Fall23_lec3_computing_all_functions.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# CS 121 Fall 2023 Lecture 3 : Computing all functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".rise-enabled .cell .input_prompt {\n",
       "    display: none;\n",
       "}\n",
       "</style>\n",
       "<!--- <style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<style>\n",
    ".rise-enabled .cell .input_prompt {\n",
    "    display: none;\n",
    "}\n",
    "</style>\n",
    "<!--- <style>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "# Utilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import schemdraw\n",
    "import schemdraw.logic as logic\n",
    "import schemdraw.elements as elm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "COUNTER=0\n",
    "\n",
    "class Bit:\n",
    "    \"\"\"A class representing a logical bit. \n",
    "       Keeps track of operations that are done to it\"\"\"\n",
    " \n",
    "    def __init__(self, program):\n",
    "        self.program = program if isinstance(program,tuple) else (program,)\n",
    "        global COUNTER\n",
    "        COUNTER += 1\n",
    "  \n",
    "    def op(self,oper, other = None):\n",
    "        if other is None:\n",
    "            return Bit((oper,self.program))\n",
    "        return Bit((oper,self.program,other.program))\n",
    "        \n",
    "    def __and__(self,other): return self.op(\"∧\", other)\n",
    "    def __or__(self,other): return self.op(\"∨\", other)\n",
    "    def __invert__(self): return self.op(\"¬\")\n",
    "    \n",
    "    def __repr__(self): return f\"Bit({self.program})\" \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def AND(a,b): \n",
    "    if isinstance(a,int) and isinstance(b,int):\n",
    "        return int(bool(a) and bool(b))\n",
    "    if isinstance(a,bool) and isinstance(b,bool):\n",
    "        return a and b\n",
    "    return a & b\n",
    "\n",
    "def OR(a,b): \n",
    "    if isinstance(a,int) and isinstance(b,int):\n",
    "        return int(bool(a) or bool(b))\n",
    "    if isinstance(a,bool) or isinstance(b,bool):\n",
    "        return a and b\n",
    "    return a | b\n",
    "\n",
    "def NOT(a): \n",
    "    if isinstance(a,Bit): return ~a\n",
    "    if isinstance(a,int): return int(not a)\n",
    "    return not a\n",
    "\n",
    "def NAND(a,b):\n",
    "    if isinstance(a,Bit) and isinstance(b,Bit):\n",
    "        return a.op(\"N\",b)\n",
    "    return NOT(AND(a,b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "a = Bit(\"a\")\n",
    "b = Bit(\"b\")\n",
    "c = a & b\n",
    "print(a)\n",
    "print(b)\n",
    "print(c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def bits(n):\n",
    "    return [Bit(f\"X[{i}]\") for i in range(n)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def p2f(P):\n",
    "  \"\"\"Recursive function to transform a program of a Bit into a formula\"\"\"\n",
    "  if len(P)==1:\n",
    "    return P[0]\n",
    "  if len(P)==2:\n",
    "    return P[0] + p2f(P[1])\n",
    "  if len(P)==3:\n",
    "    return f\"({p2f(P[1])} {P[0]} {p2f(P[2])})\"\n",
    "  return f\"{P[0]}(\"+\",\".join([p2f(P[i]) for i in range(1,len(P))])+\")\"\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "counter = 0\n",
    "def AON_(P):\n",
    "    \"\"\"Recursive function to transform a program of a bit into an AON straightline program\"\"\"\n",
    "    def uid():\n",
    "        global counter\n",
    "        counter +=1\n",
    "        return f\"z_{counter}\"\n",
    "    funcs = {\"∧\": \"AND\", \"∨\": \"OR\", \"¬\": \"NOT\", \"N\":\"NAND\" }\n",
    "    if len(P)==1:\n",
    "        return \"\",P[0]\n",
    "    op = funcs[P[0]]  \n",
    "    if len(P)==2:\n",
    "        prog, out_ = AON_(P[1])\n",
    "        out = uid() \n",
    "        return prog+f\"{out} = {op}({out_})\\n\", out\n",
    "    if len(P)==3:\n",
    "        prog1,out1 = AON_(P[1])\n",
    "        prog2,out2 = AON_(P[2])\n",
    "        out = uid()\n",
    "        return prog1+prog2+f\"{out} = {op}({out1},{out2})\\n\", out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def AON(f, n=None):\n",
    "    \"\"\"Take either a function or a bit and return the AON program\"\"\"\n",
    "    global counter\n",
    "    counter = 0\n",
    "    if isinstance(f,Bit):\n",
    "        P = f.program\n",
    "    else:\n",
    "        if n is None:\n",
    "            n = len(signature(f).parameters)\n",
    "        P = f(*bits(n)).program\n",
    "    prog, out = AON_(P)\n",
    "    return prog.replace(out,\"Y[0]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def formula(f):\n",
    "    \"\"\"Take either a function or a bit and return the AON program\"\"\"\n",
    "    if isinstance(f,Bit):\n",
    "        return Math(p2f(f.program))\n",
    "    n = len(signature(f).parameters)\n",
    "    F = p2f(f(*bits(n)).program)\n",
    "    return Math(F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def circuit_(P, d : schemdraw.Drawing , dx=0, dy=0, drawn = {}):\n",
    "  \"\"\"Recursive function to draw a circuit. Gets the Bit bit and outputs the circuit used to compute it\"\"\"\n",
    "  if P in drawn:\n",
    "    return drawn[P]\n",
    "  maxx = dx\n",
    "  maxy = dy\n",
    "  outs = []\n",
    "  gates = { \"∧\" : logic.And, \"∨\" : logic.Or, \"¬\": logic.Not, \"N\": logic.Nand } \n",
    "  for c in P[1:]:\n",
    "    dx_ , dy_ , out = circuit_(c,d,dx,dy ,drawn)\n",
    "    outs.append(out)\n",
    "    maxx = max(dx_,maxx)\n",
    "    maxy = max(dy_,maxy)\n",
    "    dy = dy_ + 1\n",
    "  maxx += 2\n",
    "  x,y = maxx,maxy\n",
    "  gate = gates[P[0]] if P[0] in gates else logic.Dot\n",
    "  g = gate(at = (x,y))\n",
    "  if isinstance(g, logic.Dot):\n",
    "    g.label(f\"{P[0]}\")\n",
    "  d += g\n",
    "  for i,out in enumerate(outs):\n",
    "    loc = getattr(g,f\"in{i+1}\") \n",
    "    d += logic.Wire().at(out).to(loc)  \n",
    "  drawn[P] =  x,y, g.out if hasattr(g,\"out\") else (x,y)\n",
    "  return drawn[P]\n",
    "\n",
    "def draw_circ(*Ys):\n",
    "  drawn = {}\n",
    "  dx,dy = 0,0\n",
    "  with schemdraw.Drawing() as d:\n",
    "    d.config(unit=0.5)\n",
    "    for i,y in enumerate(Ys):\n",
    "      label= f\"$Y[{i}]$\"\n",
    "      x,dy_, out = circuit_(y.program,d,dx,dy, drawn)\n",
    "      d += logic.Dot().at(out).label(label)\n",
    "      dy = dy_+2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def circuit(f,n=None):\n",
    "    \"\"\"Take a function or a bit and output circuit\"\"\"\n",
    "    if isinstance(f,Bit):\n",
    "        res = f\n",
    "    else:\n",
    "        if n is None:\n",
    "            n = len(signature(f).parameters)\n",
    "        res = f(*bits(n))\n",
    "    return draw_circ(*res) if isinstance(res,(tuple,list)) else draw_circ(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def circ_size(f,n=None):\n",
    "    if n is None:\n",
    "        n = len(signature(f).parameters)\n",
    "    global COUNTER\n",
    "    COUNTER = 0\n",
    "    res = f(*bits(n))\n",
    "    return COUNTER-n    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import re\n",
    "def parse(P):\n",
    "    \"\"\"Take an AON program and split each line into components\"\"\"\n",
    "    result  = []\n",
    "    for line in P.split('\\n'):\n",
    "        split = re.split(\"=|\\(|\\)|,| \",line) \n",
    "        split = [x for x in split if x != \"\"]\n",
    "        if split:\n",
    "            result.append(split)\n",
    "    return result\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def evalp(tuples,x, debug=True):\n",
    "    \"\"\"Evaluate a parsed program on an input\"\"\"\n",
    "    variables = { f\"X[{i}]\":x[i] for i in range(len(x)) }\n",
    "    for rhs,op,*oper in tuples:\n",
    "        if debug: print(f\"Evaluating {rhs} = {op}({','.join(oper)}):\\t variables = {variables}\")\n",
    "        oper = [variables[o] for o in oper]\n",
    "        variables[rhs] = globals()[op](*oper)\n",
    "    return variables[\"Y[0]\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def EVAL(P,x, debug=True): \n",
    "    \"\"\"Evaluate an AON-CIRC program on an input x\"\"\"\n",
    "    return evalp(parse(P),x, debug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def nparams(P): \n",
    "    \"\"\"Returns number of parameters of an AON-CIRC program P\"\"\"\n",
    "    for i in range(len(P)+1):\n",
    "        if f'X[{i}]' not in P: return i\n",
    "def FUNC(P):\n",
    "    \"\"\"Returns the function that AON-CIRC program P computes\"\"\"\n",
    "    # hack to get signature for small # of params\n",
    "    n = nparams(P)\n",
    "    if n == 1:\n",
    "        def prog(a): return EVAL(P,[a],debug=False)\n",
    "    elif n ==2:\n",
    "        def prog(a,b): return EVAL(P,[a,b],debug=False)\n",
    "    elif n ==3:\n",
    "        def prog(a,b,c): return EVAL(P,[a,b,c],debug=False)\n",
    "    else:\n",
    "        def prog(*x): return EVAL(P,x,debug=False)\n",
    "    return prog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import itertools\n",
    "from IPython.display import Markdown, display, Math\n",
    "from inspect import signature\n",
    "\n",
    "def table(f,n=None):\n",
    "  \"\"\"Generate truth table of a function\"\"\"\n",
    "  if n is None:\n",
    "    n = len(signature(f).parameters)\n",
    "  m = max(n+2,len(f.__name__)+4)\n",
    "  res = \"x\".ljust(m) + \" | \" + f\"{f.__name__}(x)\".ljust(m) \n",
    "  res += \"\\n\" + \"-\"*m+\"-|-\"+ \"-\"*m \n",
    "  \n",
    "  for x in itertools.product([0,1],repeat=n):\n",
    "    s = \"\".join([str(c) for c in x])\n",
    "    #y = f(*[bool(i) for i in x])\n",
    "    y = f(*x)\n",
    "    #if isinstance(y,(list,tuple)):\n",
    "    #    y = [int(bool(i)) for i in y]\n",
    "    #else:\n",
    "    #    y = int(bool(y))\n",
    "        \n",
    "    res += \"\\n\"+ s.ljust(m) + \" | \" + str(y).ljust(m)\n",
    "  res +=\"\\n\"\n",
    "  return Markdown(res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "source": [
    "# Lecture"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Q:__ Write a circuit (AND/OR/NOT or NAND) that computes $IF:\\{0,1\\}^3\\rightarrow \\{0,1\\}$ such that \n",
    "$$IF(a,b,c) = \\begin{cases}b & a=1 \\\\ c & a=0 \\end{cases}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def IF(cond,a,b):\n",
    "    notcond = NAND(cond,cond)\n",
    "    temp = NAND(b,notcond)\n",
    "    temp1 = NAND(a,cond)\n",
    "    return NAND(temp,temp1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"324pt\" height=\"109.17pt\" viewBox=\"0 0 324 109.17\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:01:17.296003</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 109.17 \n",
       "L 324 109.17 \n",
       "L 324 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 151.02 66.555 \n",
       "C 152.165677 66.555 153.264585 66.099818 154.074701 65.289701 \n",
       "C 154.884818 64.479585 155.34 63.380677 155.34 62.235 \n",
       "C 155.34 61.089323 154.884818 59.990415 154.074701 59.180299 \n",
       "C 153.264585 58.370182 152.165677 57.915 151.02 57.915 \n",
       "C 149.874323 57.915 148.775415 58.370182 147.965299 59.180299 \n",
       "C 147.155182 59.990415 146.7 61.089323 146.7 62.235 \n",
       "C 146.7 63.380677 147.155182 64.479585 147.965299 65.289701 \n",
       "C 148.775415 66.099818 149.874323 66.555 151.02 66.555 \n",
       "L 151.02 66.555 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 223.02 66.555 \n",
       "C 224.165677 66.555 225.264585 66.099818 226.074701 65.289701 \n",
       "C 226.884818 64.479585 227.34 63.380677 227.34 62.235 \n",
       "C 227.34 61.089323 226.884818 59.990415 226.074701 59.180299 \n",
       "C 225.264585 58.370182 224.165677 57.915 223.02 57.915 \n",
       "C 221.874323 57.915 220.775415 58.370182 219.965299 59.180299 \n",
       "C 219.155182 59.990415 218.7 61.089323 218.7 62.235 \n",
       "C 218.7 63.380677 219.155182 64.479585 219.965299 65.289701 \n",
       "C 220.775415 66.099818 221.874323 66.555 223.02 66.555 \n",
       "L 223.02 66.555 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 151.02 30.555 \n",
       "C 152.165677 30.555 153.264585 30.099818 154.074701 29.289701 \n",
       "C 154.884818 28.479585 155.34 27.380677 155.34 26.235 \n",
       "C 155.34 25.089323 154.884818 23.990415 154.074701 23.180299 \n",
       "C 153.264585 22.370182 152.165677 21.915 151.02 21.915 \n",
       "C 149.874323 21.915 148.775415 22.370182 147.965299 23.180299 \n",
       "C 147.155182 23.990415 146.7 25.089323 146.7 26.235 \n",
       "C 146.7 27.380677 147.155182 28.479585 147.965299 29.289701 \n",
       "C 148.775415 30.099818 149.874323 30.555 151.02 30.555 \n",
       "L 151.02 30.555 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 295.02 30.555 \n",
       "C 296.165677 30.555 297.264585 30.099818 298.074701 29.289701 \n",
       "C 298.884818 28.479585 299.34 27.380677 299.34 26.235 \n",
       "C 299.34 25.089323 298.884818 23.990415 298.074701 23.180299 \n",
       "C 297.264585 22.370182 296.165677 21.915 295.02 21.915 \n",
       "C 293.874323 21.915 292.775415 22.370182 291.965299 23.180299 \n",
       "C 291.155182 23.990415 290.7 25.089323 290.7 26.235 \n",
       "C 290.7 27.380677 291.155182 28.479585 291.965299 29.289701 \n",
       "C 292.775415 30.099818 293.874323 30.555 295.02 30.555 \n",
       "L 295.02 30.555 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 128.7 80.235 \n",
       "L 129.853264 80.198017 \n",
       "L 131.001789 80.08722 \n",
       "L 132.140855 79.903065 \n",
       "L 133.265783 79.646308 \n",
       "L 134.371948 79.318003 \n",
       "L 135.454806 78.919502 \n",
       "L 136.509907 78.45244 \n",
       "L 137.532916 77.918737 \n",
       "L 138.519628 77.320586 \n",
       "L 139.46599 76.660445 \n",
       "L 140.368111 75.941027 \n",
       "L 141.222286 75.165288 \n",
       "L 142.025004 74.336416 \n",
       "L 142.772967 73.457816 \n",
       "L 143.463101 72.5331 \n",
       "L 144.09257 71.566066 \n",
       "L 144.658788 70.560689 \n",
       "L 145.159427 69.5211 \n",
       "L 145.592432 68.451571 \n",
       "L 145.956021 67.356497 \n",
       "L 146.248702 66.240377 \n",
       "L 146.469272 65.107798 \n",
       "L 146.616824 63.963414 \n",
       "L 146.690752 62.811928 \n",
       "L 146.690752 61.658072 \n",
       "L 146.616824 60.506586 \n",
       "L 146.469272 59.362202 \n",
       "L 146.248702 58.229623 \n",
       "L 145.956021 57.113503 \n",
       "L 145.592432 56.018429 \n",
       "L 145.159427 54.9489 \n",
       "L 144.658788 53.909311 \n",
       "L 144.09257 52.903934 \n",
       "L 143.463101 51.9369 \n",
       "L 142.772967 51.012184 \n",
       "L 142.025004 50.133584 \n",
       "L 141.222286 49.304712 \n",
       "L 140.368111 48.528973 \n",
       "L 139.46599 47.809555 \n",
       "L 138.519628 47.149414 \n",
       "L 137.532916 46.551263 \n",
       "L 136.509907 46.01756 \n",
       "L 135.454806 45.550498 \n",
       "L 134.371948 45.151997 \n",
       "L 133.265783 44.823692 \n",
       "L 132.140855 44.566935 \n",
       "L 131.001789 44.38278 \n",
       "L 129.853264 44.271983 \n",
       "L 128.7 44.235 \n",
       "L 128.7 44.235 \n",
       "L 105.3 44.235 \n",
       "L 105.3 62.235 \n",
       "L 105.3 80.235 \n",
       "L 128.7 80.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 92.7 71.235 \n",
       "L 105.3 71.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 92.7 53.235 \n",
       "L 105.3 53.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 155.34 62.235 \n",
       "L 159.3 62.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 92.7 53.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 92.7 71.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 200.7 80.235 \n",
       "L 201.853264 80.198017 \n",
       "L 203.001789 80.08722 \n",
       "L 204.140855 79.903065 \n",
       "L 205.265783 79.646308 \n",
       "L 206.371948 79.318003 \n",
       "L 207.454806 78.919502 \n",
       "L 208.509907 78.45244 \n",
       "L 209.532916 77.918737 \n",
       "L 210.519628 77.320586 \n",
       "L 211.46599 76.660445 \n",
       "L 212.368111 75.941027 \n",
       "L 213.222286 75.165288 \n",
       "L 214.025004 74.336416 \n",
       "L 214.772967 73.457816 \n",
       "L 215.463101 72.5331 \n",
       "L 216.09257 71.566066 \n",
       "L 216.658788 70.560689 \n",
       "L 217.159427 69.5211 \n",
       "L 217.592432 68.451571 \n",
       "L 217.956021 67.356497 \n",
       "L 218.248702 66.240377 \n",
       "L 218.469272 65.107798 \n",
       "L 218.616824 63.963414 \n",
       "L 218.690752 62.811928 \n",
       "L 218.690752 61.658072 \n",
       "L 218.616824 60.506586 \n",
       "L 218.469272 59.362202 \n",
       "L 218.248702 58.229623 \n",
       "L 217.956021 57.113503 \n",
       "L 217.592432 56.018429 \n",
       "L 217.159427 54.9489 \n",
       "L 216.658788 53.909311 \n",
       "L 216.09257 52.903934 \n",
       "L 215.463101 51.9369 \n",
       "L 214.772967 51.012184 \n",
       "L 214.025004 50.133584 \n",
       "L 213.222286 49.304712 \n",
       "L 212.368111 48.528973 \n",
       "L 211.46599 47.809555 \n",
       "L 210.519628 47.149414 \n",
       "L 209.532916 46.551263 \n",
       "L 208.509907 46.01756 \n",
       "L 207.454806 45.550498 \n",
       "L 206.371948 45.151997 \n",
       "L 205.265783 44.823692 \n",
       "L 204.140855 44.566935 \n",
       "L 203.001789 44.38278 \n",
       "L 201.853264 44.271983 \n",
       "L 200.7 44.235 \n",
       "L 200.7 44.235 \n",
       "L 177.3 44.235 \n",
       "L 177.3 62.235 \n",
       "L 177.3 80.235 \n",
       "L 200.7 80.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 164.7 71.235 \n",
       "L 177.3 71.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 164.7 53.235 \n",
       "L 177.3 53.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 227.34 62.235 \n",
       "L 231.3 62.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 20.7 98.235 \n",
       "L 164.7 53.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 159.3 62.235 \n",
       "L 164.7 71.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 128.7 44.235 \n",
       "L 129.853264 44.198017 \n",
       "L 131.001789 44.08722 \n",
       "L 132.140855 43.903065 \n",
       "L 133.265783 43.646308 \n",
       "L 134.371948 43.318003 \n",
       "L 135.454806 42.919502 \n",
       "L 136.509907 42.45244 \n",
       "L 137.532916 41.918737 \n",
       "L 138.519628 41.320586 \n",
       "L 139.46599 40.660445 \n",
       "L 140.368111 39.941027 \n",
       "L 141.222286 39.165288 \n",
       "L 142.025004 38.336416 \n",
       "L 142.772967 37.457816 \n",
       "L 143.463101 36.5331 \n",
       "L 144.09257 35.566066 \n",
       "L 144.658788 34.560689 \n",
       "L 145.159427 33.5211 \n",
       "L 145.592432 32.451571 \n",
       "L 145.956021 31.356497 \n",
       "L 146.248702 30.240377 \n",
       "L 146.469272 29.107798 \n",
       "L 146.616824 27.963414 \n",
       "L 146.690752 26.811928 \n",
       "L 146.690752 25.658072 \n",
       "L 146.616824 24.506586 \n",
       "L 146.469272 23.362202 \n",
       "L 146.248702 22.229623 \n",
       "L 145.956021 21.113503 \n",
       "L 145.592432 20.018429 \n",
       "L 145.159427 18.9489 \n",
       "L 144.658788 17.909311 \n",
       "L 144.09257 16.903934 \n",
       "L 143.463101 15.9369 \n",
       "L 142.772967 15.012184 \n",
       "L 142.025004 14.133584 \n",
       "L 141.222286 13.304712 \n",
       "L 140.368111 12.528973 \n",
       "L 139.46599 11.809555 \n",
       "L 138.519628 11.149414 \n",
       "L 137.532916 10.551263 \n",
       "L 136.509907 10.01756 \n",
       "L 135.454806 9.550498 \n",
       "L 134.371948 9.151997 \n",
       "L 133.265783 8.823692 \n",
       "L 132.140855 8.566935 \n",
       "L 131.001789 8.38278 \n",
       "L 129.853264 8.271983 \n",
       "L 128.7 8.235 \n",
       "L 128.7 8.235 \n",
       "L 105.3 8.235 \n",
       "L 105.3 26.235 \n",
       "L 105.3 44.235 \n",
       "L 128.7 44.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 92.7 35.235 \n",
       "L 105.3 35.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 92.7 17.235 \n",
       "L 105.3 17.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 155.34 26.235 \n",
       "L 159.3 26.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 20.7 26.235 \n",
       "L 92.7 17.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 92.7 35.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 272.7 44.235 \n",
       "L 273.853264 44.198017 \n",
       "L 275.001789 44.08722 \n",
       "L 276.140855 43.903065 \n",
       "L 277.265783 43.646308 \n",
       "L 278.371948 43.318003 \n",
       "L 279.454806 42.919502 \n",
       "L 280.509907 42.45244 \n",
       "L 281.532916 41.918737 \n",
       "L 282.519628 41.320586 \n",
       "L 283.46599 40.660445 \n",
       "L 284.368111 39.941027 \n",
       "L 285.222286 39.165288 \n",
       "L 286.025004 38.336416 \n",
       "L 286.772967 37.457816 \n",
       "L 287.463101 36.5331 \n",
       "L 288.09257 35.566066 \n",
       "L 288.658788 34.560689 \n",
       "L 289.159427 33.5211 \n",
       "L 289.592432 32.451571 \n",
       "L 289.956021 31.356497 \n",
       "L 290.248702 30.240377 \n",
       "L 290.469272 29.107798 \n",
       "L 290.616824 27.963414 \n",
       "L 290.690752 26.811928 \n",
       "L 290.690752 25.658072 \n",
       "L 290.616824 24.506586 \n",
       "L 290.469272 23.362202 \n",
       "L 290.248702 22.229623 \n",
       "L 289.956021 21.113503 \n",
       "L 289.592432 20.018429 \n",
       "L 289.159427 18.9489 \n",
       "L 288.658788 17.909311 \n",
       "L 288.09257 16.903934 \n",
       "L 287.463101 15.9369 \n",
       "L 286.772967 15.012184 \n",
       "L 286.025004 14.133584 \n",
       "L 285.222286 13.304712 \n",
       "L 284.368111 12.528973 \n",
       "L 283.46599 11.809555 \n",
       "L 282.519628 11.149414 \n",
       "L 281.532916 10.551263 \n",
       "L 280.509907 10.01756 \n",
       "L 279.454806 9.550498 \n",
       "L 278.371948 9.151997 \n",
       "L 277.265783 8.823692 \n",
       "L 276.140855 8.566935 \n",
       "L 275.001789 8.38278 \n",
       "L 273.853264 8.271983 \n",
       "L 272.7 8.235 \n",
       "L 272.7 8.235 \n",
       "L 249.3 8.235 \n",
       "L 249.3 26.235 \n",
       "L 249.3 44.235 \n",
       "L 272.7 44.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path d=\"M 236.7 35.235 \n",
       "L 249.3 35.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path d=\"M 236.7 17.235 \n",
       "L 249.3 17.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path d=\"M 299.34 26.235 \n",
       "L 303.3 26.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path d=\"M 231.3 62.235 \n",
       "L 236.7 17.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path d=\"M 159.3 26.235 \n",
       "L 236.7 35.235 \n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 20.7 100.935 \n",
       "C 21.416048 100.935 22.102866 100.650511 22.609188 100.144188 \n",
       "C 23.115511 99.637866 23.4 98.951048 23.4 98.235 \n",
       "C 23.4 97.518952 23.115511 96.832134 22.609188 96.325812 \n",
       "C 22.102866 95.819489 21.416048 95.535 20.7 95.535 \n",
       "C 19.983952 95.535 19.297134 95.819489 18.790812 96.325812 \n",
       "C 18.284489 96.832134 18 97.518952 18 98.235 \n",
       "C 18 98.951048 18.284489 99.637866 18.790812 100.144188 \n",
       "C 19.297134 100.650511 19.983952 100.935 20.7 100.935 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- X[2] -->\n",
       "    <g transform=\"translate(7.565234 89.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5b\" d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5d\" d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 20.7 64.935 \n",
       "C 21.416048 64.935 22.102866 64.650511 22.609188 64.144188 \n",
       "C 23.115511 63.637866 23.4 62.951048 23.4 62.235 \n",
       "C 23.4 61.518952 23.115511 60.832134 22.609188 60.325812 \n",
       "C 22.102866 59.819489 21.416048 59.535 20.7 59.535 \n",
       "C 19.983952 59.535 19.297134 59.819489 18.790812 60.325812 \n",
       "C 18.284489 60.832134 18 61.518952 18 62.235 \n",
       "C 18 62.951048 18.284489 63.637866 18.790812 64.144188 \n",
       "C 19.297134 64.650511 19.983952 64.935 20.7 64.935 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- X[0] -->\n",
       "    <g transform=\"translate(7.565234 53.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 20.7 28.935 \n",
       "C 21.416048 28.935 22.102866 28.650511 22.609188 28.144188 \n",
       "C 23.115511 27.637866 23.4 26.951048 23.4 26.235 \n",
       "C 23.4 25.518952 23.115511 24.832134 22.609188 24.325812 \n",
       "C 22.102866 23.819489 21.416048 23.535 20.7 23.535 \n",
       "C 19.983952 23.535 19.297134 23.819489 18.790812 24.325812 \n",
       "C 18.284489 24.832134 18 25.518952 18 26.235 \n",
       "C 18 26.951048 18.284489 27.637866 18.790812 28.144188 \n",
       "C 19.297134 28.650511 19.983952 28.935 20.7 28.935 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- X[1] -->\n",
       "    <g transform=\"translate(7.565234 17.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 303.3 28.935 \n",
       "C 304.016048 28.935 304.702866 28.650511 305.209188 28.144188 \n",
       "C 305.715511 27.637866 306 26.951048 306 26.235 \n",
       "C 306 25.518952 305.715511 24.832134 305.209188 24.325812 \n",
       "C 304.702866 23.819489 304.016048 23.535 303.3 23.535 \n",
       "C 302.583952 23.535 301.897134 23.819489 301.390812 24.325812 \n",
       "C 300.884489 24.832134 300.6 25.518952 300.6 26.235 \n",
       "C 300.6 26.951048 300.884489 27.637866 301.390812 28.144188 \n",
       "C 301.897134 28.650511 302.583952 28.935 303.3 28.935 \n",
       "z\n",
       "\" clip-path=\"url(#pc9dc2b35e8)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- $Y[0]$ -->\n",
       "    <g transform=\"translate(290.6125 17.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-59\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 1953 2747 \n",
       "L 3616 4666 \n",
       "L 4325 4666 \n",
       "L 2209 2222 \n",
       "L 1778 0 \n",
       "L 1147 0 \n",
       "L 1575 2222 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pc9dc2b35e8\">\n",
       "   <rect x=\"3.6\" y=\"3.6\" width=\"316.8\" height=\"101.97\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x124c28590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit(IF)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x      | IF(x) \n",
       "-------|-------\n",
       "000    | 0     \n",
       "001    | 1     \n",
       "010    | 0     \n",
       "011    | 1     \n",
       "100    | 0     \n",
       "101    | 0     \n",
       "110    | 1     \n",
       "111    | 1     \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "table(IF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Q:__ Show that there is a Boolean circuit that computes the function \n",
    "$$F(a,b,c) = \\begin{cases}b \\wedge c & a=1 \\\\ b \\vee c & a=0 \\end{cases}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def F(a,b,c): \n",
    "    d = AND(b,c)\n",
    "    e = OR(b,c)\n",
    "    return IF(a,d,e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"324pt\" height=\"148.77pt\" viewBox=\"0 0 324 148.77\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:04:29.548114</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 148.77 \n",
       "L 324 148.77 \n",
       "L 324 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 151.02 68.355 \n",
       "C 152.165677 68.355 153.264585 67.899818 154.074701 67.089701 \n",
       "C 154.884818 66.279585 155.34 65.180677 155.34 64.035 \n",
       "C 155.34 62.889323 154.884818 61.790415 154.074701 60.980299 \n",
       "C 153.264585 60.170182 152.165677 59.715 151.02 59.715 \n",
       "C 149.874323 59.715 148.775415 60.170182 147.965299 60.980299 \n",
       "C 147.155182 61.790415 146.7 62.889323 146.7 64.035 \n",
       "C 146.7 65.180677 147.155182 66.279585 147.965299 67.089701 \n",
       "C 148.775415 67.899818 149.874323 68.355 151.02 68.355 \n",
       "L 151.02 68.355 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 223.02 68.355 \n",
       "C 224.165677 68.355 225.264585 67.899818 226.074701 67.089701 \n",
       "C 226.884818 66.279585 227.34 65.180677 227.34 64.035 \n",
       "C 227.34 62.889323 226.884818 61.790415 226.074701 60.980299 \n",
       "C 225.264585 60.170182 224.165677 59.715 223.02 59.715 \n",
       "C 221.874323 59.715 220.775415 60.170182 219.965299 60.980299 \n",
       "C 219.155182 61.790415 218.7 62.889323 218.7 64.035 \n",
       "C 218.7 65.180677 219.155182 66.279585 219.965299 67.089701 \n",
       "C 220.775415 67.899818 221.874323 68.355 223.02 68.355 \n",
       "L 223.02 68.355 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 223.02 32.355 \n",
       "C 224.165677 32.355 225.264585 31.899818 226.074701 31.089701 \n",
       "C 226.884818 30.279585 227.34 29.180677 227.34 28.035 \n",
       "C 227.34 26.889323 226.884818 25.790415 226.074701 24.980299 \n",
       "C 225.264585 24.170182 224.165677 23.715 223.02 23.715 \n",
       "C 221.874323 23.715 220.775415 24.170182 219.965299 24.980299 \n",
       "C 219.155182 25.790415 218.7 26.889323 218.7 28.035 \n",
       "C 218.7 29.180677 219.155182 30.279585 219.965299 31.089701 \n",
       "C 220.775415 31.899818 221.874323 32.355 223.02 32.355 \n",
       "L 223.02 32.355 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 295.02 32.355 \n",
       "C 296.165677 32.355 297.264585 31.899818 298.074701 31.089701 \n",
       "C 298.884818 30.279585 299.34 29.180677 299.34 28.035 \n",
       "C 299.34 26.889323 298.884818 25.790415 298.074701 24.980299 \n",
       "C 297.264585 24.170182 296.165677 23.715 295.02 23.715 \n",
       "C 293.874323 23.715 292.775415 24.170182 291.965299 24.980299 \n",
       "C 291.155182 25.790415 290.7 26.889323 290.7 28.035 \n",
       "C 290.7 29.180677 291.155182 30.279585 291.965299 31.089701 \n",
       "C 292.775415 31.899818 293.874323 32.355 295.02 32.355 \n",
       "L 295.02 32.355 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 105.3 117.675 \n",
       "L 124.842857 117.608878 \n",
       "L 126.9 117.315 \n",
       "L 128.957143 116.78602 \n",
       "L 131.014286 116.021939 \n",
       "L 133.071429 115.022755 \n",
       "L 135.128571 113.788469 \n",
       "L 137.185714 112.319082 \n",
       "L 139.242857 110.614592 \n",
       "L 141.814286 108.153367 \n",
       "L 144.385714 105.324796 \n",
       "L 146.957143 102.128878 \n",
       "L 148.5 100.035 \n",
       "L 148.5 100.035 \n",
       "L 145.928571 96.618673 \n",
       "L 143.357143 93.569694 \n",
       "L 140.785714 90.888061 \n",
       "L 138.214286 88.573776 \n",
       "L 136.157143 86.986837 \n",
       "L 134.1 85.635 \n",
       "L 132.042857 84.518265 \n",
       "L 129.985714 83.636633 \n",
       "L 127.928571 82.990102 \n",
       "L 125.871429 82.578673 \n",
       "L 123.814286 82.402347 \n",
       "L 123.3 82.395 \n",
       "L 105.3 82.395 \n",
       "L 105.3 82.395 \n",
       "L 107.2872 84.555 \n",
       "L 109.0152 86.715 \n",
       "L 110.484 88.875 \n",
       "L 111.6936 91.035 \n",
       "L 112.644 93.195 \n",
       "L 113.3352 95.355 \n",
       "L 113.7672 97.515 \n",
       "L 113.94 99.675 \n",
       "L 113.8536 101.835 \n",
       "L 113.508 103.995 \n",
       "L 112.9032 106.155 \n",
       "L 112.0392 108.315 \n",
       "L 110.916 110.475 \n",
       "L 109.5336 112.635 \n",
       "L 107.892 114.795 \n",
       "L 105.9912 116.955 \n",
       "L 105.3 117.675 \n",
       "L 105.3 117.675 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 92.7 109.035 \n",
       "L 111.6936 109.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 92.7 91.035 \n",
       "L 111.6936 91.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 148.5 100.035 \n",
       "L 161.1 100.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 20.7 136.035 \n",
       "L 92.7 91.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 20.7 100.035 \n",
       "L 92.7 109.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 128.7 82.035 \n",
       "L 129.853264 81.998017 \n",
       "L 131.001789 81.88722 \n",
       "L 132.140855 81.703065 \n",
       "L 133.265783 81.446308 \n",
       "L 134.371948 81.118003 \n",
       "L 135.454806 80.719502 \n",
       "L 136.509907 80.25244 \n",
       "L 137.532916 79.718737 \n",
       "L 138.519628 79.120586 \n",
       "L 139.46599 78.460445 \n",
       "L 140.368111 77.741027 \n",
       "L 141.222286 76.965288 \n",
       "L 142.025004 76.136416 \n",
       "L 142.772967 75.257816 \n",
       "L 143.463101 74.3331 \n",
       "L 144.09257 73.366066 \n",
       "L 144.658788 72.360689 \n",
       "L 145.159427 71.3211 \n",
       "L 145.592432 70.251571 \n",
       "L 145.956021 69.156497 \n",
       "L 146.248702 68.040377 \n",
       "L 146.469272 66.907798 \n",
       "L 146.616824 65.763414 \n",
       "L 146.690752 64.611928 \n",
       "L 146.690752 63.458072 \n",
       "L 146.616824 62.306586 \n",
       "L 146.469272 61.162202 \n",
       "L 146.248702 60.029623 \n",
       "L 145.956021 58.913503 \n",
       "L 145.592432 57.818429 \n",
       "L 145.159427 56.7489 \n",
       "L 144.658788 55.709311 \n",
       "L 144.09257 54.703934 \n",
       "L 143.463101 53.7369 \n",
       "L 142.772967 52.812184 \n",
       "L 142.025004 51.933584 \n",
       "L 141.222286 51.104712 \n",
       "L 140.368111 50.328973 \n",
       "L 139.46599 49.609555 \n",
       "L 138.519628 48.949414 \n",
       "L 137.532916 48.351263 \n",
       "L 136.509907 47.81756 \n",
       "L 135.454806 47.350498 \n",
       "L 134.371948 46.951997 \n",
       "L 133.265783 46.623692 \n",
       "L 132.140855 46.366935 \n",
       "L 131.001789 46.18278 \n",
       "L 129.853264 46.071983 \n",
       "L 128.7 46.035 \n",
       "L 128.7 46.035 \n",
       "L 105.3 46.035 \n",
       "L 105.3 64.035 \n",
       "L 105.3 82.035 \n",
       "L 128.7 82.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 92.7 73.035 \n",
       "L 105.3 73.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 92.7 55.035 \n",
       "L 105.3 55.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 155.34 64.035 \n",
       "L 159.3 64.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 20.7 64.035 \n",
       "L 92.7 55.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 20.7 64.035 \n",
       "L 92.7 73.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 200.7 82.035 \n",
       "L 201.853264 81.998017 \n",
       "L 203.001789 81.88722 \n",
       "L 204.140855 81.703065 \n",
       "L 205.265783 81.446308 \n",
       "L 206.371948 81.118003 \n",
       "L 207.454806 80.719502 \n",
       "L 208.509907 80.25244 \n",
       "L 209.532916 79.718737 \n",
       "L 210.519628 79.120586 \n",
       "L 211.46599 78.460445 \n",
       "L 212.368111 77.741027 \n",
       "L 213.222286 76.965288 \n",
       "L 214.025004 76.136416 \n",
       "L 214.772967 75.257816 \n",
       "L 215.463101 74.3331 \n",
       "L 216.09257 73.366066 \n",
       "L 216.658788 72.360689 \n",
       "L 217.159427 71.3211 \n",
       "L 217.592432 70.251571 \n",
       "L 217.956021 69.156497 \n",
       "L 218.248702 68.040377 \n",
       "L 218.469272 66.907798 \n",
       "L 218.616824 65.763414 \n",
       "L 218.690752 64.611928 \n",
       "L 218.690752 63.458072 \n",
       "L 218.616824 62.306586 \n",
       "L 218.469272 61.162202 \n",
       "L 218.248702 60.029623 \n",
       "L 217.956021 58.913503 \n",
       "L 217.592432 57.818429 \n",
       "L 217.159427 56.7489 \n",
       "L 216.658788 55.709311 \n",
       "L 216.09257 54.703934 \n",
       "L 215.463101 53.7369 \n",
       "L 214.772967 52.812184 \n",
       "L 214.025004 51.933584 \n",
       "L 213.222286 51.104712 \n",
       "L 212.368111 50.328973 \n",
       "L 211.46599 49.609555 \n",
       "L 210.519628 48.949414 \n",
       "L 209.532916 48.351263 \n",
       "L 208.509907 47.81756 \n",
       "L 207.454806 47.350498 \n",
       "L 206.371948 46.951997 \n",
       "L 205.265783 46.623692 \n",
       "L 204.140855 46.366935 \n",
       "L 203.001789 46.18278 \n",
       "L 201.853264 46.071983 \n",
       "L 200.7 46.035 \n",
       "L 200.7 46.035 \n",
       "L 177.3 46.035 \n",
       "L 177.3 64.035 \n",
       "L 177.3 82.035 \n",
       "L 200.7 82.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 164.7 73.035 \n",
       "L 177.3 73.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 164.7 55.035 \n",
       "L 177.3 55.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 227.34 64.035 \n",
       "L 231.3 64.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 161.1 100.035 \n",
       "L 164.7 55.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 159.3 64.035 \n",
       "L 164.7 73.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 128.7 46.035 \n",
       "L 129.853264 45.998017 \n",
       "L 131.001789 45.88722 \n",
       "L 132.140855 45.703065 \n",
       "L 133.265783 45.446308 \n",
       "L 134.371948 45.118003 \n",
       "L 135.454806 44.719502 \n",
       "L 136.509907 44.25244 \n",
       "L 137.532916 43.718737 \n",
       "L 138.519628 43.120586 \n",
       "L 139.46599 42.460445 \n",
       "L 140.368111 41.741027 \n",
       "L 141.222286 40.965288 \n",
       "L 142.025004 40.136416 \n",
       "L 142.772967 39.257816 \n",
       "L 143.463101 38.3331 \n",
       "L 144.09257 37.366066 \n",
       "L 144.658788 36.360689 \n",
       "L 145.159427 35.3211 \n",
       "L 145.592432 34.251571 \n",
       "L 145.956021 33.156497 \n",
       "L 146.248702 32.040377 \n",
       "L 146.469272 30.907798 \n",
       "L 146.616824 29.763414 \n",
       "L 146.690752 28.611928 \n",
       "L 146.690752 27.458072 \n",
       "L 146.616824 26.306586 \n",
       "L 146.469272 25.162202 \n",
       "L 146.248702 24.029623 \n",
       "L 145.956021 22.913503 \n",
       "L 145.592432 21.818429 \n",
       "L 145.159427 20.7489 \n",
       "L 144.658788 19.709311 \n",
       "L 144.09257 18.703934 \n",
       "L 143.463101 17.7369 \n",
       "L 142.772967 16.812184 \n",
       "L 142.025004 15.933584 \n",
       "L 141.222286 15.104712 \n",
       "L 140.368111 14.328973 \n",
       "L 139.46599 13.609555 \n",
       "L 138.519628 12.949414 \n",
       "L 137.532916 12.351263 \n",
       "L 136.509907 11.81756 \n",
       "L 135.454806 11.350498 \n",
       "L 134.371948 10.951997 \n",
       "L 133.265783 10.623692 \n",
       "L 132.140855 10.366935 \n",
       "L 131.001789 10.18278 \n",
       "L 129.853264 10.071983 \n",
       "L 128.7 10.035 \n",
       "L 128.7 10.035 \n",
       "L 105.3 10.035 \n",
       "L 105.3 28.035 \n",
       "L 105.3 46.035 \n",
       "L 128.7 46.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path d=\"M 92.7 37.035 \n",
       "L 105.3 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path d=\"M 92.7 19.035 \n",
       "L 105.3 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path d=\"M 146.7 28.035 \n",
       "L 159.3 28.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path d=\"M 20.7 136.035 \n",
       "L 92.7 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path d=\"M 20.7 100.035 \n",
       "L 92.7 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path d=\"M 200.7 46.035 \n",
       "L 201.853264 45.998017 \n",
       "L 203.001789 45.88722 \n",
       "L 204.140855 45.703065 \n",
       "L 205.265783 45.446308 \n",
       "L 206.371948 45.118003 \n",
       "L 207.454806 44.719502 \n",
       "L 208.509907 44.25244 \n",
       "L 209.532916 43.718737 \n",
       "L 210.519628 43.120586 \n",
       "L 211.46599 42.460445 \n",
       "L 212.368111 41.741027 \n",
       "L 213.222286 40.965288 \n",
       "L 214.025004 40.136416 \n",
       "L 214.772967 39.257816 \n",
       "L 215.463101 38.3331 \n",
       "L 216.09257 37.366066 \n",
       "L 216.658788 36.360689 \n",
       "L 217.159427 35.3211 \n",
       "L 217.592432 34.251571 \n",
       "L 217.956021 33.156497 \n",
       "L 218.248702 32.040377 \n",
       "L 218.469272 30.907798 \n",
       "L 218.616824 29.763414 \n",
       "L 218.690752 28.611928 \n",
       "L 218.690752 27.458072 \n",
       "L 218.616824 26.306586 \n",
       "L 218.469272 25.162202 \n",
       "L 218.248702 24.029623 \n",
       "L 217.956021 22.913503 \n",
       "L 217.592432 21.818429 \n",
       "L 217.159427 20.7489 \n",
       "L 216.658788 19.709311 \n",
       "L 216.09257 18.703934 \n",
       "L 215.463101 17.7369 \n",
       "L 214.772967 16.812184 \n",
       "L 214.025004 15.933584 \n",
       "L 213.222286 15.104712 \n",
       "L 212.368111 14.328973 \n",
       "L 211.46599 13.609555 \n",
       "L 210.519628 12.949414 \n",
       "L 209.532916 12.351263 \n",
       "L 208.509907 11.81756 \n",
       "L 207.454806 11.350498 \n",
       "L 206.371948 10.951997 \n",
       "L 205.265783 10.623692 \n",
       "L 204.140855 10.366935 \n",
       "L 203.001789 10.18278 \n",
       "L 201.853264 10.071983 \n",
       "L 200.7 10.035 \n",
       "L 200.7 10.035 \n",
       "L 177.3 10.035 \n",
       "L 177.3 28.035 \n",
       "L 177.3 46.035 \n",
       "L 200.7 46.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path d=\"M 164.7 37.035 \n",
       "L 177.3 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path d=\"M 164.7 19.035 \n",
       "L 177.3 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path d=\"M 227.34 28.035 \n",
       "L 231.3 28.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path d=\"M 159.3 28.035 \n",
       "L 164.7 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path d=\"M 20.7 64.035 \n",
       "L 164.7 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path d=\"M 272.7 46.035 \n",
       "L 273.853264 45.998017 \n",
       "L 275.001789 45.88722 \n",
       "L 276.140855 45.703065 \n",
       "L 277.265783 45.446308 \n",
       "L 278.371948 45.118003 \n",
       "L 279.454806 44.719502 \n",
       "L 280.509907 44.25244 \n",
       "L 281.532916 43.718737 \n",
       "L 282.519628 43.120586 \n",
       "L 283.46599 42.460445 \n",
       "L 284.368111 41.741027 \n",
       "L 285.222286 40.965288 \n",
       "L 286.025004 40.136416 \n",
       "L 286.772967 39.257816 \n",
       "L 287.463101 38.3331 \n",
       "L 288.09257 37.366066 \n",
       "L 288.658788 36.360689 \n",
       "L 289.159427 35.3211 \n",
       "L 289.592432 34.251571 \n",
       "L 289.956021 33.156497 \n",
       "L 290.248702 32.040377 \n",
       "L 290.469272 30.907798 \n",
       "L 290.616824 29.763414 \n",
       "L 290.690752 28.611928 \n",
       "L 290.690752 27.458072 \n",
       "L 290.616824 26.306586 \n",
       "L 290.469272 25.162202 \n",
       "L 290.248702 24.029623 \n",
       "L 289.956021 22.913503 \n",
       "L 289.592432 21.818429 \n",
       "L 289.159427 20.7489 \n",
       "L 288.658788 19.709311 \n",
       "L 288.09257 18.703934 \n",
       "L 287.463101 17.7369 \n",
       "L 286.772967 16.812184 \n",
       "L 286.025004 15.933584 \n",
       "L 285.222286 15.104712 \n",
       "L 284.368111 14.328973 \n",
       "L 283.46599 13.609555 \n",
       "L 282.519628 12.949414 \n",
       "L 281.532916 12.351263 \n",
       "L 280.509907 11.81756 \n",
       "L 279.454806 11.350498 \n",
       "L 278.371948 10.951997 \n",
       "L 277.265783 10.623692 \n",
       "L 276.140855 10.366935 \n",
       "L 275.001789 10.18278 \n",
       "L 273.853264 10.071983 \n",
       "L 272.7 10.035 \n",
       "L 272.7 10.035 \n",
       "L 249.3 10.035 \n",
       "L 249.3 28.035 \n",
       "L 249.3 46.035 \n",
       "L 272.7 46.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path d=\"M 236.7 37.035 \n",
       "L 249.3 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path d=\"M 236.7 19.035 \n",
       "L 249.3 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_34\">\n",
       "    <path d=\"M 299.34 28.035 \n",
       "L 303.3 28.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_35\">\n",
       "    <path d=\"M 231.3 64.035 \n",
       "L 236.7 19.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_36\">\n",
       "    <path d=\"M 231.3 28.035 \n",
       "L 236.7 37.035 \n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 20.7 138.735 \n",
       "C 21.416048 138.735 22.102866 138.450511 22.609188 137.944188 \n",
       "C 23.115511 137.437866 23.4 136.751048 23.4 136.035 \n",
       "C 23.4 135.318952 23.115511 134.632134 22.609188 134.125812 \n",
       "C 22.102866 133.619489 21.416048 133.335 20.7 133.335 \n",
       "C 19.983952 133.335 19.297134 133.619489 18.790812 134.125812 \n",
       "C 18.284489 134.632134 18 135.318952 18 136.035 \n",
       "C 18 136.751048 18.284489 137.437866 18.790812 137.944188 \n",
       "C 19.297134 138.450511 19.983952 138.735 20.7 138.735 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- X[1] -->\n",
       "    <g transform=\"translate(7.565234 127.135391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5b\" d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5d\" d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 20.7 102.735 \n",
       "C 21.416048 102.735 22.102866 102.450511 22.609188 101.944188 \n",
       "C 23.115511 101.437866 23.4 100.751048 23.4 100.035 \n",
       "C 23.4 99.318952 23.115511 98.632134 22.609188 98.125812 \n",
       "C 22.102866 97.619489 21.416048 97.335 20.7 97.335 \n",
       "C 19.983952 97.335 19.297134 97.619489 18.790812 98.125812 \n",
       "C 18.284489 98.632134 18 99.318952 18 100.035 \n",
       "C 18 100.751048 18.284489 101.437866 18.790812 101.944188 \n",
       "C 19.297134 102.450511 19.983952 102.735 20.7 102.735 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- X[2] -->\n",
       "    <g transform=\"translate(7.565234 91.135391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 20.7 66.735 \n",
       "C 21.416048 66.735 22.102866 66.450511 22.609188 65.944188 \n",
       "C 23.115511 65.437866 23.4 64.751048 23.4 64.035 \n",
       "C 23.4 63.318952 23.115511 62.632134 22.609188 62.125812 \n",
       "C 22.102866 61.619489 21.416048 61.335 20.7 61.335 \n",
       "C 19.983952 61.335 19.297134 61.619489 18.790812 62.125812 \n",
       "C 18.284489 62.632134 18 63.318952 18 64.035 \n",
       "C 18 64.751048 18.284489 65.437866 18.790812 65.944188 \n",
       "C 19.297134 66.450511 19.983952 66.735 20.7 66.735 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- X[0] -->\n",
       "    <g transform=\"translate(7.565234 55.135391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 303.3 30.735 \n",
       "C 304.016048 30.735 304.702866 30.450511 305.209188 29.944188 \n",
       "C 305.715511 29.437866 306 28.751048 306 28.035 \n",
       "C 306 27.318952 305.715511 26.632134 305.209188 26.125812 \n",
       "C 304.702866 25.619489 304.016048 25.335 303.3 25.335 \n",
       "C 302.583952 25.335 301.897134 25.619489 301.390812 26.125812 \n",
       "C 300.884489 26.632134 300.6 27.318952 300.6 28.035 \n",
       "C 300.6 28.751048 300.884489 29.437866 301.390812 29.944188 \n",
       "C 301.897134 30.450511 302.583952 30.735 303.3 30.735 \n",
       "z\n",
       "\" clip-path=\"url(#p442b0b8eb2)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- $Y[0]$ -->\n",
       "    <g transform=\"translate(290.6125 19.135391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-59\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 1953 2747 \n",
       "L 3616 4666 \n",
       "L 4325 4666 \n",
       "L 2209 2222 \n",
       "L 1778 0 \n",
       "L 1147 0 \n",
       "L 1575 2222 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p442b0b8eb2\">\n",
       "   <rect x=\"3.6\" y=\"3.6\" width=\"316.8\" height=\"141.57\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x1247bd090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit(F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x     | F(x) \n",
       "------|------\n",
       "000   | 0    \n",
       "001   | 1    \n",
       "010   | 1    \n",
       "011   | 1    \n",
       "100   | 0    \n",
       "101   | 0    \n",
       "110   | 0    \n",
       "111   | 1    \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "table(F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x       | XOR(x) \n",
       "--------|--------\n",
       "00      | 0      \n",
       "01      | 1      \n",
       "10      | 1      \n",
       "11      | 0      \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def XOR(a,b): return IF(a,NOT(b),b)\n",
    "table(XOR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"324pt\" height=\"109.17pt\" viewBox=\"0 0 324 109.17\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:05:30.798309</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 109.17 \n",
       "L 324 109.17 \n",
       "L 324 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 151.02 66.555 \n",
       "C 152.165677 66.555 153.264585 66.099818 154.074701 65.289701 \n",
       "C 154.884818 64.479585 155.34 63.380677 155.34 62.235 \n",
       "C 155.34 61.089323 154.884818 59.990415 154.074701 59.180299 \n",
       "C 153.264585 58.370182 152.165677 57.915 151.02 57.915 \n",
       "C 149.874323 57.915 148.775415 58.370182 147.965299 59.180299 \n",
       "C 147.155182 59.990415 146.7 61.089323 146.7 62.235 \n",
       "C 146.7 63.380677 147.155182 64.479585 147.965299 65.289701 \n",
       "C 148.775415 66.099818 149.874323 66.555 151.02 66.555 \n",
       "L 151.02 66.555 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 223.02 66.555 \n",
       "C 224.165677 66.555 225.264585 66.099818 226.074701 65.289701 \n",
       "C 226.884818 64.479585 227.34 63.380677 227.34 62.235 \n",
       "C 227.34 61.089323 226.884818 59.990415 226.074701 59.180299 \n",
       "C 225.264585 58.370182 224.165677 57.915 223.02 57.915 \n",
       "C 221.874323 57.915 220.775415 58.370182 219.965299 59.180299 \n",
       "C 219.155182 59.990415 218.7 61.089323 218.7 62.235 \n",
       "C 218.7 63.380677 219.155182 64.479585 219.965299 65.289701 \n",
       "C 220.775415 66.099818 221.874323 66.555 223.02 66.555 \n",
       "L 223.02 66.555 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 120.42 30.555 \n",
       "C 121.565677 30.555 122.664585 30.099818 123.474701 29.289701 \n",
       "C 124.284818 28.479585 124.74 27.380677 124.74 26.235 \n",
       "C 124.74 25.089323 124.284818 23.990415 123.474701 23.180299 \n",
       "C 122.664585 22.370182 121.565677 21.915 120.42 21.915 \n",
       "C 119.274323 21.915 118.175415 22.370182 117.365299 23.180299 \n",
       "C 116.555182 23.990415 116.1 25.089323 116.1 26.235 \n",
       "C 116.1 27.380677 116.555182 28.479585 117.365299 29.289701 \n",
       "C 118.175415 30.099818 119.274323 30.555 120.42 30.555 \n",
       "L 120.42 30.555 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 223.02 30.555 \n",
       "C 224.165677 30.555 225.264585 30.099818 226.074701 29.289701 \n",
       "C 226.884818 28.479585 227.34 27.380677 227.34 26.235 \n",
       "C 227.34 25.089323 226.884818 23.990415 226.074701 23.180299 \n",
       "C 225.264585 22.370182 224.165677 21.915 223.02 21.915 \n",
       "C 221.874323 21.915 220.775415 22.370182 219.965299 23.180299 \n",
       "C 219.155182 23.990415 218.7 25.089323 218.7 26.235 \n",
       "C 218.7 27.380677 219.155182 28.479585 219.965299 29.289701 \n",
       "C 220.775415 30.099818 221.874323 30.555 223.02 30.555 \n",
       "L 223.02 30.555 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 295.02 30.555 \n",
       "C 296.165677 30.555 297.264585 30.099818 298.074701 29.289701 \n",
       "C 298.884818 28.479585 299.34 27.380677 299.34 26.235 \n",
       "C 299.34 25.089323 298.884818 23.990415 298.074701 23.180299 \n",
       "C 297.264585 22.370182 296.165677 21.915 295.02 21.915 \n",
       "C 293.874323 21.915 292.775415 22.370182 291.965299 23.180299 \n",
       "C 291.155182 23.990415 290.7 25.089323 290.7 26.235 \n",
       "C 290.7 27.380677 291.155182 28.479585 291.965299 29.289701 \n",
       "C 292.775415 30.099818 293.874323 30.555 295.02 30.555 \n",
       "L 295.02 30.555 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 128.7 80.235 \n",
       "L 129.853264 80.198017 \n",
       "L 131.001789 80.08722 \n",
       "L 132.140855 79.903065 \n",
       "L 133.265783 79.646308 \n",
       "L 134.371948 79.318003 \n",
       "L 135.454806 78.919502 \n",
       "L 136.509907 78.45244 \n",
       "L 137.532916 77.918737 \n",
       "L 138.519628 77.320586 \n",
       "L 139.46599 76.660445 \n",
       "L 140.368111 75.941027 \n",
       "L 141.222286 75.165288 \n",
       "L 142.025004 74.336416 \n",
       "L 142.772967 73.457816 \n",
       "L 143.463101 72.5331 \n",
       "L 144.09257 71.566066 \n",
       "L 144.658788 70.560689 \n",
       "L 145.159427 69.5211 \n",
       "L 145.592432 68.451571 \n",
       "L 145.956021 67.356497 \n",
       "L 146.248702 66.240377 \n",
       "L 146.469272 65.107798 \n",
       "L 146.616824 63.963414 \n",
       "L 146.690752 62.811928 \n",
       "L 146.690752 61.658072 \n",
       "L 146.616824 60.506586 \n",
       "L 146.469272 59.362202 \n",
       "L 146.248702 58.229623 \n",
       "L 145.956021 57.113503 \n",
       "L 145.592432 56.018429 \n",
       "L 145.159427 54.9489 \n",
       "L 144.658788 53.909311 \n",
       "L 144.09257 52.903934 \n",
       "L 143.463101 51.9369 \n",
       "L 142.772967 51.012184 \n",
       "L 142.025004 50.133584 \n",
       "L 141.222286 49.304712 \n",
       "L 140.368111 48.528973 \n",
       "L 139.46599 47.809555 \n",
       "L 138.519628 47.149414 \n",
       "L 137.532916 46.551263 \n",
       "L 136.509907 46.01756 \n",
       "L 135.454806 45.550498 \n",
       "L 134.371948 45.151997 \n",
       "L 133.265783 44.823692 \n",
       "L 132.140855 44.566935 \n",
       "L 131.001789 44.38278 \n",
       "L 129.853264 44.271983 \n",
       "L 128.7 44.235 \n",
       "L 128.7 44.235 \n",
       "L 105.3 44.235 \n",
       "L 105.3 62.235 \n",
       "L 105.3 80.235 \n",
       "L 128.7 80.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 92.7 71.235 \n",
       "L 105.3 71.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 92.7 53.235 \n",
       "L 105.3 53.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 155.34 62.235 \n",
       "L 159.3 62.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 92.7 53.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 92.7 71.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 200.7 80.235 \n",
       "L 201.853264 80.198017 \n",
       "L 203.001789 80.08722 \n",
       "L 204.140855 79.903065 \n",
       "L 205.265783 79.646308 \n",
       "L 206.371948 79.318003 \n",
       "L 207.454806 78.919502 \n",
       "L 208.509907 78.45244 \n",
       "L 209.532916 77.918737 \n",
       "L 210.519628 77.320586 \n",
       "L 211.46599 76.660445 \n",
       "L 212.368111 75.941027 \n",
       "L 213.222286 75.165288 \n",
       "L 214.025004 74.336416 \n",
       "L 214.772967 73.457816 \n",
       "L 215.463101 72.5331 \n",
       "L 216.09257 71.566066 \n",
       "L 216.658788 70.560689 \n",
       "L 217.159427 69.5211 \n",
       "L 217.592432 68.451571 \n",
       "L 217.956021 67.356497 \n",
       "L 218.248702 66.240377 \n",
       "L 218.469272 65.107798 \n",
       "L 218.616824 63.963414 \n",
       "L 218.690752 62.811928 \n",
       "L 218.690752 61.658072 \n",
       "L 218.616824 60.506586 \n",
       "L 218.469272 59.362202 \n",
       "L 218.248702 58.229623 \n",
       "L 217.956021 57.113503 \n",
       "L 217.592432 56.018429 \n",
       "L 217.159427 54.9489 \n",
       "L 216.658788 53.909311 \n",
       "L 216.09257 52.903934 \n",
       "L 215.463101 51.9369 \n",
       "L 214.772967 51.012184 \n",
       "L 214.025004 50.133584 \n",
       "L 213.222286 49.304712 \n",
       "L 212.368111 48.528973 \n",
       "L 211.46599 47.809555 \n",
       "L 210.519628 47.149414 \n",
       "L 209.532916 46.551263 \n",
       "L 208.509907 46.01756 \n",
       "L 207.454806 45.550498 \n",
       "L 206.371948 45.151997 \n",
       "L 205.265783 44.823692 \n",
       "L 204.140855 44.566935 \n",
       "L 203.001789 44.38278 \n",
       "L 201.853264 44.271983 \n",
       "L 200.7 44.235 \n",
       "L 200.7 44.235 \n",
       "L 177.3 44.235 \n",
       "L 177.3 62.235 \n",
       "L 177.3 80.235 \n",
       "L 200.7 80.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 164.7 71.235 \n",
       "L 177.3 71.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 164.7 53.235 \n",
       "L 177.3 53.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 227.34 62.235 \n",
       "L 231.3 62.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 20.7 98.235 \n",
       "L 164.7 53.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 159.3 62.235 \n",
       "L 164.7 71.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 92.7 26.235 \n",
       "M 124.74 26.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 92.7 8.235 \n",
       "L 116.1 26.235 \n",
       "L 92.7 44.235 \n",
       "L 92.7 8.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 20.7 98.235 \n",
       "L 92.7 26.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 200.7 44.235 \n",
       "L 201.853264 44.198017 \n",
       "L 203.001789 44.08722 \n",
       "L 204.140855 43.903065 \n",
       "L 205.265783 43.646308 \n",
       "L 206.371948 43.318003 \n",
       "L 207.454806 42.919502 \n",
       "L 208.509907 42.45244 \n",
       "L 209.532916 41.918737 \n",
       "L 210.519628 41.320586 \n",
       "L 211.46599 40.660445 \n",
       "L 212.368111 39.941027 \n",
       "L 213.222286 39.165288 \n",
       "L 214.025004 38.336416 \n",
       "L 214.772967 37.457816 \n",
       "L 215.463101 36.5331 \n",
       "L 216.09257 35.566066 \n",
       "L 216.658788 34.560689 \n",
       "L 217.159427 33.5211 \n",
       "L 217.592432 32.451571 \n",
       "L 217.956021 31.356497 \n",
       "L 218.248702 30.240377 \n",
       "L 218.469272 29.107798 \n",
       "L 218.616824 27.963414 \n",
       "L 218.690752 26.811928 \n",
       "L 218.690752 25.658072 \n",
       "L 218.616824 24.506586 \n",
       "L 218.469272 23.362202 \n",
       "L 218.248702 22.229623 \n",
       "L 217.956021 21.113503 \n",
       "L 217.592432 20.018429 \n",
       "L 217.159427 18.9489 \n",
       "L 216.658788 17.909311 \n",
       "L 216.09257 16.903934 \n",
       "L 215.463101 15.9369 \n",
       "L 214.772967 15.012184 \n",
       "L 214.025004 14.133584 \n",
       "L 213.222286 13.304712 \n",
       "L 212.368111 12.528973 \n",
       "L 211.46599 11.809555 \n",
       "L 210.519628 11.149414 \n",
       "L 209.532916 10.551263 \n",
       "L 208.509907 10.01756 \n",
       "L 207.454806 9.550498 \n",
       "L 206.371948 9.151997 \n",
       "L 205.265783 8.823692 \n",
       "L 204.140855 8.566935 \n",
       "L 203.001789 8.38278 \n",
       "L 201.853264 8.271983 \n",
       "L 200.7 8.235 \n",
       "L 200.7 8.235 \n",
       "L 177.3 8.235 \n",
       "L 177.3 26.235 \n",
       "L 177.3 44.235 \n",
       "L 200.7 44.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 164.7 35.235 \n",
       "L 177.3 35.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 164.7 17.235 \n",
       "L 177.3 17.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 227.34 26.235 \n",
       "L 231.3 26.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path d=\"M 124.74 26.235 \n",
       "L 164.7 17.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path d=\"M 20.7 62.235 \n",
       "L 164.7 35.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path d=\"M 272.7 44.235 \n",
       "L 273.853264 44.198017 \n",
       "L 275.001789 44.08722 \n",
       "L 276.140855 43.903065 \n",
       "L 277.265783 43.646308 \n",
       "L 278.371948 43.318003 \n",
       "L 279.454806 42.919502 \n",
       "L 280.509907 42.45244 \n",
       "L 281.532916 41.918737 \n",
       "L 282.519628 41.320586 \n",
       "L 283.46599 40.660445 \n",
       "L 284.368111 39.941027 \n",
       "L 285.222286 39.165288 \n",
       "L 286.025004 38.336416 \n",
       "L 286.772967 37.457816 \n",
       "L 287.463101 36.5331 \n",
       "L 288.09257 35.566066 \n",
       "L 288.658788 34.560689 \n",
       "L 289.159427 33.5211 \n",
       "L 289.592432 32.451571 \n",
       "L 289.956021 31.356497 \n",
       "L 290.248702 30.240377 \n",
       "L 290.469272 29.107798 \n",
       "L 290.616824 27.963414 \n",
       "L 290.690752 26.811928 \n",
       "L 290.690752 25.658072 \n",
       "L 290.616824 24.506586 \n",
       "L 290.469272 23.362202 \n",
       "L 290.248702 22.229623 \n",
       "L 289.956021 21.113503 \n",
       "L 289.592432 20.018429 \n",
       "L 289.159427 18.9489 \n",
       "L 288.658788 17.909311 \n",
       "L 288.09257 16.903934 \n",
       "L 287.463101 15.9369 \n",
       "L 286.772967 15.012184 \n",
       "L 286.025004 14.133584 \n",
       "L 285.222286 13.304712 \n",
       "L 284.368111 12.528973 \n",
       "L 283.46599 11.809555 \n",
       "L 282.519628 11.149414 \n",
       "L 281.532916 10.551263 \n",
       "L 280.509907 10.01756 \n",
       "L 279.454806 9.550498 \n",
       "L 278.371948 9.151997 \n",
       "L 277.265783 8.823692 \n",
       "L 276.140855 8.566935 \n",
       "L 275.001789 8.38278 \n",
       "L 273.853264 8.271983 \n",
       "L 272.7 8.235 \n",
       "L 272.7 8.235 \n",
       "L 249.3 8.235 \n",
       "L 249.3 26.235 \n",
       "L 249.3 44.235 \n",
       "L 272.7 44.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path d=\"M 236.7 35.235 \n",
       "L 249.3 35.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path d=\"M 236.7 17.235 \n",
       "L 249.3 17.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path d=\"M 299.34 26.235 \n",
       "L 303.3 26.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path d=\"M 231.3 62.235 \n",
       "L 236.7 17.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path d=\"M 231.3 26.235 \n",
       "L 236.7 35.235 \n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 20.7 100.935 \n",
       "C 21.416048 100.935 22.102866 100.650511 22.609188 100.144188 \n",
       "C 23.115511 99.637866 23.4 98.951048 23.4 98.235 \n",
       "C 23.4 97.518952 23.115511 96.832134 22.609188 96.325812 \n",
       "C 22.102866 95.819489 21.416048 95.535 20.7 95.535 \n",
       "C 19.983952 95.535 19.297134 95.819489 18.790812 96.325812 \n",
       "C 18.284489 96.832134 18 97.518952 18 98.235 \n",
       "C 18 98.951048 18.284489 99.637866 18.790812 100.144188 \n",
       "C 19.297134 100.650511 19.983952 100.935 20.7 100.935 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- X[1] -->\n",
       "    <g transform=\"translate(7.565234 89.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5b\" d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5d\" d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 20.7 64.935 \n",
       "C 21.416048 64.935 22.102866 64.650511 22.609188 64.144188 \n",
       "C 23.115511 63.637866 23.4 62.951048 23.4 62.235 \n",
       "C 23.4 61.518952 23.115511 60.832134 22.609188 60.325812 \n",
       "C 22.102866 59.819489 21.416048 59.535 20.7 59.535 \n",
       "C 19.983952 59.535 19.297134 59.819489 18.790812 60.325812 \n",
       "C 18.284489 60.832134 18 61.518952 18 62.235 \n",
       "C 18 62.951048 18.284489 63.637866 18.790812 64.144188 \n",
       "C 19.297134 64.650511 19.983952 64.935 20.7 64.935 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- X[0] -->\n",
       "    <g transform=\"translate(7.565234 53.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 303.3 28.935 \n",
       "C 304.016048 28.935 304.702866 28.650511 305.209188 28.144188 \n",
       "C 305.715511 27.637866 306 26.951048 306 26.235 \n",
       "C 306 25.518952 305.715511 24.832134 305.209188 24.325812 \n",
       "C 304.702866 23.819489 304.016048 23.535 303.3 23.535 \n",
       "C 302.583952 23.535 301.897134 23.819489 301.390812 24.325812 \n",
       "C 300.884489 24.832134 300.6 25.518952 300.6 26.235 \n",
       "C 300.6 26.951048 300.884489 27.637866 301.390812 28.144188 \n",
       "C 301.897134 28.650511 302.583952 28.935 303.3 28.935 \n",
       "z\n",
       "\" clip-path=\"url(#p3a6534d699)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- $Y[0]$ -->\n",
       "    <g transform=\"translate(290.6125 17.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-59\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 1953 2747 \n",
       "L 3616 4666 \n",
       "L 4325 4666 \n",
       "L 2209 2222 \n",
       "L 1778 0 \n",
       "L 1147 0 \n",
       "L 1575 2222 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p3a6534d699\">\n",
       "   <rect x=\"3.6\" y=\"3.6\" width=\"316.8\" height=\"101.97\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x1247e5090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit(XOR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def XOR3(a,b,c): return XOR(a,XOR(b,c))\n",
    "circuit(XOR3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x        | zero(x) \n",
       "---------|---------\n",
       "0        | 0       \n",
       "1        | 0       \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def zero(a):\n",
    "    return AND(a,NOT(a))\n",
    "table(zero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x       | one(x) \n",
       "--------|--------\n",
       "0       | 1      \n",
       "1       | 1      \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def one(a):\n",
    "    return OR(a,NOT(a))\n",
    "table(one)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def MAJ(a,b,c): return (a&b) | (a&c) | (b&c)\n",
    "circuit(MAJ)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Q:__ Write a circuit for the function $INC:\\{0,1\\}^3 \\rightarrow \\{0,1\\}^4$ such that $INC(x_0,x_1,x_2)$ is the (LSB first) binary representation of $x+1$ (for $x = x_0 +2x_1 + 4x_2$).  (Follow-up: generalize for all $n$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"640.8pt\" height=\"505.17pt\" viewBox=\"0 0 640.8 505.17\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:14:55.494257</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 505.17 \n",
       "L 640.8 505.17 \n",
       "L 640.8 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 134.82 444.555 \n",
       "C 135.965677 444.555 137.064585 444.099818 137.874701 443.289701 \n",
       "C 138.684818 442.479585 139.14 441.380677 139.14 440.235 \n",
       "C 139.14 439.089323 138.684818 437.990415 137.874701 437.180299 \n",
       "C 137.064585 436.370182 135.965677 435.915 134.82 435.915 \n",
       "C 133.674323 435.915 132.575415 436.370182 131.765299 437.180299 \n",
       "C 130.955182 437.990415 130.5 439.089323 130.5 440.235 \n",
       "C 130.5 441.380677 130.955182 442.479585 131.765299 443.289701 \n",
       "C 132.575415 444.099818 133.674323 444.555 134.82 444.555 \n",
       "L 134.82 444.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 309.42 444.555 \n",
       "C 310.565677 444.555 311.664585 444.099818 312.474701 443.289701 \n",
       "C 313.284818 442.479585 313.74 441.380677 313.74 440.235 \n",
       "C 313.74 439.089323 313.284818 437.990415 312.474701 437.180299 \n",
       "C 311.664585 436.370182 310.565677 435.915 309.42 435.915 \n",
       "C 308.274323 435.915 307.175415 436.370182 306.365299 437.180299 \n",
       "C 305.555182 437.990415 305.1 439.089323 305.1 440.235 \n",
       "C 305.1 441.380677 305.555182 442.479585 306.365299 443.289701 \n",
       "C 307.175415 444.099818 308.274323 444.555 309.42 444.555 \n",
       "L 309.42 444.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 381.42 444.555 \n",
       "C 382.565677 444.555 383.664585 444.099818 384.474701 443.289701 \n",
       "C 385.284818 442.479585 385.74 441.380677 385.74 440.235 \n",
       "C 385.74 439.089323 385.284818 437.990415 384.474701 437.180299 \n",
       "C 383.664585 436.370182 382.565677 435.915 381.42 435.915 \n",
       "C 380.274323 435.915 379.175415 436.370182 378.365299 437.180299 \n",
       "C 377.555182 437.990415 377.1 439.089323 377.1 440.235 \n",
       "C 377.1 441.380677 377.555182 442.479585 378.365299 443.289701 \n",
       "C 379.175415 444.099818 380.274323 444.555 381.42 444.555 \n",
       "L 381.42 444.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 309.42 408.555 \n",
       "C 310.565677 408.555 311.664585 408.099818 312.474701 407.289701 \n",
       "C 313.284818 406.479585 313.74 405.380677 313.74 404.235 \n",
       "C 313.74 403.089323 313.284818 401.990415 312.474701 401.180299 \n",
       "C 311.664585 400.370182 310.565677 399.915 309.42 399.915 \n",
       "C 308.274323 399.915 307.175415 400.370182 306.365299 401.180299 \n",
       "C 305.555182 401.990415 305.1 403.089323 305.1 404.235 \n",
       "C 305.1 405.380677 305.555182 406.479585 306.365299 407.289701 \n",
       "C 307.175415 408.099818 308.274323 408.555 309.42 408.555 \n",
       "L 309.42 408.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 453.42 408.555 \n",
       "C 454.565677 408.555 455.664585 408.099818 456.474701 407.289701 \n",
       "C 457.284818 406.479585 457.74 405.380677 457.74 404.235 \n",
       "C 457.74 403.089323 457.284818 401.990415 456.474701 401.180299 \n",
       "C 455.664585 400.370182 454.565677 399.915 453.42 399.915 \n",
       "C 452.274323 399.915 451.175415 400.370182 450.365299 401.180299 \n",
       "C 449.555182 401.990415 449.1 403.089323 449.1 404.235 \n",
       "C 449.1 405.380677 449.555182 406.479585 450.365299 407.289701 \n",
       "C 451.175415 408.099818 452.274323 408.555 453.42 408.555 \n",
       "L 453.42 408.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 381.42 300.555 \n",
       "C 382.565677 300.555 383.664585 300.099818 384.474701 299.289701 \n",
       "C 385.284818 298.479585 385.74 297.380677 385.74 296.235 \n",
       "C 385.74 295.089323 385.284818 293.990415 384.474701 293.180299 \n",
       "C 383.664585 292.370182 382.565677 291.915 381.42 291.915 \n",
       "C 380.274323 291.915 379.175415 292.370182 378.365299 293.180299 \n",
       "C 377.555182 293.990415 377.1 295.089323 377.1 296.235 \n",
       "C 377.1 297.380677 377.555182 298.479585 378.365299 299.289701 \n",
       "C 379.175415 300.099818 380.274323 300.555 381.42 300.555 \n",
       "L 381.42 300.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 453.42 300.555 \n",
       "C 454.565677 300.555 455.664585 300.099818 456.474701 299.289701 \n",
       "C 457.284818 298.479585 457.74 297.380677 457.74 296.235 \n",
       "C 457.74 295.089323 457.284818 293.990415 456.474701 293.180299 \n",
       "C 455.664585 292.370182 454.565677 291.915 453.42 291.915 \n",
       "C 452.274323 291.915 451.175415 292.370182 450.365299 293.180299 \n",
       "C 449.555182 293.990415 449.1 295.089323 449.1 296.235 \n",
       "C 449.1 297.380677 449.555182 298.479585 450.365299 299.289701 \n",
       "C 451.175415 300.099818 452.274323 300.555 453.42 300.555 \n",
       "L 453.42 300.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 134.82 264.555 \n",
       "C 135.965677 264.555 137.064585 264.099818 137.874701 263.289701 \n",
       "C 138.684818 262.479585 139.14 261.380677 139.14 260.235 \n",
       "C 139.14 259.089323 138.684818 257.990415 137.874701 257.180299 \n",
       "C 137.064585 256.370182 135.965677 255.915 134.82 255.915 \n",
       "C 133.674323 255.915 132.575415 256.370182 131.765299 257.180299 \n",
       "C 130.955182 257.990415 130.5 259.089323 130.5 260.235 \n",
       "C 130.5 261.380677 130.955182 262.479585 131.765299 263.289701 \n",
       "C 132.575415 264.099818 133.674323 264.555 134.82 264.555 \n",
       "L 134.82 264.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 381.42 264.555 \n",
       "C 382.565677 264.555 383.664585 264.099818 384.474701 263.289701 \n",
       "C 385.284818 262.479585 385.74 261.380677 385.74 260.235 \n",
       "C 385.74 259.089323 385.284818 257.990415 384.474701 257.180299 \n",
       "C 383.664585 256.370182 382.565677 255.915 381.42 255.915 \n",
       "C 380.274323 255.915 379.175415 256.370182 378.365299 257.180299 \n",
       "C 377.555182 257.990415 377.1 259.089323 377.1 260.235 \n",
       "C 377.1 261.380677 377.555182 262.479585 378.365299 263.289701 \n",
       "C 379.175415 264.099818 380.274323 264.555 381.42 264.555 \n",
       "L 381.42 264.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 525.42 264.555 \n",
       "C 526.565677 264.555 527.664585 264.099818 528.474701 263.289701 \n",
       "C 529.284818 262.479585 529.74 261.380677 529.74 260.235 \n",
       "C 529.74 259.089323 529.284818 257.990415 528.474701 257.180299 \n",
       "C 527.664585 256.370182 526.565677 255.915 525.42 255.915 \n",
       "C 524.274323 255.915 523.175415 256.370182 522.365299 257.180299 \n",
       "C 521.555182 257.990415 521.1 259.089323 521.1 260.235 \n",
       "C 521.1 261.380677 521.555182 262.479585 522.365299 263.289701 \n",
       "C 523.175415 264.099818 524.274323 264.555 525.42 264.555 \n",
       "L 525.42 264.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 453.42 156.555 \n",
       "C 454.565677 156.555 455.664585 156.099818 456.474701 155.289701 \n",
       "C 457.284818 154.479585 457.74 153.380677 457.74 152.235 \n",
       "C 457.74 151.089323 457.284818 149.990415 456.474701 149.180299 \n",
       "C 455.664585 148.370182 454.565677 147.915 453.42 147.915 \n",
       "C 452.274323 147.915 451.175415 148.370182 450.365299 149.180299 \n",
       "C 449.555182 149.990415 449.1 151.089323 449.1 152.235 \n",
       "C 449.1 153.380677 449.555182 154.479585 450.365299 155.289701 \n",
       "C 451.175415 156.099818 452.274323 156.555 453.42 156.555 \n",
       "L 453.42 156.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 525.42 156.555 \n",
       "C 526.565677 156.555 527.664585 156.099818 528.474701 155.289701 \n",
       "C 529.284818 154.479585 529.74 153.380677 529.74 152.235 \n",
       "C 529.74 151.089323 529.284818 149.990415 528.474701 149.180299 \n",
       "C 527.664585 148.370182 526.565677 147.915 525.42 147.915 \n",
       "C 524.274323 147.915 523.175415 148.370182 522.365299 149.180299 \n",
       "C 521.555182 149.990415 521.1 151.089323 521.1 152.235 \n",
       "C 521.1 153.380677 521.555182 154.479585 522.365299 155.289701 \n",
       "C 523.175415 156.099818 524.274323 156.555 525.42 156.555 \n",
       "L 525.42 156.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 134.82 120.555 \n",
       "C 135.965677 120.555 137.064585 120.099818 137.874701 119.289701 \n",
       "C 138.684818 118.479585 139.14 117.380677 139.14 116.235 \n",
       "C 139.14 115.089323 138.684818 113.990415 137.874701 113.180299 \n",
       "C 137.064585 112.370182 135.965677 111.915 134.82 111.915 \n",
       "C 133.674323 111.915 132.575415 112.370182 131.765299 113.180299 \n",
       "C 130.955182 113.990415 130.5 115.089323 130.5 116.235 \n",
       "C 130.5 117.380677 130.955182 118.479585 131.765299 119.289701 \n",
       "C 132.575415 120.099818 133.674323 120.555 134.82 120.555 \n",
       "L 134.82 120.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 453.42 120.555 \n",
       "C 454.565677 120.555 455.664585 120.099818 456.474701 119.289701 \n",
       "C 457.284818 118.479585 457.74 117.380677 457.74 116.235 \n",
       "C 457.74 115.089323 457.284818 113.990415 456.474701 113.180299 \n",
       "C 455.664585 112.370182 454.565677 111.915 453.42 111.915 \n",
       "C 452.274323 111.915 451.175415 112.370182 450.365299 113.180299 \n",
       "C 449.555182 113.990415 449.1 115.089323 449.1 116.235 \n",
       "C 449.1 117.380677 449.555182 118.479585 450.365299 119.289701 \n",
       "C 451.175415 120.099818 452.274323 120.555 453.42 120.555 \n",
       "L 453.42 120.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 597.42 120.555 \n",
       "C 598.565677 120.555 599.664585 120.099818 600.474701 119.289701 \n",
       "C 601.284818 118.479585 601.74 117.380677 601.74 116.235 \n",
       "C 601.74 115.089323 601.284818 113.990415 600.474701 113.180299 \n",
       "C 599.664585 112.370182 598.565677 111.915 597.42 111.915 \n",
       "C 596.274323 111.915 595.175415 112.370182 594.365299 113.180299 \n",
       "C 593.555182 113.990415 593.1 115.089323 593.1 116.235 \n",
       "C 593.1 117.380677 593.555182 118.479585 594.365299 119.289701 \n",
       "C 595.175415 120.099818 596.274323 120.555 597.42 120.555 \n",
       "L 597.42 120.555 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 107.1 440.235 \n",
       "M 139.14 440.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 107.1 422.235 \n",
       "L 130.5 440.235 \n",
       "L 107.1 458.235 \n",
       "L 107.1 422.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 35.1 476.235 \n",
       "L 107.1 440.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 191.7 457.875 \n",
       "L 211.242857 457.808878 \n",
       "L 213.3 457.515 \n",
       "L 215.357143 456.98602 \n",
       "L 217.414286 456.221939 \n",
       "L 219.471429 455.222755 \n",
       "L 221.528571 453.988469 \n",
       "L 223.585714 452.519082 \n",
       "L 225.642857 450.814592 \n",
       "L 228.214286 448.353367 \n",
       "L 230.785714 445.524796 \n",
       "L 233.357143 442.328878 \n",
       "L 234.9 440.235 \n",
       "L 234.9 440.235 \n",
       "L 232.328571 436.818673 \n",
       "L 229.757143 433.769694 \n",
       "L 227.185714 431.088061 \n",
       "L 224.614286 428.773776 \n",
       "L 222.557143 427.186837 \n",
       "L 220.5 425.835 \n",
       "L 218.442857 424.718265 \n",
       "L 216.385714 423.836633 \n",
       "L 214.328571 423.190102 \n",
       "L 212.271429 422.778673 \n",
       "L 210.214286 422.602347 \n",
       "L 209.7 422.595 \n",
       "L 191.7 422.595 \n",
       "L 191.7 422.595 \n",
       "L 193.6872 424.755 \n",
       "L 195.4152 426.915 \n",
       "L 196.884 429.075 \n",
       "L 198.0936 431.235 \n",
       "L 199.044 433.395 \n",
       "L 199.7352 435.555 \n",
       "L 200.1672 437.715 \n",
       "L 200.34 439.875 \n",
       "L 200.2536 442.035 \n",
       "L 199.908 444.195 \n",
       "L 199.3032 446.355 \n",
       "L 198.4392 448.515 \n",
       "L 197.316 450.675 \n",
       "L 195.9336 452.835 \n",
       "L 194.292 454.995 \n",
       "L 192.3912 457.155 \n",
       "L 191.7 457.875 \n",
       "L 191.7 457.875 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 179.1 449.235 \n",
       "L 198.0936 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 179.1 431.235 \n",
       "L 198.0936 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 234.9 440.235 \n",
       "L 247.5 440.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 35.1 476.235 \n",
       "L 179.1 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 139.14 440.235 \n",
       "L 179.1 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 287.1 458.235 \n",
       "L 288.253264 458.198017 \n",
       "L 289.401789 458.08722 \n",
       "L 290.540855 457.903065 \n",
       "L 291.665783 457.646308 \n",
       "L 292.771948 457.318003 \n",
       "L 293.854806 456.919502 \n",
       "L 294.909907 456.45244 \n",
       "L 295.932916 455.918737 \n",
       "L 296.919628 455.320586 \n",
       "L 297.86599 454.660445 \n",
       "L 298.768111 453.941027 \n",
       "L 299.622286 453.165288 \n",
       "L 300.425004 452.336416 \n",
       "L 301.172967 451.457816 \n",
       "L 301.863101 450.5331 \n",
       "L 302.49257 449.566066 \n",
       "L 303.058788 448.560689 \n",
       "L 303.559427 447.5211 \n",
       "L 303.992432 446.451571 \n",
       "L 304.356021 445.356497 \n",
       "L 304.648702 444.240377 \n",
       "L 304.869272 443.107798 \n",
       "L 305.016824 441.963414 \n",
       "L 305.090752 440.811928 \n",
       "L 305.090752 439.658072 \n",
       "L 305.016824 438.506586 \n",
       "L 304.869272 437.362202 \n",
       "L 304.648702 436.229623 \n",
       "L 304.356021 435.113503 \n",
       "L 303.992432 434.018429 \n",
       "L 303.559427 432.9489 \n",
       "L 303.058788 431.909311 \n",
       "L 302.49257 430.903934 \n",
       "L 301.863101 429.9369 \n",
       "L 301.172967 429.012184 \n",
       "L 300.425004 428.133584 \n",
       "L 299.622286 427.304712 \n",
       "L 298.768111 426.528973 \n",
       "L 297.86599 425.809555 \n",
       "L 296.919628 425.149414 \n",
       "L 295.932916 424.551263 \n",
       "L 294.909907 424.01756 \n",
       "L 293.854806 423.550498 \n",
       "L 292.771948 423.151997 \n",
       "L 291.665783 422.823692 \n",
       "L 290.540855 422.566935 \n",
       "L 289.401789 422.38278 \n",
       "L 288.253264 422.271983 \n",
       "L 287.1 422.235 \n",
       "L 287.1 422.235 \n",
       "L 263.7 422.235 \n",
       "L 263.7 440.235 \n",
       "L 263.7 458.235 \n",
       "L 287.1 458.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 251.1 449.235 \n",
       "L 263.7 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 251.1 431.235 \n",
       "L 263.7 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 313.74 440.235 \n",
       "L 317.7 440.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 247.5 440.235 \n",
       "L 251.1 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 247.5 440.235 \n",
       "L 251.1 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 359.1 458.235 \n",
       "L 360.253264 458.198017 \n",
       "L 361.401789 458.08722 \n",
       "L 362.540855 457.903065 \n",
       "L 363.665783 457.646308 \n",
       "L 364.771948 457.318003 \n",
       "L 365.854806 456.919502 \n",
       "L 366.909907 456.45244 \n",
       "L 367.932916 455.918737 \n",
       "L 368.919628 455.320586 \n",
       "L 369.86599 454.660445 \n",
       "L 370.768111 453.941027 \n",
       "L 371.622286 453.165288 \n",
       "L 372.425004 452.336416 \n",
       "L 373.172967 451.457816 \n",
       "L 373.863101 450.5331 \n",
       "L 374.49257 449.566066 \n",
       "L 375.058788 448.560689 \n",
       "L 375.559427 447.5211 \n",
       "L 375.992432 446.451571 \n",
       "L 376.356021 445.356497 \n",
       "L 376.648702 444.240377 \n",
       "L 376.869272 443.107798 \n",
       "L 377.016824 441.963414 \n",
       "L 377.090752 440.811928 \n",
       "L 377.090752 439.658072 \n",
       "L 377.016824 438.506586 \n",
       "L 376.869272 437.362202 \n",
       "L 376.648702 436.229623 \n",
       "L 376.356021 435.113503 \n",
       "L 375.992432 434.018429 \n",
       "L 375.559427 432.9489 \n",
       "L 375.058788 431.909311 \n",
       "L 374.49257 430.903934 \n",
       "L 373.863101 429.9369 \n",
       "L 373.172967 429.012184 \n",
       "L 372.425004 428.133584 \n",
       "L 371.622286 427.304712 \n",
       "L 370.768111 426.528973 \n",
       "L 369.86599 425.809555 \n",
       "L 368.919628 425.149414 \n",
       "L 367.932916 424.551263 \n",
       "L 366.909907 424.01756 \n",
       "L 365.854806 423.550498 \n",
       "L 364.771948 423.151997 \n",
       "L 363.665783 422.823692 \n",
       "L 362.540855 422.566935 \n",
       "L 361.401789 422.38278 \n",
       "L 360.253264 422.271983 \n",
       "L 359.1 422.235 \n",
       "L 359.1 422.235 \n",
       "L 335.7 422.235 \n",
       "L 335.7 440.235 \n",
       "L 335.7 458.235 \n",
       "L 359.1 458.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 323.1 449.235 \n",
       "L 335.7 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 323.1 431.235 \n",
       "L 335.7 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 385.74 440.235 \n",
       "L 389.7 440.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path d=\"M 35.1 476.235 \n",
       "L 323.1 431.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path d=\"M 317.7 440.235 \n",
       "L 323.1 449.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path d=\"M 287.1 422.235 \n",
       "L 288.253264 422.198017 \n",
       "L 289.401789 422.08722 \n",
       "L 290.540855 421.903065 \n",
       "L 291.665783 421.646308 \n",
       "L 292.771948 421.318003 \n",
       "L 293.854806 420.919502 \n",
       "L 294.909907 420.45244 \n",
       "L 295.932916 419.918737 \n",
       "L 296.919628 419.320586 \n",
       "L 297.86599 418.660445 \n",
       "L 298.768111 417.941027 \n",
       "L 299.622286 417.165288 \n",
       "L 300.425004 416.336416 \n",
       "L 301.172967 415.457816 \n",
       "L 301.863101 414.5331 \n",
       "L 302.49257 413.566066 \n",
       "L 303.058788 412.560689 \n",
       "L 303.559427 411.5211 \n",
       "L 303.992432 410.451571 \n",
       "L 304.356021 409.356497 \n",
       "L 304.648702 408.240377 \n",
       "L 304.869272 407.107798 \n",
       "L 305.016824 405.963414 \n",
       "L 305.090752 404.811928 \n",
       "L 305.090752 403.658072 \n",
       "L 305.016824 402.506586 \n",
       "L 304.869272 401.362202 \n",
       "L 304.648702 400.229623 \n",
       "L 304.356021 399.113503 \n",
       "L 303.992432 398.018429 \n",
       "L 303.559427 396.9489 \n",
       "L 303.058788 395.909311 \n",
       "L 302.49257 394.903934 \n",
       "L 301.863101 393.9369 \n",
       "L 301.172967 393.012184 \n",
       "L 300.425004 392.133584 \n",
       "L 299.622286 391.304712 \n",
       "L 298.768111 390.528973 \n",
       "L 297.86599 389.809555 \n",
       "L 296.919628 389.149414 \n",
       "L 295.932916 388.551263 \n",
       "L 294.909907 388.01756 \n",
       "L 293.854806 387.550498 \n",
       "L 292.771948 387.151997 \n",
       "L 291.665783 386.823692 \n",
       "L 290.540855 386.566935 \n",
       "L 289.401789 386.38278 \n",
       "L 288.253264 386.271983 \n",
       "L 287.1 386.235 \n",
       "L 287.1 386.235 \n",
       "L 263.7 386.235 \n",
       "L 263.7 404.235 \n",
       "L 263.7 422.235 \n",
       "L 287.1 422.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path d=\"M 251.1 413.235 \n",
       "L 263.7 413.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path d=\"M 251.1 395.235 \n",
       "L 263.7 395.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path d=\"M 313.74 404.235 \n",
       "L 317.7 404.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path d=\"M 139.14 440.235 \n",
       "L 251.1 395.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path d=\"M 247.5 440.235 \n",
       "L 251.1 413.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path d=\"M 431.1 422.235 \n",
       "L 432.253264 422.198017 \n",
       "L 433.401789 422.08722 \n",
       "L 434.540855 421.903065 \n",
       "L 435.665783 421.646308 \n",
       "L 436.771948 421.318003 \n",
       "L 437.854806 420.919502 \n",
       "L 438.909907 420.45244 \n",
       "L 439.932916 419.918737 \n",
       "L 440.919628 419.320586 \n",
       "L 441.86599 418.660445 \n",
       "L 442.768111 417.941027 \n",
       "L 443.622286 417.165288 \n",
       "L 444.425004 416.336416 \n",
       "L 445.172967 415.457816 \n",
       "L 445.863101 414.5331 \n",
       "L 446.49257 413.566066 \n",
       "L 447.058788 412.560689 \n",
       "L 447.559427 411.5211 \n",
       "L 447.992432 410.451571 \n",
       "L 448.356021 409.356497 \n",
       "L 448.648702 408.240377 \n",
       "L 448.869272 407.107798 \n",
       "L 449.016824 405.963414 \n",
       "L 449.090752 404.811928 \n",
       "L 449.090752 403.658072 \n",
       "L 449.016824 402.506586 \n",
       "L 448.869272 401.362202 \n",
       "L 448.648702 400.229623 \n",
       "L 448.356021 399.113503 \n",
       "L 447.992432 398.018429 \n",
       "L 447.559427 396.9489 \n",
       "L 447.058788 395.909311 \n",
       "L 446.49257 394.903934 \n",
       "L 445.863101 393.9369 \n",
       "L 445.172967 393.012184 \n",
       "L 444.425004 392.133584 \n",
       "L 443.622286 391.304712 \n",
       "L 442.768111 390.528973 \n",
       "L 441.86599 389.809555 \n",
       "L 440.919628 389.149414 \n",
       "L 439.932916 388.551263 \n",
       "L 438.909907 388.01756 \n",
       "L 437.854806 387.550498 \n",
       "L 436.771948 387.151997 \n",
       "L 435.665783 386.823692 \n",
       "L 434.540855 386.566935 \n",
       "L 433.401789 386.38278 \n",
       "L 432.253264 386.271983 \n",
       "L 431.1 386.235 \n",
       "L 431.1 386.235 \n",
       "L 407.7 386.235 \n",
       "L 407.7 404.235 \n",
       "L 407.7 422.235 \n",
       "L 431.1 422.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path d=\"M 395.1 413.235 \n",
       "L 407.7 413.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path d=\"M 395.1 395.235 \n",
       "L 407.7 395.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path d=\"M 457.74 404.235 \n",
       "L 461.7 404.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path d=\"M 389.7 440.235 \n",
       "L 395.1 395.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path d=\"M 317.7 404.235 \n",
       "L 395.1 413.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_34\">\n",
       "    <path d=\"M 287.1 314.235 \n",
       "L 288.253264 314.198017 \n",
       "L 289.401789 314.08722 \n",
       "L 290.540855 313.903065 \n",
       "L 291.665783 313.646308 \n",
       "L 292.771948 313.318003 \n",
       "L 293.854806 312.919502 \n",
       "L 294.909907 312.45244 \n",
       "L 295.932916 311.918737 \n",
       "L 296.919628 311.320586 \n",
       "L 297.86599 310.660445 \n",
       "L 298.768111 309.941027 \n",
       "L 299.622286 309.165288 \n",
       "L 300.425004 308.336416 \n",
       "L 301.172967 307.457816 \n",
       "L 301.863101 306.5331 \n",
       "L 302.49257 305.566066 \n",
       "L 303.058788 304.560689 \n",
       "L 303.559427 303.5211 \n",
       "L 303.992432 302.451571 \n",
       "L 304.356021 301.356497 \n",
       "L 304.648702 300.240377 \n",
       "L 304.869272 299.107798 \n",
       "L 305.016824 297.963414 \n",
       "L 305.090752 296.811928 \n",
       "L 305.090752 295.658072 \n",
       "L 305.016824 294.506586 \n",
       "L 304.869272 293.362202 \n",
       "L 304.648702 292.229623 \n",
       "L 304.356021 291.113503 \n",
       "L 303.992432 290.018429 \n",
       "L 303.559427 288.9489 \n",
       "L 303.058788 287.909311 \n",
       "L 302.49257 286.903934 \n",
       "L 301.863101 285.9369 \n",
       "L 301.172967 285.012184 \n",
       "L 300.425004 284.133584 \n",
       "L 299.622286 283.304712 \n",
       "L 298.768111 282.528973 \n",
       "L 297.86599 281.809555 \n",
       "L 296.919628 281.149414 \n",
       "L 295.932916 280.551263 \n",
       "L 294.909907 280.01756 \n",
       "L 293.854806 279.550498 \n",
       "L 292.771948 279.151997 \n",
       "L 291.665783 278.823692 \n",
       "L 290.540855 278.566935 \n",
       "L 289.401789 278.38278 \n",
       "L 288.253264 278.271983 \n",
       "L 287.1 278.235 \n",
       "L 287.1 278.235 \n",
       "L 263.7 278.235 \n",
       "L 263.7 296.235 \n",
       "L 263.7 314.235 \n",
       "L 287.1 314.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_35\">\n",
       "    <path d=\"M 251.1 305.235 \n",
       "L 263.7 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_36\">\n",
       "    <path d=\"M 251.1 287.235 \n",
       "L 263.7 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_37\">\n",
       "    <path d=\"M 305.1 296.235 \n",
       "L 317.7 296.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_38\">\n",
       "    <path d=\"M 247.5 440.235 \n",
       "L 251.1 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path d=\"M 35.1 476.235 \n",
       "L 251.1 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path d=\"M 359.1 314.235 \n",
       "L 360.253264 314.198017 \n",
       "L 361.401789 314.08722 \n",
       "L 362.540855 313.903065 \n",
       "L 363.665783 313.646308 \n",
       "L 364.771948 313.318003 \n",
       "L 365.854806 312.919502 \n",
       "L 366.909907 312.45244 \n",
       "L 367.932916 311.918737 \n",
       "L 368.919628 311.320586 \n",
       "L 369.86599 310.660445 \n",
       "L 370.768111 309.941027 \n",
       "L 371.622286 309.165288 \n",
       "L 372.425004 308.336416 \n",
       "L 373.172967 307.457816 \n",
       "L 373.863101 306.5331 \n",
       "L 374.49257 305.566066 \n",
       "L 375.058788 304.560689 \n",
       "L 375.559427 303.5211 \n",
       "L 375.992432 302.451571 \n",
       "L 376.356021 301.356497 \n",
       "L 376.648702 300.240377 \n",
       "L 376.869272 299.107798 \n",
       "L 377.016824 297.963414 \n",
       "L 377.090752 296.811928 \n",
       "L 377.090752 295.658072 \n",
       "L 377.016824 294.506586 \n",
       "L 376.869272 293.362202 \n",
       "L 376.648702 292.229623 \n",
       "L 376.356021 291.113503 \n",
       "L 375.992432 290.018429 \n",
       "L 375.559427 288.9489 \n",
       "L 375.058788 287.909311 \n",
       "L 374.49257 286.903934 \n",
       "L 373.863101 285.9369 \n",
       "L 373.172967 285.012184 \n",
       "L 372.425004 284.133584 \n",
       "L 371.622286 283.304712 \n",
       "L 370.768111 282.528973 \n",
       "L 369.86599 281.809555 \n",
       "L 368.919628 281.149414 \n",
       "L 367.932916 280.551263 \n",
       "L 366.909907 280.01756 \n",
       "L 365.854806 279.550498 \n",
       "L 364.771948 279.151997 \n",
       "L 363.665783 278.823692 \n",
       "L 362.540855 278.566935 \n",
       "L 361.401789 278.38278 \n",
       "L 360.253264 278.271983 \n",
       "L 359.1 278.235 \n",
       "L 359.1 278.235 \n",
       "L 335.7 278.235 \n",
       "L 335.7 296.235 \n",
       "L 335.7 314.235 \n",
       "L 359.1 314.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_41\">\n",
       "    <path d=\"M 323.1 305.235 \n",
       "L 335.7 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_42\">\n",
       "    <path d=\"M 323.1 287.235 \n",
       "L 335.7 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_43\">\n",
       "    <path d=\"M 385.74 296.235 \n",
       "L 389.7 296.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <path d=\"M 317.7 296.235 \n",
       "L 323.1 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path d=\"M 317.7 296.235 \n",
       "L 323.1 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path d=\"M 431.1 314.235 \n",
       "L 432.253264 314.198017 \n",
       "L 433.401789 314.08722 \n",
       "L 434.540855 313.903065 \n",
       "L 435.665783 313.646308 \n",
       "L 436.771948 313.318003 \n",
       "L 437.854806 312.919502 \n",
       "L 438.909907 312.45244 \n",
       "L 439.932916 311.918737 \n",
       "L 440.919628 311.320586 \n",
       "L 441.86599 310.660445 \n",
       "L 442.768111 309.941027 \n",
       "L 443.622286 309.165288 \n",
       "L 444.425004 308.336416 \n",
       "L 445.172967 307.457816 \n",
       "L 445.863101 306.5331 \n",
       "L 446.49257 305.566066 \n",
       "L 447.058788 304.560689 \n",
       "L 447.559427 303.5211 \n",
       "L 447.992432 302.451571 \n",
       "L 448.356021 301.356497 \n",
       "L 448.648702 300.240377 \n",
       "L 448.869272 299.107798 \n",
       "L 449.016824 297.963414 \n",
       "L 449.090752 296.811928 \n",
       "L 449.090752 295.658072 \n",
       "L 449.016824 294.506586 \n",
       "L 448.869272 293.362202 \n",
       "L 448.648702 292.229623 \n",
       "L 448.356021 291.113503 \n",
       "L 447.992432 290.018429 \n",
       "L 447.559427 288.9489 \n",
       "L 447.058788 287.909311 \n",
       "L 446.49257 286.903934 \n",
       "L 445.863101 285.9369 \n",
       "L 445.172967 285.012184 \n",
       "L 444.425004 284.133584 \n",
       "L 443.622286 283.304712 \n",
       "L 442.768111 282.528973 \n",
       "L 441.86599 281.809555 \n",
       "L 440.919628 281.149414 \n",
       "L 439.932916 280.551263 \n",
       "L 438.909907 280.01756 \n",
       "L 437.854806 279.550498 \n",
       "L 436.771948 279.151997 \n",
       "L 435.665783 278.823692 \n",
       "L 434.540855 278.566935 \n",
       "L 433.401789 278.38278 \n",
       "L 432.253264 278.271983 \n",
       "L 431.1 278.235 \n",
       "L 431.1 278.235 \n",
       "L 407.7 278.235 \n",
       "L 407.7 296.235 \n",
       "L 407.7 314.235 \n",
       "L 431.1 314.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path d=\"M 395.1 305.235 \n",
       "L 407.7 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path d=\"M 395.1 287.235 \n",
       "L 407.7 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path d=\"M 457.74 296.235 \n",
       "L 461.7 296.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <path d=\"M 35.1 332.235 \n",
       "L 395.1 287.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <path d=\"M 389.7 296.235 \n",
       "L 395.1 305.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <path d=\"M 107.1 260.235 \n",
       "M 139.14 260.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <path d=\"M 107.1 242.235 \n",
       "L 130.5 260.235 \n",
       "L 107.1 278.235 \n",
       "L 107.1 242.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <path d=\"M 35.1 332.235 \n",
       "L 107.1 260.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <path d=\"M 359.1 278.235 \n",
       "L 360.253264 278.198017 \n",
       "L 361.401789 278.08722 \n",
       "L 362.540855 277.903065 \n",
       "L 363.665783 277.646308 \n",
       "L 364.771948 277.318003 \n",
       "L 365.854806 276.919502 \n",
       "L 366.909907 276.45244 \n",
       "L 367.932916 275.918737 \n",
       "L 368.919628 275.320586 \n",
       "L 369.86599 274.660445 \n",
       "L 370.768111 273.941027 \n",
       "L 371.622286 273.165288 \n",
       "L 372.425004 272.336416 \n",
       "L 373.172967 271.457816 \n",
       "L 373.863101 270.5331 \n",
       "L 374.49257 269.566066 \n",
       "L 375.058788 268.560689 \n",
       "L 375.559427 267.5211 \n",
       "L 375.992432 266.451571 \n",
       "L 376.356021 265.356497 \n",
       "L 376.648702 264.240377 \n",
       "L 376.869272 263.107798 \n",
       "L 377.016824 261.963414 \n",
       "L 377.090752 260.811928 \n",
       "L 377.090752 259.658072 \n",
       "L 377.016824 258.506586 \n",
       "L 376.869272 257.362202 \n",
       "L 376.648702 256.229623 \n",
       "L 376.356021 255.113503 \n",
       "L 375.992432 254.018429 \n",
       "L 375.559427 252.9489 \n",
       "L 375.058788 251.909311 \n",
       "L 374.49257 250.903934 \n",
       "L 373.863101 249.9369 \n",
       "L 373.172967 249.012184 \n",
       "L 372.425004 248.133584 \n",
       "L 371.622286 247.304712 \n",
       "L 370.768111 246.528973 \n",
       "L 369.86599 245.809555 \n",
       "L 368.919628 245.149414 \n",
       "L 367.932916 244.551263 \n",
       "L 366.909907 244.01756 \n",
       "L 365.854806 243.550498 \n",
       "L 364.771948 243.151997 \n",
       "L 363.665783 242.823692 \n",
       "L 362.540855 242.566935 \n",
       "L 361.401789 242.38278 \n",
       "L 360.253264 242.271983 \n",
       "L 359.1 242.235 \n",
       "L 359.1 242.235 \n",
       "L 335.7 242.235 \n",
       "L 335.7 260.235 \n",
       "L 335.7 278.235 \n",
       "L 359.1 278.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_56\">\n",
       "    <path d=\"M 323.1 269.235 \n",
       "L 335.7 269.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <path d=\"M 323.1 251.235 \n",
       "L 335.7 251.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path d=\"M 385.74 260.235 \n",
       "L 389.7 260.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <path d=\"M 139.14 260.235 \n",
       "L 323.1 251.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path d=\"M 317.7 296.235 \n",
       "L 323.1 269.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_61\">\n",
       "    <path d=\"M 503.1 278.235 \n",
       "L 504.253264 278.198017 \n",
       "L 505.401789 278.08722 \n",
       "L 506.540855 277.903065 \n",
       "L 507.665783 277.646308 \n",
       "L 508.771948 277.318003 \n",
       "L 509.854806 276.919502 \n",
       "L 510.909907 276.45244 \n",
       "L 511.932916 275.918737 \n",
       "L 512.919628 275.320586 \n",
       "L 513.86599 274.660445 \n",
       "L 514.768111 273.941027 \n",
       "L 515.622286 273.165288 \n",
       "L 516.425004 272.336416 \n",
       "L 517.172967 271.457816 \n",
       "L 517.863101 270.5331 \n",
       "L 518.49257 269.566066 \n",
       "L 519.058788 268.560689 \n",
       "L 519.559427 267.5211 \n",
       "L 519.992432 266.451571 \n",
       "L 520.356021 265.356497 \n",
       "L 520.648702 264.240377 \n",
       "L 520.869272 263.107798 \n",
       "L 521.016824 261.963414 \n",
       "L 521.090752 260.811928 \n",
       "L 521.090752 259.658072 \n",
       "L 521.016824 258.506586 \n",
       "L 520.869272 257.362202 \n",
       "L 520.648702 256.229623 \n",
       "L 520.356021 255.113503 \n",
       "L 519.992432 254.018429 \n",
       "L 519.559427 252.9489 \n",
       "L 519.058788 251.909311 \n",
       "L 518.49257 250.903934 \n",
       "L 517.863101 249.9369 \n",
       "L 517.172967 249.012184 \n",
       "L 516.425004 248.133584 \n",
       "L 515.622286 247.304712 \n",
       "L 514.768111 246.528973 \n",
       "L 513.86599 245.809555 \n",
       "L 512.919628 245.149414 \n",
       "L 511.932916 244.551263 \n",
       "L 510.909907 244.01756 \n",
       "L 509.854806 243.550498 \n",
       "L 508.771948 243.151997 \n",
       "L 507.665783 242.823692 \n",
       "L 506.540855 242.566935 \n",
       "L 505.401789 242.38278 \n",
       "L 504.253264 242.271983 \n",
       "L 503.1 242.235 \n",
       "L 503.1 242.235 \n",
       "L 479.7 242.235 \n",
       "L 479.7 260.235 \n",
       "L 479.7 278.235 \n",
       "L 503.1 278.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_62\">\n",
       "    <path d=\"M 467.1 269.235 \n",
       "L 479.7 269.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_63\">\n",
       "    <path d=\"M 467.1 251.235 \n",
       "L 479.7 251.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <path d=\"M 529.74 260.235 \n",
       "L 533.7 260.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path d=\"M 461.7 296.235 \n",
       "L 467.1 251.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <path d=\"M 389.7 260.235 \n",
       "L 467.1 269.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <path d=\"M 359.1 170.235 \n",
       "L 360.253264 170.198017 \n",
       "L 361.401789 170.08722 \n",
       "L 362.540855 169.903065 \n",
       "L 363.665783 169.646308 \n",
       "L 364.771948 169.318003 \n",
       "L 365.854806 168.919502 \n",
       "L 366.909907 168.45244 \n",
       "L 367.932916 167.918737 \n",
       "L 368.919628 167.320586 \n",
       "L 369.86599 166.660445 \n",
       "L 370.768111 165.941027 \n",
       "L 371.622286 165.165288 \n",
       "L 372.425004 164.336416 \n",
       "L 373.172967 163.457816 \n",
       "L 373.863101 162.5331 \n",
       "L 374.49257 161.566066 \n",
       "L 375.058788 160.560689 \n",
       "L 375.559427 159.5211 \n",
       "L 375.992432 158.451571 \n",
       "L 376.356021 157.356497 \n",
       "L 376.648702 156.240377 \n",
       "L 376.869272 155.107798 \n",
       "L 377.016824 153.963414 \n",
       "L 377.090752 152.811928 \n",
       "L 377.090752 151.658072 \n",
       "L 377.016824 150.506586 \n",
       "L 376.869272 149.362202 \n",
       "L 376.648702 148.229623 \n",
       "L 376.356021 147.113503 \n",
       "L 375.992432 146.018429 \n",
       "L 375.559427 144.9489 \n",
       "L 375.058788 143.909311 \n",
       "L 374.49257 142.903934 \n",
       "L 373.863101 141.9369 \n",
       "L 373.172967 141.012184 \n",
       "L 372.425004 140.133584 \n",
       "L 371.622286 139.304712 \n",
       "L 370.768111 138.528973 \n",
       "L 369.86599 137.809555 \n",
       "L 368.919628 137.149414 \n",
       "L 367.932916 136.551263 \n",
       "L 366.909907 136.01756 \n",
       "L 365.854806 135.550498 \n",
       "L 364.771948 135.151997 \n",
       "L 363.665783 134.823692 \n",
       "L 362.540855 134.566935 \n",
       "L 361.401789 134.38278 \n",
       "L 360.253264 134.271983 \n",
       "L 359.1 134.235 \n",
       "L 359.1 134.235 \n",
       "L 335.7 134.235 \n",
       "L 335.7 152.235 \n",
       "L 335.7 170.235 \n",
       "L 359.1 170.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <path d=\"M 323.1 161.235 \n",
       "L 335.7 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <path d=\"M 323.1 143.235 \n",
       "L 335.7 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path d=\"M 377.1 152.235 \n",
       "L 389.7 152.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path d=\"M 317.7 296.235 \n",
       "L 323.1 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <path d=\"M 35.1 332.235 \n",
       "L 323.1 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_73\">\n",
       "    <path d=\"M 431.1 170.235 \n",
       "L 432.253264 170.198017 \n",
       "L 433.401789 170.08722 \n",
       "L 434.540855 169.903065 \n",
       "L 435.665783 169.646308 \n",
       "L 436.771948 169.318003 \n",
       "L 437.854806 168.919502 \n",
       "L 438.909907 168.45244 \n",
       "L 439.932916 167.918737 \n",
       "L 440.919628 167.320586 \n",
       "L 441.86599 166.660445 \n",
       "L 442.768111 165.941027 \n",
       "L 443.622286 165.165288 \n",
       "L 444.425004 164.336416 \n",
       "L 445.172967 163.457816 \n",
       "L 445.863101 162.5331 \n",
       "L 446.49257 161.566066 \n",
       "L 447.058788 160.560689 \n",
       "L 447.559427 159.5211 \n",
       "L 447.992432 158.451571 \n",
       "L 448.356021 157.356497 \n",
       "L 448.648702 156.240377 \n",
       "L 448.869272 155.107798 \n",
       "L 449.016824 153.963414 \n",
       "L 449.090752 152.811928 \n",
       "L 449.090752 151.658072 \n",
       "L 449.016824 150.506586 \n",
       "L 448.869272 149.362202 \n",
       "L 448.648702 148.229623 \n",
       "L 448.356021 147.113503 \n",
       "L 447.992432 146.018429 \n",
       "L 447.559427 144.9489 \n",
       "L 447.058788 143.909311 \n",
       "L 446.49257 142.903934 \n",
       "L 445.863101 141.9369 \n",
       "L 445.172967 141.012184 \n",
       "L 444.425004 140.133584 \n",
       "L 443.622286 139.304712 \n",
       "L 442.768111 138.528973 \n",
       "L 441.86599 137.809555 \n",
       "L 440.919628 137.149414 \n",
       "L 439.932916 136.551263 \n",
       "L 438.909907 136.01756 \n",
       "L 437.854806 135.550498 \n",
       "L 436.771948 135.151997 \n",
       "L 435.665783 134.823692 \n",
       "L 434.540855 134.566935 \n",
       "L 433.401789 134.38278 \n",
       "L 432.253264 134.271983 \n",
       "L 431.1 134.235 \n",
       "L 431.1 134.235 \n",
       "L 407.7 134.235 \n",
       "L 407.7 152.235 \n",
       "L 407.7 170.235 \n",
       "L 431.1 170.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_74\">\n",
       "    <path d=\"M 395.1 161.235 \n",
       "L 407.7 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_75\">\n",
       "    <path d=\"M 395.1 143.235 \n",
       "L 407.7 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_76\">\n",
       "    <path d=\"M 457.74 152.235 \n",
       "L 461.7 152.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_77\">\n",
       "    <path d=\"M 389.7 152.235 \n",
       "L 395.1 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_78\">\n",
       "    <path d=\"M 389.7 152.235 \n",
       "L 395.1 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_79\">\n",
       "    <path d=\"M 503.1 170.235 \n",
       "L 504.253264 170.198017 \n",
       "L 505.401789 170.08722 \n",
       "L 506.540855 169.903065 \n",
       "L 507.665783 169.646308 \n",
       "L 508.771948 169.318003 \n",
       "L 509.854806 168.919502 \n",
       "L 510.909907 168.45244 \n",
       "L 511.932916 167.918737 \n",
       "L 512.919628 167.320586 \n",
       "L 513.86599 166.660445 \n",
       "L 514.768111 165.941027 \n",
       "L 515.622286 165.165288 \n",
       "L 516.425004 164.336416 \n",
       "L 517.172967 163.457816 \n",
       "L 517.863101 162.5331 \n",
       "L 518.49257 161.566066 \n",
       "L 519.058788 160.560689 \n",
       "L 519.559427 159.5211 \n",
       "L 519.992432 158.451571 \n",
       "L 520.356021 157.356497 \n",
       "L 520.648702 156.240377 \n",
       "L 520.869272 155.107798 \n",
       "L 521.016824 153.963414 \n",
       "L 521.090752 152.811928 \n",
       "L 521.090752 151.658072 \n",
       "L 521.016824 150.506586 \n",
       "L 520.869272 149.362202 \n",
       "L 520.648702 148.229623 \n",
       "L 520.356021 147.113503 \n",
       "L 519.992432 146.018429 \n",
       "L 519.559427 144.9489 \n",
       "L 519.058788 143.909311 \n",
       "L 518.49257 142.903934 \n",
       "L 517.863101 141.9369 \n",
       "L 517.172967 141.012184 \n",
       "L 516.425004 140.133584 \n",
       "L 515.622286 139.304712 \n",
       "L 514.768111 138.528973 \n",
       "L 513.86599 137.809555 \n",
       "L 512.919628 137.149414 \n",
       "L 511.932916 136.551263 \n",
       "L 510.909907 136.01756 \n",
       "L 509.854806 135.550498 \n",
       "L 508.771948 135.151997 \n",
       "L 507.665783 134.823692 \n",
       "L 506.540855 134.566935 \n",
       "L 505.401789 134.38278 \n",
       "L 504.253264 134.271983 \n",
       "L 503.1 134.235 \n",
       "L 503.1 134.235 \n",
       "L 479.7 134.235 \n",
       "L 479.7 152.235 \n",
       "L 479.7 170.235 \n",
       "L 503.1 170.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_80\">\n",
       "    <path d=\"M 467.1 161.235 \n",
       "L 479.7 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_81\">\n",
       "    <path d=\"M 467.1 143.235 \n",
       "L 479.7 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_82\">\n",
       "    <path d=\"M 529.74 152.235 \n",
       "L 533.7 152.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_83\">\n",
       "    <path d=\"M 35.1 188.235 \n",
       "L 467.1 143.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_84\">\n",
       "    <path d=\"M 461.7 152.235 \n",
       "L 467.1 161.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_85\">\n",
       "    <path d=\"M 107.1 116.235 \n",
       "M 139.14 116.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_86\">\n",
       "    <path d=\"M 107.1 98.235 \n",
       "L 130.5 116.235 \n",
       "L 107.1 134.235 \n",
       "L 107.1 98.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_87\">\n",
       "    <path d=\"M 35.1 188.235 \n",
       "L 107.1 116.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_88\">\n",
       "    <path d=\"M 431.1 134.235 \n",
       "L 432.253264 134.198017 \n",
       "L 433.401789 134.08722 \n",
       "L 434.540855 133.903065 \n",
       "L 435.665783 133.646308 \n",
       "L 436.771948 133.318003 \n",
       "L 437.854806 132.919502 \n",
       "L 438.909907 132.45244 \n",
       "L 439.932916 131.918737 \n",
       "L 440.919628 131.320586 \n",
       "L 441.86599 130.660445 \n",
       "L 442.768111 129.941027 \n",
       "L 443.622286 129.165288 \n",
       "L 444.425004 128.336416 \n",
       "L 445.172967 127.457816 \n",
       "L 445.863101 126.5331 \n",
       "L 446.49257 125.566066 \n",
       "L 447.058788 124.560689 \n",
       "L 447.559427 123.5211 \n",
       "L 447.992432 122.451571 \n",
       "L 448.356021 121.356497 \n",
       "L 448.648702 120.240377 \n",
       "L 448.869272 119.107798 \n",
       "L 449.016824 117.963414 \n",
       "L 449.090752 116.811928 \n",
       "L 449.090752 115.658072 \n",
       "L 449.016824 114.506586 \n",
       "L 448.869272 113.362202 \n",
       "L 448.648702 112.229623 \n",
       "L 448.356021 111.113503 \n",
       "L 447.992432 110.018429 \n",
       "L 447.559427 108.9489 \n",
       "L 447.058788 107.909311 \n",
       "L 446.49257 106.903934 \n",
       "L 445.863101 105.9369 \n",
       "L 445.172967 105.012184 \n",
       "L 444.425004 104.133584 \n",
       "L 443.622286 103.304712 \n",
       "L 442.768111 102.528973 \n",
       "L 441.86599 101.809555 \n",
       "L 440.919628 101.149414 \n",
       "L 439.932916 100.551263 \n",
       "L 438.909907 100.01756 \n",
       "L 437.854806 99.550498 \n",
       "L 436.771948 99.151997 \n",
       "L 435.665783 98.823692 \n",
       "L 434.540855 98.566935 \n",
       "L 433.401789 98.38278 \n",
       "L 432.253264 98.271983 \n",
       "L 431.1 98.235 \n",
       "L 431.1 98.235 \n",
       "L 407.7 98.235 \n",
       "L 407.7 116.235 \n",
       "L 407.7 134.235 \n",
       "L 431.1 134.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_89\">\n",
       "    <path d=\"M 395.1 125.235 \n",
       "L 407.7 125.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_90\">\n",
       "    <path d=\"M 395.1 107.235 \n",
       "L 407.7 107.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_91\">\n",
       "    <path d=\"M 457.74 116.235 \n",
       "L 461.7 116.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_92\">\n",
       "    <path d=\"M 139.14 116.235 \n",
       "L 395.1 107.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_93\">\n",
       "    <path d=\"M 389.7 152.235 \n",
       "L 395.1 125.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_94\">\n",
       "    <path d=\"M 575.1 134.235 \n",
       "L 576.253264 134.198017 \n",
       "L 577.401789 134.08722 \n",
       "L 578.540855 133.903065 \n",
       "L 579.665783 133.646308 \n",
       "L 580.771948 133.318003 \n",
       "L 581.854806 132.919502 \n",
       "L 582.909907 132.45244 \n",
       "L 583.932916 131.918737 \n",
       "L 584.919628 131.320586 \n",
       "L 585.86599 130.660445 \n",
       "L 586.768111 129.941027 \n",
       "L 587.622286 129.165288 \n",
       "L 588.425004 128.336416 \n",
       "L 589.172967 127.457816 \n",
       "L 589.863101 126.5331 \n",
       "L 590.49257 125.566066 \n",
       "L 591.058788 124.560689 \n",
       "L 591.559427 123.5211 \n",
       "L 591.992432 122.451571 \n",
       "L 592.356021 121.356497 \n",
       "L 592.648702 120.240377 \n",
       "L 592.869272 119.107798 \n",
       "L 593.016824 117.963414 \n",
       "L 593.090752 116.811928 \n",
       "L 593.090752 115.658072 \n",
       "L 593.016824 114.506586 \n",
       "L 592.869272 113.362202 \n",
       "L 592.648702 112.229623 \n",
       "L 592.356021 111.113503 \n",
       "L 591.992432 110.018429 \n",
       "L 591.559427 108.9489 \n",
       "L 591.058788 107.909311 \n",
       "L 590.49257 106.903934 \n",
       "L 589.863101 105.9369 \n",
       "L 589.172967 105.012184 \n",
       "L 588.425004 104.133584 \n",
       "L 587.622286 103.304712 \n",
       "L 586.768111 102.528973 \n",
       "L 585.86599 101.809555 \n",
       "L 584.919628 101.149414 \n",
       "L 583.932916 100.551263 \n",
       "L 582.909907 100.01756 \n",
       "L 581.854806 99.550498 \n",
       "L 580.771948 99.151997 \n",
       "L 579.665783 98.823692 \n",
       "L 578.540855 98.566935 \n",
       "L 577.401789 98.38278 \n",
       "L 576.253264 98.271983 \n",
       "L 575.1 98.235 \n",
       "L 575.1 98.235 \n",
       "L 551.7 98.235 \n",
       "L 551.7 116.235 \n",
       "L 551.7 134.235 \n",
       "L 575.1 134.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_95\">\n",
       "    <path d=\"M 539.1 125.235 \n",
       "L 551.7 125.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_96\">\n",
       "    <path d=\"M 539.1 107.235 \n",
       "L 551.7 107.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_97\">\n",
       "    <path d=\"M 601.74 116.235 \n",
       "L 605.7 116.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_98\">\n",
       "    <path d=\"M 533.7 152.235 \n",
       "L 539.1 107.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_99\">\n",
       "    <path d=\"M 461.7 116.235 \n",
       "L 539.1 125.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_100\">\n",
       "    <path d=\"M 431.1 62.235 \n",
       "L 432.253264 62.198017 \n",
       "L 433.401789 62.08722 \n",
       "L 434.540855 61.903065 \n",
       "L 435.665783 61.646308 \n",
       "L 436.771948 61.318003 \n",
       "L 437.854806 60.919502 \n",
       "L 438.909907 60.45244 \n",
       "L 439.932916 59.918737 \n",
       "L 440.919628 59.320586 \n",
       "L 441.86599 58.660445 \n",
       "L 442.768111 57.941027 \n",
       "L 443.622286 57.165288 \n",
       "L 444.425004 56.336416 \n",
       "L 445.172967 55.457816 \n",
       "L 445.863101 54.5331 \n",
       "L 446.49257 53.566066 \n",
       "L 447.058788 52.560689 \n",
       "L 447.559427 51.5211 \n",
       "L 447.992432 50.451571 \n",
       "L 448.356021 49.356497 \n",
       "L 448.648702 48.240377 \n",
       "L 448.869272 47.107798 \n",
       "L 449.016824 45.963414 \n",
       "L 449.090752 44.811928 \n",
       "L 449.090752 43.658072 \n",
       "L 449.016824 42.506586 \n",
       "L 448.869272 41.362202 \n",
       "L 448.648702 40.229623 \n",
       "L 448.356021 39.113503 \n",
       "L 447.992432 38.018429 \n",
       "L 447.559427 36.9489 \n",
       "L 447.058788 35.909311 \n",
       "L 446.49257 34.903934 \n",
       "L 445.863101 33.9369 \n",
       "L 445.172967 33.012184 \n",
       "L 444.425004 32.133584 \n",
       "L 443.622286 31.304712 \n",
       "L 442.768111 30.528973 \n",
       "L 441.86599 29.809555 \n",
       "L 440.919628 29.149414 \n",
       "L 439.932916 28.551263 \n",
       "L 438.909907 28.01756 \n",
       "L 437.854806 27.550498 \n",
       "L 436.771948 27.151997 \n",
       "L 435.665783 26.823692 \n",
       "L 434.540855 26.566935 \n",
       "L 433.401789 26.38278 \n",
       "L 432.253264 26.271983 \n",
       "L 431.1 26.235 \n",
       "L 431.1 26.235 \n",
       "L 407.7 26.235 \n",
       "L 407.7 44.235 \n",
       "L 407.7 62.235 \n",
       "L 431.1 62.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_101\">\n",
       "    <path d=\"M 395.1 53.235 \n",
       "L 407.7 53.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_102\">\n",
       "    <path d=\"M 395.1 35.235 \n",
       "L 407.7 35.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_103\">\n",
       "    <path d=\"M 449.1 44.235 \n",
       "L 461.7 44.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_104\">\n",
       "    <path d=\"M 389.7 152.235 \n",
       "L 395.1 35.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_105\">\n",
       "    <path d=\"M 35.1 188.235 \n",
       "L 395.1 53.235 \n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 35.1 478.935 \n",
       "C 35.816048 478.935 36.502866 478.650511 37.009188 478.144188 \n",
       "C 37.515511 477.637866 37.8 476.951048 37.8 476.235 \n",
       "C 37.8 475.518952 37.515511 474.832134 37.009188 474.325812 \n",
       "C 36.502866 473.819489 35.816048 473.535 35.1 473.535 \n",
       "C 34.383952 473.535 33.697134 473.819489 33.190812 474.325812 \n",
       "C 32.684489 474.832134 32.4 475.518952 32.4 476.235 \n",
       "C 32.4 476.951048 32.684489 477.637866 33.190812 478.144188 \n",
       "C 33.697134 478.650511 34.383952 478.935 35.1 478.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- X[0] -->\n",
       "    <g transform=\"translate(21.965234 467.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5b\" d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5d\" d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 461.7 406.935 \n",
       "C 462.416048 406.935 463.102866 406.650511 463.609188 406.144188 \n",
       "C 464.115511 405.637866 464.4 404.951048 464.4 404.235 \n",
       "C 464.4 403.518952 464.115511 402.832134 463.609188 402.325812 \n",
       "C 463.102866 401.819489 462.416048 401.535 461.7 401.535 \n",
       "C 460.983952 401.535 460.297134 401.819489 459.790812 402.325812 \n",
       "C 459.284489 402.832134 459 403.518952 459 404.235 \n",
       "C 459 404.951048 459.284489 405.637866 459.790812 406.144188 \n",
       "C 460.297134 406.650511 460.983952 406.935 461.7 406.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- $Y[0]$ -->\n",
       "    <g transform=\"translate(449.0125 395.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-59\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 1953 2747 \n",
       "L 3616 4666 \n",
       "L 4325 4666 \n",
       "L 2209 2222 \n",
       "L 1778 0 \n",
       "L 1147 0 \n",
       "L 1575 2222 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 35.1 334.935 \n",
       "C 35.816048 334.935 36.502866 334.650511 37.009188 334.144188 \n",
       "C 37.515511 333.637866 37.8 332.951048 37.8 332.235 \n",
       "C 37.8 331.518952 37.515511 330.832134 37.009188 330.325812 \n",
       "C 36.502866 329.819489 35.816048 329.535 35.1 329.535 \n",
       "C 34.383952 329.535 33.697134 329.819489 33.190812 330.325812 \n",
       "C 32.684489 330.832134 32.4 331.518952 32.4 332.235 \n",
       "C 32.4 332.951048 32.684489 333.637866 33.190812 334.144188 \n",
       "C 33.697134 334.650511 34.383952 334.935 35.1 334.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- X[1] -->\n",
       "    <g transform=\"translate(21.965234 323.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 533.7 262.935 \n",
       "C 534.416048 262.935 535.102866 262.650511 535.609188 262.144188 \n",
       "C 536.115511 261.637866 536.4 260.951048 536.4 260.235 \n",
       "C 536.4 259.518952 536.115511 258.832134 535.609188 258.325812 \n",
       "C 535.102866 257.819489 534.416048 257.535 533.7 257.535 \n",
       "C 532.983952 257.535 532.297134 257.819489 531.790812 258.325812 \n",
       "C 531.284489 258.832134 531 259.518952 531 260.235 \n",
       "C 531 260.951048 531.284489 261.637866 531.790812 262.144188 \n",
       "C 532.297134 262.650511 532.983952 262.935 533.7 262.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- $Y[1]$ -->\n",
       "    <g transform=\"translate(521.0125 251.335391) scale(0.125 -0.125)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 35.1 190.935 \n",
       "C 35.816048 190.935 36.502866 190.650511 37.009188 190.144188 \n",
       "C 37.515511 189.637866 37.8 188.951048 37.8 188.235 \n",
       "C 37.8 187.518952 37.515511 186.832134 37.009188 186.325812 \n",
       "C 36.502866 185.819489 35.816048 185.535 35.1 185.535 \n",
       "C 34.383952 185.535 33.697134 185.819489 33.190812 186.325812 \n",
       "C 32.684489 186.832134 32.4 187.518952 32.4 188.235 \n",
       "C 32.4 188.951048 32.684489 189.637866 33.190812 190.144188 \n",
       "C 33.697134 190.650511 34.383952 190.935 35.1 190.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_5\">\n",
       "    <!-- X[2] -->\n",
       "    <g transform=\"translate(21.965234 179.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_22\">\n",
       "    <path d=\"M 605.7 118.935 \n",
       "C 606.416048 118.935 607.102866 118.650511 607.609188 118.144188 \n",
       "C 608.115511 117.637866 608.4 116.951048 608.4 116.235 \n",
       "C 608.4 115.518952 608.115511 114.832134 607.609188 114.325812 \n",
       "C 607.102866 113.819489 606.416048 113.535 605.7 113.535 \n",
       "C 604.983952 113.535 604.297134 113.819489 603.790812 114.325812 \n",
       "C 603.284489 114.832134 603 115.518952 603 116.235 \n",
       "C 603 116.951048 603.284489 117.637866 603.790812 118.144188 \n",
       "C 604.297134 118.650511 604.983952 118.935 605.7 118.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_6\">\n",
       "    <!-- $Y[2]$ -->\n",
       "    <g transform=\"translate(593.0125 107.335391) scale(0.125 -0.125)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_23\">\n",
       "    <path d=\"M 461.7 46.935 \n",
       "C 462.416048 46.935 463.102866 46.650511 463.609188 46.144188 \n",
       "C 464.115511 45.637866 464.4 44.951048 464.4 44.235 \n",
       "C 464.4 43.518952 464.115511 42.832134 463.609188 42.325812 \n",
       "C 463.102866 41.819489 462.416048 41.535 461.7 41.535 \n",
       "C 460.983952 41.535 460.297134 41.819489 459.790812 42.325812 \n",
       "C 459.284489 42.832134 459 43.518952 459 44.235 \n",
       "C 459 44.951048 459.284489 45.637866 459.790812 46.144188 \n",
       "C 460.297134 46.650511 460.983952 46.935 461.7 46.935 \n",
       "z\n",
       "\" clip-path=\"url(#p74925fb3d9)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_7\">\n",
       "    <!-- $Y[3]$ -->\n",
       "    <g transform=\"translate(449.0125 35.335391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-33\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p74925fb3d9\">\n",
       "   <rect x=\"3.6\" y=\"3.6\" width=\"633.6\" height=\"497.97\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x1245c2110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 3\n",
    "def INC(*X,n=N):\n",
    "    Result = [0]*(n+1)\n",
    "    Carry  = one(X[0])\n",
    "    for i in range(n):\n",
    "        Result[i] = XOR(Carry,X[i])\n",
    "        Carry = Carry & X[i]\n",
    "    Result[n] = Carry\n",
    "    return Result\n",
    "circuit(INC,n=N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "print(P := AON(lambda *X: INC(*X)[0],N))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "EVAL(P,[1,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x       | INC(x) \n",
       "--------|--------\n",
       "000     | [1, 0, 0, 0]\n",
       "001     | [1, 0, 1, 0]\n",
       "010     | [1, 1, 0, 0]\n",
       "011     | [1, 1, 1, 0]\n",
       "100     | [0, 1, 0, 0]\n",
       "101     | [0, 1, 1, 0]\n",
       "110     | [0, 0, 1, 0]\n",
       "111     | [0, 0, 0, 1]\n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "table(INC,N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"411.285625pt\" height=\"310.86825pt\" viewBox=\"0 0 411.285625 310.86825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:19:23.891983</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 310.86825 \n",
       "L 411.285625 310.86825 \n",
       "L 411.285625 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 46.965625 273.312 \n",
       "L 404.085625 273.312 \n",
       "L 404.085625 7.2 \n",
       "L 46.965625 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path id=\"medd2daba07\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"63.198352\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(56.835852 287.910437) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"109.577573\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(103.215073 287.910437) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
       "L 3169 4666 \n",
       "L 3169 4134 \n",
       "L 1269 4134 \n",
       "L 1269 2991 \n",
       "Q 1406 3038 1543 3061 \n",
       "Q 1681 3084 1819 3084 \n",
       "Q 2600 3084 3056 2656 \n",
       "Q 3513 2228 3513 1497 \n",
       "Q 3513 744 3044 326 \n",
       "Q 2575 -91 1722 -91 \n",
       "Q 1428 -91 1123 -41 \n",
       "Q 819 9 494 109 \n",
       "L 494 744 \n",
       "Q 775 591 1075 516 \n",
       "Q 1375 441 1709 441 \n",
       "Q 2250 441 2565 725 \n",
       "Q 2881 1009 2881 1497 \n",
       "Q 2881 1984 2565 2268 \n",
       "Q 2250 2553 1709 2553 \n",
       "Q 1456 2553 1204 2497 \n",
       "Q 953 2441 691 2322 \n",
       "L 691 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"155.956794\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(149.594294 287.910437) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"202.336015\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(195.973515 287.910437) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"248.715235\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(242.352735 287.910437) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"295.094456\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 35 -->\n",
       "      <g transform=\"translate(288.731956 287.910437) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"341.473677\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 40 -->\n",
       "      <g transform=\"translate(335.111177 287.910437) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#medd2daba07\" x=\"387.852898\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 45 -->\n",
       "      <g transform=\"translate(381.490398 287.910437) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- input length -->\n",
       "     <g transform=\"translate(195.138125 301.588562) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-67\" d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 4863 \n",
       "L 1159 4863 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6e\" x=\"27.783203\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-70\" x=\"91.162109\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-75\" x=\"154.638672\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"218.017578\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"257.226562\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"289.013672\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"316.796875\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6e\" x=\"378.320312\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-67\" x=\"441.699219\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"505.175781\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-68\" x=\"544.384766\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path id=\"m05d3214126\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m05d3214126\" x=\"46.965625\" y=\"217.44\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 100 -->\n",
       "      <g transform=\"translate(20.878125 221.239219) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m05d3214126\" x=\"46.965625\" y=\"159.84\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 150 -->\n",
       "      <g transform=\"translate(20.878125 163.639219) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m05d3214126\" x=\"46.965625\" y=\"102.24\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 200 -->\n",
       "      <g transform=\"translate(20.878125 106.039219) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m05d3214126\" x=\"46.965625\" y=\"44.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 250 -->\n",
       "      <g transform=\"translate(20.878125 48.439219) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-35\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- circuit size -->\n",
       "     <g transform=\"translate(14.798438 166.888031) rotate(-90) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
       "L 3122 2828 \n",
       "Q 2878 2963 2633 3030 \n",
       "Q 2388 3097 2138 3097 \n",
       "Q 1578 3097 1268 2742 \n",
       "Q 959 2388 959 1747 \n",
       "Q 959 1106 1268 751 \n",
       "Q 1578 397 2138 397 \n",
       "Q 2388 397 2633 464 \n",
       "Q 2878 531 3122 666 \n",
       "L 3122 134 \n",
       "Q 2881 22 2623 -34 \n",
       "Q 2366 -91 2075 -91 \n",
       "Q 1284 -91 818 406 \n",
       "Q 353 903 353 1747 \n",
       "Q 353 2603 823 3093 \n",
       "Q 1294 3584 2113 3584 \n",
       "Q 2378 3584 2631 3529 \n",
       "Q 2884 3475 3122 3366 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-7a\" d=\"M 353 3500 \n",
       "L 3084 3500 \n",
       "L 3084 2975 \n",
       "L 922 459 \n",
       "L 3084 459 \n",
       "L 3084 0 \n",
       "L 275 0 \n",
       "L 275 525 \n",
       "L 2438 3041 \n",
       "L 353 3041 \n",
       "L 353 3500 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-63\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-69\" x=\"54.980469\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-72\" x=\"82.763672\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-63\" x=\"121.626953\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-75\" x=\"176.607422\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-69\" x=\"239.986328\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"267.769531\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"306.978516\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-73\" x=\"338.765625\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-69\" x=\"390.865234\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-7a\" x=\"418.648438\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"471.138672\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 63.198352 261.216 \n",
       "L 109.577573 226.656 \n",
       "L 155.956794 192.096 \n",
       "L 202.336015 157.536 \n",
       "L 248.715235 122.976 \n",
       "L 295.094456 88.416 \n",
       "L 341.473677 53.856 \n",
       "L 387.852898 19.296 \n",
       "\" clip-path=\"url(#pfc50a8f6ab)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 46.965625 273.312 \n",
       "L 46.965625 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 404.085625 273.312 \n",
       "L 404.085625 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 46.965625 273.312 \n",
       "L 404.085625 273.312 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 46.965625 7.2 \n",
       "L 404.085625 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pfc50a8f6ab\">\n",
       "   <rect x=\"46.965625\" y=\"7.2\" width=\"357.12\" height=\"266.112\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = list(range(10,50,5))\n",
    "Y = [circ_size(lambda *X:INC(*X,n=n),n) for n in X]\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(X,Y)\n",
    "plt.ylabel('circuit size')\n",
    "plt.xlabel('input length')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def n2b(x,n=N): \n",
    "    L= [int(i) for i in bin(x)[2:]][::-1]\n",
    "    return L + [0]*(n-len(L))\n",
    "\n",
    "def b2n(L): return sum([x*2**i for i,x in enumerate(L)])\n",
    "\n",
    "b2n( INC(*n2b(5)))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Q__ Show that there is a Boolean circuit that computes $ADD_2:\\{0,1\\}^4 \\rightarrow \\{0,1\\}^3$ such that $ADD_2(a,b,c,d)$ is the binary representation of $a +2b+c+2d$.\n",
    "\n",
    "_Extra:_ Show a circuit for $ADD_n:\\{0,1\\}^{2n} \\rightarrow \\{0,1\\}^{2n}$ such that \n",
    "$$ADD_n(x_0,\\ldots,x_{n-1},y_0,\\ldots,y_{n-1}) = \\sum_{i=0}^{n-1}2^i(x_i+y_i)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+oAAAOZCAYAAACJKNq9AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdeVxUZfs/8M+wi4oCrlDkTi4JgZpLmZiWplguJe65lKZQCWpm4iNgjxtQKW65fXFDcylJS3PL1MwFRCXFPSUCFRcEgWGZ8/uD39zPjIDCMDNnBj7v16tXZ+4znHPhcGbmOvd9X7dCkiQJRERERERERGQSLOQOgIiIiIiIiIj+h4k6ERERERERkQlhok5ERERERERkQpioExEREREREZkQJupEREREREREJoSJOhEREREREZEJYaJOREREREREZEKYqBMRERERERGZECbqRERERERERCaEiToRERERERGRCWGiTkRERERERGRCmKgTERERERERmRAm6kREREREREQmhIk6ERERERERkQlhok5ERERERERkQpioExEREREREZkQJupEREREREREJoSJOhEREREREZEJYaJOREREREREZEKYqBMRERERERGZECbqRERERERERCaEiToRERERERGRCWGiTkRERERERGRCmKgTERERERERmRAm6kREREREREQmhIk6ERERERERkQlhok5ERERERERkQpioExEREREREZkQJupEREREREREJoSJOhEREREREZEJYaJOREREREREZEKYqBMRERERERGZECbqRERERERERCaEiToRERERERGRCWGiTkRERERERGRCmKgTERERERERmRAm6kREREREREQmhIk6ERERERERkQlhok5ERERERERkQpioExEREREREZkQJupEREREREREJoSJOhEREREREZEJYaJOREREREREZEKs5A6AqCwSEhKwfv16KJVKWeOwsrKCvb096tWrBzc3N7Rs2RItWrSApaWlrHERERERkfnLyMhAfn6+wc9TrVo12NvbQ6FQGPxcpBuFJEmS3EEQPY0kSWjcuDFu3rwpdyglqlGjBjp16oTevXujf//+aNSokdwhEREREZGZmTRpEpYuXWq089nY2KBevXpwd3dHy5Yt0blzZ3Tt2hWurq5Gi6G8Zs+ejZCQEPE4JycHdnZ25T7Onj170Lt3b/F45cqVGDdunF5i1BcOfSeTV1hYaLJJOgBkZWVh3759CAwMROPGjdGtWzds3boVBQUFcodGRERERGZAkiTs2LHDqOfMy8vDP//8gwMHDiAqKgpDhw7Fc889h5dffhlfffUV/v77b6PFMnDgQFhYWODixYsl7h83bhwsLCzwww8/AADWr1+P9evXw8bGRjzn9OnT+Oyzz9C2bVvUrFkTDRo0wBtvvIH9+/cXO56HhwfWr1+PGTNmGOYX0gP2qJPJKygogLW1NQCgbdu2WL16tSxxSJKEgoICPH78GGlpabh+/TrOnz+P48ePIyUlpdjzmzZtitDQUPj5+cHCgvfEiIiIiKh0y5Ytw8SJE8Xj+vXro127dno/jyRJyM7OxoMHD5CcnIz79++X+DwLCwv4+voiICAA3bt3N+gw+dOnT6N9+/b46KOPsGLFCq19CxcuxLRp0zB37lzk5uYiJCQEJaWwgwYNwuHDhzFw4EB4eXkhKysLa9euRWJiIpYuXYqPP/642M/89ttv8PHxMckedSbqZPI0E/UuXbrg6NGjMkekTZIkJCUl4YcffsC6detw6dIlrf1dunTB8uXL0aZNG5kiJCIiIiJz8J///AehoaEAAEtLS+zevRtvvfWWQc+Znp6O+Ph4HDlyBHv37sWpU6eKPadDhw5YsGABXn/9dYPF8cYbb+D48eNITk6Gs7MzACA2Nhb9+/fHyJEjsXbtWjH0vaQU9tixY2jXrh1sbW1FW05ODjw9PXH37l3cuXMHVlbaJdpMOVFnNx9RBSkUCrRs2RIzZszAxYsXsW/fPvj4+Ij9x44dg7e3NyIjI0t8UyEiIiIiAormYKt71QsLC+Hn54dr164Z9Jx16tTBm2++ibCwMJw8eRJ///035syZozVX/eTJk+jWrRv69u2Ly5cvGySO6dOnIycnB8uXLwdQVEx66NChePXVV4v1spekS5cuWkk6UFQ0r2/fvnjw4AFSU1MNErehMFEn0iOFQoEePXrg4MGD2LNnD1q0aAGgaA5QUFAQBg8ejOzsbJmjJCIiIiJTpFAosHjxYvTr1w8A8PDhQ/Tv3x+PHz82WgwvvPACvvzyS9y4cQObN2/WGhW6e/dueHh4IDw8HIWFhXo9b8+ePeHl5YUlS5bg5s2b8PX1RYMGDbBjxw6tuejl9e+//8LKygpOTk56jNbwmKgTGchbb72Fc+fOYcqUKaJt69at6NGjR6lzgYiIiIioarOwsMD69evx4osvAgDOnz+PDz/80OhxWFtbY/DgwUhISMDatWvx3HPPAQByc3MxdepUdO7cGVeuXNHrOT///HOkpqbC29sbWVlZ2LVrlxgGr4uLFy9ix44d6NevH6pXr67HSA2PiTqRAdna2mLhwoWIjY1FzZo1AQDHjx/Hm2++iYcPH8obHBERERGZJAcHB/z444/i+2NMTAy2bNkiSyyWlpb44IMPkJSUhMmTJ4uicidPnkS7du30Wq1+0KBBaNKkCe7du4etW7eKmxW6yMjIwMCBA2Fvb4+vv/5abzEaCxN1IiPw9fXF77//jvr16wMA4uLi8M4770CpVMocGRERERGZInd3d6xcuVI8njhxoqzzrKtXr47IyEgcO3YM7u7uAIBHjx5h4MCBmDJlil6WJrawsIClpSWaNGmCHj166HycnJwc+Pr64saNG/jxxx/h5uZW4diMjYk6kZF4enri4MGDqFu3LgDg999/h7+/v8xREREREZGpGjx4MAYPHgwAuH//PiZMmCBzRECnTp1w+vRpDBkyRLRFREToZS59VlYWrl27Bk9PT52PkZeXh/79++PPP//E1q1bDVqp3pCYqBMZUatWrbBr1y5Uq1YNALBq1Sps3LhR5qiIiIiIyFQtWbJEjMqMjY3Fr7/+KnNEQI0aNbBx40YsXrxYLKO8a9cudO/eHXfu3NH5uGfPnoVKpdI5US8oKMD777+Pffv2Yd26dejbt6/OsciNiToZnCRJUKlUcodhMjp06IDvvvtOPPb39ze75SKIiIiI6H8KCwsNtgyvs7MzIiMjxeOgoCC9V1zXhUKhgL+/P/bs2QMHBwcARfPWO3fujJs3b+p0zISEBADAyy+/XO6fValUGD58OHbu3Inly5fDz89PpxhMhdWzn0KkuwsXLqBjx47Iy8uDk5MTLCwqdm8oPT1dT5HJa/jw4dizZw82btyIhw8fIigoCJs2bZI7LCIiIiIqpwsXLqBz587Izc2Fs7OzKLamb9bW1sjPz0diYiL8/f2xbNkyg5ynvLp3744jR47g7bffRkpKCq5duwYfHx8cOnQIL7zwQrmOdebMGQDQqUd9ypQp2LJlC15//XVUq1YNGzZs0Nrfs2dPMTLBHDBRJ4NavHgxMjMzAUAvvcYpKSkVPoap+Pbbb7F3716kp6cjJiYGn376KV555RW5wyIiIiKicli/fj0yMjIAFK3ZbQxr167FkiVLKtwJpi9t27bF8ePH0aNHD1y+fBk3btzQKVlPSEiAs7OzWAquPOLj4wEAhw8fxuHDh4vtP3ToEBN1IrU///xTbDds2FDnNxN1gu7q6qqXuEyBs7MzQkJCMGnSJABAWFgYdu3aJXNURERERFQemnOy69WrJ+ZsG0J6ejqUSiWUSiV++eUX9OnTx2DnKq/nn38ehw4dgo+Pj1ayfuzYMTRs2LBMxzh9+nSZnqceZVunTh3R9ttvv5U51vz8fGRkZIgbLKaIiToZTHZ2Ns6fPw8AaNOmjdgur4KCAvGGp3kxVgbjxo3DvHnzkJycjN27d+PixYto2bKl3GERERERURndvXtXbJ87d86gvbY//fQT+vXrBwD4+uuvTSpRBwAXF5diyXrv3r1x+PBh1KpVS2/nUa+ilJOTAzs7u3L//IEDB9C7d2+9xWMIpjFWgiqluLg4UeiCQ7pLZmNjg8mTJ4vHmkXmiIiIiMj0adZQcnJyMui5+vTpg2bNmgEoSjaTk5MNej5dqJP1Ro0aASiq5D5gwAAolcoKH3vkyJHYt2+f+M/Gxkan47Rv317rOG+//XaFY9M3JupkMJrD3jt27ChjJKZt1KhR4k1my5YtJlHFk4iIiIjKRt2j7ujoaNBh7wBgYWGBESNGiMdbt2416Pl05eLigj179sDZ2RkAcPDgQYwePbrClfGbNGmCHj16iP90nVbr7OysdRwXF5cKxWUITNTJYE6cOCG22aNeOicnJ/Tq1QtAUcE9zX83IiIiIjJtJc2XNqT3339fbO/evdso59SFu7s7du3ahWrVqgEAYmJiMHfuXJmjMh9M1Mlg1D3qNWrUQKtWrWSOxrSp5xoBRcOYiIiIiMj05efn4+HDhwD+N2/a0Nzd3UUl9WPHjiE3N9co59VFx44dsXnzZrFk3cyZM/HTTz/JHJV5YKJOBpGSkiIqtbdv3x6WlpYyR2TaunfvLrY1pwwQERERkem6d++e2DZWj7pCoYCPjw8AQKlUirXHTVW/fv0wZ84cAIAkSRg2bBguXLigl2Nfv34dsbGx+Pnnn/HgwQO9HNNUMFEng+Cw9/Jp1KiRKD6iXgOSiIiIiEybZsV3Y/WoA4CXl5fY1nVlJWP64osvMHjwYABAZmYm+vfvj8zMTJ2Pd/XqVfTq1QtNmzbFO++8gz59+sDV1RUTJkzA48eP9RW2rJiok0Fo9gozUX82hUIhpgekpaUhKytL5oiIiIiI6Fk0K74bcxnh1q1bi+1Lly4Z7by6UigUWL16NTw9PQEAly9fxscff6xTcblr166hS5cu2Lt3r1Z7Tk4OVqxYgV69epn0dICyYqJOBsEe9fJTzzUCgH/++UfGSIiIiIioLOTqUX/++efFdmpqqtHOWxHVq1fH1q1bUbNmTQDAxo0bsXbt2nIfZ+rUqbhz506p+48ePYqVK1fqHKepsJI7AKp8CgoKcPr0aQCAm5sbGjZsKHNE5kG9fAWACs2xOXPmDDZt2oTCwkJYW1vD2toaNjY2JW6X93Fp+6ysrESRECIiIqKqQq4e9Xr16pUYg6lr1qwZVq1aJYbB+/v745VXXtEaIfA0//77L3bu3PnM5y1fvhwBAQEVilVuTNRJ7xITE5GdnQ2A66eXh3rpCqCo6IatrW25jyFJEm7fvi3LWuxWVlY6JfkVuUGgz/Ow4CERERGVl1w96jY2NmI7Ly/PaOfVh/fffx979+7FmjVrkJOTg/bt24taTc+iVCqhUqme+byLFy9CkiSz7khiok56x2HvutGco2NOd0bVCgoKUFBQIHcYOlMoFEa7mWConzXnDyMiIiJzJFePuiZd5nnLKScnBydPntR6rF4tSl9sbGzM/nsRE3XSOybqunn06JHYrlevHqytrXU6jiRJsLGxwbhx4/Daa68hPz8feXl5yM/PL7Zd3sf6+Fk5evvLQpIkKJVKKJVKuUPRmaWlpcmNVCjvqAZz/1AlIqKqRa4edc3vjbVq1TLaefXhs88+Q2JiIgDA1tYWzs7OZf78lyQJaWlpz+xV7927d4XjlBsTddI7dcV3KysrraUj6OnS0tLE9smTJ7WKy1UmKpUKBQUFBr8hYMifNdU714WFhcjJyUFOTo7coejMFEcqlOe5Fhas0UpEVJXI1aN++/ZtsV3WYeOm4P/+7//w3XffASia9nn69Gmx8lFZhYSEYPbs2U99zqeffqpriCaDiTrpVUZGBpKSkgAAHh4eWvOu6emuX78OoOgGh6urq8zRGI6FhQVsbGy05laZm8LCQtluLujjPKY8RUEdq7lS/32b2s2Esv4sC0MSEZWPOlG3tbVFjRo1jHbea9euie2mTZsa7bwVcfr0aUyYMEE8XrJkSbmTdAD48ssv8ddff2Hr1q0l7v/mm2/QrVs3XcM0GUzUSa9OnTolehs57L3s8vLycPHiRQBA8+bNYWXFS9OUWVpawtLSEnZ2dnKHohNJkp45qsHURzmUpZCMHFQqFXJzc816/VYWhiQiKjv10Pc6deoY9Ubn+fPnxXbz5s2Ndl5d3b17FwMGDBBTDCdMmIDRo0frdCwrKyts3rwZAwcOxPLly3H27FlYW1vjjTfeQEBAADp16qTP0GXDbID0Sj3sHWDF9/KIi4sTvYje3t4yR0OVnUKhEMmNuVKpVCZ/M+FZj00VC0PK/7Mc1UBkHiRJEj3qxi4kp/mdu3379kY9d3nl5eXhvffeQ3JyMgCgU6dO+Pbbbyt0TAsLCwwePFgs81YZMVEnvWIhOd38+uuvYrsyDNUhMjQLCwvY2trqtIyhKZAkCYWFhWZ3c0Fzm4UhDYeFIYnMQ2ZmplgazZiF5JRKJY4cOQKgqABxkyZNjHbu8pIkCWPHjsXhw4cBAA0aNMC2bdvMegqksTBRJ72RJEkk6o6OjmYxDMdU7NixQ2z37NlTxkiIyBgUCgWsrKzMepoLC0MaDgtDyj/dgoUhqSzkKiR3+PBhZGVlASiqbm7KN8ZmzZqFDRs2AADs7Ozwww8/wMXFReaozIP5fkMgk3Pjxg0xT+eVV14x6TcNU5KQkIBz584BADp06AA3NzeZIyIiejYWhmRhyKdRx2quWBiSykKupdk2bdoktvv27Wu085bXypUrMWfOHABFN6g3bdrEqbHlwESd9IbD3nWzZMkSsf3BBx/IFwgRURXDwpDyj3JgYUjDYWFIw5OjRz0zM1NUO69Vqxb69OljlPOW14YNGzB+/Hjx+JtvvkH//v1ljMj8MFEnvSktUZckCZIkcRhZCZKTkxEdHQ0AqFmzJoYNGyZzREREZC5YGNI0bkSYKhaGNPzPalZet7OzgyRJBh/JsHz5cmRnZwMAhgwZYpJLIW/duhWjRo0S04uCgoLwySefyByV+WGiTnqjWX2yQ4cOAICLFy+iY8eOUCqVcHJyqnCyrnnnsjIIDg4WH/L+/v5wcHCQOSIiIiLjYWFI+W9MsDCkfnz++ef4z3/+AycnJ4Ml65IkIS0tTTz+7LPPDHKeiti+fTuGDh0qRstMnDgRCxculDkq86SQTLWSCpkVpVIJBwcH5OXloXnz5rh8+TIAYNKkSVi6dKnezlOjRg1kZmbq7XhyOnLkCLp27QqgqPjelStX4OzsLHNUREREVJWwMKR5cnJywr179+QOQ8vKlSsxYcIEkaSPHTsW3333HUfV6og96qQXCQkJYnkKzWHvp06dEtsNGzbU+UJNSUkBALi6ulYgStORmZmJMWPGiMchISFM0omIiMjoWBhS9xsEhw8fxtWrVwEArVu3Rnp6usFW81CpVEhLSxM3JaZPn26Q8+hCkiT897//xcyZM0XbBx98gBUrVjBJrwAm6qQXmvPT1dUc8/LycPbsWQDAiy++iIsXL+p07IKCAjH/zphLXxiKJEn46KOPxBt7x44dMXHiRJmjIiIiIjJPchWG7Nevn/g+d+DAAdSvX99g5/roo4+wcuVKAMDQoUMxdepUg52rPHJzc+Hv74/Vq1eLtilTpmD+/PlM0iuIiTrpRUmF5M6fPy962du1aydLXKYoNDQUmzdvBgA4ODhgw4YNZlHZlIiIiIj+R7N2kpOTk8HOc/z4caxatQpAUfHh8PBwg52rPFJSUjBgwACcPHlStC1YsMBkbiKYOybqpBfqQnJ2dnZo27YtAOD06dNif/v27WWJy9R8/fXXmD17NoCiaqbR0dFo2rSpvEERERERUbmp11F3dHQ02OoLjx49wvDhw8WQ95CQEDRs2NAg5yqPX375BaNHj8bt27cBANWqVcPq1asxZMgQmSOrPDgegSrs7t27uH79OgDAy8tLzHHSnJ9e1XvUJUnCrFmzEBgYKNrCw8Px7rvvyhcUEREREelM3aNuyKmZ/v7+4nt2x44d4e/vb7BzlUVWVhbGjx+Pt99+WyTpL7zwAv744w8m6XrGHnWqMM3hLpqF5NQ96paWlvD09DR2WCbj0aNHGDt2LLZt2ybaQkJCtJJ2IiIiIjIf+fn5ePjwIQCgbt26BjlHdHQ01q9fD6BoyPumTZsM1nP/LJIk4YcffkBQUBD+/vtv0d6rVy+sX7++UtSRMjXsUacK01w/XV1ILjs7G4mJiQCKqmDa29vLEpvcDh06BA8PD60k/ZtvvsGsWbNkjIqIiIiIKkJzaTRDJKnHjh3DRx99JB4vX74cjRs31vt5yiIuLg4+Pj4YOHCgSNKrV6+O5cuX4+eff2aSbiDsUacKK6mQ3NmzZ1FYWAigas5Pv3btGmbOnCmKxgFFheM2btyIvn37yhgZEREREVWUen46oP8e9b///hv9+/cXRZknTJiAoUOH6vUczyJJEg4dOoQFCxZg7969Wvu6d++O7777jnWWDIyJOlWISqUSQ9/r168PNzc3AFVzfrokSfjzzz8RFRWF77//HgUFBWLfa6+9hujoaNnuhBIRERGR/mhWfNdnj/L9+/fRt29fcSPgjTfewKJFi/R2/KeRJAmJiYn48ccfER0djWvXrmntb9q0KSIiItCvXz8oFAqjxFSVMVGnCrl06RIyMjIAFA17V1+0VaXie2ZmJv7880/s27cPP/74I65cuaK139nZGXPnzsXYsWO5liQRERFRJWGIHvXMzEx07twZly5dAgDUqlULixcvRnp6OiRJKvYfgHK1P7kvLy8Pt27dwpUrV3Dq1CkcP34cycnJxeJq1KgRpk6dirFjx8LW1lYvvys9GxN1qpCShr0D/+tRt7GxwUsvvaS38127dk2WapdKpRKrVq1CgwYN0L17d9y+fRvXrl3DzZs3xZueJmdnZwQEBGDy5MlwcHAwerxERESmKCEhAevXr4dSqZQ1DisrK9jb26NevXpwc3NDy5Yt0aJFC1haWsoalxwyMjKQn59v8PNUq1YN9vb2laYn1hA96k9+Z8zIyECrVq30cmxd9OjRA+PGjcPAgQNhZcW00dj4L04VUlKi/ujRI3En0MPDQyzXpg9paWlYsmSJ3o6ny/k3bdpU4j4LCwt07doVo0aNwuDBg1GtWjUjR0dERGS6JEnCu+++i5s3b8odSolq1KiBTp06oXfv3ujfvz8aNWokd0gGN2nSJCxdutRo57OxsUG9evXg7u6Oli1bonPnzujatStcXV2NFoO+6LtHvaSOH2Ozt7dHly5d4Ovri3feeUdMaSV5KCRT+Ksgs/Xyyy8jISEBCoUCGRkZqFmzJn777Tf4+PgAAD7++GO9fAC8++672LlzZ4WPo08ODg5o2bIlvL290aVLF7z55puseklERFSKgoIC2ZaW0sXrr7+OSZMmoX///pWyN1GSJLi4uCAtLU3uUODp6YlBgwZh2LBhZnODJCAgAFFRUQCKOq46dOhQ4WNOmTIFERERaNy4Mdq0aQOFQiH+A6D1uKT/yvscS0tLuLq6onHjxmjbti3atGlTKf/WzRUTddJZdnY2HBwcUFhYiDZt2uD8+fMAgPDwcEydOhUAsGbNGowePbrC51IXt5BzqNyDBw9Qu3Zt1K5dG/Xq1YODg0OlGb5FRERkaJqJetu2bbF69WpZ4pAkCQUFBXj8+DHS0tJw/fp1nD9/HsePH0dKSkqx5zdt2hShoaHw8/OrdPVmli1bhokTJ4rH9evXN0gRYEmSkJ2djQcPHiA5ORn3798v8XkWFhbw9fVFQEAAunfvbtLfs/z8/LBlyxYAwPXr11kwmPSOt0xIZ3FxcWIJtpLmpwP6q/iuUCj0OtediIiI5FOzZk2TWxVGkiQkJSXhhx9+wLp168Q0vmvXrmHYsGFYunQpli9fjjZt2sgcqf58/PHHSEtLQ2hoKICiedcBAQF46623DHre9PR0xMfH48iRI9i7d6/47qhSqbBz507s3LkTHTp0wIIFC/D6668bNBZdGarqO5Fa5botSEb1559/iu2OHTuKbXXFd3t7e7Rs2dLocRERERGVl0KhQMuWLTFjxgxcvHgR+/btE1P5AODYsWPw9vZGZGSkScwn1pfZs2eLXvXCwkL4+fkVW5ZL3+rUqYM333wTYWFhOHnyJP7++2/MmTNHa676yZMn0a1bN/Tt2xeXL182aDy6UCfqtra2qFGjhszRUGXERJ10VlIhuXv37uH69esAiuavc54LERERmRuFQoEePXrg4MGD2LNnD1q0aAEAyMvLQ1BQEAYPHozs7GyZo9QPhUKBxYsXo1+/fgCAhw8fon///nj8+LHRYnjhhRfw5Zdf4saNG9i8ebPWqIXdu3fDw8MD4eHhYiSnKVAXk6tTp45JD9En88VEnXSm7lGvUaOGWDoiLi5O7K/M66cTERFR1fDWW2/h3LlzmDJlimjbunUrevToUepca3NjYWGB9evX48UXXwQAnD9/Hh9++KHR47C2tsbgwYORkJCAtWvX4rnnngMA5ObmYurUqejcuTOuXLli9LieJEmS6FHnsHcyFCbqpJOUlBRRcKV9+/Zi3VFDzE8nIiIikpOtrS0WLlyI2NhY1KxZEwBw/PhxvPnmm3j48KG8wemJg4MDfvzxR/H7xcTEiGJpxmZpaYkPPvgASUlJmDx5suixPnnyJNq1a4cdO3bIEpdaZmYm8vLyAOhnaTaikjBRJ52UNOwd+N/8dIA96kRERFS5+Pr64vfff0f9+vUBFI0kfOedd2RdlUaf3N3dsXLlSvF44sSJSE1NlS2e6tWrIzIyEseOHYO7uzsA4NGjRxg4cCCmTJmCgoICWeJiITkyBibqpBPNQnIlVXx3cHBAs2bNjB4XERERkSF5enri4MGDoif1999/h7+/v8xR6c/gwYMxePBgAMD9+/cxYcIEmSMCOnXqhNOnT2PIkCGiLSIiwuhz6dXU89MB9qiT4TBRJ52U1KOempoqhsO3a9eu0q01SkRERAQArVq1wq5du1CtWjUAwKpVq7Bx40aZo9KfJUuWiFEDsbGx+PXXX2WOqKgm0saNG7F48WJYW1sDAHbt2oXu3bvjzp07Ro2FPepkDMykqNwKCgrEEHc3Nzc0bNgQgPawd85PJyIiqlwKCgoq1bJkFdWhQwd899134rG/v79Rh4mrVCqoVCqDHNvZ2RmRkZHicVBQkElUXFcoFPD398eePXvg4OAAoGjeeufOnXHz5k2jxcEedTIGrp1F5ZaYmCiWJClp/XSA89OJiIgqk7/++gtdunSBUqmEk5NThZej0uyRNGfDhw/Hnj17sHHjRjx8+BBBQUHYtGmTwc978eJFdOzYEUqlEs7OzgZbHsza2hr5+flITEyEv78/li1bZpDzlFf37t1x5MgRvP3220hJScG1a9fg4+ODQ4cO4YUXXjD4+dmjTsbARJ3KrbRCcqz4TkREVDl9//33yMjIAAD8+++/FT6eeqpcZfDtt99i7969SE9PR0xMDD799FOt70eGsGbNGjx69AiAfl6Psli7di2WLFliMlMb27Zti+PHj6NHjx64fPkybty4YbRknT3qZAxM1KncSkrUJUkSPep16tQxyt1MIiIiMg71SDqg6HPe1tZWp+OoE3RXV1e9xGUKnJ2dERISgkmTJgEAwsLCsGvXLoOe8++//xbb9evXh5WV4b7Sp6enQ6lUQqlU4pdffkGfPn0Mdq7yev7553Ho0CH4+PhoJevHjh0TUzMNgT3qZAxM1Knc1BXfrays4OXlBQC4deuWuLvYrl07gw3BIiIiIuNTrxkNALt370aHDh3KfYyCggJRBKyyJTfjxo3DvHnzkJycjN27d+PixYto2bKlwc6nno+tUChw69Yt2NjYGOxcP/30E/r16wcA+Prrr00qUQcAFxeXYsl67969cfjwYdSqVcsg52SPOhmDaYxdIbORkZGBpKQkAICHh4eodqo57J3z04mIiCoXzUTdkEmhubKxscHkyZPFY80ic4agTtRdXFwM/nr06dNHLLl74MABJCcnG/R8ulAn640aNQIAnD17FgMGDDDY+vaaPepOTk4GOQcRE3Uql1OnTomKr5rzr1jxnYiIqPLSTNR1HfZe2Y0aNUokzVu2bDFYlfScnByxHJkxphpaWFhgxIgR4vHWrVsNfk5duLi4YM+ePXB2dgYAHDx4EKNHjzbISgXqHnVHR0cxSoRI35ioU7moh70D2hXfWUiOiIio8mKP+rM5OTmhV69eAIDU1FStmj76pNmj7ebmZpBzPOn9998X27t37zbKOXXh7u6utb59TEwM5s6dq/fzqHvUK9sUDjItTNSpXEoqJKdSqRAXFweg6G6mi4uLLLERERGRYTBRLxv1XG6gaJi4IWiuF26s4r3u7u7iXMeOHUNubq5RzquLjh07YvPmzaJe0syZM/HTTz/p7fj5+fl4+PAhAM5PJ8Niok5lJkmSSNQdHR3RvHlzAMDVq1fFki2cn05ERFT5MFEvm+7du4ttzVGI+iRHoq5QKODj4wMAUCqVOHPmjFHOq6t+/fphzpw5AIq+vw4bNgwXLlzQy7Hv3bsnttmjTobERJ3K7MaNG2JOziuvvCLuVHJ+OhERUeXGRL1sGjVqJIqLxcfHG+Qct27dEtvGXA5XvdIPAJw/f95o59XVF198gcGDBwMAMjMz0b9/f2RmZlb4uKz4TsbCRJ3KrKRh7wArvhMREVV2TNTLRqFQoFWrVgCAtLQ0ZGVl6f0cmj3qxpqjDgCtW7cW25cuXTLaeXWlUCiwevVqeHp6AgAuX76Mjz/+uMLF5biGOhkLE3Uqs9ISdc0edW9vb6PGRERERIbHRL3sNHu5//nnH70fX46h7wDw/PPPi+3U1FSjnbciqlevjq1bt6JmzZoAgI0bN2Lt2rUVOiZ71MlYmKhTmWnOterQoQMAoKCgQAztaty4Me8sEhERVUKaibqVlZWMkZg+9fJgAPDgwQOdj3PmzBnMmzcP9+/f12pXJ+qOjo4iATWGevXqiW3NXmVT16xZM6xatUo89vf3x19//aXz8dijTsbCd1oqE83CIc2bNxcfQklJScjOzgbA+elERESVlTpRt7GxETVqqGTqpcGAoqJmuq47n5aWhsLCQqxcuRKXL1+GpaUlCgsLRS+9MYe9A9ojKTRv3JiD999/H3v37sWaNWuQk5OD9u3bi1oC5aU5z90cpgCQ+WKiTmWSkJAg3pQ5P52IiKhq0UzU6ek050Dro+f5+vXrWLlyJSZMmIDU1FQUFBQAMO6w9ydVdJ63seXk5ODkyZNaj1NSUip83F9//RX//e9/K3wcopIwUacy0Zyf3rFjR7GtOT+diToREVHlxES97B49eiS269WrB2tra52Oo1QqRaI/Y8YMDBo0SLb56YD271WrVi2jnruiPvvsMyQmJgIAbG1t4ezsXKGRIYWFhahVqxamT5+urxCJimGiTmXyrIrvCoVCa9kOIiIiqjyYqJddWlqa2D558mSFEuoRI0Zgw4YNePDgAb744gutddqNnajfvn1bbOs6bFwO//d//4fvvvsOQNG0hNOnT4vK/ESmjMXkqEzUheTs7OzQtm1bAEUf2mfPngUAuLu7w8HBQbb4iIiIyHCYqJfd9evXARQV3XN1da3QsRYuXCi+X61atQpHjhwR+4w9R/3atWtiu2nTpkY9t65Onz6NCRMmiMdLlixhkk5mg4k6PdPdu3fFh46Xl5f4kD5//rz44GYhOSIiosqLiXrZ5OXl4eLFiwCKiu9WtEJ+gwYNEBoaKh5v3bpVbBu7R/38+fNiu3nz5kY9ty7u3r2LAQMGQKlUAgAmTJiA0aNHyxwVUdkxUadn0iy+Udr66ZyfTkREVHkxUS+buLg45OfnAwC8vb31csxJkybhpZdeAqBdnM7YibrmMr2m/r0vLy8P7733HpKTkwEAnTp1wrfffitzVETlw0SdnknzjVmzkJxmxXf2qBMREVVeTNTL5tdffxXb3bp108sxrayssGTJEq02GxsbrXXNDU2pVIph9/Xq1UOTJk2Mdu7ykiQJY8eOxeHDhwEUjUrYtm0b/3bJ7DBRp2cqrZCcukfd0tISnp6exg6LiIiIjISJetns2LFDbPfs2VNvx33ttdcwfPhw8djOzs6o69kfPnwYWVlZAIDevXsb9dzlNWvWLGzYsAFA0b/TDz/8ABcXF5mjIio/Jur0VCqVSgx9r1+/vihckp2dLZa5aN26Nezt7WWLkYiIiAynsLAQKpUKABP1p0lISMC5c+cAAB06dNB7sbcZM2aI7UePHmmNeDS0TZs2ie2+ffsa7bzltXLlSsyZMwdA0YpEmzZt0hoNSmROmKjTU126dAkZGRkAioa9q++gnj17FoWFhQBMf54SERER6U7dmw4wUX8azeHpH3zwgd6Pry6KpjZp0iTxXcyQMjMzRRG7WrVqoU+fPgY/py42bNiA8ePHi8fffPMN+vfvL2NERBXDRJ2e6lnrpwOcn05ERFSZaSbq1tbWMkZiupKTkxEdHQ0AqFmzJoYNG6b3c9y8eVPrcXx8PFauXKn38zxp+fLlyM7OBgAMGTIE1apVM/g5y2vr1q0YNWoUJEkCAAQFBeGTTz6ROSqiiqnYmhFU6T1rfjrAHnUiIqLKTLMnd9++fXB1da3wHGXN6uWVQXBwsKj27u/vL9Y+16cnE3WgqFc9NDQUFhaG6XuTJAlpaWni8WeffWaQ81TE9u3bMXToUDE9Y+LEiVi4cKHMURFVHBN1eir1/CeFQqGVkKt71G1sbMSSIURERFS5PHjwQGvtaZVKhX///bfCx01JSanwMUzFkSNHRG+6o6MjgoKCDHIezUS9Z8+e2LdvH1QqFVJTUw1yvic5OTnB3d3dKOcqq5UrV2LChAkiSR87diwWL15s0sXuiMqKiTqVKjs7G+fPnwdQVDCuZs2aAIoKmFy6dAkA4OHhwflqREREldDRo0cxdOhQsRY1UHSDvm7dujofU52gu7q6Vjg+U5CZmYkxY8aIxyEhIXB2djbIuW7duiW2IyMj8eWXX+LEiROwsjLM13mVSoW0tDQxnHz69OkGOY8uJEnCf//7X8ycOVO0ffDBB1ixYoXBRhcQGRsTdSpVXFycKFKiOew9Pj5evGlzfjoREVHlUlhYiK+++gohISGip1Jt6NChWLt2rU7HLSgoEHPc69SpU+E45SZJEj766CNcvXoVQFHR3YkTJxrsfOoedYVCgRYtWmDnzp0GOxcAfPTRR2IO/NChQzF16lSDnq+scnNz4e/vj9WrV4u2KVOmYP78+UzSqVJhok6l0lz2Q3NpC85PJyIiqpz++ecfDB8+HIcPHxZt7dq1E5/9HEX3P6Ghodi8eTMAwMHBARs2bIClpaXBzqdO1F1cXAz+Ohw/fhyrVq0CUFQcLzw83KDnK6uUlBQMGDBALB0MAAsWLDCZmwhE+sTbTlQqVnwnIiKqOmJjY+Hh4SGSdAsLC4SGhiIqKko8h4l6ka+//hqzZ88GUNTDHR0djaZNmxrsfDk5Obhz5w4A4IUXXjDYeYCiKY7Dhw8XoydDQkLQsGFDg56zLH755Rd4e3uLJL1atWrYtGkTk3SqtJioU6nUPeo1atRAq1atRLv6rrq9vT1atmwpS2xERESkH7m5uQgICMA777yD+/fvAwDc3Nzw+++/Izg4WGut7qqeqEuShFmzZiEwMFC0hYeH49133zXoeTXrBLi5uRn0XP7+/rh+/TqAohGV/v7+Bj3fs2RlZWH8+PF4++23cfv2bQBFNyv++OMPDBkyRNbYiAyJQ9+pRCkpKaLgS/v27cVQrnv37ok375dfftlgBUyIiIjI8JKSkuDn54ezZ8+KtgEDBmDVqlVwdHQEoL2OelVO1B89eoSxY8di27Ztoi0kJEQraTcUzYrvhuxRj46Oxvr16wEUDXnftGmTqCtgbJIk4YcffkBQUBD+/vtv0d6rVy+sX7++UtQ5IHoa9qhTiUob9h4XFye2OT+diIjIPEmShNWrV8Pb21sk6XZ2dli+fDm2bdsmknSAiToAHDp0CB4eHlpJ+jfffINZs2YZ5fzGSNSPHTuGjz76SDxevnw5GjdubJBzPUtcXBx8fHwwcOBAkaRXr14dy5cvx88//8wknaoEdodSiTQLyXF+OhERUeWRkZGB8ePHY8uWLaKtdevW2Lx5M9q0aVPs+VU5Ub927RpmzpwpisYBRYXjNm7ciL59+xotDs2l2QyRqP/999/o37+/eK0nTJiAoUOH6v08TyNJEg4dOoQFCxZg7969Wvu6d++O7777zqB1AIhMDRN1KlFpPeqs+E5ERGS+Tpw4gSFDhuDGjRuibfz48YiMjIS9vX2JP1PVEnVJkvDnn38iKioK33//PQoKCsS+1157DdHR0UbvadbsUdf3HPX79++jb9++uHv3LgDgjTfewKJFi/R6jtJIkoTExET8+OOPiI6OxrVr17T2N23aFBEREejXrx8UCoVRYiIyFUzUqZiCggKRkLu5uWlV+lT3qDs4OKBZs2ayxEdERETlo1KpsGDBAgQHB4vEs3bt2li1ahUGDhz41J+tCol6ZmYm/vzzT+zbtw8//vgjrly5orXf2dkZc+fOxdixY2VZq9tQQ98zMzPRuXNnXLp0CQBQq1YtLF68GOnp6ZAkqdh/AMrV/uS+vLw83Lp1C1euXMGpU6dw/PhxrUJ5ao0aNcLUqVMxduxY2Nra6u33JTInTNSpmMTERGRnZwPQXj89NTVVFJhr166dLB9UREREVD6pqakYOXIk9u/fL9q6dOmCjRs3linpM0SifubMGbRt21YvxyqPwsJCXLhwAfb29mjUqBHy8/ORkZGBu3fviqRSk7OzMwICAjB58mQ4ODgYPV41daLu6OiImjVr6u24T/5OGRkZWiv9GFuPHj0wbtw4DBw4kAWLqcrjFUDFlGXYO+enExERmb5ffvkFo0aNEsOaFQoFZs6ciVmzZpU5EdJXoq6ZCGdnZ+P8+fM6H6uisrOzceHChRL3KRQKvPLKKxg/fjwGDx6MatWqGTk6bYWFhfjnn38A6HfYe0k3JozN3t4eXbp0ga+vL9555x2DLz1HZE6YqFMxnJ9ORERk3pRKJWbMmIHIyEjR5uLigo0bN6Jbt27lOpa+EnVzmWOsnqNua2uL6tWro3///rL27qamporpCvoc9q5QKBAUFISIiAg0btwYbdq0gUKhEP+pn/O0/8r7HEtLS7i6uqJx48Zo27Yt2rRpw55zolLwyqBi1BXfrays4OXlJdpZ8Z2IiMj0XblyBX5+foiPjxdtvr6+WLNmjU7LWhli6HuzZs0QHBysl2OV16NHj1CtWjVYWloiLy8PqampSExMxPHjx8UUPwA4fPgwDh8+jKZNmyI0NBR+fn6Van46AISHhyM8PFyvxyQi/WCiTloyMjKQlJQEAPDw8BDDvSRJEj3qderUMdgankRERKS79evXY+LEicjKygJQlFiHh4fD399f5x5tQyTq9evXx8iRI/VyLH2RJAlJSUn44YcfsG7dOlFg7dq1axg2bBiWLl2K5cuXl7iEnSEZemk2IjJNrAZGWk6dOiXmLGkOe79165aY39auXTuzGb5GRERUFWRmZmLEiBEYOXKkSNLd3d1x8uRJBAQEVOhzuypUfQeKhme3bNkSM2bMwMWLF7Fv3z74+PiI/ceOHYO3tzciIyONOr/bkEuzEZHpYqJOWtTD3gHtiu+aw945P52IiMh0xMXFwcvLCxs2bBBtY8aMQVxcHDw8PCp8/KqSqGtSKBTo0aMHDh48iD179qBFixYAiv4tgoKCMHjwYLFCjqEZcug7EZkuJuqkhRXfiYiIzINKpUJERAQ6deqEq1evAihabismJgarV69G9erV9XKeqpioa3rrrbdw7tw5TJkyRbRt3boVPXr0wP379w1+fibqRFUTE3USJEkSibqjoyOaN28u9rGQHBERkem4c+cO+vTpgylTpiA/Px9A0Q32M2fOwM/PT6/nquqJOgDY2tpi4cKFiI2NFeuYHz9+HG+++SYePnxo0HOr56jb2tqiXr16Bj0XEZkOJuok3LhxQ8xDf+WVV8R8NpVKhbi4OABFS7u4uLjIFiMREVFVt3//fnh4eGDPnj2i7fPPP8eRI0fQpEkTvZ+Pifr/+Pr64vfff0f9+vUBFE07eOedd6BUKg1yPkmSRI+6m5sbawQRVSFM1Ekobdj71atXkZGRAYDz04mIiOSSn5+P6dOn480330RaWhoAoEGDBvj1118xb948WFtbG+S8mom6ra2tQc5hTjw9PXHw4EHUrVsXAPD777/D39/fIOd68OCBKA7IYe9EVQsTdRI4P52IiMg03bhxA6+99hrmz58vKo736tULZ8+eRc+ePQ16bvaoF9eqVSvs2rVLLGO7atUqbNy4Ue/n4dJsRFUXE3USNCu+d+jQQWyz4jsREZF8Nm/eDE9PT3FD3draGhEREdi9e7dR5ixrJuqG6rU3Rx06dMB3330nHvv7+yM1NVWv5+DSbERVl5XcAZBpUCqVOHPmDACgefPmcHZ2Fvs0e9S9vb2NHhsREVFV9PjxY3zyySdYs2aNaGvWrBliYmKMOsJNM1F/8cUXUadOnQrPlU5PT69oWCZh+PDh2LNnDzZu3IiHDx8iKCgImzZt0tvxWfGdqOpiok4AgISEBPFBrDnsvaCgAPHx8QCAxo0bo06dOrLER0REVJUkJCTAz88Ply5dEm3Dhw/H0qVLRdVxY9FM1PPy8vDvv/9W+JgpKSkVPoap+Pbbb7F3716kp6cjJiYGn376qdZ3qYpgok5UdTFRJwDa89M7duwotpOSkpCdnQ2A89OJiIgMTZIkLF68GFOnThUJcvXq1bFs2TKMGDFClpg0E3UAqFOnjs5F5dQJuqura4XjMhXOzs4ICQnBpEmTAABhYWHYtWuXXo7NOepEVRcTdQJQeiE5zk8nIiIyjvT0dIwZMwY//fSTaPPy8sLmzZvRvHlz2eJ6MlHfu3cvvLy8yn2cgoICMce9so3QGzduHObNm4fk5GTs3r0bFy9eRMuWLSt8XHWPukKhqFQ3N4jo2VhMjgD8r5CcnZ0d2rZtK9o156czUSciIjKM3377DR4eHlpJemBgII4fPy5rkg4UT9Tt7OxkisR02djYYPLkyeKxZpG5ilAn6i4uLqy4T1TFMFEn3L17F9evXwdQdOde84NA3aOuUCh0untOREREpSsoKEBwcDC6d+8u5n7XrVsXP//8MyIiIkwiOWOiXjajRo0Sr9eWLVtQWFhYoePl5OTgzp07ADjsnagqYqJOOHnypNjWHPael5eHs2fPAgDc3d3h4OBg9NiIiIgqq5s3b6Jbt26YM2eOWBu9R48eOHv2LHr37i1zdP/DRL1snJyc0KtXLwBAamqq1rRCXSQnJ4ttLs1GVPUwUSet9dM1C8mdP39efDizkBwREZH+bN++HZ6enjh27BgAwMrKCvPmzcPevXvRsGFDmaPTxkS97Pr16ye2Dxw4UKFjseI7UdXGYnJUaiE5zk8nIiLSr5ycHEyePBkrVqwQbY0aNUJMTIzWzXJTwkS97Lp37y62NTtCdMFEnahqY496FadSqcTQ9/r162sNrdKs+M4edSIioopJTExE+/bttZL0wYMHIyEhwWSTdKB4oq7r0mxVQaNGjeDk5AQAiI+Pr9CxuDQbUdXGRL2Ku3TpEjIyMgAUDXtXKBRin7pH3dLSEp6ennKER0REZPYkScLy5cvRvn17/PXXXwAAe3t7rF69GjExMahVq5bMET6dZqJuZWUFS0tLGaMxbQqFAq1atQIApKWlISsrS+djafaoc446UdXDRL2KK23Ye3Z2NhITEwEArVu3hr29vdFjIyIiMncPHjzAe++9h48//hi5ubkAgLZt2+L06dMYM2aM1g1yU6WZqHPY+7Np9n7/888/Oh+HQ9+JqjYm6lVcaYn62bNnxbIinJ9ORERUfkePHoWHhwe2b98u2gICAnDixAm0bNlSxsjKh4l6+Tg7O4vtBw8e6HwcdaLu6OiImjVrVjguIjIvLCZXxakLnSgUCq2EnPPTiYiIdFNYWIivvvoKISEhUKlUAIqW7lq7dq1WVXBzwUS9fKpVqya2+/Xrp9OcfkmS8O+//wIAl8clqqKYqFdh2dnZOH/+PICi4e2ad2tZ8Z2IiKj8/vnnHwwfPhyHDx8Wba+//jo2bNiA5557TsbIdCNJEvLz88VjJurPJkmS2E5PT6/w8dQ3e4ioamGiXoXFxcWJ4e2aw96B//Wo29jY4KWXXjJ6bEREROYmNjYWo0ePxv379wEAFhYWmD17NmbMmGG2Bdg0k3SAiXpZPHr0SGzXq1cP1tbWOh1HkiTY29tj7ty5+gqNiMwIE/UqTHN9T81lYR49eoRLly4BADw8PGBjY2P02IiIiMxFbm4upk6diqioKNHm5uaGTZs2oUuXLjJGVnFcQ7380tLSxPbJkydZCI6IdMJEvQorrZBcfHy8GLbF+elERESlS0pKgp+fH86ePSvaBgwYgFWrVsHR0VHGyPSDiXr5Xb9+HUDRUnaurq4yR0NE5opV36swdY96jRo1xJqfAOenExERPYskSVi9ejW8vb1Fkm5nZ4fly5dj27ZtlSJJB4on6roURqtK8vLycPHiRQBA8+bNYWXFPjEi0g3fPaqolJQUpKSkAChKxjXnzrHiOxERUekyMjIwfvx4bNmyRbS1bt0amzdvRps2bWSMTP/Yo14+cXFxYl6/t7e3zNEQkTljj3oVVdqwd+B/Per29vZmtc4rERGRoZ04cQIvv/yyVpI+fvx4nDx5stIl6QAT9fL69ddfxXa3bt3kC4SIzB4T9SpKs5CcZqJ+7949Mbfq5Zdf5pAtIiIiFC2RNW/ePLz66qu4ceMGAKB27drYtm0bli9fDnt7e5kjNAwm6uWzY8cOsd2zZ08ZIyEic8csrIoqrUc9Li5ObHN+OhEREZCamoqRI0di//79oq1Lly7YuHFjpa/ozUS97BISEnDu3DkAQIcOHeDm5iZzRERkztijXgUVFBSI4e1ubm5o2LCh2Mf56URERP/zyy+/wMPDQyTpCoUCwcHB+O233yp9kg4ASqVS6zET9dItWbJEbH/wwQfyBUJElQJ71KugxMREZGdnA9BePx1gxXciIiKgKEGdMWMGIiMjRZuLiws2btxYpeYes+p72SQnJyM6OhoAULNmTQwbNkzmiIjI3DFRr4KeVkhO3aPu4OCAZs2aGTUuIiIiU3DlyhX4+fkhPj5etPn6+mLNmjWoU6eOjJEZ35OJ+rfffouYmBhYWFRsUGZ6enqFft7UBAcHi2rv/v7+cHBwkDkiIjJ3TNSroNIS9dTUVLFkW7t27Sr8IUxERGRu1q9fj4kTJyIrKwsAYGNjg/DwcPj7+0OhUMgcnXEVFhZi165dxdpSU1MrfGz1943K4MiRI6I33dHREUFBQTJHRESVARP1Kkhd8d3KygpeXl6iXXPYO+enExFRVZKZmYmJEydiw4YNos3d3R1btmyBh4eHjJHJ48CBAwgMDBTF0dTs7e3h6Oio83HVCbqrq2uF4jMVmZmZGDNmjHgcEhICZ2dnGSMiosqCiXoVk5GRgaSkJACAh4cHqlWrJvZxfjoREVVFcXFx8PPzw9WrV0XbmDFjsGjRIlSvXl3GyIwvKSkJU6dOLdaTrjZv3jwEBATodOyCggJYW1sDQKWYQiBJEj766CPxd9OxY0dMnDhR5qiIqLLg2OYq5tSpU5AkCUDp89MB9qgTEVHlp1KpEBERgU6dOolky8HBATExMVi9enWVStLT09MREBCANm3aaCXpjRo10noeq77/T2hoKDZv3gyg6O9mw4YNsLS0lDkqIqos2KNexaiHvQPaFd8lSRI96nXq1KkSS84QEVHVdefOHYwaNQp79uwRba+88go2bdqEJk2ayBiZcSmVSkRFRSEsLAwZGRmi3dXVFXPnzkVeXh7GjRsn2pmoF/n6668xe/ZsAEVL9kVHR6Np06byBkVElQp71KuY0grJ3bp1C3fv3gVQ1Jte1QrmEBFR1bF//354eHhoJemff/45jhw5UmWSdEmSsH37drRq1QpTpkwRSbq9vT1CQ0Nx+fJljBgxAgUFBVo/V9UTdUmSMGvWLAQGBoq28PBwvPvuu/IFRUSVEnvUqxBJkkSi7ujoiObNm4t9msPeOT+diIgqo/z8fAQHB2PBggViGliDBg2wbt069OzZU+bojOfUqVMIDAzE0aNHRZtCocDo0aMRFhYGFxcX0f7k8mxVOVF/9OgRxo4di23btom2kJAQraSdiEhfmKhXITdu3BC95q+88opWrzkrvhMRUWV248YNDBkyRGtkWa9evRAdHY169erJGJnxJCcnY8aMGVqV7QHAx8cHkZGR8PT0LPYzTNSLHDp0CGPGjMHff/8t2r755ht8+umn8gVFRJUah75XIaUNewdYSI6IiCqvzZs3w9PTU3wOWltbIyIiArt3764SSXpWVhZmzZoFd3d3rSS9RYsWiI2NxYEDB0pM0gEm6teuXcOQIUPQvXt3kaQ7ODjgp59+YpJORAbFHvUqpLREXaVSIS4uDgDg4uKiNeSNiIjIXD1+/BiffPIJ1qxZI9qaNWuGmJiYKnFTurCwENHR0fjyyy+RlpYm2p2cnDB79mxMmDBBLJdWmicTdVtbW4PEakokScKff/6JqKgofP/991rz9F977TVER0ejcePGMkZIRFUBE/UqRLPie4cOHcT21atXRREZzk8nIqLKICEhAX5+frh06ZJoGz58OJYuXYqaNWvKGJlxHDhwAIGBgTh37pxos7a2RkBAAGbOnAlHR8cyHaeq9KhnZmbizz//xL59+/Djjz/iypUrWvudnZ0xd+5cjB07FhYWHJBKRIbHRL2KUCqVOHPmDACgefPmcHZ2Fvs4P52IiCoLSZKwePFiTJ06VSSZ1atXx7JlyzBixAiZozO8pKQkTJ06VWstdAAYMGAA5s+fj2bNmpXreIZK1K9duwZ/f3+9HKs8lEolVq1ahQYNGqB79+64ffs2rl27hps3b4oCg5qcnZ0REBCAyZMnw8HBwejxElHVxUS9ikhISBAftk+bn84edSIiMlfp6ekYM2YMfvrpJ9Hm5eWFzZs3a610Uhmlp6cjJCQEy5YtQ2FhoWj39vZGZGQkunbtqtNxDZWop6WlYcmSJXo5lq7n37RpU4n7LCws0LVrV4waNQqDBw9GtWrVjBwdERET9SpDc356x44dtfZp9qh7e3sbLSYiIiJ9+e233zBs2DD8+++/oi0wMBBz586FjY2NjJEZllKpRFRUFMLCwsQ0NgBwdXXF3LlzMWzYsAoN1dZnom5lZYV33nkHO3fu1PkYhuDg4ICWLVvC29sbXbp0wZtvvok6derIHRYRVXFM1KuI0grJFRQUID4+HgDQuHFjfjAREZFZKSgoQEhICL766isxdLlu3bqIjo5G7969ZY7OcCRJwo4dOzBt2jRcv35dtNvb22P69OkICgqCvb19hc+j7x71H374AYmJiVAqlRU6TkU8ePAAtWvXRu3atVGvXj04ODhoLVlLRGQKmKhXEepCcnZ2dmjbtq1oT0pKQnZ2NgDOTyciIvNy8+ZNDBs2DMeOHRNtPXr0wLp169CwYUMZIzOsU6dOITAwEEePHhVtCoUCo0ePRlhYmF5Xb9F3oq5QKPDSSy9V6BhERFUBy1ZWAXfv3hV32728vLSGAHJ+OhERmaPt27fD09NTJOlWVlaYN28e9u7dW2mT9OTkZIwYMQIdOnTQStJ9fHwQHx+P1atX632J1ScT9Wct50ZERPrBHvUq4OTJk2L7yUJymvPTmagTEZGpy8nJweTJk7FixQrR1qhRI8TExBSrwVJZZGVlYcGCBQgPD0dOTo5ob9GiBcLDw9G3b1+DDd3WTNRtbW05RJyIyEiYqFcBmuunP/klRt2jrlAo4OXlZdS4iIiIyiMxMRF+fn7466+/RNvgwYOxYsUK1KpVS8bIDKOwsBDR0dH48ssvkZaWJtqdnJwwe/ZsTJgwweA93E8m6kREZBwc+l4FlFZILi8vD2fPngUAuLu7c31QIiIySZIkYfny5Wjfvr1I0u3t7bF69WrExMRUyiT9wIED8PLywtixY0WSbm1tjcDAQFy9ehUBAQFGGYaumajra2k2IiJ6NvaoV3IqlUoMfa9fvz7c3NzEvvPnz4sPYBaSIyIiU/TgwQN8+OGH2L59u2hr27YtNm/ejJYtW8oYmWEkJSVh6tSp2LVrl1b7gAEDMH/+fDRr1syo8Wgm6lxPnIjIeNijXsldunRJrKvasWNHrbllnJ9ORESm7OjRo/Dw8NBK0gMCAnDixIlKl6Snp6cjICAAbdq00UrSvb29cfjwYWzfvt3oSTrAHnUiIrkwUa/kShv2DmhXfGePOhERmYrCwkKEhobi9ddfR3JyMoCiedk7d+7EokWLKlXCqFQqERERgWbNmiEqKgqFhYUAAFdXV6xbtw4nT55E165dZYuPPepERPLg0PdK7mmJurpH3dLSEp6ensYMi4iIqET//PMPhg8fjsOHD4u2119/HRs2bMBzzz0nY2T6JUkSduzYgWnTpoklVIGiuffTp09HUFAQ7O3tZYywCHvUiYjkwR71Sk5d8V2hUGgNb8/OzkZiYiIAoHXr1ibxZYCIiKq22NhYeHh4iCTdwsICoaGhOHDgQKVK0k+dOoWuXbti0KBBIklXKBQYM2YMrly5guDgYJP5XFYqlWKbiToRkfGwR70Sy87Oxvnz5wEUJeM1a9YU+86ePSuG13F+OhERySk3NxdTp05FVFSUaHNzc8OmTZvQpUsXGSPTr+TkZMyYMQMbNmzQavfx8UFkZKRJjm7TTNS5PBsRkfEwUa/E4uLiRDLO+elERGSKkpKS4OfnJ5YLBYoqnK9atQqOjo4yRqY/WVlZWLBgAcLDw5GTkyPaW7RogfDwcPTt21er2Ksp4dB3IiJ5cOh7JaYe9g4UVXzXxIrvREQkJ0mSsHr1anh7e4sk3c7ODsuXL8e2bdsqRZJeWFiINWvWoHnz5ggLCxNJupOTExYtWoTExET4+vqabJIOMFEnIpILe9QrsbJUfLexscFLL71k1LiIiKhqy8jIwPjx47FlyxbR1rp1a2zevBlt2rSRMTL9OXDgAAIDA3Hu3DnRZm1tjYCAAMycOdNsbkQwUScikgcT9UpM3aNeo0YNtGrVSrQ/evQIly5dAgB4eHjAxsZGlviIiKjqOXHiBIYMGYIbN26ItvHjxyMyMtJkCqhVRFJSEqZOnaq1FjpQNJx//vz5sqyFXhH5+flim4k6EZHxcOh7JZWSkoKUlBQARUPbLS0txb74+HhIkgSA89OJiMg4VCoV5s2bh1dffVUk6bVr18a2bduwfPlys0/S09PTERAQgDZt2mgl6d7e3jh8+DC2b99udkk6wESdiEgu7FGvpMqyfjrA+elERGR4qampGDlyJPbv3y/aunTpgo0bN+KFF16QMbKKUyqViIqKQlhYGDIyMkS7q6sr5s6di2HDhsHCwjz7RQoLC6FSqcRjJupERMbDRL2S0iwkx4rvREQkl19++QWjRo3C3bt3ARStFz5z5kzMmjULVlbm+zVEkiTs2LED06ZNE2uhA4C9vT2mT5+OoKAgsx8loDk/HWCiTkRkTOb7CUlPVZYedXt7e7Rs2dKocRERUdWgVCoxY8YMREZGijYXFxds3LgR3bp1ky8wPTh16hQCAwNx9OhR0aZQKDB69GiEhYXBxcVFxuj058lEneuoExEZDxP1SqigoEAk425ubmjYsKHYd+/ePXHn/+WXXzbr3gwiIjJNV65cgZ+fH+Lj40Wbr68v1qxZgzp16sgYWcUkJydjxowZ2LBhg1a7j48PIiMj4enpKU9gBsIedSIi+ZjnpCl6qsTERGRnZwMovn56XFyc2Ob8dCIi0rf169fDy8tLJOk2NjZYtGgRdu7cabZJelZWFmbNmgV3d3etJL1FixaIjY3FgQMHKl2SDjBRJyKSE7tTK6GyrJ8OcH46ERHpT2ZmJiZOnKiVyLq7u2PLli3w8PCQMTLdFRYWIjo6Gl9++SXS0tJEu5OTE2bPno0JEybA2tpaxggNi4k6EZF8mKhXQqz4TkRExhQXFwc/Pz9cvXpVtI0ZMwaLFi1C9erVZYxMdwcOHEBgYCDOnTsn2qytrREQEICZM2fC0dFRxuiMg4k6EZF8OPS9ElJXfLeysoKXl5fWPnWPuoODg1mu50pERKZDpVIhIiICnTp1Ekm6g4MDYmJisHr1arNM0pOSkuDr64sePXpoJekDBgzAhQsXEBERUSWSdICJOhGRnNijXslkZGQgKSkJAODh4YFq1aqJfampqUhJSQFQNOzdXNd1JSIi+d25cwejRo3Cnj17RNsrr7yCTZs2oUmTJjJGppv09HSEhIRg2bJlKCwsFO3e3t6IjIxE165dZYxOHkqlUusxE3UiIuNhplbJnDp1CpIkAXj6sHfOTyciIl3t378fHh4eWkn6559/jiNHjphdkq5UKhEREYFmzZohKipKJOmurq5Yt24dTp48WSWTdIA96kREcmKPeiWjHvYOFK/4zvnpRERUEfn5+QgODsaCBQvETeEGDRpg3bp16Nmzp8zRlY8kSdixYwemTZsmli0FAHt7e0yfPh1BQUGwt7eXMUL5cR11IiL5MFGvZFjxnYiIDOHGjRsYMmSI1udMr169EB0djXr16skYWfmdOnUKgYGBOHr0qGhTKBQYPXo0wsLC4OLiImN0poM96kRE8uHQ90pEkiTxBcrR0RHNmzfX2qfuUa9Tpw5eeOEFWWIkIiLzs3nzZnh6eorPGGtra0RERGD37t1mlaQnJydjxIgR6NChg1aS7uPjg/j4eKxevZpJugYm6kRE8mGPeiVy48YN3L17F0BRb7pCoRD7bt26Jfa1a9dOax8REVFJHj9+jE8++QRr1qwRbc2aNUNMTIxZjczKysrCggULEB4ejpycHNHeokULhIeHo2/fvvxcLAETdSIi+TBRr0TKOuyd89OJiOhZEhIS4Ofnh0uXLom24cOHY+nSpahZs6aMkZVdYWEhoqOj8eWXXyItLU20Ozk5Yfbs2ZgwYQKsra1ljNC0MVEnIpIPE/VK5GmJOiu+ExFRWUiShMWLF2Pq1KkiUatevTqWLVuGESNGyBxd2R04cACBgYFaa6FbW1sjICAAM2fOrDJroVcEE3UiIvkwUa9ENCu+d+jQQWsfC8kREdGzpKenY8yYMfjpp59Em5eXFzZv3qxV98SUJSUlYerUqdi1a5dW+4ABAzB//nw0a9ZMpsjMDxN1IiL5sJhcJaFUKnHmzBkAQPPmzeHs7Cz2qVQqxMXFAQBcXFxYKIeIiIr57bff4OHhoZWkBwYG4vjx42aRpKenpyMgIABt2rTRStK9vb1x+PBhbN++nUl6OXF5NiIi+bBHvZJISEgQH6hPDnu/evUqMjIyAHB+OhERaSsoKEBISAi++uorsTZ63bp1ER0djd69e8sc3bMplUpERUUhLCxMfNYBgKurK+bOnYthw4bBwoL9ErrQTNQtLCxgaWkpYzRERFULE/VKQnN+eseOHbX2cX46ERGV5ObNmxg2bBiOHTsm2nr06IF169ahYcOGMkb2bJIkYceOHZg2bRquX78u2u3t7TF9+nQEBQXB3t5exgjNn2aibmNjI2MkRERVD28xVxKs+E5EROWxfft2eHp6iiTdysoK8+bNw969e00+ST916hS6du2KQYMGiSRdoVBgzJgxuHLlCoKDg5mk6wETdSIi+bBHvZJQF5Kzs7ND27ZttfZp9qh7e3sbNS4iIjItOTk5mDx5MlasWCHaGjVqhJiYmGIjskxNcnIyZsyYgQ0bNmi1+/j4IDIyEp6envIEVkkxUScikg8T9Urg7t27okfBy8tL68O0oKAA8fHxAIDGjRujTp06ssRIRETyS0xMhJ+fH/766y/RNnjwYKxYsQK1atWSMbKny8rKwoIFCxAeHo6cnBzR3qJFC4SHh6Nv375QKBQyRlg5aSbqLCRHRGRcHPpeCZw8eVJsPznsPSkpCdnZ2QA4P52IqKqSJAnLly9H+/btRZJub2+P1atXIyYmxmST9MLCQqxZswbNmzdHWFiYSNKdnJywaNEiJCYmwtfXl0m6gTBRJyKSD3vUKwHN9dOfHLbI+elERFXbgwcP8OGHH2L79u2irW3btti8eTNatmwpY2RPd+DAAQQGBuLcuXOizdraGgEBAZg5cyYcHR1ljK5qYKJORCQf9qhXAk8rJKc5P52JOhFR1XL06FF4eHhoJekBAQE4ceKEySbpSUlJ8PX1RY8ePbSS9AEDBuDChQuIiIhgkm4kubm5YtvOzk7GSIiIqh4m6mZOpVKJoe/169eHm5ub1n51j7pCoYCXl5fR4yMiIuMrLCxEaGgoXn/9dSQnJwMoGi6+c+dOLFq0yCSTrvT0dAQEBKBNmzbYtWuXaPf29sbhw4exfft2NGvWTMYIqx4m6kRE8uHQdzN36dIlZGRkACga9q45Ty8vLw9nz54FALi7u8PBwUGWGImIyHj++ecfDB8+HIcPHxZtr7/+OjZs2IDnnntOxshKplQqERUVhbCwMPF5BgCurq6YO3cuhg0bBgsL9ivIQbNwHxN1IiLj4iefmXvasPfz58+L+WUsJEdEVPnFxsbCw8NDJOkWFhYIDQ3FgQMHTC5JlyQJ27dvR6tWrTBlyhSRpNvb2yM0NBSXL1/GiBEjmKTLSLNHvVq1ajJGQkRU9bBH3cxxfjoREeXm5mLq1KmIiooSbW5ubti0aRO6dOkiY2QlO3XqFAIDA3H06FHRplAoMHr0aISFhcHFxUXG6EiNiToRkXyYqJs5dcV3hUJRLBnXrPjOHnUioqfLzMxEx44d4eXlhXXr1pnNkl9JSUnw8/MTU52AosJrq1atMrmia8nJyZgxYwY2bNig1e7j44PIyEh4enrKExiVSKlUim17e3u9HDMhIQHr16/XOrYcrKysYG9vj3r16sHNzQ0tW7ZEixYtYGlpKWtcVLXx+iBNTNTNWHZ2Ns6fPw8AaN26NWrWrKm1X92jbmlpyS8/RETP4OvriwsXLuDChQtISEjAkSNHULt2bbnDKpUkSVizZg0++eQTZGdnAyiaR/zNN9/go48+MqkbDVlZWViwYAHCw8O15j23aNEC4eHh6Nu3r0nFS0X0nahLkoR3330XN2/erPCxDKFGjRro1KkTevfujf79+6NRo0Zyh0RVCK+P0s2ePRshISHicU5Ojk51M/bs2YPevXuLxytXrsS4ceP0EqMhcOKXGYuLi0NhYSGA4sPes7OzkZiYCKAoidfXnXAiosrKyup/964TExPh7e2NhIQE+QJ6ioyMDAwZMgTjxo0TSXrr1q1x6tQpjB8/3mSS3sLCQqxZswbNmzdHWFiYSNKdnJywaNEiJCYmwtfX12TiJW36TtQLCwtNNgkBim4o7du3D4GBgWjcuDG6deuGrVu3oqCgQO7QqAqoitfHwIEDYWFhgYsXL5a4f9y4cbCwsMAPP/wAAFi/fj3Wr18PGxsbrbhmz54NX19fNGzYEAqFAh988EGJx/Pw8MD69esxY8YMnWM2JvaomzH1sHegqOK7prNnz4oknvPTiYierWPHjjhw4IB4fP36dXTs2BFLlizB2LFjZYxM24kTJzBkyBDcuHFDtI0fPx6RkZEmdVP2wIEDCAwM1FoL3draGgEBAZg5c6bJDcun4tQFaQH9DX1Xa9u2LVavXq3XY5aVJEkoKCjA48ePkZaWhuvXr+P8+fM4fvw4UlJSxPMOHz6Mw4cPo2nTpggNDYWfnx+LG5JRVJXr44svvsCOHTvwzTffYMWKFVr7Fi5ciNWrV2Pu3LnIzc3FuXPnMHz48GLHSE9PR0hICBo2bIh27dppLe/5pIYNG2L48OH47bff8N///rdcscqBiboZe1ohOc5PJyKqOKVSiXHjxuHYsWNYsmSJrAW1VCoVFixYgODgYNGDUbt2baxatQoDBw6ULa4nJSUlYerUqcW+LA0YMADz58/nWuhmRDNRt7W11euxa9asaXLfTyRJQlJSEn744QesW7cOly5dAgBcu3YNw4YNw9KlS7F8+XK0adNG5kipsqsq10e7du3QvXt3rF+/Hv/973/h7OwMoGgFk+nTp+ODDz7A9OnTMXv27FKP0bBhQ/zzzz9wdXVFQUEBrK2tK/R7mhLeFjRj6h71GjVqoFWrVlr7WPGdiEh3u3btwscffywer127Fp06dcLVq1dliSc1NRVvvfUWvvjiC5Gkd+nSBQkJCSaTpKenpyMgIABt2rTRStK9vb1x+PBhbN++nUm6mcnPzxfbVWEddYVCgZYtW2LGjBm4ePEi9u3bBx8fH7H/2LFj8Pb2RmRkJCRJkjFSIuMz1PUxffp05OTkYPny5QCKCuoNHToUr776arFe9pLY2trC1dW1/L+QGWCibqZSUlLE8JP27dsXq8Ko7lG3sbHBSy+9ZPT4iIjMma2tLZYuXYoNGzaIIb9nz56Ft7c3fvzxR6PG8ssvv8DDwwP79+8HUPRlKTg4GL/99hteeOEFo8ZSEqVSiYiICDRr1gxRUVFi2pWrqyvWrVuHkydPomvXrjJHSbqoaom6JoVCgR49euDgwYPYs2cPWrRoAaBolEFQUBAGDx4s6kMQVTX6vD569uwJLy8vLFmyBDdv3oSvry8aNGiAHTt2aM1Fr4qYqJuppw17f/TokRiO4uHhUeX/yImIdDVs2DCcOHEC7u7uAIreX/v3749p06YZvMCUUqlEUFAQ3n77bdy9excA4OLigoMHDyI0NFSr+J0cJEnC9u3b0apVK0yZMgUZGRkAiuYyh4aG4vLlyxgxYgTn9Jqxqpyoa3rrrbdw7tw5TJkyRbRt3boVPXr0wP3792WMjEh++rg+Pv/8c6SmpsLb2xtZWVnYtWuXGAZflfHT00xpFpJ7MlGPj48XQ05MbX4LEZG5adOmDU6dOoX33ntPtC1cuBBvvPEGUlNTDXLOK1euoHPnzoiMjBRtvr6+OHv2LLp162aQc5bHqVOn0LVrVwwaNAjXr18HUNTDMmbMGFy5cgXBwcEmVdiOdMNE/X9sbW2xcOFCxMbGiuVwjx8/jjfffBMPHz6UNzgimVX0+hg0aBCaNGmCe/fuYevWrXjxxRcNHLF5YKJupp7Wo8756URE+lWzZk1s2bIF33zzjejJ/v333/Hyyy/j8OHDej3X+vXr4eXlhfj4eABFU5gWLVqEnTt3ok6dOno9V3klJydjxIgR6NChA44ePSrafXx8EB8fj9WrV8PFxUXGCEmfNEeNVPVEXc3X1xe///476tevD6Boqdx33nlHayk7oqpK1+vDwsIClpaWaNKkCXr06GGMUM0CE3UzVFBQIJJxNzc3NGzYUGs/K74TEemfQqHAp59+it9//10Urrl9+za6d++O+fPnV7i4VGZmJkaMGIGRI0ciKysLAODu7o6TJ08iICBA1rXGs7KyMGvWLLi7u2PDhg2ivUWLFoiNjcWBAwfg6ekpW3xkGOp6AwATdU2enp44ePAg6tatC6Dopp2/v7/MURGZBl2uj6ysLFy7do2fI09gom6GEhMTRYGGJ9dPB/7Xo25vb4+WLVsaNTYiosquU6dOOHPmjLjrr1KpMH36dLz77rs6D4GNi4uDl5eXVhI8ZswYxMXFwcPDQx9h66SwsBBr1qxB8+bNERYWhpycHACAk5MTFi1ahMTERPj6+sp6E4EMhz3qpWvVqhV27dollmxctWoVNm7cKHNURKahvNfH2bNnoVKpmKg/gYm6GXrasPd79+6J+YIvv/yy7MWGiIgqo7p162LPnj0IDg4WbbGxsfD29kZCQkKZj6NSqRAREaG19JuDgwNiYmKwevVqVK9eXd+hl9mBAwfg5eWFsWPHIi0tDQBgbW2NwMBAXL16FQEBAZVqvVrSJkkSVCqVeGxra8sq50/o0KEDvvvuO/HY39/fYHUryPSpVCqta6aqK8/1of7cfPnll40RmtlgFmeGnpaox8XFiW3OTyciMhxLS0uEhoaiU6dOGD58OO7fv4/r16+jY8eOWLJkCcaOHfvUn79z5w5GjRqFPXv2iLZXXnkFmzZtQpMmTQwdfqmSkpIwdepUrbXQAWDAgAGYP38+10KvJAoKCnD//n3cvXsXd+/eRXp6utb/b9++rfX8Hj16ID8/H3Z2dnBycqrwKIr09PQK/bypGD58OPbs2YONGzfi4cOHCAoKwqZNm+QOi4zs4sWL6NixI5RKJZydnXl9/H9lvT7OnDkDADr3qEdFReHhw4fiRsm5c+cwZ84cAEC/fv3Qtm1b3X4BmTFRN0Pqiu9WVlbw8vLS2sf56URExtW7d2/Ex8dj0KBBOH36NJRKJcaNG4djx45hyZIlYuifpv3792PEiBGipxooWp4mLCxMtl7q9PR0hISEYNmyZVpzk729vREZGcm10E3c48ePRZJdUuL9ZNuDBw/KVVdBXQE+NzcX//77b4XjTUlJqfAxTMW3336LvXv3Ij09HTExMfj000+LdaRQ5bZmzRo8evQIAHh9PKEs10dCQgKcnZ3x3HPP6XSO8PBw3Lx5Uzw+c+aMSP6fe+45JupkHBkZGUhKSgJQtEb6k18AWfGdiMj4XnjhBRw9ehSTJ0/GsmXLAABr165FfHw8tm3bJnqh8/PzERwcjAULFogkqUGDBli3bh169uwpS+xKpRJRUVEICwsTa6EDgKurK+bOnYthw4ZxLXQjU6lUorf7yYS7tMRbXT/AUF588UVYW1vj9u3bFbqZpE5A1AUZKwNnZ2eEhIRg0qRJAICwsLBiI1Kocvv777/Fdv369XWeelpVrw/N/OVp1CMNnlwBRfPf/2ny8/ORkZGh9Vlnypiom5lTp06JL3cl3a1V96g7ODhweCIRkRHZ2tpi6dKl6NKlCz766CNkZ2fj7Nmz8Pb2RnR0NDw8PDBkyBCt6Uu9evVCdHQ06tWrZ/R4JUnCjh07MG3aNFHbBCgqRDp9+nQEBQVxLXQ9yc3NLbWnu6TE+/79+wab61qrVi3UqVMHdevWLfZ/zW1JktCpUyfxc3v37oWbm1uFzl1QUCCSfLmXGtS3cePGYd68eUhOTsbu3btx8eJFFvStQtS9uQqFArdu3YKNjU25j8Hr49nUleRzcnJ0KnB54MAB9O7du9w/Jxcm6mZGPewdKF7xPTU1VdyJa9euHXtAiIhkMGzYMHh6emLgwIG4dOkSHj16hP79+8PGxgZ5eXkAioqyzZs3D5999pks79WnTp1CYGCg1lroCoUCo0ePRlhYGNdCfwqVSoWHDx+Wuaf77t27ePz4sUFisbKyQp06dZ6acGv+v06dOmVOIG7duqX1mFXfn87GxgaTJ09GYGAgAOC7777D119/LXNUZCzqRN3FxUWnJL2yq+j1MXLkSLz66qtax9NF+/btsW/fPvG4VatWOh3HWJiom5mnFZLTHDbC+elERPJp3bo1Tp06hVGjRuGHH34AAJGkN27cGN9//70s79PJycmYMWOG1jJwAODj44PIyMgquTROXl5euYaYp6ena83h16caNWo8s6db8/+1a9c22NJ46r9XNSbqzzZq1ChMnz4deXl52LJlC8LDw2FpaSl3WGRgOTk5uHPnDoCiaVBUsopcH02aNNFLkVVnZ2extKo5YKJuRiRJEom6o6MjmjdvrrWf89OJiEzHtWvXcOHChWLtWVlZZe5hzc/Px86dOxEfH4/s7GzUqlULb731Fjp16lSuBC0rKwsLFixAeHi41lzmFi1aIDw8HH379q0Ua6FLkoRHjx6VK/FWF4DSNwsLCzg7O5cr8TalZJiJevk5OTmhV69eiI2NRWpqKk6cOIHOnTsDAK5fv47vv/8ed+7cgZWVFZo0aQI/Pz/Url1b3qCpwpKTk8V2RaeHVGa8PsqPiboZuXHjBu7evQugqDf9yS9VrPhORCQ/SZKwePFiTJ06VSQ71apVg52dHR48eIC7d++ie/fu+O9//4tp06aVmCAXFBRg/vz5WLJkSbF1Z0NDQ+Hp6YkZM2bgvffee2oshYWFiI6OxpdffqlVYd7JyQmzZ8/GhAkTTHot9Pz8fNy7d6/MQ8zT09NFdXJ9s7e3L3PCXbduXTg6Opr1FLQnE3VT/jsxJf369UNsbCyAovmwdnZ2CA4Oxi+//FKsyn5QUBCGDRuGr776Ssy9JfOjWW2cPepPx+ujfJiom5GnDXuXJEn0qNepU4dvFEREMkhPT8eYMWPw008/iTYvLy9s3rwZtWvXxtChQ7F//36oVCpMnz4df/zxB6Kjo7V6DZRKJQYMGICff/651PMkJCTg/fffR1hYGGbOnFnicw4cOIDAwECcO3dOtFlbWyMgIAAzZ86Eo6NjxX/hcpAkCVlZWeWa2/3w4UODxKJQKODk5FSmxFu9XdUK6ymVSrFtaWlZKUZcGEP37t3F9k8//YR58+YhOzu7xOdmZ2dj5cqVOHjwIA4cOMDvbmaKiXrZ6ev6yMvLw7Fjx5CRkYHnnnsO3t7elfI9iom6GXlaon7r1i3R296uXbtK+cdKRGTKfvvtNwwbNkxrDd3AwEDMnTtXFL7Zs2cPQkJCEBYWBgCIjY2Ft7c3tm/fLuaHf/jhhyJJVygUePfddzFixAg0aNAAf/31F7777jsxgio4OBguLi4YM2aMOGdSUhKmTp1abPmbAQMGYP78+XpbEaSwsBD37t0rV+Ktmfzpk62tbZmHmKt7u3VdPqmq0OxR579V2TVq1AhOTk64f/++1kjH559/HhMmTEDXrl2Rk5ODnTt34v/+7//w+PFjXLt2Db1798bJkydRo0YNGaMnXWgWXmSi/nQVvT6qV6+Ob775BgsWLNAaJfbSSy9h4cKFeOutt+T4tQyG77xmRLPie4cOHbT2af6xc346EZHxFBQUICQkBF999ZUYule3bl1ER0cXWwbG0tISoaGh6NSpE4YPH4779+/j+vXr6NixI5YsWYJXXnkF69evB1A0XP7nn39Gt27dxM936tQJ48aNw4IFC/D5558DAGbOnIkRI0YgIyMDISEhWLZsmVaxM29vb0RGRqJr165P/T2ys7PLNcT8/v37xYYq6kvt2rXLPMS8bt26qF69Om9Q6xkTdd0oFAq0atVKa0WF/v37Y9OmTVrz/Hv27InPP/8cPXr0wOXLl3Hx4kWsW7cOEydOlCNsqgDNHnXOUX+6il4fN27cQHh4eLHjnj9/Hn369MH27dvxzjvvGOV3MQa+85oJpVKJM2fOAACaN28OZ2dnrf2s+E5EZHw3b97EsGHDcOzYMdHWo0cPrFu3Dg0bNiz153r37o34+HgMGjQIp0+fhlKpxLhx4/Diiy+K53z11VdaSbqmadOm4ejRo/jpp5+QmpqKsWPHIjY2FhkZGeI5DRs2xKeffopOnTrh3r17WLly5VMT79KGH1aUtbV1uYaYOzs7cz60CdBM1Pl6lI/mfFpnZ2ds2LChxGJ8zz//PGJiYuDt7Q0AWLJkCT7++GPedDIzHPpePrpeHxEREbh+/Xqpxy0sLMT48ePRu3fvSrNEHhN1M5GQkCA+NJ8c9g6wkBwRUUUVFBSU6/nbt2/HuHHjxDxqKysrzJkzB1OnTi1TEbEXXngBR48exeTJk7Fs2TIARcPWgaKh3JrD2Uvi7+8v5sKre+HVFAoFUlNTMX369HL9TmXh4OBQ5p7uOnXqwMHBgYmHGWKirrsHDx6I7b59+z61voGXlxc6d+6MP/74AxcuXMDFixfF2s7x8fHYsWMHatWqBTc3N7i5ueH5559Hw4YNueybCVEn6o6OjqhZs6bM0Zg+Xa+PpyXpardv38bOnTufWWjVXDBRNxOa89M7duyotU+lUiEuLg4A4OLiAhcXF6PGRkRUGSQmJortJyuta8rJycHkyZOxYsUK0daoUSPExMQUe39+FltbWyxduhSdOnXCyJEjRXv16tVRq1atUn/u1KlTmD17dqn7yzok3dLSEnXq1Clz4u3s7AxbW9sy/35kvpio605z5QF3d/dnPr9Tp074448/AADdunWDjY0NJEnC7du3taaxqFlZWcHV1VUreVdvqx/XqlWLN8iMoLCwEP/88w8ADnsvq4pcH2Vx8eJFneIyRUzUzcTTCsldvXpVDHfk/HQiIt3cu3dPbKenp5f4nMTERPj5+eGvv/4SbYMHD8aKFSuemlg/TXp6OjZs2KDVVlqPfHJyMmbMmFHs+WrVq1cv8xDzunXrolatWma9hBgZjmbhv8oyjNRYNHu7c3Nzn/n8rKwssa0uDPw0BQUFuHnzptaQ6yfVrFnzqYn8c889x9dVD1JTU8VoLA57L5uKXB9lUZn+rpmomwl1ITk7Ozu0bdtWax/npxMRVZzmXf4ne40lScKKFSswefJk8cXC3t4eixcvxujRo3Xuufrzzz/x3nvviR4ZtfT0dPz1119o3bo1gKIvKgsWLEB4eDhycnKKHWfkyJFYvnw5qlWrplMcRE/SrFlQmb74GoPm+8ezegLz8/Oxc+dO8bhhw4bi5pkkSbC2tkb//v3h4uKC5ORk3Lp1S/yneXPxSZmZmfjrr7+0bipqUigUaNCgwVOT+bp167JX/hk4P738KnJ9lEWvXr10issUMVE3A3fv3hXzMry8vIp9YLLiOxFRxZWWqD948AAffvghtm/fLtratm2LzZs3o2XLljqdS5IkREVFISgoSJy3Xr16eP/99xEVFQUACAkJwaZNm7Bu3Tp8+eWXWkvRODo6QqFQ4P79+wCAKVOmMEknvWKirjvNa/HgwYM4e/YsPDw8SnzuihUrxLU9YMAArfeZZ8nOzi6WvD/5uLQlESVJQmpqKlJTU7VGbWqys7PTSuBLSuafNr+4KuDSbOWn6/XRt29fHD16VNSFKUm3bt3EUqeVARN1M3Dy5EmxXVIhOc0edXVlRCIiKh/NYnLqRP3o0aMYOnQokpOTxb6AgAAsWLCgxCq1ZZGVlYUPP/wQmzdvFm2vvvoqtmzZgurVq2Pt2rV4/Pgxtm7div3792sV3rG2tsbQoUNx/vx5xMfHAwBee+01vPTSSzrFQlSax48fi23WJSifv//+W2yrVCq8+eabWLNmDd5++23RQ52bm4tly5Zh6tSp4rmTJk0q13ns7e3h7u5e6jxfSZKQnp6ulbg/mcynpaWVWtMiNzcXV65cwZUrV0qNwdnZ+amJfGUvfMel2cpP1+tj8uTJmDZtGvr27YtHjx4VO26rVq0QExNj8PiNiYm6GdBcP/3JQkUFBQXiy1rjxo1Rp04do8ZGRFRZaPaoW1tbIzQ0FCEhIVCpVAAAJycnrF27Fv369dP5HBcuXMDAgQNFdXcACAoKwty5c0XBrjlz5mDy5MkAtKvjNmrUCI6OjoiOjhZtTk5OWLVqlc7xEJVGc4oFE/Wyy8vLE8Ws7OzskJubizt37qBv375o3rw5XnvtNeTm5mLPnj1iRAxQdAPQx8dHr7EoFApRl6K0jpy8vDykpKQ8tVc+MzOz1HPcu3cP9+7dE0sIP6myF77j0Pfyqej1oVAocPbsWSxZsgTff/89MjIy8Pzzz2PMmDEYO3YsHBwc5PrVDIKJuhl4WiG5pKQkMTyN89OJiHSn2aM+Z84crSrwr7/+OjZs2IDnnntO5+PHxMTgww8/FD2VDg4OWLt2LQYMGACgaF56SEiIWKrtSX///bdWT4Srqyt2796NFi1a6BwTUWk0h74zUS+7uLg4cdPP19cXaWlpOHLkCACU2jv96aefIiIiQpZk1cbGBo0bN0bjxo1LfU5GRsZTe+X/+eefEqvTA5W/8B0T9fLRx/XRqFEjLFy4EAsXLjRe4DJhom7iVCqVGPpev379YsNqOD+diEg/NHvU1Um6hYUFZs+ejRkzZug8fFOpVCIoKAhLliwRbW3btsW2bdvQvHlzKJVKREVFISwsTKzgAQANGjSAt7c3jh8/rtWz4O7ujokTJ2LkyJGoXbu2TjERPYtmj7qu0zyqol9//VVsv/XWWxg5ciR27tyJpUuX4tChQ2KfjY0N3n//fXz88cfo3LmzHKGWWa1atfDSSy+VOsWmsLAQaWlpT+2Vr6yF79Rz1G1tbVGvXj2jn9/cVMbrw5CYqJu4S5cuiS9uHTt2LPYmpDk/nYk6EZFucnNzi32RdHNzw6ZNm9ClSxedj3vr1i289957WrVGPvjgAyxZsgTVqlXD9u3bMW3aNFEwFCiadzp9+nQEBQXB3t4eubm5SE5OxuPHj1GrVi00atTIbIeJkvnQTNRZqLDsduzYIbZ79uwJa2trDBo0CIMGDUJaWhru3LkDa2truLi46Lyko6mxtLSEq6srXF1d0alTpxKfUxkL30mSJHrU3dzc+L5cBlXx+qgIJuom7mnD3oH/9agrFAp4eXkZLS4iosoiKSkJfn5+WonJq6++itjYWDg6Oup83L1792LYsGHiBoCtrS2ioqIwduxYnD59GoGBgTh69Kh4vkKhwOjRoxEWFgYXFxfRbmdnh+bNm+scB5EuNJMmJuplk5CQgHPnzgEAOnToUGwUZIMGDdCgQQM5QpNdZSx89+DBA7HGN4e9Pxuvj/Jjom7inpao5+Xl4ezZswCKhkJWtgIKRESGJEkS1qxZg08++URrPi4AzJo1S+ckvbCwEKGhoQgLCxNfKhs3boxt27ahbt26GDlyJDZs2KD1Mz4+PoiMjKxUy8qQecvNzRXbTNTLRnN6ywcffCBfIGbIHAvfcWm28uH1UX5M1E2cuuK7QqEoNrT9/PnzyMvLA8BCckRE5ZGRkYHx48djy5Ytok2hUIjEWtchjOnp6Rg2bJjWPDxfX18sWbIEK1euRHh4uFbPfYsWLRAeHo6+ffty2CSZFM1EXT1HXb0CgoWFhSwxmbLk5GSxIkPNmjUxbNgwmSOqfEyt8J3mcVQqFa5fv45GjRrx+igBrw/dMFE3YdnZ2Th//jwAoHXr1qhZs6bWfs5PJyIqvxMnTmDIkCG4ceOGaBs/fjxWr16tVfldl+O+9957Ys11CwsLhIWFoV69eujQoQPS0tLEc52cnDB79mxMmDBBLMtGZEo0h75Xr14dFy9eRKdOnZCbmwtnZ+cK31hKT0+vaIgmJTg4WBSk9Pf35yhHmchV+G7t2rVYu3YtbG1teX2UgNeHbpiom7C4uDhxt+5p89MB9qgTET2LSqXCggULEBwcLBLy2rVrY9WqVRgwYABWrFih03ElSUJUVBSCgoLEF5F69eph2rRpWLdunZiTBxStzx4QEICZM2dWaP47kaFpJur29vZYvXq1KG7777//Vvj4KSkpFT6GqThy5IjoLXR0dERQUJDMEVFpDF34TqlU8vp4Aq8P3TFRN2HqYe9AUcX3J6l71C0tLTmvkYjoKVJTUzFy5Ejs379ftHXp0gUbN27ECy+8oDXMtzyysrLw4YcfYvPmzaLNy8sLTk5OmDJlitZzBwwYgPnz56NZs2a6/RJERvRkj7rmvN769evDykq3r5DqBMTV1bViAZqIzMxMjBkzRjwOCQmBs7OzjBFRRZW18N2QIUNw4MABAMC4ceNw8eJFXL16VedrA+D1QdqYqJuwpxWSy87OFuv8tm7dWu9LThARVRa//PILRo0ahbt37wIomn8+c+ZMzJo1S3yh0pw3XlYXLlzAwIEDkZSUJNo8PT1x9uxZrbmL3t7eiIyMRNeuXSv4mxAZj7oGDlCUqKuXELSxsUFKSkq5qmOrFRQUiKkederU0U+gMpIkCR999BGuXr0KoKhTZeLEiTJHRYamLnz36NEj8XjJkiWwsbGp0HF5fdCTmKibMHWPeo0aNdCqVSutfZpfBDk/nYioOKVSiRkzZiAyMlK0ubi4YOPGjejWrZvWc5+s+v4sMTEx+PDDD/H48WMARUuvWVpaIiEhQTzH1dUVc+fOxbBhw1hciMyOehoHUNTDeO3aNQBAo0aNdErSK6PQ0FAxmsbBwQEbNmzgv00Voi465+LiUuEkvTLi9VFxTNRNVEpKihj+0r59+2J/2JyfTkRUuitXrsDPzw/x8fGizdfXF2vWrCmxp6KsPepKpRJBQUFay8zY2NgUm887ffp0BAUFcbQTmS3NHvXCwkJxU6pJkyZyhWRSvv76a8yePRtAUY9qdHQ0mjZtKm9QZDQ5OTm4c+cOAC7NVhJeH/rBW/wm6mnD3gFWfCciKs369evh5eUlknQbGxssWrQIO3fuLHU4YVl61G/duoWuXbtqJenA/xIahUKBMWPG4MqVKwgODmaSTmZNs0ddc23qqp6oS5KEWbNmITAwULSFh4fj3XfflS8oMjr16h4A4ObmJmMkpoXXh36xR91EaRaSe1rFdxsbm1KXoCAiqkoyMzMxceJEbNiwQbS5u7tjy5Yt8PDweOrPPitR37t3L4YNG1bqsj0+Pj6IjIxkYU+qNDSXKtT8u6/KifqjR48wduxYbNu2TbSFhIRoJSVUNWiutc4e9SK8PvSPPeom6mk96o8ePcKlS5cAAB4eHpwXQ0RVXlxcHLy8vLSS9DFjxiAuLu6ZSTpQ+tD3wsJC/Oc//0GvXr1KTNJbtGiB2NhYHDhwgEk6VSqaibq6ECNQdRP1Q4cOwcPDQysJ+eabbzBr1iwZoyK5MFHXxuvDMNijboIKCgrE0HY3Nzc0bNhQa398fDwkSQLA+elEVLWpVCp8/fXX+OKLL8RQXQcHB6xYsQJ+fn5lPk5JPerp6ekYOnQo9u3bV2yfk5MTZs+ejQkTJogqvUSViWainpaWJrar2jzTa9euYebMmVpLMDo4OGDjxo3o27evjJGRnG7duiW2q3KizuvDsJiom6DExETxpfFp66cDnJ9ORFXXnTt3MGrUKOzZs0e0vfLKK9i0aVO5e/2e7FE/ceIEhg4dqtWTCADW1tYICAjAzJkz4ejoqHvwRCZOM1FXF7cFgMaNG8sRjlFJkoQ///wTUVFR+P7777X+LV577TVER0dXiX8HKp1mj3pVm6PO68N4mKiboGcVkmPFdyKq6vbv348RI0Zo9fR9/vnnCAsL06mH+8ke9ZkzZxZ7zoABAzB//nw0a9as/AETmRn1ErDA/wpn1a1bFzVr1pQrJIPKzMzEn3/+iX379uHHH3/ElStXtPY7Oztj7ty5GDt2LJdbpCo39J3XhzyYqJugslZ8t7e3R8uWLY0Wl5wSEhKwfv16rSWQ5GBlZQV7e3vUq1cPbm5uaNmyJVq0aMF1IYmMJD8/H8HBwViwYIGYAtSgQQOsW7cOPXv21Pm4Tysm17ZtWyxevBhdu3bV+fgkr4yMDK0q5oZSrVo12NvbQ6FQGPxchqaZqKempgLQ7/z0M2fOoG3btno7XlkVFhbiwoULsLe3R6NGjZCfn4+MjAzcvXtXvKdocnZ2RkBAACZPngwHBwejx2to/H6lG3Wi7ujoaJCbV9euXYO/v7/ej/ssSqUSq1atQoMGDdC9e3fcvn0b165dw82bN6vk9SE3hVTSvzrJqlWrVrh48SKsrKzw6NEjVKtWTey7d++eWF6oS5cuOHr0qFxhGo0kSWjcuLHW3UtTUqNGDXTq1Am9e/dG//790ahRI7lDIqqUbty4gSFDhmjdzOzVqxeio6NRr149nY+rVCrx/vvvIzY2Vqu9Ro0aWLRoEUaNGsUeAjM2adIkLF261Gjns7GxQb169eDu7o6WLVuic+fO6Nq1K1xdXY0Wgz7Y2NgUu7kxZMgQbNq0Sedj5ufnm0UBXIVCgVdeeQXjx4/H4MGDtb6HVSb8fqWbwsJC2NnZoaCgAB4eHkhISNDLcQsKCsyi5omFhQW6du2KUaNGVerrwyRIZFIePnwoKRQKCYDk7e1dbP/evXslABIA6bPPPpMhQuPLz88Xv7M5/Pf6669L33//vZSfny/3Px1RpRETEyM5ODiI68za2lqKiIiQCgsLdT6mSqWStm3bJjVp0qTYdezn5yc9fvxYj78ByUGlUkkNGjSQ/XMBgOTp6SnNmTNHunHjhtz/LGViaWlZ7Hf48ssvK3RMfp6bFr4euklOThYx9evXT6/Hfuedd2T/d37yPwcHB+mVV16RJk6cKG3cuFG6e/euXn9nKh2HvpuYU6dOiaElnJ9eXNu2bbF69WpZzi1JEgoKCvD48WOkpaXh+vXrOH/+PI4fP65VaOfw4cM4fPgwmjZtitDQUPj5+bE3jkhHjx8/xieffII1a9aItmbNmiEmJqZC74GnTp1CYGBgiaOS1q9fj+HDh+t8bDIdCoUCs2bNwsSJE0Vb/fr1DfL5KUkSsrOz8eDBAyQnJ+P+/fta+xMSEpCQkIBZs2bB19cXAQEB6N69u8kOk1epVMXa9Dn0vVmzZggODtbb8cpDPVrR0tISeXl5SE1NRWJiYpX+POf3q7Iz5Pz0H374AYmJibJORXjw4AFq166N2rVro169enBwcDDZ96lKT977BPSksLAwcQdr3bp1xfa/++67Yv+lS5dkiND4NO/4dunSRe5wilGpVNKFCxekr776SnJ3dy92J7JLly7S+fPn5Q6TyOycOXOm2DU1fPhw6dGjRzof89atW9Lw4cOLXafPP/+82P7jjz/0+FuQKZg1a5Z4fS0tLaU9e/YY/Jx3796V9u7dK82cOVNq3759iT1VHTp0kH777TeDx6ILdYzqUX4AKhwrP89NC18P3WzatEnEEB4ebvTzU9XBRN3E9O3b96mJuKurqxiGUpEhn+bE1D9INKlUKmnfvn2Sj4+P1oeJjY2NFBERIalUKrlDJDJ5KpVK+vbbbyUbGxtxDVWvXr3Em5dllZmZKQUHB0vVqlXTujZbtGghxcbGSh999JFoO3PmjP5+GTIJKpVKmjhxoniNa9euLV29etWoMfz999/SnDlzxOe45n99+vQxqZvvBQUFJSbqt27dqtBx+XluWvh66Gbu3Lni/N9//73RzktVDxN1E6JSqaS6detKACRHR8dibzr//vuveGPo3r27TFEanzl9kGjas2eP1KJFC60PlPfee4/zXome4u7du5Kvr6/WdePl5SVdvnxZp+MVFBRIq1evLjZP2cnJSVq0aJGUl5cnSZIkjRw5ssqNVqpqCgsLpX79+onX+aWXXpKysrKMHkdeXp60efNmqU2bNlp/k3Z2dtLChQulgoICo8f0pOzs7GKJuo2NTYVj4+e5aeHroZsJEyaI8544ccIo56SqqXJOtDFTN27cwN27dwEUzU9/cj6Ielk2oGrOTzc3b731Fs6dO4cpU6aItq1bt6JHjx7F5i4SEfDbb7/Bw8MDP/30k2gLDAzE8ePH0bx583If78CBA/Dy8sLYsWPFeuvW1tYIDAzE1atXERAQICrsai7Pxgq2lZOFhQXWr1+PF198EQBw/vx5fPjhh0aPw9raGoMHD0ZCQgLWrl2L5557DgCQm5uLqVOnonPnzsXWKDa2vLw8sS39/7o5jRo1MtmlsgyNn+emRe7Xo6qtoU7yYaJuQsq6fjoAtG/f3igxUcXY2tpi4cKFiI2NFetsHj9+HG+++SYePnwob3BEJqKgoADBwcHo3r07/v33XwBA3bp18fPPPyMiIqLcyzklJSXB19cXPXr0wLlz50T7gAEDcOHCBURERMDR0VHrZ3JycsS2vb19BX4bMmUODg748ccfxftxTEwMtmzZIksslpaW+OCDD5CUlITJkyeLm/MnT55Eu3btsGPHDlniArQTdTV9FpIzR/w8Ny1yvh63bt0SMVRkaVCiZ2GibkKelahX9Yrv5szX1xe///476tevDwCIi4vDO++8I2tVTyJTcPPmTXTr1g1z5swRPXc9evTA2bNn0bt373IdKz09HQEBAWjTpg127dol2r29vXH48GFs374dzZo1K/FnNXvUmahXbu7u7li5cqV4PHHiRKSmpsoWT/Xq1REZGYljx47B3d0dQFFV8oEDB2LKlCkoKCgwekxM1EvHz3PTYuzXQ5Ik0aPu5ubGauhkUEzUTciff/4ptjt06KC1T5Ik0aNep04dDrUxQ56enjh48CDq1q0LAPj999/h7+8vc1RE8tm+fTs8PT1x7NgxAICVlRXmzZuHvXv3omHDhmU+jlKpREREBJo1a4aoqCgUFhYCAFxdXbFu3TqcPHkSXbt2feoxNBN1Ozs7HX4bMieDBw/G4MGDAQD379/HhAkTZI4I6NSpE06fPo0hQ4aItoiICPTv3x+PHz82aiya14MaE/X/4ee5aTHm6/HgwQNkZWUB4LB3Mjwm6iZCqVTizJkzAIDmzZvD2dlZa/+tW7fE/PV27drxDp6ZatWqFXbt2iXmwK5atQobN26UOSoi48rJycGECRMwaNAgMUSxUaNGOHLkCD7//PMyr4srSRK2b9+OVq1aYcqUKcjIyABQ1CMeGhqKy5cvY8SIEWU6nnroe7Vq1fj+WkUsWbJE9MLFxsbi119/lTkioEaNGti4cSMWL14s6ifs2rUL3bt3x507d4wWhzoR0cREXRs/z02LsV4P9bB3gIk6GR4TdRORkJAghpo9a9i7uc1PlyQJKpVK7jBMRocOHfDdd9+Jx/7+/rIOuyQypsTERLRv3x4rVqwQberCWh07dizzcU6dOoWuXbti0KBBuH79OgBAoVBgzJgxuHLlCoKDg8s1hF3dg8hCcqalsLBQTInQN2dnZ0RGRorHQUFBYjSGnBQKBfz9/bFnzx44ODgAKJq33rlzZ60iVoZUUqLetGlTo5zbnJjC57mhrg9zZIzXQ/MadHNz0+uxiZ5kJXcAVERzfnpJX1bNteL7hQsX0LFjR+Tl5cHZ2bnCPVXp6el6ikxew4cPx549e7Bx40Y8fPgQQUFB2LRpk9xhERmMJElYsWIFJk+ejNzcXABFPd+LFy/G6NGjy/zekJycjBkzZmDDhg1a7T4+PoiMjISnp6dO8al71Dk/3XRcuHABnTt3Rm5url4+P0pjbW2N/Px8JCYmwt/fH8uWLTPIecqre/fuOHLkCN5++22kpKTg2rVr8PHxwaFDhwzek5eZmVmsLSsrC7Vq1UJeXh4cHR3LPPKlNPw81939+/cxf/58LFmyBAUFBXBycuLr8f8Z+vVgxXcyKtkWhiMtQ4cOFWsynjp1qtj+7t27i/0pKSkyRKibSZMmaa1zWdH/atSoIfevpDfp6elSnTp1xO/2559/yh0SkUHcv39fGjhwoNa13LZtW+nChQtlPkZmZqYUHBwsVatWTes4LVq0kGJjYyWVSlWhGB0dHcXxyDRMnz5dr58fZfnP1tZWKiwslPtX13Lr1i2tNaMbN24s/f333wY95/fff6/171K3bl2pb9++/DwvhbE+z7OysqSvvvpKqlWrlt7/9vl6lE1gYKA47qFDh/R2XKKSsEfdRKgLydnZ2aFt27Za+1QqFeLi4gAALi4ucHFxMXp8uoqPjxfbDRs21PmOb0pKCoCi4lCVhbOzM0JCQjBp0iQAQFhYmFalaqLK4OjRoxg6dCiSk5NFW0BAABYsWFCmom2FhYWIjo7Gl19+KdZCBwAnJyfMnj0bEyZMEHN5K4JD302P5pzsevXq6eV1Lk16ejqUSiWUSiV++eUX9OnTx2DnKq/nn38ehw4dgo+PDy5fvowbN27Ax8cHx44dK1fRxfJ4cuj7c889h59//hlAUdHHevXq6TzCgZ/n5ZeXl4fvvvsOc+bMwe3bt0W7tbU1atWqBVtbW52PzdejfDhHnYxK7jsFJEl37twRd+c6d+5cbP+lS5fE/nfeecf4AeqooKBA9H41adJE5+Pk5+eL379Lly56jFB+SqVSev7558XvV54eRiJTVlBQIIWEhEgWFhbi79vJyUnauXNnmY+xf/9+qW3btlq9PtbW1lJgYKB0//59vcVaWFgojt+pUye9HZcqxtfXV7wuaWlpBj1XbGysONcbb7xh0HPpKiUlRatn3cPDQ3r48KFBzhUVFaV13bVp00Zsz549W+fj8vO8fAoKCqR169ZJjRs31no9LCwspHHjxkm3bt2q0PH5epRf+/btJQCSQqGQlEqlXo5JVBoWkzMBJ0+eFNslFZIz1/nply5dEvM+vby8ZI7GNNnY2GDy5MnisWYRFCJz9c8//+CNN97Af/7zH1FI8vXXX8fZs2fRr1+/Z/58UlISfH190aNHD5w7d060DxgwABcuXEBERAQcHR31Fq/6fQpgj7op0Zwz6+TkZNBz9enTB82aNQMAHDhwQGsEiKlwcXHBoUOH0KhRIwDA2bNnMWDAAIOsF/3kcnDqebkWFhYYO3as3s9XGejz81ySJOzcuRMeHh4YOXIkbty4Ifa99957uHDhAlauXInnn3++QjFXZob6fqW+FlxcXGBjY6OXYxKVhom6CdBcP72kQnLmWvFdc9g7E/XSjRo1SrzZb9myxSSqDhPpKjY2Fh4eHjh8+DCAoi/2oaGhOHDgAJ577rmn/mx6ejoCAgLQpk0brWGK3t7eOHz4MLZv3y6SKX3STNRZTM50qJckdXR0NOiwd6Do73TEiBHi8datWw16Pl25uLhgz549YgnXgwcPYvTo0Xqv/K15TQD/Ky7Xp0+fZ17HVZk+Ps9/++03dO7cGe+++y7++usv0f7WW2/h9OnT+P777+Hu7q63mCszfX+/ysnJEVNyOOydjIGJugnQrPj+rB51b29vo8SkD0zUy8bJyQm9evUCAKSmpmr9PRCZi9zcXAQEBOCdd97B/fv3ARQtXfP7778jODgYlpaWpf6sUqlEREQEmjVrhqioKPFlytXVFevWrcPJkyfRtWtXg8Wunp8OMFE3Jeoe9Tp16hjlfO+//77Y3r17t1HOqQt3d3et9aJjYmIwd+5cvZ5D85rQNH78eL2ep7J52uf59evXMW/ePAQGBmLatGlYvnw5Hj58KPbHxcXhrbfego+PT7EOnEOHDmHPnj1m9R3QFFTk9SiJ5kgbLs1GxsBicjJTqVRi6Hv9+vWLXfgFBQUi4W3cuLHRvrDog2ai/vLLL8sYienr168fYmNjARQNu+zcubPMERGVXVJSEvz8/HD27FnRNmDAAKxateqpQ9QlScKOHTswbdo0sRY6UJQsT58+HUFBQUZJnDWTEg59Nw35+fniS3PdunWNck53d3e88MILuHnzJo4dO4bc3NwyFTyUQ8eOHbF582a8++67kCQJM2fOxEsvvQRfX1+9HP/JHnWgqKCcOumh0j35eW5nZ4fg4GD88ssvxUY+BAUFoU+fPlAqleJn1Nq0aYOvvvoKvr6+BluasCoo7+sxbNgwfPXVVyW+73BpNjI29qjL7NKlS8jIyABQ9MH75JtxUlKS+BJpTvPTVSoVzpw5A6Dow71evXoyR2TaunfvLrY176QTmTJJkrB69Wp4e3uLJN3Ozg7Lly/Htm3bnpqknzp1Cl27dsWgQYNEkq5QKDBmzBhcuXIFwcHBRuvd5tB303Pv3j2xbawb1AqFAj4+PgCKRnmoP8NMVb9+/TBnzhwARdfisGHDcOHCBb0cu6REfdy4cU8dGUNFND/Pf/rpJ7z22mv4+eefS5yekJ2dja1bt2ol6Y0aNcK6deuQkJCAfv36MUmvoPK+HitXrkSnTp20knI1JupkbEzUZfasYe/mOj/9+vXrePToEQAOey+LRo0aiWJJmiMRiExVRkYGhgwZgnHjxombia1bt8apU6cwfvz4Ur9cJicnY8SIEejQoQOOHj0q2n18fBAfH4/Vq1cbfQlK9qibHvX8dMB4PeqA9ufV+fPnjXZeXX3xxRcYPHgwgKJ55P379xfzySviyUSdReTKTvPz/NSpU+L95fnnn8dXX32Fn376CQMHDix208PS0hLh4eG4dOkSRowYwZsievKs1+PIkSP49ddfMWnSJFSvXh0AcO3aNfTu3bvYMoVcmo2MjYm6zMozP92cEnXOTy8fhUKBVq1aAQDS0tKKfTgQmZITJ07g5ZdfxpYtW0Tb+PHjcfLkSbRp06bEn8nKysKsWbPg7u6ODRs2iPYWLVogNjYWBw4cgKenp6FDLxF71E2PZsV3Y075at26tdi+dOmS0c6rK4VCgdWrV4tr5/Lly/j4448rXFxOPdJPjUXkyk7z81ytf//+iIuLQ35+PoYOHYrt27eLWhwWFkVfxQsLC1GtWjVWEtez0l6Py5cvY8aMGXj11VfRs2dPREVF4eLFi2jRogUA4OLFi1i3bp3Wz2n2qHOOOhkDE3WZqYc5KxSKEhNxdY+6QqEwq4SXiXr5ad6d/eeff2SMhKhkKpUK8+bNw6uvviqWC6pduza2bduG5cuXl5jkFhYWYs2aNWjevDnCwsJEUuzk5IRFixYhMTFR9jmYLCZneuTqUddc7io1NdVo562I6tWrY+vWrahZsyYAYOPGjVi7dm2FjvngwQOtxywiVz6af7NOTk7o2LEjWrVqhdmzZ4sRD3Z2dpg2bRr2798vnrtkyRK9V/An7dfD2dkZGzZsKLH+xPPPP4+YmBjx+MnXg0PfydhYTE5G2dnZYmhd69atxYesWl5enpj36e7uDgcHB6PHqCsm6uWnXm4HKP4lqTwSEhLEB0316tVhb28v/q+5XdI+e3t7cXefSFNqaipGjhyp9aWyS5cu2LhxY6lfWA4cOIDAwECttdCtra0REBCAmTNn6nUt9Irg0HfTI1ePumY9Fc0YTF2zZs2watUqMQze398fr7zyitYIgfLQvFFia2vLInLlpPkZrlQq8fnnn4vHVlZWGDduHIKDg8U0n86dO+OPP/7AhQsXcPHiRdEDfObMGezduxcfffSRGL5N5af5evTt2/epN2S9vLxKfT3Uibqjo2Ox7+xEhsBEXUZxcXFi6FNJw97Pnz+PvLw8AOZVSE6SJJGo16tXz+jzTc2VZoLQr18/2NralvsYkiTh9u3bFVor1M7O7qmJfUXaqlevDhsbGxbHMTO//PILRo0aJb68KxQKzJw5E7NmzYKVVfGPkaSkJEydOlVrLXSgqBL8/PnzDbIWekVw6LvpkatHXXPYsfrz11y8//772Lt3L9asWYOcnBy0b99e5+QuJSVFbNeuXZvzpctBkiSt0RiPHz8W20OGDEFoaGix98BOnTrhjz/+AAB069ZN/B2mpaWhsLAQK1euxOXLl/k66Cg/P19sl2UN+pJeD0mS8O+//wKAWXWckXljoi6jJ9fJfJK5zk9PTk4WFXu9vLyYlJWR5vAqOXtycnNzkZubq1V1WZ8sLCz0fgPgye2SkkcqP6VSiRkzZiAyMlK0ubi4YOPGjejWrVux56enpyMkJATLli3Tulnk7e2NyMhIg66FXhHsUTc9cvWoazK3Icg5OTliuVf1Y82EuyLHpbLZv38/ZsyYUay+QZ8+ffDVV1/Bw8OjxJ/TrEujeZNK7fr161i5ciUmTJig34CrCM0bHLm5uc98/rNeD5VKpZ/AiJ6B32ZlVJ6K7+bUo665pA2HvZeduko+UDQSwdraWqfjSJIEGxsbfPDBB+jQoQMeP36M7Oxs8X/N7bK2ad6NriiVSoWsrCyDFsyzsbEpVy9/eW8KVKtWrdLfgLpy5Qr8/Py0prH4+vpizZo1xRInpVKJqKgohIWFaRWhcnV1xdy5czFs2DCTnlLBHnXTI1ePuub7cK1atYx2Xn347LPPkJiYCKBouLqzs7PO71OavYfZ2dm4d++e1vQs0nby5El88cUXOHjwYLF97dq1Kza6SFN+fj527twpHjds2FC8XyqVSnHTasaMGRg0aJBsN67MmeYIRXVPeWme9npIkgR7e3vMnTvXMIESPYGJuozUPeo1atQoVpES+F+PuqWlpWzVkHXB+em6SUtLE9snT540qUIl+fn5FU72n9Wmz96rvLw85OXl4eHDh3o75pN0Hfpf1ufreqNGH9avX4+JEyeKmyk2NjYIDw+Hv7+/1hd/SZKwY8cOTJs2TayFDhT920yfPh1BQUFmkfiymJzpkatH/fbt22LbnOYE/9///R++++47AEWjQk6fPl3i94rymDJlCiIiIlBQUIDo6GgEBgbqI9RK5cKFC5g5cyZ++OEHrXYHBwdx0yc+Ph5nz54ttTd9xYoV4vN/wIAB2L59u9b+ESNGYMOGDXjw4AG++OILrFz5/9g787Coqv+Pv4dVQVHAHXcREhUXyrXMtbRAE/XrgpaiKSmkgJoiqICKIlARRprLF3dDLP1auaFp5kYiCiEq4oIKKqKyOsDM+f0xvznNFZBtVvi8nmeeZ+65d845M2dg7vt8th9V8E5qN4qeUidPnqzRehCEOiGhriEePnzIXdLeeeedUnFHBQUFfGe8a9euOnXzSEK9esiFjoGBAaysrDQ8GyGGhoZo1KiRyixMjDG8evVKJRsA8udisVipc5b3ryoMDAxUkiPgTYkDc3NzMXfuXEH5NFtbW+zbt6/UTU1cXBy8vLwEtdBFIhFmzJiBwMBAncpNQa7v2odcqBsbG6NBgwZqG/f27dv8eadOndQ2bk34+++/BS7RGzZsqLFIB4DPP/8coaGhAIBNmzbB09Oz1nsSVZa7d+9i5cqV2LFjh8ANulOnTggMDERQUBBPFiyVSvHBBx9g69at+Oijj/hn+OrVK0RGRmLRokX89fPmzSs11vr163Ho0CHk5ORg8+bNmDlzZpnhkkT53L17lz+v6XoQhDohoa4hKnJ7v3r1Ko/x1KX4dOBfod64cWO0b99es5PREYqKinD9+nUAQOfOnetcjLVIJEL9+vVRv359lblXlpSUoLCwsNIiv6qbAvn5+UqNWyspKUFOTo7AFVfZKCYO1NPTQ2ZmpmBDo1OnThgwYAD++9//8uvEYjGOHj0q+B8GyNw7ly1bhrfffhv16tWDWCzWmcSB5Pqufchd35s0aaLW75BcXAGy/8XaztOnT+Hs7Mz/bt3c3DBjxgyl9G1ra4vBgwfjjz/+wI0bN3DmzBm8//77SulbV3ny5AlWr16NyMhIQUhYy5YtsWLFCri6uoIxhs8++wyA7H/sq1ev8OTJEzg6OqJz585477338OrVKxw5cgTZ2dm8Dw8PDwwZMqTUmC1atEBAQAAWLFgAQCYeL126RInlKoni/ZUy1oMg1EndUgNahGIiudoUn56Zmcnj2iiRXOW5fPky/9F3cHDQ8GxqJwYGBmjYsKHKSqowxlBUVKQ0b4Cyzik7qVNFiQNv374tsDC+ib///htjx44VtOlK4kCyqGsXjDFuUVd3PK7ib7O2b5IXFRVhwoQJSE9PByDLVP3tt98qdYzZs2fjjz/+ACCzqtdVof7y5UuEhoYiLCxMkMXd3NwcS5Ysgbu7O9/kO3/+PP89d3JyQmZmJv78808Astwft27dKtX//PnzERoaWu4907x587BlyxYkJiYiPj6eEstVAcX7K2WtB0GoCxLqGqIii7quZnynRHLV49ixY/x5Wdm0Ce1HJBLB2NgYxsbGKqsPLpVKq+QVUFHby5cvcffuXZW58OtK4kDFzYhHjx6hUaNGdSpxoLaRm5vLS6OpM5GcWCzmN/DNmjVDx44d1TZ2VWGMYebMmTh9+jQAmdV1//79gvJyysDZ2RmWlpZ49uwZ9u/fj/Dw8DqVVK6wsBAbNmxAUFCQwNpqYmICT09PLFy4EI0bNxa8RvH3/MMPP8Snn36KgwcP4vvvv8epU6f4OSMjI/znP//BF198gQEDBrxxHgYGBtiwYQOvnEGJ5SqPKtaDINQFCXUNUFJSwoV427Zt0bJly1LXyC3qRkZG6N69u1rnVxMoPr16HDhwgD8fMWKEBmdCaDN6enowNTWFqalpjQXMiRMnMG3aNIFI/+qrr7B8+XIUFxcjPz8fJ06cwOrVq3Hz5k1+jb6+PoYNG4ahQ4cCQK1LHDhy5MhSbbU5caA2oqlEcqdPn+abSqNGjdLqDZrly5fzXBL16tXDzz//rJK8EMbGxpg+fTpCQ0NRVFRUZ5LKlZSUYNu2bfD39xeUuDM0NMScOXOwbNkytGjRoszXvv57bmhoiPHjx2P8+PHIzMzEkydPYGhoiFatWlUp78t7772HqVOnUmK5KqKq9SAIdUBCXQMkJSXxm+OyEoLk5OTwGpw9evRQ+g65KiGhXnUSEhJw7do1AECfPn3Qtm1bDc+IqM0UFxfDz88PwcHBXDC3aNEC27dv55tEKSkpWLRoUamSQs7Ozli3bh2sra2rPT4lDiyNJhIHajOaKs22e/du/tzR0VFt41aVH3/8EatWrQIg8+TZvXu3SpOL1aWkclKpFNHR0fDz8xO4RItEIkydOhX+/v7o0KFDua+v6Pe8RYsW5Qr8ykCJ5aqGqteDIFQNCXUNUJHbe3x8PL+B1qX4dOBfoW5qaqoTiXi0gQ0bNvDn06dP19xEiFrPnTt3MHnyZMH/oJEjRyIqKgrNmjVDVlYW/P39ERkZyZNZArK8CWFhYdztsiZoY+LADRs24N69ewBkpZDEYnGtThyoik0BZSYO1IRFPTc3F9HR0QBk9dM//vhjtYxbVXbu3Ik5c+bw42+++aZUbghlUxeSyjHGcPToUfj4+AhC+ABgzJgxWLVqFbp161ZhP6r+PafEclWD7q8IXYeEugaorfHp2dnZvARGz549uQWHMQbGmE5ZdNRFeno6oqKiAAANGzaEi4uLhmdE1Fb27t2LOXPmcDFoaGiItWvXYsGCBSguLkZoaCgCAwPx8uVL/horKysEBQXBxcVFp/5+q5o48KeffsK9e/egp6eHqKioCgVnbUwcWFOUmThQMaGbkZERGGMqt+D+8MMP3Gti8uTJWplUMDo6Gp999hnfyPf29saXX36plrFrc1K5c+fOYenSpThz5oygffDgwQgKCqq0xVpdv+eUWK5y0P0VURsgoa4B5DchBgYGZbqH62rG97ISyV2/fh39+vWDWCyGpaVljW+2FC0ttQE/Pz+ejdTd3R1mZmYanhFR28jPz8eXX36JrVu38jZra2vs2bMHDg4OOHDgABYvXoy0tDR+3sTEBEuWLIG3t3edKFcmF8UmJiaV+h+li4kDy2pTLC+ljPmqInHg0qVL4e/vDwsLC5WJdcYYMjMz+bHcWqlNxMTEYMqUKdyTY+7cuVi/fr3axldMKrdnzx6cOnWqxpt3mv49v3btGpYtW1YqxMfBwQFr1qzBiBEjqvSdU9fv+euJ5ebNm4eAgACdXw9lQ/dXRG2AhLqaefnyJVJSUgDI4s/L2rWXW9RNTEzQpUsXtc6vJpQVn/79999zC568bFtNUEzqouv8+eeffLfX3Nwc3t7eGp4RUdtISEjApEmTeM4LAJg6dSq+//57pKSkYNCgQTh79iw/JxKJMGPGDAQGBqokMZW2IrekatOmhDITB5ZHcXGxSjYAlJ048NWrV0r5/agMFhYWsLW1VctYlUVuMZWL9JkzZ+K7775Ta5y4sbExXF1dsX79ejDGkJGRUeM+NfV7npaWhuXLl2P37t2C76eNjQ1Wr16NcePGVfmzVffvuWJiOalUqtProQro/oqoLZBQVzNxcXH8h6Est/dnz55xy1avXr2UUiNYXZQl1BMSEnhby5Ytq73jK/8BsbKyqv4EtYjc3Fy4urryY39//zpV8oZQLYwxfPfdd1i0aBEvc2VqaorIyEgMHjwYc+fO5Rmj5QwZMgRhYWHo2bOnBmasWeRCXRvdnVWJoaEhGjVqpLJMx9VNHHjw4EEkJycDALp3744nT56o7LdQKpUiMzOT/y4vWbJEJeNUB8YY1qxZA19fX942ffp0bNy4USOhKP7+/rhx4wYuXrwIfX39am8UaOr3PCMjA6tWrcKmTZtQUlLC21u3bo2VK1fis88+q9b3TFO/55GRkcjJycHFixdr9PdB91cEocUwQq0EBgYyAAwA2759e6nzR48e5ecXLFiggRlWHxsbGwaAGRsbs6KiIiaRSFjDhg0ZANamTZtq91tcXMw/k4EDBypxxppBKpWySZMm8ffUr18/VlJSoulpEbWEp0+fMicnJ/79AsB69+7Nrly5wvz8/Fj9+vUF52xsbNihQ4eYVCrV9NQ1hpmZGQPAunTpoumpEIwJvr+ZmZkqHevzzz/nY02ZMkWlY1WFwsJCNnPmTMHf6sKFC5lEItH01GqEJn7Ps7Oz2ZIlS0r977O0tGShoaGssLCw2n3r+u853V8RhHajO+baWkJFieR0NT49JyeH11q2t7eHoaEhbt++jdzcXACok1a68ggICMDevXsBAGZmZti5cydlbCWUwh9//AEXFxeBm/CCBQvQpUsXjBo1ShCHa2FhgZUrV8LNza3O1/GuqxZ1bUUxVtbCwkJl45w/fx6bN28GIEs2FRISorKxqsLDhw/h7OyMS5cu8bbg4GAsWrRIg7PSPQoKChAeHo5169bhxYsXvL1Bgwbw9vaGl5dXjeOW6fdcu6D1IGobJNTVCGOMC3Vzc/Myy5fpasb3q1ev8udyt3fFNhLqMr7++musXLkSgCweOCoqCp06ddLspAidp6SkBP7+/li9ejV34W3atCk8PT2xd+9efPPNN/xaQ0NDeHh4wNfXV2WJ0HSJ4uJi7garTTHqdRl5HXVzc3OVbSLl5ORg6tSp/O/F398fLVu2VMlYVeH333/HjBkz8PjxYwCyzaMtW7Zg8uTJGp6Z7lBUVITNmzcjMDBQsDlpZGSEuXPnwsfHRyl5H+j3XLug9SBqIyTU1cidO3f4DUjfvn3LjO+SW9TNzMxgbW2t1vnVhIri03v06KHuKWkVjDGsWLECgYGBvC0kJASffPKJ5iZF1Aru3bsHFxcX/PXXX7ytf//+MDU1hY+Pj+BaZ2dnrFu3Tqf+t6gaxTJoJNS1A7lFXZU11N3d3Xk+mH79+sHd3V1lY1WGvLw8eHt7Y9OmTbytXbt2+OWXX2iju5JIpVLs2bMHy5cvF1Sx0NPTw/Tp07FixQq0bdu2xuPQ77l2QetB1GZIqKuRitzeMzIyeFKPt99+W6fqFpcl1MmiLiMnJwczZ87E/v37eZu/vz+8vLw0OCuiNhATE4NZs2Zxt04DAwO88847uHjxIs8QDcjKDYWFhfFyPsS/yN3eAXJ91waKi4v591lV2e6joqKwY8cOADKX9927d2ss/IMxhp9//hne3t64e/cubx85ciR27Nih0s2K2gJjDL/++it8fHyQmJgoODdu3DgEBgYqrYIO/Z5rF7QeRG2HhLoaqUioK7q961J8OvCvUDcwMEC3bt0A/GtRb9iwITp06KCpqWmUU6dOwdXVVXAD9s0332D+/PmamxSh8xQWFsLT0xMbN27kbebm5igqKsL58+d5m5WVFYKCguDi4qJTG3/qhCzq2sWzZ8/4c1WI1L/++guzZ8/mxz/88IPGfp8uX74Mb29vnD59mreZmpoiNDQUs2fPVmv5NV3lzJkzWLp0Kc6dOydoHz58ONasWaPUEEL6PdcuaD2IugAJdTVy4cIF/rxPnz6lzutqfHphYSGuX78OAOjatSvq1auH7Oxs3L9/H4AsuVxdEwm3b9+Gr68vT2oCyMIZdu3aBUdHRw3OjNB1kpKSMGnSJPzzzz+8zdTUFM+fP+fHJiYmWLJkCby9vUl8VgBZ1LULeXgYoHyL+t27dzF27FhestDNzQ1TpkxR6hgVwRjDqVOnEBwcjKNHjwrODR06FJs2baK42kpw5coV+Pj44MiRI4L2Pn36ICgoCEOHDlXaWPR7rl3QehB1CRLqakIsFuPKlSsAgM6dO5dZ01FXM74nJiZCIpEA+Nft/dq1a/x8XXF7Z4zhwoULiIiIwE8//SSo0/ree+8hKiqqznoWEDWHMYaNGzfC09MTr169AiCLvZRKpcjPzwcgS6AzY8YMBAYGolWrVpqcrs5AFnXtQjHjuzIt6tnZ2XB0dOQbAcOGDUN4eLjS+n8TjDEkJSXhl19+QVRUFG7fvi0436lTJ4SGhmL06NFkRa+AW7duwc/PD/v27RO029nZYfXq1RgzZoxSPkP6PdcuaD2IugoJdTWRkJDAd/HLcntnjHGLepMmTdCuXTu1zq8m1OVEcrm5ubhw4QKOHz+OX375Bbdu3RKct7S0RFBQEGbOnFnnvAoI5fH8+XN8/vnniImJEbQrxqEPGTIEYWFhdWZjTFkoWtRJqGseVVjUc3NzMWDAANy4cQMA0KhRI3z33XfIysoCY6zUA0CV2l8/V1RUhPv37+PWrVuIi4vD+fPnkZ6eXmpe7du3x6JFizBz5kwYGxsr5b3WVh4+fIiAgABs2bKFGwYAWcI9f39/TJ06tcZluOj3XLug9SAIEupqQzE+vV+/fqXO379/n9+gvP322zq1q16RUFemcLh9+7ZGsvOKxWJs3rwZLVq0wNChQ/H48WPcvn0b9+7d4zdpilhaWsLDwwOenp41rtNK1G3Onj2LKVOmlHmjDwA2NjaYO3cu7t27x2tCawoDAwOYmJigWbNmaNu2Lbp06QIbGxutrmOrKtf3ly9fori4WGn9lUf9+vVhYmKiU78Zb0IVFvXX/we/fPkSdnZ2Sum7OgwfPhyzZs3CuHHjYGBQd2/DKvN7/urVK1y+fFnguQfIvvcODg7o1q0b4uLiBB6JFUG/52VD91cEoYUwQi1MmTKFAWAAWFxcXKnz0dHR/Lyfn58GZlh9HBwcGAAmEolYXl4eY4yxnj17MgBMT0+PFRQU1Kj/4uJi/tlo80NPT48NHjyYbdu2rcbvmSBKSkqYv78/09PTK/P7ZmFhwcLDw5lYLGbt2rXT+Pe/vEeDBg3YiBEjWFhYGLtz546mP9ZSHDhwgM913bp1Sulz7ty5av2MjYyMWOvWrdmwYcOYu7s72717N3vw4IFS3ou6WblyJX9fv/76a437k0qlGv8bMDExYSNGjGDh4eHs3r17SviUdBf6PdcuaD0IQrupu1u5akaeSK5evXqwt7cvdV5XM74XFRXxcihvvfUWTE1NUVRUxBNd2dra1thKZWBggDFjxuDgwYM1nq8yMTMzQ5cuXeDg4ICBAwfigw8+oFI6hFJ48OABpk6dKsgGLcfQ0BAeHh7w9fWFubk5SkpKcO/ePQ3MsnLk5eXh+PHjOH78OLy8vPD+++9j3rx5GDt2rFZYE5VtUWeM4cCBAzXupyoUFRXhwYMHePDgAWJjYxEREQFA5s00fvx4uLi4oH379mqdU3VRtkVdJBLB29sboaGh6NChA7p16waRSMQf8mve9KjqNfr6+rCyskKHDh1gb2+Pbt26acV3XRug33PtgtaDILQb+uVQA0+fPkVaWhoAmWu4kZFRqWt0NZFccnIyj72Xu72npKRwl09lub3//PPPSEpKglgsVkp/1eH58+do3LgxGjdujGbNmsHMzKzWuJsS2sOhQ4fw6aef4uXLl6XOOTs7Y926dbC2ti7ztfb29tiyZYuqp1gmjDGUlJQgPz8fmZmZSEtLQ2JiIs6fP4+HDx/y606fPo3Tp0+jU6dOCAgIwKRJkzQaX6jsZHIikQjLly/H3LlzeVvz5s1V8n+dMYaCggI8f/4c6enpyM7OFpxPSEhAQkICli9fDicnJ3h4eGDo0KFa/X9LFTHqISEhCAkJUUpfRM0p6/dcIpHg999/x6ZNm5CRkcHb9fX1MXr0aMyaNQvNmjVT2hzo9/xf6P6KILQXEupq4NKlS/x5WYnkpFIpLl++DABo1aqVTmVrVld8ukgkQvfu3ZXSF0FoI69evYK7u3uZQtvBwQFhYWEYNGjQG/to2LCh1m30McaQkpKCn3/+Gdu3b+cJvW7fvg0XFxd8//33+OGHH9CtWzeNzE8VyeS++OILZGZmIiAgAIDMSuzh4YEPP/xQKf2XR1ZWFuLj4/Hnn3/i6NGjfANYKpXi4MGDOHjwIPr06YPg4GC8//77Kp1LdVFV1ndCe1D8PWeM4ZdffoGvry+Sk5MF102cOBEBAQGwsbHRxDTrDHR/RRDaC6VJVAOK9dPLSiSXmprKrWe6VD8dqNsZ3wlCWVy7dg2dOnUqJdJbtmyJ7du349KlSxWKdG1FJBKhS5cu8PHxwfXr13H8+HEMGTKEn//rr7/4RgQrI3GQqlFVMrmVK1dyq7pEIsGkSZNKleVSNk2aNMEHH3yAwMBAXLp0CXfv3sWqVatgZWXFr7l06RIGDx4MR0dH3Lx5U6XzqQ5yoW5sbIwGDRpoeDaEKjl58iT69esHZ2dngUgfNWoU4uPjsXfvXhLpBEHUaUioqwHFjO9lWdR1NT4dEAp1ufX86tWrpdoIgiiNVCrF3Llz0bNnTzx69Ii3Gxoawt/fH6mpqZg2bVqtKT0jEokwfPhwnDx5EkeOHOE34UVFRfD29sbEiRMFwlkdqKqOukgkwnfffYfRo0cDAF68eIGxY8fymvfqoF27dli2bBnu3LmDvXv3CrwWfv31V/To0QMhISGCbNqaRu763qRJE3J9raXExcVhxIgRGDZsmMDjcMCAATh9+jR+++039OrVS4MzJAiC0A5qx92fFiOVSvkPUfPmzdG2bdtS1yjGp+uSRV0ikXDreceOHdG4cWMwxnhb8+bN0bx5c81NkCC0mFOnTqF58+aIjIwUWJLHjh2Lu3fvYvny5bW6rveHH36Ia9euYeHChbwtOjoaw4cPLxVrrUpUZVEHAD09PezYsQNvvfUWACAxMRGff/65UseoDIaGhpg4cSISEhKwbds2tG7dGoAs3GLRokUYMGBAqRrFmoAxxi3q5PZe+0hJScH48ePRp08fnDhxgrd3794d//vf/3D27Fmd9RwiCIJQBSTUVcyNGze4W3u/fv3KtBAoWtQdHBzUNreacuPGDW6Nkru9P3jwgN9kkzWdIEqTnp6OUaNGYejQoYJ43FatWuHcuXM4cOCATuWpqAnGxsZYv349Dh06hIYNGwIAzp8/jw8++AAvXrxQyxxUZVGXY2Zmhl9++YW/vz179mDfvn1KH6cy6OvrY/r06UhJSYGnpyf/Pbp06RLefvtttWerf53c3FyenFRZieQIzXP//n24urqia9euiImJ4e0dO3bEzp07kZCQAEdHR/KgIAiCeA0S6iqmIrf3kpIS7j7eoUMHnbIilBWfTm7vBFE2eXl58PPzQ8eOHXHkyBHerqenhyVLluDBgwfo37+/BmeoOZycnHDmzBnugXP58mWMGTNGLVmIVZFM7nVsbW3x448/8uO5c+cKMlurG1NTU4SFheGvv/6Cra0tACAnJwfjxo3DwoULUVJSopF5USK52sXTp0/h6emJzp07Y9u2bZBKpQCAFi1aYMOGDbh+/TpcXFxqTWgPQRCEsqH/jiqmIqGekpLCbxR1OT6dEskRRNlIJBJs3boVHTt2xKpVqwQiqGPHjrhx4waCgoLqvDWpZ8+eOHnyJLeknjlzBu7u7iofV5Wu74pMnDgREydOBABkZ2fDzc1NZWNVlv79++Pvv//G5MmTeVtoaKjaY+nlqKI0G6F+cnJysGLFCnTs2BHffPMN95Jo3LgxgoKCkJqairlz55ZZqpYgCIL4FxLqKkae8V0kEpUZf66r8emAUKjLE7+oojQbQegqsbGx6N27N2bOnCkQIQCwcOFC3Lhxo9ya6HUROzs7HD58mAvmzZs3Y9euXSodU9Wu74ps2LCBew0cOnQIx44dU+l4laFBgwbYtWsXvvvuOxgaGgIADh8+jKFDh+LJkydqnQtZ1HWbV69eISwsDB07dkRAQADy8vIAyDbAlixZgrS0NCxZsgSmpqYanilBEIRuQEJdhRQUFCAxMREA0LVrVx6jqIhifLouCXWpVIorV64AAFq3bo1mzZoB+Nf1vX79+lRWhaizpKSkwMnJCcOHD8e1a9cE55o3b45Tp05h/fr1MDAwQElJiUbKkmkrffr0waZNm/ixu7u7St3EX7eoS6VS7qKrbCwtLREWFsaPvb29tSLjukgkgru7O44cOQIzMzMAsrj1AQMG4N69e2qbB1nUdZOSkhJs2bIFnTt3hre3N549ewYAMDAwwNy5c3H79m0EBQXB3NxcwzMlCILQLQw0PYHazOXLl/lNWFlu78C/FnWRSMTdx3WBtLQ05OTkAPjX7T03NxepqakAgG7dukFfX19j8yMITZCVlQV/f39ERkaWKcCcnJywdetWbi38559/MHDgQIjFYlhYWNTY/V3RIqnLTJ06FUeOHMGuXbvw4sULeHt7Y/fu3SoZS9GifvfuXbz77rsQi8WwtLRUWTiCoaEhiouLkZSUBHd3d0RGRqpknKoydOhQ/Pnnn/joo4/w8OFD3L59G0OGDMGpU6fQrl07lY9PFnXdQiqVIiYmBn5+frhx4wZvF4lEmDJlCvz9/dGpUycNzpAgCEK3IaGuQuRu74As4/vrFBUVcQu0ra0tt2ToAmXFp8u9BwByeyfqFmKxGBEREQgMDORVHhQxMjJCSEgI3N3dBeLvp59+4tcr1lGvLg8fPqxxH9rCt99+i6NHjyIrKwt79uzB/Pnzy93wrAlyi7qRkRG2b9/ONyCVsR6VYdu2bdiwYYPWJNSyt7fH+fPnMXz4cNy8eRN37txRm1gni7puwBjD8ePH4ePjg8uXLwvOOTk5YdWqVbC3t9fQ7AiCIGoPJNRVSEWJ5BITE3mSFUokRxC6B2MMBw4cwOLFi5GWllbmNba2tti3b1+ZfxOK1twmTZrA2Ni4WvOQC3QrK6tqvV4bsbS0hL+/P+bNmwcACAwMxOHDh5U+jlyo169fH3fv3uXtzZs3h4GB6n4is7KyIBaLIRaL8fvvv+Pjjz9W2VhVpU2bNjh16hSGDBkiEOt//fUXWrZsqbJxyaKu/Vy4cAFLly7FH3/8IWgfNGgQgoKCMGDAAM1MjCAIohZCQl2FyC3qDRo0gJ2dXanzuhqfDlQs1MmiTtR24uLi4OXlhbNnz5Z7jaurK8LDw8tNniTfqANkCbyqYzEuKSnhScBqm7iZNWsW1q5di/T0dPz666+4fv06unTpotQx5JslJiYmPB5bJBLh/v37Ks1K/b///Q+jR48GAHz99ddaJdQBoFWrVqXE+qhRo3D69Gk0atRIJWOSRV17SUpKgq+vLw4ePCho79WrF9asWYMPP/ywzleuIAiCUDba4WtXC3n48CG3cr3zzjtlxmsrZnzXJYs6Y4wL9WbNmqFVq1YAhDXUye2NqK2kp6dj2rRp6NOnj0CkK96kmpmZYc+ePdiyZcsbMxwXFxfz53KxTfyLkZERPD09+bFikjlloWhRlwv1Vq1aqbx01Mcff8wz/sfGxiI9PV2l41UHuVhv3749ANn/eGdnZ5XVt1e0qFtYWKhkDKJq3LlzB59++ins7e0FIr1z587Yu3cv/v77b4wcOZJEOkEQhAogoa4iKnJ7B/61qOvr6+uUBTo9PZ1nde3duzdEIhFKSkp4dutOnTqVmeGeIHSZvLw8LF++HLa2tti5cydvl5f0kmdu79u3L65cuYJJkyZV2CcJ9Yr57LPPuGjet2+f0rOkyy3q9evX5+XI1JE4TU9PD9OmTePH0dHRKh+zOrRq1QpHjhyBpaUlAODkyZOYMWOGSioVyC3q5ubm9PegYR4/fgwPDw/Y2tpix44dfL2trKywadMm/PPPP5g4caLW5FYgCIKojdB/WBWhmEiuLKFeUFCApKQkALLSbaqu36tM5GXZgH/d3m/duoVXr14BILd3onYhkUiwdetWdO7cGYGBgVzYNWzYEGZmZoLyXl999RX+/PNPdOzYsVJ9k1CvGAsLC4wcORIAkJGRIdgErSmMMb5+il5Pbdu2VdoYb+I///kPf/7rr7+qZczqYGtrK6hvv2fPHgQFBSl9HLlFvbaFcOgSL168gK+vLzp27IiIiAj+P8rCwgLr16/HrVu38Pnnn9P/K4IgCDVAQl1FVGRRv3r1KrcM1Yb4dEW3dxLqRG0hNjYWvXv3xsyZM5GZmQlAVhv4nXfeQV5eHs8Q3qJFCxw7dgxr166t0g2sYoy6ql2tdRl5LDcgWxNlIRaLy7QMq8OiDsgEsHysv/76i292aiP9+vXD3r17uYuzr68v/ve//ymt/+LiYrx48QIAxadrgoKCAgQHB6Njx45YvXo138AyNTWFn58f0tLSsHDhQr5ZQxAEQageEuoqoKSkhLu1t23btswsuboanw5Qxnei9pOSkgInJycMHz6ch3QAwIcffoiuXbsiLi6OC7yRI0fi6tWrGDFiRJXHIYt65Rg6dCh/ruitVFMUs+5LpVL+XF1CXSQSYciQIQBkmwaK3krayOjRo7Fq1SoAMm8EFxcXJCcnK6VveTgVQBZ1dVJcXIyNGzfC2toaX331FZ4/fw5AtnH45Zdf4vbt2wgICFBZAkGCIAiifEioq4CkpCS+G11W/XSgdmR8b9y4sSDJkByyqBO6SlZWFjw8PNCtWzdBKTAHBwcsX74c58+f5991Q0NDhIaG4tdff0WzZs2qNR4J9crRvn17nlxMcaOwpiiGLZSUlPDn6hLqwL+bnYCsZKe2s3TpUkycOBEAkJubi7FjxyI3N7fG/VLGd/UilUqxZ88e2NnZwc3NDRkZGQBkuRM+++wz3LhxA99++y2aN2+u4ZkSBEHUXUioq4DKJJKTW9SNjIzQvXt3tcxLGWRmZuLRo0cA/k0kB/xrUTc3N0fr1q01NT2CqBZisRihoaGwtrZGREQED0uxsrLCjz/+CHt7ewQEBHBXd2tra5w7dw5eXl41SqZEru+VQyQS8RKXmZmZyMvLU0q/ihZ1xbVQV4w6IMtRIufGjRtqG7e6iEQibNmyhW/I3rx5E1988UWNk8tRDXX1wBjDb7/9ht69e2PKlClITU3l58aOHYvExET897//5ZvwBEEQhOYgoa4CKhLqOTk5/IasR48eOnWDXlYiucePH/P43Z49e1KZFkJnYIwhJiYGdnZ2WLhwIV6+fAlAlsk9ICAA0dHRCAkJwbZt2/hrpk6divj4eKWErJBFvfIoWrkfPHiglD4VLeqKol2dFvU2bdrw53KrprZjamqK6OhoXt1j165dgr+R6kAWddVz9uxZDBo0CB9//LHAC27o0KG4cOECDhw4wDfECIIgCM1DQl0FyGMoDQwMBG6NcuLj47n1oTbEp5PbO6GLxMXFYdCgQRg/fjzS0tIAyKyFrq6uuHnzJho1aoTBgwfzTTVTU1Ns374dO3bsUFr5QRLqlUdeHgwAj6OtDleuXMHatWuRnZ0tEOpyK725ublay0sqhk0oWpW1HWtra2zevJkfu7u7459//ql2f2RRVx1Xr17Fxx9/jPfeew9nz57l7W+//TaOHz+O2NjYcr3/CIIgCM1hoOkJ1DZevnyJlJQUADJreVkZUmtDfDpAieQI3SQ9PR0+Pj6CWugAMGTIEISFhaF169ZwdXUVZLTu3bs39u7di86dOyt1Loru1iTU34zi/9LRo0fD2Ni4Wv1kZmZCIpHgxx9/xMaNG3m7XKir0+0dEIY8KH4fdIH//Oc/OHr0KLZu3YrCwkK88847PJdAVVGMc9eFEABdIDU1FcuXL8eePXsE7W+99RZWr16NsWPHkgccQRCEFkNCXckoZoOuKD4d0F2LuqmpKRctikKdLOqEtpKXl4fg4GCEhIQI3JxtbGwQEhICR0dHnD59Gh9//DHPwwAAXl5eCAoKUkmIityirqenJ6jjTZRGMQZaGZbntLQ0/Pzzz6X6V6fb++vUNM5b3RQWFuLSpUuC44cPH9a432PHjmHNmjU17qeu8ujRIwQGBmLz5s2CJIlt2rSBv78/pk2bBgMDuv0jCILQdug/tZJRLB1UUcZ3ExMTdOnSRS3zUgbZ2dm4e/cuAJkglyfRUsyCrUvvh6gbSCQSREVFYdmyZTyXAgBYWFhg5cqVcHNzg0gkwvLly7F69Woulpo2bYqoqCiMGjVKZXOTC3WypleMPJEfIHMXr+5nJhaLudCPiooqdV7dQl3xfelaCawFCxYgKSkJAGBsbAxLS8saWWglEgkaNWqEJUuWKGuKdYrs7GysW7cO3333nWAzskmTJli2bBnc3NxQr149Dc6QIAiCqAok1JVMRYnknj17xuNhe/XqpVO72mUlkissLOSu/nZ2djqVGI+o/cTGxsLLy0tQC93Q0BAeHh7w9fWFubk57t27BxcXF/z111/8muHDh2P79u1o2bKlSudHQr3yKG6yXLp0qUaCetq0adi5cyfy8/NLnVO3UH/8+DF/Xl23cU3w3//+F5s2bQIgC0v4+++/KRGZhsjPz8e3336L4OBgnhATABo2bIiFCxfC09NTrXkXCIIgCOVAyeSUCGOMC3Vzc/My41kvX77Mn9eG+PR//vkHUqkUALm9E9pDSkoKnJycMHz4cIFId3Z2RnJyMkJDQ2Fubo6YmBj07NmTi3QDAwOsXbsWR48eVblIB/6NSaYNroqRb3AaGBjAysqqRn2tX78eZmZmZZ5Td4z67du3+fNOnTqpdezq8vfff8PNzY0fb9iwgUS6BigqKkJERAQ6deqEZcuWcZFubGwMLy8vpKWlYfny5STSCYIgdBQS6krkzp07vMRM3759y3QBrA3x6UDZieRIqBOaJisrCx4eHujWrRsOHz7M2x0cHHD69GnExMTA2toahYWFcHNzw/jx4/HixQsAQPv27fHnn3/iq6++qlFt9KpAFvXKUVRUhOvXrwMAOnfuXGNPpBYtWiAgIKDMc+q2qCcmJvLnyk5WqAqePn0KZ2dniMViAICbmxtmzJih4VnVLSQSCXbs2IG33noLHh4e3CtDT08Ps2bNwq1btxAaGkrZ8wmCIHQcEupKpCK3d6B2ZHw3NjbmseiU8Z3QBsRiMUJDQ2FtbY2IiAhIJBIAgJWVFbZv345Lly5h0KBBAICkpCS88847gozfEydOREJCQrl5JVQFCfXKcfnyZf5ZOTg4KKXPefPmoXnz5qXa1S3UFfOaaPtvQlFRESZMmID09HQAQP/+/fHtt99qeFZ1B8YYDh48iB49euDTTz/FnTt3+LkJEyYgOTkZP/74I9q0aaPBWRIEQRDKgoS6EqmMUJdb1M3MzGBtba2WeSmDnJwc3Lx5EwBgb2/PhYViDXUS6oS6YYwhJiYGdnZ2WLhwIXf9NDExQUBAAG7evIlp06ZBT08PjDH88MMPeOedd3i9ZxMTE2zZsgV79uzRSCIvcn2vHMeOHePPBw8erJQ+DQwM8MEHHwjajIyMBHXNVY1YLMaff/4JQJYgr2PHjmobu6owxjBz5kycPn0agMwrYf/+/fTdVRN//PEHBgwYgE8++URQr/7DDz/E33//jZ9++gm2trYanCFBEAShbHQnk5kOoGgZ6dOnT6nzGRkZvHTN22+/rTb3WmWgKMjlbu9SqZS3t2nTRqcSIRG6T1xcHLy8vHD27FneJhKJMGPGDAQGBqJVq1a8/fnz5/j8888RExPD2+zt7bF3716NViogi3rlOHDgAH8+YsQIpfX7umtwvXr11FpX+vTp07x++6hRo7S6pvXy5cuxc+dOALLP6eeffxb8jRGq4fLly/Dx8RFsVgGyqjJBQUFK27giCIIgtA/dUYpajlgs5lnRO3fuDEtLy1LXKLq914b49Dt37iA3NxcAxacT6iM9PR3Tpk1Dnz59BCJ9yJAhiI+Px5YtWwQC4uzZs+jRo4dApHt4eODixYsaLydIQr1iEhISeELAPn36KDXZW0FBgeA4JydHsOGqanbv3s2fOzo6qm3cqvLjjz9i1apVAGSbYbt371Z7mEhd48aNG/jPf/6Dt99+WyDSu3XrhoMHD+LcuXMk0gmCIGo5JNSVREJCAndjrc3x6cC/Ql3Ryk5CnVA1eXl5WL58OWxtbbllDwBsbGxw6NAhxMbGCr6HEokEAQEBeP/993lMrYWFBQ4ePIjw8HCtqCdMru8Vs2HDBv58+vTpSu1bsda0nHnz5vEcB6okNzcX0dHRAGT10z/++GOVj1kddu7ciTlz5vDjb775BmPHjtXgjGo36enpmDVrFrp27cq/H4As2eX27duRkJCA0aNHa7X3BUEQBKEcSKgrCcX49PIsDbUh47uBgQG6desGgBLJEepBIpFg69at6Ny5MwIDA7m4srCwQHh4OJKSkuDk5CS4cX3w4AGGDRuGFStW8PKB77//Pq5evYrRo0dr5H28DmOMLOoVkJ6ejqioKACymtAuLi5K7f91izog+1/3448/KnWcsvjhhx/4+JMnT0b9+vVVPmZViY6OxmeffQbGGADA29sbX375pYZnVTvJysqCt7c3OnfujC1btvDNoubNm+O7777DjRs3MG3aNOjr62t4pgRBEIS6oBh1JVFRIjnGGLeoN2nSRO2ZhWtCYWEhL43UtWtXbokkizqhamJjY+Hl5SWohW5oaAgPDw/4+vrC3Ny81GsOHTqEGTNmIDs7G4CsZNHKlSvh4+OjVTe5ilbbS5cuoVWrVjXOW5GVlVXTaWkVfn5+fDPD3d293Nrn1aUsizogs6oHBASoLI8IYwyZmZn8eMGCBSoZpybExMRgypQpfKNr7ty5WL9+vYZnVfvIzc1FWFgYQkNDeSgZIPOyWLx4MebPnw9TU1MNzpAgCILQGIxQCh07dmQAWL169ZhYLC51/u7duwwAA8BGjhypgRlWn4sXL/K5z5gxg7e3bduWAWANGzZkEolEgzMkahvXr19njo6O/Hsnfzg7O7Nbt26V+ZrCwkLm7u4uuL5t27bs7Nmzap595Xj+/Hmp91fTR4MGDTT9tpTGmTNn+PsyNzdnWVlZSh9jyJAhgs9vxIgRSl+Tih4WFhZKf181ZdOmTUxPT4/PcebMmfQ/XskUFhayr7/+mjVp0kTwfahXrx5bvHgxe/bsmaanSBAEQWgYsqgrgadPnyItLQ2ALH67rHhTRbf32hCfnp2djfv37wOQZc/WpQz2hPaSlZUFf39/REZGCizODg4OCAsL47XQXyclJQWTJk0SeHk4Oztj8+bNZVrdtQFF66Senh5atGhR7bhTeTUJKysrpcxN0+Tm5sLV1ZUf+/v7l5mgs6a87voeFhaGZcuW4eLFizAwUM3Po1QqRWZmJncnX7JkiUrGqQ6MMaxZswa+vr68bfr06di4cSP9j1cSJSUl2LFjB1auXMl/QwFZWNmsWbPg5+dH2fQJgiAIAOT6rhQuXbrEn1cmkZyuxqcD/wp1RVdkcnsnaopYLEZERAQCAwN5LXRAJjyDgoLg4uJSplBgjGHr1q348ssvueiqV68evvnmG8yePVtrEy6lpqYiNDSUH7/77ru8PnVVKSkp4THur5cb00UYY5g9ezZSU1MByHJ+zJ07VyVjKbq+i0Qi2NjY4ODBgyoZS87s2bN5DPyUKVOwaNEilY5XWV69egV3d3ds2bKFty1cuBDr1q0jka4EGGM4cOAAfH19kZKSIjg3efJkBAQEwNraWkOzIwiCILQREupKQLGcT21OJCcSiXjSOEokRygD+c3r4sWLuVcKAJiYmGDJkiXw9vaGiYlJma99+fIl5syZg3379vG2rl27Yu/evTzhoTbCGMO8efMgFot5myqsxbpKQEAA9u7dCwAwMzPDzp07VZZbQNGi3qpVK5Vn3z9//jw2b94MQJYcLyQkRKXjVZaHDx/C2dlZsOkcHBysNZsIus6JEyfg4+MjuA8AgI8//hirV6+m31CCIAiiTEioK4GKEslJpVJcvnwZgOxmUJfc2oqKipCYmAgAeOutt3hSG0WhThZ1ojrExcXBy8tLUAtdJBJhxowZCAwMfOPfycWLFzF58mTcuXOHt82ZMwdhYWHlCnttITo6WlAXGaDybHK+/vprrFy5EoDsuxAVFYVOnTqpbDxFoa7qBJ85OTmYOnUqd3n39/dHy5YtVTpmZfj9998xY8YMPH78GABQv359bNmyBZMnT9bwzHSfS5cuYenSpTh58qSg/d1330VQUBDeffddDc2MIAiC0AXIn62GSKVSboVo3rw52rZtW+qa1NRU7s6ra/HpycnJvNaz3O0d+Dfju56enlZbLwntIz09HdOmTUOfPn0EIn3IkCGIj4/Hli1byhXpUqkUa9euxbvvvstFeuPGjbF//3788MMPWi/Sc3JyyszwXdfLszHGsHz5cnh5efG2kJAQfPLJJyodNz8/nz8v63+3MnF3d+deI/369YO7u7tKx6uIvLw8zJkzBx999BEX6e3atcO5c+dIpNeQ5ORkODs7o2/fvgKR3qNHD/z66684c+YMiXSCIAiiQsiiXkNu3LjBRXi/fv3KjImtbfHpRUVF+OeffwAAtra2Wln/l9A+8vLyEBwcjJCQEEFssI2NDUJCQuDo6PjGmPKMjAx8+umnOHHiBG8bOHAgdu3apTPlDv38/JCRkQFAtjFx6tQpAHVbqOfk5GDmzJnYv38/b/P39xeIdlWhLot6VFQUduzYAUDm8r57926NrTljDD///DO8vb1x9+5d3j5y5Ejs2LGjVuQ50BR3797FypUrsWPHDl7WDgA6deqEwMBATJw4keL9CYIgiEpDvxg1pCK3d6D2ZXxPSUnhtY3J7Z2oCIlEgq1bt6Jz584IDAzkIt3CwgLh4eFISkqCk5PTG0X677//jh49enCRLhKJ4Ofnhz/++ENnRHp8fDwiIiIAyNyLFeN/66pQP3XqFHr06CEQ6d988w2WL1+u8rGlUin/PwaoTqj/9ddfmD17Nj/+4Ycf0KFDB5WMVRGXL1/GkCFDMG7cOC7STU1N8cMPP+C3334jkV5Nnjx5gvnz58PGxgZRUVFcpLds2RI//PADrl+/jsmTJ5NIJwiCIKoEWdRrSGWEuqJF3cHBQeVzUiaKQl0uyik+nagssbGx8PLyElQJMDQ0hIeHB3x9fSssnSYWi+Hj44OwsDDe1qpVK+zatQuDBw9W1bSVjkQigZubG7+BX7FiBZo2bcrP17UY9du3b8PX15cnjQNkieN27doFR0dHtcxB0asDUI1Qv3v3LsaOHcvDh9zc3DBlyhSlj/MmGGM4deoUgoODcfToUcG5oUOHYtOmTSrNA1CbefnyJUJDQxEWFiYIozA3N8eSJUvg7u6u9eE4BEEQhPZCQr2GyDO+i0SiMq3lJSUlXOx26NBBpywWEomEi/KOHTuicePGACjjO1ExKSkpWLRoEQ4fPixod3Z2xrp16ypVhujWrVuYNGmSYLPIyckJW7du1am/IwDYuHEj96yxs7ODp6cnTzAJ1A2LOmMMFy5cQEREBH766SeUlJTwc++99x6ioqLUaml+XagrO0Y9Ozsbjo6OePr0KQBg2LBhCA8PV+oY5cEYQ1JSEn755RdERUXh9u3bgvOdOnVCaGgoRo8erbUlDLWZwsJCbNiwAUFBQcjOzubtJiYm8PT0xMKFC/nvJUEQBEFUFxLqNaCgoIBnRO/atSsaNmxY6pqUlBQeB6lr8ek3btzgN7NlJZIDyKJOCMnKyoK/vz8iIyMhkUh4u4ODA8LCwjBo0KBK9bNjxw7MnTsXeXl5AGQW55CQELi7u+ucsMjMzISPjw8/joyMhJGRkcDturYK9dzcXFy4cAHHjx/HL7/8glu3bgnOW1paIigoCDNnzlS7W7BifDqgXIt6bm4uBgwYgBs3bgAAGjVqhO+++w5ZWVlgjJV6AKhS++vnioqKcP/+fdy6dQtxcXE4f/480tPTS82rffv2WLRoEWbOnAljY2Olvd+6QklJCbZt2wZ/f388fPiQtxsaGmLOnDlYtmwZWrRoocEZEgRBELUJEuo14PLly1yM1JX4dMYYt6g3b94czZs318TUCC1DLBYjIiICgYGBPLkiAFhZWSEoKAguLi6VEmK5ubmYO3cudu7cydtsbW2xb98+nfXe8Pb25p/J9OnT+WaF3B0aUJ7r+5UrV2Bvb6+UvqqCRCJBcnIyTExM0L59exQXF+Ply5d4+vQpF5WKWFpawsPDA56enjAzM1P7fAGhUDcyMipzo7W6vP6eXr58CTs7O6X1X1WGDx+OWbNmYdy4cTAwoJ/9qiKVShEdHQ0/Pz/BZpNIJMLUqVPh7++vsbwDBEEQRO2FfrFrgNztHZBlfC8Lxfj02iDUHzx4wF39yJpOMMZw4MABLF68mJeeAmQuoEuWLIG3t3elYzQvX76MSZMmITU1lbe5uroiPDwcpqamSp+7OoiNjcXu3bsByJLnBQcH83PKsqgrCmFFLx9NUFBQgOTk5DLPiUQi9O3bF3PmzMHEiRM1Xi1C7q0BQKkivayNCXVjYmKCgQMHwsnJCWPGjFF56bnaCmMMR48ehY+PD65cuSI4N2bMGKxatYrKkxIEQRAqg4R6DahKxneRSCRwH9cFFIV6r169AJDbO/EvcXFx8PLyEtRCF4lEmDFjBgIDA8uthf46UqkUX3/9NZYuXcrFq5mZGTZu3IhJkyapZO7qQCwWY+7cufx43bp1ggRyyhLquhIKII9RNzY2hqmpKcaOHatR666ia3ijRo2U1q9IJIK3tzdCQ0PRoUMHdOvWDSKRiD/k17zpUdVr9PX1YWVlhQ4dOsDe3h7dunUjy3kNOXfuHJYuXYozZ84I2gcPHoygoKByN+cJgiAIQlnQL3kNkFvUGzRoUKZbY1FRERe2tra2GnPxrA5SqZRbEFq3bo1mzZoBoERyhEzg+Pj4CNzTAVld8LCwsCpt4Dx58gSfffYZjhw5wtv69u2L3bt3o2PHjsqaskYIDg7GzZs3AQADBgyAq6ur4LwqXN+tra3h5+enlL6qSk5ODurXrw99fX0UFRUhIyMDSUlJOH/+vCCe9/Tp0zh9+jQ6deqEgIAATJo0SSNlq+7du8efW1paKrXvkJAQhISEKLVPQj1cu3YNy5YtK5UI08HBAWvWrMGIESN0ZnOMIAiC0G1IqFeThw8f8pvPd955B/r6+qWuSUxM5DfjupZILi0tDTk5OQCEieSoNFvdJS8vD8HBwQgJCRFkzLaxsUFISAgcHR2rdAN74sQJTJs2DZmZmbztq6++QmBgoM4nV0tNTcXq1asBAPr6+oiMjCwlRlWRTK558+b49NNPldKXsmCMISUlBT///DO2b9/OE6zdvn0bLi4u+P777/HDDz+o3YX4wYMH/LmuVREglE9aWhqWL1+O3bt3C8IXbGxssHr1aowbN44EOkEQBKFW1G/GqCVUtX56bYhPB/51fa9fvz5sbGzUPi9C/UgkEmzduhWdO3dGYGAgF+kWFhYIDw9HUlISnJycKn0TW1xcjCVLluCDDz7gIr1FixY4duwY1q5dq/MinTGGefPmQSwWAwA8PT3LTPBWF7K+AzL37C5dusDHxwfXr1/H8ePHMWTIEH7+r7/+4lUB1BnfrWjll3sMEXWPjIwMzJs3D7a2tti1axf/DrZu3RqbN2/GP//8g/Hjx5NIJwiCINQOCfVqophIrjIZ33XNol6WUM/NzeWJvrp161amFwFRu4iNjUXv3r0xc+ZMLqoNDQ3h5eWF1NRUeHh4VElk3rlzB++99x7WrVvHb4hHjhyJq1evYsSIESp5D+omOjoax44dAwC0adMGK1asKPO6uiLUFRGJRBg+fDhOnjyJI0eO8M2+oqIieHt7Y+LEiaXKpqkKRU+Oli1bqmVMQnt4/vw5li5dik6dOuH7779HSUkJAFkYRGhoKG7duoWZM2dSrD9BEAShMUioV5OqWNT19fV1zk28LKGumE1a194PUTVSUlLg5OSE4cOH49q1a7zd2dkZycnJCA0Nhbm5eZX63Lt3L3r27Mn/dgwNDREaGopff/211lg0c3JysGDBAn4cHh6OBg0alHmtKmLUdYkPP/wQ165dw8KFC3lbdHQ0hg8fzitLqJInT57w51ZWViofj9AOCgoKsHbtWnTs2BFr167lHkINGjTAihUrkJaWBi8vL9SrV0/DMyUIgiDqOiTUq0FJSQkX4W3bti3TGlNQUICkpCQAQNeuXStdokobYIxxod6sWTOevZsSydV+srKy4OHhgW7dugmSKTk4OOD06dOIiYmBtbV1lfrMz8/HzJkzMXnyZJ73wNraGufOnYOXl5dGEompCj8/P2RkZAAAL41VHnXRov46xsbGWL9+PQ4dOsRLpJ0/fx4ffPABXrx4odKxnz17xp+3aNFCpWMRmqeoqAjff/89OnXqhKVLl/Lvl5GRERYsWIC0tDSsXLlSp5K+EgRBELWb2nOHrEaSkpK4e2Z5JVquXr0KiUQCQPfi09PT0/lNbO/evXlsHiWSq72IxWKEhobC2toaERER/LtrZWWF7du349KlSxg0aFCV+01ISICDgwO2bt3K26ZOnYr4+HidCwepiPj4eERERACQ5XAIDw9/Y1wrCfV/cXJywpkzZ9C8eXMAwOXLlzFmzBge569sGGN4/vw5PzY1NVXJOITmkUql2LVrF7p06YJ58+bxkAc9PT24urri1q1b+PrrrwWlEwmCIAhCGyChXg2qUj8d0L34dHlZNqDsRHIAykyORegejDHExMTAzs4OCxcuxMuXLwEAJiYmCAgIwM2bNzFt2rQqW70ZYwgPD0ffvn15lm9TU1Ns374dO3bs4NbT2oJEIoGbmxukUikAYMWKFWjfvv0bX1PXXd9fp2fPnjh58iQXTGfOnIG7u7tKxnr+/Lng869fv75KxiE0B2MMhw8fRs+ePTF16lSkpaXxc+PGjUNSUhK2bNmCtm3banCWBEEQBFE+JNSrQV3M+F5SUsJjlTt16lTrhFZdJC4uDoMGDcL48eP5TaxIJOJWJj8/v2qFbGRlZWHMmDGYP38+F0O9e/fGlStXMG3aNKW+B21h48aNfHPOzs4Onp6eFb6GLOqlsbOzw+HDh7lw3rx5M3bt2qX0ce7fvy841qXQJKJizpw5g3fffRdOTk6C3CrDhw/HpUuXsH//fnTp0kWDMyQIgiCIiiGhXg3kGd8NDAwEFmdF5DftRkZG6N69u9rmpgzKEuq3bt3Cq1evAJDbu66Tnp6OadOmoU+fPjh79ixvHzJkCOLj47Flyxael6Cq/PHHH+jRowf+97//8TYvLy+cP38enTt3rvHctZHMzEz4+Pjw48jIyEpZyBWFOmWW/pc+ffpg06ZN/Njd3Z3H/SuLe/fuCY7Jol47uHLlCkaNGoX3338f586d4+19+vRBbGwsjh8/rnMb5wRBEETdhe4Oq8jLly+RkpICQJZQrawbvJycHO7u26NHD51za5UL9caNG3P3XUW3dxLqukleXh6Cg4MREhLCMx0DgI2NDUJCQuDo6FjtWsElJSXw9/fH6tWredm1pk2bIioqCqNGjVLK/LUVb29vHjIwffr0SsfyK7peOzo6okmTJjWu1ZyVlVWj12sLU6dOxZEjR7Br1y68ePEC3t7e2L17t9L6f12ok0Vdt5F7AO3bt0/Qbmdnh9WrV2PMmDFUB50gCILQOUioV5G4uDguRMpze4+Pj+fX6Fp8emZmJh49egSg/ERylPFdt5BIJIiKisKyZcsEtaMtLCywcuVKuLm51cj1+t69e3BxccFff/3F24YPH47t27fX+vrUsbGxXEBaWFggODi40q9VtKgXFRXxv7ua8PDhwxr3oS18++23OHr0KLKysrBnzx7Mnz+/3P+5VYWEeu3g4cOHCAgIwJYtW3gCTABo164d/P39MXXqVOjr62twhgRBEARRfUioVxG52ztQfsZ3XY5Pr0wiObKo6w6xsbHw8vIS1EI3NDSEh4cHfH19q1wL/XViYmIwa9YsXurIwMAAq1atwqJFi2pV2bWyEIvFmDt3Lj9et25dlTJHKwp1AGjSpAmMjY2rNRe5QK9N9cAtLS3h7++PefPmAQACAwMFJQNrwusx6uT6rls8e/YMa9euRUREBA/JAmRePL6+vpgzZ061/5YIgiAIQlsgoV5FanvG97Li04F/Lerm5uZo3bq1uqdFVJGUlBQsWrSolLBxdnbGunXrqlwL/XUKCwvh6emJjRs38rb27dtjz5495W5g1TaCg4Nx8+ZNAMCAAQPg6upapde/LtR/++23am3slZSUcI+IJk2aVPn12sysWbOwdu1apKen49dff8X169eVkgSMLOq6SV5eHr755husX78eOTk5vN3MzAyLFi3CggUL0KBBAw3OkCAIgiCUR+02eSkZxhgX6ubm5uUmx5Jb1E1MTHQus2xZQv3x48fcZbpnz54U66fFZGVlwcPDA926dROIdAcHB5w+fRoxMTE1FulJSUl45513BCJ94sSJSEhIqDMiPTU1FatXrwYA6OvrIzIyssoeBIox6gCVaCsLIyMjQQZ9xSRzNUFRqOvp6VHWfS1HLBYjPDwcnTp1gp+fHxfp9erVw8KFC5GWlgZfX18S6QRBEEStgoR6Fbhz5w6ePn0KQGZNL0uwPnv2jJe66tWrl85lc5YLdVNTU74RQW7v2o9YLEZoaCisra0RERHB4zWtrKywfft2XLp0qdJJzsqDMYYffvgB77zzDv755x8Ass2oLVu2YM+ePWjUqFGN34cuwBjDvHnzIBaLAQCenp6wt7evcj+vW9RJqJfNZ599xj+bffv2CWKRq0NhYSGePHnCj01MTGjzUUuR59ewtbXF/Pnz+brp6+tj9uzZSE1Nxfr162FpaanhmRIEQRCE8iGhXgUq4/Z++fJl/lzX4tOzs7Nx9+5dADJBLrcQUiI57YUxhpiYGNjZ2WHhwoU8+7iJiQkCAgJw8+ZNTJs2rcbx4s+fP8eECRPwxRdf8JhQe3t7/P3333B1da1TQic6OhrHjh0DALRp0wYrVqyoVj8k1CuHhYUFRo4cCQDIyMgQ/B+uDunp6YJjcnvXPhhj+Pnnn2Fvb4/p06cLPCAmTpyI5ORkbNy4sVblZCAIgiCI1yGhXgVqe3x6eYnkFIU6WdS1h7i4OAwaNAjjx4/nXhwikQiurq68XJEyRMjZs2fRo0cPxMTE8DYPDw9cvHhR50I7akpOTg4WLFjAj8PDw6vtbkuu75Vn9OjR/HlsbGyN+qIa6trNyZMn0a9fPzg7OyM5OZm3jxo1CvHx8di7dy9sbGw0OEOCIAiCUA8k1KuAYsb3Pn36lHmNLmd8Ly+RnNz13dDQsM4JM20kPT0d06ZNQ58+fXD27FnePmTIEMTHx2PLli1o1apVjceRSCQICAjA+++/z62QFhYWOHjwIMLDw1GvXr0aj6Fr+Pn5ISMjAwDg5OSEMWPGVLsvsqhXnqFDh/Lniv+HqwMlktNO4uLiMGLECAwbNgyXLl3i7QMGDMDp06fx22+/oVevXhqcIUEQBEGoF90KoNYgYrGYW5w7d+5cbkyc3KJuZmZW46Rd6qYsoV5YWIiUlBQAgJ2dHYkJDZKXl4fg4GCEhISgsLCQt9vY2CAkJASOjo5Kc0F/8OABpk6ditOnT/O2999/Hzt37qyzWf/j4+MREREBQGaFDQ8Pr9Hn/bpQp3JS5dO+fXtYWFggOztb8H+qOlBpNu0iJSUFvr6+Ao8dAOjevTvWrFmDjz/+uE6F1hAEQRCEHLKoV5KEhATuqlqe23tGRgavZ/z222/rXB1p+Q2wsbExt5z/888/kEqlAMjtXVNIJBJs3boVnTt3RmBgIBfpFhYWCA8PR1JSEpycnJR2M3vo0CH06NGDi3Q9PT0EBAQgNja2zop0iUQCNzc3/rewYsUKtG/fvkZ9kkW98ohEItjZ2QEAMjMzkZeXV+2+yKKuHdy/fx+urq7o2rWrQKR37NgRO3fuREJCglI3HwmCIAhC19AtJalBFOPTyytBpej2rmvx6Tk5ObwmtL29PS9XRPHpmiU2Nha9e/fGzJkzeYk8Q0NDeHl5ITU1FR4eHkorLfXq1St4eHhgzJgxyM7OBgC0bdsWZ86cgZ+fH/T19ZUyji6yceNG7i1jZ2cnKBlWXShGvWq0a9eOP3/w4EG1+yGhrlmePn0KT09PdO7cGdu2beObXy1atMCGDRtw/fp1uLi46NxGN0EQBEEoG3J9rySVSSSny/HpiiXYykskRxnf1UdKSgoWLVokqIUOAM7Ozli3bp3SwypSUlIwadIkwffA2dkZmzdvhrm5uVLH0jUyMzPh4+PDjyMjI5Uiql+3qNfljZDKoBhu9Pz582r3Q8nkNENOTg5CQ0MRFhYm8Iho3LgxvvrqK3h4eMDU1FSDMyQIgiAI7YKEeiWRJzCqV69euTWTdTnje0WJ5AAS6uogKysL/v7+iIyMFNSLdnBwQFhYWI1rob8OYwxbt27Fl19+iYKCAgCy7/g333yD2bNnk9spAG9vb172bvr06UpbA0WhbmxsTJ91BSgK6tGjR1crpp8xhkePHgnayKKuWl69eoXvv/8ea9aswbNnz3h7/fr1MX/+fCxevLjObwYSBEEQRFmQUK8ET58+5eWvevfuXaY1jTHGLepNmjQRuGnqAmUJdalUyoV6mzZtYGFhoZG51QXEYjEiIiIQGBjIRSEAWFlZISgoSCWuoC9fvsScOXOwb98+3ta1a1fs3bsX3bp1U+pYukpsbCx2794NQJYTIDg4WGl9K7q+k9t7xTDG+POsrCyl9UsWddVQUlKCqKgorFy5UhCqYGBggNmzZ8PX1xctW7bU4AwJgiAIQrshoV4JFEvFlOf2fv/+fTx9+hSAzJqua9YxuVA3MDDgIu3OnTvIzc0FQPHpqoIxhgMHDmDx4sV8MwiQWfmWLFkCb29vlVj8Ll68iMmTJ+POnTu8bc6cOQgLCyML4/8jFosxd+5cfrxu3To0bdpUaf0rWtRJqFdMTk4Of96sWbNq52ZgjEFPT4+LR/q+KxepVIqYmBj4+fnhxo0bvF0kEmHKlCnw9/dHp06dNDhDgiAIgtANSKhXAsW6veUlklN0e9e1+PTCwkJcv34dgMyiKq+Prej2TkJd+cTFxcHLy0tQC10kEmHGjBkIDAxUSi3015FKpQgODoafnx9KSkoAyGJEN2/ejHHjxil9PF0mODiYJ1gcMGAAXF1dldr/667vxJuRJ1MEZJunNfFaOnPmDN5//30AJNSVBWMMx48fh4+PDy5fviw45+TkhFWrVpUbNkYQBEEQRGlIqFeCqiaS07X49MTERB4PTYnkVE96ejp8fHywc+dOQfuQIUMQFhamsk2RjIwMfPrppzhx4gRvGzhwIHbt2qVzoRqqJjU1FatXrwYgS/IWGRmp9NADcn2vGnKPEwMDA1hZWdWoL3k+BoBc35XBhQsXsHTpUvzxxx+C9kGDBiEoKAgDBgzQzMQIgiAIQoeh+icVIJVKuet78+bN0bZt2zKvq+2J5MiiXnPy8vKwfPly2NraCkS6jY0NDh06hNjYWJV9zr///jt69OjBRbpIJIKfnx/++OMPEumvwRjDvHnzIBaLAQCenp4qsQSS63vlKSoq4l4/nTt3hoFBzfaYCwsL+XOyqFefpKQkfPLJJ+jfv79ApPfq1Qu///47/vjjDxLpBEEQBFFNyKJeATdu3ODJvfr161dm7LlUKuWufq1atVKJy7IqKU+oyy3qDRs2RIcOHdQ9rVqDRCJBVFQUli1bJnDftbCwwMqVK+Hm5qa0WuivIxaL4ePjg7CwMN7WqlUr7Nq1C4MHD1bJmLpOdHQ0jh07BkCWRHHFihUqGYeEeuW5fPky/7wcHBxq3B9Z1GvGnTt3sGLFCuzcuVOQ5K9z584IDAzEhAkTqA46QRAEQdQQEuoVUBm399TUVC7mdS0+HfhXqItEIu7inp2djfv37wMA7O3t6aarmsTGxsLLywvXrl3jbYaGhvDw8ICvr69KyxLdunULkyZNEmzEODk5YevWrWjSpInKxtVlcnJysGDBAn4cHh6OBg0aqGQsEuqVR75xAkApG0xkUa8ejx8/xqpVq7Bx40bB99fKygorVqzA9OnTVbbpSBAEQRB1DRLqFVDb49OLioqQmJgIAHjrrbdgamoKAAJhSW7vVSclJQWLFi3C4cOHBe3Ozs5Yt24drK2tVTr+jh07MHfuXOTl5QGQCcGQkBC4u7vrXEUCdeLn54eMjAwAsk2NMWPGqGwsilGvPAcOHODPR4wYUeP+FC3qJNQr5sWLFwgJCcHXX38t+OwsLCywdOlSzJs3jzwTCIIgCELJkFCvAHnGd5FIVK61XJczvicnJ3PBQInkak5WVhb8/f0RGRnJE/QBMnfdsLAwDBo0SKXj5+bmYu7cuYIYeFtbW+zbt4/WsQLi4+MREREBQOYOHR4ertJNDbKoV46EhAS+cdinT59y84RUBXJ9rxwFBQWIiIjA2rVr8fz5c95uamoKLy8veHt7o1GjRhqcIUEQBEHUXkiov4GCggJube7atSsaNmxY5nWKFnVlxE+qk4ri0wGyqFcGsViMiIgIBAYG8jAIQOYSGhQUBBcXF5WHD1y+fBmTJk1Camoqb3N1dUV4eDj3lCDKRiKRwM3NDVKpFACwYsUKtG/fXqXjyccCqDzbm9iwYQN/Pn36dKX0Sa7vb6a4uBhbt26Fv78/9zABZBtKbm5u8PHxQfPmzTU4Q4IgCIKo/ZBQfwOXL1/mVtHy3N5LSkq42O3QoYPOxf5WlPFdT08P3bp1U/u8dAXGGA4cOIDFixfz8lGA7OZ/yZIl8Pb2VrkQkEql+Prrr7F06VJupTUzM8PGjRsxadIklY5dW9i4cSP3jLGzs4Onp6dKx1O0pgNkUS+P9PR0REVFAZAltXRxcVFKv2RRLxupVIp9+/Zh+fLlgg0/PT09TJs2DStXrlTpBhZBEARBEP9CQv0NyN3eAVnG97JISUnhN326Fp8OCIW63HJeVFSEf/75B4DMbZpuZMsmLi4OXl5eOHv2LG8TiUSYMWMGAgMD1ZL9/8mTJ/jss89w5MgR3ta3b1/s3r0bHTt2VPn4tYHMzEz4+Pjw48jISJUL59eF+u+//w4rK6sau9pnZWXV6PXahp+fH/+s3N3dYWZmppR+yaIuhDGG33//HT4+PoKynAAwduxYrFq1CnZ2dhqaHUEQBEHUTUiov4HKJJLT5fh0iUTCXdw7duyIxo0bA5BtPshvjsntvTTp6enw8fERxIEDwJAhQxAWFqa2z+zEiROYNm2aoOTbV199hcDAQMq8XAW8vb15uML06dNVnkcAKC3UpVIpHj16VON+Hz58WOM+tIU///yTW9PNzc3h7e2ttL4pmdy/nD17FkuXLhVsOALA0KFDsWbNmnJ/+wiCIAiCUC0k1N+A3KLeoEGDcq0JivHpuibUb9y4wS1LFJ9eMXl5eQgODkZISIjAImdjY4OQkBA4OjqqJaN6cXEx/Pz8EBwczGsYt2jRAtu3b1dKRuy6RGxsLHbv3g1AlsE6ODhYLePm5uYKjg0MDNCsWbNqf3/kAt3KyqrGc9MGcnNz4erqyo/9/f1haWmptP7J9V0W3uTj44PffvtN0P72228jKCgIw4cP19DMCIIgCIIASKiXy8OHD/nN7zvvvAN9ff0yr5Nb1EUikUDs6gKVSSRHmcJlngdRUVFYtmyZwHptYWGBlStXws3NTW0W7Dt37mDy5MkCb4+RI0ciKioKzZo1U8scagtisRhz587lx+vWrUPTpk3VMvby5csFx5MmTcKOHTuq1VdJSQn//ulajoyyYIxh9uzZPEa6X79+gnVSBnXZ9T01NRXLly/Hnj17BO1vvfUWVq9ejbFjx1IJR4IgCILQAlSbhlqHqYzbe1FREY/ns7W1VVr8pLqoKJEcQBb12NhY9O7dGzNnzuQi3dDQEF5eXkhNTYWHh4faRPrevXvRs2dP/t00NDREaGgofv31VxLp1SA4OBg3b94EAAwYMEBgwVUlu3btwvbt2wVt5VWUqIsEBARg7969AGRJEXfu3FnuRml1qYsW9UePHuGLL75Aly5dBCK9TZs22Lp1KxITE+Hs7EwinSAIgiC0BLKol4NiIrnyhHpiYiKvQa7rieR69eoFQGbNklvUmzdvXmdL8KSkpGDRokU4fPiwoN3Z2Rnr1q2DtbW12uaSn5+PL7/8Elu3buVt1tbW2LNnj05+77SB1NRUrF69GgCgr6+PyMhIlZfPA4CkpCTMnj27VDuVZ5Px9ddfY+XKlQBkXkpRUVHo1KmT0sdRtKjXdqGenZ2NdevW4bvvvhO87yZNmmDZsmVwc3NDvXr1NDhDgiAIgiDKgoR6OVTGoq7L8elSqRRXrlwBALRu3ZpbZB88eIDs7GwAddOanpWVBX9/f0RGRvLSfADg4OCAsLAwtSQaUyQhIQGTJk3CjRs3eNvUqVPx/fffkxW2mjDGMG/ePIjFYgCAp6cn7O3tVT5uTk4Oxo0bJ7Dmyqnr5dkYY1ixYgUCAwN5W0hICD755BOVjCdfAyMjIxgY1M6fwfz8fHz77bcIDg7myRIBmffGwoUL4enpSf9DCIIgCEKLqZ13KDWkpKSEi/C2bduiZcuWZV6nmPFd1yybaWlpyMnJAUBu74AsXjkiIgKBgYGCm1orKysEBQXBxcVFLRZXOYwxfPfdd1i0aBH32jA1NUVkZCSmTZumtnnURqKjo3Hs2DEAMrffFStWqHxMxhhmzJjBXe1tbGz4c6BuC/WcnBzMnDkT+/fv523+/v7w8vJS2ZhyoV4brelFRUXYtGkTVq1ahcePH/N2Y2NjzJs3D0uXLq0VuQwIgiAIorZDQr0MkpKS+I1cefXTgX8t6vr6+jonaimRnAzGGA4cOIDFixcjLS2Nt5uYmGDJkiXw9vZWe7KprKwsuLq64n//+x9v6927N/bu3YvOnTurdS61jZycHCxYsIAfh4eHo0GDBiofNywsDAcOHAAANG7cGEFBQRg3bhw/X1eF+qlTp+Dq6oq7d+/ytm+++Qbz589X6bhyF/DalEhOIpFg9+7dWLFiBe7cucPb9fT04OrqiuXLl6NNmzYanCFBEARBEFWBhHoZVMbtvaCgAElJSQCArl276twNX2WEuq5tPlSVuLg4eHl5CeoHi0QizJgxA4GBgWjVqpXa5/THH3/AxcVFUFPby8sLQUFBdVbMKRM/Pz9kZGQAAJycnDBmzBiVj3nmzBl89dVX/HjHjh1o1KiR4Jq6tra3b9+Gr68vTxoHyBLH7dq1C46OjiofvzZZ1BljOHToEJYtW4Z//vlHcG7ChAkIDAyEra2thmZHEARBEER1oazvZVAZoX716lUew6xr8elAxRnf69evDxsbG7XPSx2kp6dj2rRp6NOnj0CkDxkyBPHx8diyZYvaRXpJSQn8/PwwdOhQLtKbNm2K3377DaGhoXVOyKmC+Ph4REREAJB9v8PDw1We4TojIwMTJ07k/yuWLVsGR0dHFBcXC66rC+vLGMP58+fh4uKCt956SyDS33vvPSQkJKhFpAO1x6L+xx9/YMCAAfjkk08EIv3DDz/E33//jZ9++olEOkEQBEHoKGRRLwN5xncDA4Nya6Prcnw6Y4wL9WbNmnFRmpuby2sXd+vWTeklkTRNXl4egoODERISIsh+bGNjg5CQEDg6OmqkNNG9e/fg4uKCv/76i7cNHz4c27dvLzc/AlE1JBIJ3NzcIJVKAQArVqxA+/btVTpmcXExJk6cyMv6DRs2DP7+/vycIrVVqOfm5uLChQs4fvw4fvnlF9y6dUtw3tLSEkFBQZg5c6backAwxrhFXVeF+uXLl+Hj48NzLcjp168fgoKCMHjwYM1MjCAIgiAIpUFC/TVevnyJlJQUALIY7fJcI3U543t6ejqePXsGQGZNl4vTxMREfo2y3N5zc3PRr18/9O7dG9u3b9eIEJZIJIiKisKyZcu4aAIACwsLrFy5Em5ubmqrhf46MTExmDVrFl68eAFAtjm0atUqLFq0SK3J66pKQkICduzYwTOnawoDAwOYmJigWbNmaNu2Lbp06QIbG5tSm0wbN27km2t2dnbw9PRU+dyWLl2KP//8E4CsssKePXv4vF4X6soqz3blyhW1ZLB/HYlEguTkZJiYmKB9+/YoLi7Gy5cv8fTpUzDGSl1vaWkJDw8PeHp6wszMTK1zFYvFfE665vp+48YN+Pn5ITo6WtDerVs3rF69Gk5OTlQHnSAIgiBqCSTUXyMuLo7fxJXn9i6/DpBZwrp3766WuSkLeVk2QPWJ5JycnJCcnIzk5GQkJCTgzz//ROPGjZXSd2WIjY2Fl5cXrl27xtsMDQ3h4eEBX19fmJubq20uihQWFsLT0xMbN27kbe3bt8eePXvemMBQG2CM4ZNPPsG9e/c0PZUyadCgAfr3749Ro0Zh7NixqFevHnx8fPj5yMhIlVuw9+/fj9DQUACy71t0dDSaNm3Kz8sz+cupyXwUhXBBQYFgw03dFBQUIDk5ucxzIpEIffv2xZw5czBx4kSNiWRFbxpdsainp6fD398f//3vfwVlI9u3b4+AgABMmTKl1nlAEQRBEERdh4T6a8jd3oHyM77n5OTwutY9evTQObdVdSaSU6xRnJSUBAcHB8TExKg8UV1KSgoWLVqEw4cPC9qdnZ2xbt06WFtbq3T8N5GUlIRJkyYJYkonTpyIjRs3lkoypo1IJBKtFemALMTh+PHjOH78OLy8vNCsWTNecm/69OkYNGiQSse/ceMGXF1d+XFYWFip/yXKdH3XFQsqYwwXLlyAsbExTE1NMXbsWI3UMFesY6/tFvWsrCwEBQVhw4YNAu+V5s2bw9fXF7Nnz9a53x+CIAiCICoHCfXXqEwiufj4eG7F0rX4dKDiRHIAlOY+269fP8TGxvLjtLQ09OvXDxs2bMDMmTOVMoYiWVlZ8Pf3R2RkpMDy5ODggLCwMJWLtDfBGMPGjRvh6emJV69eAZBZ9L777jvMmDFDZwSXIvb29tiyZYtGxmaMoaSkBPn5+cjMzERaWhoSExNx/vx5PHz4kF/35MkTALIyVX379oVUKlVZWEF+fj7GjRuH3NxcAMDkyZMxb968UtepKkbd2toafn5+SumrquTk5KB+/frQ19dHUVERMjIykJSUVGo9Tp8+jdOnT6NTp04ICAjApEmT1BrmoQsW9dzcXISFhSE0NJR/lwCgUaNGWLx4MebPnw9TU1MNzpAgCIIgCJXDCI5UKmVNmzZlAJi5uTmTSqVlXrd+/XoGgAFgW7duVfMsa06rVq0YANa4cWP+HouLi1m9evUYANapUyeljbVs2TL+Wb3+mDFjBisoKFDKOK9evWIhISGsUaNGgjGsrKzY9u3bmUQiUco41SU7O5uNGzdOMDd7e3uWnJys0XlVh+LiYv4eBg4cqOnplEIqlbLk5GTm7+/PDA0NS33vBg4cyBITE1Uy7pQpU/g4Xbt2ZXl5eWVeu2XLFsGc/ve//1V7XF1Zj9WrVzNbW1u1rUd5XL16lY89e/ZstY1bGQoLC9nXX3/NmjRpIviM6tWrxxYvXsyePXum6SkSBEEQBKEmtDdblQa4c+cOnj59CkBmTS/PwqnLGd8zMzN5+S/FRHK3bt3iVl5VuaUfPnwYX3zxBT/etm0b+vfvzzPNVwfGGGJiYmBnZ4eFCxdyF2cTExMEBATg5s2bmDZtmkYTs509exY9evRATEwMb/Pw8MDFixfRpUsXjc2rtiISidClSxeIRCJuuVZMWPbXX39xDwtWRqKz6vL9999j9+7dAGRx8jExMeVaPetK1nfg3/Xw8fHB9evXcfz4cQwZMoSfV9V6lIc2ur6XlJRg27ZtsLW1haenJ7KysgDIQofc3Nxw+/ZtrFu3DhYWFhqeKUEQBEEQ6oKEugKVcXsH/s34bmJionNCq7xEcopu76oS6sbGxvj++++xc+dO7nJ69epVODg44Jdffqlyf3FxcRg0aBDGjx+PtLQ0ADJR4Orqilu3bsHPz0+jrq0SiQQBAQF4//33kZ6eDkCWaf7gwYMIDw9HvXr1NDa32k5qaipWr14NANDX18eff/6JI0eOwMbGBoAsmZu3tzcmTpwoEG7V5cKFC4JM8nLRVR51SagrIhKJMHz4cJw8eVKl6/EmtMn1Xb7R2L17d7i6uuL+/fv83OTJk3H9+nVERkbyEpoEQRAEQdQdSKgrUBmh/uzZMy4Ke/XqpZFkSDWhMonklJXxvTxcXFxw8eJFLmRycnIwduxYLF68GCUlJRW+Pj09HdOmTUOfPn1w9uxZ3j5kyBDEx8djy5YtGr+xffDgAYYNG4YVK1bw2t3vv/8+rl69itGjR2t0brUdxhjmzZvHk295enrC3t4eH374Ia5du4aFCxfya6OjozF8+HBkZ2dXe7ynT59iwoQJXHx7eXlh/Pjxb3zN61nflVWeTZdQ1XpUhLZY1E+cOIG+ffti/PjxvCQoAHz88cdISEjA7t27NZr0kiAIgiAIzUJCXQHFjO99+vQp85rLly/z57pWPx2oXCI5VWdkB2R1f+Pi4jBhwgTetn79egwbNgwZGRllviYvLw/Lly+Hra0tdu7cydttbGxw6NAhxMbGqmXuFXHo0CH06NEDp0+fBiBLYhYQEIDY2Fi0bt1aw7Or/URHR+PYsWMAgDZt2mDFihX8nLGxMdavX49Dhw6hYcOGAIDz58/jgw8+4LXsq4JEIsGUKVPw4MEDAMC7776LtWvXVvi6umpRfx1lr0dl0LRF/dKlSxg2bBhGjBghCKN699138eeff+Lw4cMq3ywlCIIgCEL7IaH+/4jFYu4W3rlzZ1haWpZ5nS7HpwP/CnVTU1N07tyZt8st6ubm5moTkw0bNsS+ffvwzTffcM+EM2fOoFevXlzkAjIxtHXrVnTu3BmBgYH8RtvCwgLh4eFISkqCk5OTxrOmv3r1Ch4eHhgzZgy3CLZt2xZnzpyBn58f1TlWAzk5OViwYAE/Dg8PR4MGDUpd5+TkhDNnzqB58+YAZBtwY8aMEZTAqgwrV67EiRMnAMhKZv30008wNDSs8HUk1IUoaz0qg6JFXZ1CPTk5Gc7Ozujbty9OnjzJ23v06IFff/0VZ86cwbvvvqu2+RAEQRAEod2QUP9/EhISuDtqZeLTAd2zqGdnZ+Pu3bsAZFZzeYK1x48fIzMzk7erU/CKRCLMnz8fZ86cgZWVFZ/P0KFDsW7dOpw4cQK9e/fGzJkz+RwNDQ3h5eWF1NRUeHh4VEoYqZqUlBT069cPERERvM3Z2RkJCQkYOHCgBmdWt/Dz8+MeGU5OThgzZky51/bs2RMnT55E06ZNAcg2idzd3Ss91uHDh7Fq1SoAsjj4n376CS1btqzUa0mol6am61FZ1O36fvfuXUyfPh3du3fHzz//zNs7deqE3bt3Iz4+Hh999JHGNxoJgiAIgtAuSKj/P4rx6f369Sv3OrlF3czMTOfiBzWZSK4i+vfvjytXrmD48OEAAKlUiiVLlmDEiBG4du0av87Z2RnJyckIDQ2Fubm5RuaqCGMMW7ZsgYODA/8c69Wrhx9++AH79+/XijnWFeLj4/lGSf369REeHl6h+LGzs8Phw4e5YNu8eTN27dpV4VhpaWmYNm0aP167di0GDRpU6bm+HqNOQl1GddejKqjL9f3JkyeYP38+bGxsEBUVxXNVtGzZEj/88AOuX7+OyZMna7QiBUEQBEEQ2gvdIfw/lUkkl5GRgYcPHwKQub3r2g2WNiSSexNNmzbFzp07y/RU6NKlC06fPo2YmBit2SB5+fIlJk+ejFmzZnErXdeuXREXF4c5c+ZorYVMIpFoegpKRyKRwM3NjYuhFStWoH379pV6bZ8+fbBp0yZ+7O7uXm6eBEAm9MaPH89jqJ2dneHt7V2l+b5uUde1pJSqpKrrUVVUbVF/+fIlli9fjo4dOyI8PJyvtbm5OdatW4fU1FTMmTNHKzyBCIIgCILQXuju8P+RJ5KrV68e7O3ty7xG0e1dl+PTgfKFuqYs6mKxGBEREQgMDOS10BW5ffs2bt26VSWrpSq5ePEiJk+ejDt37vC2OXPmICwsTOMlnxRhjOHu3bs4d+4czp8/j3PnzuHq1aswMjKCubl5jTeb5PWeNc3GjRu5t4udnZ2gVFplmDp1Ko4cOYJdu3bhxYsX8Pb25jXRX8fDw0OQz2Lr1q1V3pR5XahbW1ujSZMmNd7c0Zb1qClVWY+qoiqLemFhITZs2ICgoCBB1noTExN4enpi4cKFaNy4sdLGIwiCIAiilsMI9uTJEwaAAWADBgwo97rly5fz66Kjo9U4Q+VgY2PDADBjY2NWVFTE2+3s7BgAZmhoyMRisVLHXLZsGf/Mjh8/Xuq8VCpl+/fvZx07duTXAWAmJibMy8uL9erVS9A+Y8YMVlBQoNQ5VgWJRMKCgoKYgYEBn1Pjxo3Z/v37NTYnRQoLC9nZs2fZ+vXr2dixY1mLFi0En5+yHw0aNND0W2YZGRmsUaNGfE6nT5+uVj9ZWVmsSZMmvJ8LFy6Uumbz5s2C72hiYmK1xnJzc6u166EsKrMe1cHT05P3ee7cuRr3V1xczDZt2sSsrKwEa2FoaMjc3d1ZRkaGEmZNEARBEERdgyzqkJXLkfOmRHK6nPE9JycHN2/eBADY29tzt8vCwkJew9fOzk6tsbJxcXHw8vIS1EIXiUSYMWMGAgMD0apVK4jFYnh6eiIyMhIAsG3bNsTHx2P//v1qd4HPyMjAp59+yrN8A8DAgQOxa9cutGvXTq1zkfPo0SOBtfzy5culrLWKiEQitGnTBq9evYKBgUG1LbjyEBB5AkBN4u3tzb0wpk+fXm2vC0tLS/j7+2PevHkAgMDAQBw+fJifj4+P5+cAYNOmTejWrVu1xiprjZo3b15tF3htWg9lUdF6VBdlub5LpVJER0fDz88Pt27d4u0ikQhTp06Fv78/OnToUKO5EgRBEARRh9H0ToE24Ovry60g+/btK/MaqVTKmjZtygCwJk2aMKlUquZZ1owzZ87w9zhnzhzeHhcXx9s/++wzpY9blkX9/v37bOrUqaWsgUOGDGFXrlwps5+dO3cyExMTfq2ZmRn7+eeflT7f8vjtt9/4+gNgIpGI+fn5seLiYrXNoaioiMXFxbHw8HA2adIk1q5duwotrGZmZuzDDz9kK1euZMeOHWMvXryo8TyKi4t5/wMHDlTCO6s+J06c4HOxsLBgT548qVF/YrGYtWnThveZnJzMGGPs2bNnrH379rx97ty5NRrn008/LbVW1fVm0ab1UDblrUdNUPzsb9y4UeXXS6VS9vvvv5fy9gHAxowZU20vC4IgCIIgCEXIoo7KJZK7f/8+nj59CkBmTdfWRGHloQ3x6YWFhVi+fDlCQkIEcaI2NjYICQmBo6NjuZ+ri4sLevbsiXHjxuHGjRvIycnB2LFjsWjRIqxZs0ZlybjEYjF8fHwQFhbG21q1aoVdu3Zh8ODBKhlTTlZWFreUnz9/HpcuXRJ8bmVhY2ODAQMGYMCAAejfvz/s7Ox0LulhZRGLxZg7dy4/XrduHS/tVV2MjIzg6ekJLy8vADKreWhoKD799FNe2rBPnz6C70N1eD3ru5WVFWV+L4Oy1uPrr7+uUZ81saifO3cOS5cuxZkzZwTtgwcPRlBQ0BsrhhAEQRAEQVSFOi/UpVIpd31v3rw52rZtW+Z1im7vulY/HdCOjO/Tp08XJFmysLDAypUr4ebmVqkMyPKM6jNnzkR0dDQAYP369bh48SL27t1b6RrWleXWrVuYNGmS4LNzcnLC1q1b0aRJE6WOJZFIkJyczIX5uXPnBO60ZWFiYoI+ffqgf//+GDBgAPr166f0eWkzwcHBPJxjwIABcHV1VUq/n332GZYsWYKioiLs27cPFhYW+PXXXwHI3LGjo6NhbGxcozFed33XVOiELvD6eoSEhEBfX7/a/VUnmdy16DGoCAAA/itJREFUa9ewbNmyUq73Dg4OWLNmDUaMGKFzm7cEQRAEQWg3dV6o37hxg8e39uvXr9ybrdqS8d3AwEAQV6tYQ10VQl0xK7pcpBsaGsLDwwO+vr5VrjPesGFD7Nu3DwMHDsTChQtRUlKCM2fOoFevXti3bx/ef//9CvsoLi7GwYMHER8fj4KCAjRq1Agffvgh+vfvz9d/x44dmDt3LvLy8gDILHshISFwd3dXyg35y5cvcfHiRW4tv3DhAnJyct74mnbt2gms5Yq5BuoaqampWL16NQBAX18fkZGRSvMcsLCwwMiRI3Ho0CFkZGRgxYoVAGSxx2FhYdi9ezeePHkCAwMDdOzYEZMmTapyNu/XhXp5G4RE6fW4ePEiBgwYAEBWz/6nn36q0nooWtQrEuppaWlYvnw5du/eDcYYb7exscHq1asxbtw4EugEQRAEQagGTfvea5pt27bx+MI1a9aUe93QoUP5dQ8fPlTjDGtOQUEB09fXZwBYjx49eLtEImENGzZkAFibNm2UOub169eZo6NjqRhOZ2dnduvWLaWMce7cOUGmZT09PbZ27dpy8wcUFxezVatWsZYtW5YZz92zZ08WFRVVKn7e1taWJSQkVHueUqmU3bhxg/33v/9ls2fPZt26dWMikeiNseVGRkasf//+zMvLi+3fv1+rvnOajomWSqXsgw8+4HNYuHCh0sdQzO4uf9jY2JS5biYmJuzzzz+vUnz8qFGjBH189dVX1Z6rptdDHSiuR0BAALt8+TL76KOPqrUeffv25deW97/i0aNHbO7cuYLqDgBY69at2ebNm9Wam4IgCIIgiLpJnRfqimWSYmNjy7xGIpHw8k+tWrVS8wxrzsWLF/l7nDFjBm9PTU3l7U5OTkoZ6+nTp8zd3Z1vDCg+QkNDlTKGIk+ePGHDhw8XjDN69Gj2/PlzwXWvXr1iH330UYXJ115/uLq6sry8vCrNKT8/n/3xxx9szZo1zMnJSVBiqrxHixYtmLOzMwsJCWF//fUXKywsVOKnpFw0LQz37dvHx2/Tpg3Lzc1V+hjXr18XrI+enl6Fa9ipUyd29+7dSvU/bNgwwWu///77as9V0+uhDtLS0vh7fOeddwSJJau6Hvb29gwAq1+/fqlz2dnZbMmSJax+/fqCviwtLVloaKhW/10SBEEQBFG7qPOu7xcuXAAgc2stL/Y8NTWVu8fXpvh0Rbf3miaSE4vFiIiIQGBgIP+sAJmrem5uLgBZWThl07RpUxw5cgT+/v4IDAwEABw6dAgODg6IiYnh7+vzzz/Hb7/9BkC21p988gmmTZuGFi1aIDExEatWrUJ6ejrvt379+ti6dSsmTZr0xvEZY7h//74gtvzq1asoKSkp9zX6+vro0aMHd2EfMGAA2rVrRy60lSAnJwcLFizgx+Hh4WjQoIHSx/nuu+8Ex1KpFADQpk0buLm5YdCgQSgsLMTBgwfx3//+F/n5+bh9+zZGjRqFS5cuVTgnilGvGu3bt4eFhQWys7MF+UKqsx5y13fFRHIFBQUIDw/HunXr8OLFC97eoEEDeHt7w8vLC2ZmZqp/owRBEARBEHI0vVOgSfLz87nlt1u3buVet2vXLm5ZCQwMVOMMlcPnn3/O5//XX3/xdj8/P96+f//+avUtlUrZ/v37WceOHUu5nwYEBLDFixfzNnl5NlXx22+/MQsLCz6esbEx27x5M0tMTORt9evXZ6dOneKvefz4MRs5cmQpa1zTpk1ZUVFRqTFevXrFzp8/z0JDQ9n48eNZq1atKrTsWVhYsI8//pitXr2anTx5UiUWYHWiSQvul19+KfACUUWZxJ07d5a5jmPHji3Tonr//n1mY2PDr9uwYUOFY/Tv31/Qd01KetUFizpjjL377rtKWQ95uEzr1q2ZWCxmGzZsYC1atBD0bWRkxBYsWFDjcn8EQRAEQRDVpU4LdcXa4jNnziz3ugULFvDrjhw5osYZKgcHBwcGyGp/K7pxjx49mr+v1NTUKvd76dKlUjfPIpGIubq68pjqsuqoq5K7d++yt99+WzCnt956iz8PCwvj1x4/frzUDbq1tTV//tNPP7GMjAwWExPDFi5cyAYMGMCMjY0rFOZdu3Zln3/+Odu6dStLSUlRiZjUJJoShpcvX+Yu6PXr12d37txR+hiJiYllulVbWlqy/Pz8N85Nfq2dnV2Fay7/m5Q/cnJyqj3nuiLUx44dq5T1MDc3Z4As3OT1DUY9PT3m6urK7t27p463RBAEQRAEUS512vVd7vYO4I31bxUzvjs4OKh0TsqmqKgIiYmJAIC33noLpqam/Jy8NFvDhg3RoUOHSveZnp4OHx8f7Ny5U9A+ZMgQhIWFCdzoX3fxVTXt2rXD2bNn4enpicjISABASkoKAMDY2Biurq4oLi6Gn58fgoODeSbnFi1aYPv27QCADz74AAAwY8YM5Ofnv3G8hg0bom/fvjwbe9++faucAZyoGIlEAjc3N+6CvmLFCrRv316pY+Tk5GDcuHHcNbpFixbIzMwEADg6Or4xQ3jv3r0xYMAAnDt3DsnJybh+/Trs7OwAAFeuXMHRo0cxe/ZsWFhYABD+Xejr66Nhw4ZKfS+1kefPn/PnNVkP+d+0fG3ljBs3DoGBgejSpYsKZk8QBEEQBFE16rRQv3jxIn/et2/fMq8pKSnhMd4dOnTQuTrVycnJKCoqAiCMT8/Ozsb9+/cByGLHK1PaKi8vD8HBwQgJCRHUIraxsUFISAgcHR0FcdYFBQX46aef+HFGRkaN309lMDY2xvfff4/+/fvj008/5e2mpqbIzs7Ghx9+KFj7kSNHIioqCs2aNRMI87JEurW1tSC2vGvXrjWq6UxUjo0bN/LYZDs7O3h6eiq1f8YYZsyYweuy9+zZE/Xq1eNiztbWtsI++vfvj3PnzgEABg8eDCMjIwAyQSiRSPDjjz/i5s2b0NfX53+TAGpck72uoLi5Ud31YIwJPnsAGD58ONasWaOT+UcIgiAIgqi91GmhLreoN2jQgFtbXiclJYVb2HS5fjogFOrXrl3jzytKJCeRSBAVFYVly5YJrFAWFhZYuXIl3NzcStXzLigogJOTE+7evcvb1GlpzsrKKmXxLy4uRs+ePXm9ckNDQ6xduxYLFizgGxXyxHcAoKenh4EDB3Jreb9+/dCsWTO1vQdCRmZmJnx8fPhxZGQkF8HKIiwsDAcOHAAg+57GxMRgxowZ/PyrV68q7CMvL48/f/r0aanzaWlp+PHHH+Hm5ibY6FJMakaUj+KGmDLWw8jICL///juGDh2qnAkSBEEQBEEokTor1B8+fIiHDx8CkGVyL88qqphhWBctLuUJdbnbOwD06NGj3NfHxsbCy8tLIOwNDQ3h4eEBX19fmJubl3qNXKSfPHlS0K4uQXLhwgVMmDABDx48ELQrinBra2vs2bOn1OZLTEwMfz5nzhx8//33qp0sUSHe3t68ksD06dMxaNAgpfZ/5swZfPXVV/x4x44d6Nixo8DSLbfMlkdxcTEOHjzIj1u2bMk3f8RiMbKysgAAPj4+GD9+vECoK4ajEOWjrPWQSqUwNjZGcHAwiXSCIAiCILSWiv2daymVcXsHhPHpui7UFS3nikK9LIt6SkoKnJycMHz4cIFId3Z2RnJyMkJDQysl0tXp1ssYw3fffYdBgwZxkW5ubl7Kkj916lTEx8eXEuk5OTkIDQ3lx1988YXK50y8mdjYWOzevRuAzIMjODhYqf1nZGRg4sSJkEgkAIBly5bB0dERgHBj6eTJk4Jyhq+zceNG7m3i7OyMR48e4cGDB3jw4AGePn2KqVOnApDFWS9duhRisZi/VhXl5WojylqPR48e4c6dO5gwYYLK50wQBEEQBFFd6qxQV0wk9yahLreoi0QigUVaF5BIJFyQd+zYUSBY5Te5enp66NatG2/PysqCh4cHunXrhsOHD/N2BwcHnD59GjExMbC2ti5zvNdFupmZGSZPnqzkd1U2eXl5mDJlCr788ksey9qxY0fk5+cL6iIDMo8ARYsmAPzzzz8YMWIE7ty5AwB477330L17d7XMnSgbsViMuXPn8uN169ahadOmSuu/uLgYEydO5IJu2LBh8Pf35+cVwzakUik++OAD/PrrrzwBISBzwf76668Ftd3nzZtXaqz169fzOtybN28WuG5TIrnKocz1IAiCIAiC0HbqrOt7ZSzqRUVFXNDa2tryG21d4caNG1yQKm4yFBUV4Z9//gEge1/169eHWCxGREQEAgMDuZsxAFhZWSEoKAguLi5vTDhXlkg/fvw4Dh06pIq3JiA5ORnjxo3j2d0BmUhPS0vjxx06dOAifNu2bdi5cydGjhyJli1bIikpSeBKa2Fhgc2bN6t83sSbCQ4O5sndBgwYAFdXV6X2v3TpUvz5558AgNatW2PPnj08BKaoqAjXr18HANSrVw+vXr3CkydP4OjoiM6dO+O9997Dq1evcOTIEWRnZ/M+PTw8MGTIkFJjtWjRAgEBAVxAKlrUGzVqpNT3VRtR9noQBEEQBEFoPZqsDacpiouLea3ktm3blnvd33//zevrTp06VY0zVA47duzg81+zZg1vv3r1Km+fNGkS279/f6l6wiYmJiwgIOCNtYrl5Ofns6FDh/LXmpmZsYsXLzLGVF9Hfffu3czU1FQwbwsLC8F78fLyYmKxmO3atYsZGhq+sQa6lZUVS0hIUPo8axPqqNt969YtXrNeX1+fXb16Van9R0dH8/dgaGjIzp8/Lzh/7tw5fn7ChAnsvffee+P3BgCbP38+KykpKXfM4uJi1r1791Kv+89//lOj91IX6qirYj0IgiAIgiC0mTrp+p6UlMQzuVe2frqux6eXl0juwoULGD9+PLc+i0QiuLq64tatW/Dz83tjrWKgfEt6nz59lPhOSiMWi+Hu7o4pU6bwMmrNmjVDYWEht6g1bdoUv/32G0JDQ2FkZIQpU6YgJSUFixcvhqWlpaA/W1tbfPvtt0hKSnpjcj1C9TDGMG/ePG519vT0hL29vdL6v3HjhsA6HxYWVur/wLFjx/jzDz/8ELGxsYiOji5lnTUyMsLUqVPx119/4ZtvvnljqT4DAwNs2LChVLuueepoAlWsB0EQBEEQhDZTJ13fK5tITjHju66XZuvVqxd/Lnf3BYRxn0OGDEFYWFiF5drkaEqk379/HxMmTMClS5d4W7NmzfDkyRN+PHz4cGzfvh0tW7YUvLZjx45Yt24d/P39kZ6ejvz8fDRq1Ajt27cX1IAnNEd0dDQXZm3atMGKFSuU1nd+fj7GjRvHKwBMnjy5zBhmeak2ABgxYgQMDQ0xfvx4jB8/HpmZmXjy5AkMDQ3RqlWrKrmuv/fee3BxccGuXbt4G9VRrxhVrQdBEARBEIS2QkK9Ehnf9fX1Ky1etQWpVIorV64AkMXfNmvWDHl5eQgODsbWrVsF19rY2CAkJASOjo6VFquaEulHjx6Fi4sLnj17BkBmpTQyMuIi3cDAAKtWrcKiRYveGFNfr149dO7cWaVzJapOTk6OIBFYeHi40rKiM8Ywe/Zsnp+ha9eu+PHHH0t95xMSEnilgz59+qBt27aC8y1atECLFi2qPY9FixYJhLpiTDVRGlWvB0EQBEEQhDZSJ4W6POO7gYFBuZncCwoKkJSUBEB2Q1+RC7i2kZaWhpycHAAya/rWrVuxbNkynuEakLm5f/vtt3Bzc4OhoWGl+9aESJdIJAgICEBgYCDP8tywYUPk5uaipKQEANC+fXvs2bPnjeEMhHbj5+eHjIwMAICTkxPGjBmjtL6///57XuqtQYMGiImJKbOGuaJ7+vTp05U2vhx52I2ckydPQiKRkJt2Oah6PQiCIAiCILSROhej/vLlS54dvEePHoLavIpcvXqV11bW9fj0S5cuYebMmQKRDshc3T08PLRepGdlZeGjjz5CQEBAKZEuZ+LEiUhISCCRXgnkGxvaRnx8PCIiIgDIamaHh4crLRzhwoUL8PT05Mfbtm2Dra1tqevS09MRFRUFQPYdc3FxUcr4iihWIwCAx48f48cff1T6OLUBdawHQRAEQRCENlLnLOpxcXFc7NXm+PTjx4/z548fP+bP+/fvj/PnzwOo+gaEJkT6xYsXMWHCBKSnpwOQeQHo6+tzkW5iYoLvvvsOM2bMoBjzMsjMzERCQoLgcfPmTRgbG8PCwqLGn1lWVpZS5imRSODm5gapVAoAWLFiBdq3b6+Uvp8+fYoJEyaguLgYAODl5YXx48eXea2fnx+/zt3dXSWJ3hTzQsiZN28eAgIC3hiuURmUtR7agjrWgyAIgiAIQhupc0Jd7vYO1M6M71lZWfD398eWLVsE7Q4ODggLC8OZM2e4UK9KdnN1i3TGGCIiIuDt7c1v1I2NjSEWi7lF2N7eHnv37kWXLl1UMgddQiKR4NatW6VEueImjSKvXr3Co0ePajzuw4cPa9wHAGzcuJFvjtnZ2Qms3zVBIpFgypQpePDgAQDg3Xffxdq1a8u89s8//+TWW3Nzc3h7eytlDq9z7969Um1SqZS7/NcEZa2HNqCu9SAIgiAIgtBG6pxQr2rGdyMjI3Tv3l3l86opYrEYERERCAwMxMuXL3m7np4etm3bhqlTp0JPTw/h4eH8nLZmd8/Ly8Pnn3+OvXv38ja5SJfj4eGB4OBg1KtXTyVz0Gby8/ORmJgoEOTXrl1DYWFhha81NjZG69atkZubCwMDg2pb1OWC0MrKqlqvVyQzMxM+Pj78ODIyEkZGRjXuFwBWrlyJEydOAACaN2+On376qcxQj9zcXEHJNn9//1Il/JSFfNNATrdu3fD06VMYGFT/37Ey10MbUOd6EARBEARBaCN1SqgzxrhQNzc3Lzfrd05ODm7cuAFAZnVWlmhQBYwxHDhwAIsXLy4V+woAw4YNw6effsqPr169CkAWA2xjY1Nh/+oW6cnJyRg3bhzPIwDI3N3lIt3CwgLbtm3D6NGjVTK+tlGe67o8fONNWFpaolevXujZsyd/2Nra1kgQArIYd7nYbdKkSY36AgBvb2++uTR9+nQMGjSoxn0CwOHDh7Fq1SoAssoNP/30U6lyfcC/2eBTU1MByDxt5s6dq5Q5lMXrQn3u3Ln44osvqt2fstdD06h7PQiCIAiCILSROiXU79y5g6dPnwKQWdPLsybGx8dzIaTN8elxcXHw8vLC2bNneZtIJMLQoUMRGxsLQOi2n5uby29+u3XrVmGWaXWL9D179uDzzz9Hfn4+AJm4kkgkfC3ef/997Ny5E61bt1bJ+Jqkqq7rr2NtbS0Q5D179kSrVq20Pm4/NjaWZ2K3sLBAcHCwUvpNS0vDtGnT+PHatWvL3QAICAjg3htmZmbYuXOnSjOwv+6eTnXUhah7PQiCIAiCILSROiXUq1o/HdDO+PT09HT4+Phg586dgvYhQ4YgLCwMP//8MxfqiuXnEhMT+fOK3N7VKdLFYjG8vb0FZZjkIh2Que+vXLkSPj4+teKGvaau6927dxcIcnt7ezRs2FANM1cuYrFYYCldt24dmjZtWuN+CwsLMX78eLx48QIA4OzsXG5889dff42VK1cCkG1yRUVFoVOnTjWew5vm9nrddG322FE36l4PgiAIgiAIbYWEehloa8b3vLw8BAcHIyQkRCDqbGxsEBISAkdHR4hEIvj5+fFzikI9ISGBP39TIjl1ivT79+9jwoQJuHTpkqBdLtLbtm2L3bt3Y+DAgUofWx1oo+u6thAcHIybN28CAAYMGCCISa4JHh4euHLlCgCgc+fO2Lp1aynPAsYYVqxYgcDAQN4WEhKCTz75RClzKA959QJFSKhrbj0IgiAIgiC0ldpxx19JFDO+v0l0yi3qJiYmWpFRXCKRICoqCsuWLRPUQrewsMDKlSvh5uYmSJAlr6HeuHFjQYkrRaFenkVdnSL96NGjcHFxwbNnzwDILGiKAtbZ2RmbN2+Gubm50sdWNnXVdb26pKamYvXq1QBk3hORkZE1Lk0GAFu2bOEVD0xMTHDgwAE0atRIcE1OTg5mzpyJ/fv38zZ/f394eXnVePyKKCvje10X6ppcD4IgCIIgCG2lzgh1sVgssLKVl0H42bNnPClbr169NG69jI2NhZeXF65du8bbDA0N4eHhAV9f31IiNjMzk5fd6t27t0DoyRPJAbLSZq+jLpEukUgQEBCAwMBALswVRXq9evXwzTffYPbs2VopVMl1vWYwxjBv3jyeINDT07PM72NViY+Px7x58/jxpk2b0K1bN8E1p06dgqurq6CW+TfffIP58+fXePzKQEJdiKbXgyAIgiAIQlupM0I9ISEBRUVFAN7s9n758mX+XJPx6SkpKVi0aBEOHz4saHd2dsa6detgbW1d5uvkmxGA0O29pKSEi/1OnTqVEobqEulZWVlwcXHBsWPHBO1ykd61a1fs3bu3lMDSFOS6rnyio6P5+rdp0wYrVqyocZ/Z2dkYN24cF/9z586Fi4sLP3/79m34+voKSv6ZmZlh165dcHR0rPH4leX+/ful2uqiUNeW9SAIgiAIgtBW6oxiUIxP79evX7nXaTo+PSsrC/7+/oiMjORx2gDg4OCAsLCwCktXyd3eAaFQv3XrFl69egWgtNu7ukT6xYsX4erqWmacLgDMmTMHYWFhMDExUeq4lYFc19VDTk4OFixYwI/Dw8PRoEGDGvUplUrx6aefcqtsnz59EBYWBsYYLly4gIiICPz0008oKSnhr3nvvfcQFRWFDh061GjsqlKXLerauB4EQRAEQRDaSp0U6tqY8V0sFiMiIgKBgYG8pjQAWFlZISgoCC4uLpWK4S1PqCu6vSsKdXXGpPv6+pbZ3rhxY2zevBnjxo1T+phlQa7rmsPPzw8ZGRkAACcnJ4wZM6bGfQYFBeHXX38FIMvb8OWXX8LPzw+//PILbt26JbjW0tISQUFBmDlzplJi4qtKWUK9Npdny83NxYULF3D8+HGtXA+CIAiCIAhtpc4IdXkiuXr16r0xHlZuUTczMyvXvVyZMMZw4MABLF68mMfGA7JEWEuWLIG3t3eVLMxyoW5qaorOnTvz9rIyvqu7TnpZDBw4ELt27UK7du3eeF1CQgJ27NjBXZsrS35+PrKysgQPedmuiqhXrx6aNGkieDRt2hQNGjRAs2bN0LJlS1hYWGjEA0BbuHLlSqXjywsLC5GamgpAlpPg5s2bb6w+8CYkEgmSk5NhbGws+E5kZ2dj6tSppa63tLSEh4cHPD09YWZmVq0xlYGqLeq3b9+Gu7u70vqrLGKxGJs3b0aLFi0wdOhQPH78GLdv38a9e/fKDBPRlvUgCIIgCILQWpiO89lnnzEADABr3rx5mdc8efKEXzNgwIAyr5k4cSK/BgAbPHiwKqfNGGPs0qVL7N133xWMKxKJmKurK3v48GGV+3v27BnvZ+DAgYJzI0eO5Ofu37/P8vPz2dChQ3mbmZkZu3jxorLeGsfX11fw/hTfp5+fHysuLq6wD6lUytq1a1dmP9rwaNCgARsxYgQLCwtjd+7cUfpnqG0UFRVp/DOvzEMkErF+/fqxbdu2sYKCAk1/bKykpIQZGBiUmmdSUlKN+i0uLtb4Z12Zh56eHhs8eLDWrAdBEARBEIQ2o5W+hvPmzYNIJEJsbGypc2lpaTA1NcWQIUO4paZJkybYsWMHNmzYILj20qVL8PDwwHvvvcfbWrVqVeaY7u7u8PT05MeqjE9PT0/HtGnT0KdPH5w9e5a3DxkyBPHx8diyZUu583wT5SWSA/61qJubm8PCwkJtlvShQ4dCX19f0NaqVSucPHkSAQEBlUqsJpFIyrREagt5eXk4fvw4vLy80KFDBwwePBjR0dGCGNzahK7E3bP/j4n+73//i8OHD2t8PTIyMsqcQ00t6gYGBkoJIVA2ZmZm6Nu3L+bOnYtdu3bh8ePHOHXqFKZPn4769etrenoEQRAEQRBajVa6vq9duxaHDx/G559/jsTERJiamgKQ3XjPmjULjDFs3ryZCwZTU9My3V1/++03REZGwsLCgrfZ2dmVOea7776L48eP82NVCPW8vDwEBwcjJCREEA9tY2ODkJAQODo61kgElRef/vjxY15/vXv37hg9erRaRPqtW7ewcOFCQVI8JycnbN26FU2aNKlUH5mZmYJM/MbGxigqKqpU1vVGjRrB1tYWNjY2/NGuXbtqZ11njKGkpAT5+fnIzMxEWloaEhMTcf78eTx8+JBfd/r0aZw+fRqdOnVCQEAAJk2aVGvjb62treHn5/fGa168eIGlS5eioKAAALB06VK89dZbNRp3+/btfCOvSZMm8PHxQU5ODpKSkrR2PcrbbFKG6/vPP/+MpKSkKoeGKJPnz5+jcePGaNy4MZo1awYzMzOd2dQhCIIgCILQOjRpzn8Tv/32GwPA5s+fz9t++OEHBoCFhITwts8++4y1a9euzD4yMzNZfn4+GzFiBHe/3LNnT7ljjho1il9369YtZb0VVlJSwrZs2cJatGghcAW1sLBg4eHhrKioSCnjTJo0ifd99epV3n706FHe3qZNG/5cVe7ujDG2fft21qBBAz6WkZERCw8PZ1KptMzrS0pK2PXr19mePXvYV199xT788EPWvHnzSrvVWltbs/Hjx7NVq1axw4cPswcPHpQ7lrKRSqUsOTmZrV69mtna2paa28CBA1liYqJa5qIOFF2tXw+xKIspU6bw66dPn17j8Xfu3Mn7MzY2ZpcvXxac19b12L17d5nf3UePHql9LgRBEARBEIR2o7VCnTHGpk2bxvT09Ni5c+dYeno6MzMzY++88w4rKSnh17xJqDPGmEQiYY0aNeI3xSdPnizzOqlUypo2bcqvU5Z4PnHiBLO3txfcmBsaGjIvLy+WnZ2tlDHk2NjYcPGiOP9169aVEgeqEuk5OTls6tSpgrFsbW1ZQkICvyYvL4+dP3+eRUZGsjlz5rC+ffuy+vXrVzru+O2332azZs1iERER7OzZsywnJ0fp76O6SKVSdvz4cTZkyBDBvI2MjFhoaKjaNg9USVWE+okTJwQbU0+ePKnR2ImJiczExIT3uXnz5jder03rERQUVOZ3OisrS21zIAiCIAiCIHQDrRbqz549Y82aNWNdunRhI0eOZIaGhuzatWuCayoS6snJyYKb4lOnTpV53d27dwXXVSbJ2Zu4fv06c3R0LHVT7uzsrFRrvZyXL1/yMd555x3BuQkTJqhFpP/999/M2tpaMNbkyZPZzz//zIKCgtjEiROZra0tE4lElRLllpaWbPjw4czLy4u3lZcMUBs5cuQI3zyRPyZMmMDy8/M1PbUaUVmh/urVK8H7//HHH2s07suXLwX9ubq6Vun1ml4PNze3Mr/nubm5ahmfIAiCIAiC0B20Wqgzxti+ffv4De2KFStKna9IqG/btq1SQj06OlopQv3p06fM3d2d6evrC/pzcHBgp0+frlafleHMmTN8rDlz5vD2/Px8Zmpqys81bNhQ6SJdIpGw4OBgZmhoyMcxMDAQeDJU9HiT63pVXa21iVevXrGFCxcK3mv//v3Zs2fPND21alPZ9QgICBBssEgkkmqPKZVKmbOzM++vZ8+e1cocrsn1UAytUXyIxWKVj00QBEEQBEHoFlqZTE4RxaRjo0aNqvLrL168WKnr/v777yr3rYhYLEZERAQCAwPx8uVL3m5lZYWgoCC4uLioNIFVWYnkCgoK8NFHHyE/Px8AoKenhxMnTtQ4cVx+fj4SExORkJCA8+fP4+DBg4L3DAAlJSWl2gBZMrju3bujZ8+e/GFvb4+GDRvWaE7airGxMdavX49BgwbBxcUFubm5OH/+PD744AOcOHECjRs31vQUVUJqaipWr14NANDX10dkZGSNvv9hYWE4cOAAAKBx48aIiYmpVuZwTa7H/fv3Acg+D8UEi4aGhiobkyAIgiAIgtBNtFqoFxQU4PPPP0ebNm2Ql5eHuXPn4tKlS6XKfb2JCxcuVOq6uLi4as2RMYYDBw5g8eLFSEtL4+0mJiZYsmQJvL29YWJiUq2+q8LrQr2goABOTk44ffo0bx81alSVRXpmZiYSEhIEj5s3b1Yq67qlpSV69eolEOW2trbVzrquyzg5OeHMmTMYOXIkHj9+jMuXL2PMmDE4duwYjI2NNT09pcIYw7x583gGck9PT9jb21e7vzNnzuCrr77ixzt27EDHjh1rNEd1rwdjjGd9NzMzw/PnzwHIRDtlRicIgiAIgiBeR6sVk6+vL9LS0vD777/j0aNHmDlzJkJDQ7F48eJKvb6goACJiYkAZLW7Hz16VOZ1UqmUlwCrX7++oHTam4iLi4OXl5egFrpIJMKMGTMQGBhYrVro1UUu1A0MDNCxY0dBnXQ5w4cPL/f1EokEt27dKiXKHz9+XKnx9fX1MWDAAHz44YdclLdq1YpEiAI9e/bEyZMnMXjwYDx9+hRnzpyBu7s7fvzxR01PTalER0fj2LFjAIA2bdpgxYoV1e4rIyMDEydO5BboZcuWwdHRUSnzVOd6PH/+HHl5eQCEQp2s6QRBEARBEESZaNbzvnwuXLjA9PT02Keffsrbhg0bxurXry9IxvamGHXFuO1333233Bj1Gzdu8Ovk5cveFKN+//79UpnNAbAhQ4awK1euVPctV5uCggIeE9+9e3c2dOhQPifFuHF5xvuaZF03MjISxLwDYMOHD2ePHz9W2fvT5Rj1srh48aLg8965c6emp1Ql3rQeL1++ZC1btuTnf/7552qPU1RUxN577z3e17BhwwQVH5SFOtbjypUrvP+uXbsKckYQBEEQBEEQxOuoLmi6BhQVFcHV1RVNmzbF119/zds3bdoEkUiE2bNnV6ofRbf3N7nKKsanK8bEv05eXh6WL18OW1tb7Ny5k7fb2Njg0KFDiI2NRc+ePSs1N2WSmJjILY5ZWVnckm5mZgYbGxt+XXh4ON566y00bNgQ/fv3xxdffIGNGzfi4sWLZXoRWFpaYvjw4Vi4cCF27tyJ4OBg1KtXj8e8GxoaIjQ0FEePHkWzZs3KnZ/cBZqQ0adPH2zatIkfu7u7IyMjQ23js0qELVQXPz8//l6cnJwwZsyYave1dOlS/PnnnwCA1q1bY8+ePVUKe6ks6lgPuds7AEEoDFnUCYIgCIIgiLLQStf3VatWITk5GT/99BMsLCx4e8eOHREQEICFCxdi8+bNmDVr1hv7UXT9fvDgAQBZfKvcVd3X1xeAMD7d0tKyVD8SiQRRUVFYtmwZMjMzebuFhQVWrlwJNzc3jd5wK8anywWGvr4+9PX18c8///Bzv/zyS7l9WFtbC2LJFV3X8/Pz8eWXX2Lr1q2C6/fs2YO3334beXl5uHfvHu7evVvmIysrC/Xq1YOFhUWNXeGzsrJq9HptYerUqThy5Ah27dqFFy9ewNvbG7t371bZeBkZGTh06BB++eUXxMbGQl9fH+bm5jVOcKi4HvHx8YiIiAAgCyEJDw+v9nrv378foaGhAGRiNjo6Gk2bNq3RXN+EqtejPKFuZGSktDEIgiAIgiCIWoSmTfqvc/XqVWZoaMg++eSTMs+XlJSwt99+mzVu3Jg9evToja7vTZo0eaMbtxy5WzwANnHiRIHr+4kTJ5i9vb3gdYaGhszLy4tlZ2cr/f1Xhtdd15s2bVrpMmjGxsbs7bffZrNmzWIRERHs7NmzLCcnp9yxrly5wjp37izow87Ojo0ZM4a9/fbbFX7Gyn40aNBAjZ+0asnKyhJ8fhcuXFBq/ykpKWzt2rWsX79+Kl+PkpIS9s477/D2tWvX1mjeDRs25H199913yvpI3ogq18PLy4v3O3LkSP68bdu2ShuDIAiCIAiCqD1onUXd3t4eRUVF5Z7X19cvlaFdKpUiKysLenp63AL/8OFDbu0bMmRIqcRqckpKSrhFum3bttwCmJKSgqVLl+Lw4cOC652dnbFu3TpYW1tX7w1WkZpkXW/QoAFPYPXJJ59g1apVZWZdz8vLwz///COwgt+5cweXLl1Cenp6qX6Tk5ORnJxc4fgikQitW7dGgwYN8OzZMxgYGFTbwvrw4UMAsnJ3tQVLS0v4+/tj3rx5AIDAwMBS37eqIJVKERcXh19++QW//PILUlJSyh1XX19fqeuxceNG/ndpZ2cHT0/PavWbn5+PcePGITc3FwAwefJk/vmoGmWvhyLy0myA0IpOFnWCIAiCIAiiLLROqFeH9PR0NG3aFM2bN+eu6Yr10/v27Vvua1NSUlBQUABAdjMtv6Hu0aMHpFIpv87BwQFhYWEYNGiQKt5CjbOuy3Fzc4OjoyN69uyJH374AatWrQIAvP/++7h79y7++OOPMl3Tq4NciLdv377MR+vWrZUiREpKSnhowZtyCOgis2bNwtq1a5Geno5ff/0V169fR5cuXSr9+qKiIpw6dQq//PILDh48WG5sdffu3fHJ/7F353FRVu3/wD/ssioguKKIOyJuZQpq2qItkht+NZceRDMFUYGsRAmFTEFFI5HcM7cCccuex1QstdxIVHABRdwFFVFAlgFmzu8PfnOamxlggNmA6/16+WruZe65Zg7QXPc55zqjR2P06NHo06dPnaYgVGyPrKwsBAUF8eMxMTG1anfGGGbOnMmna/To0QObNm3S6MoBdW2PykiHvuvp6QmmyVCiTgghhBBCFKn3ifoXX3yBKVOmAIBg/WPZQnJVJeqyvfNvvPEGrl69ioKCAp6kt2nTBsuXL8fkyZPrPJ9XqqCgACkpKYKEPDk5Wall4UxMTNCzZ0+4uLjgzJkzuHnzJj/Wt29fuLi44M8//8SPP/6I48eP82O17eEEyj+DN998Ex07dlRLIt6YGRsbw9/fHwEBAQDKCybKFlBUJC8vD//73/9w4MAB/Pe//0VeXp7cOfr6+nB3d8fo0aMxatQodOzYUS3xA0BgYCByc3MBAF5eXrW+mbV+/Xo+L9zCwgLx8fEwNzdXWZzKqE17KEOaqLdu3ZoXfpS+HiGEEEIIIRXpMWXGUNdDb775Jk6dOgUAePz4MVq1aqXwPB8fH8TExMjtNzMzw1dffYXAwEBB8aeaqsvQdVtbW/Tp0wfOzs5o3bo1LC0tUVZWhoyMDOzevRvPnj2rdVyAsEe8Xbt2uHfvHv7++28em52dHbZv347333+/Tq9TV7I9uO7u7oJ16xuCnJwctGrVCiUlJWjVqhUePHggV928YjG40tJSues0adIEw4cPx6hRozBy5MgqK/HXhWx79OjRg/eA29jYIDU1tVZF386dO4chQ4bw9xUXFwdPT0/VBV0DyrRHTRQVFfG/IW5ubmjatCn+97//ASi/OSh7U5EQQgghhBCgAfSoK1JWVsaXXGvXrl2lSXpiYiJ27Ngh2Kenp4dp06YhLCwMrVu3Vvo16zp0vV27dnBwcIC1tTWMjIxQUlLCk3zZnvHasLKywqhRoyodmn7v3j1MnjwZf//9N3/OO++8g59++qnSz46ojo2NDd577z0cOnQImZmZOH/+PNzc3JCWloatW7diz549CmsFAIC1tTU8PDwwevRoDB8+XOM90Ldv3+aPw8PDa5WkP3v2DOPHj+dJekBAgNaSdKDy9gCAjIwMxMbG4unTpzA0NISTkxMmTpyIZs2aVXo92bZr164dnj59yrdlRwERQgghhBAi1SAT9atXr/J55wMGDJA7/uDBAwQFBQnWQgfKi85FRkZWuxZ6XYauGxoawtbWFmZmZhCLxcjNzUVubq5gfnxNGBoaoqysDACwYMECdOvWDY6OjsjKysLkyZMBAFOnTuXLZlUUHx+PGTNm4OXLl/x633zzDRYsWKCyof6keh999BEOHToEAPjqq6/w4MED3L17V+G5enp6cHZ2RlhYGEaOHKnVpQGLi4sBlPcUe3t71/j5YrEYkyZN4ssnDho0CCtWrFBpjLUh2x4JCQlo0qQJgoOD8b///U9uNExgYCAmT56MZcuWKbxRIbs0W/v27fl7BcpHQRBCCCGEEFJRg0vUMzIysHHjRr4tOz/91atXiIiIwKpVq+SS6qFDhyIhIUGucFVdhq5Lq2rLDlMuKytTupdddmh627ZtcfbsWZ68WVhY4LfffsN7772HsrIyODk5ISIigj937dq1/HGvXr3krl1UVAR/f39s2LCB73N0dMSePXsU3twg6iEtBie7KsHp06erfA5jDNeuXcOCBQvQt29ftG/fXt1hVsnAwAAxMTG1urGzZMkSPmKkRYsWiI2N1eqNB6m33nqLP/7111+xYsUKfvOvosLCQmzatAknTpxAQkKCXHtUTNRl25oSdUIIIYQQokiDSdTT09MxZ84c/P7774L9p06dwowZM7B3714sWrSIV4UHyuehS798jxo1CmlpaXWuui5L2tNdGWWrphcWFsLDw4Mn6VZWVjh27BgsLCz4DYe+ffsKrn358mX+uOIIgatXr2LixIl8bjEATJgwARs2bEDTpk1r/X6JcpQpBifVrFkzeHt7Y8yYMSgqKsLBgwfx448/oqCgALdv38b777+PCxcuwMLCQmPxV7xJ5e/vD1dX1xpf5/Dhw3xVAgMDA8TGxurMVAtHR0fY2NggJydHUHDSwcEBs2bNwpAhQ5RuD9mRMu3btxcsP0lD3wkhhBBCiELaWsBdldLT05m9vT0DoPCfmZmZYNvIyIh9/PHHrH///nyfsbFxpc+v7T89PT3m4ODABg8ezKZOncqCg4PZli1bWEJCArt9+zYTiUTVvreCggL21ltv8WtaWVmx8+fPM8YY27FjB9//7bffCp7Xu3dvBoDp6+uzwsJCxhhjEomExcTEsCZNmgg+my1btjCJRKL6hlGR0tJSHq+7u7u2w6mVx48fsx9++IG99957zMjISOHPi76+vmB7zJgxrKioSO5a9+/fZ126dOHnRUdHa/S97N69W/B7k5+fX+Nr3L59mzVr1oxfZ+XKlWqItG4GDRqkkvb45JNP+LGUlBTWvXt3vj158mRNvR1CCCGEEFKPNIge9QULFggKNFUkO2TVxMQEIpEIe/bsEZwj28ulLHWvIy7tSZcOlZX2pPfv3x8AkJSUxM+V7VEvKSnhveVdu3aFqakpXrx4gU8//RTx8fH8PFdXV/z8888qWSeayEtLS8OBAwdw4MCBSit7yxaD27ZtG3799VcA5RX/d+7cqXBotIODA/bs2YN+/foBAKKjozF79myNrDeel5eHwMBAvu3k5FTj3vyioiJ4enryughjx44VXFNXyM43r0t7VBz6LjsVhpZnI4QQQgghitT7RP3x48c4ePCg0ueLRKIaXd/BwUFtiXhVqkvSAWGi3qdPH/44NTWVJwO9e/fGX3/9hUmTJgmqT/v5+SEiIoLmyKqQRCJBYmIiT85TU1MVnteuXTuMHj0ao0ePxqBBg/ic7KioKH7OyJEjq1wWsG/fvnBzc8OZM2dw/fp13LhxA87OzgCAS5cu4ffff8fMmTNhY2OjwncIBAcHIzMzk2/X5vp+fn64dOkSAKBz587YunWrRm4y1NSLFy/447q0hzRRt7a2hqWlpeCmICXqhBBCCCFEkXqfqN+6dQsSiaRO17C1tcWIESPQsWNHjSXiVVEmSZdIJDzZadu2rWDNbNn56dnZ2XjzzTf5Z2RjY4Nt27bho48+0sA7afikxeAOHDiAgwcPCpJYWT179uTJeZ8+fRQmprI9rV27dq32tQcOHIgzZ84AKC+GKP1ZzcrKglgsxqZNm3Dz5s06rQEuKykpSW71gJom2Fu2bMGWLVsAlNeI2Ldvn87WRVBFezDG8PjxYwDlv8cVr0uJOiGEEEIIUaTeJ+qqKMb0/Plz7NmzB23atKm099zBwUEjX6qVSdKB8ur20iJkVRWSO3bsGH/85ptvYufOnWjbtq2aom8clCkGp6+vD3d3d4wePRqjRo1Cx44dq72ubEItXfasKq9eveKPnz17Jnc8IyMDmzZtwqxZs6q9VnXEYjFmzZpVp5tiSUlJ8PX15dsbN26Ei4tLnWNTF1W3h/Szky0yScXkCCGEEEKIIvU+Ue/Tpw/s7OwUfjGW1axZMxgZGVV6HmMMDx8+xMOHD/HXX3/JHdfT01N7Iq9skg5UPj8dAF/uSkpfXx9LlixBUFCQynpXG5vMzEwcOnQIBw4cQEJCgqBXVKpJkyYYPnw4Ro0ahZEjRwpGOShDNmmT9sxWprS0VDDlo1WrVnx5NJFIhOzsbABAUFAQPD090bx58xrFUtGGDRt49XNnZ2dcv369Rs/PycnBuHHj+NQTHx8fTJ48uU4xqZuq2oMxBjMzMyxfvpyfK0U96oQQQgghRJF6n6ibmJjA19cXS5YsqfK8/fv3Y+jQoSgoKMC9e/cwYsQIPHz4EAYGBhg9ejTu37+Pu3fvai2Rr0mSDihO1IuLi/H5558jJSWFH2vXrh12794Nd3f3Kj8fIq+mxeCGDx8Oc3PzWr+eqakpf3zixAlcuXIFvXr1Unjuhg0b+FKDY8eOFRQJBICpU6di586dePHiBRYuXIhNmzbVOq6srCwEBQXx7XXr1gnWGa+ORCLBJ598wpcX7N+/PyIjI2sdj6aosj1kyfaoU6JOCCGEEEIUqfeJOgAsWrQI165dQ1xcnMLja9euxdChQwEA5ubmaNu2LR49egSgPMndu3cvP1eayN+9e1fhP3Uk8i1atICfnx/+/PNPANUn6YB8op6amoqJEyfiypUrfL+9vT0uX74Ma2vrSq9D/lXXYnB1JU1kpbEMHz4cW7duxQcffMDnghcXFyMmJgYLFizg58oOJ5dauXIlDh06hLy8PGzevBnTp0/HgAEDahVXYGAgcnNzAQBeXl4YPHhwjZ6/fPly/PbbbwDK60HExcXViyHfqmwPWZSoE0IIIYSQ6jSIRN3Q0BA///wzxo0bhx9++AFXrlyBkZER3n77bfj5+WHgwIGC85OSksAYAwC89tprgmPm5uZwdnbmFZsrUlciL2VgYAA3Nzf8+uuvSElJUdgjzxjjibqdnR3+97//Yd68eYJl6IDypIqS9KqpshhcXeO4ceMGgPIh9MXFxXj69ClGjhyJzp07Y/DgwSguLsaRI0eQk5PDn+fn54dhw4bJXa9ly5YIDQ3F/PnzAZQnjxcuXKjx1IeEhATs3r0bQHkhwoiIiBo9/9ixYwgODgZQfrNqz549aNeuXY2uoQ2qbg9ZNPSdEEIIIYRUp0Ek6kD5POwJEyZgwoQJ1Z77zz//8Mevv/56jV5HXYm8lFgsxpEjR3DkyBHBftkeeTs7Ozx//pyf/+mnn/Lz7O3t+ZryvXv3rtF7ayzUVQyuLi5evMgTOA8PD2RlZeH06dMAylc2uHXrltxz5s2bh9WrV1d608DX1xdbtmxBSkoKkpKSalxYTiQSwcfHh2+Hh4fDzs5O0CNclQcPHmDSpEn8plhoaCjeffddpV9fm9TRHkD5TTaxWMy3KVEnhBBCCCGKNJhEvSakRbEA+R71ulI2kU9NTcXChQtx8+ZNAOU96ZaWlnj58qXC58n2yMuS7c0zNzcXJFHp6elISEjQaNV6XaWJYnB1cfToUf54xIgR+OSTT3Dw4EGsX78ef/zxBz9mbGyM//u//8Ps2bPh5uZW5TUNDQ0RHR2NIUOGAKh5YbmIiAj+8+nm5gZvb2+l349IJIKnpycvavfBBx8I5rnrOnW0BwBBki59PiGEEEIIIRXpMWl3VyPSsWNHZGRkwMzMDLm5uTA01Oz9iqoKx9W1R74ymqhary5lZWV8Hri7u3uVUwdkaboYXF306tULycnJAIB79+4JhodnZWXh6dOnMDIyQuvWrWu87ri0sBwAzJgxQ6nCcunp6XBxcYFIJIKBgQGSkpLg6uoKQLn2mDNnDqKjowEAjo6OuHjxImxsbGoUtzapqz2KiopgZmbGt7dt2wYvLy+VxU0IIYQQQhqGRtej/vz5c2RkZAAoX9pNl5J0oOoe+czMTEyePFnQo9eiRQv069cPz549Q0ZGBh8SX5EuLD+nbtouBldbly9f5klh//795eZwt2zZEi1btqz19WtaWI4xBl9fX76Umr+/P0/SlbFr1y6epJuYmCA+Pr5eJenqbI+SkhLBtq7/ThFCCCGEEO1odIn6xYsX+eOazk+vq5ouwSbrf//7H/7zn/8IetRNTEzw4MEDnmieOXOGL8M2YsQIfPTRRxqpWq/NRF5XisHVhTSpBaCW3tWaFpaLi4vjQ78dHBwQEhKi9GtdvXoVM2fO5NvR0dF8+cD6Qp3tUXHKBSXqhBBCCCFEkUaXqKtzfnpVapuki0QiBAUFKVx32t3dXdAbfPnyZf7Yw8NDUAhMShvLzzk6OqJDhw7Q19ev8r0qSxeLwdXWgwcPsH37dgCApaUlJk+erJbXUbawXF5eHk/oASAqKgoWFhZKvUZeXh7GjRvHVx/w9vbG9OnTVRK/pqi7PShRJ4QQQgghymh0iXpdKr7XVm2T9Fu3bmHixImCNdPfeOMNnD9/HgDkeiplE/XKKr5ra/k5ExMT2Nra1rkn+/Lly2jevLnOFYOrreDgYP5e5syZAysrK7W8TsXCcr6+vggNDZW7efLy5UsUFBQAKP88fX19MWfOnEqvKy0WxxjDtGnTePG53r17Y926dep4K2ql7vagoe+EEEIIIUQZjS5Rl/aoW1lZoVOnTmp/vdom6Tt27ICPjw9evXoFoPwL/apVq5Cbm1tpon7lyhX+uCZzimWpK5EXiUR4/PhxrWKq+PqydKUYXG2cPn2a995aW1sjMDBQra83ePBgTJkyBTt37oREIql0moBUcXFxtW326NEjAEBkZCT27dsHAGjWrBni4+NhamqqmsA1RBPtQT3qhBBCCCFEGY0qUc/MzOSJxWuvvaayodiVqU2Snp+fDx8fH16lGwC6du2KX375Bb169cK4ceP4ftlEvaysjBfA6tixIywtLVX9dgDULpE/c+YM0tPTqy3cxxhDaWkpioqKUFxcXOl63bpWDK428vPzBcudLV26FLa2tmp/3ZiYGOTl5eH8+fOC9mCM4dmzZzyRtLKyqvJnSPp71KZNG5w6dQpffvklP7Zjxw44OTmp6R2oh6bao2KibmJiovLXIIQQQggh9V+jStRlh72re356bZL0ixcvYuLEiUhPT+f7vL29ERUVxXuKpcPgzc3N0blzZ37erVu3UFxcDKDyYe+aUF0iX1HFYnDVLT/Xq1cvXLp0SaeKwdUUYwwzZ87k7TxgwACF9QTUwcLCAgcPHpTbv379evj6+gIAnJ2dcenSpUp7e2WXZ7OyssKECRP4+uCLFi3CyJEj1RS9emiyPahHnRBCCCGEKKPRJurqnJ9e0yRdIpFgzZo1WLhwoaBHc8OGDZg4cSI/LycnB3fv3gVQnozLjgiQHfauzURdGTUtBvfhhx+iW7duAMoTzfqcpANAaGgofv75ZwDl7bxz585KK7BrQlZWFoKCgvh2TEyM0glkWloab7+3334bS5cuVUuM6qTJ9qA56oQQQgghRBmNKlHXRMX3mibpT58+xX/+8x8cOXKE73vjjTewe/duueHDly5d4o+rKiTXq1evur4NlcvMzMShQ4dw4MABJCQk1KgYXGVD4OujNWvWYMmSJQDKK+Vv375d6xXpAwMDkZubC6B8OTJpwTllSJP0tm3bYs+ePVq94VAbmm4P6lEnhBBCCCHKaDSJOmOM96g3b94c7du3V/lr1DRJP378OKZOnYqsrCy+78svv0RYWJjCedey1d+rKiSnKz3qaWlpOHDgAA4cOIBz584pPKc+F4OrCcYYQkJCEBYWxvetWrUKo0eP1l5QABISErB7924AgI2NDSIiImp8DSMjI8TFxcHOzk7V4amNttqDEnVCCCGEEKKMRpOo379/n89/fu2111Q+fLomSXppaSmCg4MREREBxhgAoGXLlvjpp5/w7rvvVvoaVSXq0h51a2trtG3btq5vp1YkEgkSExN5cp6amqrwvIZQDK4m8vLyMH36dOzdu5fvW7p0KQICArQYVXklftm52OHh4Uol22lpaYLtyMhIDBgwQOXxqYs224OGvhNCCCGEEGU0mkRddti7quen1yRJv3PnDj7++GO+xBoAvPfee9i+fXu1635LE3UTExN0796d73/y5Anvle/du7dG53BXLAZX2ZJfPXv25Ml5nz596v08c2X98ccf8Pb25rUFAGDt2rWYN2+e9oL6/yIiIvi6525uboKq55UpKCjAhAkT+Hbz5s15Ebr6QNvtQT3qhBBCCCFEGY0mUVdXxfeaJOk///wzPvvsMz6v18jICCtWrMD8+fOrXSouLy+PJ1Wurq6CXmhND3uvaTG4UaNGaX0etqbdvn0bixcv5kXKgPKfjV27dulEVfT09HQsW7YMAGBgYICYmJhqfwal1dGvXbvG93Xq1Kle3HTRlfag5dkIIYQQQogyGk2iro5Ccsom6QUFBZg7dy62bt3K93Xq1Al79uxROhbZZFwbheTqUgyusWCM4dy5c1i3bh1iY2MFRfAGDx6M7du3o0OHDlqMsBxjDL6+vhCJRAAAf39/uLq6Vvu89evX8/nsUrpcPE4X24OGvhNCCCGEEGU0ikRdIpHg4sWLAIDWrVujdevWdb6mskn65cuXMXHiRMG83ilTpmD9+vWwtLRU+vWUmZ8OqLZHnYrBVS8/Px/nzp3DsWPHcODAAdy6dUtw3NbWFsuXL8f06dOr7bHWlLi4OBw9ehQA4ODggJCQkGqfc+7cOfj7+6s7tDrT9fagoe+EEEIIIUQZjSJRT09P58tPqWJ+ujJJOmMM33//PRYsWMB70czNzRETE4OpU6fW+DWVqfhuZGQkmLteU/WhGNzt27cxZ84cjb2elEgkwubNm9GyZUu89dZbePLkCW7fvo179+7xgoCybG1t4efnB39/f1hZWWk83srk5eVh/vz5fDsqKgoWFhZVPufZs2cYP348TzLnz5+PtWvXAqD2qKmKibouj0gghBBCCCFaxOq5//znPwwAA8BatGih8Jxdu3bxc8LCwhSeM2HCBH4OAFZaWqrwvIKCAvbWW2/x86ysrNj58+cF5zx79ox5eHgIrte3b1928+bNWr9PFxcXBoAZGhqyoqIivr+wsJDp6+szAKxXr141vq5IJGJHjhxhs2bNYq1atRLELPuvZ8+eLDg4mF28eJFJJJJav4/aKC0trTQuXfqnr6/Phg4dyrZt28YKCws1+hkpa+7cuTxeDw+PatuyrKyMvfPOO/w5gwYNYoWFhVr/rOtre2zevJnHZ2hoqO1wCCGEEEKIjtLJHnVfX1+sX78ex48fx9tvvy04lpGRgZ49e6J///68R7t58+ZYs2YNTE1NBedu27YNO3fuFAzbPnjwIAYPHow333xTcO6cOXMwcuRIbNy4EadPn1YYlzI96X/++ScmT56Mx48f830BAQFYvnx5rYe5FhUV4caNGwCAHj16oEmTJvzYtWvXIJFIACg/7L2+FYMzNDTEqFGjcPDgQa3FoIiVlRW6d++Ofv36wd3dHcOHD0fz5s21HValkpKSsG7dOgCAqakpoqKiqi0Et2TJEhw/fhwA0KJFC8TGxsLU1JTao5Zk56gbGurkn19CCCGEEKIDdPKb4ooVK3D48GF8+umnSElJ4fOeGWOYMWMGGGPYvHkzTzLMzc0xZcoUueskJSWhdevWsLe358sxFRQUYNiwYYiNjYWnpyc/d9CgQRg0aBCOHz+uMFGvLkkvKyvD0qVLsWzZMj701s7ODtu3b8f7779fp88jJSUFYrEYQO3np9f3YnD79+/H1atXeQE0bXjx4gWaNWuGZs2awd7eHlZWVvWi4jkAiMVizJo1i9/UCQkJgaOjY5XPOXz4ML755hsA5UO0Y2Nj0apVKwDUHrUl+3tHiTohhBBCCKmMTn5TtLS0xA8//IAPPvgAixYt4vNhN27ciD/++AOrVq1Sqof3+++/R1lZGZo2bQoA6NChAxITE9GxY0esXr1akKhXpbok/d69e5g8eTL+/vtv/px33nkHP/30E09s6kLZQnIVK743pGJwenp66Nmzp7bDqLc2bNjAVz5wdnautjBcRkaGoJbCihUrMGTIEL5N7VE7som6Jms7EEIIIYSQ+kUnE3UAeP/99zF16lR8//33mDBhAhwcHPDFF1/g9ddfFxTDqk5qaioKCwsBlC/LZm5ujubNm+Ply5dKPb+6JD0+Ph4zZszg1zM0NMQ333yDBQsWqKyqtDKF5ACgZ8+eOH/+vE4XgyOal5WVhaCgIL4dExNT5TSMoqIieHp68p/psWPHIjAwUN1hNgqyQ9/p944QQgghhFRGZxN1AFi7di1+//13TJ8+He3bt0dRURG2bNlSo0rJsuunt2vXDgsWLMC1a9eUSvarStKLiorg7++PDRs28PMdHR2xZ88eDBgwQPk3qQRpoq6npyfoNZdIJDxRt7CwgKurKzIzMxVeo2fPnjw579Onj84PESaqExgYyFc98PLyEvSMK+Ln54dLly4BADp37oytW7fSz4uKUI86IYQQQghRhk4n6jY2NrxH/caNGwgJCanxcNt//vmHP169ejVMTU0xe/ZsLF++vMrnFRYWYsyYMQqT9KtXr2LixIm4du0aP3/ChAnYsGEDH2avKiUlJUhJSQEAdOvWDebm5rwY3I4dO5Cfnw8AePXqFV69esWfp0vF4Ij2JCQkYPfu3QDKf58iIiKqPH/Lli3YsmULAMDMzAz79u1T+c90Y0aJOiGEEEIIUYZOJ+oABFWba1OUTbZH/bvvvsPevXuRn5+PoqIiQfX0ikaNGoU///wTwL9J+uuvv44ffvgB/v7+KC4uBlCezHz//feYNm2aWnodr1+/zofLWlpa4v3336+XxeCI5olEIvj4+PDt8PBw2NnZVXp+UlISfH19+fbGjRvh4uKi1hgbGxr6TgghhBBClKHTiXphYSE+/fRTODg44NWrV/Dx8cGFCxeUHvpeUlLCh4Z369YNc+fOhY+PDwYMGICPPvpIYXX3srIyAJBL0jt37ozx48cjPj6en+vq6oqff/4Z3bt3r+M7VSwtLY1X3QaACxcuVHruggULEBISorPF4IjmRURE4ObNmwAANzc3eHt7V3puTk4Oxo0bx6u4+/j4YPLkyRqJszGRTdRru1wjIYQQQghp+FRT7UxNFi9ejIyMDGzcuBGrVq1CUlISVq9erfTzU1JS+Bfj1157DUB5sbfx48fjr7/+wq1btwTnFxYWIiEhgW9Lk/SSkhL06tVLkKT7+fnh/PnzKk3SJRIJzp8/j4ULF6J79+7o1q2b4DWl2rVrh7lz58LNzY3v++yzzyhJJ1x6ejqWLVsGoHxptZiYmEqLG0okEnzyySd8CcP+/fsjMjJSU6E2KrLL2VGiTgghhBBCKqOzPernz5/Hd999h08++QTvvfceAGD37t1YsmQJxo4di06dOlV7Ddn56a+//jp/XFRUBKB8HWYpaeG4rKwsAOXDzI8cOYIjR45g6dKlfP1pGxsbbNu2DR999FHd3yTKe9j++OMPHDhwAAcPHqy0GBxQ3ms+ceJEXgyuffv2PNYOHTqoJB5S/zHG4Ovry5NCf39/uLq6Vnr+8uXL8dtvvwEAbG1tERcXBxMTE43E2tjIJur0GRNCCCGEkMroZKJeUlICb29v2NnZYc2aNXz/xo0b0bNnT8ycOZMXeatMWVkZ/vrrL74t7VHPy8vDrl27YG5ujh49egCQr+4OAD/99BMWLlyIkydP8n1vvvkmdu7cibZt29bp/UmLwR04cAD//e9/kZeXJ3eOvr4+3NzccP78eZSWlsLJyUlQCCwnJwf3798HUD4EX1VLwZH6Ly4uDkePHgUAODg4ICQkpNJzjx07huDgYADlqwrs2bMH7dq100icjZG0tgVAPeqEEEIIIaRyOpmof/PNN7h+/TpiY2NhY2PD9zs5OSE0NBSff/45Nm/ejBkzZlR6jVevXvFq13p6erh8+TL++9//4scff8SjR48QExMDc3NzuSTdyMgIpaWl8Pb25j3u+vr6WLJkCYKCgmq0NJyszMxMHDp0CAcOHFC6GFx2dja/mVBx/fTk5GT+uHfv3rWKiTQ8eXl5gqUHo6KiYGFhofDcBw8eYNKkSWCMAQBCQ0Px7rvvaiLMRot61AkhhBBCiDJ0LlFPTk7GihUrMHr0aIwfP17u+Pz58/Hzzz9jwYIF+PDDD6u8ljQB0dfXx7x582BjY4M33ngD27dvx9tvvy2XpFtaWsLGxgb37t3jSXq7du2we/duuLu71/i9pKWl4cCBAzhw4ADOnTun8Bxra2t4eHhg9OjRGD58uGCeubRXFJBP1C9fvswfy66tThq34OBgPn3Cw8MDo0aNUnieSCSCp6cnsrOzAQAffPABgoKCNBZnY0WJOiGEEEIIUYbOJequrq6CysgVGRgYCJZcA8qLYWVnZ0NfX5/3wN+4cYMn6l5eXti8ebPgORWTdDMzM9jZ2SEjI4OfM3bsWGzevBnW1tZKxS6RSJCYmMiT89TUVIXntWvXDqNHj8bo0aMxaNCgSpdpSkpK4o+rStSpR50A5T8v69atAwCYmpoiKiqq0iUDAwMD+SoCjo6O2LFjB02f0ABK1AkhhBBCiDJ0LlGvjQcPHsDOzg4tWrTgxeBkk3np/HSpikl6kyZNUFxcLEjSo6OjMXv27GrXRle2GFzPnj15ci4tBlcd2US9T58+gmPSZef09fVprWsCsViMWbNm8aKHISEhcHR0VHjurl27EB0dDaA8WYyPjxdMMSHqI3sTskmTJlqMhBBCCCGE6LJ6n6h/8cUXmDJlCgBhD1VlFd8rJumGhoaCAk/t27fHokWLMGPGjEqTaWWLwbm7u2P06NEYNWoUOnbsWKP3JZFIcOnSJQBA27ZtYW9vz4+VlJTg2rVrAICuXbvC1NS0RtcmDc+GDRv4zSlnZ2f4+/srPO/q1auYOXMm346OjpYbrUHURzZRpx51QgghhBBSmXqfqDs7O8PZ2VluvzRpMTY2Rs+ePQHIJ+l6enooKyvjz/nss88QGRkJMzMzuevVphicbHJdUxkZGfwGQMVEKjU1lb8+DXsnWVlZgvnlMTExCiuK5+XlYdy4cSgsLAQAeHt7Y/r06RqLk0Dwd4NusBFCCCGEkMrU+0Rdkby8PKSlpQEoL7RmbGyscAk26Rz2Zs2aYfPmzRg3bpzgOnUtBlcXND+dKCswMBC5ubkAyusxDBkyRO4cxhimTZuGmzdvAij/uZHOZyeaI9ujTok6IYQQQgipTINM1JOSkngS/tprrylM0qXc3d2xa9cutG/fXuXF4Or6HqSo4jupTEJCAl+G0MbGBhEREQrPi4yMxL59+wCU35iKj4+nRFELaOg7IYQQQghRRoNL1DMyMrB9+3a+7erqqjBJ19PTw+LFi/HVV1/h9OnTWLFihcqLwdVFVYm6tJAcQD3qjZlIJIKPjw/fDg8Ph52dndx5p06dwpdffsm3d+zYAScnJ43ESIRkh75Tok4IIYQQQirTYBL19PR0zJkzB7///rtg/9dff41nz54J9rVq1QozZszArVu30KpVK7UUg6sLxhhP1O3t7dG6dWvBMWmPeosWLdCiRQuNxUV0S0REBB/K7ubmBm9vb7lzMjMzMWHCBIjFYgDAokWLMHLkSI3GSf4lm6grqiNACCGEEEII0EAS9du3b8Pd3R1Pnz6VO1YxSbezs8OzZ88QFhYmd64qi8HVxYMHD/D8+XMA5b3psr33Dx8+RE5ODgDqTW/M0tPTsWzZMgCAgYEBYmJi5NZBLy0txYQJE/iShW+//TaWLl2q8VjJv2SLV1KiTgghhBBCKtMgEvUFCxYoTNIVqZi4q6sYXF1Il2UDaNg7kccYg6+vL0QiEQDA398frq6ucuctXLgQp0+fBlC+xN+ePXtgYGCg0ViJECXqhBBCCCFEGfU+UX/8+DEOHjxYo+doohhcXVAhOVKVuLg4HD16FADg4OCAkJAQuXP27t2L1atXAwCMjIwQFxencP460Syao04IIYQQQpRR7xP1W7duQSKRKHXu4sWLMWbMGI0Ug6sLWpqNVCYvLw/z58/n21FRUbCwsBCck5aWJpivHhkZiQEDBmgqRFIFaa0AgHrUCSGEEEJI5ep9oq5sr5SJiYnCeem6SJqoN2vWDI6OjoJj0qHvpqam6NKli6ZDI1oWHBzMVybw8PDAqFGjBMcLCgowbtw45OfnAwA+/vhj+Pr6ajxOohgNfSeEEEIIIcrQr/4U3danTx+lhvS+//77Goim7rKysvD48WMA8oXk8vPzkZ6eDgBwcXGh+caNTFJSEtatWweg/EZNVFSU4OeDMYaZM2fi2rVrAIAePXpg06ZNOj16pLGhHnVCCCGEEKKMep+om5iYKNVjOG/ePA1EU3dVFZJLSUnhj2nYe+MiFosxa9YsPs0jJCREbrTF+vXrsXv3bgCAhYUF4uPjdaI4IvkXJeqEEEIIIUQZ9T5RB8rXhh4/fnylx9euXYuhQ4dqLqA6oEJyRJENGzYgMTERAODs7Ax/f3/B8XPnzgn2bdu2DV27dtVojKR6lKgTQgghhBBlNIhE3dDQED///DN+/vlnDB06FNbW1rC3t8fHH3+MM2fO1JvedIAKyRF5WVlZCAoK4tsxMTGCJO/Zs2cYP348rygeEBAAT09PjcdJqiYWi8EY49uUqBNCCCGEkMrU+2JyUvr6+pgwYQImTJig7VDqRJqom5ubo3PnzoJjsmuoK1o3mzRMgYGByM3NBQB4eXlhyJAh/JhYLMakSZPw8OFDAMCgQYOwYsUKrcRJqia7NBtAy7MRQgghhJDKNYge9YYiJycHd+/eBVDeY66v/2/zlJWVITk5GQDQsWNHWFpaaiNEomEJCQl83rmNjQ0iIiIEx5csWYLjx48DAFq0aIHY2FgYGRlpPE5SvYqJOvWoE0IIIYSQylCirkOqKiR369YtFBcXA6Bh742FSCSCj48P3w4PDxescHD48GF88803AAADAwPExsaiVatWGo+TKIcSdUIIIYQQoixK1HVIVfPTZYe9U6LeOERERODmzZsAADc3N3h7e/NjGRkZmDp1Kt9esWKFYEg80T0lJSWCbUrUCSGEEEJIZShR1yFU8Z1IpaenY9myZQDKe8tjYmL4VIiioiJ4enri5cuXAICxY8ciMDBQW6ESJVGPOiGEEEIIURYl6jpEmqibmJige/fugmPUo954MMbg6+sLkUgEAPD39xcUD/Tz8+PTJDp37oytW7dCT09PK7ES5VGiTgghhBBClEWJuo7Iy8vjw5xdXV3lCoJJe9Stra3Rtm1bTYdHNCguLg5Hjx4FADg4OCAkJIQf27JlC7Zs2QIAMDMzw759+9C0aVOtxElqhhJ1QgghhBCiLErUdYRsj3nFYe9PnjxBVlYWgPLedOo9bbjy8vIwf/58vh0VFQULCwsA5SMufH19+bGNGzfCxcVF0yGSWqo4R52WZyOEEEIIIZWhRF1HUCE5AgDBwcHIzMwEAHh4eGDUqFEAypfuGzduHB8O7+Pjg8mTJ2stTlJz1KNOCCGEEEKURYm6jqBCciQpKQnr1q0DAJiamiIqKgp6enqQSCT45JNPcPfuXQBA//79ERkZqcVISW1UTNRpvXtCCCGEEFIZStR1hDRRNzQ0lBvOLJuoU496wyQWizFr1ixIJBIAQEhICBwdHQEAy5cvx2+//QYAsLW1RVxcHA2brodkh77r6enBwMBAi9EQQgghhBBdRom6DigqKsKNGzcAAD169ECTJk0Ex6VD342MjOSqwZOGYcOGDUhMTAQAODs7w9/fHwBw7NgxBAcHAyhP7vbs2YN27dppLU5Se7I96pSkE0IIIYSQqlCirgNSUlIgFosByA97LyoqQmpqKoDyBI7mtTY8WVlZCAoK4tsxMTEwNjbGgwcPMGnSJDDGAAChoaF49913tRUmqSNK1AkhhBBCiLIoUdcBVc1Pv3btGh8OTcPeG6bAwEDk5uYCALy8vDBkyBCIRCJ4enoiOzsbAPDBBx8IknlS/1CiTgghhBBClEWJug5QtpAcJeoNT0JCAnbv3g0AsLGxQUREBIDy5P3ChQsAAEdHR+zYsQP6+vTrWp/JzlGnQnKEEEIIIaQq9M1fB0gTdT09Pbmq7lTxveESiUTw8fHh2+Hh4bCzs8OuXbsQHR0NoHyt7fj4eNjY2GgrTKIisj3qhoaGWoyEEEIIIYToOkrUtaykpAQpKSkAgG7dusHc3FxwXHYNdUrUG5aIiAjcvHkTAODm5gZvb29cvXoVM2fO5OdER0fLjbIg9RMl6oQQQgghRFmUqGvZ9evX+ZDYigmZRCLhibqDgwP1qjYg6enpWLZsGYDy+coxMTF49eoVxo0bh8LCQgCAt7c3pk+frs0wiQrJDn2nRJ0QQgghhFSFvi1qWVXz0+/cuYP8/HwAND+9IWGMwdfXFyKRCADg7++Pnj17wtPTk/ew9+7dG+vWrdNmmETFZHvUaY46IYQQQgipCvWoa1lVibrssHdK1BuOuLg4HD16FED5SImQkBBERkZi3759AIBmzZohPj4epqam2gyTqJj0xgxAiTohhBBCCKkaJepaJpuoV0zGqZBcw5OXl4f58+fz7aioKCQlJeHLL7/k+3bs2AEnJyctREfUqaioiD+mRJ0QQgghhFSFhr5rkVgs5sm4k5MTmjVrJjhOPeoNT3BwMDIzMwEAHh4e6N+/P/r16wexWAwAWLRoEUaOHKnNEImaFBcX88fGxsZajIQQQgghhOg66lHXorS0NN7LpqiytzSJt7S0RIcOHTQZGlGDpKQkPu/c1NQUq1evxsSJE5GVlQUAePvtt7F06VJthkjUiBJ1QgghhBCiLErUtaiq+ek5OTm4f/8+AMDV1RX6+tRU9ZlYLMasWbMgkUgAACEhIdiwYQNOnz4NAGjbti327NkDAwMDbYZJ1Eh2jjol6oQQQgghpCqU/WlRVYl6cnIyf0zD3uu/DRs2IDExEQDg7OyMdu3aYfXq1QDK5yvHxcXBzs5OmyESNZOdo06JOiGEEEIIqQol6lokm6j36dNHcIwKyTUcWVlZCAoK4tsLFy7EZ599xrcjIyMxYMAAbYRGNEi2R93ExESLkRBCCCGEEF1HibqWSCQSXLp0CUD5sGd7e3vBcdlEnXrU67fAwEDk5uYCAKZMmYIVK1YgPz8fAPDxxx/D19dXm+ERDaGh74QQQgghRFmUqGtJRkYG8vLyACguJCet+K6vrw8XFxeNxkZUJyEhAbt37wYA2NjYoLCwENeuXQMA9OjRA5s2bYKenp42QyQaQj3qhBBCCCFEWZSoa0lV89NLSkp4Mte1a1eYmppqNDaiGiKRCD4+Pnz7vffew759+wAAFhYWiI+Ph7m5ubbCIxpWUlLCHzdp0kSLkRBCCCGEEF1HibqWVJWop6amorS0FAANe6/PIiIicPPmTQBAz549ERsby49t27YNXbt21VZoRAsoUSeEEEIIIcqiRF1LqkrUaX56/Zeeno5ly5YBAAwMDPDkyROUlZUBAAICAuDp6anN8IgWyA59p0SdEEIIIYRUhRJ1LWCM8UTd3t4erVu3Fhyniu/1G2MMvr6+PDFr27Ytnj59CgAYNGgQVqxYoc3wiJZQjzohhBBCCFEWJepa8ODBAzx//hxAeW96xWJi0kJyAPWo10dxcXE4evQoAMDKygr37t0DALRo0QKxsbEwMjLSZnhES6TTWQBK1AkhhBBCSNUoUdcC6bJsgPywd8YY71Fv0aIFWrRoocnQSB3l5eVh/vz5gm2gfPh7bGwsWrVqpaXIiLZRok4IIYQQQpRFiboWVDU//eHDh8jJyQFAven1UXBwMDIzMwEAhoaGfP+KFSswZMgQbYVFdIDs0HdayYEQQgghhFSFEnUtqCpRp2Hv9VdSUhLWrVsHANDT0+PF48aOHYvAwEBthkZ0gPTnAQDMzMy0GAkhhBBCCNF1lKhrgTRRb9asGRwdHQXHqJBc/SQWizFr1ixIJBIA5VMYAKBz587YunWrXB0C0vjIDn2nHnVCCCGEEFIVStQ1LCsrC48fPwaguJAcLc1WP23YsAGJiYmCfWZmZti3bx+aNm2qpaiILpFN1E1MTLQYCSGEEEII0XWUqGtYVYXkgH+HvpuamqJLly4ai4vUXlZWFoKCguT2b9y4ES4uLlqIiOgi2aHvxsbGWoyEEEIIIYToOkrUNayq+en5+flIT08HALi4uMDAwECjsZHaCQwMRG5urmCfj48PJk+erKWIiC4Si8X8MSXqhBBCCCGkKpSoa1hViXpKSgp/TMPe64eEhATs3r1bsK9///6IjIzUUkREV1GPOiGEEEIIURYl6homTdTNzc3RuXNnwTEqJFe/iEQi+Pj4CPbZ2toiLi6O5iATOdSjTgghhBBClEWJugbl5OTg7t27AMp7zPX1hR8/FZKrXyIiInDz5k3Bvj179qBdu3ZaiojoMtlEnW7kEEIIIYSQqlCirkHKFpIDAFdXV43ERGonPT0dy5YtE+wLCwvDu+++q6WIiK6jHnVCCCGEEKIsStQ1qKr56WVlZUhOTgYAdOzYEZaWlhqNjSiPMYbZs2dDJBLxfR988IHCyu+ESFGiTgghhBBClEWJugZVlajfunULxcXFAGjYu66Li4vD8ePH+Xa7du2wY8cOuakMhMiSSCT8MSXqhBBCCCGkKpRZaJA0UTcxMUH37t0Fx2SHvVOirrvy8vLw2Wef8W1DQ0Ps378fNjY2WoyK1AeUqBNCCCGEEGVRoq4heXl5vPCYq6srjIyMBMep4nv94OPjg5cvX/LtmJgYhfUGCJHFGANjjG9Tok4IIYQQQqpCibqGyPaYV1dIjnrUddOpU6ewa9cuvj1+/HjMmDFDixGR+qK0tFSwTYk6IYQQQgipCiXqGlLV/HTg3x51a2trtG3bVlNhESWVlZVh9OjRfLtVq1bYvn279gIi9UrFRJ2WZyOEEEIIIVWhRF1DqkrUnzx5gqysLADlvel6enoajY1U7//+7//w4sULAIC+vj5OnDgBU1NTLUdF6gvqUSeEEEIIITVBibqGSBN1Q0NDuLi4CI7RsHfdtn//fuzfv59vL1u2DN26ddNiRKS+KSkpEWxXrFFBCCGEEEKILErUNaCoqAg3btwAAPTo0QNNmjQRHKdCcrorMzMTkyZN4tuurq746quvtBgRqY9ke9T19PRo1AwhhBBCCKkSJeoakJKSArFYDKDq+ekA9ajrktLSUgwfPpyvb29oaIjff/9dy1GR+kg2UdfXpz+7hBBCCCGkavSNUQOqKyQnHfpuZGQkt7460Z4FCxbg6tWrfDsiIgItW7bUYkSkvpId+m5gYKDFSAghhBBCSH1AiboGVJWoFxUVITU1FQDg7OxMRaZ0xN69e/Hdd9/x7Z49e2LevHlajIjUZ9SjTgghhBBCaoK+MWqANFHX09OTm4N+7do1SCQSADTsXVekpaXBy8uLb+vr62Pnzp2UYJFak03UDQ0NtRgJIYQQQgipDyjzULOSkhKkpKQAALp16wZzc3PBcZqfrlsKCgowduxYFBQU8H3+/v5wdXXVYlSkvqOh74QQQgghpCYoUVez69ev8y/p1RWSo4rv2sUYw8yZM3H9+nW+r23btliyZIn2giINgmyPOiXqhBBCCCGkOpSoq5myheQAStS1bf369di9e7dg3/fffw8LCwstRUQaChr6TgghhBBCaoISdTWrKlGXSCQ8UXdwcICNjY1GYyP/OnfuHPz9/QX7PDw8MGrUKC1FRBoS2aHvlKgTQgghhJDqUKKuZrKJesU56Hfu3EF+fr7CY0Rznj17hvHjxwt6PU1NTREVFQU9PT0tRkYaiuLiYv6YEnVCCCGEEFIdStTVSCwW8znoTk5OaNasmeC47LB3StS1QywWY9KkSXj48KFgf0hICBwdHbUTFGlwioqK+GMjIyMtRkIIIYQQQuoDStTVKC0tjX9Bp0JyumnJkiU4fvy4YJ+zs7PcMHhC6oISdUIIIYQQUhOUqKtRTQrJUY+65h0+fBjffPON3P6YmBgYGxtrISLSUBUWFvLHlKgTQgghhJDqUKKuRtUl6tIedUtLS3To0EFTYREAGRkZmDp1qtx+Ly8vDBkyRAsRkYZMdo46JeqEEEIIIaQ6lKirkWyi3qdPH8GxnJwc3L9/HwDg6uoKfX1qCk0pKiqCp6cnXr58KdhvY2ODiIgI7QRFGjTZoe80WoMQQgghhFSHskM1kUgkuHTpEgCgbdu2sLe3FxxPTk7mj2nYu2b5+fnxtpHt3QwPD4ednZ22wiINmGyPOiXqhBBCCCGkOrROkJpkZGQgLy8PABWS0yVbtmzBli1bAJQn6dIl2dzc3ODt7a3N0EgDRkPf64f8/HwMGDAAffv2xU8//UTLMzYQly9fxo4dOyASibQah6GhIczMzGBvb4927dqhe/fu6NKlCwwMDLQal6ZRexBCiHIoUVcTZeenA9SjrilJSUnw9fWV229gYICYmBiafkDURvYLKfWo6y4PDw9cv34d169fx+XLl3H69Gm5ZTVJ/cIYw+jRo3Hv3j1th6KQhYUFBg4ciPfffx9jxoxp8MuCUntUbsmSJVi6dCnfLioqQpMmTWp8nSNHjuD999/n25s2bcKMGTNUEiMhRLMoM1ETZSu+6+vrw8XFRWNxNVY5OTkYN24cT5gcHBx4b7q/vz9cXV21GR5p4GQT9dp88SKaYWj4773rq1evol+/foKbqqT+EYvFOpsUAsCrV69w7NgxBAQEoEOHDhg6dCji4uJQVlam7dDUojG2x7hx46Cvr48bN24oPD5jxgzo6+tj//79AIAdO3Zgx44dcjd1xWIxVqxYgU6dOsHExASdOnXCihUrIBaLBef16tULO3bsQFBQUK1jJoToBupRV5OqEvWSkhJcu3YNANC1a1eYmppqNLbGRiKR4JNPPsHdu3cBAB07dsTt27cBlCfsISEhWoyONAayQ99NTEy0GAmpyoABA5CQkMC3MzIyMGDAAERHR2P69OlajIyogqurK5/6pGmMMZSVlaGgoABZWVnIyMhASkoKzp49i0ePHvHzTp48iZMnT6Jjx44IDQ3FxIkTG+xor8bSHgsXLsS+ffuwdu1abNiwQXBs5cqV2LJlC5YvX47i4mIkJydjypQpCq/j5+eHmJgYTJs2DW5ubjhz5gwWLlyIBw8eIDo6mp/XqlUrTJkyBX/++Se+/fbbGsVKCNExjKicRCJhtra2DACzt7dnEolEcPzKlSsMAAPAPv74Yy1F2Xh88803/PO2trZm9vb2fHv//v3aDo80AhMnTuQ/c5988om2wyGVWLRoEW+niv+mTZvGCgsLtR0iqaHS0lLehu7u7toOR45EImHXr19ny5YtY127dpX7uXN3d2cpKSnaDlNlGmt7vPXWW8zU1JRlZ2fzfQcPHmT6+vrMy8uLMcZYSEgIq+xreXJyMtPT02Nz584V7J87dy7T09NjycnJcs/5448/GAC2adOmGsdLCNENDfM2rZY9ePAAz58/B1Dem16xIBHNT9ecY8eOITg4GACgp6eHN998E0+fPgVQPh911KhR2gyPNBKyQ9+pR71+OHz4MGbPns23t23bhoEDByI9PV2LUZGGRk9PD927d0dQUBBu3LiBY8eOYdiwYfz433//jX79+iEyMhKMMS1G2jioqz2++uorFBUV4YcffgBQ/j1w0qRJGDRokFwvuyI///wzGGOYP3++YP/8+fPBGMPPP/+sdCyEkPqDEnU1kC79BVDFd2168OABJk2axP9nOmvWLBw6dAgAYGpqiqioKKrqTDSC5qjXPyYmJli/fj127twJMzMzAOW1Rfr164cDBw5oNzjSIOnp6eGdd97BiRMncOTIEXTp0gVA+XS5wMBATJgwAYWFhVqOsvFQZXu8++676Nu3L6Kjo3Hv3j14eHigZcuW2Ldvn1IFRv/55x+0aNECHTp0EOzv0KED7O3tcfHixZq/QUKIzqNEXQ2ULSQHUI+6uohEInh6eiI7OxsA8P777+Off/6BRCIBAISEhDT46rpEd5SUlPDHlKjXL5MnT8b58+fRtWtXAEBeXh7GjBmDL774osEW/CLaN2LECCQnJ+Pzzz/n++Li4vDOO+8gJydHi5E1Tqpojy+//BKZmZno168fXr16hcOHD8PW1lap5z5+/Bht2rRReKxNmzaCefWEkIaDEnU1qCpRZ4zxHvUWLVqgRYsWmgyt0QgMDMSFCxcAAI6Ojhg2bBgSExMBAM7OzvD399dmeKSRka4wAFCiXh+5uLggMTER48eP5/tWrlyJt99+G5mZmVqMjDRkJiYmWLlyJQ4dOgRLS0sAwNmzZzF8+HC8fPlSu8E1QnVtD09PTzg5OeH58+eIi4tDt27dlH7twsLCSqdNNWnSBEVFRUpfixBSf1CirgbSRL1Zs2ZyvbYPHz7kd1+pN109du3axSugmpiYYMOGDVi2bBk/HhMTQ2tZE42S7VGnVR7qJ0tLS/zyyy9Yu3YtX8bt1KlT6NOnD06ePKnl6EhD5uHhgVOnTvEb+xcvXsSoUaMEU2qI5tS2PfT19WFgYAAnJye88847NXpNMzOzSq9fXFxM/18hpIGiRF3FsrKy8PjxYwCKC8nRsHf1unr1KmbOnMm3o6OjsX37duTm5gIAvLy8MGTIEG2FRxop2R51+kJVf+np6WHevHk4deoUH4b65MkTvPXWWwgPD6diX0RtevfujRMnTsDOzg5A+U2iOXPmaDmqxqs27fHq1Svcvn27Vt/9WrduXenw9kePHlU6LJ4QUr9Roq5iVEhOe/Ly8jBu3Dhe3MXb2xuOjo7YvXs3AMDGxgYRERHaDJE0UjRHvWEZOHAgLl26xHvFJBIJvvrqK4wePZqGJBO1cXZ2xuHDh/nNvs2bN2PXrl1ajqrxqml7XLlyBRKJpFaJer9+/fDkyRPcuXNHsP/OnTt4+vQp+vXrV+NrEkJ0HyXqKlZdITlamk09GGOYNm0abt68CaD8s129ejV8fHz4OeHh4fzuNyGaJFt0jHrUGwY7OzscOXKEL/8IAIcOHUK/fv0Ef+dJ3YjFYm2HoFP69++PjRs38u05c+ZovE6CtCgrqVl7SP8u9OnTp8avM2HCBOjp6WHt2rWC/WvXroWenh4mTJhQ42sSQnSfobYDaGiUrfhuamrKl/ogdRcZGYl9+/YBKK8NEB8fj++//54n7m5ubvD29tZmiKQRkx36Ll3qi9R/BgYGCA0NxcCBAzFlyhTk5OQgIyMDAwYMQHR0NKZPn67tEOsVxhju3r2LM2fO4OzZszhz5gyuXLkCY2NjWFtbQ1+/bn0L0lVA6rspU6bgyJEj2LVrF16+fInAwEA+ckxdCgsLsXLlSqxatQqlpaWwsbGh9vj/lG0P6YjL2nTS9OrVCzNnzkRUVBTy8/Ph7u6Ov//+G9u2bcNnn30GV1fXur4NQoguYkSlHB0dGQBmbm7OxGKx4FheXh4DwACw119/XUsRNjwnT55kBgYG/LP99ddf2a1bt5iJiQkDwAwMDNiVK1e0HSZpxDp06CD4+SS6adGiRbydjh07VqPn3r17l7322mv8+QDYtGnTWGFhoZqirf+KiorYX3/9xVauXMnGjBnDWrZsKfj8VP3PwsJC229ZZbKzs1nz5s35ezt37pxaXkcikbBffvmFtWvXjtqjCsq0R79+/ZitrW2l1wgJCWFVfS0vLS1ly5YtYx06dGBGRkasQ4cObNmyZay0tFTh+X/88QcDwDZt2lTzN0QI0QnUo65COTk5uHv3LoDyO6YV7zanpKTwxzTsXTUyMzMxYcIEPjxy0aJF+PDDD/Hee+/xCqn+/v50t5lolezQd+pRb5jat2+Pv/76C/7+/oiJiQEAbNu2DUlJSdi7dy86deqk5Qi17/Hjx4Le8osXLwpGm1Skp6cHBwcHFBcXw9DQUK44q7KkRbgaUsEtW1tbLF26FL6+vgCAsLAwHD58WKWvceXKFcybN0+wqoGBgQGsra0rXSpMGY21Pf755x+lriUdadC8eXPBfkNDQwQFBSEoKKjK55eWliI3N5cX0SWE1F+UqKsQFZLTrNLSUkyYMAFZWVkAgLfffhtLly5FXFwcjh49CgBwcHBASEiINsMkhBL1RsLExATr16+Hu7s7Zs6cicLCQly5cgX9+vXD9u3bMXr0aG2HqDGlpaW4cuUKT8rPnj2Le/fuVfkcKysrDBw4EAMHDoSbmxv69++Ppk2b1imOsrIyGBkZAZBPfOq7GTNmYMWKFXjw4AF+++033LhxA927d6/zdbOzs7F48WJs2rRJMB99xIgRWLNmTZ1eg9qjetJaOkVFRbUqPpqQkID333+/xs8jhOgeStRViArJadbChQtx+vRpAEDbtm2xZ88eFBQUYP78+fycqKgoWFhYaClCQspRMbnGZfLkyejduzfGjRuHtLQ05OXlYcyYMViwYAG+/fZbvg57Q5KdnS1Iyi9cuICioqIqn9OlSxe4ubnBzc0NAwcOhLOzc53nPTcmxsbG8Pf3R0BAAABg48aNWLNmTa2vV1paipiYGISEhAhWL+jUqRPWrFmDDz/8sNajGhqDurbHJ598gkGDBgmuVxuvv/46jh07xrednZ1rdR1CiA7Q9tj7hmTixIl8fpKiOdH9+/fnx/Py8rQQYcMRFxfHP0sjIyN29uxZxhhjc+fO5fs9PDyYRCLRcqSEMGZjY8N/Lq9fv67tcEgl6jJHXZG8vDw2fvx4wbzcIUOGsMePH6sgWu0pKytjycnJbMOGDew///kP69y5c7Xzkc3MzNjQoUPZwoUL2a+//sqePXumkVhLS0t5DO7u7hp5TU16/vw5MzY2ZgBYq1atWFlZWa2uc+zYMebs7Cw3hzw8PJwVFxerLF5qD0IIUV7Du62vRdIedRMTE7nhTmVlZUhOTgYAdOzYEZaWlhqPr6FIS0sTVHCPjIzEgAEDkJSUhHXr1gEo77WMioqiu/9EJ8guMVXbXhJS/1haWuKXX36Bu7s7Pv/8c5SVleHUqVPo06cPfvnlF7z55pvVXqO0tBQHDx5EUlISCgsL0bRpU4wYMQIDBw7U2N+33NxcnD9/nveWnzt3Dnl5eVU+p3379oLecldXVz7kmaiOjY0N3nvvPRw6dAiZmZk4f/483NzcAAAZGRmIjY3F06dPYWhoCCcnJ0ycOBHNmjXjz8/IyEBAQAAOHjwouK6Xlxe+/fZbtGrVSpNvp96ra3sQQoiAtu8UNBS5ublVVnS/fv06Pz5u3DgtRNgwvHr1ivXo0YN/lh9//DGTSCSsrKyMvf7663z/ihUrtB0qIZyFhQX/2bx//762wyGVUHWPuqwzZ86wNm3a8Ovr6+uzFStWVDrqp7S0lH3zzTesVatWCnuoe/fuzWJjY1UaI2PlVb7T0tLYjz/+yGbOnMlcXFyYnp5elb3lxsbGbODAgSwgIIDt3buXPXr0SOVx1VZD78FljLHNmzfz9xgaGsouXrzIPvjgA4XtZmZmxj799FOWkZHBFi5cyHt/pf/eeOMNdv78ebXFSu2huD2ePn2q7bAJITqIEnUVOXXqFP/D+9lnn8kd37NnDz8eFhamhQjrP4lEwiZNmsQ/xx49erBXr14xxhiLjo7m+52dnZlIJNJytIT8y8zMjP98ZmVlaTscUgl1JuqMMfb06VP2zjvvCL6of/TRR+zFixeC84qLi9kHH3yg1BJXdf3/SUFBAfvzzz/Zt99+yzw8PARLTFX2r2XLlmzs2LFs1apV7O+//2ZFRUV1ikGdGkNimJGRIegokP17U9k/2SVNpW26fft2uWVlVY3aQ/G/jh07srt37wquIxKJ2IkTJ9j+/ftZYmIiTeUjpBGioe8qUpNCclTxvXbWr1+P3bt3AwAsLCwQHx8Pc3NzZGVlCZYriYmJoeHFRKfIDn2vy7JGpH6zs7PDkSNHsHTpUoSFhQEADh06hH79+iE+Pp4XGf3000/x3//+F0D5EmWjR4/G1KlT0bJlS1y7dg0bN25EYmIiACA4OBitW7cWTAeqDGMM9+/f50Xfzpw5gytXrgiKHVZkYGCAXr168SHsbm5uaN++PU0r0iGOjo6wsbFBTk4O/7kAylc9mTVrFoYMGYKioiJs2rQJ8fHxkEgk/G+StADaokWLaEqeiijbHgcPHsSPP/6IgoIC3L59G++//z4uXLgAc3NzrF27FhEREXxVGwDo2bMnVq5ciREjRmjjbRFCtEHbdwoaik8++YTfGU1MTJQ7/t5779HQ1zo4e/YsMzIy4p9hXFwcPybby+7l5aXFKAlRTPZnt6CgQNvhkEqou0dd1n//+19BkUETExO2efNmlpKSwveZmpqyP/74Q+Hzw8PD+XmtWrViJSUlcucUFxezs2fPstWrVzNPT0/WunXranv2bGxs2IcffsiWLVvGTpw4wfLz89X6OahbY+jBZYyxQYMGCdpxzJgxfKRDVlYW8/b2Vjj0OiQkRKNxUnsI3b9/n3Xp0oWfFx0dzT7//PMqR0IcOHBAC++IEKINlKiriIuLCwPADA0NFf4xbtmyJQPArK2tafhSDT19+pS1bduW/48qICCAHzt+/LjgCybN8yK6yNDQkP+clpaWajscUglNJuqMMXb37l322muvCb6Id+vWjT+OjIys8vkeHh783NjYWJaZmcni4+PZ559/ztzc3JiJiUm1iXmPHj3Yp59+yrZu3cpSU1Mb3P+fGktiOGbMGP4+bW1tWUFBAROJRGzlypXM0tJS0OaOjo78sbOzs0bbvDG3R2UuXrzIz3Vycqr2d7ZFixY0vY+QRoKGvqtAUVERbty4AQDo0aMHmjRpIjj+5MkTPnypd+/eNGSwBsRiMSZNmoSHDx8CAAYNGoQVK1YAAEQiEXx8fPi54eHhsLOz00qchFRFIpHwxwYGBlqMhFRFdoqCJrRv3x5//fUX/P39ERMTAwBITU0FUD5Forrh7H5+fvj1118BANOmTUNBQUGV51taWuKNN97g1djfeOMNqjjdQLx48YI/HjlyJP7880/4+/vj5s2bfH/Tpk2xZMkS+Pr6YujQoThz5gyuX7+OGzdu8LW2L126hN9//x0zZ86EjY2Nxt9HQ1GxPczMzCo9t2/fvnBzc8OZM2eQkZFR7bWfPHmCgwcPYvz48SqJlRCiuyhRV4GUlBT+BU/R/PQrV67wx9I5iEQ5S5YswfHjxwEALVq0QGxsLF/iJyIign8JcXNzU2qOJiHawBgDUD7fmG7U6S7pEpoABHND1cnExATr16/HwIED8cknn/D95ubmaNq0aZXPlS77BEBhkt6pUyfB3PIePXrQjaIGqrS0lD8+d+4ctm/fzrf19PQwY8YMLFu2jN/MHjhwIM6cOQMAGDp0KK/rkpWVBbFYjE2bNuHmzZv081JLsu3RtWvXas+XbQ9lSDuHCCENGyXqKkCF5NTj8OHD+OabbwCU90LGxsbyNV3T09OxbNkyfiwmJgb6+vpai5WQyrDyKUYAQEm6jnv69Cl/nJOTo7HXzc7Oxs6dOwX7lPl7lp+fLzjf3d2d95YPGDAA9vb2Ko+V6Cbp3xgASEtL448HDRqE7777Tu67yatXr/jjZ8+eyV0vIyMDmzZtwqxZs9QQbcMne4OjuLi42vNl20MZVDCXkMaBEnUVqEmiTj3qysnIyMDUqVP59ooVKzBkyBAA5V9IfH19IRKJAAD+/v5wdXXVSpyEVEd2ODXdTNJtRUVF/LGVlZVGXvPcuXMYP348n94jlZ2djWvXrqFHjx6VPjc+Pp4//uyzz7B+/Xq1xUl0k0QiwY8//oh//vlHsL9t27ZYuXIlJkyYIHeDsLS0FAcPHuTbrVq14n+bRCIRsrOzAQBBQUHw9PRE8+bN1fwuGh7Z1T2q6ymv2B7KeO+992oVFyGkfqFvjSogTdT19PQU9phLh74bGRmhe/fuGo2tPioqKoKnpydevnwJABg7diwCAwP58bi4OBw9ehRA+XInISEh2giTEKXIDoGkRF23FRYW8sfVDTuvK8YYvv/+ewwZMoQn6fb29pgzZw4/Z+nSpYKeUll5eXlYvXo13549e7Za4yW65+zZs3jjjTcwffp0lJSUCI7FxcVh4sSJCkfxbNiwgU/tGDt2LB4/foyHDx/i4cOHePbsGaZMmQKgfJ71woUL1f9GGiBTU1P++MSJE4IpkBXJtsfIkSOrrRsxdOhQ6vQhpLHQYiG7BkEkEjFjY2MGgHXv3l3ueGFhIdPX12cAWK9evTQfYD00ffp0Xt20c+fO7OXLl/xYbm4ua9WqFT++f/9+7QVKiBJevnzJf16bNGmi7XBIFaSrcwBgv//+u9peJz8/n02cOFFQyXnQoEHs0aNH7OXLl8zc3JzvnzZtGnvy5Ing+VevXmX9+/fn5wwePFhtsdZ3DbHK+KNHj9iUKVOqrAxub2/PDh8+LKjoXlRUxCIjI5mBgQE/LyEhQe76mZmZzMrKip9z9uxZlcXeENtDEVdX11q3x6lTpwSfv+w/Z2dnlpmZqcV3RgjRJErU6+jSpUv8D+jkyZPljicmJvLj//nPfzQfYD2zefNm/nmZmZmxlJQUwfG5c+fy4x4eHg1uKSHS8Dx79oz/zJqbm2s7HFKFpk2bqn15tmvXrgmWYAPAAgMDBeugx8bGCo4bGRkxDw8PNnPmTObm5iY4ZmNjw9LS0tQSa0PQkBLDoqIitmzZMsGNHADMxcWFJ3tNmjQRHOvcuTPz9vZmkyZNYjY2NoJjfn5+lf4/dO3atfy8vn37srKyMpW8h4bUHpURiUTMyMioTu1x584d9vnnn7N27dqxpk2bMhcXFxYZGclyc3O1/O4IIZpEiXodbdmyhf+RXb16tdzxTZs28eNr1qzRfID1yMWLFwXr/u7cuVPuuHR0gqmpKbtz5452AiWkBh4/fsx/pq2srLQdDqmCdHSUuhL13bt3C5IsKysrFh8fr/DcXbt28S/7lf1r06YNu3z5ssrjbEgaQmIokUjY/v375dbYtrGxYdHR0ezUqVN83/jx49ngwYOr/LkBwObNm1dl8l1aWsp69uzJz4+JiVHJe2kI7VGdM2fOqLw9CCGNE02YrCOq+K4aOTk5GDduHC8Q5+Pjg8mTJ/PjYrEYs2bN4utRh4SEwNHRURuhElIjsnNHaakj3SUSieTm+ary2nPmzMGkSZP4Mmqurq74559/MHbsWIXPmTRpElJTU/HFF1/A1tZWcKxr16747rvvcPXqVfr/SgN3/fp1DB8+HGPGjOFrbOvr68PX1xe3bt2Cj48PTpw4wc8fMWIEEhISEBcXh2HDhgmuZWxsjClTpuDvv//G2rVrq/x7ZGhoiOjoaL4dFBTEi8yRqklr6ACqaw9CSCOl7TsF9d3AgQP5HdEXL17IHR80aBA//vz5c80HWA+IxWL24Ycf8s+pf//+rLi4WHBOdHS0YI6WSCTSUrSE1MzNmzf5z27z5s21HQ6pxKNHjwQ9XKrqUb93755gPjkA5uXlxQoKCpS+RlFREbt58ya7dOkSy8jIoCk/NVBfe3BzcnLY3LlzBfOXAbC33nqLJScnC86VnQ997949wbHMzEx25coVdv36dUG9F2XJzoWfMWNGnd4TY/W3PWpCne1BCGlcaHm2OhCLxbzH3MnJSa5Sp0Qi4ZU+HRwcYGNjo+EI64fly5fjt99+AwDY2toiLi5OsLRJVlYWgoKC+HZMTAytIUrqDdlK4tRjorueP3+u8mv+/vvvmDx5Mr+2iYkJ1q1bh+nTpyusxl2ZJk2aoHPnziqPj+gesViMTZs2YfHixYKfSUdHR6xevRpjxowR/OxcvnwZycnJAID+/fujXbt2guu1bNkSLVu2rHU8K1euxKFDh5CXl4fNmzdj+vTpGDBgQK2v19Cpuz0IIY0LDX2vg7S0NL7urqJh73fu3EF+fj4AWj+9MseOHUNwcDCA8uXt9uzZI/c/tsDAQOTm5gIAvLy8+HrqhNQHsmtzGxrSvVFdpcpEXSwWIyQkBO+//z6/bocOHXDmzBnMmDGjRkk6aTxOnTqFfv36Yfbs2fznxszMDGFhYbh+/TrGjh0r97MjOzzdy8tL5TG1bNkSoaGhfNvX1xdisVjlr9NQqLs9CCGNCyXqdVDd/HTZdTMpUZf34MEDTJo0ia8THBoainfffVdwTkJCAnbv3g0AsLGxQUREhMbjJKQupHOSAUrUdZmqEvXs7Gx88MEHCA0N5X/bPDw8cPHiRYX/nyBVKysr03YIanfv3j1MmDABb775puB7w6RJk5CWlobFixcL1uWWevDgAbZv3w4AsLS0FNR1USVfX1/07NkTQPn3nk2bNqnldeo7TbUHIaTxoG+NdUCF5GpPJBLB09OTF6f54IMPBMPbpef4+Pjw7fDwcNjZ2Wk0TkLqinrU6wdVJOrnz5/H+PHj8eDBAwDlRb+WLVuGL774Avr6dF+8KhKJBPfu3cOVK1eQnJzM/6Wnp8PExAQ2NjZ1Homga8XQCgsLERERgfDwcBQXF/P9ffv2RVRUFNzd3at8fnBwMEpLSwEAc+bMgZWVlVrilBaWk45m8/X1RWhoaJ1/pnWtPepKU+1BCGk86FtjHcgm6n369JE7Tj3qlQsMDMSFCxcAlM+927Fjh9z/9CMiInDz5k0AgJubG7y9vTUeJyF1JTtH3cjISIuRkKrUJWlgjGHdunUIDAzkX9Tt7e3x888/y1V6JkB+fj5SUlKQnJzME/OUlBQ+Vayi4uJiPH78uM6v++jRozpfQxUYY4iLi8OCBQtw//59vt/Ozg7ffvstpk2bVm09i9OnT/PeW2trawQGBqo15sGDB2PKlCnYuXMnJBIJMjMz63xNXWkPVdB0exBCGgdK1GtJIpHg0qVLAIC2bdvC3t5e7hxpj7qlpSU6dOigyfB02q5du/g8LhMTE8THx8sV2ktPT8eyZcsAlBfgiomJoR4pUi9Rol4/1LZH/dWrV/j000/x888/832DBg3CL7/8gtatW6sqvHpJIpHg9u3bgh7yK1eu4M6dO0o939TUFK1bt0Z+fj4MDQ1r3aMuTQjbtGlTq+er0pUrVzBv3jycPHmS7zM0NISfnx++/vpruaK0iuTn5wtuXC9dulRuCT91iImJQV5eHs6fP1+n0UG61B6qoK32IIQ0fJSo11JGRgby8vIAKB72npOTw++Uu7q6UpL5/129ehUzZ87k29HR0XKfH2MMvr6+fE11f39/uLq6ajROQlRFdkgrJeq6qzaJ+vXr1zFu3DikpqbyfYGBgVi+fHmja+uXL18q7CWXvVFVlfbt28PV1RW9evWCq6srXF1d0alTpzqvlFBWVsbbonnz5nW6Vl1kZ2dj8eLF2LRpEyQSCd8/YsQIrFmzBt27d1fqOowxzJw5E+np6QCAAQMGCKaIqZOFhQUOHjxYp2voSnuoijbbgxDS8FGiXkvVzU+XLs8B0LB3qby8PIwbN45/cfP29sb06dPlzouLi8PRo0cBlC9rFxISotE4CVElStTrh5om6nv27MGnn37KiwVaWVlh27ZtGDt2rDrC0xlisRi3bt2S6yWXHcJdFXNzc/Ts2ZMn47169YKLi4tSPcn1UWlpKWJiYhASEoKXL1/y/Z06dcKaNWvw4Ycf1mikQGhoKB+9YWVlhZ07d9Kyj1pE7UEIUSdK1GuJCsnVDGMM06ZN43POe/fujXXr1smdl5eXh/nz5/PtqKgoWFhYaCpMQlROtpicsbGxFiMhVVE2UReJRAgMDBQsw+Tq6oq9e/c2uLXOc3JyBD3kycnJuHr1quDmU1WcnJzkesmdnJwazQiz48ePY968ebh+/TrfZ2FhgeDgYMybNw8mJiY1ut6aNWuwZMkSAOXLmW7fvh0dO3ZUZcikBqg9CCHqRol6LdUkUacedSAyMhL79u0DADRr1gzx8fEKl5sJDg7mRWo8PDwwatQojcZJiKrJJjWUqOsuZYrJ3b9/H+PHj+eFMIHytZKjo6NhZmamzvDUqqysDGlpaXK95MoW+7K0tOSJuGwvuaWlpZoj100ZGRkICAiQGybu5eWFb7/9Fq1atarR9RhjCAkJQVhYGN+3atUqjB49WhXhkhqi9iCEaAol6rXAGOOJur29vcKCQdKK7/r6+nBxcdFofLrm1KlT+PLLL/n2jh074OTkJHdeUlIS72U3NTVFVFRUnZfjIUTbKFGvH6rrUf/9998xefJkfp6JiQnWrVuH6dOn16u/U8+ePZPrJb927RpKSkqqfa6enh46deok6CF3dXWFo6NjvfoM1OXVq1f49ttvsXr1asHn+cYbbyAqKgr9+/ev8TXz8vIwffp07N27l+9bunQpAgICVBIzqRlqD0KIJlGiXgsPHjzgX9b69u0r9wWlpKQE165dAwB07dpVYc9xY5GZmYkJEyZALBYDABYtWoSRI0fKnScWizFr1ixeZCckJASOjo6aDJUQtaBEXfeJxWK8ePGi0mOhoaEICwsDYwwA0KFDB+zdu1fhaCpdUVJSgtTUVEEPeXJyMrKyspR6frNmzeR6yXv06AFzc3M1R17/MMawa9cufPnll4Jl5Fq2bInw8HBMmTKlVsP9//jjD3h7e+Pu3bt839q1azFv3jxVhE1qiNqDEKJplKjXgnRZNkDxsPfU1FS+lm5jHvZeWlqKCRMm8C+Gb7/9NpYuXarw3A0bNiAxMREA4OzsDH9/f43FSYg6SVcvAChR11UvX77kSbis7OxsTJ48mRe3BMqn5Gzfvh3W1taaDLFSjDE8efJErpf8xo0b/P9DVdHX10eXLl3keskdHByol1wJ//zzD+bOnYuzZ8/yfcbGxvD398eiRYtqNfz/9u3bWLx4sWDJPysrK+zatUvhjW6iXtQehBBtoUS9Fmh+unIWLlyI06dPAyhfa37Pnj0Kq6FmZWUhKCiIb8fExFBCQxoM2US9psWjiGYoGvZ+/vx5eHt748GDBwDKE9ply5bhiy++0FoxtOLiYty4cUOul/zZs2dKPd/GxoYn5NL/Ojs7N+pRX7X15MkTBAUFYdu2bYKbPB999BFWr16NTp061eh6jDGcO3cO69atQ2xsLMrKyvixwYMHY/v27ejQoYPK4idVo/YghOgCStRrgSq+V2/v3r1YvXo1gPIlqeLi4mBnZ6fw3MDAQOTm5gIoL7YzZMgQjcVJiLpRoq77FBWSW7x4MX9sb2+Pn3/+GcOGDdNIPIwxPH78WK6XPDU1lU8jqoqBgQG6desm10veunVr6iWvo5KSEkRFRSE0NBT5+fl8f7du3bB27VqMGDFC6Wvl5+fj3LlzOHbsGA4cOIBbt24Jjtva2mL58uWYPn16o6mUr03UHoQQXUOJei1IE/VmzZopnEctLSQHNM4e9bS0NHh7e/PtyMhIDBgwQOG5CQkJ2L17N4Dy3p6IiAiNxEjq5vLly9ixY4cgCdUGQ0NDmJmZwd7eHu3atUP37t3RpUsXnVrHVvYzatKkiVpeg9qjbqoqJDdo0CD88ssvCouGVqYm7VFWVoacnBxkZ2fj+fPneP78ObKzs5VuS1NTU9ja2sLW1hbNmzeHra0tbGxsYGBgAENDQ+Tm5iItLQ1FRUX1pj3U5fbt25gzZ06tn3/37l38/fffgvXQjY2N0b9/f7i4uODXX3/Fr7/+Kvc8kUiEzZs3o2XLlnjrrbfw5MkT3L59G/fu3VM45cLW1hZ+fn7w9/eHlZVVrePVdXVtj9qi9iCE1BuM1EhmZiYDwACwt956S+64RCJhNjY2DABr0aKFFiLUrlevXrEePXrwz+jjjz9mEolE4bnFxcWsS5cu/NxNmzZpOFpSGxKJhLVv3563m679s7CwYO+++y6LjIxkd+7c0fbHxUaOHMljCwgIUPn1qT3qbtu2bQpjDwwMZCUlJTW6FrWHbiktLdX6Z67MP319fTZ06FC2bds2VlhYqO2PTW2oPQghRHmUqNfQf//7X/6H/PPPP5c7fv/+fX58xIgRWohQeyQSCZs0aRJ//z169GCvXr2q9PzQ0FB+rpubGxOLxRqMltRWffmiJf335ptvstjYWFZaWqqVz2v48OE8lqCgIJVfn9qj7latWsXjMzQ0ZE2bNmXx8fG1uha1h+4ZNWqU1j/niv+srKzYG2+8wXx8fNiuXbvYs2fPtP0xaQy1ByGEKIeGvtdQdfPTG/Ow9/Xr1/Nh7BYWFoiPj690KZ/09HQsW7YMQPl8ypiYGJrzVQ+5urpiy5YtWnltxhjKyspQUFCArKwsZGRkICUlBWfPnsWjR4/4eSdPnsTJkyfRsWNHhIaGYuLEiRr9WZNdT1ldQ9+lqD1qR3bo+549e+Dh4aFUPQGJRIJ79+4J5pEnJycr/brGxsZwcnJCp06d0LlzZ/5fVVSUr8/toWr79+/H1atXlZ5OIJFIcPjwYURHRyMnJ4fvt7e3x7x58/Duu+/WeK7/ixcv0KxZMzRr1gz29vawsrJqtPUCatoe6kDtQQipDyhRryEqJKfYuXPnBEuqbdu2DV27dlV4LmMMvr6+/H/S/v7+cHV11UicRLUsLS3x2muvaTsMAcYYUlNTsX//fvz0009IS0sDUD4fcvLkyVi/fj1++OEHuLi4aCQe2URd3dW1qT1qR7aYXMeOHRUm6fn5+UhJSREUeEtJSREUFKtK27ZtBdXWXV1d0aVLFxgaavZ/w/WhPVRNT08PPXv2VOrcs2fPYu7cufjnn3/4viZNmmDBggX48ssvaR15FahJexBCSKOmxd78esnR0ZEBYObm5gqHao8bN44Ppbp+/boWItS8p0+fsrZt2/L3Xd083F9++YWf6+DgwPLz8zUUKVEF2aG97u7u2g6nShKJhB07dowNGzZMMMzR2NiYrV69utL6Car0+uuv89f9/vvvVX59ao+6Gzt2LI/lzp077ObNm2zv3r3s66+/ZqNHj2YdOnRQegitqakpf9yhQwf2559/sufPn2vlfVVHV9tDGx49esSmTJki157jxo1rFHP5CSGE6B5K1Gvg+fPn1X4h7tSpE/+yVlZWpuEINa+srIy98847/HMZNGhQlcWXcnNzWatWrfj5+/fv11ywRCXqU2Io68iRI4LihQDY+PHjWUFBgVpft3fv3vz11FEwkdqj9l68eMFOnTrF/24DYGZmZkon5e3bt2ceHh5s8eLFLDY2lqWmprLi4mJqj3qkqKiILVu2jJmbmwvee8+ePdmJEye0HR4hhJBGjIa+18ClS5f4Y0XD3vPz85Geng4AcHFxaRRL4CxZsgTHjx8HALRo0QKxsbEwMjKq9Pzg4GBkZmYCADw8PDBq1CiNxEnIiBEjkJycjMWLF2PVqlUAgLi4ODx8+BCHDx+GjY2NWl63tLSUP6Zhs//SZHuIxWLcunVLMI/8ypUruH//vty5hYWFcvvMzc3Rs2dPPmS9V69ecHFxQbNmzeTOLSsrU1ncmqSt3w9tYYzh4MGDCAwMREZGBt9vY2ODsLAwzJw5U+PTEgghhBBZ9H+hGqhufnpKSgp/3BgKyR0+fBjffPMNgPKCcLGxsWjVqlWl5yclJWHdunUAyufqRkVFUfEWolEmJiZYuXIlhgwZgsmTJyM/Px9nz57F8OHDcfz4cYWJV13JJm7qnqNe36ijPXJycgTzyJOTk3H16lUUFxcr9XwnJye5ueROTk4NrsCaItr4/dCG69evY968efwmMwDo6+tj9uzZCA0NbXA3JQghhNRPlKjXABWS+1dGRgamTp3Kt1esWIEhQ4ZUer5YLMasWbMgkUgAACEhIXB0dFR3mIQo5OHhgVOnTuG9997DkydPcPHiRYwaNQpHjx5Vqtp3Tcj2qFOirlht2qOsrAxpaWlyveSyFc2rYmlpCVdXV/Ts2RMbN26ERCJBjx49cPXqVVW+tXpJk78fmvTixQssWbIE0dHREIvFfP9bb72FtWvXUoEzQgghOoUS9RqQJuomJibo3r273HHZRL0h96gXFRXB09MTL1++BACMHTsWgYGBVT5nw4YNSExMBAA4OzsLKsQTog29e/fGiRMnMHToUDx79gynTp3CnDlzsGnTJpW+jmyPupmZmUqv3ZBU1R7Pnj2T6yW/du2aoKJ+ZfT09NCpUydBD7mrqyscHR2hp6eH/Px8/PDDDwDKl98i5TT1+6EJYrEYmzZtwuLFiwVL8Tk6OmL16tUYM2YMje4ihBCicyhRV1JeXh5u3rwJoHytYkXzsGXXUG/Iy435+fnx+fqdO3fG1q1bq/ySk5WVhaCgIL4dExMDY2NjtcdJSHWcnZ1x+PBhDB06FEVFRdi8eTOGDh2KyZMnq+w1KFFXXqdOnbBmzRpMmzYNpaWl2Lx5M+Li4pCbm6vU85s1ayZIxnv16oUePXpUWRtANnGztbWt83toSDTx+6Fup06dwty5cwX/fzYzM8PChQsRGBhIo1wIIYToLErUlST7P3lFw97LysqQnJwMoHwdXktLS43FpklbtmzBli1bAJR/2dm3bx+aNm1a5XMCAwP5F20vL68qh8gTzWCMUQ/S/9e/f39s3LiRT+WYM2cO3nrrrSrrLdSE7BBbRYm6RCJpFPOfZTHG8OTJE7le8hs3bgimCgBQmKTr6+ujS5cucr3kDg4ONf65rpioS6fnNLY2qYy6fz/U5d69e/jiiy8QGxsr2D9p0iSEh4ejbdu2WoqMEEIIUQ4l6kqqbn76rVu3eLGihjrsPSkpCb6+vnx748aNcHFxqfI5CQkJ2L17N4DyaroRERFqjZFU7tWrV4iIiEBkZCTEYjGsra3rnIxkZ2erKDrtmjJlCo4cOYJdu3bh5cuXCAwM5D+3dVVVon7+/HmMGDECIpGowbZHcXExbty4IZhHnpycjGfPnil9DXt7e3z88cc8MXd2dlZZT6hsos4Yg7W1NUQiEWxtbet8M0sX26M21Pn7oWqFhYWIiIhAeHi4oIBg3759ERUVBXd3dy1GRwghhCiPEnUlVZeoy/a4N8REPScnB+PGjYNIJAIA+Pj4VDv8USQSwcfHh2+Hh4fDzs5OrXESeWKxGNu3b8eiRYuQlZXF90uXyasLZQt31Qffffcdfv/9d2RnZ2PPnj2YN28e3njjjTpfV3bou+xIm5KSEnh5efEe4/reHowxPH78WK6XPDU1VXCzojIGBgbo1q0bT8YdHR0xe/ZsvHjxAk+fPsXHH3+skvaoSDaZvnnzJvLy8gAAjx8/rvO16fdDcxhjiIuLw4IFCwTL7tnZ2eHbb7/FtGnTGsWSqYQQQhoOStSVJE3UDQ0NFfYiN+SK7xKJBJ988gnu3r0LoHwoZGRkZLXPi4iI4PP63dzc4O3trc4wiQIJCQkICAjg0zKA8oTI2tq6TtWbpQlImzZt6hyjrrC1tcXSpUv5qJGwsDAcPny4zteVDqUGhFXf165di9TUVABAkyZNYGNjU+seXE23R1FREa5duybXS56Tk6PU8+3s7HhCLv1v9+7d5X4mnz9/rvL2qEi2R72goIA/btGiRa3X0abfD826cuUK5s2bh5MnT/J9hoaG8PPzw9dff91glpUjhBDSyDBSrcLCQmZgYMAAsF69eik857333mMAGAB2//59zQaoZt988w1/b7a2tuzevXvVPufWrVvMxMSEAWAGBgbsypUrGoiUSN24cYONHDmSt5v039ixY9mtW7fqdO3S0lJ+PXd3dxVFrBtEIhFzcHDg7+/69et1vqa5uTm/XllZGWOMsQcPHvD9enp67OLFi7W+vjrbQyKRsHv37rFDhw6xb775hv3f//0f69atG9PX15f72VL0z8jIiPXq1YtNnTqVrVy5kv3+++8sKytL6ddXR3tUFBISwq/fuXNn3iYikahW16PfD8159uwZ++yzz+R+HkeMGKH12AghhJC6oh51JaSkpPChm4qGvQP/9qhbW1s3qCI1x44dQ3BwMIDyZY727NmDdu3aVfkcxhh8fX35MHl/f/8GXQVfl2RnZ2Pp0qWIiYkRDDfu168fIiMjqZBfNYyNjeHv74+AgAAA5XUY1qxZU6dryvaoS4feBgYG8t7b2bNnV/p3RZMKCgpw9epVuaHrylZcb9WqlaCH3NXVFV27dq3TCg/qaI+KZHvUpcPgW7duTStTKKCJ9lBGaWkpYmJiEBISwpcJBf5dNeDDDz+kYpmEEELqP23fKagPYmJi+J3677//Xu54VlYWPz5s2DAtRKge9+/fZ82bN+fvLSwsTKnn/fLLL/w5Dg4OLD8/X82RkuLiYrZq1SrWtGlTQc9SmzZt2E8//cTEYrHKXqsh9xgyxtjz58+ZsbExA8BatWrFe8FrSzqyRPrn9tixY3y7efPmLCcnp07Xr2l7iMVilpGRwfbv38+WLl3Kxo0bxzp37sz09PSU6iU3MTFhffv2ZV5eXiwyMpIdP36cPX36tE7voSqqbo+KPv74Y7n36ObmVuvr0e+Heh07dow5OzsL2svCwoKFh4ez4uJijcZCCCGEqBP1qCuhMRaSE4lE8PT05D1MH3zwgWAt9Mrk5eVh/vz5fDsqKgoWFhbqCrPRY4xh3759+OKLL5CRkcH3m5mZ4auvvkJgYCCt3V1DNjY2eO+993Do0CFkZmbi/PnzcHNzq/X1pD3qenp6KCkpgZ+fHz8WHh4Oa2vrOsdcmfz8fKSkpAh6yVNSUpCfn6/U89u2bSvXS96lS5daz92ujaraIyMjA7GxsXj69CkMDQ3h5OSEiRMn1mhOsqLK7NWNGmrM1N0elcnIyEBAQAAOHjwo2O/l5YVvv/1W55eLI4QQQmqKEnUlSBN1PT09hYXiGmIhucDAQFy4cAEA4OjoiB07dii1dFRwcDCvXu3h4YFRo0apNc7GLDExEQEBAfjrr7/4Pj09PUybNg1hYWFo3bq1FqOr3z766CMcOnQIQHlBPlUl6rIF5AYMGAAvL686xyorOzsbISEhPDG/c+eOUs8zNTWFi4sLT8Z79eqFnj17wsbGRqXx1VbF9mjSpAmCg4Pxv//9D4wxwbmBgYGYPHkyli1bptQqE9Kh7/r6+ryt2rdvr+J30LCosz0qevXqFb799lusXr0aJSUlfP8bb7yBqKgo9O/fv25vhhBCCNFVWu7R13kikYgP8+vevbvCc2SHTl6+fFnDEarezp07BcNclS10dfHiRV7Ux9TUlN25c0e9gTZS9+/fZ1OmTJEbrjts2DB26dIltb9+Qx/ayxhjGRkZ/D1+8MEHdbqW9HfCwMBAJQXkXrx4wU6dOsXWrVvHPv30U9a/f3+lhqxL/7Vv3555eHiwxYsXs9jYWJaamqrx4cs1Jdser7/+OjMzM6v2fXbs2JHdvXu32mu3b9+eD5+WPnf9+vW1jrWx/X6ouj2kJBIJ27FjB2vdurXgOi1btmTbt29X6XQeQgghRBdRj3o1rl+/zu/iV1bwSTr03cjICN27d9dYbOpw9epVzJw5k29HR0crVehKLBZj1qxZvEcqJCQEjo6O6gqzUXr16hUiIiKwatUqFBUV8f1dunTBqlWrMHLkSCqgpCKOjo6wsbFBTk6OYOpLbbD/38MokUhqVEBOLBbj1q1bvKibtJdcdo3oqpibm6Nnz56CXnIXF5d6uVSVbHskJiby/Q4ODpg1axaGDBmCoqIiHDx4ED/++CMKCgpw+/ZtvP/++7hw4UKV02+kPeomJiZ49eoVAOpRr4462wMA/vnnH8ydOxdnz57l+6SF7BYtWgRLS0u1vTdCCCFEZ2j7ToGu27JlC7+Tv3r1arnjhYWFvMessqXb6ovc3FzWpUsX/n69vb2Vfm50dDR/nrOzc62XNiLyysrK2JYtW1jLli0FPUs2NjYsKiqKlZSUaDSextBjyBhjgwYN4u+zLgURUaFnUVEBuefPn7M//viDrV27lnl7e7PXXnuNNWnSpEY95fj/xRvj4+PZrVu3GlyPo2x7AGBjxoxhRUVFcufdv39f8HcsOjq60msWFxfz8+zs7PjjlJSUWsfZGH8/VNUeWVlZzNvbW66w4UcffVTnZSUJIYSQ+oZ61KtRXSG5a9eu8V7k+lxIjjGGadOm4ebNmwDK38u6deuUem5WVpag0FxMTAwtbaQiCQkJCAgIQHJyMt9nZGQEPz8/LF68WK2FyBq79u3b8/n/Dx8+RLdu3VRy3blz5+LIkSOCXvJHjx4p9VxLS0veQy7tJe/WrRufS96uXTuMHTtWJXHqGtn5zba2tti5cyeaNGkid56DgwP27NmDfv36ASgfFTR79myFo01kl2aTXUaPetSrp8r2KCkpQVRUFEJDQwWFDrt164a1a9dixIgRanwnhBBCiG6iRL0asom6okRctpBcfU7UIyMjsW/fPgBAs2bNEB8fD1NTU6WeGxgYyNda9vLyorW6VSA1NRULFizA4cOHBfvHjh2L8PBwdOrUSUuRNR62trb88YsXL1RyTT09PXz99ddKndepUydBtXVXV1c4OjrKJZxlZWUqiU3XybbByJEjq1zNoG/fvnBzc8OZM2dw/fp13LhxA87OzgCAS5cu4ffff8fMmTMFibpIJAIAWFtb09BqJaiqPc6fP49PPvmE3yQGgKZNm2LJkiXw9fWFkZGR+t4EIYQQosMoUa+CWCzmibiTk5PCuZ0NoeL7qVOn8OWXX/LtHTt2wMnJSannJiQkYPfu3QDKl+2JiIhQS4yNRXZ2NpYuXYqYmBiIxWK+v1+/foiMjKSbIBoke6Pqo48+gomJSY2vIdtLC0CuIjZQfmOsYi95jx49YG5uXvOgG7DS0lL+uGvXrtWeP3DgQJw5cwYAMHToUD7KJysrC2KxGJs2bcLGjRv5+dL6AbQ0m3JU3R5A+Q2qGTNm1LpCPCGEENKQUKJehbS0NF60q7pCckD9TNQzMzMxYcIE/kVp0aJFGDlypFLPFYlE8PHx4dvh4eH05aqWRCIR1q1bh7CwMD46AQDatGmD5cuXY/LkyUotj0dURzapVrTWdm20bNkSb775piAxd3BwoCKASjAwMOCPi4uLqz1fWhgOAJ49eyZ3PCMjA7/88gvflrY3DXtXjqrbw8LCAidPnlSqeCkhhBDSGFCiXoXq5qdLJBKeqDs4OOjMmsPKKi0txYQJE5CVlQUAePvtt7F06VKlnx8REcGHK7q5ucHb21stcTZkjDHs27cPX3zxBTIyMvh+MzMzfPXVVwgMDKxySClRn7y8PP7Y3t6+1kNwCwoK8PLlSwD/3pBp3ry5KkJsVGRHNEh7ZitTWlqKgwcP8u1WrVrxG10ikYjfeNm1a5fccylRV46q2oMxBjMzM3z77beUpBNCCCEyKFGvQnWJ+p07d3jhm/o4P33hwoU4ffo0AKBt27bYs2ePoJekKunp6Vi2bBmA8p6VmJgY6vGtocTERAQEBPCCZUD50M9p06YhLCwMrVu31mJ0RHoDCwAuXLhQpwRu6tSp2LlzJ168eIGFCxdi06ZNqgixUZGdinDixAlcuXKl0lFMGzZs4O03duxYxMfHC45L26OwsFDuuZSoK0eV7UEIIYQQeZRZVUE2Ue/Tp4/ccdlh7/UtUd+7dy9Wr14NoLyKeFxcnNLD1hlj8PX15cWX/P394erqqrZYG5oHDx5g6tSp6N+/vyBJHzZsGJKSkrBlyxZK0nWAdISDoaEh2rRpU6drrVy5ElZWVgCAzZs349y5c3WOr7G5e/cufyyRSDB8+HD89ttvgikKxcXFWLNmDebPn8/3+fr6yl1Ltj0qojnqylFlexBCCCFEHvWoV0IikeDSpUsAynub7e3t5c6pr4Xk0tLSBMPUIyMjMWDAAKWfHxcXh6NHjwIoH/IfEhKi8hgbolevXiEiIgKrVq3itQ8AoEuXLli1ahVGjhxJc5V1RElJCW7cuAEA6Ny5MwwN6/ansmXLlggNDeUJi6+vLy5cuKD0CJbGTrY9mjRpguLiYjx9+hQjR45E586dMXjwYBQXF+PIkSPIycnhz/Pz88OwYcPkrlexPWRRj3r1VN0ehBBCCJFHPeqVyMjI4HNUlSkkV1961AsKCjBu3Dg+ZP/jjz+uUQ9HXl6e4MttVFQULCwsVB1mgyIWi7F161Z07twZYWFhPEm3sbFBVFQUrl69Cg8PD0rSdcjFixd5VWvp+s915evri549ewIoH61Dw9+VJ9seHh4eGDx4MD9269YtbN26Fbt37xYkhfPmzcOaNWsq/b3y9fVVuAwbJerVU0d7EEIIIUSIEvVKVDc/Hfi3R93S0hIdOnTQRFh1whjDzJkzce3aNQBAjx49sGnTphp9cQoODkZmZiaA8i9oo0aNUkusDUVCQgL69u2L6dOn8zmaRkZGCAgIQHp6Ovz8/GidYB0kHTEClC8lpQqGhoaIjo7m20FBQSqrJt/QybbHiBEjkJCQgLi4OLneWWNjY0yZMgV///031q5dW+WIBUNDQ7lh7sbGxgpHTxEhdbQHIYQQQoRo6HslqkvUc3JycP/+fQCAq6trvSiktn79er7muYWFBeLj42u0VnNSUhLWrVsHoLyQUFRUFPWOVCI1NRULFizA4cOHBfvHjh2L8PBwdOrUSUuREWXs27ePP3733XdVdt3BgwdjypQpVFiuhiq2h5GRETw9PeHp6YmsrCw8ffoURkZGaN26NZo2bar0dUtKSgTbTZo0ob9pSlBXexBCCCHkX7qfXWpJdYl6cnIyf1wfhr2fO3cO/v7+fHvbtm3o2rWr0s8Xi8WYNWsWJBIJACAkJASOjo6qDrPey87Ohp+fH1xcXARJer9+/XDy5EnEx8dTkq7jLl++zH+/+/fvr/LiYlRYrmaqa4+WLVvC1dUV3bt3r3FS+Pz5c8F2Xl4etUc11NkehBBCCPkXJeoKMMZ4om5vb6+wAnd9KiT37NkzjB8/ns8pDAgIgKenZ42usWHDBiQmJgIAnJ2dBUk/KV+befXq1ejUqRPWrVsHsVgMAGjTpg1++uknXLhwAUOGDNFylEQZssPTvby8VH59aSEzKV9fX/7zQuSpqz3EYjFevHght5/ao2rq/v0ghBBCSDlK1BV48OAB72np27evwqGQsom6Lveoi8ViTJo0CQ8fPgQADBo0CCtWrKjRNbKyshAUFMS3Y2JiYGxsrNI46yvGGOLj4+Hs7IzPP/8cubm5AAAzMzOEhobi5s2bmDp1qk5NjWCM8ZERROjBgwfYvn07gPLaE5MnT1bL61BhOeWosz1evnwpWEpMitqjcpr6/SCEEEIIzVFXSLosG1B9xXd9fX24uLhoJK7aWLJkCY4fPw4AaNGiBWJjY2tcvCwwMJAnoF5eXtQz/P8lJiYiICBAsBa6np4epk2bhrCwMJ1bC10ikeC7775DSEgISkpKYGtrW+f5uA2tGFpwcDAfeTJnzpxK19quK2lhOenvkq+vL0JDQ+t8Q4faQ3kVh73LovZQTFO/H4QQQggBwIicr7/+mgFgANjevXvljotEImZkZMQAsO7du2shQuX8+uuv/H0YGBiwkydP1vgax48f59ewsbFhT58+VUOk9cv9+/fZlClT+Oci/Tds2DB26dIlbYenUHp6Ohs8eLBczHX9Z2Fhoe23pjKnTp3i78va2pplZ2er/TUV/RxRe5RTd3v8/fffcp/fu+++S+1RCW38fhBCCCGNGfWoK1BdIbnU1FTeq6Crw94zMjIwdepUvr1ixYoa94SLRCL4+Pjw7fDwcNjZ2aksxvrm1atXiIiIwKpVq/ha6ADQpUsXrFq1CiNHjtS5itESiQQ//PADFixYgMLCQr7f1tYWTZo0qfV1Hz16BKB8Dn5DkJ+fD29vb769dOlS2Nraqv11Y2JikJeXh/Pnz8PQsPZ/jqk9ak5Rj3pkZCQWLVpE7VGBtn4/CCGEkMaMEnUFpIl6s2bNFFY21/X56UVFRfD09MTLly8BlC8JFhgYWOPrRERE4ObNmwAANzc3wRe1xkQsFmP79u1YtGgRXwsdAGxsbLBkyRLMmjVLJ9dCv3//Pry9vZGQkMD3OTo6Ytu2bXVaG7ysrIy/3+bNm9c1TK1jjGHmzJlIT08HAAwYMEBwg0qdLCwscPDgwTpdg9qjdiom6np6eujSpQu1RwXa/P0ghBBCGjPdqXClI7KysvD48WMAyhWS08WK735+fnyefefOnbF169Ya9/Smp6dj2bJlAAADAwPExMToVEE0TUlISEDfvn0xffp0nqQbGRkhICAA6enp8PPz07kknTGGLVu2wMXFRZCkf/bZZ0hOTq5Tkt4QhYaG4ueffwYAWFlZYefOnTAwMNByVI2XptqjYqLeunVrKpKpAP1+EEIIIdpBPeoV1KSQHKB7PepbtmzBli1bAJRXHt+3b1+N17JljMHX1xcikQgA4O/vD1dXV5XHqstSU1OxYMECwVroQPnohPDwcJ1dC/3x48f49NNP8d///pfva9u2LbZs2YLhw4drMTLdtGbNGixZsgRAeY/q9u3b0bFjR+0G1Yhpsj0qJurt27dXy+vUZ/T7QQghhGhP4+sirUZ189MZY7xHvUWLFmjRooWmQqtWUlISfH19+fbGjRtrVZE+Li4OR48eBQA4ODggJCREZTHquuzsbPj5+cHFxUWQpPfr1w8nT55EfHy8TibpjDHs3LkTPXr0ECTpXl5eSElJoSS9AsYYvv76awQEBPB9q1atwujRo7UXVCOmjfaoWJG9Xbt2anut+oZ+PwghhBDtox71CqpL1B8+fIicnBwAutWbnpOTg3HjxvFecB8fn1qtcZuXl4f58+fz7aioKFhYWKgqTJ0lEomwbt06hIWF8aXogPJiUMuXL8fkyZN1duj/kydPMGvWLBw4cIDva9myJTZt2oSRI0dqLzAdlZeXh+nTp2Pv3r1839KlSwVJCdEcbbUH9agrRr8fhBBCiG6gRL0CaaJubm6Ozp07yx3XxWHvEokEn3zyCe7evQsA6N+/PyIjI2t1reDgYGRmZgIAPDw8MGrUKFWFqZMYY9i3bx+++OILZGRk8P1mZmb46quvEBgYCDMzMy1GWLW4uDjMnj1bkHRMmjQJUVFRVJVZgT/++APe3t78dwUA1q5di3nz5mkvqEZMm+1Bibo8+v0ghBBCdAcl6jJycnL4F5TevXsr7EHVxUJyy5cvx2+//QagfNmtuLg4mJiY1Pg6SUlJWLduHQDA1NQUUVFROrfcmColJiYiICAAf/31F9+np6eHadOmISwsDK1bt9ZidFXLzs7GnDlz8Msvv/B9zZs3xw8//IBx48ZpMTLddPv2bSxevJgXxQLKC2Pt2rWLRh1ogS60ByXq/9KF9iCEEEKIECXqMpQpJKdrS7MdO3YMwcHBAMqTzD179tRqrqVYLMasWbMgkUgAACEhIQqXpmsIHjx4gKCgIOzcuVOwf9iwYYiMjNSJdq3KoUOHMHPmTDx58oTvGzt2LGJiYmBvb6/FyHQLYwznzp3DunXrEBsbi7KyMn5s8ODB2L59Ozp06KDFCBsXXWuPiol6Y5ujrmvtQQghhBAhStRlVDc/Hfh36LupqSm6dOmikbgq8+DBA0yaNAmMMQDly+i8++67tbrWhg0bkJiYCABwdnaGv7+/yuLUFa9evUJERARWrVqFoqIivr9Lly5YtWoVRo4cqdMjCF6+fIl58+bhp59+4vusra2xbt06fPzxxzodu6bk5+fj3LlzOHbsGA4cOIBbt24Jjtva2mL58uWYPn26ztYcaEh0tT0YY3LF5BpDj7qutgchhBBC5FGiLqO6RD0/Px/p6ekAABcXF62uJSsSieDp6cm/bH7wwQcICgqq1bWysrIEz42JiVHZesKPHz+Gk5MTWrdujfT0dK18+ROLxdi+fTsWLVrE10IHABsbGyxZsgSzZs3SubXQKzpy5AhmzJiBR48e8X0ffvghNm7cqNUh+pcuXdLK0n1isRjXr1+HmZkZHB0dUVpaitzcXDx79ozfuJJla2sLPz8/+Pv7w8rKSuPxagq1h3JevXqF0tJSvm1tbQ1LS0uVv87t27cxZ84clV+3OiKRCJs3b0bLli3x1ltv4cmTJ7h9+zbu3bunk+1BCCGEEAUY4bp06cIAMBMTE1ZSUiJ3/O+//2YAGAD26aefaiHCf/n6+vJYHB0d2fPnz2t9rUmTJvFreXl5qTBKxpo2bcqvbWJiwu7evavS61fn+PHjzNXVlccAgBkZGbGAgACWk5Oj0VhqIy8vj3366aeC+K2srNjWrVuZRCLRSkwlJSWCeHT1n56eHhswYADbtm0bKyws1MpnpQnUHjV3584dQWy9evVS2bVLS0u1/lkr809fX58NHTpUJ9qDEEIIIfKoR/3/y8vLw82bNwEArq6uCntYdaWQ3K5duxAdHQ0AMDExQXx8PGxsbGp1rYSEBOzevRtAeQ9zRESEyuIEIOhBF4lE6NSpE3bu3IkJEyao9HUqSk1NxYIFCwRroQPlc7nDw8N1ci30ik6cOAFvb2/cu3eP73v33XexZcsWODg4aC2u+jLEnv3/ObgmJiYwNzfHmDFjYGjY8P7kUXvUnDoLyRkaGmLUqFE4ePCgyq6pClZWVujevTv69esHd3d3DB8+HM2bN9d2WIQQQgipRMP71lpLssuu6XIhuatXr2LmzJl8Ozo6utJ4qyMSieDj48O3w8PDYWdnV+cYZTk7O+Pvv//m22VlZZg4cSL+97//4ccff1TpawHl1dCXLl2KmJgYiMVivr9fv36IjIzEkCFDVP6aqlZQUIAvv/yS34wBypcLXL16NWbOnKlTiVmnTp14MUNNy8vLg6mpKQwMDFBSUoLMzExcvXoVZ8+eFUwROHnyJE6ePImOHTsiNDQUEydObLDzb6k9lKPuiu/79+/H1atXIRKJVHrdmnjx4gWaNWuGZs2awd7eHlZWVjr1t4MQQggh1dB2l76uWLt2LR8SuGHDBoXn9O/fn5+Tl5en4QgZy83N5cPzATBvb+86XS80NJRfy83NjYnFYhVF+i93d/dKh1527ty5TkP2ZRUXF7NVq1YJhtoDYG3atGE//fSTWt6bOpw+fZp17NhR8B7efPNNlpGRoe3QONmhve7u7toOR45EImHXr19ny5YtY127dpX7uXN3d2cpKSnaDlNlqD1qbteuXYIYVq1apdHXJ4QQQgipTsPsVqqF6grJlZWVITk5GQDQsWNHtRQeqgpjDNOmTePD83v37s3XPK+N9PR0LFu2DABgYGCAmJgYtfdqhYSEoEePHnz71q1baNOmDRISEmp9TcYY4uPj4ezsjM8//xy5ubkAADMzM4SGhuLmzZuYOnWqzvegFhUVITAwEEOGDMHt27cBlK8s8N133+HEiRO0TFIN6OnpoXv37ggKCsKNGzdw7NgxDBs2jB//+++/+QgLpqCwFlEtXWyPxr40GyGEEEJ0n25nLxokTdQNDQ3h4uIid/zWrVsoLi4GoJ1h75GRkdi3bx8AoFmzZoiPj4epqWmtrsUYg6+vLx+W6e/vr5FK0WZmZrh69Spmz57N9xUXF+Odd97BwoULa3y9xMREDBkyBJ6ensjIyABQnhR4e3vj1q1bCA4OhpmZmcriV5fz58+jb9++gkRl4MCBuHz5MubOnavzNxl0mZ6eHt555x2cOHECR44c4UsqlpSUIDAwEBMmTEBhYaGWo2w8dKU91D30nRBCCCGkrigDQHlv5o0bNwAAPXr0QJMmTeTOkZ3DrulE/dSpU/jyyy/59o4dO+Dk5FTr68XFxeHo0aMAAAcHB4SEhNQ5xppYv3499u3bJ1gCbsWKFejfvz+/GVKVBw8eYOrUqejfvz/++usvvn/YsGFISkrCli1btLpkmbJEIhGCgoLg5uaG1NRUAICxsTEiIiJw+vRpnsQQ1RgxYgSSk5Px+eef831xcXF45513kJOTo8XIGidttgcl6oQQQgjRdZSoA0hJSeGFx5QpJKfJiu+ZmZmYMGECj2/RokUYOXJkra+Xl5eH+fPn8+2oqChYWFjUNcwaGzNmDO7cuYO2bdvyfYmJiWjZsqXgs5b16tUrfP311+jatSt27tzJ93fp0gWHDh1CQkKC1or81dSlS5fw+uuvY/ny5ZBIJACA1157DZcuXcKCBQtgYGCg5QgbJhMTE6xcuRKHDh3i01fOnj2L4cOH4+XLl9oNrhHSVnvIJupGRkawt7dX22sRQgghhNQGJeqofn46oJ0e9dLSUkyYMAFZWVkAgLfffhtLly6t0zWDg4ORmZkJAPDw8MCoUaPqHGdttW7dGvfu3cOYMWP4vtzcXPTr1w/fffcd3ycWi7F161Z07twZYWFhKCoqAlC+nFxUVBSuXr0KDw+PelHRuLS0FEuXLkX//v2RkpICoDxRCAsLw5kzZ+Ds7KzlCBsHDw8PnDp1Ci1atAAAXLx4EaNGjdJqle7GTNPtkZ2dzR87ODjUi78dhBBCCGlcKFGHcom6tJfX2tpa0AusTgsXLsTp06cBAG3btsWePXvq1NOalJTEC9CZmpoiKipK619Q9fX1sW/fPmzYsIHPxZZIJJg/fz7ef/99HDt2DH379sX06dP5DQsjIyMEBAQgPT0dfn5+Cte810VXr17FgAEDsGTJEpSVlQEAXF1dkZiYiMWLF9eb99FQ9O7dGydOnOBLEp46dQpz5szRclSNlybb4+nTp/wxFWokhBBCiC6iRB3/Jup6enoKh7U/efKEJ4m9e/fWSHK7d+9erF69GkB5YhoXF1enNc7FYjFmzZrFh1mHhITA0dFRFaGqxMyZM3H16lXY2NjwfUeOHMHw4cN5tX0AGDt2LK5fv47Vq1fD2tpaG6HWWFlZGVasWIF+/frxnzUDAwMsXrwYiYmJGp1KQYScnZ1x+PBhXphx8+bN2LVrl5ajarw01R6yibou/R0khBBCCJFq9Il6SUkJH4LcrVs3mJuby52j6WHvaWlp8Pb25tuRkZEYMGBAna65YcMGJCYmAij/Muzv71+n66lD9+7dkZKSglatWskdc3JywsmTJxEfH49OnTppIbraSUtLw6BBg7Bw4UKUlJQAKH+fZ8+eRVhYmKCgnqZI6x2Qcv3798fGjRv59pw5c/j0EE2QSCT8BhrRTHu8ePGCP6al2QghhBCiiwy1HYC2Xb9+nSdQulBIrqCgAOPGjUN+fj4A4OOPP4avr2+drpmVlYWgoCC+HRMTo5UEsSoikQjr1q1DWFgYXwtdVkZGBrZu3YohQ4ZoIbqak0gk+O677xAUFMQr2evp6eHzzz9HaGiowpUF1IExhrt37+LMmTM4e/Yszpw5gytXrsDY2BjW1tZ1XvpNdq5vfTZlyhQcOXIEu3btwsuXLxEYGIjdu3er/XVv3LiBAQMGQCQSwdbWts6jdag9qicSiQSrS1DFd0IIIYTookafqNdkfjqg3h51xhhmzpyJa9euAShfKm7Tpk11/vIeGBjIk18vLy+dSnYZY9i3bx+++OILvhY6UL7m+qRJk7Br1y5ePG779u04c+YMzp07Jxgir2tu376NadOm8foCANCpUyds374dbm5uan3t4uJiXLx4kSflZ8+e5dM2Kp6nil7KR48e1fkauuK7777D77//juzsbOzZswfz5s3DG2+8odbX3Lp1K/Ly8gAAjx8/rvP1qD2qR0uzEUIIIaQ+oES9BhXfjYyM0L17d7XFsn79et5rZGFhgfj4eIVD8WsiISGBX9PGxgYRERF1jlNVEhMTERAQIFgLXU9PD9OmTUNYWBhat26N1atXw83Njd+8uHXrFtq0aYPDhw/j7bff1lboCkkkEvzwww9YsGABCgsL+f65c+di+fLlMDMzU/lrPn78WNBbfvHiRZSWllZ6vp6eHhwcHFBcXAxDQ8Na3wSSJoRt2rSp1fN1ka2tLZYuXcpHsISFheHw4cNqfc27d+/yxy1atIChYe3+JFN7KI8SdUIIIYTUC6yRGzhwIAPAALAXL17IHS8sLGT6+voMAOvVq5fa4jh79iwzMjLiscTFxdX5msXFxaxLly78mps2bVJBpDXj7u7OXz88PJwxxtj9+/fZlClT+H7pv2HDhrFLly4pvM7s2bPlzv/qq680+E6qdu/ePfb2228L4nN0dGR//PGHyl6jpKSEJSYmsqioKDZx4kTWvn17uc+k4j8rKys2YsQItmTJEnb06FH28uXLOsdRWlrKr+/u7q6Cd6Y7RCIRc3Bw4O/v+vXran29119/nQFgenp6TCQS1eoa1B4188cffwh+R2r7uRNCCCGEqFOj7lEXi8V8WLuTkxOaNWsmd861a9d4oSd1DXt/9uwZxo8fz3tCAwIC4OnpWefrRkRE4ObNmwAANzc3QYE6bRCJRPj666+xatUqPpwdALp06YJVq1Zh5MiRlfbwrl+/HiNGjMD//d//8ZoCK1asQEJCAk6dOqWxOd8VMcawdetW+Pv787oCAPDZZ59h5cqVsLS0rPW1s7OzBUPYL1y4IPjcFOnSpQvc3Nzg5uaGgQMHwtnZuc7z0BsTY2Nj+Pv7IyAgAACwceNGrFmzRm2vd+/ePQBA69atda5uhC5QR3vI9qhbWVnR504IIYQQ3aTtOwXadO3aNd6r4unpqfCcTZs28XPWrFmj8hjKysrYO++8w19j0KBBrKSkpM7XvXXrFjMxMWEAmIGBAbty5YoKoq052R51S0tLQU+WjY0Ni4qKqtH7ffToEWvbtq3gOk2bNq20J16dHj16xD744ANBLG3btmW///57ja9VVlbGkpOT2YYNG9h//vMf1rlz52p7y83MzNjQoUPZwoUL2a+//sqePXumhncpryH34DLG2PPnz5mxsTEDwFq1asXKysrU8jqFhYX8c3Rzc6v1dag9aub777/nn1fHjh1VFCUhhBBCiGo16h71mhaSU0fF9yVLluD48eMAyueoxsbGwsjIqE7XZIzB19cXIpEIAODv7w9XV9c6x1obL1++5I+lPc5GRkbw8/PD4sWLa7wWeuvWrXHv3j14enpi//79AIDc3Fz069cPkZGRmDdvXrXXKCwsRHBwMM6ePYuioiJYWVlh0qRJ+PTTT5XqfWaMYdeuXfDz8xO8Py8vL6xZs0bhyIyKcnNzcf78ed5bfu7cOV5UrDLt27cX9Ja7urrW+WeFyLOxscF7772HQ4cOITMzE+fPn+dFADMyMhAbG4unT5/C0NAQTk5O+H/t3XlYlOX+P/A3+yIQsoig5L6hohyXVNSjuWXBwciyo2mGSxyRr4Gpx4UUzW9muOTRyKWUo1mJJqSVSqi5giYuKC4sLpCMihuLCAzz/P7gy/2bkW0GBhiY9+u6uK6ZZ57lHm6sec99P5/73XffVavPX5Seni4ec4mwimm7P5SLVpa3FCQRERGRTqjvbwrqU1BQkBhZOXDgQLn7DBw4UOzz8OFDrV5/37594txGRkbSH3/8oZXz/vjjj+K8rq6uUk5OjlbOq4mrV69KXl5eZUaBfX19peTkZK1cY+PGjaJ+QOnPa6+9JhUXF5e7f35+vjR8+PAyx5T+WFhYSEFBQZVeUyaTSWPGjFE5rnnz5tK+ffsqPEahUEjXr1+Xtm3bJk2fPl3q1q2bZGBgUOlouampqdS/f38pODhY2r17t/TXX3/V6HelTY19BFeSJGnLli3iPS5dulQ6d+6c9Prrr5fbb5aWltK0adOk+/fva3SNQ4cOiXPMmzev2m1lf2jWH2+99ZbYd/z48XX8ToiIiIjUo9dB/e9//7v4wHbv3r0yrxcXF4vp2q6urlq9dmpqqmRrayuu/8UXX2jlvE+fPpWcnZ3Feffu3auV86rrwYMH0syZMyUjI6MyH6A//PBDrV8vKSlJsrOzKxOcb926pbLf06dPJUdHxyqnkwOQhg0bVu61du3aJdnb26vsO378eCkrK0tlv7y8POno0aPS//7v/0re3t6Sg4NDldds3ry55OvrK4WFhUknT56U8vPztf670hZ9CIZpaWniPfbp00eytLSssg/btWtX5u+uMsq31Xz11VfVbiv7Q7P+UC4gumjRonp4N0RERERV09up7wqFAufPnwcAtGzZEs2aNSuzz82bN8V0bW0WksvPz8fYsWPFtGlfX1/Mnj1bK+cOCQkR62N7e3vDx8dHK+etSkFBAdavX49ly5aJNduBkmJQpcXf2rZtq/XrdunSBZmZmRg+fLhYt1wmk6F9+/bYsWMHxo0bBwDw8PDAgwcPxHHOzs6YOHEi2rVrh5MnT2LPnj3Iy8sDULKk3QcffICtW7cCKCnqNnPmTPz444/ieAcHB3z99dfw9fXFnTt3EBMTg1OnTuHUqVO4ePEi5HJ5hW02MjJCjx49xBT2AQMGoFWrVtVeKo20r3Xr1rCzs8OjR49w9uxZsd3V1RX+/v4YPHgw8vPzER0djW3btiEvLw+pqakYPXo0zpw5AysrqyqvcefOHfGYS4RVTpv9kZWVJR536tSpTt8HERERkdrq+5uC+pKcnCxGVf7xj3+Uu8+ePXvEPiEhIVq79pQpU8R5O3TooJUlsyRJks6dOyemdVtYWEg3b97Uynkro1AopN27d0tt27YtM/106dKlUr9+/cS20uXZaktoaGiZqbDvv/++9NNPP6lsq6go4OjRo8U+hoaGUl5enhQdHS05OTmpHD9kyBBpyZIl0tixYyUXF5cqR/bs7OykN954Q1q+fLl0+PDherkVQZv0YQRXklRvewEgvfnmm+XOdLhz547KMogbNmxQ6/yTJk0SxyQmJla7newPVVX1h/LMmoSEhLpqPhEREZFG9DaoK9/HvWTJknL3CQkJEfvs3r1bK9dVvtfS0tKyRh/QlcnlcrEmMwBpxYoVWjlvZc6cOVPmw7OBgYHk5+cn7qkubx312nTixIky02JLK0YDkHx8fCo9XjmUd+nSReU8xsbGkrGxcZXBvGvXrtK0adOkb7/9Vrp27ZqkUChq/X3XJX0Jhm+++aZ4n/b29lJeXl6F+547d07s6+bmplafK996k52dXe12sj/Kqqw/LCwstPJ7JyIiIqpNervAsjoV3y9evCgea2Pqe0JCAgICAsTzTZs2oVu3bjU+LwBs3LhRTAl1c3NDUFCQVs5bnvT0dEycOBF9+/bFiRMnxPahQ4ciISEB33zzDVxcXAAAz58/r7V2lMfT0xOZmZno2rWr2FY69R4A1q1bV+nxH330kXh89epVldfkcnmZKe3W1tYYPnw4PvnkExw4cACPHz/G5cuXsWnTJnzwwQfo1KkTp7Q3UI8fPxaPvby8YGlpWeG+f/vb30Ql8qSkJJW/nfPnz2PFihV49OiRyjGla6g3bdoU1tbW2mx6o6St/ihdDcPQ0JC/dyIiItJZenuPuiZLs1lbW6NNmzY1ut6jR4/w1ltviQ+JM2bMwIQJE2p0zlIymQwLFiwQz8PDw2FqaqqVcyvLzc3FypUrERYWhvz8fLG9Y8eOCAsLg5eXlwilMpkMy5cvx7lz58R+yssi1SYbGxtcvnwZ/v7+2Lhxo9huYGBQ5TJYfn5+mD9/foWvt2/fXuXe8q5du8LIyEhrbSfdUVRUJB6rcy9z//79cerUKQDAkCFDxL9BmUyG4uJibN68GTdu3ICRkRGKi4uRkZEBgEuzqUsb/aFQKKBQKAAAxsZ6+78/IiIiagD08pOKJEkiqDdr1kyM/ip79OiRKPbk7u6u1vraFVEoFJg0aRJu3boFAOjbty9Wr15d7fO9aPbs2aKA2+TJkzF48GCtnRsAiouLERERgYULF0Imk4ntdnZ2WLJkCfz9/cV63jKZDCtXrkR4eHiZ0XQ7Ozuttqsy169fx+7duzU+Tvn9ASV9NXToUAwYMAD9+vUrt+ggNU7KX8CoMzMkNzdXPFYuXFgqLS0Nmzdvhr+/PzIzM8XsDBaSU4+2+8PCwkI7DSMiIiKqBXoZ1NPT0/Hw4UMAJaPp5U1NvnTpknhc02nvn332GX755RcAgL29PSIjI2FmZlajc5aKjY3Fzp07AZQE4ZUrV2rlvMrnDw4OVvl9mJiYIDAwEIsWLULTpk0BVB7QS9na2mq1bRXZsmUL/P39UVxcrLJdkiRER0dXWgn/008/FY+7du2K+Pj4Wmsn6Tblf6OlI7MVKSoqQnR0tHju7OwsvtwrKCgQlcYXLFiAsWPHimnvAIO6urTVHwqFAmZmZvjiiy9qp6FEREREWqCX96iXLssGVD3tHQB69OhR7WvFxMQgJCQEQMnU6++//15rU10LCgowY8YM8fzzzz+Ho6OjVs597do1eHt7Y/jw4Soh3dfXF0lJSVi1ahWaNm0KmUyG4OBgtGnTBmvWrCkT0msyE0FTCoUCY8eOxbRp00RINzAwQPfu3cU+M2fOFFNfX5SRkYG9e/eK56GhobXbYNJpyiOuhw8fVqlZ8aKNGzeK2Ri+vr64e/cuMjIykJGRgQcPHuC9994DUHKf9fz587k0WzVoqz/u3r2LmzdvYuzYsbXeZiIiIqLq0sugrsn96UD1R9TT09Mxfvx4SJIEAFi6dClGjBhRrXOVZ+XKlbhx4wYAYMCAAfDz86vxObOyshAYGIhu3bph//79YnuvXr3wxx9/YM+ePWjfvn2FAV05mNvY2GitWF5VZDIZ2rRpgz179qhc/88//1R5HxkZGejcuTOuXLmicnx0dDQ6d+4spiPb2NjgrbfeqpO2k24qvVUFKPkSaOTIkfjll1/Ev2egZAr2mjVrVIoQKheMLPXFF1/AxsYGQMmMj+PHj4vXeI+6erTZH0REREQ6r15rztcTLy8vsTxPWlpaufv07NlTrKf97Nkzja/x/PlzqW/fvuI6r7/+ulRcXFzTpgvJycmSmZmZBEAyMjKSLl68WKPzPX/+XAoLC5NeeukllaXGWrRoIf33v/8Vbc/MzJSCgoIkc3Nzlf0sLCwkV1dX8dzGxkaKj4+vk+XZoqOjVZZgAyD16tVLZfmmoKCgMsuoOTk5SZ07d5asra3LLDF34MCBWmlrY6APy4EVFBRIJiYmEoAyf+sdOnSQ/Pz8pPHjx0t2dnYqrwUGBla4NNvatWvFfg4ODuJxfHx8jdrK/qhefxARERHpMr0M6i4uLhIAydbWttwPccofCrt06VKtawQEBIgPi61bt5YePnxY02YLCoVCGjlypDj/xx9/XKNz7d69W2rbtq3KB1xLS0tp6dKlIuxWFtADAwNVAnlpSJek2l9HfebMmWUC+Jw5c8rdd8aMGVWugW5oaCj9+OOPWm9nY6IPwfDUqVPiPb799tvSoEGDqvzbmTVrliSXyys8Z1FRkdS9e/cyx8lkshq1lf1Rvf4gIiIi0mV6N/VdJpPh7t27ACouJHft2jWxFFB1pr1/99132LBhA4CSAkh79uzRasXzyMhIHDp0CADg6uqKxYsXV+s8Z8+exeDBgzF27FixdJqBgQH8/PyQnJyMkJAQZGdnlzvF3cLCAsHBwbh8+TKuXLmCkydPAiiZMh4TE4O+fftq4Z1WLDs7G+7u7li/fr3YZm5ujkOHDlVYUG/Dhg04cuQI+vbtW6bfTU1N4evri7S0NLzzzju12nbSfaX/vgBg1KhRiI2NRWRkJIYOHaqyn6mpKd577z2cPHkSa9eurXSpPmNjY/HfBeXjuZJA1WqjP4iIiIh0md5Vfde0kJymQf3y5cuYPn26eL5hw4YKr1Md2dnZKvdfrlu3DlZWVhqdIz09HQsWLMCOHTtUtg8dOhSrV69Gz549xT3oL1Zxt7CwwL/+9S/MmTMHNjY28Pb2xuHDhwHUXUg/ffo0RowYgby8PLGtffv2OH36NBwcHCo9dsiQIYiPj8eTJ09w9uxZPHr0CM7Ozhg4cGCdFr4j3fbTTz+JxyNGjICJiQnGjh2LsWPHQiaT4f79+zAxMYGLiwteeukltc87aNAgvPfee+Lfnrm5eblfFpKq2uoPIiIiIl2ld0Fd00JymlR8z87OxltvvYVnz54BAPz8/DBlypTqNbQCISEhyMzMBAB4e3tXutTYi3Jzc7Fy5UqEhYUhPz9fbO/YsSPCwsLg5eWFe/fuVRnQmzdvjmfPntVLSF++fDlCQkJUCkhNmjQJW7du1Sho29raarWwHzUeFy5cECsd9O3bt0yxt+bNm6N58+bVPr/yl2TZ2dmIi4tDv379qt/gRq62+4OIiIhIFzGol0N52R91R9QlScIHH3wgqrD37NlTZVq2NiQkJIhzWlhYYN26dWqNxhUXFyMiIgILFy4USxYBJeuuL1myBP7+/nj48CFmz55dZUAHUC8hvbCwECNGjMCxY8fENmNjY2zbtg0TJkyoteuS/lGenj558mStn7+goEDleUBAAM6cOcNp2hWo7f4gIiIi0kV6G9SbNGmCDh06lHldkiQxou7k5AQnJye1zrt69WoxPdPW1hZ79uxRWfe3poqLi+Hv7y/WAF+8eDFat25d5XGxsbEIDg5WWQvdxMQEgYGBWLRoEQoKCjBv3jy1AjpQPyH9+vXr8PT0xMOHD8U2JycnnD59Gm3atKm16zZWcrkcxsZ6909fLenp6YiIiAAAWFtb18qXQLdv31Z5npCQgM2bN8Pf31/r12ro6qI/iIiIiHSRXn1af/TokViLt2fPnuVOlc7IyMCjR4/EPuo4duwY5s2bJ55v374dbdu2rXF7lW3cuBFnz54FALi5uSEoKKjS/a9du4Y5c+aorCEOAL6+vvj8889hZWWFZcuWqR3QgfoJ6d988w0+/PBDFBcXi22jRo3C/v37GTbVIJPJcOHCBZWfGzduwMzMDHZ2djW+PzorK0tLLdUNISEhopDkzJkzxdrn2vRiUAdKRtWXLl1a4zoJ7A8iIiKixkGvko46heQ0nfaemZmJcePGiSC5cOFCeHl51ayhL5DJZFiwYIF4Hh4eDlNT03L3zcrKQmhoKMLDw1XCba9evbB69Wp07NgRK1eu1CigA3Uf0hUKBd555x3s2bNHbDMwMEBYWBiCg4Nr5ZoNWXFxMZKTk8uE8nv37pW7//Pnz8XqBzXx119/1fgcuuL48eNi9LZp06aYPXt2rVxHOaiPGDECMTExUCgUovZETbA/iIiIiBoHvQrq2i4kV1RUhHHjxon7vocNG4bQ0NCaN/QFs2fPxtOnTwGU3KM5ePDgMvsUFBRg/fr1WLZsmdgXAFq0aIHPPvsMw4YNQ1hYmMYBHaj7kC6TyfDKK6/gzp07YpuNjQ2OHDmi1Qr6DVVeXh4SExNVAvmlS5dUCgRWxMzMDC1btkROTg6MjY2rPaJeGghbtGhRreN1TU5ODvz8/MTz0NBQ2Nvb18q1lP+uV69ejYULFyI+Pr5GM0TYH0RERESNC4P6CzRZmm3+/Pk4fvw4AKBly5b4/vvvtV4QKjY2Fjt37gRQUvztxTXCJUnCTz/9hLlz54q10AHA0tIS//73vzFhwgSsX78e06dP1zigA3Uf0n/++We8/fbbKCwsFNt69eqFY8eOwdLSslauqcsqmrquXPW+Ivb29vDw8EDPnj3FT6dOnWp8y4BcLoeJiQkAVLkcXkMgSRKmT5+OlJQUAEC/fv0wY8aMWrte6Yi6gYEBOnbsiOjo6Bqdj/1BRERE1PjoZVA3MzNDly5dyt2ndOq7hYUFOnbsWOG5du/ejVWrVgEoKc4WGRkJR0dHrba3oKBA5QPq559/rnKNs2fPIjg4GCdOnBDbDAwM8MEHHyAwMBD//e9/0bVr12oFdKDuQ3pgYGCZSvlz5swp8+VEY6Tp1PUXtW/fXiWQ9+zZEy4uLlyjWw1Lly7FDz/8AKDkb3zHjh21WoG9NKi7uLhUeAuLPqvr/iAiIiLSRXoT1LOzs8XSae7u7mIESllOTo4YxenWrVuFHw6vX7+uMi1z9erVtbIO8sqVK0WbBwwYIK6Znp6ushZzqaFDh2LBggX49ddf0b9//2oHdKBuQ3p2djYGDhyIxMREsc3c3Bw///xzo1zrvKZT17t3764SyN3d3WFtbV0HLW981qxZgyVLlgAo+ZIrIiIC7dq1q7Xr5efn4/79+wCAVq1a1dp1Gqq67g8iIiIiXaU3QV25SFxF096Vg2JF097z8vLw1ltvIScnBwDwz3/+EwEBAdpr6P9JSUnB8uXLAQBGRkYIDw/Hs2fPsHLlSoSFhamEuo4dO2LhwoU4f/48vL29axTQgboN6adPn8aIESOQl5cntrVv3x6nT59uFNN4dXHqOpVMr168eDGWLVsmtoWFhWHMmDG1et309HTx+OWXX67VazUk9dUfRERERLpKbz7xa6OQXOm9k1euXAEAdO3aFZs3b9b69GJJkhAQEICCggIAwKxZs/Dnn39i1KhRonAdUHLPenBwMO7fv48PP/ywxgEdqNuQvnz5coSEhKiE1kmTJmHr1q01XqaqrnHqesORnZ2NKVOmYPfu3WJbaGhonawmoFzxnSPqJeqzP4iIiIh0FYO6kqoKyX311VeisJuVlRX27NmDJk2aaLWdABAZGYlDhw4BABwdHXHw4EGsXr1avG5iYgI/Pz8YGhri008/1UpAB+oupBcWFmLEiBE4duyY2GZsbIxt27ZhwoQJWr1WbeDU9YbryJEj8PPzw61bt8S2tWvXYtasWXVyfQZ1VfXdH0RERES6Su+CurGxMbp161buPsrT493d3VVei4uLQ1BQkHi+detWdOrUSevtzM7OxkcffSSeP3jwAA8ePBDPX3/9dTg5OSEiIkJrAR2ou5B+/fp1eHp64uHDh2Kbk5MTTp8+jTZt2mj1WtrAqeuNQ2pqKhYtWiSKlAElf+PfffcdvLy86qwdykuz6XNQ15X+ICIiItJVepEY8vPzcfXqVQAl09XNzc3L7COXy3Hp0iUAQLt27VRGOB88eIC3334bRUVFAIDg4GCMHTu2Vtr68ccfIzMzs8x2d3d3dOrUCfv27dNqQAfqLqTHxMRgwYIFKC4uFttGjRqF/fv313t45dT1xkeSJMTFxWH9+vXYtWsX5HK5eG3QoEGIiIio8y+HlEfU9e0edV3sDyIiIiJdpRdBPTExUYTDiqa9JycniwCsPO29uLgY48ePR0ZGBgBg4MCBWLFihdbbWFBQgH//+9/YvHmzynZnZ2e4u7vj6NGj4osEQDsBHajbe9J///138djAwABhYWH1ch8qp643Xjk5OYiLi0NMTAyioqKQnJys8rq9vT0+++wzTJkypV7qIOjb1Hdd7w8iIiIiXaUXQV2d+9OVp70rB/UlS5aIgOnk5IRdu3aVu7RbdUmShJ9++glz5szBzZs3xXZjY2P06dMHCQkJOHjwoNiurYAO1P066aVsbGxw5MiRCvuiPBcuXMD27dtFgT115eXlISsrS+XnyZMnah1rbm4OBwcHlR9HR0dYWVmhWbNmcHZ2hp2dHSwtLTVqU2Ny/vz5MreJ1IXi4mIkJSXB0tISrVu3RlFREZ4+fYoHDx6Ue1uCvb09AgMDERQUBBsbmzpvb6nSoN60adNa+XInNTUVM2fO1Pp5q1JQUIAtW7agefPmePXVV3Hv3j2kpqbi9u3bOt0fRERERDpLauDef/99CYAEQHJycip3n2nTpol9Tp48We4+nTt3FvsAkIqKiqR9+/aJ50ZGRtIff/yh1bafOXNGGjhwoMp1AUhmZmaSqampyjYLCwspODhYyszM1Mq18/LypFdffVWc38bGRoqPj9fKuZW9+P569eol5eXlaXQOhUIhtWrVqszvSVd+rKyspBEjRkirV6+Wbt68qfXfoa4pLCys99+5Oj8GBgZSv379pK1bt0rPnj2r71+bJJfLJWNjYwmA1KNHD62dt6ioqN5/1+r8GBoaSkOGDNGZ/iAiIiLSZTo51zAgIAAGBgaIjY0t81paWhqaNGmCoUOHipEaBwcHbN++HRs2bCiz/507d1SW/Zk7dy6OHz9eZr+XXnqpzHUmTpwonq9YsQKDBw+u9ntSlp6ejokTJ6Jv3744ceJEmdcLCgpQWFgIoGQEPTg4GGlpaVi1alWNR9GBuh1JHz9+vHg8Z84c/PnnnxqPQBcXF6tMGdY1ubm5iImJQXBwMNq0aYMhQ4YgMjJS5R7cxqSh3Hcv/d890du2bcP+/fvrvT8yMzNFG7Q57d3Y2Bg+Pj5aO5+22NjY4JVXXsGMGTPw3Xff4d69ezhy5AgmT54MCwuL+m4eERERkU4zkCQ1ylfXsZycHHTr1g1GRkZITEwUS6BJkoRhw4YhLi4OiYmJaNeuHSZPnoyjR4+qLO9TKisrC7169RKVlp2cnODk5IRr167h8OHD8PT0FPs6OztDJpPB1NQUhYWF6Nmzp1iuzdfXF7t3765xQMnNzcXKlSsRFhamcj906TWVaXOKu7L6mO5+/fp1ODs7V2uKq0wmw7lz50QlaDMzMxQWFqpVdf2ll15Cp06d0LFjR/HTqlWraheukyQJcrkceXl5kMlkSEtLQ2JiIk6fPo2//vqrzP7t2rXD0qVL8e677zaq+2/lcrm4/aN9+/YICQmpl3ZkZ2fDwsICRkZGKCwsRGZmJi5fvqyz/XHy5EkMHDgQABAYGIh169Zp7dySJOHy5csa3xqiTY8fP4atrS1sbW3RrFkz2NjYNJgvdYiIiIh0Tv0N5lfu119/lQBIs2bNEtu+/vprCYAUFhYmtr3//vtSq1atyj3H7NmzJQMDAzH1csKECdLTp0+lli1bSr179xb7yWQysU/z5s1Vpmt26NBBevLkSY3ei1wul7755psy5zY3N5cMDQ3LbNPmFHdldTXdvTrkcrl09epV6fvvv5fmzZsnjRo1SnJyclJ7Wm379u2lsWPHSp9++qm0f/9+KSMjQ1IoFHXSdoVCISUlJUnLly+XOnXqVKZtnp6eUmJiYp20pS4oT7X29PSs7+aUoav9sXPnTtEG5f+GERERERG9SGeDuiRJ0sSJEyVDQ0Pp1KlTUnp6umRjYyP16dNHksvlYp/KgrqLi4vUsWNH8eF41apVkiRJ0ieffCIBkG7cuCFJkiQdPHhQ7OPs7CweW1pa1vgD/e+//y65u7uXuVfTyMioTIAYMWJErQR0SdKtkJ6bmyudPn1aCg8Plz788EPplVdekSwsLNS+77h3797S1KlTpfXr10snTpyQsrOz6+V9lEehUEgxMTHS0KFDVdptamoqrVq1qs6+PKhNuh7UlelSf3z22Wfi+rt27aqz6xIRERFRw6PTVd/Xrl2LgwcPYsqUKWjVqhXy8/PxzTffwMjIqMpjMzMzcffuXZXK4qWP+/XrBwA4d+4cOnToIKa4AyVTrUtt2rQJ3bp1q1bbr127hjlz5mD//v0q2w0NDaFQKMrs36dPHxw4cKBWpuTWV3V3oOT3+eLa5Ddu3FBr6rq9vT08PDzg7u6O1atXAwD69++PkydP1nazq83AwADDhw/H8OHDcfDgQfzP//wPbty4gcLCQsyePVvcM63PleLrki71h74tzUZERERE1afTQd3Ozg7/+c9/MG7cOFy9ehWLFy9G9+7d1Tr27t27AIBHjx6JbaXLrrVo0QIAxH2sykG9NED6+/tjwoQJGrc5KysLoaGhCA8PF2u3AyWBQZIkEdLNzMwgl8tRXFwMIyMjbNmypUGH9OLiYiQnJ5cJ5ffu3VPr+Pbt26usTd6zZ0+4uLjAwMAAcrlcBPWGdM/rqFGjcOnSJSxatAhhYWEAgMjISGRkZGD//v2ws7Or5xbql/ruDwZ1IiIiIlKXTgd1oKSie6nRo0erfdyzZ88A/P8w3rZtW9ja2gIoWR8bgCjopryGeqnSD/LqKigowPr167Fs2TI8ffq0zOulXwBYWFjA398fCQkJ+OOPPwAAQUFBtbIWdW2F9Ly8PCQmJqoE8kuXLqkUyKuImZkZunfvrhLI3d3da2VNaV1gZmaGL774AoMHD8aECROQk5OD06dPY+TIkfj999/F3yTVjfrsj9KilmZmZmjWrFmtXYeIiIiIGj6dDurPnj3DtGnT4OrqitzcXMyYMQNnzpxRa+p76VTWoqIiAFCZAv/8+XMAJaE5Pz8fV69eFa+ZmZmhoKAAZmZmarVRkiT89NNPmDt3LtLS0ircT7mK+7Fjx7BmzRoAgKurKxYvXqzWtTShrZCujanryqG8U6dO1a663pB5e3vj2LFjeO2113Dv3j2cO3cOPj4+OHTokNp/a6Q9dd0fkiSJEfWXX365Qc0MISIiIqK6p9OJadGiRUhLS8Nvv/2Gu3fvYsqUKVi1ahXmzp1b5bEuLi4qz5WDeukoe4sWLfDtt9+qhM7BgwcjJiZGrfadPXsWwcHB5a6FXurFZdays7Px0UcfidfXrVsHKysrta6nruqE9Nqcuk4levbsicOHD2PIkCF48OABjh07hpkzZ2Lz5s313TS9VJf98fjxY+Tm5gLgtHciIiIiqprOBvX4+Hh8+eWXmDRpEl577TUAwM6dO7FkyRL4+vqiffv2lR7v7OyMJk2aIC8vD4BqUI+LiwNQEuanTZsmto8ePVqtKanp6elYsGABduzYUeE+Fa2DHhISgszMTAAlo3o+Pj5VXk8T6oR0Tl2vP25ubti/fz+GDBmC/Px8bNmyBUOGDKlWPQSqubrqj9Jp7wCDOhERERFVzUBSZw5zHSssLISHhwcePnyIpKQkUeQpLS0N3bt3xyuvvCKC6OTJk3H06FHcunWrzHlcXV2RkZEBALh37x6aNWuGnJwcuLm5wdHRESYmJjhz5ozY//fff8f27dsRERGBoqKiMlO0c3NzsXLlSoSFhVUYaisK6ACQkJCAPn36QKFQwMLCAklJSWjdunV1f01llBfSf/jhBxgYGNTr1HVNbiUoj1wuh4mJCQDA09Oz0hkMDcWOHTswceJEAICtrS2SkpLg7OxcJ9eWJKlGMx3YH5qLjo7GmDFjAAChoaH45JNPtHZuIiIiImp8dHJE/dNPP0VSUhJ27dqlUom5bdu2WLp0KT7++GNs2bIFU6dOrfAcCoUCT548AVCyJNq3334LGxsbbNq0Cffu3UOfPn2wd+9elWM8PDywffv2MucqLi5GREQEFi5cqLJ8m7LKAnrpOfz9/UXV98WLF2s1pOfk5GDEiBGIj48HABgZGcHY2Bivv/66WsfXZOp6bm4ubt++jVu3bpX7k5WVBXNzc9jZ2dV4KnxWVlaNjtcV7733Hg4cOIDvvvsOT548wezZs7Fz585au15mZiZ+/vlnREVFITY2FkZGRmjatGmNVxpgf6iHFd+JiIiISBM6N6J+6dIl9O7dG2+88UaZIA2UBN5+/fohJSUFSUlJmD9/frkj6ikpKejQoQOAkinuz549Q0FBAXr16oW///3vWL58ucr+rq6uuHPnDiZPnqwyoh4bG4vg4GBcunSp3PZWFdBLffXVVwgICABQMt32/PnzMDU11eRXI7w4dT0hIQHnzp0rd332F1Vn6ro6QbyuWFlZIScnp86uV5sePnyIzp07i99fXFwcXnnlFa2d//r164iKikJUVJS43UPb2B/qmT17tlhi8MiRIxgyZIhWzktEREREjZPOjai7u7ujsLCwwteNjIxw9uxZlW0KhQJZWVkwNDQUI/AJCQni9enTp4vK6pcvXy73w3e3bt2QlZWFgoICAMC1a9cwf/587N+/v9x2qBvQgZLK6QsWLBDPw8PD1Q7pdVF1PTc3F1euXNF6EDcwMEDLli1hZWWFhw8fwtjYuNoj6soFABsLe3t7hIaGii9wli1bVuHfmzoUCgXOnj0rwvm1a9cqvG7pjAv2x/+n7f5QxnvUiYiIiEgTOhfUqyM9PR2Ojo5wcnISU9OVg3ppIbns7Gy89dZbYo31V199VdzPffv2bTg6OopjevToUe4ItSYBvdTs2bPF2uqTJ0/G4MGDy+xT06rrAGBsbIypU6fCy8tLZeq68oh46ewDbQbx1q1bl/vTsmXLas8aUKZ8T7SDg0ONz6dLpk6dihUrViA9PR2//PILrl69ii5duqh9fGFhIY4cOYKoqChER0eLQoUv6t69O8aMGYMxY8bAw8NDa/eosz/UUzr13cDAoFF9uUFEREREtaPBB/W5c+fivffeAwCVgmUvBnVJkvDBBx/gxo0bAEqWZurbt69KUbqUlBTs2LEDz549KxPSzc3NMWPGDI0COgDExsaKe13t7OywcuVKrVRd79atG06dOiXej5WVFUJDQ2FmZoajR49i27ZtDSaI6zNTU1MEBQUhODgYALBp0yasWbOm0mOys7Px22+/ISoqCr/++iuys7PL7GNoaAhPT0+MGTMGPj4+aNeuXa20v7GpTn+oozSou7i48N8MEREREVVJ5+5R1wZJkuDo6IiHDx+iWbNmkMlkWL16NT7++GMAJVWdz507h6CgIPz8888ASj5A3717t8y5qhvQgZJq5127dkVqaioAoHfv3sjJydF46rqbmxtcXFxgbW0NuVyOtLQ07Ny5Ew8ePNCoPS9qKEG8MVYZV/bo0SM4OzujsLAQzs7OSE9Ph5GRkco+LxaDKyoqKnMec3NzjBw5Ej4+PvDy8lJrqcHqYH9oJj8/H5aWlgCAAQMG4OTJk9pqKhERERE1Ug1+RL086enpePjwIYCS0fTjx49j3rx54vXt27ejbdu2KkuzvRjSNQ3o5U1dP3HihFjHHQD+/PPPCo9/+eWX4erqiqZNm8LExASFhYXi/vTff/9d7feurKEEcX1nZ2eH1157DT///DMyMzMRHx+PAQMG4Pr16/j222/x/fffIz09vdxjmzZtCm9vb4wZMwYjR45EkyZN6rj1jU9F/QGULBG5a9cu3L9/H8bGxmjbti3effdd2NraVng+5b57+eWXa7v5RERERNQINMqgfv78efG4Y8eOGDduHIqLiwEACxcuRI8ePfCPf/yj3KXWzMzMEBAQUGlAr8nUdWNjY9jb28PS0hLFxcV4+vQpnj59ijt37qgUnFJXs2bN0KlTJwbxBu4f//iHmN3x73//G+np6WVWMihlYGAANzc3LFu2DF5eXmJ0m7RHuT9iY2Nhbm6OkJAQ/Pbbb2Vmw8yePRsTJkzA8uXLVepclOLSbERERESkqUYX1NPS0vD999+L5zExMSKQDxkyBLm5uWjbti3kcrnKcaampggICMDcuXNVAnpNqq6XRy6Xq10gTnlEvGXLljh9+rQIb1ZWVjhw4AA8PT2r1Q7SDaXF4EprJQDA8ePHKz1GkiRcuXIFc+bMwd/+9jeGv1rw6quvisf79u3DihUrRBHKFz179gybN2/G4cOHERsbW6Y/GNSJiIiISFONJqinpKRg5syZOHjwoMr2q1evAii5Lz0+Ph5Hjx4tc+ywYcMQERGBnJwcHD16tNpV1zWl7tT0Z8+ewdvbW4R0GxsbxMTEoG/fvrXWNqo96hSDK2Vraws/Pz+8+eabyM/PR3R0NLZt24a8vDykpqZi9OjROHPmDKysrOrwHTR+rVu3hp2dHR49eqSyHKSrqyv8/f0xePBgtfuDS7MRERERkaYaRVBPTU2Fp6cn7t+/X+E+T548UXluYGAgRsXv3r2L9u3b4/nz51pvm729Pdzc3Ko9Nb00pJeOuDKkN0zqFIMzNDRUWW3gzTffxM6dO2Fubi62jRgxAvPmzcPw4cNx48YNXL16Ff/9738xY8aMOnkf+qL09gLlQnnV7Q/lEXXeo05ERERE6mgUVd99fX2xd+/eOr9ueSPip06dQmxsLADgjTfewL59+6q9ZjVDeomGWmX8+vXriIqKQlRUFOLi4srdR7kY3NatW7Fv3z4AJV/w3LlzR1QLf1FCQgJ69eoFAHBzc8Ply5drtDa6Jhpqf2hK+b8rNemPIUOG4I8//gBQMpvC2tq6DlpPRERERA1Zgx9Rv3v3LqKjo2vt/K6urmpXTU9ISMDy5csBABYWFli/fj1Duh5RKBQ4e/asCOfXrl0rd7+XX34ZY8aMwZgxYzBw4EARetetWyf28fLyqjAUAiWrGQwYMACnTp1CUlISrl69Cjc3NwAlxRQPHjyI6dOnw87OTovvUL88fvxYPK5Jf5SOqDdt2pQhnYiIiIjU0uCDenJyssp0YU2ZmJigW7du6NKlC9q1a1ftqunFxcXw9/cXbVm8eDFat25drTYxpDccpcXgoqKiEB0djczMzHL36969uwjnHh4e5X6BozwdvlOnTlVeu3///jh16hSAklHb0r9VmUyG4uJibN68GTdu3KjRGuD6TBv9IUmSWPrRxsamdhpKRERERI1Ogw/qZmZmNTq+qKgI58+fx4ULF9CiRYsKR89dXV0rDe0bN24URafc3NwQFBRUrfYwpOs+dYrBGRoawtPTE2PGjIGPjw/atWtX5XmVA7U69RJyc3PF4wcPHpR5PS0tDZs3b4a/v3+V56KytN0fNflCkYiIiIj0S4MP6h4eHnB0dCz3g7EyW1tbmJiYVLifJEnIyMhARkZGuffcGhgYVBjkmzRpggULFoh9w8PDq7V+OUO67lKnGJy5uTlGjhwJHx8feHl5oVmzZhpdQ/lLp9KR2YoUFRWp3PLh7OwMQ0NDAEBBQQGysrIAAAsWLMDYsWPh4OCgUVtIe/0hSRIsLS3x2Wef1U5DiYiIiKjRafBB3czMDAEBAViyZEml++3duxdDhgxBXl4ehg0bhvj4eADAjBkz8ODBA9y6dQu3bt2qdpAv1axZM2zevBkxMTEajcgzpOseTYvBjRw5Ek2aNKn29SwsLMTjw4cP4+LFi+jRo0e5+27cuBEymQxASdGzPXv2qLw+ceJE7NixA48fP8b8+fOxefPmardLX2mzP4iIiIiINNEoqr7L5XKMHz8ekZGR5b6+du1azJo1C0BJ4HZwcMCjR4/g5OQkPlyXysvLw+3bt0Vwf/GnqpH7ilQ2Iu/k5ITAwECxxjtDuqq6qjJe02JwNdWjRw9cunRJPG/WrBm+/fZbvP766+Ke9ufPnyM8PBxz5sxBcXExACA2NhavvvqqyrlkMhk6deokpuWfPn0a/fr100o79aXquzb7g4iIiIhIE40iqAMlISsyMhJff/01Ll68CBMTEwwbNgyBgYHo37+/2C89PV2sZTxq1CgcOHBAo+soB/nk5GSEhoaK6tBWVlYq96lWh5GREUaMGIHevXtrNCLfmNVmMNRmMbiatsPKygpFRUUwNzdXuSe6Q4cOGDRoEJ4/f44DBw7g0aNH4rXAwEB8+eWX5bbnyy+/xEcffQSgpCr5mTNntFJYTh+Cem30BxERERGRuhr81PdShoaGGDduHMaNG1fpfhcvXhSPe/bsqfF1mjRpAjc3N7i5uWHZsmUipA8YMADHjx9Hfn5+jUbki4uLceDAgTJfIFQ2Iq/vQV5TtVUMribOnTsn7nv39vaGTCbD8ePHAZSsbJCcnFzmmFmzZmHVqlUVhsKAgAB88803SExMREJCAgvLaaA2+oOIiIiISF2NJqir68KFC+JxRfebqiMlJUWsmW5kZITw8HAYGhqqBPnylI7IX7t2DfPnz8eNGzfEOaytrfHkyZNyj6tJsTsG+bopBlcThw4dEo9HjRqFSZMmITo6Gl999RWOHDkiXjM1NcU777yDf/3rXxgwYECl5zQ2NsaGDRswePBgACwsp4na6A8iIiIiInU1mqnv6ho7dqwo9JSUlIQuXbpofA5JkvDaa6+JD/Mff/wxvvjiC7WPr6xwXH3cI6/rQb66U63ruhhcTSjfD3379m1xewZQcr/5/fv3YWJiAhcXF7z00ksanbu0sBwATJ06tcaF5fRh6ntt9gcRERERUVX0Lqh36NABKSkpsLCwQE5OTrXu2d21a5eYYu/q6oqkpCRYWVmpdWxNq7vrY5BXNxjWdzG46rpw4QI8PDwAAH379hUrEmiLtgvLNfagXtv9QURERERUFb2a+p6Tk4OUlBQAQLdu3aoV0rOzs0WBLgBYt25dnYV0AGpPrdc0yDfUqfW6UgyuJjZs2CAeT548Wevnb968OZYuXSr+bgMCArRWWK4xqu3+ICIiIiKqil6NqJ86dQqenp4AgGnTpmHTpk0an2PWrFlYt24dgJIiU9HR0WqFPl1ZJ72+RuTbtGkDQ0PDap37xRHcX3/9VeeKwVVXeno62rVrh6KiIlhbWyMjIwM2NjZav45cLsff/vY3JCYmAgDCw8OrXViuMY+o11V/EBERERFVRq9G1GtaSC4hIQHr168HAFhYWGDdunUNKqQD9Tcib2ZmBnt7+xqPZF+4cAEODg46VwyuukJCQsR7mTlzZq2FwhcLywUEBGDp0qXV/vKkVFZWljaapzPqqj+IiIiIiCqjVyPq06dPF4W0Tpw4IUbX1VFcXIz+/fvj7NmzAIAVK1Zg3rx5VR6nSyFdG2prRL66dKUYXHUcP35cBOemTZsiOTkZ9vb2tXpN5cJy2mBlZYWcnBytna8+1Ud/EBERERGVR69G1JXXUHd3d9fo2I0bN4qQ7ubmhqCgoCqPaWwhHajeiPypU6eQkpICY+PK/9wkSUJRURHy8/Px/PlzyOXycvfTtWJw1ZGTkwM/Pz/xPDQ0tE5CYXh4OLKzsxEfH19lf1Tmr7/+AgC0aNFCW02rV/XVH0RERERE5dGbEXW5XA5ra2s8f/4c7dq1E0Xl1CGTydC5c2c8ffoUAPDHH3+IkbeKNMaQXhvULQZXqkePHjh//rxOFYPTlCRJGD9+PH744QcAQL9+/XDixIkGU9ytsd2j3tD7g4iIiIgaH70ZUU9OTsbz588BAD179tTo2NmzZ4uQPnnyZIb0GsrOztaoGNwbb7yBzp07AyiZat2QQzoALF26VIRCGxsb7Nixg6GwHrE/iIiIiEjX6E1QV572rklQj42Nxc6dOwEAdnZ2WLlyZaX7M6SXLzMzEz///DOioqIQGxurUTG4iqbAN0Rr1qzBkiVLAJRUyo+IiNDZivT6gP1BRERERLpIb4J6dSq+FxQUYMaMGeL5559/DkdHxwr3Z0hXdf36dURFRSEqKgpxcXHl7tOQi8FpQpIkLF68GMuWLRPbwsLCMGbMmPprlB5jfxARERGRLtOboF6dEfWVK1fixo0bAIABAwaoFJt6EUM6oFAocPbsWRHOr127Vu5+jaEYnCays7MxZcoU7N69W2wLDQ1FcHBwPbZKf7E/iIiIiEjX6U1QLx1Rb9q0KVq2bFnl/ikpKVi+fDkAwMjICOHh4RWuOa3PIV3dYnDdu3cX4dzDw6PB32euriNHjsDPzw+3bt0S29auXYtZs2bVX6P0GPuDiIiIiBoCvQjq9+7dg0wmA1Ayml5VSJQkCQEBASgoKAAABAUFVbicmz6GdE2Lwfn4+Ojdfb+pqalYtGiRKFIGlPxtfPfdd/Dy8qrHlukn9gcRERERNSR6EdQ1nfYeGRmJQ4cOAQBcXV2xePHicvfTp5Bek2Jw+kKSJMTFxWH9+vXYtWuXShG8QYMGISIiAm3atKnHFuoX9gcRERERNVR6EdQ1KSSXnZ2Njz76SDxft24drKysyuynDyGdxeCqlpOTg7i4OMTExCAqKgrJyckqr9vb2+Ozzz7DlClTKrx1grSH/UFEREREjYHeBfWqRtRDQkLEfdbe3t7w8fEps09jDekNoRhcamoqZs6cWWfXK1VQUIAtW7agefPmePXVV3Hv3j2kpqbi9u3bkCSpzP729vYIDAxEUFAQbGxs6ry9dYX9QURERESkfQZSeZ9qG5DJkycjIiICAODk5CTuRVfWtWtXJCUlwcTEBLm5uTA1NS2zz7vvvosff/xRPDc3N8fVq1fRunVrlf0aW0hvCMXg5HJ5g6gMb2hoiMGDB+P999/HuHHjYGFhUd9NqhXsDyIiIiKi2qWTI+oBAQH46quv8Pvvv2PYsGEqr6WlpaF79+7o27evCMsODg5Ys2aNygdxhUKBHTt24KeffkJSUhIAwMDAAIGBgVi8eDFcXFxUzvuvf/0LZ86cwc2bNwGUjKw31pDe0IrBGRsbw8fHB9HR0fXWhvLY2NigS5cu6NWrFzw9PTFy5Eg4ODjUd7NqHfuDiIiIiKh26eSIek5ODrp16wYjIyMkJiaK+54lScKwYcMQFxeHxMREtGvXDpMnT8bRo0dVllsCgNzcXFhbW6Nz585iCnfXrl1x69YtWFpa4s8//8TLL78s9v/qq68QEBAgnufl5cHS0lI8b+ghvaEXg5MkCZcvXxaV+OvD48ePYWtrC1tbWzRr1gw2NjZ6s8zci9gfRERERES1RydH1K2trfH111/j9ddfx8KFC7F27VoAwKZNm3DkyBGEhYVVOcJramqKY8eO4fr165g2bRoAYOrUqXB3d8ewYcMQFhaGdevWAQBkMhkWLFhQ5vhSDTWkN6ZicAYGBujevXt9N4P+D/uDiIiIiKj26GRQB4DRo0dj4sSJ+M9//oNx48bB1dUVc+fORZ8+fVSqslfE1NQUgwYNUrnvvEePHhg6dCjs7Oxw5coVsX327Nl4+vQpAKBdu3ZITU0VrzWkkN4QisERERERERFR5XQ2qAPA2rVrcfDgQUyZMgWtWrVCfn4+vvnmGxgZGal9DuU11Hv06IGcnBzk5uaKad2xsbHYuXMnAMDOzg69e/cWQb0hhPSGUAyOiIiIiIiI1KfTQd3Ozk6MqF+9ehWLFy/WaLqtQqEQQd3V1RV2dnb45JNPUFhYiPHjx6OgoAAzZswQ+3/++ec4ceIEgJKQ/uabb+pkSG9oxeCIiIiIiIhIfTod1AGoVG0ePXq0RsfevHkTOTk5AErWT//tt9+wfPly+Pr6wtvbG8uWLcONGzcAAAMGDICfn58I6j4+Pjh69CgA3QjpDb0YHBEREREREalHp4P6s2fPMG3aNLi6uiI3NxczZszAmTNn1J76rjzt3cHBAe+88w569eqFiIgIpKSkYPny5QAAIyMjhIeHw9DQEHK5HAB0IqQ3pmJwREREREREpB6dDuqLFi1CWloafvvtN9y9exdTpkzBqlWrMHfuXLWOv3DhgngcGRmJVq1a4cCBA2jSpAkCAgLE0lJBQUFwd3fHs2fPEBsbK46p65DOYnBERERERESks0E9Pj4eX375JSZNmoTXXnsNALBz504sWbIEvr6+aN++fZXnUB5Rt7OzQ0xMDOzs7LBr1y4cOnQIQMm964sXLxaF42QyGYCSJeLqIqSzGBwREREREREpM5AkSarvRryosLAQHh4eePjwIZKSkmBnZwcASEtLQ/fu3fHKK6+IIm+TJ0/G0aNHcevWrTLncXFxQWZmJgwMDJCSkoK2bdsiOzsbnTt3FoF47969GDlypEp1dwA4efIkBgwYUCvvj8XgiIiIiIiIqCI6OaL+6aefIikpCbt27RIhHQDatm2LpUuX4uOPP8aWLVswderUCs9x+/ZtEcZbtGiBU6dO4dSpU9i+fbvY7u3tjREjRqiEdBMTExQVFWl9JJ3F4IiIiIiIiEgdOjeifunSJfTu3RtvvPEG9u7dW+b14uJi9OvXDykpKUhKSsL8+fPLHVH/4Ycf8M9//rPC6xgYGODKlSuYOXOmyhJsgwYNwi+//IKioiIYG9fsewwWgyMiIiIiIiJN6dyIuru7OwoLCyt83cjICGfPnlXZplAokJWVBUNDQzECX3qvOQBs2rQJfn5+6N+/vzg2NDRUJaRbW1sjMjISW7durXbbWQyOiIiIiIiIakrngnp1pKenw9HREU5OTiKgK1d879mzJzZu3ChCepcuXXD48GGVJdj69u2LUaNGaXxtFoMjIiIiIiIibWrwQX3u3Ll47733AABmZmZie2nFd0NDQzg4OGDBggXiNXNz8zLrpFtaWqqMwle2VjuLwREREREREVFt0bl71LWhsLAQVlZWKCoqQpcuXeDh4YGdO3cCAJo3by4CuSbrpLMYHBEREREREdWFBj+iXp5r166JIN28eXMR0o2NjTUK6SwGR0RERERERHWtUQZ15fvTExMTxWO5XA6g4pDOYnBERERERERU3xpdUE9LS8OePXvE86ysLJXXXwzpLAZHREREREREuqTR3KOekpKCmTNn4uDBgxXuUxrSO3fuzGJwREREREREpJMaRVBPTU3FgAEDcP/+/Qr3sbKyQkBAAC5evMhicERERERERKSzGkVQ9/X1xd69e6t1LIvBERERERERkS5p8EH97t27cHV1hUKhUPsYFoMjIiIiIiIiXdXgi8klJyerHdIXLVqEN998k8XgiIiIiIiISGc1+BH1uLg49O/fv8r9zMzM8Pz58zpoEREREREREVH1GdZ3A2rKw8MDjo6OVe43evToOmgNERERERERUc00+KBuZmaGgICAKvebNWtWHbSGiIiIiIiIqGYafFAHgIULF+Ltt9+u8PW1a9diyJAhddcgIiIiIiIiompq8Peol1IoFIiMjMTXX3+NixcvwsTEBMOGDUNgYKBa97ATERERERER6YJGE9SJiIiIiIiIGoNGMfWdiIiIiIiIqLFgUCciIiIiIiLSIQzqRERERERERDqEQZ2IiIiIiIhIhzCoExEREREREekQBnUiIiIiIiIiHcKgTkRERERERKRDGNSJiIiIiIiIdAiDOhEREREREZEOYVAnIiIiIiIi0iEM6kREREREREQ6hEGdiIiIiIiISIcwqBMRERERERHpEAZ1IiIiIiIiIh3CoE5ERERERESkQxjUiYiIiIiIiHQIgzoRERERERGRDmFQJyIiIiIiItIhDOpEREREREREOoRBnYiIiIiIiEiHMKgTERERERER6RAGdSIiIiIiIiIdwqBOREREREREpEMY1ImIiIiIiIh0CIM6ERERERERkQ5hUCciIiIiIiLSIQzqRERERERERDqEQZ2IiIiIiIhIhzCoExEREREREekQBnUiIiIiIiIiHcKgTkRERERERKRDGNSJiIiIiIiIdAiDOhEREREREZEOYVAnIiIiIiIi0iEM6kREREREREQ6hEGdiIiIiIiISIcwqBMRERERERHpEAZ1IiIiIiIiIh3CoE5ERERERESkQxjUiYiIiIiIiHQIgzoRERERERGRDmFQJyIiIiIiItIhDOpEREREREREOoRBnYiIiIiIiEiH/D8Xt3JtPLm5xgAAAABJRU5ErkJggg==\n",
      "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"721.98pt\" height=\"663.57pt\" viewBox=\"0 0 721.98 663.57\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2023-09-12T12:20:43.689934</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.7.2, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 663.57 \n",
       "L 721.98 663.57 \n",
       "L 721.98 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 169.11 595.755 \n",
       "C 170.255677 595.755 171.354585 595.299818 172.164701 594.489701 \n",
       "C 172.974818 593.679585 173.43 592.580677 173.43 591.435 \n",
       "C 173.43 590.289323 172.974818 589.190415 172.164701 588.380299 \n",
       "C 171.354585 587.570182 170.255677 587.115 169.11 587.115 \n",
       "C 167.964323 587.115 166.865415 587.570182 166.055299 588.380299 \n",
       "C 165.245182 589.190415 164.79 590.289323 164.79 591.435 \n",
       "C 164.79 592.580677 165.245182 593.679585 166.055299 594.489701 \n",
       "C 166.865415 595.299818 167.964323 595.755 169.11 595.755 \n",
       "L 169.11 595.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 241.11 595.755 \n",
       "C 242.255677 595.755 243.354585 595.299818 244.164701 594.489701 \n",
       "C 244.974818 593.679585 245.43 592.580677 245.43 591.435 \n",
       "C 245.43 590.289323 244.974818 589.190415 244.164701 588.380299 \n",
       "C 243.354585 587.570182 242.255677 587.115 241.11 587.115 \n",
       "C 239.964323 587.115 238.865415 587.570182 238.055299 588.380299 \n",
       "C 237.245182 589.190415 236.79 590.289323 236.79 591.435 \n",
       "C 236.79 592.580677 237.245182 593.679585 238.055299 594.489701 \n",
       "C 238.865415 595.299818 239.964323 595.755 241.11 595.755 \n",
       "L 241.11 595.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 138.51 559.755 \n",
       "C 139.655677 559.755 140.754585 559.299818 141.564701 558.489701 \n",
       "C 142.374818 557.679585 142.83 556.580677 142.83 555.435 \n",
       "C 142.83 554.289323 142.374818 553.190415 141.564701 552.380299 \n",
       "C 140.754585 551.570182 139.655677 551.115 138.51 551.115 \n",
       "C 137.364323 551.115 136.265415 551.570182 135.455299 552.380299 \n",
       "C 134.645182 553.190415 134.19 554.289323 134.19 555.435 \n",
       "C 134.19 556.580677 134.645182 557.679585 135.455299 558.489701 \n",
       "C 136.265415 559.299818 137.364323 559.755 138.51 559.755 \n",
       "L 138.51 559.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 241.11 559.755 \n",
       "C 242.255677 559.755 243.354585 559.299818 244.164701 558.489701 \n",
       "C 244.974818 557.679585 245.43 556.580677 245.43 555.435 \n",
       "C 245.43 554.289323 244.974818 553.190415 244.164701 552.380299 \n",
       "C 243.354585 551.570182 242.255677 551.115 241.11 551.115 \n",
       "C 239.964323 551.115 238.865415 551.570182 238.055299 552.380299 \n",
       "C 237.245182 553.190415 236.79 554.289323 236.79 555.435 \n",
       "C 236.79 556.580677 237.245182 557.679585 238.055299 558.489701 \n",
       "C 238.865415 559.299818 239.964323 559.755 241.11 559.755 \n",
       "L 241.11 559.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 313.11 559.755 \n",
       "C 314.255677 559.755 315.354585 559.299818 316.164701 558.489701 \n",
       "C 316.974818 557.679585 317.43 556.580677 317.43 555.435 \n",
       "C 317.43 554.289323 316.974818 553.190415 316.164701 552.380299 \n",
       "C 315.354585 551.570182 314.255677 551.115 313.11 551.115 \n",
       "C 311.964323 551.115 310.865415 551.570182 310.055299 552.380299 \n",
       "C 309.245182 553.190415 308.79 554.289323 308.79 555.435 \n",
       "C 308.79 556.580677 309.245182 557.679585 310.055299 558.489701 \n",
       "C 310.865415 559.299818 311.964323 559.755 313.11 559.755 \n",
       "L 313.11 559.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 138.51 559.755 \n",
       "C 139.655677 559.755 140.754585 559.299818 141.564701 558.489701 \n",
       "C 142.374818 557.679585 142.83 556.580677 142.83 555.435 \n",
       "C 142.83 554.289323 142.374818 553.190415 141.564701 552.380299 \n",
       "C 140.754585 551.570182 139.655677 551.115 138.51 551.115 \n",
       "C 137.364323 551.115 136.265415 551.570182 135.455299 552.380299 \n",
       "C 134.645182 553.190415 134.19 554.289323 134.19 555.435 \n",
       "C 134.19 556.580677 134.645182 557.679585 135.455299 558.489701 \n",
       "C 136.265415 559.299818 137.364323 559.755 138.51 559.755 \n",
       "L 138.51 559.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 313.11 523.755 \n",
       "C 314.255677 523.755 315.354585 523.299818 316.164701 522.489701 \n",
       "C 316.974818 521.679585 317.43 520.580677 317.43 519.435 \n",
       "C 317.43 518.289323 316.974818 517.190415 316.164701 516.380299 \n",
       "C 315.354585 515.570182 314.255677 515.115 313.11 515.115 \n",
       "C 311.964323 515.115 310.865415 515.570182 310.055299 516.380299 \n",
       "C 309.245182 517.190415 308.79 518.289323 308.79 519.435 \n",
       "C 308.79 520.580677 309.245182 521.679585 310.055299 522.489701 \n",
       "C 310.865415 523.299818 311.964323 523.755 313.11 523.755 \n",
       "L 313.11 523.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 385.11 523.755 \n",
       "C 386.255677 523.755 387.354585 523.299818 388.164701 522.489701 \n",
       "C 388.974818 521.679585 389.43 520.580677 389.43 519.435 \n",
       "C 389.43 518.289323 388.974818 517.190415 388.164701 516.380299 \n",
       "C 387.354585 515.570182 386.255677 515.115 385.11 515.115 \n",
       "C 383.964323 515.115 382.865415 515.570182 382.055299 516.380299 \n",
       "C 381.245182 517.190415 380.79 518.289323 380.79 519.435 \n",
       "C 380.79 520.580677 381.245182 521.679585 382.055299 522.489701 \n",
       "C 382.865415 523.299818 383.964323 523.755 385.11 523.755 \n",
       "L 385.11 523.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 354.51 487.755 \n",
       "C 355.655677 487.755 356.754585 487.299818 357.564701 486.489701 \n",
       "C 358.374818 485.679585 358.83 484.580677 358.83 483.435 \n",
       "C 358.83 482.289323 358.374818 481.190415 357.564701 480.380299 \n",
       "C 356.754585 479.570182 355.655677 479.115 354.51 479.115 \n",
       "C 353.364323 479.115 352.265415 479.570182 351.455299 480.380299 \n",
       "C 350.645182 481.190415 350.19 482.289323 350.19 483.435 \n",
       "C 350.19 484.580677 350.645182 485.679585 351.455299 486.489701 \n",
       "C 352.265415 487.299818 353.364323 487.755 354.51 487.755 \n",
       "L 354.51 487.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 457.11 487.755 \n",
       "C 458.255677 487.755 459.354585 487.299818 460.164701 486.489701 \n",
       "C 460.974818 485.679585 461.43 484.580677 461.43 483.435 \n",
       "C 461.43 482.289323 460.974818 481.190415 460.164701 480.380299 \n",
       "C 459.354585 479.570182 458.255677 479.115 457.11 479.115 \n",
       "C 455.964323 479.115 454.865415 479.570182 454.055299 480.380299 \n",
       "C 453.245182 481.190415 452.79 482.289323 452.79 483.435 \n",
       "C 452.79 484.580677 453.245182 485.679585 454.055299 486.489701 \n",
       "C 454.865415 487.299818 455.964323 487.755 457.11 487.755 \n",
       "L 457.11 487.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 529.11 487.755 \n",
       "C 530.255677 487.755 531.354585 487.299818 532.164701 486.489701 \n",
       "C 532.974818 485.679585 533.43 484.580677 533.43 483.435 \n",
       "C 533.43 482.289323 532.974818 481.190415 532.164701 480.380299 \n",
       "C 531.354585 479.570182 530.255677 479.115 529.11 479.115 \n",
       "C 527.964323 479.115 526.865415 479.570182 526.055299 480.380299 \n",
       "C 525.245182 481.190415 524.79 482.289323 524.79 483.435 \n",
       "C 524.79 484.580677 525.245182 485.679585 526.055299 486.489701 \n",
       "C 526.865415 487.299818 527.964323 487.755 529.11 487.755 \n",
       "L 529.11 487.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 169.11 379.755 \n",
       "C 170.255677 379.755 171.354585 379.299818 172.164701 378.489701 \n",
       "C 172.974818 377.679585 173.43 376.580677 173.43 375.435 \n",
       "C 173.43 374.289323 172.974818 373.190415 172.164701 372.380299 \n",
       "C 171.354585 371.570182 170.255677 371.115 169.11 371.115 \n",
       "C 167.964323 371.115 166.865415 371.570182 166.055299 372.380299 \n",
       "C 165.245182 373.190415 164.79 374.289323 164.79 375.435 \n",
       "C 164.79 376.580677 165.245182 377.679585 166.055299 378.489701 \n",
       "C 166.865415 379.299818 167.964323 379.755 169.11 379.755 \n",
       "L 169.11 379.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 241.11 379.755 \n",
       "C 242.255677 379.755 243.354585 379.299818 244.164701 378.489701 \n",
       "C 244.974818 377.679585 245.43 376.580677 245.43 375.435 \n",
       "C 245.43 374.289323 244.974818 373.190415 244.164701 372.380299 \n",
       "C 243.354585 371.570182 242.255677 371.115 241.11 371.115 \n",
       "C 239.964323 371.115 238.865415 371.570182 238.055299 372.380299 \n",
       "C 237.245182 373.190415 236.79 374.289323 236.79 375.435 \n",
       "C 236.79 376.580677 237.245182 377.679585 238.055299 378.489701 \n",
       "C 238.865415 379.299818 239.964323 379.755 241.11 379.755 \n",
       "L 241.11 379.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 138.51 343.755 \n",
       "C 139.655677 343.755 140.754585 343.299818 141.564701 342.489701 \n",
       "C 142.374818 341.679585 142.83 340.580677 142.83 339.435 \n",
       "C 142.83 338.289323 142.374818 337.190415 141.564701 336.380299 \n",
       "C 140.754585 335.570182 139.655677 335.115 138.51 335.115 \n",
       "C 137.364323 335.115 136.265415 335.570182 135.455299 336.380299 \n",
       "C 134.645182 337.190415 134.19 338.289323 134.19 339.435 \n",
       "C 134.19 340.580677 134.645182 341.679585 135.455299 342.489701 \n",
       "C 136.265415 343.299818 137.364323 343.755 138.51 343.755 \n",
       "L 138.51 343.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 241.11 343.755 \n",
       "C 242.255677 343.755 243.354585 343.299818 244.164701 342.489701 \n",
       "C 244.974818 341.679585 245.43 340.580677 245.43 339.435 \n",
       "C 245.43 338.289323 244.974818 337.190415 244.164701 336.380299 \n",
       "C 243.354585 335.570182 242.255677 335.115 241.11 335.115 \n",
       "C 239.964323 335.115 238.865415 335.570182 238.055299 336.380299 \n",
       "C 237.245182 337.190415 236.79 338.289323 236.79 339.435 \n",
       "C 236.79 340.580677 237.245182 341.679585 238.055299 342.489701 \n",
       "C 238.865415 343.299818 239.964323 343.755 241.11 343.755 \n",
       "L 241.11 343.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 313.11 343.755 \n",
       "C 314.255677 343.755 315.354585 343.299818 316.164701 342.489701 \n",
       "C 316.974818 341.679585 317.43 340.580677 317.43 339.435 \n",
       "C 317.43 338.289323 316.974818 337.190415 316.164701 336.380299 \n",
       "C 315.354585 335.570182 314.255677 335.115 313.11 335.115 \n",
       "C 311.964323 335.115 310.865415 335.570182 310.055299 336.380299 \n",
       "C 309.245182 337.190415 308.79 338.289323 308.79 339.435 \n",
       "C 308.79 340.580677 309.245182 341.679585 310.055299 342.489701 \n",
       "C 310.865415 343.299818 311.964323 343.755 313.11 343.755 \n",
       "L 313.11 343.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 529.11 235.755 \n",
       "C 530.255677 235.755 531.354585 235.299818 532.164701 234.489701 \n",
       "C 532.974818 233.679585 533.43 232.580677 533.43 231.435 \n",
       "C 533.43 230.289323 532.974818 229.190415 532.164701 228.380299 \n",
       "C 531.354585 227.570182 530.255677 227.115 529.11 227.115 \n",
       "C 527.964323 227.115 526.865415 227.570182 526.055299 228.380299 \n",
       "C 525.245182 229.190415 524.79 230.289323 524.79 231.435 \n",
       "C 524.79 232.580677 525.245182 233.679585 526.055299 234.489701 \n",
       "C 526.865415 235.299818 527.964323 235.755 529.11 235.755 \n",
       "L 529.11 235.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 601.11 235.755 \n",
       "C 602.255677 235.755 603.354585 235.299818 604.164701 234.489701 \n",
       "C 604.974818 233.679585 605.43 232.580677 605.43 231.435 \n",
       "C 605.43 230.289323 604.974818 229.190415 604.164701 228.380299 \n",
       "C 603.354585 227.570182 602.255677 227.115 601.11 227.115 \n",
       "C 599.964323 227.115 598.865415 227.570182 598.055299 228.380299 \n",
       "C 597.245182 229.190415 596.79 230.289323 596.79 231.435 \n",
       "C 596.79 232.580677 597.245182 233.679585 598.055299 234.489701 \n",
       "C 598.865415 235.299818 599.964323 235.755 601.11 235.755 \n",
       "L 601.11 235.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 354.51 199.755 \n",
       "C 355.655677 199.755 356.754585 199.299818 357.564701 198.489701 \n",
       "C 358.374818 197.679585 358.83 196.580677 358.83 195.435 \n",
       "C 358.83 194.289323 358.374818 193.190415 357.564701 192.380299 \n",
       "C 356.754585 191.570182 355.655677 191.115 354.51 191.115 \n",
       "C 353.364323 191.115 352.265415 191.570182 351.455299 192.380299 \n",
       "C 350.645182 193.190415 350.19 194.289323 350.19 195.435 \n",
       "C 350.19 196.580677 350.645182 197.679585 351.455299 198.489701 \n",
       "C 352.265415 199.299818 353.364323 199.755 354.51 199.755 \n",
       "L 354.51 199.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 529.11 199.755 \n",
       "C 530.255677 199.755 531.354585 199.299818 532.164701 198.489701 \n",
       "C 532.974818 197.679585 533.43 196.580677 533.43 195.435 \n",
       "C 533.43 194.289323 532.974818 193.190415 532.164701 192.380299 \n",
       "C 531.354585 191.570182 530.255677 191.115 529.11 191.115 \n",
       "C 527.964323 191.115 526.865415 191.570182 526.055299 192.380299 \n",
       "C 525.245182 193.190415 524.79 194.289323 524.79 195.435 \n",
       "C 524.79 196.580677 525.245182 197.679585 526.055299 198.489701 \n",
       "C 526.865415 199.299818 527.964323 199.755 529.11 199.755 \n",
       "L 529.11 199.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_22\">\n",
       "    <path d=\"M 673.11 199.755 \n",
       "C 674.255677 199.755 675.354585 199.299818 676.164701 198.489701 \n",
       "C 676.974818 197.679585 677.43 196.580677 677.43 195.435 \n",
       "C 677.43 194.289323 676.974818 193.190415 676.164701 192.380299 \n",
       "C 675.354585 191.570182 674.255677 191.115 673.11 191.115 \n",
       "C 671.964323 191.115 670.865415 191.570182 670.055299 192.380299 \n",
       "C 669.245182 193.190415 668.79 194.289323 668.79 195.435 \n",
       "C 668.79 196.580677 669.245182 197.679585 670.055299 198.489701 \n",
       "C 670.865415 199.299818 671.964323 199.755 673.11 199.755 \n",
       "L 673.11 199.755 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 146.79 609.435 \n",
       "L 147.943264 609.398017 \n",
       "L 149.091789 609.28722 \n",
       "L 150.230855 609.103065 \n",
       "L 151.355783 608.846308 \n",
       "L 152.461948 608.518003 \n",
       "L 153.544806 608.119502 \n",
       "L 154.599907 607.65244 \n",
       "L 155.622916 607.118737 \n",
       "L 156.609628 606.520586 \n",
       "L 157.55599 605.860445 \n",
       "L 158.458111 605.141027 \n",
       "L 159.312286 604.365288 \n",
       "L 160.115004 603.536416 \n",
       "L 160.862967 602.657816 \n",
       "L 161.553101 601.7331 \n",
       "L 162.18257 600.766066 \n",
       "L 162.748788 599.760689 \n",
       "L 163.249427 598.7211 \n",
       "L 163.682432 597.651571 \n",
       "L 164.046021 596.556497 \n",
       "L 164.338702 595.440377 \n",
       "L 164.559272 594.307798 \n",
       "L 164.706824 593.163414 \n",
       "L 164.780752 592.011928 \n",
       "L 164.780752 590.858072 \n",
       "L 164.706824 589.706586 \n",
       "L 164.559272 588.562202 \n",
       "L 164.338702 587.429623 \n",
       "L 164.046021 586.313503 \n",
       "L 163.682432 585.218429 \n",
       "L 163.249427 584.1489 \n",
       "L 162.748788 583.109311 \n",
       "L 162.18257 582.103934 \n",
       "L 161.553101 581.1369 \n",
       "L 160.862967 580.212184 \n",
       "L 160.115004 579.333584 \n",
       "L 159.312286 578.504712 \n",
       "L 158.458111 577.728973 \n",
       "L 157.55599 577.009555 \n",
       "L 156.609628 576.349414 \n",
       "L 155.622916 575.751263 \n",
       "L 154.599907 575.21756 \n",
       "L 153.544806 574.750498 \n",
       "L 152.461948 574.351997 \n",
       "L 151.355783 574.023692 \n",
       "L 150.230855 573.766935 \n",
       "L 149.091789 573.58278 \n",
       "L 147.943264 573.471983 \n",
       "L 146.79 573.435 \n",
       "L 146.79 573.435 \n",
       "L 123.39 573.435 \n",
       "L 123.39 591.435 \n",
       "L 123.39 609.435 \n",
       "L 146.79 609.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 110.79 600.435 \n",
       "L 123.39 600.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 110.79 582.435 \n",
       "L 123.39 582.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 173.43 591.435 \n",
       "L 177.39 591.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 110.79 582.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 110.79 600.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 218.79 609.435 \n",
       "L 219.943264 609.398017 \n",
       "L 221.091789 609.28722 \n",
       "L 222.230855 609.103065 \n",
       "L 223.355783 608.846308 \n",
       "L 224.461948 608.518003 \n",
       "L 225.544806 608.119502 \n",
       "L 226.599907 607.65244 \n",
       "L 227.622916 607.118737 \n",
       "L 228.609628 606.520586 \n",
       "L 229.55599 605.860445 \n",
       "L 230.458111 605.141027 \n",
       "L 231.312286 604.365288 \n",
       "L 232.115004 603.536416 \n",
       "L 232.862967 602.657816 \n",
       "L 233.553101 601.7331 \n",
       "L 234.18257 600.766066 \n",
       "L 234.748788 599.760689 \n",
       "L 235.249427 598.7211 \n",
       "L 235.682432 597.651571 \n",
       "L 236.046021 596.556497 \n",
       "L 236.338702 595.440377 \n",
       "L 236.559272 594.307798 \n",
       "L 236.706824 593.163414 \n",
       "L 236.780752 592.011928 \n",
       "L 236.780752 590.858072 \n",
       "L 236.706824 589.706586 \n",
       "L 236.559272 588.562202 \n",
       "L 236.338702 587.429623 \n",
       "L 236.046021 586.313503 \n",
       "L 235.682432 585.218429 \n",
       "L 235.249427 584.1489 \n",
       "L 234.748788 583.109311 \n",
       "L 234.18257 582.103934 \n",
       "L 233.553101 581.1369 \n",
       "L 232.862967 580.212184 \n",
       "L 232.115004 579.333584 \n",
       "L 231.312286 578.504712 \n",
       "L 230.458111 577.728973 \n",
       "L 229.55599 577.009555 \n",
       "L 228.609628 576.349414 \n",
       "L 227.622916 575.751263 \n",
       "L 226.599907 575.21756 \n",
       "L 225.544806 574.750498 \n",
       "L 224.461948 574.351997 \n",
       "L 223.355783 574.023692 \n",
       "L 222.230855 573.766935 \n",
       "L 221.091789 573.58278 \n",
       "L 219.943264 573.471983 \n",
       "L 218.79 573.435 \n",
       "L 218.79 573.435 \n",
       "L 195.39 573.435 \n",
       "L 195.39 591.435 \n",
       "L 195.39 609.435 \n",
       "L 218.79 609.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 182.79 600.435 \n",
       "L 195.39 600.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 182.79 582.435 \n",
       "L 195.39 582.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 245.43 591.435 \n",
       "L 249.39 591.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 38.79 627.435 \n",
       "L 182.79 582.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 177.39 591.435 \n",
       "L 182.79 600.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 110.79 555.435 \n",
       "M 142.83 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 110.79 537.435 \n",
       "L 134.19 555.435 \n",
       "L 110.79 573.435 \n",
       "L 110.79 537.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 38.79 627.435 \n",
       "L 110.79 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 218.79 573.435 \n",
       "L 219.943264 573.398017 \n",
       "L 221.091789 573.28722 \n",
       "L 222.230855 573.103065 \n",
       "L 223.355783 572.846308 \n",
       "L 224.461948 572.518003 \n",
       "L 225.544806 572.119502 \n",
       "L 226.599907 571.65244 \n",
       "L 227.622916 571.118737 \n",
       "L 228.609628 570.520586 \n",
       "L 229.55599 569.860445 \n",
       "L 230.458111 569.141027 \n",
       "L 231.312286 568.365288 \n",
       "L 232.115004 567.536416 \n",
       "L 232.862967 566.657816 \n",
       "L 233.553101 565.7331 \n",
       "L 234.18257 564.766066 \n",
       "L 234.748788 563.760689 \n",
       "L 235.249427 562.7211 \n",
       "L 235.682432 561.651571 \n",
       "L 236.046021 560.556497 \n",
       "L 236.338702 559.440377 \n",
       "L 236.559272 558.307798 \n",
       "L 236.706824 557.163414 \n",
       "L 236.780752 556.011928 \n",
       "L 236.780752 554.858072 \n",
       "L 236.706824 553.706586 \n",
       "L 236.559272 552.562202 \n",
       "L 236.338702 551.429623 \n",
       "L 236.046021 550.313503 \n",
       "L 235.682432 549.218429 \n",
       "L 235.249427 548.1489 \n",
       "L 234.748788 547.109311 \n",
       "L 234.18257 546.103934 \n",
       "L 233.553101 545.1369 \n",
       "L 232.862967 544.212184 \n",
       "L 232.115004 543.333584 \n",
       "L 231.312286 542.504712 \n",
       "L 230.458111 541.728973 \n",
       "L 229.55599 541.009555 \n",
       "L 228.609628 540.349414 \n",
       "L 227.622916 539.751263 \n",
       "L 226.599907 539.21756 \n",
       "L 225.544806 538.750498 \n",
       "L 224.461948 538.351997 \n",
       "L 223.355783 538.023692 \n",
       "L 222.230855 537.766935 \n",
       "L 221.091789 537.58278 \n",
       "L 219.943264 537.471983 \n",
       "L 218.79 537.435 \n",
       "L 218.79 537.435 \n",
       "L 195.39 537.435 \n",
       "L 195.39 555.435 \n",
       "L 195.39 573.435 \n",
       "L 218.79 573.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 182.79 564.435 \n",
       "L 195.39 564.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 182.79 546.435 \n",
       "L 195.39 546.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 245.43 555.435 \n",
       "L 249.39 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path d=\"M 142.83 555.435 \n",
       "L 182.79 546.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 182.79 564.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path d=\"M 290.79 573.435 \n",
       "L 291.943264 573.398017 \n",
       "L 293.091789 573.28722 \n",
       "L 294.230855 573.103065 \n",
       "L 295.355783 572.846308 \n",
       "L 296.461948 572.518003 \n",
       "L 297.544806 572.119502 \n",
       "L 298.599907 571.65244 \n",
       "L 299.622916 571.118737 \n",
       "L 300.609628 570.520586 \n",
       "L 301.55599 569.860445 \n",
       "L 302.458111 569.141027 \n",
       "L 303.312286 568.365288 \n",
       "L 304.115004 567.536416 \n",
       "L 304.862967 566.657816 \n",
       "L 305.553101 565.7331 \n",
       "L 306.18257 564.766066 \n",
       "L 306.748788 563.760689 \n",
       "L 307.249427 562.7211 \n",
       "L 307.682432 561.651571 \n",
       "L 308.046021 560.556497 \n",
       "L 308.338702 559.440377 \n",
       "L 308.559272 558.307798 \n",
       "L 308.706824 557.163414 \n",
       "L 308.780752 556.011928 \n",
       "L 308.780752 554.858072 \n",
       "L 308.706824 553.706586 \n",
       "L 308.559272 552.562202 \n",
       "L 308.338702 551.429623 \n",
       "L 308.046021 550.313503 \n",
       "L 307.682432 549.218429 \n",
       "L 307.249427 548.1489 \n",
       "L 306.748788 547.109311 \n",
       "L 306.18257 546.103934 \n",
       "L 305.553101 545.1369 \n",
       "L 304.862967 544.212184 \n",
       "L 304.115004 543.333584 \n",
       "L 303.312286 542.504712 \n",
       "L 302.458111 541.728973 \n",
       "L 301.55599 541.009555 \n",
       "L 300.609628 540.349414 \n",
       "L 299.622916 539.751263 \n",
       "L 298.599907 539.21756 \n",
       "L 297.544806 538.750498 \n",
       "L 296.461948 538.351997 \n",
       "L 295.355783 538.023692 \n",
       "L 294.230855 537.766935 \n",
       "L 293.091789 537.58278 \n",
       "L 291.943264 537.471983 \n",
       "L 290.79 537.435 \n",
       "L 290.79 537.435 \n",
       "L 267.39 537.435 \n",
       "L 267.39 555.435 \n",
       "L 267.39 573.435 \n",
       "L 290.79 573.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path d=\"M 254.79 564.435 \n",
       "L 267.39 564.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path d=\"M 254.79 546.435 \n",
       "L 267.39 546.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <path d=\"M 317.43 555.435 \n",
       "L 321.39 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path d=\"M 249.39 591.435 \n",
       "L 254.79 546.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path d=\"M 249.39 555.435 \n",
       "L 254.79 564.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path d=\"M 110.79 555.435 \n",
       "M 142.83 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path d=\"M 110.79 537.435 \n",
       "L 134.19 555.435 \n",
       "L 110.79 573.435 \n",
       "L 110.79 537.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 110.79 555.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path d=\"M 218.79 537.435 \n",
       "L 219.943264 537.398017 \n",
       "L 221.091789 537.28722 \n",
       "L 222.230855 537.103065 \n",
       "L 223.355783 536.846308 \n",
       "L 224.461948 536.518003 \n",
       "L 225.544806 536.119502 \n",
       "L 226.599907 535.65244 \n",
       "L 227.622916 535.118737 \n",
       "L 228.609628 534.520586 \n",
       "L 229.55599 533.860445 \n",
       "L 230.458111 533.141027 \n",
       "L 231.312286 532.365288 \n",
       "L 232.115004 531.536416 \n",
       "L 232.862967 530.657816 \n",
       "L 233.553101 529.7331 \n",
       "L 234.18257 528.766066 \n",
       "L 234.748788 527.760689 \n",
       "L 235.249427 526.7211 \n",
       "L 235.682432 525.651571 \n",
       "L 236.046021 524.556497 \n",
       "L 236.338702 523.440377 \n",
       "L 236.559272 522.307798 \n",
       "L 236.706824 521.163414 \n",
       "L 236.780752 520.011928 \n",
       "L 236.780752 518.858072 \n",
       "L 236.706824 517.706586 \n",
       "L 236.559272 516.562202 \n",
       "L 236.338702 515.429623 \n",
       "L 236.046021 514.313503 \n",
       "L 235.682432 513.218429 \n",
       "L 235.249427 512.1489 \n",
       "L 234.748788 511.109311 \n",
       "L 234.18257 510.103934 \n",
       "L 233.553101 509.1369 \n",
       "L 232.862967 508.212184 \n",
       "L 232.115004 507.333584 \n",
       "L 231.312286 506.504712 \n",
       "L 230.458111 505.728973 \n",
       "L 229.55599 505.009555 \n",
       "L 228.609628 504.349414 \n",
       "L 227.622916 503.751263 \n",
       "L 226.599907 503.21756 \n",
       "L 225.544806 502.750498 \n",
       "L 224.461948 502.351997 \n",
       "L 223.355783 502.023692 \n",
       "L 222.230855 501.766935 \n",
       "L 221.091789 501.58278 \n",
       "L 219.943264 501.471983 \n",
       "L 218.79 501.435 \n",
       "L 218.79 501.435 \n",
       "L 195.39 501.435 \n",
       "L 195.39 519.435 \n",
       "L 195.39 537.435 \n",
       "L 218.79 537.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path d=\"M 182.79 528.435 \n",
       "L 195.39 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_33\">\n",
       "    <path d=\"M 182.79 510.435 \n",
       "L 195.39 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_34\">\n",
       "    <path d=\"M 236.79 519.435 \n",
       "L 249.39 519.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_35\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 182.79 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_36\">\n",
       "    <path d=\"M 142.83 555.435 \n",
       "L 182.79 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_37\">\n",
       "    <path d=\"M 290.79 537.435 \n",
       "L 291.943264 537.398017 \n",
       "L 293.091789 537.28722 \n",
       "L 294.230855 537.103065 \n",
       "L 295.355783 536.846308 \n",
       "L 296.461948 536.518003 \n",
       "L 297.544806 536.119502 \n",
       "L 298.599907 535.65244 \n",
       "L 299.622916 535.118737 \n",
       "L 300.609628 534.520586 \n",
       "L 301.55599 533.860445 \n",
       "L 302.458111 533.141027 \n",
       "L 303.312286 532.365288 \n",
       "L 304.115004 531.536416 \n",
       "L 304.862967 530.657816 \n",
       "L 305.553101 529.7331 \n",
       "L 306.18257 528.766066 \n",
       "L 306.748788 527.760689 \n",
       "L 307.249427 526.7211 \n",
       "L 307.682432 525.651571 \n",
       "L 308.046021 524.556497 \n",
       "L 308.338702 523.440377 \n",
       "L 308.559272 522.307798 \n",
       "L 308.706824 521.163414 \n",
       "L 308.780752 520.011928 \n",
       "L 308.780752 518.858072 \n",
       "L 308.706824 517.706586 \n",
       "L 308.559272 516.562202 \n",
       "L 308.338702 515.429623 \n",
       "L 308.046021 514.313503 \n",
       "L 307.682432 513.218429 \n",
       "L 307.249427 512.1489 \n",
       "L 306.748788 511.109311 \n",
       "L 306.18257 510.103934 \n",
       "L 305.553101 509.1369 \n",
       "L 304.862967 508.212184 \n",
       "L 304.115004 507.333584 \n",
       "L 303.312286 506.504712 \n",
       "L 302.458111 505.728973 \n",
       "L 301.55599 505.009555 \n",
       "L 300.609628 504.349414 \n",
       "L 299.622916 503.751263 \n",
       "L 298.599907 503.21756 \n",
       "L 297.544806 502.750498 \n",
       "L 296.461948 502.351997 \n",
       "L 295.355783 502.023692 \n",
       "L 294.230855 501.766935 \n",
       "L 293.091789 501.58278 \n",
       "L 291.943264 501.471983 \n",
       "L 290.79 501.435 \n",
       "L 290.79 501.435 \n",
       "L 267.39 501.435 \n",
       "L 267.39 519.435 \n",
       "L 267.39 537.435 \n",
       "L 290.79 537.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_38\">\n",
       "    <path d=\"M 254.79 528.435 \n",
       "L 267.39 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path d=\"M 254.79 510.435 \n",
       "L 267.39 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path d=\"M 317.43 519.435 \n",
       "L 321.39 519.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_41\">\n",
       "    <path d=\"M 249.39 519.435 \n",
       "L 254.79 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_42\">\n",
       "    <path d=\"M 249.39 519.435 \n",
       "L 254.79 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_43\">\n",
       "    <path d=\"M 362.79 537.435 \n",
       "L 363.943264 537.398017 \n",
       "L 365.091789 537.28722 \n",
       "L 366.230855 537.103065 \n",
       "L 367.355783 536.846308 \n",
       "L 368.461948 536.518003 \n",
       "L 369.544806 536.119502 \n",
       "L 370.599907 535.65244 \n",
       "L 371.622916 535.118737 \n",
       "L 372.609628 534.520586 \n",
       "L 373.55599 533.860445 \n",
       "L 374.458111 533.141027 \n",
       "L 375.312286 532.365288 \n",
       "L 376.115004 531.536416 \n",
       "L 376.862967 530.657816 \n",
       "L 377.553101 529.7331 \n",
       "L 378.18257 528.766066 \n",
       "L 378.748788 527.760689 \n",
       "L 379.249427 526.7211 \n",
       "L 379.682432 525.651571 \n",
       "L 380.046021 524.556497 \n",
       "L 380.338702 523.440377 \n",
       "L 380.559272 522.307798 \n",
       "L 380.706824 521.163414 \n",
       "L 380.780752 520.011928 \n",
       "L 380.780752 518.858072 \n",
       "L 380.706824 517.706586 \n",
       "L 380.559272 516.562202 \n",
       "L 380.338702 515.429623 \n",
       "L 380.046021 514.313503 \n",
       "L 379.682432 513.218429 \n",
       "L 379.249427 512.1489 \n",
       "L 378.748788 511.109311 \n",
       "L 378.18257 510.103934 \n",
       "L 377.553101 509.1369 \n",
       "L 376.862967 508.212184 \n",
       "L 376.115004 507.333584 \n",
       "L 375.312286 506.504712 \n",
       "L 374.458111 505.728973 \n",
       "L 373.55599 505.009555 \n",
       "L 372.609628 504.349414 \n",
       "L 371.622916 503.751263 \n",
       "L 370.599907 503.21756 \n",
       "L 369.544806 502.750498 \n",
       "L 368.461948 502.351997 \n",
       "L 367.355783 502.023692 \n",
       "L 366.230855 501.766935 \n",
       "L 365.091789 501.58278 \n",
       "L 363.943264 501.471983 \n",
       "L 362.79 501.435 \n",
       "L 362.79 501.435 \n",
       "L 339.39 501.435 \n",
       "L 339.39 519.435 \n",
       "L 339.39 537.435 \n",
       "L 362.79 537.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <path d=\"M 326.79 528.435 \n",
       "L 339.39 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path d=\"M 326.79 510.435 \n",
       "L 339.39 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path d=\"M 389.43 519.435 \n",
       "L 393.39 519.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path d=\"M 321.39 555.435 \n",
       "L 326.79 510.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path d=\"M 321.39 519.435 \n",
       "L 326.79 528.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path d=\"M 326.79 483.435 \n",
       "M 358.83 483.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <path d=\"M 326.79 465.435 \n",
       "L 350.19 483.435 \n",
       "L 326.79 501.435 \n",
       "L 326.79 465.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <path d=\"M 321.39 555.435 \n",
       "L 326.79 483.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <path d=\"M 434.79 501.435 \n",
       "L 435.943264 501.398017 \n",
       "L 437.091789 501.28722 \n",
       "L 438.230855 501.103065 \n",
       "L 439.355783 500.846308 \n",
       "L 440.461948 500.518003 \n",
       "L 441.544806 500.119502 \n",
       "L 442.599907 499.65244 \n",
       "L 443.622916 499.118737 \n",
       "L 444.609628 498.520586 \n",
       "L 445.55599 497.860445 \n",
       "L 446.458111 497.141027 \n",
       "L 447.312286 496.365288 \n",
       "L 448.115004 495.536416 \n",
       "L 448.862967 494.657816 \n",
       "L 449.553101 493.7331 \n",
       "L 450.18257 492.766066 \n",
       "L 450.748788 491.760689 \n",
       "L 451.249427 490.7211 \n",
       "L 451.682432 489.651571 \n",
       "L 452.046021 488.556497 \n",
       "L 452.338702 487.440377 \n",
       "L 452.559272 486.307798 \n",
       "L 452.706824 485.163414 \n",
       "L 452.780752 484.011928 \n",
       "L 452.780752 482.858072 \n",
       "L 452.706824 481.706586 \n",
       "L 452.559272 480.562202 \n",
       "L 452.338702 479.429623 \n",
       "L 452.046021 478.313503 \n",
       "L 451.682432 477.218429 \n",
       "L 451.249427 476.1489 \n",
       "L 450.748788 475.109311 \n",
       "L 450.18257 474.103934 \n",
       "L 449.553101 473.1369 \n",
       "L 448.862967 472.212184 \n",
       "L 448.115004 471.333584 \n",
       "L 447.312286 470.504712 \n",
       "L 446.458111 469.728973 \n",
       "L 445.55599 469.009555 \n",
       "L 444.609628 468.349414 \n",
       "L 443.622916 467.751263 \n",
       "L 442.599907 467.21756 \n",
       "L 441.544806 466.750498 \n",
       "L 440.461948 466.351997 \n",
       "L 439.355783 466.023692 \n",
       "L 438.230855 465.766935 \n",
       "L 437.091789 465.58278 \n",
       "L 435.943264 465.471983 \n",
       "L 434.79 465.435 \n",
       "L 434.79 465.435 \n",
       "L 411.39 465.435 \n",
       "L 411.39 483.435 \n",
       "L 411.39 501.435 \n",
       "L 434.79 501.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <path d=\"M 398.79 492.435 \n",
       "L 411.39 492.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <path d=\"M 398.79 474.435 \n",
       "L 411.39 474.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <path d=\"M 461.43 483.435 \n",
       "L 465.39 483.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_56\">\n",
       "    <path d=\"M 358.83 483.435 \n",
       "L 398.79 474.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <path d=\"M 249.39 519.435 \n",
       "L 398.79 492.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path d=\"M 506.79 501.435 \n",
       "L 507.943264 501.398017 \n",
       "L 509.091789 501.28722 \n",
       "L 510.230855 501.103065 \n",
       "L 511.355783 500.846308 \n",
       "L 512.461948 500.518003 \n",
       "L 513.544806 500.119502 \n",
       "L 514.599907 499.65244 \n",
       "L 515.622916 499.118737 \n",
       "L 516.609628 498.520586 \n",
       "L 517.55599 497.860445 \n",
       "L 518.458111 497.141027 \n",
       "L 519.312286 496.365288 \n",
       "L 520.115004 495.536416 \n",
       "L 520.862967 494.657816 \n",
       "L 521.553101 493.7331 \n",
       "L 522.18257 492.766066 \n",
       "L 522.748788 491.760689 \n",
       "L 523.249427 490.7211 \n",
       "L 523.682432 489.651571 \n",
       "L 524.046021 488.556497 \n",
       "L 524.338702 487.440377 \n",
       "L 524.559272 486.307798 \n",
       "L 524.706824 485.163414 \n",
       "L 524.780752 484.011928 \n",
       "L 524.780752 482.858072 \n",
       "L 524.706824 481.706586 \n",
       "L 524.559272 480.562202 \n",
       "L 524.338702 479.429623 \n",
       "L 524.046021 478.313503 \n",
       "L 523.682432 477.218429 \n",
       "L 523.249427 476.1489 \n",
       "L 522.748788 475.109311 \n",
       "L 522.18257 474.103934 \n",
       "L 521.553101 473.1369 \n",
       "L 520.862967 472.212184 \n",
       "L 520.115004 471.333584 \n",
       "L 519.312286 470.504712 \n",
       "L 518.458111 469.728973 \n",
       "L 517.55599 469.009555 \n",
       "L 516.609628 468.349414 \n",
       "L 515.622916 467.751263 \n",
       "L 514.599907 467.21756 \n",
       "L 513.544806 466.750498 \n",
       "L 512.461948 466.351997 \n",
       "L 511.355783 466.023692 \n",
       "L 510.230855 465.766935 \n",
       "L 509.091789 465.58278 \n",
       "L 507.943264 465.471983 \n",
       "L 506.79 465.435 \n",
       "L 506.79 465.435 \n",
       "L 483.39 465.435 \n",
       "L 483.39 483.435 \n",
       "L 483.39 501.435 \n",
       "L 506.79 501.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <path d=\"M 470.79 492.435 \n",
       "L 483.39 492.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path d=\"M 470.79 474.435 \n",
       "L 483.39 474.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_61\">\n",
       "    <path d=\"M 533.43 483.435 \n",
       "L 537.39 483.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_62\">\n",
       "    <path d=\"M 393.39 519.435 \n",
       "L 470.79 474.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_63\">\n",
       "    <path d=\"M 465.39 483.435 \n",
       "L 470.79 492.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <path d=\"M 146.79 393.435 \n",
       "L 147.943264 393.398017 \n",
       "L 149.091789 393.28722 \n",
       "L 150.230855 393.103065 \n",
       "L 151.355783 392.846308 \n",
       "L 152.461948 392.518003 \n",
       "L 153.544806 392.119502 \n",
       "L 154.599907 391.65244 \n",
       "L 155.622916 391.118737 \n",
       "L 156.609628 390.520586 \n",
       "L 157.55599 389.860445 \n",
       "L 158.458111 389.141027 \n",
       "L 159.312286 388.365288 \n",
       "L 160.115004 387.536416 \n",
       "L 160.862967 386.657816 \n",
       "L 161.553101 385.7331 \n",
       "L 162.18257 384.766066 \n",
       "L 162.748788 383.760689 \n",
       "L 163.249427 382.7211 \n",
       "L 163.682432 381.651571 \n",
       "L 164.046021 380.556497 \n",
       "L 164.338702 379.440377 \n",
       "L 164.559272 378.307798 \n",
       "L 164.706824 377.163414 \n",
       "L 164.780752 376.011928 \n",
       "L 164.780752 374.858072 \n",
       "L 164.706824 373.706586 \n",
       "L 164.559272 372.562202 \n",
       "L 164.338702 371.429623 \n",
       "L 164.046021 370.313503 \n",
       "L 163.682432 369.218429 \n",
       "L 163.249427 368.1489 \n",
       "L 162.748788 367.109311 \n",
       "L 162.18257 366.103934 \n",
       "L 161.553101 365.1369 \n",
       "L 160.862967 364.212184 \n",
       "L 160.115004 363.333584 \n",
       "L 159.312286 362.504712 \n",
       "L 158.458111 361.728973 \n",
       "L 157.55599 361.009555 \n",
       "L 156.609628 360.349414 \n",
       "L 155.622916 359.751263 \n",
       "L 154.599907 359.21756 \n",
       "L 153.544806 358.750498 \n",
       "L 152.461948 358.351997 \n",
       "L 151.355783 358.023692 \n",
       "L 150.230855 357.766935 \n",
       "L 149.091789 357.58278 \n",
       "L 147.943264 357.471983 \n",
       "L 146.79 357.435 \n",
       "L 146.79 357.435 \n",
       "L 123.39 357.435 \n",
       "L 123.39 375.435 \n",
       "L 123.39 393.435 \n",
       "L 146.79 393.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path d=\"M 110.79 384.435 \n",
       "L 123.39 384.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <path d=\"M 110.79 366.435 \n",
       "L 123.39 366.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <path d=\"M 173.43 375.435 \n",
       "L 177.39 375.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <path d=\"M 38.79 375.435 \n",
       "L 110.79 366.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <path d=\"M 38.79 375.435 \n",
       "L 110.79 384.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path d=\"M 218.79 393.435 \n",
       "L 219.943264 393.398017 \n",
       "L 221.091789 393.28722 \n",
       "L 222.230855 393.103065 \n",
       "L 223.355783 392.846308 \n",
       "L 224.461948 392.518003 \n",
       "L 225.544806 392.119502 \n",
       "L 226.599907 391.65244 \n",
       "L 227.622916 391.118737 \n",
       "L 228.609628 390.520586 \n",
       "L 229.55599 389.860445 \n",
       "L 230.458111 389.141027 \n",
       "L 231.312286 388.365288 \n",
       "L 232.115004 387.536416 \n",
       "L 232.862967 386.657816 \n",
       "L 233.553101 385.7331 \n",
       "L 234.18257 384.766066 \n",
       "L 234.748788 383.760689 \n",
       "L 235.249427 382.7211 \n",
       "L 235.682432 381.651571 \n",
       "L 236.046021 380.556497 \n",
       "L 236.338702 379.440377 \n",
       "L 236.559272 378.307798 \n",
       "L 236.706824 377.163414 \n",
       "L 236.780752 376.011928 \n",
       "L 236.780752 374.858072 \n",
       "L 236.706824 373.706586 \n",
       "L 236.559272 372.562202 \n",
       "L 236.338702 371.429623 \n",
       "L 236.046021 370.313503 \n",
       "L 235.682432 369.218429 \n",
       "L 235.249427 368.1489 \n",
       "L 234.748788 367.109311 \n",
       "L 234.18257 366.103934 \n",
       "L 233.553101 365.1369 \n",
       "L 232.862967 364.212184 \n",
       "L 232.115004 363.333584 \n",
       "L 231.312286 362.504712 \n",
       "L 230.458111 361.728973 \n",
       "L 229.55599 361.009555 \n",
       "L 228.609628 360.349414 \n",
       "L 227.622916 359.751263 \n",
       "L 226.599907 359.21756 \n",
       "L 225.544806 358.750498 \n",
       "L 224.461948 358.351997 \n",
       "L 223.355783 358.023692 \n",
       "L 222.230855 357.766935 \n",
       "L 221.091789 357.58278 \n",
       "L 219.943264 357.471983 \n",
       "L 218.79 357.435 \n",
       "L 218.79 357.435 \n",
       "L 195.39 357.435 \n",
       "L 195.39 375.435 \n",
       "L 195.39 393.435 \n",
       "L 218.79 393.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path d=\"M 182.79 384.435 \n",
       "L 195.39 384.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <path d=\"M 182.79 366.435 \n",
       "L 195.39 366.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_73\">\n",
       "    <path d=\"M 245.43 375.435 \n",
       "L 249.39 375.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_74\">\n",
       "    <path d=\"M 38.79 411.435 \n",
       "L 182.79 366.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_75\">\n",
       "    <path d=\"M 177.39 375.435 \n",
       "L 182.79 384.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_76\">\n",
       "    <path d=\"M 110.79 339.435 \n",
       "M 142.83 339.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_77\">\n",
       "    <path d=\"M 110.79 321.435 \n",
       "L 134.19 339.435 \n",
       "L 110.79 357.435 \n",
       "L 110.79 321.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_78\">\n",
       "    <path d=\"M 38.79 411.435 \n",
       "L 110.79 339.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_79\">\n",
       "    <path d=\"M 218.79 357.435 \n",
       "L 219.943264 357.398017 \n",
       "L 221.091789 357.28722 \n",
       "L 222.230855 357.103065 \n",
       "L 223.355783 356.846308 \n",
       "L 224.461948 356.518003 \n",
       "L 225.544806 356.119502 \n",
       "L 226.599907 355.65244 \n",
       "L 227.622916 355.118737 \n",
       "L 228.609628 354.520586 \n",
       "L 229.55599 353.860445 \n",
       "L 230.458111 353.141027 \n",
       "L 231.312286 352.365288 \n",
       "L 232.115004 351.536416 \n",
       "L 232.862967 350.657816 \n",
       "L 233.553101 349.7331 \n",
       "L 234.18257 348.766066 \n",
       "L 234.748788 347.760689 \n",
       "L 235.249427 346.7211 \n",
       "L 235.682432 345.651571 \n",
       "L 236.046021 344.556497 \n",
       "L 236.338702 343.440377 \n",
       "L 236.559272 342.307798 \n",
       "L 236.706824 341.163414 \n",
       "L 236.780752 340.011928 \n",
       "L 236.780752 338.858072 \n",
       "L 236.706824 337.706586 \n",
       "L 236.559272 336.562202 \n",
       "L 236.338702 335.429623 \n",
       "L 236.046021 334.313503 \n",
       "L 235.682432 333.218429 \n",
       "L 235.249427 332.1489 \n",
       "L 234.748788 331.109311 \n",
       "L 234.18257 330.103934 \n",
       "L 233.553101 329.1369 \n",
       "L 232.862967 328.212184 \n",
       "L 232.115004 327.333584 \n",
       "L 231.312286 326.504712 \n",
       "L 230.458111 325.728973 \n",
       "L 229.55599 325.009555 \n",
       "L 228.609628 324.349414 \n",
       "L 227.622916 323.751263 \n",
       "L 226.599907 323.21756 \n",
       "L 225.544806 322.750498 \n",
       "L 224.461948 322.351997 \n",
       "L 223.355783 322.023692 \n",
       "L 222.230855 321.766935 \n",
       "L 221.091789 321.58278 \n",
       "L 219.943264 321.471983 \n",
       "L 218.79 321.435 \n",
       "L 218.79 321.435 \n",
       "L 195.39 321.435 \n",
       "L 195.39 339.435 \n",
       "L 195.39 357.435 \n",
       "L 218.79 357.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_80\">\n",
       "    <path d=\"M 182.79 348.435 \n",
       "L 195.39 348.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_81\">\n",
       "    <path d=\"M 182.79 330.435 \n",
       "L 195.39 330.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_82\">\n",
       "    <path d=\"M 245.43 339.435 \n",
       "L 249.39 339.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_83\">\n",
       "    <path d=\"M 142.83 339.435 \n",
       "L 182.79 330.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_84\">\n",
       "    <path d=\"M 38.79 375.435 \n",
       "L 182.79 348.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_85\">\n",
       "    <path d=\"M 290.79 357.435 \n",
       "L 291.943264 357.398017 \n",
       "L 293.091789 357.28722 \n",
       "L 294.230855 357.103065 \n",
       "L 295.355783 356.846308 \n",
       "L 296.461948 356.518003 \n",
       "L 297.544806 356.119502 \n",
       "L 298.599907 355.65244 \n",
       "L 299.622916 355.118737 \n",
       "L 300.609628 354.520586 \n",
       "L 301.55599 353.860445 \n",
       "L 302.458111 353.141027 \n",
       "L 303.312286 352.365288 \n",
       "L 304.115004 351.536416 \n",
       "L 304.862967 350.657816 \n",
       "L 305.553101 349.7331 \n",
       "L 306.18257 348.766066 \n",
       "L 306.748788 347.760689 \n",
       "L 307.249427 346.7211 \n",
       "L 307.682432 345.651571 \n",
       "L 308.046021 344.556497 \n",
       "L 308.338702 343.440377 \n",
       "L 308.559272 342.307798 \n",
       "L 308.706824 341.163414 \n",
       "L 308.780752 340.011928 \n",
       "L 308.780752 338.858072 \n",
       "L 308.706824 337.706586 \n",
       "L 308.559272 336.562202 \n",
       "L 308.338702 335.429623 \n",
       "L 308.046021 334.313503 \n",
       "L 307.682432 333.218429 \n",
       "L 307.249427 332.1489 \n",
       "L 306.748788 331.109311 \n",
       "L 306.18257 330.103934 \n",
       "L 305.553101 329.1369 \n",
       "L 304.862967 328.212184 \n",
       "L 304.115004 327.333584 \n",
       "L 303.312286 326.504712 \n",
       "L 302.458111 325.728973 \n",
       "L 301.55599 325.009555 \n",
       "L 300.609628 324.349414 \n",
       "L 299.622916 323.751263 \n",
       "L 298.599907 323.21756 \n",
       "L 297.544806 322.750498 \n",
       "L 296.461948 322.351997 \n",
       "L 295.355783 322.023692 \n",
       "L 294.230855 321.766935 \n",
       "L 293.091789 321.58278 \n",
       "L 291.943264 321.471983 \n",
       "L 290.79 321.435 \n",
       "L 290.79 321.435 \n",
       "L 267.39 321.435 \n",
       "L 267.39 339.435 \n",
       "L 267.39 357.435 \n",
       "L 290.79 357.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_86\">\n",
       "    <path d=\"M 254.79 348.435 \n",
       "L 267.39 348.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_87\">\n",
       "    <path d=\"M 254.79 330.435 \n",
       "L 267.39 330.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_88\">\n",
       "    <path d=\"M 317.43 339.435 \n",
       "L 321.39 339.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_89\">\n",
       "    <path d=\"M 249.39 375.435 \n",
       "L 254.79 330.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_90\">\n",
       "    <path d=\"M 249.39 339.435 \n",
       "L 254.79 348.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_91\">\n",
       "    <path d=\"M 290.79 321.435 \n",
       "L 291.943264 321.398017 \n",
       "L 293.091789 321.28722 \n",
       "L 294.230855 321.103065 \n",
       "L 295.355783 320.846308 \n",
       "L 296.461948 320.518003 \n",
       "L 297.544806 320.119502 \n",
       "L 298.599907 319.65244 \n",
       "L 299.622916 319.118737 \n",
       "L 300.609628 318.520586 \n",
       "L 301.55599 317.860445 \n",
       "L 302.458111 317.141027 \n",
       "L 303.312286 316.365288 \n",
       "L 304.115004 315.536416 \n",
       "L 304.862967 314.657816 \n",
       "L 305.553101 313.7331 \n",
       "L 306.18257 312.766066 \n",
       "L 306.748788 311.760689 \n",
       "L 307.249427 310.7211 \n",
       "L 307.682432 309.651571 \n",
       "L 308.046021 308.556497 \n",
       "L 308.338702 307.440377 \n",
       "L 308.559272 306.307798 \n",
       "L 308.706824 305.163414 \n",
       "L 308.780752 304.011928 \n",
       "L 308.780752 302.858072 \n",
       "L 308.706824 301.706586 \n",
       "L 308.559272 300.562202 \n",
       "L 308.338702 299.429623 \n",
       "L 308.046021 298.313503 \n",
       "L 307.682432 297.218429 \n",
       "L 307.249427 296.1489 \n",
       "L 306.748788 295.109311 \n",
       "L 306.18257 294.103934 \n",
       "L 305.553101 293.1369 \n",
       "L 304.862967 292.212184 \n",
       "L 304.115004 291.333584 \n",
       "L 303.312286 290.504712 \n",
       "L 302.458111 289.728973 \n",
       "L 301.55599 289.009555 \n",
       "L 300.609628 288.349414 \n",
       "L 299.622916 287.751263 \n",
       "L 298.599907 287.21756 \n",
       "L 297.544806 286.750498 \n",
       "L 296.461948 286.351997 \n",
       "L 295.355783 286.023692 \n",
       "L 294.230855 285.766935 \n",
       "L 293.091789 285.58278 \n",
       "L 291.943264 285.471983 \n",
       "L 290.79 285.435 \n",
       "L 290.79 285.435 \n",
       "L 267.39 285.435 \n",
       "L 267.39 303.435 \n",
       "L 267.39 321.435 \n",
       "L 290.79 321.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_92\">\n",
       "    <path d=\"M 254.79 312.435 \n",
       "L 267.39 312.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_93\">\n",
       "    <path d=\"M 254.79 294.435 \n",
       "L 267.39 294.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_94\">\n",
       "    <path d=\"M 308.79 303.435 \n",
       "L 321.39 303.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_95\">\n",
       "    <path d=\"M 249.39 519.435 \n",
       "L 254.79 294.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_96\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 254.79 312.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_97\">\n",
       "    <path d=\"M 290.79 285.435 \n",
       "L 291.943264 285.398017 \n",
       "L 293.091789 285.28722 \n",
       "L 294.230855 285.103065 \n",
       "L 295.355783 284.846308 \n",
       "L 296.461948 284.518003 \n",
       "L 297.544806 284.119502 \n",
       "L 298.599907 283.65244 \n",
       "L 299.622916 283.118737 \n",
       "L 300.609628 282.520586 \n",
       "L 301.55599 281.860445 \n",
       "L 302.458111 281.141027 \n",
       "L 303.312286 280.365288 \n",
       "L 304.115004 279.536416 \n",
       "L 304.862967 278.657816 \n",
       "L 305.553101 277.7331 \n",
       "L 306.18257 276.766066 \n",
       "L 306.748788 275.760689 \n",
       "L 307.249427 274.7211 \n",
       "L 307.682432 273.651571 \n",
       "L 308.046021 272.556497 \n",
       "L 308.338702 271.440377 \n",
       "L 308.559272 270.307798 \n",
       "L 308.706824 269.163414 \n",
       "L 308.780752 268.011928 \n",
       "L 308.780752 266.858072 \n",
       "L 308.706824 265.706586 \n",
       "L 308.559272 264.562202 \n",
       "L 308.338702 263.429623 \n",
       "L 308.046021 262.313503 \n",
       "L 307.682432 261.218429 \n",
       "L 307.249427 260.1489 \n",
       "L 306.748788 259.109311 \n",
       "L 306.18257 258.103934 \n",
       "L 305.553101 257.1369 \n",
       "L 304.862967 256.212184 \n",
       "L 304.115004 255.333584 \n",
       "L 303.312286 254.504712 \n",
       "L 302.458111 253.728973 \n",
       "L 301.55599 253.009555 \n",
       "L 300.609628 252.349414 \n",
       "L 299.622916 251.751263 \n",
       "L 298.599907 251.21756 \n",
       "L 297.544806 250.750498 \n",
       "L 296.461948 250.351997 \n",
       "L 295.355783 250.023692 \n",
       "L 294.230855 249.766935 \n",
       "L 293.091789 249.58278 \n",
       "L 291.943264 249.471983 \n",
       "L 290.79 249.435 \n",
       "L 290.79 249.435 \n",
       "L 267.39 249.435 \n",
       "L 267.39 267.435 \n",
       "L 267.39 285.435 \n",
       "L 290.79 285.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_98\">\n",
       "    <path d=\"M 254.79 276.435 \n",
       "L 267.39 276.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_99\">\n",
       "    <path d=\"M 254.79 258.435 \n",
       "L 267.39 258.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_100\">\n",
       "    <path d=\"M 308.79 267.435 \n",
       "L 321.39 267.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_101\">\n",
       "    <path d=\"M 249.39 519.435 \n",
       "L 254.79 258.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_102\">\n",
       "    <path d=\"M 38.79 627.435 \n",
       "L 254.79 276.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_103\">\n",
       "    <path d=\"M 339.39 285.075 \n",
       "L 358.932857 285.008878 \n",
       "L 360.99 284.715 \n",
       "L 363.047143 284.18602 \n",
       "L 365.104286 283.421939 \n",
       "L 367.161429 282.422755 \n",
       "L 369.218571 281.188469 \n",
       "L 371.275714 279.719082 \n",
       "L 373.332857 278.014592 \n",
       "L 375.904286 275.553367 \n",
       "L 378.475714 272.724796 \n",
       "L 381.047143 269.528878 \n",
       "L 382.59 267.435 \n",
       "L 382.59 267.435 \n",
       "L 380.018571 264.018673 \n",
       "L 377.447143 260.969694 \n",
       "L 374.875714 258.288061 \n",
       "L 372.304286 255.973776 \n",
       "L 370.247143 254.386837 \n",
       "L 368.19 253.035 \n",
       "L 366.132857 251.918265 \n",
       "L 364.075714 251.036633 \n",
       "L 362.018571 250.390102 \n",
       "L 359.961429 249.978673 \n",
       "L 357.904286 249.802347 \n",
       "L 357.39 249.795 \n",
       "L 339.39 249.795 \n",
       "L 339.39 249.795 \n",
       "L 341.3772 251.955 \n",
       "L 343.1052 254.115 \n",
       "L 344.574 256.275 \n",
       "L 345.7836 258.435 \n",
       "L 346.734 260.595 \n",
       "L 347.4252 262.755 \n",
       "L 347.8572 264.915 \n",
       "L 348.03 267.075 \n",
       "L 347.9436 269.235 \n",
       "L 347.598 271.395 \n",
       "L 346.9932 273.555 \n",
       "L 346.1292 275.715 \n",
       "L 345.006 277.875 \n",
       "L 343.6236 280.035 \n",
       "L 341.982 282.195 \n",
       "L 340.0812 284.355 \n",
       "L 339.39 285.075 \n",
       "L 339.39 285.075 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_104\">\n",
       "    <path d=\"M 326.79 276.435 \n",
       "L 345.7836 276.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_105\">\n",
       "    <path d=\"M 326.79 258.435 \n",
       "L 345.7836 258.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_106\">\n",
       "    <path d=\"M 382.59 267.435 \n",
       "L 395.19 267.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_107\">\n",
       "    <path d=\"M 321.39 303.435 \n",
       "L 326.79 258.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_108\">\n",
       "    <path d=\"M 321.39 267.435 \n",
       "L 326.79 276.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_109\">\n",
       "    <path d=\"M 146.79 249.435 \n",
       "L 147.943264 249.398017 \n",
       "L 149.091789 249.28722 \n",
       "L 150.230855 249.103065 \n",
       "L 151.355783 248.846308 \n",
       "L 152.461948 248.518003 \n",
       "L 153.544806 248.119502 \n",
       "L 154.599907 247.65244 \n",
       "L 155.622916 247.118737 \n",
       "L 156.609628 246.520586 \n",
       "L 157.55599 245.860445 \n",
       "L 158.458111 245.141027 \n",
       "L 159.312286 244.365288 \n",
       "L 160.115004 243.536416 \n",
       "L 160.862967 242.657816 \n",
       "L 161.553101 241.7331 \n",
       "L 162.18257 240.766066 \n",
       "L 162.748788 239.760689 \n",
       "L 163.249427 238.7211 \n",
       "L 163.682432 237.651571 \n",
       "L 164.046021 236.556497 \n",
       "L 164.338702 235.440377 \n",
       "L 164.559272 234.307798 \n",
       "L 164.706824 233.163414 \n",
       "L 164.780752 232.011928 \n",
       "L 164.780752 230.858072 \n",
       "L 164.706824 229.706586 \n",
       "L 164.559272 228.562202 \n",
       "L 164.338702 227.429623 \n",
       "L 164.046021 226.313503 \n",
       "L 163.682432 225.218429 \n",
       "L 163.249427 224.1489 \n",
       "L 162.748788 223.109311 \n",
       "L 162.18257 222.103934 \n",
       "L 161.553101 221.1369 \n",
       "L 160.862967 220.212184 \n",
       "L 160.115004 219.333584 \n",
       "L 159.312286 218.504712 \n",
       "L 158.458111 217.728973 \n",
       "L 157.55599 217.009555 \n",
       "L 156.609628 216.349414 \n",
       "L 155.622916 215.751263 \n",
       "L 154.599907 215.21756 \n",
       "L 153.544806 214.750498 \n",
       "L 152.461948 214.351997 \n",
       "L 151.355783 214.023692 \n",
       "L 150.230855 213.766935 \n",
       "L 149.091789 213.58278 \n",
       "L 147.943264 213.471983 \n",
       "L 146.79 213.435 \n",
       "L 146.79 213.435 \n",
       "L 123.39 213.435 \n",
       "L 123.39 231.435 \n",
       "L 123.39 249.435 \n",
       "L 146.79 249.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_110\">\n",
       "    <path d=\"M 110.79 240.435 \n",
       "L 123.39 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_111\">\n",
       "    <path d=\"M 110.79 222.435 \n",
       "L 123.39 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_112\">\n",
       "    <path d=\"M 164.79 231.435 \n",
       "L 177.39 231.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_113\">\n",
       "    <path d=\"M 38.79 591.435 \n",
       "L 110.79 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_114\">\n",
       "    <path d=\"M 38.79 627.435 \n",
       "L 110.79 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_115\">\n",
       "    <path d=\"M 411.39 249.075 \n",
       "L 430.932857 249.008878 \n",
       "L 432.99 248.715 \n",
       "L 435.047143 248.18602 \n",
       "L 437.104286 247.421939 \n",
       "L 439.161429 246.422755 \n",
       "L 441.218571 245.188469 \n",
       "L 443.275714 243.719082 \n",
       "L 445.332857 242.014592 \n",
       "L 447.904286 239.553367 \n",
       "L 450.475714 236.724796 \n",
       "L 453.047143 233.528878 \n",
       "L 454.59 231.435 \n",
       "L 454.59 231.435 \n",
       "L 452.018571 228.018673 \n",
       "L 449.447143 224.969694 \n",
       "L 446.875714 222.288061 \n",
       "L 444.304286 219.973776 \n",
       "L 442.247143 218.386837 \n",
       "L 440.19 217.035 \n",
       "L 438.132857 215.918265 \n",
       "L 436.075714 215.036633 \n",
       "L 434.018571 214.390102 \n",
       "L 431.961429 213.978673 \n",
       "L 429.904286 213.802347 \n",
       "L 429.39 213.795 \n",
       "L 411.39 213.795 \n",
       "L 411.39 213.795 \n",
       "L 413.3772 215.955 \n",
       "L 415.1052 218.115 \n",
       "L 416.574 220.275 \n",
       "L 417.7836 222.435 \n",
       "L 418.734 224.595 \n",
       "L 419.4252 226.755 \n",
       "L 419.8572 228.915 \n",
       "L 420.03 231.075 \n",
       "L 419.9436 233.235 \n",
       "L 419.598 235.395 \n",
       "L 418.9932 237.555 \n",
       "L 418.1292 239.715 \n",
       "L 417.006 241.875 \n",
       "L 415.6236 244.035 \n",
       "L 413.982 246.195 \n",
       "L 412.0812 248.355 \n",
       "L 411.39 249.075 \n",
       "L 411.39 249.075 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_116\">\n",
       "    <path d=\"M 398.79 240.435 \n",
       "L 417.7836 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_117\">\n",
       "    <path d=\"M 398.79 222.435 \n",
       "L 417.7836 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_118\">\n",
       "    <path d=\"M 454.59 231.435 \n",
       "L 467.19 231.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_119\">\n",
       "    <path d=\"M 395.19 267.435 \n",
       "L 398.79 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_120\">\n",
       "    <path d=\"M 177.39 231.435 \n",
       "L 398.79 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_121\">\n",
       "    <path d=\"M 506.79 249.435 \n",
       "L 507.943264 249.398017 \n",
       "L 509.091789 249.28722 \n",
       "L 510.230855 249.103065 \n",
       "L 511.355783 248.846308 \n",
       "L 512.461948 248.518003 \n",
       "L 513.544806 248.119502 \n",
       "L 514.599907 247.65244 \n",
       "L 515.622916 247.118737 \n",
       "L 516.609628 246.520586 \n",
       "L 517.55599 245.860445 \n",
       "L 518.458111 245.141027 \n",
       "L 519.312286 244.365288 \n",
       "L 520.115004 243.536416 \n",
       "L 520.862967 242.657816 \n",
       "L 521.553101 241.7331 \n",
       "L 522.18257 240.766066 \n",
       "L 522.748788 239.760689 \n",
       "L 523.249427 238.7211 \n",
       "L 523.682432 237.651571 \n",
       "L 524.046021 236.556497 \n",
       "L 524.338702 235.440377 \n",
       "L 524.559272 234.307798 \n",
       "L 524.706824 233.163414 \n",
       "L 524.780752 232.011928 \n",
       "L 524.780752 230.858072 \n",
       "L 524.706824 229.706586 \n",
       "L 524.559272 228.562202 \n",
       "L 524.338702 227.429623 \n",
       "L 524.046021 226.313503 \n",
       "L 523.682432 225.218429 \n",
       "L 523.249427 224.1489 \n",
       "L 522.748788 223.109311 \n",
       "L 522.18257 222.103934 \n",
       "L 521.553101 221.1369 \n",
       "L 520.862967 220.212184 \n",
       "L 520.115004 219.333584 \n",
       "L 519.312286 218.504712 \n",
       "L 518.458111 217.728973 \n",
       "L 517.55599 217.009555 \n",
       "L 516.609628 216.349414 \n",
       "L 515.622916 215.751263 \n",
       "L 514.599907 215.21756 \n",
       "L 513.544806 214.750498 \n",
       "L 512.461948 214.351997 \n",
       "L 511.355783 214.023692 \n",
       "L 510.230855 213.766935 \n",
       "L 509.091789 213.58278 \n",
       "L 507.943264 213.471983 \n",
       "L 506.79 213.435 \n",
       "L 506.79 213.435 \n",
       "L 483.39 213.435 \n",
       "L 483.39 231.435 \n",
       "L 483.39 249.435 \n",
       "L 506.79 249.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_122\">\n",
       "    <path d=\"M 470.79 240.435 \n",
       "L 483.39 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_123\">\n",
       "    <path d=\"M 470.79 222.435 \n",
       "L 483.39 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_124\">\n",
       "    <path d=\"M 533.43 231.435 \n",
       "L 537.39 231.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_125\">\n",
       "    <path d=\"M 467.19 231.435 \n",
       "L 470.79 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_126\">\n",
       "    <path d=\"M 467.19 231.435 \n",
       "L 470.79 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_127\">\n",
       "    <path d=\"M 578.79 249.435 \n",
       "L 579.943264 249.398017 \n",
       "L 581.091789 249.28722 \n",
       "L 582.230855 249.103065 \n",
       "L 583.355783 248.846308 \n",
       "L 584.461948 248.518003 \n",
       "L 585.544806 248.119502 \n",
       "L 586.599907 247.65244 \n",
       "L 587.622916 247.118737 \n",
       "L 588.609628 246.520586 \n",
       "L 589.55599 245.860445 \n",
       "L 590.458111 245.141027 \n",
       "L 591.312286 244.365288 \n",
       "L 592.115004 243.536416 \n",
       "L 592.862967 242.657816 \n",
       "L 593.553101 241.7331 \n",
       "L 594.18257 240.766066 \n",
       "L 594.748788 239.760689 \n",
       "L 595.249427 238.7211 \n",
       "L 595.682432 237.651571 \n",
       "L 596.046021 236.556497 \n",
       "L 596.338702 235.440377 \n",
       "L 596.559272 234.307798 \n",
       "L 596.706824 233.163414 \n",
       "L 596.780752 232.011928 \n",
       "L 596.780752 230.858072 \n",
       "L 596.706824 229.706586 \n",
       "L 596.559272 228.562202 \n",
       "L 596.338702 227.429623 \n",
       "L 596.046021 226.313503 \n",
       "L 595.682432 225.218429 \n",
       "L 595.249427 224.1489 \n",
       "L 594.748788 223.109311 \n",
       "L 594.18257 222.103934 \n",
       "L 593.553101 221.1369 \n",
       "L 592.862967 220.212184 \n",
       "L 592.115004 219.333584 \n",
       "L 591.312286 218.504712 \n",
       "L 590.458111 217.728973 \n",
       "L 589.55599 217.009555 \n",
       "L 588.609628 216.349414 \n",
       "L 587.622916 215.751263 \n",
       "L 586.599907 215.21756 \n",
       "L 585.544806 214.750498 \n",
       "L 584.461948 214.351997 \n",
       "L 583.355783 214.023692 \n",
       "L 582.230855 213.766935 \n",
       "L 581.091789 213.58278 \n",
       "L 579.943264 213.471983 \n",
       "L 578.79 213.435 \n",
       "L 578.79 213.435 \n",
       "L 555.39 213.435 \n",
       "L 555.39 231.435 \n",
       "L 555.39 249.435 \n",
       "L 578.79 249.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_128\">\n",
       "    <path d=\"M 542.79 240.435 \n",
       "L 555.39 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_129\">\n",
       "    <path d=\"M 542.79 222.435 \n",
       "L 555.39 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_130\">\n",
       "    <path d=\"M 605.43 231.435 \n",
       "L 609.39 231.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_131\">\n",
       "    <path d=\"M 321.39 339.435 \n",
       "L 542.79 222.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_132\">\n",
       "    <path d=\"M 537.39 231.435 \n",
       "L 542.79 240.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_133\">\n",
       "    <path d=\"M 326.79 195.435 \n",
       "M 358.83 195.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_134\">\n",
       "    <path d=\"M 326.79 177.435 \n",
       "L 350.19 195.435 \n",
       "L 326.79 213.435 \n",
       "L 326.79 177.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_135\">\n",
       "    <path d=\"M 321.39 339.435 \n",
       "L 326.79 195.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_136\">\n",
       "    <path d=\"M 506.79 213.435 \n",
       "L 507.943264 213.398017 \n",
       "L 509.091789 213.28722 \n",
       "L 510.230855 213.103065 \n",
       "L 511.355783 212.846308 \n",
       "L 512.461948 212.518003 \n",
       "L 513.544806 212.119502 \n",
       "L 514.599907 211.65244 \n",
       "L 515.622916 211.118737 \n",
       "L 516.609628 210.520586 \n",
       "L 517.55599 209.860445 \n",
       "L 518.458111 209.141027 \n",
       "L 519.312286 208.365288 \n",
       "L 520.115004 207.536416 \n",
       "L 520.862967 206.657816 \n",
       "L 521.553101 205.7331 \n",
       "L 522.18257 204.766066 \n",
       "L 522.748788 203.760689 \n",
       "L 523.249427 202.7211 \n",
       "L 523.682432 201.651571 \n",
       "L 524.046021 200.556497 \n",
       "L 524.338702 199.440377 \n",
       "L 524.559272 198.307798 \n",
       "L 524.706824 197.163414 \n",
       "L 524.780752 196.011928 \n",
       "L 524.780752 194.858072 \n",
       "L 524.706824 193.706586 \n",
       "L 524.559272 192.562202 \n",
       "L 524.338702 191.429623 \n",
       "L 524.046021 190.313503 \n",
       "L 523.682432 189.218429 \n",
       "L 523.249427 188.1489 \n",
       "L 522.748788 187.109311 \n",
       "L 522.18257 186.103934 \n",
       "L 521.553101 185.1369 \n",
       "L 520.862967 184.212184 \n",
       "L 520.115004 183.333584 \n",
       "L 519.312286 182.504712 \n",
       "L 518.458111 181.728973 \n",
       "L 517.55599 181.009555 \n",
       "L 516.609628 180.349414 \n",
       "L 515.622916 179.751263 \n",
       "L 514.599907 179.21756 \n",
       "L 513.544806 178.750498 \n",
       "L 512.461948 178.351997 \n",
       "L 511.355783 178.023692 \n",
       "L 510.230855 177.766935 \n",
       "L 509.091789 177.58278 \n",
       "L 507.943264 177.471983 \n",
       "L 506.79 177.435 \n",
       "L 506.79 177.435 \n",
       "L 483.39 177.435 \n",
       "L 483.39 195.435 \n",
       "L 483.39 213.435 \n",
       "L 506.79 213.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_137\">\n",
       "    <path d=\"M 470.79 204.435 \n",
       "L 483.39 204.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_138\">\n",
       "    <path d=\"M 470.79 186.435 \n",
       "L 483.39 186.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_139\">\n",
       "    <path d=\"M 533.43 195.435 \n",
       "L 537.39 195.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_140\">\n",
       "    <path d=\"M 358.83 195.435 \n",
       "L 470.79 186.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_141\">\n",
       "    <path d=\"M 467.19 231.435 \n",
       "L 470.79 204.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_142\">\n",
       "    <path d=\"M 650.79 213.435 \n",
       "L 651.943264 213.398017 \n",
       "L 653.091789 213.28722 \n",
       "L 654.230855 213.103065 \n",
       "L 655.355783 212.846308 \n",
       "L 656.461948 212.518003 \n",
       "L 657.544806 212.119502 \n",
       "L 658.599907 211.65244 \n",
       "L 659.622916 211.118737 \n",
       "L 660.609628 210.520586 \n",
       "L 661.55599 209.860445 \n",
       "L 662.458111 209.141027 \n",
       "L 663.312286 208.365288 \n",
       "L 664.115004 207.536416 \n",
       "L 664.862967 206.657816 \n",
       "L 665.553101 205.7331 \n",
       "L 666.18257 204.766066 \n",
       "L 666.748788 203.760689 \n",
       "L 667.249427 202.7211 \n",
       "L 667.682432 201.651571 \n",
       "L 668.046021 200.556497 \n",
       "L 668.338702 199.440377 \n",
       "L 668.559272 198.307798 \n",
       "L 668.706824 197.163414 \n",
       "L 668.780752 196.011928 \n",
       "L 668.780752 194.858072 \n",
       "L 668.706824 193.706586 \n",
       "L 668.559272 192.562202 \n",
       "L 668.338702 191.429623 \n",
       "L 668.046021 190.313503 \n",
       "L 667.682432 189.218429 \n",
       "L 667.249427 188.1489 \n",
       "L 666.748788 187.109311 \n",
       "L 666.18257 186.103934 \n",
       "L 665.553101 185.1369 \n",
       "L 664.862967 184.212184 \n",
       "L 664.115004 183.333584 \n",
       "L 663.312286 182.504712 \n",
       "L 662.458111 181.728973 \n",
       "L 661.55599 181.009555 \n",
       "L 660.609628 180.349414 \n",
       "L 659.622916 179.751263 \n",
       "L 658.599907 179.21756 \n",
       "L 657.544806 178.750498 \n",
       "L 656.461948 178.351997 \n",
       "L 655.355783 178.023692 \n",
       "L 654.230855 177.766935 \n",
       "L 653.091789 177.58278 \n",
       "L 651.943264 177.471983 \n",
       "L 650.79 177.435 \n",
       "L 650.79 177.435 \n",
       "L 627.39 177.435 \n",
       "L 627.39 195.435 \n",
       "L 627.39 213.435 \n",
       "L 650.79 213.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_143\">\n",
       "    <path d=\"M 614.79 204.435 \n",
       "L 627.39 204.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_144\">\n",
       "    <path d=\"M 614.79 186.435 \n",
       "L 627.39 186.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_145\">\n",
       "    <path d=\"M 677.43 195.435 \n",
       "L 681.39 195.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_146\">\n",
       "    <path d=\"M 609.39 231.435 \n",
       "L 614.79 186.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_147\">\n",
       "    <path d=\"M 537.39 195.435 \n",
       "L 614.79 204.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_148\">\n",
       "    <path d=\"M 506.79 141.435 \n",
       "L 507.943264 141.398017 \n",
       "L 509.091789 141.28722 \n",
       "L 510.230855 141.103065 \n",
       "L 511.355783 140.846308 \n",
       "L 512.461948 140.518003 \n",
       "L 513.544806 140.119502 \n",
       "L 514.599907 139.65244 \n",
       "L 515.622916 139.118737 \n",
       "L 516.609628 138.520586 \n",
       "L 517.55599 137.860445 \n",
       "L 518.458111 137.141027 \n",
       "L 519.312286 136.365288 \n",
       "L 520.115004 135.536416 \n",
       "L 520.862967 134.657816 \n",
       "L 521.553101 133.7331 \n",
       "L 522.18257 132.766066 \n",
       "L 522.748788 131.760689 \n",
       "L 523.249427 130.7211 \n",
       "L 523.682432 129.651571 \n",
       "L 524.046021 128.556497 \n",
       "L 524.338702 127.440377 \n",
       "L 524.559272 126.307798 \n",
       "L 524.706824 125.163414 \n",
       "L 524.780752 124.011928 \n",
       "L 524.780752 122.858072 \n",
       "L 524.706824 121.706586 \n",
       "L 524.559272 120.562202 \n",
       "L 524.338702 119.429623 \n",
       "L 524.046021 118.313503 \n",
       "L 523.682432 117.218429 \n",
       "L 523.249427 116.1489 \n",
       "L 522.748788 115.109311 \n",
       "L 522.18257 114.103934 \n",
       "L 521.553101 113.1369 \n",
       "L 520.862967 112.212184 \n",
       "L 520.115004 111.333584 \n",
       "L 519.312286 110.504712 \n",
       "L 518.458111 109.728973 \n",
       "L 517.55599 109.009555 \n",
       "L 516.609628 108.349414 \n",
       "L 515.622916 107.751263 \n",
       "L 514.599907 107.21756 \n",
       "L 513.544806 106.750498 \n",
       "L 512.461948 106.351997 \n",
       "L 511.355783 106.023692 \n",
       "L 510.230855 105.766935 \n",
       "L 509.091789 105.58278 \n",
       "L 507.943264 105.471983 \n",
       "L 506.79 105.435 \n",
       "L 506.79 105.435 \n",
       "L 483.39 105.435 \n",
       "L 483.39 123.435 \n",
       "L 483.39 141.435 \n",
       "L 506.79 141.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_149\">\n",
       "    <path d=\"M 470.79 132.435 \n",
       "L 483.39 132.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_150\">\n",
       "    <path d=\"M 470.79 114.435 \n",
       "L 483.39 114.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_151\">\n",
       "    <path d=\"M 524.79 123.435 \n",
       "L 537.39 123.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_152\">\n",
       "    <path d=\"M 467.19 231.435 \n",
       "L 470.79 114.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_153\">\n",
       "    <path d=\"M 38.79 375.435 \n",
       "L 470.79 132.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_154\">\n",
       "    <path d=\"M 506.79 105.435 \n",
       "L 507.943264 105.398017 \n",
       "L 509.091789 105.28722 \n",
       "L 510.230855 105.103065 \n",
       "L 511.355783 104.846308 \n",
       "L 512.461948 104.518003 \n",
       "L 513.544806 104.119502 \n",
       "L 514.599907 103.65244 \n",
       "L 515.622916 103.118737 \n",
       "L 516.609628 102.520586 \n",
       "L 517.55599 101.860445 \n",
       "L 518.458111 101.141027 \n",
       "L 519.312286 100.365288 \n",
       "L 520.115004 99.536416 \n",
       "L 520.862967 98.657816 \n",
       "L 521.553101 97.7331 \n",
       "L 522.18257 96.766066 \n",
       "L 522.748788 95.760689 \n",
       "L 523.249427 94.7211 \n",
       "L 523.682432 93.651571 \n",
       "L 524.046021 92.556497 \n",
       "L 524.338702 91.440377 \n",
       "L 524.559272 90.307798 \n",
       "L 524.706824 89.163414 \n",
       "L 524.780752 88.011928 \n",
       "L 524.780752 86.858072 \n",
       "L 524.706824 85.706586 \n",
       "L 524.559272 84.562202 \n",
       "L 524.338702 83.429623 \n",
       "L 524.046021 82.313503 \n",
       "L 523.682432 81.218429 \n",
       "L 523.249427 80.1489 \n",
       "L 522.748788 79.109311 \n",
       "L 522.18257 78.103934 \n",
       "L 521.553101 77.1369 \n",
       "L 520.862967 76.212184 \n",
       "L 520.115004 75.333584 \n",
       "L 519.312286 74.504712 \n",
       "L 518.458111 73.728973 \n",
       "L 517.55599 73.009555 \n",
       "L 516.609628 72.349414 \n",
       "L 515.622916 71.751263 \n",
       "L 514.599907 71.21756 \n",
       "L 513.544806 70.750498 \n",
       "L 512.461948 70.351997 \n",
       "L 511.355783 70.023692 \n",
       "L 510.230855 69.766935 \n",
       "L 509.091789 69.58278 \n",
       "L 507.943264 69.471983 \n",
       "L 506.79 69.435 \n",
       "L 506.79 69.435 \n",
       "L 483.39 69.435 \n",
       "L 483.39 87.435 \n",
       "L 483.39 105.435 \n",
       "L 506.79 105.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_155\">\n",
       "    <path d=\"M 470.79 96.435 \n",
       "L 483.39 96.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_156\">\n",
       "    <path d=\"M 470.79 78.435 \n",
       "L 483.39 78.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_157\">\n",
       "    <path d=\"M 524.79 87.435 \n",
       "L 537.39 87.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_158\">\n",
       "    <path d=\"M 467.19 231.435 \n",
       "L 470.79 78.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_159\">\n",
       "    <path d=\"M 38.79 411.435 \n",
       "L 470.79 96.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_160\">\n",
       "    <path d=\"M 555.39 105.075 \n",
       "L 574.932857 105.008878 \n",
       "L 576.99 104.715 \n",
       "L 579.047143 104.18602 \n",
       "L 581.104286 103.421939 \n",
       "L 583.161429 102.422755 \n",
       "L 585.218571 101.188469 \n",
       "L 587.275714 99.719082 \n",
       "L 589.332857 98.014592 \n",
       "L 591.904286 95.553367 \n",
       "L 594.475714 92.724796 \n",
       "L 597.047143 89.528878 \n",
       "L 598.59 87.435 \n",
       "L 598.59 87.435 \n",
       "L 596.018571 84.018673 \n",
       "L 593.447143 80.969694 \n",
       "L 590.875714 78.288061 \n",
       "L 588.304286 75.973776 \n",
       "L 586.247143 74.386837 \n",
       "L 584.19 73.035 \n",
       "L 582.132857 71.918265 \n",
       "L 580.075714 71.036633 \n",
       "L 578.018571 70.390102 \n",
       "L 575.961429 69.978673 \n",
       "L 573.904286 69.802347 \n",
       "L 573.39 69.795 \n",
       "L 555.39 69.795 \n",
       "L 555.39 69.795 \n",
       "L 557.3772 71.955 \n",
       "L 559.1052 74.115 \n",
       "L 560.574 76.275 \n",
       "L 561.7836 78.435 \n",
       "L 562.734 80.595 \n",
       "L 563.4252 82.755 \n",
       "L 563.8572 84.915 \n",
       "L 564.03 87.075 \n",
       "L 563.9436 89.235 \n",
       "L 563.598 91.395 \n",
       "L 562.9932 93.555 \n",
       "L 562.1292 95.715 \n",
       "L 561.006 97.875 \n",
       "L 559.6236 100.035 \n",
       "L 557.982 102.195 \n",
       "L 556.0812 104.355 \n",
       "L 555.39 105.075 \n",
       "L 555.39 105.075 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_161\">\n",
       "    <path d=\"M 542.79 96.435 \n",
       "L 561.7836 96.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_162\">\n",
       "    <path d=\"M 542.79 78.435 \n",
       "L 561.7836 78.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_163\">\n",
       "    <path d=\"M 598.59 87.435 \n",
       "L 611.19 87.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_164\">\n",
       "    <path d=\"M 537.39 123.435 \n",
       "L 542.79 78.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_165\">\n",
       "    <path d=\"M 537.39 87.435 \n",
       "L 542.79 96.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_166\">\n",
       "    <path d=\"M 146.79 69.435 \n",
       "L 147.943264 69.398017 \n",
       "L 149.091789 69.28722 \n",
       "L 150.230855 69.103065 \n",
       "L 151.355783 68.846308 \n",
       "L 152.461948 68.518003 \n",
       "L 153.544806 68.119502 \n",
       "L 154.599907 67.65244 \n",
       "L 155.622916 67.118737 \n",
       "L 156.609628 66.520586 \n",
       "L 157.55599 65.860445 \n",
       "L 158.458111 65.141027 \n",
       "L 159.312286 64.365288 \n",
       "L 160.115004 63.536416 \n",
       "L 160.862967 62.657816 \n",
       "L 161.553101 61.7331 \n",
       "L 162.18257 60.766066 \n",
       "L 162.748788 59.760689 \n",
       "L 163.249427 58.7211 \n",
       "L 163.682432 57.651571 \n",
       "L 164.046021 56.556497 \n",
       "L 164.338702 55.440377 \n",
       "L 164.559272 54.307798 \n",
       "L 164.706824 53.163414 \n",
       "L 164.780752 52.011928 \n",
       "L 164.780752 50.858072 \n",
       "L 164.706824 49.706586 \n",
       "L 164.559272 48.562202 \n",
       "L 164.338702 47.429623 \n",
       "L 164.046021 46.313503 \n",
       "L 163.682432 45.218429 \n",
       "L 163.249427 44.1489 \n",
       "L 162.748788 43.109311 \n",
       "L 162.18257 42.103934 \n",
       "L 161.553101 41.1369 \n",
       "L 160.862967 40.212184 \n",
       "L 160.115004 39.333584 \n",
       "L 159.312286 38.504712 \n",
       "L 158.458111 37.728973 \n",
       "L 157.55599 37.009555 \n",
       "L 156.609628 36.349414 \n",
       "L 155.622916 35.751263 \n",
       "L 154.599907 35.21756 \n",
       "L 153.544806 34.750498 \n",
       "L 152.461948 34.351997 \n",
       "L 151.355783 34.023692 \n",
       "L 150.230855 33.766935 \n",
       "L 149.091789 33.58278 \n",
       "L 147.943264 33.471983 \n",
       "L 146.79 33.435 \n",
       "L 146.79 33.435 \n",
       "L 123.39 33.435 \n",
       "L 123.39 51.435 \n",
       "L 123.39 69.435 \n",
       "L 146.79 69.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_167\">\n",
       "    <path d=\"M 110.79 60.435 \n",
       "L 123.39 60.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_168\">\n",
       "    <path d=\"M 110.79 42.435 \n",
       "L 123.39 42.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_169\">\n",
       "    <path d=\"M 164.79 51.435 \n",
       "L 177.39 51.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_170\">\n",
       "    <path d=\"M 38.79 375.435 \n",
       "L 110.79 42.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_171\">\n",
       "    <path d=\"M 38.79 411.435 \n",
       "L 110.79 60.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_172\">\n",
       "    <path d=\"M 627.39 69.075 \n",
       "L 646.932857 69.008878 \n",
       "L 648.99 68.715 \n",
       "L 651.047143 68.18602 \n",
       "L 653.104286 67.421939 \n",
       "L 655.161429 66.422755 \n",
       "L 657.218571 65.188469 \n",
       "L 659.275714 63.719082 \n",
       "L 661.332857 62.014592 \n",
       "L 663.904286 59.553367 \n",
       "L 666.475714 56.724796 \n",
       "L 669.047143 53.528878 \n",
       "L 670.59 51.435 \n",
       "L 670.59 51.435 \n",
       "L 668.018571 48.018673 \n",
       "L 665.447143 44.969694 \n",
       "L 662.875714 42.288061 \n",
       "L 660.304286 39.973776 \n",
       "L 658.247143 38.386837 \n",
       "L 656.19 37.035 \n",
       "L 654.132857 35.918265 \n",
       "L 652.075714 35.036633 \n",
       "L 650.018571 34.390102 \n",
       "L 647.961429 33.978673 \n",
       "L 645.904286 33.802347 \n",
       "L 645.39 33.795 \n",
       "L 627.39 33.795 \n",
       "L 627.39 33.795 \n",
       "L 629.3772 35.955 \n",
       "L 631.1052 38.115 \n",
       "L 632.574 40.275 \n",
       "L 633.7836 42.435 \n",
       "L 634.734 44.595 \n",
       "L 635.4252 46.755 \n",
       "L 635.8572 48.915 \n",
       "L 636.03 51.075 \n",
       "L 635.9436 53.235 \n",
       "L 635.598 55.395 \n",
       "L 634.9932 57.555 \n",
       "L 634.1292 59.715 \n",
       "L 633.006 61.875 \n",
       "L 631.6236 64.035 \n",
       "L 629.982 66.195 \n",
       "L 628.0812 68.355 \n",
       "L 627.39 69.075 \n",
       "L 627.39 69.075 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_173\">\n",
       "    <path d=\"M 614.79 60.435 \n",
       "L 633.7836 60.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_174\">\n",
       "    <path d=\"M 614.79 42.435 \n",
       "L 633.7836 42.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_175\">\n",
       "    <path d=\"M 670.59 51.435 \n",
       "L 683.19 51.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_176\">\n",
       "    <path d=\"M 611.19 87.435 \n",
       "L 614.79 42.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_177\">\n",
       "    <path d=\"M 177.39 51.435 \n",
       "L 614.79 60.435 \n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_23\">\n",
       "    <path d=\"M 38.79 630.135 \n",
       "C 39.506048 630.135 40.192866 629.850511 40.699188 629.344188 \n",
       "C 41.205511 628.837866 41.49 628.151048 41.49 627.435 \n",
       "C 41.49 626.718952 41.205511 626.032134 40.699188 625.525812 \n",
       "C 40.192866 625.019489 39.506048 624.735 38.79 624.735 \n",
       "C 38.073952 624.735 37.387134 625.019489 36.880812 625.525812 \n",
       "C 36.374489 626.032134 36.09 626.718952 36.09 627.435 \n",
       "C 36.09 628.151048 36.374489 628.837866 36.880812 629.344188 \n",
       "C 37.387134 629.850511 38.073952 630.135 38.79 630.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- X[2] -->\n",
       "    <g transform=\"translate(25.655234 618.535391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5b\" d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-5d\" d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_24\">\n",
       "    <path d=\"M 38.79 594.135 \n",
       "C 39.506048 594.135 40.192866 593.850511 40.699188 593.344188 \n",
       "C 41.205511 592.837866 41.49 592.151048 41.49 591.435 \n",
       "C 41.49 590.718952 41.205511 590.032134 40.699188 589.525812 \n",
       "C 40.192866 589.019489 39.506048 588.735 38.79 588.735 \n",
       "C 38.073952 588.735 37.387134 589.019489 36.880812 589.525812 \n",
       "C 36.374489 590.032134 36.09 590.718952 36.09 591.435 \n",
       "C 36.09 592.151048 36.374489 592.837866 36.880812 593.344188 \n",
       "C 37.387134 593.850511 38.073952 594.135 38.79 594.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- X[0] -->\n",
       "    <g transform=\"translate(25.655234 582.535391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_25\">\n",
       "    <path d=\"M 537.39 486.135 \n",
       "C 538.106048 486.135 538.792866 485.850511 539.299188 485.344188 \n",
       "C 539.805511 484.837866 540.09 484.151048 540.09 483.435 \n",
       "C 540.09 482.718952 539.805511 482.032134 539.299188 481.525812 \n",
       "C 538.792866 481.019489 538.106048 480.735 537.39 480.735 \n",
       "C 536.673952 480.735 535.987134 481.019489 535.480812 481.525812 \n",
       "C 534.974489 482.032134 534.69 482.718952 534.69 483.435 \n",
       "C 534.69 484.151048 534.974489 484.837866 535.480812 485.344188 \n",
       "C 535.987134 485.850511 536.673952 486.135 537.39 486.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- $Y[0]$ -->\n",
       "    <g transform=\"translate(524.7025 474.535391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-59\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 1953 2747 \n",
       "L 3616 4666 \n",
       "L 4325 4666 \n",
       "L 2209 2222 \n",
       "L 1778 0 \n",
       "L 1147 0 \n",
       "L 1575 2222 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_26\">\n",
       "    <path d=\"M 38.79 414.135 \n",
       "C 39.506048 414.135 40.192866 413.850511 40.699188 413.344188 \n",
       "C 41.205511 412.837866 41.49 412.151048 41.49 411.435 \n",
       "C 41.49 410.718952 41.205511 410.032134 40.699188 409.525812 \n",
       "C 40.192866 409.019489 39.506048 408.735 38.79 408.735 \n",
       "C 38.073952 408.735 37.387134 409.019489 36.880812 409.525812 \n",
       "C 36.374489 410.032134 36.09 410.718952 36.09 411.435 \n",
       "C 36.09 412.151048 36.374489 412.837866 36.880812 413.344188 \n",
       "C 37.387134 413.850511 38.073952 414.135 38.79 414.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- X[3] -->\n",
       "    <g transform=\"translate(25.655234 402.535391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-33\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_27\">\n",
       "    <path d=\"M 38.79 378.135 \n",
       "C 39.506048 378.135 40.192866 377.850511 40.699188 377.344188 \n",
       "C 41.205511 376.837866 41.49 376.151048 41.49 375.435 \n",
       "C 41.49 374.718952 41.205511 374.032134 40.699188 373.525812 \n",
       "C 40.192866 373.019489 39.506048 372.735 38.79 372.735 \n",
       "C 38.073952 372.735 37.387134 373.019489 36.880812 373.525812 \n",
       "C 36.374489 374.032134 36.09 374.718952 36.09 375.435 \n",
       "C 36.09 376.151048 36.374489 376.837866 36.880812 377.344188 \n",
       "C 37.387134 377.850511 38.073952 378.135 38.79 378.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_5\">\n",
       "    <!-- X[1] -->\n",
       "    <g transform=\"translate(25.655234 366.535391) scale(0.125 -0.125)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-58\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" x=\"68.505859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"107.519531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" x=\"171.142578\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_28\">\n",
       "    <path d=\"M 681.39 198.135 \n",
       "C 682.106048 198.135 682.792866 197.850511 683.299188 197.344188 \n",
       "C 683.805511 196.837866 684.09 196.151048 684.09 195.435 \n",
       "C 684.09 194.718952 683.805511 194.032134 683.299188 193.525812 \n",
       "C 682.792866 193.019489 682.106048 192.735 681.39 192.735 \n",
       "C 680.673952 192.735 679.987134 193.019489 679.480812 193.525812 \n",
       "C 678.974489 194.032134 678.69 194.718952 678.69 195.435 \n",
       "C 678.69 196.151048 678.974489 196.837866 679.480812 197.344188 \n",
       "C 679.987134 197.850511 680.673952 198.135 681.39 198.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_6\">\n",
       "    <!-- $Y[1]$ -->\n",
       "    <g transform=\"translate(668.7025 186.535391) scale(0.125 -0.125)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_29\">\n",
       "    <path d=\"M 683.19 54.135 \n",
       "C 683.906048 54.135 684.592866 53.850511 685.099188 53.344188 \n",
       "C 685.605511 52.837866 685.89 52.151048 685.89 51.435 \n",
       "C 685.89 50.718952 685.605511 50.032134 685.099188 49.525812 \n",
       "C 684.592866 49.019489 683.906048 48.735 683.19 48.735 \n",
       "C 682.473952 48.735 681.787134 49.019489 681.280812 49.525812 \n",
       "C 680.774489 50.032134 680.49 50.718952 680.49 51.435 \n",
       "C 680.49 52.151048 680.774489 52.837866 681.280812 53.344188 \n",
       "C 681.787134 53.850511 682.473952 54.135 683.19 54.135 \n",
       "z\n",
       "\" clip-path=\"url(#p0017217d61)\" style=\"stroke: #000000; stroke-width: 2; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_7\">\n",
       "    <!-- $Y[2]$ -->\n",
       "    <g transform=\"translate(670.5025 42.535391) scale(0.125 -0.125)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-59\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5b\" transform=\"translate(61.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(100.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-5d\" transform=\"translate(163.720703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p0017217d61\">\n",
       "   <rect x=\"3.6\" y=\"3.6\" width=\"714.78\" height=\"656.37\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x124ae9b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 2\n",
    "def ADD(*X,n=N):\n",
    "    A=X[:n]\n",
    "    B=X[n:]\n",
    "    Result = [0]*(n+1)\n",
    "    Carry  = [0]*(n+1)\n",
    "    Carry[0] = zero(A[0])\n",
    "    for i in range(n):\n",
    "        Result[i] = XOR3(Carry[i],A[i],B[i])\n",
    "        Carry[i+1] = MAJ(Carry[i],A[i],B[i])\n",
    "    Result[n] = Carry[n]\n",
    "    return Result\n",
    "circuit(ADD,n=2*N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "table(ADD, n=2*N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "N = 3\n",
    "def ADD(*X,n=N):\n",
    "    A=X[:n]\n",
    "    B=X[n:]\n",
    "    Result = [0]*(n+1)\n",
    "    Carry  = [0]*(n+1)\n",
    "    Carry[0] = zero(A[0])\n",
    "    for i in range(n):\n",
    "        Result[i] = XOR3(Carry[i],A[i],B[i])\n",
    "        Carry[i+1] = MAJ(Carry[i],A[i],B[i])\n",
    "    Result[n] = Carry[n]\n",
    "    return Result\n",
    "circuit(ADD,n=2*N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "table(ADD, n=2*N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def add(x,y):\n",
    "    return b2n(ADD(*(n2b(x,N)+n2b(y,N))))\n",
    "add(2,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "for x in range(0,2**N):\n",
    "    for y in range(0,2**N):\n",
    "        print(\"X\" if add(x,y)!=x+y else \"✓\",end=\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "X = list(range(10,50,5))\n",
    "Y = [circ_size(lambda *X:ADD(*X,n=n),2*n) for n in X]\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(X,Y)\n",
    "plt.ylabel('circuit size')\n",
    "plt.xlabel('input length')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "tcs",
   "language": "python",
   "name": "tcs"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}