{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Error Formulas for Polynomial Collocation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Last revised on August 27, 2025**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- {cite}`Sauer` Section 3.2.1, *Interpolation Error Formula*`.\n",
    "\n",
    "- {cite}`Burden-Faires` Section 3.1, *Interpolation and the Lagrange Polynomial*.\n",
    "\n",
    "- {cite}`Chenney-Kincaid` Section 4.2, *Errors in Polynomial Interpolation*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "When a polynomial $P_n$ is given by collocation to $n+1$ points $(x_i, y_i)$, $y_i = f(x_i)$ on the graph of a function $f$, one can ask how accurate it is as an approximation of $f$ at points $x$ other than the nodes: what is the error $E(x) = f(x) - P(x)$?\n",
    "\n",
    "As is often the case, the result is motivated by considering the simplest \"non-trival case\":\n",
    "$f$ a polynomial of degree one too high for an exact fit, so of degree $n+1$.\n",
    "The result is also analogous to the familiar error formula for Taylor polynonial approximations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"NumericalMethods.jl\")\n",
    "using .NumericalMethods: polyfit, polyval"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Error in $P_n(x)$ collocating a polynomial of degree $n+1$\n",
    "\n",
    "With $f(x) = c_{n+1} x^{n+1} + c_{n} x^{n} + \\cdots + c_0$ a polynomial of degree $n+1$ and $P_n(x)$ the unique polynomial of degree at most $n$ that collocates with it at the $n+1$ nodes $x_0, \\dots x_n$, the error\n",
    "\n",
    "$$E_n(x) = f(x) - P(x)$$\n",
    "is a polynomial of degree $n+1$ with all its roots known: the nodes $x_i$.\n",
    "Thus it can be factorized as\n",
    "\n",
    "\\begin{align}\n",
    "E_n(x) &= C (x-x_0) \\cdot (x-x_1) \\cdots (x-x_n)\\\\\n",
    "       &= Cx^{n+1} + \\text{lower powers of $x$.}\n",
    "\\end{align}\n",
    "\n",
    "On the other hand, the only term of degree $x^{n+1}$ in $f(x) - P(x)$ is the leading term of $f(x)$, $c_{n+1} x^{n+1}$.\n",
    "Thus $C = c_{n+1}$.\n",
    "\n",
    "It will be convenient to note that the order $n+1$ derivative of $f$ is the constant\n",
    "$f^{(n+1)}D^{n+1}f(x) = (n+1)! c_{n+1}$, so the error can be written as\n",
    "\n",
    "$$E_n(x) = f(x) - P_n(x) = \\frac{D^{n+1}f(x)}{(n+1)!} (x-x_0) \\cdots (x-x_n)= \\frac{D^{n+1}f(x)}{(n+1)!}\\prod\\limits_{i=0}^n (x - x_i).$$ (collocation-error-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error  in $P_n(x)$ when collocating with a sufficiently differentiable function\n",
    "\n",
    "```{prf:theorem}\n",
    ":label: collocation-error-formula\n",
    "\n",
    "For a function $f$ with continuous derivative of order $n+1$ $D^{n+1}f$,\n",
    "the polynomial $P_n$ of degree at most $n$ that fits the points $(x_i, f(x_i))$ $0 \\leq i \\leq n$ differs from $f$ by\n",
    "\n",
    "$$E_n(x) = f(x) - P_n(x) = \\frac{D^{n+1}f(\\xi_x)}{(n+1)!}\\prod\\limits_{i=0}^n (x - x_i)$$ (collocation-error-2)\n",
    "\n",
    "for some value of $\\xi_x$ that is amongst the $n+2$ points $x_0, \\dots x_n$ and $x$.\n",
    "\n",
    "In particular, when $a \\leq x_0 < x_1 \\cdots < x_n \\leq b$ and $x \\in [a,b]$, then also $\\xi_x \\in [a, b]$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:observation}\n",
    ":label: comparison-to-taylor-error-formula\n",
    "\n",
    "This is rather similar to the error formula for the Taylor polynomial $p_n$ with center $x_0$:\n",
    "\n",
    "$$e_n(x) = f(x) - p_n(x) = \\frac{D^{n+1}f(\\xi)}{(n+1)!} (x-x_0)^{n+1},\\, \\text{some $\\xi$ between $x_0$ and $x$.} $$(taylor-error)\n",
    "\n",
    "This is effectively the limit of Equation {eq}`collocation-error-2` when all the $x_i$ congeal to $x_0$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error bound with equally spaced nodes is $O(h^{n+1})$, but ...\n",
    "\n",
    "An important special case is when there is a single parameter $h$ describing the spacing of the nodes; when they are the equally spaced values $x_i = a + i h$, $0 \\leq i \\leq n$, so that $x_0 = a$ and $x_n = b$ with $h = \\displaystyle \\frac{b-a}{n}$.\n",
    "Then there is a somewhat more practically usable error bound:\n",
    "\n",
    "```{prf:theorem}\n",
    ":label: collocation-error-formula-equally-spaced-nodes\n",
    "\n",
    "For $x \\in [a,b]$ and the above equaly spaced nodes in that interval $[a,b]$,\n",
    "\n",
    "$$| E_n(x) | = \\left| f(x) - P_n(x)\\right| \\leq \\frac{M_{n+1}}{n+1} h^{n+1}, = O(h^{n+1}),$$ (collocation-error-h)\n",
    "\n",
    "where $M_{n+1} = \\max\\limits_{x \\in [a,b]} | D^{n+1}f(x)|$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Possible failure of convergence\n",
    "\n",
    "A major practical problem with this error bound is that is does not in general guarantee convergence\n",
    "$P_n(x) \\to f(x)$ as $n \\to \\infty$ with fixed interval $[a, b]$, because in some cases $M_{n+1}$ grows too fast.\n",
    "\n",
    "A famous example is the \"Witch of Agnesi\" (so-called because it was introduced by Maria Agnesi,\n",
    "author of the first textbook on differential and integral calculus)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "agnesi(x) = 1.0/(1 + x^2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "function graph_agnesi_collocation(a, b, n)\n",
    "    figure(figsize=[12, 6])\n",
    "    title(\"The Witch of Agnesi and collocating polynomial of degree n=$n\")\n",
    "    x = range(a, b, 200)  # Plot 200 points as some fine detail is needed\n",
    "    y = agnesi.(x)\n",
    "    plot(x, y, label=\"Witch of Agnesi\")\n",
    "    xnodes = range(a, b, n+1)\n",
    "    ynodes = agnesi.(xnodes)\n",
    "    c = polyfit(xnodes, ynodes)\n",
    "    P_n = polyval.(x, coeffs=c)\n",
    "    plot(xnodes, ynodes, \"r*\", label=\"Collocation nodes\")\n",
    "    plot(x, P_n, label=\"P_$n(x)\")\n",
    "    legend()\n",
    "    grid(true)\n",
    "\n",
    "    figure(figsize=[12, 6])\n",
    "    title(\"Error curve\")\n",
    "    E_n = P_n - y\n",
    "    plot(x, E_n)\n",
    "    grid(true)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Start with $n=4$, which seems somewhat well-behaved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(-4.0, 4.0, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now increase the number of inervals, doubling each time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(-4.0, 4.0, 8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The curve fits better in the central part, but gets worse towards the ends!\n",
    "\n",
    "One hint as to why is to plot the polynomial factor in the error formula above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "function graph_error_formula_polynomial(a, b, n)\n",
    "    figure(figsize=[12, 6])\n",
    "    title(\"The polynomial factor in the error formula for degree $n\")\n",
    "    n_plot_points = 200\n",
    "    x = range(a, b, n_plot_points)\n",
    "    x_nodes = range(a, b, n+1)\n",
    "    polynomial_factor = ones(n_plot_points)\n",
    "    for x_node in x_nodes\n",
    "        polynomial_factor .*= (x .- x_node)\n",
    "    end\n",
    "    plot(x, polynomial_factor)\n",
    "    grid(true)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_error_formula_polynomial(-4.0, 4.0, 4)\n",
    "graph_error_formula_polynomial(-4.0, 4.0, 8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As n increases, it just gets worse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6pKFS3/zgsQr4CxcyVVUE9LbDp0uS1r6wp2D3g8IhoMak/XHTXiWSthbPqtW8aVUFv7+Ljp+n85fPVdKW/uEnT6u1c6Dg9wkAAIDy9V8PvaqHNu1VRcCn735ouZqqKwp+n6venKr8XPvi7oLfF/KPgBqTZt41K2S593CWZenL5y3RUbPr1N4X1Sd//JQi8URR7hsAAADl5Q8v7tF/PZQaYfVv7ztaR8+tL8r9nr54hnyW9EJrt3bsp9u31xBQY1IGYwn95dV9kqRVby5sufdw4aBf3/3QctVXBrVxe6f+9bcvFu2+AQAAUB627OvVtfdulCR9+MT5On/53KLd97SakFbMT42i/cOLlH17DQE1JuWvm9vUH01oTn1Yb55TV9T7njetSl+/cJksS/rRY9v0iyd3FPX+AQAAULp6I3F9/IdPqicS13ELGvXP7zqq6GsYKvsmoPYaAmpMSqbc+82zZFlW0e//1CNm6FOnHy5J+uKvntMLrV1FXwMAAABKi23b+uwvntGre3s1sy6kb198rIIFbEI2njPTRyoff71Dnf3Rot8/ckdAjYNKJG394aVUQH1mkc5Pj+UfTztcpx4xXZF4Ulf+6El19cccWwsAAAC877sPb9EDz+1W0G/pOxcv14zasCPrmD+tWotn1SqRtPXHTXsdWQNyQ0CNg3pq236190VVFw7o+IVNjq3D57P0tQ8sU0tTpbZ3DOiae59WMmk7th4AAAB41yOv7tMtD26SJN34njdr+fxGR9djGv8yPstbCKhxUOvSZzlOP3KmIyUwwzVUVei2i5crFPDpTy/v0zf++Kqj6wEAAID3bO/o1z/85GklbekDK1p00fHznF5SpvHvX17dp8EYk228goAaE7JtWw++kJqJV6xxWQez5JB63fS+oyVJX//Dq/rts60OrwgAAABe0TUQ06V3rVdnf0xvmVuvNe99syM9gg705jl1mlMfVn80ob9ubnN6OZgkAmpM6NW9vXqjvV8VAZ/e/qbpTi8n4/zlc/XRkxdIklb/7Blt2Nrh7IIAAADgetF4Up/40ZOZJmTfvWS5wkG/08uSJFmWlelXRNm3dxBQY0KPb2mXJK1c2KTqUMDh1Yz0z+88SmceNVPReFJX/GCDtrb1Ob0kAAAAuJRt2/rCr57To6+1q7rCr+9/5DjNrq90elkjnLp4hiTp8dfbHV4JJouAGhN6ZkdqPNUxLQ3OLmQMfp+l/7pwmd4yt177+2P6yJ1PqKOPMQMAAAAY7Zt/3KxfPLlDfp+lb118rN48p97pJY2yLP2ae2t7P+OzPIKAGhN6ZnunJOktLgyoJamqIqDvffg4HdJQqa3t/frYDzZoIEoTBwAAAAz55VM79NV1r0iS1rznzTr1iBkOr2hsDVUVWjCtSpL0bDqxBXcjoMa4eiNxbd7XK0laOrfB2cVMYHptSHd99DjVhgPa8MZ+XUFQDQAAgLTfPNOqT//8GUnSx99+qD50wnyHVzQx87r72R2djq4Dk0NAjXE9v7NLti3NqQ9rem3I6eVM6PCZtbrzI8epusKv/9vcRlANAAAA/eaZVn3qp6nxWBcsn6vPnb3Y6SUd1NK5qVL0Z8hQewIBNcZl3hVzc3Z6uBULmnTXpccTVAMAAGBUMP0f718qn8/58VgHY45akqH2hqIE1N/5zne0cOFChcNhLV++XI888kgx7hZTZN4VW9rivoYN4znugKD68h+sJ6gGAAAoM//j0WBaSs2j9lnSnu6IdncNOr0cHETB5yDde++9uuaaa/Sd73xHJ598sm6//Xadc845evHFFzVv3rxC3z2mwDQkW+aRDLVhguqPfP8J/XVzuy64/VHdcckKTa9219gvpyWTtvpjCUViCcUStqLxpKKJpCQp6LcU9PsU8FsK+tJ/+n0K+n3ye+QfIwAAvCgST6h7IK7+aFxJW0ratmzblm0r9W9xwKeg31KF36eqioAqAhScDmfbtr79p826de3Lsj0YTEupprtvmlmrTbt79MyOTs2qn+X0kjCBgkcYX/3qV3XZZZfp8ssvlyR9/etf14MPPqjbbrtNN998c6HvHjlq741ox/4BSdKSud7JUBvHLWjSDy47Xlf84Ek9v7Nb7/nWX/WtC5c6vayiGIwltK2jX1vb+rSzc0B7eyLa2x3R3p5BtfVG1T0QU89gTD2RuGw7+9v3+yzVhAKqDQdUFw6qNhxQbTiousrU53XhgOoqg6qvDKqhqkINVUE1VAZVXxVUQ2UF//ADAEpaImmrZzCm7oG4ugdj6hqIqXsgNuzvB14eH3GdwVgyq/sLB32qTf973FhVoZl1Ic2oTfW/mVUX1vxpVZo/rVrNNRWyLO8ElbmIJqRrf/ac/vf53ZKkvz9xvm5895s9FUwbb5nboE27e/Tsjk6d9WYCajcraEAdjUb15JNP6vOf//yIy1etWqVHH320kHddVK/u7dVzHZYO39urow5pdHo5efHszlS596HTq1UXDjq8mtwsn9+kX191sq74wQZt2t2jS+7coPfPt3Su0wvLk75IXK/s6dHLu3u0aXfqz9fb+rS7O/vSoExGOv0PTjxpK56wMxnr4RJJW10DqRcC0kDW91VV4U8H2BVqqAymAu6qoOorU8F3bYVPr7VbmvZ6h6bVVqa/FlRl0O/KFwLxRFKReOojGk8qEk+k/0xl/KPxYR+Joa9PdJ1YIqlE0h6WmUj9mbRTlQWpv6c+t4f96bMsWZYlv0/yWZZ8Pks+y5Lf0phf81uW/D5LAZ8lvz/1ecBnyZ+uSsh8zTfs8vTnspN6ts2S74U9CgUD6ev7Dri+pYAvVdXgP/By/9DXfZZk25J5f8e27WF/lzKfpa9jZz61h/099bMZ+lmN/PmYy0b8LNNZn6GfaxbXH3H7tpLJMfZq2ONwQjKR0PO7LXU+sV1+v78o92l+RS1ZsizJGna5paELLEmWZY38urnO8NtJX8dnWfJZ6c+toc99wz4/8M+h70l934HfY8mSzzfytn3D7s+ylP4dUuZya9htSFLCtpVM2krYdup3Nqmhv9up/48m059nrpv5uxRPJhWJxfVshyXr+d2Sz69EMql4wk79fzhpK5FIpv40nydtxce6bNj3DV2eumz483D4z3zosqFPzF74fT4FfcOqldL/RgQDqcsD6csrhl1e4fepIuBTKGD+9KtijMsrAj6F/P7M391U+WTbtiLxpPoicfWaj8G49vcO6ol9lvb97Q31RpNjBsXd6b/3ROJ5WUtVhV/+Yc9FSUqk/22OJpKZ//8NxpIajEW0ryciqW/C25s/rVpvmlmjI2bVavGsWh0xq05z6sOu/Pc1W62dA/qvF/za0bdbAZ+lNe99sy5e6e5u3hNZ2lKvezdsL6nRWZF4Qg+9uFcv7Ld0Ti5ZHZcqaEDd1tamRCKhmTNnjrh85syZ2r1796jrRyIRRSKRzOfd3d2SpFgsplgsVsilTsm9T2zT3S/7pWk7dPiMGqeXkxdPv9EhSTp6Tp2rf/YHM6s2qHuvOE6f++UL+v0Le/TTLX4N/uJZffHcI9VQ5Z03CuKJpDbt7tUzO7v07I4uPbezS5v39Y2bYa4NBzS/qUqHNIQ1oy6sGTUVml4b0vTaUCqDnMksBxQK+Mb9h9S2h16YxRKpF2yReFK9g3H1ROLqGRz66B6MqXcwnnpRkX6R0TkQU1d/6p33rsGYbFvqjybUH02odcIzQX59/5UNIy4J+CyFg35VBn3pP/0KV/hSf6Y/DwwL3DIf1tDfLaWCnEQ6gEqkA6REcuiFcSwxPDge+XcT/A4PmpOl8+9BDvy6+9VnnF4EJuTXz19/yelF4KD80svPOr0IxwR8VibwDgV8Ywbnqc+t9HVMMJ56I2+EA/5htCXFMm9cDgWjmcsSSQ1Gk+qLxtUXSag3Eld83P+x+6XNL0/6cVUGfZl/b+sqg5l/fzMVXZWBcS4LqiYUOOgbDfFEUn3RRObf4J7BuDr6otrbE9G+nqj29qbO327r6Fdr16D6owm9tKtbL+3qHnE706ortKylXse0NGhZS72OPqROVRXeOSZn27Z+/8Ie3fibl9TRb6mpKqhvfXCZjlvQ6OnXsG+elYopnt3RqWg0WhJverT3RPTJn2yU5NenYjFXP6ZsnjtF+W058Idl2/aYP8Cbb75Za9asGXX52rVrVVVVVbD1TdWO7T5JPm1+faseeGCL08vJi4c2pR6Tv2uHHnhgu9PLmbKzayVfi6UHtvt1/zO79YcXdum8BUmtaLblxt/lWFJ6o1d6rdvSa92WXu+xFE2OXmhd0NbsKluzq6Q5VbZmVtqaHpaqAnFZ1rCAtS/10btb6pXUmse1WpLq0h+SJL+k6vTHMElbGkxI/XGpLy71xy31x5X56BvxuTXselLSthRP2ulsQR4Xn2c+y1bAkoI+KWBJAV/6wxr60++zR3weHOc6PivVNdJk+TJ/pv/uO+BzI5nO4qayp1JSQ9nfAz9P2JZsW6k3GIZ/pL//wMsTY37NGvF9Y37PBLdt6+C/gNaw/JqV/o814uvm53/Az2rYnz4d5GvDfp4a47Kxr2+PeZ3h6ygnw+OY4eGIPdHXDrh8rK+l/rBGPX+loed75jmukc/3g35tjMuS6Tsd8TszYj0jN9bSyN9X83ef+T0d9vlYf/enr5f608587htxuUZc7pfk86X/zFxuj3ld83wcsVdj/PwPvDwppd9sNB9W5u/J9OXxYb/L8WTq89SfVurPEZdpxGXDf47xpK14NKF+uauJaIXPVtgvhfxSpV+qCtiqDKT+XhmQKgN2+vL053572N9T/0+XomPfeDT90SUlJO1Pf+TD9PTHUWFJYUkzUz/39oi0b8DSrgGptc9Sa7+lvYNSe19UD23ap4c27ZMk+WRrTrW0oMbWglpbC2ttTQu58/9p7YPSz1/36aXO1Bsrh1TZunzxgPa9+Dc98KLDi5uiRFIKWH51DcT1g1/+TtMrnV7R1O2PSFJAfsvWH/7wB6eXM6H+/v5JX7egAXVzc7P8fv+obPTevXtHZa0l6brrrtPq1aszn3d3d6ulpUWrVq1SXV3dqOu7xQsPvqyHWt/Q3JZ5Ovfco5xezpTZtq0vPfuwpKguPPNEHTOvwekl5cWqWEyH3bdOD+yt1+Z9ffrRZr9eSzbphncdqUXTqw9+AwXUG4nr6W2dWr91v9a/sV/P7OhSLDHylU5dOKC3zK3X0YfUa+ncOi09pN7188FzEYvFtG7dOp155pkKBoOybTvzDvxgLKGBWEKDsWTqz2jq84FYUoOxRKbUMfNxQDmmbafOgFuW5DcloL5USbSVzmQPz5IMlS0OK1M0Xw+msyT+oa+7qWyx0A7cp1yZEnZT2ju81BdTk689wkimOZQtExhP7blajvtk26nKp8iwoy5jHoVJJBWNHfD5sMqhaLr03TrIG3MVpolX+v/fQb/Jeqcy3uEKv6or/KoOBVQTCqgm5FdVxcgMcanuUySW0Iu7evT09k49vb1LT2/v1J7uiHb0STv6LP3fntT1ZtSGdNz8Rq1Y0KAV8xv1phk1jp5LjsSTuuvRN/StDa9pMJZU0G/p8pPna1Fks849q3T26O6dj+uZHV1qPOwYnfuW2U4vZ8q27++Xnvo/+Sy5/nfJVEpPRkED6oqKCi1fvlzr1q3T+973vszl69at03vf+95R1w+FQgqFRgcIwWDQ1T/wUDB1Ni0puXqdk7Wzc0DtfVEFfJaWzmtSMFics3fFsKhO+vX5J+qux7brGw+9qr9t6dA53/yrTl88U5eevEAnLppWlBfye7sHU8Hz1g5teKNDL7Z2jyodnl4b0vELm7RyYZOOX9ikN82o9WRTjVwN/72vqJAaS+M0Rclx+/+fwR55RbntU4Uk99Yejq/U9ikYDOr4RWEdv2h65rJdXQN66o1OPbVtv57atl/P7+zS3p6I/vf53ZlmX/WVQa2Y36jj0q9RlsypL0rT0b09g/rxY9v048ffUFtvKvt/wqFNuul9R2teQ0gPPLC5pPbomHmNemZHl17Y1av3ryiBx2SlYgq/5f7fpWzWVvCS79WrV+uSSy7RihUrdOKJJ+qOO+7Qtm3bdOWVVxb6rosmkD6/Ez8go+hVz6bHZR0xq1bhEgqmjYqAT1edepjevXSOvvTbF/WHl/ZkPhbPqtUlJ87XKUfM0CEN+amtSSZtbWnr04atHVq/db82vNGhN9pHl5HMbazUyoXTtHJhk45b2KQF06rI0gEAgKKaXV+pdy6t1DuXpjKig7GENm7v1PrXO/TE1g49+cZ+dQ3E9NCmvXpo015JqU7jx7SkAuyVC5u0rKVB1aH8hBmDsYSefGO/7ntqh377zK5Mw9RZdWF9+qwj9P5jD5FlWZ4+Lz2epelJO8/u6HR2IXli+hP4S+zlbcED6g984ANqb2/Xl770Je3atUtLlizRAw88oPnzvdt170CB9LMiViLdiZ5JdxNc6rH509maN61K3/vwCm3e26u7H92qXzy5Q5t29+iLv3pekrRgWpVOOqxZJx46TQubqzWrPqxp1WOPnLBtW92Dce3uGtSurgG90d6vTbu79dKuHr2yp0f90ZHnwixLOnJWnY5b0KgVC5q0YkGjZteXwOEYAABQUsJBv044dJpOOHSapFQztBd3deuJ1zv0xOsdWr+1Q/v7Y/rblnb9bUt75vvmT6vKdBJ/08wazWmo1Oz6sKbXhBTwj53NHowl1No5oF1dg9q4vVN/3dymDW/sVzQ+NHXk2HkN+ujJC3X2klkKjnM7pcK8Fn++tUvxRHLcn5tXxNJvhhBQ5+CTn/ykPvnJTxbjrhxhfpnjY4wY8iLzLthbPDh/OheHzajRv563RJ9edYTu3bBNv39+t57Z0aWt7f3a2r5N9zy+LXPdioBPs+rCCvqtEaNP9vdHRwXNw4UCPi1radBx6eD52PmNnh1HBgAAylfA79PSuQ1aOrdBl7/tUNm2rc17e/XE1g6tfz1VjbezM5VceKO9Xw++sGfE9/ssaVpNKDVyLT2y0bKkjr6o9vePnWWeVRfW2w5v1sUnzNeyloYiPEp3OLS5WrWhgHoicb26t1dHznZvT6nJSKSTj6V2gtE7PfFdzDStSJRAhjqZtPVcmWSoD1RfFdTH3r5IH3v7IvUMxvT4lg793+Y2Pb1tv1q7BrWvJ6JoPKltHeN3/WuoCmpWXVhzG1Pvyi6eXavFs+q0YFqV599VBAAAOJBlWTp8Zq0On1mbmfvc0RfVpt3d2rSrR5t2d+u1fX3a3TWoPd2Diift9MzssVVV+DW7PqzDZtTo5MOaddKiZi2aXl2Wx+B8PktLDqnX37a065ntnZ4PqE3DXTLUGCWQDqgP7MrsRVva+tQTiSsc9OlNM8u3C1RtOKgzjpqpM44a6kYfjSe1p3tQu7sHlUjaI+Yc14YDml1fqcqK0jtzDgAAkI2m6gqdtCgVDA+XSNpq741ob09EsURSSdtOjWdL2mqsDmp2XaXqKgNlGTyP5y0tDamAekeXLjze6dVMTZySb4wnmH5WxJPeL/k25d5L5tSTUT1ARcCnlqYqtTR5sS8pAACAs/w+SzPqwppRF3Z6KZ7xlhJqTBYv0ZJvIqY8KKUu38/tTJV7H10m56cBAAAAt1qaPjP+8u6eEc3ZvKhUm5IRUOdBKZ2h3rKvT5J0xMxah1cCAAAAlLc59WFVV/gVT9oT9vHxglJtSkZAnQfBEhqbtaWtV5K0sLna4ZUAAAAA5c2yLC2cnnpdvmVfr8OrmZpSbUpGQJ0HQyXf3i7DGIwltGP/gCTp0Onl25AMAAAAcItDm1Ovy7e09Tm8kqkx/aYIqDFKINOUzNsZ6m0d/bJtqTYUUHNNhdPLAQAAAMqeqRx9fZ/HA2qTofZ5O2Y6EAF1HpiA2utjs0wZyaFlOusPAAAAcJtDTcl3m9dLvslQYxyBTFMyb5d8v5Z+14tybwAAAMAdFqVfm2/xeIaapmQYV6mMzXo9fS6DhmQAAACAOyxIvzZv74uqqz/m8GpyZxo4k6HGKIES6fI9vOQbAAAAgPNqQgHNrAtJ8nbZd5ySb4wnWCJdvk3nQNNJEAAAAIDzMp2+PVz2bap5KfnGKKXQ5Xt/X1Sd6RKSBc1VDq8GAAAAgGFmUb/u4dFZcUq+MR5/pimZdwNqUz4ypz6sqoqAw6sBAAAAYBza7P1O35R8Y1zBEhibRYdvAAAAwJ1KodN3jC7fGE+my7eHx2bR4RsAAABwJ/Ma/fW2PiU9WhVLhhrjypyh9nCGmg7fAAAAgDvNbaxU0G8pEk+qtWvA6eXkhDPUGFfAN9SUzLa9GVSToQYAAADcKeD3aV5TqnGwVxuT0eUb4zIl35I3G5Mlkra2tvdLGjqfAQAAAMA9DvX4OWpzPJYMNUYJDHtWeHF01s79A4rGk6oI+DSnodLp5QAAAAA4gDmaaY5qeo1p4Oy3vBcvTYSAOg+Cw+oWYgnvNSYz7fcXTKvKjAADAAAA4B5Do7M8mqE2TclKLAItsYfjjMCwZ4UXG5OZspFDmyn3BgAAANzI6yXfCZqSYTzDk7peLPk2GWo6fAMAAADuZDLUrV0DGowlHF5N9phDjXFZlpU5C+DFWdR0+AYAAADcram6QnXhgGxb2truvSw1c6gxIfPE8HTJNx2+AQAAAFeyLMvTZd9DTckcXkieEVDniXlieK0pWX80rl1dg5KkRZR8AwAAAK7l5U7fppKXkm+MyTwxvHaG2pR7N1YF1VBV4fBqAAAAAIzHy52+aUqGCXm15JtybwAAAMAbvF3yzRlqTGAoQ+2tkm/zy0hDMgAAAMDdzGv2Lft6ZdveSuSZxCMl3xjT0Blqbz2xX2dkFgAAAOAJC5urZVlS92BcHX1Rp5eTlRgl35jIUMm3tzLU5gz1oWSoAQAAAFcLB/2aU18paeh1vFckkpR8YwKmdCHhsaZkOzsHJEktTVUOrwQAAADAwbQ0pQJq8zreKyj5xoQyJd8eCqgHYwm19aZKRQ5pqHR4NQAAAAAOZk6DNwNqmpJhQl4s+Tbzp6sq/KqvDDq8GgAAAAAHYxJhrR4LqOOZM9TeSUBOBgF1nvjTP0kvNSUzv4RzGiplWSX2VhEAAABQguZkAupBh1eSHVPyTYYaY/J7cGzWzmEBNQAAAAD3m+PZDHW65LvEItASezjO8aVLF7zUlCyToa4PO7wSAAAAAJNhXrt77Qx1pimZw+vIt1J7PI7x4hzqXekyETLUAAAAgDfMTr927xmMq2cw5vBqJi/TlKzEItASezjO8WJTstYuSr4BAAAAL6kJBTINhU2TYS8Yakrm8ELyjIA6T3weHJs1dIaakm8AAADAK7w4Oos51JiQ1zLUtm1nzlAzgxoAAADwjkPSCTEvNSbLNCUjoMZYzDstXmlKtr8/psFY6kk9i6ZkAAAAgGd4rdN3MmnLhEkE1BiT15qSmV++6bUhhQJ+h1cDAAAAYLK8Nos6Nmy0MCXfGJPXSr53MjILAAAA8KTZHhudFR+WdCRDjTH5PdaUbFcnHb4BAAAALzI9kHZ1eSSgThJQ4yCGzlB7I0Pd2sUMagAAAMCLzGv43V2DnujhNLyKl5JvjGmo5Nv9T2hp+MgsAmoAAADAS2bUhuT3WYolbLX1RpxezkGZDLXPIqDGOLzalOwQZlADAAAAnhLw+zSrzjvnqGPpDHXAX3rhZ+k9IodkMtReKfkmQw0AAAB41hwPzaI2VbzBUktPi4A6b/y+1JPECxnqaDypvT2p0hACagAAAMB7vDSL2pR8B0qtI5kIqPPGS03J9nQPyralioBP06ornF4OAAAAgCx5aRa1qeL1k6HGeLzUlKx12Axqyyq9JzUAAABQ6ubUe7Hku/TCz9J7RA7xeWgOdWsX56cBAAAAL8tkqD0wi3qoKVnpJfMIqPNkKEPt/pJvUxZCQA0AAAB4k5dKvs2s7AAZ6uzcdNNNOumkk1RVVaWGhoZC3pXjvDQ2ixnUAAAAgLeZ1/IdfVENRBMOr2ZiJkYiQ52laDSqCy64QJ/4xCcKeTeu4KWmZMygBgAAALytLhxQTSggyf1l36YpWaAEm5IFCnnja9askSTdddddhbwbVxiaQ+3+DDUzqAEAAABvsyxLcxrCemVPr1o7B7Roeo3TSxpXvIQz1AUNqLMViUQUiUQyn3d3d0uSYrGYYrGYU8s6qFgslgmoo/GEq9cqDZ2zmFEddP1a88k81nJ6zF7EPnkD++R+7JE3sE/ewD65X7nu0ey6VEC9vb1PsQUNTi9nXIPR1L740xOG3L5P2azPVQH1zTffnMlqD7d27VpVVVU5sKLJM0+OvW0deuCBBxxezfgG4lJvJLXtzz72sDb5HV6QA9atW+f0EjAJ7JM3sE/uxx55A/vkDeyT+5XbHsW6fJJ8+suG51S95xmnlzOuje2WJL96u7skuX+f+vv7J33drAPqG2+8ccygd7j169drxYoV2d60rrvuOq1evTrzeXd3t1paWrRq1SrV1dVlfXvFEovF9Ny9f5Ak1dU36NxzVzq8ovG9vLtHWv83NVYFdd67Vzm9nKKKxWJat26dzjzzTAWDQaeXg3GwT97APrkfe+QN7JM3sE/uV657tPXPW/ToQ5tVPWOuzj13idPLGVfy2V3SK8+pualRUpvr98lUSk9G1gH11VdfrQsvvHDC6yxYsCDbm5UkhUIhhUKhUZcHg0FX/8CloTPUCdt29Vr39qXKF+Y0VLp6nYXkhecT2CevYJ/cjz3yBvbJG9gn9yu3PWqZVi1J2t0dcfXjtq1UL+xgIFUe6/Z9ymZtWQfUzc3Nam5uzvbbSt7QHGp3NyXbyQxqAAAAoCR4ZRY1TclytG3bNnV0dGjbtm1KJBLauHGjJOmwww5TTY17u9Dlwm+lniSxhLvHZg2NzCKgBgAAALzskExAPSDbtmVZ7gxYzSSkIGOzsnP99dfr7rvvznx+zDHHSJL+9Kc/6ZRTTinkXRedPz3R2+1js3ZlRmYxgxoAAADwspl1YVmWFIkn1dEX1bSa0cdn3SAzh9oETSWkoI/orrvukm3boz5KLZiWhn6Qbi/5bqXkGwAAACgJFQGfZtSmgmg3l33H0jGSvwQz1KX3FoFDhjLU7i753pnOUM+uJ6AGAAAAvM68rjev890onj4WW4ol3wTUeeLzQFOyRNLW7u7UO1ecoQYAAAC8b/g5arcyx2Ip+ca4TMM6Nzcla+uNKJG05bOk6bXuPF8BAAAAYPJm1ad6I5nEmRuVcpdvAuo8yYzNcnFTsn09EUlSc02oJM8vAAAAAOXGnKE2r/XdyByLpeQb4/J5KKCeUUd2GgAAACgF5rW9mwNqmpLhoDIZaheXfO/tSZWBTHdpO30AAAAA2Zlekyr5Nq/13cjESJyhxrhMQJ20paRLs9TmXSvOTwMAAAClYbonSr5T8REl3xjX8PP1MZeOzsqUfNeGHV4JAAAAgHwwZ6j398cUjbszDjFnqGlKhnENf7Ml4dIM9V4y1AAAAEBJqa8MKpgOVNt63ZmljmfOUJde+Fl6j8ghIzLULp1FTck3AAAAUFp8PkvNNe4u+zbxUYCSb4xneEDt1sZk+3pNyTcBNQAAAFAq3D46KzM2i5JvjMeyhtrAu3F0lm3b2ttNhhoAAAAoNeb1/V7XBtTpDDVdvjERU8IQc2GGui+a0EAsIYmAGgAAACglbu/0nRmbRck3JmKeIG5sSmZ+uWpCAVVVBBxeDQAAAIB8mZ6e4rOv152zqOOcocZkmDbwbmxKtrc79ctFdhoAAAAoLZmS7253ZqhjmZJvAmpMIJBuAx934Rxq05Bseg0BNQAAAFBKzGv8fa4dm2VKvksv/Cy9R+Qg845L3IUZ6szIrDoCagAAAKCUzKhz+RnqdIaaLt+YUNDFTclMxz8y1AAAAEBpMa/x9/ZEZNvuS+6Rocak+NNPEDc3JeMMNQAAAFBazGv8aDyp7sG4w6sZzWSo/WSoMRE3NyUzAfUMAmoAAACgpISDftWFU5N83Fj2beKjIF2+MRHzBHFjU7K9ZKgBAACAkpXp9N3jvtFZiXR8RJdvTCjgT3f5dnGGmoAaAAAAKD3mdb4bM9RDc6hLL/wsvUfkIH8mQ+2ugDqRtNXRZ0q+ww6vBgAAAEC+mdf5bgyoYyZDTck3JhLMjM1yV8l3e29ESVvyWVJTdYXTywEAAACQZ57IUFPyjYmYd1xiLstQm/PT02pCmSw6AAAAgNLh5oA6Rsk3JmPoDLW7MtT7eunwDQAAAJQy81rfvPZ3E5qSYVJMhtptTcn2ddOQDAAAAChlmS7f3e4LqE18FCSgxkQCLm1KZt6lml5DQA0AAACUoukuzlCbpmSlePyUgDqPMiXfLptDbc5RzKgjoAYAAABKkeny3dEXVcxlR1AZm4VJyTQlc1nJtxnuToYaAAAAKE0NlcFMPNLmoiy1bduZCl5KvjEht47NMhnq6cygBgAAAEqSz2epucZ9nb4Tw47DkqHGhIZKvt2WoabkGwAAACh15vW+mxqTDY+N6PKNCfnd2uW7h6ZkAAAAQKkzr/fd1Jhs+HnuAE3JMJFgpsu3e0q++yJx9UcTkhibBQAAAJSyTKdvF5V8D082ElBjQqbk201NyUy5d3WFX9WhgMOrAQAAAFAoM8ws6nRTYjcYXvLN2CxMKDOH2kVNyYYakpGdBgAAAEqZKzPU6erdoN+SZRFQYwKZgNpFTckIqAEAAIDy4MqAOl29W4rZaYmAOq9M1zo3naE25R4zGJkFAAAAlDQzJneviwJq05QsWIIjsyQC6rwyc9Xc1OWbDDUAAABQHmYMy1DbtjtiElO9W4ojsyQC6rwyTxI3NSUjoAYAAADKg3nNH4kn1ROJO7yaFJNsNA2cS01pPiqHBNNPEneVfBNQAwAAAOUgHPSrNpya7LO32x1l35mmZJyhxsH4aUoGAAAAwEFua0xmqnf9lHzjYFw5Nqs39Ys0g4AaAAAAKHmZc9S97gio4zQlw2QFTZdvl5yhTiRttfeSoQYAAADKRabTd/egwytJSdCUDJNlunzHXFLy3d4XUdKWfJY0rZqAGgAAACh102vclaE2sVGADDUOxu+ykm9zbmJaTahkB6kDAAAAGDKjzl1nqE1sRIYaB5Up+XZJhtp0+G6uITsNAAAAlINMhtolAbVpShYo0QQfAXUemTIGt2So23ujkqTmmgqHVwIAAACgGKalX/u3pWMBp5mxWcyhxkEFXJah7uhLl3xXE1ADAAAA5cD0TjKxgNNMU7IgJd84GBNQx1zS5bu9L/WuVBMNyQAAAICy0JTOUHf0RWXbzsclQyXfpRl6luajcog5F5BIuqPkuyNd5jGNkm8AAACgLJjq1FjCVk8k7vBqhjUl4ww1DmboDLXz7wRJ0v5+k6EmoAYAAADKQTjoV1WFX5K0v8/5c9Qx5lBjsjIl3y7JUA+VfBNQAwAAAOXCvP5vd0FAnUjQlAyTFHRZhrqDgBoAAAAoO+b1f4cLOn2bhs1BSr6zs3XrVl122WVauHChKisrtWjRIt1www2KRp3f1EJxW1My8wtEQA0AAACUj0xA7YIMdaYpWYlmqAOFuuFNmzYpmUzq9ttv12GHHabnn39eV1xxhfr6+nTrrbcW6m4d5XdRU7JIPJFpQsDYLAAAAKB8uKnku9SbkhUsoD777LN19tlnZz4/9NBD9fLLL+u2224r2YDazFZzQ8n3/r6YpFSQXxcOOrwaAAAAAMUyLZOhdn4Wdak3JStYQD2Wrq4uNTU1jfv1SCSiSGRo07u7uyVJsVhMsVis4OvLVWZtyUTq82TS8fXu6eqTJDVWBZVIxJVIOLocVzB74vTeYGLskzewT+7HHnkD++QN7JP7sUcj1YdTYV5bz6DjP5NYLFU165N39imb9Vl2kaZ9v/baazr22GP1la98RZdffvmY17nxxhu1Zs2aUZffc889qqqqKvQSp6wzIt3wVEA+y9bXTnA2gt3Uaem2l/yaXWnr88uIpgEAAIBy8dheSz95za8jG5K68khnj6P++g2f/tjq06mzkzpvgfNHYyejv79fF110kbq6ulRXVzfhdbPOUI8X9A63fv16rVixIvN5a2urzj77bF1wwQXjBtOSdN1112n16tWZz7u7u9XS0qJVq1Yd9IE4KRaLad26dTr1lHfohqf+qqRt6ZxzzpFlOVfWEH9ml/TSc5o/q0nnnnucY+twE7NPZ555poJByuDdin3yBvbJ/dgjb2CfvIF9cj/2aKTQpr36yWsbFahu0LnnnuDoWp5+YJPUuk2HH3aozjx1oSf2yVRKT0bWAfXVV1+tCy+8cMLrLFiwIPP31tZWnXrqqTrxxBN1xx13TPh9oVBIoVBo1OXBYNDVP3CjMjTU/MvnDzjaya5rMJWVnlYb9sTPrpi88nwqd+yTN7BP7sceeQP75A3sk/uxRykz6lPVvR19Mcd/HkmlkoyhYCCzFrfvUzZryzqgbm5uVnNz86Suu3PnTp166qlavny57rzzTvl8pdkq3Rh+0D6etBXwO7cW0yKfDt8AAABAeZnmorFZZg51oERjwYI1JWttbdUpp5yiefPm6dZbb9W+ffsyX5s1a1ah7tZRw4eVxxJJhYPORdSmRT4zqAEAAIDyYmKAgVhCA9GEKiuci0syY7Po8p2dtWvXavPmzdq8ebPmzp074mtF6oNWdMNLvJ0enWVa5JOhBgAAAMpLTSigCr9P0URS7X0Rza1wrsGziYuCJRpQFyzv/pGPfES2bY/5UaqGzyo3pQ1OMXOoGwmoAQAAgLJiWZYaq1PngE1c4BQzh9pfoiXfpfmoHGJZVuadl3jS2Zbw7ekMNSXfAAAAQPlpqk41ezZxgVNMyTcZakyKOWzvfMm3aUo2ums6AAAAgNLmlsZkpd6UrDQflYPMYftYwrkMdSJpq3MgVdpBhhoAAAAoP01uCahLvCkZAXWeBdONyZw8Q72/PypzVL2xyr3z3QAAAAAUhgmo250OqJM0JUMW/OnOZE6WfJt3oRqqgiM6jwMAAAAoD5mS715nA2pTuUtTMkyKmUXtZFOy9l5mUAMAAADlrKnGJRlqMzbLR4Yak2AywjEXZKiZQQ0AAACUp6GmZA53+TZNyUq0crY0H5WDzGH7uINNyToYmQUAAACUNTM2y/GmZEmakiELgUzJt3MZalPW0cTILAAAAKAsuaYpWcKMzSKgxiRk5lA7GFBT8g0AAACUNxML9AzGFY07Vz1rmpIxhxqTEnRBybd5F6qRgBoAAAAoS/WVQZmk8P5+57LUCcZmIRuuaErWS4YaAAAAKGc+n6XGqnTZt4Ojs0xcRFMyTErABWOzzDtQNCUDAAAAypeJB5zMUGeaknGGGpNhutclXNGUjIAaAAAAKFduaEyWaUpGyTcmwxy2d6rk27Zt7TdNyWoIqAEAAIByZeKBjl7nZlHTlAxZcbopWfdAPNNhnAw1AAAAUL5MPODkLGqakiErmQy1QyXf7X2pd59qQgGFAn5H1gAAAADAeU3VIUnOlnybuIimZJiUgMMZ6g7OTwMAAADQ0NQfJzPUJi4K0pQMk2G61znVlIyGZAAAAAAk55uSJZO2TFjkJ6DGZDg9h9q8+8QMagAAAKC8OZ2hjg9LMlLyjUlxuikZJd8AAAAAJKmpxumAeigmoikZJsXxpmS96YCakVkAAABAWTNJtv39UUeOpA6v2mVsFibFnA1wLkOd6vLdVEVADQAAAJSzxnRMYNtSZ3/xs9TDY6IAZ6gxGaaUgaZkAAAAAJwU9PtUFw5Icqbs25yh9lmSj4Aak+GapmSUfAMAAABlb1qNc7Oo4yU+g1oioM47M19t+AH8YtqfyVCHHLl/AAAAAO6ROUftREBd4jOoJQLqvHMyQ23bduadJ8ZmAQAAAHByFrWJichQY9JMU7KEAxnq/mhCkXjqfjlDDQAAAMDJWdSmardUG5JJBNR5NzSHuvgZavNLEgr4VFXhL/r9AwAAAHCXJicD6kyGmoAak+TkHOrh5d6WVbpPWgAAAACT42TJd6YpWYnOoJYIqPNuKENd/JLvzAxqOnwDAAAA0ND0HxMrFFOmKRkZakyWk03J2nvp8A0AAABgiIkNTKxQTDQlQ9acbErWQYdvAAAAAMPQlKywCKjzLFPy7cAZavNL0lhFQA0AAABAahwWUNt2cWOUzBlqSr4xWZmmZA6cod7fb0q+g0W/bwAAAADu05ROtsWTtnoj8aLed6bLN03JMFlOjs3a3x+TJDWQoQYAAAAgqbLCr1AgFfZ1puOFYqEpGbLmd3BsVmc/Jd8AAAAARjLxgaloLRYTE/k5Q43JMucDnGhKZjLUjVWUfAMAAABIaUjHB/sdy1CXbthZuo/MIcF0htqJkm+ToabkGwAAAIBhMtSdRc5QZ5qSkaHGZJkMdbGbktm2nTkT0UhTMgAAAABpJj7YX+TRWXHmUCNbTo3N6o3EM/fJGWoAAAAARn1lOkM9UOSS7yRNyZAlv0Ml3yY7HQr4FA76i3rfAAAAANzL9FgqdpfvWMI0JSvdsLN0H5lDzPmAeJGbku2nwzcAAACAMTjV5ds0ag5yhhqTZTrYFTtDPTSDmvPTAAAAAIY41eU7ljlDTUCNSXKqKRkzqAEAAACMxbEu3zQlQ7YyY7OK3JTMdOyjwzcAAACA4TJdvos+NouSb2TJ71CX76GSbzLUAAAAAIaYGKGzj6Zk+Va6j8wh5t2XuGMl32SoAQAAAAwxJd89kXhRj6YmGJuFbJnzAUlbShYxS21mynGGGgAAAMBwdeFA5u9dRZxFTVMyZG34kyVWxNFZpuS7vpIMNQAAAIAhAb8vE1QXszGZOUMdoOQbkxUYduC+mKOz6PINAAAAYDyN1WYWdfEy1Jku3zQlw2QNf/elmI3JTMc+unwDAAAAOJBpTGamAxWDiYcYm4VJG37gvpiNyUzHPrp8AwAAADiQaV7cWdQMNU3JkCXLsuT3FXd0ViyRVE8kLomSbwAAAACjmTihmLOoY0lKvqfkPe95j+bNm6dwOKzZs2frkksuUWtrayHv0hXME6ZYLenNu0yWRVMyAAAAAKM1pDPUxT1DnW5KRsl3bk499VT97Gc/08svv6z77rtPr732ms4///xC3qUrmIA6UaQMtWlIVhcOZrLjAAAAAGCYDHVRu3yXQVOywMGvkrtrr7028/f58+fr85//vM477zzFYjEFg6WbSU29A5PIzF0rtKEZ1KX7MwUAAACQuwYnzlDTlCx/Ojo69OMf/1gnnXRSSQfT0tCh+3iR5lCbTn00JAMAAAAwlgYHzlCbeKiUm5IVNEMtSZ/73Of0rW99S/39/TrhhBP029/+dtzrRiIRRSKRzOfd3d2SpFgspliseO+kZMuszfxpyq4HI8VZd1vPoCSpPhxw9c/JaQfuE9yJffIG9sn92CNvYJ+8gX1yP/bo4GorUrnU/X3Rov2covFUQG3ZyRExndv3KZv1WbZtZ1WXfOONN2rNmjUTXmf9+vVasWKFJKmtrU0dHR164403tGbNGtXX1+u3v/2tLGv0uxTj3fY999yjqqqqbJbpqDVP+dURsXTtkrgW1Bb+/h7aael/tvm1ojmpSw4v3qguAAAAAN6wvVe69bmA6oK2/nVFoij3+bXn/Nraa+myIxJa2lSc47D50N/fr4suukhdXV2qq6ub8LpZB9RtbW1qa2ub8DoLFixQOBwedfmOHTvU0tKiRx99VCeeeOKor4+VoW5paVFbW9tBH4iTYrGY1q1bpzPPPFPBYFBnfO3/9EZHv356+XFaPr+x4Pd/y9pXdMcjW/XhE+fpn89dXPD786oD9wnuxD55A/vkfuyRN7BP3sA+uR97dHA7Owd0ylceUdBv6YUbzhgzwZlv7//uY3p2Z7du/9AxOu2I6Z7Zp+7ubjU3N08qoM665Lu5uVnNzc05LczE7sOD5uFCoZBCodCoy4PBoKt/4IZZZzCQKqewLX9R1t09mHqHaVpN2BM/J6d55flU7tgnb2Cf3I898gb2yRvYJ/djj8Y3vc6M9rUVs32qrij46V+lK74Vrhi5L27fp2zWVrCf4hNPPKEnnnhCb33rW9XY2KgtW7bo+uuv16JFi8bMTpcS0xa+aE3J0o0F6PINAAAAYCxVFX5V+H2KJpLa3x9VdagYAXW6KVkJj80qWJfvyspK/fKXv9Tpp5+uI444QpdeeqmWLFmihx9+eMwsdCkJptvCx4s0NssMZ6fLNwAAAICxWJZV9NFZmTnUJTw2q2BvSxx99NH64x//WKibdzXT5TuWKE6GuqvfzKEmoAYAAAAwtoaqoPb2RIoWUMfSGWo/GWpkw8xZSySLlaE2c6gp+QYAAAAwtmLPok6kM9SlPIeagLoAAr7UjzVWhIDatu3MO0yN1WSoAQAAAIytMVPyXZyA2sRDJj4qRaX7yBwUSL8DEy9CyXd/NKFo+n4aKslQAwAAABhbYyZDXawz1OmmZGSokY1iNiUz5RoVfp+qKvwFvz8AAAAA3lTsku9yaEpWuo/MQf7M2KzCB9SdmQ7fwaIMZwcAAADgTY1F7vJtmpIFaEqGbJiShmLMoR6aQc35aQAAAADjayx2UzJzhpqSb2Qj05SsKCXfQxlqAAAAABiPiRmKcYbatu1MPERTMmSlmE3JushQAwAAAJgEMxWoqwgZ6uEjhGlKhqwE0+/AFOMM9f7MyCwy1AAAAADGZ6YCFSNDPTwWoikZsuLPZKiL1+W7gQw1AAAAgAmYmKF7MDYig1wIIwJqmpIhG0Ff8ZqSZbp8M4MaAAAAwATMGWrblroGCpulHn78lYAaWTElDcVpSsYZagAAAAAHF/T7VBsKSCp8p+/hsZCfgBrZKGZTMrp8AwAAAJishmozi7qwAbWp1g36LVkWATWyEMiUfBc+Q21+EUzHPgAAAAAYT2YWdV+hS75TsVApZ6clAuqCCGS6fBchQ91nSr7JUAMAAACYmGlMVuiSb5NcDJbwDGqJgLoggkXq8p1I2uoejEuiyzcAAACAgzOJuGI1JQuU8AxqiYC6IIrVlGz4LwFdvgEAAAAczNAs6uI0JSvlGdQSAXVBBIo0Nsv8EtSGAyX/RAUAAAAwdUMl3wXOUJumZJyhRraK1ZSsk5FZAAAAALJgSr4L3+U73ZSMkm9ky2SLCz02y3TmY2QWAAAAgMkw04GK1eWbpmTIWrGakpmSbxqSAQAAAJiMonX5pikZcmXGZsUKXvKdeleJkVkAAAAAJmOo5LuwGWoTCwXIUCNbgUyGujhNyThDDQAAAGAyGoucoQ6SoUa2zLswBW9KNsAZagAAAACTZ2KHSDypwViiYPeTaUpGl29kq1gZarp8AwAAAMhGTSiQmUpUyCx1nDnUyFVFIPVjjdLlGwAAAICLWJaViR8K2ek7mkhlvysIqJGtcMAvSRqMcYYaAAAAgLuYTt+FnEVtYqFw0F+w+3ADAuoCCAdTP9ZCnkmQhnf5JqAGAAAAMDmm0/f+Anb6NrGQiY1KVWk/OodUVpgMdWED6qE51JR8AwAAAJicYsyiHkjHQpVkqJGtYpR8D0QTisRTt09ADQAAAGCyhmZRU/I9VQTUBWCeNAMFzFCbd5MCPks1oUDB7gcAAABAaRmaRU3J91SV9qNziClrSCRtxQrU6ducn26oqpBllfZsNwAAAAD5M9SUrPABNSXfyFpo2LswhTpHPTSDmnJvAAAAAJPXUJSS71QcFCKgRrZCAZ9M0rhQZd/76fANAAAAIAdDXb4L2ZSMM9TIkWVZmcZkkQI1JqPDNwAAAIBcUPKdPwTUBVLoWdRDJd9kqAEAAABMXmMRxmbRlAxTUuhO36bku6GaDDUAAACAyTMl310DMSWTdkHuYyigJkONHJjShkLNos6UfFeSoQYAAAAweabkO2lL3YOFKfs2cRAl38hJKBNQF6rk2zQlI0MNAAAAYPIqAj5VV6TilULNoh7q8l3aIWdpPzoHmbMChSr57sw0JSNDDQAAACA7Q43JCnOOeoCSb0xFJRlqAAAAAC41NIuaku+pIKAuEPNOTKHHZjVWk6EGAAAAkJ1Cd/qOkKHGVFQWsMt3MmmrayDd5ZsMNQAAAIAsmTiiUGeoB5hDjakIFXAOdfdgTKa7PV2+AQAAAGSrsYBnqOOJpOLpgIU51MhJuIBjs8y7SDWhgCoCbCEAAACA7DRmMtT5D6gH40MxECXfyEkhS77Nk76+knJvAAAAANlryJyhzn/J90B0KAYKlXgCsLQfnYPCBSz57sw0JCOgBgAAAJA9E0sUouR7MNOQzCfLsvJ++25CQF0g4UC6y3e8EAG1GZnF+WkAAAAA2RuaQ53/DLWJgUq93FsioC6Yyop0yXe0ECXfpsM3ATUAAACA7DVUFm4O9UC0PGZQSwTUBRMqYFOyTMk3I7MAAAAA5KCQc6gHyVBjqsLpw/eDBSj5Nk96MtQAAAAAcmEC6v5oIu/HVM0Z6lJvSCYRUBdMMUq+yVADAAAAyEVtOCBful9Yvsu+TQxkYqJSRkBdIKYp2fAZbPkyVPJNhhoAAABA9nw+a9jorPyWfZsYyMREpYyAukDMeYFIIeZQ95mmZGSoAQAAAOTGxBMmvsiX4WOzSl3pP0KHVFakfrQDBZxDzRlqAAAAALlqzIzOynOGOkbJd15FIhEtW7ZMlmVp48aNxbhLx4VMyXchAuoBzlADAAAAmBoTT5j4Il8yGWpKvvPjs5/9rObMmVOMu3INU/Kd76ZkkXhC/enbJEMNAAAAIFf1lYU5Q23mUIcYmzV1v/vd77R27Vrdeuuthb4rVzHlDfluSmY68Pl9lurCgbzeNgAAAIDykclQ57nLtxkdXFkGAXVBI7I9e/boiiuu0P3336+qqqqDXj8SiSgSiWQ+7+7uliTFYjHFYvnd5Hwyaxu+Rr9SgXQ0nlQkEpXP9KSfon1d/ZKk+sqA4vF4Xm6zXIy1T3Af9skb2Cf3Y4+8gX3yBvbJ/dij3NSFUwFve+9gXn92/ZHUbVX4R+6JV/Ypm/VZtm3bhViEbds699xzdfLJJ+uf//mftXXrVi1cuFBPP/20li1bNub33HjjjVqzZs2oy++5555JBeRuEklIn30i9X7Ffx4fVyhPb8682mXpWy/6NbPS1heW5f98NgAAAIDy8Nc9ln62xa8ljUldsTh/lbU/fc2nv+316dyWhM6aW5Bws6D6+/t10UUXqaurS3V1dRNeN+sM9XhB73Dr16/Xo48+qu7ubl133XWTvu3rrrtOq1evznze3d2tlpYWrVq16qAPxEmxWEzr1q3TmWeeqWAwVTaRSNr67BPrJEnvOO0MNVXn57zz71/YI734jOZOb9S55x6fl9ssF2PtE9yHffIG9sn92CNvYJ+8gX1yP/YoN9bzu/WzLc8qVNuU19jij794Ttq7S0vffKTOPXlB5nKv7JOplJ6MrAPqq6++WhdeeOGE11mwYIG+/OUv67HHHlMoFBrxtRUrVujiiy/W3XffPer7QqHQqOtLUjAYdPUP3Bi+zqCkCr9P0URSCfnytv6eSOqdo8bqkCd+Jm7kledTuWOfvIF9cj/2yBvYJ29gn9yPPcpOc12lpFSX73z+3KKJVFa6OjT2frh9n7JZW9YBdXNzs5qbmw96vW984xv68pe/nPm8tbVVZ511lu69916tXLky27v1pFAwFVDncxa16cDHyCwAAAAAUzE0hzq/Z5pN/FMOXb4L1pRs3rx5Iz6vqamRJC1atEhz584t1N26SmXQr57BeF5nUXelZ8Q1EFADAAAAmIJMQD0Qk23bsqz8NFI28U85dPkuyhzqcmVmUQ/G8nfAf39fKkPNDGoAAAAAU2GSdImkrZ5I/iYImfgnXAYBddEGGS9YsEAFaijuWuFg6v2KfGao96fLMRoJqAEAAABMQTjoVzjo02Asqc6+mOrC+amCNfGPiYdKWek/QgdVZjLU+QuoOzlDDQAAACBPTKLO9GrKB0q+kRehQpR891PyDQAAACA/GgoSUJdPyTcBdQGZd2Ty2eXbdOBrrCZDDQAAAGBqTOVrPjt9D2RKvgmoMQX5PkNt27Y6BzhDDQAAACA/ClnyzRlqTEk4z2eouwfjSiRTjd3qK8lQAwAAAJga0+l7f54y1MmkrUickm/kQb6bkpmGZJVBf1k8OQEAAAAUVmYWdZ4y1CaYlmhKhinK9xzqzPlpOnwDAAAAyIOGPJ+hHp5MLIckIAF1AYXyfIaaDt8AAAAA8infXb4H46nYJ+i35PdZeblNNyOgLqB8d/mmwzcAAACAfMp3l++BaPl0+JYIqAsq3yXfZKgBAAAA5FPeM9RlNINaIqAuqHAgXfIdz1fJN2eoAQAAAORPvjPUJvYph5FZEgF1QVVWpDPU0fx2+WYGNQAAAIB8MLFFbySuaHzqlbUm9imHDt8SAXVBZUq+85yhpuQbAAAAQD7UVQZlpXuHdQ5Mvex7KENNQI0pCgXyPTbLZKgp+QYAAAAwdX6fpfrK/JV9Z85QBwioMUWm5HsgbyXfJkNNQA0AAAAgPxryGFBnunxXEFBjivLflIwu3wAAAADyK5+dvjMl34HyCDXL41E6xJwbiOSt5Nt0+SagBgAAAJAfQ52+8xBQMzYL+ZIp+Y5NPUMdSyTVG4lL4gw1AAAAgPxpzGSo83GGmi7fyJNwpinZ1APq/X2pd4t8llQXJqAGAAAAkB+N1emAui8fGWrmUCNPzJNoIJaQbdtTuq2OYTOofT5rymsDAAAAAElqSgfUHXkIqDNNychQY6pMZzvblqKJqZ2j7uhNPbnNkx0AAAAA8iGfATVzqJE3w2evTXUWdXsfATUAAACA/DMxRnteSr5pSoY8CfotmersqZ6jNi3sCagBAAAA5JOJMfIxNmuAM9TIF8uyMt3tphpQt1PyDQAAAKAAMiXfvVMPqCN0+UY+hTMB9RTPUKfLL6YRUAMAAADIIxNj9ETiisSnlgik5Bt5ZZ5IU51FnenyTUANAAAAII/qwkH502dVO6c4i3qo5JuAGnlgzg5MteSbLt8AAAAACsHns9RYFZQ0dNQ0V8yhRl6F83SGeqjkOzTlNQEAAADAcPlqTDZIhhr5lK+mZEMl38EprwkAAAAAhmusys/oLHOGmqZkyIt8NCWzbVv7yVADAAAAKJBpNabTd2RKt0OGGnmVjzPU3QNxxZO2JDLUAAAAAPIvMzprik3JOEONvMpHl29T7l0TCigUKI93egAAAAAUT1O65LujL/cMtW3bmbiHkm/kRT5Kvs2Tmg7fAAAAAAohk6GewhnqWMJWurBWIQJq5EM+Sr5N63pmUAMAAAAohKaaVK+mqQTUg/GhmIeSb+RFPrp8m9b10wioAQAAABTAUMn3FALqaCrm8VlShb88Qs3yeJQOysccatO6npJvAAAAAIWQj5Jvc8w1HPTLsqy8rMvtCKgLLC9nqHsJqAEAAAAUjhmbtb8/pqQ5CJ0lU/JdLiOzJALqgstnl28CagAAAACF0FCVGs+bSNrqHsxtdNZAtLw6fEsE1AWXj6ZkHZR8AwAAACigUMCv2lBA0tCR02yZmCdUJg3JJALqggun50YPxqcyNisdUFcRUAMAAAAojCZT9p1rQJ2OeUwMVA4IqAussiIdUEfzkKGuIaAGAAAAUBiN6QRerhnqTMl3BQE18iRT8h2fekDN2CwAAAAAhWLijVwz1JFMU7LyCTPL55E6JFPyneMZ6sFYQv3pd3oaCagBAAAAFIjp2TTVM9SUfCNvwhVT6/JtstNBv5VpEgAAAAAA+TbVWdSm5DtMyTfyZShDnVtTsuEdvstlODoAAACA4muaYsk3TcmQd1Mdm2XKLRrp8A0AAACggPJW8s0ZauRLpst3jgG1eXdoGh2+AQAAABTQlEu+0zFPZZAMNfLElDvEErbiiezLvslQAwAAACiGqQbUkfQx1zABNfJl+JPJnCnIRkdfRBIjswAAAAAU1rTqkKQ8NCWj5Bv5EgoM/YhzKfvu6ItJkprST24AAAAAKITG6qCkVOm2CY6zMZiZQ02GGnni81mZoDq3gDqVoW5KP7kBAAAAoBBqQgFV+FOxS0d/9lnqoaZkBNTIo6k0JttPhhoAAABAEViWNXSOujf7gHogfYaapmTIq6nMom7PZKg5Qw0AAACgsBpNQE2GelIIqItgKrOoTUMAAmoAAAAAhTYt0+k7kvX3RphDnV8LFiyQZVkjPj7/+c8X8i5dybxDM5BlQJ1I2uocMCXfBNQAAAAACsvEHe05lXyX3xzqQKHv4Etf+pKuuOKKzOc1NTWFvkvXMQF1tiXfnf1R2Xbq741VNCUDAAAAUFgmoN6fU8l3Kt4JEVDnT21trWbNmlXou3G1XEu+Tbl3fWVQAX/5lE0AAAAAcEamKVkOs6gHy7Dku+AB9X/8x3/oX//1X9XS0qILLrhAn/nMZ1RRMXb5ciQSUSQyVKvf3d0tSYrFYorFYoVeas7M2sZboxmb1TsYzepx7O3ulyQ1VQVd/fi94mD7BHdgn7yBfXI/9sgb2CdvYJ/cjz3Kn/pwKrvc1hPJ+udpSr6Dlj3m93pln7JZn2Xbpqg4/772ta/p2GOPVWNjo5544gldd911eu9736vvfe97Y17/xhtv1Jo1a0Zdfs8996iqqqpQyyy477/s0zMdPp2/MKG3zZr8j3tju6U7X/FrYa2ta5Zk39AMAAAAALJhYpBDa219KssYZPVjfiVsSzceG1ejh6f+9vf366KLLlJXV5fq6uomvG7WAfV4Qe9w69ev14oVK0Zdft999+n8889XW1ubpk2bNurrY2WoW1pa1NbWdtAH4qRYLKZ169bpzDPPVDA4+qzzp3/xnH79zC59/uw36bKTF0z6du95Yrtu+M1LOmPxdN128TF5XHF5Otg+wR3YJ29gn9yPPfIG9skb2Cf3Y4/y5/HXO/Sh72/Qoc1VevBTb5309yWSthbfsC51G58/Zcymyl7Zp+7ubjU3N08qoM665Pvqq6/WhRdeOOF1FixYMOblJ5xwgiRp8+bNYwbUoVBIodDotzKCwaCrf+DGeOusCqUuiyaU1ePoHky9I9RcG/bE4/cKrzyfyh375A3sk/uxR97APnkD++R+7NHUzaxPVQZ39Mey+llGI/HM3+uqwgpO0JjM7fuUzdqyDqibm5vV3Nyc7bdJkp5++mlJ0uzZs3P6fq/KtSlZe7oRQCMjswAAAAAUgYk9ugZiiieSk26OPDzWMT2kykHBmpL97W9/02OPPaZTTz1V9fX1Wr9+va699lq95z3v0bx58wp1t66U69gs01lvGgE1AAAAgCJorKqQZUm2LXUOxNRcM7nD0IPxVKxTEfDJ57MKuURXKVhAHQqFdO+992rNmjWKRCKaP3++rrjiCn32s58t1F26lhlsPpBlhtrMfhvr/AEAAAAA5JvfZ6mhMqj9/TF19EUnHVAPRFOxTmUZzaCWChhQH3vssXrssccKdfOeYkq+I9mWfPdS8g0AAACguBqrKzIB9WSV4wxqSSqvR+uQTMl3PLuAmpJvAAAAAMVm4o9sAupI3ATU5ZWhJqAuAvOkMmUQk2Hbtjoo+QYAAABQZE05BNQD0dQZ6nIr+SagLoJcmpL1RROKpg/2E1ADAAAAKJZcAmpT8h0ioEa+hdNt47Mp+e5In58OB32qqijYUXcAAAAAGCGngNqUfJfRyCyJgLooKiuyL/k25d7TqifXVQ8AAAAA8qEpHYNkV/Kd7vJdQYYaeWZKviPxyZd8d/RFJEmN1cGCrAkAAAAAxtKUjkHa0zHJZJg51OEAATXyzDypBrMYm7Wra1CSNLM2XJA1AQAAAMBYTAyyOx2TTEaEsVkolMqK1I95IJuAujP15J3dQEANAAAAoHhmN1RKSiX5bNue1PdQ8o2CCeWQoW7tGpAkza6vLMiaAAAAAGAss+tTSb3+aELdA/FJfY9pShai5Bv5Nnxs1mTf4TEZ6jlkqAEAAAAUUTjoz3T6Nom+gzFzqMOMzUK+VYeGnlR9k+z0vSv9xJ1DhhoAAABAkZnE3q5JBtT90VQmu4qSb+RbVUVA1ekn1r6eg3fKs20705RsTgMBNQAAAIDiMkdPWzsn15hsbzrOmVFbXmN/CaiLZGb95DvldfRFFYknZVnSzDpKvgEAAAAU15z67DLUJs4xcU+5IKAuEtN6fk/3wQNqk51urgmpIsAWAQAAACgu0+l7shlqE+eU29hforUimVU/+YC6tdOcny6vJyMAAAAAdzCdvk1sMpFoPKn2vqikobinXBBQF8mMutRZgt1ZZKgZmQUAAADACXOGzaI+mL09qetU+H1qrAoWdF1uQ0BdJLPqsshQmxnUjMwCAAAA4IDZw3pAJZMTj/41Mc6MupAsyyr42tyEgLpIhgLqg3f5NucUGJkFAAAAwAkz68KyLCmaGCrnHo+JcWaVYUNlAuoimVE3+S7fuzrJUAMAAABwTtDvy4zAOlin70yHbwJqFIo5nL+35+AlE5yhBgAAAOC0yc6iznT4JqBGoZh3d2IJW/v7xy+ZSCTtTOOyOWSoAQAAADjExCMHy1CbgHpWfajga3IbAuoiCfp9aq6pkDRxp+99PRElkrb8PkszymyGGwAAAAD3MBnqg3X63k2GGsVgnmB7J2hMZjp8z6wNye8rrw55AAAAANxjsrOoTVMyAmoUlHmCTZSh3pU+nzC7gfPTAAAAAJwzmVnUtm0PlXwTUKOQZk6i07c5n2DeDQIAAAAAJ5iYZNcEGeqeSFz90YQkMtQoMPOOzd6e8QPqzAxqMtQAAAAAHGRikj3pPk9j2ZNOFtaFA6qs8BdtbW5BQF1EM+tSXe/IUAMAAABwu+aakAI+S4mkPW5S0JyfnlWm8QsBdRHNrDdnqCdqSsYMagAAAADO8/usTBn3eLOoy7nDt0RAXVSZku8Jm5KlMtTMoAYAAADgNBOXjNfpew8BNYrFPMna+6KKxBOjvh6NJ7WvN5W9JkMNAAAAwGlDs6gnDqjLscO3REBdVI1VQVUEUj/ysWZR7+kelG1LFQGfplVXFHt5AAAAADCCaUw2bsl3l8lQh4q2JjchoC4iy7IyT7SxDvXvypyfDsvns4q6NgAAAAA4kCn5PliGmpJvFMXMWjOLenSGmg7fAAAAANxkqOSbLt9jIaAuMtPpe88YjckyM6g5Pw0AAADABUyyb6yS70TSzvSAIkONojAZ6rEC6kyGmg7fAAAAAFzAnKFu642Maqzc1htRImnL77PUXMMZahTBrPrUE233BBlqOnwDAAAAcIPGqqBC6cbKew44tmqShNNrQvKXaQ8oAuoiM6UQE2WomUENAAAAwA0syxrq9H1AY7Jy7/AtEVAX3VBAPVZTMjLUAAAAANzFnKM+sNN3uXf4lgioi84MPN/dNSjbtjOXD8YS6uiLSqIpGQAAAAD3MAm/AxuTlXuHb4mAuujMuzcDsYR6IvHM5SY7XVXhV11lwJG1AQAAAMCBxptFvZsMNQF1sVVW+FUXTgXMe4bNctvVOTSD2rLK80A/AAAAAPfJzKIelaEmoCagdoApiRje6Xtnp2lIRrk3AAAAAPcwY31bu8YOqGcRUKOYxmpMNjQyq3yfjAAAAADcx/R42rm/f0QfKLp8E1A74sDRWfFEUr/euFOSdMSsOsfWBQAAAAAHmtdUpcqgX92DcT300l5J0kA0oe7BVE+omWWcFCSgdsDwTt+SdN9TO7SlrU9N1RX6wHEtTi4NAAAAAEaorPDrIycvkCTduvZlJZN2JjlYVeFXbah8myoTUDvAlETs6R7UYCyh//rDq5KkT56ySDVl/GQEAAAA4E4ff/uhqg0HtGl3j37zbOuIDt/l3FSZgNoBw0u+73l8m1q7BjW7PqwPnTDf4ZUBAAAAwGgNVRX6+NsPlSR9dd0r2rE/1VS5nM9PSwTUjjBdvrfvH9C3/7RZkvSPpx+ucNDv5LIAAAAAYFwfPXmhmmsq9EZ7v25/+DVJ5d3hWyKgdoTJUHf0RdXeF9WCaVU6f/lch1cFAAAAAOOrDgV01amHSZJe3dsrqbxnUEsE1I5orgnJ7xs6Z3DtmW9S0M9WAAAAAHC3i1bO05xhXb0JqFF0fp+l6TWpswaLZ9Xq3UvnOLwiAAAAADi4UMCva854U+bzWWU8MksioHbMkkPqZFnS585eLJ+vfLviAQAAAPCWvzv2EB0xs1Y+K5UgLGfMaHLIVy5Ypt3dgzqizJ+AAAAAALwl4PfpZx8/Ubu7B3Xo9Bqnl+MoAmqH1FcFVV8VdHoZAAAAAJA14pmUgpd8/+///q9WrlypyspKNTc36+/+7u8KfZcAAAAAABRcQTPU9913n6644gr927/9m0477TTZtq3nnnuukHcJAAAAAEBRFCygjsfj+tSnPqVbbrlFl112WebyI444olB3CQAAAABA0RSs5Pupp57Szp075fP5dMwxx2j27Nk655xz9MILLxTqLgEAAAAAKJqCZai3bNkiSbrxxhv11a9+VQsWLNBXvvIVveMd79Arr7yipqamUd8TiUQUiUQyn3d3d0uSYrGYYrFYoZY6ZWZtbl4j2CevYJ+8gX1yP/bIG9gnb2Cf3I898gav7FM267Ns27azufEbb7xRa9asmfA669ev1yuvvKKLL75Yt99+uz72sY9JSgXMc+fO1Ze//GV9/OMfn/Rt33PPPaqqqspmmQAAAAAAZK2/v18XXXSRurq6VFdXN+F1sw6o29ra1NbWNuF1FixYoL/97W867bTT9Mgjj+itb31r5msrV67UGWecoZtuumnU942VoW5paVFbW9tBH4iTYrGY1q1bpzPPPFPBIK3j3Yp98gb2yRvYJ/djj7yBffIG9sn92CNv8Mo+dXd3q7m5eVIBddYl383NzWpubj7o9ZYvX65QKKSXX345E1DHYjFt3bpV8+fPH/N7QqGQQqHQqMuDwaCrf+CGV9ZZ7tgnb2CfvIF9cj/2yBvYJ29gn9yPPfIGt+9TNmsr2Bnquro6XXnllbrhhhvU0tKi+fPn65ZbbpEkXXDBBYW6WwAAAAAAiqKgc6hvueUWBQIBXXLJJRoYGNDKlSv1xz/+UY2NjYW8WwAAAAAACq6gAXUwGNStt96qW2+9tZB3AwAAAABA0RVsDjUAAAAAAKWMgBoAAAAAgBwQUAMAAAAAkAMCagAAAAAAckBADQAAAABADgioAQAAAADIQUHHZk2VbduSpO7ubodXMrFYLKb+/n51d3crGAw6vRyMg33yBvbJG9gn92OPvIF98gb2yf3YI2/wyj6Z+NPEoxNxdUDd09MjSWppaXF4JQAAAACActLT06P6+voJr2PZkwm7HZJMJtXa2qra2lpZluX0csbV3d2tlpYWbd++XXV1dU4vB+Ngn7yBffIG9sn92CNvYJ+8gX1yP/bIG7yyT7Ztq6enR3PmzJHPN/EpaVdnqH0+n+bOnev0Miatrq7O1U8MpLBP3sA+eQP75H7skTewT97APrkfe+QNXting2WmDZqSAQAAAACQAwJqAAAAAAByQECdB6FQSDfccINCoZDTS8EE2CdvYJ+8gX1yP/bIG9gnb2Cf3I898oZS3CdXNyUDAAAAAMCtyFADAAAAAJADAmoAAAAAAHJAQA0AAAAAQA4IqAEAAAAAyAEBdQFFIhEtW7ZMlmVp48aNTi8Hw7znPe/RvHnzFA6HNXv2bF1yySVqbW11elkYZuvWrbrsssu0cOFCVVZWatGiRbrhhhsUjUadXhoOcNNNN+mkk05SVVWVGhoanF4O0r7zne9o4cKFCofDWr58uR555BGnl4Rh/vKXv+jd73635syZI8uydP/99zu9JBzg5ptv1nHHHafa2lrNmDFD5513nl5++WWnl4UD3HbbbVq6dKnq6upUV1enE088Ub/73e+cXhYmcPPNN8uyLF1zzTVOLyUvCKgL6LOf/azmzJnj9DIwhlNPPVU/+9nP9PLLL+u+++7Ta6+9pvPPP9/pZWGYTZs2KZlM6vbbb9cLL7ygr33ta/rud7+rL3zhC04vDQeIRqO64IIL9IlPfMLppSDt3nvv1TXXXKMvfvGLevrpp/W2t71N55xzjrZt2+b00pDW19ent7zlLfrWt77l9FIwjocfflhXXXWVHnvsMa1bt07xeFyrVq1SX1+f00vDMHPnztW///u/a8OGDdqwYYNOO+00vfe979ULL7zg9NIwhvXr1+uOO+7Q0qVLnV5K3jA2q0B+97vfafXq1brvvvv05je/WU8//bSWLVvm9LIwjv/5n//Reeedp0gkomAw6PRyMI5bbrlFt912m7Zs2eL0UjCGu+66S9dcc406OzudXkrZW7lypY499ljddtttmcuOPPJInXfeebr55psdXBnGYlmWfvWrX+m8885zeimYwL59+zRjxgw9/PDDevvb3+70cjCBpqYm3XLLLbrsssucXgqG6e3t1bHHHqvvfOc7+vKXv6xly5bp61//utPLmjIy1AWwZ88eXXHFFfrhD3+oqqoqp5eDg+jo6NCPf/xjnXTSSQTTLtfV1aWmpianlwG4WjQa1ZNPPqlVq1aNuHzVqlV69NFHHVoV4H1dXV2SxL9DLpZIJPTTn/5UfX19OvHEE51eDg5w1VVX6Z3vfKfOOOMMp5eSVwTUeWbbtj7ykY/oyiuv1IoVK5xeDibwuc99TtXV1Zo2bZq2bdumX//6104vCRN47bXX9M1vflNXXnml00sBXK2trU2JREIzZ84ccfnMmTO1e/duh1YFeJtt21q9erXe+ta3asmSJU4vBwd47rnnVFNTo1AopCuvvFK/+tWvdNRRRzm9LAzz05/+VE899VRJVkkRUE/SjTfeKMuyJvzYsGGDvvnNb6q7u1vXXXed00suO5PdI+Mzn/mMnn76aa1du1Z+v19///d/L05AFF62+yRJra2tOvvss3XBBRfo8ssvd2jl5SWXfYK7WJY14nPbtkddBmByrr76aj377LP6yU9+4vRSMIYjjjhCGzdu1GOPPaZPfOIT+vCHP6wXX3zR6WUhbfv27frUpz6lH/3oRwqHw04vJ+84Qz1JbW1tamtrm/A6CxYs0IUXXqjf/OY3I160JBIJ+f1+XXzxxbr77rsLvdSyNdk9GusXeceOHWppadGjjz5KiVCBZbtPra2tOvXUU7Vy5Urddddd8vl4H7AYcvl94gy1O0SjUVVVVennP/+53ve+92Uu/9SnPqWNGzfq4YcfdnB1GAtnqN3tH/7hH3T//ffrL3/5ixYuXOj0cjAJZ5xxhhYtWqTbb7/d6aVA0v3336/3ve998vv9mcsSiYQsy5LP51MkEhnxNa8JOL0Ar2hublZzc/NBr/eNb3xDX/7ylzOft7a26qyzztK9996rlStXFnKJZW+yezQW875SJBLJ55Iwhmz2aefOnTr11FO1fPly3XnnnQTTRTSV3yc4q6KiQsuXL9e6detGBNTr1q3Te9/7XgdXBniLbdv6h3/4B/3qV7/Sn//8Z4JpD7Ftm9d0LnL66afrueeeG3HZRz/6US1evFif+9znPB1MSwTUeTdv3rwRn9fU1EiSFi1apLlz5zqxJBzgiSee0BNPPKG3vvWtamxs1JYtW3T99ddr0aJFZKddpLW1VaeccormzZunW2+9Vfv27ct8bdasWQ6uDAfatm2bOjo6tG3bNiUSCW3cuFGSdNhhh2X+H4jiWr16tS655BKtWLFCJ554ou644w5t27aNHgQu0tvbq82bN2c+f/3117Vx40Y1NTWNei0BZ1x11VW655579Otf/1q1tbWZHgT19fWqrKx0eHUwvvCFL+icc85RS0uLenp69NOf/lR//vOf9fvf/97ppSGttrZ2VO8B08eoFHoSEFCj7FRWVuqXv/ylbrjhBvX19Wn27Nk6++yz9dOf/lShUMjp5SFt7dq12rx5szZv3jzqzShOqrjL9ddfP+I4yzHHHCNJ+tOf/qRTTjnFoVWVtw984ANqb2/Xl770Je3atUtLlizRAw88oPnz5zu9NKRt2LBBp556aubz1atXS5I+/OEP66677nJoVRjOjJ078P9jd955pz7ykY8Uf0EY0549e3TJJZdo165dqq+v19KlS/X73/9eZ555ptNLQ5ngDDUAAAAAADngQCIAAAAAADkgoAYAAAAAIAcE1AAAAAAA5ICAGgAAAACAHBBQAwAAAACQAwJqAAAAAAByQEANAAAAAEAOCKgBAAAAAMgBATUAAAAAADkgoAYAAAAAIAcE1AAAAAAA5ICAGgAAAACAHPz/AbETkw1j6scAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(-4.0, 4.0, 16)\n",
    "graph_error_formula_polynomial(-4.0, 4.0, 16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two solutions: piecewise interpolation and least squares approximation\n",
    "\n",
    "The approach of least squares approximation is introduced in the next section {doc}`least-squares-fitting`;\n",
    "that can be appropriate when the original data is not exact (due ot measureknet eror in an experiment, for example)\n",
    "so a good approximation at each node can be more appropriate than exact collocation at each but with implausable behavior between the nodes.\n",
    "\n",
    "When instead exact collocation is sought, piecewise interpolation is typically used.\n",
    "This involves collocation with multiple polynomials of a fixed degree, ech on a prt of the domain.\n",
    "Then for each such polynomial $M_{m+1}$ in the above error formula is independnt of the number $N$ of nodes and\n",
    "with the nodes on interval $[a, b]$ at equal spacing $h = (b-a)/(N-1)$, one has the convergence result\n",
    "\n",
    "$$\n",
    "| E_m(x) \\leq \\frac{M_{m+1}}{m+1} h^{m+1} = O(h^{m+1}) = O \\left( \\frac{1}{N^{m+1}} \\right), \\to 0 \\text{ as } N \\to \\infty.\n",
    "$$\n",
    "\n",
    "This only requires that $f$ has a continuous derivatives up to order $m+1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest case of this — quite often used in comuter graphics, including `PyPlot.plot` —\n",
    "is to divide the domain into $N-1$ sub-intervals of equal width separated by nodes\n",
    "$x_i = a + i h$, $0 \\leq i \\leq n$, and then approximate $f(x)$ *linearly* on each sub-interval by using the two surrounding nodes $x_i$ and $x_{i+1}$ determined by having $x_i \\leq x \\leq x_{i+1}$:\n",
    "this is **piecewise linear interpolation.**\n",
    "\n",
    "This gives the approximating function $L_N(x)$,\n",
    "and the above error formula, now with $m=1$, says that the worst absolute error anywhere in the interval $[a, b]$ is\n",
    "\n",
    "$$\n",
    "|E_2(x)| = |f(x) - L_N(x)| \\leq \\frac{M_2}{2} h^2, \\quad M_2 = \\max\\limits_{x \\in [a,b]} | f''(x)|.\n",
    "$$\n",
    "\n",
    "Thus for any $f$ that is is twice continuously differentiable the error at each $x$-value converges to zero as $N \\to \\infty$.\n",
    "Further, it is *uniform convergence*: the maximum error over all points in the domain goes to zero."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preview: definite integrals (en route to solving differential equations)\n",
    "\n",
    "Integrating this piecewise linear approximation over interval $[a, b]$ gives the Compound Trapezoid Rule approximation of $\\int_a^b f(x) dx$.\n",
    "As we will soon see, this also has error at worst $O(h^2), = O(1/N^2)$:\n",
    "each doubling of effort reduces errors by a factor of about four.\n",
    "\n",
    "Also, you might have heard of Simpson's Rule for approximating definite integrals (and anyway, you will soon!):\n",
    "that uses piecewise quadratic interpolation and we will see that this improves the errors to $O(h^4), = O(1/N^4)$:\n",
    "each doubling of effort reduces errors by a factor of about 16."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:remark} Computer graphics and smoother approximating curves\n",
    ":label: collocation-error-formula-remark\n",
    "\n",
    "As mentioned, computer graphics often draws graphs from data points this way, most often with either piecewise linear or piecewise cubic ($m=3$) approximation.\n",
    "\n",
    "However, this can give sharp \"corners\" at the nodes, so many modes are needed to make this visually acceptable.\n",
    "That is unavoidable with piecewise linear curves, but for higher degrees there are modifications of this strategy that give smoother curves: piecewise cubics turn out to work very nicely for that, and these are inroduced in the section {doc}`piecewise-polynomial-approximation-and-splines`.\n",
    "```"
   ]
  }
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