{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### **Course**: BIO-341 [_Dynamical systems in biology_](https://moodle.epfl.ch/course/info.php?id=14291)\n",
    "\n",
    "**Professor**: _Julian Shillcock_ & _Felix Naef_\n",
    "\n",
    "SSV, BA5, 2025\n",
    "\n",
    "Note that this document is primarily aimed at being consulted as a Jupyter notebook, the PDF rendering being not optimal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ipywidgets import interact\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.0 Fractal dimension of the Koch curve (only this question is a model exam question)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Koch curve is a continuous, non-differentiable curve defined in the unit interval (0,1). It is constructed using the following steps:\n",
    "\n",
    "1)\tDraw a unit interval\n",
    "2)\tRemove the middle third segment, and replace it by two sides of a triangle with side length 1/3.\n",
    "3)\tFor each straight segment of the curve, remove the middle third, and replace it by the two sides of a triangle whose lengths are equal to one third of the length of the original segment.\n",
    "4)\tRepeat step 3 infinitely many times.\n",
    "\n",
    "Using the box counting method of calculating the Fractal Dimension find the dimension of the Koch curve (see figure below):\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def koch_iter(points):\n",
    "    new_points = []\n",
    "    for i in range(len(points) - 1):\n",
    "        p1 = points[i]\n",
    "        p2 = points[i+1]\n",
    "        v = p2 - p1\n",
    "        s = p1 + v/3.0\n",
    "        t = p1 + 2.0*v/3.0\n",
    "        # rotate by +60 degrees around s to get the peak\n",
    "        rot = np.array([[np.cos(np.pi/3), -np.sin(np.pi/3)],\n",
    "                        [np.sin(np.pi/3),  np.cos(np.pi/3)]])\n",
    "        peak = s + rot.dot((t - s))\n",
    "        new_points += [p1, s, peak, t]\n",
    "    new_points.append(points[-1])\n",
    "    return np.array(new_points)\n",
    "\n",
    "def koch_curve(n):\n",
    "    pts = np.array([[0.0, 0.0], [1.0, 0.0]])\n",
    "    for _ in range(n):\n",
    "        pts = koch_iter(pts)\n",
    "    return pts\n",
    "\n",
    "fig, axes = plt.subplots(4, 1, figsize=(6, 8))\n",
    "for idx, n in enumerate([0, 1, 2, 3]):\n",
    "    pts = koch_curve(n)\n",
    "    axes[idx].plot(pts[:,0], pts[:,1], color=\"black\", linewidth=1)\n",
    "    axes[idx].set_title(f\"Iteration {n}\")\n",
    "    axes[idx].set_aspect('equal', adjustable='box')\n",
    "    axes[idx].axis('off')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Box-counting dimension of the Koch curve\n",
    "\n",
    "The box-counting dimension of a set $F\\subset \\mathbb{R}^2$ is defined as\n",
    "\n",
    "$$\n",
    "d = \\lim_{\\varepsilon \\to 0} \\frac{\\ln N(\\varepsilon)}{\\ln(1/\\varepsilon)},\n",
    "$$\n",
    "\n",
    "where  $N(\\varepsilon)$ is the minimal number of squares of side length $\\varepsilon$ needed to cover $F$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solution Ex 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "For the Koch curve, after $k$ iterations:\n",
    "\n",
    "- The curve consists of $4^k$ segments.\n",
    "- Each segment has length $3^{-k}$ of the original.\n",
    "\n",
    "If we choose box size $\\varepsilon = 3^{-k}$, each segment fits inside a single $\\varepsilon$-box. Therefore,\n",
    "\n",
    "$$\n",
    "N(\\varepsilon) = 4^k \n",
    "\\quad\\text{when}\\quad \n",
    "\\varepsilon = 3^{-k}.\n",
    "$$\n",
    "\n",
    "Substituting into the definition:\n",
    "\n",
    "$$\n",
    "d\n",
    "= \\lim_{\\varepsilon\\to 0}\n",
    "\\frac{\\ln N(\\varepsilon)}{\\ln(1/\\varepsilon)}\n",
    "= \\lim_{k\\to\\infty}\n",
    "\\frac{\\ln(4^k)}{\\ln(3^k)}\n",
    "= \\frac{\\ln 4}{\\ln 3}.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "The sine map is defined by the iteration scheme:\n",
    "\\begin{equation}\n",
    "    X_{n+1} = r \\sin(\\pi x_n)\n",
    "\\end{equation}\n",
    "For a constant parameter $ 0 < r < 1 $, and an initial value that satisfies $ 0 < x_0 < 1 $.\n",
    "\n",
    "\n",
    "Write a Python code that iterates the above map, given the parameters: $ r $, the number of iterations $ N $, and an initial point $ x_0 $. The code should either write the iterates to a file for later plotting, or plot them directly. Use 2000 iterations and discard the first 1000 points for plotting or calculations to remove the initial transients in the map."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to find the fixed point we want to find the point $x_{FP}$ such that:\n",
    "$$\n",
    "x_{FP} = r sin( \\pi x_{FP})\n",
    "$$\n",
    "One solution of the equation is obviously 0, for the other ones (if any), we need to use numerical approaches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "\n",
    "def sin_map(x, r):\n",
    "    '''\n",
    "    Sinusoidal map\n",
    "    '''\n",
    "    return r * np.sin(np.pi * x)\n",
    "\n",
    "def sin_map_prime(x, r):\n",
    "    '''\n",
    "    Derivative of the sinusoidal map\n",
    "    '''\n",
    "    return r * np.pi * np.cos(np.pi * x)\n",
    "\n",
    "def equation(x, r):\n",
    "    return sin_map(x,r) - x\n",
    "\n",
    "def find_fixed_point(r):\n",
    "    initial_guess = 0.7\n",
    "    return fsolve(equation, initial_guess, args=(r,))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2.1\n",
    "\n",
    "Wrap the iteration function in a loop over a user-defined range of r values, and plot all the iterates for each r value in the same graph. It should start to look like the figure below, i.e., for each value of r, all the iterates produced from the initial value x0 should be plotted vertically. If you want, you can change the value of x0 for each value of r, but because the map is “chaotic”, it doesn’t really matter. NB. Don’t use x0 = 0, or 1!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trajectory(r, N, x0):\n",
    "    '''\n",
    "    Compute the trajectory of the sinusoidal map\n",
    "    '''\n",
    "    x = np.zeros(N)\n",
    "    x[0] = x0\n",
    "    for i in range(1, N):\n",
    "        x[i] = sin_map(x[i-1], r)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this exercise we just need to run the trajectory function for different values of r.   \n",
    "Notice how we run the system for 100 iterations, but than we plot only the last 50: we basically make sure that the system has time to evolve from x0 to the asymptotic solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 0.5\n",
    "n_last = 150\n",
    "r_values = np.linspace(0.1, 1.0, 1500)\n",
    "\n",
    "# Initialize arrays to store plot data\n",
    "x_plot = []\n",
    "y_plot = []\n",
    "\n",
    "for r in r_values:\n",
    "    tr = trajectory(r, 200, x0)\n",
    "    y = tr[-n_last:]\n",
    "\n",
    "    x_plot.extend([r] * n_last)\n",
    "    y_plot.extend(y)\n",
    "\n",
    "# Now plot all points at once\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(x_plot, y_plot, s=0.1, c='black')\n",
    "\n",
    "# Vertical line at r = 1\n",
    "plt.axvline(x=1, color='r', linestyle='--')\n",
    "\n",
    "plt.title('$x_0 = $ ' + str(x0))\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zooming in to a more narrow range of $r$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(x_plot, y_plot, s=0.1, c='black')\n",
    "\n",
    "\n",
    "plt.title('$x_0 = $ ' + str(x0))\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x')\n",
    "\n",
    "plt.xlim(0.7, 0.9)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "1.2 For r = 0.6, iterate the map for at least 5 initial values randomly chosen between (0, 1). What do you observe? Then repeat for r = 0.72 and 0.75. What do you observe in your plot of xn against increasing r values?\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15a501940>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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J5/1fjrHm0HUAmlYowvQedSjq5qBxsvwnRU5W6XRZ6jKyBAMHDmT69Olcv36dli1b4uvrm/Gz3Oiuyo6sXjpuZ2dHy5YtadmyJRMmTMDT05M//viDF198MdvHNBqNVKtWjRMnTtw3T87hw4dJSkrKaGHZt28frq6ulCpV6pGv+aDLx6Oioujfvz/jx48nPDycPn36cOjQoYzXBjh27Bj29vZUr1492+9DCCGy61R4LEMXH+L8rQT0OnizZSWGNK9QYLqn7iVFjg3q06cPY8aM4bvvvmPRokWZfpYb3VW5bePGjVy4cIGnn36aQoUKERQUhNlspnLlyjl+zTZt2rBr1677JvZLTU1lwIABvPfee1y+fJkJEyYwbNiw+8bjZMXgwYPx9fXlvffeIzU1FX9/f8aMGcOcOXMy9gkODiYwMDBT4SOEELlNURSW77/KhPXHSUk34+3uwMyedWlQrrDW0TQlRY4Ncnd3p0uXLmzatInOnTtrHeexPD09WbNmDRMnTiQ5OZmKFSuydOnSJ2r9GDRoEP7+/sTExODh4ZGxvUWLFlSsWJGnn36alJQUevbsycSJE7P9+osWLSIoKIiQkBDs7Oyws7Nj8eLFNG7cmPbt29OuXTsAli5dyqRJk3L8PoQQ4nHiU9IZt+Yo6w+rQyqeqVSUL7vXprBrweueupfMeGyjMx63atWKqlWrMnPmTK2jaKZ79+7UrVuXsWPHAmrXWXR0NOvWrcuX42/atIm3336bI0eOYGf34L8nrP1zJoTQ1vEbMQxbEsLFyAQMeh1vt6nMa4Hl0Nt491RWZzyWlhwbExUVxdatW/njjz+YPXu21nE09fnnn7N+/XrNjp+QkMCCBQseWuAIIUROKYrCz39d4cONJ0hNN1PCw5FZvesS4Jd7Yyptgfz2tTH+/v7cuXOHTz/99InGtNgCPz8/hg8frtnxu3fvrtmxhRC2KzY5jbGrj7LpaBgALasW4/OutSnkYtQ4meWRIsfGXLp0SesIFuvuYqFCCGGtjlyLZtiSEK5EJWKn1/Fu2yoMaFr2sdN6FFRS5AghhBAWTlEUFu65xJSgk6SZFEp6OjG7d13qli6kdTSLJkWOEEIIYcFiEtP43+rDbDl+E4A21b35rEttPJztH/NMIUWOEEIIYaFCrtxh2JIQrkcnYTToGdeuCi83LiPdU1kkRY4QQghhYRRF4fvgi3y6+RTpZoXSXs7M6e1PzVIej3+yyCBFjhBCCGFB7iSkMmblYX4/pS463L6WD1NfrIm7o3RPZZcUOUIIIYSFOHApihFLQ7gRk4zRTs8HHarRp0Fp6Z7Koewv2CMsmqIovPbaa3h5eaHT6QgNDaVZs2b3reGU2yZOnEidOnXy9BgAZcqU4auvvsrz4wghRH4ymxXm7jhHj2/3cSMmmbJFXFg7pDEvNfSTAucJSEtOHjsVHsvmY+HEJqXj7mTHczWKU6X4w6egflKbN29m4cKF7Nixg3LlylGkSBHWrFmDvb1tNHPu378fF5esrwa/Y8cOmjdvzp07d/D09My7YEIIkUOR8SmMXnGYP8/cAqBznRJ89EJNXB3kK/pJyRnMI5ciExi9IpRDV6Ix6HXodWBW4KvfzhLgV4gvutWmTJGsf1ln1fnz5/Hx8aFx48YZ27y8bGea76JFi2odQQghcs2+C7cZuSyEm7EpONrrmdSpOt3r+UrrTS6R7qo8cCkygefn7ObwtRgATGaFNJOCyayuhRp6NZrn5+zmUmRCrh63f//+DB8+nCtXrqDT6ShTpgxApu6qU6dO4ezszJIlSzKet2bNGhwdHTl69CgAMTExvPbaaxQrVgx3d3eeffZZDh8+nOlYn3zyCd7e3ri5uTFgwACSk5MfmW3Hjh3odDo2bdpE7dq1cXR0pEGDBhnHvGv16tVUr14dBwcHypQpwxdffJHp5/d2V+l0Or7//nteeOEFnJ2dqVixYsZ6VZcuXaJ58+YAFCpUCJ1OR//+/bN0LoUQIi+ZzAozfz9L7+/2cTM2hQrFXPllaFN6PCXjb3KTFDl5YPSKUOJT0jOKmnuZzArxKemMWXn4gT/PqRkzZjB58mRKlSpFWFgY+/fvv2+fKlWqMG3aNIYMGcLly5e5ceMGgwYN4pNPPqFmzZooikL79u0JDw8nKCiIgwcP4u/vT4sWLYiKigJgxYoVTJgwgY8//pgDBw7g4+PD3Llzs5Tx7bffZtq0aezfv59ixYrRqVMn0tLSADh48CDdu3enZ8+eHD16lIkTJ/L+++8/djmGSZMm0b17d44cOUK7du3o06cPUVFR+Pr6snr1agBOnz5NWFgYM2bMyMYZFUKI3BcRl0y/+X/x5bYzmBXoGlCK9cOaULm4m9bRbI50V+WyU+GxHLoS/dj9TGaFA5fvcCo8NtfG6Hh4eODm5obBYKB48eIP3W/IkCEEBQXRt29fjEYjAQEBjBw5EoDt27dz9OhRIiIicHBwAGDatGmsW7eOVatW8dprr/HVV1/x6quvMnDgQAA++ugjfvvtt8e25gBMmDCBVq1aAfDjjz9SqlQp1q5dS/fu3fnyyy9p0aIF77//PgCVKlXixIkTfP75549sgenfvz+9evUCYMqUKcyaNYu///6b5557LqOrrlixYjImRwihud3nIhm5LJTI+BSc7A181LkGXQJKaR3LZklLTi7bfCwcgz5rTY0GvY4tx27mcaIHmz9/PkeOHOHQoUMsXLgwo3n04MGDxMfHU7hwYVxdXTNuFy9e5Pz58wCcPHmSRo0aZXq9ex8/zH/38/LyonLlypw8eTLjdZs0aZJp/yZNmnD27FlMJtNDX7NWrVoZ911cXHBzcyMiIiJLeYQQIj+YzApfbj3NSz/8RWR8CpW93dgwvIkUOHlMWnJyWWxSOnodPPwr+V96HcQkpeV5pgc5fPgwCQkJ6PV6wsPDKVGiBABmsxkfHx927Nhx33PyqiXkboGlKMp9fdGK8uAuv/+698oxnU6H2WzOvYBCCPEEbsYmM2JpCH9dVLv8ez7ly4SO1XEyGjROZvukyMll7k52PGQozn3MCng45f+l3VFRUfTv35/x48cTHh5Onz59OHToEE5OTvj7+xMeHo6dnV3GwOV7Va1alX379tGvX7+Mbfv27cvSsfft20fp0qUBuHPnDmfOnKFKlSoAVKtWjV27dmXaf8+ePVSqVAmDIWe/DIxGI8AjW4KEECKv7DgdwegVh4lKSMXFaGDKizV5vk5JrWMVGNJdlcueq1H8oQOO72UyKzxX4+FjZ/LK4MGD8fX15b333uPLL79EURTGjBkDQMuWLWnUqBGdO3dmy5YtXLp0iT179vDee+9x4MABAEaOHMn8+fOZP38+Z86cYcKECRw/fjxLx548eTK///47x44do3///hQpUoTOnTsD8NZbb/H777/z4YcfcubMGX788Udmz56dkS0n/PzUibQ2btzIrVu3iI+Pz/FrCSFEVqWbzHy6+RT9F+wnKiGVaj7ubBjeVAqcfCZFTi6rUtwd/9Kejx2XY9DrqOdXKN9H0y9atIigoCB++ukn7OzscHZ2ZvHixXz//fcEBQWh0+kICgri6aef5tVXX6VSpUr07NmTS5cu4e3tDUCPHj344IMPeOeddwgICODy5cu88cYbWTr+J598wsiRIwkICCAsLIz169dntLb4+/uzYsUKli1bRo0aNfjggw+YPHnyE132XbJkSSZNmsS7776Lt7c3w4YNy/FrCSFEVtyITqLnt/uYt0Mdx9i3oR9rhjSmXFFXjZMVPDolK4MebFRsbCweHh7ExMTg7p75Cqfk5GQuXrxI2bJlcXR0zNbr3p0n52GXkRv0Olwd7PhlaJM8mRDQEsnMww/2JJ8zIYTl+f3kTd5aeZjoxDTcHOz4tGst2tX00TqWzXnU9/d/SUtOHihTxIVfhjahrq8noBY19gZdRutOXV/PAlXgCCGErUtNN/PxphMM+PEA0Ylp1CrlwaYRgVLgaEwGHueRMkVcWPVGY06Fx7Ll2E1iktLwcLLnuRrFZcInIYSwIVejEhm+NITQq9EAvNKkDO+2rYKDnVw9pTUpcvJYleLuebogp7Vo1qxZli4HF0IIa7LleDhvrzxMbHI67o52fN6tNm2q5/8FJeLBpMgRQgghsikl3cTUoFMs3HMJgDq+nszqVRdfL2dtg4lMpMgRQgghsuHy7QSGLQnh6HV1EeZBgWV5u00VjHYyzNXSSJHzGNLFIvKSfL6EsC6bjoTx7uojxKWk4+lszxfdatOiqrfWscRDSJHzEHeXCkhMTMTJyUnjNMJWJSYmAvcvTSGEsCzJaSY+2nSCn/ddAaCeXyFm9qpLCU/5frBkUuQ8hMFgwNPTM2OhR2dn5/vWVRIipxRFITExkYiICDw9PXO8bIUQIu9djExg6OJDnAiLBWBIs/K82aoS9gbpnrJ0UuQ8QvHi6gh5WdFa5BVPT8+Mz5kQwvL8EnqdcWuOkpBqwsvFyPQedXimUlGtY4kskiLnEXQ6HT4+PhQrVoy0NG1WCxe2y97eXlpwhLBQyWkmJq4/zrL9VwFoUNaLGT3rUtxDZia3JlLkZIHBYJAvIyGEKCDORcQxdHEIp2/GodPB8OYVGNGiInbSPWV1pMgRQggh/rHq4DXeX3eMpDQTRVwd+KpHHZpWLKJ1LJFDUuQIIYQo8BJT03l/3XFWH7oGQJMKhZneow7F3KR7yppJkSOEEKJAOx0ex9AlhzgXEY9eB6NaVmJo8woZiyoL62VRHYxz586lbNmyODo6EhAQQHBw8CP3X7x4MbVr18bZ2RkfHx9eeeUVbt++nU9phRBCWDNFUVi+/wrPz9nFuYh4vN0dWDKoISNaVJQCx0ZYTJGzfPlyRo0axfjx4wkJCSEwMJC2bdty5cqVB+6/a9cu+vXrx4ABAzh+/DgrV65k//79DBw4MJ+TCyGEsDbxKem8uTyUd1YfJTnNzNOVihI0IpCG5QprHU3kIp1iIfPKN2jQAH9/f+bNm5exrWrVqnTu3JmpU6fet/+0adOYN28e58+fz9g2a9YsPvvsM65evZqlY8bGxuLh4UFMTAzu7rJSuBBCFATHb8QwfEkIFyITMOh1jGldmdefLodeWm+sRla/vy2iJSc1NZWDBw/SunXrTNtbt27Nnj17Hvicxo0bc+3aNYKCglAUhZs3b7Jq1Srat2//0OOkpKQQGxub6SaEEKJgUBSFn/dd5oW5e7gQmYCPhyPLX2vIG83KS4FjoyyiyImMjMRkMuHtnXmRM29vb8LDwx/4nMaNG7N48WJ69OiB0WikePHieHp6MmvWrIceZ+rUqXh4eGTcfH19c/V9CCGEsEyxyWkMWxrCe+uOkZpu5tkqxQgaEUi9Ml5aRxN5yCKKnLvuXRtKUZSHrhd14sQJRowYwQcffMDBgwfZvHkzFy9eZPDgwQ99/bFjxxITE5Nxy2q3lhBCCOt19FoMHWftYtORMOz0Osa1q8L3/epRyMWodTSRxyziEvIiRYpgMBjua7WJiIi4r3XnrqlTp9KkSRPefvttAGrVqoWLiwuBgYF89NFH+Pj43PccBwcHHBwccv8NCCGEsDiKovDjnktMCTpFqslMSU8nZvWui3/pQlpHE/nEIlpyjEYjAQEBbNu2LdP2bdu20bhx4wc+JzExEb0+c/y7Sy9YyFhqIYQQGolJTGPwzweZuOEEqSYzrat5EzQiUAqcAsYiWnIARo8eTd++falXrx6NGjXi22+/5cqVKxndT2PHjuX69essWrQIgI4dOzJo0CDmzZtHmzZtCAsLY9SoUdSvX58SJUpo+VaEEEJoKOTKHYYvDeHanSTsDTrGtatK/8ZlHjr8QdguiylyevTowe3bt5k8eTJhYWHUqFGDoKAg/Pz8AAgLC8s0Z07//v2Ji4tj9uzZvPXWW3h6evLss8/y6aefavUWhBBCaEhRFH7YdZFPfj1FulmhtJczs3vXpVYpT62jCY1YzDw5WpB5coQQwjbcSUhlzMrD/H4qAoD2NX2Y2qUm7o72GicTeSGr398W05IjhBBC5MSBS1GMWBrCjZhkjHZ6PuhQjT4NSkv3lJAiRwghhHUymxW+/vM8X2w9g8msULaIC7N716V6CQ+towkLIUWOEEIIq3M7PoXRKw6z88wtAJ6vU4KPX6iJq4N8rYl/yadBCCGEVfnrwm1GLAvhZmwKDnZ6Jj9fne71fKV7StxHihwhhBBWwWRWmLv9HNN/O4NZgfJFXZjbJ4DKxd20jiYslBQ5QgghLN6tuBRGLQ9h97nbAHTxL8WHnavjbJSvMfFw8ukQQghh0Xafi2TkslAi41NwsjfwYecadA0opXUsYQWkyBFCCGGRTGaFGb+fZdYfZ1EUqOztxuzedanoLd1TImukyBFCCGFxbsYmM3JZCPsuRAHQ8ylfJnSsjpPRoHEyYU2kyBFCCGFR/jxzizeXh3I7IRUXo4GPX6hJ57oltY4lrJAUOUIIISxCusnMl9vOMHfHeQCq+rgzp3ddyhV11TiZsFZS5AghhNDcjegkRiwN4cDlOwD0aVCa9ztUw9FeuqdEzkmRI4QQQlN/nLrJ6BWHiU5Mw9XBjk+61KRDrRJaxxI2QIocIYQQmkgzmfl8y2m+/fMCADVLejC7d138CrtonEzYCilyhBBC5LurUYkMXxpC6NVoAPo3LsPYdlVwsJPuKZF7pMgRQgiRr7YcD+ftlYeJTU7H3dGOz7rW5rkaxbWOJWyQFDlCCCHyRUq6iU9+PcWC3ZcAqO3ryexedfH1ctY2mLBZUuQIIYTIc1duJzJ0ySGOXo8BYFBgWd5uUwWjnV7jZMKWSZEjhBAiTwUdDeOdVUeIS0nH09meaV1r07Kat9axRAEgRY4QQog8kZxmYkrQSRbtvQxAgF8hZvWqSwlPJ42TiYJCihwhhBC57mJkAkMXH+JEWCwAbzQrz+hWlbA3SPeUyD9S5AghhMhVv4ReZ9yaoySkmvByMfJl99o0q1xM61iiAJIiRwghRK5ITjMxacNxlv59FYD6Zb2Y2bMuxT0cNU4mCiopcoQQQjyxcxHxDF18iNM349DpYFjzCoxsURE76Z4SGpIiRwghxBNZffAa7607RlKaiSKuDnzVow5NKxbROpYQUuQIIYTImcTUdD745TirDl4DoHH5wnzVsw7F3KR7SlgGKXKEEEJk25mbcQxdfIizEfHodTCyRSWGPVsBg16ndTQhMkiRI4QQIssURWHlgWt8sP4YyWlmirk5MKNnXRqVL6x1NCHuI0WOEEKILIlPSee9tUdZF3oDgMCKRZjeow5FXB00TibEg0mRI4QQ4rFO3Ihl2JJDXIhMwKDXMbpVJd54pjx66Z4SFkyKHCGEEA+lKApL/r7CpA0nSE03U9zdkVm96/JUGS+townxWFLkCCGEeKC45DTeXXOUTUfCAGheuShfdK+Dl4tR42RCZI0UOUIIIe5z7HoMQ5cc4vLtROz0Ov73XGUGNi0n3VPCqkiRI4QQIoOiKCzae5mPN50k1WSmpKcTs3rXxb90Ia2jCZFtUuQIIYQAICYpjXdWHWHz8XAAWlXz5vOutfB0lu4pYZ2kyBFCCEHo1WiGLTnEtTtJ2Bt0jG1blVealEGnk+4pYb2kyBFCiAJMURR+2HWRTzefIs2k4OvlxOxe/tT29dQ6mhBPTIocIYQooKITUxmz8jC/nYwAoG2N4nzSpRYeTvYaJxMid0iRI4QQBdDBy1EMXxLCjZhkjAY973eoyksN/aR7StgUKXKEEKIAMZsVvg2+wOdbTmMyK5Qp7Mzs3v7UKOmhdTQhcp0UOUIIUUDcjk/hrZWH2XH6FgCdapdgyos1cXWQrwJhm+STLYQQBcBfF24zYlkIN2NTcLDTM7FTdXo+5SvdU8KmSZEjhBA2zGRWmLv9HNN/O4NZgXJFXZjT25+qPu5aRxMiz0mRI4QQNupWXApvLg9l17lIAF6sW5IPO9fARbqnRAEhn3QhhLBBe85FMnJ5KLfiUnCyNzD5+ep0q+erdSwh8pUUOUIIYUNMZoUZv51h1vZzKApU8nZlTm9/Knq7aR1NiHwnRY4QQtiIm7HJjFwWwr4LUQD0qOfLxE7VcTIaNE4mhDakyBFCCBvw55lbvLk8lNsJqTgbDUx5oSad65bUOpYQmpIiRwghrFi6ycyX284wd8d5AKoUd2NOH3/KF3XVOJkQ2pMiRwghrFRYTBIjloaw/9IdAPo0KM37HarhaC/dU0KAFDlCCGGVtp+KYPSKUO4kpuHqYMfUF2vSsXYJrWMJYVGkyBFCCCuSZjIzbctpvvnzAgA1Srozu5c/ZYq4aJxMCMsjRY4QQliJa3cSGb40hJAr0QD0b1yGse2q4GAn3VNCPIgUOUIIYQW2Hg/n7VVHiElKw83Rjs+71uK5Gj5axxLCokmRI4QQFiw13cwnv55i/u6LANQu5cHs3v74ejlrnEwIyydFjhBCWKirUYkMW3KIw9diABjQtCzvPFcFo51e42RCWAeL+pcyd+5cypYti6OjIwEBAQQHBz9y/5SUFMaPH4+fnx8ODg6UL1+e+fPn51NaIYTIO78eDaPdzGAOX4vBw8me7/rV4/0O1aTAESIbLKYlZ/ny5YwaNYq5c+fSpEkTvvnmG9q2bcuJEycoXbr0A5/TvXt3bt68yQ8//ECFChWIiIggPT09n5MLIUTuSU4zMSXoJIv2XgbAv7Qns3r7U9LTSeNkQlgfnaIoitYhABo0aIC/vz/z5s3L2Fa1alU6d+7M1KlT79t/8+bN9OzZkwsXLuDl5ZWjY8bGxuLh4UFMTAzu7u45zi6EsABmE6QmQHoy3PtrTW8HRmewcwSdTpt8WXApMoGhSw5x/EYsAK8/U44xrStjb5DWGyH+K6vf3xbRkpOamsrBgwd59913M21v3bo1e/bseeBz1q9fT7169fjss8/46aefcHFxoVOnTnz44Yc4OT34L56UlBRSUlIyHsfGxubemxBC5D6zGeLDIeoi3LkE0VcgIQLiIyDhlvrf5BhIS1SLm8fR6cHeBYwu4OwFLkXBtRi4FAM3byhUBgqVVf/rmL9/+Kw/fINxa44Sn5KOl4uRL7rXpnnlYvmaQQhbYxFFTmRkJCaTCW9v70zbvb29CQ8Pf+BzLly4wK5du3B0dGTt2rVERkYyZMgQoqKiHjouZ+rUqUyaNCnX8wshnpCiQMxVuHkCbh6DiBPq/agLYEp5/PPvpbun5UMx//vf1Dj1Fv/g3y0ZnAtDkUrgXR2KVQPvGlCsao6Kn1PhsWw+Fk5sUjruTnY8V6M4VYqrr5OcZmLShhMs/fsKAPXLeDGzV12Kezhm+zhCiMwsosi5S3dPM7KiKPdtu8tsNqPT6Vi8eDEeHh4AfPnll3Tt2pU5c+Y8sDVn7NixjB49OuNxbGwsvr6+ufgOhBBZkhIPN0Lg2t9wdT9c2w+JkQ/eV2cAT1+1dcWzNLgW/6f15Z9WGEdPtWXG6PrwLimzSW3tSU345xYPCZH/tgYlREDsDbhzWW0xSoyExNtwZa96+zcMFK0CpeqBb30oVV8thPQP7k66FJnA6BWhHLoSjUGvQ68DswJf/XaWAL9CjGxRkSlBJzkVHodOB8OaV2Bki4rYSfeUELnCIoqcIkWKYDAY7mu1iYiIuK915y4fHx9KliyZUeCAOoZHURSuXbtGxYoV73uOg4MDDg4OuRteCPF4pjS4fhAu7FBv1/aD+Z6LBPT2/7aceFeDYtWhSEXw8AXDE/6q0hvAwU29ZUVyrFrs3DqltizdPAE3j0PcDbh1Ur2F/KTu61wYyj4D5Zqpt0J+gFrgPD9nN/Ep6vs0mRVM/znEoSt36Df/bwCKuBqZ3qMOgRWLPtn7FEJkYhFFjtFoJCAggG3btvHCCy9kbN+2bRvPP//8A5/TpEkTVq5cSXx8PK6urgCcOXMGvV5PqVKl8iW3EOIREm7D2S1wapNa2KTGZ/65e0ko9dS/LSI+tcDOQv4IcXRX8/jUArr/uz0+Qi3Qru1XW6BuHFJbfI6vUW+gjump3JYfTpUmKaUUJvODW2Xujo12c7AjaEQgxdyle0qI3GYxV1ctX76cvn378vXXX9OoUSO+/fZbvvvuO44fP46fnx9jx47l+vXrLFq0CID4+HiqVq1Kw4YNmTRpEpGRkQwcOJBnnnmG7777LkvHlKurhMhlMdfhxDq1sLmy99+xMHBPi8czaveTtTOlwbUDahF3ced9LVR3FFf+MNdls+kpdpprk4r9A19m86jAjDE6QojHs6qrqwB69OjB7du3mTx5MmFhYdSoUYOgoCD8/NSm37CwMK5cuZKxv6urK9u2bWP48OHUq1ePwoUL0717dz766COt3oIQBVNiFJxcD0dXwaVdwH/+bipeEyq3h8ptoXith45dsVoGe/BrpN6aj4WUOLiwk+Pbl+Jzcwdeuni6GILpYggmRnEmyNSA9ebG/GWuivmfuVgNeh1bjt2UIkeIPGAxLTlakJYcIXLIbILzf8DBhXBmC5jT/v1Z6UZQrTNUaacOFC6AJm84wZJ956llPk1rwwHaG/7CRxeV8fNwpRCrTYEsMzUnXF+cvg3L8EHHahomFsK6WF1LjhDCCsRcg5Cf1VvM1X+3e9eAml2hRlf1SqgCzt3JjjTFwN9KVf5Or8qU9D7U15+ik3437Q1/UVx3h6F26xlqt57d5hrExPeB9PKWMyZJCBshLTnSkiPEoymKOr5m31x1rM3dcTaOnlC7F/j3Va+IEhlOhsXQdsauB/7MSBrP6kPoZfiDQP1R9Lp/fgW7FIV6A+CpAeql8UKIh8rq97cUOVLkCPFg6alwfK1a3ISF/rvdrykEvAxVO4G9XBF0r7jkNMauOcrGI2GP3be0PpIRhfbSVb8D4v7Z32BUW8QavvHP1V1CiHtJd5UQImdSE9SxNntm/fvFa+cItXpAg8HqHDbigY5dj2HYkkNcup2IQa/DXq8j1WTG/IA/JQ16HTEOPtR75QsoZFQHb++bp16hdXiJeivXDALHQJmmFr3mlhCWSlpypCVHCFVSNOz/Tv2iTbytbnMtDvUHQsAr4FJE03iWTFEUFu29zMebTpJqMlPS04lZvevi5WxkzMrDHLh8J9OMxyazQj2/QkzrVpsyRVwyv9jV/fDXPDi+DpR/pg/0baAWOxVbSbEjBNJdlSVS5AiBOrvv3jlqt1TKP4vWFioDTd9Ux9zIYNhHiklK493VR/j1mDpje6tq3nzetRaezsaMfU6Fx7Ll2E1iktLwcLLnuRrFqVz8MbMv37kMu2eog7zvrt/lUxuaj4eKraXYEQWaFDlZIEWOKNDSkuDv72DXdEj65/LmolUg8C2o/uKTL6VQABy+Gs2wpYe4GpWEvUHH2LZVeaVJmYeuuZcjceFq1+GBBZCWoG7zbQAtPlC7sYQogKTIyQIpckSBZEqHQz/Cn5//O+amcEVoPk6d38bWJuzLA4qiMH/3JT759SRpJgVfLydm9/Kntq9n3h004Tbs/gr+/hbSk9Vt5ZpDywlQom7eHVcICyRFThZIkSMKFEWBs9tg63sQeVrd5lEamr2rDiqWlpssiU5MZczKI/x28iYAbWsU55MutfBwevCSDbkuNkwtUA/9+O8SErV7qS077iXyJ4MQGpMiJwukyBEFxs3jsGU8XNiuPnYuDM+8AwH9ZcxNNhy8fIcRS0O4Hp2E0aDnvQ5V6dvQL3e7p7Iq6iJsnwJHV6iP7ZygyUhoMgKMLo9+rhBWToqcLJAiR9i8xCj44yM4uECdxM9gVC8DD3wLnDy1Tmc1zGaF74Iv8PmW06SbFcoUdmZ2b39qlPTQOhpcP6gWsFf2qo/dfKD1R1CjiwxOFjZL0yLn4MGDBAQE5PbL5jopcoTNMpvVeVa2ffDv5eDVOkPLieBVVstkVicqIZW3VoSy/fQtADrWLsGUF2rg5phP3VNZoSjqPDvbPoA7l9RtZQKh3TQoVkXTaELkBU2LnNKlS2daMdxSSZEjbFLYEdj0Flz7W31ctCq0nyZX4uTA3xejGLE0hPDYZBzs9EzoWJ1e9X216Z7KivQU2DMT/pymDk7W20GjofD0/8DBVet0QuSaPJ/xuHv37g/crigKUVFRD/yZECIPpSbCjinqnDeKGYyu6qDiBoPBYEGtDlbAbFaYt/M8X2w9jVmBckVdmNPbn6o+Fv7HkJ0DPP021OwOm9+F00HqXDtHV0OH6VCptdYJhchXOW7J8fLy4qeffsLVNfNfB4qi0KNHD27evJkrAfOStOQIm3FhJ2wY8W9XRbXO8NxUudomByLjU3hzeSjBZyMBeLFuST7sXAMXByu8+uz0Zvj1bYj+p2W9Zjd47hOZvVpYvTxvyWnWrBmurq4888wz9/2sbl2Zs0GIfJF0B7a+DyE/qY/dS0L7L6Hyc9rmslJ7zkcyclkot+JScLTXM/n5GnQLKGW53VOPU/k5KBuoXoW1by4cXQnn/1ALnZrdZGCysHlydZW05AhrdXYbrB/+74R+Tw2EFhPAUT7L2WUyK8z64ywzfz+LWYGKxVyZ28efit6PWXrBmlw7qH5eIo6rjyu3g44zwLWYtrmEyAG5hDwLpMgRViklTp3Q7+BC9XHhCtBpNvg10jSWtYqITWbkslD2XlCvQuterxSTOtXAyWjQOFkeSE9Vx+js/BTMaep8SR2mQ7XntU4mRLZIkZMFUuQIq3NpN6x7A6Ivq48bDFZbb4zO2uayUn+eucWby0O5nZCKs9HAxy/U4IW6pbSOlffCj8Ha1+HmMfVxzW7Q7nNwKqRtLiGyKN+LHEVRrK7fWoocYTVMabD9Y9j1FaCAhy90ngtln9Y6mVVKN5mZ/tsZ5u44j6JAleJuzO7tT4ViBegy6/RU2PmJukCrYga3EvDiN/KZElYhq9/fubYSnzVM/ieEVYq6AD+0Vr+MUKDOS/DGHvkyyqGwmCR6f/cXc7arBU7vBqVZN7RJwSpwAOyM6npXA7aBV3mIuwE/doLfJ6tFtRA2INeKnALc6yVE3jm8DL4OhBuHwNEDuv0InefI4OIc2n4qgnYzgvn7UhQuRgMze9Vlygs1cbS3wfE3WVWqHrz+J9TtCygQ/AXMf05dG0sIK/dEEz8sWrQIUAucO3fuZDwG6Nev35MlE6IgS4mHTaPhyHL1sV8TePFb8CgA40XyQJrJzLQtp/nmzwsA1Cjpzuxe/pQpIgtZAupsyM/PhvLPwoZRcP2AWlx3mqGugSWElXqiIue/rTd370uLjhBPKOIkrOgHkWdAZ1BnLQ58C/QFuLXhCVyPTmL4kkMcuhINwMuN/BjXvioOdnI+71PjRbVlZ/UguLoPVr0Kl/dAmymyWr2wSrk28Njf359Dhw7lxkvlGxl4LCzO4WWw8U1IS1RXk+66QC4NfwLbTtxkzMrDxCSl4eZox2ddatG2po/WsSyfKV1dIiT4C/VxibrQbSEUKqNlKiEy5PmMx/eSFhwhnkBaMvz6Pzj0o/q4XDN48XtwLappLGuVmm7mk19PMX+3Oq6kdikPZvf2x9dLLrXPEoOdOii5dCNYMwhuhMA3T0Pnr6FKO63TCZFludaSYzab0etzbRxzvpCWHGERoq/C8pcgLBTQqd1TT78t3VM5dDUqkWFLDnH4WgwAA5qW5Z3nqmC0s67fTxYj+iqsegWu7VcfP/02NBsrn0+hKZkMMAukyBGau/gnrOwPibfByQu6/qAO/hQ5svlYGG+vOkJccjoeTvZM61abVtW8tY5l/dJTYdsH8Nc89XHF1vDid+DkqWksUXDl+zw5QohsUBTYOwcWdVYLnOK14PWdUuDkUHKaiQm/HGPwz4eIS07Hv7QnQSMDpcDJLXZGaPsJvPAt2DnC2a3wXXO4eULrZEI80hOPyTl16hQbNmzA09OT6tWrU6NGDWkVEeJR0pJg/Qg4ukJ9XKsndPwK7J00jWWtLkUmMHTJIY7fiAXg9WfKMaZ1ZewN8jdcrqvdA4pWhuV91Ukqv28JL8yTta+ExXri7qqyZcsycOBAjEYjx44d4+jRoyQkJHD69OncyphnpLtK5Lu4cFjWG64fVC8PbzMFGrwOVrYkiqXYcPgGY9ccJT4lnULO9nzZvQ7Nq8iq2nku4bY6TufiTvVx8/HqWB35HIt8km9jcho1asTevXszbTOZTBgMlj8oTYocka9uhKoFTux1cPSEHj/J0gw5lJxmYvLGEyz56woA9ct4MaNXHXw8pDUs35jSYet7/47TqdEFnp8jLZIiX+TbmJw2bdrw008/ZdpmDQWOEPnqxC/qVPmx16FIJRj0hxQ4OXT+Vjyd5+xmyV9X0OlgWPMKLBnUQAqc/GawU8fpdPgK9HZwbDUsaKe2VgphIZ64Jaddu3YcO3YMo9FI/fr1qVmzJjVr1qRDhw65lTHPSEuOyHPKP2sB/fGh+rh8C+g6X65KyaG1IdcYv/YYiakmirgamd6jDoEVZS4hzV38U52lO+mOupp57+XgU0vrVMKG5fsl5LGxsRw7doxjx45x4sQJvvrqq9x42TwlRY7IU6Y0dfbikH9aOhsMhtYfq38Bi2xJSjUxYf0xVhy4BkCjcoWZ0bMOxdwdNU4mMtw+D0t7qsuRGF3VxWQrttQ6lbBRuV7krF69mi5dbGuhNilyRJ5JjlX/sr2wHXR6aPsZ1B+kdSqrdOZmHEMXH+JsRDw6HYxsUZHhz1bEoJdBrhYnKVqd2PJSsDqwvv0XUO8VrVMJG5TrY3J69+7N9OnTH7lPAZ5XUIh/xVxTx99c2A72ztBziRQ4OaAoCisOXKXT7F2cjYinqJsDiwc2YFTLSlLgWConT3hpjTotgmKCjaPgt4lgNmscTBRUWS5y1q9fz8SJExkxYsR9xYzJZGLhwoVUrVo11wMKYVVuHlfnDok4Dq7e8EoQVG6rdSqrk5CSzlsrDvO/VUdITjMTWLEIQSMCaVy+iNbRxOPYGeGFr+GZd9XHu6bDmoGQnqJtLlEgZXlwQJs2bfjzzz/p0KEDV69eZcmSJRgMBn744Qc+++wzYmJiGD58eF5mFcKyXdoFS3tDSgwUrQJ9VoJnaa1TWZ2TYbEMW3KI87cS0OvgrdaVeeOZ8uil9cZ66HTQfCwU8oP1w9UrrxJvQ4+fwcFN63SiAMn2wOPr16/Trp26Cm1kZCRpaWmMGjWK4cOH4+ZmXR9eGZMjcs2J9bB6IJhS1JWbey0Fp0Jap7IqiqKw9O+rTNpwnJR0M8XdHZnRsw4NyhXWOpp4Eud+g+X9IC0BfGpDn1XgKhM2iieT1e/vbF3mERMTw/z587l+/TqJiYnodDr27dtHzZo1nziwEFZr//ewaQygQOX26iKbMiFatsQlpzFu7TE2HL4BQPPKRfmiex28XIwaJxNPrEJL6L8BFneHsMPwQyt13E7h8lonEwVAlsfkjB07Fj8/PxYuXMiUKVO4desW3bp1o2XLluzfvz8vMwphmRQFdnwCm94CFAjoD90XSYGTTceux9Bx1i42HL6BnV7H2LZV+OHlp6TAsSUlA2DAVvD0gzuXYH4bteARIo9luchZt24dM2fO5MyZM7z22mu4uLiwcOFCXnvtNZo3b84vv/ySlzmFsCxmM2weCzumqo+feUed+VXmwMkyRVFYtPcSL87dw6XbiZT0dGL56414Xcbf2KbC5WHANiheExJuwcKOcGWf1qmEjcvymBxFUdA9ZPG177//nmHDhjFt2jSGDRuWqwHzkozJETliSocNIyB0sfq47efQ4DVtM1mZmKQ0xq45QtBRdQmAllW9mdatFp7O0npj85JjYElPuLIH7Jyg589ql5YQ2ZDvMx7/+uuv9OjRg9jY2Nx4uXwhRY7ItvQUWD0ATm5QJzt7fg7U6aV1Kqty+Go0w5Ye4mpUEvYGHe+2rcqrTco89I8oYYNSE9XJMs9tA709dPkeqnfWOpWwInky8PhR2rZty44dO3Lr5YSwPKkJ6myu5/8AgxG6LoCqlr9Gm6VQFIX5uy/xya8nSTMp+Ho5MbuXP7V9PbWOJvKb8Z9JMte+BsfXwqpXIDUe6r6kdTJhY3J1AIG/v39uvpwQliMlDpb0gMu7wd4Fei6G8s21TmU1ohNTGbPyCL+dvAlA2xrF+aRLLTyc7DVOJjRjZ4QuP6jz5hxaBL8MhfRkeGqg1smEDZFRkkI8TlI0LO4K1/aDgzu8tBp862udymocvHyHEUtDuB6dhNGg570OVenb0E+6pwToDdBxprqg57656pWK6SnQaKjWyYSNkCJHiEdJjIKfXoCwUHD0hL5roaS0WGaF2azwXfAFPt9ymnSzgl9hZ+b09qdGSQ+towlLotNBmylg56AuAbFlnNqiE/iW1smEDZAiR4iHib8FP3WGm8fAuQj0W6de/ioeKyohlbdWhLL99C0AOtTyYeqLNXFzlO4p8QA6HbSYoF5ttWMK/D5ZbdFpNlb9mRA5JEWOEA8Sfwt+7AC3TqkLbfZbD8WqaJ3KKvx9MYoRS0MIj03GaKdnYsfq9KrvK91T4tF0Omj2jjpW57eJsPNTMKfDs+9LoSNyTIocIe713wLHrQS8vAGKVNA6lcUzmxXm7TzPl9vOYDIrlCviwpw+/lT1kekZRDY0fRMMDrBlLAR/Aejg2fek0BE5IkWOEP91b4HTf6OssZMFkfEpvLk8lOCzkQC8ULckH3WugYuD/IoROdBoiFrUbH4Xgqep26TQETkgv4GEuEsKnBzZe/42I5eFEBGXgqO9nsmdatCtXinpnhJPpuEb6n+l0BFPQIocIUAKnBwwmRVm/XGWmb+fxaxAxWKuzOnjTyVvN62jCVshhY54QlLkCJEYBYuelwInGyLikhm1LJQ9528D0C2gFJOer46zUX6liFx2b6Fj5wDP/E/bTMJqZHkV8vwwd+5cypYti6OjIwEBAQQHB2fpebt378bOzo46derkbUBhe5Ki1XlwIo6rV1FJgfNYu85G0m5GMHvO38bZaOCLbrX5vFttKXBE3mn4BrT+WL2//WPY9ZWmcYT1sJgiZ/ny5YwaNYrx48cTEhJCYGAgbdu25cqVK498XkxMDP369aNFixb5lFTYjJQ4dSbjsNB/5sFZLwXOI6SbzEzbcpq+8/8iMj6VKsXdWD+sKV0CSmkdTRQEjYdBiw/U+79NgH1fa5tHWIVcW4X8STVo0AB/f3/mzZuXsa1q1ap07tyZqVOnPvR5PXv2pGLFihgMBtatW0doaGiWjymrkBdgqQnwc1e4sgecCsHLG6F4Da1TWazwmGRGLA3h70tRAPSqX5oJHavhaG/QOJkocLZPUefQAegwHeq9qm0eoYmsfn9bREtOamoqBw8epHXr1pm2t27dmj179jz0eQsWLOD8+fNMmDAhS8dJSUkhNjY2000UQGnJsKy3WuA4uKtLNUiB81DbT0fQbmYwf1+KwsVoYGavukx9saYUOEIbzcZCk5Hq/Y1vQugSbfMIi2YRneiRkZGYTCa8vb0zbff29iY8PPyBzzl79izvvvsuwcHB2Nll7W1MnTqVSZMmPXFeYcVMabDqVbiwQ10U8KXVUKKu1qksUprJzLStp/lm5wUAqpdwZ3Zvf8oWcdE4mSjQdDpoOUld9uGvr9XVy42uUK2T1smEBbKIlpy77p1XQ1GUB861YTKZ6N27N5MmTaJSpUpZfv2xY8cSExOTcbt69eoTZxZWxGyGdUPg9CZ1RtVey2Q18Ye4Hp1Ez2/3ZRQ4/Rr5sfqNxlLgCMug08Fzn0Ddl0Axq3+4nPtN61TCAllES06RIkUwGAz3tdpERETc17oDEBcXx4EDBwgJCWHYsGEAmM1mFEXBzs6OrVu38uyzz973PAcHBxwcHPLmTQjLpigQ9BYcXQF6O+i+CMoGap3KIv124iZvrTxMTFIabo52fNalFm1r+mgdS4jMdDroOBNS4uHEOlj2ktr17NdI62TCglhES47RaCQgIIBt27Zl2r5t2zYaN2583/7u7u4cPXqU0NDQjNvgwYOpXLkyoaGhNGjQIL+iC2vx20Q4MB/QwQvfQOXntE5kcVLTzXy08QQDFx0gJimN2qU82DQ8UAocYbn0BnjxO6jQCtKTYEl3uBGqdSphQSyiJQdg9OjR9O3bl3r16tGoUSO+/fZbrly5wuDBgwG1q+n69essWrQIvV5PjRqZB4oWK1YMR0fH+7YLwa7psPsr9X7Hr6BmVy3TWKSrUYkMWxrC4avRALzapCzvtq2C0c4i/g4S4uHsjGrL7OKucHk3/PwivLoFilTUOpmwABZT5PTo0YPbt28zefJkwsLCqFGjBkFBQfj5+QEQFhb22DlzhLjPoUVqKw5A648goL+WaSzS5mNhvL3qCHHJ6Xg42TOtW21aVbu/m1gIi2V0VsfYLeoEN0LUCT5f3QIeJbVOJjRmMfPkaEHmybFxJzfAin7qwMSmb0LLiVonsigp6SambDrJj3svA1C3tCezetWlVCFnjZMJkUMJkTD/Obh9FopWgVd+BWcvrVOJPGBV8+QIkesuBsOqAWqBU7cvtMjaXEoFxaXIBLrM25NR4Lz+TDlWvN5IChxh3VyKqIOP3Uqoa9Et6a5O/CkKLClyhO25EQpLe4EpBap0gA5fyarF/7HxyA06zNrFseuxFHK2Z0H/pxjbtir2Bvl1IGyAp69a6Dh6wrX9sLwvpKdqnUpoRH6rCdsSdUEdgJgaB35NocsPYLCYoWeaSk4zMX7tUYYtCSE+JZ2nyhQiaGQgzasU0zqaELmrWBXoswrsneH87/DLEHWeLFHgSJEjbEf8LfjpRUi4BcVrQq8lYO+odSqLcP5WPJ3n7GbxX1fQ6WBo8/IsHdQQHw8nraMJkTd8n4IeP6nzYh1dCb99oHUioQEpcoRtSImHJd3gzkXwLA19VoOjh9apLMK6kOt0nLWLU+FxFHYx8uMr9Xm7TRXspHtK2LoKLeH5Oer9PbNg71xt84h8J+34wvqZ0mDly+qlo05e8NJacJNLoJNSTUxcf5zlB9TlSxqW82Jmz7oUc5fWLVGA1O4JcWHqVBJbxqq/G2p00TqVyCdS5AjrpiiwfoS6bo2dE/RZCUUqaJ1Kc2dvxjF0ySHO3IxHp4MRz1ZkRIuKGPQyAFsUQE1GQewN+PtbWDsYnItAuWe0TiXygbRXC+v2x0dweAnoDNBtIZSqp3Uiza08cJVOs3dz5mY8Rd0cWDygAW+2qiQFjii47i7oWe15MKXC8pcg/JjWqUQ+kCJHWK+DCyF4mnq/w/QCvx5VQko6o1eE8vaqIySlmWhaoQhBIwJpXKGI1tGE0J7eAC98C35NICUWFneDmOtapxJ5TIocYZ3OboONo9X7T/8PAl7WNo/GToXH0mn2LtYcuo5eB2+1qsSPr9anqJuD1tGEsBz2jtDjZyhSCeJuqJMFJsdqnUrkISlyhPUJOwwr+4Niglo9ofk4rRNpRlEUlv59hedn7+b8rQS83R1YOqghw2X8jRAP5uyljt1zKQY3j6kXLZjStE4l8ogUOcK6RF+Fxd0hNR7KPg2dZhXY2YzjU9IZuSyUsWuOkpJu5plKRQkaEUiDcoW1jiaEZStUBnov/2eywD9g4yj1IgZhc6TIEdYjOUZtXo4Ph2LV1GZnO6PWqTRx7HoMHWYGs/7wDQx6He88V4UF/Z+isKt0TwmRJSX9oesC0Okh5Gf4c5rWiUQekCJHWAdTGqx4GSJOgGtxtbm5AE72pygKP+29xItz93DpdiIlPBxZ8XpD3mhWHr10TwmRPZWfg3afq/e3fwRHV2mbR+Q6mSdHWD5FgaAxcGG72rzcezl4lNI6Vb6LTU5j7OqjbDoaBkDLqsX4vGttCrkUzNYsIXLFUwMh6iLsnQ3r3lB/t5RuqHUqkUukJUdYvj2z1MvF0akLbpaoo3Gg/HfkWjTtZwaz6WgYdnod77Wvynf96kmBI0RuaDUZqnRQ59BZ1ltd6FfYBClyhGU7uQG2/bOwXpspUKWdtnnymaIozN91kS7z9nA1KolShZxY9UZjBgaWQ1dAB1wLkev0BnjxW/CpA4m31Ysbku5onUrkAilyhOW6fghWDwIUtUm54RtaJ8pXMYlpvP7TQSZvPEGaSaFNdW82jQikjq+n1tGEsD1GF7Ur3L0U3D4Ly/tCeqrWqcQTkiJHWKaY67C0F6QnQYVW8NynBepS8UNX7tBuZjBbT9zEaNAzqVN1vn4pAA8ne62jCWG73IqrhY7RDS4Fw6bRcmm5lZMiR1ie1ARY2vPfS8W7zgdDwRgjbzYrfPvnebp/vZfr0Un4FXZm9RuNeblxGemeEiI/FK8B3e5eWv4T7J2jdSLxBKTIEZbFbIa1r0P4EXWl4F7LwNFd61T5IiohlYGLDjAl6BTpZoX2tXzYMLwpNUsVvEvlhdBUxVbQ+mP1/tb34PRmbfOIHJMiR1iW7R+pg40NRui5GAr5aZ0oX+y/FEW7GcH8cSoCo52ej1+owexedXF3lO4pITTR8A0I6A8osHoA3DyudSKRA1LkCMtxeDkEf6He7zSrQMxVYTYrzNl+jp7f7iM8NplyRVxYN6QJfRr4SfeUEFrS6aDdNHX5mNR4WNIT4m9pnUpkkxQ5wjJc/RvWD1PvNx0NtXtqmycfRMan0H/hfj7fchqTWaFznRKsH96UaiUKRvecEBbPYA/dfgSv8hBzBZb3gfQUrVOJbJAiR2gv5jos66NOxFWlAzz7vtaJ8ty+C7dpNyOYP8/cwtFez2ddajG9Rx1cHQrGAGshrIazF/ReoS4jc/Uv2ChXXFkTKXKEtlITYVkvSIgA7xrwwjegt92PpcmsMPP3s/T+bh8RcSlUKObK+mFN6f6Ur3RPCWGpilT4dzHP0J9h3zytE4ksst1vE2H5FAV+GQphh8G5MPRcAg6uWqfKMxFxyfSb/xdfbjuDWYFuAaVYP6wJlbzdtI4mhHicCi3+c8XVeDj3u7Z5RJZIkSO0EzwNjq8BvR10/8mmr6TafS6SdjN2sfvcbZzsDXzZvTafd6uNs1G6p4SwGg3fgDovgWKGVa9A5DmtE4nHkCJHaOPUJvjjI/V+u2lQpom2efJIusnMl1tP89IPfxEZn0Jlbzc2DG/Ki/4FbxV1IayeTgcdvgTfBpAcA0t7QFK01qnEI0iRI/JfxElY85p6v/5rUO8VbfPkkfCYZHp//xcz/ziHokCv+r78MqwJFYrZbpecEDbPzgF6/AzuJeH2OVg9EMwmrVOJh5AiR+SvpDvqmlSp8VAmUF1Z3AbtOB1Bu5nB/H0xChejgRk96zD1xVo42hu0jiaEeFKuxdQxhHaOcG7bv63SwuJIkSPyj9kEq16FOxfBo7Q6/4TBtmb0TTOZ+XTzKfov2E9UQirVfNzZMLwpz9cpqXU0IURuKlEHOs1W7+/6Eo6t0TSOeDAZ9Sjyz28T4fwfYOekLtngUljrRLnqRnQSw5eGcPDyHQD6NvRjfPuq0nojhK2q1Q3CD8OeWeqVokUqQvGaWqcS/yEtOSJ/HFkJe2aq9zvPAZ9a2ubJZb+duEm7mcEcvHwHNwc75vT258PONaTAEcLWtZwE5Z+FtERY2hsSbmudSPyHFDki74Ud/s+SDW9CjS7a5slFqelmPtp4goGLDhCdmEbNkh5sHNGU9rV8tI4mhMgPegN0nQ+FyqpLP6x8GUzpWqcS/5AiR+SthNuw7CVIT4YKrWxqyYarUYl0/2Yv3++6CMArTcqw6o1G+BV20TiZECJfORWCXkvB6AqXguG3CVonEv+QIkfkHVO6OmFWzBX1r5wu36l/9diAzcfCaT8zmNCr0bg72vFN3wAmdKyOg51tvD8hRDYVqwqd56r3986Go6u0zSMAKXJEXvp9ElzcCfYu6uWWToW0TvTEUtJNTFx/nME/HyQ2OZ26pT0JGhlIm+rFtY4mhNBateeh6Wj1/i/DIPyotnmEFDkijxxbk3mgsXc1bfPkgsu3E+g6by8L91wC4LWny7Hi9UaUKuSsbTAhhOV49j0o3wLSk2BZH0iM0jpRgSZFjsh9N4+rl1MCNBkJ1V/QNk8u2HjkBu1n7uLo9RgKOdszv389xrWrir1B/gkJIf5Db4Au30OhMhB9WWZE1pj8hha5Kykalr+kXk5Zrjm0sO4BeMlpJsavPcqwJSHEp6RTz68QQSMDebaKt9bRhBCWytkLeiwGe2c4/zts/1jrRAWWFDki95jNsHYwRF1QZzTuOt+qBxpfuBXPC3P3sPivKwAMaVaeZa81xMfDSeNkQgiLV7wGdJql3g/+Ql2UWOQ7KXJE7gn+As78CgYH6PGT+teMlfol9DodZu3iZFgshV2M/Phqff73XBXspHtKCJFVNbtCwyHq/bWDIfKctnkKIPmNLXLHud/+bZLt8KW6rosVSko18c6qI4xcFkpiqokGZb0IGhnIM5WKah1NCGGNWk2G0o0gJVbtyk9N0DpRgSJFjnhyd/4ZXIcCAf2h7ktaJ8qRcxFxdJ6zm+UHrqLTwYgWFVkyqCHe7o5aRxNCWCuDPXRbCK7ecOskrB8OiqJ1qgJDihzxZNKS1L9Oku5ACX9o+5nWiXJk1cFrdJy1m9M34yji6sDiAQ0Y3aoSBr1O62hCCGvnVhy6/Qh6Ozi2GvbN0zpRgSFFjngyQWMg/Ag4F4bui8DOQetE2ZKYms5bKw4zZuVhktJMNK1QhF9HBtK4QhGtowkhbIlfI2j9T5f+1vfg8l5t8xQQUuSInDu0CEJ+BnTQ5Qfw9NU6UbacDo+j46xdrD50Db0O3mpViR9frU9RN+sq1IQQVqLB6+oCxYoJVvaH+AitE9k8KXJEzoQdhk1j1PvPjofyzbXNkw2KorDs7yt0mr2L87cS8HZ3YMmghgxvUVG6p4QQeUeng44zoUhliA+HVa/KiuV5TIockX1Jd2BFPzClQMU20PQtrRNlWXxKOqOWh/LumqOkpJt5plJRgkYE0rBcYa2jCSEKAgdXdYoNexd1xfLtH2mdyKZJkSOyx2yGtW/AnUvgWRpe+Br01vExOn4jhk6zdvFL6A0Meh3vPFeFBf2forCrdE8JIfJR0crw/D8TBe6aLhMF5iHr+HYSlmP39H8m/DOqA42tYMI/RVH4ad9lXpi7hwuRCfh4OLL8tYa80aw8eumeEkJooUYXaDBYvb/2Dbh9Xts8NkqKHJF1F/+EP/5pWm33OZSoq22eLIhNTmPYkhDeX3eM1HQzLaoUI2hEIPXKWH5xJoSwca0+hFL1ISUGVr6sTskhcpUUOSJr4sJh1QBQzFC7F/i/rHWixzpyLZoOM3ex6WgYdnod49tV5fuX61HIxah1NCGEADujOlGgc2EIPwq/vqN1IpsjRY54PFO6WuAkRECxatD+S/UqAQulKAoLdl+ky7w9XIlKpKSnEysHN2LQ0+XQWXBuIUQB5FESunwP6ODQjxC6VOtENkWKHPF42z+Cy7vA6KqOwzE6a53ooWIS0xj880EmbThBmkmhdTVvgkYEUrd0Ia2jCSHEg5V/Fp75pxVn45tw84S2eWyIRRU5c+fOpWzZsjg6OhIQEEBwcPBD912zZg2tWrWiaNGiuLu706hRI7Zs2ZKPaQuI05vV0f8AnWZCkYra5nmEkCt3aDczmC3Hb2I06JnYsRrf9A3Aw9le62hCCPFoz/wPyjWD9CR1io6UOK0T2QSLKXKWL1/OqFGjGD9+PCEhIQQGBtK2bVuuXLnywP3//PNPWrVqRVBQEAcPHqR58+Z07NiRkJCQfE5uw6KvwNrX1ftPDVKvBrBAiqLw3Z8X6Pb1Xq5HJ1Hay5nVbzSmf5Oy0j0lhLAOegO8+D24+cDts7BhpCzkmQt0imIZZ7FBgwb4+/szb96/C5dVrVqVzp07M3Xq1Cy9RvXq1enRowcffPBBlvaPjY3Fw8ODmJgY3N3dc5TbZqWnwoLn4PpBdeHNVzdb5LpUdxJSGbPyML+fUqdHb1/Lh6kv1sTdUVpvhBBW6Mo+WNBOXfqh/Zfw1ACtE1mkrH5/W0RLTmpqKgcPHqR169aZtrdu3Zo9e/Zk6TXMZjNxcXF4eT380uCUlBRiY2Mz3cRD/DZBLXAcPdTR/xZY4By4FEW7mcH8fioCo52ejzrXYHavulLgCCGsV+mG0HKien/zWHUJHZFjFlHkREZGYjKZ8Pb2zrTd29ub8PDwLL3GF198QUJCAt27d3/oPlOnTsXDwyPj5utrXQtK5puTG2DfXPV+56+hkJ+2ee5hNivM3XGOHt/uIywmmbJFXFg7pDEvNfST7ikhhPVrPBwqtVWXzlnxMiTHaJ3IallEkXPXvV9QiqJk6Utr6dKlTJw4keXLl1OsWLGH7jd27FhiYmIyblevXn3izDYn6iKsG6rebzQMqrTTNs89bsen8MrC/Xy2+TQms8LzdUqwYXhTqpfw0DqaEELkDp0OOs8Fj9Jw5yKsHy7jc3LITusAAEWKFMFgMNzXahMREXFf6869li9fzoABA1i5ciUtW7Z85L4ODg44OFhet4vFSE+BVa+os2+Wqv9vk6mF+OvCbUYsC+FmbAoOdnomP1+d7vV8pfVGCGF7nL2g2wKY/xyc+AX2fw/1B2mdyupYREuO0WgkICCAbdu2Zdq+bds2Gjdu/NDnLV26lP79+7NkyRLat2+f1zFt39b34UYIOBVS/3EZLGNsi8msMOv3s/T6bh83Y1OoUMyV9cOa0uOp0lLgCCFsV6l60Gqyen/LOLh+SNs8VsgiWnIARo8eTd++falXrx6NGjXi22+/5cqVKwwerC5gNnbsWK5fv86iRYsAtcDp168fM2bMoGHDhhmtQE5OTnh4SNdFtp34Bf7+Rr3/wrfgUUrbPP+4FZfCqOUh7D53G4Au/qX4sHN1nI0W89EVQoi80/ANuLwbTm1UW9pf/1O9IERkicV8U/To0YPbt28zefJkwsLCqFGjBkFBQfj5qYNew8LCMs2Z880335Cens7QoUMZOnRoxvaXX36ZhQsX5nd86xZ1EX4Zrt5vMhIqtX70/vlkz7lIRiwLJTI+BSd7Ax92rkHXAMsovoQQIl/odPD8HAg/AncuqeNzuv1o0UvrWBKLmSdHCzJPDup8OPPbwI1D4NsA+m/SvJvKZFaY8ftZZv1xFkWByt5uzOlTlwrF3DTNJYQQmrl2UP1dbU6DdtMK/Pgcq5onR2jotwlqgePoCV1+0LzAuRmbTJ/v9zHzd7XA6fmUL+uGNpECRwhRsJUKgFaT1Ptbxsn8OVkkRU5Bdiro3/lwXvgaPLWdN2jnmVu0nRHMvgtRuBgNzOhZh0+61MLJaNA0lxBCWISGQ6ByOzClwsr+sr5VFkiRU1BFX4F1b6j3Gw2Dym01i5JuMvPp5lO8PP9vohJSqebjzobhTXm+TknNMgkhhMW5Oz7HvRREXYANo2T+nMeQIqcgMqXBqgGQHA0lA6DFBM2i3IhOoue3+5i34zwAfRv6sWZIY8oVddUskxBCWCxnL+g6H3QGOLYKDv2odSKLJkVOQfTHR3Dtb3DwUP+x2Bm1iXHqJu1mBnPg8h3cHOyY09ufDzvXwNFeuqeEEOKhSjeAFv8sRP3rO3DzhLZ5LJgUOQXNud9g91fq/ednQaEy+R4hzWTm400neHXhAaIT06hZ0oONI5rSvpZPvmcRQgir1HgElG8B6cnq/DmpiVonskhS5BQkceGw5nX1fr0BUO35fI9wNSqRbl/v5bvgiwD0b1yGVW80wq+wS75nEUIIq6XXwwvfgGtxuHUKfv2f1okskhQ5BYXZBGsGQWIkeNeANlPyPcKW4+G0nxlM6NVo3B3t+KZvABM7VcfBTrqnhBAi21yLwovfAjoI+QmOrNQ6kcWRIqegCP4CLv4J9s7QdQHYO+bboVPSTUzacJzXfzpIbHI6dXw92TQikDbVi+dbBiGEsEnlnoGn31bvbxwFt89rGsfSSJFTEFzeAzumqvfbfwFFK+Xboa/cTqTrvL0s2H0JgEGBZVnxeiN8vZzzLYMQQti0Z96B0o0hNV6dPyc9RetEFkOKHFuXGAWrB4Jihlo9oU7vfDt00NEw2s8M5uj1GDyd7fnh5XqMb18No5187IQQItcY7KDL9+Dkpa5x9dtErRNZDPm2sWWKAr8Mg9jr4FVebcXJB8lpJt5bd5Qhiw8Rl5JOPb9CBI0IpEVV73w5vhBCFDgeJaHzPzPY75sLpzdrm8dCSJFjy/7+Dk5vAoNRnQ/HIe8n2LsYmcCLc/fw8z51xfghzcqz9LWGlPB0yvNjCyFEgVa5LTT4Zyb7dW9A7A1t81gAKXJsVdgR2Dpevd/qQyhRJ88P+UvodTrMDOZEWCxeLkZ+fLU+/3uuCvYG+ZgJIUS+aDUJiteCpChY85p6ZW0BJt8+tig1AVa9qi7iVqktNHg9Tw+XnGZi7JojjFwWSkKqiQZlvfh1ZCDPVCqap8cVQghxDzuHf66gdYFLweqVtQWYFDm2KOh/cPssuJVQF3PT6fLsUOci4uk8ZzdL/76KTgcjWlRk8cAGeLvn3yXqQggh/qNIBejwpXp/x1S4vFfbPBqSIsfWHF0FoT+DTg9dvgOXwnl2qNUHr9Fx1i5OhcdRxNWBnwc0YHSrSthJ95QQQmirdk/1ilrFrF5hm3RH60SakG8jWxJ1ETaMUu8//TaUaZonh0lMTWfMysO8tfIwSWkmmlQoTNDIpjSpUCRPjieEECIH2k8Dr3IQew3WD1evuC1gpMixFaY0WD0AUuPAtyE8nTfrmJwOj6PjrF2sOngNvQ5Gt6rEolcbUMxNuqeEEMKiOLipV9bq7eHkBji4QOtE+U6KHFux/WO4fhAcPdRuKoNdrr68oigs+/sKnWbv4vytBLzdHVgyqCEjWlTEoM+7MT9CCCGeQIm60HKCen/zWIg4qW2efCZFji04vx12faXe7zQLPEvn6svHp6Qzanko7645Skq6macrFSVoRCANy+XdeB8hhBC5pOFQqNAS0pPVK2/TkrROlG+kyLF2CZGw9nVAgYBXoNrzufryJ27E0mnWLn4JvYFBr+N/z1VmYf+nKOzqkKvHEUIIkUf0eug8D1yKQcQJ2DJe60T5Rooca6YosG4IxN+EolWgzZRcfGmFn/ddpvPc3VyITMDHw5HlrzVkSLMK6KV7SgghrItrMXjha/X+gR/g5EZt8+QTKXKs2V/fwNktYHBQB5cZc2dl79jkNIYtDeG9dcdITTfTokoxgkYEUq+MV668vhBCCA1UaAGNh6v31w+DmOva5skHUuRYq/CjsO199X7rj8C7eq687NFrMXSctYtNR8Kw0+sY364q379cj0Iuxlx5fSGEEBp69gPwqaPOm7P2dZtf9kGKHGt077IN9Qc98UsqisLC3RfpMm8Pl28nUtLTiRWDGzHo6XLo8nDGZCGEEPnI7p8Fm+8u+7BrutaJ8pQUOdZo81iIPANuPrmybENMYhqDfz7IxA0nSDWZaV3Nm6ARgfiXLpRLgYUQQliMwuXViQIBtk+Bq39rmycPSZFjbY6vg0M/Ajp44ZsnXrYh9Go07WcFs+X4TewNOj7oUI1v+gbg4WyfK3GFEEJYoNq9oEZXUEzqRLLJMVonyhNS5FiTmGuwYaR6v+koKPdMjl9KURS+D75A13l7uHYnidJezqx+ozGvNi0r3VNCCGHrdDp1EU/P0hB9BTaOtsllH6TIsRZmE6x5DZKjoYQ/NM/5PAd3ElIZtOgAH206SbpZoV3N4mwc0ZRapTxzLa4QQggL5+gBXeaDzgDHVsGR5VonynVS5FiLXV/C5d1gdIUu34MhZ91JBy5F0X5mML+djMBo0PPh89WZ09sfd0fpnhJCiALH9yloNla9v+ktiLqgbZ5cJkWONbi6H7ZPVe+3m6YOGssms1lh7o5z9Ph2HzdikilbxIW1QxvTt1EZ6Z4SQoiCLHA0lG4MqfGweqC64LONkCLH0iXHqIPCFJM6SKx2z2y/xO34FF5ZuJ/PNp/GZFboVLsEG4Y3pXoJjzwILIQQwqroDfDit2r31fWD6hVXNkKKHEu3aQxEX1YHh3X4MtuXi++7cJt2M4PZeeYWDnZ6pr5Ykxk96+DqkLurlAshhLBinr7QcaZ6f9d0uPintnlyiRQ5luzwcji6AnR6ePF7tcrOIpNZYebvZ+n93T5uxqZQvqgLvwxrQq/6paV7SgghxP2qd4a6fQEF1rwOiVFaJ3piUuRYqqiL6iAwgGfegdINsvzUW3Ep9Jv/F19uO4NZgS7+pdgwvClVirvnUVghhBA2oe2nULgCxN2A9cOt/rJyKXIskSkN1gyC1Dgo3QgCx2T5qbvPRdJ2RjC7z93Gyd7AtG61+aJ7bZyN0j0lhBDiMYwu6hW8ens4tfGfyWetlxQ5lmjnZ3BtPzh4qIPBDI8vUExmhS+3neGlH/4iMj6Fyt5urB/WhK4BpfIhsBBCCJtRoi60+GcB6M1j4dYZbfM8ASlyLM3lPRD8z5oid2ejfIybscn0/m4fM38/i6JAz6d8WTe0CRW93fI4rBBCCJvUaDiUfQbSEtUrfNNTtE6UI1LkWJKkaHVWY8UMtXtDza6PfcrOM7doNyOYvy5G4WI0MKNnHT7pUgsnoyHv8wohhLBNer26PqKTF4QfgT8+1DpRjkiRYykUBTa+CTFXoVBZaPfZI3dPN5n5dPMpXp7/N7cTUqnq486G4U15vk7JfAoshBDCprn7wPOz1ft7ZsH57drmyQEpcizF4aVwfI26hkiXH8Dh4V1NN6KT6PntPubtOA/ASw1Ls3ZIY8oVdc2vtEIIIQqCKu2h3qvq/bWDIeG2tnmySYocS3D7PAS9rd5vPg5KBTx01z9O3aTdzGAOXL6Dq4Mds3vX5aPONXG0l+4pIYQQeaD1x1CkMsSHW91l5VLkaC3jcvF48GsKTd984G5pJjNTgk7y6sIDRCemUaOkO5tGNKVDrRL5HFgIIUSBYnT+Z2FoI5zeBAcXaJ0oy6TI0dqOT9S1Qhw94MVv1DVE7nHtTiLdvt7Lt3+qq8P2b1yG1W80xq+wS36nFUIIURD51IIWE9T7m8fBrdPa5skiKXK0dGk3BH+h3u84Azzun9Nm6/Fw2s0IJvRqNO6Odnz9UgATO1XHwU66p4QQQuSjhkOg/LOQnmQ1l5VLkaOVpGhY+zqgQJ2XoPoLmX6cmm5m8oYTvPbTQWKT06nt68mmEYE8V6O4JnGFEEIUcHo9dJ73z2XlR63isnIpcrRw7+XibT/J9OMrtxPp+vUe5u++CMDApmVZ+XojfL2ctUgrhBBCqNyKw/Nz1PtWcFm5FDlaOLxMvVxcb3ff5eJBR8NoPzOYI9di8HS25/t+9XivQzWMdvK/SgghhAWo0i7zZeUWvFq5fHPmt6gLEPTPgpvNxmZcLp6cZuKDX44xZPEh4lLSCfArRNCIQFpW89YwrBBCCPEArT+GIpUs/rJyKXLykykNVt+9XLxJxuXiFyMT6DJvD4v2XgbgjWblWfZaQ0p4OmmZVgghhHiwu5eV312t/OBCrRM9kBQ5+WnnZ3D9gLq6+Avq5eK/hF6nw8xgjt+IxcvFyMJXnuKd56pgb5D/NUIIISyYT21oefeycstcrVy+SfPLf1cX7zidZJcSjF1zhJHLQklINVG/rBdBIwJpVrmYtjmFEEKIrGo4FMo1Uy8rXzMQ0lO1TpSJFDn5ISka1ryesbr4uWJt6DxnN0v/vopOByOercCSgQ0o7uGodVIhhBAi6/R66Pw1OBWCsMMWd1m5FDn5IWgMxFyBQmX4xWckHWft4lR4HEVcHfjp1QaMbl0ZO+meEkIIYY3cfaDTf1Yrv7BT2zz/Id+see3wcji6EkVnYKbnO4xcd56kNBONyxcmaGRTmlYsonVCIYQQ4slU7QAB/QHFoi4rt6giZ+7cuZQtWxZHR0cCAgIIDg5+5P47d+4kICAAR0dHypUrx9dff51PSbPoziXY9BYAPxp78OVJD/Q6GN2qEj8NaEAxN+meEkIIYSPaTIHCFSDuBmwYaRGXlVtMkbN8+XJGjRrF+PHjCQkJITAwkLZt23LlypUH7n/x4kXatWtHYGAgISEhjBs3jhEjRrB69ep8Tv4QpnSUNa9BahwHlcp8GNOWYm4OLB7YkBEtKmLQ67ROKIQQQuQeo8s/l5Xbwcn1EPKz1onQKYoFlFpAgwYN8Pf3Z968eRnbqlatSufOnZk6dep9+7/zzjusX7+ekydPZmwbPHgwhw8fZu/evVk6ZmxsLB4eHsTExODu7v7kb+I/Un6bgsOuT4lVnGiX+gllK1Rleo86FHF1yNXjCCGEEBZl13T4bSLYu8DgYChcPtcPkdXvb4toyUlNTeXgwYO0bt060/bWrVuzZ8+eBz5n79699+3fpk0bDhw4QFpaWp5lzYqLh/7AbtfnAEwwvUrvNk358ZX6UuAIIYSwfY1HQJlASEtQVys3afedbBFFTmRkJCaTCW/vzEsYeHt7Ex4e/sDnhIeHP3D/9PR0IiMjH/iclJQUYmNjM91yW3paKnYbhmLAzBZ9IL0HjmFIswropXtKCCFEQaA3wAtfg6Mn3AiBvbO1i6LZkR9Ap8tcCCiKct+2x+3/oO13TZ06FQ8Pj4ybr6/vEya+n529kdi2sznh6E/9YQt5qoxXrh9DCCGEsGgepaDjDKjdC+oN0CyGRRQ5RYoUwWAw3NdqExERcV9rzV3Fixd/4P52dnYULlz4gc8ZO3YsMTExGberV6/mzhu4R/X6Laj27nYKecnl4UIIIQqo6p3/adHJ3TGv2WERRY7RaCQgIIBt27Zl2r5t2zYaN278wOc0atTovv23bt1KvXr1sLe3f+BzHBwccHd3z3QTQgghhG2yiCIHYPTo0Xz//ffMnz+fkydP8uabb3LlyhUGDx4MqK0w/fr1y9h/8ODBXL58mdGjR3Py5Enmz5/PDz/8wJgxY7R6C0IIIYSwIHZaB7irR48e3L59m8mTJxMWFkaNGjUICgrCz88PgLCwsExz5pQtW5agoCDefPNN5syZQ4kSJZg5cyZdunTR6i0IIYQQwoJYzDw5WsjLeXKEEEIIkTesap4cIYQQQojcJkWOEEIIIWySFDlCCCGEsElS5AghhBDCJkmRI4QQQgibJEWOEEIIIWySFDlCCCGEsElS5AghhBDCJkmRI4QQQgibZDHLOmjh7mTPsbGxGicRQgghRFbd/d5+3KINBbrIiYuLA8DX11fjJEIIIYTIrri4ODw8PB768wK9dpXZbObGjRu4ubmh0+ly7XVjY2Px9fXl6tWrsiZWHpNznT/kPOcPOc/5Q85z/sjL86woCnFxcZQoUQK9/uEjbwp0S45er6dUqVJ59vru7u7yDyifyLnOH3Ke84ec5/wh5zl/5NV5flQLzl0y8FgIIYQQNkmKHCGEEELYJCly8oCDgwMTJkzAwcFB6yg2T851/pDznD/kPOcPOc/5wxLOc4EeeCyEEEII2yUtOUIIIYSwSVLkCCGEEMImSZEjhBBCCJskRY4QQgghbJIUOTk0d+5cypYti6OjIwEBAQQHBz9y/507dxIQEICjoyPlypXj66+/zqek1i0753nNmjW0atWKokWL4u7uTqNGjdiyZUs+prVu2f1M37V7927s7OyoU6dO3ga0Edk9zykpKYwfPx4/Pz8cHBwoX7488+fPz6e01iu753nx4sXUrl0bZ2dnfHx8eOWVV7h9+3Y+pbVOf/75Jx07dqREiRLodDrWrVv32Ofk+3ehIrJt2bJlir29vfLdd98pJ06cUEaOHKm4uLgoly9ffuD+Fy5cUJydnZWRI0cqJ06cUL777jvF3t5eWbVqVT4nty7ZPc8jR45UPv30U+Xvv/9Wzpw5o4wdO1axt7dXDh06lM/JrU92z/Vd0dHRSrly5ZTWrVsrtWvXzp+wViwn57lTp05KgwYNlG3btikXL15U/vrrL2X37t35mNr6ZPc8BwcHK3q9XpkxY4Zy4cIFJTg4WKlevbrSuXPnfE5uXYKCgpTx48crq1evVgBl7dq1j9xfi+9CKXJyoH79+srgwYMzbatSpYry7rvvPnD///3vf0qVKlUybXv99deVhg0b5llGW5Dd8/wg1apVUyZNmpTb0WxOTs91jx49lPfee0+ZMGGCFDlZkN3z/OuvvyoeHh7K7du38yOezcjuef7888+VcuXKZdo2c+ZMpVSpUnmW0dZkpcjR4rtQuquyKTU1lYMHD9K6detM21u3bs2ePXse+Jy9e/fet3+bNm04cOAAaWlpeZbVmuXkPN/LbDYTFxeHl5dXXkS0GTk91wsWLOD8+fNMmDAhryPahJyc5/Xr11OvXj0+++wzSpYsSaVKlRgzZgxJSUn5Edkq5eQ8N27cmGvXrhEUFISiKNy8eZNVq1bRvn37/IhcYGjxXVigF+jMicjISEwmE97e3pm2e3t7Ex4e/sDnhIeHP3D/9PR0IiMj8fHxybO81ion5/leX3zxBQkJCXTv3j0vItqMnJzrs2fP8u677xIcHIydnfwayYqcnOcLFy6wa9cuHB0dWbt2LZGRkQwZMoSoqCgZl/MQOTnPjRs3ZvHixfTo0YPk5GTS09Pp1KkTs2bNyo/IBYYW34XSkpNDOp0u02NFUe7b9rj9H7RdZJbd83zX0qVLmThxIsuXL6dYsWJ5Fc+mZPVcm0wmevfuzaRJk6hUqVJ+xbMZ2flMm81mdDodixcvpn79+rRr144vv/yShQsXSmvOY2TnPJ84cYIRI0bwwQcfcPDgQTZv3szFixcZPHhwfkQtUPL7u1D+BMumIkWKYDAY7vuLICIi4r4K9a7ixYs/cH87OzsKFy6cZ1mtWU7O813Lly9nwIABrFy5kpYtW+ZlTJuQ3XMdFxfHgQMHCAkJYdiwYYD6ZawoCnZ2dmzdupVnn302X7Jbk5x8pn18fChZsiQeHh4Z26pWrYqiKFy7do2KFSvmaWZrlJPzPHXqVJo0acLbb78NQK1atXBxcSEwMJCPPvpIWttziRbfhdKSk01Go5GAgAC2bduWafu2bdto3LjxA5/TqFGj+/bfunUr9erVw97ePs+yWrOcnGdQW3D69+/PkiVLpD89i7J7rt3d3Tl69CihoaEZt8GDB1O5cmVCQ0Np0KBBfkW3Kjn5TDdp0oQbN24QHx+fse3MmTPo9XpKlSqVp3mtVU7Oc2JiInp95q9Dg8EA/NvSIJ6cJt+FeTak2YbdvTzxhx9+UE6cOKGMGjVKcXFxUS5duqQoiqK8++67St++fTP2v3vZ3JtvvqmcOHFC+eGHH+QS8izI7nlesmSJYmdnp8yZM0cJCwvLuEVHR2v1FqxGds/1veTqqqzJ7nmOi4tTSpUqpXTt2lU5fvy4snPnTqVixYrKwIEDtXoLViG753nBggWKnZ2dMnfuXOX8+fPKrl27lHr16in169fX6i1Yhbi4OCUkJEQJCQlRAOXLL79UQkJCMi7Vt4TvQilycmjOnDmKn5+fYjQaFX9/f2Xnzp0ZP3v55ZeVZ555JtP+O3bsUOrWrasYjUalTJkyyrx58/I5sXXKznl+5plnFOC+28svv5z/wa1Qdj/T/yVFTtZl9zyfPHlSadmypeLk5KSUKlVKGT16tJKYmJjPqa1Pds/zzJkzlWrVqilOTk6Kj4+P0qdPH+XatWv5nNq6bN++/ZG/cy3hu1CnKNIWJ4QQQgjbI2NyhBBCCGGTpMgRQgghhE2SIkcIIYQQNkmKHCGEEELYJClyhBBCCGGTpMgRQgghhE2SIkcIIYQQNkmKHCGEEELYJClyhBBCCGGTpMgRQlg1s9lMlSpVeOeddzJt37JlC0ajkZUrV2qUTAihNSlyhBBWTa/XM3bsWObNm8edO3cAOHz4MN26dWPKlCl069ZN44RCCK3I2lVCCKuXnp5OpUqVePnllxkwYAANGzbk+eefZ86cOVpHE0JoSIocIYRN+Oabbxg3bhwlS5akTJkyrF27FoPBoHUsIYSGpMgRQtiE+Ph4ihYtSoUKFdi3bx8uLi5aRxJCaEzG5AghbMKwYcMAiIyMlBYcIQQgRY4Qwga8//77bNq0iX379pGens4PP/xw3z5t27ZlwoQJNGzYED8/P06cOKFBUiFEfpIiRwhh1b7//nu++OILNmzYQO3atRk1ahSfffYZaWlpmfY7duwYZcuWZd++fQwaNIgNGzZolFgIkV+kyBFCWK1ff/2VoUOH8vPPP9OwYUMAhg8fTmxsLD/99FPGfjExMdjb29O/f38AjEYjnp6eGiQWQuQnKXKEEFbp4MGDdOvWjc8++4wXX3wxY7u7uzvDhw/nk08+wWQyAWorTv369TP2OXbsGNWrV8/3zEKI/CVXVwkhbN4333xDZGQk48ePB6Bu3bps375dWnOEsHHSkiOEsHnHjx+nZs2agDpxYHx8vBQ4QhQA0pIjhBBCCJskLTlCCCGEsElS5AghhBDCJkmRI4QQQgibJEWOEEIIIWySFDlCCCGEsElS5AghhBDCJkmRI4QQQgibJEWOEEIIIWySFDlCCCGEsElS5AghhBDCJkmRI4QQQgibJEWOEEIIIWzS/wEaAOYuHv3dDAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r = 0.6\n",
    "solution = find_fixed_point(r)\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r), label='y= r * sin(pi*x)')\n",
    "plt.scatter(solution, solution, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's study the stability of the FP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.8849555921538759 [-0.47325162]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r) ,sin_map_prime(solution, r))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "therefore zero is unstable (the abs value of the multiplier is larger than 1) while the other FP is stable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# randomly choose 5 values of x0 beween 0 and 1\n",
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r, 10, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj, label = 'x0 = ' + str(traj[0]))\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r))\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All trajectories converge to value x_final"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5808188615209807\n"
     ]
    }
   ],
   "source": [
    "print(trajs[0][-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.72"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15a621520>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r2 = 0.72\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r2), label='y= r * sin(pi*x)')\n",
    "solution2 = find_fixed_point(r2)\n",
    "plt.scatter(solution2, solution2, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both the fixed points are unstable!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.261946710584651 [-1.00016274]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r2) ,sin_map_prime(solution2, r2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r2, 10, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj, label = 'x0 = ' + str(traj[0]))\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r2))\n",
    "\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.75"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15a6a82b0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r3 = 0.75\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r3), label='y= r * sin(pi*x)')\n",
    "solution3 = find_fixed_point(r3)\n",
    "plt.scatter(solution3, solution3, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both FP are unstable!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.356194490192345 [-1.04183619]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r3) ,sin_map_prime(solution2, r3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r3, 20, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj[:], label = 'x0 = ' + str(traj[0]))\n",
    "#plot orizontal line\n",
    "plt.axhline(y=solution3, color='r', linestyle='-', label='fixed point')\n",
    "\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r3))\n",
    "\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# taking the 2 asymptotic values\n",
    "v1 = trajs[0][-1]\n",
    "v2 = trajs[0][-2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Understanding 2-periodic solutions with second-iterate maps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can understand this period 2 solution looking at the second-iterate map: this is a map that instead of sending to the future x_n by one time unit, it sends it by 2 time units:\n",
    "\n",
    "basically the original map $f$ reads:\n",
    "$$\n",
    "x_{n+1} = f(x_{n})\n",
    "$$\n",
    "while if we re-applying the map we get the second-iterate map *$g$*:\n",
    "$$\n",
    "x_{n+2} = f(x_{n+1}) = f(f(x_{n})) = g(x_{n})\n",
    "$$\n",
    "Studying this map, we have 3 fixed point, where the one we found earlier is unstable, while the other two are stable (from the plot we can see that the derivative at the intersection with y = x is close to zero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15a8e2d30>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot second degree map\n",
    "\n",
    "x = np.linspace(0, 1, 100)\n",
    "r3 = 0.75\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(sin_map(x , r3), r3), label='f(f(x))')\n",
    "solution3 = find_fixed_point(r3)\n",
    "plt.scatter(solution3, solution3, s=60 , label='unstable FP in original map')\n",
    "plt.scatter(v1, v1, s=60 , label='stable FP in second iterate map')\n",
    "plt.scatter(v2, v2, s=60 , label='stable FP in second iterate map')\n",
    "\n",
    "plt.title('SECOND-ITERATE MAP r = ' + str(r3))\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+2}$')\n",
    "\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex. 2.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Keep increasing r, and plot the iterates produced. At what r value does “chaos” set in for the sine map? i.e., when does a (nearly) infinite number of fixed points appears (cp. Logistic map shown in the figure below, for which lambda ~ 3.6 is the transition to chaos. Note that lambda in the logistic map plays the role of r for the sine map.) Do you observe any “stability windows” in which the number of fixed points is small? (cp. Logistic map for lambda ~ 3.82, where only 3 fixed points appear.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Chaos emerges aroud r = 0.86\n",
    "\n",
    "theoretical values of $r_{\\inf} = r_0 + \\Delta_0 \\Sigma_{n=0} \\frac{1}{\\delta^n}$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are stability windows around r = 1.1 and 1.6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## EXTRA: Interactive plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fc393e25fdb14197a381f93bac2f2521",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=0.55, description='r', max=1.0, min=0.1, step=0.01), Output()), _dom_c…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_map(r)>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now plot the map for with a number of times\n",
    "\n",
    "\n",
    "def plot_map(r):\n",
    "    x = np.linspace(-1, 1, 1000)\n",
    "\n",
    "    plt.figure(figsize=(15, 5))\n",
    "    plt.suptitle('maps')\n",
    "\n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.plot(x, x, label='y=x')\n",
    "    plt.plot(x, sin_map(x , r), label='f(x)')\n",
    "    plt.title('number of FP changes with r = ' + str(r))\n",
    "    plt.legend()\n",
    "\n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.plot(x, x, label='y=x')\n",
    "    plt.plot(x, sin_map(sin_map(x , r),r), label='f(f(x))')\n",
    "    plt.title('SECOND-ITERATE MAP r = ' + str(r))\n",
    "    plt.legend()\n",
    "\n",
    "\n",
    "interact(plot_map, r=(0.1, 1.0, 0.01))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we plots two rajectories, with very similar but not idenitcal initial conditions: on the onset of chaos this trajectories start to diverge fro each other"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "78a5085060f34e0e83bcd285eef9607e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.05, description='r', max=2.0, min=0.1, step=0.01), Output()), _dom_c…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_map(r)>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trajectory(r, 10, s)\n",
    "x0 = 0.5\n",
    "x02 = 0.51\n",
    "\n",
    "def plot_map(r):\n",
    "\n",
    "\n",
    "    plt.figure(figsize=(15, 5))\n",
    "    plt.suptitle('maps')\n",
    "    tr = trajectory(r, 1000, x0)\n",
    "    tr2 = trajectory(r, 1000, x02)\n",
    "    # plt.subplot(1, 2, 1)\n",
    "\n",
    "    plt.plot(tr[-20:], label='x0 = ' + str(tr[0]))\n",
    "    plt.plot(tr[-20:], 'o')\n",
    "\n",
    "\n",
    "    plt.plot(tr2[-20:], label='x0 = ' + str(tr2[0]))\n",
    "    plt.plot(tr2[-20:], 'o')\n",
    "\n",
    "    plt.xlabel('n')\n",
    "    plt.ylabel('$X_n$')\n",
    "    plt.legend()\n",
    "  \n",
    "\n",
    "\n",
    "interact(plot_map, r=(0.1, 2.0, 0.01))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 3.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Extend your code to output the iterates from the sine map for a sequence of r values between 0.1 and 1, taking at least 20 values, and randomly setting the initial point for each one. Plot the fixed point(s) on the Y axis against the r value on the X axis, so you get a plot similar to the one above.\n",
    "Then repeat this accurately enough that you can estimate the successive r values at which the number of fixed points doubles (you may need more than 20 values of r, and you may need to zoom in on small portions of the r-axis to get sufficient accuracy. So you’ll need to examine many little graphs across the r axis to locate the values of r where the period doubling occurs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(x_plot, y_plot, s=0.1, c='black')\n",
    "\n",
    "\n",
    "plt.title('$x_0 = $ ' + str(x0))\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x')\n",
    "\n",
    "plt.xlim(0.7, 0.9)\n",
    "\n",
    "# vertical lines\n",
    "b1= 0.715\n",
    "b2= 0.831\n",
    "b3= 0.858\n",
    "\n",
    "plt.axvline(x=b1, color='r', linestyle='-')\n",
    "plt.axvline(x=b2, color='r', linestyle='-')\n",
    "plt.axvline(x=b3, color='r', linestyle='-')\n",
    "\n",
    "# horizontal line\n",
    "plt.axhline(y=0.82, color='r', linestyle='-', c = 'blue')\n",
    "plt.axhline(y=0.445, color='r', linestyle='-', c = 'blue')\n",
    "\n",
    "plt.axhline(y=0.445, color='r', linestyle='-', c = 'blue')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimating Feigenbaum number  \n",
    "\n",
    "delta_true = 0.6692"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.296296296296292"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta_true = 0.6692\n",
    "\n",
    "delta = (0.831 - 0.715) / (0.858 - 0.831)\n",
    "delta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 3.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How many successive splittings can you measure accurately enough to get values for the Feigenbaum numbers?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Being a fractal with enough resolution and zooming in we could mesure infinite, due to computational power and feasibility we are measuring only the first 2/3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 3.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Say how your estimates of the Feigenbaum numbers for the sine map compare with those for the logistic map shown in the figure."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Feigenbaum numbers are remarkably the same !"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 4:  Fractal dimension of the sine map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 4.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find a value of r such that you get a lot of fixed points (i.e., you are in a region for the sine map corresponding to the region r ~ 3.95 for the logistic map). Generate 10,000 points from a randomly-chosen initial point x0, and write them to a file. Discard the first 5,000. Duplicate the data into a second column shifting each value by one. So, for each row in the file, column one contains xn, and column two contains xn+1. Plot xn+1 against xn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n+1}$')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 0.5\n",
    "r_chaos = 0.95\n",
    "# r_chaos = 0.75\n",
    "\n",
    "x0 = 0.5\n",
    "x0_2 = 0.5001\n",
    "tr = trajectory(r_chaos, 10000, x0)\n",
    "\n",
    "\n",
    "# discard first half of the trajectory\n",
    "tr = tr[5000:]\n",
    "tr_shifted = np.roll(tr, -1)\n",
    "\n",
    "plt.scatter(tr, tr_shifted, s= 0.1, c = 'black')\n",
    "# plt.scatter(tr2, tr2_shifted, s= 0.1, c = 'red')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "# plt.plot(tr, tr_shifted)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 4.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the 50,000 points from section 3.1, and for a series of values of $\\epsilon = 1, 0.5, 0.25, \\frac{1}{2^n} \\ldots$, create a histogram of the number of points within a distance $\\epsilon$ of $x_i$ for a sequence of values of $x_i$ ranging from 0 to 1. Then average the number of points in all the bins for each $x_i$ value, to get an average $\\langle N(\\epsilon) \\rangle$ for the number of points that lie in bins of size $\\epsilon$ across the set of points. Repeat this for each $\\epsilon$.\n",
    "\n",
    "Plot $\\ln(\\langle N(\\epsilon) \\rangle)$ against $\\ln(\\epsilon)$ and measure the slope to obtain the “fractal dimension” of the fixed points of the sine map for a single $r$ value.\n",
    "\n",
    "What is the distribution of fixed points for this value of $r$?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[3807.478,\n",
       " 2161.2208,\n",
       " 1327.9924,\n",
       " 871.3584,\n",
       " 550.2672,\n",
       " 329.8576,\n",
       " 187.128,\n",
       " 104.7012,\n",
       " 58.1708,\n",
       " 32.3236,\n",
       " 18.2556,\n",
       " 10.5092,\n",
       " 6.1932,\n",
       " 3.8924]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# seq = np.linspace(0, r_chaos, 100)\n",
    "seq = tr\n",
    "eps = [1/2**n for n in range(1, 15)]\n",
    "\n",
    "# now i want a function that counts the number of point of trajectory that are within eps radius from each point of seq\n",
    "\n",
    "def count_points(tr, eps):\n",
    "    '''\n",
    "    Count the number of points of tr that are within eps radius from each point of tr\n",
    "    '''\n",
    "    # compute the distance between each point of tr, getting a matrix\n",
    "    dist = np.abs(tr[:, None] - tr[None, :])\n",
    "    # count how many points are within eps radius from each point of seq \n",
    "    count = np.sum(dist < eps, axis=0)\n",
    "\n",
    "    return count.mean()\n",
    "\n",
    "count_points(tr, eps[13])\n",
    "N_eps = [count_points(tr, eps[i]) for i in range(len(eps))]\n",
    "N_eps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "slope =  0.775218595454997\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'r = 0.95 slope = 0.775218595454997')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# linear regression\n",
    "\n",
    "reg = LinearRegression().fit(np.log(eps).reshape(-1, 1), np.log(N_eps).reshape(-1, 1))\n",
    "# plot slope and intercept\n",
    "# reg.coef_, reg.intercept_\n",
    "slope = reg.coef_[0][0]\n",
    "print('slope = ', reg.coef_[0][0])\n",
    "\n",
    "plt.plot(np.log(eps), np.log(N_eps), 'o')\n",
    "plt.title('r = ' + str(r_chaos) + ' slope = ' + str(slope))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fractal_dimension(tr, eps):\n",
    "    N_eps = [count_points(tr, eps[i]) for i in range(len(eps))]\n",
    "    reg = LinearRegression().fit(np.log(eps).reshape(-1, 1), np.log(N_eps).reshape(-1, 1))\n",
    "    return reg.coef_[0][0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "EXTRA: fractal dimension as function of $r$  \n",
    "\n",
    "WARNING: it could take minuts to run next cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "fr_dim = []\n",
    "\n",
    "rangee = np.linspace(0., 1., 25)\n",
    "for r in rangee:\n",
    "    #print(r)\n",
    "    seq = np.linspace(0, r, 20)\n",
    "    tr = trajectory(r, 10000, x0)\n",
    "    tr = tr[5000:]\n",
    "    fd = fractal_dimension(tr, eps)\n",
    "    fr_dim.append(fd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'fractal dimension')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(rangee, fr_dim, 'o')\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('fractal dimension')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 5: Universality in chaos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add a new function to your code from Section 1.0, that iterates the logistic map:  \n",
    "$$\n",
    "  x_{n+1} = \\lambda x_n (1–x_n)\n",
    "$$\n",
    "\n",
    "where λ is in the range(0,4),and $x_0$ is in the range(0,1).Note that I have used rand λ because they have different allowed ranges."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ex 5.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose values of $r$ and $\\lambda$ near the beginning of their range (but not zero), and plot the first iterate obtained from both maps on the same graph, i.e., if $f(x)$ is the logistic map and $g(x)$ is the sine map, plot $f(x_0)$ and $g(x_0)$ for many $x_0$ between 0 and 1. What do you observe? Can you find values of $r$, $\\lambda$ so that the curves nearly overlap?\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "\n",
    "def logistic_map(x, lamb):\n",
    "    '''\n",
    "    Logistic map\n",
    "    '''\n",
    "    return lamb * x * (1 - x)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trajectory_log(lamb, N, x0):\n",
    "    '''\n",
    "    Compute the trajectory of the logistic map\n",
    "    '''\n",
    "    x = np.zeros(N)\n",
    "    x[0] = x0\n",
    "    for i in range(1, N):\n",
    "        x[i] = logistic_map(x[i-1], r)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In both the sin and logistic map, the maximum value occurs at x=1/2  \n",
    "However the height of this values changes in the two maps:  \n",
    "- Log_map(x=1/2) = r/4\n",
    "- Sin_map(x=1/2) = r\n",
    "  \n",
    "We will see that this factor 4 will comes up in the bifurcation diagram, as the distance between the first two bifurcation points is 4 times larger than the sin map case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15ac59e50>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = 0.01\n",
    "lambdaa = 0.04\n",
    "\n",
    "x0s = np.linspace(0, 1, 100)\n",
    "\n",
    "x1s_sin =sin_map(x0s, r)\n",
    "x1s_log = logistic_map(x0s, lambdaa)\n",
    "\n",
    "plt.plot(x0s, x1s_sin, label='sinusoidal map')\n",
    "plt.plot(x0s, x1s_log, label='logistic map')\n",
    "\n",
    "plt.xlabel('$X_0$')\n",
    "plt.ylabel('$X_1$')\n",
    "\n",
    "plt.title('r = ' + str(r) + ' lambda = ' + str(lambdaa))\n",
    "\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What property of the map functions do you think is necessary for two discrete maps to have similar long-time behaviour (referred to in the literature as being in the same universality class)?\n",
    "\\end{enumerate}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They both have bump between 0 and 1, and the height of teh bump doesnt exceed 1 (when lambda<4 and r<1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 5.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comment on how your bifurcation curve for the sine map compares to that obtained from the logistic map shown above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$ \\\\lambda $ ')"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aNR6PR5kxY4YSHh6u6HQ6n3XWnranKFcmBc6aNUvp1KmTEhgYqJjNZmXs2LHKN998c9WfQefOnZWxY8cqH3zwgdKnTx8lKChIiYqKUl555RWf665n2p6iKMrKlSuV3r17K8HBwcqdd96prF27tt5pewsXLvS7tvz8fGXMmDFKq1atFL1er3Tr1s1nit65c+eU6dOnK2azWWnRooVy//33K//85z/9TvvLyMhQevXqpQQGBvr896g9bU9RrkyT+9Of/qT06NFDCQwMVMLCwpTJkycrx44d87lu+PDhSp8+feqsu/bnrM/58+eVadOmKa1bt1ZatGihxMXFKd98802Dpu199dVXSlxcnGI0GpU2bdoojz32mHL06NE671UURbHb7cpdd92lBAUFKZ06dVL++Mc/Ks8//7zSpk0bn+sA5dlnn/W71hUrVig9e/bU/r6+/PLLyvLly+usS/37VJu/e1/rv78QQvwYdIpS64Q6IYQQjeL8+fP06NGDxMRE3nrrrcZejhB+VVdXaxPxvM/NEkKI24G07QkhRCM4efIk8+fPZ+TIkYSGhlJcXMzixYupqKhg1qxZjb08ITTTp08nLi6O9u3bc/LkSf7yl7/w9ddf8+qrrzb20oQQ4icn4UkIIRqBXq+nqKiIZ555hrNnz9KiRQuGDBnCX/7yF/r06dPYyxNCU1FRQXJyMqdPnyYwMJCYmBg+/vjj730umBBCNGXStieEEEIIIYQQDSCjyoUQQgghhBCiASQ8CSGEEEIIIUQDSHgSQgghhBBCiAa4LQdGXL58mRMnTmA0GrWT1oUQQgghhBC3H0VRqKioICIi4poH1d+W4enEiRN07NixsZchhBBCCCGEuEkcO3aMyMjIq15zW4Yno9EIXPkBmUymRl6NEEIIIYQQorGUl5fTsWNHLSNczW0ZntRWPZPJJOFJCCGEEEII0aDtPDIwQgghhBBCCCEaQMKTEEIIIYQQQjSAhCchhBBCCCGEaAAJT0IIIYQQQgjRABKehBBCCCGEEKIBJDwJIYQQQgghRANIeBJCCCGEEEKIBpDwJIQQQgghhBANIOFJCCGEEEIIIRpAwpMQQgghhBBCNICEJyGEEEIIIYRoAAlPQgghhBBCCNEAEp6EEEIIIYQQogEkPAkhhBBCCCFEA0h4EkIIIYQQQogGkPAkhBBCCCGEEA0g4UkIIYQQQgghGkDCkxBCCCGEEEI0gIQnIYQQQgghhGgACU9CCCGEEEII0QASnoQQQgghhBCiASQ8CSGEEEIIIUQDSHgSQgghhBBCiAaQ8CSEEEIIIYQQDSDhSQghhBBCCCEaQMKTEEIIIYQQQjSAhCchhBBCCCGEaIBGD0/btm0jISGBiIgIdDodmZmZ13zP1q1bGTBgAMHBwXTt2pW//OUvP/5ChRBCCCGEELe1Rg9PLpeLfv368cYbbzTo+sLCQh5++GEeeOABCgoKmDt3Ls8//zx/+9vffuSVCiGEEEIIIW5nAY29gDFjxjBmzJgGX/+Xv/yFTp06sWTJEgB69+7N7t27WbRoEf/v//2/H2mVQgghhBBCiNtdo1eerld+fj7x8fE+rz344IPs3r2b6upqv+/xeDyUl5f7/BJCCCGEEEKI69HkwtPJkydp166dz2vt2rWjpqYGp9Pp9z0vv/wyrVq10n517Njxp1iqEEIIIYQQohaXy8WqVatwuVyNvZTr1uTCE4BOp/P5WlEUv6+rXnrpJcrKyrRfx44d+9HXKIQQQgghhPDlcrl45plneOONN1i5cmVjL+e6Nfqep+t1xx13cPLkSZ/XHA4HAQEBhIaG+n2PXq9Hr9f/FMsTQgghhBBC+OFwOJg0aRKlpaV8++23REZG8swzzzT2sq5Lk6s83XfffeTk5Pi8lp2dzb333ktgYGAjrUoIIYQQQghxNSkpKYSEhFBYWIhOp2Pfvn2NvaTr1ujhqbKykr1797J3717gyijyvXv3cvToUeBKy92UKVO06//zP/+T4uJifvWrX/H111+zYsUKli9fTnJycmMsXwghhBBCCHEVDoeDGTNm0L59e1wuF7/4xS8ICQnh5z//eWMv7bo1etve7t27GTlypPb1r371KwCmTp3Ku+++S2lpqRakALp06cLHH3/Miy++yJtvvklERASvvfaajCkXQgghhBDiJjRnzhw2bNhAs2bNGDZsGHv37mXMmDFEREQ09tKum05Rpy3cRsrLy2nVqhVlZWWYTKbGXo4QQgghhBC3nNdff53nn3+egQMH8t1339GiRQsMBgOPPvooZ86cYeHChRgMhsZe5nVlAwlPEp6EEEIIIYS4oVwuFy1bttS+HjFiBGazGY/HQ1lZGWvXrsVsNjfiCv/terJBo+95EkIIIYQQQtw6XC4XycnJjBs3DgCr1UqHDh0IDg7m1KlTXLx4kQ0bNjTyKr8fCU9CCCGEEEKIG8Zms+FwOKisrOS7777DYDDgdrupqakhICCAO+64g7y8PDkkVwghhBBCCHF7Wr9+PTqdjpkzZ3Lo0CHatWtHeno6nTt35uuvv8bj8dChQwcqKyuJjo4mMzOzsZd83SQ8CSGEEEIIIX6wxx9/HIDq6moOHz6M0Whkzpw5nDhxAqvVSsuWLTEajbz99ttERkaSmJjYuAv+HiQ8CSGEEEIIIb43h8PB1KlTue+++wDQ6XTcf//9XLhwgdzcXBYtWkRoaChFRUV06tSJvLw8kpKSbopJe9er0c95EkIIIYQQQjQ9LpeLjIwMVqxYwZdffkmbNm3o1asXLVq0wOVyUVRURFlZGRkZGaxbt47g4GA2b95MREQELperSYYnqTwJIYQQQgghrltGRgbvvPMOJSUlXL58meDgYD744ANiYmJo3749p06d4vPPP+fTTz/F5XJRVVXFY489RkVFRZPc7wQSnoQQQgghhBDXYeXKleh0Ot5//33at2+v/Zo5cybh4eF89913HDlyhLKyMgBatmxJt27dSEpKYsyYMWRlZREbG9vIn+L7kfAkhBBCCCGEaLCnnnoKgG3btvHZZ5/xs5/9jHbt2qHX60lJSSEwMJCTJ0/SpUsX7r33Xvr374/RaGTUqFHMmDGDwMBAnn76aRlVLoQQQgghhLg1uVwuli1bpk3Va9euHSaTib/97W907doVvV5PWloaNTU1PP3009x7770YjUby8/O5ePEi6enpjBgxguLiYlq3bs3atWsb+RNdPxkYIYQQQgghhLgqh8PBpEmTaNOmDfv27aNfv34YDAYCAgJ44IEH+Ne//sWoUaMwm82sX78em81GVFQUCQkJwJUJfOPGjSMnJ4df/vKX5OfnoyhKI3+q66dTmuKqf6Dy8nJatWpFWVkZJpOpsZcjhBBCCCHETW3GjBns3r2bkJAQdDodOp2OUaNGkZeXh8vlorq6msGDB7Nw4ULsdjsej4eKigrCw8NJSkryuZfL5SIzM5PExMSbYuLe9WQDqTwJIYQQQgghrqpPnz7k5uZy4cIFevToQfv27SktLaVNmza0b9+eFi1akJqaSkZGBp9++il6vZ7hw4f7PQjXYDDUCVRNhex5EkIIIYQQQvhVWFjIiBEj+OyzzwgPD+fOO++kvLyc8vJyvvrqK2pqaggODmbx4sWYzWaqqqrYs2cPZWVl7Nq1y+89XS4Xq1atkoERQgghhBBCiKZPDThJSUns2LGDjz/+mM6dO2MwGDh16hTbt2/n0KFDHDp0iOjoaO3cpqCgIAYMGMD58+eJiorCZrPVCUp2ux2n09kkz3qStj0hhBBCCCGExuVyMWvWLM6fP8+pU6dQFIWAgAD27t3LpUuXCA4Opqamhs6dO9OrVy/Cw8O19rxJkyZRVVXFjh07MBqNAFpQSkpKwuVy4Xa7MZlMflv6bnZSeRJCCCGEEEIAV6bqxcXF8eGHH/LJJ58QHR3NoEGD6Nu3L71796ZNmzaYzWby8/Pp378/Ho+HvLw87f0Gg4Evv/ySM2fO8OGHH5KQkKCFK5fLRXJyMsXFxaxevVra9oQQQgghhBBN04EDB+jWrRv5+fmcO3cOj8fDhQsXWLlyJT179mT48OFMmzaNpKQkzGYz9913H6WlpZw/f55Zs2axfPlyXC4XaWlpuN1uhg8fTk5OjjYcIjk5mbCwMFasWEFQUBCpqamN+4G/BwlPQgghhBBC3ObWr19P3759qays1F4LDAykY8eOpKWlUVBQwNdff43RaKSiooLMzEysVitJSUk4nU7Onz9Pbm4umZmZGAwGrFYrHTp00Frz7HY7UVFR5OfnM3nyZI4ePcrs2bMb6dN+fxKehBBCCCGEuI3NnTu3zv6jwMBAQkJC8Hg8HDlyBEVR+Prrrxk6dCjh4eHExcXx7rvvsm7dOh544AHatGnDqFGjSExMxG63U1lZiV6vx2Aw+OxzeuSRRzh79ixTpkzxafdrKiQ8CSGEEEIIcZuaO3cuL7/8ss9rAQEB3HHHHfTs2ZOWLVsSHx+Px+PBYDDw9NNPk5iYSHZ2Nu+//z6FhYX861//Yv78+QQFBQFgsVh8hkioYWrfvn1UVVUxZMgQIiMjZWCEEEIIIYQQoumoHZwAampqCAgIoH379gwaNIiuXbuyYcMGampqGD58OJmZmVgsFrp160ZQUBAPPvggKSkplJSUYLPZsNvtxMXFYbfbcblcxMfHc/DgQebMmUN4eLjW7mcwGBrhE/8wMqpcCCGEEEKI24zL5WLRokUEBwfjdrvrfP/06dOUlJQQHBysDXxYv349NptNu37kyJE0a9aMw4cPEx0dTXFxMUajkdzcXHJycrh06RIejwe9Xk/Pnj3Jy8vT7tVUSeVJCCGEEEKI24zNZmPBggV4PB7atWuHoiiMHz9e+36rVq246667mDhxInAlbGVkZJCfn4/T6cRmswFXAtSCBQuIjIxk4cKF6PV6AHQ6nfa7dxufevhuUxxTDhKehBBCCCGEuG24XC6WLVvGtm3bCA4ORlEU7rjjDgDefvttevToQfv27TEYDPzhD3/QWuvsdjtbtmyhsrKS4uJiAM6cOcOuXbswGAxaG57VaiU2NhZFUYiNjWXixIk+37fb7dqhuU2RhCchhBBCCCFuEzabjRUrVuByuQgLC6Nly5b06tULALPZzD//+U86duzIuXPneP3115k5cyYOh4P4+HiaN29OcHAwqampWK1WioqKiIqK8glC6iG5ZWVl7N+/v86+ptrDJJoaCU9CCCGEEELc4rZt20arVq1YsmSJtg9pyJAh9O3bl2HDhmnXmc1mzp8/T2VlJa+//jqlpaWkpqby0UcfcfjwYSorK0lJSQFgzpw5ZGdnExsb69OOl5aWRkRERJ1DcF0uF3a7ncTExCY5LAIkPAkhhBBCCHHLGz9+POXl5ezfv5/jx49z9OhRunbtSosWLXj00Ud9rk1KSiIwMJBf/OIXWgiqqKjg5MmTlJaWEhUVhc1mY8aMGQQGBjJ16lTGjh1LYWEhmZmZmM1mli5ditls9rlvRkYGmzZt0vZLNUUSnoQQQgghhLiFuVwuIiMjgSuDIAwGA6GhoeTn5xMfH09OTo7P9R06dCAhIYGePXuycOFCPvroIz788ENMJhPR0dGEhYWRn59PbGwsx44dw+12c+bMGWw2G3Fxcdoz1UqU+ueqqirg38MkmiIJT0IIIYQQQtyCDhw4QJ8+fXj99dcJCQkhLCyMO++8k0GDBtGmTRseeeQRv/uPRo0aRWlpKSNHjsRut/Ppp5/idrtp06YN6enp6PV6oqOjOXPmDLm5uTz55JOEhYVhtVq1IOY9GMJms7Fx40aqqqowGo2MGzeuEX4aN4aEJyGEEEIIIW4xDoeDoUOHcvToUV599VWSkpKwWCz88Y9/5IsvvuDChQtUVFSg1+vr7D9KT08nMDCQcePGMXToUFq2bEm3bt20iXlutxuTyUTfvn3Jyspi6tSpbNiwga5du2pBzHswhKIoNGvWjP3799OzZ886la6mRKcoitLYi/iplZeX06pVK8rKyjCZTI29HCGEEEIIIW6YAwcOcP/999OmTRuOHz/OqFGj6NKlC4sWLWLs2LHs27eP1q1b89BDD7Fw4cI64cnhcDBy5Eg6depEZGQkgwcPprq6mqCgIACcTifZ2dmEh4cTEBDAmDFjtMNv1aEQFotFu6/L5SIzM5PY2FjS09NJS0ursx+qMV1PNgj4idYkhBBCCCGE+JG5XC7i4uKoqanB6XTSv39/KioqiIiIYOXKlVRVVWEymYiNjfUbnODKuPFnnnmGL774gt69e5Obm0tgYCA1NTXExsZSVFTEiBEjOHLkCIGBgcTGxrJs2TJ0Oh0ej4e8vDw8Hg/Tp0/3CVN2u12rPKlhq6mRtj0hhBBCCCGaOJfLxZtvvsnYsWPp3r07brebtm3b4vF4uHTpEqWlpezcuZMLFy7QpUsX/ud//ofk5GQcDkede9ntdqqrqxk+fDhGo5FmzZpRXV1NYWEhAIsWLSIiIgKAiooKFixYwJYtW8jNzWXPnj3U1NTw2WefacFJ3fvU1M94AglPQgghhBBCNHkrV67k97//PYcPH+bgwYOYTCaqqqo4efIkFouFhQsX0qtXL06cOMHFixdJS0vTznCqbejQoWRlZREbG8vo0aM5ceIEPXv2RFEUdDodBoMBvV6P2+3m2LFj3HnnnQQHBxMbG8uCBQto06YN3bt31wKT0WjE7XYDaPummipp2xNCCCGEEKIJKyws5H/+53+0CtGIESPYsWMHp06donv37hQXF2MwGDh8+DCXL1/m0KFDNG/enD59+vgNT+np6RiNRhYuXIiiKBiNRj799FN0Oh1ut5tVq1YRHx+Px+OhqqqKzz//nOjoaFq1aoXZbGbRokVkZmZqFab8/HwqKyvR6XRMmzbtp/3h3GBSeRJCCCGEEKKJWr9+PV27duXixYtcvHiR3/zmN/zud7/D4/HQoUMHjh8/zrPPPssnn3zC6tWrMZvNBAQE0KZNGy5fvkxWVhYul8vnnmlpadrhuGlpaYSHh9O+fXsuX77MF198gdPpJCcnh+nTp2M0GomOjqa4uFgLSwaDQasw2e12KisrOXbsGLfCnDoJT0IIIYQQQjRBK1eu1AJLWVkZXbp0oVWrVrzxxhv069ePs2fPMmTIEN58800eeeQRqqurOXz4MKNHj6ayspLKykpyc3PJzMz0ua/ZbNYOx129ejXffvstHo+HZs2aMWjQIJ99SxaLhcjIyHqHT1gsFoYNG8add97JkCFDmDlzpt99Vk2FhCchhBBCCCGaGJfLxZNPPql93axZM/R6PYqikJaWRteuXfnnP/9Jly5dSE1N5cMPP0Sv1/PXv/6Vn/3sZ0yYMIHmzZsTEBBAXFxcnfvb7Xa2bNnCm2++yXfffcfZs2eZPn06U6dOrbNv6eLFi9hsNlwuFy6Xi1WrVmnVLIPBgMlkok+fPjz//PP17rNqKiQ8CSGEEEII0cRkZGQwePBgAO2spf/4j//AarViMBiIjY0lKiqKpUuXYjabuf/++/m///s/fvazn6HX6/n8888pKiqipqbG76G1FouFkSNHMmTIEDp06IDVamXatGl1qktqyFIrWN7T9eBKyFMP1V22bJnWDthUycAIIYQQQgghmgCXy0VGRgYVFRWsW7eOS5cu8cQTT6DT6Rg6dChBQUE4HA6eeuopWrduzZYtW3j11VcBSE5OJioqSpuA5/F4GDp0KHq93u/ocIPBwPTp07FardrwB38H4MbHx7NlyxZiYmK0+3gPi7DZbOTm5jJ69GjMZjOxsbFNetqeTrkVdm5dp+s5RVgIIYQQQoibwdKlS1myZAk1NTVUVVVRU1PDCy+8wOHDh7l48SKXLl3i5MmTnD9/npMnT3L//ffTunVrANq3b09eXh4ZGRmYzWa/Qcif2ofcOp1OwsPDtUNuV61ahdPpxGg0otfrtfs5HA5SUlLo0aMHe/bsYcSIEej1+jrvvxlcTzaQtj0hhBBCCCFuYuoBuIsXL+bChQuYzWYiIyNp0aIFX375JefPn+fTTz/lu+++IzExkYEDB/LrX/+aNm3aaIMh8vPziY+PJycnB5fLRXJyMiUlJXWGRdRmt9spKSlh1qxZnD59mgMHDhAbG6vta1LPccrPz/e539y5c9m5cyf79u1jxIgReDweysvLMZlMTfqQXGnbE0IIIYQQ4ib21ltvkZqayqVLl3C73Tz11FMcPXqUU6dOAeB0OmnXrh0Gg4Gnn35aqyS5XC5WrlxJQUEBv/3tb3njjTd46qmnsNvtREREkJOTw5o1a+p9rsvloqysjI0bNxIWFsYHH3xAly5dSE9Pp2fPnthsNvR6PYA2rvy5554DoH///nzzzTcMHDgQgPfeew+dTuezvqZIKk9CCCGEEELcpBwOB+np6bjdblwuF82bN2fFihX07t2bwMBABg4cyLp167j//vtZsWIFdrvdZ9KdXq+nvLycZ599lqioKD744AO2bNnCN998Q1hYGBs2bKj32TabjdWrV9O6dWucTicPPvggxcXFhIaGkpmZSXl5OU6nE4CwsDAGDBigvffJJ59k5syZTJ06VTvfSVGUJn/Wk4QnIYQQQgghbjIul4uXX36Z7t27U1lZyeXLl+nZsyctWrTg8ccfZ9OmTcTExGAymbRzmdLT031a51wuF/n5+RQXFxMWFkZxcTE7d+5k9+7d7N69G6DeMKO+NyIigvPnzzNmzBi2bt3KhQsXePvttykuLuaLL74gPDwcq9WKXq+noqJCe7Z6UC6Ax+OhV69eTJkyBavV+qP/7H5MEp6EEEIIIYS4ibhcLmbNmsUf//hHLl68SGVlJcHBwdxzzz3Mnz+fyspKRo8eTdu2bZk4cSJwpUrkcDj4+9//TllZmTboITo6mrvuuouHH36YhQsXMnDgQC5cuEB0dDROp5OEhAS/a1DfazabWbduHZGRkSxbtoyYmBhGjBhBu3btGDx4sHbmU3x8PAcPHqxzZpTdbic/P5+amhpatWqFwWCocxZUUyLhSQghhBBCiJuI3W7n/PnztGrVirZt29KlSxe6du3KyZMnqaiooKqqiiNHjtC3b1/tPW63my+//BK32822bduYNWsW5eXlhIeHs2TJEiZOnEhGRgY6nY4XX3yRsLAwwsLCyMrK8rsGi8WiteKpVaQuXbrw9ttvs2LFCn75y18yZcoU4ErYS0lJISoqSjszSg1IQ4cOJTg4mNjYWG3ceUOHVdyMJDwJIYQQQghxE3C5XLzyyiv83//9H9XV1QQFBfGb3/yGzz77jKFDh/LOO+9QVFSEx+Ph22+/JS8vD5vNxqpVq9DpdMTExNCjRw9tXHleXh56vR6DwaAdZpuXl4fJZOKBBx4gICAAnU7ndy3qfinvVjzv76kVJ7gS9qKioiguLtYm6aljzdPT0+nbt69WdfJ3bVMi0/aEEEIIIYRoZGqr3kcffURVVRWKotC6dWt2796N0Wikb9++bNy4kbvuugudTkd5eTkbN26kvLwcnU6H0WgkISGBsrIytm3bRvPmzQkICNBa+NSDcXU6nVYB2r17N+PGjauzFvWMpjlz5pCXl0dcXBzLli1Dp9ORkJBAdnY2FosFuBKShg4dSnp6OmlpaT6H59a+x6pVq4iPjycrK4uwsLCf9Od7o8ghuXJIrhBCCCGEaGSLFy9mwYIFVFdX4/F46NKlC2fOnKF79+60b9+effv20bZtW7p3786YMWPIzc2loKCAu+++m5/97GdaFWfWrFmcP38ep9NJ69atOXDgAC+++CLPPPOMz/OWL1/O5s2bGT16NNOmTfP53syZMyktLSUiIoKFCxeSnJzMuXPnCAgIwGg00rNnT8LDw1EUBafTycGDB7XXah+eq77m/bXb7a732Y1BDskVQgghhBCiCVD3BtlsNsrKyqiqqsJoNGIymejSpQvt27fH6XRy991307t3b0aNGkViYiL9+/cnJCSEgQMHaoElOTmZzp07c/78eUaPHs3Bgwdp2bIlBQUFdZ7r8XgoLCzE4/HU+d6cOXOorKxk9uzZWptdcHAwISEhzJkzh/DwcOLi4igrK+PAgQPaa95teBaLRXvN5XLhdrvR6/W43W7Ky8vrffbNTsKTEEIIIYQQjcDlcvHMM8/wyiuv8N1332EwGAgICCA4OJhu3brx9NNP8/DDD/POO+/QunVrBg4cyLhx47Db7Tz88MPcddddPProo8C/9x2Vlpby9ttvc+LECT744APuu+8+XnjhBWbMmMHixYtZvnw5LpcLRVHQ6XR+R5Vv3ryZdu3akZubS3x8PN9++y0A3bt3Z/PmzSiKQlZWFvn5+Vy8eJG8vDyfPVDguy/KbrdTWVnJvn37qKio4MCBA3Tr1o2goKCf5gd9A0l4EkIIIYQQohGsXLmSTZs2cejQIZo1a0ZVVRUDBgzQ9iZZrVamTZvG9u3bcbvd5OXlMXfuXDZs2MCUKVM4d+6cdshtfHw8RUVFpKamsn37dnr27Mlnn31GbGwsCxYsYP369bz66qusWLGClStXsnPnTqqqqti5c2edkeGKotCsWTMURSE7Oxu3243b7aa4uBhAOxh35MiRjBo1StvP5H0f73HkFosFo9HIXXfdhV6vp0+fPgQHB9c7Jv1mJgMjhBBCCCGE+Ak5HA5mz55NXl4eYWFhGAwGzp49S//+/fnmm2+IjIzk8OHDrF27lokTJ+J2uxk6dKjW9rZ69Wqqqqo4duyYVjnKysqivLycDRs2MHHiRDIzM3G73ZSUlLB7926Cg4MJCgqiffv2ZGRk4PF4OHfuHG63m8zMTK31D2DSpEnaFL74+HgtzKlnSmVmZpKYmKhVmpYtW8aWLVvweDxMnz4d+Pe0PfXe6uS+gwcPUlFRAUBOTo7Pc5sCCU9CCCGEEEL8RA4cOMCQIUNwuVy0bNmSyMhIhg0bRnFxMTt37uS+++6jsLAQRVEoKyvTWt7UwQsulwu9Xk9VVRV6vV4LNN7VIrVlTj1T6fHHHyc/P5+3336b+fPnc/ToUQAeeOABHnjggTojw9Ux5U6nk5ycHC0QAVrLnzc1aHmPPbdYLFrI8v76iSeeICsrS5v619RIeBJCCCGEEOInsH79ep/AUFlZSXV1NWazGbvdTmBgIPv27aNly5YoisLXX3/Nf/zHf/iEEAC9Xo/VavXZY+RdLXK5XBgMBgwGA2lpaaSkpLBmzRrMZrNPcFuyZInPPbypYUdtybNYLNr+JafTic1mQ6/XY7FYsFqtBAcH+6xRDXDe1GDnHcaaGhlVLqPKhRBCCCHEj6ywsJCuXbv6vNaiRQuqq6tp1qwZISEhVFdX069fPx577DG++uor/vCHP2A2m33eU3sEuEqtMkVFRWE0GtmzZw/du3dn06ZNjB49mq5du5KUlKSd4ZSWllbn3v7Ufp7L5dJaAisqKuqs42r3KSkpoaioiEWLFtUb2hqDjCoXQgghhBDiJjJlyhRCQkIAMBqNhIaGEhoaik6nw2AwcOeddzJhwgQeffRRjEYjf/jDH8jOzsblcuFwOJg5cyYOh4P4+HgOHjxIXFwccCU0LVu2jFmzZhEREUFxcTF79uyhoKCAJUuWcP78eTZv3ozb7daCU1RUFDk5OfWuVR324HA4cLvdmEwmraqkVpSsVitGoxG3211n4IS/ew0dOpTs7GwiIiKw2Wx1Bkw0FVJ5ksqTEEIIIYT4kajDIbZs2cKZM2dISEhAr9ezdetW+vXrx6FDh5g0aRIREREA5ObmAhAcHIzb7SY2NpZ169Zx5swZQkND+fnPf47T6dQqOHa7nU2bNlFTU4PRaGTIkCEMGTKE5557jpEjR3L8+HHuueceqqqqOHjwIBEREWzZsoWMjIx6K09qtcn78Nu4uLg6Fav6qmD13SsqKori4mL69u1LXl4eI0eOvCla+KTyJIQQQgghRCPbtWsXnTt3JiMjg1OnTnHp0iX69etHv3790Ol07Nu3D4PBwJEjR3A6neTn5zN06FBGjRpFTEwMAAUFBYSFhXH69Glat25Nfn4+hw8fJioqiszMTCwWCyNHjiQ+Pp4hQ4ZQUVHB4sWLadeuHUeOHGHw4ME8+uijhIeHk5aWxokTJ4iPj79q5Uk94DYtLU2rLs2dO5fS0lJSU1N9rrtW9cn7XmFhYfTt25edO3dSU1PjM2CiqZDwJIQQQgghxA3mcDgYMWIEbreb6upqqqqqCAkJ4ZtvvsFkMhEQEEBZWRlFRUUAfPvtt1RWVmoT9IKCghg1ahTz589nzJgx/OY3v+H8+fN07tyZIUOGEBkZSWJiIi6Xi927dzNy5EgURcFkMtGnTx/27NnD/v37WbFiBRs2bCApKQmz2cyiRYsICwujrKxMOzDXH3W4gzpiPCYmhoiICC08uVwu7HY7ABUVFWRmZvq9j9rmZzab0ev15OXl4Xa7adu2rTYpsCmR8CSEEEIIIcQN5HK5SExMpHnz5jRv3pwWLVrQrl07goKCuOeee7BarcycOZNevXrx4IMPkp6ezpAhQwgMDMTtdpOcnExpaSm7du3SptOFhYUxevRotm7dyqhRo7Rx4SkpKZSWlvL0009z5swZdu3ahV6vJyYmBoPBQMeOHXG73T57jPLz83nvvffIycnxG3rsdjslJSXMmjWL8vJyTCYTU6dOZenSpVrLnjp1DyA8PLxBY8e9q2QLFy68qYZGNJSEJyGEEEIIIW4AdXjDM888w6FDh/B4PHTq1Im+ffvSuXNnunTpQlBQEAaDAZPJRGRkpDZEAmDkyJEAnDt3juzsbEpLSxk7diwOhwOLxcKJEycYPnw4M2bMoKSkhMzMTNLS0oiIiODtt9+mqKiIqKgoANq0acPKlSu1PVbqgbXquVGAzyAIbxaLhaKiIiorK9m2bRu7du3yGVqhXmM0GgF8Dsy92s/FZrNhtVqZNm1akwxOIOFJCCGEEEKIG+J///d/ee655/j000+5fPkyer2eHj16UFRUxMWLFzl9+jQejwcAt9vN559/zhdffMHcuXO1lj29Xk9AQACdOnXis88+49y5c8ybNw+73a7tWRoxYgSHDx/G7XZjMBhYunQpBoOB6upqjEYjHo+Hffv2sXHjRpKSkkhISNAm9FksFuLi4pg6dSqDBw/2+zkMBgOLFi1i2LBhlJSUcPr0aZ566imfPU/eLX3+qlfqlD2Xy0VGRgbLli3j7bffxmaz/Vg//p+EhCchhBBCCCF+IIfDwfz58/F4PJw6dQqTyYTZbObw4cNUVlZy+PBhTp06xe7du4Er0/TCwsIAqKmpQa/X43a7GTVqFEajkXvvvZf777+f0NBQ7rzzTjZt2sTq1auprq6mZcuWVFVVkZOTo4WRlJQUnE4nBQUFrF+/ngsXLlBQUIDL5aoznlyv1xMUFHTNvUp6vZ6qqiqOHz/O/fffz65du3jqqae0a9RhEP6qV2pbX2ZmpjYYorq6mvfff1+rXjVFEp6EEEIIIYT4AXbt2kVUVJQWEkJCQhg8eDD33nsv/fr1o2XLloSHh9O2bVsCAwNxuVy43W569epFdHS0VoVyOp3MmDGDqKgoTCYTY8aMISkpCb1eD8D69etxOp38/e9/x+PxcOzYMe2Zavte//79GT16NKGhocydO5fk5GTt/KfExMTr2qvkdrvR6XT06tWLf/3rX7Rt25aXXnoJ+PfACLVlz7vSBGjnUcXGxqIoClOnTsVoNNKyZUufiX1NjYQnIYQQQgghvqfCwkJiY2O5ePEiHo8Ho9GI0Wjk+PHjxMfHc//999OlSxcGDx6sDYew2+3k5+dTU1NDSEgIAQEBDBgwgKKiIkaMGEFxcTFWq1Vri9Pr9YwZM4Z33nlH298UFxfH9OnTtYl1ZrOZpUuX8uijj3LixAnWrFnD9u3biYiI4B//+Ad9+/YF/h1qEhISSEpKuureo+DgYKKioggMDOTNN9+kXbt2vP3224BvZcnf19nZ2fTs2ZP58+eTm5uLXq/nnXfewe12M3v27B/vP8iPLKCxFyCEEEIIIURTs23bNsaMGcPFixe1yXeBgYF0796dr776inbt2mkVo++++47q6mqeffZZzGYzFosFj8eDTqdj3Lhx5OTkaBWgzMxMfvWrXwFXKj8mk4mJEydqIWfp0qUAdQ6XdTgcpKSkcNdddxEVFUVKSgpz5szhnXfeISwsjLy8PFq1aoWiKPTs2ZOcnJx6D7ZVWa1W8vPzqaio4LPPPuPTTz/VvmexWLDZbNoZTxaLhczMTO1zqF/HxMSQn5+Poij84x//4I477mDz5s03xeG434dUnoQQQgghhLhOY8eO5cKFC1pwAtDpdJw9e5YWLVrgcrmIi4tj7969XL58mXPnzmnXquPHJ06cyEcffURZWZm2d0mtBqlT8fR6vRacvFvjarfJqSPLCwoKtKl76enpxMfH06ZNG0aNGkViYqJWeYqLi7vmZzQYDMTExHDs2DFt0IXL5eLNN99k1qxZeDweTpw4wfjx43G5XNravVv6pk6dyogRI4Ar50EVFhZq92qKJDwJIYQQQghxHbZt26aN+wbo1asXRqORFi1aoCgKQUFB9OjRg4cffhi73U779u2JjY0F8DmU1m63s2XLFlavXk1ubq7P8AZ/wxi8W+Nqt8mpe55eeOEFbepeWloakZGRLFmyRBsP/tFHH1FRUUFWVtY1P6fL5WLPnj107NgRvV6Py+UiOTmZ999/n4KCAgoKCtiyZQshISHaPiaHw8H48eMpLCwkMzPTZyrfgQMH6Nq1q1aRa4okPAkhhBBCCNFA27ZtY/jw4drXW7du5b/+67/o2bMnbdq0YciQIYwePZpvv/2W/fv343K5+O6774iNjdWm26lnJg0dOpTY2FiioqKorq4mJycHh8NRZxiDyjtQ1Q5X6p6nxYsXa8HGYDBw8eJFbDabFtrUARPq7/6oVS2bzUZ0dDRt27bFarVit9uJioqiV69eDBgwgPnz55ORkUGnTp2YPXs2q1atYu7cuYSEhLB161afFr7w8HAWLFjAQw89hNVqvcH/VX46OsW71nibKC8vp1WrVpSVlWEymRp7OUIIIYQQookwGo1a1Wnr1q0MGzaMpUuX8s4771BTU8PJkycZMGAAwcHBFBcXc+jQIQYOHEhkZCTDhg1j4sSJzJo1i4KCAnr16kVJSQkXLlzg7NmztGrVisGDBxMbG4vT6dTCkd1ux2KxXPMgWrvdzvHjx1mxYgUzZ84kPDycTZs2ATBmzBgSExPJyMigWbNmjBs3juzsbL/3XbVqFU6nk6CgIL788kvS0tIwm824XC5tX9PV3rN//35SU1Mxm803+Kf/47iebCCVJyGEEEIIIa7h9ddfR6fTacEpICCAYcOGUVhYyP/+7//yzTff8O2333Lu3Dl27dpF8+bNCQ4O5qWXXuLixYucP3+e1atX43K5iImJITg4mKNHj3L+/HnOnj3L4MGDGTBgAKmpqVgsFoKCgsjNzWXlypU+7Xn1Udv4vv76a8LCwggODiY+Pp7g4GBiY2O1EFZZWYmiKKSkpFBSUuL3vmqlSK/Xa8MnHA6H32qYSt1L9eijj2qH9nrvyXK5XCxbtoylS5eyfPlyn/bFpkTCkxBCCCGEEFfx+uuv8/zzz/u8VlNTg06n47777uPEiRO4XC50Oh1BQUE88MADfP755xw4cICsrCx69+6Nw+Hg7NmzzJs3j6lTpzJt2jQeeeQR+vfvz69+9SveeustFi9eTHZ2NgBffvmlduitWoE6cOAAffr04cCBA3UGRlgsFoxGIwARERF8/vnnZGVl0bdvX1q1aoXBYNBCEUBUVJR29lNtBoOBpKQkrFarNnxCPYQ3MzOzzrPh36PJ1YN4/Y0yr29/V1Mi4UkIIYQQQgg/1GpT7eDk7dSpU4SEhGAwGOjYsSMtWrRg4MCB9OvXj0uXLhEWFkZFRQVVVVWcOHGC7t27A5Cfn8+OHTu4//77eeaZZ7QJe2rgUAdAzJ8/X5ti9/jjj3P27FkmTpxYJ5yogxnuvPNOzp8/T3R0NHClzVAdJw6gKAoJCQlERkaycOHCelsB1TZAdehEWlqaTxuh0+nEZrNpIar2Hix/X48cOZLJkydrk/+aIglPQgghhBBC+OEvNL300kt07tyZZs3+/c/oc+fOERQUhNvtxmw2s2HDBhwOB127duXcuXMcP35cG2F+5MgRrX3u2LFjPoMbvAOHOgDCu/1t3bp1hIaGsnbtWq1NLjY21ifAREZG8vbbb1NUVERCQgJ6vR6n00lycjI2mw2n06mdK2W32+ttn1MDUlZWFoqiaNUo7wqWx+Nh06ZN2ph171EK3terX0+fPp2ZM2dqk/+aIglPQgghhBBCeFErTt5ee+01FEVhwYIFFBUVcenSJXbu3ElQUBB6vZ7z58/TrFkzQkNDCQ0Nxe1206ZNG1auXMm0adN4/vnniYuL4w9/+AMWi4W4uDgmT56MoihagPEOHN4T79QKU58+fdi/f7/WRqee5eRdgVIUhc2bN2stdBaLRWu9A7RwlpGR4RN8vLlcLu2A3toBSV1nYmIie/bsoaamhqqqKpKTk+vdQ+V939rtfk2NhCchhBBCCCG81K44vfbaa/zyl7+sc93AgQP55ptv6NSpE23atKFly5Z06tSJ1q1b07lzZ7p27YrZbMZqtRIWFsbixYsxm81aFSYoKIjNmzezdu3aOvdWKz+A3/Oe1D1LaWlpWmueGrS832MwGFi0aBGRkZFYrVbi4uJITk7G6XTWe2Ct9wG96plMFRUVzJw5E4fDoV2jjjEPCgq66h4q7/uWlJSQnJzcZAOUhCchhBBCCCGov+LkLzipunTpQkFBAYmJiVy+fBm73U7Hjh05deoU+/bt47333sNms5GVlcULL7zgExrcbjdFRUW43e4691Vb46xWq0/7m/o9dc+S2WxGr9dz4sQJ3n//fYKCguq8x7uilZKSQmlpKZ988km9B9Z6tw9arVbGjBlDQUEBO3fuZN68edo1YWFhDBgwoM4eqvoqTN5VMBkYIYQQQgghRBPlb6LetYKTymAw8Oqrr3Lq1ClqampYtmwZbrebwsJC/vWvf7Ft2zY+//xzzp075xMagoOD6dKlC8HBwXUCR+0Wvtpjvr33F1ksFrZs2ULLli3Zv38/QL1jwdVBFCtWrKj3wFrvZ6t/vueee6ioqODOO+/UrtHr9VRUVJCTk+MT1moPs1DXb7PZtAEUTXVgREBjL0AIIYQQQojG9EOCk8pgMPDiiy+yePFiBg8ezMmTJ7XR4R6Ph7CwMNq0aeMTGtTgoigKK1euZPv27VRVVTFt2jSfe6tjvgsLC+nYsSNr1qwhPj6ezMxMLbQsW7aMp556iujoaGw2G1u2bOHw4cM0b94cnU6n3VMdRAFXqmYNZTKZGDRoEK1atdJes1gs2qG53mq/rq5fpSgKNpsNq9Xa5AZHSHgSQgghhBC3LX/Bybuqcz1++ctfUlxczOnTpzl58iQXL17k7rvvxmg0YjQamT9/fp2wsHv3bqKiovj2229p1qyZ9myHw0FKSgppaWlYLBbKy8sJCLjyT/cRI0ZQXFzMc889p91n+/btREZGsmPHDlq2bMnQoUMJCAigsrKSvLw8Jk6c+IOCSkJCArt372bcuHE+r/v7WanVKvj38ImhQ4ei1+tRFEULUsHBwdp1TYW07QkhhBBCiNuWv4rT96UOZ2jdujWXL1/mwoUL7Nu3j6CgICoqKpg7dy4ul8tnkp46aGHBggWMGDECuBI41L1J8+bNIyMjgz179tC7d28eeOABunbtSmpqqs+ocfUcJaPRSHR0NCaTifT0dM6dO0f79u1/8JCG2ofgQt32PLgS+moPlqisrMRkMjFt2jSsVisjR45ssmc9SXgSQgghhBC3pddff93na0VRrqtVzx+DwcCCBQvQ6/UEBQWh0+moqqpi9+7dfPHFF6xdu1YbE+7xeOoMfqioqMBmsxEdHU1ZWRl33nknW7ZsobKykuLiYm0YRHZ2dp19Rbt372bu3LnanqLs7Gzi4+PJz8/XhjR833HhtQ+99X4tNjZWC0xq6EtNTa3zPvXgXavV2mTPepLwJIQQQgghbju12/V+SMWpto8++giDwUB1dTV33XUXQUFBtG3blnPnzuHxeLSJfsHBwT6H1apBAyAvL4+jR4+ye/duhg4dSnx8vDbNDmDo0KFkZWURGxsLoIWWhQsXaq1wbreb8PBw1qxZowUqf9Wihqh96K36WmJiIjNmzODYsWOkpqZqAynU8OT9vqudLdVUSHgSQgghhBC3ndrB6YdWnLxVVVVRWlpK69at+frrr/F4POj1eu655x5tlPiYMWOYOHGiT5hRg4bVasXpdFJTU8N3332ntbx5B5f09HSMRiMLFy4EqBNavM9qMpvNPoHKZDIRFxf3vQ+sVVvzCgsLSU5O5u6772bv3r08++yz2kAKs9lc531qaKw9Dr4pkfAkhBBCCCFuazcyOLlcLvbs2UP//v25dOkSXbt2Zc2aNbRr1047MBeutAiqwxRqhxmDwcC6deuIj4/n5z//ud+9QXPmzKGiooLZs2cDvlP0Zs6cydChQwkKCiI3N1fbf2Sz2cjNzcXj8ZCSkkJJSclVK1D1tfilpKRw7Ngxxo0bR0REBNnZ2dxzzz28+eabV20L9A6NTZWEJyGEEEIIcVvx3ut0I9v14ErFJzo6mmPHjtG/f39ycnK4dOmSViUyGAzY7XZKSkp4/PHH+fTTTwHq7GEym828/fbbPPPMM1rFyTuYbN++nYSEBPLy8nxe927f+/LLL3E6nVo1SlEUqqqqeO211wgLC6O4uPiqQxvqa/FLS0ujsrJS+5wbNmygU6dOpKamaq15K1eurBOi/LX+NTUSnoQQQgghxG2j9l6nG111UitJEydO5MiRI8TFxdG9e3ceeOABLTRYLBaKiooICwvj2LFjuN1u7X3qYAXv4KEeMjtr1iytVW7o0KEcPHiQuLg4n71EaWlphIeH07dvX+bMmePTyjdp0iTOnj1Lhw4dsNvtpKamXjXIqHuwarf4mc1mJk+eTEhICJcvX8ZgMBAbG4vBYKCqqorDhw+TkZFRb2Wr9kS+pkTCkxBCCCGEuG38WEMi4N/7jPbt28cnn3zC5cuX+eMf/0jPnj19WtUMBgNpaWm0bt2apKQk9Hq9tj8JYNasWWzYsIG1a9dq91Un7m3dupWoqCjS09O10eHee4nMZjNDhgxh69atLFiwQKt2rVq1CoCMjAwAJk6c6DN23B+1UlS7KgZXgpjBYKCyspI5c+awceNG1q5di8fjoaioiFatWtVb2ao9ka8pkfAkhBBCCCFuC7Xb9W5k1Qn+XalJS0vj0UcfpbCwkGbNmvHnP//Z50wmuNKm17dvX1q1aoXVasVoNFJWVsasWbM4f/48x44d0w6gVc9wio+P1ybnqRWmxMTEOnuJ3G43n3/+OXv27GHWrFnYbDYt/JjNZtavX0/Xrl3rbdnzrgx5V9PU69WR4zExMdrBveoBv3v37kWv13Pu3DkGDBjg9/61h1s0JRKehBBCCCHEbeHHatdTFRUVsWDBAk6fPk14eDjPPvssQUFB/Od//ieFhYWMHz9ea1WzWCxaYLLZbJSXl/PKK6+wY8cOvvzySx599FFtuITBYGD69OnaxD1FUXz2D9XeSxQcHExYWBhlZWVUVlYC+JzRdK29R96VIbWapiiKFgDVvVB6vZ4xY8aQnp7OQw89hNVqZdCgQXTs2JHo6GgqKip8qlXe7YhqMGxqdEpTXfkPUF5eTqtWrSgrK8NkMjX2coQQQgghxE/AaDRSWVmJ0WikvLz8ht+/T58+nD17ljZt2vCrX/2KZs2aadWgsWPHUlZWxr333svbb78NwPLly1m+fDkREREcOHCAyspKysvL6dq1K/369SMkJIS0tDSfsd+rVq3C6XRiNBrR6/VYLBYA3n33XQoKCliwYAEGgwGbzUZFRQUHDhxg/vz5fkeH18fhcJCamqpVhlJSUrjrrruoqqrCaDSiKIr22WoHMJfLRWZmJnFxceTk5JCYmKhdo649KysLo9FIRESENiGwMV1PNpDKkxBCCCGEuOWtX79eq8K43e4f5RnvvvsuzZs3x2q1anuYHA4HY8eOJTQ0FL1eT0xMjFaBKSkp4fDhw+zdu5fx48fTvXt3XnrpJQYOHAjgd1+Q90G6TqcTm81GcnIyK1eu5B//+Afz5s3TKlVhYWH06dOHnJycq44Qr837rKbs7Gx69uyJXq/Xnqt+Nn+VK7WqpZ4t5X2NuvZly5ZJ254QQgghhBA3owMHDvjs7/nrX//6ozzn4MGDJCcn06FDB61NbsaMGRw5coQvvviCmJgYpkyZorW9rV69GpfLRU1NDWfPnmXy5MlMmzaNYcOGMXv2bCorK5k9e7YWfBwOB3a7ncTERBISEjh48CAej4eoqCj0ej3t2rUjJiZGW48aVhITE33Gjl9PkIqPj+fgwYMkJCRoB/h6twBeDzVYdenSpd6DdG92Ep6EEEIIIcQtbeTIkdqfO3bsyIQJE274MxwOB1u2bEFRFDwej7aX6Y9//CMtW7Zk0qRJVFVV4XK5tFDz1FNP0b59e4YMGUJ1dTU5OTnMmzePkpISnn/+eeLi4sjLy9OCT0pKilZtSklJ0UJTZGQkf/vb3/jlL3/JlClTfNblPXTCX5DyxztcqZUndTKfwWCgR48e9OjRg127dvlcv3btWvR6PevXr6/3fk2d7HmSPU9CCCGEELesTz75hIceekj7ev/+/fTp0+eGP2fGjBkUFBTQokULLl26RHV1NUFBQfTu3Zu+ffuSmZlJRUUFMTExLFmyBLvdTnx8PDk5ObjdbnJycjh27BhJSUl8+eWXREREaIfdAmRmZhIbG0t6ejp33XUXZ86cYevWraxZs6beCo66xyg8PJykpCRcLhcZGRlUVVURHBzsd89S7fclJiaSmZnps3epQ4cOVFRUYDKZOH78uHZ9cnIyly9fJjAwEI/HU+86bjay50kIIYQQQtz2xo4d6xOcAFq0aPGjPCsmJobg4GA6depE586dCQwM5PLly/Tp04fw8HAeeughKioquPPOO7XKT05OjtYKFxcXx+TJk9Hr9aSlpdG1a1ctONntduLi4khPT9eqTSdOnCAuLo6//OUvdOjQgV27dmkVngMHDjB69Gj69+/v02KnnheVl5dX754l8K1SeU/mU++fkpJCZWUl8+fPB/7d2rd8+XICAwNZt26dz/3U78fFxf0oP/ufkoQnIYQQQghxS0lOTkan0/Hxxx/X+d732atzLS6Xi6CgIKZPn87ixYsZN24cjz32GM2aXfmntqIomEwmBg8ejMlkYujQoWRlZREbG6tVgwCCgoKoqKjQQpXBYMBut1NSUsLjjz/O6dOnOXz4MFarlUWLFhEZGcnSpUs5e/YsEyZM0ELZ448/jsPh4LnnntPa9goLC1m2bBl9+/Zl1KhRV/051DfKXL3/r3/9a1q2bMm8efMAtNa+gIAAPB5PnbbIjz76iIqKCrKysm7Uj7zRSHgSQgghhBC3jLCwMP73f/+33u/v27ePt95664Y+0/sspOzsbBITEzGZTHTp0oWvvvpKOxNJPQspPT0do9HIwoULtWpQbm4uHo+H/fv3U1ZWpu0PslgsfPXVVxw9epTvvvtOe6YacJ555hkCAwOJjY0lPj6e8PBw1q1bR7t27Rg/fry2tykpKYldu3aRmZlJUFDQ9/qcakVq/fr1mEwm7Ha7z+v1BTKdTufze1Mm4UkIIYQQQjR5EyZMQKfTcebMmTrfq70n6Be/+MUNfbballZeXs7GjRtZu3YtVquVMWPGMH/+fO1cqdzcXFwuF2lpaURERDB79mzcbjdDhw5l1KhR6PV63G43eXl52Gw23nzzTWbNmkVNTQ0mk4kLFy5QUVGBzWbTnv1f//VfJCUl0a9fP1JSUoiLi6OgoID169eTlJSktctdvnyZmpoanE7nVYdF1Ec9HDcxMZFhw4Zx/PhxbaS6v9Y+7+EQ6s9CPfOqKZPwJIQQQgghmrQJEybw0Ucf1Xk9MzMTRVE4deoUp06d+tGer7al7d27l2bNmqEoik+g2L17N2vXrqWgoIDU1FQMBgOxsbFs3ryZyspKTCYT06ZNw2q1MnLkSEaNGgXAmjVrKCgo0CpLTz75JMeOHfMZxmAwGJgzZw42m43Q0FBSUlIoKSlh1qxZzJ49m3PnzpGVlcXjjz9O586dmTFjxjVHjfsLQA0dde5vkl/tNsCmPH1PwpMQQgghhGiS1GpT7eA0fvx4FEXx2XtjNptp1aqV9vWiRYtu2DqqqqooLCzknnvu0VrzCgsLGT16NG+99RZRUVF069YNk8nE7NmzsdlsbNy4kaqqKp8gox5uqwappKQkBgwYQEpKCrGxsZhMJrp27Yperwdg5cqV6HQ6evXqhclk4m9/+xs9evTg8OHDVFZW8vXXX7Nnzx48Hg+/+MUv+PWvf+0zCKI+/gJQQ0edX6uFr777NxUSnoQQQgghRJNTX7Vp/Pjxdc4ZUqlnFQHMnj37hgSowsJCXn31VdxuNzqdDkVRcLlcjBs3jtLSUj766CMiIyMZNWoUEyZMIC8vD0VRaNasGUFBQX4HM6gtclOnTmXx4sWkp6dTUlKCXq9nxIgR2jVPPfUUcCW8ff755xiNRnbs2EH//v1p2bIl0dHR2qG5GRkZ5Ofna6HF4XAwc+ZMHA5Hnc/kLwCp1SMAt9uNyWTyG5DqGzZxrfs3FRKehBBCCCFEk3GtalN9wQlg4MCB2vhvuDEBasaMGVRWVlJSUsL+/fu1w2wfeeQRmjVrxhtvvIGiKCQkJBAeHk5sbCyfffYZ9913H1ar1e89vSszdrudiIgIcnJySEhIQK/XU1FRQWZmJu+88w4AwcHBPPzww3Tr1g2j0Yheryc6OpqQkBDi4+PR6/Vs2bKFyspKiouLSUxMJCUlhWPHjvHEE0/UaZ8zGAxahcn7ey6Xi+TkZM6cOXPVUefqtfW15jUkYN2s5JBcOSRXCCGEEKJJCAsL8zsQ4mrVJn8WLVrE7Nmzta9/yD+HCwsLmTp1Ku3bt6d///4cOXKEuXPnkpeX59PipoaanJwc9u/f73NYrsViAa5Uh3Q6HQkJCeTk5GiVmeTkZKKioggLC9OqVuoBty6Xi8zMTOLi4vy+JzIyksTERGw2GzqdTnufw+HgiSeeYPjw4XTt2rXO4bX+DrZdtWoVJSUlFBcXs3DhwquGH38H9Kqf9WYLTXJIrhBCCCGEuGXUN0kvNDT0mtUmf5KTk3n44Ye1r79v9Wnbtm3ExMQwZMgQjh8/zocffshXX31Fbm6uVllRW9QAnE4nOp2O4OBg+vfv71NhysjI4J133iEnJ8fnnCeDwaCd6QRQWVlZp+pTe0CF93vU/U3qXiq4EmwMBgPr16+na9euftvn/B1sa7FYiIyMvGZw8vf+przPyZuEJyGEEEIIcdMKCwur06Knhian0/m97+t9gO73ad/btm0bw4cPp7KykjfeeINLly5RVVXF/v37KSwsZNWqVWzbto0ePXrQo0cPrFYrRUVFrFq1Cr1ez86dOxk6dKi290en09GxY0dCQkJwu90+7W5qMLJarYSHhxMXF6e1xNU3Bc97j5J3+1xGRgabNm3CZrNdtX1OPfjWe58YNLxKV/tg3Ka8z8mbhCchhBBCCHHTqa/apB78+kN5730CfNr4rmd9NTU1hIaGUl1dTWlpKTqdjhUrVuB0OpkwYQLl5eU8+OCDAPz5z3/m0qVL5Obm8uWXX7Jw4UKttS8hIYGEhAQGDhzI5s2bee+991i2bBnLly/Xgo8adrKzs7XAZLFYMBqNuN1ubDYbTqcTm83mN1xBww+s9Rd27HY7JSUlJCcnU1hYWO/ACfj3BMKqqiqftd9sLXvXS8KTEEIIIYS46dRXbbreFr36JCcn16mi6HS6Blegfv/736MoCtHR0Vy+fJnjx48zdOhQIiIiyMzMJCgoiAceeIDmzZszdepUMjMzWbduHQEBAYwcOZJevXrRt29fLfBkZWVp62nWrBk7duxg2bJlLFu2jLVr1/o82zvYGAwGbYgE4NMiqIYr7xDU0ANrvcOOOna9f//+FBUVERUVxYwZMygtLWXevHl1Qh6AXq+nS5cu2lj1W4UMjJCBEUIIIYQQNw1/I8ivdyDE9ag9PAKu3ZqmtuwFBATQokULYmJiiIiI4O677yYsLEybbqcOTBgxYoQWdJYtW8aWLVsIDg4mOjqar776iqCgIPr3709VVRVGo5Hg4GDKysp47733uHTpEv369ePVV18F8Dt0QR0aoT6j9tc/hMvlYtCgQSiKQkREBOvXryczM5PY2FgWLFhAdXU1brebgIAAxowZo1XS4uPjtQEWN3u16XqyQcBPtCYhhBBCCCGuyt80vR8zOMGVChT4tu3pdDoWLlyofa8275a9rKwshg0bpgUWt9uN0+kkJiaG/fv3k5qaitls1t5bUVHB9u3bCQ0N5eDBg7Rr145Lly4BcPDgQebMmcP27dt59NFH0ev1fPbZZ3Tv3h2bzUZ+fj6VlZV4PB6mT58O4HeKnTpq/N1336WgoIAFCxb4rOF62O12HnnkEex2O2+//bbPXqrhw4dTUlLC4cOHue+++7RnrlmzhvLycp555pk6a1TveTNO3WsIadsTQgghhBCN6mr7m37M4KRKTk72uwdq7Nixda7dtm0bVVVVGAwGtm7dyrBhw3A4HCQnJxMXF6cNdZg6dSpLly4FrpwFtXTpUlwuFwcOHKCiooLCwkJKS0tp2bIlQ4cOZceOHZw7d4758+drbXx6vZ758+cTFhamHXC7Z88ePB6PNhxCbfurPcXObrezZs0aCgoKSE1N1V6/2vlL/lgsFnr16sWOHTvo0qVLne+FhYUxZMgQbQR6QUEBbrebvXv3+qzF+9yqpjx1T8KTEEIIIYRoNP7a9G70/qaG8BegPv744zr7oCZMmMClS5cIDAxk2LBhAKSkpFBaWkpqamqdwQgpKSkUFBSwevVqMjMzWbBgAQ8++CChoaH07duXYcOGYTQa8Xg8HDt2jAEDBvjsW8rJydEOvS0rKyMmJga9Xo/NZmPjxo1UVVX5nWJnsVhISkpiwIABWnhSD7ktKSlpcHipb2qf+j29Xo/T6SQ5ORmXy8WCBQuIiYmhd+/e2j4o77Hl3gMuGhrgbiYSnoQQQgghRKOob3/TjZim932oQyS8z4AC31Hmf/nLX6ipqeHPf/6z9v20tDQiIiKYPXt2neEJaWlpxMTEkJSURGJiImazmZEjRxITE0N4eDgTJ07EYrEQFxfH9OnTmTJlis9Y8sTERO18pbVr15KQkIDVasXtdlNUVITb7UZRlDoVJYPBwDPPPMNbb72ltezZ7XaioqIoLi6+7pHh9VWM4uPjyc7O1gZlmM1mhg8fzueff05ubi42m42UlBSioqLIycnxGXDRFKtPEp6EEEIIIcRP7qceDHE9/v73v/tt49PpdDzxxBMEBgby2muvad8zm80sXLiQ9PR0Pv30U3JycrRKjNlsZsmSJT6DCHQ6HQEBAdx3333aobbqIbYul4uZM2ficrm0io/dbteCl1rVCg4OpkuXLnz11Vc4nU7mzp2rnd9UX2ue2mY3YMCA6/6Z+Btd7nA4mDRpErGxsZSWlmrfs1gsxMbGEhISgsfjqRPY/B3A21RIeBJCCCGEED8ZdX9T7eD0U7fpXYu/Nj6Ay5cv43a7fV5zuVzMmjWL06dPExwcjNFoJCoqSju4tnarXO1x4d5hx7sFEPB7CK7D4UBRFEaNGsX8+fMxGo3U1NRQU1ODTqfzOQjXe412ux24MrTC+yyohvB3TlNKSgohISHk5+ezcOFCn4EVJpOJPn36oNfriYyM9Pl+fQfwNgUSnoQQQgghxE+mdmiCKxWnm5HaxucvRL311lvan+12O5WVlZSWljJs2DCWLFlCZGSkNra7duWl9j4i76EPagugGp78HYI7d+5ccnNzgStVL71eT+/evWnbti0TJ070exCuGsIAjEYj+fn59e59auhQibS0NDp16sSaNWu0YKS+Nz4+nvDwcKxWq/ZzcLlcuFwuysrKOHDggFSehBBCCCGE8EetOHkbP378TVdx8ic5OZlTp04xfPhwAAIDA32qOhaLhWHDhnHnnXcyePBgbfKewWDQ9it5V15cLhfLli1j1qxZlJSUAGgByWAwsHTpUm2fkr9DcGNiYmjWrJl2HlXtZ/g7CFdtu0tISGD37t20b9+e7OxsvwGmoRPxzGazz1q93+t96K93Jcxut/PPf/6Tr776ig0bNlzXf4ebgYQnIYQQQgjxo7qZ9zc1lNlsZsuWLbRq1QpFUXjjjTe073m3qT3//PM+bXf+2t0yMjJ45513OH/+PMXFxVitVp8hCrUrP2r1CSAxMZFHH32Uli1bkpCQ4PMMuFLJAuo8U71GHe7w4YcfEhsbS0pKit+9UbX3N/mrRvl7TV2rd2XLuxJmsVho2bIlHTt2vOZhxDcjCU9CCCGEEOJHcysEJ2///d//TU1NDfPmzdNec7lcuN1uTCYTr732GufPnyc6OlprU1u1ahWFhYXMnDkTh8OBTqcjPDycL7/8kujoaMA3sPjbs7R7926tGlTfniF/76vNYrFw4sQJHnnkET788ENtSl5ttYONv2qU+pr3/im1UhYdHa21KnpXwgwGA6+++qo2NbCpkfAkhBBCCCF+FGFhYbdUcIIrQxKaN29OSkqK9prdbufMmTPs2rWLrVu3UlVVxY4dO3wOhZ0xY4ZWkbJarVRUVBAQEMCf/vQnVq5c6VOh8q7UqAMnwsLCtDY7731QDodDCy7+9jo5HA4ttMGVCtSiRYtwOp1YrVafKXnen6f2kIqhQ4fWmZCnBj7AJ1jVnupXu/rmrxrXVEh4EkIIIYQQN9yECRM4c+aM9nVT2d90LR9++CEAly5d4pNPPgFg6NChvPfee4SGhrJnzx46d+6M0WgkMTFRG8v92muvaYMgDAYDGRkZXL58mXbt2lFQUAD8uw0uISFBq9SoAyfy8/OJj48nKyvLZ2peSkqKFlzUCs+4cePqnd4HV8JLWloaJ06c0NbjTQ1FcXFx2qTA9PR0evbsSVZWlk+VKSkpiYSEBJ9g1dTPcroaCU9CCCGEEOKGql1xCg0NbfKhSfXggw+i1+vxeDw89NBDfPLJJ6Snp9OlSxc+++wz5s2bR+vWrZk/fz4Gg4GPPvqIiooKtm7dSmxsrBZUzGYzW7duZejQocyfP1+rMBUWFpKSkkJiYqLPwIk1a9YQGRmJx+Nh06ZNeDwewsPDSUtL09r9vPc11Te9T5WVlUV5ebnfoQ3e91EnBarPAeq07/lrI/S3b+pWIOFJCCGEEELcMP4qTuqI7FuFWn0CeOihh9izZw+nT59m7NixbNy40SeUVFRUsGPHDrZu3crGjRtZu3at9l7vaXVqhWnr1q3aGVHw7yCjHpCr1+upqalh586d2nQ+7xY4df+VXq/3O71PvSY/P59Lly5ddWiD9xQ/9flWq7VOKPIXlGoPsWjoeVI3OwlPQgghhBDihriVK07e1OqTav/+/RQUFLB161b27NlDs2bNcLvdrFq1ir1792IwGNi7d+9Vw0rtClN9k+4SEhI4ffo0lZWV5Obm1mmLU8+c2rdvX522OfU+NpuNzp0743Q6tYl9/hgMBp8zmtTX6pvk528PU0PHnjcVEp6EEEIIIcQPdjtUnLx5h8ILFy4QEBDAZ599Rp8+fRg5ciR6vR6n08k999xDdXU1EyZMoG3bttqEOe9A5HK5sNvtWutd7YDlPUUvOzub+Ph42rRpw6hRo+q0xalVIO92PpX3QbknTpwgLi6uzsQ+lXoW1bPPPsuGDRt8KmbXw3u4xa1QfbopwtPSpUvp0qULwcHBDBgwgH/+859XvX716tX069ePFi1a0L59e5566imf/7EKIYQQQoifTu1x5Ldqxcnbgw8+yNatW9HpdAQGBnLx4kVCQ0P54IMPALT2NpPJxJQpUzh37pw2fQ58x3yre52Sk5NZuXIlmzZtYuXKlX6n6KkVqiVLljBt2rQ61Z7abX4Gg4HCwkJGjBjB8ePHMZlMWK1W0tLSKCoq8ntIrrq+LVu28M0331BUVEReXp422c97wh9c+wwo7zHrTV2jh6e1a9fywgsvMG/ePAoKCnjggQcYM2YMR48e9Xv9v/71L6ZMmcL06dM5cOAAf/3rX9m1axczZsz4iVcuhBBCCCFqt+rd6hUnb8OGDePLL78kJCSEVq1acfHiRS5duoTb7QaunJU0atQoioqK6N+/v08bnfeYb++9Tjt37qSwsFD7ffz48YwaNcrnnKTae5xqB5raYWbGjBkcOXKEZcuWsWvXLuDqAyPU9Y0cOZKpU6dy1113ER0drU32857wB1eCVklJCcnJydoz1XCYkpKiDZ24FYZH6JRGPtp38ODBxMTE8Oc//1l7rXfv3iQmJvLyyy/XuX7RokX8+c9/5siRI9prr7/+Ounp6Rw7dqxBzywvL6dVq1aUlZVhMpl++IcQQgghhLgN1a44NfUznL6vxx9/nI8//hiz2cygQYOIj48nKCgIp9PJwYMH6dmzJ0ajkeDgYK01D64En4yMDJo1a8a4cePIycmhrKyM/Px87rvvPv72t78REhJCp06dWLp0qdbeFx8fT3Z2NhaLRQsp6nPCw8NRFAWn04nRaESv19O/f3+ee+45IiIiuPvuu4mMjOTixYv84x//0A6t9a5gqc+xWCwYDAZcLheZmZlam5/6u/pZHA4HkyZNYsSIEXTt2pWkpCTtPbGxscyfP5+YmBimTp16U57tdD3ZoFErT1VVVXz++efEx8f7vB4fH09eXp7f98TGxnL8+HE+/vhjFEXh1KlTfPDBB4wdO7be53g8HsrLy31+CSGEEEKI7+92bNWrT4sWLQgODuby5csEBwfjdrs5ffo0Bw4cYM6cOYSHh2O1WusMVVAP183LyyMrK4vExESmTp3KQw89xNSpU1m2bBkXL17k2WefZdWqVaxcuZKsrCwef/xxSkpKyMzM1M6Reu6559i/fz9lZWXagbYejwen08nevXvJzc3lrbfe0oZRTJo0idatWxMdHe136IR3Zal2K6D6O1yZpPfBBx8QFhbGsWPHtOqS+p5//OMffP3112zbtk3a9n4op9PJpUuXaNeunc/r7dq14+TJk37fExsby+rVq5k4cSJBQUHccccdtG7dmtdff73e57z88su0atVK+9WxY8cb+jmEEEIIIW4n/ipOt0urnj/p6en07duXTp06sWbNGjIzM/nggw+4ePEieXl59U6iUytITqeTFStWYLPZfNrytm/fTkJCAm+88QZOp5M9e/ZQXFyMy+Xi66+/xu12k5WVRc+ePXnjjTdwu93k5eVpB9rq9XrtsNtVq1YBaPc2GAwsWrSozmQ/aPgZTWrI2rNnD0FBQQwePLjO59TpdHTs2BGTyaTdz98eqaai0fc8AdomOJWiKHVeU3311Vc8//zz/O53v+Pzzz9n06ZNFBYW8p//+Z/13v+ll16irKxM+9XQ9j4hhBBCCOGrdnACbtuKk8psNvP3v/+dzz//HEVR+Ne//sXkyZN9puHVDgwul4uUlBRGjBjB+fPn6dixY51//9aenLdgwQL69u1Lt27dCAwMpKKiAoDw8HCee+45jh8/zoABA0hLS8NoNAKQmJjoc2iut6uNGG/Izh51fQsWLOChhx7SJgl6f96EhAQSEhJYvHgxgDYqvakOkGjU8BQWFkbz5s3rVJkcDkedapTq5ZdfZujQocyePZu7776bBx98kKVLl7JixQpKS0v9vkev12MymXx+CSGEEEKI6+MvOI0fP76RVnNzMRgMfPjhhwQGBvLcc88xZcoUn2l43q1wLpeLWbNmcfr0aY4ePcq6detISEhg4sSJwL+DB1Bnct6QIUOIj49n/vz5Pu2Ab7zxBq1bt+bbb7/FbDaj1+u1ARVqa586Wc/hcDBjxgxtH1VtDT2byd9kv9r3yMnJ0Vr8kpOTKSkpAWhQZetm1KjhKSgoiAEDBtSZL5+Tk0NsbKzf91y4cIFmzXyX3bx5c6BhCVkIIYQQQnw/tVv1FEW57atO3k6fPs0jjzzC0aNHtclzDoeDmTNn0r9/fy3AqAfZlpaWct9999XZQ2Sz2epMr4N/H4Cr1+vrBJY5c+ZQUVHB7NmzAd/Wu48++oiKigqysrIASElJYffu3SxZssTv+U3e7/2+LXa1W/9sNhtnz57lyJEjfvd/NRWN3rb3q1/9imXLlrFixQq+/vprXnzxRY4ePaq14b300ktMmTJFuz4hIYEPP/yQP//5z3z33Xds376d559/nkGDBhEREdFYH0MIIYQQ4pY1YcKEOi1lEprqUsd7G41GwsLCGD9+PHPmzOHYsWM8/vjjREVFkZOTg8ViIS4ujsmTJ6MoSp3x3gBFRUVERUX5VH+uthdJ3R+Vl5dX59Bd73OiANLS0mjTpg1333233+KDWlGCf1eLrrfFrnZLoKIoNGvWjMuXL1/XfW42jR6eJk6cyJIlS/j973/PPffcw7Zt2/j444/p3LkzAKWlpT5nPj355JO88sorvPHGG/Tt25fHHnuMnj178uGHHzbWRxBCCCGEuKVJq17DGAwGpk+fzvz58/nggw9wOp1UV1fjdrt55JFHtLOO1OuMRqPfs5+sVmu9wxzq67RSW/Puuecexo8fT2FhoXZfq9WqnRMFV/ZobdiwAYvF4rNPqTabzYbD4WDTpk31HqZbH++KlcvlwuPxUFpaSufOnZvkXidVo4cngGeeeYaioiI8Hg+ff/45w4YN07737rvvsmXLFp/rf/nLX3LgwAEuXLjAiRMnWLVqFR06dPiJVy2EEEIIceubMGGCz9e361lO1yM7O5uePXty6tQp7r33XtasWYPT6SQ1NdWnVa12e5x3tQjQqlJqCPHei6S2AzocDp9nPv/884SEhLB169Z67wtXHxahUhSFkydP0q5duzrbbGqr3d7nvVa73U5+fj533HEHpaWlTXKvk6rRD8ltDHJIrhBCCCHEtckhuN+Py+XimWee4eDBg0ycOJFDhw4RFhZGXl4eGRkZGAwG7RBauBI0ysvL2b59O6NHj2batGmsWrWqzuG3iYmJ2mG1kyZNIiQkhPbt2zN8+HDi4+O1uQELFy4kNTUVs9ms3Sc8PFxrxVPX6H0Qbn2fw2azodPpmDhxYp3r1EN+1XbAiooK7WBedT3ee56qqqoICgrCarXeVPudricbSHiS8CSEEEII4Zf3PicJTtdn+fLl5ObmEhAQgNvt5osvvqBbt2506tSJmJgYtmzZwsiRI9Hr9TidTvbv34/H42HEiBFMnz4dl8ulBaWsrCw8Hg9wZYq0x+Nh8+bNnDlzhscee4yKigqKiopYtGiR34CTmZlZp/JUX6iqTQ1Z6plU3mFr1apVbNq0CYABAwawYcMGxo0bh06n83vfhj7zp3Y92eCmaNsTQgghhBA3l9rtehKcro+6z6hfv34cO3aMJ598kk6dOpGamuozwEHdqzRv3jztrCTvVjuz2QzAe++9xyuvvMLGjRtZt24dAQEB/PznP2fq1Kl+h0uoarfnqe118fHx13UQbkpKSp3x5eqAjFGjRnHgwAGMRiNfffVVvfdt6OG7NzMJT0IIIYQQwoe/dj1xfQwGAz169CAtLQ2TyUR4eDhLly7FbDZrwWrkyJFMmjSJiIgINm/erA2DsNvtHDx4kHvvvZfFixdrVac2bdrgdDoZPXo0bdu21Vrp1OEScXFx1xwrXvv8pWu1z9U+qNc7+KiDLyZOnEj//v0xm83Mnz//qvdt6k1v0rYnbXtCCCGEEBrZ53TjdOjQgfLycgICAli0aFGdvT4zZ87k2LFjuFwuunXrRnR0tDZhb9CgQZw/fx6DwcCvf/1r4Eqlaty4cdrepvT0dNLS0rTqVEPa4upr4/shrvVcdW/UZ599pn1GadsTQgghhBBNngSnGyczMxOj0cioUaM4ceKEduit2jo3Z84cOnXqxGOPPUZ0dDTFxcXaIbrr1q2jR48ezJw5k4SEBPR6PRMnTtQOx50/fz47d+7kv//7v7XnWSwWjEYjbre73upTQ6bsXS+19bC+ceZ2u50tW7bgdDp57733iI2NvWHP/qlJeBJCCCGEEIDsc7rRBg4cyP/8z/8QEBDA5s2btX1Jauvcxo0bURSFMWPGEBYWRnR0NImJiSxevJiFCxeyYcMGXnzxRbKzsykpKSE5ORmHw8GqVavo3r07FRUV9O7dW3uewWBAr9drZ0fVHmcOdUeKfx+1z3CaO3cu586dY8OGDX7vr+6NOn/+PF26dGHhwoXf+9mNTcKTEEIIIYSQfU4/EkVRCAoK4rHHHtNa8tR9RNu3b2fTpk2kpaWh1+v54IMPOHToEIcOHeKrr77SKlUWi0UbCjF37lw2btzIN998w6BBg2jVqpXP87yHMsydO5edO3cyb9487fve5y811LXOcKqsrOTYsWMoikJGRgabNm3CZrNp71f3Rq1bt04bmtFUSXgSQgghhBDSrvcjmTRpEg899BCPPvqoz7AE9c+XL1/m22+/5fjx4yiKwv3330+fPn1o1qwZp0+f1kLIgAEDMJlMVFdXc+nSJfr164fRaGTcuHG4XC6WLVvG8uXLAbS2vJiYGIKDg+nfv/91T9nzVjtwebfpWSwW4uLimD59Olar1WeSYG1ms1kbmtFUycAIGRghhBBCiNtc7arTbfjPwx/d8uXL2bx5M6NHjyYoKAin00lQUBAffvghrVu3Zt++fbRo0YLq6mruuusuioqKaN68OZMnT2bfvn1ERESwZcsWRowYQWlpKQMGDKCiooLw8HAURdHOWxozZow2jMF7OIQagL7PGUu1h0xcbUCEv4EUDTmQtzHJIbnXIOFJCCGEEOIKma7303jzzTdZs2YNSUlJTJ06VQsYADabjYqKCj788ENMJhNlZWU88sgjtGrVCkVROHHiBGvWrKFnz56Eh4ezZMkSgDr30Ol0TJw4EaBOWLkRU/bUqXlVVVUEBwdro9Kv5WY9HFd1Pdkg4CdakxBCCCGEuMlIcPrpeLexuVwu/vWvfxEXF4fZbGb69OkAGI1GVqxYQceOHTGZTFy+fJmqqiqOHDmC0WjkxIkThIeHA/+emqdS7+FyuUhOTiYqKgqbzYZer8disQANryjWVylSp+bV1NTQpk0bLahdi8Vi8Ql6TZnseRJCCCGEuE1JcPrpBAUF0bVrV8rLy+nfvz+HDx+uMzjBarUybdo0hg8fTn5+Pp9++inbtm3jyJEjAAQEBFBRUcHatWt93qfuZ3I4HCQnJxMREUFxcTGAz2AH731LV5u6V99Qifj4eIKDgwkODtYmB9bHe9LfjzEevbFIeBJCCCGEuA3JWPKf1qRJkzCZTLz00ktUVlaye/dunn32WS30LFu2DJvNhtVqxWg0Eh0djdFoxGg00q5dOwIDA4mOjiYwMLBOBUkNOykpKURFRVFaWkpqaiqKomAymXwm/KnVn6tN3avvvKiPPvoIt9vNoEGDtMmB4D+IpaSkaOu4EePRbxay50n2PAkhhBDiNiPteo0jICCAS5cuAdCvXz9at27NmDFjKCoqoqKiAoCRI0eiKArNmjXT2uLU/Uzjxo0jJyenzr4ldT9TXFyc9n01HBmNRq11z9976tsD5b1PSb1feXk5eXl5jBo1imnTpl312qFDh7Jw4UJSU1PJzs6+ZfY8SeVJCCGEEOI2I8GpcaxevRq4EqKcTictW7YkOzubOXPmEBsbS0hICB6Ph8rKSvR6vRZq9Hq9NpzBX91DbYszm81ae5xaaQL8Vpiu1UrnXalSg5her2fMmDFaqFNHpJeXl2sVLvXazZs3Exsb67OWW2HPk1SepPIkhBBCiNuIjCVvXB06dMDpdHLp0iW6d+9OUlISERER5OfnU1lZyeDBgzl06BBpaWmYzWZWrVpFSUkJRUVF9OjRgw8++ECb2NeQ8d/eFSaoO4WvIeqrUq1atarOiHSXy4XNZuOf//wnbreb+Ph4nyrVzUgqT0IIIYQQwq/aVSfx08rMzCQkJISIiAh69epFaWkpAJWVlRw7doyvvvqKnj17kpOTA1ypABUVFREVFcX69etxu93s3bsXm83Gxo0bteER9e0r8p7Kl5ycTGFhIcnJyTgcjgbvQ6qvSmWxWBg5ciSjRo3SwpnBYECv1+N2uzl27NgtF84lPAkhhBBC3Ca8h0RIu17jGDhwIAsWLCAiIoI2bdqwcOFCrFYrw4YN48477+SFF17g4MGDxMXFae/p27cvhw8f5s0332Tw4MH84Q9/0PZFqeHkagMg1O9HRUWxdetWoqKimDt3rk/48udagx4MBgPTp09n2rRpPsHKYrFonychIeG673szk/AkhBBCCHGb8K46SXBqfGrwUas1Fy5cYMmSJT6VJ7vdTn5+PhUVFbzxxhssXLhQCyojR47EarUC1LuvSA0q8fHxREZGsmbNGiIjI+nTpw9FRUW43e5611ffePNrVa0MBgMmk4k+ffqQlZWlXau+32azXTXo3cwkPAkhhBBC3AZqjyYXjUev19O8eXPOnz/P+PHjcTgcKIqiHYqrtr25XC6tNc5oNGpnK9nt9jpDJbzb87wDjhpUcnJyfIZKmEwmunTpQnBwcL3rrG+8eUpKyjXPjPI3sEJtNayqqmqyAyQkPAkhhBBC3OL8jSYXjUc9DPf8+fOEhISQmprKpEmTaN26Nd27d+eDDz7QAofaGrdkyRIiIyOJi4vTqkW5ubk4HA6fe9cOOIDfoJKQkIDRaGTcuHH1rrP2Xic1EKWlpdUJVSUlJSQnJ2sBSn2v1WrVrnW73RQVFaEoSpM9NFem7cm0PSGEEELc4nQ6nfZn2et083A4HKSmpjJ79my2b99OfHw8c+bM4cCBA/Tp04c333yzTsBQz1TKysrCaDQSERHB0qVLte+r0+48Hg/BwcHaiPPavM9mqu/sJZfL1eCJfrNmzaKysvKq0/WWL19Obm5unXOiGptM2xNCCCGEEIAMibiZmc1mFi5cSHp6OiUlJeTk5KAoCk6nE51Oh8PhYPTo0Rw4cEBrxSsrK+PAgQO89tprREREMHv2bO17y5Ytw2azAWjtfwaDoU5bncPhYMuWLQQFBV21dc5ut1NYWMj48eMpLCxs0JCHq9VlrFarzzlRTZFUnqTyJIQQQohbmHfV6Tb8Z99Nb/ny5Xz88cecPXuWtWvX8te//pWMjAyeeOIJ/va3v+FwOLh8+TJPP/00Bw8epKKiAvj3uUpqBWn//v189dVXdOrUibi4OIKDg7VzmWpXmWbOnElpaWmdqlVtLpeL8ePHExISgtvtZty4cX4rVepZVMXFxT4DLZoKqTwJIYQQQggZEtEEKIrCyZMnadeuHTk5OTz55JM89dRTAMTFxREeHs66deu0vUa1z1VS9yHFxMTQuXNnjEYjVqtV21Pkcrlwu92YTCYSExNxuVz07dsXs9lMamrqVddmMBjIyMigffv2jB07VrtHbRaLhcjIyAYHp6Y8qjygsRcghBBCCCF+HDIk4uamhofJkyej1+u1SpFeryc3NxeApKQkCgoKtH1H06dPr7MXKSkpCZfLhV6vr/MMdTJfeHi4VoWqrq5m+PDhmM3ma67RbDYzfPhwnE4niqLU2QPlb1/UtfZKeY9Ar2+/1c1KKk9CCCGEELcg2et087Pb7Zw5c4Z9+/YxcuRIkpOTcTgc2njyUaNGAVBYWMjYsWNZunSpFkz8TbfT6/U4nU6f12uPG4+Pj69zCO+1+Bs77v0ZGvKav/s1xVHlsudJ9jwJIYQQ4hYke51ufi6Xi+TkZKKiosjOzvaZnldYWMhTTz3FQw89xKZNmzh//jwGg4FnnnmGxMRE7X2RkZFa9cb7ft6vq9+z2+14PB4qKiquOmXvauvNzMzUKmTer8XFxZGdnY3FYgGoc93N7HqygYQnCU9CCCGEuAVJeGoa1PARGxtLWloaFy9eJCQkhEOHDvHNN98QGhrKiy++SEFBAf3792fq1KnaXibvgKKGo/j4eHJycuoEF3VohNFo9BkmcaM0ZPT5zUoGRgghhBBC3MZqt+yJm5e6Z6lLly6EhITw2Wef8fe//52qqioCAwO5++67ARgyZIgWnFTeoVhtlcvJyfF7AK3aKpeQkICiKA0e2tDQ65pyK971kPAkhBBCCHGL8R4UIXudmo60tDQ6dOiA0Wikc+fOdOnShdLSUt577z1ycnKuuq+ovr1MaviBK8MnsrOzcTqdzJ07l02bNmnnQtXnWvuXvKlhrilP07sWCU9CCCGEELcQqTo1TS6Xi+zsbCZPnszQoUNp2bIlzZs3p7q6GgCj0UhcXJwWSmpXerKzs+nZsyc5OTk+960dfrxHm4Nve6c/DR0w4f2c+gKXGqocDkeTDVey50n2PAkhhBDiFiJ7nZqmpUuXsnr1ahISEiguLmbOnDls3ryZqqoqAIKCggCoqKjAaDSi1+vrjAdXq0hWq1V73eFwMHfuXGJiYpg6dSrAVfdG1bZ8+XI2b97M6NGjmTZtWp3v+9trBf4HRqj7og4ePEjPnj1vmv1RsudJCCGEEEKIJmTPnj243W42bdpEVFQU6enpWK1WZs6cidFopKKiArhSgcrPz6ekpKROZSc/P5+cnBzWrl2rvZadnY3b7Wbbtm0kJydjs9muujeqNrfbTVFREW632+/3/e21Uvdx1bfvKi0trcnuj5LwJIQQQghxi5CWvaZr3rx5tGnTht///ve89957hIaG1mm1s1qt6PV6OnfuTHZ2tk8rnXoY7rFjx3wqjvHx8QQHBxMcHExUVBTAdQWX4OBgunTpQnBwsN/vX8+gCDVUmc3mBgW3m5G07UnbnhBCCCFuEdKy13SpLW1ZWVkEBgZSXFzML3/5yzoT9uo7y6l2e576HvW+QUFBfPnll6SlpWE2mxu8Ln9nOzXkPRkZGeh0OqxWK3Al3Hm3Gd5MpG1PCCGEEOI2I1Wnpk2t4Cxbtoyamhq6devGkiVLWLlypc/0OoPBwKJFi4iMjPSp9mRnZ9O3b19atWrlE1DU+8KVkLBhw4brWld9LXhXY7fb2bJlC7m5uVcdINEUBTT2AoQQQgghxA8n48mbNoPBQGJiIu+++y4dOnTg4MGDeDwedu7ciV6vZ/PmzdqwCIvFUmfQgsVi0SpEtSmKgsfjuerepfqoAyGup2pksVjweDzodLo6AySaOglPQgghhBBNnFSdbg12u53333+fkydPEhERQceOHRk0aBCKotCsWTN27NhBdXU1VVVVdSbfqRWi2jIyMtiyZQsBAQFX3bt0tTWpVaPExMQ6QcpfuDIYDEyfPl27h8vlumXaSKVtTwghhBCiiZOq063BYrHQq1cv2rdvz/jx47nrrrt49NFHmTRpEg899BCDBg2iWbNm9QYRf4fTVlVVUVhYSL9+/RgzZgwTJ0687jWpAyH8td81pCVPvWblypXMnDkTh8NxXWu4mcjACBkYIYQQQogmLiwsjDNnzhAaGorT6Wzs5YgfQB3Q4Ha7qaio8DkL6VrDG9ThEN7vWbZsGVu3bmXEiBE+1aAfsjbv5zdkoIR6TU5ODl9++SUDBgzgrbfe+kFruZFkYIQQQgghxG3kzJkzPr+Lpkttv7NarX5HgF+t7uFvbLhatUpISGDVqlU4HI461anrXZt3SKr9mr/ql3rNwIEDCQkJ4Z577rnuZ98sJDwJIYQQQjRhst/p1qUGJYfDwcyZM1m5cmW9LXLq3qPaFSA1uGRnZ+N0OklJSaGkpIRZs2axfPny6wpR/oJRbVdr43vssce0VsSmSsKTEEIIIUQTJvudbk3eISQlJYXS0lIKCgoIDw8nLi6uToipL7S4XC6WLVtGeXk5JpOJtLQ0ioqKqKys1EaJf5811b6/GsSudmhuVlbW9xqXfjOR8CSEEEII0URJ1enWFR8fz8GDB4mLiyMtLY2IiAjmzp2LoihkZWXVCTEWiwWj0Yjb7a4TqrZs2UJeXh56vR6z2cyiRYsYPHgwx48fJzY2tsFr8heMap/pBPW3FqpTA91u9/duHWxsEp6EEEIIIZooqTrdmlwuF3PnzuXcuXNs2LABg8FAbGwsmzdv1gaC1A4xBoMBvV5PRUVFnVA1cuRIRo0aRWJiotbed+DAAVq3bs3ChQv9Pt873KhfA3X2PFksFmJjYwkICKCsrAybzVZv29748eNp2bIlQJM9NFfCkxBCCCFEE3X//ff7/C6aPpfLRXJyMufPn+fYsWMoikJGRgabNm3C4/EQHh6O1WrVRod7B5yysjIOHDhAXFyczz31ej0TJ07EYDBorXcxMTFERESQmppaZw212/Outo/JYDBgMplwu92sXr1aW6O/tr3s7Gx69uyJXq+v95qbnYQnIYQQQogm6rPPPgNgx44djbwScaNkZGRw7tw5WrZsyeTJk/F4PPzrX/+ipqaG4OBgbQR5cnIyJSUlWqDJyMhgzZo1VFRUkJOTo92vdvBRW++mTp3K0qVLMZvNddZQuz2vvn1MakUqPj6eli1b0rFjR22N/qbvqfexWq11KlhNhYQnIYQQQogmqqamBoDq6upGXom4UXQ6HQEBAQwePJh9+/axbds23G43bdu21Q64tdvtREVFUVxcrAUanU5Hx44dMZlMPiGndvDxN268ttrX1PceNZjl5OTw6quvkpCQUOcQXrvdTklJCcnJyUDdtr+mRsKTEEIIIUQT5D0sYsaMGY24EnEjJSQkYDQaOX36NJ988glFRUUMHjyYAQMGAFcqOW63m/DwcBYuXKgFEavVSkJCAosXL64TTq52NtS1qJUjf+dDeQez+gKWxWKhqKiIqKioJrnHqTad8kN+mk3U9ZwiLIQQQghxM9LpdNqfb8N/zt2SXC4Xs2bNorKykoKCAk6fPk3r1q3p0qUL8fHxREZGoigKTqeT8PBwrYVPfa/dbsdisfgEmFWrVuF0OjEajej1+jrfvxb1/QcPHqRnz551nnu1z6KuByAzM7POGVQ3i+vJBlJ5EkIIIYRoYrZt26b9WUaU3zrsdjuVlZUcO3aMyZMn065dOwYNGsSIESO0Fj3vEea13+tvqINaHYLvN+FOfd6cOXPqHfLg7/BcdT02m83v4b1NlYQnIYQQQogmZvjw4dqfZUT5rcNisRAXF8fkyZMpLi7m0Ucf5eTJk4SGhmotetnZ2URFRZGSklJvC51Krf4kJiaSkJDAwYMHiY2NbfAZS94j0zdv3lzvfiV/we2HhrablYQnIYQQQogmpCkeLCoaxmAwMH36dIxGI9HR0Xz44Ye0bNmS/fv3A2iT7YqKioiIiCA5OVn7++Bvz5F3qFHHhKenpzc4zHhXwrzbRGvzF9zU9Vit1iY7ltwfCU9CCCGEEE3I7NmztT/PnDmzEVcifgzeAyE2bNhAp06dmD17NsnJyRw8eJBJkyYxZ84cTpw4oQ1h8Nc2B76hRv3znDlz/Lb9+aNWwqZPn+4zRa/28642wc9gMNQ5k6opk4ERMjBCCCGEEE2IDIq4tS1btoxPP/2Uli1b8uqrrwJXznSKiIhgzZo1BAcHM3DgQBYvXqwNYVArTA0Z5qAOgGjo4Advahugx+OhoqKi3nu4XC4yMjLQ6XRYrdbrWl9jkIERQgghhBBCNEE6nY5jx45RWVlJZmYmdrudiIgItm7dytSpUzEYDNxzzz0+1Z76hkj4U9+Btw2hhiDgqvew2+1s2bKF3NxcMjMzf9AzbzYBjb0AIYQQQgjRcG3btuXs2bO0bdu2sZcifgRWqxW4EqISExNxuVxMmjSJESNGYDKZuOuuu3j00Ud93qPuZ8rJydEqUfWNJFdD1/dhsViuOXJcbTu89957OXDggBbobpUqqVSehBBCCCGakLNnz/r8Lm49er2eiRMnatP14uPjKS0tBaCiooKsrCyffUfelZ36RpZfL5fLxbJly1i8eDEzZszA4XBcdW+TSh0ycfDgQfr06UNOTs4NW9PNQMKTEEIIIUQTsWvXrsZegviRqGHIZrP5BI34+Hi+/fZboqOj2blzJzU1Neh0OjIyMti0aRM2m82nmuR2uzGZTFqLnL9hEg6Hg5kzZ+JwOOpdj9p69+c//5mCggJSU1Mb9DnUIJeWlqYFuutpK7zZSXgSQgghhGgiHnroIe3P8+fPb8SViBvNZrOxceNGqqqqCA8PJy4ujmXLljF79mwKCgr44x//yPnz52nbti0TJ06kqqqKwsJCPB6Pdg+16qPX67XqkN1up6SkxGeseUpKCqWlpcybN6/eM58sFguxsbEMHDiQu+66q8HhCa606HlXqbzbCps6CU9CCCGEEE2Aw+HQWvWaN2/O3LlzG3lF4kZyu90UFRWhKApJSUlkZ2ezZcsWDh48yPHjxwkKCqKsrEw7LNd7D5FaXYqPj8doNOJ2u7VAZLFYKCoq0saaA6SlpREREUH//v3rbaczGAyYTCYGDhxIXFwcBoOhTtBSW/uWL1+uva6GwLVr12rX3UoDIyQ8CfH/2bv/8Cbre3/8zxRoiiGtSBs+loKpilVBJzAFi4ItJxk9UmjcZoM42VrcVo9T5wrXDlyfk2YfYfvQnolu1m20OjzFBj7OFHDCEkYrjoIyqFNwq+LawkpdVhCaRtJCzfcPvvftnTt3fvUHTdrn47q8gDS577scx+Hp6/V+vYiIiOLA448/Lv68r69vGJ+EhkJSUhIyMzOhUqlQU1OD+fPnIykpCYWFhXj66aeRmZmJpUuXKr6/tLQULS0tsFgs6Onpwb59+8TwotFoUFFRgYyMDDG86HQ6lJeXIzEx0a/FTy7cWSq73Y69e/fipZdegs1mAwD09PQEVMQiOSsVLxieiIiIiOLAwYMHxZ+np6cP45PQUDCbzcjLy4PP58OePXtgtVpx4cIFpKSkYMqUKZg2bRqOHDkCm82Gmpoa5OfnIy8vD4mJidDr9Xjrrbeg1+tx9OhRJCQkwOv1ipUipfBSW1uLhoYGscVOifRzStUjk8mECRMmYOrUqeL+scTERNxwww3wer1hz1XFI4YnIiIiojhw7tw5AJdHWDscjuF9GBp00qEPLS0tuHjxIhISEuDz+cTzR2PHjsXbb7+NlpYWrF27Fl6vF/n5+cjIyMDmzZvR2tqKdevWYfHixVCr1X6VIungCI/Hg0OHDonDJ6J5PmnQ0mg0eO6552AwGODz+cSx6osXL8bx48fR0dER1VmpeMDwRERERBQHuru7AVw+jD9jxoxhfhoaKmq1GpmZmbjnnntw3333AbgcfI4ePYq//e1v6O7uxltvvYXu7m7U19fD6XRixYoVOHDgALKystDY2IiCggL4fD6/ljxp253dbsf06dPF4RMDodFooFar4Xa7UVdXJ4asDRs2ID09neGJiIiIiK6skdb6RMpcLhf279+PsWPH4qtf/Sp+/vOfi1WmY8eO4YsvvsA111yDV199FQaDAbm5uWI4MhqNOHbsGM6fP48tW7agvr4eAMRKkbTtzmQyITU1FXPmzBmU51Zq6dPpdKisrIROpxuUe8SKscP9AEREREQU2lNPPSX+/Oqrrx6256ChZbFYcOzYMYwbNw4FBQXQarWoq6vDY489hu7ubowfPx5z586FRqNBcXGx32cdDge8Xi8aGxuRlJQktvwJpG2BAPza+qSv94f82iMZK09EREREMe6jjz4Sf+71eofxSWgoWa1WzJ49GzfffDMefvhhjB07Ftu2bUNiYiKMRiPuuecesT1OOMPkcrn8pvNlZ2djw4YNWLx4Mcxmc9B7RbO4Vliq29LSEnQvlEBpKa/Sa/GK4YmIiIgohrW0tOCvf/2r+OuEBP71baTS6XTYvHkzXnjhBdx000344Q9/iEOHDomLb/Pz88XAI5xhslgs6OzsxMaNGzFz5kykpKRAp9OJ48WFcCUPLtEsrhWW6j766KNB90IJgo00Dza8It7wf31EREREMWzFihX4/PPPxV9HUimg+CYdwgBAPE/kcDig1+uxdu1adHV1ITk5GVarFWlpaeKPBoMBNTU1sNlsfuFKHniiqTwJS3Wfe+458VxVsOATbKS59DWlgBUvGJ6IiIiIYpjwF2gAGD9+PH7zm98M49PQUBFa44ThIEK4yc/PF0eEz58/H6+88gr+9a9/obGxEWq1GjqdDitWrBB/dDgcaG9vx8GDB/3ClRBchKrPrl27Iq48CcMfmpqaxHNVwYJPsJHm0teiCW6xhuGJiIiIKIadOnVK/HlCQsKIm1422glhZu3ateJeJI/HA4vFAr1eD6fTKb5n/fr1yMzMRFdXl9+kPSmTyYTW1lZMnz7dL1wB8KtIAQioECk9l7TCZDKZkJOTg/nz58Pr9YpfE967bds2qNVq7NixI+T3HE3LYKxR+aRjOEaJrq4upKSk4Pz580hOTh7uxyEiIiJS5HK5MHnyZPHXs2fPxpEjR4bxiWiw1dTUoLOzE4mJiTh27BjKysrE6tGJEycwb948AJcrkNL3aDQa2O12mEwmvyoPcDnM1NXVoaCgQPyacB+tVoukpCS/r4V6rrS0tIBJevKvCb8uLS3FF198gXHjxqGnpyfotZWebzhFkw0YnhieiIiIKEatXLkSr7zyivjrv//978jMzBzGJ6LB5PF4UFtbi4SEBBQWFopBQggX58+fR2NjI7Kzs5GSkiJWiWpra3Ho0CFMnz4dqampUKvViiFKfi+bzQYAMJvNYUOLPOB4PB4xrAEI+FpdXR3Gjh2LRx55BNu3b8eyZcsG4XfoyogmG7Btj4iIiCgGCQtTpRicRha73S5O0lM6IwRcnrYIQDwzZLfb0dDQgO7ubrS1tQFARMMXpEMoIhnUID+nZLfb0d7ejtLSUr/nkb63sLAQZ8+exb/+9S9UV1cHDJWQn+uKRwxPRERERDFo9erVfuedxo0bN4xPQ0NBmEInTMiTh43ExERcf/31UKvV4mtGoxFJSUmYO3cu5syZg/z8/JBnl5TuF+69wc47tba2Qq/XhwxftbW1ePnll+F0OgPeJ4w8LysrC/ussYrhiYiIiCjGCFWnvr4+8bWrr756+B6IhoRQsXE4HGL1SFqdWb58ecCyW4fDgZkzZ+Kjjz6C2+2G0+kMmG4X6n7C/iePxxN035LSKHGNRoOKigpkZGSEDF+9vb3o6+sTz1VJCSPPV69ezT1PRERERDQ4Hn/8cbS2tg73Y9AV4PF44PV6kZycjIKCAqxduxbvvvsu1q1bpzj222QyQavV4rbbbhM/I1wnkkAiDUbB9i0Fq1ApPY+ShIQEzJ07N+B9wsjzAwcOcM8TEREREQ2Od955J+C1H/zgB8PwJDTU5OeeZs+ejaSkJMyePdvvfUI4Ehw4cAAA/M4kRRJIhGCUnZ2NhoYGJCYmhgxJSqFMeM3lcgV8LTExETfccAMSExPF91ZVVaGyslI8BxVp+2AsYngiIiIiiiEulwuffvqp32vXXHMNnn766WF6IhpK8oWx3/jGN3D77bfj61//ut/7pOHI5/MhISEB0qHZwQKJPPwIwWjjxo3o7OzEsWPHQlaSlEKZ8JrFYkFnZydsNpt4j6VLl2LChAnIz88X39vQ0ICtW7fC6XQqDpyIJwxPRERERDHC4/Hg61//Onp7e/1enz59elz+RZPCczgc0Ov1sFgs8Hg8QRfISsPR8uXLcd999wGAWP0BlANJsIqUcP5IaXiDNHApDbUQXrNardBqtTh48CDa29tRV1cX8PzCYt2HH34YWq027MCJWMc9T9zzRERERDHihRdewP/+3/8bn332mfja2LFj8dFHH3FM+Qjl8XhQWloKvV6P1NRU+Hw+XLx4EYmJieI+JumOJSEcVVdXY9++fbjqqqswY8YMxWW2wvXr6upgMBjgcDjC7oMC/JfgCgMmenp64Ha7xfsIz9TT04PW1la8/vrreOONN6DT6YIuwI215bgC7nkiIiIiikM7d+70C04AsGzZMganEUw6xQ4Auru78f777/vtY1KqHnm9XrS2tuLWW28NeX5IPtFP2mIXjLTKJex3OnjwoDigQgh87e3tAIDGxkZkZmaivLw8YKKfXLzXbRieiIiIiGJAS0sLHA5HwOuVlZXD8DR0JQkBx2w2i+1wQniRTuOTts4lJSUhMzMTKSkpAWFFaUhDVlYWysvL0d7eHtFgCSHkCPudpk+fLg61sNvt0Ov1aGtrg9lsRm1tLaZNmya2AAZrFYx0qEUsY9se2/aIiIhomLW0tOD2229Hd3e33+tjxozBpUuXhumpKBZIW+guXLiAhoYG5OTkwGw2iy1wQigRWupqamqwZ88enDhxAmPGjEFRURF+9rOfoa2tDdOmTYPVag3ZOie9p9CiJ223C9d+F+zrbNsjIiIiogE5fPgwbrjhhoDgBAC///3vh+GJ6EqRLsQNNv5b2Ovk9XrhdrvR0tKCnp4ev3Hi8kl7wpCGG2+8EV988QV6enpwzTXXQKVSAUDY8CK/nny/U7h9T8G+HumeqFjG8EREREQ0TFwuF+666y7FcyB1dXX42te+NgxPRVeCx+PB8uXLcerUKZSVlQWM/xZa2zQaDdRqNdxuN44fP47rr78earXa71rCOaPa2lpUV1cDAIqLi3HffffhxhtvhFqths1mw4033giz2Rz23JNSyAm376mqqkpsEQz3/nCLfGMZ2/bYtkdERETDYP/+/Vi4cKHi19RqNbxe7xV+IrpShIELqampOHjwIF599VVoNBpxKp7T6fRrkautrUVCQgKWLFni9zUpoVXv0qVLmDhxIioqKgBAsd1OqGIFm9CnRN7KJ32tubkZbrcbAJCXlye2DgZ7fzT3vRLYtkdEREQUww4fPhw0OAEQ26wOHz58BZ+KrhRh4MKZM2ewY8cO6HQ6sdqj0+n8qj52ux3d3d1Qq9UBXxMIQyXmz5/vt0spWLudMJgi2IQ+JfJlvtLX1qxZg+zsbIwfP178utLS3mCLfOMJwxMRERHRFeLxeJCamoq77ror7Hs/++wzLFy4MK5bnEiZ0WhEa2srysrKwp7/CRU4tmzZApVKBZ1Oh/feew/vv/8+1q9fD61Wi/r6erhcLvG90pa5/pw9UlreK7zW2NiI5ORkzJgxA7t27Qq5tDfem94YnoiIiIiG2PHjx6FSqTBhwgScOXMm4s9duHABP//5z4fwyWg4KAWRYOeBQgWd73znOwCAzz//HJs3b0Z6ejqcTic++OADdHZ2iqPDgYGPCQ9XSRKqUF1dXdizZw9sNlvANUbCqHKGJyIiIqIh4vF4kJycjJkzZ/b7GlarFcePHx/Ep6LhJg8iHo8HTz75JN544w1s27Yt4uu8/PLLAIDExER85zvfQUdHBwoKCmC1WpGenu4XnoR7SndFRUMpxElfEwKh8O9qb2+veB9h71RXV5e4aDdejR3uByAiIiIaiVJTUyOqMiUlJYUcDtHX14dly5bhxIkTg/l4NMyk7WvCuaZTp05F1da2cuVKjBkzBu3t7Whra0N5eTk0Gg00Gk3AcmUh6FRXV2Pfvn3o7e1FUVHRoH0/JpMJdXV12LBhA5xOJ7xer1hl8vl8aGhoAADk5OTAbrfDZDLF5chyVp6IiIiIBpFKpYJKpQoanG699Vb8/Oc/R3d3N3w+Hzo7O/HCCy+gsLAQ48ePV/zM3//+dw6PGEHsdjva29tRWloKj8cDk8kEg8GA4uJi5Ofn+1WGhKpNdXV1wA4oAJg2bRp+9rOfwWw2Kw6SkL/f5/MhISFh0M4eCfcA4DfwIj8/XxwwIeydmj9/Pg4ePIj29va4bd3jqHKOKiciIqJBICwgDebYsWOYMWNGyPc8++yz+N//+38rtlTpdDr885//HNAzUmxwuVxYvnw5srOz0dnZiYqKCjH4yMd5CyPIgS+rlDk5OSguLgYAXHvttTh37hwmTpyI06dPi/cQxqHr9XpkZGRgxYoVcLlcWLt2LWbPno2VK1dGVPnxeDyw2+0wGo1wOBwBFSPhebVaLdRqtfj1YKPK5VWyWMBR5URERERXiFBpUjJp0iT4fD74fL6wwQkAvvvd72Ljxo2KFahR+N+7R6ydO3ciLS0Nb7/9tjhWXCA/DyVUbXJzczF79mwA/kG9pKQEiYmJKC4u9qsy2Ww2nD17Fp988ol4LYvFgk8//RSvv/56xM9aW1uLPXv2YO3atQHDHoQR6ULgkH5d6VzX+fPnceLEiYimDMYqhiciIiKiKKWmpkYUmjo7O6O6rkajwWOPPYa8vLyAr507d64/j0oxpqWlBf/93/+N7u5u6PV6MWBI298KCgpgt9vhcrlgt9uRn5+PL774AgCQm5uLwsJC8Xrf//738c1vfhOnTp3ya4fz+XxITEzE3LlzxaBitVrh9XqxcOHCiNvmhH/H58yZE/CsNptN3EEl3x0lHzBht9tx8OBBXLhwwW/KYLzhwAgiIiKiCIUbAjFp0qSoA5OS3NxcvPXWW373unTpkrijh+LXd77zHZw/fx5NTU144oknoFar/drchAEL7e3tWL58OYxGI9auXYsPP/wQ06ZNQ35+PjQajdhO19PTA6/Xi0uXLqGtrQ2PP/44AGD58uXo7e3FwYMHkZ+fD51OB51Ohx07dqCuri7iiXdmsxlJSUkoKCgIaC3UarViYBLCkpzwnPPnz0dDQwNmz54d19P2WHkiIiIiCkOoNAULTv2tNAXz7W9/G/fffz8mTpwovubz+bjzaQRYunQprrrqKtxzzz1ITk6G1+sVh0YIQcRkMqG1tRX33Xcf2traMHv2bEyZMgWffvopDAYDgC93JgGXJ9gZjUa/c0QajUZx31O0C3KV3i88q9lsDnst4Tk3btyImTNnIiUlJa7/AwAHRnBgBBEREQVxpSpNSjweDwwGAw4ePCi+lpaWBpfLNST3oytD2OnU3d2NCRMmYObMmX5DFaTvq6urg8FgwM6dO/HOO+9g2rRpOH36NCoqKgBArCApTdmrra2F2+3GX//6VzzzzDPQ6XQB7xnoyPBIriF8H9nZ2di4cSOsVis0Gk1MjSvnwAgiIiKiAbjSlSYlSm1QY8fyxEU827FjByZOnIi2tjYA/ueIBPLR3w6HA2fOnIHP58PJkyfFARPSilBLSwsWLVqElpYWccre3r178c4772DMmDGKAUWoCCmdfZKOOFcadx7JNQTCcx44cAB6vR4WiwVbtmzBnj17YLPZovsNjAEMT0REREQSoUKTMDlvKEOT1Le//W1cddVV4q8//fRT7N+//4rcmwbfgw8+iIsXL2Lv3r3QarV45JFH/NrehOAjHfwgtPBNnz4d8+bNQ2pqqtjqJ1i1ahVcLhceffRR2O126PV6aLVaaLXagGl+QhiaP3++uIdJThqKQgUk+US9UITvQ6/X4+jRowDCj/ePRQxPRERENOqFm54nhKYrTaPR4L777vN7jiVLllzx56DBsX37diQkJODmm2/GrFmzAipCQvBpa2vzm1pXUVGBjIwMmM1mqNVquN1u2Gw2sSJUVVWFyZMnY/PmzTCZTMjIyMCmTZuwfv16tLa2+gUk6RmkrKwsxcl30lBkNBrR3NyM7OzsgApUqPNT8uqV3W6H1WpFRkYGNmzYgLy8PL+pgfGCZ5545omIiGjUCnemKRb+mrRy5Ups3boVfX19AICrr74an3322TA/FfXXCy+8gFdffRUrVqzAY4895vc1+TknlUoFs9nsF06E93i9XrjdbsXzUgKlRbXSezidTsUzU1JVVVVoaGhAUlJS0PNZ4e4tVGuFQBZL550AnnkiIiIiCinSM02xoLy83G/q3pgxY4bxaWigkpKSMHXqVDQ1NSmeI7pw4QLWrl2LvXv3or6+XrFdzufzIT8/369lzuVyoaSkRBwoIl1gK22rk1aLwv077vF4cOjQIVy6dEnxfFYo8umB0uAU7pxULGN4IiIiolEjFgZBREun0/m1XZ09e3YYn4YGymw2Y8KECWLrnZTdbkdDQwO6u7uRlJSE8ePHB5xJEsLHrl27/MKPxWJBR0cHysrKxLNTZ86cEfdIAf6tdJGEmNraWnR3dyuezwpHGtKkP4/mnFQsYngiIiKiUSHeQpPUpk2bxJ/HSkWMoiOdonf33Xdj7NixAWfsTCaTuLPp3nvvxYwZM+B0OsVzTdXV1TAajUhLS0NXVxdefPFFbNmyBQBgtVqRlpaGmTNnwmazBZydAvwHQUQSYlQqFcaOHYu77757QOPMpWelot0zFWs475KIiIhGtFATveIliCjt6InXv3yOVrW1tWhoaEBPTw/MZjOSkpLE4OLxePDb3/4WTU1N2LBhA3Q6nXg2SWh1a2hoAHC57W/FihVYtWoVvF4v3nvvPQCX/x1ZuHAhOjs7oVarkZGRgccff9zv3xOj0QiLxYKHHnpIcRS+nNlsBnD5fyfyf+ci3RMlDWyRnJWKdaw8ERER0YgTq9PzBiIlJUX8+Y9//ONhfBLqj97eXrS0tKCnpyeg+mK32/Hqq6+iqakJ69at89vzJLS65eTkIDc3VwxcGzZswNy5c/HMM88A8D/jZDabFas7Docj6IQ9OSEcAYDb7Q5o74v07JIwrU9pJHo8YngiIiKiESXUBL1YGgQRrWnTpok/f+GFF4bxSag/EhMTcf3110OtVgd8zWQyYcWKFbj99tvx+eefo66uDk899ZRfq1txcTGKiorEQKTT6VBZWSlWJe12O86cOYPDhw8HfYZozhsJ4QiA32eENjyhfTDctRwOh7gcV2lARrxheCIiIqIRIdQwiFg/0xSJmTNnij/nxL34s3z5cixevBhms1kMIC6XS6wyrVy5EmPGjMHf/vY3/OlPf8Jnn30W1UQ66RLaYJ+L5ryRELTkVSwhVDmdTvF1+bkm+XU+/vhjfPbZZ9iyZUvQ98ULhiciIiKKayM9NAk2bdqEhITLf3W7dOkSduzYMcxPRNGQBhchgKxevRqVlZV45ZVXYLfb0d3djfPnz2Pq1KmYOHFixBPp5EtoDQaD34La/gSWYEFLqXoVqoVPo9GIAzKampriekw5wCW5XJJLREQUp+Jhwe1gmzVrljggYOzYsbh48eLwPhBFTDpgAQDq6urw5ptvorGxEQsXLsQLL7wAm82G3t5eqNVqFBYWAkDAUAalQQ3CQlqtVgu1Wo2enh643W5otVr8+c9/hl6vR0ZGBlasWCF+3mg0wuFwDGhZrfRaoRbuRruY90qLJhswPDE8ERERxZXRGJoEP//5z/GjH/1I/PVI/l5HGiHgpKWliVPnKisrsXXrVqxYsQKPPfaY3/uFXU16vR6pqanw+Xzo7e3F0aNHcd111+H06dOoqKgAcHmSX0JCAnw+nxiakpKS4PV60dnZiba2NpSXl0Oj0YjP0dzcjKysLL/nkd47kkl68tCm9P5IrzWcGJ7CYHgiIiKKP+EGQYyE1rxwPB4PJkyYAAAYP348Pv/882F+IoqUdPS4tIokVGTkVaDKykps2bIFt956K+655x7U19ejpaUFU6dORWdnJwwGAzIyMsS2VKGVTnqPcPcMVgVSCnqhvichpLW2tqKiogIajQYulwsWiwW33XYbent7w15rOEWTDXjmiYiIiGJeuAW3oyE4AZfPjwjj171e7zA/DUVD6QyR8JrD4fA7C+TxeLB9+3b09vZi7NixMJvNyM7OxvTp07FgwQK8+uqryMjIQEFBgXgGyWAwwG63iz8KZ5wuXLiALVu2oLq6WtzVJDxHsBqKyWSCVquF1+sNeW5KuJbZbA4YVmGxWNDR0YGmpia/a8U7hiciIiKKWaF2NY2kYRDREP7COwqbh0YseVix2+1YtGgRJk2ahPXr1wMAPvjgA9xyyy1ISUmBRqPBhQsXYLPZAMAvgK1duxa7d+/Gtm3bxOW6W7duRX19vV84Ky0tRXt7e9AhD2q1WtzvFG6nk0ajQUVFhRjoAMBqtSI9PR3r16/3u1a8Y3giIiKimCNM0FMiLLgdbaFJIEzc47jy+CAfS65UfZGHFZPJhOuvvx47duyATqeD3W6HXq9HW1sbCgoKYLfbsXfvXrz00ktigBIqUDNmzMCJEyewf/9+GI1G5OTk4Jvf/CbGjx8vLqq12Ww4e/YsPvnkk6AT/aRT9cLthxICn7QFULqHKpr9UrGO4YmIiIhiRiRjx0e7H//4xwCAvr6+gCEDFHtqa2uxZ88erF27NqB643K5UFJSApfL5Rcw5C1+JpMJGRkZ4tAHk8mECRMmYOrUqeJ/ZBA+o9VqMXbsWHi9XjidThQXFyM1NRUzZsyA0+kEcPk/QCQmJmLu3LlBhzhInyHcfii73Y729naUlpYGbc0bKf/b5cAIDowgIiKKCaHa80ZrlUmJdGgEMHL+UjpSVVdXo76+HvPnz0dycrJfdaakpAQdHR1IT09HZWVlVNdVGgYhvL5lyxY0NTVh/fr10Ol0Ae8N9lnpNaKZkCedDCiMRJeKdADFcOHACCIiIoob4c41MTj5i9Vxz6TMbDYjLy8PjzzySED1xmq1Ii0tDTNnzhy0JbYajQbJycl+lSbgy5Ct1GInJ1TLhJZAOfkACaUzT1Js2yMiIiIaIJ5r6r+33npL/Hks/pd8+pJGoxHPKckDkk6nw8KFC9Hb2zvgYQrSQCMPK9KBD+GGPwBfVoGD/e9T6RqhWvvCtf3FE4YnIiIiuuJ4rmlgFixYIP781VdfHcYnoUiECiyRDGMQQlGwkeHye3g8HvzpT38S3xfN8AcAyM/Ph1arxZIlSxSfZf78+WhubhYHUIR6rkifP17wzBPPPBEREV0xbM8bPMLS4LFjx+Kjjz5CZmbmcD8SBRHujFGwz9jtdvT09MDtdiMtLc1vIa684ii9x5NPPommpibMnj0bmzdvVrxuqPNMwc4oCa83NzcjKytL/HqoM03Sr4V6/uHEM09EREQUU8K16DE4Re/w4cMYO3YsLl26hLvvvnu4H4cUCJUWAH5ta0rVmJaWFnHyHvBlJQlARFUjaWvc7NmzkZSUhFmzZgXcT16hUqoEye8jvM9oNCItLU08qyV8PdRzRVv1inWsPLHyRERENGSE6ogSVpsGThpIR+Ff6WLez372Mzz77LPIyclBdXW1GJ6UqjG7du2CVqsVJ+9FW62SVpQ8Hg8sFgusVit0Op3f/QwGA9auXYvZs2eLu6XCVYJifVreQLHyRERERMMu3LkmBqeBmzp1qt+PFFu2bNkCt9uN+vp6v/NORqNRPDMkVGOqqqqQnp6OsrIyANEPWbDZbNi9eze2bdsGh8MBvV4Pi8USMEBi586d+Otf/4p9+/bh4MGD4vh0OWlVSvq8od43GsREeKqsrERmZiaSkpIwZ84cvP322yHf39PTg3Xr1uG6666DWq3GDTfcgJdeeukKPS0RERGFEqpFj9WmwXXq1Cm/Hym2vPbaa9Dr9Xj66adhMBjEkOFwOJCVlQWn0ymGpMzMTFRWVkKn0/XrXj6fDwkJCfD5fDCZTGhtbYVer0ddXZ1fEFOpVJg6dSrOnDmD6dOnQ61WKwY0YfHtk08+ibVr10Kv1/uNPpe/L9SC3JFk2MPTtm3b8NRTT2HdunVoamrCvffei7y8PJw8eTLoZx588EH88Y9/RHV1NZqbm1FbW4ubb775Cj41ERERyQmhSanaxNHjQ0P4S690aS7FjhkzZuDw4cOYMmUKXnvtNbEyFMnZH6WKTqgqz/Lly7F48WKYzWZx71Jqaiq8Xq/f+81mM/Lz8/HSSy+htbVVsZoEQAxg586dw7Fjx3DixImgZ5qkQS2ceK9UDXt4+vnPf47i4mKsWrUKt9xyCzZt2oSpU6fixRdfVHz/nj178NZbb+HNN9/Ev/3bv0Gv1+Ouu+5Cdnb2FX5yIiIiEnD0+PB45513kJSUhO7ubixbtmy4H4ckhJCwZcsW7N69G++++65YGYqkJU9pvHm4HU3SRbi1tbV4++23sXv3bjz11FPicAphQe6BAwfE6pcSIYBdffXV0Ov1uPvuu4PucLJarQFBLFhIimTPVCwb1vDU29uLI0eOwGg0+r1uNBrR2Nio+JmdO3fiq1/9KjZu3IgpU6bgpptuQmlpKS5cuBD0Pj09Pejq6vL7h4iIiAaOLXrDa8aMGfB6vQAu/x2JYocQEo4ePYqEhATcddddYmVIIA8YoRbdAv6T6+SflbbP2Ww2NDQ04G9/+xvef/99uN3ugAW5oc4xCTQaDZ577jnk5+ejsLAw6PukbYjy718ekuJ94t6whqfOzk709fVh8uTJfq9PnjwZn376qeJn/v73v+NPf/oTjh07Brvdjk2bNuG1117Df/zHfwS9z09/+lOkpKSI//BQJRER0cCwRS92LF26VPw5q0+xQwgJGzZswH333Qe1Wh0wOU8eMKS/VqpOaTQaFBQUwG63w2az+X1W2j4HADk5OVi5ciV++MMfYuHChfB6veKo8YKCAsXAoySSKlm4oBft9WLZsI4qP336NKZMmYLGxka//QTr16/H//zP/+Bvf/tbwGeMRiPefvttfPrpp0hJSQEAvP766/jGN74Bj8eD8ePHB3ymp6cHPT094q+7urowdepUjionIiLqh2Djx1lpGj4cWR7bgo36lo8jF35tMBjgcDgUF9kK19JqtUhKSvJ7LwDFz1dXV8PhcCA5ORmbNm3yu1c0i3uFZ7bb7TAajdi5cydUKpV4zipexc2o8tTUVIwZMyagyuRyuQKqUYJrr70WU6ZMEYMTANxyyy3w+Xz4xz/+ofgZtVqN5ORkv3+IiIgoOqGqTQxOw0uoPkmrUDS8XC6XuPQ20iqM8GuHw6HY8ubxeOD1epGcnAyz2ez3XpvNJp5nkn/e6/WiqakJn332md81+xO0heqYxWLB3r178dJLL2Hbtm1RXSOeh0YMa3hKTEzEnDlzAsqFTqcz6ACI+fPn4/Tp0+ju7hZf++ijj5CQkICMjIwhfV4iIqLRKlS1iS16RIEsFgs6OjrEvU3RBJVgYctut+PMmTM4fPhwwHsBiIFJeE0Yj65SqTB79mxcc8014jX7O7hBuLbVasWECRMwdepU+Hy+kIFI6XxWvA6NGNa2PeDyqPJvfetb+NWvfoW7774bv/nNb7B582YcP34c1113Hf7zP/8T7e3teOWVVwAA3d3duOWWWzBv3jxYrVZ0dnZi1apVWLhwITZv3hzRPaMpzREREY12SgMhWGmKLWzbiz0ulwtlZWUoKyuDw+FAe3s7WltbUVFREXWLm7RVzmKxID09HadPn0ZFRQUAiF9zOp1+bXjyFj/p1yJp2xPuK7QECj+XX8NgMMBisUCv1yMjIwMFBQWora0VW/qEsCQEwtraWiQkJKCwsDAm2v2iyQZjr9AzBVVYWIgzZ87gJz/5CTo6OjBz5ky8+eabuO666wAAHR0dfjufJkyYAKfTiR/84Af46le/ikmTJuHBBx/EM888M1zfAhER0YgTrNIEMDjFoqVLl4rT9pYtW4YdO3YM8xONbh6PBzt37sScOXMAXG6bO3HiBG688UYxsEjDRbgAIYSPXbt2Yc6cOXjnnXfEawmVX6fT6XeeCrhcJQoWkIQWwUjuW1dXB6/Xi3379qG3txdFRUV+16ipqYFer0dbWxsef/xx2O12NDQ0AACSkpL8nkOonrW2toac4Berhr3yNBxYeSIiIgouVHAahX9tiBusPsWOmpoavPHGGzh16hRuvfVWzJgxw6/6Y7fbxa8XFxejsLAwoKoD+FecnE4nvF4v3G6337UARDz4QXq9YAMp5O8Xrv3rX/8av/rVr1BSUoIf/vCHQd8nDKOw2WxQqVRiQJJWsEpLS8UqVbgAdyVEkw0YnhieiIiIRNzZFL+WLVsmVp+WLl3K6tMw8ng8ePLJJ9Hd3Y0FCxYgJSUloGVO+LrBYIBarVacxief0hfthLyWlhasWrUKVVVVyMzMFK/X3NwMvV4fURuhELj27t2LDz74AHPmzMFvfvObqH4/Bvp9DDWGpzAYnoiIiPxx/PjIwOpT7AgXEKRfB5SrRwMNGYsWLRKnWO/YsUM8a7RkyRK/M0qhqj9C8ElMTMSxY8ewevVqHDhwIOg5qP78Xgy3uBlVTkRERMMvWHDiFL34w4W5sUGo1oQKC9KFtwCCLo4dSAiuqqrC5MmTsXnzZtjtdnR3d8Pn88HhcMBqtYrDHUIRput94xvfQHZ2Nvbt2yeeg4p0ap58JDtHlRMREVHcCba3SRg/TvFH2qontPDRleXxeFBaWor29na/UKEUGOx2O9rb2/Hkk0+iuro6IEzYbDbs3r076j1Kwv0OHDiAHTt2IDMzM2CkuTBgIlwlSL57CoA4NU9ppHokwSieR5UzPBEREY0yXHY7sk2aNMnvR7qy7Ha7OHlOGiqUAoPJZEJrayu6u7tRX18fECZ8Ph8SEhIGtMxWuKYQgsxmM7RaLbxeb9CAoxSAhKAkLOfVaDQBFaVg36dcsD1W8YDhiYiIaBThstuRT/i/b7CJiTR0PB4PvF4v0tLSUF5e7hcqggWGOXPmYOHChcjNzUVBQYEYXFwuFwAgJycHZrM5qmeoqamB0WhUvJ9Go4FarYbb7Q4acJQCkFJQUhJJMIr0WrGI4YmIiGgUYLVp9OC5p+EjnCtSq9VB9yrJqzTd3d1ITk5GUVERNBoNamtrsWfPHqxduzbotcI9g7wtz+PxoKqqSmwNFAKOwWBQbLEbSGVIOMtVW1ur2IoY7xieiIiIRjhWm0YXnnsaPtGGDun7hYpRb28vgMsVKfnXPB5P2DNFSs8gLK0VWgPl55jkFaiBVobk9xtJGJ6IiIhGsFADIRiaRi5Wn4ZHa2srNmzYgNbW1ojeLw0pQsVIrVYjLy8PjzzySMDXpBPubDabYoiSTvETwpbX68X8+fPF1kDgyxbD5OTkgLCnFNCimZBnMpmQk5OD3NxcxeoWp+0RERFRTBHa9OTYojc6sPo0PB588EGcPXsWhYWFEQcE+Rml/Pz8gAERRqMRzc3NMBgMAVPzlCo70rBVW1uLhoYGJCYmiq2BwnuCtQUqnXmKZkKeRqNBcXExioqKFKtbnLZHREREMYN7mwjg1L3h8Nvf/hZjxoxBZWWl4rhyJfIzSkphw+FwICsrC06nU6ws+Xw+xaoR4N+6J/xHFOl/TBGqTmq1WnHqnlLrXzQtidLgONBrxRqGJyIiohGCe5tISjp1j617V0ZzczNKS0tRW1urOK5ciTxIRBI2QlWNAP92QLPZjLy8PCxZskQMNMLn33///aBT9+R/Ziidg3K5XCgpKREnAwqEoRc2m03xc5y2R0RERMMq1FAIVptGJ+m5J7buDT3pGSKr1YqMjAyUl5cDQMj2PXmQCBc2Qp1VCnV9aUVLCGNWq1WxAiQNP6FYLBZ0dHSgrKzM73WVSoVLly7h0KFDAd93PJ93AhieiIiI4h6HQpCSHTt2cHDEFWSz2VBfXw8A0Ol0AcMe5AMeopmgF+w+8spNqOtIq1dC65/D4RB/LaXU6qdkzZo1OH/+PKZPn+53T7PZjIkTJ+LGG28MqGrZbDbs3r0b27ZtC/u9xiKGJyIiojjFoRAUDgdHXDk+nw9ffPEFGhsb/QKRMAgC8B/woDRBL5IBCj6fDwkJCWJbnTQwhbqOUIECLlfCbDZb0PcqtfrJ7wUABw4cwJQpU/DOO++gtLRUfF2j0aCiogIZGRkBVS3588cblS9en3wAurq6kJKSgvPnzyM5OXm4H4eIiChqoYZCEEkJ/64wVA8dj8eD2tpavPPOO7jxxhuRkZEhVn7T0tKwYsUKeDwe1NXViZUe6a8B+H0t3L3q6upgMBjgcDjQ09MDt9stVpWCXUcIV8L7tVotkpKSInqv8D3U1NQEfE82mw2HDh0Sv28hoIV7/ki+1yslmmzA8MTwREREcYRnmyha0urk0qVL/apRNDiEUCENJEDkgUhKCC4mkynk54LdM9hnhfcnJibi6NGjmD17NlauXKl4D6VrywOf9HPyICh/hki/p+ESTTZg2x4REVGcYHCi/uDgiKEnnCeS7miSt8lFuu8pWDudvGVOuKfZbFZcphvsGYXx5I2NjUHbBJW+H+n3JA9OdrtdDFRKZ5riea+THMMTERFRHOBQCOovDo4Yeh6PB3/605/w2muvRbwQVh6GhPcB8JuAFyxUKQWZUPuThPebzWbk5OQgNzc36LQ+pQl9wci/P+FMk9frDbnrKV6xbY9te0REFOOUKk6sNlG02L43dFatWoWmpibcfPPN4qhynU4HAOK5IODyIAYh7CidH1JqiQvWQjdQLpcLFovF71nlX1uzZg0aGxtD3jPYWS6v1+t3XiqW8cxTGAxPREQUDzgUggbTsmXL/Nr2+O/R4KmsrMTWrVsxffp03HHHHdBqtfD5fFCpVMjPz4fFYoFer/cbqKAUlpTOBgULX9HasWMHHnzwQbzyyiu4ePEiGhoa0NnZifT0dFRWVvq9t6SkBB0dHYpfi1QsDoYIhuEpDIYnIiKKdaw20VDg5L3B19LSgkceeQRTpkzB3LlzkZKSAp/PJ+5iSkpKgtvtRkpKCp599tmIhkDIqzU1NTVob29Ha2srKioq+hVG1Go1Ll68iISEBFRUVCAxMRHHjh1DWVmZYuWprKxM8WvhxPpwCCUcGEFERBTHgp1v4l92aaCEf6/OnDnDs0+DZNWqVWhtbUVDQwOOHDkCtVrtd65o9uzZSExMxNy5c8OGCeFskMFgCBgO0draCr1e3++hC9u3b8eYMWNw3333ITExEStXrkRlZaViONLpdEG/Fs5IGg6hhOGJiIgoRnDpLQ01Tt4bfFVVVZg2bRquu+46zJkzBwaDAXa7HWazGUVFRfjGN76BCRMmIDc3N+zUvWCDGkItnVUiH0YBXG7bXLVqFSZMmIBjx44NWVVoJA2HUMLwREREFANCnW9icKLBwsl7gy8zMxO33HILLl26hA8//DAg+DgcDmRlZWHjxo0BFRmlkAMARqMRzc3NMBgM4mvS6XrBPicIVv2xWq1IT09HWVnZYHzr8Hg8qKqqQnV1tfgsoUa0h3vueMDwRERENIyEalOwMeREg006ZY/Vp4HZv38/Jk6cCK1Wi3HjxuHixYswGo1+lRehEmO1WgMqMrW1tdizZ484EEIgBC6n06l4X3k4kocSpfAFDKwdT87j8aC0tBR79+5FfX19QFBTCnAjoaWP4YmIiGgYcektUfxatmwZLly4gJdffhkajQY33HADnE6n3/4loRKj0+kC9jL19vaipaUFvb29ftcN1/om/7rdbkd7eztKS0vh8XhChq/Bqv7Y7Xbo9XpotVrFnVFKAW4ktPQxPBEREQ0DpfNNXHpLVwpb9wZu//796O3tRUJCAq6++mrMmTMHHR0dAcMegoUVl8uF7du349prr4Varfb7mtIC3FBflw+UCBVSBqv6YzKZkJGRgU2bNqGoqCjgWZUCXLjvKx4wPBEREV1hHENOw03euscAFb1ly5ahr68Pvb290Gg0ePPNN1FeXh5w5ilYWLFYLJgwYQLOnTuHwsLCkPcKVy3SaDSwWq1obW2FwWAIGlI8Hg+8Xi+Sk5Mjrv6Euneo1mKlyhPPPBEREVHEQp1vYnCiK42T9wZmx44duOqqq7B161bodDoUFxcDCGxNUxo/7vF4MHPmTKSnp+PVV18NWokRwobNZkNnZydsNhtqamrgcrkCQki4c1LA5SB35swZHD58OOT3Jh0EYbPZ/FoCBTabDbt378a2bdsUr6H0PDzzRERERBEJNk2PwYmGy44dOzBp0iQAEH+k6Ph8Plx77bV4+OGH8ec//xnbtm0LqPoIv961a5cYNux2Oy5evIiFCxeKwxuUqjJC2ACAtLQ0AEBnZycsFosYQoTPyQdVKJG39wWrBNntdjQ0NIiLfj/88EM0NTVhy5Ytft97QkJC0OqTNERG84yxjuGJiIhoiAVr0+P5JhpuXJrbf8KwiIKCAr8g4XK5UFJSApfLBeDLUNTT0yO+R+lMklJVRnif2WzGihUrYDabAyb3CZ+TD6pQIt8XFawSZDKZxCW/ZrNZnCR4+PBhsSK1dOlSLF68GGazOej9hGAlDLSwWCwoKCiI6zNPKt8onIPa1dWFlJQUnD9/HsnJycP9OERENILxfBPFsmXLlvm17C1dutTvPBQFt3//fhQUFKCurg5z5sxBXV0dCgoKUFpaio6ODqSnp6OyshI1NTXo7OyEVqtFUlKS34Q8k8kkBgmPxyNeQxouPB5PwHulrxuNRjidzn6FEqV7Kt3P5XJh3bp1uHjxIrq7u9HR0YGioiKxVVGJ8H0LIa+0tBR6vR4ZGRniHqhYEU02YOWJiIhoiCidb2K1iWKJfGkuzz5FZv/+/Vi2bBnq6uqwYMECaDQasZKzZs0av0W08uqRRqMRKz7CGSaPxxN0yEOw6lAkFadgbXnC6wACPqt0P51Oh4ULF+KGG27A8ePHce211wZMC5WTDoyQV7ziGcMTERHRIFMaQw7wXAnFJnmAYvteeNKWPeDLhbHt7e1obGz0W0SrFIqEQAUgIKjI2/6CjR2PZGdSsCW8oQY3hLrf6dOn8dBDD0Gn04WdELhz50643W7s2rUr6O9DPGJ4IiIiGkTBBkOw4kSxTD66nEITJu1Jx5Hr9Xq0tbVFVFkRgoRwhkk6ic9isaCjo0OsXIUKHaFO33g8Hhw6dAiXLl3y+4850nHl8p1Uoa4rVI+uv/56lJeXhw1Bwj1VKtWIGFEuYHgiIiIaJKEGQxDFE1afQluwYAHOnj2LBQsWAPhyYWx5eTkARBwUhGAk7Iay2WyYOXMmdDqdGJ6CCVZVEtjtdkyfPh1arRY+n098Hrvdju7ubqjV6oCdVMLXg1Wloqkemc1m5OXlobCwcESMKBcwPBEREQ0Cnm+ieCc/+8QApWz//v2YOHEi9u/fL74mDRX9CQrSNj75CPNghMpOb2+vYlgTAt28efPgdrvF55G25Sm16EXSDhgJ4fcEQNSLeWMZp+1x2h4REQ0QJ+rRSCGfvjcK/5oY1sSJE3HhwgVcddVVOHv2rPi6MKVu/vz52LhxI6xWa9gAJBds4p78HiaTCQBQV1cHr9cLt9uNtLQ0xSl24a451KRT92Jtyp4gmmzA8MTwRERE/RTqfBNRvBL+veZ/AFAmHVEutO0BX4aE5uZmZGVl+YWFYOPGo6UURPobjjweD2pra6FSqWA2mwM+O1jPPNzhLRIcVU5ERDTEeL6JRiouzg1Nft5JILS7SRfYAv6T+KJp5ZMOWRB+bjQaA1rq+jvFzm63o6GhAfX19YrPpdR+GMngB/l7lJ4vngdIMDwRERFFiW16NJLx7FP/CCFBp9P5hQW73Y709HQ4nU4YDAYAkYUHaXgRfr5r165B+w80JpMJ2dnZGD9+vPhc8q/Lg1ok57kG6z2xiuGJiIgoCgxONNIpLc5lgPpSS0sLFi1ahJaWFvG1UGFI2I9kMBjgdDoBRBYe5IMdtFotDh48GHUFS066IDc5ORkzZswQn0sq1H6qUIMfBus9sYrhiYiIKEKcqEejhVKAostWrFiBQ4cO4eGHHxZfs9vtaG9vR2lpaUCAEvYjZWRkiGFBHh6Uwpc0vGg0GqjValx33XVwOByKlSKpUGHOZrNh9+7d2LZtG4xGI5qbmxWvF+yZCgoKYLfbg1bNImkjjOeFuQxPREREEUhNTQ14bdKkScPwJERXhnRxLsDdT1LSpbPA5TDU2toKvV4f0X4k+a+l4cvlcvmFFul5p9OnT8NoNCpWiqSklS15CPL5fEhISIDP58POnTvhdruxa9eukNeI5PXRguGJiIgohNTUVFacaNRi9SnQ1q1bMW/ePLH1DQisLoU70+TxeFBVVYXq6mp4PB6/8GWxWPzCiRBWnE5nQAVLej3p/aSVLXnYWb58ORYvXgyz2Yze3l60tLSgp6cn4LmUhlPIrx3Pgx/6i+GJiIgoCE7Uo9FO3r432qtPLS0tWLVqFTZv3ozMzMyAr1+4cAE2mw02my1kdUY+6U6j0cBqtaK1tRVr1qzxCy3SsBKs3U0ISDabTQx1wvvkLYLS5bXvvPMO+vr6xOvU1taiqqoKmzdvxhtvvKF4r4EuBI53DE9EREQKOBiC6DJp+95orz4pnXcSCIHI6XTi4MGDSE5ODjoQQWnSncPhQFZWFhobG8VwIuxaCrcjSQhIAALCTKjA5fF4/P6ck7YjRvIfieJ58EN/MTwRERHJMDgRBTdaq0/Hjx/HkSNH8Pnnn8Ptdgd83WQyIScnB1qtFtOnT4darYZGo4HL5cKqVatQWVnpt/tImHS3a9cuxR1O0eyHEgKS2WyOOMwIy28nTZokhiaz2YxHH30U3/3ud2E2m8NeY6TtcIoEwxMREZGEUnDi+SYa7Ti6HDAajejt7QUAfPzxx3C5XH5f12g0KC4uxqZNm/zOJVksFjQ1NWHr1q3iAIeqqip0dXUhOTkZAMQzTfIhEnq9Hm1tbRFXdqKZYqfRaDB37lwkJCT4vVZcXIyioqKQ11AKSMJrSi2LIylQMTwRERH9/5QGQ3CiHhFHlwPAp59+Kv5cpVLh6aefVnyfPMBYrVbMnj0bK1asQEFBAWw2G1566SXs378fPp8PPp8PycnJMBgMfgHDaDTi448/xsyZMwPuIQ0j/Q0mHo8H77zzDr744oug1w5G6ayT8BqAfi3XjRcMT0RERAgcRS4MhmDFieiy0Ty6/Be/+IVfyFCpVGhtbY3oszqdDps3b8Zjjz0GjUYDr9eLL774AklJSQCA7u5uqNVqOBwOv4DhcDjg9XrR2NgYclx4f4NJbW0tmpubAQCJiYl+r+/Zswc2my3oZ4WzTtLAJ7xmNpv7tVw3XjA8ERHRqKdUcWJoIgo0Wtv3nnjiCfHnBQUFmDJlCr7+9a/361pJSUm48cYbsWDBAr8zSvKFtcIZqtzc3JDjwiMNJvKKkkqlgl6vx+233y6eb/J4PDh06BAuXboUsMtKeg3g8vAMaeAL1TIYz0tx5RieiIho1BJ2OElxFDlRcErteyM9QP3iF78Qf/7888+jpqYGFosF3/3ud8XXo2mdy8/Ph1arRU5Ojt8kPWHanjBAAkDQ80fSMBIsmMhb++TDJ8xmM/Lz8/Hss8/6nbO67rrrcPr0aezfv9/vXJfSNUZSRSlSKt8o/P8QXV1dSElJwfnz58WDekRENPoo/ZfVUfj/FomitmzZMr9zTyP1fze/+MUv/KpOwb7P6upq7Nu3D4sWLUJRUVHIa9bU1KCzsxPNzc3IyspCWloaVqxYAY/Hg7q6Oni9XrjdbvH1/hCCjl6vR0ZGBnw+H9rb23HixAnMmzcPZrNZsQokfK6pqQkXL17E3LlzUVlZKT53e3s72traUF5eHlUVSRi5bjQa4XA4xEl/sSKabMDKExERjTqsOBENzGg5/yQNTs8//zwAYP/+/Zg4cSL2798vfs3n8yEhIQE+ny9sFUqo1litVr9zQ8DlVrj8/Hy/9r3+DISQT+ozmUzIyMjAvHnz4Ha7g56P0mg0qKiowCOPPILbb78dM2fOFO8rXCPa4AR8eY5q7dq1cT84gpUnVp6IiEYV7nAiGhzy6tPSpUsDQlW8U1oaO3HiRFy4cAFXXXUVzp49CwBi1aigoEAc4BBp5UioRAnvD/frSEifR76DSel16dftdjtMJlPU30co1dXVqK+vx/z588Xlwaw8ERERxTgGJ6LBM9LHl8vPOgl27NiBq666yq96Ij13JFSWsrOzUVJSErAPCvCvJsnPDYX7dSSCnYMKN7jhF7/4BX70ox+huLgY8+fP96uADYRwzuvrX/+6GMTide8TK0+sPBERjQrBlt8S0cBIqzMjpfoU6VknKWnVRqPRoKSkBB0dHUhLS8PChQv9zvn0p5oU7H7COSL5eSKPx4Pa2lqoVKqgZ5zkbrnlFrS1tUGr1eKBBx7wO5MldfjwYRQUFKC2thYnT54Me5ZpMKppQ4mVJyIiIolgFSciGriROH1P6ayTlNK5J/m+JavVivT0dMyaNUt8fceOHUhMTMTbb7+N48eP+1V1PB4PqqqqUF1dHVCRUTr3JNzPYrH4/VhXVycOftizZw9eeumlkDubpF577TVMmzYNOTk5WLNmTdCKV0FBAdxuNwoKCgLurWQwqmmxguGJiIhGtGAVJ7bqEQ2OkTi+/IEHHhB//MEPfhDw9WXLluHChQt+f/mXBwKdTofKykqsXLlSfP3BBx/ExYsXsXnzZly4cAFOp1P8vM1mw0svvQSn0xlyKa4QpIxGIz788EP86le/wl//+lesWbMGx44dw/nz52Gz2aDX69HZ2YmpU6dCpVJFNHji888/xz//+U9ce+21aGxsDNriV1dXh+TkZNTV1fkNvwgWhuTtgvG894lte2zbIyIasZRGkfOME9HQGEnjy5UGRUjt378fBQUFqKurw4IFCwK+LrTUTZs2DcuXL0ddXR3uvPNO7NixA9/85jfxve99D7NmzcKSJUvEdrfa2lr88Y9/xIQJE7Bp06aggx6kgxy+9a1vic9ntVrx0UcfAQBycnKQlJQEg8EAp9MZ8SCL9PR0nDlzBldddRX+8Y9/KO6OkrYmyn8dr9i2R0REo15qaqrfr4VR5AxORENjpIwvDzYoQmrBggU4e/YsFixYgJaWFtx333149tlnxaqOEFSWLVsGt9sNk8kE4PLvSW9vL37xi1+gqKgIDodDrCgtX74cS5YsUQxO0mW60grXyy+/DAAYN24cfvazn2HOnDnIzc2F2WwWKztCuJo1axY2b96Mm266KWgF6vvf/z6SkpLw9NNPB4Qhl8uFpUuXoqWlRayMyVsVd+zYAbVaLf67oNTeGO8GXHm6dOkSmpubcezYMfEfu90+WM83JFh5IiIa2Tgcgmh4xPv48mgGRezfvx/Lli1DZmYm/vWvf2H8+PEoKirC//zP/+C3v/0tPvroI0ydOhUPPfQQ7HY77rzzTgD+1RsAIUeHA18up21tbUVFRUXA+w4fPoz77rsPX/3qVzFjxgxxqa3wWaHa9NJLL8HlcuGLL77Ao48+KlagSktL8d///d/40Y9+BKvVGvR5SkpKcOrUKXi9XvzXf/0XCgsLUVxcjOuvv16soBUVFeHSpUsYN24cenp6FMe6x6JoskFU4envf/87PvjgA7+g9NFHH+HSpUtITEzELbfcgttuuw1btmwZ8DcxlBieiIhGLnlwYpse0ZUVz+170na9559/XvG8k0AIBmq1Gl/5ylcwdepU/PnPf0ZXVxcmTZqEY8eO+b1fCE09PT1wu90h2+fkAau0tBR6vR6pqalQq9UBbXIulwtlZWUoKyuDRqNRDGculwuPPvoonnvuObz33ntiQJJ+z4mJidi+fbti1VB6j1mzZuHs2bNITExEZWWlWNVvbW3Fiy++KF4jXHtjrBiS8PTwww+L4w6vuuoqeDwe3H///fjWt76F2267DdOnT8eYMWMG5RsYagxPREQjEytORLEhHseXS6tO4YKT9P3PP/88Jk6ciM7OTnR1deE3v/mNX6VJIFSBEhMT8cEHH8BqtUKn0yleWz7KWzjz5PV6gwavcOGspaUFq1atQlVVFTIzM8XXhcpTQkICfD6fWDUK5fDhw1i2bBlKSkrw9NNPAwhfQYtlQxKekpKS8POf/1wsx61btw6//vWv8cQTT8BqtWL8+PGD8vBXAsMTEdHIwwW4RLEjHtv3wg2JkJO2pP3tb3+DxWLBbbfdht7e3qDhJlwAkr9XHkaCvQ58Gbi0Wi2SkpIC3rNo0SK4XC5MnjwZe/fuDbjnjh078OCDDwatPA2mWBs0MSQDI1avXo1HHnkESUlJmDBhAp577jkcOHAA9fX1uPXWW7Fnz54BPzgREVF/cBw5UWxRGl8e66TjySOxY8cOjB8/Ho899hh27dqFrKwsqNXqoCO7hfHc+fn5aG5u9tvxFOy98mAR7HWPxwOv14vk5GS/YRHS8eRVVVWYPHkyNm/eHHC/0tJSFBQU4Ac/+MGgBCfhvn/4wx8CBkYIO6ja29uD7oWKZQMeGOHz+fD888/jv/7rv3D//ffjueeeQ1pa2mA935Bg5YmIaOTgOHKi2CX/32csV6CirTwBwE9/+lM899xzWLVqFc6cOaPYiidUWYxGIxwOR0RnnqIlb/ML97pcf773SJ5n3bp16OvrEwdGCMEpNTUVjY2NqK2tDdq6eCVd0VHlKpUKTz75JD788EP09PTg5ptvHugliYiIIsJx5ESxTVp9AmJ3gW4k48mV/Pa3v0VXVxeqq6uh1+thsVgCRoAL47wtFov4Z5NWq4XX6w25sNbj8eCFF17AqlWr4HK5xNeUxozLF/SGe13uRz/6kd+P0vtEslxXTrjv66+/jquuuspvtLler8fBgwdhNBr9lgTHi0Ffkvv73/8e999//2BectCx8kREFP84HIIoPsjPPwGx97/V/lZehMrTY489ho6ODuj1emRkZPhVeYRzStKFtTabDfv27cOiRYtQVFSkeO2amhq8+OKL8Hq9mD17NhYuXKhYtVI6PxTtmSKXywWLxSJWzqQVK+E/SAWrXkVzL6Xfi3g78zR2sG8e68GJiIjiH8eRE8UPoU1PGlCWLVsWM+17/a06AcATTzyBadOmiZUdYZiDlHBOyePxiMHM5/OJ0+2CMZlM6OrqwnvvvYdbbrkFu3fvxp133onm5mY89NBD4vuki2oLCgpgt9vR1dWFxsZG9PT0oLi4WHyvx+MRp2ebzWYxuHzta1/De++9h8bGRqxevVqsChUUFMDj8cBisfjdU0p6/3BtiMLvBYBBa1m80ga98hQPWHkiIopfrDgRxadYncA32Od9gpFWcwwGg1+lJ5yqqiq89dZbUKvVmDlzZkDlSRqcOjs70dTUhBMnTuDhhx9GSUmJ3zMIQ97y8vLEa0h/DwoLC8XhcBqNJuy5qVATAOXvi6UJe1JX9MwTERHRlRJsHDkRxb5YncAX7ZS9SAjT7aqrq8WzQtLzRw6HA1lZWYpnfpTOGC1fvhyLFy/Ghg0bAs4wffjhh1izZg0+/PBD8R5z585FZmYm1Gq137VNJhNycnKQm5vrdw2LxQIAyM/Px6lTp9Dd3S2eUwp3birUBEDp9yGtUMUzVp5YeSIiigusOBGNDLG2QHcwKk9KE/V2796N999/Hz/84Q/9qj/C+4PtcSotLQ04OxWs3Q4ApkyZArfbjeTkZPzjH//wu77BYIDD4Yi42uPxeGCz2dDb24vExMSAe0m/12DXDLasN9IK1XBg5YmIiEYUVpyIRg559UmlUg3bBL6BnHcStLS04K677hIX5QrnLzs7O6HRaHD06NGAz0jP/sirM3q9Hm1tbX6VHrvdjoaGBtTX1wdUburq6pCcnAy73R5wfYfDoVjtCTZBT6PRoLi4GFqtFm63G3V1dVFXkISvA/CrWAWrUMUbVp5YeSIiimkcDkE08sTKBL7BqDotWrQIn376KVQqFfbt2+c3aKGsrAyrV6/GgQMHxKqUtGIjP08UqiJls9mgUqlQWFgYcQCRXg+AWDESAo78HJO0ghZsMmC4ClIsV5iCYeWJiIhGBKWKE4MTUfyTn38CMCzVJ6Ha1N+qE3B5mMO1116LXbt2QafTidUVnU6HyspKHDhwAO3t7XjwwQfxxhtvYNu2beJn5eeJglVnNBoNzGYzEhMTxdci2b8kvZ60YhTsHFNtbS327NmD1157LehkwHAVJI/Hgz/96U8hn6ulpQWLFi1CS0tL0PfEKoYnIiKKWWzVIxq5lAZIXMkA9Ytf/AJPPPEEnn/+efzgBz/o93UyMzOxY8cOHDhwQDEwmEwmtLa2IjU1FadOnfKrcGk0GhQUFKC2ttZvuISUEJJsNptfu1y0AxikgSlYABIqcU1NTeK1hWEV+fn5QRfnSgdkrF27Fh0dHSgrKwv6LMLi30cffTSiZ48lbNtj2x4RUczhcAii0WO4RpgP5ojyqqoqNDQ0ICcnx2+vkkDedifsTrJarXA4HIrjwwVCa59WqxVfy8/Px86dO5GQkBBVG184SktsgcsVqUOHDmH69OnIyMgIWJwrHYGenZ2NpqYmzJo1CytXrlR8tpaWFjz66KPYvHkzMjMzB+XZB4Jte0REFLc4HIJodJEHpStVgRqMlj2BEMSkgUxKGMRQVFQEjUYDi8UiVmeCjQ8XCBUjs9kMtVoNt9sNi8WC7u5uqNXqqM4/hWrz27ZtG1JSUjB27Fix/RAASktLsXfvXnR3d4uDLORtf0ajEUlJScjOzsY3vvENjB07Vhw4oSQzMxN79+6NieAULYYnIiKKKUrBieeciEY2+fmnWNkBFan8/HxotVrk5OSEPYcEAFarFenp6SgrK/MLVgACPi9tsRNCi9VqDbl7SUm4Nr8VK1agr69PHFwhtArq9XpotVoYjUaUl5dDo9EETAt87bXX4PV6oVar4XA4FCcGjhRs22PbHhFRTGCrHhFdyR1Qg9m2J7TWHTt2DF6vN2j7XqTXkU/BGwzhpuBt27YNDz30EEpKSjBr1ix0dnbi448/RnZ2dtDWwOrqauzbtw/jxo3DpUuXkJubi8LCwoAdUwBC7oYabmzbIyKiuMNWPSK6kjugBrNtT6gIzZ49G0Dw9r1Ir2MwGMJWsJSGNoT6TLgpeYWFhdiyZQtuvPFG9PT0wOFw4LrrroNarQYAxWERwiS+u+66C3l5eSgsLARwOYzu2rVLrHQJVS+bzRZRZS6WsfLEyhMR0bDjLiciElyJHVCDNWlPTmmvkrDfSWnPUzBK+5+k15LuatJqtfD5fPjTn/4Er9cLo9EotgAKn4u04iM8v9frRWdnJ9ra2lBeXo7a2lpxIIZarRafraCgIKCaJTx7YmIiPvjgA1itVmg0GvG6brd7SCprA8HKExERxQ2VSsXgRESiK7ED6oknnvD7cbAo7VWyWCx+P4YbLe7xeMTzQ16vVwxA8msIVSoAaGhowN/+9reAUejRjjNvbW3FM888g5aWFpw4cUI8kyUdiBFu5LnwdbVajaysLDidTvF9ZrM54sparGJ4IiKiYZOamur3awYnIgKUd0DJ/7wYiMFs2QOUW+bkwx3WrFmD5uZmGAyGkC12drsd3d3deP/998WJdUqDIqSBJCcnBytXrkRxcTHMZnPAM0Q6uGHJkiX429/+hk2bNuHChQtwOp0AALPZLLblyYdFKH0PPp8P+fn5AfcWPutwOKIKdbGEbXts2yMiGhYcEEFE4QzFDqj9+/dj2bJl2LFjBxYsWDDQRwSgPOhB3jInfY98T5LH48Fvf/tbNDU1Yd26dWhsbPTbtXSlhiwIfy5rNBo8//zzIXdIBRtuEcnQi3DDK660aLIBwxPDExHRFcczTkQUKfmfFwMNUBqNBp9//jk0Gg26u7sH4xEVw4DSuSXpeSjp+2tqavDiiy/C6/Vi7ty5qKysjOiewc4zeTwe1NbWore3F2q1GmazOaKQ8vWvfx2///3vsWTJEmzZsiXkealgASjWglEkGJ7CYHgiIho+DE5EFC15BWogf25otVp0d3djwoQJcLvdg/WIAaIJER6PB1u2bMF7772HZ555BjqdLuDr8iATqsJTU1ODPXv2oKWlBZmZmcjLy4toQENLSwtWrVqF559/Hr/85S+h1+uRkZGh+Nloh1EIn+lPqBtqHBhBREQxSalVj8GJiMKRn4E6c+ZMv4ZIeDwePPHEE7j66qvx+9//fjAfUfEck8/nE193uVwBXxe+BgCPPfYYfvOb34jByeVyoaSkBC6XS3HwQ6jzTCaTCTk5OXj44YeRm5sb8YCGP/7xj0hLS8N//Md/ID09PeSiW+kzSZ81FJvNhpdeegmvvPIK6uvreeYpXrDyREQ0POS7T1h1IqJoDLSFb/Xq1Xjuuefw1FNPYePGjYP6bPIR3bfddht6e3vR3NyMrKwsHDt2DBcuXMCiRYvEUeJVVVXiCHD5Ut2SkhJ0dHQgPT0d5eXlASPQo6n4BBt9Lr9GdXU1XnrpJVx77bXQ6XQoKysLOl7d4/HAZrMBAA4ePIjOzk6kp6eHbDmsqqrCH//4R6jVaixYsCDkmaoriZUnIiKKOfJJWcKBaSKiSHV2dgZM4YumAvXcc8/h4sWLeO655wb92YRK0NGjR9HR0YGmpia/CXmzZ89GQkKCXzWqs7MThw4dwr59+wKqQlarFenp6eK4cPkI9GiqNvIqVbBr5ObmIiEhAWq1WgxOSu8Twhdw+f8mFy9eFMNWKMuXL8eSJUvwwgsvoKioKCaCU7RYeWLliYhoSCm16rHiREQDIa9iR1qBmjp1Kv7xj39g6tSpOHny5JA8m8vlwrp16zBr1iysXLlSDAjSM1DS8NLW1ob/9b/+Fx5//PGIziVFcpZKOFukUqkUzxUFu0ZJSQneffddjBs3DrNmzYLValWc+FddXY19+/bhnnvuwfvvvx/ybFQ8YOWJiIhiBoMTEQ02+RLdSCtQZrMZ48aN89uFNFiEapJGo8HChQvR29vrV7GRVo+EStALL7yA6667DsuWLRMX4obaASW/TjB2ux0NDQ2K54pcLhdKS0thMBgCrmG1WnHzzTfjs88+w6RJk+B0OhXv5fP5kJCQgMTERFRUVCAjIyPiXVLxjuGJiIiGDJfgEtFQ2LFjR8BeuEgCVH19Pb744gs0NDQM+jNJq0nSNjmlMCQEoKamJhQUFKCtrQ2dnZ0oLS3Fli1bsHv3bmzbtq3fz2I0GpGUlITs7OyAUGOxWNDR0aHYYqfT6ZCcnIzp06fj0KFDQQPR8uXLsXjxYrGqJVTThO8xXACMZwxPREQ0JDiSnIiGmlIFKi0tTfG9LpcLf/3rX9HX14dPP/100J/FZDJBq9XC6/UCgFix2bJlC37xi1/gP/7jPwLChPCZm266CW+88QY6OjpQW1uLvr6+qJaGy8OKw+HAzJkzkZKSolhdEs5SKbFarZg2bRo2b97sF4ikhPAHXB5GYbPZ/M5GhTqXFe/BiuGJiIgGHYMTEV0JQgVKGqI6OzsVK1CrV69GT08PACAxMXHQn0Wj0UCtVsPtdvuFhqNHj8LlcuHDDz9EaWlpQAVKrVbjyJEjuHjxIo4dOwav14vk5OSoWgvlYSXUGHOdTofy8nI4HI6gwSg7Oxv79u0LO5hCuG9PTw+am5thMBjgcrnQ0NCAxMRExfv3Z+BFLGF4IiKiQcVdTkR0pe3YscOvwrJz505kZ2eLvxb+Qt/X14cJEyZENd48GkJoke5V2rBhA/7t3/4Nt956K/R6fUBoEHYyrVy5Evfccw9uuOEGzJ07N6LFusI9jEajGF6A4OeihM/YbDa0t7cHhDkAqK2txZ49e9DT0xM0gMm/X7VajaysLDidTlgsFnR2duLYsWOK34P8WeMNwxMREQ0qpQERRERD7Z///Cduv/128dcHDx7E7Nmz4fF48Pjjj4vT9SZNmoQZM2YMyTMIoUU64lun02Hz5s144YUXFAcraDQaFBcX45FHHsE999wDo9GI/Pz8sK1t0gqOw+EQw0so0mDU2tqqGOaESYZJSUlhB1MI36/ZbBaDlrwtUKmlMJJnjVUMT0RENGi4y4mIhotGo8Ff/vIXv9eampowYcIE/L//9//E18aOHTvkzxKsbS7UOSa73Y7u7m74fD5YLBa0t7eLwcbj8aCqqgrV1dVwuVyoqamB0WgU7xHsfi6XCyUlJXC5XAD8g1GwKXlmsxk5OTniPqpISCtdOp0OlZWV0Ol04vclbykUzobF47knhiciIhoUSueciIiutJKSkpBfH6qWPSmltjmbzRZyip4QgABAr9ejra3Nb6mtMHpcaIuTjhEP1qYnn6xnNpuRl5eHwsLCoJ8JdnZLEMnAB+l75MEu3PVjHcMTERENGAdEEFGsqKyshM/nwwMPPBDwNZVKNWQtewBw/PhxzJgxA8ePHw/4mrAbSag+yUOItAUuIyMD5eXlYrARzkXNnz8ft912G5KTk4OeRZJWm+QtdJHsiBLuF+y8k7SSFCxISd+jdM9Q1491DE9ERDQgDE5EFIt+97vfBbz27W9/e0jv+eCDD+Ls2bMoLCz0e10IFzk5OeIUvWBT55T2JgnnorRaLXp7e6FWq4MGIGm1Sd5CFw15i6EQyubPny8Gn2DfgzwceTwevPDCC1i1ahVcLlfEIS4WMTwREVG/cbIeEcWy0tJSv18LZ3+Gyvbt2zFp0iRs27bNryojnGeShp5Qi3QjCSXBqj7h9jhFQhgsYbPZxNeEUFZeXi4Gn2CT8+ThyGazYdOmTThy5MiAnisWMDwREVG/cbIeEcWysrIy3HHHHeKv9+3bN6T3mzFjBo4dO4YZM2b4BSClNjVpwIh0T1OozwiEapNGo+n3MlphsITwI6AcyiKdnOfz+XDHHXfg6quvjvvwpPJFs754hOjq6kJKSgrOnz+P5OTk4X4cIqK4JK86jcL/d0JEccDlciE9PR19fX0YP348Pv/88ytyX4/Hg7q6OhQUFES0synS90b6mZqaGnR2diItLQ0rVqzw+5zdbofJZAp6L5fLBYvFAqvVGrLlL9Ln7s/3dyVFkw1YeSIioqhxsh4RxQudTodx48Zd8ftqNBrcdNNNuOmmm3D48GHF9witdwCiPgMU7txQsOpVsIqVlFBR2rVrl1/1KtiQi3DByW63x2xwihbDExERRYUDIogo3gj/gaevrw8tLS1Dfj8hZCxbtgxutxsmk0nxPaWlpX77nAZTsGATyaQ76dh0adCKJHjJyT8TyajzWMbwREREEWNwIqJ4lJ2dDZVKhd7e3oBJeEPBbrejvb0d8+bNg1arhd1uV3yPfJ9TNOQLcCMNJZFUi6Rj06VBK5KBFfJnkYe1/gSwWMLwREREEeFkPSKKV7/85S8xduxYABjSypMQGoxGIz7++GMkJibi//yf/4M777wz4L0mkwmpqamYM2eO32cjrcjIF+AqhZKBVnmkQUvefhcqBIXa8xTPO54AhiciIooQJ+sRUbzS6XS4+eabAQDp6elDdh8hNDidTsybNw/jxo2D1+sNCDBCEAEAt9uNurq6qCsy8ul3SmPDhWvabLYBt8pFOhEw1NdGwvknhiciIgorNTXV79c+n49VJyKKKzNnzsTVV1+N1tZWHD9+fEjuIQ0Ny5cvx+LFi6FWqwNCkRBEAIjvj7YiI1+AqzQ23GQyQavV4uDBgwM+WyU8n8FgCDvkIlhrYLy37AEcVc5R5UREYfCcExGNBC6XCzfeeCO6u7uRmZmJTz755IrcV2lMdySjuyMZKR7uPsDlkeXt7e1oa2tDeXn5gCs+0hHoBQUF4jMCCPu8sTqyPJpswPDE8EREFJJ0SSKDExHFs0mTJuHs2bO45pprAlqRB4sQeoxGIxwOR9hgESwkVVVVoaGhATk5OSguLo76/sL1BjuwSK8nVJLS0tLEjgT5Xql4wD1PREQ0KOTtegxORBTPkpOToVKpkJKSMmT3EALF2rVrsWfPHmzZsiXkSPJggx4OHTqES5cu+f0HLKlgwyDk14tkul6o67tcLvHHqqoq2Gw2MYhJWw3jfRBEpBieiIhIERfhEtFI88Ybb+DWW2/Frl27huweQoiYPXs2AKCpqSnkSHKl0GG32zF9+nRcc801KCwsVAxKwc4PRTpOPBzh+haLBZ2dnVizZg02btyI3bt3o66uLmD4QzQhLZ53PTE8ERFRAJ5zIqKR6MCBAzh+/DgOHDgwZPfQaDQoKChAYmIicnNzsXbtWrS2tmL16tWw2+0BgUEpdJhMJmRkZKC8vBwAFCtXwSo90usNZECDML1vzZo10Gq1+OSTT5CUlIQzZ874tewJQUppomCwgBTPgyN45olnnoiI/DA4EdFIJW2BG8q/AkuHKghngZqbm5GVlRUwaCFcpSbSgQ8ejwe1tbVQqVQwm83QaDRwuVywWCywWq3iVL7+fg8tLS146623sHnzZhw4cABGoxFOp1P8Xtrb29Ha2oqKigpoNBq/z8vPQMXa4AieeSIion7hIlwiGsnuuecevx+HijAi3Ov1wmg0Ii0tDY8//jh27dqF7Oxs1NbWYs+ePbDZbBFdKyMjA2VlZYqVK4HdbkdDQwPq6+vFapDFYoFer/cbXx7N9yAEPaPRiNOnT+PVV1/FgQMHxF1WQoXLZDKhtbUVer0+oj1Q/T2HFQsYnoiISMRFuEQ0kv3ud79DSUkJfve73w35vf785z+LIaOgoABPPPEExo8fj/LycrECJh8GodTqJgQNh8MRstXNZDIhJycHubm5YjUo1FmrcIT7AvALYUpnqgCgoqICGRkZ4r3iOSCFwvBEREQAuAiXiEY+nU6H66+/HpMnT0ZFRcWQ3cdutyM1NRWvvPIKsrOzYbfbcd9998Hr9aKsrAxmsxl5eXkoLCwM+JwQkFwuF0pKSuByuQAELqlVOjtVXFyMoqIiAIDX60VaWlrQVr9QZ5KkX7PZbDh79iw++eQTsc1O6UzVSA1LcgxPRETEyXpENGqsXr3a78ehYDKZ0NjYiMzMTJSXl8NkMiE9PR3Lly8Xw4XSmStpVcdisaCjowNlZWUAIq9AAZdDWHd3N9RqddAwE2pog/RrPp8PiYmJmDt3rt+S36qqKnR1dSE5OXnEjyeXYngiIhrlOCCCiEYTYYKd8ONQ0Gg0qKqqgtfrxerVq6HRaKBWq+F2u1FXVxc0uEirN1arFenp6WJ4Ai6HFq/XGzawhDpvJFS05s+fH/Q90s8vX74cixcvhtlsFr8unK9qbGwMCGjxPIY8EgxPRESjHIMTEY0mpaWlKC8vx+rVq4esdc/j8WD9+vVITU1FfX09ACgulDUYDKiqqkJ1dXVA2NDpdKisrBSn5Hk8HpSWluLMmTPw+XwBwyOkbX6hWuiEilZ5eXnQ98g/L6+SCeer5s+fD6/XG9H+qZGC4YmIaBSTn3NicCKi0WCoW/eEtrlTp07B5/MFXSjrcDiwd+9evPTSS9i2bVvYawoDIAAEBBR5m18wQkVr9erVEVWIlMKQcL5Kq9Wis7MTpaWl4nWCnc0SWv0qKysVw2K8YHgiIhqleM6JiEaroW7dM5lMMBgMKC4uhtlshs1mw+7duwMCkslkwoQJEzB16lR4vd6QAxykAyDMZnNAy51Sm58SoaIljBwPVyEK1gIoPNOJEyf8RpQHO5sltPpt3bpVHKcejxieiIhGKbbrEdFoNdStexqNBmazGYmJiQAut70lJCQEtL9pNBo899xzyM/Ph1qtDjnAQToAQqktT97mF06oc1EA/MaQy+8lbSGcN28eMjIyAipN8usLrX4PP/ywYrtfvGB4IiIahdiuR0Sj3VC37kmrTUpDFwRCEMrPz0dzczMMBkPAeyINOi6XK6phDUoT/wTSdj35EAhpC6HZbA6oNMnbFIXvs7i4GCUlJdBqteLwjHjD8ERENMqwXY+IaGhb9zweDw4ePIi+vj74fL6IdiA5HA5kZWXB6XQGfC3c54WgY7FYIh7WEG6wgxDYsrOzsXTpUrS0tIjvNZlMyMjI8NshJQ14wa4thDCj0RgyDMaymAhPlZWVyMzMRFJSEubMmYO33347os8dOHAAY8eOxR133DG0D0hENIKwXY+IaGjZ7XZcd9116OzsRH5+fkTju8NVl0IRPmu1WoOeT5LfP9z9hMC2ceNGjB8/Hvv27RNb7ZTCnPS1YNcWQpXT6YzbhboqX6h63RWwbds2fOtb30JlZSXmz5+PX//616iqqsKHH36IadOmBf3c+fPnMXv2bNx444345z//iffeey/ie3Z1dSElJQXnz59HcnLyIHwXRETxQV51Gub/F0BENGxUKpX488H+s9DlcmH58uW47777cP3118Pn86GzsxNpaWlYsWKF+D6hvc1kMkUUJCJ9v/x9NTU1ivePREtLCx599FHcf//9UKlU/bqG9Lnq6ur82vliQTTZYNgrTz//+c9RXFyMVatW4ZZbbsGmTZswdepUvPjiiyE/973vfQ8PPfQQ7r777rD36OnpQVdXl98/RESjDdv1iIi+JG3XG8yhER6PBxaLBffddx86Ojr89joFq8REevZHeL/NZhMrSUpVJfl5pUgW6wZz4MABLFmyBMnJyQHfQ7QLcSNpX4x1wxqeent7ceTIERiNRr/XjUYjGhsbg37u5ZdfxieffAKLxRLRfX76058iJSVF/Gfq1KkDem4ionijFJzYrkdEo1lpaan488EaGiFMoUtPTxcX0QabjgdE36onvB/4cs+TUgCTnz8SJvUBiCrsSK8lDIaQfg8jfSGukmENT52dnejr68PkyZP9Xp88eTI+/fRTxc98/PHH+PGPf4ytW7di7NixEd3nP//zP3H+/Hnxn1OnTg342YmI4gmDExFRoMGuPglT6IRltXa7XawOVVVVBSyHDVWJUarqCO+X7nlSCmDBzh/1N+wEa2uUXjvaKlS8Gva2PcC/5xS4/H8g+WsA0NfXh4ceeghWqxU33XRTxNdXq9VITk72+4eIaLTgWHIiImWDXX0SptCVlZXBYrGgvb1drA41NDQELIcNFTiUWvQEGo1GDENA4B4mqWBBKtKwEypwSa89WqpQwxqeUlNTMWbMmIAqk8vlCqhGAYDb7caf//xnPP744xg7dizGjh2Ln/zkJ/jLX/6CsWPHYt++fVfq0YmI4gLPORERhfbv//7vfj8OhBAmHA4HUlNT8corryA7O1tcEJubm+tXIQoVOJRa9KSUPhtu31O0YUd+XipU4BKeV74sd6QZ1vCUmJiIOXPmBMyzdzqdyM7ODnh/cnIyPvjgA7z33nviP9///veRlZWF9957D3Pnzr1Sj05EFBfYrkdEFNqbb77p9+NAHD9+HDNmzEBWVhYaGxuRmZkptgaq1WoUFhb6VYhCnXlSatGTUvpspPueIh0iIT0vFS5wCc+7c+dO7NmzBzabze9+/VniG4uGvW3v6aefRlVVFV566SX89a9/xQ9/+EOcPHkS3//+9wFcPq/0yCOPAAASEhIwc+ZMv390Oh2SkpIwc+bMuJ7cQUQ02NiuR0QU3mCee3rwwQdx9uxZfOc730FVVRUuXLiA1atXhwwd4cakBzsXpfR6uH1PArvdjjNnzuDw4cMh7y1v8zt//jyOHz8Og8EQ9DPC0RvpERybzYbdu3dj3bp1cd/aN+zhqbCwEJs2bcJPfvIT3HHHHdi/fz/efPNNXHfddQCAjo4OnDx5cpifkogovrBdj4goMoN57mn79u2YNGkStm3bhgMHDiA/Px+NjY2DNqpcKtRACZ1OJ+5iUqr0mEwmtLa2Qq/Xh7y3vM3v4MGDuHDhgl/XmPw5zGYzcnJy4PP5xNd8Ph8SEhJw6623orm5OWT4inXDviR3OHBJLhGNZBxLTkQUnYqKCjE4lZeX+wWqSHk8HtTW1kKlUsFsNgNA2IWw0S6NlS6/FYJXqKW18uW40s+Hej6lZbwejwc2mw0qlcqv/VBpAa/Sfevq6uD1euF2uwe0aHcoRJMNGJ4YnohohJG2SjA4ERFFRvpnZ3/+elxVVYWXX34ZU6dOhcFggFqt9gsfg6GyshJbt27FihUrsHLlSsXwEyogKQUdJcL7tFpt2O/D5XLBYrHAarVCp9OJzxDs2aIJi1dKNNlg2Nv2iIho8PCcExFR/wx06l5vby/6+vqQlJQEQHlCnqC/O5HeeecdnD59Gu+++27Qs1C1tbXiwAb5eyJdyhtq0p98Z5XD4UBWVpZfK18057TiDcMTEdEIwXNORET9J526F+3gCI/Hg6NHj0Kv1+Ouu+6C1+sNOVgh2FmncKFq7ty5SE9Px1133aX4DDU1Nejt7QUQuEcViDy8hJr0Z7fbsXfvXrz00kt45ZVXAqb2hfoeRsIiXYYnIqIRgueciIj6Tzp1L9rBEXa7HdOnT8c111wDANi6dSvcbjecTqfimG6TyQStVguv1+sXJMINkFi5ciUee+wxrFy5UvEZOjs7oVarkZeXh8LCwqi+ByXSZbzCc5pMJkyYMAFTp07FkSNH/EaZh/seRsIiXYYnIqIRgO16REQDU1pa2u+x5UajEa2trSgrK0NiYiKuu+46aLVaMXi0t7fjwQcfxBtvvCG206nVarjdbr8gIW2rc7lcKCkpgcvlEr8eqnIkfNZsNovvkbfYAdFXf+SBR6PR4LnnnkN+fj42bNgQUJmStwZKn8FoNEbUNhjLODCCAyOIKM5xuh4R0eCRtrtFOnlPOoihoKAAdXV1yM7OxsaNG7FmzRps3LgR//rXv9DR0YHi4mIUFRWFHZ5QUlKCjo4OpKeno7Kysl/fS01NDfbs2QMAyMvLw4oVKyIeGiEY6JAHpWeINRwYQUQ0ijA4ERENnmjb91paWlBZWYnt27fjjjvugN1uR0FBAdavX493330XP/nJTzBnzhwsWrQIxcXFfu10oWoYVqsV6enpKCsr6/f3YjKZkJOTg9zcXLHaE+nQCCnpc0ZbuVJ6hnjGyhMrT0QUx+RVp1H4RzoR0aCLZmz5okWLcPToUVy6dAmzZs3C1KlTsWjRIpw7dw6/+tWvcOedd+LOO+8MGPsdbQVosCjtcApFPra8p6cnql1N8tHp0dz7SmHliYhoFOB0PSKioRHN2aeqqirodDrcdNNNmDp1KhISEuDz+ZCSkoK77roL99xzD9LS0tDT0yOOEAcirwBFW+lROislFe3QBvnYcgBRPbfNZhPvJx2jHq8YnoiI4hDPORERDR3pOafVq1cHDVDHjx/HkiVLUFNTg6effhrPPvssFi9eDLPZDLPZjLy8PHz961/3q14JVa1Ix4ZHG3YsFgs6OjqCtvtF27YnH1uen5+vWI2ThzzhuYEvw5bwvSuNUY8XDE9ERHGIwYmIaGiFO/u0f/9+3Hbbbfjkk0+wYsUKMVAIPwqhw+FwiH9Ga7VaLFmyxG98uTCJTjrKXCrasBPurFS0i2qFZwXg9/3YbDbFsCSEPKXpf0KgHIwx6sOFZ5545omI4gzPORERXRmhJu9ptVp0d3cDuLy81mQyweFwwGg0IjU1FT6fDyqVCvn5+XA6nfB6veJZIZ/Ph87OThw7dgwffvghpk2bhgkTJuDChQtYtGgRCgsLB+VsULTnm5Q+X1paCr1ej4yMDKxYsUKcvuf1etHZ2YnW1laxMjeQqXzDiWeeiIhGKJ5zIiK6coJVn/bv3y8GJ5VKBZ/Phx07duCrX/0qnE6neL7p//7f/4utW7fC5/MhPz9frCAJVZnZs2djypQpaG9vx4ULF9DX1wefzzfgZbJK5436w263Q6/Xo62tTax8Sdv4WltbodfrUVdXF3VFK14xPBERxRG26xERXTlKi3P379+PhQsXiq/dcccdOHnyJI4dO4aDBw/CYDBArVajs7MTGo0GO3fuRHt7OywWi1iVEYLGypUrkZqaiilTpqCvrw/XXHMNzGZzRK168jNG0l8rnTcK9rlQTCYTMjIyUF5eHhCKNBoNKioqkJGRofic0vsoLeuNV2zbY9seEcWRaMbnEhHR4JD+2ZuUlISenh74fD689dZbmDp1KubPn49JkyZh2rRpaGxsxI4dO3DzzTejrKwMq1evxsaNGwNa36Tju202G1QqFQoLCyOu3MhHnSst6lVqobtSI9Kl9/F6vdi8eTNUKhUeffRRFBUVDdl9+4Nte0REI1BqaupwPwIR0agkrT55vV74fD48//zzWLBgATIzM/Hee+/h3nvvxdGjR9HX14eHHnoIOp0OlZWVyMzMDKjQSEd2azQaFBcXo6ioKKqWN3l1ymg0orm5GQaDwa+FTl5pimYAhfSzLS0tWLRoEVpaWkK+T+n5pMM04v0//DE8ERHFAZ51IiIaPtJBEQKLxSL+XKfToby8HN///veh1Wrx6quv+rWs2e12vypQf0d2S0OK/IyRw+FAVlYWnE6n32fsdjva29tRWlqq+LlQpGevVq1aBZfLhUcffTTk+6SEoLR8+XI8+uij+O53vwuz2RzV9xxrGJ6IiOIAzzoREQ0vafUJgF9QEKbSJSUlYePGjTh58qQYJpSChTCye8mSJUHPAilVc0INkghWUTKZTH6DHaJhMpmg1Wrh9Xrx/PPPY/Lkydi8eXPA+6RVL6Vn7W91LRYxPBERxTh5ux6DExHRlVdaWoqSkhIAwNVXX+3XAVBbW4vPPvsMJ06c8JumN3XqVKxevRput9sv1Eh3QDU0NMDpdIqVIYFSUArVcidcE4Bf6Ao32CEUjUYDtVoNt9uN9957D3v37kVmZmbA+5SqXtHup4oXDE9ERDGM7XpERLGjvLwckydPRnd3tzjsAbjcfjd27FjcfffdAC4Hn+zsbOTl5cHtduPXv/41ACieC8rJyYFWqw2oDCmFj0ha7qShS77gNtqqj8fjgdfrRXJyMrKzs1FSUgKXy+X39ZqaGhiNxrDPGs2Uv1jGaXuctkdEMUopOLHqREQ0vObOnYu//OUvuOOOO3Do0CEAEBfHFhQUiOFl165duHjxIv785z/jxz/+MaZMmSIuyZVPuZN+fqBtbUrPIr1nNItzpRPzHA4H3nrrLdx333347W9/q7hAN9JrDeWUv/7gtD0iohGAwYmIKPY89thj6O3tFVv4gMtVFiGsCFWYqqoqzJw5ExUVFeJfyMO13A3GeSDptaRnloSKTzQLeKXVL5VKJf4jXEev1+PEiRN+14/kWvGMlSdWnogoBsmrTqPwj2oiopik0WjQ09MDtVrtt6C2tLQU6enpaGtrw9133w2z2SyOCh+sqlIk5JWlmpoatLe3o7W1FRUVFQAuD7swGAxwOBxhK1DC9ebPn4/y8nKUlZVBp9OJ35fX6w1aUYsXrDwREcU5nnMiIopNr7/+OtRqNV5//XXxNbvdjvT0dNhsNpw7d85vAMRgVpWkgp0hkleW5NP2pMMqwlWghFDY3t6OxsZGVFZWQqfTAfiywmU2m6OuKMXz+SeGJyKiGCOdrsd2PSKi2PK1r30Nr7/+Oh544AH84Q9/AHA5oLS1teGWW26BVqv1GwDhcrkCBi0MhmDtd/L2uGDT9iJpo5NPEZTq7zAKaSCLdnR6LGB4IiKKMdKqE4MTEVHseeCBB/D5559j8eLF+MMf/gCNRoN58+Zh/PjxuOeee7Bp0yYxrFgsFpw6dQoPPfRQyEqLUjVG/prwa5fLJU7Bk4ca6fkr6bhyecCJpCImnSIon5pns9kiPjslJVTpnE6n316oeMHwREQUQ+Q7nYiIKPYILXsqlQoPPPCAGFJycnKQm5uL0tJSGAwGaDQaWK1WeL1eLFy4UDFoSMNIe3u7374nobpks9n8AovFYkF3dzfUarXiKHCbzYbdu3dj27Zt/f4ePR4PfD4fcnNzUVhYKL5WWlqKlpYWHDx4UDG8hWMymXD69GkYDAa/vVDxguGJiChGcKcTEVF8+NrXvob169fD5/Nh3bp1sNlscDqdOHjwINavX4+Ojg6UlZUBgDj17uTJk2KlRRp0hIAEwO9sEvBlax1wuROhp6cHzc3NWLNmTcAUPWlg8vl8SEhI6PewISEknTlzxi+gCRP23nrrLUyfPt3va5EayNLeWMDwREQUA7jTiYgovqxfvx4AsG7dOvzXf/0X3nnnHXz22WeYMWMG3G43Vq9eDeBy4Dh48CAuXLggVlrsdrtYZRJGm5vN5oBQIR/KoFarkZWVhcbGRqjVarjdbjFoSQPT0qVLMWHCBOTn5/frexNCUltbW8A5qYyMDLz66qvic/Zn+MNQDdG4EhieiIhiAIMTEVF8kU7bO336NM6ePYsJEyZArVYjNTUVGzZsgMfjgclkEtv5hCAinYC3a9cu+Hw+sQplMBj8zisBypPt5AMfli9fjsWLF8NsNsPhcCArK0sMa9EGHCEklZeXA4D4WeE5dDqdGH6i2RsliOdpe9zzxD1PRDTMuNOJiCg+/eEPf8D999+Pvr4+pKSkYPHixZg7dy5efPFF3H777TCZTEF3H8n3JDU3NyMrK0v8Ubo3Sb67KRz5bqmamhp0dnaKYau2tha9vb1Qq9XiPqpgpJ9Veh4AYfdYyZ+/qqoKDQ0NyMnJQXFxcdjvZ6hxzxMRURzhOSciovj0ta99DVlZWRg7dizOnz+PP/7xj/jLX/6C2bNn45prrgnZ1iavJlmtVr8fDQZDwLmourq6iKo28rY4aZXKbrdj79692LRpE5xOZ9iKkdJIc+nzhGvBkw6ZEIZhqFQqABB/jCcMT0REw4g7nYiI4tv27duhVqsBAElJSfjKV76CiRMn4plnnoFGoxEHObzyyishQ5TQCif8uGvXLuzatQtPPfWUeC5KCD/B2uTCBTVheMWECRNw++23Q6vVhh3aIHzW5XJh0aJFaGlpCbsjSj757+zZs9i3b584DMNsNiMvL0+c4hdPGJ6IiIYRdzoREcW3GTNm4LbbbsNVV12FxMREHD9+HHq9XjxvJAxyOHToEPbs2QObzQYgeNARXu/p6cHJkyfxwQcf4I033hBb5oLtdwICR5u7XK6Ae2g0Gjz33HMwmUzYtGlTxEMbVq1aBZfLhUcffVQMVAAUvwdpwPP5fEhMTMQ3v/lNpKamwuv1AohusW4sYXgiIhom3OlERDQyLFu2DFqtFnfccQfcbjc++eQTse3u7rvvxunTp3HLLbcA+LJVTTpxTxpyhOChVqsxY8YM6PV68Sys3W4P2O8kJR9tbrFYFKtU/Zl2V1VVhcmTJ2Pz5s0AvmzHa29vD7i+tDIlDLJYuXJlwITAeMSBERwYQUTDgKPJiYhGjurqauzevRt/+ctfMHHiRHz7299GcnKyGFzcbjduvvlmJCcnw2q1QqfTieFDr9ejtbVVHBJRUFCAuro6GAwG7Ny5EwkJCSgsLIRGoxEHQRgMBjgcDnFgg91uh9Fo9Hutrq4O2dnZ2Lhxo3jPwVRTU4P29na0tbWhvLy8X4MsYgUHRhARxTgGJyKikcNsNuOzzz7D+PHjce7cOSQlJcFoNKK5uRm5ubk4f/48PvnkE3z22Wd44403xM/NnDkTJ06cwJo1a/zOEPl8PuzatcuvyiRUpQoKCuBwOMRgJlSqpFUmobJ04MABv5HlwOCNCZeOM48mCMV73YbhiYhomDE4ERHFN41Gg9raWkydOhWnTp3C+++/j7Vr10Kv1+PkyZOYPHky+vr6cOrUKb8WPGF5bmNjY8DeJAB+gUp6jkjaFieENGkA83g8qKqqQldXV8D5qGj2MoUKWv1p/evPTqhYw7Y9tu0R0RUmbdlj1YmIaOSYOHEiuru7oVKpsHTpUpw7dw7PPfccnn32Wdx444345JNPsH79erFtz2azQaVSiW15QPDWtmCvK+1hqqmpwZ49ewAAeXl5frumImmdE6pcPT09cLvdftdWel9/90/FimiyAcMTwxMRXUFciEtENHL94Q9/gMlkwve+9z10d3fjxhtvFM8zKS2/HQxKgSRYMIuUEMi0Wi2SkpIUg1wk4Ur+nNEErSuJ4SkMhiciGg4cEkFENLIJQxQ+/vhjzJ49G0lJSViyZAmcTicMBgOcTqcYREKFif4GjcEKKOEqROHClRLpZ9RqdUyFKA6MICKKQQxOREQjm8lkQmtrK7q7u9HY2Ai1Wh2w/FYIDPLzP9LzRcHOBoUb9hDuc0p7n5SEO88knLnKz8+PuINCPkY9Xs89MTwREQ0DBiciopFHo9GgoqICCxYsgM/ng9PpREtLi2JwkQ59AIIPhJCSL8GVhyDhc8KOKeHrShP5IqUU2DQaDQoKCmCxWBT3PAX7vVmxYgXMZrPi9xYv2LbHtj0iugI4JIKIaPSoqanBL3/5S/zzn/9ERkYGrrvuOiQlJWHmzJkhhy8Ea5UTqlFGoxFOpxNer1c8a1RQUBDQqicfIiHdDyVtHYz0e5EPpBBeb2lpQUNDA6qqqnDgwIGYasWLBtv2iIhiiPysE4MTEdHIZjKZcP3112PMmDGYMmUKLl26hEuXLgWMDZdXdZRqGsIy3fb2djidzoDqjVKrnrxyJVR95K2DkX4v0msJz2w0GnH69GkYjUZs3LhxUMafxwOGJyKiISY/60RERCObRqPBPffcg8mTJ2PevHmYMGGCeA5K4PF48OSTT+KNN97Ali1bxIAkDyB2ux16vR4nTpyA1+uFx+PxO5NkMpmg1WrFrwn3LygowG9/+1usWrUKLpfL777RhBf5+SchrDmdTlRUVCAjIwNr1qxBc3MzDAZD2OvF+64nhicioiGUmprq92tWnYiIRge1Wo3MzEwAwIkTJ3Dy5El0d3ejrq5ODE7vv/8+2tra0NTUBL1ej7a2toCzQCaTCRkZGZg3bx7cbndA6NBoNFCr1ejs7ERpaanfOadXX30VTU1NKCsrE98/0PAirUQJwWrfvn3o6urCG2+8EfbzwlLfSIJWLGJ4IiIaQqw6ERGNTmazGTfddBPWrl2LS5cuISkpCVqtFgaDAXa7Hd3d3UhISMBtt92G9evXIyMjA+Xl5X67mmpqagAABQUF8Pl8SE5ODhgGAXw55U+v16Ourg4ulwsNDQ3Iz8/HnDlz/MJTsGEUkVKaxOfz+ZCQkODXdhiswuVwOJCVlQWn09mv+w83DozgwAgiGiIcEkFENLpNmTIF586dw6VLl2C1WnHs2DHk5OTAbDYHXWKrtID2woULaGhoQE5Ojlhlkg9wkA6c5sKd+wAASL5JREFUKC0tRUdHB9LT01FZWTno39fhw4dRUFCAuro63HnnnX739ng8sFgsuO2229Db2xvyOWNluAQHRhARDTMOiSAiorq6OqjVajz66KPYs2cPLl26BJVKBeByW588OAFfttUBECtEwmdUKlXQypG0ImS1WpGeno6ysrKACtBgDGz493//d5w+fRr333+/+JpQj7FYLOjo6MC7776r2J4XbodUrGN4IiIaAmzXIyKiO++8E0eOHEF9fT3uuusuXHPNNSgsLERtbS327NkDm83m936PxwOv14vk5GSYzWYxZJjNZuTl5YlhK1j4EIKRRqNBZWUldDpdwBmnSM88RROypNcUgttdd90V1+15wTA8ERENMg6JICIiwcaNG5GZmYnDhw9jzpw5AOBXSZISzkKp1Wq/cBRptSaSseWRnnkKFbLefPNNTJkyBb///e8DrqnT6VBZWYmVK1cGvU88jyvnmSeeeSKiQSb9f4Y860RENLq5XC6UlZVh5syZ4hkg4byQ/NzPQM8DDeZ5oqE8mxRs8e5w4ZknIqJhIq06MTgREZFQifnGN77hdwbI5/PB5XJh1apVqKysDNjfFEyoqo3S55XOPFVVVaG6ujpk5WcoziZJF+wOZOLfcGJ4IiIaRBwSQURESnbt2iXuQhJa4latWoWmpiZs3bo14r1L0e5pUjrz1NDQgPr6+oivMVhtdsKz7Nq1C/Ha/MbwREQ0SORnnYiIiARerxetra3wer3iotg1a9bg9OnTyM3Nxfnz58NWg4Do9zQpnXnKzs7G+PHjI1pU6/F4UFpaivb2dnHBb7RBSl5xAjCgRb3DaexwPwAR0UjBCXtERBSM9DyssCj2qaeewpgxY/Daa6/hK1/5Ck6dOgWVSoWioqKg1xHa6SIlf79Go0FycjJuvPFGrF27FnfffTfMZnPQ9jy73Q69Xo+2tjY8/vjjfpWsSJ/DZrNh37596O3tRVFRkd95qnjDyhMR0SDgWSciIgolMTER119/Pbq6ulBZWYnt27fj61//OpKSkjBjxgycPHkSFy9ehNfrHVB1J9RnpBWg1tZWdHd3h23fM5lMyMjIQHl5OTQajVjJys7ORklJCVwuV9hn8/l8SEhIEFv14nnXE8MTEdEg4FknIiIKZfny5UhOTsZ//ud/4siRI/joo4/wz3/+EwaDAWPHjsWlS5dw7tw59PT04Mknn8Qbb7yBbdu2RXx9pd1RQlhqaWlBSUkJtmzZgs7OTjidTlitVkyYMAHZ2dkBFSBpEJNWrmpqagAAK1aswMaNG3Hq1Ck89NBDYUPe8uXLsXjxYpjN5oi/n1jF8ERENEA860REROFoNBr8+te/BgD09vYCAJ566ilUVFTAYDDg1ltvxe23344dO3bg3LlzOHXqVNChCkoT85R2R0kHU3R0dKCpqUk8/+RwODBz5kykpKQEVICUhlLIX7NarfB6vbj77rtRWloaEKCUAlg8VprkGJ6IiAaIZ52IiCgSW7duFX/+2Wef4dFHH4XNZoPZbMYLL7yAq6++GqmpqVCr1bj11luRn5+veB2liXlmsxl5eXkoLCwU3ye02D3//PPo7u7GU089JQayUIMnhIEW0oES8vfrdDrs2LEDnZ2d0Ov1Aa1/oaYCxvOSXIYnIqIB4FknIiKKVGFhIX76059i3LhxGDNmDJqbm1FVVYVXXnkFdrsds2fPRlJSEq666irMmDEDTqdT8Tomkwk5OTnIzc0Vw4y0uiOEE+Byi11TUxOWLFmCX/7yl36BJlhlSxhoIb2/UvVIo9GgoqICGRkZASFMHsCkgSnaceuxhOGJiKifUlNTedaJiIii8oMf/AAPPfQQMjIyoNVq4fP5cOTIEXR2dkKtViMvLw9r164NqPwIhPCRn5+PxMRExXvIw4l0NLpQPQoVYKRVplBVIuFZDAYD7Ha733vkAUx6v2jHrccSlS9eN1QNQFdXF1JSUnD+/HkkJycP9+MQUZyS9pWz6kRERJFqaWnBd77zHSxevBg6nQ45OTnYuHEjrFYrNBoNSktLodfrkZGRIQ5rEIJKV1cXDhw4IFan0tLSAkaGS0eBazQa1NTUoLOz0++98vcEI3xWq9VCrVbDZDKJ7xe+1tzcjKysrJDXj/R+wyGabMDwxPBERP0kDU+j8I9SIiLqp5KSEpw6dQpdXV246aabMHv2bPT29iItLQ0+nw/t7e1oa2sTx4MLi2r1ej0+/vhj9PT04O6770ZKSkpEYWQgwUX4rNfrhdvt9gtILpcLFosFa9asQWNjo19Qqq2thUqlCrlDKlYwPIXB8EREAyVt2WPViYiIouFyufDQQw+hq6sLfX19mD17NmbNmoWjR49i3bp1fkEEuFzhEQJVWVkZnE7ngCs4QiVLWkkK9/66ujoYDAY4HA6YTCaxFU9e/aqpqcGePXsAAHl5eVEt9R0O0WQDnnkiIooSzzoREdFACJPqvv3tb2POnDlYv349PvjgA3R2dmLDhg0B3QzSRbU6nW5Qxn7bbDbs3r1bcZeU/JyTELSEEefhzi5JB1oYDIaAa8XrpD2A4YmIKGocTU5ERAOl0Wjw2GOP4dlnn8XOnTtx0003YeLEibh48SLa29v9BjlEsicp2lDi8/mQkJCg2HYuHyYRbNiDfIGucG+NRoPi4mIUFRX5hS2la8cbhiciogFg1YmIiAbCZrOhqqoK27dvx9ixY3HLLbegra0t6kl0SqHE5XKhpKQELpcr4P1Lly7FhAkTFHdJyceMKwUmaZCLdHKf8GutVguv1xuX1SeGJyKiKMj3OhEREfWXx+PBwYMH0dfXB5/Ph1mzZkGr1aK3tzfqYKE0Xnz16tV49913sW7duoD3K+1yCva1cJUvpfY96a4pYTS6x+OBRqOBz+dDfX09bDZbVN9jLGB4IiKKEM86ERHRYLLb7bjuuuswYcIEFBYWQq1W4+jRo+js7ERZWVnIz8rb9DQaDQoKClBbW4snn3wS7e3tUKlUSEpKwqxZswI+H2rXUrR7mMJVo6Q/93g8ePvtt/HJJ5+gp6cnouvHEoYnIqII8awTERENJpPJhNOnT2Px4sU4fvw46uvrMWPGDKSnp6OsrCzkOSalVjm73Y6GhgZ0d3ejra0NGzduxGOPPYaVK1cGfD5UNSnYWSY54flcLlfA+6QBTPpzu92Onp4eJCQkQK1WR/tbNuw4qpyjyokoAhxNTkREQ0EYAX7+/Hk0NjYiNzcXRUVFAEIvqFXa3eTxeGCz2aBSqbBkyRJxpHh/J/MpLddV+vqxY8fgdruRnJyMTZs2hR1sITxjYWFhTOyA4p6nMBieiChaXIhLRERDSQgVPT09UKvVyM/Px86dO8WJeG632y9EeTweWCwWWK1W6HS6gOuFCz6RPlOo5brS4Ld161ZMnToV+fn5AfeLdqfUlcbwFAbDExFFQ37WaRT+sUlEREPM5XJh+fLlmDhxIpKSkqDVapGVlYW0tDQYDAasXbsWly5dwi233IKMjAz86U9/QkdHB9LT01FZWRlwvXDBZzCFqiZ5PB6UlpZCr9cjIyMjJhfmckkuEdEg4lknIiIaamvXrsWZM2fgcrmQm5uLNWvWiOPCHQ4HvF4vvF6vOMbcarUiPT0dq1evVlxCCyDkhLzBXFYr3eskv5/NZsPZs2fxySefRD1+PRYxPBERhSAfTc6zTkRENBRmzJiBzz//HA888ACKiopw4MABZGVlYdeuXfB6vZg/fz6MRiPKy8uh0Wig0+lQWVmJAwcOKC6htdlsAaGqqqoK1dXVYhvdYCyrDRfCfD4fEhMTMXfu3Jhs2YsWwxMRUQgcTU5ERFdCcnIy7rrrLqjValRVVaGrq0tsIevu7kZycrJiZSfYEtqDBw+ivb3dL1Q1NDSgvr4edXV1UY8jDyZcCFu+fDkWL14Ms9k8oPvECoYnIiIiIqJhZjabkZOTg3feeQdVVVXYv38/1Go1zGazYsgJ1p6n0WigVqsxffp0scUPuByqcnJykJubK77W3zO80mqTEMIMBkPI9kGPx4OSkhK4XK5+3TNWMDwREQUhb9kjIiIaKkLoOXfuHFpaWtDX14f6+np4PB7Fs0vBKj4ejwderxdpaWlii59wfem5pHAVo1DteDabDbt378a2bdvEnVAOh0OxfVBYjLt8+XKcOnUq7PLfWMfwRESkQD5hjy17REQ01EwmE86dO4f09HQcO3YMnZ2dAWFDCDVGo9GvIiW8brPZ0N3dDbVaHfKMUbi2PaVwJZyb2r9/P/r6+sTKlRDYkpOT/Spd0sW42dnZaGlpwerVq/v72xMTGJ6IiBRwwh4REV1pGo0G27dvx913343XXnsN6enpAeHJbrejvb0dFovFbwy5EHYAhD3LJAyMCDXGXBp+pMGsoaEBHo8HnZ2dyM/PF+8tD2xCRUqj0cBkMqGzsxOPPPIIGhsbB/i7NLwYnoiIwmDViYiIrhRhip5er0d2drbigIjW1lbo9Xq/qpDRaERzc7O4pDZU1SmSSXvS8CO8v6enB0lJSZgwYQIMBgOcTqf4TPKgJW/3mzNnzqAMqBhuDE9ERDI860RERMOttrYWe/bsgc1mE18TKkZWqxUZGRl+QcThcECv18NisYTc3aTUYhfqvdIWQbVajZkzZ+Lee+/1u79S0JIGM7vdjjNnzuDw4cP9+a2IKQxPREQSPOtERETDzePx4NChQ7h06RJUKpVf21xnZyecTmdAdcloNMLhcCA9PV0MLkpVIKUWu2CEICTcT5j8ZzabsWLFCgBATU0NXC5XwPQ9aTALVi2LRwxPREQSPOtERETDzW63Y/r06bjmmmtQWFgY0Xkmh8MBo9GIjo4O8etKC3OF9r7s7OyQy22By4Hs2LFjOH/+PDwej1+FSXp9i8UiVpuE9wAQr6/RaFBRURFQLYtHKl9/B7zHsa6uLqSkpOD8+fPi8jEiImnVadKkSaw6ERHRsPB4PKirq4PBYMDOnTvR29uLpKQkFBYWQqPRiO17JpNJDDLCZ6RDIITXvF4v3G430tLS4PV6sW/fPowbNw6XLl1CTk4OiouLFZ+jpqYGe/bsAQDk5eWJoUi4v9FohNPpFM8/SUNbV1cXGhsbQ14/VkSTDVh5IiL6/7Fdj4iIYoFGo0FBQQHWrl3rtzBXXvGRtsAJn7Hb7WI1SXjN5/NBrVbD6/Wip6cHCQlfRgCVShX0OYTFuvPnz8f58+dRXV0tBidpO59Opws483T06NGw149HDE9ERERERDFGOJvU19eH06dPi61zwOVQo9Vq4fV6A84zyUNVbW0tGhoacOTIEbjdbqjVaixevBgbN25EXl4eCgsLgz6DsFhXq9WisbER9fX1qKurCzjXJD1bJXxt3bp10Gq1WLJkyZD8/gwXhiciInDCHhERxRaTyYS5c+eiu7sbEydORGNjI+rq6sTKDwC43W6/oKQ0rEGo/AijwoVhD9JqUSTPIlSgvF4vAPh9tra2FnV1dbj//vvh8XiwYsUK7Nu3D11dXXjjjTcG6XckNjA8EdGoxwl7REQUazQaDT766CPccMMN6OrqEoOLMHEPCBweIR/oAABmsxl5eXl45JFHIg5LSs8iVKDkgQ24HNDef/99nD9/Xlzq6/P5kJCQAK/XG3YwRTzhwAgOjCAa9aT92BwUQUREscLlcmHdunW49dZbcfz4cUyfPh2pqalISkryGwwxlKTDKQAEDKUQ3rNlyxa89957eOaZZ6DT6RSHVQhnsqSDLmJBNNmA4YnhiWjUk4anUfhHIhERxbCqqiq8/PLLuPbaazFhwgSMHTsWGzZsEIcz9CeIKE3rC6ampgadnZ1IS0sTp+1Fey8hcNlsNuzbtw+LFi1CUVFR1NcaKpy2R0QUIelZJyIiolijUqkwdepUXHPNNQCApqYmrFu3TnE4RKTsdjva29tRWloatp1O6RxVNKSthEIrXzz/h0qGJyIa1bgUl4iIYpnZbMaCBQvQ09MDt9uN8+fPY8aMGX6hRjrtTk7payaTCa2trdDr9WHDl9I5KqXru1wuxWeQ3n/58uVYvHgxzGZz9L8RMYLhiYhGLfmEPZ51IiKiWKPRaHD06FHU19fj7bffRlpamthaJlRwbDYbdu/ejW3btvl91uPxoLS0FO3t7bDZbGKI0Wg0qKioQEZGRlQVJaUgJlTALBaLWAmTvk9aIROCGIC4HSLB8EREoxIn7BERUbyYPXs2EhMTkZGRgdtuuw2FhYWora3Fnj17YLPZgrbD2e126PV6tLW1AYBfm1+4ipISpVZBoQJmtVr9hkII71Nq+xtIy+Fw48AIDowgGpU4YY+IiOKFMM3u3XffxVe+8hUkJyejp6cHjY2NyM3NRWFhYdApeMLrgPKkvGifI5JrhHtfpNe5UjgwgogoCgxOREQUyzQaDZKTk+H1evHiiy/C6XQCALRaLXJyclBbWysur5V/Tqgu9afSFOp64d4nVKCkrXlCOx+AAT/LcGF4IiIiIiKKcSaTCWq1GikpKRg/fjzUajWysrKwceNGNDQ0wOl0orS0FC0tLSgpKYHL5RI/G2qgxFBRas2L53Y9AcMTEY068kERREREsU6j0eDee+/FzTffjHvuuQf5+flobm7GmjVrkJOTA61WC71ej1WrVqGjowNlZWXiZ4cytHg8HlRVVaG6uhoej0cMakajMWAaoPS1eMUzTzzzRDSqyAdFjMI/AomIKE65XC5YLBasWbMGGzduhF6vR0ZGBlasWCGeI8rOzsaGDRtw6623Ijk5WRwLPlRnjGpqarBnzx4AQF5eHnw+X8BS3YEu2h1qPPNERBQE9zoREVG8cjgcYqueMEVPWsXx+XzQ6XRYuHAhjhw5gvr6er8R4fLgFEk7X7j3mEwm5OTkIDc3FwUFBTAajWhubobBYPB7T1paGu644w4sWrQILS0tA/uNGEasPLHyRDSqSKfsjcI//oiIKI55PB7YbDZ0dXXhww8/xPr166HT6QD4V3cKCgpgs9mgUqlQWFgIjUYj7lwymUzir0tLS/2qV0qirRqFev+iRYvgcrkwefJk7N27d+C/IYOElSciIgXSs05ERETxRqPRQK1W48iRI3C73bBYLHC5XIrnidRqtRicAP9zT0JwSk9PD6heCYSzTP/6179w/Phxv0pSKEp7nQRVVVWYPHkyNm/e3N/fgmHHyhMrT0SjBnc7ERFRvBN2Pm3fvh2LFi3C6dOnkZWVFfaMkXS3kt1uR3t7O9ra2lBeXq54Dko4y3TixAmMGTMGRUVFKC4u7vczS6tesYaVJyIiGfmEPQYnIiKKR8LOp7y8PHR0dMBqtQZUepSqP9JzTyaTCRkZGUGDk3CNnJwc3HzzzZg6dSp6e3v7Pe58JIwoF7DyxMoT0ajAs05ERDRSCGefAMBsNg9pNUeoWHm9Xrjd7qgn5nk8HtTW1iIhIcGvjTCWsPJERERERDRCCWef3G43bDbbkC7AFSpWZrM5oh1N8ul8drsdZ86cweHDh4fk+a40hiciGvG4FJeIiEYaoTUPANrb21FaWjpkAQpAxOPO5S16JpMJra2t0Ov1I6Jtj+GJiEY86W4nnnUiIqKRQFoRiiacRLLbKZrPyMPS/PnzsWvXLmRnZ4vPabVa0draGvHEvljG8EREIxqrTkRENJJpNBpUVFQgNTUVXq8XHo9HMewIr9lsNnR2dsJms6GqqgrV1dVhg1SogQ/y4RQbN26EVqtFeXm5+B5hua/T6RyU73k4MTwR0YiVmprKqhMREY1YW7ZsgUqlQkZGBlpaWlBfXw+bzSaGnS1btqCkpAQul0t8DYDY7tfQ0ID6+vqwFStpQJIHM3k7n9VqRXp6OsrKyhQ/H+84bY/T9ohGLO51IiKikSwhIUGcIJuUlIRly5bBaDSisLAQdXV1qK+vR2dnJ9LT07Fs2TI88MADePXVV+F2u2E0GrFr1y6oVKqIpuAJu5p6enpCTt2L9Z1OSjhtj4hIhsGJiIhGmpdffln8+W233YZrrrkGhYWFAC6v5Vi3bp1YBTKbzbh06RIefPBBtLe3w+l0ori4GEVFRWGHQAAIqFxJq0jS94+knU5KGJ6IiIiIiOLQypUrkZaWhoSEBDQ3N4tLb4UA09jYiMrKSuh0OuzYsQNjx47Fd77zHZw4cUI8H6VEGoCEYGQ0GpGWlgaz2RwwdU94/5o1a7By5Up88sknI6JFTwnDExGNSBwUQUREo8G9996LcePGwWAwiIHGZDJBq9X6BaQFCxbA5XLh3nvvxbx58+B2u4NWh4xGI5qbm2EwGFBbW4s9e/bgtddeC7pkXjjT9Otf/xpffPEFXnzxxZAte/2Z+BcrGJ6IaMThoAgiIhotXnzxRXzrW99Cbm6u3xAHANi3bx+2bdsmvlej0aCgoAA+nw/JyclBq0PS6XjC+eGmpqaAdjwhBAHAihUrsHXrVqhUKixYsACVlZVBw5HNZsPu3bv9ni1ejB3uByAiGmzS4MSqExERjWQ6nQ6zZs1CTU0NVCoVSkpKAFw+8yQdKAEALpcLy5cvx3333Yfrr78+aHXIZDKhrq5ODFdJSUkwGAxwOp3iax6PB6WlpdDr9bDZbFCr1TCZTPje976Hd999F1u3bkVKSoriUAmlZ4sXrDwR0YjGqhMREY10R48eRW9vL44ePQrgcrDp6elBUlIS8vPzxfdZLBaMGzcO27ZtC7mwVjp+XPpzadix2+3Q6/Voa2sDALEqtWbNGmi1WnzjG99QHG0OAMuXL8fixYthNpsH+7diyDE8ERERERHFsQ0bNmDmzJm4ePGiuNPp4MGDcLvdsFgsYnCxWq24dOkSCgsLo15YK5x9stlsAC5Xp1JTUzFnzhzk5+eLE/gOHDiAvLw8fPTRRwCCL9iNx6oTwPBERCMMB0UQEdFoo9PpMH78eJw7dw5lZWUwGo0YM2YMTp48iX/9619i4BGm7l1//fUwGAxRDW0Qzj4JPwqVqPr6euzatQsFBQWw2+0wGo1obW2FXq9HXV2d4oLceB5nzvBERCMGB0UQEdFotWbNGnR3d2P16tVwOBzo6+vDF198gY6ODr+l8UIb3q5duyIa2iC03eXn5yMvL0/cIwX4ByohEDmdTlRUVCA1NRVerxcAxLY/+djzeBxnzoERRDRicFAEERGNVgcOHIDBYMDGjRthtVrR09OD+fPnQ61Wi4FHWGJrMpkiHtogDUXy4Q9msxlJSUliCKqrq4PBYIDdbgcAcRy68LlQ14oXrDwR0YjEqhMREY0mJpMJH3/8MT777DP87ne/g1qtxiOPPIKioiJxqp50RHiooQ3SIQ/SnU/yrwMIGCzhcDjE/x8sry4ptfDFG4YnIiIiIqI4p9FoMG/ePIwbNw5HjhxBZ2cnbDab37kmabVJOkVPTnomSbrzSenrckJAMpvNiteP10ERAoYnIhoROCiCiIhGO2GH0+zZs5GcnIyenh6/c01Lly6FWq1GT09PyEER0gqRUHnKzs4Wg5jwdaWhE5GGsnil8sV7/OuHrq4upKSk4Pz580hOTh7uxyGiAZIPihiFf6wREREBAGpqatDe3o7W1lbcdtttePvtt5GYmIgFCxYAAOrr6wEAeXl5Ic8dCeejenp64Ha70dzcjKysLKSlpYmfq6mpQWdnp99roXg8HnH5brAFvcMhmmzAyhMRxT0OiiAiIrrMZDKJo8LVajWuvvpq9PT0iKEpJycHubm5Yc8dCVUi4PLZJavV2q8zTPIlufH+HzhjovJUWVmJ8vJydHR0YMaMGdi0aRPuvfdexfe+/vrrePHFF/Hee++hp6cHM2bMQFlZGb72ta9FfD9WnohGDmnVadKkSRwUQUREo97x48fx4IMPYvv27dDr9bDZbFCpVCgsLIy44hOuSiSd3BfqmkJ1SqvV4s9//jP0ej0yMjJiatpeXFWetm3bhqeeegrr1q1DU1MT7r33XuTl5eHkyZOK79+/fz8MBgPefPNNHDlyBDk5OcjPz0dTU9MVfnL6/9q7/+ioqzv/46+BkIkMCauSIGzQgNJol9byS+RXodgMUEUz9RwTl12x0B9woAKadRX+CPSsZRdiaz0VrIIeurEZusVBtJpOWCHYgkX5ofxw03U3BAqhc4KSH7PMRPDz/cPvfJpJJmEmJPnMJ3k+zslx5jOfmdxc7wm8uPe+L5AMONcJAIBoS5cuVX19vX74wx/K5XJp0aJFZtW91jNB7Wlv71Lk/V6vN679Sx6PR+np6dq/f7+GDx+umpqahA/oTSaWh6ef/OQnWrRokb773e/qtttu0zPPPKMRI0Zo06ZNMe9/5pln9Pjjj2vixIkaPXq0fvzjH2v06NF6/fXXe7jlAAAAQPK59957lZaWpmHDhrUJKGVlZSovL5fX6+3wM1qGrJaPWy/nu9LyP5fLJafTqdGjR6u2tlZr1qxRcXGxzpw5Y8vCEZaGp+bmZh08eFButzvqutvt1r59++L6jM8//1yNjY267rrr2r0nHA6roaEh6gsAAADojX7wgx9o5syZCofDWr58eVSAam5uVnV1tcLhcLvvDwaDKioqMgNOyyp5VypFHovH41F2drY2bNggv9+vnJwc1dTU2PK8J0vDU11dnS5fvqyhQ4dGXR86dKjOnTsX12c8/fTTCgaDeuCBB9q9Z926dRo8eLD5NWLEiKtqN4DkQHlyAADacrlcmjx5smpra3XhwgUVFRWZASo1NVU33nijDh061O6yubKyMn366af6+OOPlZ+fH1UYoqNS5B2JlFloGaSSqeJevCxftidJDocj6rlhGG2uxVJWVqY1a9Zo27ZtysrKave+J598UvX19ebX6dOnr7rNAKzVujw5+50AAPirwsJCLVy4UNdee61ycnLMJXIPPvig/uZv/kajR49ud9mcw+FQSkqKJk+eLJfL1anAFGupn9frlc/nS7pS5YmwNDwNGTJE/fv3bzPLFAgE2sxGtbZt2zYtWrRIv/71r/XNb36zw3udTqcyMjKivgDYG+XJAQBon8vlUmFhoSZNmhS1N8nlcqmkpERDhgxRKBSKOftUWFiouXPnqqCgIOZnxyo60fparKV+kmx/SK6l4Sk1NVXjx49XRUVF1PWKigpNmTKl3feVlZXp4Ycf1q9+9Svdfffd3d1MAEmOWScAANry+XxqamqS0+mMmumJFHFobGyMGWRazzR1FIxafq+W12It9SssLIyryEQys3zZ3qOPPqrNmzfrpZde0kcffaSVK1fq1KlTWrx4saQvltw99NBD5v1lZWV66KGH9PTTT+vOO+/UuXPndO7cOdXX11v1IwAAAABJZ+zYsXrxxRf1ta99rc1r8RxwG9FRMJK+CFehUEgZGRlRM1yRABYJX5I6tV8qmVgengoKCvTMM8/oRz/6kb72ta9p7969evPNN3XTTTdJkmpra6POfPrFL36hS5cuaenSpRo2bJj5tXz5cqt+BAA9jEIRAABc2SOPPKJ+/fqZFfdazh4lso+pdVhqHYyKiop0/vz5NjNcEbFmquzKYURKX/QhiZwiDCD5tCwo0wd/hQEAEJfq6mp973vf04svvqg//OEPqqurU3p6upxOpzweT5fMAJWWlqq6ulp79uxRWVlZzCJuwWBQO3bsUF5envx+f5d9766SSDawfOYJABLBrBMAAPEZOXKkdu3apaysLNXX1+v48eMKh8M6c+ZMVPnyeAQCAS1ZskSBQEDSF4Fo8+bNamho0KlTp+R2u806Bu3Ncvn9ftvPQBGeANgK5ckBAEiMz+fT/v37dfHiRTmdTp08eVI5OTnyer1tqua1Z9WqVTpw4IBWr15tfuauXbv0yiuvaNy4cVHV+9pbppfIPqtkRXgCYBvMOgEAkDiPx6MpU6bommuu0bx581RSUqLs7GxJ8ZcOHzdunNLS0vTlL39ZpaWlcrvdGjRokEaMGKHU1NSo6n3thSSXy6X8/Hz5fL6EZr2SCXue2PME2AZ7nQAA6JzNmzdrz549+sY3vqFFixZJ+utepNaH1kZmj1ruTYrcGwqF1NjYaIajyPslxfys1kpLS1VXV6fMzEzNnz+/+37gBLDnCQAAAIAp8g+QLf8hsr2Ke7GW3cU6q6nl++Ot3mf3pXuEJwC2wJI9AAA6r7CwUHPnztU999xzxX1ObrdbVVVVysvLM6911VlNiZRIT0aEJwC2QKEIAAA67/e//72+//3vq6SkRHV1dR0Wi9i5c6caGxv1m9/8xrwnkbOaWlfb600ITwCSHrNOAABcnW9/+9u6ePGinn76aaWmpkpqv1hEZGnfgQMH9NZbb2nbtm3yeDxKT083K+p1pDcditsa4QlA0mPWCQCAq/Pqq6+qX79+uuOOO3Ts2LGovUutzZo1S7W1tbr11lvVr18/GYYhl8sVVVFPan+GKdayv96C8AQAAAD0crNnz9bZs2c1ZswYjRkzRlL7e5fWr1+v9PR0/c///I/mzJmjwsJCSW2LPbQ3w+T3+5Wbm2semtubEJ4AAACAPiArK0szZsxQc3Nzh0vq1q5dq+HDh+upp56KClitiz20Vzmvo4p6dt8PxTlPnPMEJLUhQ4aYy/auv/56lu0BAHAVWp7tJKnNeU5d+X1ifTbnPAFAN2K/EwAAXevixYvyer3yer0xl90Fg0Ft3rxZW7ZsaXeG6EozSO0t6eOcJwDoJlTZAwCga/l8Pu3Zs0e7d+9WOByOeZ5TUVGRdu3apd27d7e7vO9KFfXaKxph93OeUqxuAAC0h1knAAC6lsfjUTgcVnNzs/74xz8qFArpjTfe0MKFCyVJXq9Xn3zyiQYOHKjp06ebM0TBYFBlZWVqbm6W0+nUvHnzVFFR0WYGKbJcLxwOm0UjIsvz2lvKZyfMPAEAAAB9hMvl0qJFi5Senq6mpiYdOnRIoVDIfN0wDKWmpmratGlauHChGXIiM1avvPKKdu/ebYai1iEoMiMlqc3yvN5w/hMzTwCSEkv2AADoPh6PR7t27WrzZ+yDDz6oa665JmYFvXA4rKlTp8rpdLa7Z8nj8ZgFKSLBKjLjNHXqVK1fv15///d/3x0/Uo+g2h7V9oCkFDndXPriX8EAAEDXCQaD+t73vqcDBw5o2bJlWrFiRZd/fmSJXmTGqaqqSrm5uUlVaU+i2h4Am2PWCQCA7uXz+XTixAn9+c9/1v79+yVJgUBACxYs0MMPP6xAIHDVnx9ZohcpHvH444/butKeRHgCkIQoFAEAQPfyeDwKBoPq37+/zpw5I0kqLi5WZWWlKisrtWbNmk59bqSEudvtVmZmpvLy8lRcXKycnBzt27fP1pX2JMITgCTDrBMAAN3P5XJpyZIl+tu//Vvdf//9kqTHH39cQ4cOVUpKipYuXXrFz4gEpUAgYJ75FJlxihSU8Pv9ysnJUU1Nja1nnCLY88SeJyCpsNcJAICeEQwGo4o7lJaW6uc//7nOnj2rUaNG6be//W2Hs0SlpaVt9jLl5+dHfWbr75GM2PMEAAAAoEOtD6y98cYb9cEHH6ipqUmDBg1SUVGRgsGgeX9kpilyreVepvT0dLPkecvPtPuhuK0RngAAAADo/vvvVygUUkNDgz755BN9+umn2rZtm/l663Oa/H6/cnNztW/fPjmdTjU2Ntr6DKd4EJ4AJA32OwEA0LOKiorkcDh03333mUWa+vfvry996UsaMGBA1BJ6j8cTVS2v5fPWr/VWhCcASYMqewAA9Kynn35akrRz507z2rx587R+/XrNmTNHhYWFkr4oY15UVKS8vLyoJXiRcNXR8rzWy/3sjPAEICkw6wQAQM977LHHzMcOh0MrV67U1q1blZWVFRWGiouLVVtbG1XCvKysTOXl5fJ6vR1+j8hyP6/Xa/sQRXgCkBSYdQIAoOeVlJSYjw3D0Lhx42Let3btWg0fPtwMT8FgUO+++64uXboUVSk3lsiSPkm2D1GEJwAAAACSpDfeeEPLly83g01kyZ3L5dLGjRuVlZUl6YvZpNGjR+u6665TQUFBzM/au3evrr32Wh08eFDz589XYWFhVIiyY3EJwhMAAADQh0WW7rndbp0+fVoXLlwwy5S3rrAX4fF4lJ2drQ0bNrTZ5xQJXPfee68uXrxoFpGI7IuKhCg7FpcgPAGwHPudAACwTklJiQzD0PPPP68BAwaof//+Zpny9qroRYKQpDZL8CKBa86cOQqHw1q1apX5WiSQJfOhuR0hPAGwHPudAACw1rZt2zRq1CjV1NTo7NmzGjBggEKh0BWDTqyZqUjg2rlzp/r376/i4uIO77cTwhMASzHrBACA9SKzSCdPntSUKVM0c+ZMHTp0SGfOnOmwwEMkKOXl5Zn3RGalfD6fnE6nXn31VXMpn9vttu2SPYnwBMBizDoBAGC9V155xXz8wgsvaP/+/brppptUU1OjhoYGbdq0SVu3bm1zZpPL5VJ+fr6Ki4t15syZqBml2bNnKxgMavbs2eaMU0VFRbvnQdkB4QmAZZh1AgAgORQUFMjpdEqSLly4oA8++ED/+Z//qTVr1uj48eMKhUI6cuRIzGV3Pp9POTk5qqmpaXdGqeXeKTsfmkt4AmAZZp0AAEgeU6dOlSRdc801+vzzz3XDDTeooqJCP/7xjzVp0iT9y7/8S8wCErEq77UMSK2LRNh531OK1Q0AAAAAYL0RI0Zo4MCBMgxDDQ0N+vrXv24Gno0bN5r3RfZHSX+tnufxeKKW4rUMSIZhmIfjOp1Oud1uVVRU2HLfEzNPAAAAALR+/XoNGzZMn3/+uZxOp7Zv337FpXUdnQMVmaGKPJa+WGny+uuvyzCM7voxuhXhCYAl2O8EAEByycrK0tSpU5WZmak///nPSk1N1Zo1a9q9PxgMKhQKKSMjo91zoFwuV9ThuOnp6XrnnXf0xhtvaNu2bd37A3UDwhMAS7DfCQCA5LNhwwbdfPPNmjZtmsLhcIfhyefzqampSU6nM2rJXnsFIVwul5xOp0KhkE6fPm3L2SfCE4Aex6wTAADJKSsrS/fee6/+9Kc/ad68ecrKypIUOxDFKh4hdXwQrtvt1qBBg8yZKLshPAHoccw6AQCQvE6cOKH09HR9+OGHZmBqLxDFmj1yu92qqqpSXl5em9f8fr/GjBmjwYMH2/KsJ8ITAAAAAFOkNPnEiRPNwOTxeJSenq5QKGTOPrUXqPx+v3Jzc1VRUWFei8xcud3umLNVdkF4AgAAAGDKysrSxo0btWDBAjPoRPYr1dXVqaioSIFAoN1iEa0PxN28ebOWL1+uM2fOqKKiwiwkYUeEJwA9iv1OAAAkv0AgoKKiIk2ZMkU+n0/BYFBut1t+v1/Dhw9XcXFxzGIRUnSlPZ/Ppz179qipqUk1NTW2nXGKcBh2LHNxlRoaGjR48GDV19crIyPD6uYAfYrD4TAf98FfPwAA2MKSJUtUW1urpqYmzZgxQ3v27NH999+v8+fPq7KyUi+++KL27dtnzkq1JxgMyuv1yuFwqKCgIClnnBLJBoQnwhPQY7Zu3aqHH35Y0hezThSLAAAgOQUCAa1Zs0ZLly7VAw88oBtvvFHZ2dlKSUlRTk6OsrOzNX/+fKub2SUIT1dAeAKswawTAAD2UlpaqurqalVWVupXv/qVXC6XvF6vwuGwnE6nCgsLY84mRSr0eTyeNq939JoVEskG7HkCAAAAEJPH49GoUaP02muvKSsryywcsW/fPu3evbtNpb1IVT2v19vuWU8dnQOV7AhPAAAAAGIKBoPavXu3tm7dapYod7vd6t+/v1JSUjRlypSow3MjwUhSuyXJ2ztc1w4ITwAAAABiWrVqlXbt2qV///d/N2eK/H6/Ll++rEuXLmn9+vVRs0hut1vHjh1TOBxut5hEy2p8dpNidQMA9A2UKAcAwH7GjRunY8eOKTc315wp8ng8CofDam5ulmEYSktLM1/z+/0KhULat2+fBg8eHFVUIrLXKVLyPFn2PCWCghEUjAB6BMUiAACwn2AwqB07digvL087d+6Uw+Ewi0SUlpaqrq5OmZmZZkjqqDR55P6qqirl5uZGvc9KVNu7AsIT0LOGDBmi8+fPS6JEOQAAdlRaWqry8nJJ0ty5czV//nwzWF3prKeIlkGsoqIi7vd1N8LTFRCegJ7FrBMAAPZ2NYfdJltp8tYoVQ4gabDXCQCA3sHpdOqee+6Rz+czq+u1FilV3vJ1O5cmb43wBKBbRZbrSWK5HgAANhUJQKtWrVJ5ebm8Xm+H97UMSm63W1VVVcrLy+uh1nYfwhMAAACADkXOZho3bpykL5bkx5plinWGk9/vV25urioqKnq62V2OPU/seQK6FfudAADoPVoWiYjMMl2pal6ihSV6GnueACQF9jsBANA7BAIBLVmyRMFg0DzgNjLLNGXKFC1ZskSBQCDme+18KG5rhCcA3Yb9TgAA9A7FxcWqra3VmjVrJP21gl5eXp6++93v6vTp0+ZrkddbL+nrDQhPALpNZLaJWScAAOxt7dq1Gj58uBmQIkv2iouLNXPmTIVCoajw1LpwRG8JU+x5Ys8T0C0iB+NyKC4AAL1DMBhUWVmZmpubJUlpaWm65557Yh5423qfU2lpaVz7o6zAIblXQHgCuh+FIgAA6F1KS0tVXl6ujz/+WP3799fChQu1aNGiuN7bMkxJSqpDcykYAQAAAKBLeTwefeMb39Ctt96qYcOG6d13341rGV5kf1RkFsrOh+YSngAAAABckcvl0qJFi/Tcc88pMzNTt9xyS8wA1HJ/UzAYVFFRkc6cOWPea+dDcwlPALocJcoBAOi9XC6XSkpKNGTIEIVCoTazTy1nlnw+n3JyclRTU6O8vDyVlpbq9ddft+2huYQnAF2OEuUAAPRuLpdL4XBYW7Zs0S9/+cuo1yLnP+Xn58vj8Sg7O1sbNmyQ3+83/14Qed1uCE8AuhSzTgAA9A2HDh1Sc3Oz/vjHP0aVIW95KG7Lxx6PR+np6ZLUpjqfXRCeAHQpZp0AAOjdtm7dqn79+un222/XHXfcodtvv13l5eXyer0KBAJasmSJAoFAm/dFwtLbb7+tbdu29XSzuwThCUCX+d3vfmc+ZtYJAIDe6Tvf+Y4Mw9Dy5cu1ceNGs7y3w+FQcXGxamtrtXr16piH4hqGoX79+tn2GBPCE4AuM2fOHPMxs04AAPROL7/8shwOh15++WVJUmFhoebOnauCggKtXbtWw4cP19ixY2OWI3/wwQc1Z84cFRYWWtDyq8chuRySC3QZDsYFAKBviJzd5Ha75ff72xx4m8yH4rbGIbkAAAAAuk2kHHlxcXG7B95G/iHVzofitpZidQMAAAAA2IvH45HX69VXvvIVpaWlRZUdDwaDWr58uZqamtTc3KyCgoKoWSg7Y+YJQJegRDkAAH2Hy+WS0+lUc3OzDMOQz+czi0P4fD41NTXp9OnTMgwjqly53RGeAHQJSpQDANC3uN1uVVVVqaGhwSxVLn0xK5WXl6dFixapsLBQwWAwqvJe6+d2wrI9AFft7rvvNh8z6wQAQN/g9/uVm5urY8eOSfpr4SiXy6VFixaZ95WWlpp7nvLz880lfeFwOOo+O2DmCcBVe/PNN83HzDoBANA3eDwepaena9y4cZo1a5YKCgra3BMMBhUKhZSRkaH8/PyoJX0tq/TaBTNPAAAAABIW2fdUV1eno0ePRoWnSCnzcDispqYmpaenm6XNw+GwHA5HzLCV7AhPAAAAADrF4/GoqKhIOTk55rK8SGhqbGxUenq6MjMzVV9fr7ffflvNzc22W6rXEsv2AAAAAHSKy+XS2rVrdfLkSeXl5amsrEzl5eVqaGhQVVWV5s2bp/nz5ys1NVX9+vUzz36yK8ITgKvSskT5sGHDLGwJAACwws6dO/Xpp59q1apVam5uliSdOHFCubm5qqiokCQ9+OCDmjNnjgoLC61s6lUjPAG4Ki1LlJ89e9bClgAAACs4HA6dPHnSrLo3d+5cPfXUU8rMzDQPxnW5XOaSPjuWKI9gzxOATps9e7b5mBLlAAD0TYWFhdq/f7+ampqUlpam+fPnS5L53wifz6e6ujp5vV45nU55PB7bHZzLzBOATvP7/eZjSpQDANA3uVwu/exnP9O8efPMCnqxDsKNHKobDofNc5/shvAEAAAA4Kq4XC5zpqm0tFRer7dNQNq5c6caGxslKWpJn50QngAAAAB0Ca/Xq7feekvNzc1mQIrMQkWKSUSW9tltyZ5EeALQScePH7e6CQAAIMk0NDTowIEDCofDZkCK7HVyOp2aO3euLQ/HjaBgBIBOGTNmjPn45ptvtrAlAAAgGWzbtk2PPvqohgwZoiNHjpjXPR6PeYCuHWebWmLmCUDCWpcY/fjjjy1qCQAASBaRPU91dXW67bbbzOuR/VCR4BSrmIRdEJ4AJGzWrFnm46FDh1rYEgAAkCxeeeUVSdKNN96o8vLydsPR1q1btWnTJm3durUnm9clCE8AEnbgwAHz8blz5yxsCQAASBYFBQX6y1/+otGjR2vatGkqKiqKGaAOHTqkUCikw4cPW9DKq0N4ApCQkpISq5sAAACSVFZWll577TXV1dUpJydHXq/XXKIXWa63evVqTZo0SU899ZTVzU2YwzAMw+pG9LSGhgYNHjxY9fX1ysjIsLo5gK04HA7zsdvt1u9+9zsLWwMAAJJRMBjUjh07FAqF1NjYqPT0dL3//vvKycnRkCFD5HQ65fF4kqKARCLZgPBEeAIS0jI89cFfHwAAIAEtQ1RdXZ0+/vhjGYah0aNHKzs72ywyYaVEsgHL9gAAAAB0mZbV9Fwul/Lz82UYhjIzM3XnnXdq9OjRqqmpUX5+vtVNTRjhCUDc9u7da3UTAABAkoscirtjxw7zeVNTk5xOp+bNm6eTJ09qzZo1SbFkL1GEJwBxmzFjhtVNAAAASc7j8SgzM9OcWWr53O/3Kzc3VxUVFdY2spMITwDicvz48ajnv/jFLyxqCQAASGatD8Vt+dztdquqqkp5eXkWt7JzCE8A4tJ61un73/++RS0BAADJruW+p5aYeQLQJ5w/f9587Ha7LWwJAABIdi33PUWCVCAQUCgUUkZGhi2LRUiEJwCdwNlOAACgI5F9Tnl5eSoqKtKZM2dUXFxsFo6wY7EIifAEIA7V1dVWNwEAANhIZJ+T3+9XTk6OampqtHbt2qhCEnZEeAJwRXfffbfVTQAAADazd+9eLVu2TE1NTdqwYYOysrKiCknYkcMwDMPqRvS0RE4RBvq66upqjRo1KupaH/y1AQAAEjRo0CDzoNympiarm9OuRLIBM08AOjRv3ryo54899phFLQEAAHZy6dIlSdJnn30Ws/KeHRGeALSrurq6zflOJSUlFrUGAADYyWuvvaaBAwdq+fLlZuU9qf0y5nZAeALQrvvuuy/q+be//W2LWgIAAOxm9uzZCgaDKioq0rFjx1RfX69AIGBW34uEKTtJsboBAJLX0aNHo55v377dopYAAAC78vv9CoVC2rdvn44ePWpW31u2bJnVTUsY4QlAXK655hqrmwAAAGzI4/EoHA7L4XDonnvuUUVFhZYtW2bLqnss2wMQ03vvvRf1vLKy0qKWAAAAO3O5XFq0aJEKCgrk9/uVl5cnn89nyz1PlCqnVDnQRjAYVGZmpi5evGhe64O/KgAAQBcIBAIqLi7WV77yFTU3N6uqqkq5ubnKzMzU/PnzrW4epcoBXJ2SkpKo4AQAANBZxcXFOn36tP7jP/5DGRkZWrt2rTIzM5Wfn2910xJGeALQxk9/+lOrmwAAAHqJtWvXKhQKadasWXI6ncrKytL8+fPZ8wSgd6ivr496/uSTT1rUEgAAYHdZWVl67bXXNGrUKFvONrXEnif2PAFR3nvvPd1xxx1R1/rgrwkAANBHsOcJQKcEAgFNnTo16tpjjz1mUWsAAACSC+EJgGnx4sX67LPPoq6VlJRY1BoAANAbBQIBLVmyRIFAwOqmJIzwBMC0a9cuq5sAAAB6qWAwqNLSUq1atUq1tbVas2aN1U1KGOEJgCSpurpajY2NVjcDAAD0UmVlZSovL9ctt9yixsZG/dM//ZPVTUoY4QmAAoGAJkyY0OZ6cXGxBa0BAAC9kcPhkCQdOXJEp06d0o4dO6xtUCcQnoA+LhAIaOLEifrkk0/avGbH6XQAAJCcCgsLNXfuXJ05c0ahUEg7d+60ukkJS7G6AQCs9Z3vfEenTp1qc/3ZZ5+1oDUAAKC3crlcys/P11/+8he98cYb2rJli9VNShjnPHHOE/qwQCCgoUOHxnytD/5qAAAA3ay0tFR1dXXKzMzU/PnzrW6OJM55AhCHQCCgSZMmWd0MAADQh3g8HmVmZio/P9/qpnQK4Qnoox544AGdPHky5msbNmzo2cYAAIA+weVyKS8vT0VFRZzzBCD5BQIB3XvvvaqsrIz5ekZGhoqKinq4VQAAoK8oLi7mnCcAyW/v3r0aOnSoXn/99Xbv4aBcAADQndauXavhw4cTnjpr48aNGjlypNLS0jR+/Hi98847Hd5fWVmp8ePHKy0tTaNGjdLzzz/fQy0F7Km6ulpjx47VjBkzOryvvLxcEydO7KFWAQCAvsjlcmnKlClyuVxWNyVhloenbdu2acWKFVq9erUOHz6s6dOna+7cuTFLJ0tf/CXwW9/6lqZPn67Dhw9r1apVeuSRR7R9+/YebjmQ/Pbu3auBAwdq1KhROnLkSIf3pqamavbs2T3TMAAA0Gf5fD7V1dXZ8pBcy0uVT5o0SePGjdOmTZvMa7fddpvy8/O1bt26Nvf/8z//s3bu3KmPPvrIvLZ48WJ98MEH2r9/f1zfk1Ll6E0CgYCWLVumiooKXbhwoVOfMWjQIL399tvMOgEAgG4XDAa1Y8cO5efnJ8XsUyLZwNJDcpubm3Xw4EE98cQTUdfdbrf27dsX8z379++X2+2OujZ79mxt2bJFn332mQYMGNDmPeFwWOFw2Hze0NDQBa3vOg6Hw+omoA+bMWOG9uzZY3UzAABAH+FyubR8+XL9wz/8g66//nrV1dVZ3aS4Wbpsr66uTpcvX25zSOfQoUN17ty5mO85d+5czPsvXbrUbsevW7dOgwcPNr9GjBjRNT8AYGMDBgxQeXk5wQkAAPS48+fPR/3XLizf8yS1nXkxDKPD2ZhY98e6HvHkk0+qvr7e/Dp9+vRVthiwp2effVaGYcgwDDU3N7PHCQAAWOL666+P+q9dWLpsb8iQIerfv3+bWaZAINBmdinihhtuiHl/SkpKu53vdDrldDq7ptHdwOJtZwAAAECPstNSvZYsnXlKTU3V+PHjVVFREXW9oqJCU6ZMifmeyZMnt7nf7/drwoQJMfc7AQAAAEBXsHzZ3qOPPqrNmzfrpZde0kcffaSVK1fq1KlTWrx4saQvltw99NBD5v2LFy9WTU2NHn30UX300Ud66aWXtGXLFhUVFVn1IwAAAADoAyxdtidJBQUFOn/+vH70ox+ptrZWY8aM0ZtvvqmbbrpJklRbWxt15tPIkSP15ptvauXKlXruuec0fPhwPfvss7r//vut+hEAAAAA9AGWn/NkBc55AgAAACAllg0sX7YHAAAAAHZAeAIAAACAOBCeAAAAACAOhCcAAAAAiAPhCQAAAADiQHgCAAAAgDgQngAAAAAgDoQnAAAAAIgD4QkAAAAA4kB4AgAAAIA4EJ4AAAAAIA6EJwAAAACIA+EJAAAAAOJAeAIAAACAOBCeAAAAACAOhCcAAAAAiAPhCQAAAADiQHgCAAAAgDgQngAAAAAgDoQnAAAAAIgD4QkAAAAA4kB4AgAAAIA4EJ4AAAAAIA6EJwAAAACIA+EJAAAAAOJAeAIAAACAOBCeAAAAACAOKVY3wAqGYUiSGhoaLG4JAAAAACtFMkEkI3SkT4anxsZGSdKIESMsbgkAAACAZNDY2KjBgwd3eI/DiCdi9TKff/65zp49q/T0dDkcjk5/TkNDg0aMGKHTp08rIyOjC1uIlujnnkE/9xz6umfQzz2Dfu459HXPoJ97RjL1s2EYamxs1PDhw9WvX8e7mvrkzFO/fv2UnZ3dZZ+XkZFh+f/0voB+7hn0c8+hr3sG/dwz6OeeQ1/3DPq5ZyRLP19pximCghEAAAAAEAfCEwAAAADEgfB0FZxOp4qLi+V0Oq1uSq9GP/cM+rnn0Nc9g37uGfRzz6Gvewb93DPs2s99smAEAAAAACSKmScAAAAAiAPhCQAAAADiQHgCAAAAgDgQngAAAAAgDoSnDmzcuFEjR45UWlqaxo8fr3feeafD+ysrKzV+/HilpaVp1KhRev7553uopfaXSF/v2bNHDoejzdd//dd/9WCL7Wfv3r2aN2+ehg8fLofDoR07dlzxPYzpxCXaz4znzlm3bp0mTpyo9PR0ZWVlKT8/X1VVVVd8H2M6MZ3pZ8Z052zatElf/epXzQNDJ0+erLfeeqvD9zCeE5doPzOeu8a6devkcDi0YsWKDu+zw5gmPLVj27ZtWrFihVavXq3Dhw9r+vTpmjt3rk6dOhXz/urqan3rW9/S9OnTdfjwYa1atUqPPPKItm/f3sMtt59E+zqiqqpKtbW15tfo0aN7qMX2FAwGdfvtt+vnP/95XPczpjsn0X6OYDwnprKyUkuXLtW7776riooKXbp0SW63W8FgsN33MKYT15l+jmBMJyY7O1v/+q//qvfff1/vv/++Zs2apfvuu0/Hjx+PeT/juXMS7ecIxnPnvffee3rhhRf01a9+tcP7bDOmDcR0xx13GIsXL466duuttxpPPPFEzPsff/xx49Zbb4269oMf/MC48847u62NvUWifb17925DkvHpp5/2QOt6J0mGz+fr8B7G9NWLp58Zz10jEAgYkozKysp272FMX714+pkx3XWuvfZaY/PmzTFfYzx3nY76mfF8dRobG43Ro0cbFRUVxowZM4zly5e3e69dxjQzTzE0Nzfr4MGDcrvdUdfdbrf27dsX8z379+9vc//s2bP1/vvv67PPPuu2ttpdZ/o6YuzYsRo2bJjuuusu7d69uzub2ScxpnsW4/nq1NfXS5Kuu+66du9hTF+9ePo5gjHdeZcvX5bX61UwGNTkyZNj3sN4vnrx9HME47lzli5dqrvvvlvf/OY3r3ivXcY04SmGuro6Xb58WUOHDo26PnToUJ07dy7me86dOxfz/kuXLqmurq7b2mp3nenrYcOG6YUXXtD27dv16quvKjc3V3fddZf27t3bE03uMxjTPYPxfPUMw9Cjjz6qadOmacyYMe3ex5i+OvH2M2O6844ePapBgwbJ6XRq8eLF8vl8+vKXvxzzXsZz5yXSz4znzvN6vTp06JDWrVsX1/12GdMpVjcgmTkcjqjnhmG0uXal+2NdR1uJ9HVubq5yc3PN55MnT9bp06dVUlKir3/9693azr6GMd39GM9Xb9myZfrwww/1+9///or3MqY7L95+Zkx3Xm5uro4cOaILFy5o+/btWrBggSorK9v9iz3juXMS6WfGc+ecPn1ay5cvl9/vV1paWtzvs8OYZuYphiFDhqh///5tZj4CgUCbRBxxww03xLw/JSVF119/fbe11e4609ex3Hnnnfrv//7vrm5en8aYtg7jOX4//OEPtXPnTu3evVvZ2dkd3suY7rxE+jkWxnR8UlNTdcstt2jChAlat26dbr/9dv3sZz+LeS/jufMS6edYGM9XdvDgQQUCAY0fP14pKSlKSUlRZWWlnn32WaWkpOjy5ctt3mOXMU14iiE1NVXjx49XRUVF1PWKigpNmTIl5nsmT57c5n6/368JEyZowIAB3dZWu+tMX8dy+PBhDRs2rKub16cxpq3DeL4ywzC0bNkyvfrqq3r77bc1cuTIK76HMZ24zvRzLIzpzjEMQ+FwOOZrjOeu01E/x8J4vrK77rpLR48e1ZEjR8yvCRMmaP78+Tpy5Ij69+/f5j22GdOWlKmwAa/XawwYMMDYsmWLceLECWPFihWGy+UyTp48aRiGYTzxxBPGP/7jP5r3/+///q8xcOBAY+XKlcaJEyeMLVu2GAMGDDB+85vfWPUj2Eaiff3Tn/7U8Pl8xp/+9Cfj2LFjxhNPPGFIMrZv327Vj2ALjY2NxuHDh43Dhw8bkoyf/OQnxuHDh42amhrDMBjTXSXRfmY8d86SJUuMwYMHG3v27DFqa2vNr//7v/8z72FMX73O9DNjunOefPJJY+/evUZ1dbXx4YcfGqtWrTL69etn+P1+wzAYz10l0X5mPHed1tX27DqmCU8deO6554ybbrrJSE1NNcaNGxdVmnXBggXGjBkzou7fs2ePMXbsWCM1NdXIyckxNm3a1MMttq9E+vrf/u3fjJtvvtlIS0szrr32WmPatGnGb3/7WwtabS+RcqutvxYsWGAYBmO6qyTaz4znzonVx5KMl19+2byHMX31OtPPjOnOWbhwofnnYGZmpnHXXXeZf6E3DMZzV0m0nxnPXad1eLLrmHYYxv/fiQUAAAAAaBd7ngAAAAAgDoQnAAAAAIgD4QkAAAAA4kB4AgAAAIA4EJ4AAAAAIA6EJwAAAACIA+EJAAAAAOJAeAIAAACAOBCeAAAAACAOhCcAAAAAiAPhCQAASc3NzVY3AQCQ5FKsbgAAAFaYOXOmxowZo9TUVP3yl7/U3/3d36mystLqZgEAkhjhCQDQZ23dulVLlizRH/7wBxmGYXVzAABJzmHwpwUAoA+aOXOm6uvrdfjwYaubAgCwCfY8AQD6rAkTJljdBACAjRCeAAB9lsvlsroJAAAbITwBAAAAQBwITwAAAAAQB8ITAAAAAMSBansAAAAAEAdmngAAAAAgDoQnAAAAAIgD4QkAAAAA4kB4AgAAAIA4EJ4AAAAAIA6EJwAAAACIA+EJAAAAAOJAeAIAAACAOBCeAAAAACAOhCcAAAAAiAPhCQAAAADi8P8Ap8qETONk9WQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 0.5\n",
    "n_last = 50\n",
    "\n",
    "plt.figure(figsize=(10, 10))\n",
    "for r in np.linspace(0.1, 4.0, 1000):\n",
    "\n",
    "    x = np.ones(n_last)*r\n",
    "    tr = trajectory_log(r, 100, x0)\n",
    "    y = tr[-n_last:]\n",
    "\n",
    "    plt.scatter(x, y, s=0.1, c = 'black')\n",
    "\n",
    "plt.title('logistic bifurcation diagram')\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('$ \\lambda $ ')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The bifurcation curve looks exactly the same, however the distance between the bifurcation points is 4 times bigger. The Feigenbaum number is the same though.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 5.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What implications does this have for using simple maps like the logistic map for making predictions about complex natural system such as turbulent flow of fluids?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They serve as toy models"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
