992.18 230.564 1993.8 229.546 Q1995.42 228.504 1995.42 226.629 Q1995.42 224.893 1994.24 223.967 Q1993.08 223.041 1989.12 222.184 L1987.64 221.837 Q1983.68 221.004 1981.93 219.291 Q1980.17 217.555 1980.17 214.546 Q1980.17 210.888 1982.76 208.898 Q1985.35 206.907 1990.12 206.907 Q1992.48 206.907 1994.56 207.254 Q1996.65 207.601 1998.41 208.296 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2023.55 200.171 L2023.55 207.532 L2032.32 207.532 L2032.32 210.842 L2023.55 210.842 L2023.55 224.916 Q2023.55 228.087 2024.4 228.99 Q2025.28 229.893 2027.94 229.893 L2032.32 229.893 L2032.32 233.458 L2027.94 233.458 Q2023.01 233.458 2021.14 231.629 Q2019.26 229.777 2019.26 224.916 L2019.26 210.842 L2016.14 210.842 L2016.14 207.532 L2019.26 207.532 L2019.26 200.171 L2023.55 200.171 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2051.81 211.513 Q2051.09 211.097 2050.23 210.911 Q2049.4 210.703 2048.38 210.703 Q2044.77 210.703 2042.83 213.064 Q2040.91 215.402 2040.91 219.8 L2040.91 233.458 L2036.62 233.458 L2036.62 207.532 L2040.91 207.532 L2040.91 211.56 Q2042.25 209.198 2044.4 208.064 Q2046.55 206.907 2049.63 206.907 Q2050.07 206.907 2050.61 206.976 Q2051.14 207.023 2051.79 207.138 L2051.81 211.513 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2055.84 223.226 L2055.84 207.532 L2060.1 207.532 L2060.1 223.064 Q2060.1 226.745 2061.53 228.596 Q2062.97 230.425 2065.84 230.425 Q2069.29 230.425 2071.28 228.226 Q2073.29 226.027 2073.29 222.231 L2073.29 207.532 L2077.55 207.532 L2077.55 233.458 L2073.29 233.458 L2073.29 229.476 Q2071.74 231.837 2069.68 232.995 Q2067.64 234.129 2064.93 234.129 Q2060.47 234.129 2058.15 231.351 Q2055.84 228.573 2055.84 223.226 M2066.55 206.907 L2066.55 206.907 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2104.19 219.43 L2104.19 221.513 L2084.61 221.513 Q2084.89 225.911 2087.25 228.226 Q2089.63 230.518 2093.87 230.518 Q2096.32 230.518 2098.61 229.916 Q2100.93 229.314 2103.2 228.11 L2103.2 232.138 Q2100.91 233.11 2098.5 233.62 Q2096.09 234.129 2093.61 234.129 Q2087.41 234.129 2083.78 230.518 Q2080.17 226.907 2080.17 220.749 Q2080.17 214.384 2083.59 210.657 Q2087.04 206.907 2092.87 206.907 Q2098.11 206.907 2101.14 210.286 Q2104.19 213.643 2104.19 219.43 M2099.93 218.18 Q2099.89 214.685 2097.97 212.601 Q2096.07 210.518 2092.92 210.518 Q2089.36 210.518 2087.2 212.532 Q2085.07 214.546 2084.75 218.203 L2099.93 218.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2120.67 207.532 L2125.19 207.532 L2133.29 229.291 L2141.39 207.532 L2145.91 207.532 L2136.18 233.458 L2130.4 233.458 L2120.67 207.532 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2162.16 220.425 Q2156.99 220.425 2155 221.606 Q2153.01 222.786 2153.01 225.634 Q2153.01 227.902 2154.49 229.245 Q2156 230.564 2158.57 230.564 Q2162.11 230.564 2164.24 228.064 Q2166.39 225.541 2166.39 221.374 L2166.39 220.425 L2162.16 220.425 M2170.65 218.666 L2170.65 233.458 L2166.39 233.458 L2166.39 229.522 Q2164.93 231.883 2162.76 233.018 Q2160.58 234.129 2157.43 234.129 Q2153.45 234.129 2151.09 231.907 Q2148.75 229.661 2148.75 225.911 Q2148.75 221.536 2151.67 219.314 Q2154.61 217.092 2160.42 217.092 L2166.39 217.092 L2166.39 216.675 Q2166.39 213.735 2164.45 212.138 Q2162.53 210.518 2159.03 210.518 Q2156.81 210.518 2154.7 211.05 Q2152.6 211.583 2150.65 212.647 L2150.65 208.712 Q2152.99 207.81 2155.19 207.37 Q2157.39 206.907 2159.47 206.907 Q2165.1 206.907 2167.87 209.823 Q2170.65 212.74 2170.65 218.666 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2175.12 197.439 L2179.38 197.439 L2179.38 233.458 L2175.12 233.458 L2175.12 197.439 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2183.41 223.226 L2183.41 207.532 L2187.66 207.532 L2187.66 223.064 Q2187.66 226.745 2189.1 228.596 Q2190.54 230.425 2193.41 230.425 Q2196.85 230.425 2198.85 228.226 Q2200.86 226.027 2200.86 222.231 L2200.86 207.532 L2205.12 207.532 L2205.12 233.458 L2200.86 233.458 L2200.86 229.476 Q2199.31 231.837 2197.25 232.995 Q2195.21 234.129 2192.5 234.129 Q2188.04 234.129 2185.72 231.351 Q2183.41 228.573 2183.41 223.226 M2194.12 206.907 L2194.12 206.907 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip000)\" d=\"M 0 0 M2231.76 219.43 L2231.76 221.513 L2212.18 221.513 Q2212.46 225.911 2214.82 228.226 Q2217.2 230.518 2221.44 230.518 Q2223.89 230.518 2226.18 229.916 Q2228.5 229.314 2230.77 228.11 L2230.77 232.138 Q2228.47 233.11 2226.07 233.62 Q2223.66 234.129 2221.18 234.129 Q2214.98 234.129 2211.35 230.518 Q2207.73 226.907 2207.73 220.749 Q2207.73 214.384 2211.16 210.657 Q2214.61 206.907 2220.44 206.907 Q2225.67 206.907 2228.71 210.286 Q2231.76 213.643 2231.76 219.43 M2227.5 218.18 Q2227.46 214.685 2225.53 212.601 Q2223.64 210.518 2220.49 210.518 Q2216.92 210.518 2214.77 212.532 Q2212.64 214.546 2212.32 218.203 L2227.5 218.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
                        ]
                    },
                    "execution_count": 22,
                    "metadata": {},
                    "output_type": "execute_result"
                }
            ],
            "source": [
                "w_min = minimum(w_grid)\n",
                "w_max = maximum(w_grid)\n",
                "nW = length(w_grid)\n",
                "\n",
                "hw_grid=zeros(nW);\n",
                "\n",
                "\n",
                "for (wIndexTrue, w) in enumerate(w_true)\n",
                "    \n",
                "    mass = mass_true[wIndexTrue] #mass\n",
                "\n",
                "    # Project true value on the grid:\n",
                "    (wValue_proj, wIndex_proj) = closest_value_and_index(w_grid, w)\n",
                "\n",
                "    # To store the location of the value below and above the true value:\n",
                "    wIndex_below = 0\n",
                "    wIndex_above = 0\n",
                "\n",
                "    # If the true value is above the projection\n",
                "    if w >= wValue_proj\n",
                "        wIndex_below = wIndex_proj\n",
                "        wIndex_above = wIndex_proj + 1\n",
                "    # If the true value is below the projection\n",
                "    elseif w < wValue_proj\n",
                "        wIndex_below = wIndex_proj -1 \n",
                "        wIndex_above = wIndex_proj \n",
                "    end\n",
                "\n",
                "    # Boundary cases\n",
                "    if wIndex_proj == 1\n",
                "        wIndex_below = 1\n",
                "        wIndex_above = 2\n",
                "    elseif wIndex_proj == nW\n",
                "        wIndex_below = nW - 1\n",
                "        wIndex_above = nW\n",
                "    end\n",
                "\n",
                "    # Special case 1: w < w_min\n",
                "    if w <= w_min\n",
                "        p = 1\n",
                "    elseif w >= w_max\n",
                "    # Special case 2: w > w_max\n",
                "        p = 0\n",
                "    else\n",
                "        p = 1.0 - ((w - w_grid[wIndex_below])/(w_grid[wIndex_above] - w_grid[wIndex_below]))\n",
                "        p = min(1.0, max(0.0, p))\n",
                "    end\n",
                "\n",
                "    p = 1.0 - ((w - w_grid[wIndex_below])/(w_grid[wIndex_above] - w_grid[wIndex_below]))\n",
                "    p = min(1.0, max(0.0, p))\n",
                "\n",
                "    # Spread the mass:\n",
                "    # 1. Point below\n",
                "    hw_grid[wIndex_below] += p*mass\n",
                "\n",
                "    # 2. Point above:\n",
                "    hw_grid[wIndex_above] += (1.0 - p)*mass\n",
                "\n",
                "end\n",
                "\n",
                "bar(w_grid, hw_grid, label=\"Mass on grid\")\n",
                "bar!(w_true, mass_true, label=\"Mass true value\")"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "A good property of [Young's method (2010)](https://ideas.repec.org/a/eee/dyncon/v34y2010i1p36-41.html) is that, **as long as the grid is wide enough** to so that true values fall within it, **the mean of the true underlying distribution is preserved**:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 23,
            "metadata": {
                "scrolled": false
            },
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": [
                        "True mean 2.0\n",
                        "Approximate mean 2.0\n"
                    ]
                }
            ],
            "source": [
                "println(\"True mean $(round(mean(w_true, weights(mass_true./sum(mass_true))), digits = 4))\")\n",
                "println(\"Approximate mean $(round(mean(w_grid, weights(hw_grid./sum(hw_grid))), digits = 4))\")"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "However, there are some **approximation errors** when **higher moments** are involved such as the variance, or when calculating **percentiles**. But the finest the grid, the better the approximation gets."
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 24,
            "metadata": {},
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": [
                        "True median 1.9567\n",
                        "Approximate median 1.8519\n",
                        "True variance 0.3465\n",
                        "Approximate variance 0.3836\n"
                    ]
                }
            ],
            "source": [
                "println(\"True median $(round(quantile(w_true, weights(mass_true./sum(mass_true)), 0.5), digits = 4))\")\n",
                "println(\"Approximate median $(round(quantile(w_grid, weights(hw_grid./sum(hw_grid)), 0.5), digits = 4))\")\n",
                "\n",
                "println(\"True variance $(round(var(w_true, weights(mass_true./sum(mass_true))), digits = 4))\")\n",
                "println(\"Approximate variance $(round(var(w_grid, weights(hw_grid./sum(hw_grid))), digits = 4))\")"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Using a panel of agents"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Alternatively, one may use a large number of agents to approximate the true underlying distribution. The idea is that if the number of agents is large enough, the [central limit theorem](https://en.wikipedia.org/wiki/Central_limit_theorem) will kick in. The issue is that we need a large number of agents to get the approximation right, as illustrated below:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 25,
            "metadata": {},
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": [
                        "True mean 2.0\n",
                        "Approximate mean 1.9955\n",
                        "True median 1.9567\n",
                        "Approximate median 1.9971\n",
                        "True variance 0.3465\n",
                        "Approximate variance 0.2754\n"
                    ]
                },
                {
                    "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=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip040\">\n",
                            "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip041\">\n",
                            "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M201.876 1486.45 L1172.89 1486.45 L1172.89 47.2441 L201.876 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip042\">\n",
                            "    <rect x=\"201\" y=\"47\" width=\"972\" height=\"1440\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  290.557,1486.45 290.557,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  488.971,1486.45 488.971,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  687.385,1486.45 687.385,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  885.799,1486.45 885.799,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1084.21,1486.45 1084.21,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,1445.72 1172.89,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,1162.76 1172.89,1162.76 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,879.814 1172.89,879.814 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,596.862 1172.89,596.862 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  201.876,313.911 1172.89,313.911 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1486.45 1172.89,1486.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1486.45 201.876,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  290.557,1486.45 290.557,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  488.971,1486.45 488.971,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  687.385,1486.45 687.385,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  885.799,1486.45 885.799,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1084.21,1486.45 1084.21,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1445.72 213.528,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,1162.76 213.528,1162.76 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,879.814 213.528,879.814 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,596.862 213.528,596.862 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  201.876,313.911 213.528,313.911 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"M 0 0 M262.455 1535.98 L270.094 1535.98 L270.094 1509.62 L261.784 1511.29 L261.784 1507.03 L270.048 1505.36 L274.724 1505.36 L274.724 1535.98 L282.363 1535.98 L282.363 1539.92 L262.455 1539.92 L262.455 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M287.432 1534.04 L292.316 1534.04 L292.316 1539.92 L287.432 1539.92 L287.432 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M307.386 1508.44 Q303.775 1508.44 301.946 1512 Q300.14 1515.55 300.14 1522.67 Q300.14 1529.78 301.946 1533.35 Q303.775 1536.89 307.386 1536.89 Q311.02 1536.89 312.826 1533.35 Q314.654 1529.78 314.654 1522.67 Q314.654 1515.55 312.826 1512 Q311.02 1508.44 307.386 1508.44 M307.386 1504.73 Q313.196 1504.73 316.251 1509.34 Q319.33 1513.92 319.33 1522.67 Q319.33 1531.4 316.251 1536.01 Q313.196 1540.59 307.386 1540.59 Q301.576 1540.59 298.497 1536.01 Q295.441 1531.4 295.441 1522.67 Q295.441 1513.92 298.497 1509.34 Q301.576 1504.73 307.386 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M461.367 1535.98 L469.006 1535.98 L469.006 1509.62 L460.696 1511.29 L460.696 1507.03 L468.96 1505.36 L473.636 1505.36 L473.636 1535.98 L481.274 1535.98 L481.274 1539.92 L461.367 1539.92 L461.367 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M486.344 1534.04 L491.228 1534.04 L491.228 1539.92 L486.344 1539.92 L486.344 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M496.344 1505.36 L514.7 1505.36 L514.7 1509.3 L500.626 1509.3 L500.626 1517.77 Q501.645 1517.42 502.663 1517.26 Q503.682 1517.07 504.7 1517.07 Q510.487 1517.07 513.867 1520.24 Q517.246 1523.42 517.246 1528.83 Q517.246 1534.41 513.774 1537.51 Q510.302 1540.59 503.983 1540.59 Q501.807 1540.59 499.538 1540.22 Q497.293 1539.85 494.886 1539.11 L494.886 1534.41 Q496.969 1535.54 499.191 1536.1 Q501.413 1536.66 503.89 1536.66 Q507.895 1536.66 510.233 1534.55 Q512.571 1532.44 512.571 1528.83 Q512.571 1525.22 510.233 1523.11 Q507.895 1521.01 503.89 1521.01 Q502.015 1521.01 500.14 1521.42 Q498.288 1521.84 496.344 1522.72 L496.344 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M663.554 1535.98 L679.874 1535.98 L679.874 1539.92 L657.929 1539.92 L657.929 1535.98 Q660.591 1533.23 665.175 1528.6 Q669.781 1523.95 670.962 1522.61 Q673.207 1520.08 674.087 1518.35 Q674.989 1516.59 674.989 1514.9 Q674.989 1512.14 673.045 1510.41 Q671.124 1508.67 668.022 1508.67 Q665.823 1508.67 663.369 1509.43 Q660.939 1510.2 658.161 1511.75 L658.161 1507.03 Q660.985 1505.89 663.439 1505.31 Q665.892 1504.73 667.929 1504.73 Q673.3 1504.73 676.494 1507.42 Q679.689 1510.11 679.689 1514.6 Q679.689 1516.73 678.878 1518.65 Q678.091 1520.54 675.985 1523.14 Q675.406 1523.81 672.304 1527.03 Q669.202 1530.22 663.554 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M684.943 1534.04 L689.827 1534.04 L689.827 1539.92 L684.943 1539.92 L684.943 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M704.897 1508.44 Q701.286 1508.44 699.457 1512 Q697.651 1515.55 697.651 1522.67 Q697.651 1529.78 699.457 1533.35 Q701.286 1536.89 704.897 1536.89 Q708.531 1536.89 710.336 1533.35 Q712.165 1529.78 712.165 1522.67 Q712.165 1515.55 710.336 1512 Q708.531 1508.44 704.897 1508.44 M704.897 1504.73 Q710.707 1504.73 713.762 1509.34 Q716.841 1513.92 716.841 1522.67 Q716.841 1531.4 713.762 1536.01 Q710.707 1540.59 704.897 1540.59 Q699.087 1540.59 696.008 1536.01 Q692.952 1531.4 692.952 1522.67 Q692.952 1513.92 696.008 1509.34 Q699.087 1504.73 704.897 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M862.466 1535.98 L878.785 1535.98 L878.785 1539.92 L856.841 1539.92 L856.841 1535.98 Q859.503 1533.23 864.086 1528.6 Q868.693 1523.95 869.873 1522.61 Q872.119 1520.08 872.998 1518.35 Q873.901 1516.59 873.901 1514.9 Q873.901 1512.14 871.957 1510.41 Q870.035 1508.67 866.934 1508.67 Q864.735 1508.67 862.281 1509.43 Q859.85 1510.2 857.073 1511.75 L857.073 1507.03 Q859.897 1505.89 862.35 1505.31 Q864.804 1504.73 866.841 1504.73 Q872.211 1504.73 875.406 1507.42 Q878.6 1510.11 878.6 1514.6 Q878.6 1516.73 877.79 1518.65 Q877.003 1520.54 874.897 1523.14 Q874.318 1523.81 871.216 1527.03 Q868.114 1530.22 862.466 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M883.855 1534.04 L888.739 1534.04 L888.739 1539.92 L883.855 1539.92 L883.855 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M893.855 1505.36 L912.211 1505.36 L912.211 1509.3 L898.137 1509.3 L898.137 1517.77 Q899.156 1517.42 900.174 1517.26 Q901.193 1517.07 902.211 1517.07 Q907.998 1517.07 911.378 1520.24 Q914.757 1523.42 914.757 1528.83 Q914.757 1534.41 911.285 1537.51 Q907.813 1540.59 901.494 1540.59 Q899.318 1540.59 897.049 1540.22 Q894.804 1539.85 892.396 1539.11 L892.396 1534.41 Q894.48 1535.54 896.702 1536.1 Q898.924 1536.66 901.401 1536.66 Q905.406 1536.66 907.744 1534.55 Q910.082 1532.44 910.082 1528.83 Q910.082 1525.22 907.744 1523.11 Q905.406 1521.01 901.401 1521.01 Q899.526 1521.01 897.651 1521.42 Q895.799 1521.84 893.855 1522.72 L893.855 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1069.98 1521.29 Q1073.33 1522 1075.21 1524.27 Q1077.11 1526.54 1077.11 1529.87 Q1077.11 1534.99 1073.59 1537.79 Q1070.07 1540.59 1063.59 1540.59 Q1061.41 1540.59 1059.1 1540.15 Q1056.81 1539.73 1054.35 1538.88 L1054.35 1534.36 Q1056.3 1535.5 1058.61 1536.08 Q1060.93 1536.66 1063.45 1536.66 Q1067.85 1536.66 1070.14 1534.92 Q1072.45 1533.18 1072.45 1529.87 Q1072.45 1526.82 1070.3 1525.11 Q1068.17 1523.37 1064.35 1523.37 L1060.32 1523.37 L1060.32 1519.53 L1064.54 1519.53 Q1067.99 1519.53 1069.82 1518.16 Q1071.64 1516.77 1071.64 1514.18 Q1071.64 1511.52 1069.75 1510.11 Q1067.87 1508.67 1064.35 1508.67 Q1062.43 1508.67 1060.23 1509.09 Q1058.03 1509.5 1055.39 1510.38 L1055.39 1506.22 Q1058.06 1505.48 1060.37 1505.11 Q1062.71 1504.73 1064.77 1504.73 Q1070.09 1504.73 1073.19 1507.17 Q1076.3 1509.57 1076.3 1513.69 Q1076.3 1516.56 1074.65 1518.55 Q1073.01 1520.52 1069.98 1521.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1082.18 1534.04 L1087.06 1534.04 L1087.06 1539.92 L1082.18 1539.92 L1082.18 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1102.13 1508.44 Q1098.52 1508.44 1096.69 1512 Q1094.88 1515.55 1094.88 1522.67 Q1094.88 1529.78 1096.69 1533.35 Q1098.52 1536.89 1102.13 1536.89 Q1105.76 1536.89 1107.57 1533.35 Q1109.4 1529.78 1109.4 1522.67 Q1109.4 1515.55 1107.57 1512 Q1105.76 1508.44 1102.13 1508.44 M1102.13 1504.73 Q1107.94 1504.73 1111 1509.34 Q1114.07 1513.92 1114.07 1522.67 Q1114.07 1531.4 1111 1536.01 Q1107.94 1540.59 1102.13 1540.59 Q1096.32 1540.59 1093.24 1536.01 Q1090.19 1531.4 1090.19 1522.67 Q1090.19 1513.92 1093.24 1509.34 Q1096.32 1504.73 1102.13 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M74.9365 1431.51 Q71.3254 1431.51 69.4967 1435.08 Q67.6912 1438.62 67.6912 1445.75 Q67.6912 1452.86 69.4967 1456.42 Q71.3254 1459.96 74.9365 1459.96 Q78.5707 1459.96 80.3763 1456.42 Q82.205 1452.86 82.205 1445.75 Q82.205 1438.62 80.3763 1435.08 Q78.5707 1431.51 74.9365 1431.51 M74.9365 1427.81 Q80.7467 1427.81 83.8022 1432.42 Q86.8809 1437 86.8809 1445.75 Q86.8809 1454.48 83.8022 1459.08 Q80.7467 1463.67 74.9365 1463.67 Q69.1264 1463.67 66.0477 1459.08 Q62.9921 1454.48 62.9921 1445.75 Q62.9921 1437 66.0477 1432.42 Q69.1264 1427.81 74.9365 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M91.9503 1457.12 L96.8345 1457.12 L96.8345 1463 L91.9503 1463 L91.9503 1457.12 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M111.904 1431.51 Q108.293 1431.51 106.464 1435.08 Q104.659 1438.62 104.659 1445.75 Q104.659 1452.86 106.464 1456.42 Q108.293 1459.96 111.904 1459.96 Q115.538 1459.96 117.344 1456.42 Q119.172 1452.86 119.172 1445.75 Q119.172 1438.62 117.344 1435.08 Q115.538 1431.51 111.904 1431.51 M111.904 1427.81 Q117.714 1427.81 120.77 1432.42 Q123.848 1437 123.848 1445.75 Q123.848 1454.48 120.77 1459.08 Q117.714 1463.67 111.904 1463.67 Q106.094 1463.67 103.015 1459.08 Q99.9595 1454.48 99.9595 1445.75 Q99.9595 1437 103.015 1432.42 Q106.094 1427.81 111.904 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M138.918 1431.51 Q135.307 1431.51 133.478 1435.08 Q131.672 1438.62 131.672 1445.75 Q131.672 1452.86 133.478 1456.42 Q135.307 1459.96 138.918 1459.96 Q142.552 1459.96 144.357 1456.42 Q146.186 1452.86 146.186 1445.75 Q146.186 1438.62 144.357 1435.08 Q142.552 1431.51 138.918 1431.51 M138.918 1427.81 Q144.728 1427.81 147.783 1432.42 Q150.862 1437 150.862 1445.75 Q150.862 1454.48 147.783 1459.08 Q144.728 1463.67 138.918 1463.67 Q133.107 1463.67 130.029 1459.08 Q126.973 1454.48 126.973 1445.75 Q126.973 1437 130.029 1432.42 Q133.107 1427.81 138.918 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M165.931 1431.51 Q162.32 1431.51 160.492 1435.08 Q158.686 1438.62 158.686 1445.75 Q158.686 1452.86 160.492 1456.42 Q162.32 1459.96 165.931 1459.96 Q169.566 1459.96 171.371 1456.42 Q173.2 1452.86 173.2 1445.75 Q173.2 1438.62 171.371 1435.08 Q169.566 1431.51 165.931 1431.51 M165.931 1427.81 Q171.742 1427.81 174.797 1432.42 Q177.876 1437 177.876 1445.75 Q177.876 1454.48 174.797 1459.08 Q171.742 1463.67 165.931 1463.67 Q160.121 1463.67 157.043 1459.08 Q153.987 1454.48 153.987 1445.75 Q153.987 1437 157.043 1432.42 Q160.121 1427.81 165.931 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M77.5291 1148.56 Q73.918 1148.56 72.0893 1152.13 Q70.2838 1155.67 70.2838 1162.8 Q70.2838 1169.91 72.0893 1173.47 Q73.918 1177.01 77.5291 1177.01 Q81.1633 1177.01 82.9689 1173.47 Q84.7976 1169.91 84.7976 1162.8 Q84.7976 1155.67 82.9689 1152.13 Q81.1633 1148.56 77.5291 1148.56 M77.5291 1144.86 Q83.3392 1144.86 86.3948 1149.47 Q89.4735 1154.05 89.4735 1162.8 Q89.4735 1171.53 86.3948 1176.13 Q83.3392 1180.72 77.5291 1180.72 Q71.7189 1180.72 68.6402 1176.13 Q65.5847 1171.53 65.5847 1162.8 Q65.5847 1154.05 68.6402 1149.47 Q71.7189 1144.86 77.5291 1144.86 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M94.5429 1174.17 L99.4271 1174.17 L99.4271 1180.04 L94.5429 1180.04 L94.5429 1174.17 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M114.496 1148.56 Q110.885 1148.56 109.057 1152.13 Q107.251 1155.67 107.251 1162.8 Q107.251 1169.91 109.057 1173.47 Q110.885 1177.01 114.496 1177.01 Q118.131 1177.01 119.936 1173.47 Q121.765 1169.91 121.765 1162.8 Q121.765 1155.67 119.936 1152.13 Q118.131 1148.56 114.496 1148.56 M114.496 1144.86 Q120.307 1144.86 123.362 1149.47 Q126.441 1154.05 126.441 1162.8 Q126.441 1171.53 123.362 1176.13 Q120.307 1180.72 114.496 1180.72 Q108.686 1180.72 105.608 1176.13 Q102.552 1171.53 102.552 1162.8 Q102.552 1154.05 105.608 1149.47 Q108.686 1144.86 114.496 1144.86 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M135.538 1176.11 L151.857 1176.11 L151.857 1180.04 L129.913 1180.04 L129.913 1176.11 Q132.575 1173.35 137.158 1168.73 Q141.765 1164.07 142.945 1162.73 Q145.191 1160.21 146.07 1158.47 Q146.973 1156.71 146.973 1155.02 Q146.973 1152.27 145.029 1150.53 Q143.107 1148.79 140.006 1148.79 Q137.807 1148.79 135.353 1149.56 Q132.922 1150.32 130.145 1151.87 L130.145 1147.15 Q132.969 1146.02 135.422 1145.44 Q137.876 1144.86 139.913 1144.86 Q145.283 1144.86 148.478 1147.54 Q151.672 1150.23 151.672 1154.72 Q151.672 1156.85 150.862 1158.77 Q150.075 1160.67 147.969 1163.26 Q147.39 1163.93 144.288 1167.15 Q141.186 1170.35 135.538 1176.11 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M156.973 1145.48 L175.329 1145.48 L175.329 1149.42 L161.255 1149.42 L161.255 1157.89 Q162.274 1157.54 163.293 1157.38 Q164.311 1157.2 165.33 1157.2 Q171.117 1157.2 174.496 1160.37 Q177.876 1163.54 177.876 1168.96 Q177.876 1174.54 174.404 1177.64 Q170.931 1180.72 164.612 1180.72 Q162.436 1180.72 160.168 1180.35 Q157.922 1179.98 155.515 1179.23 L155.515 1174.54 Q157.598 1175.67 159.82 1176.23 Q162.043 1176.78 164.519 1176.78 Q168.524 1176.78 170.862 1174.67 Q173.2 1172.57 173.2 1168.96 Q173.2 1165.35 170.862 1163.24 Q168.524 1161.13 164.519 1161.13 Q162.644 1161.13 160.769 1161.55 Q158.918 1161.97 156.973 1162.85 L156.973 1145.48 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M75.9319 865.612 Q72.3208 865.612 70.4921 869.177 Q68.6865 872.719 68.6865 879.848 Q68.6865 886.955 70.4921 890.519 Q72.3208 894.061 75.9319 894.061 Q79.5661 894.061 81.3717 890.519 Q83.2004 886.955 83.2004 879.848 Q83.2004 872.719 81.3717 869.177 Q79.5661 865.612 75.9319 865.612 M75.9319 861.909 Q81.742 861.909 84.7976 866.515 Q87.8763 871.098 87.8763 879.848 Q87.8763 888.575 84.7976 893.181 Q81.742 897.765 75.9319 897.765 Q70.1217 897.765 67.043 893.181 Q63.9875 888.575 63.9875 879.848 Q63.9875 871.098 67.043 866.515 Q70.1217 861.909 75.9319 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M92.9457 891.214 L97.8299 891.214 L97.8299 897.094 L92.9457 897.094 L92.9457 891.214 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M112.899 865.612 Q109.288 865.612 107.459 869.177 Q105.654 872.719 105.654 879.848 Q105.654 886.955 107.459 890.519 Q109.288 894.061 112.899 894.061 Q116.534 894.061 118.339 890.519 Q120.168 886.955 120.168 879.848 Q120.168 872.719 118.339 869.177 Q116.534 865.612 112.899 865.612 M112.899 861.909 Q118.709 861.909 121.765 866.515 Q124.844 871.098 124.844 879.848 Q124.844 888.575 121.765 893.181 Q118.709 897.765 112.899 897.765 Q107.089 897.765 104.01 893.181 Q100.955 888.575 100.955 879.848 Q100.955 871.098 104.01 866.515 Q107.089 861.909 112.899 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M129.959 862.534 L148.316 862.534 L148.316 866.469 L134.242 866.469 L134.242 874.941 Q135.26 874.594 136.279 874.432 Q137.297 874.246 138.316 874.246 Q144.103 874.246 147.482 877.418 Q150.862 880.589 150.862 886.006 Q150.862 891.584 147.39 894.686 Q143.918 897.765 137.598 897.765 Q135.422 897.765 133.154 897.394 Q130.908 897.024 128.501 896.283 L128.501 891.584 Q130.584 892.719 132.807 893.274 Q135.029 893.83 137.506 893.83 Q141.51 893.83 143.848 891.723 Q146.186 889.617 146.186 886.006 Q146.186 882.395 143.848 880.288 Q141.51 878.182 137.506 878.182 Q135.631 878.182 133.756 878.598 Q131.904 879.015 129.959 879.895 L129.959 862.534 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M165.931 865.612 Q162.32 865.612 160.492 869.177 Q158.686 872.719 158.686 879.848 Q158.686 886.955 160.492 890.519 Q162.32 894.061 165.931 894.061 Q169.566 894.061 171.371 890.519 Q173.2 886.955 173.2 879.848 Q173.2 872.719 171.371 869.177 Q169.566 865.612 165.931 865.612 M165.931 861.909 Q171.742 861.909 174.797 866.515 Q177.876 871.098 177.876 879.848 Q177.876 888.575 174.797 893.181 Q171.742 897.765 165.931 897.765 Q160.121 897.765 157.043 893.181 Q153.987 888.575 153.987 879.848 Q153.987 871.098 157.043 866.515 Q160.121 861.909 165.931 861.909 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M76.8346 582.661 Q73.2236 582.661 71.3949 586.226 Q69.5893 589.768 69.5893 596.897 Q69.5893 604.004 71.3949 607.568 Q73.2236 611.11 76.8346 611.11 Q80.4689 611.11 82.2744 607.568 Q84.1031 604.004 84.1031 596.897 Q84.1031 589.768 82.2744 586.226 Q80.4689 582.661 76.8346 582.661 M76.8346 578.957 Q82.6448 578.957 85.7003 583.564 Q88.779 588.147 88.779 596.897 Q88.779 605.624 85.7003 610.23 Q82.6448 614.814 76.8346 614.814 Q71.0245 614.814 67.9458 610.23 Q64.8903 605.624 64.8903 596.897 Q64.8903 588.147 67.9458 583.564 Q71.0245 578.957 76.8346 578.957 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M93.8484 608.263 L98.7327 608.263 L98.7327 614.142 L93.8484 614.142 L93.8484 608.263 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M113.802 582.661 Q110.191 582.661 108.362 586.226 Q106.557 589.768 106.557 596.897 Q106.557 604.004 108.362 607.568 Q110.191 611.11 113.802 611.11 Q117.436 611.11 119.242 607.568 Q121.071 604.004 121.071 596.897 Q121.071 589.768 119.242 586.226 Q117.436 582.661 113.802 582.661 M113.802 578.957 Q119.612 578.957 122.668 583.564 Q125.746 588.147 125.746 596.897 Q125.746 605.624 122.668 610.23 Q119.612 614.814 113.802 614.814 Q107.992 614.814 104.913 610.23 Q101.858 605.624 101.858 596.897 Q101.858 588.147 104.913 583.564 Q107.992 578.957 113.802 578.957 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M129.635 579.582 L151.857 579.582 L151.857 581.573 L139.311 614.142 L134.427 614.142 L146.232 583.518 L129.635 583.518 L129.635 579.582 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M156.973 579.582 L175.329 579.582 L175.329 583.518 L161.255 583.518 L161.255 591.99 Q162.274 591.643 163.293 591.48 Q164.311 591.295 165.33 591.295 Q171.117 591.295 174.496 594.467 Q177.876 597.638 177.876 603.055 Q177.876 608.633 174.404 611.735 Q170.931 614.814 164.612 614.814 Q162.436 614.814 160.168 614.443 Q157.922 614.073 155.515 613.332 L155.515 608.633 Q157.598 609.767 159.82 610.323 Q162.043 610.879 164.519 610.879 Q168.524 610.879 170.862 608.772 Q173.2 606.666 173.2 603.055 Q173.2 599.443 170.862 597.337 Q168.524 595.23 164.519 595.23 Q162.644 595.23 160.769 595.647 Q158.918 596.064 156.973 596.943 L156.973 579.582 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M76.1634 299.71 Q72.5523 299.71 70.7236 303.275 Q68.918 306.816 68.918 313.946 Q68.918 321.052 70.7236 324.617 Q72.5523 328.159 76.1634 328.159 Q79.7976 328.159 81.6031 324.617 Q83.4318 321.052 83.4318 313.946 Q83.4318 306.816 81.6031 303.275 Q79.7976 299.71 76.1634 299.71 M76.1634 296.006 Q81.9735 296.006 85.029 300.613 Q88.1077 305.196 88.1077 313.946 Q88.1077 322.673 85.029 327.279 Q81.9735 331.863 76.1634 331.863 Q70.3532 331.863 67.2745 327.279 Q64.219 322.673 64.219 313.946 Q64.219 305.196 67.2745 300.613 Q70.3532 296.006 76.1634 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M93.1771 325.312 L98.0614 325.312 L98.0614 331.191 L93.1771 331.191 L93.1771 325.312 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M103.941 327.256 L111.58 327.256 L111.58 300.891 L103.27 302.557 L103.27 298.298 L111.534 296.631 L116.209 296.631 L116.209 327.256 L123.848 327.256 L123.848 331.191 L103.941 331.191 L103.941 327.256 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M138.918 299.71 Q135.307 299.71 133.478 303.275 Q131.672 306.816 131.672 313.946 Q131.672 321.052 133.478 324.617 Q135.307 328.159 138.918 328.159 Q142.552 328.159 144.357 324.617 Q146.186 321.052 146.186 313.946 Q146.186 306.816 144.357 303.275 Q142.552 299.71 138.918 299.71 M138.918 296.006 Q144.728 296.006 147.783 300.613 Q150.862 305.196 150.862 313.946 Q150.862 322.673 147.783 327.279 Q144.728 331.863 138.918 331.863 Q133.107 331.863 130.029 327.279 Q126.973 322.673 126.973 313.946 Q126.973 305.196 130.029 300.613 Q133.107 296.006 138.918 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M165.931 299.71 Q162.32 299.71 160.492 303.275 Q158.686 306.816 158.686 313.946 Q158.686 321.052 160.492 324.617 Q162.32 328.159 165.931 328.159 Q169.566 328.159 171.371 324.617 Q173.2 321.052 173.2 313.946 Q173.2 306.816 171.371 303.275 Q169.566 299.71 165.931 299.71 M165.931 296.006 Q171.742 296.006 174.797 300.613 Q177.876 305.196 177.876 313.946 Q177.876 322.673 174.797 327.279 Q171.742 331.863 165.931 331.863 Q160.121 331.863 157.043 327.279 Q153.987 322.673 153.987 313.946 Q153.987 305.196 157.043 300.613 Q160.121 296.006 165.931 296.006 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip042)\" d=\"\n",
                            "M255.284 617.106 L255.284 1445.72 L325.831 1445.72 L325.831 617.106 L255.284 617.106 L255.284 617.106  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  255.284,617.106 255.284,1445.72 325.831,1445.72 325.831,617.106 255.284,617.106 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M343.468 436.145 L343.468 1445.72 L414.015 1445.72 L414.015 436.145 L343.468 436.145 L343.468 436.145  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  343.468,436.145 343.468,1445.72 414.015,1445.72 414.015,436.145 343.468,436.145 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M431.652 274.932 L431.652 1445.72 L502.199 1445.72 L502.199 274.932 L431.652 274.932 L431.652 274.932  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  431.652,274.932 431.652,1445.72 502.199,1445.72 502.199,274.932 431.652,274.932 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M519.836 153.397 L519.836 1445.72 L590.383 1445.72 L590.383 153.397 L519.836 153.397 L519.836 153.397  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  519.836,153.397 519.836,1445.72 590.383,1445.72 590.383,153.397 519.836,153.397 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M608.02 87.9763 L608.02 1445.72 L678.567 1445.72 L678.567 87.9763 L608.02 87.9763 L608.02 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  608.02,87.9763 608.02,1445.72 678.567,1445.72 678.567,87.9763 608.02,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M696.204 87.9763 L696.204 1445.72 L766.751 1445.72 L766.751 87.9763 L696.204 87.9763 L696.204 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  696.204,87.9763 696.204,1445.72 766.751,1445.72 766.751,87.9763 696.204,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M784.388 153.397 L784.388 1445.72 L854.935 1445.72 L854.935 153.397 L784.388 153.397 L784.388 153.397  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  784.388,153.397 784.388,1445.72 854.935,1445.72 854.935,153.397 784.388,153.397 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M872.572 274.932 L872.572 1445.72 L943.119 1445.72 L943.119 274.932 L872.572 274.932 L872.572 274.932  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  872.572,274.932 872.572,1445.72 943.119,1445.72 943.119,274.932 872.572,274.932 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M960.756 436.145 L960.756 1445.72 L1031.3 1445.72 L1031.3 436.145 L960.756 436.145 L960.756 436.145  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  960.756,436.145 960.756,1445.72 1031.3,1445.72 1031.3,436.145 960.756,436.145 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip042)\" d=\"\n",
                            "M1048.94 617.106 L1048.94 1445.72 L1119.49 1445.72 L1119.49 617.106 L1048.94 617.106 L1048.94 617.106  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip042)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1048.94,617.106 1048.94,1445.72 1119.49,1445.72 1119.49,617.106 1048.94,617.106 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M699.536 216.178 L1140.53 216.178 L1140.53 95.2176 L699.536 95.2176  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  699.536,216.178 1140.53,216.178 1140.53,95.2176 699.536,95.2176 699.536,216.178 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M710.325 179.89 L775.06 179.89 L775.06 131.506 L710.325 131.506 L710.325 179.89  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  710.325,179.89 775.06,179.89 775.06,131.506 710.325,131.506 710.325,179.89 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"M 0 0 M785.849 138.418 L792.817 138.418 L801.636 161.936 L810.502 138.418 L817.469 138.418 L817.469 172.978 L812.909 172.978 L812.909 142.63 L803.997 166.334 L799.298 166.334 L790.386 142.63 L790.386 172.978 L785.849 172.978 L785.849 138.418 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M833.719 159.945 Q828.557 159.945 826.566 161.126 Q824.576 162.306 824.576 165.154 Q824.576 167.422 826.057 168.765 Q827.562 170.084 830.131 170.084 Q833.673 170.084 835.803 167.584 Q837.955 165.061 837.955 160.894 L837.955 159.945 L833.719 159.945 M842.215 158.186 L842.215 172.978 L837.955 172.978 L837.955 169.042 Q836.497 171.403 834.321 172.538 Q832.145 173.649 828.997 173.649 Q825.016 173.649 822.654 171.427 Q820.317 169.181 820.317 165.431 Q820.317 161.056 823.233 158.834 Q826.173 156.612 831.983 156.612 L837.955 156.612 L837.955 156.195 Q837.955 153.255 836.011 151.658 Q834.09 150.038 830.594 150.038 Q828.372 150.038 826.266 150.57 Q824.159 151.103 822.215 152.167 L822.215 148.232 Q824.553 147.33 826.752 146.89 Q828.951 146.427 831.034 146.427 Q836.659 146.427 839.437 149.343 Q842.215 152.26 842.215 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M863.21 147.816 L863.21 151.843 Q861.404 150.917 859.46 150.455 Q857.515 149.992 855.432 149.992 Q852.261 149.992 850.664 150.964 Q849.09 151.936 849.09 153.88 Q849.09 155.362 850.224 156.218 Q851.358 157.052 854.784 157.816 L856.242 158.14 Q860.779 159.112 862.677 160.894 Q864.599 162.654 864.599 165.825 Q864.599 169.436 861.728 171.542 Q858.881 173.649 853.881 173.649 Q851.798 173.649 849.529 173.232 Q847.284 172.839 844.784 172.028 L844.784 167.63 Q847.145 168.857 849.437 169.482 Q851.728 170.084 853.974 170.084 Q856.983 170.084 858.603 169.066 Q860.224 168.024 860.224 166.149 Q860.224 164.413 859.043 163.487 Q857.886 162.561 853.927 161.704 L852.446 161.357 Q848.488 160.524 846.728 158.811 Q844.969 157.075 844.969 154.066 Q844.969 150.408 847.562 148.418 Q850.154 146.427 854.923 146.427 Q857.284 146.427 859.367 146.774 Q861.451 147.121 863.21 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M885.594 147.816 L885.594 151.843 Q883.788 150.917 881.844 150.455 Q879.9 149.992 877.816 149.992 Q874.645 149.992 873.048 150.964 Q871.474 151.936 871.474 153.88 Q871.474 155.362 872.608 156.218 Q873.742 157.052 877.168 157.816 L878.626 158.14 Q883.163 159.112 885.062 160.894 Q886.983 162.654 886.983 165.825 Q886.983 169.436 884.112 171.542 Q881.265 173.649 876.265 173.649 Q874.182 173.649 871.913 173.232 Q869.668 172.839 867.168 172.028 L867.168 167.63 Q869.529 168.857 871.821 169.482 Q874.113 170.084 876.358 170.084 Q879.367 170.084 880.988 169.066 Q882.608 168.024 882.608 166.149 Q882.608 164.413 881.427 163.487 Q880.27 162.561 876.312 161.704 L874.83 161.357 Q870.872 160.524 869.113 158.811 Q867.353 157.075 867.353 154.066 Q867.353 150.408 869.946 148.418 Q872.538 146.427 877.307 146.427 Q879.668 146.427 881.751 146.774 Q883.835 147.121 885.594 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M910.733 139.691 L910.733 147.052 L919.506 147.052 L919.506 150.362 L910.733 150.362 L910.733 164.436 Q910.733 167.607 911.589 168.51 Q912.469 169.413 915.131 169.413 L919.506 169.413 L919.506 172.978 L915.131 172.978 Q910.2 172.978 908.325 171.149 Q906.45 169.297 906.45 164.436 L906.45 150.362 L903.325 150.362 L903.325 147.052 L906.45 147.052 L906.45 139.691 L910.733 139.691 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M938.996 151.033 Q938.279 150.617 937.422 150.431 Q936.589 150.223 935.571 150.223 Q931.959 150.223 930.015 152.584 Q928.094 154.922 928.094 159.32 L928.094 172.978 L923.811 172.978 L923.811 147.052 L928.094 147.052 L928.094 151.08 Q929.436 148.718 931.589 147.584 Q933.742 146.427 936.821 146.427 Q937.26 146.427 937.793 146.496 Q938.325 146.543 938.973 146.658 L938.996 151.033 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M943.024 162.746 L943.024 147.052 L947.283 147.052 L947.283 162.584 Q947.283 166.265 948.719 168.116 Q950.154 169.945 953.024 169.945 Q956.473 169.945 958.464 167.746 Q960.478 165.547 960.478 161.751 L960.478 147.052 L964.737 147.052 L964.737 172.978 L960.478 172.978 L960.478 168.996 Q958.927 171.357 956.867 172.515 Q954.83 173.649 952.121 173.649 Q947.654 173.649 945.339 170.871 Q943.024 168.093 943.024 162.746 M953.742 146.427 L953.742 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M991.38 158.95 L991.38 161.033 L971.797 161.033 Q972.075 165.431 974.436 167.746 Q976.82 170.038 981.056 170.038 Q983.51 170.038 985.802 169.436 Q988.117 168.834 990.385 167.63 L990.385 171.658 Q988.093 172.63 985.686 173.14 Q983.279 173.649 980.802 173.649 Q974.598 173.649 970.964 170.038 Q967.353 166.427 967.353 160.269 Q967.353 153.904 970.779 150.177 Q974.228 146.427 980.061 146.427 Q985.292 146.427 988.325 149.806 Q991.38 153.163 991.38 158.95 M987.121 157.7 Q987.075 154.205 985.154 152.121 Q983.255 150.038 980.107 150.038 Q976.543 150.038 974.39 152.052 Q972.26 154.066 971.936 157.723 L987.121 157.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1007.86 147.052 L1012.38 147.052 L1020.48 168.811 L1028.58 147.052 L1033.09 147.052 L1023.37 172.978 L1017.58 172.978 L1007.86 147.052 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1049.34 159.945 Q1044.18 159.945 1042.19 161.126 Q1040.2 162.306 1040.2 165.154 Q1040.2 167.422 1041.68 168.765 Q1043.19 170.084 1045.76 170.084 Q1049.3 170.084 1051.43 167.584 Q1053.58 165.061 1053.58 160.894 L1053.58 159.945 L1049.34 159.945 M1057.84 158.186 L1057.84 172.978 L1053.58 172.978 L1053.58 169.042 Q1052.12 171.403 1049.94 172.538 Q1047.77 173.649 1044.62 173.649 Q1040.64 173.649 1038.28 171.427 Q1035.94 169.181 1035.94 165.431 Q1035.94 161.056 1038.86 158.834 Q1041.8 156.612 1047.61 156.612 L1053.58 156.612 L1053.58 156.195 Q1053.58 153.255 1051.63 151.658 Q1049.71 150.038 1046.22 150.038 Q1044 150.038 1041.89 150.57 Q1039.78 151.103 1037.84 152.167 L1037.84 148.232 Q1040.18 147.33 1042.38 146.89 Q1044.57 146.427 1046.66 146.427 Q1052.28 146.427 1055.06 149.343 Q1057.84 152.26 1057.84 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1062.31 136.959 L1066.57 136.959 L1066.57 172.978 L1062.31 172.978 L1062.31 136.959 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1070.59 162.746 L1070.59 147.052 L1074.85 147.052 L1074.85 162.584 Q1074.85 166.265 1076.29 168.116 Q1077.72 169.945 1080.59 169.945 Q1084.04 169.945 1086.03 167.746 Q1088.05 165.547 1088.05 161.751 L1088.05 147.052 L1092.31 147.052 L1092.31 172.978 L1088.05 172.978 L1088.05 168.996 Q1086.5 171.357 1084.44 172.515 Q1082.4 173.649 1079.69 173.649 Q1075.22 173.649 1072.91 170.871 Q1070.59 168.093 1070.59 162.746 M1081.31 146.427 L1081.31 146.427 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1118.95 158.95 L1118.95 161.033 L1099.37 161.033 Q1099.64 165.431 1102 167.746 Q1104.39 170.038 1108.63 170.038 Q1111.08 170.038 1113.37 169.436 Q1115.69 168.834 1117.95 167.63 L1117.95 171.658 Q1115.66 172.63 1113.25 173.14 Q1110.85 173.649 1108.37 173.649 Q1102.17 173.649 1098.53 170.038 Q1094.92 166.427 1094.92 160.269 Q1094.92 153.904 1098.35 150.177 Q1101.8 146.427 1107.63 146.427 Q1112.86 146.427 1115.89 149.806 Q1118.95 153.163 1118.95 158.95 M1114.69 157.7 Q1114.64 154.205 1112.72 152.121 Q1110.82 150.038 1107.68 150.038 Q1104.11 150.038 1101.96 152.052 Q1099.83 154.066 1099.5 157.723 L1114.69 157.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"\n",
                            "M1381.74 1486.45 L2352.76 1486.45 L2352.76 47.2441 L1381.74 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip043\">\n",
                            "    <rect x=\"1381\" y=\"47\" width=\"972\" height=\"1440\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1435.14,1486.45 1435.14,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1651.2,1486.45 1651.2,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1867.25,1486.45 1867.25,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2083.3,1486.45 2083.3,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2299.35,1486.45 2299.35,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,1445.72 2352.76,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,1240 2352.76,1240 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,1034.28 2352.76,1034.28 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,828.561 2352.76,828.561 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,622.843 2352.76,622.843 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,417.125 2352.76,417.125 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1381.74,211.407 2352.76,211.407 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,1486.45 2352.76,1486.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,1486.45 1381.74,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1435.14,1486.45 1435.14,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1651.2,1486.45 1651.2,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1867.25,1486.45 1867.25,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2083.3,1486.45 2083.3,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2299.35,1486.45 2299.35,1469.18 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,1445.72 1393.39,1445.72 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,1240 1393.39,1240 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,1034.28 1393.39,1034.28 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,828.561 1393.39,828.561 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,622.843 1393.39,622.843 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,417.125 1393.39,417.125 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1381.74,211.407 1393.39,211.407 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"M 0 0 M1407.04 1535.98 L1414.68 1535.98 L1414.68 1509.62 L1406.37 1511.29 L1406.37 1507.03 L1414.64 1505.36 L1419.31 1505.36 L1419.31 1535.98 L1426.95 1535.98 L1426.95 1539.92 L1407.04 1539.92 L1407.04 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1432.02 1534.04 L1436.9 1534.04 L1436.9 1539.92 L1432.02 1539.92 L1432.02 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1451.97 1508.44 Q1448.36 1508.44 1446.53 1512 Q1444.73 1515.55 1444.73 1522.67 Q1444.73 1529.78 1446.53 1533.35 Q1448.36 1536.89 1451.97 1536.89 Q1455.61 1536.89 1457.41 1533.35 Q1459.24 1529.78 1459.24 1522.67 Q1459.24 1515.55 1457.41 1512 Q1455.61 1508.44 1451.97 1508.44 M1451.97 1504.73 Q1457.78 1504.73 1460.84 1509.34 Q1463.92 1513.92 1463.92 1522.67 Q1463.92 1531.4 1460.84 1536.01 Q1457.78 1540.59 1451.97 1540.59 Q1446.16 1540.59 1443.08 1536.01 Q1440.03 1531.4 1440.03 1522.67 Q1440.03 1513.92 1443.08 1509.34 Q1446.16 1504.73 1451.97 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1623.59 1535.98 L1631.23 1535.98 L1631.23 1509.62 L1622.92 1511.29 L1622.92 1507.03 L1631.18 1505.36 L1635.86 1505.36 L1635.86 1535.98 L1643.5 1535.98 L1643.5 1539.92 L1623.59 1539.92 L1623.59 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1648.57 1534.04 L1653.45 1534.04 L1653.45 1539.92 L1648.57 1539.92 L1648.57 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1658.57 1505.36 L1676.92 1505.36 L1676.92 1509.3 L1662.85 1509.3 L1662.85 1517.77 Q1663.87 1517.42 1664.89 1517.26 Q1665.91 1517.07 1666.92 1517.07 Q1672.71 1517.07 1676.09 1520.24 Q1679.47 1523.42 1679.47 1528.83 Q1679.47 1534.41 1676 1537.51 Q1672.53 1540.59 1666.21 1540.59 Q1664.03 1540.59 1661.76 1540.22 Q1659.52 1539.85 1657.11 1539.11 L1657.11 1534.41 Q1659.19 1535.54 1661.42 1536.1 Q1663.64 1536.66 1666.11 1536.66 Q1670.12 1536.66 1672.46 1534.55 Q1674.8 1532.44 1674.8 1528.83 Q1674.8 1525.22 1672.46 1523.11 Q1670.12 1521.01 1666.11 1521.01 Q1664.24 1521.01 1662.36 1521.42 Q1660.51 1521.84 1658.57 1522.72 L1658.57 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1843.42 1535.98 L1859.73 1535.98 L1859.73 1539.92 L1837.79 1539.92 L1837.79 1535.98 Q1840.45 1533.23 1845.04 1528.6 Q1849.64 1523.95 1850.82 1522.61 Q1853.07 1520.08 1853.95 1518.35 Q1854.85 1516.59 1854.85 1514.9 Q1854.85 1512.14 1852.91 1510.41 Q1850.98 1508.67 1847.88 1508.67 Q1845.68 1508.67 1843.23 1509.43 Q1840.8 1510.2 1838.02 1511.75 L1838.02 1507.03 Q1840.85 1505.89 1843.3 1505.31 Q1845.75 1504.73 1847.79 1504.73 Q1853.16 1504.73 1856.36 1507.42 Q1859.55 1510.11 1859.55 1514.6 Q1859.55 1516.73 1858.74 1518.65 Q1857.95 1520.54 1855.85 1523.14 Q1855.27 1523.81 1852.17 1527.03 Q1849.06 1530.22 1843.42 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1864.8 1534.04 L1869.69 1534.04 L1869.69 1539.92 L1864.8 1539.92 L1864.8 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1884.76 1508.44 Q1881.15 1508.44 1879.32 1512 Q1877.51 1515.55 1877.51 1522.67 Q1877.51 1529.78 1879.32 1533.35 Q1881.15 1536.89 1884.76 1536.89 Q1888.39 1536.89 1890.2 1533.35 Q1892.03 1529.78 1892.03 1522.67 Q1892.03 1515.55 1890.2 1512 Q1888.39 1508.44 1884.76 1508.44 M1884.76 1504.73 Q1890.57 1504.73 1893.62 1509.34 Q1896.7 1513.92 1896.7 1522.67 Q1896.7 1531.4 1893.62 1536.01 Q1890.57 1540.59 1884.76 1540.59 Q1878.95 1540.59 1875.87 1536.01 Q1872.81 1531.4 1872.81 1522.67 Q1872.81 1513.92 1875.87 1509.34 Q1878.95 1504.73 1884.76 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2059.96 1535.98 L2076.28 1535.98 L2076.28 1539.92 L2054.34 1539.92 L2054.34 1535.98 Q2057 1533.23 2061.58 1528.6 Q2066.19 1523.95 2067.37 1522.61 Q2069.62 1520.08 2070.5 1518.35 Q2071.4 1516.59 2071.4 1514.9 Q2071.4 1512.14 2069.45 1510.41 Q2067.53 1508.67 2064.43 1508.67 Q2062.23 1508.67 2059.78 1509.43 Q2057.35 1510.2 2054.57 1511.75 L2054.57 1507.03 Q2057.39 1505.89 2059.85 1505.31 Q2062.3 1504.73 2064.34 1504.73 Q2069.71 1504.73 2072.9 1507.42 Q2076.1 1510.11 2076.1 1514.6 Q2076.1 1516.73 2075.29 1518.65 Q2074.5 1520.54 2072.39 1523.14 Q2071.82 1523.81 2068.71 1527.03 Q2065.61 1530.22 2059.96 1535.98 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2081.35 1534.04 L2086.24 1534.04 L2086.24 1539.92 L2081.35 1539.92 L2081.35 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2091.35 1505.36 L2109.71 1505.36 L2109.71 1509.3 L2095.64 1509.3 L2095.64 1517.77 Q2096.65 1517.42 2097.67 1517.26 Q2098.69 1517.07 2099.71 1517.07 Q2105.5 1517.07 2108.88 1520.24 Q2112.26 1523.42 2112.26 1528.83 Q2112.26 1534.41 2108.78 1537.51 Q2105.31 1540.59 2098.99 1540.59 Q2096.82 1540.59 2094.55 1540.22 Q2092.3 1539.85 2089.89 1539.11 L2089.89 1534.41 Q2091.98 1535.54 2094.2 1536.1 Q2096.42 1536.66 2098.9 1536.66 Q2102.9 1536.66 2105.24 1534.55 Q2107.58 1532.44 2107.58 1528.83 Q2107.58 1525.22 2105.24 1523.11 Q2102.9 1521.01 2098.9 1521.01 Q2097.02 1521.01 2095.15 1521.42 Q2093.3 1521.84 2091.35 1522.72 L2091.35 1505.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2285.11 1521.29 Q2288.47 1522 2290.34 1524.27 Q2292.24 1526.54 2292.24 1529.87 Q2292.24 1534.99 2288.72 1537.79 Q2285.2 1540.59 2278.72 1540.59 Q2276.55 1540.59 2274.23 1540.15 Q2271.94 1539.73 2269.49 1538.88 L2269.49 1534.36 Q2271.43 1535.5 2273.75 1536.08 Q2276.06 1536.66 2278.58 1536.66 Q2282.98 1536.66 2285.27 1534.92 Q2287.59 1533.18 2287.59 1529.87 Q2287.59 1526.82 2285.44 1525.11 Q2283.31 1523.37 2279.49 1523.37 L2275.46 1523.37 L2275.46 1519.53 L2279.67 1519.53 Q2283.12 1519.53 2284.95 1518.16 Q2286.78 1516.77 2286.78 1514.18 Q2286.78 1511.52 2284.88 1510.11 Q2283.01 1508.67 2279.49 1508.67 Q2277.57 1508.67 2275.37 1509.09 Q2273.17 1509.5 2270.53 1510.38 L2270.53 1506.22 Q2273.19 1505.48 2275.51 1505.11 Q2277.84 1504.73 2279.9 1504.73 Q2285.23 1504.73 2288.33 1507.17 Q2291.43 1509.57 2291.43 1513.69 Q2291.43 1516.56 2289.79 1518.55 Q2288.14 1520.52 2285.11 1521.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2297.31 1534.04 L2302.2 1534.04 L2302.2 1539.92 L2297.31 1539.92 L2297.31 1534.04 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2317.26 1508.44 Q2313.65 1508.44 2311.82 1512 Q2310.02 1515.55 2310.02 1522.67 Q2310.02 1529.78 2311.82 1533.35 Q2313.65 1536.89 2317.26 1536.89 Q2320.9 1536.89 2322.7 1533.35 Q2324.53 1529.78 2324.53 1522.67 Q2324.53 1515.55 2322.7 1512 Q2320.9 1508.44 2317.26 1508.44 M2317.26 1504.73 Q2323.07 1504.73 2326.13 1509.34 Q2329.21 1513.92 2329.21 1522.67 Q2329.21 1531.4 2326.13 1536.01 Q2323.07 1540.59 2317.26 1540.59 Q2311.45 1540.59 2308.38 1536.01 Q2305.32 1531.4 2305.32 1522.67 Q2305.32 1513.92 2308.38 1509.34 Q2311.45 1504.73 2317.26 1504.73 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 1431.51 Q1342.18 1431.51 1340.35 1435.08 Q1338.55 1438.62 1338.55 1445.75 Q1338.55 1452.86 1340.35 1456.42 Q1342.18 1459.96 1345.79 1459.96 Q1349.43 1459.96 1351.23 1456.42 Q1353.06 1452.86 1353.06 1445.75 Q1353.06 1438.62 1351.23 1435.08 Q1349.43 1431.51 1345.79 1431.51 M1345.79 1427.81 Q1351.6 1427.81 1354.66 1432.42 Q1357.74 1437 1357.74 1445.75 Q1357.74 1454.48 1354.66 1459.08 Q1351.6 1463.67 1345.79 1463.67 Q1339.98 1463.67 1336.9 1459.08 Q1333.85 1454.48 1333.85 1445.75 Q1333.85 1437 1336.9 1432.42 Q1339.98 1427.81 1345.79 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1314.4 1253.34 L1330.72 1253.34 L1330.72 1257.28 L1308.78 1257.28 L1308.78 1253.34 Q1311.44 1250.59 1316.02 1245.96 Q1320.63 1241.31 1321.81 1239.96 Q1324.06 1237.44 1324.94 1235.7 Q1325.84 1233.94 1325.84 1232.25 Q1325.84 1229.5 1323.89 1227.76 Q1321.97 1226.03 1318.87 1226.03 Q1316.67 1226.03 1314.22 1226.79 Q1311.79 1227.56 1309.01 1229.11 L1309.01 1224.38 Q1311.83 1223.25 1314.29 1222.67 Q1316.74 1222.09 1318.78 1222.09 Q1324.15 1222.09 1327.34 1224.78 Q1330.54 1227.46 1330.54 1231.95 Q1330.54 1234.08 1329.73 1236 Q1328.94 1237.9 1326.83 1240.5 Q1326.26 1241.17 1323.15 1244.38 Q1320.05 1247.58 1314.4 1253.34 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 1225.8 Q1342.18 1225.8 1340.35 1229.36 Q1338.55 1232.9 1338.55 1240.03 Q1338.55 1247.14 1340.35 1250.7 Q1342.18 1254.25 1345.79 1254.25 Q1349.43 1254.25 1351.23 1250.7 Q1353.06 1247.14 1353.06 1240.03 Q1353.06 1232.9 1351.23 1229.36 Q1349.43 1225.8 1345.79 1225.8 M1345.79 1222.09 Q1351.6 1222.09 1354.66 1226.7 Q1357.74 1231.28 1357.74 1240.03 Q1357.74 1248.76 1354.66 1253.37 Q1351.6 1257.95 1345.79 1257.95 Q1339.98 1257.95 1336.9 1253.37 Q1333.85 1248.76 1333.85 1240.03 Q1333.85 1231.28 1336.9 1226.7 Q1339.98 1222.09 1345.79 1222.09 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1321.14 1021.07 L1309.33 1039.52 L1321.14 1039.52 L1321.14 1021.07 M1319.91 1017 L1325.79 1017 L1325.79 1039.52 L1330.72 1039.52 L1330.72 1043.41 L1325.79 1043.41 L1325.79 1051.56 L1321.14 1051.56 L1321.14 1043.41 L1305.54 1043.41 L1305.54 1038.9 L1319.91 1017 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 1020.08 Q1342.18 1020.08 1340.35 1023.64 Q1338.55 1027.18 1338.55 1034.31 Q1338.55 1041.42 1340.35 1044.99 Q1342.18 1048.53 1345.79 1048.53 Q1349.43 1048.53 1351.23 1044.99 Q1353.06 1041.42 1353.06 1034.31 Q1353.06 1027.18 1351.23 1023.64 Q1349.43 1020.08 1345.79 1020.08 M1345.79 1016.37 Q1351.6 1016.37 1354.66 1020.98 Q1357.74 1025.56 1357.74 1034.31 Q1357.74 1043.04 1354.66 1047.65 Q1351.6 1052.23 1345.79 1052.23 Q1339.98 1052.23 1336.9 1047.65 Q1333.85 1043.04 1333.85 1034.31 Q1333.85 1025.56 1336.9 1020.98 Q1339.98 1016.37 1345.79 1016.37 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1319.2 826.698 Q1316.05 826.698 1314.2 828.851 Q1312.37 831.004 1312.37 834.754 Q1312.37 838.48 1314.2 840.656 Q1316.05 842.809 1319.2 842.809 Q1322.34 842.809 1324.17 840.656 Q1326.02 838.48 1326.02 834.754 Q1326.02 831.004 1324.17 828.851 Q1322.34 826.698 1319.2 826.698 M1328.48 812.045 L1328.48 816.305 Q1326.72 815.471 1324.91 815.031 Q1323.13 814.592 1321.37 814.592 Q1316.74 814.592 1314.29 817.717 Q1311.86 820.842 1311.51 827.161 Q1312.88 825.147 1314.94 824.082 Q1317 822.994 1319.47 822.994 Q1324.68 822.994 1327.69 826.166 Q1330.72 829.314 1330.72 834.754 Q1330.72 840.078 1327.58 843.295 Q1324.43 846.513 1319.2 846.513 Q1313.2 846.513 1310.03 841.929 Q1306.86 837.323 1306.86 828.596 Q1306.86 820.402 1310.75 815.541 Q1314.64 810.656 1321.19 810.656 Q1322.95 810.656 1324.73 811.004 Q1326.53 811.351 1328.48 812.045 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 814.36 Q1342.18 814.36 1340.35 817.925 Q1338.55 821.467 1338.55 828.596 Q1338.55 835.703 1340.35 839.267 Q1342.18 842.809 1345.79 842.809 Q1349.43 842.809 1351.23 839.267 Q1353.06 835.703 1353.06 828.596 Q1353.06 821.467 1351.23 817.925 Q1349.43 814.36 1345.79 814.36 M1345.79 810.656 Q1351.6 810.656 1354.66 815.263 Q1357.74 819.846 1357.74 828.596 Q1357.74 837.323 1354.66 841.929 Q1351.6 846.513 1345.79 846.513 Q1339.98 846.513 1336.9 841.929 Q1333.85 837.323 1333.85 828.596 Q1333.85 819.846 1336.9 815.263 Q1339.98 810.656 1345.79 810.656 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1318.87 623.711 Q1315.54 623.711 1313.62 625.494 Q1311.72 627.276 1311.72 630.401 Q1311.72 633.526 1313.62 635.309 Q1315.54 637.091 1318.87 637.091 Q1322.2 637.091 1324.13 635.309 Q1326.05 633.503 1326.05 630.401 Q1326.05 627.276 1324.13 625.494 Q1322.23 623.711 1318.87 623.711 M1314.2 621.721 Q1311.19 620.98 1309.5 618.92 Q1307.83 616.86 1307.83 613.897 Q1307.83 609.753 1310.77 607.346 Q1313.73 604.938 1318.87 604.938 Q1324.03 604.938 1326.97 607.346 Q1329.91 609.753 1329.91 613.897 Q1329.91 616.86 1328.22 618.92 Q1326.56 620.98 1323.57 621.721 Q1326.95 622.508 1328.83 624.799 Q1330.72 627.091 1330.72 630.401 Q1330.72 635.424 1327.64 638.109 Q1324.59 640.795 1318.87 640.795 Q1313.15 640.795 1310.08 638.109 Q1307.02 635.424 1307.02 630.401 Q1307.02 627.091 1308.92 624.799 Q1310.82 622.508 1314.2 621.721 M1312.48 614.336 Q1312.48 617.022 1314.15 618.526 Q1315.84 620.031 1318.87 620.031 Q1321.88 620.031 1323.57 618.526 Q1325.28 617.022 1325.28 614.336 Q1325.28 611.651 1323.57 610.147 Q1321.88 608.642 1318.87 608.642 Q1315.84 608.642 1314.15 610.147 Q1312.48 611.651 1312.48 614.336 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 608.642 Q1342.18 608.642 1340.35 612.207 Q1338.55 615.748 1338.55 622.878 Q1338.55 629.984 1340.35 633.549 Q1342.18 637.091 1345.79 637.091 Q1349.43 637.091 1351.23 633.549 Q1353.06 629.984 1353.06 622.878 Q1353.06 615.748 1351.23 612.207 Q1349.43 608.642 1345.79 608.642 M1345.79 604.938 Q1351.6 604.938 1354.66 609.545 Q1357.74 614.128 1357.74 622.878 Q1357.74 631.605 1354.66 636.211 Q1351.6 640.795 1345.79 640.795 Q1339.98 640.795 1336.9 636.211 Q1333.85 631.605 1333.85 622.878 Q1333.85 614.128 1336.9 609.545 Q1339.98 604.938 1345.79 604.938 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1283.8 430.47 L1291.44 430.47 L1291.44 404.104 L1283.13 405.771 L1283.13 401.512 L1291.39 399.845 L1296.07 399.845 L1296.07 430.47 L1303.71 430.47 L1303.71 434.405 L1283.8 434.405 L1283.8 430.47 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1318.78 402.924 Q1315.17 402.924 1313.34 406.489 Q1311.53 410.03 1311.53 417.16 Q1311.53 424.266 1313.34 427.831 Q1315.17 431.373 1318.78 431.373 Q1322.41 431.373 1324.22 427.831 Q1326.05 424.266 1326.05 417.16 Q1326.05 410.03 1324.22 406.489 Q1322.41 402.924 1318.78 402.924 M1318.78 399.22 Q1324.59 399.22 1327.64 403.827 Q1330.72 408.41 1330.72 417.16 Q1330.72 425.887 1327.64 430.493 Q1324.59 435.077 1318.78 435.077 Q1312.97 435.077 1309.89 430.493 Q1306.83 425.887 1306.83 417.16 Q1306.83 408.41 1309.89 403.827 Q1312.97 399.22 1318.78 399.22 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 402.924 Q1342.18 402.924 1340.35 406.489 Q1338.55 410.03 1338.55 417.16 Q1338.55 424.266 1340.35 427.831 Q1342.18 431.373 1345.79 431.373 Q1349.43 431.373 1351.23 427.831 Q1353.06 424.266 1353.06 417.16 Q1353.06 410.03 1351.23 406.489 Q1349.43 402.924 1345.79 402.924 M1345.79 399.22 Q1351.6 399.22 1354.66 403.827 Q1357.74 408.41 1357.74 417.16 Q1357.74 425.887 1354.66 430.493 Q1351.6 435.077 1345.79 435.077 Q1339.98 435.077 1336.9 430.493 Q1333.85 425.887 1333.85 417.16 Q1333.85 408.41 1336.9 403.827 Q1339.98 399.22 1345.79 399.22 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1285.4 224.752 L1293.04 224.752 L1293.04 198.386 L1284.73 200.053 L1284.73 195.794 L1292.99 194.127 L1297.67 194.127 L1297.67 224.752 L1305.31 224.752 L1305.31 228.687 L1285.4 228.687 L1285.4 224.752 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1314.4 224.752 L1330.72 224.752 L1330.72 228.687 L1308.78 228.687 L1308.78 224.752 Q1311.44 221.997 1316.02 217.368 Q1320.63 212.715 1321.81 211.372 Q1324.06 208.849 1324.94 207.113 Q1325.84 205.354 1325.84 203.664 Q1325.84 200.91 1323.89 199.173 Q1321.97 197.437 1318.87 197.437 Q1316.67 197.437 1314.22 198.201 Q1311.79 198.965 1309.01 200.516 L1309.01 195.794 Q1311.83 194.66 1314.29 194.081 Q1316.74 193.502 1318.78 193.502 Q1324.15 193.502 1327.34 196.187 Q1330.54 198.872 1330.54 203.363 Q1330.54 205.493 1329.73 207.414 Q1328.94 209.312 1326.83 211.905 Q1326.26 212.576 1323.15 215.794 Q1320.05 218.988 1314.4 224.752 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M1345.79 197.206 Q1342.18 197.206 1340.35 200.771 Q1338.55 204.312 1338.55 211.442 Q1338.55 218.548 1340.35 222.113 Q1342.18 225.655 1345.79 225.655 Q1349.43 225.655 1351.23 222.113 Q1353.06 218.548 1353.06 211.442 Q1353.06 204.312 1351.23 200.771 Q1349.43 197.206 1345.79 197.206 M1345.79 193.502 Q1351.6 193.502 1354.66 198.109 Q1357.74 202.692 1357.74 211.442 Q1357.74 220.169 1354.66 224.775 Q1351.6 229.358 1345.79 229.358 Q1339.98 229.358 1336.9 224.775 Q1333.85 220.169 1333.85 211.442 Q1333.85 202.692 1336.9 198.109 Q1339.98 193.502 1345.79 193.502 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1435.14 746.274 L1435.14 1445.72 L1521.57 1445.72 L1521.57 746.274 L1435.14 746.274 L1435.14 746.274  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1435.14,746.274 1435.14,1445.72 1521.57,1445.72 1521.57,746.274 1435.14,746.274 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1521.57 478.841 L1521.57 1445.72 L1607.99 1445.72 L1607.99 478.841 L1521.57 478.841 L1521.57 478.841  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1521.57,478.841 1521.57,1445.72 1607.99,1445.72 1607.99,478.841 1521.57,478.841 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1607.99 283.408 L1607.99 1445.72 L1694.41 1445.72 L1694.41 283.408 L1607.99 283.408 L1607.99 283.408  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1607.99,283.408 1607.99,1445.72 1694.41,1445.72 1694.41,283.408 1607.99,283.408 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1694.41 468.555 L1694.41 1445.72 L1780.83 1445.72 L1780.83 468.555 L1694.41 468.555 L1694.41 468.555  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1694.41,468.555 1694.41,1445.72 1780.83,1445.72 1780.83,468.555 1694.41,468.555 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1780.83 87.9763 L1780.83 1445.72 L1867.25 1445.72 L1867.25 87.9763 L1780.83 87.9763 L1780.83 87.9763  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1780.83,87.9763 1780.83,1445.72 1867.25,1445.72 1867.25,87.9763 1780.83,87.9763 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1867.25 118.834 L1867.25 1445.72 L1953.67 1445.72 L1953.67 118.834 L1867.25 118.834 L1867.25 118.834  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1867.25,118.834 1867.25,1445.72 1953.67,1445.72 1953.67,118.834 1867.25,118.834 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M1953.67 365.696 L1953.67 1445.72 L2040.09 1445.72 L2040.09 365.696 L1953.67 365.696 L1953.67 365.696  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1953.67,365.696 1953.67,1445.72 2040.09,1445.72 2040.09,365.696 1953.67,365.696 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M2040.09 314.266 L2040.09 1445.72 L2126.51 1445.72 L2126.51 314.266 L2040.09 314.266 L2040.09 314.266  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2040.09,314.266 2040.09,1445.72 2126.51,1445.72 2126.51,314.266 2040.09,314.266 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M2126.51 509.698 L2126.51 1445.72 L2212.93 1445.72 L2212.93 509.698 L2126.51 509.698 L2126.51 509.698  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2126.51,509.698 2126.51,1445.72 2212.93,1445.72 2212.93,509.698 2126.51,509.698 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip043)\" d=\"\n",
                            "M2212.93 797.704 L2212.93 1445.72 L2299.35 1445.72 L2299.35 797.704 L2212.93 797.704 L2212.93 797.704  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip043)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2212.93,797.704 2212.93,1445.72 2299.35,1445.72 2299.35,797.704 2212.93,797.704 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M1982.66 216.178 L2320.39 216.178 L2320.39 95.2176 L1982.66 95.2176  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1982.66,216.178 2320.39,216.178 2320.39,95.2176 1982.66,95.2176 1982.66,216.178 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"\n",
                            "M1993.45 179.89 L2058.18 179.89 L2058.18 131.506 L1993.45 131.506 L1993.45 179.89  Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip040)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1993.45,179.89 2058.18,179.89 2058.18,131.506 1993.45,131.506 1993.45,179.89 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip040)\" d=\"M 0 0 M2068.97 138.418 L2075.94 138.418 L2084.76 161.936 L2093.63 138.418 L2100.59 138.418 L2100.59 172.978 L2096.03 172.978 L2096.03 142.63 L2087.12 166.334 L2082.42 166.334 L2073.51 142.63 L2073.51 172.978 L2068.97 172.978 L2068.97 138.418 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2116.84 159.945 Q2111.68 159.945 2109.69 161.126 Q2107.7 162.306 2107.7 165.154 Q2107.7 167.422 2109.18 168.765 Q2110.69 170.084 2113.26 170.084 Q2116.8 170.084 2118.93 167.584 Q2121.08 165.061 2121.08 160.894 L2121.08 159.945 L2116.84 159.945 M2125.34 158.186 L2125.34 172.978 L2121.08 172.978 L2121.08 169.042 Q2119.62 171.403 2117.45 172.538 Q2115.27 173.649 2112.12 173.649 Q2108.14 173.649 2105.78 171.427 Q2103.44 169.181 2103.44 165.431 Q2103.44 161.056 2106.36 158.834 Q2109.3 156.612 2115.11 156.612 L2121.08 156.612 L2121.08 156.195 Q2121.08 153.255 2119.14 151.658 Q2117.21 150.038 2113.72 150.038 Q2111.5 150.038 2109.39 150.57 Q2107.28 151.103 2105.34 152.167 L2105.34 148.232 Q2107.68 147.33 2109.88 146.89 Q2112.08 146.427 2114.16 146.427 Q2119.78 146.427 2122.56 149.343 Q2125.34 152.26 2125.34 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2146.33 147.816 L2146.33 151.843 Q2144.53 150.917 2142.58 150.455 Q2140.64 149.992 2138.56 149.992 Q2135.39 149.992 2133.79 150.964 Q2132.21 151.936 2132.21 153.88 Q2132.21 155.362 2133.35 156.218 Q2134.48 157.052 2137.91 157.816 L2139.37 158.14 Q2143.9 159.112 2145.8 160.894 Q2147.72 162.654 2147.72 165.825 Q2147.72 169.436 2144.85 171.542 Q2142.01 173.649 2137.01 173.649 Q2134.92 173.649 2132.65 173.232 Q2130.41 172.839 2127.91 172.028 L2127.91 167.63 Q2130.27 168.857 2132.56 169.482 Q2134.85 170.084 2137.1 170.084 Q2140.11 170.084 2141.73 169.066 Q2143.35 168.024 2143.35 166.149 Q2143.35 164.413 2142.17 163.487 Q2141.01 162.561 2137.05 161.704 L2135.57 161.357 Q2131.61 160.524 2129.85 158.811 Q2128.09 157.075 2128.09 154.066 Q2128.09 150.408 2130.69 148.418 Q2133.28 146.427 2138.05 146.427 Q2140.41 146.427 2142.49 146.774 Q2144.58 147.121 2146.33 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2168.72 147.816 L2168.72 151.843 Q2166.91 150.917 2164.97 150.455 Q2163.02 149.992 2160.94 149.992 Q2157.77 149.992 2156.17 150.964 Q2154.6 151.936 2154.6 153.88 Q2154.6 155.362 2155.73 156.218 Q2156.87 157.052 2160.29 157.816 L2161.75 158.14 Q2166.29 159.112 2168.19 160.894 Q2170.11 162.654 2170.11 165.825 Q2170.11 169.436 2167.24 171.542 Q2164.39 173.649 2159.39 173.649 Q2157.31 173.649 2155.04 173.232 Q2152.79 172.839 2150.29 172.028 L2150.29 167.63 Q2152.65 168.857 2154.95 169.482 Q2157.24 170.084 2159.48 170.084 Q2162.49 170.084 2164.11 169.066 Q2165.73 168.024 2165.73 166.149 Q2165.73 164.413 2164.55 163.487 Q2163.39 162.561 2159.44 161.704 L2157.95 161.357 Q2154 160.524 2152.24 158.811 Q2150.48 157.075 2150.48 154.066 Q2150.48 150.408 2153.07 148.418 Q2155.66 146.427 2160.43 146.427 Q2162.79 146.427 2164.88 146.774 Q2166.96 147.121 2168.72 147.816 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2193.76 169.089 L2193.76 182.839 L2189.48 182.839 L2189.48 147.052 L2193.76 147.052 L2193.76 150.987 Q2195.11 148.672 2197.14 147.561 Q2199.2 146.427 2202.05 146.427 Q2206.77 146.427 2209.71 150.177 Q2212.68 153.927 2212.68 160.038 Q2212.68 166.149 2209.71 169.899 Q2206.77 173.649 2202.05 173.649 Q2199.2 173.649 2197.14 172.538 Q2195.11 171.403 2193.76 169.089 M2208.26 160.038 Q2208.26 155.339 2206.31 152.677 Q2204.39 149.992 2201.01 149.992 Q2197.63 149.992 2195.69 152.677 Q2193.76 155.339 2193.76 160.038 Q2193.76 164.737 2195.69 167.422 Q2197.63 170.084 2201.01 170.084 Q2204.39 170.084 2206.31 167.422 Q2208.26 164.737 2208.26 160.038 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2228.93 159.945 Q2223.76 159.945 2221.77 161.126 Q2219.78 162.306 2219.78 165.154 Q2219.78 167.422 2221.26 168.765 Q2222.77 170.084 2225.34 170.084 Q2228.88 170.084 2231.01 167.584 Q2233.16 165.061 2233.16 160.894 L2233.16 159.945 L2228.93 159.945 M2237.42 158.186 L2237.42 172.978 L2233.16 172.978 L2233.16 169.042 Q2231.7 171.403 2229.53 172.538 Q2227.35 173.649 2224.2 173.649 Q2220.22 173.649 2217.86 171.427 Q2215.52 169.181 2215.52 165.431 Q2215.52 161.056 2218.44 158.834 Q2221.38 156.612 2227.19 156.612 L2233.16 156.612 L2233.16 156.195 Q2233.16 153.255 2231.22 151.658 Q2229.3 150.038 2225.8 150.038 Q2223.58 150.038 2221.47 150.57 Q2219.37 151.103 2217.42 152.167 L2217.42 148.232 Q2219.76 147.33 2221.96 146.89 Q2224.16 146.427 2226.24 146.427 Q2231.87 146.427 2234.64 149.343 Q2237.42 152.26 2237.42 158.186 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2263.44 157.329 L2263.44 172.978 L2259.18 172.978 L2259.18 157.468 Q2259.18 153.788 2257.75 151.959 Q2256.31 150.13 2253.44 150.13 Q2249.99 150.13 2248 152.33 Q2246.01 154.529 2246.01 158.325 L2246.01 172.978 L2241.73 172.978 L2241.73 147.052 L2246.01 147.052 L2246.01 151.08 Q2247.54 148.742 2249.6 147.584 Q2251.68 146.427 2254.39 146.427 Q2258.86 146.427 2261.15 149.205 Q2263.44 151.959 2263.44 157.329 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2290.08 158.95 L2290.08 161.033 L2270.5 161.033 Q2270.78 165.431 2273.14 167.746 Q2275.52 170.038 2279.76 170.038 Q2282.21 170.038 2284.5 169.436 Q2286.82 168.834 2289.09 167.63 L2289.09 171.658 Q2286.8 172.63 2284.39 173.14 Q2281.98 173.649 2279.5 173.649 Q2273.3 173.649 2269.67 170.038 Q2266.06 166.427 2266.06 160.269 Q2266.06 153.904 2269.48 150.177 Q2272.93 146.427 2278.76 146.427 Q2284 146.427 2287.03 149.806 Q2290.08 153.163 2290.08 158.95 M2285.82 157.7 Q2285.78 154.205 2283.86 152.121 Q2281.96 150.038 2278.81 150.038 Q2275.25 150.038 2273.09 152.052 Q2270.96 154.066 2270.64 157.723 L2285.82 157.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M 0 0 M2294.55 136.959 L2298.81 136.959 L2298.81 172.978 L2294.55 172.978 L2294.55 136.959 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
                        ]
                    },
                    "execution_count": 25,
                    "metadata": {},
                    "output_type": "execute_result"
                }
            ],
            "source": [
                "nb_agents = 1000\n",
                "w_agents = rand(d, nb_agents);\n",
                "\n",
                "println(\"True mean $(round(mean(w_true, weights(mass_true./sum(mass_true))), digits = 4))\")\n",
                "println(\"Approximate mean $(round(mean(w_agents), digits = 4))\")\n",
                "\n",
                "println(\"True median $(round(quantile(w_true, weights(mass_true./sum(mass_true)), 0.5), digits = 4))\")\n",
                "println(\"Approximate median $(round(quantile(w_agents, 0.5), digits = 4))\")\n",
                "\n",
                "println(\"True variance $(round(var(w_true, weights(mass_true./sum(mass_true))), digits = 4))\")\n",
                "println(\"Approximate variance $(round(var(w_agents), digits = 4))\")\n",
                "\n",
                "p0 = bar(w_true, mass_true, label=\"Mass true value\")\n",
                "p1 = histogram(w_agents, label=\"Mass panel\")\n",
                "plot(p0,p1)"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "With 1000 agents, the approximation is not exceptional. Let's try to increase the number of agents. The following plot shows that the approximation gets better as we increase the number of agents, but a very \n",
                "large number of agents is needed:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 26,
            "metadata": {
                "scrolled": true
            },
            "outputs": [
                {
                    "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=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip080\">\n",
                            "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"\n",
                            "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip081\">\n",
                            "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"\n",
                            "M173.404 1474.16 L2352.76 1474.16 L2352.76 47.2441 L173.404 47.2441  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<defs>\n",
                            "  <clipPath id=\"clip082\">\n",
                            "    <rect x=\"173\" y=\"47\" width=\"2180\" height=\"1428\"/>\n",
                            "  </clipPath>\n",
                            "</defs>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  214.316,1474.16 214.316,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  733.506,1474.16 733.506,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1252.7,1474.16 1252.7,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  1771.89,1474.16 1771.89,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  2291.08,1474.16 2291.08,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,1371.69 2352.76,1371.69 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,1176.45 2352.76,1176.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,981.213 2352.76,981.213 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,785.975 2352.76,785.975 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,590.737 2352.76,590.737 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,395.499 2352.76,395.499 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
                            "  173.404,200.262 2352.76,200.262 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,1474.16 2352.76,1474.16 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,1474.16 173.404,47.2441 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  214.316,1474.16 214.316,1457.04 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  733.506,1474.16 733.506,1457.04 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1252.7,1474.16 1252.7,1457.04 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1771.89,1474.16 1771.89,1457.04 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  2291.08,1474.16 2291.08,1457.04 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,1371.69 199.556,1371.69 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,1176.45 199.556,1176.45 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,981.213 199.556,981.213 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,785.975 199.556,785.975 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,590.737 199.556,590.737 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,395.499 199.556,395.499 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  173.404,200.262 199.556,200.262 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"M 0 0 M214.316 1496.16 Q210.705 1496.16 208.876 1499.72 Q207.071 1503.26 207.071 1510.39 Q207.071 1517.5 208.876 1521.06 Q210.705 1524.6 214.316 1524.6 Q217.95 1524.6 219.756 1521.06 Q221.584 1517.5 221.584 1510.39 Q221.584 1503.26 219.756 1499.72 Q217.95 1496.16 214.316 1496.16 M214.316 1492.45 Q220.126 1492.45 223.182 1497.06 Q226.26 1501.64 226.26 1510.39 Q226.26 1519.12 223.182 1523.72 Q220.126 1528.31 214.316 1528.31 Q208.506 1528.31 205.427 1523.72 Q202.371 1519.12 202.371 1510.39 Q202.371 1501.64 205.427 1497.06 Q208.506 1492.45 214.316 1492.45 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M656.921 1545.24 L673.24 1545.24 L673.24 1549.17 L651.296 1549.17 L651.296 1545.24 Q653.958 1542.48 658.541 1537.85 Q663.148 1533.2 664.328 1531.86 Q666.573 1529.33 667.453 1527.6 Q668.356 1525.84 668.356 1524.15 Q668.356 1521.39 666.411 1519.66 Q664.49 1517.92 661.388 1517.92 Q659.189 1517.92 656.736 1518.69 Q654.305 1519.45 651.527 1521 L651.527 1516.28 Q654.351 1515.14 656.805 1514.57 Q659.259 1513.99 661.296 1513.99 Q666.666 1513.99 669.86 1516.67 Q673.055 1519.36 673.055 1523.85 Q673.055 1525.98 672.245 1527.9 Q671.458 1529.8 669.351 1532.39 Q668.772 1533.06 665.671 1536.28 Q662.569 1539.47 656.921 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M678.309 1543.29 L683.194 1543.29 L683.194 1549.17 L678.309 1549.17 L678.309 1543.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M688.309 1514.61 L706.666 1514.61 L706.666 1518.55 L692.592 1518.55 L692.592 1527.02 Q693.61 1526.67 694.629 1526.51 Q695.647 1526.32 696.666 1526.32 Q702.453 1526.32 705.832 1529.5 Q709.212 1532.67 709.212 1538.08 Q709.212 1543.66 705.74 1546.76 Q702.268 1549.84 695.948 1549.84 Q693.772 1549.84 691.504 1549.47 Q689.258 1549.1 686.851 1548.36 L686.851 1543.66 Q688.934 1544.8 691.157 1545.35 Q693.379 1545.91 695.856 1545.91 Q699.86 1545.91 702.198 1543.8 Q704.536 1541.7 704.536 1538.08 Q704.536 1534.47 702.198 1532.37 Q699.86 1530.26 695.856 1530.26 Q693.981 1530.26 692.106 1530.68 Q690.254 1531.09 688.309 1531.97 L688.309 1514.61 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M742.453 1523.71 L731.874 1534.33 L742.453 1544.91 L739.698 1547.71 L729.073 1537.09 L718.448 1547.71 L715.717 1544.91 L726.272 1534.33 L715.717 1523.71 L718.448 1520.91 L729.073 1531.53 L739.698 1520.91 L742.453 1523.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M748.332 1545.24 L755.971 1545.24 L755.971 1518.87 L747.661 1520.54 L747.661 1516.28 L755.925 1514.61 L760.601 1514.61 L760.601 1545.24 L768.24 1545.24 L768.24 1549.17 L748.332 1549.17 L748.332 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M783.309 1517.69 Q779.698 1517.69 777.869 1521.26 Q776.064 1524.8 776.064 1531.93 Q776.064 1539.03 777.869 1542.6 Q779.698 1546.14 783.309 1546.14 Q786.943 1546.14 788.749 1542.6 Q790.577 1539.03 790.577 1531.93 Q790.577 1524.8 788.749 1521.26 Q786.943 1517.69 783.309 1517.69 M783.309 1513.99 Q789.119 1513.99 792.175 1518.59 Q795.253 1523.18 795.253 1531.93 Q795.253 1540.65 792.175 1545.26 Q789.119 1549.84 783.309 1549.84 Q777.499 1549.84 774.42 1545.26 Q771.365 1540.65 771.365 1531.93 Q771.365 1523.18 774.42 1518.59 Q777.499 1513.99 783.309 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M807.93 1496.99 L798.338 1511.98 L807.93 1511.98 L807.93 1496.99 M806.933 1493.68 L811.71 1493.68 L811.71 1511.98 L815.716 1511.98 L815.716 1515.14 L811.71 1515.14 L811.71 1521.76 L807.93 1521.76 L807.93 1515.14 L795.253 1515.14 L795.253 1511.47 L806.933 1493.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1171.24 1514.61 L1189.59 1514.61 L1189.59 1518.55 L1175.52 1518.55 L1175.52 1527.02 Q1176.54 1526.67 1177.56 1526.51 Q1178.58 1526.32 1179.59 1526.32 Q1185.38 1526.32 1188.76 1529.5 Q1192.14 1532.67 1192.14 1538.08 Q1192.14 1543.66 1188.67 1546.76 Q1185.2 1549.84 1178.88 1549.84 Q1176.7 1549.84 1174.43 1549.47 Q1172.19 1549.1 1169.78 1548.36 L1169.78 1543.66 Q1171.86 1544.8 1174.09 1545.35 Q1176.31 1545.91 1178.78 1545.91 Q1182.79 1545.91 1185.13 1543.8 Q1187.46 1541.7 1187.46 1538.08 Q1187.46 1534.47 1185.13 1532.37 Q1182.79 1530.26 1178.78 1530.26 Q1176.91 1530.26 1175.03 1530.68 Q1173.18 1531.09 1171.24 1531.97 L1171.24 1514.61 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1197.21 1543.29 L1202.09 1543.29 L1202.09 1549.17 L1197.21 1549.17 L1197.21 1543.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1217.16 1517.69 Q1213.55 1517.69 1211.72 1521.26 Q1209.92 1524.8 1209.92 1531.93 Q1209.92 1539.03 1211.72 1542.6 Q1213.55 1546.14 1217.16 1546.14 Q1220.8 1546.14 1222.6 1542.6 Q1224.43 1539.03 1224.43 1531.93 Q1224.43 1524.8 1222.6 1521.26 Q1220.8 1517.69 1217.16 1517.69 M1217.16 1513.99 Q1222.97 1513.99 1226.03 1518.59 Q1229.11 1523.18 1229.11 1531.93 Q1229.11 1540.65 1226.03 1545.26 Q1222.97 1549.84 1217.16 1549.84 Q1211.35 1549.84 1208.27 1545.26 Q1205.22 1540.65 1205.22 1531.93 Q1205.22 1523.18 1208.27 1518.59 Q1211.35 1513.99 1217.16 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1262.35 1523.71 L1251.77 1534.33 L1262.35 1544.91 L1259.59 1547.71 L1248.97 1537.09 L1238.34 1547.71 L1235.61 1544.91 L1246.17 1534.33 L1235.61 1523.71 L1238.34 1520.91 L1248.97 1531.53 L1259.59 1520.91 L1262.35 1523.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1268.23 1545.24 L1275.87 1545.24 L1275.87 1518.87 L1267.56 1520.54 L1267.56 1516.28 L1275.82 1514.61 L1280.5 1514.61 L1280.5 1545.24 L1288.14 1545.24 L1288.14 1549.17 L1268.23 1549.17 L1268.23 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1303.2 1517.69 Q1299.59 1517.69 1297.77 1521.26 Q1295.96 1524.8 1295.96 1531.93 Q1295.96 1539.03 1297.77 1542.6 Q1299.59 1546.14 1303.2 1546.14 Q1306.84 1546.14 1308.64 1542.6 Q1310.47 1539.03 1310.47 1531.93 Q1310.47 1524.8 1308.64 1521.26 Q1306.84 1517.69 1303.2 1517.69 M1303.2 1513.99 Q1309.02 1513.99 1312.07 1518.59 Q1315.15 1523.18 1315.15 1531.93 Q1315.15 1540.65 1312.07 1545.26 Q1309.02 1549.84 1303.2 1549.84 Q1297.39 1549.84 1294.32 1545.26 Q1291.26 1540.65 1291.26 1531.93 Q1291.26 1523.18 1294.32 1518.59 Q1297.39 1513.99 1303.2 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1327.83 1496.99 L1318.23 1511.98 L1327.83 1511.98 L1327.83 1496.99 M1326.83 1493.68 L1331.61 1493.68 L1331.61 1511.98 L1335.61 1511.98 L1335.61 1515.14 L1331.61 1515.14 L1331.61 1521.76 L1327.83 1521.76 L1327.83 1515.14 L1315.15 1515.14 L1315.15 1511.47 L1326.83 1493.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1689.54 1514.61 L1711.76 1514.61 L1711.76 1516.6 L1699.21 1549.17 L1694.33 1549.17 L1706.13 1518.55 L1689.54 1518.55 L1689.54 1514.61 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1716.83 1543.29 L1721.71 1543.29 L1721.71 1549.17 L1716.83 1549.17 L1716.83 1543.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1726.83 1514.61 L1745.18 1514.61 L1745.18 1518.55 L1731.11 1518.55 L1731.11 1527.02 Q1732.13 1526.67 1733.15 1526.51 Q1734.17 1526.32 1735.18 1526.32 Q1740.97 1526.32 1744.35 1529.5 Q1747.73 1532.67 1747.73 1538.08 Q1747.73 1543.66 1744.26 1546.76 Q1740.79 1549.84 1734.47 1549.84 Q1732.29 1549.84 1730.02 1549.47 Q1727.78 1549.1 1725.37 1548.36 L1725.37 1543.66 Q1727.45 1544.8 1729.68 1545.35 Q1731.9 1545.91 1734.37 1545.91 Q1738.38 1545.91 1740.72 1543.8 Q1743.06 1541.7 1743.06 1538.08 Q1743.06 1534.47 1740.72 1532.37 Q1738.38 1530.26 1734.37 1530.26 Q1732.5 1530.26 1730.62 1530.68 Q1728.77 1531.09 1726.83 1531.97 L1726.83 1514.61 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1780.97 1523.71 L1770.39 1534.33 L1780.97 1544.91 L1778.22 1547.71 L1767.59 1537.09 L1756.97 1547.71 L1754.24 1544.91 L1764.79 1534.33 L1754.24 1523.71 L1756.97 1520.91 L1767.59 1531.53 L1778.22 1520.91 L1780.97 1523.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1786.85 1545.24 L1794.49 1545.24 L1794.49 1518.87 L1786.18 1520.54 L1786.18 1516.28 L1794.44 1514.61 L1799.12 1514.61 L1799.12 1545.24 L1806.76 1545.24 L1806.76 1549.17 L1786.85 1549.17 L1786.85 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1821.83 1517.69 Q1818.22 1517.69 1816.39 1521.26 Q1814.58 1524.8 1814.58 1531.93 Q1814.58 1539.03 1816.39 1542.6 Q1818.22 1546.14 1821.83 1546.14 Q1825.46 1546.14 1827.27 1542.6 Q1829.1 1539.03 1829.1 1531.93 Q1829.1 1524.8 1827.27 1521.26 Q1825.46 1517.69 1821.83 1517.69 M1821.83 1513.99 Q1827.64 1513.99 1830.69 1518.59 Q1833.77 1523.18 1833.77 1531.93 Q1833.77 1540.65 1830.69 1545.26 Q1827.64 1549.84 1821.83 1549.84 Q1816.02 1549.84 1812.94 1545.26 Q1809.88 1540.65 1809.88 1531.93 Q1809.88 1523.18 1812.94 1518.59 Q1816.02 1513.99 1821.83 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1846.45 1496.99 L1836.86 1511.98 L1846.45 1511.98 L1846.45 1496.99 M1845.45 1493.68 L1850.23 1493.68 L1850.23 1511.98 L1854.24 1511.98 L1854.24 1515.14 L1850.23 1515.14 L1850.23 1521.76 L1846.45 1521.76 L1846.45 1515.14 L1833.77 1515.14 L1833.77 1511.47 L1845.45 1493.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2210.87 1545.24 L2218.51 1545.24 L2218.51 1518.87 L2210.2 1520.54 L2210.2 1516.28 L2218.46 1514.61 L2223.14 1514.61 L2223.14 1545.24 L2230.78 1545.24 L2230.78 1549.17 L2210.87 1549.17 L2210.87 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2235.85 1543.29 L2240.73 1543.29 L2240.73 1549.17 L2235.85 1549.17 L2235.85 1543.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2255.8 1517.69 Q2252.19 1517.69 2250.36 1521.26 Q2248.55 1524.8 2248.55 1531.93 Q2248.55 1539.03 2250.36 1542.6 Q2252.19 1546.14 2255.8 1546.14 Q2259.43 1546.14 2261.24 1542.6 Q2263.07 1539.03 2263.07 1531.93 Q2263.07 1524.8 2261.24 1521.26 Q2259.43 1517.69 2255.8 1517.69 M2255.8 1513.99 Q2261.61 1513.99 2264.67 1518.59 Q2267.74 1523.18 2267.74 1531.93 Q2267.74 1540.65 2264.67 1545.26 Q2261.61 1549.84 2255.8 1549.84 Q2249.99 1549.84 2246.91 1545.26 Q2243.86 1540.65 2243.86 1531.93 Q2243.86 1523.18 2246.91 1518.59 Q2249.99 1513.99 2255.8 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2300.98 1523.71 L2290.41 1534.33 L2300.98 1544.91 L2298.23 1547.71 L2287.61 1537.09 L2276.98 1547.71 L2274.25 1544.91 L2284.8 1534.33 L2274.25 1523.71 L2276.98 1520.91 L2287.61 1531.53 L2298.23 1520.91 L2300.98 1523.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2306.86 1545.24 L2314.5 1545.24 L2314.5 1518.87 L2306.19 1520.54 L2306.19 1516.28 L2314.46 1514.61 L2319.13 1514.61 L2319.13 1545.24 L2326.77 1545.24 L2326.77 1549.17 L2306.86 1549.17 L2306.86 1545.24 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2341.84 1517.69 Q2338.23 1517.69 2336.4 1521.26 Q2334.6 1524.8 2334.6 1531.93 Q2334.6 1539.03 2336.4 1542.6 Q2338.23 1546.14 2341.84 1546.14 Q2345.48 1546.14 2347.28 1542.6 Q2349.11 1539.03 2349.11 1531.93 Q2349.11 1524.8 2347.28 1521.26 Q2345.48 1517.69 2341.84 1517.69 M2341.84 1513.99 Q2347.65 1513.99 2350.71 1518.59 Q2353.79 1523.18 2353.79 1531.93 Q2353.79 1540.65 2350.71 1545.26 Q2347.65 1549.84 2341.84 1549.84 Q2336.03 1549.84 2332.95 1545.26 Q2329.9 1540.65 2329.9 1531.93 Q2329.9 1523.18 2332.95 1518.59 Q2336.03 1513.99 2341.84 1513.99 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2354.97 1493.68 L2369.89 1493.68 L2369.89 1496.88 L2358.45 1496.88 L2358.45 1503.76 Q2359.28 1503.48 2360.1 1503.35 Q2360.93 1503.2 2361.76 1503.2 Q2366.46 1503.2 2369.21 1505.77 Q2371.95 1508.35 2371.95 1512.75 Q2371.95 1517.29 2369.13 1519.81 Q2366.31 1522.31 2361.18 1522.31 Q2359.41 1522.31 2357.57 1522.01 Q2355.74 1521.71 2353.79 1521.1 L2353.79 1517.29 Q2355.48 1518.21 2357.28 1518.66 Q2359.09 1519.11 2361.1 1519.11 Q2364.36 1519.11 2366.26 1517.4 Q2368.15 1515.69 2368.15 1512.75 Q2368.15 1509.82 2366.26 1508.11 Q2364.36 1506.4 2361.1 1506.4 Q2359.58 1506.4 2358.05 1506.73 Q2356.55 1507.07 2354.97 1507.79 L2354.97 1493.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M65.793 1385.03 L73.4319 1385.03 L73.4319 1358.67 L65.1217 1360.33 L65.1217 1356.08 L73.3856 1354.41 L78.0615 1354.41 L78.0615 1385.03 L85.7003 1385.03 L85.7003 1388.97 L65.793 1388.97 L65.793 1385.03 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M90.7698 1383.09 L95.654 1383.09 L95.654 1388.97 L90.7698 1388.97 L90.7698 1383.09 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M100.862 1388.25 L100.862 1383.99 Q102.622 1384.83 104.427 1385.27 Q106.233 1385.71 107.969 1385.71 Q112.598 1385.71 115.029 1382.6 Q117.483 1379.48 117.83 1373.14 Q116.487 1375.13 114.427 1376.19 Q112.367 1377.26 109.867 1377.26 Q104.682 1377.26 101.649 1374.13 Q98.6401 1370.98 98.6401 1365.54 Q98.6401 1360.22 101.788 1357 Q104.936 1353.78 110.168 1353.78 Q116.163 1353.78 119.311 1358.39 Q122.483 1362.97 122.483 1371.72 Q122.483 1379.89 118.594 1384.78 Q114.728 1389.64 108.177 1389.64 Q106.418 1389.64 104.612 1389.29 Q102.807 1388.95 100.862 1388.25 M110.168 1373.6 Q113.316 1373.6 115.145 1371.45 Q116.996 1369.29 116.996 1365.54 Q116.996 1361.82 115.145 1359.66 Q113.316 1357.49 110.168 1357.49 Q107.02 1357.49 105.168 1359.66 Q103.339 1361.82 103.339 1365.54 Q103.339 1369.29 105.168 1371.45 Q107.02 1373.6 110.168 1373.6 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M137.552 1372.56 Q134.219 1372.56 132.297 1374.34 Q130.399 1376.12 130.399 1379.25 Q130.399 1382.37 132.297 1384.15 Q134.219 1385.94 137.552 1385.94 Q140.885 1385.94 142.807 1384.15 Q144.728 1382.35 144.728 1379.25 Q144.728 1376.12 142.807 1374.34 Q140.908 1372.56 137.552 1372.56 M132.876 1370.57 Q129.867 1369.83 128.177 1367.77 Q126.51 1365.71 126.51 1362.74 Q126.51 1358.6 129.45 1356.19 Q132.413 1353.78 137.552 1353.78 Q142.714 1353.78 145.654 1356.19 Q148.594 1358.6 148.594 1362.74 Q148.594 1365.71 146.904 1367.77 Q145.237 1369.83 142.251 1370.57 Q145.631 1371.35 147.506 1373.64 Q149.404 1375.94 149.404 1379.25 Q149.404 1384.27 146.325 1386.96 Q143.269 1389.64 137.552 1389.64 Q131.834 1389.64 128.756 1386.96 Q125.7 1384.27 125.7 1379.25 Q125.7 1375.94 127.598 1373.64 Q129.496 1371.35 132.876 1370.57 M131.163 1363.18 Q131.163 1365.87 132.83 1367.37 Q134.52 1368.88 137.552 1368.88 Q140.561 1368.88 142.251 1367.37 Q143.964 1365.87 143.964 1363.18 Q143.964 1360.5 142.251 1358.99 Q140.561 1357.49 137.552 1357.49 Q134.52 1357.49 132.83 1358.99 Q131.163 1360.5 131.163 1363.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M65.8856 1189.8 L73.5245 1189.8 L73.5245 1163.43 L65.2143 1165.1 L65.2143 1160.84 L73.4782 1159.17 L78.1541 1159.17 L78.1541 1189.8 L85.7929 1189.8 L85.7929 1193.73 L65.8856 1193.73 L65.8856 1189.8 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M90.8623 1187.85 L95.7466 1187.85 L95.7466 1193.73 L90.8623 1193.73 L90.8623 1187.85 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M100.955 1193.01 L100.955 1188.75 Q102.714 1189.59 104.52 1190.03 Q106.325 1190.47 108.061 1190.47 Q112.691 1190.47 115.121 1187.37 Q117.575 1184.24 117.922 1177.9 Q116.58 1179.89 114.52 1180.95 Q112.459 1182.02 109.959 1182.02 Q104.774 1182.02 101.742 1178.89 Q98.7327 1175.74 98.7327 1170.31 Q98.7327 1164.98 101.881 1161.76 Q105.029 1158.55 110.26 1158.55 Q116.256 1158.55 119.404 1163.15 Q122.575 1167.74 122.575 1176.49 Q122.575 1184.66 118.686 1189.54 Q114.821 1194.4 108.27 1194.4 Q106.51 1194.4 104.705 1194.06 Q102.899 1193.71 100.955 1193.01 M110.26 1178.36 Q113.409 1178.36 115.237 1176.21 Q117.089 1174.06 117.089 1170.31 Q117.089 1166.58 115.237 1164.43 Q113.409 1162.25 110.26 1162.25 Q107.112 1162.25 105.26 1164.43 Q103.432 1166.58 103.432 1170.31 Q103.432 1174.06 105.26 1176.21 Q107.112 1178.36 110.26 1178.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M127.783 1193.01 L127.783 1188.75 Q129.543 1189.59 131.348 1190.03 Q133.154 1190.47 134.89 1190.47 Q139.519 1190.47 141.95 1187.37 Q144.404 1184.24 144.751 1177.9 Q143.408 1179.89 141.348 1180.95 Q139.288 1182.02 136.788 1182.02 Q131.603 1182.02 128.57 1178.89 Q125.561 1175.74 125.561 1170.31 Q125.561 1164.98 128.709 1161.76 Q131.857 1158.55 137.089 1158.55 Q143.084 1158.55 146.232 1163.15 Q149.404 1167.74 149.404 1176.49 Q149.404 1184.66 145.515 1189.54 Q141.649 1194.4 135.098 1194.4 Q133.339 1194.4 131.533 1194.06 Q129.728 1193.71 127.783 1193.01 M137.089 1178.36 Q140.237 1178.36 142.066 1176.21 Q143.918 1174.06 143.918 1170.31 Q143.918 1166.58 142.066 1164.43 Q140.237 1162.25 137.089 1162.25 Q133.941 1162.25 132.089 1164.43 Q130.26 1166.58 130.26 1170.31 Q130.26 1174.06 132.089 1176.21 Q133.941 1178.36 137.089 1178.36 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M69.1032 994.558 L85.4226 994.558 L85.4226 998.493 L63.4782 998.493 L63.4782 994.558 Q66.1403 991.803 70.7236 987.174 Q75.33 982.521 76.5106 981.178 Q78.7559 978.655 79.6356 976.919 Q80.5383 975.16 80.5383 973.47 Q80.5383 970.715 78.5939 968.979 Q76.6726 967.243 73.5708 967.243 Q71.3717 967.243 68.918 968.007 Q66.4875 968.771 63.7097 970.322 L63.7097 965.6 Q66.5338 964.466 68.9875 963.887 Q71.4412 963.308 73.4782 963.308 Q78.8485 963.308 82.0429 965.993 Q85.2374 968.678 85.2374 973.169 Q85.2374 975.299 84.4272 977.22 Q83.6402 979.118 81.5337 981.711 Q80.955 982.382 77.8532 985.6 Q74.7513 988.794 69.1032 994.558 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M90.492 992.614 L95.3762 992.614 L95.3762 998.493 L90.492 998.493 L90.492 992.614 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M110.446 967.012 Q106.834 967.012 105.006 970.577 Q103.2 974.118 103.2 981.248 Q103.2 988.354 105.006 991.919 Q106.834 995.461 110.446 995.461 Q114.08 995.461 115.885 991.919 Q117.714 988.354 117.714 981.248 Q117.714 974.118 115.885 970.577 Q114.08 967.012 110.446 967.012 M110.446 963.308 Q116.256 963.308 119.311 967.915 Q122.39 972.498 122.39 981.248 Q122.39 989.975 119.311 994.581 Q116.256 999.164 110.446 999.164 Q104.635 999.164 101.557 994.581 Q98.5012 989.975 98.5012 981.248 Q98.5012 972.498 101.557 967.915 Q104.635 963.308 110.446 963.308 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M137.459 967.012 Q133.848 967.012 132.02 970.577 Q130.214 974.118 130.214 981.248 Q130.214 988.354 132.02 991.919 Q133.848 995.461 137.459 995.461 Q141.094 995.461 142.899 991.919 Q144.728 988.354 144.728 981.248 Q144.728 974.118 142.899 970.577 Q141.094 967.012 137.459 967.012 M137.459 963.308 Q143.269 963.308 146.325 967.915 Q149.404 972.498 149.404 981.248 Q149.404 989.975 146.325 994.581 Q143.269 999.164 137.459 999.164 Q131.649 999.164 128.57 994.581 Q125.515 989.975 125.515 981.248 Q125.515 972.498 128.57 967.915 Q131.649 963.308 137.459 963.308 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M70.33 799.32 L86.6494 799.32 L86.6494 803.255 L64.7051 803.255 L64.7051 799.32 Q67.3671 796.565 71.9504 791.936 Q76.5569 787.283 77.7374 785.941 Q79.9828 783.417 80.8624 781.681 Q81.7652 779.922 81.7652 778.232 Q81.7652 775.478 79.8207 773.742 Q77.8995 772.005 74.7976 772.005 Q72.5986 772.005 70.1449 772.769 Q67.7143 773.533 64.9366 775.084 L64.9366 770.362 Q67.7606 769.228 70.2143 768.649 Q72.668 768.07 74.705 768.07 Q80.0754 768.07 83.2698 770.755 Q86.4642 773.441 86.4642 777.931 Q86.4642 780.061 85.654 781.982 Q84.867 783.88 82.7605 786.473 Q82.1818 787.144 79.08 790.362 Q75.9782 793.556 70.33 799.32 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M91.7188 797.376 L96.6031 797.376 L96.6031 803.255 L91.7188 803.255 L91.7188 797.376 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M111.672 771.774 Q108.061 771.774 106.233 775.339 Q104.427 778.88 104.427 786.01 Q104.427 793.116 106.233 796.681 Q108.061 800.223 111.672 800.223 Q115.307 800.223 117.112 796.681 Q118.941 793.116 118.941 786.01 Q118.941 778.88 117.112 775.339 Q115.307 771.774 111.672 771.774 M111.672 768.07 Q117.483 768.07 120.538 772.677 Q123.617 777.26 123.617 786.01 Q123.617 794.737 120.538 799.343 Q117.483 803.927 111.672 803.927 Q105.862 803.927 102.784 799.343 Q99.728 794.737 99.728 786.01 Q99.728 777.26 102.784 772.677 Q105.862 768.07 111.672 768.07 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M129.496 799.32 L137.135 799.32 L137.135 772.954 L128.825 774.621 L128.825 770.362 L137.089 768.695 L141.765 768.695 L141.765 799.32 L149.404 799.32 L149.404 803.255 L129.496 803.255 L129.496 799.32 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M70.7004 604.082 L87.0198 604.082 L87.0198 608.017 L65.0754 608.017 L65.0754 604.082 Q67.7375 601.328 72.3208 596.698 Q76.9272 592.045 78.1078 590.703 Q80.3531 588.18 81.2328 586.443 Q82.1355 584.684 82.1355 582.994 Q82.1355 580.24 80.1911 578.504 Q78.2698 576.768 75.168 576.768 Q72.9689 576.768 70.5152 577.531 Q68.0847 578.295 65.3069 579.846 L65.3069 575.124 Q68.131 573.99 70.5847 573.411 Q73.0384 572.832 75.0754 572.832 Q80.4457 572.832 83.6402 575.518 Q86.8346 578.203 86.8346 582.693 Q86.8346 584.823 86.0244 586.744 Q85.2374 588.642 83.1309 591.235 Q82.5522 591.906 79.4504 595.124 Q76.3485 598.318 70.7004 604.082 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M92.0892 602.138 L96.9734 602.138 L96.9734 608.017 L92.0892 608.017 L92.0892 602.138 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M112.043 576.536 Q108.432 576.536 106.603 580.101 Q104.797 583.642 104.797 590.772 Q104.797 597.879 106.603 601.443 Q108.432 604.985 112.043 604.985 Q115.677 604.985 117.483 601.443 Q119.311 597.879 119.311 590.772 Q119.311 583.642 117.483 580.101 Q115.677 576.536 112.043 576.536 M112.043 572.832 Q117.853 572.832 120.908 577.439 Q123.987 582.022 123.987 590.772 Q123.987 599.499 120.908 604.105 Q117.853 608.689 112.043 608.689 Q106.233 608.689 103.154 604.105 Q100.098 599.499 100.098 590.772 Q100.098 582.022 103.154 577.439 Q106.233 572.832 112.043 572.832 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M133.084 604.082 L149.404 604.082 L149.404 608.017 L127.459 608.017 L127.459 604.082 Q130.121 601.328 134.705 596.698 Q139.311 592.045 140.492 590.703 Q142.737 588.18 143.617 586.443 Q144.519 584.684 144.519 582.994 Q144.519 580.24 142.575 578.504 Q140.654 576.768 137.552 576.768 Q135.353 576.768 132.899 577.531 Q130.469 578.295 127.691 579.846 L127.691 575.124 Q130.515 573.99 132.969 573.411 Q135.422 572.832 137.459 572.832 Q142.83 572.832 146.024 575.518 Q149.219 578.203 149.219 582.693 Q149.219 584.823 148.408 586.744 Q147.621 588.642 145.515 591.235 Q144.936 591.906 141.834 595.124 Q138.732 598.318 133.084 604.082 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M69.7513 408.844 L86.0707 408.844 L86.0707 412.779 L64.1264 412.779 L64.1264 408.844 Q66.7884 406.09 71.3717 401.46 Q75.9782 396.807 77.1587 395.465 Q79.4041 392.942 80.2837 391.206 Q81.1865 389.446 81.1865 387.756 Q81.1865 385.002 79.242 383.266 Q77.3208 381.53 74.2189 381.53 Q72.0199 381.53 69.5662 382.294 Q67.1356 383.057 64.3579 384.608 L64.3579 379.886 Q67.1819 378.752 69.6356 378.173 Q72.0893 377.594 74.1263 377.594 Q79.4967 377.594 82.6911 380.28 Q85.8855 382.965 85.8855 387.456 Q85.8855 389.585 85.0753 391.506 Q84.2883 393.405 82.1818 395.997 Q81.6031 396.668 78.5013 399.886 Q75.3995 403.08 69.7513 408.844 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M91.1401 406.9 L96.0244 406.9 L96.0244 412.779 L91.1401 412.779 L91.1401 406.9 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M111.094 381.298 Q107.483 381.298 105.654 384.863 Q103.848 388.405 103.848 395.534 Q103.848 402.641 105.654 406.205 Q107.483 409.747 111.094 409.747 Q114.728 409.747 116.534 406.205 Q118.362 402.641 118.362 395.534 Q118.362 388.405 116.534 384.863 Q114.728 381.298 111.094 381.298 M111.094 377.594 Q116.904 377.594 119.959 382.201 Q123.038 386.784 123.038 395.534 Q123.038 404.261 119.959 408.867 Q116.904 413.451 111.094 413.451 Q105.284 413.451 102.205 408.867 Q99.1493 404.261 99.1493 395.534 Q99.1493 386.784 102.205 382.201 Q105.284 377.594 111.094 377.594 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M142.274 394.145 Q145.631 394.863 147.506 397.131 Q149.404 399.4 149.404 402.733 Q149.404 407.849 145.885 410.65 Q142.367 413.451 135.885 413.451 Q133.709 413.451 131.395 413.011 Q129.103 412.594 126.649 411.738 L126.649 407.224 Q128.594 408.358 130.908 408.937 Q133.223 409.516 135.746 409.516 Q140.144 409.516 142.436 407.78 Q144.751 406.043 144.751 402.733 Q144.751 399.678 142.598 397.965 Q140.469 396.229 136.649 396.229 L132.621 396.229 L132.621 392.386 L136.834 392.386 Q140.283 392.386 142.112 391.02 Q143.941 389.631 143.941 387.039 Q143.941 384.377 142.043 382.965 Q140.168 381.53 136.649 381.53 Q134.728 381.53 132.529 381.946 Q130.33 382.363 127.691 383.243 L127.691 379.076 Q130.353 378.335 132.668 377.965 Q135.006 377.594 137.066 377.594 Q142.39 377.594 145.492 380.025 Q148.594 382.432 148.594 386.553 Q148.594 389.423 146.95 391.414 Q145.306 393.381 142.274 394.145 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M68.6171 213.606 L84.9365 213.606 L84.9365 217.542 L62.9921 217.542 L62.9921 213.606 Q65.6541 210.852 70.2375 206.222 Q74.8439 201.569 76.0245 200.227 Q78.2698 197.704 79.1494 195.968 Q80.0522 194.208 80.0522 192.519 Q80.0522 189.764 78.1078 188.028 Q76.1865 186.292 73.0847 186.292 Q70.8856 186.292 68.4319 187.056 Q66.0014 187.82 63.2236 189.37 L63.2236 184.648 Q66.0477 183.514 68.5014 182.935 Q70.955 182.357 72.9921 182.357 Q78.3624 182.357 81.5568 185.042 Q84.7513 187.727 84.7513 192.218 Q84.7513 194.347 83.9411 196.269 Q83.1541 198.167 81.0476 200.759 Q80.4689 201.431 77.367 204.648 Q74.2652 207.843 68.6171 213.606 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M90.0059 211.662 L94.8901 211.662 L94.8901 217.542 L90.0059 217.542 L90.0059 211.662 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M109.959 186.06 Q106.348 186.06 104.52 189.625 Q102.714 193.167 102.714 200.296 Q102.714 207.403 104.52 210.968 Q106.348 214.509 109.959 214.509 Q113.594 214.509 115.399 210.968 Q117.228 207.403 117.228 200.296 Q117.228 193.167 115.399 189.625 Q113.594 186.06 109.959 186.06 M109.959 182.357 Q115.77 182.357 118.825 186.963 Q121.904 191.546 121.904 200.296 Q121.904 209.023 118.825 213.63 Q115.77 218.213 109.959 218.213 Q104.149 218.213 101.071 213.63 Q98.0151 209.023 98.0151 200.296 Q98.0151 191.546 101.071 186.963 Q104.149 182.357 109.959 182.357 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M139.82 187.056 L128.015 205.505 L139.82 205.505 L139.82 187.056 M138.594 182.982 L144.473 182.982 L144.473 205.505 L149.404 205.505 L149.404 209.393 L144.473 209.393 L144.473 217.542 L139.82 217.542 L139.82 209.393 L124.219 209.393 L124.219 204.88 L138.594 182.982 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip082)\" d=\"\n",
                            "M235.083 1370.57 L255.851 1346.66 L276.619 1172.12 L297.386 1174.91 L318.154 1365.23 L338.921 1190.04 L359.689 1250.02 L380.457 1392.01 L401.224 1162.75 L421.992 1255.55 \n",
                            "  L442.76 1339.29 L463.527 1023 L484.295 1433.78 L505.062 1255.03 L525.83 1266.19 L546.598 1262.87 L567.365 1124.59 L588.133 1214.35 L608.9 1192.9 L629.668 1011.27 \n",
                            "  L650.436 1163.58 L671.203 1173.68 L691.971 1067.1 L712.738 1043.37 L733.506 1278.43 L754.274 1096.52 L775.041 1114.37 L795.809 1013.35 L816.576 1014.24 L837.344 1068 \n",
                            "  L858.112 1110.72 L878.879 1132.18 L899.647 1119.97 L920.414 1072.4 L941.182 1131.28 L961.95 1089.28 L982.717 1056.6 L1003.48 987.146 L1024.25 1126.62 L1045.02 1033.57 \n",
                            "  L1065.79 1106.05 L1086.56 1165.21 L1107.32 1117.16 L1128.09 1056.67 L1148.86 1001.91 L1169.63 1165.03 L1190.39 1085.48 L1211.16 1082.89 L1231.93 1062.77 L1252.7 1081.96 \n",
                            "  L1273.46 1149.08 L1294.23 1002.59 L1315 1017.43 L1335.77 1114.95 L1356.53 1066.52 L1377.3 1156.91 L1398.07 1090.11 L1418.84 1057.7 L1439.6 1041.2 L1460.37 1053.92 \n",
                            "  L1481.14 1095.14 L1501.91 1036.8 L1522.67 1016.53 L1543.44 1108.41 L1564.21 1028.3 L1584.98 1040.39 L1605.75 1025.18 L1626.51 1055.74 L1647.28 1033.08 L1668.05 1083.86 \n",
                            "  L1688.82 1054.11 L1709.58 1013.77 L1730.35 1008.28 L1751.12 1052.25 L1771.89 1082.93 L1792.65 1012.81 L1813.42 1104.31 L1834.19 1029.41 L1854.96 988.582 L1875.72 1043.18 \n",
                            "  L1896.49 1133.92 L1917.26 1059.49 L1938.03 994 L1958.79 1087.74 L1979.56 1074.81 L2000.33 1055.89 L2021.1 972.379 L2041.86 1032.46 L2062.63 1021.11 L2083.4 1062.23 \n",
                            "  L2104.17 1047.31 L2124.94 1049.27 L2145.7 1036.04 L2166.47 1020.43 L2187.24 1015.67 L2208.01 1028.13 L2228.77 1117.55 L2249.54 1050.89 L2270.31 969.628 L2291.08 1026.81 \n",
                            "  L2291.08 896.049 L2270.31 838.598 L2249.54 919.024 L2228.77 984.933 L2208.01 894.709 L2187.24 881.709 L2166.47 885.786 L2145.7 900.413 L2124.94 913.066 L2104.17 910.45 \n",
                            "  L2083.4 924.51 L2062.63 882.598 L2041.86 893.258 L2021.1 832.285 L2000.33 914.9 L1979.56 933.48 L1958.79 945.243 L1938.03 850.51 L1917.26 914.71 L1896.49 988.597 \n",
                            "  L1875.72 897.207 L1854.96 841.306 L1834.19 881.546 L1813.42 955.374 L1792.65 863.241 L1771.89 932.365 L1751.12 900.841 L1730.35 855.022 L1709.58 859.773 L1688.82 899.556 \n",
                            "  L1668.05 928.144 L1647.28 875.341 L1626.51 897.637 L1605.75 865.407 L1584.98 879.473 L1564.21 866.196 L1543.44 945.085 L1522.67 852.125 L1501.91 870.881 L1481.14 927.575 \n",
                            "  L1460.37 884.769 L1439.6 870.748 L1418.84 886.975 L1398.07 917.465 L1377.3 981.959 L1356.53 890.494 L1335.77 936.995 L1315 837.883 L1294.23 820.855 L1273.46 966.353 \n",
                            "  L1252.7 897.941 L1231.93 876.502 L1211.16 894.791 L1190.39 895.324 L1169.63 972.708 L1148.86 807.351 L1128.09 859.715 L1107.32 918.274 L1086.56 964.482 L1065.79 901.79 \n",
                            "  L1045.02 826.526 L1024.25 917.399 L1003.48 775.795 L982.717 841.235 L961.95 871.583 L941.182 911.038 L920.414 847.879 L899.647 892.038 L878.879 900.69 L858.112 877.132 \n",
                            "  L837.344 829.178 L816.576 770.475 L795.809 765.771 L775.041 863.905 L754.274 840.167 L733.506 1017.33 L712.738 775.834 L691.971 795.077 L671.203 895.072 L650.436 879.897 \n",
                            "  L629.668 718.106 L608.9 894.796 L588.133 907.266 L567.365 807.656 L546.598 937.175 L525.83 928.059 L505.062 903.24 L484.295 1072.88 L463.527 645.503 L442.76 946.341 \n",
                            "  L421.992 842.514 L401.224 725.259 L380.457 925.963 L359.689 760.476 L338.921 658.307 L318.154 783.73 L297.386 520.431 L276.619 430.141 L255.851 413.428 L235.083 87.6286 \n",
                            "   Z\n",
                            "  \" fill=\"#009af9\" fill-rule=\"evenodd\" fill-opacity=\"0.5\"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  235.083,729.098 255.851,880.043 276.619,801.129 297.386,847.671 318.154,1074.48 338.921,924.174 359.689,1005.25 380.457,1158.99 401.224,944.003 421.992,1049.03 \n",
                            "  442.76,1142.82 463.527,834.253 484.295,1253.33 505.062,1079.14 525.83,1097.12 546.598,1100.02 567.365,966.122 588.133,1060.81 608.9,1043.85 629.668,864.686 \n",
                            "  650.436,1021.74 671.203,1034.38 691.971,931.087 712.738,909.602 733.506,1147.88 754.274,968.342 775.041,989.136 795.809,889.561 816.576,892.358 837.344,948.59 \n",
                            "  858.112,993.929 878.879,1016.43 899.647,1006 920.414,960.139 941.182,1021.16 961.95,980.43 982.717,948.915 1003.48,881.471 1024.25,1022.01 1045.02,930.047 \n",
                            "  1065.79,1003.92 1086.56,1064.85 1107.32,1017.72 1128.09,958.194 1148.86,904.632 1169.63,1068.87 1190.39,990.404 1211.16,988.838 1231.93,969.638 1252.7,989.95 \n",
                            "  1273.46,1057.72 1294.23,911.723 1315,927.655 1335.77,1025.97 1356.53,978.508 1377.3,1069.44 1398.07,1003.79 1418.84,972.336 1439.6,955.974 1460.37,969.343 \n",
                            "  1481.14,1011.36 1501.91,953.839 1522.67,934.326 1543.44,1026.75 1564.21,947.246 1584.98,959.933 1605.75,945.291 1626.51,976.69 1647.28,954.211 1668.05,1006 \n",
                            "  1688.82,976.833 1709.58,936.771 1730.35,931.65 1751.12,976.548 1771.89,1007.65 1792.65,938.023 1813.42,1029.84 1834.19,955.476 1854.96,914.944 1875.72,970.192 \n",
                            "  1896.49,1061.26 1917.26,987.101 1938.03,922.255 1958.79,1016.49 1979.56,1004.15 2000.33,985.396 2021.1,902.332 2041.86,962.858 2062.63,951.854 2083.4,993.371 \n",
                            "  2104.17,978.881 2124.94,981.168 2145.7,968.225 2166.47,953.11 2187.24,948.691 2208.01,961.421 2228.77,1051.24 2249.54,984.957 2270.31,904.113 2291.08,961.429 \n",
                            "  \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" stroke-dasharray=\"16, 10\" points=\"\n",
                            "  -2005.95,981.213 4532.11,981.213 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"\n",
                            "M1636.81 276.248 L2280.11 276.248 L2280.11 94.8081 L1636.81 94.8081  Z\n",
                            "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1636.81,276.248 2280.11,276.248 2280.11,94.8081 1636.81,94.8081 1636.81,276.248 \n",
                            "  \"/>\n",
                            "<polyline clip-path=\"url(#clip080)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
                            "  1661.02,155.288 1806.31,155.288 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"M 0 0 M1843.93 159.536 Q1838.77 159.536 1836.78 160.716 Q1834.78 161.897 1834.78 164.744 Q1834.78 167.013 1836.27 168.355 Q1837.77 169.675 1840.34 169.675 Q1843.88 169.675 1846.01 167.175 Q1848.16 164.651 1848.16 160.485 L1848.16 159.536 L1843.93 159.536 M1852.42 157.777 L1852.42 172.568 L1848.16 172.568 L1848.16 168.633 Q1846.71 170.994 1844.53 172.128 Q1842.35 173.239 1839.21 173.239 Q1835.22 173.239 1832.86 171.017 Q1830.53 168.772 1830.53 165.022 Q1830.53 160.647 1833.44 158.425 Q1836.38 156.202 1842.19 156.202 L1848.16 156.202 L1848.16 155.786 Q1848.16 152.846 1846.22 151.249 Q1844.3 149.628 1840.8 149.628 Q1838.58 149.628 1836.47 150.161 Q1834.37 150.693 1832.42 151.758 L1832.42 147.823 Q1834.76 146.92 1836.96 146.48 Q1839.16 146.017 1841.24 146.017 Q1846.87 146.017 1849.65 148.934 Q1852.42 151.851 1852.42 157.777 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1861.01 168.679 L1861.01 182.429 L1856.73 182.429 L1856.73 146.642 L1861.01 146.642 L1861.01 150.577 Q1862.35 148.263 1864.39 147.152 Q1866.45 146.017 1869.3 146.017 Q1874.02 146.017 1876.96 149.767 Q1879.92 153.517 1879.92 159.628 Q1879.92 165.739 1876.96 169.489 Q1874.02 173.239 1869.3 173.239 Q1866.45 173.239 1864.39 172.128 Q1862.35 170.994 1861.01 168.679 M1875.5 159.628 Q1875.5 154.929 1873.56 152.267 Q1871.64 149.582 1868.26 149.582 Q1864.88 149.582 1862.93 152.267 Q1861.01 154.929 1861.01 159.628 Q1861.01 164.327 1862.93 167.013 Q1864.88 169.675 1868.26 169.675 Q1871.64 169.675 1873.56 167.013 Q1875.5 164.327 1875.5 159.628 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1888.51 168.679 L1888.51 182.429 L1884.23 182.429 L1884.23 146.642 L1888.51 146.642 L1888.51 150.577 Q1889.85 148.263 1891.89 147.152 Q1893.95 146.017 1896.8 146.017 Q1901.52 146.017 1904.46 149.767 Q1907.42 153.517 1907.42 159.628 Q1907.42 165.739 1904.46 169.489 Q1901.52 173.239 1896.8 173.239 Q1893.95 173.239 1891.89 172.128 Q1889.85 170.994 1888.51 168.679 M1903 159.628 Q1903 154.929 1901.06 152.267 Q1899.14 149.582 1895.76 149.582 Q1892.38 149.582 1890.43 152.267 Q1888.51 154.929 1888.51 159.628 Q1888.51 164.327 1890.43 167.013 Q1892.38 169.675 1895.76 169.675 Q1899.14 169.675 1901.06 167.013 Q1903 164.327 1903 159.628 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1926.91 150.624 Q1926.2 150.207 1925.34 150.022 Q1924.51 149.814 1923.49 149.814 Q1919.88 149.814 1917.93 152.175 Q1916.01 154.513 1916.01 158.911 L1916.01 172.568 L1911.73 172.568 L1911.73 146.642 L1916.01 146.642 L1916.01 150.67 Q1917.35 148.309 1919.51 147.175 Q1921.66 146.017 1924.74 146.017 Q1925.18 146.017 1925.71 146.087 Q1926.24 146.133 1926.89 146.249 L1926.91 150.624 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1940.39 149.628 Q1936.96 149.628 1934.97 152.314 Q1932.98 154.976 1932.98 159.628 Q1932.98 164.281 1934.95 166.966 Q1936.94 169.628 1940.39 169.628 Q1943.79 169.628 1945.78 166.943 Q1947.77 164.258 1947.77 159.628 Q1947.77 155.022 1945.78 152.337 Q1943.79 149.628 1940.39 149.628 M1940.39 146.017 Q1945.94 146.017 1949.11 149.628 Q1952.28 153.24 1952.28 159.628 Q1952.28 165.994 1949.11 169.628 Q1945.94 173.239 1940.39 173.239 Q1934.81 173.239 1931.64 169.628 Q1928.49 165.994 1928.49 159.628 Q1928.49 153.24 1931.64 149.628 Q1934.81 146.017 1940.39 146.017 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1976.84 146.642 L1967.47 159.258 L1977.33 172.568 L1972.31 172.568 L1964.76 162.383 L1957.21 172.568 L1952.19 172.568 L1962.26 159.003 L1953.05 146.642 L1958.07 146.642 L1964.95 155.878 L1971.82 146.642 L1976.84 146.642 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1981.8 146.642 L1986.06 146.642 L1986.06 172.568 L1981.8 172.568 L1981.8 146.642 M1981.8 136.55 L1986.06 136.55 L1986.06 141.943 L1981.8 141.943 L1981.8 136.55 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2010.71 151.619 Q2012.31 148.749 2014.53 147.383 Q2016.75 146.017 2019.76 146.017 Q2023.81 146.017 2026.01 148.865 Q2028.21 151.689 2028.21 156.92 L2028.21 172.568 L2023.93 172.568 L2023.93 157.059 Q2023.93 153.332 2022.61 151.527 Q2021.29 149.721 2018.58 149.721 Q2015.27 149.721 2013.35 151.92 Q2011.43 154.119 2011.43 157.915 L2011.43 172.568 L2007.14 172.568 L2007.14 157.059 Q2007.14 153.309 2005.83 151.527 Q2004.51 149.721 2001.75 149.721 Q1998.49 149.721 1996.57 151.943 Q1994.65 154.142 1994.65 157.915 L1994.65 172.568 L1990.36 172.568 L1990.36 146.642 L1994.65 146.642 L1994.65 150.67 Q1996.1 148.286 1998.14 147.152 Q2000.18 146.017 2002.98 146.017 Q2005.8 146.017 2007.77 147.453 Q2009.76 148.888 2010.71 151.619 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2044.46 159.536 Q2039.3 159.536 2037.31 160.716 Q2035.32 161.897 2035.32 164.744 Q2035.32 167.013 2036.8 168.355 Q2038.3 169.675 2040.87 169.675 Q2044.41 169.675 2046.54 167.175 Q2048.7 164.651 2048.7 160.485 L2048.7 159.536 L2044.46 159.536 M2052.95 157.777 L2052.95 172.568 L2048.7 172.568 L2048.7 168.633 Q2047.24 170.994 2045.06 172.128 Q2042.89 173.239 2039.74 173.239 Q2035.76 173.239 2033.39 171.017 Q2031.06 168.772 2031.06 165.022 Q2031.06 160.647 2033.97 158.425 Q2036.91 156.202 2042.72 156.202 L2048.7 156.202 L2048.7 155.786 Q2048.7 152.846 2046.75 151.249 Q2044.83 149.628 2041.33 149.628 Q2039.11 149.628 2037.01 150.161 Q2034.9 150.693 2032.95 151.758 L2032.95 147.823 Q2035.29 146.92 2037.49 146.48 Q2039.69 146.017 2041.77 146.017 Q2047.4 146.017 2050.18 148.934 Q2052.95 151.851 2052.95 157.777 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2061.64 139.281 L2061.64 146.642 L2070.41 146.642 L2070.41 149.952 L2061.64 149.952 L2061.64 164.026 Q2061.64 167.198 2062.49 168.101 Q2063.37 169.003 2066.03 169.003 L2070.41 169.003 L2070.41 172.568 L2066.03 172.568 Q2061.1 172.568 2059.23 170.739 Q2057.35 168.888 2057.35 164.026 L2057.35 149.952 L2054.23 149.952 L2054.23 146.642 L2057.35 146.642 L2057.35 139.281 L2061.64 139.281 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2097.05 158.54 L2097.05 160.624 L2077.47 160.624 Q2077.75 165.022 2080.11 167.337 Q2082.49 169.628 2086.73 169.628 Q2089.18 169.628 2091.47 169.026 Q2093.79 168.425 2096.06 167.221 L2096.06 171.249 Q2093.76 172.221 2091.36 172.73 Q2088.95 173.239 2086.47 173.239 Q2080.27 173.239 2076.64 169.628 Q2073.02 166.017 2073.02 159.86 Q2073.02 153.494 2076.45 149.767 Q2079.9 146.017 2085.73 146.017 Q2090.96 146.017 2094 149.397 Q2097.05 152.753 2097.05 158.54 M2092.79 157.29 Q2092.75 153.795 2090.83 151.712 Q2088.93 149.628 2085.78 149.628 Q2082.21 149.628 2080.06 151.642 Q2077.93 153.656 2077.61 157.314 L2092.79 157.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2136.77 151.619 Q2138.37 148.749 2140.59 147.383 Q2142.82 146.017 2145.82 146.017 Q2149.88 146.017 2152.07 148.865 Q2154.27 151.689 2154.27 156.92 L2154.27 172.568 L2149.99 172.568 L2149.99 157.059 Q2149.99 153.332 2148.67 151.527 Q2147.35 149.721 2144.64 149.721 Q2141.33 149.721 2139.41 151.92 Q2137.49 154.119 2137.49 157.915 L2137.49 172.568 L2133.21 172.568 L2133.21 157.059 Q2133.21 153.309 2131.89 151.527 Q2130.57 149.721 2127.82 149.721 Q2124.55 149.721 2122.63 151.943 Q2120.71 154.142 2120.71 157.915 L2120.71 172.568 L2116.43 172.568 L2116.43 146.642 L2120.71 146.642 L2120.71 150.67 Q2122.17 148.286 2124.2 147.152 Q2126.24 146.017 2129.04 146.017 Q2131.87 146.017 2133.83 147.453 Q2135.82 148.888 2136.77 151.619 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2180.92 158.54 L2180.92 160.624 L2161.33 160.624 Q2161.61 165.022 2163.97 167.337 Q2166.36 169.628 2170.59 169.628 Q2173.05 169.628 2175.34 169.026 Q2177.65 168.425 2179.92 167.221 L2179.92 171.249 Q2177.63 172.221 2175.22 172.73 Q2172.82 173.239 2170.34 173.239 Q2164.13 173.239 2160.5 169.628 Q2156.89 166.017 2156.89 159.86 Q2156.89 153.494 2160.32 149.767 Q2163.76 146.017 2169.6 146.017 Q2174.83 146.017 2177.86 149.397 Q2180.92 152.753 2180.92 158.54 M2176.66 157.29 Q2176.61 153.795 2174.69 151.712 Q2172.79 149.628 2169.64 149.628 Q2166.08 149.628 2163.93 151.642 Q2161.8 153.656 2161.47 157.314 L2176.66 157.29 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2197.17 159.536 Q2192.01 159.536 2190.01 160.716 Q2188.02 161.897 2188.02 164.744 Q2188.02 167.013 2189.51 168.355 Q2191.01 169.675 2193.58 169.675 Q2197.12 169.675 2199.25 167.175 Q2201.4 164.651 2201.4 160.485 L2201.4 159.536 L2197.17 159.536 M2205.66 157.777 L2205.66 172.568 L2201.4 172.568 L2201.4 168.633 Q2199.94 170.994 2197.77 172.128 Q2195.59 173.239 2192.44 173.239 Q2188.46 173.239 2186.1 171.017 Q2183.76 168.772 2183.76 165.022 Q2183.76 160.647 2186.68 158.425 Q2189.62 156.202 2195.43 156.202 L2201.4 156.202 L2201.4 155.786 Q2201.4 152.846 2199.46 151.249 Q2197.54 149.628 2194.04 149.628 Q2191.82 149.628 2189.71 150.161 Q2187.61 150.693 2185.66 151.758 L2185.66 147.823 Q2188 146.92 2190.2 146.48 Q2192.4 146.017 2194.48 146.017 Q2200.11 146.017 2202.88 148.934 Q2205.66 151.851 2205.66 157.777 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2231.68 156.92 L2231.68 172.568 L2227.42 172.568 L2227.42 157.059 Q2227.42 153.378 2225.99 151.55 Q2224.55 149.721 2221.68 149.721 Q2218.23 149.721 2216.24 151.92 Q2214.25 154.119 2214.25 157.915 L2214.25 172.568 L2209.97 172.568 L2209.97 146.642 L2214.25 146.642 L2214.25 150.67 Q2215.78 148.332 2217.84 147.175 Q2219.92 146.017 2222.63 146.017 Q2227.1 146.017 2229.39 148.795 Q2231.68 151.55 2231.68 156.92 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip080)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" stroke-dasharray=\"16, 10\" points=\"\n",
                            "  1661.02,215.768 1806.31,215.768 \n",
                            "  \"/>\n",
                            "<path clip-path=\"url(#clip080)\" d=\"M 0 0 M1837.93 199.761 L1837.93 207.122 L1846.71 207.122 L1846.71 210.432 L1837.93 210.432 L1837.93 224.506 Q1837.93 227.678 1838.79 228.581 Q1839.67 229.483 1842.33 229.483 L1846.71 229.483 L1846.71 233.048 L1842.33 233.048 Q1837.4 233.048 1835.53 231.219 Q1833.65 229.368 1833.65 224.506 L1833.65 210.432 L1830.53 210.432 L1830.53 207.122 L1833.65 207.122 L1833.65 199.761 L1837.93 199.761 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1866.2 211.104 Q1865.48 210.687 1864.62 210.502 Q1863.79 210.294 1862.77 210.294 Q1859.16 210.294 1857.22 212.655 Q1855.29 214.993 1855.29 219.391 L1855.29 233.048 L1851.01 233.048 L1851.01 207.122 L1855.29 207.122 L1855.29 211.15 Q1856.64 208.789 1858.79 207.655 Q1860.94 206.497 1864.02 206.497 Q1864.46 206.497 1864.99 206.567 Q1865.53 206.613 1866.17 206.729 L1866.2 211.104 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1870.22 222.817 L1870.22 207.122 L1874.48 207.122 L1874.48 222.655 Q1874.48 226.335 1875.92 228.187 Q1877.35 230.016 1880.22 230.016 Q1883.67 230.016 1885.66 227.817 Q1887.68 225.618 1887.68 221.821 L1887.68 207.122 L1891.94 207.122 L1891.94 233.048 L1887.68 233.048 L1887.68 229.067 Q1886.13 231.428 1884.07 232.585 Q1882.03 233.719 1879.32 233.719 Q1874.85 233.719 1872.54 230.942 Q1870.22 228.164 1870.22 222.817 M1880.94 206.497 L1880.94 206.497 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1918.58 219.02 L1918.58 221.104 L1899 221.104 Q1899.28 225.502 1901.64 227.817 Q1904.02 230.108 1908.26 230.108 Q1910.71 230.108 1913 229.506 Q1915.32 228.905 1917.59 227.701 L1917.59 231.729 Q1915.29 232.701 1912.89 233.21 Q1910.48 233.719 1908 233.719 Q1901.8 233.719 1898.16 230.108 Q1894.55 226.497 1894.55 220.34 Q1894.55 213.974 1897.98 210.247 Q1901.43 206.497 1907.26 206.497 Q1912.49 206.497 1915.53 209.877 Q1918.58 213.233 1918.58 219.02 M1914.32 217.77 Q1914.28 214.275 1912.35 212.192 Q1910.46 210.108 1907.31 210.108 Q1903.74 210.108 1901.59 212.122 Q1899.46 214.136 1899.14 217.794 L1914.32 217.77 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M1958.3 212.099 Q1959.9 209.229 1962.12 207.863 Q1964.34 206.497 1967.35 206.497 Q1971.4 206.497 1973.6 209.345 Q1975.8 212.169 1975.8 217.4 L1975.8 233.048 L1971.52 233.048 L1971.52 217.539 Q1971.52 213.812 1970.2 212.007 Q1968.88 210.201 1966.17 210.201 Q1962.86 210.201 1960.94 212.4 Q1959.02 214.599 1959.02 218.395 L1959.02 233.048 L1954.74 233.048 L1954.74 217.539 Q1954.74 213.789 1953.42 212.007 Q1952.1 210.201 1949.34 210.201 Q1946.08 210.201 1944.16 212.423 Q1942.24 214.622 1942.24 218.395 L1942.24 233.048 L1937.96 233.048 L1937.96 207.122 L1942.24 207.122 L1942.24 211.15 Q1943.7 208.766 1945.73 207.632 Q1947.77 206.497 1950.57 206.497 Q1953.4 206.497 1955.36 207.933 Q1957.35 209.368 1958.3 212.099 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2002.45 219.02 L2002.45 221.104 L1982.86 221.104 Q1983.14 225.502 1985.5 227.817 Q1987.89 230.108 1992.12 230.108 Q1994.58 230.108 1996.87 229.506 Q1999.18 228.905 2001.45 227.701 L2001.45 231.729 Q1999.16 232.701 1996.75 233.21 Q1994.34 233.719 1991.87 233.719 Q1985.66 233.719 1982.03 230.108 Q1978.42 226.497 1978.42 220.34 Q1978.42 213.974 1981.84 210.247 Q1985.29 206.497 1991.13 206.497 Q1996.36 206.497 1999.39 209.877 Q2002.45 213.233 2002.45 219.02 M1998.19 217.77 Q1998.14 214.275 1996.22 212.192 Q1994.32 210.108 1991.17 210.108 Q1987.61 210.108 1985.46 212.122 Q1983.33 214.136 1983 217.794 L1998.19 217.77 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2018.7 220.016 Q2013.53 220.016 2011.54 221.196 Q2009.55 222.377 2009.55 225.224 Q2009.55 227.493 2011.03 228.835 Q2012.54 230.155 2015.11 230.155 Q2018.65 230.155 2020.78 227.655 Q2022.93 225.131 2022.93 220.965 L2022.93 220.016 L2018.7 220.016 M2027.19 218.257 L2027.19 233.048 L2022.93 233.048 L2022.93 229.113 Q2021.47 231.474 2019.3 232.608 Q2017.12 233.719 2013.97 233.719 Q2009.99 233.719 2007.63 231.497 Q2005.29 229.252 2005.29 225.502 Q2005.29 221.127 2008.21 218.905 Q2011.15 216.682 2016.96 216.682 L2022.93 216.682 L2022.93 216.266 Q2022.93 213.326 2020.99 211.729 Q2019.07 210.108 2015.57 210.108 Q2013.35 210.108 2011.24 210.641 Q2009.14 211.173 2007.19 212.238 L2007.19 208.303 Q2009.53 207.4 2011.73 206.96 Q2013.93 206.497 2016.01 206.497 Q2021.64 206.497 2024.41 209.414 Q2027.19 212.331 2027.19 218.257 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip080)\" d=\"M 0 0 M2053.21 217.4 L2053.21 233.048 L2048.95 233.048 L2048.95 217.539 Q2048.95 213.858 2047.52 212.03 Q2046.08 210.201 2043.21 210.201 Q2039.76 210.201 2037.77 212.4 Q2035.78 214.599 2035.78 218.395 L2035.78 233.048 L2031.5 233.048 L2031.5 207.122 L2035.78 207.122 L2035.78 211.15 Q2037.31 208.812 2039.37 207.655 Q2041.45 206.497 2044.16 206.497 Q2048.63 206.497 2050.92 209.275 Q2053.21 212.03 2053.21 217.4 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
                        ]
                    },
                    "execution_count": 26,
                    "metadata": {},
                    "output_type": "execute_result"
                }
            ],
            "source": [
                "w_agents = []\n",
                "grid_agents = collect(1000:1000:100000)\n",
                "mean_agents = zeros(length(grid_agents))\n",
                "std_agents = zeros(length(grid_agents))\n",
                "\n",
                "for (i, nb_agents) in enumerate(grid_agents)\n",
                "    push!(w_agents, rand(d, nb_agents))\n",
                "    mean_agents[i] = mean(w_agents[i])\n",
                "    std_agents[i] = std(w_agents[i])\n",
                "end\n",
                "\n",
                "CI = 1.960.*std_agents./sqrt.(grid_agents); #95% confidence interval. t-test is approximately a z-test because large number of agents.\n",
                "p0 = plot(grid_agents, mean_agents, ribbon = CI, label = \"approximate mean\")\n",
                "plot!(p0,[mean(w_true, weights(mass_true./sum(mass_true)))], linetype = :hline, label = \"true mean\", linestyle = :dash)"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "## Conclusion"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "When possible, simulating directly a distribution instead of using a panel is a good idea. [Young's method (2010)](https://ideas.repec.org/a/eee/dyncon/v34y2010i1p36-41.html)\n",
                "allows to do that, while preserving the mean of the true distribution."
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### References\n",
                "\n",
                "* Young, Eric R. \"Solving the incomplete markets model with aggregate uncertainty using the Krusell–Smith algorithm and non-stochastic simulations.\" Journal of Economic Dynamics and Control 34.1 (2010): 36-41."
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Appendix"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 27,
            "metadata": {
                "scrolled": true
            },
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": [
                        "Julia Version 1.5.1\n",
                        "Commit 697e782ab8 (2020-08-25 20:08 UTC)\n",
                        "Platform Info:\n",
                        "  OS: Linux (x86_64-pc-linux-gnu)\n",
                        "  CPU: Intel(R) Core(TM) i7-8850H CPU @ 2.60GHz\n",
                        "  WORD_SIZE: 64\n",
                        "  LIBM: libopenlibm\n",
                        "  LLVM: libLLVM-9.0.1 (ORCJIT, skylake)\n"
                    ]
                }
            ],
            "source": [
                "versioninfo()"
            ]
        },
        {
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "----\n",
                "\n",
                "Originally published at https://julienpascal.github.io/post/young_2010/ on January 18, 2021."
            ]
        }
    ],
    "metadata": {
        "kernelspec": {
            "display_name": "Julia 1.5.1",
            "language": "julia",
            "name": "julia-1.5"
        },
        "language_info": {
            "file_extension": ".jl",
            "mimetype": "application/julia",
            "name": "julia",
            "version": "1.5.1"
        }
    },
    "nbformat": 4,
    "nbformat_minor": 4
}