{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Replication of Mackowiak, Matejka and Wiederholt (2018)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "This example replicates [Mackowiak, Matejka and Wiederholt (2018)](https://www.sciencedirect.com/science/article/abs/pii/S002205311830139X) using the [DRIPs](https://github.com/afrouzi/DRIPs.jl) package."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "See [Afrouzi and Yang (2020)](http://www.afrouzi.com/dynamic_inattention.pdf) for background on the theory."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Contents\n",
    "* Ex. 1: AR(2) Process\n",
    "    * Initialization\n",
    "    * Replication of Figures (2) and (3)\n",
    "    * Measure Performance\n",
    "* Ex. 2: AR(3) and ARMA(2,1) Processes\n",
    "    * Solve and Measure Performance\n",
    "    * Replication of Figure (5)\n",
    "* Ex. 3: Price-setting with Rational Inattention\n",
    "    * The Case with No Strategic Complementarity\n",
    "    * The Case with Strategic Complementarity\n",
    "    * Replication of Figure (6)\n",
    "* Ex. 4: Business Cycle Model with News Shocks\n",
    "    * Setup\n",
    "    * Initialization\n",
    "    * Solve and Measure Performance\n",
    "    * Replication of Figure (7)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Ex. 1: AR(2) Process\n",
    "In this example, authors assume that the optimal action follows an AR(2) process,\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    x_t = \\phi_1 x_{t-1} + \\phi_2 x_{t-2} + \\theta_0 \\varepsilon_t\n",
    "\\end{aligned}\n",
    "$$\n",
    "Then, we can write a state-space form as:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "        \\left[\\begin{array}{c} x_t \\\\ x_{t-1} \\end{array}\\right]\n",
    "        & =\n",
    "       \\underset{\\mathbf{A}}{\\underbrace{\\left[\\begin{array}{cc}\n",
    "            \\phi_1 & \\phi_2 \\\\\n",
    "            1 & 0\\end{array}\\right]}}\\,\n",
    "            \\left[\\begin{array}{c} x_{t-1} \\\\ x_{t-2} \\end{array}\\right]\n",
    "        + \\underset{\\mathbf{Q}}{\\underbrace{\\left[\\begin{array}{c}\n",
    "            \\theta_0 \\\\\n",
    "            0\\end{array}\\right]}}\\, \\varepsilon_t\n",
    "\\end{aligned}\n",
    "$$\n",
    "We now characterize the optimal signal, $S_{t} = h_1 X_t + h_2 X_{t-1} + \\psi_t$, as a function of $\\phi_2$ and the capacity for information processing ($\\kappa$)."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Initialization\n",
    "Include the package:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using DRIPs, LinearAlgebra;"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "Assign value to deep parameters and define the structure of the problem"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "β   = 1.0   ; # Time preference\n",
    "θ0  = 1.0   ;\n",
    "\n",
    "ϕ2_seq  = 0:0.02:0.9        ;      # sequence of values for the AR(2) parameter\n",
    "n_ϕ     = length(ϕ2_seq)    ;\n",
    "\n",
    "κ_seq   = 0.008:0.01:3.5    ;      # sequence of values for the information processing capacity\n",
    "n_κ     = length(κ_seq)     ;\n",
    "\n",
    "H   = [1; 0]    ;\n",
    "Q   = [θ0 ; 0]    ;"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Replication of Figures (2) and (3)\n",
    "Solve for different values of $\\phi_2$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "κ   = 0.2   ; # fix κ for this exercise so we can vary ϕ2\n",
    "\n",
    "h1  = zeros(n_ϕ,1)    ;\n",
    "h2  = zeros(n_ϕ,1)    ;\n",
    "h2norm = zeros(n_ϕ,1) ;\n",
    "\n",
    "for i in 1:n_ϕ\n",
    "    ϕ2  = ϕ2_seq[i] ;\n",
    "    ϕ1  = 0.9 - ϕ2 ;\n",
    "    A   = [ϕ1 ϕ2 ; 1.0 0.0] ;\n",
    "\n",
    "    ex1a = Drip(κ,β,A,Q,H,fcap=true);\n",
    "\n",
    "    h1[i] = ex1a.ss.Y[1]\n",
    "    h2[i] = ex1a.ss.Y[2]\n",
    "    h2norm[i] = ex1a.ss.Y[2]/ex1a.ss.Y[1] # normalize the first signal weight h1 to one\n",
    "end"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "Here is the replication of Figure (2):"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=1}",
      "image/png": "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",
      "text/html": [
       "<img src=\"data:image/png;base64,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\" />"
      ],
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"216pt\" version=\"1.1\" viewBox=\"0 0 468 216\" width=\"468pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-09-27T00:17:36.947469</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 216 \n",
       "L 468 216 \n",
       "L 468 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 33.363828 186.093965 \n",
       "L 459.116458 186.093965 \n",
       "L 459.116458 15.962883 \n",
       "L 33.363828 15.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path clip-path=\"url(#p92bf2fae9a)\" d=\"M 33.363828 181.139984 \n",
       "L 42.824997 174.841344 \n",
       "L 52.286167 168.560205 \n",
       "L 61.747336 162.29862 \n",
       "L 71.208506 156.058815 \n",
       "L 80.669675 149.843214 \n",
       "L 90.130845 143.654472 \n",
       "L 99.592014 137.495502 \n",
       "L 109.053184 131.383855 \n",
       "L 118.514354 125.293825 \n",
       "L 127.975523 119.244281 \n",
       "L 137.436693 113.239657 \n",
       "L 146.897862 107.284934 \n",
       "L 156.359032 101.385727 \n",
       "L 165.820201 95.548398 \n",
       "L 175.281371 89.780186 \n",
       "L 184.742541 84.089369 \n",
       "L 194.20371 78.48546 \n",
       "L 203.66488 72.979447 \n",
       "L 213.126049 67.584089 \n",
       "L 222.587219 62.314285 \n",
       "L 232.048388 57.184218 \n",
       "L 241.509558 52.222323 \n",
       "L 250.970727 47.448776 \n",
       "L 260.431897 42.892995 \n",
       "L 269.893067 38.590423 \n",
       "L 279.354236 34.584052 \n",
       "L 288.815406 30.930868 \n",
       "L 298.276575 27.687889 \n",
       "L 307.737745 24.937928 \n",
       "L 317.198914 22.790144 \n",
       "L 326.660084 21.349452 \n",
       "L 336.121254 20.777914 \n",
       "L 345.582423 21.282036 \n",
       "L 355.043593 23.081959 \n",
       "L 364.504762 26.426383 \n",
       "L 373.965932 31.665434 \n",
       "L 383.427101 39.057687 \n",
       "L 392.888271 48.921337 \n",
       "L 402.34944 61.307854 \n",
       "L 411.81061 76.258373 \n",
       "L 421.27178 93.555843 \n",
       "L 430.732949 112.937676 \n",
       "L 440.194119 134.107548 \n",
       "L 449.655288 156.894734 \n",
       "L 459.116458 181.278935 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -2.5 \n",
       "\" id=\"m7e9577de87\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.363828\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(27.763828 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"80.669675\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathregular{0.1}$ -->\n",
       "      <g transform=\"translate(75.069675 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"127.975523\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathregular{0.2}$ -->\n",
       "      <g transform=\"translate(122.585523 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(89.910156 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"175.281371\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathregular{0.3}$ -->\n",
       "      <g transform=\"translate(169.681371 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"222.587219\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathregular{0.4}$ -->\n",
       "      <g transform=\"translate(216.987219 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"269.893067\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathregular{0.5}$ -->\n",
       "      <g transform=\"translate(264.293067 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"317.198914\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathregular{0.6}$ -->\n",
       "      <g transform=\"translate(311.598914 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"364.504762\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathregular{0.7}$ -->\n",
       "      <g transform=\"translate(359.184762 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(87.660156 0.78125)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"411.81061\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathregular{0.8}$ -->\n",
       "      <g transform=\"translate(406.31561 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(92.785156 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"459.116458\" xlink:href=\"#m7e9577de87\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathregular{0.9}$ -->\n",
       "      <g transform=\"translate(453.516458 194.912872)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- $\\phi_2$ -->\n",
       "     <g transform=\"translate(240.999123 208.209702)scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path d=\"M 39.203125 64.96875 \n",
       "C 37.203125 63.75 34.5 62.546875 31.40625 61.34375 \n",
       "L 29.40625 47.390625 \n",
       "C 26.296875 46.59375 23.296875 45.484375 20.203125 43.96875 \n",
       "C 8.296875 38.15625 1.703125 27.90625 1.703125 15.375 \n",
       "C 1.703125 4.625 8 -1 19.703125 -1 \n",
       "C 20.296875 -1 20.90625 -1 21.5 -0.890625 \n",
       "C 20.40625 -6.8125 18.703125 -15.15625 16.90625 -23.28125 \n",
       "L 16.09375 -27 \n",
       "L 16.796875 -27.609375 \n",
       "C 18.90625 -26.90625 20.90625 -26.40625 24.09375 -25.890625 \n",
       "L 28.203125 0.015625 \n",
       "C 33 1.109375 37.703125 3.015625 41.59375 5.625 \n",
       "C 50.5 11.5625 56.796875 22.984375 56.796875 33.328125 \n",
       "C 56.796875 42.765625 49.796875 48.5 38.40625 48.5 \n",
       "C 37.796875 48.5 37.203125 48.5 36.59375 48.390625 \n",
       "C 37.796875 54.921875 38.796875 59.03125 40.296875 63.453125 \n",
       "z\n",
       "M 49.203125 31.828125 \n",
       "C 49.203125 22.09375 43.59375 11.453125 36.59375 6.140625 \n",
       "C 34.5 4.625 31.796875 3.53125 28.703125 3.015625 \n",
       "C 28.90625 4.328125 29.203125 5.53125 29.296875 6.03125 \n",
       "L 31.09375 16.671875 \n",
       "C 31.90625 21.296875 32.59375 25.203125 35 39.25 \n",
       "L 35.90625 44.578125 \n",
       "C 44.40625 43.875 49.203125 39.453125 49.203125 31.828125 \n",
       "z\n",
       "M 9.296875 15.265625 \n",
       "C 9.296875 26.515625 16.296875 38.765625 24 42.984375 \n",
       "C 25.203125 43.59375 26.90625 44.09375 28.90625 44.390625 \n",
       "L 22.09375 2.921875 \n",
       "C 13 3.921875 9.296875 8.046875 9.296875 15.265625 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-102\"/>\n",
       "       <path d=\"M 1.59375 2.5 \n",
       "L 1.59375 0 \n",
       "C 20.296875 0 20.296875 0 23.90625 0 \n",
       "C 27.5 0 27.5 0 46.796875 0 \n",
       "C 46.59375 1.953125 46.59375 2.90625 46.59375 4.203125 \n",
       "C 46.59375 5.4375 46.59375 6.359375 46.796875 8.421875 \n",
       "C 35.296875 8.421875 30.703125 8.421875 12.203125 8.421875 \n",
       "L 30.40625 27.515625 \n",
       "C 40.09375 37.71875 43.09375 43.171875 43.09375 50.59375 \n",
       "C 43.09375 61.96875 35.296875 69 22.59375 69 \n",
       "C 15.40625 69 10.5 67 5.59375 62.015625 \n",
       "L 3.90625 48.421875 \n",
       "L 6.796875 48.421875 \n",
       "L 8.09375 53.015625 \n",
       "C 9.703125 58.796875 13.296875 61.296875 20 61.296875 \n",
       "C 28.59375 61.296875 34.09375 55.890625 34.09375 47.421875 \n",
       "C 34.09375 39.921875 29.90625 32.546875 18.59375 20.5625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-50\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-102\"/>\n",
       "      <use transform=\"translate(57.433672 -17.441431)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 2.5 0 \n",
       "\" id=\"m59924859a3\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.363828\" xlink:href=\"#m59924859a3\" y=\"181.278935\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(18.663828 183.938388)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.363828\" xlink:href=\"#m59924859a3\" y=\"135.034461\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathregular{0.1}$ -->\n",
       "      <g transform=\"translate(18.663828 137.693914)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.363828\" xlink:href=\"#m59924859a3\" y=\"88.789988\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathregular{0.2}$ -->\n",
       "      <g transform=\"translate(19.083828 91.449441)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(89.910156 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.363828\" xlink:href=\"#m59924859a3\" y=\"42.545514\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathregular{0.3}$ -->\n",
       "      <g transform=\"translate(18.663828 45.204967)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- $h_2$(with $h_1$ normalized to 1) -->\n",
       "     <g transform=\"translate(11.573488 167.0136)rotate(-90)scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path d=\"M 23.59375 71.671875 \n",
       "L 22.40625 72.765625 \n",
       "C 17.203125 70.1875 13.59375 69.28125 6.40625 68.59375 \n",
       "L 6 66.5 \n",
       "L 10.796875 66.5 \n",
       "C 13.203125 66.5 14.203125 65.796875 14.203125 64.109375 \n",
       "C 14.203125 63.3125 14.09375 62.421875 14 61.71875 \n",
       "L 9.796875 38.46875 \n",
       "C 7 23.4375 3.09375 6.34375 1 0.09375 \n",
       "L 1.703125 -1 \n",
       "L 8.59375 0.59375 \n",
       "C 10.203125 12.078125 11.90625 18.15625 14.796875 23.4375 \n",
       "C 19.203125 31.53125 29.59375 41.203125 33.796875 41.203125 \n",
       "C 35.09375 41.203125 36 40.3125 36 39.015625 \n",
       "C 36 37.21875 35.296875 33.421875 34.5 30.125 \n",
       "L 29.40625 10.578125 \n",
       "C 28.5 6.96875 28.09375 4.78125 28.09375 2.890625 \n",
       "C 28.09375 0.484375 29.203125 -1 31.09375 -1 \n",
       "C 33.703125 -1 37.296875 1.078125 47.09375 8.375 \n",
       "L 46.09375 10.171875 \n",
       "L 43.5 8.484375 \n",
       "C 40.59375 6.578125 38.40625 5.484375 37.40625 5.484375 \n",
       "C 36.703125 5.484375 36.09375 6.375 36.09375 7.46875 \n",
       "C 36.09375 8.46875 36.203125 9.28125 36.796875 11.46875 \n",
       "L 43.203125 37.015625 \n",
       "C 43.796875 39.609375 44.296875 42.703125 44.296875 44.390625 \n",
       "C 44.296875 46.609375 43.203125 48 41.40625 48 \n",
       "C 38 48 31.90625 44.703125 25.59375 39.421875 \n",
       "C 22.09375 36.515625 20.40625 34.71875 15.796875 28.828125 \n",
       "L 13.796875 26.34375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-104\"/>\n",
       "       <path d=\"M 30.09375 -19.4375 \n",
       "C 22.90625 -10.515625 20.296875 -5.71875 17.703125 3.3125 \n",
       "C 15.59375 10.515625 14.59375 18.140625 14.59375 26.65625 \n",
       "C 14.59375 34.96875 15.59375 42.078125 17.5 48.59375 \n",
       "C 20.09375 56.90625 22.796875 61.625 30.09375 70.140625 \n",
       "L 28.203125 72.75 \n",
       "C 17.796875 63.421875 13.703125 57.921875 9.90625 48.09375 \n",
       "C 7.296875 41.375 6 34.265625 6 26.65625 \n",
       "C 6 15.9375 8.5 5.8125 13.296875 -3.203125 \n",
       "C 16.796875 -9.921875 20 -13.828125 28.203125 -21.546875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-40\"/>\n",
       "       <path d=\"M 41.296875 47 \n",
       "C 33.09375 27.9375 31.59375 24.546875 25.40625 10.578125 \n",
       "L 17 38.1875 \n",
       "C 16.703125 39.09375 16.59375 39.890625 16.59375 40.6875 \n",
       "C 16.59375 42.1875 17.90625 43 20.40625 43 \n",
       "L 24.40625 43 \n",
       "L 24.40625 45.8125 \n",
       "C 14.5 45.8125 14.5 45.8125 12.5 45.8125 \n",
       "C 10.5 45.8125 10.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43.203125 \n",
       "L 3.40625 43 \n",
       "C 6.203125 42.796875 7.5 40.8125 10 33.03125 \n",
       "L 20.203125 -0.5 \n",
       "L 24.90625 -0.5 \n",
       "L 34.703125 22.453125 \n",
       "C 35.203125 23.65625 36.296875 26.046875 37.90625 29.4375 \n",
       "L 39.90625 33.625 \n",
       "L 53.5 -0.5 \n",
       "L 58.09375 -0.5 \n",
       "C 58.796875 1.59375 59.59375 3.890625 60.40625 6.078125 \n",
       "C 62.40625 11.984375 64.59375 18.15625 65 18.765625 \n",
       "L 71.796875 34.3125 \n",
       "C 74.796875 41.015625 76 42.703125 78.203125 43 \n",
       "L 80.796875 43.203125 \n",
       "L 80.796875 45.8125 \n",
       "C 72.59375 45.8125 72.59375 45.8125 71 45.8125 \n",
       "C 69.40625 45.8125 69.40625 45.8125 61.203125 45.8125 \n",
       "L 61.203125 43 \n",
       "L 64.59375 43 \n",
       "C 67.09375 43 68.5 41.796875 68.5 39.984375 \n",
       "C 68.5 38.890625 68.296875 37.6875 67.796875 36.390625 \n",
       "L 62.796875 22.390625 \n",
       "C 62 20.1875 61.203125 18.171875 58 9.96875 \n",
       "L 46.5 38.90625 \n",
       "C 45.09375 42.296875 44.40625 44.296875 43.59375 47 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-119\"/>\n",
       "       <path d=\"M 18.796875 46.765625 \n",
       "L 17.90625 47.171875 \n",
       "C 12.796875 45.0625 7.59375 43.640625 2.296875 43.046875 \n",
       "L 2.296875 40.25 \n",
       "L 6 40.25 \n",
       "C 10 40.25 10.40625 39.546875 10.40625 32.890625 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.171875 \n",
       "z\n",
       "M 14.203125 69 \n",
       "C 11.203125 69 8.59375 66.390625 8.59375 63.375 \n",
       "C 8.59375 60.46875 11.203125 57.875 14.09375 57.875 \n",
       "C 17 57.875 19.703125 60.46875 19.703125 63.375 \n",
       "C 19.703125 66.1875 17 69 14.203125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-105\"/>\n",
       "       <path d=\"M 9.796875 38.6875 \n",
       "L 9.796875 9.671875 \n",
       "C 9.796875 2.21875 13.09375 -1 20.796875 -1 \n",
       "C 23.09375 -1 25.5 -0.5 26.09375 0.203125 \n",
       "L 30.90625 5.515625 \n",
       "L 29.59375 7.234375 \n",
       "C 27.09375 5.8125 25.59375 5.3125 23.703125 5.3125 \n",
       "C 19.796875 5.3125 18.203125 7.34375 18.203125 12.3125 \n",
       "L 18.203125 38.890625 \n",
       "L 31 38.890625 \n",
       "L 31.90625 44 \n",
       "L 18.203125 44 \n",
       "L 18.203125 47.75 \n",
       "C 18.203125 51.890625 18.5 55.421875 19.296875 61.734375 \n",
       "L 18.09375 62.828125 \n",
       "C 15.703125 61.328125 12.703125 60.03125 9.59375 59.03125 \n",
       "C 9.90625 56.015625 10 54.109375 10 51.109375 \n",
       "L 10 44.09375 \n",
       "L 2.203125 40.59375 \n",
       "L 2.203125 38.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-116\"/>\n",
       "       <path d=\"M 0.703125 66.375 \n",
       "L 6.296875 66.375 \n",
       "C 8.09375 66.375 8.796875 65.265625 8.796875 62.25 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "L 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 72.078125 \n",
       "L 16.296875 72.890625 \n",
       "C 11.90625 71.1875 8.59375 70.375 0.703125 69.171875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-104\"/>\n",
       "       <path d=\"M 6.703125 56 \n",
       "L 7.703125 56 \n",
       "L 20.59375 61.8125 \n",
       "C 20.703125 61.90625 20.796875 61.90625 20.90625 61.90625 \n",
       "C 21.5 61.90625 21.703125 61.015625 21.703125 58.609375 \n",
       "L 21.703125 9.578125 \n",
       "C 21.703125 4.3125 20.59375 3.203125 15.203125 3.203125 \n",
       "L 9.59375 3.203125 \n",
       "L 9.59375 0 \n",
       "C 25 0 25 0 26.09375 0 \n",
       "C 27.40625 0 29.59375 0 33 0 \n",
       "C 34.203125 0 37.703125 0 41.796875 0 \n",
       "L 41.796875 3.203125 \n",
       "L 36.59375 3.203125 \n",
       "C 31.09375 3.203125 30.09375 4.3125 30.09375 9.5625 \n",
       "L 30.09375 69.421875 \n",
       "L 28.703125 69.921875 \n",
       "C 22.203125 66.515625 15.09375 63.515625 6 60.3125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-49\"/>\n",
       "       <path d=\"M 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 46.59375 \n",
       "L 16.296875 47 \n",
       "C 11.203125 44.890625 6 43.484375 0.703125 42.890625 \n",
       "L 0.703125 40.078125 \n",
       "L 4.40625 40.078125 \n",
       "C 8.40625 40.078125 8.796875 39.375 8.796875 32.71875 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-110\"/>\n",
       "       <path d=\"M 27.90625 47 \n",
       "C 13.296875 47 3.203125 36.671875 3.203125 21.75 \n",
       "C 3.203125 7.609375 12.09375 -2 25 -2 \n",
       "C 40.40625 -2 51.40625 8.71875 51.40625 23.75 \n",
       "C 51.40625 37.28125 41.59375 47 27.90625 47 \n",
       "z\n",
       "M 26.09375 43.6875 \n",
       "C 35.296875 43.6875 42.09375 33.671875 42.09375 20.046875 \n",
       "C 42.09375 8.515625 37 1.296875 28.90625 1.296875 \n",
       "C 19.09375 1.296875 12.5 10.921875 12.5 25.15625 \n",
       "C 12.5 37.171875 17.296875 43.6875 26.09375 43.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-111\"/>\n",
       "       <path d=\"M 2.296875 40.078125 \n",
       "L 6 40.078125 \n",
       "C 10 40.078125 10.40625 39.375 10.40625 32.71875 \n",
       "L 10.40625 10.046875 \n",
       "C 10.40625 3.703125 10.09375 3 6.703125 3 \n",
       "L 2.09375 3 \n",
       "L 2.09375 -0.109375 \n",
       "C 9.296875 -0.109375 11.90625 -0.109375 14.40625 -0.109375 \n",
       "C 16.40625 -0.109375 16.40625 -0.109375 28.703125 -0.109375 \n",
       "L 28.703125 3 \n",
       "L 23.5 3 \n",
       "C 19 3 18.796875 3.296875 18.796875 9.96875 \n",
       "L 18.796875 27.359375 \n",
       "C 18.796875 33.421875 22.796875 38.484375 27.703125 38.484375 \n",
       "C 30.703125 38.484375 32.796875 37.078125 34.40625 33.890625 \n",
       "L 36.5 33.890625 \n",
       "L 37.40625 45.890625 \n",
       "C 36.296875 46.59375 34.5 47 32.703125 47 \n",
       "C 29.703125 47 26.5 45.390625 24.40625 42.890625 \n",
       "L 18.796875 36.28125 \n",
       "L 18.796875 46.59375 \n",
       "L 17.90625 47 \n",
       "C 12.796875 44.890625 7.59375 43.484375 2.296875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-114\"/>\n",
       "       <path d=\"M 1.796875 40.078125 \n",
       "L 5.5 40.078125 \n",
       "C 9.5 40.078125 9.90625 39.375 9.90625 32.71875 \n",
       "L 9.90625 10.046875 \n",
       "C 9.90625 3.703125 9.59375 3 6.203125 3 \n",
       "L 1.59375 3 \n",
       "L 1.59375 -0.109375 \n",
       "C 11.203125 -0.109375 11.5 -0.109375 14.296875 -0.109375 \n",
       "C 17.09375 -0.109375 19.703125 -0.109375 26.203125 -0.109375 \n",
       "L 26.203125 2.796875 \n",
       "L 22 3.203125 \n",
       "C 18.59375 3.203125 18.296875 3.90625 18.296875 10.21875 \n",
       "L 18.296875 31.46875 \n",
       "C 18.296875 35.96875 24.90625 40.875 30.90625 40.875 \n",
       "C 36.296875 40.875 40 35.734375 40 28.09375 \n",
       "L 40 10.046875 \n",
       "C 40 3.703125 39.703125 3 36.296875 3 \n",
       "L 31.703125 3 \n",
       "L 31.703125 -0.109375 \n",
       "C 41.703125 -0.109375 41.703125 -0.109375 44.203125 -0.109375 \n",
       "C 46.703125 -0.109375 46.703125 -0.109375 56.703125 -0.109375 \n",
       "L 56.703125 3 \n",
       "L 52.09375 3 \n",
       "C 48.703125 3 48.40625 3.703125 48.40625 10.046875 \n",
       "L 48.40625 31.421875 \n",
       "C 48.40625 35.9375 55 40.875 61 40.875 \n",
       "C 66.40625 40.875 70.09375 35.796875 70.09375 28.21875 \n",
       "L 70.09375 -0.109375 \n",
       "C 76.203125 -0.109375 76.296875 -0.109375 78 -0.109375 \n",
       "C 79.296875 -0.109375 79.296875 -0.109375 86.90625 -0.109375 \n",
       "L 86.90625 3 \n",
       "L 82.203125 3 \n",
       "C 78.796875 3 78.5 3.703125 78.5 10.046875 \n",
       "L 78.5 30.78125 \n",
       "C 78.5 40.75 72.703125 47 63.5 47 \n",
       "C 60 47 57.09375 46.09375 55.296875 44.484375 \n",
       "L 47.703125 37.6875 \n",
       "C 44.5 44.28125 40.40625 47 33.5 47 \n",
       "C 29.796875 47 27 46.09375 25.203125 44.484375 \n",
       "L 18.296875 38.078125 \n",
       "L 18.296875 46.59375 \n",
       "L 17.40625 47 \n",
       "C 12.296875 44.890625 7.09375 43.484375 1.796875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-109\"/>\n",
       "       <path d=\"M 32.40625 8.40625 \n",
       "L 31.90625 -0.015625 \n",
       "C 38.40625 -0.015625 38.40625 -0.015625 39.703125 -0.015625 \n",
       "C 40.203125 -0.015625 42.703125 -0.015625 47.09375 -0.015625 \n",
       "L 47.09375 3 \n",
       "L 43.203125 3 \n",
       "C 40.796875 3 40.40625 3.8125 40.40625 8.71875 \n",
       "L 40.40625 27.046875 \n",
       "C 40.40625 41.6875 36.203125 47 24.59375 47 \n",
       "C 20.296875 47 16.296875 45.890625 12.5 43.609375 \n",
       "L 7.203125 40.390625 \n",
       "L 7.203125 33.921875 \n",
       "L 9.796875 33.21875 \n",
       "L 11.09375 36.296875 \n",
       "C 13.203125 40.984375 14.203125 41.6875 18.796875 41.6875 \n",
       "C 28.203125 41.6875 32.09375 37.984375 32.40625 28.9375 \n",
       "L 22.5 27.125 \n",
       "C 8.90625 24.640625 3.203125 19.953125 3.203125 11.28125 \n",
       "C 3.203125 3.5 7.90625 -1 15.796875 -1 \n",
       "C 17.59375 -1 19.296875 -0.703125 20 -0.203125 \n",
       "z\n",
       "M 32.40625 12.59375 \n",
       "C 29.5 8.5 23.203125 4.71875 19.296875 4.71875 \n",
       "C 15.296875 4.71875 11.796875 8.40625 11.796875 12.6875 \n",
       "C 11.796875 16.375 13.796875 19.859375 16.796875 21.75 \n",
       "C 19.296875 23.25 24.796875 24.640625 32.40625 25.75 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-97\"/>\n",
       "       <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.15625 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-108\"/>\n",
       "       <path d=\"M 45.5 43.1875 \n",
       "L 45.5 46 \n",
       "C 38.5 46 35.5 46 31.703125 46 \n",
       "L 6.90625 46 \n",
       "C 6.703125 41 6.59375 39.828125 6 33.046875 \n",
       "L 9 33.046875 \n",
       "L 10.203125 39.796875 \n",
       "C 10.59375 41.890625 12.40625 42.390625 19.796875 42.390625 \n",
       "L 34.09375 42.390625 \n",
       "C 32 39.109375 30.296875 36.828125 27.59375 33.453125 \n",
       "L 10.59375 12.40625 \n",
       "C 8.203125 9.515625 6.796875 7.828125 1.59375 1.984375 \n",
       "L 2.203125 0 \n",
       "C 12.59375 0 13.203125 0 17.5 0 \n",
       "L 45.09375 0 \n",
       "C 45.09375 2.265625 45.296875 4.640625 46 9.40625 \n",
       "L 46.59375 14.046875 \n",
       "L 43.59375 14.046875 \n",
       "L 41.796875 6.203125 \n",
       "C 41.40625 4.40625 37.203125 3.703125 27.59375 3.703125 \n",
       "L 14.09375 3.703125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-122\"/>\n",
       "       <path d=\"M 43.703125 6.984375 \n",
       "L 42.40625 7.984375 \n",
       "C 36 4.203125 33.703125 3.3125 29.40625 3.3125 \n",
       "C 22.90625 3.3125 17.5 6.21875 14.703125 11.109375 \n",
       "C 12.796875 14.390625 12.09375 17.203125 11.90625 23 \n",
       "L 26.5 23 \n",
       "C 33.40625 23 37.703125 23 44.59375 24.125 \n",
       "C 44.703125 25.53125 44.796875 26.453125 44.796875 27.671875 \n",
       "C 44.796875 39.375 37.40625 47 26.203125 47 \n",
       "C 22.5 47 18.203125 45.6875 14.09375 43.28125 \n",
       "C 5.90625 38.578125 2.59375 32.359375 2.59375 21.9375 \n",
       "C 2.59375 15.625 4.09375 10.21875 6.796875 6.40625 \n",
       "C 10.796875 1.109375 17.5 -2 25 -2 \n",
       "C 28.703125 -2 32.40625 -1.203125 36.5 0.578125 \n",
       "C 39.203125 1.6875 41.296875 2.984375 41.703125 3.59375 \n",
       "z\n",
       "M 35.90625 26.40625 \n",
       "C 30.703125 26.40625 28.296875 26.40625 24.703125 26.40625 \n",
       "C 20.09375 26.40625 17.5 26.40625 12.09375 26.90625 \n",
       "C 12.09375 31.671875 12.5 33.890625 13.796875 36.515625 \n",
       "C 15.90625 40.96875 20.203125 43.6875 25 43.6875 \n",
       "C 28.296875 43.6875 30.90625 42.359375 32.703125 39.59375 \n",
       "C 34.90625 36.234375 35.59375 33.265625 35.90625 26.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-101\"/>\n",
       "       <path d=\"M 41.203125 43.78125 \n",
       "C 35.59375 46.1875 32.796875 47 29.296875 47 \n",
       "C 26.59375 47 24.203125 46.390625 21.703125 45.109375 \n",
       "L 12.90625 40.515625 \n",
       "C 7.203125 37.515625 3.5 30.234375 3.5 21.75 \n",
       "C 3.5 13.765625 6.203125 7.1875 11.09375 3.1875 \n",
       "C 14.5 0.296875 19.203125 -1 25.703125 -1 \n",
       "C 27.703125 -1 30 -0.59375 30.5 -0.203125 \n",
       "L 41.59375 9.109375 \n",
       "L 41.09375 -0.109375 \n",
       "C 46 -0.109375 47.59375 -0.109375 48.796875 -0.109375 \n",
       "C 49.59375 -0.109375 51 -0.109375 53.09375 -0.109375 \n",
       "C 53.796875 -0.109375 55.796875 -0.109375 57.90625 -0.109375 \n",
       "L 57.90625 3 \n",
       "L 53.296875 3 \n",
       "C 49.90625 3 49.59375 3.703125 49.59375 10.046875 \n",
       "L 49.59375 71.984375 \n",
       "L 48.703125 72.796875 \n",
       "C 44.296875 71.09375 41 70.28125 33.09375 69.078125 \n",
       "L 33.09375 66.28125 \n",
       "L 38.703125 66.28125 \n",
       "C 40.5 66.28125 41.203125 65.171875 41.203125 62.15625 \n",
       "z\n",
       "M 41.203125 22.25 \n",
       "C 41.203125 15.765625 41 14.78125 39.703125 12.484375 \n",
       "C 36.90625 7.796875 32 4.71875 27.296875 4.71875 \n",
       "C 18.5 4.71875 12.203125 13.1875 12.203125 25.046875 \n",
       "C 12.203125 35.90625 17.59375 42.28125 26.59375 42.28125 \n",
       "C 30.40625 42.28125 34.40625 40.984375 37.90625 38.59375 \n",
       "C 40 37.203125 41.203125 35.90625 41.203125 35.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-100\"/>\n",
       "       <path d=\"M 5.09375 -21.546875 \n",
       "C 12 -15.03125 14.90625 -11.71875 18 -6.8125 \n",
       "C 24.09375 2.90625 27.296875 14.53125 27.296875 26.546875 \n",
       "C 27.296875 34.265625 26 41.375 23.40625 48.09375 \n",
       "C 19.59375 57.8125 15.5 63.328125 5.09375 72.75 \n",
       "L 3.203125 70.140625 \n",
       "C 10.5 61.515625 13.203125 56.8125 15.703125 48.59375 \n",
       "C 17.703125 42.078125 18.703125 34.96875 18.703125 26.65625 \n",
       "C 18.703125 18.140625 17.703125 10.515625 15.59375 3.3125 \n",
       "C 13 -5.71875 10.40625 -10.515625 3.203125 -19.4375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-41\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-104\"/>\n",
       "      <use transform=\"translate(51.058515 -17.441431)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "      <use transform=\"translate(89.414406 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "      <use transform=\"translate(122.589636 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(205.677729 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(234.66809 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(267.145178 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(351.777286 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-104\"/>\n",
       "      <use transform=\"translate(402.835801 -18.577338)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "      <use transform=\"translate(466.098292 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(524.080353 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(578.475933 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(617.827829 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(705.797504 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(755.610704 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(784.601066 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(813.591427 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-122\"/>\n",
       "      <use transform=\"translate(863.404628 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(911.124923 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(996.903154 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1029.380242 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1108.682422 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "      <use transform=\"translate(1158.495622 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 33.363828 186.093965 \n",
       "L 33.363828 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 459.116458 186.093965 \n",
       "L 459.116458 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 33.363828 186.093965 \n",
       "L 459.116458 186.093965 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 33.363828 15.962883 \n",
       "L 459.116458 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- Optimal Signal, AR(2) processes with $\\phi_1 + \\phi_2 = 0.9$, $\\kappa$ constant. -->\n",
       "    <g transform=\"translate(107.156049 9.962883)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path d=\"M 40.203125 71 \n",
       "C 17.40625 71 2.203125 56.1875 2.203125 34.15625 \n",
       "C 2.203125 13.109375 16.796875 -2 37 -2 \n",
       "C 59.40625 -2 76.40625 14.71875 76.40625 36.734375 \n",
       "C 76.40625 57.78125 62.40625 71 40.203125 71 \n",
       "z\n",
       "M 38.5 66.78125 \n",
       "C 55.59375 66.78125 65.703125 54.578125 65.703125 33.75 \n",
       "C 65.703125 13.90625 56.5 2.203125 41 2.203125 \n",
       "C 24.203125 2.203125 12.90625 16.421875 12.90625 37.84375 \n",
       "C 12.90625 56.359375 22.09375 66.78125 38.5 66.78125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-79\"/>\n",
       "      <path d=\"M 1 40.078125 \n",
       "L 4.703125 40.078125 \n",
       "C 8.703125 40.078125 9.09375 39.375 9.09375 32.734375 \n",
       "L 9.09375 -17.84375 \n",
       "C 9.09375 -24.1875 8.796875 -24.890625 5.40625 -24.890625 \n",
       "L 0.796875 -24.890625 \n",
       "L 0.796875 -28 \n",
       "C 10.796875 -28 10.796875 -28 13.296875 -28 \n",
       "C 15.796875 -28 15.796875 -28 25.796875 -28 \n",
       "L 25.796875 -24.890625 \n",
       "L 21.203125 -24.890625 \n",
       "C 17.796875 -24.890625 17.5 -24.171875 17.5 -17.78125 \n",
       "L 17.5 1.390625 \n",
       "C 20.5 -0.40625 23.703125 -1.109375 28.203125 -1.109375 \n",
       "C 31.09375 -1.109375 33.703125 -0.5 35.296875 0.5 \n",
       "L 46.703125 7.890625 \n",
       "C 50.703125 10.5 55.40625 20.78125 55.40625 27.1875 \n",
       "C 55.40625 38.296875 46.203125 47 34.59375 47 \n",
       "C 30.90625 47 27.296875 45.984375 25.703125 44.484375 \n",
       "L 17.5 36.984375 \n",
       "L 17.5 46.59375 \n",
       "L 16.59375 47 \n",
       "C 11.5 44.890625 6.296875 43.484375 1 42.890625 \n",
       "z\n",
       "M 17.5 30.6875 \n",
       "C 17.5 32.078125 18 33.1875 19.296875 34.890625 \n",
       "C 22.203125 38.578125 26.296875 40.484375 31.296875 40.484375 \n",
       "C 40.703125 40.484375 46.703125 33.890625 46.703125 23.5 \n",
       "C 46.703125 12.296875 40 4 31 4 \n",
       "C 25.5 4 21.40625 5.8125 17.5 9.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-112\"/>\n",
       "      <path d=\"M 44.703125 52.671875 \n",
       "C 44.703125 57.984375 45.09375 61.375 46.09375 66.78125 \n",
       "C 38.09375 70 33.59375 71 28.09375 71 \n",
       "C 13.203125 71 2.40625 61.578125 2.40625 48.46875 \n",
       "C 2.40625 43.5625 3.703125 39.953125 6.59375 37.25 \n",
       "C 10 34.15625 14.59375 32.546875 24.296875 31.25 \n",
       "C 32 30.140625 35.5 29.046875 38.09375 26.734375 \n",
       "C 40.703125 24.640625 41.90625 21.734375 41.90625 17.921875 \n",
       "C 41.90625 8.921875 34.40625 2.40625 24 2.40625 \n",
       "C 16 2.40625 8.203125 6.3125 7.703125 10.40625 \n",
       "L 6.90625 17.125 \n",
       "L 3.703125 17.125 \n",
       "C 3.796875 15.3125 3.796875 13.71875 3.796875 13.125 \n",
       "C 3.796875 8.515625 3.59375 6.3125 3 1.8125 \n",
       "C 8.703125 -0.703125 14.5 -2 20.296875 -2 \n",
       "C 37.703125 -2 50.296875 8.515625 50.296875 23.03125 \n",
       "C 50.296875 27.734375 49 31.046875 46.203125 33.640625 \n",
       "C 42.703125 36.9375 38.5 38.25 27.296875 39.75 \n",
       "C 15.09375 41.34375 10.796875 44.65625 10.796875 52.375 \n",
       "C 10.796875 60.78125 17.09375 66.78125 25.90625 66.78125 \n",
       "C 29.796875 66.78125 33.5 65.984375 36.203125 64.484375 \n",
       "C 39.5 62.78125 40.59375 61.28125 40.90625 58.390625 \n",
       "L 41.5 52.671875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-83\"/>\n",
       "      <path d=\"M 51.90625 38 \n",
       "L 54.40625 42.109375 \n",
       "L 54 43.109375 \n",
       "L 39.796875 43.109375 \n",
       "C 36.09375 45.890625 32.5 47 27.59375 47 \n",
       "C 23.203125 47 18.09375 45.625 14 43.25 \n",
       "C 8.40625 40.109375 5.5 35.28125 5.5 29.28125 \n",
       "C 5.5 22 10.09375 16.984375 17.5 16.1875 \n",
       "L 9.59375 10 \n",
       "C 8.59375 8.484375 8.09375 7.171875 8.09375 5.640625 \n",
       "C 8.09375 2.8125 9.90625 1.1875 14.703125 -0.21875 \n",
       "L 6 -4.9375 \n",
       "C 4.59375 -5.734375 3.203125 -9.4375 3.203125 -12.546875 \n",
       "C 3.203125 -21.6875 12.09375 -28 24.796875 -28 \n",
       "C 39.90625 -28 51.796875 -18.46875 51.796875 -6.234375 \n",
       "C 51.796875 0.984375 47 6 40 6 \n",
       "L 24 6 \n",
       "C 18.796875 6 16.40625 7.21875 16.40625 9.984375 \n",
       "C 16.40625 11.3125 17.203125 12.421875 19.796875 14.671875 \n",
       "C 20.40625 15.1875 20.59375 15.390625 21 15.796875 \n",
       "C 22 15.6875 22.59375 15.59375 23.40625 15.59375 \n",
       "C 27.703125 15.59375 33 17.46875 37.09375 20.3125 \n",
       "C 41.59375 23.546875 43.796875 27.484375 43.796875 32.703125 \n",
       "C 43.796875 34.65625 43.5 35.9375 42.703125 38 \n",
       "z\n",
       "M 24 43.59375 \n",
       "C 30.796875 43.59375 35.40625 38.09375 35.40625 29.765625 \n",
       "C 35.40625 23.421875 31.203125 19 25.09375 19 \n",
       "C 18.40625 19 13.90625 24.09375 13.90625 31.640625 \n",
       "C 13.90625 39.171875 17.59375 43.59375 24 43.59375 \n",
       "z\n",
       "M 28.703125 -1.015625 \n",
       "C 40 -1.015625 43.90625 -3.3125 43.90625 -9.84375 \n",
       "C 43.90625 -18.46875 36 -24.890625 25.5 -24.890625 \n",
       "C 16.796875 -24.890625 10.796875 -19.78125 10.796875 -12.34375 \n",
       "C 10.796875 -7.84375 13.40625 -3.71875 17.40625 -2.015625 \n",
       "C 19 -1.21875 21.796875 -1.015625 28.703125 -1.015625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-103\"/>\n",
       "      <path d=\"M 20.40625 12.328125 \n",
       "C 17.703125 11.421875 15.90625 10.828125 10.59375 9.3125 \n",
       "C 9.90625 1.703125 7.40625 -4.8125 1.59375 -14.421875 \n",
       "L 3 -15.53125 \n",
       "L 7.09375 -13.625 \n",
       "C 15.203125 -3.109375 19 3.203125 21.796875 10.921875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-44\"/>\n",
       "      <path d=\"M 40.796875 70.5 \n",
       "L 37.59375 70.5 \n",
       "C 35.796875 66.171875 34.296875 62.46875 33.703125 60.96875 \n",
       "L 28.40625 48.8125 \n",
       "L 10.59375 8.15625 \n",
       "C 9.40625 5.234375 7.40625 3.421875 5.203125 3.21875 \n",
       "L 1.5 2.921875 \n",
       "L 1.5 0 \n",
       "C 10.796875 0 10.796875 0 12.40625 0 \n",
       "C 13.703125 0 13.703125 0 24.5 0 \n",
       "L 24.5 2.921875 \n",
       "L 20.796875 3.21875 \n",
       "C 17.296875 3.53125 16 4.21875 16 5.796875 \n",
       "C 16 7.09375 17.40625 11.359375 19.5 16.34375 \n",
       "L 22.296875 23 \n",
       "L 51.09375 23 \n",
       "L 55.703125 11.453125 \n",
       "C 57.40625 7.234375 57.796875 5.921875 57.796875 5.03125 \n",
       "C 57.796875 3.921875 56.203125 3.21875 53.703125 3.015625 \n",
       "L 49 3.015625 \n",
       "L 49 0 \n",
       "C 61.296875 0 61.296875 0 62.90625 0 \n",
       "C 64.796875 0 64.796875 0 75.59375 0 \n",
       "L 75.59375 2.921875 \n",
       "L 72.203125 3.21875 \n",
       "C 69.59375 3.625 68.5 5.328125 65 13.453125 \n",
       "z\n",
       "M 24 27 \n",
       "L 36.703125 57.078125 \n",
       "L 49.296875 27 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-65\"/>\n",
       "      <path d=\"M 21.59375 64.796875 \n",
       "C 25 65.59375 28 66 31.40625 66 \n",
       "C 41.796875 66 47.59375 61.171875 47.59375 52.609375 \n",
       "C 47.59375 43.359375 40.296875 37.515625 28.703125 37.515625 \n",
       "C 28 37.515625 27.09375 37.515625 25.796875 37.609375 \n",
       "L 25.203125 36.40625 \n",
       "C 26.296875 35.09375 26.59375 34.703125 27.796875 33.390625 \n",
       "C 29.203125 31.796875 29.5 31.390625 30.40625 30.1875 \n",
       "L 48.796875 5.40625 \n",
       "C 49.40625 4.609375 50 3.796875 50.59375 3.109375 \n",
       "C 51.296875 2.203125 51.90625 1.296875 52.90625 0 \n",
       "C 57.59375 0 58.59375 0 59.703125 0 \n",
       "C 60.59375 0 60.59375 0 66.90625 0 \n",
       "L 66.90625 2.90625 \n",
       "C 63.703125 3.203125 62.09375 3.8125 60.796875 5.53125 \n",
       "L 38.09375 35.296875 \n",
       "C 43.703125 36.703125 46.296875 37.796875 49.59375 40.09375 \n",
       "C 54.796875 43.796875 57.59375 48.796875 57.59375 54.609375 \n",
       "C 57.59375 64.203125 50.59375 69.609375 38.203125 69.609375 \n",
       "L 36.59375 69.609375 \n",
       "C 23.59375 69.609375 23.59375 69.609375 20.203125 69.609375 \n",
       "C 16.90625 69.609375 16.90625 69.609375 2.90625 69.609375 \n",
       "L 2.90625 66.796875 \n",
       "L 7 66.296875 \n",
       "C 11.59375 66.296875 12.09375 65.375 12.09375 57.484375 \n",
       "L 12.09375 12.015625 \n",
       "C 12.09375 4.015625 11.59375 3.203125 7 3.203125 \n",
       "L 2.203125 3.203125 \n",
       "L 2.203125 0 \n",
       "C 8.09375 0 11.59375 0 16.796875 0 \n",
       "C 22 0 25.59375 0 31.5 0 \n",
       "L 31.5 3.203125 \n",
       "L 26.703125 3.203125 \n",
       "C 22.09375 3.203125 21.59375 4 21.59375 12 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-82\"/>\n",
       "      <path d=\"M 39.90625 31.15625 \n",
       "C 39.90625 35.765625 40.40625 39.875 41.296875 43.484375 \n",
       "C 37.296875 45.890625 33.796875 47 29.703125 47 \n",
       "C 24.90625 47 19.296875 45.09375 13.296875 41.28125 \n",
       "C 6.296875 36.875 2.59375 29.859375 2.59375 21.046875 \n",
       "C 2.59375 7.515625 12.09375 -2 25.5 -2 \n",
       "C 30.703125 -2 38.203125 -0.09375 39.203125 1.40625 \n",
       "L 41.296875 4.609375 \n",
       "L 40.296875 6.109375 \n",
       "C 36.59375 4.109375 33.40625 3.203125 29.796875 3.203125 \n",
       "C 18.703125 3.203125 11.40625 11.828125 11.40625 25.046875 \n",
       "C 11.40625 35.765625 16.40625 41.78125 25.40625 41.78125 \n",
       "C 29.796875 41.78125 34.59375 39.78125 36.40625 37.28125 \n",
       "L 37.09375 31.15625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-99\"/>\n",
       "      <path d=\"M 4.09375 14.328125 \n",
       "C 4.09375 7.421875 3.796875 4.40625 3 0.40625 \n",
       "C 8.203125 -1.296875 12.09375 -2 16.703125 -2 \n",
       "C 29.796875 -2 39.09375 5.015625 39.09375 14.828125 \n",
       "C 39.09375 17.9375 38.203125 20.234375 36.296875 22.25 \n",
       "C 33.703125 24.75 30.40625 25.953125 21.59375 27.65625 \n",
       "C 13.40625 29.265625 10.703125 31.265625 10.703125 35.875 \n",
       "C 10.703125 40.875 14.203125 43.6875 20.296875 43.6875 \n",
       "C 27 43.6875 32.09375 40.1875 32.09375 35.46875 \n",
       "L 32.09375 33.171875 \n",
       "L 34.90625 33.171875 \n",
       "C 35 38.984375 35.09375 41.375 35.40625 44.484375 \n",
       "C 30.09375 46.296875 26.5 47 22.40625 47 \n",
       "C 10.796875 47 3.703125 41.484375 3.703125 32.46875 \n",
       "C 3.703125 27.65625 5.90625 24.25 10.5 22.140625 \n",
       "C 13.203125 20.9375 18.5 19.34375 25.296875 17.828125 \n",
       "C 29.796875 16.828125 31.703125 14.734375 31.703125 10.921875 \n",
       "C 31.703125 5.515625 26.703125 1.703125 19.59375 1.703125 \n",
       "C 12.296875 1.703125 7.09375 5.203125 7.09375 10.21875 \n",
       "L 7.09375 14.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-115\"/>\n",
       "      <path d=\"M 40.90625 23 \n",
       "L 68.796875 23 \n",
       "C 70.203125 23 72.09375 23 72.09375 25 \n",
       "C 72.09375 27.015625 70.203125 27.015625 68.796875 27.015625 \n",
       "L 40.90625 27.015625 \n",
       "L 40.90625 55.1875 \n",
       "C 40.90625 56.59375 40.90625 58.5 38.90625 58.5 \n",
       "C 36.90625 58.5 36.90625 56.59375 36.90625 55.1875 \n",
       "L 36.90625 27.015625 \n",
       "L 8.90625 27.015625 \n",
       "C 7.5 27.015625 5.59375 27.015625 5.59375 25 \n",
       "C 5.59375 23 7.5 23 8.90625 23 \n",
       "L 36.90625 23 \n",
       "L 36.90625 -5.171875 \n",
       "C 36.90625 -6.578125 36.90625 -8.5 38.90625 -8.5 \n",
       "C 40.90625 -8.5 40.90625 -6.578125 40.90625 -5.171875 \n",
       "z\n",
       "\" id=\"CMR10-43\"/>\n",
       "      <path d=\"M 68.703125 32 \n",
       "C 70.203125 32 72.09375 32 72.09375 34.015625 \n",
       "C 72.09375 36.015625 70.203125 36.015625 68.796875 36.015625 \n",
       "L 8.90625 36.015625 \n",
       "C 7.5 36.015625 5.59375 36.015625 5.59375 34.015625 \n",
       "C 5.59375 32 7.5 32 9 32 \n",
       "z\n",
       "M 68.796875 13 \n",
       "C 70.203125 13 72.09375 13 72.09375 15.015625 \n",
       "C 72.09375 17.015625 70.203125 17.015625 68.703125 17.015625 \n",
       "L 9 17.015625 \n",
       "C 7.5 17.015625 5.59375 17.015625 5.59375 15.015625 \n",
       "C 5.59375 13 7.5 13 8.90625 13 \n",
       "z\n",
       "\" id=\"CMR10-61\"/>\n",
       "      <path d=\"M 26.296875 69 \n",
       "C 10.796875 69 2.90625 56.6875 2.90625 32.453125 \n",
       "C 2.90625 20.71875 5 10.625 8.5 5.71875 \n",
       "C 12 0.796875 17.59375 -2 23.796875 -2 \n",
       "C 38.90625 -2 46.5 11.015625 46.5 36.65625 \n",
       "C 46.5 58.578125 40 69 26.296875 69 \n",
       "z\n",
       "M 24.5 65.5 \n",
       "C 34.203125 65.5 38.09375 55.6875 38.09375 31.640625 \n",
       "C 38.09375 10.328125 34.296875 1.5 25.09375 1.5 \n",
       "C 15.40625 1.5 11.296875 11.625 11.296875 36.0625 \n",
       "C 11.296875 57.1875 15 65.5 24.5 65.5 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-48\"/>\n",
       "      <path d=\"M 12.40625 11.625 \n",
       "C 9.40625 11.625 6.703125 8.8125 6.703125 5.8125 \n",
       "C 6.703125 2.796875 9.40625 0 12.296875 0 \n",
       "C 15.5 0 18.296875 2.703125 18.296875 5.8125 \n",
       "C 18.296875 8.8125 15.5 11.625 12.40625 11.625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-46\"/>\n",
       "      <path d=\"M 9.59375 -1.65625 \n",
       "C 20.703125 1.953125 25.5 4.25 30.90625 8.84375 \n",
       "C 40.59375 17.15625 45.703125 28.671875 45.703125 42.078125 \n",
       "C 45.703125 59 37.59375 69.296875 24.40625 69.296875 \n",
       "C 11.59375 69.296875 2 59.296875 2 45.90625 \n",
       "C 2 34.390625 9.5 26 19.90625 26 \n",
       "C 23.296875 26 27.203125 27.09375 29 28.59375 \n",
       "L 36 34.40625 \n",
       "C 35.203125 17.578125 24.296875 5.25 6.203125 0.84375 \n",
       "L 6.203125 0.046875 \n",
       "z\n",
       "M 24 66 \n",
       "C 28.5 66 31.796875 64.09375 34 60.09375 \n",
       "C 35.796875 56.890625 37 52 37 47.5 \n",
       "C 37 38.296875 31.703125 32.109375 24 32.109375 \n",
       "C 16 32.109375 10.59375 39.203125 10.59375 49.59375 \n",
       "C 10.59375 59.703125 15.796875 66 24 66 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-57\"/>\n",
       "      <path d=\"M 2.59375 38.625 \n",
       "L 3.296875 36.59375 \n",
       "L 6.5 38.6875 \n",
       "C 9.40625 40.484375 10.40625 40.984375 11.296875 40.984375 \n",
       "C 12.296875 40.984375 13 40.078125 13 38.890625 \n",
       "C 13 33.015625 8.703125 12.5625 4.703125 -0.296875 \n",
       "L 5.59375 -1 \n",
       "L 12.296875 0.6875 \n",
       "L 14.796875 14.15625 \n",
       "C 15.59375 18.546875 18.09375 22.53125 21.296875 25.71875 \n",
       "C 28.203125 5.78125 31.40625 -1 33.90625 -1 \n",
       "C 35.203125 -1 37.5 0.296875 42 3.390625 \n",
       "L 46.59375 6.578125 \n",
       "L 45.796875 8.46875 \n",
       "L 41.5 6.0625 \n",
       "C 40.09375 5.28125 39.5 5.078125 38.59375 5.078125 \n",
       "C 37.59375 5.078125 36.90625 5.6875 36 7.375 \n",
       "C 32.5 13.75 30.296875 19.140625 26.40625 31.40625 \n",
       "L 27.796875 32.796875 \n",
       "C 33.90625 38.890625 38.5 41.375 43.5 41.375 \n",
       "C 44.40625 41.375 45.40625 41.1875 47.09375 40.78125 \n",
       "L 48.796875 47.09375 \n",
       "C 47.09375 47.6875 45.296875 48 44 48 \n",
       "C 37.40625 48 29.09375 40.40625 16.59375 22.9375 \n",
       "L 18 29.546875 \n",
       "C 18.5 31.859375 19.203125 35.875 19.796875 38.078125 \n",
       "L 20.40625 40.6875 \n",
       "C 20.796875 42.484375 21 43.6875 21 44.890625 \n",
       "C 21 47 20.203125 48 18.703125 48 \n",
       "C 16.59375 48 12.796875 45.984375 5.40625 40.625 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-107\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-79\"/>\n",
       "     <use transform=\"translate(78.306281 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(138.180675 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(170.657763 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(199.648124 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(287.617799 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(337.430999 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(391.327961 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-83\"/>\n",
       "     <use transform=\"translate(443.631776 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(472.622137 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "     <use transform=\"translate(528.013814 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(585.995875 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(635.809075 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(664.799437 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(714.612637 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-65\"/>\n",
       "     <use transform=\"translate(792.121007 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-82\"/>\n",
       "     <use transform=\"translate(858.670701 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "     <use transform=\"translate(891.845931 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "     <use transform=\"translate(941.659132 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     <use transform=\"translate(999.740962 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(1059.615355 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "     <use transform=\"translate(1097.174673 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1151.570253 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(1195.803822 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(1243.524117 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1285.765583 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1328.007049 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(1375.727344 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1442.875411 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "     <use transform=\"translate(1525.963504 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1554.953866 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1587.430954 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(1671.564914 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-102\"/>\n",
       "     <use transform=\"translate(1728.998586 -18.577338)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "     <use transform=\"translate(1787.971529 0)scale(1.038107)\" xlink:href=\"#CMR10-43\"/>\n",
       "     <use transform=\"translate(1890.530278 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-102\"/>\n",
       "     <use transform=\"translate(1947.963949 -17.441431)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "     <use transform=\"translate(2015.239072 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "     <use transform=\"translate(2124.854701 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-48\"/>\n",
       "     <use transform=\"translate(2174.667902 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(2199.574502 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-57\"/>\n",
       "     <use transform=\"translate(2249.387703 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(2299.449924 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-107\"/>\n",
       "     <use transform=\"translate(2376.211126 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(2420.444695 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(2474.840275 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(2532.822336 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(2575.063802 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(2607.54089 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(2657.35409 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(2715.336151 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(2747.813239 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 36.863828 37.948368 \n",
       "L 225.367924 37.948368 \n",
       "L 225.367924 19.462883 \n",
       "L 36.863828 19.462883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_16\">\n",
       "     <path d=\"M 42.463828 27.931789 \n",
       "L 56.463828 27.931789 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;stroke-width:0.875;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_17\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- Signal Weight on $X_{t-1}$, $h_2$ (with $h_1$ normalized to 1) -->\n",
       "     <g transform=\"translate(62.063828 30.381789)scale(0.07 -0.07)\">\n",
       "      <defs>\n",
       "       <path d=\"M 73.40625 -1 \n",
       "C 73.796875 0.5 74.09375 1.90625 74.203125 2.40625 \n",
       "C 74.5 3.40625 75.296875 6.421875 76.09375 9.125 \n",
       "L 91.40625 63 \n",
       "C 92 64.796875 93 65.703125 95.203125 65.90625 \n",
       "L 98.40625 66.203125 \n",
       "L 98.40625 69 \n",
       "L 87.90625 69 \n",
       "C 86.90625 69 86.90625 69 77.40625 69 \n",
       "L 77.40625 66.203125 \n",
       "L 81.40625 65.90625 \n",
       "C 84.90625 65.609375 86 65.109375 86.09375 63.484375 \n",
       "C 86.09375 63.1875 86.09375 62.890625 86 62.578125 \n",
       "L 72.796875 13.625 \n",
       "L 56.40625 59.78125 \n",
       "C 54.203125 65.796875 53.90625 66.59375 53.09375 70 \n",
       "L 49.90625 70 \n",
       "C 47.796875 63.78125 46.09375 59.296875 40.90625 45.859375 \n",
       "L 28.5 14.328125 \n",
       "L 18.5 59.296875 \n",
       "C 18.203125 60.5 18.09375 61.59375 18.09375 62.59375 \n",
       "C 18.09375 64.796875 19.09375 65.703125 21.796875 65.90625 \n",
       "L 26 66.203125 \n",
       "L 26 69 \n",
       "L 13.40625 69 \n",
       "C 12.703125 69 8.5 69 0.796875 69 \n",
       "L 0.796875 66.203125 \n",
       "L 3.59375 65.90625 \n",
       "C 6.5 65.609375 7.703125 64.5 8.59375 60.890625 \n",
       "L 20.5 9.328125 \n",
       "C 21.796875 3.609375 21.796875 3.515625 22.796875 -1 \n",
       "L 27.796875 -1 \n",
       "C 28.703125 2.203125 29.5 4.609375 31.40625 9.328125 \n",
       "L 48.796875 53.578125 \n",
       "L 61.296875 19.625 \n",
       "C 64.59375 10.734375 64.90625 9.921875 68.40625 -1 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-87\"/>\n",
       "       <path d=\"M 41.59375 2.6875 \n",
       "L 41.59375 0 \n",
       "C 46.40625 0 50.90625 0 55.09375 0 \n",
       "C 59.09375 0 63.59375 0 68.40625 0 \n",
       "L 68.40625 2.6875 \n",
       "L 65.90625 2.890625 \n",
       "C 61.796875 3.1875 60.5 3.890625 59.09375 6.28125 \n",
       "L 42 36.890625 \n",
       "L 64.09375 62.03125 \n",
       "C 67.09375 65.328125 68 65.921875 70.59375 66.21875 \n",
       "L 73.40625 66.421875 \n",
       "L 73.40625 69 \n",
       "L 62 69 \n",
       "C 60.796875 69 59.40625 69 50.5 69 \n",
       "L 50.5 66.21875 \n",
       "L 53.796875 66.21875 \n",
       "C 57 66.21875 58.296875 65.71875 58.296875 64.515625 \n",
       "C 58.296875 63.40625 57.796875 62.5 56 60.28125 \n",
       "L 39.90625 40.578125 \n",
       "L 29.5 60.578125 \n",
       "C 28.59375 62.40625 28.09375 63.609375 28.09375 64.40625 \n",
       "C 28.09375 65.625 29.40625 66.21875 32.40625 66.21875 \n",
       "L 36.09375 66.21875 \n",
       "L 36.09375 69 \n",
       "L 31.5 69 \n",
       "C 27.40625 69 24.40625 69 22.796875 69 \n",
       "C 21.09375 69 18.09375 69 14 69 \n",
       "L 9.5 69 \n",
       "L 9.5 66.421875 \n",
       "L 12.09375 66.21875 \n",
       "C 17 65.71875 18.203125 65.015625 20.203125 61.34375 \n",
       "L 34.796875 34.40625 \n",
       "L 11 6.28125 \n",
       "C 9.5 4.484375 7.203125 3.296875 4.796875 2.984375 \n",
       "L 2 2.6875 \n",
       "L 2 0 \n",
       "C 6.90625 0 11 0 14.5 0 \n",
       "C 18.09375 0 22.09375 0 26.40625 0 \n",
       "L 26.40625 2.6875 \n",
       "L 23.203125 2.984375 \n",
       "C 19.40625 3.390625 17.703125 3.96875 17.703125 5.171875 \n",
       "C 17.703125 5.96875 18.09375 6.859375 18.703125 7.65625 \n",
       "L 36.90625 30.71875 \n",
       "L 48.796875 8.171875 \n",
       "C 49.703125 6.375 50.203125 5.078125 50.203125 4.1875 \n",
       "C 50.203125 3.3125 49.5 2.984375 47 2.984375 \n",
       "L 45.40625 2.984375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-88\"/>\n",
       "       <path d=\"M 12.5 38.515625 \n",
       "L 6.90625 10.484375 \n",
       "C 6.796875 9.78125 6.703125 9.609375 6.40625 8.40625 \n",
       "C 5.796875 5.640625 5.59375 4.140625 5.59375 2.96875 \n",
       "C 5.59375 0.484375 6.703125 -1 8.59375 -1 \n",
       "C 12.09375 -1 15.59375 0.96875 23.40625 7.234375 \n",
       "L 24.90625 8.40625 \n",
       "L 26.5 9.703125 \n",
       "L 25.5 11.484375 \n",
       "L 21 8.40625 \n",
       "C 18.09375 6.4375 16.09375 5.4375 15 5.4375 \n",
       "C 14.09375 5.4375 13.59375 6.234375 13.59375 7.40625 \n",
       "C 13.59375 9.984375 15 18.015625 17.90625 32.375 \n",
       "L 19.203125 38.515625 \n",
       "L 29.90625 38.515625 \n",
       "L 31 43.5 \n",
       "C 27.203125 43 23.796875 43 20 43 \n",
       "C 21.59375 52.3125 22.703125 57.171875 24.5 62.515625 \n",
       "L 23.40625 64.015625 \n",
       "C 21.40625 62.828125 18.703125 61.625 15.59375 60.4375 \n",
       "L 13.09375 43.5 \n",
       "C 8.703125 41.40625 6.09375 40.3125 4.296875 39.8125 \n",
       "L 4.09375 38.515625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-116\"/>\n",
       "       <path d=\"M 65.90625 23 \n",
       "C 67.59375 23 69.40625 23 69.40625 25 \n",
       "C 69.40625 27 67.59375 27 65.90625 27 \n",
       "L 11.796875 27 \n",
       "C 10.09375 27 8.296875 27 8.296875 25 \n",
       "C 8.296875 23 10.09375 23 11.796875 23 \n",
       "z\n",
       "\" id=\"CMSY10-0\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-83\"/>\n",
       "      <use transform=\"translate(52.303815 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(81.294176 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(136.685853 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(194.667914 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(244.481115 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(298.378076 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-87\"/>\n",
       "      <use transform=\"translate(388.839596 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(436.559891 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(465.550253 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(520.94193 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(578.92399 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(636.307679 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(690.703259 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(776.331661 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(849.457372 -18.577338)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(876.562789 -18.577338)scale(0.788955)\" xlink:href=\"#CMSY10-0\"/>\n",
       "      <use transform=\"translate(938.83803 -18.577338)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "      <use transform=\"translate(977.193921 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "      <use transform=\"translate(1028.750569 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-104\"/>\n",
       "      <use transform=\"translate(1079.809084 -17.441431)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "      <use transform=\"translate(1143.071575 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "      <use transform=\"translate(1176.246805 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(1259.334898 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1288.325259 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1320.802347 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(1405.434455 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-104\"/>\n",
       "      <use transform=\"translate(1456.49297 -18.577338)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "      <use transform=\"translate(1519.755461 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(1577.737522 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1632.133102 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(1671.484998 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(1759.454673 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1809.267873 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(1838.258235 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1867.248596 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-122\"/>\n",
       "      <use transform=\"translate(1917.061796 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(1964.782092 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(2050.560322 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(2083.03741 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(2162.339591 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "      <use transform=\"translate(2212.152791 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p92bf2fae9a\">\n",
       "   <rect height=\"170.131082\" width=\"425.75263\" x=\"33.363828\" y=\"15.962883\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "using Printf, LaTeXStrings, Plots; pyplot();\n",
    "plot(ϕ2_seq,h2norm[:,1],\n",
    "    title       = L\"Optimal Signal, AR(2) processes with $\\phi_1 + \\phi_2 = 0.9$, $\\kappa$ constant.\",\n",
    "    xlabel      = L\"$\\phi_2$\",\n",
    "    ylabel      = L\"$h_2$(with $h_1$ normalized to 1)\",\n",
    "    label       = L\"Signal Weight on $X_{t-1}$, $h_2$ (with $h_1$ normalized to 1)\",\n",
    "    legend      = :topleft,\n",
    "    lw          = 2,\n",
    "    color       = :black,\n",
    "    xlim        = (0,0.9),\n",
    "    xticks      = (0:0.1:0.9),\n",
    "    titlefont   = font(10), legendfont = font(7), tickfont = font(7),\n",
    "    size        = (650,300),\n",
    "    grid        = :off, framestyle = :box)"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now, we solve for the signal weight and standard deviation of noise, for different values of $\\kappa$"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ϕ2   = 0.4           ;  # fix ϕ2 in this exercise so we can vary κ\n",
    "ϕ1   = 0.99 - ϕ2     ;\n",
    "\n",
    "A    = [ϕ1 ϕ2 ; 1.0 0.0] ;\n",
    "\n",
    "ω_sol   = zeros(n_κ,1) ;\n",
    "σz_sol  = zeros(n_κ,1) ;\n",
    "\n",
    "for i in 1:n_κ\n",
    "    κ = κ_seq[i] ;\n",
    "\n",
    "    ex1b = Drip(κ,β,A,Q,H,fcap=true);\n",
    "\n",
    "    h1temp = ex1b.ss.Y[1]\n",
    "    h2temp = ex1b.ss.Y[2]\n",
    "\n",
    "    ω_sol[i]  = 1.0 - (h2temp/h1temp)/(ϕ2 + (1.0-ϕ1)*(h2temp/h1temp)) ;\n",
    "    ρ = (ω_sol[i] + (1.0-ω_sol[i])*ϕ1)/h1temp\n",
    "    σz_sol[i] = ρ*ex1b.ss.Σ_z[1,1] ;\n",
    "end"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "Below is the replication of Figure (3):"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=3}",
      "image/png": "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",
      "text/html": [
       "<img src=\"data:image/png;base64,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\" />"
      ],
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"216pt\" version=\"1.1\" viewBox=\"0 0 468 216\" width=\"468pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-09-27T00:17:38.225350</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 216 \n",
       "L 468 216 \n",
       "L 468 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 446.4 186.093965 \n",
       "L 446.4 15.962883 \n",
       "L 19.961999 15.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path clip-path=\"url(#p66634b342c)\" d=\"M 23.889718 135.867304 \n",
       "L 25.292474 133.845038 \n",
       "L 28.097987 131.087732 \n",
       "L 37.917283 122.284851 \n",
       "L 58.958632 103.549248 \n",
       "L 67.375172 96.368641 \n",
       "L 74.388955 90.658274 \n",
       "L 81.402737 85.248291 \n",
       "L 88.41652 80.166427 \n",
       "L 95.430303 75.428545 \n",
       "L 101.04133 71.882787 \n",
       "L 106.652356 68.550784 \n",
       "L 112.263382 65.423992 \n",
       "L 117.874409 62.501167 \n",
       "L 126.290948 58.470975 \n",
       "L 133.304731 55.394749 \n",
       "L 140.318514 52.565627 \n",
       "L 147.332297 49.961892 \n",
       "L 154.34608 47.56521 \n",
       "L 162.762619 44.941842 \n",
       "L 171.179159 42.560481 \n",
       "L 179.595698 40.400318 \n",
       "L 189.414994 38.133556 \n",
       "L 199.23429 36.102416 \n",
       "L 209.053586 34.283549 \n",
       "L 221.678396 32.221555 \n",
       "L 234.303205 30.423518 \n",
       "L 246.928014 28.859331 \n",
       "L 260.95558 27.349279 \n",
       "L 276.385902 25.928919 \n",
       "L 293.218981 24.624116 \n",
       "L 311.454817 23.443554 \n",
       "L 331.093409 22.401168 \n",
       "L 353.537514 21.437273 \n",
       "L 378.787133 20.586386 \n",
       "L 406.842264 19.86626 \n",
       "L 440.508422 19.229299 \n",
       "L 469 18.837146 \n",
       "L 469 18.837146 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -2.5 \n",
       "\" id=\"m67fc7c04fb\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"22.767512\" xlink:href=\"#m67fc7c04fb\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(20.207512 195.672715)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"163.043171\" xlink:href=\"#m67fc7c04fb\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathregular{1}$ -->\n",
       "      <g transform=\"translate(160.483171 195.672715)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"303.318829\" xlink:href=\"#m67fc7c04fb\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(300.758829 195.672715)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"443.594487\" xlink:href=\"#m67fc7c04fb\" y=\"186.093965\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathregular{3}$ -->\n",
       "      <g transform=\"translate(441.034487 195.672715)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_5\">\n",
       "     <!-- $\\kappa$ -->\n",
       "     <g transform=\"translate(230.53443 209.177514)scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path d=\"M 2.59375 38.625 \n",
       "L 3.296875 36.59375 \n",
       "L 6.5 38.6875 \n",
       "C 9.40625 40.484375 10.40625 40.984375 11.296875 40.984375 \n",
       "C 12.296875 40.984375 13 40.078125 13 38.890625 \n",
       "C 13 33.015625 8.703125 12.5625 4.703125 -0.296875 \n",
       "L 5.59375 -1 \n",
       "L 12.296875 0.6875 \n",
       "L 14.796875 14.15625 \n",
       "C 15.59375 18.546875 18.09375 22.53125 21.296875 25.71875 \n",
       "C 28.203125 5.78125 31.40625 -1 33.90625 -1 \n",
       "C 35.203125 -1 37.5 0.296875 42 3.390625 \n",
       "L 46.59375 6.578125 \n",
       "L 45.796875 8.46875 \n",
       "L 41.5 6.0625 \n",
       "C 40.09375 5.28125 39.5 5.078125 38.59375 5.078125 \n",
       "C 37.59375 5.078125 36.90625 5.6875 36 7.375 \n",
       "C 32.5 13.75 30.296875 19.140625 26.40625 31.40625 \n",
       "L 27.796875 32.796875 \n",
       "C 33.90625 38.890625 38.5 41.375 43.5 41.375 \n",
       "C 44.40625 41.375 45.40625 41.1875 47.09375 40.78125 \n",
       "L 48.796875 47.09375 \n",
       "C 47.09375 47.6875 45.296875 48 44 48 \n",
       "C 37.40625 48 29.09375 40.40625 16.59375 22.9375 \n",
       "L 18 29.546875 \n",
       "C 18.5 31.859375 19.203125 35.875 19.796875 38.078125 \n",
       "L 20.40625 40.6875 \n",
       "C 20.796875 42.484375 21 43.6875 21 44.890625 \n",
       "C 21 47 20.203125 48 18.703125 48 \n",
       "C 16.59375 48 12.796875 45.984375 5.40625 40.625 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-107\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-107\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 2.5 0 \n",
       "\" id=\"m094f985f45\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.961999\" xlink:href=\"#m094f985f45\" y=\"184.426014\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(3.661999 187.465389)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.961999\" xlink:href=\"#m094f985f45\" y=\"101.028424\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathregular{0.5}$ -->\n",
       "      <g transform=\"translate(3.661999 104.067799)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.961999\" xlink:href=\"#m094f985f45\" y=\"17.630835\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathregular{1.0}$ -->\n",
       "      <g transform=\"translate(3.661999 20.67021)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 19.961999 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 446.4 186.093965 \n",
       "L 446.4 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 446.4 186.093965 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 19.961999 15.962883 \n",
       "L 446.4 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_9\">\n",
       "    <!-- Optimal signal as function of $\\kappa$, AR(2) example. -->\n",
       "    <g transform=\"translate(128.743865 9.962883)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path d=\"M 40.203125 71 \n",
       "C 17.40625 71 2.203125 56.1875 2.203125 34.15625 \n",
       "C 2.203125 13.109375 16.796875 -2 37 -2 \n",
       "C 59.40625 -2 76.40625 14.71875 76.40625 36.734375 \n",
       "C 76.40625 57.78125 62.40625 71 40.203125 71 \n",
       "z\n",
       "M 38.5 66.78125 \n",
       "C 55.59375 66.78125 65.703125 54.578125 65.703125 33.75 \n",
       "C 65.703125 13.90625 56.5 2.203125 41 2.203125 \n",
       "C 24.203125 2.203125 12.90625 16.421875 12.90625 37.84375 \n",
       "C 12.90625 56.359375 22.09375 66.78125 38.5 66.78125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-79\"/>\n",
       "      <path d=\"M 1 40.078125 \n",
       "L 4.703125 40.078125 \n",
       "C 8.703125 40.078125 9.09375 39.375 9.09375 32.734375 \n",
       "L 9.09375 -17.84375 \n",
       "C 9.09375 -24.1875 8.796875 -24.890625 5.40625 -24.890625 \n",
       "L 0.796875 -24.890625 \n",
       "L 0.796875 -28 \n",
       "C 10.796875 -28 10.796875 -28 13.296875 -28 \n",
       "C 15.796875 -28 15.796875 -28 25.796875 -28 \n",
       "L 25.796875 -24.890625 \n",
       "L 21.203125 -24.890625 \n",
       "C 17.796875 -24.890625 17.5 -24.171875 17.5 -17.78125 \n",
       "L 17.5 1.390625 \n",
       "C 20.5 -0.40625 23.703125 -1.109375 28.203125 -1.109375 \n",
       "C 31.09375 -1.109375 33.703125 -0.5 35.296875 0.5 \n",
       "L 46.703125 7.890625 \n",
       "C 50.703125 10.5 55.40625 20.78125 55.40625 27.1875 \n",
       "C 55.40625 38.296875 46.203125 47 34.59375 47 \n",
       "C 30.90625 47 27.296875 45.984375 25.703125 44.484375 \n",
       "L 17.5 36.984375 \n",
       "L 17.5 46.59375 \n",
       "L 16.59375 47 \n",
       "C 11.5 44.890625 6.296875 43.484375 1 42.890625 \n",
       "z\n",
       "M 17.5 30.6875 \n",
       "C 17.5 32.078125 18 33.1875 19.296875 34.890625 \n",
       "C 22.203125 38.578125 26.296875 40.484375 31.296875 40.484375 \n",
       "C 40.703125 40.484375 46.703125 33.890625 46.703125 23.5 \n",
       "C 46.703125 12.296875 40 4 31 4 \n",
       "C 25.5 4 21.40625 5.8125 17.5 9.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-112\"/>\n",
       "      <path d=\"M 9.796875 38.6875 \n",
       "L 9.796875 9.671875 \n",
       "C 9.796875 2.21875 13.09375 -1 20.796875 -1 \n",
       "C 23.09375 -1 25.5 -0.5 26.09375 0.203125 \n",
       "L 30.90625 5.515625 \n",
       "L 29.59375 7.234375 \n",
       "C 27.09375 5.8125 25.59375 5.3125 23.703125 5.3125 \n",
       "C 19.796875 5.3125 18.203125 7.34375 18.203125 12.3125 \n",
       "L 18.203125 38.890625 \n",
       "L 31 38.890625 \n",
       "L 31.90625 44 \n",
       "L 18.203125 44 \n",
       "L 18.203125 47.75 \n",
       "C 18.203125 51.890625 18.5 55.421875 19.296875 61.734375 \n",
       "L 18.09375 62.828125 \n",
       "C 15.703125 61.328125 12.703125 60.03125 9.59375 59.03125 \n",
       "C 9.90625 56.015625 10 54.109375 10 51.109375 \n",
       "L 10 44.09375 \n",
       "L 2.203125 40.59375 \n",
       "L 2.203125 38.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-116\"/>\n",
       "      <path d=\"M 18.796875 46.765625 \n",
       "L 17.90625 47.171875 \n",
       "C 12.796875 45.0625 7.59375 43.640625 2.296875 43.046875 \n",
       "L 2.296875 40.25 \n",
       "L 6 40.25 \n",
       "C 10 40.25 10.40625 39.546875 10.40625 32.890625 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.171875 \n",
       "z\n",
       "M 14.203125 69 \n",
       "C 11.203125 69 8.59375 66.390625 8.59375 63.375 \n",
       "C 8.59375 60.46875 11.203125 57.875 14.09375 57.875 \n",
       "C 17 57.875 19.703125 60.46875 19.703125 63.375 \n",
       "C 19.703125 66.1875 17 69 14.203125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-105\"/>\n",
       "      <path d=\"M 1.796875 40.078125 \n",
       "L 5.5 40.078125 \n",
       "C 9.5 40.078125 9.90625 39.375 9.90625 32.71875 \n",
       "L 9.90625 10.046875 \n",
       "C 9.90625 3.703125 9.59375 3 6.203125 3 \n",
       "L 1.59375 3 \n",
       "L 1.59375 -0.109375 \n",
       "C 11.203125 -0.109375 11.5 -0.109375 14.296875 -0.109375 \n",
       "C 17.09375 -0.109375 19.703125 -0.109375 26.203125 -0.109375 \n",
       "L 26.203125 2.796875 \n",
       "L 22 3.203125 \n",
       "C 18.59375 3.203125 18.296875 3.90625 18.296875 10.21875 \n",
       "L 18.296875 31.46875 \n",
       "C 18.296875 35.96875 24.90625 40.875 30.90625 40.875 \n",
       "C 36.296875 40.875 40 35.734375 40 28.09375 \n",
       "L 40 10.046875 \n",
       "C 40 3.703125 39.703125 3 36.296875 3 \n",
       "L 31.703125 3 \n",
       "L 31.703125 -0.109375 \n",
       "C 41.703125 -0.109375 41.703125 -0.109375 44.203125 -0.109375 \n",
       "C 46.703125 -0.109375 46.703125 -0.109375 56.703125 -0.109375 \n",
       "L 56.703125 3 \n",
       "L 52.09375 3 \n",
       "C 48.703125 3 48.40625 3.703125 48.40625 10.046875 \n",
       "L 48.40625 31.421875 \n",
       "C 48.40625 35.9375 55 40.875 61 40.875 \n",
       "C 66.40625 40.875 70.09375 35.796875 70.09375 28.21875 \n",
       "L 70.09375 -0.109375 \n",
       "C 76.203125 -0.109375 76.296875 -0.109375 78 -0.109375 \n",
       "C 79.296875 -0.109375 79.296875 -0.109375 86.90625 -0.109375 \n",
       "L 86.90625 3 \n",
       "L 82.203125 3 \n",
       "C 78.796875 3 78.5 3.703125 78.5 10.046875 \n",
       "L 78.5 30.78125 \n",
       "C 78.5 40.75 72.703125 47 63.5 47 \n",
       "C 60 47 57.09375 46.09375 55.296875 44.484375 \n",
       "L 47.703125 37.6875 \n",
       "C 44.5 44.28125 40.40625 47 33.5 47 \n",
       "C 29.796875 47 27 46.09375 25.203125 44.484375 \n",
       "L 18.296875 38.078125 \n",
       "L 18.296875 46.59375 \n",
       "L 17.40625 47 \n",
       "C 12.296875 44.890625 7.09375 43.484375 1.796875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-109\"/>\n",
       "      <path d=\"M 32.40625 8.40625 \n",
       "L 31.90625 -0.015625 \n",
       "C 38.40625 -0.015625 38.40625 -0.015625 39.703125 -0.015625 \n",
       "C 40.203125 -0.015625 42.703125 -0.015625 47.09375 -0.015625 \n",
       "L 47.09375 3 \n",
       "L 43.203125 3 \n",
       "C 40.796875 3 40.40625 3.8125 40.40625 8.71875 \n",
       "L 40.40625 27.046875 \n",
       "C 40.40625 41.6875 36.203125 47 24.59375 47 \n",
       "C 20.296875 47 16.296875 45.890625 12.5 43.609375 \n",
       "L 7.203125 40.390625 \n",
       "L 7.203125 33.921875 \n",
       "L 9.796875 33.21875 \n",
       "L 11.09375 36.296875 \n",
       "C 13.203125 40.984375 14.203125 41.6875 18.796875 41.6875 \n",
       "C 28.203125 41.6875 32.09375 37.984375 32.40625 28.9375 \n",
       "L 22.5 27.125 \n",
       "C 8.90625 24.640625 3.203125 19.953125 3.203125 11.28125 \n",
       "C 3.203125 3.5 7.90625 -1 15.796875 -1 \n",
       "C 17.59375 -1 19.296875 -0.703125 20 -0.203125 \n",
       "z\n",
       "M 32.40625 12.59375 \n",
       "C 29.5 8.5 23.203125 4.71875 19.296875 4.71875 \n",
       "C 15.296875 4.71875 11.796875 8.40625 11.796875 12.6875 \n",
       "C 11.796875 16.375 13.796875 19.859375 16.796875 21.75 \n",
       "C 19.296875 23.25 24.796875 24.640625 32.40625 25.75 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-97\"/>\n",
       "      <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.15625 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-108\"/>\n",
       "      <path d=\"M 4.09375 14.328125 \n",
       "C 4.09375 7.421875 3.796875 4.40625 3 0.40625 \n",
       "C 8.203125 -1.296875 12.09375 -2 16.703125 -2 \n",
       "C 29.796875 -2 39.09375 5.015625 39.09375 14.828125 \n",
       "C 39.09375 17.9375 38.203125 20.234375 36.296875 22.25 \n",
       "C 33.703125 24.75 30.40625 25.953125 21.59375 27.65625 \n",
       "C 13.40625 29.265625 10.703125 31.265625 10.703125 35.875 \n",
       "C 10.703125 40.875 14.203125 43.6875 20.296875 43.6875 \n",
       "C 27 43.6875 32.09375 40.1875 32.09375 35.46875 \n",
       "L 32.09375 33.171875 \n",
       "L 34.90625 33.171875 \n",
       "C 35 38.984375 35.09375 41.375 35.40625 44.484375 \n",
       "C 30.09375 46.296875 26.5 47 22.40625 47 \n",
       "C 10.796875 47 3.703125 41.484375 3.703125 32.46875 \n",
       "C 3.703125 27.65625 5.90625 24.25 10.5 22.140625 \n",
       "C 13.203125 20.9375 18.5 19.34375 25.296875 17.828125 \n",
       "C 29.796875 16.828125 31.703125 14.734375 31.703125 10.921875 \n",
       "C 31.703125 5.515625 26.703125 1.703125 19.59375 1.703125 \n",
       "C 12.296875 1.703125 7.09375 5.203125 7.09375 10.21875 \n",
       "L 7.09375 14.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-115\"/>\n",
       "      <path d=\"M 51.90625 38 \n",
       "L 54.40625 42.109375 \n",
       "L 54 43.109375 \n",
       "L 39.796875 43.109375 \n",
       "C 36.09375 45.890625 32.5 47 27.59375 47 \n",
       "C 23.203125 47 18.09375 45.625 14 43.25 \n",
       "C 8.40625 40.109375 5.5 35.28125 5.5 29.28125 \n",
       "C 5.5 22 10.09375 16.984375 17.5 16.1875 \n",
       "L 9.59375 10 \n",
       "C 8.59375 8.484375 8.09375 7.171875 8.09375 5.640625 \n",
       "C 8.09375 2.8125 9.90625 1.1875 14.703125 -0.21875 \n",
       "L 6 -4.9375 \n",
       "C 4.59375 -5.734375 3.203125 -9.4375 3.203125 -12.546875 \n",
       "C 3.203125 -21.6875 12.09375 -28 24.796875 -28 \n",
       "C 39.90625 -28 51.796875 -18.46875 51.796875 -6.234375 \n",
       "C 51.796875 0.984375 47 6 40 6 \n",
       "L 24 6 \n",
       "C 18.796875 6 16.40625 7.21875 16.40625 9.984375 \n",
       "C 16.40625 11.3125 17.203125 12.421875 19.796875 14.671875 \n",
       "C 20.40625 15.1875 20.59375 15.390625 21 15.796875 \n",
       "C 22 15.6875 22.59375 15.59375 23.40625 15.59375 \n",
       "C 27.703125 15.59375 33 17.46875 37.09375 20.3125 \n",
       "C 41.59375 23.546875 43.796875 27.484375 43.796875 32.703125 \n",
       "C 43.796875 34.65625 43.5 35.9375 42.703125 38 \n",
       "z\n",
       "M 24 43.59375 \n",
       "C 30.796875 43.59375 35.40625 38.09375 35.40625 29.765625 \n",
       "C 35.40625 23.421875 31.203125 19 25.09375 19 \n",
       "C 18.40625 19 13.90625 24.09375 13.90625 31.640625 \n",
       "C 13.90625 39.171875 17.59375 43.59375 24 43.59375 \n",
       "z\n",
       "M 28.703125 -1.015625 \n",
       "C 40 -1.015625 43.90625 -3.3125 43.90625 -9.84375 \n",
       "C 43.90625 -18.46875 36 -24.890625 25.5 -24.890625 \n",
       "C 16.796875 -24.890625 10.796875 -19.78125 10.796875 -12.34375 \n",
       "C 10.796875 -7.84375 13.40625 -3.71875 17.40625 -2.015625 \n",
       "C 19 -1.21875 21.796875 -1.015625 28.703125 -1.015625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-103\"/>\n",
       "      <path d=\"M 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 46.59375 \n",
       "L 16.296875 47 \n",
       "C 11.203125 44.890625 6 43.484375 0.703125 42.890625 \n",
       "L 0.703125 40.078125 \n",
       "L 4.40625 40.078125 \n",
       "C 8.40625 40.078125 8.796875 39.375 8.796875 32.71875 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-110\"/>\n",
       "      <path d=\"M 34.09375 71.890625 \n",
       "C 32 72.6875 30.796875 73 29.5 73 \n",
       "C 26.296875 73 22.796875 71.296875 20.59375 68.8125 \n",
       "L 14.796875 62.265625 \n",
       "C 11.90625 58.984375 10.59375 54.53125 10.59375 47.96875 \n",
       "L 10.59375 43.796875 \n",
       "L 3.703125 40.6875 \n",
       "L 3.703125 38.6875 \n",
       "L 10.59375 38.6875 \n",
       "L 10.59375 10.171875 \n",
       "C 10.59375 3.8125 10.296875 3.109375 6.90625 3.109375 \n",
       "L 2.296875 3.109375 \n",
       "L 2.296875 0 \n",
       "C 12.296875 0 12.296875 0 14.796875 0 \n",
       "C 17.296875 0 17.296875 0 27.296875 0 \n",
       "L 27.296875 3.109375 \n",
       "L 22.703125 3.109375 \n",
       "C 19.296875 3.109375 19 3.828125 19 10.203125 \n",
       "L 19 38.890625 \n",
       "L 31.40625 38.890625 \n",
       "L 32.09375 44 \n",
       "L 19 44 \n",
       "L 19 52.34375 \n",
       "C 19 63.640625 20.296875 66.375 26 66.375 \n",
       "C 28.703125 66.375 30.5 65.6875 32.90625 63.609375 \n",
       "L 34.09375 64.203125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-102\"/>\n",
       "      <path d=\"M 50.296875 47.015625 \n",
       "L 49.40625 47.421875 \n",
       "C 44.296875 45.3125 39.09375 43.90625 33.796875 43.3125 \n",
       "L 33.796875 40.5 \n",
       "L 37.5 40.5 \n",
       "C 41.5 40.5 41.90625 39.796875 41.90625 33.140625 \n",
       "L 41.90625 16.71875 \n",
       "C 41.90625 14.5 40.5 11.671875 38.203125 9.359375 \n",
       "C 35.40625 6.53125 32.203125 5.109375 28.296875 5.109375 \n",
       "C 24.796875 5.109375 22 6.21875 20.40625 8.140625 \n",
       "C 19 9.75 18.296875 12.875 18.296875 17.296875 \n",
       "L 18.296875 47.015625 \n",
       "L 17.40625 47.421875 \n",
       "C 12.296875 45.3125 7.09375 43.90625 1.796875 43.3125 \n",
       "L 1.796875 40.5 \n",
       "L 5.5 40.5 \n",
       "C 9.5 40.5 9.90625 39.796875 9.90625 33.15625 \n",
       "L 9.90625 16.234375 \n",
       "C 9.90625 9.171875 10.5 6.046875 12.296875 3.546875 \n",
       "C 14.5 0.515625 18.296875 -1 24 -1 \n",
       "C 28.5 -1 32.5 0.40625 35.203125 2.90625 \n",
       "L 41.90625 9.140625 \n",
       "C 41.90625 6.265625 41.796875 4.65625 41.5 0 \n",
       "C 48.203125 0 48.296875 0 49.796875 0 \n",
       "C 51.203125 0 51.203125 0 58.09375 0 \n",
       "L 58.09375 2.90625 \n",
       "L 54 3.3125 \n",
       "C 50.59375 3.3125 50.296875 3.921875 50.296875 10.375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-117\"/>\n",
       "      <path d=\"M 39.90625 31.15625 \n",
       "C 39.90625 35.765625 40.40625 39.875 41.296875 43.484375 \n",
       "C 37.296875 45.890625 33.796875 47 29.703125 47 \n",
       "C 24.90625 47 19.296875 45.09375 13.296875 41.28125 \n",
       "C 6.296875 36.875 2.59375 29.859375 2.59375 21.046875 \n",
       "C 2.59375 7.515625 12.09375 -2 25.5 -2 \n",
       "C 30.703125 -2 38.203125 -0.09375 39.203125 1.40625 \n",
       "L 41.296875 4.609375 \n",
       "L 40.296875 6.109375 \n",
       "C 36.59375 4.109375 33.40625 3.203125 29.796875 3.203125 \n",
       "C 18.703125 3.203125 11.40625 11.828125 11.40625 25.046875 \n",
       "C 11.40625 35.765625 16.40625 41.78125 25.40625 41.78125 \n",
       "C 29.796875 41.78125 34.59375 39.78125 36.40625 37.28125 \n",
       "L 37.09375 31.15625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-99\"/>\n",
       "      <path d=\"M 27.90625 47 \n",
       "C 13.296875 47 3.203125 36.671875 3.203125 21.75 \n",
       "C 3.203125 7.609375 12.09375 -2 25 -2 \n",
       "C 40.40625 -2 51.40625 8.71875 51.40625 23.75 \n",
       "C 51.40625 37.28125 41.59375 47 27.90625 47 \n",
       "z\n",
       "M 26.09375 43.6875 \n",
       "C 35.296875 43.6875 42.09375 33.671875 42.09375 20.046875 \n",
       "C 42.09375 8.515625 37 1.296875 28.90625 1.296875 \n",
       "C 19.09375 1.296875 12.5 10.921875 12.5 25.15625 \n",
       "C 12.5 37.171875 17.296875 43.6875 26.09375 43.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-111\"/>\n",
       "      <path d=\"M 20.40625 12.328125 \n",
       "C 17.703125 11.421875 15.90625 10.828125 10.59375 9.3125 \n",
       "C 9.90625 1.703125 7.40625 -4.8125 1.59375 -14.421875 \n",
       "L 3 -15.53125 \n",
       "L 7.09375 -13.625 \n",
       "C 15.203125 -3.109375 19 3.203125 21.796875 10.921875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-44\"/>\n",
       "      <path d=\"M 40.796875 70.5 \n",
       "L 37.59375 70.5 \n",
       "C 35.796875 66.171875 34.296875 62.46875 33.703125 60.96875 \n",
       "L 28.40625 48.8125 \n",
       "L 10.59375 8.15625 \n",
       "C 9.40625 5.234375 7.40625 3.421875 5.203125 3.21875 \n",
       "L 1.5 2.921875 \n",
       "L 1.5 0 \n",
       "C 10.796875 0 10.796875 0 12.40625 0 \n",
       "C 13.703125 0 13.703125 0 24.5 0 \n",
       "L 24.5 2.921875 \n",
       "L 20.796875 3.21875 \n",
       "C 17.296875 3.53125 16 4.21875 16 5.796875 \n",
       "C 16 7.09375 17.40625 11.359375 19.5 16.34375 \n",
       "L 22.296875 23 \n",
       "L 51.09375 23 \n",
       "L 55.703125 11.453125 \n",
       "C 57.40625 7.234375 57.796875 5.921875 57.796875 5.03125 \n",
       "C 57.796875 3.921875 56.203125 3.21875 53.703125 3.015625 \n",
       "L 49 3.015625 \n",
       "L 49 0 \n",
       "C 61.296875 0 61.296875 0 62.90625 0 \n",
       "C 64.796875 0 64.796875 0 75.59375 0 \n",
       "L 75.59375 2.921875 \n",
       "L 72.203125 3.21875 \n",
       "C 69.59375 3.625 68.5 5.328125 65 13.453125 \n",
       "z\n",
       "M 24 27 \n",
       "L 36.703125 57.078125 \n",
       "L 49.296875 27 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-65\"/>\n",
       "      <path d=\"M 21.59375 64.796875 \n",
       "C 25 65.59375 28 66 31.40625 66 \n",
       "C 41.796875 66 47.59375 61.171875 47.59375 52.609375 \n",
       "C 47.59375 43.359375 40.296875 37.515625 28.703125 37.515625 \n",
       "C 28 37.515625 27.09375 37.515625 25.796875 37.609375 \n",
       "L 25.203125 36.40625 \n",
       "C 26.296875 35.09375 26.59375 34.703125 27.796875 33.390625 \n",
       "C 29.203125 31.796875 29.5 31.390625 30.40625 30.1875 \n",
       "L 48.796875 5.40625 \n",
       "C 49.40625 4.609375 50 3.796875 50.59375 3.109375 \n",
       "C 51.296875 2.203125 51.90625 1.296875 52.90625 0 \n",
       "C 57.59375 0 58.59375 0 59.703125 0 \n",
       "C 60.59375 0 60.59375 0 66.90625 0 \n",
       "L 66.90625 2.90625 \n",
       "C 63.703125 3.203125 62.09375 3.8125 60.796875 5.53125 \n",
       "L 38.09375 35.296875 \n",
       "C 43.703125 36.703125 46.296875 37.796875 49.59375 40.09375 \n",
       "C 54.796875 43.796875 57.59375 48.796875 57.59375 54.609375 \n",
       "C 57.59375 64.203125 50.59375 69.609375 38.203125 69.609375 \n",
       "L 36.59375 69.609375 \n",
       "C 23.59375 69.609375 23.59375 69.609375 20.203125 69.609375 \n",
       "C 16.90625 69.609375 16.90625 69.609375 2.90625 69.609375 \n",
       "L 2.90625 66.796875 \n",
       "L 7 66.296875 \n",
       "C 11.59375 66.296875 12.09375 65.375 12.09375 57.484375 \n",
       "L 12.09375 12.015625 \n",
       "C 12.09375 4.015625 11.59375 3.203125 7 3.203125 \n",
       "L 2.203125 3.203125 \n",
       "L 2.203125 0 \n",
       "C 8.09375 0 11.59375 0 16.796875 0 \n",
       "C 22 0 25.59375 0 31.5 0 \n",
       "L 31.5 3.203125 \n",
       "L 26.703125 3.203125 \n",
       "C 22.09375 3.203125 21.59375 4 21.59375 12 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-82\"/>\n",
       "      <path d=\"M 30.09375 -19.4375 \n",
       "C 22.90625 -10.515625 20.296875 -5.71875 17.703125 3.3125 \n",
       "C 15.59375 10.515625 14.59375 18.140625 14.59375 26.65625 \n",
       "C 14.59375 34.96875 15.59375 42.078125 17.5 48.59375 \n",
       "C 20.09375 56.90625 22.796875 61.625 30.09375 70.140625 \n",
       "L 28.203125 72.75 \n",
       "C 17.796875 63.421875 13.703125 57.921875 9.90625 48.09375 \n",
       "C 7.296875 41.375 6 34.265625 6 26.65625 \n",
       "C 6 15.9375 8.5 5.8125 13.296875 -3.203125 \n",
       "C 16.796875 -9.921875 20 -13.828125 28.203125 -21.546875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-40\"/>\n",
       "      <path d=\"M 1.59375 2.5 \n",
       "L 1.59375 0 \n",
       "C 20.296875 0 20.296875 0 23.90625 0 \n",
       "C 27.5 0 27.5 0 46.796875 0 \n",
       "C 46.59375 1.953125 46.59375 2.90625 46.59375 4.203125 \n",
       "C 46.59375 5.4375 46.59375 6.359375 46.796875 8.421875 \n",
       "C 35.296875 8.421875 30.703125 8.421875 12.203125 8.421875 \n",
       "L 30.40625 27.515625 \n",
       "C 40.09375 37.71875 43.09375 43.171875 43.09375 50.59375 \n",
       "C 43.09375 61.96875 35.296875 69 22.59375 69 \n",
       "C 15.40625 69 10.5 67 5.59375 62.015625 \n",
       "L 3.90625 48.421875 \n",
       "L 6.796875 48.421875 \n",
       "L 8.09375 53.015625 \n",
       "C 9.703125 58.796875 13.296875 61.296875 20 61.296875 \n",
       "C 28.59375 61.296875 34.09375 55.890625 34.09375 47.421875 \n",
       "C 34.09375 39.921875 29.90625 32.546875 18.59375 20.5625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-50\"/>\n",
       "      <path d=\"M 5.09375 -21.546875 \n",
       "C 12 -15.03125 14.90625 -11.71875 18 -6.8125 \n",
       "C 24.09375 2.90625 27.296875 14.53125 27.296875 26.546875 \n",
       "C 27.296875 34.265625 26 41.375 23.40625 48.09375 \n",
       "C 19.59375 57.8125 15.5 63.328125 5.09375 72.75 \n",
       "L 3.203125 70.140625 \n",
       "C 10.5 61.515625 13.203125 56.8125 15.703125 48.59375 \n",
       "C 17.703125 42.078125 18.703125 34.96875 18.703125 26.65625 \n",
       "C 18.703125 18.140625 17.703125 10.515625 15.59375 3.3125 \n",
       "C 13 -5.71875 10.40625 -10.515625 3.203125 -19.4375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-41\"/>\n",
       "      <path d=\"M 43.703125 6.984375 \n",
       "L 42.40625 7.984375 \n",
       "C 36 4.203125 33.703125 3.3125 29.40625 3.3125 \n",
       "C 22.90625 3.3125 17.5 6.21875 14.703125 11.109375 \n",
       "C 12.796875 14.390625 12.09375 17.203125 11.90625 23 \n",
       "L 26.5 23 \n",
       "C 33.40625 23 37.703125 23 44.59375 24.125 \n",
       "C 44.703125 25.53125 44.796875 26.453125 44.796875 27.671875 \n",
       "C 44.796875 39.375 37.40625 47 26.203125 47 \n",
       "C 22.5 47 18.203125 45.6875 14.09375 43.28125 \n",
       "C 5.90625 38.578125 2.59375 32.359375 2.59375 21.9375 \n",
       "C 2.59375 15.625 4.09375 10.21875 6.796875 6.40625 \n",
       "C 10.796875 1.109375 17.5 -2 25 -2 \n",
       "C 28.703125 -2 32.40625 -1.203125 36.5 0.578125 \n",
       "C 39.203125 1.6875 41.296875 2.984375 41.703125 3.59375 \n",
       "z\n",
       "M 35.90625 26.40625 \n",
       "C 30.703125 26.40625 28.296875 26.40625 24.703125 26.40625 \n",
       "C 20.09375 26.40625 17.5 26.40625 12.09375 26.90625 \n",
       "C 12.09375 31.671875 12.5 33.890625 13.796875 36.515625 \n",
       "C 15.90625 40.96875 20.203125 43.6875 25 43.6875 \n",
       "C 28.296875 43.6875 30.90625 42.359375 32.703125 39.59375 \n",
       "C 34.90625 36.234375 35.59375 33.265625 35.90625 26.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-101\"/>\n",
       "      <path d=\"M 28.796875 25.46875 \n",
       "L 43 42.09375 \n",
       "C 43.59375 42.796875 44.703125 43.203125 46.40625 43.203125 \n",
       "L 47.796875 43.203125 \n",
       "L 47.796875 46 \n",
       "L 39.59375 46 \n",
       "L 27.203125 28.46875 \n",
       "L 19.59375 40.09375 \n",
       "C 18.09375 42.296875 17 43.609375 13.59375 47.015625 \n",
       "L 2 45 \n",
       "L 2.5 42.3125 \n",
       "L 4.59375 42.09375 \n",
       "C 6.40625 42.09375 8.59375 40.703125 9.59375 39.296875 \n",
       "L 21.59375 21.84375 \n",
       "L 6.703125 4.203125 \n",
       "C 6 3.3125 4.703125 2.703125 3.703125 2.703125 \n",
       "L 2 2.703125 \n",
       "L 2 0 \n",
       "L 10.59375 0 \n",
       "C 11.296875 1.109375 11.5 1.5 12.703125 3.3125 \n",
       "C 14.296875 6.109375 15.90625 8.609375 16.59375 9.421875 \n",
       "L 24 19.234375 \n",
       "L 34.703125 3.25 \n",
       "L 34.796875 3.0625 \n",
       "C 35.703125 1.671875 36.5 0.6875 37.296875 0 \n",
       "C 42.5 0 42.5 0 43.40625 0 \n",
       "C 44.40625 0 44.40625 0 49.59375 0 \n",
       "L 49.59375 2.703125 \n",
       "L 47.09375 3 \n",
       "C 45.90625 3.109375 44.703125 3.90625 43.59375 5.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-120\"/>\n",
       "      <path d=\"M 12.40625 11.625 \n",
       "C 9.40625 11.625 6.703125 8.8125 6.703125 5.8125 \n",
       "C 6.703125 2.796875 9.40625 0 12.296875 0 \n",
       "C 15.5 0 18.296875 2.703125 18.296875 5.8125 \n",
       "C 18.296875 8.8125 15.5 11.625 12.40625 11.625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-46\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-79\"/>\n",
       "     <use transform=\"translate(78.306281 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(138.180675 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(170.657763 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(199.648124 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(287.617799 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(337.430999 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(391.327961 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(433.569427 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(462.559789 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "     <use transform=\"translate(517.951466 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(575.933526 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(625.746727 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(679.643688 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(729.456889 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(796.604956 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "     <use transform=\"translate(829.780185 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "     <use transform=\"translate(889.85392 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(947.835981 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(992.069549 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1024.546637 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1053.536999 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1107.932579 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(1190.82124 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1245.21682 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "     <use transform=\"translate(1303.54767 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-107\"/>\n",
       "     <use transform=\"translate(1355.402273 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(1405.215473 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-65\"/>\n",
       "     <use transform=\"translate(1482.723843 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-82\"/>\n",
       "     <use transform=\"translate(1549.273537 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "     <use transform=\"translate(1582.448767 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "     <use transform=\"translate(1632.261967 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     <use transform=\"translate(1690.343797 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(1738.064093 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-120\"/>\n",
       "     <use transform=\"translate(1789.47044 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1839.28364 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(1927.253315 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(1987.127708 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(2016.11807 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(2063.838365 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 292.519335 118.053594 \n",
       "L 442.4 118.053594 \n",
       "L 442.4 84.003254 \n",
       "L 292.519335 84.003254 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_9\">\n",
       "     <path d=\"M 298.919335 93.682004 \n",
       "L 314.919335 93.682004 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_10\"/>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- Signal weight on $X_{t}$, $\\omega$ (left axis) -->\n",
       "     <g transform=\"translate(321.319335 96.482004)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 44.703125 52.671875 \n",
       "C 44.703125 57.984375 45.09375 61.375 46.09375 66.78125 \n",
       "C 38.09375 70 33.59375 71 28.09375 71 \n",
       "C 13.203125 71 2.40625 61.578125 2.40625 48.46875 \n",
       "C 2.40625 43.5625 3.703125 39.953125 6.59375 37.25 \n",
       "C 10 34.15625 14.59375 32.546875 24.296875 31.25 \n",
       "C 32 30.140625 35.5 29.046875 38.09375 26.734375 \n",
       "C 40.703125 24.640625 41.90625 21.734375 41.90625 17.921875 \n",
       "C 41.90625 8.921875 34.40625 2.40625 24 2.40625 \n",
       "C 16 2.40625 8.203125 6.3125 7.703125 10.40625 \n",
       "L 6.90625 17.125 \n",
       "L 3.703125 17.125 \n",
       "C 3.796875 15.3125 3.796875 13.71875 3.796875 13.125 \n",
       "C 3.796875 8.515625 3.59375 6.3125 3 1.8125 \n",
       "C 8.703125 -0.703125 14.5 -2 20.296875 -2 \n",
       "C 37.703125 -2 50.296875 8.515625 50.296875 23.03125 \n",
       "C 50.296875 27.734375 49 31.046875 46.203125 33.640625 \n",
       "C 42.703125 36.9375 38.5 38.25 27.296875 39.75 \n",
       "C 15.09375 41.34375 10.796875 44.65625 10.796875 52.375 \n",
       "C 10.796875 60.78125 17.09375 66.78125 25.90625 66.78125 \n",
       "C 29.796875 66.78125 33.5 65.984375 36.203125 64.484375 \n",
       "C 39.5 62.78125 40.59375 61.28125 40.90625 58.390625 \n",
       "L 41.5 52.671875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-83\"/>\n",
       "       <path d=\"M 41.296875 47 \n",
       "C 33.09375 27.9375 31.59375 24.546875 25.40625 10.578125 \n",
       "L 17 38.1875 \n",
       "C 16.703125 39.09375 16.59375 39.890625 16.59375 40.6875 \n",
       "C 16.59375 42.1875 17.90625 43 20.40625 43 \n",
       "L 24.40625 43 \n",
       "L 24.40625 45.8125 \n",
       "C 14.5 45.8125 14.5 45.8125 12.5 45.8125 \n",
       "C 10.5 45.8125 10.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43.203125 \n",
       "L 3.40625 43 \n",
       "C 6.203125 42.796875 7.5 40.8125 10 33.03125 \n",
       "L 20.203125 -0.5 \n",
       "L 24.90625 -0.5 \n",
       "L 34.703125 22.453125 \n",
       "C 35.203125 23.65625 36.296875 26.046875 37.90625 29.4375 \n",
       "L 39.90625 33.625 \n",
       "L 53.5 -0.5 \n",
       "L 58.09375 -0.5 \n",
       "C 58.796875 1.59375 59.59375 3.890625 60.40625 6.078125 \n",
       "C 62.40625 11.984375 64.59375 18.15625 65 18.765625 \n",
       "L 71.796875 34.3125 \n",
       "C 74.796875 41.015625 76 42.703125 78.203125 43 \n",
       "L 80.796875 43.203125 \n",
       "L 80.796875 45.8125 \n",
       "C 72.59375 45.8125 72.59375 45.8125 71 45.8125 \n",
       "C 69.40625 45.8125 69.40625 45.8125 61.203125 45.8125 \n",
       "L 61.203125 43 \n",
       "L 64.59375 43 \n",
       "C 67.09375 43 68.5 41.796875 68.5 39.984375 \n",
       "C 68.5 38.890625 68.296875 37.6875 67.796875 36.390625 \n",
       "L 62.796875 22.390625 \n",
       "C 62 20.1875 61.203125 18.171875 58 9.96875 \n",
       "L 46.5 38.90625 \n",
       "C 45.09375 42.296875 44.40625 44.296875 43.59375 47 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-119\"/>\n",
       "       <path d=\"M 0.703125 66.375 \n",
       "L 6.296875 66.375 \n",
       "C 8.09375 66.375 8.796875 65.265625 8.796875 62.25 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "L 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 72.078125 \n",
       "L 16.296875 72.890625 \n",
       "C 11.90625 71.1875 8.59375 70.375 0.703125 69.171875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-104\"/>\n",
       "       <path d=\"M 41.59375 2.6875 \n",
       "L 41.59375 0 \n",
       "C 46.40625 0 50.90625 0 55.09375 0 \n",
       "C 59.09375 0 63.59375 0 68.40625 0 \n",
       "L 68.40625 2.6875 \n",
       "L 65.90625 2.890625 \n",
       "C 61.796875 3.1875 60.5 3.890625 59.09375 6.28125 \n",
       "L 42 36.890625 \n",
       "L 64.09375 62.03125 \n",
       "C 67.09375 65.328125 68 65.921875 70.59375 66.21875 \n",
       "L 73.40625 66.421875 \n",
       "L 73.40625 69 \n",
       "L 62 69 \n",
       "C 60.796875 69 59.40625 69 50.5 69 \n",
       "L 50.5 66.21875 \n",
       "L 53.796875 66.21875 \n",
       "C 57 66.21875 58.296875 65.71875 58.296875 64.515625 \n",
       "C 58.296875 63.40625 57.796875 62.5 56 60.28125 \n",
       "L 39.90625 40.578125 \n",
       "L 29.5 60.578125 \n",
       "C 28.59375 62.40625 28.09375 63.609375 28.09375 64.40625 \n",
       "C 28.09375 65.625 29.40625 66.21875 32.40625 66.21875 \n",
       "L 36.09375 66.21875 \n",
       "L 36.09375 69 \n",
       "L 31.5 69 \n",
       "C 27.40625 69 24.40625 69 22.796875 69 \n",
       "C 21.09375 69 18.09375 69 14 69 \n",
       "L 9.5 69 \n",
       "L 9.5 66.421875 \n",
       "L 12.09375 66.21875 \n",
       "C 17 65.71875 18.203125 65.015625 20.203125 61.34375 \n",
       "L 34.796875 34.40625 \n",
       "L 11 6.28125 \n",
       "C 9.5 4.484375 7.203125 3.296875 4.796875 2.984375 \n",
       "L 2 2.6875 \n",
       "L 2 0 \n",
       "C 6.90625 0 11 0 14.5 0 \n",
       "C 18.09375 0 22.09375 0 26.40625 0 \n",
       "L 26.40625 2.6875 \n",
       "L 23.203125 2.984375 \n",
       "C 19.40625 3.390625 17.703125 3.96875 17.703125 5.171875 \n",
       "C 17.703125 5.96875 18.09375 6.859375 18.703125 7.65625 \n",
       "L 36.90625 30.71875 \n",
       "L 48.796875 8.171875 \n",
       "C 49.703125 6.375 50.203125 5.078125 50.203125 4.1875 \n",
       "C 50.203125 3.3125 49.5 2.984375 47 2.984375 \n",
       "L 45.40625 2.984375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-88\"/>\n",
       "       <path d=\"M 12.5 38.515625 \n",
       "L 6.90625 10.484375 \n",
       "C 6.796875 9.78125 6.703125 9.609375 6.40625 8.40625 \n",
       "C 5.796875 5.640625 5.59375 4.140625 5.59375 2.96875 \n",
       "C 5.59375 0.484375 6.703125 -1 8.59375 -1 \n",
       "C 12.09375 -1 15.59375 0.96875 23.40625 7.234375 \n",
       "L 24.90625 8.40625 \n",
       "L 26.5 9.703125 \n",
       "L 25.5 11.484375 \n",
       "L 21 8.40625 \n",
       "C 18.09375 6.4375 16.09375 5.4375 15 5.4375 \n",
       "C 14.09375 5.4375 13.59375 6.234375 13.59375 7.40625 \n",
       "C 13.59375 9.984375 15 18.015625 17.90625 32.375 \n",
       "L 19.203125 38.515625 \n",
       "L 29.90625 38.515625 \n",
       "L 31 43.5 \n",
       "C 27.203125 43 23.796875 43 20 43 \n",
       "C 21.59375 52.3125 22.703125 57.171875 24.5 62.515625 \n",
       "L 23.40625 64.015625 \n",
       "C 21.40625 62.828125 18.703125 61.625 15.59375 60.4375 \n",
       "L 13.09375 43.5 \n",
       "C 8.703125 41.40625 6.09375 40.3125 4.296875 39.8125 \n",
       "L 4.09375 38.515625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-116\"/>\n",
       "       <path d=\"M 22.5 48.515625 \n",
       "C 19.90625 46.609375 15.40625 43.28125 12.796875 40.875 \n",
       "C 5.5 34.15625 1.5 25.421875 1.5 17.78125 \n",
       "C 1.5 11.953125 1.796875 6.9375 5.09375 3.015625 \n",
       "C 7.296875 0.40625 9.59375 -1 13.296875 -1 \n",
       "C 16.203125 -1 20 0.609375 22.796875 2.21875 \n",
       "C 26.703125 4.40625 28.703125 6.421875 32.203125 9.328125 \n",
       "C 33.203125 3.125 37.296875 -1 43 -1 \n",
       "C 47.40625 -1 51.5 1.015625 56.296875 5.53125 \n",
       "C 60.59375 9.65625 65 15.96875 67.90625 22.296875 \n",
       "C 70.40625 27.609375 72.09375 34.4375 72.09375 38.65625 \n",
       "C 72.09375 44.484375 69.59375 48.5 65.90625 48.5 \n",
       "C 64.5 48.5 63.5 48.09375 62.59375 47.28125 \n",
       "L 57.59375 42.515625 \n",
       "L 58.703125 40.59375 \n",
       "C 59.59375 41.203125 60.40625 41.5 61.40625 41.5 \n",
       "C 64.203125 41.5 65.59375 39.1875 65.59375 35.1875 \n",
       "C 65.59375 20.265625 56 4.03125 47.203125 4.03125 \n",
       "C 42.296875 4.03125 39.203125 8.125 39.203125 14.734375 \n",
       "C 39.203125 16.25 39.203125 17.546875 39.796875 20.140625 \n",
       "L 41.703125 27.859375 \n",
       "C 42.09375 29.5625 42.703125 30.96875 43.296875 32.671875 \n",
       "L 42.203125 34.078125 \n",
       "L 35.703125 31.46875 \n",
       "L 33 19.25 \n",
       "C 31.796875 15.84375 30.796875 11.640625 27.90625 9.125 \n",
       "C 25.09375 6.734375 22.203125 5.125 18.796875 5.125 \n",
       "C 15.90625 5.125 13.40625 6.4375 11.796875 8.4375 \n",
       "C 9.703125 10.75 9.09375 14.375 9.09375 17.375 \n",
       "C 9.09375 26.625 11.5 34.75 20.09375 42.890625 \n",
       "C 21.203125 43.890625 23.09375 45.59375 24.09375 46.703125 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-119\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-83\"/>\n",
       "      <use transform=\"translate(52.303815 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(81.294176 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(136.685853 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(194.667914 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(244.481115 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(298.378076 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(381.466169 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(429.186464 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(458.176826 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(513.568503 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(571.550564 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(628.934252 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(683.329832 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(768.958234 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(842.083945 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(868.741077 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "      <use transform=\"translate(919.799577 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-119\"/>\n",
       "      <use transform=\"translate(1022.065098 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "      <use transform=\"translate(1055.240328 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(1084.230689 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(1131.950985 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(1165.126214 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1222.509902 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1272.323103 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-120\"/>\n",
       "      <use transform=\"translate(1323.72945 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1352.719812 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(1394.961278 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_11\">\n",
       "     <path d=\"M 298.919335 106.008277 \n",
       "L 314.919335 106.008277 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_12\"/>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- St. dev. of noise  $\\sigma_{\\psi}$ (right axis) -->\n",
       "     <g transform=\"translate(321.319335 108.808277)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 41.203125 43.78125 \n",
       "C 35.59375 46.1875 32.796875 47 29.296875 47 \n",
       "C 26.59375 47 24.203125 46.390625 21.703125 45.109375 \n",
       "L 12.90625 40.515625 \n",
       "C 7.203125 37.515625 3.5 30.234375 3.5 21.75 \n",
       "C 3.5 13.765625 6.203125 7.1875 11.09375 3.1875 \n",
       "C 14.5 0.296875 19.203125 -1 25.703125 -1 \n",
       "C 27.703125 -1 30 -0.59375 30.5 -0.203125 \n",
       "L 41.59375 9.109375 \n",
       "L 41.09375 -0.109375 \n",
       "C 46 -0.109375 47.59375 -0.109375 48.796875 -0.109375 \n",
       "C 49.59375 -0.109375 51 -0.109375 53.09375 -0.109375 \n",
       "C 53.796875 -0.109375 55.796875 -0.109375 57.90625 -0.109375 \n",
       "L 57.90625 3 \n",
       "L 53.296875 3 \n",
       "C 49.90625 3 49.59375 3.703125 49.59375 10.046875 \n",
       "L 49.59375 71.984375 \n",
       "L 48.703125 72.796875 \n",
       "C 44.296875 71.09375 41 70.28125 33.09375 69.078125 \n",
       "L 33.09375 66.28125 \n",
       "L 38.703125 66.28125 \n",
       "C 40.5 66.28125 41.203125 65.171875 41.203125 62.15625 \n",
       "z\n",
       "M 41.203125 22.25 \n",
       "C 41.203125 15.765625 41 14.78125 39.703125 12.484375 \n",
       "C 36.90625 7.796875 32 4.71875 27.296875 4.71875 \n",
       "C 18.5 4.71875 12.203125 13.1875 12.203125 25.046875 \n",
       "C 12.203125 35.90625 17.59375 42.28125 26.59375 42.28125 \n",
       "C 30.40625 42.28125 34.40625 40.984375 37.90625 38.59375 \n",
       "C 40 37.203125 41.203125 35.90625 41.203125 35.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-100\"/>\n",
       "       <path d=\"M 53.90625 43 \n",
       "L 53.90625 45.8125 \n",
       "C 47.90625 45.8125 46.09375 45.8125 44.5 45.8125 \n",
       "C 42.90625 45.8125 41.09375 45.8125 35.09375 45.8125 \n",
       "L 35.09375 43 \n",
       "L 39.203125 43 \n",
       "C 40.796875 43 41.59375 42.09375 41.59375 40.484375 \n",
       "C 41.59375 38.890625 40.90625 36.203125 39.703125 33.1875 \n",
       "L 35.5 22.578125 \n",
       "C 34.296875 19.671875 33.09375 16.875 29.296875 8.578125 \n",
       "L 17.40625 37.390625 \n",
       "C 16.796875 38.78125 16.5 40.09375 16.5 41.1875 \n",
       "C 16.5 42.296875 17.40625 43 19 43 \n",
       "L 23.90625 43 \n",
       "L 23.90625 45.8125 \n",
       "C 14.09375 45.8125 14.09375 45.8125 12.203125 45.8125 \n",
       "C 10.296875 45.8125 5.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43 \n",
       "L 4 43 \n",
       "C 5.5 42.796875 6 42.203125 7.09375 39.703125 \n",
       "L 24.296875 -0.5 \n",
       "L 29.296875 -0.5 \n",
       "C 29.90625 1.203125 30.90625 3.796875 30.90625 4 \n",
       "C 32 6.984375 33.296875 10.375 33.40625 10.375 \n",
       "L 45.203125 36.3125 \n",
       "C 47.40625 41.015625 48.796875 42.796875 50.796875 43 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-118\"/>\n",
       "       <path d=\"M 58.09375 49.40625 \n",
       "C 55.40625 48.5 50.796875 48 47.5 48 \n",
       "C 44.59375 48 39.59375 48 36.90625 48 \n",
       "C 33.796875 48 30.296875 48 27.90625 48 \n",
       "C 23.5 48 19.296875 46.5 14.90625 43.515625 \n",
       "C 6.40625 37.765625 1.703125 27.625 1.703125 15.203125 \n",
       "C 1.703125 2.78125 6.296875 -1 12.796875 -1 \n",
       "C 17.203125 -1 21.296875 1 26.09375 5.46875 \n",
       "C 30.40625 9.5625 34.796875 15.8125 37.703125 22.09375 \n",
       "C 40.203125 27.359375 42 34.140625 42 38.3125 \n",
       "C 42 39.59375 41.796875 40.796875 41.5 41.890625 \n",
       "C 44.796875 41.890625 47.59375 41.890625 49.796875 41.890625 \n",
       "C 51.59375 41.890625 53.796875 42.6875 55.40625 43.265625 \n",
       "C 56.5 45.34375 56.90625 45.828125 58.796875 48.203125 \n",
       "z\n",
       "M 24 44.375 \n",
       "C 30.09375 44.375 35.5 43.375 35.5 35.609375 \n",
       "C 35.5 20.765625 25.796875 4.03125 17 4.03125 \n",
       "C 12.09375 4.03125 9.296875 8.609375 9.296875 15.171875 \n",
       "C 9.296875 27.046875 13.296875 38.8125 18.09375 42.6875 \n",
       "C 19.40625 43.78125 21.59375 44.375 24 44.375 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-115\"/>\n",
       "       <path d=\"M 37.703125 24.203125 \n",
       "C 37.703125 24.203125 39.59375 34.65625 41.203125 43.6875 \n",
       "C 42.796875 53.125 43.90625 58.046875 45.703125 63.46875 \n",
       "L 44.59375 64.984375 \n",
       "C 42.59375 63.765625 39.90625 62.5625 36.796875 61.359375 \n",
       "C 34 41.484375 31.203125 23.109375 27.796875 4.21875 \n",
       "C 22.59375 4.734375 15.796875 6.734375 15.796875 14.765625 \n",
       "C 15.796875 16.28125 16 18.1875 16.40625 20.09375 \n",
       "L 20.5 41.078125 \n",
       "C 20.796875 42.6875 21 44.09375 21 45.390625 \n",
       "C 21 47.3125 20.203125 48.515625 18.796875 48.515625 \n",
       "C 16.703125 48.515625 13 46.5 5.5 41.078125 \n",
       "L 2.703125 39.078125 \n",
       "L 3.40625 37.0625 \n",
       "L 6.59375 39.171875 \n",
       "C 9.5 40.984375 10.5 41.484375 11.40625 41.484375 \n",
       "C 12.40625 41.484375 13.09375 40.578125 13.09375 39.46875 \n",
       "C 13.09375 38.96875 13 38.171875 12.90625 37.671875 \n",
       "L 8.59375 14.765625 \n",
       "C 8.5 13.96875 8.5 13.0625 8.5 12.265625 \n",
       "C 8.5 5.328125 15.90625 -1 25.90625 -1 \n",
       "L 26.796875 -1 \n",
       "C 25.40625 -8.328125 23.90625 -15.65625 22.296875 -23.28125 \n",
       "L 21.5 -27 \n",
       "L 22.203125 -27.609375 \n",
       "C 24.296875 -26.90625 26.296875 -26.40625 29.5 -25.890625 \n",
       "L 33.703125 -0.1875 \n",
       "C 37.59375 0.609375 42.5 2.625 47.5 7.234375 \n",
       "C 51.90625 11.25 54.90625 15.96875 57.796875 22.296875 \n",
       "C 60.296875 27.625 62 34.453125 62 38.671875 \n",
       "C 62 44.5 59.5 48.515625 55.796875 48.515625 \n",
       "C 54.40625 48.515625 53.40625 48.109375 52.5 47.3125 \n",
       "L 47.5 42.59375 \n",
       "L 48.59375 40.6875 \n",
       "C 49.5 41.21875 50.296875 41.484375 51.296875 41.484375 \n",
       "C 54.09375 41.484375 55.59375 39.171875 55.59375 35.171875 \n",
       "C 55.59375 13.828125 44 5.625 34.40625 4.328125 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-121\"/>\n",
       "       <path d=\"M 2.296875 40.078125 \n",
       "L 6 40.078125 \n",
       "C 10 40.078125 10.40625 39.375 10.40625 32.71875 \n",
       "L 10.40625 10.046875 \n",
       "C 10.40625 3.703125 10.09375 3 6.703125 3 \n",
       "L 2.09375 3 \n",
       "L 2.09375 -0.109375 \n",
       "C 9.296875 -0.109375 11.90625 -0.109375 14.40625 -0.109375 \n",
       "C 16.40625 -0.109375 16.40625 -0.109375 28.703125 -0.109375 \n",
       "L 28.703125 3 \n",
       "L 23.5 3 \n",
       "C 19 3 18.796875 3.296875 18.796875 9.96875 \n",
       "L 18.796875 27.359375 \n",
       "C 18.796875 33.421875 22.796875 38.484375 27.703125 38.484375 \n",
       "C 30.703125 38.484375 32.796875 37.078125 34.40625 33.890625 \n",
       "L 36.5 33.890625 \n",
       "L 37.40625 45.890625 \n",
       "C 36.296875 46.59375 34.5 47 32.703125 47 \n",
       "C 29.703125 47 26.5 45.390625 24.40625 42.890625 \n",
       "L 18.796875 36.28125 \n",
       "L 18.796875 46.59375 \n",
       "L 17.90625 47 \n",
       "C 12.796875 44.890625 7.59375 43.484375 2.296875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-114\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-83\"/>\n",
       "      <use transform=\"translate(52.303815 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(84.780903 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "      <use transform=\"translate(140.571535 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(201.443166 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(249.163461 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-118\"/>\n",
       "      <use transform=\"translate(294.392929 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "      <use transform=\"translate(350.183562 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(404.579142 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(462.660972 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(520.643032 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(575.038613 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(604.028974 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(646.27044 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(720.142635 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-115\"/>\n",
       "      <use transform=\"translate(770.952039 -14.943915)scale(0.757155)\" xlink:href=\"#Pazo_Math_Italic-121\"/>\n",
       "      <use transform=\"translate(846.51826 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "      <use transform=\"translate(879.69349 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(919.045386 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(948.035747 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(1003.427424 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(1061.409485 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1118.793173 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1168.606374 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-120\"/>\n",
       "      <use transform=\"translate(1220.012721 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1249.003082 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(1291.244549 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 446.4 186.093965 \n",
       "L 446.4 15.962883 \n",
       "L 19.961999 15.962883 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_5\"/>\n",
       "    <g id=\"xtick_6\"/>\n",
       "    <g id=\"xtick_7\"/>\n",
       "    <g id=\"xtick_8\"/>\n",
       "    <g id=\"xtick_9\"/>\n",
       "    <g id=\"xtick_10\"/>\n",
       "    <g id=\"xtick_11\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -2.5 0 \n",
       "\" id=\"m6331c1833d\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"446.4\" xlink:href=\"#m6331c1833d\" y=\"184.426014\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(449.9 187.085467)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"446.4\" xlink:href=\"#m6331c1833d\" y=\"101.028424\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(449.9 103.687877)scale(0.07 -0.07)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"446.4\" xlink:href=\"#m6331c1833d\" y=\"17.630835\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(449.9 20.290288)scale(0.07 -0.07)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 19.961999 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 446.4 186.093965 \n",
       "L 446.4 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 19.961999 186.093965 \n",
       "L 446.4 186.093965 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 19.961999 15.962883 \n",
       "L 446.4 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#p66634b342c)\" d=\"M 25.181927 -1 \n",
       "L 25.292474 6.60554 \n",
       "L 26.695231 53.052846 \n",
       "L 28.097987 80.372091 \n",
       "L 29.500744 98.350488 \n",
       "L 30.903501 111.076842 \n",
       "L 32.306257 120.560125 \n",
       "L 33.709014 127.899028 \n",
       "L 35.11177 133.73988 \n",
       "L 36.514527 138.507263 \n",
       "L 37.917283 142.466196 \n",
       "L 39.32004 145.803819 \n",
       "L 40.722797 148.657515 \n",
       "L 42.125553 151.12789 \n",
       "L 43.52831 153.280434 \n",
       "L 44.931066 155.177668 \n",
       "L 46.333823 156.862279 \n",
       "L 49.139336 159.71654 \n",
       "L 51.944849 162.042585 \n",
       "L 54.750362 163.97765 \n",
       "L 57.555876 165.610717 \n",
       "L 60.361389 167.007159 \n",
       "L 63.166902 168.216703 \n",
       "L 67.375172 169.752931 \n",
       "L 71.583441 171.03597 \n",
       "L 77.194468 172.448091 \n",
       "L 82.805494 173.610128 \n",
       "L 89.819277 174.805795 \n",
       "L 98.235816 175.970665 \n",
       "L 108.055113 177.065964 \n",
       "L 119.277165 178.069805 \n",
       "L 133.304731 179.07939 \n",
       "L 148.735053 179.961492 \n",
       "L 166.970889 180.786109 \n",
       "L 189.414994 181.570981 \n",
       "L 216.067369 182.269773 \n",
       "L 248.330771 182.880291 \n",
       "L 287.607955 183.388844 \n",
       "L 336.704435 183.792574 \n",
       "L 402.633995 184.097511 \n",
       "L 469 184.255651 \n",
       "L 469 184.255651 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p66634b342c\">\n",
       "   <rect height=\"170.131082\" width=\"426.438001\" x=\"19.961999\" y=\"15.962883\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "cell_type": "code",
   "source": [
    "a = fill(NaN, n_κ, 1)\n",
    "\n",
    "plot(κ_seq,[ω_sol[:,1] a],\n",
    "    xlabel      = L\"$\\kappa$\",\n",
    "    label       = [L\"Signal weight on $X_{t}$, $\\omega$ (left axis)\" L\"St. dev. of noise  $\\sigma_{\\psi}$ (right axis)\"],\n",
    "    title       = L\"Optimal signal as function of $\\kappa$, AR(2) example.\",\n",
    "    linestyle   = [:solid :dash], color = [:black :gray40],\n",
    "    xticks      = (0:1:3),\n",
    "    xlim        = (-0.02,3.02),\n",
    "    yticks      = (0:0.5:1),\n",
    "    ylim        = (-0.01,1.01),\n",
    "    lw          = 2, grid = :off, legend = :right,\n",
    "    titlefont   = font(10), legendfont = font(8), tickfont = font(8),\n",
    "    framestyle  = :box)\n",
    "plot!(twinx(),κ_seq,σz_sol[:,1],\n",
    "    linestyle   = :dash, color = :gray40,\n",
    "    label       = \"\",\n",
    "    xlim        = (-0.02,3.02),\n",
    "    xticks      = false,\n",
    "    yticks      = (0:6:12),\n",
    "    ylim        = (-0.12,12.12),\n",
    "    lw          = 2, tickfont = font(7),\n",
    "    size        = (650,300),\n",
    "    grid        = :off, framestyle  = :box)"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Measure Performance\n",
    "Benchmark the solution for random values of $\\phi_2$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  431.52 KiB\n  allocs estimate:  4150\n  --------------\n  minimum time:     214.093 μs (0.00% GC)\n  median time:      288.728 μs (0.00% GC)\n  mean time:        321.188 μs (11.65% GC)\n  maximum time:     16.050 ms (97.58% GC)\n  --------------\n  samples:          10000\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "cell_type": "code",
   "source": [
    "using BenchmarkTools;\n",
    "@benchmark Drip(κ,β,[0.9-ϕ2 ϕ2; 1.0 0.0],Q,H,fcap = true) setup = (ϕ2 = 0.9*rand())"
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "source": [
    "Benchmark the solution for random values of $κ$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  74.66 KiB\n  allocs estimate:  729\n  --------------\n  minimum time:     41.237 μs (0.00% GC)\n  median time:      135.851 μs (0.00% GC)\n  mean time:        227.236 μs (10.97% GC)\n  maximum time:     16.126 ms (96.27% GC)\n  --------------\n  samples:          10000\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "cell_type": "code",
   "source": [
    "@benchmark Drip(κ,β,[0.5 0.4; 1.0 0.0],Q,H,fcap = true) setup = (κ = rand())"
   ],
   "metadata": {},
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Ex. 2: AR(3) and ARMA(2,1) Processes"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Here, we replicate the AR(3) and ARMA(2,1) examples in Mackowiak, Matejka and Wiederholt (2018).\n",
    "Using a similar method to the AR(2) case, we can write the law of motion of optimal actions as a state-space form."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Solve and Meausre Performance"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### The AR(3) Example"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Initialize:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "β       = 1.0           ;\n",
    "θ0      = 1.0           ;\n",
    "κ       = 10.8          ;\n",
    "\n",
    "ϕ1      = 1.5           ;\n",
    "ϕ2      = -0.9          ;\n",
    "ϕ3      = 0.1           ;\n",
    "\n",
    "A   = [ϕ1 ϕ2 ϕ3 ; 1 0 0 ; 0 1 0] ;\n",
    "Q   = [θ0 ; 0; 0]   ;\n",
    "H   = [1  ; 0; 0]   ;"
   ],
   "metadata": {},
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "Solve:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ex2a  = Drip(κ,β,A,Q,H;tol=1e-8);"
   ],
   "metadata": {},
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "source": [
    "Measure performance for different values of $\\kappa$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  147.59 KiB\n  allocs estimate:  1044\n  --------------\n  minimum time:     155.353 μs (0.00% GC)\n  median time:      622.000 μs (0.00% GC)\n  mean time:        680.100 μs (11.06% GC)\n  maximum time:     28.590 ms (96.80% GC)\n  --------------\n  samples:          7332\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 11
    }
   ],
   "cell_type": "code",
   "source": [
    "@benchmark Drip(κ,β,A,Q,H;tol=1e-8) setup = (κ = 10*rand())"
   ],
   "metadata": {},
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "source": [
    "To be consistent with MMW(2018), scale the signal vector so that the weight on the first element is one ($h_1 = 1$):"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.05349220551890679"
     },
     "metadata": {},
     "execution_count": 12
    }
   ],
   "cell_type": "code",
   "source": [
    "h1 = 1;\n",
    "h2 = ex2a.ss.Y[2]/ex2a.ss.Y[1]\n",
    "h3 = ex2a.ss.Y[3]/ex2a.ss.Y[1]"
   ],
   "metadata": {},
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "source": [
    "Print the weights:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  h1 = 1.000, h2 = -0.475, h3 = 0.053\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "s = @sprintf(\"  h1 = %5.3f, h2 = %5.3f, h3 = %5.3f\", h1, h2, h3)  ;\n",
    "println(s) ;"
   ],
   "metadata": {},
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "source": [
    "Since we scaled the signal vector, we also need to adjust the noise in the signal accordingly:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.7839654755293674"
     },
     "metadata": {},
     "execution_count": 14
    }
   ],
   "cell_type": "code",
   "source": [
    "AdjNoise   = 3.879\n",
    "AdjPara_ex2a= AdjNoise*ex2a.ss.Y[1]"
   ],
   "metadata": {},
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate IRFs:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "irf_ex2a = irfs(ex2a; T=30) ;\n",
    "xirf_ex2a   = irf_ex2a.x[1,1,:]\n",
    "xhatirf_ex2a= irf_ex2a.x_hat[1,1,:]\n",
    "\n",
    "x     = zeros(3,30);\n",
    "xhat_noise_ex2a = zeros(3,30);\n",
    "\n",
    "for ii in 1:30\n",
    "    if ii==1\n",
    "        xhat_noise_ex2a[:,ii] = ex2a.ss.K;\n",
    "    else\n",
    "        xhat_noise_ex2a[:,ii] = A*xhat_noise_ex2a[:,ii-1]+(ex2a.ss.K*ex2a.ss.Y')*(x[:,ii]-A*xhat_noise_ex2a[:,ii-1]);\n",
    "    end\n",
    "end\n",
    "xhat_noise_ex2a = xhat_noise_ex2a[1,:]*AdjPara_ex2a ;"
   ],
   "metadata": {},
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### The ARMA(2,1) Example:"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Initialize:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "β       = 1.0           ;\n",
    "θ0      = 0.5           ;\n",
    "θ1      = -0.1          ;\n",
    "κ       = 1.79          ;\n",
    "\n",
    "ϕ1      = 1.3           ;\n",
    "ϕ2      = -0.4          ;\n",
    "\n",
    "A   = [ϕ1 ϕ2 θ1 ; 1.0 0.0 0.0 ; 0.0 0.0 0.0] ;\n",
    "Q   = [θ0 ; 0.0; 1.0]   ;\n",
    "H   = [1.0; 0.0; 0.0]   ;"
   ],
   "metadata": {},
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "source": [
    "Solve:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ex2b = Drip(κ,β,A,Q,H,tol=1e-8);"
   ],
   "metadata": {},
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "source": [
    "Measure performance for different values of $\\kappa$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  109.88 KiB\n  allocs estimate:  777\n  --------------\n  minimum time:     150.033 μs (0.00% GC)\n  median time:      441.626 μs (0.00% GC)\n  mean time:        479.742 μs (9.89% GC)\n  maximum time:     28.593 ms (98.00% GC)\n  --------------\n  samples:          10000\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 18
    }
   ],
   "cell_type": "code",
   "source": [
    "@benchmark Drip(κ,β,A,Q,H;tol=1e-8) setup = (κ = 2*rand())"
   ],
   "metadata": {},
   "execution_count": 18
  },
  {
   "cell_type": "markdown",
   "source": [
    "To be consistent with MMW(2018), scale the signal vector so that the weight on the first element is one ($h_1 = 1$):"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "-0.0687478067895003"
     },
     "metadata": {},
     "execution_count": 19
    }
   ],
   "cell_type": "code",
   "source": [
    "h1 = 1;\n",
    "h2 = ex2b.ss.Y[2]/ex2b.ss.Y[1]\n",
    "h3 = ex2b.ss.Y[3]/ex2b.ss.Y[1]"
   ],
   "metadata": {},
   "execution_count": 19
  },
  {
   "cell_type": "markdown",
   "source": [
    "Print the weights:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  h1 = 1.000, h2 = -0.275, h3 = -0.069\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "s = @sprintf(\"  h1 = %5.3f, h2 = %5.3f, h3 = %5.3f\", h1, h2, h3)  ;\n",
    "println(s) ;"
   ],
   "metadata": {},
   "execution_count": 20
  },
  {
   "cell_type": "markdown",
   "source": [
    "Since we scaled the signal vector, we also need to adjust the noise in the signal accordingly:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.3828466148956306"
     },
     "metadata": {},
     "execution_count": 21
    }
   ],
   "cell_type": "code",
   "source": [
    "AdjNoise    = 1.349\n",
    "AdjPara_ex2b= AdjNoise*ex2b.ss.Y[1]"
   ],
   "metadata": {},
   "execution_count": 21
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate the IRFs"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "irf_ex2b     = irfs(ex2b; T=30) ;\n",
    "xirf_ex2b    = irf_ex2b.x[1,1,:]\n",
    "xhatirf_ex2b = irf_ex2b.x_hat[1,1,:]\n",
    "\n",
    "x     = zeros(3,30);\n",
    "xhat_noise_ex2b = zeros(3,30);\n",
    "\n",
    "for ii in 1:30\n",
    "    if ii==1\n",
    "        xhat_noise_ex2b[:,ii] = ex2b.ss.K;\n",
    "    else\n",
    "        xhat_noise_ex2b[:,ii] = A*xhat_noise_ex2b[:,ii-1]+(ex2b.ss.K*ex2b.ss.Y')*(x[:,ii]-A*xhat_noise_ex2b[:,ii-1]);\n",
    "    end\n",
    "end\n",
    "xhat_noise_ex2b = xhat_noise_ex2b[1,:]*AdjPara_ex2b ;"
   ],
   "metadata": {},
   "execution_count": 22
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Replication of Figure (5)"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=6}",
      "image/png": "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",
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAEsCAYAAAAhNGCdAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAACfpElEQVR4nOzdeVxUZfv48c8MIDsioggiJgjmrqhlZVYmuZSYCrlk6TcNsqzHNmmx5TFTMSt7sgWXzLSUQE0wS0V9UstSwF2TLQTEHXBhke38/uA352FkwGHfrvfr1Stnzplz7lm455r7XPd1axRFURBCCCGEEKKJ0tZ3A4QQQgghhKhNEvAKIYQQQogmTQLe/y8oKIioqKgy90dFRdGvXz88PDwICgrC398fDw8Pli1bprdfVlaWet+yZcvo168f/v7+6jHDw8NJSkqq/SdSA3TPOTw8vL6bAkBsbGyNHq8qz6+m21Dd9hhSURt158jKyqr2sYx9LZYtW0arVq1q9XNfm++LKKuq/WR4eDgeHh7069fP4HGTkpLQaDT4+/sb/LyUd16d0v1vYGAgrVq1MthPl95/0aJF+Pv7q/dJH1110kcbR/roeqYIRVEUxd3dXfHz8zO4bfbs2XrbduzYoQBKZmamep9ue0xMjDJ79mwlMzNTCQkJ0dvPz89P7zEN2dChQ5WwsLB6OXdwcLCyY8cO9ba3t7fe7ZpQ2edXG22oTnsMubWNt76O9vb2Rn/+Knq+lXkt7O3tlcTERKP2rYrafl+Evur0kwEBAQqgxMTElHmsblt572VF51WU//W/ISEhSkhIiJKZmakEBwcrQJnPX2JiouLt7a34+fkpQ4cOLXMc6aNvT/roqpE+un7JCC8lv+yDg4MJDw83+OuqdevWerfd3d0BsLe3B2DRokWMHz9evS84OBh7e3sCAgKwt7dX9wsMDCQoKKjWnkdTERoaqnc7JiaGoUOH1lNrGk4bbufWNt76OlbnWMZuq2sNqS1NXXX7SXt7e4YOHcqCBQv09tMdS7dfZc9buv91d3dX+93Zs2djb29fZvTK3d2dmJgYAgMDyxxL+mjjSB9dNdJH1y8JeIEdO3bg5+dnsDM2JCgoiODgYPV2SEiI+obqOnko6YiXL1+u3h46dGi5l9iioqJYtmwZixYtUjvi8PBwWrVqpV4S0G3X/Vt36U53zEWLFuHh4UFUVJR6WTE2NpakpCT8/f0JDAxUvzBK76u7/Ojv71/u5RRD7budqKgoFi1axKJFi/Dx8VGfR0Xn1rU3LCyMRYsWER4erncpqTLPsbzXqSJZWVkEBQWplzujoqLKtKH06+Hv74+Pj4/aVl37YmNjCQwM1EtrqUp7dMfTve9ZWVnq61/6Od/axltfR52kpCSD7SrN0PM1Zpvu+LrPiLGX5273mpX3Obq1LYbeO93jK/vZFWVVt58E1MC1dBC6bNmyCoPM2523dP9r6Iu1f//+t22rjvTR0kdLH13+c2z0fXR9DzHXt5iYGCUkJERRlJJLcPb29mX2CQ4OVvz8/JTZs2cr9vb2ZS7J3foyZmZmqpf33N3d9fZ3d3cvc/kgJiZG73Jd6UsnwcHB6jGCg4PV4+suEdzaZnd3dyUgIEBJTExUgoODFXt7eyU4OFjJzMxUhg4dqgQEBKj76raVPq9ue+k2VNS+8iQmJupdLoyJidG7XFPeuTMzMxV3d3clLCxM3dfb21vvfMY+x4pep/KeQ3BwsN7rrHvvSrchMTFRcXd312uP7vyKUvJ50N3WpbVUtT264+vaoXu+OqXfz9JtNPQ6ln6dSrfLkFtfc2O2ZWZmKt7e3nq3jb1cVt5rdrvPUem2GHrvqvLZFWXVRD85e/ZsRVFK3rPSn1vdv+3t7ctc+jTmvOV9jsPCwtRzGrJjx44yKQ2KIn209NHSRxvSFProZj/Cu2DBAhITE1m0aBGxsbFkZWWV+8vozTffBND7ZRMbG6s3qgv/S2sICwvD29tbb1TC3d29TBJ3aGioOoli2bJlepfhdJflnn32WWbPnq0ev3///upISelfaPb29vj7+6uX9rKystRjBAYG6o2sODg44Ofnp94ub2JIRe0rT0hIiN7r4u3trffalXduXQqIu7u7eonTwcGhzOtrzHOs6HUqj7e3N0FBQfj4+PDjjz+q7S7dhqysLDIyMtTb7u7ueHt761269fPzU9NaoORXdVXaA+Dn56d36Ut3DAAPDw/1/tJtNPQ66o51a7sMufU1N2bbjz/+qDeaVt4lakPKe82M+RyV3nbre1eVz64oq7r9ZGnBwcEsW7ZMnWhW0YjO7c5rqP+Fkr/RHTt2lBlhNob00dJHSx9dVlPoo01r5aiNRFZWFu7u7mU6xQULFuj9oevY29sTFhaGj48PQ4cOVf+ASv9hZWVl6X2IBgwYQGJiono7IyOjzIcsKSkJb29vtbPUfZh0dJfZYmNj8fb2JjY2lqCgIHbs2AFQ7hfGrecx5sNt6JLg7dpXntKvC5R88CtqQ1XyfCp6jsa+Tre2ITMzkx9//JGQkBB27NhBWFiY3j7e3t488cQT+Pv7M2DAAPz9/cu0/daOrartARg/frx6Lj8/P9zd3QkJCQGMfy8qaldNKf05r4ry2mbs58jQewdU6bMr/qcm+snSdPctWLCArKysct8TY857a/+rExQUpP6NVJb00eW3Qfpow6SPbhx9dLMe4V22bJk62UEnICBAza3RuXLlivrvoUOHMnv2bB5++GG1Qy79K/DWHLODBw/q5aclJSWVGZHw8fEpd0JGeHg4Pj4+BAcHqyV0QkNDy/yKMtatH8zSzzMkJMRgLl1F7UtKSjLYBh8fH737dY8t3elUdG5DX2LG0j22Kq/TokWL1F+wYWFh5f7Ct7e3580332T27NkG/0ANtb+q75u3tzcZGRns2LEDd3d3/Pz8iI6O5uDBg7ftEG9tR1Vf14rK8ei2+fj4qCN3UPIcb339KjqOobYZ8znSMfTeVfTZFcapiX4S0HsPgoODy5QFq8p5b+1/4X8Tz7KystT/oGxfVd5nQvpo6aMr0x6QPrrR9NG1kijRCISFhZXJUVKUkrI29vb2ire3t5KYmKjs2LFD8fb2Vuzt7fXySry9vdV9hg4dqubvhIWFKUOHDlWCg4OVkJAQvdwYXc6OIcHBwWpum66sWVhYWJn8Hz8/PyUmJkYt06Mr/RMWFqY+J12ela4sj+456nKSdDlK7u7u6jFnz56ttlW3n5+fn3qfofbpjlFeyZHg4GBl6NChSkhIiBIcHKz3WpR3bt17oMu5urUtlXmO5b1Ohp5f6Tb7+fkpwcHB6vM0tP/QoUMVe3t7xd3dXa9kki63qXTuoL29vTJ79uwqtUdH9xid2bNnq7mN5b1npV/Hitp1q1uPVTrPq6JtutfP3d1dGTp0qLJjxw7F3d1dfR3Lyxe7XdvK+xzd2hZD753u8YY+u+L2aqqf/Pzzz9XPok7pvD3d37GufzP2vIqi6PW/uvJmpf/T5SyW7qt0/bR9qZxJRZE+Wvpo6aObch/dbAPemrRjx44KJ0fo6GpENhSGJmdUxq3J6nV57vqkS7K/9UtSJkMJUfeM6X+N7aukj665c9cn6aOFIc06paGm6IbuK0q01k2iaEo5hOHh4WVyp5qD0NBQfHx81EtV9vb2eHt7G5w8I4SoXcb0v8b0VdJHNx3SRwtDJOCtIcHBwRV2uNHR0Q2u48nIyKjWbEjdrNv6OHd9Gj9+PGFhYXq1BgcMGFBmco4Qom7crv81pq+SPrpmz12fpI8WhmgURVHquxGi7pVOTB86dGiNzwZtqOeuKVlZWWqifmN9DkKIhkv66OqRPlrcSgJeIYQQQgjRpElKgxBCCCGEaNIk4BVCCCGEEE2aBLxCCCGEEKJJq9bSwi+99BIRERGcOXOGQ4cO0adPH4P73bx5k1dffZVt27ZhYWFB7969Wbt2rcF9s7OziYmJwcvLCysrq+o0Twgh6oWiKFy/fh0XFxe02oY3riD9rBCiMatKH1utgNfPz4/Zs2czaNCgCvd744030Gg0xMXFodFoOH/+fLn7xsTE8MADD1SnWUII0SCkpqbi6upa380oQ/pZIURTUJk+tloB7+DBg2+7T3Z2NitXriQtLQ2NRgNAu3btyt3f2toagN9++63cEWMhhGjIrl27RocOHbC1ta3vphgk/awQojGrSh9brYDXGImJiTg4ODB//nyioqKwtLTk/fff5+GHHza4vy4onjNnDvb29kycOJGJEyfWdjOFEKLG6fqzhkbXLhsbG+zs7Oq5NUIIUTWV6WNrPeAtLCzkzJkzdOvWjYULF3Lo0CF8fHw4ceIETk5O5T5uyZIlsiqKEEIIIYSotlqfTeHm5oZWq+XJJ58EoG/fvnTq1Iljx47V9qmFEEIIIYSo/RFeR0dHHn74YbZt28bIkSP5559/+Oeff+jatWttn1qIaktJSeHy5cv13QzRgDk6OuLm5lbfzRCi0ZJ+VtxOTfSz1Qp4AwMD+fnnnzl//jzDhg3D1taWhIQEAKZPn46vry++vr58/fXXTJs2jaCgILRaLSEhIbRv375aDReitqWkpNC1a1dycnLquymiAbOysuLUqVMS9ApRBdLPCmPURD9brYA3JCSk3G0rVqxQ/+3u7s7u3burcyoh6tzly5fJyclh7dq1ckVCGHTq1CkmT57M5cuXJeAVogqknxW3U1P9bK2nNAjR2HXt2lUmUAohRC2SflbUtoa3BJAQQgghhBA1qFkEvGlpaezevZu0tLT6booQQgghhKhjTT7gXblyJR07dmTIkCF07NiRlStX1neThBBCCCFEHWrSAW9aWhrPPvssxcXFABQXFxMYGCgjvUIIIYQQzUiTnrQWHx+Poih69xUVFZGQkICrq2s9tUo0R5mZmWzfvp0rV67QunVrHnnkEVq1alXfzRJCiCZD+llRkSY9wuvp6VnmPhMTEzp37lwPrRHN0bVr15gxYwbt27dnwoQJvPDCC0yYMIH27dszY8YMrl27Vu1zhIeH06pVKxYtWgRAUlIS/fr1U28LIURTJv2sMEaTHuF1cnLC1NSUwsJC9b5hw4bJ6K6oE9euXeOhhx4iNja2zLbc3Fy+/vprDh48yK5du7Czs6vyefz8/EhKSlJvZ2VlMX78eGbPnn3bx/r4+BAWFoa9vX2Vzy+EEPVF+llhrCY9wvv3339TWFiItbU177//PgDbt2/nyJEj9dsw0SwEBQUZ7IRLi4mJISgoqNrnmj17NiEhISQlJREaGmpUJwwQHR1dphOOjY0lKiqq3MeEh4frdfyidsXHx3Pvvffi5eXFgAEDOHHihMH9bt68ycyZM/H09KRnz55Mnjy5jlsqRN2TflYYq0kHvIcOHQLA29ub9957j7Fjx1JYWMj06dP1Rn2FqGmZmZl8++23Ru27evVqMjMzq33OoKAg/P39CQ4ONmr/qKgosrKyCAoKUjtef39/3N3dcXBwwMPDg6ysLHX/rKwsAgMDGTp0aIWrLIqaFRgYSEBAAHFxcQQFBTF16lSD+73xxhtoNBri4uI4duwYixcvrtuGClHHpJ8VldGkUxp0AW/fvn0BWLp0KTt37iQ6Opr//Oc/vPLKK/XZPNFEnDt3jnPnzundt337dvLy8ox6fG5uLiEhITzyyCN69zs7O+Ps7Gx0OxITE0lKSiIrK0tvNCE2NtbgCkZDhw7F3t5e7bgXLVqEu7s79vb2eHt74+fnx4IFC9Tt0dHRAHqPqej4ovouXrxIdHQ027dvB2DcuHHMnDmThIQEvbkI2dnZrFy5krS0NDQaDQDt2rWrlzYLUdMM9bEg/ayonCY9wqu7zKH7kDg7O6ujHnPmzJHLBaJGhISE0K9fP73/3nzzzUod48033yxzjMr8ug8PD2fAgAG8+eabZS7dLViwwKhjJCYm4uHhod6+deTBwcEBe3t7wsPDq3R8UXmpqak4OztjaloyNqHRaHBzcyMlJUVvv8TERBwcHJg/fz79+/fn/vvvZ+fOnbc9/qxZs/D19WXdunW10n4haoKhPlb6WVFZTXaEt7i4mMOHDwP/G+EFmDZtGj/88AO7d+8mMDCQ7du3qyMiQlRFYGAgvr6+evdt3769Up3xggULDI48GCM2NpaDBw+qowEeHh4kJSXh7u6ujkQYMzrQr18/wsLCCAgIAEry3vz9/dXtzz77LGFhYbi7u6v3Veb4ovYUFhZy5swZunXrxsKFCzl06BA+Pj6cOHECJyench+3ZMkSed9Eg2eojwXpZ0UlKQ1MTEyMAigxMTHVOk5CQoICKObm5kp+fr7etvj4eMXCwkIBlFWrVlXrPKLpqs5nMSMjQ7G0tFSA2/5naWmpZGRkVKmNYWFhir29vRIWFqYoiqIkJiYqQ4cOVYYOHarExMQoiYmJSkhISLmPDwgIUIYOHaokJiaqt2fPnq2EhYWpx9QJCQlRvL29leDgYGXHjh3q+So6flNX3mfk6tWrCqBcvXq1Wse/cOGCYmtrqxQUFCiKoijFxcWKk5OTEh8fr7ffpUuXFK1WqxQWFqr39e/fX32fjG23EHVN+lnpZ2/H0GekKn1skw14f/zxRwVQ+vfvb3B7cHCwAiitWrVSzp8/X61ziaapup/F5557zqiO+Lnnnqvhlv9PWFhYrQY1tX38hq62A15FUZQHHnhA/WEeFham9OvXz+B+Pj4+ys8//6woiqIkJSUprVu3VtLS0irVbiHqmvSz9X/8hq6mAt4mm8N764S1W73yyiv07duXzMxMXnrppbpsmmgmgoOD6devX4X71Hbh8qSkJHUSRGM8vijJXwwJCcHLy4uFCxeyatUqddv06dOJiIgA4Ouvv+ajjz6iZ8+ePP7444SEhNC+ffv6arYQdUL6WWGsJpvDe7uA19TUlBUrVnDXXXfx448/8uSTTxrMERKiquzs7Ni1axdBQUGsXr2a3NxcdZulpSVTpkxh0aJF2Nra1lobjK0T2VCPL6BLly7s37/f4LYVK1ao/3Z3d2f37t111SwhGgTpZ4WxmmTAqyhKmQoNhnh7e/Pqq6+yaNEinn/+eR544AFatmxZV80UzYCdnR1fffUV8+fPlzXehRCiFkg/K4zRJAPec+fOcfHiRbRaLT179qxw3/fff58NGzaQmJjIiy++yP/93//h6ekpyw+LGtWqVSvGjx9f380QQogmS/pZUZEmmcOrS2fo2rUrVlZWFe5raWnJ8uXLAVizZg1DhgyhY8eOrFy5stbbKYQQQgghal+TDHh16Qzl5e/eytPTU68Wb3FxMYGBgaSlpdVK+4QQQgghRN1pkgHv7Sas3So+Ph5FUfTuKyoqIiEhocbbJoQQQggh6laTDHiNmbBWmqenJ1qt/kthYmKit1a9EEIIIYRonJrcpLWMjAzOnDkDQJ8+fYx6jKurK8uWLWP69OkAaLVaQkJCZOKaqBF5eXn8+uuvbNu2jczMTFq1asWwYcMYPnw4FhYW9d28GhEVFUVSUpK6XGZt0K0t7+fnV2vnEEI0TtLP1oym3M82uRHew4cPA9CpUyfs7e2Nfty0adN4/PHHAXj99deZNm1azTdONDupqamMHz+eefPmcfDgQVJTUzl48CDz5s1j/PjxpKamVuv4sbGxeHh4qJ2UTnh4eJn7qisqKopWrVqxaNEiFi1ahL+/v3o1JTY2Vu2Ew8PD1f2gpGh6RYXfly1bpnc7MDAQjUZTpv1+fn4kJSXV6HMSQjR+0s9KP2uMJjfCW9l0htIGDBjATz/9JJPVRI3Iy8tj5syZnD17ljFjxjBlyhRcXV1JS0tj9erVbNq0iZkzZxIaGlrlEQhvb2/CwsLw9/dXf5HX1i/0oUOH4uDgoBZBT0pKwsHBocx+t3aYWVlZjB8/vtzi6VlZWXq3Q0JCiIqKqnT7fXx8CAsLq9QPXSFE4yb9bAnpZ2+vyY3wVnbCWmndu3cH4MSJEzXaJtE8/frrr2on/Pbbb6spMq6urrz99tuMGTOGs2fPsm3btmqdx9vbm6FDh6qXuzIyMmrlclRSUhLu7u7qbXd393I7vdmzZxMSEkJSUhKhoaGVWikoKSmpSj9Yo6Ojy7QnNjaWqKioch8THh7eZEcz6lJaWhq7d++WwQJR56SflX7WWE1uhLcmAt6///6boqIiTExMarRtomm6fPkyly9fLnP/xo0bARg0aBB///13me2DBg1i06ZNbNiwgS5dupTZ7ujoiKOjo1Ft8Pf3Z8eOHUDJ2vK1ITY2loyMDBYtWsSVK1cIDAzU65hvFRQUhL+/PzExMZU+T0XHNSQqKoqsrCyCgoLw8fFh6NCh+Pv7qzW2PTw8iImJUTtq3b7BwcEsWLCg1l6z5mDlypUEBARQXFyMVqtl2bJlkhImalR5fSxIPyv9rPGaVMCbnZ2tfuCr8sulU6dOWFhYkJeXR1JSEp6enjXdRNEEbdiwQf2DN+TVV1+t8PEnT55k8uTJZe5/9tlnCQwMNKoNuo4nLCxMvS82Ntbg30FWVlaZfK7SyhslSEpK4s033zR6VCMxMZGkpCSysrL0RgTKa5fOwYMHGTBggNH7Q8nzt7e3VzvURYsWqSMj3t7e+Pn56XW40dHRAHqPMfZc4n/S0tLUYBf+V8N82LBhMulX1Jjb9bEg/az0s7fXpALeo0ePoigK7dq1o127dpV+vImJCV27duXQoUOcOHFCAl5hlHHjxvHAAw+UuX/+/PmcPHmSjz/+GCcnpzLbL1y4wKuvvkq3bt146623ymw3dtRBx8HBgaFDh6q3FyxYoNcx69jb21fq0pfOwYMH9Y5fkfDwcAYMGEDr1q0JCgoiJCTktu3SSUpK0vsCut3+hiQmJtKvXz/1tm7kQcfBwQF7e3vCw8P1vliqcq7mLD4+Xg12dXQ1zCXgFTWlvD4WpJ+VftZ4TSrg1aUzVOeXQ/fu3dWAV1e1QYiKlHdJbOzYsZw8eZJ9+/bx9ttvl9m+YcMGoKQzv/POO6vVhlt/3et+8Rv6JV3VkYdbjxUVFWWwY46NjeXgwYPqL3oPDw81L62idpV+vO5SmzH7G9KvXz/CwsLUGc0xMTH4+/ur25999lnCwsL0LulV9VzNmY2NTZn7tFqt1DAXNaqitAPpZ6WfNVaTCngru6SwITJxTdSU4cOHs2rVKjZt2gRgcPZw+/btGTZsWLXOk5WVxYIFC8p0Iv7+/gY7lKqMPJTOKwO4cuUKWVlZZTri8PBwnn32WfXyo64DDgwMJDg4GHt7+3LbpXt8UlKS3ohARfuX9sQTT+Dj40NISAgBAQHExMQQFBTEgAED1HwzncDAQPz9/Rk/frw6GaUy5xIlvvjiizL3aTQaUlJSZIRX1AnpZ6WfNZrSwMTExCiAEhMTU+nHent7K4ASHh5e5fNHREQogNK7d+8qH0M0DdX5LOqkpKQovr6+Sr9+/ZR+/fop9957r/pvX19fJSUlpQZb/D9hYWHVandlBQcHG7WfoXZV9Nhb9zf2PFVRldesvM/I1atXFUC5evVqTTaxxtTEZ/vQoUOKRqNRACUiIkLZtWuXMnLkSAVQnJ2dlXPnztVgi0VTJf2s8aSf/d/jqtLHNpkR3vz8fI4fPw5UP6UBpFKDqBkdOnQgNDSUbdu28euvv6orAA0fPpxhw4bV2gpAurI5DW20srLtqsvn0VBfs4ZIURRef/11FEVhwoQJjBo1CoD+/fszcOBATp48ib+/P7t27cLMzKyeWyuaOuln9Uk/W45KhdkGvPjii0rHjh0VQDl06FCZ7bm5ucro0aMVT09PpVevXsrQoUOV+Pj4co9X1V97hw4dUgDF3t5eKS4uruzTUBUVFSmWlpYKoJw+fbrKxxGNX02MPDQXs2fPVkJCQqr02LCwMKP3CwgIqNI5aktzHeH95ZdfFEBp0aKFkpSUpLft9OnTip2dnQIoL774Yk00VzRh0s8aT/rZ6o3wVnvhCT8/P/bt20fHjh3L3ScgIIDTp09z5MgRRo8ezfTp06t72jJ0E9b69OmDRqOp8nG0Wi1du3YFJI9XCGMFBwdXeX13Y8vv+Pn56c1CFvWjsLCQ1157DYAXX3yRTp066W338vJizZo1AHz++efqv4UQ1SP9bPVUO+AdPHhwhZMTLCwsGDlypBqEDhw4kOTk5OqetoyaqNCgIxPXhBDCsG+//ZYTJ07QqlUrg7PiAXx9fXnnnXeAkgEPXf8shBD1pc6XFv7ss88YPXr0bfebNWsWvr6+rFu3zqjj1kSFBh0JeIUQoqwbN27w7rvvAvDOO+/QqlWrcvd9//33GTlyJHl5eYwdO5YrV67UVTOFEKKMOp20Nn/+fBISEti5c+dt912yZInRo7XFxcUcOXIEkIBXCCFqy8cff8y5c+dwd3fn+eefr3BfrVbL2rVr6d+/P0lJSUyaNImtW7fKRGAhRL2osxHexYsXs3HjRn755ResrKxq9NgJCQncuHEDS0tLg2tlV5Yu4D19+jSFhYXVPp4QQjR2586dU+uDLly4EHNz89s+plWrVmzatAkrKyu2b9/OrFmz2L17N2lpabXdXCGE0FMnAe8nn3zCunXr2LFjh94qJTVFl87Qq1cvTE2rP2jdsWNHrKysyM/PJyEhodrHEwLg4sWLLFmyhIsXL9Z3U2pcVFRUhasK1YTw8HDCw8Nr9RyifO+99x45OTkMHDjQ6AkwUNIvr1ixAoClS5cyZMgQOnbsyMqVK2urqaIZk362eppyP1vtgDcwMFBd1WTYsGF6S0pOnz6d7777jldffZWsrCweeugh+vTpw913313d0+qpyQlrUHIprlu3boCkNYjquXbtGrt27eL69ev88MMPnDp1inXr1nH9+nV27drFtWvXqnX82NhYPDw8ynRQtdFpRUVF0apVKxYtWsSiRYvw9/dXf2zGxsaqs4fDw8PV/aCk7mK/fv3U27e6tQMPDAxEo9GUab+fnx9JSUk1+px0fHx8auW4TcWJEyfUAHXx4sWVroRz//336z2muLiYwMBAGekVNUL6WelnjVHt4dCKylfoftU//fTT1T1NhXQBb03k7+p0796d6OhoTpw4wbhx42rsuKJ5iY6OJjQ0lNDQUPUScGJiolrWCWDIkCFVPr63tzdhYWH4+/uro266Dqwyo3DGGDp0KA4ODupymUlJSTg4OJTZ79YOMysri/Hjx5e7zGZWVpbe7ZCQEKKioirdfh8fH8LCwip9FenW84uyZs+eTXFxMWPHjuW+++6r9OPj4+NRFEXvvqKiIhISEmQJYlFt0s9KP2uMOq/SUNMURanRCg06MnFN1IQBAwao/75586be/wHuuuuuap9Dt0Z5VFSUuopNTXfC8L/12nXc3d3L7fRmz55NSEgISUlJhIaGVmpN+aSkpCpdrYmOji7TntjYWKKiosrsm5WVhY+PD7GxserzWrZsGYGBgZU+b1MXFRXF1q1bMTU1ZeHChVU6hqenJ1qt/teNiYmJ3hVBIapK+lnpZ43R6JcWTktL48qVK5iamtKjR48aO64u4D158mSNHVM0TVevXuXq1atl7s/IyODXX3/FzMyMgoKCMtvNzMxYunQpw4cPN/gLvmXLlrRs2dKoNvj7+7Njxw6gpDh5bYiNjSUjI4NFixZx5coVAgMD9TrmWwUFBeHv709MTEylz1PRcQ2JiooiKyuLoKAgfHx8GDp0KP7+/ixfvhwADw8PYmJi9Dpq3RdJVFQU/fr1IyAgAH9//0qdty7Ex8czZcoULl++TMuWLfn222/V/qm0O+64A3NzcywtLQF48803GT9+fLXOnZKSwnPPPQfAjBkz8PT0rNJxXF1d1S+6oqIioCTlTUZ3hTHK62NB+lnpZ43X6ANeXTpDt27danS97NKVGgoKCmQ9eFGuPXv2sGXLlko/rqCggH/++YevvvrK4PbHHnuMUaNGGXUsXccTFham3hcbG2vwF3xWVlaFEx/KGyVISkrizTffNHpUIzExkaSkJLKysvQ6wPLapXPw4EG9EZvb7Q8lz9/e3l79Elq0aJHa0Xp7e+Pn58eCBQvU7fb29kRHR+Pu7k5iYqIaGOq+AIw5Z10JDAwkICCAqVOnEh4eztSpUzl48KDBfUNDQ+nTp0+NnHflypU8++yzaipCZb8cbzVt2jSGDRvGW2+9xZo1a2QwQRitqn0sSD9bnubYzzb6gLc20hkAOnTogLW1NdnZ2SQkJKjLDQtxq8GDB9O7d+8y92dkZLBt2zbS0tLIz88vs71Fixa4uroybNiwckceKsPBwYGhQ4eqtxcsWKDXMevY29tX6tKXzsGDB/WOX5Hw8HAGDBhA69atCQoK0sv1L69dOklJSXqXvG63vyGJiYn069dPva0beSjvfO7u7sTGxqodclXOWRsuXrxIdHQ027dvB2DcuHHMnDmThISEWk0HSEtLIyAgQC/v9rXXXsPPz69ao7Kurq4sWLCAH374gb1793LkyBGDfztClFZeHwvSz0o/a7xGH/DWdIUGHV2lhoMHD3LixAkJeEW5yrsk5ubmhoeHh97EidLy8/N54YUXsLGxqXYbbv11r/vFb+gXdFVHHm49VlRUlMGOOTY2loMHD6q/8j08PNTOrqJ2lX68bgTAmP0N6devH2FhYeqM5piYmDKX0XQTPnSvXVJSkjoRpCrnrA2pqak4Ozur5RY1Gg1ubm6kpKQYDHiffvppFEXhrrvuYuHChbRp06bC48+aNQt7e3smTpzIxIkT1fvj4+MpLi7W27emJpm1b9+esWPHEhYWxhdffFHrZZZE41dR2oH0s9LPGqvJBLw1PcILJWkNuoC3NpLTRdNX3qVnnQMHDlRr9jCUdCQLFiwo03n4+/sb7EiqMvJQOq8M4MqVK2RlZZXpiMPDw3n22WfVnC5dBxwYGEhwcDD29vbltkv3+KSkJMLDw9W/uYr2L+2JJ57Ax8eHkJAQAgICiImJISgoiAEDBqj5ZqUFBwfj7+9PUlISy5YtUzvtypyzIdmzZw9ubm4UFBQwZ84cpkyZwtatWyt8THkrWuommZUOemtyktnMmTMJCwtj7dq1BAcHV7hEsRC3I/2s9LNGURqYmJgYBVBiYmJuu++lS5cUQAGUq1ev1nhbPvroIwVQ/P39a/zYouGrzGexPFevXlV27typXL9+XQkICFD/u3btmrJz585a+dwqiqKEhYVVq92VFRwcbNR+htpV0WNv3d/Y8xgrMTFRCQgIuG0by1PeZ+Tq1as10i9duHBBsbW1VQoKChRFUZTi4mLFyclJiY+Pr/Bx6enpio2NTaXbXdqKFSsUExMTBVBMTEyUFStWVO1JGFBcXKz06tVLAZSPP/64xo4rGh/pZ40n/ez/9q9KH9uoy5LpRnc9PT2xs7Or8eNLaTJRXXZ2dgwZMgQbGxs++OADvLy8mD17Nra2tgwZMqRWPrdQ8os/Ojq6Vo5dHZVtV20/D11B+bo8Z2W0bdsWb29v1q5dC8CGDRtwdXUtM9KanZ2tV+dy3bp11b7qNW3aNJKTk9m9ezfJyclMmzatWscrTaPRMHPmTAC++OKLMukTQlSG9LP6pJ81rFGnNNRmOgP8L+CNi4sjPz+fFi1a1Mp5RPPQtm1bXn311To5V1UmS1THlStXylyuMsRQuyqa/V96//DwcBITE6veSAMOHjxYZvWfun7tbickJISpU6cyf/587OzsWLVqlbpt+vTp+Pr60qNHD8aNG0dRURGKouDu7s53331X7XO7urrWWumwSZMmMXv2bJKSkvj1118ZOXJkrZxHNC/Sz0o/W55GHfDqKjTUVg5Ihw4dsLW15fr168THxxusfSmEqF5NSmPz4/38/Go8l762amnWpC5durB//36D23SrWcL/BgAaC2tra5555hk++eQTPv/8cwl4hbgN6Werp0mkNNTWCK9Go6Fbt26ApDUIIURNmzFjBhqNhl9//ZX4+Pj6bo4QoglrtAGvbtQVai/gBcnjFUKI2tK5c2dGjBgBwJdfflnPrRFCNGWNNuDdsWMHiqLQrl2729aarA4JeIUQovboJq+tWrWKGzdu1HNrhBBNVaMMeFeuXKnmmJw/f56VK1fW2rl0Aa8sgymEEDVv2LBheHh4cPXqVb7//vv6bo4QoolqdAGvoSUvAwMDSUtLq5Xz6QLe+Ph4g8sWCiGEqDqtVssLL7wAwNKlS/X6diGEqCmNLuCtaMnL2tC+fXvs7OwoLCwkLi6uVs4hhBDN2dSpU7GysuL48ePs2bOnvpsjhGiCGl3Aq1vysrSaXPLyVlKpQQghalerVq2YPHkyUDLKK4QQNa3R1eF1dXVl2bJlBAYGUlRUhImJCSEhIbVWHB1K0hr+/PNPCXibqVOnTtV3E0QDJZ+NmjNz5kyWLVvGpk2bSEtLq9U+XTQ88rckylNTn41GF/BCyZKXw4YNIyEhgc6dO9d6xyiVGponR0dHrKys1JEnIQyxsrLC0dGxvpvR6PXs2ZMHHniA3377jZCQED744IP6bpKoA9LPCmPURD/bKANeqN0lL28lAW/z5ObmxqlTp7h8+XJ9N0U0YI6Ojri5udV3M5qEmTNn8ttvv7Fs2TLmzJmDubl5fTdJ1DLpZ4UxaqKfbbQBb13SBbwJCQncvHlTOuFmxM3NTYIZIerI6NGjad++PWfPnmXu3LnMmDFDUhuaAelnRV1odJPW6oOLiwstW7akqKiI06dP13dzhBCiSTIzM2PAgAEAzJ8/n44dO9ZqnXUhRPMhAa8RNBqNpDUIIUQtS0tLIyIiQr1dXFxcq3XWhRDNhwS8RpKAVwghaldd11kXQjQfEvAaSZYYFkKI2lXXddaFEM2HBLxGkhFeIYSoXbo66yYmJup9Tz/9tExcE0JUmwS8RipdqSEvL6+eWyOEEE3TtGnTSE5OZtq0aUBJmoMQQlSXBLxGateuHa1ataK4uFgqNQghRC1ydXVl7ty5aLVa9u3bx99//13fTRJCNHIS8BpJo9HQrVs3QNIahBCitrm4uDBy5EgAvvnmm3pujRCisZOAtxIkj1cIIerO9OnTAVi9ejUFBQX13BohRGMmAW8lSMArhBB1Z+TIkTg5OXHx4kW2bNlS380RQjRiEvBWggS8QghRd8zMzJg6dSoAK1asqN/GCCEaNQl4K0EX8CYmJpKbm1vPrRFCiKbvmWeeAeDXX3+VFdeEEFVW7YA3Pj6ee++9Fy8vLwYMGFDu6OfWrVvx9vamT58+9OjRg9WrV1f31HXOyckJBwcHFEWRWcNCCFEHvLy8GDx4MMXFxXz77bf13RwhRCNV7YA3MDCQgIAA4uLiCAoKUi8/laYoCpMnT+bbb7/l8OHDbNmyhcDAQK5fv17l8+bl5REWFlanNXE1Go2kNQghRB3T1eRduXJlmaWHhRDCGNUKeC9evEh0dDSTJ08GYNy4caSmphpc91yj0ZCVlQXAtWvXaN26Nebm5pU+5/Hjx9m4cSN//PEHUVFR7N+/n40bN3L8+PHqPBWjScArhBB1y8/PDzs7O5KTk9m9e3d9N0cI0QhVK+BNTU3F2dkZU1NToCSodXNzIyUlRW8/jUZDaGgoY8eOpWPHjgwaNIjVq1fTokWLco89a9YsfH19Wbdund79cXFxbNu2jdDQUADWr1/Ptm3b6mw1Hl3Au2fPHsknE0KIOmBlZcWTTz4JyOQ1IUTV1MmktcLCQubNm8fGjRs5c+YMO3fu5KmnnuLy5cvlPmbJkiVEREQwceJE9b68vDzs7e0N7t+yZcs6SW84c+YMAH/88QcdO3Zk5cqVtX5OIYRo7nRpDRs3buTKlSv13BohRGNTrYC3Q4cOnDt3jsLCQqAkVzclJQU3Nze9/Q4fPkx6ejqDBw8GYMCAAbi6unLo0KFKnS8yMlId2b1VaGgokZGRVXgWxktLS+OTTz5RbxcXFxMYGCgjvUKIWmPsxGCdVatWodFo+Omnn+qmgXVEN+k5Pz+f77//vr6bI4RoZKoV8LZt2xZvb2/Wrl0LwIYNG3B1daVz5856++kC41OnTgGQkJBAYmIiXbp0qdT5Ro0axYQJE8rdnpGRUaujvPHx8WUmTBQVFRnMWRZCiJpgzMRgneTkZJYvX87AgQPrroF1RKPRqKO8K1asQFGUem6REKIxqXZKQ0hICCEhIXh5ebFw4UJWrVqlbps+fToRERE4OTmxbNkynnjiCXr37s2YMWNYunRpmZHg27GwsCAzM7Pc7bGxsXz44YekpqZW+flUxNPTE61W/yUzMTEpE+ALIURNqMzE4OLiYqZPn87nn39epQnBjcGTTz6Jubk5x44dIzo6ur6bI4RoRKod8Hbp0oX9+/cTFxdHdHQ0PXv2VLetWLECX19fACZOnMixY8c4cuQIx44dY9KkSVU6n5eXF8OHD2fIkCHqfcOGDcPPz49WrVpx8eJFFi5cyG+//aaOANRUCTNXV1eWLVuGRqMBSkYcQkJCcHV1rdZxhRDCEGMnBgN88skn3HffffTr18/o45c3ObihatWqFePGjQOQ+RNCiEoxre8GVFaPHj3o0aMHeXl5FBUV8dhjj2FnZwfAPffcw7fffsuxY8f44YcfOHDgAB07dsTR0ZGoqCgcHR3JzMzEy8uLHj16VOn806ZN4+jRo/znP/9h0qRJ6iU2IYSoL8ePH2fDhg3s2bOnUo9bsmQJ3t7etdSq2jF9+nR++OEHfvjhBz7++GOsra3ru0lCiEag0QW8OhYWFmVGiW1sbHjhhReIiopi48aNJCQk6F36W79+PVAySlLVgBdQvyDOnz9f5WMIIcTtlJ4YbGpqWu7E4L1795KcnIynpydQ0jcFBARw7tw5ZsyYUR9NrzUPPPAA7u7uJCUlER4ezpQpU+q7SUKIRqBOypLVJY1Gg4+PD//617+wsrIyuE91S5jpvlTqqvavEKJ5MnZi8IwZMzh37hzJyckkJyczcOBAli1bVu1gtz5WtLwdrVarN3lNCCGM0eQCXp1jx46Rk5NjcFtoaChbtmyp8rF1XzapqakN6otACNH0GDMxuKbV94qWtzNlyhS0Wi379u3j9OnT9d0cIUQj0GhTGm5n1KhRODo6qmkMpU2YMIF77rmnysdu06YNdnZ2XLt2jaSkJLp161adpgohRLl0E4MNKW+E87///W+1zqlb0VKnptLBakr79u0ZOXIkW7ZsYcmSJTzxxBN4enrKBGIhRLma7AhvRSXMMjMzsbCwqPKxNRqNOsorNXiFEE1JQ1jR0hi6tIavv/6aIUOGyMqXQogKNdmAF/5XwkyXcwslJcy8vLyqfWxdwCt5vEKIpuR2K1pWJx2sJvXu3Vvvtqx8KYSoSJMOeHv06MGYMWPUou0ADz30UI1cktMF0TLCK4RoSipa0XLChAk89thjddwiw5KTk8vcJytfCiHK06QDXp127drh7u4OwOHDh2vkmJLSIIRoimozHawmycqXQojKaBYBL/yvdm5sbGyNHE9KkwkhmipdOthdd92l3jd06NAaSQerKbqVL3Vk5UshREWaXcAbHx/PtWvXqn083ShCSkoKN2/erPbxhBCiodClg02aNAlzc3OAaq1QWVumTZvG6tWrAbC1tWXixIn13CIhREPVbALe1q1bc8cdd6AoSo2kNbRt2xZbW1sURSEpKan6DRRCiAbG0tJSLeF49OjRem6NYZMnT8bd3Z1r167xww8/1HdzhBANVLMJeAH69u0L1Exag5QmE0I0B7pqCEePHqW4uLieW1OWVqtVV5T74osvUBSlnlskhGiImlXAq0trOH36NDdu3Kj28aQ0mRCiqfPy8sLCwoJr164ZrIzQEDzzzDNYWFhw+PBh/vzzz/pujhCiAWpWAW/btm3p0KEDxcXFNZLWIKXJhBBNnampKd27dwfgyJEj9dwawxwcHNT83S+++KKeWyOEaIiaVcALNVutQUZ4hRDNQem0hobq+eefByAsLIyLFy/Wc2uEEA1Nsw14T506RXZ2drWOJSO8QojmoEePHmi1WtLT07l06VJ9N8eg/v37c9ddd5Gfn8+KFSvquzlCiAam2QW87dq1w8XFheLi4mqPVkhpMiFEc2Btba3+wG+oaQ0AL7zwAgBff/01RUVF9dwaIURD0uwCXqi5tAYnJydsbGwoLi7mn3/+qYmmCSFEg9SrVy+gYac1PPHEEzg6OpKamsqWLVvquzlCiAakWQa8/fr1A+DkyZPk5uZW+ThSmkwI0Vzo8njj4+OrnQ5WWywsLJg2bRogk9eEEPqaZcDr7OyMk5MThYWFHDt2rFrHkolrQojmoE2bNmo62IkTJ+q7OeUKDAxEo9GwY8cO4uLi6rs5QogGolkGvBqNRk1riImJqdaxZOKaEKK50KU1NOQ83k6dOvHoo48C8NVXX9Vza4QQDUWzDHjhf2kNJ06cIC8vr8rHkRFeIURzoUtrOH78OIWFhfXcmvLpJq+tWrWqwaZfCCHqVrMNeF1dXWnTpg0FBQUcP368yseREV4hRHNxxx13YGtrS15eXoP+kf/II4/QuXNnrl69yg8//FDfzRFCNADNNuAtndZQnWoNuhHeM2fOkJ+fXyNtE0KIhkir1TaKtAatVsuMGTOAkslriqLUc4uEEPWt2Qa88L/yZMeOHatysNquXTusra2lNJkQolkovepaQw4kp06dioWFBUeOHGH//v313RwhRD1r1gFvx44dad26Nfn5+VVOa5DSZEKI5qRr166YmZlx5coVzp49W9/NKZeDgwOTJk0CpESZEKKZB7yl0xoOHTpU5ePIxDUhRHPRokULunbtCjTstAb43+S1sLAwLly4UM+tEULUp2Yd8AL07dsXgMOHD/Of//yHt956i6VLl5KSkmL0MWTimhCiOSmd1tCQeXt7M3DgQAoKClixYkV9N0cIUY+afcDbqVMnLCwsyM/PZ8eOHWRkZLBp0yb8/f2JjIw06hgywiuEaE569uwJQHJyMllZWfXbmNvQjfIuXbqUqKgo0tLS6rlFQoj60OwD3rS0NFJTUwF47LHHePjhh9m4cSOjRo1i3rx56raKyAivEKI5admyJZ06dQIa/iivv78/NjY2nD9/Hh8fHzp27MjKlSvru1lCiDrW7APeiIgI9d+HDh0iKiqK2NhYvLy8aNOmDZs3b77tMXQjvMnJyVKaTAjRLDSG8mQAly5d0lt8ori4mMDAQBnpFaKZafYB799//42ZmRmAWmJn/fr17Ny5k/bt25Oenn7bYzg7O2NlZUVxcTHJycm12VwhhGgQ+vTpA5T0odVZrbK2xcfHlymfVlRUJFfkhGhmqhXwxsfHc++99+Ll5cWAAQM4ceJEhfuvWrUKjUbDTz/9VJ3TVkpKSgpLly7Vm4ymKAoHDx5k5syZHDhwgGvXrhl87MWLF3FycrrtOaQ0mRCithjbzz7yyCP06tWLPn36cP/991er8owxnJ2dcXR0pLCwkFOnTtXquarD09MTrVb/q87ExETts4UQzUO1At7AwEACAgKIi4sjKCiIqVOnlrtvcnIyy5cvZ+DAgdU5ZaVERETg7+/Ppk2byMjIYOPGjfj5+TF69GhmzJjBn3/+iYuLC25ubgYf37ZtW+zs7Iw6l0xcE0LUBmP72R9//JGjR49y+PBhXnnllQr745qg0WjUag0NOa3B1dWVZcuW6QW9c+bMwdXVtR5bJYSoa1UOeC9evEh0dDSTJ08GYNy4caSmphoc4SwuLmb69Ol8/vnnmJubV721lZCSksKHH36Ir68vmzZtwsfHB1tbW4qLi0lPT6dFixb4+/vz6aef0r17d4PHaN26NRMnTjTqfDJxTQhR0yrTz9rb26v/vnr1KhqNptbbV7o82Y8//thgUxumTZvGmTNneOihh4CSNAwhRPNS5YA3NTUVZ2dnTE1NgZJf+25ubgbr137yySfcd9999OvXz+jjz5o1C19fX9atW1el9kVERGBjY8Pjjz/OE088wYIFCzh79iy2traYm5szduxYgoKC6NSpU7m/9OPi4sjIyDDqfDLCK4SoaZXpZwGefvppOnTowDvvvMOaNWtue/zq9rM3b97E1NSU7Oxsdu7cyf79+9m4cWOVV66sTa6urixZsgQoGQ2Pi4ur3wYJIeqUaW2f4Pjx42zYsIE9e/ZU6nFLlixRV0GrivT0dDw9Pfnss8+4fPkyTk5OPPnkkzz++OO88soreoGsl5cXGo2GM2fOqLlohYWFZGRkMGfOHJYtW6Z+4ZRHRniFEPXtu+++A2D16tUEBQWxdevWCvevbj+bkJBAYWGhenv9+vVASWDeo0ePKh+3tvTq1YtRo0YRGRnJwoUL+eabb+q7SUKIOlLlEd4OHTpw7tw5tbNTFIWUlJQy+bB79+4lOTkZT09P7rjjDv78808CAgL46quvqtfy23BxceHUqVPExsZiZmbGypUrmTRpElqtlri4OFxcXNR9e/TowZgxY9TLhgCvvfYaxcXFHD16lJCQkNuer3RpsoKCgpp/QkKIZsfYfvZWU6ZMYffu3Vy5cqXW2paXl6eXRlFay5YtG2x6w9tvvw3AmjVrKrWiphCicatywNu2bVu8vb1Zu3YtABs2bMDV1bXMzNcZM2Zw7tw5kpOTSU5OZuDAgSxbtowZM2ZUr+W3MWrUKLX24qhRo2jXrh15eXksXryY7OxsRo8eXeYxjo6OuLu7AyW1G+fMmQPAt99+y19//VXh+ZydnbG0tKSoqEhKkwkhaoSx/WxWVpZeCcWffvqJ1q1b4+DgUGtti4yMJDQ01OC20NBQtmzZUmvnro67776bhx9+mMLCQj766KP6bo4Qoo5Uq0pDSEgIISEheHl5sXDhQlatWqVumz59ut6iDnXt7Nmz6r937NjBc889x8iRI4mMjGTOnDl06NDB4ON0S2YeO3aMoUOHMmbMGBRF4d13361wtESr1UppMiFEjTOmn7169SqPP/44PXv2pHfv3ixdupQtW7bU6sS1UaNGMWHCBIPbJkyYwGOPPVZr566ut956C4AVK1Zw4cKFem6NEKIuVCuHt0uXLuzfv9/gthUrVhi8/7///W91TmkURVH4+uuvAfD19cXBwYH09HTGjh3L6NGjyw12oSTg3bx5M6dOnSI/P59XX32VI0eOkJSUxPvvv89nn31WpqajTufOnTl27Bjx8fGMGDGiVp6bEKJ5MbafPXDgQF01CQALCwsyMzMNbsvMzMTCwqJO21MZDz30EAMHDuTPP//k008/ZeHChfXdJCFELav1SWv1Yc+ePZw8eRJLS0tmzpxZqct6rq6utGrViszMTOLi4ujRowcLFizg6aefZv/+/SxduhStVkt6ejouLi74+vqq+XQycU0I0ZzoJvxev36d33//HYAHH3wQLy+vem5ZxTQaDW+//TajRo3iyy+/JCgoiFatWtV3s4QQtajJLS1cXFysTjIbP358pXPYNBqNmtZw9OhRADw8PHjttdeAklnQYWFhZGRksGnTJvz9/YmMjASkNJkQonnRTfh94oknsLW1BUoGDapTocHQ6pi14dFHH6VXr15cv36dzz//vFbOIYRoOJpcwLtr1y7i4uKwtrbWq7pQGaXzeHVrsHt7e6v5cC1btmTx4sX8/PPPjBo1innz5pGamiojvEKIZsnCwoIhQ4YAcPjw4Sof59bVMW8dVKhJGo1GzeX97LPPuHHjRo2fQwjRcDSpgLeoqIhly5YBMGnSpHJL5tzOnXfeiZmZGRkZGerM58jISGxtbXF2diY9PZ358+djYWHBa6+9hrW1NZs3b1ZHeP/55x8pTSaEaFb69OkDlKxiVpWSZKVXx9y8eTMLFy4sM6hQ0/z8/PD09CQjI8Oo8pNCiMarSQW8O3bsICkpCVtbWyZNmlTl47Ro0YIuXboAJaO8ULKQhZeXFwsWLMDExITt27eTlJSEhYUFXl5eak6vhYUFRUVFnDlzpkaekxBCNAbOzs60bduWwsJCTpw4UenHR0REYG1tTefOnZk0aRJDhw5l6tSptG3bFktLSzZv3lzmMdVNfzAxMeGNN94AYPHixQ22drAQovqaTMBbWFioju4++eSTaj5ZVfXq1Qv4X8Dr4uJCfHw8nTt3ZvDgwQBs2rSJvLw8dSELKU1WOWlpaezevZu0tLT6booQopo0Gg29e/cGKp/WkJeXx59//klubi4fffSRemUtISGBZcuWcePGDTZu3Mj333/PxYsXgZpLf5g8eTIdOnTg/PnzfPvtt5V6rBCi8WgyAe+vv/5KSkoKLVu2ZOLEidU+ni6PNzExkRs3buDr68uNGzdYvHgxjz76KABbtmwhODhYbyELmbhmnJUrV9KxY0eGDBlCx44dWblyZX03SQhRTbq0hmPHjlFUVKS3zdBobHZ2NqtXr8bX15e///6bgoIC2rRpw2uvvcYvv/zCO++8w4ABAwC4du0an376KY8++ihPP/00H3zwAcOGDePnn3/m66+/rnL6Q4sWLXj99dcBCA4OlnQ0IZqoJhHwFhYWsnz5cgCefvpprK2tq31MBwcH2rdvj6IonDhxAjc3N+bMmUNkZCRz586lRYsWXL9+nZ9//llvIQuZuHZ7aWlpPPvssxQXFwMllTUCAgJkpFeIRs7d3R1bW1tyc3OJi4tT7791NHbjxo2MGzeO4cOH8/nnn5ORkUHbtm3RaDQMHDiQxx9/nDZt2jBs2DDat2+PVqvl2WefpU+fPiiKwsmTJ1EUhV9//ZXXX3+d06dPl5lTURnTp0+nbdu2JCcns27dupp+WYQQDUCTCHgjIyM5e/YsDg4OPPHEEzV23NLVGqBkZaHw8HDGjh2r1t698847GTVqlPoYGeGtmKIovP7662r1C53i4mLuv/9+3n33XQ4dOqS3XVIfhGgctFqtmg6mS2soPRlt3bp19OrVi8LCQhRFITc3F2dnZ95//30iIiJ499132bp1K48++qje6pjvvPMOgYGBrFixgi1btuDl5YWVlRXFxcXs37+fadOmERUVpTenojIsLS15+eWXAZg7dy47d+6U/kaIJqbRB7z5+fnqakNTp07F0tKyxo6tC3hPnDihXp7r0KEDM2fO5D//+Q8mJiacPHmSf/75R32MjPCWr6ioiMDAQNavX29we3JyMh988AHe3t64u7vzyiuv8MYbb0jqgxCNiC6t4ciRIyiKQkREBDY2Nrz44ovMmDGDb775hpycHO644w4sLS3x8fHhsccew9TUVB1UGDNmDA4ODowdO5bw8HC9QYV27dpx7733YmZmxrp167jnnnvIy8vjjTfe4Msvv1TnVFTW888/j6WlJYmJiQwdOlT6GyGamEYf8P70009cuHCBNm3aMHbs2Bo9tru7O9bW1uTk5JCUlKS3rW3btgwaNAgombymU7o0WWFhYY22pzG7efMmEydOZPny5Wi1WqZMmYKJiQlQMlP6s88+Y82aNYwdOxZLS0uSk5P59NNPCQ4O1kt9CAwMlJEXIRqwO++8E3NzczIzM0lJSSE9PR1PT0/CwsI4c+YMrVu35qOPPuLHH3+ke/funD9/Xu/xukGF+fPnM3PmTINLwevmVISGhrJgwQK1Ks8333zD9evXGTZsWKXbfe3aNb0qDdLfCNG0NMqAVzf5ISgoSF0h5//+7/9qfO12rVZL9+7dgf+tulbamDFjAPj555+5efMmAO3bt8fCwoLCwkIpTfb/ZWdn4+vrS1hYGC1atODHH3/k22+/JTk5md27d5OcnMxLL73E5MmT2bBhA5cvX2bTpk088sgjZY5VVFQko+dCNGAtWrSgW7duQElag4uLC6dPn+abb74B4OWXX+ahhx4iPz+/yqOxpedUjB49mri4OLX/VxSF9957r0wgfTvx8fFlUq2kvxGi6Wh0AW/pyQ9xcXHk5uYCYGZmVivnu7U8WWn33HMPTk5OXL16ld27dwMlQbKHhwcgaQ0AGRkZ+Pj4sH37dqytrdmyZQvjxo0DSpYgffDBB3F1ddV7jJWVFY8//jgrV65Eq9X/iJYu/SaEaJhKpzXoRmNv3rxJr169GDZsGHl5eSxevFivwk1l3Zr+MGHCBD788ENatWpFXFwcTz/9NEeOHDH6eJ6enmX6GxMTE+lvhGgiGlXAW3ryw4YNG8jOzgZKOteFCxfWyko83bp1Q6vVcu7cOS5fvqy3zcTEhMcffxyAjRs3qvfLxLUS586d44EHHmD//v20atWKqKgofHx8jH68q6sry5YtU1MfoCTgvTW9RAjRsPTs2ROtVsvZs2dJTExUR06TkpKYMWOGOhmtdIWbqrg1/WHYsGF89913eHl5kZGRwXPPPceWLVuMWqDCUH8zYsSIMj/IhRCNU6MKeHWTH1577TUOHz5MRkYG7du3Z8mSJVUqRWMMa2trdcTW0Civr68vWq2W2NhYkpOTgeY9cU1XUeH3339n0KBBHD9+HGdnZ/bs2cPAgQPV/YxdIWnatGkkJyerwXJhYSGjRo2qdGF7IUTdsba2VvtB3WIOw4YNw8/Pr9zJaDXF2dmZFStW8NBDD1FQUMD777/PuHHj2Lhx420XqND1N//+978BiIqKqvTqbUKIhqlRBby6yQ/m5uY8+OCDrFu3jjlz5mBjY1OlUjTGurU8WWlOTk7q5LWffvoJaL4jvKUXkxg0aBBJSUm4u7uzb98+evTooe5XmRWSUlJS+Omnn9i5cycjRoxg0KBBXLt2jeHDh5OYmFiXT08IUQm6tIaCggLs7Ox4/fXXbzsZraZYWVkRHByslqlUFIWuXbuyePHi2y5Q4erqyjvvvMMDDzygVn8QQjR+jSrg1S3vq5tJ6+npyYABA/SW960NuoD39OnTBtda11WHiIyMJD8/v1mO8KalpREQEKBWVND58ccfcXd3V2/r0lJGjhzJG2+8weTJk/noo494+OGHy3wB3RoYb9myhZs3b9KnTx8uXLjAI488wrlz5+rsOQohjNepUycAbGxsmDZtGvb29nV6fq1Wi5WVFZaWlrRo0YK//vqL5557jsLCwtsuUKHRaPj000/RaDSsW7eOP/74o07bLoSoeY0q4C29vK8u8KyJyQ+34+zsjKOjI4WFhfz9999ltpeevLZr1y51hDcpKanZlCaLj48vE+wCXL9+Xe92REQElpaWHD9+nDfffJNZs2YREBDA9u3bKSoqwt/fH19fXyZMmMDcuXNxdXXF19eXWbNm8fPPP+Pr64uZmRmdO3cmKSmJ4cOHk5WVVUfPUghhrPXr15OTk4NGo1EX6qlr6enpdO/enZUrV9KqVSv+/vtvXnrpJYqLi297VbBv374888wzQEllCUP9mxCi8WhUAW/pUjS3rsRT3ckPFdFoNBWmNZiYmKjB9qZNm3B1dcXc3JzCwsJmk/9l7Azn6OhocnJy+Oeff7C3t6dr1644OTnRokULoGSZ6PT0dHV0/MyZM6xZs4YpU6awevVqZs2ahY2NDU8//TROTk4cPXoUX19ftVqHEKL+/f3332zcuFH9MWqo36wLuquCnTp14osvvsDW1pajR4/y8ssvc/r06dteFZw3bx42NjYcOHCAH374oY5aLYSoDY0q4IWypWhqc/JDabqA9/jx42VqNcL/Jq/FxMSQmpra7EqTubq6qrU3oSTYDQkJUWc45+XlMXfuXI4fP05xcTH9+/dn/fr1rFmzhp9//pmdO3dia2vLuHHj+Oabb+jTpw8dO3bk+eef54EHHqCoqIjly5fz/PPP4+bmRm5uLtu2bcPOzo69e/cyfvx4ta6vFIoXov4oisLixYvVvFmAkydPqrXK61Lpq4Jubm58/vnnWFpaEhMTw/Xr1xk5cmSFj2/Xrh1vv/02AG+88YZaGUgI0fg0uoAXjFuJp6Z5eXlhbm5OVlaWwYkO7dq147777gNKJq81t4lrJ06c4Pjx4wCsXbuW5ORkpk2bBpQsGTxlyhQiIiKAkhHz9u3bY2NjA5QEwx9//DE5OTlMnjyZXr160adPH7Kyspg0aRIff/wx8+fPx87OjpMnT3L8+HGysrLo2bMnkZGRWFhYEBkZibu7uyxBLEQ927ZtG4cPH8bCwoKXX36Z1q1bU1BQwKlTp+q8LbdeFVy6dCkajUbdHhISctu0s1mzZnHHHXdw9uxZFi9eXNtNFkLUkkYZ8NYHMzMz7rzzTqD8y3O6ldciIyOb3Qjvp59+irm5OQ899BAnTpzgp59+IiUlha1bt/LUU0+RmJhI69at+eqrr3j33XfZsmVLhWkpt+ZrP/LII6xevZq2bdsCcODAAV588UXuvPNOvvjiCwB15F2WBBWifuTk5PDZZ58BJatfOjs7q9Ua6quU4K1XBZ944gneffddzMzM2LlzJ3Pnzq0wP9fCwoKPPvoIgODgYOlXhGikTOu7AY1Jr169OHLkCMeOHePRRx8ts/3ee++lbdu2XLx4US1e3hxGeC9cuMCWLVvo3r07hYWFZGRk8Oeff7J69Wo1CL3rrruYO3cujo6OQEnJos2bN5Oens7YsWMZPXq03ki9bmRm3rx57N69G09PT+Li4sjOzmbEiBHs2rWLv/76i/HjxzNq1CjMzc1p3bo15ubm3Lx5kytXrpCQkCBF44WoQ6tWreLSpUu0b9+eyZMnA9C7d2927tzJ0aNHKSoq0lvYoa7orgqWZmdnR1BQEFu3bsXS0pI33nhDb/S3tHHjxnH//fezd+9e3nzzTdasWVMXzRZC1CAJeCtBV0v2n3/+4fvvv2fcuHHq+u0ApqamjB49muXLl6uT1Y4ePUpaWlqTDrwWLVpE+/bt0Wq1bNu2jQsXLvD6669z7do1ACZMmMDLL7+s90Vn6AvoVqNGjSo3MJ42bRrvvvsuJ0+e5IcffqB79+4UFRWRk5ODnZ0d7dq148yZM7X6vIUQJaUGIyIiSEhIUMt3vfLKK5ibmwMldcmtra3Jzs4mISGBLl261GdzVQ8++CD//ve/eeedd9iwYQMWFhaMHTuWyMhI0tPTcXFxwdfXFzc3N7VM2YABA1i7di0zZ87k7rvvru+nIISoBElpqIS0tDTs7OwA2LNnD/v372fjxo1q7irA6NGj0Wg0JCYmYm5uTmpqapPOKc3NzWXz5s0UFRXxyiuvEB0dzVNPPcU///yDg4MDVlZWWFhYVHlUp7x87TvuuINvvvmG8ePHAyV5wcXFxZw/f56jR49y48YNvvjii1pZbloIUaJ0rexjx46pqQFXr15V9zExMaFXr14AHDlypF7aWZ7hw4czZ84cAL7//nv8/PzKXRCnX79+TJ06FSjJ6zU0eVkI0XBJwFsJcXFx6qgllNSZ3LZtm17aQrt27fD29gZQL9835ZzS7777juLiYoqLixk8eDDvvPMOubm53HXXXfzwww9069at1lbAMzU1xdLSEmtrazp06ECLFi3o0qULXl5exMfHoygKmzZtqpVzC9Hc6RaR8fX15e233+bq1atotVoefvhhPvzwQ70fm6XzeBtaoDh69Gh1gq2iKEyaNImvv/7a4IpsH374IdbW1vz555+sX7++PpsthKgkCXiNlJeXV+5KQS1bttRbgU2X+tCmTRs6deqEi4sLpqamTW4CW3FxMZ988gk3b97ExsaGDz/8kJycHPr06cOiRYuwsbGp1RXwoKSwfNeuXVm3bh2PPvooiqJgY2NDhw4duHr1Kr/++mutnVuI5iwiIgIbGxtmzZrF0qVLAZg0aRL//ve/y6xi1rVrV8zMzLhy5QqrVq0yuGJlfSoqKlJTML766itCQ0OxsLAosyKbs7Mzb731FgCvvvoqv/zyS5McyBCiKZKA10iRkZGEhoYa3BYaGsqWLVvU2zY2NiiKgomJCZaWlrRp04bu3bs3uZzSrVu3EhcXR35+PpaWlpw9exYnJydMTEz4448/mDNnDlqtttwV8PLy8ggLC6vWl5+usDzA+++/r15ybNOmDTY2Nhw5ckRGYoSoBenp6Xh6enLy5ElSUlJo2bIl06dPx8LCoswqZvHx8eqAwV9//WUwHaw+paen07NnT3Wk96OPPuLXX381+FxefvllHBwcOHfuHCNHjmzSKWtCNCUS8Bpp1KhRTJgwweC2CRMm8NhjjwEll/m+/vpr2rRpA0BBQQHHjh2jW7dufPnll402p9RQcPrxxx8DJc9fN1FMN5q7YcMGrl+/zkMPPYSTk5PesY4fP87GjRv5448/iIqKqtaXX+nyZTdv3mTmzJm89NJLAGi1WiwtLZk2bVqDyx1siFJSUliwYAHTp09nwYIFzWaVwMYgPj6ee++9Fy8vLwYMGMCJEyf0tufl5fH444/j5eVF79698fHxqfUrSrofmzt27ADggQcewMbGhry8vDJXduLi4rh06ZJ621A6WH3SPZepU6eq8wLee+89/vvf/5Z5LleuXCEzM1O93ZRT1oRoSqRKg5EsLCz0OrnSMjMz1WoNust8X3/9NX5+ftjZ2XHHHXewfPlyRo4cyebNm29bnaAhOX78OHFxcdjb2xMVFYWjoyOZmZkoisLff/9Nnz59yM3NxcHBweDjU1JSePHFF7G2tqZVq1a0atWqzOIduhFYjUajpoOUlpeXR2RkJKNGjdKrigHlly/TLXNsb2+PVqtlzJgxREdHl9vO5i4iIoIPPviAgoICcnJyiI6OZuPGjbz77rsGVzFMSUnh+++/JzExEQ8PD5588knc3NzqoeXNQ2BgIAEBAUydOpXw8HCmTp3KwYMH9fYJCAhgxIgRaDQali5dyvTp0/nvf/9ba23y9fVlzZo1/PLLLwA89NBD5OXlsXjxYrKzs9UrO8akg936d13XdM/l448/5pVXXiErK4tt27YRFBSEoih6V6l08wNKKyoqkjKIQjRwEvBWgpeXFxqNhvz8fHbt2gWUTFLz8vJS99Fd5rvjjjvo378/0dHR3Lx5k4KCgjKXxhqDuLg4tm3bpt7WBaeKouDr62v0cbKzs8nOzq5wFOTGjRtkZWWpX47lBdteXl56gXF55cvS09N57bXXgJKC+BMmTOCXX36plzqg9el2wemRI0f44IMPuHTpEikpKSiKgkajwc3NjX//+98cPXqUjh07qj9Yjh07xooVK4wKjnUlq24t8ySMd/HiRaKjo9m+fTtQUhN25syZJCQkqCs6WlhY6C2TO3DgwFpfFczNzY1nnnmG5cuXA7BmzRree+89srOz9RaRiYyMJCoqyuAxQkNDycjIwM/Pr1bbeju3/nDu3LkzJiYmFBUVYWlpqbcam6enJ1qtVm+xCo1Go74XQoiGSQLeSujRowc9evQgLy+PrKwsYmNjuXjxot6CCS4uLvz111/k5eUxYcIEoqOjad26NX/99RdxcXGMHTu2Hp9B5eTl5dGyZUuD2zQaDTk5ORQUFHDjxg3uueceg5fAx48fr44CZ2RkEBUVxd9//23wmPv27WPfvn107tyZbt26ceHCBf766y91e0UjwYbq+nbo0IHly5fz/PPPA3Du3DlmzJhBr169mk0AZmjkdsOGDXTo0IGLFy+SlJSElZWVWm7Py8uLFi1aqJU3FEVh/fr15Obmql/wrVq1Ijc3l8zMTPLz8zl79ixt2rRh7ty5dOzYUS1BFRERwYcffoiVlRVt27Zl//79rFmzhjlz5hgcNRaGpaam4uzsjKlpSXet+zGSkpJSbpD12WeflZs7X9qsWbOwt7dn4sSJTJw4sdJtKyoqAqBjx444OjrSq1evMovIjBo1CkdHR4O59BMmTOCee+6p9Hlrw60/nCdMmMBff/1FQkICM2fOZOXKlbRr1w5XV1eWLVtGYGCg+vy1Wi0ZGRkywitEAyYBbxVYWFgQGBjIokWLSExMZO/evWoOr+7S2OLFi5k1axZarRYzMzOWLFmid5mvMVi/fj379+8vd/v169dJS0tj4MCBdO3a1WDAm5WVpaYRtG/fHk9PT/bv32/wy8/GxoYbN26QkJBQYf5heZdBDaU+3HnnnXz33XdMnTqVrKwsYmJiOHbsGG5ubg06AKsojcPY/VJSUpg3bx6XLl0iIyOD/v37k5SUhJ2dnfpetW/fXt3f0dERrVaLi4sL6enpaoBrbm6uzmDXsbKywsbGRt23qKiI4uJiJk2aRHFxMS4uLly9epW2bduybds2dYWtiRMnMm/ePPr06aMXFDWWkWBj35ebN28ycODAOmzZ/8yfP5+EhAR27tx5232XLFmillGsCl3KxPTp0xkxYoTBfYxNB2sIbv3hnJWVxbRp0zhz5gwvvvgiy5cvx97enmnTpjFs2DDi4+NZsGABO3bsYPLkyRw8eLDM34oQomGoVsAbHx/PlClTuHz5Mi1btuTbb7+le/fuVd6vsXnwwQdJTExkz549jBgxAhMTkzKXxlq0aEFeXh7nz5/nvffe0/uSb6iKiorYtm0bBw4cKHcf3TKhNjY2vPPOO1y6dKlMusewYcP00j2g4i+/++67j8GDB3Py5El27NjBxYsXDe4XGhrKqVOnmDp1KtbW1rdNfXB1deWTTz7hmWeeQaPRkJeXxy+//EJOTk65AVhtuV3AZGwax/Hjx4mOjiY5OZlz585x4sQJNY3mzjvv5JdffuGjjz7CysqKbt26oSgKbm5umJub06JFC65fv861a9ewtLTE0tISRVFwd3fn8OHDODk5kZqayuDBgzl16hTdunXj/vvvJzc3l4iICG7evMn169fJz8/HycmJ3NxcLCws1GNCSaAAcP78ebp3746zszPHjx/n559/plu3bmzatEmdXKgbCdbVU/7zzz8r/CFSEz8GqvK+lPd6G3pf4uPj1ZHu6urQoQPnzp2jsLAQU1NTFEUhJSXF4A+CxYsXs3HjRqKiorCysqqR85cnJSWFpKQkTExMuO+++yrc11A6WJs2bcr0Dw2Nvb09X3zxBc888wz//PMPs2bN4quvvsLS0hJXV1dcXV3p3r07PXr04NixY7z77rsEBwfXd7OFEAZUK+A1ZiJFZfZrbLy9vQkLC+Pq1ascOnSI/v37A/qXxvbt20d8fDwajYaePXvWc4vLuvWLPjk5me+++46zZ88C0Lp1a65cuVLmcW3atFFzZJ2cnHByclLTPYqKinjsscfUy+S3MvTlpwuOHR0dGTx4MHfddRe///47P/74o8FjHD16lFdffZWOHTui1WpJSkpStxlKfdizZw82Njakp6djb2/PQw89RHR0NOvXr+e+++4zOJmwpgMmYwLZ8nKmb03j2Lp1K4mJiertc+fOce7cOf773/9y4MABTE1NsbKywtnZmbZt26r76YIke3t7HB0d+eCDD0hPT+f1118H/rdAQP/+/cnJycHCwoKXX35Z/TGQkZHBnj178PDwUI95xx13ACULgXh6emJmZsahQ4cwNzfH1taW/Px8dXlWXbD97bff8v333+Pi4sK1a9fo0qULhw8fxtPTk0uXLjFgwAA+++wzvR8ilQ06b7dfZfYt7/W+ePFihfvVhLZt2+Lt7c3atWuZOnUqGzZswNXVtUw6wyeffMK6deuIiooqd5JYTdKN7vbv37/cv3Wd0ulg169f5+DBg1y+fLlWa3TXlHbt2qmTAI8fP05QUBCffPKJmmLStm1bli9fzuOPP85HH33EY489xv3331/PrRZC3EqjVHHZm4sXL9K5c2cyMjLUUQdnZ2c1B7Oy++nExsbSr18/YmJiqnWpra5ERETw888/4+npqU6QKi0hIYHhw4ereXKvvvpqPbSyrNIBWGhoKH5+fhw8eFCtFWxtbc0TTzyBjY0N8fHxesFpamoqeXl59OnTh48//hiNRlOlNuTl5bFx48Zyg+ONGzfqBX86bm5u5Ofnc/78+QqP//DDD/PII49gb2/PW2+9xZkzZ0hISMDc3FxNwVAUhVatWtGpUyfmz59v8LWZMGGCweC0MvuW91yGDBnCgw8+SHZ2NhkZGRw9elQvb1mnXbt2WFlZqTnTly9frpPJd1qtFhsbG8zMzDAxMaG4uJj09HRatGhRZt+cnBy8vb2xt7fn9OnTnDt3zmDwrxsJ1nU9dnZ2Bt//69ev07FjR4YPH45Go2H79u16pa102rRpg4+PD4qioCgKUVFRXL58ucx+rVu3ZvDgwep+iqKwd+9eg1cc7O3tueuuu4CSIH/37t3Y2toabON9992HRqMhPT2dpKQkvf0++uij2waDxjh9+jRTp07lypUr2NnZsWrVKvUH9PTp0xk8eDBTpkzB3d1dPb+5ubnBzxLUTD/7zDPPcPToUYKCgvD396/UYz/++GPi4uJ47LHHGlw6UXmOHj3K888/T15eHoMHD6ZTp06cO3dOTcF5//33WbVqFZ06deLIkSMGPy9CiJpx7do1WrZsydWrV43uY6sc8MbExDBp0iROnz6t3nfXXXexcOFChgwZUun9dHQd8f3331+tyRR1JTMzk7feeovi4mLeeeedMpMWdPmMrq6uWFtbs3379gaR41VeAAYl788TTzyhdtgpKSls2rSJI0eOcODAASwsLGjZsiWhoaHq8sm14fjx42WCbd1IcI8ePcjIyGDNmjWcPHmywuM4ODhQUFDAxYsXsbS0LLP93LlzdO/enQULFgDlvzbDhw9nzJgxeveVt2+/fv3o1asXN27cIDMzk6SkJL1RaNE81FTAW9OqG/BevnyZESNGoCgKW7du1buKYIwDBw6wcuVKWrVqxfz589Uygg3d77//zqxZs1AUhRYtWtCrVy/i4+O5ceMGr776KkFBQSQnJzNt2jRWrFhR380VosmqSsDbYCetVXcyRV1p1aoVffv2JSYmhv/+979MnjxZb7tWq8XDw0PNbdy5c6de+aD6UFFdzMGDBzNu3Di9usK6mfZZWVlqsO7j41OrwS7oXwY1lCbh4OBAYGBguZPgLC0t1eoQutuG6NIzZs2ahYuLC7m5uQb3O378OMnJyRQWFpKfn6/mshoSExNDTEyMUc/TxMQEe3t7tfyRoZHru+++W817X7hwIYWFhQYvB2dnZ+Pq6sr8+fO5efMmy5cvL7NIAUD37t2ZPn06ZmZm5OXlsX//fjZs2FBmvxEjRtCzZ0+0Wi1FRUXk5ORw7Ngx9uzZU2bffv36qakLR44cqfDSfvv27enYsSMxMTHcvHmz3P3y8vLIzc3F0tLytvm6xu5XUFCAoiiYmZmV+5mAktfy+vXraDQaLC0tDXaqWVlZ5ObmqqPVVlZWdZJOUN/27NmDoih079690sEuQN++fbG2tiYzM5MTJ040yHQvQzp06IBGo0FRFPLz87nrrrtYsmQJixcv5uOPP2bx4sX4+/uzcuVKfH19K1W6UQhRu6oc8Bo7kaIyEy4aqwcffJCYmBj++usvxowZg7W1td72vn37smHDBtq3b8/GjRvrPeCtqC7mnj17MDc3x8/Pj5SUFD788EO8vLxYv349Xl5eWFpaYm1tzaZNm3jyySfrZKKXhYUFkyZNKndbeZPgBg8ezLBhwzh37hyRkZHllkMzNTXF1NSU3NzcCoO0yq6k5ODggIeHB5aWlmRmZnLs2LEy+/j7+zNo0CA1SNu4cWO5qRqrV6/mr7/+QqPR6FVXKC0vLw9XV1d1lTlXV1eDAa+rq6s6qcnMzIwbN24YPF5xcbFevi5QbgUNR0dHhg8fDpSsulXeDxFdKSoLCwvuu+8+/vWvfxks55SWlsZrr71GWloa69atAzD4eUtJSeHKlSsUFxej1Wpp3bq1wf6l9H5AhfueOXOGy5cvk5+fj5mZGa6urgYD3oKCAry9vXnzzTdZvnw5v/32m8HXpqnR5e8++OCDVXq8mZkZd999N7t27WLfvn2NJuCNiIjA1taWKVOm8J///Icvv/wSGxsbXnvtNXbt2sW5c+d49dVXWbx4Mc8++yz33HOPuuqmEKJ+Vfk6UumJFEC5EymM3a8x8/T0pH379uTn5xss49WnTx914tfhw4drfFJLZT3yyCPljsqUXiY5IiICKysr1q1bh5OTE5aWlhQUFPDXX39haWnJ5s2b67LZ5fLy8mL48OF6KTK61Adra2s6d+7MjBkzyl0aOjMzk99++43Tp0/zzz//qBUGbuXs7MyTTz5JQEAAL774Ii+++CI+Pj4G950wYQLvvfce06dP58knnyx3cs61a9f0RiQzMjK4cOGCXhB//vx51q5dy4EDB9TJftevXycvL08vmC0oKCArK0uv9F1Fr01pxu5n7L7GlqLq3LkzDzzwgMH9HnjgAR566CGeeuopRo4cWeaHpI6lpSW9e/fG39+fDh06GMwvBmjRogW2trZqSkybNm3KTS+ytrbm6aef5ujRo2zatIns7GwKCgrKvN7Xrl1j2rRpmJub4+vrS2ZmJgUFBVVaJruxuHHjhlrB5aGHHqrycXQTu44ePcrVq1drpG21Tbew0NNPP80zzzwDwKJFi9i+fbu6sNC8efPo2bMnFy9eJCAgoMyqbEKI+lGtlIaQkBCmTp3K/Pnz1YkUOtOnT1cv6VS0X1Og0Wh48MEH+f777/ntt98YMmSIXk5anz59KCgoIDs7Wx0dNTTBrS7k5OTw9ddfl1vyq3Qwkp6eTtu2bTEzM8PJyQkoGfm6efMmTk5ODWbVuNulPkDFAZifnx8FBQVs3bpVHZE15PDhw0ybNk1vlDEuLs7gvrfWF62oMoVOSkoKy5cvx93dnT179tCvXz8uXrxIYWEhiqJw48YNBg0axMKFC/nzzz+ZN28e1tbW3Lx5k9TUVG7cuKG3wpWxr01l9qvMvsY8Z4CRI0cSExPD6dOn1R+G9957L/369VP38fX15aeffsLW1pa4uDg1vUMXdH722Wd06NCBlJQU/u///o+kpCSys7PVkcN//vmHoqIivv32W/X1SUlJ4ZlnnsHBwaHMMa9evarma7u5ufGvf/3rtq936f3Mzc0Njqw3BX/88QeFhYV07NhRrdBRFS4uLnh4eJCYmMjvv/9e71e+jFF6YaEZM2aQm5vLunXrmDt3LpaWlowfPx5zc3PWrFnDgAED+Omnn1i9ejVTp06t76YL0exVK+Dt0qVLuQsTlE7Yr2i/puLuu+9m48aNXLx4kZMnT+rN0O/evTsmJibq6MDPP//MzJkz67zg+o0bN/jss89ISUnB3Nycvn37YmVlVW4w4uLiwh9//KHmrWVmZnL16lVMTU25cOFCgyu9U1HqA1QcgIWFhTFt2jSioqK4evUqiqKg1WrVQP/+++9n/fr1ZcqXGRvU9ejRAzs7OzZt2oS5uTmdOnWif//+6uX0Gzdu8MknnwAlQbSzszPp6ekUFhZy5coVnJ2dmTJlCm+99RZQdlWo/v37l1nhqjKvTWX3M2bfqgTb5VXtqEzQOWvWLObOnUtRURFnz57l/PnzaDQa3n33Xb3Xx9hjgvGvt26/9evXM3v2bKNex8Zm9+7dQNXTGUobNGiQGvAOHz68wU9eK72w0GuvvcYrr7xCTk4OmzdvJjc3l3bt2gHQu3dvPvjgA9544w1mzpyJubk5999/v6zEJkQ9qnKVhtrS2MqSlfbjjz+yc+dOevbsWaama48ePThx4gQPP/wwWVlZvPfee3Vajufq1assWbKE9PR0bG1t+de//kWHDh0qDDJSUlLw8/NTl5k9ceIExcXFTJgwgbi4OMLDwxvFQhq3Ku85FxcXM3LkSJKSkjh//jw9e/akbdu2nDt3DkVRsLGxwc3NjaVLl+pdXtdVsUhMTKRTp06MGzeuTF6obvKfjY0Nnp6e6szucePGcfnyZfbt20d+fr66f3Z2NleuXFFzTp944gk8PDzU0mnNVWpqqhp0uri4lBvkp6amsnbtWhITE/Hw8GDy5MnlflaNPWZlVGUGcV2qaj+bn5+Pj48P2dnZfPvtt2XK9FVWfn4+s2fPJjc3l1mzZtG1a9dqHa8uREZGMm/ePPVvOS4ujuvXr6sTIT/++GPuvfdeioqKuPPOO9Wcd61Wy7Jly5g2bVo9PwMhGr86LUtWWxpzwHvhwgXeffddNBoNH3zwgd5khcmTJ/P999/z1FNPcfLkSXr27FlnqR0ZGRl8+umnXLx4EXt7e2bNmoWzs/NtH5eXl8eIESO4fv06xcXFuLm5qbPSG+JyvDXh888/54cffuCvv/7CxMSE1q1b4+DgoLdqlbm5OYMGDWLYsGFkZmayaNGiMoFs6dcnJSUFf39/fH19+de//sXx48fZunUr27dvp7CwUD1uQUEBJiYmnDp1iry8PPV+U1NT7rvvPvz8/Mr8kBINU1MNeH///Xf+9a9/4ejoyNatW2tkRPaHH37gt99+o1+/fgQEBFT7eHXh1h9Jjz76KCEhIURFRWFubs5nn31Gu3bt6NixozpJEkoqsiQnJ8tIrxDV1KTKkjVGTk5OdO/enRMnTvDbb7/h5+enbuvbty/ff/89165dw8TEhGPHjhEfH4+np2ettEW38tc999zDl19+yZUrV2jdujUvv/yy0bOGv/vuO3UJWTMzM7p161ZjI2AN1ejRo1mzZg1ubm6kpKRw4cIFLl68SKdOnWjVqhXOzs6cO3eOnTt3snPnTqCkcsDzzz+PhYUFV65cYfPmzcydO5eDBw+iKApHjx4FSkqVjRw5kpycHPV8iqKQnZ1NSkoKWq2WO++8k5EjRxIREaFWNtGNqJeejCZEfdBVZ3jggQdqLP3g/vvv57fffuPw4cNcv369USzY0KFDhzI/Pj/44ANu3rzJ3r17efnll3nmmWf0gl0oWbY9ISFBAl4h6oEEvDXswQcf5MSJE/z+++/4+vqqM8Z1S7YeP34cPz8/oqKi2LhxI0FBQTV6/luXsP3999/Jzc2lZcuWvPbaazg4OBh1nPT0dFavXg2UjGYEBQXxxhtv1GhbGyI3Nzf8/PwIDQ3F3t6enJwcrKys1JGZmzdv8vjjj2Ntbc3WrVvJyckhNTWVN998s8yxtm7dqnc7JSUFgMLCQjIzM8nIyFBH2p9//nlefvllYmNjmTdvHoMGDaJt27ZcuHCBuLi4MjmlQtS14uJitf5ydaoz3KpDhw7ccccdJCcns3//fh555JEaO3ZdMjMzY+HChbz88sscOHCAVatWYW9vj5WVFebm5ty8eZMrV64YXC1QCFH7JOCtYT169MDR0ZHLly9z4MABBg0aBJRMYgBITExk+PDhREVFsXXrVl588UW9y+XVFRcXp7fyl24RBW9vb6ODXShZ+EO3sEJWVlallw5tzCZNmsR7772Hg4MD5ubmXLp0iYyMDIqLi7ly5QrHjx/H1NSUgQMH0q5dOwYNGsSBAwcoLi6mdevWtG3blkOHDmFqakqXLl04deoUly5d4vTp0xQUFKjpChqNBgcHB/z8/NSqHe3bt9ebHHX//fc36RF10XgcO3aMK1euYGNjo1dBoyYMGjSI5ORk9u3bh4+PT5WXK69v5ubmfPzxx7z44oscPnwYDw8PioqKyM7Oxs7Ojnbt2vHqq6/Su3dvgyX/hBC1p2FPiW2EtFqtWld0165dhIWFkZeXh6Ojo3oZS6vV0qFDB7Kzs9m+fXuNnbuiFdTatm2rlxdakQMHDrBr1y40Gg0pKSn069evzOIDTZmrqytLly7lwoUL/PPPP1y4cEG9/dVXXzFgwAAKCwtJSkoiLS2NhQsX8tNPP7F582a++eYbvvjiC86fP8+hQ4f45JNP2LVrF8XFxbRq1UpdVUyj0dChQweKi4sZP3683vl1l0vnz5/PzJkzJdgVDYIunWHQoEGYmZnV6LEHDBiAubk5Fy5cID4+vkaPXdcsLS31yk46ODjw4Ycf8v3336PVamnTpg2jRo1SS/AJIeqGBLy1wMHBAa1Wy9mzZ4mKimL//v1s3LiRu+++GygptK6r8blx48YaO29kZCShoaEGt4WGhrJly5bbHqOwsJDFixcDqMvOPvHEEzXWxsZi2rRpJCcns3v3bpKTk5k2bRr29vY899xzHDhwgGPHjuHr64uJiQktW7ZUH6fRaGjVqhUmJiZASXAwadIkunfvjqOjI7169cLT05NevXrh6OjICy+8IAGtaPAURan26moVsbCwYMCAAQDs3bu3xo9f16KiorC1taVz585cvXqVb7/9lpYtW7Jhwwa1pva4ceP0KrMIIWqXBLy1ICUlRW+ywvr169m2bZsa2Bw+fJhRo0ZhZmbGyZMny13ytrKcnZ3LvRRYegW1ioSHh5OUlISdnR3R0dEAzTLghZKR3gcffNDgBJMePXrw1Vdf4e/vbzCQHTNmDGfPnmXv3r188803fPfddzz55JNcuXJFra375JNPMmXKlHp4ZkJUTlJSEqmpqbRo0YJ77rmnVs6hq+sdGxtLdnZ2rZyjrqSnp9OlSxe+/PJLOnXqxIULF5g2bRr5+fl0794da2trfvvtN1mJTYg6JAFvDasorcDNzQ1TU1MOHz5Mq1at1KVZN2zYUO3z7ty5kzVr1pTbed668ld5+3z99ddASUBXUFDAXXfdVa3VlJq6yZMnc/LkSS5dukRhYSGXLl3i1KlTBldWeuWVV9i/fz/ffPMN+/fv55VXXqn7BgtRBbrR3bvuuqvcJZ6rq2PHjnTo0IHCwkL+/PPPWjlHXXFxcSE+Ph4rKyu+/vprPD09uXLlCs8++ywpKSk89thjmJiYsHr1ahYuXFjfzRWiWZCAt4ZVlFbw999/069fP44fP05BQQFjx45VHzN79myWLl2qzuQ3lqIo/PTTT/z4449AyeS4YcOGqcE0GF75y5Avv/ySGzdu0KVLF44cOQI039FdYxnK9/3888/LLTtU0aixEA1VbaYz6Gg0GnWS7759+xr1yKevry83btxg8eLFWFtbExISQvfu3bl+/TrZ2dkMHTqU//znPwC89dZbhIeH13OLhWj6JOCtYaNGjWLChAkGt917773ExcVx8+ZNTp8+TVpaGlCSN5uQkMCmTZvw9/cnMjLSqHMVFRWxdu1afvnlF6CkhuyMGTMYO3Yso0eP5oEHHuCjjz5i7Nixt10R6dSpU/z0008APPPMM2oeXelawsIwQ/m+QjQV58+f59SpU2g0GgYPHlyr57r77rsxMzMjPT2dFStWGD3RtqFxc3Njzpw5REZG8uijjzJ79my9wYx58+bRvXt3XnrpJQCeeuopDhw4UF/NFaJZkIC3hllYWJCZmWlw2x9//MF9990HlKxHP3/+fHr27Kk+bsuWLYwaNYp58+aRmppq8Bh5eXmEhYVx48YNli1bxr59+9BoNEyePJmRI0eqObwWFhZMmjTJqBVIFEXho48+QlEURowYwalTp1AUhYEDB9KxY8eqvAzNjozciqZKN7rbu3fvSpU2rIrExER1YZzo6Gh1wu/x48dr9by1YdSoUYSHhzNmzBgcHBwYN24coaGhPPjgg+qSyo888giPPvooeXl5PProo6xfv14dCBFC1Cypw1sLvLy80Gg05Ofns2vXLqAkIEpLS8PFxYW+ffuye/dubGxsWLRoEaNHjyYuLo64uDhee+01du3axebNm/VW8rl1QYkjR45w6dIltFotAQEB9O3bt9LtTElJISIigpiYGI4dO4a5uTkvvfQS48aNAySdQQgBv/32G1C76Qw6cXFxpKenq7fXr18PlKQ73O4qVUNkaEW2hQsX8sEHH/Dzzz/z/vvv89JLL3HkyBHS0tKYOHEiWq2WZcuWyZUiIWqYBLy1oEePHvTo0YO8vDyKiop47LHHsLW1JSIigq1btzJgwAAuX75M586dadOmDcOGDSMyMpIFCxbw3Xff4eXlpdfpQ9kFJXSr9fTr169KwW5ERAQffvgh1tbW6uIU+fn5/PLLL+zbtw+gWS02IYQo6+rVq8TGxgK1H/BWNOG3ZcuW5OXl3XbibWNgamrKe++9h42NDaGhoXz22WdAyUQ33YpsL774IsOGDZMrRkLUIElpqEWl0wo0Gg2jR4/m3nvvBcDR0ZHr169z48YNAgIC6Ny5M0lJSXz++efExcXh4uKiHqeijt7d3b3SeW4pKSl8+OGH+Pr68thjj1FQUED79u157LHH+Pzzz2nRogX33XefdLZCNGMpKSm89957FBUVYW9vr1dqsTbURB3xxkKr1fLaa68xffp0AJycnHBycsLU1JQ2bdrQtWtXvvnmm3pupRBNiwS8dWz8+PHs3r2b4uJibG1tmT17NocOHaJly5a0bt2aPXv2oNFo8PX1JTk5mcjISN555x02b95s8HhV+SKIiIjAxsaGoUOHql8wr7/+OkFBQSiKQuvWrSWdQYhmLCIiAn9/f7U8WG5ubqUm1FZFRRN+ja0j3phoNBq9eRdarZabN29y9OhRLl++zObNm4mJiannVgrRdEjAW8csLCwwNzfn119/BUoqLeiCWTc3N9q1a0eHDh34z3/+w4IFC9iyZQvXrl0r93hV+SJIT0/Hzc2Nt956i6KiIh555BEGDRrEpUuXuHbtGubm5moerxCiedFdARo5ciRabclXxFdffXXbCbXVVdGE39TU1CaRznCriIgI7OzsuP/++1EUhTZt2uDh4cH169cpKipiypQpnDlzpr6bKUSTIAFvPejTpw/nz5/HxsbG4HZzc3OuX7+OhYUFffv25emnny43f86YBSVu5ejoyIkTJ7h69SrdunXj3XffBUomiFhZWdG2bVvat29fqWMKIZoG3RWg5557Dl9fX3r16kXPnj157bXXsLa2LvdqU03w8vJi+PDhenXEgSZbuSA9PR1PT08+/fRTXn/9dUxNTWnZsiWDBw9GURRycnK4//77iY+Pr++mCtHoyaS1etCnTx8SEhK4ceNGuftkZGTw3HPP8fDDDwMlkzYsLCz0Kj8Yu6BEaYWFhZw8eZLi4mIsLCyYP38+FhYW5OXl8eOPP2JiYoKvr2/Vn5wQolHTBWFOTk688cYb6v0WFhYGJ9TWpFsn/N59990sXryYM2fOcPLkSbp161Zr564PLi4u/PXXX+Tl5TFhwgT1h0VaWhpmZmbY2tpy9OhR7r//fqKiohplpQohGgoZ4a0Hffr0ITo6mtOnTxvc7uzszJkzZ1iwYAFXrlwBSr4IxowZU+kFJW61ZMkSDh8+jKmpKfn5+UyZMoXnnnuO4cOHU1xczJkzZ3jmmWeq/RyFEI2TblncWyfD5uXllZlQW1t0E349PDx46KGHAAgPD6/1iXN1rfSKbHl5eXTv3p0VK1bQqlUrAFq0aEGfPn24cOECDzzwgOT0ClENEvDWg969e1NYWKiWA7tV9+7d8fDwICsri3nz5uktsVmZBSVuFR4erta1nD9/Phs2bFCLonfo0IETJ07Qs2dP2rVrV7UnJoRo9G4NwqAk2F28eDHZ2dmMHj26Ttvz6KOPYmVlxdmzZ/njjz/q9Ny17dYV2Z577jmeeuoprl27Rp8+fVAUBRMTE/r3709mZiZDhgxh3759pKWlsXv37iab6iFEbZCAtx44Ojri6upKeno63bt318tXGzZsGF27duWDDz7AzMyMvXv31kjO3IEDB/joo48AeP755xkyZIhaFH3+/PmcPn2amzdvSnUGIZo5Q0HYyJEjiYyMZM6cOXTo0KFO22Ntbc2jjz4KwObNmxvtcsPluXVFtrFjxxIeHs7y5ct57bXXMDExQVEU+vfvT25uLiNGjGDgwIFMmzaNgQMH8vHHH9f3UxCiUZAc3nrSp08ftmzZotbn1S1QUXrkdsaMGfznP//hk08+oX///lWui3vmzBmCgoIoKipixIgR/N///Z/e9n/++YeDBw+i1WoZO3ZstZ6XEKLxGzVqFH369GHz5s2kp6czduxYRo8eXefBrs6DDz7If//7Xy5dusT27dub3DwDQyuyQUkVHg8PD9544w2uXr1Kr169UBSFoqIicnJysLOz44cffsDR0ZEpU6bUQ8uFaDxkhLee9OnTB4DDhw+Xm6bw5JNP4u3tTU5ODu+//z5FRUWVPs/Vq1d5+eWXuX79Or169WLOnDlq3UedsLAwoORLxcnJqWpPSAhRK+Lj47n33nvx8vJiwIABnDhxwuB+L730EnfccQcajYbDhw9X+7ylrwDNnDmz3oJdKFmdTPdjfPv27eWWL2uKBgwYwOrVq/Ve/7NnzxIfH6/W7P3iiy9qrVycEE2FBLz1pHTAWx4TExPef/99rK2tOXz4MJ9//jlLly7lrbfeYunSpaSkpBh8XEpKCkuXLuXNN9/kySefJCUlhXbt2vHRRx9hbm5eZv8ff/wRQNIZhGiAAgMDCQgIIC4ujqCgIKZOnWpwPz8/P/bt20fHjh3rtoF1pG/fvnTu3JmCgoJaLY3WELm6ujJ48GBMTU3RaDR07NgRNzc3NBqNWqO4ub0mQlSWBLz1RBfwHj9+nIKCgnL3c3Fx4dVXXwVg7dq1hIeHk5GRwaZNmwyufKRbIWnTpk0cOnSI8+fPA/D444/TunXrMsdPTEwkJiYGExMTSWcQooG5ePEi0dHRTJ48GYBx48aRmppKQkJCmX0HDx7cpJcD12g0+Pn5AfDnn3+W+4O/qbp06RK9e/dmwIABAOoSxFZWVmRkZNTIqL4QTZkEvPWkU6dO2Nrakp+fz99//13hvr1791b/3bZtW95++22WLVvGkCFD+OCDDzh48CBpaWn89ddfzJs3jyFDhjBp0iQuX74MwN13383y5csNXvJasWIFAPfeey9t2rSpwWcohKiu1NRUnJ2dMTUtmW6h0Whwc3OrsWBv1qxZ+Pr6sm7duho5Xm3r1KkTAwYMQFEUwsPD9SrYNHUuLi4kJCTw6aef8u9//1utzd6lSxdatGjBtm3bWLBgQZMr3SZETZGAt55otVo1kL3dL/PIyEhsbW1p1aoVSUlJjBkzhvHjx7Njxw6Ki4uZMWMGjz/+OC+88ALFxcXs2LGDr776Cij5Qvv4448NrpC0cuVKFi5cCMC+fftYuXJlzT9RIUSDtWTJEiIiIpg4cWJ9N8VoY8aMwdTUlNOnT3P06NH6bk6dKV0u7uGHH+ann35i+PDhaDQatFotdnZ2zJ07l9GjRzerHGchjCUBbz3q27cvcPuANz09nS5dujB37lzs7e2xtLRU/9NqtZiYmGBtbY2JiQlarRZra2vs7Oz4v//7P5588kmDKySlpaUREBCg3lYUhcDAQKnrKEQD0qFDB86dO0dhYSFQ8neakpKCm5tbPbes/rRu3VpdgXLDhg1kZ2cTFhbW5MqV3erWcnGvv/46f/zxB1qtVv0+6Nq1KwcPHsTb25uff/6ZBQsWMH36dBYsWNDsUkCEuJWUJatHxkxcg/8tP9m3b1+ioqLU+/Py8hg5ciRjx45l5syZLF26lE2bNvHzzz9jYWGht19cXJxejm58fHyZS19FRUUkJCQ06TxAIRqTtm3b4u3tzdq1a5k6dSobNmzA1dWVzp0713fT6tWIESPYs2cPFy5cYO3atcTGxuLo6EhmZiZeXl5Ndgne8srFWVpa8uGHH7J3715cXV3Jzc3l3XffVcuXRUdHs3HjRt59911GjRpV309DiHohI7z1qHTAW1EumrErH1VmhSRDI0QmJibN/otUiIYmJCSEkJAQvLy8WLhwIatWrVK3TZ8+nYiICKCkmoOrqytpaWkMGzasSf8tW1pa0qlTJwBiY2MBWL9+Pdu2bSM+Pr4+m1brDJWLc3R05JNPPmHOnDmYm5tjaWmJoihlypd98MEHUr5MNFsywluPunXrhqmpKRkZGaSlpZVb51J3KWvevHns3r0bT09P4uLiyM7O1lv5yNj9AKKjo/XOYWJiQkhIiIzuCtHAdOnShf379xvcppt0CiWBcXORl5dH9+7dOXnyZJltLVu2JC8vT+8qV3Og0Wh4/PHHOXXqFJs2bQKgY8eO2Nvbk5qaypkzZ3B1dWXz5s0GF7kQoqmTgLceWVhY0LVrV44dO8bhw4crLOxu7MpHxu6n+6L817/+xeOPP07nzp0l2BVCNAqRkZF66V2lhYaGkpGRoZYwa26uX79Ot27d2LZtG87OzrRs2RI7OzsuXrxITk6OwR8JQjQHEvDWsz59+qgB7+1yq8pbfrKy+yUlJREVFYVGo2HWrFnccccdlW22EELUm1GjRuHo6Mj69evLbJswYQL33HNPPbSqYdDN+Xj//fd5+eWXcXFxwd7eHicnJxRFISoqipdffpm5c+dia2tb380Vos5UK4fX2CUvdVatWoVGo+Gnn36qzmmbFGMnrtWkb775BgAfHx8JdoUQjY6FhUW5pbfOnDnT7NIZStPN5bh06RLHjh1jxYoVvP3221hbW6PRaLCzs2P79u307t2bjRs3cubMGanmIJqFao3w6pa8nDp1KuHh4UydOpWDBw8a3Dc5OZnly5czcODA6pyyyanrgLewsFCd9PLss8/WyTmFEKKmeXl5odFoyM/PZ9euXer9R48eJSsrC3t7+/prXD0qby6HrqrPf//7X6Bk4t+cOXOwtLSUag6iWajyCG9llrwsLi5m+vTpfP7555ibm1e9tU2QbvGJpKSkOsmt+uWXX0hPT8fR0RFfX99aP58QQtSGHj16MGbMGEaPHs0DDzzA3LlzadeuHdnZ2Xz55Zfk5+fXdxPrzahRowgPD2fMmDE4ODgwduxYwsPDmTt3Llu2bMHf3x8AKysrAK5cuUJSUpJUcxBNWpUD3sosefnJJ59w33330a9fP6OP39iWvKyq0ukdPXv2rPXVznST1aZMmUKLFi1q9VxCCFHbLCwsmDRpEk5OTsycORNra2vOnDnDqlWrmvUyu4bKlwHY2dkRFBTEmDFj0Gq1aDQanJyc6NGjB+3atSMtLQ1zc/MyK3MK0diVG/Dec889ODo6GvyvMr/8jh8/zoYNG5gzZ06lGtYYl7ysrFtXOysuLq7V1c7S09P5+eefgZL6nUII0ZS0adOG5557DhMTE2JjY4mMjKzvJjVY2dnZdO/enYSEBHJzczE1NcXFxYUePXpw7do1fv31V65evVrfzRSixpSbw1te3Ucdc3NzdclLU1PTcpe83Lt3L8nJyXh6egJw/vx5AgICOHfuHDNmzKiBp9B41fVqZ99++y1FRUUMGjSIO++8s8aPL4QQ9c3Ly4snn3yS7777jq1bt9KuXTvuvvvu+m5Wg6Or5hAcHMwLL7yAra0tzs7OWFlZYWJiwrlz5xgwYAC+vr7MmTOHa9euERERQXp6Oi4uLvj6+jbrJa5F41PllIbSS14C5S55OWPGDM6dO0dycjLJyckMHDiQZcuWNftgF8DT0xOtVv8t0Gq1tbJCUnFxsZrOIJPVhBBN2X333ccjjzwCwHfffUdiYiJ5eXmEhYWpq1A2d6WrOZw+fZpNmzYRERGhlnTTVXTYvXs3gwYNYuzYsYSFhZGYmMiGDRvw9/eXEXTRqFSrLJmxS14Kw1xdXVm2bBkmJibqfe3ataN9+/Y1fq7du3fzzz//YGdn12wLsgshmo8xY8bQp08fCgsLWbJkCTt27CAqKor9+/ezceNGjh8/Xt9NrFe6ag6RkZEEBASwfv16AgICOHDgAO+99x4rVqygc+fOaDQatczbuXPn+OWXX9i7dy9eXl7MmzdPJreJRkOjKIpS340oLTY2ln79+hETE4O3t3d9N6dOpKWlcfjwYZ544glyc3PZvn07Pj4+NXqOCRMmEBoayowZM/jyyy9r9NhCCH3Xrl2jZcuWXL16FTs7u/puThnNpZ/Ny8tjzpw5XL9+vcy24cOHM2bMmHpoVcOSmpqqrszp4uJSZmXODz74gMjISIqKitBoNEDJ65qRkcEdd9zBhAkTeOmll+qr+aKZqkofKyutNQCurq64urqqpds+/fTTGg14L1++rK6tLukMQojm5MEHHzR46b1ly5bk5eU160Uq4PYrc+bm5tKpUyd++uknnJycaN26NRYWFri4uHDz5k1WrVrF0aNHmT17Nl5eXqSkpEiur2iQqpXSIGrWv/71LzQaDb/88gunTp2qseOuXbuW/Px8vL296du3b40dVwghGrLIyMhy80xDQ0PZsmVLHbeo8XFxceHixYsUFRWRmprK0aNH+eeff7h+/ToajQYTExP1CuXAgQMZN24c4eHhkusrGhwJeBsQDw8PdTGIzz77rEaOqSgKy5cvB2R0VwjRvIwaNYoJEyYY3Na1a1dGjBhRxy1qfHx9fcnJyWHixImYmppSXFzMtWvXuOuuu9BqtfTp0weNRoOpqSmFhYUoisKFCxfYtWsX+/fvx9PTU3J9RYMgAW8D8/LLLwMlM4uvXLlS7eP9+eefnDx5EisrqyZd01gIIW5lYWFBZmamwW2nTp3iyy+/LHe7KKGb3BYXF8egQYN44oknuO+++4iLi+Odd95hxYoV7N+/n4EDB6LRaFAUBWtrazp27Ej37t2Jjo6muLiYRYsWUVRUpHfslJQUli5dyltvvcXSpUsNLlwlRE2RgLeBGTx4MH379iU3N5eQkJBqH083uvvEE0/QsmXLah9PCCEaEy8vL4YPH86QIUPU+3r37o2ZmRkJCQnMmzevTpZ1b8x0SxWPGzcODw8P/Pz8CA8PZ9SoUQCYmppiZ2eHu7s7R48eJTU1lezsbDQaDTY2NiiKwv79++nbty+PPvooy5cvJzw8HH9/fzZs2CDpD6JOSJWGBmjNmjU8/fTTODs7k5ycXOUlgK9du4azszM5OTns27eP++67r4ZbKoQwRKo0NDx5eXls3LiRxx57DDs7Oy5cuMDy5ctJTU1Fo9EwYsQIRo0aRX5+PpGRkYwaNarZT2irjKVLl7Jhwwb27t2rjuSamZnh4OCAq6sriqKoVR4A9XZCQgLXrl1Dq9UyceJE4uLiCA8P16sUIRPhxK2q0sfKCG8DNH78eJydnTl37hw//vhjlY+zbt06cnJy6Nq1K/fee28NtlAIIRoXCwsLJk2apH45Ojk5ERQUxODBg1EUha1bt/L222+za9cuqddbBbfm+kJJUOvj44OJiQmrVq1i/PjxODg46AW/nTt3pk+fPnh4eLBz5060Wi3r1q1TjxsRESEjwaJGyAhvA/Xhhx8yZ84cvL29iY6O1vtlbKwBAwYQHR3Nxx9/zCuvvFILrRRCGCIjvI3LgQMH1KXXbyX1eo0XGRnJvHnzsLKyom3btly4cIHc3FzmzJmjpj8ABAUFERsbS1xcHC1btixzFVMXEHfo0IG0tDQ6d+5MWFgYRUVFmJiYyEiwkBHepiQwMBALCwtiY2PZu3dvpR9/+PBhoqOjMTMz46mnnqqFFgohRNPQq1cvdSniW9na2spyxEa6Xa6vTocOHSgsLOTs2bMcO3aM48ePc+bMGTIyMvRGf1NTU1EUhdOnT+Pu7o6Liws2NjZs2LABS0tLNm/erB5TRoLF7cjCEw2Uo6MjTz/9NMuWLePTTz9l8ODBlXr8kiVLABg2bBht2rSphRYKIUTTEBkZSVRUlMFtYWFhHDt2jBdeeEFvJDIvL09yfQ243UIWUJL+sGbNGiZOnMj69eu5efMmRUVFDB8+nLi4ON566y327t3L77//Tn5+PlqtFjs7O72RvGvXrrF69Wr27t1Lly5d+PXXX+nSpQvr1q3TGwmeN28effr0kZFgISkNDdmpU6fo1q0bGo2G+Ph4PDw8jHrcF198oXY4Wq2WZcuWMW3atNpsqhCiFElpaFzy8vLYv38/69evL3cfW1tbHnroIZycnEhJScHe3p7Q0FAmTJhAZmYmXl5e9OjRow5b3bgZk/6wdOlSwsPDOXjwIFZWVlhbW2NlZYWlpaXBNL/8/HxycnLIyckhLy+P/Px8+vXrh7+/v/qdGBERwYcffqie9+LFi+Tk5JRJuwAJjBuyqvSxEvA2cCNGjODXX3/lpZdeMmoxisjISHXxCh0TExOSk5NxdXWtrWYKIUqRgLfx2bhxI9u2bStzf9euXbl48aJaF93ExERyfWtIamoqmzdvVgPK0aNHlxmJ9ff3x8vLi/Xr11NYWIipqSl+fn4kJCTQu3dvNRUCMBgEK4qCoihYWVnRunVr0tPTadOmDVFRURQUFJSbE1yZwFjUPQl4m6Dt27czbNgwbGxsSEtLK7eWbkFBAR9++CEffPABxcXFZbbv3r2bBx98sJZbK4QACXgbo+PHjxMfH09+fj67du0CSlLCvLy86Nq1KzExMfzyyy+kp6cbfPz48eO59957y6Q3SOpD9Rg7EhwWFsbhw4exsLDA0tISCwsLLCws1IoRhuTn53Pz5k3y8/Np06YNHTt2ZNSoUTg7OzNnzhy8vLzKpEgYmiwHxo8Gy6hxzZCAtwlSFIWePXty4sQJFi9ezKuvvlpmn9OnT/PUU09x8OBBg8eQEV4h6pYEvI3XrfV6SwsLCys31xegY8eOjBkzhs6dO3P69Gni4uIk9aEGVHUkePz48cTFxeHv78+ZM2c4dOgQeXl5FBYWYmZmVuE5FUXh5s2b6n8FBQUUFRXh4eHBvffey8svv4yLiwtardbo0WBJp6g5EvA2UStWrODZZ5/Fzc2NxMREvRqHX331Fa+99hq5ubnY29vz5ZdfkpOTQ2BgoPqrNCQkRHJ4hahDEvA2Tcbk+kLJggstW7bk8uXLZbaVl/ogI8HVY+xIsG5xDCipzdyiRQssLCxwcXFBo9FQWFiIVqs1qhRocXExiqJgYmICwIULF9TAuHfv3ly9epX333+fe+65hxs3bqhB+e1GjWsjMK5MAN0Ygm0JeJuo3Nxc3NzcuHz5Mj/++CP+/v6cO3eOZ555hl9//RWAhx9+mG+//VYdxU1LSyMhIYHOnTvLyK4QdUwC3qarvFzfXr16YW1tzalTp8jKyir38f369ePee+/Fzc0NW1tbTpw4UemRYGOD45rer6Gr6kjwhAkT9ILOTz/9lI0bN3Ls2DFMTU0xNzfHzMwMMzMz7OzsUBQFrbZyVV11oVZOTo4aFBcWFlJUVESHDh1wc3Nj4MCBmJmZsXbtWjp06EBERASFhYXVDowrE0DXZ7Bdmf1CQ0OZPXu2BLxN0bvvvssHH3yAt7c3vr6+LFmyhKysLCwsLAgODmbmzJmV/gMUQtQOCXibropyfXv06IGiKHz77bf8+eeftz2WtbU1ZmZmBgPkRx55hHHjxpU5tzHBcU3vp1MbAXRdB++6kWBra2s6dOhASkpKmYCudGAcHh5Onz59OHz4MH5+fmrQaW1tzcmTJ/niiy9IT0/n9OnTWFhY0KVLF86cOYNWq8XCwgKNRlNmtFir1eLi4kJ6errBOTel93N2dibl/7V3rjFN3WEYfw6wFo2UO5VRyrUQAYVR2AAv3TSObR/QYJaoMUrigokzm9/MPuybIVvMFnWZH/yCbLjFqDjjLXNbFhdnYhABHd4KXqhaBaTcuqJA330wdEAvtOecQqHvL2li2/c85/8/D+fx9fjnnM5OjI6OQqFQQBAEKJVKhIWFwWq1IjQ0FE+fPkVWVhZu3bqF7OxsWK1WbNiwARqNBmNjY/j++++RnJyMCxcuID8/H83Nzfj444+dGuiJ8z5+/Djeeustt7XjjfH4cTSZTLBarW6bbbnrlEolRkZG8Ouvv3qdsXwf3jnCzp07UVNTg+vXr+P69esAAK1WiwsXLiAnJ2eWR8cwjL8wGo3Ytm0benp6EBkZiSNHjiA3N1d0HSONvLw85OXlYXh4GGNjY05rfQVBwKZNm5Camupy6UNiYiJevXqF3t5eWK1Wt/u5ePEirly54rj/rEqlwvPnz/Ho0SNHzbi+1WpFUlISwsPDoVQqce/evUlXocfrBEGY1Mh6WzexMf79998RFxc3bQPtqc4fmt7WpaWlYefOnXjw4AHMZjMMBgPS0tKQlpbmqNFqtaiursaZM2fwwQcfICEhAWq1GoODg6iurnY0fStWrEBLSwsuXLiA1NRUDA0NITU1FU+ePEFERASio6Px4YcforKyEgcPHkRLSwuGh4cxPDwMtVqN7u5uLFy4EGNjYxgcHAQRwW63IzIyEhERERgZGcHixYvx6tUrKBQKDA4OYmBgwLGuWKVSISIiAjExMdBqtVAoFFAoFAgJCcGJEycc81GpVBgdHYXBYIBWq0VkZCT6+vqwcOFCrFu3zuG5IAhQqVTo7u5GSUkJsrOz8cYbb+DZs2dYtGgRtm3bBrVaDbvdju7ubiQlJeHp06cIDw+H1WqFVqvF/v370draivj4eNhsNpw5cwbp6em4e/cudDodLBYLcnNzsX//fkRGRiI1NRU9PT04cOAAcnJy0NTUBJ1Oh+7ubhQXF+PAgQOO+yh3dnbi4MGDyM3NRWNjI8rKytyeP67gK7xzhMePH0Or1WKiXfzLaAwTmMh5hXf16tXYunUrqqqqcOLECXz99dcuf0HV2zqAc3YmcLf0oby8HJWVlXj16hXq6+tx9epV2fcdEhLi8sphQkICYmJioFQqIQgC+vr68PDhQ6e6nJwcaLVaKJVKhISEOJZdTCU3Nxd6vd7RLDU1NeHmzZtOdQUFBXjnnXcc7wVBwNWrV9Hc3OxUW1hYOKmRuXLliuMiz0TGl4aMXz39+++/0dTU5FRXVFSE5cuXO95fvnxZ1rquri4cOnQI0dHRTrUWiwWffvop4uPjva47ffo0bty44TI3LBYLFAoF4uLicP/+fSxYsABRUVFOdb29vejp6YHdbocgCIiPj0dMTIzbuonExcV5VTuTdd3d3Y4n8E2dy759+3hJw3zjzz//xOrVq11+zrcbY5jAQq6Gt6urC5mZmejt7UVYWBiICImJibh8+TIyMzN9rhuHc9b/TLf0AfD8S3Dr169HdnY2hoeHMTAwgMuXL8NoNM7oHBgm0PGl4eUlDXMEnU7n9K/20NBQl3+ZMQwzPzCZTEhMTHTcmUUQBGi1WnR2dk46972tm8ru3bsRFRWFTZs2YdOmTf6dTJAx3dIH4PVdAiwWi8vtbTYb0tPTHe8LCgrcNscbN25ESUkJwsLCMDAwgCtXruDs2bNOdaWlpUhLS4MgCLDZbOjo6EBra6tTXWZmJtRqNQRBQEdHB8xms9t5xsXFYfHixTCbzY6Hc7giKioKsbGxAICenh709/e7rVWpVIiOjkZvby8GBwfd1kVERCAqKgoWiwVDQ0OS6xYtWoSoqCj09fV5VQfA61q56168eAGbzea2buHChYiJifG6DoDXtWaz2eXDV8YJDQ1FYmKiV3VqtRrPnj3zuJYZeP0zMTAw4LFmOrjhnSNoNBocPnzY6XZjvJyBYRix7N+/n6/w+pnw8HBs3rzZ7fdZWVkQBMHlleCpOu6aY4vFggULFgAAYmNjMTIy4rJOpVLBYDA43jc0NLhseDMyMlBZWQnA81XojRs3orS0FOHh4V7X+UNztupmey6HDx9GW1ubU11ubi6qq6t9qhufize17e3t+Pzzz132H48fP8bBgweRkZExo3XewA3vHGL79u0oLy/n240xTJCQnJwMs9nsuH0SEaGzs9PpVj3e1jGBhzdXgsfxtjmWs266Rnu8WfK2zh+as1U322PUaDQum1ONRuNznS+1mZmZMBgM6OjocKozGAzIyMiY8Tpv4IZ3jqHRaLjRZZggISEhAYWFhaivr0dVVRVOnjwJjUbjtEzB2zomcJnuSjDgfXMsd53cjbY/NGerbi6M0R9z+eijj9DU1IS7d+86lrKUlZVBr9fPSF1bW5vHZTEuoQCjqamJAFBTU9NsD4VhGEYU/f39BID6+/sla925c4dKSkpIp9ORXq+nGzduOL7bvn07nT59etq6qXDOMmKw2Wx09OjRaX+uva3zh+Zs1c2FMc6nuXR1ddHy5ct9yli+SwPDMIzM8IMnGIZh/IeYjOVHczEMwzAMwzDzGm54GYZhGIZhmHkNN7wMwzAMwzDMvIYbXoZhGIZhGGZeww0vwzAMwzAMM6/hhpdhGIZhGIaZ13DDyzAMwzAMw8xrJDW8RqMRZWVlyMrKQnFxscvH0QHA+fPnUVhYiIKCAuTl5aGurk7KbhmGYRiGYRjGayQ1vDt27EB1dTXu3buHPXv2oKqqyqmGiLBlyxYcOXIELS0tOHv2LHbs2IHBwUEpu2YYhmEYhmEYrxDd8HZ1deHatWvYsmULAGDDhg0wmUxob293qhUEAX19fQBePx0jNjYWSqVS7K5F8fPPPweVnj80g3GMPOfA1JwLYww2gtHjQNfzh2YwjjEY5+wPzdnOWNENr8lkQmJiIsLCwgC8bmq1Wi06Ozsn1QmCgGPHjqGyshIpKSlYsWIF6urqoFAoPOrv3r0bFRUVsh2gQDcuWH9YA32MPOfA1JwLYww2gtHjQNfzh2YwjjEY5+wPzdnO2DB3X5SWlsJoNLr8rrm52esdjI6OYu/evWhoaMCqVavQ2NiIiooK3Lx5E3FxcU71NpsNwOvlEkuWLAHw+rnvUunr65NFZ67o+UMzGMfIcw5MzUAf49DQEADg33//9fo57zPJeM7evn1bNs1g83gu6PlDMxjHGIxz9ofmrGcsieT58+cUERFBIyMjRERkt9tJrVaT0WicVNfY2Eg6nW7SZ0VFRXTx4kWXuvX19QSAX/ziF7/m/OvSpUtiI9avcM7yi1/8mg8vXzLW7RXe6UhISEBhYSHq6+tRVVWFkydPQqPRIDMzc1JdcnIyzGYzbt++jSVLlqC9vR0dHR3Izs52qVteXo76+nqkpqZiwYIFYofHMAwzaxARrFYr9Hr9bA/FJZyzDMPMZcRkrEBEJHaHd+/eRVVVFV68eAGVSoXa2losXboUAPDJJ5+goqLCsQ63pqYGISEhsNvt+OKLL7B582axu2UYhmEYhmEYr5HU8DIMwzAMwzBMoMNPWmMYhmEYhmHmNdzwMgzDMAzDMPMabngZhmEYhmGYeU1ANbxGoxFlZWXIyspCcXEx2traJOkNDw9j/fr1yMrKQn5+PtauXevySXBiqK2thSAI+OWXXyTpvHz5Ert27YJOp8PSpUsdT66Twvnz51FYWIiCggLk5eWhrq7Op+0/++wzpKamQhAEtLS0TPpOrEfuNMV65GmM4/jqkSdNMT550vPVo+mOkxhfPGmK8cXbbXzxZTpNX32ZTk/MufP+++9j2bJlKCgowMqVKyfdp1zuTJNKMGYsIH/OSs1YQP6c5YydrCfGI7lzljNWnowFZMpZv9zkUSTvvfce1dbWEhHR8ePHqaioSJKezWajc+fOkd1uJyKi7777jgwGg8RREj148IBKS0uppKSETp06JUlr9+7dtGvXLscYzWazJD273U7R0dHU2trqGKtSqaSBgQGvNS5dukQmk4lSUlKoubl50ndiPXKnKdYjT2MkEueRJ00xPrnTE+PRdMdJjC+eNMX44s02vvoynaavvnjSE3vuWCwWx58bGhpo2bJljvdyZ5pUgjFjieTNWTkylkj+nOWM/V9PrEdy5yxnrDwZSyRPzgZMw+vtgyyk0NjYSCkpKZI0xsbGaM2aNXTt2jUyGAySwnhoaIgiIiKov79f0pgmYrfbKSYmxnEz5tbWVnrzzTfp5cuXPmtNDRE5PHIXnuP46pErPakeTdWU6pOrMJbq0cTjJNe54+nYizl3pm4jx7kzUVOO82einhy+1NbWUn5+PhHNTKb5QjBmLJH8OStnxhLJn7OcsfJ5JHfOcsbK44vYnA2YJQ0mkwmJiYkIC3v9LAxBEKDVatHZ2SnbPg4cOIB169ZJ0vj222+xfPlyWW4o39HRgZiYGNTU1KCoqAgrV67EH3/8IUlTEAQcO3YMlZWVSElJwYoVK1BXVweFQiF5vMHoESC/T3J4NPE4yeWLp2Mvxpep28jhy0RNOXyZqCfFl61btyI5ORlffvklfvzxRwAzc774Ap+/gXP+esLfPrFH3iN3znLGSvNFas6KftLaXKOmpgbt7e2STqJ//vkHJ0+exF9//SXLmEZHR/Ho0SPk5OTgq6++QnNzM9auXYu2tjao1WrRmnv37kVDQwNWrVqFxsZGVFRU4ObNm4iLi5Nl3P4iED0C5PdJqkdyHCdfNMXsb+o2cvgyVVOqL670xPryww8/AADq6uqwZ88enD9/XvQ85yp8/nLGiiUQPZI7ZzljpfsiOWdFX6eWGX/+d9u+fftIr9dPWgMihkOHDtHixYspJSWFUlJSSKlUUnx8PB06dEiUXnd3N4WEhNDo6Kjjs6KiIvrtt99Ej7GxsZF0Ot2kz4qKiujixYs+a83kkgaxHk3Vk8OjqZpSfZqqJ8UjV8dJqi+ejr0YX1xtI9UXV5pSfHGlJ9e5Ex4eTj09PUG1pCFQM5ZI/pyVM2OJZm5JA2es9x7JnbOcsa+R89wRk7MB0/ASERkMhkkLj/V6vWTNb775hgoLC6m3t1ey1lTkWF+2du1aOnfuHBER3b9/n2JjY+nx48ei9Z49e0aLFi2iW7duERGR0Wik6OhoevTokc9aroJTqkeuNKV4NN16NTnWlxFJ82mqnliPPB0nsb540hTji7fb+OKLJ00xvrjTE+OLxWKhJ0+eON6fOnWKkpKSHL+w4Y9Mk0IwZiyRvDkrZ8YSyZ+znLHSPJI7Zzlj/0esL3LlbEA1vHfu3KGSkhLS6XSk1+vpxo0bkvRMJhMBoPT0dMrPz6f8/Hx6++23ZRqtPGHc0dFB7777LuXl5dGyZcvoxIkTksf1008/OfTy8vLo6NGjPm1fXV1NSUlJFBoaSgkJCZSRkeH4TqxH7jTFeuRpjBPxxSNPmmJ88qTnq0fTHScxvnjSFOOLL9t468t0mr76Mp2er748fPiQiouLHdusWbNm0l+8cmeaVIIxY4nkz1mpGUskf85yxkrLWCL5c5YzVnrGEsmXswIRkW+LIBiGYRiGYRhm7hAwd2lgGIZhGIZhGH/ADS/DMAzDMAwzr+GGl2EYhmEYhpnXcMPLMAzDMAzDzGu44WUYhmEYhmHmNf8BB/ZwbKLiogYAAAAASUVORK5CYII=\" />"
      ],
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"216pt\" version=\"1.1\" viewBox=\"0 0 504 216\" width=\"504pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-09-27T00:18:20.615392</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 216 \n",
       "L 504 216 \n",
       "L 504 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 26.786003 201.025354 \n",
       "L 246.980503 201.025354 \n",
       "L 246.980503 15.250056 \n",
       "L 26.786003 15.250056 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path clip-path=\"url(#p77deb354f5)\" d=\"M 34.12582 62.455255 \n",
       "L 41.465636 24.386546 \n",
       "L 48.805453 35.807159 \n",
       "L 56.14527 79.586174 \n",
       "L 63.485086 131.169274 \n",
       "L 70.824903 170.284872 \n",
       "L 78.16472 186.911381 \n",
       "L 85.504536 181.805415 \n",
       "L 92.844353 163.094169 \n",
       "L 100.18417 141.28532 \n",
       "L 107.523986 124.90157 \n",
       "L 114.863803 118.082787 \n",
       "L 122.20362 120.4191 \n",
       "L 129.543437 128.422101 \n",
       "L 136.883253 137.642042 \n",
       "L 144.22307 144.502883 \n",
       "L 151.562887 147.296499 \n",
       "L 158.902703 146.23416 \n",
       "L 166.24252 142.81248 \n",
       "L 173.582337 138.915428 \n",
       "L 180.922153 136.043128 \n",
       "L 188.26197 134.899856 \n",
       "L 195.601787 135.380313 \n",
       "L 202.941603 136.842714 \n",
       "L 210.28142 138.489576 \n",
       "L 217.621237 139.691755 \n",
       "L 224.961053 140.159087 \n",
       "L 232.30087 139.94281 \n",
       "L 239.640687 139.318014 \n",
       "L 246.980503 138.622202 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 1.5 \n",
       "C 0.397805 1.5 0.77937 1.341951 1.06066 1.06066 \n",
       "C 1.341951 0.77937 1.5 0.397805 1.5 0 \n",
       "C 1.5 -0.397805 1.341951 -0.77937 1.06066 -1.06066 \n",
       "C 0.77937 -1.341951 0.397805 -1.5 0 -1.5 \n",
       "C -0.397805 -1.5 -0.77937 -1.341951 -1.06066 -1.06066 \n",
       "C -1.341951 -0.77937 -1.5 -0.397805 -1.5 0 \n",
       "C -1.5 0.397805 -1.341951 0.77937 -1.06066 1.06066 \n",
       "C -0.77937 1.341951 -0.397805 1.5 0 1.5 \n",
       "z\n",
       "\" id=\"m54f749d024\" style=\"stroke:#000000;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p77deb354f5)\">\n",
       "     <use style=\"stroke:#000000;\" x=\"34.12582\" xlink:href=\"#m54f749d024\" y=\"62.455255\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"41.465636\" xlink:href=\"#m54f749d024\" y=\"24.386546\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"48.805453\" xlink:href=\"#m54f749d024\" y=\"35.807159\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"56.14527\" xlink:href=\"#m54f749d024\" y=\"79.586174\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"63.485086\" xlink:href=\"#m54f749d024\" y=\"131.169274\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"70.824903\" xlink:href=\"#m54f749d024\" y=\"170.284872\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"78.16472\" xlink:href=\"#m54f749d024\" y=\"186.911381\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"85.504536\" xlink:href=\"#m54f749d024\" y=\"181.805415\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"92.844353\" xlink:href=\"#m54f749d024\" y=\"163.094169\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"100.18417\" xlink:href=\"#m54f749d024\" y=\"141.28532\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"107.523986\" xlink:href=\"#m54f749d024\" y=\"124.90157\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"114.863803\" xlink:href=\"#m54f749d024\" y=\"118.082787\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"122.20362\" xlink:href=\"#m54f749d024\" y=\"120.4191\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"129.543437\" xlink:href=\"#m54f749d024\" y=\"128.422101\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"136.883253\" xlink:href=\"#m54f749d024\" y=\"137.642042\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"144.22307\" xlink:href=\"#m54f749d024\" y=\"144.502883\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"151.562887\" xlink:href=\"#m54f749d024\" y=\"147.296499\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"158.902703\" xlink:href=\"#m54f749d024\" y=\"146.23416\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"166.24252\" xlink:href=\"#m54f749d024\" y=\"142.81248\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"173.582337\" xlink:href=\"#m54f749d024\" y=\"138.915428\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"180.922153\" xlink:href=\"#m54f749d024\" y=\"136.043128\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"188.26197\" xlink:href=\"#m54f749d024\" y=\"134.899856\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"195.601787\" xlink:href=\"#m54f749d024\" y=\"135.380313\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"202.941603\" xlink:href=\"#m54f749d024\" y=\"136.842714\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"210.28142\" xlink:href=\"#m54f749d024\" y=\"138.489576\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"217.621237\" xlink:href=\"#m54f749d024\" y=\"139.691755\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"224.961053\" xlink:href=\"#m54f749d024\" y=\"140.159087\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"232.30087\" xlink:href=\"#m54f749d024\" y=\"139.94281\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"239.640687\" xlink:href=\"#m54f749d024\" y=\"139.318014\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"246.980503\" xlink:href=\"#m54f749d024\" y=\"138.622202\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -2.5 \n",
       "\" id=\"mcdcd11334e\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(24.226003 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"41.465636\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(38.905636 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"56.14527\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathregular{4}$ -->\n",
       "      <g transform=\"translate(53.58527 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"70.824903\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(68.264903 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"85.504536\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathregular{8}$ -->\n",
       "      <g transform=\"translate(82.944536 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"100.18417\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathregular{10}$ -->\n",
       "      <g transform=\"translate(95.06417 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"114.863803\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(109.743803 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"129.543437\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathregular{14}$ -->\n",
       "      <g transform=\"translate(124.423437 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"144.22307\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathregular{16}$ -->\n",
       "      <g transform=\"translate(139.10307 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"158.902703\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathregular{18}$ -->\n",
       "      <g transform=\"translate(153.782703 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"173.582337\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathregular{20}$ -->\n",
       "      <g transform=\"translate(168.462337 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"188.26197\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathregular{22}$ -->\n",
       "      <g transform=\"translate(183.14197 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"202.941603\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathregular{24}$ -->\n",
       "      <g transform=\"translate(197.821603 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"217.621237\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathregular{26}$ -->\n",
       "      <g transform=\"translate(212.501237 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"232.30087\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathregular{28}$ -->\n",
       "      <g transform=\"translate(227.18087 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"246.980503\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- $\\mathregular{30}$ -->\n",
       "      <g transform=\"translate(241.860503 210.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 2.5 0 \n",
       "\" id=\"m465c44d28e\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"199.502606\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- $\\mathregular{-0.8}$ -->\n",
       "      <g transform=\"translate(4.006003 202.541981)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(147.412109 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(176.574219 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"169.047639\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- $\\mathregular{-0.4}$ -->\n",
       "      <g transform=\"translate(3.846003 172.087014)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(147.412109 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(179.199219 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"138.592672\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(10.486003 141.632047)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"108.137705\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- $\\mathregular{0.4}$ -->\n",
       "      <g transform=\"translate(10.486003 111.17708)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"77.682738\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- $\\mathregular{0.8}$ -->\n",
       "      <g transform=\"translate(10.726003 80.722113)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(92.785156 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"47.227772\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- $\\mathregular{1.2}$ -->\n",
       "      <g transform=\"translate(10.966003 50.267147)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(89.910156 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"26.786003\" xlink:href=\"#m465c44d28e\" y=\"16.772805\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- $\\mathregular{1.6}$ -->\n",
       "      <g transform=\"translate(10.486003 19.81218)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path clip-path=\"url(#p77deb354f5)\" d=\"M 34.12582 123.204916 \n",
       "L 41.465636 108.845147 \n",
       "L 48.805453 105.435093 \n",
       "L 56.14527 115.444512 \n",
       "L 63.485086 133.853243 \n",
       "L 70.824903 152.056136 \n",
       "L 78.16472 162.658818 \n",
       "L 85.504536 162.648366 \n",
       "L 92.844353 153.888151 \n",
       "L 100.18417 141.373322 \n",
       "L 107.523986 130.54747 \n",
       "L 114.863803 125.041698 \n",
       "L 122.20362 125.666103 \n",
       "L 129.543437 130.753365 \n",
       "L 136.883253 137.38171 \n",
       "L 144.22307 142.777519 \n",
       "L 151.562887 145.310277 \n",
       "L 158.902703 144.805055 \n",
       "L 166.24252 142.232164 \n",
       "L 173.582337 139.054193 \n",
       "L 180.922153 136.564473 \n",
       "L 188.26197 135.463878 \n",
       "L 195.601787 135.767249 \n",
       "L 202.941603 136.984053 \n",
       "L 210.28142 138.432403 \n",
       "L 217.621237 139.535746 \n",
       "L 224.961053 139.999719 \n",
       "L 232.30087 139.838711 \n",
       "L 239.640687 139.284576 \n",
       "L 246.980503 138.64328 \n",
       "\" style=\"fill:none;stroke:#333333;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_2\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "C 0.663008 2.5 1.29895 2.236584 1.767767 1.767767 \n",
       "C 2.236584 1.29895 2.5 0.663008 2.5 0 \n",
       "C 2.5 -0.663008 2.236584 -1.29895 1.767767 -1.767767 \n",
       "C 1.29895 -2.236584 0.663008 -2.5 0 -2.5 \n",
       "C -0.663008 -2.5 -1.29895 -2.236584 -1.767767 -1.767767 \n",
       "C -2.236584 -1.29895 -2.5 -0.663008 -2.5 0 \n",
       "C -2.5 0.663008 -2.236584 1.29895 -1.767767 1.767767 \n",
       "C -1.29895 2.236584 -0.663008 2.5 0 2.5 \n",
       "z\n",
       "\" id=\"m924bb13575\" style=\"stroke:#333333;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p77deb354f5)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"34.12582\" xlink:href=\"#m924bb13575\" y=\"123.204916\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"41.465636\" xlink:href=\"#m924bb13575\" y=\"108.845147\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"48.805453\" xlink:href=\"#m924bb13575\" y=\"105.435093\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"56.14527\" xlink:href=\"#m924bb13575\" y=\"115.444512\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"63.485086\" xlink:href=\"#m924bb13575\" y=\"133.853243\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"70.824903\" xlink:href=\"#m924bb13575\" y=\"152.056136\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"78.16472\" xlink:href=\"#m924bb13575\" y=\"162.658818\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"85.504536\" xlink:href=\"#m924bb13575\" y=\"162.648366\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"92.844353\" xlink:href=\"#m924bb13575\" y=\"153.888151\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"100.18417\" xlink:href=\"#m924bb13575\" y=\"141.373322\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"107.523986\" xlink:href=\"#m924bb13575\" y=\"130.54747\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"114.863803\" xlink:href=\"#m924bb13575\" y=\"125.041698\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"122.20362\" xlink:href=\"#m924bb13575\" y=\"125.666103\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"129.543437\" xlink:href=\"#m924bb13575\" y=\"130.753365\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"136.883253\" xlink:href=\"#m924bb13575\" y=\"137.38171\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"144.22307\" xlink:href=\"#m924bb13575\" y=\"142.777519\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"151.562887\" xlink:href=\"#m924bb13575\" y=\"145.310277\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"158.902703\" xlink:href=\"#m924bb13575\" y=\"144.805055\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"166.24252\" xlink:href=\"#m924bb13575\" y=\"142.232164\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"173.582337\" xlink:href=\"#m924bb13575\" y=\"139.054193\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"180.922153\" xlink:href=\"#m924bb13575\" y=\"136.564473\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"188.26197\" xlink:href=\"#m924bb13575\" y=\"135.463878\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"195.601787\" xlink:href=\"#m924bb13575\" y=\"135.767249\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"202.941603\" xlink:href=\"#m924bb13575\" y=\"136.984053\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"210.28142\" xlink:href=\"#m924bb13575\" y=\"138.432403\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"217.621237\" xlink:href=\"#m924bb13575\" y=\"139.535746\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"224.961053\" xlink:href=\"#m924bb13575\" y=\"139.999719\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"232.30087\" xlink:href=\"#m924bb13575\" y=\"139.838711\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"239.640687\" xlink:href=\"#m924bb13575\" y=\"139.284576\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"246.980503\" xlink:href=\"#m924bb13575\" y=\"138.64328\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 26.786003 201.025354 \n",
       "L 26.786003 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 246.980503 201.025354 \n",
       "L 246.980503 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 26.786003 201.025354 \n",
       "L 246.980503 201.025354 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 26.786003 15.250056 \n",
       "L 246.980503 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path clip-path=\"url(#p77deb354f5)\" d=\"M 34.12582 78.903566 \n",
       "L 41.465636 84.388417 \n",
       "L 48.805453 106.79068 \n",
       "L 56.14527 131.641913 \n",
       "L 63.485086 149.078775 \n",
       "L 70.824903 155.794921 \n",
       "L 78.16472 153.650123 \n",
       "L 85.504536 146.947386 \n",
       "L 92.844353 139.912951 \n",
       "L 100.18417 135.20775 \n",
       "L 107.523986 133.594789 \n",
       "L 114.863803 134.42136 \n",
       "L 122.20362 136.417961 \n",
       "L 129.543437 138.400499 \n",
       "L 136.883253 139.661902 \n",
       "L 144.22307 140.036161 \n",
       "L 151.562887 139.742343 \n",
       "L 158.902703 139.152358 \n",
       "L 166.24252 138.596339 \n",
       "L 173.582337 138.260625 \n",
       "L 180.922153 138.178086 \n",
       "L 188.26197 138.27748 \n",
       "L 195.601787 138.450561 \n",
       "L 202.941603 138.60574 \n",
       "L 210.28142 138.694369 \n",
       "L 217.621237 138.711113 \n",
       "L 224.961053 138.678607 \n",
       "L 232.30087 138.628166 \n",
       "L 239.640687 138.585071 \n",
       "L 246.980503 138.561885 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_24\">\n",
       "    <!-- AR(3) example, optimal signal with i.i.d. noise -->\n",
       "    <g transform=\"translate(44.750381 9.250056)scale(0.09 -0.09)\">\n",
       "     <defs>\n",
       "      <path d=\"M 40.796875 70.5 \n",
       "L 37.59375 70.5 \n",
       "C 35.796875 66.171875 34.296875 62.46875 33.703125 60.96875 \n",
       "L 28.40625 48.8125 \n",
       "L 10.59375 8.15625 \n",
       "C 9.40625 5.234375 7.40625 3.421875 5.203125 3.21875 \n",
       "L 1.5 2.921875 \n",
       "L 1.5 0 \n",
       "C 10.796875 0 10.796875 0 12.40625 0 \n",
       "C 13.703125 0 13.703125 0 24.5 0 \n",
       "L 24.5 2.921875 \n",
       "L 20.796875 3.21875 \n",
       "C 17.296875 3.53125 16 4.21875 16 5.796875 \n",
       "C 16 7.09375 17.40625 11.359375 19.5 16.34375 \n",
       "L 22.296875 23 \n",
       "L 51.09375 23 \n",
       "L 55.703125 11.453125 \n",
       "C 57.40625 7.234375 57.796875 5.921875 57.796875 5.03125 \n",
       "C 57.796875 3.921875 56.203125 3.21875 53.703125 3.015625 \n",
       "L 49 3.015625 \n",
       "L 49 0 \n",
       "C 61.296875 0 61.296875 0 62.90625 0 \n",
       "C 64.796875 0 64.796875 0 75.59375 0 \n",
       "L 75.59375 2.921875 \n",
       "L 72.203125 3.21875 \n",
       "C 69.59375 3.625 68.5 5.328125 65 13.453125 \n",
       "z\n",
       "M 24 27 \n",
       "L 36.703125 57.078125 \n",
       "L 49.296875 27 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-65\"/>\n",
       "      <path d=\"M 21.59375 64.796875 \n",
       "C 25 65.59375 28 66 31.40625 66 \n",
       "C 41.796875 66 47.59375 61.171875 47.59375 52.609375 \n",
       "C 47.59375 43.359375 40.296875 37.515625 28.703125 37.515625 \n",
       "C 28 37.515625 27.09375 37.515625 25.796875 37.609375 \n",
       "L 25.203125 36.40625 \n",
       "C 26.296875 35.09375 26.59375 34.703125 27.796875 33.390625 \n",
       "C 29.203125 31.796875 29.5 31.390625 30.40625 30.1875 \n",
       "L 48.796875 5.40625 \n",
       "C 49.40625 4.609375 50 3.796875 50.59375 3.109375 \n",
       "C 51.296875 2.203125 51.90625 1.296875 52.90625 0 \n",
       "C 57.59375 0 58.59375 0 59.703125 0 \n",
       "C 60.59375 0 60.59375 0 66.90625 0 \n",
       "L 66.90625 2.90625 \n",
       "C 63.703125 3.203125 62.09375 3.8125 60.796875 5.53125 \n",
       "L 38.09375 35.296875 \n",
       "C 43.703125 36.703125 46.296875 37.796875 49.59375 40.09375 \n",
       "C 54.796875 43.796875 57.59375 48.796875 57.59375 54.609375 \n",
       "C 57.59375 64.203125 50.59375 69.609375 38.203125 69.609375 \n",
       "L 36.59375 69.609375 \n",
       "C 23.59375 69.609375 23.59375 69.609375 20.203125 69.609375 \n",
       "C 16.90625 69.609375 16.90625 69.609375 2.90625 69.609375 \n",
       "L 2.90625 66.796875 \n",
       "L 7 66.296875 \n",
       "C 11.59375 66.296875 12.09375 65.375 12.09375 57.484375 \n",
       "L 12.09375 12.015625 \n",
       "C 12.09375 4.015625 11.59375 3.203125 7 3.203125 \n",
       "L 2.203125 3.203125 \n",
       "L 2.203125 0 \n",
       "C 8.09375 0 11.59375 0 16.796875 0 \n",
       "C 22 0 25.59375 0 31.5 0 \n",
       "L 31.5 3.203125 \n",
       "L 26.703125 3.203125 \n",
       "C 22.09375 3.203125 21.59375 4 21.59375 12 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-82\"/>\n",
       "      <path d=\"M 30.09375 -19.4375 \n",
       "C 22.90625 -10.515625 20.296875 -5.71875 17.703125 3.3125 \n",
       "C 15.59375 10.515625 14.59375 18.140625 14.59375 26.65625 \n",
       "C 14.59375 34.96875 15.59375 42.078125 17.5 48.59375 \n",
       "C 20.09375 56.90625 22.796875 61.625 30.09375 70.140625 \n",
       "L 28.203125 72.75 \n",
       "C 17.796875 63.421875 13.703125 57.921875 9.90625 48.09375 \n",
       "C 7.296875 41.375 6 34.265625 6 26.65625 \n",
       "C 6 15.9375 8.5 5.8125 13.296875 -3.203125 \n",
       "C 16.796875 -9.921875 20 -13.828125 28.203125 -21.546875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-40\"/>\n",
       "      <path d=\"M 4.296875 49.953125 \n",
       "L 7.40625 49.953125 \n",
       "L 9.203125 55.53125 \n",
       "C 10.296875 58.90625 16.59375 62.296875 21.796875 62.296875 \n",
       "C 28.296875 62.296875 33.59375 57.015625 33.59375 50.75 \n",
       "C 33.59375 43.28125 27.703125 37 20.59375 37 \n",
       "C 19.796875 37 18.703125 37 17.40625 37.203125 \n",
       "L 15.90625 37.203125 \n",
       "L 14.703125 31.984375 \n",
       "L 15.40625 31.375 \n",
       "C 19.203125 33.09375 21.09375 33.59375 23.796875 33.59375 \n",
       "C 32.09375 33.59375 36.90625 28.265625 36.90625 19.09375 \n",
       "C 36.90625 8.84375 30.796875 2.109375 21.5 2.109375 \n",
       "C 16.90625 2.109375 12.796875 3.609375 9.796875 6.421875 \n",
       "C 7.40625 8.640625 6.09375 10.953125 4.203125 16.390625 \n",
       "L 1.5 15.390625 \n",
       "C 3.59375 9.265625 4.40625 5.640625 5 0.609375 \n",
       "C 10.296875 -1.203125 14.703125 -2 18.40625 -2 \n",
       "C 26.40625 -2 35.59375 2.515625 41.09375 9.265625 \n",
       "C 44.5 13.390625 46.203125 17.8125 46.203125 22.53125 \n",
       "C 46.203125 27.359375 44.203125 31.59375 40.59375 34.09375 \n",
       "C 38.09375 35.90625 35.796875 36.71875 30.796875 37.609375 \n",
       "C 38.796875 43.796875 41.796875 48.375 41.796875 54.25 \n",
       "C 41.796875 63.125 34.40625 69 23.296875 69 \n",
       "C 16.5 69 12 67.109375 7.203125 62.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-51\"/>\n",
       "      <path d=\"M 5.09375 -21.546875 \n",
       "C 12 -15.03125 14.90625 -11.71875 18 -6.8125 \n",
       "C 24.09375 2.90625 27.296875 14.53125 27.296875 26.546875 \n",
       "C 27.296875 34.265625 26 41.375 23.40625 48.09375 \n",
       "C 19.59375 57.8125 15.5 63.328125 5.09375 72.75 \n",
       "L 3.203125 70.140625 \n",
       "C 10.5 61.515625 13.203125 56.8125 15.703125 48.59375 \n",
       "C 17.703125 42.078125 18.703125 34.96875 18.703125 26.65625 \n",
       "C 18.703125 18.140625 17.703125 10.515625 15.59375 3.3125 \n",
       "C 13 -5.71875 10.40625 -10.515625 3.203125 -19.4375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-41\"/>\n",
       "      <path d=\"M 43.703125 6.984375 \n",
       "L 42.40625 7.984375 \n",
       "C 36 4.203125 33.703125 3.3125 29.40625 3.3125 \n",
       "C 22.90625 3.3125 17.5 6.21875 14.703125 11.109375 \n",
       "C 12.796875 14.390625 12.09375 17.203125 11.90625 23 \n",
       "L 26.5 23 \n",
       "C 33.40625 23 37.703125 23 44.59375 24.125 \n",
       "C 44.703125 25.53125 44.796875 26.453125 44.796875 27.671875 \n",
       "C 44.796875 39.375 37.40625 47 26.203125 47 \n",
       "C 22.5 47 18.203125 45.6875 14.09375 43.28125 \n",
       "C 5.90625 38.578125 2.59375 32.359375 2.59375 21.9375 \n",
       "C 2.59375 15.625 4.09375 10.21875 6.796875 6.40625 \n",
       "C 10.796875 1.109375 17.5 -2 25 -2 \n",
       "C 28.703125 -2 32.40625 -1.203125 36.5 0.578125 \n",
       "C 39.203125 1.6875 41.296875 2.984375 41.703125 3.59375 \n",
       "z\n",
       "M 35.90625 26.40625 \n",
       "C 30.703125 26.40625 28.296875 26.40625 24.703125 26.40625 \n",
       "C 20.09375 26.40625 17.5 26.40625 12.09375 26.90625 \n",
       "C 12.09375 31.671875 12.5 33.890625 13.796875 36.515625 \n",
       "C 15.90625 40.96875 20.203125 43.6875 25 43.6875 \n",
       "C 28.296875 43.6875 30.90625 42.359375 32.703125 39.59375 \n",
       "C 34.90625 36.234375 35.59375 33.265625 35.90625 26.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-101\"/>\n",
       "      <path d=\"M 28.796875 25.46875 \n",
       "L 43 42.09375 \n",
       "C 43.59375 42.796875 44.703125 43.203125 46.40625 43.203125 \n",
       "L 47.796875 43.203125 \n",
       "L 47.796875 46 \n",
       "L 39.59375 46 \n",
       "L 27.203125 28.46875 \n",
       "L 19.59375 40.09375 \n",
       "C 18.09375 42.296875 17 43.609375 13.59375 47.015625 \n",
       "L 2 45 \n",
       "L 2.5 42.3125 \n",
       "L 4.59375 42.09375 \n",
       "C 6.40625 42.09375 8.59375 40.703125 9.59375 39.296875 \n",
       "L 21.59375 21.84375 \n",
       "L 6.703125 4.203125 \n",
       "C 6 3.3125 4.703125 2.703125 3.703125 2.703125 \n",
       "L 2 2.703125 \n",
       "L 2 0 \n",
       "L 10.59375 0 \n",
       "C 11.296875 1.109375 11.5 1.5 12.703125 3.3125 \n",
       "C 14.296875 6.109375 15.90625 8.609375 16.59375 9.421875 \n",
       "L 24 19.234375 \n",
       "L 34.703125 3.25 \n",
       "L 34.796875 3.0625 \n",
       "C 35.703125 1.671875 36.5 0.6875 37.296875 0 \n",
       "C 42.5 0 42.5 0 43.40625 0 \n",
       "C 44.40625 0 44.40625 0 49.59375 0 \n",
       "L 49.59375 2.703125 \n",
       "L 47.09375 3 \n",
       "C 45.90625 3.109375 44.703125 3.90625 43.59375 5.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-120\"/>\n",
       "      <path d=\"M 32.40625 8.40625 \n",
       "L 31.90625 -0.015625 \n",
       "C 38.40625 -0.015625 38.40625 -0.015625 39.703125 -0.015625 \n",
       "C 40.203125 -0.015625 42.703125 -0.015625 47.09375 -0.015625 \n",
       "L 47.09375 3 \n",
       "L 43.203125 3 \n",
       "C 40.796875 3 40.40625 3.8125 40.40625 8.71875 \n",
       "L 40.40625 27.046875 \n",
       "C 40.40625 41.6875 36.203125 47 24.59375 47 \n",
       "C 20.296875 47 16.296875 45.890625 12.5 43.609375 \n",
       "L 7.203125 40.390625 \n",
       "L 7.203125 33.921875 \n",
       "L 9.796875 33.21875 \n",
       "L 11.09375 36.296875 \n",
       "C 13.203125 40.984375 14.203125 41.6875 18.796875 41.6875 \n",
       "C 28.203125 41.6875 32.09375 37.984375 32.40625 28.9375 \n",
       "L 22.5 27.125 \n",
       "C 8.90625 24.640625 3.203125 19.953125 3.203125 11.28125 \n",
       "C 3.203125 3.5 7.90625 -1 15.796875 -1 \n",
       "C 17.59375 -1 19.296875 -0.703125 20 -0.203125 \n",
       "z\n",
       "M 32.40625 12.59375 \n",
       "C 29.5 8.5 23.203125 4.71875 19.296875 4.71875 \n",
       "C 15.296875 4.71875 11.796875 8.40625 11.796875 12.6875 \n",
       "C 11.796875 16.375 13.796875 19.859375 16.796875 21.75 \n",
       "C 19.296875 23.25 24.796875 24.640625 32.40625 25.75 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-97\"/>\n",
       "      <path d=\"M 1.796875 40.078125 \n",
       "L 5.5 40.078125 \n",
       "C 9.5 40.078125 9.90625 39.375 9.90625 32.71875 \n",
       "L 9.90625 10.046875 \n",
       "C 9.90625 3.703125 9.59375 3 6.203125 3 \n",
       "L 1.59375 3 \n",
       "L 1.59375 -0.109375 \n",
       "C 11.203125 -0.109375 11.5 -0.109375 14.296875 -0.109375 \n",
       "C 17.09375 -0.109375 19.703125 -0.109375 26.203125 -0.109375 \n",
       "L 26.203125 2.796875 \n",
       "L 22 3.203125 \n",
       "C 18.59375 3.203125 18.296875 3.90625 18.296875 10.21875 \n",
       "L 18.296875 31.46875 \n",
       "C 18.296875 35.96875 24.90625 40.875 30.90625 40.875 \n",
       "C 36.296875 40.875 40 35.734375 40 28.09375 \n",
       "L 40 10.046875 \n",
       "C 40 3.703125 39.703125 3 36.296875 3 \n",
       "L 31.703125 3 \n",
       "L 31.703125 -0.109375 \n",
       "C 41.703125 -0.109375 41.703125 -0.109375 44.203125 -0.109375 \n",
       "C 46.703125 -0.109375 46.703125 -0.109375 56.703125 -0.109375 \n",
       "L 56.703125 3 \n",
       "L 52.09375 3 \n",
       "C 48.703125 3 48.40625 3.703125 48.40625 10.046875 \n",
       "L 48.40625 31.421875 \n",
       "C 48.40625 35.9375 55 40.875 61 40.875 \n",
       "C 66.40625 40.875 70.09375 35.796875 70.09375 28.21875 \n",
       "L 70.09375 -0.109375 \n",
       "C 76.203125 -0.109375 76.296875 -0.109375 78 -0.109375 \n",
       "C 79.296875 -0.109375 79.296875 -0.109375 86.90625 -0.109375 \n",
       "L 86.90625 3 \n",
       "L 82.203125 3 \n",
       "C 78.796875 3 78.5 3.703125 78.5 10.046875 \n",
       "L 78.5 30.78125 \n",
       "C 78.5 40.75 72.703125 47 63.5 47 \n",
       "C 60 47 57.09375 46.09375 55.296875 44.484375 \n",
       "L 47.703125 37.6875 \n",
       "C 44.5 44.28125 40.40625 47 33.5 47 \n",
       "C 29.796875 47 27 46.09375 25.203125 44.484375 \n",
       "L 18.296875 38.078125 \n",
       "L 18.296875 46.59375 \n",
       "L 17.40625 47 \n",
       "C 12.296875 44.890625 7.09375 43.484375 1.796875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-109\"/>\n",
       "      <path d=\"M 1 40.078125 \n",
       "L 4.703125 40.078125 \n",
       "C 8.703125 40.078125 9.09375 39.375 9.09375 32.734375 \n",
       "L 9.09375 -17.84375 \n",
       "C 9.09375 -24.1875 8.796875 -24.890625 5.40625 -24.890625 \n",
       "L 0.796875 -24.890625 \n",
       "L 0.796875 -28 \n",
       "C 10.796875 -28 10.796875 -28 13.296875 -28 \n",
       "C 15.796875 -28 15.796875 -28 25.796875 -28 \n",
       "L 25.796875 -24.890625 \n",
       "L 21.203125 -24.890625 \n",
       "C 17.796875 -24.890625 17.5 -24.171875 17.5 -17.78125 \n",
       "L 17.5 1.390625 \n",
       "C 20.5 -0.40625 23.703125 -1.109375 28.203125 -1.109375 \n",
       "C 31.09375 -1.109375 33.703125 -0.5 35.296875 0.5 \n",
       "L 46.703125 7.890625 \n",
       "C 50.703125 10.5 55.40625 20.78125 55.40625 27.1875 \n",
       "C 55.40625 38.296875 46.203125 47 34.59375 47 \n",
       "C 30.90625 47 27.296875 45.984375 25.703125 44.484375 \n",
       "L 17.5 36.984375 \n",
       "L 17.5 46.59375 \n",
       "L 16.59375 47 \n",
       "C 11.5 44.890625 6.296875 43.484375 1 42.890625 \n",
       "z\n",
       "M 17.5 30.6875 \n",
       "C 17.5 32.078125 18 33.1875 19.296875 34.890625 \n",
       "C 22.203125 38.578125 26.296875 40.484375 31.296875 40.484375 \n",
       "C 40.703125 40.484375 46.703125 33.890625 46.703125 23.5 \n",
       "C 46.703125 12.296875 40 4 31 4 \n",
       "C 25.5 4 21.40625 5.8125 17.5 9.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-112\"/>\n",
       "      <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.15625 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-108\"/>\n",
       "      <path d=\"M 20.40625 12.328125 \n",
       "C 17.703125 11.421875 15.90625 10.828125 10.59375 9.3125 \n",
       "C 9.90625 1.703125 7.40625 -4.8125 1.59375 -14.421875 \n",
       "L 3 -15.53125 \n",
       "L 7.09375 -13.625 \n",
       "C 15.203125 -3.109375 19 3.203125 21.796875 10.921875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-44\"/>\n",
       "      <path d=\"M 27.90625 47 \n",
       "C 13.296875 47 3.203125 36.671875 3.203125 21.75 \n",
       "C 3.203125 7.609375 12.09375 -2 25 -2 \n",
       "C 40.40625 -2 51.40625 8.71875 51.40625 23.75 \n",
       "C 51.40625 37.28125 41.59375 47 27.90625 47 \n",
       "z\n",
       "M 26.09375 43.6875 \n",
       "C 35.296875 43.6875 42.09375 33.671875 42.09375 20.046875 \n",
       "C 42.09375 8.515625 37 1.296875 28.90625 1.296875 \n",
       "C 19.09375 1.296875 12.5 10.921875 12.5 25.15625 \n",
       "C 12.5 37.171875 17.296875 43.6875 26.09375 43.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-111\"/>\n",
       "      <path d=\"M 9.796875 38.6875 \n",
       "L 9.796875 9.671875 \n",
       "C 9.796875 2.21875 13.09375 -1 20.796875 -1 \n",
       "C 23.09375 -1 25.5 -0.5 26.09375 0.203125 \n",
       "L 30.90625 5.515625 \n",
       "L 29.59375 7.234375 \n",
       "C 27.09375 5.8125 25.59375 5.3125 23.703125 5.3125 \n",
       "C 19.796875 5.3125 18.203125 7.34375 18.203125 12.3125 \n",
       "L 18.203125 38.890625 \n",
       "L 31 38.890625 \n",
       "L 31.90625 44 \n",
       "L 18.203125 44 \n",
       "L 18.203125 47.75 \n",
       "C 18.203125 51.890625 18.5 55.421875 19.296875 61.734375 \n",
       "L 18.09375 62.828125 \n",
       "C 15.703125 61.328125 12.703125 60.03125 9.59375 59.03125 \n",
       "C 9.90625 56.015625 10 54.109375 10 51.109375 \n",
       "L 10 44.09375 \n",
       "L 2.203125 40.59375 \n",
       "L 2.203125 38.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-116\"/>\n",
       "      <path d=\"M 18.796875 46.765625 \n",
       "L 17.90625 47.171875 \n",
       "C 12.796875 45.0625 7.59375 43.640625 2.296875 43.046875 \n",
       "L 2.296875 40.25 \n",
       "L 6 40.25 \n",
       "C 10 40.25 10.40625 39.546875 10.40625 32.890625 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.171875 \n",
       "z\n",
       "M 14.203125 69 \n",
       "C 11.203125 69 8.59375 66.390625 8.59375 63.375 \n",
       "C 8.59375 60.46875 11.203125 57.875 14.09375 57.875 \n",
       "C 17 57.875 19.703125 60.46875 19.703125 63.375 \n",
       "C 19.703125 66.1875 17 69 14.203125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-105\"/>\n",
       "      <path d=\"M 4.09375 14.328125 \n",
       "C 4.09375 7.421875 3.796875 4.40625 3 0.40625 \n",
       "C 8.203125 -1.296875 12.09375 -2 16.703125 -2 \n",
       "C 29.796875 -2 39.09375 5.015625 39.09375 14.828125 \n",
       "C 39.09375 17.9375 38.203125 20.234375 36.296875 22.25 \n",
       "C 33.703125 24.75 30.40625 25.953125 21.59375 27.65625 \n",
       "C 13.40625 29.265625 10.703125 31.265625 10.703125 35.875 \n",
       "C 10.703125 40.875 14.203125 43.6875 20.296875 43.6875 \n",
       "C 27 43.6875 32.09375 40.1875 32.09375 35.46875 \n",
       "L 32.09375 33.171875 \n",
       "L 34.90625 33.171875 \n",
       "C 35 38.984375 35.09375 41.375 35.40625 44.484375 \n",
       "C 30.09375 46.296875 26.5 47 22.40625 47 \n",
       "C 10.796875 47 3.703125 41.484375 3.703125 32.46875 \n",
       "C 3.703125 27.65625 5.90625 24.25 10.5 22.140625 \n",
       "C 13.203125 20.9375 18.5 19.34375 25.296875 17.828125 \n",
       "C 29.796875 16.828125 31.703125 14.734375 31.703125 10.921875 \n",
       "C 31.703125 5.515625 26.703125 1.703125 19.59375 1.703125 \n",
       "C 12.296875 1.703125 7.09375 5.203125 7.09375 10.21875 \n",
       "L 7.09375 14.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-115\"/>\n",
       "      <path d=\"M 51.90625 38 \n",
       "L 54.40625 42.109375 \n",
       "L 54 43.109375 \n",
       "L 39.796875 43.109375 \n",
       "C 36.09375 45.890625 32.5 47 27.59375 47 \n",
       "C 23.203125 47 18.09375 45.625 14 43.25 \n",
       "C 8.40625 40.109375 5.5 35.28125 5.5 29.28125 \n",
       "C 5.5 22 10.09375 16.984375 17.5 16.1875 \n",
       "L 9.59375 10 \n",
       "C 8.59375 8.484375 8.09375 7.171875 8.09375 5.640625 \n",
       "C 8.09375 2.8125 9.90625 1.1875 14.703125 -0.21875 \n",
       "L 6 -4.9375 \n",
       "C 4.59375 -5.734375 3.203125 -9.4375 3.203125 -12.546875 \n",
       "C 3.203125 -21.6875 12.09375 -28 24.796875 -28 \n",
       "C 39.90625 -28 51.796875 -18.46875 51.796875 -6.234375 \n",
       "C 51.796875 0.984375 47 6 40 6 \n",
       "L 24 6 \n",
       "C 18.796875 6 16.40625 7.21875 16.40625 9.984375 \n",
       "C 16.40625 11.3125 17.203125 12.421875 19.796875 14.671875 \n",
       "C 20.40625 15.1875 20.59375 15.390625 21 15.796875 \n",
       "C 22 15.6875 22.59375 15.59375 23.40625 15.59375 \n",
       "C 27.703125 15.59375 33 17.46875 37.09375 20.3125 \n",
       "C 41.59375 23.546875 43.796875 27.484375 43.796875 32.703125 \n",
       "C 43.796875 34.65625 43.5 35.9375 42.703125 38 \n",
       "z\n",
       "M 24 43.59375 \n",
       "C 30.796875 43.59375 35.40625 38.09375 35.40625 29.765625 \n",
       "C 35.40625 23.421875 31.203125 19 25.09375 19 \n",
       "C 18.40625 19 13.90625 24.09375 13.90625 31.640625 \n",
       "C 13.90625 39.171875 17.59375 43.59375 24 43.59375 \n",
       "z\n",
       "M 28.703125 -1.015625 \n",
       "C 40 -1.015625 43.90625 -3.3125 43.90625 -9.84375 \n",
       "C 43.90625 -18.46875 36 -24.890625 25.5 -24.890625 \n",
       "C 16.796875 -24.890625 10.796875 -19.78125 10.796875 -12.34375 \n",
       "C 10.796875 -7.84375 13.40625 -3.71875 17.40625 -2.015625 \n",
       "C 19 -1.21875 21.796875 -1.015625 28.703125 -1.015625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-103\"/>\n",
       "      <path d=\"M 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 46.59375 \n",
       "L 16.296875 47 \n",
       "C 11.203125 44.890625 6 43.484375 0.703125 42.890625 \n",
       "L 0.703125 40.078125 \n",
       "L 4.40625 40.078125 \n",
       "C 8.40625 40.078125 8.796875 39.375 8.796875 32.71875 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-110\"/>\n",
       "      <path d=\"M 41.296875 47 \n",
       "C 33.09375 27.9375 31.59375 24.546875 25.40625 10.578125 \n",
       "L 17 38.1875 \n",
       "C 16.703125 39.09375 16.59375 39.890625 16.59375 40.6875 \n",
       "C 16.59375 42.1875 17.90625 43 20.40625 43 \n",
       "L 24.40625 43 \n",
       "L 24.40625 45.8125 \n",
       "C 14.5 45.8125 14.5 45.8125 12.5 45.8125 \n",
       "C 10.5 45.8125 10.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43.203125 \n",
       "L 3.40625 43 \n",
       "C 6.203125 42.796875 7.5 40.8125 10 33.03125 \n",
       "L 20.203125 -0.5 \n",
       "L 24.90625 -0.5 \n",
       "L 34.703125 22.453125 \n",
       "C 35.203125 23.65625 36.296875 26.046875 37.90625 29.4375 \n",
       "L 39.90625 33.625 \n",
       "L 53.5 -0.5 \n",
       "L 58.09375 -0.5 \n",
       "C 58.796875 1.59375 59.59375 3.890625 60.40625 6.078125 \n",
       "C 62.40625 11.984375 64.59375 18.15625 65 18.765625 \n",
       "L 71.796875 34.3125 \n",
       "C 74.796875 41.015625 76 42.703125 78.203125 43 \n",
       "L 80.796875 43.203125 \n",
       "L 80.796875 45.8125 \n",
       "C 72.59375 45.8125 72.59375 45.8125 71 45.8125 \n",
       "C 69.40625 45.8125 69.40625 45.8125 61.203125 45.8125 \n",
       "L 61.203125 43 \n",
       "L 64.59375 43 \n",
       "C 67.09375 43 68.5 41.796875 68.5 39.984375 \n",
       "C 68.5 38.890625 68.296875 37.6875 67.796875 36.390625 \n",
       "L 62.796875 22.390625 \n",
       "C 62 20.1875 61.203125 18.171875 58 9.96875 \n",
       "L 46.5 38.90625 \n",
       "C 45.09375 42.296875 44.40625 44.296875 43.59375 47 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-119\"/>\n",
       "      <path d=\"M 0.703125 66.375 \n",
       "L 6.296875 66.375 \n",
       "C 8.09375 66.375 8.796875 65.265625 8.796875 62.25 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "L 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 72.078125 \n",
       "L 16.296875 72.890625 \n",
       "C 11.90625 71.1875 8.59375 70.375 0.703125 69.171875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-104\"/>\n",
       "      <path d=\"M 12.40625 11.625 \n",
       "C 9.40625 11.625 6.703125 8.8125 6.703125 5.8125 \n",
       "C 6.703125 2.796875 9.40625 0 12.296875 0 \n",
       "C 15.5 0 18.296875 2.703125 18.296875 5.8125 \n",
       "C 18.296875 8.8125 15.5 11.625 12.40625 11.625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-46\"/>\n",
       "      <path d=\"M 41.203125 43.78125 \n",
       "C 35.59375 46.1875 32.796875 47 29.296875 47 \n",
       "C 26.59375 47 24.203125 46.390625 21.703125 45.109375 \n",
       "L 12.90625 40.515625 \n",
       "C 7.203125 37.515625 3.5 30.234375 3.5 21.75 \n",
       "C 3.5 13.765625 6.203125 7.1875 11.09375 3.1875 \n",
       "C 14.5 0.296875 19.203125 -1 25.703125 -1 \n",
       "C 27.703125 -1 30 -0.59375 30.5 -0.203125 \n",
       "L 41.59375 9.109375 \n",
       "L 41.09375 -0.109375 \n",
       "C 46 -0.109375 47.59375 -0.109375 48.796875 -0.109375 \n",
       "C 49.59375 -0.109375 51 -0.109375 53.09375 -0.109375 \n",
       "C 53.796875 -0.109375 55.796875 -0.109375 57.90625 -0.109375 \n",
       "L 57.90625 3 \n",
       "L 53.296875 3 \n",
       "C 49.90625 3 49.59375 3.703125 49.59375 10.046875 \n",
       "L 49.59375 71.984375 \n",
       "L 48.703125 72.796875 \n",
       "C 44.296875 71.09375 41 70.28125 33.09375 69.078125 \n",
       "L 33.09375 66.28125 \n",
       "L 38.703125 66.28125 \n",
       "C 40.5 66.28125 41.203125 65.171875 41.203125 62.15625 \n",
       "z\n",
       "M 41.203125 22.25 \n",
       "C 41.203125 15.765625 41 14.78125 39.703125 12.484375 \n",
       "C 36.90625 7.796875 32 4.71875 27.296875 4.71875 \n",
       "C 18.5 4.71875 12.203125 13.1875 12.203125 25.046875 \n",
       "C 12.203125 35.90625 17.59375 42.28125 26.59375 42.28125 \n",
       "C 30.40625 42.28125 34.40625 40.984375 37.90625 38.59375 \n",
       "C 40 37.203125 41.203125 35.90625 41.203125 35.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-100\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-65\"/>\n",
       "     <use transform=\"translate(77.50837 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-82\"/>\n",
       "     <use transform=\"translate(144.058064 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "     <use transform=\"translate(177.233294 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-51\"/>\n",
       "     <use transform=\"translate(227.046494 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     <use transform=\"translate(285.128324 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(332.848619 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-120\"/>\n",
       "     <use transform=\"translate(384.254967 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(434.068167 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(522.037841 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(581.912235 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(610.902597 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(658.622892 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(708.436092 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(762.831672 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(822.706066 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(855.183154 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(884.173516 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(972.14319 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1021.95639 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(1075.853352 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1118.094818 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1147.08518 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "     <use transform=\"translate(1202.476857 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(1260.458917 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1310.272118 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(1364.16908 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "     <use transform=\"translate(1447.257173 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1476.247534 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1508.724622 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(1591.613283 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1620.603645 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(1645.510245 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1674.500606 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(1699.407206 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "     <use transform=\"translate(1760.278837 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(1816.06947 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(1874.05153 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1928.447111 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1957.437472 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1999.678938 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_3\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 1.767767 1.767767 \n",
       "L 0.92388 0.382683 \n",
       "L 2.5 0 \n",
       "L 0.92388 -0.382683 \n",
       "L 1.767767 -1.767767 \n",
       "L 0.382683 -0.92388 \n",
       "L 0 -2.5 \n",
       "L -0.382683 -0.92388 \n",
       "L -1.767767 -1.767767 \n",
       "L -0.92388 -0.382683 \n",
       "L -2.5 -0 \n",
       "L -0.92388 0.382683 \n",
       "L -1.767767 1.767767 \n",
       "L -0.382683 0.92388 \n",
       "L -0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 0 2.5 \n",
       "\" id=\"mc598e07aaf\" style=\"stroke:#666666;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p77deb354f5)\">\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"34.12582\" xlink:href=\"#mc598e07aaf\" y=\"78.903566\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"41.465636\" xlink:href=\"#mc598e07aaf\" y=\"84.388417\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"48.805453\" xlink:href=\"#mc598e07aaf\" y=\"106.79068\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"56.14527\" xlink:href=\"#mc598e07aaf\" y=\"131.641913\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"63.485086\" xlink:href=\"#mc598e07aaf\" y=\"149.078775\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"70.824903\" xlink:href=\"#mc598e07aaf\" y=\"155.794921\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"78.16472\" xlink:href=\"#mc598e07aaf\" y=\"153.650123\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"85.504536\" xlink:href=\"#mc598e07aaf\" y=\"146.947386\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"92.844353\" xlink:href=\"#mc598e07aaf\" y=\"139.912951\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"100.18417\" xlink:href=\"#mc598e07aaf\" y=\"135.20775\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"107.523986\" xlink:href=\"#mc598e07aaf\" y=\"133.594789\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"114.863803\" xlink:href=\"#mc598e07aaf\" y=\"134.42136\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"122.20362\" xlink:href=\"#mc598e07aaf\" y=\"136.417961\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"129.543437\" xlink:href=\"#mc598e07aaf\" y=\"138.400499\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"136.883253\" xlink:href=\"#mc598e07aaf\" y=\"139.661902\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"144.22307\" xlink:href=\"#mc598e07aaf\" y=\"140.036161\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"151.562887\" xlink:href=\"#mc598e07aaf\" y=\"139.742343\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"158.902703\" xlink:href=\"#mc598e07aaf\" y=\"139.152358\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"166.24252\" xlink:href=\"#mc598e07aaf\" y=\"138.596339\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"173.582337\" xlink:href=\"#mc598e07aaf\" y=\"138.260625\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"180.922153\" xlink:href=\"#mc598e07aaf\" y=\"138.178086\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"188.26197\" xlink:href=\"#mc598e07aaf\" y=\"138.27748\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"195.601787\" xlink:href=\"#mc598e07aaf\" y=\"138.450561\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"202.941603\" xlink:href=\"#mc598e07aaf\" y=\"138.60574\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"210.28142\" xlink:href=\"#mc598e07aaf\" y=\"138.694369\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"217.621237\" xlink:href=\"#mc598e07aaf\" y=\"138.711113\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"224.961053\" xlink:href=\"#mc598e07aaf\" y=\"138.678607\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"232.30087\" xlink:href=\"#mc598e07aaf\" y=\"138.628166\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"239.640687\" xlink:href=\"#mc598e07aaf\" y=\"138.585071\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"246.980503\" xlink:href=\"#mc598e07aaf\" y=\"138.561885\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 144.162199 65.130987 \n",
       "L 242.980503 65.130987 \n",
       "L 242.980503 19.250056 \n",
       "L 144.162199 19.250056 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_27\">\n",
       "     <path d=\"M 150.562199 28.928806 \n",
       "L 166.562199 28.928806 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_28\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \n",
       "z\n",
       "\" id=\"m29e3ba81b2\" style=\"stroke:#000000;stroke-width:2.133333;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"stroke:#000000;stroke-width:2.133333;\" x=\"158.562199\" xlink:href=\"#m29e3ba81b2\" y=\"28.928806\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_25\">\n",
       "     <!-- $X_{t}$ to $\\varepsilon_t$ -->\n",
       "     <g transform=\"translate(172.962199 31.728806)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 41.59375 2.6875 \n",
       "L 41.59375 0 \n",
       "C 46.40625 0 50.90625 0 55.09375 0 \n",
       "C 59.09375 0 63.59375 0 68.40625 0 \n",
       "L 68.40625 2.6875 \n",
       "L 65.90625 2.890625 \n",
       "C 61.796875 3.1875 60.5 3.890625 59.09375 6.28125 \n",
       "L 42 36.890625 \n",
       "L 64.09375 62.03125 \n",
       "C 67.09375 65.328125 68 65.921875 70.59375 66.21875 \n",
       "L 73.40625 66.421875 \n",
       "L 73.40625 69 \n",
       "L 62 69 \n",
       "C 60.796875 69 59.40625 69 50.5 69 \n",
       "L 50.5 66.21875 \n",
       "L 53.796875 66.21875 \n",
       "C 57 66.21875 58.296875 65.71875 58.296875 64.515625 \n",
       "C 58.296875 63.40625 57.796875 62.5 56 60.28125 \n",
       "L 39.90625 40.578125 \n",
       "L 29.5 60.578125 \n",
       "C 28.59375 62.40625 28.09375 63.609375 28.09375 64.40625 \n",
       "C 28.09375 65.625 29.40625 66.21875 32.40625 66.21875 \n",
       "L 36.09375 66.21875 \n",
       "L 36.09375 69 \n",
       "L 31.5 69 \n",
       "C 27.40625 69 24.40625 69 22.796875 69 \n",
       "C 21.09375 69 18.09375 69 14 69 \n",
       "L 9.5 69 \n",
       "L 9.5 66.421875 \n",
       "L 12.09375 66.21875 \n",
       "C 17 65.71875 18.203125 65.015625 20.203125 61.34375 \n",
       "L 34.796875 34.40625 \n",
       "L 11 6.28125 \n",
       "C 9.5 4.484375 7.203125 3.296875 4.796875 2.984375 \n",
       "L 2 2.6875 \n",
       "L 2 0 \n",
       "C 6.90625 0 11 0 14.5 0 \n",
       "C 18.09375 0 22.09375 0 26.40625 0 \n",
       "L 26.40625 2.6875 \n",
       "L 23.203125 2.984375 \n",
       "C 19.40625 3.390625 17.703125 3.96875 17.703125 5.171875 \n",
       "C 17.703125 5.96875 18.09375 6.859375 18.703125 7.65625 \n",
       "L 36.90625 30.71875 \n",
       "L 48.796875 8.171875 \n",
       "C 49.703125 6.375 50.203125 5.078125 50.203125 4.1875 \n",
       "C 50.203125 3.3125 49.5 2.984375 47 2.984375 \n",
       "L 45.40625 2.984375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-88\"/>\n",
       "       <path d=\"M 12.5 38.515625 \n",
       "L 6.90625 10.484375 \n",
       "C 6.796875 9.78125 6.703125 9.609375 6.40625 8.40625 \n",
       "C 5.796875 5.640625 5.59375 4.140625 5.59375 2.96875 \n",
       "C 5.59375 0.484375 6.703125 -1 8.59375 -1 \n",
       "C 12.09375 -1 15.59375 0.96875 23.40625 7.234375 \n",
       "L 24.90625 8.40625 \n",
       "L 26.5 9.703125 \n",
       "L 25.5 11.484375 \n",
       "L 21 8.40625 \n",
       "C 18.09375 6.4375 16.09375 5.4375 15 5.4375 \n",
       "C 14.09375 5.4375 13.59375 6.234375 13.59375 7.40625 \n",
       "C 13.59375 9.984375 15 18.015625 17.90625 32.375 \n",
       "L 19.203125 38.515625 \n",
       "L 29.90625 38.515625 \n",
       "L 31 43.5 \n",
       "C 27.203125 43 23.796875 43 20 43 \n",
       "C 21.59375 52.3125 22.703125 57.171875 24.5 62.515625 \n",
       "L 23.40625 64.015625 \n",
       "C 21.40625 62.828125 18.703125 61.625 15.59375 60.4375 \n",
       "L 13.09375 43.5 \n",
       "C 8.703125 41.40625 6.09375 40.3125 4.296875 39.8125 \n",
       "L 4.09375 38.515625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-116\"/>\n",
       "       <path d=\"M 30.796875 42.015625 \n",
       "L 30.5 35.28125 \n",
       "L 33.296875 35.28125 \n",
       "C 33.796875 39.875 34.703125 42.515625 36 46.203125 \n",
       "C 32.703125 48 27.796875 49 24.40625 49 \n",
       "C 19.90625 49 16.203125 47.171875 12.09375 44.21875 \n",
       "C 9.09375 42.078125 5.09375 37.609375 5.09375 33.84375 \n",
       "C 5.09375 29.65625 8.296875 26.921875 13.90625 25.796875 \n",
       "C 11.59375 25.09375 9 23.390625 5.703125 20.671875 \n",
       "C 2.40625 18.0625 1.5 14.15625 1.5 11.359375 \n",
       "C 1.5 7.84375 2.703125 5.828125 4.09375 4.03125 \n",
       "C 7.09375 0.203125 12.5 -1 17.90625 -1 \n",
       "C 22.90625 -1 28.5 1.609375 36.40625 7.84375 \n",
       "L 35.203125 9.546875 \n",
       "C 29.90625 5.734375 25.09375 4.03125 21.5 4.03125 \n",
       "C 16.59375 4.03125 9.796875 6.234375 9.796875 12.65625 \n",
       "C 9.796875 18.875 12 24 21.703125 24 \n",
       "C 24.203125 24 26.296875 23.796875 28 23.296875 \n",
       "C 28 23.890625 28.5 26.296875 28.796875 27 \n",
       "L 28.59375 28.015625 \n",
       "C 26.5 27.3125 24.5 27 22.5 27 \n",
       "C 16.40625 27 12.296875 29.765625 12.296875 35.171875 \n",
       "C 12.296875 40.890625 17.90625 45.5 23.59375 45.5 \n",
       "C 25.703125 45.5 27.203125 45.09375 28.796875 44.375 \n",
       "C 30.296875 43.75 30.703125 42.21875 30.796875 42.015625 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-35\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(73.125711 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(124.689443 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(157.166531 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(237.714011 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-35\"/>\n",
       "      <use transform=\"translate(281.848509 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_29\">\n",
       "     <path d=\"M 150.562199 41.255079 \n",
       "L 166.562199 41.255079 \n",
       "\" style=\"fill:none;stroke:#333333;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_30\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \n",
       "z\n",
       "\" id=\"m0bcb217a7c\" style=\"stroke:#333333;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#333333;stroke-width:1.28;\" x=\"158.562199\" xlink:href=\"#m0bcb217a7c\" y=\"41.255079\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_26\">\n",
       "     <!-- $Y_t=E[X_t|I_t]$ to $\\varepsilon_t$ -->\n",
       "     <g transform=\"translate(172.962199 44.055079)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 5.203125 64.296875 \n",
       "L 5.5 61.9375 \n",
       "C 7.796875 62.828125 8.90625 63.125 10 63.125 \n",
       "C 14.703125 63.125 18.296875 58.578125 22.40625 47.46875 \n",
       "C 24.796875 40.84375 28.703125 27.265625 28.59375 25.6875 \n",
       "C 28.59375 25.6875 28.59375 25.390625 28.5 25.09375 \n",
       "L 26.40625 12.5 \n",
       "C 24.703125 3.40625 24.59375 3.109375 20.59375 2.796875 \n",
       "L 15.796875 2.796875 \n",
       "L 15.40625 0 \n",
       "L 20.703125 0 \n",
       "C 25.40625 0 27.703125 0 29.296875 0 \n",
       "L 39 0 \n",
       "L 41.59375 0 \n",
       "L 41.90625 2.796875 \n",
       "L 37 2.796875 \n",
       "C 34.296875 3 33.40625 3.703125 33.40625 5.6875 \n",
       "C 33.40625 6.296875 33.5 7.265625 33.59375 7.765625 \n",
       "L 36.203125 24.46875 \n",
       "C 37.09375 29.9375 43.59375 41.65625 51 50.90625 \n",
       "C 56.796875 58.265625 61 61.25 66.90625 62.25 \n",
       "L 67.5 69.296875 \n",
       "C 60.203125 67.421875 54.90625 63.25 47.40625 53.34375 \n",
       "C 41.296875 45.015625 37.40625 38.265625 34.59375 30.9375 \n",
       "C 27.09375 61.265625 22.296875 70 13.09375 70 \n",
       "L 12.703125 69.703125 \n",
       "C 12.40625 69.421875 12.09375 69.21875 11.796875 69.015625 \n",
       "C 10.703125 68.140625 8.59375 66.5625 6.703125 65.375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-89\"/>\n",
       "       <path d=\"M 68.703125 32 \n",
       "C 70.203125 32 72.09375 32 72.09375 34.015625 \n",
       "C 72.09375 36.015625 70.203125 36.015625 68.796875 36.015625 \n",
       "L 8.90625 36.015625 \n",
       "C 7.5 36.015625 5.59375 36.015625 5.59375 34.015625 \n",
       "C 5.59375 32 7.5 32 9 32 \n",
       "z\n",
       "M 68.796875 13 \n",
       "C 70.203125 13 72.09375 13 72.09375 15.015625 \n",
       "C 72.09375 17.015625 70.203125 17.015625 68.703125 17.015625 \n",
       "L 9 17.015625 \n",
       "C 7.5 17.015625 5.59375 17.015625 5.59375 15.015625 \n",
       "C 5.59375 13 7.5 13 8.90625 13 \n",
       "z\n",
       "\" id=\"CMR10-61\"/>\n",
       "       <path d=\"M 22.09375 33.328125 \n",
       "L 33.796875 33.328125 \n",
       "C 36.5 33.328125 39.59375 33.328125 44.40625 33.328125 \n",
       "L 47 33.328125 \n",
       "L 48.90625 37.609375 \n",
       "L 48.5 38 \n",
       "C 40.40625 38 34.40625 38 26.59375 38 \n",
       "L 22.90625 38 \n",
       "L 27.09375 61.546875 \n",
       "C 27.40625 63.140625 27.59375 63.921875 28 64.71875 \n",
       "L 32.703125 64.71875 \n",
       "C 35.90625 64.71875 39.09375 64.71875 41.296875 64.71875 \n",
       "C 47.5 64.71875 51.59375 63.890625 51.703125 62.53125 \n",
       "L 52.5 53.6875 \n",
       "L 54.90625 53.6875 \n",
       "C 55.203125 60.046875 55.90625 65.03125 57 68.796875 \n",
       "C 54.90625 69 51.90625 69 50.09375 69 \n",
       "C 49.796875 69 48.703125 69 46.296875 69 \n",
       "L 34.296875 69 \n",
       "C 33.40625 69 27.5 69 26.5 69 \n",
       "C 22.796875 69 20.09375 69 15 69 \n",
       "L 10.5 69 \n",
       "L 10.203125 66.109375 \n",
       "L 15.59375 66.109375 \n",
       "C 18 66.109375 19.09375 65.3125 19.09375 63.515625 \n",
       "C 19.09375 62.125 18.703125 58.9375 18.203125 55.953125 \n",
       "L 9.5 5.78125 \n",
       "C 9.09375 3.984375 7.90625 3.28125 3.5 2.59375 \n",
       "L 3 0 \n",
       "L 7.09375 0 \n",
       "C 10.203125 0 16.40625 0 18.40625 0 \n",
       "L 39.90625 0 \n",
       "L 40.90625 0 \n",
       "C 42.296875 0 44.796875 0 48.09375 0 \n",
       "L 51.40625 0 \n",
       "L 51.796875 3.625 \n",
       "C 52 5.65625 52.5 8.6875 53.40625 13.640625 \n",
       "L 53.90625 16.265625 \n",
       "L 51.203125 16.265625 \n",
       "L 49.59375 10.125 \n",
       "C 48.59375 6.4375 47.703125 5.21875 45.5 4.703125 \n",
       "C 43.5 4.28125 36.203125 4.28125 30.796875 4.28125 \n",
       "C 26.703125 4.28125 24.5 4.28125 17.59375 4.78125 \n",
       "L 17.59375 5.1875 \n",
       "C 17.59375 6.5625 17.703125 7.359375 17.796875 8.25 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-69\"/>\n",
       "       <path d=\"M 25.5 -25 \n",
       "L 25.5 -20.984375 \n",
       "L 15.796875 -20.984375 \n",
       "L 15.796875 71 \n",
       "L 25.5 71 \n",
       "L 25.5 75.015625 \n",
       "L 11.796875 75.015625 \n",
       "L 11.796875 -25 \n",
       "z\n",
       "\" id=\"CMR10-91\"/>\n",
       "       <path d=\"M 15.90625 71.40625 \n",
       "C 15.90625 73.203125 15.90625 75 13.90625 75 \n",
       "C 11.90625 75 11.90625 73.203125 11.90625 71.40625 \n",
       "L 11.90625 -21.40625 \n",
       "C 11.90625 -23.203125 11.90625 -25 13.90625 -25 \n",
       "C 15.90625 -25 15.90625 -23.203125 15.90625 -21.40625 \n",
       "z\n",
       "\" id=\"CMSY10-106\"/>\n",
       "       <path d=\"M 10.296875 66.21875 \n",
       "L 15 66.21875 \n",
       "C 17.40625 66.21875 18.5 65.390625 18.5 63.625 \n",
       "C 18.5 62.9375 17.90625 57.65625 17.59375 55.96875 \n",
       "L 10.40625 12.75 \n",
       "C 8.90625 3.875 8.59375 3.390625 4.59375 3.078125 \n",
       "L 1 2.78125 \n",
       "L 0.703125 0 \n",
       "L 3.90625 0 \n",
       "L 13.296875 0 \n",
       "L 22.703125 0 \n",
       "L 25.90625 0 \n",
       "L 26.203125 2.796875 \n",
       "L 21 2.796875 \n",
       "C 18.40625 3 17.40625 3.703125 17.40625 5.6875 \n",
       "C 17.40625 6.296875 17.5 7.390625 17.59375 7.78125 \n",
       "L 26.5 61.125 \n",
       "C 27.203125 65.015625 27.703125 65.515625 31.59375 65.921875 \n",
       "L 35.09375 66.21875 \n",
       "L 35.40625 69 \n",
       "L 34.5 69 \n",
       "L 24.796875 69 \n",
       "C 23.09375 69 21.296875 69 17 69 \n",
       "L 10.59375 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Italic-73\"/>\n",
       "       <path d=\"M 15.90625 75.015625 \n",
       "L 2.203125 75.015625 \n",
       "L 2.203125 71 \n",
       "L 11.90625 71 \n",
       "L 11.90625 -20.984375 \n",
       "L 2.203125 -20.984375 \n",
       "L 2.203125 -25 \n",
       "L 15.90625 -25 \n",
       "z\n",
       "\" id=\"CMR10-93\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-89\"/>\n",
       "      <use transform=\"translate(59.676223 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(115.252587 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "      <use transform=\"translate(227.607957 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-69\"/>\n",
       "      <use transform=\"translate(290.969244 0)scale(1.038107)\" xlink:href=\"#CMR10-91\"/>\n",
       "      <use transform=\"translate(323.746385 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(396.872096 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(424.774527 0)scale(1.038107)\" xlink:href=\"#CMSY10-106\"/>\n",
       "      <use transform=\"translate(461.038577 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-73\"/>\n",
       "      <use transform=\"translate(493.915289 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(521.81772 0)scale(1.038107)\" xlink:href=\"#CMR10-93\"/>\n",
       "      <use transform=\"translate(576.761719 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(609.238807 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(689.786287 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-35\"/>\n",
       "      <use transform=\"translate(733.920786 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_31\">\n",
       "     <path d=\"M 150.562199 53.683464 \n",
       "L 166.562199 53.683464 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_32\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 2.262742 2.262742 \n",
       "L 1.182566 0.489835 \n",
       "L 3.2 0 \n",
       "L 1.182566 -0.489835 \n",
       "L 2.262742 -2.262742 \n",
       "L 0.489835 -1.182566 \n",
       "L 0 -3.2 \n",
       "L -0.489835 -1.182566 \n",
       "L -2.262742 -2.262742 \n",
       "L -1.182566 -0.489835 \n",
       "L -3.2 -0 \n",
       "L -1.182566 0.489835 \n",
       "L -2.262742 2.262742 \n",
       "L -0.489835 1.182566 \n",
       "L -0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 0 3.2 \n",
       "\" id=\"m766658308f\" style=\"stroke:#666666;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill:#666666;stroke:#666666;stroke-width:1.28;\" x=\"158.562199\" xlink:href=\"#m766658308f\" y=\"53.683464\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_27\">\n",
       "     <!-- $Y_t=E[X_t|I_t]$ to $\\psi_t$ -->\n",
       "     <g transform=\"translate(172.962199 56.483464)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 37.703125 24.203125 \n",
       "C 37.703125 24.203125 39.59375 34.65625 41.203125 43.6875 \n",
       "C 42.796875 53.125 43.90625 58.046875 45.703125 63.46875 \n",
       "L 44.59375 64.984375 \n",
       "C 42.59375 63.765625 39.90625 62.5625 36.796875 61.359375 \n",
       "C 34 41.484375 31.203125 23.109375 27.796875 4.21875 \n",
       "C 22.59375 4.734375 15.796875 6.734375 15.796875 14.765625 \n",
       "C 15.796875 16.28125 16 18.1875 16.40625 20.09375 \n",
       "L 20.5 41.078125 \n",
       "C 20.796875 42.6875 21 44.09375 21 45.390625 \n",
       "C 21 47.3125 20.203125 48.515625 18.796875 48.515625 \n",
       "C 16.703125 48.515625 13 46.5 5.5 41.078125 \n",
       "L 2.703125 39.078125 \n",
       "L 3.40625 37.0625 \n",
       "L 6.59375 39.171875 \n",
       "C 9.5 40.984375 10.5 41.484375 11.40625 41.484375 \n",
       "C 12.40625 41.484375 13.09375 40.578125 13.09375 39.46875 \n",
       "C 13.09375 38.96875 13 38.171875 12.90625 37.671875 \n",
       "L 8.59375 14.765625 \n",
       "C 8.5 13.96875 8.5 13.0625 8.5 12.265625 \n",
       "C 8.5 5.328125 15.90625 -1 25.90625 -1 \n",
       "L 26.796875 -1 \n",
       "C 25.40625 -8.328125 23.90625 -15.65625 22.296875 -23.28125 \n",
       "L 21.5 -27 \n",
       "L 22.203125 -27.609375 \n",
       "C 24.296875 -26.90625 26.296875 -26.40625 29.5 -25.890625 \n",
       "L 33.703125 -0.1875 \n",
       "C 37.59375 0.609375 42.5 2.625 47.5 7.234375 \n",
       "C 51.90625 11.25 54.90625 15.96875 57.796875 22.296875 \n",
       "C 60.296875 27.625 62 34.453125 62 38.671875 \n",
       "C 62 44.5 59.5 48.515625 55.796875 48.515625 \n",
       "C 54.40625 48.515625 53.40625 48.109375 52.5 47.3125 \n",
       "L 47.5 42.59375 \n",
       "L 48.59375 40.6875 \n",
       "C 49.5 41.21875 50.296875 41.484375 51.296875 41.484375 \n",
       "C 54.09375 41.484375 55.59375 39.171875 55.59375 35.171875 \n",
       "C 55.59375 13.828125 44 5.625 34.40625 4.328125 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-121\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-89\"/>\n",
       "      <use transform=\"translate(59.676223 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(115.252587 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "      <use transform=\"translate(227.607957 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-69\"/>\n",
       "      <use transform=\"translate(290.969244 0)scale(1.038107)\" xlink:href=\"#CMR10-91\"/>\n",
       "      <use transform=\"translate(323.746385 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(396.872096 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(424.774527 0)scale(1.038107)\" xlink:href=\"#CMSY10-106\"/>\n",
       "      <use transform=\"translate(461.038577 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-73\"/>\n",
       "      <use transform=\"translate(493.915289 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(521.81772 0)scale(1.038107)\" xlink:href=\"#CMR10-93\"/>\n",
       "      <use transform=\"translate(576.761719 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(609.238807 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(689.786287 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-121\"/>\n",
       "      <use transform=\"translate(754.24452 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 275.430251 201.025354 \n",
       "L 495.624751 201.025354 \n",
       "L 495.624751 15.250056 \n",
       "L 275.430251 15.250056 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path clip-path=\"url(#p465bd74639)\" d=\"M 282.770068 55.059049 \n",
       "L 290.109884 41.789385 \n",
       "L 297.449701 51.078149 \n",
       "L 304.789518 68.461409 \n",
       "L 312.129334 87.344142 \n",
       "L 319.469151 104.938389 \n",
       "L 326.808968 120.257818 \n",
       "L 334.148785 133.135377 \n",
       "L 341.488601 143.748432 \n",
       "L 348.828418 152.39438 \n",
       "L 356.168235 159.38889 \n",
       "L 363.508051 165.023374 \n",
       "L 370.847868 169.550399 \n",
       "L 378.187685 173.181738 \n",
       "L 385.527501 176.091669 \n",
       "L 392.867318 178.422044 \n",
       "L 400.207135 180.287558 \n",
       "L 407.546951 181.780577 \n",
       "L 414.886768 182.975296 \n",
       "L 422.226585 183.931223 \n",
       "L 429.566401 184.696041 \n",
       "L 436.906218 185.307932 \n",
       "L 444.246035 185.797465 \n",
       "L 451.585851 186.189101 \n",
       "L 458.925668 186.502414 \n",
       "L 466.265485 186.753067 \n",
       "L 473.605301 186.95359 \n",
       "L 480.945118 187.11401 \n",
       "L 488.284935 187.242345 \n",
       "L 495.624751 187.345014 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_4\">\n",
       "    <g clip-path=\"url(#p465bd74639)\">\n",
       "     <use style=\"stroke:#000000;\" x=\"282.770068\" xlink:href=\"#m54f749d024\" y=\"55.059049\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"290.109884\" xlink:href=\"#m54f749d024\" y=\"41.789385\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"297.449701\" xlink:href=\"#m54f749d024\" y=\"51.078149\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"304.789518\" xlink:href=\"#m54f749d024\" y=\"68.461409\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"312.129334\" xlink:href=\"#m54f749d024\" y=\"87.344142\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"319.469151\" xlink:href=\"#m54f749d024\" y=\"104.938389\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"326.808968\" xlink:href=\"#m54f749d024\" y=\"120.257818\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"334.148785\" xlink:href=\"#m54f749d024\" y=\"133.135377\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"341.488601\" xlink:href=\"#m54f749d024\" y=\"143.748432\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"348.828418\" xlink:href=\"#m54f749d024\" y=\"152.39438\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"356.168235\" xlink:href=\"#m54f749d024\" y=\"159.38889\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"363.508051\" xlink:href=\"#m54f749d024\" y=\"165.023374\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"370.847868\" xlink:href=\"#m54f749d024\" y=\"169.550399\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"378.187685\" xlink:href=\"#m54f749d024\" y=\"173.181738\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"385.527501\" xlink:href=\"#m54f749d024\" y=\"176.091669\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"392.867318\" xlink:href=\"#m54f749d024\" y=\"178.422044\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"400.207135\" xlink:href=\"#m54f749d024\" y=\"180.287558\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"407.546951\" xlink:href=\"#m54f749d024\" y=\"181.780577\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"414.886768\" xlink:href=\"#m54f749d024\" y=\"182.975296\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"422.226585\" xlink:href=\"#m54f749d024\" y=\"183.931223\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"429.566401\" xlink:href=\"#m54f749d024\" y=\"184.696041\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"436.906218\" xlink:href=\"#m54f749d024\" y=\"185.307932\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"444.246035\" xlink:href=\"#m54f749d024\" y=\"185.797465\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"451.585851\" xlink:href=\"#m54f749d024\" y=\"186.189101\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"458.925668\" xlink:href=\"#m54f749d024\" y=\"186.502414\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"466.265485\" xlink:href=\"#m54f749d024\" y=\"186.753067\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"473.605301\" xlink:href=\"#m54f749d024\" y=\"186.95359\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"480.945118\" xlink:href=\"#m54f749d024\" y=\"187.11401\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"488.284935\" xlink:href=\"#m54f749d024\" y=\"187.242345\"/>\n",
       "     <use style=\"stroke:#000000;\" x=\"495.624751\" xlink:href=\"#m54f749d024\" y=\"187.345014\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(272.870251 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"290.109884\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(287.549884 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_19\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"304.789518\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- $\\mathregular{4}$ -->\n",
       "      <g transform=\"translate(302.229518 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_20\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"319.469151\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(316.909151 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_21\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"334.148785\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- $\\mathregular{8}$ -->\n",
       "      <g transform=\"translate(331.588785 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_22\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"348.828418\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_33\">\n",
       "      <!-- $\\mathregular{10}$ -->\n",
       "      <g transform=\"translate(343.708418 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_23\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"363.508051\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(358.388051 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_24\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.187685\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- $\\mathregular{14}$ -->\n",
       "      <g transform=\"translate(373.067685 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_25\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"392.867318\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- $\\mathregular{16}$ -->\n",
       "      <g transform=\"translate(387.747318 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_26\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"407.546951\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_37\">\n",
       "      <!-- $\\mathregular{18}$ -->\n",
       "      <g transform=\"translate(402.426951 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_27\">\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"422.226585\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_38\">\n",
       "      <!-- $\\mathregular{20}$ -->\n",
       "      <g transform=\"translate(417.106585 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_28\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"436.906218\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_39\">\n",
       "      <!-- $\\mathregular{22}$ -->\n",
       "      <g transform=\"translate(431.786218 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_29\">\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"451.585851\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_40\">\n",
       "      <!-- $\\mathregular{24}$ -->\n",
       "      <g transform=\"translate(446.465851 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_30\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"466.265485\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_41\">\n",
       "      <!-- $\\mathregular{26}$ -->\n",
       "      <g transform=\"translate(461.145485 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_31\">\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"480.945118\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_42\">\n",
       "      <!-- $\\mathregular{28}$ -->\n",
       "      <g transform=\"translate(475.825118 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_32\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"495.624751\" xlink:href=\"#mcdcd11334e\" y=\"201.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_43\">\n",
       "      <!-- $\\mathregular{30}$ -->\n",
       "      <g transform=\"translate(490.504751 210.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"187.75569\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_44\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(259.130251 190.795065)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"161.216362\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_45\">\n",
       "      <!-- $\\mathregular{0.1}$ -->\n",
       "      <g transform=\"translate(259.130251 164.255737)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"134.677034\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_46\">\n",
       "      <!-- $\\mathregular{0.2}$ -->\n",
       "      <g transform=\"translate(259.610251 137.716409)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(89.910156 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"108.137705\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_47\">\n",
       "      <!-- $\\mathregular{0.3}$ -->\n",
       "      <g transform=\"translate(259.130251 111.17708)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"81.598377\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_48\">\n",
       "      <!-- $\\mathregular{0.4}$ -->\n",
       "      <g transform=\"translate(259.130251 84.637752)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"55.059049\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_49\">\n",
       "      <!-- $\\mathregular{0.5}$ -->\n",
       "      <g transform=\"translate(259.130251 58.098424)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"275.430251\" xlink:href=\"#m465c44d28e\" y=\"28.51972\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_50\">\n",
       "      <!-- $\\mathregular{0.6}$ -->\n",
       "      <g transform=\"translate(259.130251 31.559095)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <path clip-path=\"url(#p465bd74639)\" d=\"M 282.770068 155.274338 \n",
       "L 290.109884 131.899675 \n",
       "L 297.449701 119.396417 \n",
       "L 304.789518 115.830805 \n",
       "L 312.129334 118.359055 \n",
       "L 319.469151 124.418734 \n",
       "L 326.808968 132.09786 \n",
       "L 334.148785 140.134424 \n",
       "L 341.488601 147.784125 \n",
       "L 348.828418 154.667498 \n",
       "L 356.168235 160.639954 \n",
       "L 363.508051 165.695641 \n",
       "L 370.847868 169.902377 \n",
       "L 378.187685 173.360618 \n",
       "L 385.527501 176.179345 \n",
       "L 392.867318 178.463023 \n",
       "L 400.207135 180.305438 \n",
       "L 407.546951 181.787524 \n",
       "L 414.886768 182.977382 \n",
       "L 422.226585 183.931355 \n",
       "L 429.566401 184.695533 \n",
       "L 436.906218 185.307329 \n",
       "L 444.246035 185.796957 \n",
       "L 451.585851 186.188727 \n",
       "L 458.925668 186.50216 \n",
       "L 466.265485 186.752903 \n",
       "L 473.605301 186.953488 \n",
       "L 480.945118 187.113948 \n",
       "L 488.284935 187.242309 \n",
       "L 495.624751 187.344994 \n",
       "\" style=\"fill:none;stroke:#333333;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_5\">\n",
       "    <g clip-path=\"url(#p465bd74639)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"282.770068\" xlink:href=\"#m924bb13575\" y=\"155.274338\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"290.109884\" xlink:href=\"#m924bb13575\" y=\"131.899675\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"297.449701\" xlink:href=\"#m924bb13575\" y=\"119.396417\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"304.789518\" xlink:href=\"#m924bb13575\" y=\"115.830805\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"312.129334\" xlink:href=\"#m924bb13575\" y=\"118.359055\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"319.469151\" xlink:href=\"#m924bb13575\" y=\"124.418734\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"326.808968\" xlink:href=\"#m924bb13575\" y=\"132.09786\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"334.148785\" xlink:href=\"#m924bb13575\" y=\"140.134424\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"341.488601\" xlink:href=\"#m924bb13575\" y=\"147.784125\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"348.828418\" xlink:href=\"#m924bb13575\" y=\"154.667498\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"356.168235\" xlink:href=\"#m924bb13575\" y=\"160.639954\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"363.508051\" xlink:href=\"#m924bb13575\" y=\"165.695641\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"370.847868\" xlink:href=\"#m924bb13575\" y=\"169.902377\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"378.187685\" xlink:href=\"#m924bb13575\" y=\"173.360618\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"385.527501\" xlink:href=\"#m924bb13575\" y=\"176.179345\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"392.867318\" xlink:href=\"#m924bb13575\" y=\"178.463023\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"400.207135\" xlink:href=\"#m924bb13575\" y=\"180.305438\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"407.546951\" xlink:href=\"#m924bb13575\" y=\"181.787524\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"414.886768\" xlink:href=\"#m924bb13575\" y=\"182.977382\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"422.226585\" xlink:href=\"#m924bb13575\" y=\"183.931355\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"429.566401\" xlink:href=\"#m924bb13575\" y=\"184.695533\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"436.906218\" xlink:href=\"#m924bb13575\" y=\"185.307329\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"444.246035\" xlink:href=\"#m924bb13575\" y=\"185.796957\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"451.585851\" xlink:href=\"#m924bb13575\" y=\"186.188727\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"458.925668\" xlink:href=\"#m924bb13575\" y=\"186.50216\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"466.265485\" xlink:href=\"#m924bb13575\" y=\"186.752903\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"473.605301\" xlink:href=\"#m924bb13575\" y=\"186.953488\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"480.945118\" xlink:href=\"#m924bb13575\" y=\"187.113948\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"488.284935\" xlink:href=\"#m924bb13575\" y=\"187.242309\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#333333;\" x=\"495.624751\" xlink:href=\"#m924bb13575\" y=\"187.344994\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 275.430251 201.025354 \n",
       "L 275.430251 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 495.624751 201.025354 \n",
       "L 495.624751 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 275.430251 201.025354 \n",
       "L 495.624751 201.025354 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 275.430251 15.250056 \n",
       "L 495.624751 15.250056 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path clip-path=\"url(#p465bd74639)\" d=\"M 282.770068 86.15077 \n",
       "L 290.109884 110.220288 \n",
       "L 297.449701 133.787897 \n",
       "L 304.789518 152.326715 \n",
       "L 312.129334 165.458014 \n",
       "L 319.469151 174.180907 \n",
       "L 326.808968 179.719642 \n",
       "L 334.148785 183.115941 \n",
       "L 341.488601 185.139013 \n",
       "L 348.828418 186.313693 \n",
       "L 356.168235 186.979772 \n",
       "L 363.508051 187.348831 \n",
       "L 370.847868 187.548552 \n",
       "L 378.187685 187.653938 \n",
       "L 385.527501 187.707987 \n",
       "L 392.867318 187.73478 \n",
       "L 400.207135 187.747496 \n",
       "L 407.546951 187.753174 \n",
       "L 414.886768 187.755473 \n",
       "L 422.226585 187.756238 \n",
       "L 429.566401 187.756364 \n",
       "L 436.906218 187.756265 \n",
       "L 444.246035 187.756115 \n",
       "L 451.585851 187.75598 \n",
       "L 458.925668 187.755878 \n",
       "L 466.265485 187.755807 \n",
       "L 473.605301 187.755761 \n",
       "L 480.945118 187.755732 \n",
       "L 488.284935 187.755714 \n",
       "L 495.624751 187.755703 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_51\">\n",
       "    <!-- ARMA(2,1) example, optimal signal with i.i.d. noise -->\n",
       "    <g transform=\"translate(282.303287 9.250056)scale(0.09 -0.09)\">\n",
       "     <defs>\n",
       "      <path d=\"M 73.203125 12.234375 \n",
       "C 73.203125 4.3125 72.796875 3.609375 68.09375 3.203125 \n",
       "L 64.703125 2.90625 \n",
       "L 64.703125 0 \n",
       "C 69.296875 0 72.296875 0 77.5 0 \n",
       "C 83.09375 0 86.703125 0 92.59375 0 \n",
       "L 92.59375 3.203125 \n",
       "L 87.796875 3.203125 \n",
       "C 83.203125 3.203125 82.703125 4 82.703125 11.96875 \n",
       "L 82.703125 57.234375 \n",
       "C 82.703125 65.09375 83.203125 66 87.796875 66 \n",
       "L 92 66.5 \n",
       "L 92 69.3125 \n",
       "C 84.40625 69.3125 84.40625 69.3125 82.703125 69.3125 \n",
       "C 81.203125 69.3125 81.203125 69.3125 73.203125 69.3125 \n",
       "L 47 13.8125 \n",
       "L 20.59375 69.3125 \n",
       "C 12.59375 69.3125 12.59375 69.3125 11.09375 69.3125 \n",
       "C 9.59375 69.3125 9.59375 69.3125 1.59375 69.3125 \n",
       "L 1.59375 66.203125 \n",
       "L 6 66.203125 \n",
       "C 10.59375 66.203125 11.09375 65.28125 11.09375 57.40625 \n",
       "L 11.09375 12 \n",
       "C 11.09375 4.109375 10.59375 3.203125 6 3.203125 \n",
       "L 1.59375 3.203125 \n",
       "L 1.59375 0 \n",
       "C 11.5 0 11.5 0 13.203125 0 \n",
       "C 14.703125 0 14.703125 0 25.203125 0 \n",
       "L 25.203125 3.203125 \n",
       "L 20.796875 3.203125 \n",
       "C 16.203125 3.203125 15.703125 4.09375 15.703125 11.96875 \n",
       "L 15.703125 58.09375 \n",
       "L 43.59375 -1 \n",
       "L 45.59375 -1 \n",
       "C 46.296875 0.5 46.90625 2.09375 47.5 3.59375 \n",
       "C 49.09375 7.5 50.296875 10.28125 51 11.6875 \n",
       "L 68.796875 49.484375 \n",
       "C 70.203125 52.390625 71.40625 54.6875 73.203125 58.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-77\"/>\n",
       "      <path d=\"M 1.59375 2.5 \n",
       "L 1.59375 0 \n",
       "C 20.296875 0 20.296875 0 23.90625 0 \n",
       "C 27.5 0 27.5 0 46.796875 0 \n",
       "C 46.59375 1.953125 46.59375 2.90625 46.59375 4.203125 \n",
       "C 46.59375 5.4375 46.59375 6.359375 46.796875 8.421875 \n",
       "C 35.296875 8.421875 30.703125 8.421875 12.203125 8.421875 \n",
       "L 30.40625 27.515625 \n",
       "C 40.09375 37.71875 43.09375 43.171875 43.09375 50.59375 \n",
       "C 43.09375 61.96875 35.296875 69 22.59375 69 \n",
       "C 15.40625 69 10.5 67 5.59375 62.015625 \n",
       "L 3.90625 48.421875 \n",
       "L 6.796875 48.421875 \n",
       "L 8.09375 53.015625 \n",
       "C 9.703125 58.796875 13.296875 61.296875 20 61.296875 \n",
       "C 28.59375 61.296875 34.09375 55.890625 34.09375 47.421875 \n",
       "C 34.09375 39.921875 29.90625 32.546875 18.59375 20.5625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-50\"/>\n",
       "      <path d=\"M 6.703125 56 \n",
       "L 7.703125 56 \n",
       "L 20.59375 61.8125 \n",
       "C 20.703125 61.90625 20.796875 61.90625 20.90625 61.90625 \n",
       "C 21.5 61.90625 21.703125 61.015625 21.703125 58.609375 \n",
       "L 21.703125 9.578125 \n",
       "C 21.703125 4.3125 20.59375 3.203125 15.203125 3.203125 \n",
       "L 9.59375 3.203125 \n",
       "L 9.59375 0 \n",
       "C 25 0 25 0 26.09375 0 \n",
       "C 27.40625 0 29.59375 0 33 0 \n",
       "C 34.203125 0 37.703125 0 41.796875 0 \n",
       "L 41.796875 3.203125 \n",
       "L 36.59375 3.203125 \n",
       "C 31.09375 3.203125 30.09375 4.3125 30.09375 9.5625 \n",
       "L 30.09375 69.421875 \n",
       "L 28.703125 69.921875 \n",
       "C 22.203125 66.515625 15.09375 63.515625 6 60.3125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-49\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-65\"/>\n",
       "     <use transform=\"translate(77.50837 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-82\"/>\n",
       "     <use transform=\"translate(144.058064 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-77\"/>\n",
       "     <use transform=\"translate(238.304265 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-65\"/>\n",
       "     <use transform=\"translate(315.812636 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-40\"/>\n",
       "     <use transform=\"translate(348.987865 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-50\"/>\n",
       "     <use transform=\"translate(398.801066 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(423.707666 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "     <use transform=\"translate(473.520867 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-41\"/>\n",
       "     <use transform=\"translate(531.602697 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(579.322992 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-120\"/>\n",
       "     <use transform=\"translate(630.729339 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(680.542539 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(768.512214 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(828.386607 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(857.376969 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(905.097264 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-44\"/>\n",
       "     <use transform=\"translate(954.910465 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1009.306045 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(1069.180438 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1101.657526 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1130.647888 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(1218.617562 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1268.430763 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(1322.327724 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(1364.569191 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1393.559552 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "     <use transform=\"translate(1448.951229 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(1506.93329 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1556.74649 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(1610.643452 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "     <use transform=\"translate(1693.731545 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1722.721906 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1755.198994 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(1838.087655 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1867.078017 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(1891.984617 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1920.974978 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(1945.881579 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "     <use transform=\"translate(2006.753209 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(2062.543842 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(2120.525903 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(2174.921483 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(2203.911844 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(2246.153311 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_6\">\n",
       "    <g clip-path=\"url(#p465bd74639)\">\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"282.770068\" xlink:href=\"#mc598e07aaf\" y=\"86.15077\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"290.109884\" xlink:href=\"#mc598e07aaf\" y=\"110.220288\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"297.449701\" xlink:href=\"#mc598e07aaf\" y=\"133.787897\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"304.789518\" xlink:href=\"#mc598e07aaf\" y=\"152.326715\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"312.129334\" xlink:href=\"#mc598e07aaf\" y=\"165.458014\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"319.469151\" xlink:href=\"#mc598e07aaf\" y=\"174.180907\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"326.808968\" xlink:href=\"#mc598e07aaf\" y=\"179.719642\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"334.148785\" xlink:href=\"#mc598e07aaf\" y=\"183.115941\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"341.488601\" xlink:href=\"#mc598e07aaf\" y=\"185.139013\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"348.828418\" xlink:href=\"#mc598e07aaf\" y=\"186.313693\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"356.168235\" xlink:href=\"#mc598e07aaf\" y=\"186.979772\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"363.508051\" xlink:href=\"#mc598e07aaf\" y=\"187.348831\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"370.847868\" xlink:href=\"#mc598e07aaf\" y=\"187.548552\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"378.187685\" xlink:href=\"#mc598e07aaf\" y=\"187.653938\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"385.527501\" xlink:href=\"#mc598e07aaf\" y=\"187.707987\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"392.867318\" xlink:href=\"#mc598e07aaf\" y=\"187.73478\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"400.207135\" xlink:href=\"#mc598e07aaf\" y=\"187.747496\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"407.546951\" xlink:href=\"#mc598e07aaf\" y=\"187.753174\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"414.886768\" xlink:href=\"#mc598e07aaf\" y=\"187.755473\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"422.226585\" xlink:href=\"#mc598e07aaf\" y=\"187.756238\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"429.566401\" xlink:href=\"#mc598e07aaf\" y=\"187.756364\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"436.906218\" xlink:href=\"#mc598e07aaf\" y=\"187.756265\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"444.246035\" xlink:href=\"#mc598e07aaf\" y=\"187.756115\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"451.585851\" xlink:href=\"#mc598e07aaf\" y=\"187.75598\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"458.925668\" xlink:href=\"#mc598e07aaf\" y=\"187.755878\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"466.265485\" xlink:href=\"#mc598e07aaf\" y=\"187.755807\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"473.605301\" xlink:href=\"#mc598e07aaf\" y=\"187.755761\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"480.945118\" xlink:href=\"#mc598e07aaf\" y=\"187.755732\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"488.284935\" xlink:href=\"#mc598e07aaf\" y=\"187.755714\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"495.624751\" xlink:href=\"#mc598e07aaf\" y=\"187.755703\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_2\">\n",
       "    <g id=\"patch_13\">\n",
       "     <path d=\"M 392.806447 65.130987 \n",
       "L 491.624751 65.130987 \n",
       "L 491.624751 19.250056 \n",
       "L 392.806447 19.250056 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_59\">\n",
       "     <path d=\"M 399.206447 28.928806 \n",
       "L 415.206447 28.928806 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_60\">\n",
       "     <g>\n",
       "      <use style=\"stroke:#000000;stroke-width:2.133333;\" x=\"407.206447\" xlink:href=\"#m29e3ba81b2\" y=\"28.928806\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_52\">\n",
       "     <!-- $X_{t}$ to $\\varepsilon_t$ -->\n",
       "     <g transform=\"translate(421.606447 31.728806)scale(0.08 -0.08)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(73.125711 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(124.689443 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(157.166531 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(237.714011 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-35\"/>\n",
       "      <use transform=\"translate(281.848509 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_61\">\n",
       "     <path d=\"M 399.206447 41.255079 \n",
       "L 415.206447 41.255079 \n",
       "\" style=\"fill:none;stroke:#333333;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_62\">\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#333333;stroke-width:1.28;\" x=\"407.206447\" xlink:href=\"#m0bcb217a7c\" y=\"41.255079\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_53\">\n",
       "     <!-- $Y_t=E[X_t|I_t]$ to $\\varepsilon_t$ -->\n",
       "     <g transform=\"translate(421.606447 44.055079)scale(0.08 -0.08)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-89\"/>\n",
       "      <use transform=\"translate(59.676223 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(115.252587 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "      <use transform=\"translate(227.607957 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-69\"/>\n",
       "      <use transform=\"translate(290.969244 0)scale(1.038107)\" xlink:href=\"#CMR10-91\"/>\n",
       "      <use transform=\"translate(323.746385 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(396.872096 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(424.774527 0)scale(1.038107)\" xlink:href=\"#CMSY10-106\"/>\n",
       "      <use transform=\"translate(461.038577 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-73\"/>\n",
       "      <use transform=\"translate(493.915289 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(521.81772 0)scale(1.038107)\" xlink:href=\"#CMR10-93\"/>\n",
       "      <use transform=\"translate(576.761719 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(609.238807 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(689.786287 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-35\"/>\n",
       "      <use transform=\"translate(733.920786 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_63\">\n",
       "     <path d=\"M 399.206447 53.683464 \n",
       "L 415.206447 53.683464 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_64\">\n",
       "     <g>\n",
       "      <use style=\"fill:#666666;stroke:#666666;stroke-width:1.28;\" x=\"407.206447\" xlink:href=\"#m766658308f\" y=\"53.683464\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_54\">\n",
       "     <!-- $Y_t=E[X_t|I_t]$ to $\\psi_t$ -->\n",
       "     <g transform=\"translate(421.606447 56.483464)scale(0.08 -0.08)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-89\"/>\n",
       "      <use transform=\"translate(59.676223 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(115.252587 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "      <use transform=\"translate(227.607957 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-69\"/>\n",
       "      <use transform=\"translate(290.969244 0)scale(1.038107)\" xlink:href=\"#CMR10-91\"/>\n",
       "      <use transform=\"translate(323.746385 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-88\"/>\n",
       "      <use transform=\"translate(396.872096 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(424.774527 0)scale(1.038107)\" xlink:href=\"#CMSY10-106\"/>\n",
       "      <use transform=\"translate(461.038577 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Italic-73\"/>\n",
       "      <use transform=\"translate(493.915289 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "      <use transform=\"translate(521.81772 0)scale(1.038107)\" xlink:href=\"#CMR10-93\"/>\n",
       "      <use transform=\"translate(576.761719 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(609.238807 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(689.786287 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-121\"/>\n",
       "      <use transform=\"translate(754.24452 -14.943915)scale(0.757155)\" xlink:href=\"#URW_Palladio_L_Italic-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p77deb354f5\">\n",
       "   <rect height=\"185.775298\" width=\"220.1945\" x=\"26.786003\" y=\"15.250056\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p465bd74639\">\n",
       "   <rect height=\"185.775298\" width=\"220.1945\" x=\"275.430251\" y=\"15.250056\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 23
    }
   ],
   "cell_type": "code",
   "source": [
    "p1 = plot(1:30,[xirf_ex2a xhatirf_ex2a xhat_noise_ex2a],\n",
    "    title       = \"AR(3) example, optimal signal with i.i.d. noise\",\n",
    "    color             = [:black :gray20 :gray40], markerstrokecolor = [:black :gray20 :gray40],\n",
    "    yticks      = (-0.8:0.4:1.6),\n",
    "    ylim        = (-0.82,1.62))\n",
    "p2 = plot(1:30,[xirf_ex2b xhatirf_ex2b xhat_noise_ex2b],\n",
    "    title       = \"ARMA(2,1) example, optimal signal with i.i.d. noise\",\n",
    "    color       = [:black :gray20 :gray40], markerstrokecolor = [:black :gray20 :gray40],\n",
    "    yticks      = (0:0.1:0.6),\n",
    "    ylim        = (-0.05,0.65))\n",
    "Plots.plot(p1,p2,\n",
    "    layout      = (1,2),\n",
    "    label       = [L\"$X_{t}$ to $\\varepsilon_t$\" L\"$Y_t=E[X_t|I_t]$ to $\\varepsilon_t$\" L\"$Y_t=E[X_t|I_t]$ to $\\psi_t$\"],\n",
    "    marker      = [:circle :circle :star8], markercolor = [:black :false :gray40], markersize  = [3 5 5],\n",
    "    legend      = :topright,\n",
    "    xticks      = (0:2:30),\n",
    "    xlim        = (0,30),\n",
    "    lw          = 1.5,\n",
    "    legendfont  = font(8), guidefont=font(9), titlefont=font(9), tickfont=font(8),\n",
    "    size        = (700,300),\n",
    "    grid        = :off, framestyle = :box)"
   ],
   "metadata": {},
   "execution_count": 23
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Ex. 3: Price-setting with Rational Inattention"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We now replicate the price-setting exercise in MMW (2018) and its comparison with the Woodford (2002) example. This corresponds to Figure (6) in their paper.\n",
    "The model structure is identifcal to our [Example 1](https://github.com/afrouzi/DRIPs.jl/blob/master/examples/notebooks/ex1_pricing_pe_nofeedback.ipynb) (without strategic complementarity) and [Example 2](https://github.com/afrouzi/DRIPs.jl/blob/master/examples/notebooks/ex2_pricing_pe_with_feedback.ipynb) (with strategic complementarity)."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### The Case with No Strategic Complementarity"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Initialize:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ρ   = 0.9;        #persistence of money growth\n",
    "σ_u = 0.1;          #std. deviation of shocks to money growth"
   ],
   "metadata": {},
   "execution_count": 24
  },
  {
   "cell_type": "markdown",
   "source": [
    "Primitives of the DRIP:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.1"
     },
     "metadata": {},
     "execution_count": 25
    }
   ],
   "cell_type": "code",
   "source": [
    "κ   = 0.62;\n",
    "β   = 1.0;\n",
    "A   = [1 ρ; 0 ρ];\n",
    "Q   = σ_u*[1; 1];\n",
    "H   = [1; 0];\n",
    "ω   = 0.1"
   ],
   "metadata": {},
   "execution_count": 25
  },
  {
   "cell_type": "markdown",
   "source": [
    "Solve:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.6196339094366835"
     },
     "metadata": {},
     "execution_count": 26
    }
   ],
   "cell_type": "code",
   "source": [
    "ex_opt   = Drip(κ,β,A,Q,H,fcap=true);\n",
    "capa_opt = DRIPs.capacity(ex_opt) #returns capacity utilized in bits"
   ],
   "metadata": {},
   "execution_count": 26
  },
  {
   "cell_type": "markdown",
   "source": [
    "Measure performance for different values of $\\kappa$:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  206.02 KiB\n  allocs estimate:  1988\n  --------------\n  minimum time:     106.671 μs (0.00% GC)\n  median time:      242.947 μs (0.00% GC)\n  mean time:        442.516 μs (11.83% GC)\n  maximum time:     38.122 ms (0.00% GC)\n  --------------\n  samples:          10000\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 27
    }
   ],
   "cell_type": "code",
   "source": [
    "@benchmark Drip(κ,β,A,Q,H,fcap=true) setup = (κ = 2*rand())"
   ],
   "metadata": {},
   "execution_count": 27
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate IRFs:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "irfs_ex_opt = irfs(ex_opt, T = 12);\n",
    "output_opt  = (irfs_ex_opt.x[1,1,:] - irfs_ex_opt.a[1,1,:]) ;\n",
    "output_opt  = [0;output_opt] ;"
   ],
   "metadata": {},
   "execution_count": 28
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now, to compare with Woodford (2002), assume that firms observe a noisy signal, $S_t = q_t + \\zeta_t$ where $\\zeta_t$ is an idiosyncratic noise. We first define a function to solve the corresponding Kalman filtering problem."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "function K_filtering(A,Q,Ysignal,Σz,Σ0 ; maxit=10000,tol=1e-10,w=1)\n",
    "    err = 1\n",
    "    iter = 0\n",
    "    while (err > tol) & (iter < maxit)\n",
    "        global Knew = Σ0*Ysignal*inv(Ysignal'*Σ0*Ysignal .+ Σz)\n",
    "        global Σp_temp = Σ0 - Knew*Ysignal'*Σ0\n",
    "        global Σ1 = A*Σp_temp*A' + Q*Q'\n",
    "\n",
    "        err     = norm(Σ1 - Σ0,2)/norm(Σ0,2)\n",
    "        Σ0 = w*Σ1 + (1-w)*Σ0\n",
    "\n",
    "        #println(\"Iteration $iter. Difference: $err\")\n",
    "        iter += 1\n",
    "    end\n",
    "\n",
    "    return(Knew,Σ0,Σp_temp)\n",
    "end;"
   ],
   "metadata": {},
   "execution_count": 29
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now find the capacity utilized under Woodford’s formulation such that it yields the same information flow as the optimal signal under ratinoal inattention."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "Ywoodford = [1;0]\n",
    "Σ1_init = ex_opt.ss.Σ_1\n",
    "\n",
    "Σz_new_b  = 0.01\n",
    "Σz_new_u  = 0.1\n",
    "Σz_new    = (Σz_new_b+Σz_new_u)/2\n",
    "for i in 1:10000\n",
    "    (Knew,Σ1_new,Σp_temp) = K_filtering(A,Q,Ywoodford,Σz_new,Σ1_init;w=0.5)\n",
    "    capa_woodford = 0.5*log(det(Σ1_new)/det(Σp_temp))/log(2)\n",
    "\n",
    "    if capa_woodford > capa_opt\n",
    "        global Σz_new_b  = Σz_new\n",
    "    else\n",
    "        global Σz_new_u  = Σz_new\n",
    "    end\n",
    "    global Σz_new    = (Σz_new_b+Σz_new_u)/2\n",
    "    err = abs(capa_woodford - capa_opt)\n",
    "    if err < 1e-5\n",
    "        break\n",
    "    end\n",
    "end"
   ],
   "metadata": {},
   "execution_count": 30
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate impulse responses under Woodford's formulation"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "e_k = 1;\n",
    "x   = zeros(2,12);\n",
    "xhat= zeros(2,12);\n",
    "a   = zeros(2,12);\n",
    "\n",
    "for ii in 1:12\n",
    "    if ii==1\n",
    "        x[:,ii]     = Q*e_k;\n",
    "        xhat[:,ii]  = (Knew*Ywoodford')*(x[:,ii]);\n",
    "    else\n",
    "        x[:,ii]     = A*x[:,ii-1];\n",
    "        xhat[:,ii]  = A*xhat[:,ii-1]+(Knew*Ywoodford')*(x[:,ii]-A*xhat[:,ii-1]);\n",
    "    end\n",
    "    a[:,ii]  .= H'*xhat[:,ii];\n",
    "end\n",
    "\n",
    "output_woodford  = (x[1,:] - a[1,:]) ;\n",
    "output_woodford  = [0;output_woodford] ;"
   ],
   "metadata": {},
   "execution_count": 31
  },
  {
   "cell_type": "markdown",
   "source": [
    "Before plotting the IRFs, we also solve the case with strategic complementarity."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### The Case with Strategic Complementarity"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We now turn to the example with strategic complementarity.\n",
    "As in our [Example 2](https://github.com/afrouzi/DRIPs.jl/blob/master/examples/notebooks/ex2_pricing_pe_with_feedback.ipynb), we first define a function to solve the fixed point with endogenous feedback."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "function ge_drip(ω,β,A,Q,          #primitives of drip except for H because H is endogenous\n",
    "                 α,                #strategic complementarity\n",
    "                 Hq,               #state space rep. of Δq\n",
    "                 L;                #length of truncation\n",
    "                 H0       = Hq,    #optional: initial guess for H (Hq is the true solution when α=0)\n",
    "                 maxit    = 200,   #optional: max number of iterations for GE code\n",
    "                 tol      = 1e-4)  #optional: tolerance for iterations\n",
    "    err   = 1;\n",
    "    iter  = 0;\n",
    "    M     = [zeros(1,L-1) 0; Matrix(I,L-1,L-1) zeros(L-1,1)];\n",
    "    while (err > tol) & (iter < maxit)\n",
    "        if iter == 0\n",
    "            global ge  = Drip(ω,β,A,Q,H0; w=0.9);\n",
    "        else\n",
    "            global ge  = Drip(ω,β,A,Q,H0; Ω0=ge.ss.Ω, Σ0=ge.ss.Σ_1, maxit=100);\n",
    "        end\n",
    "\n",
    "        XFUN(jj) = ((I-ge.ss.K*ge.ss.Y')*ge.A)^jj * (ge.ss.K*ge.ss.Y') * (M')^jj\n",
    "        X = DRIPs.infinitesum(XFUN; maxit=L, start = 0);  #E[x⃗]=X×x⃗\n",
    "\n",
    "        XpFUN(jj) = α^jj * X^(jj)\n",
    "        Xp = DRIPs.infinitesum(XpFUN; maxit=L, start = 0);\n",
    "\n",
    "        H1 = (1-α)*Xp'*Hq;\n",
    "        err= 0.5*norm(H1-H0,2)/norm(H0)+0.5*err;\n",
    "        H0 = H1;\n",
    "\n",
    "        iter += 1;\n",
    "        if iter == maxit\n",
    "            print(\"GE loop hit maxit\\n\")\n",
    "        elseif mod(iter,10) == 0\n",
    "            println(\"Iteration $iter. Difference: $err\")\n",
    "        end\n",
    "\n",
    "    end\n",
    "    print(\" Iteration Done.\\n\")\n",
    "    return(ge)\n",
    "end;"
   ],
   "metadata": {},
   "execution_count": 32
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now, we solve for the optimal signal structure under rational inattention."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Initialize:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "ρ   = 0.9;        #persistence of money growth\n",
    "σ_u = 0.1;        #std. deviation of shocks to money growth\n",
    "α   = 0.85;        #degree of strategic complementarity\n",
    "L   = 40;         #length of truncation\n",
    "Hq  = ρ.^(0:L-1); #state-space rep. of Δq\n",
    "\n",
    "ω   = 0.08;\n",
    "β   = 1 ;\n",
    "A   = [1 zeros(1,L-2) 0; Matrix(I,L-1,L-1) zeros(L-1,1)];\n",
    "M   = [zeros(1,L-1) 0; Matrix(I,L-1,L-1) zeros(L-1,1)]; # shift matrix\n",
    "Q   = [σ_u; zeros(L-1,1)];"
   ],
   "metadata": {},
   "execution_count": 33
  },
  {
   "cell_type": "markdown",
   "source": [
    "Solve:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 10. Difference: 0.0019552334926346503\n",
      " Iteration Done.\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "ex_ge   = ge_drip(ω,β,A,Q,α,Hq,L) ;"
   ],
   "metadata": {},
   "execution_count": 34
  },
  {
   "cell_type": "markdown",
   "source": [
    "Print capacity utilized in with strategic complementarity:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.5830085573346633"
     },
     "metadata": {},
     "execution_count": 35
    }
   ],
   "cell_type": "code",
   "source": [
    "capa_ge = DRIPs.capacity(ge)"
   ],
   "metadata": {},
   "execution_count": 35
  },
  {
   "cell_type": "markdown",
   "source": [
    "Measure performance for random values of ω"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  349.28 MiB\n  allocs estimate:  43572\n  --------------\n  minimum time:     273.563 ms (1.90% GC)\n  median time:      281.564 ms (3.68% GC)\n  mean time:        283.873 ms (3.45% GC)\n  maximum time:     303.029 ms (3.42% GC)\n  --------------\n  samples:          18\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 36
    }
   ],
   "cell_type": "code",
   "source": [
    "using Suppressor\n",
    "@suppress @benchmark ge_drip(ω,β,A,Q,α,Hq,L) setup = (ω = 0.1*rand())"
   ],
   "metadata": {},
   "execution_count": 36
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate IRFs"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "geirfs  = irfs(ex_ge,T = L) ;\n",
    "\n",
    "dq = diagm(Hq)*geirfs.x[1,1,:];\n",
    "q  = inv(I-M)*dq ;\n",
    "output_ge_opt  = q - geirfs.a[1,1,:] ;\n",
    "output_ge_opt  = [0;output_ge_opt] ;"
   ],
   "metadata": {},
   "execution_count": 37
  },
  {
   "cell_type": "markdown",
   "source": [
    "Finally, to compare with the IRFs under Woodford (2002)’s specification, we find signal noise such that it yields the same information flow as the optimal signal structure."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "Ywoodford_ge = Hq\n",
    "Σ1_init  = ex_ge.ss.Σ_1\n",
    "\n",
    "Σz_new_b = 0.05\n",
    "Σz_new_u = 0.12\n",
    "Σz_new   = (Σz_new_b+Σz_new_u)/2\n",
    "\n",
    "for i in 1:10000\n",
    "    (Knew,Σ1_new,Σp_temp) = K_filtering(A,Q,Ywoodford_ge,Σz_new,Σ1_init;w=0.5)\n",
    "    capa_woodford = 0.5*log(det(Σ1_new)/det(Σp_temp))/log(2)\n",
    "\n",
    "    if capa_woodford > capa_ge\n",
    "        global Σz_new_b  = Σz_new\n",
    "    else\n",
    "        global Σz_new_u  = Σz_new\n",
    "    end\n",
    "    global Σz_new    = (Σz_new_b+Σz_new_u)/2\n",
    "    err = abs(capa_woodford - capa_ge)\n",
    "    if err < 1e-5\n",
    "        break\n",
    "    end\n",
    "end\n",
    "\n",
    "XFUN(jj) = ((I-Knew*Ywoodford_ge')*A)^jj * (Knew*Ywoodford_ge') * (M')^jj\n",
    "X = DRIPs.infinitesum(XFUN; maxit=L, start = 0);  #E[x⃗]=X×x⃗\n",
    "\n",
    "XpFUN(jj) = α^jj * X^(jj)\n",
    "Xp = DRIPs.infinitesum(XpFUN; maxit=L, start = 0);\n",
    "\n",
    "H1 = (1-α)*Xp'*Hq;"
   ],
   "metadata": {},
   "execution_count": 38
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate impurse responses under Woodford's signal"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "e_k = 1;\n",
    "x   = zeros(40,40);\n",
    "xhat= zeros(40,40);\n",
    "a   = zeros(1,40);\n",
    "\n",
    "for ii in 1:40\n",
    "    if ii==1\n",
    "        x[:,ii]     = Q*e_k;\n",
    "        xhat[:,ii]  = (Knew*Ywoodford_ge')*(x[:,ii]);\n",
    "    else\n",
    "        x[:,ii]     = A*x[:,ii-1];\n",
    "        xhat[:,ii]  = A*xhat[:,ii-1]+(Knew*Ywoodford_ge')*(x[:,ii]-A*xhat[:,ii-1]);\n",
    "    end\n",
    "    a[:,ii]  .= H1'*xhat[:,ii];\n",
    "end\n",
    "dq = diagm(Hq)*x[1,:];\n",
    "q  = inv(I-M)*dq ;\n",
    "output_ge_woodford  = q - a[1,:] ;\n",
    "output_ge_woodford = [0;output_ge_woodford] ;"
   ],
   "metadata": {},
   "execution_count": 39
  },
  {
   "cell_type": "markdown",
   "source": [
    "We now have all the IRFs to replicate Figure (6)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Replication of Figure (6)"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=4}",
      "image/png": "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",
      "text/html": [
       "<img src=\"data:image/png;base64,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\" />"
      ],
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 504 288\" width=\"504pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-09-27T00:18:46.889668</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 288 \n",
       "L 504 288 \n",
       "L 504 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 25.170705 116.081477 \n",
       "L 495.748501 116.081477 \n",
       "L 495.748501 15.962883 \n",
       "L 25.170705 15.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path clip-path=\"url(#p9eef9a79b4)\" d=\"M 25.170705 110.717981 \n",
       "L 64.385522 34.98704 \n",
       "L 103.600338 26.876176 \n",
       "L 142.815154 46.767675 \n",
       "L 182.029971 71.881694 \n",
       "L 221.244787 92.102179 \n",
       "L 260.459603 104.914035 \n",
       "L 299.67442 111.389363 \n",
       "L 338.889236 113.673917 \n",
       "L 378.104052 113.734549 \n",
       "L 417.318869 112.93073 \n",
       "L 456.533685 112.017705 \n",
       "L 495.748501 111.313337 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "C 0.663008 2.5 1.29895 2.236584 1.767767 1.767767 \n",
       "C 2.236584 1.29895 2.5 0.663008 2.5 0 \n",
       "C 2.5 -0.663008 2.236584 -1.29895 1.767767 -1.767767 \n",
       "C 1.29895 -2.236584 0.663008 -2.5 0 -2.5 \n",
       "C -0.663008 -2.5 -1.29895 -2.236584 -1.767767 -1.767767 \n",
       "C -2.236584 -1.29895 -2.5 -0.663008 -2.5 0 \n",
       "C -2.5 0.663008 -2.236584 1.29895 -1.767767 1.767767 \n",
       "C -1.29895 2.236584 -0.663008 2.5 0 2.5 \n",
       "z\n",
       "\" id=\"m5e71449107\" style=\"stroke:#000000;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p9eef9a79b4)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"25.170705\" xlink:href=\"#m5e71449107\" y=\"110.717981\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"64.385522\" xlink:href=\"#m5e71449107\" y=\"34.98704\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"103.600338\" xlink:href=\"#m5e71449107\" y=\"26.876176\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"142.815154\" xlink:href=\"#m5e71449107\" y=\"46.767675\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"182.029971\" xlink:href=\"#m5e71449107\" y=\"71.881694\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"221.244787\" xlink:href=\"#m5e71449107\" y=\"92.102179\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"260.459603\" xlink:href=\"#m5e71449107\" y=\"104.914035\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"299.67442\" xlink:href=\"#m5e71449107\" y=\"111.389363\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"338.889236\" xlink:href=\"#m5e71449107\" y=\"113.673917\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"378.104052\" xlink:href=\"#m5e71449107\" y=\"113.734549\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"417.318869\" xlink:href=\"#m5e71449107\" y=\"112.93073\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"456.533685\" xlink:href=\"#m5e71449107\" y=\"112.017705\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"495.748501\" xlink:href=\"#m5e71449107\" y=\"111.313337\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -2.5 \n",
       "\" id=\"mc79b8dce58\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(22.610705 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"64.385522\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathregular{1}$ -->\n",
       "      <g transform=\"translate(61.825522 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"103.600338\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(101.040338 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"142.815154\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathregular{3}$ -->\n",
       "      <g transform=\"translate(140.255154 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"182.029971\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathregular{4}$ -->\n",
       "      <g transform=\"translate(179.469971 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"221.244787\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathregular{5}$ -->\n",
       "      <g transform=\"translate(218.684787 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"260.459603\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(257.899603 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"299.67442\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathregular{7}$ -->\n",
       "      <g transform=\"translate(297.11442 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"338.889236\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathregular{8}$ -->\n",
       "      <g transform=\"translate(336.329236 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.104052\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathregular{9}$ -->\n",
       "      <g transform=\"translate(375.544052 125.660227)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"417.318869\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathregular{10}$ -->\n",
       "      <g transform=\"translate(412.198869 125.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"456.533685\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathregular{11}$ -->\n",
       "      <g transform=\"translate(451.413685 125.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"495.748501\" xlink:href=\"#mc79b8dce58\" y=\"116.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(490.628501 125.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- Time -->\n",
       "     <g transform=\"translate(250.547395 137.739387)scale(0.09 -0.09)\">\n",
       "      <defs>\n",
       "       <path d=\"M 25.5 64.28125 \n",
       "C 25.796875 60.875 25.90625 58.578125 25.90625 54.265625 \n",
       "L 25.90625 11.921875 \n",
       "C 25.90625 4 25.40625 3.203125 20.796875 3.203125 \n",
       "L 16 3.203125 \n",
       "L 16 0 \n",
       "C 21.90625 0 25.40625 0 30.59375 0 \n",
       "C 35.796875 0 39.40625 0 45.296875 0 \n",
       "L 45.296875 3.203125 \n",
       "L 40.5 3.203125 \n",
       "C 35.90625 3.203125 35.40625 4 35.40625 11.921875 \n",
       "L 35.40625 54.265625 \n",
       "C 35.40625 58.78125 35.5 60.984375 35.796875 64.28125 \n",
       "L 51.296875 64.28125 \n",
       "C 54.09375 64.28125 55.203125 63.390625 55.296875 61 \n",
       "L 55.703125 53.125 \n",
       "L 58.796875 53.125 \n",
       "C 58.796875 59.53125 59 63.375 59.5 69 \n",
       "C 52.296875 69 49 69 46.203125 69 \n",
       "C 42.296875 69 39.40625 69 37.90625 69 \n",
       "L 22.09375 69 \n",
       "C 21.09375 69 15.703125 69 8.59375 69 \n",
       "L 1.796875 69 \n",
       "C 2.296875 63.375 2.5 59.53125 2.5 53.125 \n",
       "L 5.59375 53.125 \n",
       "L 6 61 \n",
       "C 6.09375 63.390625 7.203125 64.28125 10 64.28125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-84\"/>\n",
       "       <path d=\"M 18.796875 46.765625 \n",
       "L 17.90625 47.171875 \n",
       "C 12.796875 45.0625 7.59375 43.640625 2.296875 43.046875 \n",
       "L 2.296875 40.25 \n",
       "L 6 40.25 \n",
       "C 10 40.25 10.40625 39.546875 10.40625 32.890625 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.171875 \n",
       "z\n",
       "M 14.203125 69 \n",
       "C 11.203125 69 8.59375 66.390625 8.59375 63.375 \n",
       "C 8.59375 60.46875 11.203125 57.875 14.09375 57.875 \n",
       "C 17 57.875 19.703125 60.46875 19.703125 63.375 \n",
       "C 19.703125 66.1875 17 69 14.203125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-105\"/>\n",
       "       <path d=\"M 1.796875 40.078125 \n",
       "L 5.5 40.078125 \n",
       "C 9.5 40.078125 9.90625 39.375 9.90625 32.71875 \n",
       "L 9.90625 10.046875 \n",
       "C 9.90625 3.703125 9.59375 3 6.203125 3 \n",
       "L 1.59375 3 \n",
       "L 1.59375 -0.109375 \n",
       "C 11.203125 -0.109375 11.5 -0.109375 14.296875 -0.109375 \n",
       "C 17.09375 -0.109375 19.703125 -0.109375 26.203125 -0.109375 \n",
       "L 26.203125 2.796875 \n",
       "L 22 3.203125 \n",
       "C 18.59375 3.203125 18.296875 3.90625 18.296875 10.21875 \n",
       "L 18.296875 31.46875 \n",
       "C 18.296875 35.96875 24.90625 40.875 30.90625 40.875 \n",
       "C 36.296875 40.875 40 35.734375 40 28.09375 \n",
       "L 40 10.046875 \n",
       "C 40 3.703125 39.703125 3 36.296875 3 \n",
       "L 31.703125 3 \n",
       "L 31.703125 -0.109375 \n",
       "C 41.703125 -0.109375 41.703125 -0.109375 44.203125 -0.109375 \n",
       "C 46.703125 -0.109375 46.703125 -0.109375 56.703125 -0.109375 \n",
       "L 56.703125 3 \n",
       "L 52.09375 3 \n",
       "C 48.703125 3 48.40625 3.703125 48.40625 10.046875 \n",
       "L 48.40625 31.421875 \n",
       "C 48.40625 35.9375 55 40.875 61 40.875 \n",
       "C 66.40625 40.875 70.09375 35.796875 70.09375 28.21875 \n",
       "L 70.09375 -0.109375 \n",
       "C 76.203125 -0.109375 76.296875 -0.109375 78 -0.109375 \n",
       "C 79.296875 -0.109375 79.296875 -0.109375 86.90625 -0.109375 \n",
       "L 86.90625 3 \n",
       "L 82.203125 3 \n",
       "C 78.796875 3 78.5 3.703125 78.5 10.046875 \n",
       "L 78.5 30.78125 \n",
       "C 78.5 40.75 72.703125 47 63.5 47 \n",
       "C 60 47 57.09375 46.09375 55.296875 44.484375 \n",
       "L 47.703125 37.6875 \n",
       "C 44.5 44.28125 40.40625 47 33.5 47 \n",
       "C 29.796875 47 27 46.09375 25.203125 44.484375 \n",
       "L 18.296875 38.078125 \n",
       "L 18.296875 46.59375 \n",
       "L 17.40625 47 \n",
       "C 12.296875 44.890625 7.09375 43.484375 1.796875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-109\"/>\n",
       "       <path d=\"M 43.703125 6.984375 \n",
       "L 42.40625 7.984375 \n",
       "C 36 4.203125 33.703125 3.3125 29.40625 3.3125 \n",
       "C 22.90625 3.3125 17.5 6.21875 14.703125 11.109375 \n",
       "C 12.796875 14.390625 12.09375 17.203125 11.90625 23 \n",
       "L 26.5 23 \n",
       "C 33.40625 23 37.703125 23 44.59375 24.125 \n",
       "C 44.703125 25.53125 44.796875 26.453125 44.796875 27.671875 \n",
       "C 44.796875 39.375 37.40625 47 26.203125 47 \n",
       "C 22.5 47 18.203125 45.6875 14.09375 43.28125 \n",
       "C 5.90625 38.578125 2.59375 32.359375 2.59375 21.9375 \n",
       "C 2.59375 15.625 4.09375 10.21875 6.796875 6.40625 \n",
       "C 10.796875 1.109375 17.5 -2 25 -2 \n",
       "C 28.703125 -2 32.40625 -1.203125 36.5 0.578125 \n",
       "C 39.203125 1.6875 41.296875 2.984375 41.703125 3.59375 \n",
       "z\n",
       "M 35.90625 26.40625 \n",
       "C 30.703125 26.40625 28.296875 26.40625 24.703125 26.40625 \n",
       "C 20.09375 26.40625 17.5 26.40625 12.09375 26.90625 \n",
       "C 12.09375 31.671875 12.5 33.890625 13.796875 36.515625 \n",
       "C 15.90625 40.96875 20.203125 43.6875 25 43.6875 \n",
       "C 28.296875 43.6875 30.90625 42.359375 32.703125 39.59375 \n",
       "C 34.90625 36.234375 35.59375 33.265625 35.90625 26.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-101\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-84\"/>\n",
       "      <use transform=\"translate(55.591109 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(84.581471 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(172.551145 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 2.5 0 \n",
       "\" id=\"mdd49cafa1d\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"110.717981\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathregular{0.00}$ -->\n",
       "      <g transform=\"translate(3.830705 113.757356)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"92.83966\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- $\\mathregular{0.01}$ -->\n",
       "      <g transform=\"translate(3.830705 95.879035)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"74.96134\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- $\\mathregular{0.02}$ -->\n",
       "      <g transform=\"translate(3.830705 78.000715)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"57.08302\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- $\\mathregular{0.03}$ -->\n",
       "      <g transform=\"translate(3.830705 60.122395)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"39.204699\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- $\\mathregular{0.04}$ -->\n",
       "      <g transform=\"translate(3.830705 42.244074)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"21.326379\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- $\\mathregular{0.05}$ -->\n",
       "      <g transform=\"translate(3.830705 24.365754)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#p9eef9a79b4)\" d=\"M 25.170705 110.717981 \n",
       "L 64.385522 66.990758 \n",
       "L 103.600338 59.89411 \n",
       "L 142.815154 68.31323 \n",
       "L 182.029971 80.803749 \n",
       "L 221.244787 92.112282 \n",
       "L 260.459603 100.495105 \n",
       "L 299.67442 105.927934 \n",
       "L 338.889236 109.047194 \n",
       "L 378.104052 110.601858 \n",
       "L 417.318869 111.219866 \n",
       "L 456.533685 111.345581 \n",
       "L 495.748501 111.256133 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_2\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 1.767767 1.767767 \n",
       "L 0.92388 0.382683 \n",
       "L 2.5 0 \n",
       "L 0.92388 -0.382683 \n",
       "L 1.767767 -1.767767 \n",
       "L 0.382683 -0.92388 \n",
       "L 0 -2.5 \n",
       "L -0.382683 -0.92388 \n",
       "L -1.767767 -1.767767 \n",
       "L -0.92388 -0.382683 \n",
       "L -2.5 -0 \n",
       "L -0.92388 0.382683 \n",
       "L -1.767767 1.767767 \n",
       "L -0.382683 0.92388 \n",
       "L -0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 0 2.5 \n",
       "\" id=\"m753be197b6\" style=\"stroke:#666666;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p9eef9a79b4)\">\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"25.170705\" xlink:href=\"#m753be197b6\" y=\"110.717981\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"64.385522\" xlink:href=\"#m753be197b6\" y=\"66.990758\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"103.600338\" xlink:href=\"#m753be197b6\" y=\"59.89411\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"142.815154\" xlink:href=\"#m753be197b6\" y=\"68.31323\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"182.029971\" xlink:href=\"#m753be197b6\" y=\"80.803749\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"221.244787\" xlink:href=\"#m753be197b6\" y=\"92.112282\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"260.459603\" xlink:href=\"#m753be197b6\" y=\"100.495105\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"299.67442\" xlink:href=\"#m753be197b6\" y=\"105.927934\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"338.889236\" xlink:href=\"#m753be197b6\" y=\"109.047194\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"378.104052\" xlink:href=\"#m753be197b6\" y=\"110.601858\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"417.318869\" xlink:href=\"#m753be197b6\" y=\"111.219866\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"456.533685\" xlink:href=\"#m753be197b6\" y=\"111.345581\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"495.748501\" xlink:href=\"#m753be197b6\" y=\"111.256133\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 25.170705 116.081477 \n",
       "L 25.170705 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 495.748501 116.081477 \n",
       "L 495.748501 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 25.170705 116.081477 \n",
       "L 495.748501 116.081477 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 25.170705 15.962883 \n",
       "L 495.748501 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_21\">\n",
       "    <!-- The case of $\\xi=1$ -->\n",
       "    <g transform=\"translate(222.803428 9.962883)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path d=\"M 0.703125 66.375 \n",
       "L 6.296875 66.375 \n",
       "C 8.09375 66.375 8.796875 65.265625 8.796875 62.25 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "L 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 72.078125 \n",
       "L 16.296875 72.890625 \n",
       "C 11.90625 71.1875 8.59375 70.375 0.703125 69.171875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-104\"/>\n",
       "      <path d=\"M 39.90625 31.15625 \n",
       "C 39.90625 35.765625 40.40625 39.875 41.296875 43.484375 \n",
       "C 37.296875 45.890625 33.796875 47 29.703125 47 \n",
       "C 24.90625 47 19.296875 45.09375 13.296875 41.28125 \n",
       "C 6.296875 36.875 2.59375 29.859375 2.59375 21.046875 \n",
       "C 2.59375 7.515625 12.09375 -2 25.5 -2 \n",
       "C 30.703125 -2 38.203125 -0.09375 39.203125 1.40625 \n",
       "L 41.296875 4.609375 \n",
       "L 40.296875 6.109375 \n",
       "C 36.59375 4.109375 33.40625 3.203125 29.796875 3.203125 \n",
       "C 18.703125 3.203125 11.40625 11.828125 11.40625 25.046875 \n",
       "C 11.40625 35.765625 16.40625 41.78125 25.40625 41.78125 \n",
       "C 29.796875 41.78125 34.59375 39.78125 36.40625 37.28125 \n",
       "L 37.09375 31.15625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-99\"/>\n",
       "      <path d=\"M 32.40625 8.40625 \n",
       "L 31.90625 -0.015625 \n",
       "C 38.40625 -0.015625 38.40625 -0.015625 39.703125 -0.015625 \n",
       "C 40.203125 -0.015625 42.703125 -0.015625 47.09375 -0.015625 \n",
       "L 47.09375 3 \n",
       "L 43.203125 3 \n",
       "C 40.796875 3 40.40625 3.8125 40.40625 8.71875 \n",
       "L 40.40625 27.046875 \n",
       "C 40.40625 41.6875 36.203125 47 24.59375 47 \n",
       "C 20.296875 47 16.296875 45.890625 12.5 43.609375 \n",
       "L 7.203125 40.390625 \n",
       "L 7.203125 33.921875 \n",
       "L 9.796875 33.21875 \n",
       "L 11.09375 36.296875 \n",
       "C 13.203125 40.984375 14.203125 41.6875 18.796875 41.6875 \n",
       "C 28.203125 41.6875 32.09375 37.984375 32.40625 28.9375 \n",
       "L 22.5 27.125 \n",
       "C 8.90625 24.640625 3.203125 19.953125 3.203125 11.28125 \n",
       "C 3.203125 3.5 7.90625 -1 15.796875 -1 \n",
       "C 17.59375 -1 19.296875 -0.703125 20 -0.203125 \n",
       "z\n",
       "M 32.40625 12.59375 \n",
       "C 29.5 8.5 23.203125 4.71875 19.296875 4.71875 \n",
       "C 15.296875 4.71875 11.796875 8.40625 11.796875 12.6875 \n",
       "C 11.796875 16.375 13.796875 19.859375 16.796875 21.75 \n",
       "C 19.296875 23.25 24.796875 24.640625 32.40625 25.75 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-97\"/>\n",
       "      <path d=\"M 4.09375 14.328125 \n",
       "C 4.09375 7.421875 3.796875 4.40625 3 0.40625 \n",
       "C 8.203125 -1.296875 12.09375 -2 16.703125 -2 \n",
       "C 29.796875 -2 39.09375 5.015625 39.09375 14.828125 \n",
       "C 39.09375 17.9375 38.203125 20.234375 36.296875 22.25 \n",
       "C 33.703125 24.75 30.40625 25.953125 21.59375 27.65625 \n",
       "C 13.40625 29.265625 10.703125 31.265625 10.703125 35.875 \n",
       "C 10.703125 40.875 14.203125 43.6875 20.296875 43.6875 \n",
       "C 27 43.6875 32.09375 40.1875 32.09375 35.46875 \n",
       "L 32.09375 33.171875 \n",
       "L 34.90625 33.171875 \n",
       "C 35 38.984375 35.09375 41.375 35.40625 44.484375 \n",
       "C 30.09375 46.296875 26.5 47 22.40625 47 \n",
       "C 10.796875 47 3.703125 41.484375 3.703125 32.46875 \n",
       "C 3.703125 27.65625 5.90625 24.25 10.5 22.140625 \n",
       "C 13.203125 20.9375 18.5 19.34375 25.296875 17.828125 \n",
       "C 29.796875 16.828125 31.703125 14.734375 31.703125 10.921875 \n",
       "C 31.703125 5.515625 26.703125 1.703125 19.59375 1.703125 \n",
       "C 12.296875 1.703125 7.09375 5.203125 7.09375 10.21875 \n",
       "L 7.09375 14.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-115\"/>\n",
       "      <path d=\"M 27.90625 47 \n",
       "C 13.296875 47 3.203125 36.671875 3.203125 21.75 \n",
       "C 3.203125 7.609375 12.09375 -2 25 -2 \n",
       "C 40.40625 -2 51.40625 8.71875 51.40625 23.75 \n",
       "C 51.40625 37.28125 41.59375 47 27.90625 47 \n",
       "z\n",
       "M 26.09375 43.6875 \n",
       "C 35.296875 43.6875 42.09375 33.671875 42.09375 20.046875 \n",
       "C 42.09375 8.515625 37 1.296875 28.90625 1.296875 \n",
       "C 19.09375 1.296875 12.5 10.921875 12.5 25.15625 \n",
       "C 12.5 37.171875 17.296875 43.6875 26.09375 43.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-111\"/>\n",
       "      <path d=\"M 34.09375 71.890625 \n",
       "C 32 72.6875 30.796875 73 29.5 73 \n",
       "C 26.296875 73 22.796875 71.296875 20.59375 68.8125 \n",
       "L 14.796875 62.265625 \n",
       "C 11.90625 58.984375 10.59375 54.53125 10.59375 47.96875 \n",
       "L 10.59375 43.796875 \n",
       "L 3.703125 40.6875 \n",
       "L 3.703125 38.6875 \n",
       "L 10.59375 38.6875 \n",
       "L 10.59375 10.171875 \n",
       "C 10.59375 3.8125 10.296875 3.109375 6.90625 3.109375 \n",
       "L 2.296875 3.109375 \n",
       "L 2.296875 0 \n",
       "C 12.296875 0 12.296875 0 14.796875 0 \n",
       "C 17.296875 0 17.296875 0 27.296875 0 \n",
       "L 27.296875 3.109375 \n",
       "L 22.703125 3.109375 \n",
       "C 19.296875 3.109375 19 3.828125 19 10.203125 \n",
       "L 19 38.890625 \n",
       "L 31.40625 38.890625 \n",
       "L 32.09375 44 \n",
       "L 19 44 \n",
       "L 19 52.34375 \n",
       "C 19 63.640625 20.296875 66.375 26 66.375 \n",
       "C 28.703125 66.375 30.5 65.6875 32.90625 63.609375 \n",
       "L 34.09375 64.203125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-102\"/>\n",
       "      <path d=\"M 12.09375 57.90625 \n",
       "L 14.203125 57.90625 \n",
       "L 17.203125 63.59375 \n",
       "C 18.90625 63.96875 19.796875 64.078125 21.09375 64.078125 \n",
       "C 22.5 64.078125 23.59375 63.96875 25.59375 63.59375 \n",
       "C 29.203125 62.90625 31.703125 62.609375 34 62.609375 \n",
       "C 29.40625 59.3125 26.59375 56.328125 26.59375 52.640625 \n",
       "C 26.59375 50.75 27.09375 49.234375 28.203125 47.953125 \n",
       "C 23.703125 47.546875 17.203125 43.96875 12.203125 39.484375 \n",
       "C 6.703125 34.59375 2.90625 24.125 2.90625 13.65625 \n",
       "C 2.90625 4.09375 7.09375 -1 15.09375 -1 \n",
       "C 17.40625 -1 25.59375 0 28.59375 0 \n",
       "C 32 0 33.703125 -1.78125 33.703125 -5.125 \n",
       "C 33.703125 -5.8125 33.59375 -6.390625 33.5 -7.1875 \n",
       "C 31.09375 -14.15625 26.09375 -18 21.703125 -18 \n",
       "C 18.203125 -18 15.5 -15.34375 15.5 -11.90625 \n",
       "C 15.5 -11.421875 15.59375 -10.640625 15.703125 -9.75 \n",
       "L 14.703125 -9.34375 \n",
       "L 9.90625 -12.703125 \n",
       "C 9.796875 -13.390625 9.796875 -14 9.796875 -14.484375 \n",
       "C 9.796875 -18.734375 13.5 -22.203125 18 -22.203125 \n",
       "C 23.59375 -22.203125 30.5 -17.4375 35 -11.78125 \n",
       "C 38.59375 -7.296875 39.296875 -2.328125 39.296875 1.15625 \n",
       "C 39.296875 2.046875 39 2.828125 38.40625 3.4375 \n",
       "C 37 5.015625 34.09375 5.015625 32 5.015625 \n",
       "C 29.09375 5.015625 22.203125 4.125 18.90625 4.125 \n",
       "C 13.296875 4.125 10.5 8.125 10.5 16.0625 \n",
       "C 10.5 26.875 14 37.296875 18.90625 41.09375 \n",
       "C 21 42.703125 23.59375 44.015625 26.703125 44.015625 \n",
       "C 29 44.015625 30.90625 43.40625 32.703125 42.8125 \n",
       "C 33.59375 42.5 36.5 42 37.40625 42 \n",
       "C 38.703125 42 41.203125 42 41.59375 42.109375 \n",
       "C 41.59375 42.640625 42.296875 45.140625 43 46.1875 \n",
       "C 43 46.71875 42.90625 47.03125 42.796875 47.03125 \n",
       "C 37.5 47.03125 32.703125 50.296875 32.703125 55.265625 \n",
       "C 32.703125 60.703125 41.59375 64.25 45.796875 65.84375 \n",
       "L 48.796875 66.9375 \n",
       "L 49.40625 70.09375 \n",
       "L 48.5 71 \n",
       "L 46.203125 68.703125 \n",
       "C 45.203125 67.6875 44.203125 67.296875 42.796875 67.296875 \n",
       "C 39.40625 67.296875 34.203125 68.09375 29.40625 69.40625 \n",
       "L 27.59375 69.90625 \n",
       "C 24.796875 70.609375 22.796875 71 21.40625 71 \n",
       "C 19.703125 71 17.703125 70.703125 15.296875 70.015625 \n",
       "z\n",
       "\" id=\"Pazo_Math_Italic-120\"/>\n",
       "      <path d=\"M 68.703125 32 \n",
       "C 70.203125 32 72.09375 32 72.09375 34.015625 \n",
       "C 72.09375 36.015625 70.203125 36.015625 68.796875 36.015625 \n",
       "L 8.90625 36.015625 \n",
       "C 7.5 36.015625 5.59375 36.015625 5.59375 34.015625 \n",
       "C 5.59375 32 7.5 32 9 32 \n",
       "z\n",
       "M 68.796875 13 \n",
       "C 70.203125 13 72.09375 13 72.09375 15.015625 \n",
       "C 72.09375 17.015625 70.203125 17.015625 68.703125 17.015625 \n",
       "L 9 17.015625 \n",
       "C 7.5 17.015625 5.59375 17.015625 5.59375 15.015625 \n",
       "C 5.59375 13 7.5 13 8.90625 13 \n",
       "z\n",
       "\" id=\"CMR10-61\"/>\n",
       "      <path d=\"M 6.703125 56 \n",
       "L 7.703125 56 \n",
       "L 20.59375 61.8125 \n",
       "C 20.703125 61.90625 20.796875 61.90625 20.90625 61.90625 \n",
       "C 21.5 61.90625 21.703125 61.015625 21.703125 58.609375 \n",
       "L 21.703125 9.578125 \n",
       "C 21.703125 4.3125 20.59375 3.203125 15.203125 3.203125 \n",
       "L 9.59375 3.203125 \n",
       "L 9.59375 0 \n",
       "C 25 0 25 0 26.09375 0 \n",
       "C 27.40625 0 29.59375 0 33 0 \n",
       "C 34.203125 0 37.703125 0 41.796875 0 \n",
       "L 41.796875 3.203125 \n",
       "L 36.59375 3.203125 \n",
       "C 31.09375 3.203125 30.09375 4.3125 30.09375 9.5625 \n",
       "L 30.09375 69.421875 \n",
       "L 28.703125 69.921875 \n",
       "C 22.203125 66.515625 15.09375 63.515625 6 60.3125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-49\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-84\"/>\n",
       "     <use transform=\"translate(61.069832 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(119.051892 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(191.678788 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(235.912356 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(285.725557 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(327.967023 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(400.593918 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(454.989499 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "     <use transform=\"translate(514.316628 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-120\"/>\n",
       "     <use transform=\"translate(593.696657 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "     <use transform=\"translate(703.312286 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 359.617118 53.415428 \n",
       "L 491.748501 53.415428 \n",
       "L 491.748501 19.962883 \n",
       "L 359.617118 19.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_22\">\n",
       "     <path d=\"M 366.017118 29.641633 \n",
       "L 382.017118 29.641633 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_23\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \n",
       "z\n",
       "\" id=\"mb6325bf81a\" style=\"stroke:#000000;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#000000;stroke-width:1.28;\" x=\"374.017118\" xlink:href=\"#mb6325bf81a\" y=\"29.641633\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_22\">\n",
       "     <!-- Woodford Model -->\n",
       "     <g transform=\"translate(388.417118 32.441633)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 73.40625 -1 \n",
       "C 73.796875 0.5 74.09375 1.90625 74.203125 2.40625 \n",
       "C 74.5 3.40625 75.296875 6.421875 76.09375 9.125 \n",
       "L 91.40625 63 \n",
       "C 92 64.796875 93 65.703125 95.203125 65.90625 \n",
       "L 98.40625 66.203125 \n",
       "L 98.40625 69 \n",
       "L 87.90625 69 \n",
       "C 86.90625 69 86.90625 69 77.40625 69 \n",
       "L 77.40625 66.203125 \n",
       "L 81.40625 65.90625 \n",
       "C 84.90625 65.609375 86 65.109375 86.09375 63.484375 \n",
       "C 86.09375 63.1875 86.09375 62.890625 86 62.578125 \n",
       "L 72.796875 13.625 \n",
       "L 56.40625 59.78125 \n",
       "C 54.203125 65.796875 53.90625 66.59375 53.09375 70 \n",
       "L 49.90625 70 \n",
       "C 47.796875 63.78125 46.09375 59.296875 40.90625 45.859375 \n",
       "L 28.5 14.328125 \n",
       "L 18.5 59.296875 \n",
       "C 18.203125 60.5 18.09375 61.59375 18.09375 62.59375 \n",
       "C 18.09375 64.796875 19.09375 65.703125 21.796875 65.90625 \n",
       "L 26 66.203125 \n",
       "L 26 69 \n",
       "L 13.40625 69 \n",
       "C 12.703125 69 8.5 69 0.796875 69 \n",
       "L 0.796875 66.203125 \n",
       "L 3.59375 65.90625 \n",
       "C 6.5 65.609375 7.703125 64.5 8.59375 60.890625 \n",
       "L 20.5 9.328125 \n",
       "C 21.796875 3.609375 21.796875 3.515625 22.796875 -1 \n",
       "L 27.796875 -1 \n",
       "C 28.703125 2.203125 29.5 4.609375 31.40625 9.328125 \n",
       "L 48.796875 53.578125 \n",
       "L 61.296875 19.625 \n",
       "C 64.59375 10.734375 64.90625 9.921875 68.40625 -1 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-87\"/>\n",
       "       <path d=\"M 41.203125 43.78125 \n",
       "C 35.59375 46.1875 32.796875 47 29.296875 47 \n",
       "C 26.59375 47 24.203125 46.390625 21.703125 45.109375 \n",
       "L 12.90625 40.515625 \n",
       "C 7.203125 37.515625 3.5 30.234375 3.5 21.75 \n",
       "C 3.5 13.765625 6.203125 7.1875 11.09375 3.1875 \n",
       "C 14.5 0.296875 19.203125 -1 25.703125 -1 \n",
       "C 27.703125 -1 30 -0.59375 30.5 -0.203125 \n",
       "L 41.59375 9.109375 \n",
       "L 41.09375 -0.109375 \n",
       "C 46 -0.109375 47.59375 -0.109375 48.796875 -0.109375 \n",
       "C 49.59375 -0.109375 51 -0.109375 53.09375 -0.109375 \n",
       "C 53.796875 -0.109375 55.796875 -0.109375 57.90625 -0.109375 \n",
       "L 57.90625 3 \n",
       "L 53.296875 3 \n",
       "C 49.90625 3 49.59375 3.703125 49.59375 10.046875 \n",
       "L 49.59375 71.984375 \n",
       "L 48.703125 72.796875 \n",
       "C 44.296875 71.09375 41 70.28125 33.09375 69.078125 \n",
       "L 33.09375 66.28125 \n",
       "L 38.703125 66.28125 \n",
       "C 40.5 66.28125 41.203125 65.171875 41.203125 62.15625 \n",
       "z\n",
       "M 41.203125 22.25 \n",
       "C 41.203125 15.765625 41 14.78125 39.703125 12.484375 \n",
       "C 36.90625 7.796875 32 4.71875 27.296875 4.71875 \n",
       "C 18.5 4.71875 12.203125 13.1875 12.203125 25.046875 \n",
       "C 12.203125 35.90625 17.59375 42.28125 26.59375 42.28125 \n",
       "C 30.40625 42.28125 34.40625 40.984375 37.90625 38.59375 \n",
       "C 40 37.203125 41.203125 35.90625 41.203125 35.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-100\"/>\n",
       "       <path d=\"M 2.296875 40.078125 \n",
       "L 6 40.078125 \n",
       "C 10 40.078125 10.40625 39.375 10.40625 32.71875 \n",
       "L 10.40625 10.046875 \n",
       "C 10.40625 3.703125 10.09375 3 6.703125 3 \n",
       "L 2.09375 3 \n",
       "L 2.09375 -0.109375 \n",
       "C 9.296875 -0.109375 11.90625 -0.109375 14.40625 -0.109375 \n",
       "C 16.40625 -0.109375 16.40625 -0.109375 28.703125 -0.109375 \n",
       "L 28.703125 3 \n",
       "L 23.5 3 \n",
       "C 19 3 18.796875 3.296875 18.796875 9.96875 \n",
       "L 18.796875 27.359375 \n",
       "C 18.796875 33.421875 22.796875 38.484375 27.703125 38.484375 \n",
       "C 30.703125 38.484375 32.796875 37.078125 34.40625 33.890625 \n",
       "L 36.5 33.890625 \n",
       "L 37.40625 45.890625 \n",
       "C 36.296875 46.59375 34.5 47 32.703125 47 \n",
       "C 29.703125 47 26.5 45.390625 24.40625 42.890625 \n",
       "L 18.796875 36.28125 \n",
       "L 18.796875 46.59375 \n",
       "L 17.90625 47 \n",
       "C 12.796875 44.890625 7.59375 43.484375 2.296875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-114\"/>\n",
       "       <path d=\"M 73.203125 12.234375 \n",
       "C 73.203125 4.3125 72.796875 3.609375 68.09375 3.203125 \n",
       "L 64.703125 2.90625 \n",
       "L 64.703125 0 \n",
       "C 69.296875 0 72.296875 0 77.5 0 \n",
       "C 83.09375 0 86.703125 0 92.59375 0 \n",
       "L 92.59375 3.203125 \n",
       "L 87.796875 3.203125 \n",
       "C 83.203125 3.203125 82.703125 4 82.703125 11.96875 \n",
       "L 82.703125 57.234375 \n",
       "C 82.703125 65.09375 83.203125 66 87.796875 66 \n",
       "L 92 66.5 \n",
       "L 92 69.3125 \n",
       "C 84.40625 69.3125 84.40625 69.3125 82.703125 69.3125 \n",
       "C 81.203125 69.3125 81.203125 69.3125 73.203125 69.3125 \n",
       "L 47 13.8125 \n",
       "L 20.59375 69.3125 \n",
       "C 12.59375 69.3125 12.59375 69.3125 11.09375 69.3125 \n",
       "C 9.59375 69.3125 9.59375 69.3125 1.59375 69.3125 \n",
       "L 1.59375 66.203125 \n",
       "L 6 66.203125 \n",
       "C 10.59375 66.203125 11.09375 65.28125 11.09375 57.40625 \n",
       "L 11.09375 12 \n",
       "C 11.09375 4.109375 10.59375 3.203125 6 3.203125 \n",
       "L 1.59375 3.203125 \n",
       "L 1.59375 0 \n",
       "C 11.5 0 11.5 0 13.203125 0 \n",
       "C 14.703125 0 14.703125 0 25.203125 0 \n",
       "L 25.203125 3.203125 \n",
       "L 20.796875 3.203125 \n",
       "C 16.203125 3.203125 15.703125 4.09375 15.703125 11.96875 \n",
       "L 15.703125 58.09375 \n",
       "L 43.59375 -1 \n",
       "L 45.59375 -1 \n",
       "C 46.296875 0.5 46.90625 2.09375 47.5 3.59375 \n",
       "C 49.09375 7.5 50.296875 10.28125 51 11.6875 \n",
       "L 68.796875 49.484375 \n",
       "C 70.203125 52.390625 71.40625 54.6875 73.203125 58.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-77\"/>\n",
       "       <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.15625 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-108\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-87\"/>\n",
       "      <use transform=\"translate(90.46152 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(144.8571 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(199.25268 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(260.124311 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(293.299541 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(347.695121 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(385.254438 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(471.032669 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-77\"/>\n",
       "      <use transform=\"translate(565.278871 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(619.674451 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(680.546081 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(728.266377 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_24\">\n",
       "     <path d=\"M 366.017118 41.967906 \n",
       "L 382.017118 41.967906 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_25\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 2.262742 2.262742 \n",
       "L 1.182566 0.489835 \n",
       "L 3.2 0 \n",
       "L 1.182566 -0.489835 \n",
       "L 2.262742 -2.262742 \n",
       "L 0.489835 -1.182566 \n",
       "L 0 -3.2 \n",
       "L -0.489835 -1.182566 \n",
       "L -2.262742 -2.262742 \n",
       "L -1.182566 -0.489835 \n",
       "L -3.2 -0 \n",
       "L -1.182566 0.489835 \n",
       "L -2.262742 2.262742 \n",
       "L -0.489835 1.182566 \n",
       "L -0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 0 3.2 \n",
       "\" id=\"m824d699d84\" style=\"stroke:#666666;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill:#666666;stroke:#666666;stroke-width:1.28;\" x=\"374.017118\" xlink:href=\"#m824d699d84\" y=\"41.967906\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_23\">\n",
       "     <!-- Model with optimal signals -->\n",
       "     <g transform=\"translate(388.417118 44.767906)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 41.296875 47 \n",
       "C 33.09375 27.9375 31.59375 24.546875 25.40625 10.578125 \n",
       "L 17 38.1875 \n",
       "C 16.703125 39.09375 16.59375 39.890625 16.59375 40.6875 \n",
       "C 16.59375 42.1875 17.90625 43 20.40625 43 \n",
       "L 24.40625 43 \n",
       "L 24.40625 45.8125 \n",
       "C 14.5 45.8125 14.5 45.8125 12.5 45.8125 \n",
       "C 10.5 45.8125 10.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43.203125 \n",
       "L 3.40625 43 \n",
       "C 6.203125 42.796875 7.5 40.8125 10 33.03125 \n",
       "L 20.203125 -0.5 \n",
       "L 24.90625 -0.5 \n",
       "L 34.703125 22.453125 \n",
       "C 35.203125 23.65625 36.296875 26.046875 37.90625 29.4375 \n",
       "L 39.90625 33.625 \n",
       "L 53.5 -0.5 \n",
       "L 58.09375 -0.5 \n",
       "C 58.796875 1.59375 59.59375 3.890625 60.40625 6.078125 \n",
       "C 62.40625 11.984375 64.59375 18.15625 65 18.765625 \n",
       "L 71.796875 34.3125 \n",
       "C 74.796875 41.015625 76 42.703125 78.203125 43 \n",
       "L 80.796875 43.203125 \n",
       "L 80.796875 45.8125 \n",
       "C 72.59375 45.8125 72.59375 45.8125 71 45.8125 \n",
       "C 69.40625 45.8125 69.40625 45.8125 61.203125 45.8125 \n",
       "L 61.203125 43 \n",
       "L 64.59375 43 \n",
       "C 67.09375 43 68.5 41.796875 68.5 39.984375 \n",
       "C 68.5 38.890625 68.296875 37.6875 67.796875 36.390625 \n",
       "L 62.796875 22.390625 \n",
       "C 62 20.1875 61.203125 18.171875 58 9.96875 \n",
       "L 46.5 38.90625 \n",
       "C 45.09375 42.296875 44.40625 44.296875 43.59375 47 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-119\"/>\n",
       "       <path d=\"M 9.796875 38.6875 \n",
       "L 9.796875 9.671875 \n",
       "C 9.796875 2.21875 13.09375 -1 20.796875 -1 \n",
       "C 23.09375 -1 25.5 -0.5 26.09375 0.203125 \n",
       "L 30.90625 5.515625 \n",
       "L 29.59375 7.234375 \n",
       "C 27.09375 5.8125 25.59375 5.3125 23.703125 5.3125 \n",
       "C 19.796875 5.3125 18.203125 7.34375 18.203125 12.3125 \n",
       "L 18.203125 38.890625 \n",
       "L 31 38.890625 \n",
       "L 31.90625 44 \n",
       "L 18.203125 44 \n",
       "L 18.203125 47.75 \n",
       "C 18.203125 51.890625 18.5 55.421875 19.296875 61.734375 \n",
       "L 18.09375 62.828125 \n",
       "C 15.703125 61.328125 12.703125 60.03125 9.59375 59.03125 \n",
       "C 9.90625 56.015625 10 54.109375 10 51.109375 \n",
       "L 10 44.09375 \n",
       "L 2.203125 40.59375 \n",
       "L 2.203125 38.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-116\"/>\n",
       "       <path d=\"M 1 40.078125 \n",
       "L 4.703125 40.078125 \n",
       "C 8.703125 40.078125 9.09375 39.375 9.09375 32.734375 \n",
       "L 9.09375 -17.84375 \n",
       "C 9.09375 -24.1875 8.796875 -24.890625 5.40625 -24.890625 \n",
       "L 0.796875 -24.890625 \n",
       "L 0.796875 -28 \n",
       "C 10.796875 -28 10.796875 -28 13.296875 -28 \n",
       "C 15.796875 -28 15.796875 -28 25.796875 -28 \n",
       "L 25.796875 -24.890625 \n",
       "L 21.203125 -24.890625 \n",
       "C 17.796875 -24.890625 17.5 -24.171875 17.5 -17.78125 \n",
       "L 17.5 1.390625 \n",
       "C 20.5 -0.40625 23.703125 -1.109375 28.203125 -1.109375 \n",
       "C 31.09375 -1.109375 33.703125 -0.5 35.296875 0.5 \n",
       "L 46.703125 7.890625 \n",
       "C 50.703125 10.5 55.40625 20.78125 55.40625 27.1875 \n",
       "C 55.40625 38.296875 46.203125 47 34.59375 47 \n",
       "C 30.90625 47 27.296875 45.984375 25.703125 44.484375 \n",
       "L 17.5 36.984375 \n",
       "L 17.5 46.59375 \n",
       "L 16.59375 47 \n",
       "C 11.5 44.890625 6.296875 43.484375 1 42.890625 \n",
       "z\n",
       "M 17.5 30.6875 \n",
       "C 17.5 32.078125 18 33.1875 19.296875 34.890625 \n",
       "C 22.203125 38.578125 26.296875 40.484375 31.296875 40.484375 \n",
       "C 40.703125 40.484375 46.703125 33.890625 46.703125 23.5 \n",
       "C 46.703125 12.296875 40 4 31 4 \n",
       "C 25.5 4 21.40625 5.8125 17.5 9.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-112\"/>\n",
       "       <path d=\"M 51.90625 38 \n",
       "L 54.40625 42.109375 \n",
       "L 54 43.109375 \n",
       "L 39.796875 43.109375 \n",
       "C 36.09375 45.890625 32.5 47 27.59375 47 \n",
       "C 23.203125 47 18.09375 45.625 14 43.25 \n",
       "C 8.40625 40.109375 5.5 35.28125 5.5 29.28125 \n",
       "C 5.5 22 10.09375 16.984375 17.5 16.1875 \n",
       "L 9.59375 10 \n",
       "C 8.59375 8.484375 8.09375 7.171875 8.09375 5.640625 \n",
       "C 8.09375 2.8125 9.90625 1.1875 14.703125 -0.21875 \n",
       "L 6 -4.9375 \n",
       "C 4.59375 -5.734375 3.203125 -9.4375 3.203125 -12.546875 \n",
       "C 3.203125 -21.6875 12.09375 -28 24.796875 -28 \n",
       "C 39.90625 -28 51.796875 -18.46875 51.796875 -6.234375 \n",
       "C 51.796875 0.984375 47 6 40 6 \n",
       "L 24 6 \n",
       "C 18.796875 6 16.40625 7.21875 16.40625 9.984375 \n",
       "C 16.40625 11.3125 17.203125 12.421875 19.796875 14.671875 \n",
       "C 20.40625 15.1875 20.59375 15.390625 21 15.796875 \n",
       "C 22 15.6875 22.59375 15.59375 23.40625 15.59375 \n",
       "C 27.703125 15.59375 33 17.46875 37.09375 20.3125 \n",
       "C 41.59375 23.546875 43.796875 27.484375 43.796875 32.703125 \n",
       "C 43.796875 34.65625 43.5 35.9375 42.703125 38 \n",
       "z\n",
       "M 24 43.59375 \n",
       "C 30.796875 43.59375 35.40625 38.09375 35.40625 29.765625 \n",
       "C 35.40625 23.421875 31.203125 19 25.09375 19 \n",
       "C 18.40625 19 13.90625 24.09375 13.90625 31.640625 \n",
       "C 13.90625 39.171875 17.59375 43.59375 24 43.59375 \n",
       "z\n",
       "M 28.703125 -1.015625 \n",
       "C 40 -1.015625 43.90625 -3.3125 43.90625 -9.84375 \n",
       "C 43.90625 -18.46875 36 -24.890625 25.5 -24.890625 \n",
       "C 16.796875 -24.890625 10.796875 -19.78125 10.796875 -12.34375 \n",
       "C 10.796875 -7.84375 13.40625 -3.71875 17.40625 -2.015625 \n",
       "C 19 -1.21875 21.796875 -1.015625 28.703125 -1.015625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-103\"/>\n",
       "       <path d=\"M 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 46.59375 \n",
       "L 16.296875 47 \n",
       "C 11.203125 44.890625 6 43.484375 0.703125 42.890625 \n",
       "L 0.703125 40.078125 \n",
       "L 4.40625 40.078125 \n",
       "C 8.40625 40.078125 8.796875 39.375 8.796875 32.71875 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-110\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-77\"/>\n",
       "      <use transform=\"translate(94.246201 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(148.641782 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(209.513412 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(257.233707 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(311.130669 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(394.218762 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(423.209124 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(455.686211 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(538.574872 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(592.970453 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "      <use transform=\"translate(652.844846 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(685.321934 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(714.312296 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(802.28197 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(852.09517 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(905.992132 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(948.233598 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(977.22396 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(1032.615637 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(1090.597698 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1140.410898 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(1169.40126 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 25.170705 260.081477 \n",
       "L 495.748501 260.081477 \n",
       "L 495.748501 159.962883 \n",
       "L 25.170705 159.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path clip-path=\"url(#p82e766e896)\" d=\"M 25.170705 255.530632 \n",
       "L 64.385522 198.275502 \n",
       "L 103.600338 172.499761 \n",
       "L 142.815154 167.526381 \n",
       "L 182.029971 174.893274 \n",
       "L 221.244787 188.376435 \n",
       "L 260.459603 203.74257 \n",
       "L 299.67442 218.377485 \n",
       "L 338.889236 230.887428 \n",
       "L 378.104052 240.731505 \n",
       "L 417.318869 247.914433 \n",
       "L 456.533685 252.749186 \n",
       "L 495.748501 255.686788 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_3\">\n",
       "    <g clip-path=\"url(#p82e766e896)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"25.170705\" xlink:href=\"#m5e71449107\" y=\"255.530632\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"64.385522\" xlink:href=\"#m5e71449107\" y=\"198.275502\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"103.600338\" xlink:href=\"#m5e71449107\" y=\"172.499761\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"142.815154\" xlink:href=\"#m5e71449107\" y=\"167.526381\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"182.029971\" xlink:href=\"#m5e71449107\" y=\"174.893274\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"221.244787\" xlink:href=\"#m5e71449107\" y=\"188.376435\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"260.459603\" xlink:href=\"#m5e71449107\" y=\"203.74257\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"299.67442\" xlink:href=\"#m5e71449107\" y=\"218.377485\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"338.889236\" xlink:href=\"#m5e71449107\" y=\"230.887428\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"378.104052\" xlink:href=\"#m5e71449107\" y=\"240.731505\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"417.318869\" xlink:href=\"#m5e71449107\" y=\"247.914433\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"456.533685\" xlink:href=\"#m5e71449107\" y=\"252.749186\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"495.748501\" xlink:href=\"#m5e71449107\" y=\"255.686788\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(22.610705 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"64.385522\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- $\\mathregular{1}$ -->\n",
       "      <g transform=\"translate(61.825522 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"103.600338\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(101.040338 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"142.815154\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- $\\mathregular{3}$ -->\n",
       "      <g transform=\"translate(140.255154 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"182.029971\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- $\\mathregular{4}$ -->\n",
       "      <g transform=\"translate(179.469971 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_19\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"221.244787\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- $\\mathregular{5}$ -->\n",
       "      <g transform=\"translate(218.684787 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_20\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"260.459603\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(257.899603 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_21\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"299.67442\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- $\\mathregular{7}$ -->\n",
       "      <g transform=\"translate(297.11442 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_22\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"338.889236\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- $\\mathregular{8}$ -->\n",
       "      <g transform=\"translate(336.329236 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_23\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"378.104052\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_33\">\n",
       "      <!-- $\\mathregular{9}$ -->\n",
       "      <g transform=\"translate(375.544052 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_24\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"417.318869\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- $\\mathregular{10}$ -->\n",
       "      <g transform=\"translate(412.198869 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_25\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"456.533685\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- $\\mathregular{11}$ -->\n",
       "      <g transform=\"translate(451.413685 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_26\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"495.748501\" xlink:href=\"#mc79b8dce58\" y=\"260.081477\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(490.628501 269.660227)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_37\">\n",
       "     <!-- Time -->\n",
       "     <g transform=\"translate(250.547395 281.739387)scale(0.09 -0.09)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-84\"/>\n",
       "      <use transform=\"translate(55.591109 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(84.581471 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(172.551145 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"255.530632\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_38\">\n",
       "      <!-- $\\mathregular{0.00}$ -->\n",
       "      <g transform=\"translate(3.830705 258.570007)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"237.327251\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_39\">\n",
       "      <!-- $\\mathregular{0.02}$ -->\n",
       "      <g transform=\"translate(3.830705 240.366626)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"219.12387\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_40\">\n",
       "      <!-- $\\mathregular{0.04}$ -->\n",
       "      <g transform=\"translate(3.830705 222.163245)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"200.92049\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_41\">\n",
       "      <!-- $\\mathregular{0.06}$ -->\n",
       "      <g transform=\"translate(3.830705 203.959865)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"182.717109\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_42\">\n",
       "      <!-- $\\mathregular{0.08}$ -->\n",
       "      <g transform=\"translate(3.830705 185.756484)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.170705\" xlink:href=\"#mdd49cafa1d\" y=\"164.513728\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_43\">\n",
       "      <!-- $\\mathregular{0.10}$ -->\n",
       "      <g transform=\"translate(3.830705 167.553103)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#p82e766e896)\" d=\"M 25.170705 255.530632 \n",
       "L 64.385522 208.236068 \n",
       "L 103.600338 182.686024 \n",
       "L 142.815154 173.952306 \n",
       "L 182.029971 177.133133 \n",
       "L 221.244787 187.747989 \n",
       "L 260.459603 202.019573 \n",
       "L 299.67442 217.028813 \n",
       "L 338.889236 230.752469 \n",
       "L 378.104052 242.001709 \n",
       "L 417.318869 250.2904 \n",
       "L 456.533685 255.664823 \n",
       "L 495.748501 258.52381 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_4\">\n",
       "    <g clip-path=\"url(#p82e766e896)\">\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"25.170705\" xlink:href=\"#m753be197b6\" y=\"255.530632\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"64.385522\" xlink:href=\"#m753be197b6\" y=\"208.236068\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"103.600338\" xlink:href=\"#m753be197b6\" y=\"182.686024\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"142.815154\" xlink:href=\"#m753be197b6\" y=\"173.952306\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"182.029971\" xlink:href=\"#m753be197b6\" y=\"177.133133\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"221.244787\" xlink:href=\"#m753be197b6\" y=\"187.747989\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"260.459603\" xlink:href=\"#m753be197b6\" y=\"202.019573\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"299.67442\" xlink:href=\"#m753be197b6\" y=\"217.028813\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"338.889236\" xlink:href=\"#m753be197b6\" y=\"230.752469\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"378.104052\" xlink:href=\"#m753be197b6\" y=\"242.001709\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"417.318869\" xlink:href=\"#m753be197b6\" y=\"250.2904\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"456.533685\" xlink:href=\"#m753be197b6\" y=\"255.664823\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"495.748501\" xlink:href=\"#m753be197b6\" y=\"258.52381\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 25.170705 260.081477 \n",
       "L 25.170705 159.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 495.748501 260.081477 \n",
       "L 495.748501 159.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 25.170705 260.081477 \n",
       "L 495.748501 260.081477 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 25.170705 159.962883 \n",
       "L 495.748501 159.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_44\">\n",
       "    <!-- The case of $\\xi=0.15$ -->\n",
       "    <g transform=\"translate(216.576778 153.962883)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path d=\"M 26.296875 69 \n",
       "C 10.796875 69 2.90625 56.6875 2.90625 32.453125 \n",
       "C 2.90625 20.71875 5 10.625 8.5 5.71875 \n",
       "C 12 0.796875 17.59375 -2 23.796875 -2 \n",
       "C 38.90625 -2 46.5 11.015625 46.5 36.65625 \n",
       "C 46.5 58.578125 40 69 26.296875 69 \n",
       "z\n",
       "M 24.5 65.5 \n",
       "C 34.203125 65.5 38.09375 55.6875 38.09375 31.640625 \n",
       "C 38.09375 10.328125 34.296875 1.5 25.09375 1.5 \n",
       "C 15.40625 1.5 11.296875 11.625 11.296875 36.0625 \n",
       "C 11.296875 57.1875 15 65.5 24.5 65.5 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-48\"/>\n",
       "      <path d=\"M 12.40625 11.625 \n",
       "C 9.40625 11.625 6.703125 8.8125 6.703125 5.8125 \n",
       "C 6.703125 2.796875 9.40625 0 12.296875 0 \n",
       "C 15.5 0 18.296875 2.703125 18.296875 5.8125 \n",
       "C 18.296875 8.8125 15.5 11.625 12.40625 11.625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-46\"/>\n",
       "      <path d=\"M 12.703125 60.578125 \n",
       "C 25.59375 60.578125 31.203125 60.578125 43.203125 60.578125 \n",
       "L 43.703125 61.046875 \n",
       "C 43.5 62.75 43.5 63.5 43.5 64.75 \n",
       "C 43.5 66.078125 43.5 66.828125 43.703125 68.53125 \n",
       "L 43.203125 69 \n",
       "C 35.703125 69 31.203125 69 25.796875 69 \n",
       "C 20.296875 69 15.90625 69 8.40625 69 \n",
       "L 7.90625 68.796875 \n",
       "C 8 62.671875 8.09375 58.265625 8.09375 55.046875 \n",
       "C 8.09375 46.515625 7.796875 36.875 7.5 32.453125 \n",
       "L 9.5 31.84375 \n",
       "C 14.203125 36.578125 16.90625 38 21.796875 38 \n",
       "C 31.40625 38 37.40625 31.140625 37.40625 20.25 \n",
       "C 37.40625 9.0625 31 2.5 20.09375 2.5 \n",
       "C 14.703125 2.5 9.703125 4.328125 8.296875 6.9375 \n",
       "L 3.703125 15.203125 \n",
       "L 1.296875 13.796875 \n",
       "C 3.59375 8.0625 4.796875 4.84375 6.203125 0.421875 \n",
       "C 9 -1.109375 13 -2 17.296875 -2 \n",
       "C 24 -2 31.09375 0.921875 36.59375 5.75 \n",
       "C 42.703125 11.1875 45.90625 18.03125 45.90625 25.46875 \n",
       "C 45.90625 36.859375 37.796875 44.90625 26.40625 44.90625 \n",
       "C 21.59375 44.90625 18 43.609375 11.796875 39.90625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-53\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-84\"/>\n",
       "     <use transform=\"translate(61.069832 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(119.051892 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(191.678788 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(235.912356 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(285.725557 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(327.967023 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(400.593918 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(454.989499 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "     <use transform=\"translate(514.316628 0)scale(0.996264)\" xlink:href=\"#Pazo_Math_Italic-120\"/>\n",
       "     <use transform=\"translate(593.696657 0)scale(1.038107)\" xlink:href=\"#CMR10-61\"/>\n",
       "     <use transform=\"translate(703.312286 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-48\"/>\n",
       "     <use transform=\"translate(753.125486 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "     <use transform=\"translate(778.032087 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-49\"/>\n",
       "     <use transform=\"translate(827.845287 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-53\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_2\">\n",
       "    <g id=\"patch_13\">\n",
       "     <path d=\"M 359.617118 197.415428 \n",
       "L 491.748501 197.415428 \n",
       "L 491.748501 163.962883 \n",
       "L 359.617118 163.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_47\">\n",
       "     <path d=\"M 366.017118 173.641633 \n",
       "L 382.017118 173.641633 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_48\">\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#000000;stroke-width:1.28;\" x=\"374.017118\" xlink:href=\"#mb6325bf81a\" y=\"173.641633\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_45\">\n",
       "     <!-- Woodford Model -->\n",
       "     <g transform=\"translate(388.417118 176.441633)scale(0.08 -0.08)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-87\"/>\n",
       "      <use transform=\"translate(90.46152 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(144.8571 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(199.25268 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(260.124311 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(293.299541 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(347.695121 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(385.254438 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(471.032669 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-77\"/>\n",
       "      <use transform=\"translate(565.278871 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(619.674451 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(680.546081 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(728.266377 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_49\">\n",
       "     <path d=\"M 366.017118 185.967906 \n",
       "L 382.017118 185.967906 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_50\">\n",
       "     <g>\n",
       "      <use style=\"fill:#666666;stroke:#666666;stroke-width:1.28;\" x=\"374.017118\" xlink:href=\"#m824d699d84\" y=\"185.967906\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_46\">\n",
       "     <!-- Model with optimal signals -->\n",
       "     <g transform=\"translate(388.417118 188.767906)scale(0.08 -0.08)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-77\"/>\n",
       "      <use transform=\"translate(94.246201 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(148.641782 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(209.513412 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(257.233707 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(311.130669 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(394.218762 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(423.209124 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(455.686211 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(538.574872 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(592.970453 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "      <use transform=\"translate(652.844846 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(685.321934 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(714.312296 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(802.28197 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(852.09517 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(905.992132 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(948.233598 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(977.22396 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-103\"/>\n",
       "      <use transform=\"translate(1032.615637 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(1090.597698 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1140.410898 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(1169.40126 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p9eef9a79b4\">\n",
       "   <rect height=\"100.118594\" width=\"470.577796\" x=\"25.170705\" y=\"15.962883\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p82e766e896\">\n",
       "   <rect height=\"100.118594\" width=\"470.577796\" x=\"25.170705\" y=\"159.962883\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 40
    }
   ],
   "cell_type": "code",
   "source": [
    "p1 = plot(0:12,[output_woodford output_opt],\n",
    "    title       = L\"The case of $\\xi=1$\",\n",
    "    color       = [:black :gray40], markerstrokecolor = [:black :gray40],\n",
    "    ylim        = (-0.003,0.053),\n",
    "    ytick       = (0:0.01:0.05))\n",
    "p2 = plot(0:12,[output_ge_woodford[1:13] output_ge_opt[1:13]],\n",
    "    title       = L\"The case of $\\xi=0.15$\",\n",
    "    color       = [:black :gray40], markerstrokecolor = [:black :gray40],\n",
    "    ylim        = (-0.005,0.105),\n",
    "    ytick       = (0:0.02:0.1))\n",
    "Plots.plot(p1,p2,\n",
    "    layout      = (2,1),\n",
    "    label       = [\"Woodford Model\" \"Model with optimal signals\"],\n",
    "    legend      = :topright,\n",
    "    marker      = [:circle :star8], markersize = [5 5], markercolor = [:false :gray40],\n",
    "    xlim        = (0,12),\n",
    "    xtick       = (0:1:12),\n",
    "    xlabel      = \"Time\",\n",
    "    lw          = 1.5,\n",
    "    legendfont  = font(8), titlefont = font(10), guidefont = font(9), tickfont = font(8),\n",
    "    size        = (700,400),\n",
    "    grid        = :off, framestyle = :box)"
   ],
   "metadata": {},
   "execution_count": 40
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Ex. 4: Business Cycle Model with News Shocks\n",
    "In this section, we replicate the business cycle model with news shocks in Section 7 in Mackowiak, Matejka and Wiederholt (2018).\n",
    "\n",
    "### Setup\n",
    "\n",
    "#### Full-Information\n",
    "The techonology shock follows AR(1) process:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "z_{t} = \\rho z_{t-1} + \\sigma \\varepsilon_{t-k}\n",
    "\\end{aligned}\n",
    "$$\n",
    "and the total labor input is:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "n_{t} = \\int_0^1 n_{i,t} di .\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Under perfect information, the households chooses the utility-maximizing labor supply, all firms choose the profit-maximizing labor input, and the labor market clearing condition is:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\frac{1-\\gamma}{\\psi + \\gamma}w_{t} = \\frac{1}{\\alpha}(z_t - w_t).\n",
    "\\end{aligned}\n",
    "$$\n",
    "Then, the market clearing wages and the equilibrium labor input are:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    w_{t} & = \\frac{\\frac{1}{\\alpha}}{\\frac{1-\\gamma}{\\psi+\\gamma} + \\frac{1}{\\alpha}} z_t \\equiv \\xi z_t \\\\\n",
    "    n_t & = \\frac{1}{\\alpha}(1-\\xi) z_t.\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "\n",
    "#### Rational Inattention\n",
    "\n",
    "Firms wants to keep track of their ideal price,\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    n_{t}^* = \\frac{1}{\\alpha} z_t - \\frac{1}{\\alpha} \\frac{\\psi + \\gamma}{1 - \\gamma} n_t\n",
    "\\end{aligned}\n",
    "$$\n",
    "where $n_{t} = \\int_0^1 n_{i,t} di$. Then, firm $i$'s choice depends on its information set at time $t$:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    n_{i,t} = E_{i,t} [n_{t}^*].\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Note that now the state space representation for $n_{t}^*$ is determined in the equilibrium. However, we know that this is a Guassian process and by Wold's theorem we can decompose it to its $MA(\\infty)$ representation:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    n_{t}^*=\\Phi(L)\\varepsilon_t\n",
    "\\end{aligned}\n",
    "$$\n",
    "where $\\Phi(.)$ is a lag polynomial and $\\varepsilon_t$ is the shock to technology. Here, we have basically guessed that the process for $p_{i,t}^*$ is determined uniquely by the history of monetary shocks which requires that rational inattention errors of firms are orthogonal (See [Afrouzi (2020)](http://www.afrouzi.com/strategic_inattetion.pdf)). Our objective is to find $\\Phi(.)$.\n",
    "\n",
    "Now, as in our [Example 2](https://github.com/afrouzi/DRIPs.jl/blob/master/examples/notebooks/ex2_pricing_pe_with_feedback.ipynb), we can represent the problem in a matrix notation.\n",
    "\n",
    "### Initialization"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "β   = 1     ;   # Time preference\n",
    "γ   = 1/3   ;   # Inverse of intertemporal elasticity of substitution\n",
    "ψ   = 0     ;   # Inverse of Frisch elasticity\n",
    "α   = 3/4   ;   # Labor share in production function\n",
    "θ   = -1/α*(ψ+γ)/(1-γ)  ;\n",
    "ξ   = θ/(θ-1)   ;\n",
    "\n",
    "ρ   = 0.9   ;   #persistence of technology shocks\n",
    "σ   = 1     ;   #std. deviation of technology shocks\n",
    "ω   = 6.5   ;   # Information cost\n",
    "\n",
    "L   = 40    ;   #length of truncation\n",
    "k   = 8     ;   #news horizon\n",
    "\n",
    "M   = [zeros(1,L-1) 0; Matrix(I,L-1,L-1) zeros(L-1,1)]; # shift matrix\n",
    "Hz  = ρ.^(0:L-1)\n",
    "Hz = (M^k)*Hz\n",
    "\n",
    "A   = M     ;\n",
    "Q   = [σ; zeros(L-1,1)] ;"
   ],
   "metadata": {},
   "execution_count": 41
  },
  {
   "cell_type": "markdown",
   "source": [
    "Also, define a function that solves the GE problem and returns the solution in a `Drip` structure:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "function ge_drip(ω,β,A,Q,          #primitives of drip except for H because H is endogenous\n",
    "                 α,                #strategic complementarity\n",
    "                 θ,\n",
    "                 Hz,               #state space rep. of z\n",
    "                 L;                #length of truncation\n",
    "                 w_out    = 0.5,    #optional: initial guess for H (Hq is the true solution when α=0)\n",
    "                 H0       = Hz,    #optional: initial guess for H (Hq is the true solution when α=0)\n",
    "                 maxit    = 200,   #optional: max number of iterations for GE code\n",
    "                 tol      = 1e-6)  #optional: tolerance for iterations\n",
    "    err   = 1;\n",
    "    iter  = 0;\n",
    "    M     = [zeros(1,L-1) 0; Matrix(I,L-1,L-1) zeros(L-1,1)];\n",
    "    eye   = Matrix(I,L,L)\n",
    "    while (err > tol) & (iter < maxit)\n",
    "        if iter == 0\n",
    "            global ge  = Drip(ω,β,A,Q,H0;w=0.5, tol=1e-8);\n",
    "        else\n",
    "            global ge  = Drip(ω,β,A,Q,H0;w=0.9, tol=1e-8, Ω0=ge.ss.Ω, Σ0=ge.ss.Σ_1, maxit=1000);\n",
    "        end\n",
    "\n",
    "        XFUN(jj) = ((eye-ge.ss.K*ge.ss.Y')*ge.A)^jj * (ge.ss.K*ge.ss.Y') * (M')^jj\n",
    "        X = DRIPs.infinitesum(XFUN; maxit=L, start = 0);  #E[x⃗]=X×x⃗\n",
    "\n",
    "        H1 = (1/α)*Hz + θ*X'*H0 ;\n",
    "\n",
    "        err= 0.5*norm(H1-H0,2)/norm(H0)+0.5*err;\n",
    "\n",
    "        H0 = w_out*H1 + (1.0-w_out)*H0 ;\n",
    "\n",
    "        iter += 1;\n",
    "        if iter == maxit\n",
    "            print(\"GE loop hit maxit\\n\")\n",
    "        elseif mod(iter,10) == 0\n",
    "            println(\"Iteration $iter. Difference: $err\")\n",
    "        end\n",
    "\n",
    "    end\n",
    "    print(\" Iteration Done.\\n\")\n",
    "    return(ge)\n",
    "end;"
   ],
   "metadata": {},
   "execution_count": 42
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Solve and Measure Performance"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Solve:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 10. Difference: 0.008423206111917462\n",
      "Iteration 20. Difference: 1.1340049707814608e-5\n",
      " Iteration Done.\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "ge      = ge_drip(ω,β,A,Q,α,θ,Hz,L)  ;"
   ],
   "metadata": {},
   "execution_count": 43
  },
  {
   "cell_type": "markdown",
   "source": [
    "Measure performance by solving the model for different values of ω:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "BenchmarkTools.Trial: \n  memory estimate:  573.41 MiB\n  allocs estimate:  78643\n  --------------\n  minimum time:     546.028 ms (2.93% GC)\n  median time:      642.400 ms (2.49% GC)\n  mean time:        636.123 ms (2.83% GC)\n  maximum time:     666.456 ms (2.39% GC)\n  --------------\n  samples:          8\n  evals/sample:     1"
     },
     "metadata": {},
     "execution_count": 44
    }
   ],
   "cell_type": "code",
   "source": [
    "@suppress @benchmark ge_drip(ω,β,A,Q,α,θ,Hz,L) setup = (ω = 6.5*rand())"
   ],
   "metadata": {},
   "execution_count": 44
  },
  {
   "cell_type": "markdown",
   "source": [
    "Calculate IRFs and profit loss:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==: Profit loss from rational inattention = 0.00010\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "geirfs  = irfs(ge,T = L)         ;\n",
    "profit_loss = sum((geirfs.x[1,1,:]/100 - geirfs.x_hat[1,1,:]/100).^2) ;\n",
    "\n",
    "s = @sprintf(\"==: Profit loss from rational inattention = %6.5f\", profit_loss)  ;\n",
    "println(s) ;"
   ],
   "metadata": {},
   "execution_count": 45
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Replication of Figure (7)"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=2}",
      "image/png": "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",
      "text/html": [
       "<img src=\"data:image/png;base64,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\" />"
      ],
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 468 288\" width=\"468pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-09-27T00:19:02.816495</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 288 \n",
       "L 468 288 \n",
       "L 468 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 33.018377 273.025354 \n",
       "L 459.624751 273.025354 \n",
       "L 459.624751 15.962883 \n",
       "L 33.018377 15.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path clip-path=\"url(#pb74d3b38c2)\" d=\"M 47.238589 258.744106 \n",
       "L 61.458802 258.744106 \n",
       "L 75.679014 258.744106 \n",
       "L 89.899227 258.744106 \n",
       "L 104.119439 258.744106 \n",
       "L 118.339652 258.744106 \n",
       "L 132.559864 258.744106 \n",
       "L 146.780077 258.744106 \n",
       "L 161.000289 30.244131 \n",
       "L 175.220502 53.094129 \n",
       "L 189.440714 73.659127 \n",
       "L 203.660927 92.167625 \n",
       "L 217.881139 108.825273 \n",
       "L 232.101351 123.817156 \n",
       "L 246.321564 137.309851 \n",
       "L 260.541776 149.453276 \n",
       "L 274.761989 160.382359 \n",
       "L 288.982201 170.218534 \n",
       "L 303.202414 179.071091 \n",
       "L 317.422626 187.038393 \n",
       "L 331.642839 194.208964 \n",
       "L 345.863051 200.662478 \n",
       "L 360.083264 206.470641 \n",
       "L 374.303476 211.697987 \n",
       "L 388.523689 216.402599 \n",
       "L 402.743901 220.63675 \n",
       "L 416.964114 224.447486 \n",
       "L 431.184326 227.877148 \n",
       "L 445.404539 230.963843 \n",
       "L 459.624751 233.74187 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "C 0.663008 2.5 1.29895 2.236584 1.767767 1.767767 \n",
       "C 2.236584 1.29895 2.5 0.663008 2.5 0 \n",
       "C 2.5 -0.663008 2.236584 -1.29895 1.767767 -1.767767 \n",
       "C 1.29895 -2.236584 0.663008 -2.5 0 -2.5 \n",
       "C -0.663008 -2.5 -1.29895 -2.236584 -1.767767 -1.767767 \n",
       "C -2.236584 -1.29895 -2.5 -0.663008 -2.5 0 \n",
       "C -2.5 0.663008 -2.236584 1.29895 -1.767767 1.767767 \n",
       "C -1.29895 2.236584 -0.663008 2.5 0 2.5 \n",
       "z\n",
       "\" id=\"me9bb6abc5c\" style=\"stroke:#000000;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pb74d3b38c2)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"47.238589\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"61.458802\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"75.679014\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"89.899227\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"104.119439\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"118.339652\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"132.559864\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"146.780077\" xlink:href=\"#me9bb6abc5c\" y=\"258.744106\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"161.000289\" xlink:href=\"#me9bb6abc5c\" y=\"30.244131\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"175.220502\" xlink:href=\"#me9bb6abc5c\" y=\"53.094129\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"189.440714\" xlink:href=\"#me9bb6abc5c\" y=\"73.659127\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"203.660927\" xlink:href=\"#me9bb6abc5c\" y=\"92.167625\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"217.881139\" xlink:href=\"#me9bb6abc5c\" y=\"108.825273\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"232.101351\" xlink:href=\"#me9bb6abc5c\" y=\"123.817156\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"246.321564\" xlink:href=\"#me9bb6abc5c\" y=\"137.309851\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"260.541776\" xlink:href=\"#me9bb6abc5c\" y=\"149.453276\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"274.761989\" xlink:href=\"#me9bb6abc5c\" y=\"160.382359\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"288.982201\" xlink:href=\"#me9bb6abc5c\" y=\"170.218534\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"303.202414\" xlink:href=\"#me9bb6abc5c\" y=\"179.071091\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"317.422626\" xlink:href=\"#me9bb6abc5c\" y=\"187.038393\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"331.642839\" xlink:href=\"#me9bb6abc5c\" y=\"194.208964\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"345.863051\" xlink:href=\"#me9bb6abc5c\" y=\"200.662478\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"360.083264\" xlink:href=\"#me9bb6abc5c\" y=\"206.470641\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"374.303476\" xlink:href=\"#me9bb6abc5c\" y=\"211.697987\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"388.523689\" xlink:href=\"#me9bb6abc5c\" y=\"216.402599\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"402.743901\" xlink:href=\"#me9bb6abc5c\" y=\"220.63675\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"416.964114\" xlink:href=\"#me9bb6abc5c\" y=\"224.447486\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"431.184326\" xlink:href=\"#me9bb6abc5c\" y=\"227.877148\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"445.404539\" xlink:href=\"#me9bb6abc5c\" y=\"230.963843\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#000000;\" x=\"459.624751\" xlink:href=\"#me9bb6abc5c\" y=\"233.74187\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 -2.5 \n",
       "\" id=\"m1b3ff8ba3a\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathregular{0}$ -->\n",
       "      <g transform=\"translate(30.458377 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"61.458802\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathregular{2}$ -->\n",
       "      <g transform=\"translate(58.898802 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"89.899227\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathregular{4}$ -->\n",
       "      <g transform=\"translate(87.339227 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"118.339652\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathregular{6}$ -->\n",
       "      <g transform=\"translate(115.779652 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"146.780077\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathregular{8}$ -->\n",
       "      <g transform=\"translate(144.220077 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"175.220502\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathregular{10}$ -->\n",
       "      <g transform=\"translate(170.100502 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"203.660927\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathregular{12}$ -->\n",
       "      <g transform=\"translate(198.540927 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"232.101351\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathregular{14}$ -->\n",
       "      <g transform=\"translate(226.981351 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"260.541776\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathregular{16}$ -->\n",
       "      <g transform=\"translate(255.421776 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"288.982201\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathregular{18}$ -->\n",
       "      <g transform=\"translate(283.862201 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"317.422626\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathregular{20}$ -->\n",
       "      <g transform=\"translate(312.302626 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"345.863051\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathregular{22}$ -->\n",
       "      <g transform=\"translate(340.743051 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"374.303476\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathregular{24}$ -->\n",
       "      <g transform=\"translate(369.183476 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"402.743901\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathregular{26}$ -->\n",
       "      <g transform=\"translate(397.623901 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"431.184326\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathregular{28}$ -->\n",
       "      <g transform=\"translate(426.064326 282.604104)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"459.624751\" xlink:href=\"#m1b3ff8ba3a\" y=\"273.025354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- $\\mathregular{30}$ -->\n",
       "      <g transform=\"translate(454.504751 282.604104)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 2.5 0 \n",
       "\" id=\"m7997d0e4e3\" style=\"stroke:#000000;stroke-width:0.5;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"258.744106\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- $\\mathregular{0.0}$ -->\n",
       "      <g transform=\"translate(16.718377 261.783481)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"230.181609\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- $\\mathregular{0.1}$ -->\n",
       "      <g transform=\"translate(16.718377 233.220984)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"201.619112\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- $\\mathregular{0.2}$ -->\n",
       "      <g transform=\"translate(17.198377 204.658487)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(89.910156 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"173.056615\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- $\\mathregular{0.3}$ -->\n",
       "      <g transform=\"translate(16.718377 176.09599)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"144.494119\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- $\\mathregular{0.4}$ -->\n",
       "      <g transform=\"translate(16.718377 147.533494)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"115.931622\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- $\\mathregular{0.5}$ -->\n",
       "      <g transform=\"translate(16.718377 118.970997)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"87.369125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- $\\mathregular{0.6}$ -->\n",
       "      <g transform=\"translate(16.718377 90.4085)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"58.806628\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- $\\mathregular{0.7}$ -->\n",
       "      <g transform=\"translate(17.358377 61.846003)scale(0.08 -0.08)\">\n",
       "       <defs>\n",
       "        <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "       </defs>\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(87.660156 0.78125)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"33.018377\" xlink:href=\"#m7997d0e4e3\" y=\"30.244131\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- $\\mathregular{0.8}$ -->\n",
       "      <g transform=\"translate(16.958377 33.283506)scale(0.08 -0.08)\">\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use transform=\"translate(92.785156 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_26\">\n",
       "     <!-- Percent -->\n",
       "     <g transform=\"translate(10.18991 159.248079)rotate(-90)scale(0.09 -0.09)\">\n",
       "      <defs>\n",
       "       <path d=\"M 21.59375 64.3125 \n",
       "C 25.09375 65.09375 28 65.5 31.40625 65.5 \n",
       "C 42.203125 65.5 48 60.546875 48 51.140625 \n",
       "C 48 42.234375 41.90625 36 33.203125 36 \n",
       "C 31.09375 36 29.59375 36.203125 27 36.984375 \n",
       "L 28 33.390625 \n",
       "C 30.40625 32.890625 31.796875 32.796875 33.796875 32.796875 \n",
       "C 47.5 32.796875 58 42.0625 58 54.046875 \n",
       "C 58 63.609375 50.203125 69.5 37.5 69.5 \n",
       "C 37 69.5 36 69.5 34.703125 69.109375 \n",
       "C 31 69.109375 23.40625 69.109375 20.5 69.109375 \n",
       "C 18.296875 69.109375 18.296875 69.109375 2.296875 69.109375 \n",
       "L 2.296875 66 \n",
       "L 6.796875 66 \n",
       "C 11.296875 66 12.09375 64.6875 12.09375 57.234375 \n",
       "L 12.09375 11.96875 \n",
       "C 12.09375 4 11.59375 3.203125 7 3.203125 \n",
       "L 2.203125 3.203125 \n",
       "L 2.203125 0 \n",
       "C 8.09375 0 11.59375 0 16.796875 0 \n",
       "C 22 0 25.59375 0 31.5 0 \n",
       "L 31.5 3.203125 \n",
       "L 26.703125 3.203125 \n",
       "C 22.09375 3.203125 21.59375 4 21.59375 11.9375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-80\"/>\n",
       "       <path d=\"M 43.703125 6.984375 \n",
       "L 42.40625 7.984375 \n",
       "C 36 4.203125 33.703125 3.3125 29.40625 3.3125 \n",
       "C 22.90625 3.3125 17.5 6.21875 14.703125 11.109375 \n",
       "C 12.796875 14.390625 12.09375 17.203125 11.90625 23 \n",
       "L 26.5 23 \n",
       "C 33.40625 23 37.703125 23 44.59375 24.125 \n",
       "C 44.703125 25.53125 44.796875 26.453125 44.796875 27.671875 \n",
       "C 44.796875 39.375 37.40625 47 26.203125 47 \n",
       "C 22.5 47 18.203125 45.6875 14.09375 43.28125 \n",
       "C 5.90625 38.578125 2.59375 32.359375 2.59375 21.9375 \n",
       "C 2.59375 15.625 4.09375 10.21875 6.796875 6.40625 \n",
       "C 10.796875 1.109375 17.5 -2 25 -2 \n",
       "C 28.703125 -2 32.40625 -1.203125 36.5 0.578125 \n",
       "C 39.203125 1.6875 41.296875 2.984375 41.703125 3.59375 \n",
       "z\n",
       "M 35.90625 26.40625 \n",
       "C 30.703125 26.40625 28.296875 26.40625 24.703125 26.40625 \n",
       "C 20.09375 26.40625 17.5 26.40625 12.09375 26.90625 \n",
       "C 12.09375 31.671875 12.5 33.890625 13.796875 36.515625 \n",
       "C 15.90625 40.96875 20.203125 43.6875 25 43.6875 \n",
       "C 28.296875 43.6875 30.90625 42.359375 32.703125 39.59375 \n",
       "C 34.90625 36.234375 35.59375 33.265625 35.90625 26.40625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-101\"/>\n",
       "       <path d=\"M 2.296875 40.078125 \n",
       "L 6 40.078125 \n",
       "C 10 40.078125 10.40625 39.375 10.40625 32.71875 \n",
       "L 10.40625 10.046875 \n",
       "C 10.40625 3.703125 10.09375 3 6.703125 3 \n",
       "L 2.09375 3 \n",
       "L 2.09375 -0.109375 \n",
       "C 9.296875 -0.109375 11.90625 -0.109375 14.40625 -0.109375 \n",
       "C 16.40625 -0.109375 16.40625 -0.109375 28.703125 -0.109375 \n",
       "L 28.703125 3 \n",
       "L 23.5 3 \n",
       "C 19 3 18.796875 3.296875 18.796875 9.96875 \n",
       "L 18.796875 27.359375 \n",
       "C 18.796875 33.421875 22.796875 38.484375 27.703125 38.484375 \n",
       "C 30.703125 38.484375 32.796875 37.078125 34.40625 33.890625 \n",
       "L 36.5 33.890625 \n",
       "L 37.40625 45.890625 \n",
       "C 36.296875 46.59375 34.5 47 32.703125 47 \n",
       "C 29.703125 47 26.5 45.390625 24.40625 42.890625 \n",
       "L 18.796875 36.28125 \n",
       "L 18.796875 46.59375 \n",
       "L 17.90625 47 \n",
       "C 12.796875 44.890625 7.59375 43.484375 2.296875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-114\"/>\n",
       "       <path d=\"M 39.90625 31.15625 \n",
       "C 39.90625 35.765625 40.40625 39.875 41.296875 43.484375 \n",
       "C 37.296875 45.890625 33.796875 47 29.703125 47 \n",
       "C 24.90625 47 19.296875 45.09375 13.296875 41.28125 \n",
       "C 6.296875 36.875 2.59375 29.859375 2.59375 21.046875 \n",
       "C 2.59375 7.515625 12.09375 -2 25.5 -2 \n",
       "C 30.703125 -2 38.203125 -0.09375 39.203125 1.40625 \n",
       "L 41.296875 4.609375 \n",
       "L 40.296875 6.109375 \n",
       "C 36.59375 4.109375 33.40625 3.203125 29.796875 3.203125 \n",
       "C 18.703125 3.203125 11.40625 11.828125 11.40625 25.046875 \n",
       "C 11.40625 35.765625 16.40625 41.78125 25.40625 41.78125 \n",
       "C 29.796875 41.78125 34.59375 39.78125 36.40625 37.28125 \n",
       "L 37.09375 31.15625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-99\"/>\n",
       "       <path d=\"M 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 46.59375 \n",
       "L 16.296875 47 \n",
       "C 11.203125 44.890625 6 43.484375 0.703125 42.890625 \n",
       "L 0.703125 40.078125 \n",
       "L 4.40625 40.078125 \n",
       "C 8.40625 40.078125 8.796875 39.375 8.796875 32.71875 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-110\"/>\n",
       "       <path d=\"M 9.796875 38.6875 \n",
       "L 9.796875 9.671875 \n",
       "C 9.796875 2.21875 13.09375 -1 20.796875 -1 \n",
       "C 23.09375 -1 25.5 -0.5 26.09375 0.203125 \n",
       "L 30.90625 5.515625 \n",
       "L 29.59375 7.234375 \n",
       "C 27.09375 5.8125 25.59375 5.3125 23.703125 5.3125 \n",
       "C 19.796875 5.3125 18.203125 7.34375 18.203125 12.3125 \n",
       "L 18.203125 38.890625 \n",
       "L 31 38.890625 \n",
       "L 31.90625 44 \n",
       "L 18.203125 44 \n",
       "L 18.203125 47.75 \n",
       "C 18.203125 51.890625 18.5 55.421875 19.296875 61.734375 \n",
       "L 18.09375 62.828125 \n",
       "C 15.703125 61.328125 12.703125 60.03125 9.59375 59.03125 \n",
       "C 9.90625 56.015625 10 54.109375 10 51.109375 \n",
       "L 10 44.09375 \n",
       "L 2.203125 40.59375 \n",
       "L 2.203125 38.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-116\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-80\"/>\n",
       "      <use transform=\"translate(60.173595 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(107.89389 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(145.453208 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "      <use transform=\"translate(189.686776 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(237.407072 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(295.389132 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path clip-path=\"url(#pb74d3b38c2)\" d=\"M 47.238589 258.356174 \n",
       "L 61.458802 257.438431 \n",
       "L 75.679014 255.514994 \n",
       "L 89.899227 251.775354 \n",
       "L 104.119439 245.023141 \n",
       "L 118.339652 233.779172 \n",
       "L 132.559864 216.667757 \n",
       "L 146.780077 193.181706 \n",
       "L 161.000289 164.752368 \n",
       "L 175.220502 143.388872 \n",
       "L 189.440714 130.735895 \n",
       "L 203.660927 126.264136 \n",
       "L 217.881139 128.209659 \n",
       "L 232.101351 134.450154 \n",
       "L 246.321564 143.084929 \n",
       "L 260.541776 152.695632 \n",
       "L 274.761989 162.372161 \n",
       "L 288.982201 171.61183 \n",
       "L 303.202414 180.133265 \n",
       "L 317.422626 187.870197 \n",
       "L 331.642839 194.854312 \n",
       "L 345.863051 201.15157 \n",
       "L 360.083264 206.832344 \n",
       "L 374.303476 211.960397 \n",
       "L 388.523689 216.590815 \n",
       "L 402.743901 220.771227 \n",
       "L 416.964114 224.543558 \n",
       "L 431.184326 227.945314 \n",
       "L 445.404539 231.0103 \n",
       "L 459.624751 233.769021 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_2\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 1.767767 1.767767 \n",
       "L 0.92388 0.382683 \n",
       "L 2.5 0 \n",
       "L 0.92388 -0.382683 \n",
       "L 1.767767 -1.767767 \n",
       "L 0.382683 -0.92388 \n",
       "L 0 -2.5 \n",
       "L -0.382683 -0.92388 \n",
       "L -1.767767 -1.767767 \n",
       "L -0.92388 -0.382683 \n",
       "L -2.5 -0 \n",
       "L -0.92388 0.382683 \n",
       "L -1.767767 1.767767 \n",
       "L -0.382683 0.92388 \n",
       "L -0 2.5 \n",
       "L 0.382683 0.92388 \n",
       "L 0 2.5 \n",
       "\" id=\"m3d812f3970\" style=\"stroke:#666666;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pb74d3b38c2)\">\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"47.238589\" xlink:href=\"#m3d812f3970\" y=\"258.356174\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"61.458802\" xlink:href=\"#m3d812f3970\" y=\"257.438431\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"75.679014\" xlink:href=\"#m3d812f3970\" y=\"255.514994\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"89.899227\" xlink:href=\"#m3d812f3970\" y=\"251.775354\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"104.119439\" xlink:href=\"#m3d812f3970\" y=\"245.023141\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"118.339652\" xlink:href=\"#m3d812f3970\" y=\"233.779172\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"132.559864\" xlink:href=\"#m3d812f3970\" y=\"216.667757\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"146.780077\" xlink:href=\"#m3d812f3970\" y=\"193.181706\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"161.000289\" xlink:href=\"#m3d812f3970\" y=\"164.752368\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"175.220502\" xlink:href=\"#m3d812f3970\" y=\"143.388872\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"189.440714\" xlink:href=\"#m3d812f3970\" y=\"130.735895\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"203.660927\" xlink:href=\"#m3d812f3970\" y=\"126.264136\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"217.881139\" xlink:href=\"#m3d812f3970\" y=\"128.209659\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"232.101351\" xlink:href=\"#m3d812f3970\" y=\"134.450154\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"246.321564\" xlink:href=\"#m3d812f3970\" y=\"143.084929\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"260.541776\" xlink:href=\"#m3d812f3970\" y=\"152.695632\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"274.761989\" xlink:href=\"#m3d812f3970\" y=\"162.372161\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"288.982201\" xlink:href=\"#m3d812f3970\" y=\"171.61183\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"303.202414\" xlink:href=\"#m3d812f3970\" y=\"180.133265\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"317.422626\" xlink:href=\"#m3d812f3970\" y=\"187.870197\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"331.642839\" xlink:href=\"#m3d812f3970\" y=\"194.854312\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"345.863051\" xlink:href=\"#m3d812f3970\" y=\"201.15157\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"360.083264\" xlink:href=\"#m3d812f3970\" y=\"206.832344\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"374.303476\" xlink:href=\"#m3d812f3970\" y=\"211.960397\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"388.523689\" xlink:href=\"#m3d812f3970\" y=\"216.590815\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"402.743901\" xlink:href=\"#m3d812f3970\" y=\"220.771227\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"416.964114\" xlink:href=\"#m3d812f3970\" y=\"224.543558\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"431.184326\" xlink:href=\"#m3d812f3970\" y=\"227.945314\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"445.404539\" xlink:href=\"#m3d812f3970\" y=\"231.0103\"/>\n",
       "     <use style=\"fill:#666666;stroke:#666666;\" x=\"459.624751\" xlink:href=\"#m3d812f3970\" y=\"233.769021\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 33.018377 273.025354 \n",
       "L 33.018377 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 459.624751 273.025354 \n",
       "L 459.624751 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 33.018377 273.025354 \n",
       "L 459.624751 273.025354 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 33.018377 15.962883 \n",
       "L 459.624751 15.962883 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_27\">\n",
       "    <!-- The impulse response of labor input to a productivity shock. -->\n",
       "    <g transform=\"translate(113.391828 9.962883)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path d=\"M 25.5 64.28125 \n",
       "C 25.796875 60.875 25.90625 58.578125 25.90625 54.265625 \n",
       "L 25.90625 11.921875 \n",
       "C 25.90625 4 25.40625 3.203125 20.796875 3.203125 \n",
       "L 16 3.203125 \n",
       "L 16 0 \n",
       "C 21.90625 0 25.40625 0 30.59375 0 \n",
       "C 35.796875 0 39.40625 0 45.296875 0 \n",
       "L 45.296875 3.203125 \n",
       "L 40.5 3.203125 \n",
       "C 35.90625 3.203125 35.40625 4 35.40625 11.921875 \n",
       "L 35.40625 54.265625 \n",
       "C 35.40625 58.78125 35.5 60.984375 35.796875 64.28125 \n",
       "L 51.296875 64.28125 \n",
       "C 54.09375 64.28125 55.203125 63.390625 55.296875 61 \n",
       "L 55.703125 53.125 \n",
       "L 58.796875 53.125 \n",
       "C 58.796875 59.53125 59 63.375 59.5 69 \n",
       "C 52.296875 69 49 69 46.203125 69 \n",
       "C 42.296875 69 39.40625 69 37.90625 69 \n",
       "L 22.09375 69 \n",
       "C 21.09375 69 15.703125 69 8.59375 69 \n",
       "L 1.796875 69 \n",
       "C 2.296875 63.375 2.5 59.53125 2.5 53.125 \n",
       "L 5.59375 53.125 \n",
       "L 6 61 \n",
       "C 6.09375 63.390625 7.203125 64.28125 10 64.28125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-84\"/>\n",
       "      <path d=\"M 0.703125 66.375 \n",
       "L 6.296875 66.375 \n",
       "C 8.09375 66.375 8.796875 65.265625 8.796875 62.25 \n",
       "L 8.796875 10.046875 \n",
       "C 8.796875 3.703125 8.5 3 5.09375 3 \n",
       "L 0.59375 3 \n",
       "L 0.59375 -0.109375 \n",
       "C 7.40625 -0.109375 10.09375 -0.109375 13 -0.109375 \n",
       "C 15.90625 -0.109375 18.59375 -0.109375 25.40625 -0.109375 \n",
       "L 25.40625 3 \n",
       "L 20.90625 3 \n",
       "C 17.5 3 17.203125 3.703125 17.203125 10.046875 \n",
       "L 17.203125 31.421875 \n",
       "C 17.203125 35.9375 23.796875 40.875 29.90625 40.875 \n",
       "C 36.59375 40.875 41 35.890625 41 28.21875 \n",
       "L 41 -0.109375 \n",
       "C 47.09375 -0.109375 47.203125 -0.109375 48.90625 -0.109375 \n",
       "C 50.296875 -0.109375 50.296875 -0.109375 57.203125 -0.109375 \n",
       "L 57.203125 2.796875 \n",
       "L 53.09375 3.203125 \n",
       "C 49.703125 3.203125 49.40625 3.8125 49.40625 10.21875 \n",
       "L 49.40625 29.5625 \n",
       "C 49.40625 41.28125 43.90625 47 32.703125 47 \n",
       "C 29 47 26.90625 46.296875 24.796875 44.484375 \n",
       "L 17.203125 37.875 \n",
       "L 17.203125 72.078125 \n",
       "L 16.296875 72.890625 \n",
       "C 11.90625 71.1875 8.59375 70.375 0.703125 69.171875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-104\"/>\n",
       "      <path d=\"M 18.796875 46.765625 \n",
       "L 17.90625 47.171875 \n",
       "C 12.796875 45.0625 7.59375 43.640625 2.296875 43.046875 \n",
       "L 2.296875 40.25 \n",
       "L 6 40.25 \n",
       "C 10 40.25 10.40625 39.546875 10.40625 32.890625 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.171875 \n",
       "z\n",
       "M 14.203125 69 \n",
       "C 11.203125 69 8.59375 66.390625 8.59375 63.375 \n",
       "C 8.59375 60.46875 11.203125 57.875 14.09375 57.875 \n",
       "C 17 57.875 19.703125 60.46875 19.703125 63.375 \n",
       "C 19.703125 66.1875 17 69 14.203125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-105\"/>\n",
       "      <path d=\"M 1.796875 40.078125 \n",
       "L 5.5 40.078125 \n",
       "C 9.5 40.078125 9.90625 39.375 9.90625 32.71875 \n",
       "L 9.90625 10.046875 \n",
       "C 9.90625 3.703125 9.59375 3 6.203125 3 \n",
       "L 1.59375 3 \n",
       "L 1.59375 -0.109375 \n",
       "C 11.203125 -0.109375 11.5 -0.109375 14.296875 -0.109375 \n",
       "C 17.09375 -0.109375 19.703125 -0.109375 26.203125 -0.109375 \n",
       "L 26.203125 2.796875 \n",
       "L 22 3.203125 \n",
       "C 18.59375 3.203125 18.296875 3.90625 18.296875 10.21875 \n",
       "L 18.296875 31.46875 \n",
       "C 18.296875 35.96875 24.90625 40.875 30.90625 40.875 \n",
       "C 36.296875 40.875 40 35.734375 40 28.09375 \n",
       "L 40 10.046875 \n",
       "C 40 3.703125 39.703125 3 36.296875 3 \n",
       "L 31.703125 3 \n",
       "L 31.703125 -0.109375 \n",
       "C 41.703125 -0.109375 41.703125 -0.109375 44.203125 -0.109375 \n",
       "C 46.703125 -0.109375 46.703125 -0.109375 56.703125 -0.109375 \n",
       "L 56.703125 3 \n",
       "L 52.09375 3 \n",
       "C 48.703125 3 48.40625 3.703125 48.40625 10.046875 \n",
       "L 48.40625 31.421875 \n",
       "C 48.40625 35.9375 55 40.875 61 40.875 \n",
       "C 66.40625 40.875 70.09375 35.796875 70.09375 28.21875 \n",
       "L 70.09375 -0.109375 \n",
       "C 76.203125 -0.109375 76.296875 -0.109375 78 -0.109375 \n",
       "C 79.296875 -0.109375 79.296875 -0.109375 86.90625 -0.109375 \n",
       "L 86.90625 3 \n",
       "L 82.203125 3 \n",
       "C 78.796875 3 78.5 3.703125 78.5 10.046875 \n",
       "L 78.5 30.78125 \n",
       "C 78.5 40.75 72.703125 47 63.5 47 \n",
       "C 60 47 57.09375 46.09375 55.296875 44.484375 \n",
       "L 47.703125 37.6875 \n",
       "C 44.5 44.28125 40.40625 47 33.5 47 \n",
       "C 29.796875 47 27 46.09375 25.203125 44.484375 \n",
       "L 18.296875 38.078125 \n",
       "L 18.296875 46.59375 \n",
       "L 17.40625 47 \n",
       "C 12.296875 44.890625 7.09375 43.484375 1.796875 42.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-109\"/>\n",
       "      <path d=\"M 1 40.078125 \n",
       "L 4.703125 40.078125 \n",
       "C 8.703125 40.078125 9.09375 39.375 9.09375 32.734375 \n",
       "L 9.09375 -17.84375 \n",
       "C 9.09375 -24.1875 8.796875 -24.890625 5.40625 -24.890625 \n",
       "L 0.796875 -24.890625 \n",
       "L 0.796875 -28 \n",
       "C 10.796875 -28 10.796875 -28 13.296875 -28 \n",
       "C 15.796875 -28 15.796875 -28 25.796875 -28 \n",
       "L 25.796875 -24.890625 \n",
       "L 21.203125 -24.890625 \n",
       "C 17.796875 -24.890625 17.5 -24.171875 17.5 -17.78125 \n",
       "L 17.5 1.390625 \n",
       "C 20.5 -0.40625 23.703125 -1.109375 28.203125 -1.109375 \n",
       "C 31.09375 -1.109375 33.703125 -0.5 35.296875 0.5 \n",
       "L 46.703125 7.890625 \n",
       "C 50.703125 10.5 55.40625 20.78125 55.40625 27.1875 \n",
       "C 55.40625 38.296875 46.203125 47 34.59375 47 \n",
       "C 30.90625 47 27.296875 45.984375 25.703125 44.484375 \n",
       "L 17.5 36.984375 \n",
       "L 17.5 46.59375 \n",
       "L 16.59375 47 \n",
       "C 11.5 44.890625 6.296875 43.484375 1 42.890625 \n",
       "z\n",
       "M 17.5 30.6875 \n",
       "C 17.5 32.078125 18 33.1875 19.296875 34.890625 \n",
       "C 22.203125 38.578125 26.296875 40.484375 31.296875 40.484375 \n",
       "C 40.703125 40.484375 46.703125 33.890625 46.703125 23.5 \n",
       "C 46.703125 12.296875 40 4 31 4 \n",
       "C 25.5 4 21.40625 5.8125 17.5 9.890625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-112\"/>\n",
       "      <path d=\"M 50.296875 47.015625 \n",
       "L 49.40625 47.421875 \n",
       "C 44.296875 45.3125 39.09375 43.90625 33.796875 43.3125 \n",
       "L 33.796875 40.5 \n",
       "L 37.5 40.5 \n",
       "C 41.5 40.5 41.90625 39.796875 41.90625 33.140625 \n",
       "L 41.90625 16.71875 \n",
       "C 41.90625 14.5 40.5 11.671875 38.203125 9.359375 \n",
       "C 35.40625 6.53125 32.203125 5.109375 28.296875 5.109375 \n",
       "C 24.796875 5.109375 22 6.21875 20.40625 8.140625 \n",
       "C 19 9.75 18.296875 12.875 18.296875 17.296875 \n",
       "L 18.296875 47.015625 \n",
       "L 17.40625 47.421875 \n",
       "C 12.296875 45.3125 7.09375 43.90625 1.796875 43.3125 \n",
       "L 1.796875 40.5 \n",
       "L 5.5 40.5 \n",
       "C 9.5 40.5 9.90625 39.796875 9.90625 33.15625 \n",
       "L 9.90625 16.234375 \n",
       "C 9.90625 9.171875 10.5 6.046875 12.296875 3.546875 \n",
       "C 14.5 0.515625 18.296875 -1 24 -1 \n",
       "C 28.5 -1 32.5 0.40625 35.203125 2.90625 \n",
       "L 41.90625 9.140625 \n",
       "C 41.90625 6.265625 41.796875 4.65625 41.5 0 \n",
       "C 48.203125 0 48.296875 0 49.796875 0 \n",
       "C 51.203125 0 51.203125 0 58.09375 0 \n",
       "L 58.09375 2.90625 \n",
       "L 54 3.3125 \n",
       "C 50.59375 3.3125 50.296875 3.921875 50.296875 10.375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-117\"/>\n",
       "      <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.59375 0 \n",
       "C 17.09375 0 17.09375 0 27.09375 0 \n",
       "L 27.09375 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.15625 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-108\"/>\n",
       "      <path d=\"M 4.09375 14.328125 \n",
       "C 4.09375 7.421875 3.796875 4.40625 3 0.40625 \n",
       "C 8.203125 -1.296875 12.09375 -2 16.703125 -2 \n",
       "C 29.796875 -2 39.09375 5.015625 39.09375 14.828125 \n",
       "C 39.09375 17.9375 38.203125 20.234375 36.296875 22.25 \n",
       "C 33.703125 24.75 30.40625 25.953125 21.59375 27.65625 \n",
       "C 13.40625 29.265625 10.703125 31.265625 10.703125 35.875 \n",
       "C 10.703125 40.875 14.203125 43.6875 20.296875 43.6875 \n",
       "C 27 43.6875 32.09375 40.1875 32.09375 35.46875 \n",
       "L 32.09375 33.171875 \n",
       "L 34.90625 33.171875 \n",
       "C 35 38.984375 35.09375 41.375 35.40625 44.484375 \n",
       "C 30.09375 46.296875 26.5 47 22.40625 47 \n",
       "C 10.796875 47 3.703125 41.484375 3.703125 32.46875 \n",
       "C 3.703125 27.65625 5.90625 24.25 10.5 22.140625 \n",
       "C 13.203125 20.9375 18.5 19.34375 25.296875 17.828125 \n",
       "C 29.796875 16.828125 31.703125 14.734375 31.703125 10.921875 \n",
       "C 31.703125 5.515625 26.703125 1.703125 19.59375 1.703125 \n",
       "C 12.296875 1.703125 7.09375 5.203125 7.09375 10.21875 \n",
       "L 7.09375 14.328125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-115\"/>\n",
       "      <path d=\"M 27.90625 47 \n",
       "C 13.296875 47 3.203125 36.671875 3.203125 21.75 \n",
       "C 3.203125 7.609375 12.09375 -2 25 -2 \n",
       "C 40.40625 -2 51.40625 8.71875 51.40625 23.75 \n",
       "C 51.40625 37.28125 41.59375 47 27.90625 47 \n",
       "z\n",
       "M 26.09375 43.6875 \n",
       "C 35.296875 43.6875 42.09375 33.671875 42.09375 20.046875 \n",
       "C 42.09375 8.515625 37 1.296875 28.90625 1.296875 \n",
       "C 19.09375 1.296875 12.5 10.921875 12.5 25.15625 \n",
       "C 12.5 37.171875 17.296875 43.6875 26.09375 43.6875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-111\"/>\n",
       "      <path d=\"M 34.09375 71.890625 \n",
       "C 32 72.6875 30.796875 73 29.5 73 \n",
       "C 26.296875 73 22.796875 71.296875 20.59375 68.8125 \n",
       "L 14.796875 62.265625 \n",
       "C 11.90625 58.984375 10.59375 54.53125 10.59375 47.96875 \n",
       "L 10.59375 43.796875 \n",
       "L 3.703125 40.6875 \n",
       "L 3.703125 38.6875 \n",
       "L 10.59375 38.6875 \n",
       "L 10.59375 10.171875 \n",
       "C 10.59375 3.8125 10.296875 3.109375 6.90625 3.109375 \n",
       "L 2.296875 3.109375 \n",
       "L 2.296875 0 \n",
       "C 12.296875 0 12.296875 0 14.796875 0 \n",
       "C 17.296875 0 17.296875 0 27.296875 0 \n",
       "L 27.296875 3.109375 \n",
       "L 22.703125 3.109375 \n",
       "C 19.296875 3.109375 19 3.828125 19 10.203125 \n",
       "L 19 38.890625 \n",
       "L 31.40625 38.890625 \n",
       "L 32.09375 44 \n",
       "L 19 44 \n",
       "L 19 52.34375 \n",
       "C 19 63.640625 20.296875 66.375 26 66.375 \n",
       "C 28.703125 66.375 30.5 65.6875 32.90625 63.609375 \n",
       "L 34.09375 64.203125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-102\"/>\n",
       "      <path d=\"M 32.40625 8.40625 \n",
       "L 31.90625 -0.015625 \n",
       "C 38.40625 -0.015625 38.40625 -0.015625 39.703125 -0.015625 \n",
       "C 40.203125 -0.015625 42.703125 -0.015625 47.09375 -0.015625 \n",
       "L 47.09375 3 \n",
       "L 43.203125 3 \n",
       "C 40.796875 3 40.40625 3.8125 40.40625 8.71875 \n",
       "L 40.40625 27.046875 \n",
       "C 40.40625 41.6875 36.203125 47 24.59375 47 \n",
       "C 20.296875 47 16.296875 45.890625 12.5 43.609375 \n",
       "L 7.203125 40.390625 \n",
       "L 7.203125 33.921875 \n",
       "L 9.796875 33.21875 \n",
       "L 11.09375 36.296875 \n",
       "C 13.203125 40.984375 14.203125 41.6875 18.796875 41.6875 \n",
       "C 28.203125 41.6875 32.09375 37.984375 32.40625 28.9375 \n",
       "L 22.5 27.125 \n",
       "C 8.90625 24.640625 3.203125 19.953125 3.203125 11.28125 \n",
       "C 3.203125 3.5 7.90625 -1 15.796875 -1 \n",
       "C 17.59375 -1 19.296875 -0.703125 20 -0.203125 \n",
       "z\n",
       "M 32.40625 12.59375 \n",
       "C 29.5 8.5 23.203125 4.71875 19.296875 4.71875 \n",
       "C 15.296875 4.71875 11.796875 8.40625 11.796875 12.6875 \n",
       "C 11.796875 16.375 13.796875 19.859375 16.796875 21.75 \n",
       "C 19.296875 23.25 24.796875 24.640625 32.40625 25.75 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-97\"/>\n",
       "      <path d=\"M 15 72.1875 \n",
       "L 14.09375 73 \n",
       "C 9.703125 71.296875 6.40625 70.484375 -1.5 69.28125 \n",
       "L -1.5 66.484375 \n",
       "L 4.09375 66.484375 \n",
       "C 5.90625 66.484375 6.59375 65.375 6.59375 62.359375 \n",
       "L 6.59375 15.453125 \n",
       "C 6.59375 9.234375 6.5 6.5 5.796875 -0.515625 \n",
       "L 7.40625 -1.109375 \n",
       "L 11.40625 2.5 \n",
       "C 15.40625 -0.109375 19 -1.109375 24.296875 -1.109375 \n",
       "C 28.203125 -1.109375 30.796875 -0.40625 32.90625 1.09375 \n",
       "L 42.90625 8.296875 \n",
       "C 47.296875 11.484375 50.796875 19.78125 50.796875 27.078125 \n",
       "C 50.796875 38.6875 43.296875 47 32.703125 47 \n",
       "C 28 47 23.09375 45.1875 20.5 42.578125 \n",
       "L 15 36.984375 \n",
       "z\n",
       "M 15 30.890625 \n",
       "C 15 32.28125 16 34.078125 17.59375 35.890625 \n",
       "C 20.40625 38.78125 24.296875 40.484375 28.40625 40.484375 \n",
       "C 36.796875 40.484375 42.09375 33.6875 42.09375 23 \n",
       "C 42.09375 11.796875 36.09375 4 27.59375 4 \n",
       "C 22.40625 4 15 7.1875 15 9.390625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-98\"/>\n",
       "      <path d=\"M 41.203125 43.78125 \n",
       "C 35.59375 46.1875 32.796875 47 29.296875 47 \n",
       "C 26.59375 47 24.203125 46.390625 21.703125 45.109375 \n",
       "L 12.90625 40.515625 \n",
       "C 7.203125 37.515625 3.5 30.234375 3.5 21.75 \n",
       "C 3.5 13.765625 6.203125 7.1875 11.09375 3.1875 \n",
       "C 14.5 0.296875 19.203125 -1 25.703125 -1 \n",
       "C 27.703125 -1 30 -0.59375 30.5 -0.203125 \n",
       "L 41.59375 9.109375 \n",
       "L 41.09375 -0.109375 \n",
       "C 46 -0.109375 47.59375 -0.109375 48.796875 -0.109375 \n",
       "C 49.59375 -0.109375 51 -0.109375 53.09375 -0.109375 \n",
       "C 53.796875 -0.109375 55.796875 -0.109375 57.90625 -0.109375 \n",
       "L 57.90625 3 \n",
       "L 53.296875 3 \n",
       "C 49.90625 3 49.59375 3.703125 49.59375 10.046875 \n",
       "L 49.59375 71.984375 \n",
       "L 48.703125 72.796875 \n",
       "C 44.296875 71.09375 41 70.28125 33.09375 69.078125 \n",
       "L 33.09375 66.28125 \n",
       "L 38.703125 66.28125 \n",
       "C 40.5 66.28125 41.203125 65.171875 41.203125 62.15625 \n",
       "z\n",
       "M 41.203125 22.25 \n",
       "C 41.203125 15.765625 41 14.78125 39.703125 12.484375 \n",
       "C 36.90625 7.796875 32 4.71875 27.296875 4.71875 \n",
       "C 18.5 4.71875 12.203125 13.1875 12.203125 25.046875 \n",
       "C 12.203125 35.90625 17.59375 42.28125 26.59375 42.28125 \n",
       "C 30.40625 42.28125 34.40625 40.984375 37.90625 38.59375 \n",
       "C 40 37.203125 41.203125 35.90625 41.203125 35.09375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-100\"/>\n",
       "      <path d=\"M 53.90625 43 \n",
       "L 53.90625 45.8125 \n",
       "C 47.90625 45.8125 46.09375 45.8125 44.5 45.8125 \n",
       "C 42.90625 45.8125 41.09375 45.8125 35.09375 45.8125 \n",
       "L 35.09375 43 \n",
       "L 39.203125 43 \n",
       "C 40.796875 43 41.59375 42.09375 41.59375 40.484375 \n",
       "C 41.59375 38.890625 40.90625 36.203125 39.703125 33.1875 \n",
       "L 35.5 22.578125 \n",
       "C 34.296875 19.671875 33.09375 16.875 29.296875 8.578125 \n",
       "L 17.40625 37.390625 \n",
       "C 16.796875 38.78125 16.5 40.09375 16.5 41.1875 \n",
       "C 16.5 42.296875 17.40625 43 19 43 \n",
       "L 23.90625 43 \n",
       "L 23.90625 45.8125 \n",
       "C 14.09375 45.8125 14.09375 45.8125 12.203125 45.8125 \n",
       "C 10.296875 45.8125 5.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43 \n",
       "L 4 43 \n",
       "C 5.5 42.796875 6 42.203125 7.09375 39.703125 \n",
       "L 24.296875 -0.5 \n",
       "L 29.296875 -0.5 \n",
       "C 29.90625 1.203125 30.90625 3.796875 30.90625 4 \n",
       "C 32 6.984375 33.296875 10.375 33.40625 10.375 \n",
       "L 45.203125 36.3125 \n",
       "C 47.40625 41.015625 48.796875 42.796875 50.796875 43 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-118\"/>\n",
       "      <path d=\"M 29.703125 8.8125 \n",
       "C 27.5 12.625 26.40625 14.9375 24.59375 19.84375 \n",
       "L 18.203125 36.671875 \n",
       "C 17.59375 38.375 17.203125 39.875 17.203125 40.90625 \n",
       "C 17.203125 42.34375 18.296875 43.1875 20.59375 43.1875 \n",
       "L 24.40625 43.1875 \n",
       "L 24.40625 46 \n",
       "C 14.703125 46 14.703125 46 12.796875 46 \n",
       "C 10.90625 46 10.90625 46 1.203125 46 \n",
       "L 1.203125 43.390625 \n",
       "L 3 43.1875 \n",
       "C 5.5 42.890625 6.703125 41.78125 8.203125 38.296875 \n",
       "L 19.09375 12.109375 \n",
       "C 21.90625 5.3125 22.90625 2.90625 24.703125 -2.09375 \n",
       "L 22.40625 -8.1875 \n",
       "C 19.203125 -16.59375 15.296875 -21.28125 11.5 -21.28125 \n",
       "C 9.90625 -21.28125 8.09375 -20.484375 6.40625 -18.984375 \n",
       "L 5.09375 -18.984375 \n",
       "L 2.703125 -26.5 \n",
       "C 4.59375 -27.5 6.203125 -28 8.09375 -28 \n",
       "C 14.796875 -28 19.09375 -24.40625 22.90625 -15.703125 \n",
       "L 43.203125 31.09375 \n",
       "C 47.203125 40.1875 49.09375 42.890625 51.59375 43.1875 \n",
       "L 54.40625 43.390625 \n",
       "L 54.40625 46 \n",
       "C 46.5 46 46.5 46 44.90625 46 \n",
       "C 43.296875 46 43.296875 46 35.40625 46 \n",
       "L 35.40625 43.390625 \n",
       "L 38 43.1875 \n",
       "C 40.796875 42.984375 42.203125 42.09375 42.203125 40.6875 \n",
       "C 42.203125 39.984375 42 39.078125 41.59375 38.078125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-121\"/>\n",
       "      <path d=\"M 2.296875 66.5 \n",
       "L 7.90625 66.5 \n",
       "C 9.703125 66.5 10.40625 65.390625 10.40625 62.375 \n",
       "L 10.40625 10.171875 \n",
       "C 10.40625 3.8125 10.09375 3.109375 6.703125 3.109375 \n",
       "L 2.09375 3.109375 \n",
       "L 2.09375 0 \n",
       "C 12.09375 0 12.09375 0 14.703125 0 \n",
       "C 17.5 0 18 0 26.90625 0 \n",
       "L 26.90625 3.109375 \n",
       "L 22.5 3.109375 \n",
       "C 19.09375 3.109375 18.796875 3.8125 18.796875 10.1875 \n",
       "L 18.796875 24.15625 \n",
       "L 45.296875 -1 \n",
       "L 54.90625 1.90625 \n",
       "L 54.90625 4.21875 \n",
       "C 52.5 4.21875 49.59375 5.921875 46.40625 9 \n",
       "L 33.796875 21.46875 \n",
       "C 30.203125 24.953125 29.09375 26.265625 27.40625 28.25 \n",
       "L 40.296875 38.265625 \n",
       "C 45 41.828125 47.703125 43 51.09375 43 \n",
       "L 51.09375 46 \n",
       "L 41.09375 46 \n",
       "C 34.703125 39.625 30 35.234375 26.09375 32.140625 \n",
       "L 18.796875 26.25 \n",
       "L 18.796875 72.203125 \n",
       "L 17.90625 73.015625 \n",
       "C 13.5 71.3125 10.203125 70.5 2.296875 69.296875 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-107\"/>\n",
       "      <path d=\"M 12.40625 11.625 \n",
       "C 9.40625 11.625 6.703125 8.8125 6.703125 5.8125 \n",
       "C 6.703125 2.796875 9.40625 0 12.296875 0 \n",
       "C 15.5 0 18.296875 2.703125 18.296875 5.8125 \n",
       "C 18.296875 8.8125 15.5 11.625 12.40625 11.625 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-46\"/>\n",
       "     </defs>\n",
       "     <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-84\"/>\n",
       "     <use transform=\"translate(61.069832 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(119.051892 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(191.678788 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(220.669149 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "     <use transform=\"translate(308.638823 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(368.513217 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "     <use transform=\"translate(428.586952 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(457.577313 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(499.81878 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(572.445675 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "     <use transform=\"translate(610.004992 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(657.725287 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(699.966754 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(759.841147 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(814.236728 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(872.218788 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(914.460255 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "     <use transform=\"translate(987.08715 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1041.48273 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "     <use transform=\"translate(1099.56456 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "     <use transform=\"translate(1128.554922 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1178.368122 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-98\"/>\n",
       "     <use transform=\"translate(1233.460522 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1287.856102 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "     <use transform=\"translate(1352.114598 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(1381.10496 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     <use transform=\"translate(1439.08702 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(1498.961414 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "     <use transform=\"translate(1559.035149 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1616.418837 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(1648.895925 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1728.198105 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "     <use transform=\"translate(1802.917906 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "     <use transform=\"translate(1862.7923 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "     <use transform=\"translate(1900.351617 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(1954.747197 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "     <use transform=\"translate(2015.618828 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "     <use transform=\"translate(2075.692563 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(2119.926131 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(2152.403219 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(2181.393581 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-118\"/>\n",
       "     <use transform=\"translate(2237.681494 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "     <use transform=\"translate(2266.671856 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "     <use transform=\"translate(2299.148943 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-121\"/>\n",
       "     <use transform=\"translate(2379.447221 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "     <use transform=\"translate(2421.688687 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "     <use transform=\"translate(2479.670748 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "     <use transform=\"translate(2534.066328 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "     <use transform=\"translate(2578.299897 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-107\"/>\n",
       "     <use transform=\"translate(2633.691573 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-46\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 217.579935 53.415428 \n",
       "L 455.624751 53.415428 \n",
       "L 455.624751 19.962883 \n",
       "L 217.579935 19.962883 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_28\">\n",
       "     <path d=\"M 223.979935 29.641633 \n",
       "L 239.979935 29.641633 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_29\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \n",
       "z\n",
       "\" id=\"mb289648c26\" style=\"stroke:#000000;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#000000;stroke-width:1.28;\" x=\"231.979935\" xlink:href=\"#mb289648c26\" y=\"29.641633\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_28\">\n",
       "     <!-- Equilibrium under perfect information -->\n",
       "     <g transform=\"translate(246.379935 32.441633)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 2.203125 66 \n",
       "L 7 66 \n",
       "C 11.59375 66 12.09375 65.1875 12.09375 57.265625 \n",
       "L 12.09375 12.25 \n",
       "C 12.09375 4.3125 11.703125 3.609375 7 3.203125 \n",
       "L 3.40625 2.90625 \n",
       "L 3.40625 0 \n",
       "C 10 0 12.90625 0 15.703125 0 \n",
       "C 16.203125 0 19 0 22.796875 0 \n",
       "C 36.703125 0 36.703125 0 38.90625 0 \n",
       "C 42 0 42 0 55.59375 0 \n",
       "C 55.59375 5.96875 56.203125 11.5 57.203125 16.859375 \n",
       "L 53.703125 16.859375 \n",
       "C 53.5 15.1875 53.296875 13.71875 53.203125 13.3125 \n",
       "C 52.59375 8.8125 51.296875 5.5625 49.90625 5.046875 \n",
       "C 47.796875 4.3125 40.5 4.3125 31.5 4.3125 \n",
       "C 26.296875 4.3125 24.5 4.46875 21.59375 4.921875 \n",
       "L 21.59375 32.8125 \n",
       "C 24.40625 33 27.40625 33 31.90625 33 \n",
       "C 39.296875 33 42 32.71875 43.796875 31.875 \n",
       "L 44.59375 29.53125 \n",
       "L 45.09375 24 \n",
       "L 48.09375 24 \n",
       "C 47.796875 33.3125 47.796875 33.3125 47.796875 35.109375 \n",
       "C 47.796875 36.71875 47.796875 36.71875 48.09375 46.734375 \n",
       "L 45.09375 46.734375 \n",
       "L 44.59375 41.28125 \n",
       "C 44.5 40.328125 44.203125 39.390625 43.796875 38.546875 \n",
       "C 42 37.71875 39.203125 37.40625 32.59375 37.40625 \n",
       "C 28.40625 37.40625 25 37.40625 21.59375 37.40625 \n",
       "L 21.59375 64.328125 \n",
       "C 24.703125 65 26.40625 65 33.296875 65 \n",
       "C 39 65 44.59375 64.53125 47.796875 63.6875 \n",
       "C 50.203125 63.109375 50.5 62.625 50.5 60.4375 \n",
       "L 50.5 54.140625 \n",
       "L 54 54.140625 \n",
       "C 54 60.046875 54.5 64.78125 55.59375 69.109375 \n",
       "C 50.703125 69.109375 47.59375 69.109375 43.203125 69.109375 \n",
       "C 40.703125 69.109375 37.40625 69.109375 33.296875 69.109375 \n",
       "C 27 69.109375 22.703125 69.109375 20 69.109375 \n",
       "C 16.59375 69.109375 12.09375 69.109375 2.203125 69.109375 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-69\"/>\n",
       "       <path d=\"M 39.296875 6.8125 \n",
       "L 39.296875 -17.78125 \n",
       "C 39.296875 -24.171875 38.90625 -24.890625 35.59375 -24.890625 \n",
       "L 29.796875 -24.890625 \n",
       "L 29.796875 -28 \n",
       "C 41.40625 -28 41.40625 -28 43.703125 -28 \n",
       "C 46.09375 -28 48.90625 -28 56 -28 \n",
       "L 56 -24.890625 \n",
       "L 51.40625 -24.890625 \n",
       "C 48 -24.890625 47.703125 -24.1875 47.703125 -17.859375 \n",
       "L 47.703125 31.8125 \n",
       "C 47.703125 38.046875 48.296875 41.875 50 45.6875 \n",
       "L 48.09375 46.796875 \n",
       "L 43.203125 43.6875 \n",
       "C 38.09375 45.984375 33.796875 47 29.5 47 \n",
       "C 26.59375 47 23.09375 46.1875 21.59375 45.296875 \n",
       "L 13.203125 39.90625 \n",
       "C 6.796875 35.8125 3.5 29.234375 3.5 20.546875 \n",
       "C 3.5 7.484375 11.40625 -1 23.796875 -1 \n",
       "C 25.90625 -1 27.59375 -0.59375 28.90625 0.203125 \n",
       "z\n",
       "M 39.296875 12.203125 \n",
       "C 39.296875 10.796875 36.90625 8.203125 34.203125 6.703125 \n",
       "C 31.796875 5.40625 29.5 4.71875 27.09375 4.71875 \n",
       "C 18.296875 4.71875 12.203125 12.875 12.203125 24.9375 \n",
       "C 12.203125 35.90625 17.796875 42.28125 27.40625 42.28125 \n",
       "C 32.296875 42.28125 35.796875 41.09375 39.296875 38.203125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-113\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-69\"/>\n",
       "      <use transform=\"translate(60.871631 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-113\"/>\n",
       "      <use transform=\"translate(116.662263 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(176.735998 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(205.726359 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(234.716721 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(263.707082 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-98\"/>\n",
       "      <use transform=\"translate(318.799482 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(358.151378 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(387.14174 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(447.215474 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(560.091749 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(620.165484 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(678.147544 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-100\"/>\n",
       "      <use transform=\"translate(739.019175 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(786.73947 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(850.997967 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-112\"/>\n",
       "      <use transform=\"translate(910.87236 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(958.592655 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(997.944552 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(1031.119782 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(1078.840077 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "      <use transform=\"translate(1123.073645 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1180.457333 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1209.447695 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(1267.429756 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-102\"/>\n",
       "      <use transform=\"translate(1300.604985 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1355.000566 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(1394.352462 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(1482.322136 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1532.135337 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1564.612424 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1593.602786 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1647.998366 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_30\">\n",
       "     <path d=\"M 223.979935 41.967906 \n",
       "L 239.979935 41.967906 \n",
       "\" style=\"fill:none;stroke:#666666;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_31\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 2.262742 2.262742 \n",
       "L 1.182566 0.489835 \n",
       "L 3.2 0 \n",
       "L 1.182566 -0.489835 \n",
       "L 2.262742 -2.262742 \n",
       "L 0.489835 -1.182566 \n",
       "L 0 -3.2 \n",
       "L -0.489835 -1.182566 \n",
       "L -2.262742 -2.262742 \n",
       "L -1.182566 -0.489835 \n",
       "L -3.2 -0 \n",
       "L -1.182566 0.489835 \n",
       "L -2.262742 2.262742 \n",
       "L -0.489835 1.182566 \n",
       "L -0 3.2 \n",
       "L 0.489835 1.182566 \n",
       "L 0 3.2 \n",
       "\" id=\"mda932e8a2c\" style=\"stroke:#666666;stroke-width:1.28;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill:#666666;stroke:#666666;stroke-width:1.28;\" x=\"231.979935\" xlink:href=\"#mda932e8a2c\" y=\"41.967906\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_29\">\n",
       "     <!-- Equilibirum when firms are subject to rational inattention -->\n",
       "     <g transform=\"translate(246.379935 44.767906)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path d=\"M 41.296875 47 \n",
       "C 33.09375 27.9375 31.59375 24.546875 25.40625 10.578125 \n",
       "L 17 38.1875 \n",
       "C 16.703125 39.09375 16.59375 39.890625 16.59375 40.6875 \n",
       "C 16.59375 42.1875 17.90625 43 20.40625 43 \n",
       "L 24.40625 43 \n",
       "L 24.40625 45.8125 \n",
       "C 14.5 45.8125 14.5 45.8125 12.5 45.8125 \n",
       "C 10.5 45.8125 10.5 45.8125 0.59375 45.8125 \n",
       "L 0.59375 43.203125 \n",
       "L 3.40625 43 \n",
       "C 6.203125 42.796875 7.5 40.8125 10 33.03125 \n",
       "L 20.203125 -0.5 \n",
       "L 24.90625 -0.5 \n",
       "L 34.703125 22.453125 \n",
       "C 35.203125 23.65625 36.296875 26.046875 37.90625 29.4375 \n",
       "L 39.90625 33.625 \n",
       "L 53.5 -0.5 \n",
       "L 58.09375 -0.5 \n",
       "C 58.796875 1.59375 59.59375 3.890625 60.40625 6.078125 \n",
       "C 62.40625 11.984375 64.59375 18.15625 65 18.765625 \n",
       "L 71.796875 34.3125 \n",
       "C 74.796875 41.015625 76 42.703125 78.203125 43 \n",
       "L 80.796875 43.203125 \n",
       "L 80.796875 45.8125 \n",
       "C 72.59375 45.8125 72.59375 45.8125 71 45.8125 \n",
       "C 69.40625 45.8125 69.40625 45.8125 61.203125 45.8125 \n",
       "L 61.203125 43 \n",
       "L 64.59375 43 \n",
       "C 67.09375 43 68.5 41.796875 68.5 39.984375 \n",
       "C 68.5 38.890625 68.296875 37.6875 67.796875 36.390625 \n",
       "L 62.796875 22.390625 \n",
       "C 62 20.1875 61.203125 18.171875 58 9.96875 \n",
       "L 46.5 38.90625 \n",
       "C 45.09375 42.296875 44.40625 44.296875 43.59375 47 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-119\"/>\n",
       "       <path d=\"M 34.09375 71.921875 \n",
       "C 32 72.703125 30.796875 73 29.5 73 \n",
       "C 26.296875 73 22.796875 71.296875 20.59375 68.8125 \n",
       "L 14.796875 62.265625 \n",
       "C 11.90625 58.984375 10.59375 54.53125 10.59375 47.96875 \n",
       "L 10.59375 43.796875 \n",
       "L 3.703125 40.6875 \n",
       "L 3.703125 38.6875 \n",
       "L 10.59375 38.6875 \n",
       "L 10.59375 10.171875 \n",
       "C 10.59375 3.8125 10.296875 3.109375 6.90625 3.109375 \n",
       "L 2.296875 3.109375 \n",
       "L 2.296875 0 \n",
       "C 12.296875 0 12.296875 0 14.90625 0 \n",
       "C 17.296875 0 20.09375 0 27.90625 0 \n",
       "L 27.90625 3.109375 \n",
       "L 22.703125 3.109375 \n",
       "C 19.296875 3.109375 19 3.828125 19 10.203125 \n",
       "L 19 38.890625 \n",
       "L 30.40625 38.890625 \n",
       "L 31.09375 44 \n",
       "L 19 44 \n",
       "L 19 52.34375 \n",
       "C 19 63.640625 20.296875 66.375 26 66.375 \n",
       "C 28.703125 66.375 30.5 65.6875 32.90625 63.609375 \n",
       "L 34.09375 64.203125 \n",
       "z\n",
       "M 50.40625 46.578125 \n",
       "L 49.5 47.28125 \n",
       "C 45.09375 45.09375 39.796875 43.703125 33.90625 43 \n",
       "L 33.90625 40.1875 \n",
       "L 37.59375 40.1875 \n",
       "C 41.59375 40.1875 42 39.484375 42 32.796875 \n",
       "L 42 10.203125 \n",
       "C 42 3.8125 41.703125 3.109375 38.296875 3.109375 \n",
       "L 33.703125 3.109375 \n",
       "L 33.703125 0 \n",
       "C 43.703125 0 43.703125 0 46.203125 0 \n",
       "C 48.703125 0 48.703125 0 58.703125 0 \n",
       "L 58.703125 3.109375 \n",
       "L 54.09375 3.109375 \n",
       "C 50.703125 3.109375 50.40625 3.8125 50.40625 10.1875 \n",
       "z\n",
       "M 46.703125 69 \n",
       "C 43.703125 69 41.09375 66.390625 41.09375 63.375 \n",
       "C 41.09375 60.46875 43.703125 57.875 46.59375 57.875 \n",
       "C 49.5 57.875 52.203125 60.46875 52.203125 63.375 \n",
       "C 52.203125 66.1875 49.5 69 46.703125 69 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-2\"/>\n",
       "       <path d=\"M 15.90625 46.78125 \n",
       "L 15 47.1875 \n",
       "C 9.90625 45.078125 4.703125 43.671875 -0.59375 43.078125 \n",
       "L -0.59375 40.265625 \n",
       "L 3.09375 40.265625 \n",
       "C 7.09375 40.265625 7.5 39.5625 7.5 32.953125 \n",
       "L 7.5 -0.53125 \n",
       "C 7.5 -10.46875 6.5 -17.578125 4.59375 -20.890625 \n",
       "C 3.40625 -23.1875 1.09375 -24.6875 -1 -24.6875 \n",
       "C -1.59375 -24.6875 -3.203125 -24.5 -4 -24.390625 \n",
       "L -2.796875 -28 \n",
       "C 3 -28 6.796875 -25.890625 10.59375 -20.875 \n",
       "C 14.09375 -16.25 15.90625 -9.796875 15.90625 -1.875 \n",
       "z\n",
       "M 11.203125 69.125 \n",
       "C 8.296875 69.125 5.59375 66.421875 5.59375 63.609375 \n",
       "C 5.59375 60.703125 8.296875 58 11.09375 58 \n",
       "C 14.09375 58 16.703125 60.609375 16.703125 63.609375 \n",
       "C 16.703125 66.515625 14.09375 69.125 11.203125 69.125 \n",
       "z\n",
       "\" id=\"URW_Palladio_L_Roman-106\"/>\n",
       "      </defs>\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-69\"/>\n",
       "      <use transform=\"translate(60.871631 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-113\"/>\n",
       "      <use transform=\"translate(116.662263 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(176.735998 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(205.726359 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(234.716721 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(263.707082 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-98\"/>\n",
       "      <use transform=\"translate(318.799482 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(347.789843 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(386.345166 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(446.418901 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(559.295175 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-119\"/>\n",
       "      <use transform=\"translate(642.383269 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-104\"/>\n",
       "      <use transform=\"translate(700.365329 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(748.085624 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(830.974285 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-2\"/>\n",
       "      <use transform=\"translate(891.247543 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(930.59944 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-109\"/>\n",
       "      <use transform=\"translate(1018.569114 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(1085.717181 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1135.530381 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(1173.089698 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(1245.716594 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-115\"/>\n",
       "      <use transform=\"translate(1287.95806 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-117\"/>\n",
       "      <use transform=\"translate(1348.031795 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-98\"/>\n",
       "      <use transform=\"translate(1403.124194 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-106\"/>\n",
       "      <use transform=\"translate(1426.436508 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(1474.156803 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-99\"/>\n",
       "      <use transform=\"translate(1518.390371 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1575.77406 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1608.251147 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1687.553328 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-114\"/>\n",
       "      <use transform=\"translate(1726.905224 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(1776.718425 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(1809.195513 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(1838.185874 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(1892.581454 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(1950.563515 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(2000.376715 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-108\"/>\n",
       "      <use transform=\"translate(2054.273677 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(2083.264039 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(2141.246099 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-97\"/>\n",
       "      <use transform=\"translate(2191.0593 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(2223.536388 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(2256.013475 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-101\"/>\n",
       "      <use transform=\"translate(2303.733771 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "      <use transform=\"translate(2361.715831 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-116\"/>\n",
       "      <use transform=\"translate(2394.192919 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-105\"/>\n",
       "      <use transform=\"translate(2423.183281 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-111\"/>\n",
       "      <use transform=\"translate(2477.578861 0)scale(0.996264)\" xlink:href=\"#URW_Palladio_L_Roman-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pb74d3b38c2\">\n",
       "   <rect height=\"257.062471\" width=\"426.606375\" x=\"33.018377\" y=\"15.962883\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 46
    }
   ],
   "cell_type": "code",
   "source": [
    "n_opt   = geirfs.a[1,1,:]   ; # Optimal labor input under rational inattention\n",
    "n_fullinfo = σ*1/α*(1-ξ)*Hz ; # Optimal labor input under full information\n",
    "\n",
    "\n",
    "plot(1:30,[n_fullinfo[1:30] n_opt[1:30]],\n",
    "    title       = \"The impulse response of labor input to a productivity shock.\",\n",
    "    ylabel      = \"Percent\",\n",
    "    label       = [\"Equilibrium under perfect information\" \"Equilibirum when firms are subject to rational inattention\"],\n",
    "    legend      = :topright,\n",
    "    color       = [:black :gray40], markerstrokecolor = [:black :gray40],\n",
    "    marker      = [:circle :star8], markercolor = [:false :gray40], markersize = [5 5],\n",
    "    ylim        = (-0.05,0.85),\n",
    "    ytick       = (0:0.1:0.8),\n",
    "    xlim        = (0,30),\n",
    "    xtick       = (0:2:30),\n",
    "    lw          = 1.5,\n",
    "    legendfont  = font(8), titlefont = font(10), tickfont = font(8), guidefont = font(9),\n",
    "    size        = (650,400),\n",
    "    grid        = :off, framestyle = :box)"
   ],
   "metadata": {},
   "execution_count": 46
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
 ],
 "nbformat_minor": 3,
 "metadata": {
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.4.1"
  },
  "kernelspec": {
   "name": "julia-1.4",
   "display_name": "Julia 1.4.1",
   "language": "julia"
  }
 },
 "nbformat": 4
}