step5.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "#Step 5\n",
    "Optimization with uncertain graph weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import copy\n",
    "\n",
    "import Code.utils as utils\n",
    "import Code.environment.settings as settings\n",
    "from Code.environment.Environment import Environment\n",
    "from Code.GreedyLearner import GreedyLearner\n",
    "from Code.environment.Customer import Customer\n",
    "from Code.UCBLearner import UCBLearner\n",
    "from Code.TSLearner import TSLearner\n",
    "from Code.UCBLearner4 import UCBLearner4\n",
    "from Code.TSLearner4 import TSLearner4\n",
    "from Code.UCBLearner5 import UCBLearner5\n",
    "from Code.TSLearner5 import TSLearner5\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "\n",
      " [2, 3, 1, 1, 2] 6261.759007130805 41.7450600475387\n"
     ]
    }
   ],
   "source": [
    "cust_json = \"customer3.json\"\n",
    "today_customer = 150\n",
    "var_cust = 10\n",
    "p_lambda = 1.0\n",
    "graph_json = \"business_full_graph2.json\"\n",
    "\n",
    "arms = settings.prices\n",
    "environment = Environment(cust_json,today_customer,var_cust,p_lambda, graph_json, arms)\n",
    "clairvoyant_arms, clairvoyant_reward, exp_c, rew_per_arm= environment.estimate_clairvoyant()\n",
    "print(\"\\n\", clairvoyant_arms, clairvoyant_reward, exp_c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "n_arms = 4\n",
    "n_products = 5 \n",
    "\n",
    "feature1 = 0\n",
    "feature2 = 0\n",
    "\n",
    "customer = Customer(feature1, feature2)\n",
    "\n",
    "TIME_HORIZON = 300\n",
    "NUM_ITERATION = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "#unknown param\n",
    "\n",
    "customers = copy.deepcopy(environment.customers)\n",
    "for customer in customers:\n",
    "    customer.set_probability_buy(np.ones_like(customer.get_buy_distribution()))\n",
    "    customer.set_probability_click(np.ones((n_products,n_products)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "UCB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "data": {
      "text/plain": [
       "(5, 300)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards_iterations = []\n",
    "for i in range(NUM_ITERATION):\n",
    "    ucb5_learner = UCBLearner5(n_arms, n_products, customers, graph_json, arms, environment.customers_distribution)\n",
    "    print('Iteration #', i+1)\n",
    "    for t in range(TIME_HORIZON):\n",
    "        if t % 10 == 0:\n",
    "            utils.progress_bar(t, TIME_HORIZON)\n",
    "        super_arm = ucb5_learner.select_superarm()\n",
    "        report = environment.round(super_arm)\n",
    "        ucb5_learner.update(super_arm.copy(), report)\n",
    "    rewards = ucb5_learner.history_rewards\n",
    "    rewards_iterations.append(np.array(rewards))\n",
    "rewards_iterations = np.array(rewards_iterations)\n",
    "rewards_iterations.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "mean = np.mean(rewards_iterations, axis=0)\n",
    "stdev = np.std(rewards_iterations, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean)), mean)\n",
    "plt.fill_between(range(len(mean)), (mean-stdev), (mean+stdev), color='b', alpha=.1)\n",
    "\n",
    "plt.plot([_ for _ in range(len(rewards))], [clairvoyant_reward for _ in range(len(rewards))])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JPTsc5ndTG02k92wh9WkT+nNZ+zlI49sKauMxbeF4t5Cm0mJoYUndiE4gu2WlN8R8m0jdRT8s1NH3feVx/NIn71O55tsNlMuyIlDusG69WjXx95PUp5nSRtebFuL4cGg/u4GDpKlb83szHIJlCVkm55WFJXUjSFPPAMy2PHWMR7+furyBJM2QpGlpcxZgMk1diHLxmcOwyBwGTZ3uf5Cuw3EY3vNu4CAR6WEgq/3GYdHUAVt+mLBjUhdCXCeE+IQQ4gEhxP1CiL+TH18WQnxUCPFI/v8SO+cdQohHhRAPCSHexI6/Qghxb/7drwgxSfjZ9NDKSR2AZn6XoybNMjx+eQMAEGo7q23H/J6Spn7Ad2mjZzMV26ki+v3U1A/q9Q7TQjltHBRCB6ZvzXk24jCN1f1WIg4KpqGpxwD+zyzLXgDgVQB+RghxB4CfA3BXlmW3Abgr/4z8u7cCeCGANwP4VSEEseivAXg7gNvyf2+eQvsmBpnfgYLUZwMPm3kt+PMbffRygtdJfTt56nFDTT2Ogc3N8dffD1QR/X5MsirhYyfXm/bC9lxcfPZzTFhsH4fhfU17zh9m7JjUsyw7m2XZl/O/NwA8AOBaAG8B8J78Z+8B8AP5328B8L4sy4ZZlj0O4FEArxRCXA1gPsuyz2VZlgF4LztnT0HR70BB6oudFjbDGFGS4tSlDfX9MDZv8lKH0ejxZj71KJreHuE7gYnAn83m92k/Q5Y1MxUehsV0OzgoC6/V1MfjMBGlFRglpupTF0LcCOBlAL4A4ESWZWcBSfwAjuc/uxbA0+y00/mxa/O/9eN7jq6B1Je6AQBgtR/iscsFqW8nt7wy+n3MtZJkf4NB6iZNlaa+HwvCTjTCwcB8fNrm9yZtW1l5dkX02kX3cOIwkDqtNYehrbuNqZG6EGIWwO8B+LtZltUl7JgM1FnNcdO93i6EuFsIcffFixcnb+wYeI6Ak7dmrk2aekHqpzipJ6NpaBOntKno93rze5IcjEHb1Kdu+u1egNoy6b2TBLh0qfp600STtsXxs5MED8IYBnavHVG0O9fdDxwmQWy/LYMHBVMhdSGED0nov5Vl2Qfyw+dzkzry/y/kx08DuI6dfhLAM/nxk4bjI8iy7F1Zlt2ZZdmdx44dm8YjlOA4AoErtfVZ0tQ7LQDAlf4Qj13egJezfqjZUZtMAr0CXVNNfb/3oj4smjpQzkZoijSVC3LT6P7toulCuZ8V+XYTB4XUgd1py8rKs4fYD5P53WrqEtOIfhcA/guAB7Is+2X21YcAvC3/+20APsiOv1UI0RJC3AQZEPfF3ES/IYR4VX7NH2fn7CmEKErFFj71QlM/vbaFG5ZmAYya35sEynFSzzIW/T5mP/WmC8WVK7trpm+qqe+n+R3YnqZusobshgbQpG3PNlI/aIFyuzU2n23EclDeVx1ordmN+JfD8Pwc09DUXwvgrwL4TiHEV/N/3w3gXwH4LiHEIwC+K/+MLMvuB/B+AN8A8BEAP5NlGam7PwXg3ZDBc6cAfHgK7ZsYQgCBK7tmXmnqktSfWNnEME5x/dKM/K2bYmamfP4kmroQnNTrK8pVaZE6BoO9z9nUB/92iXXabZlkQlLMgqnN05zYTa81CakfpmI2B2WR3C2hc6+FsSjavawYIsqD8s7qsBvvc2tLlhM+TPB2eoEsyz4Dsz8cAF5fcc47AbzTcPxuAC/aaZt2CiGAljK/yy6aa/twhcCDF9YAANctSiaP0mSk8EwTUudoan6PIsD3x7e/iph2iiqTOp/43AKxk0nW7wOdzvbbytvRtNpBmlb33X7kvU9CDisrwPHjgOuO/+1+YidjIkmm+3y7RVR7LchShcLZ2b2970HCblmBmmaqHCTYinIVCDTzuyMEFjoBHjwvSZ3M78O4mfl9c7OsvZZ86sz8XrUg0OBqMmhNAVa93nQkzknLAW1ngcsyGbC23clkshg0QRiaFwb9GaJoZ+6NJmbCSc2Jh2Hh2Y71hOPixek+524FVu2H22S33v9h09Sn7XY8jK4US+oGCAG0Pdk1ROqANMGvDmSOEWnqTfLU01TuIEQDpEpTT2pGEPl6m5I6v1QUAadPTy/H3fR8JvP7drWyOJYEuxNS347kTjELaSo1H77pCr/O1lZ16lsT7AapH6bI3+22czfI8tngg93N2JVJSD2KdjYvpoHd6IfDRuyW1A2QPnUXHd+F5xZdRMFyLc/Bsdk2gNGKciYMh4UWCIxq6uRTj2qulSTNq9XpC/zly8398eOubWqDiUDpt9sl9eFwZ5NJiMmtClEko+YpCn44ND/bNFLNxi2Uk5A6Rf0edFLfqUtm2imdu+mi2st3sRsa6nYQhtIiuB+g9WbaFovDGFFvSd0Ain7nWjoALHVlWttVcx0VHa+ntJmIbDAop6Pp5Mg3dKkaQPzcOtAg5JO81wPa7ekMTtPzVbWJdrCbFGEoSXW77d2u+T2KpM/WFAWvk/pO0OS5JiGH3Yr83S0cJE19N8r/7sd7OAiaOrC/biDH2R1SP2zYcaDcsxFCAFfPdpGi/EZJUz8x11HR8aHBp64PBIpMNWnqWZapCjtJllYOyqaDVdeGkkSSVRA0O3/ctevuOS1NfTAoNObttpPu33QxIm3H88oBc/ydEaahMeqBhVXfTyIAHBZsp627IbjsRp/th4C1m8FckwqX+0Xq1D6rqVtSr8TffNUd6M6URzKltV0110GQ+9zHmd/TVPqyfb9MEBQxn7Dc9DhNK/3eSdKM6GhBIW2S/MTbJVgdVZq6aeJvpwAMUPTXuAlKE84zjGIe/U6/rTPJ0zMJIfuOa+P6OXupqTf97WHQ1E0CEv9uOJQWpbrz9yMLYRIcZE29ToisO2eS3+6nG2A3NPXdjFfYLVjzuwFCyGh3T2OlJaape44DV4iRQDmd9IhU+eDgmnrKZk2SZZX5xmHYLJ1HJ4Momnwi11276fG6BXzcPcJQkvq4uuf9vjmi32R+X1sDVlerr0WLgeMUgXpVboadaupNtJ9J+m8//LjbheOMtjNNgXPngGeM9SMldkNw2S2f+n5o6k2e5dKlyUn3uW5+PwxzSocldQOqSHCRaeqADJgzaep8IHANkB+neyTsYJymSFPzwAzDZpo6SeM0eXs9KQxMS1Pn99H/Nk2ASe9JQhCR67g21BWK0f3gV65UT1K6Dt2XfPrTeKaq9o37zaSa+kFH1TgZDKTAVfe+m5LlJBHYu2Fa3S8Bq0nf7PbeEVVr115gu0rEOBxG87sldQOqSP3G5Tl4jsDzjs0DkBHyJp86X5xMwVZVmnqc5AFzhsWNgrjGga5N9+31pNY7bVLX71nlU6e/J7kWsDNSJ3BBKo5lX9S5N+icKDIvTvSMO10cm2g/k8QkHBbzO2COc8iy5laocaSxnxHYwP4IWE216e2MkaYBuvTb/SRAUnqmbc2xpP4sxo3Ls/j4T70ZtxzNSd1zRqLffb9MHHqAFR0zaepUR95U4z2Oi4VvHBmQGYpSs0w+5+3ApJ0TdEGo7rdN7tGE1IF6TZ3/HccyWHBtbfx9SePQF0uuhTV9pp1G8D8bSb0ue6LOxdOEMJsGa+2WNl1ntdpNNCX1STEJqdPv9zum4KDMA8ri2WtYUjegKhcbQClvPXBHze+uW/bHEoFXSZFpKVAug+OM1vEmaXGSzWKImOh+u62pA5P53OuuxQWTcb9tSuqUAVDlp6dF0eTiKNUUSCdbuK5cGTUH74amfhgwrp11fTJtUifshvn92aSpA5OVWd5P4XI7lsFx2Imm3u/vTzEeS+oV4AE9USQXZx2BN2p+BwoTLiA1RMcpFmh9wJV86kkK1x0dCHyRGjd5KbKecq2nFSRH9zb9Pe77STV1ilIfZ+ZuMuG4pk456FXX4n1VpVFOunBVmfLHYVrm9yybXiXBaaBOU28yVpv05X5r6vvhU29yz+3k+dO8mCQOZBrPnqbbi6SftlC1E1LfL9O9JfUKcFKvejGB62BYsYLQgIxjZmo3TCryqQeugyhN4fujmrqucdeBJiEJFvy83VpoxlkRtmN+B5qRmul73h5OeK5bvVCYYgBMC9Sk5lVTEZ0mJk1qzyS+TNNvk6Q+6n8vobsyqn5Td24T6w1/x1lWTw7PJU19O4Q7yXjnQu9OMRgATz/dXCDm6960NfWdYD9S/CypNwBf8DlanmPU1B2n0LZJUyfteURTz83vgecgTjJjqcNJNG4SIrJsuulsOnZLU+dCELA9TV0XMkyf684hAUAHFxCaTnaTxtFE+yGLS1NSryPDg7TZi2k8NnEtNY0x0MfEYGCOo9htTX0/NLTdML9XrX11159Gv2aZLNp1/vzOrzWNtmwHVlM/YOCLbtXADlzXuKGL5xURuETIVeZ3qifXcl3EaWr8XV1gkQ4usQ6HBTlNw6depcGaNE+dJJuCyEy/dtVv665Nz6wH0Ywj9TSV/aZfn86dRFCiin6TgooNNSX1KiHhoJE6YVJNHWgePKm/s7rnb9K/k/rot1t0abtoGqOx25q6fs5OkGVAq9V8n/jdCpTbqYBmSf0AgS+o1aRuzlPnJnRanHlEOmEYJ0pTb3mu2k9dX6CbFp4ByprucGgmyJ1K06a+mJb5XZ8E4xZk07W5YKOTeh35EWZn5YJSdU9TO7PMnEqVpqOk3sT83rSCIF2vTmjbz+AljirrDRdK6si+qTtGTymtCqZsGng6ibY47l3sFprM6bq4C1PMEGES4ZL/Py00vd5uBcqNQ9X9thsXsFNYUq+ATuom6TuoML/z6HNanMmsTiR16tI63vAf/xiPX5El0VqegzQrzPE6qfP7NzHbAvJeXFMnrK5uLypztzT1LJMVxcj/Se13nPogrzpSB8ykzr/Xj1F7Pa+crcCfu8oVUuW7rprYTWIjqtpq+m2VdshdBvuN1X6Ip9eqVa9xgmETf2nVOzNdrwmaLMwrK+X3tR+a+ri+qXMLpGl1bv8kBN1EWG2K7brvpo1xJvTBoF4gspr6AYJufjdJq4HrjuSpc9CmIDyAg37+lTMrSNIM5zZ76loAlLZeR+p14BOczMgc1IadmGRNi2+dVjluUsaxJG+aQHT9dlv6Q+sk4SotrO43TfzwHPw4CR0mTV3vU7q3fryJSZOTQxMiq9IOt2t23Q3858+cws995AsAticANjG/66Retyg31fzHCUX9/mgNioPoUweqx35Vv26HqHdTU798uV6QB7Y31psoHiYkSXWarGnu7wUsqVdAX+BNknBQUSaWoEefU01xxwEeviijd8gn3/ZzUk9GSZ0XntG/08EtA1UmxmnVLuef9ftMoqlHUbHfPD+PFvEqq8I40yoXpCYJlNOvxf8mQUl/JrIy6L+nZ9BJzCSkbdfSQder6ouDoqlvDCJsDKNKIWOcptnkdzQmqC94cOraWmH5mURTH5cKFsfmwlJVuHJlNMNlJ5iGpl63HkwSKDet6HMu+HLBotdr9pyTIAylsFDVhjqMs+RYTf0AQdfMTYO15bkYGszvBB59Tv9HEZH6OoCC1Ft5UZtIM7/TjmGTaupVoEmy3dxpoNqnzgfwJJLzcFjkc+vP6nnmTVv4tfXr64RIfW5qm+kc/fr8PtQ+E6nri6PJRWG6NoFvuLEdUq8iyqpFu07L2A3EaYYwSY0CIFBPCJOYY/mY4IRMljPCtDR1ft0mmrrejmmhCdlVabmmZ+TzfRI30DSeTRfM6fpVAha3iE6KNDUHszYZc+OsHJbUDxCqFm6OljtaJpZgKiIDyGMpUjx+WfoWFal7hfmdS6eDwehArVv4dHO/CTsN4NAXh3ES+rhFmGtPutavl93l0E2tOlxXnqsLV9shdR4ZX1VARV9wqoScqnvxnPZJSb0uALCKlIZDYH29/trTRJxkSLMMST7GTag7XqdtEurM79xCNammXgfuzqoTsPg1p4lJTP5VY79J/n8TNM1QmAT8/TUpoDOppk6Cv+n4uGuNE9D2w0pmSb0CTTR1CpTLDG/NVO6VNL2n1zdVnfeBRuqRZn5fXZXE1gS8Ga5bnWsNbL9aE1CtqZuI3nXHb7AxGEiNnBZdfv26crFVpE7X8H157X6/6IuqRaeO1Lm2XmU10c2+9Hv+venaHNxMz4l6t8zvOxHuxpGrCRQEOoxT41gZhybFRXSC489ucjuN61++B4AJdD5ZPJqQ+nZMxHUgQbjufexUU2+CaWrqJqGWhI9xc8k0r+rcHTSvTRgnWJMl1YQmVp7dgCX1hjCSuusigzQr6qCSpLpgkKbAqcuFejTMSdzPmSJJs5IvuNeTNcs56jRwQrsNdLuj5+3E/K5fh9+3alEJAmBrq/pa3OROk0An9boqcCbwa7Tbsg+JiCm2wXStKlLnx6vyx+l9mUidvqtrM1AmdX7fcYvCuPS3qoVlJwGT/X591K8JFARaF1y6U/M77z/AXPiHf98kC6GOhOk73W1SR2zbKddahyybLP1RR938aiIw6O1oIihOstkJF9D0+BR+76r5MhzWr0EmK5t+nTpSbzI+9hKW1Cuga2Om4Kgg94OHhgI0ROom0/kjF9dBh8n87mSjmjoFj1WZavW1cVzwDTch1y3mUVQ/4aoWwipNPYrME/3KFVkKkp6x7p510nndZAwCKdxMU1MfV21Ob0ddZLp+H11Tb5pLXfdOqhaWnfh207R5YRB1v1z4DROzpt7EZG2yEKRpIWDQWDKZ3/nfTRdbCnadRFNvmq44LTQhdS7Q66h7xklzv5sKAP1+vQWPj38uMG1X861bW0wCOR0fByL1KreGJfUDBF0bM5K6J7tvaIiAr1uk1gch5tvSpk6k7ucCQswC5UwLBA2Sra1RX/PmZn2Rmqaa+mBQXUhFn+ScuPSFmkMPyMqyIuJ0Zkb293ZI3dTPuiDUbhd/U70A0/Wr+pqOkzRf51M3+dH5PevIgS9Y2/Gp1y0sVRraTgiGp3I1AZnfw9jsUx9H7FXm9zQt5oLJ/G76+8LGAL9w193YCqPaezaxsHCBtIlmO22TbJN71v2mat41tY4QyPzeZEykaX2QJt2PCyt1rhAuBFTNzbp7jXPNVD1/03m9l7CkXoEmpN7KGbQqrY0GOYcQ8vczQZnU6Vrka68aDJxg9N3bNjaqK6Hxc7m5sKrdkw5E02Si+1HAGkcYyvYHQZGCNymp66ZUfrxKWzItOlUTUieQuhr8JvLkCxNf9E33JUHLJNk3MTePI/Vpa+pZVqQiNgVZoaK0/AKaCDB1v+GLtr4I8+fn4/rrZ1bxuafO46nVenMD30vBBNKS6d2Z5ryOaecuN9HUgeoxMs6EPKn5fZqkzjV1+r+JkKtfa9zaMm69rbonjY+quTetFL9JYEm9BvxleN7o96Spm8zvQHWw2jBOMBN4EOCBcuRTL+q/65ub8DalaXmg0h7u4xYUvuiN0yYIUZRH7ddo6vrf/Le+P+rT4n5uYHuaOlCtqVehjtQfOL+KJ1Y2jN8BxXmmSUx9byL1KuuAfp8qAm5K6iaY2kWo8k82AQkhk5B6wszvcQxcuNDgnGRUyKzTxPTn5YIYzSkAiBLZliitjsQHxqeT6vOpiU992iZZvibU/aaqXRSTUXXdSdoxSUnZccFrQLnNdQRaNw/GWSbpvU1qfueWOKupHwLo1bzqfOrDOMWFjT7+4L6nSt/rNcQdRwoHwzhF4Dnw2datRfR7pqRT02TjA4iT4Pr6ZLns/NlM3/NJMByO35O7bmCbtjxdWysHAI7TNCbR1Kk9Ve3UTXj09y994j782mcfKv3eROqm79J09DlpETKZ3/XFiZN6VftMaKKp0+Y0OnbqU/d9aR3a2mp2HU7qlJVA1+LCYhgWtQnW1orU0DpNnfdZ1WY8fIGN8voScVK/co/bWIeTOnfP1IH31aRxCVVtaBooV2WxqROOm2jq3CrVJFCOlJK6fhWifD1KTTWdQ7+vs0ZUocqEPm4O6lYg0/dWUz9A4AsI1QIfIXWPzO8JPnDvk/h/Pn4vNofV6ma3K/27YZKg5bnwHGckTz1KCk19nLmXBuPmpvRPdzrjn4sPwKqJqpO6yVyva+r6ZOILtem7MCyn6k2a21s34erM76br0flbYYytsPygNGmrouYJtPjzfiOtscokqfdJFTFQ+0yadRNSbxoDMAnSVAplGxvAk082q5BG5vdhkmAwGDWnUl/zKoIkeHCtqEpT45qyqboftZu3hepCmEDXHKeJUbvoeZpo6vT96up0NLkm9zQRP+/XOkzaxiZCQF32hcnKFUXVAmrdvevM6/z3pjnC/1WdVzc+LKkfIHBSJ4mxSlMP4xRPXZH25V44XkwdxilaroPAdUbM73z71SrTHw1QWkQuXZKEPm5i8gHaJJiH/80XzLrr83N0Uq8zE9ZpGnXm6ypz2zjopJ5l0i2ib6XLCVbXKHUt3kTq1EbdqlAVlGcKBqK/L18eDWBsYiKsWsx1wYzQZLMfuu7Cgtk1ZUKS3yhKUpXZQffnkf7cnM591XWBUPx56Ddck+KkL9sgfxzXDBaT4FeHptvC6vOkKWFWuaf4O+bC0vnzcqMkrhFXkTq1TW8r0CwDwyRYj/t9nVmcr7vcleJ55Ws3Kc/Lx4IJprlL4OOyqo10D9P3Vd/tJiyp14AmIAVy6Wix6Pcnr0g7Wi/SNb0MenGaYZxr6q5Qu7wVFeWysaQOlEk9ipotrCQ10v91kquJ1MvPVf6/iUS63UFuMulVaepNFyJ+PTqnitTpetwdol+/zvzOFwx9QdfvQ4uPSVPv90crwDXp/zoNTW8TIIWHSYO5GpFeTqRhnBiru3Hhj6cxca2bk/raWlkL04UoXVjgCzvNO8o2MRFmE1Kn40EAXLw42kbT77kQ0tRakiRSeK8C3fPcucJqsrEhd5Dj7guTUDEOVTEk+nPVfa+DE7UJdD2+d4JJQL10qXyNOqGvbr2bZI3Rn6Hqe2q/JfUDAq4VeN7oIj4cFjur9aMYT6+Spl6MsCTN8IP/9eP4yINnyufmPnWuqbe9IpJ+nPmda3WmKmx1aGIyqiL1KmnUpPnrxMTvPekgN5m+qyZcmsrNcv7G+/8Mg6iamXiAF50/iJORc3h/6TEO+n2rzO91mQH8t7qGSb9T2mUkF2r93ei/069rWrB0qwOBNh1qYgEwCR510PPUdcsRvxb1I5nfTVpRr1fW5Ol41SY6/LqUZUKBcisr1fve1z0fJ/UmxXw4qertTlMZPFg1z+oqK9LYW18vCzqk2VYJu000ddN3Z89KoaoKTUi9zqWljwn+O94Pep54FamPU2JMcT/8PdWRetVzcCFkL/dYmAqpCyF+XQhxQQhxHzu2LIT4qBDikfz/JfbdO4QQjwohHhJCvIkdf4UQ4t78u18RoilVTR98wdM19TiWk2e5K6PgvvDkRbVgcU29H8W4sDnAV8+slK4dJglargvPLbq/G0hVexDFpcV93D7ZTasy8fMIdRNPJ446abgqgKnq3lWmMJMgAFRL0SbzcZYB919Ywf3nVnFh0xzd53llE7M8P8MwTpWQpbeZ2l1VB4C+0/uNB8rVaUlcMNL7gfqfzuf+6yaLJy0sRNimexOowt84bIfUk/ymqZOi1RodN3xccbOqvoUx/43JtG4KhqTz6fekqVObTBXFTMKTCXTezIwMjh3ng+cEw9u9ulrem10/r05gEEKOCyInrulSX5jmS5PnMj1Pvw8880zhDtqOpu551WSnX49nnvB+4O+tah2qU0ro+ypSr1qT6DygXhunrJ4LFyZfq7eLaWnqvwHgzdqxnwNwV5ZltwG4K/8MIcQdAN4K4IX5Ob8qhKCl8tcAvB3Abfk//Zp7hjpSzzI5IJc7bdx6dK6kiXOfOply9VxYaX53lE8eAGbyqLFelCjJr0oD5+Y7vllJE/CBWif56xpnnZmsSiuv0gqqJkrV81ZF1JomcZoCq33JelX1AzyviLymBZB229N33eNtGqep6wsDt7SMc09Uaeq0YFD/67X069Ls9Oty8z1/F/w8qmW9G5o6Rb/HWaIyH/QFWV+A+VjXn5PHH5i0NV1w4aSmUtqSrNIMzq9XBT6WhRjvBtMtFHTfKJKm5KpxovdDlklzP//t3JwMxOXPwvurar7wexDqhHjq21ar0NbrBNaqfvC86gBL3q+0zgFlAjVp36b+I8G2aoxywVdHncJC7tE6TR1AKdNjLzAVUs+y7NMAVrTDbwHwnvzv9wD4AXb8fVmWDbMsexzAowBeKYS4GsB8lmWfy6QT+r3snD0Hf5muO7qABYEcaK+58XiJPLimTgTx5Eo5SXsYpyr6nTDbkqtBP4obFXDgJtlJoGuPgFzoOVHoCyI355mClUzHqrSNqu8A2aemzWvqcstNZv/VgRT/w4ptcUlD6PelDxIAwrwgSpVPndpdZznRFwD993zhM/UXr39P53leYWamvtD99lWChn7d4bBYRKsWcyoKRMfqNqvYtvmdvRedjOnaXJMlIUMfZ7xoCheGeDEYU3uzjKW05RczCTLcalI1Zk3PXfd7/TwS2HjkfBWp8/GTJHL88t8GQTGvTfPX1Oaq93buXPUaRG2lfR10waxOYeD3bbqvgxCyDDCtwyaBzzQ+dNS9w+2Y33nKaprKLCRdSCFN/dCZ3ytwIsuyswCQ/388P34tgKfZ707nx67N/9aP7ytMpJ6mknziGHjtTScAFJHw3KdOBLE6CLHWD/PryT2lKU+dELguXCEwyDX1qoFEbaJBHIaTa+pAeeLRfuamewD1wTxV7VwfhCp4kH7HF2MTOXY6ZlIf51PXF7C1nNR1gtaxslLkWBPRhEmqNEq9DfpzVpEGJyR93Oj9RX7YJCn2C4hj4KOPnsaP//dPK1dBVbpUGJr7cmWlIDbSUobDYnHh74C3h7slokhexwT+bOOsEITCpz76XnRCp/HCi8/wBZSTnEnoTJLymNaJTFW3S9LSNfRnrIqJMF236XGdoKkmRd25JlI3CSJElCZN3XR9bk3i1x4Oy8KUfg4XnvR88ya56nR+Xb/ydvV6RYYPJ3V9Ppmel8ZFnWWS5p7pvKr1dWtLrlf0vFeujFaOFEIKX01riEwD+xEoZ+qirOb46AWEeLsQ4m4hxN0XKeR0yhhnfqeXdMeJRSy2A9x2dB6ApqkzDZ5M8KTVt1y3ROquEOj4rjK/80Fd18aqRd0EPgH4xOO+VmCUfKoWVt4OfbL99689ip/94BdLv+GL2CSCiE6W+nc6uSpSrzC/Uxup8EcclwUATjr8mXVi4JI8/c5EMvwcajP1F1lJyLRP/fzElQ08emkDUZIgy+QCYiKYKk19MCjeG9fUaQHm70AndSq0RL+r6j9CE80UQKn2O7+OaREmQs8yszlZ72fdukTPYrIOSVKXX1Canel83rcmYqwSaMf51PXz41i+F5OQxc/jggfvHw49SJC7Ikzv21TgioiajxH+/LppnvqZ33McqY8zifPj7baMVeDPQ7/hY2DcveqsTjz2wNQGvZ20nSsFUUdR2WpB8Dzppqjbk2Pa2E1SP5+b1JH/T0UhTwO4jv3uJIBn8uMnDcdHkGXZu7IsuzPLsjuPHTs29YYD9aQOFNXQXEfgF//8y/Cz3/FCCEjzOYETxZN5HvuQpbD5bDa5jkDb8zCIxswGlCcpaXhNn4kGv+sWRB6G5QGvk7pJw+QT6s+eOIeV3lAdB4CNYaSO8d8D40tvmqBPXL6A6O1aU+b3ak3d84oJGcdQlf0AGKPmPa9c3KfO9GzS+qqOk0DFFxYuZGyFMbKsIFv9fpwM+HdRVDYfc40qSczXy7KiwAe973F5xNQXTUi92Hq1TOp0DT2mgMY4J3QTqZu0SRrfOlHSeUUd+rR0z1J7NfMqx+pqvZ+0ivC5dYHfx9RWHbyNPPOFQze/jyN105xK0/LOivrax8ccLwFNv2uiqfPxbgIfX6QN8+ej3/A+qXpXVZo4f2b63cZGeaxUKR/cosWFZr2gkuPIAMq9xG6S+ocAvC3/+20APsiOv1UI0RJC3AQZEPfF3ES/IYR4VR71/uPsnD3HOE2d/FdZBtx53VG84MQiOr5XMr9zcnhKkbo8ppvfXUeg7bvo16Rh8XbRQK3aCrQKJk09Scw+H12r4AvFpUuyktggSvCLH78Hf3j/06XzwiRBmKRq8eQTeDukbiJvgq5FNNHUO52CpHVNnUfA08R23dGKfXr/UDurUptM2i1VT9M1dbIW9KJEbV9LbiB+Hf7+9eO8Oh0fv0Tqvj9qQeEa5DhNXXct6G3QQZo69bWu7eqkTqZhnrbJrSGc3PW4C98vu6b42JXjUx6IWXqdTgZ0fxNR9PujZMlRRQa83+hv0vpImDIRnU5gJLQlSYb/ce8pXNiQEgYfQ7xP9Wvpz6g/N3dfmFw+NOZ8f9S337RU7HbcGtsJlKPzTHOSnz8zA5w+XQgpVZZJQFr5yFVImnqTand7gWmltP02gM8BeL4Q4rQQ4icB/CsA3yWEeATAd+WfkWXZ/QDeD+AbAD4C4GeyLKPu/ikA74YMnjsF4MPTaN92QYNDz1PPMvkC2+3y4O0GrjH63RFQ/mVeFtZ3i4u6QqDtjSd13i5aECYhSBp0NMiJWPRodz5huMYkhHzuuTk5kDf7CTIAm2GENJWmZL5oUn9wCXs7pM7bTn1Ai2KaFtuADqMUG6Fcjeo0dY44Lpvc9Qj4cTARXNUCUqWpczNoFBWWg60wgu8Xi77J/Kj7tokQ9TbQ74bDUXKh9nEBQCcS/VlMmvq5c9ULMq/9zturk4o+/vjY0zV1+ttE6sNhmdRLFglWJpYLEaX2sndSZdqvIvU6TZ23h/ulTUIbP48/A9USWNkK8Z+/9CA+cepcqa90gaSJ+Z0Ld1WaLd2bSJ2b+7nCUBcopz9f1Xipc9GZBDvT8wH15nfebtctV6yrEoyyTJI67etBblDOB3XC7W6jYYHHemRZ9qMVX72+4vfvBPBOw/G7AbxoGm3aKfjipgdv0WTU8527gWf0qZ9cnMHpvDhN4VPXNHVXoON7ynxfZfohcuQLQlP/tEni5D5Wbsbki4tuBqVrAUVg4CBK0G4DTz0FnDhRLJpbYYyFTlAi9aqFsA5VUjm1a2UFWFoCLm8WJocm5EzWjmGJ1BN1/brJyUmCQNGuVQs9/c81daoISOMsSQq/81YYq+/oeampVdYAZWLWAsWEkO3Ty8CanoO3kaxCHPo7pPuSBmmyHpH5nVtFdPOp7lribeG/4WPz849fghu1sLg4N3JPXSumv4sysVlJECq1N5bvxURC3L1hQp2mzsHJZpxPnRMQzdtBJPtUj1Mgcz5fL/h1CKa5GIbSEqnHvlAfRlF5MyadVDnR180D/bp1v6nrD90CZrp+Hanze+vjzgQSmPl5R44UY2K/sR+BcocCtHjQZi76oKMFkr/4ru8ZNfUTsx2sD6LSMampF93vaJo6DUT5d4YNtlEMDUTXnVzjferKFv6fT39VmR05Aemk3WQB2BzI9vYjmXvc7Up/Y6Q0zbKmTovntMzvdF0KNru0XpC6KcpaB0127ufVze/joJO6HqNgajNQaFS6JpWmwIDM76EsRjQ3V5zLCU2/Pv/HSZ1iL3RS1zV/ffE3EZf+WbcQVC1suqZO19KJQxciTRo919D+1V334ve+cWrkvvPzUnvS+yrLyilt/FlL7a0wv9OiXkdcdB8TdMHE9J3pWrr53XWBYSQPRKxPiXi5u8I0d/gz8uO02ZJeSpn+6Za2ujab0ERTr+tXvT38+UxtaepTB0bN+1XvX2+bnq++n5q6JfUK0MvkJhYC13rKpC6j1wlE4Mdm21gfRMiyTGmPASs+IyB96h2v0NT5Iv9nj1/A9737Y1jpDUsDzPOAxcXJnulLT13Cxx49g3MbfTX5CbomrS8GJvSGBfkAcjGIomLhJlI35Q5PCn1hJlAeaBgCKz1G6g019STRze+Fpt4LY3zqsbPGc00aLgVo0aJLMEUl00JNCwlfXMO4LBQR+PuvMq+TkMDfredJ7YqEDiqSwq+nk/s4ktbbRM9j+n2aZiqVRdcqTX2ia5ij1yt+248ShHmWgC5g8fvwc1WZ2KTa/E7vRl/U+c5xk2pmOrmaBCRz/5V/T8QaqVTMcuM5qXOhUReO6Rn1c2nscgsJUG1WNx2vC7Ksshzw3+h49+cfxr/91P2l8UnP9s8/fg/+1zeerjyfuxvH3Ud3O/Jjdc+1H3Xeje3Y7wYcVNAEIEkfKEicCF03zXUDXVOXb/jYbBtRKkuQ0uTjxWccR8BxgLbvquA6XojlqdUthEmKRy6uA5iMGOM0xcXNQjUbRmUTKF/49cGsTz4TtnJS59qt43BSlzegRbrJoL+0NVDuCo4qzYYmdxhq5vcGmroyv/NAuagg9U89dg6/eNeXcXa9V3WJEVKPotGodJP7ooqUgaI/63b9q9KO+MJPf8/Oyra5bhEkp7dLtyRMoqlzYjS1K2IHh4ZARP061D9V2hrX5sM4UfnmdS4rfo9YM7/r70N/V/qizp91Ek2d7sWtEHpbx5E6D4CkNSbSgkJ1gaROONI1dfKp6+eQoFhHhOOO8ees+12WAe/6/EP4na8+ro595cxlfPXMyogQmWXAPWcu4qvPrNQ+I9ek+X30dplInaOO1Lnpfr+0dUvqNXCcQlOnz3zh0zX1jq/51ElTn5GSwfogKqe05Zq6m4+cDtP0u91Cm1rPo7kp2K4BVyl86L6n8Zfe+0llxiXz/iBOlNZG0K/LJ43JBCpEQeo8la/TKRZxXVNvQur/7tPfwD/68JdLx3SfmG5u8zy54FzpF2l0TTR1RQwV5vd+3n5dY+Zt0LVDHs3MUUcC+rWGDTT1qlrVWVatNVAwFm+bTur6tcZpN01InRf00c3vJvKoIjfTb8IkValpdb/nbaXxSeZ3/X6cCHXtlrTkJuO5yUY6+vNXmYmpHfz7MBoldT4Gxt1XF5y4Vh8ExRqUZYU1zOQ6GxdZrj8LweRWyzJZ6vm/3XMKf/rYefVdP0qUoM7HDb3PTc1Fqd/L1M4mlhL9mGlum35X5z7YTVhSr4Hvl2s58wFoNL+PaOoJXCGw3JVRJZLUc02cBcq5QmrqHd8z5kiTP51IfRIp8JFL6xjECc7mKS90/2GcKsmVBl/VzlZVg9NxgH5Y+NT58Tgta5pcox6Hp65sqQp8BF3K5u8hDKXwFUXAlV4IAWAm8MZWlOPgWj0XBoiA9KwEfVHRF6Yi31t+oUcE87HE/X10fJC3Qd/Kl99DT2fkpkJaYEya4NJS+bOumejHpqGpxyVSLxZm3kZuKh4XQU3nRZGs0Eg7v5nAyUyRuhb9rmvqJgsCgSwdVdq2eua42I41Tcv7OfB+dd2y5aSKIE1ziMZnqPnUdbM6XZMLx/rcTtPyvTsdVo/DlWTW65nr2xsFuRrzu+lzHBdlmz/1+FkkaVZSFnphrJQi6gc5TjLEaYbNYRFkXDUWtqOp6++/SrDh73W/tHTAknot9FrkuqauT+aulmcua7w7mG8TqYdF9DsrPuM68kLdwEWUpog1UxoF2T25slm5WFfhzJo0Y5/LzcekhQ7iRJmeHWd0d6cqs52uqRNp66Rn8qnzbTQ5nl7dwhMrRUnZs+s99DVC1icWbydF4yYJsNoPsdAO0PHd2jx1jqUluckIgWvqtPjrwhbvB5Pgk2XARx8+g7f8+l0I42TEt8l/57rAfedW8D++9ri6dpWmzs+rM7/TWH3/18vajo46c2PVAlVlVq6yIACFuRsohCbdxaObpU3aJYE0TIr+jk2dwZ6Rv6MyqRfmd11Tr3pmSumq23SJ2kiWsH6/2PxkRBnoFhbBKgsLt76UNPVYXshkftffJVloKFBS15ipzSZ4nkzj6vfNpZz183QroP4sps+9XpHz/rFHZcXwPqv70YtiFWvCSZ1ciqSp6/OLwJ+df39+s1eKo+HZJaZ3S5XkqrCfhA5YUq/F8eNlTYjnMJKmztENPAzipFRko+W5mG/LWbA+jFj0e6GpO6Sp53uq64RGxVSeyAvYVA2a06ujGu7pVUnmFBg3jEhTL4qakO+NT8JxvjiANHXSZMsruU7qhH5/1HT1rz9xH/6PP/gC4jTFxjDCZhiPkKjJ/E7vYGameBergxCLnQCB6zQyv9OzDuMEuWylSJ37LPXnozbw/3X80QOncWlriNV+WBJq6Np0XhAAn3r6afynzz6szm1C6rTofPiB03j35x8umcwJH7j/cfzJQ2eM16B2cFLnflh+3PTc/Bp0nDRSHZx0h0mKv/ehL+G3v/boiEDECZ6yJEwLKwmjtKCHSVJLsLrWFScFGU5qfqfocN3SoIMi5KkvqXJglaBC9+LuEKr7wN8FH0PF8xeNN5VfpfvyNFz9vY5anDL8xfd8An/0wGn4frEHgb7umQQRx6nfgU23bAHFXvDn1gZ46NIaHFGedzIgsqjVT880yNegTTZXTHPTROpJmuF/+/0/xe99/QkA9fOBUFdng9pmNfUDCp18dFLXJ3PHL3ZaAxipt3JSL5nfi+IzSlOnndq0hZw09ZXeUBV5MeFnP/hF/L+feUB9jpJU7Sl+fkOOZjLrDqJEEQ0FUI3T1PWB6jjFs45o6hXm4ytXynEKAHC5N8T5zQE+feq8CkjTN1bRzZJ8cex2i+PrgxALnQAtz53I/D6IE8zm74kHytFiqe+zzqHn8wohyfgrp1cASPeJ8v9GGf7Rn3wJX3jyovotIPupF8VI0gwySyIn9aFZmOCk/kcPnMaHHzxtJIvNMCqlQ+rQFzF+jBa1NJXCWK8iVpCPFd1NQqB36ToCwzjB3U9fwmMr65X+VV1rN2nqrssCPpO0lmA5qW1uFpptkqZGoq2yvvB7pynwB/c+iV/5zP2V9+QFnvRywCbQcycJ8MQTwNNPF4IBuST4lp9Dg0/d1F/c1K8Xi3nwwhqeXN0o/Q6QAu3ptR4eu7xh9DXz++labd1e6XQObxulpaYpsNaX43Wx01IxRlkmTfFDZvUioY8E7yqfOv1talNvmKAXxbi4KSUQ/m74M/FjdS5JU9/vNSypTwAe7W40vweSlMkkPWp+jxTZmTT1bmDW1NcHEeZywnla25udkGUZLmwO8NCFNXXs7HoPxItKUyefepKqZ6iKkjVpK/yZXZf71GPlP5Y70Zk1TVoQy88nZ9r7v/o4zq4XBbV5HXzdx1q1wGwMIyy0fampNzS/A/JddXwPgeuU/OtRhU8dKPvUueTuusBXnrmogrHWh5ESoM5ciPH5py7ga2dXSmRCRXx6USyDvsgkabAQ8IXGcYBn1ntqzNECCcio8DBJjYIBv5bJ/M5JnUrZkuZV51OvInXSjLu+h7V+qEoIjyM3k08TYAs601QHUYJ/dtc9I5kTfOzSHKaxEeXmd0KVdUJ/bmrTl05fwidPmVMeuaZOVRtNLiTTc1NRIl3AomtSv5ii301+eT53aYzQ/X/hj7+Cd3/xwRENmgRZEtyrrCYmlyBZAU0wCRxcg6Y1cqHtMwVJzok4zZAhKwk65ILYDPkaVG4ftV9/BxToS/NM94vr67zer6cub4xUrrSa+iEC19RpgJd8Y75kq56mqbfynPT1YagII3Ad5VN38lFDQoFOIOuDCC++egmADJYzDRgyTT1xZVNN8DNrUrXq+O6IT53M8MvLZhOTTvKmhVWI4nopWyiTNFOkxAklikzV+TKs9SPMt318/ewVfO6JC+o7LtyYAqdMC8zGMMJc20fLcxsVnyHId+VIDZ9p6lU+dQ5dU+90gLvPFs+xMZCa+nAI9BIpwPTCuFSEh1L/tsKotECP86knaYrzG30lFHBfI5kjN8PmmrquQdH3VJ+ejpuQpmVNkC/qFCjX8V2Vr65HrPP5xHP3TdrPQxfW8CePnFaWpyhJcWathz99/By+9PSlkWfUfdi0OxtFv/NnBsz+VFN8wTBKsDGMFJlwEIFkWUHSdF1uRje1lUiXm5qpT7j5l8YKF2B9X47BfhTj17/wiHJ98OchUtwKIzx1ZQtDQ57/QHMBdbvmzUlMlgcSLJoUfKH+ofZRRP9820ecZoiStCTcJkhVaWVurUjSbMSiZhqrXOjc6I0G9FJ/r/aH+Bvv/zOc2+iVNHXCld4Qf+23/xQfvP+psffcS1hSnwC8YD/XcAkzpKmT3zqRpC6EwHzbVyltgetACFFEv7NAOaDsR4rzAf28Y/MAgEs9zSmUg/zuSZrhqTxKnkj9pdcsj2rq2uDXi8PQpKzT1IEy2ZEwElaQ0uJiOe+fzonSFG983jUAgD95qNiYbxAlePjiGtYHodHnqcN1gY0wwnzLR+A5E9VwH8YJWq6LtueWFgYSwvqa+snbYyKARy6u48alWQAFuc7NAYM0zJ87LvUn9VPsRBA+Cw4aQ+oXtvpIM0mQcZqW0uaIzDfHaOrc4sA14ywrSJoWUbp3VXtoHA0G5b3Yk7yzSHAFYNTU0yzDu774AM6sbymhh5fQJfz+fU/iP3z2fqXVhUmixvSlrUF+zwz/+hP34anVjZGxS+3h0e/82UymfBOpU+S9yT1DZUPTtPjbVI2Ng5MKF2hMpC5EoaXyOUebD33hyYt49xcexoMXVkeegwSvRy/L2hcUW8CfcaC51qpMznrxJP4s40idWyaoX2jezrWC/P5xaR5EaVLS1Hnf8wh4/V4Esgr0+8C5S2VNnZCmwGMrG7j/3CoevrhWEvYIT6xsIkkzVT+E7pemsj8/+dgzRmFvt2FJfQLwTQyAap/6V89cxkMX1pT5HQDmWj42BhHCXHsHMGJ+n2kRqRcjZz33Ey13WxBApUl5lQXInbos/WNn1nro+C5ecGIRl7eGiNOUmd/N0eVcU9JNVSYiLeV05xODt5FPRtOiQMLIbcfmccuROe16Cf72B76Av/H+z6oCOlVaJQAITy7s8+0Ages23tCFnqPtu2j7rlpUhCgqdvEoXAKf6HrgTD+KcdW83NZtI4+J8P3ieftRUjLbkyC4GUbKwuA6opbUswylojjDJC6R7zDZnqZu8qmTlsmfW78O9QP54Ln/MmLm9+LYaBralf4Qv3vfY/jTx86V/OC0nzZhbRBiGKeqrzixXsr9o5e3BvjAvU/ii09dHBm7RZ56ViJ8+p2p7rnpuWmsUNwL/z1dg0iLrkswCYP0e718M/WFTupqC1nDurCat2kQJ6VnpKqHaQo8cmlN9QcX4OV58pp1BZCA+vTDcZuo8GdSmnouqCx0pCTXi5LSmhinqRKSHAcYhsWzbw6j0vX199ZqSWEzSYCzZwF4pKmXHyBJgLVhmPdDYhQSKMWYZ+6QEPaFxy/jX37yK/j62SvmjtlFWFKfABRVWkXqpIX8+888iF/+1P0YRFL7A4D5doD1fCEioh/V1OX5XPulxWK+7cN3HVWzXccaW1ROXSJS38I1811cNd9BBuDCZl8tQlXmZH2y0cLDI2p5JDMnYSImTqZV5uPR5wvwmhuPA4DqHwryenp1C//wj+4ptc/UB0Re820frYk19TQ3vztY7Yf46+/7DL72zGW1+JtS7FR/GKJhB3GCIzNSEOOBavS8vXyfdEXqSqsugimXOsFY8zvVHwCAME1KO76FoP0GUuOiT89BwpyusdKieWUzwj+/6yuqWl+V8sFJan1dI7CUSL0IqAjTZIQM6Nk3hlFt4NtaP1RVGgHphyWCJ01ducEM1eYobZQXn+HPZtKozZq6vKdO6tzPrGui+r10ZNno/uo0VniAmOOYze+8jwBgEMele1HOeZYBj1xey/sjGxkDVUGwOqoC/6o0dfqO/h/R1PP7UYBxP4xLmnSMQlMXolytcDMvsmW6F1Ds3nfxorwnpbLqgkuaFrE+gzhWz8Hb+WSejSRdolnpXBISzrEYob2CJfUJwMvEAtU+dQC4vDVU5ndAEs3GMMYwSRC49Zo6H8AbubQ43w7Q8hyE+QDWFwSawB3fxanLG3jyyia+fPoybjk6h6vmpMZ4Yatf+NQrCI/HDJB2xuMHTl1ex3e/66P4VL7VI/dbDzRN3XecsaROmutCO8BrbpKkTmbrla0iJ4ZcCtQ+kytACQgtX2rqk/rUXRctz8VDF9fw4IU1PHxpXZl3B4aAtbq2DOMEHd/DbMtT1hb+vL0oQatVFKihftocFgU2lrstbLHgHwL3tT5j0NSV+Z3dd7MmAp6uWWXyfejCOj71+DO4l2kdJkIiUs+ygjQIhU+93vxOtQXWhmGJYB65uI7Ps4wB6lMSmDIU8+ZSPm5oYTWlu6ld2rQ21JnfTaCxTgTAr5OmRcQ1F0a5Bl4VeDYcFsTNd3Hj7pWxmnq/sArRdQHZJtoPXpF6WqSKXdjs4fTqliJXnfA+feocfvmT9408r/4sPFc9TaWgt7o6OnZ4RD8AhPm7WWiT+T0pZQSF+Tuj8UmaPVCM8zrh33FkFs7MDCvHzOY3xTQoq1qclGIj6DlJQ98YxljpyTFHQgqtGxc2ze7S3YQl9QlAg47/zwfyUrcF33Ew3/ax2i9r5dKnHiLkmjoVn8kvMtMap6m7lTWuV/MB+JKrl3Hv2RX8vQ99CYHr4qdec7si9fMbfaVFm3yANKnp2ShACsiD4qIE//QjX8FmGOOB86sApNRM0H3qizWaJoEsDAttHy+8ahGvvfE4vvM26V+nxXmxHSiiqzO/U1/N5Zr6JNHvyvzuueo6YZIUmnpN8Rmjph6laHsuZnO3i/68/SjG3FwRwUyBhRvDSL2b5W4LWcW9qR+eWStIvZ/EKspaCGCD9f2490CLlsn8rha+YRGMZyIjHpVNn9V3+bvgpE45x2Gc4B3/62781y8+osbn+iAs1R94z5cexT/58JcRpzJrgxbc9WFBprEjb3gx19TpmcMkwaXNAd71hQdVyqDa0EXT1Ln53XGA//z5h/C+rzymnntEU6f2Dkc19Swrp1FxZYDfywS+v7ruCuH3IOHENNbXFSmV4zcoMv3SaoTTeXGqiJH6f/j8N/DOj31NWaf0Gg2fOnUOv3/vU6WUU/5cBE7qa2syPW9trTx3eUCdIvV8rlN9D5nuWcyBMDeHU5/omrpuftfR7Up3Dq1p8hlHze80tij+RXcTPHllE8tdmZ9LBE9CGK1XNBb3EpbUJwBJzvruWzRw5lo+PviTr8dfeulN6EUxNocR2rn2Pt/yVfGZcT51LjVy7dN3HbUblT6B1vohHAG85UXXYa4VwBECv/jnX4YTcx0sdViZ2sQcKAeUyYKeLQyLhfrjj53G4yubaHkOnsnNSoMoUel2JlLvRTHSmmARWngWOgE8x8Evff8349tvOQGgMKMudYOcAIr0o81+gn/8x3eXSI20tvl2gEDLU1/VivLokAKYq94N9ZHKU48SPHRhDf/4w1/GX/2tT2NtEFZGMMeprEXe9lwZS8E19X4R/U7YYj7vzbAwv9OC8d67Hx0pIEMk/Mx6T1mIBpEcG1RQqKSpNyB13acOUIGh8uI+zvxuNGfnBOCkRf9G+Tv9F5/4Mj516jy+emZFjc/1QVSKtN4MZVGihy+sAyi2IuZm714ebr/aD0sR08M4xZfOXMR//8opPHVls0RGuk9dj5O465Gz+MzjF9R3OrHT+FgbjFpC0rTwX5MLi7so6mKo6FwhynnqepAZucLMPvVRnzDBcYAnLsk53PW9kqa+NghxpR8qwhupNdEPkWQZVtk+C1UaMQl2w6EMko0i4MpWiF/+06+r/SiqAuXmmabO2xDm6bjkkuDuvs28JgT1oQlCFGu4aeMkapOyquXjvyToRgnObfTxupvlWvXElcKvnqbFuLi4ac3vBxo0GKpIHZBERiS6FcYIHBf9vhyg/SjBZhgzUpejT23oEjhwRFlTX2OkF7hOpaa+Nggx3wrwHbdejd/9a38Ov/Pj34E7rzuaX9eDABGGHGxVhVn4RGi1pKZOCz0Fjrzg+CLOrhUpcvS8KlCOfMJ5zXu9mA4grQYf+PqTJaGFQNocaepEbtxc+9ilTfzp4+fxNbYzEwkI8y0fLbfwqX/xqYv43nd/VFkXTBhGMqWtrZG6ylOPE7znS4/irkfO4tTlDTy1WtThH7lWft+272Cu5ZfIlQfKEbgWvTGMS5o6ALz37lP4zbtPle5BBHxmrYebj8wBKBZfGh9Nze+0mJt86lyb6YVJ6bjpGkJIv6W+j7nyqWvR709e2cLnn5akOYiLCHadJGnRvfvpS9gKC0Fxg2nqXHi63BsW9SJYZPzGMCrVoa/yqdOzrPVDbGkmXf7bwqduFhp5EBmRHJ1fVYaUrk3zTt8XgFA2v4/OZyriQpomR6sFXFyXbT4620LEfOoUbV6YppOSC+hKbmq+xNxjs7NFnfjHL2/gX3/iPmTIVFpjFBUpwV95+go+/PDTePDC2kilSGBUU+9HcclaMNSEFG6loOj3MJSBcHWCE10bQKkSKJBr6oOw9BsufND8v/PkEXR9D09qmjqtgdb8fgjg+2VTqylIZDEnOQDwhJOTuhygFzcHah91vvWqlOQF2p5Xjn4fRHCETJerJfV+pKJFdThCYCbwsBXGahEa51MHiu0XSWMI4xQCwHVLM8qXO4gSRd49g6YOmE2/f3j/0/jXn7wPD11Yw0zgwXOLTiXrBmnqRG7kS0uSQnvkkd3cVSHz1KUm+JnHLyDN5D2rQPEPbRYXMUzSUp76lX6o3l0/iis19aIUsEFTp0A5vlFFVNY0Ck29GEePr2yUtAnpt5M50jcsyxgEXoBGknpcum4dTJvN0HX6ykQZV5I619Db7fLuXsMh0B/m5vf8C9+R7hFaMAVkHxfR5CG+cX4Vf+W3Po2tMFZtuPv0JayzsHr+/nk/X9ocqP4I4yKgbmMYKXOt5wgVeEqaNKV6pSmQ5RYBPn51UqWxvmHQ1IGy0K+nfjXx21Nsiwk0JwGz+X21X62pe57c/AgAjs60ESUJI/VEknre50mala6/kp93iZmWg6B4lk8/dh4fuPdJnN/slaL+VVDokKwbobJEEKQ7Rje/J6Xo9DDfjIr6gO8rQOOcKiDWuTiAsnJTSiWOgTW6VlRo6kkC/OE3nsK/uuteAMCNy7O4YXlGaeq6T/2iJfWDD88brR6mT5ilblEHNfBcCFFoope2BkpTD9gubSSVtz23NLiompwjZF47Tz3hoJrnVZhp+bjSH6rCH+N86oTFxQx/cP8TGMQx3CBF4Dm4dr6LK/1QSfNLHfm8eqAcHf/AvU+OaMnky/vKmRUstMvCCNXAv6xp6uR6SJKCFPmCuz6UAlA3F4CoLffkxUg+9vAzRgsFlWWlQkGEME4QpQWhrfVDXJ2nqXHpXQcthibz+zpPactf5JamUfNAOUKayXKe6nNaROQfzbf2HdHUwwhenllRZ37X3S5E0OfW+xjExeJOAUNVZGQSNtNUlmXt9eWzzuaa+snFLqIkVc+60AnKmno/wpdPX8Zjlzdwbr2nnu3rz1zBZUYm6xXWiEtbAzU2hkminmFjWBT36fiuqihH849vOrQ5jJBmxRgbnXcZC5SrJnXqW8r5p2vp13vqyibuPbtSOm7SZDnI6mAyv68Nyj5hHYkr23xspl2yXgzieCSNrBAYM7W98cUtc3F3EibObkjBn0fsA8X8WB9ERuGwqChXWPr6mvldtqUsWAGFkNfvF1X86mB6RkCey33q3E3w+/c+gdOrW3jVDcdww9IsTsx21FpVaOqyTZe3hiMbdO02LKlPCJ3UdfM7UNbUA1eS+gtOLAKQk1BPaaOKckJILVXPUyffEm1SYpqga/nuZFWYa3lq4AHNfOoA8NjKJn75U/fjs09cQJylCFwXVy/IYutnN2Q0vTKzayltdPy9d5/C73z18dJ1aaOZDfZ8BM914Dmi8Knn/ZkgVZXNyPdaMl0zAYgEp7PrfTy+solvuf4YNsNYRe1zRIkMVGu5LrK40NQHzPw+iBOsDkJcMy+fvRfHavHXQQJT23MxlxcdIpBJFGBm7fz/2cAzmt9ff9vVAIBvMMGIzKQAcDT/XT9KSovkxjDCiTxIsq5ULDCqqacp8L//4WfxW18+BScoAuVMZMRhMsvHMTAYypPuOLGMv/utL8Lrbj4hU9LyZ19o+xhEiXr2KE1V8NFmKM3Bx2baUkg7c4k9Y6G1836+tDUsVXak8bIxjEpBe2mWKU2Pa+pCFOTESZ0/e5IVk4UH7PFnp74kSwC5Jfhxwrs+9zDe+bGvj/RnXeAXWR1kCdWiPVGSqnb3DZo6UJD+kZmWqu5HmjoAFdENFMc2w1gJAJc0LfRrz6wgTlNF+lTyWd/NjirAEanrz0eEyGN1uDVrGCeldZfmaOA6yjpFgYbjSL2cksstYVkpUwUorrUZxvjWm0/gl9/ySniuowqLAUxTJ8EDwKWeWfjZLVhSnxBNSH2JkXrLcyAEcM1CFy/MiV0PlHMdoSLp51uB2oQFkJodafmkqZs0pbV8I5MqzAR+aZI28akDhT98ECd54RwH1+Ta6tm1HgZRgplA1lpf7Yf4w/ufUtrXDUuzcATUdxykqQOFmY2j7blKu1yekaSVihS9Xm5+zycaJ6uSAJQLTlR29m+86nmYCTzcZygGQWlULc+BL7hPPVWLZi+MsT4IcXVO6v2w0FoB4BOPnlWatCJ1X2rqYZLmfkC5UFABlsLaIBeE43Odkvn9tqPz+Jbrj+EnXnkbrl3o4hvnVgEUfta+Ep5acIRsI/fhbg5jnJiVLFK3qYvJxJtlskzmpc2hIt5BjSBD55g09TgGBqE8KXAdfN8LblC+dWrXYifAII5L45IqdW2FMXphghdetQgAuO9c8Q75c22GEWYCD24uEPI9GODmpD6IEbGStYAkBW5+p3e6prIgUuXHrfLlcmGNwM3san7PF32lz7Xzm30VPEYwmez5+sM1dP73GvPxDyo09dV+iJnAQ8d3kaQZkjRDFBelVvl6QWP1CjvGze/nNvr4qd/9HD7+yNlCU1/vqcBN3ichc7GY4gQoRY0sZ+Tjp9ijYZKWxjlZ05a7LWyGZe2/zsoh+4Zr6jzOhcXT5Jo6PcdWGCmLE0A1SGSpYGoXd2/udbCcJfUJ4fvlQDleOpYw2/LVAGyxH78hL4VapakDwMuvOYp7z15RE2N9ECnSC/I0LVo83/35h/HVMyvIsgyr/RCLNZr6bOCpwBZXCFUtSof+LOXiHrLELWmrp9e2ECYyyrvtu/hf3ziN/+uue1U+8/OOzeOjf/NNePnJIyUtan0Qlj6bLAzk2/YcoST2OEswHMogGKqWVjK/MwGIBKfPP3kRs4GH5x9fwHzbN5qhaWIHrqtqCMy1PBkol5L/T5pir1nIze9x2fz+y5+8H791jwxmo/xe8qkD0pQ7yKPpCxN+2dpwYq6NjZzUBaSw829/4JW4+cgcXnjVIu7XSJ1Iq+u76PgeepFO6lLI6fpebUobX7DU9dMMcZqhFxWWA/LNpilw//mVkZSmqgC6KCqqfnmOQJYVricymS+0AwyitLQYPrYiiyhRoZlbjs7Bdxw8wMqecvP7xiBCx3dxtNvKNfUi0yNMTeZ3uTBHSTbiU6f7EoxlYNOyRY3D84p1oqpyHP8fkKbaQW5t0VMkCXofx5WkXrRHL3Fc/EZa9yi1NkrSUuXEyyVNPSd11ic8UI7cSmfX+8pXf3a9P+IzF6JchU8ndWqHIwRcR6hx3Y9ipbQM4wRBAPz2fQ/h//iDL6q0vuVuC5vDWKWsAaOVAXVUaeqrveI5+2GiBF+qKTHDAnvn274qhKT71AHgwsbe+tUtqU+I2dlyyUp9xzFAkjQNwMB1lTb/nbddDQGoCGs9pU0I4DU3XIU0Az6ba5jrA7lBibxWESh3pT/Er3/xEXz04TPoRQniNKvX1FueGrTzbb9SU9cnGK8VH8YpfNfBYidAx3fx+GVpHm37jpp8QBHxGbjy+HzbL2kOp/PI+duOSrVF96kDxYI7E3hoMf94lgFbW0W79EA53leA1PZuOToP1xGYDXxjHfQhM5c//9giXnL1Em4+Mo9hnJRMmgBwpNtG4DrohYXWSkIVaTbc/D7bKjRSWmipbgCRMmkIVylNPVV7BhBuP76Ai1sDXOkN1cIxyFfLTq5t9cNEbeYBSE19tuVhruWNLRWra+pEEJzUKTjwzGoP//uHPldyZeiR4QTS1En78jxJ6jT2N8KC1KM0LflOSWigYKPZlo+Ti93SQqxHvweui6MzbVzcHCgLyDDWo99zc60j5+Gjl9bwiUfPjpRG5mN2K4xGNPVEFIKKHv3ebhfvwfeLwEGOctR9JgtWxSlmZsrbCdMzEIHza/Ec7bLlQLan5Tkq1VEHBddSkGoUZyXLF3fXbYVl7f34bLukqQ9ZYBgpJBRMy8eW4zDze/7uuPWBSN+nKpu5O7IfJcqtGcZSU39idR2nLq+r97nUCVRKWxEjkeFTj58dKaDzuScu4OOPnNU09Vi1kQQT2ilOCKlM9KIEaYayps621lb9EaVKWNrrCHhL6hOCctX5Z9OEoQEYeI4yoR2bbeNffs8r8BdeciOA0eIzQgC3HZnH8dk2Pp0vmBvDUJmUfVbP/P7zUhu+0gvVBDaRI2E2KL5baAdGUjdtzDBk0bVSU5dkc/V8F4/lNebbnleuppdvOhPkwstCOyiZJ2lrzO+49SoAGPGpy2vKc2cCX10nzCXhKAIGCREiTwdjVo18oVodhLg2jwGQGQCj5EbCSMtz8bKrj+LXfvg1mAk8ladOZXwBGdDV9T0MkhjDoSSsfhwjybJRUvddNeE3hpF6T1QTnpvfXSGw3JX7R2+FcSlgDwCuW5RJ27RQZlmh6Xd8F92g0NQVqYcRZls+ZrS0uidWNvGrf/agIglTBocyPYYFIZKmTu+Sb3FapQ2Ri4J2RSNNnSxYFDVOAukgG/VN06LY9V3ckFcbpPfLA7w2h7LflrotXOkPlbA0jNNScBadQ2Ps9+5/DP/yrq8ByEouFU7qJNBwJHmJ0SMz7cpAOUBu5GMidQ6KyqeNeTiyDPgHH/kCfvWzD2J+IcNv3POQIlTdj04gYr1qroN+HGNpafSeawNp3aPU2jBOS77rld5QrU1KU8/J7raj8yVNncbIxa2C1KlEKpH6xx5+Bpd6faXF0jjSSZ2UB0AK92R+X8zndsjiIwZRYSZf7AYlod1xgKeu9PAvPv5l/KfPPVR69v92zyn8+hcfQT9KRtxhPJ7i6vkuelGiBD6qhaBr6kCZ1MM4xUJbKj8fuPdJ/N59j1UqUtOGJfUdYhypt5imDgDffstVuCYnGS+fTKSpA4AQAq+7+QS+8NRFDOMEG8NYEQNp6mkK3HduBYA0h1GRibrod9IYgUJT18uPmgLllPk9SRAmifJV37A0g0cuSZ8nbYRCoA01aOFdaMsiNHxLWAHgO26RpM6jvAnk75zRItnJDGYKlFsfRCPmdwDK3D3b8oyaOk3gxU6gzIEyC0HmrvIc+sVOgG7gohfJetD9fqFxUKoPEYgvXGU5WB9EatLr5vdeGKMbeMpUf3lrWGo/AOXyoJ33sqzQ1Lu+hy6zlADSLNvPCwPNBuXn/vgjZ/Hf7jmF3/jSowDMpE4LZy+KmU9dxhFs9uWPx2kgvKIYad2ucMqauvKpjy6MhILUPVy/JIWb47Ptkd8lWYaW52K5G+DyVpGnHiZFAN6mwfy+OghVGhdQmIu5ILoVxSOaOgm8R2dayu8+KUgYKhNkOvKbcxs9PLPWw5NXNvFfv/go/usXHwFQVJSTzznqU796vot+Tko6KA7HzwWsKE1LmvogLrRj6hsKgrvl6Byu9IrIbnr2J1c2EaUp5lo+LveGake1MJHVKD/80NOF+X1oJvUoSVW6b8d30Qulpt4NfPhOUX9iYxijnwez+o6D2cAvrQeOA6xsyX74/XufLBWqutILsdoP1R4N8hmL97faL6xq/VxYTtNivdF96kC5VkGYSMHkH3znizHX8vGB+x9XStxuw5L6DlFF6hQsFziukSwBmafu5PnpQDHBbz06j2Gcql2AuPZJE5eChVb7Q1UjnVLITJgtSZaB3K7TkGqha+qDqNB2wjhVpvDbjy+qtrQ9t1T+kzRWX5F6oa0CUsM7PtvGTUfm8EvfdyfedPu1I+0gIWG25SmCG8aJKrtZLNJykiVppnzIQBEoBxSEOBP4Rk19VVk6ClJveQ6rUMetHL7UinM/WxgWpE7+Wlrg+puu6ndpfiftqZu3PcJXTl+WPjpG6pe2BqUiOACUIHhmrafaSH3Q8V1088WPQLEDM4GHmVbZp06lK9/zpUfxUF4ApCqqus8i0gdxjCgCegP5mQd0mnyjQgBb/QT/88En1VjzXJm+GahNe8glJN+bKTWTtNJu4OH6XFNfzIsxAYWlC5DC3JGZFtYGoTLtD+PiGXj0O/Xx6iAvptIbqhgAIYqKbIAUbkYD5eQ1j+UphWv9UStDHbj5fVxmyjBJcjO07K8PP3AG64MQmWigqRv2LaD2Sp+6UOfr5VKXWWYFIMlwoe3jqvkuMhRznYj26dx684ITCwCAi70+ogjYiiJk+XPwQDmCHvyna+pbYYxu4OZxRYWAlqQZ+nEM35WbMfHdJ10XWM/JOU4zvOfuR9V3V/pDrOVpucuqzkahqa8pTb2DOM2QZLnrLx9TZVLPBdJhWVP3XQdvfP61+PW3fit+7Qdep9b53YYl9R2iSvgqzO9uJfEDkti5+R3ASD1hGjR+rqkPogQPXZSR1lf6oVr0jhm0FwIfhFSkZpiMagQjpK4C5ZJc+pQLIU1aQBJw13fhO7IiW5Jl8B1HBQDO531BE+X0Wk+ZxF970wm1D32/X5jqCk3dVwQQJil8X/ob+8p0Lf9fG4TIINNg+n1dU5f3mm15xkA5Cv5ZaLXUs7c8t1R2lrCYm997UQzflxX3eDEUkv4BSRqLbfkuV3pDpSlQsZiPPXwWP/OBz+PzT14cq6m3PBdHZ1p4Zr2n3hMFQHUDD93AU31y18PP4B99+MtA3h96rvzFzQFOzLaRZBnuOX2pQlMvov65+X0wKAj/PAsAqiL1z5y6iF/57H148JIUQsmVwQPlfMdRJtC1PCKbPvuOU2jqgYfrczfEYidQgt8MG9stz8Fyp4U0K8y/wzgt+dSp/W2654C2apX/U3DV+qAoNtSLopE+IiKjeWcqFatjGCel/bcJ3D9t2kFxGCd5ZbXiXfzBfU+V0up4cNbaQPbjfNsfqQgnfyvTxBY6viLQME5HfM+qsBTT1Jc6LRzLtVuyMNCYp7vckWf6nN/sIUmAjXyOhHGCzCkC5bIsw8KCjDsACk2dtNpu4CphputLAZ+ek1xK60NZj6HlySh+EtpctxBurl+cKfarSFOsDyIkWYZLWwMpzEO6gj768DMAZJaKKwSOz0qr2jCRljlab0rmd82nTml5NHbkb6qtqNOGJfUdosqXWJjfHeOiSQhcSX5FwExRSazQ1FmeepLi1JU1xGmG5x2bx/ogwrmNPgSKCWgCH4Rdt4gi1Z8ly8rpZkWgXFoyv99+nJG65+LVNx7HD73kBtUGnw1o0tRp0Vvth6UCPYQwLEi97RWBcgFbdISQPmNuus6yDJ945CwA4MVXL2FjAwgcrql31LW2hqO7nq3mdfPn2z7T1F3le11glpK2l/uvwxhBINvMg7VWekO1wHVbLmYDH0dnWnjs8iYeW9nAibmOWhBpkbnSLxZguobuUweAaxe6OLNaaOr9KIaAbGvH99TC+9knLuDLpy8DkBYaem7Cxc0Bbj46B88RysyYZRl+8eP34A/vf0r1NSDvwVPayJRK14mTFI9f3qgkdXJJUKAeFcOh8bEZRgg8RxH02iBEy3Ox0PHhCFmkhtKoOr6rNPX5dqCKFHErVNtz1dgiwSRMUmXFKEW/kwUo/0zESpr6Wj9SrpKtcDSdj65P8Q7nNvp4enULf/b4+ZF3R/jwg2fwk7/zGfSiGJ889Qz+6AFZ5ZBHmuuR9nGaIk6zkovAdxzc8/RlmY6ntQeQLjAZ0OrJVDVNgKe5uNgOlKk7ZOlshLk8k4e02JVeiKVugJP5M9MY1tcSIvULm1JTJ6FymKSK1MO8+NDacIi3/fc/xdOrW6qYjKdp6v0oQSdXHCiAlfz/m8MIvluUeKa2CFHc9/YTCziz1kOWZVKYoH7aGqLje+j4Hj784Gn80498BQ9eXMXGMMJsy1MCYy8PNiRB2mR+J0scPQNfA/cSltR3iCpSJ2277bvGBY/guWVNXYjCjK40dZanHiYpeplcfF50lYx+OXVpA8vdlpqcJvBBOJuLxbpG4DjAo5fW8bb3fxL35+Z9ZX5PEpXSBsiFlLSmtu/iB198A/7Ot91R+P89TurlQb85jEoLMYH3U8dkfi9t85oXhMgypbU8/9g8nn9sEZ4HeHlks+84OJprUnMtH0mWjZgYV/syGFFAlMzvBJq00jwvSv7rpaVy4ZGVnkxLch1ZATBNgVuOzOORi+s4dWkDNx+ZVa4KvpDP5Gl3s4GnfMM6rl2YKWvq+ULnCJEHyhXEdWymjTc+/xq88KpFzAY+NsJICTMXtwY4NtPGYidQm3IM4hSfeeIc/q+77sX/+NrjRX4+qyzWjxJEERDl2uHqIMRvffkx/LXf/kypalmWZfj7f/glfOn0BaUpERm5+Ril1MHNMELLdRXBrg8itD0XC+0AR2faWGgHagHu5pkUrzh5BC++egkto6buKh+pvJ/I+6So5Edjh7uMgEJTp+pna4NQuT30TU2AgjxuOToHQFaE+/UvPIKf/6MvjwS7Edb6YU7QMf7Xg0/hv35J+sbLkeTl8ancOUxTX55poR/JQjBFap68Z5Zl+PrZFbzgxKKaR/qYp7k43w4U+cRa9oHsIzePIcnN7/0hlrstXL84g5uWZ/GxXJjW20yWuEG+c+BmFKrfcQFjfRDi4QtreOTSOj73xIVcU8+Upt7xZb2KQZygG3jwhPSp8xiRjdza09KENKBwz91+fAH9KMFKb1jKtefPqLbsjSIMEhnnovovF+q2cq2Dr18tz0HgOqVSwTwuYK9hSX2HqCL11992Df7P73ghjs90jKVkr1yRi8d8W2pSROhAtfmdiHKQysFDOdOPXlrH0ZlqfzqgB8rlmrrB/L7Cckzlb1ieep5qRbg9N8Fz/y9du8VNTypYrKjQxYUMfn9C2xQox8yLfJH9wpMXceryBt7y4hvU7la0KFw931FuALJW6Dnbq/2hioGgecifk8ziZH3pBm5BUm7Z97rSk2lJbc9VNQxuPTqHJ1Y28eSVTdx8ZA6+64wEzcwEUnj5c7fK6nG6Tx2QsQEXNwdqf/BBHKsFveMX5YU3hhGuW+ziF970Mix3W1jo+EjSDL1IFhBa7Yc4NkuknhdYYYvy737tydJe9PR8SZahN0hV1DcA/PGDZxClKXpxUTRlECf4zOMXcPfpS0VVtnwxpEhrB4X5veU5iqDDRG5NfMPSLJ53bKE0bqlgzf/7Q6/CW150fZEh4ZcXWB54Se91Yxgrgid3i97Hl/N0QfJ1rw2kcOQ5UlMd0dTz8Xik28JSJ8BTV7Zw6vI6wiRVFRN1DGM2n5IUZ9dlwRnuUx/R1DMKWix86ke6LSlkJSm6AfVdHqx2ZQuXtoZ4Rb7ZiDy3GPP/7I+/in/36W8AkGOafOphUtTIJ/dvO9diySJ2aXOIpW4LQgi84XnX4GvPrOBCXlmSg1wSFNxKGnMYpyP59Cv5+3j44vpIoFzX95RZu+N7CFy5pwPP5tgIQ6mps90KCf0kygMspYXnzFqvlGsPyLnONxoaJAliSHN/h1yDkZxz1I98XAohSlXl6LkDq6kfTlSR+nzbx194yY0QQhgL1FA95F/6vm/GX3nZ89TxLCt81LQwLDDzO1CObAWA85sDVf+7CjyljbTpoSa9C1Eco3vomrrvOogi6f8mS4EpaCRgC2ahqUfKNz/TKpM6kTEtmjyljQiWF8bgmscnHj0HAeC7brsaaSrTh6gyHPURb6e+uclqXwZn0WJO5nfV/jwGgf6nQDnCWj9U117pSZ96q0Tq83mqUoabl+fya8jrk+mWFt83Pp8KFBlIfaGDDNLMK0k9UZpE1/dUPXmer1/q/36orAOjmjrv21jTplgtgF5cyo2mjSwSEWNhgc5P8n4dqjgKWtRJwCKhZiuK5EY67Hlbnouff8NL8M7vfnlpsZ3RBEE6p+27ioRanotlFmjHg0epnC5FcPOMDUBqy0VcifSrLnYClQqp170nEm150i3w2OUNJYifujTqNwcKUo+zolrhEyubuLQ1VPNbn5dZXg1vwMqlHplpyYySNFX9Qu/sntOyjO4rTh4xaupffOoi7sndMwudQJm6Y7bBjrI0em4+tmKc2+ijF8W4OY8JofLFH3vkbCliv+u7UlHJ27S8XAj0tI4Q1gdFfYeHLqwpUg+Y+R2Qbptvuf4YAtfJs4LKG/n4jqMUCT6WB6mcCydZoOmKSVNnVhu5f3tZU+9FMebngUEi0091gXCu5SuLndwO1prfDy3qTOsEKixjOu+6xRkVdc219aVuS036WWZ+B4pUm2sYYR2tCZLj1xAoCN7kUy8iU+U9ShXl4gSB60i/agh83wuvwy+/5ZU4nhdTAcpBfQTyha0NQpYSUja/8w0fgHL0u+cICJR9hoMoVvd6+OIajs22MdPylXBAkj5ZM+Q95cQ9t9HHP/7wl9XkvtIvIq55Spt6plZhfgegFjkyZ6/2I1w130HLc5T5vc0CJG/NzbMA1DapHUbii+1AaTYvvfYIrl3oGoMeyaR5dr2nar/TdUhI6EdywZtrjZL66qAcVLnQDpRvlddgH+ZaJMdc/r4SkZQqqRXvY7SIxwpLt9wKY5npkQ9wV8j3k2YUE8BJ3YHnOvBdR40TV4gRzceDPKflukpIIK2L3Cdca6c5QtaotpY8fmlrqKrK9aIYSZphoS1JXWqq5WcmIgtcB9cvzuAb51dVHMapvIaDjmLr40JjfWxlA5e3Bsp/r2u9PFCRoq+Xuy30Q1mQhgQfemf3PH0ZJ+Y6uHahq8YHkXWWZaUo7YW2r/pVFv9J4Aqh5kPHd9EJZGbFw3mA323H5gEA1y/N4pr5Lh44v6rGvOfIc7e2hArsBQprD2nqdM/1YaTm4RMrmwgTWcWR0n1pXL/91c/HTctzMvpdM79vhVFJU+frGqW5Xj3fhSPMmnpb09R7YYx+mJTIvh/JzBtZTc4rFYYCilKxAAv2s6QuIYR4sxDiISHEo0KIn9vv9oxDXQlCgin63ZTmxq9FZsO5lqfMhhR5vjGU0iJf+MeZ30mab/uu0gL1xcNxioWBBmipolySlnzlLc/Fq244VroGkQlfgIUQWOj4WO8X21jqWleSlKvz8Tz1LBO5hM7N7wmO5Av2U1e2FOFlmdTUA9fFLUfm8LJrjxR9kLftzx6/gLseOasCmnRNXT7bqPugML97yFBoP6TRLedFT2jHNwqQvH5pFp4j4Ai5VSN/vhuXZvGbP/Y6/NU7bwEgfcC//tZvxU+95vnQQVaHc5u9PGgnUYuRMrOG8Sip5+1e74e4mNcQODbbxhLT1OEl6re635Nfw23Fxm17uSZYpD8N1TjqRwk8x1H9y90PgeuWLBP8bzJzdvxyhb0kKaxBvuuov+VeC0KROQ8epdQzIpEOu4/nCFzONfUkAS5uSfeT1NR9ldJm0tQDz8X1SzPK99/yHDx6qYLU83PitBCcHru8gcu9Ia5dkFYbfV7yz1d6IVqeg9m82FCUZCVNPc0yfPnMZbzi5BEIIeCk8ruvnlnB/7z/afTy2guOkAL+Qptp6mmau3Rcdc0W09QfubgOR8gYEcJ820cv39K57bs4MtPGYqeFNJXvZaitJ1TEiuIe1gYFqSdZhsdWNkqE+PrbrsHf/bY78KMvuzkvL+ximJQ19TSve8DXtd/5yuP49Klz+Vzw4LsOjs92cHptC6t9Gdk+y9ZErqnLDWRy87uydBSuLZPrUN/UJbLmdwkhhAvgPwD48wDuAPCjQog79rdV9TBp4RxZZv4NNzVzwqe/aVGaY6kQLaWph2j7rkrFAIrtN6ui7Du+C1cItNgCasqHLWqdk/m90CzCJC3VsjdB+dS16O35doC1QahSyvRAOTKbq/ay6PckyavpaYFy9MwZCi2WNHUBgd/8sW9T9faBQlM/dVlqHA+cX1PpLWSmNZrf24Gq+AZgxE9J+b7LnRauMPM7wXcd3LQ8h5MLM+o4kfHJxRkcmWmP+PADzby3uVlo3JtDaQoeRLGq5EfXWxuEGMZpyfxOwsjqIFQlV4/NtLHQCbAxjBEnKRLIvl1sByXfqrpGuyjQMYylNscrGPIAK/p7pTcsBRG6uSsKADxRjI+2wfxOmAkKlwdHGBZanO84JU0dAJbz98k3Vzo2q5E6W8ivW5zB5VxTT1Pgd7/+BHzHwZ3XHc3N76MV5Ui4aXmO8tm6jsCrbziuxpgOOidKCk39Iw+cQT9K8JKrl0q/IXAryOWejNbuBp56T10WKPfopXWsDyK84qQUZqlf3/2Fh/FvPnWfMoP/xCtvwy+++WWl+I4oydCPE3V92UfFvgIPX1zHDUuzJbcFVTKk0sYvOL6AW4/OwXEkAdMzkhuGBEYSyNcHIa70QqWUPHxxrZTSNuu28RdfehNctmeADJQru9ACRurDOMVvf+Ux/MF9T0lSz8cpZY9c6Q2VEE7PeGxWBv95jkAv3xVQmt+L6HdAbiA1o1kZgTKpk3JkNXWJVwJ4NMuyx7IsCwG8D8Bb9rlNtRinqQtRUR+epblx07seLMcLnyjz+yCUJO0ItdAfnWkhSYCVlap2yAjpll/sGf4H9z2lKlMRolgj9Zgqt1Ggk2PcjYtgMr8D0sy3NojUZNSl3TQFApaRVwTKSZN6yys09TSPeOeWCtJyACkcmFwiJEiQFvXghTU1EevM7zOBh3/9/d+MH3zxDQAKMilyd6WmvtRtMfO7U+qjv/ma5+NnvvUF6jMtxOTrAyRxm4SyJAF6Pai0nY2c1Hvc/J7/T7nZZfN7kVJ4cWuAIN8ukp55Pd9sBiiEMn3RpM2C+lGsLDYnF2aU9lval1r51EOsDwv/Je1GmGVFdgIg323bryL18vPxPiEtKnBdZUFSpJ6TBDe/03ih6Gf+jm9cnsVmGCNKE5xd7+GPHjiN73vhdTg228Zsvm+C7lMn4cZzHBUbccPSLJ5/fAFn1/vYMuyMpwLlkmKzoNWBJLXvueMkgHpNfWVrmG/gk2cPDKOS+f2ep6WvnEidhGOZq58qoe7Wo/N4fS7wUvAiRb93AlcRV9tzcXy2jadXt3Df2SvK9E7o+jK+hMb8O7/75fi5179EXtcpzO9rmvl9riXN/uu5pn778UXMt308cmldaepJIucEgYTtUNPUAaDll1Pa+lGMZ9Z7ajtmQArQZH5f7ARF2rHn4qdf+wL86g+/WgkpvShBN49tAordKjfDuBQkR5hnPnUhpHJkNXWJawE8zT6fzo8dWDQ1v3PUkSItenWkvj6I1GJO5sWjM+1KLZ0w15Kbo9AC+sWnLuG9dz9a2ulJmd/7ZfP7Ru7DGjdQi5K2ZUlmoR1gnfnU9UA5oKypP+/YPG45Mocbl2cl4bO696S5cJeDbn43gQiC2vDopXW1yI2a38ua9rfccKwwvzPpPU5TbAwjqal3A5WnTuWBCa++8Thed/MJ9bkbuFjqBKX6ATxPn4OsGFkmzdEbwwium6e05QIGmTMfzwO1OKnPtmTO91pfaupHZ9oQQiiivtIPlcBE5Vr1DWBUudAoySsLuvjn3/1y/IvvfjmA0UA7QFpQeC1x13HU3gnc/N4JZFoejS1u5aEFVNfUs0zWAQBkVojvaqSuzO/Mp5730WWW904gt8jqcIjPnz2DOM3wV3KXSDcoKvLxOcbdUdcudOEKgVuPzqkYCtpljkMFyqWy7gMF+L31ZTcpoVMPlOOa+0o/19TzMZgBJU39ntOXcf3ijIpz0YMB9SqVQBF/EjHNn8is7bv40ZffjDSVwsfzdFIPXGzlBYr4JkSFVi2fZZ3FbpAWe9VcB8/kgWvL3QDHZtqy9GwqNfU4HrVotnKfuk7qVFGO7tELE5xb72N9GBakvtDF6iDEY5c3sNQNMONR3IDMR1/utlSkPwXKtZlPHZDKjUlTl/tppGqv99hq6gomqhvRuYQQbxdC3C2EuPvixYt70KxqjCN1Mr/rx0yBc/x7ImtezSwokbqcdLTYHptt1woLgNR6uU8dkAsGVacDAMcvS9ZDTVMPvEJTN2nD81qkfnFc19RHJwYn4+uXZvGbP/ZtWOwEktS9okSuSusxkLp+HQ5yQQDSFBynGe5+WkYKc00dKBOLPjmJYOQe64Wmf3SmLbXTQaR86lX4wRffgJ96ze2lY3qRojCUfUzxBmkqyXpzGOPIkXKgHGmhtMkOr1fvCIH5lnR/XNwcqN+Sn3yNVcFTJn6d1HPzez9MMMyLEF2VB2PJ49z8PurWAYqccR7ICJSj2AHAh4v13Ho9w8zAhCSRVp0ZInXXUUIkuaiogBM3v8+1fJyYbSuS5IFyN+ZZCZe3BlgLQ8y1PLWbHo9+5yDhBpBj5Ge/44X4Sy+9SQVDnjL41UPN/P66m0/gjc+/Bm950Q0IXAcC9Zr65a2hNAszIYfGYz9K8NUzl/GK64o4Ej0X/6krsrAUX1f0PPWO7ypffNtzce1CF2992U0AgOcdWyhdj4IIB3FSsnwIgVKgXLGepEoTv+nILB69tI61QYjlbktpyVFefCZJZKU5TurkU98cxiXBlRefWR+GSLJMFbch8/trbzoOQAbLLXVamPXzQlnCxVq+BHZ9F2sDWX6268t4JtrTHSh2PtTBN3WxmnoZpwFcxz6fBPCM/qMsy96VZdmdWZbdeezYMf3rPUddGVghzKTO/9evBRSpOHxxLiJGQzVZFzuBilYdR+qLnQCzgY+u70IA+KZrpA/va89cUb9JkWvqw3L0O22GRYuYKfceGM2p5/deG4QqalWfGFlWlIrUIXf1KszvRBqzga8mMpnfhagmdSGEshC8PDdPfu5JKRQu5f1H77IcuFVN6mqHvE6ggqXOrvfQ8tzanbleef0xfO8Lrysdc91iL3Qg32J2WFgfsiz33Q1lIRkyEcr2t+AKoUid+9Rl+3ys9SOcXe8psiLCW+2HSjusMr8vcPN7zFOOcvMk35e6Yu92VxRbDAsIVV2O+rfYkthVBEraK9fUidTJShG4LtPy5bGXXXsELzyxWMrMaHsubs23+6XiQIDUJMgNcqUfYmtY1sZoo5A0zcrmd1ZhEZCC2gtOLOKquQ5mAs8YLEeBclEqye3mI3P4hTe9LK9VIdD23VFSZ0JSmKSq1j9/LgHg3rNX0IsSvOLkUfWdHgOjNPXWqAWQot87voe2W5A6APz1b7kN//SNL1XzhlD41MtxJHTdYSyD90izjtKiiNXNR+Zweq2HNLdMdn1pEYnSTBVuqtLUN8OoFLkfMAvklV45up3I/8blObz82mUAcj2iNdZ3XDXvuoGnMkRofPFtpbdCGSinr31H871yT11ahxCZjX5n+BKA24QQNwkhAgBvBfChfW7TWNSROn2vg/vP6TP9bzK/9/tFwY40KxbTF121hJedXIYjxFhS/3t/7kX4u697EVq+i5//cy/Hv/jzL8e1C118/ZkVxGmKLMuKbQ1zaVWvOsd96iZzv771KeHoTBtJmqkStLo5tSr2gEC+NKAg9W7gqY1QSubECp86UPjyX3rtMhY7Ab72jAxCWOq2KvPURzR1lrt6dkP6sI92W2pb0AxQxWeagnaq4u0m7Zxr6rOBj42BLHVK2gQgSerITEst2nNaIOJiJ8D5zT7Obw6U/3eBkToRCZnf+0mZ1GkB7IVytz7qH1VDgAXK6dXXaEgSidNz6ibztvKRO2rOmHzqaSoFQJoDvuOMmO7vvO4o/vNfem0py6Ltu6r6m+84ylowE3ilIMQNTQucCTzEaYYwljskPrW6iX/zyfuwNYyN2pgQArccmSultfGNkai/MoyOrZbnjgSw6iTfZeZ35NfwXUdt8vTiPOAOQK5purgxH5uFpj5K6nG+OQpP5aJ30vJcvOn2a1VKIhXP6voyYM+0XbAi4GGkItRLmvpykeq53G0prZ/M7yaLoPKpD2RVSjUGWKCcnrLGrRI/kMfFLHVaavy3XFetm13fU4WAuipeRab0ZVmWb77k49Klol1pCtzQWUbLc/DZJy4gSTNkGFVs9goHitSzLIsB/C0AfwzgAQDvz7Ls/v1t1XiMy1Unbb1OQ9evtazM7/kewiHgZAVL0GD+0ZffjF/5wVep61Zp0ICM8L1+cRZCAK+78WocmWnjm65Zxj2nL+P7330X3veVx4tSk5ALnL7A0ECtqmc/V+FTJ5Pv45c38nzWYuhVZQhwtAzm97YnU2+46R2QpF51LdLArprr4B2vf4nKgad+Npnf9YWbp4995fRleI7AC04s4oalWUVgZH4fJ/ARTG4a3sd0nbm2j80wKvZSD4p+PjbTVn2kk/p8O1AbiZxclP1FPnVO6rQAbgyj3KwtG8U19WFc+JIdIfJqdgl+40uP4D9+9sER8/uRrnz33KdO5lnqK6DQCluuq6wWitTZc1KMgdLUPWckUI7AKxu2fU9p6r5bWArm2n5pN73NvO43ge6zlUdF/5M/uRu/9/Un8cCFNWORIECWjj11aR1ZluH3vvYEvus//TG+mG+nDBSCjz5P2p6LYZziq2dWVLyHPgdl7njRPieTVgfaG1xPb/2hO27C218tC1ydWeuVI8WHQDTMST3fLIpHv5sqGwKFW4h+J1PttL735ZylqoLHZtqI0qLexU1HClJf6uZbGof5VqpuWQCkewaegzST/v25lq983j4bq3oZWD4Xvv2Wq/C9d5zEq64/jhsX5xC4Do50i42cuoGrihPRs83klppelCDN5Jj0fdl3gIyDmeu6eMXJo/jsExfUHNwv83uNgXB/kGXZHwH4o/1uxyQYt3CTFsrNSdzUys+lwXXNQhffd8d1eNUNx4trsDQg3VdG16G2VJEafUfff9M1S/ijB04DkBOe7w64NpCLvesItR82DdQqQabluVhsByVNAGA+35VNo+l9LKnnvi6Aa+ouXnvTcSzmWiQt9nW+bLr3VfMdvOzaI/hPP/IaPHJxXQkZpuj3Sp96FOOe05fxoquWlEZz1XwHZ9f7KlCOv/c6VI0fel+0j/xcS2rqRAp8HBybbQP5XiIjmnqeqgYUVew8V+Y7rw5CZY4l8l4fSFJ3HYEwSTEbyCJA/bzULCejtudiECW47+wVbIUxvvn6o+j6HpJM+jSPz3ZwqTdQ8QxE7NI0HI2Seu66iGOz+Z36s/CpF+Z3nYQ40ZTN746aT7OBj9mWrIC2MYywGUZqe1ygMGEPohT/8bOP4ql8e9HzG30sn1hAGJYzNwCZy/374VP4j599CL95zykAwDPrfRajYg48bXkOBlGCv/+HX8LNR+bwaz/86hFrWYflTwOAI4q0tOuXZkYKo/zEnc/HzEymMkiWmOYaRVIoAHLze66pv/Sqo3j9rdeMCMwcWQbMqJ3uRkm97btY60Vq3h7ttvHMek/ucJgX7KG1hXzqW6Sp59Yazyu7pEjYvrw1xFVzHVVrwHdlfYKW54xq6pqr4R++4ZsQRcA1XeAPf+KNcOGqANWu7ylXI82tuTw4lbIZZgIfQSDHJyD/DwLgNTccx2efuIBH82qCvtXUDy/qdmED5KIcBGUS5xo1J9ki5cfBO97wEhWV6zijVdp0cFKvgq4Rvun51+Ln3/ASLHdbGCZJqR78pa0h0qw8KWji1j3zf/yRV+Mvv/zm0rHjOamv5juScZDpeaymHuuauoe//bo7VOEWlaMuqvuBa+qADPz5njsK37bJp66TOk328xsDPHxxreRnJBM8ne959WOD94FODAQe0T/X8rEZxio2oauTOqS5kAqKZJncHnaBBYwRqQN5rEM/lP5h11HjamMYIWCVtqhSWz+SY4RbMsjnuD6IsD6I0A8TdANXuZBO5NtXUkobCTuFdp0TsjKnu/D9wrx7dKaFGxZnS/3hujylrUZTL5G6g5OLXQR5bjZpg3MtH44QMrNgEOVBWN7INYZxgkcvratSv4Ak/LW1MvEAxSYvv3nPKbVjmdzGVg4GniLK0fakprgZxvj62Sv49GPn0Y+TkWyBUfO7bCN/t7y/hBBK+OXm6CwDZmeEKunajxJ0PA9Xz3fxT77rZSP1Eugcmv80PjKMxp60c02dcuPJYkOmeCJ2gJnfc7eEJxwEwaimTmPk8tYQsy2/5LKh/qM6BC6zxFQ9Q+C6JSWoXJZYXnu25Uu3DKuGyZUairMgBexPHztfatNew5L6FFBn8iaYSN1EYnWmfD6x9VQVuu44V4Ce8hV4Lr7njuswE3il0pWA3DYRKLQ3oFiE6oSH65dmR4rLLHVaapLpke91/QHI47RAAIWmrgs2vICNqd4+IDV1vRqffi8hioWc8pA5XEdu4PDHD51BmqEUbaxIPdfUJyF1zzO3m4RCin4Hil29eB8cY7vREQYDGY9BueqLnaD0bhY6gQqU45kRG/l2liTAUCnXIlCu7AoaRAnWBxFWB6GqxrXcaaHju8pq4zKfuutiJLit0NQd1W+uI/D7P/F6lcOt3oHLA+WcEQFB/c4pzOzk9pGb6gi4uQmehExZvzsa2UWQrknR1Edn2oWbKa9HoL+zW5hp+W/l9Qn43vRbkVlTb/sunlmTez4IAO/+/MMY5vue0/TgKWdAToD5dUykTnO1qFJZPJsQwPKyHOO9MEaaZbKWfs385vOMkyC3kmSZNL9HSaoyRI6w9EIaPzcfmYPvSItRSVDxHLTbo6RO7yLJMsxpPnVqAwXK0VzUrVZ0Lbo2J3Vu+aL2zLV9bAwjrOcWgPmW1NRJ8KR+PDbTQdd38XRuybGBcocY40idL8pAMYj4gs8D5arAB4lejIPfaxypm0zBZEKVOyTJRlzIfXrclB6MIfUkMZOY6wi1oYaeo15nfiftu+27KnJ4J6R+53VH8frnXV25LSK1wXVErs2Zf/cPX/8SRIncje2FuSYGFPnO5FOvaocOErZ8v/x7ep+U2kNax/lNInWmqeeFYLhmEsfyXBLM9EV/Ia/0RylJJCzK6oGOIo+O72K25WEzjDFMkhJ5tn1XaurDEEma4dLWAB3fxfJMCwvtQKWOuaLwqXteoanrKW0t1y2lMrmOKJmUyRJjCpIy+bj1777j1qvwkmtkFLTvOGrRJ9fGllZghM4LE1lkpeU5uCav0x64ZgKcbfm4fmkG33L9Mbz02mW0PZnPTYLpIKkyv7tq3t1+YgFPrGyiF8Voe24hYLkunKxoH41VoBmp666xblf24VpePKXjebXrCK0haVpos7yfABKMHYRpytIlC1KnefVDL74B/79XPU8VxyJ4woHvj0a/X7vQzcvb+njpNcvMulMIiOSauv34AgLXMaag6QoQ9RGP3aD+ng2kpk4ZQbMtH44jt13e3JTzizJ35lq+qoNgfeqHGHVSLR3XI7JpcdMX/Lpr8UHS9lxVcYl2x9LvWdUeE6kHniwUIQRwZKaN8xt9XNggUme58sysbLrP1lbu7xxdW3Bsto3zmwOjpk4cq8cEEKkHnqOq3fUN/mS6Dif1sOxaAwB89wtO4rtfcHL0ixx8olMdcRO+7Zar8Bs/+jqs9oclEyUndWqH3kbTJZU5MJCaNT2H0ljzxY2i9y/kUffdwFXuC11TpzxfecxM6vNtH4+vbGCQl/nkgWWBV2jq3cCVQXrDaGQL3q4v04DIF3luvY+r57v4sZffjPPrQzxxWUbkc01d1ufXzO+MfH2/XsB1HODFJxfxlhfcgBedWMbX83oVVaQ+jBPlkvjxO29FmsrxcfuJBTz/2CIAuVif2+gjQ9maVOzTnajUravnu3jo4no+Rsxz4T/80KtUIFc38FSuNlD41E3md7rUrUfn8cD5NVzcHMj65IEkLF94CIdyp7BBbpqn61y3NDrxaAwtaRk1SVLEoPiuo9o32/LGauqOU7hHeNsBNpY9R5n0AXN67stOHsHLcvcVd8t5eVClPgZecd1R/M+3vRlLC/JeH3nwTKkf+fv/iVfehh/+phuNAjx3IQDFvOfPQ0LGfNtHL9+LHQDmgkCROvXjcEhbaQcqet5q6ocYdYFZZM7lizsNKN2vTv9Xmt+5Tz3wEMdlX964lDb6jcmyQKkiUZJiuRvAEYX5nUv2LaapVz1vVfuP577VKk2drsvPJ+277Y+mtOkuCK6p16W1VUG3GLQ8d8Scy3Hd4gxefPVy6dgLTyzir33zrbjz2mNG3/7GhiRt0709r7DocJJ33aJdpIWfy0ndg6cKZ+ikPhjIhcf3iwVVJ3XSTmmXLd6nvuOg5cgAMt91sJBH3g/z6GVC23dxPhcAAeDi1gDdwMNLrlnGt998tTKTU5666+o+9bKmHuSBcnVjyXGkoPEzr35Rvj2v2fxOx/QAOporv/rDr8b333GD6ouzhjK79KxhnObxBC6uyQPISFM3WWOOzLQVUc0EXmnLTwq60n3WnJSoMt3Z9X7u/igi0oUoLBUeJ3X2fmkM0RikAks0FuIYaOXKs+cIFWA2E/iNSB0om99bjNTls0lSp0A/vo+FifA4odLmP3o7pADC4iQ0nzp//8dmWrj9uKbx5DCtg1JT5+Z38qnLY+QWmcs1dUDOr6NHWXZKq3jP1qd+iNEk+t2UrmTyt1aZoB1HK63puSMkTgKE3pbNzXL5UZMETKk0sjCEi/lWoBbqBUNOa9NULQ4iHb3uO7ceVC3kgSt96lkmzbuLnUDlzJqusx1S12sHtDx3Ymnbcx28/dXPV9u1mt6xiQDoHZtInRMcLcjfOL8KVwgc7bbVc+rm9ywrzj8xIwPEXnjVYum+FHjXi2SecTlA0EXguPk2sqLQ1LXd+jq+W8pN53UU0rQQ4nRNXfelFyltUkubmTFbW+gapXfly/boKWLyeq4xBoWuQ/031/aVqXjGFCinNHVHbZMauE6jegRd3y0VRdmsiH6nPnCFUHncl7YGpU1v2p6XCzWyjbRN7VInKAkjNIaUpq7M7wEGA3msnYeW+K6jduyb9f1a5YAL4TMlUi+exXFkv1HpWV4cxvTcQJlQPRZUqZM6x4hPXQk6whjkpz8DV6q4ps6LE1Gfnlnr5fu2j1aLpGvNsyyT/dLUrfl9CmhCcLpviE82Ts50LS4NF99L31mUyqpSJs3ccYpUC0IUyfuTKdakZVMqjecIdHwPJ+baqo74SKnammh1fmw4LDQBgJF6a9T8Tguj3pfUV21fmiWjJMWZtV5pIxT9+U3XaQrd/J5s5yIYFRBM19eP60FBQsj+4xYE6runrmzhpuVZWQ0rv0/bd2XtcbY1JgkGS502/vh/e+OIeZoEgMtbsnws1WAP852yTi7M4uTGDISQVek2w6hUHhUwp1eq2uRZkXpGJlUKCGxVaOqtXBOdnweeeaY8hnhf8P79/hefxIzoKMGBo+U5iNJRTV0nDW4enjMEyg1jSeptz8U18+M19VJ/BJ4KoAKqze8tqhDYDVRgWQZJ9nEgb0JERn3sCQfXLczgyEw5fYLGkK6pzwS+IvUT+XYEvuPgwnCgvm/iU+dtkP1UaOpC5Jp6Xnq27bulMaM/dxQBgSiuFeQFYfS1akQZMQTKyT6qp7ZqUi/6llxvnNQXOj5EbnHiUJq6QQHaa1hSnwKqCIRLtGRC5dGWuv+YrgUA6+tAp1Ms6gCrp5ymatDqg9x1RzcF4QOQt4mj5clAtFbiYL7t4NZj83goL1ZSCpTzXGRhcY1+P5fKW6PBJ5ubuYUhP51IXU9p083vaSrPnZkpviNNLExSnF7r4aXXlM3e+rNul9R18zvl528HdbUCTMc4UXHBLwiKfuVkQznXlMvrusB7//K3la7JhceOQXMhIru4OVSmW+mKkaU8f/iFt+AnXnWLJNm2zCPOUK6WZSpQ0nJl/XbXBWbbFCgnHy6vqKnyeIk0j3bbCFxHEUWrhRHwnH/qEyGAm4/NonP77OgJ+fPE2nvkc5Cgb4LDzweK7Yfbvqv2tg9cc/S7jq7vlfKntyo2SPIg73Wk2yrtMNf2XSVg0s5rhZYq8Ldf/WLMzo4+I73/LCt86nOBj3Zbc1e5DtL8+hQIpisHBJ5+6eVFX8IkHSF1eq8bwwhtzy09q054wyHgo6ypV5nf+WcaK7pPXa9YaQJ/94rUVbGj4vxZRepbODHXqVxDAXPcwF7DkvoUULd485evR7vTZKvzXdH/tHAHnoNehEpN3RSYpQeEVJJ6nCL05GLOtb1SnrrrYIDRqO7BoAi64WkePFjreI2mzsmYthrtFGW71QKxGca4sNGvLIrRJDahDrw/2zm5bQd0b5NA1VRTdxxJgJ1OkQtLW+4maaZyoTmp69ck/3UV6ZDAJs3vRUrZxlAulK4j4ORtm+/4KohLT2nT0fI8JEluXWjL7x1Nw2lrmvqbb78WLz95BG1HRl9TVHEcF+TDiUh3PVVhoROoIDm9f3TzO2HW4Cum3HIZKNdB4MrI+SZjrRt4JQGRtl3VF36RWxSWZ1qYa/twhUCSyTQzIl2lqQcFoUmBcNQdxa0RNy3PYr7t46blOfg+cPx4Qc6Usw/IgjLjnomPNVkqNiyZ3zmprw8itP0yqY8zvxfPVP6NfqzYL0Aj9Qp3C4FbG4BijSy2Mi6+JGGvFyWYbwdGUqfPVlN/lsC0oGxuFhoJIQikFs1NiLqGZlr0KYgKKCZDx3dLJnr6HZn5KYjO80arMplIvZ1HCEeJ9CNTkA5QmN8Fyn5RQAaKzM8DTz5ZkAjdSw9Eue3oPF5743F8k0HL5s9P7aZnIv8cADyxsokMMJI6n2zbIXVdSHr9bVdvm9TpnfLrJYnZPWK6t25mLiw8AnOBj9VBiFuPzquxoRc/4deoqwHAtVMyZfKFkvfjfGfUJA2UTZ2zgUx76/iuahc3v3PogXKe6+CahS42Nor2zs0Ba2tlUiciakLqSQL8rVe9CEHLrMXy+TZbqakXGid9bnku/stbvxVH2h0j+dAOe2RtqNIc9YWf5veRbguOEFjqBri0NZRR8Xk7yadO76kqPVO31Fw938VH3v5GFafALSF0X9cReQzFBKSeVyU0Rb8D+a6SnlvycbvCGVm/OoZAOZN7kaNTESjX8T2sr8u1yQRduaF1S2nqvoetLSlQ8zmy0PYrSZ3HvADlGKi9hCX1KUAnkDSVZul2uzwog0BqtHSOKcDGNJloAwugWARMPiO6ZpYVKRY0ePmib1oAW56DQSyj3wPPUaZdoLzzGmkDjiMH/MICVPpRkshjtGjo9+0GHn7p+7955N56TAGRH9d227n5nXYhO2nIx+UTtcqnXQf9nL/wTTeO/EaPE6gCF9boOeoq51HbeS0DDn7eXDsn9SNzitR1lwsJeERcVSj5jmn7Uo8WysJf7PvSp07gCzQtrB3fxZGZliR1T9bHDkNgdqYIPirNh4oqcPw96IGGJk2dx54kSeES6nbl/ef9NhYKGXXkXkpTb5k1dbJKrOd53NTeW47MYTg0v88RUufFYhyh3AH82bOs6Eu1H3ynpUid0Mk1aVoDePloDi4Y6tDHRDkoTNTOHV3LJXdaSyP1QlMPcWSmXdLOs9hBrwfMMo9Jy3XgiLziXAWp62ttlU+963vqHdA1NjakkGjqA1o3u8wKMhzKscbHhb5HBL8WBcoRbErbIYb+gvmuWhy8AI1u+qsaJASaRKocYj749EHO/fZEkLrwUGV+T1K5nWfgOljoBCqauth5rbiQEMA11xT+3m5XCiykRdX5nQhbW1Jr5WRMmqyu5dOCQaReZX7npL4djGuzqSSoCZxw6G/aMtQE3WKjt4X72udaPuZaHo7NthWpmwTBquBDaose2GPS1Olcx5E+dUJ5oxT5+/mWr4Kx2n6Rlkaauqu9lCL63WwaB8xpRyZSp74bDqWgqRd60mEiPNKy2p5bMtdTVTrS1PXKaU0UMq6p6/uA82vRtY/km7Is5Rs76SltjlP41qt8t1WkbmozJ3U9NkaHrpBQwRYaB3QeCW1rA+lTrwuUk9ctqvtVmd/15+loPvU2EzBp/wCgyCXna7JO6vJZingFWsNbnqMKcimrZcV6bUqF3I4bcCewpD4F6AON/MikcfLfcVI3mUXpN/w419RpoHRZoJyJ/E3n8nvoCz33G9IEufWYFGtboIWlPFz4dbvdonoZUF5M0xQql5ojjgsNky/QpI1x4YTu/fjKBrq+q9JzCPoCtl1SH3de0wpxdC39PVaROgk23NSuL7zUJ7ccmcOd1x1VVhPTvu08lsE0zjY25CJXMr+TT51Mmk7Z/L7QHQ0eA4qxON8OVOW6jufJtLUWMNfJSV3T1OfbfmXaYNV71DV1/XdZhlJ5UT4Oe73CimQiPBJwTBXIWp6LDaWpl4m4KqWNX5tHiVeRepoWpER10kljb/suvuOWq/Bjr7hZEZ4yv7vmQctdDPpxvV+pHfTsVRo+QfepA+UxwV1mm8MIHb/8nvVdGuleKqK/RlPnuPXoPG5ani2CPN1CU6d4DKBYB6vckCQ8Bq4DV8jqdjTXhRDqnVVp6vQc+pa2m5vmtW83Yc3vU0DVwqMvzHzRBsoTgy9O3DcOlCen7zoQkAtLPCy+Ny1SrlvWnqvaCxQLFW22AADfdM0yHrm4Dt8pm7hM12i3i5xoahP9JorM2q0Qo2VySVPXLQ4U/f745U1ctzi6E5W+E9pukDqZz5uWfQVGYx6CwCy5U3/xMaIvxnT8HW94CbL8Ilxz1duqpzDyd0LXaucFdoasShyNBS/X1Ek4LZnfDZr6XNtXpN72XLRa8t0XeerlB/qxV96A2+ePjbxLap/efwTTnCLwuaKni1IJYz4fSqTOysXqkKReBMpxmPpfx4whmhooWzyyrNB6SVNXpO65uOOqRdxx1SI2NuS7pfK7VT51oN7dw8E3t2lifeDZPGrTH6aZckE8A/JAuaLfAtdR84AE0DiG2lLWpKnTdfn8Odbp4rf+yrerzy2lqUtSNpE6lSDm6wWtt0IILHSkcMrvM9fycaUfVmrq1FY+duLQwdKiFCR7vfr+nCYsqU8BJlIPgtHCGbq/V/ej8vN1qZI0e7nJhgshRGnBMpF6EMjBpGu93PRPv+cLFS3Yf/nlN+MHXnQDRCxK+xWb4PuS2E2kTmZnPTDG5H6oCnR78bWLuGlpDo9f2TCa3rkGx683KcaRetOiNvwdc5j2eqcFps78TucWO9EJdR8Tqehkz8+la9O4m2v5GMZDFbdAGiDlCpPlaKFj1tTJD7zQ9tVucLSoLi8DMx0piLpC09Q7Pm45sjDaeExG6vq4p+DAKuGJ/tfPm2XV33S0PAfrodn83qj4TInUcysbUMqrzzLgm687hp993Yvx4quXAADL3UJIItA7v35xFgttH90KqaJOU9ePkamcSGkcqfM1RO29zszvQoymPZIbI04zRdpAsd6labGVa5VPXX9na2syWJe6gMZlR4vgp3vQmqyvgXy8/Jvv/2Ycm2nDwWgQJbloqiwIXFN3hYOFBWkR29rCnsGS+hRgIgJaNPUFSD/H9+VL58dpEdV95Y4jt6VsaznqnBh5WyhQjwLZdG22FHBSqiSWa2qOzFnf2Mh3wtJ86hyeJ4Ne9ChlHoXP3RHcb6cHyhHB8cpqs4GH//CWb8WfnT5jLP1Yp4FNgrrFjNdgb4IqUgdG3RN6LIBp4dUDD/lxMhXSObr/nhZNnuPNSZ0HY9HC6DtOaeGba8uSsRmgVZTj5ne5qNGmIDIwSZov9Xz2KhOmaZ7Ufa+PKVqk43jUOqHfn47JOA65gY1elW1lRZp1V7Z6pf6h75sIeiafOu0BTkhT2a/fc/v1IK5fyrdLbWkpWr4PvPq6E3jj29+Izc1iLvExxQUXvX1VpD5bQVr8eemaNOZM5nchiuBWoIgDCFwXcRqXrAtJImtSxHExljxXjMwf/TONZ64UUXxGN/eJ64IDX2tpbOvuqecfX0CaSisn9Ru9s4UK8zt9ngk8lYZIgkmnM+oC3U1YUp8CTBMgCIriK/x3ekAUpbnp1+ISKTfNkqauX9M0OINA+jRp0anK8QV0TX108W25bmkhN+H48bIm5LryfmE4GsVMBM8j9OlejoNSkAv1l+c4pb3POfZCU6dnqirKUQX+7NQn+gLMyZbuZdLU+aLE2zw3J/3kPLdf9xnq7da1C71sKy+sIoVKGci0GcYjmwsBUovh9ef5/f/lm1+JY53OyCKtw+Sy0tus5xfTcU7eVISp7n3SOVkmNSkhgMVOq7T3PAnYgedgmKc3mnzq48Yb96kTceoxKvTsfJ4sMfM7B7fW6AhDufbQfuQ6GZp86oHBp26CydpzzUIHi+2gNCYcR9PU8+1cW3mdDW5+J8L1PFZMpkZT18329DmKeMlhD0Eg5wutfa2WnCP6tfhaqwdYFpp6IbgC1aQuhMBsy0MvTCByy1SrVR1LsxuwpD4FVJG6aQc2XWuo8oeatBHHAV51/XHccrTIA+Gao27aDYJy7fAkKVJsRgPlihuazOy6+b1qEdNJiRaATqc8oWhxoOh33i+UW0/XaQKTGbTpuab2m0CLj54+Nu5afHHgmlOaSveI4wDHjhXncWGHo0ojFELm466uFsfqNF49NoA22vAdF70e09S1PHUhZAnRzTDWAuVyUm/7+M5br8Y1810cmykT+B0nFivruHPohDNOyzSZl7kWWWUR4ot5FMlNOVot4B3f/jJccyRQsShEBoFTPK8pBU93Z+nPQb5yygMHyhuT0Dm8zgMAvOD4Ar75uqO4/fhCKZ3SVGiI7snXHRMx0nEOvc55FanzGhI0f3/wxTfgzbefVEKG7lMHJMkKUSgM3PxO1g7PK0ezm9rOj1Fb0lQKMhsbvPhMfr+gWGP0nf+4K5KOb23lbW+Vy3iT4FunqdM4nW8HiJKhOu44MiNjnEtjWrCkPgU4TrnyFQ2gKq2DL1IkTRNMRECfHQf43hdcX8qTpsAyfn1+7cXF8n3JDKRfv2Uwv5eupZnf68Al4CAo8tc56ZDJjfu46H+qgkafqxYmjr0IlGsSQMR/y60ufJtLWiz6fWndWFoaXWxMWqZpcxhqMwlvlMJo0mi5ZsSvTQuWJ1xJHPlirGvqQshF//xmvyTgLc+08OdvvxbfcsMxeK6DF129hM3N+j6hdo/7jSnQq6lPne7BCZcH0NH3nlekwT3/2CJmZ6XJnb73/TIBm0idhAjd4gKUtyhtuUVlNX2emQLBFjoB/t0PfguSRLaJhD/eB9w6Rv8XgV+j/Wcax77mUzcJU/QslOtN9/AcB3OtsvUCKPcTbdJD2rv+7GTB4vXsqR28zbpwSrFLNKZ57XfHkVk56+vy96Qt8/GskzoXAPlcpa1459sB4oraBHSMdj7kY5m2ad0LWFKfEmZn5eChCa5L7oD5b127poGmH6fFS59o3HfItUAuIdJ9oqhsfq/yqZs09ROzXVw1X9h268iPSIyEHZpE/H5ZVi7iwieV75u3pR2neeukvh1iH6ep65aVtTW5yJm0RYLnSQLnVhJ6F8vL5jaYTKSmdDreR4uLcuHvds0CJSd17p+nhbyVB8YVBT3cEjkAxeLGF2zPcfCP3/hS43Poz1T1PX+eqvNM/W8idU7e+jVIyKRzhZDCZbtdFIYCivFH45TPiTpN3YS1NcBzyO9cbJPaakDqBN16p8+PEc079x+b5o6J1IM8+n22gaZeZe3jcJwiYwWQZYOl9l7Ea+gxQ0TqAjLzgj8Tb7Nufh8Mindw1XwHniNw7UIXQsi2XrlSdgdywZfWa/1eXCmJIuANz7sGgeeorCOTpk6Yb/u4uFlsHbvXsKQ+JXS7ckF13bL2bVpsyBwEFIOZQ9ey+DETqfNByMlRvzcvRMMXdaBsKjNp6r/whldgfrYZS3Ltjv6Z8ufJ5KabC1ut8oLRVFuvMjdPApMplYP78Pr9whxvqjLH33EUlQWsra1i20sdOpHy43XmSE5YJk2dQCZlciMoUs+DmSjX13cclqsrf1vlDzZBF0r1Y1XvSH+P1B+6NUb/LT+Huyo4wbdasu+5JnbiBEYWYDpHiHxjpZKmXr4p3a/KLeM4QNstgsmqtNWq5wFGfbz6WNCFNppXprljImK9+IzJQkLnkrWvyh2kzO+s0l0RKOfk/vLyxck696bbrsMtx2bge/J7LpToz0IKAH/mq2a6+PhPvxnR0Cl9T+Oo1Sr2qaB+MwmFtH5RWvBtx+Zx27H50m84+Ofjs21c2hoYf7cXsKQ+JZBpJ46l5E+LhD5J9QAebmoGytIjBw0wbmLj2ruuqevn63nzdN7KitTwxpnffceFp7WzClxTp53WTOe4buG24Md4sFeT+/H7mn6/uip9znVSs641VJE6LaZZVhC1KQeVX4+sKTRGdJI33cN0/6r287FEC1JV6hz9z6Nx59qFadjzoOoSBLnJlN97Lg8YGueKMfnBm2rq+nMSwXItkX+nX4vmEPUh+alpxzse2yFEdS15mldBALSD3BwMwyYsYzR1+V5kUZOW51Sa3+l56oiSCyqmfqDfcjKrEwQJRUqbVytAc6Kse2Z+TaAg9bZfWCq4kEJr2VVzXdx8oluKv6D3bxI0eLErEkA910HIhDZ+nW5XWk74XDRdl65HlkZTP1R9/unX3o5elBh/txfYB+PAsxO0R3Salv3Ypt/xSeN5ZY2NFiGTOZdPIl2apmATLmVy0Ln6WkwFOUx56vr9m4LuRZOKzOmm35GfmeD7RVBJlTBQhSqfepo2C25rYiqje0SRdLnMzlYX1uFkq2s4cVytqZuIqq59/D7AeI1WT/97wfFFXLc4g6PdtrQ0sWJD+oJH5vdxmRBVxFAlaPDPJkGYNPWq6oh0Lnc98fNJa+WLdFX/mvz6VOo28NwRLbOK1LlgAcgqZbyCnin6vSqSnr4jYVk3RXOCBIp5xa1FeowOh57SZhprZO6m70zuIH79oBR8W6S0cVKn8/Vn0vufW4v4c3DLGVCOXufrC5H73Fx5fNDfpnWTrK4mwcVE6vS7+XaAq+Y6xt/tBaymPiUIIQcM5SRSVTQTufIFz3FG/ar6ANe1azrOr8NJ3qTpE+Hza/G863GkbnreKnBS15+JT1jHGdXUTddvYnoHzKROmlYc12/EwturL5ActDhQwFBdNTH+nNwFQfepyl2tshRUaUb6wp0kowKDPnZ43MeLrl7C7/z4d2BrC0ZNnZPDa248gTBNEA4F4ri8IUdVu6rabnqvVaROcSMmn7p+Lb5I8yhmErxN7eOfdVO31DDlibofnM4zmaI5aWUZFKkr90aFxm8C9QsnHl2D1UmdW2vKAsYoKKd8vuUDqfl3UVTeeZLK8ZqUCCEwkvbINXVqC4+mN615dC1ufeIErGvifIwTaOti6pcjR8pxFTqp074IjiPP5d+ZxmcdLKkfchw/Xp5Epkk6rqQknUOLj042BCJkXaOtui8NXn6tMqkzqbqBv7QOVZomN4PSZ70gBGGSyWDSzqgdelBY0/YniXkDFnov9F2ThAAiE/7cuttFv7+J8ExmQsBsfjdptLqVR4/YJtI8uSD33T4x2x0RTF9+8ghecd0RtQNWFUzmd/2Z+N9xLH3dejYIPVcUVQfKceLkghMfFzTu6t4X3VfPDnAcoBOQdj16gTpNnacPdn23FCg3qU9dJ1B6f/SO+BinvG++Hult4/jeF1+LrN/CUrc1Ul+DEMdl15jnyVTAixfNwp3nOnCEQJplarvY2ZaPmcBTigffo6CK1OnZ+PjnVgM6xivG8eu12+Xji4uF5Y7WUBqbpABw9+bSknThmQJQeX/yPp3UyjhNWFKfIvSFwPTydfO76Rpcq+XStT5oyLRkInV98aPBywmX7yYXOA5cRyBJs5H8WY46aZ8/u+l3eqEdIpYmgk7dPU2LPf+OL/xV0Nvb6xXmNw7qR0pfNHWVSdPgLgj6XNXmqoWd3itf2HWTKgVs6aRuEhBMROR5wE1Lc/gIq1Sma8E8JawKdQSut4Py9XmmBAfPOTcJbnR9k7WF5ggPfKpqE30moYhrc3z3L9OzmtINiYzouq+96QTmWj6Lfi9fq04LJIGFxh1dXxdACFWaetWzL88E+I6brxn5nuYFBZfp5D03J0ldbyudH7hyS2cKwvzpb30+zl6Wi4DrSrIl7b+O1PVjlCbLj1GxGf0ZTFtgm3zqQhSBlLw9c3PA5cujz8Zhsjg12RNgN7AzlcyiEnWaep35hpN61UIFjAbKAeXfmRZG7q+jBYEH3/EtN8c9Wx2qNHVqK92XpHWTGdpECDqRhKGMQK/a0pSe0fcLCbwJ6hZLajNNWh44ZzL90Tl6bYE6Lb+q/4BRP6ZOnuSvH+cWINOlTkQmTdikhTQR7vR3WGV92NqS+dftthRITGOXt5tjZqbwk+rCB59LXKOlZ6giQ6490rXIPF2nqeugcULt/+nX3o6/euctlYFyNLZM4IFgdC/+/nQBjSK96bf69+M0d/5MtGXpyZPmWI06t0rABBjHAY7NtnHj0pyaP7qQAowKdlxTp880r/nvdP86odutzhPXNfVWq5jP3ALA16AqTR2QaxKl0O2Hlg5YUt9VmBbWKg1e/80487s+uHQfu2lx1v1P+uShBUv3qfOJ0lRTNy3gJo2r3ZbmMB2mRUY/Rru/VZE6N3/OzJStBP1+OWpdj13QU9fIfEfvhvdnEEhN5sqVch/wv/VgyKogOfp9lXXCRMT8d6YdqPTf0D2akrr+LE1gMr9XIU3lwttqjW5XTG3iZXbr2scFANKguQBLx6osDTRmyIJE44I0dZNrigt6HLp5maCntG1ulseXCTTvdJ96HckcP15N6qbf658dp5hj119fPcfqrudrpM7XMhWtzsacbomitidJkS1Cn3ngaVV6LP1f1U49X527NLmASBhH6mSZmdT3Pk1YUt9FmCJZdROgDpP5nU9MXWLkA5f/zmSm1APFeJlFoPCrmzSIus86qjTNKkGlbpLof+sCBmn+Jm2fFnMyG3JNnYQBfi1+HwqQAeR5/f5oLIDSRoKiuIxJi223y5pCENRXmOKWGh3cLGxaOLhZkaNqHJrM7/oY420ZRw78fvyeVYIK78NWqwgw1duqW6Oq7sd96vRPjx2gPqzT1HncgxAY2cFOv7fpffH78nnGo9+3tuRzjyN1ToJcU+fR8NxSZJpXk2rqQsh2LS5W1y6n3+nzkqA0dc8dsbjpMTZA8W50Dfyaa8qCMH+fuhWy6plM4OeR5Y1nSxBM67EJ2w2omyYsqe8iTLnC4zR1IWRONf1dZ343VaOje5g0Nd2kWGV+N0W/80E9DlULODe/TzLgTRIzQfcz6vejBZq2hTVJ8qb7UGQ7TW7uP/e8soAUBPL6REqm9utWknGaeh2p6y4YDjLrN9HUTaRO5ME32uHvko9B+ptcIKbnHgfqCyK+qtRHGqvjAhP5XNHJ1mS2Np3Pc9rpfp28drtufq8TNvj4IwIGUDK/Z5ksfsMFqCro7ebWNv29mAQjjiYE6Djjs0aA0XHEx4vvyipsjhAj7dJrZ9AxndSXl8tCMF2bz0eTW7PJ+CMLEVCY87lyxJ+xKq6DwN/HpGvcNGFJfRdhIhp9gTd9Pz9v9uHUaer0PWCWWtvtQlig+3DNBjCb302++yaaepW1gASDJsFxdH/9fN62drtcKU+/Hze7LiyUS4Fy8H5utYrURFqIl5fLmgEn5XZbRgF3OuXI2e2iSvMDioU9iswCluOM+hrpmlzToHFoMuXzRVp/j/r4S1Ppc9U3azGZ36sEPQq+0oO7+D3DUL6DurGnt5Vfjwu6QTDeveE4xfkAS2nTdmjjwoMOHnvB8+NV9Ht+UqtVmH3pulXPx8cWf3/jSFqfO000dTpn3Fw1WW+UBcZ1lbJAx/Rqk7zvqCoiP1a1jvB1cVysUhUo5REoBH8uzOv3tKT+HIeJXJtEewPVpE4wkTo3I5kmgr7fONfWsgxqEwXfQOr0d9MAKRMp0WBvQnpcMzTdj/zGRAh1pE73qioUo2N5uZjgZAWYny+EIt8vay8zM3lVvlY5x3W7qCN1x5EEt7VlDuajiH3TuSbLj+k3Olnwd0CLGx3j5kb9OiaBU4fnFdHPVaTuOFJgqsuJJ/BxwC0evD9NFeT4OdRHZVLPCVjbS12fm3zhJ02drkV9StX4qCCLEHIMcf+uDh4nwe9pWgdMz8bfkUloqFtvtkPqhMBz0M4vwAUFajMXZuheprgKHbpwY0qFbKKpcxw5UhYy+Pn0/urmNl+zdLfCXmJHpC6E+BEhxP1CiFQIcaf23TuEEI8KIR4SQryJHX+FEOLe/LtfEXl5JiFESwjxO/nxLwghbtxJ2w4Cut1RX6/vy8EzCUykDoxqs9ws1ZR46bdhWBQd0UldX2h2Quo6sTSByfRLgTKUnlJF6nwxNBEGocqUTelhvl+Q+vy8XIR1VBWTmRQ6ker3uPpqObaqgsrqyuzqAUB6ehpfeOk3Jk2dn0/kXnXPumeanS1vEKJvjwnI97e8PL5/uTYOlPOY+XjUf8dBJmEhivcOFKlsuk9dJyS+8HOhkm/FzM3vdD4ndUBeg1uVuFWNk05TUtfN81WCg8kcvjNN3VFWDn4f/kz8fjzQse5+3BXDhcE6a0RTmNKOm2rqtN40EUx2Czu97X0AfgjAp/lBIcQdAN4K4IUA3gzgV4UQ9GZ/DcDbAdyW/3tzfvwnAVzJsuxWAP8WwP+9w7btO0ykDjR72SbJGSinNOkLFSf1JvcgDQLIq2+5LjxHIE2E8g3r5vedaOr8mcb5Rk3mdw4qs0rEbnperlXSNau0FdN9KOdbDxKqWhRNgYDbQZU5F5BtOXKkOqfb88p7s/NrAuUAo1ZLWhjW10cXWq6pc7LRtZe69DkTqevQq/LpOcVAc0FY7zdueufCSVVgFVD+re8XAlKnNepT1+cCvRMuEOkWMaBsfqfz2+1ycGYUFfnSprbRZ5N7jPpC75txn3VSJGFk3HyvI/Vu4GEmGNXU6W89joKnmNXdj/cDVfLk5zWJ/am7vj5euU+9TshxnOosjr3CjgwEWZY9AAB6LWQAbwHwvizLhgAeF0I8CuCVQognAMxnWfa5/Lz3AvgBAB/Oz/mF/PzfBfDvhRAiy3byeg43TL4ZXWIkLYkLD2RGqgMt1tz83vLkXs+kIczOFvfhQXJNSd10HJiM1E2mX6CoX+55o/uR69fgiyC/LvUvFawwEaReJ70ONNl3OmK5VlZ3r0kWDt73PIr/qqtkap9O6lWxHPwdkNDT6Yx3a9RZHzhmZ7dvtjSROjfzcqG3itQ5qbRahRWhML876PflM5u02sGgTAo8RYow3/Zx1VwHNyzNqvNJWCPQ5jW8kJDJ/K4/Q5VA2cQ0rQvBjlMf0KmfZ7r+T7/2dvQHaemYHouga8RNLI16Ghxdl99/mpo6F9ir5iYJGmSVOZSkXoNrAXyefT6dH4vyv/XjdM7TAJBlWSyEWANwBMClXWrjoYBp4SCTJydk3Zc4Drr5PU3l/sd6OhsPiJpEU68KEjQ9U9U1TBOIkzqZaqt2O9OJxKSdUNBZHJcDCYGif5qa1Unz2OmErjMPEyYldaDafKhr5voz6GNLaZx+oambNsxpoqnrmJtr/jw6dIJYWpLHKE2uifndZBIGeKCci62tIguhzvxeJci0PBcf+InvNBbaofalaVHelJdR5YILJ8Zx5mET8VbdlwsNTQRa/dr871uOzmEwKAIpdWFdd7fUCVz8fuPWF/55UlB/mszv9HfVeVQp8kBr6kKIjwG4yvDVz2dZ9sGq0wzHsprjdeeY2vR2SBM+rr/++oomHH7QgqSbPEmT5mS7nQGkL27fefO1uOVYEY3ESdxxynt116FK09Ql9SbQJxb33Tbx9enaG5+cVGWuqu/q0qyq0OnIrR13an4f92x1aVlV1yRByUTq5G7hFgxqg24ip/4jYaDdlmlt/Ps6S81ugZtk6TPddxLzu4nUqfZ74Lgq1sIU5EXzkWvqVc9dR8BhONqv+v04qROqBMpx5nk6xq1+FLU/DqZrV5n3gbLLQBcammjqRJ4m1BUWagrdvE/X5W7PqvNovdiJpWCnGEvqWZa9YRvXPQ3gOvb5JIBn8uMnDcf5OaeFEB6ABQArFW16F4B3AcCdd975rDXP0yKskzofXPT3pCZLIg7uR3v5tUfxbbNHsblZaF/8/pOY36sC1+j7ppq6TurczNskZ7nKNwYURWPIjK+3iRaPSUh9dna0FvakcF1ZDawOphzfOtRZSVy30LQ5+dM5PCiQziUrCkXbj1tI92KRqyIDk5l3drZa8DCZtZdnAly/OIubludUqmOWlS0LnFB0LZoLYKurha++qg1ZJn+zulomQd3i0FRTB8aTOrdqANJy1WR81QlwnPD52ALk3DLtUFkX0EqoWu90q9N2YFq/9HXIBBJS6Bn2S1Pfrdt+CMBb84j2myAD4r6YZdlZABtCiFflUe8/DuCD7Jy35X//MICPP5f96UA9qXNpsAlJmq7No4NHTISskIq+yI2bLLQnuumeTa9RZboEij5poqmbtDe+qIShXDwXF0fvRYQ1CalTIZXdntD0HNMgdd3cTteuIkgCWTJ0E6rpHlWC3jRhImM6rhN+VRxGlabe9l38xl/8drzs6mOl4FK+FakeKFmnqddZ2GjeUxAomen16+nz3uSK489Fv6mae5xw6XmaEGMT0z5dX2+PSeM2ZUDo96vbtninpG4y75ssQDpoTTKZ7/cSO1p6hBA/KIQ4DeDVAP6XEOKPASDLsvsBvB/ANwB8BMDPZFlGOtZPAXg3gEcBnIIMkgOA/wLgSB5U97MAfm4nbXs2gE9eAknTNOi2S+rA6OThk7rdHk3P4cFy49ptCrDZKalTG6jWe5NrmHxjqgiILxfMVksKIbo/Vwi5+E9CRhQxvRekrgssdeCkri9YOqmbhEnT9bgPkaOJQLAbqFtIZ2aa9VWdsEjm6Xa7mAf6Rj1A2fzOxyDXWOviU7ibpNORY1S/Fn9eLpg3cX3Ukfp24kFoXsZxsZ+CSVPXj1dhHKnX1frQrSXbwTQ09aYC0W5gp9Hvvw/g9yu+eyeAdxqO3w3gRYbjAwA/spP2PNtg0pgoB1In9UnN70FQkBiZtfl9uElVX6y2S1j6wtb0HB1xbM4TN51r8ntyfygFwvG8V44mBU906AF3uwG+oE8C06JP75/GENfYdZg0dfq/zse/k3HTFIuL1fOgrtY+h14tkIP6iWoj8F3Q6HsCzUuTf5XP6yr/N33XbsttP8n3bNLUucA2jtTrrDuTWn/08ygOoAq8DXWoqzUPFIWhTJg01sSE7WrqNBcONalb7C5MpE6a5k41dVowgMIPxXNpub+da7eTBLmZ7tlEUue/N5nOKUd9HEz9Qs9Ck4/86dPE3NzOF5ZxICFkUk1d/5uuZdLUm5A6rzWfJNIHvLhoNr/v9iI3jeI/jiNL/lZ9R1YyXjSHfw+UrVs8PYqTcZ2mTqRA/cvnu+5v5p/r3hu1q27+Ok6RojgJ6HppOmrx0sddk/k/rtY8d3no0AWr7cD3R4VAIYo0wyqQy5G7X/YDltQPAXRSF2K05OtO/JV88eHSPmm1OrnuZLCarAJ1v9UnP7WvyQJusmAQqVM8gcl8vFOMW5SmgUlM7/wcU99zMufXrjMNk0Bx4oQ87nnFTnam7UZ3OkYPArgFY3nZLDAC5UWdC99119SPkabHC+gAo6Re5z/n4Ob5Kvi+rFswqaWpzjRt0s63m63TBHX18CeBKSq/Lked34+/t/2AJfUDDO4rI+jmdpPfeLv30dNxWi3pI+M+9Z1qXKQNNLlGHfk0JWKT/5hvV0mbaRxGTBphS5qm3q/07nmJzroxxRdlXqpzOJT9WWWl2K9FblrgGQd1KZsE1y20ftOz16W0cc2cb9CjV0/UyaPKJ97EJ2wSVJpgHKnrMQa7OQ5IaJ/2PSZ1c5o2Vdor7NNtLZrAROo04fmA2Wm0tSmCmawBNEG24w83gQijSXt18zm/7041depHPaXmMGFcQJEJJvOrSeOsculUaXuU615VfMfkpzxsoH6pK1yj+6XrNPU6UqfxTcI1/W5pqTz2dZ99lTbZ1Ke+HTTR1Mf9blqoiwfZCSYl9SNH9k9ZsKR+gGGSbKtIfafaM12TE7dO6sDOfOqAuQRjFUykHsfNycz3R/1vnNSFqPfPHXQ0yQDgqPJn6iRO76dO49PvywPmqjaamXQjo4MGEkbrCKNqMw+9v+oEZF0AGhcYNk5I4/fZDdN3FXET+JpRN7amAV2omuZ1JxFMm5aW3g1YUj/AqCJ1PVJ7GuZ3E6nz6kj6dzu5V9MJZyKfKGoeke66o7/VzcaHGZNq6tyFwmFaaOt8giZNnLIImtSBP6xoQup10dfcNFwlHNHvuDbeblffc2lJavLjiHU3UScwVI253WzLblU3OSzWpkPQxOcuqnzqur9mGuZ3Tuo8Al63AkyrBON2fxvHO9Oudf/xYcbc3GTPUbXAmsiqyppSp+13OkUq5H75E3cTvLBIFao0daBM6nUCsm7mnZurnnf8PnUxL3uhqVdp4PyeVeNnWtDvM01MWjJ6v2BJ/QDDROqA1D754Op2dzbYZmflPTY35We6J9/MZFr+sKogo7rf878pR3i72G3z315i0hSuqvFkIvWqILyqRZmsIrtl/jwIaOJT1Xe406EHcZnIZ2Zm8vnG4172w/xelXdfJ0juBur6YKfYz+C3SWBJ/YDDNIgWF8ufq3Ypawq+CxTXIPjGF3xR2AkmsSqYfkd7qG8XTUyoz2ZUaXJ6n1T1UZVQ1G6XNyDZaxPwXoCsZHWgmAIT+Pzi19Sx3fFN5DmtzZSagiwQVamc3B3RNJ5mJ23ZrXscFlI/BE187mKvyUcndYq8Nfn1t4tJSV0nmiaV5Oqw2+a/gwzqT9OCZ6q8N+5ak97jsIOCR+tAaW9VJvDdcv3wOVr1bqYRE1N37zphoolrZxrYzfE3P7+/AXBNYTX1A4y9XhxNptOZmcJPOI0AlEnM7zqpB8HOq4bR4vNsJJ1x0KPcOZqmSZqCN5ve47DD88ZXMqzTFGl+8Y1fdmMc1r23qu93Arp2lSCo+9R3c2zspnutSRXLgwBL6gcce7046gsNmfp5wZidRr9vV1OZRqW2Z7MmOQ51lp+68qMcTUj92ereaBLPUTe+yUzNv5/WOCQrQFVGxG771Ks0df3+/Pe7hf3c9vQg4Dn86Acf4ybKtEGLTl2gzU7RJNiIt2c3FqC92Br1IGISUu9264Woceb35yrGaep83wFg+qRet8McsLvpXlXmd1Oe+m6S+nNRYOewmvoBxn6Qep1JcBplYtvt5n6p3TCT78WicpBR9dx6udyqdzTOvPlcFpqAeksQF5odx1yyd6doQuq7saY4TjPzO2/LbuG5rqlbUj/g2OtAuTpNfRqTcZLiDXqd62mALAXPRVKv06KbbuLRxGf5XI1ZAOpjNvj80jXYady3SXR+lu1OsFeVBU734++FUG1J3eLAYq81dcI48/teLdi7VcL1uUo6ddrUJBhH6tPYAvWwok5w4oGou5V6Vdf3ZB3YjfdTR6SmNL69SGt7rsKS+gHGtBbhpiC/XB12yye3l7Ca+s6vU9d/29lo5tmCSczv0yS3cRHodP8g2B1FoWmxor0YF4ehlOtu4jn++Acb7fbe7M1NqEt54ebCw75g6ztdPVcwLcvPOFJ/rgpNQGHFqEtp2y1NfVwsgxC7Z/0aZ/Leqzx1/V7PRVhSP+DYy8VxHKk/WxbqvRSUDhqmQerjxoFexvi5hDptmQvG0/b7kjBR1+/TKN5UhYUFs6Cs+9DrhJ5poW5TnecCLKlbKNCic1B86hbTxbSKcoyLSXguC01Asxz/3SC2ce6VVmv3LFTjgu/2cv1ot58dbsLtwpK6RQnjNqPYSfEYi/1Ftyt3UtspnuuBSONQtcESJ/Np92GTVMLl5b0vc2rKltjt8fNcdK1xWFK3UKhLN6F0mePH7aQ5rJiWC+W5mj3QFFUbLO0mqQPjTfr7Wbd8L33qz3VYUrdQqCN1xwGuuWY6mp7F4YZdlLcH3fw+7YCu48cPR5DYYWjjYYbtXguFukA5wBK6hcRzvbjHdqFr6tN2Yx3EVC6TomCFwt3FARwGFvsNu2Bb1OHIkf1uweEE9y3vV2Gp/YBO4gsLdo3ZTVhSt1BoUgLUwsJie9DN788FUjdp5buVK28hYZdvCwVrFrOw2D1wX/pzSVO32RJ7C6upWyjsRWEIC4vnKrimHgTPjXm2Fxu4WJRhSd2iBEvqFha7A+7act3njqZuSX1vYc3vFgpWqraw2D08Fy1hdj3Ze1hSt1B4Li46FhZ7iefi/LLEvrewpG6hwDddsLCwmC6ey0Lzc/GZ9wuW1C1KsOlsFha7A8eR2/4+l2BTZPceO+puIcQvCSEeFEJ8XQjx+0KIRfbdO4QQjwohHhJCvIkdf4UQ4t78u18RQspwQoiWEOJ38uNfEELcuJO2WWwPz1VNwsJiL/BczNG25ve9xU5lqI8CeFGWZS8B8DCAdwCAEOIOAG8F8EIAbwbwq0IIivX8NQBvB3Bb/u/N+fGfBHAly7JbAfxbAP/3DttmsQ3YzTosLCymBRt8u/fYEalnWfYnWZbF+cfPAziZ//0WAO/LsmyYZdnjAB4F8EohxNUA5rMs+1yWZRmA9wL4AXbOe/K/fxfA60mLt9g7WFK3sLCYJiyp7y2m6e346wA+nP99LYCn2Xen82PX5n/rx0vn5ILCGgBjlWkhxNuFEHcLIe6+ePHi1B7Awk5ACwuL6cGuJ3uPscVnhBAfA3CV4aufz7Lsg/lvfh5ADOC36DTD77Oa43XnjB7MsncBeBcA3HnnncbfWGwPi4vPnaIYFhYWuw9L7HuLsaSeZdkb6r4XQrwNwPcCeH1uUgekBn4d+9lJAM/kx08ajvNzTgshPAALAFYaPIPFFNFu73cLLCwsnk2wwbd7i51Gv78ZwD8A8P1ZlvXYVx8C8NY8ov0myIC4L2ZZdhbAhhDiVbm//McBfJCd87b87x8G8HEmJFhYWFhYHEIcOWJJfS+x09rv/x5AC8BH85i2z2dZ9jezLLtfCPF+AN+ANMv/TJZlSX7OTwH4DQAdSB88+eH/C4DfFEI8Cqmhv3WHbbOwsLCw2Ge0WvvdgucWxGFXhu+8887s7rvv3u9mWFhYWFhY7AmEEPdkWXan6Ttb68fCwsLCwuJZAkvqFhYWFhYWzxJYUrewsLCwsPj/2rlj0DjLOI7j3x9pWsUWVFJLaItG6VIcYoYiFEoH0eoSHYQ6SAdBhxZ0cIgu1k0FXQXFQga1BLRYHNQOiovYVkltYqxGjRobGkVEXZTWv8M94fLGvHEwd0/yvL8PHPfec8fxf3787/7ce8kVwkPdzMysEB7qZmZmhfBQNzMzK4SHupmZWSE81M3MzArhoW5mZlaIdf+LcpJ+Ar5bxafsA35exedb75xHlfOoch5VzqPKeVStVh43RsTW5e5Y90N9tUk6W/fze03kPKqcR5XzqHIeVc6jqht5+PS7mZlZITzUzczMCuGh/m8v5S5gjXEeVc6jynlUOY8q51HV8Tz8nbqZmVkh/EndzMysEB7qi0g6IOmCpGlJI7nryUHSjKTzksYlnU1r10s6JemrdH1d7jo7RdIxSfOSJhat1e5f0hOpXy5IuitP1Z1Tk8dRST+mHhmXdM+i+4rNQ9JOSe9LmpI0KenRtN7I/lghj6b2x1WSTks6l/J4Oq13tz8iwpfWVxA9wNfAzcBG4BywO3ddGXKYAfqWrD0HjKTjEeDZ3HV2cP/7gCFg4r/2D+xOfbIJGEj905N7D13I4yjw+DKPLToPoB8YSsdbgC/TnhvZHyvk0dT+ELA5HfcCHwO3d7s//Em9bQ8wHRHfRMRfwHFgOHNNa8UwMJqOR4F785XSWRHxIfDLkuW6/Q8DxyPiz4j4Fpim1UfFqMmjTtF5RMRcRHyajn8HpoDtNLQ/VsijTul5RET8kW72pkvQ5f7wUG/bDvyw6PYsKzdoqQJ4T9Inkh5Oa9siYg5aL2TghmzV5VG3/yb3zBFJn6XT8wunExuTh6SbgNtofRprfH8syQMa2h+SeiSNA/PAqYjoen94qLdpmbUm/mvA3ogYAu4GDkval7ugNaypPfMicAswCMwBz6f1RuQhaTPwBvBYRPy20kOXWWtCHo3tj4i4EhGDwA5gj6RbV3h4R/LwUG+bBXYuur0DuJiplmwi4mK6ngdO0DoddElSP0C6ns9XYRZ1+29kz0TEpfTm9TfwMu1ThsXnIamX1gB7NSLeTMuN7Y/l8mhyfyyIiF+BD4ADdLk/PNTbzgC7JA1I2ggcBE5mrqmrJF0jacvCMXAnMEErh0PpYYeAt/JUmE3d/k8CByVtkjQA7AJOZ6ivqxbeoJL7aPUIFJ6HJAGvAFMR8cKiuxrZH3V5NLg/tkq6Nh1fDdwBfEGX+2PD/32CUkTEZUlHgHdp/SX8sYiYzFxWt20DTrReq2wAXouIdySdAcYkPQR8D9yfscaOkvQ6sB/okzQLPAU8wzL7j4hJSWPA58Bl4HBEXMlSeIfU5LFf0iCtU4UzwCPQiDz2Ag8C59P3pgBP0tz+qMvjgYb2Rz8wKqmH1gfmsYh4W9JHdLE//ItyZmZmhfDpdzMzs0J4qJuZmRXCQ93MzKwQHupmZmaF8FA3MzMrhIe6mZlZITzUzczMCuGhbmZmVoh/ALFakS3q/QJuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "mean_regret = np.mean(regret, axis=0)\n",
    "std_regret = np.std(regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean_regret)), mean_regret)\n",
    "plt.fill_between(range(len(mean_regret)), (mean_regret-std_regret), (mean_regret+std_regret), color='b', alpha=.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "cumulative_regret = np.cumsum(regret, axis=1)\n",
    "cum_reg_mean = np.mean(cumulative_regret, axis=0)\n",
    "cum_reg_std = np.std(cumulative_regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(cum_reg_mean)), cum_reg_mean)\n",
    "plt.fill_between(range(len(cum_reg_mean)), (cum_reg_mean-cum_reg_std), (cum_reg_mean+cum_reg_std), color='b', alpha=.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "TS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set new believed customer for the learner\n",
    "customers = copy.deepcopy(environment.customers)\n",
    "for customer in customers:\n",
    "    customer.set_probability_buy(np.ones_like(customer.get_buy_distribution()))\n",
    "    customer.set_probability_click(np.ones((n_products,n_products)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
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     ]
    },
    {
     "data": {
      "text/plain": [
       "(5, 300)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards_iterations = []\n",
    "for i in range(NUM_ITERATION):\n",
    "    ts5_learner = TSLearner5(n_arms, n_products, customers, graph_json, arms, environment.customers_distribution)\n",
    "    print('\\nIteration #', i+1)\n",
    "    for t in range(TIME_HORIZON):\n",
    "        if t % 10 == 0:\n",
    "            utils.progress_bar(t, TIME_HORIZON)\n",
    "        super_arm = ts5_learner.select_superarm()\n",
    "        report = environment.round(super_arm)\n",
    "        ts5_learner.update(super_arm.copy(), report)\n",
    "    rewards = ts5_learner.history_rewards\n",
    "    rewards_iterations.append(np.array(rewards))\n",
    "rewards_iterations = np.array(rewards_iterations)\n",
    "rewards_iterations.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "mean = np.mean(rewards_iterations, axis=0)\n",
    "stdev = np.std(rewards_iterations, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean)), mean)\n",
    "plt.fill_between(range(len(mean)), (mean-stdev), (mean+stdev), color='b', alpha=.1)\n",
    "\n",
    "plt.plot([_ for _ in range(len(rewards))], [clairvoyant_reward for _ in range(len(rewards))])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WegDg56SU1wK4DcAHhRDXAfgQgK9JKa8E8LXob0Tf3QngegB3APgdIYQbXetjAD4A4Mro3x0r0L6h4LAeKec8dCTQCNLm9EpZ6pbULbKwHpZ6qwXMzq7tPS0sLFYWyyZ1KeUpKeV3o89VAE8D2A3gHQA+EZ32CQDvjD6/A8CnpZRNKeVhAIcA3CqE2AlgVEp5n1Sm8SfZb9YMeqIcgK5kOddduaVoltQtdBCZrzWpS2nDQRYWmx0rGlMXQhwA8D0AvgNgu5TyFKCIH8C26LTdAI6xnx2Pju2OPuvH1xy0U1spg9QdZ2VI3SbKWZiwnvH0lQgrWVhYrB9WjNSFEBUAfw3gZ6WU871ONRyTPY6b7vUBIcSDQogHz507N3xj+4BIfaygKs7M1NLVZlbKUu/lfq/XLeFf6rCWuoWFxbBYEVIXQvhQhP4pKeVnosNnIpc6ov/PRsePA9jLfr4HwMno+B7D8S5IKT8upbxFSnnL1NTUSjxCCpQBv32kCAA4Xa2lvifSXwlkkfriok1aulTR6aBrE6G1grXULSw2N1Yi+10A+EMAT0spf5N9dTeA90Wf3wfgc+z4nUKIvBDiMqiEuPsjF31VCHFbdM33st+sKYi0d44Sqde7vl/t7PcwtEuaLnWsh6Vul9JZWGxueCtwjdcA+DEAjwshHomO/WcAHwVwlxDi/QCOAngPAEgpnxRC3AXgKajM+Q9KKcnp95MA/gRAEcAXo39rDsdRZJv3XUwUczg9Xzee1+mks+WHRaeTCFHT9q5WuF6aWE9LnRRN1+1/roWFxcbDskldSnkvzPFwAHhzxm8+AuAjhuMPArhhuW1aLhwniS3uGC12WeqElSBdKc1CdK0t9U5HxfHL5bW7p0U2hFj7lRE0Fmm9uhCqLLKFhcXmga0oZwBZ6gCwYySb1JcrdMkqMpH3WicsBQFQra7tPS3MWC9LnUi90wEWFpSSZ2FhsblgSd0A102IdsdIEafn611V5YCVIXXATOprHdu0mc8bD+tRw4CUzFbLJs1ZLA9hCNRq/c+zWFlYUjeAx8l3jBbRCjuYqXdvor4SpMtrzXOsdUzdlgjdOFhPS52s9SCwpL5cSHlpe78aDeDYsZUr1GUxGCypG5C21EsAYEyWW64lRQlyWaS+lpaatdQ3FtYjpg4kyqQl9eUjDC9tUg9DZSicOrXeLRkctdrgYaeNmsxsSd0Avg59x4h5WRuwcu5303XWmtR7xfct1hZkqa/1u6AxQJUOLakvD5d6xch2GygWVShns5TDbjaBubnBzp2b25heCEvqBqRIPVqr/pePvojPPHYkdd6wQrdeVwOcwyS812OtME+Sslh/rAepEzodJZDXkpCkBE6fXrv7rQVWajfHzYpWKwllbhZjodNR3pVB2hsEG1NeWlI3gMczR/I+9k+U8ejJafzWPz6FIHqLSylAo5N6lkXGY5trBXK/b5bJt5nR6QAzM8CZM9lJkuvhfqe6C63W2odjOh1l9WxEIblU8CWClyJarWSp7kZ6r+12dliExuEgFvhGfbeW1A3Qk5T+7Edfj198y0vRCjs4PluLzxmW1MMwEZR8MGwEUueuV4vVRaulrNLZWTNxmooRrRVIWaVaDWsltAaN4zca3d6ujYpLPaTVbiekvpH6IAjUODKB5N8gcfWNagRZUjdAF6iuI/CSraMAgBcuVONzhrVkstw1G4XUTW3ph2o10WoXFzfmIF9LzM31JyYplbDLssbX01IXIr0KYiX3OOiVNEak3m9ONRobM45pwqUc0qLnJk/kRuqDXl6oTgfI51Wdhn6wpL6JYHKJH5iswBHA8xfUBnS86tygoKVCQHJ9k3Kwnpb6sIO02UyeaXZ2Y03eQVGrDd7uQSzJfuOC36sXqa8HdAt9pd5nu62UviwMGscPw95tarU2TtGcSzmkxd/jeuaHmNCP1HnxsV7YqAqbJXUDHKdbqOY9F3vGy3j+fDU+Z1j3O7fUaZCblINhBepKWMi9MvF1tFqJ1UXPRJbWRpq8g2JubnCX7pkzvYlnkOQZXvM/69z1jKnzdfIr1QYi7SxQf/R7D/2U3Wazt/KwliAFZC3nRKOxMZLz9DmykcivH6kPOvcsqW8iZNW7vmLLCJ5fhvs9a5kQCbxecfZemJ9f/kQeZhlVECQuUC64+llRGxWDJmiFYX+hOYhlRuTZq0bBekDKZOXHSpN6vyVydM9+rvV+pN5qDTYvL1xY/X5eakhrOdgoy6yyDJWNgF6kHobDba29EeWdJXUDXFcRu/7CLt8ygpNzNdTbwcAuGg6u2enu9+PHgZMnE4IcxlJrt5c/uIJg8HvySUEhheUmBa3XpCfrcBAiCMN0uMGEQbwVlIgGbCxLnUh9kPYNCuorniTa6979LPV+1tGga6LXItOexsJaju3leu1WahkeyRN+3SxkJYyuFnrJqWHc7xstV4BgST0DxWK3u/CKLSOQAA5PL8RCd9AJRESoZ7+TddJqqeSMubnBSJ2ygKm860q4302Dme6hPwtNfE7mJoHbbvcvPyulqjrV7xkGudawGKbQShCo+y/XUqcxkBXC6VVpcDVB9+UCmb9PKYev5U3hin5hiU5HKdP93u9KkfpaxLpXw1LvRX6kdC6HIBsNtdxyueBr1PuFKuv1ta+JkDVGbEz9Ikap1C1gtkXV5WZqiX9r0JeaFUMlIeo4yjtA2n0/Uq/VEmtjJQYXDWZ9cs3MdFtPWZa6SVAuLKRjnDxZkBAEamL3I9ZabbCs1GFAitYgMXXajjTLvUnvd5BkL3K/Zz3zepE6CTTKzufPEoaDV9sC1HUoXNHPaqUx38+i7zfWBy2asxaFQ4YJaQ2Kc+eyxx8pnMt5LimHTzQ0LQ/jimE/WbbWuTiDkPogsKS+yZDLdQ+0Sk4F26vNhO2Hib3wwc0T5ep1tYyChDx91+vaJCizyHRYkCDXBWKWF4B7HHhMXT+3VksrR/W6WqPNz2u3B0vwabVWfo0yPccglnqrpd5TL1IfxCVHAi/LghkmWWclwZMlHae7fcMWpCHPBilNvUidnrlfrkovpYm+69dGPmYHxVJ2rRsmpDUIpFRKLW8HV4apj5fjPpdyuNBEGJote50c+3kY1pLUswwhk0dykGttNFhSz4Dvdx+r5NXBxWYya4ax1LnLngaM66p7eV5iJelLmkyThlyaNImz2jGo1s2tNA6TO5MLRO5aNU0Unaw7HfU83I3bavV3a9N5K03qJHwGuW6joZS9rHMHJfUs0uRYryVtQgATE4mlrpP6MEKMyHwQS51bdr0SvXpZR0QO/YRxVqioF2ZmgMOHh7Nis9zvS7VMTcrv3FxiKdfrSpYs11IfRoExed7oOL3PXst/12PZny6DeVt6/a1/Z2PqmwyepwQbf2nlyFJfaCWjeClZkvw3QgAjI+ozCXldAVhY6B48ZAXxeLbpnoPGx4hoTJaZidT5fWlS6oKSC3X+W9dVbkRCva7IMqvKE2E1SD0IzB4KE9ptJTSzsvxpog/qfu9nqa+1+52eiVZ/mNo3rKUOJHHeXlnF9My5XDJms8i9V+byIJbxUix18gDMzg73G12GAOoa/ca6CTTfeb/w9f+Li6r/lmupD7OZDxkVel9yUu/1TtZj1Ywl9UsYfAtWQK1V9x0HC63EnzyMpc5/YxowevIdkaRp0NO2hr1i6r1ccUGQjk+bEkT05D5+rl6ghLtuCeS610mdrF36fb0OFAr9BR1VHFvJiRQEyUqHfolcPCu8WgXOnu0+Z5CY+iCu5tWw1AexYvl9Hae7utww2dytlupbXpBnEFKv14HpabUipJeXSAcn9X4CeVhLPQyTnJdBQQqsyfu1FIWt0VBKJSf1MFRkTp4u06qdYUD9MmhCapaCpFvqWf3GDYSl4Ny54Z93EFIfxNtjSX0TwmRZVPJeyv2+VEvd9DtezYtnH5vcU5zssxKuek2YdlsJTv4M+uSj3+vX5jF0EqJklfBzqfaznmxFz0YKQxD0jlXzew4b1+2HVmuwNdm6NXLmTLcrlis5WSBBQDF1/f3Q59WIqdfrvS1NLoiB7vc5LKk3Guq98j7uR8iA6pezZ80hmV6ClI+LlSZ1IuhhVl+YFGVg6cvpFheV8svb0Omo/p2fTxTF5ZI6KWKDIKsvuQwbxFJfKqnX60l/DCoXBiF1k6esXu8Oqay1N20QWFLvATOp+0tKlOODIGuA0+DnwjXLUqc4Jbk1syz1XlY8TQga5PpA7kfqulWut6PRSCwHHoPnpE7X5soBoBQO3ZVP560EqbdaSXySNp3odV0uSMk9nSXI+ln8g7r5VlpgdDrDLUnj45HaM4xV1Wopy5u/u16kTl6QUgkol83Kai8yHnQDkaVYWUTqw8SaTZ+lHH4Jar0OnDiRhKl4Dg3lIszOqu+WUr6aIwyVN2BYUu/nfu8VU1+OxUvhvVYrHdLrhazwVr+/p6fTcmAptUrWApbUe8BE6uWch0UWUx/0pdJ5NJh6TWqeNETWrC4YCESmWeuds4Rwp5Ne627S8k0udfqbT0RyseuuRiJ1/Vr82XQBR8+hV8nTrf3lgrLwORH0epe1WvIshYIiHpMQ6Lcml1swBOoH+h7oH1Ofn8/+rte9ewlr3VLnx+n3g5I6kReFsPpZNjoJUKKebhnrlhLHoPt303fDuNLp3fI29DsfMM+pYUNIjYYK9/h+Mi74NVxXPTt9vxKW+qAhgqyYuO5+z2qTyUAYFHRvSrQdVBFZCqnTsls+jvW+3ihW+4qQuhDij4QQZ4UQT7Bjk0KIe4QQB6P/J9h3HxZCHBJCPCuEuJ0df7kQ4vHou98SYr1ygBWy3O8LkaU+zATig7wfqXNr1iQE+GeKW5qIrpcQpnvUat0CSBfAWdYSt8BIgPNzTZXJ+LNRuVlelpesEN31yu+1UhWvaHkQtZGvvdf7rFpVllAvmLwdOkzjZXGxOz5P1zNdq9lUVsmwyg316zC/4+GOYUid34MUxn790rU7optOjOwX86T9uwcliWEtdU6og5xvEvxZ3q9eII9HoaD+JsuX7lEoKM8GfTeMN0UHD6kN0kbTmBjG87SckBr1ZaMx3Ja8/F02Gt0Ktam95NkzKaf0eW5u+OJMq4GVstT/BMAd2rEPAfialPJKAF+L/oYQ4joAdwK4PvrN7wghIlsJHwPwAQBXRv/0a64pjKSe82NLfRhS1wmun6VOyCJ1+r0pbk3oJYSDQAmDajV7MPdzOeqWuinRTo9Xk5uVBHajkVjKdB6RD7fS+NrulciAJ8uGrsWVhenpdHyfVhrwdvJ3z5f19RoTWbHDmRlzPkGWSlutpmOJg4IEddb7NHkR9NoKgxIG98AM4n3g7neC62ZbXyaFhxf1WWlLnd7tMKWUTcmQNJeHUShIWeHg440KV+n3Xwo6naQPBxlf9CyDWKymZ+ZzCBiubj3dp9FIjJNBvQv0HhcWknvqHiV+LUr2NHmK6POg5aZXGytC6lLKbwKY1g6/A8Anos+fAPBOdvzTUsqmlPIwgEMAbhVC7AQwKqW8T0opAXyS/WZdYBIOylJPSH3QlzhoEg+dy13UpknDrYaspUKkEGSROmXz6hnO3FXOY3SULU/ChCf1kXuSt1MPI/DfEjlzS51c11wDJ5BrVbfelgpSaiYmknvTdblGTvfWwYU7VbrjypBJUTp50iwo+bK/QVyCc3PDZ2LTb3stV+pFuPT9oIJzcTEhokJBlV3udQ+TpU5uYFP7pFTeiizPUD9SH0Yh1681KKn/+jcfxWeeOGxMFB3m3ZkUyn5x+eWQOikjw5D6cix1khtBYI6LZxWmIvnEXe/6u5mdNSdb0v+8rC7/rT4Wq1U1Hk3PyQ2slfAiLherGVPfLqU8BQDR/9ui47sBHGPnHY+O7Y4+68fXDaZygeWcHy9pG5bUSQPul+1Zb4U4Mqt2g6OBq1vvdH8ps63pXkKYCFfKtODkwo7HydvtJHNat0jpHtxjoFtn/FyKmdJk5TWiSdsVIk3qlDvgeWqCTU8vL4ZF96XJ63mJxt5spq9dr3dbSgR6Nko4zCIVWk+sZ8xzK6sfWUipnpsUsmGVG2pfr+I5JktdD0sM0u/z8yrzHVAekV4JbFnXI4VSt46oz7MEcq9r0nfDbJ1s8gj0Q6cDPHTiHB49OT1Qnkqve/M5AiSKba9rLDWuTnPb8wZzJZti4sNY6lwRpneqv5fZ2WSrZ45W0EErehlZXjIqcy2lyqGhe5JcoiQ7ftzUNjI++BjUV3T08oKtJdYjUc7kVJQ9jndfQIgPCCEeFEI8eG7QlMclICumXm+HCDqdobR9Iir6TbXRxq998xHMN7rV4S8+cxwf+Kt7UWsFxlg114zJRQ6k3UAkfLPcpdzNpru8SGhxS5usaromPQePl/JEOX5PTgwkoEgB4OdxS51Iq9UCXnxRkYTvq3MqFRWDXo7Frrt7XTchCX35Gk/400H9wd2h+vMDitRbrW5SL5USKzbLwifMzChLplLp7ZrOgpS9lyuZxjJXArKURD18QIlLJkUoayz2ImGTF4OUUe6+1Uk/C1yoc9RqwNGj3cv+ssZyL0gJ1NsBau0g9ft2OzsHxgTTeYOQupTqXidPDre/PCf1QarnkfzJCg/qbdLBDYdOx1zNrt02F9H69a88g//0pe8A6A7z0e+ojG4QJB44kn3kyeznJaNrck+kyWIfpmjPamI1Sf1M5FJH9D+lAh0HsJedtwfAyej4HsPxLkgpPy6lvEVKecvU1NSKN5xgdL/nVKnYWitIkTpNnHbbrOFySz0IgMdPzOGrh07gidPdo3Wu0UK708Fco2Vc/01CiSwZPqCDQC1/oUmfJeCIXHUhTy5aOoeTul7qUw8pZCUCUvt14ahrxlxY0ffnz6vfjo6mLfph9jy+cCHdVprM/N40YflzEvRkPg7qX95uOs7RaCg3dLNpjpXzfs9Cs5nsEUDvrd1OMuHr9f5r/X2/t7DW28Yt2ixSn5tLj896PXtTjCxhn5U/QNYU/y3NIZ70x/t+kJi6yQXebqswCtVvMLVZL8iThSCUaAQhau2gi2g4qfeLIWeRer+17p2OKt6Tla+RBe5JoyWzQPaYMXkSs96xrijTnOEeGdNOjJRQqz/H0ekaTldr8VbZ1B4CzWWy/vl44cmApLTqISCd1HXvpH4eZeKvN1aT1O8G8L7o8/sAfI4dv1MIkRdCXAaVEHd/5KKvCiFui7Le38t+sy7gWdEkOMv5qFRsM4gHcxgmxTLm582avm6pU7LdQrNbQjQDNfLmmy1jGdOz8w189B8eRiNICwwpFYEtLqZjXdxFTCAlg9a90sDkMXTuTqbCC7qmC2Rn+OpC2OTG5MKf7k0Kh5TK7UaWrI5BvCRhqBQD7r4zxW8JJAD4hNbdnwR+ju4m1ttWq6m+pp3edPCs5Z//wn34/W8/m7oHkG4HFUK5cCHZOW1xsf+SNVKcdHdmllud5zCYBFoYdu+wx5eWmZ5RRy8C9rxEYdbvS/942wa5psl1CqhnMNVO52N5UFJfbISQUMq/Tup8mV+/imgmUucx6KxxTMskS6XhSF2fGxS7P3/e3BZdFgDp/m0FIdpht1dzdlbNCTJaSGYA3WOYztE9DoutAPV2gGJRKcz6vKNa+BTm00mdQmYmxZDPh0FIne590STKCSH+N4D7AFwthDguhHg/gI8C+D4hxEEA3xf9DSnlkwDuAvAUgC8B+KCUkrriJwH8AVTy3PMAvrgS7VsqiFh4rGQk2tRlodWOX3KnowZQraYErD6JqtUkg5UIrtFWj1zVSN1xVKwIUBY7CWI+WL79wjS+/vxJHJmtpgZxs6nuTzvM8bh5o5EoJtyFThOSBjN3t3ISaTSSZ+UTma5hGuT8muSe5ud5XnqZGPUnVSDzvGTtrQn8WvPz2UloYajIr188U8r0drbUB1ng+QIkMEzLt6j/fV8JWYo166B7Hp9bxIvT3XvMmpSRubnkufsl6tDvS6Vkn3P9eXRwK4x7UAjUv3zMZylNWaTei9RyuWSFBhe0NJ5orOpL6OiazWb3dr1ZHhVSMk0Kgj6W+2F6Xp1Ui+Y53YcsdWq/Sdnl6EUSzWa2skn9QlY9od/+CSZSJ2s2K3Ri8iQSfuXLj+DDf/dQfC5hcTG9JwDNOT2WT/NLL48LqI21GkGITnRDfWwuLiqDgBLp+LwGEvlI70D39vBnNH3W2zhsAuRqIcOpOByklD+S8dWbM87/CICPGI4/COCGlWjTSsA08eNNXZpBKgOdu4q5azkIlACldaRkjS42zaQuBNCMSH2+2YKU3ZOmGsXhWzKM164CaQ2XBjBpwTybVSdXKbuT1QDVTiJdrlHT+XwS6Jq67rKkicMnC/WJDlrm1m9duC4kfL97dz1aukbFI8rlbBKh/AJeP3ux0cHTZ+fwisqE8Tc0oYlgTIlyPN7e65mob1thGCt9Ounw5+NuUi7Ie12fu+6bTUXw+n04eOlik5VCCpi+BFAn9ftePIvtxQomJkpd9+hFaq6b3r6Xr6bgQpSHUyjuHYYqFJXPqzwE3g/8M/fImUo166GkQVys01X1/mqRR47LAxoD5OWjecoRBMr7x5MMdWSFcoRISJhIne5Pnih9HJJHkIMIlrxCWQqZHlOn/lpotnHv4TPYNVZK5SJQfkmzqX5L8oHaxQti8Xi2Tpi1VgAJ5dks+l5XUmejoTbLWlhQz8G/p3fB5VeWt2cQSz1rTK0HbEW5HuCTmlxmtP3qQrMdDwyuSeolR/nkApIEsFrsfk+PVEXq5H5vx7/lRDxfV79pBEEslAE1eD0vGbwkxMktxGOTXBhwMuT1rfW19XpyHAlS8kAQdKWBrjlIDJw8DP0mha4Vkyaug/cJfZ+1+oAENhdSX3riFH7m89/Cybkazi008OJ02m/NSZ0LCRPx9QIXWq2wg1o77FKOdGFRqShLhBRLUzySQ7dEhtm0g8aTbsnWauZ65Pr7+6UvPoy/fuLw0O53QF2LV/MCkjFi8irR2KTMZ52Esyz1fmGWbz5/Govtdl/rWkpgvkaWeoBOR8ZzkOYe9wCa+iQIVGx/fj57LvQiD1otwuc/XddUpe/Mme52+H56sxgaBzy8aFqiR31z35FzCDoyFaoEEuWXYt70DBSaorlEbSMjQid1MoxIlvJzdMVSn9e614jLS/17PQ7Pn5E+9wq9rTUsqfcAn/hkvVUiS30xSpQDkpc+OppYPtyC0K/Z6WRb6o6TWOpzjVaKgGmwUMZ8rZUe5VR5iru7uWsrK/5YKCSaO1l+OjHzfAD+HID67fh4ci4NbB5THzTeRAKvH6nrmagmS0LKJJZtciPr4OU26VpnZhUjHJ1dxP/45pP4xS98t+se9KymdwWk12z3em71DBKtsINGO+gSPL3c2kQQg7jf6Vn1BMleoDFkcnHm8915CLydQdhBrR1gsdUe2v0OqLm3sKCWen72ycMIOzL2HJmSOqnfqlU1H3USznpPnGD0888u1PGhv3sI9zx7sut38/Pdnop69CLCjkQ77MSESODvLMutTYaCKUmTK9g6iDDpd9xC5aTOSYvCKLoyHgRJ/gU9Ay9RzD14vL8ApQQBaQMISEou64owV0T4XKVn0uUH5SXVI6+W7rnhIJnCCVpXmLNIneSofozzA5eL6x1Xt6TeA/ylEYlUWEydQJYYFwhcKzUJ9MWGevN6olzKUo9i6rqgIeueBjOBDz5y7dGE4xZBLyFKA5cndHFLXNdadfLlsU9d4JAwufuJo/iHaMLroAmiX/dMtY4f+uOv48jMQnx/PoFNFg/Fx7lnAVDnPnt+BlJKtIIQ5xYUu3le98Y0szXV6JNzNRy+sIAz1XQasN5e3QKUUhFSVhydQN6MdqhuXG+HcJwkOagf8ZH106sGAn8nw+zExXMHeP4Et97pb/qfv/taOxqvQbgkS53I5VvPn8fHvvMUDl6YRRgmsWlS6vg7IBcvrS3OiotSWIbanUXqx+fUi6hHz8K9XmfOAIcPJ+TXbqcV7noQxDJB9wzwBEsO6sPxcbP8cF1grhbgoRPdS3ppbujll+nZ6fP58+llnCYyonwQntynF0vSCVdKNY7ve/EcXCHQCjtod8L4NxQqo/bQ+OLvUE/OJHmTKPIyfhc0vnRL3QTuLdHDh7qSRO+KFA/dvc/P08eXqVLnWsGSeg/o7vcwTCx1IlZ9MAJpF3ZWJjARsu5+d5xEsM83035DGjjVRnow0++4UKNJyjPKsyx1HVKmM02LxST+rU8y6qNvvXgWn3viaHzcNKBpov3hdw7ic08cNd7blKgEAEdmFnC6WseDx86n7g8kgpFP5GYTOHYs8UDwCfnosVn89N3fwiMnpvHphw/jR//sH9AKFIlOTqbbUI1CHcfnFnFiroZaO0zFSXXXm07q5BIfxPOgEigTUs/nlatTd8ObwOtXZ71f3VLnyU+djsT/+vaT+PaRczi/2MCff/f5WLmk3+rud11wmlZNAFwJDZZE6nEeStTvzTDsCg3xdfEUU+YC2rT8UkrVv2fOJP1mcstLCZyYVxOiFc1NTh5Sqvlx9mwSBmmwvqu3wzjGr7uEs95tltwguC7wxWeO4f979/2YqaUzyEip4f3B28uXqdHf5GLXFXEalzqp03j7wjPH8Mip812kdmphEbV2gOt2jAMAakE7boO+AoBbwfoy2yzyrLdDdGTymZ6Tno2Xn6b6FrRygQwwrsTp74db8jTWdM+ZyVKn58taLbAWsKTeA3yA0yD0XAd5z0lt6qJPQO7aNFnqjpNo/Cb3eyATUv/UIwfxR985CEANnGYzSZSrM1Kn7SrpGkSsNND7Wer/8lPfxF8+ejh+prk54EKjhq8fPJU6L4vUP/vYEfzZQ8/H55gEVbutFJFzi40uLwN/ftNv6fxD56tJPzFLXSf12Vl1DlnI/PwTs8o0O1Wt49jcIhZaAZ49p3yK5JWgZ1iM+vjh4xfQjh5+OhKieniGa/TNpnr3i4v94+nUvjBMQi/1dhBbqJTolEV+jpOMN93Ny2FyL8a5H0EHn3vqRXzo8w/i39z1Lfz2vc/gM48dia/Zj9S5d0q3eMirpa/ZJpjIhINIqd5SjW1GFj/fXY8LaNMY4m3l3puFBXO+h07qJyNSp+VZOqmT0n/hgnIvNzvJDWvtIJUYRiC5kdUn/Uj93KIax+cXu0ldd6PT+OAuf0qa62Wp84Q6Ggfchf+n300UdC5fTs2rFPZrt4/FfUDEyfvflDPCM+D1sUT3oPAlkI6p0zP85tefwt8+/SIAJQNKpWQcfevIaVSb7ZjEebjSdC96F/xd8WegPqH3RZUjLalvQOikTi90NJ/DE6dnY0tGn4B8GYmpspbjALVWtvs9BLnf27jn4HH8w/OnIYQSGKdPA7VIotA1dPBBqrvfTbHtoNPBCxeqeOFCsvan1QI+/8wR/PKXHoaMZh7XhGkCUR9Vm+3YZUyCg/cJTajjc+oeDaaQ/OY3nsCvfPnhuO9M5EUT91BEvrwtpqVItISM35++P19VHpDpWjMm6MdPzXSd2+kk9yXSB9JClAQdX2WQy6l39eKLah0yX6GQhcRSVw9VD0JIKeG6SY2ALOLjCotuTfB2mkC/q0cegqDTQa3Vxku2juDPv/sCmkEYC18ehgLSyiwfczqS2Gea1PWYZRbouWm8t5ilTsqErrBQbgSBj3k6N59PEg315DGdbE5UE1J3nGR+c4WkXFbK5Ows0AyT8d2SgSJ6jdQpPGaKA2eF7QiOA9Q6qhEXFtNxlFwOGBtL/uYZ+0SstASz2UyUGpPL2vdVrhD1CfULJS62w07XSo1OJ/FsXLttHACw2GrHigP3FumWuBBJGMzkEu901L3nFpPGLjZDfP3gKRydrcZ9eM9zp/DHDz6X8jYJAczWWviVrz2Erzx3PO5/x1FGDLfu+TwyWeq6cUPjgJI6s8IqawFL6j3AB5PvJ4P239x2FZ44NYP/EiVNcasBSNzvXNgEnQ7+6fAZSCmVJhqTevdMIhff+VoDpxdqqDbbKJeTCmJ6LEkHES63rGgymWLW1AauYAihEvVCKWMrmdxXj5+eRisMU+7marMdV9mjCcn7j4T+sYjU62yyPXT8Ar7y7EmcnKt1Jd0RqA3PX6gi7MguctE3ONGVKU58M7WE1OnzEwZSV5Z6d4r4dK2b1Hl7fF8tpalU1L+sanQmNFrqIpRgRUlPvVzU9Gx6bJvDZOlzi5ME809/73W4671vxM+89jpcqDXxhaePxwoUj0UCaSHYq52LzUQJ5SET2m7WJPy+9MxxfP7JY6ljNGeaYSdW5IRQlhG/r07qPEue7ieE+p7ejU5o/HphCJyMYurNsJPaJ0AngkpFEWqTvYRWJ4ir/fExSR4e8sBduJB8N0jIZroekbrB/W6SR/TsNI/pvqRA9EqypN9Sm1OkHs1l/m5Pzi9iJO9j95jKHCbZwu+RtbskkCgZeq5Ep6MI+Pwcy1loB/jIVx/FXz32YizrFpttzDXaqdwdx0nnI9EYooTESsWcKMfHWi9LnUidDApL6hsQnJS4YH7b9XvxnpsP4FsvnoWUsosk6UXzIgrfOXIO//FvH8Sh81UVM4pGd7XVji1hAhWfqTbb6MjERV8sKjdS7M5smWchH3wkkGkQklXCn42uTxZVuaz+UZb9IrvP+WoTP/+F+/ClZ4+niLvabKvJLaQxE52ExrFIOCbavcSpeeVG/PxTaSHOQYpMIwhxYm4xRUg6qevLU4C0a45ikLqlzj0SRIK8j93ogueZZUTPqe/gtFTUmknHNYKwpwUct8tNW82DWuqc7CiWP1LwMVbM4WV7tmB7pYBHT06nlByd1PUd9lJk2JEIOp2U+50n2ZmWo9Hv/uc/Po0/++7zWt8kljq/z/R0uuqg4yiliq6pry03eT10Fzz/3GpLnIoSJNthJ+WJy9oXgI+bRhDE3qssSz0Mu0Mo/VZMXFhsxv/ff/Qc/vGFM8bzeAIlPTspvZRQyLchNoHLEVqWG4ZAq5OQetpSr2HPeClOLK5G/cF15FwuqR9gUjh5QSdCp6P6abqa9O9svYV6O4zlVaMpY6Phs48nuTuOk7jtG0EYW+mumx4v/F70LvQEOj7HyPtBoQO6riX1DQhTTJ2wpVSARGJV63DddClOGnDkKiO3UNiRqaQaAPHOQ4TFVoCwk9w8K/tdx+GZKk7OL6Zi3HpSEZDE6HmegBDdZO84ysqVAE7N11OWOj1fqxN0udmAhHTJUqdnnmsoZcARitSDjJnAn/XQ+Woqns2znAGzxcFjyLMNJb0uLCpSHy34uFBr4jTLbI/d7+0AfjTbL9tSgeeIlKVOzXXdZBvXpULKhLjomcmq6qUwuC5Qb4b4wrNHIRxpFM5ZpB6TU9S/eVc9qxACeyfKODFbixUo7pEg5ZBb6jqp//a9T+NnP/udePyouKo6gVzAeoIaADxy4gJm6i2cmqvH1cKAtPudBDAtx9SJlYc8BiF1Pa7Pn+PUXD3OpyDvCY2lrCVn3IvGP5+ar+ETDxwCIONwhk7qppyUbx85h4MsBAQkHqMLtSZ+/77n8LF/eqa7Iex5+DgiC5iTei8S4s/MM9TbYSeWZdyyPTG/iL3jZYxEZbXjgllaAiNPZNXvRzF/PQG41QJmqrxP1bytRnU9zlyIjJOch0dPTscyRYjkXTTaISYnu+9LcpbLF/0c6kMKtc3OJkq15yUKApdD+v4TqwlL6j2gkxL/u+CrrmsEaavh5FwNQaeDfD69CQKREhFKWyZvWHfBt8IOPCc9kohwpZSxFVDPcL+r84Df+MdH8bv3PdNlgeiW0Xyz2yIHElKn+wmRtPXcQgNTU1FSWBDGyk0zDGMNmycE0iA/Ppu21IlIb9u/DecXmzhTNa+zqrUD5FwHrhA4eD4RbqSkcEs9a+0vfUfv4OjMIoKOxKsPqF2Bnz4zFz8nWeqLrQCXTY4AAPaNVzBZyscxdT1+3c9d2tWWTgf3vnAm9hA4DlCtJRfkyXKdjhI4v33v03Efcjxy5jz+2z88jqfPzsTlgnUhrQsn7nKlBL28l2h7e8bKOD63GAt//sx6H5s8Ck+ensGhC9XY/R52JJqRR4CSs8gSmq03MR+9l68fUsmZ7U4ntkaBJFGu1Qnhldo4PrvYVWrYBO5+BroFNbnrOfizHZ1O+psr8XzJpI5aK4xLSvPcly88fRy/d9+zcQloIkuyfOmfjl/9+uP4v+55NB4r7bCDuYgop2tNHJtbxKlqrcvrx0GKC/fW0fukTWbuffF0V/IuQY9x1xoddFh4jm7daIc4u1DHnrFyqlgXoBSXQeYJrfzg7neuhPJEOZIhFKY8flbda+eoct9Q/ztOOtlSx8Fz83jj73wRt//eV/CV547Hz6tDSnWd587PwXUR573o3lq+IqVaXTvL3ZJ6D+iWOkcxUs8bQVKEZqbWxJ1/+g18/eCpWJDQiyZ3+1ydMtdD5D31ZbXZRtDp4A++/RzmG200gw62ltPZVUS89XaIMJo9We53avtCq43FVpASYrq2TfcHupUL7n7/60dfxNcPnWSkXu+y0gG1JpfucXR2AW/93a/EFkYQSkUSQgnHsCPjLNkrp1Q2TkNTVD710PN48vQM6m0lJLePFOLfAGkLkmfnmgQHKTRzEXmci7wmL9k6kurjVKJcO8AVk6NwBLB/sowt5XyXpb5Ut/s/HT6LX/j8g3jouAqm+j5Qa6Qtdd6WMws1/Pl3XzCu8Q9d9UyzzSZmZlR5VJ3IdHBrohEJu5yXdNye8RLmGm0sRElOv3TPA/jThw7GfaxfS18jf3K+jvlGO+5vgBIAE/KisfKLX3oQH/67hxB0OviH589goqiY+sRc8q6JPBrtEJ944BB++rPfyeraFHgfAtn5Hhz8OY7NqjaM5H20GeOeOJGdvFhrB9hazsefczklQ45H12qEQcpS56SuC38pJWZqTRw8P48nTs8CQGoZ2wsXqrHcmNbi6xz0jKSk0ZyhWPBsvYX/39cfwheeOt71W70PXReYX4gUec1SPzFbR0cCu8dKyHsucq6DaiuJqQ9C6jwviVvqROrcoDmzEJF6o63O9dV3W0tKhpJ1LkQiM02kfni6iqAjUW228dip6Z6k/qVnTuDffeafsNBso1hUYQQ9WZovax60euNKwJL6gCAXG1lwBV+xfJPF905X6wg6Mi5mUi4nbkDSFmei5JZGO8RURNwLzTaePTuHP7r/IL595CxaYYhtFfVdIbKcqob4dj/3ezPaIUnP5NUnVnLt9MhL3O9t/OWjL+ILzxyL73+OWVBcs69H5U3bbbW2O5QSxyLLcj5Ubsz9E5WoDwKcjlxnB+gYXxstJX73W8/ii0+fULsx+S4qeT+2/IC0hUVWCE9e4iD3HScZQFngQDr8IKVSQmrtAFtKBfzft78S//zmy7CllI+tR56BvxRQvxCpex5Qb3FLPbl4u52Mndl6t3+d3stMo4GJie49u/kY+PrBU/iB378H7U4YCxuTpb57TK2RPFVdRBAAB8/P4eD5+Vg50q1dImjV9iAmGE7MFFenbTc7HWV1PnduHg+fmMYf338Q07UmfvTlVwAATkYKnBCJd6cRhLiw2Oxanz3faOFf/e9/xHPn5rr6B8iu00DEmuV+P7fQgICy/CjfpVxOLyPVUW8HqOR95FwHtZYi9WIROBHllLSl2l2MxhC5pU2WeoN5wj77+BEASXJcwXNxmG3+Q65oEzipU3yfntlxkkJLF6Jck9/91jMpdzRPCPM8oLqo2qRnv5Mnae+46pxK3o+NAT2pmJDLde/bkMulLWCeF0MV+wqeGxeE0sOFoz5Z6t0yUw95Asm8Gsn7caGkLFKfrakkYrqX3nauKNIKg7WCJfUe4HEVWqdYrapsWyLbQIYx4ZOwpxftedxST2LIgBqURNzVZjtWBGqtAK2gg6noOyreMB9b0+r/ku9mZr8TWkEHrWhdLcFEQrGbvR3Gk7gdduIJsNgKMN9oo9psx/c/t9CIXX2c1CkDXkrE7lT6viFV/1BGbD0IcbpaR8n34udtMCKrNtoIpYwy69WmDeWchwVW/EXfuYkSabKSjNqBxFyjFbtGqT2uEF3LC6nwTCnn4Xt2bcVoIYct5UIsUEkIZ1lr/XAyIruHI1J3HJVdTeDWSLsNzDTUfWd6kDp3V3NBEoQSn3rkIOYbbRw8P4+Zeit+L51O0u85l1vqSiifnK+pc4JQ7YrVyV5yRePrJCOXYyxcUG8n1dXo3kenF+OY9R/ffwiXTVbwwy/dD8H6yHHSpF5rB7G3h/DYyRk8d24+DqOY2sbjoQQKQzgO8PSZWZyu1lKkPlNrYayYQ8FzY3Il13UWaq0QJd9DKeel5ikpOI1QFRci9zvfZ133GpDMGMl7+PrBUwg7MlaYyMtEOMm8WDr4skfKh+C5QkR+s/Umvvn8aXzywefjvQ64pU6xY1JA69Gyx+TdqzbsiuZ5Je/FpWL1BMD5RhtHZhaQy3VXXdQ34uHKCMnTLaV83L8LzQBSyngek9GUNoSShFsdc40WBIDtI4V4nGaROv3eZPFTW6k/9NUZqw1L6n1A2ZFCKKub1n+SpR4iRC4vEXYkzkcTzUS2NJjm6i0VWww62FohSz2IXcHzjTYkgP0TFbzmwDa87bo9AJiLPBqgW8sF1FpqN68sl1sjDBFoiXymJDJOZjQBOFEvNAPMN1sRqSeTohp9rnL3ezshXKqIR9ei8zmBn5qvY8doMe5PPtmIvNQa+AClnItyzk/F+GkXKbonF5A6pASmF9roSInLtyTCcEs5j1LO68opmKsnCTfxuaU8ZmpN/M0TR3FkptqzLGsWiIhIwD91Zha1VhB5VtLud0K7DUzXGlG/dL/vmNSjsaAnhx06u4BPfPc5fPP50/F4odAML3qTstRHlVA+Mb+ITpTQWW+HPRWnWLAz6zztQk8sdSK0wxFx7JtQSsSP3XIF8p6LbSPF+LdCpAUpjQE+Xp6NLPSsmHCWVyXJLZD4ubsfwJ89cjAlzKdrTUwW8/BdJ6722A/kWSr5ybhabAXxmNZlBJFlGCa10Qlz0W+u2TaOVtjBXKMVK28UtiL9giz1Lz1zHH/w7efia/CVDnwJZLGoEruAZFXNbL2F6WipJ4XW9FU0QiT5BWFHIpSduM9m64ocxwoqhDKS81FttuPnawQB/vqxFxF0Ovjj+w/ipz/zbQDAF58+ju9GCi6BEz09g+MoT0fOdVDJJcp5KCVq7TDubyJ1k6XeNHg5Z+stjBZ8lHN+LMfomXiuQqfDrhOYxwNPHB1k74eVhCX1PiALHQB27UoKMRQZCf3C5x/Ab3zjiTizXScHgCXK1VuxIJqqJO738wtpK6yU8/Drb38Fbtm7FQBzkUcCa7KotMnfu+9Z/MRffqvrfhJqnXMrcr/TRDSR+nyK1NVnHic/u1CPlta1UjXvSRGpGpQCKYG5ZlowkPJA+QL1dogz1Tp2jhRRjMiEW+rkDqs2VGEbstR5mKDdTlxflPDEredjs4t46sxs/P25OXXNKyJS9xyBkbwfWRNaTkG001bZ92Pi3lLOQwL4ta8/js8/c3Ro9/tcvYW3/+FX8TePH8HJ+RrGizkEHYkf+/Nv4l9/+t5U9j/vizBM1iXT2noO3VLXSZ2TPv2evCrcUuekXvBdTJULODFXQzuU6EgZ5zxkLeU6P9/CXz/xAo7NskJGYSf2ACy2gjjznYT84ZkqXCHwy2+9Ge+56QDectUuAMDu0WKcP6Es9SSGm2QxJ+/suSh3gyuZBBr7JgWM+uDUQg2z9VbXxjMz9RYmSjnkXCdztYuOWitAKafGK5EKud7pewK1iRLBFhfTyX80D0gRvbDYjJW3K6eUlbFjtIiJYi62kv/3dw/jM5Grnq5NY5UXStLbTM97IVIgKVTFwyv0O66AUuleQOUNjRR8uFGyL7nf6Rp/+uDz+I1vPIlHT0zj2OwipmtNSCnx8fuexR/dfzCzTykXwPOUUlTyPRRzabasNtvxWN82mo6pA4nbvmEg49l6C+PFHEo5N1Zem03gF79yP37rH58GkIRfG+1EwewFvmf8WsGSeh9wNxsVIAAS93u9HeLozCKePD0bC1RTAhsNgrlGKxZEpEnON9sxQdIkoqVF5CYmqzfRQouQUO7CE1HGPQdVpWuHndgK0ItwELgQJGLjRE3a/0IziD0FAOKQQSpRjsXX5uppSz12i5GlHoQ4Xa2lLHVelGY2IjGy1Iu+G5F60oYwTJNLo5EWVr/7rWfwoc8/GGvaZIGQgJws5SGEQCXnd+UUUFJjKdqrGQB2jiQLosnq1MFdwjr+/LsvYKbewj8ePoPT1TrectUuuI7Aqfk6Ts7XIJ3kPXJhJGVC6qaYOvUtjUFeIAVIlspdqDVjS7/GXIwm9zugkuWOzy7Giii9H1PCk5TA3x88g9+7/2n8zeNH46WAAOKksUYYpirkBYEi9T3jJVy7fRz/4fXXw4t+t3OsFJOU4yTJpo12h60AScbLc2ezLfV+RXyEAJ45NwNAhUD4ebP1JiYiS31gUm8HKPkuSjmXkTrLLWBjmMYW7R2v170gmUCKKMW8R/JePB73jJWxc7SE0/N1zNVbOHh+HrP1Vuyp43kDrqv2OOiCn3gTSfEj1z95VXjbpEj6ohWGcdLofLMVW+lA4n7P5YAWWrjrkRcBqDLNZ6rKYGgEysJ+9uxcahmjDtrgZrEVoOh7KPppzXKBeRO3j3Rb6h0nO6Y+R6Tue3H1w0YDePbcLP7uqWOxl2YQ9zudN2iZ6JWEJfU+IPc7ISZ1n7Lf1WA8PrcYk5zJUicBTYUSAEXYBc/FAoupk8CmLOS85yLvOclacnK/l5SQPDxdhYTBenOTdbVcKzfFiFKu9thST65HS0YkVNa7E13s3EK96/f1dhALABII1PbY/R4pMxcWG6g2A+wYKcYWYtNgqc8326hFlnolr2LqUso4dk+gJDkuEM8tNHB+MVmDPr3YTeqAcrF3WeoG9/sr9k3hD//5a7BvvNy1nBFQ64lv/70v4+ETaTcioNy4f/XYiwCAB46eR9iReMmWEfz6D74Cb716F5pBJ0XkRLTUn+Q2J1IOwg5++UsP4+HjF2LBRRacvm6cxtz0YmKp0/bBWe53QOUbnJirxcKr3up+Zg5KYjw+V8P+yXKsJExVFPk0wyDeupPaeGSmmgqHEHaNlnB+sYlGtF6fBCmFAYBEqM7WWziz0O05Iugb2OiYmACeOTsbXzNxuzJL3XMHcr/LyA1c9D3kHA+1qK2U+Q6YQ3RZFda6LfUGLiw2MVnKY0ukLO0dL2PnaBEn52upsTfNwjF6fXwdJLdm6614HOmWesrCd9nyviCM19vPN9sYLSRu8dFC4n7//HMvxs9+er6OswuJwbDYUv+OziQejXbYwdGZxOtDHgzKsSnl0qRebbSx2GrDFQJbK/nUcwFcMTS43xttjBVyKPpusuHWYgfzzTYWWgHuP3ouScal8ddjPAihtqntt+RypWFJvQ+ySD12v0e7dtXbYbx+upelPh+5kukaI3kfc43EUo9Jnd10JO+nMtEBYGtZCUkiSr1UJAnAdkdiZETFpvR11YRqs40tEbktapa6K0Qq+ebMQh07R1Ss9VwUMphvtlGK+qPWChNSN1jqvuNgLFquRMlUk6V8KpxB4DH1WossHw9htOc4VW8ikPudZ6KSZf7k6dm4eA4AbCsXUfDcmNQr+e6YOiXKcWvAdQSu3T6OUk5p82FH4vPPHEE77ODQ+Xn84hceQq0d4kWWkUz42yePod4O8SPfcxmCyJrfNVbCbfuncM025UYlIeqwQhlk0ZJLtBl0UG8H+OrBk7jnuZP41pGzSfZ7rRl7bXhCGq2+uFBrxh6QGiP1xP2eFgmjhRwWWu1EGAZJm3RwFzmgFALqX0oKbXUCNBpJ8ul8LcCpag1XbBntuh6tMz6zUFeu6YC53zVLnTLeHbE0UgeAJ6MwDSf1WkO5+idLebhw4nX2vUAJfAXPQ95Ju99Na9d197sef51vtCEA7J9UWWNkqU+W8thWKcJ3HLxk6wh2jZZwplrHA9FOhgDiPB/HUd6a37//6TiEp4PG0EIrwNlICeYxdZ3UW8yF3eok2eJV3VLP+XES2/Pnq7hssoKpcgEvXKjG8mu61gS9mqej9wCoglQ/+qlvxu0h1NoBip4by53xSKbMR+73Uk4ZAHQugcaLXuALSNzvRV+9MynTxhJtbjWopQ6ocIEl9Q0GHlMHkgFNFk212Y5dcmd7WOo0mEIpYwIv+B4u21LBwXPzcUydW+q0yxcn9YVmAEcAE8V0qqi+qQMNtnYYxoVzKK4mHIn/8c0n48lTbbaxY7QYfwaSyTxVKaTc66cXVBx4ophLYuqNNsaKOeQ9Jy6YImVCUEmSXxuVvBeHLmgpivptEs4gEKmH0dpRiqlTH9PuSwSKuaVJXfXrE6dnIETyd0HkcPnkaJw9XMn7qXwB6msAqWQcAmnzj5+exv+87wk8cOw8vvTMCQRRxTTdRS6lxJefOYGbdk3gbdftjY/TSgB6rplaCznXQdH3YsFB7+1CrRlbvtO1Fv70wefj38QrApAIIp6RXI++PxltH0t9SG5pIkzd/V7yvZQHwbSMMuxI/O63nsHphVpc3AMAdo6WMFFSEo1CLrS3OIW1jlyoQSJJkuMghYCeJ/YWtIMkph4QqSuF+ppt45mkTjUNFltt43yhegpN5oE5NavuPVHMwXMGS5TjSnvRT7LfT8zVsG+ijLzndFnqlIwrZXcW+Gy9hZGCj3LOQ8n3MF1r4uR8DTtHSxgt+PjTH30t3nbdXuwZLyHoSHzpmRMxyfHll0+cnsGnH30B3zl6HiZwuUVeD3355xOnp+MyyTwUQZvsdDpKdowxS72S99HuqPyexZZa6rdztIhHT04n92Ok/fTZZPXC8+fVXg/3a21W4bjEUt8TzSNK5q3kPOR9B77jpBSoOPtdG8dSytj9nljqMp7H44UcvvnCGXSkRLOZjEWd1DtS4pMPHIqTFNcy651gSb0PaPkGQY+p68IBQCw0OeptRcZAsi1h0Xdx3fZxHDo/n3LPA0q4UtLXaMFPud9pcnPQ5J2uNfHgsfPxoOUTj4T8kdkq7nrkRXz1uZMAFCnvjDKd9ez37SyGrJ5NTZipSgFffe4k/vWn78Xpag2jeT8WYL6vYl8Uk06WtgUYyfuxVU4u8bGCD0cI5D0HzUDtuPSph57vIsZizo0JVl9+Rs/HPRG1VhAL/SdPzUII1b8l30POdfGb3/8q/NtXXQ0AqOS8rmuSV4Q0/lRbfA/1IIiJn+rIbynnUc55KWEopcRz5+bx4swC3nr1buyfrGAk78MVIiY7ep+zdSJ1NyZI1wWa7Q7m6q3YBfuVZ0/g8PQCRPSbxVYQl+TkXhuyTkmwnWPjtRaRehAocsy5DoRmgpeiRCR6F0FHot7spKzJF6er+OSDz+NbR06j3g6Q9xx88DXX4O3X78VkpHyOFXKxgKVbCJEQNnmKOIjUKZGKdj6ba7S79tI+W61jJO9h11jJmCin3oOyhH///mfw83c/kPruhQuq8Eg558XL9gDg9Izqy4lSHr7joN1Jz+2gk5RJpbwNssyLnpfKfj81X8fO0RJKvpfy5o2MJLXrJya6XeNzjRbGI8t3azmPYzOLOL/YjBWhfRMVeK6Dt169Gz904364QuCHbtwPIC2faEkkhfp06DklQDpfBgD+69cfwv+6V5Wj5QoOhaI6HRVTH2WWOo3L+Yayoss5DztGi6mlmbxN3FKnPITvHD0HQMmM//b3T2CmpuZxOa8GIi2/XCBL3ffh+4j6ny+5NcfUF1oBQikxVlAx9VCqRGNK9n353i3R6oUmFhaSDXu4t2KxFeCXv/Qwfve+Z/FnDz0P1+uk9iRYK1hS74MsS911BHKu0+X2dh2BmmFyNIIwzvomMit4itSldh6QeAJcV1mKcSnXZhvlXEKMBGrH73/7Ofzc5x5glnoy6EiAP3JSxdxOztcQdiQWWiquDSQx9WqzjXLOS8XGCJWCh9uv3o2942U8c3YOj56cwUjBV2vnSSsWsmtJ20KzjUqURwAwSz0SAAVPachfeuY4/uSBQ13FRXRLXUc+ny4GQlb5llIez56bQ7sTotpsY6zoR/0hYhIr5/1oiVfyNhZbAQSAUt7t2iay6Lsq9NImt7dKLpoo5TBWyMUkuNBs421/8FX8+89+B54j8KaX7IQjBG7ePYnd46U4KYwsjpl6EznPjZSGxFKfXlQ198mz8NXnTsJ3HNy8e1KRerONfVEBHxLkuZzaqvf4cfM2vYutIHZLN9udLiud+pzaReg4YcqlSGGnZhii3gpR8Dz86MuvwIHJkdhSr+S9OGmMNgzi4RCyLDmoqtxMvalyQ6JXM8fIgCyv6VoLE6U8RvJe5pI2QG2FO9NspOr8q3uoa+4eK6Xc7ycvpC11PVHuv//Dk/g3d/0Tgk4HP/bn/4i/eORwPCaKvoeRvId6O0QzUKVTd4wUu9au98NsvRWHrCZLeTwW7Si4bzzt3ch7Ln7+jTfgKz9xO/7VK14CgfQ2wU0RkbrBEAHMc2pes9QXmm08dPw8pJTpkrmRpd5oqVoGNMcApErFLrbaKPleLG8I5OXcP1HGwXPzcQiJVgw8cEzloPzTC2fwmceP4HS1HifOAipUI0DZ722Uch58X81TPvZJvgYdmVruS2NqvJiLM+oXmiHmo8xi2hf+7GIN9Xrividyv7DYwPs/fS/+/tApvHLfFFphB8erC0Pt0LhSsKTeB1mkDqglP7zYB6CEgk4OgBKqNJCpilrRd+PiMkBimQCJGzSfB8q5xFKfa7QjazcZLb7jxO347vELaHeSutAdidSGBmEIPHIqIvW5eqzFbinlkXOdOKY+32hHaza7R2Ul7+NHXnY5/uCfvyZu80jeTwmrhWiHOUpA60RFZCp5L84X4O53QJE6rX9fbAV47txcSnkpsUlsEkCOk3a9ExG9+sA2BB2JE9UF1MN2qvBM/Ew5Dx2Z9rIsNJVV4ToiLqlJIBcd9ddMXWWVTxTzGC8mpP70mTnM1FvYWs7j3TcdiJ/1599wA371bbfE19Pd7wXPjV3mjgMEvhJ6V2xVsefD0wu4cmoUU5UCZupNLLaCuFIfjQXaBateBxYa3aRei5IaVaJcmMrjiPs8103qjh+kLPXnz6t15s0gRL3diZU2IJ2ISOODXO+Ok1x3wmCpjxVzEFGf0BIkV4i0EkwJgNFa8pF8Er/VkazJD6IdEJNziLy2VQposkzus/PN+Dly0Tp1fu0Hj13AofNVfOqhF/DChSoOnpuPrfCC62FH5AF76vQsgo5UpK5Z6v0w10hi1FvK+XjskxJngueq3BVudJCSm2Wp11pBSrEr+S7m6m18/L5n8R/vfgBBp4NQSpxfbOLo7GIqLk1GxLl5JU/S2e8RqbcSS508gwRSNG7cOYFW2MHp+TqCTgenqnXsGi1ivtHGs+fm4t3yVPs8lCJLfaKYRyXvodpQ7vey78F11TnpmHryuWnI36GYOvXHQkv1Ge0Lf75eh+/zmLoal/cePoujs4v49R98BX729dcBSOomrDUsqfdBlvsdAIqeG2vCNBn2jZfRkemiBFJKNIIgjlsnpO5hspSPyZ5r3rlIMI6OAhU/F1sfFxYb2FrOx+7agudiz3gJF2oNnFtoxNW7eEEaivMKobaRfOREYqmTe41idhSbrUbKA5ENVzgq0TFHCLzmMrUZCikadS2MsHe8DIloOVyzjUrOhwsHjhCYa6gsVbpewXfRDMJY0ag2g7jUJPVXOZ9N6jooSe4lU8q6nW+2UGu3YyHDUY6O8SQiSrghxS5N6upZkwQ1ZqkX/VjzfzrKqP7Yu1+Nf//a6+LfT1UKMQkDCXnONlrIeY5aK8uEzly0Pu3KrUlC2XXbxzBRzONstQEJYEfkptC9R1ICixqpu0LEMfUgUAluOa9bHFAiUrWdrt/OQZZ6IwjipYcEyv0o57w4AYlA4RBHwOgR8hwHY4UcZurNWADr51FbpusqcWy04KsiJIbxQfvb19qhUuDYOXMsh6QZhAhDtdsdCfuJUg6+60AiWbI432jH8+0PvqNiqAvNdjxXR/I+9owr8qJSwNtHCkq5GYbU622MR5YvzUMBZUDU69n7oG8t51Pud1L2dFI/t9DAdK2JhWYQ53gAwIHJEcw1Wnjg2Hk8d24+FYf+7vELXe53ADhfVf01ZnC/V5tBvH6fkiApMZMs9Wu3jwMAjs4u4ky1gbAj8fYb9gFQu/ednq/HY7Kc82N5MFrwMZL3k0Q5X83bUs5LlZU2We2qj6N2R0vaAMAvKUtdICnyc65WR7HYvU6d5O0te7di73gZJd/Fs2fn8L/ufRrfevEs1hIbjtSFEHcIIZ4VQhwSQnxovdvD6yMDBku9RpuCqJdO2jOP47Qi12FsqVcTSx0ArosGMk8WcuHA96NSiTkftbaqDneh1sSWciGOde4YKWJruYDzi008dDxJJuGkzktbnm3PYaEV4JptY1hsBXFmuyrA4sdx5WozTepby/l4ApZZjPm1l20HoLKklQVC6/HVdSjWFSew5D1IKWJrbqTgxy5wcr/zpWWc1F3pwgkj8h2I1FUfHJiISD0qdTuaYakDSK3Dr7XbKEfCwfO63e+qre34XrGlXshhNnr+Z87MYc9YyUhaHNTPYUci77ooeF5KiFIWs9okQ72H63aMY6KYizf4GcnlMFHMpza8AaikZ5qIt48UY2KRUmVG502WOsX6G8l40pOMyFKvB8rNnOekHrnfS76PgpsubUzu99F8Ll4mqWOilMN0rRkLYN1NT22ZqTUxWcrFORdVw/igW5DiyePF1SjDfGu5ECvl7bZao16IwiF+pLjTfKIlcFtK+Zjoq812fN1yzo9JkiqlKfe7a8y7MUFKmbbUI1LfOaqWgfaqK76lVEi532NLXXO///zdD+CjX3sMi60AO0dLcXW6A5MVzDfbODqzgEYQxK5mAHjo2IVUPJnew4UqWerd7ve5egu1dqhi6pEspD0fSNGgVSDHZhZj1/uNOyYwUczhxekFnKrWcMPOCXz0B16OH7hmXxxTHyvk4iz7xZYKUQqhZJVeJpYMMF6AhnZuHC/kYqWh3griEsGVvI+xgh97F5uapX5+sYGxgg/fVQbLlVNjuOe5k/jUd1/AH34nqey3FthQpC6EcAH8LwD/DMB1AH5ECHFd71+tLioVpJIdUqTuufFLfeX+rRgv5mJrm09aSuaZLOVR8NxkM4Zo8Lzt+r34wev3pqxhFy5KpciFGgn8uUZLJWOV8rFlt2O0iC1ltcnIw8eTbFJO6s0gxG/f+zROztVwNFok/H1R1a5nokxTqqpGE4Dc73SfsUIudlun121vxa7REl6ydSQiuqSABQDsHU+yUklR6HSSREM++Qu+cr/zhDWu6OQdD0WXLPXsuCmBLBO6BpG6KfGtkuu+rkpK9FOW+syMIndKpiGPxPE5tY3rRDGH8WKOWepzuCZS2nqBJz7mPCfVlwBwaq4GzxHYUs7H1u/1OyZSJFfOeTgwXsHzF6qpa/u+2qqSlMiC56bcuL4P1JqdrjXqQOJB4OOJE/N0LaluVm8HCEWYcr+/bM8WvOklO3HZ+CjyrtcV259tNI3xdMJEKY+ZWivuC24B0j1bUchmopTHSDSespLlgMRa47H3+UYLlbwfv4dGW5H6XLMVKyZUTIcsVKox/5OvuQaAUnwXmkF83UrOx1Qlj7zr4Mlod7XtQ7rf6221mUscU4/XpSsy1D1IHCQXCBeY+51CCOcXGzh4fh5HZxejZEsfYwUV9tg3UY5Wnqglu6RY5VwHj52aTsXU6bvphcTiJZDciDe6ynlxAu6e8TI8R8Tr1XePlTCS93F0diFe1797rIQDkxUcmVmMkw1fd8UObCkVcPW2UewaLWHf2AiKnlolRMnEQqhcDn1JG4V6mgZLXcXUvfjc2Xorzu3YMVLE6fl65HlNW+pUN4BwzbaxWLl7+swcTsx3b5e8WthQpA7gVgCHpJQvSClbAD4N4B3r2SDTWmhCgQnid924H3/7/reg7HUXPCCBVPK9uJa77zhxktRt+6fw4Te/NL0eGg4KBXXvLVGC3cFz8+hI5dLMeQ5818H2kWK8c9h3jp6LLUIuhE/Oqy077z18JhZoV0ca8T8+fwaA0vyVppvUfx4r5FD20+4tIL3EK++5+Kt/9Ua89erdKbciZX/viXb6Or/QQCvsoJJXJVfzXqJhx/3ppV3a/PfU3+OVyKJu9heKM/Umxgp+PCmpfn0lImqOcpzMk6zDnm+oLF4idYqzdjqIk2moyhtV3VPu9xwaQYhT8zWcqdZj66MX+LvPU/Y7UwxfnFnA3vEyPMfBeFEpWHvGSilCLPkeLpscxQsXqqmqdp6nxuC2chGuI1QhFZG4JQsFiqkb3O8GUier7IGj5/GJBw6p/oqON8Mw5X7fWi7g//r+l8XVv3Qy45ndJkyW1Fa3zSxLPQhjxUolykWk3mzj6TOz+P1vP9vlbjZZ6lQwJR9baSEaDaV0UAY/WerVZhtffPo4Hj5xAfvGy/j+a/fgr973Rrxi79ZYeQWAsu/B8wR2jpbQ7nRQznlKcYhyCz73xFH8xSOHM5+d+gdAkv0eEce+iXK8D3rWPt1by3lM15tx7sD0YjPe9pja+GC0pv1MtR5ZuB7Gi2oMc5IKOsmOZNtHipirt9Pu93baQ8fndXNBjSHaIrWc85D3XHzvZdvxyn1TKOe82Dgq5TzsmyjjSGSp51wHW6NQ1fNRlTyqoiclcGBrGX/y7jdiS6mAcs7H+UXlsqcqkOV8MuY6ERmTPODud77qhMZvra1q9dOY2zFaxOlqPfa8AozUa83UdtlXRe76d79UrUL4hxdOml/SKmCjkfpuAMfY38ejYykIIT4ghHhQCPHguXPn1qxxBNKOufCq5FStY6phbtpEoOC7+PFbr0TJ92IrnaPE6hh7jhMnfVFc7pFoXeeWUgGuC/z0bTfg3TcdwJZyHu1OB2cXGnj3Sw8ASOLJQGK1NNphXPuYlkY9eWYWV02NYvtIMS7B2gpCzDZamKoUYqE+WvDjZSqm5DmAdo6jyR2ROtvpC0Dkfk/6ji99KfgOpmsqy5vicJOlfGxFF30X46NOvJ1lP1CBDpVNrpIam0FHvSut+0l5Ife7EGnCof2RSYgWve4EMgCx+x0AvnNEjU3KnDWBCna4woktQcp+rzbb+OzjR1BvBzgys4D9ExW0WsAtu9RGP0KI2IoE1Hu5fHIEzaCTqjMOAIHsoJRzMVlUln7RT7sl251OTGjcnUvviRfhqLfVKoL//IWH8JePvgjPEbhi6whqbbXBUMFg8UuJuPwmhyr40Z0kl/RnDjP1VlzUZszgfp+OSH2ymHiT/uaJo3j/X/wT/vj+Q/HSTdUOGc9HntlNnqlCFNqot0K0WmoMUB/nHPVcX372BP7Pex7F/UfP45ro3e4aK2EkqpxWbaoMb9dx4DjAzhE1B8g6JUv9s48fweef5OKuG6SQ6Jb6vvFyvGNZFraUVViAysXONVpxHgdd98FjKizQDFRyLZH6ZCmPip/u67kGJQ3m0O504vGTc514SRspWGRchKEqpJVznTjsSPLj137wFrzt+r3x3wXPhec42D9RidzvNeweK8ERAvsnKrFsodwkSrYE1Bwayfk4WyVvQOR+z6nVBwfPzcdeSSJ1Xr1yutZUHgohYm9NLVrCRp6xHSMlnK7WU+EnUkZ0S/31V+zAv33V1fh3r7kWN+2awN9fwqRuCqx1OZeklB+XUt4ipbxlampqDZqVBpE6CS83WmMNAAWvO+ZLg6Dou5go5fGzr78Ob716V9d1uQs277nxhCVSf+ykWsoyWczDdYE7rt6LK7aMxJb8ZZOV+Lrcskq2Vg1Qb4XwHIHxYi6eeK+/YgcARbjVZjt2002VC3GbRjPc76n2RxaIlBKz9TY8R8SxM7JkRyJLPXa/s6UvedeLE3tedWAbHAHsqJRQjrSbouehUFATdtBEOXK1jeb9eOewcs7vrvLU1hPlZLzelqoKUmGbTichu+l62gokSx1QJWMFgKumskm9VkNcC536miyGxVaAX//7J/DZx4/gxGwN+ycrCEPgR2+6Cj8dJd1xQizlfByYUBbCofNpF3yroxLYDkxWsH+irDYa4Vu7dsKY0ObmkhKzTpiEfgj1doDPPHYEi60Av/H2V+CT/+K12F4pot5WO82ZFFYpI3cws7oBYL7VwmTZbKnX60qpU1v/UgJWMl7GC8ojQmOdEuUA4O8PncLWch6uEKkNi1phJ85BmE+539sYzeficdkMQzSbyhNDQt2P+ofi1DftmsQdVyc2RyUal1QsBlBK4I6oAiPNBdX3IU7M1brWgev48rMnkHMdvHTnBADgii2j+De3XYW3XLWra98DHVtKVI65iZm6UpbJQ0cu+AeOno+VZmrbj91yBd7/yiuRRzoPhAibyGuu0YLvOHH+hxCqmlzBc2NPHLVxJO/jTDVxv3OUI88fhcX2jpdxbrGBh45fiHOVqJoekFQaBFgdegm8bNdU/G7J/V7OqTyOX/nyw/ivX34EQLLSgix1Km5zfbQSieY2ud/Hmfu93g7jpD6AChWprXBpfwNAycL3veIlKPgu3nbdXlwzNW7cGW41sNFI/TiAvezvPQDWTsUZEFT5iYRXKecl652Zlkcg64RcrG+7bi9+7g03dF2X1zH2RPJqxssqzkW7jU0WC6mlW5SM875XvCROSjGRer0doh4k7tFd0bKSN0SkPlUpYLrWjAl4a6UA2YpIPe/H5GrKHqfnCzuqaMPZhXpKyCaWuvqbQhdk1XY6KhGOyqe+7vId+Pz/8X3YOVKO3f0Fz4UQVFBicEsdUEoJFbKo5Px4r3spFbFOjScZugCw2A4QdFQxCnK/h6HKcZAScdyNJ5ABylIn1+ODx87jwGQlUwkCkl2fOp3k/ec8F2+6cifedeM+bKsUcPeTxxBKif0T5bgaW3I/Zqn7HvaPV+AIVUyFo94OUfA9fPRtL8cvvOnGrqU+rSCJqVOoodUCOm11TAJx8aS5Rht/8fBhvGr/FF51YBsOTI6gGFlE9QxLHQCu2zaOoCPjym1B5AaeNCxnC0NVTZHGBy1lKrnJ847mc6i10qROimfYkbhp1yRGCn7KIuchDR53n2u0Iks9IvUgRCfKmZgo5dDpJJnaVD/ht3/oNtx2YFt8DSLyM9V6nIzpOMCuiNRpgxHyyC22griWgwkLzTa+9MwJvOWqXbGi6DoCP37rlRgr5hCG3dXnOGhsUC4OwEh9sYETczWcW2zEu+IBigxfdWAb3viSnSkvGgDMt5J+BhTJ+66DvOvGBDnfTFeTozlTyftxqdeyltNC457+pxyYRhDix299CQC1fp1AShKQXm78hit24j03HQCgxga53wG1BJRWKoxr7vdHT07jQq2JN1+5E0AipxeipEfufgdUKIzQDFU+RyvsxHX4dfzAdXvxc6+9KZVAuprYaKT+AIArhRCXCSFyAO4EcPc6t6kLRAZOh5ZWJIOUhMJihvu9F8hS8xwBzxWx8PY8RcCUmDIRWeqEa7eN4U//xWvxfVftMq7jJlJvtMO4vCKg4j5Xbh3FgUgL3jlaQkcCT0TFLabKeZQiIh/J+8iLfpY6xaJCPHd2HlduHUXeU663U3GWfeR+pyV7keBYXAQqJRbOyCs3YKeTxLuLvquWqfheV0lXEygjGlACl5SVMiN1cn/v2OrCEQLfeP4Ufuqv78NCoATYGLPUXbfbUu/IJFQAKIFRELm4HwaJp3eRuuvg2u3j+I9vvBG37tsab3BxYHKkawevcs6DF7FtOae2otwzVsahaJkZoREpc0VfxTOVKzyM463NMETec5Ry5SZ7ZxcLIn5WUlaeOj2L2UYLb7s+0b8psa8ZhMaEOykR12SgpLE449iQKNduq1j/WMRaNH5G8+rcvOfEz8BJvZTzYnffTbsmMVrwtV0Ek3nRZakX/Ljtql5CG2FHYqKUR6eTLFudqbdQ8t14a1ECKRQn5mrxmHBdxHslkPud5080gw4a7RDv/4t7cc9zafvl7546jno7xA+/dL/a0Gc69TWkTNcV1xPmSKGebyTet6unyFJvxvsTfO/l2+PfcMOCyJmUmYWACvEklnrOdZD3HLa3RbqaHFnqfLlsSSu7THKD5Mplkyo0+O6XHsCB6PP2EbVXg+84avtjmd41U0rV1z/5qmvxq2+7BTfv2qIS5Qrdsiom9ajNXzt4EgXPxauj5bkkp0mRpPALeVpenE4U5mbQwXS0AsqknK4HNhSpSykDAD8F4MsAngZwl5TyyfVtVTeI1KlYByc5IqD0Hr5q8JT6kXo0uOm6fEtG0vbHCzm4wtHWzgtcsXUUQqgqd7qwoeSvWjtQMc+oHT/3hhvwu+95Vexl2B1Z7o+eUtJjqlLA3vEK3nD5TnzPri193e95JylTemRmIY43jhb8lJUsRDJxxgp+PCFHOalHE19K9Vk9lxPHyU7O1fDBv74vrj71haeP4xf+9sHYCpypNVFrh9gW7Q42GtWfBoCy58cJkCQIPU+gnPPw9Jk5fPfEdLxBCJG6EEo45fNJfJiwO0rmG8mrJS1EPADiPsgCFWJR11TPzzdVedmeLfFnvYKY+r2IhVTBUwU3Lt8yimfOzqWS5RrtNNnGLsZI0LaCDnKeCykTxaXTUcRKJESkfjTaK30XKyBClbsaQTpRjiAlsG2kgG2VYrxxyixbA66DrFDqy5NzSsDS36VIOWm0g6hkqIuCrxQz8ga9dNcERvNpUuerUuYbLXzl2RN4/vw8FrREuUYQxiGHiUi5LOQSS72c6/ZW0fw4v9iMrXbXVUsqXUfEW6fqJZ5PzNfw9Jk5fOtwsp75wmIDf3T/c3jZni24dvt4vJe5Du6xO38+TexErvONFqajkMH2kQLGo30b6D3esGM8HnvcCzcSrQa4MXL9J+73XPy37zrqPQRhnIfCQ2qAkpc8uTbL/U7HD0xW8D/eeSt+8tVXJ9cQAvsmytg+UoAjRKzc8t0nHQdw4OC1l2+HF8kK00qXOKYeeWP+/tBpvOaybfE4d4RSZClcR0oMlXQ+FmXli+gaFI7hiXLriXUoYtcbUsovAPjCerejF8gVS1Y5H6Q5x4EjlKUcdiT+w+e+k7iP/d7dTYOKioCkSH1UCfStlXxMgqRcpNfRq0QPvlyHu98lZFJcwXXijF5A7V8NAI+fnEHOddTys4bAL735ZfB94DX7d6At2plLkDqRq/7h4xcgkaw5fdX+bfjbp1RCUIVZ3YBKACLrkCcK8sk4weL/ZKk/cmoRR2YW8efffQE7RotxFva+iTKunBrFE5E1SDUA+DrxcpQoR5Y6EFkTrN+oGtRYPiF130+EKPe67B4r4ZmzczE5lX0fAsplTZWoeoFc8OQq5JXdXr5nKwBge5S0uGDw1k4U86i1QriOgO8Dr7tsJ77x/Cl88enjsTVdb6fJlgRprR2inPcjC9uJhSMVNCkWKSmwiWJOJRyS54CEHIDUxiUm9zu942umxvHkaeUJ6lUiVkqzpU6KRSnnoeB5OFdTrmVekW4k7yPsSFyxZRSjhVyqAEudebAu1Jr4P+95FLfu2woJRYK0Vr8ZhPFudpMlNediUq+34u2DOfiYJeXDdYGpchF/8+Nvii05fbvQI5HF/MKFKurtAJ9++DDue/EsmkEHv/DGG+L+oFLF5KkRIrHUafc0Lg+4pU5cP1nKY994GS9cqKIjJcYLOYwWctg+UsTh6YWULHMdB7/3rtdiLqjjwWMXMFtLx9Rn6y2Uc34cU/c81af7t0ymni+fRxy6A1SlPd5Ouie/9637unOl3nPTgXiMUX9w6Mv7OKnzJN5kSVsHR6YXMFtv4bb96fsVfS82ECiGP1bIqV0rI7IfKfhoBZ2Up2gjYMOR+mZAkiiXDEYapI4j4pjv2YV6nF0KJC7nLNBkz7tOanB6nkoYA5LkF8r81Emd2mMm9WyhC6jEOM8RWGhRZSkRW7OdDnDF1hFcu+u6WHjMzACT0fyVEnjJljEIAH/20PMAkvjdj7/ySnzpmRNodzoYyfsImjz73Y9ddMUUqSeW+o+89Eq866bE1ctjcn9/6BQ8R+ANV+zAucVGHDp44tRMtE0qeQvSsWeKk7fbicY/VS4CQhUHejZev5/E1AuFJDEpbamrd0MaveuIeMtSqkTVC9SfJNS4pT5VKeDARAW7onuY3jcvS5vPA687sAPX7xjH/7z3afz2Pz2NH7pxf1cCG/X/YquNKRTQCjvIuW6Xe79YTM4tei4KnouZukqQ4mScE8m1s2KHROrfPHwqLtbD+01HqQSMFdR3lDlNCnLJ9+Kywjx3AgB2jRVx5dRI9B58HGbuUgqFuY7AU6dnEXZknIA6mvfhC1q9EsJz05Z6KSL1xVaAA5PdopMXNRqJPFA0trYwJYD3FQAciWK0R2YW8OVnT+L3v/0cRgs+fuZ118XFrKRUY4/2RCcliWd/c9LvdIBaVYW+5qOdJEfyyrtx7fZx/M0TRyCljOPXOwykDgDbyiXIuBRymtTnG21MFFXtjXrQhudLXKg1ujaByuXShN1peliMluOpxFeSo70LNP0A291Qd78DyXwm8Jj6NdvGcGZB5RHwJW2Up3Q9K9cNKCXg+FwNjkjCAbQclEh9rJDTLPXucVyvJzJmrbCh3O+bBTRpirlkM47zUTE35Ub1UWsFscuZYHJLcsTZz1FCGA1Yx0lcnZSMQQPaVHiCLxEBkoQgSmTi5Mnhsmz1reVCLCjIkuRrYhuN9N9Sqja+ct8Uzi6oUrbkjtoxUsS7b9qPyVJSlY7aMFZQAjOXg2ZJevF1pyqFOB4rRKL1v+emA2iFHdTaId7/yitxw44JPHN2Du2wg8dPzeDqqbHY5cwt9ZGCH1eJC0NlfTsO8Etvejn+4J+/BkCyled4QSXcuK4iGXonvK2jBT+1Hl5KJeAvnxwxxpd10O5yFYOlDgD/7e2vwH96043xuTqu3T4WKw/KdS7wH153vdomMgjx5OlZtMKkJrsKaVBCp3JBtsIO8p4TW0A0rrhAzrM1vFOVfKoKHK9GZ1JeqQ+vnRoHoOLqcQlWzVIPAnVf31fXvW77eNw+nlRV8NSmOtO1Zuoa///vfzl+6ftuBoCumDpZetsqhXhNNeWfjBZ8eBHhhrKDajupSy8lUMgn4tK0Ha/uuqZn7uqLMLEegYTUW2EHn3v8CCaKOXzx33wf3hXttAYklim54InUiCzCMP3eajWl4I0VcrH7ncj42u1jaAYdPHl6NiH10SQzXweNm1mtTr8EIve7g3o7xIXFBkIpsT3y4JAC6vsJYRd9FzlfYOfOxBtkstT7gZbzZVX7pL9pTl05NRZvhkQ7JBKpV3JeVx198pruGSunlOHJUj7OBRkr+GiGylLPuQ7KOQ+djiJyIHkHa0nogCX1JYHc77GAiQod0CBW8cUg1ugAtezNNxT34KBJTgk5fItKWutK2iCPxXZdJ2pXJa65nFjq9XYQr7E2gSzCqUoh1vqJ1PlOZUGgJivdnxSAd91wAIDa15rjg997Lf7ix14PWrVIGjTF1D0vIUrfcWIyJOFF9xFCucPGCzl84FVX45X7pnDHNbtxxdZR3LBDCf9nzs7h6bOzuGGnakO9nlhRec9BznVTGe3UHWMFtT6XllHRxiokmCYnkwnKJ3rJ9/AvXnYFvv/aPXEbf/iGy/HeW67I7GcOUhJj97tWg33XWCnl6tbxE6++Bv/t7a9QfRfxynU7xnHPT9yOW/dNxVm/1L9SJmNE1SXoRH3jxslXPPRD5xY9Lw4hTVXS1liej6nQRcOwZ4jrKm+O6wg8eXoGp+fr8B0njj8T2m2lQBEhUsGmoufF46IYxdDrQYDT1XpMSgDiAi+AcoMvtoJ4Ry7yVm3X2g8obw6tRZeuiqkLJIonKfHqHt1zaEQjdXpmDh5mIU8Wud8B4Nlz83j53q1dW+Dqyha3VGn8eJ46HgTqs++rdlCiHJWYpZCURFLWmjLK9ZUtJM8A5W7Pe06KfH3XifdsoOIyZKlTmxxHrSEHEuKmtgKJMTMoqQeBmrdbtiR9ASS5ILzt20aU8nnjzglcsUUpvqUc5WMohffa7eNdZYopFHhFpAgQeIZ7YqkrI0YIgVZLjV8i9p07e1f9Ww1Y9/sSQGRAg502D6CKY1TE5SSrwV3w3a6JqsNzVWEVPabuOMqa+bevuhqvv2J7fCxrsNDkqOR8nF9spmLqADItdSDxCEyV83GcDkiTKxE6vz9N4Fv2TOF1l29PLZMBVPJJOSoR63nA916+DSdnGpgo5VFbTLvfdYHJlRchgB++8TK888Z9KOc8/Pd33hqfd32U0POZx46gGXRw4w719+IiUln8vP9IAPJXs31ELe1T7uX0OyNS9xz1rlphB6Wch3cyqwoAvv/qfahkb6KVgucpIZBY6tnKn8n9TsdNY2KqXMC9L6iqgRQu4sTy0a8/Fle/yrlO7DUBEsKIPT/MUt+mKRlcUcy7bmyFNZvJsivXVYrDlVtH8eTpWVSbbdy4cxxhINAKlSsWSJLk6L285apd+H/+8SnkfRc52qrW91JV9w5k7FhGHppqs42JUj4+f1u0vCzvOXEBkdGCHxcAarRDVZGwmIPriGgZY/JeTARU9F24QiCUMlZU+DsRQi0THCup3167fRwPn5jGkZlFCKg5EkqJl7PkSAIlMJKyRO+b7tFuJ8stg0BtbRsECalP15qxEkGlWKvNdpx8+fbr92LHaNGY30CKXK0dYizaYpmQc9w4DELr0InUgyCxVMlSJ2WLW9ncUqdaEL3QaAC7diVJqyQfuKJA2DZawCff80Zctr2Am3ZNqDoSeeUxnGu08Pz5Kv6lQfkmS/0lW0chJVCtqs21trAwz1gxh5YW/pFSnTc7C+zZk6yayarPvxqwlvoSkFjqCamTa0wIYGu5iGOzqiLStoqKU5tc75RhzFH0XeRcNzU4lUYu8L5XvCRe4tHLUqdJQgS2kLLUw56xfW6pc8FB7ZBSCabx8bTlEMdipcBH33ZLF6nzZ3Zd4Kpto/j3r7kh1pC5pZ61Dp6e2/dEalkQYXulgK3lPL787AnkPQc37VYBf9dNXPac1Mnz0EXqlSQxhu7J+4BA7R3GbWhCLhdZM8Uk/JKFrPdO70p3SU5VCnGSVMpSj/rj1Hwd90ZZ12Spk3VFPE2bZhS8bFLneRrcizE/n7iMyWq9fsc4njg9g4ORVapvSkIERisOSr6Pt1+/D5dvqcBznWg+eakxQPNCR5wsFi1PI0udwky37Z+KlwSO5n24jqrsZ3Lr51OWevcYFULE44v+55Y0oIhu10Qe//LmK/GuG/fHbuDxYi4uMmUidbpW13xD4pan8czHAu1cdmExsdSFEHESK1nqY8VcvB+EjvS79ZDz3LjPlKWuEuVosxNyv4eRoqay3yPijgwg7sHgnqC5ucGsWiJ+7s2ka3IDQAhgW6UIIQS2lAv44ZceQKulQlyPnZxGKCWuN+zNQOP88i0jCIJkfPLcjdGCj2bQwYXFpERsp6O8TPv3AyPRkMzlskv5rgYsqS8BSUw9IXWexHL99gmcrtbx+KkZHJis4OptY0YSqtXUP45SzkPOdVIxdV2IJ0l55vaRO4sED2V91rV16iaQpb61nJA6JcqRoO10Eg2cuwN7lawkcJccfx7HSfpTJ0l6/n6TXQiBd9ywD9972Tb8wT//3jgvwPeBshetV2fCloQhkTr1N7lyx4u51HH6XVImeLAEH45aTSlFHETqZKnn+4Rp+HiQUgmcrDHB3fY8pDFRzCHnOtheKcRL38hD4Diqz8hiLzFLnax9PRyQEvysmhgP2ZCScN32cTSDDiSAW/Z2ExiROaDaEYbAz77uOvzG25VXZsdICbvHSilF+cBkhqUeve+vPncSb/29L8dL46j9V02NxYlQZF3nPFX2dKbWUjHU2SiDO9+d88ERBMmYGGH7C+jKb6Eg8N6XXaUs5uieE6U8rt0+jt1jpdT2pwRStrjnjPqI5JH+nSL1HM5W66i1gziLX0rg5t2TKOc84710uI6IxwZVHaQx4bsOCp6DRhDg1HwdlZwXL+slj4vjJEt9aStjUj55gmgp5yGX654fxjYxWRPXDWGhQr5CwNSXec/Fyfk6PEfES/Y4uKXOkxDJ/S4QrbKQEmeqjZSl7rrKU0L37lX1bzVg3e9LgG6pF6OBSklXN0Ru37MLDbzmsm14/RU7UrWzCSaSGivkUMl7XRayiViy3O8l5n7noGptvYrg3LhzAtdtH8cNOydSRE7WE49f6e73XK57b2cS6HqWrh4n50vaRgxWEJGWbvnoeP8rr+r6HbfUK4zU6Vq6sCT3IbkidcFAEzwOv2jhjCwXOZCUX+VFQ6gvRwqDu995QhS5W3niFIEvvco5biwwy3kPf/Ejb8EzMxfw4b97CEBC+o6j2kfCiJSNXpY6VxQ5qXMrhQTxDZEQLfkurt02jka9+znp3rkcsLAA+L6Iietj73gtykUHn4+WSY5HO+OZMBod/8ah06i3VWJU0XfjSnWXbxnBibkaTlfr8QZLlIA3U2/hqqkxFArAgQNAo907pt5uKzI/BcS7+9GzcMWLV4EbLfjxTmD/4fXXR+VWuwcPzT/+N78+/d9spkMxI3k/LvqypZxHraa+/9GXXY4fuHZPZp6PPs6KvhsnWzYaynCYb7SRcx0cmBhBRwL3Hj7Tlfkej20WU+dkF4aJ9TteyCOXU33Vq1Ie0D3OaZ7zkCVgnod8l8jXXr69az8BQLVprOBj52gRzUYSr6fVR0U/KYVbawcx2eveTQDdJalXGZbUlwAaKFMj6kVujTZYofjhVVtH41jdrtGScc0lvw7HL33fTXEiF8FkkXOLUUccUzcIHqC7+AXHVKUQZ4AvLKS1TE5+OqnrCW0E8kRQfDnLonecbHe2HlMnBWoQ0O/IDTuS9+NnImWCxyaBxDWbReqU9V9agqVu8rpQUhNVv+rnfucrEngyIwlyHsOdqiTS0YMSyDzOyS3cPMvl4GvyK5GFmvdciA6Relp4c6uZsvfJC8IVO8dRRY7GCzlcu2MMAk4s3OmZuCeH4sTUV46j2uGwBK6seDqQWOq0He3h6SrKOR837JzAK/Zuxc27JnHV1Cj+2TVJDXe1pXKImVpTFXty6bkYqbN3Tn2tVjD48ff0OyJbUpL5+Kf2UYlbk0JL99AtPu4JoHemJ7Xy602WkjyZnOdi20h3smCjodo6MpI8E6Dc7nONNnKui1oNqVoXt+6bgiOUEUO12oGkTULwpYh+6t22WsCVU6P4+HtejZdMjMN1uw0DjrjIjCEsyN3vfM6aZCQR8tuv32e8z3tvuQJvv36vynMIE49RJdqFM++5KY8aX86my2s9vLfasKS+BJBg3TlZwu+/63W4bEsllYEKOLhm2zgePTkdx6gBNVnItWlCuw3sqozEmj2/HxfU+jEdPEblCBGXAiX0K1fLwQUQfc7n0+RCMCWq6OBCW88bMCXK6RZDr+c2gQRpIXDjgjpcm9dJfRBL3fOU8OsVLuCrIfTv9L9dVwm4rRWqU58t2HkuQKOhknKq1bSFQN+rwifMUo+URX7u7tESXEcg7MiUpV4qJeeU2FK7gpvlfmeJcp4bJyGWSok7NRkzAr/2g7dgopSPM90bjaQ0LbdsdMWRe1RoHF+2pQepa/XLm0EHW8suto8U8f+865UAVDx552gp7peC72K+ofbl5qTuOCJOhKM5JiVw4QIwMaE+86qLnLyq1cRzwccAtc9UVU8HJy09pk5yRZ8nfKe1LaV8X3LhRWy4R4zycAqei2IxsXR9x8FEKYfrtk3giTMzcX17SpKj+1FyYEnrF0r8u2HnRKxwttvp59Pbp8tPelbeP9xS159ZSqVM7Rot4RX7thr7oZL3U3kTnhclOebUHC0wSx1IvA2mEBiXMWsBG1NfAvgg2j8xAiFEihgcB7hhu3Ix8lKa7bYidiCJN3K0Wsn3+kDU40W9YupEMjnXNbrXTEl7QaCKyejQ95L3fVWQhL7j5Kr/DXT/zWPq/Hkch9eATiYTVx6Wou2S29J1BX75rTfjh248kJrwfMKRMNszVkLJ92Ir1kTq7XZSFtdU/lcPTXD3K28buf8rFeCGXaP4ze9/Vbwjl+lZuCUehorU+XfUPhLG5XySrczXqVOfeq6DPZHiSZY6kTplo5MHoeC62FouYCTvd1XP4mOqGCWO0soCaguNnzBUQnz3WEnFoYtKwIdhEofN6kfSHXhOw/4elnol73Vt/ZjlqSKLrOC7OB0tz9L3WaD5RIlfrZZqPynhI3kflZwHVzhd74OunyZ1P75PPxBxUzIcd7tTljU/lxLlCJNDkjoPkxXYGMrnWfVLVy35vG2fWpVDSaakrMXPWVRVFilRDkjeOYHuWSqljZpWKxlDpBhxEHFnkboOIYCfetUN+O0fvq1rKVsWKIxEa/QLnptaekqJcib3u54YuNqwpL4E0ADig4hPMMcBbr96D26/ene8b7kOnhlqcmGbtD2e2Qr0d7/nvWSP7lT7Q69rHbFpyQUX/nRfTur6/U1uJpOWzJtEFiWgSN0VoqsYCT07t7BNz007i+nHyL39vQd2YtdIucv9nlhi6rqVvI/P/x9viXevM5G640RKk+MY3eW8jY2GCkNQIqXeF64LjI0pS/CGHZPGmCo9Cyd1Lni5ZcOJFFC77QFpa5rHH4kUyW2uDxleFOft1+zHp370dV37C/BEubznxFYjuc9JoSkW0+5VOoeEJtWb5/3Iz+XCcddoEZ4j8NJdk8b+AgBHiKQOe/TAWUWgOKnT2v4dlVKqDeSCzwkf7baaN5VKQk4/dP3l+JU7vqfLc0J9QGErApGuPuZN4EoR/Q0kiiG/LhFdvNpDKKudivr0Cl9xLxONNeqzvOeqUFE0JjxHKS+v2b8drhC4LJJ3YZjICQAo5h38lzffjO+/Zm9XLgCH4yiljtrXaql/JK96Weo8obYXqQMqNr7DEH4g6CEyGscFV1no9I9gLfVNDt3CI1Lng2vvWAW/fPvNmYkoROo8O5hgInUS1JwE+7nfaYc0IG2dFDy3K25l2puZnpMEhBAqIYs0Zf3+g2ij/Jp0X7pe3nfx0TteiXfemI5z6YpO1nM3m0nRB/33hUISt+XXMbnfgXRdAV0wjI2pJSujhRzGin4sSIBuaxpICFe3Mob1PujWE0+Y7EXq5ILPR0sldXIkUqeKcnqbyINS8FwUci4mit2FcFxHrdt3hVDFg/LqHnzpkRDqPegFQug8cr+nNyvqfn56hj3jZXzux+7ouxMexa1piWPW6g8ijKLvxiGrK6fGUu1JSN1DvR7F0SuJ0rlnrIxXH9jWReoUn86y1AepG06kzj0fQKJs8+tSf4/mE09AJxSxV6RX3BpIewS5pU6hFZ79rp67gs/8+JvwvdFOZ6TAEDwPeOMVu7GdKUmmwjxE6mTANJvA1FTaUtdJneYAb28/Uu+FVivttaR+V/cSmCzmU4lyAunwiSX1TQiTpU4JMIMmRZCA111QdD0dJLj1AdvTUmfudz7osmq/m9qta/8TE4l7VD9/UBcTTT4gLcSFAG7auaUrDqq737P610RIdH0TqQuRHb/lMIVCfB/4kZdegV//wVekliaaSJ2eIQjSVqiuvPUaN/zd82uTYsJJXV8XS/Fvpah0k/p1O8bhOw5Go/ix3o5rd47i5bu34sqtY8YQC6EQWS9CiLh4DJEQTxrj4CEILtRNfcKVZ3rX/ao0Akr5quQ83LyLSN08UCmeX/DVNfeNl1FmiV0Ac7/nfYyMKGu0VEp+q3tRgO68FKP7fYCYup7HwucDxa/5uBACqEQDfLKUjw0JXbHi0PMXYkvdSwwFIfiOkk5836lKAUKIuDgVf4/0fvUwEZAuNU3jWcpkvoxozk5TwiD1BSm0vUg9a/wSWq1uxYHGseMAV28dx4HJShyuGi/m4DlOShHS27eWpG4T5ZYAHlOnwU/amEmgc3By9rwkM9Z0HgdNCu5+yiJ10aI6y168TGeimItr0WdZKqbkLj2mrp/PMQypE3joIgs6adF96/UoIzUKqXIXPb++7pqj+7muKqLD29UvJ4Bj22gBuVwhVWuA2kCWOSGXU4VYSInQBRx/Lh1hqCyHSqXbQyREeqMPei7uJdheLqPku7EA5iQLAK+7fDv+5l+/CaP5vNGCmyjl8H/f/sq4H7MIoeh78fa2pEjpXhaT65TmT7sNbN2a7hOT+52uaRpvlGTFCeXAZAVby/l4ty19lzT9+mSVXrN9rMtzQKReznmYmEji2fl8oqDrpM7fFx+LgNospOi7qdybLNC7JvlB4yWXU2ODX5vGICkNtOSKLHoam41GtBRvJLkHbyuN4zimHsXQy8xS1+dNs6neI4fuXQLUs2zfDpw8qbxfNMdJcQsClTNCclIvYsRBx+jZepFoP6OLh0FJXvDk0w+/4XswMoJ4MxheeCZLBq7lsjZL6kuA7n6nYxQv60fqNDg9L8mM5chyv+vCggSijt0jFfyXN9+MV+7Zhj/97kEAwDhLxKF65jqBk8KhJ9w4jppgJlInRWOYZRtcm+3lKtNjyPz31Bd6P2d5G7Lux5N5BrXUCTzPgV+fEw/dr1JRxEwCSve69LpPs5nEok3ud9064SRSrQLvuvYy3H7tTgAifpfp+4o4E90kDPVn0/uI3n/Rd+GGIvZkENHoIQ/fT5Lo6Po0F8Y0T7puqdN4MLVVSqXo6db+L77lpehI4LGT0wB6b6ykXMsRqUdufd6GnOsi7zlxLJmEdbGolJhGo1th43OI3h9d85a9W/GVf3t7V46CCdxS18mRr5ih72g9tu84sXtfV6Ap7NZoJF4k/s7Iw1TU3O9UZth3nC451OmoMB0HH6P8vY2NAXNzqu26sUSeBUCNJX2VB4H/nc8rr1mWTOG/N3n2aI08KQfcC+u66aRIcr9T3+oKIEe5vHbJctb9vgSQEOKDmVy5fLKZkM8n7h0u4Dl6xdT7xYvUwBJ40xW74XP3O0vEKfpJsRx+Px6v41aFTha8H7jl18/FpLsG9Wc1TUBTIhgnzEHAn8HUtwSd1E1LkDjonZjivnQtWtpDMWYK0ejKgOn5eTto3JBQpP4gQc+tE/q/VgO2bVOW6YHJSirkkeWWNAklndQpt4OPHyHUuCJB5/sqVKOPIUApUtwjQM8wMpIOT9B33CXMvQW6kKzV0p6X5BoCriOwM8ry71VR0XESAqNNiXjb1W5cSQEjArVdV+YIZCGbwhuDEDrdj4/RLM8ZvQ/1T+DdN+3Hm67cGZ/D+01KRaw8UZaPp1iJC9KkzpMneTso5m3KUKf76fNPzxPgsog8O6VS4tHU3ztXFCYn+xsKfH7qaDZVf5BngK9YcN30+KR16uQF6UXqo6Nr54K3pL4EuK4SWLpApphaL0u9UEiEjz7BCCYNkpMSt3B00IYIdH8idV5xi5alkGAl4tHdtrpHIKtN/Sx13aLnz9mLZLllprvfTYKN+k1Xkvikz3Lb8uchtNvdJMPRSyHjpE77sFNiJF+WNIgrUAhFGtzS09cp82vRvSmJi49HGhs6QQDZQsmkeDQaqjgRf+ZK3kPJTxdOonHDjxUK3aQuhNrRyjTGdG8S91TofaVb+hxT5QJ2j5VwWUZJWbr+WNGH54h4oxt+H99zUMl5XfO7UkmyvU1jk7LO9Xc0DPR+zPKc8eRWAPjp116HVx/YFp+jj/9CQbWt3U67mnlf0y58VOtAd78T2u101rveVtN858nCdB7NERqPxaIaH9u29Sb1QkHt3sbvwfua5BqXIYRmU91vdDTJSyFLnfcToVVXDdkygKW+ltgATdh8EEINMj2LlzQ8KtVoAlXqIvfUoC5fkwVA53BXJmmWJDRzLLHHdxyEsqO2FC0kmeJBkMSlSRvm99GFhN7GfqTOrTuukHABZ3pmXQD08lDQcVN/9hOG/Pq6pW4SUARTsR1O6nSNfD6xXrilPki7Wq1kzThZTrqlqit5PJZL96SxaiL1RiMZz/1InRQKKRGX9CTB9+9ecw1qdWkkYf6cfK15P+vFNOa4e5j3PxfAJriOwF++74097+c4wL+49QCuGt2GUs7DQivdxpGcn7KETb/XCQpISJOfN4hSx0HPToSUpWRnedboGqY+LRbVbobkauZKY7uNVK0DIZI6+JT9TqCCQzp6vWdT3k4+n5AsnTMxMdg1tm0zh+uo33gok6PZBC67TF2LkzoPsfBKmiVP7RRI9SyyPF1rjQ3QhM0Lk6VO6EXqIyPJudwdp1tbpnvppN7pqASscjlZCuK6yXptjzZi8B0Ucy6C0IEQIlV+k9YGU11yOkYCMsu1zknd5KbmcTmyHMnyNVl/utXN3a28b0wko/eJKS9A72MdJpLoleDCE9RIAOiWOpAIAkoC48pAP1Jvt5XlQaEaEspcgHCy59csldQx7lHQl5h1OipWSWPHRIo6OVHby2U19uj5rpoai2Paej+ZnnNYUtdjyboVT1aonmMwDMhSv2prYvLze/yH11+HRkt2Hee/19eRA+myu3TesG3kz64rhHSMW+Km9umkTu+gUACmpxVx6W0LAqCUT5M63yZYt3pNc8Yk4wh6gSJAjcdeXjIOXWnM8n4CieJKRgaBQm18m2B9ztD+7TS3izkPf37nmzA17qeuvd6w7vdlwERMQO+Jms+rjE+TG66XsOMCjE/sIOiOidE+wwDY7kouir4XJwHpm0PopVv5ANUnjf7MuqWux0D5JNLd7/w6HBcuJAld/UidZ5nz+BxvZy9hyK+lk3qvSUpJREQkWaROQoYsGC7ETO9ZVwhpeRgpTtQf/Jm4sCYiJ+8Lj5FyxYCEd7/MYv5e+feUMa27ak3PpJM6KXn9LFVumdNnk5XLxyB/nmFhIj3+947REnaPlTOVdu5R00mdk1SvpYG92tZPCeR93atvubeIDBJKmtOT2oIgscxpSdvOceXCmizmu5Qrk2LYq92mZXqU0T8IsuST6X4mWQd0hw24d9K0YiMOi+Vzqap0S1EkVxoboAmbGyYB02sy6Ra9SQCalgyZJoUQSuBPTqbP5YOQYuq+46LoufEadV14cwsHSAvnXqSuExcRHe2LzIWyng9gUlIIFMYwWaDUProf7y/T3sX0OxL2We/H5JbsRer0rriLm4jPROp6e7IsVa4U0Xihd00CVFe69AQsysam+5OQ5sJKiCRck6Vk8H7RSYVCChT+ybI+dU8PV9QGyQjWFV9dqQHSxZP6VUwzgSce6nNZf55+7neTsloq9V8+SajX0VXx0dSWrPvzMavfh79L3k7yttD/eniIjAEi9cu3VvBn/5834dptE13GSC/F0NRukxVfLJqTHk3opagD3caKKVFODxvQnKEcg6zr6e9wrTLce8GS+jKxFFLX/+aWVJZg1IUi/T8yotygFCOniUkgUnfhIue4ceZvr2QTwOzeNT2LTriOo1z/ZIlxzV+PqZv6hPqTCNhE6vy+nMQppmqKqdMz97IO+XEiu0GEBV9HyxOV6JpZ7zLLqiW0Wul9mWmdOj1/L1LfujVxJfIwAZ2rKweDkDqQHgeum9Tp7jV2e7nfBxGCnID4OOXX5KEDCi3V60jVEOgF3pZelvogpJpF+qZxzkHvIAy7S+nqnqascWlSoEzLJ3Xlg8Ywrcrh9/I84LodY7h22zj2jY3E39FOffRcfDmYqV9M/cC/60fOWSgWe2/VqpNwVva7bmzxcKHpeqZrbHr3uxDiPUKIJ4UQHSHELdp3HxZCHBJCPCuEuJ0df7kQ4vHou98SUS1OIUReCPEX0fHvCCEOLKdtawXdNUzHdPSKH3ICG4TU6fqeB+xQ5ckxPq5+z137Uqbd7xPFfLymkgQYF5a6O7Ofpc6P8eQsyqLlrmjTb7Lc79xK4NaTyaLnBT94ZjldnwtXcs9mvQd+3X6Z7/QsZOXoy3LICjYtYepF6pzAqK44YWIi7YLn70e/DxdQ+viidjtOenvULJLNImHHGZzU9d9lPb8JesyV/yNwhZFvDlMqJVn6i4vmQk/67/tZ6r2QpQDo0D1MzSYwO2tWOvV+6rV8VLfUybWtX0NfIus4iSeIzzka33u3lPA/3/4ajBdzXX1P16X+NoEruVnzgZ83DKjwTxZ08uWeIg5uDPF16abrmd4TGWjrjeVa6k8A+CEA3+QHhRDXAbgTwPUA7gDwO0IIetyPAfgAgCujf3dEx98PYEZK+RIA/x3Ary6zbWuCLJedjl4CjNyFNKGykrlM66IJo6PAgQPJPsjUDt9Vf+RcF//+1TfiP7/lpXE7TBObg7vUewkR3VVPf/M4rmmNvUkhoglDGaj9+pcmoqmwhU5CtKRoEEs9S0vXn50UCX3bS+7a1mGKIfJrcqvC1AbueeD3y3ouTrYkeDip8zHX6z3TPfm16Nm59aO3Q18Zobtr+4H3SS9Lne9J0G6rvym5CUiI3gQTqWd5Unrlguhu7SzQuyOFg8Zbtar+13M7+LVMLmHePpNFbppnutLLq9LpHiGeWGuaj1Kad1AbpF8G7bOlwkTq+tghTwVvE9WXMF1Pl8NUGnc12j8slkXqUsqnpZTPGr56B4BPSymbUsrDAA4BuFUIsRPAqJTyPimlBPBJAO9kv/lE9PmvALxZZG1XtYFgEqhZpJ71NNw92iuBRifQXm0iUDGQgudiS6mALaWEJUiZ4O5Y/X5Af1LXrUadMLgA0V2cOpGQS5hcu/2sfG6J6O3UrUa9YJCOLMsvC6SwcMWFrkOCyiTkdPe8fk0pVUy1UsnOJNbDEiaPgH5Nehf8Hekhi36kTr+h90hxdU6Eejv4Nq78mYchdS409TFH1+JKaKeTVnDpvqZ8FcBM6qYCN/x+WW3l9+v3TM1movCWSsl2uvy3Jis7q98oN4bfp5elzts5MZEsneRyjXJGdOI1efl6ecH0egq8jVnzYaXAFWWSA3SM6nToKJWylXKd1PUtg9cTy7XUs7AbwDH29/Ho2O7os3489RspZQBgDgDTszcmTJYk0D3p+7nfKdPb5GIm9FqqwpFyw0abDvD1pNxSp+xtfly/Ti+3Emny/NpUaIUnUPFn7dVeIOkrbjnw9vH+pnvz7Gc9fsbvbfJIZLWjnyuNyFRXJnj7spaI9crQljJZypbVTn5P/R2Y2knCjCsAZHGQFdZLiaFnoj7hVjERQZb7ndbp8/bQcw7qfg+C9D31OaeTei6XLOnjz5AF/vyDWOpZymE/S56f12wmSwmpUNDkZLcLexhS18eBbqXy4wR9LumKU7HY3Y/8+QdV0rLc1oMaK0sFXZc8Z3quTJYCPzWVTep6wi0vabve6BvWF0J8FcAOw1e/KKX8XNbPDMdkj+O9fmNq0wegXPjYt29fRhPWBiaXZRbJ95qIfGD1cr/3IiV+fwLtJJSPJB6/NhWpIQ3TJMDo/yy3mt4ez0uEOHfT0qYRnIhMwpEsGMdJsl8pZsuFCP1WL2TCz9PXXRMBD9JvgwoZikNywcmFXlYxFN9XSVwmAUfCPktI0Jjj7SMFyARuoZPSRdchS72XVcqvQffmQpDuPYxwzlIAss7Vx6nJw8PHK20xCphJTZ9juqVOiZ69itksl9Tp+jw0RVX1eP+YSD1r61QKhfBzTaEpTrCmMUiKH4UweMIh/w3vx17KP5Btqfez8pcL6sNWK1mGyd9T1pjtpSTzsBWQDv+sN/qSupTyLUu47nEAe9nfewCcjI7vMRznvzkuhPAAjAGYzmjTxwF8HABuueWWDEfY2sBEslnu914uMy7gepF6L/cxvz8NthwjdTpO9yFSp8FomtyAshx6uRt1dx9VXuLeh04nvclD1kQ2CXuTACcyIgFPQlnXwHULsZ81yj8PkvQyMpIuJsPb3kuJIOvY1OdB0L3dpN5OrrwAvcujcuvLcZIlkJygybrNgh5L5/1I16PqcoMIZ77Gvx8cJ8ms5u2m/3X3susm5US5Zcj7e3o6qU3P70PXpzE1yNzO+r4fqVPpWCoUxd8pkf3Cgnkb06xxrI+DLK8IeYqywju6Em2y1E3f9bPUTfJL9zytNLilbqrkmZUg2ut61J/8WTZCkhyAVXO/3w3gziij/TKohLj7pZSnAFSFELdF8fL3Avgc+837os/vBvD1KO6+oaG/WGB4UueDpNfA7uV2M7VJCGDnWAEjOT/ebpILNnIj8aVRWc+RJaB0MnDdpNY5b0tWJqlpIujuMN3dx59DCHXdZrO7/3Sh1cvjYHrGQfqaNmog7Z1nqPdKaOqlSGXF+DiGEYL8HQDp3bjoeC+ioHO5JZwVRjF5rrKuN6ilTv3Iw0/6vNOVsF6VCwm0dGx6unt+0pzU35+uGOvo9z0/r1BQY9eUpEjr/ym/Qm/boEunTEoPb2eWt8FE5KbPdF2e45KFXkbJapM69QFXDAlLIXXKReLX2AjL2YABLPVeEEK8C8D/BDAF4O+EEI9IKW+XUj4phLgLwFMAAgAflFJSBPEnAfwJgCKAL0b/AOAPAfypEOIQlIV+53LatlZYCUudu0WzXGJAb5LIuv/3X78bN23ZgRxzv3PhTNfl9+i1ZlmHnphDyUmNRnoJlb7sJIsAelnquvudzimXgfPnzUqPvrynF1nqFt0wE52WE1LIoJ/1kZWJTxZiP7dvPwWQg9yppr7mY6+XUCIFkNrei9T7WbN0717Jo/p1+Tjj96HxQtc0/Rbozibnz1Msoqu8LXkHTGOgHwn0e3/Urkole775vlriVigoa51/VygM7url80mfU1lKFfW3TuS6q53+5++in3eiF6mvlqVLinIuZ162OGw8n3sG+bGNYqkvi9SllJ8F8NmM7z4C4COG4w8CuMFwvAHgPctpz3pgGFLvFaPhBJc18AfV0PlvfU+gEP1IJ0OaSPoaYorxDSJwdTLgyUp8WUyx2N12U99lkbrJ5Ufn0O5n9DdZOdQ+3la9+h4HXX8pNZy5W5uu1UsJI5IykfogYYJeW8Ka2pa1Xp7+cYGXdQ2uBPZSUAcdN8OQOo8V62Oh3/vi4REgOZ+OVSpmNzJ31/LjvfyHvSxgDiLmet288sD3lfdp27bEC0UYhgC5+11/vizrkt71oC73QcYstXs9LHVAhTi2bk3+Nnn9BgU9A8/n0a+5ntggDoPNi0FJnc7NOq4XRlkpUtc/60Vl9MSafF4lxfRaIsVRLmcLBrqG5ynhZIKpT0yacy9Sz+WSNe1AsuMUMJz2TNfku94tFdS3g7xz/bju/TBh+/bh2mN6n9ybQIpRFvjY432tX28YRWNQYWoap5zgeV6ICUKkN96hpEC+lGx0tDupUl+KR+jV7mHc7/rafv4bUpZLpWSTlaVAV471z4Na6iYlW79PP+9EL+JeTdc19TFfVWBSSgaF7oXbSK53ALZM7HKR5QYl7S0ME228l4DnWmyv84Zxu5m0bd39rltdxWK229EEHj/nIGIyufh5G03Wuyn+Z+oT+i3F8bnlTpb6sKReLqvQwXIzWYXoTby9agOshisyS8GgPhwb673NLB/nk5PmMMYgLljCoMsz6Rx+P+7qHMRS170/ROrcQtaXbWV5dQa11Ie1pE2fyZrnq0aGRRYxcxlgwsREb9lhsuIHqeuQdb/VtNRp/OjhP/2cYa5Hz0Kx+o1ipQOW1JcNEsIcXJNttZL91XtZ8JyEswSjafOWXu3i4NnZXEvXSZ1KbC53gmW5fDlMZG0idTqeZakDipT4GmpKABx2slUq6p31szoGQa8+zHK/O87qFLEwVbsitzbdt188lIdtTNDDJL3QyxWrw/PSqwE4qZObvNf7org1/UYP75ieZ3Iye5ewfolyWdc0IcsNTomlrqvGth4GGBTUHpOi3MuA0NfK9/NAUEioF3oR92qTuin8p58zzPW4fFvNNfZLwQZqyuaEaWLwidQru5yD1/TuJewGHXy6ckDX1JNddLcrtXUl3En94r69hIr+O64gmATS+HgiVCheuhRypG1OV4LUe4EETZbyttIYGTFvITlMFnU/ohrGUu8VZtJhInVuafYjdTqHFCm+KiJLIFP9AR2DkBvdcxCQF0Hvh1wuCVkNEo7JQj9SH/S6fO7x/+nzIKFBrozpGDQJeClwHBVe0dvCPS7DkDLNBe5+30ikvoEiAZsTWRMjn0+WpAyizekbdSzXnUPCQm+rbqXoLmLKbF4JUh8b668dm9zv9B2HKcbXKz7neUtzoft+YiGtNqamuo+R23WlYdpog1vq/ZDP93Y70/WGcb/3eof9fstDBf3c3TQXaAxxUu9FNCboZNDrnoOgVw7FSnqLTEv2hul/XZHW3/Egy217KYa0tG81UCx2h5ZWwv1Oz2JJ/SID37eao1QC5ueTARAEvQfO2JgSNHqm61JhilmaSF0HxZ9Wog39XIYmoUKkYHJL6+jlBh5m2Y/+24mJ9Ut8WaqbdSkYpo8GPW9QlzqR6VKUV3JJA/1DAvSdvrkQ1btfimLRz1Lv5YHSQfdfrfHGLXX9+DDtNJ3PlalBLO1enoG1nm8rFVMHNh6pb6CmbE5kaZ/FYrIOllx+vQZOoZC2dJZrqZtiVJQc1G8A9os/rRSyrDrT84+Pd1eu6/Uc5fLSLR0qILMeWKr1uhQMa6UOcr1hSH2lPFL8fxP4uKcYNl/OOaxA73W/YcmS2rfapK6/FyLYYZ5dD+dxZG0+xOG6qx/WGhR6fwzzvmje0FjqV2J5rWEt9VUC1WcuFJTlu7CwPsKOX4eW8fS7dq8s6JVE1tppk1DU48z9hPGgCYUWK4dhY+orMc4HIVGKqZOVTgS/VDLtl/0+LKmvVLgrqz2mz8DwyWm9klWz9lHn8H2lMG8ErJSlTr+zpH4JgLKNKfFqEDIFhrN2esFk8Q1K6r3qjq8ksqqcDfL8/Qhhuf1nMTyGIfWVUl7JauoXU+fbAPPErmHJdDUs9awKfSsBPTmOY1gvhS5TNpLLeVgsl9QpyZXyNTZSX1hSXyVQSVJaxz2sW3K5MFlCg2YcrxUhDuN+17HUeKzF6mEYZXSl4siDJHzxcyihy3H6V9HLQj9LfVhlpVeRouWil6VuWubYC7oSvhLGx3qB2r0UQhYiqU7nOMkukhsFltRXEcViegOBYRKIlossS53usREwPt7dxkGF4mqXlbQYHsNa6is1zgddSsXJfamWOtA/UW5YUq9UVtd9m5WoO+gGUfw6Oqlv1jnIEwiX0/dCWEv9ksL4uNKG2+3Bk1IcZ2XiTiZLfZiCH2sB02QaVCiuhOvWYuUx6DjnGezLxSCbp9A/ctU7TlLzfRj0c7/z+w2K1VjCyEEJXTomJ5dP6psZK+E6F2LjVZSzpL6KoIQzKnwx6ItfiUQ1E+ltFs16EMLesmVzPMulhm3bBrfUV2L53iCWOiXFEdnS+atR5AfYeKEhyv43JaUOA1NMfTPPQd/vv29AP2xEUt/Er2TzIKvO92qCrBI9pr6RLHUTBnXLbmZhcjFjrd+L4wxmqdNcWG4sf5BEuI0WGiJLfaWTbzeyHBkEhULiRV0qBllSudawlvoaYKWSgoZBPt8t7C4mUrewANR4GYTUiZA6nZWpQdCP1DfSHBs0QXaQ61wsMXUg2fhpOc+wUgrTSsKS+hqASH0tXzwJulYrObZSy4hWG5bULQbFIC58Pu59P3ujlkGwGVdmrJQyr8/LzUzogBoLy42pr5TCtJKwpL5GmJxcH7KimA93P26kAajDWuoWw2DQ5FMa9667crH8LJTLG2sMr5SXsFw2L5HdrKDs/5Vwv28kmWpJfY2wVlXadPBs3c3gLrOkbrHS4EvaVuJa/QT4cjwBq4GVstRN4bzV2oRlLUBLGpc7LjZaSHODi3iLlQDt1rYZLPVcTi0FtLBYKVDG+0qO+408h3SsZi7NZuoHHVSAaLnu941G6tZSv8hBg40PvI00AHXwJUcWFiuF7dtXbtxvNCHeD6tFPBvd6zcIqNzrUrERSf0ieC0Wg4C73zfSALSwWAusFAFtNAE+CFar6NTFQOqVyvJj6httvb61iS5y6Ba6JXULi+VhsxH7auXSbCQiWyqWu3nVRWepCyF+XQjxjBDiMSHEZ4UQ4+y7DwshDgkhnhVC3M6Ov1wI8Xj03W8JobpDCJEXQvxFdPw7QogDy2mbRRqbJVHOwmIjg5ec3Sywyaeri40mU5fbnHsA3CClfCmA5wB8GACEENcBuBPA9QDuAPA7QggaVh8D8AEAV0b/7oiOvx/AjJTyJQD+O4BfXWbbLCJwC91a6hYWy8Nmmz+rReobze28HtiIfbCs5kgpvyKlDKI/vw1gT/T5HQA+LaVsSikPAzgE4FYhxE4Ao1LK+6SUEsAnAbyT/eYT0ee/AvBmsuItlg7eg0KoTTRsr1pYLA2b0VKn2vercd3N1A+rgY3o/VzJ5vxrAF+MPu8GcIx9dzw6tjv6rB9P/SZSFOYAbFnB9l2y4ANvo62htbDYbNhsRLZalvpGJLS1xkYMbfRNlBNCfBXADsNXvyil/Fx0zi8CCAB8in5mOF/2ON7rN6Y2fQDKhY99+/Zltt0iXXzGwsJi+diMlvpqLBMtlzd38ZmVwKYkdSnlW3p9L4R4H4C3AXhz5FIHlAW+l522B8DJ6Pgew3H+m+NCCA/AGIDpjDZ9HMDHAeCWW265xIdVf2w2IWRhsVGxGd3vnqe2Kl5pbLZ+WA1sxLoay81+vwPAfwLwdilljX11N4A7o4z2y6AS4u6XUp4CUBVC3BbFy98L4HPsN++LPr8bwNeZkmCxDNjJZ2GxctiMc2kztnmzYNNZ6n3w2wDyAO6Jctq+LaX8CSnlk0KIuwA8BeWW/6CUMox+85MA/gRAESoGT3H4PwTwp0KIQ1AW+p3LbJsFg3W/W1gsH5vRUrdYPeTzG89SX1ZzouVnWd99BMBHDMcfBHCD4XgDwHuW0x4LMzbisgsLi80KS+oWhI0oWzdYcywsLCw2LiyhW2x0WFK/BGCXnlhYrBwssVtsZFhRfwnAkrqFxcrBErrFRoYV9ZcArBCysFgZ2EQ5i40OS+qXAKwQsrBYOdj5ZLGRYUn9EgDtp2xhYbF85PPr3QILi2xssBV2FqsBS+gWFiuHrVvXuwUWFtmwlvolALubkoWFhcWlAUvqlwBsDNDCwsLi0oAl9UsAdjmbhYWFxaUBK+4vAVhL3cLCwuLSgE2UuwQwOrrxNh2wsLCwsFh5WFF/CSCXW+8WWFhYWFisBaz73cLCwsLC4iKBJXULCwsLC4uLBJbULSwsLCwsLhJYUrewsLCwsLhIYEndwsLCwsLiIoEldQsLCwsLi4sEltQtLCwsLCwuElhSt7CwsLCwuEhgSd3CwsLCwuIigSV1CwsLCwuLiwRCSrnebVgWhBDnABxZwUtuBXB+Ba+32WH7Iw3bH2nY/kjD9kcatj/SWKn+2C+lnDJ9selJfaUhhHhQSnnLerdjo8D2Rxq2P9Kw/ZGG7Y80bH+ksRb9Yd3vFhYWFhYWFwksqVtYWFhYWFwksKTejY+vdwM2GGx/pGH7Iw3bH2nY/kjD9kcaq94fNqZuYWFhYWFxkcBa6hYWFhYWFhcJLKkzCCHuEEI8K4Q4JIT40Hq3Zz0ghHhRCPG4EOIRIcSD0bFJIcQ9QoiD0f8T693O1YIQ4o+EEGeFEE+wY5nPL4T4cDRenhVC3L4+rV49ZPTHrwghTkRj5BEhxPez7y7a/hBC7BVC/L0Q4mkhxJNCiJ+Jjl+S46NHf1yq46MghLhfCPFo1B//NTq+tuNDSmn/qRCEC+B5AJcDyAF4FMB1692udeiHFwFs1Y79GoAPRZ8/BOBX17udq/j8rwPwMgBP9Ht+ANdF4yQP4LJo/Ljr/Qxr0B+/AuDnDede1P0BYCeAl0WfRwA8Fz3zJTk+evTHpTo+BIBK9NkH8B0At631+LCWeoJbARySUr4gpWwB+DSAd6xzmzYK3gHgE9HnTwB45/o1ZXUhpfwmgGntcNbzvwPAp6WUTSnlYQCHoMbRRYOM/sjCRd0fUspTUsrvRp+rAJ4GsBuX6Pjo0R9ZuNj7Q0opF6I//eifxBqPD0vqCXYDOMb+Po7eA/RihQTwFSHEQ0KID0THtkspTwFqIgPYtm6tWx9kPf+lPGZ+SgjxWOSeJ3fiJdMfQogDAL4Hyhq75MeH1h/AJTo+hBCuEOIRAGcB3COlXPPxYUk9gTAcuxSXBrxGSvkyAP8MwAeFEK9b7wZtYFyqY+ZjAK4AcDOAUwB+Izp+SfSHEKIC4K8B/KyUcr7XqYZjl0J/XLLjQ0oZSilvBrAHwK1CiBt6nL4q/WFJPcFxAHvZ33sAnFyntqwbpJQno//PAvgslDvojBBiJwBE/59dvxauC7Ke/5IcM1LKM5Hw6gD4fSQuw4u+P4QQPhSBfUpK+Zno8CU7Pkz9cSmPD4KUchbANwDcgTUeH5bUEzwA4EohxGVCiByAOwHcvc5tWlMIIcpCiBH6DOCtAJ6A6of3Rae9D8Dn1qeF64as578bwJ1CiLwQ4jIAVwK4fx3at6YgARXhXVBjBLjI+0MIIQD8IYCnpZS/yb66JMdHVn9cwuNjSggxHn0uAngLgGewxuPDW+4FLhZIKQMhxE8B+DJUJvwfSSmfXOdmrTW2A/ismqvwAPy5lPJLQogHANwlhHg/gKMA3rOObVxVCCH+N4A3ANgqhDgO4JcBfBSG55dSPimEuAvAUwACAB+UUobr0vBVQkZ/vEEIcTOUq/BFAP8WuCT64zUAfgzA41HcFAD+My7d8ZHVHz9yiY6PnQA+IYRwoQzmu6SUnxdC3Ic1HB+2opyFhYWFhcVFAut+t7CwsLCwuEhgSd3CwsLCwuIigSV1CwsLCwuLiwSW1C0sLCwsLC4SWFK3sLCwsLC4SGBJ3cLCwsLC4iKBJXULCwsLC4uLBJbULSwsLCwsLhL8v0ZirMiabgMIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "mean_regret = np.mean(regret, axis=0)\n",
    "std_regret = np.std(regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean_regret)), mean_regret)\n",
    "plt.fill_between(range(len(mean_regret)), (mean_regret-std_regret), (mean_regret+std_regret), color='b', alpha=.1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "cumulative_regret = np.cumsum(regret, axis=1)\n",
    "cum_reg_mean = np.mean(cumulative_regret, axis=0)\n",
    "cum_reg_std = np.std(cumulative_regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(cum_reg_mean)), cum_reg_mean)\n",
    "plt.fill_between(range(len(cum_reg_mean)), (cum_reg_mean-cum_reg_std), (cum_reg_mean+cum_reg_std), color='b', alpha=.1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "th_rews = list(rew_per_arm.values())\n",
    "th_rews.sort()\n",
    "delta_arms = (th_rews[-1] - th_rews[-2]) / today_customer\n",
    "seen = np.array(ts5_learner.history_interactions)\n",
    "theoretical_regret = 1024 * np.log(seen)/delta_arms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(len(cum_reg_mean)), cum_reg_mean)\n",
    "plt.fill_between(range(len(cum_reg_mean)), (cum_reg_mean-cum_reg_std), (cum_reg_mean+cum_reg_std), color='b', alpha=.1)\n",
    "plt.plot(range(len(theoretical_regret)), theoretical_regret)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "vscode": {
   "interpreter": {
    "hash": "88111df7ceb694484cfc97bdede811386554c3a33448f1f5a98428024008916c"
   }
  }
 },
 "nbformat": 4,
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