{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "from astropy.io import ascii"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Decision Trees (DTs) are a non-parametric supervised learning method used for classification and regression. The goal is to create a model that predicts the value of a target variable by learning simple decision rules inferred from the data features. A tree can be seen as a piecewise constant approximation.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import tree\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# height in cm, hair length in cm\n",
    "data=ascii.read('height_hair.csv',format='csv')\n",
    "\n",
    "man=(data['gender'] == 'Man')\n",
    "woman=(data['gender'] == 'Woman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data['height'][man],data['hair'][man])\n",
    "plt.scatter(data['height'][woman],data['hair'][woman]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=np.vstack((data['height'], data['hair'])).T\n",
    "Y=data['gender']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X,\n",
    "                                                    Y,\n",
    "                                                    test_size=0.40,\n",
    "                                                    random_state=5)\n",
    "algorithm = tree.DecisionTreeClassifier()\n",
    "model = algorithm.fit(X, Y)\n",
    "\n",
    "x1=[] ; y1=[] ; x2=[] ; y2=[]\n",
    "for z in X:\n",
    "    prediction = model.predict([z])\n",
    "    if prediction == 'Man':\n",
    "        x1.append(z[0])\n",
    "        y1.append(z[1])\n",
    "    else:\n",
    "        x2.append(z[0])\n",
    "        y2.append(z[1])\n",
    "        \n",
    "plt.scatter(x1,y1)\n",
    "plt.scatter(x2,y2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n=12\n",
    "a=np.arange(0,n)\n",
    "x,y=np.meshgrid(a*70/n,a*(210-110)/n+110)\n",
    "ind=np.dstack((y,x))\n",
    "\n",
    "x=[] ; y=[] ; c=[]\n",
    "for r in ind:\n",
    "    for z in r:\n",
    "        prediction = model.predict([z])\n",
    "        x.append(z[0])\n",
    "        y.append(z[1])\n",
    "        c.append(prediction)\n",
    "\n",
    "for col, row, t in zip(x, y, c):\n",
    "    plt.text(col, row, t[0], fontsize=8, color=\"red\")\n",
    "plt.xlim(100, 210)\n",
    "plt.ylim(-5,70);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=np.vstack((data['height'],data['hair'])).T\n",
    "new=np.array([[150,35]])\n",
    "X=np.append(X,new,axis=0)\n",
    "Y=data['gender']\n",
    "Y=np.append(data['gender'],'Man')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1=[] ; y1=[] ; x2=[] ; y2=[]\n",
    "for z in zip(X,Y):\n",
    "    if z[1] == 'Man':\n",
    "        x1.append(z[0][0])\n",
    "        y1.append(z[0][1])\n",
    "    else:\n",
    "        x2.append(z[0][0])\n",
    "        y2.append(z[0][1])\n",
    "        \n",
    "plt.scatter(x1,y1)\n",
    "plt.scatter(x2,y2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X,\n",
    "                                                    Y,\n",
    "                                                    test_size=0.40,\n",
    "                                                    random_state=5)\n",
    "algorithm = tree.DecisionTreeClassifier()\n",
    "model = algorithm.fit(X, Y)\n",
    "\n",
    "x1=[] ; y1=[] ; x2=[] ; y2=[]\n",
    "for z in X:\n",
    "    prediction = model.predict([z])\n",
    "    if prediction == 'Man':\n",
    "        x1.append(z[0])\n",
    "        y1.append(z[1])\n",
    "    else:\n",
    "        x2.append(z[0])\n",
    "        y2.append(z[1])\n",
    "        \n",
    "plt.scatter(x1,y1)\n",
    "plt.scatter(x2,y2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(14, 14, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n=14\n",
    "a=np.arange(0,n)\n",
    "x,y=np.meshgrid(a*70/n,a*(210-110)/n+110)\n",
    "ind=np.dstack((y,x))\n",
    "print(ind.shape)\n",
    "\n",
    "x=[] ; y=[] ; c=[]\n",
    "for r in ind:\n",
    "    for z in r:\n",
    "        prediction = model.predict([z])\n",
    "        x.append(z[0])\n",
    "        y.append(z[1])\n",
    "        c.append(prediction)\n",
    "\n",
    "for col, row, t in zip(x, y, c):\n",
    "    plt.text(col, row, t[0], fontsize=8, color=\"red\")\n",
    "plt.xlim(100, 210)\n",
    "plt.ylim(-5,70);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "coord=[(165,68),(165,33),(145,33),(145,68)]\n",
    "plt.plot(*zip(*coord),color='b')\n",
    "\n",
    "coord=[(173.5,68),(173.5,33),(205,33)]\n",
    "plt.plot(*zip(*coord),color='b')\n",
    "\n",
    "coord=[(145,-10),(145,27),(205,27)]\n",
    "plt.plot(*zip(*coord),color='b')\n",
    "\n",
    "x1=[] ; y1=[] ; x2=[] ; y2=[]\n",
    "for z in X:\n",
    "    prediction = model.predict([z])\n",
    "    if prediction == 'Man':\n",
    "        x1.append(z[0])\n",
    "        y1.append(z[1])\n",
    "    else:\n",
    "        x2.append(z[0])\n",
    "        y2.append(z[1])\n",
    "        \n",
    "plt.scatter(x1,y1)\n",
    "plt.scatter(x2,y2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Decision Trees usually implement exactly the human thinking ability while making a decision, so it is easy to understand.\n",
    "\n",
    "The logic behind the decision tree can be easily understood because it shows a flow chart type structure /tree-like structure which makes it easy to visualize and extract information out of the background process.\n",
    "\n",
    "The decision tree is like a tree with nodes. The branches depend on a number of factors. It splits data into branches like these till it achieves a threshold value. A decision tree consists of the root nodes, children nodes, and leaf nodes.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "Kyphosis is an abnormally excessive convex curvature of the spine. The kyphosis data frame has 81 rows and 4 columns. representing data on children who have had corrective spinal surgery. Dataset contains 3 inputs and 1 output\n",
    "\n",
    "INPUTS:\n",
    "\n",
    "-- Age: in months\n",
    "\n",
    "-- Number: the number of vertebrae involved\n",
    "\n",
    "-- Start: the number of the first (topmost) vertebra operated on.\n",
    "\n",
    "OUTPUTS:\n",
    "\n",
    "Kyphosis: a factor with levels absent present indicating if a kyphosis (a type of deformation) was present after the operation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 81 entries, 0 to 80\n",
      "Data columns (total 4 columns):\n",
      " #   Column    Non-Null Count  Dtype \n",
      "---  ------    --------------  ----- \n",
      " 0   Kyphosis  81 non-null     object\n",
      " 1   Age       81 non-null     int64 \n",
      " 2   Number    81 non-null     int64 \n",
      " 3   Start     81 non-null     int64 \n",
      "dtypes: int64(3), object(1)\n",
      "memory usage: 2.7+ KB\n"
     ]
    }
   ],
   "source": [
    "# https://www.analyticsvidhya.com/blog/2021/04/beginners-guide-to-decision-tree-classification-using-python/\n",
    "# https://www.kaggle.com/code/data855/kyphosis-disease-classification\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "raw_data = pd.read_csv('kyphosis.csv')\n",
    "raw_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 724.808x600 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(raw_data, hue = 'Kyphosis');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              precision    recall  f1-score   support\n",
      "\n",
      "      absent       0.74      0.78      0.76        18\n",
      "     present       0.33      0.29      0.31         7\n",
      "\n",
      "    accuracy                           0.64        25\n",
      "   macro avg       0.54      0.53      0.53        25\n",
      "weighted avg       0.62      0.64      0.63        25\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "x = raw_data.drop('Kyphosis', axis = 1)\n",
    "y = raw_data['Kyphosis']\n",
    "x_training_data, x_test_data, y_training_data, y_test_data = train_test_split(x, y, test_size = 0.3)\n",
    "\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "model = DecisionTreeClassifier()\n",
    "model.fit(x_training_data, y_training_data)\n",
    "predictions = model.predict(x_test_data)\n",
    "\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.metrics import confusion_matrix\n",
    "print(classification_report(y_test_data, predictions))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Precision measures the proportion of true positives over the total number of predicted positives, while recall measures the proportion of true positives over the total number of actual positives. These metrics are useful in scenarios where one class is more important than the other, or when there is a trade-off between false positives and false negatives.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CGoCkFPGatTE4AOSczhqApBRxg5mwBiApRbxmbQwOADmnswYgKUXsrIU1AEkpF/CatTE4AOSczhqApBiDA0DOFTGsjcEBIOd01gAkpYiPGxXWACSliE8wMwYHgJzTWQOQlCJuMBPWACSliGFtDA4AOaezBiApdoMDQM7ZDQ4AZE5nDUBSunOD2T333BNvv/12jBgxIsaOHRs9e/bs0DrCGoCkdMc163K5HOeff34ceeSRcdlll3V6PWNwAMjYjTfeGBs2bIiJEydmsp6wBiAppShn9mrPxo0b4/rrr4/6+vq4+OKLY9y4cbF8+fJO1WwMDkBSOnPN+pmWJdG0fmnb8S6NjdHQ0LDlzzzzTNTU1ERDQ0P0798/Lrnkkjj55JNjyZIl0bt37w6dV1gDQIW+0ndEfKXviLbjTwd1RMTatWtjwIAB0b9//4iI+MEPfhCNjY2xePHiGDlyZIfOK6wBSEpXbzDbd99945133mk7Hjx4cPTo0SN22223Dq/pmjUASSll+GrP6NGjY+jQodHU1BQREcuXL4+jjjoqhg0b1uGaddYAkKEePXrE3Llz49prr42lS5fG4sWLY/bs2Z1aU1gDkJTueNzofvvtFzNmzMhsPWENQFK2dstVnrlmDQA5p7MGICnF66uFNQCJ6c4v8siKMTgA5JzOGoCkFHGDmbAGICnFi2pjcADIPZ01AEkp4gYzYQ1AUop4zdoYHAByTmcNQFKK11cLawASU8Rr1sbgAJBzOmsAklIu4CBcWAOQFGNwACBzOmsAklLE+6yFNQBJKV5UG4Mn48BRI+Lulfe1vU6e8PVqlwRVN2TIoHj04Xvjvb+8Egv++Hgc/x/GVLskaJfOOhFfOe2EmH3tjLbjZ+6bX71iICf++Y4bY97/eSrunT0nLr5oYvx67v+MI/7d38Zrr62qdml0IWNwcmng/oPivbf+Ek/e/Ui1S4HcOOSQ4XHjTT+Lf/3t0xER8cQT82P5K03xtb//27j1truqXB1dqYi7wYV1Ak6e8PUY843j46CjD45H73ggXpq/sNolQdW98sqKePnlpW3H7777l1iyZFls2vRxFauC9rlmnYD/95tn439P+ZfYqc9OcfEvroy//94/VLskqLrW1tbPvLfHHnvEI4/Oq0I1dKdyhv90F511Al6avzBemr8wnrz7kfiHS74Vp148Lv7t8f8bb694s9qlQW4ce8xRMffXj8aaNW9VuxS6WBHH4DrrxDww7ZexZtnqGD76kGqXArnRq1evGDfu1Pjx1TdVuxRoVyaddWtra+y0007tfvZyy7JY1PJq2/HBfQ+IQ/oemMVp6aClf3gpdurd/p8XpKjh4onx335ya3z8sevVKUj22eD3339/fOtb32r3s0P6Hiicc6bfXl+M3/3SdTmIiBj/7TPi8Sfmxxtv/PWyUO/evWPz5s1RKhVxWEolivgnW9EY/KCDDoqePXu2++rRo0eceeaZXV0nHVS7d//4z1ePj9q9+0dExJGnjIk3l612vRoi4rsTz4mhQ/eNui8NiJP+7vg49dSx8T/++aYol4vXebFjq6iznjx5ctTV1cXw4cOjpqZmi89KpVI88MADXVIcnVfa/EkcdNTBcczpJ8Sql1+L382aFw/fPqfaZUHVnXvOuLjt1ikREXHFP/2Xtvdvve0uYb2DKxXwz7emXMF/lZs3b46Wlpaora1t9/P3338/+vXr1+5n4+tP61yFsIP6lzebql0C5M7mj9d0+Tn+cd//lNlaM1d1T/NT0Ri8V69eWw3qiNhqUAMAnec+awCS4tngAJBzRbx1y0NRACDndNYAJKWI91kLawCSUsRr1sbgAJBzOmsAklLEDWbCGoCkFPGatTE4AOSczhqApBTx2e/CGoCk2A0OAGROZw1AUoq4wUxYA5CUIt66ZQwOADmnswYgKUXcYCasAUhKEW/dMgYHgJzTWQOQFLvBASDn7AYHADKnswYgKUXcDa6zBiAp5XI5s9fnWbduXQwaNChWrlzZqZqFNQB0kalTp8abb77Z6XWENQBJKUU5s9e2PPTQQ3HcccdlUrOwBiAp5Qz/2Zrm5uZYsGBBnHzyyZnUbIMZAFRo9frX440PXm87bmxsjIaGhs/83E033RSTJ0/O7LzCGoCklDrxuNFBuw+OQbsPbjtuL6jnzp0bJ554YnzhC1/o8Hk+zRgcgKSUM3y1584774wzzzwz6urqoq6uLiIijjzyyHjsscc6XLPOGgAy9PDDD29xXFNTEwsWLIj6+voOrymsAUhKER+KIqwBSEp3h3UWX8npmjUA5JzOGoCkZNHpdjdhDUBSinjN2hgcAHJOZw1AUrb1mNC8EtYAJKWI16yNwQEg53TWACSliBvMhDUASTEGBwAyp7MGICnG4ACQc0W8dcsYHAByTmcNQFJKBdxgJqwBSIoxOACQOZ01AEkxBgeAnDMGBwAyp7MGICnG4ACQc8bgAEDmdNYAJMUYHAByzhgcAMiczhqApJTLpWqXsN2ENQBJKeL3WRuDA0DO6awBSErZbnAAyDdjcAAgczprAJJiDA4AOVfEJ5gZgwNAzumsAUhKER83KqwBSEoRr1kbgwNAzumsAUhKEe+zFtYAJMUYHADInM4agKQU8T5rYQ1AUozBAYDM6awBSIrd4ACQc8bgAEDmdNYAJMVucADIuSJ+kYcxOADknM4agKQYgwNAztkNDgBkTmcNQFKKuMFMWAOQFGNwcu/llmXVLgFyp/TJB9UugR3MzJkzY8iQIdG/f/+47LLLolQqdWo9YZ2YRS2vVrsEyJ1ySVinpFwuZ/Zqz4oVK2LlypWxdOnSePDBB+PnP/953HXXXZ2q2RgcgKR09RC8XC7HVVddFRERY8aMibPOOisWLlzYqTV11gCQoQMOOGCL4w8++CCOOeaYTq1ZUy7ilXY6rLGxMRoaGqpdBuSK/y+oVGNjYzQ2NrYdNzQ0bPO/nZaWlvjmN78Zjz76aPTo0fH+WFgDQBe5+uqr4+yzz46hQ4d2ah1hDQBdYPbs2VFfXx+jR4/u9FquWQNAxu6777740pe+1BbUjz32WGzYsKHD6+msASBDM2bMiAkTJkTPnj0jIuKTTz6J448/Pp588skOrymsE7F27dqYMmVK7L333vHee+/FddddF716uXOPtLW2tsbMmTPjhhtuiGXLPDCI/DIGT8S4ceNi/Pjxcfnll8fgwYPj+uuvr3ZJUHUtLS1RV1cXy5cvr3YpsE066wS88MILcdJJJ8Xbb78dERHLli2L0aNHx7vvvtupWwlgR/CnP/0phg4dWsjnRZMOf1MnoKmpKQYOHNh2vM8++0Rzc3OsWLGiilVBPtTU1FS7BPhcwjoBzc3NUVtb23bcu3fviIhYv359tUoCYDsI6wQMGDAgNm7c2Hb84YcfRkRsEeAA5JewTsCoUaNi9erVbcerVq2Kurq62HfffatYFQCVEtYJOPzww6O+vj5efvnliIh46qmn4vvf/75rdRBhYxmFIKwTMXPmzLjlllti+vTpsXbt2pg8eXK1S4KqW7duXcyZMyciImbNmhWbNm2qckXQPrduAUDO6awBIOeENQDknLAGgJwT1gCQc8IaAHJOWANAzglrAMg5YQ0AOSesASDn/j8GhfXHOrIETwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = confusion_matrix(y_test_data, predictions)\n",
    "sns.heatmap(cm, annot = True)"
   ]
  },
  {
   "attachments": {
    "52063cb5-a5f2-4302-a5b3-f8a3b190aa04.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Screen Shot 2024-05-16 at 7.00.21 PM.png](attachment:52063cb5-a5f2-4302-a5b3-f8a3b190aa04.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Advantages of the Decision Tree:\n",
    "\n",
    "-- It is simple to implement and it follows a flow chart type structure that resembles human-like decision making.\n",
    "\n",
    "-- It proves to be very useful for decision-related problems.\n",
    "\n",
    "-- It helps to find all of the possible outcomes for a given problem.\n",
    "\n",
    "-- There is very little need for data cleaning in decision trees compared to other Machine Learning algorithms.\n",
    "\n",
    "-- Handles both numerical as well as categorical values\n",
    "\n",
    "Disadvantages of the Decision Tree:\n",
    "\n",
    "-- Too many layers of decision tree make it extremely complex sometimes.\n",
    "\n",
    "-- It may result in overfitting ( which can be resolved using the Random Forest algorithm)\n",
    "\n",
    "-- For the more number of the class labels, the computational complexity of the decision tree increases."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "Random forest is a supervised learning algorithm. The “forest” it builds is an ensemble of decision trees, usually trained with the bagging method. The general idea of the bagging method is that a combination of learning models increases the overall result.\n",
    "\n",
    "If you input a training dataset with features and labels into a decision tree, it will formulate some set of rules, which will be used to make the predictions.\n",
    "\n",
    "For example, to predict whether a person will click on an online advertisement, you might collect the ads the person clicked on in the past and some features that describe their decision. If you put the features and labels into a decision tree, it will generate some rules that help predict whether the advertisement will be clicked or not. In comparison, the random forest algorithm randomly selects observations and features to build several decision trees and then averages the results.\n",
    "\n",
    "Another difference is “deep” decision trees might suffer from overfitting. Most of the time, random forest prevents this by creating random subsets of the features and building smaller trees using those subsets. Afterwards, it combines the subtrees. It’s important to note this doesn’t work every time and it also makes the computation slower, depending on how many trees the random forest builds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "RandomForest = RandomForestClassifier(n_estimators=150)\n",
    "RandomForest.fit(x_training_data, y_training_data)\n",
    "\n",
    "#predicting on test data\n",
    "y_predict_test = RandomForest.predict(x_test_data)\n",
    "\n",
    "#creating confusion matrix for test prediction\n",
    "cm2 = confusion_matrix(y_test_data, y_predict_test)\n",
    "sns.heatmap(cm2, annot=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The primary objective of the support vector machine (SVM)  algorithm is to identify a hyperplane that distinguishably segregates the data points of different classes. The hyperplane is localized in such a manner that the largest margin separates the classes under consideration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#https://www.kaggle.com/code/prashant111/svm-classifier-tutorial\n",
    "\n",
    "from sklearn import svm\n",
    "\n",
    "svm_clf = svm.SVC(kernel='linear')  # Linear Kernel\n",
    "# train the model\n",
    "svm_clf.fit(x_training_data, y_training_data)\n",
    "# make predictions\n",
    "svm_clf_pred = svm_clf.predict(x_test_data)\n",
    "\n",
    "cm = confusion_matrix(y_test_data, svm_clf_pred)\n",
    "sns.heatmap(cm, annot=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dataset(X, y, axes):\n",
    "    plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
    "    plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
    "    plt.axis(axes)\n",
    "    plt.grid(True, which='both')\n",
    "    plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "    plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0);\n",
    "\n",
    "def plot_predictions(clf, axes):\n",
    "    x0s = np.linspace(axes[0], axes[1], 100)\n",
    "    x1s = np.linspace(axes[2], axes[3], 100)\n",
    "    x0, x1 = np.meshgrid(x0s, x1s)\n",
    "    X = np.c_[x0.ravel(), x1.ravel()]\n",
    "    y_pred = clf.predict(X).reshape(x0.shape)\n",
    "    y_decision = clf.decision_function(X).reshape(x0.shape)\n",
    "    plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n",
    "    plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# https://compphysics.github.io/ComputationalPhysics2/doc/LectureNotes/_build/html/supportvectormachines.html\n",
    "\n",
    "from __future__ import division, print_function, unicode_literals\n",
    "\n",
    "import numpy as np\n",
    "np.random.seed(42)\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.labelsize'] = 14\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "\n",
    "from sklearn.svm import SVC\n",
    "from sklearn import datasets\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.svm import LinearSVC\n",
    "\n",
    "from sklearn.datasets import make_moons\n",
    "X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n",
    "X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "polynomial_svm_clf = Pipeline([\n",
    "        (\"poly_features\", PolynomialFeatures(degree=3)),\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\", random_state=42))\n",
    "    ])\n",
    "\n",
    "polynomial_svm_clf.fit(X, y)\n",
    "plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 880x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "\n",
    "poly_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"poly\", degree=3, coef0=1, C=5))\n",
    "    ])\n",
    "poly_kernel_svm_clf.fit(X, y)\n",
    "\n",
    "poly100_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"poly\", degree=10, coef0=100, C=5))\n",
    "    ])\n",
    "poly100_kernel_svm_clf.fit(X, y)\n",
    "plt.figure(figsize=(11, 4))\n",
    "plt.subplot(121)\n",
    "plot_predictions(poly_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "plt.title(r\"$d=3, r=1, C=5$\", fontsize=18)\n",
    "plt.subplot(122)\n",
    "plot_predictions(poly100_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "plt.title(r\"$d=10, r=100, C=5$\", fontsize=18);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 880x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def gaussian_rbf(x, landmark, gamma):\n",
    "    return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n",
    "\n",
    "gamma = 0.3\n",
    "x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n",
    "x2s = gaussian_rbf(x1s, -2, gamma)\n",
    "x3s = gaussian_rbf(x1s, 1, gamma)\n",
    "XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n",
    "yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
    "\n",
    "plt.figure(figsize=(11, 4))\n",
    "plt.subplot(121)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n",
    "plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\")\n",
    "plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\")\n",
    "plt.plot(x1s, x2s, \"g--\")\n",
    "plt.plot(x1s, x3s, \"b:\")\n",
    "plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n",
    "plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "plt.ylabel(r\"Similarity\", fontsize=14)\n",
    "plt.annotate(r'$\\mathbf{x}$',\n",
    "             xy=(X1D[3, 0], 0),\n",
    "             xytext=(-0.5, 0.20),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=18,\n",
    "            )\n",
    "\n",
    "plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n",
    "plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n",
    "plt.axis([-4.5, 4.5, -0.1, 1.1])\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.axvline(x=0, color='k')\n",
    "plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\")\n",
    "plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\")\n",
    "plt.xlabel(r\"$x_2$\", fontsize=20)\n",
    "plt.ylabel(r\"$x_3$  \", fontsize=20, rotation=0)\n",
    "plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n",
    "             xy=(XK[3, 0], XK[3, 1]),\n",
    "             xytext=(0.65, 0.50),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=18,\n",
    "            )\n",
    "plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n",
    "plt.axis([-0.1, 1.1, -0.1, 1.1])\n",
    "plt.subplots_adjust(right=1);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Phi(-1.0, -2) = [0.74081822]\n",
      "Phi(-1.0, 1) = [0.30119421]\n"
     ]
    },
    {
     "data": {
      "image/png": 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QIUQ5wG6M8YEcBPlDTydAP7CwH3MyZ/H4/f7tyLKK1UI0K+gRst9cKxwHiygHFtrz2dR4iVrCHhLKIiKhGJbRPxCO5paIBR9PYt0TfPeZa8ntYKau8SCj9UIxhMWbZ+gYCWUJOui3Y0K8IWM6xgJBbuEq+oEINLaoFnw8iXVPkFAWbgjVb662MJhEOXDBnlOWMSBRLXFr2EE85iIyO2uXugmKQ4g+C/YwFoBZvxFRPh8yPoMLoUPWhLxe5OAdFwIyxrjBd78Fq5fcldlZO0x1rYiY6kdn7ATUkEeKRJt5xO86RJiLyPJlm6RuguLgs89CxVsOACuXbWS0XjDd9P3hL4Zy7bKLxGwOQUDEmEfCdIyxIVgFOc3qZRdL3QRFwle/hYIgp6lpG4EFH6F1/Syi0kuQppD4coCEsohKc8sxqZugOPjus1DwlgP+i5+EWlx5mNHg93Wtt4IUBGUh1uRuPgsMeSoEFIyQAkPcCLTf3LOtBLMoN+pMsOx4B3Xj/8bcRZHQXLJFNplYbONGRusRj7mIWK2TUjdBcfDVZ6HkLQcAq3XK63ehFMLCJtOAxUefEZSBmBmXfI0xpgS7h9wdMsa4wbXfQslD7kpKegQiIuKg2rhBdp5ySpvsdx0izEUkFDOMZGXOsVruDh99JlRWBjnjLWMEEeXeIVlZlI3YD9+BZmVR4ljMyZwFsDCblmO5f2oqVvHcotCAbb+FqiCnoSxjqC3I8HClSodt3AgqRQuY/TsbiTAXkZ7eNiQmpEjdDFFhkhLRF3z1WSiJcgDo7tUhMUE7b5kShQBXuOTk7extR1KCf28GQX5I8fDtaYwxQcnjkElKRF909Z5FEoc+C3WY9JurGAdCU5ADQPjEEACgY8qCHInbQsM0hIWGCHMRGWP54xAC77NQKCbkiVG3flOyGGAL10IZpnH/s+UJ8kOqN2LuY8wfoRa24olRMsY44avfQt077pH4OIya5SPMATi85QwhwlxEykqWS90ExRFIn4VaXLkrS0qWOf9PRDkzKkuW8t0cgsBIGabmOsb8EUpj0BcVJTVSN0GRuPYb8Yx7Z2TXXkT3H0TD5kEkpGbIIr6crbccIFlZRGXENCh1ExQH1z4LxbhyV4wmx+u8UBEEdNaBQDIODJsM/lciyAapxzg9xnzhXhwo1GHSZ4T5hBkNGOlq85hZhYhyB3QmloiZXTDcbIHmki2IjquQullO2HjLAeIxF5VhYz8A4jVng78+e/xp1YIqorMzc8hKj8CTPwtdj7nBOIASYyGA0BDlQOCeoyHjOQDEa64kpHzwNhgHsAS1Hr8jYSueGTKegy+59NDTCR6riOZkzgYc3y5n3L3grqi0Goy0mYkI94NWMwFLQRqmq8qRlliC00cPSW7OnRM+WUKEuYjk5y2RugmKw1+f9Q+Eo7nF3ZBHIDIqTLhGKYDFmmwAwS8K+BLlAFCcVxrwPgjiIIe5IwV55R6Xh8pbKi4U5ZX5/F4/EIHGFpWHb9gnEfAlduWILxtGbBNDEtXO/xaX5knYkMAgwlxEbDar1E1QHKTP2GM3jsE2Mx30woBPUQ4A07ZpXvZDEBa5zB3xZJuIKPeNtzHmFNEz8QA8CPOZGdZCO5g8zMQ2ecewuxHq9p1oru1FWH4l8s7HlU9PS5sskau3HCDCXFT6BzpRmF8pdTMUBekzdtDCYNgyACA4J1rxLchpege6UZLv26NHkBap48pd6RvoQlG+IzCDCHLf0GO2r60BJfGexYpKq0FYlOffNSwqIqiENluIbVqIUWeC+theRCbVwXSpFeqNV82b7NnbPYCSsnxJ2sZlwqcrRJiLSFZmgdRNUBykz5jjKg5yMvOlbYxACCXKASA3U7mvPkMJOYhyAMg+P8aIKHfgL04aAApKy0NaYHOF2CbPpKRHoDXPitzVN4BKTJz3XW5epjSNOg9XbzlAhLmoqFShbbi54K/PZmfmAMjjRi0l7uIgWhUtZXN4R4xcvcHWZ8GGHOLKXVGpYkJWlHsT4f7GJhlj3CD95hsqI3HBsuhoT3MVhCdQbzlAhLmodHWfQU5WkdTNUBTe+ox+pZ2/OBKRUfYF3zMtER0MeBIH7d2tyM0KjrcNQnrJXTnb3YbFWfmCHoPADbnEldPYjWM4e/oEMldcHhKi3JMQ5zIe/Y2x3Ew7gIWx+47loQuxTZ6hLN4z9Zxt68bi/CwRW3OBQLzlABHmopKileYiUTKe+sw1zvTR+6fEbpJs8OWtS9NmiN0cQRBLlAPB02fBhmXECrU6Sjbecnrc5eYvDlpRLlQRG39j7Kn7SXVsTxDb5B17sue3CWkZgYljLvDhLQeIMBeV5KR0qZugONz7jK/JX48+rfaaL1cJYt/fK3RtUpqYzeEdMQU5TUpSqmjHIrBDbqJcrY2Bdk7ZY8wVsapJCjXGfvK0Fr0DC+VMbqY9KMQ+sU3zoTOxnChuhzrdcy2BlNQkkVvlIFBvOUCEuai06k4iLTVb6mYIiqeCPwCQlTmHh+5nn76I7jO+szHoByLQ1KLMy59JXGuzrh7pqcp8QyOFKAeAJl0DMlKlnTBEkC/u407JYwxgJsb5FrxCjbHegUg0tHiyh8GRbpfYJgd0JhZr+AlM1hqhvf76eZlYXGlq0CEjU5kPNJIrk5mZGbz66qv45S9/iba2No/rTE5O4uGHH0ZWVhb0ej0ee+wxxMXFidzSwEnQiP9qRWw8F/zhToJGK6sUaVLCpppgoiZZ6ObwjhgTPH2RJKM+M+xuBABEWIyYtMkrvtoXQtjzxOSFD/pi4+lhWOljDPA/zvgWvHIaY0qC9JuDuR494uIGMLJJg8X51yzIxOJKUrK495BA8pa7I7kwHx8fR0ZGBnQ6ndd1tm3bhhtuuAHXXXcdPvjgA2zbtg0vv/yyeI3kicW5pHoXG6aMFqTGLQZARDnb7A/5ucVCNod3pPKSu1KQK/3EbNojNDOzD7YKC6ABxqOVU8U2GO25t7GnpDEm9UMvjRzGmBIh/XYBTWYsgAmPmVhcKSjKFaU9QiC5K0Kr1aK83HNpYwAYGRnBq6++iq985SsAgE2bNuH111/H8PCwWE3kjdPNh6VugmKgveQ9A8eJKOeQkq2++ZhQzeGVMKNBFqIcAOqaj0t6fMPuRsTseR6DJZ+AuiED+Xf8APl3/ACF1/ynpO1iQ7DZc19jT+5jjB5bYUYDVFqN8yMlUo8xpUL67QLUlJnRenXHmwVuyQX4mvRJI7nHHADCwrx7hI4ePYq4uDjExsYCANRqNTQaDerq6pzGXSnExCySugmyxz1sJSZGLWVzJIVN6Io7sQroN7kIchqp+syoM2HR/vegSjwNw82xUFdd5TVuUgkEiz3390As1zEmF++4J+TaZ3KH9Nt87Fr//RGrFjdjEl9hLIBMhLkvRkZGkJw8P75KpVLBbPb+1PTtu2phn50BKOBrN/0A5aUrYLVOoqpiLXp62zA2bkRZyXKMmAYxbOxHft4S2GxW9A90IiuzACpVDLq6zyBFm4XkpHS06k4iQaPF4txSnG4+jJiYRagoX4WTp/YiIiISNdUbcLr5MGw2K2qqN+BsRwMmJsZQUb4a5wa7YRodQlFhNaKjY7H/0C7k5jhuur16HdLTFiMuLgHtHY1ISkxDRnoemluOIi4uAcWFS1HfuB8qVQyqKtaivnE/ZmftWL5sE5pbjsninCYmxjA41OM8J7O5G0ABgEQA9QDSAeRj3HwQdQ2xXs9pyeI1aDl7AtbpKaxfsw71p3UYHTciP7cUZ9rqYDAOoCCvHDabFX0DXcjOzIdKFYPO7hakajOhTUrDGd0pJGq0yMstQUPzEcTEqFFVvhLHT32JiIhI1FavR0PzEdhs00hPuQyTuacxOzeK2Ng1mJnpgt0+BG1iJf7fz8agH9AjWuUIPZq2tSEqajFyMuJxzeXHkZyYisz0xTjdchzxcQkoKaxGXeMBqFTRWFqxBnWNBzE7a8fKZRtxuuU4rNYpLK1Yg+5exzktKVkGo2nI5zklR8YjOSEVncMtSNQkIz+yGPXNxxAbo0Z1+QocPbUPERGRWFG9Dqeaj8Jmm8aK6nVo7WiCeWIMxflL0HjmBIyjBpQWVsI8MYaBIT3ychyvRLv17chMy0F8XALaOpqgTUxFZnouGltOID4uAWWFlTjReAgqVTSWVazGicZDmJ21Y/Wyi9HYcgIW6xRqKlahq/csRsdHUFFSA6NpCEPGcyjKK8O0bRr6gS7kZOYjWhWN9u5WpGkzHL/TyX1IjE9EaeVS1DUfR2yMGjXltTh86gAiIiKxqnoN6pqPY9o2jZXVa9DS0QzzxDhqymvRN6iHcXQYZYVLYJ4YR/9QH/JzCgEAXfoOZKVlIz5Og9aOM9AmpiA7PQf1LXWIj9OgvLACxxuPIFoVjdqKlTjWeASzs3asXXYR6lvqMDpugmlsBJ297TCNj6CyZCmGTQYMGc+hOK8U07Zp9A50IzczD9GqaJztbkOaNgMpSalo0jUgSZOMgtwiv+dUMBKPs0OdmDIPoCK9CMbOPWgvGUDJxhpokmrQcXQI+YWOm0pXhx6JSfF8mVPJ4WLPv37XGthnZ0BRFG69aRuWlNZyGlNs7ETd4c9hm5nG+vWX4HjDSZgnxlBdvgIDg73OMRUTHYu9hz6SxZhq1tUjCeHIzypAfdspxKdqUVNei/2HPgloTI2ZjwIogbs9HzN/iaMNc37HlMU6hdqKlc4xVZhbjNNtDbyPqYyUqzCR24zZuVGoY1fDNtN93p5X4J6fjaF3oG+ePVdFLUZORhxuuPwgazvhfk5C2QnX36kkvwz1Z04KZvukOCcu9lw93IOPxs/CkBKDpLQJHD/SiOhoFWpXVuDY4UbMzs5i7UXLUF/XgtGRcZhGxtDZ3gvTyDgql5Zg2GDC0DkjikvzMD1tQ2/3AHLzMhEdrcLZtm6kZWiRkpqEpgYdkpI1KCjKRd3xZsSqY1BTW47DB04hIiICq9ZWo+54M6anbaipyEZrazfGEYHqFeUY6B2E0TCK0spCmMcmMKAfQl5RjsNGtOuRwMCeh1EURTG2qgLR1dWFgoICeGrKp59+ijvuuAP9/f3OZUlJSXjnnXewadOmeeuOj48jISEB/36zH4sWyctTAAD7D+3ChnXXSt0M3nHNxKLvC4NtxuExU6ko5GQ5flNfWVl8Te788tAH2LjuaiGa7ZXv/CjeY8aWynI7Xvo9s9dogcBHNcG9hz7CpnVX8tUk3pCbl9yVzw99gkvXXS7Y/g27GxHTuwdzCT1Qn8+92501gUitBuqqVV695BPmSaytuhljY2PQaOTXb+7wbc8/e7NLVHvOdPzJZYzxPaZcM7H09EVh+rw9j1ZRWJw1A4B7Vhahx5gnbv1RuscJrEvLrdjx+0FR28IVKfpNjozs2ouirLM4tcaKvJItPtf9/JNDuPTydYK3ie2kzwnzJC4p9W3PZe8xX7ZsGcbGxmC1WhETE4OxsTFMTk5i+fLlUjeNNRERsu9uTnjLxFKYP4fnfu999j6TbCtK6rNAc6PzWd5bbv0mZ0FOI1SfuU7onKy0IKqsANPn47A1gKLDVtgid3vOZgxKPcaEGlPeMrGU5AcuZKXuMzbIKTe6kvpNKAy7G6HuP4hjZYOIgn+bGRGh3Llpsvi13T0rdrsdH3zwAbZu3YrU1FTceOON+Oyzz3Dttddi3759uP322xXhOXKnpnqD4MfgO484k/13dLGbQ+xJkHsTtRmpl+Gi1RwaKgGB5EbnU5QDwIpq4T0FTJBzvKs7q6rX8L5PuhBGV3E74hdrod6o7PhxJijVnrMdg2KMsYeeTlhoF2dmkJNuw69/FnifeRKfui6VIPsFgMzUq3DJ6umA9y8GcsqNLoRtUhKWHe9gZmYfDLUWRFVU+vWWA8CqtdWCt4vPFImuSC7MR0dH8fbbbwMAduzYgZtuugn9/f245557sHbtWqSlpeEPf/gDfvrTn6K9vR19fX149tlnJW41N043H8bqFZcJegy+84jzuX9akAMLveTeRO3ExBEA3G6ASqjuybcgpznVfBTrV2zmdZ9sUYKX3JW65uO4aMUlnLc36kyY69E7/47vOYGZ8AYMbJ6FuqIWOQxuJkpHqfacyzgUY4zpByLQ2OIulFUIi4oAMB7w/r2LT2H2a544BmApp33KyYMtNoHaJiVj2N2IjLgBGCsiWTk26o4346JLVgjcOmGQXJgnJibi3nvvxb333utcVlBQsCAG8YUXXpCiebxiswVHFTK2+BLk/pijuPeZnKt7BpJxhQk2m3ReKaUJcprpAPrMY/z4Bkf8uMZH/HiwoWR7znYcSjnGlEog9lxOHmyxCcQ2BQPxCXaEpaWwsqPT04FHCPiC7xSJrshTtQQpYoSycEWIEBi9PgxTRktAecgXqTdy3pYrOZmzrJazRSgvuStShLIoKWzFEys5vC52jR+f3hCJ2CW1MKU6Zt2HWvy4UrEbxziNRVHG2MwMAPahJUJ4l3v6ozht50qc+mIA4orM3Ew7PIl3x3JlwMU2BRtMUiS6snKN8KEsQoSxAESYi8rZjgbULhVfaDJBiBCYsLDAK3ZarfUAxJ0YJlSYi9BecldaO5qwcul6QY/hilK95K60dDRj9VLmYss1flyzsgw5a7cK2DqCELiOSbYIPcYcY4pbqkxBvMs85G+zWBsAlAW+IxYEQ5gLW9tEAFqaO7B6HbewKakhwlxEJia43wT8QXu82U7EFJKc7LmA9zE7Nxp4Q0TCl6ddDC+5K2YBrzVXgkGQ05gnvMfsGnWmeX8v2v8eZsIbYLo0EtqN1xPPuAIJdEwKNcbCjAY8+FwO+kZKcLYv8ImYfLE4eybgfSjJnsvJ0+7LNgU7ERYjp+dT8/gE/405j5BhLAAR5qJSUS5cehFvHu+YGAqF+XPIygxcJANYsJ/ZmTl06yNgnQ7sgcCbqE1NXhnQfoXi0afVOHw8ypmznUalorB2xYzT6y62IKepLhd20ovSw1Y8UVNe63G5Zcc7UNl6kai+MFeidUM/oipKGGUHIMiXQMalEGOMHld9I7EePd6xMXMoybfxJg49iU9dlwoWa2D23JuoTU2W52S8nzytxYHjsc6c7TTRKgoXrbBI7nX3ZptChbB4Ndi+7ampLRemMecRKowFIMJcVM4NdkObnC7qMf3lEmfLQ/fbMGW04NfPxaF/MAKRUWE+S3AzxVv4yOkzrQBWcdqnkLHi+oEIjJkX3rws1jDoByJEDVvxxMBgL1KS03jfbzAKcpq+Qf28PqMndOoX1yN+sRbjaSnOOEdN6hbiJVcwXOPKXeFzjDEdVyX5Nl6L4tCC01tMeqD7daf+TAO4hiYK6cHuHYjEqHmhY8tiBa/9whV32xQqGHUmLDJ0YTBrAEASq2379INISUv2v6IMkf6KCyFMo0NSN4EzrplVAGBoJBKt7cJfPiOjBv8reUGylIgzjhuFFIKcxhhAv3kjmMJWPGEcHXb+n86bO1lpgaasDNkkfjxoCCSu3BW+xpgcxpVQaRPdcR1jbJHaay0lgfSbUqHn8Og3D3J6O2kcHhWkXUKHsQBEmItKUaHws4Td6egKx3d/5DC4vjKseAt1SU+eYVShkyY2hkJhvsMjzYdnuqSwKuB9iE14VLikohwASgsreduXHISDkNDx42lh2c6bQU8IFQQKRfgYn3yMMbZjS9elwq0/crx19ZVhhS/vMh06w2VbT5QVLgl4H6FIqPWbYXcjMib3ofvSUWg2cns7WbakUICWORAyjAUgwlxUJibGAHEjWWC1hjHKtuIq2BfmHWeeWaUwfxYv/d7Mqo2++PWfpjE+sXDmh5yKBImNx2qAcPTJ4/c7vIHmiTEgPTeg4wRz2ApwIdUhHT9uNA5DlUFhYPNMyBQECjX4CGGhCXSMcXngtVjDXTzb3kMU+fIu8x0689ifwjE+sfAmGApFgrzBJLWleWJcdO0gNZrMWNa5y11xTP5UZqcRYS4ig0M9KCkSJn2Pq8e7oyscVivzuG/3MJVAUxzyiX5Aj94+4SbNKhHP1QAB4MLD1cCQHmVF3N42BLsgBy7Ej3e5xI+fbJnBuouKoUldTLzkQQhfISw0fIwxb+PL1ePNx2RMudA70IfuPk8pJoO/SJA3mKS27B/qQ3kRf29BlQA1ZWadu9yV/r4hlFcW8dgiccJYACLMRSU3R7ibvavH+7s/ivHrJZezGHclWlUqdRMWYDeOITs5Cvq4WNjsC7Oy8FWIKBDyctgbpFAQ5K4FgSYrLUhbfym0JY7JaKtTepFXHNhbBoK84TPEjMsYA5h5yl29x7f+KF2U+G8xkKM9BxwPQj19sx6zssihEFF+jnBhGcFKfmGOIPsVOowFIMI8pJidmfMQpsINoatjis2jT6tx+EQUbDY3oR1FYe1KR/pDV4/bL382AUC4PKliEgqCHFhYECifTOgMGfj2lnNFrvM15JSzmw9+8rQWB07EYtrNnkdHUbho5cL0h6EaRkOQJ0SYi0ivXoe8XHGrnrkSGRXGm2dcrPjuaVsbAOEngOoHIjA27iX9YQ8lWT5yrnTr21GQ6/sNTTALctozbrf1ItzmeIBSpY7AcHMstFWeCwJ1dehRSDzmQQvfY5fJGHNFrqIcEE+YOux5jeDH6R2IxOi4fNMfsqVL34HC3GKpmyEaXIsKuaJke668K1TBpKctFmzfrrnFBwbDEBM958wvroqikJM9J7o3+9Gn1V4nKTIV9lFR3PuMj+PTKEWQ02Sm+X6NJ2eRECiG3Y2wGv4Jc4kRUWUFACLPxypqkO9jQmdWdujlCQ4F+Jzw6Yq/MeYKl/FGTwrs6Y9CbMyFOUTRURQWZ8+I7s1mMknRH6oA7Dkfx1cqWWnZUjdBdLgUFXKFb3tuGzeKEsYCBKkwt4xYEWaNcv6t1sZK2JoLxMUl8LYv9xhxwHtucb4zpTBFPxCBppbALrGcjHjExiy8ATF5yODj+IAj/aGccJz7wrSXrn0S7+VaC2ZBbtSZoDrwCoYX1yN+pRbxSzY448eZEK+JE7B1hGDD2xhzh+uY8zYpsCTfymumlEDbw0Y85WTEITaGW8gMH8eXI0zCiOLjgs9eC42S7XlQCvPE5HAsWuTwlJqMswtErFRCvb2jEZnpeay28STAAXbx4R1dEXj0abUi0wtec/lxbFxHPJmu0CkRfdHW0YQsl1RuwSzIAcC6/WVMhzfAXGmBej23VIetZzqQnavM9FoEzwjlLQcWjjFPCDHudF0q/ORprSK9xDdcfhCXrlOuYBICJr9ja8cZZAeY/lYphI0OQs2x2qcrSrbnQSnMXXEXsJ6EOo3Qgj0pcaHA9NYW5zY8xITTZeKVSHJiqt91KIrCM90P4Id5TzrDd9hgN44BM7GQ63BgkrfcHe35fgtGQW7Y3Yi4wbMAgLDpMczO9KOnuB2xy7KgrtrEOdWhNiWRx1YSgh2tH9sk1NizWMMVGScNANrEFL/rUBSFp7p/gZ/kPczJnssdLiE5TPotGKAn6LfX9kCTnwp1KvfQJyXbc2WO7gDwJnR9CXa+SFCleTyGXFMVyoHMdP8D82Pjm9hpeBVL4pbjypRbGO/bNVPD4sUU9IZZj1lZ3MNmuAjlQGCSt9ydLJUaYUZDUAlyekKnNfwEJkuMiExyzA6yJ0dDnV7LumSzO9k5yvSuEDwjpLccADJ9eDCD8YGYD7LT/cfl7zK+i7cM/0Rl3FJsTbmB03FyM+3o6Z/1mJXFPWxG7Nh1LiE5TPpN6dBzgyZrjUhYXyUrey5mfDkQgsLcG2KI44bWOhQVXSP4cYKJ0y3Hccl6731GURR2DPwJlrlJ7Bj4E67Q3uzfyzJjX5BlhY2g5iKUxYIWBGcGddhSFDy5b11THcYv1iL/uh/wfoz6uhZsucJT8RMCYSGNLSewef1VXr8nonwh9S112LL+Cq/fUxSFvw+8CMvcFP4+8CKu1X6Vk9ecjaBWQuy6v34LFtKL1DCvX8JqbpA3lGzPiTAXEaaThbiSkzmLjq4IWFhU/RQSPnKd++uzj41votfqCGvotZ7Fx8Y3nV7zBceZcXhKstPtnD1pDz2dgLNd8hs27h66YJksZNSZsGj/e5gJb4Chll38OEVReOrIX/CTNf/N6Oau5MlChPkI7S0H/E+wDpTcTDt0XXOyqfrJR65zf3Zpl/FddFk7AABd1g7sMr7r9JoLkWv9J09roevy5GSRF8Fiz/0RNjXp9btQsufyUxhBTElhtaD7f/T+KXznR/xkIuEDPiab+uoz2ltunXOEB1nnLPO85vTxXUNWAr1Z6wciRLlRuobL+HoQ8PbKvLywQrjGCYh7/HjMTD86z8eP52+4i9W+drXvwVu6j1GZUoqtxZf6Xb+8InjeMBCEp6xwYYl0PkNYnrrfiFt/5M2bKz58hHX4sku0t9w65xDf1jnrPK+5UGElYthz13AZLg8CSrXnXJhN9ZzAPJTsuTwexUOEusYDgh8jJ3MWleX2BR+lVuT01Weu3nIa2mtuN445P2ptjPOjFOhwmcYWlfcbx8wMVFqNRxFwvPGIwC3kF6POBMuOdzAc9gyMqw/BuPoQzl3fDsPNFmi/dT3yN9zKan8UReHvTW/BYrfi701vgaIov9scP9LItfkEGSFWlc8TjYc8LuczhCU3046l5dYFH6VW5PRll1y95TS011zp0OEyDS0xnB4ElGbP+UZKey52fDlAPOaiolJFC34MJaZE9IWvPqs3H0ZRbAWAC6+1KLsdpwxf4rK0yxUlxJkSGz2L4hwrwqIikJvp3ThFi3Ct8YVhdyNm9NthrrBAU1aG7LVbA97nrvY96BrvAwB0jfdhV/sev16W6Gj5v9ImMEOMse9um4SYbC3XlIiub7ZcCZv2/VAUdu4srC3985ZR0Y6QoGMpb6A42jFhb26RBpExkQAo1JmPc54EKndiY+ZQku+Ym+TrYUtJ9lwIQs2eE2EuIksr1kjdBMXhq89+UvBb5//5DFfhQmyMOJVVSwpmsOP3w37Xq61YKXhbAoWOHx/O24f4i7RQb7yKc6pDV2jvitU+DQCw2qfx96a3cG3RZp+xibUrQ+d1cbAilrccAJZVrHb+n6+4crlDZ0aamdmHwQqLMzMSjT3Zt4DMsNpxLqZ93rLIEcc4vRs5AHJgN5mRejIXU0VbkbpF2PBPb8TGzInyVqIk38aoWJQS7HmgRFiMgIcollC050SYi0hd40FctPpyqZuhKHz1mdRi3JXifLsgqRK5cqzxCC5Z7T8OTyzoGzpwwas2Hd4A04ZZqCu4FQTyhqt3hYaJl+XY4UZcsmW11+8JykAsW3Ci8RAuXn2Z8+9gzMJCe8bpMRsz0+/MjMTlQfqL3UdxyQbfY2xoVAdT0n6Ye55B/PaLAVzwqk+kF4si1kvybbJ6WyE3ey4UVPzCsRuK9pwIcxGZnVVmXKCUeOozKQW5wyu+MC0in97yMKMBmIkHwP1VnJyuNcPuRsT07kHX4nrEL3bE6jk8a4ugqVrFi5fclbqhJpQmFXhc7suQz84qcx4GQRroMRaM3nLXbEi0Z5z2hqvTuT9IMxljaYklwHUl6NbtxrlBh3c9cmQadpMZquZ9sOy4GFOrNkFbwr0qJI0QmV6EQE72XGyktOe2cWkezogwF5GVyzZK3QTF4dpncvCQC+kVd73BL15MISyK+w1j7bKLeGsXV1xfe09W8hc/7o+H13+f03ZrL1rGb0MChL4p2CaCa96IUIgZxgIAq5dd7Px/MHnLR3btRUz/QXQWt0N9RS3yeXybxWaM5ZVsAVye2YdGdZgqOoauU7uweM8ZjLSuR/K1mwJqj1he8UAfAORgz6VCansu9sRPgAhzUTndchyrazdJ3QxF0XD0C6ys2gBA+nAVoXAV5PQNPtAbRn1LHdbVbghoH4FA39y7zqc6VFdt4t0zzjf1dS1Yt6FWsuN78s5QKVpQ0cF53QuBmDaiseUE1i5eEjSi3FTXithTh2ANb8D4zYugrbqe9zEbyBhLSywBNpSgO303BnJ1UB98H9btXbAsW4ek2jJe28k3SrfnSkRqex4IRJiLiNVKPF9Mob1flumpoBTknsQ4n1hEvNaMOhPmevQAHBN41IYuWMMbMLLZET8eaGllsbBMiVvpz5sQJygDMceYEBh2O9LJRVgc12F0/0HoNw8iqqKEVy+5K3yMsbySLRhKXYwp7TG0tR9G0bF+jPQF7j2XM0q/1nxBh01NxrVgPD8Kap72K7Y95xMizEWEZGXxjadQldVrgusVntCCnEasWfx0/HhMwfnMAvFAd9kEIrUaFLPMPS41Qs/iJ0JcOMQOYwGAZZmFivSWG3UmqA68AlVCD9TJ0UC8Y9Jd/3obNFVbBH2zxdcYm+c9T9Qh+tRHUCvEe86FYM3KQt8/OvPqz79Z5W/OEcnKQmBEd68OiQnkRuyK+w3V3Tve1XsWSUHQZ2IJcprO3nYkJSQLtn/ay6FKPI2xDeGwbLzwmlUDyD5sxROd7b1ISvZcZp0LRIiLi9hv1rr6O5GenyfqMQPFsuMdTIWfgLnSiKiyAkyXlzu/yxdhzPI9xkLFey60PZcCo86EuMGziKicEGT+UaDXmhSFhWgkF+ZDQ0N48sknkZWVBZPJhMceewyRkQubdd999+E3v/kNAOCb3/wmduzYIXZTA2ZUohm+coTpRM7R8RExmiMYvgS5a5lmV3Iz7QHHJJoE7Dc6fvxcbS/C1lcqJlTFH6aR8YC2J0I8dOx5mNGACUxL3QzGOD2T5a1ITlmE+CUboC1ZLno7Ah1jnpCL91yp9lxKUtIjMJWehBgBnFVCXGtiIbkw//rXv45nn30WS5cuxXPPPYfHH38cjz766Lx1DAYDtFotDAaHyImP95CFXgEsKVkmdRMkhUtWlYqSGuf/KYrCb7sfxr15vwAA5/99FRmQCiYecrpM80ICj42rLFka8D6AhXGoakMX9FWHoVmfCnUVPwWB5ELlUvbn4i7GQ02IuxNK9pyvMSY0tGcysmAQ2oo8UTIjecN1jFEUhaeO/AU/WfPfAOD8P1d77sjisgVd2h2SeM+VYM9lidkMx3tWfuFiz+WCpMK8vr4eZ86cwdKljovusssuw7p16/Dwww8jPDzcud5vf/tbdHd34/Dhw7j22mulam7AGE1DSEvNlroZouIvVMUfRtMQ0lOzAAAfGt/Gu4YdqIhbBgDO/1+dchMvbQ0UscNVfDFsMiAjNZPz9q6pDlPzY51xqD1lw0ioqAoaL7krwwYTMjJTfa5DhLh3pLLnduOYqGEs9DgPdIyJiVYzAUtKAqJcQlekwHWM7Wrfg7d0H6MypRQAnP/3V2rdH/kbbsVQlQ4DibudmVsmN1zPS95zqVDStcaF2VT+H86Z2HO5IqkwP3ToEDIzL1xsOTk5GBkZQXt7O0pKLjztZGRkoLe3F1/72tdw+eWX44033kBUVJQUTXby6NNq6AciFizPyZzFo/d7nkFtMA5gCZSZvocNgYpxV4aM51ABh3fllYHnYZmbwiv9z4MC5fj/wPO4SnujpF5zOQlymiHjOQDMvSy0Z5xG3b7TWeHPtPHCpGWlxo8zYeic0WOXETHODCXb84eeTvBqzz3VLlBpNRhqYzfGpCKstR4DM/UwZcbylvGCK/QYo8usW+xW/P30Ww57brcyKrXOhLTEEqRdX4Luit3o/HgfFu/ph6FnqyhVQ4WArT0neLfnTJCqsBCNpMJ8ZGQEyckXJjSoVI5Kh2azed56P/zhDwEAXV1d2LJlC/7whz/g3nvvFa2dntAPRKCphV33FeQ5vBVcRL0SEKIAUFGeI0bwQ+Pb6LF2AAA6rTpQFAUA6LF24EPj25J4zeUoyGmK80oZrUd7xq3hJ5CRSTmXd2+egLqCe4U/JVJc6pjIR4Q4N5RuzxtbPFXaXVjll4YeY0LGFgeCUWdCzJ7nMeisJcB/lV220GPMtcx6+1gPaMvDpNQ6G+jJoYb3PoSqeTuvVUPFhKk9J1yAvta4IqXdl1SYp6amwmKxOP+enJwEgHnG3ZX8/Hz8+te/xssvv+zTkH/9rjWwz86AoijcetM2LCmthdU6haUVa9Ddq8PouBFLSpbBaBqCwTiAgrxy2GxW9A10ITszHypVDDq7W5CqzYQ2KQ1ndKeQqNEiL7cEDc1HEBOjxuzcZgBfwNGFlwA4AMCK2dmLcLLhEMwTY6gqX4mBwR6MjBpQUlgFXXsjOrtb0N5Vg7OdkQBaAeQBSARQjymLFsaRFJxuOY74uASUFFajrvEAVKpoLK1Yg7rGg5idtWPlso043XKc93OqKl+J46e+REREJGqr16Oh+QhstmnUVl8EXUejx3Ma7evDuWE9FmcWISZRhW59OzLTchBvT0BbRxO0ianITM9FY8sJxMcloKywEicaD0GlisayitU40XgIs7N2rF52MRrOHMfrvX/DI5f8Dl36doyOj0AdG4dx8xier3sKVo0FsAMzJhuQ5Oh6q8GCFw2/w/JVa3FG14BETTLyc4tR33wMsTFqVJevwNFT+xAREYkV1etwqvkobLZprKheh9aOJpgnxlBdvgIDg70wjhpQWlgJ88QYBob0yMspAoAL5xSXAF39ISQnJCMrJRtnBnWIj9OgvLAC+w99gmhVNGorVuJY4xHMztqxdtlFqG+pg8U6hdqKlejsbYdpfASVJUsxbDJgzGwFUAtHDGI7gCIAMRgz1+F0WwxSklLRpGtAkiYZBblFqGs+jtgYNWrKa3H41AFERERiVfUa1DUfx7RtGiur16CloxnmiXHEL9LANDYC4+gwygqXwDwxjv6hPuTnFAIAuvQdiO2yQDvSgH9HHkPWimJYykpxum8YcfGxKC6rRnvLFPT9J1C7sgLHDjdidnYWay9ahvq6FlimrKhdWYHO9l6YRsZRubQEwwYThs4ZUVyah+lpG3q7B5Cbl4noaBXOtnUjLUOLlNQkNDXokJSsQUFRLuqONyNWHYOa2nIcPnAKERERWLW2GnXHmzE9bcPKNdVoae6AeXwCNbXl6NMPwjg8irIlhTCPT6C/bwj5hTmOc+rQIys7DfGaOLSe6YA2JRHZOemor2tBvCYO5RWFOH6kEdHRqgXndGL/UXR09OHKq9ejq7MfplmgoqYExiETho63oajMcU76rgHk5DvOqb3VcU7atCQ01+uQmKxBfnEu6o85zql6RTmO7juFiMgIrFhXjVNHm2GbtmHFumq0NnXAPDaB6hXlGOgdhNEwitLKQpjHJjCgH0JekeOcutv1SEhSRgy2FPa8o6kOo2YTapevhNE0hCHjORTllWHaNg39QBdyMvMRrYpGe3cr0rQZ0CaloVlXv8BOzM5dBmAfFtrzdTjecPCCndA1YHzOgrLCJWhpb8bZ7jboulajrTMa7vZ80pKI4RE16lvqnHbieOMR1nZiyHgOxXmlmLZNo3egG7mZeYhWReNsdxvStBke7UT4wZPITejHsRg9IhLycE3tDag73ozT04dEG1OnTp7Ba6few2O3/ghdHXqYRsahXhSL8TEz/vT+P2CNnT5vz+0u9nwaL4zuwMqbqtHcyJedCEd/5irExukwfPhDtH8+jCXh6xEfp0FrxxloE1OQnZ4T8O8ktT3PSsvm/Zy4XHtMzyk3uhDG/k70DXdCW5GKkb5w3q69+roWtOt6cM31mzjdo+oPn0RCfrZk9jyMol2PElBfX49rr70Wvb29AICGhgZcccUV6O/v9/oqq7GxEX/84x/x17/+dcF34+PjSEhIwGdvdmHRImE9mN/5UbxHj3lluR0v/d7sYQvgy0MfYOO6qxltK2evuhCecQD4YPgtPNl5Px4oeNrpAd976CNMlUziic77YJ2zeNwuJjwWDxb8WlCvuRDecSE9bZ8f+gSXrrvc43d0qsOR8AbYKiyIXy9NhgapcfeM7znehk1XrpOoNd6ZME/iktKbMTY2Bo1GXm9mXJHCnvMVX/4fP0r26DGvLrfh5d9fyIgRZjQ4xz89xm79UbrHSX9Ly63Y8XtHfn+xvOp09hX94nrEL9ZCtXGDZF7ynWc/xy8O/REPr/u+0wP++SeHMFlowc8P/QFWu+esNjGR0Xhk3Q9485rTDI3qkP5pC4ydqwWZECqVPVcqRp0Jua27YKkdw+Cqxbxfp59/cgiXXs7NnguZKpGJPZfUY15TU4P8/HycPn0aVVVV+PLLL/G9730Ps7Oz+OCDD7B161ZYrVacPn0aq1atAgC8++67ePDBB6VsNmeyM/MZr+stVKajKwLf+ZFDsIsp0oUS4zTzYshd4sZzMvPxL/N2FMcuQRjC0DfdDcvcFIAwxIbHIjs6DxQonDIfFUSYCxmuIuRr7tzMC6/xjDqT8/9hrfWI6T+IzuJ2qK+oFazCnxzxF6KSkx+8k6vEINjtuastAOaPMX94y9ih65rDrT+KPL+/wASca/YVTS3/eaHZMC+G3CVuPDcvE/83tBOlSQUAAL15AJbzAj02MgY58RkAgLqhJt6FOQB0ZpqReuAgRnaBd3Eulj0nMCM3T7n2XPJ0ia+++iqeeOIJVFZWwmg04pFHHkFPTw/uuecerF27FmazGTfddBPKysqwfv16fOMb30BenjIvUpUqcEFrsYaxjm3nAp8TOJngGkPuGjcerYrGA1lPCXpsd+QcO86UaFW0s8JfePowwl1KOhtujoW26nrJ403FgE28eHS0pxhjAhuC3Z672oNoVXTA+7NYw10Ee+Bp9VLSIzAlg+wrrjHkrnHj0dEqPLz++5K0KS2xBENVwIDRka3FssOkmHhzPq61UIOrPZd64ifAUpibTCb8/Oc/h91ux9mzZ/G1r30Nt956K+677z5QFAWTyYQHH3wQFRXMS6Hm5eUteI1ZUFCA/v5+AEBaWhp6enrYNFMUcjJnWS0HgM7uFuRmFQrVpIARW4zT0N5yOlTFOmdxes3bu1uRm1UgSjuCQZDTnNj5KdbEnIG50oKosgJElV8o6SxGhT8p4Tp5s721G7kFWUI0SZYQe34Bh91eONHTlz0/292GxVn5wjWKA5RlYQYZ0dtw3ltOh6pY7dNOr/nZtm4szpdujLlma7H96wDUxwAj5C/O5XityZ1ArjWpJ/wzFuY2mw3f/e538dvf/hZZWVno7u5GQUEB3nvvPTzzzDPQ6XS45pprkJSUhD/96U9CtlkWcAkhSdU6Xq1wEfVCIZUYd8XVW05De83ztUWCHtv99bTSBTmdiSEqvg5zqwug3hhcRYC8wUcmlbSM0Mm+Egz23N12BYKnlIj+SNM6wi5yM+3w5O12LBeP8Ikhx38SpU2K6Ootp6G95gUZORK1aj6xqYuRWDqF2M4JKCEPGn2tBRPO61UglGzPGQvzF154Ad/97neRleV4AomJiQFFUcjPz0dBQQFaWlpQUlKCb37zmwCAgYEB/OEPf8Dc3BxOnDiBK6+8Evfee68sqzSKhTYpDQA3Uc8nchDjrpwyH3XGkNPQceMrkoSZjBcM3nHX2PHwiSHEnjqE6fAGmDbPIjN1OXLWf1W6xokA32kNtWny9prxSbDYc7Fsl+ukT5qUJEfxEilTIrpC9Q3AGm5CZ6wBaiyWrB11Q03OGHL35asK5JNHvDPTjKImCnM9ekDmHnP6WgsmhL5eU1Ll/Zv6grEw12q1uPjii51/Hz9+HABw5ZVXAgCuuuoqXHXVVQAcr7IefPBB/OlPf4JarcbIyAiWLFkCm82GBx54gM/2K4ozulOMK3+6es87uiJgsXK/AcpNiLvzQIH3GPI9Bz90Vv7kg2AQ5MCF7AuJ6guZauqqOqEpSoWmahW6jxh8bO2Zn/x/S9HbvdDblps3haeebQiovXzhKsb5ft3YXK9DepY0N0CKovDbg3/Bveu5lyRnA7HngdOka2BcjdHVq67rUsFiDfe9AQvoLEv6qsMYL0qVPF+5rxjy3R8flEU1xrTEEnSn96C1Vgf1QfnnN2dzrdHIOb+++theWGf2oW39LKLSSwS5XpsadJJda4Hac8bC/Lbbbpv39549exAZGYkNGzYsWPfs2bM4cuQIWltbUVtbi+TkZFxxxRV47rnnQsKQe0t1uCg2C5esZ7gPF6+6r9SJnvD0ilduYpwpiRrPOZDZECxiHLhg1GZm9mGy0oLxsgLYtQ4xnYAq5J3PspKU7DkVmS96u9VoqEvks7m8IKQYdzWgicnSXRsf6vbg3ZaPUZFaiqtL+c9G4Q6x58x56OkE6HviERY13wYvis3HFob23FUI+RJMbKFF+bmqI0hYf2H8y5UkCceYO3klW4CSLdCHbYetUd7x5kkc7oPeMgHxMcmYK05RnlSHuZJIFF93F6/7pygKTx35C36y5r85XWt8TfwM1J5zTu/x+eefY/ny5YiPX5gsXaVSYXBwEG1tbaitdZSgT0lJgdEoj1d+QuMt1WFZMfNJVK4wCX2Ru1ecK/m5xZy3DSZBDgAju/Yipv8gus5X8svfsNCo0V5vu70EkZEXRKycvN5MEFKMu+JqQNcVrxDsOL6gKAqvNDhSy73S8BauKgm8JDlbiD33jr5nDo3tixYsryiuAMB+XhDf3srk1AicK0qRvSgHgIKiXKmbsADVxg1InG6B+lwE5DYtmX6Is9vXIjIyxblcaq93IKSkR2AqIw5zS8p43/eu9j14S/cxKlNKsaGImz0P9H7Dhz3nJMxHRkZQX1+PH//4x/OWv/TSS/jOd76DvLw8DA8Pz/vuxIkTuOSSS7gcLmiYshwEsJmXfQWrEHenvvkYNq27kvH6ShHj/l4z/uhn8egzOFJkhc3NIGzSDHvYWqQV5OHRRxu9vvq74PX+AsD1wp2AAIglxp3HcDOgsYtisPkqzy5QIUNNPtTtQc+YY7Jcz1gfPtTtEcVrTqNEe87nxE+uTFoOAVgtaRvCWusxPdWPsPR0SdvBlLrjzZyLvghNIBlt/NlzrmElF7zeJzDfnkvn9eaL2VR+Kxq7585Xx8RgyxXe7TntWZejPWckzA0GA6655hp85StfwRNPPIGPP/4Yc3NzWL169bx1Dh48iO985zsLtj969CiOHTuGEydOsGpcsBEevtDrwpRQEeLuxMYwyzCgFEFO4+s1o2F3Iwbal6DZ5JqRJhEAoFqcjrREJkaZ+7UmJmKLcVfcDehpWws2w7MhFyrUhH44cE0tJ7TXPFjsudQ2MBB7Hih0SEBE7AG0XxYLdeoSydrChli1TO9bAWay8Rc2EnhYiTLsuZS4585vsLZgixd77upZ57OQFV/2nNEMlC+++ALHjh1DVFQULBYL/vnPfyIrKwsTExMAgMnJSfzgBz/Ao48+umDbqakpfO9738Mbb7yBJUuUYTyEIjZ2DaP17MaxBR+1NmbeJ1SoLvf+OirMaHB+VFqN86Nk5oYMGA57BvaEQFNnruWlPUJgGzc6P4BDkIstyj0Z0P3UMVAU5XVd2rPuaR2uuD4c0NBeFqEg9pwf1LHSeMsNuxuhOvAK+mr3YWJLGvI33KqYlKg1tdIWPvJGZ+yg481Da73UTfGCfO25HPCUO39fmHd77upZl6M9Z+Qxv/LKK/Ff//VfGBoawn//93/jl7/8JcbHx/HAAw/giy++gM1mw09/+lMsXjw/5Q1FUbjnnnvwy1/+EpdddhmrhgUjk5Ofw1MoSzBN1uSbo6f2zQtlCZa843aLZ+E9o56A+opaqD5LA7oCOcJusA1lyc3zPJfB23I28J3aMFA8GdDuOj0+XLXwtaOQoSanzjWhOLkArr4U6vxyocJZiD3nh4nJPZAqlGVxZTzGszOQvXarJMfnyuEDp2QXyjI/Q4tcK4JysOcyya/vDmUZ4z3Xvqfc+Z2n9Ni1fM8Cj7i3qrS2cWPA9yW+7DkjYR4XF4eXXnppwfLdu3f73O6xxx7D7bff7jTiL774Iu66i99ZuHLEW7aU6Khwr7GRRIh7JiLCcYkqLVTFF4bdjQibqIKn15PhyYk8TeJiP32E78mhchPjrtAGdNQ6hr7xc8jWZCBCE7HAgAodavLARvHLkxN7zpwwowE56dELMrIAgCoqdGtycCUiYmE/yoG8ki0YSl0MW9h+mWZo4WDPFTo5lAt07nyTdQx68znkxDvsed1Q0zxh7qsqLR/wZc85Z2Xxx9///neMjIzAbrfjo48+AgCcOnVKqMPJCjqLirsIn7I6XjcSEe4fiqLw29b78N2sbU5RrnRB7prq0B77uMd1oiJiAzoG7d2ena1BRMToguVCI2cx7soDG78PiqJw61vbQIGCOioWL/2/X2NR3HxPjq9Xk2JO0JSaULbnv/7ZOIDxBcunLNyybPEBNWWW7NhcoCfbfX/N7VI3xStpiSUY2ghZZWihvd6zc2sQEW51W06geXi9w57f8r7Dni+KisXfty20576q0l6RViNmk30iiDBva2vD3XffDZvNhmeffda5/Fvf+pYQh5McXxkCXEX4qROHsH4FP09mwUyY0YAPx3fh3fG3EdMfh3sv/anUTQoY91SHueNhiE4dXbAeLaC5hpXQXu8DX5zARZeIl/5PykmcXHEPUXnp3f/D//et/5q3jhShJnIj1Ow5U+qaj+OiFRJmptHyGw4gJPRku6jOKNz7zf/yv4HEsM3Q4i9shGtYCe31PnDiC0mvNb4InxgSbN/uISov7Py/Bdear6q0YgnzSeuI33UEEealpaWYnmZf4ETuMBXg3rDZgq9P+MI1VCUqOR6v9r8KC2XBJ0Mf4P9R/yN56W820J5xAAibdlwz1vAGjGyehbqiFnklW/DMhi74CiIPNKxketoW0PZMUKIYp/EUovJZ9z78gPrPedeaFKEmckNu9lwOqRIBYJrYc0a4Trb7pGsf/p/bGJMdHOKf/YWNBBpWEgzXmmF3I9TtO9GweRBR+SXI43HCsqcQFU/XmreqtHwVFuILwUJZlIo/o+8uwB96OsFrVc7H75+/rxXV8pr0IjXeJnLuHH4HXdYOAMBw1hB2Gd/F1pQbRG8fF2jj01XcjvjFWtiTo89/swgaEUtlr1xTLch+lRKq4g9PISrGNFPIhagoFaHCARfY8xlHxU9P+aZXVjPLssU3ERYjwG8KaEFx9WQOp5uck+0IzJHqWuMD2lEVmVQH06VWaDZu4f0+6ClEhe21Jqd7WUgJc6aeFjZGXz8QgcYWlYdvFnosWzuasHIpwxrOQYyviZwUReHvAy/COud47TfdP42/J72Ia7VflbWXhS6NPRPeANOlkdBuvF7SFGYtzR1YvW4pL/sKFjHuiqcQFXPbZEiFqBAWstCe0/9fGIbQ0tGM1UulcbaExauhhCIz7p7Mab3NOdlOzvYcoMMu5DH5U8prjQ/oap8zG1cKcl/0FKIy0Ta5YPKnUghKYW4fGYfdujA3pdSTLs0T8ngFKwVMs6rsMr7r9JYDAKxAl7VDtl7zsNFBGPefQUz/QZyr7UXY+kpZlMY2j094/e4n/99S9HYvfF2bmzc1L4RGyaEq/vAUorLnw4PYvJE8OBOYYZ5YOCGUMJ8Fnkzr/BR1siU+TuoWzMPXtca1qmgw4SlEZffHB7Flvbzs+YSV2e8RlMI8NjkG6kXyy3ziq1hOMMIl53id+ThKY8uB877MmdIZRMVGos58XBbC3LC7EXGDZ52x4wAQlq2D4eZwqKuukk2hD1+FPHq71WioS/T4XTCLcX9Ur5BH8RN34z1pFSejDoEdNeW1oh6PDgmwzuzDsbJZREEetsYX7p7MGZUdUQmRsvVkpiWWoCu/BzNTe5G55wxG+tYj+dpNUjfL57UWeFVR4WE7mZYPmBazEju+XKVJ9rtOUApzuTIw2IuU5DSpmyE4geQcf7jgiXl/1585iZoly3lpV6BYt7+MmfAGDFZYEJkU74wfD0vPRL4MvOSu9OkHkZLm3wC4Qs3OOP4NMUFOM9DLvs/YwtRjokq48BvMhMnPyUAA+gb1otlzw+5GxPTuQdfiesQv1kKzcZNsnAC+cPdk1p88g5rl8q4YS+c0N2iPIemLXbIoOCTmtSYYPBcV8gebe6Dc7nlEmIuIcdTgfyWFIlQBIOPoMG/7YgPtGQccmVVmZ/rRcz7VobpK/jdF4/Ao+42iomRnoMTEaBjlZT/+xLer6CYoF7Ft0+LKeIyXlSmu2qcrnOySBKQllgAbStAXuROL9w5A6ndWUt0HlYxSrjVPEGEeII4qnwsnenqq/llaWClCi8RDjGqcZYXielecr4vDT2CyxIjIJEf6A3tyNNTptbKIH2dC2ZJCj8tt40anZ5wwn9JKz33mDV8CnIhvZTLPns/MOCt+eso3LbZtCga82SW5YteqAav0xZyUfK2FTwydj9kXN5xFbtca07elABHmAeOeEtEX5okxID034GOySdHIN1zixgPBPDEOpAt6CCfuqQ7zr/uBOAcWAMfkT0fHLYihi4oSv0EKwDw2AeR6vti8GVUiwIMLV/sZZjT4tG982aZQmrznapcIzBHzPsgn9D31cG0PNLGpyE8Uz7HF5FoTPb48QYuZ8Um/6xFhLiIDQ3qUFVUFvB82KRr5QGwx7kr/UB/Ki4R90+Ca6tBQa4H2emlTHTLNmuKL/r4hFOYmOv92DVHJ8VI91NvyUGFAP4Ts4kSP3xEBLg/sxjHJs2vR8GWblDB5jy/6+4ZQXlkkdTNYE0jqRD4evHxda1yrigoJ/eZ5ZmYfBjbPIqGiSvS3zUyvNTmGbxJhLiJ5OcoxSGKLcYqi8FT3L/CTvIfn5bfNz+H/dZRhdyOA84U6AMT0H0RbbQ8S1lfJYhKnr6wp/qA9ANlpjnRfnozO438OrKpoMOHqCU/NdfQZEeEEJghhm4IFiqLw1JG/4Cdr/nu+PS/MkbBV3Git7UfmnrdgGNmK1C3sC7fx8eDl61qT61uVuMg2GFdHovi6uyQ5vhKvNRoizHlEyhATvhAjbtwTu4zv4i3DP1EZt1SwtIj0U7wq9gBMOZOABrAnqhC5XoOMqqtlP6HTF+5pDinTlCw9AVLiKRzFVYRHxU0RUU4A4LCDDz6Xg76R2AXfSRViQk2ZHTHPCmBX+x68pfsYlSmlskyLyBRnhpbRD6Fq3g7Ljoslz9CiJGaXLJa6CV4RM4yFTXw5QIQ5r/gLMenWt6MgV37iTyoxTkNX+7TMTeHvA/OrfHbpO1CYWxzwMUZ27cW08X2YKyyIKitAvoIzG9D4yjne3a5HQUng8xmUjD8h7k7PWT3yS0O7zwgX6BuJ9enp5Ms2BRt0tU+L3bqgymdXhx6FxcoaY2mJJcAdJeg7vBNxewcw0aMHRBbmSrrW6Ljy08XtUEPcXP+uMLnWxHResXH6hAvYDoIbmWnyebUSZjQ4PyqtxvmRAtdqn3SVT5qstOyA9m2qa8XkX5/EoPoV2LYugvr6qxSdbgxwCHJalFMpWo/GJTNH4TlvOTBhNc77AA5j6PrxRUZuGiiKwu+/eAEUtbByMIHgSqC2KVhxrfZJV/mkycpWtl2KT5AmblsJ15pRZ4JlxzuwGv4JQ20v1FdIm8UsK9thz391WHn2nHjMRSQ+LoGXcBc2KRpdkdoz7gnaW26dc3ihrHPWeV7z+Djm7TTqTJjr0QNwxI+rDV2whDfAuHkW6grlpDr0BjU740h3yOApPz5BXiWlfUFRFH578C+4d/38eFR/sPWI+yM+IQ4ft+7BzqaPsSS9FFeWK/cVPEF44uM0vEzsk+PkPa7Q3nKrfRoAYLVPz/Oax2uUY5fccYQRzUlybDb3QamY69EjLm4Aw0umsT16FI9KHMIUr4nzGlIldjYWthBh7oLQMeJtHU3QD9QEnFGFTVvkKMZdcfWW09Be860pN6C14wyyGaSYpF+f2VNHoE6OBpUVg56yYURqNdBUrVJU/HiuS3YU15zjOcUzjF+9tTV1IMtL6j+58aFuD95t+RgVqaW4utS7MedbiLvT1tiOHWOOV/A7Tr6FK8o2s3pQIMgLoe15a8cZ9A6sDHhin1wn73HB1VtOQ3vNtxZfitYzHchWiF3yBp00gCl8PHgxvQ9KTXyCHXtiRvDBUB1Wnv/NpaKluR1/t3oOqQLEC2OZsBpZ36eIMHdB6DSE2sRUXvbjD7mLcVfqzMdRGlsOwFUAUagzH8fWlBugTUxZsI2rZxwA4ntOOFMdhq2vxHSqY8KJBlCUIKd57LELr365Gg9taiJPrREWiqLwSoPDeL7S8BauKplvPN3FuJCTM3WWDvSOOkRF72gfPm7dQ7zmCkZ4e77QNoU6dUNNKE0q8Lh8a/Gl0KYkit8oHjme1Y7MPRMw7NYyztDCx4OXUq41ChTeHGvwKobFpGW6Y0FIlVImIhNhziP+QkwyBXziVZIYd+Xhgid8fp+dPj8u37C7ETG9exBTMOhc1r1hApFaDfI3SJOWiS98TeZkS6ZCvFIf6vagZ8xhPHvG+vDOmZ24vPAi5/diZUmhKAqfD++b9wqeeM1DG3+eTnfbRAAeXv99n99n5yjDLnkir2QLugEMQAf1QXEztCjhWouwGPFOwhn0WUwApBXDFEXh07F9HkOqZswjoreHLUSY84i/16ONLScAlPN2PKWKcTbUt9Rhy/or5qU6HNsQDtuSGsymxgNQrmccWBjrxtfrtcYTLdh81fqA9/PQ95ZC76HYUU7eVMD50Glvuavx/Ofpf+OaZVtFF8Mft+6B/nQ/UHphWbuxCx+1fI6rlih7bgKBG/48nfUtdQDY57UOZerrWrDlisDtklTQ6RNtYfsRd7INEz3FomRooe+DgSJUlVlTXStU/Qfw+4yDmJ51PLi6zy8Qk13te9DdPN+et5m6sPPs57gyfZmoYSxckFyYDw0N4cknn0RWVhZMJhMee+wxREbOb9bk5CQefvhhZGVlQa/X47HHHkNcnPImkcTHJQS0vZQVOKUiPk6DkV17EdN/EIO1vYgqK0BOgFlVvBW/EBM+veOe4Gvyp75bjcYTibzsy5UJqxGfdBxAz6h+3nK9eVCSEJL6/iZkp2diUfoiAMCoZQz94+ew68ynRJizQEh7bjfKqxaEEibkyQ0hJn+Kbc/TEkvQvaQH8X1zOCfS/Fy+rjUhqsxat78MS3gD3lrXhX7r/OrRUnnN64aakJuaibhUhz03WcegN5/Du2c/xZXpy0RtC5e3vpIL869//et49tlnsXTpUjz33HN4/PHH8eijj85bZ9u2bbjhhhtw3XXX4YMPPsC2bdvw8ssvS9LeQCgrrGSdUSXUxLhRZ3L+P3xiCAVHT2Gw5Dhib86CuuoqXjzjXItf8HEDEFqQ05RVyqsqoadY8SZTN4pSFrazvr9JdGH+k0u/D/OKCcQnxIGiKNzxf9tAgYLZagZFUSSchSFC23O11pOokIbywgrRMqpEWIwIy1J7PJaSKK/g3y5JZc+d8eYAp4qgbCgvrBB0/1ygEy70FLcjdlkW2mdiUTa5MNc6Pb9ATB5e/32MV05Ac96e3/K+w56PWkyKSJ0oqTCvr6/HmTNnsHTpUgDAZZddhnXr1uHhhx9GeLgjxfrIyAheffVVPPfccwCATZs24cYbb8RvfvMbpKTwOyGCaxpCppxoPITH7/fvNQ81MQ5cqMo5FX4CmugLN59PUnqw4YqNvKU69FX8wh9cbwBiiXFXThxqxKYr14lyLG/4m7j5k0t9x6OKTd2BRmy8eh0+bt1DJoFyINTs+fHGI3iKgT0nXOD4kUZcejl/dkkKew5ciDc3jDaJUhH0eOMRXLruckH2zRb6Xj0zsw+GWgvU6x2piH8pdcPcoK8110xBPRPn8IGpAVenytueSyrMDx06hMzMTOffOTk5GBkZQXt7O0pKHJ7Ro0ePIi4uDrGxjtLIarUaGo0GdXV1+MpXvsJre/hIoeULlSra63ehKMZp6CfvruJ2xC/WYnrjRud3iQfO8Jp/3FPxCyZGmcsNQApBTqOK9pSNQnjEzKLCN6poFSiKwo6Tb5FJoBwINXse7cOeEzwTzbNdEtOeu+OMN08SPt5cTtfaXI8ecZFtMK6OhHojP2+xhSD6vD2fl1d/1uYx+5cQcEmTSCOpMB8ZGUFycrLzb5XKMWjNZrPXdej1XNdx58a7NsA+OwNQwLduugeVpctgsU6hpmIVunrPYnR8BBUlNTCahjBkPIeivDJM26ahH+hCTmY+olXRaO9uRZo2A9qkNDTr6pGoSUZ+bjHqm48hNkaN6vIVOHpqHyIiIrGieh1ONR+FzTaNFdXr0NrRBPPEGKrLV2BgsBfGUQNKCyuxKDYOew99hLycIoSNmtA90IXMlEzEq+PRYeqFNjEF2ek5qG+pQ3ycBuWFFTjeeATRqmjUVqzEscYjmJ21Y+2yi1DfUgeLdQq1FSvR2dsO0/gIKkuWYthkwJDxHIrzSjFtm0bvQDdyM/MQrYrG2e42pGkzkJKUiiZdA5I0ySjILUJd83HExqhRU16Lw6cOICIiEquq16Cu+TimbdNYWb0GLR3NME+Mo6a8Fn2DehhHh1FWuATmiXH0D/UhP8fxirJL34GstGzEx2nQ2nHG5zktji5G63t/xig6UHlJPFo1ydDElKN2Lg2d7b0wjYyjorwWpxvaMHTOiOLSPExP29DbPYDcvExER6twtq0baRlapKQmoalBh6RkDQqKclF3vBmx6hjU1Jbj8IFTiIiIwMo1Vfjzm6/AapoG8gDruWn8qesfWHt3Dfr7hmAcHkXZkkKYxyfQ3zeE/ELHTPiuDj10c13o6NYDfUBHQi/+L3Mn0k0piNfEobyiEMePNCI6WoXKsgycOH4Gs/Y5rF5biYauIVimrKhZVYGus70YHRlHRU0JjEMmDJ0zoqjMcU76rgHk5DvOqb3VcU7atCQ01+uQmKxBfnEu6o85zql6RTmO7juFiMgIrFhXjVNHm2GbtmHFumq0NnXAPDaB4iX5aDxxBkbDKEorC2Eem8CAfgh5RY5z6m7XIzMnDfEJcWhr6oA2NRGZueloPNGC+IQ4lFUW4sShRpjHJgFcAeALAHYAWwAcxvjoEEzGCHSd7cW5wT6UVRdgxDCG4XMmlKyogs1qQ1/XALLzM6GKUaGzpRupmY5zOnNKh0StBnkluWg40owYdQyqVpbj+JeOc6pdX42GI45zqr2oGrpGxzlVrSzHQM8gRgyjKKlynNO53iEsLnacU89ZPTJyHeekO92B5NREZC5Ox+njjnMqqS5E3YFGqKJVWLqmAnUHGzFrn8XKjctw+ngLzGMTeOfIv9F9qhcwA8gCMAF06Xrwf2lvY03WCknOKSEpnrONFROh7PnX71oD++wMqLk5fPvm/58o9ry+4QDmYiJ82r5FsYvw+aFPONk+tvY8ZdSEmYghHDowBNtcEWvbt2ptNeqON2N62oaVa6rR0twB8/gEamrL0acf9Gn7srLTEK+JQ+uZDmhTEpGdk476upYFtq92ZQWOHW7E7Ows1l60DPV1LbBMWVG7ssJpzwuLcxVlz5mcU2JKEmbnxnCq6VPULokX5L5bkl+G+jMnA77vmicyAGyGuz0fM5tgGitmpCUsA83osPTBHK5BlSURu48clOW1Nz42gX+e/Dc6Gubb805dD15Nfhvrslbwft+tXlGOgd5BGA2jyC5OwnTPKCd7HkZJGHDz4osvYvv27Th48CAAYGxsDImJiejs7ER+fj4A4NNPP8Udd9yB/v5+53ZJSUl45513sGnTpnn7Gx8fR0JCAr54sw1xi+R3M9v/2Vu4uPaCNziUvOLAhfjx8IkhUH0DiO4/6IxPU3spAvTF7qO4ZMtqXo6/8+zn+PmhPzifngEgJjIaj6z7gU8vCx2j1jJyoRBSeXIh3rjuT86nbim9457Y99lRXHxZ4P3mLStLRu4IHvr9IeffSvKMe+PAJ0exP/IIdIaOBd+VpBZKFnozOT6Jy/JvxtjYGDQa+doMoez5Z292YdEiDezGMVFizOm3l/7s8xdHP8clq8V5JT6yay+Kss7i1BqroisYK8Wes6FbtxszzTpk7kmHbdVNSKotY70Pf/B1rQWalcVU1wrVsbcwsHkQURUlsr4Wv9h9FF/EHnH+ztTsDBAZBQpAmbYQD2wU1p5785gzseeSesxXr16NX/ziF86/u7u7kZGRgby8POeyZcuWYWxsDFarFTExMRgbG8Pk5CSWL18uRZNZ4xqiMjs3G3JiHLgQkxYzcQaaREclvuHEcQxsnoC6otbn4Lbb7fjV4Rd4mXHvr/iFN3xVs7sirca5TA6CnGbWzk8crWtKRDHDVCiKwjNf/gU/3Bj47850X7P2WfzkcnnFvSuJYLLnTOz07KxIKTmCCLnbcy6TFOfnN/8LYk8tRcyd/8F6P77g61oLJCUinX3FuHmWtSjnM3MO033Nzs468+rbxo2i3p8DCWMBJBbmNTU1yM/Px+nTp1FVVYUvv/wS3/ve9zA7O4sPPvgAW7duRWpqKm688UZ89tlnuPbaa7Fv3z7cfvvtsvUc+YoV33DxZWI3RxJcM6vM9eid8eOalWUY1tLe10XQpC72G59myhrHW6f4mXHvr/iFNzzdAOZmZ3BcfwJXpNXISpDTrL54GW/7chXkYnnGP27dg51NH2NJemnAEy+Z7mvlxmUBHSfUCUZ77ou1yy7yvxJhHnK15/RyrtlD6HjzKe0xdJ7ah8V/7cdU0VbesrVIea25Z1/ReHm77YtAJtpy3dfai5YFdBwpkTxd4quvvoonnngClZWVMBqNeOSRR9DT04N77rkHa9euRVpaGv7whz/gpz/9Kdrb29HX14dnn31W6mbPg+nEzfqWOqyr3SBGkySB9oynxQ0AVkfM6EiUAYabY6Gtup71YKYoCn/78J+wpIo7494d16duZ9vOi3G5Jl5qPNGCNRtrOW8vhRinoSdgWuzWgCdestnX6eMtWL2Je58RgsOeMyXY7TnfyM2e801aYgmwoQTd6bthiOc3W4sU15pRZ8Ki/e9hJrwBA5tn/b7d9gYfE2257Ku+rgXrNtQuKOKnBCQX5nl5efjrX/86b1lBQcGCGMQXXnhB7KZ5hWsGFYtb8v1gwrC7EVbDP2EuMWKkrABAGOxaNYBFyOcYh7arfQ/OjQ4DqeLPuHdFbvHjTLBMsc93LJeMKnymK2SzLyuHPiPMR4n2nCvBbM+FQC72XGic3vOiY+g6tQuL95yBoScw77nY1xrtJe8MwEtOwzVzTqD7cr0HKimMBQDCeWpLUBNmNMz7AA4xTn+YUluxUqgmSoZRZ8LkX5/EcNgzCFtpQ/z6DcheuxXZa7cir2QL58khtDGeyZpf3pfJXGVPg5cL02PDeOLLZ0BRFKgUrWJEOQDUrGJekGLCanSKclWC1vmRgrm5OTz75V/mpSt85su/YG5ujvW+vKU+9HYNLV0jvyIeBAdiTfxkQzDac6GQgz2nKAq/OvyCKAVm0hJLkL/hVqivqIWhthcz+u2w7HhnXpgnG8S61ow6E6zbX8aMfjsGNg9CfUUt8jfcylmUz83N4emj8+35U0e52/N5qQ/9XEO1KysU6S0HiDD3iD8hznUCZ2dvO5/NlBzr9pcxffAxGGp7ob6iFjnX3QltCT+TuJzGePjCMiZGme3g9YRt3AjbuBEfmBrwbvcX+MDU4H8jmdF1ttfn97QYp5/upRTjrvxm758xah2ft2zMOo7f7P0z6325estpaK+5J7p1vvuMQHAl2Oy5kEhpz13b8JbuY87Cngt5JVugvv4q2LYuQlfGLsTseR6G3Y2s9yPGtTayay9i9jyPzrx9sG1dBM0l3B1rNI8f/jNM0/Pt+ej0OB4/zN6e+5q064nOdoc9V5JDjUbyUBY54B6aAgiTytA0PsL7PsXCsLsRMb2OARBumwAAl1SHm3gvMkBP0BmLMiMhNX7eciFm3LuHq1AUhVf2Ol6filWQwBfe0hbm5E3Ny5xCMzoyvmCZXEJVvEFRFD4/uw8AEB0RjSJtHjpGumG1T2P32X24b/M2Vr9BfX8TirQLJ3nV9zd5DGcZNS7sMwLBG0q252Ijtj13R8pwGE+x5z/+74fRE1aMyNiIeet6S1vI97VGzwez23qd9/OI1BEMbJ7hHEvuDkVR+KTLYc9jIqJRkpgH3Wg3rLPT+KRrH362jp09Zztp16DvA8oyFywXEj7CWIAQFeZiCXF3KkuWCn4MvnEtvztZaUFUWQHs5/tKDX4GsCfoCTrnVhiQkZnKeDu2g9db/PiHuj3oGTtfxnesDx/q9uDqUunK+Oq71Wg8kch4/YqaCw9KUk7kZMPHrXswbXeUUA8LA8rSitEx0g0AsNltrGPN2eYdX7JMnhXsCPJEifZcKsSy597gM86ZK66x52f3q3BWv8jDWp7nufB5rblW2tasLHPezwENo0xpTNnVvgfWWYc9RxiwJKUYujGHPbfO2lj/Bmwn7VZUFijSWw6EiDCXSoi7M2wyICNV3Ce4QHAdwPGLtci/7geiHNc1NdawwcTKkDMdvL4mdFIUhVca5r8+lYPXnA29+i4sSr4QqSZnQQ54jgf/95nPYDtv2On48EAytPjDOGRCWjbza40Q2ohlz8NGBwU/hpCIYc/9Hd9TOIwUk0hp73lEfKzH7+cG+2B++TkAQKQq15nRheu15skzPhM9DNOlkdBuZJ8pjSme+vy9s59h2sWeC/kb2MaNGLYDabzv2Tvub6QDIShjzMNGhgWJEQ+UIeM5SY7LFtcJIIbaXmi/dT1yrrtTtOO7xgIOneN2sXub6EPHjwPwOqHT1VtOQ3vN5Q4dNz58ziSr2HF/eIoHp0U5ja/4cD4wDARuWCmKwu+/EGeCGUFaxLTns/GJoh2Lb4S050yPzyY2WQyiYxI9LrenhGH8RivGb7RisOQTTB98DNbtL7O+1sJGBzGyay+mDz6GwZJPMH6jFcPf02D4exrMfKcQOdfdKZgoBzz3+bSbPRfqN6Dv71yvNVcoisJvDjC/7vi61walx1yVHA/Vonj/K4qAawncadt6vPSvdADMS+CKgWF3I+IGzyJsegwAEDPTj7baHiSsr+Kc6pAr7rGAv136AKf9uOe9ZZPy8NS5JhQnF8D1OZ46v1zKcBZfuIerlKyokrA17HGPB+8fPwfrjBVhYWGwzFiRpclAYmyC1/hwb7CpIFpQnufzeybwWRiJID/EtueOXNIfYqDqMCbzU6FOXcX7MYREKHvOBiEKCgmFKi4Z2Wu3AgCGynWYKnIULMo6lAJrS7+frS8wE2mCvrwVmvWpgswB84d7n+vN52CxWxGGMFjsVuTEZyApJoH1b8C06ieVokVRWeD2/EPdHrzb8jEqUktFvfcHpTCXE70DkWhoodN8UQDo/0ufM5l+zTWcsQvTqx1i1Z4cDQDIqLpa9MEMLIwF/OTsftxV8HVW+3C9GWxv+CcuT10KpKYw3v6Bjcopyz47N+NxwonNavOyhTzxFA9OURTu+L9t0A13QK2KxYtf+x3r155shHKgfcZnYSTCBewj44hWy8PRIqY9pyfcn6s6g4T1VYLN5xESvu05l/AHoQoKCY3rpNFObQtictllZklIl+6a8dTnFEXhlve3oWWkA4uiYvHaNeztub8HNFcH3PR04Pb8lQZmCSD4mvRJQ4S5qLQDkIcn07C7ETP67TBXWKApK3M+pUuJp7i0Nw9/iO9c9jVWA/i90zvRNaYHAPRMDuIDUwOuTpWXZ4QtOXkXCkzMzs04/59bPOPRIPR1DaCoIl/wdrHxSLMl0EJDbIVyoH3GZ2EkwnzEymEeZjSwCHUU3p4vrozHeFkBshUoyvmy53KYuMk3uXmeCwZ5Wp5XsgXtnWrkb1gndLMYe6S5EOjvyPQBjX4jru8aQHF5Puf2SpkAgghzUSmSugEw1bVCdewtDBe3I3arMKkOueIpLs0QO8J4ANvGjaAoCv/Q/ds5G1yJEzc98fifG1hlV8nOF2eSsVChG96KA7HxQrMVyoH0GR/tJSgN6e25nAnUngPymrjJJ089y642Rm6eOPY8kJAhX/DxO/oT9rZx47ww1ZwA7TnTBBB8TvqkCcrJn/JF3Mp1Rp0Jlh3vwLLjHVi3vwzr9pdhafgLLxW9hICOS1uaWu78FCTnom6oyed2rhM6PzA1oGdyfhYDpUzc9AaXQkCqGJXg7XL3SPM54ZFtcSBvbWNa9RMIrM8CbS9BicirEqnc4GrPXZHjxE0piI4Wx567eqT5tOeB/o7+Ck15qvAZSJ+xTQDBd4IF4jEXlSYAxaIciY5P7Fpcj/jFrvHji6CpWiUrQU7jKS7t808O4dL1nl/heZrQeapZeRM33aEoCr/c9yy+v+pbCAsL4zToO1u6kVuYJUDrLiBk6Abb4kC+2kbjr42B9Fmg7SUoEfHsuRJha889oaSJm97gIzzkbFs3FucLa8+FDBkK9HdkUmjKPalDe2s3cgu49RnTBBBCeMsBIswFJzfTDnpi0JQlBepYq8ty/nHM4n8PM+ENmKy0QL2+FjkKjE+kSctYKEp9ZVhR0sRNT0xYjfik4wA+0O1FVe5SzqIuNVPYFIlCh26wLQ7kDhehHEifBdpegjIQ254HG57suS+UOnHTFT7CQ9j2G1uEDhkK9Hf0JeyvSKvxmGktkD5joyOESEdMhLnAuKbQOmeIQEaqcMUiRnbtRUz/QXQWtyN2mbzix7mSkprk/D+blIdKg37ypigK/zrzMSwBCl1tWpL/lQKAi0daTLgIZaH7jKB8xLTnwYirPQ8FAs0oQyN0vzHxSEuJN2HvKYSFRsn2nAhzEWnSNfBWKY5OdQjAmX/cGt6Akc2zUFfUKjK1lieaGnRIXnRhKgRbQU5RFH578C+4dz3/s8z5wH1C50ctn/MSHnLmlE7QKpbBGLpx5pQOkZnCTrtJDg+uB0oxiE2WZyw3n/bcG9SUGXatWtBjiElTg45V5U93hMwaIgR8hYcE2m/+UGLIkGuhQE801+uQniVcn/GdItEVIsxFJEmTzMt+DLsboW7ficHaXkQmxTtzjwOLULzhVl6OIQds40bEnT81rh5yqQoE+MNThhU+w0MSBa5uq8TQjZE53/GA4UnAohhhhfOIj5hEItqVBV/2PJRISg7MLgmVNUQI+AwPCbTf/KHUkCFfuiBR4D4TEiLMRaQgN7D0WnT8uCrxNEyXhkO98SrFh6p4wvX1VN6KSlDaBE77YVMgQCx8pTzkMzwkrySXeyMVji8B7kt4l1ZVCtEcRseftBo9tpuIdfFgl8M8cHseihQUcbdLfIWFiAWf4SGB9Fsw4p4a0RP5xcL1mZDecoCkSxSVuubjnLcd2bUXMXuex7mqIxj9Wj5yrrsz6ES5a9pDKkULKkWL+mPNnPfnqUCAVNApDwF4TXlIh4dUppc7P0XaAtT3M08vRtNwhHu/BQJFUfj9Fy/wmmrLFyNzxgUfwCGAPX18cfqwNH0GeG4v4Dg/EzUiWbsI3gnEnocqdce5jzFPYSFyxlO6yNKkAlbpIp37CqDfAoGiKPzqsHj2nAm+4spdCUQ7SA3xmItIbAyzWEHD7kYAQITFcQGqDV3QVx2GZn0q1FXB5yX3NakzVs0tvpRNgQAhYVMUiM/wkBiO/RYoQhUcovHkVeYr/CRmkbximZ3nZZNXuwgOmNpzwgUCsedKKzTEZ3gI134LFLmFDvmLK3dFqD4T2lsOEGEuKjXltT6/pyd0zszsQ2p+LBAPUPEx6CkbRkJFVdBM6KRhkmWlekU5p337KhAgRqw5G0EuBFUrufVbILgXHOIjdaKQQtydilXi9xlBufiz54SF1NRyG2NyzxoiNFz7LRDkFjrERpQD3LWDHCChLCJy+NQBr98ZdjciZs/z6MrYhbmLImH65hqYvrkGo9fWoPj6e4JWlNMhK944uu8Up/3TBQKq08qdn+LkApw6x/41IhuYhKyIwfEvT4l+TE8Fh9jCJCxFKE7uPSXYvgnBhy97zgcRFiPC4oPLK3/4wClO2/EZFqJEuPZbIMgpdIitKAe4awdfiOEtB4jHXFQiIhZ2t6muFbGnDmEmvAGGWuUXBPIH2wEWERnB6ThiFxoKxENOURSe+fIv+OFG/lKAMe03vo4dSEYZd6+40JlRvMH1WiOEJp7sOcE3ERHcxpiSsoYIkdKRab/xdWw5hQ5xEeUA//ZcqCqfniAecxFZVb0Ght2NMOxuxMiuvRjZtReqY2+hreowbFsXQX39VUHnGadxn9jJlBXrqoVqEi/w4SGn47KZeJiZTq6sXc+s39gc299+vGWU8YQvr7hU1GyQ97VGEI4wo4H1Nquq1wjQkuBm1drgH2N0XDYTDzPTyZVM+43Nsf3tx1vokJhwFeWAMNpBrDfgRJiLhFFnwuE//wEz+u1IjHwd8fGfIi5rHwY2DyJhfRXyN9wadJM6Ac+ZVthw6qh8Z1ZzEeTuwto9LtufgWYqpJlkZWF7bF8wySjjKsbFCk9hg5RZWQjSwyZVIkCysnBBquwiQuEurN3jsv3ZVKZCmkm/sT22z+PJIHQoEFEO8KsdxPSWAySURRTogkD6+MMou2EDTOUXJiVogKAV5DRcBxYA2KZtfDSHV1wFOVvcs5Z4isv2ls2EzeRKJv3G5tj+8JZRxt0r7guKovCnPX/Bts3SVPWzWeV3rRHky7RtWrB9j+zai+j+gzhWNogoBM/9YVqG9jwQ3LOWsKn0yWZyJZN+46vKKMBP6FAgYTWBinKAf+0g5nwx4jEXEFNdK6zbX8aMfjsMN1uw4d5bkb12K9ISS+Z9golAPeTucHkdRVEUfnOAWe5VNuu6h61waZersJ6bm/MYl+2tLWwmV9Ze5LvfvMWE85Gv1luYij8+PbMH/278GJ+ekWaSEQllIbBhpQChLEadCZYd78BqfB8DmwehuWRLUIU3rlzDzZ4zzaUtZt5td2E9NzfnMS7bW1vYTK7012/eYsKlzD/ONayGD1EO8BfKIra3HCDCnFeMOhOMOhNMda3O+HH9hjrMfKcQ+RtuxXCfPPOt8gWfgpymtamD9TYf6vbg3ZaPGRUUYrIuX5lW3IX1b/b+mXFcNlshrWv03W9sY8LpNviKbw8kZpyiKPzr2Fuwzljxr2PS3FDONrC/1gihS0sH/2EZcz16WJPqQN2QgeLr7wk6x01LM/sxxkbg8RVjzbRdrsL68cN/ZhyXzVZI++s3LjHhQj7EcA2r4UuUA9y0gzfEzq5GQll4wLC7ETG9exCZ0AN1cjQAgMqKQf96GzRVW5zG1Tw+IWUzBYPPweSOeYxdn9GFhSx2q9+CQkzWDcRD7n4sd2G9++w+FCbnLzhmfX/TgpASX0LaU/iJv36jY8I9LfcWzuKpeJBrRpVAYsU/PbMHvabzDy2mPnx6Zg8urxA3P/EEy2uNEByEGQ2s48sBwDwxLkBrgEUpMZjTZguyb6lhew9kE+4hZt5tT8L6k659KElcaM/rhpoWhJSwzcvur9/omHBPy72FswhZPIhLWA3fOoKtdvCEWOkR3SHCPEAsO97BzMw+TFZaEFVWgGmX+PF8N2+HFEUChISvOHJfsC0S4FpYyFtBIYqi8NuDf0FFaonXdfkS5DSehLXNbsMty65jFNfNVkj7KzDEtsqoexjOqpKlzhsQLci5xojT3vLp8ze5afs0/nXsLXxlibipuSpWB9f4JAiLUAWGwqYmBdmvHGB7D2Qi8OhY5sqUEt5irNm0i8Y6a8OtS65jdEy2Qtpfv7GNCWfyEMM1RpxLqkUhnHuBFhiSIoSFhghzjtATOnuK2xG7LAvqqk1+Xzv26QeRkpYsUguFRUgvuSsDvcz7jPaAuxoET57wD3V78M6Zj7Cn69CCdS/OvSA4+XxS5uKhdoWtkB7oGYQ2nb9rzfXBomdUj71tB3FtzXXz1qFjxMsySll5u1295TRSeM3PdfPbZ4Tgpm9Qj5TkNEH2PZsaL8h+pYbNPZCpwNvVvgdvtn2E3T2HRMu7zcVD7QpbIc23dmDywMPVo87mbYCQOoKNdvCGVAUCiTBngFFncv4/fGLIWRBoYPMs1BW1jCfnGIdHBWqheIglyGmMhlHG67p6y2ncPeFO8T47jcGJ+bmLe0b1+LTzIK6tnS84+YCtsA6UERb95g/j7DBeOflP501v2m7Du6c+xjVLtzpveu4x4my83Y19TShMLYDr2tT55WIKc9PQqGjHIigf4+iw1E1QHGzugUwEnlO8z07j3KTB57p8InbBIz61A5MHnkDCgpg+tAitJdhoB3ekCmGhkVyY/+1vf8O5c+dgNBpx4403YsOGDR7XGxoaQkFBAaamphAeHo6mpiaUlwv/6pmOH09UW5zL6qo6oSlKhaZqFavJOWVLCoVooiiIEbbiidJK5n126lwTipMXCrxT55qcwtxdvOdoMqFRXSh73WTqxrWBNloGlFQFfq3R8eN72w6ib3Rw3nfuHu1AYsTv/cqFm5yUKROLqpU7PuWC3O25O1zjywGgrHAJz60JftjcA5kIPHfxnhufiaSYBI/rKhk+tQOTB55AUi+6PrR4C4cRw8HHRju4ImUIC42kwnzv3r344IMP8NZbb8Fut2P58uXYs2cPtNqFP9bf/vY3nDlzBmq1GhEREUhKShK0bUadCepje53x4+NlBbBrHQIuAVWcUlg5JnCk89xS4RHbS+6KeWwCyGXWZw9s9O3FcA91oUAhJiIKz139KKITUwJuq5wwj00gk+O15j6hs3Wo26dHm88Yca7hMM52BSDsHZM/lTc+5YKc7bkQmCfGeb9cIixGUFkx/O5URrC5B/rzSrt7filQWBQVi9eu+Z0kdRCEhE/t4O+Bh0uMuDfcw2HYOvjo+WD3rmdvz9loB3ek9JYDEgvzZ599FldccYWjIZGRqKqqwiuvvIIf/vCH89YzGo34xz/+gYiICNx2223IzhZ2xjodP95V3A7NyjLkr93Ky377+4ZQXlnEy77EQEpBTjOgH0JZFT995inURW8exJ5zDbgyUfleFVfO9Q6htJp9v3kqBuTq0fYEXzHigYTDuLaFq7Af7BlCyVLljE+5IVd7LhT9Q30oL6qUuhmKgs97INvMJkqGz37z98DDV7+6h8NcnuqYv8VGT9DpjCtSSxckcfAHF+0gdQgLjaR5zA8dOoTMzEzn3zk5OTh27NiC9fR6PbZu3YpXX30VVVVV+OSTT3hrA517nP64FgTSfut6ZPMkygEgvzCHt30JiXuRICnJK+Kvz+hQl4qUIlSkFHksGx8sLC5m1290DnI2ucdp6Bjxisxy56cwtQCNfez61VM4DBsCzYWeW6KM8SlX5GDP2RBmNPhfyQf5OfyGPhl1JkT3H0RPfPDGrvN5D5RD2XixEFM78NWv88JhxvT4sOcgKz3hns6YrT1nqx3kEMJCI7jH/JFHHkFTk+cfdGRkBMnJF2bNqlQqmM3mBevV1NSgpqYGTz31FJ544gl861vfQk9PD2JiPL/yu/auS2GftYOiKPzHTXehqrQGFusUaitWorO3HabxEVSWLMXZTw5hrGsvatLjMD1rR+/4OGZXT0O9pBCWqWyk9VCYsxjQ1KBDUrIGBUW5qDvejFh1DGpqy3H4wClERERg1dpq1B1vxvS0DSvXVKOluQPm8QnU1JajTz8I4/AoypYUouNsL7o69M5B1tWhR1Z2GuI1cWg90wFtSiKyc9JRX9eCeE0cyisKcfxII6KjVahdWYFjhxsxOzuLtRctQ31dCyxTVtSurEBney9MI+OoXFqCYYMJQ+eMKC7Nw/S0Db3dA8jNy0R0tApn27qRlqFFSmqS13Pa/+k+RESGY/kVF+HU0WbYptuwYl01Wps6YB6bQPWKcgz0DsJoGEVpZSHMYxMY0A85B0F3ux6ZOWmIT4hDW1MHtKmJyMxNR+OJFsQnxKGsshAnDjVCFa3CstUVOHGoEbP2Way+eBkaTzjOqWZVBbrO9mJ0ZBzxmjhYJi0YOmdEUZnjnPRdA8jJd5xTe6vjnLRpSWiu1yExWYP84lzUH3OcU/WKchzddwoRkRH4Tu2NOH28DXORMai9qBq6Rsc5VVWW4/SxMxgxjKKkynFO53qHnOK256weGbmOc9Kd7kByaiIyF6fj9HHHOZVUF6LugOOclq6pQN1Bxzmt3LgMp4+3wDplxdI1FejW9cI0PIYD00dxQ8HVGD43goLyPNisNvR1DSA7PxOqGBU6W7qRmuk4pzOndEjUapBXkouGI82IUcegamU5jn/pOKfa9dVoONIM27Rt3jlpkuLx0t5X8JXsTSitLsL4qBkvfvQKvnf9fyEsLMx5TrPxM+g43YPMnFxk5KXj5KcHEZcQh+Klhajf3whVjApVaytQv99xTss3LUPzsRZYJ62oWluBnrZerLauwLc3fQMjgyYM9xuRv8RxTv2dA+ho6oIqRoWuM91IydIiOT0JrSd1SNBqsLg0F6cPNyNmUQwqVpbhf1/6B6YnpoE8YPrsNP635x9Y97NVONvYiYmxCVSsLse57kGYhkZRVF2IibEJDPYMOQX1zs8/QHdXLxAJdOl68HLMa7hu09VoPtrC6Jx62/RI0GrQ09aLMeM4ypaXeDynrIJMZue0qhwn9zp+p5oN1Th9uBk2qw01G6pxtqGD0Tn16vTQJMsnQ4cU9vzGuzbAPjsDUMC3broHlaXLYLFOoaZiFbp6z2J0fAQVJTUwmoYwZDyHorwyTNumoR/oQk5mPqJV0WjvbkWaNgPapDQ06+qRqElGQVwSmgZaERujRk15LQ6fOoCIiEisql6DuubjmLZNY2X1GrR0NMM8MY6a8lr0DephHB1GWeESdPSeRZe+wynQu/QdyErLRnycBq0dZ6BNTEF2eg7qW+oQH6dBeWEFjjceQbQqGrUVK3Gs8QhmZ+1Yu+wiHH3ujxi2nkLh1Yk4N5uI6CMGVC5NDNies71Hmccn0N83JNg9Kl4Th6kpCy/n9OO13/F8TsXlqD95RpRzGjGO4YvZo/h6ztUYGhwR7HdKSIzHnw++gqvTN6G8ogjjY2b8ac8r+H9XOuw5n+d0kXkF7l7xDY/Xnq61i9E5LV1Whj/93z9gnXLYc2uvDc/1vI2LijajrbmTkZZ4e98H6Op32PNOXQ/+GvEabrroasZaouusHonJGqeWqKgpgXHI5FFL2DGJrrY+ZBbnQ5s2x/m+W7WyHAM9gz61REKSf3seRklYszU7Oxvbt2/H5ZdfDgD40Y9+BJPJhJdfftnndjU1Ndi+fTuWL18+b/n4+DgSEhJw+M1GxC3yfvJGnQmqA69Av7ge8Yu1CEtLccaPx6YuFqza2uefHMKll68TZN+BItXkTn/s/egQNl0ZeJ/xnZecKx+1fI6nP/8j7r/0+4zSJHLlmb/+Be/bP3Iex/24fBUG4otPmj/Hbz/5gzNOHQCiI6Nx7+U/YBSSQlEU7vrHNpw1XKj2VpxaiBdv/xPjcJj9uw5hw7XyG5+T45O4JutmjI2NQaPhNlFRDISy51+82ebTnnMlkImfAPD5oU9w6brLA2oDPZfJmlSHyRIrVBs3BF21T1fkfA/kws6zn+MXh/6Ih9d9X9Dwmaf+/he8Gf6R8zhiHZcr7za+j8fr/gbrrM25LCYyGg9e/ANGISkUReHWt7ahzXjBnpdqC7HjJub2nI12EDOEZXJ8Epfl+7bnkoayrF69Gr29vc6/u7u7sWbNGr/blZaWIj2dW1C/Zcc7mD74GIyVZ6BZWYac6+5E9tqtyCvZgrySLYIaxaxsYXLeBopr2IqcRDkAZOYE1mcTVqNsRLl7kR6hnokpisKh0WPO48zNzc07rnHW8aqcS9iKUAQaDuMrzp0p6YvlOT6VghT2XEqy0viJjU9Jj0ByZSZil9QEtSgH5HsP5ALXsvNcjrNv4pjzOHNzc6Iclwt0GGydsRXF2kJUp5U7P8XJBTh1jpk995X6mClMtYOcQlhoJJ38uW3bNjz//PP4r//6L9jtduh0Ovzv//4vAKCxsREqlQplZWVobGxETk4OkpKS0NPTg+rqatYThlwLAsUv1kK98SrRjWC8Jk7U4/lDLnHkvohP4N5nbAU5RVF45su/4IcbhUnV51qkp3e0Dx+37hHEa/5x6x6cmzEAMY7j/Gbvn+cVBzrY2SB6uXt/+Jtg6g8+cqHHBXCtEcS154ESqLccAOLjeHx7YTZjNlWZk2DZIOY9kGvlSqYEklKQ7XH6Zw3O4zx++M+iVThlivsb9wcuvy+g/TFJfewPJtpBLk47dyQV5lu2bEFdXR0ef/xxWCwWvPjii0hMTAQAPP/889BoNPjVr36Ff/zjH9ixYwduuOEGLFu2DA8++CCr41i3v4yZ8AYYai1Qr69FDodUh3zQeqYD2RzT9/CNEkQ5ALQ1dSCLQ59xGXAft+7BzqaPsSS9lHfBTHvLXVNQ7Tj5Fq4o47cyHX0cW58NKHcc599nPoVtdgaAoziQFOXuhSZQYQ8A7Y0dyMyTx/hUImLZc7nQ2nEG2em5UjdDUYh5D+RauZIJfKYUZHIcV3v+3tnPMH0+REToCqf+ECoE1l/qYyb40w5yFeWADAoM/fjHP/a4/LnnnnP+/9e//jV+/etfs973yK69iO4/iPbaHmiKUqGu2iTpq0JtSqJkx6ZRiiCn0aYmslrf9bUUmwHnHmbCt2B29ZbTCOE1dx5n0YVltCh3HleCcvdKICktUeomKB4h7TlfBJqNhUbLU+0DyjLGy36UgFj3wEAqVzJBrFSNzuO42PNpl7htoY7rD7nOSXPFl3aQsygHZCDMhcD62muIjIrBZFwLRjZbkFDBrSAQ32TnSOuNU5ooB4BMFt6VQAab0GEm9f1NKNK6F3Wg8MqJN3h9CKCPMxNpR1gChXPjBkzbbYiNikFmQsb5o4pf7l4JZBBvecgQaBgLAGSn85jCLlHtf50gQKx7oNBhJh6L9FAU/rfxDV4fAujjzITbEZUQCb15ABb7NGIjY5ATnzFvPTGEuRIEOY0/7SBXUQ4EqTAfuroTE2oVgChoqtbLZkJNfV0LtlyxXvTjKlGQ0zSeaMHmq/z3WSCiXIwwk59cuvDVHJ0phc+HgJ9c+n2MzBlx6IPjuOzGK3jZZ6jQfLQFF28Vf3wSlEl9Sx22rCdjjA1i3APFCDPxVKSHzpTC50MAfZzdHx+URDsA88U4oBwd4U07yKWIkC8kzcoiFIvX3YL8Dbcif8OtshHlgDSTP5UsygFxJnD4CjMRCqEytNBpELUpmX7WJLhDJn8GP3yFsQCBT/407G5EzJ7ncTj9ALryIat7lVCIcQ/0FWYiFEJnaJFKO7hnbFOSjvCkHeSYgcUTQSnM5Up5Bb+V4nwhp+qdgVBW6bvP+IgVo8M/KtPLnR+hK4J6Cp0JFFqUL4rRonipMNcaRVH44+cvyCpFF18I1WcEecFHGAsAlBdWcNrOqDPBsuMdWA3/hOnSUWRcf7UsQi3FQIx7oBQVQT2FzvCJUP1GURR+dfiCPad1g5xTKDPFXTvIPa7claAMZZErx480ilJcIRgEOc2JQ40eiwTwOcg8hZkIiRChM66iHADq9zcKUizn0zN78O/Gj1GWURp0MepC9RkhODneeIRzgaGU9AioMzQYXpINbQh4ymnEuAd6CjMREjFCZ4Tqt13te/BW20coX5SFq/MuAhAcugGYrx3kJMpN1IjfdYjHXESio1WCHyOYRDkAqDz0mZwGGRf4DJ0ZmTNiZM64oFiQKob/a42iKPzr2Fuwzljxr2PyKmzBB0L0GUE+8JG73JVoVXTA+5hN5b+iqZwR4x4oNmKEzvDZb7RHfHpsGNsb/gnL7DT+0fkx5rTJQaMbgAvaQYl6gXjMRaR2JbdXn0xQ0mxpNixbPb/PlDjI3PGcocWxnM0kUHcvuStVa/m/1lyrawZjykUh+owQvNRWrOS8bSilSHRFyHugVHjM0AJ+M6UE2m+eJnB+0PY5eiYHAVyoqsm0eI8SWLa6QnZ6gb5n+4MIcxE5drgRl2xZzft+g81L7sqJQ424+DJHn8ltkHGFj9AZX6IccIRlrLuSv2uN9pZPn39dO22fDrpCRXz3GUE+8Dnpk+ZY4xFcsjoAIRMiKRJdEeoeKCVihM6w6Td3EQ4s1AYUReGVhvnhN680vIWrSoLHnh/44gDWXVorO72gjk72uw4JZRGR2dlZ3vcZzKIcAGbtjj4LFlHOB/5EOXCh3/jC1VtOQ3vNgwW++4wgL/gMYwGA2Vk7p+3CJ4Z4bYeSEOIeGAp46jfXiZreJm16m7z5oW4Pesbm23Paax4MTFiNmLXPyUovMPWWA8RjLiprL1rG6/6CXZQDwOqLlxFR7gITUQ4Ayzct4/W4jX1NKEwtgKsvJdgKFfHdZwR5IIS3HADWLruI+8bxcQBCL5yF73tgsEPf45cvXczIE86UU+eaUJy80J6fOtek+HAWWi+svepiiVuykEUxWkzaJv2uR4S5iNTXtWDdhtqA9xMKgpzm6KGjWLmhiohyF/yJcgBoPtaClZsDv9Zo7v2KuJkOpIDvPiPIB7695YCjwNC62g2sthnZtRfR/QdxuLYHmthUqLGY93bJGb7ugUrGk8D2BZWiRcOXdVizkb9+e2BjcNpzVyfeqb11WL1JHtcaG285QIS5qFimrAHvI5RE+YTVCOvUNBHl56GzrzDBOhn4tRZqkD4LPoTylgOAxTrFeF2jzgT1sb2wzuzDyOZZJFRUhUzuclf4uAcyha0AFgsu924x+02puL9Zt8qsz5jeuwEizEWFr5nVoSLKAWD5pWskbok8YPvETTKMsIf0WXAihLccYJ+VRauZgLogA4OXlIdElU9P8J1dxBfBdJ+sWUVsky88hbsuXSOPPmN77waIMBeVzvZeJCUncNo2FEW5KkGLM4dPI1HLrc+CBaZx5a70tPUiMSW0+40tpM+CCyG95QDQ2duOpAT/GRbmEYKZWFxheg/0JsBD4f7nia6zvUgK8fugN7zNQevW9cpGO7C5dwNEmIuKaWSc03ahKsoBYNTIrc+CDbYDe4z0G2tInwUfQnnLAcA07r+CH00oZ2Jxxds9kM+JjcHIKEftEMz4SwohB+3AxVsOEGEuKpVL2b2+DCVB7orrQFuyLDRf+dKwiSt3pWx5aPcbF0ifBQ9Ce8sBoLJkKbsNQjQTiyv0PdBTwRuCdypqiG1yhUmmNrloBy73b5LHXESGDSbG64aiKJ+wGhcMNOMQ8z4LNrg+bQPAyGDo9htXSJ8FF0J6ywFg2MRM/JvqWhF76hAOqz9GZ+ygoG2SM7ZxI851dXnMtU3wTSjfB91hmj5Z6j4L5P5NhLmIDJ1j9kOFqij3hGFAnjPrxYLL0zYADPeHdr9xgfRZcCCGtxwAhozn/K5j2N0IS8NfoN9Qh4T1VcjfcGvITfx0LXwzaLETMc4Bptoh2GFT00QO2oHr/ZuEsohIcWme33VCWZR7GmwF5f77LBgJ5GkbAPKXhGa/BQLps+BBaG85ABTnlfr83qgzIcP4AbovioRm46aQFOQ09P2sqIyMMS6Eer+5Ou6Ypk+WUjsEev8mwlxEpqdtPr8nonwhNqvvPgtmuD5tA6Hdb1whfaZ8xPKWA8C0bZrRerNLFoeUKPckyGn83QMJngnlfuNa+Vtqex7I/ZuEsohIb/eA1+9CUZTT+BpwfV3e+4zgnf5O0m9sIX0WHIjhLQeA3oFur98ZdSYs2v8eRqLEe1CQGjpkxVfsuJ7Yc06Ear9xFeWAdNqBa8IGV4jHXERy8zI9Lg9VUe4trtyV7HzPfRbMBPoaDACyCkKv3wKF9JmyEdNbDgC5mZ5flRt2NyKmdw/OVZ1B2PrKoK/w6ctD7k5OCNpzPgi1fgtEkNMoWTsQYS4i0dGqBctCXZT7G3iqmIV9FgoE+sQdqv0WCKTPlAstysXylgNAtCp6wTLD7kZkTO5D9wY94pdsgLZkuWjtERs2gpzG0z2Q4J9Q6jc+RDkgjT3nw1sOkFAWUTnbNv/VZ6iKchomA6+zxfvrYoJ3us6QfmML6TNlI6YoB4Cz3W0el2syYxGWlhISopxthpX2VjLGuBAK/TZhNfImygHxtQMfb7ppiMdcRNIyLlxsoSzKmYSw0KRmhl7/8EFKFuk3tpA+UyZih7DQpGkzPC6npsywa9Uit0YcuHjJXXG9BxKYE+z9xqcgp5FCO/DhLQeIMBeVlNSkeX+HoiinYToAtWlJ/lciLCA5nfQbW0ifKRexveUAkJKUumBZhMUIxIveFFHgw5lE7Dk3grXfhBDkNGL2GZ/ecoCEsohKU4MOAJwz10MRNt5yADhzSidQS4Kb1pOk39hC+kx5hBkNkohyAGjSNcz726gzQW3owlD8mCTtERK+3vA215MxxoVg6ze+w1Y8IbZ24MtbDhCPuagkJWtCWpTTsBmIiRLddJVOAuk31pA+UxZShbDQJGmSnf837G6Eun0nOovboV5TGzSZWAINXXEnMZmMMS4EU78JLchpxNIOfHvLASLMRSU7LU7qJkgKW285AOSV5ArQkuBncSnpN7aQPlMeUnnLAaAgtwjAhfSIpktHod14fdAUExJiHlR+MRljXAiGfhNLkNOIoR1oUc6ntxwgoSyiYRs3or6ujXjLWQ7KhiPNArUkuDl9mPQbW0ifKQepveUAUNd83Pn/3ILgqvApVHKC+mNkjHFByf0mRtiKJ8TSDnyLcoB4zEWBNnIxGQsnC4UKXLzlABCjjuG5JaFBzCLSb2whfaYMpMhZ7onYGDWMOhPie07AUDgIQLkFTVwRMmNYLLHnnFBiv7ne88UU5DRCawchQlhoJPeYt7W14c4778QTTzzhc72dO3fiZz/7GX7605/inXfeEal1/EGlaNF0ynPe21CBy+A8UxfafcaVlhOk39hC+ixwxLLnUotyADjywSdQHXgFnXn70FcdHhRx5UKn8Q31eyBXlNRv7h5yKUQ5II52EMJbDshAmEdHR6OnpwczMzNe19HpdHjyySfx2GOP4Ze//CV+97vfobW1VcRWcsd18syrL7wlYUuUyY4/hWafTXJ8w0Dzrz+EZr8FAumzwBHankuZhcUVw+5G/Ovov2CsPIO0Ky5F/oZbpW5SwIhRW4PcA7mhhH6TiyCnEVI7COktB2QgzPPy8pCTk+Nzneeeew6XXHKJ8++LL74Yzz//vNBNC5iFhi5MusZICNcwFgAICwu9PksO58OghV6/BQ7ps0AR0p7LIa7clYiIMESVFQRFhU86W5jwc6DIGOOGfPtNboKcRmjtIJS3HJBJjLm/Djx06BC++c1vOv/OycnBa6+9tmA9iqIAAJMTU/w2kCO2iSlQ2mTAPAkAiIyKwMT5/4cSk9YpqDTJmBlnf+6RURGY5LCd0pmipgAb9xi5UO23QJBrn02ZHfaMtm9yh3d7PjXh2O/UBFTJ8bBNmnlsLTcmp6cQFR6O8ZgIJCjcptvMI/PuU0ISqvfAQJFjv01aR5z/V51PHcrlHi8UQtlzEzUCdXQyJm3c9s3EngsuzB955BE0NTV5/O6hhx7CsmXL/O5jZGQEyckXcsaqVCqYzQuNM71sy9rbuTVWBC4pvVnqJiiOy/JJn3HhmizSb2yRc5+ZzWYkJCRI2gYp7PnVt8vXI33L9X8E8Eepm6EoyD2QG6Tf2CNn7eDLngsuzH/+858HvI/U1FRYLBbn35OTk/MMO01WVhZ6e3sRHx8fkiEQBAIh+KAoCmazGVlZWVI3hdhzAoFACAAm9lwWoSz+WL16NXp7e51/d3d3Y82aNQvWCw8P9xvfSCAQCEpDak85nxB7TiAQQhl/9lzyyZ+A51ibxsZG50z9//7v/8bu3bud3x05cgR33323aO0jEAgEAjOIPScQCATuhFESzyg6efIk/vM//xPp6el49tlnUV5eDgD47ne/C41Gg1/96lcAgFdffRVNTU2IjY1FbW0ttm7dKmWzCQQCgeAGsecEAoEQGJIL81Cjra0Nv/zlL1FcXIwHH3xQ6ubIlqGhITz55JPIysqCyWTCY489hshIRUReScrMzAxeffVV/PKXv0Rbm3KKUkjJq6++igceeABTU1O488478dRTTyE8XBYvEwkyh9hzZhB7zg1iz9kTDPZcWa0NApgU4CAAX//61/Gf//mfuP/++5Gbm4vHH39c6iYpgvHxcWRkZECn00ndFEXQ3t6Orq4utLS04P3338eLL76Iv/3tb1I3i6AQiD1nBrHn3CD2nB3BYs+JMBcZJgU4Qp36+nqcOXMGS5cuBQBcdtll+OMf/4i5uTmJWyZ/tFqtM3yA4B+KovDQQw9BrVZj/fr1+Pa3v426ujqpm0VQCMSe+4fYc+4Qe86OYLHnRJhLAEn95ZtDhw4hMzPT+XdOTg5GRkbQ3t4uYauUA7m+mFNcXDzv74mJCWzYsEGi1hCUCBlvviH2PDDI9cWcYLHnJMiLZ/gowBHqeCpAAsBjERICgS/Gx8cxMDCAb3zjG1I3hSATiD0PHGLPCVKgZHtOhDnP8FGAI9TxVIAEgMciJAQCX/zud7/Dc889p7iJQgThIPY8cIg9J0iBku258lpMCHo8FSDJyMhAXl6ehK0iBDP/93//hyuuuAKFhYVSN4VACCqIPSeIjdLtORHmEkAyVPqmpqYG+fn5OH36NADgyy+/xPe+9z0Sa8cQcn2x480330R6ejrWrVsHAPjoo48wNTUlcasISoGMN98Qex4Y5PpiRzDYcxLKIjInT55EfX09zp07h5aWFjLj2guvvvoqnnjiCVRWVsJoNOKRRx6RukmKYHR0FG+//TYAYMeOHbjpppsQHR0tcavky/bt23H33XcjIiICADA7O4tNmzbhyiuvlLhlBCVA7DkziD3nBrHn7AgWe04KDBEIBAKBQCAQCDKAhLIQCAQCgUAgEAgygAhzAoFAIBAIBAJBBhBhTiAQCAQCgUAgyAAizAkEAoFAIBAIBBlAhDmBQCAQCAQCgSADiDAnEAgEAoFAIBBkABHmhKBgZmYGs7Oz85ZRFAWbzSbYMYXcN4FAIIQ6xK4TQhFSYIgQFBw8eBBf+9rXsGXLFmRkZMBgMKCxsRFvvfUWioqKOO2zubkZf/3rX3HmzBloNBokJSUhPT0dDz74IN58803Mzc3h9ttv5/U8du7ciddffx1lZWVobm7GTTfdhFtuuYWX7Zjuu6WlBT/84Q/x4IMP4uKLL+bt3AgEAoENwWLXAf92lS8bzvUeQpARFIEQBOzZs4fKzMyk4uLiqJSUFOrb3/421dXVxWlfVquV2rZtG1VQUED9+9//pubm5pzf6XQ6auvWrVRUVBTV29vLV/MpiqKoffv2USkpKdTIyAhFURRlMpmolJQU6tNPPw14OybrfPjhh9Qdd9xBbdu2jQJA7dmzh9fzIxAIBDYEg11nYlf5suFc7yEEeUGEOSEo2LNnD7V9+/aA9zM5OUlt2LCBqqyspIaHhz2u89RTT1GlpaUBH8udyy67jLr77rvnLbv77rupTZs2Bbwdm313dnYSYU4gECQnGOw6jS+7ypcN53oPIcgLEmNOEIzJyUlQFCV1M1hxxx134OTJk9i5cyfCw8Pxwx/+ENu2bcOVV16J//3f/4XVasX+/fuhUqlw2223obm5mZfjTk9PY+/evaiurp63vLq6Gvv374fFYuG8Hdd9EwgEgjtKtuurVq3CI488Ms+ef//738e2bdvw4YcfYvny5aK3jS8bTux88EBizAm809fXhzvvvBOffvopMjIy8K9//csZUzc6Ooo33ngDd911F+/HPXXqFO677z7Ex8ejo6MDt9xyC6655hrG2+/cuRNvvvkmHn74YWRnZ+OOO+7Ab3/7W2RlZaG7uxsFBQV47733cOedd6KtrQ0PPfQQkpKS8Kc//Sngtnd2dsJut0Oj0cxbnpCQALvdDr1ej5KSEk7bzc7Octo3gUAg0CjdrldWVuKJJ55YYM+feeYZ6HQ6vPDCC6z2yxd82XBi54MHIswJvDI1NYWrr74aV199Nb773e+ioaEBd955JxoaGqBWq/HSSy/htttu4/244eHhsNvteOaZZwAA4+PjKCsrw5tvvomLLrqI0T6eeeYZhIWF4Z577sELL7yA7373u8jKygIAxMTEgKIo5Ofn44YbbsCHH36IkpISfPOb33RuT1EUXnvtNRw8eBDPPfccq/aPjIwAABYtWjRveXx8PADAZDJx3s5ut3PaN4FAIADBYdcfe+wxj/a8oKAALS0tKC0txf333+/cLhB7zga+bDix88EDEeYEXnnhhRfw/PPPY/369QCAr371qygvL8d7772HG264AQaDAZmZmfO2ue2222A0Ghntf8WKFXjiiScWLN+4cSM2btzo/Fuj0WDDhg147LHH8NFHH/ndr91uxxdffIHq6mpkZmZCq9XOmzl//PhxAMCVV14JALjqqqtw1VVXOb/fsGED9Ho9TCYT4uLi0NHRweocIiMdQzEiImLe8pmZGWf7PMFkO677JhAIBED5dj03Nxc33HCDc7k/e/7666/j2LFjePnllxETE+PTnvs7B3/wZcOJnQ8eiDAn8MrmzZtRW1s7b9nNN9+M++67DzMzMx69Kq+99pogbVm0aBE+/vhjRusODw9jdnbW+arPvZ179uxBZGQkampqcOTIEaxZs2be9/v37wcA/Md//AcA4OWXX2bV1tTUVADA3NzcvOVmsxkAkJiYyHm72NhYTvsmEAgEQPl2fdWqVfOW0/Z8w4YNABy2sLm52WnXv/GNb+Ab3/iG88GCrT1nA182nNj54IFM/iTwirvxBhyvIymKQnNzM5YuXcr7Mc1mMwoKCnDvvffOWz4+Pu70IvgjJSUF0dHRXr///PPPsXz5crz99ttOQ8onWVlZiI2NxeDg4LzlRqMR4eHhKCws5Lwd130TCAQCEHx2nbbndJjH3//+d0HsOhP4suHEzgcPxGNOEIXR0VGsXr3a43d33HEH41eey5cvxy9+8Yt5y8LDw2G1WlFcXDxveVtbGy677DJG+42MjMQtt9yCzz77DDabDSqVyvndyMgI6uvrcccdd8BqtToN3EsvvYTvfOc7886hvr4eAHDttdeyOofo6Ghs2bIFLS0t85afOHECGzduRExMjMd9Md2Oy74JBALBF0q067Q9//GPfwwAaGxshNVqxeeff75AvO7fvx/T09M+7bmvc2ACnzac2PkgQbpMjYRQ4vbbb6cMBoNg+//JT35Ctba2Ov8+cuQIlZiYSOl0Ouey1157jUpJSaEOHTrkcR9DQ0NUUVERdcstt1ArVqygHnjgAed2AKhbb73VWZRiaGiIuvPOOxfs44477qDuuOMOTufw/vvvU+np6dTY2BhFURTV399PLVq0aF5xiA8++IBKSUmhPvnkE1bbMVmHpr29nQJA7d69m9N5EAiE0EAJdr25uZmKjo6mqqqqKKvVSu3YsYMCQL3xxhvU66+/Tj355JPU4OAg7/bcHV92lS8bzsbOE+QL8ZgTREGj0SAlJUWw/T/66KP4xS9+geHhYajVaoyOjuLIkSPzvC0URcFms+Htt9/G2rVrF+wjNTUVJ0+exH/8x3/gxIkTmJ6ehsFgwOeffw6tVovLL78cYWFhmJycxA9+8AM89dRTvJ7D1q1b8fjjj+Ouu+7C0qVLUVdXh+3bt8/zDtHnQE/oYbodk3WOHDmC3/3ud6irqwPg8HitWbMGd955pyRpxAgEgrxRgl1vamrC9PQ0EhMTsXnzZvT09DgzyTz00EO49tpr8Z3vfId3e07DxK7yZcOZrEOQP2EUpbBKAQTFodfr8fjjj+OFF16QuikAgJ///Od45JFHvH4/MTGBH/7wh1CpVJiYmMBPf/pTjI+P44EHHkBeXh5sNhvuv/9+j3GVXCd/EggEgpJQil0n9pygNIjHnCA4n3zyyYIsJlJRV1fnd6JSXFwcXnrppQXLd+/eLVSzCAQCQVEoxa4Te05QGpJnZZmZmcH27dtRWlrqc7377rsPYWFhCAsLw6233ipS6wh88OWXX87LCS4Vc3NzeP3113H99ddL3RQCISgh9jx0IHadQBAGyT3m4+PjyMjIgE6n87qOwWCAVquFwWAAcKGSFUEZrFmzZsHMeino6+vDPffcg/Bw/p9H3333Xbz//vt47733QFEU/vM//xPXXXcdvvrVr/J+LAJBrhB7HjoEs10n9pwgJbKIMe/s7ERhYSG8NeV//ud/0N3djdtuu41R2iICgUAgSAOx5wQCgcAdyT3mABAWFubz+4yMDPT29uJrX/saLr/8crzxxhuIiopasN7c3Bz6+/sRHx/vd58EAoGgBCiKgtlsRlZWliBve/iG2HMCgUDwDCN7LkmSRjc6OzspJk3p7OykCgsLqd/85jcev+/t7aUAkA/5kA/5BN2nt7eXb9MrCMSekw/5kA/5+P74sueyCGXp6upCQUGB11efrrz99tt4+eWX8f777y/4bmxsDImJidh9+B9YFKcWoqkB0dbSidLyAqmboShIn3GD9Bt75NpnkxNT2LL2doyOjiIhIUHq5vgllO15/7GPsKQhGu32jUi5pEKilsmXts4WlBaUS90MTpg+3o/8uNM4vSkcuUWXiHpsudomOSPXPmNiz2URysKGkpISZGRkePyOft25KE6NuPhFYjaLEaMmsyzbJWdIn3GD9Bt75N5nwRjOEUz2fGhUB/XEOEb7c7AoV424RWRSqzujZpNi+8WSkIPRXh3ie/SYXtQKbcly0Y4td9skR+TeZ77suSwCFt09K3a7He+//z4oioLFYsGxY8ec37377rt48MEHxW4iL+QX5kjdBMVB+owbpN/YQ/qMH0LRnnfrdmPqvQ+RsD8H1tzNSN1SLWHL5Et+TqHUTeBM6pZqWHM3I2F/DoY+/hx9h3eKdmxim9ij5D6T3GM+OjqKt99+GwCwY8cO3HTTTejv78c999yDtWvXwmw246abbkJZWRnWr1+Pb3zjG8jLy5O41QQCgUBwJxTtebduN7I+G8BsxxpMbrgeqSVJUjeJIBCpW6ph1OUg/1guTO/sg35oO1QbNyAtsUTqphGCCMmFeWJiIu69917ce++9zmUFBQXo7+8HAKSlpaGnp0eq5vFKV4cehcW5UjdDUZA+4wbpN/aQPgucULTnkcYppCIdusUriCj3Q5e+A4W50uc+DwRtSRJQcgMmdhdD/flO9PT8/9t78/A2ynPv/+tNthVbXmR53/c4cRyTPSSQEMpWlkPb057S077QntIeSre3p+0P6PpSSuG8XaA9lLb0DVAOp7QNFBKWQBMHsmM73mLHtrzvm7zJtmTZ8vz+UEYeSSNpZjSLxn4+1+UrsTyaefTome985577uZ/XYbm5EjlFhyQ7JtEm/qi5zxQ35uuJ9IxkpZsgC2PT3hcX4UuUzuqyPxKZ4MZ6GWtiQvqMwIf0jGSMTRtBjU3APJOL0I3qfXQuF+nJGUo3QTQMh8phys5E3pnXMflcIzr2GqG7/pAk1yiiTfxRc58RYy4jsboYpZsgKWPTRsy+fwLZ5iSX10PMVt77omKjAADpU2bEd5gAAH2xE7CU9UkamVgrrPWxJgWkzwh8mJ1sQFTNAPTNGzGStZ9EyzkQG6NTugmi4oie34uoY6cQV3UOndNvYaHAgNx994h6HKJN/FFznxFjLiNtV7qQkZWidDNEwT0qvnC5Gpb6IWR3FGAufa/L3+zRet77DxtymPGGrkvQ5Ttmv2eO96C7/zQGrvRBc90+r+8lUfW1NdbkgvQZgSs9Z17G2Iud2BJ/E8kr50Fb1xVkpKgzvcAXibcfwFRdGorrz8MyZUQPXoZ28w7RrkVEm/ij5j4jxlxG9EnxSjdBFHqNJ7DUYkTO0Ood6XKPBakr+zF/8C5HFEEkcq/okLhxtSxV0olt0J48Cs3gRY9tqdgo9MVOYEFfLaooqpG1MtbkhPQZgQtj00bkDcdiMXYz5veJq3drHX18kv+NVEpCZQlMMcnIajuGxOFhjG4Wb99Em/ij5j4jxlxGMjLVd/fmHhm3fXAGC30mZHcUwJy+1xkNj8gEog6VI0rk42ekuOZt0nl9C30DLq+HWUyA2RFVnwxtxELn2+jd24doQ7Zzm/Vk1NU41pSG9BmBD1nJ2bAo3QiV4a7naxHTbAy0AMLGzUC8OPsk2sQfNfcZMeYy0lDXikM37/W/YZBAR8azzUnOPPHxnmXkRtyO6Pvvhhyl+xta63Bo780urzny+rxHqSJONCGu7iiWB3qgTRwGAAxqJ9FTsH4i6Woba8EA6TOCP3qNJ0Cda8ZcXRbeXVnA3XeSaDkf2PR8LaEvSsB4XyGWq/sxNnoSVtMgMnbfEfB+iTbxR819Roy5jKhlMsLYtBELl6uR8L4FkdOVmDPkOiPjkXszES3jo1shk4XoqPpK3wBsy47XdKMmWFvewELn2xgsaUVm7n5QqfHiNjaIUMtYCyZInxG8QWtiXM0Kogd3Yf7gXciwtCrdLNWx1iZ/suFe67yn7Wlo77o1oIAQ0Sb+qLnPiDGXkdKy4F/1jI4IGeqysJh+CFH3HRA9PYUPpfllgt7HFlU3GSuQUH0K1ok6dLe96PK35XiN8/8RZUWqr/yihrEWbJA+I/giz5KCaFsc+vfdDn1RAiLmhGnTekaonqsNZq3zuLqj6DO/joWt6YKrtRBt4o+a+yxU6QasJ2ouNindBK+MTRsx8MZhRDzXhdTLu2A9+O9IvP2A0s1CTZPnJE+h6IsSEH3P3VjW/DM2zD7g8pPYdjcS2+5GWlUKFo7XOaouiFiPXW6CeawFK6TPCD6ZXnD5VUxtWi+stz4zHCqH9eC/I3fkdmiOzqPnhafRazzBez9Em/ij5j4jEXMZiYzU+N9IAQYvHMVsTRuyOwqwUHCHJJM4hRKpiRR9n4ZD5V7/ZjJWOBaM6HdMIB1IOIPlREcbQlJSVBNJD9axFsyQPiOwQc+1Wa4JQ0Tmrc7SiFJo01pnPfaZZ/S8Dj2jo7zmOxFt4o+a+yyEoihK6UaIxezsLOLi4nDh8t8QEyvH1ER+LMxboN0QrXQznJiMl2A+dwaalmgkROzHwo4Dopf++u6TevQPe97/ZaUt44nvmPy+f8EyD220/N/l+AnH3XbMaAdCFmdgXxpCX2Enoremq2ICabCNNTUQrH02Z57H7s2fwMzMDHS6tZ+jS6O0ntN55bOd4yi+vNujNKJS2qQkatXzYMFknIK2+hSmlk7DVmZByN5NnII9wapNwUyw9hkXPScRcxmpvtCE6w/tVOTY9EUGAMInFwEA5j4TMvsqYM06iOhD5ZBiCPcPh6OxlS3+zm010Oqmi7h+5w3iNooDq1H11eh60okmLB097IykA8ByYmRQRtKVHGtqhfQZwZ08SwqiR4sxuHWnR9BCKW1SErXqebDAjJ7HNldhwFyHgSt9AOB8MssW+CHaxB819xkx5jJit9sVOS79KDayPhqGuVIAABUZBz2AhWsPBPWqdXb7stJNcOKYbf99JFSfAgCELM4AACZDGzFwrWM10mCJpCs11tQM6TOCB9MLAOKwEpPs8adg0ialoZa4nTukzxwwK7dgxPVaMms6AUtZn0uwh2gTf9TcZ8SYy8jua7fKejw6Sm6pH0J2RwEW0/ci6p8PuGwTfA96XNm99Vqlm+ACHfFgEnGiCdqTR9HX9zps2Y6ykr6iH3Ig91hbC5A+I9DQ1akGW6KREFHEmuIXbNqkKBERsJlmnb9q9OyP6EmfrcJ2LYmua0Nc1RH09btG0tNClzA2nRQ0gR81oGY9J8ZcRhrqWrFnX6Usx6IvLJqWaKSu7Mf8QXUuHd3QWoc9lfuUboZP6LrpudWnPKIf9Aqkcqe6yDnW1gqkzwjuwQzrwX/3um6DGrRJbHxFxim9wfl/m2kcgKdBX499xoeEyhKg8mEknWhCzIcdzmvJ+cEPgdbXYbm5MujSJoMVNes5MeYyYlnglocXCGPTRtg+OIOFPlNQVlnhi8W64H+jIMBbJJ2ehc8lj1BM5Bhraw3SZwQAyBuOhaV3P6Luv9fn6sZq0SaxcETEkzhtS+kNCDGNw2aadTHn663PhOKY47Q6v2n2iA67R0Iw9dxp9JQ1Izwh1vk3+poCqKtymNSoWc+JMZeRyu3SLq4weOEoltq6oWmJRm7E7Yi+/26fFxY5yEpbBtvEIMfr/qks2y5yi+TDVySdLY9QTKQea2sR0meEsHEzAMccHH+oWZuEkpkdCkTYPF9P84yks5nz9dhnYnDdjQcQHZeIuROFSDB2OF+nrykArlYO41+Kca2iZj0nxlxGujv7kZDoX/C54KvKiu3az3p9/Co3XEpo+aK7vxMJcYkitUZ+vOURJp45j+7+0xi4Is2kUTHH2nqB9Nn6hg5sLHTqEZVS6Hf+jdq1SQg/+c6M/40YuJvz9dhnYkD3m3sk3Z2UY6dgPfqGKiqHSY2a9ZwYcxmZmpz1vxEH6CoraVUpCItIB+CI8ESmFCL2Xu8nrRqZmp1Uugmi48gjLEHSiW3QnjyK8am3MVjSiozdd4h2DLHG2nqC9Nn6hE7/YwY2uMzHWYvaJAVMc076TBhc+y3x9gMwGSuclcMAR1SdrhwWvbEC+qJrJGplcKFmPSfGXEY2bQksKkpfQCLOLiNlpdJjQmewVVhhztIXSnFSHq/9eKsGEIzQqS4p1adgGziLgbHDAMTJQw90rK1HSJ+tP5iT5HMjbkf0vXf7f9NVNhVtkbBlawt6Yiit52rS6WCAz1jzNt8p6kwVBvpOwnKlwfm6fWM2og3ZazLtRc16Toy5jEyMTyE1zeB/QxYGLxzFbE1bUE7o9GWcmTP1hTBhGkQyj33Q1QC8EWwXBOaCE/oPHbmDzpVG61/HwtZ05O67h/d+Axlr6xXSZ+sHPtVXvDExNY5UQ5pELQwubKbZgLUcACZgR8rV/QWbFgczgY4197rpwNVI+tlGLJQ1K1I5TGrUrOfEmMvI2IgJ4HDj22s84fx/uGnBZULnwkHlFwRiM+JiiDYbY6YR8JnC4asd9ONUNpS+SLjnDpqMU8g78zom+xvR0/k056WbabiONcIqpM/WB8wo+YbMb2DD/eWCJsmPmUZABgw/xkwjKCve6qLFSmuvGhBjrHGpHBZMi+QFipr1nBhzGSkszvH5dzqKM9s5joK6bOfrK5qNsGYdRPShckXSVdzNrFQmnI2CnBKff//ek3EYGA7zeD0zze4xUclbu70ZdiUvGA4RvVewcPobawRPSJ+tbZhR8rze/ZjfF9jaDoU5xSK2bn1A6zmtxe4G/btP6tE/7GlLstKWAy4koGakGmvMymETY7VYkGC+k1KoWc+JMZeRxUXPMlM09IRO7bkwFK/s9sgfj/X6TvFR0oi7s2hb9Pn3geEwNLVqWP7iva/dYft8bGZdCaPOFM6p/tNO4VzWa53bsEXSfY01Ajukz9Y2lvE+bG0yoGvhEKLuOxBwKqA/bVoriDFXiMa9z9wNel9fEpo62b4Z9dakFgMpxxodSY86UYio5ioMmBtAjU2ofqKomvWcGHMZ6e8dRlFJrstr7rmOSuWPB5MZZzIw3IPC3FLZj+v++ZU06sw89NjmKsR3WwDMAwDq8rpZ69ayjTWCb0ifrW3CTQsAomCP1ouyv/7hXhTl+n6ip3ZozRPreuBNz537j4gQ5ThrDTnGGjMPfWKsFuapM7CaBlUbPVeznhNjLiNZOa6TN5i5jqkr/leaE5NgNeLuZKblKt0EAP6Nuhwmnc5DHzNOAQBC58aQOTgMa8sbHgsWuY81gn9In61d6Brl/d0bgSxx9pmVpt5H5VwQ25QDwvWcWrLLrrfBhFxjzVv0XI2552rWc2LMZSQy0pFyQZc9XOgzuUTJ5YApbsFqxplEaiL9b6QAzL6T26SvpjglAJUlmKpLQ1zVEfT1r676Fhmp9Jqv6oM+PwlrB7Ya5WJNng9WbQoUKa8RgvssIsKlLWzVt9ayWZd7rNFBoNyXX3OmUKqtcoua9ZwYcxnpaO8FtXTFtW7u/XdLHiVXmxln0tnbhqz0PKWb4RMlTTpAL1j0sHPVt1nTCdRMhSD73i9Jfuy1REd7L7Jz05VuBkFELON9iG9aQaTuG6IvvtbR247s9FxR96k0UkTJmYil51xSDYG1Y9aVGmvR99yNBeMBxFX9FuMFoxgzGFUTOVeznhNjLhNj00ag/RwW2iln5IZv3Vw+KGXGF0ziTtLRhSd67FOrX83Az0yzg22ip+N1+VHSpNOrviWeeR2tkW+i58zLAS1StN5IThUn95gQPISbFpAYlo+x7EzR952sTxV9n0oh1/XCX58J1fNgnsAvBkqONX1RAqxn0pE3PIbRzYo1gzdq1nNizGWAziXXt4UjqfgrokdumMghsP7Md7g+TrRjJa/ku+xv2TTjcvyHv+C9LQtu1bWYhl4OvJl0KS8OdJnFwj/rYPhbK8Y71fcIUimSDMquD0AQFzqvfHpyoyT7T0pQ19NHNuQO4OgTkn3+3b3EbSCwfR73FBi1GHWlxxoVGQdgTNE28EXNek6MuYQwc8nzevejPlmHColyyaUSWG8mXEzz7YsrxnokGzJEOe6CaVX0H30mCYOjnsM/O5sS9eJA461ur1QMZm+AwfDvSD3zOhYHLqPnehI990dzo1G1K8URVmHLKw+kXrk3mo2Nql35U6knqi3GBqQYxE8v4LqehftnVYtRV/NYUwo167nixnxpaQkvvfQSHn/8cbS3t7NuMz8/jx/84AdIT0/HwMAAHn30UcTExMjcUn7QUXJDXRYiCz6LqPvKkX25WvTjiJ0TyGbE+ZjhHz2p9SqQP/rOAu/2xOvEexzF/ByDk1Fo7mQb/lafqTOBIpdBT9AlOqPn5hNNMPztKIme+yEhMTgvympCaT1nVrrKjbgd0ffe7f9NAknQJUq2b6nga8j5LODGhXiJ+kzoehZKzw/iihrHmtKoWc8VN+azs7NITU2F0Wj0us2DDz6Iu+++G3feeSfeeustPPjgg3j++eflayQP6LrkCe9bEDm9C/MH73JWAcjLKhDtOGIacncjGkhUemA4DM2t4g2rnCyZI7wR4R6fnxlpB8Qx6lIbdOZYoxcpSj3zOiZbGtFzh2fdcwKQVyBSHb11jFJ67r4ehPXgv0s6hwcQV8+lJJDouBgLuDHJzSoU9D458BVNV9qkq2WsBRNq1vNQpRug1+tRWup9AZnJyUm89NJL+MhHPgIAOHDgAP785z9jYmJCriZyhr44FPwjBvaI2xF1370uj1DrWmoCPobNNAubaRaU3hCQKV8wWZ0/4fo4l59gorHlotJN8OgfZt8FOtmV+T3S360YuI81fVECou67FxGZ98Hwt2iYXnodvcYTohxrrVBX06J0E1SPEnpO625czQpSFj6LDfc/LEnqijti6LmUMPUk0OuFWDS0iP/UWCrYtFnMVVD5EOxjLRhRs54rHjEHgJCQEK9/+/DDDxETE4Po6GgAgFarhU6nQ11dnVPcg4m84VhEatNAlVR4/C06SsvyDm6IkRMoZmRcLqIC6DOp8DUZVWg0XewIurexRkfP8868jsnnGtGx1wjd9YdI9BxAtFbu9XbXJkroeZ4lBdG2OPSz6K5UBKLnUhLM5XED6TNfQZCVpRXB+/WHEpP43QnWsRbMqFnPg8KY+2JychKJia75VRqNBmaz2et7br/hi1hesoOiKNx7/8exuaIYlgUrKreXobuzH1OTs9i0pQgT41MYGzGhsDgHi4s29PcOIysnDZGRGnS09yI5VY8kQwKaG41ISNQhryALdTUtiNZGoaKyFBfO1iMsLAw7dpejrqYFQ41ncWg5Bi3tIZhYrMI+/T4Mjg7AND2BkvyNiI6Mwsnz7yI3Mx8A0DPQhfTkDMTG6NDWdQX6+CRkpGSiobUOsTE6lOaXoabpIkKtdmwtrkTNoBF2+zJ2bt2PptZaWKwLqCjbgZ7+DkzPTqKsqAKmqTGMmUZQkFOCRdsiBoZ7kBSdBk1EJLoH25GaWwh9QjKuGOsRr9MjJ6sIjS0XERWlxebS7aip/wBhYeGoLN+LxpaLsNkWUVl+LYxdTTDPzWBz6XYMj/ZhcnocRfmbYZ6bwchYP7IzHY8oZ82DAPIBxANoAJACIBez5rO41KhBUX456prOQqOJxJayXahrOge7fRnbt16Hy601sFoXsKVsF3r7jZieNSE3qxhX2uswbhpGXk4pbDYrBod7kJGWC40mCt29rTDo03h/Jrv9ZgCXAUwD2A2gB8AobLZNaO8ccvlMfQMdSE3OQmxMHIxdl5EYb0BaSjYut9YgNibO+ZnCrMsoL96O+isXEb4hlPf3lJmWi0hNJDp725ASHgW9SY/2iW4k6BKRl1WAupYaREdpUVFaiQv1ZxEWFo4d5btQ11KDRdsitpfvQmtXC8xzsyjKLUHDlUvOsWeem8XQ2KBj7EUBDaXpiO5JQNKxC3jn5HNIuWEztu35KBrqWhGri0FpWT5qLjYhMlKDyu1lqL7QBLvdjt3XbkVDXass59Piog3bd5WjtaUL5tk5VFSWYnBgFKaJaZRszId5dg5Dg2PIzXeUwuvpGkB6RjJidTFou9IFfVI8MjJTOH+m6clZTE3OBN1nik+IFUNKgwIp9Ly9+Qz2jYZirD0J/YtVqNxwDRZti+gf7kVWWg4iNZHo6G1Hsj4VSQkGNBsbBZ1TFaWVouh5pCYSlWXbUd10EXb7MnZvvRYNrXWwWBdQWbYd3f2dmJqdxKaiLZiYGseYaQSFOcV+P1MMIpGbnoeG9npEGVJRXroNH55/B2Fh4dhWvgf1LR/CZlvEtvI9aOtqhnluBuWl2zA82g/T9DiK8zfBPDeD4bEB5GQ6UidmzaMACuGu5zPm06hpDENJ/ibUNp2HRhOJrWU7Udt03uc1Ki+rCC3t9azatzIPdA+2w5CQisQ4A1q7mxAfm4Ds9AI0tddgg8HgXc9DbwZwAe56bl0oRcOlToxMDCA7zfGZRuf6kZacidiYOLR3NUMfb0BaShaaWmsRGxPn+zP1XXF+pt5zpzBtnkZZXhlmYOX8PYmu5zKMvZmpYUxc7oY2VwerYQPRc4n1PISiKMq/nEpLT08P8vLywNaU9957D//rf/0vDA0NOV9LSEjAa6+9hgMHDrhsOzs7i7i4OFy4/DfExMq38iGzCkDuyO1Y2HGA9VHqyfPv4oY9N/HadyC55MwIg1zR8XsfjEFbZ4TH65tKl/HcL71ffL3xwfm3cN2e28Romgu+JqkCCGgC6zIjJz2QfPSQAHIcuY41k3EKG868jsnQRizsta/r6PnJd8/jhpv2KN0MD+bM89i9+ROYmZmBThf8E5rk0nO2vHI5UlhohOi5VEi1MNC930xkzTEvL7Xh+V9O8t7fqfPv4MCeWwAEXmiACWc9X1p2/i0jZRnff2Ai4DlDgeg0V5Qea5aXX4O2wojRj5Sq5vqgZj0P+oj51q1bMTMzA6vViqioKMzMzGB+fh7XXHON0k0DsGrKE07GI7Lgs4i+pxzRXrYNC+Pe3cFoyKdM7Is8/OczMRgadQjf8FgYoqIcF2RNOIW0FMd7khPtXt+foPcUVBo+fcYHXwb7374ZK2gC6+rFgXFHvLSMjJRlPP79Od77c09v4SP6XPuNrtwSdewU4qrOYRgnYClbn5VbwsK8j0OCOIil573GE1hqMUJ7Lgw6/Wex4f4Dkq+g7I5U2sQHKQw5sxJL32AYoqMcaSIaDYXsdIeG813Ajb4mLc+vOP8v5rWJu54zvrOI5atzhtgn9/MtwShlmkswjDW1oWY9D4pv2z2ysry8jLfeegt33HEHDAYDPvaxj+Ef//gHbr/9dpw+fRqf+9zngipylLWYhIWYIhj81CjfUb6L0/7EMOViiB6bkdbqPW87Ricj0NbpeRLkl67gmV8yZ+97vnfBZMGUye5i7sMjVnNUUw034tqdAhqvAOwVacKBiGUsmByT24REZyi9gbfocx1rNIm3H8DkMWD7UCMayng3cU2wY7d0C3+tJ6TUc7YoeaKMUXImfM8xMZEyj9xbJZbCXN9RcmZAiHWdiIhwpBruwnU3Kl5zwgVvc4YGhtmfFnirSCOlQVdyrAFAyOIMEK+uPHc167nixnx6ehqvvvoqAODll1/Gxz/+cQwNDeHLX/4ydu/ejeTkZDz99NN46KGH0NnZicHBQTz11FMKt3qVpdZW2Ca41XOta6nBtduu97lNoKb80WeSMDjpaf64pmG4m3F3I/6TJzUYGnYV1q4e4UJL79+buZ+ZuYAp0y6fUXVviF1TPRDC9XEuos/XoPONnnMZa+7Yo/Uwz4Qj3DSHkNhpUKnxvN6vdupqWnDt9duUboaqkVLPgyFKzkTIOcaX7z6pR/+w62WaWrIjM0WHn3x/MeD9s0WFO3rYbcHK0orPCZhc1omYm7sIQFh6gRx6zvwMQieUBvKk0xtyjLW1hpr1XHFjHh8fj29961v41re+5XwtLy/PIwfx2WefVaJ5XmHmlev6KmC79oDXFBaaRRs3IeVryplR8sHJKEFpGExDzhYVpxkaDkVLq3yPiEJCHdEJf2kwbH/v6QtFG8vFYXmJ8ro/+u9SQIs+bdADjZ77EnyuY41JaHYm5qrTsPJWLboLXkTs3n3QFwVHypgcLC4Kq81MWEUKPR+f6cREw2VY6oeQ17sflq17kFBZImq7hSDkHONL/3A4GltZdCIiAkDgx/dep5wFljUe+LJCCS8vy3WNDKa2CwnoOIkIzB6tllp05KAHYtDlGGtrDTXrueLGXI0wIzdJmd9A7L3cHpls9/M4iq5PzodAU1e4GnKl0Gqv82lgp0wWx3YsbQ+LYI/kh0WE+vys3t5HG/qAxB6r3xWd2yg0eu5L8P2NNTYc+eZ3I+pEIaKaqzBgPgnLlQZk3nkf732pke271Pvocy1jefM95FzJx2L6ZxF13wEESxE0IedYMLFgskpaZpCNDdrrRN+ne6CFqe1TJovogRa+fcY1mOILJcfaVF2b36BjMKJmPSfGXCDbhwrQpd+CRD955Uxau1qwcwv7YzwhCxeIZcq1+mjWFBUASE9bwfe+I+zOc2DIez1jrlit9XCUv2JHipuJ9DR24U1Pc/xL95sYBl2q6LmvseYPw6FymIyZyK3OwlT/aXRQz66Lai2tLV3YuWeL0s0guJF8ZTusBz8la8UVLgRyjkmNt4mLaYk2fP8Bx3yXcH0cr6jwwFDgueFWawMAcZ/C+Qq0aPXRyMoGwiJcn5Dal1ZcChLw1XK+mh1o9FypsTZ+ognazqNor+yDLtqA3Hj1FAVQs54TYx4A9mg9r+3Nc+zmO5C8cjFMOSBRiooIgQr7Crf8fTHxfSPiGo2hSdCHea1U4KuCgVTm3NtY4wodPbccS1g31VrMs/wr5xCkJ+ozn0HMhuCr5R7oOSYl3lJUVgpWhKejiKLn04HvhCf+9JwuQEBDm3Tveu4IOAmZLyQ0ei73WDMZp6CtPgVraC3mK01Ives21QVm1KznxJjzgFkRoL+vAqHXZvJ6f0Vppde/CU1hoaEnxnT1+DfX7qZcKjIzuCu5tyi1PnGHWM0RFccTBocg268+2gyPCBE0EUmM1BZ3sfc11viwnqq1VFR6X0qeQHBHrHOMDXrSp7Hbc02IgAggbzozg3sKhzdTa0jcLvj4UsF8YszUcsDXxFLh84WEmHMpx5o3klLCoE3VYWLrRuhVZsoBdes5MeYcofPKI+ujkTe3H1H33ct7H4OjA0hKTHZ5TawUFm8TY6KjKOTn2p1CGagpZzPQXT2hsFoDS1vxFtVovtIBQFi9RO8pKYHnVbo+YVi9GersDsWPntQKqhIQSPTcXezZxppQ7NF6mEctCDeFAOrTZ84MDowiKTnR/4YEAtj1XCy8TfqMjlpBYe4y7zri3mDbT1dPGCwB6rk3/bt8pQ2AsGBLZpody0uUxxwgcfXcNbDV1ROGHz3p/fMI1Wy+5lzKseYPuyH4nlZxQc16Tow5D3aYy9EZXYiofz4g6P2m6QnW16VMYcnPtXusuBlIpJw20N5y0sVkwWTBSP8A8pL95/GzfSahufGBYF0MRU+f8H4Ry5x7G2tCCM3OxNxoMUJeO42O0bWbb26amFa6CQQVIeY55g61xG68C3OXOa24yXWCIm04vZUi5MuyyXfq4Xh/D5aTi11e43oto9s6ZbLLVqjAYg3x2y9ymHMpx9paRc16Tow5DyhzYLVSS/I3itQS7nT1hOHfvum4481Ms+PrXzD7eQc3pMhJX2DkbAOOXL/Kii1+J+ZMmewu7w2G6jKBVG+hhV4ItNjnJ2QJej8b7vnmndNvwbJ385rLNy/ZmK90EwgqQgk97+gJx73fdEQB3VegpPFVa9wbXEsReoOpV77MaXlFpcvfF0xW53v55L4vmCyy6TyXqi5Sm3MlxhplkX9+l5ioWc+JMecJ3wmfTMxzs0DK6u9CyiPyxWIN8RBcNlETK+0jKopCfu6K3/e6m3CAfWa8eW4GaSkeL3t9XzCYdPpRa6DmfME0I3hCqLm3VdBxfZF4+wFM1aVh92wLWkYvrbm0FsdkIT+DjUC4iruei4UjvTGJ9W8WayhjUqf3J4KZ2SFAxLLn6zxTYOhUSG/vXeY5L8Y8NwOkrAYNXE36qhH0ZdIT9GFOnZdD38MiQjlpudCACm3OfSHVWPOLylb7ZKJmPSfGnCPhpgUgwAq6Q2ODKC3YFNA+hERDmNCi5o5YaR/5uSt45peebeRqxN351bNjsC175rh5m5TjzaTLbdC1+mjWz8wXtgiMt1JozAja0OI8SkRadc4Ds3pnu/tiaHAMpZsKlG4GQSWIoedeiRA26XPBZEW4Pk60lTDZUiEB/oac5v8+O4mlZc+8X4d2Of7PJYoutzkHuAda+EbNv/dkHAb6HNe4kIjV/WelLeOJ75gASDzW1ihq1nNizP3gXokFAWQI5GaK82iFTayY0Qwuk3ekNKzeDKmQ6LF5vhQd3cKGKXNVULE/b3raCqdJr2KktLgLvffV+lZvrnIyHYIk1pLQNCsxykxAkoPcfH5VlgjrG7H0nA2HnjvO546ecFis0s7n4QrXlBVvmOdLYez2rV30fv0ZdDHNuT895xpoERI1HxgOQ1MnW/tXA1xSjrW1ipr1nBhzHzBX+Exd2Y/5fXfBINIiF0KqsdAsm2Y8hIoZIfm3b8b6zBeU0rDS5aYCXXxHTFyj6N7TXPgssvS979jwkyfhdXt6/4FGzcXINycQCOqAvi4wc8fv/WailxtxVwJ9muoPIVFyD/1Z9kyv8QYXg8405473rGq62HrOB6HrUgQLoXNjSjdhXUOMuR92mMvRqS9E1O2BLwXdM9CF/KxC5+9C8su1+ijRBJjNoHMlJTEM9gLXmq8AkJm2IqopX7S1A9gs2v683ZT85EkNzpwP51X2Uc6qL3yFvnegE3lZjiRwsaPmABA+uSjq/oKBnq4B5BeKN2mWsLZx13OxCGTekdDFg3wtjsbHkLsbcXfdsa18CNaVP5eWXN7L7AN/Bt1d06XUcylzzX0h1Vhjw2ScQlT1EVy4utqnFtmyHFds1KznxJj7gTIvBDThk0l6coYo+/EH3xUohRjpn37fv5H3VoKLzyI8ERHSiIJ7FL2/TxNwLXapECL0acmOx3hSRM1DogWuHBjkpGes3TQdgvjIq+eeplGsWuYAe51u97QVX3NbHvtCh/N3X0EAjRc9D4kIc77PZpplNenuBt1X9FwqPVfqSbBcY238RBOs46/AXGlCnMorb6lZz4kxZ4GZVz7YUQCINH8gNka8qCVrOosIRlhMAi3BBQBhofGC38u1PxL0YS5Rf7FYMFkUE/LYGNexIUXUfK0Rq4tRugkEFSGmnrPBZZK3O2zXBSGwRcm9zm1ZmveqLeMnmpz/D7OYQM2xT2BcnrG4bBuanQl9UYKLSX/kj4Uu/UHXas/MDnHqeTClUIqJ1GMNcETKc9GNhb0ZmCjYCH0Ry5MNFaFmPSfG3A2PvPKD4uWVt3VdQUZK4I9WvKWzeDPC/lYvUxpf0eANmhpsKvCcxJGZ5t9Ii3FjADjy5vlMMBKjGosvuETQ2ruakX51rJFcc260XelCRpY6y2sR5EcsPfeGNyPc0bOC7z0Z52HOxUhzFDK5k1lJhGaqrg2a6iOYKOxEdOzVz6ADNHF7Ubxh1TCF2B01wpMThzGvewYAYDHbkHm2AuN9B2E45FhczmaaxUDfitdJku43JGIHWqTUdBc9X1py9mdW2mo+vtRjbS2iZj0nxpyFkrp0jOt3iZJXzkQf76hNG8jETyZcoyNcVi+TlaVlDzPu7SLwjftjUb5x2uN1x+NMx/8pisLTE4/ia0nfR0RSvMiNXRV5PuIsZuTGEfmPBZaWEcpYjtpX5EwfL219/LWIXoKxQ1i70HouNxZrqE89FxI1D6TayrLF7ox2h1lM0I73wBLaCNNBO7RllS7pEI+UX0HFNT1e9vQ1AMDA+Tfw+IYj+EprN6yHKzC/7y7oixJYbwAAODVRyEJFXKB1n6um+0s79J0S1MX69EGpsaZm1KznxJi74ahXDlAlFaLvOyNlNfIb6MJCdHRErEeXYuEiSkvRYBtioRGhnMU/zUuUgPn+tyaO4E3zKyiN3IKbQ/7J7/H5EB1FITPNdcKP3ClDq5F/98/ifbISW7+Jmc6yrNMiZGQaVGq8KPsLBjIy1RldISgDU8+DBb7XBV6GfGkJgGcEP2RuHJrZF6BNjARigd6SOYTrddBt3oHkeNdVyAzxGthmTS6vaXSuc7jqDDF4r2MURdePYXfXaWRXDWGybS+AT3ltmucEUc+1LwAgKnIFKYlLHhP/2aqxpCQu4dsPONZs4Bto8dWXXMrduhOMYy3YUbOeE2POYOCNwzD3mTC3fLsk+29orcOhvTeLtj8lzbmvqAAtSszorlCaWmtxcO+tXv9OURT+NPxbWFYW8Je55/BPuZ9CSAj/x5i+Jsy6m22xUmSkxL3fxExnmRi1I862gv7Z16C5bp/HxVetNNS14tDNe5VuBkEliK3nYsG8LnDZ1h+0boRExLP+fTnagulP5mLR4JjYqQOcmuBuwhu7R3Gw1HXSlm1idRuKonC48RVYlq14c2kYt33m6xj+4CS0597AytgNYF1IZGnJ4/NkJFqBgnAgwlWnHXpuAUBXcnFMFG3r9DTe9gL+FcYCqsaytOQ1cBKsYy2YUbOeB7e7kIle4wlQ55qhaYlGbsTtWNhxAHqR8sqZSDGBYzVSMCNKhNgdLgbcG2JUE3CfxOjO26ZX0WftAgD0WbvwtulV3Jb0cQA+bgyWPGvpBmv+vVD89ZtQ9EUJMOEAtNWA5expzFInYCnrC8rZ+xRF4YmLv8N3d32J082amicLEeRHjgl5QhGrhjZtyjV63dWcZyuWZywItU5iMWoRYZHhKNga53L+22ZNTkNOJblGw2PjPM8x5jZvtZ9E39wIAKBnZgDnB1rxT3d9Gb1lJ2A9MwdM+m4n/ST68e/PueTb+1pB1Fs+Ot88daGroXIhmMeaXKwnPV/XxpxZfSW7owALBXcg+lA5pFrgtzS/DDbTbMBpLGxo9VHIzqbQNbACyyL3SLVYURU2vOU/86Ek3/syxHS03LrieCxpXbHgT8O/xa36jyEkJMTHjQHl8rn5PG340ZNadPUEUb6+F3z1W6DoixKAorthOZaATGMjuvSjGDMYgy5yfqyzCkeMx7EpqRh3FN7gd/vSMrK6HoE7pfllku4/M82Ojp4VRVb9ZBpymu/c3QFt9SlMLZ2GrcwC7V23upzzzOi4uyGnKdnk/RyjKAp/ajwCq92h2Va7DS8a38St2XuRlrIVuVtCEBbVgZCZFYTbo0FtiEXYhihkpVHQ6HXOCi7eyisCnlovlp5LacoB6ccazcSoHVbbMCy2bowZYoNK09eTnq9bYy5l9RVvXDh3Cge2HZRs/z/5zozHxBK6pFRGoueESxo5Vyjjm05xqbbKa5+9PXvMGS2nYUbNfd8YeIo24N+kDwyHwSJDvXNmHruQC0dt03kc2HOL2M1yISQjDVGD/cizhGJU0iPxh6IovNB8BJZlK15oPoLbCw76jbLUXGzCDTftkamFBLVT03QRN+y5SbL9s+k5jZg1zN1hM+XjJ5oQ1V+FnuwGxGbrkXvn11ze4y1CTjNndfz97Pu12HfTNtZt3u06i77pAZfX+uZH8dZUIz6aWIEnn6iFRqdHr/EEZs5dRkFdNhbT90K/byMopDDqoLtGz30ZdDH0nIspZ36PHT3stsvb5FZA+rEGBPfT0PWm5+vOmNNR8tnOceeJLXb1FW9oIjSSRMuZcDGjcuHNhPOZgLhBH+91+8bZZhRGFCIEqycoBQr15g+d6Sz+YIopX5MuJd7y2KOjVlCY60jF8XVx1mgiJWsbzUpM8C7gcKyzCj2zgwCAntlBHOus8htliYz0v+w5gUATKcM5JsZTRz6wmXKTcQoxox0IzxtF8o03eNS39mXKaUOuiXP8TZuod/7fneapXhQk5YOyr+aMh4ZGoH6kGbcVO85d24QJaSlbEX1XNsYLqhF24h1oX+uBZeseJFSWONvOrH/ubtCBq6mfQEDpn3wmznqb8OnU86UlZKVRXt8vx1gDXJ+GZtVdRGeQPA091lmFnhnHTVvPzABev3wUt+Vc6/y7+wRiQN16vq6MOTNKXryyG/MH75Ikl5wNm2kWW4srZTmWErCZcDEqgFSWbff6tx/kPebxmrMUpZflnX0RiEmnq7dITWHuMp7/pZdESwZby3ZK3pZghY6uWJcXAQDW5UVOUZbK7fI8LiasDXxpUyAw0zHkgs2QM9Hr5tCesYRMjqbc3ZDTbNnl/Rz77g1fdd33jGMfMVGr+6CS9AiZMCE+NBHJ++5Bb8oJDLTUIa1qCJODe5F4+wGXz+Ge3kLjz0h703OuZX65Upi7jBe+1+b3WinVWPMGVVKByLZ+5FlmFH8aSk8Idklx6j6OW665w6nn9ARipkFXs57Ln7ymEGPTRlCjoyipS0eU/k5E3XevrKYcAGoGjbIcTw5CTOMuP4BDDJk/YlDddJHX9mxtYLaRK1p9lPMHcAiyr3z8/FxlVlf1Rm3TeaWboBjMaDkNHTX3RfWFJp9/JxCY8NUmLiixOq8vU24yTmHDmdcxvNSA5UTXqK1t1gQqSc/ZlANA3Tnu55gmzhFdn7OanPsE4DymbdYRPdddfwjjn7AgRPMerIefx1Rd2+o+/FwDvBUIyM9YxPe+MOzUfab+u18bAoJRUcYXUow1Tkwrf0071lnlnBBM0zcziLeNq3pOj0HmPAc16/m6ipjnDcciUpsmSY1yb9CmnNIbYG/3rAaiJtyFTY6LiN0eWJ8x22gTEEUH3KIiS8tQw2nD1m+U3gCbaVz87y0IxJtJ3VgzihPyWF/3lc5it0v/xIOwdghUm5TGX5R8/EQTtJ1H0V3Yieit6cjdd4/zb+5lEGl8mXIAsC87zrHJFc/3J4ayv0cTp4dtxmHO/UXPTQKi52zwWWsjULjosRJjLSQ6DsCw7Md1p26sGYVxWQgJj3C+RgEuKU7A6niwzZqg0elVrefB7zBEYGzaCNsHZzDdvoIFi3y5UkxTDgA7t+6X7dhiIaYZNxmnPF4LnRvz+Z6SkGSXCAjAntvM5emHu0DT8DHp2dkUQiMcj9ToibWAY3KtqAR4AyDXWAsW8Wbyg71f9XiNNhLeDAUAXLMl2/l3tpxFAoHJ7q3X+t9IIFKmszC1z58pH6/sh/6uu1irr/CJlAMOM16wLxuTKyZsiHLdZt5qcpp1NoPuz5zbZk3IKTqEMUM2xvXVsNT/CdrDPc5VQ5mflTk5VIySvnIg5VjzhqNCyxxsH5wB7lQux/wHe7/qfDrjD+Z42H3tVukbJxFr3pgza5RrIvZLVqOcibshp2lqrcWuyuskPbYYiB0ZNxmnoK0+heTwdta/UzHeC1S29fVib3bOatvmLB7bzE7bYaneyPm7dY2ie04S8oW3yViOnHTX14RMHqUfl2akRDhvAJhwvWCoZaxJibsJ9yfsjR/UYdd1lU5hZ0KMOsGdhtY67KncJ/p+2Ur/iQEXQ04TZjEhoyQGE3s3sU7883YueTPlND1NY9h+0HOuFW3UaYMuxJwDVxc22leE3pQTGDl3EZpzjRjvuw+GQ+Wr+2H072NfkCef3+MG4GoKS3a29wmfTKQaa95wr9DSM/U0QvZuUrRCS8gEP3PeUNeKPfvUOa9vzRpzuWuU03gz5QBgsQbXI393+Ai3L+jIeOjcGKjBYUQNncNoZT/G9vKvrd1z1o60a5l5gBs8tqFGR2GpP4bsqiuYbNuLkIw0Z1Tdn1Fni6ILEWr3x56+Vt4L18f5Xbjp8e/P8W4DE7nG2sSoHWG6ZSy1tgK7g6fmrb/ybWxYFqxe38NcnRAgRp0g7Tkmpjnnq+tTdW3QjvdgLH0GgKt+eotczllNPk05HSW3zrMHZ2g2ROk5mXN3qCQ9bBMm53lJR89tCWeQeuktjJyAhzkHAtd9rrgHdEJ4phQq4R3oCi1zJwoRV3cUUwl9ilVo0ej0Pp92ukMl6WGeqJWwRdKyJo15f+f7iOjtk7VGOeDblANARdkOydsgBH+5hlyhH38mx6/WY63L64ZurwHazbcKOqF1+u1ISPQTeS4CelNOYDjLCH33e0gyOj4Hn0i62ELtOz9xERqJ8xflGGvMqMqs+RiWls3Qbt6haGktLouceKNih/dZ/O77IkadIHWlDG9l//wRyBNPWsPbK/ugyzVAa8jm3mAObN7tv1IGbc69oYnTY27GNWpOQ+cXA47oee/GPsQOrmDczL4/uQ06wH8tD0D+qixMDIfKYRntQNaiUfEKLVyj5gBQUVnsMh7UxJo05kutnci+kClbjXJ/hpymp78DCX4e9clJIIbcPV98w5nXsRTaiPFKCyYYkfE4bA7o8Vd3Z79/Yw5HhARFh9BrPIFZxuvUuXdhuBpJpycD+UIJoZYCX2PNZpoVbQIoHVVJOZYAwz8uohPVGNsMRcy5kCg5k56OfiRwTD9iHsM99UWNFwICf7r7O5EQlyjpMbzNi+H6Pj7Qpnz44Cjiyjx1m0/E0ht97f2IT5JmfQhmSguTsdgZaLt6MFXX5qx17o5cui/0mivHWPPHZN+cok9G6ag5V3PePTmHhIRYGVomPmvSmFeO5GE8fQcnIxYoXE05AEzP+q8/LQeBRsjpVeDiE8MBqxkAULe5G7oCA7SbD4hqyqYmZ/1vxMD9YjJmcCxEkfD+MVgPuy5E4Qs5hNrXqn6BLizibaxReoOgiI0/lK57G6gpB4BpnmONhpj09cmUjHouRwUsZ155mc5rMCWQ82veasKMSdg5xhW2lJZenMBSrGe1FjYC0X1/eh7IdVfOscbGwo6r+eavnUZP29PQ3iXsCXig8DHn05OzQEGaKqPmitcxHxsbwze+8Q08+eSTeOihh7C8zF7d4tvf/jZCQkIQEhKCe+65h3UbmrkxK+zR0n8RfEw5AJQVyVem0RtimXLTpivoOzCHrs9sQNdnNiBu72bk7rtH9JN105bV/VEUhZ9deBYUxW3CDOCI3ObuuwfTn8zFwL46aKqPYPLYKc7vd6+HLib0anDuP2zizhfFxpoCpRPFMOUAUFYR+Nilaywz6+rSP+sBKfQ8WNlUtEXpJoiGyTjlyCuPlWalUTpfPHtTkvM1iqLw65Oeeu4rjYWGrm/OhZyiQ85a52FLxzjpP9s6GP7035eeB3rdVXqs6YsSEH3P3YjIvA+GuiwsvP42eo0nFGmLRqeHRud4OsL2hISmrKKItb65GlDcmH/qU5/C5z//eXznO99BVlYWfvKTn3hsMz4+Dr1ej/HxcYyPj+Pw4cM+9zm3XIjQ7EypmgybaRY20ywovYFXFNU05bs0oNSIkUseZjEhKw+IKMlDxu47kFN0yPkTKEwTQ/+M9PQ4///65aM4YjyOY51VvE06U5wHUv7ssRCFP2ihFrJYkRL4GmuOeubiR64cpROVIVBTDgCmMc9ynoHgzaSvZaTQ82BlYmrceS1QM+MnmhBV9Vu0b76AoVwbokXOK6dJDNVjanQG81YT5q0mvHelCm82Hcd7V6owZ5nAL979FeYsE85tfWHzkmPujeT4Img370D8zlxebfa2WB2va8DVCiyBXHcnpoLjmmM4VI6FgjuwdWEjwk3KFrOgo+DezDmt52o054qmsjQ0NODKlSvYssVxN3jjjTdiz549+MEPfoDQ0NV7hp///Ofo7e3FhQsXcPvtt/vdb/Q/346YDdLkFtEi/MgfC3mnIYyZRqDUIrFimHLmbP1lfeCTabmUsxu1tGNjkh4UReHFU8dhWbbicOMrWF4w40j7O9iUVOxz0RgmzFJaA/F10J5rBDV4J6+UJ6ETsuSGy1gTM9cccFRoCQ+fkTUPUUyxHRsxSXZ+0mObmeqitser/pBKz+Xgu0/q0T/seTnMSlvGo1/oZn3PUE83ioodk6xtfoyaEit6coFZrzxub2DzgWwzviuzAMDi6DISQx16/ucPX4F1yYo/f/gKFm1mvNfyPipTt+CWUm567rMtPtIXtOO+88294a3MrpOlWAAav+8VwphpBEDwPKEJ0cYCsCrdDJ+pLUw9d198KNhR1JifP38eaWlpzt8zMzMxOTmJzs5OFBWtXthTU1PR39+PT37yk7jpppvw17/+FREREWy7lBRm6gr92IplK6/vL8hxCIGUucVsiGHKJ4+dQuTQuYBn6/OtmlFQ4qhh/raxCn0zjmXW++ZH8V+tR2CxL+Jw4yu4ybAFISEhnE84upTWgr4aE51/RuTvz8G24+OchVrISnJyQ481b4ida64vSsB4XyGiuvsxa2+QpUKLWCksNPRYkxJmW5mVXdRwsfCH2vScSf9wOBpbPcsEUEvzjn9ZzvH8zQ5T7tBzz4l5zNxi+toRjAadrlceiCmPiXKklvgz53mljnPseFsVhqYds1GGpkfx0oUjsCxb8fKlI7i55CBCQkK87oOtXKI7bOdTcnwRenL7sLTPkW8+PnmHSwlFPvD5HkMiAk9NLMwpDngfYhGanYmh6g6sdHZiYOwwNNftU7QSlzdz7q7nTHNOvy9YUdSYT05OIjFxVdA0GofRNZvNLtt94xvfAAD09PTg0KFDePrpp/Gtb33L635v/+INWLYvg6Io3PvxL2JzcQUs1gVUlm1Hd38npmYnsaloCyamxjFmGkFhTjEWbYvoH+5FVloOIjWR6OhtR7I+FUkJBjQbGxGDSOSm56F+uAvRUVrYV24EcBqOLrwewFkAVtjte1DTeA7muRmUl27D8Gg/TNPjKM7fhLbOZnT2tqGj5xoYuzUA2gDkAIgH0IAFSyImJuPQ1FqL2Jg4lORvQm3TeWg0kdhathO1Tedhty9j59b9aGqthcW6gIqyHejp78D07CTKiipgmhrDmGkEBTklWLQtYmC4B1nROsQk69Fx/oLLZ0rQJSIvqwB1LTWIjtKiorQSF+rPIiwsHDvKd6GupQYTPSbsnRhFzcw5mAoWsal0G2YiitD14QRKNupgnp3D0OAYcvMdqUM9XQNIz0hGrC4GbVe6oE+KR0ZmCmrPViNWp0VJSQ5q2gehidRg604tas83wb5sx879W9FYcwV/vvQ6fvjZb6KncwDTk7PQxkRjdsaM3776IqxRi8AyYJ1axEjCOBAOdBuH8Aftu7grfztaTtQgPiEWxVs2oa6mBdHaKFRUluLC2XqEhYVhx+5y1NW0YHHRhu27ytETthld1DksbuvF7MnHsfRmKsq/+BWY52YxNDaI3Mx8x2ca6EJ6cgZiY3Ro67oCfXwSMlIy0dBWh2h7OEpySlAzaOT9Pc2a5wBshSPy0AmgAEAUZs31aGmPgT4hGS3GBsTrEpGbVYiGlmpER2lRXroNH9afRlhYOLaV70F9y4ew2RaxrXwP2rqaYZ6bQeyGOEzPTDrHnnluBsNjA8jJLAAA9A50Ij1yA2LHY9E11b/6mVrrEBujQ2l+GWqaLiJSE4nKsu2obroIu30Zu7dei4bWOvbzKYtC53Qmyi4vYbCpBf0bX0XetbuRZihCR3svklP1SDIkoLnRiIREHfIKsjh9T60tXTDPzqGishSDA6MwTUyjZGM+JocHMTS3iJwCx9jr7RxAWmYyYuNi0N7cBb0hHmlZKWiqbUVsXAxKNuWj9nzT1bFX5jL2mmpb0dXeh1vuPoCejn5MT86irKIIprEpjI2YUFCSg8VFGwZ6hpGZm4bISA062xyfSZ+cgJYGI+ITdcgtzEJDteMzlW8rxYen6xEWHoZte8pR/2ELbIs2bNtTjrbmLphn5lC+rRTDTUZMmmpRXJIN60qEx/kUr5LKAmrSc3fts6/cDOA4PPQ8dA+qB40wt9UI1/O2VT2/9O7r0ERosHP3ddzOqQA+E5ueL9oWsb18F1q7WmCem0XmfDRq54ZQfdaK8KjNPvW8ubYBiQVZPs+ps++fRUjkBmy/bisuV1/BX6pfxyOf/yb6OgYwbZpF9IZomKfN+P1fXoQ1clXPrVf1vMfYh8PR/4Pbd34EV+qNiNfrkFOUhcaLLYjSRqG4OBmXzjZjgzYe2/ZoWc+pLXkpGO8Yc+qEy2cKKUbTyjQGi7thGD2M2ifioa28HmXbNwamfVPjmLVaAVTCXc9nzHW43B4V0PcUu0GHqZlJmKYnUJK/kfs1KsDPxDr2NkSiIW8DNF3XIP3NGpw+9zzidhZjz4F/CkjPuXqJhrpWxOpiUFqWj5qLTYiM1KByexnOV52FfXkFOz66n5Oe24z1GOgfQ2ZWMmL0yZJco9g+Exc9D6H4zKQTmT/84Q84fPgwzp07BwCYmZlBfHw8uru7kZuby/qeV199Fc8//zzeeOMNj7/Nzs4iLi4OF/7WJHoqC51TTnPvNxNZI+blpTY8/0v2GdSnzr+DA3tuEfReoQQSLacfc/YVdiJ6azpy9wmbpMU1svlW+0n89PSv8fD+r+K2YsfjzFPvnMdCvgWPnX4a1uVF1vcV6/Px8sd/45hMNsH/bth9MSrrwX/ntTos30nANFI+OaHHmj/EqmHvjvXw84i+aQ6jO7IliaaIHS0HHGPtwC17RNsfX7yN3TnzPHZv/gRmZmag0wVfxJVGTXruzj3fTGGNmEuh51Kdc0KYPHYKBekdqN9l9Rsx57osOj0p8+RwA548+Wt854avOtNTPnjLoedPnPSu50VJ+Xjh07/xiJrTkXJ/ueUhE/7TFUzGS0iqH4R2pBR92ftFWQ1cSDoUjb+xcPL8u7hhz00BtU8Kxk80oSi8Cg03hiq6KigNc4zy0XP3PHUpo+lc9FzRiPnOnTvxf/7P/3H+3tvbi9TUVOTkeH+kXFRUhNTUVDma58TdlAslMy2X87ZM09Y3FAabzSFSmggK2Rn2q/vjZuCEXAAsL7+GpaXTGK+0QH/XXYLNFVcDRVEU/tToeJz5p8YjuLXI8TgzMzcNfxk5isLEPIQAmLLOYHB2BBRW7yf7ZgbxtrEKtxXfICiXjJl7Ph7bDEPVbzHex/0x52pqC7+0FinSlmi4jjWpyicCkLxCi5imHAAyc9P8byQhanrUyoZa9FwshOu5AbarnjRSA2RnOCYHZqUt44nvyD9BbRTDcF/h0xtcytTFROlhtkzgv6tf8UhPychNw9+GjqJAnwcAmLbOYGjGVc/7pwdxvK3KJdecqynnit0g/o2et++OS+DG3xyFVBmqzAVCuGkBCJ6FnwHw03NfJW8B+bVYUWNeUVGB3NxcXL58GZs3b8YHH3yAr3zlK7Db7Xjrrbdwxx13wGq14vLly9ixw5HP9/e//x2PPPKIbG0Uc8Z9pCaS87bectgtVqCplY6yes9nDwSTcQrZKWHQpqZi9COlkptywC2HnGG0IyM1ePi6rzq3++kHv0ZbVBeYsRQKQP1IszPK7pyFzSFywsRR8xbIWFhBl5eV4nzhmBgaHDnnfMYaIP5EUCoyDoA0VYikml0fGck+cUtO3CeJqsmcq0HPxUQUPV8Epp16Lt9kOpNxCpqzf8JodgNmc9M5zRnisyz66f5GDMyOAAD6pwacRlsTpcF3b1jV8ydO/hrGqC6P9zcMNeOGtNWSr1wNOZdouVzweZLqbxvN4pxXL6Lkk5fQ7EwMV2chZvIsepZfVnzlZyZC9dzdryixNoXiCwy99NJLeOyxx7Bp0yaYTCb88Ic/RF9fH7785S9j9+7dMJvN+PjHP46SkhLs3bsX//Iv/+IzAiMFbCdNZpodbMbY8To7nb1tyErPE7NpPgkxjQs+aSlLYNFcPqacjpbTjzaty4vOqHlnWy+y8tKd2zJNOtd28D2RxmJnADMQMj0KKj6F13uDxZzzGWt01Fxscy4lYkfLAXiMNSVxiZ6HSL12sXioQc/ZyEpbdkz0dJuEGkx6LhbMtSi0eyt5pyD4i5o79dzuuD5a7Tb8d/UrOJi6Bcbay0jRRzoniDJNOtukTj4Rcl81rZVCrOtAZ28bslhSE5kTiwH5TTq98rPlWAIMfzuHYdMJWMr6giKtRSw9dx/rNhnSXngZ86mpKfz4xz/G8vIyOjo68MlPfhL33HMPvv3tb4OiKExNTeGRRx5BWRn3omM5OTn4/e9/7/JaXl4ehoaGAADJycno6+vj00zR8BUtF5KGkKx3PLIVYuoVIV4b0Nu5midmtJyGjprnpgqvRy8krSXakI2h3FHM2v+MyL9k8843p1G6Wgs91rgiVUpL2LjZMRdOJKSsRZucGhyRNhrn+DVLs+rfetNzXzzxHRPvlEXV6TmD7E2xsO3dB33RNbzexyVqzqbnA+ZRnO5vRG52rqOCi5fKKkJTVfjOLQobN/vfKADESn+l8abnzGMoWf0n8fYDmDwG7DB3oD4IyigC0um5t7QXMQ06Z2Nus9nwwAMP4Oc//znS09PR29uLvLw8vP766/jVr34Fo9GIj370o0hISMBvfvMb0RqoNGKeXPqEZADS5haLQehcYCkIfM1T/UizM4echk5P2VYorJyVcz9XzQ1XXPLN0QzNuUcx3ncfr7JazFrnSplzeqzxRdSoeaw0E/akiJYDgD458AlgYkMl6YE58XP116uei4la9FwKfEXNuei5WLnidFsAAcYoNhYYEa0ZTqRYcIqLntPXmmAvzykXcui5VOtTcDbmzz77LB544AGkpzseDURFRYGiKOTm5iIvLw+tra0oKirCpz/9aQDA8PAwnn76aaysrKC2tha33HILvvWtb/msTxpMSHFytRgbkGKQ51G50DQWuhLLhco+6KIN0EJYvXI+5slXekrV2+eQkh6YuaWS9ILyzccM2UjRtmJMgHjT5lwphIy1R/5YiIG+FY+6u0pNSnNH6pXbWhqMAY81KaD0njWyA2W96bkUyKnnwYSvRV0A6fWciRBT3ms8AepcMzTNGzGWlQeDCBVZ3BE7IMNnrNHH/t6jkRgY1QStnkuNnHou9twgzsZcr9dj//79zt9ramoAALfc4sh7uvXWW3Hrrbc6GklReOSRR/Cb3/wGWq0Wk5OT2LhxI2w2Gx5++OGAGiwnYp9c8TruF1jm41FfVVnEwmScgrb6FKyhtZivNAleBU5s8xSfqPAdf7wWYd3CP5NSUXM+Y41mYDgMTZ3RLH8JjkeTgPjRcoqi8PNzv8O39n5J0bHGbIccZnc96jkX+Jyvouh5uB05mQ4dz0pb5tfYAKAWzACEn0v+zLk3xDzH+JpyuixuXM0Kogd3YX7fXZKYcikQpOeTG9DUyTYBMnj0XGwoisL/PfusYnpOP6FfnJnAL6/8Dd/dJUzPORvzz3zmMy6/V1VVITw8HPv27fPYtqOjAxcvXkRbWxsqKyuRmJiIm2++Gc8888yaE3I2vNWnTtZfg8rN3PahxOPRpJQwaIsyMFGwkXfuIRMxzVNuYZYo+xESNQeA7uhRWLR1iH55Cgs7DvDKN1ciak6PveXlHQgPXxVzqVaVlQupouVvG6vw99bjKDMUY0/hNkmOwbcddHUhKSF67om381VKPQ9kgn6gBFoyUIg5F0vPhaav5FlSMBa5D9F3pyEqPvhNuRr03BnUWzqN6hI7IhSsm/h23znF9ZxK0uPt2jdwxHgcm5KKcUchfz0XXJXl5MmTuOaaaxDLkkeq0WgwOjqK9vZ2VFZWAgCSkpJgMqnj8UmgZspbaaycjIsAPC98YhPQJD6zGXZDhniNCZCG6hbFFn1h5puPnnsXYbW1WOn7lIB8c/5Rc6GLD62OvWoAdzH+Ik1pTTmRIlrOrJ0fvSEKB2/d63VbqSLa3mr4y8la1nO+uEfNldbzYIavORdDzwXnlF8lzDwNQJo1C7x5h7Wq53SFn57sBkRvTYdOwXKJFEXhReObQaHndDteaD6C2wv467kgYz45OYmGhgb8x3/8h8vrzz33HP7t3/4NOTk5mJiYcPlbbW0trr/+eiGHUwQp0g9CQzeIvk9vrJVJH9Fa5UvF5RQdggkJSEqZhdbYjT5jJu9KLe4Xe39C7c0McBdk+caaWnGvnX/Z1oqDYBdyKSPa3mr4y8V60HOu8HnKJaeeBzN8zHkgeh6oIWfCtwyuP+hVP6mlJMcLV8turgc9z94Ui9mSEmTsvkPRdhzrrELfnGNCmOJ6frUdPbODONZZxTtqHsplo/HxcezcudO5EMTx48exsrKCnTt3umxDL8Xszocffojq6mr88pe/5NW4tUZ09C6lm6A6yreVirYvKon7Ahnu2A2xgFlYiS22myRaqN1/2My6MHaLtB/l4boUOB/YauefoapBUZTXbelIDNs2YrZD7GO4Q/TcP1yeOhI9X4U2y/4qYAnVczFNuRT0D4ejsTUKTZ0bHD/rSM8d8xUUbgNF4YVmRu18pfWc0Y4Xmvkfg5Mxf//991FdXY2IiAhYLBa88sorSE9Px9zcHABgfn4eX/va1/CjH/3I470LCwv4yle+gr/+9a/YuHEjr8atNebnT0p+DMmWV1eID0/XK90E0ZD3uznB+x2ZaXaUl9ocPwXz2FJqxZZSq6yT0uSCrdZyb90A3jZW+dyWjmhL2Q6xj+EO0XPfcH3aKIeeqwku5pyvnodMmJyreQarKZeH4NbzZX1ga54EyrHOKvTMKq/n71w6ir7pAZfX6Kg5Hzilstxyyy34whe+gLGxMXzpS1/C448/jtnZWTz88MN4//33YbPZ8NBDDyE727W0HkVR+PKXv4zHH38cN954I6+GrUlC5FloVanVPqUgLFysiIMIxGtBdQvrI/kngvIfa8xcR1EmpZnNAALbh1STPulay9PWGQzOjiBDl4owXRjqR5pdHm36WpVWjNxEXzWfpUpnIXrODb8VWkTSczWtuOsPf2ktfPRcyii5kFWdlSUI9JyFMIsJkGa5Cl7UjTWjUJeJ6cU5DM6PKaLnIRMm1JnaUJyYz9o+PuksnL7tmJgYPPfccx6vnzjh+y7u0Ucfxec+9zmniP/hD3/AF7/4Rc6NUwIxzJO3leBSDdcCCN7V4AAEtNqnFCkH2/YEtsCQO0KrswCOCi0JSz3QVsfABH4VWgDhE0H5QI89+8oehIXa3F6Xn0ArPwDSLCj08HVfBUVRuOfIg6BAQRsRjV898BA2xERjzrp6M/Bu11mPCIiYeeC+aj5LxXrSc6Ewb6Sl1HOpVtxVElpbbSzmnIueS2nIu6NHEWYZgPa1Hszvu0vQqs5yEmx6zmTy2ClYTW+gRuFKLADwg71fxeLMBD79/g9BzTv0/Ln//Z/YEOPqZ3w9oRSq58wnRD8+8G1B+3BHshDuCy+8gMnJSSwvL+Odd94BANTX10t1OFEJ1Dh5m2V9rrYKwMGA9u2LtSTw9Kzpvbbt2Htwu9LNcanQQp17F/qz/RjvO8irQguN43vyXZdW6DLf9Ng7V1uFvdukG2tyIPWCQi6PNKcH8OKbf8fX73/QZZvmqV7kJzhKvIWFOiZ0SR3RDkbUrOeBopSeqx2NzhEEAYAVfSInPZfSlCfHF2FsM7CAanTXn0bm2VnBGs6XtaTnJuMUNGf/hNHsBkTvVbYSC41t1oS3+865pKg89/f/wdf/9Qsu24nxhNI9VUuKsSqJMW9vb8f9998Pm82Gp556yvn6v/7rv0pxONVgsy1Kfoy18kiUnjUdEhIiiTEXujoXXaFFpx1EeEMHTDwrtNCRuMzEeYBlHhQt1IHWqA1krIlxgxeyKE5alBTRcuDqZKH6V1YfadpteL+/Bl+jKJdHmt+9YTWibZsxibqUuFoges6OHHqudujUlncuHfWr53JM8GQGWKL+MYzwQf4azoYjb9t14R5qyY7MNMc0PiX1XGxW+gaQlQfMVipfiYUO3lAUhRe7j7ukqPyj9zS+Rn3eRc/5PqH0Nl9C6vkOkhjz4uJiLC4Gz0CSEj71SbeVK1OPW20wZ01fjK4D5WaWAt7/1dW5hEKnZ+h1c1gQ8H6NXofHHnCkR0iV1hLoWBPlBi/I0qKYvHblKAZmR1xemzRM4XhbFW4p9R45mbOuP3O+nvScLnsHwFH6zq3sHRMx9Xwt5Zm7ExGb6Kzr7E3P5a66Em3IhiZpAXFmYRruDtsS93QqFIXANT6YvAOdV67UhE/mk1T6GvFW+0mPFBVT8pTfFBV/PkCpCcfyzEZcw/CpT9rW1YztW9jragbKWkpjcUkxaBuSpK5zILnmANCdZkZC+1iA+eazvJYA54PQsSbGOLIefh6ToY2wRW+AFtn+3+CG1Cksc1YTmkbbUJDkOklnvn0eDUPNXo25Jk4P28zaXFSH4IAue+eJdHq+FvPMmRzrrELf/CgA33outwmiNXzDGTtMED/fXEyNl9I78GH8RBO0Q+dQc3BUtrxy9+sBW8CGLUXF3D7vkaLCZsSDsdoPMeYyYp6TtupJIBGX0LkxIDYGgLKVWdxnTS/NL0m6GqKQlBb6cehg+FHM1hxDpsB8cynNua+x5vUpT+I8HntA+DiiV4EbyHGsAqcVkHvofDQpQbScntSpidPjoVs8J+m8/+Y5XH+D8hc/gjqQWs/XAs760jLpOVfofPMpVMNSfxrZVUMY77tD9HxzsapxCdJzP6uK8sFknIK2+hQmUo8h9gY9dNcdkjSvnIsZZ8KWolL19jkcvM6h58FeB98dYsxlpLx0m9JNCHo8Zk1nSrcaIp3SIjTfPGP3HYjSZ0BXLyzfHJDOnPsaa16f8hQsCTblJuMUYkY7EJ43Cl2AuYdSm3JvbN4u3mJWhLWP2Hq+FtNZPOpL+9Bz2ozJZZ6Y+ebjsc3QtByG5eX9WNjB/wmo1AjSc86rivpHW30KYUVXoJNwhU+2FJVAoBezUpspBzguMEQQh+HRfkn2u5Yeg9KPpMqTS1GeXIqC0BwUJuahfqRZkuPRAhDQiqBw5JsLRaPXQaPXIcQ0Ltp3KWSshUQEVjNer5uDJikOEaXCDK5UeeVcTDkADPeNin5sMQgxTSrdBAILYuq5lCVUlaRurBnFCXkoTyxAeWKBVz2nkvQBa7FQcooOQXvXrVi5Nhw9qcegOfsnjJ9oEm3/tLYHglTegQ+R2nDB2u4N26zJ+UOPAbGuAcP9o6o05QCJmMuKaVo6Ax1opCW6/jwGM4yYiQ4VlBcsFu6PpE69cx4HbpF24kugkXOxchWZ0XMgsIu1lGONDW31KQxHN2AqLRpCpgRJcTFm1iP3Z8oBYHJ8WvQ2ENQFtcS9PrTc55ga+cFeh57TxsufnjO1GJA5en5nEQYvHEVU2Kho1VrEQoyxFkxPZMSOjrNhGp8GcpJVZ8oBYsxdsJlmeZshPvVJi/M3CW2aZIiRFywlxZs8V9GSAqHmnH4c2oOXRclVpIUz0PQWucYaXdN2IDu48sq5RsmZFG2WZ6zxIZDqQQR+2EyzyEzROSuxMFGLngcjTBPGRc9pHVDCoEeUlkLT3ypatRaxCHSsBTrBWKzyt4C084iYyOUdpIAY8wDhM7nCPDcDpGSJevxAltoVMy9YKswzc0CWPEsnBxKtyd13D8Y2GzH8/glozx2G9fCWgFaWWzXoq2LKx6T7HGtLSwDYchL5QU8ICmT8iC3SfKPkTMwzc0iD77GmidNjTuZ65ppY34tREQKHnqD3k+8vAuBWGlIKPV9ruJ/ffPRcKYPenWZG3OCMZNVahBAUYy2A8reAfIacxjwzB0THy3IssSHGnIHUS6YPjw2gpGBzwPtxmYW9FOvMDc5KW2atp+qLpJQwLASQF0wjVV7g8MAYSjYXSLJvNtwvBnyj58l3FaG37AS6jwuPnjNrKeOqUaSW7MhMseGxBwY4jU/3scaMlmSmRLLmkzsWyeCHXjcHi8DxI6ZQB2LIaUb6x1BcLt9Y8weJlsuDs940T90XXc8ZWg4I03MuhFlMCEmXrwY18/wWoufM99sY54SUq4POoBr9CRdQIEK1lu8+qUdfX5LHkxg+VVN8jTU+T+2VSmeR25QDjrFWmhov2/HEhBhzGcnJFOei7zoLmxn5tLJtLhuBnHQUReHn536Hb+39kksZrZyCTDGaxr89AeSd5xQdwpghG1MfnEHoWf4z/b3VUg6JCHPePHq0181U5MYkejy6pAX5P78/CyDwEl4hbQ0YXhKWVy7WRE8xDDlNdqEyY80XGp0eNvO80s1Yswg15YAUeu7+FEtZPQ8EiqLwxMXf4ZsbP+HyeqB6LkcU3aVaC5phqDsKU7bwfPP+4XA0dXKrje8NX2ONq7lXql6+EqYcUM47iAEx5iIiRz3Rtcrbxir8vfU4ygzFopdFFEogqS3OyUTJRzHa9i70Amuds8EW8WAz61JFRkzGKURV/RajhZ2888qliJIHasiDERItlx5/ppzouXCOdVbhSPs7KEktxm0G8fVcDoOeU3QIvQB03fOwzY0BUD6lRQz4Rs1DpkdBaWMA8K88ppQpVzvEmIuIv3qivQOdyMsKnomVwQK9qJBl2eqx+ERv5wDyipTLrQsktQVw1DofKzViJkFY9Jwr7kI72D6KElGP4MDy8mtYXDoNc6UF2r2VyCk6xPm9Yom0VIa8r2MAucXBkzOsxmoCaoFLpJzouTDoRYUs9kXJ9VyONBdLoQ3R9edhikkWpNt8Kv14Q6yxpkTUXClT3ts5gPztxYocO1BIHXMZSUsOvkcrlGUm4EkdgcJcVIhefIImLTPZZds5q8nvjxQwa+zyzadPji9C5p33gbo7FaNF74peJ5eN9OQMUfdnMk7B/PzT6Ek9hpVrw6G961bZTTn9/Wri9JJEyVOzkkFRFH75/rOgKMrrdpo4vWTjjCA9dPWtQOcSBaOeBwPMRYX86bmYuNdCF2PeU7QhG0O5NnTnnEZU1W8l121vqHGsyV2P3p20TIee/+yCbz0PRogxd0OMxQC8ERsTJ86OlpbE2Y9IBJIvTEfL6SWbrcuOKAt9IsXGxXiYbtqYsf0AnuZdLAJdBCNj9x2I3bsPM/sGMBHyK1hefg0m45Ro7WMSGyNeGovl5deweO5RmDZdgfbmSmTeeR+vkoiBmnL3714qYuNicLytCkebj+N4W5X/NxBUh5CSuN4QTc/XEHS03JeeS94GERcrSo4vQu6+e6C9uRLjlf2I6q9SxJyLPdboJ0ZSo2QKS2xcDN6aasSR9ndwrFNdek5SWRjQ1TCoJdcZ1GLlFLZ3NeOZFzYHlLcYYhoXtaqG0jCj5TR0lOW67Ao01jVg303bOBsytu3mZlbFWYwyd4FMDNUXXQMUXYPBC95zzx3fo+fELz7fb1vXFWQEWF7LWeM+uwGx2Xpor7tVkhrl3ib+ijmxkwvtTZ14ecaRUvXypSO4ueSgS3vkImRC2EJXBFdcqxtdTSmISAsqPae3xdK8h6arUc+Z0XIaWs9vK74B7c1dSJex/C2wmuISyDmVU3QIg6YFZCMW7Tw8Ld/a+N5o72pGukjlEqVOZ6EoCj89/RT+o+JfJTsGF9oud+JP846Uqheaj+D2AmX0XAjEmDPwVg2Dz+xpX+jjDX7zFn1Bn0xiVtVYXBhCd/ScYqt91o80ozAxD8zTxb6yhOrBWlyXXYHk3KyATRnz/WKZ9EBFP2P3HTDpL2EmoQGTE88i5uUbnbnnYpRI08cnCX4vXZ/cGlqL+U0m6Er41yjnEyV3n/grtyGnMVq60D/tMBX904M43laFW0q9T1ybs8pbz5zAj2DXc5rHvtABQLrJ2nJSN9aM4oQ8UPYlINxhRik4dP624hugN8TL3qZAV3amWdZrQS2Yeb+PT218b+jjpSnhzIXJ7mlEAeiOHuXkE451VuHvPadQlr1Fkom/XGm3djmDfj2zgzjWWYU7CoOjsIQ/iDEXEX/1RNMCuOOlTbkY4u00Xkun0bbXDt3mQ4JX+wz0UeHD133V5Xf3lIW0bHHvcOn92mZc01yEGiwxouchF45iNOxdhNXWYqXvU6JUbslIEZaTSEfJe65GyWM37nO0kwd8TLn7xN/9WVsQEhIie6UViqJwcuK0yyN4X1FzTZwethllcygJ0iKlnruzFkw5APxgr0PPvaU3pskULXdHLHPOBzHTRcQca3wYP9GEpYHDMO21IyKlyK9P8DXxV04oisI/plz1XE1Rc2LMRcTfo8um1loA/BdikcKU96Qeg257CQpFWO1T7FUbmabsck0rrv/oXlH2z4R5DKZJF2LQAxV9OnpuSWjARN+vEPV8BWzXfjagyi0NrXU4tPdmztt7i5J/9+tb0N/rOTk4K2cBTzzV6PE633xyl4m/0wOoGmn0GaWWiuNtVRi4PAQwJvFziZoT1i5S6TkTuStkTNW1IXp+AqMYBiDdRExvNNW24uCt4us5F5Qw52LNZ2hqrcXBvbcGvB/mYlYAvC5O6FzVOaEOi9eGQ3fdAU7BO7aJv0qUP37bWIX+Zlc9V1PUXHFjPjY2hp/+9KdIT0/H1NQUHn30385HYQAASLRJREFUUYSHuzZrfn4eP/jBD5Ceno6BgQE8+uijiImRfhKJE5EmWwqZwCGmKadJSgmDKVsvaAl1qfA2uU+KyUIUReFXH/wO37juSy7RWdqgCzXngPDUFmbuuSn2CsJqfw5t9TZE33M377YA/CZ/+oqS9/dq0VgXz2k/fE05RVF4of6V1aiG3aZYbnfDUDMyUtKwIWWDs20j5lHUD14mxpwHqtBzkQh0Qp4U2u6L8RNN0HYehbGyD3G7NiNH4FPSQJBKz9nmqLBuq4A5D4QFk2OukcYe7fw/jVbPlqblGz6LWSWlhGGhKA0rBTroOYwVbxN/lYia1480IyM5DbHJV/V8yYZhyyQujV5WhTFXvCrLpz71KXz+85/Hd77zHWRlZeEnP/mJxzYPPvggrr/+enzrW9/CRz7yETz44IOyt1OMyEZJ/iZBx1wrjzn9wZa+UFSeL/pxvFXeoCu7eKvmQlEU/u9Z36WXAq0GQFduCdluQ0/qMZiff1pQFYDS/DK/25iMU7C8/JrjUeWmK9BtL0HmnfcJSl2hH13zeXry2pWjGJgdcXmNjlLLzXdv+Cp+/7Vf4LlP/RLPfeqX+Oetd8KyZMXWDN9LrpOyia6oRc/FgK+esyGXtltefg3W8VcwdcM0Uu+6jVepUzEp2SS+ntNzVJhlGX1Ba1Qwl9JbMFmxYLIiXB+HcH0cSit3O/8fro9z2SZY8DXxV24evu6reP7Lv8Dzd/8Sz9/9S/xLwc1YWLbimhTfeh4sKGrMGxoacOXKFWzZsgUAcOONN+LXv/41VlZWnNtMTk7ipZdewkc+8hEAwIEDB/DnP/8ZExMTorcnK20ZW0qtHj/Z2Y4TN8Q0HpBBr206j8w0O8pLbR4/zBna9HE0ep0kwk1ZZrCcGBnwfsSqU0rXpmaj7qy4pakoisLLl1Yrb7CJsnvZRRquF4BAzbm+6Bpk3nkfdNtLYNp0BUsDh3mXVqxpuujz7+MnmhBV9VuXuuRCnqAIKYVI92vTaBsKkvKxKaXU+VOgz0PDUDPvdogBPda4jBFgba44GgjBquflBfNetTYQuOo5G7S+y4HJOIWklDBk781A9MYKwfOJxKD2vPh6zpyjwsdkv375KI4Yj0tSSi+Q/HLabNMGHADqms66bMM06MECPfG3PLEA5cmlKE8uRWFiHupHlNFzeqxRFIUXjW/CsmzFC838xohSKJrKcv78eaSlpTl/z8zMxOTkJDo7O1FU5BCPDz/8EDExMYiOjgYAaLVa6HQ61NXVOcVdLHxXw3CIqM00ixDTuKDcMY0m0mfeItP0SyXaK30DWFwYQkiKOJNwxFrF0RuaSLaKB8I53lbFqfKGe3rLhshEr6uTsiHGI1N61VBbwhn09B1DdtUVTLbtReLtB/y+N1LDfuNlMk5hw5nXsRTaiPGrq3dmCoyeCTXlgKN/H7rl24KOKxX0WOM6RgiuBKuei1m7nIk/PfeG3HnlTsxm2A3iLjzGF7H1nG1xOi45zSv6RLz4j1WzJsWkQCFjjs2UA46x5us9QtJaOGE2g/Y+/vA38Vdu6LH2trEKffOjANSTZ66oMZ+cnERiYqLzd43G0ZFms9nrNvR2zG3khDbMNoa4cj0Bt5bt9HjNXaSlMuT0ZI6lq5VYIhA8S0n7ijxu2eU/JYMrdCSUa+UNum22GRNeu3KU9wVADHOeHF8E3FmEXuMJDGcZoT33BqyHe1yPE+kZOSldWoSl7TWELLoah6ilIbRX9kFXYEDuvi8KahMARzk0CDflwciWXWWCxgjBgRr1PBDY9Jwr6yU90Z2tO8XVc7bF6bjkNL9trELfnCONLtjMGlskfEvZLgVa4sBuiFXs2IGwdWcZ6xhRQ3UWRY25wWCAxWJx/j4/Pw8ALsLtvg29nbu4M7n9izdg2b4MiqJw78e/iM3FFbBYF1BZth3d/Z2Ymp3EpqItmJgax5hpBIU5xVi0LaJ/uBdZaTmI1ESio7cdyfpUJCUY0GxsRIIuEXlZBahrqUF0lBYVpZW4UH8W1LwN2zZuR317HWxLNmwr3Ya23jbMhoWgvHQbhkf7YZoeR3H+Jrx/4V2kR8ciJy0XANA73IO0pDQkZqShresK9PFJyAjJRENrHWJjdCjNL0NN00VEaiJRWbYd1U0XYbcvY/fWa9HQWsf5M8X02hAzXosaTS0yi5KRUrofvV3LME1fRl5BFupqWhCtjUJFZSkunK1HWFgYduwuR11NCxYXbdi+qxytLV0wz86horIUgwOjME1MIz8rAbMj0xgeGENOgaM8X2/nANIykxEbF4P25i7oDfFIy0pBU20rYuNiULIpH7Xnm6CJ1KBwSyoaLl5BSOQGbL9uKy7XtMK6YMWWXWXoNfZj2jSLudl55JfmYHzYhLzSHNisNgz2DCMjNw2aKA26W3thSNNDn5yAK/VGxOt1yCnKQuPFFkRpo7B5eylqPqhHWHgYTEmT6Knud5SUzQEwAvS09+FIzlGUaoowOT6Nos35MM/MYaR/DNmFVz+TsR8vNr4Gq20RGAWsGxZxOOQVRHdEIjY+1uUzbd1ZhtrzTbAv27Fz/1Y0tfTBOjKOispiDI7NYWpyFpu2FGFifApjIyYUFudgcdGG/t5hZOWkITJSg472XiSn6pFkSEBzoxEJiTrkFWzHqZVphOT1oKSwFQ2XRxAWFoKtqfFo7jJhacmO8kIDOgenMb+whAUsIcMQi2mzFdmbkjE/b8PYxDwy0nWILtqGrvEwWJs7EauLQduVLuiT4pGRmYKGulbE6mJQWpaPmotNiIqaxKYt12F+7iwoyo4N2j2wLNQiQmvGZIgWPRcvY3pyFmUVRTCNOT5TQYnjMw30DCMz1/GZmpsuIyk1Aan5ubhy5pzP76lybzkaL7bAtmhD5bXlMDZ1wTwzh83bSzHcN4re0X7kb87G3MwCxvonkFnkiNIOGIeRnJWEmDgtui73ISE5DslZSRi8NIrYuBgUleej7qzje9qyqwx15xzfEz326s41wXBDInrr+wEzgHQAc0CPsQ//k/wqdqVv8xh78bHhyMpcQUuDEfGJOuQWZqGh2nE+lW8rxYenHZ9p255y1H/o+Ezb9pSjrdnxmcq3lWK4fxSm8WkUb7o69lo6Ubh5IwCgp2sA8QnquDAGq56HzC+hq7YKhtxi6BOS0WJsQLwuEblZhWhoqUZ0lBblpdvwYf1phIWFY1v5HtS3fAibbRHbyvegrasZ5rkZVj1PS85ATmYBAKB3oBNpyZmIjYlDe1cz9PEGpKVkoam1FrExcSjJ34RL545jgz4elVrhes73GrUwaoU+chFn2/owFm7DoRvSWPW8ZGM+zLNzGBocQ26+Q/t6ugaQnpHsVyciIzWo3F6G6gtNsNvtuGZLNho/qINlwYqKHWXo6ejH9OQs5szzKCjO8aoTnW0O7dMnJ/g9pyaSJtFd46rn3e19+EvGUZRpilzOKeY1qqejH39oexlWq82p53+EQ891cbFeP1N6qg2newbRYb2AA9szfH5P3e2tyCjegkhNJDp725CsT+U09jZmVKKltgY22yIqy6+FsasJ5rkZLFjmkZWeh8npcRTlb4Z5bgYjY/3IiElFVLwGve3+x15t03lEahJRVrwP87NVQNgKYjYcxILlQ0SEz2JqpsT5mdLDczA90oe+iW7El+gxMxrB4Rrl8BIRlA2bb9gpSPuEegmP625tK2rPN8FwMBE9Da563mnsw/Pxr2Jf6jbOn0mIP/J2PnHR8xBKwYSbhoYG3H777ejv7wcANDY24uabb8bQ0JDzbmZ8fBy5ubkwmUyIiorCzMwMDAYDJiYmoNO5Rh1mZ2cRFxeHC39rQswG5S5m3vLLTtVW4aab7pK5NY584mJdDS6XjItWiSXQZdYB37nlNO+/eQ6XYhqdFVQC4YmTv4ZxvMvj9SJDPr57w1dZ3uHgndaTeOLk0867bgCICo/EI/u/xqsUVIgIK9Bx5eS753HDTXtE3WegqSt8cK+cM7nimvK0gWPlnHmrCRRF4fenX8L/d/3XfY6hD946j/NRNbzGiG1G/EWG3Ff+nDPPY/fmT2BmZsZD84KJYNZzKdJZTp1/Bwf23MJ5e6Um85uMU8hqOwZL5QxGd2TLkmPuLZ2h6u1zqNU1cqqg4o+ffvBrtJm6XBanowCU6PM91sdg8lb7STx22lPPf7jnaz6j5r3GE9h6MQqdQ4V+0wlpD8B3zHlLZfng/Fu4bs9tLq8tmxxPQ/mmsXAZh84xkzeM0Y+U8hozbN89n8o5/uC6r1PvnMc5bY3nGFleQpmhxJl6Izdc9FzRiHlFRQVyc3Nx+fJlbN68GR988AG+8pWvwG6346233sIdd9wBg8GAj33sY/jHP/6B22+/HadPn8bnPve5oL5AeRvw+/bfKHNLVhGyYpnffcqQRzaTNoujF45jY0pxwHm+vsy3LxqGmlGgz3P+TtmXEBoa4VzNjitylurafe1WUfcnpykHVivnZCen42DJtQC4m3EmG6L0eLflJN5tOYXilHx8fOOdXrfdft1WXBcj7s3MeiLY9Vzo3CBv7Ny6n/d71msKC8102iz+Xru6ym8g+DLfvnBZbXp5CSFhjhVK68aaRUtn0eh1giaAavVRWDBZsWyacTHn27de57KdUFPObB8n4j3XsPCFt4IH7qs7BwLXfe3cvxUHNrDrOR0kC1YUr2P+0ksv4bHHHsOmTZtgMpnwwx/+EH19ffjyl7+M3bt3Izk5GU8//TQeeughdHZ2YnBwEE899ZTSzRZEQ2sd9lTuU+z4y3p+J5mUcImWUxSFF//+CixJVt55vu4R10AQM1IqlzlvqGvFnn2VAe9H6JORQEw5RVH406VXYFm24tW6N/HRLXcI/g4pisJfqh05hq/WvYmPlXrf1+WaVuw8EHifrWeCVc+FGiVfNLXWYlfldf43hIITPoMIiqJw+NgrsBi4TaB3f69YEVemoef7FLM6tglaUwssL09hYceBgBaB8wbTnNM0Xj6D7Zv3uWwjBC7VgOh697WFnYiOTocW2byOwRYt51M4wee+eeyrqbYVu65j13MqSS94zRE5UNyY5+Tk4Pe//73La3l5eRgaGnL+npCQgGeffVbupomOxbqgyHHDLCaEpGvBtohAMHO8rQpjUxNAEv/qGHTEVYxIOxuaOD3mgticWxYC+66ZkQ85TTkAvNp6FIPTjolZg9OjeO9KFW4qE/YdvnelCv1Tg859vdp61GvU3BpgnxGCW88d5ly8qDlfPVcqWh46NwbExgDgX0FGTN42VmFsegIw8F8VUsyIKxNai7mQU3QIY4ZsLOir0VN/DJln+zHedxCGQ+Ws2wcy3tyN94pmOeDKK/5uDpkFIuiKXWLUuxdaOSfQffm7BgbzYlOKLzC0nqgs2y77Ma2Hn4fV9AaqY8WtHys1dHWMpfRlAKvVMbhMieBahzpQ6MWIhEAvxkMvziM2lduFVz9gRsnlNOWTKyZMLI/j96dfwuKyDQCwuLyI/zr5O5da2Fyho+WLV3NJF69Gzb2NBzErABGCF7Gi1xVlO2Q9nhBMxiloqo/ggvY4uqNHZTuuRudqeOlIJ1PPudYdD6RWudgkxxchd9890G0vQfYmbvMexPj+uY41f23wd3Oo180hY3sqtHfdytuUs+WWr6ys4Ofnf+dSFeXn54TrOVsVHm/joWKHfz1nrjkixXVYKMSYy0h3f6dsxzIZp2B+/ml055yG7Y4N0F1/SLHV3oTgrCXNWHeE66qQbHWohUBRFH75vv+V4QJZ/VEqYeju7Of9HqEreAKriwbRq6fyhZ7c+Yezf8as1XU+xIx1Fr868V+898mMltMMTo94HQ+9Rv59JjbBnvuodmhjIoZZ6unv4H1cObG8/BoWan+O8cp+xO3djNx99yi2uJAz0snQc66rQrJFSYXga+Vmvtq7rNdymrcl1njjM9aYCFqskGdeOeC9/3525r8wbXVNIZtenMXPzvDXc+Y4oPE1Hno6uOk583oXLOZc8VQWKQiZGQMUrMrijanZSdmOtdI3gKw8YPJGcR5HyQ094XK23wxdSqzL675SU+j8ZJe76kuvYEfRFujDkni1gUs6DF3nfM4qvDoHLQr0YzXAM+/tu1/fgv5eT8HMylnAE081erw+NcktnzaQlBWaQFNXaFOujUzEqbbTAIDI8EjkJ+Wga6IXi8uLONV2Gt+88UFeuYlNg83IN+S5zMi3ryx5HUPTPHOQpajIAgRnzuNags43D3Qy6DQHPZdzhU8mJuMUslPCoE3VYfQjOxVd7RNYnXA522dGXLJDz6mrr/tKawikVrk73tJh+KSzuHwm7RVoWnpgeXm/z3xz5ngDHJVavvdkHAaGwzy2zUyzsy5axWWsMeG7WOHksVOIGjqHC5V90EUbeOWVe5uHRFEU/tF1Vc/DIlGYmIPOyV5Y7Yv4R9dpPLSfn567TNqljwHvY2ia4zXQuS9GagugrA6vSWM+99qfsJhzgNMKiXKyqWiLbMcKs5iA4Ls34Qw94XJs3ziSM7hfPJn5yTSD06M4192Ia/MrAACJof5POPd0GC6LEAVizgHfBr2/V4vGunjO+9q0xfuF2D0qEGjJSyBwU05XT6FTWACgKKUQXRO9AIDFZRvvXPNvfcR10u781bZ6+/43bg2eRbcI0iKGOS8rqvD5dzLhcxV6wuXornGkpHPvb19RUl4VsfxMGqQnA3I1Y3S+Ob0qM5d8c2B15fCBvlg0dUazbGljec3/WKPha8jplaCtoY2YPGhHXNlmXoE8X8UB3jZWYdHu+DwhIUBpUiE6p67qud3G+zvkW4WnrIK/nrtfg5Uy52sylWV0/xispjdgPfw8TMYppZvjZGJKHqGePHYKVtMbqEmXL3VGKkxj/L6/5qE25BvyUZZW6vzJN+ShabDZWW7PvSY2G3zTYWhjGkhaCw39aI2Zg06vtMmVifHVfqP3wUyXYR5DCHTqCiCOKWfLB3/n8j9cfv9LdeD5pb5uyviMNdtMcDzyJAgn0DQD09SY178pVbM8mHDPMwf46zkdJS1PLnX+FCbmoX6kmdd+uKbD8EllSI4vQuad90G3vQSmTVewNHAYlpdf8+k5eKWUMPA31ugfPscYP9GEqKrfCk539WXK2Z50HG3/B+f8cDHgO9aYKJ3asiYj5rH7roct8zK6608ju2oI4313eL2TlZMx0wgA6aLmJuMUoqp+i9HCTkTvTYdu8w7FH2EKgVnqcHzYhI0cK9hNrpjw3Vu/7XObDVF6zFtNmFwxeTVpQpdlFyty7tIWWvQiItj/bl9iFY+hrh4U5662Qcya84EacsDVlAPs+eA2u2v0qH9qUHCFlnkON0x8xhoA1u84kLJuJL9cfgKJnI+ZRsA2vSxYTDllUbYKCw3znBgbMbH2mTeE1ip3Pz6XdBihVToydt+BsVIj5+g5AIREeKaxAACWllxSXmiYY43tRpLPWKOj5EuhjRg+aIe2jH+6q78yumxPOtz1PNAKLf7gO9bcoZL0wPgEfnbhWXx3V+BlOvmwJo25Ia4AMfu2oDflBMZjm6FpOQzr4S2Y33eXJHVHffHdJ/XoH3Z086JtL577SwoAICttGU98R9wL8UrfADJKYjCh0rxyGmZu96bSUkH7oCgKv6n6HR486HlC0ebc1/HpaDkN13KNUphzn0REsIpj/o7Noi8AxXwaIKYpBzzzwYdnRmBZsiIkJATWJSvSdKmI08ahabCZtzH3l8JCk1eaw2l/vqLlgZZ1I/nl8rOaZuBpiNxh5gYv2nbi+b8kAljNDQ4WU+5EwEQ+sXnn0lHnOVFeIlzPhd7w8kmHEZpnnBxfBNxZhMELR2GK5ZZ7zkZIRJhHTjoAFOgMoowtOpe8u7AT0VuFBe+4rG3hng8+ODsCy7IVIQiBZdmKjNhUxEfH8V6kjw8FJdz03Bdv953DEeNxbEoqFm3xKS6sSWNO46w7WlCtWPS8fzgcja10/VEKAP1/8Wsmq61euW3Gc5Eh99zuH2z9D877SwzVY9JqwoYoPd67UoU3m46jJLXYq5HzFjV3X+mT+TqXmuiym3MWFhfZcxWFIkaUHGA35YBnPjjgGAtffPFBdIx3QauJxjP3/IL3RXnOMoHfn34J/9/1X/e7rc3qv89oU+4tWi7WQhoE+WGbpOfOwHAYmlo1V39bAUD/3xZ8pjwIiIhNxIvGN53nxP/ZxF3PmQRyw8t30mAgecYZu+8AdgMDbxxGT98xZFddwWTbXt7z3dzHEGWOCGhcTdW1Ibr+vDOXXIooORO2Jx0UReGeIw+i3eTQ8+f/ib+e87lBC/QaSFGUc+y+0HwEtxfIp+dr2pgDV+9k9xW5RM+F3MmKQyeAzZLsefLYKUQOnUN1ySgiEPzpKzFR7DXA3XO7j515F98o+xKvfTtXe1yy4i/VR/CRjZ4nlK+oOdtKn3xx5pz7MHJ8yMxhX8zE2+sDPcMoLM0N6JiAf0POZ4VVb6bcG8z0FiFpLPNWE061n8N7Le+jMnWL35uqwZ5hFJTlev27L1MOBLaQBkljCQ7cJ+nRsEfRGXq+tEQMOQvHOqvQN++on943M4g3zr+Lb23kr+eB3PAKTYcJpEpH5p33odd4AsNZRmjPvQHr4R4sGHIBAPZoPZJDwlCWtsGxsUaD8GjHU5istGXW/fUP96Iot8TnMcdPuK5VEmZZ1ZTIoXNor+yDrsCAwn33eN0HRVF44uLvXFI3xKjcBYiz0BCfG7RAr4HvXDqKvjlHIYme2UEc66ySLWq+5o05DTN63lPvuJOVP/e8QPQ90vliozmnEf2JdOg2H1JlXjnAntt9fqEGX6fu5yXEbzYe5WzofOWaiwEzeg4IN+g/+S/Pkoi+yMxNE3QcgF/KCtcVVvmacrbJoN5ustiYt5pAURRerzvOqbIOAGRw6DNv358YZd1IGkvw4G6y6TQXLMViNUq+qudec4bXMRRF4YVm13Pi7GIN/jdPPRdz5Ui+sFXKAridqzlFh4CiQ+jRv4wBUx2yzf0IMTueZv/nXX927F+7AaOdC0ha2Yboe+72uq+sNO9pGeMnmhDVX4XwlAnEaO2rf4gFqFjHE/q+kgmkXn+bX29wrLPKJXWDT5TcF2LoI98btECugRifwIvGN2G9mhdvXV6UNWq+bow5wB49lzf3PLAldd0ZP9GEpYHDMG8Wb/lcPoRMeK70xRdmOgtbbveIZYxTbjdNQkgiXq17k5Oh85drLhb05xPDoHMlMlLjfyM3+OaQcy0pydeUA+yTQblGzenvtNrY6FFZx9c40kSx95m/SDkQWFm3EB5l2gjK4Kzg4mLAxdVzMQmdGwNiYwAoNwH0WGcVemZdz4lhyygvYy1mHfNAYF7n+EbRc/fdg7FpI6ZZ/hY2bkZIQoMj7eX3V7CYvtf5N3v06r7np4Yw3umamhFmMUE73oOl0EbMb7IgoiQPK/oM2A2edZILOQTr6Bspy7IVhxtfwU2GLYCB39of3hCj7CWXGzTmk8fIhXlebWS+962+c84nPTRyRs3XlTGncd7JnnlZ5tzzZgCFAe/FZJyC5uyfMJHdgNhr9dBed6vsUXKNTh9wKSH3dBa23O7ZETPn3G7AYe6Hpl1PqECqeYgJ0+zOuU0gZJq+QCY60XS29SIrL93nNu6pRHzzx9lKSrp/T0JMOcC+OBB19XVv3yPzJishJJF3ZZ3u1l5k5bv2GRdTDvDPY6UhKSxqRhw9X6vUjTWjOMFVz6cHplHfUyvIjNHIHTV3h2nSbRP+o+gUReH/tZ5gr+wRD6DoGmfaS7bZsSAPHVmnqZvqxyZDlut+06PQVzKBcL0O2s0HAvYAxzqr0DMzAADomx/FW1ONuM0gTh8L1Ufntmw3aJdewW0JW1z6lPkd9A21Izubn77S728093qMXcAxpokxl5jcffdIHj135Iw5TrIFSxK00VbG6/yxvPwaFpdOw7zJESXPVHH1FRo6as6W232luB0bK4s574tp7pfhqP0dGhrh09BJnc7CBtMEMyPpAPBu19mAKnsAQHKq6+fxVl9d6GROfyUlmbXi+ZpygH0yqC/cK6+803qSd2UdQ5prO7mackBYHittykm0XD2IredSYDJOYUP9eQxmGDETHcprFUcx+cFez3Picna7o4wrx6etgRo6qfFm0oHV89o9PYQNOtV22stxopvTMLXJ83vUAaIE5RZnJnC48RWX1A0xn0wEWvaS9QZtbgTvjjd67dPkVL1gbWUbu3Kyro05wB49FzKL2hvMkogj42FINYz62No7dB7ZQHYDYrOViZKzEWg6i7dJoDT6ZH43Se7m3l/EVq50Fl8wzTFFUfjLFUde9Av1r2B/1hZBwhgVF3hE3Be+SkruLHasUifEkAuBrRyikMo6zLHGx5QLgZhydSKWnksFfZ3ozmlA9NZ0aINsLYskQ4LzaSuXa4cYdczlgi3dhaIoHG58hVNlD1/f00p+PJLjha1Q6wv6qfdbU40eqRtKP5lg4rxBW3YE20LCHOt6+IpgJxnkLu4hHuvemNPk7rsHY5uNGH7/hHMWtWXrHqzEJDu3CTSS3mxsRKqB/4QEy8uvYWnpNOY3WaArKXGUZAoCxEhnoWErnQgAV+qNSM4QLkiJoXpMrpgwf7WMojeUiJqzwTS8A+ZRVI00ck7jYdJ5pg2ZpdyfNPCFzfguYwkfDtZiZ3GFLKaceUPl/t0JqaxDjzViyglcEKrnUmEyTiFmtANhm+aC6jrBpLnRiNQ0Ay9zrkboz/RW+0mn4e2ZGcDrl4/itpxreZ/7dL+JAVuVlfqW4H4y8fB1X+U9F0fMPpMbYswZJMcXIfmuIvSWncBASx0Mly8j9OrfwscTA85DT9Al8tp+/EQTtJ1H0VfYGVRRcrHxFTWPD7AEGUVReOH0X/G5fZ/was6DIWoOCF9xlI1A+80fTOMbaNqKELguGsSHeL2OmHICZ/jquRwkpYRhISUBUUFaujEhcbVdQsy5GPNv5MIjL9puw4vdx3HLNXfAZvK83vjSBGa/CcE9gObe38H+ZELIXJxA+0xJiDFngc73Wrx+9TXzB2dg7vsVYg/vx/y+u1y25xpJz8vyXi7RZJxy+Z1eMne8MrhzyTU6PWwiRT3YouY5RVletuYGs5zfzuIKn5Fz2mAqFTkPZMVRdwLtNy4oYcgBaUw5AKSlxAAgppzADV96TmAnr8BVl/ia80BX1pUTPhNX3csx0tBa4d5v/mDbl9qfTPDVTb59FkwQY+4Fj8j0nUXoNa5G0hOXHI9IZqftsFRv5LRgUV1LDW7Yc5PH63ReYLzW4nztck771RzBwGdbqwE6au5uzhsvtuC62/YI2idbOb8papLVnNO/z1tNiqW1BLriKJNA+s0XSplxGilMOR0l72gcxoFbckXbLxNiytce3vRcccxm2A0ZSreClbqaFtxwk6sucTXnaltZl8/EVW+fm55QWv1BLQ7csI3X8dVuxGmElpNlG2tqgRhzHjAj6V3jfQCAsCt9MDOW3g3JcM05ZOaoL5nsmKprc/l7dP15Zx3Syb2bnK/rDXepxpCLFTVnS2mJ0gqvFeytnB/TXLpDp7UoET0XY8VRmkD6zR33/vJlyCmKwm+qfocHD4r/qFlKUx4TpUe0iH3GhJjytUl0lFbpJqgOb+cYF3Ou5EJDQhAjPYTui6hUgyJGW02pQ+5IpedyQIw5T5xmmf63CM4apPru96AfTnHZPmRuNQp+/dIStKFGl7/Xb25B3N7NyA3SVBUlYEbNN28vFbQPX/naAHymtDBfn/QxwTCYEdpvAD8j7s57V6rwZtNxlKQWi1o3XmpTDgDl24T3GRshHGocE9RLRWml0k1QHRWV3s8xX8UEgmWhIaUQW5u4oqbUIXd8jbVgJ9T/JgR/5BQdgu76Q5j9aBq67wp1+en6zAbnz9+LJjz+nnrXbbKv2CkFGp1elMVS3PN7az6oF7QfX/nafMzdhii905hOrphcfoIZrv3m/pmY5SWZn50LFEXhL9VHYF2y4i/VR0BRlJCmeyCHKQeAD0/Xi7Z/ZpScmPK1yYX6s0o3QXVcOFvv8+/eriO+8rXXA2JqE1fcU4fE0nO58DfWghkSMReJ5Pii1Si6F3r6YpFTtFOmFimDGOWvYqL0mLsaNQ8LD/P/Bha45Gv7K6HIxH07ZroLk2CJqrv3m7cbCYqicPj830RJPXnvShX6p66mDom02qpcphzw7DOhkNSV9UFYGLl88iUsjNs55n4dCfaFhqSGqzaJmXqittQhd7iOtWCEKIuM7NgtvNSiGhCzrjngMFCVe4X1mb98bbq+uVDYDL03s+4PiqLw4pm/4RvX+RZTPvvO3Z3BKSXl3ZaToqSe0NHyxauPmheXF/GX6iP4yEbhj5rlNOUAsG1P4OcnMeXrhx3lu5Rugurgcg1ku44Eezk/JlLkZXPVJrFST9ZC6pCa/RZJZZGRupoWpZsgC2KmtDRelLbPxKxfzkz/4PNzrrsRb7Qcx6utR1lTS+ifDVF6aCMT8f/O/RXayESf++yqH/F4zR0xU0+Y0XIaOmoeCHKZcgCo/zCwsUZM+fqirqVG6SZ4QFlmgPjgnZTK9RooVmqkEtDmmEuaDUVR+L9nn/WrvVy0SczUk7WQOqRmv0WMuYwsLtqUboLkiG1KFialE2cl0k4oisKvT64KMdMc/73+uE/DDaxOrvRneG1W/2ONLfVEKE2Dzcg35KEsrdT5k2/IQ9Ngs6D9zVvFLVnJZeEgm8DzM2TC5CzpRUz5+mHRtqh0E1THWrsGuhtrvuaYq4nnok1sqSdCoVOHypNLnT+FiXmoHxGm50qg5rFGUllkZPsu9T5a4YtYueYVu0tZFx4SC4qi8It3f4VvfuTrsjyic69awicv2z3C7StNpGKf77EmdurJtz4iQmmwq6UW79vzCUm+C38LBwlJZSFR8vXLdpLKwhs+10AhZXjlLu/nnjrCJy+bT112f9okduqJKKUeFS61qGa/RSLmMtLa0qV0E2RBTJMy2DHN+z0UReGX7/t/PAgA1cZGvNtyCm82HhXQOv7tYhrrlZUVVnPsrd18Itwdjb7HmlSpJ4Hw3pUqvNn4Dk61nxM9Ws5lNc+2Zn7nJzHl65vWruB6VB46N6Z0E/wi5BrINd0D4JdGEijuxnplZYXVHHtrN58Itz9tCsbUEzm/CzbU7LeIMZcR8+yc0k2QDbFyBM0zjj6jUxG4cLytCkebj+N4m29BYNY6f7XuTcxZJgJqqz/cjfWvTvwXZ3PsLcLtTfTnZnyPNSGpJ+5pOGJCURT+/OErsC4v4vW646Idg8+4MfvpMybElBPMc7NKN8GT2BilW+ATvtdAjU6Pdy4d5WTw5C7v526sf3bmvzibY28Rbm9t9qdNQlJP+Nzw8EXs70JIUQk1+y2SyiIjai54L5RAU1rKt5UiJioRc1YTp5QW2mxblq3OBYW8PUZj1jofmh7FqfZzOFhyrSRLzbMZ61Ntp5GXlItQRvsoOEyzezqLrwg3W+pL2U7fY01I6om/xYMCWfXzzcajGJweAeC6SmsgcMkrZ8J1EQ9iyglA8C0wRA0Owxraj+7ocWiRrXRzWOF7DaQoCi8a3+SU7iFneT82Y/2PrtMoSPDUc7aSjr4i3Gxt9qdNQlJP/FVwCSQVRczvgkoSFuRTs98ixlxGBgdGkZScqHQzZEOM8onD/Y4+i4nSczLnTLPtzeDRqS71Q5ddhPX1uuM4ULyXV31zrrAZ68VlGz52zZ2cyhTSEW73Or5sJh4ARnpHoU8Rb6xxyW8XuurnnGUCr9a9icVlx2Qd5iqtgeYmcjXlwOpY4wIx5YTB0QEkJSYr3QwAgPXw87CGNqJ9rx0RKUWrK1QHGXyvgcc6q9A3PwrAu8GjI7+XRi7LVt6PzVgv2m34l813cjKgfOuy89EmLnDJbxdaejFYSi2q2W8RYy4jpolppZugCIFEzU3j087/0+bcG8zUFMC7wTveVoW/X34L7g/X+qcHUW1sxM7iCmcZRbEMOl9j7Q7fCPfU2DSv7f3hb5Iqn4mpTOatJpxqP4eh6VGX1wONmnPNK2fCHGveoKuvEAimaWlT3zi1wTgFbfUp9OScRvTWdOg27whaUw7wuwZSFIUXmv0bvLeNVThy5S2P90sZNQ90wSO+EW4u2sQHfxFtPhNTfe2bRokFitTstxQ35n/84x8xMjICk8mEj33sY9i3bx/rdmNjY8jLy8PCwgJCQ0PR3NyM0lJ1Paoo2ZivdBNkh46aCzXnxZtc+4y5Kqg7zGg5jbvBo8370soyIsMiUZJSADDklbky6OSKSTSDLkbVEj4UlIs31rhUcBGy6ifdtx3DvX5XaeUDn7xyJu5jzR211lWWk3Wl5/kblW4CAECvm4MpW4/Mffco3RS/8LkGHuusQs+sb4NHG0hazzcnFyDkqp5LuTKo3Ase+dMmPnCJaAeSihIsq7Sq2W8pasxPnTqFt956C0eOHMHy8jKuueYaVFVVQa/3NEF//OMfceXKFWi1WoSFhSEhIUGBFgeGYzJCitLNkJ1AUlrMM3NAlmefsaW0NAw1+zV4TPMeEgJ8ouJOr+aPrgwipkGXC8fkT3HGmr/8dr6lF91X9GSu0kpRFH71we/8roLqjcXpCfy6+iU8tP/rvN/rbawBJK+cC+tOz+dmg0bOlxMjlW4CJ/hcA+vGmlGcsKrnlH3Jw+AxDWRICPCpTdxSSdSGL23ii7+IdqCpKMyblkBLJlIUhZ+feAoPC9FzFfstRY35U089hZtvvtnRkPBwbN68GX/605/wjW98w2U7k8mEF198EWFhYfjMZz6DjIwMBVobOEODYyjdVKB0MxRBSE1aABgeGEPJZtc+85ZvzjR4bHBNdXGHzaADwW3SR/vGULRFnLHmLw2H68RUZt95K4dIV9TZmFLMO1pumzHhve5zeMv4PrambuF9gWYbawAx5VxZd3o+NojSgk2KtkENJRKZ8LkG/mCvp57TAR4KwZPLLAfetEkI/iLaYqaiCM1Td3l/zylsSd+COwr5vV/NfktRY37+/Hnce++9zt8zMzNRXV3tsd3AwADuuOMOvPTSS3j88cfxyiuv4KabbpKxpeKQm5+pdBMUh29KS04Be59xnQzKhEuqiy+YZjLYTXpWkXhjzV8ajj/jzsWQA/wq6rhjmzGBoij8teW4oLxIwPtYA4gp58K60/PMIHlUHhuDkBR1RAYDvQYyUyPfmmwIilxmOfClTXzxl4YjVipKIHnqzvdfegUW+yJeaD6C2wv4vV/NfktyY/7DH/4Qzc3stTQnJyeRmLg6a1aj0cBsNntsV1FRgYqKCjzxxBN47LHH8K//+q/o6+tDVFQU635vv+GLWF6yg6Io3Hv/x7G5ohiWBSsqt5ehu7MfU5Oz2LSlCBPjUxgbMaGwOAeLizb09w4jKycNkZEadLT3IjlVjyRDApobjUhI1CGvIAt1NS2I1kahorIUF87WIywsDDt2l6OupgWLizZs31WO1pYumGfnUFFZisGBUZgmplGyMR9dHf3o6RpwDpiergGkZyQjVheDtitd0CfFIyMzBQ11rYjVxaC0LB81F5sQGalB5fYyVF9ogt1ux+5rt6KhrjUoPpN5dg5Dg2OcP1NBVjxqT9YiwqDH1p1lqD3fBPuyHTv3b0VTreMzVewoQ09HP6YnZxGri4Fl3oKxERMKShyfaaBnGJm5js/U2daLmMRwJBri0Nk5gXi9DjlFWWi82IIobRQ2by9FzQf1CAsPQ+1SA1JGDVhZorChSAvrgBX2hRVcbL6ETHMaJsenUbQ5H+aZOYz0jyG70PGZ+joGkJqVjNi4GBgvdyHREI+07BRcrmlFbFwMkjbF4/xbtdBERaBsZzGazl1BROgGXHNgK1qqW2Gdt2Lz7jL0tfdjxjSLkmuKMDk6hYkhE3I35sBmtWGoexjpeWnQRGnQc6UXSel6JKYkoO2SEXF6HbKLs3D5QguiNkShbEcpLp1yfKaKfeW4fKEFNqsNFfvK0dHYhbmZOegSdZibmcPU2DQKyvMxN23G/3vzT/jyx74AhISg3ziAlOxkxMTFoLOpCwnJ8UjNSUHLh62IiYtB4ZZ8NJxpgiZKg827y9BwxvE9sX2mndZt+OyBf3F+ppR8HWyLSxjuHkNzXT0M0cnobu2FIU2P5eQVXKk3sn5Pv3/5RfQ09wGZQE91P56a+z2+8KnPwNjUBfPMHDZvL8Vw36jH95SW6qjd/M7Fc+gZ6gfCgW5jH34f9t/4+LW3oanW8T2VbMpH7fkmaCI1rGOvp2MA8Yk659grqyjCpLEHY6NTKN26WbHzKT4hVqD6io8iev7FG7BsX3bo+ce/iM3FFbBYF1BZth3d/Z2Ymp3EpqItmJgax5hpBIU5xVi0LaJ/uBdZaTmI1ESio7cdyfpUJCUY0GxsRIIuEXlZBahrqUF0lBYVpZW4UH8WYWHh2FG+C3UtNVi0LWJ7+S60drXAPDeLitJKDI4OwDQ9gZL8jejq70DPQJfToPcMdCE9OQOxMTq0dV2BPj4JGSmZaGitQ2yMDqX5ZahpuohITSQqy7ajuuki7PZl7N56LRpa63h/prq/vYoMSz/aDs6j52w0TNMpsus532tUrC4GCwuWwK5RF9pB2eZRE16NlBEDcFXPLVf1/ELrJWSZ02Aan0bxJodODA+MOc1tb+cA0jIdet7e3AW9IR5pWSmcdcL9GlVWUQTT2JTPa1Ryqh765AS0NBgRn6hDbmEWGqodn6l8Wyk+PO3Q8217ylH/YQtsizZs21OOtmaH9sUl6DA3O+f8TLPTZjz7jz/h6x916LmYn2nP/DZ8Yde/sH6mjtYezp/pt6+8iO5Wh5531/TjF7O/x/0f/4zzM5VvK8Vw/6jX7+m1d19Fz+QQEAF0GvvwTMh/41O7b+M89ro7B5CQqAs6f8RFz0Moqavw+yAjIwOHDx92Rku++c1vYmpqCs8//7zP91VUVODw4cO45pprXF6fnZ1FXFwcLlz+G2JiN0jVbMGcfPc8brhpj9LNUBzn40gOkfNT75zHgVv89xldrYVr9FxqJlc8c+o3ROkDqvXNh9NHz6F+Q6PzOO+2nMQv3vs1/vdHvsqrlCFX5t2q5fBduZOiKPyv/3kQxonV1dqKkvLxwqd/47Of6ImeGyITcc+RB9FuWn1/sT4fL3/c9/uZuI+1YElhmTPPY/fmT2BmZgY6nU7RtvhCMj3/WxNiNgTPzQnNyfPv4oY98kf6TcYpbDjzOrqvVmLRBnklFiZiXgP5XEekQq5l56vePodaXaPzOG+1n8RPT/8aD+//alA+HaAoKjA9Hp/Ap088gvaZPudLpYn5+Oud3PU8WP0WFz1XdOXPnTt3or+/3/l7b28vdu3a5fd9xcXFSFHJozsm6RnBUfNWafgYnbRMbn1Gl8azzZgEV+UQk8RQvcsP4DCvbzYexZuN7+DNxqOYt5o8DK1Y9Nh78WbTcbx3pcqjlGEg9+J0m91/2D4vH3ylGbFBf88xUXrEROlFWZKaOdaCxZSriXWn58ny58aPn2jC4rlHMbL5IrQ3VyJ33z2qMeWAuNdA+txUslqSXMvOd630Oo8j9wqnQhCqxyETjjSlt/vOOevX0/TMDuJYJ/d+VrPfUtSYP/jgg3j77bcBAMvLyzAajfj0pz8NAGhqakJbW5vz/1NTUwCAvr4+lJeXq3LCUKwuuJdLlhONjttqXrFx3PuMNmmAsJJ59MJDUghdYqgeCSGJeL3uuHMxo4SQRCSG6r2aXeYP38/xj64qpxF/t+WkRylDNri2w92ECzHi7tAVdTallDp/CvR5aBhyTZtg3ngx65QLWZLaHXqsEVMujHWn5zHyPb0wGadgfv5pTIT8CivXhkN7163IKTok2/HFQuxrINOcu19PpFxynt6/HAaZoii8PVDlPM5b7Sc9ShkGG3z1mPn9aXR6NJp7UZyQhy2GUudPcUIe6sZ46LmK/Zaikz8PHTqEuro6/OQnP4HFYsEf/vAHxMfHAwB++9vfQqfT4Wc/+xlefPFFvPzyy7j77ruxdetWPPLII0o2WzBtV7qQIVLJo7UAl0ot7c1dSOfZZ8yJoQD39JZAKoJw3T/bqqRcjO0kD3Ne1XYWg23DQBHQPzWA504fdill+OcPX8HevC2sjwTFMNlC8FdRh3mjxbZwkBh1hdubu5AR7ZBEYsr5I5WeTx0/A0ucI0czNDsT+qLgKK3Y1nUFGSlZshxrpW8AWXnAbGUJMnbfIcsxpUCKayB9rtKTQgFHekugFUH8Ieay8/6OM2B06HnfzCCeqX4h6CvRcNFj9xsppuayVeThi5r9luILDP3Hf/wH6+vPPPOM8///+Z//if/8z/+Uq0mSoU+KV7oJQQdtzgH2XEG9IV7QfmnzxtWgB1IRhAtCSzXScDXMFEXh9brjWI5aBgAsLtswMTfpss3Q9CiqjY2S3HyIjT9DLib6CMcDRGLKhSOFnpsNR2CPioDFbEPm2QqM9x2E4VB5wG0NFH18kmzHCrOYgFhgWa+V7ZhSIOU1kGnQMT7hqOghsCKIP+Qq1ehcQOmqnluXFzG67LrirJoq0fgy42KjZr+luDFfT2RkqvPuTWp8rQ6aFuAdL9PMzTFMnrtJ9xbNFgtvOdTfeP17+NVdPxFNzJ3HiXd9PUOXhvjoOOfvQlfVlAs5DTnguGCkZyQRUx6EZN/zZcTEbkCv8QRM55qhaemB9fAWmLO3ObdRIpKekSJdObbxE00ArhpyAJFD51BzcBQRUE8+ORtyXAM1Oj2OdpxE39wIAKBvekB04+oth/rBt76H39wmnp47jxPv+npmbBoSruq5Eqtq8kFOM85EzX6LGHMZaahrxaGb9yrdjKDEmzlvqm3FwVvF6TO2KDoAROgSA4pmc4FtVdJpywxq+xtEvQmgjzPbb4aucLWSRZEh32+6iNK4zwuQw5ADqxeOK8ZRpOerc0GK9UBO0SGMGbKxUFCNkc6LAC4CABIGNiD0bLbskfSG1joc2nuzqPscP9GEqP4qaOL6MJU5D+iA5XgNwvfqoNt8SFUTPdmQ4xpIURReaD4Cq90GALDabfjTpVdwW8Jq+l6glVzYan1PWWdQPdjA+ybA11yr+p5aFOoyMdszj7gcR6U5CkBJXA4euebzjt8VrErjDeZnUirYoWa/RYy5jKh5MoIcsJlzPpM/ueISRbea8Gb9UfRPDbhsI3bU3N0U0+UB7ZRd1JsA+jiXMhpxzb4tAe9PapQy44DnxYOcn8FPcnwRsK8I2Lf62ti0EbYPziD07GFYD2/BgiEX9mj2cSSmcQ908qfJOIWVvlXdiRntwNLSacxvsiCiJA+5Ks4l94Yc59ixzir0zLpFs+dH8e54I+4ovMElF50JH4PrnkNNlwe0U3aXlBauFWO8mdcfH/g2AODD5Ebs3OOp52yfRQmjrlRU3Bdq1nNizGWktCxIVooLYpx5gldP9JJN0vZZTJQerRO9KNTnY2VlyeVvdT21kqV7SJ06U1QenGONrVqOnGachq3yCjk/1UlyfBFwZxF6N57AQEsdcoaMHttQ2g0Y7VyA5eUOLOw4IEraS2l+meD30pHx5ZQJxGjtAIDBokmEJ8RCe92tqo+Me0OOc6xurBnFCXmsr99ReAOrafRm1rnydu9Z9E07brL6pgfwzqWjuC3nWtEMqrd+c9+/+wRYKQlGM85EzXpOjLmM1FxsCsqC98EIHT2/dPwcrv+ktIt4eJtB7p7y4mxbgIsYBToRlAt1Z5tw3W3ijzWKovCrD36Hb1zHbUGNYDHiNL4esZLzU93QqS5TLH8LGzcjJKEBPX3HkF11BZNtjkfc3iLrXDjTcQH7Cnfzfl9sXy2WQhsxv8mC2L37MAvAboiFFlizhpxGjnNMSEWPQEwlRVF4qeu4S+rMS13Hcddm8Z54cO035uewMbTOm0nnu0BSsJtxJmrWc2LMZSQyUqN0E1SFRqfHhgS9bBEAd9gMpDezDvAry+htMR2xouYaicaat5KS3vpESRPOhEvOIzk/1Y9XYxsPoOga9BpPYDjLiGzzaYSYrbz2TWldV5NOiO1HnG4cABCyMM95P7375hBRVoRcFdYhD5S1eI6xpc7Qi+HcUSiOngvpN7YykjT0tdRXSUm2JwjBbMTdUfNYI8ZcRiq3C3/0uV6p3F4GzYZoWR/R+cKb0fRl2Glo4842EZR+XSxjvmWX+GNtcXoC/13tKEH239Wv4GCqay30YDHhTPhMQiLn59qHjqpPC3hv2LjZ5feCylSYoyMBOCLeXNFh7UfGvbEWzzF/qTNiEEi/eUt3oShqtaSk2+RYb+9VE2oea8SYy0j1hSZcf2in0s1QFXSfeVtEIljgYkrpco3f3HaP1224mnt/1J1rwrU3sY81IauiAsB73ecwYHYskzxgHsXp/kZVlOjienEh5+f6QLApjnf99fKJD3H9oWsCbs96Yi2eY2IshuMPMfuN1sOjHSedy94zJ8euFdQ81ogxlxG73a50E1SHe58Fu0H3hRgR5TmOpnpxZlrU9BKKovDXluNBv+JcIGW6yPlJ4AMZL/whfSYMsfvNWVKSoecvNB/B7QXBpeeBoOaxRoy5jOy+dqvSTVAd3vrMW/6cWky6ULia6usO7Yc2Klq043pbUCMYVpwTq2YuOT8JfCDjhT+kz4Qhdr/JkRevNGoea6FKN2A90VDXqnQTVIe/PtPo9M4fwGHSAil7tVZoqhV3rNELapQnlzp/ChPzUD/SLOpxuEJ/z8yyh4HmQ5Lzk8AHMl74Q/pMGGL3G50Xv8VQ6vwpTshD3Zgyei4Fah5rJGIuI5YFflUACPz6jG+pqLWM2GPNW0lJOZG6VBc5Pwl8IOOFP6TPhCF2v8mRF680ah5rxJjLiJpnCSuF0D7zZtKB9WHUK3aof6zJXTOXnJ8EPpDxwh/SZ8Ig/cYfNfcZSWWRke7OfqWboDrE6DNv6S5rOe2lp0N9Y43te3H/7qSEnJ8EPpDxwh/SZ8Ig/cYfNfcZiZjLyNTkrNJNUB1i95mvJYyZqD2qPq2CsRZsC1iQ85PABzJe+EP6TBik3/ij5j4jxlxGNm1Zn4tKBILUfcZmBNeCWS+rCK6xFmwmnA1yfhL4QMYLf0ifCYP0G3/U3GfEmMvIxPgUUtMMSjdDVSjRZ94Mo3uuujvBZNxNY1NISZe333ylBQWbCWeDnJ8EPpDxwh/SZ8Ig/cYfNfcZMeYyMjZiArYo3Qp1EUx95s9c+jPubEhl5sdGTBB76guXfHw1GHBvBNNYIwQ/ZLzwh/SZMEi/8UfNfUaMuYwUFuco3QTVoaY+42tKvaXMiEFBsk70favZdHNBTWONoDxkvPCH9JkwSL/xR819Roy5jCwu2pRugupYy30mpdGlIsxr3kiLzVoeawTxIeOFP6TPhEH6jT9q7jNSLlFG+nuHlW6C6iB9JgzSb/whfUbgAxkv/CF9JgzSb/xRc58RYy4jWTlpSjdBdZA+EwbpN/6QPiPwgYwX/pA+EwbpN/6ouc+IMZeRyEiN0k1QHaTPhEH6jT+kzwh8IOOFP6TPhEH6jT9q7jNizGWko71X6SaoDtJnwiD9xh/SZwQ+kPHCH9JnwiD9xh819xkx5jKSnEom4/GF9JkwSL/xh/QZgQ9kvPCH9JkwSL/xR819Roy5jCQZEpRuguogfSYM0m/8IX1G4AMZL/whfSYM0m/8UXOfEWMuI82NRqWboDpInwmD9Bt/SJ8R+EDGC39InwmD9Bt/1NxnxJjLSEKiTukmqA7SZ8Ig/cYf0mcEPpDxwh/SZ8Ig/cYfNfcZMeYykleQpXQTVAfpM2GQfuMP6TMCH8h44Q/pM2GQfuOPmvuMGHMZqatpUboJqoP0mTBIv/GH9BmBD2S88If0mTBIv/FHzX1GjLmMRGujlG6C6iB9JgzSb/whfUbgAxkv/CF9JgzSb/xRc58pbszb29tx33334bHHHvO53dGjR/H9738fDz30EF577TWZWiculxvalW6C6iB9JgzSb/whfRY4RM8JviB9JgzSb/xRc58pbswjIyPR19eHpaUlr9sYjUb89Kc/xaOPPorHH38cv/jFL9DW1iZjK8Xh+d8fUboJqoP0mTBIv/GH9FngED0n+IL0mTBIv/FHzX2muDHPyclBZmamz22eeeYZXH/99c7f9+/fj9/+9rdSN010QkJClG6C6iB9JgzSb/whfRY4RM8JviB9JgzSb/xRc5+FK90AwH8Hnj9/Hp/+9Kedv2dmZuK///u/PbajKAoAMD+3IG4DRSI8Igxz5nmlm6EqSJ8Jg/Qbf4K1z2g9o/Ut2CF6TvAG6TNhkH7jT7D2GRc9l9yY//CHP0RzczPr3773ve9h69atfvcxOTmJxMRE5+8ajQZms9ljO/q1Q7s/J6yxMrB78yeUboLqIH0mDNJv/AnmPjObzYiLi1O0DUTPXQnm8RKskD4TBuk3/gRzn/nSc8mN+Y9//OOA92EwGGCxWJy/z8/Puwg7TXp6Ovr7+xEbG6vqxxgEAoFAQ1EUzGYz0tPTlW4K0XMCgUAIAC56HhSpLP7YuXMn+vv7nb/39vZi165dHtuFhob6zW8kEAgEtaF0pFxMiJ4TCIT1jD89V3zyJ8Cea9PU1OScqf+lL30JJ06ccP7t4sWLuP/++2VrH4FAIBC4QfScQCAQhBNCKTyj6NKlS/j85z+PlJQUPPXUUygtLQUAPPDAA9DpdPjZz34GAHjppZfQ3NyM6OhoVFZW4o477lCy2QQCgUBwg+g5gUAgBIbixny90d7ejscffxyFhYV45JFHlG5O0DI2Noaf/vSnSE9Px9TUFB599FGEh6si80pRlpaW8NJLL+Hxxx9He7t6F1iQk5deegkPP/wwFhYWcN999+GJJ55AaGhQPEwkBDlEz7lB9FwYRM/5sxb0XF2tXQNwWYCDAHzqU5/C5z//eXznO99BVlYWfvKTnyjdJFUwOzuL1NRUGI1GpZuiCjo7O9HT04PW1la88cYb+MMf/oA//vGPSjeLoBKInnOD6LkwiJ7zY63oOTHmMsNlAY71TkNDA65cuYItW7YAAG688Ub8+te/xsrKisItC370er0zfYDgH4qi8L3vfQ9arRZ79+7FZz/7WdTV1SndLIJKIHruH6LnwiF6zo+1oufEmCsAKf3lm/PnzyMtLc35e2ZmJiYnJ9HZ2algq9QDGV/cKSwsdPl9bm4O+/btU6g1BDVCzjffED0PDDK+uLNW9JwkeYmMGAtwrHfYFiABwLoICYEgFrOzsxgeHsa//Mu/KN0UQpBA9DxwiJ4TlEDNek6MuciIsQDHeodtARIArIuQEAhi8Ytf/ALPPPOM6iYKEaSD6HngED0nKIGa9Vx9LSasedgWIElNTUVOTo6CrSKsZf7nf/4HN998M/Lz85VuCoGwpiB6TpAbtes5MeYKQCpU+qaiogK5ubm4fPkyAOCDDz7AV77yFZJrxxEyvvjxt7/9DSkpKdizZw8A4J133sHCwoLCrSKoBXK++YboeWCQ8cWPtaDnJJVFZi5duoSGhgaMjIygtbWVzLj2wksvvYTHHnsMmzZtgslkwg9/+EOlm6QKpqen8eqrrwIAXn75ZXz84x9HZGSkwq0KXg4fPoz7778fYWFhAAC73Y4DBw7glltuUbhlBDVA9JwbRM+FQfScH2tFz8kCQwQCgUAgEAgEQhBAUlkIBAKBQCAQCIQggBhzAoFAIBAIBAIhCCDGnEAgEAgEAoFACAKIMScQCAQCgUAgEIIAYswJBAKBQCAQCIQggBhzAoFAIBAIBAIhCCDGnEAgEAgEAoFACAKIMScQCAQCgUAgEIIAYswJBAKBQCAQCIQggBhzAoFAIBAIBAIhCAhXugEEQrAyNTWFH//4x1heXkZHRwc++clP4p577sG3v/1tUBSFqakpPPLIIygrK1O6qQQCgUDwAdFzglogxpxAYMFms+GBBx7Az3/+c6Snp6O3txd5eXl4/fXX8atf/QpGoxEf/ehHkZCQgN/85jdKN5dAIBAIXiB6TlATJJWFQGDh2WefxQMPPID09HQAQFRUFCiKQm5uLvLy8mC321FUVIRPf/rTzvdQFIWXXnoJDzzwgFLNJhAIBIIbRM8JaoJEzAkEFvR6Pfbv3+/8vaamBgBwyy23AABuvfVW3Hrrrc6///nPf0Z1dTU++OADbNq0Sd7GEggEAsErRM8JaiKEoihK6UYQCMHOf/zHf+Cpp57C5OQkYmNjvW537733AgCef/55eRpGIBAIBF4QPScEMySVhUDgwMmTJ3HNNdf4FHECgUAgBD9EzwnBDDHmBIIfJicn0dDQgAMHDri8/txzzynTIAKBQCAIgug5IdghxpxAcGN8fBw7d+7EI488AgA4fvw4VlZWsHPnTpdtzp07p1QTCQQCgcABoucEtUGMOYHgxvvvv4/q6mpERETAYrHglVdeQXp6Oubm5gAA8/Pz+NrXvoYf/ehHyjaUQCAQCD4hek5QG6QqC4Hgxi233IIvfOELGBsbw5e+9CU8/vjjmJ2dxcMPP4z3338fNpsNDz30ELKzs5VuKoFAIBB8QPScoDaIMScQ3IiJiWHNNzxx4oQCrSEQCASCUIieE9QGSWUhEAgEAoFAIBCCAFLHnEAQgb///e9444038Nprr4GiKHzsYx/DnXfeiX/6p39SumkEAoFA4AHRc4KSEGNOIBAIBAKBQCAEASSVhUAgEAgEAoFACAKIMScQCAQCgUAgEIIAYswJBAKBQCAQCIQggBhzAoFAIBAIBAIhCCDGnEAgEAgEAoFACAKIMScQCAQCgUAgEIIAYswJBAKBQCAQCIQggBhzAoFAIBAIBAIhCCDGnEAgEAgEAoFACAKIMScQCAQCgUAgEIKA/x/fVIboYN6y7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 880x560 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1_example = X1D[3, 0]\n",
    "for landmark in (-2, 1):\n",
    "    k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n",
    "    print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))\n",
    "\n",
    "rbf_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"rbf\", gamma=5, C=0.001))\n",
    "    ])\n",
    "rbf_kernel_svm_clf.fit(X, y)\n",
    "\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "gamma1, gamma2 = 0.1, 5\n",
    "C1, C2 = 0.001, 1000\n",
    "hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n",
    "\n",
    "svm_clfs = []\n",
    "for gamma, C in hyperparams:\n",
    "    rbf_kernel_svm_clf = Pipeline([\n",
    "            (\"scaler\", StandardScaler()),\n",
    "            (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n",
    "        ])\n",
    "    rbf_kernel_svm_clf.fit(X, y)\n",
    "    svm_clfs.append(rbf_kernel_svm_clf)\n",
    "\n",
    "plt.figure(figsize=(11, 7))\n",
    "\n",
    "for i, svm_clf in enumerate(svm_clfs):\n",
    "    plt.subplot(221 + i)\n",
    "    plot_predictions(svm_clf, [-1.5, 2.5, -1, 1.5])\n",
    "    plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "    gamma, C = hyperparams[i]\n",
    "    plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}