{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "506b6c31-34ca-4836-88bb-095e8e1db3f1",
   "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"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0e8f7421-f545-471d-b4f1-b417c425608c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/vq/knfnd3fs6x19mn5xcw685flr0000gq/T/ipykernel_28789/958596905.py:7: DeprecationWarning: `set_matplotlib_formats` is deprecated since IPython 7.23, directly use `matplotlib_inline.backend_inline.set_matplotlib_formats()`\n",
      "  set_matplotlib_formats('png', 'pdf')\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ipywidgets import interact\n",
    "from scipy.integrate import odeint\n",
    "from IPython.display import set_matplotlib_formats\n",
    "from matplotlib.markers import MarkerStyle\n",
    "set_matplotlib_formats('png', 'pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d117c080-3a65-4e8e-a57c-5e4ae128551c",
   "metadata": {},
   "source": [
    "# One-dimensional bifurcations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "071ba774-c9bf-4542-8fd2-a6183c710210",
   "metadata": {},
   "source": [
    "## Question 1\n",
    "For each of the 1D vector fields A – G:\n",
    "\n",
    "A) $\\frac{dx}{dt} = r - x^2$\n",
    "\n",
    "B) $\\frac{dx}{dt} = rx - x^2$ \n",
    "\n",
    "C) $\\frac{dx}{dt} = rx - 4x^3$ \n",
    "\n",
    "D) $\\frac{dx}{dt} = rx + 4x^3$ \n",
    "\n",
    "E) $\\frac{dx}{dt} = rx - sinh(x)$  \n",
    "\n",
    "F) $\\frac{dx}{dt} = x + \\frac{rx}{1 + x^2}$  \n",
    "\n",
    "1.1 Sketch the vector field for the three cases r < 0, r = 0, r > 0 (labelled by their value of r), mark the fixed point(s) and their stability, and indicate the direction of flow of the vector field on the diagram.\n",
    "\n",
    "1.2 Sketch a few typical trajectories for the three cases, r < 0, r = 0, r > 0.\n",
    "\n",
    "1.3 Draw the bifurcation diagram and label the branches as stable or unstable (use a solid line for stable branches and a dashed line for unstable branches).\n",
    "\n",
    "1.4 Identify the type of bifurcation in the bifurcation diagram.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "798f0d6d-8a9f-4d8c-a2df-f5463a996198",
   "metadata": {},
   "source": [
    "### A) $\\frac{dx}{dt} = r - x^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "41e15f08-b9b0-4f49-9df6-fcdf3a296e54",
   "metadata": {},
   "outputs": [
    {
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",
      "image/png": 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      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define F(x)\n",
    "def F(x, r, t = 0):\n",
    "# t plays no role as the system is autonomous but is needed for odeint \n",
    "    return r-x**2\n",
    "\n",
    "# show F(x)\n",
    "x = np.linspace(-5,5,100)\n",
    "y_1 = F(x, r=-3)\n",
    "y_2 = F(x, r=0)\n",
    "y_3 = F(x, r=3)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "ax1.plot(x,y_1)\n",
    "ax1.set_xlabel(r'$x$')\n",
    "ax1.set_ylabel(r'$F(x)=\\dot{x}$')\n",
    "ax1.axvline(color='tab:gray')\n",
    "ax1.axhline(color='tab:gray')\n",
    "\n",
    "ax2.plot(x,y_2)\n",
    "ax2.scatter(x=0,y=0, marker='o', s = 100, color = 'black', facecolors='none')\n",
    "ax2.scatter(x=0,y=0, marker= MarkerStyle('o', fillstyle = 'right'), s = 100,color='black')\n",
    "ax2.set_xlabel(r'$x$')\n",
    "ax2.set_ylabel(r'$F(x)=\\dot{x}$')\n",
    "ax2.axvline(color='tab:gray')\n",
    "ax2.axhline(y = 0, color = 'red', ls = '--')\n",
    "\n",
    "ax3.plot(x,y_3)\n",
    "ax3.axvline(color='tab:gray')\n",
    "ax3.axhline(y = 0, color = 'red', ls = '--')\n",
    "ax3.scatter(x=-np.sqrt(3),y=0, marker='o', s = 100, color = 'black', facecolors='none')\n",
    "ax3.scatter(x=np.sqrt(3),y=0, marker='o', s = 100, color = 'black')\n",
    "ax3.set_xlabel(r'$x$')\n",
    "ax3.set_ylabel(r'$F(x)=\\dot{x}$')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0aa24561-dca4-452c-8391-08a9e8da3d92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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f8XOigIRjCBHrMnrlVEldTfU3sTI3jIvEOMipZGtwIoTch1EDVlhF6tbgJCerdi7V61rKASZCVLMw92rrEHK0KtQj+sDzSFvyBgKeA8CcopIaZQnCAA3iaAPDTjQk2mSF/Ggjs1CfxFslu1jlOCUwr2aVIoWdDhgaflflbpbBStQQLV2RpSDDCSewuEV1nVTwQAYZGRyNaMPokxKt9eF6i1pBFQ9u0BnANuNGbUzkNIAzZDc6CAmNAqHQSgPO5IB+Wx00E4oWraJePv7X30MehQGaIhmeXd3TBBcGnPymW/dnd+1qwhaHLg5EUsPSqw8v3PQujCZvVtNB16/kSbcMahgkScY2FiDYDLF40+9MiIqRlNAs18Lmq3EDviIbDKvbCFxJQNXw5bBGgNmj4SYSD2lAFRoeRuOXvx5Nuhm/FAOQqrR6hf46wHaEq8dy3qnWdcx5n+5KXC6pPVIlY71LxbYPjxXbeP45Jbvj43N34vH1r3cngAIwRn700JzI6k3ebT81J7Igz6NdfaaLen76XKQ/UKfmxESfmxMH8rldMG24dxYm7ubmxH6WuTeRhYooep17EzKz7dFpr4nYplXjWUJTY2Im70fe95rFc0nGv0RbIisV3A6wdSVwEkeSMOMB6enaNZA+fjSmjG/uScRXaEnsxzp0JPajHRoP+/Ge2Y+4d8R/YT9iOvDUjpjOO7UdpuM+qxlx/7S/QDOCcIVQrxI9zMhGaHa/Fft+Is7oNS3wzBcKstxf9f74SsFEvVaKLgRJpCtkQUq3X9SJqM5GlqI/vFQwU68yoFk/B+aRPaYXtiKqxrYeuJWZeo2DqmQ8h9juikovaEg0zTpqoODwUsFMvcZBU3BK+NNqVizyoo5EUxbtFIjNDOzEq/trEjlrAippNu3l/YhatrLgiG9e3JSYjMGDvrUEFRyInZVwHqgXVQqPRhrTHXmAJ/rTfGohpk49uZsm9P0rdCTmIzRNQpHAh3uH2OkXj0F+QaJxPobKIUERZdKbJ88auJ6Y0Ugk6WY3mJ2Ymeg3MKOBS5IZp6TRXWPGX2VGiW0in4z1yMxEv4EZUlHNoqk81K7q7VVeDrNdOyvXy9v3OLmtvP1Icbuo7uRS1YCXRPxvXtzeRTcu4Z9V3J48m8ZpYbYnc3g2qQD0qPRL/j3ye/6z5s5yPA3IeRWeRcY3kBmGwtMgCbmiVb3YXqUHrn4hIyXs1agZ5Oo1j6ZKFyG6igKDig3kGLkRztg0RFyNzJdiE6c9qDXqbIS4KMWtTgPcmswjHLUiHgJYEzk2P/VO7z1sbJPiBCuuC71YLFu9uRCnuZ41dk0ww8cQrLpRVMEh4lJOq0HhNgZVK7m/z7pP62eWDGIGo7OpLypHamIPWWWroFavxL7wdfEqUOQwhtWr1nSaf108KZmXiGx9coyuyVaNP8NZM1cnuny/quiWBaMk3srzVWZF9paaYR/x6phnrppQL07VfM3FO9ed2Rv3oinzUsOCdNFwdNymJnWpKiKoe0/2gou1klnVTCZbqfIcVeMkzbf1i0omgH8eRaFeo1Viq+oCNjmpgXPN8vdBLipMVdWKMrFajM0upWosE0XRkHzR2KCVTERPq6lrtL4lSJStHlL1AoKGNKuNsZZGHmfPSy/gJnobkq0RO7DnbXQdqeRljNFyRzYN6pQzlK53AmBBo5wlGj2qFhs0JAYLveexb3M2W15SgW7tmGQVYIUZXL0Lo7bHPtENeoaJFnXeHrVVS4NOuthJ9ryNFhMhFmsYtZD0IoPXOxCkHalpzt/oTYdhA3uDI6VkzaEmMOdSEDn78cs4CtIoPaons7JB5871W2mv6b0Er5cgoOu9gTbGXFvSiwk1ddHRTvi0kmJTf6TAQrP+oNNct4lNdzRe7YiujW5QMToGGtGrZlObQaYobZ6CJc2H1hTtjZJHyFs15eNQ8Lkz8Dv0Hd14Vn7Tk97GKKqLcr1lAz9CMbV9A4fGTq1Bg0RQ+6Jelca40fNRiS7qC6itke0lU6u0Cc9Ukgwq0+kNA/KSUaosmu8muivRKsKApbd3IoR/entPL6cK3FoejTwBYAhetXNNYcacw8A0pUNZkGKT6uhbcfUAgUE1Y7RlYDFfeNpeYOl6CymNYqXyCExKk0+qZ0s3rJtTVWTkepq0T0ZOBGXGpjIqT6WhfeBFtNclQDDV4DW9oreT0OkwjFaxvALkbNoHMLQ+MDALsLrK+npntHI4w8CoJmawWWK0kkMNaIxqCFa9jSGlxNBMh6vaKkkjQaZlVRZ1h4B3c+OAcwHQDMBxX5woa27cayo/bYBfrbyqmqcNMBcrYB+QKBJl4CdGoaCpaByj3h8R3d5wMZNVSwtZKntEHl5d0GE6OGceqs3oMdkLJAcbEbnFNIDoMvlVTOflXZ7Jig4xX4ZFsB7LUdNB9mT9limwUIexxuGbEIImiSugr95I566HmutFCo2ujzpD02hU24yOJzRupyJatPav0fEAesFJ7SIUouu9pC0UwVtnoaNsmjCpjvW7Xj5RV1Ej9kB7tCvGSWLrXmqjNhaRBoHCZqbkQnqtjjPwMXubgS9VkwHVRq9T01RFGyGQbNzJM9uMfeAmDNyLKi7kINam0gt3Kba8ma+DBRwwIgP0W4sj3ulCZemHZu/Zt6QR2SjKBbg4b9QLdARX9ryaBNhgsndtCGv82FZtilQ1Q8DVKJseTVSZNWftGu0PzZR+M3c1oZocG4EDqR0wYM/LTBKKr+dVVe4mBUU2Eoky9MABO6bTt8imqi+7TbAI/ww1gjpoaqDFoKAVH543Y+85qYsavbLenqz9I2tPWYEudHEpvNzMvfBNLw547hnXayFl1ZtFzd5b8jDPrYXxlohsE6SL9mJRUaHAuFGJlbxWVqI+FsBnIWht+rFXi0OtQBgYbDYBHVGs5hO9Ikm1oMzcoyZAnK0T9WJULuN9E73bYcArem5pwMnRrrMaOulx8uuY+9GI5xxSA4gc8X7BbSd/HAtj+98toABPronkzS1/WB7l5zytMXPzcITjWhvmcjHxkQoh610oM354pMzI088oVR6fnnswj65+vQWjUNbeA8rHHgwR3nn3qQXTmgG7s/+vjjO9aT5oe/jcjpiJUwNmJ8/9l5l6bolMm+3Nk52xufsyHWNuv1RFvV7eeCITepyf3Tc7UPcGzEQ+dGAO9POZp/1m8VyU8S/RgxGenA+xNWHY7B5N+PKQ9nTVvsVdyLe1YO4VRl/YgplOdejBTCc7dFum0z2zCzOd8F/YgZnPO7Vg5uNO3Zb5tM9qwsyHfWED5uvTPwA3gvtDCmVuZHN0cmVhbQplbmRvYmoKMTIgMCBvYmoKNTgyNgplbmRvYmoKMTAgMCBvYmoKWyBdCmVuZG9iagoxNyAwIG9iago8PCAvTGVuZ3RoIDE4MSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw9kEsSAyEIRPeeoo8gP9HzJJXKYnL/bRonZqH9BAobbCk6hvNyNWRXPKUVhic+zfuCZ+Jqav1HkgqZfVOHjMUzeYoTEopHkzEg7thq66dxMsIMuywmZmCuiq9ELqhQAupR8mhmo+BqpoK+fcRWmfUWFwhFAiYsZyv+nwPT6xYdDBaY7TfLszz2CtN0LMx7hnkPRSN+BuVabmBlrYOfhh2a97ZoKP/kJ3sWeLV3e30BZHxDEwplbmRzdHJlYW0KZW5kb2JqCjE4IDAgb2JqCjw8IC9MZW5ndGggOTUgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicPYxBDsAgCATvvGI/0AQRFf/TND3Y/1+7RtsLTHZhSjcoDiucVRXFG84kHz6SvcNax5CimUdDnN3cFg5LjRSrWBYWnmERpLQ1zPi8KGtgSinqaWf1v7vlegH/nxwsCmVuZHN0cmVhbQplbmRvYmoKMTUgMCBvYmoKPDwgL1R5cGUgL0ZvbnQgL0Jhc2VGb250IC9HQ1dYRFYrRGVqYVZ1U2Fucy1PYmxpcXVlIC9GaXJzdENoYXIgMAovTGFzdENoYXIgMjU1IC9Gb250RGVzY3JpcHRvciAxNCAwIFIgL1N1YnR5cGUgL1R5cGUzCi9OYW1lIC9HQ1dYRFYrRGVqYVZ1U2Fucy1PYmxpcXVlIC9Gb250QkJveCBbIC0xMDE2IC0zNTEgMTY2MCAxMDY4IF0KL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0gL0NoYXJQcm9jcyAxNiAwIFIKL0VuY29kaW5nIDw8IC9UeXBlIC9FbmNvZGluZyAvRGlmZmVyZW5jZXMgWyAxMTYgL3QgMTIwIC94IF0gPj4KL1dpZHRocyAxMyAwIFIgPj4KZW5kb2JqCjE0IDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3JpcHRvciAvRm9udE5hbWUgL0dDV1hEVitEZWphVnVTYW5zLU9ibGlxdWUgL0ZsYWdzIDk2Ci9Gb250QkJveCBbIC0xMDE2IC0zNTEgMTY2MCAxMDY4IF0gL0FzY2VudCA5MjkgL0Rlc2NlbnQgLTIzNiAvQ2FwSGVpZ2h0IDAKL1hIZWlnaHQgMCAvSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvTWF4V2lkdGggMTM1MCA+PgplbmRvYmoKMTMgMCBvYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5MCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2CjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMyIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUgNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2MzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYzNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4IDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM1MCA2MzUgNDAwIDEwNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAgNTIxIDQwMCAxMDI4IDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAgNTAwIDEwMDAgNDcxIDYxNyA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2IDYzNiAzMTggNTAwCjQwMSA0NzEgNjE3IDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQgNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3ODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDgKNjMwIDYxMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk5NSA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4IDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQgNTkyIDYzNSA1OTIgXQplbmRvYmoKMTYgMCBvYmoKPDwgL3QgMTcgMCBSIC94IDE4IDAgUiA+PgplbmRvYmoKMjMgMCBvYmoKPDwgL0xlbmd0aCAzOTUgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicPVJLbsVACNvnFFyg0vCbz3lSVd28+29rQ1KpKryJMcYwfcqQueVLXRJxhcm3Xq5bPKZ8LltamXmIu4uNJT623JfuIbZddC6xOB1H8gsynSpEqM2q0aH4QpaFB5BO8KELwn05/uMvgMHXsA244T0yQbAk5ilCxm5RGZoSQRFh55EVqKRQn1nC31Hu6/cyBWpvjKULYxz0CbQFQm1IxALqQABE7JRUrZCOZyQTvxXdZ2IcYOfRsgGuGVRElnvsx4ipzqiMvETEPk9N+iiWTC1Wxm5TGV/8lIzUfHQFKqk08pTy0FWz0AtYiXkS9jn8SPjn1mwhhjpu1vKJ5R8zxTISzmBLOWChl+NH4NtZdRGuHbm4znSBH5XWcEy0637I9U/+dNtazXW8cgiiQOVNQfC7Dq5GscTEMj6djSl6oiywGpq8RjPBYRAR1vfDyAMa/XK8EDSnayK0WCKbtWJEjYpscz29BNZM78U51sMTwmzvndahsjMzKiGC2rqGautAdrO+83C2nz8z6KJtCmVuZHN0cmVhbQplbmRvYmoKMjQgMCBvYmoKPDwgL0xlbmd0aCA3NCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJyzMLZQMFAwNDBTMDQ3UjA3NlIwMTVRSDHkAgmBmLlcMMEcMMsYqCwHLItgQWQzwGwjU1OoHhALoscQrhLBgshmcKUBAFG+GRYKZW5kc3RyZWFtCmVuZG9iagoyNSAwIG9iago8PCAvTGVuZ3RoIDI0OSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJxNUUmKAzAMu+cV+kAhXpO8p0OZQ+f/18oOhTkECa+Sk5aYWAsPMYQfLD34kSFzN/0bfqLZu1l6ksnZ/5jnIlNR+FKoLmJCXYgbz6ER8D2haxJZsb3xOSyjmXO+Bx+FuAQzoQFjfUkyuajmlSETTgx1HA5apMK4a2LD4lrRPI3cbvtGZmUmhA2PZELcGICIIOsCshgslDY2EzJZzgPtDckNWmDXqRtRi4IrlNYJdKJWxKrM4LPm1nY3Qy3y4Kh98fpoVpdghdFL9Vh4X4U+mKmZdu6SQnrhTTsizB4KpDI7LSu1e8TqboH6P8tS8P3J9/gdrw/N/FycCmVuZHN0cmVhbQplbmRvYmoKMjYgMCBvYmoKPDwgL0xlbmd0aCA5NCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJxFjcERwCAIBP9UQQkKCtpPJpOH9v+NEDJ8YOcO7oQFC7Z5Rh8FlSZeFVgHSmPcUI9AveFyLcncBQ9wJ3/a0FScltN3aZFJVSncpBJ5/w5nJpCoedFjnfcLY/sjPAplbmRzdHJlYW0KZW5kb2JqCjI3IDAgb2JqCjw8IC9MZW5ndGggNTQgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMzYzVDBQMLFUMDI2UTA2NAJiE4UUQy6gCIiVywUTywGzQKpyuKDKc2CqcrgyuNIABRgOMgplbmRzdHJlYW0KZW5kb2JqCjI4IDAgb2JqCjw8IC9UeXBlIC9YT2JqZWN0IC9TdWJ0eXBlIC9Gb3JtIC9CQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvTGVuZ3RoIDM5Ci9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nOMyNDBTMDY1VcjlMjc2ArNywCwjcyMgCySLYEFkM7jSABXzCnwKZW5kc3RyZWFtCmVuZG9iagoyOSAwIG9iago8PCAvTGVuZ3RoIDgzIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nEWMuw3AMAhEe6ZgBH4m9j5RlMLevw0QJW64J909XB0JmSluM8NDBp4MLIZdcYH0ljALXEdQjp3so2HVvuoEjfWmUvPvD5Se7KzihusBAkIaZgplbmRzdHJlYW0KZW5kb2JqCjMwIDAgb2JqCjw8IC9MZW5ndGggMTUwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nD1POQ7DMAzb/Qp+IIB1WLbekyLokP5/reigHQQRoHjIsqNjBQ4xgUnHHImXtB/8NI1ALIOaI3pCxTAscDZJgYdBVklXPlucTCG1BV5I+NYUPBtNZIKex4gduJPJ6APvUluxdegB7RBVJF2zDGOxrbpwPWEENcV6Feb1MGOJkkefVUvrAQUT+NL5f+5u73Z9AWDFMF0KZW5kc3RyZWFtCmVuZG9iagozMSAwIG9iago8PCAvTGVuZ3RoIDE1MSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1j8sNwzAMQ++aggsE0M+yPE+KoId0/2slpwUMmDDJJ9kWg5GMQ0xg7Jhj4SVUT60+JCO3ukk5EKlQNwRPaEwMM5ykS+CV6b5lPLd4Oa3UBZ2QyN1ZbTREGc08hqOn7BVO+i9zk6iVGWUOyKxT3U7IyoIVmBfUct/PuK1yoRMetivDojvFiHKbGWn4/e+kN11f3Hgw1QplbmRzdHJlYW0KZW5kb2JqCjMyIDAgb2JqCjw8IC9MZW5ndGggNTEgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMza0UDBQMDQwB5JGhkCWkYlCiiEXSADEzOWCCeaAWQZAGqI4B64mhyuDKw0A4bQNmAplbmRzdHJlYW0KZW5kb2JqCjMzIDAgb2JqCjw8IC9MZW5ndGggMzIwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nDVSS24FMQjbzym4QKXwT87zqqqLvvtvaxO9FUwwYOMpL1nSS77UJdulw+RbH/clsULej+2azFLF9xazFM8tr0fPEbctCgRREz1YmS8VItTP9Og6qHBKn4FXCLcUG7yDSQCDavgHHqUzIFDnQMa7YjJSA4Ik2HNpcQiJciaJf6S8nt8nraSh9D1Zmcvfk0ul0B1NTugBxcrFSaBdSfmgmZhKRJKX632xQvSGwJI8PkcxyYDsNoltogUm5x6lJczEFDqwxwK8ZprVVehgwh6HKYxXC7OoHmzyWxOVpB2t4xnZMN7LMFNioeGwBdTmYmWC7uXjNa/CiO1Rk13DcO6WzXcI0Wj+GxbK4GMVkoBHp7ESDWk4wIjAnl44xV7zEzkOwIhjnZosDGNoJqd6jonA0J6zpWHGxx5a9fMPVOl8hwplbmRzdHJlYW0KZW5kb2JqCjM0IDAgb2JqCjw8IC9MZW5ndGggMTggL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMza0UDCAwxRDrjQAHeYDUgplbmRzdHJlYW0KZW5kb2JqCjM1IDAgb2JqCjw8IC9MZW5ndGggMzQwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nDVSOW4EMQzr/Qp9IIBu2+/ZIEiR/L8NqdkUA3F0UpQ7WlR2y4eFVLXsdPm0ldoSN+R3ZYXECcmrEu1ShkiovFYh1e+ZMq+3NWcEyFKlwuSk5HHJgj/DpacLx/m2sa/lyB2PHlgVI6FEwDLFxOgals7usGZbfpZpwI94hJwr1i3HWAVSG9047Yr3oXktsgaIvZmWigodVokWfkHxoEeNffYYVFgg0e0cSXCMiVCRgHaB2kgMOXssdlEf9DMoMRPo2htF3EGBJZKYOcW6dPTf+NCxoP7YjDe/OirpW1pZY9I+G+2Uxiwy6XpY9HTz1seDCzTvovzn1QwSNGWNksYHrdo5hqKZUVZ4t0OTDc0xxyHzDp7DGQlK+jwUv48lEx2UyN8ODaF/Xx6jjJw23gLmoj9tFQcO4rPDXrmBFUoXa5L3AalM6IHp/6/xtb7X1x8d7YDGCmVuZHN0cmVhbQplbmRvYmoKMzYgMCBvYmoKPDwgL0xlbmd0aCAyNTEgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicLVFJcgNBCLvPK/SEZqffY5crh+T/1wjKBwYNi0B0WuKgjJ8gLFe85ZGraMPfMzGC3wWHfivXbVjkQFQgSWNQNaF28Xr0HthxmAnMk9awDGasD/yMKdzoxeExGWe312XUEOxdrz2ZQcmsXMQlExdM1WEjZw4/mTIutHM9NyDnRliXYZBuVhozEo40hUghhaqbpM4EQRKMrkaNNnIU+6Uvj3SGVY2oMexzLW1fz004a9DsWKzy5JQeXXEuJxcvrBz09TYDF1FprPJASMD9bg/1c7KT33hL584W0+N7zcnywlRgxZvXbkA21eLfvIjj+4yv5+f5/ANfYFuICmVuZHN0cmVhbQplbmRvYmoKMzcgMCBvYmoKPDwgL0xlbmd0aCA4OSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1TbkRgDAM6z2FR8CPSLwPx1GE/VvshDSWTp8Rygdr5AGC4Y0vIfiiLxmEtQsPKvtIdNhEDWcVJBPDryzwqpwVbXMlE9lZTKOzQcv0re1vgx66P92OHAoKZW5kc3RyZWFtCmVuZG9iagozOCAwIG9iago8PCAvTGVuZ3RoIDIxNSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1UTkOAyEM7PcV/kAkjC94T6Iozf6/zYzRVh7BXIa0lCGZ8lKTqCHlUz56mS6cutzXzGo055a0LXOAuLa8L62SwIlmiIPBaZi4AZo8AUPX0ahRQxce0NSlUyiw3AQ+irduD91jtYGXtiHniSBiKBksQc2pRRMWbc8npDW/Xosb3pft3chTpcaWGIEGAVY4HNfo1/CVPU8m0XQVMtSrNcsYCRNFIjz5jqbVE+taNNIyEtTGEaxqA7w7/TBOAAATccsCZJ9KlLPkxG+x9LMGV/r+AZ9HVJYKZW5kc3RyZWFtCmVuZG9iagoyMSAwIG9iago8PCAvVHlwZSAvRm9udCAvQmFzZUZvbnQgL0JNUVFEVitEZWphVnVTYW5zIC9GaXJzdENoYXIgMCAvTGFzdENoYXIgMjU1Ci9Gb250RGVzY3JpcHRvciAyMCAwIFIgL1N1YnR5cGUgL1R5cGUzIC9OYW1lIC9CTVFRRFYrRGVqYVZ1U2FucwovRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdCi9DaGFyUHJvY3MgMjIgMCBSCi9FbmNvZGluZyA8PCAvVHlwZSAvRW5jb2RpbmcKL0RpZmZlcmVuY2VzIFsgMzIgL3NwYWNlIDQwIC9wYXJlbmxlZnQgL3BhcmVucmlnaHQgNDUgL2h5cGhlbiAvcGVyaW9kIDQ4IC96ZXJvIC9vbmUKL3R3byAvdGhyZWUgL2ZvdXIgL2ZpdmUgL3NpeCA1NiAvZWlnaHQgNjEgL2VxdWFsIDEyMCAveCBdCj4+Ci9XaWR0aHMgMTkgMCBSID4+CmVuZG9iagoyMCAwIG9iago8PCAvVHlwZSAvRm9udERlc2NyaXB0b3IgL0ZvbnROYW1lIC9CTVFRRFYrRGVqYVZ1U2FucyAvRmxhZ3MgMzIKL0ZvbnRCQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvQXNjZW50IDkyOSAvRGVzY2VudCAtMjM2IC9DYXBIZWlnaHQgMAovWEhlaWdodCAwIC9JdGFsaWNBbmdsZSAwIC9TdGVtViAwIC9NYXhXaWR0aCAxMzQyID4+CmVuZG9iagoxOSAwIG9iagpbIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwCjYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgMzE4IDQwMSA0NjAgODM4IDYzNgo5NTAgNzgwIDI3NSAzOTAgMzkwIDUwMCA4MzggMzE4IDM2MSAzMTggMzM3IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYKNjM2IDYzNiAzMzcgMzM3IDgzOCA4MzggODM4IDUzMSAxMDAwIDY4NCA2ODYgNjk4IDc3MCA2MzIgNTc1IDc3NSA3NTIgMjk1CjI5NSA2NTYgNTU3IDg2MyA3NDggNzg3IDYwMyA3ODcgNjk1IDYzNSA2MTEgNzMyIDY4NCA5ODkgNjg1IDYxMSA2ODUgMzkwIDMzNwozOTAgODM4IDUwMCA1MDAgNjEzIDYzNSA1NTAgNjM1IDYxNSAzNTIgNjM1IDYzNCAyNzggMjc4IDU3OSAyNzggOTc0IDYzNCA2MTIKNjM1IDYzNSA0MTEgNTIxIDM5MiA2MzQgNTkyIDgxOCA1OTIgNTkyIDUyNSA2MzYgMzM3IDYzNiA4MzggNjAwIDYzNiA2MDAgMzE4CjM1MiA1MTggMTAwMCA1MDAgNTAwIDUwMCAxMzQyIDYzNSA0MDAgMTA3MCA2MDAgNjg1IDYwMCA2MDAgMzE4IDMxOCA1MTggNTE4CjU5MCA1MDAgMTAwMCA1MDAgMTAwMCA1MjEgNDAwIDEwMjMgNjAwIDUyNSA2MTEgMzE4IDQwMSA2MzYgNjM2IDYzNiA2MzYgMzM3CjUwMCA1MDAgMTAwMCA0NzEgNjEyIDgzOCAzNjEgMTAwMCA1MDAgNTAwIDgzOCA0MDEgNDAxIDUwMCA2MzYgNjM2IDMxOCA1MDAKNDAxIDQ3MSA2MTIgOTY5IDk2OSA5NjkgNTMxIDY4NCA2ODQgNjg0IDY4NCA2ODQgNjg0IDk3NCA2OTggNjMyIDYzMiA2MzIgNjMyCjI5NSAyOTUgMjk1IDI5NSA3NzUgNzQ4IDc4NyA3ODcgNzg3IDc4NyA3ODcgODM4IDc4NyA3MzIgNzMyIDczMiA3MzIgNjExIDYwNQo2MzAgNjEzIDYxMyA2MTMgNjEzIDYxMyA2MTMgOTgyIDU1MCA2MTUgNjE1IDYxNSA2MTUgMjc4IDI3OCAyNzggMjc4IDYxMiA2MzQKNjEyIDYxMiA2MTIgNjEyIDYxMiA4MzggNjEyIDYzNCA2MzQgNjM0IDYzNCA1OTIgNjM1IDU5MiBdCmVuZG9iagoyMiAwIG9iago8PCAvZWlnaHQgMjMgMCBSIC9lcXVhbCAyNCAwIFIgL2ZpdmUgMjUgMCBSIC9mb3VyIDI2IDAgUiAvaHlwaGVuIDI3IDAgUgovb25lIDI5IDAgUiAvcGFyZW5sZWZ0IDMwIDAgUiAvcGFyZW5yaWdodCAzMSAwIFIgL3BlcmlvZCAzMiAwIFIgL3NpeCAzMyAwIFIKL3NwYWNlIDM0IDAgUiAvdGhyZWUgMzUgMCBSIC90d28gMzYgMCBSIC94IDM3IDAgUiAvemVybyAzOCAwIFIgPj4KZW5kb2JqCjMgMCBvYmoKPDwgL0YyIDE1IDAgUiAvRjEgMjEgMCBSID4+CmVuZG9iago0IDAgb2JqCjw8IC9BMSA8PCAvVHlwZSAvRXh0R1N0YXRlIC9DQSAwIC9jYSAxID4+Ci9BMiA8PCAvVHlwZSAvRXh0R1N0YXRlIC9DQSAxIC9jYSAxID4+Ci9BMyA8PCAvVHlwZSAvRXh0R1N0YXRlIC9DQSAwLjggL2NhIDAuOCA+PiA+PgplbmRvYmoKNSAwIG9iago8PCA+PgplbmRvYmoKNiAwIG9iago8PCA+PgplbmRvYmoKNyAwIG9iago8PCAvRjEtRGVqYVZ1U2Fucy1taW51cyAyOCAwIFIgPj4KZW5kb2JqCjIgMCBvYmoKPDwgL1R5cGUgL1BhZ2VzIC9LaWRzIFsgMTEgMCBSIF0gL0NvdW50IDEgPj4KZW5kb2JqCjM5IDAgb2JqCjw8IC9DcmVhdG9yIChNYXRwbG90bGliIHYzLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1Y2VyIChNYXRwbG90bGliIHBkZiBiYWNrZW5kIHYzLjcuMSkKL0NyZWF0aW9uRGF0ZSAoRDoyMDIzMTEwMzA4MTg1MSswMicwMCcpID4+CmVuZG9iagp4cmVmCjAgNDAKMDAwMDAwMDAwMCA2NTUzNSBmIAowMDAwMDAwMDE2IDAwMDAwIG4gCjAwMDAwMTQzNDQgMDAwMDAgbiAKMDAwMDAxNDA2OCAwMDAwMCBuIAowMDAwMDE0MTExIDAwMDAwIG4gCjAwMDAwMTQyNTMgMDAwMDAgbiAKMDAwMDAxNDI3NCAwMDAwMCBuIAowMDAwMDE0Mjk1IDAwMDAwIG4gCjAwMDAwMDAwNjUgMDAwMDAgbiAKMDAwMDAwMDM0MiAwMDAwMCBuIAowMDAwMDA2MjY0IDAwMDAwIG4gCjAwMDAwMDAyMDggMDAwMDAgbiAKMDAwMDAwNjI0MyAwMDAwMCBuIAowMDAwMDA3MjU3IDAwMDAwIG4gCjAwMDAwMDcwNDIgMDAwMDAgbiAKMDAwMDAwNjcwNSAwMDAwMCBuIAowMDAwMDA4MzEwIDAwMDAwIG4gCjAwMDAwMDYyODQgMDAwMDAgbiAKMDAwMDAwNjUzOCAwMDAwMCBuIAowMDAwMDEyNzg1IDAwMDAwIG4gCjAwMDAwMTI1NzggMDAwMDAgbiAKMDAwMDAxMjE0NiAwMDAwMCBuIAowMDAwMDEzODM4IDAwMDAwIG4gCjAwMDAwMDgzNTIgMDAwMDAgbiAKMDAwMDAwODgyMCAwMDAwMCBuIAowMDAwMDA4OTY2IDAwMDAwIG4gCjAwMDAwMDkyODggMDAwMDAgbiAKMDAwMDAwOTQ1NCAwMDAwMCBuIAowMDAwMDA5NTgwIDAwMDAwIG4gCjAwMDAwMDk3NTIgMDAwMDAgbiAKMDAwMDAwOTkwNyAwMDAwMCBuIAowMDAwMDEwMTMwIDAwMDAwIG4gCjAwMDAwMTAzNTQgMDAwMDAgbiAKMDAwMDAxMDQ3NyAwMDAwMCBuIAowMDAwMDEwODcwIDAwMDAwIG4gCjAwMDAwMTA5NjAgMDAwMDAgbiAKMDAwMDAxMTM3MyAwMDAwMCBuIAowMDAwMDExNjk3IDAwMDAwIG4gCjAwMDAwMTE4NTggMDAwMDAgbiAKMDAwMDAxNDQwNCAwMDAwMCBuIAp0cmFpbGVyCjw8IC9TaXplIDQwIC9Sb290IDEgMCBSIC9JbmZvIDM5IDAgUiA+PgpzdGFydHhyZWYKMTQ1NjEKJSVFT0YK",
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -3-x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,0.8,1000)\n",
    "l_x0 = [-0.02, 1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [-0.3, 1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.axhline(y = 0., color = 'black', ls = '-')\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 3-x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [-1.5, 1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.axhline(y = np.sqrt(3), color = 'black', ls = '-')\n",
    "ax3.axhline(y = -np.sqrt(3), color = 'black', ls = '--')\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "d113abbb-67cc-4067-86af-a5f4acf85bf2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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XlAkAsCPDkKrypeJV5mv3SvPBq5aj7JoZly1ljPU/fNWcNFQff7RY5513npzdbdtZ2BohNoj88pe/1OTJk9udd7lcuvvuu/XII4/4Q+wNN9ygG264oV3bd955Ry6XS5dddllXlwsA6K7qK1tHVw8H1/p97duFxZmBNWOsdHiUNeprz1N4vQEpGT0PITaIXH755ce89v3vf19VVVWqra097tazdXV1euaZZxQSwo8GAPQI3oZDO16tag2tlTvbt3OFHnrwKq81tCb0YaUAWIak0kOEhITonnvuOWG7K664IgDVAAAs4fNJlTsOzWM9FFpL10u+o4yW9up3aJT1UGhNHSaFeAJfM3AMhFgAAILVgbLWOazFq8zlrY62HmtEojmyenhqQPpoKSIh8PUCJ4EQCwBAMGhukkq/knavMF9FK6TqwvbtQsLMDQQy88ylrTLyzIexmBYAmyHEfo1hGFaXYEt83wAgwKp3HwqsK6Wi5cdYLcAhJQ00g2rmoVFW1mNFkCDEHuI+tOxHfX0966OegsNb1LpZPgUAOp/3oBlSd68wA+vulVLtUbZGD0+Qss4wR1kzx5mrBYTFBL5eIAAIsYe4XC7FxcWprKxMkhQREXHULVlPhs/nU1NTkxoaGuTswm1nrWQYhurr61VWVqa4uLgObaYAADgOw5D2F7SOsO5eYa4e8PWHrxwu82GrzHGtL1YLQA9CiD1CamqqJPmD7OkyDEMHDx5UeHj4aQfi7i4uLs7//QMAnISmOnOL1sMjrLtXSHVH+XsoMvmIUdYzpPRRUmhkwMsFugtC7BEcDofS0tKUnJwsbycszuz1erVo0SJNmzYtqP+b3e12MwILAB1hGOYarIdHWHcvl/ZulIyWtu2cbiltRNtRVh6+AtogxB6Fy+XqlFDmcrnU3NyssLCwoA6xAIBjaKozd74q+txcLWD3CulgZft20elS1uHAeoYZYN08nwEcDyEWAIDOUl0sFX3R+trzVftRVpfHnApw5ChrbIYl5QJ2RogFAOBUtDRLe9ebUwOKPjffVhe1bxedLmWPN0dYs8az8xXQSQixAAB0xMH9h1YM+MIMrbtXSd66tm0cTillmJQ9wQysWeOl2EzmsgJdgBALAMDXHfkA1uFR1rJNkr62sYsnxpwOkD3BXDkgI0/yRFlSMtDTEGIBAGhulErWtJ3PWlfevl18rjm6mn1olDVpkORkdRbACoRYAEDPU18pFX4uFS4zA2vJaqmlqW0bV6iUNqo1sGaeIUWnWFIugPYIsQCA4Le/UCpYZobWwmVS+eb2bSIS246ypo2S3GEBLxVAxxBiAQDBxeczQ2rh0kPB9XOpZnf7dokDzLms2RPN0MqWrYCtEGIBAPZ2eD5r4dJDUwQ+lxr2t23jcElpI6Xek8zQmj1Biky0oloAnYQQCwCwl4Yac7WAw1MDildJzQ1t27gjzFUDek8yA2vmOCk00pp6AXQJQiwAoFvzePfLsekNafeh4Lp3vWT42jaK6HVohHWi1HuilDpCcrHdNxDMCLEAgO7DMKSqXVL+EqlwmUIKlurcql3S+q+1i+t9xNSAiVJif+azAj0MIRYAYB3DkPZtl/I/kwqWmOG1tsR/2SHJkENKHipH70OjrNkTpZh062oG0C0QYgEAgXN45YCCJa2hta6sbRunW8oYI/WepOaM8frvxirNvvByud1MDwDQihALAOg6Pp85h7VgyaHR1qXSwcq2bVweKTNP6j1ZyplsbioQGiFJMrxeNW9914LCAXR3hFgAQOdpaZZK15phNX+JuexVQ3XbNiHhUtYZUs4UM7hmjGVTAQAnjRALADh1LV5zy9bDc1oLv5Caatu2CY0yNxPImSz1niKlj5ZCQq2pF0DQIMQCADquxSsVfynlLzKDa9FyyVvfto0n1nwAq/dk85U2UnLx1w2AzsWfKgCAY/O1SHvWSLsWS/mLzW1cvXVt24THtwbWnMlSyjDJ6bKkXAA9ByEWANDq8INY+YvN4FqwRGqsadsmPN6cz5ozzQytSYMlp9OaegH0WIRYAOjJDMNc8mrX4tYpAger2rbxxJobC+ROk3KnSslDCa0ALEeIBYCexDCkyp3SroWHgutn7ddpdUeac1pzp0k5U805rUwPANDNEGIBINhVFRyaHrDIDK5H7IglSQoJM1cPyJ1mvtJHSy42FgDQvRFiASDY1FWYI607PzVf+wvbXneFmhsK5E41R1oz86QQjxWVAsApI8QCgN011ZmrBuz8RNq5UNq7ru11Z4i5oUDOVDO4Zo2X3OHW1AoAnYQQCwB209IslXzZOtJatFzyedu2SRku9Zku9ZkhZU+UPFEWFAoAXYcQCwDdnWFI5Vtapwjkf9Z+2avYbKnvDCl3uvmKSrKiUgAIGEIsAHRHNSXm1IDDo60HStteD483H8LqM8N8xedKDkfg6wQAixBiAaA7aKgxVxDY+akZXiu2tL0eEmZOCzgcWlNHsFYrgB6NEAsAVvC1SCVrpB0fSTs+Nue1Gi2t1x1Oc6mrw6E18wzJHWZRsQDQ/RBiASBQqovNwLrjI3PE9es7YyX0lfqeaT6QlTPFnDIAADgqQiwAdJWmeqlgqRlat3/UfoqAJ9YMrH3PNF/xva2pEwBsiBALAJ3FMKS9G1qnCBQsk1oaW687nFJGnhlY+50lpY+RXPwxDACngj89AeB0HCg3NxnY8bH5OrC37fXYrNaR1j7TmSIAAJ2EEAsAJ6PFKxV+3jpFoPSrttfdEebOWIdHW3v1Y+krAOgChFgAOJGaEmn7h9K2D8zlr76+0UDqiNbQmjVeCvFYUycA9CCEWAD4upZmafdyM7Ru+1Dau67t9YhEM7D2PUvqO1OKSramTgDowQixACBJtaWHRlsXSDs+kRqrj7jokDLGSv1nS/3PltJGs9EAAFjMNiH2oYce0quvvqrNmzcrPDxckyZN0sMPP6yBAwdaXRoAO2pplopXmqF12wft57aGJ5ijrf1nm1MFIhOtqRMAcFS2CbELFy7UzTffrHHjxqm5uVn33HOPZs+erY0bNyoyMtLq8gDYwYEy82GsbR+YKwk07G97PX30odHW2eb7TpclZQIATsw2Ifb9999vc/zMM88oOTlZq1at0rRp0yyqCkC3ZvgUW79LzkUPSzs+lEpWt70eFmeOtvabZb5lbisA2IZtQuzXVVeb89USEhKO2aaxsVGNja0LjdfUmE8Ue71eeb3eri3w0H2OfAv7oQ9tyFsvx65Fcm77r1zbPtCMur3SERtlGakj5Ot7tox+Z8tIHyM5j/hjkH7udvgdtD/60P4C3YcdvY/DMAyji2vpdIZh6KKLLlJVVZUWL158zHZz587V/fff3+78/PnzFRER0ZUlAgigsKZKpdSsUWr1aiXVbpTLaP0DsNnpUVn0MO2NHa29MSPU6I6zrlAAwAnV19frmmuuUXV1tWJiYo7ZzpYh9uabb9Y777yjzz77TJmZmcdsd7SR2KysLFVUVBz3m9JZvF6vFixYoFmzZsntdnf5/dD56MNuyvDJsWeNHNs+kHPbf+X42hJYRmyWfP3PkTf3TC3YelBnnXMe/WdT/A7aH31of4Huw5qaGiUmJp4wxNpuOsGPf/xjvfnmm1q0aNFxA6wkeTweeTztFx13u90B/UUK9P3Q+ejDbqCpTtr5qbT1fWnrf7+2vatDyhwnDTxXGnCuHMlD5HI45PN65dv+Lv0XBOhD+6MP7S9QfdjRe9gmxBqGoR//+Md67bXX9Omnnyo3N9fqkgB0tepiaet7ZmjduVBqaf2fFYVGmUtfDZxjPpgVlWRdnQCAgLNNiL355ps1f/58vfHGG4qOjlZpaakkKTY2VuHh4RZXB6BTGIZUvlna/La0+Z32qwnEZUsD5pgjrr0ns70rAPRgtgmxjz/+uCRpxowZbc4/88wzuuGGGwJfEIDO4WuRdq9oDa6VO4+46JCyzpAGmNMElDxYcjgsKxUA0H3YJsTa8PkzAMfibZB2LTSD65b3pLry1msuj9RnhjTofHOqAGu3AgCOwjYhFoDNHayStn5gBtftH0neutZrnlhpwDlmcO13luSJtq5OAIAtEGIBdJ3q3dLmd83gWrBE8jW3XovJkAaeZwbXnCmSi6eWAQAdR4gF0Ln27ZA2viFterP9g1nJQ8zQOuh8KW0U81sBAKeMEAvg9JVtbg2ue9cfccEhZU84NL/1PKlXX8tKBAAEF0IsgJNnGFLputbgWrG19ZrDJeVOk4ZcZIZXHswCAHQBQiyAjjEMqfhLadMbZnitym+95nSbGw8MudAccY1IsKxMAEDPQIgFcGw+n1T0hTnauvFNqWZ367WQMKnf2eaI64BzpLBY6+oEAPQ4hFgAbfl80u7l0vpXzRHXA6Wt19yR0oDZ0uALpf6zJU+UdXUCAHo0QiyA1qkCG16VNrwm1RS3XvPEmJsODL7QXMPVzTbPAADrEWKBnurww1kbXjVHXfcXtF4LjZYGnScNvUTqO1MK8VhXJwAAR0GIBXqass3S+lfM8Lpve+t5d4Q04Fxp2CXmXFdGXAEA3RghFugJ9u0wR1s3vCqVbWw97/JI/WeZwXXAuVJopHU1AgBwEgixQLCq3m2OuK77j1T6Vet5p9uc2zr0EnOua1iMdTUCAHCKCLFAMDm431xRYN2/pfzPJBnmeYdL6jPDHHEddL4UHm9hkQAAnD5CLGB3zY3S1v9K614237Y0tV7LniQNv8xcyzUy0boaAQDoZIRYwI58PqlgiRlcN7whNVa3XksaLI24wgyvcdnW1QgAQBcixAJ2UrreDK7r/tN2LdfodDO0jrhCShkmORzW1QgAQAAQYoHurqZE+uol6auX264s4ImVhlwojbhS6j1ZcjqtqxEAgAAjxALdkfegtPkdac18aecnkuEzz7tCze1eR1xpvnWHWVsnAAAWIcQC3YVhSEXLpTUvmFu/Nta0XsueJI280nxAi5UFAAAgxAKW218kffWitOZfUuWO1vOx2dKoq6WRV0kJfayrDwCAbogQC1ihqU7a9JY5XWDXIvnXc3VHmqOto65hnisAAMdBiAUCxTCk3SulL581pws0HWi9ljPVDK6DL5Q8UdbVCACATRBiga5WXymtfVH68p9S+abW8/E50qhvmQ9pxfe2rDwAAOyIEAt0BZ9Pyl9kBtdNb7XuohUSLg29WBp9ndR7Euu5AgBwigixQGeqKTFXF/jyOWl/Qev5tJHSmG9Lwy6TwuMsKw8AgGBBiAVOV0uztO0Dc9R1239b13T1xEjDLzfDa/ooS0sEACDYEGKBU1W9W1o1zxx1PVDaej57khlch1wkhUZYVh4AAMGMEAucDJ9P2vGxtPIf0tb3W0ddIxLN1QVGXyclDbC2RgAAegBCLNAR9fuk9S9JK5+Rqna1ns+ZKo37rjTwfCkk1Lr6AADoYQixwLEYhhy7l2tM/t8V8uj3pJZG87wn1hx1zfsOo64AAFiEEAt8XeMBad3L0oqnFbJ3nbIOn08bZY66DrtUCo20sEAAAECIBQ6r3CUt/z9p9XNSY40kyQgJU1HMOKVf9EuF9B5vcYEAAOAwQix6NsOQ8hdLn/9d2vKuJMM8n9BXGvddNQ+9XKs/Waa09DGWlgkAANoixKJn8h6UvnpZ+uIJqWxD6/m+Z0kTfmi+dTolr9e6GgEAwDERYtGzVBdLK54y13c9WGmec0eYD2qd8QMe1AIAwCYIsegZipZLn/9N2vimZLSY5+KypTO+b67tylawAADYCiEWwcvXYs5zXfKotHt56/mcqdL4m6SBcySny7r6AADAKSPEIvh4D0pr/yUtfUyq3GGec4VKw6+QJtwkpQ63tj4AAHDaCLEIHnX7zPmuy5+U6ivMc2Gx0rj/Mee7RqdYWx8AAOg0hFjYX+UuadlfpdXPS80HzXOx2dLEH5nzXT1R1tYHAAA6HSEW9rXnK2nxH6VNb0qGzzyXNlKa9BNpyMWSix9vAACCFX/Lw36KVkiL/yBtfb/1XL+zzfCaO01yOKyrDQAABAQhFvZgGFL+Z9Ki30u7FprnHE5p6DelKbdLqcOsrQ8AAAQUIRbdm2FI2z80w2vRF+Y5Z4g04ippym1SYj9r6wMAAJYgxKJ78vmkzW+b0wb2rDXPuTzSmOukyT81NyoAAAA9FiEW3YvPJ21+S/r0t1LZRvOcO1LKu1Ga9GMpOtXa+gAAQLdAiEX3YBjmg1qfPCCVrjPPeWKl8d+Xxv9QiuxlbX0AAKBbIcTCWoYh7fhI+uRBqXiVeS40WprwQ2nizVJ4nKXlAQCA7okQC+vsXGiG16LPzWN3hHTG9805rxEJ1tYGAAC6NUIsAq9ohfTR/VL+YvM4JMzcGnbyT6WoZGtrAwAAtkCIReBUbDfD66Y3zWNXqDT2BnOd15g0S0sDAAD2QohF1ztQZq42sGqeZLRIckijviXNuEuKy7K6OgAAYEOEWHSdxgPS0r+YL2+dea7/OdLZc6WUIZaWBgAA7I0Qi87X4jVHXRc+LNWVm+fSx0izfy3lTLG0NAAAEBycVhdwMhYtWqQLLrhA6enpcjgcev31160uCV+3bYH0t4nSuz8zA2xCH+nyedL3PibAAgCATmOrkdi6ujqNHDlSN954oy699FKry8GRKrZJ/71b2vaBeRyRaM55HXuD5HJbWhoAAAg+tgqxc+bM0Zw5c6wuA0c6uF9a+Dtp+ROSr1lyuqUJN0nT7pDCYq2uDgAABClbhdiT1djYqMbGRv9xTU2NJMnr9crr9Xb5/Q/fIxD3Cjhfixxrnpdr4YNy1O8zT/U/Ry1n/0pK6Gu2CYKvO6j7sAeg/+yPPrQ/+tD+At2HHb2PwzAMo4tr6RIOh0OvvfaaLr744mO2mTt3ru6///525+fPn6+IiIgurC64xdXt0MiieYo7WCBJqg1L17qMa1QeM8LiygAAgN3V19frmmuuUXV1tWJiYo7ZLqhD7NFGYrOyslRRUXHcb0pn8Xq9WrBggWbNmiW3OwjmhTZUy/nJb+T8cp4cMmSExco37U75xtwYtPNeg64Pexj6z/7oQ/ujD+0v0H1YU1OjxMTEE4bYoJ5O4PF45PF42p13u90B/UUK9P06nWFI6/5tPrh1eMmskVfLMevXckUlyWVtdQFh+z7s4eg/+6MP7Y8+tL9A9WFH7xHUIRadoGKb9M7t0q5F5nHiAOn8R6TcqdbWBQAAejRbhdgDBw5o+/bt/uNdu3ZpzZo1SkhIUHZ2toWVBaHmJmnxH6XPHpFamqSQMHPFgUk/kUJCra4OAAD0cLYKsStXrtTMmTP9x7fffrsk6frrr9e8efMsqioIFa+S3rhFKttoHvebJZ33eykh19q6AAAADrFViJ0xY4Zs+hyaPXgPSp/+Vlr6qGT4zA0Lzvu9NPSbksNhdXUAAAB+tgqx6EKFX0hv3Czt22YeD7tMmvM7KbKXtXUBAAAcBSG2p2tulD76lbTsr5IMKSpV+sYj0qDzra4MAADgmAixPdnejdKr35P2rjePR31LOucBKTze2roAAABOgBDbE/l80hd/lz6cK7U0mnNfL3pMGjjH6soAAAA6hBDb09SUSK//UNr5qXnc/xwzwEYlW1oWAADAySDE9iRb3pdev0k6WCWFhEvn/EbK+y4rDwAAANshxPYELc3Sx7+SlvzZPE4bKV3ylJQ0wNq6AAAAThEhNtjVlEj/+a5UuNQ8Hn+TNOvX7LoFAABsjRAbzHZ8Ir3yP1J9hRQabc59HXqx1VUBAACcNkJsMPL5pMV/kD55UJIhpQyXrnhW6tXX6soAAAA6BSE22DTVSa/dJG160zwe821z5y13uLV1AQAAdCJCbDDZXyj96xpp7zrJFSqd/4g05jqrqwIAAOh0hNhgUbBMeulac/5rZJJ05QtS9nirqwIAAOgShNhg8NW/zQ0MfF4pdYR01XwpLsvqqgAAALoMIdbODENa+qi04F7zePCF0jf/LoVGWlsXAABAFyPE2pWvRfrv3dIXfzePJ9wszf6N5HRaWxcAAEAAEGLtyNsgvfZ9aeMb5vHsB6RJt1hbEwAAQAARYu2mqV568Rpp5yeS021OHxh+mdVVAQAABBQh1k6a6qT5V0r5iyV3pHT1v6Q+062uCgAAIOAIsXbRWCu9cIVUuFQKjZK+9R+p90SrqwIAALAEIdYOGmqkFy6Tir6QPDHSta9KWeOsrgoAAMAyhNjurqlOeuFyM8CGxUrXvS5ljLG6KgAAAEsRYruz5ibp5W9LRZ+bAfb6t6S0kVZXBQAAYDkWFe2ufC3mMlrbP5TcEdI1/ybAAgAAHEKI7a7e/4W04TVzGa0rn5Oyx1tdEQAAQLdBiO2OvnhSWv6E+f4lT0r9zra2HgAAgG6GENvdbFsgvX+n+f5Z90nDLrG2HgAAgG6IENudlG2W/n2jZPikUddKU26zuiIAAIBuiRDbXTQeMFciaKqVek+RvvG/ksNhdVUAAADdEiG2OzAM6e3bpIotUnSadPk8KSTU6qoAAAC6LUJsd/Dls9K6lyWHS7rsaSkqyeqKAAAAujVCrNXKNkvv/tx8/6x7pd6TrK0HAADABgixVvK1SG/cLLU0mstoTfqJ1RUBAADYAiHWSp8/LhWvlDwx0gWPSk66AwAAoCNITVbZt0P6+Nfm+7N/I8VmWFsPAACAjRBirWAY0ps/kZobpNzp0phvW10RAACArRBirbDhVangM8kdIV34KOvBAgAAnCRCbKB5D0oL7jPfn3KbFJ9jaTkAAAB2RIgNtC+ekKqLpJhMaeItVlcDAABgS4TYQGo8IC191Hz/zHuk0Ahr6wEAALApQmwgrXhKqt8nJfSRhl9hdTUAAAC2RYgNlOYmadlfzfen3SG5QqytBwAAwMYIsYGy8Q2prkyKTpOGX251NQAAALZGiA2U5U+Yb/O+I7nc1tYCAABgc4TYQChdJ+1eITnd0tgbrK4GAADA9gixAeDc9Ib5zsBzpahka4sBAAAIAoTYrmYYcm5+y3x/yMWWlgIAABAsCLFdLLqhWI7KHZLLIw04x+pyAAAAggIhtoul719hvtP3TMkTbW0xAAAAQYIQ28Xi67ab7wyYbW0hAAAAQYQQ28Uim8rMdxIHWFsIAABAECHEdiVfiyIaK8z343MsLQUAACCYEGK7Uk2xnGqR4QqVotOtrgYAACBoEGK7kGN/vvlOXLbk5FsNAADQWUhWXamqQJJkxOVYWwcAAECQOakQ+8ILL2jFCnPJqJUrV2r+/PldUtTx/O1vf1Nubq7CwsI0duxYLV68OOA1dNThkViD+bAAAACd6qRC7MSJE3XHHXeopaVFP/vZzzRx4sSuquuoXnrpJd1666265557tHr1ak2dOlVz5sxRYWFhQOvoKEdVvvlOXG9L6wAAAAg2HQ6xhYWFCgkJ0cSJEzVr1ixNmjRJLpcroAHykUce0Xe/+139z//8jwYPHqw//elPysrK0uOPPx6wGk7KoRDLSCwAAEDnCulow/vuu0+StHv3bi1evFghISG677775HA49PTTT3dZgYc1NTVp1apVuuuuu9qcnz17tpYuXdrl9z8Vjv3MiQUAAOgKHQ6xzzzzjCTp3HPP1ZtvvqlHH33Ufy4QKioq1NLSopSUlDbnU1JSVFpaetSPaWxsVGNjo/+4pqZGkuT1euX1eruuWEktdVUKa9gvSWoIT5O6+H7oGod/Trr65wVdg/6zP/rQ/uhD+wt0H3b0Ph0OsZL5UFVeXp7mzJmjzz//XI8//rh++MMfnlKBp8rhcLQ5Ngyj3bnDHnroId1///3tzn/wwQeKiIjokvoOC22sVHjLSEU6DmrDh0sV7+nS26GLLViwwOoScBroP/ujD+2PPrS/QPVhfX19h9qdVIi9+uqrtWTJEknS3Xff3e4mTzzxhH7wgx+czKfssMTERLlcrnajrmVlZe1GZw/7xS9+odtvv91/XFNTo6ysLM2ePVsxMTFdUueRzsrvrcLKg5o3bJQm90/u8vuh83m9Xi1YsECzZs2S2+22uhycJPrP/uhD+6MP7S/QfXj4f85P5KRCbHx8vC699FLdcssteuihhxQfHy9JKi8v13e+8x0tWbKky0JsaGioxo4dqwULFuib3/ym//yCBQt00UUXHfVjPB6PPJ72Q6ButzsgnZCdEKHCyoMqqfHyi2tzgfqZQdeg/+yPPrQ/+tD+AtWHHb3HSW92sGjRIr311lsaN26cNmzYoHfeeUfDhg3TgQMHtHbt2pMu9GTcfvvteuqpp/T0009r06ZNuu2221RYWKibbrqpS+97qrITwiVJRZUdGxYHAABAx5zUSKwkjR8/XqtXr9ZNN92ksWPHyufz6Te/+Y3uuOOOY85N7SxXXnml9u3bp1/96lfas2ePhg0bpnfffVe9e3fPdViz4s15t4VVBy2uBAAAILicdIiVpC1btmjFihXKzMxUSUmJNm/erPr6ekVGRnZ2fe386Ec/0o9+9KMuv09nyIo/NBJbxUgsAABAZzrp6QS//e1v/RserF+/XitWrNDq1as1YsQILVu2rCtqtK3sBHMktqiSkVgAAIDOdNIjsX/+85/1+uuva86cOZKkoUOHavny5br77rs1Y8aMNuuy9nS9e4Xr0pwWnTNl9HGXAgMAAMDJOekQu27dOiUmJrY553a79fvf/17f+MY3Oq2wYBARGqJpaYZmDkwiwAIAAHSik55O8PUAe6Tp06efVjEAAABAR5x0iMXJaWiW3ly7R6+s2m11KQAAAEHjlFYnQMdtqXbo6f+sU0ZcuC4Zk8G0AgAAgE7ASGwXGxxnKNztVPH+g1pf3LFt1AAAAHB8hNguFuqSpg9IkiS9u36PxdUAAAAEB0JsAJwzJFmS9NbaErX4DIurAQAAsD9CbACcPThZcRFu7a46qE+3lFldDgAAgO0RYgMgzO3SlXlZkqR5S/OtLQYAACAIEGID5NoJveV0SIYhNTa3WF0OAACArbHEVoBkJURoyV1nKi023OpSAAAAbI+R2AAiwAIAAHQOQqwF9tY06Lll+VaXAQAAYFtMJwiw6nqvzv7jQtU2NmtgaozOyE2wuiQAAADbYSQ2wGIj3LpgVLok6Vdvb2DdWAAAgFNAiLXA7bMGKNoTovXFNXpmyS6rywEAALAdQqwFEqM8uuf8wZKkP3ywRfkVdRZXBAAAYC+EWItcOS5Lk/v1UoPXpztf+Uo+phUAAAB0GCHWIg6HQ7+9ZIQiQl36Ylel/vPlbqtLAgAAsA1WJ7BQVkKEfjFnkAor63XBiHSrywEAALANQqzFrpuYY3UJAAAAtsN0gm6kucWnt78qkWEwPxYAAOB4GIntJnw+QzfOW6HF2ypUdbFX103obXVJAAAA3RYjsd2E0+nQlH6JkqT739ygJdsrLK4IAACg+yLEdiPfn9ZHF41KV7PP0E3Pr9L2sgNWlwQAANAtEWK7EYfDoYcvHaGxveNV29Cs78xboX0HGq0uCwAAoNshxHYzYW6XnrxurLISwlVYWa/vzFuhA43NVpcFAADQrRBiu6FeUR49c8MZio9wa0d5nXaWM60AAADgSKxO0E31S47Ss985Q5I0IjPO2mIAAAC6GUJsN/b18Lq97IB694qQ28UAOgAA6NlIQzaxvrhal/xtiW5+4Us1NfusLgcAAMBShFibqDjQqIZmnz7YuFc3Pb9KDd4Wq0sCAACwDCHWJmYMTNY/rs+TJ8SpjzeX6fvPEWQBAEDPRYi1kan9k/TMjeMU7nZp0dZyffsfy1Vd77W6LAAAgIAjxNrMpL6JevY7ZyjaE6Ll+ZW67O9LVVbbYHVZAAAAAUWItaEzchP07x9OVEqMR8kxHsWFh1pdEgAAQECxxJZNDUqN0Ws/mqzosBCFhvBvEQAA0LOQfmwsPS5c0WFu//HcNzfohS8KLKwIAAAgMBiJDRKLtpZr3tJ8SdLmPbW694IhbIoAAACCFiknSEztn6g7zhkoh0N67vMCffsfy1VV12R1WQAAAF2CEBskHA6Hbp7ZT09el6fIUJeW7dynC//6mdbtrra6NAAAgE5HiA0ys4ak6NUfTVZWQriKKg/q0seX6j+rdltdFgAAQKcixAahganRevuWqTp7cLK8Pp+Soj1WlwQAANCpeLArSMVGuPV/387TyoIqjctJ8J9v8LYozO2ysDIAAIDTx0hsEHM4HG0CbOG+es34/ad6eWWRDMOwsDIAAIDTQ4jtQeYtzVdpTYN+/p+v9KMXvmT1AgAAYFuE2B7knvMH6+fnDlSI06H31pfq3D8v0uJt5VaXBQAAcNIIsT2Iy+nQj2b00+s3T1afpEjtrWnUdf9Yrl+9tVEN3harywMAAOgwQmwPNCwjVu/8eKqum9BbkvT0kl3657J8a4sCAAA4CaxO0EOFh7r064uH6cxByZq3NF/XT8qxuiQAAIAOYyS2h5s5KFnPfucMeULMZbe8LT795F+r9WVhlcWVAQAAHBshFm3MW5KvN9eW6LLHl+qBd5grCwAAuidCLNq4bGymLhmdIZ8h/d/iXTrnT4u0aCsrGAAAgO6FEIs24iND9ciVo/T0DXlKjQlTwb56ffvp5frxv1arrKbB6vIAAAAk2SjEPvDAA5o0aZIiIiIUFxdndTlB78xBKVpw+zTdODlHTof01toS3f3aOqvLAgAAkGSjENvU1KTLL79cP/zhD60upceIDnPrvguG6s1bpmhcTrzumjPIf41tawEAgJVss8TW/fffL0maN2+etYX0QMMyYvXvmya1Offrtzep2efT7bMGKC4i1KLKAABAT2WbEHsqGhsb1djY6D+uqamRJHm9Xnm93i6//+F7BOJegVRUVa95S3fJZ0hvrinRrWf11ZV5mQpx2WZgv8OCtQ97CvrP/uhD+6MP7S/QfdjR+zgMm/2/8Lx583Trrbdq//79J2w7d+5c/wjukebPn6+IiIguqK7n2Frt0Ku7nNpz0CFJSgs3dEmuTwNibfXjBAAAupn6+npdc801qq6uVkxMzDHbWRpijxUyj7RixQrl5eX5j08mxB5tJDYrK0sVFRXH/aZ0Fq/XqwULFmjWrFlyu91dfr9Aa27x6aWVu/Wnj3Zo/0HzX02zBifrvm8MUkpMmMXVdY5g78NgR//ZH31of/Sh/QW6D2tqapSYmHjCEGvpdIJbbrlFV1111XHb5OTknPLn93g88ng87c673e6A/iIF+n6B4nZLN0zpq4vHZOlPH27Tc58X6ItdlYoI8wTd1xusfdhT0H/2Rx/aH31of4Hqw47ew9IQm5iYqMTERCtLQCeIiwjV3AuH6prx2cqvqFNCpPmgl2EYevurPZo9NMW/rS0AAEBnsM2DXYWFhaqsrFRhYaFaWlq0Zs0aSVK/fv0UFRVlbXGQJA1IidaAlGj/8SdbyvTjf61WVkK4fjZ7oC4YkS6n02FhhQAAIFjYJsTee++9evbZZ/3Ho0ePliR98sknmjFjhkVV4Xiamn1KivaoqPKgfvriGj21eJfumjNIk/sx+g4AAE6PbdZEmjdvngzDaPciwHZf5w5L08I7Zuj/mzVAUZ4QrSuu1ree+kLffnq5NpbUWF0eAACwMduEWNhTRGiIfnxWfy28Y4ZumJQjt8uhRVvLdetLq9n1CwAAnDLbTCeAvfWK8mjuhUN14+Qc/eGDrbpwZLocDnN+bIO3RWU1jcruxdq9AACgYwixCKjevSL1l6tHtzn33LICPfz+Zl2el6lbzuyvjLhwi6oDAAB2wXQCWG7jnho1+wz9a3mRZvz+E/3y9fUqrW6wuiwAANCNEWJhuf+9cpT+c9NETezTS94WQ899XqBpv/9Ev3pro/bWEGYBAEB7hFh0C3k5CfrX9ydo/vfGK693vJqafXp6yS498M4mq0sDAADdEHNi0a1M6puoiTf10uJtFXrs4+26aXpf/7U91QdV39SivklsbgEAQE9HiEW343A4NG1AkqYNSGpz/s8fbtNLK4t0/vA03TyznwanxVhUIQAAsBohFrZgGIZqG5plGNLbX+3R21/t0dmDU3TLmf00KivO6vIAAECAMScWtuBwOPTXb43Rez+dqm+MSJPDIX24aa8u/usSXfvUF1q2Y5/VJQIAgAAixMJWBqfF6LFrxujD26frsrGZCnE69Nn2Ci3bSYgFAKAnIcTClvomRekPl4/Up3fM0Hen5OrbE3v7ry3dXqH/W7RTtQ1eCysEAABdiTmxsLXM+Aj98htD2pz780fb9MWuSj368TZdMz5b35mcq5SYMIsqBAAAXYGRWAQVwzB0yZgM9U2KVG1Ds55YuFNTHv5YP/v3Wm0urbG6PAAA0EkIsQgqDodDV47L1oLbpuupb+fpjNwEeVsM/WfVbp37p8Wa++YGq0sEAACdgOkECEpOp0NnD0nR2UNStLqwSk8t3qX31u/RyKxYf5v6pmY1+wzFhLktrBQAAJwKQiyC3ujseP31W/Eq3n9QSVEe//n5XxTqfxds1WVjM3X9pBz1YScwAABsgxCLHiMjLrzN8bId+1TX1KJnlxXo2WUFmjEwSTdOztW0/olyOBwWVQkAADqCEIse66nr87Rk+z49s2SXPt5Spk+3lOvTLeXqmxSp/5naR1efkW11iQAA4BgIseixHA6HpvRP1JT+icqvqNOzy/L175W7taO8Tku2VxBiAQDoxgixgKScxEjdd8FQ3T5rgP6zardGZ8f7r5XWS1c/tVzXTsjRnOGp8oS4LKwUAABIhFigjegwt26cnNvm3JK9Tq0s3a+VBWv067dDdXlelr41PltZCREWVQkAAFgnFjiBszN8+umZfZUaE6Z9dU36+8Idmvb7T3TDM8v14ca9avEZVpcIAECPQ4gFTiA2VLplZl99dudMPXHdWE3tnyjDkD7dUq47/rNW3haf1SUCANDjMJ0A6KAQl1PnDE3VOUNTlV9Rp/nLCxUb7laY25wj6/MZ+vkrX+nswSk6a3Cy3C7+jQgAQFchxAKnICcxUnefN7jNuaU79uk/q3brP6t2KzHKo0vHZuiqcdnKTYy0qEoAAIIXQ0VAJ8lJjNBN0/sqMcqjigONemLhTs38w6e68ollem31bjV4W6wuEQCAoMFILNBJMuMjdNecQfr/Zg/Qx5vL9NKKIn26pUxf7KrUF7sqlRkfoXE5CVaXCQBAUCDEAp3MfcTc2ZL9B/WfVbu1sqBKeb1b1579v0U7FRri1IUj0xUfGWphtQAA2BMhFuhC6XHh+slZ/ducO9jUokc/3qbahmb95p2NOmtQii4dm6kZA5N4GAwAgA4ixAIBZsjw7wy2oaRG728o1fsbStUrMlQXjcrQleOyNDA12uoyAQDo1gixQIBFhIboxsm5unFyrjbtqdErq3br9TXFqjjQpKeX7FJEqEsDUwdaXSYAAN0aIRaw0OC0GP2/bwzRnXMGadHWcr3y5W5dOjbTf/2TzWV64YtCXTY2U2cOSlZoCNMNAACQCLFAt+B2OXXW4BSdNTilzfmXVhTpw0179eGmvYqLcOu84Wn65ugMjc2Ol9PpsKhaAACsR4gFurGfnTNAOYmRevXL3SqrbdT8Lwo1/4tCZcSF66JR6bp91gCF8DAYAKAH4m8/oBvrlxytu+YM0rJfnKXnvztel43NVJQnRMX7D2rh1vI2AbamwWthpQAABBYjsYANuJwOTemfqCn9E/Wbi4fpo01lcrtapxPUNng14cGPNDIzThePTte5w9IUG+62sGIAALoWIRawmTC3S+ePSGtzbkV+peqbWrRs5z4t27lPv3xjg84alKyLRmVo5qAkeUJcFlULAEDXIMQCQeDMQSla/POZenNtiV5fXaxtZQf03vpSvbe+VNFhIXrsmjGaPiDJ6jIBAOg0hFggSGQlROjmmf30oxl9tXFPjd5YU6I31hRrb02jBqRE+dutKqhUo9en8X16ycUKBwAAmyLEAkHG4XBoaHqshqbH6s5zB2nTnhqlxYb7r//5o+1atLVciVEenTc8VReMTGfJLgCA7RBigSDmcjo0LCPWf2wYhrLiwxUb7lbFgUb9c1mB/rmsQKkxYTp/RJouGJmuUVlx1hUMAEAHscQW0IM4HA498M3hWnHP2XrmhnG6ZEyGoj0hKq1p0D8+26XfvrfJ6hIBAOgQRmKBHig0xKmZg5I1c1CyGrwtWrS1XG9/tUfTjnj4q7y2UVc9uUznDE3VecPTNDQ9Rg4HUw4AAN0DIRbo4cLcLs0emqrZQ1PbnH9v/R7tKK/T3z7dob99ukOZ8eE6b3iazh2WqlGZccyhBQBYihAL4KguGZOp2HC33l9fqk+2lGl31UE9uWinnly0U2mxYXr82rHMnwUAWIYQC+CoojwhumhUhi4alaH6pmYt3FKu99aX6qNNe1Ve26icXhH+tp9tq5AkTeiT0GYrXAAAugohFsAJRYSGaM7wNM0ZnqYGb4s2lFQrLiLUf/2RBVv0ZeF+xUe4NWtIiuYMT9PkvokKDSHQAgC6BiEWwEkJc7s0tneC/7jFZ2hgaozy99Wrsq5JL6/crZdX7lZ0WIjOHpyi84en6ewhKRZWDAAIRoRYAKfF5XTooUuG69cXDdXy/Eq9t65U728oVXlto15bXaz6puY2IbaqrknxkaHH+YwAAJwYIRZApwhxOTWpb6Im9U3U/RcO1arCKn2woVTjclpHbXeWH9BZjyxUXu94zR6SqtlDU9S7V6SFVQMA7IoQC6DTOZ0OjctJaBNgJWllQZUMQ1qRX6UV+VV64N1NGpgSrdlDUzR7SKqGZbAWLQCgYwixAALmirwsTe6XqA837tUHG0v1+c5Kbdlbqy17a/WXj7frH9fn6azBzJ8FAJwYIRZAQGXEhev6STm6flKOquu9+njLXn2wYa+W76rUpL6J/nZPLtqhTXtqNWtIiqb2T1R0mNvCqgEA3Q0hFoBlYiPc+uboTH1zdKaaW3xt1ph99ctibS6t1Wuri+V2OTShTy+dOShZZw9OUVZCxHE+KwCgJ7DFIo75+fn67ne/q9zcXIWHh6tv376677771NTUZHVpADrJ1zdJ+PXFw/S9qbnKTYyUt8XQ4m0Vuv+tjZr6u0905RPLLKoSANBd2GIkdvPmzfL5fHriiSfUr18/rV+/Xt/73vdUV1enP/zhD1aXB6ALHH4w7J7zh2hn+QF9tKlMH23eqxX5VcqID/e3MwxDc9/coHG5CZo2IEkxTDsAgB7BFiH23HPP1bnnnus/7tOnj7Zs2aLHH3+cEAv0AH2SotQnKUrfm9ZH1fVe1TU1+69tKKnRs8sK9OyyAoU4HRrfJ0FnDUrRWYOTlR7DerQAEKxsEWKPprq6WgkJCSduCCCoxEa4FRvROtoaG+7W96f10Yeb9mpneZ2WbN+nJdv36Vdvb1TfpEidmeDQeRbWCwDoGrYMsTt27NBf/vIX/fGPfzxuu8bGRjU2NvqPa2pqJEler1der7dLazx8nyPfwn7ow+4vNdqtO2b10x2z+il/X50+2VKhjzeXaWXBfu0or9O5Sa39t2mPuZzX1P6J6sWuYbbA76D90Yf2F+g+7Oh9HIZhGF1cyzHNnTtX999//3HbrFixQnl5ef7jkpISTZ8+XdOnT9dTTz11Sp9//vz5iojg6WYgmNU3S5v3OzQywdDhZ8Ze3eXUwlKnHDKUFSkNiTc0OM6n7CjJyR4LANAt1NfX65prrlF1dbViYmKO2c7SEFtRUaGKiorjtsnJyVFYWJgkM8DOnDlT48eP17x58+R0Hn9xhaONxGZlZamiouK435TO4vV6tWDBAs2aNUtuNw+b2BF9aG9f779/fl6oV74s1sY9tW3axUe4NbVfon514WBFemz5H1RBi99B+6MP7S/QfVhTU6PExMQThlhL/7ROTExUYmLiiRtKKi4u1syZMzV27Fg988wzJwywkuTxeOTxeNqdd7vdAf1FCvT90PnoQ3s73H/fndpX353aV3trGrRwS7k+3VqmxVsrVFXv1cqCKsVGhvm3vX1//R6lx4VrWHqsnAzTWo7fQfujD+0vUH3Y0XvYYsihpKREM2bMUHZ2tv7whz+ovLzcfy01NdXCygDYUUpMmK4Yl6UrxmXJ2+LTlwVVqqpv8gfYFp+hu15dp/31XiVGhWragCTNHJisaf2T2jxUBgCwji1C7AcffKDt27dr+/btyszMbHPNwtkQAIKA2+XU+D692pyrPujV+NwEfbatQhUHmvTql8V69ctiOR3SmOx4XXVGti4bm3mMzwgACARb7Nh1ww03yDCMo74AoLMlRIbqievytPre2Zr/vfH6/rQ+GpASJZ8hrSyoUsG+On/b2gav/rNqt8pqGiysGAB6HluMxAKAFUJDnJrUN1GT+ibq7vMGq3j/QX26pUxn5LSuUb1sxz797N9rJUmDUqM1fUCSpvZPUl5OvMLcLqtKB4CgR4gFgA7KiAvXt8b3bnPO4XBoeEas1hVXa3NprTaX1uqJRTsV5nZqfG4v3TVnkAandf1qKADQ0xBiAeA0zBqSollDUrTvQKM+216hRVsrtHhbucpqG7Vwa7l+ddFQf9tlO/ZpX12jJvdNVDybLQDAaSHEAkAn6BXl0UWjMnTRqAwZhqEte2u1Mr9KvXtF+ts8s2SXPti4Vw6HNCIzTtP6J2ragCSNyoqT22WLRxQAoNsgxAJAJ3M4HBqUGqNBqW2nEQxOi1HBvnpt2VurtUX7tbZov/7y8XZFe0I0dUCiHrt6DGvSAkAHEWIBIEBumzVAt80aoNLqBi3aVq7F2yr02bZyVdV7VV7b2CbAPvrRNuUkRmpS315KjGq/aQsA9HSEWAAIsNTYMF2Rl6Ur8rLU4jO0oaRaDV6f/3p1vVf/++FWHV5FcFBqtKb0S9Tk/ok6IyeBrXEBQIRYALCUy+nQiMy4NueaWnz63tQ++mxbhTbuqfGvevDUZ7sU4nTo5pn9dNusAdYUDADdBCEWALqZpGiP7j5vsCRp34FGLd2xT0t3VGjxtgrtrjqotNgwf9sd5Qf04DubNLlfoib3S9SAlCj/9rkAEMwIsQDQjfWK8uiCkem6YGS6JKlwX71iw93+64u3luujzWX6aHOZJDMAT+7byx9q0+PCLakbALoaIRYAbCS7V0Sb4+kDk/WLZp8+216h5bsqVV7bqNfXlOj1NSWSpPnfG69JfRMlST6fweoHAIIGIRYAbCw3MVI/mN5XP5jeVw3eFn1ZWKUl2yu0ZPs+bdpTo1FZcf62D/93sxZuKdeEPr00sW8vTcjtpdgI97E/OQB0Y4RYAAgSYW6XJvVN1KS+ibrjHKm+qVkRoa1/zC/bsc//kNi8pflyOKQhaTGa1NcMtdMHJMvFSC0AmyDEAkCQOjLAStIzN4zTF7sqtezQg2I7yuu0oaRGG0pq9NrqEq245yx/282lNcpOiGj3OQCgu+BPJwDoIXpFeXTe8DSdNzxNklRW06BlO/dp2Y59ig4L8a9qYBiGrn1quaoPNmlUVpwm9umliX0TNTo7TmFul5VfAgD4EWIBoIdKjgnTRaMydNGojDbnyw80KtTlkLfF0Ir8Kq3Ir9KjH29XaIhTY7PjdcmYDF2el2VR1QBgIsQCANpIjg7TkrvOVGFlvZbt2KdlO/dp6Y59Kq9t1LKd+zQiM9bf9kBjs575bJfG9+mlkVmx8oQwUgsgMAixAIB2HA6HeveKVO9ekbrqjGwZhqEd5XVatnOfRh+x4sGqgir9ccFWSVJoiFOjs+I0vk8vTchN0OjseIWHEmoBdA1CLADghBwOh/olR6lfclSb89FhITp/RJq+2FmpigON+mJXpb7YValHJbldDv35qtH+ObgA0JkIsQCAUzYmO15jromXYRjaWVGnL3ZW6otd+/TFzkqV1jS0Cb0vryjSC8sLNSE3QeP7JCgvJ0ExYaxTC+DUEGIBAKfN4XCob1KU+iZF6Zrx5vSDwsp6ZcW37jC2ZEeF1hbt19qi/Xpi0U45HdKQ9BiNz+2l8bkJmjYgidUPAHSY0+oCAADB5/Cc2iO3ub3z3EF65IqRujIvSzm9IuQzpPXFNfrHZ7t00/Or1NTi87fdurdWFQcarSgdgE0wEgsACIj0uHBdMiZTl4zJlCSVVjeYUw92Vaq63ttmasEvXl2nVQVV6pMYoWSnUw2rizWxb7KyEsL969kC6NkIsQAAS6TGHn2dWp/PUFOzOSq7s6JeO+XU569ukLRBKTEezRqSot9cPNyCigF0J4RYAEC34nQ69NaPp6i63qvPd5br5Y9XqdIVr/UlNdpb06iymtZpBoZh6NaX1mhASrTyesdrZBa7igE9BSEWANAtxUa4debAJDXs8Om888arRU6tKdqv0JDWxzmKKg/qjTUl/uNQl1MjMmOVl5OgM3LjNbZ3gmLDWQEBCEY82AUAsIUwt0sT+vTSmOx4/7mosBDdd8EQnT88TUnRHjW1+LSyoEp/X7hD35m3Uo9+tM3ftrG5RXuqD1pROoAuwEgsAMC2EiJDdePkXN04OVeGYahgX71W5FceelXpjNwEf9tV+VW65qkvlBkfrnE5CYde8eqbFNVmFQUA9kCIBQAEBYfDoZzESOUkRuryvCxJ5pzZw3ZW1MnpkHZXHdTuqmK9trpYkhQX4daY7HjddvYADc+MtaR2ACePEAsACFpHLsd17YTeunh0hlYXVmnFLnOkdnVRlfbXe/Xx5jLdPmuAv+2HG/dq6Y59Gts7Xnk58UqJCbOifADHQYgFAPQYUZ4QTe2fpKn9kyRJ3hafNpbUaFVBlQalRvvbvb+hVP9ZtVtPL9klScqIC1deTrzG9o7XmOx4DU6LkYspCIClCLEAgB7L7XJqZFacRmbFtTl//vA0RYS6tKqgSpv21Kh4/0EVr2ldCWHNvbMUFxEqScqvqFNCVGibzRoAdD1CLAAAXzNzULJmDkqWJB1obNbaov1amV+lVYVVOtDg9QdYSbrzla+0PL9SA1OiNbZ3vP+VnRDB7mJAFyLEAgBwHFGeEE3ul6jJ/RLbXTMMQ9UHvTIMaXNprTaX1uqFLwolSYlRHp01KFkPXzYi0CUDPQIhFgCAU+RwOPT+rdNUVtugLwuqtOrQa11xtSoONKriQGOb9t//50plJ0RoTO94jc6OU1psuEWVA/ZHiAUA4DQlR4fp3GFpOndYmiSpwdui9cXVbdaf3VN9UB9s3GsefGY+MJYWG6bR2XEanRWvyf0SNSQ9JuC1A3bFjl0AAHSyMLdLeTkJbXcX84Toj5eP1LUTsjUkLUZOh7SnukHvrivVA+9u0ssri/xtDza16I01xSqqrG+z1i2AVozEAgAQANFhbl06NlOXjs2UJNU1NmtdcbW+LKzS6sL9bebcfrV7v3764hpJ5tza0dlxGpNtTkEYkRmriFD++gb4LQAAwAKRnhBN6NNLE/r0anfN22JoZGasNpTUqOJAoxZs3KsFh6YiuJwO/eHyEfrmaDMMN7f45HI6WAkBPQ4hFgCAbmZK/0RN6T/FP7d2deF+fVlYpS8Lq7S3plG5iVH+tq+tLtZD723W6Kw4/4jtiKw4RXn4Kx7BjZ9wAAC6qcNza/NyEvznSvYfVFK0x3+8pmi/Kuua9NHmMn20uUyS5HRIA1KiNTo7Tj85qz+rICAoEWIBALCR9Li2gfTeC4bosrGZ/tHa1YX7Vbz/oH/d2p/NHuhv+/LKIu0oP6BRmXEalR2n1JgwpiHAtgixAADYmCfEpdHZ8RqdHa/vKFeSVFbToC8L92tH+QH1imodtX1rbYkWb6vwHydHezTq0La7o7PiNL5PL7mchFrYAyEWAIAgkxwTpnOHpbY7f3lelrISIrS2aL82l9aqrLZRH2zcqw827lV0WIjW3jvb33bxtnLFR4RqYGq03C5W5ET3Q4gFAKCHuHBkui4cmS7JXIt2Q0m11hTt15qi/fKEuNpsznD3a+tUVHlQnhCnhmXEauShKQijMuOUlRDONARYjhALAEAPFB7a/qGxwxqbW5TTK1LV9V7VNDT7t9PVEvP6pL69NP97E/ztDzQ2sxoCAo6fOAAA0IYnxKXnvjtePp+hXfvqtPbQaO3aov3auKdGuYmR/rYN3haN+dUCZcSHa2RmrEZlxWlEVpyGpMUozO2y8KtAsCPEAgCAo3I6HeqbFKW+SVG6ZIy5uUKDt0UHm1r8bbaXHVBTi0+7Kuq0q6JOr68pkSSFOB0akBKtq8dlKsaS6hHsCLEAAKDDwtyuNiOswzJitfqXs7R2936tLarW2t379dXu/ao40KSNe2pU2+j1h9iCfXX66YtrNCIzViMy4zQyM1Z9kqJYEQGnhBALAABOS3xkqGYMTNaMgcmSJMMwtKe6QV/t3q9+iRHa8MUmSfI/RLamaL+kAklSZKhLQzNiNTIzVt8cnakh6YzbomMIsQAAoFM5HA6lx4UrPS5cXq9XGw6dn9i3l/581Sh9tbtaX+3er/XFNapratHyXZVavqtSY3vH+0Ps2qL9+mBj6aER2zilxoZZ9wWhWyLEAgCAgEiODtNFozJ00agMSVJzi087yuv8UxBGZ8f72y7cWq6/frLjiI/1+KchjMiM1bicBEWyIkKPRu8DAABLhLicGpgarYGp0boiL6vNtRGZsboiL1Nf7a7W1r3mxgwfbirTh5vKJEnv/XSqBqeZo7bri6tV0+DV8IxYRYe5A/51wBqEWAAA0O0cOcf28MYMh6chbC6tVf/kKH/bp5fs0qtfFsvhkHJ7RWpYRqyGZ8RqWEashmbEKIZgG5QIsQAAoFs73sYMktQrMlQZceEq3n9QOyvqtLOiTm+uNZf6cjkdWj/3HIWHmisq5FfUKSEqlGAbBAixAADA1u45f4juOX+I9h1o1PqSGq0vrta63dVaV1yt8FCXP8BK0s/+vVYrC6qU0ytCww6N1g7PiNWw9FjFRhBs7cQ2IfbCCy/UmjVrVFZWpvj4eJ199tl6+OGHlZ6ebnVpAACgG+gV5dH0AUmaPiDJf+7IjRkMw1BtQ7MkKX9fvfL31evtr/b4r4/Lide/b5rU5mOPDMDoXmwTYmfOnKm7775baWlpKi4u1s9+9jNddtllWrp0qdWlAQCAburIEOpwOPTf26apqq5J60vMkdr1xebbosqDig1vHYk1DENTf/eJwtxO//za4Yde8ZGhVnwp+BrbhNjbbrvN/37v3r1111136eKLL5bX65XbzfA/AADomPjIUE3tn6Sp/VtHbPfXN/lHaSWp/ECjKg40SpJ2Vx3Ue+tL/dcy4sJ16ZgM3T57YOCKRju2CbFHqqys1AsvvKBJkyYdN8A2NjaqsbHRf1xTUyNJ8nq98nq9XV7n4XsE4l7oGvShvdF/9kcf2p9d+jDS7VCk2+2vMz7MpVV3z9SGPTVaX1KjDcW1Wl9So4LKehXvP6iag03+trUNzbrwr0s1OC1Gw9JjNCwjRkPSopUY5bHyS+o0ge7Djt7HYRiG0cW1dJo777xTjz32mOrr6zVhwgS9/fbb6tWr1zHbz507V/fff3+78/Pnz1dERERXlgoAAIJQfbNUXOdQtNtQ6qEosb1a+svG9uOCMW5DmZGGJqYYGpFgm7hlufr6el1zzTWqrq5WTMyxtyG2NMQeK2QeacWKFcrLy5MkVVRUqLKyUgUFBbr//vsVGxurt99+Ww6H46gfe7SR2KysLFVUVBz3m9JZvF6vFixYoFmzZjHlwaboQ3uj/+yPPrS/ntCH9U3NWldcow0lh0ZtS2q1a1+dDies+74xSNeOz5Ykbd1bq1+/s1lD0szR2iHpMeqTGCmX8+hZpjsIdB/W1NQoMTHxhCHW0ukEt9xyi6666qrjtsnJyfG/n5iYqMTERA0YMECDBw9WVlaWPv/8c02cOPGoH+vxeOTxtB/Kd7vdAf1FCvT90PnoQ3uj/+yPPrS/YO7DWLdbUwaEa8qAFP+5usZmbS41g+3U/kn+r33Dnjp9vqtKn++q8rcNczs1KDVGQ9NjdM34bA1Njw3419ARgerDjt7D0hB7OJSeisMDyEeOtAIAAHQHkZ4Qje2doLG9227QMKlfL/3u0hHaUFKtDSU12rinRvVNLVpTtF9rivZr9tBUf9vPtlXo1dW7NTQ9VsPSYzQkPYZtdY9giwe7li9fruXLl2vKlCmKj4/Xzp07de+996pv377HHIUFAADobjLjI3TFuAhJWZIkn89Q/r66Q1MRqjU8o3UUdumOCr36ZbFe/bLYf653rwgNTY/R0PRYXZ6XqeTosEB/Cd2GLUJseHi4Xn31Vd13332qq6tTWlqazj33XL344otHnS4AAABgB06nQ32SotQnKUoXjGy7gdPZQ1LkCXFpfUm1NpbUqHj/QRXsq1fBvnq9u65U3xiR5m/77ro92rSnxh9wM+PDj/nMULCwRYgdPny4Pv74Y6vLAAAACJgx2fEakx3vP66qa9KGkhptKKnW1r0HlBXfutLSO1/t0TvrWncfiwkL0ZBDgXZoeozOG56mMHdw7T5mixALAADQ08VHhmpK/0RN6d/+eaLZQ1MU5QnR+pJqbd1bq5qGZn2+s1Kf76xUqMupb4xoHeX998oi1Te1aEh6jAalRtt2ni0hFgAAwOYuGpWhi0ZlSJKamn3aVlZrPjhWUqP6pmaFhjj9bectzdeGkhr/ce9eEYeW/IrRsIxYzRyUHPD6TwUhFgAAIIiEhjgPTSM4+lJd5w5NVWpMmDbuqdGe6gb/PNv31pcqNzGyTYh9dmm+0mNDA1X6SSHEAgAA9CA/Pqu///3KuiZt2mOO2G7cU6Ok6NYH5g3D0B/+u0VnDkrSmd1wo1NCLAAAQA+VEBmqyf0SNblf+3m2DV6fLhmTodFZsVJRkQXVHR8hFgAAAO2Eh7p0/0XD5PV69W73y7BynrgJAAAA0L0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBQAAgO0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBQAAgO0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBQAAgO0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBQAAgO0QYgEAAGA7IVYXEEiGYUiSampqAnI/r9er+vp61dTUyO12B+Se6Fz0ob3Rf/ZHH9offWh/ge7DwzntcG47lh4VYmtrayVJWVlZFlcCAACA46mtrVVsbOwxrzuME8XcIOLz+VRSUqLo6Gg5HI4uv19NTY2ysrJUVFSkmJiYLr8fOh99aG/0n/3Rh/ZHH9pfoPvQMAzV1tYqPT1dTuexZ772qJFYp9OpzMzMgN83JiaGX1ybow/tjf6zP/rQ/uhD+wtkHx5vBPYwHuwCAACA7RBiAQAAYDuE2C7k8Xh03333yePxWF0KThF9aG/0n/3Rh/ZHH9pfd+3DHvVgFwAAAIIDI7EAAACwHUIsAAAAbIcQCwAAANshxAIAAMB2CLFd5G9/+5tyc3MVFhamsWPHavHixVaXhA566KGHNG7cOEVHRys5OVkXX3yxtmzZYnVZOA0PPfSQHA6Hbr31VqtLwUkoLi7Wtddeq169eikiIkKjRo3SqlWrrC4LHdDc3Kz/9//+n3JzcxUeHq4+ffroV7/6lXw+n9Wl4RgWLVqkCy64QOnp6XI4HHr99dfbXDcMQ3PnzlV6errCw8M1Y8YMbdiwwZpiDyHEdoGXXnpJt956q+655x6tXr1aU6dO1Zw5c1RYWGh1aeiAhQsX6uabb9bnn3+uBQsWqLm5WbNnz1ZdXZ3VpeEUrFixQk8++aRGjBhhdSk4CVVVVZo8ebLcbrfee+89bdy4UX/84x8VFxdndWnogIcfflh///vf9dhjj2nTpk363e9+p9///vf6y1/+YnVpOIa6ujqNHDlSjz322FGv/+53v9Mjjzyixx57TCtWrFBqaqpmzZql2traAFfaiiW2usD48eM1ZswYPf744/5zgwcP1sUXX6yHHnrIwspwKsrLy5WcnKyFCxdq2rRpVpeDk3DgwAGNGTNGf/vb3/Sb3/xGo0aN0p/+9Cery0IH3HXXXVqyZAn/i2VT3/jGN5SSkqJ//OMf/nOXXnqpIiIi9Nxzz1lYGTrC4XDotdde08UXXyzJHIVNT0/XrbfeqjvvvFOS1NjYqJSUFD388MP6wQ9+YEmdjMR2sqamJq1atUqzZ89uc3727NlaunSpRVXhdFRXV0uSEhISLK4EJ+vmm2/W+eefr7PPPtvqUnCS3nzzTeXl5enyyy9XcnKyRo8erf/7v/+zuix00JQpU/TRRx9p69atkqS1a9fqs88+03nnnWdxZTgVu3btUmlpaZts4/F4NH36dEuzTYhldw5SFRUVamlpUUpKSpvzKSkpKi0ttagqnCrDMHT77bdrypQpGjZsmNXl4CS8+OKL+vLLL7VixQqrS8Ep2Llzpx5//HHdfvvtuvvuu7V8+XL95Cc/kcfj0be//W2ry8MJ3HnnnaqurtagQYPkcrnU0tKiBx54QFdffbXVpeEUHM4vR8s2BQUFVpQkiRDbZRwOR5tjwzDanUP3d8stt+irr77SZ599ZnUpOAlFRUX66U9/qg8++EBhYWFWl4NT4PP5lJeXpwcffFCSNHr0aG3YsEGPP/44IdYGXnrpJT3//POaP3++hg4dqjVr1ujWW29Venq6rr/+eqvLwynqbtmGENvJEhMT5XK52o26lpWVtfsXDLq3H//4x3rzzTe1aNEiZWZmWl0OTsKqVatUVlamsWPH+s+1tLRo0aJFeuyxx9TY2CiXy2VhhTiRtLQ0DRkypM25wYMH65VXXrGoIpyMO+64Q3fddZeuuuoqSdLw4cNVUFCghx56iBBrQ6mpqZLMEdm0tDT/eauzDXNiO1loaKjGjh2rBQsWtDm/YMECTZo0yaKqcDIMw9Att9yiV199VR9//LFyc3OtLgkn6ayzztK6deu0Zs0a/ysvL0/f+ta3tGbNGgKsDUyePLnd0nZbt25V7969LaoIJ6O+vl5OZ9uI4XK5WGLLpnJzc5Wamtom2zQ1NWnhwoWWZhtGYrvA7bffruuuu055eXmaOHGinnzySRUWFuqmm26yujR0wM0336z58+frjTfeUHR0tH9UPTY2VuHh4RZXh46Ijo5uN4c5MjJSvXr1Ym6zTdx2222aNGmSHnzwQV1xxRVavny5nnzyST355JNWl4YOuOCCC/TAAw8oOztbQ4cO1erVq/XII4/oO9/5jtWl4RgOHDig7du3+4937dqlNWvWKCEhQdnZ2br11lv14IMPqn///urfv78efPBBRURE6JprrrGuaANd4q9//avRu3dvIzQ01BgzZoyxcOFCq0tCB0k66uuZZ56xujSchunTpxs//elPrS4DJ+Gtt94yhg0bZng8HmPQoEHGk08+aXVJ6KCamhrjpz/9qZGdnW2EhYUZffr0Me655x6jsbHR6tJwDJ988slR/+67/vrrDcMwDJ/PZ9x3331Gamqq4fF4jGnTphnr1q2ztGbWiQUAAIDtMCcWAAAAtkOIBQAAgO0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBQAAgO0QYgEAAGA7hFgAAADYDiEWAAAAtkOIBYAg0dTUZHUJABAwIVYXAAA4NTNmzNCwYcMUGhqqf/7znxo6dKgWLlxodVkAEBCEWACwsWeffVY//OEPtWTJEhmGYXU5ABAwDoM/9QDAlmbMmKHq6mqtXr3a6lIAIOCYEwsANpaXl2d1CQBgCUIsANhYZGSk1SUAgCUIsQAAALAdQiwAAABshxALAAAA22F1AgAAANgOI7EAAACwHUIsAAAAbIcQCwAAANshxAIAAMB2CLEAAACwHUIsAAAAbIcQCwAAANshxAIAAMB2CLEAAACwHUIsAAAAbIcQCwAAANshxAIAAMB2/n+TK+pMbNV7tAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r = np.linspace(0, 10, 400)\n",
    "\n",
    "y1 = -np.sqrt(r)\n",
    "y2 = np.sqrt(r)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r, y1, label='-√(r)', linestyle='--')  # Normal linestyle\n",
    "plt.plot(r, y2, label='√(r)', linestyle='-')  # Dashed linestyle\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## it's a saddlenode bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11f6a587-7e9f-469e-9f72-53a24ee27898",
   "metadata": {},
   "source": [
    "### B) $\\frac{dx}{dt} = rx - x^2$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bb59ab4c-456e-42e9-8b5d-0ec68232924b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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kJV5OGKv0cIm88Ke0hFyrZeWGmH+uT1riJXMKAm+gG1tbpSXwEO892ijy6tIZl4ivR2ku5lXYaUkszctyUDIn5cQl0Ij+kRGEs/JUPE8YU3PJcvpZMk+iFZfIZjB1mYel8CBGcQkhUMXuTczEDnxMXAJ5GWi66MfkqxOXcHUKVc4uucnLk5ZYMbwlKCxZtRD6KixZ30rqq7BktZLYV2HJ2irObYUlay80OKzCkrXXBP0KLFk6mexXWck6JoS/ykrWMST9VVayjjnxr7KS1UfIfycrWXyKAHiyksUHhQArK1l8ll+erMT6eOUp7IQldk5UImCFJXYKVeGpCkvMhKvkpspK7PSs5L8TltjZXAUACyyxk7+S/05YYmNFJf9VWGJDSyX+nbDERqIaBQ0I5zGBq5L+Tlhi41wl/p2wxMbFSvyrsGSJo1X4r8CSJe5W8l+FJUucrgTACkuWuF7lQovAkmUdqCTAE5bYdaOSAE9YYteZSgQ8YYldl6ogYIUldh2rRMATlth1j/vNNGGJWSa5Ww2TldhVtRIBT1ZiV+FKBDxZiV21KxHwhCV2la+CgAWWLFlBJQNWXLJkEUhCmEeRl9iko5IBKy+xKUolAlZeYhOaSgKsvMSmP5UA+D5e8rwjZkneLDDZbgCT46R+Pw+3Of0zjXoCMnn45OZZyOSQAxwf70PpXUDw8RgQ4NlHE4b1WYNN7tP8ADbhioqdiOx2HgtO/GO5CeaV89etQlbCG5Nrs4zQmG++f0RODtQ/m5xg0rl8t1ZlYN1t17Uqg3fO79SqUDoOalXQu25c16pg9Tu/zlx8X6T7LflFfLlSv+i9XL83ViyX9Y3N5ma/ad5eBGC6whYMYO1iNK3ro5gqd2pVBm+sHNSqILNi6LqqVaH0oHX+uCv8Yb9ZxZcu3q24Go+LzcvonVtnx/nAJ94du4rhJk92y0NugjyON4My12TrkANLr9xfsoay/AYZS12KIChFOnjV+sG1qVa5kHaprfDcu+jLbB3GIjZVG4t8HzKreh/eacXqCbvB1m/2thkX2/th8UZkiOjQXJZHsd1ETlHbqhURDhlfitc2YCEdnveVFnOPm3bYEYt490ar+OKNuxVX43GxeRm6c+vsIB84xGPhUWcJ2zU8MsJbJ8qNw/KZ4BH2bghQ1/DISm/W2BQ55fks8MhGUVsbtEtvWc4gFZ8PjwYy3HAHHlnpzZcjtx6fBI/Y4VjOr+iRld6s00Fix8u9n8qP2In50/jRHsvNCWQr2OY8zI/Inf//y1V2i5d6ld3mBwpWmlTrfZZ6FWO6LVgxpt+uWBHTP0/Bym76cp1/N/2BkhWa/pkqVky6Yu667Zbfrllp2PK3FypaabGzHOA3JPMwknlyjvlCSKbJDLxGMq0NXphhcmPvcLYeMWiCZOyNz9YLgyKRjL0f2npDXBIkY2+TNt44VSRj7542wYBCZMxFVaYqfvIYe6210TUnjzG3YDtvGE8cYy/NMjFKE8fYS7adWeXEMfZSbsdWo08eYy/xwmFdnTzGXvrtLJuYPMZeEu68gzR5jL1UDLOwICuPsZeQMUwcLvKY5dIyfsDLhMcsl5yRwSH/FR6zXIruvPetPGa5RN15qKg8Zrl03el0k8fYS9poBtZZ5TH2Ujf8xHnlMfYOOOxybfIYe2W85+6K8hh7w5zZXJo8xl5I77wmojzG3l/vPHCdPMZed++8r6U8xlyOx1RwaeIYe5UeuTk8V3iMvXnf4dB98hh7Ub837+rkMeZef29I+yaOsWUA+NuFiWNs2UDHqI2JY2yZQe/obcUxS1lC77wLKDhmKWPoPBdXHLOUPWB43VAcs5RJdNZkKI5Zyio69h5FecxShtG5ZVEes5RtINY6rzxmKfMYHn2lPGYpCxmsgVIes5SRcA+flMcsZSfcrftz+YopU+F5Rj+Xr5iyFp6VlElkbBnMIGGeRMaWzQz5XzEokbFlNoOQeRIZW5YzeMp+JjKmjAeO4NJOZM5VP0Mw8wQypkhoEDNPImNqigYp8wQytgRpkDJPIGNLlgYp8wQytsRpkDIrkFlKogYpswKZpYRqCGYWIGPPbwcps/KYpUBrMPYrj1kKugYps/CYpf6Lu4yiPGYpF4OFLgqQWarLBhmzApmlGG1I4COQWWrXBqeBApml1G0QMQuQWSrjBgmzApmlkG6QMAuQWeruBgGzApmlTG+QMCuQWcr6uMsPCmSWMsAhiFmAzFI2OLjBVyCzlhnKycskMrYs0cvtGSUySxmjJ2ZWJLPWPXqCZmUyV4WSRBkKZa4qK4U1C5W5KsUkbFYss5Ruyj6uKZdZSj1lI1iUzCylofgFT2IEzSylpPhFp41kM0vpafAkzgpnllJV/ILIWejMUtqKX1SXFM/YSljIB3Mq4hlbNwu3QIRUPrOU2eIX2VUlNEtZLn7RqFb+zzG2jBc5CTIvpTTrhuCZJ4dP5zTH2b45fr9b2vLJueYNUPPwKcmzQM0heDimCVB6QCQ+3kMkiHUeDTXWhw2ruVf3A7CGy216IqxZily+Pf0fCT+WtwplbmRzdHJlYW0KZW5kb2JqCjEyIDAgb2JqCjUyNTcKZW5kb2JqCjEwIDAgb2JqClsgXQplbmRvYmoKMTcgMCBvYmoKPDwgL0xlbmd0aCA4MyAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw9zbENwDAIBMCeKX6EgMHAPlGUwtm/DbFEGv6E0GNuOCBew8LhkjiZeObmQ71cZM6YOktiv46EDi5pRisEQ6PEOVryfal739H1i266XmFdGUQKZW5kc3RyZWFtCmVuZG9iagoxOCAwIG9iago8PCAvTGVuZ3RoIDk1IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nD2MQQ7AIAgE77xiP9AEERX/0zQ92P9fu0bbC0x2YUo3KA4rnFUVxRvOJB8+kr3DWseQoplHQ5zd3BYOS40Uq1gWFp5hEaS0Ncz4vChrYEop6mln9b+75XoB/58cLAplbmRzdHJlYW0KZW5kb2JqCjE1IDAgb2JqCjw8IC9UeXBlIC9Gb250IC9CYXNlRm9udCAvR0NXWERWK0RlamFWdVNhbnMtT2JsaXF1ZSAvRmlyc3RDaGFyIDAKL0xhc3RDaGFyIDI1NSAvRm9udERlc2NyaXB0b3IgMTQgMCBSIC9TdWJ0eXBlIC9UeXBlMwovTmFtZSAvR0NXWERWK0RlamFWdVNhbnMtT2JsaXF1ZSAvRm9udEJCb3ggWyAtMTAxNiAtMzUxIDE2NjAgMTA2OCBdCi9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdIC9DaGFyUHJvY3MgMTYgMCBSCi9FbmNvZGluZyA8PCAvVHlwZSAvRW5jb2RpbmcgL0RpZmZlcmVuY2VzIFsgNzAgL0YgMTIwIC94IF0gPj4KL1dpZHRocyAxMyAwIFIgPj4KZW5kb2JqCjE0IDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3JpcHRvciAvRm9udE5hbWUgL0dDV1hEVitEZWphVnVTYW5zLU9ibGlxdWUgL0ZsYWdzIDk2Ci9Gb250QkJveCBbIC0xMDE2IC0zNTEgMTY2MCAxMDY4IF0gL0FzY2VudCA5MjkgL0Rlc2NlbnQgLTIzNiAvQ2FwSGVpZ2h0IDAKL1hIZWlnaHQgMCAvSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvTWF4V2lkdGggMTM1MCA+PgplbmRvYmoKMTMgMCBvYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5MCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2CjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMyIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUgNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2MzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYzNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4IDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM1MCA2MzUgNDAwIDEwNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAgNTIxIDQwMCAxMDI4IDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAgNTAwIDEwMDAgNDcxIDYxNyA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2IDYzNiAzMTggNTAwCjQwMSA0NzEgNjE3IDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQgNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3ODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDgKNjMwIDYxMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk5NSA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4IDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQgNTkyIDYzNSA1OTIgXQplbmRvYmoKMTYgMCBvYmoKPDwgL0YgMTcgMCBSIC94IDE4IDAgUiA+PgplbmRvYmoKMjMgMCBvYmoKPDwgL0xlbmd0aCA3NCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJyzMLZQMFAwNDBTMDQ3UjA3NlIwMTVRSDHkAgmBmLlcMMEcMMsYqCwHLItgQWQzwGwjU1OoHhALoscQrhLBgshmcKUBAFG+GRYKZW5kc3RyZWFtCmVuZG9iagoyNCAwIG9iago8PCAvTGVuZ3RoIDI0OSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJxNUUmKAzAMu+cV+kAhXpO8p0OZQ+f/18oOhTkECa+Sk5aYWAsPMYQfLD34kSFzN/0bfqLZu1l6ksnZ/5jnIlNR+FKoLmJCXYgbz6ER8D2haxJZsb3xOSyjmXO+Bx+FuAQzoQFjfUkyuajmlSETTgx1HA5apMK4a2LD4lrRPI3cbvtGZmUmhA2PZELcGICIIOsCshgslDY2EzJZzgPtDckNWmDXqRtRi4IrlNYJdKJWxKrM4LPm1nY3Qy3y4Kh98fpoVpdghdFL9Vh4X4U+mKmZdu6SQnrhTTsizB4KpDI7LSu1e8TqboH6P8tS8P3J9/gdrw/N/FycCmVuZHN0cmVhbQplbmRvYmoKMjUgMCBvYmoKPDwgL0xlbmd0aCA5NCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJxFjcERwCAIBP9UQQkKCtpPJpOH9v+NEDJ8YOcO7oQFC7Z5Rh8FlSZeFVgHSmPcUI9AveFyLcncBQ9wJ3/a0FScltN3aZFJVSncpBJ5/w5nJpCoedFjnfcLY/sjPAplbmRzdHJlYW0KZW5kb2JqCjI2IDAgb2JqCjw8IC9MZW5ndGggNTQgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMzYzVDBQMLFUMDI2UTA2NAJiE4UUQy6gCIiVywUTywGzQKpyuKDKc2CqcrgyuNIABRgOMgplbmRzdHJlYW0KZW5kb2JqCjI3IDAgb2JqCjw8IC9UeXBlIC9YT2JqZWN0IC9TdWJ0eXBlIC9Gb3JtIC9CQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvTGVuZ3RoIDM5Ci9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nOMyNDBTMDY1VcjlMjc2ArNywCwjcyMgCySLYEFkM7jSABXzCnwKZW5kc3RyZWFtCmVuZG9iagoyOCAwIG9iago8PCAvTGVuZ3RoIDgzIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nEWMuw3AMAhEe6ZgBH4m9j5RlMLevw0QJW64J909XB0JmSluM8NDBp4MLIZdcYH0ljALXEdQjp3so2HVvuoEjfWmUvPvD5Se7KzihusBAkIaZgplbmRzdHJlYW0KZW5kb2JqCjI5IDAgb2JqCjw8IC9MZW5ndGggMTUwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nD1POQ7DMAzb/Qp+IIB1WLbekyLokP5/reigHQQRoHjIsqNjBQ4xgUnHHImXtB/8NI1ALIOaI3pCxTAscDZJgYdBVklXPlucTCG1BV5I+NYUPBtNZIKex4gduJPJ6APvUluxdegB7RBVJF2zDGOxrbpwPWEENcV6Feb1MGOJkkefVUvrAQUT+NL5f+5u73Z9AWDFMF0KZW5kc3RyZWFtCmVuZG9iagozMCAwIG9iago8PCAvTGVuZ3RoIDE1MSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1j8sNwzAMQ++aggsE0M+yPE+KoId0/2slpwUMmDDJJ9kWg5GMQ0xg7Jhj4SVUT60+JCO3ukk5EKlQNwRPaEwMM5ykS+CV6b5lPLd4Oa3UBZ2QyN1ZbTREGc08hqOn7BVO+i9zk6iVGWUOyKxT3U7IyoIVmBfUct/PuK1yoRMetivDojvFiHKbGWn4/e+kN11f3Hgw1QplbmRzdHJlYW0KZW5kb2JqCjMxIDAgb2JqCjw8IC9MZW5ndGggMTYwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nEWQORIDMQgEc72CJ0hcgvesy7XB+v+pB9ZHoukCNBy6Fk3KehRoPumxRqG60GvoLEqSRMEWkh1Qp2OIOyhITEhjkki2HoMjmlizXZiZVCqzUuG0acXCv9la1chEjXCN/InpBlT8T+pclPBNg6+SMfoYVLw7g4xJ+F5F3Fox7f5EMLEZ9glvRSYFhImxqdm+z2CGzPcK1zjH8w1MgjfrCmVuZHN0cmVhbQplbmRvYmoKMzIgMCBvYmoKPDwgL0xlbmd0aCAxOCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJwzNrRQMIDDFEOuNAAd5gNSCmVuZHN0cmVhbQplbmRvYmoKMzMgMCBvYmoKPDwgL0xlbmd0aCAzNDAgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNVI5bgQxDOv9Cn0ggG7b79kgSJH8vw2p2RQDcXRSlDtaVHbLh4VUtex0+bSV2hI35HdlhcQJyasS7VKGSKi8ViHV75kyr7c1ZwTIUqXC5KTkccmCP8OlpwvH+baxr+XIHY8eWBUjoUTAMsXE6BqWzu6wZlt+lmnAj3iEnCvWLcdYBVIb3TjtiveheS2yBoi9mZaKCh1WiRZ+QfGgR4199hhUWCDR7RxJcIyJUJGAdoHaSAw5eyx2UR/0MygxE+jaG0XcQYElkpg5xbp09N/40LGg/tiMN786KulbWllj0j4b7ZTGLDLpelj0dPPWx4MLNO+i/OfVDBI0ZY2Sxget2jmGoplRVni3Q5MNzTHHIfMOnsMZCUr6PBS/jyUTHZTI3w4NoX9fHqOMnDbeAuaiP20VBw7is8NeuYEVShdrkvcBqUzogen/r/G1vtfXHx3tgMYKZW5kc3RyZWFtCmVuZG9iagozNCAwIG9iago8PCAvTGVuZ3RoIDI1MSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJwtUUlyA0EIu88r9IRmp99jlyuH5P/XCMoHBg2LQHRa4qCMnyAsV7zlkatow98zMYLfBYd+K9dtWORAVCBJY1A1oXbxevQe2HGYCcyT1rAMZqwP/Iwp3OjF4TEZZ7fXZdQQ7F2vPZlByaxcxCUTF0zVYSNnDj+ZMi60cz03IOdGWJdhkG5WGjMSjjSFSCGFqpukzgRBEoyuRo02chT7pS+PdIZVjagx7HMtbV/PTThr0OxYrPLklB5dcS4nFy+sHPT1NgMXUWms8kBIwP1uD/VzspPfeEvnzhbT43vNyfLCVGDFm9duQDbV4t+8iOP7jK/n5/n8A19gW4gKZW5kc3RyZWFtCmVuZG9iagozNSAwIG9iago8PCAvVHlwZSAvWE9iamVjdCAvU3VidHlwZSAvRm9ybSAvQkJveCBbIC0xMDIxIC00NjMgMTc5NCAxMjMzIF0gL0xlbmd0aCA1MAovRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJzj0jWyNFUwNzNQyOXSNTKAMHMgTDMTMzDTEoUJUZAB5JhYKphCNUKZIPE0AJQZECUKZW5kc3RyZWFtCmVuZG9iagozNiAwIG9iago8PCAvTGVuZ3RoIDIxNSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1UTkOAyEM7PcV/kAkjC94T6Iozf6/zYzRVh7BXIa0lCGZ8lKTqCHlUz56mS6cutzXzGo055a0LXOAuLa8L62SwIlmiIPBaZi4AZo8AUPX0ahRQxce0NSlUyiw3AQ+irduD91jtYGXtiHniSBiKBksQc2pRRMWbc8npDW/Xosb3pft3chTpcaWGIEGAVY4HNfo1/CVPU8m0XQVMtSrNcsYCRNFIjz5jqbVE+taNNIyEtTGEaxqA7w7/TBOAAATccsCZJ9KlLPkxG+x9LMGV/r+AZ9HVJYKZW5kc3RyZWFtCmVuZG9iagoyMSAwIG9iago8PCAvVHlwZSAvRm9udCAvQmFzZUZvbnQgL0JNUVFEVitEZWphVnVTYW5zIC9GaXJzdENoYXIgMCAvTGFzdENoYXIgMjU1Ci9Gb250RGVzY3JpcHRvciAyMCAwIFIgL1N1YnR5cGUgL1R5cGUzIC9OYW1lIC9CTVFRRFYrRGVqYVZ1U2FucwovRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdCi9DaGFyUHJvY3MgMjIgMCBSCi9FbmNvZGluZyA8PCAvVHlwZSAvRW5jb2RpbmcKL0RpZmZlcmVuY2VzIFsgMzIgL3NwYWNlIDQwIC9wYXJlbmxlZnQgL3BhcmVucmlnaHQgNDUgL2h5cGhlbiA0OCAvemVybyAvb25lIC90d28gL3RocmVlCi9mb3VyIC9maXZlIDYxIC9lcXVhbCAxMTQgL3IgXQo+PgovV2lkdGhzIDE5IDAgUiA+PgplbmRvYmoKMjAgMCBvYmoKPDwgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9Gb250TmFtZSAvQk1RUURWK0RlamFWdVNhbnMgL0ZsYWdzIDMyCi9Gb250QkJveCBbIC0xMDIxIC00NjMgMTc5NCAxMjMzIF0gL0FzY2VudCA5MjkgL0Rlc2NlbnQgLTIzNiAvQ2FwSGVpZ2h0IDAKL1hIZWlnaHQgMCAvSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvTWF4V2lkdGggMTM0MiA+PgplbmRvYmoKMTkgMCBvYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5MCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2CjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMyIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUgNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2MzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYzNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4IDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM0MiA2MzUgNDAwIDEwNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAgNTIxIDQwMCAxMDIzIDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAgNTAwIDEwMDAgNDcxIDYxMiA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2IDYzNiAzMTggNTAwCjQwMSA0NzEgNjEyIDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQgNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3ODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDUKNjMwIDYxMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk4MiA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4IDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQgNTkyIDYzNSA1OTIgXQplbmRvYmoKMjIgMCBvYmoKPDwgL2VxdWFsIDIzIDAgUiAvZml2ZSAyNCAwIFIgL2ZvdXIgMjUgMCBSIC9oeXBoZW4gMjYgMCBSIC9vbmUgMjggMCBSCi9wYXJlbmxlZnQgMjkgMCBSIC9wYXJlbnJpZ2h0IDMwIDAgUiAvciAzMSAwIFIgL3NwYWNlIDMyIDAgUiAvdGhyZWUgMzMgMCBSCi90d28gMzQgMCBSIC96ZXJvIDM2IDAgUiA+PgplbmRvYmoKMyAwIG9iago8PCAvRjIgMTUgMCBSIC9GMSAyMSAwIFIgPj4KZW5kb2JqCjQgMCBvYmoKPDwgL0ExIDw8IC9UeXBlIC9FeHRHU3RhdGUgL0NBIDAgL2NhIDEgPj4KL0EyIDw8IC9UeXBlIC9FeHRHU3RhdGUgL0NBIDEgL2NhIDEgPj4gPj4KZW5kb2JqCjUgMCBvYmoKPDwgPj4KZW5kb2JqCjYgMCBvYmoKPDwgPj4KZW5kb2JqCjcgMCBvYmoKPDwgL0YxLURlamFWdVNhbnMtbWludXMgMjcgMCBSIC9GMS1EZWphVnVTYW5zLXVuaTAzMDcgMzUgMCBSID4+CmVuZG9iagoyIDAgb2JqCjw8IC9UeXBlIC9QYWdlcyAvS2lkcyBbIDExIDAgUiBdIC9Db3VudCAxID4+CmVuZG9iagozNyAwIG9iago8PCAvQ3JlYXRvciAoTWF0cGxvdGxpYiB2My43LjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcpCi9Qcm9kdWNlciAoTWF0cGxvdGxpYiBwZGYgYmFja2VuZCB2My43LjEpCi9DcmVhdGlvbkRhdGUgKEQ6MjAyMzExMDMwODE5MDArMDInMDAnKSA+PgplbmRvYmoKeHJlZgowIDM4CjAwMDAwMDAwMDAgNjU1MzUgZiAKMDAwMDAwMDAxNiAwMDAwMCBuIAowMDAwMDEyODY5IDAwMDAwIG4gCjAwMDAwMTI2MDYgMDAwMDAgbiAKMDAwMDAxMjY0OSAwMDAwMCBuIAowMDAwMDEyNzQ4IDAwMDAwIG4gCjAwMDAwMTI3NjkgMDAwMDAgbiAKMDAwMDAxMjc5MCAwMDAwMCBuIAowMDAwMDAwMDY1IDAwMDAwIG4gCjAwMDAwMDAzNDIgMDAwMDAgbiAKMDAwMDAwNTY5NSAwMDAwMCBuIAowMDAwMDAwMjA4IDAwMDAwIG4gCjAwMDAwMDU2NzQgMDAwMDAgbiAKMDAwMDAwNjU4OCAwMDAwMCBuIAowMDAwMDA2MzczIDAwMDAwIG4gCjAwMDAwMDYwMzcgMDAwMDAgbiAKMDAwMDAwNzY0MSAwMDAwMCBuIAowMDAwMDA1NzE1IDAwMDAwIG4gCjAwMDAwMDU4NzAgMDAwMDAgbiAKMDAwMDAxMTM2NCAwMDAwMCBuIAowMDAwMDExMTU3IDAwMDAwIG4gCjAwMDAwMTA3NDggMDAwMDAgbiAKMDAwMDAxMjQxNyAwMDAwMCBuIAowMDAwMDA3NjgzIDAwMDAwIG4gCjAwMDAwMDc4MjkgMDAwMDAgbiAKMDAwMDAwODE1MSAwMDAwMCBuIAowMDAwMDA4MzE3IDAwMDAwIG4gCjAwMDAwMDg0NDMgMDAwMDAgbiAKMDAwMDAwODYxNSAwMDAwMCBuIAowMDAwMDA4NzcwIDAwMDAwIG4gCjAwMDAwMDg5OTMgMDAwMDAgbiAKMDAwMDAwOTIxNyAwMDAwMCBuIAowMDAwMDA5NDUwIDAwMDAwIG4gCjAwMDAwMDk1NDAgMDAwMDAgbiAKMDAwMDAwOTk1MyAwMDAwMCBuIAowMDAwMDEwMjc3IDAwMDAwIG4gCjAwMDAwMTA0NjAgMDAwMDAgbiAKMDAwMDAxMjkyOSAwMDAwMCBuIAp0cmFpbGVyCjw8IC9TaXplIDM4IC9Sb290IDEgMCBSIC9JbmZvIDM3IDAgUiA+PgpzdGFydHhyZWYKMTMwODYKJSVFT0YK",
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.markers import MarkerStyle\n",
    "\n",
    "def F(x, r, t = 0):\n",
    "    return r * x - x**2\n",
    "\n",
    "x = np.linspace(-5, 5, 100)\n",
    "\n",
    "# Case 1: r < 0\n",
    "r = -3\n",
    "y = F(x, r)\n",
    "plt.figure(figsize=(15, 5))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.plot(x, y)\n",
    "plt.scatter(x=0, y=0, marker='o', s = 100, color='black')\n",
    "plt.scatter(x=r, y=0, marker='o', s = 100, color='black', facecolors='none')\n",
    "plt.axhline(y=0, color='red', linestyle='--')\n",
    "plt.axvline(x=0, color='gray')\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$F(x)=\\dot{x}$')\n",
    "plt.title('r = -3')\n",
    "\n",
    "# Case 2: r = 0\n",
    "r = 0\n",
    "y = F(x, r)\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.plot(x, y)\n",
    "plt.scatter(x=0,y=0, marker='o', s = 100, color = 'black', facecolors='none')\n",
    "plt.scatter(x=0,y=0, marker= MarkerStyle('o', fillstyle = 'right'), s = 100,color='black')\n",
    "plt.axhline(y=0, color='red', linestyle='--')\n",
    "plt.axvline(x=0, color='gray')\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$F(x)=\\dot{x}$')\n",
    "plt.title('r = 0')\n",
    "\n",
    "# Case 3: r > 0\n",
    "r = 3\n",
    "y = F(x, r)\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.plot(x, y)\n",
    "plt.scatter(x=0, y=0, marker='o', s = 100, color='black', facecolors='none')\n",
    "plt.scatter(x=r, y=0, marker='o', s = 100, color='black') \n",
    "plt.axhline(y=0, color='red', linestyle='--')\n",
    "plt.axvline(x=0, color='gray')\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$F(x)=\\dot{x}$')\n",
    "plt.title('r = 3')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "03f90776-0762-4d9d-ada3-c0b5ae5b3514",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -3 * x - x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,0.8,1000)\n",
    "l_x0 = [-3.1, -3, -0.3, 1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return - x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [-0.3, 1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 3 * x - x**2\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [1., 3., 3.5]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "49e7fb5f-17ef-490e-88cc-c929a30b7cf3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r_negative = np.linspace(-10, 0, 200, endpoint=False)\n",
    "r_positive = np.linspace(0, 10, 200)\n",
    "\n",
    "x_star_zero_neg = np.zeros_like(r_negative)\n",
    "x_star_zero_pos = np.zeros_like(r_positive)\n",
    "\n",
    "x_star_r_neg = r_negative\n",
    "x_star_r_pos = r_positive\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(r_negative, x_star_zero_neg, linestyle='-', color='blue')  # Normal line for r < 0\n",
    "plt.plot(r_positive, x_star_zero_pos, linestyle='--', color='blue')  # Dashed line for r > 0\n",
    "plt.plot(r_negative, x_star_r_neg, linestyle='--', color='orange')  # Dashed line for r < 0\n",
    "plt.plot(r_positive, x_star_r_pos, linestyle='-', color='orange')  # Normal line for r > 0\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## it's a transcritical bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7bd91438-f260-4965-8c67-c2d12f37b30e",
   "metadata": {},
   "source": [
    "### C) $\\frac{dx}{dt} = rx - 4x^3$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "8e284b5d-afe2-49aa-8a35-4c3b650a89db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.markers import MarkerStyle\n",
    "\n",
    "def F(x, r):\n",
    "    return r * x - 4 * x**3\n",
    "\n",
    "x = np.linspace(-3, 3, 400)\n",
    "\n",
    "y_neg = F(x, r=-5)  # r < 0\n",
    "y_zero = F(x, r=0)  # r = 0\n",
    "y_pos = F(x, r=5)   # r > 0\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(18, 6))\n",
    "\n",
    "# r < 0\n",
    "ax1.plot(x, y_neg, label='r=-5')\n",
    "ax1.axhline(0, color='gray', lw=0.5)\n",
    "ax1.axvline(0, color='gray', lw=0.5)\n",
    "ax1.scatter(0, 0, color='black', zorder=5)\n",
    "ax1.set_title(\"r < 0\")\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('dx/dt')\n",
    "ax1.grid(True)\n",
    "\n",
    "# r = 0\n",
    "ax2.plot(x, y_zero, label='r=0')\n",
    "ax2.axhline(0, color='gray', lw=0.5)\n",
    "ax2.axvline(0, color='gray', lw=0.5)\n",
    "ax2.scatter(0, 0, color='black', zorder=5)\n",
    "ax2.set_title(\"r = 0\")\n",
    "ax2.set_xlabel('x')\n",
    "ax2.grid(True)\n",
    "\n",
    "# r > 0\n",
    "ax3.plot(x, y_pos, label='r=5')\n",
    "ax3.axhline(0, color='gray', lw=0.5)\n",
    "ax3.axvline(0, color='gray', lw=0.5)\n",
    "sqrt_r_4 = np.sqrt(5 / 4)\n",
    "ax3.scatter([sqrt_r_4, -sqrt_r_4], [0, 0], color='black', zorder=5)\n",
    "ax3.scatter(0, 0, color='black', facecolors='none', zorder=5)\n",
    "ax3.set_title(\"r > 0\")\n",
    "ax3.set_xlabel('x')\n",
    "ax3.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "95225a99-6135-4715-8563-30b7a22ca58d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -5 * x - 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,0.8,1000)\n",
    "l_x0 = [-3.1, -3, -0.3, 0,  1., 3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return - 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [-1., -0.3, 1., 0,  3.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 5 * x - 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [-1., -3., 0, 0.3, 1., 3., 3.5]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "2b56f138-063c-4af6-95bd-d80c54a58ff6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r_negative = np.linspace(-10, 0, 200, endpoint=False)\n",
    "r_positive = np.linspace(0, 10, 200)\n",
    "\n",
    "sqrt_r_over_2_pos = np.sqrt(r_positive) / 2\n",
    "minus_sqrt_r_over_2_pos = -sqrt_r_over_2_pos\n",
    "\n",
    "zero_neg = np.zeros_like(r_negative)\n",
    "\n",
    "zero_pos = np.zeros_like(r_positive)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r_negative, zero_neg, linestyle='-', color='green', label='$x* = 0$ for $r < 0$')  # Normal line\n",
    "\n",
    "plt.plot(r_positive, sqrt_r_over_2_pos, linestyle='-', color='blue', label='$\\sqrt{r}/2$ for $r > 0$')  # Normal line\n",
    "plt.plot(r_positive, minus_sqrt_r_over_2_pos, linestyle='-', color='orange', label='$-\\sqrt{r}/2$ for $r > 0$')  # Normal line\n",
    "plt.plot(r_positive, zero_pos, linestyle='--', color='green', label='$x* = 0$ for $r > 0$')  # Dashed line\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## it's a supercritical pitchfork bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5342fa94-e51f-44bc-960c-9418bb58bf15",
   "metadata": {},
   "source": [
    "### D) $\\frac{dx}{dt} = rx + 4x^3$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "6ee924be-a796-449e-af02-7afeabed551e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def F(x, r):\n",
    "    return r * x + 4 * x**3\n",
    "\n",
    "x = np.linspace(-2, 2, 400)\n",
    "\n",
    "y_neg = F(x, r=-5)   # r < 0\n",
    "y_zero = F(x, r=0)   # r = 0\n",
    "y_pos = F(x, r=5)    # r > 0\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(18, 6))\n",
    "\n",
    "# r < 0\n",
    "ax1.plot(x, y_neg)\n",
    "ax1.axhline(0, color='gray', lw=0.5)\n",
    "ax1.axvline(0, color='gray', lw=0.5)\n",
    "ax1.scatter(0, 0, color='black')\n",
    "ax1.scatter([sqrt_r_4, -sqrt_r_4], [0, 0], color='black', zorder=5, facecolors='none') \n",
    "ax1.scatter(0, 0, color='black', zorder=5)\n",
    "ax1.set_title(\"r < 0\")\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('dx/dt')\n",
    "ax1.grid(True)\n",
    "\n",
    "# r = 0\n",
    "ax2.plot(x, y_zero)\n",
    "ax2.axhline(0, color='gray', lw=0.5)\n",
    "ax2.axvline(0, color='gray', lw=0.5)\n",
    "ax2.scatter(0, 0, color='black', facecolors='none')\n",
    "ax2.set_title(\"r = 0\")\n",
    "ax2.set_xlabel('x')\n",
    "ax2.grid(True)\n",
    "\n",
    "# r > 0\n",
    "ax3.plot(x, y_pos)\n",
    "ax3.axhline(0, color='gray', lw=0.5)\n",
    "ax3.axvline(0, color='gray', lw=0.5)\n",
    "ax3.scatter(0, 0, color='black', facecolors='none')\n",
    "ax3.set_title(\"r > 0\")\n",
    "ax3.set_xlabel('x')\n",
    "ax3.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "cb1df4c1-57b5-4f8e-ba6d-2d007615acd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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      "image/png": 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      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -5 * x + 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,0.2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,0.05,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 5 * x + 4 * x**3\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,0.05,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "241a4fb7-fed9-422e-ab18-947a0dc1e98c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r_negative = np.linspace(-10, 0, 200, endpoint=False)  # Avoid including zero\n",
    "r_positive = np.linspace(0, 10, 200)\n",
    "sqrt_r_over_2_neg = np.sqrt(-r_negative) / 2\n",
    "minus_sqrt_r_over_2_neg = -sqrt_r_over_2_neg\n",
    "zero_neg = np.zeros_like(r_negative)\n",
    "\n",
    "zero_pos = np.zeros_like(r_positive)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r_negative, sqrt_r_over_2_neg, linestyle='--', color='blue', label='$\\sqrt{-r}/2$ for $r<0$')  # Normal line\n",
    "plt.plot(r_negative, minus_sqrt_r_over_2_neg, linestyle='--', color='orange', label='$-\\sqrt{-r}/2$ for $r<0$')  # Normal line\n",
    "plt.plot(r_negative, zero_neg, linestyle='-', color='green', label='$0$ for $r<0$')  # Normal line\n",
    "\n",
    "plt.plot(r_positive, zero_pos, linestyle='--', color='green', label='$0$ for $r>0$')  # Dashed line\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## this is a subcritical pitchfork bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec7f4c82-63d9-494f-8c6c-1afc818e3a65",
   "metadata": {},
   "source": [
    "### E) $\\frac{dx}{dt} = rx - sinh(x)$  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "ae14d077-aa70-444a-8ad6-d0c112852ace",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.optimize as opt\n",
    "\n",
    "def F(x, r):\n",
    "    return r * x - np.sinh(x)\n",
    "\n",
    "x = np.linspace(-3, 3, 400)\n",
    "\n",
    "y_neg = F(x, r=-2)   # r < 0\n",
    "y_zero = F(x, r=0)   # r = 0\n",
    "y_pos = F(x, r=2)    # r > 0\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(18, 6))\n",
    "\n",
    "# r < 0\n",
    "ax1.plot(x, y_neg)\n",
    "ax1.scatter(0, 0, color='black', zorder=5)\n",
    "ax1.axhline(0, color='gray', lw=0.5)\n",
    "ax1.axvline(0, color='gray', lw=0.5)\n",
    "ax1.set_title(\"r < 0\")\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('dx/dt')\n",
    "ax1.grid(True)\n",
    "\n",
    "# r = 0\n",
    "ax2.plot(x, y_zero)\n",
    "ax2.scatter(0, 0, color='black', zorder=5)\n",
    "ax2.axhline(0, color='gray', lw=0.5)\n",
    "ax2.axvline(0, color='gray', lw=0.5)\n",
    "ax2.set_title(\"r = 0\")\n",
    "ax2.set_xlabel('x')\n",
    "ax2.grid(True)\n",
    "\n",
    "# r > 0\n",
    "ax3.plot(x, y_pos)\n",
    "ax3.scatter(0, 0, color='black', zorder=5, facecolors='none')\n",
    "ax3.scatter(-2.177, 0, color='black', zorder=5)\n",
    "ax3.scatter(2.177, 0, color='black', zorder=5)\n",
    "ax3.axhline(0, color='gray', lw=0.5)\n",
    "ax3.axvline(0, color='gray', lw=0.5)\n",
    "ax3.set_title(\"r > 0\")\n",
    "ax3.set_xlabel('x')\n",
    "ax3.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0b0bc91-8ea5-44f3-892a-47f4f15c0882",
   "metadata": {},
   "source": [
    "# Note, there is no analytical solution for this exercise. You should use the trick to cross the two curves to find the fixed points (qualitatively, i.e., how many there are depending on r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d9122ace-0fe9-4865-9cc3-e5e8a0c6a1a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return -2 * x - np.sinh(x)\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,0.2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return - np.sinh(x)\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return 2 * x - np.sinh(x)\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2, 4., -4.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "23c32762-aa14-4fa9-b4c5-a0c08c5457e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### note here the shape i'm drawing is not correct, just to show you the trend\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r_negative = np.linspace(-10, 0, 200, endpoint=False)\n",
    "r_positive = np.linspace(0, 10, 200)\n",
    "\n",
    "sqrt_r_over_2_pos = np.sqrt(r_positive) / 2\n",
    "minus_sqrt_r_over_2_pos = -sqrt_r_over_2_pos\n",
    "\n",
    "zero_neg = np.zeros_like(r_negative)\n",
    "\n",
    "zero_pos = np.zeros_like(r_positive)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r_negative+ 1, zero_neg, linestyle='-', color='green', label='$x* = 0$ for $r < 0$')  # Normal line\n",
    "\n",
    "plt.plot(r_positive + 1, sqrt_r_over_2_pos, linestyle='-', color='blue', label='$\\sqrt{r}/2$ for $r > 0$')  # Normal line\n",
    "plt.plot(r_positive + 1, minus_sqrt_r_over_2_pos, linestyle='-', color='orange', label='$-\\sqrt{r}/2$ for $r > 0$')  # Normal line\n",
    "plt.plot(r_positive + 1, zero_pos, linestyle='--', color='green', label='$x* = 0$ for $r > 0$')  # Dashed line\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## it's a supercritical pitchfork bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4e974ea-0050-41cf-996b-31b7108a8265",
   "metadata": {},
   "source": [
    "### F) $\\frac{dx}{dt} = x + \\frac{rx}{1 + x^2}$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ff2c26d7-784c-468e-b0b8-d646f7e5632d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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      "text/plain": [
       "<Figure size 1800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def F(x, r):\n",
    "    return x + r * x / (1 + x**2)\n",
    "\n",
    "x = np.linspace(-3, 3, 400)\n",
    "\n",
    "y_neg = F(x, r=-2)   # r < -1\n",
    "y_neg2 = F(x, r=-0.9)   # -1 < r < 0\n",
    "y_zero = F(x, r=0)   # r = 0\n",
    "y_pos = F(x, r=2)    # r > 0\n",
    "\n",
    "fig, (ax1, ax2, ax3, ax4) = plt.subplots(1, 4, figsize=(18, 6))\n",
    "\n",
    "# r < -1\n",
    "ax1.plot(x, y_neg)\n",
    "ax1.scatter(0, 0, color='black', zorder=5)\n",
    "ax1.scatter(np.sqrt(2-1), 0, color='black', zorder=5, facecolors='none')\n",
    "ax1.scatter(-np.sqrt(2-1), 0, color='black', zorder=5, facecolors='none')\n",
    "ax1.axhline(0, color='gray', lw=0.5)\n",
    "ax1.axvline(0, color='gray', lw=0.5)\n",
    "ax1.set_title(\"r < -1\")\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('dx/dt')\n",
    "ax1.grid(True)\n",
    "\n",
    "# -1 < r < 0\n",
    "ax2.plot(x, y_neg2)\n",
    "ax2.scatter(0, 0, color='black', zorder=5, facecolors='none')\n",
    "ax2.axhline(0, color='gray', lw=0.5)\n",
    "ax2.axvline(0, color='gray', lw=0.5)\n",
    "ax2.set_title(\"-1 < r < 0\")\n",
    "ax2.set_xlabel('x')\n",
    "ax2.grid(True)\n",
    "\n",
    "# r = 0\n",
    "ax3.plot(x, y_zero)\n",
    "ax3.scatter(0, 0, color='black', zorder=5, facecolors='none')\n",
    "ax3.axhline(0, color='gray', lw=0.5)\n",
    "ax3.axvline(0, color='gray', lw=0.5)\n",
    "ax3.set_title(\"r = 0\")\n",
    "ax3.set_xlabel('x')\n",
    "ax3.grid(True)\n",
    "\n",
    "# r > 0\n",
    "ax4.plot(x, y_pos)\n",
    "ax4.scatter(0, 0, color='black', zorder=5, facecolors='none')\n",
    "ax4.axhline(0, color='gray', lw=0.5)\n",
    "ax4.axvline(0, color='gray', lw=0.5)\n",
    "ax4.set_title(\"r > 0\")\n",
    "ax4.set_xlabel('x')\n",
    "ax4.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "2d4e2f60-770b-4f63-b88c-0d89277d6a1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# simulate F(x) in time\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return x -2 * x / (1 + x**2)\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize = (15,7))\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2, 4., -4.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax1.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax1.set_ylabel(r'$x(t)$')\n",
    "ax1.set_xlabel(r'$t$')\n",
    "ax1.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return x\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax2.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax2.set_ylabel(r'$x(t)$')\n",
    "ax2.set_xlabel(r'$t$')\n",
    "ax2.legend()\n",
    "\n",
    "\n",
    "def F(x, t = 0):\n",
    "    return x +2 * x / (1 + x**2)\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "y = F(x)\n",
    "tspan = np.linspace(0,2,1000)\n",
    "l_x0 = [0., 1., 1.2, -1., -1.15, -1.2, 4., -4.]\n",
    "for x0 in l_x0:\n",
    "    X = odeint(F, x0 ,tspan)\n",
    "    ax3.plot(tspan,X, label = 'x0 = ' + str(x0))\n",
    "ax3.set_ylabel(r'$x(t)$')\n",
    "ax3.set_xlabel(r'$t$')\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "70e43d3a-4857-43eb-8054-23fee8ce8b5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### note here the shape i'm drawing is not correct, just to show you the trend\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r_negative = np.linspace(-10, 0, 200, endpoint=False)  # Avoid including zero\n",
    "r_positive = np.linspace(0, 10, 200)\n",
    "sqrt_r_over_2_neg = np.sqrt(-r_negative) / 2\n",
    "minus_sqrt_r_over_2_neg = -sqrt_r_over_2_neg\n",
    "zero_neg = np.zeros_like(r_negative)\n",
    "\n",
    "zero_pos = np.zeros_like(r_positive)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r_negative-1, sqrt_r_over_2_neg, linestyle='--', color='blue', label='$\\sqrt{-r}/2$ for $r<0$')  # Normal line\n",
    "plt.plot(r_negative-1, minus_sqrt_r_over_2_neg, linestyle='--', color='orange', label='$-\\sqrt{-r}/2$ for $r<0$')  # Normal line\n",
    "plt.plot(r_negative-1, zero_neg, linestyle='-', color='green', label='$0$ for $r<0$')  # Normal line\n",
    "\n",
    "plt.plot(r_positive-1, zero_pos, linestyle='--', color='green', label='$0$ for $r>0$')  # Dashed line\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## this is a subcritical pitchfork bifurcation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f90909ae-ff25-4a96-9034-8814f7c13c9b",
   "metadata": {},
   "source": [
    "## Question 2\n",
    "Construct a vector field that depends on a real parameter r, dx/dt = f(r, x), and that has no fixed points for r < 0, and four fixed points for r > 0. Sketch the vector field in the two cases, indicate the direction of flow, and label any fixed points with their stability.  \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "4f2f9b0d-05dd-494c-8efa-ed0d770ad59f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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ZYzqJPwAAjNtHxZ8jVScq/jpI/AEA4ChjrT6Z8ededsXfVhJ/AACkxZZDicTfJBJ/TkfFHwAA5tn78HQSf45SbVf89ZP4AwDAScZafZL4cy/70HH7kX6FozHD0QAAkN0sy9LWlnjibz6JP8ezW4od7h1WKBI1HA0AAO4TicZ0oHtIEhV/TmMn/joGQrIsy3A0AABAit87dQ/FK/4qi2j16VpTKgpUnJej0WhMO9v6TYcDAEBW2981pP6RiHJzvJpdW2w6HJxBVVGuigI5sizpQNeQ6XAAAHCdQz3DisQsBXK8qi/JMx0OjmEfJoajlvqGw4ajAQAAktQzFJZlSR6PVFFA4s+1PB6P5jfQ7hMAgHTYkthrz68vkd/HrY7TeTyesao/2n0CAJB+zV2J+X6VhfJ6PYajwbECOT6V5vslSR20+wQAwBHsNp8VBbnKcei5kzOjykILJtuJv6DhSAAAyG72QzYLJpUYjgTjxZw/AADMae6I77/TaPPpSMe2+wQAAOY5fb6fROIvbeY1xA8ft1DxBwBASr19KL7XLpxUZjYQjJt90Livi8QfAADpZu+/zPdzpurEoSIVfwAAOIOd+HPqfD+JxF/aLJxcJkl690hQo5GY2WAAAMhSsZg1VvE3f1Kp4WgwXtOqCiRJeztI/AEAkG52xf10En+OVFVM4g8AACfpGhiVRMUfJE2tLFBJXo5GIzHtbOs3HQ4AAFlpf/eQ+kMR5eZ4Nau2yHQ4SfPiiy/q+uuvV0NDgzwej37zm9+c8r1f+MIX5PF49MADD6QtvnM1rSr+u6LiDwCA9LMTf1T8OdNYxR+tPgEAcIQOWn3C5vF4tKixTJK0+WCv0VgAAMhWWw71SpLm1pfI79AByxMxODioRYsW6Qc/+MFp3/eb3/xGr732mhoaGtIUWXJMq4wfNLYFQxoMRQxHAwCAe4yEozrcOyyJGX9OZc/46+wfNRwJAACQju7JVcW0+oSkhZPjLcfsQ0kAAJBcdpvPBVnW5nPFihX65je/qRtvvPGU7zl8+LC++MUv6mc/+5n8fn8aozt3pQV+VRTGb5ip+gMAIH0Odg/JsqSiQI6qHDynxs3sxB8VfwAAOIM946+qkIo/SFqUmPO35VCf2UAAAMhSb2dp4u9MYrGYbrnlFv3DP/yD5s2bZzqcCbGrDOx2YwAAIPX2JvbdaVWF8ng8hqPByVQz4w8AAEfpGkwk/hxc8ZdjOgA3sVt97mzr19BoRAW5/PgBAEiWWMzSO4eDkqT5Lkv83X///crJydGXv/zlcX9NKBRSKHT0ACkYjP/swuGwwuFw0mO0r3mqa0+pyNfG/T3a09afku9vypnWna1Yt7vWLbl37aybdWe6Pe3x/X9KRf4p15WOdWfTzzTZ7EpMEn8AADiDvSc7ecYfmac0qi3JU21JQG3BkLYeDuriaRWmQwIAIGvs7RxUfyiiQI5Xs2qLTIeTNhs3btT3vvc9bdq06aye1F+1apXuvffeE15fvXq1CgoKkhnicdasWXPS10c7PZJ8ennLTk0d2p6y72/Kqdad7Vi3+7h17azbXbJp3S/t8UryKtLTomefPXTa96Zy3UNDQym7dqazK/66B0OKxiz5vFRmAgBgSixmqXMgPuOvpjjPcDSnRuIvzRZNLtPqbW3acqiXxB8AAEn01sFeSfE2n36fe7qZv/TSS2pvb9eUKVPGXotGo/q7v/s7PfDAA9q3b99Jv+6uu+7SypUrxz4OBoNqbGzU8uXLVVJSkvQ4w+Gw1qxZo2XLlp10BqFna6ue+fkWRfLKdd11lyT9+5typnVnK9btrnVL8bU/9NBDrlu7W3/nrDt71v2zn7whqUfLLlmo6xY3nPQ96Vi33XkAJ6osDMjrkWKW1D04OpYIBAAA6dczNKpozJLHI1U6eD4yib80W9QYT/y9xZw/AACS6q1DvZKOttZ2i1tuuUUf/OAHj3vtmmuu0S233KLbbrvtlF8XCAQUCJx4cOT3+1N6mHmq68+sjbdn3dc1lDWHqcdK9c/VqVi3+7h17azbXbJp3fu64pV2M+tKz7imVK47W36eqeDzelRRGFDnQEgd/SESfwAAGNSeaPNZUZDr6IfOSfyl2cLJ8UMtuyoBAAAkh/1QTTYm/gYGBrR79+6xj5ubm7V582ZVVFRoypQpqqysPO79fr9fdXV1mjNnTrpDnbCpVfH2oj1DYfUOjaqswLlPzgEAkA0GQ5Gxw6tplYWGo8HpVBXlxhN/A8z5AwDAJHu+n9MfxHFuSjJLLZxUJkk60D2knsFRs8EAAJAlQpGo3m2Jt4haPLnMbDApsGHDBi1ZskRLliyRJK1cuVJLlizRN77xDcORJU9Bbo7qS+P98fd0DBqOBgCA7Lc3sd9WFuaqtICKOyezDxc7+0n8AQBgUqYk/qj4S7PSAr+mVRWquXNQWw736arZ1aZDAgAg420/0q/RaEzlBX41VuSbDifprr76almWNe73n2qun9NNry7Ukb4R7e0Y0IVN5abDAQAgq+3tHJAU33/hbPbhIhV/AACYZe/F1UXOTvxR8WcA7T4BAEiuY+f7eTwes8FgwqZXFUmS9nZS8QcAQKrZFfYzqosMR4IzGUv8UfEHAIBR7cFE4q+ExB/+xKJEC7ItiUNKAABwbjYnHqZZlIVtPt1kRqLiYE/7gOFIAADIfns6qPjLFHZVAYk/AADMouIPp7SoMVHxd6jvrNp2AQCAk7Or6Bc3lhmNA+dmejUVfwAApIs948+uuIdzjc34o9UnAABGdfSPSHL+jD8SfwbMrS+Vz+tRR39IrcER0+EAAJDRgiPhsVZVdjttZCa74mB/16Ai0ZjhaAAAyF6xmKXmxIy/GTUk/pyOij8AAJyhPbEX1xTnGY7k9Ej8GZCf69Oc2mJJzPkDAOBcvX2oT5LUWJGvSoe3WsDpNZTmK8/vVThq6WDPsOlwAADIWi19wxoJx+T3edRYnm86HJzB2Iw/Kv4AADDKfgiHij+c1LHtPgEAwMQx3y97eL0eTUu0G9vbwZw/AABSxW7zOaWiQDk+joaczj5c7B0KazRCVwQAAEwYCUfVPxKRROIPp7AwcTi55VCv0TgAAMh0zPfLLna7T/tAEgAAJJ/9gM2Mave0+bznnnvk8XiO+1NXV2c6rHEpzffL7/NIkroGqfoDAMAEu9ovN8erkrwcw9GcnrOjy2J2VcKWg32KxSx5vR6zAQEAkKHeSjxEs4jEX1aYURVP/O2h4g8AgJSx5yNPd1HiT5LmzZun3/3ud2Mf+3w+g9GMn8fjUVVRQEf6RtTRH1J9Ke1ZAQBIt6Pz/QLyeJydzyHxZ8js2iLl+b3qD0XU3DXoqqfsAABIlta+EbUFQ/J5PZrXUGI6HCTBjBq71ScVfwAApMrezvgDNnalvVvk5ORkTJXfn6ouPpr4AwAA6Zcp8/0kw4m/VatW6de//rW2b9+u/Px8XXbZZbr//vs1Z86csfd87nOf02OPPXbc111yySV69dVX0x1uUuX4vJrXUKqN+3u05VAviT8AACbAnu83u7ZYBbk8z5QNptsz/jqp+AMAIFXsB2zcdhaxa9cuNTQ0KBAI6JJLLtF9992n6dOnn/L9oVBIodDRRFswGJQkhcNhhcPhlMRoX/dPr19Z6JcktfYOpex7m3SqdWc71s263YB1s+5s0do3JEmqKsw9YX3pWPfZXNvoCdm6det0xx136KKLLlIkEtHdd9+t5cuXa9u2bSosPPrU2bXXXqtHHnlk7OPc3FwT4Sbdosll2ri/R28d7NPHlkw2HQ4AABnHbvO5uLHUbCBImmmJyoPOgVH1DYVVWuA3HBEAANllMBTRkb4RSdIMF1X8XXLJJfr3f/93zZ49W21tbfrmN7+pyy67TO+8844qKytP+jWrVq3Svffee8Lrq1evVkFBQUrjXbNmzXEfD/d4JXm1ftPbKmrfktLvbdKfrtstWLe7sG53Yd3Z45WD8b14qLtVzz777Enfk8p1Dw0Njfu9RhN/zz///HEfP/LII6qpqdHGjRv13ve+d+z1QCCQsa0YTmdR4pDSPrQEAABn561ExZ89OxeZryiQo7qSPLUGR7Snc0AXTCk3HRIAAFmluTNe7VdRmKuygux4sHo8VqxYMfbfFyxYoEsvvVQzZszQY489ppUrV570a+66667jPhcMBtXY2Kjly5erpCQ1bebD4bDWrFmjZcuWye8/+gDU9t/t0qvtzapomKrrrjs/Jd/bpFOtO9uxbvet+6GHHnLlut36+2bd2bXu9U+9Ix06rAvnzdJ175tx3OfSsW6788B4OKonVl9fnySpoqLiuNfXrl2rmpoalZWV6aqrrtK3vvUt1dTUnPQaTmrDcCbz6uMtNbYe7tPAcEiBHG/SY0ulbC7bPR3WzbrdgHWz7kwQi1ljD8/Mqy866/id1oYBR02vLlRrcER7OwZJ/AEAkGR7OuLttN1U7XcyhYWFWrBggXbt2nXK9wQCAQUCJ87x8fv9KT/M/NPvUVcarzDsGgpn3UHqsdLxs3Ui1u0urNtdWHf26BqMn/HUlRaccm2pXPfZXNcxiT/LsrRy5UpdccUVmj9//tjrK1as0Cc+8Qk1NTWpublZX//61/X+979fGzduPOnNl5PaMJyJZUmFOT4NRqSf/Op5TS1OUWAplo1lu+PBut2FdbsL684MrUPSYChHuV5Luza+pL2eiV3HKW0YcNT06kKt39OlvR3M+QMAINns+X72XF23CoVCevfdd3XllVeaDmVcqovjZ2Ad/aEzvBMAAKSCvQfbe7KTOSbx98UvflFbtmzRyy+/fNzrn/zkJ8f++/z587V06VI1NTXpmWee0Y033njCdZzUhmE8nurZpBd2dKpgyjxdd2lTSuJLlWwu2z0d1u2+ddOGgXVnu0xd96/fPCy99Y4WNpbr+g9dfNZf77Q2DDhqRnX8IHIPiT8AAJLO3l+nu6zi7+///u91/fXXa8qUKWpvb9c3v/lNBYNB3XrrraZDG5eqovghY+fAqOFIAABwp3YSf2fnS1/6kp5++mm9+OKLmjx58mnfW19fr6amplO2YnBSG4bxuLCpQi/s6NSWw/0Zddh6rGws2x0P1u0urNtdWHdm2NoSP7RaMqX8nOJ2ShsGHDU9kfizKxIAAEDy2Pur/aCNWxw6dEif+tSn1NnZqerqar3nPe/Rq6++qqamzHgIm4o/AADMicUsdQ7E9+AaEn+nZ1mWvvSlL+nJJ5/U2rVrNW3atDN+TVdXlw4ePKj6+vo0RJh6SxJza9480GM4EgAAMos9329RY5nROJB806viFQj7u4YUicaU48usOcgAADhVLGapuTPR6tNlFX9PPPGE6RDOiZ34GwhFNDQaUUGuI57lBwDAFfqGwwpHLUlSZVGu4WjOzOgpyh133KGf/vSnevzxx1VcXKzW1la1trZqeHhYkjQwMKC///u/1yuvvKJ9+/Zp7dq1uv7661VVVaWPfexjJkNPmkWNZfJ4pEM9w2rvHzEdDgAAGWEkHNW7R+JtNBdNLjMbDJJuUlm+AjlejUZjOtQzbDocAACyxpHgiIbDUeV4PWqsKDAdDs5CYa5P+X6fJKmzn3afAACkU0ei2q+swK9Ajs9wNGdmNPH34IMPqq+vT1dffbXq6+vH/vz85z+XJPl8Pr399tu64YYbNHv2bN16662aPXu2XnnlFRUXF5sMPWmKAjmaUxtfy+YDvWaDAQAgQ2w93Kdw1FJVUUCTy/NNh4Mk83o9mpao+tvbyZw/AACSZW9ivl9TZYH8VNRnFI/Ho6rieIWBffgIAADSoz2YOW0+JQe0+jyd/Px8/fa3v01TNOYsmVKm7a39evNgr5bPqzMdDgAAjrcp0SL7gill8ng8hqNBKsyoLtL21n7t7RjU+88zHQ0AANnBnu833WXz/bJFdVFAB7uH1UHHKAAA0qpjIL73VmdI4o/HuxxgSSNz/gAAOBub9vdKki5oKjcbCFLGnju0J3FACQAAzp1d8ee2+X7ZoqY4T5LU3k/FHwAA6dSR2Huri0j8YZyWTCmTJL11sE+RaMxsMAAAOJxlWcdU/JH4y1YzEpUIezpo9QkAQLLYD9TMoOIvI9WWxA8b7XZjAAAgPey9l4o/jNuM6iIVB3I0HI5qR1u/6XAAAHC0lr4RtfeHlOP1aMGkUtPhIEXGEn/tJP4AAEiW3Yl9dQYVfxmppiRe8dcWpNUnAADpZM/XtavvnY7EnwN4vR4tTlT9vXmg12gsAAA43ab98Wq/8+tLlJ/rMxwNUmVGTfxAsmtwVD2Do4ajAQAg8/WPhNWaSBjNrCk2HA0mwq4yoNUnAADpNdbqk4o/nI0ljWWSSPwBAHAmR9t8lpkNBClVkJujSWX5kqTdtPsEAOCc2W0+q4sDKs33G44GE1FLxR8AAEaQ+MOELEnMKHrzYI/hSAAAcLZNiYdkLmhivl+2m1ETb/e5m3afAACcM3s/ncl8v4xVkzhs7KDiDwCAtGon8YeJWJyo+NvbMajeIdpZAQBwMiPhqLa19EmSLphC4i/b2QeTJP4AADh3Y4m/GhJ/mcqu+OsaHFU4GjMcDQAA7hCKRNU3HJZ09CEcpyPx5xDlhbmaXhWfZbP5YK/ZYAAAcKith/sUjlqqKgpocnm+6XCQYrNq4weTu0j8AQBwzna390s6ur8i85QX+OX3eSRR9QcAQLp0DsQLtfw+T8a0Syfx5yCLE7OKmPMHAMDJ2Xvkkill8ng8ZoNBytkVCXtI/AEAcM5o9Zn5PB6PqovilQbtJP4AAEiL9sRs3eqiQMacRZH4cxB7zt+mA8z5AwDgZOw9kjaf7mAfTB7uHdZgKGI4GgAAMtdIOKoD3UOSaPWZ6WoS7T7bEoeQAAAgtewq++rEHpwJSPw5yJLEnL/NB3sVi1lmgwEAwGEsyzom8VdmNhikRXlhrioLcyXF5yADAICJ2dc1qJglFeflqDpDZtPg5OzZQlT8AQCQHh0DicRfUebcQ5H4c5Dz6oqV5/eqfySivZ20tAIA4FgtfSNqC4aU4/Vo4eQy0+EgTeyqhF2JuUQAAODs7WqLnzHMqinKmBZVOLnaRLVBOxV/AACkxVjFXwY9PEXiz0FyfN6xg8xNzPkDAOA4m/bHq/3Ory9Rfq7PcDRIFzvxt5s5fwAATNjYfD/afGa8sYq/IBV/AACkQzuJP5yrJYnWZW+S+AMA4Di0+XQnEn8AAJy73R0k/rJFTYnd6pOKPwAA0sGusq9jxh8makljuaSjVQ0AACDOfihmyZRys4EgrcYSfx0k/gAAmKg9VPxljZrEoWMbFX8AAKSFvefWllDxhwm6sCl+mLmzvV99w2HD0QAA4Awj4ajeaemTJF1A4s9VZtUUS5L2dw1pNBIzHA0AAJknEo1pb+egpKP7KjLXWKvPfhJ/AACkQ1ui4q+Wij9MVHVxQE2VBbKsoy3NAABwu3da+hSOWqoqylVjRb7pcJBGtSUBFQVyFI1Z2tc1aDocAAAyzsGeYY1GYsrzezWpjPuoTFdTHD907BoMKRLloSgAAFIpEo2pcyD+sE0NFX84F0ubKiRJG/eR+AMAQJI27e+VFG/z6fF4zAaDtPJ4PJrBnD8AACbM3j+nVxXJ6+U+KtNVFubK5/XIsqTOgVHT4QAAkNW6BkcVsySf16PKQhJ/OAdLp8ZbmG3Y3204EgAAnMGugqfNpzvNrCbxBwDARO1mvl9W8Xo9qi6KHzzarccAAEBq2HttdVFAvgx6gIrEnwMtTcz523ywV2HaNgAAXM6yrGMSf2Vmg4ERs2pJ/AEAMFH2/jmLxF/WqC1hzh8AAOnQFozvtbUZ1OZTIvHnSDOqi1Sa79dIOKZtLUHT4QAAYNTh3mG1BUPK8Xq0cHKZ6XBggF3xt4vEHwAAZ213e78kKv6ySXVizl97PxV/AACkkl3xV1OSZziSs0Piz4G8Xo8ubLLbfTLnDwDgbhsSM2/nTypVfq7PcDQwwT6o3NsxoGjMMhwNAACZw7Is7ekYlETiL5vUlNitPqn4AwAgldoTiT8q/pAUY4m/fcz5AwC42xuJvfCiqcz3c6vGigLl5ngVisR0uGfYdDgAAGSM1uCIBkIR+bweNVUWmg4HSVKbqPjroOIPAICUGmv1WUzFH5Jg6TEVf5bFk+0AAPeyK/6WTq0wHAlM8Xk9ml4VP6zc3dFvOBoAADKHPd9vamX8IRpkByr+AABIj7Z+u+KPxB+SYFFjmfw+jzr6QzrYzZPtAAB36hsKa0dbPNFjV8PDnez2ZLvamPMHAMB42fsmbT6zi91ujBl/AACklv2QTQ2tPpEMeX6f5k8qlSRt2E+7TwCAO208EN8Dp1cVqqoos26ykFyzaoolSbvaSfwBADBe9r5J4i+71CTajVHxBwBAah2d8UfFH5Lk2HafAAC40RtjbT6p9nO72bV2xR+tPgEAGC9735xdW2w4EiRTTXH8gbiugZCiMcbDAACQCqORmLoGRyWR+EMSXdgUn2W0cR+JPwCAO23YF6/4c/t8vxdffFHXX3+9Ghoa5PF49Jvf/Gbsc+FwWF/96le1YMECFRYWqqGhQZ/97GfV0tJiLuAUmFV7tOIvxgEXAABnZFmWdpL4y0qVRQF5PVLMiif/AABA8nUk9li/z6PyAr/haM4OiT8Hs2cZ7WzvV99Q2HA0AACk10g4qrcO9kmSLnJ54m9wcFCLFi3SD37wgxM+NzQ0pE2bNunrX/+6Nm3apF//+tfauXOnPvKRjxiINHWmVhYo1+fV0GhUh3uZfwwAwJm0BUMKjkTk83o0vbrQdDhIIp/XM9YGn3afAACkRluizWdNcZ48Ho/haM5OjukAcGrVxQFNrSzQvq4hbTrQo/edV2M6JAAA0mbr4T6NRmOqKsrV1MoC0+EYtWLFCq1YseKknystLdWaNWuOe+373/++Lr74Yh04cEBTpkxJR4gpl+Pzanp1oba39mtnW78aK9z9dwIAgDOxq/2mVhYokOMzHA2SrbYkT+39IbX3j0gqNR0OAABZ5+h8v4DhSM4eiT+Hu7CpQvu6hrRhfzeJPwCAq9gzbpc2VWTck1Wm9fX1yePxqKys7JTvCYVCCoWOPiEeDAYlxVuHhsPJ7zRgX/Ncrj0zkfh7t6VP752ZGVWgyVh3JmLd7lq35N61s27W7WTbj8Q7J8ysLjynmNOx7kz5mTqJPeePij8AAFLD3mMzbb6fROLP8S6aWq5fbTqkDcz5AwC4zNH5fuWGI8ksIyMj+sd//Ed9+tOfVklJySnft2rVKt17770nvL569WoVFKSumu5PqxPPhtXrkeTTujd3qHHg3eQFlQbnsu5Mxrrdx61rZ93ukinr/sMerySvFGzVs88+e87XS+W6h4aGUnbtbFWTqD6IV/wBAIBkaxur+CPxhySzDzvfOtSrcDQmv4+xjACA7BeLWWMVf26f73c2wuGw/vzP/1yxWEw/+tGPTvveu+66SytXrhz7OBgMqrGxUcuXLz9twvBcYluzZo2WLVsmv39iQ7H929r1zH9s1qC/VNddd2mSI0yNZKw7E7Fud61biq/9oYcect3a3fo7Z92Zse7/89Brkvp03WWLdd2CuglfJx3rtjsPYPxqiuOHkO39VPwBAJAKdsVfDa0+kWzTq4pUVuBX71BY77QEtbixzHRIAACk3J6OAfUOhZXv92luQ/KTUNkoHA7rpptuUnNzs/7whz+cMXkXCAQUCJx48+r3+1N6mHku1587qUyStKdjUF5fjnzezGkBm+qfq1Oxbvdx69pZt7tkwroty9KejkFJ8f0zGfGmct1O/3k60VjFX5CKPwAAUsGuqq8tzryKP8rHHM7r9ejCKfGqP7vlGQAA2e6NRIvrJVPKqHYfBzvpt2vXLv3ud79TZWWl6ZBSorGiQIEcr0KRmA520xIMAIBTaekb0UAoIr/Po6lVhabDQQpQ8QcAQGplcqtPTtIywIVT7cQfc/4AAO4wNt+vifl+kjQwMKDNmzdr8+bNkqTm5mZt3rxZBw4cUCQS0cc//nFt2LBBP/vZzxSNRtXa2qrW1laNjo6aDTzJfF6PZtYUSZJ2tvUbjgYAAOey98lpVYU8RJWlahMVf21U/AEAkBJ2q8/aDGz1yd1fBrBnG23Y3y3LsgxHAwBA6r2xP5H4Y76fJGnDhg1asmSJlixZIklauXKllixZom984xs6dOiQnn76aR06dEiLFy9WfX392J/169cbjjz5ZtcWSyLxBwDA6exsje+TsxL7JrKPXfHXOTCqaIyzIgAAkmkkHFXfcFiSVJOBFX/M+MsACyeXKpDjVefAqPZ0DI496Q4AQDZq7RvRwe5heT3xVp+Qrr766tM+/OOmB4OOJv4GDEcCAIBz2fvkHBJ/WauqKFdejxSNWeoaCGXkoSQAAE7Vnqj2y/N7VZKXeWk0Kv4yQCDHN3bw+Xozc/4AANltQ6La7/z6EhXn+Q1HA6eZXUurTwAAzmRXe3yftPdNZJ8cn1dVRfHWY620+wQAIKna+o/O9/N4PIajOXsk/jLExdMqJUmvNXcZjgQAgNSyZ9peRJtPnIRd8be3Y1CRaMxwNAAAOE8sZmlXouKPVp/Zrb40XuXX2kfiDwCAZLJn6NYWZ2ZFPYm/DHHJtPjh52t7mfMHAMhuG8bm+5UbjgRONKksXwW5Po1GY9rXNWQ6HAAAHOdQz7CGw1Hl5njVVFFgOhykUG2ivWcbFX8AACRVW6LVZ01JwHAkE0PiL0NcMKVcOV6PWoMjOtQzbDocAABSon8krG0tQUnS0iYq/nAir9ejWYl5x7to9wkAwAnsdtgzqouU4+PYJ5vV2RV/JP4AAEiq9uDRVp+ZiDvADJGf69PCyaWSpFf30u4TAJCdNuzrUcySplYWjB1kAH/Kblu2M9HGDAAAHLWT+X6uYR9GHqHVJwAASTXW6pOKP6SaPefv9eZuw5EAAJAa9sMtlyT2POBk7IPMnVT8AQBwgp2tduKP+X7Zro5WnwAApITd6pOKP6TcJdPjLc9e30fiDwCQnV5NPNxi73nAycweq/gj8QcAwJ+yK+JJ/GW/ervVJxV/AAAkVVt/fG+tKSbxhxS7sKlcXo+0v2uImzoAQNYZCEW09XCfJOmS6VT84dTsg8zmzkGNRmKGowEAwDmiMUt7OuzEH60+s11tqV3xFzIcCQAA2aV9rOKPVp9IsZI8v+Y2lEiSXmtmzh8AILts3N+jaMzS5PJ8TSrLNx0OHKy+NE/FgRxFYpb2dQ2aDgcAAMc40D2kUCSmPL9XjeUFpsNBitmtPgdCEfWPhA1HAwBAdhgIRTQQikiSamj1iXS4hDl/AIAs9Rrz/TBOHo9HsxJVDNtbafcJAIBtR2tQkjSrplher8dwNEi1wkCOigM5kpjzBwBAsrQn9tSiQI6KEvtspiHxl2EunpaY80fiDwCQZV5jvh/Owpy6eBcE+4ATAAAcfSBmTh3z/dyibmzOH+0+AQBIBruFdk2GtvmUSPxlnIumxg9Dd7UPqGuAmzoAQHYYGo3orYO9kqRLme+HcTi/Pn6guYOKPwAAxtj74nkk/lxjLPFHxR8AAElhV9HXFmdmm0+JxF/GqSjMHRvQ/cY+qv4AANlh0/5eRWKWGkrzNLmc+X44szm18QPNd4+Q+AMAwLZ9LPFXYjgSpEttYvYQrT4BAEiOI33xPbW+lMQf0sieffQa7T4BAFnitebEfL/plfJ4mEeDM7MPNA/3Dis4EjYcDQAA5g2PRrWva1ASrT7dpC6R+DvSN2w4EgAAskNrYk+tI/GHdLLn/L22l8QfACA72HvaJdOY74fxKS3wjz19t5N2nwAAaGdbvyxLqirKVXVx5s6kwdlhxh8AAMlFxR+MsA9F320Nqm+YJ9wBAJltJBzV5sR8v0uY74ezYM8v2k7iDwCAsfl+VPu5Sx2tPgEASCp7bm5daeaOoiHxl4FqSvI0rapQliVt3E/VHwAgs715oFej0ZhqigOaWllgOhxkkDmJdp/bW4OGIwEAwLx3E/sh8/3cZazij8QfAABJQcUfjLl4Ku0+AQDZgfl+mCi74m8HFX8AAFDx51K1iYq/zoGQwtGY4WgAAMhso5GYOgfi7bOZ8Ye0s+f8vbq3y3AkAACcG3sve8905vvh7JxXf7TVp2VZhqMBAMAcy7LGWl+fR+LPVSoLc+X3eWRZUns/c/4AADgX7f0jsizJ7/OooiDXdDgTRuIvQ71nRnwG0tuH+xQcYc4fACAzhSJRvXmgV5J0yTTm++HsTK8qUo7Xo/6RiFr6aG8FAHCvjoGQugdH5fVIs2pI/LmJ1+tRTXGi3Sf3QwAAnBN7Zm5tSZ683sztSkXiL0NNKsvX1MoCxSzpjWbafQIAMtNbB/sUisRUVRTQjOpC0+Egw+TmeDWzpkiStIM5fwAAF7PbfE6tLFR+rs9wNEg3uxVZG3P+AAA4J9kw308i8ZfRLp1RJUlav4d2nwCAzPRaos3nJdMqmO+HCbHnGL17hDl/AAD32p7YB+022DizVatWyePx6M477zQdyjmrK6HiDwCAZLD30rrSfMORnBsSfxns0kS7TxJ/AIBM9Vqiav0S5vthgs6rK5F0tNIBAAA3suf7zaktMRxJZnjjjTf08MMPa+HChaZDSYpaO/FHxR8AAOeEij8Yd+n0eOLv3SNBdQ+OGo4GAICzMxqJaeP+HknM98PEnZeo+NtOq08AgIvZ+6BdCY9TGxgY0M0336z//b//t8rLy02HkxT24SQVfwAAnJuxir8SEn8wpLo4oNm18bk2dqs0AAAyxZsHejQcjqqqKHdsPwPOlt3SbG/HoEKRqOFoAABIv0g0pl3tA5Kk82n1eUZ33HGHPvShD+mDH/yg6VCSpraUij8AAJLhSN+wpMyv+MsxHQDOzWUzqrSzbUDr93RpxYJ60+EAADBuf0y0qr50RhXz/TBhdSV5KsnLUXAkoj3tg5rbQIszAIC77Osa1GgkpoJcnxrLC0yH42hPPPGENm3apDfeeGNc7w+FQgqFQmMfB4PxyspwOKxwOJySGO3rns31qwrix3utfcMpiyvVJrLubMC6WbcbsG7WnUnsVp9VhTlntYZ0rPtsrk3iL8NdOqNSj67fp/V7Ok2HAgDAWXklsXddPoM2n5g4j8ej8+pL9Hpzt3a0BUn8AQBcx57vN7u2WF4vD1OdysGDB/U3f/M3Wr16tfLyxvcU/6pVq3Tvvfee8Prq1atVUJDaJOuaNWvG/d7OEUnKUUvPkJ555lll8jN1Z7PubMK63YV1uwvrzhwxS2oL+iR5tG3DerW8ffbXSOW6h4aGxv1eo4m/VatW6de//rW2b9+u/Px8XXbZZbr//vs1Z86csfdYlqV7771XDz/8sHp6enTJJZfohz/8oebNm2cwcud4z7RKeTzSno5BtQVHxgY6AwDgZIOhiN480CspXr0OnIvz6or1enO3th/pl5aYjgYAgPTafiSe+DuP+X6ntXHjRrW3t+vCCy8cey0ajerFF1/UD37wA4VCIfl8vuO+5q677tLKlSvHPg4Gg2psbNTy5ctVUpKah43C4bDWrFmjZcuWye/3j+trQuGo/vXN3ytieXTZ+z6o8oLclMSWShNZdzZg3e5b90MPPeTKdbv19826M2vd7f0hxV5dJ69Huukj1yrHN/5JeelYt915YDyMJv7WrVunO+64QxdddJEikYjuvvtuLV++XNu2bVNhYaEk6dvf/ra++93v6tFHH9Xs2bP1zW9+U8uWLdOOHTtUXMxNbWmBX/MaSrT1cFCv7u3SDYsnmQ4JAIAzen1ftyIxS5PL8zWlkpZUODdzEgeddsUDAABuYu9/c0j8ndYHPvABvf328Y/u33bbbTrvvPP01a9+9YSknyQFAgEFAoETXvf7/Sk/zDyb7+H3+1VRmKvuwVF1DUVVU5pZB63HSsfP1olYt7uwbndh3Zmjc3BQklRTnKf8vBP3//FI5brP5rpGE3/PP//8cR8/8sgjqqmp0caNG/Xe975XlmXpgQce0N13360bb7xRkvTYY4+ptrZWjz/+uL7whS+YCNtxLptRpa2Hg1q/m8QfACAzvJKY73c51X5IgvPq4k/c7yDxBwBwoR1t8ae/7f0QJ1dcXKz58+cf91phYaEqKytPeD0T1ZbkqXtwVK3BEZ1fz98FAADOlj3fr64087sqjr9WMQ36+vokSRUVFZKk5uZmtba2avny5WPvCQQCuuqqq7R+/XojMTrRpYnZSOv3MucPAJAZ/rg7vmddNpP5fjh3doVDa3BE3YOjhqMBACB9giNhHewelkSrT7erK4lXJrQlDi0BAMDZae2L31PVZ0Hiz2jF37Esy9LKlSt1xRVXjD1p1draKkmqra097r21tbXav3//Sa8TCoUUCoXGPrb7nobDYYXD4VSEPnbdVF3/TBZPKpbP69HB7mE1twc1uTw/Ld/X9LpNYd2s2w1YN+tOpZ6hUW07Et+fL5pSauznnY51u+3vkilFgRw1VRZof9eQ3j0S1OUzqSQFALiDPd+vvjRP5YWZN9fNtLVr15oOIWnqSuNnQUdI/AEAMCFHgtlT8eeYxN8Xv/hFbdmyRS+//PIJn/N4PMd9bFnWCa/ZVq1apXvvvfeE11evXq2CgtTOEFqzZk1Kr386jQU+7Rvw6OGn1uo9NVZav7fJdZvEut2FdbsL606tzV0eWZZPdfmW3njp92n5nqeTynUPDQ2l7No43tz6EhJ/AADXeTfxMNVcWju6Xl1J/JCyLUjiDwCAiWhNPDxDxV+SfOlLX9LTTz+tF198UZMnTx57va6uTlK88q++vn7s9fb29hOqAG133XWXVq5cOfZxMBhUY2Ojli9frpKS1NwIh8NhrVmzRsuWLTM2sHJ77i49uK5ZQ0WTdd11C9LyPZ2wbhNYt/vW/dBDD7ly3W79fbPu1K/7tf/aJumQli1q0nXXnZfy73cq6Vi33XkAqTe3vkTPbW3VthZ+5gAA97D3vbkNJP7crq403uqzlcQfAAATcnTGX3o6KqaS0cSfZVn60pe+pCeffFJr167VtGnTjvv8tGnTVFdXpzVr1mjJkiWSpNHRUa1bt07333//Sa8ZCAQUCAROeN3v96f8MDMd3+NUrpxVowfXNevV5m7l5OScsiIyFUyu2yTW7S6s211Yd2q92twjSbpyVrUjfs6pXLcT1ucW9oGn3UYWAAA32EbFHxLsQ8pWWn0CADAhdtU8FX/n6I477tDjjz+up556SsXFxWMz/UpLS5Wfny+Px6M777xT9913n2bNmqVZs2bpvvvuU0FBgT796U+bDN1xLmgqV67Pq7ZgSM2dg5peXWQ6JAAATtDaN6K9HYPyeqRLpleaDgdZ5PzEgefu9gGFIlEFcnyGIwIAILUi0Zh2tMVn/FHxh4bEIWVL77DhSAAAyDyWZR2t+CvJ/MSf1+Q3f/DBB9XX16err75a9fX1Y39+/vOfj73nK1/5iu68807dfvvtWrp0qQ4fPqzVq1eruLjYYOTOk+f36YKmMknS+j1dZoMBAOAU/ri7U5K0YFKpSvOphkPy1JfmqazAr0jM0q62AdPhAACQcns7BzUaiakw16fG8gLT4cCw+rJ4xV9wJKKBUMRwNAAAZJaeobBGIzFJUk3JiR0lM43RxJ9lWSf987nPfW7sPR6PR/fcc4+OHDmikZERrVu3TvPnzzcXtINdNqNKkrR+T6fhSAAAODn74ZTLZlYZjgTZxuPxjLU5o90nAMAN7Pl+59eXyOtN37gPOFNRIEfFefHGXkeo+gMA4Kwc6YvvnVVFuVnRQcho4g/JdfnMeMu09Xu6FI1ZhqMBAOB4lmWNPZxy+QwSf0g+u92nfRAKAEA2G5vvR5tPJDQk5vy1MOcPAICzYs/IrcuC+X4Sib+ssmhymYoDOeodCmvr4T7T4QAAcJzmzkEd6RtRrs+rC5vKTYeDLETFHwDATewHXez9D2goix9WUvEHAMDZOTrfL99wJMlB4i+L5Pi8unRGvOrv5d20+wQAOIvd5vOCpjLl52Z+2wQ4j13x8O6RoCyL7gcAgOxlWZbePXK01ScgHZ3z10LiDwCAs2JX/NVT8QcnunJWvHXaizs7DEcCAMDx7Dafl9HmEykyo7pIuT6v+kciOtTDgRcAIHu194fUNTgqr0eaU1dsOhw4REPisJJWnwAAnJ3WIK0+4WBXzKqWJG060KPBUMRwNAAAxEVjll5JVPzZM2mBZMvN8WpmTZEk2n0CALKb3eZzRnWR8vx0UkBcfWLG35E+HoACAOBsUPEHR5taWaDJ5fkKRy293txtOhwAACRJWw/3qWcorOJAjhZNLjMdDrKY3e7TPhAFACAb2Q+42PseIEkNiVafR3qp+AMA4GzYD81Q8QdH8ng8R9t97qLdJwDAGV5K7EmXzaxUjo/bD6TO3Pqjc/4AAMhW25jvh5NoKIsfVh7uHWbeMQAA42RZlo4kKv7qSkj8waGuTLT7fHlXp+FIAACIezGxJ9l7FJAq9gEorT4BANns3URl+1wSfziGXaUQisTUMxQ2HA0AAJkhOBLR0GhUEhV/cLDLZlTK45F2tQ/Q1x0AYFz/SFib9vdIkq6aTeJvIl588UVdf/31amhokMfj0W9+85vjPm9Zlu655x41NDQoPz9fV199td555x0zwRpmH4Ae6hlW3zAHXgCA7DMYiqi5a1ASFX84XiDHp6qiXElSSy/nQQAAjIedQykv8KsgN8dwNMlB4i8LlRXkamFifhJVfwAA017d261IzNLUygI1VhSYDicjDQ4OatGiRfrBD35w0s9/+9vf1ne/+1394Ac/0BtvvKG6ujotW7ZM/f39aY7UvNICvyYl5tvQ7hMAkI22t/bLsqSa4oCqiwOmw4HDjM3562POHwAA42E/LGPvodmAxF+WunJmfM7fSyT+AACGvbgzPt+PNp8Tt2LFCn3zm9/UjTfeeMLnLMvSAw88oLvvvls33nij5s+fr8cee0xDQ0N6/PHHDURr3twG5vwBALKXvb/Z+x1wrPpEizI6QAEAMD6He+MPy5D4g+NdMSue+Pvj7k7FYgx0BgCY89KueOLvvbT5TInm5ma1trZq+fLlY68FAgFdddVVWr9+vcHIzBmb89dC4g8AkH3sOba0+cTJ1JfGDy0P0+oTAIBxsSv+JmVR4i87GpbiBBdMKVdBrk9dg6N6tzWoeQ2lpkMCALjQga4h7esaUo7Xo/dMrzAdTlZqbW2VJNXW1h73em1trfbv33/KrwuFQgqFQmMfB4PxQ8RwOKxwOPmz8exrpuLaf2pOTbyl7NuH+9Ly/U4nnet2EtbtrnVL7l0762bdJmw93CtJmlNTmJZY0rFu0z/TbNJQlqj466XVJwAA43G01Wee4UiSh8RflsrN8eo90yv1h+3temlXJ4k/AIARLyaq/S5oKldxnt9wNNnN4/Ec97FlWSe8dqxVq1bp3nvvPeH11atXq6AgdbMY16xZk7Jr27pDkpSjnW1BPf3fzyrHAT0u0rFuJ2Ld7uPWtbNudzG57mhM2nbYJ8mjzp2b9OzB9H3vVK57aGgoZdd2G7vij1afAACMTzbO+CPxl8WunFWlP2xv18u7OvU/r5phOhwAgAuNtflMtKBG8tXV1UmKV/7V19ePvd7e3n5CFeCx7rrrLq1cuXLs42AwqMbGRi1fvlwlJclvHRYOh7VmzRotW7ZMfn9qk8CWZen/3b5WPUNhTVtyuRZMMvcAVDrX7SSs213rluJrf+ihh1y3drf+zlm3uXVvb+1X5LVXVBTI0S0fWyav99QP+SRLOtZtdx7AubMPLVuo+AMAYFxasnDGH4m/LHZl4pD19X3dGglHlef3GY4IAOAmkWhM63d3SZKunMV8v1SZNm2a6urqtGbNGi1ZskSSNDo6qnXr1un+++8/5dcFAgEFAoETXvf7/Sk9zEz19W3zJ5XqpV2d2t42pAummk88p2vdTsO63ceta2fd7mJy3dvbBiVJ8xpKFAjkpvV7p3Ldbvx7lCp2m7LW4IiiMUu+NCSHAQDIVJFoTK3BeOIvm2b8OaDxEVJlRnWR6kryNBqJ6fXmbtPhAABcZvPBXvWHIiov8Gu+wYqrbDAwMKDNmzdr8+bNkqTm5mZt3rxZBw4ckMfj0Z133qn77rtPTz75pLZu3arPfe5zKigo0Kc//WmzgRtktznf2tJnOBIAAJLnnZZ4ZRz3VjiVmuI8+bweRWOWOvpDZ/4CAABcrL0/pGjMkt/nUXXRiQ9HZyoSf1nM4/GMVf3ZrdYAAEiXF3d1SpIun1nFk8bnaMOGDVqyZMlYRd/KlSu1ZMkSfeMb35AkfeUrX9Gdd96p22+/XUuXLtXhw4e1evVqFRcXmwzbKLu95zuHSfwBALLH1sS+ZrKNNZzN5/Wotjh+cNnCnD8AAE7Lnu9XV5qXlhbq6ULiL8tdOTveWu3FnZ2GIwEAuM2LO+35frT5PFdXX321LMs64c+jjz4qKf6wzz333KMjR45oZGRE69at0/z5880Gbdj8SfE5he+29iscjRmOBgCAcxeNWcdU/CV/Hi+yhz2j6Ahz/gAAOK3DicRfQ2n2tPmUSPxlvStnVsnrkXa09Y9lrwEASLXeoVFtOdQrSbpytvn5anCfKRUFKs7L0Wgkpl1tA6bDAQDgnDV3Dmg4HFW+36dpVUWmw4GD1ScSf5wDAQBwei292TffTyLxl/XKC3O1uLFMkrR2B+0+AQDpsX5Pl2KWNKumSPVZ9tQUMoPH49G8hng1BHP+AADZYOvheLXf3IYS2qjjtBpK8yTR6hMAgDOxH5JpIPGHTHP1nBpJ0tod7YYjAQC4xVibz9m0+YQ5zPkDAGQT5vthvOoTiT9afQIAcHok/pCx3pdI/P1xd6dGI8y4AQCklmVZY4m/K2bR5hPmzE8cjL5N4g8AkAXs/cyuaAdOxW71eYSKPwAATmtsxl9ZnuFIkovEnwvMayhRVVGuBkej2rCv23Q4AIAst7NtQC19IwrkeHXp9ErT4cDF5jXEE3/bjgQVjVmGowEAYOJiMUvbWuKtPudT8YczsOcUHabiDwCA07Ir/pjxh4zj9XrGWq2t3cmcPwBAar2QaC192YxK5fl9hqOBm02rKlRBrk8j4Zj2dgyYDgcAgAk70D2k/lBEuTlezawpMh0OHM5u9dk5EFIoEjUcDQAAztQ/ElZwJCLpaLV8tiDx5xJ2u88XtjPnDwCQWn9I7DXvO6/GcCRwO5/XM9YObWsL7T4BAJnL3sfOry+R38dRDk6vojBXgZz435O2vpDhaAAAcKYjffHK+NJ8v4oCOYajSS7uFl3iyllV8nqkXe0DY31rAQBItr7hsDbu75F09KETwCS73efbh4KGIwEAYOLs+X7zme+HcfB4PGNVfy3M+QMA4KTsPIm9Z2YTEn8uUVaQqyVTyiVJa3dQ9QcASI2XdnUoGrM0s6ZIjRUFpsMBxuYgUfEHAMhk7xxmvh/OTkOiZVkLD38DAHBS2TrfTyLx5yrvmxOf8/fCdub8AQBSw95j7D0HMG3+pHhlxLaWoGIxy3A0AACcPcuyxh5gmd9A4g/jU18aP8S025gBAIDj2Ym/BhJ/yGRXJ1qurd/TyXBnAEDSxWKW1u1kvh+cZWZ1kQI5Xg2EItrfPWQ6HAAAztrh3mH1DoXl93k0u67IdDjIEJPK4m3LDvVQ8QcAwMm09MYfjiHxh4w2t75E1cUBDY1GtWFfj+lwAABZ5u3DfeocGFVRIEdLmypMhwNIknJ8Xp1fH6/6s+cjAQCQSbYm9q/ZtcUK5PgMR4NMMbk83nb/MK0+AQA4qcNjFX/M+EMG83o9umq23e6TOX8AgOR6ITFD9spZVcrN4RYDzmG3+3z7UK/ZQAAAmIAth2jzibM3qTxevXCoh44HAACcDDP+kDWuTsxcWruTOX8AgOR6YYc93482n3CWhZPLJB09OAUAIJPYFesLG0n8YfwmJxJ/h3uGZVnMOQYA4FjRmKXWPlp9IktcObNaPq9Hu9sHdJA5NwCAJOkcCGlLoprKfsgEcIpFicTf1sN9isY4+AIAZA7LssYeXLH3M2A86kvz5fFIoUhMnQOjpsMBAMBROvpDisQs+bwe1RQHTIeTdCT+XKa0wK8LppRJouoPAJA863Z0yLLiLRVrSrKvNzoy28yaIhXk+jQ4GtXejgHT4QAAMG77u4bUNxxWbo5Xc+qKTYeDDJKb41Vtcfy+nDl/AAAcz94b60rylOPLvjRZ9q0IZ3R1ogUbc/4AAMnyh8R8P9p8wol8Xs/YXKS3aPcJAMggbyU6KsytL5E/Cw+lkFrM+QMA4OSO9MUTfw1l2fnwOneNLvT+8+KHsn/c3anh0ajhaAAAmS4SjenFRBX51ST+4FALJscTf3ZLWgAAMoHd5nPhZOb74ewdO+cPAAAc1dJrJ/6yb76fROLPlc6rK9aksnyFIjG9vLvTdDgAgAy36UCv+kciKi/wa3FjmelwgJOyD0yp+AMAZBL7gZWFzPfDBEwqsyv+SPwBAHCslt4RSST+kEU8Ho8+eH68IuN329oMRwMAyHR/SLSOvmp2tXxej+FogJNblDgwfbclqNFIzGwwAACMQyQa09bDQUnSIir+MAGTywskMeMPAIA/dZiKP2SjD86tlST9fnu7YjHLcDQAgExmz4x933m0+YRzNVUWqDTfr9FoTDta+02HAwDAGe3uGNBwOKrCXJ+mVxeZDgcZiBl/AACcnN0Gu6GUGX/IIpdMq1RRIEedA6GxYeEAAJytg91D2tHWL5/Xo6tmV5sOBzglj8dzTLvPXrPBAAAwDlsOxttTz59USlcFTMixM/4si4e+AQCwHUw8FNNYUWA4ktQg8edSuTnesQPa37/bbjgaAECmWp1oGX3R1HKVFeQajgY4PTvxt4XEHwAgA9gPqixihjImyJ7xNzgaVe9Q2HA0AAA4Q99wWP0jEUlHH5LJNiT+XOyDcxNz/t5lzh8AYGLsWbHL5tYZjgQ4s4WJOX9bDvWZDQQAgHGw96uFzPfDBOX5faoqCkhizh8AADa7BXZlYa4KcnMMR5MaJP5c7OrZNfJ6pO2t/TrYTb93AMDZ6R0a1ev7uiVJy86vNRwNcGaLEom/nW39GhqNmA0GAIDTCEWi2t4alHR0/wImgjl/AAAc72B3/GGYbK32k0j8uVp5Ya6WTq2QJP2eqj8AwFl6YUe7ojFLc2qLNaUyO3uiI7vUleappjigmCVtawmaDgcAgFPafqRf4ail8gJ/Vh9KIfUmjyX+qPgDAEA6+jDM5Cyd7yeR+HO9D54fb/f5++3M+QMAnJ3fbYvvHcvmUu2HzGG3+3yLdp8AAAez59EunFwmj8djNhhktMllJP4AADiWvSdm88NVJP5c7oOJ1myv7u1S/wiDngEA4xOKRLV2Rzzx90ESf8ggixJzkuwDVQAAnMh+QGUR8/1wjuxDTWb8AQAQdzTxR8UfstT06iJNrypUOGrpxZ2dpsMBAGSIV/Z0aXA0qprigBZO4kAKmWPBWOKPij8AgHPZD6gsYL4fzpE94+8wFX8AAEg62uqzkYo/ZDO7UuN3zPkDAIyTvWd8cG6tvF7aTyFz2K0+mzsH1TdMtwMAgPMMhiLa3T4giYo/nDu7msE+5AQAwM0sy6LiD+7wgfPic/5e2NGuSDRmOBoAgNNZlnV0vt/5tPlEZqkozNWUxADvtw72mg0GAICTePtwn2KWVFeSp5qSPNPhIMNNSsz4C45EFGTECwDA5fqGwxoIRSQx4w9Z7sKmcpUV+NU7FNbG/T2mwwEAONzbh/vUGhxRQa5Pl86oNB0OcNYWN5ZJkjaT+AMAONCbB3olSUumlBmNA9mhMJCj8gK/JNp9AgBwsDu+F1YVBZTn9xmOJnVI/EE5Pq/ePyde9Ue7TwDAmfxuW3yvuGp2dVbfJCF72QepJP4AAE60+WD8gVwSf0gW5vwBABA3Nt+vInur/SQSf0iw5/yt3tYmy7IMRwMAcLLVicTfB2nziQy1ZEq5JOnNAz3c9wAAHMWyLG0aq/grNxsMssbkMub8AQAgyRXz/SQSf0i4ana1Ajle7e8a0vbWftPhAAAc6mB3fJ/weT16f2JGLJBp5taXKDfHq56hsPZ3cQAGAHCOlr4RdfSHlOP1aH5DqelwkCXsGUaHe6n4AwC428HEQzDZPN9PIvGHhMJAjt47u1qS9PzWVsPRAACcym4JvbSpXOWFuYajASYmN8ereQ0lkqQ3DzLfGADgHG8eiO9L59UXKz+XlupIDrvV5yFafQIAXM7eCxup+DvR+9//fvX29p7wejAY1Pvf//5zjQmGXDuvThKJPwDAqa1JtPlcNpc2n8hsSxrtdp+9ZgMBAOAY9r5k71NAMtjtzKj4AwC43SEq/k5t7dq1Gh0dPeH1kZERvfTSS+ccFMz44Pm1yvF6tKOtX3s7BkyHAwBwmO7BUb3W3C2JxB8y35IpZZKkzQd7jcYBAMCx7H3J3qeAZJhURsUfAACWZR0z44/E35gtW7Zoy5YtkqRt27aNfbxlyxa9+eab+slPfqJJkyalJFCkXmmBX5fOqJQk/fadNsPRAACcZs22VkVjlubWl6ipstB0OMA5sQ9Ut7UENRKOmg0GAABJo5GY3j7cJ0laMoWKv2R78MEHtXDhQpWUlKikpESXXnqpnnvuOdNhpYXd6rN7cFRDoxHD0QAAYEZ8H4z///9JWZ74yzmbNy9evFgej0cej+ekLT3z8/P1/e9/P2nBIf2unV+nl3Z16vl3WvXXV88wHQ4AwEGeS7SCvm5BneFIgHM3qSxfVUUBdQ6EtPVwn5ZOrTAdEgDA5d49EtRoJKayAr+mVmb33BkTJk+erH/7t3/TzJkzJUmPPfaYbrjhBr355puaN2+e4ehSqzTfr+K8HPWPRHS4Z1izaotNhwQAQNrZ1X61JQEFcrJ7lvJZVfw1Nzdrz549sixLr7/+upqbm8f+HD58WMFgUJ///OdTFSvSYNncWnk80lsHe9VC73cAQELfcFh/3N0pSbp2fr3haIBz5/F4xqr+mPMHAHCCNw/0SJIWN5bJ4/EYjib7XH/99bruuus0e/ZszZ49W9/61rdUVFSkV1991XRoaWHP+TuYmG0EAIDbHG3zmf0PWJ1VxV9TU5MkKRaLpSQYmFdTnKelTeV6Y1+PVr/Tqs9dPs10SAAAB/j9u20KRy3NqinSzJoi0+EASbFkSpnWbGtjzh8AwBHG5vs10uYz1aLRqH7xi19ocHBQl1566SnfFwqFFAqFxj4OBoOSpHA4rHA4nJLY7Osm+/qTy/L07pGg9nUMKDzDeZ0OUrVup2PdrNsNWDfrdop9nf2SpEmleUmPLx3rPptrjzvx9/TTT4/7oh/5yEfG/V44zzXz6vTGvh49T+IPAJBgt/lcsYBqP2QP+2DVrrAAAMCkN+3EX6IiHcn39ttv69JLL9XIyIiKior05JNPau7cuad8/6pVq3Tvvfee8Prq1atVUJDaaoE1a9Yk9XqRXq8kr17ctE2V3VuTeu1kSva6MwXrdhfW7S6s2znW743vhSNdh/XsswdT8j1Sue6hofFX7Y878ffRj370uI89Ho8syzruY1s0Gh13AHCea+bV6ZvPvKvXm7vVNRBSZVHAdEgAAIMGQxG9uLNDkrRiPvP9kD0WTi6V1yO19I2otW9EdaV5pkMCALhU10BI+7vihzmLGsvMBpPF5syZo82bN6u3t1e/+tWvdOutt2rdunWnTP7dddddWrly5djHwWBQjY2NWr58uUpKSlISYzgc1po1a7Rs2TL5/f6kXbfntQN64b+3K6e0VtddtyRp102WVK3b6Vi3+9b90EMPuXLdbv19s25nrfvX/75JauvUVUvn67qlk5N67XSs2+48MB7jTvwd297zd7/7nb761a/qvvvu06WXXiqPx6P169frn/7pn3TfffedXbRwnMaKAs2fVKKth4P63btt+uRFU0yHBAAw6IUd7QpFYppaWaDz6opNhwMkTWEgR7Nri7W9tV+bD/bo2lIqWgEAZthtPmdUF6o031mHZNkkNzdXM2fOlCQtXbpUb7zxhr73ve/poYceOun7A4GAAoETH4b2+/0pP8xM9veYWh2/jz/UO+K4g9hjpeNn60Ss211Yt7uwbuc41Buf8Te1ujhlsaVy3WdzXe9EvsGdd96p733ve7rmmmtUUlKi4uJiXXPNNfrud7+rL3/5yxO5JBzm2nnxig67tRsAwL2ee/tom89jK/yBbLBkSqLdJ3P+AAAGjc33m8J8v3SyLOu4GX7ZbEpFvDXpge6h4zp4AQDgBpZl6VBPPPE3uTzfcDSpN6HE3549e1RaWnrC66Wlpdq3b9+5xgQHuDbRyu2PuzsVHHHeIE4AQHqMhKN6YUe7JNp8IjvZc5TePNBrNA4AgLvZ+xDz/VLna1/7ml566SXt27dPb7/9tu6++26tXbtWN998s+nQ0mJSeb48HmloNKquwVHT4QAAkFadA6MKRWLyeKT6UhJ/J3XRRRfpzjvv1JEjR8Zea21t1d/93d/p4osvHvd1XnzxRV1//fVqaGiQx+PRb37zm+M+/7nPfU4ej+e4P+95z3smEjLO0syaYs2oLlQ4aumF7e2mwwEAGLJuZ4eGRqOaVJavBZNOfOgHzhCJRPRP//RPmjZtmvLz8zV9+nT9y7/8y3Gt2nFyFyQOWLcc6lU4ys8LAJB+0Zg1VvG3mPl+KdPW1qZbbrlFc+bM0Qc+8AG99tprev7557Vs2TLToaVFIMen+pL4POMD3UOGowEAIL0O9cT3vrqSPOXmTCgtllHGPePvWP/n//wffexjH1NTU5OmTInPfztw4IBmz559QvLudAYHB7Vo0SLddttt+rM/+7OTvufaa6/VI488MvZxbm7uRELGBFw7v04/fGGPnn37iG5YPMl0OAAAA55PtHy+dn4dbT4d7P7779ePf/xjPfbYY5o3b542bNig2267TaWlpfqbv/kb0+E52vSqIpXm+9U3HNa2lqAWceAKAEizHa39GghFVJjr05xa5imnyk9+8hPTIRjXWFGglr4RHewe0gW0lQUAuMjBRJvPxvICw5Gkx4QSfzNnztSWLVu0Zs0abd++XZZlae7cufrgBz94VoeCK1as0IoVK077nkAgoLo6WouZcN2Cev3whT16YUeH+kfCKs5z1jBOAEBqhSJR/W5bmyTpugXsxU72yiuv6IYbbtCHPvQhSdLUqVP1H//xH9qwYYPhyJzP6/XogillemFHhzbs7yHxBwBIu437uyXF5/vl+LL/CXSYM6WiQK81d+tAFxV/AAB3sSv+Jrlgvp90lq0+P/3pT+s///M/FQwG5fF4tHz5cn35y1/W3/zN32jZsmUpqQRYu3atampqNHv2bP3lX/6l2ttpO5kuc+tLNL2qUKORmH73bpvpcAAAabZ+d5f6QxHVlgS0pJEngp3siiuu0O9//3vt3LlTkvTWW2/p5Zdf1nXXXWc4ssywdGqFpKMHrwAApNPG/T2SpAubuN9Cak2piFc50OoTAOA29kMv9l6Y7c6q4m/OnDm6//779dnPflbvfe97dcMNN+gjH/mIGhsbUxLcihUr9IlPfEJNTU1qbm7W17/+db3//e/Xxo0bFQgETvo1oVBIoVBo7ONgMChJCofDCofDKYnTvm6qrm/Sivm1+uHavXp682F9eH7tcZ/L5nWfDutm3W7Aulm3JD2zpUWStOz8GkWjEUWjaQ8tpdLx+07X36WvfvWr6uvr03nnnSefz6doNKpvfetb+tSnPnXKr0n3PZOT/30tmhRvq7ZhX49GR0eT+jCbk9edSqzbXeuW3Lt21s26k2HDvviDJ4snlzjyZ5pN90xuN6WSxB8AwJ32k/g7tX/+53/WP//zP+vQoUN6+umn9dRTT+nv/u7vNHfuXH3kIx/RDTfcoCVLliQtuE9+8pNj/33+/PlaunSpmpqa9Mwzz+jGG2886desWrVK99577wmvr169WgUFqf2lrlmzJqXXN6F4SJJy9OLODv3y6WdVcJK/Mdm47vFg3e7Cut2FdUuRmPTsWz5JHpX179OzzzabCyzFUvn7HhpKz6HKz3/+c/30pz/V448/rnnz5mnz5s2688471dDQoFtvvfWkX2PqnsmJ/75Go5LX41N7f0g/ffI5VeYl/3s4cd3pwLrdx61rZ93uksx1941Kh3pz5JGl9m2v6dmdSbt00mXDPZPb2YedB0n8AQBcxn7opamSxN8pTZ48Wbfffrtuv/129ff367nnntNTTz2lD3zgAyouLtb111+vv/7rv9a8efOSGmx9fb2ampq0a9euU77nrrvu0sqVK8c+DgaDamxs1PLly1VSUpLUeGzhcFhr1qzRsmXL5Pdn3xy8Xx35o3a1D8ozeZGuu2DS2OvZvu5TYd3uW/dDDz3kynW79ffNuuPrfmFHh4Zee1M1xQF98ZPvlc+b/HbepqXj921X0aXaP/zDP+gf//Ef9ed//ueSpAULFmj//v1atWrVKRN/6b5ncvq/r//b8qq2HAqqZMYSXbeoPmnXdfq6U4V1u2vdEvdMrNsdUrHu57a2Shu3aE5diW78yKVJuWayZdM9k9vZib8jwRGFIlEFcnyGIwIAIPVCkaha+oYlHa1+z3YTSvwdq7i4WDfddJNuuukmRaNRrVu3Tk899ZReeeWVpCf+urq6dPDgQdXXn/owJhAInLQNqN/vT/n/IUnH9zDh+kWT9N01O/XcO+3680umnvD5bF33mbBud2Hd7sK6pWe3xme7fmhhvfICuSbDSrlU/r7T9fdoaGhIXu/xo5t9Pp9isdgpv8bUPZNT/31dNLVSWw4FtflQnz6+dErSr+/Udaca63Yft66ddbtLMtf95qF4wuuiqRWO/1lmwz2T21UU5qow16fB0agO9wxrenWR6ZAAAEi5Qz3DsiypINen6qKTj5DLNt4zv+VE77zzzklf9/l8Gh0d1fe+9z39j//xP854nYGBAW3evFmbN2+WJDU3N2vz5s06cOCABgYG9Pd///d65ZVXtG/fPq1du1bXX3+9qqqq9LGPfWwiYWOCPrwwnmj94+5O9QyOGo4GAJBqw6NRrdkWT/xdv6jBcDQYj+uvv17f+ta39Mwzz2jfvn168skn9d3vfpd7prOwtKlcUnzOHwAA6bJpf3zfWTq13HAkcAOPx6PGRNXfftp9AgBc4sAx8/08nuzraHUyE0r8LV26VN///vePey0UCumLX/ziWR0wbdiwQUuWLBmbC7hy5UotWbJE3/jGN+Tz+fT222/rhhtu0OzZs3Xrrbdq9uzZeuWVV1RcXDyRsDFB06uLNLe+RJGYpeffaTUdDgAgxV7Y0a7B0agmleVrSWOZ6XAwDt///vf18Y9/XLfffrvOP/98/f3f/72+8IUv6F//9V9Nh5YxLkwk/na09Ss4EjYcDQDADYZHo3qnJV7xZ+9DQKox5w8A4Db2fD97D3SDCbX6/NnPfqa/+qu/0rPPPqtHHnlEra2t+vSnPy1J+uMf/zju61x99dWyLOuUn//tb387kfCQAh9eVK9tR4L67y0t+tTFyW9/BQBwjv96q0VSvNrPLU9CZbri4mI98MADeuCBB0yHkrFqSvLUWJGvg93DevNAr66aXW06JABAltt8sFeRmKW6kjxNKss3HQ5cwj70tKsfAADIdvsTe16TS+b7SROs+Lvxxhu1ZcsWRSIRzZ8/X5deeqmuvvpqbdy4URdccEGyY4QDfHhBvNXbK3u61NEfMhwNACBV+kfC+v32dknSR2jzCZdZ2lQhSdq4n3afAIDU27i/W5J04dRyHrZC2kxJHHoeoOIPAOASB7oHJUlTKgsNR5I+E0r8SVI0GtXo6Kii0aii0ajq6uoUCLhjMKIbTaks0KLJpYpZ0vNbj5gOBwCQImu2tWk0EtOM6kKdX09rbbiL3WbNPogFACCV7AdNLpxCm0+kjz3jj8QfAMAtxir+XNTqc0KJvyeeeEILFy5UaWmpdu7cqWeeeUYPP/ywrrzySu3duzfZMcIhPrwwXvnxX1tI/AFAtqLNJ9xs6dT4weubB3oVicYMRwMAyGaxmDWW+LP3HyAdjp3xd7rxOwAAZINYzBp72IVWn2fwF3/xF7rvvvv09NNPq7q6WsuWLdOWLVs0adIkLV68OMkhwik+tLBekvTGvm61BUcMRwMASLaeoVG9tKtT0tGHPQA3mV1TrOK8HA2NRrW9td90OACALLa7Y0DBkYjy/T6dX19iOhy4yKSyfHk80uBoVN2Do6bDAQAgpdr7QwpFYvJ5PWpw0UzlCSX+Nm3apL/+678+7rWKigr953/+p374wx8mJTA4T0NZvi5sKpdlSc9Q9QcAWee377QrErM0t75EM2uKTIcDpJ3X69EFiXZrG/bR7hMAkDob9sWr/RY3lsnvm/AUFuCs5fl9qivJk0S7TwBA9tvfFZ/vN6ks31X3XDnjfePKlSvHfdFbbrllQsHA+a5fWK+N+3v01FstuuWSyabDAQAk0TNvxx/quH4R1X5wrwubyrVuZ4c27O/R5y6fZjocAECW2pCYJ2vPlwXSqbGiQEf6RnSge0hLmDEJAMhi+13Y5lM6i8Tfm2++edzHGzduVDQa1Zw5cyRJO3fulM/n04UXXpjcCOEoH1rYoH995l29dbBXzZ2DpsMBACRJ36j0WuLJ8w8nWjsDbnTxtApJ8dbmlmUx6xIAkBKvN8cTf/a+A6TTlIoCvd7crYNU/AEAstyBrvheZ8+4dYtxJ/5eeOGFsf/+3e9+V8XFxXrsscdUXh5/Mqinp0e33XabrrzyyuRHCceoLg7oyllVWrujQ0+/dUSzTAcEAEiKzV0eWZZ0wZQyNbrsZgg41uLGMuX6vGoLhrS/a0hTqwpNhwQAyDKHe4d1qGdYPq9HF1DxBwPsw09afQIAsp1bK/4m1NT0O9/5jlatWjWW9JOk8vJyffOb39R3vvOdpAUHZ/rYkkmSpKfeOiLLMhwMACApNnbGbwlo8wm3y/P7tKixVNLRagwAAJLpjcT+Mr+hREWBcT+PDSQNiT8AgFscSMz4c1vF34QSf8FgUG1tbSe83t7erv7+/nMOCs62bG6tCnJ9OtgzrH0DpqMBAJyr5s5B7R/wyOuRPkSbT2Cs7dprJP4AACnwGm0+YZjd4eNg97DhSAAASC274m9Khbu6+Uwo8fexj31Mt912m375y1/q0KFDOnTokH75y1/qL/7iL3TjjTcmO0Y4TEFujq6dXydJeqNjQn+FAAAO8pvNRyRJV86sUk1xnuFoAPMunlYpSXp9X5fhSAAA2ej15vj+Yu83QLrZVQ8tfcMKRaKGowEAIDX6hsPqHQpLkqbQ6vPMfvzjH+tDH/qQPvOZz6ipqUlNTU26+eabtWLFCv3oRz9KdoxwILvd55tdHo1GYoajAQBMVCxm6em3WiRJNyym2g+QpAubyuX1xJ+Cb+nlSXgAQPJ0DoS0p2NQHo900VTm+8GMqqJcFQVyZFnSQdp9AgCylL3H2fuem0wo8VdQUKAf/ehH6urq0ptvvqlNmzapu7tbP/rRj1RY6K6SSbe6bEaVqotyNRTx6KVdnabDAQBM0Bv7unWod0QBn6UPnldjOhzAEYoCOZo/KT7n7419tPsEACSPPd9vTm2xygpyDUcDt/J4PJpaFa98aO4k8QcAyE77u+w2n+6q9pMmmPizFRYWauHChVq0aBEJP5fxeT26PjEH6qm3jhiOBgAwUU++eViStLjCUn6uz3A0gHNcPJU5fwCA5LP3lUuY7wfDmirj53j7OgcNRwIAQGrs747vcfae5yYMaMOEfWRRPPH3+x0dCo6EDUcDADhbI+GontkSf3jjomrLcDSAs1ycOJB9ncQfACCJ7MQf8/1g2rTEIWhzF4k/AEB2OkDFH3D25tYXqy7f0mgkpuffbjUdDgDgLP3u3Tb1hyJqKM3TjBISf8CxLkpU/O1uH1DnQMhwNACAbNA3FNb21qAk6aJpzPeDWVOr4om//ST+AABZym712VRJ4g8YN4/Ho6XVMUlHW8UBADLHrzfF/7f7hkX18noMBwM4THlhrs6rK5YkbWDOHwAgCTbs75ZlSdOrClVTnGc6HLjctMSMv33M+AMAZKkD3ST+gAm5sCpeIfJqc5daeocNRwMAGK/OgZDW7eyQJN2wuMFwNIAz2e0+mfMHAEiG18fafDLfD+ZNTbT6bOkb1kg4ajgaAACSKxSJqqUvnq+YUsGMP+CsVASki6eWy7Kk32ym6g8AMsXTm1sUjVlaNLlUM6rddwMEjAdz/gAAyWQ/SHLJdBJ/MK+iMFfFeTmyrKMVEQAAZItDPcOyLKkg16eqolzT4aQdiT+cs48urpck/XLjIVkWM6IAIBPYLZpvvGCy4UgA57o4Medv25GggiNhw9EAADLZYCiirYf7JEkXT6s0HA0QH98yLTHnr7mTOX8AgOxiz7CdUlEgj8d9821I/OGcrZhfp3y/T3s7BrXpQI/pcAAAZ7CrrV9vH+5Tjtej6xfR5hM4lZqSPE2rKpRlMecPAHBuNh3oUSRmaVJZviaV5ZsOB5AkNSXafe4j8QcAyDJ7O+J724zqIsORmEHiD+esKJCj6xbEq/5+seGQ4WgAAGfy60S139VzalRR6L52B8DZuCTR7vPVvST+AAAT9+reLklH9xXACaZVFkiS9nWR+AMAZBe7mn1qVYHhSMwg8YekuGlpvFXcf73VoqHRiOFoAACnEonG9OtN8Yc0/uyCSYajAZzv0hnxdmzr93QajgQAkMnW74kn/ux9BXCCqVV2xR8z/gAA2cVO/E2rouIPmLCLp1VoamWBBkejevbtVtPhAABO4cVdHWoLhlRRmKsPnF9rOhzA8S6dHj+gfaclqL4h5vwBAM7eQCiiLYfi8/1I/MFJxhJ/VPwBALLMvrHEX6HhSMwg8Yek8Hg8+sTSRknSf244aDgaAMCpPPF6/H+jP7ZkknJzuA0AzqSmJE8zquNz/l5t7jIdDgAgA73R3K1ozNKUigJNLndnuyk407TEjL8jfSMaHo0ajgYAgOQYHo2qpW9EkjSdxB9wbm68YJK8Hun15m4GQwOAA3X0h/SH7e2SpE9e1Gg4GiBzXDajSpL0yh4SfwCAs2e3i76Maj84THlhrkrz/ZKk/d2c4wAAsoNdyV5W4Fd5Ya7haMwg8YekqS/N15WzqiVJv9x4yHA0AIA/9etNhxSJWVrcWKbZtcWmwwEyhn1QS+IPADARr+xlvh+c6+icPxJ/AIDs0OzyNp8SiT8k2U2Jdp+/3HhI0ZhlOBoAgM2yLP38jXibzz+n2g84K5ck5vztaOtXR3/IcDQAgEzSOzSqd1qCko7OjQWcZGplvP1sc+eQ4UgAAEgOEn8k/pBkH5xbo7ICv1qDI3ppV4fpcAAACRv292hv56AKcn368KIG0+EAGaWiMFfn15dIkl7dS9UfAGD8Xt3bLcuSZtYUqaYkz3Q4wAmmVlLxBwDILns74nuaW+f7SST+kGSBHJ8+uniSJOkXG2j3CQBOYVf7fWhBvYoCOYajATLPWLtPEn8AgLNgPzDCfD84lV0NYc9DAgAg0zV3Dkg62s7ajUj8Iensdp9rtrWpZ3DUcDQAgP6RsJ7ZckSS9EnafAITYrdnY84fAOBsrN/TKYk2n3CuqST+AABZhlafJP6QAnMbSjR/UolGozH9ZvNh0+EAgOv911tHNByOanp1oS5sKjcdDpCRLp5eIa8n/n8gjvQNmw4HAJABOvpD2tkWf+L8PST+4FDTEq0+24IhDY1GDEcDAMC56R0aVc9QWNLRdtZuROIPKWFX/f3H6wdkWZbhaADA3X6+Id7m888vapTH4zEcDZCZSvL8WjCpVBJVfwCA8bHbfJ5fX6LywlzD0QAnV1rgV3mBX5K0r3PIcDQAAJwbu9qvriRPhS4edUPiDynx0SWTlO/3aWfbgDbs7zEdDgC41o7Wfr11sFc5Xo9uvGCy6XCAjHbpjCpJ0noSfwCAcbD3C+b7welo9wkAyBa0+Ywj8YeUKMnz64bFDZKkn72633A0AOBeP38jXu33gfNrVFUUMBwNkNnsg9tX9nTR0QAAcEavJOb7kfiD09mt0OzDUgAAMtVY4q+axB+QEjdf0iRJevbtVnUPjhqOBgDcZ3g0ql9tOiRJ+vOLphiOBsh8S6eWy+/z6HDvsPZ30QoLAHBqh3uHta9rSF6PdNG0CtPhAKdlJ/72U/EHAMhwexOJv+lU/AGpsWByqRZMKtVoNKZfbjxoOhwAcJ3/2tKivuGwJpfn672zq02HA2S8gtwcLZlSLkl6aXen4WgAAE728q4OSdKixjKV5PkNRwOcnl0VsbeDxB8AILM1d9DqUyLxhxS7+ZJ4hcnjrx1QLEZLLABIJ7vV8qcvmSKf12M4GiA7XDkzPufPPtAFAOBkXtoVf0DE3jcAJ5thJ/5o9QkAyGCWZTHjL4HEH1Lq+kUNKg7kaF/X0NhgcwBA6m051Ku3DvUp1+fVTUsbTYcDZI0rE9Wz6/d0KRKNGY4GAOBEsZilPyYqw6+k6wIywPSqIklS9+Aoo1oAABmrLRjScDgqn9ejxooC0+EYReIPKVUYyNHHLpgkSfrZa/sNRwMA7vHTRLXfigV1qioKGI4GyB4LJpWqNN+v/pGI3jrUZzocAIADvdMSVM9QWEWBHC1uLDMdDnBG+bk+TSrLlyTt6RgwHA0AABOztzO+hzWW58vvc3fqy92rR1p8OtHuc822NrUHRwxHAwDZr28orKffapEk3fKeJsPRANnF5/Xo8pmVkqSXdzHnDwBwopd2x9tBv2d6pesPnZA5ZtTEq/72tJP4AwBkpn2dQ5Jo8ymR+EManFdXoqVN5YrELP3nhoOmwwGArPfLTYc0Eo7pvLpiXdhUbjocIOtcMTPetu0l5vwBAE7ipZ2JNp+zmO+HzGHP+aPiDwCQqZoTFX/TEi2s3YzEH9Li5vfEq/7+4/WDisYsw9EAQPayLGustfJn3tMkj8djOCIg+9gHuW8e7FX/SNhwNAAAJxkejWrj/h5JJP6QWWZUJyr+OgYNRwIAwMQ0d8b3sGnVVPyR+ENarJhfr7ICvw73DmvtjnbT4QBA1nplT5f2dgyqMNenjy6ZZDocICs1VhRoamWBojFLr+7tNh0OAMBBXmvu0mg0pkll+bSZQkY5mvij4g8AkJn2JhJ/07kHI/GH9Mjz+/TxCyZLkv79lf2GowGA7PV/X43/b+yNF0xWUSDHcDRA9roiUcVBu08AwLFeSsx/vWJmFZ0XkFFm1MQPSQ92D2kkHDUcDQAAZyccjelAV3zG31QSfyT+kD6fvXSqPB5p3c4O7WZYNAAkXVtwRKu3tUmKt/kEkDpXzorP+Xs5ccALAIB0dF+4cjZtPpFZqosCKsnLUcyS9icOTgEAyBT7u4YUiVkqyPWpoTTPdDjGkfhD2kypLNAHzquVJP37K/vMBgMAWeg/Xj+gaMzSxVMrNKeu2HQ4QFa7dEalfF6P9nYO6lAPh2MAgPhDWDva+uXxSJfPIPGHzOLxeDSjhnafAIDMtLu9X5I0s6aIrgsi8Yc0u+3yqZKkX248pL7hsNlgACCLjEZi+tlrByRJN79niuFoYMLhw4f1mc98RpWVlSooKNDixYu1ceNG02FlrZI8vxY3lkmi6g8AEGfvBwsmlaq8MNdwNMDZG5vzR5cmAECGsTsMzkzsZW5H4g9pddmMSs2uLdLQaFS/2HDQdDgAkDX+e0uLOvpDqi0J6LoF9abDQZr19PTo8ssvl9/v13PPPadt27bpO9/5jsrKykyHltWumGnP+SPxBwA4OvfV3h+ATDOW+KPiDwCQYezEn1297nYk/pBWHo9Hn7tsmiTpsVf2KRqzDEcEAJnPsiz95OVmSfF5qn4f27vb3H///WpsbNQjjzyiiy++WFOnTtUHPvABzZgxw3RoWe29iflNL+/uVCQaMxwNAMCkWMzSy7vjD4JcMYvEHzLTjOpCSdKejkHDkQAAcHZ2Jx5amUniT5KUYzoAuM/HlkzS/c9v18HuYf1he7uWza01HRIAZLQ39vXonZagAjleffpi2ny60dNPP61rrrlGn/jEJ7Ru3TpNmjRJt99+u/7yL//ylF8TCoUUCoXGPg4Gg5KkcDiscDj57bjta6bi2qbMrS1UaX6O+obD2rivSxdMKTvhPdm47vFg3e5at+TetbNu1m17+3CfOgdGVRjwaVFDcVb9bNLx+86mn1cmO3bGn2VZzEgCAGSEWMwaq/ibReJPEok/GJCf69OfX9yoh9bt1SN/bCbxBwDn6P8kqv1uvGAy82Rcau/evXrwwQe1cuVKfe1rX9Prr7+uL3/5ywoEAvrsZz970q9ZtWqV7r333hNeX716tQoKClIW65o1a1J2bROmF3j15rBXP3n2VbVOOXXVX7ate7xYt/u4de2s211Otu7nD3ok+TSjMKzfrX4+/UGlQSp/30NDQym7NsZvSkWBcrweDY1G1RocUX1pvumQAAA4o8O9wxoJx5Tr82pKRerOMzIJiT8Ycct7mvS/X9yr9Xu6tKO1X3Pqik2HBAAZ6WD3kFZva5Ukff7yqWaDgTGxWExLly7VfffdJ0lasmSJ3nnnHT344IOnTPzdddddWrly5djHwWBQjY2NWr58uUpKSpIeYzgc1po1a7Rs2TL5/f6kX9+UUH2L3vz1Vh22SnXddZee8PlsXfeZsG53rVuKr/2hhx5y3drd+jtn3Seu+5GHX5PUp09eOV/XLZ1sJsAUScfv2+48ALP8Pq+aKgu0p2NQe9oHSfwBADKC3eZzalWBchh/I4nEHwyZXF6ga+bV6bmtrXp0/T6tunGB6ZAAICM9tn6fYpZ05awqzarlIQq3qq+v19y5c4977fzzz9evfvWrU35NIBBQIBA44XW/35/SQ9xUXz/d3nd+naSteqelXz0jUdUU5530fdm27vFi3e7j1rWzbnf503V3D47qrUN9kqT3z63L2p9JKn/f6fiZrVq1Sr/+9a+1fft25efn67LLLtP999+vOXPmpPx7Z5IZ1UXxxF/HAPMqAQAZYU878/3+FOlPGPO5y6ZKkp5885B6h0bNBgMAGWggFNHP3zgoSfr8FdMMRwOTLr/8cu3YseO413bu3KmmpiZDEblHdXFACyeXSpLW7egwHA0AwISXdnXIsqTz6oqpkHKwdevW6Y477tCrr76qNWvWKBKJaPny5RocHDQdmqPYc/7sWUkAADidvWfNrCbxZyPxB2Munlah8+tLNBKO6fHXD5gOBwAyzi82HFR/KKLp1YW6ala16XBg0N/+7d/q1Vdf1X333afdu3fr8ccf18MPP6w77rjDdGiucPWcGknSWhJ/AOBKL2xvlyS977waw5HgdJ5//nl97nOf07x587Ro0SI98sgjOnDggDZu3Gg6NEeZkTg03dNB4g8AkBl22Yk/OmGNIfEHYzwej/4iUaHyyB/3KRSJGo4IADJHNGbp0fX7JEmfv3yavF6P2YBg1EUXXaQnn3xS//Ef/6H58+frX//1X/XAAw/o5ptvNh2aK1w9J554f3FXhyLRmOFoAADpFI1ZenFXpyTp6tk8iJVJ+vri7VkrKioMR+IsM6oLJZH4A5ItEo1pIBRRzJLC0ZgsyzIdEpAVLMui4u8kmPEHoz6yqEH/67c71Boc0VNvtuimixpNhwQAGeEP29u1v2tIpfl+3XjBJNPhwAE+/OEP68Mf/rDpMFxp0eQylRf41TMU1qYDvbp4GgeIAOAWWw71qntwVMV5Obqgqdx0OBgny7K0cuVKXXHFFZo/f/4p3xcKhRQKhcY+DgaDkqRwOKxwOJyS2Ozrpur6ZzKlLD4Dui0YUnf/sIrz0nN0aHrdprDu7Fp3cDisrS1BvXMkqJ2tAzrUO6zDvSPqHRrVcDj+gOAHcj2ae8/vlOf3qqowV9XFAU2rKtSM6kLNrS/R4sZSFQWy68g+W3/fZ8K607PuzoGQ+obD8nikxrJcYz/vdKz7bK6dXf8rgoyTm+PV56+Yqvue3a6HXtyjj184maoVABiH//3SXknSpy6eooJctnPAJJ/Xo/fOrtZTm1u0dkc7iT8AcBG7zfOVs6rk99FUKVN88Ytf1JYtW/Tyyy+f9n2rVq3Svffee8Lrq1evVkFBQarCkyStWbMmpdc/nRK/T8GwRz99erWa0lw8YXLdJrHuzGRZ0oEB6e0er3b2eXRgQLI0vnPNkXBMh3pHdKh3RG8e7Bt73SNLkwqleWWW5lXE1FgoZctRaab/vieKdafWrj6PJJ8qci39Yc1v0/I9TyeV6x4aGhr3ezkphHGfuniKvv/73drTMag/bG/XB+fWmg4JABxt4/4evd7cLb/Po1svazIdDgBJ75tTo6c2t+iFHR36yrXnmQ4HAJAma3fE5/vZ817hfF/60pf09NNP68UXX9TkyZNP+9677rpLK1euHPs4GAyqsbFRy5cvV0lJSUriC4fDWrNmjZYtWya/35+S73Emj7e+odeae1Q3a7GuW9KQlu/phHWbwLozc90Huof0nxsO67/fPqLDvSPHfW5yeb7mN5To/LpiNVUWqKEsT1VFuSoK5ChHMT3yk5365q1XaCgidQ2MqjU4ot0dg9rdPqC3DvXpcO+IDg3+/9m77/Co6rSN498zk8mkFwhJIAm9E3pRUASUakOx61pWd+2VtXddFV/dtWLB1bUXLAgWEFCQItJ7CTVAElJIQnqb9v6RhLWAUpKcKffnunIJQ2ZyP5k4c3Ke83t+kFluMDvLQnJMCOP7tOLcPq1o07xxLzhoLL7+fB8r1d00dX+4bC9sTqNX2xacfnq/Rv96h9MUdddPHjgSavyJ6SJDbFx6YmumLNjFGwt3qfEnIvInXl+wE4Bz+iTRMjrU5DQiAnBK5xYYBmzJLiGnuIrE6BCzI4mISCPLL6tmXWbtKg3t7+f9PB4Pt9xyC19++SU//vgj7dq1+9P72O127Hb772632WyNfjKzKb7G4XRKiGRZ+gHSCyubPIOZdZtJdXs/j8fDou35vLk4nYXb9h+8PSzYyqld4xneJZ6TO8b94e8BDocDiwFxUWHYbDY6HOIUaE5xFT/tyOeHtFwWbN1PZlEVr/y4i1d+3MXwLi3428ntOaljcwzD95YB+tLz3ZBUd+NKL6gEoHNClFd8nxuz7qN5XDX+xCtcfVI7/rs4neW7C1m99wD9WmtvBBGRQ9mRV8rczbkYBlw3rL3ZcUSkTrPwYHonx7A2o4gF2/K4aGBrsyOJiEgjqz/x26NVFPFRuuDD291000189NFHzJgxg8jISHJycgCIjo4mNFQX0/1Sl4RIALbllJqcRMR8Ho+HOZtzmTxvBxuy/jeS85TOLbhwQDKndU0gNNjaYF8vMTqE8/onc17/ZKocLuZszuXzVZks2r6fH7fWfqQmRXHHyM6c2jXeJxuAIg1px/4yADrEN/Fsai+nAfTiFRKiQjinTxIAbyzYZXIaERHvNaXuNXJUtwQ6xkeanEZEfmlE3Zi3H7bkmZxERESawry0+jGfWu3nC1577TWKi4sZPnw4LVu2PPgxdepUs6N5nc51jb+tuWr8SWBbm1HEhVN+5rr3V7Ehq5gQm4W/ntSWBXcN572rB3Fmr1YN2vT7rRCblbN7t+K9qwcx7x/DuXJwG8KCrWzMKuGad1dy7qtLWLXnQKN9fRFfsCOvtvHXUY2/X9GKP/Ea157Sns9WZTJ7cw679pfRvoX+ZxUR+aXs4kqmr80C4PrhHUxOIyK/dVq3eJ7/fhuLtudT5XARYmu8kwAiImKuGqebBVtrV/yN7KbtKnyBx+MxO4LPqG/8ZR6opLzaSbhdpw8lsOwrquT/vktjxtp9AITYLFx9UjuuObkdzSN+P/63KbSLC+ex8ancNrIzUxbu5L0le1ibUcR5ry3hgv7J3DOuK3EmZRMxS0mVg9ySakCNv9/Sij/xGp0SIjmtazweD7y5ON3sOCIiXuetRek4XB5OaNdMI5FFvFCPVlG0jA6h0uFiyc58s+OIiEgjWp5eSGm1k7gIO72TY8yOI9KgYsODaRFZ20DYXreSQiQQeDwePly2h1HPLTjY9JvQL4n5dw7n7rFdTWv6/VKz8GDuG9eNBXcP54L+yQB8tiqTEf/6kXeX7Mbt1kUOEjjqV/slRNmJCjF/fz9vosafeJVrT6ndr+rzVZnsL602OY2IiPcornDw8fK9gFb7iXgrwzAOrvqYu1njPkVE/Nn3W3IBGNktHotF+yuJ/9E+fxJoMgor+Mtby3jgy42U17jo1zqGr28+mecu7EPLaO/bBzQ+MoRnL+jNtBuHkJoURWmVk0e+2sRf3lrGvqJKs+OJNAmN+Tw8Uxt/Cxcu5KyzzqJVq1YYhsH06dN/9e8ej4dHH32UVq1aERoayvDhw9m0aZM5YaVJDGrXjD4pMdQ43bz9k1b9iYjUe3/pbsprXHRNjGR4Z+0jI+KtRnavbfz9sCVXV9uKiPgpj8fD3M31jT+N+RT/pH3+JJB8tjKDMS8s5KcdBYTYLDx0Znc+u34IPZOjzY72p/q1jmXGTSfz2Nk9CLFZWLKzgDEvLGRG3TYhIv5sZ33jT1uG/Y6pjb/y8nJ69+7N5MmTD/nvzzzzDM899xyTJ09mxYoVJCYmMmrUKEpLddDhrwzD4Ia6lSzv/byHoooakxOJiJivyuHi7Z92A3DD8A4Yhq4qF/FWJ7ZvRniwlbzSajZkFZsdR0REGsHW3DKyiioJsVk4qWOc2XFEGkXnhNqTqNvU+BM/Vlnj4q7P1nHX5+upqHExqG0zvrvtFK45uR1WH1rNbbUYXDmkLTNvHUrv5GhKq5zc9sla7pi6lsoal9nxRBrNdq34OyxTG3/jxo3jiSeeYMKECb/7N4/HwwsvvMADDzzAhAkTSE1N5d1336WiooKPPvrIhLTSVEZ1S6BrYiRl1c6DJ7pFRALZZyszKCivITk2lDN6tjQ7joj8AXuQlWFdalfl1o+BExER//JD2n4ATu7YgtBgq8lpRBpH58S6UZ9q/Imf2rm/jHNf/YnPVmViMeAfozrzybUn0jYu3Oxox6x9iwg+v2EIt4/shNVi8OWaLCa8toS9BRVmRxNpFFvrxlHXr1KX/wkyO8DhpKenk5OTw+jRow/eZrfbGTZsGEuWLOG666475P2qq6uprv7f3nAlJSUAOBwOHA5Ho2Stf9zGenxv1Zh133BKO277dD1v/5TOlSemEBniPT+qer5VdyBQ3d5Td43TzWs/7gTgmpPa4HG7cLgb9oo9b6y7KTRF3YH2PZVaI7slMHNDDnM353LriPZmxxERkQY2L612H9dR3eNNTiLSeDrVrZ7ILammuMJBdJjN5EQiDWdeWi63fLSG8hoXcRF2Xrq4D0P8ZAW3zWrh9pGdObF9c27+aDVbsks4a/JiXry4D8O76H1L/EdplYOsuv0suySq8fdb3tNN+Y2cnBwAEhJ+PS8/ISGBPXv2HPZ+kyZN4rHHHvvd7XPmzCEsLKxhQ/7G3LlzG/XxvVVj1O32QEKoldxKJw+9N5fRyd63R46e78CiugOLN9W9JNdgX7GVKJuHyP0bmTlzY6N9LW+quyk1Zt0VFbqyMhCN6BKP1WKQllNK5oFKs+OIiEgDKq6B9VklGAac2lX7+4n/igyxkRQTSlZRJdvyShnYtpnZkUQaxDs/pfP4N5txe2BQu2ZMvqQv8VEhZsdqcCe2b87Xt5zMDR+sZm1GEX99ZwUPnN6Nvw3VhYniH7bl1o75TIiyExMWbHIa7+O1jb96v93HyOPx/OHeRvfddx8TJ048+PeSkhJSUlIYPXo0UVFRjZLR4XAwd+5cRo0ahc0WOFdANXbdruRs7vx8A0sKQnjyyqGE273jx1XPd+DVPWXKlICsO1Cfb2+qu8bp5pkXFwNV3DKqK+MHt2mUr+NtdTeVpqi7fvKABJbY8GAGtIllWXoh87buxz+uHRYREYBNB2rPR/RNiaFFpN3kNCKNq3NCBFlFlWzNUeNPfJ/L7eGf32zmnSW7AbhoQApPnJuKzWrqTliNqmV0KFOvO5FHv9rEx8szeOLbLewrquLBM7ph8aE9DEUOpX4UtcZ8Hpp3dFIOITExEahd+dey5f/2M8rLy/vdKsBfstvt2O2/P/i22WyNfjKzKb6GN2qsus/pm8zk+TvZXVDBp6v3ce0pHRr8axwPPd+BRXUHFm+p+4s1e8kqqqJFpJ3LB7fDZmvcPWS8pe6m1ph1B+L3U2qN6p7AsvRCfkjL4yJN1BER8RsbCmtPlI7srtV+4v86J0Yyf+t+7fMnPq/K4eLmj1bz/ZbaUc33jO3K9cPa/+HiEn9hD7Ly1Lk9ads8nEmz0vjvT+nkllTx7wt7E9LI5xhEGlP9/n5dNebzkLz2koZ27dqRmJj4q/FbNTU1LFiwgCFDhpiYTJpKkNXCjSM6AvDGwl1U1jTsnlYiIt7M4XIzef4OAK47pb0OyEV8zGndak8IL08/QKXT5DAiItIgKmqcbCuuPUk8qpsaf+L/OsfXnkytP7kq4ovKqp1c+d/lfL8lD3uQhVcv68cNwzsERNOvnmEYXDesAy9e3Aeb1eDbDdlc8dZySqq0J734rvr3Jq34OzRTG39lZWWsXbuWtWvXApCens7atWvZu3cvhmFw++2389RTT/Hll1+yceNGrrrqKsLCwrj00kvNjC1N6Ny+SSTHhpJfVsPHy/eaHUdEpMlMW51J5oFK4iLsXHZC44z4FJHG0y4unI7xETjdHjYXBc5JBRERf7ZoewFOj0FKbCgd4yPMjiPS6LrUraLYlluKx+MxOY3I0SuqqOGyN5exLL2QCHsQ719zAqf3bPnnd/RT4/sk8e5fBxFpD2L57kIuf3MZxRVq/olvql+N3kUr/g7J1MbfypUr6du3L3379gVg4sSJ9O3bl4cffhiAu+++m9tvv50bb7yRAQMGkJWVxZw5c4iM1JMZKGxWCzcMrx3xOWXhTqocWvUnIv7vl6v9rh/WntBgrfYT8UWj68bArStQ409ExB/M3pwLwOju8QG1UkQCV8f4CAwDDlQ4yC+rMTuOyFHZX1rNxW8sZV1GETFhNj76+wkMaqe9Kod0jOPja08kNszGusxiLn1zKQfK9f+3+Jb8smoKymswDOgUr17RoZja+Bs+fDgej+d3H++88w5Quwz50UcfJTs7m6qqKhYsWEBqaqqZkcUE5/dPpmV0CLkl1Xy6MsPsOCIije7LNVlkFFYSFxGs1X4iPmxcau3VxFuKDI0sFxHxcdVOF/O35gMwRvv7SYAIsVlp2zwcQPv8iU/JL6vmkv8sJS2nlBaRdqZeO5heyTFmx/IaqUnRfHztiTQPD2bTvhIu+c9S8suqzY4lcsTqx3y2aRami+UPw2v3+BOpZw+ycmPdqr/J83boxJmI+DWny80rdav9rj1Fq/1EfFlqUhRJMSHUuA0W7cg3O46IiByHJTsKKKt2Em3z0Ds52uw4Ik2mU91YWzX+xFcUVdTwlzeXsSOvjJbRIXx23WCNAjyErolRfHLtibSItJOWU8ql/9HKP/Ed2t/vz6nxJz7hooGtSY4NJa+0mvd+3m12HBGRRjN97T72FFTQPDyYv5yo1X4ivswwjIPjPmdvyjM5jYiIHI9ZG7MB6NXMg8WiMZ8SOH65z5+ItyupcnD5W8sPrvT78G8n0DYu3OxYXqtTQiRTrz2RhCg723LLuPLt5ZRWac8/8X7170ld1dQ/LDX+xCcEB1m47bROALy2YKfehETEL9U43bzw/TYA/n5Ke8KCg0xOJCLHa0z3eADmbd1PtVNTC0REfJHT5WZu3f5+vZt7TE4j0rTqV1PUr64Q8Vbl1U7++vYKNmQV0yw8mA//dgLtW0SYHcvrtW8RwQfXnEBsmI31mcX87d2VVDn0e4t4t7T6FX9q/B2WGn/iM87tm0T7FuEUVTh4c1G62XFERBrcx8v3knmgkhaRdq4c3NbsOCLSAPqmxBBl81BW7WTJjgKz44iIyDFYll7IgQoHsWE22kep8SeBpb7xtz23DI9HP//inRwuN9d/sIpVew4QFRLE+9cM0gjAo9ApIZL3rj6BSHsQy9ILufHD1dQ43WbHEjkkt9vD9roVf130//lhqfEnPiPIauEfo7oA8NbidM2dFhG/Ul7t5OV5tXv73XpaJ+3tJ+InLBaDXs1qT5J9tzHH5DQiInIs6l+/R3WLx6opnxJg2sWFE2QxKK12sq+4yuw4Ir/j8Xi454v1LNqeT6jNyrtXD6JHK+3FerR6Jkfz1lUDCbFZmJeWx92fr1OzX7xSVlEl5TUugq0WjfL9A2r8iU8Zl5pI95ZRlFU7eX3BTrPjiIg0mLd/Sie/rJo2zcO4eGCK2XFEpAHVj4WbszkHp0tXzoqI+BK328PsTbWNvzE9EkxOI9L0goMsdKgbl5iWXWJyGpHfe2b2VqatzsJqMXj1sn70bR1rdiSfNahdM17/S3+CLAbT1+7j33O2mR1J5He21L0XdYiPwGZVe+tw9J0Rn2KxGNw5pjMA7yzZTW6JrjYTEd93oLyGKQt2ATBxVGcduIj4mQ5RHmLDbByocLA8vdDsOCIichRW7z1AXmk1kSFBnNiumdlxREzRrWXtKLUtavyJl3l3yW5e+7F2YcCkCT0Z0TXe5ES+b3iXeJ6a0BOAyfN38PHyvSYnEvm1Ldm1Yz7r35vk0HRmUXzOiC7x9G8TS7XTzeS6sXgiIr7s9QU7Ka120jUxkrN6tTI7jog0MKsBp9WdhJilcZ8iIj6l/nV7ZLcEgoN0CkUCU7eWUcD/TraKeIMftuTy6NebAPjHqM5cOECTcxrKhQNSuPW0TgA8OH0jP27NMzmRyP/UX4TSve69SQ5NR63icwzD4M7RtXv9fbx8LxmFFSYnEhE5djnFVbyzZDcA94ztisWijWNE/NGYHrWNv9mbcnC7tVeGiIgv8Hg8B/f3G5uaaHIaEfP8r/GnFX/iHdJySrj14zV4PHDJoBRuPrWj2ZH8zh0jOzGhXxIut4ebPlzN5n36/1+8w+a696Juavz9ITX+xCcN7tCcoZ3icLo9/GvOVrPjiIgcsxd/2E61083AtrEM79LC7Dgi0kgGt29OZEgQeaXVrNitcZ8iIr5gbUYRWUWVhAVbGdZZx2kSuOpPrqYXlFNR4zQ5jQS6/LJqrnlnJeU1Lga3b87j41MxDF1A29AMw+DpCb0Y0qE55TUu/v7eSgrKqs2OJQGutMrB3rpFQGr8/TE1/sRn3TO2K4YBM9buY21GkdlxRESO2q79ZXy6MgOAu8d21S8rIn7MHmRhbI/a1SJfr99nchoRETkSX6/LBmB09wRCbFaT04iYp0WknbgIOx4PpOVo3KeYp9rp4vr3V5FVVEnb5mG8elk/bFad3m4swUEWXrusP22bh5FVVMmNH67G4XKbHUsC2Na696DEqBCahQebnMa76ZVRfFZqUjTn9k0C4Klvt+DxaGyWiPiWZ2dvxeX2cFrXeAa2bWZ2HBFpZGf1rt3Dc9aGHJz6hVlExKu53B6+qbtQo/71WySQdW+lcZ9iLo/Hw4NfbmTlngNEhgTx5pUDidWJ/0YXHWbjzSsHEGEPYll6IY/V7asoYoYtB8d8RpqcxPup8Sc+7c7RXbAHWVi+u5DZm3LNjiMicsSWpxcya2MOFgPuGtvF7Dgi0gSGdGhOs/BgCspr+HlXgdlxRETkD6zYXUheaTVRIUEM7aQxnyL1J1nV+BOzfLhsL5+tysRiwCuX9qNjfITZkQJGx/hIXrioD4YBHyzdy4fL9pgdSQLU5uzaFX8a8/nn1PgTn9YqJpS/D20PwNOztlDj1NXzIuL93G4P//xmMwAXD2pN10QdsIgEgiCrhdN71o37XKdxnyIi3qz+dXpcakuCg3TqRKR7y/oVfxr1KU1vbUYRj39d+zv0PWO7cor2XW1yI7sncOfo2ouWH5mxiVV7tG+5NL3NB1f86Tzan9HRq/i864d3IC4imN0FFXykK05ExAd8uSaLDVnFRNiDuGNkZ7PjiEgTOqtX7bi47zbmUO10mZxGREQOxeFyM2tjDqAxnyL16k+ypmWX4HZrqxVpOoXlNdz4wSpqXG7G9kjk2lPamx0pYN04vANn9GyJ0+3h5o/WUFheY3YkCSAut4etObWNv/rx03J4avyJz4uwB3HHqNoT5y/+sJ3iSofJiUREDq+ixskzs9MAuGlER1pE2k1OJCJNaWDbZiRE2SmpcrJoW77ZcURE5BCW7CygsLyGuIhgTmyvfZhFANrHhRMcZKG8xkXGgQqz40iAcLk93PrxGvYVV9E+LpxnL+iFYRhmxwpYhmHwf+f3on2LcLKLq7h96lpdCCBNZndBOVUONyE2C22bh5sdx+up8Sd+4aIBKXSMj+BAhYNX5+8wO46IyGG9sXAXuSXVJMeG8teT2podR0SamMVicGbdqr+v12vcp4iIN6of83l6z5YEWXXaRARqR5Z3TqjdU037/ElTeW7uVhbvyCfUZuW1v/QnMsRmdqSAF2EP4rXL+hNis7Bw234m6zysNJH6954uiVFYLboA4M/oCFb8QpDVwv2ndwXg7Z92k1Goq89ExPvkFFcxZcEuAO4b140Qm9XkRCJihvqxcXM351JZo3GfIiLepNrpYrbGfIocUre6vck3a58/aQJzN+fyyvydADx9Xk+6JEaanEjqdUmM5MlzegLw/PfbWLxdk0yk8dU3/rq31GvBkVDjT/zGiC7xnNSxOTUuN098u9nsOCIiv/PM7DQqHS4GtInl9J6JZscREZP0To4mpVkoFTUu5qXlmR1HRER+YcHW/ZRWO2kZHUL/1rFmxxHxKvV7Km3eV2xyEvF3WUWV/OPTtQBcObgN4/skmRtIfue8/slcPDAFjwdu+2QNOcVVZkcSP7d5X23jr37PWfljavyJ3zAMg4fP7IHVYjB7Uy4Ltu03O5KIyEHrM4uYtjoLgIfO7K59CUQCmGEYnFU37vOrdVkmpxERkV/6qm7M55m9WmLRGCmRX0lNigZg0z6N+pTG43S5uf2TNZRUOemdHM0DZ3Q3O5IcxqNn96B7yygKymu45ePVOF1usyOJH9tY995T/14kf0yNP/ErXRIjuXJwWwAe+2oTNU694YiI+dxuD498tQmAc/sm0TslxtxAImK6s/vUNv7mp+2nqKLG5DQiIgJQWuVg7uZcAM7urdUlIr/VrWUUhgHZxVXkl1WbHUf81MvzdrBi9wEi7EG8dElfgoN0+tpbhdisvHpZPyLtQazYfYCX5mm/P2kcuSVV7C+txmL8b+y0/DG9corfuX1UJ+IigtmVX85/f0o3O46ICJ+tymDN3iLCg63cM7ar2XFExAt0TYyiW8soalxuvlmfbXYcEREBZm3IodrppmN8BKlJOqkk8lsR9iDaxYUDsDFL4z6l4S1PL+TledsBePLcVNo0Dzc5kfyZtnHhPDmhdr+/yfO2s2J3ocmJxB/Vv+d0jI8gNNhqchrfoMaf+J2oEBv3jusGwEs/bNeMaRExVVFFDU/PSgPg9pGdSYwOMTmRiHiL8/rVriaZtjrT5CQiIgLwRd3r8YR+SRrLLnIYqa007lMaR1FFDbd/sga3p/Z1WPv6+Y6ze7diQr8k3B64/ZO1FFc6zI4kfmZjVt2Yz1Ya83mk1PgTvzShbxL9WsdQUePiqZlbzI4jIgHsmdlbOVDhoHNCBFed1NbsOCLiRc7u0wqLAav3FrE7v9zsOCIiAS3zQAXL0gsxDDhHJ5tFDqtn3d5KGzK14k8ajsfj4d4vNrCvuIq2zcN4fHyq2ZHkKD0+PpXWzcLIKqrkwekb8Xg8ZkcSP7JxX+17Tg/t73fE1PgTv2SxGDw+PhXDqN2cfemuArMjiUgAWpdRxMfL9wK1B8E2q952ReR/4iNDGNqpBQDT1mSZnEZEJLBNr3sdHty+Oa1iQk1OI+K9etSNwa0/CSvSED5ensF3m3KwWQ1evqQfEfYgsyPJUYqwB/HixX2wWgy+XrePaav1+400nE11oz5TW2kU+5HSGUjxW6lJ0Vw6qDUAj8zYhMPlNjmRiAQSl9tTd5UbnNs3iRPbNzc7koh4oQl14z6/XJOpq2JFREzi8XgOnqCc0C/Z5DQi3q1H3Zi1zAOVFFXUmJxG/EF6fjmPf7MJgLvHdKVnslb0+Kq+rWO5/bROADw8YyN7CjTVRI5fQVk1++q28tKKvyOnxp/4tTtHdyEmzMbW3FLe+Wm32XFEJIB8vHwvG7KKibQHcd/pXc2OIyJeanT3RCLsQWQUVrJyzwGz44iIBKR1mcXsyi8n1GZlbGqi2XFEvFp0qI3WzcIA7fMnx8/pcjPx07VUOdyc1LE515zczuxIcpxuHNGRQW2bUV7j4rZP1uLUQgw5Thvr3mvax4VrNfBRUONP/FpseDD3jq094f7c3G1kFFaYnEhEAkFBWTXPzt4KwMTRnYmPDDE5kQSaSZMmYRgGt99+u9lR5E+EBlsZV3eSedrqTJPTiIgEpvrX3zE9EnRCSeQIHNznL0vjPuX4vLl4N2v2FhFpD+LZ83tjsRhmR5LjZLUYPH9xHyJDglibUcTrC3aaHUl83MYs7e93LNT4E7934YAUBrVrRqXDxQPaXFZEmsCT326huNJB95ZRXH5iG7PjSIBZsWIFb7zxBr169TI7ihyh+rFy36zPpsrhMjmNiEhgqXG6+WrdPkBjPkWO1MF9/tT4k+OQWQ4vza9tCj16dg/tr+pHkmJCeezsHgC8+MN2tmSXmpxIfNmmfdrf71io8Sd+z2IxmDShJ8FBFhZu28+MtfvMjiQifuzHrXlMW5OFYcAT56YSZNVbrTSdsrIyLrvsMv7zn/8QGxtrdhw5Qie0a0ZSTCilVU6+35JrdhwRkYAyf2seRRUO4iPtnNQxzuw4Ij4htW6fP436lGNV7XTzwXYrDpeH0d0TDu57Lf7j3L5JjO6egMPl4e4vNuDUxE85Rhuzat9rUrXi76jobKQEhA4tIrhlREcAHv9mMwfKtQG1iDS8smonD3y5EYCrhrSlX2s1XqRp3XTTTZxxxhmMHDnS7ChyFCwWg3P71p7s+Gylxn2KiDSl+tfdc/omYdWIOZEjUn/yNT2/nJIqh8lpxBe9NG8H2ZUGzcJtPDWhJ4ah119/YxgGT57bk9gwG2m5ZczOVBtCjl5xhYO9dVt39dCKv6Oi4fUSMK4b1oFv1mezNbeUJ77dwr8v7G12JBHxM/+avZWsokqSY0O5c3QXs+NIgPnkk09YvXo1K1asOKLPr66uprq6+uDfS0pqr6JzOBw4HA1/Aqf+MRvjsb3ZkdZ9Tp9EJs/fwcLt+9mzv8TnRx3p+Q6suiFwa1fdvl13bkkV87fmATChT8s/rcdf6j5aTVF3oH1PfV2z8GCSYkLJKqpkY1YxQzpotawcuRW7C/nP4t0APDm+B3ERdnMDSaNpEWnnyXN7cuOHq/k+y2B9ZjH92+n1Qo5c/V6yKc1CiQkLNjmNb1HjTwJGcJCFSef15LzXlvDF6kzO7ZvEyZ30ZiMiDWPVngO8+/NuAJ46tyfhdr3FStPJyMjgtttuY86cOYSEhBzRfSZNmsRjjz32u9vnzJlDWFhYQ0c8aO7cuY322N7sSOruFGVhe4mFSVN/ZFyKf+xJrOc78ARq7arbN83NMnC5rbSL9LB1xQK2Hun9fLzuY9WYdVdUVDTaY0vj6J0STVZRJesz1fiTI1dZ4+Kuz9bh8cCgFm5Gdos3O5I0stN7tuSMnol8uyGHu6dt5NtbhxJis5odS3zEuswiAHonx5iawxfprKQElH6tY7nixDa8+/Me7v9yA7NvP4XQYL3ZiMjxqXa6uOeL9Xg8cH7/ZE7p3MLsSBJgVq1aRV5eHv379z94m8vlYuHChUyePJnq6mqs1l+/3913331MnDjx4N9LSkpISUlh9OjRREU1/AgNh8PB3LlzGTVqFDabrcEf31sdTd3OpGz+8fkG1peG88LYoT49ck7Pd2DVDbW1T5kyJeBqD9Tn3B/qdrs9/PvFxUAl141M5fQj2F/KH+o+Fk1Rd/3kAfEdvZJjmLkhh3UZRWZHER/y3Nyt7C6oICHKzoS25WbHkSbyyJldWZSWzc795Tw3dxv3n97N7EjiI+rfY9T4O3pq/EnAuWtsV+ZszmVvYQX/mrOVh87sbnYkEfFxr8zbwY68MuIi7Dx4hg5gpemddtppbNiw4Ve3/fWvf6Vr167cc889v2v6Adjtduz234/VsdlsjXoys7Ef31sdSd1n9E7i8W/T2FdcxbI9xQzzg4sI9HwHnkCtXXX7niU789lbWEmEPYiz+yZjsx356RFfrvt4NGbdgfj99HX1J2HV+JMjtTajiLcWpwPwz7O7U7nzyLYoEN8XGxbMRe3d/Gerlf8s2sXY1ET6tY41O5b4gIMr/lJiTM3hi7SrpgScCHsQT03oCcB/f0pn6a4CkxOJiC9Lyynh1R93AvD4+B6aOS6miIyMJDU19Vcf4eHhNG/enNTUVLPjyREKsVk5t2/tipNPV2SYnEZExL/Vv86e3acVYcG6JlrkaPVMjsYwYF9xFXmlVWbHES9X43Rzz+frcXvgnD6tGNHF9y9wk6OT2szDuX1a4vHAvV+sp8bpNjuSeLmc4ipyS6qxGJCa1PBTifydGn8SkEZ0ieeSQSl4PHDX5+soq3aaHUlEfFCN080dU9fhdHsY3T2BcamJZkcSER930cAUAOZszqGgrNrkNCIi/qm4wsHMjTkAXDQgxeQ0Ir4pwh5ExxYRAKzPKDY5jXi7V+bvYGtuKc3Dg3n4rB5mxxGT3DeuC83Dg9mWW8arP+4wO454ufrVfp0TInWR1jFQ408C1gNndCc5NpSMwkqemrnF7Dgi4oNe+H4bW7JLiA2z8cS5qRiG7+7HJf7nxx9/5IUXXjA7hhylbi2j6J0cjcPl4cs1WWbHERHxS9PXZlHjdNM1MZJeydFmxxHxWfWj19bXnZwVOZTaKTm1TZ5Hz+5Bs3BNyQlUsWHBPHp2beP3lfk72JZbanIi8Wb17y3a3+/YqPEnASvCHsSz5/cG4KNle/lxa57JiUTEl6zcXcjrC2pHfE6a0JP4yBCTE4mIv7hoYGsAPlmRgcfjMTmNiIh/8Xg8fLx8LwAXD0zRhVsix6G+8bc2Uyv+5NCcrtoRnw6Xh1HdEzizV0uzI4nJzuzVkpHd4nG4PNzzxXpcbv2+I4e2rm41ufb3OzZq/ElAG9yhOX89qS0A93yxnuIKh7mBRMQnlFU7mfjpOtwemNAvibGp+uVFRBrOWb1bEmqzsiOvjJV7DpgdR0TEr6zPLCYtp5TgIAvn1O2rKiLHpnfditn1mUW6WEkO6b8/pbMus5jIkCCeOEdTcgQMw+Cf56QSYQ9izd4i3vt5t9mRxAu53Z6DK/40neHYqPEnAe/uMV1pHxdObkk1j369yew4IuIDnvx2M3sLK0iKCT04pkJEpKFEhtg4u3crAD5YusfkNCIi/uX9utfV01MTiQnTuDmR49E1MYpgq4WiCgd7CyvMjiNeZnd+Of+esw2Ah87oTkKUpuRIrZbRodw7risAz3y3lQy9fshv7C4op6TKiT3IQpfESLPj+CQ1/iTghQZb+deFvbEY8OWaLL5Zv8/sSCLixX7YksvHyzMwDPjXBb2JCrGZHUlE/NDlg9sAMHNDNvtLq01OIyLiHw6U1/D1utrf9y4f3NbcMCJ+IDjIQvdWUQCszSgyN4x4Fbe7doxjtdPN0E5xXDAg2exI4mUuHdSaQe2aUelwcf+XG7RqWH5lXd1qv9SkaGxWtbCOhb5rIkC/1rHcOLwjAPdN26ArTUTkkArKqrnni/UAXHNSOwZ3aG5yIhHxV6lJ0fRJicHh8vDpygyz44iI+IXPVmVQ7XTTo1UU/VrHmB1HxC/Uj/us34tJBODzVZksSy8k1GblqXN7asSn/I7FYvD0hJ4EB1lYtD2faauzzI4kXqT+PUVjPo+dGn8idW4b2Ym+rWMorXJy6ydrcLjcZkcSES/i8Xi46/P15JfV0DkhgjvHdDE7koj4uSvqVv19uHQPTh2XiIgcF7fbwwdL9wJw+YltdBJapIH0qWuir8nQvsRSK7+smidnbgHgH6M7k9IszORE4q3at4jg9pGdAPjnt5vJL9OkE6m1Zm/te0qflBhzg/gwNf5E6tisFl66uC+RIbWby77w/TazI4mIF3lrcTrz0vIIDrLwwkV9CbFZzY4kIn7u9J4taRYezL7iKual5ZkdR0TEpy3Yvp+9hRVEhgQxvk+S2XFE/Ea/1rEAbMoqodrpMjmNeIOnvt1CcaWD7i2juGpIW7PjiJf7+9D2dG8ZRVGFg6e+3WJ2HPECVQ4Xm/aVAP97j5Gjp8afyC+kNAvj6Qm9AHj1x50s2ZFvciIR8QZrM4p4elYaAA+d2f3gPhYiIo0pxGblwgEpALy/dI/JaUREfNv7P9e+jl7QP4XQYF3AJdJQWjcLo3l4MDUuNxuzSsyOIyZbsiOfaWuyMAx4akJPgrQ3l/wJm9XCpAk9MQyYtiaLJTt1LjbQbcgqxun2EB9pJzk21Ow4PkuvviK/cUavllwyKAWPB26fupYCLTMXCWjFlQ5u/mg1TreHM3q25C8ntDY7kogEkMtOaI1hwKLt+ezaX2Z2HBERn5RRWMH8rbUrpy+vG6MsIg3DMAz6taldkbF6j8Z9BrIqh4sHpm8E4IoT22hEnxyx3ikxXH5i7fvzg9M3avVwgFtV917Sr3WsRrMfBzX+RA7h4TN70DE+grzSau78bB1ut8fsSCJiAo/Hwz2fryfzQCUpzUKZdJ42JReRppXSLIxTu8QDHNybSkREjs4Hy/bg8cDQTnG0iws3O46I36kfxbZ6rxp/gezVH3eSnl9OQpSdf4zpYnYc8TF3julCi0g7u/aX88aCXWbHERPVX0TSr02MuUF8nBp/IocQGmxl8qV9CQ6yMH/rfl5fuNPsSCJigveX7uG7TTnYrAavXNqPqBCb2ZFEJAD9pW51ymerMiivdpqcRkTEt1Q5XHy6IgPg4GoCEWlY/VrHALWNP49HF04Hoh15Zbz+Y+25s0fO6qHfneWoRYXYeOjM7gC8PH8Hu/PLTU4kZvB4PKzeWwRA/zba3+94qPEnchhdE6N49KweAPxr9lZ+0n5/IgFlY1YxT3xTu7H0feO60Ss5xtxAIhKwhnVqQbu4cEqrnHy+KtPsOCIiPmXa6iwOVDhIjg3l1K7xZscR8Uu9kmMIshjkllSTVVRpdhxpYh6Phwe+3ECNy82pXeMZl5podiTxUWf1asnQTnHUON08NGOjLiQIQBmFleSXVWOzGvRoFW12HJ+mxp/IH7hkUAoX9E/G7YFbPl6jA1iRAFFYXsN176+ixuVmZLcE/npSW7MjiUgAs1gMrq57HfrvT+m4NIJcROSIuN0e3lpcOy7srye1I8iqUyCBbuHChZx11lm0atUKwzCYPn262ZH8Qmiwle6togAOrtSQwPH5qkyWpRcSYrPw2Nk9tD2GHDPDMPjn+FSCgyws2p7PN+uzzY4kTax+ZHSPVtGE2Kwmp/FtOuoV+QOGYfDPc1JJTYqisLyGGz5YRbVDG8yK+DOXB+74dD1ZRZW0bR7Gvy/srV9cRMR05/VPJjrUxp6CCr7fkmt2HBERn7Bg23527i8n0h7EhQOSzY4jXqC8vJzevXszefJks6P4nYP7/O3RPn+BpLC8hqdm1k7KuWNkZ1KahZmcSHxd27hwbh7REYDHv9lMSZXD5ETSlFbVvYdozOfxU+NP5E+E2Ky8dll/YsJsrM8s5p8z08yOJCKN6Js9FpbsKiQs2MqUywcQHaq9CUTEfGHBQVx2QmsA3lqUbnIaERHf8Gbdar+LB6UQqf2mBBg3bhxPPPEEEyZMMDuK3+n7i33+JHA8810aByocdE2M5OqT25kdR/zEdcPa0z4unP2l1fx79laz40gTqn8Pqb+YRI6dGn8iRyClWRgvXtwXw4CpK7P4OVerf0T80dfrs5mXXfvW+K8LetMlMdLkRCIi/3PlkLbYrAbLdxeyLqPI7DgiIl5t874SftpRgNVicOWQtmbHEfF79SdpN+8robJGk5ICweq9B/hkRQYAT5yTik3jlKWB2IOsPHFOKgDvLd3D+swicwNJk6iocZKWUwpAvzYx5obxA0FmBxDxFcM6t2DiyM78e+42Pk+3cF5GEQPbtzA7log0kM37Srh/+iYArhvajtN7tjQ5kYjIryVEhXBmr1Z8uSaLtxan89Ilfc2OJCLitd5aXLs6emxqIsmxGj0nx6a6uprq6uqDfy8pKQHA4XDgcDTO+Ln6x22sx28sCRFBJETayS2tZtXufE5o1+yo7u+rdR8vX63b5fbw0PQNAEzo24reSZFHVYOv1n28VPeR1z2wTTTje7dkxrps7pu2ni+uOxGrxbcWYuj5Prq6V+wqwOX20DI6hLiwIJ/7vjXF8300j63Gn8hRuGlER9ZmHOCHtP3c8NFaZtx8MkkxoWbHEpHjdKC8hus+WEmVw03XaDd3jOxodiQRkUO65uR2fLkmi5kbsrl3XFda6ThEROR38kqq+GpdFgB/0+g5OQ6TJk3iscce+93tc+bMISyscRvKc+fObdTHbwytgi3kYuHDOcsoSPEc02P4Yt0NwdfqXpxjsGmflVCrh37WvcycufeYHsfX6m4oqvvIDAiCOVYrm/aVcv/b3zGs5bG9rphNz/eRmZlhASy0slUwc+bMxgnVBBrz+a6oqDjiz1XjT+QoWCwG/zq/J6c/9wPZZTVc884KPr9hCBF2/a8k4qtqnG6u/2AVGYWVpMSGckWHUp+7ikxEAkdqUjQntm/G0l2FvLtkN/ed3s3sSCIiXue9n/fgcHno3yaWvtojRo7Dfffdx8SJEw/+vaSkhJSUFEaPHk1UVFSjfE2Hw8HcuXMZNWoUNptv7U15oPle1nyTRrG9BaefPuCo7uvLdR8PX6y7oLyGh15YDDi5e1w3Lqrbh/po+GLdDcHhcDBlypSArPtYn29PUgYPf7WFOdl27rzwJFpE2hspZcML5J/zY6n74/+uAA5wzpBUTh+Y3HgBG0lTPN/1kweOhLoVIkcpwh7EtV1dvLItjLScUm7/ZA1TLh+gRoGID/J4PNw7bT3L0guJsAfx+mV92LFqkdmxRET+0N9Obs/SXYV8uGwvN47oSHRo4PwSKSLyZ0qrHLz3825Aq/3k+Nntduz2359kttlsjX4Stym+RkM7sWMLII01e4vBYj2mPd98se6G4Et1P/f9ZkqqnPRoFcUVQ9of1/kwX6q7IanuI/eXE9vxxep9rMss5l9zd/DcRX0aJ1wj0vP952qcbtZkFAMwuGOcT3+/GvP5PprH1a6rIsegmR1evbQPwUEWvt+Sx/99l2Z2JBE5Bi/P28G01VlYLQavXtaPzgmRZkcSEflTp3aNp0tCJGXVTt6vO7ktIiK1Plq2l5IqJ+1bhDO6R6LZccTLlJWVsXbtWtauXQtAeno6a9euZe/eYxtTKL/WOT6S6FAblQ4Xm/Yd+aoE8R2r9hzg05WZADw+PlUXwUujs1gMHh+fimHAtDVZLE8vNDuSNIINWcVUO900Cw+mQ4sIs+P4BTX+RI5R35QY/nVBbwDeWLiLqSv0i4KIL5mxNovn5m4D4J/jUzmlcwuTE4mIHBmLxeDGER0A+O9Pu6mocZqcSETEO1Q5XPxnUToANwzroBPS8jsrV66kb9++9O3bF4CJEyfSt29fHn74YZOT+QeLxWBg29rxusvTC0xOIw3N5fbw0PSNAFw4IJn+bTRKWZpG75QYLh5YO1L24RkbcbrcJieShlbf0B3YNhbD0PFbQ1DjT+Q4nN27Fbed1gmAB77cyKLt+01OJCJHYsXuQu76bD0A153SnkuPYU8CEREzndGzJa2bhVFYXsMnyzPMjiMi4hU+W5VJflk1STGhnNM3yew44oWGDx+Ox+P53cc777xjdjS/MahdMwCWpx8wOYk0tA+X7WFzdglRIUHcM7ar2XEkwNw9pgsxYTbSckp5f+kes+NIA1uxu7bxN6hdc5OT+A81/kSO0+0jO3F271Y43R6ue38V6zOLzI4kIn8gPb+ca99bSY3LzbjURP3CIiI+Kchq4fphtav+3li4ixqnrnoVkcDmcLmZsmAnANee0v6Y9hYTkeM3sG1t42/F7kLcbo/JaaSh5JdV8+zsrQDcNbYrzSN+v/elSGOKDQ/m7jG152+em7ON/aXVJieShuJye/7X+Kt7D5HjpyNhkeNkGAbPXtCLkzo2p6LGxVVvr2DX/jKzY4nIIeQUV/GXN5dxoMJB75QYnruwDxaNgBIRH3Ve/yTiI+3klFTx5ZpMs+OIiJjq63X7yDxQSVxEMBcNTDE7jkjASk2KJtRmpbjSwfY8nRvxF0/PSqO0yklqUhSXDtLEHDHHRQNT6JUcTWm1k0mztpgdRxrI1pxSSqucRNiD6NYy0uw4fkONP5EGYA+yMuXyAfRMiqawvIYr/rucvJIqs2OJyC8UVdRw+VvLyCqqpF1cOG9dOYDQYKvZsUREjpk9yMq1p7QH4PUFu3DpqnoRCVBut4fXfqxd7Xf1ye0IsekYT8QsNquFfm1iAO3z5y9W7i7k81W1F5n9c3yq9k8V01gtBo+PT8UwYNrqLFbWrRIT31b/XtGvTSxBmtjQYPSdFGkgEfYg3v7rQNo2DyPzQCVX/Hc5JVUOs2OJCFBe7eSqt1ewPa+MxKgQ3r9mEHEaTSIifuCSQa2JCbORnl/OtxuyzY4jImKKOZtz2Z5XRmRIEH85sY3ZcUQC3qC2tXs0Ld2lk/K+zuly89CMTQBcPDCFvq1jTU4kga5PSgwX163sf2jGJpwubXng65al14/51OtLQ/Lqxt+jjz6KYRi/+khMTDQ7lshhxUXYee/qE4iLsJOWU8rf311JlcNldiyRgFbtdHH9B6tYm1FETJiN968ZRHJsmNmxREQaRLg9iKtPagfASz9s16o/EQk4breHF77fBsCVg9sSFWIzOZGIDO5Q3/gr0D5/Pu6DpXvYkl1CdKiNu8d2NTuOCAB3jelKTJiNLdklfLB0j9lx5Di43R5+3lW74m9whziT0/gXr278AfTo0YPs7OyDHxs2bDA7ksgfat08jHevHkikPYhl6YVc+/4qNf9ETOJye5g4dR2LtucTFmzl7asG0ilB88JFxL/89aS2RIfa2JFXxlfrssyOIyLSpGZuzCYtp5RIexB/H9re7DgiQu2KnFCblYLyGrbllZodR47R/tJq/j2n9sKKu8d2oVl4sMmJRGo1Cw/mztFdAPj33G3sL602OZEcqy05JRRVOIiwB9E7OdrsOH7F6xt/QUFBJCYmHvxo0aKF2ZFE/lSPVtG8ddVAQm1WFm7bz00frqbGqaXnIk3J5fZwzxfr+XZDNjarwZTL+2ssiYj4pcgQ28G9/l78frvG3YhIwHC5Pbzw/XYArhnajugwrfYT8QbBQRYGtmsGwE87tM+fr5o0awul1U56JUdz8cDWZscR+ZVLBrUmNSmK0ion//ddmtlx5BgtqXuPGNSumfb3a2Be/93cvn07rVq1ol27dlx88cXs2rXL7EgiR2RQu2a8deUA7EEWfkjL45aPV+PQiTiRJlHf9Pt8VSZWi8GLF/dlaCddOCIi/uuqIW1pFh7M7oIKpq3Rqj8RCQxfr9vHjrwyokNtXH1yO7PjiMgvDKkb9/nzznyTk8ixWJ5eyLTVWRgG/HN8KlaLYXYkkV+xWgz+OT4VgM9XZbJqj/YU9UVL6t4j6t8zpOEEmR3gj5xwwgm89957dO7cmdzcXJ544gmGDBnCpk2baN780D8M1dXVVFf/b3lvSUkJAA6HA4fD0Sg56x+3sR7fW6nuP697YJtoXrusD9d/uJbZm3K57ePV/Pv8nj55BYOeb9XtK9xuD/fP2MQXq/dhtRg8d35PRnWNO6JafLnu46G6G6/uQPueinnC7UFcP6w9T81M46UftnNOnySCg3zveENE5Eg5XW5e/KF2td+1p7TX3n4iXuakur2alu0qxOly++R5kEDldLl5eMZGAC4e2JreKTHmBhI5jL6tY7loQApTV2bw0PRNfH3LyWpS+xCHy83y9NqG7WA1/hqcVzf+xo0bd/DPPXv2ZPDgwXTo0IF3332XiRMnHvI+kyZN4rHHHvvd7XPmzCEsLKzRsgLMnTu3UR/fW6nuP3dVR4O3tlqYuTGX3JxsLuvoxuqj70N6vgOLr9Xt9sAnOy0s22/Bgoe/dHBBxmpmZhzd4/ha3Q1FdTe8ioqKRntskd+6/MS2/GdROpkHKvl8VSaXnqCRTCLiv75ck0V6fjnNwoO5akhbs+OIyG90bxVFVEgQJVVONu4roY+aRz7jvZ/3kJZTSkyYjbvHdDE7jsgfuntsF2ZtzGZzdgkfLtvDFYPbmh1JjtD6zGLKa1zEhNnolhhldhy/49WNv98KDw+nZ8+ebN++/bCfc9999/2qKVhSUkJKSgqjR48mKqpxfoAcDgdz585l1KhR2GyBc5Wh6j7yuk8H+m7J45ZP1rEq30J8Qkv+dX5Pn7oSP5Cf7ylTpgRk3b72fLvdHh6YsZll+7OwGPDcBb05o2fiUT2GL9bdEFR349VdP3lApCmEBlu5cXgHHvt6My/P286EfkmE2KxmxxIRaXA1Tjcvzas9L3D9sPaE233q1IZIQLBaDE5s35w5m3NZsjNfjT8fkVdSxfNztwFw95iuxIYHm5xI5I81j7Bz19iuPDR9I/+avZXTe7YkLsJudiw5AvWjoAe3b45FKzUbnE8dHVdXV7NlyxaGDh162M+x2+3Y7b//n9tmszX6ycym+BreSHUfmXG9kphssXLLx6uZtSmXKqeb1/7S3+dOyOn5Diy+UrfD5eaeL9Yxfe0+LAa8cHFfzu7d6pgfz1fqbmiqu3EeW6QpXTKoNVMW7CK7uIoPlu7hb0Pbmx1JRKTBfbx8LxmFlcRF2Ln8xLZmxxGRwxjSoa7xt6OAG4d3NDuOHIFJs9IorXbSOzmaiwammB1H5IhcOqg1U1fsZWNWCf83K41nL+htdiQ5Aj/tKABgSMc4k5P4J69ebnTnnXeyYMEC0tPTWbZsGeeffz4lJSVceeWVZkcTOSZjUxN588qBhNgszN+6n6veXk5ZtdPsWCI+rcrh4vr3VzF97T6CLMZxN/1ERHxZiM3KxFGdAXh53g6KK7TPpIj4l5Iqx8G9/W4f2YnQYN+6kFIkkJxUdzJ3xe5Cqhwuk9PIn1m2q4Av12RhGPD4+FTtlSY+w2oxeOzsVAA+W5XJqj0HTE4kf6bK4WLV3trnaYj292sUXt34y8zM5JJLLqFLly5MmDCB4OBgli5dSps2bcyOJnLMhnVuwXtXn0CEPYiluwq57M1lFFXUmB1LxCeVVDm44r/L+SEtD3uQhTeu6K+mn4gEvPP6J9MlIZLiSgev/LjD7DgiIg1qyoKdFJbX0L5FuFajiHi5jvERxEfaqXa6dSLeyzlcbh6esQmonSDRW6NZxcf0bxPLhQOSAXh4xkZcbo/JieSPLE8vpMbpJjEqhPZx4WbH8Ute3fj75JNP2LdvHzU1NWRlZfHFF1/QvXt3s2OJHLdB7Zrx0d9PICbMxrqMIi5+Yym5JVVmxxLxKfll1VzyxlKWpxcSaQ/ivasHcWrXBLNjiYiYzmoxuPf0rgC889NuMgorTE4kItIwsosreXNROgD3ju2KzerVpzREAp5hGAzt1AKAhdv2m5xG/sh7P+9ha24pMWE27hrdxew4IsfknrFdiQoJYtO+Ej5atsfsOPIHFtS9J5zSOQ7D0OrixqCjZBGT9EqOYeq1g2kRaSctp5RzX/mJrTmlZscS8QkZhRVc+PrPbNpXQvPwYD6+9kROaK/RACIi9YZ3bsGQDs2pcbn595ytZscREWkQz83ZRrXTzcC2sYzqrgu+RHzBKZ1rx30uUOPPa+WVVPHC3G1AbeMkNjzY5EQix6Z5hJ27xtQ2rp+dvZX8smqTE8nhLDzY+GthchL/pcafiIm6JEYy7YYhtG8Rzr7iKs5/fQlLduSbHUvEq63NKOLcV39iV345STGhfHb9YFKTos2OJSLiVQzD4L5x3QCYvnYfG7OKTU4kInJ80nJK+Hx1JgD3nd5NV4eL+IihnVpgGJCWU6pJR15q0qw0Squd9E6O5qIBGqEsvu3SE9qQmhRFSZWTp2elmR1HDmFfUSXb88qwGHBy3V6w0vDU+BMxWUqzMKbdMISBbWMprXJy5dvL+XJNptmxRLzSdxuzuWjKz+SX1dCtZRSf3zCY9i0izI4lIuKVeiZHM75P7b6nT367BY9H+1yIiG/yeDxMmpmGxwOn90ykX+tYsyOJyBFqFh5Mr7oLNbXqz/ss21XAl2uyMAx4fHwqFosuqhDfZrUY/HN8KgCfr8pk5e5CkxPJb9Wv9uudEkNMmFYYNxY1/kS8QExYMO9fcwJn9mqJw+XhjqnrmDxvu07QidTxeDy8sXAnN3y4mmqnm1O7xvPZ9YNpGR1qdjQREa925+guBAdZ+HlXAbM35ZgdR0TkmMxLy2PBtv3YrAZ3j+lqdhwROUrDOmufP2/kdLl55KtNAFwyqDW9U2LMDSTSQPq2juXigbWrVx+cvhGny21yIvml+otAhmnMZ6NS40/ES4TYrLx0cV+uG9YegH/N2cZtn6ylssZlcjIRczlcbh6YvpGn6q7yvnJwG964vD8R9iCzo4mIeL2UZmFcd0rtscU/v9mi4woR8TlVDhePf7MZgKtPbkfbuHCTE4nI0arfw2nxjnxcbl3g7C3e+3kPaTmlxITZuGt0F7PjiDSou8d2JSbMRlpOKe8v3WN2HKnjdLlZXLfNlfb3a1xq/Il4EYuldj+eJ85JJchi8NW6fZz/+hIyD1SYHU3EFPtLq7nszWV8tGwvhgGPnNWdx8anEmTV25eIyJG6cXhHWkWHkFVUyesLdpodR0TkqLy1OJ09BRXER9q55dROZscRkWPQJyWGyJAgiiocrM8sMjuOAHmlVTw/dxsA94ztSmy4xu2Jf2kWHnxwSsBzc7aRV6o9Rr3B2owiSqucRIfa6J0cY3Ycv6YzpyJe6C8ntuHDv51A8/BgNu0r4ezJP7F0V4HZsUSa1Jq9Bzjr5cUsTy8kwh7Efy4fwF9Pamd2LBERnxMabOWBM7oD8PqCnWQU6oIiEfEN+4oqmTxvBwD3n95NEx9EfFSQ1cLJHeMA7fPnLZ6emUZptZPeydFcNCDF7DgijeKigSn0To6mtNrJ0zPTzI4j/G/k88md4rBqT9FGpcafiJc6oX1zvrrlZFKToigsr+Evby7j3SW7te+fBISPlu3loilLySmpokOLcKbfdBIjuyeYHUtExGed3jORwe2bU+1088S3m82OIyJyRJ6auYVKh4sBbWIZ36eV2XFE5DgM71I70m1+Wp7JSWR5eiHT1mRhGPD4+FQsOvkufspqMXh8fCqGAdPWZLFMiypM90Pde8BwjflsdGr8iXixpJhQPrtuCGf3boXT7eGRrzZx88drKK1ymB1NpFFUOVzc+8V67v9yAzUuN2N7JDLj5pPpGB9hdjQREZ9mGAaPnt0Dq8Vg9qZcFm3X1fYi4t2W7irgm/XZGAY8enYPDEMnpkV82Yiu8QCsyywmt0Qj98zidLl5eMZGAC4e2JreKTHmBhJpZL1TYrhkUGsAHp6xCYfLbXKiwLWvqJJN+0owjP+9J0jjUeNPxMuFBlt58eI+PHhGN4IsBt+uz+bMlxezMavY7GgiDWpHXinnvPITn6zIwDDgrjFdeO0v/TTSSeQITJo0iYEDBxIZGUl8fDznnHMOW7duNTuWeJkuiZFcfmIbAB6avpEqh8vkRCIih1btdPHg9NoT05cOak1qUrTJiUTkeMVHhtCnrsk0T6v+TPPez3tIyyklJszG3WO6mB1HpEncPaYLsWE2tuaW8u6S3WbHCVj1q/36tY4lLsJuchr/p8afiA8wDIO/DW3P1OsGkxQTyp6CCia8ukSjP8UveDwePlm+lzNfXkxaTinNw4N596+DuGlER13ZLXKEFixYwE033cTSpUuZO3cuTqeT0aNHU15ebnY08TITR3cmIcrO7oIKXp633ew4IiKH9NqPO9mRV0ZcRDB36cS0iN8Y2a12hcf3m3NNThKY8kqreH7uNgDuHtOV2PBgkxOJNI2YsGDuHdcVgBe+365Vxyapf+0/rZtW+zUFNf5EfEj/NrF8e+vJjOqeQI3LzSNfbeL6D1ZRWF5jdjSRY1Jc6eDmj9dw77QNVDncnNwxjlm3D+UUzfoWOSrfffcdV111FT169KB37968/fbb7N27l1WrVpkdTbxMVIiNx85OBWDKgl2k5ZSYnEhE5Nd25JXy6vydADxyVg9iwnRiWsRf1O/bvnhHPpU1mjzQ1J6emUZptZPeydFcNDDF7DgiTeqC/in0SYmhrNrJk99uMTtOwCmvdvLzzto9Fkd1SzA5TWDQ/DQRHxMTFswbl/fn7Z92M2nWFmZvymXVnoU8PaHnwYNoEV+wdFcBd362jswDlQRZDP4xugvXndJeG4uLNIDi4tpx0M2aNTvs51RXV1NdXX3w7yUltQ0gh8OBw9Hwe8nWP2ZjPLY388a6T+vSnFHd4pm7JY97Pl/P1L8PwtrAr73eWHdTCNS6IXBrV90NW7fb7eHeL9ZT43IzrHMcY7rFedX3Vs9349UdaN/TQNUlIZKkmFCyiir5aUe+zmE0oeXphUxbk4VhwOPjUxv82E/E21ksBk+ck8rZkxfz1bp9XDwohSEd4syOFTAWbc+nxuWmdbMwOsZHmB0nIKjxJ+KDDMPg6pPbMahdM+6YupbteWX87b2VXNA/mYfP6k5kiM3siCKHVVHj5JnvtvJO3Vz1lGahvHRxX/q2jjU3mIif8Hg8TJw4kZNPPpnU1NTDft6kSZN47LHHfnf7nDlzCAsLa7R8c+fObbTH9mbeVvfJobDQamVdZjEPvP0dp7RsnNHh3lZ3UwnUuiFwa1fdDWNJrsHKPVaCLR6GR+Qwa9asBn38hqLnu+FVVFQ02mOL9zAMg1HdE3hnyW6+35Krxl8TcbjcPDyjdt/Uiwe2pnfdXosigSY1KZq/nNiG937ew8MzNjHrtqHYrBqI2BS+31I75nNktwRt69NE1PgT8WGpSdF8fcvJ/HvOVt5cnM5nqzJZsrOAZ8/vxZCOumpFvM/y9ELu+nwdewpqf7G/ZFAK95/eTc1qkQZ08803s379ehYvXvyHn3ffffcxceLEg38vKSkhJSWF0aNHExUV1eC5HA4Hc+fOZdSoUdhsgfP/vDfX7Wm1l0e/SeO7fcHcdv5JtIwOabDH9ua6G1Og1g21tU+ZMiXgag/U57wx6s4tqeLBl5cATu4c05W/DGnTII/bkPR8N17d9ZMHxP+d1i2ed5bs5oe0PNxujya+NIG3f0onLaeU2DAbd2vfVAlw/xjVhW/XZ7Mjr4z/Lk7numEdzI7k91xuD/PT8oD/7fUqjU+NPxEfF2Kz8sAZ3RnZLYE7P19HRmEll765jAsHJHP/6d20J4Z4hfJqJ/+aU7vKz+OBltEhPH1eL4ZpLz+RBnXLLbfw1VdfsXDhQpKTk//wc+12O3a7/Xe322y2Rj2Z2diP7628se4rhrTn6w25rNpzgPunb+a9qwc1+Mk3b6y7KQRq3RC4tavu4+PxeHjoqy2UVjnplRzNNUM7ePUYOj3fjfPYEhhOaNecSHsQ+0urWZNxgP5tDj+aXo5f5oEKnp+7HYD7T+9GbLjOEUlgiw6zce+4rtz1+Xpe/GE7Z/dpRcvoULNj+bWVuwspKK8hKiSIge30mt9UtJZVxE+c0L45s247hctOaA3ApyszOe3fC/hyTSYeT+OM7xL5Mx6Ph+825jDyuQW8/VNt0++iASnMvuMUNf1EGpDH4+Hmm29m2rRpzJs3j3bt2pkdSXyAxWLwzPm9CLFZWLwjnw+W7TE7kogEqE9WZDB/636Cgyz864LeXt30E5HjExxkOTjic+aGHJPT+L9Hv9pMpcPFoHbNOL//H18YKBIozuuXTP82sVTUuHji2y1mx/F7szbWvtaP6p6o0apNSN9pET8SYQ/iyXN78vn1g+kUH0FBeQ13TF3HFf9dzp6CcrPjSYDJKKzgmndXcv0Hq8guriKlWSjv/HUg/3d+L6I02lOkQd1000188MEHfPTRR0RGRpKTk0NOTg6VlZVmRxMv16FFBPeO7QrAUzO3kJ6v4wURaVp7Cyp44pvNANw1ugudEyJNTiQijW1caiIAszZk60LlRjRnUw7fb8klyGLw5Dmp2ldLpI7FYvDP8alYDPh2fTYLtu03O5Lfcrs9zNqYDcDpPRNNThNY1PgT8UMD2jbj21uHcteYLgQHWVi0PZ9Rzy/kme/SKKt2mh1P/FyVw8Ur83cw6vkFzEvLw2Y1uGlEB+bcPozhXTTLW6QxvPbaaxQXFzN8+HBatmx58GPq1KlmRxMfcMXgtgzp0Jwqh5uJn67F6XKbHUlEAoTL7eHOz9ZRXuNiUNtmXH2yVqyLBIJTOrcgPNjKvuIq1mUWmx3HL5VXO3n0q00AXHtKezrpogqRX+neKoqrhtQedzw4fQOVNS6TE/mnNRkHyC2pJtIexMmd4syOE1DU+BPxU8FBFm4a0ZE5t5/C0E5x1DjdvPrjTkb860c+XZmB262r6qRheTwevl63j5HPLeDZ2Vupcrg5sX0zZt02lLvGdCU02Gp2RBG/5fF4Dvlx1VVXmR1NfIDFYvDsBb2JtAexZm8RUxbuMjuSiASI/y5OZ/nuQsKDrRrxKRJAQmxWTutWP+4z2+Q0/unFH7azr7iK5NhQbjm1k9lxRLzSxNGdaRkdQkZhJS/N2252HL/07fraMZ8juydgD9J5waakxp+In2sbF857Vw/iP1cMoG3zMPaXVnP35+sZ/8pPLE8vNDue+IlVew4w4bUl3PLxGjIPVJIYFcLzF/Xm47+fSMd4XVkoIuLtkmJCeeTsHgC88P021mcWmRtIRPzepn3FPDtnKwAPntmd1s3DTE4kIk2pfuTbTI37bHBbskt4a3E6AP8cn6qLcEUOI8IexOPjUwH4z8JdpOWUmJzIv/xyzGf9iGdpOmr8iQQAwzAY1T2B2Xecwv2ndyXSHsSGrGIunPIzf317ORuzNFpDjs3O/WXc9OFqznttCWv2FhFqszJxVGfm3zmcc/smaw8BEREfcl6/JMalJuJwebj5ozWUVDnMjiQifqqs2sktH62hxulmZLd4Lh6YYnYkEWliwzrHE2qzknmgko1ZOtneUNxuDw98uQGX28O41ERGdNV2GyJ/ZFT3BMb0SMDp9nDftA2akNaA1mcVk11cRXiwlVM6tzA7TsBR408kgNiDrFx7Sgfm3zWcS09ojdViMH/rfs58eTE3fbiaHXllZkcUH7GnoJyJn65l1HML+HZDNoYBFw5I5se7hnPraZ10RaGIiA8yDIOnz+tFcmwoewsruG/aBl2BLyINzuPx8OCXG9iVX07L6BCePb+3LhYTCUChwVZOrWtKfbNhn8lp/MfUlRms3ltEeLCVh8/qbnYcEZ/w2NmpRNRte/Dh8r1mx/EbszbmAnBqtwRCbDpP2NTU+BMJQHERdp46tyc/TBzG+D6tMAz4dkM2o59fwD8+XacGoBxW5oEK7vl8Paf+ewHTVmfh9sDIbgl8e8tQnjm/NwlRIWZHFBGR4xAdauPlS/oSZDH4dn02H+kXXxFpYJ+tymT62n1YLQYvXdKX2PBgsyOJiEnO7NUSgK/W7tMqmwaQV1rFpJlbAJg4ugsto0NNTiTiGxKjQ7hzdGcAnpmVRm5JlcmJfJ/bA99sqN3fr/61XpqWGn8iAaxtXDgvXtyXmbcOZWS3BNwe+GJ1JqOeX8ANH6xiQ6ZGgEqtrTmlTPx0LcOf/ZGpKzNwuT0M79KCr24+iTevHED3VlFmRxQRkQbSt3Us94ztCsBjX29mS7bGb4lIw9ieW8rDMzYCMHFUZwa2bWZyIhEx04iu8USGBJFdXMWKPQfMjuPzHvtqMyVVTlKTorhycBuz44j4lMsHt6V3cjSl1U4e+3qT2XF83vZig7zSamLCbIzoopHDZlDjT0To1jKKN68cwPSbTmJU9wQ8Hpi1MYezJi/m8reWsWRHvkZ9BSCPB5bvLuTqd1Yw5oWFTFudhdPt4eSOcXxxwxDe+esgeiXHmB1TREQawTUnt+PUrvHUON3c+OFqiiu135+IHJ+yaic3fLiaKoeboZ3iuGFYB7MjiYjJQmxWzuhZuxJkxrpsk9P4tjmbcvh2QzZWi8H/ndeLIKtO+YocDavF4KkJPbFaDGZuyOGHLblmR/JpK/Nrx7if0bMlwUF6PTKDvusiclCflBj+c8UAZt9+Cuf2TcJqMVi0PZ9L31zGmZN/ZkmuQWWNy+yY0siqnS5mrN3H8xutXPbWSual5WEYcHrPRGbcdBIf/O0E+reJNTumiIg0IovF4F8X9CYpJpT0/HJu/2QNLo3gEpFj5HZ7mDh1LTvyykiIsvPchX2wWLSvn4jAOX2TgNq9oBxuk8P4qJIqBw/Vraa+9pT29GgVbXIiEd/Uo1U015zcDoCHZ2yivNppciLfVFnjYl1B7XHeuXWv8dL01PgTkd/pkhjJ8xf14cc7h3P5iW0ItVnZllfG1F1Whv5rAZNmbiGjsMLsmNLAsooqeea7NIZMmsedX2xkT5lBcJCFS09ozfx/DOfVy/rTOyXG7JgiItJEmoUHM+Xy/tiDLMzfup/n524zO5KI+KiX5+1gzuZcgq0Wplw+gBaRdrMjiYiXGNS2Ga2iQyirdrLpgC4IOBZPz0ojt6SadnHh3HZaJ7PjiPi020d2IikmlKyiSp6dvdXsOD7ph7Q8qt0GyTEhWjhgIjX+ROSwUpqF8c9zUll6/2ncN7Yzze0eiiudTFm4i1Oenc9f3lzGjLVZVDm0CtBX1TjdzN6Uw9/eXcnQ/5vHqz/upKC8hsQoO6enuFjwj6E8dW5P2saFmx1VRERMkJoUzf+d1wuAyfN3MHODxnCJyNGZuzmX57+vvXDgiXNT6aMLyUTkFywWg/F1K0JW7lfj72gt21XAR8v2AjBpQk9CbFaTE4n4trDgIJ48NxWAd3/ezcrdhSYn8j31o5vP7t0Kw9DrulmCzA4gIt4vOtTG1Se1Jb5oM6EdBvDh8kwWbc9n8Y7aj+hQG+f0acX5/VNITYrSi7oP2LSvmM9XZTJj7T4Ky2sO3j6kQ3OuGNyGYR2bMWf2d8RF6GpsEZFAd07fJDbtK+Y/i9K587N1tG8RTtfEKLNjiYgP2JFXxh1T1wJw5eA2XDggxdxAIuKVzu2bxGs/7mRzkVF7IWqMzexIPqHK4eK+aRsAuGRQCie2b25yIhH/MLxLPOf3T+bzVZnc/fl6Zt42VE31I7S/tJrFOwoAOLt3S5PTBDY1/kTkiFkMOK1rPGN7JpFRWMFnqzL5fGUG+4qrePfnPbz78x7axYVzVq+WnNW7FZ0SIs2OLL+wa38ZMzdk8836bNJySg/e3iLSzoS+SVwwIJmO8bXPmcPhMCumiIh4oXvGdmVzdgk/7Sjg6rdX8OVNJ5EQFWJ2LBHxYvtLq/nrO8spq3YyqF0zHjyzu9mRRMRLdU6IpGdSFBuySpi+dh/XD9e4yiPx8rzt7MovJz7Szr3jupkdR8SvPHRGdxZu28+u/HKe/34b9+n/sSPy+apMnG4PbSM8dGih6WFmUuNPRI5JSrMwJo7qzG2ndeKnHfl8ujKD77fkkp5fzkvzdvDSvB10TYxkXGpLRnVPoFvLSK0ENMHO/WXM2pDNtxty2JJdcvD2YKuFUd0TOL9/MkM7xRFk1eRnERE5vCCrhVcu7ceE15awa385V7+zgqnXDSbCrl8nROT3Kmqc/O3dFWQUVtKmeRivXdYPm443ReQPXNg/mQ1Zm/l0ZSbXDeuo8wd/Yn1mEa8v2AXA4+NTiQ7VKkmRhhQdZuPJc3vy9/dW8p+Fuzg9tSW9Na78D3k8HqauqB09PDjBbXIa0W/qInJcrBaDUzq34JTOLSirdvLDlly+XrePBdv2k5ZTSlpOKc9/v42kmFBGdotnZPcETmjXnOAg/eLfGGqcblbuLuSHtDzmpeWRnl9+8N+CLAZDOsZxZs+WjO6RQExYsIlJRUTE18SEBfPOVYOY8NpPbNpXwk0fruatKwfo4hER+RWX28OtH69hXWYxsWE23vnrIJprfLyI/IkzeyXyz282sSu/ghW7DzCoXTOzI3mtKoeLf3y6Dpfbw5m9WjI2NdHsSCJ+aVT3BM7u3Yqv1u3jrs/X8fUtJ2MP0sjPw/l5VwG7CyoIt1vp29xpdpyAp8afiDSYCHsQ4/skMb5PEsUVDmZvymHO5lwW79hPVlHlwXGgoTYrg9o14+SOcQzp2JxuiVFYLLqa71h4PB6255Xx884Cft5ZwE878imt/t+bq81qcGL75pzZqyWjuycSG65mn4iIHLvWzcN468qBXPTGzyzYtp8Hp29k0oSeuipfRIDaY9PHvt7E91vyCA6y8OaVA2gXpzFPIvLnIuxB9IvzsDTP4JPle9X4+wPPf7+N7XllxEXY+ef4VLPjiPi1R8/uwU878tmWW8Yr83YwcXQXsyN5rU+WZwBwVq+W2K27zQ0javyJSOOIDrNx4cAULhyYQmWNi8U78vl+cy4/pOWSX1bDgm37WbBtPwDNwoMZ3KE5g9s3p1/rWDonRGj1wGG43R7SC8pZuqu20bd0VwH5ZTW/+py4iGBGdInntG7xnNQxjsgQjfwQEZGG0zslhpcv6cd176/kkxUZxEXYuXOMfgEWEXh53g7e+3kPhgEvXtSH/m104l5EjtyQeDdL8yx8uyGbR87qQXSYfpf9rVV7DvCfhbUjPidN6KmLe0UaWbPwYB4fn8pNH63m1R93MrpHIqlJ0WbH8joHymv4bmMOABf1T2bvut3mBhI1/kSk8YUGWxnVPYFR3RNwuz2k5ZSyZGc+i3fkszy9kMLyGr5dn82367MBCAu20is5mn6tY+nbOpbeKdHER4aYXIU58kqqWJdZzLqMItZlFrEuo4iSql8vl7cHWRjYthmDOzTnpI5x9EqK1gpKERFpVKO6J/DY+FQemr6RyfN3EG4P4obhHcyOJSImenPRLp6buw2Ah87ozrieLU1OJCK+pnUEdE2IIC23jGlrMvnrSe3MjuRVKmtc3PnZOtwemNAviVHdE8yOJBIQzujVkm/WJzJrYw53TF3L17ecTIhNIz9/6YvVmdS43PRoFUVqUhR715mdSNT4E5EmZbEYdG8VRfdWUfxtaHtqnG7WZRaxeHs+q/YcYG1GEWXVTpbuKmTprsKD94uLCKZLYiRdE6Pq/htJp/hIQoP94422ssbFjrwytuaWsj23lG25tfsjZhdX/e5zg4Ms9E2JObhKsk/rGM0YFxGRJnf5iW0or3by9Kw0/u+7NMLtVq4Y3NbsWCJigo+W7eWJb7cA8I9Rnbn6ZJ2sF5GjZxhw8cBkHv0mjfd+3sOVg9vqotZfeGZ2Gun55SRGhfDIWT3MjiMSUJ44J5UVuw+wPa+MZ77bysNndTc7ktdwuT289/MeAC49obXJaaSeGn8iYqrgutVqA9vWjgFyuT3syCtjzd4DrNlbxJqM2jfV/LIa8ncU8NOOgoP3NQxoGRVCm+bhtGkeRuvmYbRpVvvnltEhxIYFe80vCR6Ph6IKBxkHKsgorKz7bwUZByrZnV9OxoEKPJ7f388woHN8JL1ToumdEkPv5Bi6JEZi0yhUERHxAtcP60B5tZOX5+3g4RmbCLVZuWBAitmxRKQJTV+TxQPTNwBw3bD23HxqR5MTiYgvO6dPK/79/Q7S88v5cVsep3bVqjaApbsKePun3QA8fV5PokM1BlWkKTWPsPPM+T25+p2V/Pen9IPb6wjMS8tjb2EF0aE2JvRNBtxmRxLU+BMRL2O1GHRJjKRLYiQXD6q9SqSixsn23DLSckpIyylla07tarjC8hr2FVexr7iKn3cV/O6xgiwGLSLtxEfaaREZQnyUnebhwUSGBBEZYiMqxFb35yAi7EHYrBZsQRZsFuPgnz0uF24PlFQ6MGo8uNy1Hw6Xm4oaF2XVTsqqnZRXOymrqv1zYXkN+WXV5JdVs7+shvzSagrKq6ly/PEbX/PwYDolRNAlIZJOCZF0Toike6soIux6qRYREe81cVRnyqtd/PendO7+Yj0eD5zbJ9HsWCLSBKav3cc90zbi8dSuAr53bFcMwzsuvBMR3xRuD+KSQa15Y+Eu3v5ptxp/QEmVgzs/q52bd8mgFIZ3iTc5kUhgOrVrAped0JoPl+3lH5+uY/btp2gvUuC/i9MBuGRQa0KDrTj+5PynNA2dTRYRrxcWHFS72i0l5uBtHo+HgvIa9hSUs6eggj0FFewtrGBPQTl7CyvIL6vB6faQXVxVNy6z+Ji//mnBBv2fmn/8hQDxkXZSmoWREhta998wUpqF0TkhguYR9gb5GiIiIk3JMAweOrMbNS4XHyzdy91frKe8uoZmZgcTkUa1JNfg06W1Tb+LBqTw2Nk91PQTkQZxxeA2vLloF4u257Mtt5TOCZFmRzKNx+PhwS83knmgkpRmoTxwhsYLipjpgTO6sWRnAen55Tw0YyMvXdLX7Eim2pJdws+7CrBaDK4Y3MbsOPILavyJiE8yDIO4CDtxEXb6t/n9qcUap5v8smrySqvZX1pNXmkVeSXVFFXUUFLlpLTKQUmVk5JKB6VVTipqnDhdHmpcbmpc7kOO3axnsxpYLQZhwbUrBcPtQUTagwi3Wwm3BxEbFlybLTL4YMYWEXbio+za/FdERPySYRj8c3wq9iArby1O57Fv0hjfxuB0s4OJSKN49+c9TN1Ve1x7xeA2PHpWD68ZsS8ivi85NowxPRKZtTGHt39KZ9KEXmZHMs2Xa7L4at0+rBaDFy/uq4lAIiYLCw7i+Yv6cN5rS/hq3T5O6xbP+D5JZscyzds/1a72G5uaSKuYUJPTyC/p3UJE/FJwkIVWMaHH/KZTP86zsrqG/76xjZduGEmo3Xv2DBQREfE2hmHw4BndCLFZeGX+TmbssZLyww7+MUaj/0T8hcfj4dUfd/Ls7K0AXHNSGx48Uyv9RKThXX1yO2ZtzGHa6iwmjupCi8jAm5Czp6Cch2dsAuD20zrRr3WsyYlEBKBPSgy3nNqRF77fzoPTNzKwbbOAbHrllVQxfe0+AK4+qZ3JaeS3LGYHEBHxRlaLQYjNSoQ9CItR20hU009EROSPGYbBXWO6csdpHQGY/OMu7vliPQ6X9nkQ8XVOl5sHpm882PQbk+zmnjGd1fQTkUYxoE0sfVvHUO108+biXWbHaXIOl5vbPllLWbWTQW2bceOIjmZHEpFfuHlER/qkxFBa5eSWj9cE5O87/1m0ixqnm/5tYunXOsbsOPIbavyJiIiIiEiDunF4ey5o58JiwKcrM7nm3ZWUVTvNjiUix6iixsl176/io2V7MQx46IyunJ7iVtNPRBqNYRjccmpts+v9n/dwoLzG5ERN64Xvt7E2o4iokCCev7gPVl2ILOJVgqwWXrq4L5H2IFbtOcC/52wzO1KTKiir5oOlewG45dSOOib0Qmr8iYiIiIhIgzs50cOrl/Yh1GZl4bb9XDTlZ3KKq8yOJSJHKa+0iovfWMoPaXnYgyy8dll/rjixtdmxRCQAjOgST/eWUVTUuA7uIxUI5qXl8sr8nQBMmtCLpAAcISjiC1o3D+OZ82v3IH19wU7mb80zOVHT+e9P6VQ6XPRMimZY5xZmx5FDUONPREREREQaxWld4/nk2hNpHh7Mpn0lnDV5Mav2FJodS0SO0Jq9Bzj75Z9Yn1lMbJiNj/5+ImNTE82OJSIB4per/t5espuSKofJiRpf5oEK7pi6DoArB7fhjF4tTU4kIn9kXM+WXDG4DQD/+HRdQFzoWFzh4N0lewC4Wav9vJYafyIiIiIi0mh6p8Tw5Y0n0SUhkv2l1Vz8xlI+XLbH7Fgi8ic+XZHBRVOWklNSRcf4CKbdeBL928SaHUtEAsyYHol0io+gtMrJfxf796q/Gqebmz5aQ3Glg97J0dx/RjezI4nIEbj/9G70aBVFYXkNtwbAfn9v/ZROWbWTromRjOqWYHYcOYwgswOIiIiIiIh/a908jGk3DuGuz9cxc0MOD3y5kY1ZxTxyVg9CbFaz44nIL1Q7XTzxzRbeX1rboB/dPYF/X9ibyBCbyclEJBBZLAa3jezEzR+t4T8Ld3HJwGS2rFlOdnY2LVu2ZOjQoVitvncs4XA4mDFjBj///DN79uwhPDycReWJrMsoIjrUxiuX9cMe5Ht1iQSiEJuVVy7tx5kvL2b57kKe/HYLD53RlQULFrBw4ULCw8MZMWKET75WAWRlZfHRRx+RnZ1NVPMWfJjfBuzR3HpaJyzaf9RracWfiIiIiIg0unB7EK9c2o+7x3bBMODj5Rmc88pPbM8tNTuaiNTZtb+MCa8uOdj0mziqM6//pb+afuJXXn31Vdq1a0dISAj9+/dn0aJFZkeSP3F6akt6J0ezf8MiOnVoz4gRI7j00ksZMWIEbdu2Zdq0aWZHPCrLli2jffv2XHDBBUyfPp358+czatQonr5+As6SfJ6/qDfJsWFmxxSRo9A2Lpx/X9gbgFff/oiEVimMGjWK5557jlGjRvnka5XH4+G+++6jTZs2PProo8yaNYsnH3+cHS9dgX3dZ4ztodV+3kyNPxERERERaRKGYXDj8I6889dBxEUEk5ZTylmTF/Px8r14PB6z44kELI/Hw2crMzjz5cVs2ldCbJiN/141QFdyi9+ZOnUqt99+Ow888ABr1qxh6NChjBs3jr1795odTf6AxWJwomUn+6c/RWlB7q/+LSsri/PPP99nTqinp6czZswYWrduzfr160lLS+PhF94i6dKncFUU4fj2nwxpG212TBE5BmN6JDLcns7+6U9RkJf9q3/ztdcqgEmTJvH000/z6KOPkp2dzdcLVpB803tED76Ibd+9y3PPPWd2RPkDavyJiIiIiEiTGta5BTNvG8rQTnFUOdzcN20DN3ywmvyyarOjiQScwvIabvl4DXd9vp6KGheD2zfnu9tP4dSuuopb/M9zzz3HNddcw9/+9je6devGCy+8QEpKCq+99prZ0eQPuFwuXp304CH/rf7Codtvvx2Xy9WUsY7Jiy++iM1mY9asWfTs2ZOckire2hZEUEovzr7rRfL27uSzzz4zO6aIHAOXy8UP//2/Q/6br71WlZeX88wzz3D77bfz4IMPEhUVxTPfpeEJDuP8v9/BjTfeyNNPP01VVZXZUeUwtMefiIiIiIg0ufjIEN796yD+s2gXz87eynebcliWXsCjZ/fg7N6tMAytMhJpbN+uz+bhGRspKK/BajGYOKoz1w/rgFWr/MQP1dTUsGrVKu69995f3T569GiWLFlyyPtUV1dTXf2/i1JKSkqA2v3ZHA5Ho+Ssf9zGenxv9Ud1L1iwgMzMzMPe1+PxkJGRwfz58xk2bFijZWwIn3/+OZdddhmhoaGUVlRxw4drKHEYdGwRzlvXnUr+nKFMnTqViy++2OyojUo/56rbH/nTa9Xs2bMpLi7m2muvxeFwsGh7PnM252IxYOLIDtT0/juvvvoq33//PWPGjPnVfQPl+f6tpqj7aB5bjT8RERERETGFxWJw3bAOnNQxjjs/W0daTim3fbKWb9Zn88Q5qSREhZgdUcQv5ZVW8ciMTczamANA54QInj2/N71TYswNJtKI8vPzcblcJCT8ejVrQkICOTk5h7zPpEmTeOyxx353+xtvvEFISOO+R02ZMqVRH99bHaru1atXH9F93333XTZs2NDQkRpUQUEBu3bt4uXJk8ksN0iogVZ26ICHd/6zhrKyMvbt28fkyZPNjtokAvHnvKKiIiDrBv9/vv3ptWrVqlUAfPXVVwTZgtlRYnBaMDS3w+xPt1FZWQnAZ599xvbt2w/5GP7+fB9OY9Z9NCss1fgTERERERFTpSZF89XNJ/PajzuZPH87czfnsmRHPreN7MRfT2qHzaodCkQagsPl5r2f9/DC3G2UVjsJshjcOLwDN53aEXuQ1ex4Ik3ityvKPR7PYVeZ33fffUycOPHg30tKSkhJSeHaa68lKiqqUfI5HA7mzp3LqFGjsNlsjfI1vNEf1b1gwQI++OCDP32MK6+80utX0Xz00Ue4XC4qOo1m2uLdBFkMru/q5MbzR2IYBs899xzjxo3j5ptvNjtqowrkn/MpU6Zw3XXXBVzdgfB8+9Nr1apVq/jwww/p3r07abaOzPpxFwlRdr679SQi7EHMmDEDgFtvvZVevXr96r6B8nz/VlPUXVJSwv33339En6vGn4iIiIiImC44yMJtIzsxJjWBe7/YwNqMIp6amcanKzN59KwenNwpzuyIIj7t550FPPrVJrbmlgLQKzmaSRN60qNVtMnJRJpGXFwcVqv1d6v78vLyfrcKsJ7dbsdut//udpvN1ugnM5via3ijQ9U9YsQIkpOTycrKOrhP1i8ZhkFycjIjRozAavXuixiuu+46rr32WlZGDiG0bR+ePKc7IdnrsNlsvPTSS2RmZnL99dcHzHOvn/PA4u91/9lrFRikpPjGa9UJJ5xA3759uf+hR6gY9QBYQ3j0rB7ERoRSUlLCk08+yQknnED//v0P+xj+/nwfTmPWfTSPq0tnRURERETEa3RNjGLaDUN45vxeNA8PZkdeGX95axlXv7OCtJwSs+OJ+JxtuaX87d2VXPKfpWzNLSU2zMakCT358saT1PSTgBIcHEz//v2ZO3fur26fO3cuQ4YMMSmVHAmr1cqLL74I/H7FZr0XXnjB60+kA0T3Og17237kff4obdI+IjJ/M8uWLeOiiy7izjvv5O6776Zfv35mxxSRY/Dnr1UerrjjEZ94rTIMg1dfe520rVvZ+9atJGb+iH3/Fl5++WX69evHrl27AnaUp6/Qij8REREREfEqFovBhQNSGNM9kefmbuWDZXuZl5bH/K15nNsniTtGdSalWZjZMUW8WlZRJc/P3ca01Zm4PWAx4NITWnPn6C7EhAWbHU/EFBMnTuTyyy9nwIABDB48mDfeeIO9e/dy/fXXmx1N/sSECRP4/PPPue2228jMzDx4uzUyjsvveIQJEyaYmO7I/Lg1j/umbyF+woN0yP6etPnTOGPGRwB07dqVN998k6uvvtrklCJyPA73WhXZPJGQoVfzyf6WDN+cy8juh15p7k0WF0XT4tJnqPj5E1Z+8jynffgvgoKCOPfcc3n00Ufp3r272RHlD6jxJyIiIiIiXik6zMZj41O5ckhb/j1nG99uyGbamiy+WrePc/smccPwDrRvEWF2TBGvsju/nNcX7OSL1Zk4XLVjpsb2SOTOMV3oGK//XySwXXTRRRQUFPD444+TnZ1NamoqM2fOpE2bNmZHkyMwYcIExo8fz6JFi8jOzmZXuY03tgWzoMbKqj2F9G/TzOyIh7Vo+36ue38VTreHcwe04bkLX8blep5du3axaNEirrjiCoKDdVGGiD+of62aP38+s2bNYty4cZwybDh3fr6Br9bt48YPVzPliv6M6BJvdtTDWp5eyKs/7iC4RVv+88mnnNQ6lP3799OiRQtiYmLMjidHQI0/ERERERHxau1bRPDKZf24LrOIZ2dvZdH2fD5blcnnqzM5vWdLbhjWgdQkjSyUwLZ5XwmvL9jJN+v34a7bVmZw++bcPbYLfVvHmhtOxIvceOON3HjjjWbHkGNktVoZPnz4wb/nT13Ll2uyuPXjtXx9y8k0C/e+5tmi7fv527srqXa6GdktnmfO743FYmCx2Gjfvj1paWmHHWEqIr7JarUybNgwysvLGTZsGDZbEM9d2Bun283MDTlc9/4q3rpyAEM7tTA76u/kl1Vzx9S1uD1wfv9kzujVEkANPx+jxp+IiIiIiPiEXskxvH/NCazee4BX5+/g+y15fLs+m2/XZzOgTSxXDmnL2NREbFZtZS6BwelyM2dzLu8s2c3y9MKDt4/o0oKbRnRkQFvvXf0iItIQHhvfg9V7D7CnoIIbPljF+9ecQHCQ9xwH/LAllxs/XH2w6ffqZf29Kp+INJ0gq4UXL+6L07WaOZtz+du7K3n9cu9a+VfjdHPDB6vIKqqkXVw4j57dw+xIcozU+BMREREREZ/Sr3Usb145kC3ZtSucvl2fzco9B1i55wAJUXYu6J/Cef2TaRcXbnZUkUaxp6CcL1Zn8dnKDLKLqwCwWgzGpSZyvVbAikgAiQqx8eYVAzj31SUsSy/kka828tS5Pb1iBd1nKzO4d9oGXG4PI7sl8Opl/dT0EwlwNquFyZf248YPV/H9ljz+/u5Knr2gF+f2TTY7Gh6Phwenb2DF7gNEhgTxnysGEGFX+8hX6ZkTERERERGf1K1lFC9e3Jf7T+/Gh8v28tGyveSWVDN5/g4mz99B/zaxnNevdjxNdKjN7Lgix6WkysHM9dl8sTqTFbsPHLy9eXgwl57QmstOaENidIiJCUVEzNEpIZKXL+nL1e+u4OPlGSTHhnHTiI6m5fF4PLz6406enb0VgAn9kvi/83ppIoGIABAcZOG1v/Tn7s/X8+WaLO6Yuo7ckmquO6W9qRctTJ63g09XZmIx4OVL+mpvaB+nxp+IiIiIiPi0hKgQJo7qzE0jOjBnUy5frM5k4bb9rNpzgFV7DvDo15s4pVMLxvRI4LRuCV65/4/IoRRV1PDDljzmbM5hwbb9VDncAFgMOLlTC87rl8SYHomE2KwmJxURMdeIrvE8cHo3nvh2C8/O3kqw1cLfT2nf5DmqHC7u+WI9M9buA+DaU9pz79iuWCzmr0AUEe9hs1r49wW9iQ0L5r8/pfP0rDS25ZTy1ISephzXvb5gJ/+euw2AB8/oznAvGj8qx0aNPxERERER8Qv2ICtn9W7FWb1bkVdSxfS1WXyxKoutuaV8vyWX77fkYjFgULtmjO6eyCmdW9ChRbhXjAMTgdpVIun55Szctp85m3NZll6Iy+05+O+d4iM4r38y5/RJ0uo+EZHf+NvQ9pRVO3nh++08OXMLhlF7W1PJKKzgpo9Wsz6zGKvF4JGzunPF4LZN9vVFxLdYLAYPndmNlGahPPHtFqatyWLn/jImX9qPlGZhTZbjjYU7eXpWGgB3ju7M1Se3a7KvLY1HjT8REREREfE78VEhXHtKB/4+tD1pOaXM2ZTLnM05bNpXwtJdhSzdVQhAYlQIQzo0Z0jHOE7q2JyW0aEmJ5dAk1tSxU878vlpRwFLduYf3LOvXreWUYzunsDoHgl0bxmlRrWIyB+47bROOF0eJs/fwRPfbiGjsIKHzuxOUCOP2ZyxNosHv9xIabWT2DAbr1zWjyEd4hr1a4qI7zMMg7+e1I7OCZHc+OFq1mUWc/qLi3hyQk/O7t2qUb+2w+Xm8a838/7SPUDt6+fNp3Zq1K8pTUeNPxERERER8VuGYdCtZRTdWkZx28hOZBRWMHdzLj+k5bJi9wFySqqYtiaLaWuyAEiKCaVP6xj6psTQt3UsPVpFaYyiNJhqp4tN+0pYs7eItRlFrNl7gMwDlb/6nGCrhf5tYjmtWzyjuyfSunnTXfEtIuLrDMPgH6M7Exps5dnZW3n35z3syi/nxYv7Nsqo79ySKh7/ZjPfrs8GYECbWJ6/qE+TrtYREd93Usc4vrnlZG77ZA2r9xZx68drmLMph4fP7E58VMNPeSgoq+a2T9ayeEc+hgF3j+nK9cOafjyyNB6faPy9+uqrPPvss2RnZ9OjRw9eeOEFhg4danYsEREREa+iYyaRP5fSLIyrT27H1Se3o8rhYtWeA3WrrfLZkFVMVlElWUWVB0/gBVkMOsZH0DUxki6JUXRtGUnXxEgSo0K08koOy+PxkFtSTVpOCWk5pWzNKWVLdgk795fhcHl+9bmGAamtojmpbtXpgDbNCA1Ws1lE5FgZhsFNIzrSoUUEd0xdy6Lt+Yx6bgGPj0/ljF4tG+RrVDtdvP/zHl74fjtl1U4sBtx6WiduHtGx0VcXioh/SmkWxqfXDealeTuYPG8736zP5set+7ljVGf+cmJr7EHHf3zo8Xj4Zn02j3y1icLyGsKCrbxwUR9G90hsgArEm3h942/q1KncfvvtvPrqq5x00klMmTKFcePGsXnzZlq3bm12PBERERGvoGMmkaMXYrPWNVtqR3GVVjnYkFnMmrqVWGv2FlFQXkNaTilpOaXAvl/c10KbZuG0aR5G27hwWjcLIznGTm4llFc7ibHZTKpKmkpFjZPMgnK2FhsUr8ggq6ia3QXl7CmoYE9BBZUO1yHv1yw8uG5Fae2q0l7J0USG6OdFRKShjU1NpHWzIdw+dQ3bcsu46aPVfLE6nttHdqJXcswxPWaVw8XUFRm89uNOckpqRzP3bR3DE+ek0qNVdAOmF5FAFGS1MHFUZ0Z3T+CB6RtZl1HEP7/ZzJuLdnHD8A5cOCDlmKeRrMso4oXvtzF/634AuiZG8vxFfejWMqohSxAv4fWNv+eee45rrrmGv/3tbwC88MILzJ49m9dee41JkyaZnE5ERETEO+iYSeT4RYbYGNIxjiF1jUCPx0NWUSVp2aVsza1dsbU1p5Rd+eVUOdxsza29/deCeGrtPCLsQSRE2UmICiExKoS4SDvRoTZiwmzEhgUTE2ojJiyYmDAb0aE2Qm1WLBatIDSLx+Oh0uGiuNLBgXIHRZU1FFU4KKpwcKCihuJKB/ll1eSWVJFbUk1ucRWl1c66e1th85bfPabFgPYtIuiSGEm3+hWjiZEkx4ZqtaiISBPp3iqKr285mVfm7eDVH3cyLy2PeWl5nNK5Bef3T+bUrvFE2P/49KjD5WZtRhHTVmfxzbp9B1//W0aHcNtpnbhwQIrew0WkQaUmRfPlDUOYujKDF7/fTnZxFQ/P2MSzs7dydu9WnNs3iT4pMX+6wri0ysG8tDw+X5XJou35QO1Ek5tGdOSmER0JDtIKZX/l1Y2/mpoaVq1axb333vur20ePHs2SJUtMSiUiIiLiXXTMJNI4DMMgOTaM5NgwRnZPOHi7w+Um60Dlr1Z37SkoZ3dBOZmFZVS7DMqqnZTtd7Jzf/kRf71Qm5Vwu5XQYCthtiDC7FbCgq2E2oIIsVkItloIshoEWev+bKn/c+1/bVYLNquB1WJgMQwMo7YGg9pxkpZf/Pl/txtYjP/9e33dUNsM+636mzx4fvV3l8tFUQ18uWYfFqv1V/f/1aMc5v6//LzDfY1fPZbHg8Plwel243B5cLjcOF0eHO7a/zpdbhxuDw6nG6e79t+rHG4qHU4qalxU1rgor3FSWeOiou7jWITbrURYnHRLaUG7FhG0bR5O6+ZhtG0eTlJMqE6miIh4AXuQlYmju3B2nyRenb+D6WuzWLhtPwu37Sc4yELflBi6JEbSPi6c0GArQRYLRZUOsosq2ZZXxsrdhb96n0iODeW6YR24cEByg4zeExE5FIvF4JJBrTm3bxKfrczg9QW7yCqq5MNle/lw2V7Cg60MaNuMTvERtIoJJSbMhsPlpqLGRXp+OWk5pazNKKLG6QbAajEY36fVwVHI4t+8uvGXn5+Py+UiISHhV7cnJCSQk5NzyPtUV1dTXV198O8lJSUAbZXL+gAAFG5JREFUOBwOHA5Ho+Ssf9zGenxvpbpVdyBQ3ao7EKjuxqu7qb6nvnDMpJ8z1e1vkqKDSYoO5qT2sQdvczgczJ07lyGnjKCw0k1eae0KsZySag5U1FBU6aC4wkFRZe1KsuLK2j/X7/lW6XAddjykLzgt2ODdaRvNjnFcgiwGMWG2uhWZtoOrNGNCa1dqJkbZiY+ykxAZQnyUHbvFw9y5cxk1qie234539bhw+PDz+UcC4f/xQ1Hdvn/MJIGtY3wEz13Uh1tP68TUlRl8tzGH9PxylqUXsiy98A/vGxNmY0SXeC7on8yJ7ZtrhZ+INJkQm5XLB7flshPa8POuAj5bmcH8rfsprnSwYNt+Fmzb/4f3bx8XztjURC4amEKb5uFNlFrM5tWNv3q/HYPi8XgOOxpl0qRJPPbYY7+7/Y033iAkJKRR8tWbMmVKoz6+t1LdgSUQ666oqAjIuiEwn29Q3YGmMeuuqqpqtMc+FF84ZtLPWWAJ1Lp37dr1u9si6j6S62+wAOG1H24PuKn77y8/fnGbx1O72s1D/Z+Ng3+G3/x7/dfw/Ga1Hb/+u+cQN/7284/mtGaEp5zx4duP+f5H+/mGUfv5xi/+/OvbPb/7HEv9B7/482/+flBV3ceB2r86gIy6j98K1J911R1Y/OmYSQJb27hw7hnblbvHdGF7XhkbMovZllvK3sIKapxualxuokJtJMWEkhIbyoC2zeiSEKlmn4iYymIxDu5P7nZ7SMspZdWeQjIOVJJVVElJpYNgq4XgIAutm4fROT6SXsnRdIyP0Jj5AOTVjb+4uDisVuvvrlTPy8v73RXt9e677z4mTpx48O8lJSWkpKRw7bXXEhXVOBtV1l/ZO2rUqN9f5enHVLfqDgQOh4MpU6Zw3XXXBVzdgfp8q27V3ZBKSkq4//77G+Wxf8kXjpn0c6a6A0Gg1g3/O2Z64LprA6r2QH3OVbfqbmhNdcwk8kuGYdA5IZLOCZFmRxEROSoWi0H3VlF0b9U4/Q7xfV7d+AsODqZ///7MnTuXc8899+Dtc+fOZfz48Ye8j91ux263/+52m83W6AfmTfE1vJHqDiyqO7Co7sCiuhvnsZuCLx0z6ecssKjuwBOotavuwKK6G+exRURERKRheHXjD2DixIlcfvnlDBgwgMGDB/PGG2+wd+9err/+erOjiYiIiHgNHTOJiIiIiIiIiIjXN/4uuugiCgoKePzxx8nOziY1NZWZM2fSpk0bs6OJiIiIeA0dM4mIiIiIiIiIiNc3/gBuvPFGbrzxRrNjiIiIiHg1HTOJiIiIiIiIiAQ2i9kBREREREREREREREREROT4qfEnIiIiIiIiIiIiIiIi4gfU+BMRERERERERERERERHxA2r8iYiIiIiIiIiIiIiIiPgBNf5ERERERERERERERERE/IAafyIiIiIiIiIiIiIiIiJ+QI0/ERERERERERERERERET+gxp+IiIiIiIiIiIiIiIiIH1DjT0RERERERERERERERMQPqPEnIiIiIiIiIiIiIiIi4gfU+BMRERERERERERERERHxA2r8iYiIiIiIiIiIiIiIiPgBNf5ERERERERERERERERE/IAafyIiIiIiIiIiIiIiIiJ+QI0/ERERERERERERERERET+gxp+IiIiIiIiIiIiIiIiIHwgyO0Bj83g8AJSUlDTa13A4HFRUVFBSUoLNZmu0r+NtVLfqDgQOh4OqqqqArDtQn2/VrbobUv3xR/3xiDdr7GMm/Zyp7kAQqHWDjplUd2BQ3Tpm0jmmxqO6VXcg0PGS6g4Eqts7jpcMj7cfVR2nzMxMUlJSzI4hIiIiASwjI4Pk5GSzY/whHTOJiIiI2bz9mEnHSyIiImK2Izle8vvGn9vtZt++fURGRmIYRqN8jZKSElJSUsjIyCAqKqpRvoY3Ut2qOxCobtUdCFR349Xt8XgoLS2lVatWWCzePWG9sY+Z9HOmugNBoNYNgVu76lbdgUDHTP+jc0yNR3Wr7kCgulV3IFDd3nG85PejPi0WS5NdLRYVFRVQP8z1VHdgUd2BRXUHFtXdOKKjoxvtsRtSUx0z6ecssKjuwBOotavuwKK6G4cvHDPpHFPjU92BRXUHFtUdWFR34zjS4yXvvYxKRERERERERERERERERI6YGn8iIiIiIiIiIiIiIiIifkCNvwZgt9t55JFHsNvtZkdpUqpbdQcC1a26A4HqDqy6zRKo32/VrboDRaDWrrpVdyAI1LrNEqjfb9WtugOB6lbdgUB1e0fdhsfj8ZgdQkRERERERERERERERESOj1b8iYiIiIiIiIiIiIiIiPgBNf5ERERERERERERERERE/IAafyIiIiIiIiIiIiIiIiJ+QI2/o7R7926uueYa2rVrR2hoKB06dOCRRx6hpqbmD+/n8Xh49NFHadWqFaGhoQwfPpxNmzY1UeqG8+STTzJkyBDCwsKIiYk5ovtcddVVGIbxq48TTzyxcYM2sGOp2x+e8wMHDnD55ZcTHR1NdHQ0l19+OUVFRX94H198vl999VXatWtHSEgI/fv3Z9GiRX/4+QsWLKB///6EhITQvn17Xn/99SZK2rCOpu4ff/zxd8+rYRikpaU1YeLjt3DhQs466yxatWqFYRhMnz79T+/jD8/30dbtD8/3pEmTGDhwIJGRkcTHx3POOeewdevWP72fPzzf3iKQj5l0vKTjJR0v+c/rqY6XdLx0OP7yfOuYyVw6Xgq84yXQMZOOmX7NX15PdcykY6bD8Yfn2xePl9T4O0ppaWm43W6mTJnCpk2beP7553n99de5//77//B+zzzzDM899xyTJ09mxYoVJCYmMmrUKEpLS5soecOoqanhggsu4IYbbjiq+40dO5bs7OyDHzNnzmykhI3jWOr2h+f80ksvZe3atXz33Xd89913rF27lssvv/xP7+dLz/fUqVO5/fbbeeCBB1izZg1Dhw5l3Lhx7N2795Cfn56ezumnn87QoUNZs2YN999/P7feeitffPFFEyc/Pkdbd72tW7f+6rnt1KlTEyVuGOXl5fTu3ZvJkycf0ef7y/N9tHXX8+Xne8GCBdx0000sXbqUuXPn4nQ6GT16NOXl5Ye9j788394ikI+ZdLyk4yUdL/nH66mOl3S8dCR8/fnWMZO5dLwUeMdLoGMmHTP9j7+8nuqYScdMR8KXn2+fPF7yyHF75plnPO3atTvsv7vdbk9iYqLn6aefPnhbVVWVJzo62vP66683RcQG9/bbb3v+v737C626/uM4/tLclHIdqrWdQ5FK0XaxpGmtnZDGFJaxwroIC4lzk2Sk0B+K3VU3kVAmRAmC7MKiLnSDygIXnTOJndTFQRcjjLRlrjUVWQMjK99d1O/8dvKc7845O+d8z/ez5wMG7bvPaZ83LzyfF3zcDIVCea2NxWK2YcOGsu6nUvKd24XMR0dHTZJ99dVX6WfJZNIk2bfffpvzdUHLu62tzbZs2ZLxrLm52Xp6erKuf+mll6y5uTnj2VNPPWXt7e1l22M5FDp3PB43SXbhwoUK7K4yJFl/f7/nGlfynimfuV3Me3Jy0iTZ4OBgzjUu5l1t5ltnoi95cyFv+hJ9aSYXz0/6Um4u5m1GZ6oG9KXcgnZ+zobORGdy5f2UzkRn8uJi3kHoS/zEXwlMTU3p+uuvz/n1U6dOaWJiQl1dXelnixcvVkdHh4aGhiqxRd8lEgk1NDTo9ttv1+bNmzU5Oen3lsrKhcyTyaRCoZDuueee9LP29naFQqFZZwhK3pcuXdLXX3+dkZMkdXV15ZwxmUxesf7+++/X8PCw/vjjj7LttZSKmft/WltbFYlEtG7dOsXj8XJusyq4kPdcuJT31NSUJHme1/M970qgM3kLyvlZKi7kTV+iL2Xj0vmZDxfyngvX8qYz+Y++5C0o52cpuZA5nYnOlI1rZ+hsXMh7LlzKOwh9iYu/Ofr+++/19ttva8uWLTnXTExMSJIaGxsznjc2Nqa/5rIHHnhA77//vr744gu9+eabOnr0qNauXavff//d762VjQuZT0xMqKGh4YrnDQ0NnjMEKe9z587pr7/+KiiniYmJrOv//PNPnTt3rmx7LaVi5o5EItq9e7f279+vvr4+NTU1ad26dTp06FAltuwbF/Iuhmt5m5mef/55rVmzRi0tLTnXzde8K4XO5C1I52epuJA3fYm+NJNr52e+XMi7GC7mTWfyH33JW5DOz1JyIXM6E51pJhfP0Hy4kHcxXMs7KH2Ji79/vfLKK1n/kcmZH8PDwxmvGR8f1/r16/Xoo4/qySefnPV7LFiwIONzM7vimR+Kmb0QGzduVHd3t1paWvTQQw/ps88+04kTJ3TgwIESTlG4cs8tVWfmhcydba+zzVCteXspNKds67M9r3aFzN3U1KTNmzdr1apVikajevfdd9Xd3a033nijElv1lSt5F8K1vLdu3arjx4/rgw8+mHXtfMy7UPO1M9GX6Ev0JfqSRF/KxZW8C+Fi3nSm0qEvza++JNGZ6Ez/R2f6B50pO1fyLoRreQelLy0q+3cIiK1bt+qxxx7zXLN8+fL0f4+Pj6uzs1PRaFS7d+/2fF04HJb0zy1vJBJJP5+cnLzi1tcPhc4+V5FIRMuWLdN3331Xsv9nMco5dzVnnu/cx48f1y+//HLF186ePVvQDNWSdzb19fW66qqrrvgbSF45hcPhrOsXLVqkG264oWx7LaVi5s6mvb1d7733Xqm3V1VcyLtUgpr3tm3b9NFHH+nQoUO6+eabPdeSd37ma2eiL+VGX6Iv/ZcL76f0pfy5kHepBDlvOlNp0Zdyc7EvSXQmL3QmOlM+gnyG5suFvEslqHkHqS9x8fev+vp61dfX57X2zJkz6uzs1OrVq9Xb26uFC71/cHLFihUKh8MaGBhQa2urpH9+//Hg4KC2b98+573PVSGzl8L58+d1+vTpjLLih3LOXc2Z5zt3NBrV1NSUjhw5ora2NknS4cOHNTU1pXvvvTfv71cteWdTW1ur1atXa2BgQI888kj6+cDAgDZs2JD1NdFoVB9//HHGs4MHD+quu+5STU1NWfdbKsXMnU0qlarKXEvJhbxLJWh5m5m2bdum/v5+JRIJrVixYtbXkHd+5mtnoi+Vngt505foS7MJ2vlZDBfyLpUg5k1nKg/6UmVU0/lJZ/JGZ6IzzSaIZ2ihXMi7VIKWdyD7kqEgZ86csdtuu83Wrl1rP/30k/3888/pj5mampqsr68v/fnrr79uoVDI+vr6bGRkxB5//HGLRCL266+/VnqEORkbG7NUKmWvvvqqLV261FKplKVSKZuenk6vmTn79PS0vfDCCzY0NGSnTp2yeDxu0WjUbrrppkDNXujcZm5kvn79elu5cqUlk0lLJpN2xx132IMPPpixJuh5f/jhh1ZTU2N79uyx0dFRe/bZZ+2aa66xH374wczMenp67IknnkivP3nypF199dX23HPP2ejoqO3Zs8dqamps3759fo1QlELnfuutt6y/v99OnDhh33zzjfX09Jgk279/v18jFGV6ejr951eS7dixw1KplI2NjZmZu3kXOrcLeT/99NMWCoUskUhknNUXL15Mr3E172oxnzsTfYm+RF9y4/2UvkRfcr0vmdGZ/EZfmn99yYzORGdy7/2UzkRncr0zBbEvcfFXoN7eXpOU9WMmSdbb25v+/PLly/byyy9bOBy2xYsX23333WcjIyMV3v3cxWKxrLPH4/H0mpmzX7x40bq6uuzGG2+0mpoau+WWWywWi9mPP/7ozwBFKnRuMzcyP3/+vG3atMnq6uqsrq7ONm3aZBcuXMhY40Le77zzji1btsxqa2tt1apVNjg4mP5aLBazjo6OjPWJRMJaW1uttrbWli9fbrt27arwjkujkLm3b99ut956qy1ZssSuu+46W7NmjR04cMCHXc9NPB7P+mc5FouZmbt5Fzq3C3nnOqtnvk+7mne1mM+dib5EX6IvufN+Sl+iL7ncl8zoTH6jL82/vmRGZ6IzdWSsd+X9lM5EZ3K5MwWxLy34d+MAAAAAAAAAAAAAAsz7F4cDAAAAAAAAAAAACAQu/gAAAAAAAAAAAAAHcPEHAAAAAAAAAAAAOICLPwAAAAAAAAAAAMABXPwBAAAAAAAAAAAADuDiDwAAAAAAAAAAAHAAF38AAAAAAAAAAACAA7j4AwAAAAAAAAAAABzAxR8AAAAAAAAAAADgAC7+AAAAAAAAAAAAAAdw8QcAAAAAAAAAAAA4gIs/APiPs2fPKhwO67XXXks/O3z4sGpra3Xw4EEfdwYAAFA96EwAAADe6EsA/LDAzMzvTQBAtfn000/18MMPa2hoSM3NzWptbVV3d7d27tzp99YAAACqBp0JAADAG30JQKVx8QcAOTzzzDP6/PPPdffdd+vYsWM6evSolixZ4ve2AAAAqgqdCQAAwBt9CUAlcfEHADn89ttvamlp0enTpzU8PKyVK1f6vSUAAICqQ2cCAADwRl8CUEn8G38AkMPJkyc1Pj6uy5cva2xszO/tAAAAVCU6EwAAgDf6EoBK4if+ACCLS5cuqa2tTXfeeaeam5u1Y8cOjYyMqLGx0e+tAQAAVA06EwAAgDf6EoBK4+IPALJ48cUXtW/fPh07dkxLly5VZ2en6urq9Mknn/i9NQAAgKpBZwIAAPBGXwJQafyqTwD4j0QioZ07d2rv3r269tprtXDhQu3du1dffvmldu3a5ff2AAAAqgKdCQAAwBt9CYAf+Ik/AAAAAAAAAAAAwAH8xB8AAAAAAAAAAADgAC7+AAAAAAAAAAAAAAdw8QcAAAAAAAAAAAA4gIs/AAAAAAAAAAAAwAFc/AEAAAAAAAAAAAAO4OIPAAAAAAAAAAAAcAAXfwAAAAAAAAAAAIADuPgDAAAAAAAAAAAAHMDFHwAAAAAAAAAAAOAALv4AAAAAAAAAAAAAB3DxBwAAAAAAAAAAADiAiz8AAAAAAAAAAADAAX8DZ02p+GwkFYEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1800x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def F(x, r):\n",
    "    return (r - x**2) * (2*r - x**2)\n",
    "\n",
    "x = np.linspace(-2, 2, 400)\n",
    "\n",
    "y_neg = F(x, r=-1)   # r < 0\n",
    "y_zero = F(x, r=0)   # r = 0\n",
    "y_pos = F(x, r=1)    # r > 0\n",
    "\n",
    "# Plotting\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(18, 6))\n",
    "\n",
    "# r < 0\n",
    "ax1.plot(x, y_neg)\n",
    "ax1.axhline(0, color='gray', lw=0.5)\n",
    "ax1.axvline(0, color='gray', lw=0.5)\n",
    "ax1.set_title(\"r < 0\")\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('dx/dt')\n",
    "ax1.grid(True)\n",
    "\n",
    "# r = 0\n",
    "ax2.plot(x, y_zero)\n",
    "ax2.axhline(0, color='gray', lw=0.5)\n",
    "ax2.axvline(0, color='gray', lw=0.5)\n",
    "ax2.set_title(\"r = 0\")\n",
    "ax2.set_xlabel('x')\n",
    "ax2.grid(True)\n",
    "\n",
    "# r > 0\n",
    "ax3.plot(x, y_pos)\n",
    "ax3.axhline(0, color='gray', lw=0.5)\n",
    "ax3.axvline(0, color='gray', lw=0.5)\n",
    "ax3.scatter(-np.sqrt(2), 0, color='black', zorder=5)\n",
    "ax3.scatter(-1, 0, color='black', zorder=5, facecolors='none')\n",
    "ax3.scatter(1, 0, color='black', zorder=5)\n",
    "ax3.scatter(np.sqrt(2), 0, color='black', zorder=5, facecolors='none')\n",
    "ax3.set_title(\"r > 0\")\n",
    "ax3.set_xlabel('x')\n",
    "ax3.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5e606b8-faae-4891-bd20-f87163397437",
   "metadata": {},
   "source": [
    "## Question 3\n",
    "Draw the bifurcation diagram for the system in Question 2.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "c7412655-7833-4d1b-b86b-a2cb05d6ac55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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",
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "r = np.linspace(0, 10, 400)\n",
    "\n",
    "y1 = -np.sqrt(2 * r)\n",
    "y2 = -np.sqrt(r)\n",
    "y3 = np.sqrt(r)\n",
    "y4 = np.sqrt(2 * r)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.plot(r, y1, label='-√(2r)', linestyle='-')  # Normal linestyle\n",
    "plt.plot(r, y2, label='-√(r)', linestyle='--')  # Dashed linestyle\n",
    "plt.plot(r, y3, label='√(r)', linestyle='-')    # Normal linestyle\n",
    "plt.plot(r, y4, label='√(2r)', linestyle='--')  # Dashed linestyle\n",
    "\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x*')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.grid(True)\n",
    "\n",
    "plt.show() ## i.e., fixed points only for r >=0, and it's a saddlenode bifurcation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ef3a3d55-ddb5-40c0-a65c-26b55db85409",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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