{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "instrumental-peace",
   "metadata": {},
   "source": [
    "# Least-squares Fitting to Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dietary-concentration",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Chapter 4 *Least Squares* of [Sauer](../references.html#Sauer), Sections 1 and 2.\n",
    "- Section 8.1 *Discrete Least Squares Approximation* of [Burden&Faires](../references.html#Burden-Faires)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "romance-premises",
   "metadata": {},
   "source": [
    "We have seen that when trying to fit a curve to a large collection of data points, fitting a single polynomial to all of them can be a bad approach.\n",
    "This is even more so if the data itself is inaccurate, due for example to measurement error.\n",
    "\n",
    "Thus an important approach is to find a function of some simple form that is close to the given points but not necesarily fitting them exactly:\n",
    "given $N$ points\n",
    "\n",
    "$$(x_i, y_i),\\; 1 \\leq i \\leq N$$\n",
    "\n",
    "we seek a function $f(x)$ so that the errors at each point,\n",
    "\n",
    "$$e_i = y_i - f(x_i),$$\n",
    "\n",
    "are \"small\" overall, in some sense.\n",
    "\n",
    "Two important choices for the function $f(x)$ are\n",
    "\n",
    "(a) polynomials of low degree, and\n",
    "\n",
    "(b) periodic sinusidal functions;\n",
    "\n",
    "we will start with the simplest case of fitting a straight line."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "pressing-garbage",
   "metadata": {},
   "source": [
    "## Measuring \"goodness of fit\": several options\n",
    "\n",
    "The first decision to be made is how to measure the overall error in the fit, since the error is now a vector of values $e = \\{e_i\\}$, not a single number.\n",
    "Two approaches are widely used:\n",
    "\n",
    "* *Min-Max*: minimize the maximum of the absolute errors at each point,\n",
    "$\\displaystyle \\|e\\|_{max} \\text{ or } \\|e\\|_\\infty, = \\max_{1 \\leq i \\leq n} |e_i|$\n",
    "\n",
    "* *Least Squares*: Minimize the sum of the squares of the errors,\n",
    "$\\displaystyle \\sum_1^n e_i^2$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "hungarian-taiwan",
   "metadata": {},
   "source": [
    "## What doesn't work\n",
    "\n",
    "Another seemingly natural approach is:\n",
    "\n",
    "* Minimize the sum of the absolute errors,\n",
    "$\\displaystyle \\|e\\|_1 = \\sum_1^n |e_i|$\n",
    "\n",
    "but this often fails completely.\n",
    "In the following example, all three lines minimize this measure of error, along with infinitely many others: any line that passes below half of the points and above the other half."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d722ceba-3884-4006-b131-dacbacbd297d",
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot\n",
    "using LinearAlgebra\n",
    "using Random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "56c118e7-de0f-4f6a-8ed2-858c281c8dc9",
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"NumericalMethods.jl\")\n",
    "using .NumericalMethods: solvelinearsystem, polyval"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0dd74684-c43b-47f3-b121-5c47c95a0555",
   "metadata": {},
   "source": [
    "**Julia note.**\n",
    "This version of `polyfit` from `NumericalMethods` is not actually used here, but a variant is defined below.\n",
    "It is fine to reuse a function's name so long as the different functions are distinguished by different input parameters.\n",
    "However, when one version comes from a module, we must use `import` rather than `using`.\n",
    "(All other cases of `using .NUmericalMethods` in this book could also be `import .NumericalMethods`.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "036a4aff-b6af-43a1-bad3-11ce679a9a98",
   "metadata": {},
   "outputs": [],
   "source": [
    "import .NumericalMethods: polyfit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "early-wesley",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xdata = [1., 2., 3., 4.]\n",
    "ydata = [0., 3., 2., 5.]\n",
    "figure(figsize=[12,6])\n",
    "\n",
    "plot(xdata, ydata, \"b*\", label=\"Data\")\n",
    "nplotpoints = 100\n",
    "xplot = range(0., 5.0, nplotpoints)\n",
    "ylow = xplot .- 0.5\n",
    "yhigh = xplot .+ 0.5\n",
    "yflat = 2.5*ones(nplotpoints)\n",
    "plot(xplot, ylow, label=\"low\")\n",
    "plot(xplot, yhigh, label=\"high\")\n",
    "plot(xplot, yflat, label=\"flat\")\n",
    "legend(loc=\"best\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "environmental-saturday",
   "metadata": {},
   "source": [
    "The Min-Max method is important and useful, but computationally difficult.\n",
    "One hint is the presence of absolute values in the formula, which get in the way of using calculus to get equations for the minimum.\n",
    "\n",
    "Thus the easiest and most common approach is **Least Squares**, or equivalently, minimizing the root-mean-square error, which is just the Euclidean length $\\|e\\|_2$ of the error vector $e$.\n",
    "That \"geometrical\" interpretation of the goal can be useful.\n",
    "So we start with that."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "material-monitor",
   "metadata": {},
   "source": [
    "## Linear least squares\n",
    "\n",
    "The simplest approach is to seek the straight line $y = f(x) = c_0 + c_1x$ that minimizes the total square sum error,\n",
    "\n",
    "$$E(c_0, c_1) = \\sum_i e_i^2 = \\sum_i (c_0 + c_1x_i - y_i)^2.$$\n",
    "\n",
    "Note well that the unknowns here are just the two values $c_0$ and $c_1$, and\n",
    "$E$ is s fairly simple polynomial function of them.\n",
    "The minimum error must occur at a critical point of this function, where both partial derivatives are zero:\n",
    "\n",
    "$$\\frac{\\partial E}{\\partial c_0} = 2 \\sum_i (c_0 + c_1x_i - y_i) = 0,$$\n",
    "\n",
    "$$\\frac{\\partial E}{\\partial c_1} = 2 \\sum_i (c_0 + c_1x_i - y_i) x_i = 0.$$\n",
    "\n",
    "These are just simultaneous linear equations, which is the secret of why the least squares approach is so much easier than any alternative.\n",
    "The equations are:\n",
    "\n",
    "$$\n",
    "\\left[\\begin{array}{cc} \\sum_i 1 & \\sum_i x_i \\\\ \\sum_i x_i & \\sum_i x_i^2 \\end{array}\\right]\n",
    "\\left[\\begin{array}{c} c_0 \\\\ c_1 \\end{array}\\right]\n",
    "=\n",
    "\\left[\\begin{array}{c} \\sum_i y_i \\\\ \\sum_i x_iy_i \\end{array}\\right]\n",
    "$$\n",
    "\n",
    "where of course $\\sum_i 1$ is just $N$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "necessary-fluid",
   "metadata": {},
   "source": [
    "It will help later to introduce the notation\n",
    "\n",
    "$$m_j = \\sum_i x_i^j, \\quad p_j = \\sum_i x_i^j y_i$$\n",
    "\n",
    "so that the equations are\n",
    "\n",
    "$$M c = p$$\n",
    "\n",
    "with\n",
    "\n",
    "$$\n",
    "M = \\left[\\begin{array}{cc} m_0 & m_1 \\\\ m_1 & m_2\\end{array}\\right],\n",
    "p = \\left[\\begin{array}{c} p_0 \\\\ p_1 \\end{array}\\right],\n",
    "c = \\left[\\begin{array}{c} c_0 \\\\ c_1 \\end{array}\\right].\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a39a616c-4722-4149-9462-2e97b43064a8",
   "metadata": {},
   "source": [
    "## Alternative geometrical derivation\n",
    "\n",
    "The next section {doc}`least-squares-fitting-appendix-geometrical-approach` presents another way to derive this result,\n",
    "using geometry and linear algebra instead of calculus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9bf88d14-d09a-4b01-9d67-18525099eb8b",
   "metadata": {},
   "outputs": [],
   "source": [
    "function linefit(x, y)\n",
    "    m0 = length(x)\n",
    "    m1 = sum(x)\n",
    "    m2 = sum(x.^2)\n",
    "    M = [ m0 m1 ; m1 m2 ]\n",
    "    p = [ sum(y); sum(x.*y) ]\n",
    "    return solvelinearsystem(M, p)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "brief-edward",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are [3.1889572164136313, 1.713497358474645]"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "xmin = -1.0\n",
    "xmax = 1.0\n",
    "x = range(xmin, xmax, N)\n",
    "# Emulate a straight line with measurement errors:\n",
    "# random(N) gives N values uniformly distributed in the range [0,1], and so with mean 0.5.\n",
    "# Thus subtracting 1/2 simulates more symmetric \"errors\", of mean zero.\n",
    "yline = 2.0x .+ 3.0\n",
    "y = yline + (rand(N) .- 0.5)\n",
    "\n",
    "figure(figsize=[12,6])\n",
    "plot(x, yline, \"g\", label=\"The original line\")\n",
    "plot(x, y, \"*\", label=\"Data\")\n",
    "c = linefit(x, y)\n",
    "print(\"The coefficients are $c\")\n",
    "xplot = range(xmin, xmax, 100)\n",
    "plot(xplot, polyval.(xplot, coeffs=c), \"r\", label=\"Linear least squares fit\")\n",
    "legend(loc=\"best\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "streaming-defendant",
   "metadata": {},
   "source": [
    "## Least squares fiting to higher degree polynomials\n",
    "\n",
    "The method above extends to finding a polynomial\n",
    "\n",
    "$$p(x) = c_0 + c_1 x + \\cdots + c_n x^n$$\n",
    "\n",
    "that gives the best least squares fit to data\n",
    "\n",
    "$$(x_1, y_1), \\dots (x_N, y_N)$$\n",
    "\n",
    "in that the coefficients $c_k$ given the minimum of\n",
    "\n",
    "$$\n",
    "E(c_0, \\dots c_n) = \\sum_i(p(x_i) - y_i)^2\n",
    "= \\sum_i \\left( y_i - \\sum_k c_k x_i^k \\right)^2\n",
    "$$\n",
    "\n",
    "Note that when $N=n+1$, the solution is the interpolating polynomial, with error zero."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "colored-sweet",
   "metadata": {},
   "source": [
    "The necessary conditions for a minimum are that all $n+1$ partial derivatives of $E$ are zero:\n",
    "\n",
    "$$\n",
    "\\frac{\\partial E}{\\partial c_j} = 2 \\sum_i \\left( y_i - \\sum_k c_k x_i^k\\right) x_i^j = 0,\n",
    "\\; 0 \\leq j \\leq n.\n",
    "$$\n",
    "\n",
    "This gives\n",
    "\n",
    "$$\n",
    "\\sum_i \\sum_k \\left( c_k x_i^{j+k} \\right) = \\sum_k \\left( \\sum_i x_i^{j+k} \\right) c_k = \\sum_i y_i x_i^j, \\; 0 \\leq j \\leq n,\n",
    "$$\n",
    "\n",
    "or with the notation $m_k = \\sum_i x_i^k$, $p_k = \\sum_i x_i^k y_i$ introduced above,\n",
    "\n",
    "$$\n",
    "\\sum_k m_{j+k} c_k = p_j,\\; 0 \\leq j \\leq n.\n",
    "$$\n",
    "\n",
    "That is, the equations are again $Mc = p$, but now with\n",
    "\n",
    "$$\n",
    "M = \\left[\\begin{array}{cccc}\n",
    "m_0 & m_1 & \\dots & m_n \\\\\n",
    "m_1 & m_2 & \\dots & m_{n+1} \\\\\n",
    "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n",
    "m_n & m_{n+1} & \\dots & m_{2n}\n",
    "\\end{array}\\right],\n",
    "\\quad\n",
    "p = \\left[\\begin{array}{c} p_0 \\\\ p_1 \\\\ \\vdots \\\\ p_n \\end{array}\\right],\n",
    "\\quad\n",
    "c = \\left[\\begin{array}{c} c_0 \\\\ c_1 \\\\ \\vdots  \\\\ c_n \\end{array}\\right].\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86c0f731-9a1e-4a87-a053-40269bf833b3",
   "metadata": {},
   "source": [
    "This is done by a variation of `polyfit` with a third argument `n` specfying the degree of the polynomial sought: `polyfit(x, y, n)`."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f99bc2c-5595-4b1a-a440-75fd5d67ac88",
   "metadata": {},
   "source": [
    "**Julia note 1.** Several functions can have the same name so long as they are distinguished by the sequence of input arguments,\n",
    "so it is alright to have this second version of `polyfit`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7f4c07fb-d52f-44da-bc39-4c967e3030bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "function polyfit(x, y, n)\n",
    "    # Version 2: least squares fitting.\n",
    "    # Compute the coeffients c_i of the polynomial of degree n that give the best least squares fit to data (x[i], y[i]).\n",
    "\n",
    "    N = length(x)\n",
    "    m = zeros(2n+1)\n",
    "    for k in 0:2n\n",
    "        m[k+1] = sum(x.^k)  # Here and below, shift the indices up by one, since Julia counts from 1, not 0.\n",
    "    end\n",
    "    M = zeros(n+1,n+1)\n",
    "    for i in 0:n\n",
    "        for j in 0:n \n",
    "             M[i+1, j+1] = m[i+j+1]\n",
    "        end\n",
    "    end\n",
    "    p = zeros(n+1)\n",
    "    for k in 0:n\n",
    "        p[k+1] = sum(x.^k .* y)\n",
    "    end\n",
    "    c = solvelinearsystem(M, p)\n",
    "    return c\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e969680-6023-4d59-ae6d-3a97939e61ab",
   "metadata": {},
   "source": [
    "This time, let us look at extrapolation too: values beyond the interval containing the data,\n",
    "and try all degrees up to three:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "armed-baghdad",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For degree 0 the coefficients are [0.621502615138067]\n",
      "For degree 1 the coefficients are [0.10638045715159698, 0.6558739019176877]\n",
      "For degree 2 the coefficients are [-0.016265239454253864, 1.182904961239479, -0.335518393016084]\n",
      "For degree 3 the coefficients are [-0.0010872800198948873, 1.023817333884883, -0.06859177724109337, -0.11328717424901459]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA94AAAEnCAYAAABfb5vTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAA9hAAAPYQGoP6dpAABoz0lEQVR4nO3deVyU1f4H8M/sw7Dvm4C4k7ugiYZmBaa2aFamXre0MipT6v5yqZt2vdniNa1cKjVbTK3MlhsVZK6B5oI77iguoAKyL7Od3x8DkyMgDAIzwOf9ek3MnDnPw/eBr09855znPBIhhAARERERERERNQiprQMgIiIiIiIias5YeBMRERERERE1IBbeRERERERERA2IhTcRERERERFRA2LhTURERERERNSAWHgTERERERERNSAW3kREREREREQNiIU3ERERERERUQNi4U1ERERERETUgFh4ExGRVc6dO4dhw4bBw8MDEokE06dPx7lz5yCRSLBmzRpzv6SkJMydOxe5ubmV9rFs2TKLvjfu++b9NJbLly9j7ty5OHDgQKN8v61bt0IikWDr1q2N8v1sZd26dRgwYAB8fX2hUqkQEBCABx98EElJSfX6feLj4zF37txa9584cSIkEgk6d+4Mg8FQ6X2JRILnn3++HiOs2c6dOzFlyhSEh4dDpVJBIpHg3Llz1fb/4IMP0KlTJ6hUKoSGhmLevHnQ6XSNF/AN5s6dC4lEUqdtjx07hrlz597yWImImjoW3kREZJUZM2Zg9+7dWL16NZKTkzFjxgz4+/sjOTkZw4YNM/dLSkrCvHnzrCq8q9pPY7l8+TLmzZvXaIV3S5GdnY3+/ftj2bJlSEhIwKJFi3DlyhUMGDAA27Ztq7fvEx8fj3nz5lm93bFjx2zyQU9VNm/ejN9//x3BwcHo16/fLfv+5z//wYsvvohHHnkEv/32G2JjY/Hmm2/iueeea6RoLU2ZMgXJycl12vbYsWOYN28eC28iatbktg6AiIgs6XQ6SCQSyOWVT9HFxcXQaDR13rcQAqWlpXBwcKjzPo4cOYI+ffpg+PDhFu19+/at8z4rqFSqetkPVa8+csAaVY0aDxkyBN7e3li1ahUGDhzYKHFUxdHREb169cLrr7+OMWPGNNrPpDqvvfYaXn/9dQDAwoULq50NkZ2djfnz5+Opp57Cm2++CQC4++67odPp8Oqrr2L69Om44447GitsAECrVq3QqlWrRv2eRERNCUe8iYgayKlTpzBmzBj4+PhApVIhLCwMS5cutehTMd34iy++wEsvvYTAwECoVCqcPn0aEydOhJOTEw4fPoyYmBg4Ozvj3nvvBQDk5OQgNjYWgYGBUCqVaNOmDebMmYOysjKL/VdMl12xYgXCwsKgUqnw2WefAQCWL1+O7t27w8nJCc7OzujUqRNmz55d7fFUxHr69Gn88ssvkEgk5qmwN08Rnzt3Lv75z38CAEJDQ819t27ditatW+Po0aPYtm2bub1169YAqp5qXjGF9ejRoxg9ejRcXV3h6+uLJ598Enl5eRYx5ubmYvLkyfDw8ICTkxOGDRuGs2fPQiKR3HIa8tatW9G7d28AwKRJk8xx3bjNjz/+iMjISGg0Gjg7OyM6OrrWI3zHjx/H/fffD41GAy8vL0ydOhUFBQVV9v39999x7733wsXFBRqNBv3798fmzZsr9fvhhx/QrVs3qFQqtGnTBkuWLKlyuu+tcqA2OQoA+fn5ePnllxEaGgqlUonAwEBMnz4dRUVFtTr+mzk7O0OtVlf54dLNNmzYgJiYGPj7+8PBwQFhYWGYOXOmxfeeOHGiOe6K311N07QrvP3227h06RKWLFlSp2OpT1Jp7f4s+/XXX1FaWopJkyZZtE+aNAlCCHz//fe33H7NmjWQSCRITEzEpEmT4OHhAUdHRzz44IM4e/Zspf6rV69G9+7doVar4eHhgREjRiA1NdWiT1W517p1azzwwAP49ddf0atXLzg4OKBTp05YvXq1RSyPPfYYAGDQoEHm313FOSAlJQUPPPCAOUcDAgIwbNgwXLx4sVY/KyIie8ERbyKiBnDs2DH069cPwcHB+O9//ws/Pz/89ttvmDZtGrKyssyjWhVmzZqFyMhIrFixAlKpFD4+PgAArVaLhx56CM888wxmzpwJvV6P0tJSDBo0CGfOnMG8efPQrVs37NixAwsWLMCBAwfw888/W+z7+++/x44dO/Cvf/0Lfn5+8PHxwfr16xEbG4sXXngBCxcuhFQqxenTp3Hs2LFqj6lXr15ITk7GiBEj0LZtWyxcuBCAaXp4RkaGRd8pU6YgJycHH3zwAb777jv4+/sDAO644w5s2rQJjz76KFxdXbFs2TIAppHumowcORKjRo3C5MmTcfjwYcyaNQsAzH/EG41GPPjgg9i7dy/mzp1rjvf++++vcd+9evXCp59+ikmTJuHVV181T3WvGMH76quvMHbsWMTExGDdunUoKyvDO++8g7vvvhubN2/GXXfdVe2+r1y5goEDB0KhUGDZsmXw9fXF2rVrqxwJ/vLLLzF+/Hg8/PDD+Oyzz6BQKPDRRx9h8ODB+O2338wfvPz666945JFHMGDAAGzYsAF6vR4LFy7ElStXqoyhqhyobY4WFxdj4MCBuHjxImbPno1u3brh6NGj+Ne//oXDhw/j999/r9W1vQaDAUajEZcuXcKCBQsghKjVtOhTp05h6NChmD59OhwdHXH8+HG8/fbb+Ouvv/DHH38AMI0UFxUV4dtvv7X4MKQi724lMjISI0aMwNtvv42nn34aHh4eNW5z83EJIWrsJ5VKa11Y1+TIkSMAgK5du1q0+/v7w8vLy/x+TSZPnozo6Gh89dVXuHDhAl599VXcfffdOHToENzc3AAACxYswOzZszF69GgsWLAA2dnZmDt3LiIjI7Fnzx60b9/+lt/j4MGDeOmllzBz5kz4+vpi5cqVmDx5Mtq1a4cBAwZg2LBhePPNNzF79mwsXboUvXr1AgC0bdsWRUVFiI6ORmhoKJYuXQpfX19kZmZiy5Yt1X5wRURktwQREdW7wYMHi1atWom8vDyL9ueff16o1WqRk5MjhBBiy5YtAoAYMGBApX1MmDBBABCrV6+2aF+xYoUAIL7++muL9rffflsAEAkJCeY2AMLV1dX8/W6Mw83NrU7HFhISIoYNG2bRlpaWJgCITz/91Nz27rvvCgAiLS2t0j46d+4sBg4cWKm9qv28/vrrAoB45513LPrGxsYKtVotjEajEEKIn3/+WQAQy5cvt+i3YMECAUC8/vrrtzyuPXv2VPreQghhMBhEQECA6Nq1qzAYDOb2goIC4ePjI/r163fL/b7yyitCIpGIAwcOWLRHR0cLAGLLli1CCCGKioqEh4eHePDBByt9/+7du4s+ffqY23r37i2CgoJEWVmZRTyenp7i5v+1V5cDtc3RBQsWCKlUKvbs2WPR79tvvxUARHx8/C2Pv0LHjh0FAAFA+Pv7i507d9ZquxsZjUah0+nEtm3bBABx8OBB83vPPfdcpWO/lQkTJghHR0chhBDHjx8XMplMvPTSS+b3AYjnnnuuxv0MHDjQfFy3ekyYMKH2Bypu/e/nqaeeEiqVqsrtOnToIGJiYm65708//VQAECNGjLBo//PPPwUAMX/+fCGEENevXxcODg5i6NChFv3S09OFSqUSY8aMMbdV/Du9UUhIiFCr1eL8+fPmtpKSEuHh4SGeeeYZc9s333xj8W+hwt69ewUA8f3339/yeIiImgJONSciqmelpaXYvHkzRowYAY1GA71eb34MHToUpaWl2LVrl8U2I0eOrHZ/N7/3xx9/wNHREY8++qhF+8SJEwGg0rTke+65B+7u7hZtffr0QW5uLkaPHo0ffvgBWVlZ1h5mo3vooYcsXnfr1g2lpaW4evUqAJgX6nr88cct+o0ePfq2vu+JEydw+fJljBs3zmLE0snJCSNHjsSuXbtQXFxc7fZbtmxB586d0b17d4v2MWPGWLxOSkpCTk4OJkyYYJEzRqMR999/P/bs2YOioiIUFRVh7969GD58OJRKpUU8Dz74YJUx3JwD1uTo//73P3Tp0gU9evSw6Dd48GCrVmXfuHEjdu/ejW+++QZ33HEHhgwZUqttz549izFjxsDPzw8ymQwKhcJ8XfjN053rqmPHjpg8eTI+/PBDpKenW7XtRx99hD179tT4sGbF9dq41SyD2q4uPnbsWIvX/fr1Q0hICLZs2QIASE5ORklJifncUiEoKAj33HNPlZdA3KxHjx4IDg42v1ar1ejQoQPOnz9f47bt2rWDu7s7XnnlFaxYseKWM3KIiOwdp5oTEdWz7Oxs6PV6fPDBB/jggw+q7HNzoVvdlFiNRgMXF5dK+/fz86v0x7WPjw/kcjmys7Nr3Pe4ceOg1+vxySefYOTIkTAajejduzfmz5+P6OjoGo/RFjw9PS1eV0xPLykpAWD6ucjl8kpThX19fW/r+1b8PKv6OQYEBMBoNOL69evVLnqXnZ2N0NDQSu1+fn4Wryumid/8gcqNcnJyIJFIIISo8riqO9abY7cmR69cuYLTp09DoVDcsl9NOnfuDADmhfl69uyJF198EQcPHqx2m8LCQkRFRUGtVmP+/Pno0KEDNBoNLly4gEceecT8u68Pc+fOxZdffonXXnvNfA18bbRr167WU83ri6enJ0pLS6tcbDEnJwfh4eG12s/NOVjRVpHzNeV+YmJirWK9mUqlqtXvztXVFdu2bcN//vMfzJ49G9evX4e/vz+eeuopvPrqq9XmJBGRPWLhTURUz9zd3SGTyTBu3Lhqr2G9uRCrboSqqnZPT0/s3r0bQgiL969evQq9Xg8vL69a7XvSpEmYNGkSioqKsH37drz++ut44IEHcPLkSYSEhNzyGO2Rp6cn9Ho9cnJyLIrvzMzM294vgErXsQOmW5BJpdJKMwpu3r6qGG5uq/i9ffDBB9Wu7O7r62te9b6q67mrO9abc8CaHPXy8oKDg4PFglhVxW0NuVyOXr164euvv75lvz/++AOXL1/G1q1bLVY/r+oWdbfL398f06dPx1tvvYWXXnqp1tvde++9tbot2oQJE+rttmUV13YfPnwYd955p7k9MzMTWVlZ6NKlS632U11etmvXDkDNuV+X3721unbtivXr10MIgUOHDmHNmjV444034ODggJkzZzb49yciqi8svImI6plGo8GgQYOQkpKCbt26WUwHrg/33nsvvv76a3z//fcYMWKEuf3zzz83v28NR0dHDBkyBFqtFsOHD8fRo0frpfC+eUT65vfqc7QSAAYOHIh33nkHGzZswLPPPmtuX79+fa22ry7ejh07IjAwEF999RVefvllcxFbVFSEjRs3mlc6r86gQYPwzjvv4ODBgxbTzb/66iuLfv3794ebmxuOHTtW5cJrFZRKJSIiIvD9999j4cKF5vwqLCzE//73v1odqzU5+sADD+DNN9+Ep6dnlSP3dVExlb2iwKtOxc/65sX3Pvroo0p9b/z91fW2YK+88go+/vhjqwq6jz76qFYLfdVnkXr//fdDrVZjzZo1FoV3xWrlN9/qrzpr1661uJQlKSkJ58+fx5QpUwCYFp5zcHDAl19+aV55HAAuXryIP/7445azM6xxq3NFBYlEgu7du+O9997DmjVrsH///nr53kREjYWFNxFRA1iyZAnuuusuREVF4dlnn0Xr1q1RUFCA06dP46effjKvxlwX48ePx9KlSzFhwgScO3cOXbt2xc6dO/Hmm29i6NChuO+++2rcx1NPPQUHBwf0798f/v7+yMzMxIIFC+Dq6mq+rdbtqhiVW7JkCSZMmACFQoGOHTvC2dnZPIq1YcMGtGnTBmq1utIKzda6//770b9/f7z00kvIz89HeHg4kpOTzR9I1DTVt23btnBwcMDatWsRFhYGJycnBAQEICAgAO+88w7Gjh2LBx54AM888wzKysrw7rvvIjc3F2+99dYt9zt9+nSsXr0aw4YNw/z5882rmh8/ftyin5OTEz744ANMmDABOTk5ePTRR+Hj44Nr167h4MGDuHbtGpYvXw4AeOONNzBs2DAMHjwYL774IgwGA9599104OTkhJyenVj+v2ubo9OnTsXHjRgwYMAAzZsxAt27dYDQakZ6ejoSEBLz00ksWxd/N+vXrh4ceeghhYWFwdXXFuXPnsHz5cpw5cwabNm26ZYz9+vWDu7s7pk6ditdffx0KhQJr166tcnp6Rf68/fbbGDJkCGQymdUffLm4uGDOnDmYMWNGrbfp2LFjrfvW5Nq1a+bR88OHDwMAfvnlF3h7e8Pb29s86u/h4YFXX30Vr732Gjw8PBATE2O+jnzKlCm1vof33r17MWXKFDz22GO4cOEC5syZg8DAQMTGxgIA3Nzc8Nprr2H27NkYP348Ro8ejezsbMybNw9qtbrS3RnqqmKE/uOPPzbfai40NBTJyclYtmwZhg8fjjZt2kAIge+++w65ubl2e0kMEVG1bLq0GxFRM5aWliaefPJJERgYKBQKhfD29hb9+vUzrxgsxN+rmn/zzTeVtr9x1eWbZWdni6lTpwp/f38hl8tFSEiImDVrligtLbXoh2pWZv7ss8/EoEGDhK+vr1AqlSIgIEA8/vjj4tChQzUeV21XNRdCiFmzZomAgAAhlUotVi0+d+6ciImJEc7OzgKACAkJqXY/FaslX7t2zWLfFSsz37jqc05Ojpg0aZJwc3MTGo1GREdHi127dgkAYsmSJTUe27p160SnTp2EQqGotBL6999/L+68806hVquFo6OjuPfee8Wff/5Z4z6FEOLYsWMiOjpaqNVq4eHhISZPnix++OGHKldy3rZtmxg2bJjw8PAQCoVCBAYGimHDhlXKkU2bNomuXbsKpVIpgoODxVtvvSWmTZsm3N3dLfpVlwNC1C5HhRCisLBQvPrqq6Jjx45CqVQKV1dX0bVrVzFjxgyRmZl5y2N/6aWXRPfu3YWrq6uQy+XCz89PjBgxotY/u6SkJBEZGSk0Go3w9vYWU6ZMEfv376+UJ2VlZWLKlCnC29tbSCSSalcEr1Ddv6+ysjIRGhpa61XN61PF+aCqR1V3AViyZIno0KGDOQdef/11odVqa/w+Ff92EhISxLhx44Sbm5t59fJTp05V6r9y5UrRrVs38+/+4YcfFkePHrXoU92q5jefK4QwrQR/8/EsXrxYhIaGCplMZv7dHj9+XIwePVq0bdtWODg4CFdXV9GnTx+xZs2aGo+RiMjeSISoxYogRERETVTFPbj//PNP9OvXz9bhNBidTocePXogMDAQCQkJtg6H7NiaNWswadIk7NmzBxEREbYOh4ioReBUcyIiajbWrVuHS5cuoWvXrpBKpdi1axfeffddDBgwoNkV3ZMnT0Z0dLT5UoEVK1YgNTUVS5YssXVoREREdBMW3kRE1Gw4Oztj/fr1mD9/PoqKiuDv74+JEydi/vz5tg6t3hUUFODll1/GtWvXoFAo0KtXL8THx9fqGn8iIiJqXJxqTkRERERERNSAbr3EKxERERERERHdFhbeRERERERERA2IhTcRERERERFRA2o2i6sZjUZcvnwZzs7OkEgktg6HiIiIiIiImjkhBAoKChAQEACptPpx7WZTeF++fBlBQUG2DoOIiIiIiIhamAsXLqBVq1bVvt9sCm9nZ2cApgN2cXGxcTTV0+l0SEhIQExMDBQKha3DoRaO+Uj2hjlJ9oT5SPaGOUn2hPlokp+fj6CgIHM9Wp06Fd7Lli3Du+++i4yMDHTu3BmLFy9GVFRUtf23bduGuLg4HD16FAEBAfi///s/TJ061aJPbm4u5syZg++++w7Xr19HaGgo/vvf/2Lo0KG1iqliermLi4vdF94ajQYuLi4tOkHJPjAfyd4wJ8meMB/J3jAnyZ4wHy3VdLmz1YurbdiwAdOnT8ecOXOQkpKCqKgoDBkyBOnp6VX2T0tLw9ChQxEVFYWUlBTMnj0b06ZNw8aNG819tFotoqOjce7cOXz77bc4ceIEPvnkEwQGBlobHhEREREREZFdsXrEe9GiRZg8eTKmTJkCAFi8eDF+++03LF++HAsWLKjUf8WKFQgODsbixYsBAGFhYdi7dy8WLlyIkSNHAgBWr16NnJwcJCUlmT8tCQkJqesxEREREREREdkNqwpvrVaLffv2YebMmRbtMTExSEpKqnKb5ORkxMTEWLQNHjwYq1atgk6ng0KhwI8//ojIyEg899xz+OGHH+Dt7Y0xY8bglVdegUwmq3K/ZWVlKCsrM7/Oz88HYJryoNPprDmsRlURmz3HSC0H85HsDXOS7AnzkewNc5LsCfPRpLbHb1XhnZWVBYPBAF9fX4t2X19fZGZmVrlNZmZmlf31ej2ysrLg7++Ps2fP4o8//sDYsWMRHx+PU6dO4bnnnoNer8e//vWvKve7YMECzJs3r1J7QkICNBqNNYdlE4mJibYOgciM+Uj2hjlJ9oT5SPaGOUn2pKXnY3Fxca361WlxtZsvHBdC3PJi8qr639huNBrh4+ODjz/+GDKZDOHh4bh8+TLefffdagvvWbNmIS4uzvy6YjW5mJgYu19cLTExEdHR0VyEgGyO+Uj2hjlJ9oT5SPaGOUn2hPloUjHzuiZWFd5eXl6QyWSVRrevXr1aaVS7gp+fX5X95XI5PD09AQD+/v5QKBQW08rDwsKQmZkJrVYLpVJZab8qlQoqlapSu0KhaBK/+KYSJ7UMzEeyN8xJsifMR7I3zEmyJy09H2t77Fataq5UKhEeHl5pOkFiYiL69etX5TaRkZGV+ickJCAiIsIcZP/+/XH69GkYjUZzn5MnT8Lf37/KopuIiIiIiIiap/PZRYg/nAGdwVhz5ybC6tuJxcXFYeXKlVi9ejVSU1MxY8YMpKenm+/LPWvWLIwfP97cf+rUqTh//jzi4uKQmpqK1atXY9WqVXj55ZfNfZ599llkZ2fjxRdfxMmTJ/Hzzz/jzTffxHPPPVcPh0hERERERERNxad/nkPs2v2YufGwrUOpN1Zf4z1q1ChkZ2fjjTfeQEZGBrp06YL4+Hjz7b8yMjIs7ukdGhqK+Ph4zJgxA0uXLkVAQADef/99863EACAoKAgJCQmYMWMGunXrhsDAQLz44ot45ZVX6uEQiYiIiIiIqCko1uqxcf9FAMBDPQJsHE39qdPiarGxsYiNja3yvTVr1lRqGzhwIPbv33/LfUZGRmLXrl11CYeIiIiIiIiagZ8OXkZBqR4hnhpEtfOydTj1xuqp5kRERERERET1TQiBL3adBwCM6RMMqbT6O2c1NSy8iYiIiIiIyOYOXszDkUv5UMqleCwiyNbh1CsW3kRERERERGRzX5aPdj/Q1R8ejs3r7lYsvImIiIiIiMimcou1+OngZQDA2L4hNo6m/rHwJiIiIiIiIpv6dt9FlOmNCPN3Qa9gN1uHU+9YeBMREREREZHNGI0Ca3ebbkn9j77BkEiaz6JqFVh4ExERERERkc0knclGWlYRnFRyDO8RaOtwGgQLbyIiIiIiIrKZikXVHukVCEeV3MbRNAwW3kRERERERGQTmXmlSEy9AgD4RzNcVK0CC28iIiIiIiKyifV70mEwCvRp7YEOvs62DqfBsPAmIiIiIiKiRqc3GLH+rwsAgLF9g20cTcNi4U1ERERERESN7vfUq8jML4WXkxL3d/GzdTgNioU3ERERERERNbqKRdUejwiCSi6zcTQNi4U3ERERERERNaq0rCLsPJ0FiQQY3ad5TzMHWHgTERERERFRI1tbPto9qKMPgjw0No6m4bHwJiIiIiIiokZTqjPgm30XAQDjmvEtxG7EwpuIiIiIiIgazf8OZSCvRIdW7g4Y0MHb1uE0ChbeRERERERE1Gi+KJ9mPubOYMikEhtH0zhYeBMREREREVGjOHghFwcv5EIhk+DxiCBbh9NoWHgTERERERFRo1i1Mw0A8GD3AHg5qWwcTeNh4U1EREREREQN7nJuCeIPZwAAJt8VauNoGhcLbyIiIiIiImpwnyWfg94oENnGE50DXG0dTqNi4U1EREREREQNqqhMj3W70wG0vNFugIU3ERERERERNbBv911EfqkeoV6OuKeTj63DaXR1KryXLVuG0NBQqNVqhIeHY8eOHbfsv23bNoSHh0OtVqNNmzZYsWKFxftr1qyBRCKp9CgtLa1LeERERERERGQnDEaBT/80Lar2ZP/WkLaQW4jdyOrCe8OGDZg+fTrmzJmDlJQUREVFYciQIUhPT6+yf1paGoYOHYqoqCikpKRg9uzZmDZtGjZu3GjRz8XFBRkZGRYPtVpdt6MiIiIiIiIiu7A59QrOZRfD1UGBkeGtbB2OTcit3WDRokWYPHkypkyZAgBYvHgxfvvtNyxfvhwLFiyo1H/FihUIDg7G4sWLAQBhYWHYu3cvFi5ciJEjR5r7SSQS+Pn51fEwiIiIiIiIyB5V3EJsdJ9gaJRWl6DNglVHrdVqsW/fPsycOdOiPSYmBklJSVVuk5ycjJiYGIu2wYMHY9WqVdDpdFAoFACAwsJChISEwGAwoEePHvj3v/+Nnj17VhtLWVkZysrKzK/z8/MBADqdDjqdzprDalQVsdlzjNRyMB/J3jAnyZ4wH8neMCfJntQ2H49ezsfutBzIpRKM6R3Y7PK3tsdjVeGdlZUFg8EAX19fi3ZfX19kZmZWuU1mZmaV/fV6PbKysuDv749OnTphzZo16Nq1K/Lz87FkyRL0798fBw8eRPv27avc74IFCzBv3rxK7QkJCdBoNNYclk0kJibaOgQiM+Yj2RvmJNkT5iPZG+Yk2ZOa8vGLU1IAUnT3MCDlzz+Q0jhhNZri4uJa9avTOL9EYnkxvBCiUltN/W9s79u3L/r27Wt+v3///ujVqxc++OADvP/++1Xuc9asWYiLizO/zs/PR1BQEGJiYuDi4mLdATUinU6HxMREREdHm0f7iWyF+Uj2hjlJ9oT5SPaGOUn2pDb5mJlfipd27wAgMOfRSHQNbH737q6YeV0TqwpvLy8vyGSySqPbV69erTSqXcHPz6/K/nK5HJ6enlVuI5VK0bt3b5w6daraWFQqFVQqVaV2hULRJE5ETSVOahmYj2RvmJNkT5iPZG+Yk2RPbpWP6/acgd4o0Ke1B3q19mrkyBpHbf8tWrWquVKpRHh4eKXpBImJiejXr1+V20RGRlbqn5CQgIiIiGqDFELgwIED8Pf3tyY8IiIiIiIisgMlWgO++st056sn7wq1cTS2Z/XtxOLi4rBy5UqsXr0aqampmDFjBtLT0zF16lQAping48ePN/efOnUqzp8/j7i4OKSmpmL16tVYtWoVXn75ZXOfefPm4bfffsPZs2dx4MABTJ48GQcOHDDvk4iIiIiIiJqOjfsvIrdYh2APDaLvqHp2dEti9TXeo0aNQnZ2Nt544w1kZGSgS5cuiI+PR0hICAAgIyPD4p7eoaGhiI+Px4wZM7B06VIEBATg/ffft7iVWG5uLp5++mlkZmbC1dUVPXv2xPbt29GnT596OEQiIiIiIiJqLEajwOryW4hN6t8aMmn164G1FHVaXC02NhaxsbFVvrdmzZpKbQMHDsT+/fur3d97772H9957ry6hEBERERERkR3ZevIqzmYVwVklx2MRQbYOxy5YPdWciIiIiIiIqDord5hGu5/oEwQnVZ3GepsdFt5ERERERERUL45dzkfSmWzIpBJM6Nfa1uHYDRbeREREREREVC9W7jwLALi/ix9auWtsHI39YOFNREREREREt+1CTjF+OHAZAPBUVBsbR2NfWHgTERERERHRbft4+1kYjAJ3tfNCjyA3W4djV1h4ExERERER0W25WlCKDXsvAABiB7W1cTT2h4U3ERERERER3ZZVO9Kg1RvRK9gNkW08bR2O3WHhTURERERERHWWW6zFl7vOAwCeG9QOEonExhHZHxbeREREREREVGdrks6hSGtAJz9n3NPJx9bh2CUW3kRERERERFQnhWV6fPrnOQAc7b4VFt5ERERERERUJ+v3XEReiQ6hXo4Y2tXf1uHYLRbeREREREREZDWdEVhdPtr97MC2kEk52l0dFt5ERERERERktd1XJbhWqEWAqxrDewbaOhy7xsKbiIiIiIiIrKIzGLH5sqmcfHpAGyjlLC1vhT8dIiIiIiIissrPhzORUyaBp6MST/QJtnU4do+FNxEREREREdWa0SiwYnsaAGBSvxCoFTIbR2T/WHgTERERERFRrSUcy8SZa0VwkAmM6RNk63CaBBbeREREREREVCtCCCzdcgYAEOUn4KyW2ziipoGFNxEREREREdXK9lNZOHwpDw4KKQb6G20dTpPBwpuIiIiIiIhqZemW0wCAJ3oHwUlh42CaEBbeREREREREVKNdZ7PxV1oOlDIpnuwfYutwmhQW3kRERERERHRLQgj8N+EEAODx3q3g56K2cURNCwtvIiIiIiIiuqVtJ69hz7nrUMmleOGe9rYOp8mpU+G9bNkyhIaGQq1WIzw8HDt27Lhl/23btiE8PBxqtRpt2rTBihUrqu27fv16SCQSDB8+vC6hERERERERUT0yjXafBACM6xsCX452W83qwnvDhg2YPn065syZg5SUFERFRWHIkCFIT0+vsn9aWhqGDh2KqKgopKSkYPbs2Zg2bRo2btxYqe/58+fx8ssvIyoqyvojISIiIiIionr329ErOHwpD45KGZ69u62tw2mSrC68Fy1ahMmTJ2PKlCkICwvD4sWLERQUhOXLl1fZf8WKFQgODsbixYsRFhaGKVOm4Mknn8TChQst+hkMBowdOxbz5s1DmzZt6nY0REREREREVG8MRoFFiaZru5+8KxSeTiobR9Q0WVV4a7Va7Nu3DzExMRbtMTExSEpKqnKb5OTkSv0HDx6MvXv3QqfTmdveeOMNeHt7Y/LkydaERERERERERA3kf4cu4+SVQrio5ZgSxQHSupJb0zkrKwsGgwG+vr4W7b6+vsjMzKxym8zMzCr76/V6ZGVlwd/fH3/++SdWrVqFAwcO1DqWsrIylJWVmV/n5+cDAHQ6nUVBb28qYrPnGKnlYD6SvWFOkj1hPpK9YU5SY9MZjFhUfm33lLtaQyOvnIctPR9re/xWFd4VJBKJxWshRKW2mvpXtBcUFOAf//gHPvnkE3h5edU6hgULFmDevHmV2hMSEqDRaGq9H1tJTEy0dQhEZsxHsjfMSbInzEeyN8xJaizJVyQ4nyODk1zAL/844uOPV+rT0vOxuLi4Vv2sKry9vLwgk8kqjW5fvXq10qh2BT8/vyr7y+VyeHp64ujRozh37hwefPBB8/tGo9EUnFyOEydOoG3byhfwz5o1C3FxcebX+fn5CAoKQkxMDFxcXKw5rEal0+mQmJiI6OhoKBQKW4dDLRzzkewNc5LsCfOR7A1zkhpTmd6ItxfvBFCKadGdMKJfiMX7zEeTipnXNbGq8FYqlQgPD0diYiJGjBhhbk9MTMTDDz9c5TaRkZH46aefLNoSEhIQEREBhUKBTp064fDhwxbvv/rqqygoKMCSJUsQFBRU5X5VKhVUqsoX9isUiibxi28qcVLLwHwke8OcJHvCfCR7w5ykxrD2rzRcziuFr4sK4/uFQqGQVdmvpedjbY/d6qnmcXFxGDduHCIiIhAZGYmPP/4Y6enpmDp1KgDTSPSlS5fw+eefAwCmTp2KDz/8EHFxcXjqqaeQnJyMVatWYd26dQAAtVqNLl26WHwPNzc3AKjUTkRERERERA2rRGvAh1vOAABeuKc91NUU3VR7Vhfeo0aNQnZ2Nt544w1kZGSgS5cuiI+PR0iIaepBRkaGxT29Q0NDER8fjxkzZmDp0qUICAjA+++/j5EjR9bfURAREREREVG9+Cz5HLIKyxDk4YDHI6qegUzWqdPiarGxsYiNja3yvTVr1lRqGzhwIPbv31/r/Ve1DyIiIiIiImpY+aU6rNhmGu1+8d4OUMqtugM1VYM/RSIiIiIiIgIArN6ZhtxiHdp6O2JEz0Bbh9NssPAmIiIiIiIiXC/SYuWONADAjOgOkEmrv2U0WYeFNxEREREREWHF9jMoLNMjzN8FQ7v42zqcZoWFNxERERERUQt38XoxPv3zHADgpegOkHK0u16x8G5kaVlFOJnHJCYiIiIiIvvxzq8noNUb0beNB+4N87F1OM1OnVY1p7o5dDEXoz/eBWGQ4vHcEoR4t9wbzRMRERERkX1ISb+OHw9ehkQCvDrsDkgkHCisbxzxbkSd/FzQ1tsRxQYJXvz6EHQGo61DIiIiIiKiFkwIgfk/pwIARvZqhS6BrjaOqHli4d2IlHIpFo/qBgeZwIELeVj42wlbh0RERERERC1Y/OFM7Dt/HQ4KGV6O6WjrcJotFt6NLMhdg9FtTSPdH20/iz+OX7FxRERERERE1BKV6gx461fTaPczA9vAz1Vt44iaLxbeNtDdU2Bc32AAQNzXB3E5t8TGERERERERUUvzWdI5XMgpga+LCk8PaGPrcJo1Ft428srgDuga6IrcYh2mrUvh9d5ERERERNRosgvL8OEfpwEA/xzcCRol191uSCy8bUQll2LpmF5wVsmx9/x1LEo8aeuQiIiIiIiohViy+RQKyvToHOCCR3oG2jqcZo+Ftw0Fe2rw9qPdAADLt57BlhNXbRwRERERERE1d6evFmDt7nQAwJxhYZBKefuwhsbC28aGdvXH+MgQAMBLXx9EZl6pjSMiIiIiIqLm7M344zAYBaLv8EW/tl62DqdFYOFtB2YPDUPnABfkFGkxbV0K9Lzem4iIiIiIGsCOU9fwx/GrkEslmDWkk63DaTFYeNsBtUKGpWN6wUklx1/ncvDe77zem4iIiIiI6pfBKPCfn023DxsXGYI23k42jqjlYOFtJ1p7OeKtkV0BAMu2nsG2k9dsHBERERERETUn3+y9gOOZBXB1UODFe9vbOpwWhYW3HXmgWwD+0TcYQgAvrk/BhZxiW4dERERERETNQGGZHv8tv5PStHvbw02jtHFELQsLbzvz2gN3oHuQG3KLdXjmi30o0RpsHRIRERERETVxS34/iWsFZWjtqcG4viG2DqfFYeFtZ1RyGZaP7QVPRyWOZeRj9qbDEELYOiwiIiIiImqijmfmY/Wf5wAArz/UGUo5y8DGxp+4HQpwc8CHY3pBJpVgU8olfJZ0ztYhERERERFRE2Q0Cry66QgMRoH7O/thUEcfW4fUIrHwtlORbT3Ny/vP/zkVf6Xl2DgiIiIiIiJqar7dfxF7z1+HRinDvx68w9bhtFgsvO3Y5LtC8XCPAOiNArFr9yEzr9TWIRERERERURNxvUiLBfGm24dNv689AtwcbBxRy8XC245JJBIseKQrOvk5I6tQi2fX7kOZnoutERERERFRzd7+9TiuF+vQ0dcZk/qH2jqcFq1OhfeyZcsQGhoKtVqN8PBw7Nix45b9t23bhvDwcKjVarRp0wYrVqyweP+7775DREQE3Nzc4OjoiB49euCLL76oS2jNjkYpx0fjwuGiliMlPRfzfjpm65CIiIiIiMjO7Tt/Hev3XAAAzB/RBQoZx1xtyeqf/oYNGzB9+nTMmTMHKSkpiIqKwpAhQ5Cenl5l/7S0NAwdOhRRUVFISUnB7NmzMW3aNGzcuNHcx8PDA3PmzEFycjIOHTqESZMmYdKkSfjtt9/qfmTNSIinI5aM7gmJBPhqdzo27Kn6Z01ERERERKQ3GPHq90cAAI+Ft0Lv1h42joisLrwXLVqEyZMnY8qUKQgLC8PixYsRFBSE5cuXV9l/xYoVCA4OxuLFixEWFoYpU6bgySefxMKFC8197r77bowYMQJhYWFo27YtXnzxRXTr1g07d+6s+5E1M4M6+iDuvg4AgNe+P4oDF3JtGxAREREREdmlz5LPIzUjH24aBWYNDbN1OAQrC2+tVot9+/YhJibGoj0mJgZJSUlVbpOcnFyp/+DBg7F3717odLpK/YUQ2Lx5M06cOIEBAwZYE16z99ygdoi+wxdagxHPfrkPVwu42BoREREREf0tM68UixJOAABeub8TPByVNo6IAEBuTeesrCwYDAb4+vpatPv6+iIzM7PKbTIzM6vsr9frkZWVBX9/fwBAXl4eAgMDUVZWBplMhmXLliE6OrraWMrKylBWVmZ+nZ+fDwDQ6XRVFvT2oiK2usb49og7cOZqAc5mFWPKZ3uw9sneUCtk9RkitSC3m49E9Y05SfaE+Uj2hjlJtfHGT0dQpDWgZ5ArHunu12D5wnw0qe3xW1V4V5BIJBavhRCV2mrqf3O7s7MzDhw4gMLCQmzevBlxcXFo06YN7r777ir3uWDBAsybN69Se0JCAjQaTW0PxWYSExPrvO3oVsB712U4dDEfE5YmYnx7I27x4yeq0e3kI1FDYE6SPWE+kr1hTlJ1judKEJ8qgwQC0e7Z+PXXXxr8e7b0fCwuLq5VP6sKby8vL8hkskqj21evXq00ql3Bz8+vyv5yuRyenp7mNqlUinbt2gEAevTogdTUVCxYsKDawnvWrFmIi4szv87Pz0dQUBBiYmLg4uJizWE1Kp1Oh8TERERHR0OhUNR5P2G9cjBxzT7sz5birm7t8cI9besxSmop6isfieoLc5LsCfOR7A1zkm6lTGfAog+TARRjQmQInhraqUG/H/PRpGLmdU2sKryVSiXCw8ORmJiIESNGmNsTExPx8MMPV7lNZGQkfvrpJ4u2hIQERERE3PIXJISwmEp+M5VKBZVKValdoVA0iV/87cZ5VwdfzB/eBTO/O4z3t5xBez8XPNg9oB4jpJakqfy7oZaDOUn2hPlI9oY5SVX5cGsazucUw9dFhZfvD4NCUafJzVZr6flY22O3elXzuLg4rFy5EqtXr0ZqaipmzJiB9PR0TJ06FYBpJHr8+PHm/lOnTsX58+cRFxeH1NRUrF69GqtWrcLLL79s7rNgwQIkJibi7NmzOH78OBYtWoTPP/8c//jHP6wNr0V5ok8wptwVCgB4+ZuDXOmciIiIiKgFOp6Zj2VbTwMAXnvgDjipGqfoptqz+jcyatQoZGdn44033kBGRga6dOmC+Ph4hISEAAAyMjIs7ukdGhqK+Ph4zJgxA0uXLkVAQADef/99jBw50tynqKgIsbGxuHjxIhwcHNCpUyd8+eWXGDVqVD0cYvM2a2gY0rKKsPn4VUz5bC9+eL4/At0cbB0WERERERE1Ap3BiJe/OQidQSD6Dl8M6+pv65CoCnX6KCQ2NhaxsbFVvrdmzZpKbQMHDsT+/fur3d/8+fMxf/78uoTS4smkEiwZ3ROPLk/C8cwCTPlsL76dGglHfspFRERERNTsrdh6Bkcu5cPVQYH/DO9yy0WvyXasnmpO9sdJJcfKCRHwclIiNSMfL64/AINR2DosIiIiIiJqQMcz8/H+H6cAAPMe6gwfF7WNI6LqsPBuJlq5a/Dx+Ago5VL8nnoF7/x63NYhERERERFRA7l5ivnDPbjQsj1j4d2M9Ap2x7uPdgMAfLT9LDbsSa9hCyIiIiIiaooqppi7aRT4zwhOMbd3LLybmYd7BGLaPab7oc/edAR/HL9i44iIiIiIiKg+pWbcNMXcmVPM7R0L72ZoRnQHPNIrEAajwHNrU3ibMSIiIiKiZuLmKeYPdecU86aAhXczJJFI8PbIbhjQwRslOgOeXLMHaVlFtg6LiIiIiIhu0/KtZ3D0MqeYNzUsvJsphUyK5WN7oWugK3KKtBi/ejeuFZTZOiwiIiIiIqqj1Ix8fMAp5k0SC+9mzFElx+qJvRHsocGFnBJMWvMXCsv0tg6LiIiIiIisdOMU8xhOMW9yWHg3c97OKnz2ZB94OCpx5FI+nv1yH7R6o63DIiIiIiIiK9w4xXw+p5g3OSy8W4BQL0esntgbDgoZdpzKwsyNhyCEsHVYRERERERUC0cv53GKeRPHwruF6BHkhmX/6AWZVILvUi7h7V9P2DokIiIiIiKqQbFWjxfWpXCKeRPHwrsFGdTRB2890hUAsGLbGaz5M83GERERERER0a3M/fEozl4rgq+LCm+N7MYp5k0UC+8W5rGIILwc0wEAMO9/x/B9yiUbR0RERERERFX58eBlfL33IiQSYPGonvBwVNo6JKojFt4t0HOD2mFCZAiEAF765iB+PZJp65CIiIiIiOgG6dnFmP3dYQDAC4PaIbKtp40jotvBwrsFkkgkeP3BzhjZqxUMRoEX1u3H1hNXbR0WEREREREB0OqNeGHdfhSW6dG7tTum3dve1iHRbWLh3UJJpRK8PbIrhnX1h84g8MwX+7DrbLatwyIiIiIiavH+m3ACBy/mwdVBgcVP9IRcxrKtqeNvsAWTy6R4b1QP3NPJB2V6Iyav2YMDF3JtHRYRERERUYu17eQ1fLT9LADgnUe7IdDNwcYRUX1g4d3CKeVSLBvbC/3aeqJIa8D4Vbtx7HK+rcMiIiIiImpxrhaU4qWvDwAAxvUNweDOfrYNiOoNC2+CWiHDJ+MjEB7ijvxSPcat2o3TVwttHRYRERERUYthNAq89PVBZBVq0cnPGXOGhdk6JKpHLLwJAOCokmP1xN7oEuiC7CIt/rFyNy7kFNs6LCIiIiKiFuHjHWex41QW1AopPhzTE2qFzNYhUT1i4U1mrg4KfP7knWjv44TM/FKMWbkLGXkltg6LiIiIiKhZS0m/joW/nQAAzH2wM9r5ONs4IqpvLLzJgoejEmun3IkQTw0u5JRgzCe7WXwTERERETWQ60VavLAuBXqjwLBu/hjVO8jWIVEDYOFNlfi4qLF2yp1o5e6AtKwijPpoFy7lsvgmIiIiIqpPeoMRz6/bj4vXSxDsocGbI7pCIpHYOixqACy8qUqt3DXY8Ewkgj00SM8pxqiPknnNNxERERFRPXr71+P483Q2NEoZPh4fDlcHha1DogZSp8J72bJlCA0NhVqtRnh4OHbs2HHL/tu2bUN4eDjUajXatGmDFStWWLz/ySefICoqCu7u7nB3d8d9992Hv/76qy6hUT0KdHPAhmf6ItTLERevl2DUR8k4n11k67CIiIiIiJq8Hw5cwic70gAA/32sOzr5udg4ImpIVhfeGzZswPTp0zFnzhykpKQgKioKQ4YMQXp6epX909LSMHToUERFRSElJQWzZ8/GtGnTsHHjRnOfrVu3YvTo0diyZQuSk5MRHByMmJgYXLp0qe5HRvXC39UB65/ui7bejricV4pRH+3C2Wu81RgRERERUV0duZSH//v2EADguUFtMaSrv40jooZmdeG9aNEiTJ48GVOmTEFYWBgWL16MoKAgLF++vMr+K1asQHBwMBYvXoywsDBMmTIFTz75JBYuXGjus3btWsTGxqJHjx7o1KkTPvnkExiNRmzevLnuR0b1xtdFjfVPR5pXO3/i4128zzcRERERUR1kF5bhmS/2oUxvxKCO3oiL7mjrkKgRWFV4a7Va7Nu3DzExMRbtMTExSEpKqnKb5OTkSv0HDx6MvXv3QqfTVblNcXExdDodPDw8rAmPGpC3swrrn+6LTn7OuFpQhic+TsbJKwW2DouIiIiIqMnQGYx4/qsUXMotQaiXIxY/0RMyKRdTawnk1nTOysqCwWCAr6+vRbuvry8yMzOr3CYzM7PK/nq9HllZWfD3rzytYubMmQgMDMR9991XbSxlZWUoKyszv87PzwcA6HS6agt6e1ARmz3HWB0XlRSfTQzHxDX7kJpZgFEfJePzSRHo5Mf7DDZVTTkfqXliTpI9YT6SvWFONn3z448j+Ww2HJUyLB3dHRp50/19Mh9Nanv8VhXeFW5e4l4Icctl76vqX1U7ALzzzjtYt24dtm7dCrVaXe0+FyxYgHnz5lVqT0hIgEajuWX89iAxMdHWIdTZuFbA8gIZLhTpMOqjJEwNMyDEydZR0e1oyvlIzRNzkuwJ85HsDXOyafrrmgRrT8sAAE+EanFq73acsnFM9aGl52Nxce3u/GRV4e3l5QWZTFZpdPvq1auVRrUr+Pn5VdlfLpfD09PTon3hwoV488038fvvv6Nbt263jGXWrFmIi4szv87Pz0dQUBBiYmLg4mK/KwLqdDokJiYiOjoaCkXTvV3A4Bgdnvx8Pw5ezMOKEyosHd0Dd7XzrHlDsivNJR+p+WBOkj1hPpK9YU42XYcv5eGfK/cAMOL5u9vgxXvb2Tqk28Z8NKmYeV0TqwpvpVKJ8PBwJCYmYsSIEeb2xMREPPzww1VuExkZiZ9++smiLSEhARERERa/oHfffRfz58/Hb7/9hoiIiBpjUalUUKlUldoVCkWT+MU3lTir46lQ4Kun+mLql/uw41QWnv5yP94b1QMPdAuwdWhUB009H6n5YU6SPWE+kr1hTjYt1wrK8Ny6g9DqjbgvzAdxMZ0gbUbXdbf0fKztsVu9qnlcXBxWrlyJ1atXIzU1FTNmzEB6ejqmTp0KwDQSPX78eHP/qVOn4vz584iLi0NqaipWr16NVatW4eWXXzb3eeedd/Dqq69i9erVaN26NTIzM5GZmYnCQq6cbc8cVXKsnBCBB7r5Q2cQeGFdCr5IPmfrsIiIiIiI7EKxVo8pn+1BRl4p2ng7YtGoHs2q6Kbas/oa71GjRiE7OxtvvPEGMjIy0KVLF8THxyMkJAQAkJGRYXFP79DQUMTHx2PGjBlYunQpAgIC8P7772PkyJHmPsuWLYNWq8Wjjz5q8b1ef/11zJ07t46HRo1BJZdhyRM94eGoxOfJ5/HaD0eRVajF9Pva3/K6fyIiIiKi5kxfvoL5wYt5cNcosHJ8BFzULXdkuKWr0+JqsbGxiI2NrfK9NWvWVGobOHAg9u/fX+3+zp07V5cwyE7IpBLMe6gzPB1VeO/3k1iy+RRyirSY+1Bn3h6BiIiIiFocIQRe++EI/jh+FSq5FCsn9EYbb65G3JJZPdWcqCoSiQQv3tce/x7eBRIJ8MWu85i2PgVleoOtQyMiIiIialQf/nEa6/66AKkE+GB0T4SHuNs6JLIxFt5Ur8b1DcEHo3tCIZPg50MZmLxmLwrL9LYOi4iIiIioUXyz9wL+m3gSADDvoc6I6exn44jIHrDwpnr3QLcAfDqxDzRKGXaezsKoj5KRmVdq67CIiIiIiBrU9pPXMOu7wwCAZ+9ui3GRrW0bENkNFt7UIO5q74X1T/eFp6MSRy/n4+GlO3HkUp6twyIiIiIiahBHLuXh2S/3QW8UGN4jAP+M6WjrkMiOsPCmBtOtlRu+f64/2vs44Up+GR5bkYzEY1dsHRYRERERUb26kFOMSWv2oEhrQP92nnjn0e68bRhZYOFNDSrIQ4ONsf0Q1d4LJToDnv5iL1buOAshhK1DIyIiIiK6bbnFWkz89C9cKyhDJz9nLP9HOJRylllkiRlBDc5FrcDqib0x5s5gCAHM/zkVc74/Ap3BaOvQiIiIiIjqrFirx5TP9uLMtSL4u6qxZlIf3qubqsTCmxqFQibFf4Z3wavDwiCRAF/tTseTa/Ygr0Rn69CIiIiIiKxWojXgyTV7sPf8dTir5VgzqQ/8XNW2DovsFAtvajQSiQRTotrg43ER0Chl2HEqCyOXJ+FCTrGtQyMiIiIiqrVSnQFPfb4Xu87mwEklx+dP9kFHP2dbh0V2jIU3NbroO3zx9TOR8HNR4/TVQgxf+id2nc22dVhERERERDUq1RnwzBf7sPN0FjRKGdZM6o2ewe62DovsHAtvsokuga744fn+6BLoguwiLcau3M1F14iIiIjIrmn1RsSu3Y9tJ6/BQSHDpxN7I6K1h63DoiaAhTfZjK+LGt880w/DewTAYBSY/3Mqpq0/gGKt3tahERERERFZ0BmMeP6r/fjj+FWo5FKsmhCBO9t42josaiJYeJNNOShleG9UD8x98A7IpRL8dPAyRixNwrmsIluHRkREREQEANAbjHhxfQoSjl2BUi7FJ+Mj0K+dl63DoiaEhTfZnEQiwcT+oVj3dF94O6tw4koBHvxwJzanXrF1aERERETUwhmMAnFfH0T84UwoZVJ89I9wDOjgbeuwqIlh4U12o3drD/zvhbsQHuKOglI9Jn+2F+8lnoTRyOu+iYiIiKjxGYwC//zmIH48eBlyqQTLxvbCoE4+tg6LmiAW3mRXfF3UWPdUX0yIDAEALNl8CpM/24O8Yt7vm4iIiIgaj1ZvRNzXB/BdyiXIpBJ8OKYn7rvD19ZhURPFwpvsjlIuxbyHu2DR492hkkux5cQ1DPtgB/anX7d1aERERETUAhRr9Xjq87344YBppHvJEz1wfxd/W4dFTRgLb7Jbj/RqhY3P9kOQhwMuXi/BYyuSsXTLaU49JyIiIqIGk1usxT9W7sa2k9egVkjxyYQIPNAtwNZhURPHwpvsWpdAV/w8LQoPdjfdcuzd305g3OrduJJfauvQiIiIiKiZycwrxeMfJWN/ei5cHRRYO6UvBnXkNd10+1h4k91zUSvw/hM98M6j3eCgkOHP09kYsmQH/jjOVc+JiIiIqH6cvVaIkcuTcPJKIXxdVPhmaiTCQ9xtHRY1Eyy8qUmQSCR4PCII/5t2F+7wd0FOkRZPrtmLeT8dRZneYOvwiIiIiKgJO3wxD4+tSMal3BKEejni26n90MHX2dZhUTPCwpualLbeTtj0XD9M6t8aAPDpn+cwYmkSzlwrtG1gRERERNQkJZ3JwuhPdiG7SIsugS74Zmokgjw0tg6LmhkW3tTkqOQyvP5gZ6yaEAEPRyWOZeTjgfd34otd57nwGhERERHV2q9HMjBx9R4UlukR2cYT657qCy8nla3DomaIhTc1WfeG+eKXF6PQr60nSnQGvPb9EYxbvRsXrxfbOjQiIiIismNCCCzfegbPrt0PrcGI+zv74dNJveGsVtg6NGqm6lR4L1u2DKGhoVCr1QgPD8eOHTtu2X/btm0IDw+HWq1GmzZtsGLFCov3jx49ipEjR6J169aQSCRYvHhxXcKiFsjXRY0vJ9+Jfz1wB9QKKf48nY3B723H2t3nIQRHv4mIiIjIUqnOgBkbDuDtX49DCGDsncFYOrYX1AqZrUOjZszqwnvDhg2YPn065syZg5SUFERFRWHIkCFIT0+vsn9aWhqGDh2KqKgopKSkYPbs2Zg2bRo2btxo7lNcXIw2bdrgrbfegp+fX92PhlokqVSCJ+8KxS8vDkBEiDuKtAbM2XQE41f/hUu5JbYOj4iIiIjsRGZeKUZ9lIzvD1yGTCrBv4d3wX9GdIVMKrF1aNTMWV14L1q0CJMnT8aUKVMQFhaGxYsXIygoCMuXL6+y/4oVKxAcHIzFixcjLCwMU6ZMwZNPPomFCxea+/Tu3RvvvvsunnjiCahUvKaC6ibUyxEbnonEq8PCoJJLseNUFga/tx3r/krn6DcRERFRC3fgQi4e+nAnDl7Mg5tGgS8m98G4viG2DotaCLk1nbVaLfbt24eZM2datMfExCApKanKbZKTkxETE2PRNnjwYKxatQo6nQ4KRd2uoygrK0NZWZn5dX5+PgBAp9NBp9PVaZ+NoSI2e46xqZvQNwgD2nlg5qaj2J+ei1nfHUb8ocv4z/DO8HdV2zo8u8J8JHvDnCR7wnwke8OcrLsfDlzG7B+OQas3or2PI1aM7YlgDw1/lreB+WhS2+O3qvDOysqCwWCAr6+vRbuvry8yMzOr3CYzM7PK/nq9HllZWfD397cmBLMFCxZg3rx5ldoTEhKg0dj/8v+JiYm2DqHZGxcABEsk+Dldih2nsxG9aBuGBBkxwF9AxtlEFpiPZG+Yk2RPmI9kb5iTtWcUwP/Spdh82TTRt4u7EeNC8nBk11YcsXFszUVLz8fi4tot7GxV4V1BIrGsWoQQldpq6l9VuzVmzZqFuLg48+v8/HwEBQUhJiYGLi4udd5vQ9PpdEhMTER0dHSdR/up9h4A8Oy1Isz63jT6/f15GY6XOeONB8PQM9jN1uHZHPOR7A1zkuwJ85HsDXPSOgWlesR9cwhbL2cBAJ4dEIrp97aDlNdz1wvmo0nFzOuaWFV4e3l5QSaTVRrdvnr1aqVR7Qp+fn5V9pfL5fD09LTm21tQqVRVXg+uUCiaxC++qcTZHHQMcMO3U/vh670X8Navx3E8swCPf/IXRvcJwiv3d4KbRmnrEG2O+Uj2hjlJ9oT5SPaGOVmzgxdyMW19Cs5nF0Mll+KdR7vh4R6Btg6rWWrp+VjbY7dqcTWlUonw8PBK0wkSExPRr1+/KreJjIys1D8hIQEREREt+hdEjUsqleCJPsHYHDcQj4W3AgCs++sC7vnvNnyz9wIXXyMiIiJqBoxGgY+3n8HI5Uk4n12MQDcHfDM1kkU32ZzVq5rHxcVh5cqVWL16NVJTUzFjxgykp6dj6tSpAExTwMePH2/uP3XqVJw/fx5xcXFITU3F6tWrsWrVKrz88svmPlqtFgcOHMCBAweg1Wpx6dIlHDhwAKdPn66HQyT6m6eTCu8+1h1fPxOJDr5OyCnS4p/fHsKoj3bh5JUCW4dHRERERHWUVViGSWv24M3449AbBYZ19Uf8i1Ho1srN1qERWX+N96hRo5CdnY033ngDGRkZ6NKlC+Lj4xESYlqKPyMjw+Ke3qGhoYiPj8eMGTOwdOlSBAQE4P3338fIkSPNfS5fvoyePXuaXy9cuBALFy7EwIEDsXXr1ts4PKKq9Qn1wM/TorB6ZxoW/34Kf53LwdAlOzAuMgQv3tue08+JiIiImpCdp7Iw4+sDuFZQBpVcitcf7IzRfYJua00povpUp8XVYmNjERsbW+V7a9asqdQ2cOBA7N+/v9r9tW7dmlN9qdEpZFI8M7AtHugegHk/HkXCsSv49M9z2LjvIqbd2x7jIkOgkstsHSYRERERVUNnMGJR4kms2HYGQgAdfJ3w4Zhe6ODrbOvQiCxYPdWcqLkJdHPAx+Mj8OXkO9HJzxn5pXrM/zkV0Yu2I/5wBj8UIiIiIrJDF3KK8fhHyVi+1VR0j70zGD8+fxeLbrJLdRrxJmqO7mrvhZ+nRWHjvot4N+EE0nOKEbt2PyJC3DFnWBh6BrvbOkQiIiKiFs9oFFi3Jx1vxR9HQZkeLmo53h7ZDUO6+ts6NKJqsfAmuoFMKsHjvYMwrJs/Ptp+Fh9vP4O9569jxLIkPNg9AP83uCOCPDS2DpOIiIioRUrLKsLMjYewOy0HABAe4o4lT/RAK3f+fUb2jYU3URUcVXLERXfAmD7BWJhwAhv3X8RPBy/j1yMZeKJ3MGIHtYW/q4OtwyQiIiJqEfQGI1buTMN7iSdRpjfCQSHDPwd3xIR+rSGTcgE1sn8svIluwc9VjYWPdcfEfq2x4JdU/Hk6G1/sOo8Ney9gTJ9gxN7dFj4ualuHSURERNRsHb2ch1c2HsKRS/kAgKj2XnhzRFfOQqQmhYU3US10CXTF2il9kXwmG+8lnsRf53KwJukc1v2Vjn/0DcHUgW3h7ayydZhEREREzUapzoD3N5/CR9vPwmAUcHVQ4LUH7sDIXoG8TRg1OSy8iawQ2dYTfdv0RdKZbCxKPIl9569j1c40rN19HhMiW+PpAW3g6cQCnIiIiOh2JJ3JwqubjuBsVhEAYFhXf7z+0B3wceZMQ2qaWHgTWUkikaB/Oy/0a+uJ7aey8F7iSRy4kIuPtp/FF7vOY0yfYDx5VygC3HgNOBEREZE10rKK8GZ8KhKPXQEA+Dir8O/hXTC4s5+NIyO6PSy8iepIIpFgYAdvDGjvha0nrmFR4kkcvpSHlTvTsCbpHB7sHoCnB7RBmL+LrUMlIiIismt5JTp8sPkUPks+B51BQCaVYOydwXgppiNcHRS2Do/otrHwJrpNEokEgzr54O6O3th68ho+3nYWyWezsSnlEjalXMKADt54ZkAb9GvryeuRiIiIiG6gNxix7q90vPf7KeQUaQEAd3f0xpyhYWjv62zj6IjqDwtvonoikUgwqKMPBnX0waGLufh4+1nEH87A9pPXsP3kNXQOcMHTA9pgWFd/yGVSW4dLREREZFPbTl7D/P8dw6mrhQCAdj5OmDMsDIM6+tg4MqL6x8KbqAF0a+WGD8f0Qnp2MVbtPIuv917E0cv5eHH9Abzz6wmM7hOEUb2DuRI6ERERtTiHLuZiUeJJbD1xDQDgrlFgRnQHjO4TDAUHJ6iZYuFN1ICCPTWY93AXTL+vA77YdR6fJZ3DpdwSLEw4iSWbT2FwZz+MvTMEfdt4cBo6ERERNWsHLuRiye8nsaW84JZLJZjQrzWm3dMerhpex03NGwtvokbg7qjEtHvb4+kBbRB/OANf7jqP/em5+N+hDPzvUAba+Thh7J3BeKRXKy4gQkRERM3K/vTrWPL7KWw7aSq4pRJgeI9AvHBve4R6Odo4OqLGwcKbqBGpFTI80qsVHunVCkcv5+HLXen44cAlnL5aiHk/HcM7v57AQ90DMKpPEHoGuXEUnIiIiJqsvedysGTzKew4lQUAkEklGNEzEM8NaseCm1ocFt5ENtI5wBULHumK2UM7YVPKJXy56zxOXinEhr0XsGHvBYR6OWJEz0CM6BmIIA+NrcMlIiIiqpEQAklnsrFs62n8eTobgGlK+SO9TAV3iCcLbmqZWHgT2ZizWoHxka0xrm8I9p6/jnW70/HLkUykZRVhUeJJLEo8iT6tPTCiVyCGdvXnVHQiIiKyO0VlenyXcgmfJ50zr1Iul0rwWEQrxN7djoMI1OKx8CayExKJBL1be6B3aw/8e7gevx7JxKaUS/jzTBb+OpeDv87l4PUfjyI6zBfDewYiqr0X1AqZrcMmIiKiFux8dhE+Tz6Pr/deQEGpHgCgUcrwaHgrPD2gDVq5s+AmAlh4E9klR5UcI8NbYWR4K2TkleCHA5fx3f6LOHmlED8fzsDPhzPgqJRhUCcfDOnij7s7esNRxX/ORERE1PCEENhxKgufJZ3DHyeuQghTe2tPDcZHtsajEa3gouYMPaIb8S91Ijvn7+qAqQPb4pkBbXD0cj6+238J8YczkJlfal4VXSWXYkAHb9zf2Q/3hfnylhxERERU7y7lluD7lEvYuP8izl4rMrcP7OCNif1bY2B7b0ilXBiWqCosvImaCIlEgi6BrugS6IpXh4Xh4MVc/HokE78cyUR6TjESj11B4rErkEsliGzrifvCfHF3R28uYkJERER1VlCqwy9HMrFp/yXsSss2j247qeR4NLwVxkeGoI23k22DJGoCWHgTNUFSqQQ9g93RM9gdM4d0wvHMAvxyJBO/HcnEiSsF2HEqy3zrjtaeGgzs4I2BHb3Rt40nNEr+syciIqLq6Q1G7DidhU37LyHhWCZKdUbze33beOCRnq0wtJs/nHiZG1Gt8V8LURMnkUgQ5u+CMH8XxEV3wNlrhfjt6BVsO3kVe89dx7nsYpxLPo/Pks9DKZOiT6gHBnbwxoAO3gj1UNk6fCK6DUII6AwCWoMRWr0Ruhu+6o0CeoOAwSigMxphKH+tN5reE0JACMAoAKMwva54bhR/fw8JAImk4rnkhuemDwHlUgmkUglkEglk0r8fUokECpkECpm0/PH3c6VMCoXc9FoulUAi4dRUIlvT6o3YnZaNxGNXEH84E1mFZeb32no74pFerfBwjwAulkZURyy8iZqZNt5OePZuJzx7d1sUlOqQfCYb205ew9YT13AptwQ7T2dh5+ks/Cc+Fe4aBYLUUlxxO49+7bwR5u8CGa/NIqoXQgiU6AwoLNWjsEyPojIDCsv0KNHpUaw1mB5lehTrDCipeK3Vo1RnRKnOUP4wolRv+lpW0aY3FddavRFag7HmQOycVAKo5DKoFFKob/qqkkuhVsjgoJBBo5TBQSm/4bnpq+khh5NKDkeVHI4qmfm5k0oOlVzKwp6oGnklOmw9cRWJx65g24lrKCjTm9/zcFTioe4BGNEzEN1aufLfEdFtqlPhvWzZMrz77rvIyMhA586dsXjxYkRFRVXbf9u2bYiLi8PRo0cREBCA//u//8PUqVMt+mzcuBGvvfYazpw5g7Zt2+I///kPRowYUZfwiKics1qBmM5+iOnsByEEzmYVYduJa9h68hr+SsvG9WIdrhdLceiXEwBOwFklR0Rrd9zZxhN9Qj3QJcAVSrnU1odB1OiMRoFCrR75JTrkleiQX6JHfqkOBaV6FJSaXhdUvC4zfc0v1aOwVIeiMgOKyvQo0uotRo4bg0wqMY0myySQy6SQSSVQSCWQySSQS02jyzKpBHKZaURaIpFAKgGk5V8rXleMbAsBCJgOwvS8XHm7wVj+EAIGI2AoH1mvaNMbTCPyOoPxhoflD8UogBKdASU6AwBdg/xMHJUyuDgo4KxWwFkth4taDme1wvzVWS2Hi4MCrg4KuDkozM8dFTBfz0rUXFzIKcbvqVfwe+oV7D6bA/0NJyovJxXuC/NB9B2+GNDBGwoZ/wYgqi9WF94bNmzA9OnTsWzZMvTv3x8fffQRhgwZgmPHjiE4OLhS/7S0NAwdOhRPPfUUvvzyS/z555+IjY2Ft7c3Ro4cCQBITk7GqFGj8O9//xsjRozApk2b8Pjjj2Pnzp248847b/8oiQgSiQRtvZ3Q1tsJT94VCq3eiAPns/HFb8nIV/ti//lcFJTpseXENWw5cQ0AoJRJEebvjG6t3NA9yA3dW7mijbcTR8WpySjVGZBbrENuidb0tViHvPLneSU65JbokFf+fkWBnVeiQ0Gprt6KZokEcFKaRmA1KhkclXI4KGVwLB+pdbhh1FajNI3uqhVSqBQyqBUyqMtHfdUV7XIZVHIpFHLTlG2l3DQyrCgvtO2dEAJ6ozBPi9fqjaYRfb0BZXrTaH+Z3vS6YvS/WGuaFVBifl4+a6B8tkDFBx0VswqKykzvA4DBKJBf/sEIUGJ1vBLIMPfgFrhpFHDVKOGuMRXnbhol3DVKuDuainR3jRIejkq4OyrhoVHCQSmr558cUd1czS9F8tlsJJ/JRvLZbJzPLrZ4v72PE+67wxfRd/iiRys3rkpO1EAkQlj3We6dd96JXr16Yfny5ea2sLAwDB8+HAsWLKjU/5VXXsGPP/6I1NRUc9vUqVNx8OBBJCcnAwBGjRqF/Px8/PLLL+Y+999/P9zd3bFu3bpaxZWfnw9XV1fk5eXBxcXFmkNqVDqdDvHx8Rg6dCgUCt7yiWzrxnyUyuRIzcjH7rQc/JWWjb/ScnC9uPLok6NShi6Bruge5Iauga7o5OeM1l6O/FSc6kV150ghBArK9LhepDXN1CjS4nqxFjlFpiL6evHfX68X65BbbHr/xgWB6kIpl8LVwTQyWtWIqbNKDucbRk2d1HI4qxQW0501ShmnaNqAwShQbC7Gdcgv1ZtnLFQ1cyGvfHbDjY8yfd3zR62QwkOjhIeT8u+iXKOEp6OpzdNRCQ9HFTzLn7uoFSx4qEa1+Tsyq7AMu24otG+87RdgurwjorUHosN8cd8dvgj14t1PqG5Y15jUtg61asRbq9Vi3759mDlzpkV7TEwMkpKSqtwmOTkZMTExFm2DBw/GqlWroNPpoFAokJycjBkzZlTqs3jx4mpjKSsrQ1nZ34s+5OfnAzAlgE5X/1PV6ktFbPYcI7UcN+ajAkBHHw06+mgw/s5WEEIg/XoJDl/Mw+FL+Th0KQ/HMgpQpDVgd1oOdqflmPejkEnQ1ssR7X2d0NHXGe19ndDBxwmBbmoWHFSJEAKFZQZzkXy9WIvrRabR56yCUhw5I8X/1qYgr1R/QyGts5gOaQ2ZVAJXBzncyqcPV0wndtUo4Kqu+CqHq0YBF/XfRbarWg6V4nZHLQX0en3N3ahBqGWAWiODp6Zuv8fCklL89Nsf6NGnH4p0onz2hM48e8I8k+KGtpxiLXQGgVKdEZfzSnE5r7RW30smlcBdo4Cno6kQdy//6umohKeTaRTd01ywK+Gk4gc6LdHNf0eW6gw4llGAw5dM/68+fCkPZ7MsR7QlEuAOf2f0DfXAnaEeiAhxh7NaXmmfRNZiXWNS2+O3qvDOysqCwWCAr6+vRbuvry8yMzOr3CYzM7PK/nq9HllZWfD396+2T3X7BIAFCxZg3rx5ldoTEhKg0dj/aouJiYm2DoHI7Fb5KAXQHUD3AMDoD2SWAOmFEqQXSnCxSIKMYkBrAI5fKcTxK4X4CX//u1XJBHzUgLdawFsNeDsIeJU/d5T/vVIyNV1CACUGoFgPFOmAQr0ExXqgUAcU6yUo1APFOqBQDxTpJCjSA0V6wCBu9cuXAlevVfmOUirgKAccFYCjvPz5Da815a81ir/fU8sAiUSHKqcZl5Y/ABSXP6r/Pw+1RK5KIO3A34MLmvJHAAAoALiWP8oJAZQZK/49/J33heX/Pop0pucFOkn5+0CJQQKDUSCrUIusQm2t4lJIBJwUgJMCcFaI8q+Wz50UwvRVDnBSUtOnNQBXSoD0IgnWrdiMC4Wm/wcbUfl86q8RaO8i0N5VoJ2LgEZ+HTBeR8mZM9hxxgbBU7PW0uua4uLimjuhjour3fwJqxDilp+6VtX/5nZr9zlr1izExcWZX+fn5yMoKAgxMTF2P9U8MTER0dHRLXpKBtmH+shHo1Hgcl4pTlwpwKkrhTh5tRAnrxTibFYRygzAhSLgQlHlf8vOajlCPDQI8dDA300NPxcV/F3V5oeHRslpl41ICIEircE8xTa/RH/DKJ7W9LxEZ742+nrx38/rOhLtoJCWXydruj7WXaOAq4MM2ZfTEdG1E7ycHUzX097wvvq2R6CJaq+x/p+t1RtxvViL7CItcop05V+1yC7U/v284lFYhhKdETohwXUtcF0LoIrC62auDnLzaLmHo7KK5wrzqLqbgwJyVuo2U1Cqw+lrRTh9tQhnrhXizLUinL5WhEu5JVUu9uflpETXQBd0DXRFt/KvHo7Kxg+cWhzWNSYVM69rYlXh7eXlBZlMVmkk+urVq5VGrCv4+flV2V8ul8PT0/OWfarbJwCoVCqoVJXvQaxQKJrEL76pxEktw+3mY6iPEqE+Lri/699tOoMRaVlFSMsqwrmsItP9xLOKcD67CJfzSlFQqseRy/k4crnqk5VSJoWvqwr+rg7wdVHD01EJLyclPJ1U5VMvVebXjryGFkajQJFWb15YKr/UtCJ3/g3XsuaX6pBfYnk9a355QZ1/GwU0ADgoZPBwVMJNoyj/qoSHxrQA1Y0LTlW8717N4lOm68XOY2i/UJ4jyW409P+zFQrA0UGFVp6161+s1SO7UIuswrLy4rwMWYVac1tOUfl75UW7wSiQV6JHXom+0jTk6rhpTIW4u2PFNeoK87/jv78q4OpQ8aEZi/Xa0uqNyMwrxcXrxbiYW4KL10tw6XoJLl4vxrnsIlzJL6t2W3eNAj6KMtzTvS16hHigWytX+Lnwsi6yrZZe19T22K0qvJVKJcLDw5GYmGhxq6/ExEQ8/PDDVW4TGRmJn376yaItISEBERER5iAjIyORmJhocZ13QkIC+vXrZ014RGRHFDIpOvg6o4Ovc6X3SnUGpOeYCvH0nGJczi1FRl4JLueVIiO3BNcKy6A1GHEhpwQXcmpehbhiASzToleK8kWwKp6bvjqp5FAr/r4nsIN59WjTc7VCBoXUdAsmuUwCudR0+yWFTFKnP2iM5lssmVZvNhhNKznrDcK8enNZ+UrOWr3RvIpzmd5ovsdziVZ/wyrOhr/v/aw1FdcF5UV2YakeReUrON8upUxquubZ4e+Vm00jzjc+V/69qrOj6TVHookaj0Yph8ZDjiCPmi+tMxoF8kp0lYpzU1FeZjGqnlO+aKEQMF+zjqyiGr9HBWeVHG6OCrg5mM4VruW3ZrvxXHzj+dnVoeLe63I4KuVNYlX+6ghhWj0/u/xnm1VQhqzyGQoVH5BcKyjDpdwSZOaX1nibOl8XFdr7OKOdj5P50d7HCS4qqWkxq+j2LbrQIWqKrJ5qHhcXh3HjxiEiIgKRkZH4+OOPkZ6ebr4v96xZs3Dp0iV8/vnnAEwrmH/44YeIi4vDU089heTkZKxatcpitfIXX3wRAwYMwNtvv42HH34YP/zwA37//Xfs3Lmzng6TiOyJWiGrtigHTKPlV/JLkZFXisu5JbhWUGaeYpldqDX/MZNTpEWx1lS4Xisow7WC6kcJboes/N7HshoKcAEBoxHQG42Nfv/mCnKpBI7lK21X/LFrul/xjc/L/+itKLDNhbYSaoWUIydEzYhUKjGNWjsq0c6n5v4GozDfMeDvuwfoLNpybrijQG6xtvxWbUBB+QeCF+pw2zbANHPGUSWHk0p2Q0Euq3w7PYUUavnfbYrye9fLpBVf/75vvbz8dcV96CsudxTl/xEQEALQGQS0N9ziTqs3QGswfUCqNZg+HC0oNc0qKizVobCsYpX88rYyPQxWnPhVcikC3R0Q6OaAVu4OaOWuQaCbA4I8NGjv6wQXddVFdUtfxIqoKbO68B41ahSys7PxxhtvICMjA126dEF8fDxCQkIAABkZGUhPTzf3Dw0NRXx8PGbMmIGlS5ciICAA77//vvke3gDQr18/rF+/Hq+++ipee+01tG3bFhs2bOA9vIlaKIVMilbuGrRyr3k0p2LKZX75LYGqm15dXH4P4FKd6WuJ9u/npTojSnQG6A1VF8wGo7DqD6pbkUslUMlN92hWld9/ueIPSaVMCpVCWj4iL4emfDReU/5wKL/Ps0ZpulVVxe2qnFSm21g5qeRQyVk4E1HdyaQSeDmp4OVU+XK+6ugNRuSX34XAtPbD33cqqOpSl/xSHfJLdcgr1qFIazCfX0vKz8lZhQ11dA3PSSU3XwZl/uqohJezCp6OKnOx7eWk5LmaqIWp0+JqsbGxiI2NrfK9NWvWVGobOHAg9u/ff8t9Pvroo3j00UfrEg4RtWAVUy7ri9EooDMay6eIC+jLp4nrjALGWhTfppGW8hEXmfTv5+Vf+YcWETU3cpnUvFCbtYQQKNMbUVRWcc91PYrN61UYUKTVo6z8A9JSnQGl+huel3/V3XCeNhiN0BlMH5bqDUbob/jgVCKRQALTHTUkEkACSflX07lbJZdBKZeaHyrZDc/lUjipTNPkndRyON/wgaez2tTu6sAFIImoevX31yoRUTMglUqgkvIPJyKixiCRSMxTyT2dbB0NEVHD4fKTRERERERERA2IhTcRERERERFRA2LhTURERERERNSAWHgTERERERERNSAW3kREREREREQNiIU3ERERERERUQNi4U1ERERERETUgJrNfbyFEACA/Px8G0dyazqdDsXFxcjPz4dCobB1ONTCMR/J3jAnyZ4wH8neMCfJnjAfTSrqz4p6tDrNpvAuKCgAAAQFBdk4EiIiIiIiImpJCgoK4OrqWu37ElFTad5EGI1GXL58Gc7OzpBIJLYOp1r5+fkICgrChQsX4OLiYutwqIVjPpK9YU6SPWE+kr1hTpI9YT6aCCFQUFCAgIAASKXVX8ndbEa8pVIpWrVqZeswas3FxaVFJyjZF+Yj2RvmJNkT5iPZG+Yk2RPmI2450l2Bi6sRERERERERNSAW3kREREREREQNiIV3I1OpVHj99dehUqlsHQoR85HsDnOS7AnzkewNc5LsCfPROs1mcTUiIiIiIiIie8QRbyIiIiIiIqIGxMKbiIiIiIiIqAGx8CYiIiIiIiJqQCy8iYiIiIiIiBoQC+9GcP36dYwbNw6urq5wdXXFuHHjkJube8ttJk6cCIlEYvHo27dv4wRMzcqyZcsQGhoKtVqN8PBw7Nix45b9t23bhvDwcKjVarRp0wYrVqxopEippbAmJ7du3VrpXCiRSHD8+PFGjJiaq+3bt+PBBx9EQEAAJBIJvv/++xq34TmSGoq1+cjzIzWkBQsWoHfv3nB2doaPjw+GDx+OEydO1Lgdz5HVY+HdCMaMGYMDBw7g119/xa+//ooDBw5g3LhxNW53//33IyMjw/yIj49vhGipOdmwYQOmT5+OOXPmICUlBVFRURgyZAjS09Or7J+WloahQ4ciKioKKSkpmD17NqZNm4aNGzc2cuTUXFmbkxVOnDhhcT5s3759I0VMzVlRURG6d++ODz/8sFb9eY6khmRtPlbg+ZEawrZt2/Dcc89h165dSExMhF6vR0xMDIqKiqrdhufIW+PtxBpYamoq7rjjDuzatQt33nknAGDXrl2IjIzE8ePH0bFjxyq3mzhxInJzc2v16TtRde6880706tULy5cvN7eFhYVh+PDhWLBgQaX+r7zyCn788Uekpqaa26ZOnYqDBw8iOTm5UWKm5s3anNy6dSsGDRqE69evw83NrREjpZZGIpFg06ZNGD58eLV9eI6kxlKbfOT5kRrTtWvX4OPjg23btmHAgAFV9uE58tY44t3AkpOT4erqai66AaBv375wdXVFUlLSLbfdunUrfHx80KFDBzz11FO4evVqQ4dLzYhWq8W+ffsQExNj0R4TE1Nt7iUnJ1fqP3jwYOzduxc6na7BYqWWoS45WaFnz57w9/fHvffeiy1btjRkmETV4jmS7BHPj9QY8vLyAAAeHh7V9uE58tZYeDewzMxM+Pj4VGr38fFBZmZmtdsNGTIEa9euxR9//IH//ve/2LNnD+655x6UlZU1ZLjUjGRlZcFgMMDX19ei3dfXt9rcy8zMrLK/Xq9HVlZWg8VKLUNdctLf3x8ff/wxNm7ciO+++w4dO3bEvffei+3btzdGyEQWeI4ke8LzIzUWIQTi4uJw1113oUuXLtX24zny1uS2DqCpmjt3LubNm3fLPnv27AFgmi50MyFEle0VRo0aZX7epUsXREREICQkBD///DMeeeSROkZNLdHNeVZT7lXVv6p2orqyJic7duxocUlOZGQkLly4gIULF1Y71Y2oIfEcSfaC50dqLM8//zwOHTqEnTt31tiX58jqsfCuo+effx5PPPHELfu0bt0ahw4dwpUrVyq9d+3atUqfCN2Kv78/QkJCcOrUKatjpZbJy8sLMpms0kji1atXq809Pz+/KvvL5XJ4eno2WKzUMtQlJ6vSt29ffPnll/UdHlGNeI4ke8fzI9W3F154AT/++CO2b9+OVq1a3bIvz5G3xsK7jry8vODl5VVjv8jISOTl5eGvv/5Cnz59AAC7d+9GXl4e+vXrV+vvl52djQsXLsDf37/OMVPLolQqER4ejsTERIwYMcLcnpiYiIcffrjKbSIjI/HTTz9ZtCUkJCAiIgIKhaJB46Xmry45WZWUlBSeC8kmeI4ke8fzI9UXIQReeOEFbNq0CVu3bkVoaGiN2/AcWQNBDe7+++8X3bp1E8nJySI5OVl07dpVPPDAAxZ9OnbsKL777jshhBAFBQXipZdeEklJSSItLU1s2bJFREZGisDAQJGfn2+LQ6Amav369UKhUIhVq1aJY8eOienTpwtHR0dx7tw5IYQQM2fOFOPGjTP3P3v2rNBoNGLGjBni2LFjYtWqVUKhUIhvv/3WVodAzYy1Ofnee++JTZs2iZMnT4ojR46ImTNnCgBi48aNtjoEakYKCgpESkqKSElJEQDEokWLREpKijh//rwQgudIalzW5iPPj9SQnn32WeHq6iq2bt0qMjIyzI/i4mJzH54jrcPCuxFkZ2eLsWPHCmdnZ+Hs7CzGjh0rrl+/btEHgPj000+FEEIUFxeLmJgY4e3tLRQKhQgODhYTJkwQ6enpjR88NXlLly4VISEhQqlUil69eolt27aZ35swYYIYOHCgRf+tW7eKnj17CqVSKVq3bi2WL1/eyBFTc2dNTr799tuibdu2Qq1WC3d3d3HXXXeJn3/+2QZRU3O0ZcsWAaDSY8KECUIIniOpcVmbjzw/UkOqKhdvrFeE4DnSWryPNxEREREREVED4u3EiIiIiIiIiBoQC28iIiIiIiKiBsTCm4iIiIiIiKgBsfAmIiIiIiIiakAsvImIiIiIiIgaEAtvIiIiIiIiogbEwpuIiIiIiIioAbHwJiIiIiIiImpALLyJiIiIiIiIGhALbyIiIiIiIqIGxMKbiIiIiIiIqAGx8CYiIiIiIiJqQP8PtmzeIBP5YxoAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "n = 3\n",
    "xdata = range(0.0, pi/2, N)\n",
    "ydata = sin.(xdata)\n",
    "for n in 0:3\n",
    "    figure(figsize=[12,4])\n",
    "    plot(xdata, ydata, \"b*\", label=\"sin(x) data\")\n",
    "    xplot = range(-0.5, pi/2 + 0.5, 100)\n",
    "    plot(xplot, sin.(xplot), \"b\", label=\"sin(x) curve\")\n",
    "    c = polyfit(xdata, ydata, n)\n",
    "    println(\"For degree $n the coefficients are \", c)\n",
    "    plot(xplot, polyval.(xplot, coeffs=c), \"r\", label=\"Degree $n least squares fit\")\n",
    "    legend(loc=\"best\")\n",
    "    # Errors:\n",
    "    figure(figsize=[12,3])\n",
    "    plot(xplot, sin.(xplot) - polyval.(xplot, coeffs=c))\n",
    "    title(\"errors fitting to degree $n at N = 10 points\")\n",
    "    grid(true)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "advanced-january",
   "metadata": {},
   "source": [
    "What if we fit at more points?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f13883f1-f06e-4111-a39e-3b8d7f06616b",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are [-0.002007892581016861, 1.0264756845620808, -0.06970463260725364, -0.11371819516982211]"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x300 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 50\n",
    "xdata = range(0.0, pi/2, N)\n",
    "ydata = sin.(xdata)\n",
    "\n",
    "figure(figsize=[12,4])\n",
    "plot(xdata, ydata, \"b.\", label=\"sin(x) data\")\n",
    "plot(xplot, sin.(xplot), \"b\", label=\"sin(x) curve\")\n",
    "c = polyfit(xdata, ydata, n)\n",
    "print(\"The coefficients are \", c)\n",
    "plot(xplot, polyval.(xplot, coeffs=c), \"r\", label=\"Cubic least squares fit\")\n",
    "legend(loc=\"best\")\n",
    "grid(true)\n",
    "# Errors:\n",
    "figure(figsize=[12,3])\n",
    "plot(xplot, sin.(xplot) - polyval.(xplot, coeffs=c))\n",
    "title(\"errors fitting at N = 50 points\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "compatible-republican",
   "metadata": {},
   "source": [
    "Not much changes!\n",
    "\n",
    "This hints at another use of least squares fitting:\n",
    "fitting a simpler curve (like a cubic) to a function (like $\\sin(x)$), rather than to discrete data;\n",
    "this is essentialy given by the limit as the number of fitting points goes to infinity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "musical-illness",
   "metadata": {},
   "source": [
    "## Nonlinear fitting: power-law relationships\n",
    "\n",
    "When data $(x_i, y_i)$ is inherently positive, it is often natural to seek an approximate power law relationship\n",
    "\n",
    "$$ y_i \\approx c x_i^p$$\n",
    "\n",
    "That is, one seeks the power $p$ and scale factor $c$ that minimizes error in some sense.\n",
    "\n",
    "When the magnitudes and the data $y_i$ vary greatly, it is often appropriate to look at the relative errors\n",
    "\n",
    "$$ e_i = \\left| \\frac{c x_i^p - y_i}{y_i} \\right| $$\n",
    "\n",
    "and this can be shown to be very close to looking at the absolute errors of the logarithms\n",
    "\n",
    "$$ |\\ln(c x_i^p) - \\ln(y_i)| = |\\ln(c) + p \\ln(x_i) - \\ln(y_i)| $$\n",
    "\n",
    "Introducing the new variables $X_i = \\ln(x_i)$, $Y_i = \\ln(Y_i)$ and $C = \\ln(c)$,\n",
    "this becomes the familiar problem of finding a linear approxation of the data $Y_i$ by $C + p X_i$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "conditional-cream",
   "metadata": {},
   "source": [
    "## A simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "rural-arlington",
   "metadata": {},
   "outputs": [],
   "source": [
    "cexact = 2.0\n",
    "pexact = 1.5\n",
    "xmin = 0.01\n",
    "xmax= 100.0\n",
    "N = 100\n",
    "x = (10.0).^range(log(xmin), log(xmax), N)\n",
    "xplot = (10.0).^range(log(xmin), log(xmax), 100)  # For graphs later\n",
    "yexact = cexact * x.^pexact\n",
    "y = yexact .* (1.0 .+ (rand(N) .- 0.5)/2.0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "determined-compromise",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA94AAAIICAYAAACYfTatAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAA9hAAAPYQGoP6dpAABQ5klEQVR4nO3de3wU9d33//ck2SwJkCAGSIIJoAXLIUA4CEEFqRBFodKo5K5eiBZqKbVyqD8v4zFUK3q3SqAKnonoBaS9OOktvSRqOSjBIhAEUSo2GBo2YrgkAQJJSOb3x5KVJQlkYyY72X09H488lvnOd2c/w4dpfWdmZwzTNE0BAAAAAABLhPi7AAAAAAAAAhnBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALBVzw3rRpkyZMmKD4+HgZhqE1a9b49P7MzEwZhlHnp23bttYUDAAAAAAIaAEXvE+cOKEBAwboueeea9L777vvPrlcLq+fPn366NZbb23mSgEAAAAAwSDggve4ceP0xBNPKC0trd71lZWVuv/++9W1a1e1bdtWw4YN04YNGzzr27Vrp9jYWM/PN998o71792rq1KkttAcAAAAAgEAS5u8CWtpdd92lAwcOaMWKFYqPj9fq1at1/fXXa/fu3erZs2ed+a+88op69eqlq6++2g/VAgAAAABau4A7430+X331lZYvX66//vWvuvrqq3XZZZfpvvvu01VXXaUlS5bUmV9RUaH/+q//4mw3AAAAAKDJguqM944dO2Sapnr16uU1XlFRoYsvvrjO/FWrVunYsWO64447WqpEAAAAAECACargXVNTo9DQUG3fvl2hoaFe69q1a1dn/iuvvKLx48crNja2pUoEAAAAAASYoAreycnJqq6u1uHDhy/4ne2CggL9/e9/11tvvdVC1QEAAAAAAlHABe/jx49r//79nuWCggLl5+erY8eO6tWrl26//XbdcccdeuaZZ5ScnKySkhJ98MEHSkpK0g033OB532uvvaa4uDiNGzfOH7sBAAAAAAgQhmmapr+LaE4bNmzQ6NGj64xPmTJF2dnZqqqq0hNPPKGlS5eqqKhIF198sVJSUjR37lwlJSVJcl+S3q1bN91xxx36wx/+0NK7AAAAAAAIIAEXvAEAAAAAsJOgepwYAAAAAAAtLWC+411TU6NDhw6pffv2MgzD3+UAAAAAAAKcaZo6duyY4uPjFRLS8HntgAnehw4dUkJCgr/LAAAAAAAEmYMHD+qSSy5pcH3ABO/27dtLcu9wVFSUn6tpWFVVldavX6/U1FQ5HA5/l4N60CP7o0f2R4/sjx7ZHz2yP3pkb/TH/gKhR2VlZUpISPDk0YYETPCuvbw8KirK9sE7MjJSUVFRrfYfV6CjR/ZHj+yPHtkfPbI/emR/9Mje6I/9BVKPLvR1Z26uBgAAAACAhQjeAAAAAABYiOANAAAAAICFAuY73o1RU1OjyspKv9ZQVVWlsLAwnTp1StXV1X6tpTk4HA6Fhob6uwwAAAAAsK2gCd6VlZUqKChQTU2NX+swTVOxsbE6ePBgwDxvvEOHDoqNjQ2Y/QEAAACA5hQUwds0TblcLoWGhiohIeG8Dza3Wk1NjY4fP6527dr5tY7mYJqmysvLdfjwYUlSXFycnysCAAAAAPsJiuB9+vRplZeXKz4+XpGRkX6tpfZy9zZt2rT64C1JERERkqTDhw+rc+fOXHYOAAAAAOdo/cmvEWq/Sx0eHu7nSgJT7S8zqqqq/FwJAAAAANhPUATvWnwH2Rr8vQIAAABAw4IqeAMAAAAA0NII3gAAAAAAWIjgDQAAAACAhQjeOC/DMLRmzRp/lwEAAAAArRbB20eu0pPa8lWJXKUn/V0KAAAAAKAVIHj7IGdboa586gPd9vLHuvKpD5SzrdDyzzRNU//3//5fXXrppYqIiNCAAQP03//93zJNU2PGjNH1118v0zQlSUePHlViYqIeeughSe7HqE2dOlU9evRQRESELr/8ci1YsKDOZ7z22mvq27evnE6n4uLidM8990iSunfvLkn62c9+JsMwPMsAAAAAYJmiHVL2ePdrgCB4N5Kr9KQyVu1WjTvjqsaUHly1x/Iz3w8//LCWLFmixYsX67PPPtPs2bP1H//xH9q0aZNef/11/eMf/9DChQslSdOnT1eXLl2UmZnprrGmRpdccon+8pe/aO/evXr00Uf14IMP6i9/+Ytn+4sXL9ZvfvMb3X333dq9e7feeust/ehHP5Ikbdu2TZK0ZMkSuVwuzzIAAAAAWGbXCunAZunTHH9X0mzC/F1Aa1FQcsITumtVm6YOlJQrLjrCks88ceKEnn32WX3wwQdKSUmRJF166aX68MMP9eKLL2rZsmV68cUXNXnyZH3zzTd6++23tXPnTjkcDkmSw+HQ3LlzPdvr0aOHtmzZor/85S+aNGmSJOmJJ57Q7373O82cOdMzb+jQoZKkTp06SZI6dOig2NhYS/YRAAAAAHS0UCo/IsmQPlvlHtuzUhrwc0mmFHmx1CHRnxX+IATvRuoR01YhhrzCd6hhqHtMpGWfuXfvXp06dUpjx471Gq+srFRycrIk6dZbb9Xq1as1b948LV68WL169fKa+8ILL+iVV17R119/rZMnT6qyslIDBw6UJB0+fFiHDh3Stddea9k+AAAAAMAFZSWdtWC4X06USC+N+n44s7RFS2pOBO9GiouO0Ly0JD24ao+qTVOhhqEn0/pZdrZbcl8qLknvvPOOunbt6rXO6XRKksrLy7V9+3aFhobqyy+/9Jrzl7/8RbNnz9YzzzyjlJQUtW/fXn/84x/18ccfS5IiIqyrHQAAAAAaLe1lac2vpZrTkmrPdp55DQmTJi72V2XNguDtg/ShiRrZq5MOlJSre0ykpaFbkvr06SOn06nCwkKNGjWq3jm/+93vFBISor/97W+64YYbdOONN+onP/mJJGnz5s0aMWKEZsyY4Zn/1Vdfef7cvn17de/eXe+//75Gjx5d7/YdDoeqq6ubca8AAAAA4Bz9J0kxvbzPcNea9r4UP7DFS2pOBG8fxUVHWB64a7Vv31733XefZs+erZqaGl111VUqKyvTli1b1K5dO8XExOi1115TXl6eBg0apAceeEBTpkzRp59+qosuukg/+tGPtHTpUr377rvq0aOH3njjDW3btk09evTwfEZmZqamT5+uzp07a9y4cTp27Jg++ugj/fa3v5UkTzC/8sor5XQ6ddFFF7XIvgMAAAAIViGSas56bf24q7nNPf7443r00Uc1b9489e7dW9ddd53efvttde/eXVOnTlVmZqYGDRokSXrssccUHx+v6dOnS3Lf5TwtLU3p6ekaNmyYjhw54nX2W5KmTJmirKwsLVq0SH379tX48eO9Lll/5plnlJubq4SEBM/3ygEAAACg2bXtJLXrLMUPkMbPd7+26+web+U4421zhmHo3nvv1b333ltnXXFxsddyWFiY5/vbkvt74EuWLNGSJUu85s2bN89r+Ve/+pV+9atf1fv5EyZM0IQJE5paPgAAAAA0TnRXadYeKTRcMgxp8F1SdaUU5vR3ZT8YwRsAAAAAYA9nh2zDCIjQLXGpOQAAAAAAliJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYJ3AMvMzNTAgQP9XQYAAAAABDWCt6+KdkjZ492vNnfffffp/fff93cZAAAAABDUCN6+2rVCOrBZ+jTH35VcULt27XTxxRf7uwwAAAAACGoE78Y4Wigd2ikdypc+W+Ue27PSvXxop3u9Ba655hrde++9uv/++9WxY0fFxsYqMzPTs76wsFA33XST2rVrp6ioKE2aNEnffPONZ/25l5pv2LBBV1xxhdq2basOHTroyiuv1Ndff60DBw4oJCREn3zyidfn//nPf1a3bt1kmqYl+wcAAAAAwSDM3wW0CllJZy0Y7pcTJdJLo74fziy15KNff/11zZkzRx9//LHy8vJ055136sorr9SYMWM0ceJEtW3bVhs3btTp06c1Y8YMpaena8OGDXW2c/r0aU2cOFG//OUvtXz5clVWVuof//iHDMNQt27dNGbMGC1ZskRDhgzxvGfJkiW68847ZRiGJfsGAAAAAMGA4N0YaS9La34t1ZyWVHv298xrSJg0cbFlH92/f3899thjkqSePXvqueee83xv+9NPP1VBQYESEhIkSW+88Yb69u2rbdu2aejQoV7bKSsrU2lpqcaPH6/LLrtMktS7d2/P+mnTpmn69Ol69tln5XQ6tWvXLuXn52vVqlWW7RsAAAAABAMuNW+M/pOkaQ3cpGza++71Vn10//5ey3FxcTp8+LA+//xzJSQkeEK3JPXp00cdOnTQ559/Xmc7HTt21J133qnrrrtOEyZM0IIFC+RyuTzrJ06cqLCwMK1evVqS9Nprr2n06NHq3r27NTsGAAAAAEGC4O2zkHNereVwOLyWDcNQTU2NTNOs9xLwhsYl96XjeXl5GjFihHJyctSrVy9t3bpVkhQeHq7JkydryZIlqqys1LJly/SLX/yi+XcIAAAAAIIMwbux2naS2nWW4gdI4+e7X9t1do/7QZ8+fVRYWKiDBw96xvbu3avS0lKvS8jPlZycrIyMDG3ZskX9+vXTsmXLPOumTZum9957T4sWLVJVVZXS0tIs3QcAAAAACAZ8x7uxortKs/ZIoeGSYUiD75KqK6Uwp1/KGTNmjPr376/bb79dWVlZnpurjRo1yusGabUKCgr00ksv6ac//ani4+O1b98+/fOf/9Qdd9zhmdO7d28NHz5c//mf/6lf/OIXioiIaMldAgAAAICAxBlvX4Q53aFbcr/6KXS7P97QmjVrdNFFF2nkyJEaM2aMLr30UuXk1P988cjISH3xxRe6+eab1atXL919992655579Ktf/cpr3tSpU1VZWcll5gAAAADQTDjjbWP1PRZszZo1nj8nJiZq7dq1Db4/MzPT89zvLl26eG6cdj4ul0v9+vWrc1d0AAAAAEDTcMYbkqTjx49r27Zt+vOf/6x7773X3+UAAAAAQMAgeEOSdM899+iqq67SqFGjuMwcAAAAAJoRl5pDkpSdna3s7Gx/lwEAAAAAAYcz3gAAAAAAWMjn4L1p0yZNmDBB8fHxnjtrn8+dd94pwzDq/PTt29czJzs7u945p06d8nmHzsc0zWbdHtxqamr8XQIAAAAA2JbPl5qfOHFCAwYM0F133aWbb775gvMXLFigp556yrN8+vRpDRgwQLfeeqvXvKioKO3bt89rrE2bNr6WVy+HwyHDMPTtt9+qU6dOMmofCeYHNTU1qqys1KlTpxQS0rovODBNU5WVlfr2228VEhKi8PBwf5cEAAAAALbjc/AeN26cxo0b1+j50dHRio6O9iyvWbNG3333ne666y6veYZhKDY21tdyGiU0NFSXXHKJ/v3vf+vAgQOWfEZjmaapkydPKiIiwq+/AGhOkZGRSkxMbPW/SAAAAAAAK7T4zdVeffVVjRkzRt26dfMaP378uLp166bq6moNHDhQjz/+uJKTkxvcTkVFhSoqKjzLZWVlkqSqqipVVVXVme90OtW9e3edPn3ar5ecnz59Wlu2bNGIESMUFta6721nGIZCQ0MVGhoqwzDq/XtvjWr3I1D2JxDRI/ujR/ZHj+yPHtkfPbI3+mN/gdCjxtZumD8ghRqGodWrV2vixImNmu9yuZSQkKBly5Zp0qRJnvGtW7dq//79SkpKUllZmRYsWKB169Zp165d6tmzZ73byszM1Ny5c+uML1u2TJGRkU3aHwAAAAAAGqu8vFy33XabSktLFRUV1eC8Fg3e8+bN0zPPPKNDhw6d9/vANTU1GjRokEaOHKmFCxfWO6e+M94JCQkqKSk57w77W1VVlXJzczV27Fg5HA5/l4N60CP7o0f2R4/sjx7ZHz2yP3pkb/TH/gKhR2VlZYqJiblg8G6xa51N09Rrr72myZMnX/AmXCEhIRo6dKi+/PLLBuc4nU45nc464w6Ho1U0rbXUGczokf3RI/ujR/ZHj+yPHtkfPbI3+mN/rblHja27xe6GtXHjRu3fv19Tp0694FzTNJWfn6+4uLgWqAwAAAAAAOv4fMb7+PHj2r9/v2e5oKBA+fn56tixoxITE5WRkaGioiItXbrU632vvvqqhg0bpn79+tXZ5ty5czV8+HD17NlTZWVlWrhwofLz8/X88883YZcAAAAAALAPn4P3J598otGjR3uW58yZI0maMmWKsrOz5XK5VFhY6PWe0tJSrVy5UgsWLKh3m0ePHtXdd9+t4uJiRUdHKzk5WZs2bdIVV1zha3kAAAAAANiKz8H7mmuuOe/juLKzs+uMRUdHq7y8vMH3zJ8/X/Pnz/e1FAAAAAAAbK/FvuMNAAAAAEAwIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGzDVXpSW74qkav0pL9LaTZh/i4AAAAAAABJytlWqIxVu1VjSiGGNC8tSelDE/1d1g/GGW8AAAAAgN+5Sk96Qrck1ZjSg6v2BMSZb4I3AAAAAMDvCkpOeEJ3rWrT1IGScv8U1IwI3gAAAAAAv+sR01YhhvdYqGGoe0ykfwpqRgRvAAAAAIDfxUVHaF5akkINd/oONQw9mdZPcdERfq7sh+PmagAAAAAAW0gfmqiRvTrpQEm5usdEBkTolgjeAAAAAAAbiYuOCJjAXYtLzQEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALCQz8F706ZNmjBhguLj42UYhtasWXPe+Rs2bJBhGHV+vvjiC695K1euVJ8+feR0OtWnTx+tXr3a19IAAAAAALAdn4P3iRMnNGDAAD333HM+vW/fvn1yuVyen549e3rW5eXlKT09XZMnT9auXbs0efJkTZo0SR9//LGv5QEAAAAAYCthvr5h3LhxGjdunM8f1LlzZ3Xo0KHedVlZWRo7dqwyMjIkSRkZGdq4caOysrK0fPlynz8LAAAAAAC78Dl4N1VycrJOnTqlPn366OGHH9bo0aM96/Ly8jR79myv+dddd52ysrIa3F5FRYUqKio8y2VlZZKkqqoqVVVVNW/xzai2NjvXGOzokf3RI/ujR/ZHj+yPHtkfPbI3+mN/gdCjxtZumKZpNvVDDMPQ6tWrNXHixAbn7Nu3T5s2bdLgwYNVUVGhN954Qy+88II2bNigkSNHSpLCw8OVnZ2t2267zfO+ZcuW6a677vIK12fLzMzU3Llz64wvW7ZMkZGRTd0lAAAAAAAapby8XLfddptKS0sVFRXV4DzLz3hffvnluvzyyz3LKSkpOnjwoP70pz95grfkDvFnM02zztjZMjIyNGfOHM9yWVmZEhISlJqaet4d9reqqirl5uZq7Nixcjgc/i4H9aBH9keP7I8e2R89sj96ZH/0yN7oj/0FQo9qr7y+kBa71Pxsw4cP15tvvulZjo2NVXFxsdecw4cPq0uXLg1uw+l0yul01hl3OBytommtpc5gRo/sjx7ZHz2yP3pkf/TI/uiRvdEf+2vNPWps3X55jvfOnTsVFxfnWU5JSVFubq7XnPXr12vEiBEtXRoAAAAAAM3K5zPex48f1/79+z3LBQUFys/PV8eOHZWYmKiMjAwVFRVp6dKlktx3LO/evbv69u2ryspKvfnmm1q5cqVWrlzp2cbMmTM1cuRIPf3007rpppu0du1avffee/rwww+bYRcBAAAAAPAfn4P3J5984nVH8trvWU+ZMkXZ2dlyuVwqLCz0rK+srNR9992noqIiRUREqG/fvnrnnXd0ww03eOaMGDFCK1as0MMPP6xHHnlEl112mXJycjRs2LAfsm8AAAAAAPidz8H7mmuu0fluhJ6dne21fP/99+v++++/4HZvueUW3XLLLb6WAwAAAACArfnlO94AAAAAAAQLgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABbyOXhv2rRJEyZMUHx8vAzD0Jo1a847f9WqVRo7dqw6deqkqKgopaSk6N133/Wak52dLcMw6vycOnXK1/IAAAAAALAVn4P3iRMnNGDAAD333HONmr9p0yaNHTtW69at0/bt2zV69GhNmDBBO3fu9JoXFRUll8vl9dOmTRtfywMAAAAAwFbCfH3DuHHjNG7cuEbPz8rK8lp+8skntXbtWr399ttKTk72jBuGodjYWF/LAQAAAADA1nwO3j9UTU2Njh07po4dO3qNHz9+XN26dVN1dbUGDhyoxx9/3CuYn6uiokIVFRWe5bKyMklSVVWVqqqqrCm+GdTWZucagx09sj96ZH/0yP7okf3RI/ujR/ZGf+wvEHrU2NoN0zTNpn6IYRhavXq1Jk6c2Oj3/PGPf9RTTz2lzz//XJ07d5Ykbd26Vfv371dSUpLKysq0YMECrVu3Trt27VLPnj3r3U5mZqbmzp1bZ3zZsmWKjIxs0v4AAAAAANBY5eXluu2221RaWqqoqKgG57Vo8F6+fLmmTZumtWvXasyYMQ3Oq6mp0aBBgzRy5EgtXLiw3jn1nfFOSEhQSUnJeXfY36qqqpSbm6uxY8fK4XD4uxzUgx7ZHz2yP3pkf/TI/uiR/dEje6M/9hcIPSorK1NMTMwFg3eLXWqek5OjqVOn6q9//et5Q7ckhYSEaOjQofryyy8bnON0OuV0OuuMOxyOVtG01lJnMKNH9keP7I8e2R89sj96ZH/0yN7oj/215h41tu4WeY738uXLdeedd2rZsmW68cYbLzjfNE3l5+crLi6uBaoDAAAAAMA6Pp/xPn78uPbv3+9ZLigoUH5+vjp27KjExERlZGSoqKhIS5culeQO3XfccYcWLFig4cOHq7i4WJIUERGh6OhoSdLcuXM1fPhw9ezZU2VlZVq4cKHy8/P1/PPPN8c+AgAAAADgNz6f8f7kk0+UnJzsueP4nDlzlJycrEcffVSS5HK5VFhY6Jn/4osv6vTp0/rNb36juLg4z8/MmTM9c44ePaq7775bvXv3VmpqqoqKirRp0yZdccUVP3T/AAAAAADwK5/PeF9zzTU63/3YsrOzvZY3bNhwwW3Onz9f8+fP97UUAAAAAABsr0W+4w0AAAAAQLAieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAACQq/SktnxVIlfpSX+XAgScMH8XAAAAAMC/crYVKmPVbtWYUoghzUtLUvrQRH+XBQQMzngDAAAAQcxVetITuiWpxpQeXLWHM99AMyJ4AwAAAEGsoOSEJ3TXqjZNHSgp909BQAAieAMAAABBrEdMW4UY3mOhhqHuMZH+KQgIQARvAAAAIIjFRUdoXlqSQg13+g41DD2Z1k9x0RF+rgwIHNxcDQAAAAhy6UMTNbJXJx0oKVf3mEhCN9DMCN4AAAAAFBcdQeAGLMKl5gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIV8Dt6bNm3ShAkTFB8fL8MwtGbNmgu+Z+PGjRo8eLDatGmjSy+9VC+88EKdOStXrlSfPn3kdDrVp08frV692tfSAAAAAACwHZ+D94kTJzRgwAA999xzjZpfUFCgG264QVdffbV27typBx98UPfee69WrlzpmZOXl6f09HRNnjxZu3bt0uTJkzVp0iR9/PHHvpYHAAAAAICthPn6hnHjxmncuHGNnv/CCy8oMTFRWVlZkqTevXvrk08+0Z/+9CfdfPPNkqSsrCyNHTtWGRkZkqSMjAxt3LhRWVlZWr58eb3braioUEVFhWe5rKxMklRVVaWqqipfd6vF1NZm5xqDHT2yP3pkf/TI/uiR/dEj+6NH9kZ/7C8QetTY2g3TNM2mfohhGFq9erUmTpzY4JyRI0cqOTlZCxYs8IytXr1akyZNUnl5uRwOhxITEzV79mzNnj3bM2f+/PnKysrS119/Xe92MzMzNXfu3Drjy5YtU2RkZFN3CQAAAACARikvL9dtt92m0tJSRUVFNTjP5zPeviouLlaXLl28xrp06aLTp0+rpKREcXFxDc4pLi5ucLsZGRmaM2eOZ7msrEwJCQlKTU097w77W1VVlXJzczV27Fg5HA5/l4N60CP7o0f2R4/sjx7ZHz2yP3pkb/TH/gKhR7VXXl+I5cFbcp8ZP1vtSfazx+ubc+7Y2ZxOp5xOZ51xh8PRKprWWuoMZvTI/uiR/dEj+6NH9keP7I8e2Rv9sb/W3KPG1m3548RiY2PrnLk+fPiwwsLCdPHFF593zrlnwQEAAAAAaG0sD94pKSnKzc31Glu/fr2GDBni+e1AQ3NGjBhhdXkAAAAAJKloh5Q93v0KoFn5HLyPHz+u/Px85efnS3I/Liw/P1+FhYWS3N+9vuOOOzzzp0+frq+//lpz5szR559/rtdee02vvvqq7rvvPs+cmTNnav369Xr66af1xRdf6Omnn9Z7772nWbNm/bC9AwAAANA4u1ZIBzZLn+b4uxIg4PgcvD/55BMlJycrOTlZkjRnzhwlJyfr0UcflSS5XC5PCJekHj16aN26ddqwYYMGDhyoxx9/XAsXLvQ8SkySRowYoRUrVmjJkiXq37+/srOzlZOTo2HDhv3Q/QMAAADQkKOF0qGd0qF86bNV7rE9K93Lh3a61wP4wXy+udo111yj8z2BLDs7u87YqFGjtGPH+S9ZueWWW3TLLbf4Wg4AAACApspKOmvhzI2NT5RIL436fjiztEVLAgKR5d/xBgAAAGBTaS9LIbXn4kzv15Aw93oAP1iLPE4MAAAAgA31nyTF9PI+w11r2vtS/MAWLwkIRJzxBgAAAKDvowERAWhuHFUAAABAMGvbSWrXWYofII2f735t19k9DqBZcKk5AAAAEMyiu0qz9kih4ZJhSIPvkqorpTCnvysDAgbBGwAAAAh2Z4dswyB0A82MS80BAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAgpir9KS2fFUiV+lJf5cCAAErzN8FAAAAwD9ythUqY9Vu1ZhSiCHNS0tS+tBEf5cFAAGHM94AAABByFV60hO6JanGlB5ctYcz3wBgAYI3AABAECooOeEJ3bWqTVMHSsr9UxAABDCCNwAAQBDqEdNWIYb3WKhhqHtMpH8KAoAARvAGAAAIQnHREZqXlqRQw52+Qw1DT6b1U1x0hJ8rA4DAw83VAAAAglT60ESN7NVJB0rK1T0mktANABYheAMAAASxuOgIAjcAWIxLzQEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACzUpeC9atEg9evRQmzZtNHjwYG3evLnBuXfeeacMw6jz07dvX8+c7OzseuecOnWqKeUBAAAAAGAbPgfvnJwczZo1Sw899JB27typq6++WuPGjVNhYWG98xcsWCCXy+X5OXjwoDp27Khbb73Va15UVJTXPJfLpTZt2jRtrwAAAAAAsAmfg/ezzz6rqVOnatq0aerdu7eysrKUkJCgxYsX1zs/OjpasbGxnp9PPvlE3333ne666y6veYZheM2LjY1t2h4BAAB7KNohZY93vwIAEMTCfJlcWVmp7du364EHHvAaT01N1ZYtWxq1jVdffVVjxoxRt27dvMaPHz+ubt26qbq6WgMHDtTjjz+u5OTkBrdTUVGhiooKz3JZWZkkqaqqSlVVVY3dpRZXW5udawx29Mj+6JH90SP7a4kehexcptADm1Wdv1w1nZMs+5xAxXFkf/TI3uiP/QVCjxpbu2GaptnYjR46dEhdu3bVRx99pBEjRnjGn3zySb3++uvat2/fed/vcrmUkJCgZcuWadKkSZ7xrVu3av/+/UpKSlJZWZkWLFigdevWadeuXerZs2e928rMzNTcuXPrjC9btkyRkZGN3SUAANCMIipLFH76mCRDKV/9Sc7TZaoIi1LeZfdJMlUZ1l4nw2P8XSYAAM2ivLxct912m0pLSxUVFdXgvCYF7y1btiglJcUz/oc//EFvvPGGvvjii/O+f968eXrmmWd06NAhhYeHNzivpqZGgwYN0siRI7Vw4cJ659R3xjshIUElJSXn3WF/q6qqUm5ursaOHSuHw+HvclAPemR/9Mj+6JH9WdUjxx++D9WmDBkyPa+ez36opNk+L5BxHNkfPbI3+mN/gdCjsrIyxcTEXDB4+3SpeUxMjEJDQ1VcXOw1fvjwYXXp0uW87zVNU6+99pomT5583tAtSSEhIRo6dKi+/PLLBuc4nU45nc464w6Ho1U0rbXUGczokf3RI/ujR/bX7D1Ke1la82up5rQnbHtCd0iYNHEx/yZ8xHFkf/TI3uiP/bXmHjW2bp9urhYeHq7BgwcrNzfXazw3N9fr0vP6bNy4Ufv379fUqVMv+DmmaSo/P19xcXG+lAcAAPyt/yRp2vv1r5v2vns9AABBxqcz3pI0Z84cTZ48WUOGDFFKSopeeuklFRYWavr06ZKkjIwMFRUVaenSpV7ve/XVVzVs2DD169evzjbnzp2r4cOHq2fPniorK9PChQuVn5+v559/vom7BQAA/C9EUs1ZrwAABCefg3d6erqOHDmi3//+93K5XOrXr5/WrVvnuUu5y+Wq80zv0tJSrVy5UgsWLKh3m0ePHtXdd9+t4uJiRUdHKzk5WZs2bdIVV1zRhF0CAAB+1baT1K6zFNVVGnSHtGOpVFbkHgcAIAj5HLwlacaMGZoxY0a967Kzs+uMRUdHq7y8vMHtzZ8/X/Pnz29KKQAAwG6iu0qz9kih4ZJhSIPvkqorpbC692aBDRTtkHIflcb+Xuo6yN/VAEBA8uk73gAAAI0S5nSHbsn9Sui2r10rpAObpU9z/F0JAASsJp3xBgAAQCt2tFAqPyLJkD5b5R7bs1Ia8HNJphR5sdQh0Z8VAkBAIXgDAAAEm6yksxbOXJlwokR6adT3w5mlLVoSAAQyLjUHAAAINmkvu5+rLkm1z1k/+3nraS/7oyoACFic8QYAAAg2/SdJMb28z3DXmva+FD+wxUsCgEDGGW8AAICgFnLOKwCgufG/sAAAAMGo9nnr8QOk8fPdr+0687x1ALAAl5oDAAAEI563DgAthuANAAAQrM4O2TxvHQAsw6XmAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAwBKu0pPa8lWJXKUn/V0KAAB+FebvAgAAQODJ2VaojFW7VWNKIYY0Ly1J6UMT/V0WAAB+wRlvAADQrFylJz2hW5JqTOnBVXs48w0ACFoEbwAA0KwKSk54QnetatPUgZJy/xQEAICfEbwBAECz6hHTViGG91ioYah7TKR/CgIAwM8I3gAAoFnFRUdoXlqSQg13+g41DD2Z1k9x0RF+rgwAAP/g5moAAKDZpQ9N1MhenXSgpFzdYyIJ3QCAoEbwBgAAloiLjiBwAwAgLjUHAAAAAMBSBG8AAAAAACxE8AYAAAAAwEIEbwAAAAAALETwBgAAAADAQgRvAAAAAAAsRPAGAAAAAMBCBG8AAAAAACxE8AYAAAAAwEIEbwAAAAAALETwBgAAAADAQgRvAAAAAAAsRPAGAKBoh5Q93v0KAADQzAjeAADsWiEd2Cx9muPvSgAAQAAK83cBAAD4xdFCqfyIJEP6bJV7bM9KacDPJZlS5MVSh0R/VggAAAIEwRsAEJyyks5aMNwvJ0qkl0Z9P5xZ2qIlAQCAwMSl5gCA4JT2shRS+/tn0/s1JMy9HgAAoBk0KXgvWrRIPXr0UJs2bTR48GBt3ry5wbkbNmyQYRh1fr744guveStXrlSfPn3kdDrVp08frV69uimlAQDQOP0nSdPer3/dtPfd6wEAAJqBz8E7JydHs2bN0kMPPaSdO3fq6quv1rhx41RYWHje9+3bt08ul8vz07NnT8+6vLw8paena/Lkydq1a5cmT56sSZMm6eOPP/Z9jwAA8FnIOa8AAADNx+f/wnj22Wc1depUTZs2Tb1791ZWVpYSEhK0ePHi876vc+fOio2N9fyEhoZ61mVlZWns2LHKyMjQj3/8Y2VkZOjaa69VVlaWzzsEAECjte0ktessxQ+Qxs93v7br7B4HAABoJj7dXK2yslLbt2/XAw884DWempqqLVu2nPe9ycnJOnXqlPr06aOHH35Yo0eP9qzLy8vT7NmzveZfd9115w3eFRUVqqio8CyXlZVJkqqqqlRVVdXYXWpxtbXZucZgR4/sjx7ZX6vpUWRn6Tc7pdBwyTCk/v8hVVdKYU7J7rX/QK2mR0GMHtkfPbI3+mN/gdCjxtbuU/AuKSlRdXW1unTp4jXepUsXFRcX1/ueuLg4vfTSSxo8eLAqKir0xhtv6Nprr9WGDRs0cuRISVJxcbFP25SkefPmae7cuXXG169fr8jISF92yy9yc3P9XQIugB7ZHz2yP3pkf/TI/uiR/dEje6M/9teae1ReXt6oeU16nJhhGF7LpmnWGat1+eWX6/LLL/csp6Sk6ODBg/rTn/7kCd6+blOSMjIyNGfOHM9yWVmZEhISlJqaqqioKJ/2pyVVVVUpNzdXY8eOlcPh8Hc5qAc9sj96ZH/0yP7okf3RI/ujR/ZGf+wvEHpUe+X1hfgUvGNiYhQaGlrnTPThw4frnLE+n+HDh+vNN9/0LMfGxvq8TafTKafTWWfc4XC0iqa1ljqDGT2yP3pkf/TI/uiR/dEj+6NH9kZ/7K8196ixdft0c7Xw8HANHjy4zqUAubm5GjFiRKO3s3PnTsXFxXmWU1JS6mxz/fr1Pm0TAAAAAAA78vlS8zlz5mjy5MkaMmSIUlJS9NJLL6mwsFDTp0+X5L4EvKioSEuXLpXkvmN59+7d1bdvX1VWVurNN9/UypUrtXLlSs82Z86cqZEjR+rpp5/WTTfdpLVr1+q9997Thx9+2Ey7CQAAAACAf/gcvNPT03XkyBH9/ve/l8vlUr9+/bRu3Tp169ZNkuRyubye6V1ZWan77rtPRUVFioiIUN++ffXOO+/ohhtu8MwZMWKEVqxYoYcffliPPPKILrvsMuXk5GjYsGHNsIsAAAAAAPhPk26uNmPGDM2YMaPeddnZ2V7L999/v+6///4LbvOWW27RLbfc0pRyAAAAAACwLZ++4w0AAAAAAHxD8AYABD1X6Ult+apErtKT/i4FAAAEoCZdag4AQKDI2VaojFW7VWNKIYY0Ly1J6UMT/V0WAAAIIJzxBgAELVfpSU/olqQaU3pw1R7OfAMAgGZF8AYABK2CkhOe0F2r2jR1oKTcPwUBAICARPAGAAStHjFtFWJ4j4UahrrHRPqnIAAAEJAI3gCAoBUXHaF5aUkKNdzpO9Qw9GRaP8VFR/i5MgAAEEi4uRoAIKilD03UyF6ddKCkXN1jIgndAACg2RG8AQBBLy46gsANAAAsw6XmAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AAAAAAFiI4A0AAAAAgIUI3gAAAAAAWIjgDQAAAACAhQjeAAAAAABYiOANAAAAAICFCN4AEGRcpSe15asSuUpP+rsUAACAoBDm7wIAAC0nZ1uhMlbtVo0phRjSvLQkpQ9N9HdZAAAAAY0z3gAQJFylJz2hW5JqTOnBVXs48w0AAGAxgjcABImCkhOe0F2r2jR1oKTcPwUBAAAECYI3AASJHjFtFWJ4j4UahrrHRPqnIAAAgCBB8AaAIBEXHaF5aUkKNdzpO9Qw9GRaP8VFR/i5MgAAgMDGzdUAIIikD03UtVFFcnyQqaqfZCrmcm6sBgAAYDXOeANAkIn5arWiv9mqmH+t8XcpAAAAQYHgDQDnKtohZY93vwaKo4XSoZ3SoXzps1XusT0r3cuHdrrXAwAAwBJcag4A59q1QjqwWfo0R+o6yN/VNI+spLMWztxh7USJ9NKo74czS1u0JAAAgGDBGW8AkAL/jHDay1JI7e9aTe/XkDD3egAAAFiCM94AIAX+GeH+k6SYXt77U2va+1L8wBYvCQAAIFhwxhsApCA7IxxyzisAAACsxBlvAJCC44xw205Su85SVFdp0B3SjqVSWZF7HAAAAJYheANAHSGSas56DRDRXaVZe6TQcMkwpMF3SdWVUpjT35UBAAAEtCZdZ7ho0SL16NFDbdq00eDBg7V58+YG565atUpjx45Vp06dFBUVpZSUFL377rtec7Kzs2UYRp2fU6dONaU8AGia2jPC8QOk8fPdr+06B9YZ4TCnO3RL7ldCNwAAgOV8PuOdk5OjWbNmadGiRbryyiv14osvaty4cdq7d68SExPrzN+0aZPGjh2rJ598Uh06dNCSJUs0YcIEffzxx0pOTvbMi4qK0r59+7ze26ZNmybsEgA0EWeEAQAAYAGfg/ezzz6rqVOnatq0aZKkrKwsvfvuu1q8eLHmzZtXZ35WVpbX8pNPPqm1a9fq7bff9grehmEoNjbW13IAoHmdHbI5IwwAAIBm4FPwrqys1Pbt2/XAAw94jaempmrLli2N2kZNTY2OHTumjh07eo0fP35c3bp1U3V1tQYOHKjHH3/cK5ifq6KiQhUVFZ7lsrIySVJVVZWqqqoau0strrY2O9cY7OiR/dEj+6NH9keP7I8e2R89sjf6Y3+B0KPG1m6YpmleeJrboUOH1LVrV3300UcaMWKEZ/zJJ5/U66+/XudS8fr88Y9/1FNPPaXPP/9cnTt3liRt3bpV+/fvV1JSksrKyrRgwQKtW7dOu3btUs+ePevdTmZmpubOnVtnfNmyZYqMjGzsLgFAHUcrpG9PGerUxlQHTngDAACgAeXl5brttttUWlqqqKioBuc16a7mRu2Nec4wTbPOWH2WL1+uzMxMrV271hO6JWn48OEaPny4Z/nKK6/UoEGD9Oc//1kLFy6sd1sZGRmaM2eOZ7msrEwJCQlKTU097w77W1VVlXJzczV27Fg5HA5/l4N60CP7s7JHf93+b81du1c1phRiSE/c1Ee3Dr6kWT8jGHAc2R89sj96ZH/0yN7oj/0FQo9qr7y+EJ+Cd0xMjEJDQ1VcXOw1fvjwYXXp0uW8783JydHUqVP117/+VWPGjDnv3JCQEA0dOlRffvllg3OcTqeczrqnohwOR6toWmupM5jRI/tr7h65Sk/q4TOhW5JqTOmRtZ9rdO9YxUVHNNvnBBOOI/ujR/ZHj+yPHtkb/bG/1tyjxtbt0+PEwsPDNXjwYOXm5nqN5+bmel16fq7ly5frzjvv1LJly3TjjTde8HNM01R+fr7i4uJ8KQ8AfpCCkhOe0F2r2jR1oKTcPwUBAAAgIPh8qfmcOXM0efJkDRkyRCkpKXrppZdUWFio6dOnS3JfAl5UVKSlS5dKcofuO+64QwsWLNDw4cM9Z8sjIiIUHR0tSZo7d66GDx+unj17qqysTAsXLlR+fr6ef/755tpPALigHjFtFWLIK3yHGoa6x3DfCAAAADSdT2e8JSk9PV1ZWVn6/e9/r4EDB2rTpk1at26dunXrJklyuVwqLCz0zH/xxRd1+vRp/eY3v1FcXJznZ+bMmZ45R48e1d13363evXsrNTVVRUVF2rRpk6644opm2EUAaJy46AjNS0tS6Jl7VoQahp5M68dl5gAAAPhBmnRztRkzZmjGjBn1rsvOzvZa3rBhwwW3N3/+fM2fP78ppQBAs0ofmqiRvTrpQEm5usdEEroBAADwgzUpeANAIIuLjiBwAwAAoNn4fKk5AAAAAABoPII3AAAAAAAWIngDAAAAAGAhgjcAAAAAABYieAMAAAAAYCGCNwAAAAAAFiJ4AwAAAABgIYI3AEu5Sk9qy1clcpWe9HcpAAAAgF8QvAFYJmdboaY//YqUPUHTn35FOdsK/V0SAAAA0OII3gAs4So9qYxVuzUxZLNGhO7VxJDNenDVHs58AwAAIOgQvIFAUrRDyh7vfvWno4U6vG+reqtAE0LzJEkTQvP0Y/1L3+77WDrKmW8AAAAEjzB/FwCgGe1aIR3YLH2aI3Ud5L86spI0QNI7TqnGdA91VJnecT4krZP7J7PUf/UBAAAALYgz3kBrd7RQOrRTOpQvfbbKPbZnpXv50E7/nF1Oe1kKcf9eL8SQ16tCwtzrAQAAgCDBGW+gtctKOmvhTLo9USK9NOr74ZY+u9x/khTTy7uGWtPel+IHtmw9AAAAgB9xxhto7c46uyyZ3q+2OLsccs4rAAAAEFw44w20dnY9u9y2k9SusxTVVRp0h7RjqVRW5B4HAAAAggjBGwgoIZJqznr1o+iu0qw9Umi4ZBjS4Luk6kopzOnfugAAAIAWRvAGAsGZs8uVbeN1sPvNSjiwUuEnDvn/7PLZIdswCN0AAAAISgRvIBBEd9Vfr/qb/nPtF6r52lCI8f/p6Zt+rFuju/q7MgAAACDocbcjIAC4Sk/qP9fuU43pvqt5jWnogbX/lKv0pJ8rAwAAAEDwBgJAQckJ1ZjeY9WmqQMl5f4pCAAAAIAHwRsIAD1i2irE8B4LNQx1j4n0T0EAAAAAPAjeQACIi47QvLQkhRru9B1qGHoyrZ/ioiP8XBkAAAAAbq4GBIj0oYka2auTDpSUq3tMJKEbAAAAsAmCN2ARV+lJFZScUI+Yti0WguOiIwjcAAAAgM0QvAEL5GwrVMaq3aoxpRBDmpeWpPShif4uCwAAAIAf8B1voJm5Sk96Qrck1ZjSg6v28GgvAAAAIEgRvIFmVvtoryTjX1rmeEJJxr94tBcAAAAQxAjeQDOrfbRXWuhmjQjdq7TQzTzaCwAAAAhiBG+gOR0tVNyJL/TCtaGaEJonSZoQmqfF14Yo7sQX0tFCPxcIAAAAoKVxczUELUvuOp6VJElKlWSeeab2xcYxpX6YLn14Zk5mafN8FgAAAIBWgTPeCEo52wo1/elXpOwJmv70K8rZ1kxnotNelkLcv88yZHq9KiTMvR4AAABAUCF4o3Up2iFlj3e/NlHtXccnhri/gz0xZHPz3XW8/yRp2vv1r5v2vns9AAAAgKBC8EbrsmuFdGCz9GlO095/tFCH921VbxV4fQf7x/qXvt33cTN/BzvknFcAAAAAwYjveMP+jhZK5UckGarevVKhkqo//W+FDvi5JFOKvFjqkNi4bWUlaYCkd5zyPGe7o8r0jvMhaZ3cPw+V/LB623aS2nWWorpKg+6QdiyVyorc4wAAAACCDsEb9nfmhmWSZJiSDMkoL5FeGvX9nMbesCztZWnNr6Wa0wpx3/vM86qQMGni4h9eb3RXadYeKTRcMgxp8F1SdaUU5vzh2wYAAADQ6nANLFqer9/TTntZ5pkblp0blk1fb1jWUt/BDnO6Q7fkfiV0AwAAAEGL4I0fpgk3Ozux7U3pwGad2PZfjXtD/0n69PqV9a7aff2qHxCW+Q42AAAAAOuROPDDNPZmZ0cLpUM7tf69/9HJnX+VJJ3c+Retf+9/pEM7L3hTs/gO7uds15iG12tchza+11z7Hez4AdL4+e7Xdp35DjYAAAAAS/Adb/iuKTc7O/M97VRJNWeGOqpMqR+mSx+eGTjP97Q7dblEJ50X658no5VzerTSQ/+uXm1K1anLJb7Xz3ewAQAAALQggjfqVbIvT2EfZOr0TzIVc3mK98qm3Ows7WXVrP61Qsy6NzWrMcIU8rML3NQsuqsi/r/P1fl4tSYcOanOFz+hiHahTQ/LZ7+P72ADAAAAsBCXmgey83z/umRfno4uvk4l+/LqrMvZVqj/98Z8dfhmq95+Y75ytp1zGXhTbnbWf5KO/HxdvWUe+fm6xn1PO8ypuA6RSrnsYsV1iCQsAwAAAGgVCN6txbkh+kLLavgmZg0G66OF+vafW/Xm6rc0PtQdyCeE5um/Vr+tb/+59fvvYTfxZmed2rmD8rnf064dBwAAAIBAxKXmLcz4Q4x+Kkk7JSlECnVI7bpIYRFSeKQ07FfSxy9IMqTxz7rflPuoToZfpIgzIbpt10E6se1Nta1nufyjFxR51a+1fu83GrTzr2pruG9i9lG7sUpNMPW/5ZV6c/VBLXF8H6x/sfpt/SR6sDotu06dJL0dLtWY7o/uqDK9Ff6gtOzMDpy5hPzsm52FGKbn9bw3OztzU7PTbeN1sPstSjjw3wo/cYibmgEAAAAIaE0K3osWLdIf//hHuVwu9e3bV1lZWbr66qsbnL9x40bNmTNHn332meLj43X//fdr+vTpXnNWrlypRx55RF999ZUuu+wy/eEPf9DPfvazppRna6Hm9493lmqk6gqp9PtLucs3LVDk/37u/vNHL8g4fUoRBzZLZrhkSJU7l2v14ViNL1pR73Lk3hxpb45SJZ3Jzt/fxExSR50/WJshYTJq6n4P2wwJkzHx++9hN+lmZ2duahYeGq7LDEMy7+GmZgAAAAACns/BOycnR7NmzdKiRYt05ZVX6sUXX9S4ceO0d+9eJSYm1plfUFCgG264Qb/85S/15ptv6qOPPtKMGTPUqVMn3XzzzZKkvLw8paen6/HHH9fPfvYzrV69WpMmTdKHH36oYcOG/fC99LfMaElSVZUUdoG/8Ygjn0tnwm7k3u8f0dVGlZKki4wT+o9DT3jmnLtcY34flo1zb2KmEBmGZJg1DQZrI6aX903SzjCmvS/FD/x+oKk3O+OmZgAAAACCjM/B+9lnn9XUqVM1bdo0SVJWVpbeffddLV68WPPmzasz/4UXXlBiYqKysrIkSb1799Ynn3yiP/3pT57gnZWVpbFjxyojI0OSlJGRoY0bNyorK0vLly+vt46KigpVVFR4lsvKyiRJVVVVqqqq8nW3LOWofXWcd5qks8+GN278XCHnmffNpHcU0y5cjteurbPu9J3vSnEDJNcuOSSZMmTI9LxWnT7t/s2B96cppm2IYtq6d6zKVD1zWp/afz92+3eE79Ej+6NH9keP7I8e2R89sjf6Y3+B0KPG1u5T8K6srNT27dv1wAMPeI2npqZqy5Yt9b4nLy9PqampXmPXXXedXn31VVVVVcnhcCgvL0+zZ8+uM6c2rNdn3rx5mjt3bp3x9evXKzIyspF71DImyP3YrcaG5+Zy7vev9+3apn2SrlHdYP3RRx+pNLJIbSr/V6PConXS0VFfx4xSt5KNiqj6X238eLdOhRe17A74WW5urr9LwAXQI/ujR/ZHj+yPHtkfPbI3+mN/rblH5eXljZrnU/AuKSlRdXW1unTp4jXepUsXFRcX1/ue4uLieuefPn1aJSUliouLa3BOQ9uU3GfF58yZ41kuKytTQkKCUlNTFRUV5ctuWa76hhIpM6ZRZ7wvpPZS8u9D9bnL7lcz4iJVtU/UwW43K+HrlQo/4dKVqRMlSea/n5MZ1VU1A2+Xkf9fUlmRe11UvPtDTt+qdqHh6msYkmlK1ZX6SRBdEl5VVaXc3FyNHTtWjuZoGpodPbI/emR/9Mj+6JH90SN7oz/2Fwg9qr3y+kKadHM145xTt6Zp1hm70Pxzx33dptPplNNZNww6HA57Nu0HlmSeOWNefVEPhZQeUHVMbxVcdpsSvlqm8COff7985k7hxl3r5ezYXT8yDMm8V6qulKM2PM/eIyM03L3BK6Z5r5PquSY+/IcV30rZ9t8SPOiR/dEj+6NH9keP7I8e2Rv9sb/W3KPG1u1T8I6JiVFoaGidM9GHDx+uc8a6VmxsbL3zw8LCdPHFF593TkPbbM1M86yFBn6vYMpQhfNitakokYxQFSbdq7jiDxRe7pLjzv8ntYmSw9n++zuDVxzzXj73TuHn3sSMG5wBAAAAQIvxKXiHh4dr8ODBys3N9XrUV25urm666aZ635OSkqK3337ba2z9+vUaMmSI57cDKSkpys3N9fqe9/r16zVixAhfyrO3zFLpyd463ecBrT9lKLVdOzk++Z109/+T2l4sOdq4Q7BpynC0UUSYUzpVJoU51c3RRjIfq//RW4YhtYnyXiZIAwAAAIBt+Hyp+Zw5czR58mQNGTJEKSkpeumll1RYWOh5LndGRoaKioq0dOlSSdL06dP13HPPac6cOfrlL3+pvLw8vfrqq153K585c6ZGjhypp59+WjfddJPWrl2r9957Tx9++GEz7aZNPPi5VFWl0+vWSdfdII1PO//8iOjv/0ygBgAAAIBWyefgnZ6eriNHjuj3v/+9XC6X+vXrp3Xr1qlbt26SJJfLpcLCQs/8Hj16aN26dZo9e7aef/55xcfHa+HChZ5HiUnSiBEjtGLFCj388MN65JFHdNlllyknJycwnuENAAAAAAhqTbq52owZMzRjxox612VnZ9cZGzVqlHbs2HHebd5yyy265ZZbmlIOAAAAAAC2FeLvAgAAAAAACGQEbwAAAAAALETwBgAAAADAQgRvAAAAAAAsRPAGAAAAAMBCBG8AAAAAACxE8AYAAAAAwEIEbwAAAAAALETwBgAAAADAQgRvAAAAAAAsRPAGAAAAAMBCBG8AAAAAACwU5u8CmotpmpKksrIyP1dyflVVVSovL1dZWZkcDoe/y0E96JH90SP7o0f2R4/sjx7ZHz2yN/pjf4HQo9r8WZtHGxIwwfvYsWOSpISEBD9XAgAAAAAIJseOHVN0dHSD6w3zQtG8laipqdGhQ4fUvn17GYbh73IaVFZWpoSEBB08eFBRUVH+Lgf1oEf2R4/sjx7ZHz2yP3pkf/TI3uiP/QVCj0zT1LFjxxQfH6+QkIa/yR0wZ7xDQkJ0ySWX+LuMRouKimq1/7iCBT2yP3pkf/TI/uiR/dEj+6NH9kZ/7K+19+h8Z7prcXM1AAAAAAAsRPAGAAAAAMBCBO8W5nQ69dhjj8npdPq7FDSAHtkfPbI/emR/9Mj+6JH90SN7oz/2F0w9CpibqwEAAAAAYEec8QYAAAAAwEIEbwAAAAAALETwBgAAAADAQgRvAAAAAAAsRPAGAAAAAMBCBO8WtGjRIvXo0UNt2rTR4MGDtXnzZn+XFJAyMzNlGIbXT2xsrGe9aZrKzMxUfHy8IiIidM011+izzz7z2kZFRYV++9vfKiYmRm3bttVPf/pT/fvf//aa891332ny5MmKjo5WdHS0Jk+erKNHj7bELrY6mzZt0oQJExQfHy/DMLRmzRqv9S3Zk8LCQk2YMEFt27ZVTEyM7r33XlVWVlqx263KhXp055131jmuhg8f7jWHHllr3rx5Gjp0qNq3b6/OnTtr4sSJ2rdvn9ccjiX/aUx/OI78a/Hixerfv7+ioqIUFRWllJQU/e1vf/Os5/jxvwv1iGPIfubNmyfDMDRr1izPGMdSA0y0iBUrVpgOh8N8+eWXzb1795ozZ84027Zta3799df+Li3gPPbYY2bfvn1Nl8vl+Tl8+LBn/VNPPWW2b9/eXLlypbl7924zPT3djIuLM8vKyjxzpk+fbnbt2tXMzc01d+zYYY4ePdocMGCAefr0ac+c66+/3uzXr5+5ZcsWc8uWLWa/fv3M8ePHt+i+thbr1q0zH3roIXPlypWmJHP16tVe61uqJ6dPnzb79etnjh492tyxY4eZm5trxsfHm/fcc4/lfwd2d6EeTZkyxbz++uu9jqsjR454zaFH1rruuuvMJUuWmHv27DHz8/PNG2+80UxMTDSPHz/umcOx5D+N6Q/HkX+99dZb5jvvvGPu27fP3Ldvn/nggw+aDofD3LNnj2maHD92cKEecQzZyz/+8Q+ze/fuZv/+/c2ZM2d6xjmW6kfwbiFXXHGFOX36dK+xH//4x+YDDzzgp4oC12OPPWYOGDCg3nU1NTVmbGys+dRTT3nGTp06ZUZHR5svvPCCaZqmefToUdPhcJgrVqzwzCkqKjJDQkLM//mf/zFN0zT37t1rSjK3bt3qmZOXl2dKMr/44gsL9ipwnBvqWrIn69atM0NCQsyioiLPnOXLl5tOp9MsLS21ZH9bo4aC90033dTge+hRyzt8+LApydy4caNpmhxLdnNuf0yT48iOLrroIvOVV17h+LGx2h6ZJseQnRw7dszs2bOnmZuba44aNcoTvDmWGsal5i2gsrJS27dvV2pqqtd4amqqtmzZ4qeqAtuXX36p+Ph49ejRQ//n//wf/etf/5IkFRQUqLi42KsXTqdTo0aN8vRi+/btqqqq8poTHx+vfv36eebk5eUpOjpaw4YN88wZPny4oqOj6amPWrIneXl56tevn+Lj4z1zrrvuOlVUVGj79u2W7mcg2LBhgzp37qxevXrpl7/8pQ4fPuxZR49aXmlpqSSpY8eOkjiW7Obc/tTiOLKH6upqrVixQidOnFBKSgrHjw2d26NaHEP28Jvf/EY33nijxowZ4zXOsdSwMH8XEAxKSkpUXV2tLl26eI136dJFxcXFfqoqcA0bNkxLly5Vr1699M033+iJJ57QiBEj9Nlnn3n+vuvrxddffy1JKi4uVnh4uC666KI6c2rfX1xcrM6dO9f57M6dO9NTH7VkT4qLi+t8zkUXXaTw8HD6dgHjxo3Trbfeqm7duqmgoECPPPKIfvKTn2j79u1yOp30qIWZpqk5c+boqquuUr9+/SRxLNlJff2ROI7sYPfu3UpJSdGpU6fUrl07rV69Wn369PH8hzzHj/811COJY8guVqxYoR07dmjbtm111vH/RQ0jeLcgwzC8lk3TrDOGH27cuHGePyclJSklJUWXXXaZXn/9dc8NOJrSi3Pn1DefnjZdS/WEvjVNenq658/9+vXTkCFD1K1bN73zzjtKS0tr8H30yBr33HOPPv30U3344Yd11nEs+V9D/eE48r/LL79c+fn5Onr0qFauXKkpU6Zo48aNnvUcP/7XUI/69OnDMWQDBw8e1MyZM7V+/Xq1adOmwXkcS3VxqXkLiImJUWhoaJ3fvBw+fLjOb2nQ/Nq2baukpCR9+eWXnrubn68XsbGxqqys1HfffXfeOd98802dz/r222/pqY9asiexsbF1Pue7775TVVUVffNRXFycunXrpi+//FISPWpJv/3tb/XWW2/p73//uy655BLPOMeSPTTUn/pwHLW88PBw/ehHP9KQIUM0b948DRgwQAsWLOD4sZGGelQfjqGWt337dh0+fFiDBw9WWFiYwsLCtHHjRi1cuFBhYWGevx+OpboI3i0gPDxcgwcPVm5urtd4bm6uRowY4aeqgkdFRYU+//xzxcXFqUePHoqNjfXqRWVlpTZu3OjpxeDBg+VwOLzmuFwu7dmzxzMnJSVFpaWl+sc//uGZ8/HHH6u0tJSe+qgle5KSkqI9e/bI5XJ55qxfv15Op1ODBw+2dD8DzZEjR3Tw4EHFxcVJokctwTRN3XPPPVq1apU++OAD9ejRw2s9x5J/Xag/9eE48j/TNFVRUcHxY2O1PaoPx1DLu/baa7V7927l5+d7foYMGaLbb79d+fn5uvTSSzmWGmLxzdtwRu3jxF599VVz79695qxZs8y2bduaBw4c8HdpAed3v/uduWHDBvNf//qXuXXrVnP8+PFm+/btPX/XTz31lBkdHW2uWrXK3L17t/nzn/+83kccXHLJJeZ7771n7tixw/zJT35S7yMO+vfvb+bl5Zl5eXlmUlISjxNrwLFjx8ydO3eaO3fuNCWZzz77rLlz507P4/Raqie1j5249tprzR07dpjvvfeeeckll9j2sRMt6Xw9OnbsmPm73/3O3LJli1lQUGD+/e9/N1NSUsyuXbvSoxb061//2oyOjjY3bNjg9Sid8vJyzxyOJf+5UH84jvwvIyPD3LRpk1lQUGB++umn5oMPPmiGhISY69evN02T48cOztcjjiH7Ovuu5qbJsdQQgncLev75581u3bqZ4eHh5qBBg7weMYLmU/usQIfDYcbHx5tpaWnmZ5995llfU1NjPvbYY2ZsbKzpdDrNkSNHmrt37/baxsmTJ8177rnH7NixoxkREWGOHz/eLCws9Jpz5MgR8/bbbzfbt29vtm/f3rz99tvN7777riV2sdX5+9//bkqq8zNlyhTTNFu2J19//bV54403mhEREWbHjh3Ne+65xzx16pSVu98qnK9H5eXlZmpqqtmpUyfT4XCYiYmJ5pQpU+r8/dMja9XXH0nmkiVLPHM4lvznQv3hOPK/X/ziF57/DuvUqZN57bXXekK3aXL82MH5esQxZF/nBm+OpfoZpmmaLXd+HQAAAACA4MJ3vAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALAQwRsAAAAAAAsRvAEAAAAAsBDBGwAAAAAACxG8AQAAAACwEMEbAAAAAAALEbwBAAAAALDQ/w8TqpLfySYE/AAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,6])\n",
    "plot(x, yexact, \".\", label=\"exact\")\n",
    "plot(x, y, \"*\", label=\"noisy\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52124545-3eb2-49f2-872f-1ba655e7e68f",
   "metadata": {},
   "source": [
    "A log-log plot makes the situation far clearer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "constitutional-realtor",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,6])\n",
    "loglog(x, yexact, \".\", label=\"exact\")\n",
    "loglog(x, y, \"*\", label=\"noisy\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "interim-montgomery",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p=1.5020792216138505, c=1.9902712275660268"
     ]
    }
   ],
   "source": [
    "X = log.(x)\n",
    "Y = log.(y)\n",
    "pC = polyfit(X, Y, 1)\n",
    "c = exp(pC[1])\n",
    "p = pC[2]\n",
    "print(\"p=$p, c=$c\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "clinical-accused",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,6])\n",
    "plot(x, yexact, \".\", label=\"exact\")\n",
    "plot(x, y, \"*\", label=\"noisy\")\n",
    "plot(xplot, c * xplot.^p)\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "institutional-shame",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,6])\n",
    "loglog(x, yexact, \".\", label=\"exact\")\n",
    "loglog(x, y, \"*\", label=\"noisy\")\n",
    "loglog(xplot, c * xplot.^p)\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "noble-lewis",
   "metadata": {},
   "source": [
    "---\n",
    "This work is licensed under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.8.1",
   "language": "julia",
   "name": "julia-1.8"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
