{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9345f6d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "21cbf23b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Year</th>\n",
       "      <th>JAN</th>\n",
       "      <th>FEB</th>\n",
       "      <th>MAR</th>\n",
       "      <th>APR</th>\n",
       "      <th>MAY</th>\n",
       "      <th>JUN</th>\n",
       "      <th>JUL</th>\n",
       "      <th>AUG</th>\n",
       "      <th>SEP</th>\n",
       "      <th>OCT</th>\n",
       "      <th>NOV</th>\n",
       "      <th>DEC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1879</td>\n",
       "      <td>44.3</td>\n",
       "      <td>43.7</td>\n",
       "      <td>57.6</td>\n",
       "      <td>58.9</td>\n",
       "      <td>69.8</td>\n",
       "      <td>74.9</td>\n",
       "      <td>79.6</td>\n",
       "      <td>73.9</td>\n",
       "      <td>68.7</td>\n",
       "      <td>64.3</td>\n",
       "      <td>53.9</td>\n",
       "      <td>51.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1880</td>\n",
       "      <td>54.3</td>\n",
       "      <td>51.4</td>\n",
       "      <td>55.5</td>\n",
       "      <td>63.4</td>\n",
       "      <td>71.0</td>\n",
       "      <td>76.5</td>\n",
       "      <td>79.2</td>\n",
       "      <td>76.8</td>\n",
       "      <td>69.4</td>\n",
       "      <td>60.8</td>\n",
       "      <td>47.2</td>\n",
       "      <td>42.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1881</td>\n",
       "      <td>40.1</td>\n",
       "      <td>46.6</td>\n",
       "      <td>49.1</td>\n",
       "      <td>59.1</td>\n",
       "      <td>70.8</td>\n",
       "      <td>77.8</td>\n",
       "      <td>81.1</td>\n",
       "      <td>78.8</td>\n",
       "      <td>75.5</td>\n",
       "      <td>67.2</td>\n",
       "      <td>52.6</td>\n",
       "      <td>49.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1882</td>\n",
       "      <td>48.8</td>\n",
       "      <td>52.4</td>\n",
       "      <td>57.4</td>\n",
       "      <td>64.8</td>\n",
       "      <td>66.1</td>\n",
       "      <td>76.6</td>\n",
       "      <td>75.9</td>\n",
       "      <td>75.8</td>\n",
       "      <td>71.7</td>\n",
       "      <td>65.8</td>\n",
       "      <td>51.1</td>\n",
       "      <td>41.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1883</td>\n",
       "      <td>43.0</td>\n",
       "      <td>50.2</td>\n",
       "      <td>50.2</td>\n",
       "      <td>61.6</td>\n",
       "      <td>67.4</td>\n",
       "      <td>76.4</td>\n",
       "      <td>80.1</td>\n",
       "      <td>76.2</td>\n",
       "      <td>71.3</td>\n",
       "      <td>66.0</td>\n",
       "      <td>53.7</td>\n",
       "      <td>48.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>2016</td>\n",
       "      <td>42.4</td>\n",
       "      <td>48.5</td>\n",
       "      <td>60.5</td>\n",
       "      <td>64.1</td>\n",
       "      <td>71.1</td>\n",
       "      <td>81.0</td>\n",
       "      <td>83.4</td>\n",
       "      <td>82.7</td>\n",
       "      <td>78.8</td>\n",
       "      <td>69.6</td>\n",
       "      <td>58.9</td>\n",
       "      <td>48.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>2017</td>\n",
       "      <td>52.0</td>\n",
       "      <td>56.1</td>\n",
       "      <td>57.7</td>\n",
       "      <td>67.8</td>\n",
       "      <td>71.1</td>\n",
       "      <td>76.6</td>\n",
       "      <td>81.2</td>\n",
       "      <td>79.2</td>\n",
       "      <td>73.8</td>\n",
       "      <td>65.7</td>\n",
       "      <td>56.2</td>\n",
       "      <td>46.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>2018</td>\n",
       "      <td>40.4</td>\n",
       "      <td>57.3</td>\n",
       "      <td>53.5</td>\n",
       "      <td>59.8</td>\n",
       "      <td>74.8</td>\n",
       "      <td>79.8</td>\n",
       "      <td>80.8</td>\n",
       "      <td>79.7</td>\n",
       "      <td>81.0</td>\n",
       "      <td>67.4</td>\n",
       "      <td>50.3</td>\n",
       "      <td>48.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>2019</td>\n",
       "      <td>45.9</td>\n",
       "      <td>53.8</td>\n",
       "      <td>55.4</td>\n",
       "      <td>65.3</td>\n",
       "      <td>76.4</td>\n",
       "      <td>77.7</td>\n",
       "      <td>82.2</td>\n",
       "      <td>82.5</td>\n",
       "      <td>82.4</td>\n",
       "      <td>68.4</td>\n",
       "      <td>52.5</td>\n",
       "      <td>51.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>2020</td>\n",
       "      <td>49.2</td>\n",
       "      <td>49.9</td>\n",
       "      <td>61.6</td>\n",
       "      <td>61.6</td>\n",
       "      <td>68.9</td>\n",
       "      <td>76.8</td>\n",
       "      <td>82.1</td>\n",
       "      <td>80.9</td>\n",
       "      <td>73.8</td>\n",
       "      <td>67.3</td>\n",
       "      <td>58.9</td>\n",
       "      <td>46.1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>142 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Year   JAN   FEB   MAR   APR   MAY   JUN   JUL   AUG   SEP   OCT   NOV  \\\n",
       "0    1879  44.3  43.7  57.6  58.9  69.8  74.9  79.6  73.9  68.7  64.3  53.9   \n",
       "1    1880  54.3  51.4  55.5  63.4  71.0  76.5  79.2  76.8  69.4  60.8  47.2   \n",
       "2    1881  40.1  46.6  49.1  59.1  70.8  77.8  81.1  78.8  75.5  67.2  52.6   \n",
       "3    1882  48.8  52.4  57.4  64.8  66.1  76.6  75.9  75.8  71.7  65.8  51.1   \n",
       "4    1883  43.0  50.2  50.2  61.6  67.4  76.4  80.1  76.2  71.3  66.0  53.7   \n",
       "..    ...   ...   ...   ...   ...   ...   ...   ...   ...   ...   ...   ...   \n",
       "137  2016  42.4  48.5  60.5  64.1  71.1  81.0  83.4  82.7  78.8  69.6  58.9   \n",
       "138  2017  52.0  56.1  57.7  67.8  71.1  76.6  81.2  79.2  73.8  65.7  56.2   \n",
       "139  2018  40.4  57.3  53.5  59.8  74.8  79.8  80.8  79.7  81.0  67.4  50.3   \n",
       "140  2019  45.9  53.8  55.4  65.3  76.4  77.7  82.2  82.5  82.4  68.4  52.5   \n",
       "141  2020  49.2  49.9  61.6  61.6  68.9  76.8  82.1  80.9  73.8  67.3  58.9   \n",
       "\n",
       "      DEC  \n",
       "0    51.5  \n",
       "1    42.1  \n",
       "2    49.6  \n",
       "3    41.4  \n",
       "4    48.0  \n",
       "..    ...  \n",
       "137  48.9  \n",
       "138  46.8  \n",
       "139  48.6  \n",
       "140  51.2  \n",
       "141  46.1  \n",
       "\n",
       "[142 rows x 13 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=pd.read_excel('https://o2.eas.gatech.edu/data/ATL_MonMeanTemp_1879_2020.xls',skiprows=1)\n",
    "df # display the dataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "34bac87d",
   "metadata": {},
   "outputs": [],
   "source": [
    "MonMeanTemp=df.to_numpy()\n",
    "X=MonMeanTemp[:,0]    # X is Year\n",
    "Y=MonMeanTemp[:,8]    # Y is August temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "34b96788",
   "metadata": {},
   "outputs": [],
   "source": [
    "# linear regression using pseudo inverse OR left divide\n",
    "N=np.size(X)\n",
    "m=21\n",
    "A=np.zeros((N,m))\n",
    "z=(X-np.mean(X))/np.std(X) # z-transform x axis \n",
    "for n in np.arange(0,m):\n",
    "    A[:,n]=z**n\n",
    "\n",
    "#x = np.linalg.lstsq(A,Aug,rcond=None)[0]\n",
    "Apinv=np.linalg.pinv(A)\n",
    "#Apinv=np.linalg.inv(A.T@A)@A.T\n",
    "x=Apinv@Y\n",
    "\n",
    "#polyfit \n",
    "C=np.polyfit(z,Y,m-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4640061c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate Yest\n",
    "Yest=A@x\n",
    "Yest2=np.poly1d(C)\n",
    "\n",
    "# plot the line\n",
    "plt.plot(X,Y)\n",
    "plt.plot(X,Yest)\n",
    "plt.plot(X,Yest2(z),'--')\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('Atlanta August temperature, deg F')\n",
    "plt.legend(['Original data','pinv','polyfit'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "648b3831",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10th order polynomial fit\n",
    "C=np.polyfit(z,Y,10)\n",
    "yest=np.poly1d(C)\n",
    "plt.plot(X,Y,'-')\n",
    "plt.plot(X,yest(z),'--')\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('Atlanta August temperature, deg F')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "31bae897",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "393c8364",
   "metadata": {},
   "outputs": [],
   "source": [
    "m=5\n",
    "Ym = signal.convolve(Y,np.ones(m),'valid')/m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2216cae7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hm=2\n",
    "plt.plot(X,Y)\n",
    "plt.plot(X[hm:-hm],Ym)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('Atlanta August temperature, deg F')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b1cef567",
   "metadata": {},
   "outputs": [],
   "source": [
    "Yhat = np.fft.fft(Y)   # get Fourier coefficients\n",
    "N    = np.size(Y)      \n",
    "freq = np.fft.fftfreq(N) # get frequency axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e88fa84c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-11-15a6544ffb10>:1: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  pd=1/freq      # calculate the period\n"
     ]
    }
   ],
   "source": [
    "pd=1/freq      # calculate the period\n",
    "mask= (pd < 5) # logical index with period < 5 yr\n",
    "Yhat[mask]=0\n",
    "Ylf=np.fft.ifft(Yhat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "01eb12cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,Y)\n",
    "plt.plot(X[hm:-hm],Ym)\n",
    "plt.plot(X,np.real(Ylf))\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('Atlanta August temperature, deg F')\n",
    "plt.legend(['Original data','5-yr running mean','5-yr FFT filter'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "44555c0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.image as mpimg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a0d88e4e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the size of image array is  (1092, 1122)\n"
     ]
    }
   ],
   "source": [
    "img = mpimg.imread('flower.png')  # get the picture of a flower\n",
    "img0=img[:,:,0] # just extract one color\n",
    "plt.imshow(img0,cmap='gray')\n",
    "plt.show()\n",
    "N=np.shape(img0)\n",
    "print('the size of image array is ',str(N))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "b4337ac0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the image compression is 99.18382271323448 percent\n"
     ]
    },
    {
     "data": {
      "image/png": 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25/vfzoNAEPO/cyge1paG5B/PcuRSqVSS4nM+xKE4Y8kEdMKaOnpY0scxuiuMqSsJJ2XdFYyTwN0EHwv39yFDQWokhLlypP2ORNz1jPJS1p5Yr7LImJO3ZxVXNCD1PM+T4sBVoe2MgSt66n/uyVHp8UzE2IEIHx1APsVZUFdSCjlNTk4myO3cCZYWa4518o72wazX6ynEt7e3p3q9rtHR0eSuOFkYJ5MrNMJpTk4ilMfHxwkh1GonaxOYsLQXq039Hc56P/AOt2LUwRUPCUUgDYgz5ygQRqkYuvVnSUOlEzkf+sQRh09ot6wR0nsfevHELM+YlJQUBobG2x9/qF8cJ7/H1xXRvyCHiDDKCoqqrE+c/HcFx3vi+IJUPamMJQ/uQiJr3oeusJ6kNKRzojjIxfDJ636k+6Fu5ZhITqJ5qG90dLSACvw+aYg4gHFYZo/A8E6e0+12dXBwoIODA01PT6csPtaqoBjKJhNISFIKU8IljI+PF5CJ55IgdNFtow0ISb/fLxCAvEdSsjI8n4mFcoVwjolTTGaQCfX3/AjnNiIpx7sjt0GJPJD0uKLwSR0Jy0hKO38VIwuRH3LOgHFG0TjJ6LyZ17sMIdEvXMNn3q+ubN2FdAPhCMsNkitrZAFUSeKho81YeHbZd17OjeKI4TIXDLdiWFqiK2hSXAUPLyLwZBa6pXALiAYHOXj0hmsgKPGD9/b2ND4+XmDGWWyGi+RuFsLsVgNoXKmcZM66YkGhebTEoT91csviboqjCq6NEQH38bHSrPFxdwIFAxx2iww3QPvcffDiCvtJvrVPGJ+QMcM2EssUz9Whn7DayJFbf+8DxtonOu13kjbKJ23yv/2zs6JJkSDHgLqi9WdRR3fxHHU7IR05wrL+P9euCo33vIU4yF5cUJ0c9I7DqkAUIhCSClCfgQLlwFXgCpHL4deTEYq7wrJqyK39/f202M5hMm1lkiM0e3t7Bd+aSe98DkoJwsvbUDZBnTz1JfAgKvp1b2+v4K+jHA8PDwsrR10RgQAd+URLzPPcH/exLYPsLsSu4LnWsyDPsqT8+MSnH6Ridi3j4kgDUplwuTQkVf3ZcGbxObhvPu6uNGirF9qIcXGlzfOi++ZKw1EWqJLxcTRHn5VxeWXlqVccFO/c6INGBYHwOuR2uOkwHvTAYEPAYkUc1rpPS2SH57nlxXIfHBwkF6bRaKTNX1jZ66jDJ4oz/jzLI0QUjwDgHlFn39wH6+wkaVQsEGf8zzt9pzFSmCcmJtKKZSfScK8cUpO8h+A6v+B9yj0+kc4iNWMkpayUkawoZZ/c7mo4YvM6ICce2fCxwjC4Gx2teYz6OBHr7XdZ51p3qxhfdz9j6DwqE2QUheVEMP3H8zGoZUrMy7lRHG6FXYm4hXbXQRp2hqMH17KgEiyudIIi6vV6ilK4C+BkFOFH981rtVpyV1iBy7L7ZrOp3d3dtEjPFxEhaO5mSUP/dn9/PwkPlsf7xRl9kIFHglwI+B3JWecWQG1k1Xq4luxcFg2Ciggrev8zGamz97EvECtj8L2eZVzBWa6I30txojgqandF3EB42J7iiiW6XExkN1gO/8tIY97Pb+cXvA3OYTn/hjL0CBZ18fujEoyupPOF/H6S0pDOkeJAwBwxuNaVimnXDlnx5aMikFSA6vwP/MSC4hOinI6Pj1NWKPtisCcHcB7BZrOfer2uVquVQrZYYuAv7XHFwf3wKpQ4yV2xYS2At25tXZFwrxO8THTQDZ+zgArFRbIZrpnnN8QJ433tCIgxiXxEVBQOs2m7K5mzLKP3qU8UlJRPXFL7uc+VCfegvJ08dTc2vhe5i6ioDCVxD26mIxS+j2RuWfujYfS/vY9Q7LTFSWpJBcV4VjkXisMF3eGek5hYB09tdk3KxAH+IywIMAlUrIp1XgPBAGH0+311Oh31+/0UK8cHdsKViMjh4aFGRkbSTmZOijlP4YPrbhYWOsJP+iTWj8ng/IALl5NhbvWdm/DJQZsJxeZ5nghl5wi83s4b+MIzFKNHAHwSx6iK1yG2/Unhw6h83GpHnsGVm9/r//s+HihN3h+3cESufKL7ZC77LJKhrkBd3on+USL3F59/FpLzqI0rF+eMzjU5SokDHC0TkwwtT2YiKMQ1syMPsi+lol/MpOc6Z795NqnwhHVxD1yZIXQkbDWbzeSu8E5n430hm0dZQANHR0cpl4M6ep+4IFF8wkTlBKKAgB0MhovwXLlGF80hdsy/cD8caM+aGJQqhT4vE9IyuO19xvufZB1dIUcikuciW+62SSoQkY5MfJGiy6a3/yzlEZVyrKv/RJeC4vvWRoT3pL5wBeFGJaKgSNqWlXOjOJytjxMDpYFVZlJ3u92CQDs89oiMQ2gm+t7eXlpN6EjHSTQs6cTERNrsFTfHeQoKCVWkofM9AkKyF4oG4XD/HIvDqtxut5uS4tyKul/vaMP7zgUHhAZHMhgMEuGKIHGvZ9q6O1imsPjN5GJspCcnNZWNf1kOSJwo0VKDNiKnE625W1lHJC47Z9XNi7fH3+t1ZbzOGhdvb0SA0nBTbtobuSXvex9j2ulRMOroxsvvP6ucC8Xhgx0hvVTcxAYBYGdxCtyDJygdHR2lnZIqleFS/Xa7nbLtPHMTl6RSqRQsKSsRydvA8jvRhV/NBitYeVCPIw6iNhC6Ef6z+RBcCcJAX/n+IqAwd1mcA8HtmJubK6AYdysICUtKKf9l5B5/R0TCZ+5GOannKOAslIEMOArynAWKI7hoRV1J+ucxfwO05/czOZ1nK0M7kX/hebGf3H2O8hwnsEd+znqXc1mRXI3ch7cToxtJ448r50JxeIlwKw6uNFQKnGFSqVRSCjiTFIvgloczOTY3N9OkBFkgMKSfO+rodrva2dlJ74iJOu5mVavVlE0aSUXpcbIO5OEcim/P726NTwjcJhQHgsGz3GotLCxoeXlZo6OjevDggW7evKmtrS1JQ8vuCoqMVb5nHFBEoD/e6e91AhZhd+VCYWxiv4AAeRZugxf+j/IR5cbH0Cc0dUE5MOlQ3h6ZQHa47yxF4s9B9rxO/jyQH4X6usL2CFAc81gnNxZlIXDp8VW4fykQh/T4FmtScQ0L/0drgGX3hCw62OEikYO1tTVtbGwkqxsnhLPeDnFZPl+v1x+zJLhYvV4v7a7E53t7e5JUmFQuVCASIkW8q9/vFzYU8p3MfDIj6DHbkWePjo5qcXFRn/vc5zQzM6P3339fOzs7WltbS7vE88zY5261nDdya8mkdN4jkttYSUcEIDyvq4dD+cyRlhePyPC9c0/0lZPCLmuOcpETxsgJYe/XMlmMMux96KRovEYaorSYyOcoBMVHPzjCjP2C4ot8jrsurpieVM6F4iiLm5dBN773rEg0M+dPkOAFDEcY+v2TTMnd3V3t7Ow8hgJ4J4OdZcPNZuMmNXS6Cz3kIBaWg6UcFcUBZ10MmwPhNkGgsu09bcMSk/5dr9dTchL18Y2OIPrm5ua0srKiixcvqlar6eHDh9rd3dWjR48Sx0GfejYtdXW3g/a7csTFK4syOM9BO8rIw7P6lGfQZ66knCh2xQcCclKUaxwZeD08cuRZpGdNaJdRRzmuLOjDqLRc5nxpAf3gnBufgYg99M7zHTG58mDsXKn7mD6JzzkXiiOyymddw4CMjo4mEhIrCNlZr9clqYAKHKk46ckkA2FIQxjJBEWoyONgwjtzTR6A73dBijiKwOvueRwog8h0g5rgSajX5ORk+oH0dV/cFaWktHEzbW21WnrppZc0GAx08+ZNffTRR1pfX091gyNCUPmfvz0PxLkL6sCkQ9GizOh7Xw/k7gITgn7xhV+e6u7+uyNL6kj/MwEdXUSUUMa98JmT246kkBGftPHdEWlEotTfH41UzENxhUICGn0V0YVzXJH89fc6f3RWOReKQ3o8Jh21NILgiqPb7SYr5rs3+T3APLJLSWrCrfANTtxiMJhMJnxtt7YoACcGpeGO3yixPM8LGw5Flt3b7mtr/FAduBO2i5OGu5J5GNcjS96G4+OT4yIODg40MzOj119/XTMzMxodHU0nhtEnQH1IYpQOCkBSQVEipB4CB4XwTG+z8wz0h7s03i/8drfSLTpcS5yQrmSi+xsNSSSDn0QgRvJVGqKEWG9XLu6SnMXN0G8egvV6edKeI283Oq4Mvb1R1spcLS/nQnE8ibChgxkcXBQ203Hh9ZR0tLdvhMyaEoQeVOGCJg0VAe6O5354Aa2MjY0lKyoNd586Pj7Wzs6Otra21Ol00qRyKIwguDJCSREWhQQl4kGeCHUcDAZpHcvR0ZGmpqYKCT4otYODg3S+bavV0sTEhI6OjrS2tqatra30zCzLEqKgfbTJJ4ArRN5DX9IuXyTGbmb0Q7TStDWSeDFiQV85yomhyjJSPf7P/T7BnX8pUyCRkIyfgY7KZNldDTcyUaZitjH1IsfGv3N5j2kFZ/EwoJYnEaTnQnHQuJgz4NwDv+EROKKPiIqkFDKN60QQ1ImJiZQW7lvwScVTzDzkGsk7H3BQjG8YOxgM0gTJ8zzt4hVRgVvbGKZlcEFRTDpJiTz13dv7/X7h/Fj3zR2p0VbunZyc1MrKiq5du6bV1VU9fPgw9QuWHeUaXT/nDyJHxDhWKpW0boccGN9YicnAamffysDJ0sghUByJ8D5HjchW2SSKXIO3yz/nb383MgLycYXhJT7LCeHIMTgByzu8TaAtz0VxOXVC39sT5eGs98VyLhSHVG4FYme4QIyMjKjVaml8fFyNRiNFIXzrQYTTE5+mpqZSAphDXHchnChz35T3EzZ09OAKhvpSH8K4EJy4ER4yBdoD1+FtnMSVlHJR4FmwMigHlI6kwrPyPE8ZsNvb2ylNfnp6WtevX9fGxoZ6vZ42NzeT0uD5oBmIU/ex4T180jABfcGfk6+SkvKDp/JT9egPlFDM44hEn9fV3doYXYj3+I9UXFQZx9+ziz2ic5abA1rj/Z57w1j4coSz1sO4InRXt1arpd3KqQN1j3MmuibO+5xVzoXiiKSWQ9kyNIKS8CxOt0xoZq5z3oAdr7CqXgdPqOKdZRZOGkZF3BL7upejo6MUKXGLxYSHKPSt6n1v0bJMT/oCyxwJPRAV62jciuJ6oDxIp6/Varp06ZK63W5SiOvr6+k9uD8oVFwNxgPhd36JiYTyo/9ZPMfeINSLcSpzXejrMnnxEhOqzgrD0idMWFCPo88yfgAU5NGjskiZv9f5FXfn/DuXJ0cG/n1ULI5e6X/6zwnnSJr6uz+unAvFQYma1TU5jfWkHr+P3wg1G9GgCNxPhyx0S87EKNunMkJ/32HJUYMPFAfkkAXqOQoIC4qDOvn7fFXv3t5emmi+oxmWhvpNTU2lk/B4p/vIKC1P8KpWq5qdndWNGze0t7enjY2NxHegvOlXV860l76D8Y99BbpD2eFGxnC5o7ZIHvtY8Fzqzrg/aTKUwXZXHoyfo4l4D+/z9sXQqP/EbFB3K7ytTnaWKUx3Celr3odC51m+jAEl4aRtmbt3VjlXisNL9CuZKCgNiDlpGB5zlhmLzrJ3ohFOokbh9EGO3AafM1CDQfEAo8iXkG26s7OTFARL6GMOhFRcu5BlWcrRgGBl2bv3De2gn8rIYSJO3o/AaE8MmpmZ0ZUrV/TgwQM9ePCgsAEuK4qpZwyduoVG+F254LIwfijEqakp5XmubrdbyEFwRRVlISKLqGSi1XUl4c9yboKx8LEnnBwJWHdNvB8iyqAu7v66i+dK0t0v6h1RT5mLBvI4q04RqbnbE2U/lnOrOKSif+bWz318h3tYNeA9nIIf24fCcCKMd7mwej4DCopn+yCWKSEIzO3tbW1sbKQwmucguCB5ONetqSeg4aJ5ex2SopyA/e12W51ORyMjI2nR2cjISLqGd7j7ND8/rxs3bujBgwfa2tpSu93W4eFhygOhP7y+oBD6xK2ZuwNEiHyD5Hq9XnAt+B5fnQ2go9Jw4twtsfeJVL7DmF/j1pvP/fnIg6M6579cQTvajZyKj7W/z7mJWHfqh4Hw71zJeKTP3SrnPPw+V5pPKj+w4siybEXSP5R0QdJA0lfzPP8HWZbNSvrHkq5JuiXpb+R5vnV6zy9L+gVJfUm/mOf5b3/CdxX+j76Zd6yv84jMNBaNqMZgMEgC6/F/eASyGBE6BJPoBvDbhZ7B5/0IlhOJnU6nAPlRFg4VyxQIbUQ58ptNhTzBzK067hCTrVarpd3Y6/V6guIREWDdScoaHx/X1atXtbm5qZ2dHd26dSv1rYcJmVCRiI1j6RCc/gct1mq1FAUjWc7REO6Uh5UjxC/jMKKicTTmEw7Zisg2Et3OTThJizLBBWRtUQxNu/KK6Nm3XET+otJjjF3h+PMdtTpZ60rCn+kBhycpj0+DOHqS/g95nv/rLMumJX0jy7L/QdLfkfQ7eZ7/apZlX5H0FUm/lGXZq5J+XtJrkpYl/assy17M8/yJKaFlSqOMnPJBcrLOB1Ma+tuEX10pHB8fJ9jd7/cTB+HZnCAMyCfey29/H7kaPI8l5Z1OJ1lr3yFcUgEZIPwRaktKi+v48eiLK05S6UEVXLO3t5ciIfQDgu1EsLs/Y2NjWlhY0KuvvppI20ePHiVBQ1H7mpWI+nwcqYv/z29fNsCOamyjSOg2y7LHFvt5X/N853Ic2fG9uy0O6/kcBeR14jpf8+L5K1Emy5QY7T2LL2F83KC44oncidfZFaCHaN1t9uhPHJ8fmquS5/kDSQ9O/25nWfaOpEuSfk7Sz5xe9uuSflfSL51+/pt5nh9K+jDLsg8kfUHS17+f9zqki53HpHYhjCw0A05YFiIR6+XZlVhokqZY4+IWxFEN0RppiG4YODgMJwinpqbS3p2NRkNZlqndbmt9fV3b29spDOmukwtDu93Wzs5OOiITmMzz3UJB6hKxqFarmpqa0uLiomZmZgq5ER4NIMrCatbR0VEtLy+nfq7VatrY2CiQxLy3jMGP4yE9bhx6vV4hTEs0CeQBGsFVc0MhqXAAlk80fnt0BCXpk8knKTKDEqS4gnGuxX/TTs8B8mdEEtIVsC+ojCiN60CYEWk4X+PheEcWHLLlyMOf8XHlL4TjyLLsmqTPSfojSUunSkV5nj/Ismzx9LJLkv7Qbrt7+lnZ874s6cuS0pGC7nc7fHc4yQDS4U6EIuQICBmjFCwaA8ZKWnYmR4BZ/wGh6KFCFzbK4eFhWifT7/dVr9c1NTWVngMJ2Gg0UnQHZJJlWXKrIuLBTWGvDHIoTvu9wLWAmEjUQmBarZZmZ2c1PT1dCCO6u4WykIbJYqOjo1paWtL169fTRkLsyemW38PW9HHZxCkj+BiP4+PjRJbS74wnY+yhSDcCTo6iIGL0AqXkPJQjBH48M9lDryhHt+zeLv/f28z3Xm+UFJGxGPanDU7KRs4k8mnuLiIXnqkrFQ944v+P4zk+teLIsmxK0n8n6T/M83z3CS8r+6I07pPn+VclfVWSWq1W7trSG+QanA6E+CTNm/RxBgZlErWwNDwWkpT1Vqulbrerzc3NFDIkYYsEG3cLIhfCO4Ht4+Pjmp2d1cLCQiHfgUnB9oLT09OJs+CdjqyYPCgN51F4b7/ffywhC/RCFqlPnNN+L20L/eq8QK1W0+zsrC5evKh2u61Hjx6l+vlkNTkpjBtj6ROLSYPS84xX+ob2d7vdguCjMNw/d8TiSJI287f3gfT4PqlxkkKooxx9vJ1oL1OM0W2LbjdbJYCK3M1wdAQn5Mq+jGDl2Y7AaB/1jxGbqODLyqdSHFmWjehEafyjPM//6enHj7Isu3iKNi5KWj39/K6kFbv9sqT7n/A9j00KZ6/R9nwOZwAZGaMh7l/yHUQmA0EWaaPRSO4K3AN7biAo0pCIdcFw92hyclLT09OamZlRq9VKqIf0biIXtVpNjUYjKT3a5OQbpC6ra/Hh+W4wGKQJiGBjfYH27B/iq0xdaJhIZ20YBFk6Nzen2dlZ7e7uPraPql/rP5GEpK9QEO42gfb8rBtcEUdTzlUwztxHjk6ZInELHHkPz63hczgLTyKk30CK0Vi5YgRNeQTM0ZbnCUGAIxdx0yJHdRG9xO/pE18A6Z8hz5+0fJqoSibp/ynpnTzPf82++meS/rakXz39/Vv2+W9kWfZrOiFHX5D0x5/gPQULGP1JlAZa3slGBMyVA89kAN26jIyMpIxOrNPk5KQajYa63W4iQxlIPxwaYtQnGHCajMjp6emEHrxtPqlGRkbUaDTSoBNyRLBATJHA45rIa0gq5IfUarXkOk1OThZIP1cw/nw+o/1kxHIwU6PRSCe8Udy3dqXmk4jinzmhjVV1xR8JPtwvvvNrQGsgLU/jdqLR+xFUivKMpKYrA0cjKLlOp5OQIEoX2UQ+osxGpYFsujFEmYAYInfjY8W1Po7wevSFJxv6/OIdP0zE8SVJ/2tJf55l2Z+dfvaf6kRhfC3Lsl+QdFvSXz9t1LezLPuapO/oJCLzd/OPiahQEBTX7kz+uB8o57KiQWPeA1bLB57BwO9jcgPvOYSIie6TDb/b129gvT3XAkUjKUVkEE4nrbAs0pBsjZbZ3TGQUoTDFNoZs0S5hveNjo4WIhHUx61hGZk4NTWV1trQNlcEHkZ2Psqf62Qkys0jVr5gD+TBtgTsg+KuCCRw5C4ojhriu5EVT5Tz+8s+43mgm3q9nhQHUbLIw2BonHdwROAT2+voUZo4uSPJ6fyGczp8jmy5y8K4fVz5NFGV/5/KeQtJ+tkz7vkVSb/yg7zPib8YMsNST01NaWpqqsDAgzSq1WoaWAbM09MR9v39/ZQ/4ISo+87Oa7hVom5uIdzfZNBjdipC4qtAiWZ4ONfb7oLm5JcrD5ShW0lXGCAzlFicEM55lOXEVKvVRPYSuiUvhXd41IpxjIqJvnHC2glZ2k1iGBMEJe/KouwMGp7NBkP8jkv+nXtxJcQ4ufJ05OOkJPUiLQA5ZF8Y58UcOWFY3GVw99F32/d9N9xFjooE2c5OSXaXN3fDcJv92IePUx7nLnO0TMCr1WpyKZhs7ALu3IEn70Srg4CSdQqC8fUSTqi6j41Vd60dIS1KgefG+ri/LA0zKP3cFLfQWZYlKI6AuAJ0/oXr8zxP5B0rX6emphJq4T0IzlkkmQvq2NhYQh3wMoPBQPV6PbloHuYFObryoI7RJSHKhFEA+THZnej0Ce7ug+fOcNwFP54c5SQy4+7oApTn3BqIMSb+IZNk1LJBVLvdLpC4Xpy/klRK4scU+zKymd/u0jifIxX3b61Wq0l2HGl9XDlXisO1vjS0sOPj4wltSEprN1h2DiEYQ4R+Opc0FF4mF9YY98ZDdAiNE5CUyLJj4fiMAYrCDmHlVhNrQ1gSZePcycjIiLa3t9NWAO4PY50RRNyqyclJLSwsaH5+PllIrGGErdTDJ1HkZGZmZgqh80rl5HxZ+t7H0PvdhZ+/cVdI/sIlgdj2cLu7KZJSX0EAdzqdlOvi4+fHXCJLjmxwd2lPzK2gLa5kfIJ6hAMF6HwGO6qhQPjblQ/oi3q6i+e8jtcdGXO0yJ4w8FjIAO1C7p2n+7hyLhSHQ8SoOKThCfPVajXBQdwU1/BYZDbP8WXudBghQM8YhWh1LoJ6uaWISggB5j1odxbWkRUITEWw0P7+Pxsok+nJmbXT09MpD2NtbU37+/tJWKgHygVXIssytVotXb58WcvLy6rX648hDtqJYLmrxoTCP282mymR7N69e0n5OBEnDXdhc3/d+7LMYsNZgdYcdrvbg2UmSxaUsbOzo06nk8adDZSc2PTxivufuPw4+U3/uExGroK/UW6gvLGxseS6RBfEXVFHPK70vA7O43kBZRPGZn9cDKOvHo/Pcxk4qzz1isMjIG7xor8tKU1UZ8JdIDxHwLkH91WlIXMdfWkPn/E3ygbrRnTGw748wyMTroSY2B7uw/LNz89LkrrdrtbX19Xv99NExT1rNBqFRCiQABYL5dbtdiWdJNVduHBBV65c0eLiosbGxtJu665APUTqSXhOLkOQzs3NaWZmphBdoV+j0nEOyN0eFB68iR9lwTVOcDuUR+GTgt/pdLS7u6t2u61er5cWzbE2B4LRiUGfnMiOozWKvzPyNZEb8fwcSGQ4NFLoydmJcisVT6WPSW2MtcuRKzX6CqNK5MfP8vE5EJXHk8pTrzikx8NKZWwyPqtzGnS05zBgQSLhFZnlSICyRweDy/4XWF+EttfrpXReJ0CdYPQEJ5QEP+6WzM/Pa35+Xu12O5GgW1tbBZcDRcVkY8EbzyBZjf6Bf1haWtKFCxcS2ehRJc9pQfic3XdrBNfCXh+QobQjwn3uKcs/GB0dTbkurJ9BQbmb5hPclQZog3Az2brsAgfShLAkTO0kuEd+XImUucmeSs5n1MkNEauOj46ONDExkVxRkBNKxLkXjAC/nf9yw4PyKuOi3F3yaIxH6Ggjsso7IwcTy7lQHI4IPDqAQvEMQ7cS0hBy+g/PdGVExzGhnUR0V8m5CIRSevy4BWmo9fnerSt7UOR5nrgUhIc1KsvLy3r++efV7/c1MzOj+fl5PXjwIE0ISWl3KoewToo1Go3E/aAgJicndeHCBS0sLKS8DtwgclPghhzd+Ttc6Hzi0b++QU/MhaBvXLESXm02m6rX6wWU6ejJlQUWlKgFSIJNe5vNZsrFgQT2neFpAwrYCUJ/lycPgoCojysJEKNzDK5gkCtcYLgHVyQewsXNjTknyG1MT8Adpj6OoJ1cdZ7PFSPIKrahrDz1isMVBP+7CxCjFjFUBuSHwPKQqbPHvs8DS9V9vUBUHAwkg1+v1wvCFwlGzxVgoEEtQHLfEmB8fFzNZlNzc3PJol+9elVbW1t68OCB7t27p06nk9qID0/y2GAw0PT0tObn5zU3N5f235BOjny8fPmy5ufnk8LK8+HWhFg8rDx97DF/t8ggPM5o8W0JvL3wTH4PUJoIDy5Xv98vpNuTzEdKfr/f19ramjY3N9Vut5OCoa9w4+KhVPv7+9re3tb29nYiKHEZQCkeYaH4JHXl4cZMKj9uwP/3jFjaTp+B9pw382hZmYvikTvqGUlcZJXfjoK9eGqB5+OUlXOhOLzzXWm4jyYNLWLkFiAU0crS0AXhma6dgfq8g2MWudazRZkECHhMNUaQEBbClR6VwVIwcXk2m/ViPefn55XnuTY2NnT79m2tra2l93U6Hc3OzhYOoq7X61peXk6Ko16va2NjQ88//7wuX76sVqtV2IvDFYX3oVtnF153P3x9D2n6Tra6iwHC8J3NIQ2xspCjhDF3dnY0NTWl5eVlXblyRe12W9vb24n8bDabajabmpmZ0dzcnC5evKi5ublEOjuPBP9BSj9nBt++fVv37t1LR4AiNygzFBpK9Sw5LePg6FtcN39Wv99PBKajHQoyQt/59xE9RMOIsohI3dEFxK/n87gRKyvnTnFI5adPScUdpTyxJ+ZM0Lk+Aeh4tyxYIU8Uwx/kfywHERKQBBob18dzLTyLk71HWf+Cv7u1taWPPvpIExMTWlxcTORavV7X4uKixsfHtbS0VDjJzZEQ0Qes7t7eni5fvqzNzU3NzMxocXExKVl361AObvWiAnTXyEnSRqOh+fl5ra2tpft8IrjF9lXCHipkUk5OTqbl/Lu7uxoMBlpeXtZbb72lK1eu6MMPP9R7772XEMbS0pKuXr2q5eXlFC1izQ9Jd/V6XSMjI8lNdJdze3tbt27d0ttvv63vfOc7evDgQerPmKrOmLo8evQJmaPdZa4MxTNjnfdBnthY2rmP6GJEUtRddTeu7vJEo+suIWNxrhGHVEQErlXhNyLqwE/EckWCVCrP8afzsSZZlqXsQiAt2tlJOXxWJlTMD+Ed0vBUM57PhjzkooyPj6vdbmt1dTXd3+v11Gg0EjvvEBx3B2QVGX2E/eDgQJcuXVKn00kTaWdnJ7UXpUDfktgG8vKsQ58c+PBZdrK/yMzMjKanp5NbNDo6miZHr9dLEx0uw3klJypHR0dTSHVkZETPP/+8vvjFL+qNN97Q6OioVldXNT8/r+eff17ValWXLl3SlStXtLy8rKWlJTWbTVWr1TThIIpBHTGidnx8rJWVFV26dEkXLlzQN7/5Td28eVO7u7tp/xL4LpcdRxdO2tJPjHvkKGKoVhquhOWZzoGw1SXGyhPleBb1YR4gjz6HPBrFd1HZuIyeVc6F4oiT3P1Jqbh8HX6CZCj8trJwLMX/ZhK5hUXLu+XFwqBAsF6easzgxKgN9zJpfGcr0uIfPXqkra2tFO24du2axsbG1Ol0dHh4qLm5uRRmQ3iw0u4v0ycjIyPpsKnNzU1tbGyo2+0WlB6CjyDSbhdOn+C4ZigX+AcUAm330CLcw/T0dMFVdGY/z3Ntb2+r0+lobGxML730kr70pS/pzTff1PT0dEI0165dS+ir1Wppfn5ezWYz5Sx4FAxXkf6M416pVDQ3N5fcLVynd999V5ubm8mAeGZpVHq0xVEfxSc6E9pTzakv5/F41CVG3XgOEUTGx3m9MqMFqnBU7cWVjPdNWTkXisNLmeLAMgJBO51OYVcoBhMOIZJCTjD6wOKaeFox75OKm/myFZ+H5zyLMkZzPFLDM7DIRGpWV1fTvqDNZlMXLlxQlp2c6r6zs1OYmCjK/f39whm40vCAaA8tS8MjK13ovH1euNefhaBRj7GxsQLJCflYqRRXCHMgNpPO+Z7j42Ntb29rc3NT1WpVV69e1Re+8AV9/vOfV6PR0NramtbX1zUyMqIbN24kFBD3LfHEKsaYsYhhTa4D0T333HNpQjebTd2+fVsbGxspA9V3eaN/Y04H35f1KfKGXMSMTtAGhDWEKQqe/qeNFJcpr1/kpuBsPHKCYgUxP4nfkM6B4nD/sExLUmgw6xEkPQYHPWTocI0OdPaZvIBKpZKSkSYmJhKy8axCFBbCj5uAgFE3qbhzNRMOoeFENNq4t7enTqeTsjwXFhbSZjYkc/l6kHa7rW63m6wVCUfOxCNAJELxbo8quUA5+ooRFbdMJG81Gg01m02NjY1pe3tb/X5fjUYjHT8BoooWrVKppO0Qd3d3lWWZrly5os997nN6+eWXNTk5qd3dXW1ubibXjTNiYuTG0SFj4WOPokZpcQ/GZmxsLGXUXrlyRbdv39b3vvc9ffDBB7p9+3Y66Q7UQN+6Cx2jK5HUpC+oD+OPnGBIkDvPA3LXMe4342kHsY/d9aV4WLvb7Sa39twrDql8w+JI2tEBzhDDVDvs81Ren/hOLMI7cOgQFppJyKDGXcWB256zwSBRZwhQrIbXmUiEW2pOTrt//75WVlbSKXNubbDwvAOr5W4MyoUJzsHTkL9cR7+4paaN/HaG3+ExSpZEMAqW2xFbjJShJLvdriYmJnT9+nV9/vOf15tvvqlGo5HWH+V5XkhDZ9y9DZ5T4+F4dy24191d3JGjoyONj4/r8uXLWlxc1JUrV7SysqKLFy/q3Xff1YcffqjV1dXCRkv0vyNil1GPTDniZaL6bm4gJgyPp+972ruHax3xlCU30m7ykxxxwJs41+JIpqycG8XhQga89EiJpMLEJT7uUE8qElhoeSYhkx1CLb7X2fKYnsz7/TMUEwVLQZjPn4MgELKVlJarS9LW1pYePXqUoD7XoiDwyT0yAvfiITqECIXoW915BADXzSc5lhkFFGEx/U7fe4o1dfPoFf1KOHR3d1f1el3PP/+8fuZnfkaf/exnNT09rb29Pe3t7SnP83SsBahQKrqEuD20AQ4HxVkWtuR6Jx5d0TebTV2/fl0zMzO6dOmS3n//fb377ru6detWchl5X4x6uMJ1GfJ3eSq4G0Xkgj6OHB19zv/+uf94ThF1iXX0rOsYxSwr50JxUFx4YzRFGmpmQm++OEoqnoOBtvaVqygXkpkkpX0xpOERgCgEj5543oPXAyjK33AMcbs2UBLwF6sNfD48PNTGxobm5+eTBSV6tLu7m9wPZ9VRCEx0+g1uxtGUQ21HHS6UFBdGrnEXDa5jdnY2KRPa5goNQnZnZ0erq6s6OjrS0tKSXnnlFb355pvpzFrGhwgNfQ5nRf088oFSoJ9xJ0FyXn/6h3eAKnF7Saq6dOmSFhcXtbS0lE6Ze/fdd7Wzs5PG3HMnYl/yXpAmCw5xVaKV7/V6yV2WlNCzR1AwRIwrrjnFDYLXKfJ8zKuoiM4qT73i8Mq7NaSgHek03BISdzw92e9xK+udyW/fPhCLxOASXvS9JbnX97h0heWoh+d4+NQzVFn56ggkz/O0VUCWZSktG4gvKT3TXSVHaL6JkFvbuOCLZ6HE6G/vI1fIMXloYmJC8/PzyZJGn9yPljg6OkpJXFNTU1pZWdG1a9fUaDRS2rojMj+WAcVB/0cLTJ0wEKDKWF/6x90M+gDCErTTaDTU7/e1tLSkiYmJ1EaUoxPyTp7ijtJv0cKDcpATv2Zvby/Jrfd5pTJMffcoDfdj0FxJuDvn7n2cZx8Xkn3qFYcXOsonoTRcaOWWho6Jce/IdDO4Efq5gLnvxyTzpfuucBwigjriakQnstylon0Qmx7JAOHwHF8mjzWlTb6xL58xMVgHg4KhXbh+7qK4kuZ/D+chlO4KVKvVFBr1LFb6FivKJGEla61W09WrV/XKK69oaWkptcn3MaX9oEDnFZCJOI6euIeidMXBBHUXyg2KuxWO/B49eqT19fW0jYFnfbqBi8S7u0HOrzhf5+iA+pEkFklXzyOJfEZ0k32u8F5yQ3y8ibqca8RBYRINBoPC2gOpuKGKVNwLA+HzCecrLT16gED5c8uiOkw0Vw5MVAYBroR6IIiSkgXM8zwpCaIOvvsY/jzX8zwnrwjRScMzV1xxuJBSL6JC/pmnP8e2u2A7Cet9BhKr1WpqNpuanZ3V2tqatre3JQ2tNzk2vIP1NleuXNFbb72lz3zmM5qdnU2TletQGpDeLJ6DQHSDwmTybFofIyfIncfx6Ar30u+O2r73ve/pu9/9rh4+fKg8z1PiHjkzjB+KEsXl3IIbQVcayC/tpl7kyvhWkY6yHI042ogIJUZaXKHE+fakcm4Uh0NPCDjYZ2nYMc4Sw1R78g7XenF468x/RBGuZIDJdDhCJg2FGK2NNfLj/Hw9DFmjKD4Yfz/FnjaxzgLUMDk5mZQUZC+cjPS4y8EEcBYdaC0N3aoyctQF1MlFaSjsLNxCGbI/Rww3QopK0vLysj772c/qi1/8oq5fv67R0dGkXKibIx64IZSsGwMmAt+7C+YTk79RmM5T0Z+gIZIH8zzXzs6O7t+/r0ePHqWs4ZGRkXS9nzSHrLgSdhfWkQjX+Gce/ePHQ6/0j7fZubYYOIg8RxnK4fu/FOFYCpMPtt4zNClOWvpEjz9RMTjUPatTEeAIzwkjAqOZNCgh0p2dd0FYpeFiPCaEuyaDwSAd0FSpVNIRkRMTEykLM89z7e7upsm5t7eXEsDi5Ecp+ft9A+doeaLLwmf0q0diXBER8p2cnEwoCW4GF0WSFhcX9ZnPfEZf+tKX9NJLL2liYiKFOT0pTCoaB3d/PMPS+w9UGAlDj1xwLW3yiBvkKLJxfHyszc1Nra+vp8WH8DYQr6xqbrVaCfm5jFGPTqeTMnjJFvWcEH5HhYKx4RrnanzsQFmRs0HefF44x0b5S0OOMsk9ccZDqA7DnYiCgHMfl872wXSr4L6pTzCH454b4Xt3sDKTzWhwOTxb0mE+QuBxeHxayFBySrA0kLLAdhBMrVZLiqNWq6VwrsNy+hLkQXujJSyLqrhFk4b7VbhFdzeLECwoY2pqSlmWaWdnR4eHh5qentZrr72mL33pS3rttdc0NTWVNuNxXzwKPMrMM4HjWPh4+5hT77L8h7JIGwT2YDDQxsaGPvjgA3344Yfa2tpKhGu/f7K6dWZmRsvLy1pcXFSz2Uz74JK3A/qsVqva2NjQ22+/rW9961t68OBBqi/Gw/veZQ9Uy/e4b64MPNzNZy7T8EuS0vuQR65/ktKQzoHioESizmPxjgi4zpO22JWqzBVxhUFxpeEhWCw1XAauBye+tVotXbhwQcvLy5qZmUmWkBCsM+DUERLXiU8Ewrfx54T7o6OjdOAykBpBg+cZDE5Sz6kbCsthLMjDJ6Wz+Y6GXDkzFv5O50KY0CgN9v1kHQt93mw29dxzz+knf/In9corrySl0el0EgKTislITv65wuc6EKg0jPS4YnHLzdjyLJQGSxZAPbicGxsbeuedd/Stb31LN2/eTGuLQH0XLlzQ9evXtbKyokajkULSMzMzacXzYDBI7tujR490fHys27dv69GjR2fKcuRiUB7uzoBUPJpCX8CjudxT3J32fv245C/pHCgOj3wweWGyGfjIAjvscm6D5/EsFEJ0R7iPCQRPgDUCDo+NjaWFVZw432q11Gw209Z3UnE/BneDPMOPejsScUsBAqHtk5OT6vf7aU9NlA65Dr1eT91uNymEuPeIZ4mWWXSPVHi/RAhL3/FO2kn0BdcKTgr4vrKyos997nN65ZVX1Gg00oTNsiwhNQ+FRkjuioD2x0zLGFmC//I1ISA+FkeyTylRqmq1qv39fX300Ud67733dOfOHR0cHGh6eloXLlzQ5cuXdeXKFd24cUNXrlzR1NRU6k/S7yWlSFKr1UqLFX3jISY4fFx0Ed09cRLb3QzmiitAZNnX8bjCLRtP5seTyrlQHM5LMOieuEQHA1URIAqTA/QgqTBx/TnRIvnEBhlAaC4uLur69etp706EFdLUE398xWpk8sssC0LApIc7iRusQAD6wiv6wq0vW+d5iT6wlzK/mc8dubmglUVbBoOBdnd3tba2pr29PV26dEk3btzQ66+/rpdffjmt2CUzNEZMHCmWKQ1X7LzX3RPG1qMirmDy/CTdfXt7W7u7uylL1fuT9TODwUALCwu6du1aWsaP4lheXk6oyXckc4TAquGNjQ1997vf1UcffaTBYKD5+XlVq8NFa46CPY0AGWT8kXfvG5dT38MDl8bdbJRMjLQwnmfJhnQOFAfCgGXBt3e/m99HR0cJzjvjX5YejqbGukvFNSce8qpWq4Ul2ewD8cILL+jy5ctpr4wyglVSWnXJYiVXZP43lobPmTz+XM+jQPnRH1hnaRiZgeSDoHUB5F4QA/0Nf0SfRELZFQfF3Qhvc612sqfpzs6OJicnNTc3p1deeUUvv/yy5ubmEpoiOgIJ6UdX+HN5txOhEeZHZR8L30NssnjO80v4Hjlhr9BqtZo2C5qdnU1nyqDUO51OwX2ANJ+enlar1dL+/r7effdd/f7v/77effddDQYDLS0tqVKppPR1FLoTt1FGXeZBeIyfy7fnMTk/yNiMjY09RhDznieVp15xSMNJIA2zPl04KKxo9T0Noi/P81wofJIzcZlYklJ6cK/X0+zsrF566SW99tprWl5eTjyGr/yM2aDu9+Ni4bsj/DHXA5ITK+STBRcNJEJkwU+hc6vEs3xJvZNkEZ565MIjLf6bunC9Wz1cBXiKfv9kS4NLly7p9ddf1yuvvKK5ubkCcQpnQz84XHfXyTMjI0dD3dzy0sdOlrsceUTEF0PyTOo1NzenXq+XDrLCWHANk7harSZkwWRkv5Bqtaq7d+/qT//0T/Vnf/Zn2t7e1vz8fIGPazQaaSJzdAJtjMbPZQcXVRomFmIw4cr4nnHhvTEy6WN9VnnqFUcUWid/PFs0huEib+Euga8V8ffwDCYq6ID4/PT0dILZN27cSHuR1mq1dDCSryeAfIJ/iTtIucJi4DziE79zhRAJYtavICy8E8Finw5HWN6vbtH4vMz/daSHomOiefiTCTsYnGzGfOnSJb311lt64403tLCwIElp20UmmS/Io/3UB6XhvIxnRzr8dk4Md2cwGBR4Hg/bQyKDklDu9GG1OtwxnRXXkUcDAfr5O7iIExMTOjo60vvvv6/f+73f05/+6Z9qbW0tIQuWs+NOOPHLkgDcDk/A82xUwvW4yyAJDJS7tIwT73eOkDGOYx/LU684KE4UOYfhmp3/EWiH/ZIKa1lihqg0JEQR3jzPU9LS1NSUnn/+eb3xxht6/vnn1Wq1JA35g+np6USIujKTiinfMUJRFvakvb4dof94u5gYZLD6sYue3k2Oh+c9RMLRFSf9EqMxjk7cReA+kJ4nuC0vL+ull17SZz/7WV28eFGS0pYFTEDckxiSpI9RurzH+5A+9uu8jjynjAOg70CKIAy4kMFgkA7k8v08HB3yN+4iKJFcm4ODA33nO9/R7/7u7+rrX/+67t27lwwJO6tHBO3KAzTnfAXILMuywnxA2aAY3IC5sue5KLiYQ+Lh67Ly1CsORw0fpwXjpPWQKgIZdwBjIjEJeY6kgtK4fv26PvvZz+rFF1/U7OxsEjaSnICrzpE4wScVXQGvp5Nh0uOLonwSubX0jEcSptgZXBqGohEGJiZQNiIuf773t6OQyHegcNyS4R4SRWg2m3rjjTe0srKSoiX9fj+Fs1EajAecC23ysLW/xwvC75msTjrzmSsF2onS5vmMH2jS3U+fkK7UeT7jTji2Uqno/v37+vrXv67f+73f0+3bt9N30km0xeWT96Ks6Gvei0FzN9hdFFfy1J32unw7QqvVaoV2M0/OteKQHl8V6GFNt0qOMpx45PuYCBThrzREMMDYer2u69ev680339RLL72k+fn5lAXKKe3S8LwMD+e65XZ3CW3vAuHEbIwcuOvi30dU5S4asDWeGO/rJiixPi4w3vdldaStHv2gTuygNTk5qeeee07T09MF4QQduqLEshIuBUnBf+CalBHdPonc5aFvPOrGbzcwjv5GRkbS3icQibivzn15zgv3gkBHRkZ07949ffOb39Tbb7+t7e1tTU5OJreHRDePoJDxTJ1cViOHRL8jI1GWcc2I7MANUlyOoutJ+Pas8qkVR5ZlVUl/Kulenud/LcuyWUn/WNI1Sbck/Y08z7dOr/1lSb8gqS/pF/M8/+1P8HxJxYQYdzOkxxfwuFuAsoB7iPAPIYqZm0dHRxobG9PVq1f1mc98Ri+//LIWFxfTtv6+cY5v/MMg8G63nrTHlQCF/10R+jUIiE9kjyox4YHhCHo8ZNnhLhPB+zjW0fveuYUIrT3SRV/MzMyoUjnZxLjVaqVn8F5HhFEROvkrFVcm+7vLhB8l5MS3E6GMt1+PbJGqHzde9v6hj52TobDuqFKp6OHDh/qTP/kTfeMb39CjR4/SHjEQl71eL2X+Ih8k8EFqSo+v3AZZgfTyPE8KFvnFULKvDOjJ+96Jb67hHtDOWeUvAnH8PUnvSGqc/v8VSb+T5/mvZln2ldP/fynLslcl/byk1yQtS/pXWZa9mOf5E9PUnB+Qzj65nv9puLPw/uMoA+YaggjYDNF08eLFFDq8ePFiQhqcQwoHQodjGV1JRB+7LBzLNd5O50Ki0gCmojSkofKUhorT2+9QnMVZznO4u1Gm3Hi3R6cc3cRJWqvVUtq9owuuxfUoI3yl4X6xXm93U3hGDH87yvMJSH4GSt7rzySD+HTXJI4R7XNS1pVvtVpVp9PRo0eP9M1vflN/+Id/qPfeey/tSQuiRWYwXs41wEm5YaEtLsvu+vKZ9wHPAz0gs747vo9tpVIp8DlPKp9KcWRZdlnS/1zSr0j6j08//jlJP3P6969L+l1Jv3T6+W/meX4o6cMsyz6Q9AVJX3/SO8rgO8LChHB/1vdFcJ9Xejy+TxiOcKo0PNui0WhoZWVFzz33nC5evJgy/khQwld2bY9L4G6AT2In5yLh6crBczp8UrhP7nDVfX5XQC7MWDLq7ZMHJBKTy1xZRevjvEwkTakf1pp2ODHnbXJl5OgRpYGFB8b7ZEWJ8HysqaSUBNftdrW3t1eYjK5UMTYoDt7rRxF4f+AGuvKSTjikhw8f6sMPP0wHO925c0ftdju1g82UcCOQB38Pz3dF4GiUgsz5eBER5F2S0vaNbA7lBKq7WgQOPGR/Vvm0iOM/l/SfSJq2z5byPH9w+uIHWZYtnn5+SdIf2nV3Tz97rGRZ9mVJX5aUoFwMU8awIp0B0RQFyoUfjY4QogwIzU1OTmp+fl4LCwtqtVqJAPXt/nwNhU8AF4LIsXCvoySf5G4lXZnwuYeao7+ND+8KCOXq+5S4Dx2tqCMj2hWF1cboMd7FCV7GxBWH/1CfqPh4L9/T175rmEP36Kb6c3FN2ATayXHcICYon0mPp3T7uGDBHTkwrltbW/o3/+bf6A/+4A/0zjvvpJRv6gTqcII5Jnh5H0aEF/kn3BauRY747ajI0w/ifVzjK6rLcju8/MCKI8uyvyZpNc/zb2RZ9jOf5JaSz0pVWp7nX5X0VUlqtVo5HesEUUQhLpQO4aObIA3Xr7gf7Vp+YmJCCwsLmpubU7PZTEpDUiEvAMHx8GC0vggWURevS7w2WnZXTLzH07AZaNpCu7ne+QDnC5wwpO5OcNo4FKxOdMMcrcTkLH8m4+PuB5PTs0MjfKZucaFb7DvvIw9Xojg8TAzK8OMSYvuoM4pFGp5NA1fG8xmzw8NDffTRR/rGN76hP/mTP9HGxoYmJyc1NTX1GF+BHEXXlAlNGB7EFOWCtrrsI1s+5pHE5f1xboBIUZyHh4fpjOOzyqdBHF+S9O9mWfY/kzQuqZFl2f9L0qMsyy6eoo2LklZPr78racXuvyzp/se9pMxViZwHxTvXk3foRCeXyqAfgtVqtVJa8dLSUjqSAIjPpGN3KI8KuHLClfGIjsPbaD28TVzvisnrzTtJJXYF4UqBLFr6gImBMHlSlPvMEaa6C4XQOjIoE2J/po8Dz/LtCFAIcdxd6KPCcOVFf5Of4RtJMzEcXaA0XNE654FcOYpjQh8eHqrdbuvg4CBtGv3o0SPdvHlTH330UUq2g5h0tISLjDJwGXClhpxSn8jNIGOMFwiIz32MUL58Fnk/36cWdEcdzyo/sOLI8/yXJf3yaUN+RtL/Mc/zv5Vl2f9F0t+W9Kunv3/r9JZ/Juk3siz7NZ2Qoy9I+uNP8J7HfHYG0q+JFhtUIQ3dBCcDESwGCEtZrZ7smXn16lU9//zzWlpaUrVaTam/CLOnAzM4DBwD5YuWfHk31s8/80F2ZBKFmTwIJp0vx3cF6TCfnAmeAZ/B1gBOxHpfxj52CO9Wz3mLSNgxfu5aONpwixvH0zOBUQB8H/kqrDM7v+PfOwSPJHmULZ/I7vqBRrMsS7uy+dqV9fV1vfPOO/rggw90dHSkmZkZSSeowpcNgDyQM+6PiALerVKpJOXjCtT7i3F2RM11ng2KwUXOouLI8+FO63EjrLLyw8jj+FVJX8uy7Bck3Zb01yUpz/NvZ1n2NUnfkdST9Hfzj4monN5XGECpGIKTijn8cQK5lQeuO+/AcYlEU+r1uhYWFnT16lVduHBBY2NjaQtCBA2GPibuIBTU2UlI8hIi94AC8dWcDpedgKR9bnEdWSAQKAOeJRVPtUOZIIzOA9HPji4YB1cmPh4+Fo6a3KIzed29cW6Hurq7EJVL5K8isesow/vY94UF3UR+ocy1RWH4it1Op6N+v5/O6F1fX9fbb7+tP/qjP9KtW7eU57lmZma0v7+fQr/0v+en+FhLSnVE2cOnuAJ1F9zrGAlfJz09TYBxpf1R4XsukiP5svIXojjyPP9dnURPlOf5hqSfPeO6X9FJBOb7ff5jhJ9UXNjkYU5HEQ7T3b9GKMgaJQS7sLCg5557ThcuXJAk7ezsJH8PgsujMQ51va48H8LW/XkPi5YRde4GuItW1g8oFqzbYDDMOnShoH70g0crXPic/yhDGJFAdU4iWijGBULR9wpxhebJW04yRyTJ+Hl/uNKIz3RU5wShGyMnmD26QEiSMcHFAGVm2clOZm+//bZ+//d/X3/2Z3+mbrerVqtVOF7T0Q396+FUFEQMp7pi92X+1DUqDR9f7x+Qt4+vIysURtyj5EeiOH7YxRWCd5hD5RjXlh7nDYBjg8EgMeNHRyentx8fH2tlZUUvvfSSXnzxRdXrde3u7j6207avpGRAUAhAPoQfQYi+Ke3x9QaesBOPLHSeI0J6nsu1QOmDg4OU0l2pDPdd8P1C6I/It/iEdLfFJ3EkQSPUj66MKwfPF4kThj4pe59zD3wXl+D7Og36hMnLfWXRKUcp9Xo9HXK0vb2d9uNgvw6e8ejRI33rW9/SN77xDd27dy+9w5WGE5SeJiA9Hpb3zM78NLLBWA4Gg8LWDTzT0YbLokf4GAMQX+xDOKGIAJ9UzoXi8E6QimE8TyaKeQjukjjcc/diY2ND6+vrarVaunLlil599VVdvHhRWZap0+mo1+ulhJl+v19YEAVScRdBUoGDiArOoT6/3X8lV4R0Z94TCVhYd/dFUQq+XynuWOQjmKzRxYsWCGFyxBSjWw6HIwJzN4QQqe9OzuTG1aOdrjjc3UQxOTkcQ96OSiI6cU7A8yDoE8ZwdXVVd+7c0YcffqgHDx4kI4JCPTg4SMdybm5uShru3M4kJRGR0CbjFKNx7prEceA7RwL0V8xcdUPiCDG6xzyLPnHD5ujoSeVcKA78Pk/6gT+gk4D+CJoLLL9dIOEFDg4O1Gq19MILLySlMTo6mjb/RQCw1hw9wDul4V4SdDgCDAHpdXK471ZQUkI07JrOhrcOa90aUAfnAVA0+/v7aSdx6g9Uj4gMy0c7er1eYeMiF1Sp6I87RI6w2RUDipQ9Q3A9UMh+wJW3z9FU5FLKwr0xMuN/M+6OSPgOg9Dr9XTv3j1961vf0je/+U3dunVL29vbKVoDMequjoe6vTAJ4TfcFfO6+eSO3F2c9Bg8FHCWZYXtFLy/PKrmJCjPjgYZY/Aj4zh+VAUhdkiIILpAcq4HA4e7AYx11n1hYUEvvviiPvvZz6bt+bmeZ0SrxCSqVquF813cAjAJpeFh2JBTCIQnJXEd2+i12211Op2UgIbb4bAcIUGQPHrB4U7wM46UuNcVB5aciQzqcFfn8PAwPd85Hedf3G8nExGXyA838oQkLDg5FxTGGisZXSHGxNEF91FQth6dcr7LJ5skra+v61vf+pb+4A/+QLdu3dJgMEg71Hu/uIIDJcI1ea4PSnZycjIpHvrc5dpdFjdC7mrRPo82wb/Es4NAlI4qPELlEUDq4P3ufV1WnnrFUWZpHDEQ4WAwGbw8z9P+GO6+wGv0eie7OV27dk0/9VM/pTfffDPtf3l8fJyE3q0lA+vREgbKeQPqiVKIIcVqtZpcDELCHnFgwoM+OKeDfUMd2QCtSa3u9/uJvxkfH0913d/fT0vuPawZCU//zKMqTHza5FbTlY8jEBSVbybjfIg0JIrpd0eGlUolLbYqI4h9wvtnZX66/+/rirzd3W5XDx8+1P3793V0dKSVlRVdvnxZ8/PzOjw81OrqqjY3N9Vut7W9va319XXt7OwUtqpkHODBWBTpe6DE0wUjinI0FccokqwYIxSHczuOPtzddCXk/eYK6y8F4kBDYlV9lSOTOm7FxwD4buOeIcekg09gYhJuQ1Bh07GGPB9LRTSEU9XgPRwBAOOd6DsrwsBCpDw/OWSJlOl4Ngl14d3j4+NpU5her5fQEvAbJUSkIAqGs/luDT36giWFUI1wH2XquRLScLUxYxJ5D9CaRxOA+DzPE+uks0PATsSWkX3OgzCGoFJ4jFarpc9+9rO6cOGCVlZWNDk5qW63q52dHXW7Xe3u7urOnTt677339OGHH2p7ezslTLkS9FP4WE3tdaC4UkShOgr1eUB/OA/iSob+4FkYEY/WRaMQ76Wca8TBoLqFhnmP8E5S8sfZYQrLi0C5lu71etra2tLq6qq2t7cL+y70+/10EBIbIHskAouCVvewJZPBt9iXhiw6guN7Pnpm3/j4eJqs29vbhc18XbmgnEBHExMThZyTer2e7mHTYqI2Lrj0G3V3xRgjF5B9WZYVJkLMF4j3etq4E6ukbuPGeCg2RlMYZ7eYXAsSctjv9fHnebTKofzR0cmZNS+++KKmpqbSwkbfXlBS4p/q9bqazaY++ugjPXjwQJ1OJ23IPBgM0jm5HGlBcWXgpK1UjID4fhqey+Qy6lyHR8ykIerzo0d53pPKX4pwLBDSCTtJhc5zS4a2pVOBywgbgk+Ia39/X7u7u9re3k47NrFb+s7OTjp1jEQgn7CsYQGVsB4BReKn2WPlEVYINd/Q10ORHprlDNPV1ZPs/Wazmd6BW+V5CyAkEIcror29vcKpclgg/9vdEFwnX1kKP+QuE7898uHZrT5ZJBUUi5OOcATU3ZWMT3xp6Os70nCuxXMa+L4sccyfg7KAZN7Z2UmcF27e2NiYlpaWNDU1pYsXL+rixYv63ve+lw6empubU6VS0dramu7fv69Op5MMmHSys5zvM+qGzwlw57/cPXZUxW9PjKPNrjj8GZHX4l1lxOxZ5VwoDhAEqxx9X0mPXLiQIDxsiMvEJVHq+PhYs7OzWl5eTudaoKA2Nzd19+5d3blzR1tbW6rVasmVkZTqQJRgf38/+b+DwSC5PgwYsBvY6NEQhBGhZ1Ji0ev1ekoCWl9f1/7+vmZnZzU7O5v8fywiCqdSqaTJ6MlQoDUQjhNobn19kjO5vF7O5fhk5G/PKYgL1BwSo6Q86xPoHYlOnh/hNs+VVFB4rjRi6JX2O6eC28k9GALP/GR88vzkhPpms6n5+XnNz89rZWVF3W43IZVKpaKNjQ3duXNHm5ubibjs9Xra3t5O8kJekPM+HpKlXsibk7LUC3fUxxKjRJsiKe/viwlqLg9nladecUjFPR6kx7MbnTDzgstA5AMhqdVqKZryxhtv6LnnnlO9Xk8HAd+6dUvvvvuubt26pf39fU1OTiZFgCsxOTmpnZ0d9fsnp5Vtbm6msznGxsZ04cIFXbp0Ke18hYvjB08jmLgsZVofNJHneeJ1sixLG+H6XqdAXAg4NsF1V82hub+Pz5gY0nBye+iba5ncnsTknALv8dwaJ+BAijzbBTsiBOc4vH6uTDxc7QSh9yeoy/NF/BnOG9DeycnJAqfg6BaFDAKBnITovnTpklZWVrS7u5ved3BwoLW1Nd29e1e3b9/WxsaGOp1OqrvzNq6M4yZAyAf1cMULwsUoeY6Ml8it8D99cO4Vh6QU+ox+uMNsJ95ovGfp4XIsLS3plVde0RtvvKFr166pXq9rb29PGxsbunnzpr797W/r/fff1+bmpqrVk5WJu7u7aWKSnMWAoQB4RqfT0b1797S5uannn39ec3NzyYVwlEG9sP6+/VuMdrg7wkHG7oa49fXNa+gX7kcwnANw5t59aY/1YzF9gnr9yrgm2lFGvNFuX2HsERXa7CFk36IxZtb6ZI5oAzLZM3+RKa7zPuf5jhCpG4oaxIJM4MZ6OJUM1MXFxSSzIMaZmRk1m019+OGHunPnjra3t5O80q44XtKQNPUCssbNRi6Q3bjoz9vr7jNtx8071+SoNFzth2WGn6ChrjX58Yw7j6+jOF566SVdv35dU1NT6na72tjY0EcffaR33nlH7733ntbX1xMM9BAvA8hAlU2QTqej9fX1tPPTZz7zGc3Pz6vXO1kkxUntnqwFn0GWJ+4HQkluCpsK8ZlzPUy2fr+fDk6GJPbQnEdzytY2YLUcGTBhPSzofzuScaI45ig4RIa3ghx18hjXjvwIFIykguKlDk6ixuIuEdfSb87tSMVFkiAqUFHkUbgPdyZGN6Th2qCRkZHUxpmZmbRXR6VSUafT0fb2tvb29pIB8c2X3BWPe7B4HzBHPAy+t7eXwvTwM5464MoDIxJT08vKuVAcnohEiRDUoZ5DXmm4+xL8AxvKktTTbrf14MEDffDBB3r//ff18OFDVatVTU9Pp0OEERzgIshhYmJCvV4vhek4u+T4+FgPHz5Mp3MxoEwqJkHkFph4REsajUZySahPnIxMDAR7enpac3NzOjg4SIv0PIkIgth3o6IurgxoN0rYCbUI66XieglHhT6RnAREGQCz3aqzizyojkiRn23i629ckTjacBTgiC62GXmJyMvDlm4o+F8qhpsZA57N/UT7UMrNZjPtOre9vZ12C6P+KFV/t2+N4ASpNEQiHiQABfv6qlh3+oMCso9tjeWpVxw+sExeJ7KcEaehES57pp+H3ujMfr+vnZ0d3b9/X/fu3UurHH2NilRMEYeAQmk8fPhQ29vbaeDHx8d1cHCg9fV1vffee5Kky5cva3p6Ot0X12wwORByThdDYSH4+KxMNCcKmUTT09OanZ1NwuPMPqgD5RHDfhHeu1voUS3nmZyPiPyTK3x/LhCaydXv99P+mChbj+iAmFBk7pag6ID6tMkXEiIjjoyiS+gKUypGMJxIdZTrRsuJblc+vBtlXa2eHOS1vLycjudcX19PCGxrayv9n2VZisg4AqR+jDsIiR/qxX15Plzr5GFb6h4J6HPPcSA0/M0ARLKI7+NEJ3xKaMqzNKVhrsjOzo7a7XZKi2YSeZhUGsbBgYFkEbbb7aQ0IKiOjo50586dpKyuX7+e4vy+nZy3wxPTEBiPEjmngRD75EHxtFqtJIgIJ+jFBT/mtrhfH3M6UAaefRphdIzOOP/CBCSJj5A1yr9er6vVaqVkOs+IZCypI0lujDl9jsVEMUeSl2eW5TO4S+WJWmcRiPSfT0SuR4n6GDkfl2WZpqenk0yADjY3N3Xnzh3dunVLa2trCXF7hMllAqPiSMXr4nLu7nzkgxg337TqrPLUK44yredhP0mFPRqd8Y8htNnZWV28eFGXLl1Ss9lMvjNcAJmXTtohcFJx81z364nJx2w/Bufw8FAPHz5M7en3+ykXw/19krsajYaazWbiV2IEQiqmuLtVh8vJspODgebn5xPyYbJC7DoBSn1d+Xi40uvu40Ib46phv85RI/8zgUEe/X4/8TygIm8LzyQRMCaFVSon2//X63VlWVbgTXjX/v7+YyuoaYMbEhSBGyvkjn5GUbtC4Fq31jFKFkPS1WpVs7OzmpubS/K4tbWlpaUlLS0t6d69e3r48KG2trZSPokrCv6HA5OGe4byGxQWkbnPMeYNRL2Pe1l56hWHT6zIa0hDze4wVBoqF4RtZGREs7Ozunbtmq5fv675+XllWabd3V1tbGxoY2MjpXi7/40Q8A40sq/WrVariax0BSYNfcher6e7d++myfv888/rwoULabUtcJQjE3FnPISGkHpCmfMC8AF+VoxzMggTPIwnkXm41eGwT3b3t+l72uiknSuySMbyN64aiV9wFU5GR6LWyTzneVC4ExMT6vf7aZEgSobxdKXD2Ln1Ziyj+4ZbJD2+YhVlC0Hqz3OuxZWnKxLq41GzWq2mqakpLS4u6tKlS7p586Zu3ryptbW15CK7G02yILwdpCiRQDdg7nY6SvX6uVE+qzz1ioOCVmQiIjgOuZwYcwVzfHyczutcXFzU/Py8pqamkquxurqatDqRF0nJYnkcnzUfkpKFde0foxHuAuzv7yfkQT0XFxfTgdWNRiNxIHAQKAVW20JQloXVogJFEBcWFtTv91MiEvt0xEStGCUpQxoejUDYUGSgIPfBY4Yv/AxuCoiC9mM1/btIjEd0wCRCYWxtbanb7Rbkwd0yJ1Ndefi7vA0RnaGUuYe2OUfg/ejkq8umcySu5CqVSgr5czZNtVrV5OSkOp1Owb2UhjuWebtQLkdHR4XcEtAX9/mueIPBIEWyIjcVy7lTHNJwzwkKHcs+Gj54TgpFeC8pQcPV1dXEUZDxia/oJF2n00mD4VZVKi77B30cHh6mBB+sSafT0c2bNxNEbzabmp2dTaFHZ9MZdN8r4ywh9Mnhk4vjHsbGxrS7u5tyT+ACsDyekux95NA2wlz63QUTtIBAUph89Am7aRF5wj0bDAbJZfRNjXq9XsoeJlehXq9rMDg502RraytFKFD49B0Kw/M/aI9HJ5yfwTBRUBAoUiag94VH83x8HC3yHu97R3guS/V6XRcvXlStVtPs7KzW1tZSGjwKjFXPlcpwywh4HOSEOUJkinnkikMahrpxz88q50JxuKV1IkzSY4rAYahPJqwIRCEdy1b3u7u7yf3AmrD/BEIUt3Fz609OhQ+Wcx4Qfyx139zcVK1W05UrV5KLkmVZ2gSZkKS3h/ZJQ8GifvST/7h7AYwdHx/X9vZ2Qhhu9ZxDod5OhjrElpQiPxCuuHHRlwatILAoBaxsXBJAaBueBiRCXgx8xtjYmA4PD7W+vq5Hjx6l0DP15cBtJogjsihf1NPR4lmh5DJlE3mNOG7ScNWwj50bGw+puiJhTRTKlV3HfIc3+p/FjL5gEJnxLGQUl7tkjJMjoLPKuVEcaH+E2WGk9Hg83uGpC7znFnioEoUQobHDU4fuHm3gMycUe71eiogAI32nqLGxMc3Pz2txcVEzMzNpFaakpDTYBMfRFcJYlmEqFddrONSsVCoFa0u6vFsoJ5Z5lof1XBnXarUU8p2enlaWDdd3oDRBIExkUAl8EDyOpBTVIkmu3+9rdnZWrVZLjUYjjSmRMdAT+2e02+1UTyYhcN2RVeQXpPLMV1zcqEyZbI4CPY2d8TtrV/eIfHwBpnMmvhlQdH9AtB4FZNsHJ/ud9HYOxdvL+Hq0yV3Ts8pTrzjKWGsfZCaQT2z+l4aW2ePpvuqUlacoDhc6FIT7lJBM0nBDGCdAeQ+ThtCqT+iZmRlduHBBr7zyil599VXNzMykwXKho73ScNFWmTKM/eV95kpOGqKEfn+4azdtihaGZ/Ec+pxncNJdrVZL54cwJhHxSUPkwen1eZ5rb28vtYU0+V6vp2azqQsXLmhxcVH1ej25VqCWnZ0d3b59W3fv3lW32y1wHZ51CoQv4x+YzKAtD51KSoSqGw5cV57HJAdpuWuAvHlEh0kfj8ZwtOEIBBRGshvoY2pqSpubm7p3715ajEkUEKUH2kB2XHHSfhSjX0+ELCIzL0+94mCiS0Ol4VbM/UnnHdD+DCRMM/wEz2y322nVKe9C4DxyE2PeWD9PNGKCOivtSUnVajUdZv3iiy/qxRdfTHucejKYw0cmqocoXRE44vC+QHlEt4U2Eo3A4njfefTEFSguyMTERFqhOzo6Wjgy0PfFdIuHMPPMVqularWaUvdrtVpaS1StVnXx4kVdu3ZNc3NzSalOT0/r+PhYjx490vvvv69bt26lRYUoFMZlamoq5XnEwuSiTR7Gl4aoLiplR5UsNmScQCKeAMb9tB3Z43v2A4VXALngorHfLNd7Ah9Hk8Lv3L17Vw8ePEj96e6Sh4Bd4UFUozRxh+r1emEDrLLy1CsOacic43tJw9RYz6wEOoIkmMS12skhRGtra3r48KE2NzfVarW0ubmp+/fv68GDB+p2uylByo/Ec9IQQfG1H0QMHGlwnUcWpqamtLCwoJWVFd24cUNXrlzR7OxsmmQojRgtwgIw2NLj58y6NYwIIfrjTNyxsTE1Go0EUdvtdrI8+LcIq7trIyMjBTKXKE2/308kqV+PdSaJzttDng0IkLqMjY1pbm4uLU8/Pj7W+Ph42r7vgw8+0M2bN9XtdtMp7NLw9D4mHcqEwgR2q4yL4aQwfeS8A8oBhewkNf3kKC8SxDzXF7F51mytVku7jPV6PTUaDc3NzaWcG88cxgj4svnj4+O0hwx7sSCfblwiQqY/kP3p6enHcoxK5+SnnNM/koKldMGMPIA0zNeHCHVmmCXz3/3ud/XNb35T29vbun37tt577z2tra0l4fSwG5MwMuyeCcn/7kIAfbMsU6vV0tLSkq5cuaKVlRVduXJFy8vLmp6eTlZHGoZ2PdaPYsQ6ON/Ab+8jd8+cLHYh4NkIONEBz3nxFH1HK7VaLQn01NSU8jwvQHCPWrnLRz1oD7klTE7fC9WJZncvsaw3b95MSMOVBpzS1NRUCmlLQ1fXrT4KwtFGdHVdAdMP3teMcYyagK5cRvjMyVCXFXcnIZiRJ1CYZxDz/NHRUS0vL6vVamlmZkatVkvf/OY303aGcSGmjyVyTRSRfUSazWaK7j2pnBvFEX0v/ncNzMDwvy/Xhry7c+eOfv/3f1/f/va3tbGxoffffz9paHgJD7fGNQEMsjTc6UsaukrScKelZrOpa9eu6Y033tCNGzc0NzdXWJIfV2uiJLDUcWtBRxWRsacAUf06D886P+TIZXx8XM1mM/Uje3+QoNXv99O2eLOzs2m1J5En3kHfOCmJonc3xu+BbylrM+1hn887d+6o2+2mhC9HKa1WS3NzcykPgfeggHz7QycAHeVFGWKSepKUXxddsuimuLJAMbgbiUwhB+5exT7wneEZs5mZGTUaDb3xxhuam5vT/Py8vv71r+vtt9/WxsZGct0YGydcPXEM18e5jXONOLzh+F5ScZVl1KQky7AHxuHhYdolaXt7W3/+53+uSqW4S5YTelFoJBWUgvuQKBRPb5dOCNAXX3xRP/mTP6nXX389pRQ7EYeCiOy6C6/vcFY2kK4g8LOdr6A4P+T+PX1GlITf7LW6sbGRUp2BsewB4gly7rJ5eJV2ego3xUPkKGuITiIB4+Pj2t/f14MHD3T37l3t7u6mtvrhzxDOzWYzjRNjSXtpq09sT4Rz5eAROOTNZYzxdjfRXRlPVPSxklQwRrybMSS87VEdX0EMmvPxnpmZSYmEV65c0UcffaSPPvoo9RWo3Al6lFSj0VCr1UobTLlLe64VR6VykkUnKTHk0vCYPUmPWRBPCAMSk3Xa7/eTH4lw8lysM4PuZJk0PD0sEolRkBuNhl5++WX99E//tF577TXNzMwUrI0rGKysE2tYYQ/xedg58hnUxxN63L2hr6LldAYfYff9KXd3dwtKgV3QHOKj5Nx6e7TBCcaIePjMo1Xtdlt5frI7fbPZVL9/cgzjnTt3tLGxUUhdl07Ovrlw4YIuX76subm5hGjiit/Ybyg16uChV651zsPDvB6lcEXhitEjX8goEzEiFwwK8kh/chwFdfWNj7PsJOdna2tL/X4/IcFut6utra0k78gC+7nyDviMVquVDIYHAc49x0EIyn1790ul4nGKjkAkpfDZYDBIlpPO84H0wY8Cg2Ax8Z1w8oxJfMrl5WW9+eabeu2119RqtdTtdnV0dKTx8fGkBMkaZWL6TtS8L/rJbi1cyUSF52tB/FiDMlcnCrM/v16va25uLmVz+gYxfq1bXFey9DX9U+YmsM9Inufa2tpK55SAUo6OjhKBDQmLgDebTV2+fFmXL19Ws9ksuEUeXSOj2NdqICP0j/eT96krVcKoHjVzhBhJae8PH0cf5zIlxbW0E7dvZGQk9QFLGNrtdgpJu0LpdDrp3bholUoloQxOCazX60mG3UUuQ61ennrF4SSVW014C0oMfzksY1LRGfw+Pj4ubBbr2YJYcj532MoEQJAkpRj64uKiXn75Zb3wwguF9TCslSEngUHxrEb3g2lfRBrO7SDUMQLkxxHENGZXhsBfRySuQOh/OJlYF/52RQTScSQTC9YUP52ICnVC6e3s7Gh7ezsdPeB1YS+Ly5cvp6zbmLfg8kDkqN1uJ0LXN252iw8KdRToHI0XJ1mjO0kf0DeOCmOejiNYxg0Oxd0/ToQjR6jf7xcOkiJNnzUuHjggfZ+jHch7cWPiOURPKk+94mBggPZMLtfQbsEoHhmRVBgoh/IOrT0JCqjrAkFYl4VwU1NTmpiYSCnUjUZDr7zyil577TXNzs4mKzc5OanZ2VlNTU2lyVqpVNIuV35EgpNtbsV4P0rD4TJtcSXg6IRnu5Xb29tLJ7EziV2hMAnZFHliYqKw7gNy19/FmOC+4Ro6IqGfITSJHGxvb2ttbS2RpIPBIC1YOzo6SoJOnk2j0dDMzIwmJiaSbDDhmTCMP6n2oMyjo6PCSmhf0+ILxmgTMgdypH/oK7JvnfCNqJX2s3M9/Yl7iKJibHGvfU9WECVKku0H/dCt9fX1QlRLOjGcbI4EAcoYOqdBH7jcn1U+leLIsqwl6b+U9LqkXNL/VtJ7kv6xpGuSbkn6G3meb51e/8uSfkFSX9Iv5nn+2x/3DmC7x8zj91hpiofIXGh9t3MGYnJyMvmAkU9wEovoDRAapUGK9NjYmG7cuKE33nhDV65cSQlN9XpdS0tLajabaRNhPifZhslU5mO7wPnWdxQ4DD8FHmHwECTPJ4uRs2TYjxKL5m6FdMIr7e3tqV6vJ0Fl5+8sy1LGpLuSzlswRvSjIxKuB1VsbGwk1xQ/v1qtqtVqqV6vp1XEHn1h/cro6Mkm0s57+W+eK52gQ1LuIdI9mkBEjr4iw5bjRv3oBPJTQBOeXOWuGe0dHR1NESG2guQ3CoVNjp1zyrLhvrf8VKsne3n4+TPvv/++9vb2NDo6mg7kQl49TO0kL0rEUS8I+qzyaRHHP5D0/8nz/H+ZZdmopLqk/1TS7+R5/qtZln1F0lck/VKWZa9K+nlJr0lalvSvsix7Mc/zJybFM9E9Aw4tzvfRhaBDpOLKVQ+BYYncyvoybldG7i+jgGD72Z362rVrev311/XCCy8kAa7X6ylcNhgM0kbFkFNk5/nBRY6cmHxuMb3NQHCUAvegCH1zIs6l6XQ6aWUq7eO5TrQycUm48/RkXAaiQVHRIXwUD/1yDX3PeqHj4+F5vX7wEXuToKidx/FFh6AclKBzPowrk2lubi65i3xH/7PJM5nGRJbIi6APfOdwxgeE5ee2uFLlp1arFRQHy+fJpSAvA9nxJEdk0Q8A4wxkolx3797VYDBIyshRImiFgnLy+YQL/0NRHFmWNST9W5L+zqlwHEk6yrLs5yT9zOllvy7pdyX9kqSfk/SbeZ4fSvowy7IPJH1B0tc/7l3ObzjsQ7s7QqBTfLBckF3T8j3+oucdYDE8ps6zqtVq2pfj8PAw8RqvvvqqlpaWEtRm2TdCyMly7LsB3Pc1EW6dIeQQSurvxJ5zNF7X3d3d9NPpdArrciDYEGCH6q5w3QL79okIGT4yyUl87q6WZy9GxU7fZ9lJCjUn6TGukHnUz31+3kFKvDTc/Z57XYkxoUl3xyW5f/++NjY2Ev+B+8bE7HQ6ibSlz5CRPM+TtUd54Vo4dwLP4S41skHuDgaJSMfc3Fw6l2VhYSEp6omJieRyMZZZdpKifvny5UQukyCHnHl2s4dynW8BubJm6IeFOK5LWpP0X2dZ9qakb0j6e5KW8jx/IEl5nj/Ismzx9PpLkv7Q7r97+tljJcuyL0v6sqREAHnSlZ9+Fkk418Rc776cIw4vCCzPKYtcYCHZKrBarerKlSt65ZVX9JnPfEYrKytqNBqFGD6Wh3wDICMRA19ZibKDpHM23eEvVoH7qS/kKJCahWee2gxc9uQoz+JEyEAHUnHFLdYI6IwLFaNChK3dGvMsz1GQlKwtlh+Y7AgL/skVgicAeojWCXWUFDJ0dHSUEtmyLNP6+nra4X5rayu5JZ6Kzhh5JI0f34nLxxL5AEHVarXEhyCXlUql4L4yNsjJwsJCyjReWlpKIVdcxsFgkNDR+Ph42uGu1+ulDaOc6/BIVjxBkD7G2JQtevTyaRRHTdJbkv6DPM//KMuyf6ATt+SsUhYULq1ZnudflfRVSZqens6lIlnjMBQBAqIjRB5V8Ov53i2nQ7jolwOrEVA6dGZmRs8991yKoFy5ciVlhvreFIRdiQSwcAnt7ueJ+PuI2ED0ebtwq9yHdqvKkmpCnRMTE0mouRfLwkTBAjnZ7AiOPkJpdbtdHRwcJMiNj8z3HsLO8zyRmyhBFIe3PfIz/Ha+ICbKeZ4J/exL+mOYHcWK60Pq/Orqqu7evZtQRQwZsysbCtHPfIluEzIKGiNp0UOthEE9suWIBaTz4MEDzc3NaWFhIS38u3LlSiKGfW5MTEzo8uXLaZ6sr68XdnlPE9cQnCNe3LJ2u53G46zyaRTHXUl38zz/o9P//4lOFMejLMsunqKNi5JW7foVu/+ypPuf5EVAYV974mFAhIMBdojlRF/MEOQ+BMSTZly5OFqp1U6Oj/zMZz6jz3/+87px40Yi7/ApnWD06ASuEC6GH6JNIdzKJj5eXyZR3CMCheITjGe4pXeUwiFAWBfq7AqZyU/bq9VqyrHAouMGNRqNdNKeRwJQ7Kwr4RQ6X3/hbYquDe/xSUd9PGzpkSZkgjaTg4LC5oxgFtOtrKzogw8+0MOHDwtKlHe7oqLfPUHP+Q7qxljSr96XzidIw4ifE7u4h+vr6+ks49u3b+v+/ftaW1vT888/r8XFxQLiwjgtLi4m5LC5uZnmUMzPIGuXMWSRHFsd/FAUR57nD7Msu5Nl2Ut5nr8n6Wclfef0529L+tXT3791ess/k/QbWZb9mk7I0Rck/fEneRcw2jMpnQk+rU+CpcBmUsodajux6veiFKShlfOBh8BcWFjQm2++qZ/+6Z/WSy+9lCA2lqVSqSQGnsVfjhyYuHwvFbeV4zlYZgTOf6Th9om+AQ9tom+cs3ClQzIaZ+ISKXB+xScLdeT9nrORZVnyiVEcPM+jPDD7MzMzaYOeqampwt4WXjzy4qiLtnouCc/3Z2BYQJLHx8epXw4PDxM30Gq19Morr2hzc1Ptdls3b94scDSgAY8SMeFQGLQT6O91875Dyfl3Hjb2pDLawHi12+00yXd3d9Vut/XCCy8kTo2Ci0tGKFtF8h1zA9eKxZ8oDN/r9YcZVfkPJP2j04jK9yT9e5Iqkr6WZdkvSLot6a+fdtC3syz7mk4US0/S3/24iMrpfScVrQ03I478gyf7MICOEhBCF3YnVMusCpaSTElCkjdu3NBbb72VlAad7EcVwsxLQ6XnlsdDvxRQCaE46obyiztMScV0avrDyWOe4S4Bv2u1WlpwR3gWZRZDiBQUqLtVTER2kh8MBin13vmOLMvUbrcTQbu9vZ2SkdichjFxJe45ER6q9tC8W3smrveHc2TwDozB6OioLl68qFdffVWrq6va3t5OyAMXCGWJfHiKAM90N8vdZiatu2QoikgY03YnLpF3rmu32/roo49SxIw9XQjr835O84PrIh+H/oFb2dnZ0dbWVgpre5Tyh+WqKM/zP5P0EyVf/ewZ1/+KpF/5Pt+RNk3xSAmD574bDXXLGf12j0q4UnHWGwTBRrhA29nZWd24cUMrKysaHR1NIU3cE8gvT6hyaO3oQRrmi4A04AEkFQ4sggfhmVgv3+PClQZ9hYVy39uLKwV8eISKd8Q+QxHxPJSFNDw1zRGQNERUeZ6nNq2urqZNlC9cuJAiHdTLDUIcT+ehPMriFp9+5VqUp7tI+PcjIyO6cOGCrl27pg8//FBra2spFyJmfeKu0S5yH6hHlCXq7cYNmfWolSuO+H9sy97enu7cuZPkv1qtamlpKe0QX6vV0sFW3W63sLcIrtX+/r52dnYS0mJdjNfhSeWpzxyVVLDO7p8xQYD1biGdYcdyeHELFn1q4v2VSiWFMycnJ7W0tKSLFy+mbEX8ZBKW8O1xT3iPvxseAsEAPvreIu53OiKinU7EuaV2tED0h2xH+scteLQsHrLGSvt5JC7oZUrYXRgvzkGgPP10de5hSbkno3n9nOB2hUIf8RmTFBlxZQraAikR5SBRb2lpKe33IQ0P+/L2uwyBEDxE67LoPJkjMGTTXUEfG+9nVxA86+DgQBsbG7p//35afOh9B8FOvpFnvHLminNcHiCIZGpZeeoVR2yAw04aykY0kgpaE4F1xYPwunVwQtRzP/zQ5sXFRS0uLqa9KCSl9SfshMXE9cQoX2BG/R05kYLsC/H8RDmsmm9RiGV3ItEFw0ODMVIUM1N98juZSPFQp0c83E1AGXo9nXNB4LGavpkP6d8oTdw0H5c4tk6YegQFDsG5DergZKkT3x5iJXLRarXSCtMoZ67M3O3jM0cV9HF0RRzpSkWEFeXe85KcX4I36/V62tnZ0draWkHBes4H2c24ZyS2gUb9fdEInFWeesUhDaEeELgsbEdn+WCMjIwkRRMtok8OEAk+L+iBMzomJibSgioyGT1Gj4V3lMNkc6vuFgoSy4lQSDsStJhkKAcgpisNj9Aw6J7T4GQYURwUJM/wXIXooqBcY6SIdlK8fZTYRpCYR5eYQL4pkD/blV4M2/pPdEWj9Xa0gwIjygJqnZmZ0crKii5evKj79+9rd3dXBwcHaU9Y38HdlY4nJiJbznO4oShzT7z//BrajzzleZ7qTy4KCYZsOUBb4a+azaa2t7cT+Qlx7eR8RHKurM8qT73iiD6fVC6w7mM6rENhODz0sBiDjXJhknG2x9jYmK5fv64333xTzz//vFqtVlJSoAqHvB4ec/7BrYyvVyAc7PyICxqcBoPtIVOyV13RuPXyCQ+Z5ru5++HMKCXPf6FPiGo43Ma68x6sOhPLt/EDUaGsIJ2dSKWeMazpGwKVcQQ+0Tx0HItfS/tRUiw6nJyc1JUrV3Tjxg3dvn07ZZD6WKCYPPM1Pt9dlVhX57z4HHlxkp7PkVOQA+Ps4f88P9lnV1Jys3F/FxcXk3HZ2dlJuTsgyLj2CVl19FNWnnrFIRVj9hQfRK5xXxyBk4rEkm8fx/e++hC00W63lWWZrl69qr/yV/6KfuqnfkpXr15NHY0FZVKTOOSTi4nCpJCUICT+PPDZcx+83X7eK9+Ri+DHCSBcoAj6w9er+EI40AzC72RrRBZxERTXIny+DJ206WazmXI7yCFwK8xEmpycLHA2jKErKN9fg37x3yAZ2sL99IMrYl+sGCMf9Xpdi4uLeumll9LGQbgscF6elYzSdBKU8cd4OWHrqCMaQ6+TE9H0v2dAu9JzUrjf76f1U+xY7i4LxssDAjyD+juJ+6RyLhSHF7d80Xd0QkwaDiQd77552YSGbQfGLS0t6a233tIXv/hFvfDCCylVGzeFgWDwnEjzhCSP4ePegHx8IxmUmrscRGEQNOdBmGzOI0jDPANfewHf4T53/KEwmRwe+74h9Ksjt5GREbVarXRsQqvVKhyERP2c90HgSVv3lbaeOUo0BD4jkoxMKOevfBL6xIAXiPeydeH4+LhWVlb0wgsv6M6dO+p0OgmFUV8mH4rprEiIow2/xt2riA79OwqfObrDtUUxQ44eHp4caZplWSJF7927pwcPHmh7ezuhO+cwnBeKRPlZ5VwoDodUTt7FUKekxyZQZNWzbLgy00k9BJMoRKPR0Ouvv66f+qmf0o0bN9Ip4PiX1Wo1nYheqVTSegzX5iASLJovpPM1LP7jsXT32ZnAnsbuWYAOjY+OjrSzs6P19fUkLG6lo1C6QCJMcW0JE9AFnOtHRkZUr9c1OzubQqv0sU9erK7vTM//4+PjKXEOZe5uqMtBVHSuCHln5LLcUju5ShgaVw0UtLS0pMXFRd2+fTtxHX6+j/eh96lPQt4dyWUfi+iCu7JBUft2gs4voejYX9ezYvM8187OjjY2NnTz5k3du3cvbTvoBs7nkcvDx5VzoTjcV3QB9rAbFiAiCam4ujOiBWl4NAHhx7GxMT3//PP6iZ/4Cd24cUMjIyNpByrIUXb2Oj4+LkRFfKKDJvI8T/tZQNi64kBoPWwbw50e4RkMBsnCoEgkpfUXeZ4nVELEyUPOZcUFySeZp6qzTgd+BBcEom5+fj7BY0cVtIe+9lCrNDwRz7fHi1yHKxOud2SGnHhUze/3364spaKSxDjAz4yPj2t3d7dAFkfegnuj8kD2XLFFZeYy7Z+5YmDrRo5NkJRcERa9HR8fpwQ7X3Zx//593blzR6urq8qyTI1GI70zKi6KczFnlXOhODxe76tBfXCkosZGqfA7+otxI+Ber5fOH11ZWdFbb72lV199VdPT02mJMRuhHBwcaHt7OyUJ4T96dqZnBLLnAgMKCcikh3twwWSywG+gqJi8pAdvbm5qd3dXExMTaSWluxN+aI+veMQyOydQBp9RHvS/KzMm2NzcnBYXF9VqtQo7V9HfvMvHkM99pSbvQjl5xivGwMO6oEbGmXZJxXUfjE1sk0dp/FpQUNxezzkz76eIONyFOYsU9c/chXRU5MjFjVKtVkvLBSYnJ5VlWcr96XQ6aawrlUraxZ9V5tGdj3Ppk5ZzozjIeANZSMUt630gUAj879dIwzNBpeHZKLu7u+p2u1pYWNArr7ySjjQAGbBIq9/vpzAtgs87XVhxJbBcKCeiCCiCqAg9okFKMMlItHF3d1cbGxu6d++e7t69q/39fV24cCGRe3FlrYfWXCBBEuQx8D2/IyQHzblr52ny7v65r+xCj+LgXiamNERZvjrViWz6h/yW6Kp6JC1yNh4FcsUc+QnQFlvtQWJHtOJRvNi3zq8wbq6UIoL257pSRFn6D1mhGDEMEFshgoK3trYKx4p40p27cpSIDD+unBvFUUYWOa/BQPiA8r3HpuMg1Go1tdtt7e3tqVqt6vLly3rppZd04cIFSUpxfJbD++YpQOsYSkNpsD3gyMhIGlRyJYipSyoQW7gECMPu7m5ydUZGRhL59b3vfU/vv/++Hjx4IEnJx3XBkx7Pr4g+rJNgkRBzv5ooDG4CioPQNbyNn8/hiNBDrb4MALK03x/unBURW5zwbjXPcgHcaHiUAlmJbpujECIR7NGJBT8+Pj4zI5jiCrPMXaIPkVWegfvmaIPnQK6DIBuNRko6JLMZfgzkTCo9vAwKn3F0d/4szuhJ5VwoDhrie25GCyE9PlhScREbnQWh6TC6Vqtpfn5eN27c0KVLl9JeCXmep30umfD9fr+Q/IUFZEIwECx8I8UX4sqzEKkDKxU5GBtFQ0Qhy052fHrw4IFu376tBw8eJM4Dd4R6utKMAuA8kEcvmJxlSVRScad42tfv9xM8Xl9fT6tfsYYeWfKJ5uFZclGcCEV5MLZuxV1ZlMmJKxuKKxaMSBlX4dESR4ujo6Npp7WY9+BGzJ/n9fG+510uq7gSrtBQ1o7YyFSmTuTn4IY598MzcIExZnE7gydFg55UnnrFQef7WocyyxiZavcNKW7dolszMzOjGzdu6MaNG5qfn08REt+IBUTgSsdJwAhF+/1+cjWc7fboDv4p6wZ8QxeIVYive/fuFRZh4euSO+E8CnWh39wie6o6QoUw87+3xfMReA71yvPh7vATExNqt9uF/A32Vo1W1MPQKInIR7nyQcgpZS6CTwBXHtGF4DN3GfibtlWrwx3ex8fH1e1203N8jJ2kd6XkPIdzK/Q7dURp+I7vTvryXJK+SKjD2EjDLRxJIAQdM0auIFAerih5B9+XzbFYnnrFQYna0AfFiyuNqLk9sYmOBi0sLS3phRde0HPPPaeZmZkUBouLzzyiE+vnAwBByC7ZCJUnaHm0ZHNzU3t7e6ld8CBEXB49eqQPP/xQDx8+TIiH0Bo/np7u1hoeh77xkCrFIT33u8BzrYcEfaKjcGgP5CK7nvnxBJ1OJylRLKBn3OIG+uTGLeIa9tdwKx9dWOpIcpQr7agAMCo8yzkYRxllaCZGcuiX+B4nmgkFuxGKiNmVONGrqamp1BcofD/ugOf7bm+1Wq2wnsvdFmm4CTfvdI7qrPLUKw6Hxe4/SsX4M99jWfD3nO/wrDnnOhqNhpaXl5ObMj09ne7zfTZwXTwTlXrwXhQTEx4LgiJigqBUOp1OygehHWT/gUJ2dnb06NEjPXr0KG2Yg/AcHR09tgerK9kIQ/ncuQIvbiFduPxernME43wFLl2n09HOzk5KgyaHhUVWWZZpfn5ey8vLKaRIFMDXgzA5QR7Ol7jbFbmNMuWA9fbi/I1H31B8vs4FhYZMYki8/2J/YjQ8AoRC9vwkVwYe8alUKimFn/dzPUqHZ/nSeh8r2oCMocRj3R2BPKk89YqD4hEL6fEYeCSiYtKNVEzrBRFUqydHCa6srOjy5ctqNBrJ9fHNcOEeiK2j3RFQuAUPs8b0bpAGPAvX4VcjXDs7O7p9+7YePnyY3tvpdNKA+xoZFA6oI7poZfDd4bmvQ8HyuGvoQsw9tB2Bpb/9fxAaYVm3uh6uxfVbXFx8bAMj1lswdq4I6Ef/LEY5vA/oe6+nK1CucbkYHx/X/Py8FhYWtLq6WjjkOhqoyAv4892oUfg7ugtekB3IeSI8KE53afx6DgWHl/HkO65jrL1vvB4uJ2XlXCgOOsT9a4r7gb7wyCMuUfh90jWbTS0uLmplZUVzc3OSlHbxRpBxNySlhBysvaQCeeqD6pabXA/fmRwl4Nv2wZTfv39f9+7dS8/ntC5f2s07IEbxk11punA48uHvSPY5P/JxwhMnj8PumP3JpKMPaffdu3e1tbWlq1ev6urVq5qamkqTd29vL6E0BBsfnTYS2vWJWsZ3OKfDc+irqGRBTaOjo7p06ZJeeukltdvttHmOcz+0v8z9cyXH37zHXQKX16jMUBogH1cE3sYo8+Pj48k4EXKnL9zdjkqDejtyLStPveKIsDsqAPeLHXYBSV1AeA6hvzzPNT09rcuXL+vixYsaGxtLpCSWDq6h1+ul6AWKp9/vP7YJMUrOLS/vdKVBvUAUhHj91LCDg4PCwjVf7OahNerlguwuB/1W5n64Uo2Eovc/f7t744lh1MkFOsJgJ/myLNPu7q7u3Lmjvb09PXr0SL1eTy+++KLq9XpSkpyF4hOTejKJ8Nl94voEjtxDlBdHrCSegQKXlpb02muvJQT58OFD9Xq9hPA8ectdIurgdaevqIO7I+5muyHEKOBGedJiJL29jI6OqtlsqlqtFjbscaXhYVlHodHQlpWnXnFIQ3jsi8Xc6krDieg+pS9u84HCQo6NjWl2dlYXL15Us9lMiIB3wv67pcN6IjwMKj63T+C4HsVdl8FgkJY6s3wbLgVXwVeFIlyOulwxeH94DoRbWtpFNMj7hHfQlx7i9u9jpibPcAWFQvFnVCqVtDnxYDBIe3s+fPgw5atQnn/+eU1PTyvLssR5cC/vdOhPm+kPiiu/qACZLNEgoYzp43q9ruXl5XS2LRvgSEoTzyND3mfsxuXczFnyjezGaIufEEe/eoibdsSkSBAzLjKK2L/zaGEkSCOyj+WpVxwoAPcF+ZziZCVWyDWqLzRzwZ6entaFCxc0Pz+vkZGRFDUB8tPZ0lBIIDsh/FAaEFUMMoqCTWFZT8KkZbdqToOjTkR5EBjgJn41VsYnQxkBGCe3uy6xHzxT092rKDhlwsS7PKLjhCukIgRfpVLR5uamvve97+nevXtpK/5Op6N33nknjd/LL7+sRqOREsyYSPSvr2WJPAOTKroO/E/fObnolhuLjEKoVk/Or11cXNSDBw8SL4PM+ebTfqxCRMGudH0cPKLiPAVolja6rHtkD8UN9+RbSBIdYmNtUgwIAaN0qZ+HwmPk0Mu5UBxSMcuuLATLNW6xnexy4o+Jz2rOZrMpabgRDM9HIDyUBoQkicn9ezgRFBBKo91up2t6vZ42NjZShMQzCambcw8Qsv6DxfWJHzdlLrMWLrCOWJjwPuEisx+ttlSuSHxyorB41/HxsXZ3d3X37l3dvXtXOzs7aZPmo6MjbW9v6zvf+U56140bN9KiLBLdGo1G4nv83Fjq6e+LdXLOxxVsdGtoE2Pb653sCdJsNjUzM5MygCMvwd+eq4FCi6u6nfvw/s6yYSjYdyXnc9zSuMI1lugSER10V6UsWADKajQaunPnTumzpXOgOLD8wO8yOOU+d9T0zm1IwwnDDtuLi4vpbBQnseh09z2lYfzdM/SAfiAEQq2klbOqMcsy7ezs6N69e1pdXVWlUklL0F0xOkdyFmzkM1h3FI0/h/byzJiF6ULr/eb8jLtGZ5HS1Mf7ORJ1WTbMfL1//7729/cLRwCgFPf29vTd7343obKXX35ZFy5cUJ7nidDGWqKc/f74bvoAxYFVjigsKseITliN2mq1tL6+nrgw7sdQOdnsaAvZ4dmO8FzWQWagWXfFOc0edBddQ94BER/lE4Th20OiTLhuampKFy5c0MzMjN5+++2zpuXTrzgkFcgqaaggXIO79XCIzgTBqrMpzdTUlGZnZzU1NZV8QRfAMpKtjE1HkfimsCyCY5s2kEyv10uHGx8dHaV3u3L0KIgLR9k+JLTVUQOWxn1dr7vzFA6TvR9dsMsUiFtrin/vvAfWcW9vL53Turu7m/pNUlKs4+PjGgxOQt/vvfeeut2uBoOTw7sbjUZCkPv7+wlKez5CtKL0kctGlA/6zxElLiGGQFKSmampqURUEx7nfvqXsaZ/qaO7hNHV5L0oDdCro2xfK+ToSSoeQEW/u1JxtEn9mFNZlqVtHzjsempq6ny7Kt7BLpTS4y6La3a3hJ5GG0Ncflq7CxHvkx5fF+MDxt8ojc3NTW1ubqYwGDwJvif5C6AE1/gxHo//DWfiZKiHO72fEBZ3ZyIx6GiKNpQlgtF/EWm4MEak4a4bbSRqwvoauAXqh2JF4Ik23bp1K0VhZmZmNDc3l9ZoALm53vkvV2JMJtrrk7xMlpCXkZGRxFP51pCewAe34y4iz6M+nidTNl6OfHi+E6r0NfLrys7rHp+PYomGgWs9mpJlWVo4Rz8/iRiVzonicIjpzLRPJK51Zjp2IugDjoLcB4fMCJBvo+/Pj3Ae4pXELfbHoK5sqIMgeVoz9zvk5O8oYNTb38v1kQh0KA46ckF1heEkn2/2Gy21VDxPJfrmrvRcaRwcHKSFeRsbG2kCeiQE6wipNzIyosnJSXU6Hd28eVMTExOan5/X0tKSWq1WSrLz/Anae9bEoG5OTnKfoyyXn35/eLYqytuVkyNDlEy07NGdixySZ6rCYTiC9udQ1xi18jbi0ruy8PAryJvVtbybCCGZp+xBc1Y5F4rDLWjZd5HPcA1MiQx7tVotHIQUJ4Bre9feHqoktRpeg7AiCV346Z1OJwmnp7r7OxhwRw7uTng42NOTsVIxhyNOgrL+8DyXaK0llQqv1yl+xjOB70dHR1pbW9Pdu3e1trZWSI9nEiHQg8EgZZqCJFhcduvWLb399ttaXl4uHOxNuNtlJEaPIop09MiYM+Hd4DCmJPQ58qB+zrm5a+gcmxsCVxrIqytaEuP8O8Y25oO4HHO9KyaujcQ6z0fWUXyObkkTiCjUy7lQHDEGjqDwmWt5D39RvLNdE3PilcNPt2I+6Ag4gk/SFofa+P4ZsNOcpnZwcJCeF4kp2uOTzwXtLF/Y2XfCnCifMrfDUUOZMnDBi+91os0nl7tDrsSA+SiNzc1N9fv9wqlzEbE4P8V7qtWTDXUk6d69e/rGN76ho6MjraysaGJi4kxeC34lkp6uQL3vHa3ESQ06HQyGK3pxd6M76AbLlUdEeBgQZIB9M5z05HMmv7u2Xhzp0UaujZtLu7JHoXqmr7vW+/v7T3RXnnrFIRX9bPeLfcC8c90KMFhOXPlg4AKhOCQ9JgB0sid30bmuOFiwxgY9kdSUigdIRXjs/ATv5jlMEBQdRBrbEkIcolDLCFJ3V/x7RzGUiF6og09AlLpb4Wr1ZNXx+vp6ih6RxBXJQc+DYLKzeA9ly1ELx8fH+vM//3PduXPnse0PpOFaHWnILzDxaI+PLZO2DIm5nPjeFZJS8l/kTqJydiXkSAM5pC9BGp7cFjN8MSbu1sS6uwtd5vZ4AhjF1zb5uilH3meVp15x0OEeSYkwP05yt2IedfCoBUqm3++nzXki2eWseNya33M0fDtANoxlAKmXD1gkEqWii+AkWxQGFthNTU1pMBiks2udLKNvHB249XBkQXFhjj56VCJuuTzcx/qI9fV13b17V+vr6ynxzd8RFRDf0TceTZKUlMn9+/f13nvv6ebNm/r85z+vN998UwsLC5JO8jxYgcu9fqwD9UVGypSGu2BYfJcjOCs/4yaOnSsPqYiG+Zs+c14huk2efcz1HOIVZYu6xqxZFIDzcMiUu0RwRrjYZag9lqdecZQVh10eonKY58ItFVdnMhk99RuoTaKMZ4PyfNBAr9dLu3rt7OwkTY6PzsIrj+k7iYmldjjqCIC/yYEYGxtLyMJDx6S9E9J1xRoJtOhju+Jw5UBduQcl5hPDUR9j4KnkDx48SErDlYBbYndvEHqeiWCTlMTS/P39/XS6er1e1/z8fAppO4oZHx9Xnhc3GIorh93IOOEbiV9XQqwViuuFnGB194v+jDtzDQaDhDR82T5y5Gfs8BnogfwOooDOvfl4+XEbbkT8HkkFZehcz8eVT6U4siz7jyT9+5JySX8u6d+TVJf0jyVdk3RL0t/I83zr9PpflvQLkvqSfjHP89/+uHc4hHdNKw15injeBddyPx0RczTcyp7Wr/SemLruRCiMuzQkOH1g/PmOZICk3BuFF/8elAGJ64SmC4I/IyKJaAVpa0Rwrtioo4c5HZ4D9UEag8FAOzs7SWlwhocnI0WU4Uqd5/o+G5LSGTHkNUxMTKjX62l7e1vr6+u6cuWKpqamJClNblAZ54wwqX1/WJ9AUdFG+XCC1CMbXMs4RsXsvIkrIELMHFpF3X2JgZ+fw/IGUsd9hy8fy4jEvTh/Qt+jnHwFrc+bJ5UfWHFkWXZJ0i9KejXP8/0sy74m6eclvSrpd/I8/9Usy74i6SuSfinLsldPv39N0rKkf5Vl2Yt5nn/stsq+0CxqTY8oOFmKUDqMlIrL7B1ml/moKA1n/SE7WTHr61mY8AyqR0qoiwsX93g9uXZ8fFytVqvAfFPcbXMhhU/x5/g1vIffDmMjYVrGI/FuCEJfKLW9va27d+/q4cOHacGeu0mRY4rujsnVY5yBE5L1ej1FO9ikF16LhDt333AhK5VKQpOO6KLy9Xp4f1Fc+btCdZnjMydoPcGPHdTZCNnHCBQML0Ty29zcnObm5tJ+o86HReMXDYtnDGMMMAgQvlGJR1c2lk/rqtQkTWRZdqwTpHFf0i9L+pnT739d0u9K+iVJPyfpN/M8P5T0YZZlH0j6gqSvP+kFbv18wOhsX80aJwuDQic4bMaKOAEWiS4nmDhSsd1up/dlWZaiKU624ps6QnIF5hbWeRdXNqQYx7i8P8vbxr3RVYluEMWRRkQp1MtD4E6E5nmekEaWZck9WV1dTdsf+oRxDsrr4W1wyxyVhytOhB/L7GtGqPfh4WFyT7Dy1Mv37ihDg7yD+jL5nMSM0ZKIopxXk1RYFd1qtTQ3N6epqankTrnB4TlEylAcHA6VZVkypD4euGi4MBHdIe8oiohO3IX/JOUHVhx5nt/Lsuw/k3Rb0r6kf5nn+b/Msmwpz/MHp9c8yLJs8fSWS5L+0B5x9/Szjy1OJjLYWCn3I704IRW1MZ0IlARReAJUzDDsdDra2trSwcFBsrIHBwdaXV3V1taWpqenNTc3lxQC29OXxdml4upUEI8rSCy7M/iRtIoRI1cGKCRHNG7F3aL4RKWenpYe64vrhNK4f/++Hj58mE5MR3niIpS9n8+iZXZl5UokQuxut5t2jmffEhTH/v6+JicnU+o2z2VHLFBkWfKgK1eXGd94mcnp44KCZ1xAnVjzsbGxtE1is9lMCYO+PwuuHZtOw2eBqJy7cGVL/ThRkPfybj9iFGXhBHzkPejnJ5VP46rM6ARFPCdpW9L/O8uyv/WkW0o+K8VCWZZ9WdKXpeEyZQbYtamzxB6Gjf4//8fMSzoW4fRBxrJAnu7s7CQ+o1I52db/3r17unXrVtqEp9lsFojHqAj47Ra9UhnulO7XsDO6pEKuRoTZnvjllsQnvKTHlIQjN354f0x/R6liAUnAcqXBEQdujSPB6MrDFWEkKRlTR2ZHR0cp1wEuYGNjQ6urq7p06ZKazWaSCd8hHtmgL3x3L7YucKQHInFS2NEn4XBkDWQBz+GWG/ms1+u6ePGirl69mnaZ29jYKGTO+iFangzGuPiZM9LwSAXI84h2kbPDw8P048jTUbm7MW6EnlQ+javyb0v6MM/ztVOB/KeS/oqkR1mWXTxFGxclrZ5ef1fSit1/WSeuzWMlz/OvSvqqJE1MTOSeEMSgITzR3/fivvTpc1NHQZzFEFSv10sDQngREhTybXt7W48ePUoHIlWr1bQxMREOhNjrhRA4A++ThToz4Pi5TDKfgG6Nud7T8hEwVyCueOBmsF4Ut0aRbMbqojTu3buXkIa7J66kKE66+bhQ3zJ3puw61hl1u11tbW3p9u3bWl5eVr1eT30Fgc24Ii+MCWPV7/fTKXv0u1TcgMiVkEfuHE25snBkNBicRE8WFxd1/fp1Xbt2TSMjI1pbW0s5Qywug9B199bdCvoNFFKmMHyrQOYFz3AkR52ptysb+jxeH8unURy3Jf10lmV1nbgqPyvpTyV1Jf1tSb96+vu3Tq//Z5J+I8uyX9MJOfqCpD/+JC+KE9B3VoJ5hq1218CJU19IVaudHIq8tbWlra0tHR0dpQjGYDBIYbJKpZI23GFLv42NjbQfKGnU4+PjaY9MrwNb0rvQehiWekrDiI9PWD5z5eeTydEAJKGTZlzPtQhfv99P/AATXhryHh45oB7kEOR5/hjSoF95RnwvY+fKznkJBNbDlo6sfGFbv99P1v/g4EAfffRROnh5fn4+hWaZQBMTE6luTMzDw8OEHmu1WjpywJUyk8c3hKY97gq6cnSEValU0gFKS0tLWlhYUL1eT9ESZIOzUkA+jKdHtKrVakI7uFmeb7S/v19QGpH382iVjzUKEHeGLQpw755UPg3H8UdZlv0TSf9aUk/Sv9EJSpiS9LUsy35BJ8rlr59e/+3sJPLyndPr/27+CSIqDvmlos8pDePQrpW9uCXxXP1+v6+trS2trq5qd3e3QCz57ltkg3Je60cffaTbt29ra2tLkhIBRzIYBJbzMA6H3b3yiemnzzsh54w4n0cSD8Hw5fuRK/C/nRhzN8GFjgLpRor3xsZGCrniSsXJU6Y8/F2uyGm78yyOXNwtI1EJw5HnuTY3N/XOO+9ofHxcb7zxRnIFJCWl7iF82gN8Z8tCzzJ11OV/O+x3HoyxRfmBHkZGRjQzM6N6va5+/+RwLhAMHAsy5xEOHzOUBrwH8wHE5Av+nOdyF9VT5X07StrmZLMnOz6pfKqoSp7nf1/S3w8fH+oEfZRd/yuSfuUHfFdqoEdMHPYDvRz685mkZKmkk8nV7Xa1tram1dXVBBdZZu9KY3t7W6urq7p7965u376tzc3NBBuxbt1uNy14c3eFwXTfMtYN10gq7hFRpvVdCcSJCPxFGMpcBtrubhv9ijAClxF+tkfc2trS/fv3tbq6qsPDw9Tn7jM7H1XWB4wlfEKr1VKj0VCv10suoSsPjxqQmwFHwT4fd+7cSZvzzszMaHZ2Nk12xgPOIcuydLiRdLIKlM2pfdNpn2yEdVmwCFKJ6AhiExliLVGe54kjo01s3iQp7WRGWNy3eeBvXDCQb4xMuTvGGDtKw0D53HFOy0PijNGTyrnJHHV4joAj9A7fvWP4P+5zwCDheqyvr2t5eTltU0fqOGtRNjc3dfv2bd29e1e7u7sJ9fgkRoGQ+MTEg6zzaxlooDkQ1CMoTuh6mMyVD5YUJcjepPFad3c8ouThW48yucBWKpUUcn748GFK7vqkys3Hzj9HabBUHsXrKI1+pV+cCPYJtre3p3v37um9995Lz5ucnEzoAEvr8kJkrN/vp7GGYJWU+C/aydaG7XY7vdt5LNwOsntRuiBLUu/dnZGKWxnQbndFuAYXxxdNojxdFkEhRFBAqp7IGJGUKx4Mr3NVZeVcKA4a74LT6w13L5KGAsa1zs5jSXgWE3Zvby/tn1GtnpwVuru7q0ePHiVks7+/r62tLT148KCANICAEGBMsJ2dneRmYOX6/eHCJWmINPzYRof11NvTsaXikYBuNRCSkZGRdLaopALpiA+Pz46VgUSkzvQNwnh4eJj2SIUP8iQ6qZxHcXbeIyi4jfV6XbOzs5qdnU2RJb7zMXeijgmADIDWMCYffvihWq2WJiYmdP36dY2NjSX0QB2QE3gbJ6IducIboGxYYuBbJLiMcTyj7yweycsYqXBOxfmsSFhi5Pb29gobQXkKAnLmqeZRYUgqJPw5Wo9zCUL4rPLUK44yYURTeqgPy4IGjsw8VjWmkHMoNO/Z3d3V7du3dXR0cljT/v6+dnd3tb29rYODg0Rk+ale+P/A3sFgoEajkerKILp7gGLwGD2KAAsZs1B5FoPMmhmsYKPRSPunQrJJxQVPTIj4PBdyJ922trb08OFDbW5unrk+wydGJFu9zdQBSD85OZl8/42NjUQux8hKJJJdDqj74eGhNjc39a1vfSvJzXPPPZdcAicHmRigPT/HpdPpJPTHmLCgEWuP0fJVqOwmh8EoW/VKvfy3u4OuMMiORRH4WpL4bOrkKfGujDwbFT6Edzua5d4yJRfLU684YnjLNWTkOsgQhGNg0uG/E96cnJxMA3d8fKzNzU3dvXtX/X5fq6ur2tzcTIqJ++KOYLFebNqDFe/1eml/SpQXP1JxPwoUm/u4FBSRQ0cm/MHBgba2trS7u5t8fFaIsnCPZ/Dj6eUILdbLiVMI3/X1dW1vb6eoDcLtPItU3KkskrGOjqRhspO7i1tbW4k09DwKH2N3Y0ACzjew25hzIleuXEkcDajMn8f9oBNfJuCRFTad9mUKZHN6+B4F4FnHHqnyiQq68PAriJBJDhGLAnWlAR9DeJkx5R0epqUNnnDmqNCRqyPEs8pTrzgkFYQkwmSpuDDJ2XomPtrY2WY4Bulkk5g//uM/1sWLF1PGHhaYHAWH2v4/woT1ZxCxRr6DupOUkSx0V4sBB9U48eURFDZGJsWa1GQmkfu98DoeDaDvokVCSdIeF/gyZOGo0KMj7s9H9MHitaOjI7Xb7TRuPM//9r5y4lUa7pNBNGN/f1+PHj3S22+/nSIqFy9eTAjz+Pj4sUO7QUEezcHwoGBQHJXKyZqX6enphDJQGjzXxzqOK3LpbhHGBuITbgbOZ3R0tKCknNtyRY+y8LZgLJBLJ0kZFw/pMy98TpWVp15xRDKJz6TiNvigC2C9Cx+TjnRzkAehVE7oWl9f18svv6wbN25odnY2kaMjIyPp7A+Ps5NEhqC4gtre3lar1VKz2Uy7RUUY6H+7AHhbEQZ4AGDz/v5++g23AeJAOBB8lAfPc6hPm5xgBfU45KXfyyI1Zb7wWaQpysaXp2MQuC++I/Ibznl5ATXt7e3p4cOHevfdd1OfNJvNhNLcpXUXslYbHqaF3DCpSQBEOTh5yYJEVgljrCJf5W6pRzM8KscY46LA0YFqPIzPuNE3jK3PD38ebYpKEpmlD0HsTypPveJwSBxhsKMHSQVG2HMZgHkxvZj7EWDi2LOzs5qZmZGkFFKbnp5OKy273W7iC7DIDAYhQ67r9Xppoxasm7ssHtmgTdTNSUoP+7LLGEz95OSkZmZm1Gg0NDIykhJ5UIzur1NvYCuWCnjc6/WSpXZE4W7Dx4XqfOz8WrfC0f3ysfOoUpkScW4Fd8LDyCMjw60LHz58qGvXrqnZbKbEP19tHdtEHRyJMZaDwSCtByGjmGRB5IuIH8oIy+1KClkDZaA0UDgeNUL2IPg9GkJBrinId0wicwXj13mUzyOPTypPveKQHt/yvcwqScUdllyBEI9H8fiOUJLSCWGtVkuVSkXb29va29tL57rmeZ6IQ084c/7BoSJ+MbuBsfmKQ313uXx3JpCFH+IkKUF6lAbRkImJCTWbzRRNkIr7ZdJHCFGn09HOzo52d3eTz4+lhWNwzoAf6uZj4m7DWcokfu4TP7okT7rff0eF5IoI/oR6AdNxRyCfPbKALGChMQTSievrHAKTiijL+Pi4pqenk2IhGkGoNHJwPA/Fj/HpdrupTqAMUKRvDRkVLs+PnBtGwhMO3WC5++fRHNzkiNpjOReKg1JmiZxgcsIxZsV5SDRGMtxqbG5uJt4Af9/TeX2LNd5fhoD6/X7KNmX/BepHXbBoKA5XfLu7u4WcASCwZ8mSOzAzM6NWq5VcIoSX96HkcMdon4e3pWHoGsvc6XTSilKUkLsKlDIl7mNVdp8Lut9fpoSoo4+vR414Nv3KpGXpOpm/zWYzcRAoG347KnOlDt/gBHO/3y+4dVtbWxofH1ez2UxRGnI5PETa7XYLferEJGOE5Z+enk5Zp8iEG5cob5Iea4sjk+jeuxvqCgXXxUPjZeVcKA5nod1HlIYbpnj0IpJyvraAdPUIyfb397W2tqa1tTV1Op10rgTMuJN47gI5ioioo9vtamNjI8X3Y26HCwQDCSrY2NjQ7u5uEmRpaOV5b61W0/T0tGZnZzU9Pa1KpZL8ZGmY1n5wcKDt7W1tbm6mrQGcRKPefhAQCgp/nvc/SWlEtySSpoyjKxS/3u9hvFG0XONKA8tOLgf/s80i2w3evXs3jXWz2SzNLqYt7hLHDajb7Xaqi48fWxlOTk4WkJ9Pdo9ScWYw7gcyQ8Sk2Wyq2Wym50REyvOie+UhWR+bOFbOEZU9j/+fVJ56xQGRFUNz7h6U+dLOPHtUxoXQw2Xb29va3t5OZJJPJlc+KA0grydnuV+Ltdre3k7bvTUajTRBnBGXhn4qqz6Pj4+Tbwt68UxG/N9Wq5WENU74avVk1S5KY2dnp6AMPOwb/d5KpZJ4gTzPC7ueubvwJFQRicwydOZjVqZ8IkHK34zN1NRUIiWJQECIkiZP9Aa+anx8PLWDvsjzPOXzsCak0+lodXU1hehxR5zPwi31BWKVysniSFZL+9nAnCfsq2ElJdKV/BaXOye26TvkkOLEfHTt6bOyfmUcInl+7qMqCAgTjOKC5gRQLO7vch0MM4LjcN63qYuL09y/LJsgZXVjs92NjQ1Jw0VxrIXAPRgZGUlJRr1eT/Pz87p69aoWFhbSiWYfffRRiuKQecluUlmWJXKNdg8Gg4ReyPr0aACJTFhY/Hv2w+S5pJxnWZYSyFwBg+y8/WX9EcO58XpHGrFfeQc8Bieq++HMniBFnghcQq1W0+LiopaXlzU5OVlY2wNicVJRGm6HyFIDFFbkFzxEThh1Z2dHeZ6nXcyRNSYlssFYYVz8yA7nbiIy8AnvMurzBBngfRHpxXHgsxidKStPveKQhh1QxiS7fys9vqCLwoBJxfUuhLmwvh669dBXFHj3C/mfZ3u6r6S0Oze+a57nafL5mhZIyKWlJV25ckUvvfSS5ubm1G63E5N/69YtHR8fa2xsTAsLC1pYWEjp8/v7+5KG6eXdblfb29vpkChHSJ7vQjulkwjNhQsXtLS0pFqtlpLa2DkcIaWvfUKXRULoz7MiJGXohGvLEu7oQ9ajwCf5pPb9KLD2bP24t7eX3JU8z9Oh4O7Ogj5WV1d17969lBDIrmeeN+HXb29vJ1dvf38/LeknsxX3xCc9ig4l6JxXRFwehqW40mA8ndcoQw4x89ddQEfyTypPveJgkruP58giknuxo3zSI8juD/Id0NHvwwJLxcgEA+KDGC0CHMJgMEi+8vT0dDoXA8uJoBHBmZyc1I0bN1IIkSjQpUuXEveysbGhiYkJzc7OpoV5nO/CWolOp6O1tTVtbGwU1mE4xHUGPctODh6+dOmSrl69qsnJSbXb7ZQDAArjB0UeUQHFla+kUoRSpiyiBaSQdzM1NaVWq5U24Imy0ev1UiIT2Z24IhsbG7p3715CKxMTEwnlMR6jo6M6PDzU/fv3devWLa2vrycDQ/TJlYakFLnZ3Nws9CuKhroxQbkPfoYdzEF9IGLvu+jaucsXv+P5Z7kbUbH76ltPWz9rLKRzoDjgCtDOToLyvZOFnvUGjHShBb1gOchrIKWa+2OYjk4lyhHzB+IguyUnvOqkpR91wMrTXq+nhYUFXb58WQsLC9re3tbDhw8lnSwKW1lZSf5xs9lMkSDgOMKPfx4JVk/Rxo8nyWhubk7Xr1/X1atXU3iRsK8LLgSej0uEwIwF4xCJPUeKXhyVoHgZM9aDoHxBaU4ERi7An7O/v68HDx6k8XzppZfUaDQSh1SpVNKit/X1dX33u9/VRx99lIhMlE90ix2FdbvdhGA95O/9x4QkP8OPIC2LZtBG+tk/p5TxTT5PzkISvh2izzfn8s4qT73icMvvfIU3zH2yKLRM3ChUoBOQh8N8d108VObxcnddqEcZFI8xdScueT9JXS78LON++PChKpWKFhcXNTk5qatXr6Zt8lhfgYtDnaOL4nVx94E2tVotXb9+XS+//LJarZY6nY663W4i/Dw5C2jN+ocosG7FpCHZWoYC/X8K4UjfqBceiCXruBgRsoP0Yvia0HKn09H6+nrqk+vXrycykgmG0nj//fe1urqqfr9f2ADYw8JliMnX9HihH2kfZHmlUikYFRSlp6pHdOahZJc3j1o50pbKw7C+TgnSN265cFZ56hWHNMyViB1BR/qaAgaVienZhbHjGWCfSMTdy/xy19Y8KwoR11IcmgNpHfkArdHy7GeKpWZQWYnbaDSSIDtZicJE4RB2pb+YVAg0yUazs7N6+eWX9dprr2lxcTFlp3r2KYrTx8OVNW33iA9j5kqlLJRO3bCGvhmOpz77imYnsWPUwEO4RDDgOFhC8MEHHyjPT/I7rly5kpb2ozTeeecdPXz4MK2glYony0e31LkOxhOSExkD+dA2DlUiWoU75IRrnLg+li7/UtEt8X72MfCIiStlvuNzH+uzyrlQHE7qSUUhceUgqUCM+RkYPln9uVjHkZGRwpmg8QBqt7zcG3+8blzjkwt0gLChsLiWJK3Nzc3kw3PgcqVSKaxd4HkenXFCtN1uF1LKPakJhDI/P69XXnlFr7/+uhYXF9P7WczlCpt7+U2dy8ajbNyi3xwRCPdzyJOvy5BU8L29OLT3DFiSrdzVgntot9t67733tLOzo9XVVV28eFGVSkUPHz7UzZs39eDBg8L2fu4+UV83HI4APPrmyhWOiKQ00uJxB11BQda6XDmX4bxazF/y/vTfPMuVhiupKOcfV86F4vBB8kFzjenXYr0dNnq+hTPojlCI73tMnPfwbAQiDpLXISoXnxjScBIAFbkXNh5hp+4RLZSx67SX82w7nc5je0gSLsyyLCmNN954QxcuXEhIxTcfhph2dMb/MSW5THjdx/Z+KStYZ1/9GZPt+B0Tl6gf1t7D2j6JvR86nY5u3bqlra0t3bp1S1mWqd1ua2dnJyEN+iC2xXk1l7sYKuVvRyu4ebgnKH0UUMxgxX2N6QiOfBx1+bsZCw/tosD43N3viEyeVJ56xUFnuN/oigMyMPp7HtaKaeYuUFGY/T0MIIPmRCCC7IRT/M6fgZUhpo81dHhJMpGvgXHhwkVxAWOQWTDVbrdTWjPvdOuWZZkuXryo119/XZ/5zGe0tLSUEsz8FDbqwjNwB+ln/9uVmo8bLppbvrNQB5MK41CWoXuWbEjDPUfcPfEx8Tp5NGl9fV0bGxsFVBGXJLhMuRLgs7I6Mka+DwaKDWQbycrIxTHWkTB1Be11KJNnlD8yBKHuz6Ie9I0vhDurPPWKg0KjogX3yInzFa61peLiH34YnOgvkpaOe1CmIKRhPJznl7kukTT0tQekh2fZcOEdoVuWcEcBZh2Jk2mSCpsrQ/QSOiX9vd/v6+LFi3rjjTf0uc99TgsLCzo+Pk4kKkoITsCVBhbdz8wts7yMi4+BF0cA0uOrn6Wi+4E19nf4c5lcENysA+GZXOMoEDcRBUlY3g2MGyNK5FEcjbhset1AaOSRwElRF/gYf58rJa9DNFCxL2L/YDxBNxgRP4kuKnP6xrOKy8pTrzgiAVamaT22LhV9P7/WfUMvTiY5wYoV9O94hq88jTDShQdlxue4RL6NG1EEyLKdnR11u920XsGhvhOTCBUTnWiIu0GDwSBFIBYXF/Xmm2/q85//vC5dupT2mSCjVFLK20DpOoeEC+gJRz5hIjymuIWnvyN/EseZd/o4umsEEnTL7jt4+bP8PjcC7h75ddGQlMmi18cVpaMwSYn85Ac06YR9dGWjvHqfnSVnrgg8C9p3r3dDF58ReQ7n38rKuVAc0tBN8M6LOR1lFt9LhHj+edTSUnnkxLVzGVkWr2PiYXX8QGSsOIIOh4CrIZ2sYUDYPJbv/cISftZkeA4JLsvS0pLeeOMN/cRP/IRWVlY0GAwSEUo/egIQ9aGtcCjkjLgSi5Mz9pH3eexPrLXvzh5RgbuL9LevWPb1M2VEdRmB7ePjirgsW9VlwZUksuNtdqueZVlhawKPVri8SSoYl8hpRLktc0vciMJlRXe2zAXhHidxnzSHKE+94qAwaVxAEW4miZOdEWp6x8SBcMXhCTcueJ7L4ILs1k0aMvtMdDQ3+Ro7OzuFfSGk4gnnXAuk9Q1cXFCcrGNDZUK9EHB7e3uSpOXlZX3uc5/T5z73OV2+fFmStLOzk5STNNyCH0I4Wmz4A1K0vU+j0gB+x0Q6v8fdRSJbZfkPZW6Jh1c9v6asPvRVnASMo7sw8fqoJKhPVEg+1iyk8zVJKI2zkI/3dRkRGuvtcu33+I+7tpCh1N9zibwf3BD7zuhl5VwoDu9wH8zo2/F9LFFR0KHxGohUFIUnj/lEZyJFRtqf6ens1Hlvb0/r6+tJ2XjEwu9nEvt5sAgnzyN5DN4BF4UwJqHb+fl5vfXWW/rCF76gS5cu6fj4OG1URL1Z3ekbGcO7VKvVFN5kDwrqX4b0fLwcrZxFkuIOxm0OEHBX6qAr+sbdgjjBeY8rZ5/wzmNExcO9Zz3TnxPRB4lrILioNJzHcGToXJ3XOypwJ0JpF+6Ik+rIEz9uGI+PjwunBPIcd0/PveJw6wes9I5jILBw7p85/HVNzcRzAaB4/JzvIUj92mipsJTOffgkr1QqadJCVEkq7A1CXX1zWdYwOEfgm6+ATjydvVo9OSNmZmZGL7/8st566y1duXIlJZgRckV58eOIqlKpqF6vq1qtpggQxKgjO9oahcyJzrOsu+cUePsdjSDsnuELN+RkeFmOB+PO74h6GJvIo0R+w90UxtXbEbkOaXh+ie/n6X0Td1uP4W3vQ+8Tb2OZ4ouufHyG9xXtQrZ4RryvrDz1ikMqWjQ62318SYWJJamQsiwNFYIrnOiHu3IgzItb4QIYeYZIpqG8fGCkYbit0+kUJg1tc6Yfq5plw6Mm8edJiafNLkxkIM7MzOjy5ct69dVXdeHCBfV6PW1tbaXUdo/OeGoz/cQaBvIidnd3S9EG7aU/3BJSytChk7wxL8Pvo92+E5dzMBgSHw/u9c/cAPmEd6QRUUmZDMZnersZD5QwLkSUDX+f9398p6Ov2C/epzEKEq+nuHLu9YYHmjmiw+UqU2SFZ535zVNSyvxn/9yVCYLmnejWIK6MBZrxnOiDOhR2v7LMwgIZ3W91hedZrP4O6uK+fp7nhTM1uJf2M9BxURSJS/V6XdeuXdP169c1Pz+f9gQhTyPLsgKBhoBDCrNqs9frpXNzOVuFvkR4vZ2Rf3KB9LEq4yB84vA3rqLviA6hGXNHnqQ0HHX6NWe5HVEx+N/R5fJrGBOyjh0lxAxnX8rP892AeYi2TJm5sYrHfvriP+93L+5qO7JGIZ+F4CjnSnH4YEf4iKB65wMXoz9ZNiDcHyMoPgh+TUw4o04oAYeO1AmkQD1AEIeHh2kLfFLfPVzrQuIWw5f9M/EnJyc1Nzen5eVlNZvNtAkP0D7LsnQt6fmQjShdwpMssltdXU3RGc+LoXj/+VhFXsb7lvb45HcSlDGKYdbIRfiY+KQuk6Gzvovp3V6HJ8mef+8T3iedt4n/UYhuZJ6kNGKbY0g1uiAxmhKLKyxJjxm0yN2Uladecfhg0sF0vg+k+50xvBqTiFAkfr1PSh9k97edV4g+e4StkKkMigs4pKP77pxwTvsgAYl8uEviSWlRmNi8mHNgUAjkiaCoeB4WErQCA99ut7W6upr285CGPnPkiqJf7QrDlQZ9Kg2X5/tKZC9MLkdVbvV5JlwR/Rgnu//thiIqijLE4v+X3XPWtXFsnDuirq4QkJEoV65cyxBP5FPKlJSjar57EpKQHs9zKitPveKguAV34i12pLPxUnlyjgscxREGxVPTuc8nQLQ4LlguQDwzCobDVH57Gj3cgguE8wzAVD8WcGZmJu0/ysTz7RFREjzPXSVcona7nTYBIvqCgLswu6XkGu9Pnxz+P6tDURreL/SphxgjkqH4pHNl7WjSx4froqJ3V8vRnaOKeF10U/x9HlI9izdhnN3QxLbG/vX6URxh8FxHhe5yOyqM41imFJ9UPlZxZFn2X0n6a5JW8zx//fSzWUn/WNI1Sbck/Y08z7dOv/tlSb8gqS/pF/M8/+3Tzz8v6b+RNCHpX0j6e/mTsNBpcVQR49f+vQ8osBzm2gnSWDz7MrLbUTtHC1XGi/gk8nq520OauaSUKMR76vV6UiC+HZ0f6oQyQFlMT09rcXFRlUpFc3NzKQOVuvnkdIH2E76I7LDB8tbWVto20NtTBq+9ryLE9jGqVCrp1DM2sfGoEGPhfcUzo3vjHIdbVojTiEBdZqIMxQlzFiIpg/AuA64AYnHk6TLp90QlFSOCZXPADVGMEEUlFNvNGHqWqKOVJ5VPgjj+G0n/d0n/0D77iqTfyfP8V7Ms+8rp/7+UZdmrkn5e0muSliX9qyzLXszzvC/pv5D0ZUl/qBPF8Vcl/fef4P2pId5xET5GKCoNO8YHMkLBKPAxgsJzJBUE29/nf2P1Ivqg8A6Eh0nCHg6+w7U0ZL9RMCSYUWq1WjpmEgWT53lhj1H3p6k/bhC5Kyilra2ttHMYSsXb7PA6KoYyv5z7qFuz2Sxs50d/eM4MSKiM2ee5HoaNZOCTSkQKERGUKbzYxvgMf7ZPZlcAjF3keWLuhkeKXNbL0IbXL46JK5OzFCf3+ffR3TmrfKziyPP897IsuxY+/jlJP3P6969L+l1Jv3T6+W/meX4o6cMsyz6Q9IUsy25JauR5/nVJyrLsH0r6X+gTKA7cCqxy5BY8H8MhPNeTCBVhpXMkfFcW9/Z6+GCXaWRHGPxPPX1wXKt7RAUegvpMT09rbm5OrVZLY2Nj2tvbSxyEhxYhVp0Rpy+iANAnJCb5PewF4krDJ78rBOro6d4U70+e4buSVyrDXa/cHcGV8gnK8xyVxXEsW1Xq10RFH9FiGRI5C0ly/1nf++RzfiKu7nZZds7GFWIZwnCDWdYmxsSfyRwpi7S4vDuR/XGuyw/KcSzlef7gtDEPsixbPP38kk4QBeXu6WfHp3/Hzz+2VCoVNRqNQip49H2jJYidQoe5xo8TLGpe7oua/yyflf9d4/tE8+fyLiYLfr+/b2JiIkVH5ubmUsp3JBt5Hu2PiWCRjfft9BDUPM9T9IV9PPI8L0z8CKWlxw/K5n24DbhT9Xq9cIwBa3GoA3VDkTixGEuE5/ztmb0uE08S/sh1lKFWf4aPo98XP+Na3BH60RFrdIG9Lo6iyhRUWZvKPnclH9tWlnTnqMeP0Sgrf9HkaNko5U/4vPwhWfZlnbg1GhsbU6vVKggILDI/zuK7YPkElYaIBKvtRKp3kmdo+poU7qeUoY4oUGUcQGS5paGwUHdCs2yh52nJvmkywoG7425QhK4gDd9LFLfGDz0uq5vntNAXHtZzog+UODU1lSI8WXayzSG7uVMHJhch16g0Pm7iRDLT3Y0yxRDRhvT48vuz3MyyiRnrWabU/ZroaseCTLphjPXlOmSCsXSljUxzr8sqSiPmwcQd6Z5UflDF8SjLsounaOOipNXTz+9KWrHrLku6f/r55ZLPS0ue51+V9FVJmp6ezv38DEcevimK70UZXZpYXDDiClefJPzvAl3m11u9H7uu7NpoDZmEzilw5OT6+rqkx/dYyLIsHSvp5G/cLxIUwndMdA93+tJrBM7dOfrclRTPQBGipBBADvHmwGQW+LFOJs/zhEBoU3x/7FupuOlv/C5OsDhe0YK6y+j/x78pMSJRdq27B260osEpIy4jIim7xl1lTxOPrhTIwZ/L2JzVdxgFCPiyPqD8oIrjn0n625J+9fT3b9nnv5Fl2a/phBx9QdIf53nez7KsnWXZT0v6I0n/G0n/t0/6ssj8EkqdmJjQxMREYWIAxb3zXbglFWA3hYFAYLnP2X23JmcpprMUTLREPmBMHEkFopJdtjmbNCIq7nceCBeMtjIhPavVXZOyk+jpC38fbXDB5XksJQficsg2dWbJ//b2dnJRyqB5tHJlVtknZoTy9H2ZAjhrEvj3ZdzHk9AP9YklKrfoWkVF7C4C8lCGht3liNm4PNtL5PHchY/LLGgTq6o9L6SsfJJw7H+rEyJ0Psuyu5L+vk4UxteyLPsFSbcl/fXTF387y7KvSfqOpJ6kv5ufRFQk6X+nYTj2v9cnjKjQSZkRRu5PZ1lxD0XfpwFLWraew/3yOPju4mAFqUtktk/7qLTe8Rof+DhgjhRwkTqdTiJQp6en025eDlOZdJCjKBBHTr5jGMgNInR/fz+5RJJSv3mOiRPOCLa7fSAfjjAg1Apq2traKpzuHi0szypTtmUug///pM+fZDHPcinPen50fcre689yF9ENWFzu4C7lWYgn8m/eN25QI1/hcu4LI91NiXJEtK1Mzr18kqjK3zzjq5894/pfkfQrJZ//qaTXP+59sbiPVuYWcI0LOAJNR/hEiNbf7wWq+SBVKpXE2ke/s0xhPMk3jkoj+t9udcnRYJFdp9MpvI+24uKgAJjYjhiib82mxt1uN1kW+iASlNF1cMUN+QkBOjk5mc588WMayAfxvo9WPbqMZZPP6+N9XDb5ozsYxyL+70o9yp73eRxb/o+ItMztKFstG3faelJOR1m0Jv7GMPh7/DsnRVEa1MuziMsMqpdzkzkqPb7IxzU5Ew8YyL6hnNsJ/ALGeyfH57vgxhT3H6SuPLPM/46WrNfrpQk5Pz+fzppl6zlPbmNxEwrSkYUX5yA8suLJYAhrTO92100aRgs4sYws0Hq9nta47O7uand3V9vb22mfkLL+OWviO8Jx0ttXFFPv2J9l/X/WBCgbz7MQiPeFy0dshxOSUWacOyprvyt8kJmjvDL3OLohfOb3u6xEHgOyPD4/rl+J5alXHG6lom8vDTMg4/ZsnM9BbgQIJK5gdf89Fr73LfUiXI9WrgzOlrlCbuHioOd5npbGt1qt1DbcCCaOry05ODjQxsaG2u22BoNBgTStVCoJGUgqIDD60P93lOGKGVeI8CoogyMPOXZga2sr7ZrufVbWH1HIPTTuERYUFoojIrSy6Iq/o8y1KVPmTypRcZSFK6OSxSXh+c4bldWHtnC9y32ZEuc3CskRiyt5ZAE0wpyJpDTv/Tgj+dQrDgodg2JwX95PIkeY2PBlYmIiZSlGEskHwgWW4kRWmSWmlCkSF8pIirryAUHw41aK+pCWTfsQAj+Nq1KpaH9/X1tbWxoMBmnRHO8bHx9Pp8B5+7DovN+VUczR4PxWTiPz09bYvtDPdCnLQ4jKg/rFviuLKJRZ3rJ7nsRD+Jg96fMnocOz2oN8ZlmWOCffNd2NhSu9aIC8vf6uiNyi8ooRwBhUYK6gMOK2DLH9n4rj+HEXn5SEiDw6wu7e7CCNguj1esmH9xWYTCae7Z3vLowz2xE2lsFDSiSoXBnFLMvIeXib+/2TjYYrlUpKzIIroC2kbvuaDSYr9XeoX6kMd/Wi7mw70O/3C0k/HgUAsTSbzXRQc9wQmbNqSVLz/uXv2MboTpTxDBQff590HtXhOre67j6UuUJPUgRet5gXw3i6YXHjxjv8WEd/Xsy18BIRRSwxMhLdCr5zuQBt+xaRtCv2vz/7rPLUKw6pfL/IwWCQVo860vBcf9yYfr+fiEYUx1luBe9zv7/Mny1TJF5cYGMbvC2OGPgfhATU5/iCer2ubrebBIsohjQ8Q2VsbCwhCBe8Xq+XVrqyL6kvk6d+rmAJB7KGZnp6Oh3og8LgwOydnZ3kK7uycKRH2yOyc4gelTrfx3Ub0XXxw5yYHLhJfOdj5m6cj3ssHonw7f5QYA77ndQkGsbYYABRNj75KZ4VzXvKCFmf2E7Get+6sfIfX7fkc4E+pz7nfs9RBij6c5xX4SeixbAWg4Xy6Pf7hUOOKG5lXWn4hPL6UKJVKoPY1L9MATF4UbDdH61Wq5qbm9P8/HzKvDw4OFC9Xtfs7KyazaYkJTeFncjL6gC64L202bkMb6cjF/ehUWqQoCju6AJSyvra0VZUGK7UHDV4VIAfXyXsp8o7EQ4qc5TokzbyLD7OZZDf70FxsGDQrbtn1koqpJF7vzLWHtFCPsqUGe93NB5dDtCmJ03GqKDXJcuyAuKk788q50JxEB5yuIricPdEKuZouCCgfHhWGRyECHVOw78r88/j/z4wTmi5wPpkwaITkXD4OzIyooWFBS0tLWlycjKFZUEdhEFpD7zOo0ePCocqxb48ODgoLLWP/e3wm8mxt7eXkFCenxxhyRELPulcEHleRHdx0jhCgcxjsjMO7pLE8GL8nAOuqJfDdurhiilySj52UvFsmPg5SoVzh5mwKBTPK/KIhcsr8hkJeO8/H6eo4Bkn2sf4+WrjiCyi8vLlC7TzSeVcKA6yG72T0OgIW/QHo0vh7gQCFwXetXxcNu5Ixksc5I/z5d3Ce4Ynk5JNeev1uqanp3XhwgVduHAhRURAUCRUSSeCOD09rYWFhYQCgM5MKNqF6wMK8knuHIm7VVgrrCqKBD4joggXQP+Md7jS9LwC/ieM7v36pFCsNLTmZYQivyMqjeMWXbw4aWMkJCodV6xsb+BIkIgYHJFzaG6sHIX6+1yeUYhlaNhdIjeiZcUVaVSY5xpxDAYnqykjrPVogBcf+Ag93b9FMH1ixOiKf18GsaOV9fchBJ4/AWzl+e7T8n4Q0eTkpGZnZzU1NaUsywqp4e6Lsm4FYZ2fn08ntEGm+vvK0BjWyQWRfT+iS4EVZfk7z3aB82eXKU2UAG5GVB7wUbFvHQ34WLjFjRbTFYRHobxe3MOzfVJGdzW6BWWIjTbQNqIZIACXFUd3rhDcuEVXz2W8zH2KCi0aL/8/cmEosb8Urkq3201/RwGNgnIWZPb70Oi+KY67CT5QbiHjc13D+yTya3gWpFRM3JKUrHmen+xoPjs7q6tXr2p+fl6S0tGOMWHL/6c0m01duHAhhUOdQad//FxZd0l4P1sI4s5EATorPO0uYxwnvsfi1uv1NLF8MkQS0629o7WzoLv77f6do0qXk6jgytwnlEh8L8V5Ce6hHrVaTVNTU8mlhg8ibOvPdQ6Mujjn5iuT2Xc2LkEoc0v8PdFt5Jo4bh+X8PjUKw6ssE9ItHPcs1Ea7sAVB5n/nbTy4xXj6to4eD4YXiI8d2GP/jKREX8vA3R4eKharabZ2Vldv35dzz33nBqNRlp05Nf5wdKEIUFfIyMjajabmpub097enra2tgp7inJeiqTCRj55PuSPpOLBUhGyRyscrV9EAU4w+n6jbuki5Ga8/D3+GXX0NRdlBsVlA+OA7MSQqPNQ8TnuxkV042FPfvsZOIxJtVpNeS4coXDWhGY8XEnTFnfXz+IxIrcTjW58b0QyZ8k75alXHO5/SY+HolywozvjGtxhOJBbUrL+wMJombjelUccYOrJ/y6IXF+tVtOkYVJyPVGAsbExTU9Pa2ZmRpOTkxoMBukMWQQdYel2uwk5IRyuqMicbbfbaQdzwqmVSqXAgYyPjxdYfd8MyM+59QnjxCXt9/4h1EefEtJ1pRGjDu5GeOo1dXEl4MQk7y+D9bgF/h0K0lFSDON7f/pYRbnw8Y2TlMntyIN3tdvttCLalwS42+ZoL8o6/Ro5m8jFuWKIrntUNi6/5z6Po1qtphPbs2y4B4VUtGwRFXjIrsylyfOir+3CdZar4hMlWjWHd+7DelTAswg9Y5SBpV3dblfr6+vKsqwwiRlQSYmp5xnOCXBUIihHkiYnJ9VqtTQ1NVWwUNVqNb2XvAxHL+yZIQ2Vg6McHwcUDPd5rsTo6KimpqZSRquTld5HkROhOMlJXfwZEJOEQmNkzCe4NDwQCRnBr0cZuRIpkwsUbZQHRzPUB1QwOjqqer2e6u8p+Y5yfBGan53jsubudrwXZOrL471t/PZ7WRULlzY2NvbE9SrZk+DI01CyLGtLeu/HXY8nlHlJ6z/uSpxRnua6Sc/q92nLD7t+V/M8Xyj74qlHHJLey/P8J37clTirZFn2p09r/Z7muknP6vdpy4+zfh9/ZNOz8qw8K89KKM8Ux7PyrDwr33c5D4rjqz/uCnxMeZrr9zTXTXpWv09bfmz1e+rJ0WflWXlWnr5yHhDHs/KsPCtPWXmmOJ6VZ+VZ+b7LU6s4siz7q1mWvZdl2QfZycHWP446rGRZ9v/NsuydLMu+nWXZ3zv9fDbLsv8hy7L3T3/P2D2/fFrn97Is+5/8COpYzbLs32RZ9s+fwrq1siz7J1mWvXvah198yur3H52O69tZlv23WZaN/zjrl2XZf5Vl2WqWZW/bZ993fbIs+3yWZX9++t3/NXtSCugPWmLq6dPwI6kq6aak65JGJX1T0qs/hnpclPTW6d/Tkr4r6VVJ/2dJXzn9/CuS/k+nf796WtcxSc+dtqH6Q67jfyzpNyT989P/n6a6/bqkf//071FJraelfjo5u/hDSROn/39N0t/5cdZP0r8l6S1Jb9tn33d9JP2xpC9KynRyftH/9C+8/36YgvMpOvCLkn7b/v9lSb/8FNTrtyT9OzrJZL14+tlFnSSpPVZPSb8t6Ys/xPpclvQ7kv5Hpjielro1TidmFj5/Wup3SdIdSbM6SYT855L+xz/u+km6FhTH91Wf02vetc//pqT/x190PZ9WV4VBpXzi0+1/WCXLsmuSPqeTIyyX8jx/IEmnvxdPL/tR1/s/l/SfSPK13k9L3a5LWpP0X5+6Uv9llmWTT0v98jy/J+k/08lJhA8k7eR5/i+flvpZ+X7rc+n07x9qPZ9WxVHmk/3Y4sZZlk1J+u8k/Yd5nu8+6dKSz34o9c6y7K9JWs3z/Buf9JaSz36YfVrTCez+L/I8/5ykrk6g9lnlR1q/U67g53QC85clTWZZ9reedEvJZz/OXIaz6vMjqefTqjjOOvX+R16yLBvRidL4R3me/9PTjx9lWXbx9PuLklZPP/9R1vtLkv7dLPv/t3fGLA0DYRh+vkXBTV0d7FBcHRyKOIh16i/oIHbwV0gn/0AnVycFHUSkP8BddBARqkhRsIPg6Njhc7gLFsHhJLE3vA+EXBKOPJfAR+5NIPYKnAFbZnaSiVtxvpG7X8ftc0IhycVvG3hx9w93HwMXwHpGfgWpPqPYrtQz18JxA9TNrGZmM0Ab6P+3REyjj4CBu/cmDvWBTmx3CNlHsb9tZrNmVgPqhKCqdNx9392X3H2ZcH2u3H0nB7fo9w68mdlK3NUk/Iw8Cz/CFKVhZnPxPjeBQUZ+BUk+cTrzaWaNOK7diT7lUVX4VEJI1CK8xRgC3Sk5bBAe8+6Bu7i0gEVCKPkc1wsTfbrR+YkK0uxfPDf5DkezcQNWgdt4/S6B+cz8DoBH4AE4JryhmJofcErIW8aEJ4e9v/gAa3FMQ+CQHwF1GYs+ORdCJJPrVEUIkTEqHEKIZFQ4hBDJqHAIIZJR4RBCJKPCIYRIRoVDCJHMF/JkFdePglm6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# apply fft and retain low frequency component only\n",
    "imghat=np.fft.fft2(img0)\n",
    "M=50 # M lowest frequencies only\n",
    "iM=imghat\n",
    "iM[M:-M,:]=0 # truncate rows\n",
    "iM[:,M:-M]=0 # truncate columns\n",
    "img1=np.fft.ifft2(iM)\n",
    "plt.imshow(np.real(img1),cmap='gray')\n",
    "print('the image compression is '+str(100-4*M**2/(N[0]*N[1])*100)+' percent')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}