{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "ecc40977",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "l = 0.5\n",
    "k = lambda x, z : np.exp(-0.5*(x-z)**2/l**2)  # covariance function\n",
    "K = lambda X, Z : np.array([[k(x,z) for x in X] for z in Z])  # create covariance matrix\n",
    "\n",
    "x_plot = np.linspace(-5, 5, 300)\n",
    "\n",
    "μ = np.zeros_like(x_plot)\n",
    "Σ = K(x_plot, x_plot)\n",
    "\n",
    "for i in range(3):\n",
    "    y = np.random.multivariate_normal(μ, Σ)\n",
    "    plt.plot(x_plot, y) # '-o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "09585066",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(Σ)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "6d7e3f07",
   "metadata": {},
   "outputs": [],
   "source": [
    "def predict(x_train, y_train, x_test, σ):\n",
    "\n",
    "    Σaa = K(x_train, x_train) + σ**2*np.eye(len(x_train))\n",
    "    Σbb = K(x_test,  x_test)\n",
    "    Σab = K(x_train, x_test)\n",
    "        \n",
    "    μ_pred = Σab @ np.linalg.solve(Σaa, y_train)\n",
    "    Σ_pred = Σbb - Σab @ np.linalg.solve(Σaa, Σab.T)\n",
    "    \n",
    "    return μ_pred, Σ_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "3383c80e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ai3VO0o79TGc+TimdbLWRq9P6bot/Q14GZRYTbaEID9Q0J+3YyUQTIhoAOENhmoNhAKYkOyJiF/s74gkQUj78XQA1NDQGJlZ6GzOeDpVYROTDIETeO9LMu4eaMOpkfnvdXPR9CK8vrpDQyxHcQStvH0nOZTegKPytug2Aq3kKT+eOPrfTyxLfLMkF4OG6VsKn4DlYEyIaAByLlnzlGvU49Ml1qRebjTh0MiFVpTxamaOhofHRJS5E8kYuRE7lFuaKovLbNw4DcMuKEqbk9m3MDfmPAFDtKuKB9ZVJeU+vNjtpDYXJ1vlZyfvRqb59c3lOGhkGHfWBEGvaTr3JxpoQ0QCgPDoLZpI1udEQEOYzzbCqoXH6EE/NDDcikmkBCdRABMUdSubSksrr+xvYX9eJ3aTni6sn9budyy38IfXeIg7Ud7LxWOuIj/3vqPn0ukwVHQrOAYSISZa5PjcDgMfqR37sZKMJEQ2gKyIyeZRqzTUhovFRxxtR+Ed1MxduO8yn9xzn9WbnKX03P1oowQjhVvE9H25ERNLL6NLFTVH4FDWsqqrKX9aUA3D7ylIybMZ+t3W7DwKQnyX8IU9srR7RsY96/Gzs8CADt06cCoDXW0Ew2H9lzCcKMgF4q7WTpsCpJe40IaIBEE+ZTBolIdJlWNVSMxofPXwRhWt2lvOj8lr2uHy81drJLfsquK/61DQHjibhRi+oINsM6Bz9X5wH41T3iWw63sb+uk7MBplblpf0u52qqnEhcua0ZQC8daARb9STNxyebBDekPMyU5hgz8RmE2Kkw7m939dMs5mZ77ASUeG1Fuewjz0aaEKkN6oK6/8If5gDP8+Ff38MWj/80w0HIxYRGY3UDHQZVg9oJbwaHzFUVeWbh6vZ5fKSrtfxiymF3FKYBcBPj9Xxflvf1QwfVUZqVI1hiJXwnqJC5J/rjwNw3aIi0geIhvj9tYTDLiTJyILSuUzMtOILRXj7YNOwjquqKi82dYhj56UDkJa2GABnR/9CBOCy7FQAXmvWhMipixKBF74Eb/8YnFUQ9sPx9+DvK6Fq03ivbtSIqCoVUY/IlFGKiEyLtnpvDoZpDp5aYUENjZHwQlMHzza2o5PgH7NLuL0om7umFHJjXgYK8I1DVadVtVisG6ohN/FBd30Rj4g0n3rdVStbPHEhcduK0gG3dUf9ITbbZHQ6E1fMLQDgxV11wzr2LpePKn8QiyxzfmYKAGmpQogMZFgFuCQqRNZ3uHCGhh+RSTaaEOnOln/ArsdA0sElv4YvrIWJKyDkJfLM53j50FPc+c6dXPHcFXzmtc/wjz3/wBP6cA9mAqjxBwkoKiZZosg8/FDqQNh0OsosQuRoPhGNjwphReU3FQ0AfG1iLiujw8UkSeJXU4vIMuipDYR4vql9PJc5poSahHDQj1SIZEY9Im2nXjr38S1VAKyemk1Z9sCdY10ukZZx2GcAcOV8IUTeP9KEyz/0m7IXop+lC7JSsOlEhWNq6qLosfYTifQv3CZbzUyxmgir8HbrqVM9owmRGJ318O7Pxc+X3A1LvwD58+CmJ6jKmMCNtiDf2/xT3q95n8rOSnY07eBPO//EDS/dwIHWA+O79hFSHk3LlFhM6KTEp2QOlRnR9MwhzSei8RHhv41tHPMFyDDouKM4p8dzFp3M54uzAfhzVRPKaWJcDTdGUzO5I0vN6DLE+SLS5j+lTL+BcISnttcA8MmlEwbd3u0R5b12+3QApuY6KM2yEYqofFA+tAoWVVV5KZqW+VhOWvxxs7kQkzEXVQ3T6do/4D4uzRave71FEyKnHm//Pwi6oGgJLL49/vDOzmN8ItPGYZMRR0Thf6Z+nPsvuJ8fnfkj8mx5VLmq+Owbn6XCWTF+ax8hx6JG1dGqmIkxLdoo7bDWS0TjI4Cqqvz5hAjPf3lCLvY++u98piATu07msMd/WnhFFH+YiDMIdHVHHS76NLMo4Q0pKJ5TJ537+r4G2jxB8lLMnDs9Z9DtPZ6jANjsU+OPrZ4qBOr7R4bmE9nv9lEbCGGRJc7NSIk/LkkSKalihk1n5+4B93FBNJ2zrt1F5BQReJoQAREN2fe0+PmSX4Msfi0HWw9yx9t34Ax7mIOZF2vruKO5kWUFy7hh2g08fcXTzMuehyvk4ivvfoXO4KmjMIdCLCIyyTK6QmR6dOaMFhH5aBAJh2irqyUSPnVyzWPJBx1ujvsC2HUyN0dLI3uTatBzXZ7o3/Bic8cYrm58iKVlxARdw4j2JRnkeNXNqZSeeTJaenvjkuI+u6h2JxIJ4POdAMBumxJ//JyogFlzqHlI0Z43o+mUszIcWHodO8WRmBCZ77CSopfpCEfY4zo10uSaEAHY/i9QwjBhGRQuBKDB08Adb9+BJ+Rhce5i/rnqN2RFFNj9OLhETjjVlMofz/kjebY8KjsruWf7PeP5LoZNvIdIklu792Z6t4jI6RKm/igSCYd4/9EH+fsXP8O/vv4F/nzLDbzyp9/gc3/07/i781idCKtfk5uObYBuxFdEDYKvNzs/8qbVcJKMqjHi6Zn2U0OI1Hb42Hhc/N2vW1Q06PZe73FUNYJen4LR2BU9WVqagdkg09Dp51BD4t+bN6PplAszU096LjZMr7Nzz4D70MsSK9KEl2ld+6nxndWESDgI2/4lfj7j8wAEI0G+8d43aPW3MjV9Kn86909Yys6G4qUQCcLOR+Ivz7Jk8cuVvwTgqSNPcajt0Fi/A6qqqtiwYQPvvvsu5eXlRCJDm7AYFyKjHBEptZgwShLeiEK1Pziqx9IYHSLhEC//8W62vfQsflcnsk5HOBTk0Afv88i3v0JL9YnxXuKY0BYK80q0BPKT/URDYpyZZifLoKc9HOGDjlPjxD9axCtmcpIjRPSxpmZtgaTsb6Q8t6MGVYUzyzIozhj8PcbTMrYpPQbhmQ06lk8SJd7vHU6s10xTIMQul/j9xqplupOSMgeQ8PtrBmxsBrAqXRhsT5V0oSZEjr4Bniaw58GMKwD47bbfsrdlLynGFO455x4cxuj8gAWfFv/ufabHLpbkLeGikotQUbl7y91jtvT29nb+/e9/8+CDD/Lmm2+ydu1aHn30Ue69917q6hIrDXOFIzREy2lHq5lZDL0sxX0ohz2nxh2OxtBY89A/KN+6CZ3BwGVf+RZffeRZbvrZb0jPL8DV2syzv/p/eDo++hUiLzZ1EFRVZtstzHMMfEHSSRKXRqMiLzedWv0bkk2yKmZinEoREVVVeWaHmKB77cLBoyEAHo+YMWO3TT3puVVThBDZcGxg0RDj7eiMmHkOC7mmk9Neer0Dq1W0mR8sKrI6Q1zTtjo9eCNKQscfTTQhcuAF8e+c60BnYG3NWh4/9DgAd626iyJHtw/cjCtAZ4Tmg9DY05n8zUXfxCAb2Na4jV1Nu0Z92U1NTTz44IMcP34cWZaZMWMG8+bNw2q10tHRwT//+U8OHRo8OhOLhmQZ9KQa9KO9bKZHO6xqQuTDR0P5EXa//RoAV37j+0xfsRpZp6Ng6gxu+vnvSM8vxNXSzAu//TnKEKNyHzZejlYuXJ2bntD2l0crFd5s/Wi3fQ83JTc1o884dUp4d1R1UNHiwWLQccmc/IRe4+4WEenNskkikratsp1QAmJgbTR6cV4f0ZAYqdH0jHMQn0iZxUShyUBQVdnqHP8WFKe3EAn54fDr4ueZH6PN38b/ffB/AHxqxqc4q+isnttb0mDKheLnvU/1eCrfns/lZZcD8PD+h0dz1XR2dvLwww/jcrnIzs7mzjvv5MYbb+Tqq6/my1/+MlOnTiUSifDMM8/Q2Ng44L7GqmImRswnckgTIh8qVEXhnX/9HVSVmavOoWzhkh7PW+wOrv7ujzHZbNQfPcy2l58bp5WOPi3BMBs63ABcnn1yrr4vzki1YZIlmoLhuDn8o4YSCBPpEO8t6amZUY6IhMNhPvjgA1577TU2btxIIHDy3+jZHaJk9+LZedhNid20xSIifQmRqTkO0q0GfKEIe2o6BtyPqqqsbxefuVXpfU/4BUhJScywKkkSy9JEemaz0z3gtmPB6S1Ejq8RJbuOAtSCRfxkw09o9bcyOW0yX1341b5fM+d68e++Z0U7+G7cPPNmAN6peoeqzqpRWXJMYHg8HnJycrj11lvJyMiIP2+xWLjxxhspKysjFArxxBNP9PmlilEeH3Y3ukbVGNPiQuTUcGtrJEbFru00lB/BYLaw6pO39rlNel4BZ9/8OQA2PPUYbXW1Y7nEMeO1lg4UYK7DwsQEfVVmncySFNFX44OO8T/xjwbhJvGdlh2GEVfMxOhKzQRQR8no63a7eeihh3jrrbfYvHkzb7zxBo899liP86Y/FOGl3SLdnWhaJhLx4/OJCpvupbsxZFliaamIimw63jbgvg57/bSEwlhkiYUp/Yu8LiGyZ9DI2xmp4vO4pUOLiIwvB14U/868kueOv8C71e+il/X8atWvMOv7uTBPuQB0Jug4AS1Hezw1OX0yqwpXoaLy1JGn+n79CNmwYQMnTpzAaDRy4403YrWe/KHU6XRcd911pKam0t7eztq1a/vd3zFfbMbM2EZEyr0Bwh/xCoKPErveeBmAueddhD09o9/tZq0+j4lzFxAJhXj/0X+O1fLGlJjP44pouiVRVkQNgutPkUqFZBNKUiOz7uhSjKCTQFGJOJMfSVIUhSeffJKamhrMZjPLli3DZDJRVVXFf//73/jF/J2DTXT6w+SnmuMplcHweisAFb0+FaOh79ecWSa+S5uOD9zYLBYNOSPVjknu/7Jtt09Dlo2Ew8542XB/nJEm/k7bO73jXs11+goRRYHytwConLCEX235FQBfXvBlpmVM6/91RhtMXC5+Ln/7pKevnXotAC8ff5mwktz+Ck6nMy4qLr30UjIz+/9CWK1WLr30UgA2btxIS0vfhqhyz+hO3e1NsdmIRZYJKCqV/iGeWMIBqNkm5v60nx7VGacCHQ31VOzeAcC8Cy8dcFtJkjj31i8gyTLHt2+hev/AprkPG+5wJJ6WuSTBtEyMWPv3DR3uj2T5esyomqy0DIAkS+jTxLlpNHwiu3btorq6GoPBwO23385FF13EzTffjF6v59ixYxw7JgaePhNNy1y9oBCdnFj3aa9XDMWzWst6VMx0Z1m0cmZrZRvBcP8+kQ+iQmRl+sDt5GXZiN0+CxjcsDrVaiZdr8OnKOx1j+88n9NXiDTtB08zIYON7xz/L76wj6V5S7ll1i2Dv3by+eLfqJDpzlmFZ5FmSqPF18LGuo1JXfJbb71FKBRiwoQJzJs3b9Dtp02bxpQpU1AUhbffPlk0qapKhU+U0Y6VEJElqSs9k2hjM2etGEZ4VzE8cB48eBHcMxfuOwt2P3FSikwjuex++zVQVUrmLyI9r2DQ7TMKiph73sUAvP/ovz5S5sy17S5CqkqJxTjkBoDzHVasOpm2UOQj6ZGK9RDRJ1GIAOiiPpFkR0R8Ph9vvSXO4eeccw7Z2aLbaWFhIYsXiyFya9asoanTz/tHRInttQn0DokhIiJgs/Y/FG9Kjp1UiwF/SOFQQ98NMSOqGhe/KwYRItC9n8jAPhFZklhyiqRnTl8hcmwNAPcWT+FA20FSTan8YuUvkKUEfiVTLhD/Vn4AwZ5K0qAzcGmpuGt84dgLSVtufX09+/btA+CSSy7pV2H35sILhbn20KFDNDX1bCfcHAzjUxRkRKRirIi3ek/kZHzoVfjzEtj5KEQCYM2E9FKQ9VC/G577Ajx6LbgTq8XXGBqqqnJ4wzoA5p5/ccKvW379JzCYzDQeP0plNJryUSA2KOz8zJSEv4MxDLLEGVGfyOZToFIh2SRr6m5vdKlC8MWMsMlix44d+Hw+srKyWLp0aY/nVq5ciV6vp7a2lv++u5WIojK/OI1Jgwy4605MiFitZf1uI8sS84vTANhZ1dHnNntdPpzhCA6dzFz74L/b1AQNq9DNJzLOn8fTV4gcX8Mms4l/qcIk9JNlPyHXlpvYa7OmQuoEcWGsXHfS01dOvhKA96rfwxtKTsgrlpKZPXs2+fmJlY4BZGdnM2OGmPq4fv36Hs9VRv0hBWYDxgHyjskm4cqZ7Q/BE5+AkAeKzoDb3oBvHYOv7oL/PQrn/lD4dY69A/+6GDpGxyB8OtN47Ciu1mYMJjOl8xYl/DpralpcuGx+7r+jtbwxRVVV3ukmRIbDgqjRcFfnqTfafiQogUhcKCQ9IpKWfCGiKApbtmwBYPny5eh0PTvj2u12Fi4UXbYP7Rc3gEOJhkDP1MxALJwgSsB3VPXdfyfmKVqWZkefQFooFhFxufejKAPP6DkzzU6BydBnX5Kx5PQUIiE/9TWb+E6OyM9dP/V6zpt4XuKvlySYdLb4uQ8hMjNjJkX2IgKRAOtr15/0/FBpamri4EExSvqss84aZOuTWbVqFQB79+7F6exqqHQi2t20xDw2aZkY0xOpnDn8Orz8dUCFRbfAra/ChDPF7x7AmgFnfQu+sBZSi6G1HB66DNxDGyKlMTBHt2wAoHThEvTGoUXNFl1+FTq9ntpD+6k5uG80ljem7HP7aAyGschyvPRxqMSEyNbWWo4fv4eGxpdQkuwlGw9i/UNkuwGdLbkXtbhHJIlC5PDhwzidTiwWC3PmzOlzm9jjqcFmLDq4Ym7iN4CqquL1xSIiJQNuu2BCGtB/RCRWZTVQ2W53LJYS9PpUFCUYn/zbH4tSrOxYPou7pg5NZCWb01KI+CrX8tXMFNp0OqanT+dbS7419J1MXCn+PbHhpKckSeK8CULYvFP1zkiWCohKGYAZM2aQkzP4tMfeFBQUUFJSgqqq7NjRFSaPRUQmWsYuLQMw3S6EyHFfgIDSh0Gr5Sg8fRuoiuhme/kfQdfPyS1nuoiUpJeKiMjjN0FIKw1OBqqqxoXIlDOWDfn1jowsZq0WfqrNz49OFdlYEmuHvTJ94MqFgZiEuEuuCJo4UHk/+/d/jX37v0wk8uHuLTIaRtUYoxER2b59OwALFy7EYOj73FJUVARGKwZJ4eJihTRr4ufJYKiVcNgFSFgsJQNuOy+amqlq89Li7vkeg4rCpqh/YzCjagxJkkhxCBE1mGF1qOnF0eK0FCJPNG7koMlIumTgnnPvwaIfxrjqWOVM/W4InNwX4PyJ4gS8rmYdocjwR1h7PB727t0LiBDicFm0SITVd+zYEZ9FcyJqVE20F0KyyDMaSNHLRFQ43ru5UyQsfB8hD5Ssgsv/0BUF6Y/UQvjk02BJh9pt8Pp3R2/xpxFttdW019ehMxgoW7B4WPtYcuW1SJJM5a7tNB4vT/IKx5ZYCeVZCd6Z9sbvr6f24OfIVJtRJRlXxu3IspHm5jfZt/8rH2pTb8wfkqzW7t3pLkSS8TvyeDzxapgFCxb0u11YUSkPibTJJEPHkI7h9QjBaTYXodMNfH5NtRiYnCNExq5eUZGdnV58ikKmQR/31iWCI0UIEVfn3iGsevw4LYXIp5f/gFtn38rvLryPAvvgVQB9klYsUgJKGGq2nvT03Oy5ZFmycIVcbG7YPOy17ty5k0gkQn5+vlDow2TGjBlYrVZcLhdHj4r+J11CZGwjIpIkMd0mxN9JPpEP/gi128GUClff138kpDdZk+H6hwBJeEtiPWI0hs2JPTsBKJoxG6NleBeYtLx8pq8Q6cTNz394vSIBRYl3oEz0zrQ7ihJm//6vEwq1M00vuh23ZXyKefMeRJKMtLS8TWvb+0ld81gSHoUeIjFiqRk1GEH1jTyNdejQIVRVJS8vj6ysrH63e/9wMwf9okTb2VA1pGGiXf6QkoS2XxhNz/T2icTE74p0O/IQohcpUSHS6dKEyCmLXtbzjUXfYEneksE3HohYVKSP9IwsyZxdfDYAa2v6byg2EIqisG3bNgDOOOOMHmE0v9uN3514h0a9Xs/8+fMB4umZE9E+HhPH2CMC/RhWnTWw9rfi50t/LSIdQ6HsbFj5NfHzS18BT2LDpDT65sQ+4bqfMHvwUvGBOONj1wFwdMtGOhobRryu8WC704tPUck26uOf3aFQ3/AMHc6t6HR2VhWI6NLOTg8Z6csoLhYdmY8evetD6xcZrYoZAMmgQ476TpLhE4lVH86aNWvA7Z7ZUUOragW9kVAoRG1t4p2Cu/whAxtVYyyIGlZ7+0TWR6c1rxyiJymWmvF4jhCJnPql4qelEEkaMSFS1Xe/kJWFwkeyoe5koZIIFRUVdHR0YDabmT17NqqqcmjDWh7+3y/xl9s/zl8+exOPfPerVOzantD+YkKkvLycVpebpqA46ZWMcUQE+mn1/vb/g7APJiyHuTcOb8fn/ADy5oCvHV7/3sgXepqiRCLUHBAn7Ilz5o9oX1kTSiiZvwhUlZ2vv5SE1Y0969q7LghDzasrSoCKinsBKCv9KksyhcDe7RKf/ZKJX8JgSMfrLaex8cP3+xnNipkYyfKJuN1uKisrgYGFSJsnyNsHGwGJogkTAXE+TpSuHiKJCpE0AHbXdBCJdjn1RhS2O4XAWznEdKDJlI/RmIWqRnC7DwzpteOBJkRGwoSoEKnZJrwNvViatxS9pOdE5wmqXdVD3v3u3eKOdPbs2cgSvPKn3/DKPb+mpTraVVRVaao4xrO/+n9sfenZQfeXk5NDbm4uiqLw3kHhpk7V60gbg6m7vTmpl0jt9uggQQkuvmtwX0h/6AxwxT0gybD3v3Ds3eQs+DSj4dhRgj4vZpud7JL+GzIlyqJLREn7vjVvEvB++EpXExk41h+1tU8QCNRjMuVRWPhJZkUnUFf7g7jCEQyGFIqLbgGgrv7DZ+odzYqZGHEhMsKmZkePHkVVVfLz83vM6OrN8ztrCUVU5hSmMne6GFgXEzCJ0JWaSey7MyXHgd2kxxuMcKRRiN6tTg9BVaXAZKB0iDeLwrAaa2x26qdnNCEyEjInCy9D2AfNB0962m60Mz9nPgAbaocWFfH7/Rw4IJTs3DlzePmPd3N4w1pknY5l193EHf94jC/e9whzzrsIVJW1jz7I0c2DHyNWkra5QoiZsfaHxIh5RE74gngiEXjvbvHE3BuhYP7Idl64CM74vPj5jR+A8tEeST8aVEXTMsWz5iLLukG2HpyJ8xaSUVBE0Odj/3sndyQ+lXGHI+x0CQ9EIp0tu6OqEaqqHgCgpORL6HQm0g16CqJ9G2Kpyfz8awCJjo7N+Hwfrn44XTNmRicaAskr4Y3546ZOPXkIXQxVVfnvNnHjeMPiIkpLhZioqqoiFBq88EBRQvFhd4kKEZ0sMa9Y+FFiPpFY/5AV6UOPwkGXYbXTdeqPWdCEyEiQZSiMuq5rtvW5yYrCFQCsrxtaP5EDBw4QDofJzMykfM0blG/dhM5g4Orv/Jjl138Sa0oqtrR0LvjcnSy6/GoA3rzvT3S2DNxhdPbs2QAc7RQnj/HwhwBkGfVkGfSowNETe+DoGyKKsfrbyTnA6u+AORWaDsCu/yRnn6cR1QfEXdRI/SExJEli4aUiKrLz9ZdRPkTicJPTQ1iFCWbjkCvMWlrfwx+oQ69PIz/v2vjjM6JC/IBbpGfM5gIy0sW5or5+8OjmqUSXPyT5RtUYyUjNRCKReLXMlClT+t1uX20nhxpcGPUyV84rJCsrC7vdTiQSoaamZtDj+P01qGoYWbZgMuUlvL4FxT19IrEo3Mq04VVpdZXwnvo9fDQhMlIKo90ma/v2aawoECeXLfVbCA3S5a47MUNVaX4eO18TFSCXffXblMxb2GM7SZJYddPN5JZNwe9x8/6/Hxhwv2lpaRQVFeGyiJPGePhDYsTTM3teEw/MuR4yJyVn57GGZwBrfgHBj15L7dFCUSLUHxWpu8LpM5O235mrzsVss9PRWM/xHX0L91ORmD9k1TCqZWprHwOgoOC6HmWcM6O9dGJCBCA/XwiVhoYXPlSlvKNZuhsjGUKkurqaQCCAxWKhoKD/aslYNOTiWXmkWg1IkkRJSQkgoiKD4elWMSMlMjIkSldjs3Y6wxF2u2L+kOE1z4tVzni9xwiHEy9sGA80ITJS4kKk73ka0zKmkWZKwxv2cqA1MdOQx+OJG6Nq1othdXPOvZApS/puKqXTG7jojq8CcGTzBzSfGNhUNWPGDJxmcdIY6x4i3YlXznRGhz2t+mZyD3DG5yFtArjqYeNfk7vvjzCt1VWE/D6MFguZxROStl+D2SxSicCOV5M3h2m0WR8XIkO7M/X5qmltFRVzhQWf6PHczKhP5GC3qrHs7PORJCM+f1XcY/BhIDyKFTMxdCkj94jE0jKTJ09G7qchnT8U4YVdojrmhsXF8ccLC4XBOJHKma4ZM0PzVsUqZ441e3in0YkClFlMFA5zDpjRmIXZVACouFz7h7WPsUITIiMlJkSaD/bZ2EyWZBbninK9rQ0n9xvpi4MHD6KqKnajHk99LY7MbFZ/+rMDviZ7QglTl4lW7hueGjgVMX369HhEJE8avzuvWIfVQ7ZSmHwBZE9L7gH0Jjjvx+LnD/6otX9PkLojhwDImzQ1Kf6Q7sy/6DIkWaZ6/55BBfOpQEswzP7olOih+kPqG54HVDLSV2C1TuzxXEyEH3D74tEPnc5KeppoKdDa+uHoKaL4w3FxMBpdVWPoUsXFOOIKoirDO2clkpZ5Y38Dnf4whWkWlk/KjD8eEyJ1dXWDRqsSnTHTmwybkQkZ4nf4cl0rMPxoSIwPi09EEyIjxZEHKYWiHXl939MOF+cJIbKlfktCu4ylZYLVlQBc+MWvYLIO/iVfft1NIEmUb91IW13/yj0tIwOXWQiRcN3gOc/RYrpB+AQOW0th2f+MzkFmXwsFCyHohnW/H51jfMSoPyqESMHU6Unfd0pWDlOWinTljtdO/aZzH0T7OEy3mcnWSdB6LKERAqqq0tgooj55eVed9PxkqxmDJOGOKFRHZz4BZGaeDXx4hEistbvsMCJbR29wms5hBAmIqCjeoXeq9nq9NDSIHjYx82lfPLlVpGWuXVSE3G3AXF5eHpIk4Xa76YxFcPs91tBKd7szt0gYVrdGU3ZDFb+9+bBUzmhCJBkURA2rdX2nZ87IOwOAXc27Bm337na7OXFCVLQYXG3MPe9iSub234a4O5lFE+KtuPetebPf7RoCISKyjKwotEUvOuPB1GMvA1BnzqFzwtCH+SWEJMF5PxI/b38I3AObebujhkIEjh3D9d57dL71Fp6NGwk1fvSjKnVHRAVY/igIEYCF0VLeg+vfw+vsGJVjJIsPYmW7bdvgriK4dyH8ugyevn3Az5LLtQ+vtwJZNpOdfeFJzxtkiak2kW444O5Kz2RmrgagvWMLkcipX+Y8FmkZAEknx5uaRZzBQbY+mVjpbXZ2Ng5H3ym2Y81uNhxrRZbgxiXFPZ4zGo3xOV+DpWeGm5oBmF+chmqUaULM4Fo+zOGKMVI+JK3eNSGSDPLni38b+v5jT06bTLopHV/Yx96WgT8QR44cQVVVZJ+HtLQ0Vn/6tiEtZfa54qS3//13iIT77tIYa+1u93s5UVExpNbFSUNVSd3xAAV+cWE/3HvmTDIpO0ek0MI+2HjvIMtScX/wAbXf+AZHli3n+GWXU/PFO6j98leouvU2ylev5vjHrqL1nw+ifAj7YQyGt9NJe30dAPlTRkeIFEydTt6kKURCIXa//dqoHCNZrGsRpZSrjj4mPj+yHkJe2Pc0/ONcaOzb99XQKKI9WVnnodf3fTGZFq2cOertEiJWaxlmcxGqGqS9fVMy38qoMJodVXujS436RDqHfq6Iee4Giob8Z7Mwop47PYfCtJPnj3VPz/RHOOwiGBQCdThCZG5RGkq6eJ8zbGayjSOLMjkcokrS568iFOoY0b5Gk9NWiHQ0eXG1Jan1bV50jHR933k4SZLi6ZltjQNXC+zcKtI3encHF37hK0Oe8VG2YAm2tHS8zg6Ob+87FVQZbe2eHvITCASorh56s7URU7MVmg4wzSeiPz06rCYbSYKzomXBW/8J3rY+N/Ns3EjF1ddQfftn6Xz1NRS3G9lqxTRzBpYFCzBOnAiyTODwYZp+8xvKL7yIztdfH711jwONx4ShLz2/EIt9eGWDgyFKeT8GwO43XyUSHv5QyNGkxtlGRVBBp4ZZprbAZ16CHzbB7W9DRhk4q+Cx6076PKmqQlPTqwDk5V7Z7/6nWMUFp7sQkSSJjAzRkbm9I7FU7ngS6yEymhUzMXQpUZ9I59AjIsePC99Gf0LEH4rw9HaRpv7k0ol9bhOrtBkoIuKNns8Mhkz0+qF/f2YXpqBmis/FAuswhrH2wmBIxWIR7+dUTs+clkLk6NZGnvjZFt7/z+HklMnlizwcLUf6zR8vzBFlt7ub+/aRALidTmqianvmrNnDaq2t0+uZtfo8AA6s67uraFU0IjIh2lSpvHwcpqJufwiA6dHR2ofcozwPYepFQjAG3bDpbz2eirjd1H3nO1TdehuBQ4eQrVbSP/UpSp54nKnbtlL27LOUPP4fJr3xOlM3fEDeT36CoaiISEsLtV/7OvX/7/+h9hN9+rDRWCEMfbllk0f1OFPPXIEtPQNPRzuHNw6tx85Yse69fwAw33Mcxy0vQulZIOugeAl89h3R0LCzVkyLVpT46zo7dxMINKDT2cnIWNXv/idbhWH1qKfnHX5aqjDAOztO/RLn8Bj0EIkRFyJDrJzp7OyktbW1Rxlub17eU4/TF6IwzcJZU7P73CYWEamvr+/3uhFrRme1DK/azGrUo8sRn4vsYHIKCVJSoj6RU9iweloKkcwiO6qqcmJfK0e3NY58h458sGaBGhENtPog1mF1d/NuFFXpc5uXH3oAVZLRRcJccuvnhr2cacuF36Jy1w5C/pMv8JU+8UWenpEGdJW1jRlBLxwQRr5pRTOAbq3eRwtJ6uorsvk+8DsBCJSXU3H1NThfeBFkmfRPfpJJ77xN3g9/gGX+fKReZX66tDTSb7yBSa++QubnPw+SRMcTT1L79W+gBId+p3aq0RQTIqVJ6ufSDzq9gfkXXgbA9leeP/X6ZpS/zXqfMCuuLJ4MKfk9n7dmwPUPg94MR9+EPU/En2pqFlGyrMyzBxwBPyXqESn3+nu8/9SoEOl07TulB5Yp/nA8OjGaFTMx4iW8Q4yIxDx3eXl5WCx9Rxke2yy2+cTSCei6mVS7k52djSzL+P3+fg2rPq8QIrEoxFCp9QcJmHSgqoSakhMljjU2O5V9ImM/ZOQUwNV8FF/rPaiKyku/BZ1BB6qCElFQVQWD2YI1JQVLSirp+YXkT5lG2YLFpOb00yVPksTd9vE1wicSK+ntxrSMaZh1ZpwBJ5WdlZSl9nRUV+7ewbGK45CWzbRp0zANc+w6QPbEUlJz83A2NlCxaxtTz1zZ4/mYR2RBQR57gMbGRjo7O0lJSRn2MYfEkddFZCJtAtOLZ0Hz0Z5TeEeL6VdA9nRoPgRbH8BjXEXNl76E4nZjKCyk4De/xrpw4eD7ASSjkZxvfB3LvLnUfu3ruN56i7rvfIfC3/3uJPHyYaKxQkTHRjsiAjD3/IvZ9OwTNFUco+7wwaQ2TxsRkRDq699j/eS7AFg1sZ9yz7zZooPvOz+Bd38Bs65G1ZtpbhJG8eyciwc8TKnFhAy4IgpNwTC50QilxTIBozGbYLCZTtfeeEnvqUbMH6JLMSJbRv9SEi/hHaIQiaWeJ0zoO0qxv87JzqoODDqpR++Q3uj1ejIzM2lubqaxsZHU1NSTtvFFUzMWS//7GYgPOoQ5WnKGONKanBsbRzwicuoKkQ/vGXMEqEoEVQkDESBCJBQkEg6jRiMVIb8PZ1MjDeVHOLhuDe8++Hce+PJneewH3+jfBBpLz/TjEzHIBmZliWmPu5t6pmf8Hjdv3HcvYZv4YC88s+/GZYkiSRJTzhAD+Y5uOXky8ImoR2Raeko87xmrsR8T9kYHe825nil2MxLQEgrTEhzl9IYsw8qvA+B57n6qv/AFFLcby6JFlDz9VMIipDuO886j6G9/A4MB12uv03zvwGbYUxmfq5POZmEezi4ZeunhULGmpDJj5dnAKVbKu/NRjnoDNJqyMEsSi1MGSDuceYco3++sgc334XYfxOevQpZNZGYMXAlmkmVKLH37RFLj6ZnEJmuPB+Ex6KjaneE2NYsJkeLivsXBY1GT6kWz8sh2DNzgMTc3FxA3b30RS81YhpmaiTXPk9sC7KnpQBlmz5TuOOwzAZlAoIFA4NSs+jsthUjRzDl87i//4pxb78KU8lkyS/6Hz/35Qb7wt4f54n2PcNsf7+PjP/0NV37z+yy//pMUzZyNJMs0lB/h9b/+gYf/90sc3bKhZzg5LypE+qmcAZiXLeZ27GreFX9MVVXeuv/POF0uVIMRnU7Xr3IfCjEhcnzHFsLdBjV1hiO0hUSVzESzkcmTxZ3vmPlEvG1wNDr0bM712HS6+OC9w6NpWI0x6xp8/nyq3wDV78e2+iwmPPhP9Onpw96lfeUK8n/yEwBa//Z33O9/OHpA9KapQhj60nLzMdtGVjaYKLFS3qNbNgw6J2lMUCKw4V7WpQlRuiTNhlk3wGnSYIFzfiB+3nAvzY0iLZORsQq9fnDfxOS4YbUfn4jz1BUioYbYsLvR94dAt4jIEMp3g8FgvH9IX0LEHQjzwk5hPu3PpNqdQYWIX4ie4QgRVVXj5eImZ5BOf5jK1pGPptDrbdhsItV6qkZFTkshojcaScnKZs65MzHZM/A4zXQ067BnZGJLSyc9v5DCaTOYcsZyll13Ezf++Fd88e//ZuVNn8GSkkp7fS0v/u6XPPF/346b++KVM437exjXujM/ez4Au5p2xR/b/dZrHNm0HsWRBsDEiRMxGkc+/yV/8lRsaekEfT5qD3W19z0R9YdkGvTY9bp4l8Fjx46NTRnvgRdACUHuHMgR/pDYzJmxSM+EmlqoXmNFjcjYJugpuuceZNPI29ynXXM16Z/6FAB13/8B4dbWEe9zrImlZXLGIC0TI3tiKcUz56AqCrvffGXMjtsvh1+FtmOsz1wKJNjWfe4NIiribaGl9jkAsrLOTehwMcNqea/PfmqaECIdzh0n+WfCLT5c62tpf/YozrdOEDjekdCxkk2wXlw0DfljJUTE91T1h1GCiZ2ramtrUVWVlJSUPlMpz+2sxROMMCnbxpllGYPuLyZEmppOjiwoShC/vx4Ynkek3BugNhDCKEnMtojPxZ4a55D30xenuk/ktBQiMQxGHdOWCt/HgXX914YDWFPTWHrV9dx+zz8489qPozeZqDtykMe+93XWPPwPgpYC0Bkh5AFn3+Ww83JEROS48zjOgJMTe3ex5qH7AHBMFj0bYhGKkSLJcnxAXuXurkZrMX9IbNhdYWEhZrMZv9+f0ByFERNPy1wXf2h6tJ/CaBtW1WCQmq99nYjThyktQuGSauTak1NXwyXnW/+LacoUIq2tNPzs50nb71jROEZG1d4suOQKAPa88wahwDibMzf8mQgyG9KFEFiZSEMpnQGWfJaAUcIVEeeRrMxzEjpczLDaPTUD4LBPR5L0hMMd+P1in0ogTMeLx2j43TacLx/Hs6UB1ztVNN+/l+Z/7iXcMXa/O1VVCdVHIyJjJEQkkw7JKC5ZifpEBkrLqKrKY5uEp+OTSyciSX2bVLsTa2rW0tJCuFeK3u+vBRR0OitGY1ZC6+vO+9G0zNI0GwsL0wDYVd0x5P30heMUr5wZVSGydu1arrjiCgoKCpAkieeff340DzcsZqwQbvjKfa2EElDZJquVFTd8itv/eD/Tlp+FqirsePUF/vXtL3NUnYmqIsyQfZBhzmBiilDKH2x9jZd+fxdKJMLU5WfRHj0RTZqUvIvAxD6ESKxiJjbsTpbl+DFHPT3jrIETH4ifZ3eNRJ8+RhGRpj/8Ef+ePcgpKRTdeQE6gwob/5y0/csmEwW/vhtkGdfrr+Ne/0HS9j0WtFRVAiJKMZZMWryUlOxczPUNtN/yGbjpJvje92Csq7maD0P1JvY4puOUjDh0MnMdCfofFt1CS5YQLSmmMkymnIReNiUWEemVmpFlEzbbVEB0aY24gjT/bQ/uDXWggqksFcc5xVjnZ4NOInC0g+a/7yHUMgbpTcQUXNUfAZ00JhUzILwzQ/WJDCREdlR1cKjBhdkgc+3CooT2l5qaislkQlEUWlpaejwX6yFiMRcnJGp6s6ZVCJHV6Q7mFYvozZ6ajiHvpy9iEZHOzr2nXoUaoyxEPB4P8+bN4y9/+ctoHmZEZBXZsWeYiIQUag+1J/w6e0Yml3/121z7vZ+QmpuHu7WFF/c7eL5mJp3lOwiUl9N0zz1UffZz1Hz967T9+xEUn4952fMobrRw8O+PE/B6KJoxm6kXXUk4HMbhcMQVdzKYOGc+SBItVZW420SqoCo612Jit4mOsSjMqBtW9z4dXdgKSOs6McRSM4c9/lH7kni2bKHtX/8CoOCXv8B46TcBCcrfhqaDSTuOecYM0j/1SQAaf/azD01JbzgUor1eRMSyiodXejhcZFnH+ToLt772HllPPoX63//Cb34D06fDQw+N3UJ2PgrA2skfB2B5uh19P6WcJ2HNoGWiuJhluRLvhlkavSGoC4TwRXqmdFOiXTGdrbtp+vtuQg0eZLuBrNtmk/35uaReVELGx6eT9/VF6LMtRDoCtPxjDxHP6DeIi0dDsq1I+rELrMd6iSgJREQURaGmRjQp60uIxKIhl88tIDXBOTmSJPWbnhmJUTWgKGyIVsyck5nCvKI0APbXdRKK9J3qHwp2+wwkSU8o1BaPsJ1KjOon6JJLLuHnP/85V1999WgeZkRIkkTpHBFGq9jbMsjWJ1MyfxGf+e1fWHr1jciyxHF3Jg8+vJ6XvnArFf96EPf69bhee53GX/6SnZdeTOmL9Zy3PQdCESbOXcA13/1/VEbr3CdNmjQsJd0f1pRU8qL5/so9O4Gu1EzMIApd3Qbr6urw99F3JGnsf1b82y0tAzDJakIngTMcoSGY/JOo4vdT/yMxbybt+utxnH++6Iw543Kxwea/J/V42V/5CrrsLIInTtDxxJNJ3fdo0V5Xg6oomKw27BmZg78gmRw9Ssmf/4YMyKqKpCgQiQiv1e23w1gYqSMh2C16gayJ+kPOyUi8nD0S8dNmFPn8rCP7IZzYHXuGQUeqXkw4jkUrYzgcosqu7egWIq1+dOkmcu6Yh3lqT2O1PstC9hfmos+yEHEGaX/qyLAn1CZKXIgUjE1aJsZQ2ry3trbi8/nQ6/Xk5fVsvdDuCfLyXuHn+NSZQxPesZvF5uae5uqRCJGtTg8+RSHbqGemzUxJpg2HWU8grHC4wTXk/fVGpzNht4np5q5T0LB6SnlEAoEAnZ2dPf4bCybOFULkxJ6WYd2RG4wmVn7803z6c9eQHfQQQeJEVirrpxWzZslMNq5YwLuzy3gvx4HzRBMqKocmebn8f7+PwWyORyKS5Q/pTswnciIqRHqnZgDS0tLIyMgQTd6ioijpdFRHpxNLop9HN0yyTFl0PaPRYbXl738ndKIKfU4OOd/+VtcTS78o/t3zX/B1JO14Orud7C/dGT92xD1y5/to01It/u6ZxYnlypPKgw/2f0xJgn/+c/TXUP4OeJpwOiawNSQidOdkJN6iu719I4oaxBQEe1uHaHKWAJIkxf1avYWI3S6EiM9YjmTVkXX7HPSZfTfk0tmNZHxyBugl/Ifa8GyuT3jtwyE0xkbVGF3dVQePiMTSMoWFheh0uh7PPbOjhmBYYVZBCvOKTjaxDkRWlrhe9C9Ehh5RXNPWlZaRJAlZluJRkd1JSs84UmLpmVPPJ3JKCZG77rqL1NTU+H/91X0nm8KpaehNOjzOIC3V7mHtQ1UUAs9uYvHBBs6oqGViUQl6owl/MEC7uxO/TkICcp1uzjhWS0NqExXuSjo7O+MhvrKy5PduKJ4lDLI1B/YSiijUBHqaVWPEoiKx4VBJ53B0uNmEM8F+cgvlmGE12T6RYE0tbQ+KlEzuD3+ArvvkzYkrIHuGGGK2+/GkHjft2mswTpxIpK2NtrFMLwyTmBDJKh556fiQqayE/m4AVFU8P9pEo3XrZn2eCKKstrtYH4yWVjFOIUs/BQlgT+KRsJgIP+7reXHVlWeCIhMxurDfmIkha+DZI8Z8G2mXiO+x880To5qiGWujaoyueTODR0T684eoqhrvHZKoSbU7MSHS2yPSJUSGft16PypEuovfuVGBtKc6uZUzp2IJ7yklRL73ve/hdDrj/43VMDa9QUfRNBHurD7U90C0wWj797/pfHstkqSyYH4t1/3wf/nSPx/nk7/8A9d87yfc9LPf8D8P/IfVpTPJdgf4xnMR9pzYHI+GFBYWYrUm3/SVP3UaOr0ed3sbB2tqiKhgkiVye011HHUhcuhl8e+0S/t8urtPJJk0//53qMEg1qVLcVxwQc8nJQnO+Kz4eesD/ZZdDwfJYCD7a18FxGfjVI+KtNaIk+hY+0MAKCkRf4u+kCTx/GgSDsSF8pos0Uywv2hIOKKc1GRKVVVaWqJCZOKN4sGjb4tRBgkQa2pW0c2wGm7z0/liNUaPaDgYzKhKaF+2ZQUY8myovjCdb41OdFPxhwm3iu+pIX9s+s3E6ErNJB4R6S1ENhxrpaLFg92k52PzC4a8hpgQaWtri7c8UFVl2KmZ5mCIfW5hMj6r2+duXnEakLyISGzmjMu1N96881ThlBIiJpOJlJSUHv+NFYVT0wCoO9ox5Nf6Dxyg6Xe/ByBvtQ17QQCaDqE3GsmbNIXS+YsomDoDsyOFgrt+iS/LTl4HGB94Kj4VMpnVMt0xGE3kTRa5wR3RXPsEsxG514k/NgyqsbERjyfJF01fe1e1zPTL+txkNCpnfPv30/nqayBJ5H73O33f+cy9EYwOaC2HiveSdmwAx4UXYiwtRenspOOJ5EZckk1XRGQchMhtt/UZEVFBPH777aN7/GNrINCJ6shnTVBEHc7t5Q8JRxT++l45c3/yJlN++BoX/3Et++vEnarbfZBAoAFZtpBeehOkToCwT4x8SICyaFOzimhqRlVV2p8vRw0qWJXJ0WP0XYnXG0mWSLtSRFY9W+oJj0IVTbBWRI116SZ0tpGNqR8qcoKpGa/XG49YFBX1rIiJzZW5ekEhNtPQW9OnpKRgMBhQFIX2dlHgEAw2oygBJEmH2Vw4pP29F42GzLFbyO52gxhLzRxpdOFNQtdpm20KsmwiHHbFW9GfKpxSQmQ8KZiSBkB9uXNIbXXVSIS6H/wQQiHs559H2nnRDqvNfVdi6NLS8H1bnFgnv3eciqg46G8qZDIoniVCcgfqRTfAvkLOdrs9bsKqTHYo/OhboITFnJfMvgXXdHtXRERJUuVMy1/+CkDK5ZdjnjGj741MDpj/CfHzlgeSctwYkk4nBuMBrQ89jDKaRuAREPL7cTaK7pOZ4yFEpkwRPhBZRtXpUCQJRZK6/CFR75SiqBzcUM9L9+7i/q+9z9++tIaHvvsBb//rAPXHRhC+PvA8AIdmfpq6QAizLHFmt/4hEUXl9oe38evXD+MNRogoKocaXNx43yY2HW+lpeUdADIyVqDTm2F6NOp36NWEDh+rnIkJEd+eFgJH2kEnkT5N9DNxe44k/HZMZWmYp6WDAp1rkh9VDtWIC6exaOhj7kdKPCLiCg5oyI1Vy2RmZmKzdaWPmjr9vLlfnAc/sXR4aUhZlsnMFIbumNjxRqMhJlMBsjw0cRZLy5zdKwqXl2omN8WEoorqmZEiywbsdjHPqfMUa2w2qkLE7Xaza9cudu3aBYiw/65du6iqSizMOJZkFdkxmHUEfWFaaxL3ibQ/+SSBgweRU1LI/+lPkXKig7ua+r+DmXr+tWyeKuGz2nH7fOh0upNUezIpmiHKAI+5xPvq7Q+JMWrpmUPRjpn9REMASswmTLKET1Go9o+85NW3fz/ud98FWSbrjjsG3nhJND1z5DXoSO5nM/XyyzAUFBBpaaHz5ZeTuu9kEUvLWFPTsKYMzbiXNG65BQ4fRvrWt3CetZKt08p4+uYbUG++GYCWGjf//eVW3v33Qar2txHyR1AiKp6OAIc3N/Dsb7bzyl/34B3iQDQi4a60TMH5ACxLs2Pp1tb9L2vKef9IMxaDjt9eP4913z6HM8sycAfCfPnxnTQ2CyGSnXWeeEHsc374VbH/Qehewut2Beh4SaRrU84pJjVXfHfd7sNDelsp5wtB6d3ZSLg1uVGRYPT8aCwa27QMCFMuEqCoKAN4YPpLy/x3WzVhRWXRxHRm5A8/4t7bJxKLMFiHmJZRVDUeEektRADmxgyrSWpslpIiPk+nmk9kVIXItm3bWLBgAQsWLADgG9/4BgsWLOD//u//RvOww0LWyeRPSgMST8+E29tp/uM9AGR/9SvoMzIgR3RI7S8iApBtzebVy7JpyBWmzfzU1KS0de+PgqnTkXV6mg0i7DzR3LcJb1SESDggenUATOtfiOhlKT53Ixk+kda/i461KZdfhqlskAZd2VOhdDWoCmx/aMTH7o5kMMRbv7c9/O9TspnQuBpVuzN5Mtx1F7bXXmfL0gVU+dxU7d9D1YFWnv3tdlpr3JisepZeWcaNP1zCzb9czpVfm8+MFflIskTlnhae/MUWGo4PITpSuw38HWBJZ40iWnx3T8vsru7gj2+LaMTPr5rNdYuKKM6w8tCtZ1CSaSUQaMbjFif1zFg31QnLwZwGvjao2TLoEjIMOlKivTj2v1OJ4g6hz7bgOLsYm100NfP5KolEEh/2Zix2YJoqoiKudcntmByMRkQMhWMfEZF0ErI9lp7p//fRlxCJKCqPbxGPf+rMkX3Ws7PFubtLiAzPH7Kr00tLKIxdJ7M41UYoGKBq3242PPUfnv/Nz5jxwd/43Il/0v73b/GPO2/nuV//lH1r3iI0zOhqiiPaYfUUq5wZVSFy9tlno6rqSf89NM5VBIFKJ80P7qP92Z6dGwumiLvBRIVI6wMPoHR2Ypo2jfSPiyZIZEdTAM1HBjQ/5k+Zz76pIhWSeWJ0I0QGk5nc0kl0pIgT7cR+IiITJwoHeWtra/JKpyvWQtANjnwoWDDgpsmqnAlWVeF6+22QZFKu+AyebY24N9XhP9aBEuine+6SqA9h52MJ3cUOhbTrrkWyWgkcPYp306ak7jsZtEQjIuOSlukDo8XKjFViVsvm51/klb/uIeSPUDg1jU/+9EwWX1pCVpEDR4aZ4ukZnPvpGdz4wyWk59vwOoO8cM8uao8k2JwwWmbrmXQRm53CXHpuZtcF9rdvHkZR4Yp5BVy7qCtqaTbo+OFlM5mbLeY4mayzMZmi1WA6PUyJGqNjInwAJEmKR0WOHBdm+fSrpyDpZUzGXPT6VFQ1gtc7tIaDjrPEer07GlF8yflMR9xBIu1CAIxHRAS6Db/rJ/oViUT6bGT23uEmajt8pFkNXDI7f0RrODkiMjwh8nKDaDQ5z9vO8z/9Pn+59Uae+tkP2Pj0fzi2bTNqRyNmJYgcDtDZ3Mjx7Vt44+/38I8v386RzUPv3Bwr4XW59qOqYzBbLEFOS4+IGlYIHGknUNHzzqlgiqicqT/WMeida6ipifbH/gNA9te/hhSrU08vAZ1JmNU6+jcEzc6aTWeaOHGlbduG/2Dyunv2Rd7U6d2ESN8REYvFQn6++IImLSoSS8tMuwTkgT9uyTKstv77cYzTLsd+xR9xvtJG+9NH6Hj+GC3/2Ev9XZtxvlGJEuh1Yp56CVizwN2QcA+IRNGlpJAWberX9uhjSd13MmgdT6NqP8w7/2IAqvdtIxJ0Uzoviyu+Mh+LvW8RnVlg5/rvLqZoejrhQISX/7ybphMJiOnoJOj1Ey4nqKpMMBvj5bRbK9tYd7QFvSzx7YumnfTS82bkcG6JiJYc75zf88lJ0aF3x95N4N1CiUm8r1qLhHVxLqYycVMkSRJ2uzj2UNMzpkmp6HOtqEEFz7aGIb22P0JRo6o+y4JsHrrRMxnE27z3U8Lb0NBAOBzGbDbHBQPA41uEWLh+URFmg67P1yZK914iqqom1EMkHArRXFXJwXVreOfBv/HId77KE/vF3zR97evUHNxHJBzGnp7B9BWrOeeWz3PJ//4/Hi28kUeKbuLS7/yMlR+/mdScXHydTl76/V2sefgfQ4qy2qxl6HQ2FMWHxzNGE9cTYHw+SeOMPl1c8MLtAVRVjVdTZBfbkWUJnyuEuz2AI8Pc7z5a77sf1e/HMn8+9tWru57Q6SFrCjTuEzNnMvpOC5QZy6hVa0FVyGppoe3hf1Pwq7uS9yZ7YZ8ynWBAvJ8J5v7TQKWlpdTV1VFRUcG8efNGdlBV7bqoD5CWidFVwjv8nLZ3Tx2hllmYposTuWzVYyhyIOkkQnVuIs4grjXV+Pa1kPnJGRjyokY2vVGYVjf8CXY83GU4TBLpN32c9scew/3ee4Sbm9Fnn9xLZbyINzMrOnWESGbRRIy2YoKeaszWo1xw+6XoBmklbjDpuOxLc3n1r3uoPtjOK3/Zw3XfXdz/99jVAA0iRP2qZRp4vJyfmRI/H/zpHRExvX5xMcUZJ5fWK0qQCTYREXlm/0Q+cZ6CPuYtiQmRul3gaQXbwN1qc5sDIEFdqp60S3ueM2y2qXR0bMEzBMMqREXMigI6ni3HvaEO+4pCpERb1vdDsDpmVB2faAh0i4j0UznTPS0jR29+ml0B1hwWDchuXDLyFGRGhripCwQCeL3euBDxtsKx6s24Wltxt7XgbmvF1dqCq7WZjoaGHmWzrWlZtKVno1MiXJifzfRz76R41hzS8gp6VPilve+mosVDo62Qs69ewKLLr2bTM4+z+bn/suPVF5AkWP3pzybUD0WSdDgcs+jo2EKna29c5I43p2VERJdmEoansILi7jI86Y06MqNfsMaK/u+mwq2tdDwt5qZkf/UrJ38AsqM+kQFmmFhcIg3hkdvRRyJ0vvYa4fbEZ90MlWCRKOmzezrRh/o39HX3iYzYz9B8CDprQW+GkhWDbh4TIkc9AcLDaFHtWltD23/Kkc2pqIF2Mj4xnfwfnEn2bbPJ+sws8r5zBpmfmoEu1Ui42UfT33bHSxEBWCiMkRx9EzqTO4/BNHkylgULIBKh47nnk7rvkeB3u+NziMbdI9KNHW9Uoaqis2gksBddgrdMeoOOiz8/h4wCG97OIK/ft5dIuJ8UaTRtEipYxBsd4u76smwhYI83u1l3tAVZgv85u+9Kr/aOjUj46Qiks7sxJ36hA8CRBzmzAHXQMt5Qi4+sQx0ANBXbkHvNPYlHRDxDi4gAWOfnIFv1RNoD+A+2Dvn1vQlUivOiceLYtVboTVdEZHAhEuPF3XVEFJX5xWlMzhm+iIqEwzRVHufg2ncwRkXOIz/5GqGQOHc/94s/8vyvf8Y7//wrm5/7L/vff4eqfbtpr69DVcUIhYKpM1h46cfQfUqY6M/KSuOGL3+DuedfTHp+4UnXk3hjsxoRwdcbDKz8+M1c8HnRvXn7Ky9wcF1ipeLQcwDeqcJpGRGRdDK6VBORjgDhNj86R1eEIGeig+YqF00nOpm8qO8BdG2PPIIaCGCeOxfrmWeevEHcsNp/5UxTreimWp3STHjyBPTlVTife57M224d/hsbgBaTuKNLc7bRcOwIxbPm9rndhAkTkGUZp9NJe3t7XPkPi1h+fOIKMAzcFRKg2GzEqpPxRhQqfAGm2PqPSHVHVVU636jE9V4NIBGsXEfqJROxzu0ZdZBkCcvsLIwlKbQ+cpDgiU5aHtxHzh3z0GdZRCRr4grR82TnY7D6W30fcJikXXcdvp076Xj6aTI/l9gdzGjTUiOiIY7MbEzWse2S2R8dTV62vlKBbJyCQVmHu62Zyt07KFuwJKHXGy16LvvSXP77i600nXCx8bljrLx+yskbRtMyH0y+kY5whEyDPl62++RWcTE7e1pOn9EQIN7ELKA7E5B4cms1F8zM7dpg8rnQtF/0Kek1Xyno97HtpWc5vn0r81hFQaZIidb1Eay0R6fwut1Di4gAyEYdtjPycL1Xg/uDOiyzhj6ePoYaUQlWCSFiKh2n6iq6t3nvOzXTlxB5ZrvwjFy7cGg9PkB0za7cs5MDa9/l+I6tBH3CSxSZMA1sDgKqEHhhnw6zNRNHZhb2jCwcmZnY07v+P6OwCFtaevx7/7MthyDs57LstAGPP68ojRd21Z1UOTP3vIvxdLSz4b+P8c6Df6Ng6gzS8gb3vsR9IqeQYfW0jIiAaMYDEGnv6UfIKRFKv6my74hIxO2h/T+iOVW/F5OYYXWAiEisV0eLuYXK88UdT/uTT4xaVUVs2F2qq426I/0LJKPRGC8lHrFPpFyUNTL5/IQ2lyWJadGx6AeH4BNxvVMVFSHg3/c0wUNPkXb1Ff1ur7Mbybp1FoYCG4onROt/DqLG7ppjUZGd/05qp1WAlEsuRrbZCFVV4d2yNan7Hi6t1bGOqqdONGTjs8dQIioTZ+Uy51zx2dn91mtD2kdKpoXzPiO+h7vfqaamd8fkSFgIBOCV1MUAXJqdik6SCIQjPBW9cN10Rt+/l+7dVGeUXALAuqPN+ILdDICx9Mzx93o0bGutqeZfX/sCG59+HGuzhXRyyPGI72eVL3DSOcBmE31UAoF6wuGhNxu0nVkAMgSOOwnWD79ZYajOjRpUkCx69DnJ7wKdKPHUjOvkiIjT6aSzsxNJkigoEF1TD9Z3cqC+E4NO4op5iXdSVVWVwxvX8a9v3MGzd/2YQx+8T9DnxWixMmH2XHKjfrpJK0VJbHr2TO64/1E+ddcfuepbP+S82+5g6dU3MPOsc5kwey729Iz49eKg28cBjx+DJHF59sCibl6xeH53jfOkz8bSq2+gcPosgj4fb//zrwm9r1jljMt9CEU5NaaDn7ZCpMsn0vOClxsTIidcfTY2c77wPEpnJ8bSUhznndf3zmOpmZajfV7MnE4nHR0dIEGruZX3pyviAnWiCt/27cN/UwNQ6Rd3D2md7dQdHbhLY1LKeINeOLFB/Dy5n99TH8yyi8jJPldi7bE9WxrofFtcTCXpAKHyN0m55BJ0g3Tllc16sm6ZhWzVE6rz4Hy9Ujwx40owpYp+IknutCpbraRcLib+djz1VFL3PVy6D7s7Fag93M7xXc1IssSK66Yw7wJxka/YsQ1X29CmY5fOy2b2WeIOeM2jhwh1Fwk1WyDgJGjN4RWfuLDF0jLvHGyizRMkN8XEOdP69vK43YcIBOqRZTNzys6lMM1CIKyw8Xi3NRYvBdkAnTVx43pnSxNP//JHuNvbyMktZXG+eH8+715QFfwqVDb2HC9vMKRhMIjIpNc39O+kPs0Uj4R4Ngw/5Rgz95tKUkbsNRkJsQh2X6mZWDQkLy8Pk0ncbD67Q4jK86bnkmZNrE2Cs6mRp372A17+492019distpYcMkV3PSz33Dng09w/Y9+yYwlYkozevF7sVgTnzHzXKNI5ZyX6SDNMHBiYlZBKnpZosUdoKa9p39OlnVcfMfXkHV6TuzZyYk9uwY9tsUyIVqJFRyyAXq0OG2FiC4qRCJtPcN76fk29CYdoUCE9oaedw+qqsYrZdI/9Umk/qpA0ieCrBeVM66Tv/ixaEhqViphOcxu92EcF18EQMfzz4/gXfVPLCKS1tlG/ZFDA0ZekuITOfEBRAKQWgxZUxN+2VyHECJ7XIMbVgMnOml/QTi/7Wfl437jfkCUyyaCLsVE+nXRsPcHtcKIZ7TC3BvEBjsfTXjdiZJ2nQjRu958k0hHR9L3P1TGdcYMovqs/kf/x+HFSzhyzrmsu1dEGWatLCCjwEZGQRGF02eiqgoH17035P0vu3oS9nQTnS1+trzU7SIeTcu8O+0ztIUi5Bj1rEwTZbsv7xHf2asWFHaZT3vR1U11JXq9hXOnizTuOwe7iQijDQrF9Gsq16MoEV76w69wt7aQUVDEhfM/ixyWMBTZWf1/t5HqF+L78YcfRO11A2O1Co+X13N8yL8DAPtyEQnw7mpC8Q5vGF7MH2IqGb+0DHR5RFRfGDXUswS1d1omHFF4bqf4e3Yvvx6Iil3b+fe3v0z1/j3oTSaWXfcJPv/Xf3HuLV+gYOqM+Hk/lrYOBsWkY4s5MSGiqCrPNgkhck3u4Klvs0HHrAJxY7X9xMk+wrS8fOZdKATt2sf+ddJnpzeSJJ1yA/BOWyGiz+g7IiLLEjkTxAmpqdLV4znvpk0Ejx9HttlI/dhV/e9cZxBlvCBmmPTixAlxdzR10lQkJBo8DXCJaIbkeu11FF/y50OciLaPzvA48bk66Wjsf0x4UVERer0ej8cTnww8ZGL+kEnn9j/QrA/mOkTId4/bO6AIiriDtD56ECIqljlZEDmM4vViKCrCsnBhwsezzMzEuiAHVGh/8ZhoGz3/JvHkoVfAn6R+KlHMs2dhmj4dNRjE+eJLSd33cGirE3eLGQWj19m3P4KVlVR87Co6nnoKxe2mxWujOeIgZGghPa8Fp1Pcac48S0TUDqx9d8jC2GjRs/omkfrc/XZVV0lvuRAi/80UFW/X5KajlyU8gTDvHhKf+Svm9h/Gb2kVaZ2saBOzmBB591BTzzWWrBT/Vq5n1xuv0lB+BKPFypXXfYvQkU6QJdKvnYrZbmNyprgoHe90cXD9ez2OZ4sJEe/wopTGkhQM+TbUkIJnW+OQX68qKsFK8fcwlo6fURVAMuuQDOLS1Tsq0luIrCtvocUdIMNmZPXUwSvV9rzzOs/96icEfV4Kps7gM7/+M8uv/wRGy8mpqJgQUVVhUjZbEvsOrWt3U+MP4dDJXJCZ2O9ySYk41tbKvoeynnnNxzFaLDRVHqNi9+BR9S6fiCZExpX+UjMA2cVCiLTU9BQibY+JHhCpV12Fzj6IsS8zao7rQ4jEviyTSiZRlipOMOUT9BgKC1E8Hlxvv5P4G0mAgKJQFxB3QZPTxd1M/QA+Eb1ez4QJIjc+7LkzQ/SHxJhhN2OQJNpCEWoCfd+5qapK+1NHUFxB9LlW0q+bSudLLwCQeuUVQzaBpl5SimTSEap24d3RCAULRRQn7IcDLwxpX4MhSRJp14qIjfOF5O57qAS8Xjzt0QZaBUM38Y2ESGcn1Xf8D5H2dkxTppB139/ZesmltOZspCPzAM+ufYs//OEPPP7442RNm4neYKS1porG40PvfVAyN4spi3NQVXj334eIdDZDw15a9am8FRbf9RvzxIn+3UNN+EMKJZnW+F1obwLBFjo7dwOQlSV8IMsmZWI2yNQ7/Rys73beiAoR95FNrH/i3wCcdd2tBNaIi5fjnGKM+eJcUuoQ/zodaax7/GFCga5zk9UWHWQ3xKZmMSRJwr5MCCv3pvoB57T0RajWjeINI5l0GAvHr3QXxHuJD7/r5hMJBoPU14sbrJgQeXaH6Cp75bwCjIOUf+99903euv/PqKrCrLPP54Yf/3JA82d6uug7ZTBEUzPmxITIQ7UifXdDXkaPUQIDsXgQIWJNSWXOuSKqvvO1wW9wUlK0iMgpgS4jalbtCJz0pcwqFl+0luqu0s5QbS3ud8VdUPonPzH4AWLD3Vp7njh8Ph/NzeIkVFRUxKwsUaK4r+0AKVcKg2Xnq4kNy0qUan8QFbDqZKaWiLTLQIZV6ErPxKYDD4n2E9B6FCQdlK0efPtumGQ53thsTz8+Ec+mevyH20EvkXnTdBRXO571ostg6pVXDnm5uhQjKecK4dX5dhVqRIV50U65e54c8v4GI+WyS0Gnw79/P4Hjfd/hqqpKc3MzHR2DN9cbLu314iRtTU3DbBvbi0vjr+4mWFGBPi8Pfv4zHty0mXYaQVKx+vw4op19Dx8+zMOPPErWfFExs//94Yn0lTdMxWwz0FrrZv/Lou36U5NvJqTCXLuFGVFvUiwtc9nc/H4FbWvLGkDF4ZiDySQiIWaDjjPLRK+Qjce7lckWLwVZz9YKiZDfR96kqRQ0FYk27rlWUs7pCudPiHY89uUU4G5rZc/bb8Sfs44wIgJgmZ+NZNETafPj723eHQRfdHvz1HSkBC+eo0lfPpG6ujpUVcXhcJCamoo/FOGdgyL6c9WCgYX2se2befP+ewFYeOnHuOiLX0WnH3h4ndlsxmazYjaLFL7FMnhqps4f5I0WIVxuLky8gmlJiRA9RxrddHj7NpjOv+hykCQqd++gtXbgYYex1IzHc4RIJPkR+KEy/p+ocUKXYgJZgoh6UngvLkRq3PGLQPsTT4KiYFu+DFNZ2eAHyBROd1p6tpGPtR7OyMjAbrczM1MMyTvQeoCUi0Wez7N+PRFXz2jMSIj5Q0rMRgqnCiNt3ZGBO7nGhEhlZSXKUKtHjkUvFsVngHno+eSBfCLhNj/O18TJOPXiUgx5NhFBUhTMs2djHOYUY9uyfGSHgUhHAM/2RphzAyBB5bqkD8LTZ2RgW7EcgM5XXjnp+dbWVh555BH+8pe/8Mc//pF77rmH2trkzgsBaB+ntIz/0CGczz0HgPKDH/D4yy/j83nRhazMyT6HL6w+i0tffY1LXn+DotxcAoEA5Z4gYaudQxvWEgkP3eNgTTGy9GPie7tlow63kso/s0X31tgFwR+K8P4RcZMwUAvwmD8kFg2JcUZp9K61ottF3mjDk7mQPR15AKyceyOBIx2gl8m8aTpSt7v0WKPByEQRTd391ivxfH9XauZ4j6ZYQ0E26rAtEetwbxyaaTUmXMzTRlDOn0TiJbzdzt3d0zKSJPH+kWa8wQiFaRbmFfV/HmqpPsErf/otqCpzzruIs29OvLQ+K8uMTie6NJvNg1fkPFzXigIsS7PF+yYlQqbdRFm2iJj15RMBSMvNY9KiMwDY/ebAN7MmUz5GYxaqGsHl2p/wOkaL01aISLIkGptxcglvep4NWS8R9IVxtfpRAoF4lUP6Jz+Z2AFiQqRXaqZ3DnNWpoiIHGg9gGnqFIxlZaihEO41iTeoGYyYP2SixUR+VIi0VJ2I18P3RX5+PiaTiUAgEA93JkwsLTMp8WqZ7sR9Ir0iIqqq0v7cUdSggrEkJW7Ac70l8v2OCy8c1vFAnKQdZ4u/ievdKlR7IZSuEk+OQlQk9Ypo9Ovll3tEPDweD//61784fvw4siwjyzIdHR089NBDw4tODUDMHzLWaZmm34iTvnLZpTyzdQuhUAhjMJ301gUsv3g+qZdeim3FClI6Ori4sZEZM2agqir+4il4/X6O79w2rOPOXFlAZqGdQMjIXx3/S7VsJ8Og49pccbe5uaINf0ghL8Xcb1omEvHS2rYO6EOIdAufd/+bbmsvIqzqmJZTim6PuHCmXzmpq6tvlAnRYZRtFjtGi5X2+jpO7NkJgNlchCQZUBQ/gcDw27Xbz8wHCQJHOwg1JVaZFukMxlu7m6elD+u4+1v38+utv+baF69l1ROrWPH4Cm546Qbu3nI3e5uHnh6IR0RcfQsRgNf2ivPWxbPz+hUWoYCfl35/FyG/j+KZczjvtjuGlNrNyIiJwjRkue/RGTE6QmEerBFC93NFQ++sHPt8banoP5o17wLREfrQB+8TCfc/X0iSJFJS5gPg7Nw15LUkm9NWiEA3w2pbTyGi08tkRPO2LdVuXG++RaSjA31BPvazz05s5zEh0nECwv1/WaZlTEOWZJp9zbT4WkiJVs90vv4GySIWEZloMeLIyMKRmY2qKgPm23U6HSXR6MKQyniVCFSIE3W8j8IQiQmR3a6ehlXf3hYCRztAL5F+7RQkWSLidOLZvBkAxwVD86P0xn5GNCriDOLd2wJzo+mZ3U/06AORDBznnotkNhM8cQL/PnFHoqoqL7zwAm63m6ysLO68806+/e1vU1ZWRigU4plnnsHrTezikQhtdSLKkpE/dkLEt3cfng8+IGw2896ECQSDQTIcuaS0zSRnQhp5ZUIAZH3xCwC4n3mWK1auoqCgAFXW4S8oZf97gw+S6wtZllh5WToq8N+SZQDcXJAVz9OviZpUz5me3X9apnUtiuLHbC7GYZ/V47k5RakY9TKtniDHmkW4PuT3s/eIE5NsYZ79QlDAMi8b65Lck/ZdHE3N1AXDzDxbfJZ3vvFydO2G+EA1j3f4glSfYcY8XVzQ3OsTi7L5D4sLn6HI3qP5YyLUuev48rtf5uMvf5xHDjzCkfYjdAQ66Ax2crDtII8efJRPvPoJvvDWFzjclngpaSwiokQjIqqq9ji3BsKReAXTpXPy+t3P2sf+RVtdDbb0DC7/+nfR6YfW49ORIo4fDqcNuu39Nc24IgozbGYuzhp6pDgWceuR+uvFxDnzsaSk4nN1UrV314D7S00RQ0g7nQNvNxac1kKkv4gIQFbUsNpc7aLjmWcASLvm2q7hdoPhyAOjXYyWb68EQFGUeIg91jTMorfEDasHWg/guEiEiz3r1xNxu0/e7zA44e+KiADkTxYlq/XlA3dqHFY/kYY9EHCCKQXyhzerZobNjF6CtlCE2qhhVQ0pOF8V63CsLsaQLcSKa80aCIcxTZmCqbTvuT6JIhnkLkPf2hrUGVeA3iKiWrXJ7e8i22w4zhVCrfNlYS7bv38/R44cQafTcd1115GRkYHZbOYTn/gE2dnZeDweXn/99aStoT0eERmd1Ewk4sflOkh7+5Z446T2/4jy9wOXXUpzezt2u50U5wwkdMxe3dXe2rJ4MZaFC0V08IknuOGGGzDo9USsDg4fr8DnGl41U5FuB66Jx6jJMmBQVG4p6JoBE0vLrJ7ad0dlgKYm0VgtJ+eik8SKSa9jQXEa0GUqPLRhLaFghNV5VyGpaegzTKRfM7lPoVNgMqCXIKSq5J0jbkgqdm3H2yk8BVar+Hx7PcMzrMaITeX1bG/stztpdzw7hM/CMnPgeTm9eefEO1z34nW8V/0esiRzSckl/G7173j2ymd59spn+d3q33Fp6aXoZT0b6jbw8Vc+zoP7HkRJIPUkx9q8RyMira2t+Hw+9Ho9eXl5fFDegisQJjfFxILivqM4Vfv2sOsNkRq9+I6vYU0ZujiwWsSNQcA/sMeqORjiH9Xi8/WNkjzkYXRVXjFZpBD31jr79YnIOh3TlolIbu/Kq96kpgoh4uzcOeS1JJvTWoh0lfCe/GXMjvpEmo42i9HtkkTa1VclvnNJ6mZYFZGHpqYmgsEgRqORnJyuk113n4hp6hSMpaWowWDS0jOV3TwiAHlTRDlj/dGB70BiQuTEiROEBwjz9aBirfh34nISHhDSC7NOZrot5hMRX3TX+loiHQF0qUYcq7sunK63xN3xSNIy3bEtzUcyyITqPQRqFJgR7dA6GqbVaHMz56uvooTDfPCBMNyuXLmSvLyuuzi9Xs/HPvYxJEliz5498fLvkaAqCu0NInSdMQqpmYbGl1j/wQq2bL2cHTtv4oMNZ3HiyN9xvvIyzdlZHDQII+DqpRfiaVIwmHQ9RipIkkTGLZ8BRHVRqsPBudEGgr6sAvZvWDesdYUr1vHSHOH/OOOQH+8hcZGvaPFQ0eLBoJNYMbnvC24kEoiX7eZkX9LnNr19IrvffJUzsy8n3TQBCTeZFwSQTX1/L3SSRGF0Cm9naia5ZZNRFYWj0XHvNqs4n4zEsAqiPbuxJAUiKq51A0dFQs1eghWdIIF10clRnP548tCTfP29r+MKuZibNZfnrnyOX6/+NReWXMiU9ClMSZ/ChSUXcvdZd/PSVS9xTvE5hJUwf9j+B76z9jv4wwN3Vu4yq4pzdywaUlBQgF6v59W9In118aw85D6ar4VDoXgn0nkXXErJvMRL/rujj1bMuNwDp2V+XF6HK6Iwx26JN84bKrkpZibn2FFV2DRAVGTGyrMBKN+6iZC//99jSsocJElHINCA35/c2VpDRRMinJyaAcgqipbwVghjkG3ZMgyFQzxh9/KJxL4sRUVF8amQ0FOISJIUb26WjPSMqqrdUjM9IyIN5QMLkZycHKxWK+FwOG6yHZRYWqZk1fAWHKW7YTXSKSbmgjCoykYd9U4ff39tL+3vC+HzneZMPvvwVu595yjlTcOPJOlshvgJ17O5HuZcL57Y/7xIOyUR+8oV6FJTiTS3cOSNN6ivr0ev13PGGWectG1RURELo/1R1q5dO+Jju1pbCAcDyDo9qTn9h66HQ/mx37J//9cIhzvQ61MxGDIIBpspr/kNHZf42R416i5cuJDO4+KiPHlxDsZeY+XtZ5+NLjWVcFMTng0bWbp0KQ6zCXR6NkXTcUPlHx4rx21FOCIKyw/52fBsOZGwwnuHRRh/SUkGDnPf1RJtbeuIRDyYTHmkpPQ9qylWZrm9qp2GY0eZ6JpKsW06SBEyDb/E4B64tX+scqbKF4zf2R6Oiq5Y5cxwS3i7E6sS82yuJ9zRf1TEG+05Yp6ajj514IttjMcPPc7PN/8cFZUbp93IQ5c8RFla/wb/IkcR95xzD/+37P/Qy3per3ydL779Rbyh/tOQXWZVETGtqhKG8uLiYkIRhbcOiHVfMqdv0/G2l56lva4GW1o6qz7xmYTeV9+IUtxOp5FgsO8oxbutnTzb2I4M/GZa8bCiITFWRqMi68v77zKcP2UaKdm5hAJ+TgyQntHprNhtwjPo7BjfqMhpLUTi3VX7SM1kFAiPiDdsJKwzk3rtNUM/QD9CpPswJugpRABSLo6mZ9atG3F6pjkYxqcoyEBR9ASbWzYZSZZxt7fhau3/Ay1J0tDSM5EQVG0UP5cOT4goSgCncwdlkvhd7XZ5cb5ZiRqMYCx2oExP50fP72Pl3WtY/5+XMIRD1NqyeDfg4O2DTfzurSOc//v3ufG+jQOaugbCtlScvHwHWonkrABLOniaoHL9sPbXH5LRiCP6t94YvbDOnz8fm63vHjUrVqxAkiSOHTtGXd3I7mBiRtW03DzkRNONCVBf/xwnTvwNgNKSL7Nq5WZWrviASWVigKD3ogi2skpsNhurzzqH8u1CAMxYfnLFgWw0dkWNnnsOWZY555yzAWgJQ1P90H4H+2rLuStPdLb9fmk26WY9ziYf+9bWxifnnjNtgLRMczQtk30xktT3qTNWnVHT6qXl8UOUOuagopK5uAqzbg/UDGy0jVXOVPkDTD1T9CCpPrgPd3sbVls0NTMCj0gM05Q0jCUpIuX5Wt/fbSUYERVkEK+2GYy3T7zNXZvvAuCzcz7LD5b+AIM8cBksiHPN9VOv5/4L7sdusLO9cTt3vH0HvnDfpaUxIaL6wyjBSI9z68ZjrTh9IbLsxngjsO54OtrZ8rwoPlj96dtHNOwxFBJRRb/fTnsf09MrvAH+54CIYN5amMX8lJHN6ImlZzaU9x8RkSQpXj1zfMeWAfdn8Yq/a/UTvxi0I+tocloLkVhTs4gzgBrp+Ucw2wxYogNjvTmTcZw/DCNkXIiIO5j+hMi0dGFYbfI10eJrwTR1KsaSkmh65r2hH7cbJ/xCpReYDfGx1QaTmawJJQDUDxIVKYuWKickROp2QdAN5jTInTPktba1bWDT5ovZtv16DLU/A2BnexOdu8WJ17uqgEvvXc8jm04QUVSudIq1p190AQ/ddgY/vmIm507PQSdLbK5o44b7NvL1J3f1m0/tD2O+DUORHSIq3j3tXemZfc8M+T0NRsqllxIwGokVCC9durTfbTMyMpgzR/xe168fmSiKG1ULk+cP8XpPcOjwDwAomXgHZWVfQ5YNyLKR/PD5WF8QF4+S0p2sXj2dhsMewkGF1BxL3KQK0BAI8XRDGz8pr+W7517BN7/6fT43bRGf2XmUZ9OLKc8potNi542XXkx4bfWBIJ8tbyUoG7nYs59byoo44wrx2d76cgU7oyf2c6b3Xc2gKMF42W52zsX9HifNamRGmpW7VQtp7jQUVSGyzIhliUiHUrNlQONzcVyIBEnNySV/8jRQVcq3bIyX8AYCDcMaftcdSZJIu3ISSODb3Yz/WMdJ27jer0Fxh9ClmeIG14E40n6E7637HioqN0y9ga8s+MqQmwsuyVvC/Rfcj8PgYEfTDr679rtE+ohESqau7qqeZictLeKGqri4mNf2CXFw4aw8dH2kZTY+/R9CAT95k6cyfcXQ+hx1R1UVfD7xPfL77bS19bzxqfIF+NSe43SEI8x3WPnhpMQH7vXH0rIMdLLE8RYP1W39R4zKFoq+O8d3butXYKiqivqWuDYFS9X+R5aMAae1EJHtBtBLoELEefLFyh4Qd2vK0guQTYmFJXsQ94gcxe12xxVzYa8Uj9VgpTRF3O30Ts/ESlOHS2WsdNfcc/1xw2qCPpGampp+Q49dB4umDEpWwhA/1E1Nb7Bz1834fFXo9WlMt+qR1QgdqoVdi+8nOE3m+pf2UNXmpTDNwmM3z2dezT4AZn78Ks6elsOtK0p58JYlrP/OOdx0xgRkCZ7bWcul96xjb41zSOuJ3QF6tjagzorOrjn4ooj6JBHr4kXUT5uKKsvkOBxkZw9c1rd8uUhrHDp0CPcIomVto2BUPVr+SxQlQHr6csrKvtHjuc5XX6WycS7t7fnodBEk+d8c3Sby+FOW5LLf7ePHR2tZtfkg8zfs586DVfytupnXgyo7ps9hx9SZvNHh4YHaFt6esZj/nHkhPyuazTf2V/B+m4vQAJ1Cj3j8XLOznErFRJG/nt9Za5EkiZkr8skosBHwhlnkkSlKtzApu2/TYVv7BsJhF0ZjNmmp/fsJgvUefu01cKZkIKyE2Op6g+LLFgvjtmwAT3N8AF5fTIimT6uj6dRJi4Uwrdi1DYMhfUTD73pjLLBjO0N8ztseP9QjRRNu8+N6X3xGUi8r7dHvpC/cQTfffO+b+CN+lhcs5/tLvz9kERJjTvYc/nr+XzHKRt6tfpffbvvtSdtIkhSPilQdFzI+IyMDq9XK29FqmYtnnRzFaaurZc87IuW9+pO3DXuNAIFgE6oaRFVlAgFrXIioqsqrzR1csv0ox3wBCkwGHp5TmnAX1YFIMRtYNFGYb2PN2vqiaOYcDGYLnvY2mir7jqC533sP+e1aLM8Z+W/Np4gMsdtuMjmthYgkS12t3nv5RMLt7ViqRVlloKTvfPCgZESFiLuR6uOiQiUnJwdLLNTSjVh6Zn+rOKbj/AvES9evRxnAcDQY8WZmlp5ld/mTxR1awyCVM+np6aSmpqIoSjwP2y8xf0jpWUNaY6drH/sPfBNQycu9ihXL32P1mS8z2ShOEoccJjZl/IRWt5fpeQ5euHMF81orULxe9Lm5mGfP7vneUi3cdc0cnvrickqzbNQ5/Vz39w28uT/x/gvWedlIBplws4+gNA9s2eBrFyPdk4ik01E7U/ztJ3YO3sQuLy+PoqIiFEVh165dwz5uvJlZH6W7akQh3OIjWONCDScWrm1tXUdLy9tIkp5pk77XI3WhqiqNb7xJ+eQpHDmyDEmy0Nm5gwbne2yZYuLbmX7O33aE+2qaOeoNIAPzHVY+W5TFz6cU8stje/nBg/fy3X1b+GJxNgstBmRFodNi5z9NTm7cfYy5H+zjzgMn+E99KzucHo54/Kxtc/H9IzWct/UwFb4gxYEmnt31NTJLRemurJNZfq2IWi4M6Dm/KKPfC1Nzk7h4ZWdfiCSdnMpSVRXPtkaa/7qL9KBKe8TDO/WPkr5koigJNZghP3oeqe7fJxJLzVRHI5mlCxYDosIjHAx2q5xJTk+Z1EvLMOTZUNwhWh7cR6Cqk2Ctm+YH9kJYwViaimX24B1A79pyF5WdleTZ8vjVql+hk0eW7pufM59frPoFAI8efJTHDj520jZy1LBaUyMizRMmTGB/XSfNrgBWo46lZSdHcTY/9ySqolC2cAlFM2ef9HwitIXCbOlw825jLTtZyHbpHI5nFfJiZ4CfH6vjnK2HuW1fJa2hMLPtFl5eOIVc0+DpqUS5YIbwsL01gBDRGwyUzBVVMce2n+ynUlWV5j/di84p8Xbl2eSUnttn9GisGF5Zw0cIXbqZcLPvJJ+I6/XXsbrEydrpH0Y0BMCSJi5gnmaqy4X/o3daJsbMzJm8dPwlDrSI7cyzZqLPyyPc0IBn40Yc55wzrCXEIiIlll4RkWjlTMPxoyiRSL8+gZhPZNeuXVRUVDB58uS+DxQOQtUm8fMQjKqKEmL//m+iKD4yMlYxY8bdyLL4WM5xGjhijVCuzGSJ4yFumvk+/3vNXaTbjDSsE9EX+1ln9RtSXDQxnee/tIKvPrGT9w43c8djO/jDjfO5ct7gIVLZrMcyNxvv9kY825sxzbwKtv4D9j0LUy5I+P0NhtfrpU6WQVXJ3bABNRIZtER84cKF1NTUsGPHjrhvZKi0Rdu7d4+IKIEw7nW1uNbXovqj4XC9jHVOFqmXlvbbQ0JVVY6V/xqAovoAtt8vA0sGLPsfWPZlAsdPsM9uI6LXk5teRErhF3igpoE3ly7BK9sgEMQoSVyUlcpVuWmsSLP3GI3uXTiLE7/9JfLhfUz94q1Ikwv5w4++x57sCVRnF1JfXEprKMLTje083dh318nzHTK/2XgH+YobipbEH584K5N6C+T7JMrq+64MU5QATc1CiORkX3TS8+E2P+3PHRU9bgBvgYU3N/0VIq54BYP45SwRZeA1W2Hu9X0eKyZE6gIhgopC9sRSbOkZeNrbqDm4D5t1Ek7n9hFXzsSQTToyb55J0193EW7y0vzX3fHndBlmMq6fOujn692qd3nx2ItISNy96m7SzcNretabi0sups5dxx+2/4G7t9xNaUopywuXd60vGhGpaRJeoeLi4ngJ9vJJWZj0Pb9H7Q118ZLWZdfeNKS1eMIR/lPfxiN1rRzxxq4VOpBEKpJYS5kqEY2x6mQ+X5TNlyfmYEuiBwvggpm5/OLVg2w+3obTFyLV0rfIKV2wmKNbNlC5ZyfLr+/ZiNP11lsEDh7Eqzfx+qzzeWX1pKSucaic1hERAH26uED3Hn7nfPEl7B6Ra2ytG0E+Njr8rjZqLuydlonR27AqSRKOaLmi653hD8Gr6EeIpBcUYrRYCAcCtFQPXA6a0NyZ2m0Q9oE1C3JmJLy+2trH8HrLMRgymD3rnrgICTV7mXlcpB42+8Qd7LmFL6NXxRo8a0X0xbZq5YD7T7UYeODmxVyzoJCIovL1J3cNGNLsji3adMq3pxll6tXiwUMvQ2j4EareHDlyBEVVSe10Yauuxrt98H4ls2fPxmg00tbWNqxS3pDfjztqUo6V7oZbfTT9eZeYteOPIBlkZKsewgrenU00/G4b/qN9X+TbG97C5TmAHFEpqegQD/ra4N2fwwPn0fzay5RPnkxEkqlZvJIb6s/ieel6vLKNfDXAL6cUsnvFLP4xu4TLstN6iBAAy7x56DIyUDo78W4TZs9lixZS0ljNysM7eCxF5dn5k/nqxFyWpdkoMBlI1euYYDZyfV46j80t45HIZvKDLWLsgKGrtXZVq5fX9X4UVFzlndRFxUR3WlrfIxx2YjLmkp5+ZvxxJRihc001jX/YHm+0l3JRCf5FPoi4cOnsGPNLunYUE0A1/UdEso16zLKECtT6Q+JGYP4iQPQUiUVEklE5E0OfYSb3qwvFFGoJ0EmYpqSRc8e8eGVhf7iDbn668acA3DL7FhbmDq8Mtj9unXUr10y5BhWV76z7jphUHkWXYkJBod4pxEdxcXGPpnS92fL806iKQun8ReRFU9OJsKnDzTlbD/Oj8tq4CCkyG5hk8FCqljNNbiTX2UppZyufys/kzzMmsG3ZTL5blp90EQJQkmVjSo6dsKLGq736YuKc+QA0Hjvao4u2qig03/tnAJ4vW8XHL5hLum1ojeqSjSZEol+0SLfUTLC6Gt/OnVh94oLl6wzicw/N8BgncxIKEnVRY1GskVlvpmdMR0KKG1YBHOcLIeJ+dw1qZHilo7EeIqW9UjOyrCNvkhBJg6VnYkKkvr4en6+fAUnxtMwq0UMlAUKhDo5X/AmAsrKvYzB01de71lQzp0OkBZotGTilVUCYY+V3E6yuJlhZCXo9tmXLBj2OXifz2+vncc1CIUa+9J8d7KruGPR1xokp6LMtqCEFb1spOAog0Nk1SycJxMRdqTXaoO3NwT1BRqORmdF0zv79Q58TEYuGmB0pWBwphJq9NP11N+FmH7pUIxmfmE7BT5aT/6Mzyf6feRgK7aj+CC0P748PP4sT8nFi29cAyG+VMF7zCHy7Aq55QEQDG/exZfdWjuUW8fQZ53G/K4xXUSn2tfBV9Tfca/4VtxVlk27oPzgr6XTYzxURQVd08OT0ZaswdIjvyfYtW1iebud7Zfk8t2AKO5bP4vCqOWxZNpN7Z0zkvMwUpJh/qVfa8INjLbToVBoyxfE/eProSUMwGxqeByA37wokSYcaVnBvqqPhN1vpfKMSNaRgKksl96sLSTmnmJqdolKh3FbGvrpujddiQqRhD4T6/h5JktTDsAr0FCK25PQS6Y3OYSTjxmkU/nQFhT9bQfbtcxLqonr/nvtp9bdSklLCnfPvTOqaQPw+vr/0+8zImEFHoINvvv9NQlGfli7FSJvkJqyEMZlMGGyp7KgSYvnsXtVP7vY2Dq57F4Cl13w84eM/39jOtbvKqfIHKTQZ+NXUIg6tnM22ZbP4R+aL/JzvcF/ePq7etY6Ldq7jV5PzuS4vg4wBPs/J4PyZ4ibptb39p5tTsnNIzclFiUSoPXQg/rjrzTcJHj2KW2/m/XkXcNvKkTWCTAanvRCJlfB2b2rW+bJoq5x6xgJSssTzbcONimROppkMQoq4gGRl9Z1vtRqslKZ2GVYBrIsXI6ekEGlrwzcMP4ArHKE1JMLNvSMiAHlRn8hglTMpKSnxdVdWVva9UeXQ+4fU1v6HcNiJzTaVwoIb44+H2/x4dzVR4lHQhRTQyeTN/CGSpKe1bS31m8U4dev8+egcjoSOJcsSd187l7OnZeMPKXzxke00uwbuKilJErbFwvDm3dUMs6JRkf3PJfweB0JV1Xg10uRF4k7S9eabCZXRzZoVnVF04MCQhxJ2H3YX8YRofWg/iieEId9GzpfmY52bjSRLSJKEaUIKOXfMwzwzE8IqbY8dJNTQ9V1wv/892mwBUFUmrnxAVBhZM0Tq4TMv0yRP4K/nXs9rc5bRbraRa9TzfWMqt77hYYmynYB/D84EWkzbzxICwrNhAyDKjvMdVlBVqmtq4hOt+0RRuj6fpT2rJD6I9mPIOjMHg0lH0wkXR7Z2RcxCoQ5aWt4DIC/nKhEd+v12Op4/huIKoUs3kX7jNLI+NwdDtpVwKMSxbSInX26bxKH6bkIkbQLYc0EJiwqzfiju5ROZMHs+SJL4u4WiZlVvxahMZZYMMlKCXoGqzioeOfgIAN9a8i2MutG5qzbpTPz+7N/jMDrY07yH32//PSDEU4PcAYhoyPryVhQVpubaKUzr6cPb9cbLRMJhCqbOoHBaYhHbl5o6+J8DJ4iocFVOGu+dMZ1bCrPiETu/L2rmTSlDH20N73QOzRQ/XGLp5XcONdLu6f8muXiW6G5dtX8PIM45TX+/H4AXJq3ijivmY++nwd5YctoLEX2vXiKqquJ8UbTcTrniSjIKhIt+JEKkFnExy8/P79HIrDexAXgxw6pkMGA/W5w4XW8P/S485g/JMuix608OEcYMq4NVzsAg7d7Dwa5wc8nAqZIYihKgukYIiokTv9DDAOjeVAcK7CCMGq1mOhhKpbBA5HVr1GdQUbGdNTRTrEEnc+9NC5iUbaOh08+d/9kxqFPcMk+EeIMVnYSLrxQPHnkDwoO3xh6MlpYWXC4XOp2OKRdeiGy3E25qwrd796CvLSsrw2w24/F4hpye6T5jpu3Jw4Rb/ejSTGTdNltMpe6FpJfJ/OR0TFPSUEMKrY8eRPGHoWEvdfWiH0O2eS6Wop4+psbUSXxs4b3sLxJ38V+wuflg6Qym7HOjBhwYImL76pqHBl2z7cwzQZYJHjtGqEHcBU5bdAZ6dwcA2wdKaTXuE0Zjox0KFsQfVhSVjcdE2e6K2bksumQiAJueP0YoKCKQjU2voqpBrPrJeB/00vbkYSJtfmS7gbSPTSLvm4uxLciJ+yiq9u0SYXBrKg2mXA41dDMgSxIUCvMpdf03kCqKCpHaqBAx2+1kTxTfv5ZjbUiSDkXxEQgmlmIcLX677beElTArClawqnBkDQwHo8hRxC9X/hIQ5tV3TryDnNIlRCZOnMiaaJqidy+YkN8fn0a7+PKrEzreYY+frxysQgFuys/grzMn4uh1DvX5hRCxWIpJTxe+mL56iYwGM/JTmF2YQiii8uLu/vvpTJgtDNJV+8Q5xbNhA6FDB/HrDOxfehHXLxrbydv9cdoLEV1618wCNazg37efYEUFktmM44Lz48Pvhu0TyZxMHSKM1p8/JEZvnwiA4zzRv8T1zjtDvgOq6KdiJkbMsNpaW01gkGFqMSFy7FgfuemGPRD2C4NiVmK518bGVwgGmzEZc8nNuTT+uBKM4Inekf6XIBOiAmV7p5eS0juRZRP+TCfBSSr2QfwhfeEwG7jv04uxGXVsrmjjvrUD59r1aSaMpaLHha+lEOx5Ij0Ta2U/AmKibsKECZhsNuxRQ7LrjTcHfa1Op2PGDHFnN9T0TKx0t1CeTOBIO+hlsm6ZNWAoXtLJZHx8OrpUE+EWH85XK4i8+X3qc8RrCqZ/rcf2J3wBLtt+hApbGuZQgP97+y/8ZN1nMfu9VO0XF//SstsAMb8lGOy/QROALiUF8xxR5eD5QERFJi85M56e2bt3L5H+0pexv9WEZaDrMvYdbnTR6gliMeiYX5zGvHOLsWeYcLcH2PG6EHf1laJ3jO3AQkINXiSzjpSLSsj79hLsywpOKmuNRUMyZy4ASeJg94gIQMF88W/9rn7fa6zNe22g6063eKboH1Nz8CBmkziP+Lwjb/U/XDbVb2JN9Rp0ko5vLfnWiMpgE+Xs4rO5ddatAPx4449p0zm7RUQm8H60KV3vtMzBD97H73GTmpvHpCX99+mJ4YsofG5fJT5FYWWand/20Q1VUcIEAsJDaLYUjbkQAbhuoRART2/vv+t18SwhRJoqj+N3u6n9m4iGvD7xTL567RL0SSgpTganxirGEdlmEI1xVNHYLDaAzHHuOejs9niH1ba6YfZsSC+JR0QKs/oeLR6jLyFiX7USyWQiVFVF4MjRIR26v4qZGLa0dBxZ2aCqNB4feN9lZWVIkkRra+vJX7ZYN9UJyxL2h9TUiJBuUdGnkeWuC6B3VxOqL0wdCpsIc/N00eV0q9ODyZhFlrQCAM9lekzTpyd0rN5MzrHz4ytF9OkPbx1hX+3A4VTrPHFi8+5pgRmi0ycHE2+m1R9xf0hU5DkuFNU4rjffTEh0xtIzBw8e7P8i3AftdbVY9SmkVonPY+rFJSeNpO8Lnc1Axo1CvHq2NFDXWUvYIGM25JCZ0XVHXOMPcu2ucmoCIVK9bm764HVujmwCVz3VLz5BOKhgzzBRPHkxDsdsVDVMY+PLgx7fviL6t4/O5MmeWEq6xYQUDuHxePo3U8dKrsvO7vHwhmg0ZElpBka9jN6oY+X1wjd15K0TnHjwTToDu0CVSGlejmN1EfnfXkLKOcXIxr5LeI/vEJHBWWcK79KxZjeh7s0SY4MgB0jNFEY7INf6u3rWxIXIgX1YrCJy4/VV9ruP0SSshLl7y90A3DjtRialjV3FxZcXfJmZmTNxBpz8ctvd+KUQOlWmPWyh1RPEbtKzuKRn1c6et8WgyHkXXIqcQFnxvVWNHPH6yTHq+dusiej6OKcFAvWoagRZNmIy5oyLELlyfiEGncTeWic7q/o+rj09Q1TGqSoVb76Gsm0LYUmm5oKrWD114J5FY8lpL0QkSYpP4Q21eHG+IkJ4KVeIbpqZhTEh4hlWTjaEjkbEH7zQPHA4P25Y9XYZVmWrFVu0iZXrnaGNP48JkdJ+hAgknp4xm83x0uPy8vKeT8bKdiecSSJ4POV0uvYgSXoKCrrKGFVVxbNBhBmfIcjc4jQ+NS0PGZEvr/UHSd2VDQr4p/tH1Or6+kVFXDwrj1BE5XvP7h0wRWOZkwWyRKjWTSg/2mX10Csjmj2jqmo8pRITIvZVq5CsVkJ1dfj3DR7lKC0txWKxDCk9o6oq7fW1zM84FykCxtIU7H20V+8PU1lqvAlWba4YDpdf9Il4as0djvCpPcep8YfI8Hu5cvc6zjh0ENuNoszx+HaRFiqbl40kSeTnidEJ9Q3PDnrs2PfAs3EjqqIgSRKTFy1F3ykMtHv27Dn5ReEgnBDC5SQhEvWHrJjUNeRuYmkKKwqsnG3V0R4WkSlHZB7FX72Q1EtKka3994NoqjiGu60Vg8nM/DMW4zDpCUVUjjd3i6bmzxf/thyBYNfjqqqyvXE731n7He7b/nMAdnfU83rF6yiqQuGMWSBJtNXVYNBFRxB4Kwf8fY0Wzxx5hvKOclJNqfzP/P8Z02MbdAbuXnU3Fr2FE/Wif0i2msL2A0JUrpychaHbXX7j8XIajx9Fp9cza/V5g+6/whvgL9ES3J9PKSLb2PffO5aWMZsLkSR5XIRIhs3Ix+aL6Ni975b3u13BVHHDtj86Rf69ogXc+fGVYxLFSpTTXohAl2HVu/0gkZYWdGlp2FeKsH9arhVJlgh4w3j76L46GA0NDSjI2PCQGqwfcNu+DKvQrXpmiD6RrtLd/kPu8Q6rg1TOAPEeIj2EiKr2jIgkQH20CiEzczVGY5d5N1jhJNTgxY/KKwS5edlEUgx6ZkcH4G12egi9tQfzXvEFqqk9uclRokiSxE+vmoXDrGdvrZN/b6zsd1udzYB5ShoA3pYJYvaMtxVObBj28buPLc/PFxcW2WyOmzJdb45Oesbd1kqGlEuxbRrIkP6xyQmbE2OkLoWI6QSeDJFays+7CgBFVbnz4AkOefxk6SQu3bWOFK+HObk5SPNuQMmdR6V3PgBl84U4z829HEnS43Ltw+0e+DNomTcPyWol0t5O4Kj4DE5a/P/ZO+8wN6rr/X9m1KWt0va+3mKve6/gAgZswDTTQ00g3/RCKmmQXkhPCCShJCGE3pvB2BiMe1u3tb19vb2vVqsuzfz+uJK2SNvo+YX3efYxSDOj0Wjm3nPf8573LEFnF4HIiRMn8HpHBPtNe8HvEhU8adMjLweCCntCvYhWFKegBhUc25to/+1BUlx+kFR6MkUAkzvr2pjamZGoOSCqZfJnz0VnMDA1QwipT7YNSc/Ep0N8JqBC21EAHD4HX3njK9y06SZernuZ5l6hHxlQDXz9rW9y1YtX0ehvJTXUlsHTJybHD4MRsXvt/LlclH5+fu7nSTS8s06y7wYFiQXcvvh2Ujxi7MhUkjgZsuhfPXX4Kv/w66I/UMmSFZgTxj/XH9Y041VUViXHs2GMLrlhoarRKNIjH0YgAvD5NcXIEmw92TEqs5tVKsYIR59IXUnXXE9Z5tjs/AeNjwMRBr1E3IcFK5Bw/nqkUJtyrU5DYqqYCN+JYLW5WawAs2lH6qsfd/uY6Zk1a0CW8VRU4J9Es7OGSOnu6INoRtjYrPrUuIxPOBCpq6sjEAiZP3VXi0lZaxyknceAqgZpaxNVJxkZw4VjAyE2ZBN+NCYd54c6Zy5LFILhnS0d+KprML8tVN5tbc8SDL5z0WhavJFvrxerhV+/emrMKhrTXJGecR/pQS0NaVpOvPCOPzvczTgzMzOiuAdIOO9cAPpfe3VS6ZmKiooJpWd6mhuZYxValLilWRNKyYyEfPIRfFl/B0nFZC/FoAqG5IHmLjZ19WOQJa7vqCPO66agvh7bsmUgy7SWfgePmoBRdhA2dNXrbdhsq4HBMtnRIOl0mOeKe8x1QPiJ5JTNxKQByeshEAhw4sSJ4TsNTcsMEYofbrIz4A0wy9XB1J/8EO+i9ajf/Daatnr0efG0LmhBtXSgBIwkJUysz1S4wdiUUMOxaZkiEDnROsIxN8yKtJTT4erg2peuZWvjVnSyjstLL+fPq36IhAqSHrMhg5M9J7nu5etQssXkYW8WwvoPQyNy7+F76fP2UZxUzBWlsU3ZPghcUnwJuQHB0KYrSdg7xSR85pB0g9fl4uTbbwIwe+3o/YHCOOxwsamrHxn4cUn2mIyB2yPYGFOMQOT9qGYaDYUplkgFzZ3PHycQjK6gywwFIn1mA0dyZ3LL9e+gb9r7jI8DEQYZEX+ruJnDaZkwbFlhwerkdSLhQCSLNugZP5UQKxDRWq2Y5gu1v2PL1gl9rjuo0OIVOeb8MQKR9MIiJFnG2dc7ZideEPbiFosFn88XaeAXYUOyF4B2/PK93r69eL1taLUJpNjOirwesHtxh+jVp/Bx+YIcjDpB9y9NEtd/d7f4fRJ1szEasggE7HSGHC/fKa5ZlMecnEScviC/3Tz6itw03Sos37vc+NMuES+eeEGUhr4DhAORkU67cStXCk1Qw2m8leOzVAUFBZjNZtxu9+il1UPgPNpBsiGdIAHiz86b/IkrQSj/Dz0Z4rPim5fieKuJU04PP6kRgeQ3MpNxHysHoKSyCktI21HXLZq2FRj2Ih96MHLIzFBA2tb2LKo6djBlWiA8NdwHDgKg0WqZMnchun5x70SlZ0bTh1R3cf2RzTz/51vQ/vUPGMpfJ37Po6Tffz2pxkMYpwo2xF6/hL3Pjd8aYKCnm/baapAkpswTfiHTMkTgECVYDQXsjpb9fO71z0Ws0f+1/l/csewOzspdSbpePEt3rf0nSzOX4g64edYlnv3O6j4AXO4GVPWD65haa6/l0ZOPAqJcVyt/eGWfdrsd2Sumr3QlkbS4Cgps5mFluyd3bMPv9WDNyiGnbHw797vqxO98WXoypZaxjdw8oWZ3RpN4fpOSkgDwer2jey29T/jauVOJM2jZ39DLX7YNF9+rqsqDu1rQBoIoskz2dZdGxtWPEj4ORBhkRCR9IrrcXExz5w57f1Cw+m4YkTboGd+EKFYgAsOrZyaCBo9Y3SdoZaxj3Hg6g5HUPJEOahvHT0SWZYqKhDAtkp6ZpD4kHDikpp6LRjMYILkOtIMC5QSpQ+GKhYNlZYtDjEi1Rk9fXDxxi5eRGdKWNLc8OqHPHf07SXzvQnHNH9t3ejiNPnQ7gxZjWcjDoadAlII6WsYswxwL4UBupMGdbLFgCaUFJ2JuptFomBYS7Z48eXLMbVVVRVclVnn9Kf1oLO+g/0XNVpyBDgbitUhoiG9fhGNnC1+vaMCjqKyxxlNcJ1iJjNZWbHEW9Hki4DldIVIhBYb9sPueSAl0SsoatNpEvL52enp3jfnx5lAg4jpwILLyLF60FJ1dBCK1tbX094d+Q49dWKpDlH9IcOsBfrTpT0iqMuQviKQocOstOI+8BEBf7UqOvdVM40gjtxEIi1Qzi0qxJInVcTg1U90xYgGTNRcVuL13P6d6T2Ez2njwvAeZmTI4WYYFqw7FxD1r7+GS4ktoTxJMSMuJVkCDonjwej+4Et679t1FQA2wOmc1y7OWj7/D+4iwJspmTESHllSdg/y8wZSxqqocDolUZ69dP64e4qjDxevd/WgkuK0gulneSIxkRPR6PXFxYpz6oNMzuVYzP74kJL5/vZI/vF6FP6jQ0e/hq4+V0/noEySHHGFNqZNnQD8IfByIAJokEf3KZhuJGy6MumnDXiKTLeF1u92RjozZtEPv+IFImbUMCYl2Vzvd7sGSxrBOxLVvH8G+vnGPE2l2ZzSM+xBmlrwLncgk9CGqqtDZKSbXoT07VFUVgQjwIj5K0uIiq0kAm15LqVkELUeKp2FZuoSszMsBmb6+Pe/aZXJRgZX1MzNQVPjNa6NfA/NsQfu6j/WhFosUyjupnvF6vXR0CEFcLKfd+HNCQecEOy8PDUTGMjfzVvdh8pgIKH6YPvaKb1SU/4fOFLFaT7auwJSWyYspMvsG3Jg1Mj8vTOfQQcFWlFZWYlkk2AFHj4feNheSBDnWTnB2QIW4drJsID1dVCO1tY5tFmeaMwe0WgJtbfibBQNTMGcBWkVB4xIpkKNHhfaC+rdBVcBWDEli5ar4gnQ+XcUnt45RpSNB5st9JCTMoXSOuK+3/usEPnfsXjQw2FgsnJYBKA518m3uc+PyDdk3cy5PxMfxpjaIXtZz99q7yYkffh9kGcI9Z3xoZS13LruTM8vW4tYHUQMqsiwEth+UTmR703bebn4brazl64u+/oF85lgIN+AsSBVBri2QSIXvfloHhA6vvbaazvpaNDod01edNepxwvhro9BPXJyWzBTz+HqgiEbENPi7Wa1iofJBByIAl87L4eYVBaiqCEam/2ATS3++hRcONnJR7Q6SnSIQaa0ce7HyYeHjQASQdCKFIZmSiV9/ftT7YUakt3VylTMtIT1HclIiZjyiBbh37A6rZp2ZgsQCYDgros/NxTB1KgSDDLz55rifXecKCVUn8FBlTMLYLMyItLe3099aG0o3ScMaiY2G/v4jeL1taDQWkpNXRF73NfQT6PbgleBN/GyI0ZRuiUZc90NlszDNm4fRmIXNJoSdLS1PjPvZ4+Fr505FlmBzRTtHmvpibmOcakUyaAjavfhSQvqWU69M+rNaWlpQVZWEhAQSEqJFY/GrV4NWi7eyEt8EqmGmTJmCXq/H4XBEGLhY6N8qBu9ax2GSC8f2tIkJvxsqX6UjRdxTXXIurxUe40+l4v/XGbqoObIHr9dLgs9HRmsbpoXCwKsxxIakFyZgWBxy0d3398ihw+mZjs5XCQRGD/hlkwnjDMFguQ8KtsNgNpM3czbaECty7NgxsfGItIy/y03nXw7j3duG1t7GqE+yqmBs85OddS1LLy0iIcXIQI+XHU/Hrkzwez2cPioMo4qGBCLJFj3WUA+PoZUzTVKQX9sEa/LlKZdGjAyHYmQJr0bW8JMzf4o3XVzrcMuID0In4lf83LX/LgA+Me0T5Cfkv++fOR7CjEhaqtCRJfvS8ChOvrfjeyiqQkXIzr1k8XJMcWO7L7d6fTzbIYKHT+eMX9IaDHojZnJhRgQ+PMFqGHdsmMFdl88m2azDH1RRVLjeW02Kx45VJ+6btnFsGj4sfByIAM7d21GDfiRJRmuLXqEmppmQZQm/N8hA78TFkZG0TE4umEMlgpNIz4QdVsOINMF7ffwy3roJlO6GES7hba+rRhlH8GixWCLGbDUHt4kX02eITsPjoLNTVILYbKuHp2UOCnZgq+rHDVw4OzNq34VN9QCUz56PbBJ54KysKwFobXsKRfFH7TMZFKfFcUmoFG40rYikkzFNF7+ju68YZC10nYLuyTUgC98Xo/Ud0iQlYVksJrSJ/NZarZaSEuF/MVp6xltrx1fXT1ANcNK+F2tW7M8eEzVb2WMK4ojXoqjw/cNPc4f/FN0GmTynwpQ33+TlbaL8vaiiAgnRpgDgdEj/kzvdBgtuFNeucQ+0Ck1HQsJcTKZ8FMVNV9fY39k8P5Se2T/oplq0cClaRx+oKq2trXR3dw8LRFxHO+n40yH8bU7cOolXE22oozCFKuDLspCefgF6o5azbhBiv4rtLdQdidZRnT52hIDfR3xKKimhypYwwqxITedgeuaufXfhliQWuT1cpx1uvhVG2F21aYipmV6j56ylImBzhjJFHwQj8tjJx6iz12E1Wvm/Of/3vn/eeBgYGKCrS/wODl0SAGn+HExaE3vb9vLvYw9xcocwsZt+5vhdy//R3E1AhaWJFuYmmMfd3usVC0yNxoxOZ428/mEHIgBXLMzl4PfPYfs317DjW2u4sUWkzvM3XAKAvb0NtyN2+vnDxMeBCDDw6iZUt3iyR3bhBdBoZBLTxOTX2zrx9EwkEMnOhuRQY6EJpGemW0fRiYTLeLe/jTKOICqcmskfo3Q3DGtWNgazZUKdeGEwPVNVE/ouE9WHhCaYtNRzI68pviCuw4IWfQkfZZkJTAkN3kMxa9dbSIpCfZKN1tDgnGI7C70+BZ+vi66uiYl4x8KXzi5BI0tsO9U5ailc2PLddaIfNS/k7DpJVqS1VdDHWVmj+3dE0jMT0IkAkTLeEydOxGTt+t8QbEid4yiKUcE0gVLGoai113Lr/p/z75BZVLVXJjVxNoGkiwH4TLWXxfaZxAfiCeKjsLoGb4IRcrNQggpNJ8XgnDfdCvEZUBayy993HyDKqdPThUi8rX3saiTzwlAgcnBoILIYORhA4xSD7LEDO6GrEhUN9ppieh4+ieoNoi9M4McpKn+YdTZyDE5ERTSgDdx4FRqNeOazS5OZc7ZI7Wz5RwWOnuFjRG2obLdoweKoNGhRmmBTa0I6kZ0tO9nauBUNEt/t7kFujW3nn20QjEiLZ3iAXTxd9CSSOsW5ne4evZPve4FeTy9/OfwXQJiJxesn1tvp/USYDUlNTeVgb2gsQMvXFnwNgMdf+yvufjumhETyZ88b9TgAPkXh4RYRJN+aOzGDL7db6EOMxpxhv/dHIRCBUONEq5nkulN4jh5F0uvJuP56kjLEAq+9dnTPkQ8L//OBSLC/n4GdO1Fc4mYMjsJ4hK3ee9vGtkIPQ1XVwYqZrCywioqBd1o5A2AoK0OblYnq8eDcNbaobzKMiCTLpIc68U4kPRNefVf3qgTQTEgf4nY34nLVIEkarNbBHjGeim5Ub5BencRhgqwti14hqqqKdvt2ShrrAXi7VwzqsqwjM2OjOO+2p8Y9h/FQkGKJsDH3vhmb5TAWJyGZtCgOP16b+GwqN03qc9pCvVIyMkYXxcWdfTZIEu7Dh/G3jy9ILCkpQaPR0NPTE9UAznu6H29VH6oEJ+y7sWbmTNjMyBf08Zfyv3D585ezO2hnrkkwZsuKP8uKmb/Bh44yi5H1OhOnZBFg2QJ96AIBDmZ5uWnTTVRVNuF1BTCYtaQVhFJRi28V/x59Atx94nqEApGenu34/aMP5qb5YjL2VdcQCA368dYU0qeUoAuZmx07ehRFNdCj+RmOt8XqOW5VDvrryni7rZ96azb2P90jSno1GpBlVI0GZDjxtVTSln1+2Gcuu7SItPx4vK4Ar/79GMFQmaRwUw2V7c5fzEgURRgRJ4qq8Jv9vwHgmozlFPkDo1q9Z4X7zQxhRADSpxSDJKF2C41Pu/0Ybc7xq3reKe4uvxuHz8HU5KlcWjyxPi3vN8IOulOmTGFbKI2qD8LlBRtZkb2CvCYx5pUuOwNZM3aFyKaufrr8AdL1Ws6zTSw4j/SYMQ5nFT8qgUgYPf8SvbwSNlyI1mYjfUqo23rNRy898z8fiDi2bAW/H0krVh7BvmhGBCA5FIj0TJAR6e/vZ2BgQLhHZmaCNcSITCA1U2aLLViVJGmwemYMczO/okYo3bHMzIYic4KdeEEEVvFxcfhULXXkTkgf0t0tdC2JCfPR6QZ1Ec6QSPUlxYcKrJkWHYh4q6oI9vSwoFqkHbb3DupsMjMvCx1/G17f2OXHE8H/rRQamJePtnK6OzrolLQyphmh9MxAqMqhYSe4xq6qCMPr9Yq0AUSMzGJBl5YWqd6aSHrGYDAwZYoIdkd6aTjeECs4l82JK9CPNXtiaZl9bfvY+PxG7jl8D37FzzleFwUGMQHn5FzNA80i4Pl6YQb+hRaaNT1IKpzTJco66wvNHOs+xl9eEANizjQrctg8LW8ZpM0QZmPl/wHAYikmLm66sHzvGJ1l0iYnow9pldwhYSxA8cIlaB19SECnw8dJ/w9xO2eARiL5ilKS1heyp74HRYUpKRaSPvdpOHUKvvENuPJKej+1gl3/yMV7zTri4qYO+0yNVua8W2eiN2lpr+tn97NiMuyoq2GgtwedwRixYR+KorRQxVfHAK/Vv0ZlbyXxung+M/8rYoOOE+CPHnPC/WY6fAG8QwTIeqMJW3YuXntIMCwH+M7btxN8Fy6/o6Giu4InKoX+6luLv4VmAvboHwTC/a6SM3Ko6HHiDDFbyoCf78//DvntIr1yPH388eDfLWKbazNtaCdo7BdLqAqDgYjdbp9Uy4X3A/7m5ogpovWGGwHICC02x2vn8WHg40Bkk1jN6gtEY7rAKIxIcqa4uSeamgmzIWlpaej1+kmlZiw6S0QQFl3GG0rPbN2KGghE7Qui10dQBZMskT6KRfFIhCtn2iZQOSPLMlNzRG70hHaWaG8+Drq6twFEzKtAeId4Q54Izwc92Cx65uQkRe3r2iNWnMtVEVxt7x2IpB8slmISEuagqkHa2959/5fpWQmsKk1FUeGBHbF/K3MoPeOu8qKmzgQ1CNUTs98PsyEJCQlYLGOX0sWfE+o9s3lixw6nZ4bqRHwtA3hO9IAEjbKgZJMzxxaqdrm7+O7b3+WTr36S+v56Ukwp3JW4gK+qgolKTJjHU91a+gMKRSYD61MSKW8XwU++koqpRwzIN3/iLrLjsknoEAFXUvEQ3wlJgkWfEv+9776IH0tGqHpmvN4zg2W8g4FI0aKlSEoQg1M8o5WyCdkAqZ+ahWWBeL7frhITz/LikGaruBh+/nMCD/2NI9f24c7WkZv3yZifmZBi4uyQXqR882mqD3REqmXyZ89Dq48O+sMakbqufu4uvxuAG2bcQGLKVDCniHunPdoV16bTYAxNjK3e4emZ9CnF+Bw6VFVGL0NV517+WfHPMa/XZBFUgvxo149QVIX1BetZlDH+YuODQE9PD319fciyTKNfPD8DWnGdlH4v9uM1aIMSdrOfB7qe5HDn6J2sG9xe3uodQEJ02J0oRpbuhhEXF4dWqxUd3O1j9696v9Hz8H9AUTAvW4pxqhjbMz5mRD6aCKdlAMzzRQlkMIZGBAZTMz0TrJwJV8xEOu5GUjMTKzUdLT1jXrgAOTGRYF8f7kOxPSzCaZl8kyGqa+RoyCgSN6voxDt+sFVm6QPglFqAMs71CAa99Ib8IWwpqyOvu490ggrtCVpaUFk1NRVNjFWJc48QXC0vyMEky7R6/VQ4B3+nyfQrmQg+dYYIGp860DS87DIEw5QkZIsOxRXAm3KNePHUyxM6dlgfMlZaJoywTsS1b18kBTEWpk6diiRJtLa20hcq8Q6zIabZqbR1ipXkaEJVv+LnX8f/xYZnNvB8jQjqrii9gucueY51TcfpTA2twlPX87dQueNn8lLxuN0RI7GZgVx0uWcgJ6dTMG8l9616kPQBEVT/ruMnOHxDqsZmXwWGBOipgTrBmIV1In19e/F4Rm+JYF4g0jNhh1WAlNx8MtOLmacRzESdpoWUz83DMGWQct9eJc57ZclwPUBL65MEgwOYzcXYhqQOR2LKvFTmrB3Ui5wKpUiHVssMRVaSCYNWRjEfob6/nkRDIteVXScCsTE68UqSNNiF1xMjPaNKKF4xJqVqVf506E9RY8W7wWOnHuN493HidfF8c/E337PjvluE0zI5OTnsrhf3khrywwn2+zix/Q0ANDOzUFD4zvbv4PLHTqc/1S6eqTOT48ibQAo7DI8nbGY2/DmSJOkjkZ5RnE76nhBMlvXGGyOvp00pAklioKebgd6JMbgfFP6nAxHHVpGWMZQUY5wmVvWBvtiMSFKaGSTwugK4HeNXaAwTqsJgasbeFDFyGgujBSKSVivKOxk9PVM/gR4zI2FJSiYxLV1UHUxAJ5LvOowBD86gNuISOhr6+vaiKB4M+nTiLIOUtztUgfC6Kq7nmqkx9CHBIK69QpBnXbKYM5PFCnNz1+CKQ/Qr0TMwcAKH490PxmcUp1BgM+PwBni+PNpSX9JIohEe4HKLCZHqLaLB2jgIMyJjpWXC0Ofmig7DwSADb2yLer/D1cEjJx/hzp138rnXP8fXdn0NJVEwC8/sfIaaqhO4j4lrHL86h95W8TslZw1nROxeOw+feJgLn76Qu/bfxYB/gBm2GTx8/sP8YNkPSHD24rNX0ZsoBvzDmlU0e/3YdFquSLdy4MABAoEAGRkZZOhNSDoj5sVXImk0eBo0SMj0Wzqp8B7m29u/PZhGMMSJYARg//0AGI1ZJCYuBFTaO14a9dqYFohqHM/xiohwO9DhYnn8xZSSi0aVsEs+uoKDFQKNPS7qu11oZIllQxrdKUqAxsZ/AJCXexOSNPawuPzSIvJmWPF77fQ01ws31fmxGQONLFGYYkFvFU6t1067ljh9SIydIVq00xajWR+QFS7hjWJExMrW0yMYpjPTSgkoAb69/du4A+/e1bPD1cEfD/0RgC/P/zIpppRx9vjgEE7LFBUVsbtWpDgtNiHcdbfbaThSDsDNV3ybNHMapx2n+e2B30YdR1VVnmoTwcLlGRNnQ2BQrGoy5ka991EIRPqeeRbF4UBfUBDpXQUirRdehHTWv/OGoe8H/rcDkU3C5TP+vHURm/dgnxc1RidWrV5DQkqo58w46RlFUaIDEUsq6CyACn2nxz23SCDSEz2xRioqtmyJyc7UTkKoOhTZ04SfQdOJ8RuoaVsOUIpgd6L6e4xAmA2xWgc7PgZ6PfgaxYrmMYeg/JcPmRzC8Jw8idLfj2yxYJw+nbU2oS95vXtwgtHpkkhNESmr94IVkWWJTywRq/h/7WqIeY0j5mb1oJqzwNs/2OV1DIQZkYkEIhDb3KxloIWvbfsaa59Yy8/2/Iynqp5ie/N2djTv4IgsJrX9R/az44mXQYWjtlp+fuxn+NxukCQO+k7wXPVz3F1+N7e+ditrHl/DL/b+ghZnC1ajlTuX3cl/LvgPs1NDE2X1ZjptepAk4uNm8J+QFvb6LBs6VPbuFamzpUuXovYJhkKyTEdxByJlu9Pn5GPQGHir6S3+dOhPg18wnJ45+TL0i6AvLFptH6N6RpedhTYtDQIBPMePE+hy03nfUbRBLQPebvROMREMbQa4PZSWmZ+XRLxxMGXZ2bUZj6cJnS45qv9RLMgamXNvmYnBJAI7vSkbnWn0apK0lDY05tPIaLly6pWDb2SENCWh5ncjMRojklZQiCTJhPT1nJM1l1RTKnX2uogY9t3gl3t/idPvZFbKLC4vvfxdH++9gqIo1NWJMSchLZvmPjcaWSIl1C+pu1pY3mcWTyUvbyo/WSG6GD926jF2tQwX95c73NS4vZhkifNTJl5BFgg48fsFm2A0RjOLH3YgoioKPQ8JTVbyDdcjycOn+NR8sSDuaHh3JpDvNf5nA5Fgfz8DO8TEkbDuPDTxetBIoKgE+2OvbCOVM+MEIt3d3fh8PrRaLampIQpYkiZVORN2WG1zttHjGU6jWVasQDIa8Tc14T0VzV5UO0UgUmKenHtmuB9D04ljMd/3ugMiSOtvBXsj0xDf4+TJk2Omq8KBSHLyYHWN+6iYFAbSjPSoCjNtWiz4o47j2i1y8OZFi5C02kggcqDfRdeQtElmpqhgaWt77l17igBcviAHg1amorWfQ419Ue/rCxKQE/SoniCe1OvFi+OU8QYCgUhFy0RSMzCoE3Hu2EFwwMmr9a9y8bMX81rDa6iozE2dy6dnf5ofLv8hP1r+I9YuFIFLiieFJf0ikPhb/GO8fVQI1/pNPr729jf43o7vce/he9nduhu/4qc0uZTbF9/Opo2b2Fi6EXkoK1C9hc6QiZkr6RLe7htABq7LslFRUYHD4cBisTBj+nTce14gaG8GRYNje1PEyGzeghJ+uPyHANx/7H5eqg2xHWllkLdcaCUOigE0LW09kqTB4Tg2qmuuJEnCZRVw7j9O531HURx+tDYNuzofQu0T99exY8ci91Q4LXPmkLSMqqqcPi3YmOzsT6DRTOyZMZi0JNqE0FpR8tn6r9hl0wB9OlFanqldPpxdCDeJbD8OwegUYNjUrGUEI6IzGLHlDApWg75WfnLG4KT7St3kTfbCeLH2RV5reA1ZkvnBsh98ZASqINLdHo8Hg8FAg1vcjzOyEjCGFpHOUBlu6TJRVr8saxnXTBOp0x/u+uEwtuipdnFfrktJJE478e8YTstotQnDRPdhfNiByMC2N/E3nEZOSCDpkkui3g8HIp0fByIfDYTTMvriIgzFohW6JlHc3KPpRJIzJiZYDetDMjMz0QwtH7MWiH8noBOJ08eNKliVTaZII7FY6ZmqUF+Bogm4qg5FTplgRNqqTxHwiWDM4/Sz7eGT3P/17dz31bf45+07ePuRI/gUI8WpJjQaDb29vRHL8pHw+/vpd4jAJjl50G8kHIgcdjVxTfPjrNn/J+7+1NU8eNtnOfbGZtSQeDGsDzEvXQKIssYZcUZU4I2eQVbEaj0TvT4Fv78nUqHzbpBs0XPhbOHz8e/d0d4qkixhDqdn/KHvdeoVGCMg6+7uRlEUDAYDiYkTW4UZSkrQ5+ej+ny8/J+f8PU3v44n6GF+2nye3PAkD53/EF+c90UuK7mMS0su5fPLP09GRgYSEk2aHtQiI59Z92XOTxLGTpLVwry0eSzNXMrGko3cvvh2nrv4OZ666CmuLbsWk9Y0/ASCAfyNb9OTJCbF1wLid1hrSyDboGNnSGO1ePFilNOnCfb14qsVAnDH9mZ8fV40OpmskiQumHIBn5opGJA7dt7BqZ5QEB1mRQ78A4J+9Hob1pDz7lieIqa5c5AMCXhrUwn2edGmmEidvYup/lrW7NzN5U89xcKnnqJt+3YCQYUd1eKeO7NkMBjo7d1Ff/8hZFlPTvZ1E/pNQLiptlaK+1prKKJ6fwf7XqqP2q7N2UaDRwTiWscI7UlyoehZFPBAd7SAMMyINHmiF0bpU4ojgYjb3cDyrOXcMusWQFzb6t7Je0U09jfyk90ioPnM7M8wzTpt0sd4PxHWhxQWFrKvoQ8Q7Rk0CeI6qE4RzJUsHuyD8+X5XybDkkHzQDN/KRd+KAFF5dl2sf/GSaZlPKHS3VhsCHz4gUjvvx8CIOmKy5HN0eZsqfkFwMeByEcG4bRMwnmD7aHDze9imZrBEMFq29iByDD/kGEHCDEiE6icgdF1IjDEZXVEEzxXUInklIsnyYgkZWRhSUomGAjQVl1J52kHj/xwD8e3t+AZEMd02n0cPqTjqZ5f4LEtj1i+j5ae6evbCyiYzYUYjSIdEegRaRkVla6KR0nxDzI+vS1NvHrvH3j5z78h4HbhDrlnWpYsiWxzTqjef/OQ9Iwsa8lIF+Za74WnCMD1y0Qg+OKRVnqd0ZNB2NzM02RA0SSA/XTMCogwwsFaWlrahH08JEki/lzBirS/8hwA15VdxwPnPcBU69SY+0wtFBqCermDtHOncl7BeczTCjHy6jnr+df6f/H3c//Oncvv5Nqya5mSNGX0E2gtpyvOiypLGEylPNcjAq3rs2w0NDTQ2tqKVqtl4cKFuPaLtIw+U0KXHQd+hRKDCEK0ehGQf3HeF1mRvQJv0MvX3/w6A74BKNsgUpeO1girlD4kPTMa02Aom41p+VdAjkeTZCDllllo/v0XVj5xjEUna5l+/Dgrdu4kY/Vqmn5/D/2eAAlGLbOHVGbV1f8ZgKysqzAYJmZoBdBwpJyA30dCahqrrxdB074X66jaP9zz5ZGTj6CgEHBOobkjefhBZBnSQyXgMdIz2WEvEU80w5eaXzgsEFFVhc/P/TxLMpbgDrj53JbP0enqjNpvNDh8Dr70xpdw+p3MT5vPrbNvnfC+HxSG6kP21YsxY1GBFU28GLeNsoX0KSVC6xaCRWfh+0u/D8C/Kv5FRXcFb/U66PIHsOm0rEqenEFbxEPE9NELRLzV1Th37gJZxnrttTG3CTMivS3N+H0Tdwl/v/E/GYgEHQ6cQ9IyYUR0IqOW8IZTM2ObmkVVzEQOEPYSmZhQaKxAJG7NapBlvCdO4Gsa7C9SG2JDrDoNNv3k2nRLkkR2KD1Ttf8QL/ypHFe/j+QMMxd9aS63/PZM1n9mFmbdAD2BfJ4/eBbFIeFcRUVFzAkjVlrGdVRMyJ3uRlxBF7uTF3P93Q/xhQcf48xrb0LWaDi5402e+8kPCLpcaBITRZ+dEMLpmW09/fiH6HkyQp4iXV1v4PO9e1X4nJxEZmUn4gsoPHGgMep9fW48GqsR1afQbryBbe2FvPCn3/Dmvx+guylaB9QeMiZLS4tt6z0a2heKQGF+jconS64b19MhrzcJgGZND8FUcQ/0NIeEqpmTtHavezPS5K42/mq6/QFSdFrWWBPYFaoYmTNnDhaLBdc+EYiYFy4k8bwCAAoNMgUFg4O9Rtbw8zN+Tro5nfr+en6464eoGj3MC6W3QqLV1NRzkGUDLlctAwPR97/iCeDcL6NJzEHx2Em6OB3tqTfh4VokFWRVjfyhquR940vk97ZwRklKpDKrt28ffX17kCQd+XmfntRlqdormKDihUuZcWb2oPPqP0/QXi8CZJffxZOVTwLg7z2DXpef7oERY0tmSIcTw2E10m/G64t6tlLyCvAN6FAVCUXx4fW2oZW1/HrVr8lPyKfV2cpnXv9MVFo3FsJBYXVfNWmmNH658pdo5cmNHe83vF5vpGN1SmYule1CV7aoIBk5xIiYtHGULl0Rte/KnJWsK1iHoircufNOnmgTKZyL05LQTdA7JIyIh8gojEhSUpLYzuPBPY779XuNnn//G4D4s89CN3LuCSEu2YYxPgFVVehuHF+r+EHhfzIQGdi6FTWclgm5hAJok8ZmRMKpGVe/D48ztg4hGAxGKiOiGZGJm5rB2IGINjk54qUwsGXQZ6I61OyuyPTOuquG0zPH3tiD2+EnNS+ey7+1kNzpVgxmHVNmJXNFyu3Eyx3092tpOyCh0Wjo6OiITLRDESsQ6XhTUPKNnipeSD8fz4yzSEtJxmC2sPjiy7n0W3eg1emprz5JTVoS5iVLhomu5iWYseo09AcU9tkH2an4uGnEx81AVf1jCh0nCkmSuGaxqKZ6+mB0MzmhUxA0f3PTVA705FBZ3cn+F57mX9/8Ijsef3jYBBJmRNLT06OONRo8AQ/f7bqf7ngw+eBT3thlomEE+70YjrmxKnEoqBGmqqdFDKATNTOLHK/uDbqTxUD/RkDYZW9MT6avp5tTIX3SsmXLRAfl/YOBiCY/ns6gikaSSGkfziAmG5P59apfo5W0bKrfxKOnHoUFNwGS6A/TcRKtNp4Um+ia2tb23LD9FV+Qrn8ex9/iQg26ce/4Lf6GE/CHn8X8DhKgSnDVkdeG6UPq6wQbkpm5EaNxdLv9qGsSCET8Q0qWiDTA8o3F5M+0EfQrvHzPEQZ6PbxQ8wL9vn5y43NJ14prV9M5gk0do3Im3IHXGVToDww3yErNLwRVwtsvgpWwlibJmMQ9a+/BZrRR2VvJTZtuonlg9EaITr+Tz7/+eXa27MSkNfHHs/9IhmVi+qUPEg0NDSiKQmJiIlWhgrmiVAu2OAN+SYzXOtlA8bzY7Sa+tfhbJOgTqOit5cVQg7vL05NjbjsWRnNVDUOv1xMXJ6qiPkhWJNjfj/05UXKffN31o24nSRJpH8H0zP9kIGJZsYL0738P2y23DHt9aOVMLOiNWuJC6ZuhOhFVVXEMnKS19Rmqqx9Fo+3FYDBE2kJHEEnN1MMEnBDDgtVWZytd7miXwLCQsf/lQXFaOBAptkxOHxJG3kwhoPO5GjEnyFz4hTnoTUNWR50niFObWJd2NxqtROPRfjJTxGQd9pIIw+frYsApJqvkJJFaqX97H0aXEVVVqSot5bQ5j4UFwweEgjnzOftTnwWgMsOKo2R46kAjSZxlFazI5u7hxkFhp9X3Kj1zwaxM9BqZk20OKlqGN4sKBvxs3/sIAOnGAmYk+liVVkvhrFkowSC7n3qEHY/9O7L90NTMRHF3+d3UDTRwdLoIggfGcVl1vNUMAZXSBPGbHDt2DL/Hg71TfLYtZ3zzuQj8HrqcB1E0EkFdIVv7RFB1RUYyu3cL7U5paSkpKSn4m5sJtLeDTodpzmxaa+wcdQZQAKXGjidkXBfG3LS5fHXBVwH41b5fcSzogDJhZsYuESBkZFwCQGvbMxEBshpQ6P73CXx1/UgGDVrLMRRHK+5D5XAytq+O2FElx97BGcUicLTby+npfRtJ0lCQ/5mJXxOg8fgRvE4n5sQksqYKgzNZljj3UzOwZllw2X289JcjPHL0UQA+UfYJilPF/Tq0+Z34kkMqZ0awHmaNjFUnmK+RJbzmhEQsScmR9IzLPahjyo3P5cF1D5JuTqfOXsflz1/O01VP4x8i4lZVld2tu9n4/Eb2tO3BrDVz99l3x+wE/FFAZaUwWiwpKWF/g5jgFxeK8bX2yH58ihj34k2xNR8pphS+suAreE0L8COTZ9QybwIN7kZiNFfVofgw0jN9Tz2N6nZjKC3FvHhs87mIYPX0x4HIhwptSgrWT3wiSlUc1oiMJlaF6J4zffYD7Nt/KXv3XkDFia/T1PwDFi9+llmz3sbjGUHnJ2SDrAPFD/2jr1LCiNPHMSVRTMLHuqIrWRLWrwNZxn34ML4QbVkdSs1MVh8Sht+bAHIcEGT6cjAnjPAiaRKeHmmFySy6UNzQ3tOCej969CjKEDvq3l4xWcXFTUOvt+Fzu6h8chsAbrOLN3SCzl6QH70ymb58Jdl2J0gSe6qPR3UFPiclHIgMDw7S0y9CkvQ4HMfp74/tzzAZJJp1nB3qf/PMoUG/FFVV2XL/PVQe20mntwlJklhetIyFtmYuO7+MtbeIXiV7nnmM429uwev1RkzGJhqINPQ38O8KEcjMuVx0PR3YMrqjbrDfx8BuUR48Z40YjOrr62msrgRVxRSfgHkyze6a99OZLIaIo3E34VVVplmMFEgK5eXlgGBDgEhaxjRjBrLJxOmKHhwK2EPBfd8zVSi+4b/h9dOv5+y8swkoAb7+5texLww5mh55DAY6sNlWo9en4vf30NW9FTWo0PPISbyVvUg6mZSbZ2CeF7J637sdzB5Bf4yCgYxscq1i8qmrFyXEGemXYDJF+0GMhUhaZtFS5CEpMr1JywWfm40xTkdX4wBFh1YSp43nkuJLKB5i9T4MaWWiE7G7V3gMjcBYgtWUvIJBnYirfth7hYmFPLT+IeamzmXAP8AdO+9g3ZPr+Mab3+C7b3+Xy56/jFtfu5XmgWayLFncf979Hxn31JFQVTXCvpWWlrK3blAfAlC5ZweegLiuo1U8AlxWfBmaJNFwMyNwfMI6raEYjxGBDz4QUYNBeh9+WHz29deN+71S88Wc8jEj8hFFmBEJjOIlApCcMeiw2tzyGAcOXIXDcRRZNpKUtJhgMA9VlTCZT7Jv/8X09Q06PyJrIFkIICeangl7ORzpjJ5UtampWJYKKrL/JVEOWRNmRCZZMQPigd/1TA0arThHz0AMLUtTqONpziLmnJ1LvM2I2puATqPH4XBE6vwBekakZd5+9CFsqqB9k5aXcqJVBBGxAhF3+WHKGjvQKQrdbS2Uvzbc3GqNNQGdJFHt8nJqiMuqXm8lPW29ONXmhyd9DWLh0nki3/pceQvB0H1x7I3NHN36GkgSySEnVpd3hVjUntrEnHPWs3SjKB18459/oyEktIuPj8ccQ80eC384+AcCaoCVOStZtv6TaJKSCPb14dp/IOb2jm2NEFDQ58WTMb+AnJwcVFXl8OFyYJJsCBBseJsuq6D+t/jFSvmKDCu7d+8mEAiQmZlJQUGB+O77RYBqXiSMxsJlu8aV2WgS9AS6PfRvHl59JEkSP1rxI3LicmgeaOZ7Dc+g5iyCoA9234Msa8kM+Xq0ND9O939O4j7eDRoJ2w3TMRQkYoqPJ7WzA+vWt1FdqsjBjEC4o27XBeK+6O3dS3f3NsGGFHx2UtdEUYJU7xMB9tDqjDASUkys/8wsFCnIlJ45XOn+DBadZUjzuxGBiNYAqaHqlBjpmdFKeCEsWA2lZtwNUe9nxmXy4LoH+dqCr2Ez2uhwd7CpfhPP1zxPdV81Ro2Rq6dezVMXPcXMlJkTvwgfMFpbW3E4HOh0OjJy8iKdsRcVWPG6nDQcKccdFNdVcYweiPQEFPq1YhKuabxvsGprgggEHAQC4rNH04jAYCDS0/PBuJcOvPkW/qYm5MREEi+8cNzth5bwTsQl/IPAx4HIEGgSDOKKBFWUgdg3dLjnjMP7FCdPfgdQSU+/iOXL32TB/EeorbmKgwcuRKebSiDg4FD5jcODkUl4iQDMShXU7ZGu2Kv7hNCNZ3/hRYKKMpiaeQeBSGNFDy1VfWgNBQA0HIlBdYcYEXIWotVpWHZpERIyepfIvQ9Nz0SMzJKX09PSxPHXXyfVKCbDOqsRRYXsJBOZiSNKRgHXnt3ogwqzbSJ3v+uJ/wyznk/QalhlFUzMCx19w/bNzvkEICou/P7h770TrJ6aRrJZR4fDy47qLgZ6unnzISGqPOOq68m7cCGSTibgMuFTp0HtG+D3sOzyq0krLMLrdLLrZaFzmCgbcrTzKJsbNiNLMl+Z/xUkrZa4s4VmYqi5WRiBPi8DewQbknBuPpIkMTfUNK+6oRGVyetDejq3ENTK9EpTOOiUkIH18YaIgdmqVasiq6+h+pCBXi89LU6QIHdWKkmXFgMw8HYznlPDB+cEfQK/Wf0bdLKObY3b+GeR0D2x56/g7CIz8woAurvfwlFTCVoRhBhLkuHBB9Gdcw62nh7i+/uhPDRZSxJoNKiyjCJJqJLE8xddhCFNj6oqVFf/HBCVMmZz4aSuScvJE7jsfRgsFnJnzI65jcvWxfZCYbFtOJhDa42dolSxgIkKRGCITiRG5cwopmYgJhRffyg1M4IRCUMra7lp5k28evmr3LP2Hm5bcBtfnv9lfnnmL9ly5Ra+u/S7g06vH1GE0zJFRUUcaxkgoKhkJhrJSTZRe3AfSjCAYhAT6liMyLPtfShI2OhE9rfxq32/mtRE7A6lZXQ6K1rt6H2iPmhGJFyym3zF5cim6LF0JKzZucgaDV6nE0f3xCur3k98HIgMgaSRRDDC6M3vrJkWTClV6DLERJSf92lmTP8tBn0Kfr+fjo4OXK4kZs64H5t1JYri4eixL+D1hnw2JtH8DmB2ihikjnUdi9lhM/6ctUh6Pb6aGuorTuJWFHSSRJ5xcoGIqqrseV4ERzNWCz1HZ0Mdzr4hD5PXAV2hpnjZYsIonp9GUroZ3YDIvZ84cQKfz4fH04Lb3YAkaUhKWsT2//yTDEMBsiSjTTOxp08EFbHYEABnqNHdrLPOwZqVg8c5wMGXhze125CaBMALnX3DXk9MmE9cXBmK4qW19d1rRfRaOeIp8syhZrY8cC9el5OMohIWXbwR2aDFNDPkKSJvEB1l67cjyxrW3vI5kCSaGsSKNWJwNw7uPyburwunXEhJshBUx68Nd15+PeKzEoZj62kIqugLEzEUJQEwc+ZMtFotTp8fxWiZHCOiKLSpwovioFGUAq5Mjqf2wD58Ph8ZGRlMDVUy+Ts68DecBknCNH8+jSdEVUJafgLGOB2mMhuWJRmgQs9jpwj0DE99TrdN59uLvw3A7xtf5VD2TPA7YcfvMWnzifPMAkmhL38rKTfMwDTVClVVcMstSIqChGA8JJVBncUtt6Bcdhn7pxXz90vPp3zuXHqb62htfYF+xxE0GguFhV+e+PUIIZyWKVqwBI02dmXJv0/8mxNpu3DkNaEq8Nr9x8i2hAKKXje+wPDfbrByJoZgNVzCG4sRGZqacTegqqPrzgwaA2dkn8HNM2/mllm3cP6U80nQRxtyfRQxLC0zpGxXkiRqDohxwpSeBIwdiDwZMjH7VF4helnP3ra9bGvcNuHzCKfajcaxm0Z+kIHI0JLd5GuumdA+Wp0Oa7ZIR35U0jMfByIjMFjCG1snEpfqJ2vZX5FkhdSUCykq+mZkVdje3o6iKJjNZpKTM5g1624sllJ8vk6OHf8KqqpMunKmOKkYk9aE0++k1h7Nomji44kL9Z45ukMwEAUm/aTL0loq++hocKDVySy9eCZphSL3Xnto3+BGrUcAFRJyIE6s7CVZYu7aXLT+BLSqCZ/Px8mTJ+ntFVUF8fEzaa9upHrfLrLNYkI1TbdxICQ4ixWIKC4X7sOinDF+2XKWXSEmwgMvPYtnYHBFuS5FpGdOOT1UDknPSJJETrZgRZqaHxbX/V3i0vli8Dm8dz/V+3YhazSc+39fimgEzKHuri7/MlRVD5XC1CuzeCplK1ahGMRKJSVl/L4dDf0NbD0t3DjDBmAAluXLkc1mAu3teI4NaoYC3W6cIf+KxBAbAmA0GiMdef1JNmzZEw9EAu3ldCVJwjhOnQvAhmRLhA1ZvXp15HPcB0SqyDBtGpr4eE6H0jJ50weFg0kbitDlxKG4AnTed5SAfXigf0XpFZxfeD5BNcjX4yS6ZZnA7mfovHsfCSeEGVt/4dvoikLapwceEMxHLMgyJCejeeIJtl9wKQ4tqKqE1+uksuqXAOTn3YpBP7keKqqqUrVXPGMlS6LLRAF6Pb28WPsiSHDWJ2aQkGpioMfLkafrsOg0KCqc7hlR/h8RrMZIzRhCJbwxGBFrdg4BtwklKKGq/jGbBP63oqenh9bWViRJorS0dNA/pNBKMBCgvlzce8mF4vkMjpKaqXJ6OOxwo5HghtwCrp8uKkv+XP5nlAmOD+6Qq+p4mqJwIGK32wkGxy9KeDeYSMluLETSM/UfByIfSQyamsVmRJpaf4fOZMfbn0FK3O3DhEFDjcwkSUKjMTN71l/QaMz09e2htfXpSXfh1ciaSP72aFfsnhQJG0R65kSNWHW/E6Fq+euipnzaskxM8XqKFwrtSc3+PYMbtYRSNeGuoSFMXZqBOcGA3ilW+4cPH6bPLgKYpMRFvPnwA8jIZCcIUy3DNCuHm/oAmJeXFHUurgMHIRBAl5WFLieHqUvPICU3H6/LSfmrg+3hE3VaVibHTs+kp1+ERhOH291AT+/OSV+PkZiXm0ShzczCDuE/M3vt+sjDDGCYkogm2YAa1OMKroRTmyKr88UXX46iF/eVnvEHvYcqHkJFZVXOqmFmY7LBQNzqVcDw9Ez/ltOgqBhKkjAUDhejzp4tVtv+RBuW1IlX63TVP4yikegIFFHnlTDIEgnVFVFsCDDMP0RRVBpPRAciklYm5frpaGxGgj0eOu85HOk1BCJ4vGPZHRQmFtLp7eefSVfR7vo1/g4/Ce5FGLTZBBQ7bW3Pih3q60d3sVVV8T5w1FCIBBhddrKyThEMtmPQp5OX96nY+46BtppKHN2d6AxG8mfPjbnNE5VP4A16mW6bzqK8+ay7dSayVqLucBdn6kQwWtc1soQ3FIjYG8E1PHWVE2FEoidYjVaHLSsXX6iE1x1DJ/LfjooKYV1QUFCAwWTmYMhRdXGBleaTx/G6RPVS0pRQINIfe9x+OtRpd401gRS9lptn3kycLo7K3ko2N0SnOmMh3OxuPEYkLi4OjUaDqqrY7fYxt303mGjJbix81KzePw5ERmAsRsRuP0hLy2MAtO2/gf6O4QNhLCMzs7kwQgFX1/wCf3yosVtv3Zh24EMxKyWkE4khWAWIW7kSOT6eerPI9U5WH9Lb5qT+aDdIRIyZihaK9EzD4UP4PaFr0XJQ/Js1b9j+Wp2GsuWZGN2CFaipqaG7WwQwro54WitPkh4/BY2iQY7T0Rmnpc/lR6+RmZoR7Wzo2hvqL7N0KZIkIckyiy8WzbfKX3uJgH+Qpt6QJibekekZrdYSKeVtanpoUtcjFiRJ4qKETtJ9nQQ1epZtvHr4+7KEZYlwjh1QNqDamyIuq4mZ2ah6cV+d3jN2UDTgG+D5GjG43Djjxqj3IyXbr72Gqqr4Gh24Dom0X+K5BVHbJ+q1yB43yBoq6+on/H3b+98G4LBWOJyuTDRzNGS3P1QbAsP1IZ0NDrzOAHqTlvTC4dS/JtFA6q2zRDDS56XjnsP0Pl2F93Q/isuPvl/ij8k/5U8Nt3NlyydQiUMnnSR9dRN5hTcDUN/wV1HKW1AwOiMiSVBQQF2Xkx2+DPySFsNAHXn54vnJz/8SGs3kSzdPvL0NgCnzF6HTRz9j/qCfR0+Kkt3rykT1QmpePEsvEuzi9A4FiwJ1XSN0IsZESC4Q/z1CJ5IVYkRavX6CMcaLlPxCvOPoRP6bEW5aOGPGDI639OP2B0k06ShJi4ukZQrnLUSbKJ4vJUZqRlVVnmof7h2SaEiMsCJ/Kf9LzLT3SIT7zMTqujsUsix/IOmZyZTsjkRqXgHw0Snh/TgQGYHRbN5VVaWySvRhkNxrcXeVRPWcCQciI43McnNuxGIpxe/vpa7/JUAC3wA4o71BYiFSOTOKYFU2GIg/9xwa08VEONkeM8feEg9YwawUktLFAJ2aX0hCajoBv4/6oyEmJMKIzIs6RtnyTDRBE3qvFZ3Og9dbD8ChZwV1OrdMTKDGaVYOt4hVwrTMeAwxGk45Q43uLEsGzbtKl51BnNWGs6+XUzvfiry+LiURnSRx0umhyjn8NwunZ7q6to7aPG2iUJQg5gphp38gcS5+fbRYzbIoA7QSfqUIn1oKlcLfJaKeDwao3rMdr2t0Z95N9ZtwB9wUJhayMH1h9GecuRJJr8ffcBpPZSV9L9SACuZ5aehzo4O63pYmdL0ibbNnz54JUcV+fx/dmi5U4E2t+A0K2xojbMi0aYM9SIJ9fXirRJ8U88IFkW67OdOSkTXRw4s2yUj6F+ZhmpUCiopzbxudfzlMy49203bXfrSv9FHkzsEle/hH6nM8nP4ztG98gWylGL0+BY+nUXRYvuaymF48KogA/1Of4uWjrfhlHc60UvLm16HV+nE4bPT2Tr6HSjDg5+TboofR9FVnxdzm1YZX6XR3kmpKZV3BYOuIOWfnkJoXjyagcpZbR11XjN9/lE686QYdGgmCKrSPoxNxuesn/b0+yujt7Y2kZaZNm8a+SNluMpIEtaFApGjB4ki/maAj2oV2n93JaY8Pi0bm3CGddq+ffj0J+gRq7bW8Uj9+o0BPmBExjZ8Ceb8DkcmW7I5ExOq9rXVwofkh4uNAZAQ0SbFNzbq736C//zCybMJq/hwAPUOs3r1eb6Sz6shARJZ1lBR/B4Dm1kfx2kI38gQrZ8KC1ereapz+2H1uki65hNPp4nOnSBNXggf8QU7tEU6wM1cOPmCSJFG8SKRnqvfsFD4H4fONEYgkpZnJKknC5MwiIUGs0GUlg+7TnZgSEknyi3y8qczGkSYRiMzOifa0CPb34wmtgsxD+stotDrmrROr8wMvPhMZbJJ0Ws5MFkzQiyNYEYulGJttDaDQcPrvE74msVC1ZycDbc34NQYOxs9ic0W0i6zGosM8W6SnBgIXQaXoZ9TVJQJOvaoQ9Ho5uWPbqJ/zTNUzgPA8iDW4aOIsWJaLslH7c/vxnXYg6TUkri+IebzuptPo7N1oJQm73R5ZYY6FjsbHUWXodOVSHzRgkCC4X2gjzjvvvOFsyMFDoKroCwvR2myRst2haZmRkE1arNdOI/X/ZmOaaUOOE6t+tKJHTcJ5+dR+ws9jKa/yYHIcD8bp0TxyHfl6UQZeX/N7gru+ChcZhUpVo0GVhJ4FSYL774fiYl48IjQTM1clkFzkQFUkqiqXcvhw7BTnWKgrP4jb0Y8lKZmC2fOj3ldVlX8dF92Dr552NTqNbvD7amTWXDcNJJjm12KviUHXZ4Q68Y7QiWgkiUzDGCW8Y3iJ/Lfj6FHxOxUUFBAXFzdMqNrT3EhfeysarZb82fOQ40ON73wKqnd4gPpom9jvwtQkzEOC43h9PDfNuAmAew/fS0CJ7c8D4vd1T5ARgfc/EJlsye5IWJKSMScmgarS1fjhp/Q+DkRGYKhGJDzZqapKbe3vAcjNuZ6ULCH6G8qItLaGSicTEoiPj16ZWq1nkJi4EEXxUZ8XKrGaYOVMqjmVTEsmKirHu2JPJMG58+hKFmmftLe2Tei4ALXlnXidAeKsBnJHTB6lIUFe1d5d+OpDotXkAjDHnmTKVmSi8yWTlCAevo7TYgBdce61KH0+0MoYSpI4EtKHzM5OijpGxZYnQVHwZadgTxxelTD77HVoDQY6T9dz+thgb44NaeI4I3UiQMQ1s7X1Gbze6OBhIlAVhd1PCcrdMHcNflnPy0djCwPjVohgzq2cSeB0Iwx0RgKR9AzhoXLk9Vdj7lvdW82RriNoJS0bijaMej7x55wDWiP+DvF7J5ydG6n2GonupkYkVaUoU+hDtm3bNi4r0t7yNADlqlj5Fw/0oQv4KSsro7BweLnr0LSM1x2grU54w4y8l0ZCkiQMhYnYrptO1veWkv3j5WT/eAXpX5xHwpo81s04ny/PFynN31qT+btBIXvTgxi8Ch5/B/WGGliRDbtegW98A/+yZXRbrbRceincdBM1nQOcaO0n1dRLeoqonGo/morTaaW2tpb+/v6xTi8KFW8KNmzaGauRNdEs3q7WXZzoOYFJa+KK0iui3k/NiydrifgNCuq9+DwjJr0wIxKjciZnDFOz1IIpkUDE+f9RIKKqasQ0b/bs2SiKyv4hQtVwWiZ35hz0RhOyXoNkFL/L0MoZZzDIc6Fx4ZrM6Hvy2rJrSTIk0dDfwMt1L496PoFAH8GQV8l4GhF4/wORyZbsxkJKKD3T1fRxIPKRgybRIFZZAQUl1HG2u3sbjoHjaDQW8vJujfSc6e9yEwi5RY6WlglDkiSmTPkKAM1xdnw6acKMCAzRiYySnqkNDVLJ/XbUxx+b8HEr3hYTatnyLOQRlTZZU8tIzszC7/VQ+XZI0BWDDQljytxUtDoNifFi4u3pzyQhLZ2CkNjWWJQIWpljzWISmJ07yIgM+Ab48tYv8+rTvwbgzbRuLn72Yna2DGoqjHFxzFwtUjwHXno28vr6UHqmYkT1DEBS0kKSEhehqj7qG/464esyFHXlB+hqbEBvMrHuSqFV2V7Vid0dvULVZ8dhKEkCNDiCl0DVa5FAZErZdDQ6HR31NXTUR//2L9YKIe7KnJXYTLZRzyfurDUYpm1A0lrQJGojwU8shJvvLZg3D7PZTE9PD4cOjW6F7vW20+utEmkZs2hbn9lQhU6n49xzz43a3nUgFIgsWkjTyR5URSUp3UyCbXKDo6TTRDFAt8y6hS/M/QIAf7QmcW+SjZJqMRk05FoYuOZeWLIOfv5zlAceoDM1jYH6BtRgkOfLW9DJPm5b9G+CwX4kfzbte62YJTVk8hbdZG40OLq7qN4v9DEzVp0dc5sHjj4AwMaSjSQbY5ekn3lJEX2ygiUoseelEYuQcAlvVyX4hzdLG6uE15yYhKSICdbjbhyzhPe/CU1NTfT09KDT6Zg+fTo1nQP0uvwYdTIzsxIjgUjRgiGsaTg9MyQQebHDjjOoUGjSsyQxRjpVZ4losf5x/B+j+oqEPUT0+lQ0mvGLAd7PQOSdlOzGQkqonL/7Y0bkowdJK0du6LBO5HSj8HTIzroavd6KOUGPwaxFVaGvQ6RnhlbMjAZr8jISEuaiSgpNmcYJV87A2A6rANWhCTi3oxXPsWN4Qs3OxsJAr4fmSvGglC3PjHpfkiRmrBLeFcfLhQ5grEBEb9SSP8uCOUGkevrcOZSeuwFfqEuVcaqV2i4nA94AJp2G4pDbpC/o4ytvfIWtjVuZVS+O1VmWQb+vn8++/ll2Ng8GI/PPvwgkibpD++luEjnbJJ2W1SFzs+c6oh/8wsIvAtDc/Ahu9/jW+iOx73mxop69dj1lBRmUpsfhD6ox0zMA8asEdesMnkPw+JuRQCQzO4cp84Wo7OSON4fto6oqr9YLpmT9lPVjno/i1KIrEhOixnIaSRv7MVaCQXpbRYCcnl/IypUisNi6dSsDAzGMtRDMERJ0D+RSLyehUYLkd7exdu3ayOA6eB5OPMdFVYN54cKYZbvvFv835/+4bcFtANybaOG+mTdhS1yBKqkcbfolfr+4twzFxUhmM4rTibu6hqcOnObWWf8izViFVhvPzBm/E51qm+sBKC8vn7CZ1eHNr6AqCjllMyMiv6E42nmUPW170Epabph+w6jHSUkysTcp5My7tYn+7iEBR3wmmFNADULH8CaXY5XwSpJEsq1UlPDix+NpmdB3+qgjzIZMnz4dg8EQScvMy00m4HLQWnkSIPI8AWhC6Zmh7qqPhjrtXpVhHVVHcUXpFZi0Jqp6q9jVsivmNmFr97EcVYfi/QxE3mnJ7kjYcoWDdtdHoAvvx4FIDAxWznhxOCro7d2FJGnIyRGRsyRJgz1nQjqRWBUzsZCbexMAzVkmlN6JMyJzUkUO+UjnkZgDaFW4625oUup74olxj1m1vwNUyCxOJN4aO8ovO3ONMOTqCtDjNY0ZiADkzO5AkhW8LiNer4WWfhfeBsGAGEqTOR4Sqk7PSkAbytf+bM/P2NO2hwyPkbxO8d1u/9x/Iq2779h1BwM+MXEmZ2RRHKroObRpsMPuJaH0zLPtfVHXx2pdQXLyMlTVR13dH8a9LkPRWnWKphPHkDVaEQQB588SQdto6RlDUSL6DBkwYD+VFglEbDYb01aI8tuTO94aZkpW0VNB00ATRo2RldkrRz0fNaDQ80QlkiTjb9qLa9dzo27b196KEgygNRhISEll4cKFpKWl4XK5eOmll6Kuk6oqtLSIFNRBn9Bj5He3UZSTzaJF0ap89+HDEAigzcpEm5lJ43ExWcRKy/iDCs+VN/N/D+1n/R+2c/HdO7j96aMRP5mxcPPMmyOGZ4+e3sTfuxR0+nRcrlqOHPk//P5eJI0G08xQmfvWrVxa+EcWpB9BkvTMnvVX0nIWMGX+IrSOXmQJuru7aWqK7u0yEgGfjyOvCyHjvPWx02UPHBNsyPlTziczLjqgHwpNtokGbRAlqLL72SHPvySNmp7JDjEiLTFKeAFS8qZESnj/f6ic8Xq9EX3InDli3IsIVQut1B8+iKoqpBZMISFl0CAwnJ4MMyINbi+7+pxIiNYEoyHRkMjGko0APHj8wZjbeMI9ZsZodjcUSUlJof08uN3usTeeBIIOB/bnxbg32ZLdkUjJ/ZgR+UhDG+nC66Gx8R8ApKauwzRELR1Oz/S0OnG5XJHINzNz7IEoLXUdBq0Nn16mXZo4IzLNOg2trKXb002TI3oAPeEUN/vMIhHl2l94EWWcB6A6ZIJVumj0tvQJKalMCQ0Ge7tzIHPumMdUtIIyHWgV1Pypqkp6FAcaqxGtzRjpYDsjS5R27mvbx1NVTyEh8TOzMC4zlJVhTsngh8t/SE5cDm3ONn5/8PeRz5i3TgQEFW9txeMUAcp5KYkYZYkat5djA9Hfu6joGwC0tj1NvyO6geBo2PeCYEPKzlhNvFUIbi8IBSKjpWckSSLhwukAdPrPwO/3I8syVquVwnkL0ZvMOLo7aa4cZK3CbMjKnJWYdaOXltpfqSPQ7kI2a/AeeRT3oUP4Q119RyKclrFl5yLJMlqtlksuuQRZljlx4gS7dg1f/fX27cHtaUQOqLxoEVUf0x3dXHHFFchy9FAxVB/S1+7C0eNB1kpklw5nTo422Tnnt2/y5UfLefV4Oyda+znc2Mcje0+z8Z6dXH//Hpp6R68kAtHB9g9r/oBZa+attsP8rdOAJJvos+9jz94LaWz6F8EVKQysCdKf/Sfmph4nqOqZNfMPJCeLwHXRRRuRFAWNXUxq4VX3WDj+5hbcjn7ibakRb52hqLXXsuW00I98cuYnxz1eQWoc24zinqna105X0xBmKpyeGVE5M8iIRN9rALac3GEOq+81VFWloqKC+++/n1/84hf8+te/5vnnn6e9/Z1prsbD4cOH8fl82Gy2SC+jffWhjrsF1oiJWeHcBcP2kyOpGbEoe7RV/M6rrfGRYG40XDf9OjSSht2tuznZczLq/XBqZqKMiMFgwGIJLVbfQ1bE/uxzqC4XhpLiSZfsjoQtR8wVA709w4wiPwx8HIjEgCZJRNae3i7aO0TePjd3uKdDcoQRcUbYkOTk5HEbmsmyjpxsMeE2WwPgmZjhjVFrZKZNrPgOdEQ3PTsxIFIzc2aUocvJQXE46N8UWxQJ0NfuoqPBgSRLTJk3ttHV0iXCvKrCnk6fffQJQ1UUmuuFo6i7LYeMJHGjl2vrMJYmI0kSFaFGd9MzE/AH/fx0908BuLz0crJPCubAEuroataZuXP5nQA8VfkUbU6R8smdMYuU3Hz8Xg/Ht70OQJxWw1qbCG6ejSFaTUyYQ3r6RYBK5ak7J+S22tvaHHHSXLjh0sjrJenxlKSJ9Mzro6RnjMXJGJJa6ZPFoJicnIxGo0GnN1CyWHy/kztEGbKqqrxW/xoA5xWcN+r5uCu6GdgRuteumIqhTJidDWzZEnP7cOrKlj2o8s/KyuKss4QI9bXXXmPHjh2RjsktzYINOdK7lG5jItpgkG+uXR1TfA3gDLmsDk3LZBUnoTMMijlfONzCxnt2Ut/twmbR86WzS3jwpkXcfe18rliQg04jsb2qi/W/3z7qtQzjrLyzePj8h8mJy+Fwfxe/aZPxa6x4vW1UVv6QupJn6b8iiBznodudTGr+/aSmDupasqfNIKu0DG2vqG47duwYfn/syR0EG7L7GaG3WnjhJTFFqg8eexAVlTW5ayhKKhrz/AGmpFjo0KoMpImJce8LQ1iRSM+Z2IxILFMzAFt23vtWwqsoCi+88AKPP/44jY2NeDweBgYGOHjwIPfeey/bt28f1nH73UJV1Yh77+LFi5FlmeY+N819bjSyxNycBOpDPbAK5gyvXgqnZoIOH4qq8nioWuaqMdiQMLLjsjk3X9wr/zz+z6j3PRPoujsS73V6RlVVeh8Vz2jS1Ve/o+7BQ2Ewm4m3CUbpwxasfhyIxECYEekOvIaieImzTCUxYfhNH07N9LS5JpyWCSMz51okFeyJOpyt2yd8XvPTxTkcbD847PWBQJDTofxxWbyZpMuFoLL34YdHzYNXHxCDfs60ZMwJY68WMjVt5Ft6UZHY+cToHW33PP842niRk/Xa12MeEBNgrdzBQIYQCYYZkelZCTxf8zw19hqsRitfmvclnKEVejgQAViSuYSF6QsJqAH+c/I/gGAc5p4nStbKX30pkuK4JE08+M+298b83iXF30ajsWDvP0RL6/ipqwMvPQuqypT5i0gJ5VPDCKdnXjnWNur+SavisUvCPdRqGDT3mrrsTABq9u1CVRRq+mpoHmhGL+s5I/uMmMfyd7joeUz03Ig7IxtTmY2EIeZmsRBmRKwjesysWLGCFStERdTmzZv529/+xmuvPU5bu6gaeD0o2JBVCSZK82PbwgsbfjFhWpYu5XQ4LVM2OOi/dryNrzxWji+osLYsna1fW81t55SyZloaF8zO5K4r5rD5q6uYn5eEwxvg0w/t5+E9Yw+IxcnFPHLBI6zJXcNpr8p3G9wcChZhjp+NSZ+LvlIi/lEtL1b/mHnFw7vjSpLEksuuRONyIPu9eL3eMcuZD29+hYHuLuJsKcxeG63bqbPX8UKNoMk/NWtiTq0FKWLcOJqkIklQd7iLjlDqMhKItB8f5pESZkR6/EFcwehJ3zqEEXE6aiZ0HhPFq6++ysGDB5EkiTPOOIPPfvaz3HDDDUydOhVVVdmyZQtPPvkkgcDopa+TQU1NDV1dXej1+khaJlwtMyMrAWfradz9dvQmE1mlw/1ghopVt/U4aPb6SdRqWDfEO2Qs3DhTLDY31W2KLHrCiDAiE0zNwHsfiLj27sNXU4NkNpN48cXvyTEH0zMfrk7kfzYQ2VzRjscfW2GuSTagotJlEqv7rOzo6DPMiNjbXRMSqg6FwZCGzSWYk5b2pyd8zgvSBRV5oH04I3IqJFRN02ux6bUkXXkFkl6P59gx3AcPRh1HVVUq9wk6v2Th6GmZCFoOsiJVTBAntr9B5Z4dUZs0HC3n0Jb70OhUJNWM31mE0iKTH0wFCfY2HqbD4aXb6UMjS0xJNXHf0fsAUR1hbrcTaGkFnQ7zguFBX1gA+OSpJ3H5BSMz/cw1GCwW+tpbqQtRtWfbEojTyDR7/Rzoj2ZuDIZ0poRcbquqfjamsM/Z18vxbYJpWLRhY9T762eJUty3qjpxemMPwroFK3FpQmLOVhXFJVbfuTPnoDOaGOjtoa22ijebhHB1cebimGmZ4ICPrn8eR/UG0RckkLiuAID48wR74tqzl0BndBfNoamZoZAkibVr17J+/Xr0ej1tbW00tzyMJCn09aVRHWKyri4Y/X52HTgAfj+6rCxIz4qInvNnimqfY812vvDIIYKKymXzs/nb9QtINOuijlOQYuHx/1vGVQtzUVT47jPH+PtbY2unkoxJ/GHNH7hj2R1oNGb+2dLKV6taqUn+DMrf04l/S+aW9NgBeOHchRTOmR9hRfbt2xdzO0d3F7ueEoHvso3XoNVHB+t/OvQngmqQ1TmrIxqu8VAYCkQqnB5KF4t76OCroeDLVgQ6s2ia2D0YUCRoNcSF9FSxdCKmuHikoAgABwbeu0CkurqaPXuEueAll1zC2rVrSU9PZ8qUKVx99dVcdNFFaDQaKioqeOyxx951MKKqKm++KZ6F+fPnYzSKBeHeiJGZ0IcA5M6Yg0Y7/H4aGojc3yTY1SszkjHGMNaLhRm2GSzOWExADfDYqcHKQ1VVPxKMSO8jjwCQeNEGNHHvTcfkQcHqx4zIB449td18+qH9nP/H7Rw6HX2TaJKNeBJr8ZpOI8sGMtIvidomLtmAzqBBUVSam8Yu3Y2FLFU0gGt17RGW1RPAvLR5SEicdpymwzWoCzgRCkTKLEKXobVaSbxY6Ch6/hFNM/a0OOltdSJrJabMnUDjr5ZyMk0OFq8RK8zNf/0TLZWDedS68gM8d9dPsGQIXxVbylLSC5JI08rMCwjfiWMVx9l/UkyMRakW3mh6jaaBJqxGKxtLNkbYEPPcucgj0lurcleRF5+Hw+/gpbqXANAZjcxcI6jUg68IS3STRo6sfp6NUT0DQiycmDCPYHCAEye+PWqK5uDLzxHw+8gsmUp22Yyo96emx1NgM+MLKGw7NUorbb0Fu0X8tok+Ez1PVKIqKlqdjsJ5wjW1et9u3moSKZrVOaujDqG4/HTdf4xgtweN1YjturJIlYw+Nxfj7NmgKFFpuGDAH0nNpOYXRB1XkiSWLFnCF7/4Rc4//xxyc4VeSe2x0mtKxCRLnG0bvTurc5coZzUvW0pLZR9Bv0Kc1YA1y0K/x8/n/3MQX0DhrGlp/Grj7KjS8KHQamR+sXEWX1hTDMBPXz7B3W9Uj7p9+PwvL72cxy98nNmps3H6nfxq/085lS2ud1lP7IFVkiTW3PRpDI5eUBSam5sjjGYYqqKw6Z7f43U6ySguZebqtVHHOdJ5hM0Nm5GQ+OL8L455rkNRYAsxqU4fJSvFeFF7qFNU38kaSA/da0PSM5IkkRXyEhlNJ2KJE2k6X6ANZQxjrokiEAjw8suCIVuyZEmEnRh6TvPnz+eaa65Bq9VSVVXFM888867SNLW1tTQ2NqLVaiOMHTDY6K7AGll0FM6NNpXTJIqUep3Px5aefiTgk9kT63YdxrXTRNr86aqn8QVF0Ofzd6MoHkDCaBxbAzgU72Ug4u/owPG6SEO/m5LdkQgzveFFy4eF/8lAJKCopMYZqO10cvm9u/j37uGDljbJQH+mWPWnJJ+LThc9IEuSRHKGGUX2MeAU9Pt4QtWhsMUvROdT8OOhtzd2ydhIxOvjmWoVeo2h6ZkTIXHmtLjByhfrDYJFcLz+Or7GxmHHqdwn0jL5M2wYYqxSh2GgAxwtgMTy6z9HRnEpHucAj935bV764108/Ys7eeYXP8Tv9ZBaKo6VlLSIglkppOkkUtR4ptjyUFWVIwfE9yzLiOcfx/8BCJtls84s6uIBy/JlUacgSzKXlYi+MZvqNkVen3vuBSBJNBw5RHez+I6XhHpJPN/RF7M3hyRpmD79LmTZSE/vDurr/xK1jdflpPw1MQgvvuTKmLlYSZI4b6ZY0b5ybPSup92quHcSVQOeEz30bw41Jgy51lbu3UF5ZzkghKpDEez30XnfUfytTuQ4HSk3z0ATN3xlnnjB+QD0v/TSsNd7mptQggH0JjMJqaOzXvHx8WRkViJJToxSIkcMYsI5LyVxmAvlSDh3h36vpcs4fUyk4/JnpiBJEnc+d5yGbhfZSSZ+d+XcSHXUWJAkia+fN5XbzhGNEe969RS/21w5boltQWIB/1r3Lz4786uoio7qPBEMV+98edT+IdasHM7YeDVah5gg3nh18J5SlCBbHriH00fL0eoNrP/816K0IUElyE92i3YPG4o2UJpcOu73C8Ni0JIequ7o1QsGSVXh8OuhZzScnmkd7nOSbRy9hBcgOXUqSkACgni9776Ed+/evfT09BAXF8eaNWtG3a64uJirr74aWZY5fvw4L7/88oTLoodCURS2bhUdpxcsWBDRJfU6fVS2CyHlnHQDrVViATRSHwIgx4tr9HhOyEjRaCLFo07qfFblriLNnEaPp4fXG8TE7wmlZQyGdGR54u0z3stApO/JJyEQwDR/PsYhDSffLTJLprH4kitGrQj7oPA/GYisKE7hta+uZMOcLIKKyveePcZvXjsVeV+VAzgyhWAqzTi6p0NypgW/TgQhqampGAwTv0llWzFpXULI2N7+4jhbDyJWemaQERkMRAwlJVjOOANUlZ6HBpu+qaoaqZYpGaNaJoJwKaGtGI0licu/+xNKlixHCQY4ueNN6g7tR1UVZqw+G3O6mASSkhaRP91KilZM4GesELoHT3sdVslJsq2Fyt5KjBojV5RegRoM4gxRwEP1IUMRFnHub99Pl1vQrknpGRQtEL1QDoVYkZXJcSRrNXT4Auzqi60EN5sLmTb1RwDU1v2e7u7hnh7lr76Ez+3ClpNH0fzRlenrZohA5I2THTHTfF6vl36PeD1fI0RmjjcasW9uoHDuAmSNlr6WFuIcMqXJpcNKP70N/XTcXY6/xYls0ZF6yyx0qdFpm/h160GScJeX42sa9EgJd9VMzS8YU9QWDHpoCBm95TqzeS5VCFkvS49tygUQ6O3Fe0JMCOYli6mPBCI23jjVwdOHmpEl+OM182KmY8bCl84u4dvrRe7/D1uq+NWrp8adSDSyhlNV83DWfpnTGSLnLR+v5qZXbqTWHjvNs/jiyynKEYxEVV09m/72Jw5vfpknfvRdDm9+BSSJc279PNasaN3X45WPc6LnBPG6eL664KuT+n4wmJ6p6xpg3jnifE/sasXt8I1aOTNWF14AW3Y+3veohDcYDLJ7t2C8zjrrrEiKZDQUFxdz2WViobB//37eeOONSX9meXk5zc3N6PV6zjhjUCcVLu8uSrUwUH8SJRgkOTOLxDTx7ClBhdpDnbz692M88K0dtGrh2WxxHfI2tfOv7+zkvtu288pfj1K5r42gf2zGRitrubxUaOzC6Rm3J9x1d+JpGRgMROx2+4R6PI0GNRCg77HHxTGvuXqcrScHa1Y2Z15zIyWLYo+7HxT+JwMRgCSznj9ePTeyAvvT1uoIHdzdvY2gbgCNJ4k47+i5X2umhUAoEJlMWgaA5ELSO0Ug0tklRLETQSQQCVXOqKrKyVDpblnccDdL641CfGV/8imCDnGePS1O+rs8aLQyBbMmkJZpC63MMsV1MJjNbPjq7Vz+3Z9wxtU3sPzKT3Dz7/7KmTdsIBDoQ5aNxMfPIM4XQCtJuBUVWZvMrFmzkIDFukYafGKlcf6U80k0JOI5cRLFbkeOi8MY8oIYiZz4HGalzEJRlWFtuxdccAkAx7dtwWXvQy/LXJCaBAhPkdGQmbmRrMwrAZWjx76IwyFEi36vhwMvC2+OxZdcgRSjbDWMOTlJZCYacfqC7KiObmDY3S0maIvsJUXzColzRYWUY8tpBp5ooKhMpGfy2s2syBZUdHDAR9+LtXTee5ig3Ys21UTa5+agy4h2hQTQpadhXiyCsf6XBy2qOyKBSGHM/cJobnkEn68ToyGL+nYz7YYUkiQlYhAXC649e0FVMZQUM6BYcHSLsl1rYTzfe0aURn9yRSEL8kcPZsbCZ1YV8f1Q+fM922r4yUsnxgxGHt/fyHPlLRBI4fZr/oGi1ZDghtaqcq54/gruO3pfVB8RSZK4/Au3YdZqQJY5dPAQr9/3l4hnzAVf+gbTV0Y3t2vob+B3B34HwBfnf5EU0wSeoREYDERcZJUmkZYfT9CvcGRb05Dmd0eGdefOmkAJr+89qpw5efIk/f39mM1mZs2aNaF9Zs6cyQUXXADAW2+9FVUaPhacTiebN4tnevXq4VVaQ9My4bLdgjkLUFWVU7tbefjOPbzy16NUH+jA6wzwn3w9Hq1EgUNhrqJD1kj43AFqD3Wy+f4K/nH7Dg5sqo+22B+CjSUb0UgaDnYcpLK3Ek/IBHGiHiJhxMfHo9VqURSFvr6+Se07FAPbthFob0eTnBzRhf3/hg8kELn77rspKCjAaDSyZMmSSHnWhw1JkvjS2SV89/wyQNDBTx5oorXtWQAS2pai9I1+wyYPCUQmWjETgbWQJHsAgzdIIOCgu3ti1TPz0oShWFVvFXavnVavnx5/EI0EpebhKxfLGSvQFxehuFz0PS6qROoOiwkzpyx5WJnlqAhTxOGVGuK65c+ey5JLr2TZxmuwZmXT1ydEf4kJc5FlPd7KPgA6/Cr1x3o4c/UaAqpEhuygvbESgCunXgmAc5dwTjUvXoykHd5fZijCrMjQ9ExO2UwyikoI+H0celWkJy5JTwLgpc4+fGPkrKdO/SHJycsIBp2UH/4Ubnczx97YjLvfTkJqOtOWj24sBiDLEueFWJFNMapnIkZmcYIpi9c8SdIlxaCV8JzsYZ5rJWekb+QK+/msq1tM14PHaP3FXgbebo501E373Fy049ilJ8RIzwwyIlNG3c/v76O+/m4ACjKu41mTmHQ2pCaiHyMAC6dlzEuXUX9UBFvZpcn8fWc9zX1ucpJN3HbuxNMVsfCpMwr58SUiKL3/7Tq+88yxmKzTzuouvvesCH6+fHYJc4rSMc8QOosLXCX4FB9/OPgHPvHyJzjVc2rYvjqDgbPWCcZTyi4gd+ZcFl9yBTf/7t6Yv71f8fPtt76NO+BmQfoCriy98h19t8FAxIkkScw7V+Tpj21rxp84DSQNuLqhfzDFMm4Jb04e3v73pnImzIYsWrQInW7ijNaiRYsipeHhapvxoCgKTz/9NG63m7S0NJYMaXQJRBxVF+YnU39YlO2mFc7g2d8e4vV/nKC/043RomPuOXmc8/W5vDBFPGvftCZzw4+X8ek/ruLyby1k4fkFxCUb8Az42f1sLf+5YzdV+9tjBrhp5jTOyhPf4/FTj79jRiTsHQRDOnC/A/T+R4hUky7fiBxDNP3/A973QOSxxx7jtttu44477uDgwYPMmTOH8847j45RTJg+DNy6cgqfWy08AH74/D46u7YBkNC6LGLzHgvJGSb8OkH/Z4Qamk0YZhuSIYG0TjGwhP1KxkOKKYWChAIADnUc4mhIH1JiNmIakYuXJAnbTTcB0P2PB1E8HuqOiMmxcPYEV3Lh1Ezm2FUBfX3C3CopSaQyPKEqio6AQsPRLrq8Go4HxTWa3j2dGckzmGETE4ZzpwhELEujDaOGIlznX95Zjt1rj3zHhaGqlvJXX8TndrEsKY5UvZbeQJC3ekc36pFlPbNn3UOcZSo+Xyfl5Tdx8FVBgS7acFlM34iRCAcim0+0ExhRWhkORFIyQ1Ur1VuIW5RC+hfmYZiSiKRKZJuLWWxaScJ+Fc+pXgio6HLjSbl5BtarpiKbRg/Mwkg491zQ6fCeOoW3uhpVVSOBSNoYjEht7e/x+3uxWEqwulN5MVW4vl6aNSRlV1UFt98O11wj/q2qwhUSqlqWLaUhlJZJKIznb9tFGuR7F0zHrB//vMfD9Uvz+eXGWUgSPLL3NBf8cTvPlTfT5/LRZvfwxy1VXP/AXnwBhbVlaXzpLCEAN4WElVcH5/OTFT8hXh9PRXcFV794NX8p/wv+4CCrMGvWLAwGA56gwryrb+TMa24kKT36WVZVlR/t+hHHuo8Rr4/nF2f+Ao08gUA+BsKC1boucW9OmZdKQooRj9PPqYN9kBrSAAxJz4RLeFtGYURMCYkEPUKobe+rfEfnBeKebWxsRJZlFi5cOOn9zzzzTJaGnuPnn3+enTt3jspmqarK5s2bqampQafTsXHjRjRDnjm3L8jRUKfuMrOX/s52ZI2WXc96aKnqQ6uXWXrJFG742XJWbCzmMcnDgAxTHEHWDIjP1Ghk0gsTWHLRFK7/yTLW3jydhBQjTruP1+47zuYHKvC5oxebV029CoAXal7A6RJCzol03R0Jm01UkYXZ0cnCV18vxkdJIumqq97RMf4b8L4HIr/97W+59dZbufnmm5k+fTr33nsvZrOZBx544P3+6Enh6+dOZW1ZOmXJR0H1oicbgyOPYO/oKRNV60OV/aBKGKWJ1apHIEmQXDCYnul8nWBwbHfJMIbqRI44xD6z42OvmhMvughtZibBzi5a//MMHfXCs2BCaRmPfbBDcMbsMTfts4cYkaSFBPq8BDpcIEEvEgO9Xo5XdHE0kIlH9hMXiGNFMJyKcOLaLyhXy5mxPTTCyIzLZEriFBRVYU/rnsjrJUuWkZyZjWfAwaFNL6KRJC6KpGfGFopptfHMmXM/BkMGLnctqYsPEpeSwIw10ZUSsbCoIBmrRU+fyx8pMwwjEojkTRN9RLz90LATXYaF1E/PZv+GVt52vUZNfzmeXD+J5xeS/pX5pH1uDsapE+/XoklKIi5UZWB/6SWcvT24++1IkowtLz/mPv39R2hqFp4wpSU/YFtLC/3aeDIVJ0uTQmmgBx+EadPgrrvg8cfhrrtQp03DdOQwyDLamfNore4D4LmOHnwBhRXFNs6bMQHt0QRx1aI87rthIanxBmo6nXz50XLm/mgzS3++hd9uriSoqFwyN4s/XTM/UpkTDkQ8R45ycfHFPHfxc6zJXUNADXDP4Xu48sUrI2Jvg8HA/PlC+DhaOkFVVf5w8A88W/0ssiTzizN/QYZlkguPIZiSKq5vfZcLVVWRZYlZq8Vqu+LtluHpmRCGakRiTeySJEUmynfjrhr2VZkyZcqoRnZjQZIkzjvvPJaFtF6vvfYaTz75JC7X8LHN7/fzwgsvRK75RRddRHr68PumvLGPgKKSkWDEdzpUpSdl4fPIpBUkcM0PlrBgXQE6g4bTbi9/bxTVa1+s8qLaowM2WSMzdUkG19yxhIUXFCDJElX72nn8Z/voPO0Ytu3ijMUUJBTgCrjocQgmzWiaJOvNuw9EekNMtmXlmehzJsfI/DfhfQ1EfD4fBw4cYO3awUFdlmXWrl07qRziBwFZlvjdVXNYmSse/ubexUhIYzIizS0id6gNWLC3j77dqLBOIcERwCgloihuuromJvIaGogcdQhGZHZ8bEdXSa8n5dO3AlD5XEiAmx+PJWkCwtrwiiwxD8yjT4weTwseTzOSpCExYR7eEBuiz40nfZrQCTSf6CWos3PcKq5v/4l++vv7RVrG70eXn4ehcGw9A8DyLFFCPLQrryxrWLpRiLj2v/gMPreLS0Niy1e67LhjmEANhdGYyYyyewl6tVjSPUy7tAdZMzGlvVYjc06ZGEA3HR+enokEIqmpUBrK7VYOppW2eLbzfOJW9ne/ypH+N4lfmYMuw/KOHBMTLhQGb/3PvxDp7JucmYVOH/07B4MujlfcBiikpV2A1bqcZzxicrzY7EWWJMGE3HILKAoEg8P+zWxrI64gn9bmAEpQxWQ18ExVB5Ik2JB36/g4EmeXpbP5qyv58tkl5CQPBtzz8pL49RVz+N1VczHpB1fSpjlzAfCcOIHi8ZBqTuUPa/7AXSvvItmQTHVfNTduupEvbv0iNX01LFmyBEmSqK2tpbV1eAWUO+Dmezu+x/3HROPL7y75blR102SRazUjSzDgDdA5IBYiU5dmIGslOk876NAJzc/QQCQjxIh4FJXuUfyPEhJFOiyodr7jEt5jx0Saa8aM6JL1iUKSJM4991zOO++8SDXN7373O1544QX27t3Lli1b+OMf/xgxSrvgggtialEi+pBCKxXbxdgla3OZuiSDy74+n4SUwXvhRzUt+FSVZVo9Z3QGCdpHX0BqdRqWbJjCpV+bT5zVgL3TzZO/2s+p3YO/fbg8XEKFgDiPD5oRUX0+7M8+C0Dy/8dsCLzPgUhXVxfBYDAq0k1PT6etLTqn7vV66e/vH/b3QcKk9VJmFSuCp04KejTY6xmVWgw3zdL6Euhufgde/dZCJCDdJ65Pe8dLY28fQjgQqeiuiDAis+JG1xEkXnYZ2rQ0OnRidVw4Z6JpmWh9SCyE9SHxcTPQai14KsWDayxNJne6eBA9TU50CUeoj6vHG+fF7/PzyiuvMBAyMIpbtWpCpxQWde5o2THsd5m2YmWEFdn3wjMsSDCTY9ThDCps6R7/Pjq59RjVL+Wg+DUE5CqOHvsCihI7Hz8S60JlvK8eb0NRxDkpihLJC6ekpMDUUPXVyZdAVQkoAfa17+N0uggkTx8/gs/zzptjxZ99FnJcHP7mZhrf2gZA+pTiqO1UVeXUqTtxueowGDKYNvVHDLgGeM0sxKGXhRmUBx4QrN0IhF+xer3UHxOBVp1eBHoXzcmiLHN075F3gySznq+eU8r2b67h1E/WceJH63jmcyu4fEFOVOCjy85Ck5ICgQCeCtHPR5Ik1hWu49lLnmVjyUZkSWZb4zYue/4yflT+I1ILhd9EeIE04BvgmapnuOTZS3i+5nk0kobvL/1+RNf0bmDQasgOBVT1XeL5NcXpKQq1WqhoClnFD2l+Z5Bl0kLprtGa31kzy0QJr6Tg8Uy+y3RHRwednZ3Issy0adPG32EMSJLEsmXL+OQnP0l6ejp+v58DBw7w8ssvs337dhwOBwkJCVx99dUxGyrCYCAyV6OjrUYYA5YsWcDZN5ahGdJx+sWOPl7stKOR4PupKUgwZiASRmZRIld9dzEFs1NQAiqv/+ME+1+uj4wrF065kGSNBo2kAjIGw+RZsHcTiDje2EawpwdtaipxK99d8PtRx0eqaubnP/85iYmJkb/c3MlHoO8GXV1bQfXhUbMod2SioKL6FJSB2HnZcCCi88fT3eyc/AdahZAwPcTod3e/QSAw/nGy4rLIjsvGL1lo8wWQgBljBCKywUDizbfSkywGl/zpE6xmmLA+RAQiSUmLUIMKnqo+AIxTrZGW8GZ7EKPlOEgw48wZkcZrp0Jt5CcaiCxIX4Be1tPmbKOuf7BpoCxrOOMa4Z2y//mncHR1cnHY8n0Uc7PI+be3sffZJ3B3mkizfANZNtDd/QbHK76Gqo5fdre82Ea8QUt7v5fyJvHd7XY7gUAAjUYjOnEWnQVaI/Q1QPsxTvWewul3oiQbSUzPIOj30xAS470TyCYTCaGqhZZQdUFGUUnUdvX1d9Pa9hQgM73sLnS6JJ6vOYZHY6DY08yszMLwhsOqNkZCr9FEhM9vOQbQyhJfXfvuBKoTgSRJGLSaYQxIrG3C6Rn34eF+HFajlTuX38kzFz/D2XlnR6qwHvEIQWD5kXLO/8/5rHh0BT/Y+QNanC1kWjL5y9q/vCdBSBhTLVDWXU/Piy/S9+yzOF5/neIsEYhWnpTwKaF7xd0X2Sc7Ymo2Shfe7IIhze/qJ31OFRXiWSwuLsZkGlsgPVHk5OTwmc98huuuu45ly5YxdepU5s+fz0UXXcSXvvQlpo7iiREIKhxs6CU5KOF5owJUD7JGz7m3rEEaYo7X6fPz7UoxDn8hL53ZaSIQDthjp7BGwmjRcf5nZkXKqPc8X8u2f59ECSrYTDbOyhKLMK9kQZYnr3sKi1XtdvuYfY1ioe+pJwFIvPTSMUX8/z/gfQ1EUlJS0Gg0UV0a29vbY4o7b7/9dux2e+SvcYQR1/uNjk7R7rsk72JKsxLpQNzI/u7olWogEIjQuDr/O2REksWgH9fZismYh6L46Ol9e0K7rshaQUAvVq9FZgNx2rGFc45ZZ6Fo9Bg93Wj3vT6x84swImMHIr1DAhFfowPVG0Q2a9Flx5GYZiLOakAD5Pri0UpaNszdEMkh7y0pJhAfj3mUVdFImLSmCCO0q2V4eq9k8XJyp88i4Pex7aH7uCQtCYDXu/txjlLHr6oqWx+8l4DfR97MOcxecQuzZ92DJOno6HiZEye/O26DPINWw1llYjUbrp6JVMzYbKJzrd4CRWeLHU6+xP42Ie6dlzEv0tW15sAe3g2SNl6GCnQ7hMAvvWgwMFBVlfr6e6mtE6WnU0vvwGoVaa6Hu0Ra8epA7WC5ckFBTEYkDHd+GZ4BP34NNGoVrlyUG+mj8lFAJBAZpXJjSuIUfr/m9zx10VN8ouwTWGwWOowdyMgktieiqAqFiYV8ef6XefbiZyMpwXcD1e+n76mnqb/uOr765y/w2+1/Jv/un9P67dtp+sIX8Xz1ekyudvxehV0HL6RpRzKdv/4p9hdewLlzJxk+8Ts1NLfiPn4c55692F94ke777qPtpz/Dd+/fIl4i9b/+FvWfuI62H/0I586dqBPwsaiuFvYF75YNGQlJkiguLua8887jmmuu4aKLLmL+/Plox5hcK1r78XqDXOo2EAhpXvJmzUarH6zi8SkKtxyrp8sfYKrFyG0F6RGbdwIKimti6SlJlli+sZiVV5ciSVCxo5VX7ztOMKBwZrpgClu9PvwTdMAeCovFEvGXmkzljL+1Fed2MRckbbxs0p/734b3NRDR6/UsWLCALUO6gyqKwpYtWyIT0VAYDAYSEhKG/X1QCAQG6O7eBkBmxgX8/qq5tCImoD0Ho50KW1tbCQaDmExm5KARR7cHbwz19ZiwikBE6mskxSbcC7s6Y3dSHYnl2cvx68X+M8dgQ8JoOCEmp5Suo3Td8xcU3zhpB58LukLljmMIVX2+HlwuMYAlJS0UlR+AoSQZSZaQJIn4AiF6y+mbyorsFSQaElm1ahUJsozbbObkWWsmVZa2KEMELSOb/4XtuyVJpmrPTjTle8k36vEoKm90O2IdiiOvv0Ldof3IGi1nf+qzEAwT5QAAvilJREFUotLItoqZM34PyLS2PkFl1U/GXV2tG1LGq6rqoD4kZUgabJpgLDjxYsSQbmH6QooWipLFmoP7UEZxA50IjLNmoZQW4dVqkCSJtAJxfwQCTk6e/A41tXcBUFDweXJyrhOnMuDmAElolQBXDsm588lPxmREVABJ4uQMoUk5qQmg1cmRipWPCswLRbDqOnBgzN+uNLmUby/+Nps2buKmC24CYIZ7Bq9e/CrPXfyc6IMUo//PZDHw9g5q1q2n9bvfxb3/ALKq0mFKoilvKpYVKzDOmY0uM5PsdhFcNySswNFoouvhF2n5xjc5/clPYXlJNNirePwp6jdezukbb6TlG9+g49e/ofehh/BvfQN/n5ioncY+3AcO0PufRzj9yU9Ru+EinHtGt01wu92RnllFReN3EX6/sa++lzPdOmwBCQnBeOTPHByHgqrK1041ssfuJF4jc//MAgyyjKSVkePENZhIemYoZq3OYd3/zULWStQe6uSVvx4l1yB++3ZfINKKYTIQ44lIz0wmEOl7+mlQVcyLF6PPjy04//8J73tq5rbbbuPvf/87//znPzlx4gSf/exncTqd3Hzzze/3R08KXV1bURQfJlMBcXHTKEmPJzlbTKB7DrbS6Rh+U4fTMrm5OcSHuvX2TJYVic8CjQGUAClGIdbq6n5jQumAJRlLCBrE4D/FMHakrioq9aGy3fTgaQItrfQ9+tiY+9BRAaoCljSIHz03areLlb3FUoJOlxwp2zWWDqZ/3Fax8smxT+P8QuF5odfrWVxfD0CFyRTV72MshL1UDnUcippkUvMLI8LVLff/hbPN4rNf7rJHHae9roY3/vl3AM645gasWYOq9LS0dUwv+wUATU3/pL4h2gp+KFZNTcWglTnd4+JEqyN2IFK6DiQZpf0oB0OMyIL0BWRPnY7REofH0T+sh89kIUkSvlCAn6BIaPUGOjpeZe++C2lpFWXJJSXfo2jKbZF9HmkRuetzu3eSljfENrukBO6/H2QZNML0Sw0xJO4vfomKNjFAV+qC3Lgsn4zEsd03P2gYZ85EMhgI9vTgqx27iV4YC2csJCUlhYAvQH1F/XsiulWDQdp/8Usab7kFf3MzmpQUUm+7jc6/P8aN532Pu9Z/lbz776PwsccoeWMrZz72S2QZHAkF6BYkkrgwA/PixRhKSsjwC0akMy0DbXo6+sJCzEuWkHDRBmy33krG976HDsHMSYvyybrrVyRddRVyQgK+2lpO33gjnXffHTMwq62tRVVVUlNTSUycZAXg+4DjhztY4NOgqgpqUARIuTNEIOJXVL584jRPtPUiA/fOKKB4iIdSuOfMZAMRgClzU7ngc7PR6mQajnZTUy7Euz1BmWernn1H3yUciITHhPGgKgr2p0Qz1KQrLn9Hn/nfhvc9ELnqqqv49a9/zQ9+8APmzp1LeXk5mzZtihKwftgIp2XS09ZHBqCZM8RDbQ2o3Pn88Hbh4UAkJycHa5bohNjdMkmdiCxDcgEASX4LWm0Cfn8Pdvv4WgGLzoJiDOVX3SfG3La9vh+3w4/eqKH4BhEIdN17L8GBMc63tVz8mzlnTIp+aFomOODDHwrGhgYiR+RaFBSs7gwWxomJMtDTg23XbvIaGlARngMTtUGelToLnayj091Jk6Mp6v2ll11F1tTp+NwuNE/9A4DNXXa8Q8zNOk/X89RPv0/Q72fK/EUsDDm0DkVm5kZKS+8AoLb2t3R0bIraJgyzXsuqUiF43HS8bVhqJgKLDfJXUK3TYfc7MGlNlNnKkDUaCkNW8jX73116xpFmRZ/gI336aXZtX8XRY5/D7T6NwZDBvLkPkZc7uABwBoI82irO8xOdmwfLRsO46SY4dQq+8Q2UDRvoTk6mpqiYvk99A2efFy8qXRaZz66OFsV+2JD1ekxz5wLgGqXDbtQ+sszy5SIFs2fPnndlyw2g+Hw0f+Wr9PzjHwAkX3cdxa+9Ssqnb6Vgurhm9d2uiMAZwJxkYkpItNqWvpSs5V7y//VPprzwPHO//jUA+s9cScmb2yh65WXy//kPsn/1K9K+dhvW6z5BfIqodvHrekjcsIHMH95J8eubIx4UXX/6Mx2/uivqXGtqhAnaR4EN8fuC2E4MICGRWOgm4PNgtMSRWlBIs8fHpYeqeLK9F60kgpCRzRnfTSACkDfdxoVfnIPWoMHnFwukPp+O7c3bI+0lJoPwYmSigYhz1y78LS3ICQnEn3POpD/vvxEfiFj1C1/4Ag0NDXi9Xvbs2RPlnvdhIxh0090taLfUtHWR1/UhqjoHDS8dbR3mnjk0EEnJEbnx7qZ3UjkjBKty72lsttUAdHWNn56pdXvxSyZQfZzuHLvsN2xiljfThu3yS9Hn5xPs6aHnn/8YfaeIUHViFTNJiYsiIlVdlgVN/GCq5aDjDTriRJ63q0robQbeegtUlSUDToxGI21tbZGW4+PBoDFEzNDCVvdDIWs0bPjqt0VPilNHiXMP4AgqbO/uJ+DzceT1TTx257dwO/pJn1LM+s9/bVQr99ycG8jJEVb5xyu+Tr/j2KjnFameOdYWmxEBmHYBB4xioJyTOgedLGjkogWh9Mw7DER8vm4am/6Fx/Yg06+pwbzSgTvQjEZjpqDgCyxdsimiCQnjsbYe+hUocp1mjQXQxHDRLC6Gn/+c3osupjM1Dd2yZdRWikqPGl2QT64sxGr5aLo9hnVHrn37J7zPrFmzsFgs2O32iHjznUANBGj52tdxbN6MpNOR/bvfkvG970Y6S2clGdFpJHwBhRb7cA1a6RJxH1V5zkDpqASfWDBE3FVHMTUDSLQJl2hF7o109dYkJJD5wztJ/853AOh58EH6nnpq8FxVNaIPKS7+8IPKLS/WkBSQcEkqBYUhw8gZs/l7czcr955kf7+LBK3MgzMLuSikAxsKTaK4TkH7xKreYiG7NJmLvjQXfZx4jufWX4vs1/JCzQuTPlZqqligTDQQ6XsyJFLdsAF5nD4//7/gI1U182Ghp2cHiuLBaMgiPm6wfj5srV2sE/T+9587ht3lp7+/H7vdjiRJZGdnY8sOMSLvsIRXnEQdqSlCzNg5gUBkn10MTlpvHQfado8ppKof4qYq6XSkfuXL4iMfeJDAaHnLCQhVA4GBSI+WpKRFeE8Nlu2GEVSCtAf30JQkUg6NFWKbcNlu6orlnBOK+t94440Jd6qcny7SCIc6YrNHcclWrvj+z7BlZVNcI4KHu556mj/ddCWb//5nvE4nmSVTufy7P8EYFzfmZ5UUfwer9UwUxc2RI/+H1xvbFfjsaeloZYm69l6cTvH7xApEjoQCkXlJgxUDBXPmI2u09LY209MSzfLEgqqq9Pbu5sjRz/L2jmVUVv4QbUI3qgKakxqsj8ezfOE2iqZ8Fa12uDmVoqrc1yTui081P4WcN/bioH+TYIPi1q3j6B4RkLfESXzqjPG9Xz4smEPOoK59+ybcgVWn07E41Ltnx44dE95vJNp+8pNIEJL7t7+SsH5480ytRibPKoKScAlvGHnTrRgsWlyKlWbvtMizmBPqwNvu8+NXYp9XSuYMFL+EJKl4PMPvI+sN10ee/bYf/RjPSfFM9vb20t/fj0ajIf9D1iO4HT5q3hCpmI4CI63VFVSUzOHH887ljuoWnEGFBQlmNi+cyjkpsVNI75YRCSO90ILO0geArq2EC058lhdOTr67cHgM6OzsHHffQG8vjtfF+J90+cbJn/R/KT4ORIDOLtFwKSX1nGF5Ya1VRKNGv8oMm4VOh5cfv1QRYUPS0tIwGAzDApFJD1whRoSeOmy2VUiSDperBperbszdDvSLwSsu2MiAf4CjnUdjbmfvdNHT4kSSJfJmiDRB/HnnYZhehuJ00nXvvdE7Bf1CIwJjClVFCknBaMzBoM/AUxWtD9nVvA9VY+d0vPg+jSd6CLjcON8UDFT8mjXMnz+f/Px8/H4/L7744oSuYbhyZqRgdSjibSlc98s/cHGWoLor86YSUIKYE5NYc+OtXP3DX40bhADIspaZM/6I2VyE19vG0WOfj+kxkmjWsazIRqIkcvnx8fHRHZmT8jhiFkHBbPdgasxgNpMXEuONx4qoqkpb2/Ps3XchBw99gs7O11DVIEZdCU070ql+Zi7ZT+Vh3ObF9UpstmxTl51at5eEoJOr2l6FvNHt9X1NzXiOHAFZxjVjBYrDjx+V888tJN44ue66HyRMc+cg6XQEOjrwN0zcbXTRokVotVra2tqoD+mYJoPeJ54QGixJIuu3vxm1o/TQLrxDodHKFM8P3bOeVdAsWD+bToteklARVRyxYMse0nPGGT2G2D79aSyrVqJ6vbTecQeqotAQujZZWVmT6i3zfuDAqw3gV2nXKMiLkvlp6XJeOvsK2iQtaXotv5maywvzS8g3jW7I+F4FIl5vOxBAQoss2cgYKGTGnvM42Hx43H2Hwmq1IssyPp9vXG8s+3PPgd+PccYMjGVl7+Ls/7vwPx+IqGpQ+IcAqSnDbb1lkxY5JHb82dmitOvJA03sOloFiLQMQFK6WXR59ARx9EzSYTVUwktvHVptPMlJYmU6HisSZkTmhBTiO1p2xNyu/ogQI2aVJGK0iG0lWSbtNpFv7n3kUXwjB9vOkxD0gSExomGJhb4+ocJPSlqEv2UAxRlAMmjQ5w3mbJ84KajMLk0SepMWrytA40s7UVwutJmZGGfPRpIkNmzYgEajoaamhqNHYwdVQzEnVTA19f31kb4zsaDTG7j10ktJ1mpwmyzM/fndfOavDzH//Isn1EsmchxdAnNm/xWtNh67/SCVVT+Jud36mZkkyuIeiGJDgD5PH6dloVWZ1Xhk2Hvh9EzV3p1R+4UxMFDJgQNXcLziqwwMnESWTWRnX8uSJZvQ9dxC1zErmYXzsF57LQA9D/07KrBTVJVf1wlW4+amp7GoPsgdnRFxvCrYEPPChby8Q9xPrSa4/iPMhgDIRmNEJ+KchJOz2Wxm3jwhiN65c/TfIhY8J07Q/qMfA5D65S+RMEaOf2gX3pEoXSw0dLWepQQaRLAtSxJZocCv2RubAU1IS8PnEBNxb0d0GlGSZTJ/9GNksxnP4SPYn3ue06dFL5UPmw1x2r0ce7MZp0HiP2fE8U/JR3tKJgafl9sLM9i1tIxPZNmE8+8Y0L4HqRkgwigZTdlc8pWFKHo/GY4pbP9r3Zjde6POR6uN+Il0dnaOup2qqthDKbP/FZFqGP/zgUif/SB+fw9abWKkYdtQaEKsSKlez43LCgA4clIIu8KBiEYrkxxq0z5pY7MhqRlUlZRUkZ4ZSyfS5w9wyikmu/UZYv+Rnhph1B0RN37h7NRhr8edsQLLyjPB76f9rl8P32moo+oYD32ffbDRXbhaxlCUhBRyPfQH/exqFyvyHMMyckJ273Vvi0Au4dxzIwxUSkoKq0KmZps2bYqkNkZDoiGRvHhhQnS86/iY22plifNCNO6bAfkdV0OYzYXMmP47QKK5+WFaWp6M2uac6ekkSiLnb4pPinr/SJcIPgp8fhJr3xxmWFW8eBlIEq1Vp+jvGj5gqarK6dMPsHffxdj7D6HRmJlS+BXOWLGDaVN/TJylhKYTYuLJKZtJ0uUbkUwmvKdO4RpRtvlSp50Kp4d4Kchnmh4T6TdD7L4iqqpif+55ALRnnUN3hfidpy3KwKh7Z03fPkhYVghdjHPn5FpKhBu3VVVVTbhBp+L10vLNb6L6/cStXo3t058ec/uCURgRgMyiJOLiwadaaKganFDDpmYto5iaybIGKSgCYHtv7AosXXoaKZ/7LAAdv/kNp0OMSF5e3pjn+37j4KsNnI6XuOe8BAYyjGhVlQVHdvDzyh18uSADywQXDkMZkXeaWgMiXXdNxhxS8+KZdVMiXo0LXWciz/3x0KSCkYnoRDzHjuOtqkYyGCLmhP8r+J8PRLo6Q2kZ2xpkOZqW1IYEq4FuN984byq5SQbiFTFw5AxpQqTNNbN1lomvd7Rzy7E6nmjrGbfHCQCJuaLtd8BNf2cjKTYRiPT17cfvj62X2NE3gAqUmA2sD61kj3Udo8czXO/hcfppqRJsQcFs28jDkP6tb4FGw8CWLTh3D0kHTMBRVVG89PeXA5CctDjiH2KcOiQt07oLd9CBEohjXsoicsvEqqC1S1zn+PPOG3bM5cuXk5aWhsvl4rXXXhv1s8OYmSLaxB/tGp9BOT9VBCIvd9rf1eCUkrKGwkKRZz9V+X36+4ezGqnxBvIt4ndv80bfT0c6xfazJRMofjj1cuS9uGQr2VOFgVLVnkGGKxj0UnHi61RV/xRV9ZFiO4ulSzdTWPhFdDrxvRQlSPNJkU7LKZuJJjGRpEsvAaD773+PHMsTVPh5rTDi+7TnCMkBB+SPbtblOXoUb2Ulkl7PY0oxiUGJgARXX/zR8g0ZDZZQFYxzz54JmXqFYbPZKAtR4xPti9X5hz/irapGY7OR+bOfjiqADiPMiNR3RzMikixRskiIViu7p4NDmEJmj8OIABgMYlxyjpHetd5wA7rsbJwOB90hnZgcl8KftlTxm9dO8fzhFoKj6FDeD3gG/Lx4soOHVifgNmmI96t888gWztr5CmUlk7vXNAkiEFH9CupkvZ2GnpNbaFWMJnE9V85bzJ4FT+LVuOiodfDinw9POBgZqhMZDfbnngMgfu1aNO+g4eB/M/6nAxFVVSP6kNTU2BSqLhSI+DvdWAxabl+diVZS8Koa9raKweCR1m6+nhdgx3QTOzR+Xuy088UTp1m19yRHHaN31G21u/nZazU0q/+PvbMOj+M8u/5vZpkkrZiZJTPFdsCxw9hw27RJ2rRp2qaQtwxvmeErM6VvIW3SNMzs2EnsmG0ZZFnMDMsw8/3x7K4ka1dagZM40bmuXFK0s7Oz652Z85z73OcWJOHWn9zLBb84hl8qAhQGBl6K+rytgyKc6yy7jQxLBpXJlaioUwJ3WusGUBWV5GwLiWlTQ5kMJSWRYUo93//++IU6DqPq6OhBFMWHTpeCQc3B1ypqnxP9IY83iZbowOhSKjITInHvI9Z8yMrDtHzy/rVaLZdffjkA+/fvj7QUxsKSVNFueqg/didLGGfbbZg1Mp1eP4ccc5/pAlBU+FFSU7egKD4OHPwIPt/kORLJGlGb3tc39cYXJk1LM4T0T90Dkx4vP0NMID72qkhV9Hp72bP33XR3P4AkaSgv+1+WLv09xpPmXvQ1N+Fzu9CbzKSFgsyS338raDQ4t2/HfVB8Rr9s7aXR7SVDr+X2E2KQG4Wxpx4P3ytUH+25Wzh6QHzvkssTMb1JO2VOhrGmBjkhAWV0FM+hmb8nExFu5T1w4ABjY9ED8cJw19VF2nSzvvkNtMkzT08uThX+pNZBF/4oi5byDWLERbN3Nd4TwicSVkTaYygiADaraMENKD0xt5H0epLf/z7608QNUmtO5JJf7+DHT9fzi+ca+Pjde7n8F9s41j39+14oPPxSC/88w4JfJyH3e/iCNQlpn1gc5VTObgCfpJORLaKkHphHeWaiIgIgSzKbVq7jkepfE9T56GoYiZuMhBWRWERE9fsZfVTMGkt8x5VzPubTFW9rIuJ01uN2tyLLepKTz4q6TUQR6Rc3ryRFKAy9ipXP3XeQnx7r4M6jbXgkyBoM8I4GP58qzCDLoKPV4+OyPcd5+qQwraCi8seXGtn0wxf4/dZGTgRFPbhQ7qZt0M3TjeJC0hujLXfbkFBkzrYL1rw5bzMAz7U+N2m7cNtu4dLYQ+5SP3YHss2G98gRRu6/X0xZDU/dncaoOtEf4m0YARW06Wa0oXA3d8AdOR7/6DJK0q0kpJqw4ECVNHjOujbqijEvLy/StfDoo48SCMQ+yScqIjOpHEaNzDmhz+up/vkNU5QkmZrqH2MyFeL1dnGo7hORaafBYJCgR1y8d3b56XeMG+YUVYmYipdWXif+eOK5SeWZ8nUbRHmm/ii9HbvZtftaRkf3odUmsnzZX8jLuyVqaal5v/AR5FbXIstCwtbn5pB4mZB4+3/7W4443Py8Rdycvplnw9Z3EJBiGlWDDmfk4vjfrNWUecW/19kXFM72I3vDIGk0WEJxAc5Z+j3y8vLIy8sjGAyyc2fsVFI1GKT7K18FRSHhkouxbd4c1/4zEgyYdBqCikrb4NQFS0qOlWTrCAo6GneJm2I8LbzJ6aE8GN0IihLbsJl09dUMhFTdwa5RfAGFdUXJvHtdPjajlsNdo9z4x1dp6p/DHK1ZoMfl5X/VUfw6CVu/F92eAVaanfjcbvQmM6n5s/euhFWR+RhWPe6QR8Q4rnxfXnI5fdY2Hqz8BTqjHDcZmYmIOF7aRnBoCE1qakxz81sZb2si0tcvZq7Y7RvRaqPPyZhYmgEiDnN9UgajJpnvdYj68c1pdm59epSle8b4ZHY6z6+pYEtyAl5F5ba6ZnaFzKXN/U7e+ftX+NajR/AGFFYX2CkuFzfUb55t5SuXVVM/LC4k7T3PEwxO/oK3e3yccHuRgQ12saLanC8ufK90voI7II4zGFBoPSRW6kXTEBGt3U7qRz4CQO//+wnB5v3gd4LWBKmxJdFwfog9aQ2ecNtu5bgasrV9K66AC8VnR3HnU5JmJTgygr1LtNsOTaO2bNmyBavVyuDgIK+++mrM7SqTK9FKWgY8A3Q7p05zPhnnh4KPnhqIbW6NF1qtjaVLfoNGY2Zo6JVIfPrQ0BCqohBExqHqeebw+Kq0eaSZMf8YRo2RspLzIa1qankmOYXcqhqMdg+HjtyKx9OB0VhIQvW9bPVX89eOfh7vG57SNRHutClZtXbS31Nuuw1kma5XXuWW3UfxqSpbkhO4fDTUbZRRA6boQxCH77kHxeVCzc3nmV47ZlVCZ9WSVxl9+zcrLBvFxGbH1ugK43QIj6LYvXt3TFI8fM89eOrqkBMSyPjCF+LetyRJEZ9I88DUm70kSZRWCKXkxAmxws8xiNJMrAm8AKk5tQS9MpIUvXMmDNlkordQdO1VtJ3gsxdV8K/bzuA7Vy3hhU9vojorgX6Hj/f8cQcj7tnPWYkXH3+tkWGTTIojSGDfALmJJoKdQg3NrqiKEOvZQJM0fyISUUTM40Qo15bL6ozV9FpbUS9tRW/SxkVGUlNTkSQJt9sdVV0Ll2USL7vslA24czgcHD9+nJ07d7J161aeeuopHn74Ye677z5eemn258ZC4u1NRPqmL8vAOBFRxvwE3f4IEfnA5etRlyWDJJE44OMjmalYEvSoqmjjTdJpuWtJEZuTbbgVlZsONvKzbSe46Gdbea15CItew7evquXe29eTWyKkR+NoM+8/s4gvvuM6nH4TBnmMv7/02KTjeWlIfIlXJJhJCA26K7eXk2PNwRP0REyrnceH8XmCmGw6Mgqnn9mTfOO70ZeWEBwcpPenPxV/zKyFGBcAVQ0yPCJuZIkJq8dj3SvG5ehwWcY/ugyzXku6zcDo409gDxlLOzpj+2cMBgPnnSc6mF588cWYLW9GrZEyuyBL8fhEzgsRkf1jbnqmqbHHC6u1nKqqHwDQ2vpHenoeiZjRDNZEQOKJunGCFDaq1qTWoJW1UHOVeKDu/kn7LT+7lNIrWlHlMeqNl/JN3c+5+OAYtx9u4XP17bzvUDMrXj7Mea8d4w9tfXT099PVIOYCFa+cTEQMJSXIN9zAlz78aVoUiTyjnl9U5yO1htSBGP4Qxetl4C9/BuChqs0s9YmL45Izc5A1p9dlw7pJmKDd+/YRmOU49oqKChISEnC5XFEDzoLDw/T97OeA6JLRpqVN2WY6FKWKkmljX3TVoXitKLO1DeXic/rIDisi0xCR5Owc3EOhzpn+AzG38/kDhK2Ty1uPcmuhNqK2pVgN/N+ta8lPNtMx7OYbD8893G06PNw7zIuKF1lRuaRTQQ2qbCxNofOYSIvOnWVZJoz5tvAGgx68XnHumoyTp8BfWSpKJw877uHyjy9Db9TQ1TDCo786EJOM6HS6SMpyd/fkRVNwZATHc0I9XuiyjKIoHDx4kD//+c/86Ec/4h//+AePPfYYzz33HC+//DK7d+/m4MGDNDVNHxdxqnF6XVEWEB5PF2NjQppODQWJRYNs1EaGKHXVt+HxeNDpdDyIDr9Rg8YbxLOvn2t++zJSsrhI9LYIsqCTJf5QW0ixXsegP8j3evpxBxQ2lKTwxCfP5sZ1BeLEn9DCC7C+JAONScjldU1P0Ds63hL8dKisEC7LQGjYW54YmvdMi1B5JpZlJo7NjgZJryfzf78CwPDTO3EP6qYty4w5jhAMOtBorBhGc1EcfiSDBkOBuNGP+cZ4qV0w7MDoMopSLUiSxPD9/8U+XI8kqYz2uRnpi+2fWbp0KTk5Ofj9fp55Jva04JpQpPWRwelj7gHSDTpW2MSF/5mB+ZVnwshIv5iC/A8BcPjI5+kNBazlZoly2/aGfkZDMnrEqJoa+mxr3iF+nnge3ILMDQ69woj0M2Sjwj+d7+Hr3vezz+HHIEusS7RwYWoCtVYTEnDI4eZ/Gzo440Abj2y+FufqM7EkTVYrXh5ycOt5V3OwtBKL28UvBttI1mmhJUxENkZ9XyP//S/Bvn58KWncY6iiMCAuFdUbs+f9mb3e0GVmYqypAVXF8cKLs3quRqNh1SqRWfNalKj4vl/9muDwMIaysojfajYomkYRAUiuWUKSthMFHS2vHo4oIqMBhbFAdPOtzmBEcScBMBgj8A/gby8cREZBDgSxjY4xcv8Dkx5PtRr4yQ3LkCW4b0/7JHVvIeAKKnzxqFAdNh71cDzk3dpQkkLHUbFgCZu3Z4v5pquGW3c1Gis63eRz6oKCCzBpTbSMttBtaeKKT6xAb9TQeXyYR391AL83+r9LeKzJydPoR594EtXvx1BRgXEBJx/39/fzpz/9ifvuuy/Sop2amkplZSUrVqxg/fr1LF+/HGexE1/O/Fqd54u3LREJt8cmJq7AoI9duoBxVaT5hCAKtqIS7goNC/t5TQE1aTb6HT6e7hI3k+2vdfLA3g5+9XwDN/1+B+3PtkFAQU02sOmSEv5+6zrykieYRyMtvOPDuVaUipkwVfZD/OBJsdp1BoM8PyhuoJemTU4VvKDwAgCea3sOT8BD8/7xNNV4YFm3loTLLwcVunclok7nDxkSZYCkpFV4j4kyh7F0vG332dZn8Sk+knV5KN5MilItuA/V4dl/AK2skFkgSkptR2KnqMqyzMWhNMoDBw7Q1tYWdbtKuzhxjw0ei+t9XpC6cOWZMIqL/4dk+0YUxY3X9xN0OjeFOZmUpVvxB1WePyrKdxEikhb6bNMqIL1alGeOPkZf39Ps3/9+goqLv/s/yqNWoZjclJ3CrvXVPLiyjL8uKeaZNRUc2ljLd8tzqbEa8UsSR8qX8+vVF1G7vY537z/BBw41cdaOI1y9r4EGX4AMv5ef/+hrJH/zawTaGqAn1PIcRREJDg/T94tfAvDPwrOp9huQkMirspOYNvOk5zcjrJsFUR97/rkZtpyKlStXIssybW1tk1az3oYGhv75TwAyvviFOUnqhSnhFt7oRETS6ihOEyrsid2dWLUakkJK6HSqiE4WhHHMUR/1cbcvyCOviO+A2WhBAkbuv39KZ9GqgmQ+eJYo33zz0cN4Y5CfueCP7X30BYMkOYJcL5nY1zeGJMHSxCDO4SE0Wi2ZpeVz2vd8PSJud6gsY8qf4sky68ycXyBU9AcaHiCjKIHLP7E8QkYe+eX+qGQkM1MYzE9WRCJlmSuumNOxRkNDQwN/+MMf6OjoQK/Xs2nTJu68807uuOMO3vnOd3LllVdy4YUX4inw8IT6BDuC85txNV+8bYlIpCyTOvNQoTARaekQX84d2cX4VJUNSVauzk3hvg9v4MObSujXC8NkT/Mon/z3Pn745DF2twyh9yhscIuP+rmgl6Ouk0LPwoqIZwScguCkpp4DSOQndPBs3SFaBpw8NzCGW1EpMOqpsU6+ISxLW0amJROn38mze7czNuhBo5PJrZrZvR9Gxmc+jaxT8QzqGX4tdpvZ4JBYTdvtG8bLMpVTyzJp0hmARHGqhaG7xQU74YILyF8qVgatddPL5Lm5uSwPBVI9/vjjUQ2pFckiJj1eIhL2iWwdHIuvvToOyLKW2tqfYTTmIssDLFn6DMnJ+sjsmUcOdOHyuzg+LPJTIkQEIuWZzsY/RBJbX7LcyZN6ceO8+KWH+GqGlTT95FbgFL2W9+Wk8kBxKu+9/7csPbILswQD/gDPDY7xSN8Ix11etBLcnJ3C0xuXUpVgITg8TNcXPyc+y5QysKZPeT89P/yhmEWUnssD2WtYGRCvXX1mzoJ8Xm8EwgZS5/aXUTyzCx202WyRVt6wKqKqKj3f/R4Eg1jP2zJng2FxWkgRiRJqFkZJhSAeLS1aAr4g2SFVZDrDqsUsZsb4AtEJ/EP7OzD6BBmvXbUMOTGRQG8v7j1Tk4o/vqWMNJuBlgEXf3sl/oTa6TDkD/DLkHH6nENu3NnC5L4sNwlXqzhPMorL0Orn1p0V8YgMz5WICAXBZMqL+vg7St8BwJPNT+IOuMksSuTyjy9HF1FGppKRMBGZqIj4WlvFZy7LJFx22ZyO9WQ0NjZy99134/V6ycvL44477mDTpk1Rpyrv7hHdWOGk6jcKb0si4vePMjQsTJDT+UPC0KaaUFFpH+5i1GjmBVWcHF8ozkKSJEx6DZ+7qJJf3yHKKamKzJlFyVy6NIsvX1rFy5/fzH2XL+Pi1ET8qhhhPWlWhN4MCSFn9oA4CfX6FBISlgOwJOUwf3ulhUf7hgGRiXEyS5clmQsLRC7H3p1iH3mVdnT6+I1eWr2HtCWhrqA//Atfe8eUbRTFHzGqJhrX4GsTZahw226Ps4dXu8Rnq4wJQ2qJKcjoI6L7wn7ju8mvEaSl49gQwRnIwJYtW9DpdHR2dnL06NSApnJ7ORISve5eBtwz1/9rrCZyDDrcisq2oYVrTdTp7Cxfdhc+nxmLZZiR0S9xSZV4by8c62VHx34UVSHTkkm6efzmr9RcyfFiC0fsbahqEEfKB/ijW7TTXnZ8N7V1O9n7xCMxX/fQC0+T2dPO+7rrOXL2Uh5aUcqPK/L4ZmkOf11SxP4NtXy/Io90i4ns73wbSafD8dphevcnQOHUsszIww9HRpB/u+JKKoIGDEGwJRspXh6fuvZmhKGyEm12FqrbjePFrTM/4SSsCQ3QO3DgAB6PB8cLL+Dcvh1JpyPjs5+d83GFFZGOYTcef3S1Ia2mHKvcRyCopfXw4ITOmdiKSFKotV3VDE4ZR6CqKn99uYVUWagwefn52M4VxHf0qaen7Mti0PKZCwTh//mzxxlxzd9f9af2fkaDCunDAdaPybw0Is7FzZXpkTycnKq5+UMAtCEiEhieW6hZxKgag4isylhFjjUHh98R6Q7MLE7kihAZ6agf5tFfTyYj4dJMf38/fr/4DMNhgZYNG9BlTF0UzBbd3d3861//IhgMUlVVxc0330xCQnSPoKqqi0TkjcTAwAuoagCzuRSzeeaYal2qiRHJhTvo5XBuCUHgHLuNNYmTO22K8xMx2XRIwI8uqOZX717JB84qJj3BiCRJfL88F7tWw8EJbZQRpIamXvYfH/9TijDZLU2r49972iL+kMvSkqIe58VFopQRbBJln6LlszPO0bUfe6kLU7YWxeWi64tfRFUmE4XRsQMEg0602iR07Rmggi7LEjGHPdr0KIqqsDJ9JR394vMp3vYEqteLobIS04oVpObZMFp0+DxBepum92rYbLZIyuXzzz+PctLxmHVm8hNEIuSxoZlVEUmSIqbVpxfIJzKOdA7sPw+Px4zP10pv03u4uuow/qDCfXXCRBzOPgEYG6tjV9NnaM0V6laOvJ6fea8ioIrS22eXilX4/qcexeeeumJWgkEOPPskAMvOvxiDLLM2ycqN2Sl8MC+NC1MTSdGPlwuM1dVkfefbAAwetdL97DCqT9ykVFVl5JFH6fyCmND6ZO0WDicXsVkSx7Z0c+5pZ1KdCEmSSAylVY4+MvsJqgUFBaSlpeH3+9m/Zw+93/s+AMm33Ix+HomkyRY9CUbxbxTLJyLlraHYKMh94+7OcSIyjeE6NXuJ6JyRVVyu5kmP7WoZ4ljXMPZQAnBOTg62C0Vpd+zpp6ec8wDXrMqlIsPGqCfAn7fPz9joCSrc1SFKxxsPeyhdk872E2IRIYjI/PwhEDKrSkBAQXHMnjhFSjPG6P+2siRzRYkopTx04qHI3yeRkWPDPPG7gwQD4vO02WyYzWZUVaW3t1eccw+J5yZeOX+Tqtfr5d5778Xn81FYWMg111yDdppyYftYO33uPrSydtJ16Y3A6XtlmQeS7GspK/syBfm3xrW9Ns1EtzyMX9ZwNKsQgA/mTb3JS5JEWr4wkfa1TF1tpxt0fLdcKB8/aenm0MSws5RQq+xAw/ifUsUqpSalntFkDU5FodCkZ0XC1HAygOqUaip0NaQ6cgGVwiWzXMF2HUCSIfs9q5FMJlw7dzL0j39O2mRoUNxQ7fYz8NQPA+PdMqqq8lCDOLEuLLiUnlEvJr8H3QP3iPfzwQ8gSRKyLJFbJRSU1iMxpv9OwIYNGzAYDPT29nIoSihVhX125ZkLQnHvzwyMzitl9WT09/fjdifS1HgDNtsSAoFhLs37LV9c+xNUx9Nk6xSWJabS3f0Q+w98iJ2vXcHYWB1ajCypG+XZnhIOOz0k6zR8rzyX0rXrsGfl4HE62H7PP6a83tHtL+IY6MdoS6B8XXTT6clI3Lye9GWCgA09sZOG8y+g83Ofo+Vd76bz05+GQID6JRv4WcmFrDOa0DmD6Iwaqk5Dk+rJSLhMhOU5XniR4PDwrJ4rSVJEFdn5/PN4W1rQpKWS8qHb53VMkiRRlCY8U82x8jqS8ihJEe2szQcGyA5NA59OEUnJycMzLBYHo8OTjdx372wlSXIjSyomk4nExEQsGzciWywEurvFgMOToJElPr5FXKP+vL1pXu289/cO0e8PkOBSqGr34coy4vIFyUgwUGRRGOoSSmx2xdyHvklaGY0tZFidQ3lmptIMiEwRELEJE+MDMosTufyOZWj1Mq2HB3nmrsMoiookSZMMq+69e/G3tSGbzdjOi90wES8ef/xxBgYGsNlsXH/99dOSEIBdPWJEx5LUJRi1xnm//nzwtiQiRkMm+XnvIzv7+ri216aY6JKHqc/IwyNrKDLp2ZwcPYI3PdQ50tMcfbV9ZXoSl6YlElDhE0db8YVXH6lTiYjNWoNen45O40UqEheV9+Wkxhz6JEkS56nCczCW0os5YZb11VCiqr52A+mf+TQgZlFMHIoX8YcknTEe6x7KlTg8cJgTIycwaAyUWsSN8fqOHagjI+iLiki46KLIfsIpq22HZyYiJpOJjaEsiOeff57gSYa6ymRhWD06GH22xsnYmGTFJC9MyupEhFt3k5IKWb3qHoqKPokk6ShJaubqtHo+m+khd+hP1B2+k/7+ZwCJjIzLOWPl/WjHbPwsWbQsf7UkhzS9DlnWsPkWMa9k7+MP031iXC1zj43ywv/9EYDVl74j/lp64wukVDnIvdyKxm4n0NPDyIMP4d63D0mno/fKd/E/RVciyxouRqghSzblYjCdmmyD1xPGinIMFRUixfLJmUcInIwlS5ag0WgY8PsZsttJ/+SdaKzR84dmg6KUUAvvNMFhmZVZmORhvF4wDgoCMp1Z1ZyQiN8hCE5/77jvw+MP8uShbuyyWARlZmaKxYFej3XTJgBGn55angG4uDaT8gwrY54Af5mjKqKqKn9sF/6zNcc9ZBUk8HynuAZsrsygs16QptS8AkzW+cWca0LhioGh2XmCVFWdYFaNTUTybHmsyliFisojjZPLp1mlSVz8oSXIGomGXb1s/Vc9qqpGfCKdnZ2RsoztgguQTfMzgZ84cYJ9+/YBcM0112A2R1+sTsSe0PdiZfrKeb32QuBtSURmDY1Et3aYw9mijPP+nLSYZCCjKEREYpQcJEnie+W5JOs01Dk8/DRcokmZWpqRJInUlE0cpRqP2QZBhS2W6S98Kd2FAByyvkLbWHSjWkyEo90zl2J/5zuxbFiP6vHQ8alPo3i9BINuRkZEO6DVsQTVHUC26CLTdh88Idzfm/M30zMskeh1cOUR0Z2U8qHbkCYMrQrPneltHsXjnHl1tW7dOsxmM0NDQ5ETLoywYbV+KHqHwMkwamTOSRYX6fmmrE5EmIikpKQgy3qKiz7Gxg0vsWfoHTR4ZJxB0Ors2Kw1FOTfxhnrnqC25qcYksr52dIvMKq1UaMOc23meLtg4fJVVG48B1VVePCH36SvtRmvy8kTv/4J7rFRUvMKWH35VfEfZKNI67WddwGlLzxP7i9/QerH7iDzG19H+/d7+bBhLUFZw//U5OLscaMzaFh+XuyL8emGxCvEKnb43ntnrYaZTCYKXIK4tq9ZQ2Jols98UZQ6gyICyAVnUGQQ6a5qk0hWns6sCqBVswAYGxkfCvnskV6cviD5RkFiwit0GO8scr60LfoxyBKf2CK6WP60bW6qyAGHmzqHB62isqLRS8mqNJ6sE9fAS5dk0XVcqJpZ5fNvY9XYQ4bVodkpIj5fP4riBmSMxukN2leWiJLKgw0PTvk+5dekcN77qkGCuq0d7Hy4KTKfrKO9nbEnRVk1/J2cAiUIIx3QuVdcm4fbRPL1SfD7/TwaSkBeu3YthYWFcb3PsD9kZcYiETktMDQ0RIvFwIA1ET1w3YQbxckIE5HhHlfMG2yafrxE89PmHmGaDBORwUbxBQwhOWUT9/IuADSdbrYfjd3N4nH66T8hVjrN9kM80PBAvG9RDNVydAMSZNaKceHf/jaapCQ8dXX0fOvbjIzsQVV9GAyZqPWCEBmrkpFkCX/QH+mWuaLkCpr6ndxy+DFMXheGqioSL598slntRuxZFlQV2o/GbuMNw2AwcNZZIoZ/69atk1SRcGmmaaQJTyC+1c8FKaI8s5BtvGEiEh5wBWAwpGHMvIhf9hn5clsmZ5/5GmvXPkRp6eewWMS/eZ/Pz12W1QB8ueHXaNTJF5tzb7mNlNx8HEOD/O1zH+d3t99M457XkDUazr/tY2i0U4frRYWqiswSgJJzkQ0GbOedR9pHP4r2iqv4yHPduHxBNhQnYw99j5acm4vJenrMlYkHiVddhaTX4zl0CPfe2Bkb0TD2wgvkhgbgNWdmEIxyU5gLCkOhZtNGqRdspNAgTOLuumEAurx+lGnIlMkkVFZvoDnytwf3ibJHoVlcmyYSEcuGDSDLeOvr8Z/UYhrGRFXkru3NUbeZDv/uEupHRbsPk09lOFnHoNNHskXPGcXJdDeIxURWacWs930ytHNURNweUZYxGrOQ5em/+xcUikyR5tFm9vftn/J42eoMznmXeC+7HmtmpFksYLt7evCOjaFJScG8dkIIoc8J++6Gv18L3yuAn1TD7zfB786Gn9bCd3PFY7v+Al5BSF999VUGBwexWq1sjnO8QLezm7axNjSSZlEROV3Q2NjI0QxhWtri1ZCkiy1Tm6z6SNZCb4zyDMCV6Xauz7SjAB+qa6HDkAFao8iUGB5vkdsaWMoxqRq96iWjq4lHD3TF3GfLoQEURUWXqjBi6uO/x/+LPxjnqqU7VBdOLQe9IBm6rCyyf/QjkCSG772Xjhd/C4Ddvh5vqKRiqhU33a3tWxn2DpNmSmN91no8u17johaxgsv83/+dpIaEkV8VLs/El3a5evVqLBYLIyMj1NWNr/LSzenYDXaCapATw9MPygtjoVNWIToRAUhMFDkifncWu1umkq7ft/XhRWKV4yibOp+EpsmhW+aERG74+vfJr12Kqij4vR4SMzK54WvfI3s2K8f+4zDaARoD5I/nhwSCCh+7ey/1PQ4yEgx8NC+ToS4XRouOFee/saPhFxra5GQSQivQwb/+X9zPU9xuer75LTJ6ejBLEm6fj4aGhpmfGAfCw++apmnhJbWM3KRONHjRdHuQAb+q0ueLHSueZBdt4qpmiEBgjFGPnxeO9QEqWp/wsIVLBSDGPZiWCNOiI0bktzzBK/KnbY2zUkW8isL9PeL7v6zJR3qBjadbxLl/YU0GsqTS3Sg+07nmh0zEXFt4x42qMyuBFp0lkikSVoRPRu3ZOay7UmSx7Hm4C5NBGFaHku0kXHSRyJ8JeOHlX8JPauGB26HhafCNgawFWzbYskDWifEbDU/DI5+E/1eN57kfsn27mNR9/vnnYzTG5/V4rVuQ2uqUaqx6a1zPOZVYJCJx4NiJRo5niC/l5b0zB/qEVZHuGTpCvl+eR63VxIA/wLUHGukKM9N+cTK2uL18o0mcqFdyHytt+3itZZC+segnVtN+oZbUri4g1ZRKv7ufZ1pjp5JOQtc+8TNrcpCZ9cyNpH9a+EXCRtUEdSXBER+SXoOxJAkYPwkvK74MdWCQc/4tYq/HNl+CeeWKqC+ZF2rjbT0yGJdMrtPpIgPxtm/fHnmOJEmR8ky8PpF0g47lC5iy6vf7GQ4ZIE8mIidGxSov6Mnmvj3tkx4bDQQjHQQf13YigVgRnQST1ca1X/42t/3mLt7z3Z9yy49+TXb5LM18x4UUTMF60TIewrcePcILx/ow6mR+c+0KjjwjLsTrrijCaIlTbTmNkHzTTYDoEPHGGW3d/+tf4+/oQJ+VydJQ0mo04/RcEFZE+h3eSArvFEgSuqJV5BkOIKuQrIiV9XSG1bScSnwOsWhyOOt54VgfvqBCVYoWn9eDLMuRYWxhWEKqY6zyDMAltVmUpVsZnaUq8szAKEOBIEl+KOrxU7AslScOiYXVJUuyGOxox+9xozMYScmdfzlwzorIhDCzeBAuzzzR9ERk1tfJWHVRAcu25CEhoYyIf++BlBQSLr0UOvfB786Bp74E7kFIKoBzvwwf2gpf7oVPHYFPHYUvdcHt22HLV0X2lHeEV7c+g8fjITXJypIl8Xe+7OwWi8TVmavjfs6pxCIRmQGKovDi0BhenZ4UT5DVje4Zb5oZRUL2j+UTCcOkkblrSRF5Rj1Nbh+XFX+BJ1I24utv4LURJ9fsa6DPF6BY5+YSHmJDTj2qCtsappZnAv4gLXVCpShdkcF15WK667+O/iu+N9oVUkSiDKNLfv/7SLjlevwFoff9jJCkjRV2JJ1Mt7ObF9vFKv6KtM20feSjJLhGaLZlYPtM7IyF7LIkZK2EY9DLcM80q8EJWLNmDTqdjp6eHhobx5NoZ2tYhfGU1acXoDzT39+PqqoYjUas1skrjCMDwoCneLJ5aF8nDu/4KvYfnQOMBRXKzUbOXyLatTn8QCTYbiIkScKWnEpGcencgp6OPSF+VlwS+dNfX27mrpebAfjJ9cvp29qF1xkgJcdC9Zmnf6dMNBjLy4UxU1Ho/f4PZtze+eqrDPzxTwBkfvnLLFkhiPWxY8fw+eYfjW0z6ki1itX7dD4Ris6hwCA6HRKc4hycroU3OScXz6DY79joYZ4ORbSflSvIZWpq6pTOCutZIsPG+fLLqP7o+z5ZFYlJnk7Cg73DAFSf8CCr0GWTGXL5yUgwsL44JTIvKaOkdE6D7k7GRI/IbPxAnjg6ZiZidebqSKbIU83RTdCSJLHxmlLK1mSg9QkTbk9+KSb1EPzpfOg7AuZUuOIX8LE9cM5nxLV44ueg0YkZYGf9D3xsD65Lf8MrCFJ87si9yPv+Hvd7DCsiazPXzrDl64NFIjIDOjs7OZooVg3n9wSQPQGUselPvHHD6giqMv0JkGvU898VpRSZ9HRoEril9jsUeNZz+Z7jtHv8lJgM/LM2HT1+8qzHMGo8bK3vn7Kf9qNDBLxBLEkG0vJtXFt+LVpJy57ePdT110V55ZMQNqpGISKSJKF7/0aQQdMDyjFxIdOFLmj3HLsHRVW4NFCNfMdX8Bw8yKjOzLfW3kxRbuwWYp1eQ3ZpEgCtcXTPAJjNZlaEbgQvTxjrPlvDKsAFofLMi4MOPPNMWQ2P905PT58UNudX/DQMC4Urx1yK0xeM1OmDqhpRQz6Ul4acuwqyV0DQB3v/Nq/jmQLXILQKRYty0b30n93tfPUh8d34zIUVlPs1NOzqRZIlNt9UdVrnhsyE9M9+FrRaHC+8ELMMAeDv6aXjM58BVSXx2muwbd5MdnY2drsdv9/PsWPxtYzPhOLU6aPexUbnUhgiIqYhQYDap1FEElLT8Q6J/fb37uGF0KiBYosgwhP9IWEYa2uRExNRHA48UYb8hXHJkixKZ6GKuIJKJAepqs1LSo6F+xsEMbp2VS5ajRzxh2SWzL8sA+OhZqoviOqOXcKacqwRIhKfIiJLMteUXQPAfcfvi7mdJEtsubmK1FBMfm+ineH7vyPO94pL4aM7YOVNoImjQ02WeXkkHS96MgxeqtSj8NDHYPvPZnxqp6OTDkcHGknDivToavXrjbfulWaBcLThBM2pwn1+oVuwU3/vNBcLIDXPilYv43UFGOyafluAPKOeZ9ZUcIehH0vAhSpJGGWJGzKT+e+KUgoSizGZ8pGlAFUpx3jpeB/KSQTnxJ7QRWaZGDedbk7noiJxw/nToT9NfwDuoXFfSmZ0eW9gUCgeibo1aBKyUZUAHZ94Fy233YbuJ3fx5buD3PSjg3iPH0dJTuGzZ30Y8gow6qZf2eSF23jjyBMJY/369UiSxIkTJyJzGyJZIkPHUNT4SEWN1US2QYdbUdg+7Ij79aOht1d8/idL3Y3DjfgVPzadjfeuFqW3v7/aiqqqPDcwSovHR5JWw1UZIQP0mg+In7v+PMm0PG80PANqUMy2sRfw6IEuPvsfQT5v2VDIjTXZPP93oSatvCA/0ob+VoWhuIjkG28EoPMLX8Tf2Tllm8DQEG0fuJVgXz+GslIyv/QlQBDz2tpaYOHKMyXpgjAc75nme5hSgtVuJk17gkSH+I63TUNEJFlGg1C1+gYPMeYNkGYzIHuEAjjRHxJ5jkaDebWQ6507d8bct2aSKtI0oyry/OAobkUhxQdZg0HSq+xsrRfk/bpVQnnobhAdg1kL4A8BkHSayMDSwCw6ZzyzLM2AiHzXSBr29u6d3qfmcbFi++9ABUXj578jX8C59n/hhr+DJf7cJ4fDwY4dYj7MuVfdjHzm/4gHnv4KvPbHaZ8bVkNqUmqw6Obffr4QWCQiM+DJzl58Wh0pksoqizCh+runLyNoNDKZxaI809UwHNfrWDQavpyfRMP2i9l38MMc2ljLz6ryyTDokCSJlBTRWrcy/Qj9Dh+Hu8bLPkG/QuM+sbIuXT0eE3xrrQhse6blGZpGpqmFdx8UP5MKwDS1I0hVVQYGXgAgJeVa8TdvJ3gcuLa+xKbX3CxtVpFUlYRLLuHYV39OS0JWZLLodAjniXQcGyLoj49A2O12qqtF6mJYFSlMLEQv63H6nXSMTY2mj4aJKatP9c+vPDNREZmI8FTgiuQKrl2Vi0Erc6RrlN0tQ/w5pIa8MysZc1h9qLkajEmCGDbE6e+JB8dERxPlF/Hc0R4+8a+9KCrcsDqPL5xXzhO/O4TXFSCzOIE1l82cNvxWQOrHPoahvJxgfz9tt38Y34TBip76elpvugnv8Qa06enk/vrXk7IeampE/HhDQwNe79zmmUxEeYaQ6+t7phk7IElQsolCw2skucS50joNEQEwhzpnoA0JhfOqMiKzTqIpIiAGYAK4dsQmIiDabUvTrYy4/fx1BlXk4VBZprzZgwTsUb0oKqwtSqYw1YLf66GvVVyjMhegYyaMcJZIME6fSDDowesTn0+8pRmANHMaZ+eeDUyviow98wwG5yhpQ+LcH9LKPLz7bLye2S06tm3bht/vJzs7m4qKCjjvq3DO58WDj31mvAwbBWF/yJrMNbN6zVOJRSIyDZxOJzslUYu/JDURQ5ao/fvjUDmyy5IA6Dw+HP8LppQiAZmDh7EGJ5Od1BARWZ5+BFB5sX7cJ9J6eACfO4AlUU9WyDwKUGovZVPeJlRU/nhwGpYcKctEn7jrcB7D6+1Glo3ojoiTM/ldmym4/z4evjyd+9dLNNx2HsWPPkLO//sxx9VQxHwcRCQl24opQU/Ap9B1YnjG7cMIB5wdOnQIh8OBTtZRahftsEeH4veJhIfgzTdlNZYiEvasVCZXkmTWc9UKkUvw85ebeGFQ3HRuyZmwEtKbYcV7xO8zrGzihs8F9cKout96Jrf/fQ8BReWKZdl88/Ianvj9IQY6HJhsOi784BI02rfHZUFjtZD3m1+jSU3FW19P4xVX0v6JT9J62200XXMt3uMNaFJTyf/zn9DnTb4pZWRkYLfbCQaDC9I9ExcRAVGeMe4iySFuXK3u6UlQUkoNil9Co/GTbu5jU6mdwcHByHuIhnA7qWvPnpg+ERCqyMc2i3Puj9uaGHZFJ0U+RYkYwitbfSSkm/jrIaFAvX+jIL29TY2oioIlyY4tZeFmGmlDPpHAYHxExOMRZnKNxopWmzSr17q2XCzSHj7xML5g9M9i9G5xThf7BekKWkcY6HDw2G8OEogxa2jKPkZH2bVLlOg2b948Xgre9HlR2lEVuP9DInckCnZ1i+cuEpHTBIfrj9OUIsoyV+emo88WN1Z/58wyflbI+9B5fDj+G5wpCSyhG9nAZHnPbl+LLJswa4fIt7Wzo2m8lHF8l7gJlq7KQJInB63dvlREUD984mGODx0nKqbxhwAM9L8AQJJlLcFWH0hgqklhh6WHv9UO8vD5iWy64zsYSkoAaOoTRC0eIiLJEgWh7pnG/VO9L7GQnZ1NTk4OiqKwN5QHMduod4Az7TZMskSH189h5+zc9WH4/X6GhkRb4slEJGxUrU4RCs77zxQX3uccTlRgQ5KVQpNh8g5Xv1/8PP40DM5vrgcA9U+A34nHmsc7H/XhCyicX53B999Ry9N/PET70SG0Bg2XfmQZVrth5v29haDLyaHw7n9iXrsW1e1m7MkncW59Cfx+rOecQ/GDD2AoLZ3yPEmSIhN5jxw5MuXx2SJMRFoGXTGH3wFQdA5p2iYy3eL71uryTXt9Sc0txD0gVIGSpHZKbEFUVcVisWCzRU8uNZSXo0lKQnW58NRN7y+7bGk25RlCFfnxU9H9Wa8OO3EEFRKDkDMQYCxZx5g3QHGahQuqBRnqPhHyh5SWTxnoOR9oU4SKFS8RmdgxM9vj2Ji9kQxzBsPeYZ5tfXbK44Fd9+M8IEhr5WpxPQiaRtEZJTqPD/P0nw5PKblHw0svvUQgECA/P5+S0DUXEIrZJT+G7JXgGYb7PjClvNs+1k6nsxOtpH3T+ENgkYhMi0eb2/Dp9CShsDbRgi47pIj0ulAD05cRMooSkDUSzhEfo/2zuMGFg80GJq+yZNlAcrJQAZamHmZ38yCBoILfF6TpQKgss2bq9Maa1BrOLzgfFZWf7/l59NeMdMwsj/pw/0AojXNMeBwMJUnIVh1/OPgHAG6ouAGbfvyiFjbcFaXFV38sXiGOu3Fv34zm3olYHapl7969G0VRKLMLGTpsDo0HJo3MWXZx7E/PsTwTzg8xmUyTOmYUVYkM4gt39ZRn2Di7PI1gjlCN3pmVPHWHKSVQsgVQhVdkvjgkpOK/jq7C7Vc4uzyNH15ew+O/PEDzwQE0OplLbl8SMVm/3aDPyyP/rr+Q/5c/k/75z5H+mc9Q/PBD5P72N2hTUmI+L0xE6uvrCQTiN0NGQ6pVj92sQ1WhoXeahY41DSlvNcuDO0BV8aDS74/92snZubj6BRFZl9vDyKD4rsZSQ0B4S8yhuTrOGcozGlnia1eIMtU/drRwqGPqORRWQ0q7/EjAY/2CRN1+TglyaOHUtcBG1TC0yaEW3riJyOw6ZiZCI2u4qkykHN9Xf1J5pvcoY7+4E1QJY7aVglu+h9FoxOfzsvr6DDRamcZ9fTz/f0emJSPDw8Ps3i0SUc8999ypZEmrh2v/DIYEaHt1iqoa8Yek1mDWzRwD/3phkYjEQCAQYGtI9Tw/0YxGktAkGZCMWgiq+Hun94no9JqI4a/z+MzJoRFEiXoPIzVlEwDL0w/j9AU50jVGy8EBAt4gthQjGYXRbyQfX/FxNJKGF9pf4OXOlyc/6HNCf2glkzm1NOP3jzAyImYS6OvEsZmXp/Fs67Mc7D+ISWviPdXviWyvKGpkimhxHIoIQF6VHZ1Bg3PYS09L/JkeNTU1GAwGhoeHaWxsjBCRmMpPDJwfauN9ao55IhPLMhMvDO1j7Tj9TgwaA0WJ476Ls9bmoJq1EFBYo48RQLT2g+Ln7rvAPTyn4wLAM4JSL1oK7/efwTnlaXxjQykP/mAPXSdG0Ju0XPHx5ZHI/bcrJFnGsn49KbfcQsqt78dQVjbjijgnJwebzYbP56MpzjySmK8vSZTFW56puIhS3WvY3OKG1eaO7ROxZ+Xg6hPfseKE1og/JJpRdSLMawTJd+3ZPeOxbyhJ5bKlWSgqfPre/VMUnTARKWr2oGjgiN9HabqVdywfj0/vDrXuLkSi6kRoQkQkOGsiMrcgv6tLr0ZCYkf3DhpHQvEC3jG4572MNorbbcI7P4is0VBUJK4JI94eLri1BkmWOPpqN8///WjMBdmLL76IoigUFRVFnj8FyUVw3tfE789+E0bHQzDDROTNVJaBRSISE8cbGzmRLFYN1xcI57kkSRPKMzP7RHLKkwBoOzILIhJl+F0YKSEiUpjQjFXnYEfTAA27xYWlbHV6zAtnYWIh76oUMfHffvXbeIMT6srdhwAVrJlgm7pKGhjcCiiY9SXIHVbQSmirE/nZHtEmdnPNzaSaxmu6XaMevAEFnUYiJym+QU5anYbCJWLl2bgndoT9ydDr9SxfvhyAXbt2UZYkPru2sTZc/vhySWA8ZXXvqIs+3+xTVmcyqpYllaGVx1vyDspiBavpdnPXS41ERdmFkFYF3tF5eUXqn70LWfFRr+SQV7SS98hWHv3pPhxDXpIyzFzzmVURP9MiZgdZlikrC6lwC+ATqYgQkRlKvxWXkKs/QJJTfI+OTENcApKGviFxfprlRrq7xU1pOkUEwLRCqJ/ufftR44iy/8rl1aRa9RztHuPrD9dFykUnXB4a3V60KhT3+GmSgwQl+OaVtehDXiTX6AgjvSEDbcnUMth8oE0ZDzWLR211e+JPVY2GLGsW5+SJPKB/H/23GKvw4Efxtzbg6hNlz4TLLgOgslKopAcPHqRoeSrnv79akJGXu3guChkZGBiIzNmaMcp91fsgZ7VIZ336K4BoOogYVTMWichpgQfqm/Dq9NjUIBsmTNrVZYWISNfMPpFwa2r70cH4Sw4pYSIydVVvNGZhtVYhSSq1qUfY3TBA80ERfFW6avoLy0eXf5R0UzqtY638bv/vxh8IR7vP4A+xOURwjqkimX833UvzaDPJxmRurr550vZhf0h+shntLHIowuWZE3t7Z2UaXRVKuTx27Bg6v45kYzIq6vhqJA5kGfQstZpQmVvK6oxG1ZTxGHZHIMjDfUK+1nS4uHtnG+1DUUiTLIvgIoBXfy2Uq1ni+SM9KDv/iKpKvKL5MOuOeql/VbQ7V23M4rrPryY5+83Rvne6IkxEjh+fnQoXDeUZoqw3oyKSVok+JZNst/CJHWqLXVLc1TxEuzOLoF8CPIyMCPVzJiJirKxAMplQRkbwNc58LqXbjPz0hhVIEty9s43vPn401KIu3kvRqIIhAE3aINeuymV9yXjJK+wPsWfnYrQsbNy4JsEAGgmCKsHRmbubXK5mAMzmwjm/5rsqxKLvoRMP4dz+Ezj8IKNt4n2ZVq1Cly0WtpWVleh0OgYHB+no6KBsdcYkMvL0Xw5P6iR89tlnUVWVsrIy8vJmIEqyDJf+WPx+8F7oPsSJ4RP0uHowaAxvikF3E7FIRKIgGAzyrFPInVtsJjQTlIawT8QXhyKSWZyIzqDBPeanvz3OnIpIaaZBsOmTEO6eWZF+gL76EYJ+haQMM6l505/AVr2Vz639HCByRcKTF2NFuwOoajCkiIDxqKjdumu1/HLfLwG4Y8UdU+YUNPWL9xmeKBovCmpT0OpkRvs98X9WCBUiPz8fVVXZu3dvRBWZbXnmglTRbv143+x9IjMpIlXJ41HsD/UN41YUSkwGNiTb8AUVvvt4jC6fmqvBXgiuAdjx21kd0zOHe/jtP+4mNSDzn8Hv4uiqwesKkJJj5erPrGLze6vQm+IITlrEtCgqKkKWZQYHByPdKHNFuDRzrHsGIiJJUHkZJV5BEBoGY6t/L9b3MqhNxh3yiegNXciyPGUMwZSX0Okic2dce/bEdfxnlqXy1cuECfP3Wxu54Xev8q8mQdLzmkT0ua3QyrfeUTvpeV3Hw4PuFtYfAsIMH4l6H5i+PKOqwQlm1YI5v+YZ2WdQmFCIw+/gkZ0/AWB0WJhKEy65OLKdwWCIqCIHDogFYZiMyLLE8dd6ePiX+/C6/LS2tnI4FDC3ZcuW+A4ke7m4hqDCc99ke6eYSbM6YzVGbXwzaV4vLBKRKKg/cYKGJHFTeWfx5DHQ+pyQYbXTMaPKodHK5FSIXI64A7uSi8SgI78TRtqnPJyWfiEgDKslLnFilU5TlpmICwov4IqSK1BUhc+/9Hn63f3TdsyMjh7A7x9EI1kx9BQi23R8o+eHuANuVmesjqQJTkRjyKhaHKdRNQydQUN+Tag8szf+8gxMNq2WJgkid3x4dkTk0jRBRF4cGsMRiL+n3+fzxeyYOTow3robRnj66DuzkvnKZdXIEjx6oItXG6MM/tNo4VwRosW2n0aNfY+GRw908Ym/7eZip497Bn5Er78CnUHDxmtLuf6Lq8kqSYz7/S1iehiNRvLzhZ9gvqpIVaYoEXYMuxlxzVAirL2GGr+4eXUGAvhiJIe+WN/HkN4eISIJtn5SUlKmRLtHgyk0I8q9d1+c7wBu2VjED65dil4js6NlkDqPUCGKewO49RK/+OC6KSGHEztmTgXi9Yl4PF2oqg9J0mM0Zs359WRJ5p2FYozC3TYz3sxL8TT1gEZDwkUXTdp26VKxADx06BD+UKt02eoMLrtjGTqjho5jw9z3w908/qjIBVmxYsWM/p5J2PxlkDRQ/wTbG0WW0MacjXN+b6cKi0QkCh481ohHb8CqBjnTPtkAqk03I+k1qN4ggRkMq0DEBBhvhDka3bgq0iduZIo3iK/TQWDQg9VYhcmYj17jpzpNtNZVnhH/SfPFdV+kIKGAbmc3H3/2Dtyh14hGRPr6ngbA6liGpGo5nNPKKz2vYtKa+Or6ryJLU78+kY6ZOI2qE1G8QtzIwymx8aKqqgqj0cjo6CjZPiF7zlYRqbQYKTYZ8CrqrMoz4Y4Zs9k8qWOmz9XHgGcAWZIjJtoTLg87RpzIwHWZyVRnJ/CuteIm9sX7D0Zv26y9VqTdekdh68xzUf6xo4Uf/t8+3jesxelejYqGkmod7/7aGSw/L/8tHdv+RqE01N47X59IollHrl34quq6ZlDmsldQYRLf0yGzTNvRqdeXzmE39T0OhvVJOHtEh4QtoW8KYY4F88qQTyRORSSM61fn8eJnN3Hl2YWgkzH4VTKGg6w5I5tE8+QhiqqqRqLdsxa4YyaMeDtn3G6RLm0y5SFJ85h1E/ByxZ77MCkKJ/R6jgyLMorljDOmdGEVFxeTmJiIy+Vi54Qk27zqZK761ErMiXo6Rurp6ulEq9Vx7rnnzu5YUkpg6fW4JIldg0JRWSQipwF8Ph/POgSL32wzoT0pl0OSJfShMog3jg6PcHJoV8Mw3njnHaRVoqoS7v2d9P5qH51fe5nen++l+wev0fWtHdgG1wGQkLcbX7KOxLT4TKEgxlb/cvMvSTQkcnCgjo+l2XFa0yBxcs1RVVV6+wQLNzcsQ0XlB35RHvj6hq9TmFgYdf/zISKFS1KQNRJD3a64ovHD0Ol0kaTLQIf4jGdLRCRJiqgij/QNx/28cFlmSn5IqCxTlFCESSv+fcJqyKZkG5kGcUH+zIUVpNsMNPY5+f4TUUo0sgznf1P8vvP30BG9i0FVVX71zHGe+ecxrnMYMKlaEjRdXLbkcS76+Flvu3yQ1xNhn0hTU1NkVTtX1GSLhc/hzhmuLZJEXpG4DoxYZJoOTs3gCUeo5xYW4uwW30GrdYi0tPjatE3LxOLE19JCYJZlp6xEEyVVovxTNqQgq5BfM7Uza6SnG49jDI1WS2rBqUn0jRCRgeiTccNYCH8IqgqPfQZb22tc7hbfBeeTzwGQcMklUzbXaDRs2rQJEPkgbvf4Mabl2Tj3A4W4EsRxGQcKqHuuD2W2c7E2fIxdRgN+VLJN6RQlvPmSkxeJyEk4dPgwDaFumXcV50bdRp8vTmRf6wy1XCApw4w904wSVGmJcrGIhmDSEgb8X2VgVzG+tjFQQTZrQSuheoOY9oubbkL2QVrM059c0VCYWMgvNv8Cs6Rjh8nILWl2mkabJ23jcBzF7W5BUvVY+5ey03qILn0f7699PxcXXRx1v76AQluoXj0XImIw6yIK0vHXemb13GWhi2bXiS40ioYBzwCDntldPC9NSwLg2YExXHGe7PEaVYOqyr09ooTzzqzxVVGSWc8PrhXy7F+2N/PYwS6moORcWHK9SEx88GMQmNyu6fEH+fz/7aX3vy2s9grJvdb8OO9M/SQF19wU1/tYxNyRnp6OzWYjEAjQ3Nw8r33VZAsyXDcTEQFyllyKRgkS1Egcqu+fYvJ+4ZggIhtrCtBp0/C6TUiSSmJSfOeFJjERfahF1DOHmTovDYnrY26bB1mWImXqiQhP3E0vLEGr0015fCEQ6ZyJWxGZuz+EXX+GPX8FJN654Uvk9akkdzlAq8V2/nlRn7Js2TLS0tLweDw8/PDDBINCGR0aGuK/D9+DikKyOROjO4s9T7Rw3w92M9Axi9lYGTVszxJq00bVsKCBcQuFRSJyEu4/0oBbb8SCwpn26MmD+lA+iC/OzItwyaFx38zeh8Cgh94dq/Eoq0HyYzs3j6wvrCX7K+vJ+cZG0m5fij65Fp0rDTQ+rrLsx9k9+4FtK9JX8GdjBcnBIEfxcN3D1/Gj135Ew1ADQSVIZ8/DAJj6qpGDRh5Ifo731b6PT678ZMx9tg66UFQw6zWk2+a2Aq9YJ+qfx17tnlW4WV5eHsnJyfj9fpYEhcmuYWh2Uvkym4lcoxiC98JgfP+2sYyqYSISNqq+ODhGl9ePXavhwtTJK9JNFencGkpcvfPf+9jdEqXd+6LvgikZeuvgsU9HjMwdw25u/cl2Ul4dIl2RkQwylxb8lXMSfo9uyRUxhxguYuEgSdKClWfCikhd58ymaW1qKVmKuNl3A/1t49cBX0BhW4NY+GyqSMOencvIqPiO6nXRo7+jwRga7ueeJRFxBxVeGw2poz1+skoT0Run+lIiE3dPkT8EJqSr9num7chzuZsBMJsK5/ZCzdvh8c+K37d8hbLlN3NdmygVdy3JRJMQXYmSZZlLLrkEWZY5fPgwf//733n66af5wx/+wOjoKKmpqbz/I+/hwg/Uojdp6W0Z457vvMZrjzYRnCFYM4ztIQV2Y+fROXXgnWosEpEJGBoa4uWg+EguTE5AJ0dnjvo8QVAC/W6Czpml2OLlgoi0HBog4ItthAwMe+n7wwGCTg0aqZN00xdJPD8fTaK4qUuyhKEwkYOqhpE20bZqzNjFwO8O4JsNQw6hpvsY/+7oZmNSJd6gl78e/itXPXQVq/6+kt0nfg9AYvdaWg3dXLHlBu5ceee0bHpiWWaurLtoWSp6o4axQc+s5vRIkhRRRfIdIfPgLA2rkiRxaWoSAI/G2T0TSxEJR7uHjar/6BJG06sy7BjkqafdFy+pYnNlOt6Awnv/tGPSLCFATOa86neABHv+ivryL3h4fye3/mgbqxr9WFQJU5qRm858nELvA2BJh4tn9pQsYmGwUG28YUXkRJ9z+qj3EPLN4iY7ZJFp3t8d+fvuliEc3gApFj1LchKxZmQxNiaIiM8ffyS9aYkgIp6DsyMiu0edeBWVJD+kjCmRKIOT0XWKjaoQUkQkUD0BlGmu1y5XSBExz0ER6T4Ed78LlADUXAVn3omqqqypE+rlgwX9jHhjX1OKioq4/vrrkWWZpqYmtm/fjsvlIjU1lZtuugmr1UrZ6gze/dV1FC5NRQmq7Hy4iXu/+xq9MyyI20bbaPH0oVXhjNFBqLt/9u/vFGORiEzAqzt30pQqGOw1uVPj0sPQWHRoU8UFwNc2c3kmLd+GNdlAwKfENK0qviAD/1dHcMiLNsVIuuHL6JUjMDJ59TI64KblYD89raJTxJF2AHwu+n5/AG/zLFpPXYMweILMYJDfnPdbfrXlV2zM2YhBYyBLGyBDp0JQh6VvBQUXLuW6iutmJBfjrbtzz6bQ6jWUrhKf/dFXo5QppkHYga4b1mEKmGbtE4Hx7pmn+kfwzRDk5PV6GR4eBiYrImO+MdodouOpMrmSPp+fJ0Px8e/Jjh4ZrpElfvGuFZxZmorLF+R9f9nJ1x+umzxIrPwClC1fBUB6+n/puvvbXNgvY0AitdDCe5bfg7Uu1OZ75S/BEjuefBELi+Li4gVp481IMJBi0RNU1JnbeIH8ZKEgjlhkWnaOf99fqBcE+ZzyNGRZQpOYzMioIMtjY/tQ1fg6w4y1QlFzHzo4q3yfl4bEtSC/24cEkY64iQgG/PQ2iZlap6J1NwxJp4ks5gL90UvZonVXpKrOWhHpPQp/vxq8I5B3Blz5a5AkvEeOoGnvwa+VeLnYzz3H7pl2N5WVlXzwgx/knHPOoba2lquuuooPf/jDJExQUixJBi758BIuuLUGo1XHQIeT/3xvFy//tyHmIjfctrvClIlFVUVa85sMi0QkBK/Xy6PHm3AZjFglOMs+fQ6GPhSn7m0YnnHfkiRRslLcqI7t6J7yuKqqDN/fgL/TiWzRkfqBJWjSQ33+fZMNjIde6EBVIS1jGT41EzQ+WnMOonqD9P/pEJ76OFNcO8WgOOxFSJYUzs49m9+e91t2vHsH31l+OQC23hUY7Mlkr4vvIhFWROKNdo+FivWiC6hhT1/8Bl/AbrdTUCBWM3mOvDkRkdWJFjL0WsaCSuRiGgvhuGybzYbFMv6ew2WZbEs2iYZE7ukeIqDCCpuZamtsY7HFoOXPt6zh+tW5KKrwjKz59jO85487+Ox/9nP733azYesSfui/nrFgKrrRc9EjkW1r4WrlRvQH/wKSDFf+CsovnPV7X8TcYTQayc0VnrLGOALAYkGSJKpD5ZmDUea2nIw8o7jBDls09PTpcYdKii8cFYraORWCfCh6A06HnWBASyAwxtjY9MPswjBWVYJGQ7Cvn0Bv/N1sYX9IYacPU4Ke1Jyp19P+1haCfj8Gi4WkzOy49z0XaEOG/kBfiIi4h6BtJ7S8AoONeNydc2vdbd8Ff7kYHD2QUQvv/peYoA2MPvYYAN51tXgMEv848o+YU3nDyMrK4txzz+Xaa69l2bJlaDRTu3ckSaJsjVBHytZkoKqw96lW/vWtnVFV5O0dgohsLL1MREO0vwY9h+N/j68DFolICPv37+ewXZhUL0m3o48in0+EsUwYrzxxzpGpCt1cm/f34x6b/GV0H+jDtbcXZEh+d6UI4EkLZU/0jsuoHqefQ1s7AFi2OR+dVZifDmdtx1hhR/Ur9P9fHe5jcazIOkIteTmrJv1ZQmWsP+Ty7tpAwpZ8JE18ZZbG8NTdWWaInIyskkTsWRYC3iDHXp1K3KZDuDxT4Cjg+NBxFHV2DnNZkrgkZFp9oHf6f9uuLqHYnNzXHzGqJleiqir/7BRlmVhqyETotTI/uHYZ//f+tVRnJeAPqmxr6OeeXe08UddN95iXv8nX8HfnL3ApyaRom7nU9AV0vj5ILoF3/hNWvGfG11nEwiM8+2O+htUVeUkA7Gmd+dqSb9ID4LT5AJnWRx+gc9jNsZ4xZAnOLhNERJivZUb7xHVrcOiVuI5FNpki04c9Bw/G9ZzRQJB9o8K0XtgbIL8qecpUcJg86O5UGyjDCrb/2CH4w2b4fhH86Xz4y0Xw8xW4/yJaWk1yEpI/jrk0ShBe/S38+SJwD4rr6M0Pg0l8vqqqMvq46DosvfZmMswZDHgGeKTxkQV7TyabngtureGSjyzFkqhnpNfN/f9vDzseaox01rgDbnZ07wDgzKKLxOgIgIPTqzOvNxaJCGLA3UuvvMKJNBFedm3mzAPADKVJIEGgx0VwZObo4JQcK+kFNhRFnaSKBMd8DD8o5MmEzfkYS5LEAxkioZCe8ZXLoRfb8XuDpORYKFiSQknBtQAU2vajuzoFY00KBFQG/u8w7ii5ApMQbgM9iYgMDm3DHxhA47ORpF+HaVl8mQMw0SMyv5hmSZKoPVuskA5t7ZiVJFxdXY1WqyXBn4DepafT0Tnr178mQ1xMHu0bwTlNuFl3t/h3zMqavIKa2DHzyrCTE24vFo3MO9KT4j6Gs8vTeOwTZ/HkJ8/me1cv4X/OL+drl1fz1/ev5cel+SguIyabjktvK0P/zt+Li+Adu6AiekfTIk49CgsLAdHGO5vv7MlYUSC+f3tbh2fcNs8oiMhoorjRtuxtZ8d+4edYnpeE3SIeHxkVCsVohzg3hwa3x308xpBPxB2nT+TVYQcKkOpWSXQpUdt2YdyomlW2sIPuokFnF8pC4PCe0LVPhYRcsBeBRo9LK67h5t52+EEJ3P1u2PuPqSGCfo/wWPx+EzzxOVD8UHU53PQgmMffp+fAAfwdHUhmM4mbNvPe6vcCcFfdXbNeHM2EoqWpvOur66jckCUGdj/WzIOheVIvd7yMO+Amx5pDub0cll4nnnTwPxDHDKHXC4tEBNi7dy+HJD1enZ40nYaNM5RlQPhEdLnCtBq3KrJR3FwPb+tEVVVUVWXogQYUVwBdlgXbuROyPDJC3Q494uT3eQLsf074DlZeWIAkSRRm1NIyWohGVjjS8h9S3l2JqTYFgioDfzuM+3CMJE5VjUlE2ur/BoCtax32d1RGXclEg8MboHdMnMxFKfOfX1JxRhZavcxQl3NWplWj0Uh5uSgl5Tvy51SeWZVgpsikxxVUeLQ/tjweJiInKyITo93DJtV3pCdh0c4+JKki08Y71+bz8S1l3LKxiOxRhfpXukGC82+twbb0LKi+AorOFpkji3jDkJubi0ajwel0RoLu5oKVeYKINPU7GXBMv8jJDxGRfr0WRYJWdy2lr3wBUNlUIcrBqqrSFzoeR2uolDOyi2Bw5gUUgCnUORNvC+/Lw6KkmdfpBYmYk53DrbuZpyjILALXINrd3wAgoObCmXfCp47B/9TBJ/bBF7twr7keAJNihoAbjj0KD34EflgMP6kVxOPX6+F7eXDvLWJGlyERLv4hXP83MEzusAyXZWznnotsMnFN2TXY9DaaRpp4quWpBX+LBrOOLTdVcf77q9EZNHQeH+ae7+xk6x4RkrYlf4tQncovAr1NeA/bdiz4ccwVb/srl9/vZ+vWrTSki/rulRn2SbNlpoMxNLXUE+eNsmxNBjqDhqFuFy0HB3Af6MNTNwCyhP26cqSJqZeZoXkM/fUQ8LL3qVY8Dj+J6aaImVOSJNq9Yu7AyMD9IEskv6sS05JUQUb+cQR3XRQyMtoBzl4R/TthxoxroI1Bl5gtk2W/FkN+fMFHAM0hNSTFop+SnjgXGExaykOtvPueib/dEMZNq3nOPOqH6mf92pIkcV1IFbu3O7qyFAwGIx0zE4mIN+ilcVh4BLITyiPhaDfGUZaZCa5RH1v/Jd7P6osLyaucWblbxOsHnU4XGUY2n/JMollHabpYDM2kimQadOgkiSDgsWvwqlZSRh18THM/54aIyOjoKF6vFwnw9UlIig1F8TIyEj0c72SEDaueQ4fiUnp2DIcGX/YFSM+3YbLpp2zjdTkZ7BQLq8ySsriOY04I+ODf70U7tE38r5SHuvmrYJuweNBocWlFudy88ctw+zbY9IXxxeBIm/DU9R6GoA8ScuDM/4GP74F1t4nZPxOgKgqjTzwJQMKlIsTMqrdGVJHf7vstQSX+MRKzQfnaTK7/4hpScq24x/wkP72CgsEazisIZZjoTELBgTdVeeZtT0S2bdvGoNNFc6qQ169Knxq6EwvG8pBPpH4INY5+boNJS+05ovyz/9GmCSWZPPTZJ6kwCTmi3qgEcJyoY9/TwtG9/qqSSTHdRtsFeIM6tGoLw8OvIWlkkt9ZgWlpmIwcxnFy90lYDcmoEV9MRNfOied+C5KC2VFF5iUzjJk+CY3zSFSNheVb8kCC5gP9s0paLS0tRdbLmIKmORsHrw2VZ7YNOWhxT1059vX1EQwGMRgM2O3j35mGoQaCahC7wc7zI1q8ikq1xcgKm3lOxzERL/27Ho/DT0qOldWXFM57f4tYeITLM/P1iazMTwJg9ww+EVmSyDUK4q8PlUBavKv4lO4/1LT8FVQ1knVjNuiRgOCYUGYHB1+K61iM5WVIOh3BkRH8bdMvCpzBIAcdwh+S3xeI2bbb0yiGeiakpWNJiv+aO2s89SVo2YbG4AENoEBwaKoHJJyqajIXieydTZ+HD2+DzzbB+56Ad98DN94HH98HnzwE531VtNRHgXvPHgI9Pcg2G5Yzz4z8/T1V78Gmt3Fi5ARPtzx9Ct6sQFKGmas/vRJbqYRW0XPRsQ+gPTqhxL4kNCPsyCPC6/ImwNuaiPT397Nt2zZaUjLxa7TkG/WsTIj/hqHPT0C26VHdATzH4ivPLD8vH41OJqvPNV6S2RRlpLMkCRc2sP3BLgJ+haySxEgmSRgV2Vm80rkGgLb2u8RTNTLJN1RiXpEOCgw/0MDgPcdQwh0oJ5VlFHeAvrv2MWgRLD6v4iZk/ezKCE19C09E7JkWipaKk31viIjFA61WS2axWPG42maeBxQN+SYD5ybbUIG7OqbK7BPLMhONduGyTHlyFX/oEDeAW3JS523Gazs6SMPuXiRZYsvNVWi0b+tT902LiYbV+fhEVuaLm/OeaOF2JyE/1DmjFopzb7dHLCLkp/8X7r2FvjZRnkxOSgJgtE2UEfr6n43rWCS9HkNoSuxM5Zm9oy4CKiS6FeEPqY6uBHYdD5VlSk+hP6TpJTEWAZCu+yPaVHFt9/dNbuGd3Lp7UoaIORkK1osutLLzQkNJpz/3ImWZLVuQ9eNqkE1v46ZqkXT8m/2/OWWqCIDeqOXY2mc5mvYqEjJb/1nP/udCJLLwbFFWcvaKDpo3Ad62V7NgMMiDDz5IMBikq0icDFdn2Gd1w5BkCXOIGLj2xdfaZk7Qs7YmmWy9jAIkXlWKFOumkrmE4+4NNDSakGSJM68vm3J8NdkJPNN6DiCG1LndQu6UNBL268tJuLAQJHDt6aX7x7sYe7GdQLO4MCnpq3Hu7qH7J7vp9zxJwDiETpNKdtmVcX8GYUQyRObZMXMyVl4oLgz1r3YzGiMDIBrWrBDkLGEoAadnbkmC78sRJOjursEpke+dncIEG6tjRk44i3aPn2SdJlLmmSuCQYWXQiWZ2nNySMuPnvi7iDceOTk5aLVanE5nRImYC1YXhgyrbcO4pwlBhPHOGUeKHgWQgnb2ln5JtGoefoDeF/8MQCbiGtW934OEBpfrBM6hA3EdjylOw2q4LJPb68dg1JBRHL28G564m3WqyjJ+Nzz0MfH7qvdB+YXo0gUROXlYqcfTHWrd1WE0zq+NWA0EGH1SeEDCZZmJuLHqRmx6G40jjTzZ/OS8Xms6uANunml7mhdK7ibnLBFxv+2e4xx6sR20+vH2/iMPn7JjmA3etkTkmWeeoa2tDdVspd4sTpZ3ZCTNej/mFaIO6z4yMK44TIPgmI+MHnGy1nuC7N8X29Q2bFrO1tEPAbDqogLSC6ae1EWpVoZ9udT1VwAKbW1/iTwmSRIJ5+aRdvsytKkmFIefkceb6D7xEdo999F5fwFD99YTHPUwWCpGRBcU3ooszz6efaEyRE5GZnEiedXJKIrKa482xf28ZWXLcGvd6FQdL+9/eU6vvSUlgXyjnuFAkP/2TF6ZdnSINupwdkQYRwaPoAIHgsKA976cVEzznHh7+KVOhrpdGK061l725htYtYhxaLXaBfGJlKRZyUo04gso7GiKYToPodAkztc6h5sujSAtas474danoPAs+hCkJq/rUSRUPI4gCQOiPNF/3wXwowr4721w9LGYnRQRn8gMLbw7R0L+kP4AuZXJaGJ89095tPuO38JQE9iy4XxhVNVlhBSRnslExB2Kdp/31F3A9dprBAcG0CQlYTnjjCmP2/Q2bq6+GRCqSECJPydpNnix7UVcARc5thyueNcZrLhApE2/eHc9h7d1jvtEjjwcGRfxRuJtSUQOHz7MK6+IPnr95gvxq1BtMVJpiX+KbRi6LAvaDDMEVJEFMg1UVWX4wQZUdwAl0UC9R2H348007J76POeIl4efyMCjJpCub2T1xdFjhzWyRGWWjSeahWm1o/OfeLyTszcMBQlkfHIl9mvL0GXIQBAQFy9tmongBS34jJ1otTZyct41689AVdUFa92NhnWXFwNi/sxQd3zqhizLeNLFxbbuUHzhTSdDI0m8P6SK/LylB39o9k0gEIiUZnJyciLbB5Ugx4eO4zOtpNmnxyTL3JITvY4cL/zeIK891gzA2suKMFpOzWCwRSwcFiJPRJKkSAbI1vrpO3CKQorI4REXjTpBJLqODEPOKtSbH6ZPL64dGZVrSDQLRVU/JBKE+1L04OiGA/+Gf70LfneWCPk6CcZaMWjTc/gwajC6QhNQVHaF5svk9QVitu2ODfbjGBpEkmUyikqnfW9zgnsItv1E/H7eV8EoFnDaDLFI8vdMvoa4QsPu5jxjZgIiZZnzz0eKMcTvxqobSTIk0TzazH319837NaMhnFdySZGYYbP+qhKWbRYE+fl/HOXo4FLQGmG4ZVJExBuFtyURSU5Oxm63c8b69TyliC/LXLsaJEnCeoYwuo6+0IY6zXwI52vduA+JLpmMm6qoPjsHVYWn/1THvmdaCQYUFEWl+WA/93znNUaHFBI0PVya+A00jtgmsZrsBA4PVjCq1KAoPpqbfzP1OLUyltWZZKw/SLbhBjLL/0LWl9eR9slaOk1CRcnNvRmtdvay/6DTx6gngCRBQcr8TZknI6MogcKlqagqvPzfE3E/L6VI/JsOtw/jcs3NK3JTTippei2tHh/3hDpouru7CQaDmM3mSUbVltEWXAEP7iTRCvjB3FTS9PMjDvufa8M96iMh1Uj1mac2fXIRC4OJhlVlHlkN4VTUF+unX+AUhRSRPiVIo1Zcf9qPDhLwBxkbG8Pr8yNJEinX/5zkqrUA+As+B8BIoh7Pe/4G6+8QbZ09h+CuS2DrDyetlA0lJUgmE4rLhS8GwapzunEGFQw+hfSRYEyjavdxoYak5hWgMxrj/DRmge0/A88IpFfDkusifw4rIoEe16SBmu6IUXUeU3cB1e9n7ClhQo1WlgnDqrfykeUfAeCX+37JqC++AZvxosfZw7YO0SV0WfFlgLhPbbyulCXn5IAKz/2jkeO294snHF/4duLZ4m1JRDIzM/nQhz5E0pr1HHN6MMnyvOr4ljWZaJIMKKM+HDGSQH0dDoYfCnXJXFCAIcfG2e8sp2xNBoqisv0/Dfzhzq38+dMv8eivDuAa8WHPsnB5xT2YNSPjBtMoqM5KBCS291wNQGfnv3E4Y+RntL2KLHnQllahserp6PgHbncren0aBfm3zen9h9WQ7EQTRt38pM1Y2HB1CbIs0Xygn7Yj8c3yKM8rZ1g/DKpQweYCs0bmY/mi/Pb/mrtxBRXa24UPJycnZ4pR1WM5G78uhyStho/mx55XFA987kCkW2rt5cWLBtXTBNnZ2eh0Olwu17x8IhtLUpElMQCvYzi2P6ogREQUrcyQRcaUqCfgU+isH460mKekpKDVaknOFqXE4Q4HSUnrAJVubTtc+G345AFY9i5QFXjuW/DUlyNkRNJoMFYIL53ncPSheTvC+SH9AewZZhJSoivMp3TQnWcEdv5R/L75f0Eevx5pU0ygkVD9yqTOmbAiYjrZqDpLOF95heDICJrUVMxr1ky77XXl11GSWMKwd5jf7//9vF73ZNx3/D6CapCV6SspTiqO/F2SJM66oZzqjVmoKjxz9DwaPWvh+Knr4IkXb9srm9Fo5G/dou7/jowkEuYQNhWGpJVJ2CxqcKPPtuA/yQzl73PR/5dDEFAxViZjO1tcDGRZ4vz3VXPueysxJegJ+hW8rgB6k5al5+Zy3edXk1QS+iKFI9mjIDw6/PnGHFJTNqOqfo4e/SLqyQl+qgqtr4rf89fjdrfS2PRzAEqK/wetdm7+jlPRunsy7JkWajeJMshL/64n6J95pVlmL6PVKm7kBw7EZ8qLhvdmp5Jj0NHh9fP9xq6Y/pDX+ptw2t8NwCcLMkjUTR17Phsc2tqB1xUgKcNM2ZqMee1rEa8fJvpEWlpa5ryfRLOOFaHumWeP9MTczqyRMYdOh3VLMiiqFUpgy6GBCBEKT4dOyRHHNdjRRlamWLh0df9XdPiYk+Gq34qQLoBXfgkvjk9wNlaLtGdPDFK/I+wPmaYsAxMSVU9Fx8zuu8A3BmlVU1KGJY2ELm2qT8TlEi3+FnMx88HoY8Jnl3DhhUhRZsRMhFbW8uk1nwbgH0f/Qcvo3L8nE+FX/JFyzzsr3znlcUmWOOfGSsrXZqCoEk8Of5rWBo8oZ72BeNsSkTaPjwdDs0TmW8cHMK9KR1+QgOoJ0v/XOvw9TlRVxV03QN/vDqA4/OiyLCRfXz4prVSSJao3ZnPzdzfwnm+ewXVfWM37f3gmZ91Qjs6ggeyVYsPwkLooqMi0oZElBpw+krO/iEZjZWRkD62tf5y84XALjHWBrEPJXMKhuv8hGHSQmLiarKxr5vzem14HIgKw5tIiTDYdQ90udj/RPOP2pUmltFnaUFFpbW2NTMqdLUwamR9UiAv479v7eDk00GuiP8SvqPxnLB9VNlOo9/DBvPij8aMh4Auy71lRjlt5YQFynAm3i3hzID9fLEzaZsjdmAkX14qurPt2t8fcxukN4BsRgVxLylMoWCKuZ82HBiKKSJiIJOcI8jzY2U56+kXIsgmXq4nR0X3jO1x3G1zyI/H7C9+BetHdYawJEZEjUxURVVUjHTN5/YGYbbuKEqT7hFBrF1wRCfjE/BeADR+bEjQGoM2cTEQUxT/eujsPIqJ4vYw98wwACZfEN2bhzJwzOTPnTAJKgB/t+tGcX3sinm99nl53L8nGZM7LPy/qNnIoAqBkZRoKOh4b/CztL8aXKXOq8LYlIr9r6yWgiim7yxYgbErSyKS8twqN3UBwwEPPT/bQ+bVXGPjbYUFCMs2kfmAJcozUUY1GJjHNTHpBwmQJPhzB3rkvZviMUaehJNQ2W99vprRU1H8bTvyAvr4J9b+QGqJmL+NI4zcZHd2LVmujpvr/zcstfioyRKLBaNFx1g3i4rX7iRYGOqafjptoSCQhIYE+o1gVHoxzaFc0bElJ4PpMOypwb0ENvdakCBEJqiofO9JCv5wPio+vFdriTueNhaOvduMe9WFNNlC+blENOd0QJiKtrfHn30TDVSty0MoS+9tHqO8Zi7rNIwc6UZ1+ALQ2HbmVdmSNxGifm+5OoaSkp4syYXK2INSOwQGCPpn0dNHG2dHxz8k7XftBWPMB8ft/PwijXRirqoCQYfWkTosmt49+fwBNUCVvVCG7PCnqsQ52tOP3uNEZjKTkRslPmg+OPARjnWDNhCXXRt1Ed5Jh1e1uRVUDaDRmDIbMqM+JB85t21AcDrQZGZhWrIj7eZ9Z/Rk0koYX2l7g2db4cl1iQVVV/nhQLD6vLb8WnSa2P03WyJz//hoKM/sIYuC5JySCcYRyniq8LYlIvy/AP0ITUT+ev3AXeY1VT9oHl2KqEasB1RsEjYRtUy7pH12OZi4dD6lloLeC3wl9x2JuVpMtXPB1naPkZL+LnOx3ASoHD32C1ra/iDJN80t49TIHCwN0d9+PJGmorvohJlNOzP3Gg4gissAZItFQuiqdomWpKEGV5/52FEWZvvWszF5Gm1WsSg8cODCvkKnvludSqwWfVsdDK87iu+2D/K6tly2vHeOB3mFQA9gHf8XmzPllI6iqysEXxAp42ea8mC2Qi3jzIuwfGhkZYWQk9ryimZBiNbC5UpCIe3dNVVf8QYXfvtiI5BJtoE1uH3qjluyyJFTGZ8yEFRGj1Yo5MQmAoc52cnPEpObunofxek8yxV74XcheIXwXj30aQ0kJ6HQoo6P4Q+XJMHaMiEVB9mCA/JJEdDECEcNlmYziUmR5gf1ku0ReCqvfB9roEQQRw2q3UERcLuHbM5uL5xU6GCnLXHwx0ixmPhUnFXNLzS0AfPvVb8/LuLqtYxtHBo9g0pp4T9XME7g1WpkLb8yk3PgCl1Y++IZ60N6WV7iHeodwKyrLbCbOjGPA3WygTTaS8t5qMj+/loz/WUXO19aTeFER0lxNnLIGspaL36cxrIZ9Ike6RpEkifLyr5Gefgmq6uP48W/x0rZ17NQ8xctr7PTJ7UiShpqan5GWdv7cjisERVFpGjg1GSLRIEkS57yrAr1JS2/zKAeem176Lk8qp8PcAbKIZe/piV1rnwkWjYbbRzrIGeolIGv4fXsfX23o5KjTg0VWSOj/JUuMbvSaqbM1ZoOuhmEGO51o9TKV67NmfsIi3nQwGAyRsLv5lmeuWy2Ug3t3tzPs8k167D+722nqd2ILiaXNoXEEhUtSUWQfgaBPdMykjJdKwj6RgY42EhNXkJi4ClX109b+f5NfWKuHK34pgtGOPoJ04gmMZYJkn+wTCeeH5PUFyItRloHxILMFL8v0HYOW7WJ+1sqbYm6mywopIr0uVL+C0xn2h5TM+aUVt5ux558H4i/LTMTty26nMKGQPncf393x3Tkdg6qq/PaAKEtdX349dmN8sfna4g2c/40Pk3L7H2fe+BTibUlE3peTyr3LSvh6ac68o7djQZtkQJdunjsBmYickE+kfWfMTSozBRE52i3kW1nWUlvzcyrKv4FWa8PvH2TMrKBoJBJsS1i96j9kpM9/ZHzniBtfQEGnkchJmn0Oy1xgSTKw8RqRP/Dqg43TZouU2cvwa/w4k8Q28zGtAnQ3N3HZgZf5vl3H1Rl2rkhP4lOFGXzQ+goG926qU6rntX+AA8+L1Wb52szF3JDTGAtVnjm3Io3yDCvDLj8/fHJcFR12+fjpM+LGfuMSoWo2hohIQW0KQa1Y9dvtyWi148bp5AlERBznrYAoz/j9J63IM2vFtFqAp76MoTLcOTOZiOwYEopIfv/0RtWu42Gj6gITkV2hIMfyiyAhdpu7JsmAbNaCouLvdk5SROaKsWefQ3W50OXmYlyyZNbPN2qNfGPjN5AlmUcaH+HhE7NPO32k8REO9B3AqDFyc83N8T9Ro4OEN36x87YkIpIkcVayjTOSFj5865SgYIP42RI7IbQqS+R/NA84cfmETCtJErm5N3LWmTtZabmJJXWjrOvIZ/Xq+0lIWBpzX7NBuCyTn2xG+zqWEKo2ZpFXZSfoV3j2r0dQgtHrm6VJgrAcNwqD3MGDB+ec7TA2NkZ/fz8ScH1FMb+uLuD3NYV8piiLpkFBcOZLRBxDXpr2CU/Lkk3zK5kt4o1FuHNmvkREq5H5xpUiYv2fO1t55EAnTm+AW/+6i55RL3nJJj6yVpCeQX+QYb/otNIlCd+I1ZA4aX+p+YUA9Lc2A5CWeh5mcymBwAgtrb+begBn3gm2LBhuxWgWJe2JhtV+X4BGj1BqygMyyVnRlVG/z0tfq0hHXlBFJOCDA/8Sv6+6ZdpNJUlClyOu+75OB85Qx4zZMndFZOThhwBIvOLyOS9sV6Sv4PZltwPwzVe/ybHB2GX4k+HwOfh/u/8fALctvY008/yM8m8E3pZE5LRD/npAgoEGGIueU5JiNZBmM6CqcKx7sqlNlvXY21pJH/BhzT1/QVWgxohR9fUldZIkce57q9CbtPQ0jcYcilecVIxG0tCkb8JoMjI2NkZDQ8OcXjOclJmVlYXJNK7+qKrK4QGxQqxJqZnTvsOo29aBoqhklSaSmrs4U+Z0RlgR6enpweudOsF5NjijOIWrV4oAxDv+uZdlX3+K3S1DJBi1/OnmNSQb9GQZhHp2wiVeS58siAieyaFhaSEi0tciSIEkaSgt/SwAbW1/wePpnPzieguc+yUATIOig2aiIvJayB+SNhKgsjw55vWlt6kRVVGwJNmxpSzgzfL4k6L91JoJpVtm3FwfJiIdY/Nu3Q0MDuLcth2AhMsun9M+wrhtyW2sy1qHO+DmjufuoM81cwaNqqp8a8e36Hf3U5BQMDs15E2ERSJyOsCUJCRSmFYVqcwUN64jXSe56xUFmraK34vOXtBDO9EnLkIl6afeH3IybMlGzrpB1Kx3PtxEf/vULhqDxkB+Qj6KpJBeIkx/u3fH9tpMhxMnhIwbTs4Mo8vZxbB3GK2spcw+d6NqMKBQ95K4CSzZlDvD1ot4syMhIYGkpCRUVY2E4M0H37t6KR/ZVIIsiTj1XLuJP92yhvIMcd6XmoVB87hLhHUFNGKR4OqRJ5m0w4qIY3AA95goxaSmbCYpaR2K4qX++DenmrqXvxvSKjGYh0GSCPb14w+1BkfadvsCFC6JHYUwcb7MgpbE990tfi67YVKAWSyEFRF3dweBwCggYZpjvPvoY49DMIhxyRIMxfObA6WRNfz4nB9TmFBIt7ObW5+6lV7X9Km6dx+9m0cbH0Ujafj6hq/P25/2RmGRiJwuKNgofrZsj7lJdVbYJ3JSnbdrnxj5rLdC7vSJf7NFWBEpeZ0VkTAq1mVGumieuetw1Ba0siRBDgLZomRVX1/P2Fj0VshYUBSF+npxIS0vnywrh9WQsqSyeV0IGvf14R71YU7UU7z89JNXFzEVC1WeAdBrZT57USWvfGELWz9zLi999lzWFI77MUrMQvk44fKKuVZjIoE4OGqgv22cpBvMZhLTRbdgX0szIBTG8rL/RZK09PU9RU/vI5NfXNbA2Z9B1qroE4Uz1hsqz7zSL643BUNB8qqm8Yc0iHJDZskClmWc/UIRAVj27rieos8RxM3pFAsLkzEPjWb2gz5hQlnm8vmpIWEkGhL59ZZfk2nJpGmkiZsev4mDfdFjB/555J98b+f3ALhz1Z2syli1IMfwRmCRiJwuiBCRaRSRkE/k6MmKSHiWQMm5Mdva5oo3UhEBcQHddGMlRouOgXYHu0ID4iaiIlkY7E4ETpCXl4eqquzZEzupNhra2tpwuVyYTKaI5B5GmIjM1x9y9BVRdqvakLUY5/4WwUIFm01ERoKR/BTzFFUhrIiccHkZGRnB5/MhIaEJmGg5NHmCb1qBWL2HyzMANlsVhYUfBeDYsa/hdk9u0aXmKkgpxZgoFBfP4cO4gwp1IYPs2kSLCGGMgXDHzIImqtbdD0pAdBamV8b1FI3dgGTS4jMJ9dFsmVtZxtfcjGf/AdBo5tQtE0Zw1EdgyBOZf5OXkMddF91FrjWXDkcHNz1+E9985Zsc7DvIgHuA3T27+cRzn+C7O7+LisoNFTdwU3XsTqHTAYtXu9MFYcNq72EYi96CWhVSRI50j06WVuufED/LL1rQQ3J6A3SNiItS8RukiACYE/Sc825xcdv9RAu9LZMVocpkcYE6OniUNaEZEK+99hqBQPwjuI8ePQpAWVkZmpPimxeCiDhHvLQdFjeLyjPeeBf7IhYGE4lIMMbU2oVCiWm8NBNOVE2w2pGQaTk0eYJvan6IiLQ2Tfp7YcGHsdmWEAgMc/DQhwkGx2eyIGvgzDsx2oX3xFNXx74xFwEJrG6F1ZWxyzKu0RFGegTRzihZwIm7h/4rfk4YbjcTJElCn2PFZ+kC5t66O/KwUI0sGzegTZ1dOrfiCzL6fCtd391J13d20P391+j86ssMPdhA0OEjx5rDvy77FxcWXkhADXBP/T28+7F3s+meTdzyxC081/YcsiRzx/I7+NK6L52y7s/XC4tE5HSBJXU8TyTGtMTiVCs6jcSYJzA+JGusezwevnR+mSEnI9wxk2zRY7e8sbXJ0lXplK3JQFVUXvznsUnTNauSRSJk82gzxRXF2Gw2HA4HdXXxjb9WVZVjx4SsXFFRMeWxhSAi9Tt7UFUxaTgpY+EnGC/ijUFaWhoGgwG/3z+vDJt4UGoRpZlmt4+uHkFEsrJFlkl30yjOkXHDbHoURQRAlnUsqf0VOl0yY2N1HD7yGVR1AoGqvRZjlvh+eg7sYVuPCGvL6/NTtHQaf0hIDbFn52K0LNCiZaQDWkMKcc1Vs3qqviAhQkTm0rqrqiojD4s228TLr5jVc31tY/T8eDejT7YQHPGCRGQYn/OVLnp+shtfh4NEQyI/PPuH/PnCP7M5bzPJRlH2SjOlcXHhxdx/xf18aNmHTnsSAotE5PRCeIhTWOE4CXqtTGn6SYbV8LbZK8G2sFHhkbLM65CoGg82XluK3qiht2WMIy93Rf6eZk4jxZiCoio0jjZGVJFXXnklrqTVtrY2BgcH0Wq1lJZOXs11ObsY8g6hleZnVD0Wmtq8GGD21oIsywvqE5kOOQYdJlnCr6ocGRD+kOzcTDKKEkCFxr3jXRipBYUADLS3opyk1JhMOdTW/hxJ0tHb+xhHj31l/DzRGTFuEV4Mf+8QL3WI16kMarDaJ3fnTERk0F3J/FKHJ6HufvEzfwMkzq7V3VA4gYjMoXXXs38//tZWJLMZ25bNcT/PdbCP3t/tJzjiRWM3YL+hguyvbSDnmxtJ/UAtukwzijNA3x8O4utwIEkSazLX8LPNP+PFG15k93t289z1z/GDc34wabLu6Y5FInI6oVzMheDE8+D3RN2kKjPsEwmVJw7+R/ysvHTBD+dEXzhR9c2Rx2JJNLD2cnFyvnL/CTyh+RswuTyzatUqdDod3d3dEQPqdAh32dTW1mIwTPbYhNWQUnsphjka3vrbxxjocCBrJUpXpc9pH4t48+JU+ESiQZYkikLlmWNjIswsPT2dkhXiO3Vi73gHRlJ6JjqDkaDfz1BXx5R9JdvXU1Pz/wCJzs5/0dj448hjmrNvR2cNokgSB4PiHDsrI3HKPiYi0jFTtoD+kENiyiy1V8/6qZocLX6jKIUa/LPP6xl5SKghtvO2IJvjUzBdB/sZvPuomMJenULGJ1ZiWZGObNAgyRLGUjtpty8LDU8NMPDPIyjeySTxdO2KmQmLROR0QtZyESzkd0LLtqibhA2rR7pHYbQTmkPbzaKGGi8a32CjajTUbsohOduCx+ln50ONkb+HiciRwSNYLBbWrl0LwHPPPTdtwJnb7Y6UcFatmupKX4iyTNikWrQkdTFJ9S2IiQmr85l1FA/C5ZkWv7iBpaenU7JSdGB11g/jGhXBY5Isk5pfAEwtz4SRkX4JlRXfBKC55Te0toZmuSRkYyxIozG7ALdWRudX2VQTm0CrqkpXmIgslCIy2Aide0CSofods366J9gOkorst6C2zy79WvX7GX3sMSD+soy3cZjBfx0FBcwr00l5TxWyUTtlO9moJfWWGjSJYnjq8MMnZnVspysWicjpBEmCsgvE74cfjLpJ2LB6tGsspIaoIhDNXrDgh/NmU0RATDE+OzSh99DWDvraRImqMiWkiAwI0+nGjRsxGAz09PRw6NChmPvbs2cPgUCA9PR0cnOnZntEiEjy3IiIElSo3ymISMViWeYtiezsbGRZZmxsjOHh4VP6WuWhFt4BkxWdTkdSUhIJqSbSC2yoKjROUEWidc6cjJycd1FS/GkAjjd8m+5ucd0xrt3MziVnAlAwEiSrICHmPoa6OvA4xtDq9KQXLlA5IWxSLToHrLNvdQ9Hu+udWfhaZtfK79i2jeDwMJrUVCzrz5hx+8CAm4G/H4GgimlJKvZry5Hk2L4O2aTFfn05SODa1YP3JPP9WxGLROR0Q1jZOPRf8E4N8ArPnGkacKDsD8UeL71+wQ9DUVSa+sOKyJuHiADkVNgpXZ2OqsKrD4gLTtiwenz4OH7Fj9lsZsMG0Yn0xBNP4HROnVfjdDp56aWXADjjjDOmmMIWwqjaengQ95gfk0037YyORZy+0Ov1ZGUJknmqyzOVIUVk0JxAeno6cmgSbOkq4Q+rf23cMJsW6ZxpnnafBQW3k5d7CwCHj3yWgYGXMK4/n/3lywBY5hue1jDZeUzkjWSUlKHRLpDiFyYitdfM6enhaHe9Mwtv0+ymI488GMoOufQSJO1UVWMi1IDCwD+OoLgC6PJsJF8/PQkJw1iShDn0bzbyRPMpV9LeaCwSkdMNhWdCcjH4HHD4gSkPp9kMpFoNrJOOIPfWgdY4J+lyJnSOuPH4xbC7PPvrM+xuNjjjymJkWaK1bpDO48Pk2fKw6Wx4g15ODAtysnHjRtLT03G5XDzyyCNTSjTPPfccHo+HjIwMli9fPuU12h3twqgqaylPnltIU8MusUItXZ2B5nWc1bOI1xcLNQBvJlSEiMiQxUZq+ni5pGxNBkjQ1TDCaL/oqItHEQHR7lpW9iUyMi5HVQMcPPQRvHlQnyc6cjb1Pw5K7NbkznpBRLIrqub+xiai9wj01oGsg6q5BYm5JhCRQI9LdK/EgcDQEGPPPgtA4jveMeP2I0804+90Ipu1pL6nalZDUBPOywethK9pBG/9UNzPOx2xeOU73SBJsOK94vfdf426SVWWjds1oQmOy28E88KvtMOJqgUpltd12F28SEwzU7VRrEJfffAEsiRTnSpUi0P9ohSj1Wp5xzvegSRJHDlyZBIZeeWVVyIm1YsvvjiyspyIA31i0F1VctWcjKoBf5DG/aKToWzRpPqWxuvVOVNkMqBRFQIaLaSOd8lZ7QZyK8Ro+PqdQhWJFvUeC5IkU131A5LtGwkGXbzY/D2GrVokReWsE/+BhmdjPrezXpRDs8viCxybEWE1pOx8Mf5iDnA6hGclPGPGcyy+G/3oQw+B34+xuhpj1fTEynNsEMc2YQS2X1uOJnF21whtkhHrGWKS8NiL8x8R8GbGKbuDfPvb32bDhg2YzWaSkpJO1cu8PbH8RpC10L4TGl+c8vA5iT1s0uxHQYYNHzslhxA2qhanvnmMqidj9SVFyFqJroYRuhqGqU0R83rCRARE/f6qq65CkiT27NnDz372M/7whz/w5JMiNvqss86aMlsmjP19+wFYlrZsTsfXWjeI3xPEkmQgs3j6roNFnN4IKyK9vb243e5T9jpaWSLFIzpmRhLskx4rXysUjGM7ulFVNWrU+3SQZT1LlvwKk6mQw2oKALl9w+j7fbDrz1Gf43E6GGgX5Cu7fAGIiKpO6JaZW1lGUfyR0kxitphC7jk2GMdLqwz/R7x24rXTv3ZwzMfgvSGysz4LU3XKnI7VemYOyOBtHMHfPbV8/FbBKSMiPp+P6667jg9/+MOn6iXevrBlwKr3id+f/OJkWTQY4KoO0Wr3ivEsSJ7fIKZYCBtV32z+kImw2g2RlNI9T7VSmzqViAAsXbqUa665BqPRyMjICB0dYhWzadMmNm+OnREwXyLSsDtUllmVHlfdeBGnL6xWK8nJQpk8lT4Rv99P4qhY3fcaJpdMS1akodXJDPe46D4hfBGRhNUZyjNhaLU2qit+yTFFnEs1zn14hvRi3svI1FV713ERBJiUmYU5MWlO72nyDvfD4AnQmuacFO1yNaGqfjQaCwkVghx5GoZRo8ypmgjPwYN4jx9HMhhIvOyymNupisrgvfUoDj+6TDNJl8zdoKtNMkRIjOOVzhm2Pn1xyojI17/+de68806WLFlyql7i7Y1zvwjGJOg5BFt/NP73bT8hZWgfo6qJr3luOGUmp8b+N78iArD8vDyQoPlAP/kB0TrYMNyAOzB5VVpbW8unPvUprrvuOq666iruvPNONm3aFNOE5w64qR8UK565EJGAL0jzARG7vZgd8vbA6+ET6e/vJ9kpyixN/sk3Vr1JS+kaoYCEpzynFwoi0tvUEPdrdB1N4rBnHQCleXsYNSaAqsCev03ZNuIPKV8gf0hYDam4CAxzWwQ5nIIcWSzl6HMSkK06VG8Qb/P05amwGmK74AI0CbG7hBzbO4SnQyuT/K5KJN38brPWDaI849rTi+KJfyzF6YQ3VXHf6/UyOjo66b9FxIA5GbZ8Rfz+wnfgvg/Cf94Pz38LgG8Eb+G4J4nOkejBZ/PFid43vyICYM+0ULxMtPe1bXOSakolqAY5Onh0yrY6nY6amhqWLVtGYuL0pZLDA4cJqAHSTGlkWjJnfVwtdQP4vUGsyQaRfLmItzxeDyLS09OD3SXaUY85p577NWeJm1rD7l48Tn9kEm53Y/xEZPernXSaxPlRrj1K34UegkFgz18hOPlGGe6YWRAioijj/pCa2YeYheF0CCJitYoOFmOlUKrcB/piPkdxuRh99FEAkq6JXZbxdTgYeaJZbHdZMbqM+S/U9EWJaNNNqH4F90kzg94qeFMRke9+97skJiZG/gsbvBYRA2tuhfO+Ln4/eI9YLUgynP1ZDqWIOPgjnQtP5hzeAN2j4iJX8ibKEImFFReKG0D9zh6Wm1YDxBytHS8mlmXmMush0i2zKuMtMStiETMjTEQ6OjpmNXBxNujt7Y0oIsddXnwndYJlFCaQkmslGFA48nIXGcViZMFgZzs+t2vG/Q92OdnpcKHKEgV6iVT/IL5yhU57Kox1iRJNCEowGAkyW5COmZbtMNoOhsTxPKU5wOEUx2S1iJRXcyh51nWgD9UfvTwz+uRTKE4nurw8zGvXRN1G8QZFcmpQJKda1s1+gRINkiRhXh46xn2xydLpjFkRkc9//vNIkjTtf+EppXPBF77wBUZGRiL/neqe+7cEzvwk3HgfrL8DVt4M73scNn+JqmyxYjnavfBEpCnkD0m16kk0v/mTQDOLEskuS0IJqlR0rAdgX9++ee1zd4/oqFmevnzWz/V7gzQfFCubstWLZZm3C1JSUjCbzQSDQTo7T029v6enB5vHhQUVv6pSf5IqIkkSSzeJYL4Dz7VhtCZiS0kDVaUnDlXk0IsdNGeIc/6c1GTsh0VQYlOVnqDMJNNqf1sLfo8bvclMSu4CLCoP/Fv8rLkSdLHn2swER0QREUTEUJSIJtGA6gniPjoQ9TnD99wDQNI1VyNF6aBTVZXhBxsI9LvRJOpJvrZsQRcY5pCq6z0xTHA0vlbj0wmzIiKf+tSnOHLkyLT/FRfP3ZhjMBhISEiY9N8i4kDZeXDht+GKn0O+SPqrzDxp+N0C4kSkY+bNr4aEseICsRrlSBK6oIG9vXvn7J8JKkH29OwBYHXm6lk/v/lgPwGfQkKqkbR825yOYRGnHyRJOqXlGVVV6erqQgKqTGImyUHH1A6dinWZmBP1OIa81O/sicSud584Pu3+3WM+jmzvpDldhHhttFvJUi5AMwB+g4/2bJNo4x1qBsbLMlllFcjy7GLUp8DvGU+TXnrDnHcTCDjweISpNkxEJFkaV0V29055jruuDvfevaDTxSzLOF/rxrWnFyRIvqECeYEXaNoUE/p8G6jg2v/WU0VmRUTS0tKorKyc9j+9/q05lOd0Qzjq/cgpUETqewS5Kcs4fYhIQW0KSRlmgl6oGFhLv7uftrG5KW7Hho7h8Duw6qxU2mffknhi92JZ5u2KU0lExsbGcLlcSJLEymRx/h8cm0pENDqZZZuFQrH3qRbSQ+WZmYjIgRfaGZFVepMEEdmQZMVUuQTbo4JktBQkENAQyTcaN6ouQNtu/RPgHYWEXDFtd45whsoyen06Ot14e7N5pSAinmOD+Hsnl6iG/vFPABIuvBBt2tQ4eV+Hg+GHToS2KcRQnDTn45sO4fKM+1B01eZ0xinziLS2trJv3z5aW1sJBoPs27ePffv24XBMjSVfxMIjPPyuud+J2xc79XAuCBORiszTZzUvSVLEqLei71xQYU/vnjnta1f3LgBWZqxEM8uVns8ToDl0IVnslnn7YeIk3umGLc4FXV1irH1qairLEoRJMhoRAag9OweDWctQtwuvW5g1pyMiHoefg8+305ImSEiVxUiaXoexuhrTThltr4xfE6Qtxwh7/w5B/8J2zBwQpRGWXgdRSiPxwuEI+0MmJyHr0s0Yq1NAhbHnxxcogaEhRh95BAD7je+esj/F5WfgH0fERN2qZGxnT51HtVAwhtp4fa2jBB2+U/Y6bwROGRH5yle+wooVK/jqV7+Kw+FgxYoVrFixgl27dp2ql1zEBKRZDaRY9CjqOHFYKBwL7a884/QhIgCV67PQ6GQsoylkOArZ27t3TvvZ1SO+w6sz5laWCfoVEtNNpOadPorSIhYGWVlZaLVa3G43/f0L2wHR3d0deY0lNjGa/pDDTTBKCVJv0rLmMtG6e3y3eHy0rwfXyHDUfe94qBGvK0BXsdjvmXbx3dUXFKAxWrA+IpS9thwLQXcvozv+zUhvD5IskzXfRFXXIBx/Svw+j7IMjLfuhssyE5EQUolc+3sJhGLwR+67D9XnE4TrpDEPakBh4O6jBAc9aOwGkq+Lb47MXKFNMqDLtoAKniMzB7CdTjhlROSuu+5CVdUp/23atOlUveQiJkCSpPHyTNfClWdcvgBtg+IkPd2IiNGii5hDa7rPjPg8ZoOgEowoKXMhIuPdMumLZZm3ITQaTWSK80KXZ8KKSGZmJiVmAyZZxq0onHBFNzfWnpODPdOM16nBaBX5Ih0hFWMi+lrHqHtJhPx15IqY8jPt4tyXZBlDVRWmPTJ6JRm/DjozjLS/IIylGcWlGMzm+b2xuvtB8UPmEkifn7oSNqparFNnQ+lzbRgr7KDA4H3HUfwBhv55NwD2G2+cdL6qisrgf+rxHh9G0sukvKd6wX0h0RAON3MvEpFFnC4IG1aPdi+cInK8R5TWUq0Gki2nnx+o9hxxEygZWEH3QB89zp4ZnjEZdQN1jHhHsOlsVKXM7qLocwdoqRNlmbLVGTNsvYi3Kk6VT2SiIqKRJGqtIln14Fj0tlyNRuacd1WABH6fIOgdRw9P2sY95uPx3x1EVSF5bRotwQAycEbieD6GsboaSZFIaRXKR2ueidYW0RWUV70AgZaRKeLzU0NUVY14RMKtuycj6fISJL2Mr2mEwf/bhr+zE01iIgmXXjK+n4DC4D+P4N7XB7JEynuq0ee8PupmuDzjPT6EssAl9zcSi0TkLYxToYiMl2VOz7JCRmECafk2NKqWit51vNz58qyev61jGwBnZJ+BVp5+BPjJaNrfhxJQsWeaSc5+cyfSLuLUIUxEWlpaFmyfbreb4eFhQCgiAEttgojsjUFEAHIq7Ky7vAhZmwPAiV37I485hjw8+usDjA14SEg1om4O79dMom78ux8e/mbaqqDTJeMxahhMFepAXs3S+b2xnsNippakgSXXzWtXPl8ffv8QIGOxlEXdRptqIvGy0CC84xp0pReQeO21yEbRLuzrdND7q33CMKqRSHl3JcZye9R9nQrosixoEvWofgXfDEmwpxMWichbGGHD6pGu0QWLej9+mvpDJqL2HHHRre7ZyPaO7bN6bpiInJVz1qxfd9JsmcWyzNsWeXl5yLLMyMgIQ0MLM949nEuSlJSEySQIyOqQarFrZPqgslUXFVK0UhCG4e5m/v3tl3ni94e4+xs76WkaRW/UcOlHlrEjNKwv7A8Jw1gjplr7DtWTnSXIgrnCiYRKTsE8zZu7/yJ+Vl4KtvkFhIXLMmZzARpN7BwSy5pMjBVC7TXWXouinMngPcfo/e1+en++F3+XE9msJfV9tZhqU+d1TLOFJEkYygTx8dQvzHfnzYBFIvIWRmm6Fa0sMeoJ0LVAUe/HQqWZ06lj5mSUrclAY5RI9KbSeLiHoBKfxDnoGYwMzNuYs3FWr+lx+mk9LOq6JYvdMm9rGAwGsrNFB1dzc/OC7DM8qDHsP4FxInLI4cIVjN2hI8kSl370THRGG6DQ29jAiT29+NwB0gtsXPv51dizzGwbEouQk4mIobgYSa9HcThIlzYBErZcFzmZg+iP/mfub8rnHC/LrH7f3PcTQrgsY4lRlglDkiTcu/+G58C/gADBIT+uPb1CgZDAtCSVjDtXYSxNmvcxzQXGMBE5vkhEFnEawKDVUJImLhoLVZ45FsolOV1LMwA6vYbKdWIqb0HHMuoG6uJ63vaO7aioVNgrSDfPjkw07e9DCaokZ1tIyT59P7tFLAwKCwuBhSciOTk5kb/lGnRk6nUEVNg/TXkGQJZlCpcJP0dBrY8NV5dyxceXc81nV2HPtHDc5aXD68cgS6xJnFxWlHQ6DOUh8+fxQYKjIm01o3oQXv0NBP1ze1MH/i2yQ+xFULRpbvuYgEiiqmWqUXUivA0NOJ55Fn/T86TcnIv9unISLy4k6R0lZH5+LSk3VqGxvXH+OENpEkgQ6HG9ZVJWF4nIWxxVWQtnWO13eOkZ9SJJUJF5eqfe1p4lLthFg0vZejy+8swzLc8AcHbu2bN+vfqdwhS7GOm+CICiItE6uxBERFVV2ttFWuhEIiJJ46Rh14hzxv3kVtUC4HU2s+KCfPKqk5E14hbxzIBYgGxIsmLRTM3OMVaL8oyr7jCdu0VnjVoYQBltG49mnw2UILz8C/H7ug/NKzskDIdDjB+xWqdvJx74458AsJ23BVNVGZZVGdjOycN6RjbaRMO8j2O+0Fh06ELmWM/x4Tf2YBYIi0TkLY7KkGG1rnNk3vsKqyqFKRashtkZNd9sSM21oc8KolG1HHu1Z0YPzYh3hJc6XgLgoqKLZvVazhEvHceEjFq2ZmEGYS3i9MZC+kRGRkZwOp3IskxWVtakx9YkitbZ1+IgIgVLlgPQcbQOv2/ySvvpAXH92JISfQFirBaG1e5D+xk4LuF36lB00Jeihxe/P3tV5OgjMNgIJjusvGl2z40CRfFGht3ZbDUxt/N3djISCjBLue22eb/uqUK4PONtGH5jD2SBsEhE3uJYmiOG3x1onz8RqQtN8q3OPr3VkDDWnCuc85mtldT1T1+eebb1WfyKn9KkUsrt00u7J6NhVy+qCpnFCSSmmeZ8vIt460Cv10fUi6ampnntK1yWycjIQKebnGURMayOOlFmINvJOXlY7ckE/X46j47niYz4A+wMEZnzYxIRoYi0d7WDKqE6xP93ZSfAcKtIW40XigIv/Vj8vvY20M+/w8zhPI6q+tFqEzEac2JuN/CnP0MggHn9GZiWLEDr8SmCoVhc171N87+uvxmwSETe4qjNFV/Y9iE3A4751RMPh4lI1luDiFSvzUXRBkjypPPEKy9Nu+1jTY8BcGnxpbN+nfqdIt9hUQ1ZxESEB4SeOHFiXvuJ5g8JY4nVjEUjM+gPUhdlAN5ESJJEwdIVALQcHE8dfmFojKAKZWYDBabopQlDeTloNPRoRTdYRvo7ABhMkvDqJXj+2+Aeju8NHfoPdO0HvU0QkQXA2KgwmdtsNTE71nxtbQyFpuymfuhDC/K6pwr6/ASQITjsJTC8MI0IbyQWichbHAlGHcWpYkVxoGN+7Plw11tLEdEbtSQvESWmvt1+/Ep0+bhltIWdXTsBuKhwdmWZ4R4XvS1jSLK0OFtmEZNQUlICQGNj47zmzoSD0SZ2zIShkyU2Jgk/wQuDM/vE8kPlmZaD+yJ/e7xPXDfOi6GGAMhGI2pxEcNmQVRKl11MYsIKVFS6i3LB2QfPf2fmN+N3w7PfEL+fdSdYFqY9dswhFM8EW23Mbfp+9nPw+7Fs3IjljDMW5HVPFWSDBl3I9O5rOv3zRBaJyNsAS0OqyIG2uRMRty9IY59o3a15iygiAOdesByAnN5KHjz4aNRt/nLoL6ionJ17Nrm22eUi/P/27jw+qvpc/PjnzJptJvtK9rCLEHYqLmCpcnHDWhVrW6FIq4KVa1uF9rb0dnlpLbX2ohV+eq9rW3uLC9pSa9QWLeIFCciiAaJANrIBmUy22c75/XGSgQgJCSY5M5Pn/Xrl9ZI5Z848c0wyT77f5/t8u0ZDcsYlEeMMv060YvCMGDECu91Oe3t7sD17f3m93mAPkby8vLOeMydJL1jf0odEpKtOpP7wJ7Q2naQ9oPJGZ6HqNakJvT63ITsTFIXkuHicKalkZn4FgGPZiWgAO56AI+coDH/75+CqBOcImHXXOePtK7dbT0R6qg/p+Oij4OZ2ad+9d8BedzDZ8yNnekYSkWFgYnYCAHurm877GmW1zagapMTZSHUYXzk+ULIKkjClejBrFv75VukZPUXqWuvY9MkmAG6/8PZ+XVvTtOBqmdEzpKW76M5sNgdXz5zv9EzXLr7x8fEkJp69w+ecJP0Ph+2uVloDvffMiU1IJKNIr50q37GNt0800xZQGWG3MtnZ+54xNSb92iNU/WMlPf0qTCY7rb4a3FMWgKbCxm9CS/3ZL1D+Fmx7VP/vBWvBOjD1VKrqo6VFr3npKRGp//XDADivvjpY7xLq7AWdicgRSUREGJiUo3/DfljlOu8Oq/s660PGZTojrivozMv15XwZFeN4+dArwcc1TePhnQ/jV/1MTZ/K5LTJ/bpu/RE3roZ2LDYTBZOGtgOjCA9d0zPl5eXn9fyuNvE9jYYAFETbyImy4dU0tjWde/XMqJl6s76D//cer9Y3AXBtWkKvP/ft7maOHdcTjNRKfYTGYnGQmnolADUj8yF1LLTUwnNfBndt9wtUvA9/7mxaNv12GLuAgdLW9imq6sVsjiM6+sz71LptG61bt4LVSuo93xmw1x1stnw9wfTXtxNo8RoczecjicgwMD4zHrNJocHtOe8Oq7srmgCYnJMwcIGFiAmzcsCqktiRzlNv/jHY4GzjoY1sPrwZs2Jm5ZSV/b5u2fv6cHvBpFRsUeG93FkMjpEjRwL6yEZbW+9Nx86mqw9Jb4mIoijM7ZyeeaPx3H89j5p5EQDlB8so6Tz/mrSEXp9zaPs2NE3D2e7BXlWDv3NJcmbGlwGoP16CeuNTEJsGdXvhicthx5NwdBu8/Qt47nrwuCD3C3DFz88ZY380N+v75+iFqt0/8jSfj7oHHgQgcdEibDk5A/rag8kca8WSro9Shfu+M5KIDAPRNnOwsdnOo+fXs2BXpf684tyEgQorZNiiLYydobfcHl0ziyWvL+HWv97KT7fpRXN3T76b4rTifl3T5w0Ep2XGXZR5jrPFcJWYmEh6ero+jXfwYL+e6/P5gitmujq19uTqzvqO1+qb8J6jMDYxI4vU3Hw+LpxAm6pRGG1nsqP3aZl9/3gDgGxFXz7c/qH+4Z+Y+AVsthR8vpOcMNXB0jcgqQiaq+Gv34Wn5sM7D4GvDUbOg6+9NGBTMl1czbsBiHdOOuPYiWefxXPwIOaEBFLuunNAX3co2DtHRTySiIhwMC0vCYAPjpzo93NdbT4+bdCHdItzhm6nyaE08TL9L6HCE8WYWm3sadyDSTGxaMwilkzo/z4Xn+zU9+pwpkSRPSYy75kYGGPG6HufHDhwoF/PO3r0KIFAAIfDQVJSUq/nzk6MI9Vm4aQ/0Kei1dGzLmbPuGkAfC0ruddpmYajhzl26AAms5nRY/RVKe27dgNgMllIS9OXvNfWvQpJBXDHu/BvD0HGRD0pyZsNNz0LX/0z2HpPeM5H14iI01nc7XFvVTUN6/SalLT77sPSQ41NKAvWiYR5waokIsPEtHz9h+yD8xgR2V3VBEBecgxJsZG58iM110HmyHhMmokfOH7F6hmreXXhq/xw1g8xKf3/Mfloqz5PPm52FoopsmpqxMAaO1avUSovL8fn63sH0q4RlNGjR5+zbsusKFzbOSrySmfdR2+UmZdRm5aNKeDni4GWXs/d89brAIycNoukaXry0r57d/B4RsZ1ADQ0lOD3t+oNymZ+W09IvlMKSzbD+OsGpI37ZwUCbbS06PfJGX9qRETTNOp+9jO0jg5ipk8n/vqFA/7aQ8HWuXLGV9OC6vEbHM35k0RkmOgaEfn4WDMt/fyG7aoPKY7A+pDTTZyrj4o0lvq5qehm8pw9z7v3pqHSzbFyFyaTwrgvyLSM6F1mZiZOpxOfz8enn37ap+ecPpUzenTfOv1+OV3/Y+RvjS6afL3/DniuWS9+HHX4Yyrf+luP57W7m/nonbcBuHDefKKLi/XH9+5F8+uv4XRMJDo6F1Vtp7HxrT7FOlCam/cBKnZ7BlH2Uw0F3W+U0LJlC1itZPznT8K2AN+SYMecaAcNvEc//35iRpFEZJjIiI8iOzEaVYNdFf0bFdndWR8SiYWqpyssTsGRFEW728fH751fXweAPW9VAlA0NY3YhMhZ6iwGh6IojBun79WyZ8+ePj2nvr6epqYmLBZLcAnwuUxxxjAuNoq2gMpT1Y09nlfe1sFLdfrP/IwP3+Wjd/5Ba9PZf2ds37QRb3s7qbn55E2YhH3kSExxcWhtbXg6EyVFUUhPvxbonJ4ZQs2d9SHO0+pD/A0N1P7kJwCkLFuGvbPDbbiKhOkZSUSGken5+qjIjsN9rxMJqFqwwHVybvjNofaHyWyi+Eu5AOwqqUAN9L/bZavLw8EP9CLVSZeHTwW+MNakSfoHZVlZGe3tvbdih1PTMgUFBdhsfZsuVRSFu/P0fjZPVDX02FPkN0fqUIErkp1McsTi83Tw7h+fOeM894lGdr+uNwG7+Ku3oZhMKCYT0Z3vpe306ZnOROTEiXfxevtfp3a+XJ31IV2FqpqqUrNqNYGTJ7GPHUvyHaHdyr0vupbxeo+Gb8GqJCLDSFcisu3T431+zv4aF80dfhx2CxdESGv33oybnUm0w4r7eAeHdtT1+/l73q5E9WtkFMaTXhD590sMjMzMTFJTUwkEAnz00Ue9nqtpGnv37gX6Pi3T5drUBPKibJzwBdhQ2XDG8S0n3LzYORryvYIMLl+if1Dv/+ebVJWd2hgy4Pfz+mMP4/d5GTF2PAXF04LHoifr/XbaS0/tVxMbW4TDcQGa5qe+vuepnoGkaRou104AnE49phPPPkvr1q0odjsj1v4KUx+TuFBmy+lMRKpa0NTz6xNlNElEhpFLRulNtUormmju6FtR3Huf6EnLzMIkLObI/3ax2sxM+qI+krH9L4cJ+Po+KtLW7GXPP6oAmHJl7qDEJyKToijBUZHdp40knE1NTQ319fWYzWYmTOh575SzsZgUvl+g10r8+kgtH7hONThr9Pr5zsd6g7RvZCUz0RFD1uixXDBnHgCvPPRTKj/aS0drCyX/bx0V+/ZgjYpm3tK7utVYxEybCkDbBx90a6CYka4XrdbWbepXzOervb0Cr7cBRbHhdE6i4+OPaejsoJq+6n7snT1cwp01PQbFZkLzBvDX978XTSiI/E8WEZSTFENBSiwBVeO98r6Nimwt1+eSLyoaPp1BJ87NISbeRnNjB/veqe7z80r/fhS/VyUtz0H+xOFzv8TAmDhxIiaTicrKSiorK3s8r7S0FIDx48cTHd3/nhs3pCeyMC2BgAaL9x7mxdoTlDS6WLDzIHVeP6Ni7Pxk5KmdfOfe9i1GjB2Pp7WV//3P1Ty29Bb2b9GLThes+C4pufndrh89aRJYrfhra/Gd9j7S0q8CFFyunbS3V/U77v5qcu0AwOmcAO52qlauRPP5iLv8chIWLRr01x8qiknBlq33ifJWhmfBqiQiw8ylnaMi7x46c1j2szz+ADs6+47MHjl8PlitdjMzrtYLAHdsPkxb87nbJzfVtbFvi560zLy2MGyr8IVxnE5ncFTk3XffPes5Ho+Hffv0Le0nT+7flgNdFEXhV2NyGBcbRaPPz/KPK/j63sNUdHjJjbLx3xMKiDlt9NMeE8MNq3/KmC9cgtliAU0jOTuX6+9fw8jpZ+5Sa4qOJvrCCwFo27Ej+HiUPYPEhJkA1NX95bxi74+mpg8AiHdMperf/x3f0QqsWVlk/uLnEffzacuRRESEkUtHpwLwzqGGc+47s6uiiQ6fSkqcndHpcUMRXsgYd1EmySPi8LT6eeeF3jteaprGP54vI+BXyR2fRM743ptLCdGT2bM793k5ePCsO/Ju3boVj8dDUlLSObup9sZhMfO3qaO5Nz+dEXYrRdF2bslMomTaaEbHRp1xvjUqiqtX3s+Kp//M0v96km/8ah2FU6b3eP2YGfqxtu3buz3e1VNkKKZnXC49EeHvn9K27X2UmBiyH/9dWDYuO5dgIlIhiYgIA7MKk7GaFSpPtFNe33ujojc/0os1Lx7Ze2fFSGQym/jibeNQTAqflNZz4P2el/PuebuKmkNNWGwmLvvqmGF3r8TASUlJ4YIL9B1iN23ahN9/qt9HU1MT7733HgDz5s3D9DkbgEWZTdxXkMnOiy5g66xx/GZsLvHW3vdEslitJKRnYDKZez0vZrqeiLTu2NHtD57U1Pkoio3W1oO0tPSvk2x/eLyNtLUdBk3B+z/vADDioV8S1dnFNtLYcvVExFfXiurpfYflUCSJyDATa7dwySh9VOTVD2t6PE9VNf66V//wXXDh8GzKlZrrYNq/6U3N3n6ujMqPz1x2eGRvI1s3HgJg1nVFOFMGdp8MMfzMnz+f6OhoamtreeONN1BVlY6ODl566SX8fj95eXnBviOhKmbyZLBY8Ncc61YnYrU6SUmZA0Bt7eCNijQ16SMxlhowtSukrlyJY968QXs9o5mddszxNr2xWVX4jYpIIjIMXVesb/C2aXdNj9MzuypPcszVgcNuCU7nDEfTriqgaEoaakDjr4/tYfebFfi8Abwdfkr/fpS/rd+LpunLfidenm10uCICOBwOrrnmGgC2b9/O+vXrWb9+PRUVFdjtdhYsWBDyo26mmBiii/V6l9atW7sd62puVlf3GprW/149fdFY8XcA7GUKzquuIvnb3xqU1wkl4VwnIonIMPSl8enE2MxUnGijtLN9+2e99uGx4LlR1t6HYSOZyaTwpSXjyZ+YQsCvsnVjOU+sfIcn732XbS9/ghrQGDktTaZkxIAaP3481113HTabLdhFNSYmhsWLF5Oenm50eH0Sd/ElALT8q3sikpI8F7M5jg5PDS5X6YC/bqClhcZKPRFxtBdEZHHq2QT7iYRhItL7hKCISDE2C1dekMHLu6rZuLOSqXndi7favQFe65y2uWri8JyWOZ3ZamLBnRfy0b9q+GDzEVpOegBwJEcxbUE+4y7KHBa/6MTQmjx5MoWFhXzyySdER0eTl5dHTMzA7047WGIvuZiGRx6hbds2NK8XpbN5mNkcRVrqlRyrfZHauk0kJEw7x5X6TgsEOPKTFfgX+MAPRd/bgCnqzOLbSNRVJyKJiAgbi6bndCYiVdw1ZyQ5Sad+wf3+/45yvNVLTlL0sJ6WOZ2iKFxwyQjGX5x1KhFJGh6/4IRx4uPjmTJlitFhnJeoceMwJyUROHGCtt27iZ0xI3gsPeNajtW+SF3dZkaP+hEm08B0OG145LecbNILep1R44nK6ts+PJHAOiIOTKA2e/G7PFjiw2efK5maGaZmFiZz8cgUfAGN3751KPh4uzfA+i36DqAr5o7EOgy6qfaHoig4kqIkCRHiHBSTidiL9eXIrZ/pi5KU+AVsthT8/iZOnPjXgLye69VXOf7EE3jG6nUnKTlXDMh1w4XJZsaaHguAtyK89p2RT5lh7HtX6kvZXiqt4i97agioGqtf2kNji4fsxGi+PEWKL4UQ5y/u0ssAcL/5VrfCeEUxk552NTAwO/K2f/ghx/7jR2gWDe8kfaA/KfnSz33dcBOu0zOSiAxjxTkJ3DIjF1WD7/xxF/Me3sIru2uwmBR+dt0EGQ0RQnwucXMuQ7Fa8R4+jLe8vNuxruZmDQ1v4ve3nu3pfeKrraVyxQo0rxfTjRNRzT5stjScjgs/V+zhKFxXzsgnzTD384UTuHlaDqoGhxtbMZsUfrtoMnPHphkdmhAizJnj4ojt7Bbb/MYb3Y45HBcSHZ2PqrZTX7/5vK6vtrdTtXwFgYZG7KNGod2gb2SXknI5ijL8Pt66EhFfdXjtxDv8/k+JbswmhQdvuJBXls/m2W/OYMv358hKGSHEgHFcoddquP/ePRFRFIURWTcBUF3zQr+vq2kax374H3Ts3485IYERv3uM464tAKSmRG7zst5YUmNQbGY0rxpWO/FKIiJQFIXinAQuHZ1KdmL4LA8UQoQ+x+VzwWLBc/Agns9Mz2Rm3oCiWGlu3o3b/XG/rnt8wwaaN28Gi4UR//VbPPEn8XhqMZtjSEy8aCDfQtjQd+LV9wULp+kZSUSEEEIMGnNCAnGX6oWjTRtf7HbMZkshNfVLAFTX/LHP12wuKaHhkd8CkPGjHxE7Ywa1da8BkJw8B7M5fJauDjRrV51IGLV6l0RECCHEoEr4ylcAcL3yCqrX2+3YiKxFABw79hI+n+uc1+o4cICa+1cBkPi1r5F4802oqp+6ztU3GRkLBzDy8CMjIkIIIcRnxF16CZa0NAJNTbS8+Wa3Y4mJFxEXOwZVbafmHLUi/uPHqbrzLrS2NmIv+gLpq+4H4OTJrXi9jVitSSQnDb9lu6cLFqzWtqH5wmMnXklEhBBCDCrFYiH+hi8DcOKZZz/TU0QhJ/ebAFRWPYuq+s56DbWjg6q7v4OvpgZrXi4jHn4YxaL3DDlW+zIA6elXYTJZB/OthDxzvB1TnBVUDW/N+S+LHkqSiAghhBh0ibfcgmK30/7hh7R+ZiO8jPRrsNlS8Hhqqe1MKk6nBQLUfP8+2ktLMTmd5Pzud5gTEgDweOqor38dgMyMGwb9fYQ6RVHCrp+IJCJCCCEGnTUtjcRFej1I46OPdhsVMZns5OV+C4DDRx5FVU/VkWiaRt0DD+IuKUGxWsl+dB32oqLg8cqq59A0Hwnx03E6h18Ts7OxZYdXwaokIkIIIYZE8u1Lg6Miza92b+0+YsSt2GxpdHRUU1Pzv8HHjz/5JCeffx6ArF8+2G3zvECgjerqPwCQ2zm9I06rE5ERESGEEOIUS2oqKXfeCUDtz3+Br7Y2eMxsjiI//y4APj38CF7vCRrXb6Dh1w8DkHb//TgXLOh2vYqK/8bvdxEdnUtKyheH6F2Evq6VM/7jHahtZ6+5CSWSiAghhBgyybcvJWriRFS3W2/P3tQUPDYiaxFxcWPx+U6y58830fDIIwCkrFhB0uLbul2no6OGI0fXA1BYeC+KYh6qtxDyTDFWLMn6DuHeqhaDozk3SUSEEEIMGcViIeuXD2JOTKRj/36Ofv0btO3YoR/za+S6F4IGrszDtE9RSbvvPlJXLEdRlOA1NE3j4MGfoqodJMRPD+7kK06xhlHBqsXoAIQQQgwv9oICcp95mopvLsVz6BBHv/4NTLGxaIEAWkcHsdebaP2Siut2E9ZpU894/uEjj9LQWIKiWBg9+kfdkhShs2U7aN/dEBYFqzIiIoQQYshFjR5NwYsvkrDoZrBaUVtb0To6MCclUZC8jCTnbFS87Cz9KjU1f0ZVPQQCbRw89AsOH34EgDFjforDcYGxbyREnb6E9/QVSqFI0UI4wubmZuLj43G5XDidTqPDEUIIMQjUtjZ8tXUA2AryURQFv9/N3r0rOHHyXwCYTFGdy3pVAPLz7qSo6HtGhRzyNF+A6jXbQNXIWDUDS8LQ7r/Tn89vGRERQghhKFNMDPbCAuyFBcFpFovFQXHx/1BU+F1stlRUtQNQiYrKZtLEJyUJOQfFasaaGQuEfp2I1IgIIYQISYpiJj//LvLy7qC1tRyrNQGbLVVqQvrIlh2Hr7oFb5WbmAtTjA6nRzIiIoQQIqQpiom4uNHY7WmShPRDV4fVUG9sJomIEEIIEYGCBatVLWhqyJaDSiIihBBCRCJLWgyKzYzmDeCvbzM6nB5JIiKEEEJEIMWkYMvR2717jjYbHE3PJBERQgghIpQtT18665VERAghhBBDzZ4fD4DniCQiQgghhBhitlwHKBA40UHA7TU6nLOSREQIIYSIUKYoC9Z0vbFZqI6KSCIihBBCRDBbfmjXiUgiIoQQQkQwe2fBaqiunJFERAghhIhgXSMivuoWVG/A4GjOJImIEEIIEcHMCXbMThuoWkhugCeJiBBCCBHBFEUJ6ToRSUSEEEKICBfKjc0kERFCCCEi3KmCVXfIbYAniYgQQggR4ayZcSg2E1qHH19daG2AJ4mIEEIIEeEUs4Ktq937J03GBvMZkogIIYQQw0DUyAQAPOVNhsbxWYOWiBw5coSlS5dSUFBAdHQ0RUVFrFmzBq83NHvdCyGEEJHM3pWIfNqEFlCNDeY0lsG6cFlZGaqqsmHDBkaOHMm+fftYtmwZra2trF27drBeVgghhBBnYc2IxRRrQW314610B3fmNdqgJSLz589n/vz5wX8XFhZy4MABHn/8cUlEhBBCiCGmmBTsRQm072nEU94UMonIkNaIuFwukpKSejzu8Xhobm7u9iWEEEKIgdE1PdNx8KSxgZxmyBKR8vJy1q1bx7e//e0ez3nggQeIj48PfuXk5AxVeEIIIUTEix6jDwZ4K90E3KFRs9nvRGTVqlUoitLrV1lZWbfnVFdXM3/+fG688UaWLVvW47VXr16Ny+UKflVWVvb/HQkhhBDirMzxdqwj4kCDjrITRocDgKJpWr9arDU0NHD8+PFezyksLMRmswFQU1PDnDlzmDVrFk8//TQmU99zn+bmZuLj43G5XDidzv6EKYQQQoizaH7zKM1vVhA1PpmUb4wfnNfox+d3v4tVU1NTSU1N7dO51dXVzJ07l6lTp/LUU0/1KwkRQgghxMCLGpdM85sVeA6dRPMFUKxmQ+MZtMygurqaOXPmkJuby9q1a2loaKC2tpba2trBekkhhBBCnIM1KxZzvB3Np9JeZnzR6qAt3y0pKaG8vJzy8nKys7O7HevnbJAQQgghBoiiKMQUp+LeUkVbaR0xF6YYGs+gjYgsXrwYTdPO+iWEEEII48RMSQOg48BJAi3Grp6Rog0hhBBimLGmx+qrZ1SN9g8bDI1FEhEhhBBiGOoaFWndVW9oHINWIyKEEEKI0BUzKRVvhZuYKWlomoaiKIbEIYmIEEIIMQyZ42wk3zLW6DBkakYIIYQQxpFERAghhBCGkURECCGEEIaRREQIIYQQhpFERAghhBCGkURECCGEEIaRREQIIYQQhpFERAghhBCGkURECCGEEIaRREQIIYQQhpFERAghhBCGkURECCGEEIaRREQIIYQQhgnp3Xc1TQOgubnZ4EiEEEII0Vddn9tdn+O9CelExO12A5CTk2NwJEIIIYToL7fbTXx8fK/nKFpf0hWDqKpKTU0NDocDRVGMDsdwzc3N5OTkUFlZidPpNDqciCX3eWjIfR4acp+HjtzrUzRNw+12k5WVhcnUexVISI+ImEwmsrOzjQ4j5DidzmH/TT4U5D4PDbnPQ0Pu89CRe60710hIFylWFUIIIYRhJBERQgghhGEkEQkjdrudNWvWYLfbjQ4losl9Hhpyn4eG3OehI/f6/IR0saoQQgghIpuMiAghhBDCMJKICCGEEMIwkogIIYQQwjCSiAghhBDCMJKIhDmPx0NxcTGKorB7926jw4koR44cYenSpRQUFBAdHU1RURFr1qzB6/UaHVpEeOyxx8jPzycqKoqZM2eyfft2o0OKKA888ADTp0/H4XCQlpbGwoULOXDggNFhRbwHH3wQRVFYuXKl0aGEDUlEwtx9991HVlaW0WFEpLKyMlRVZcOGDezfv5/f/OY3rF+/nh/84AdGhxb2/vSnP3HvvfeyZs0aSktLmTRpEldeeSX19fVGhxYxtmzZwvLly3n//fcpKSnB5/NxxRVX0NraanRoEWvHjh1s2LCBiRMnGh1KeNFE2Nq8ebM2duxYbf/+/Rqg7dq1y+iQIt5DDz2kFRQUGB1G2JsxY4a2fPny4L8DgYCWlZWlPfDAAwZGFdnq6+s1QNuyZYvRoUQkt9utjRo1SispKdEuu+wy7Z577jE6pLAhIyJhqq6ujmXLlvHcc88RExNjdDjDhsvlIikpyegwwprX62Xnzp3Mmzcv+JjJZGLevHls27bNwMgim8vlApDv30GyfPlyrrrqqm7f16JvQnrTO3F2mqaxePFi7rjjDqZNm8aRI0eMDmlYKC8vZ926daxdu9boUMJaY2MjgUCA9PT0bo+np6dTVlZmUFSRTVVVVq5cyezZs5kwYYLR4UScF154gdLSUnbs2GF0KGFJRkRCyKpVq1AUpdevsrIy1q1bh9vtZvXq1UaHHJb6ep9PV11dzfz587nxxhtZtmyZQZELcX6WL1/Ovn37eOGFF4wOJeJUVlZyzz338Pvf/56oqCijwwlL0uI9hDQ0NHD8+PFezyksLOSmm27itddeQ1GU4OOBQACz2cytt97KM888M9ihhrW+3mebzQZATU0Nc+bMYdasWTz99NOYTJK/fx5er5eYmBg2btzIwoULg4/fdtttNDU1sWnTJuOCi0ArVqxg06ZNvPPOOxQUFBgdTsR55ZVXuP766zGbzcHHAoEAiqJgMpnweDzdjokzSSIShioqKmhubg7+u6amhiuvvJKNGzcyc+ZMsrOzDYwuslRXVzN37lymTp3K888/L79QBsjMmTOZMWMG69atA/Spg9zcXFasWMGqVasMji4yaJrG3Xffzcsvv8w///lPRo0aZXRIEcntdnP06NFujy1ZsoSxY8dy//33y1RYH0iNSBjKzc3t9u+4uDgAioqKJAkZQNXV1cyZM4e8vDzWrl1LQ0ND8FhGRoaBkYW/e++9l9tuu41p06YxY8YMHnnkEVpbW1myZInRoUWM5cuX84c//IFNmzbhcDiora0FID4+nujoaIOjixwOh+OMZCM2Npbk5GRJQvpIEhEhelBSUkJ5eTnl5eVnJHgykPj53HzzzTQ0NPDjH/+Y2tpaiouLef31188oYBXn7/HHHwdgzpw53R5/6qmnWLx48dAHJEQPZGpGCCGEEIaRqjshhBBCGEYSESGEEEIYRhIRIYQQQhhGEhEhhBBCGEYSESGEEEIYRhIRIYQQQhhGEhEhhBBCGEYSESGEEEIYRhIRIYQQQhhGEhEhhBBCGEYSESGEEEIYRhIRIYQQQhjm/wNohQL3vcO55QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train = np.array([-0.5, .1,  .4,  0.5,  0.75])    # training inputs\n",
    "y_train = np.array([  0,   1, .25,  .33,   0.5])    # training outputs\n",
    "\n",
    "σ = 0.5\n",
    "μ, Σ = predict(x_train, y_train, x_plot, σ) # mean and covariance of posterior GP\n",
    "\n",
    "for i in range(10):\n",
    "    y = np.random.multivariate_normal(μ, Σ)\n",
    "    plt.plot(x_plot, y)\n",
    "    \n",
    "plt.plot(x_train, y_train, 'r.', markersize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "2f59eaab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stds = np.sqrt(np.diag(Σ))\n",
    "plt.plot(x_plot, μ)\n",
    "plt.fill_between(x_plot, μ-stds, μ+stds, alpha=0.25)\n",
    "plt.plot(x_train, y_train, 'r.', markersize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2f458fa1",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_test = np.linspace(-2, 2, 20)\n",
    "x = np.concatenate([x_train, x_test])\n",
    "plt.imshow(K(x, x))\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "229c4bf1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
