Hierachial clustering .ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b3c2affd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ef5659b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5139c54b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "447d9b32",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "ed02802b",
   "metadata": {},
   "outputs": [],
   "source": [
    "customer_data = pd.read_csv(\"shopping-data.csv\")  #reading the csv file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "567e4ca8",
   "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>CustomerID</th>\n",
       "      <th>Genre</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Male</td>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Male</td>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Female</td>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Female</td>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Female</td>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   CustomerID   Genre  Age  Annual Income (k$)  Spending Score (1-100)\n",
       "0           1    Male   19                  15                      39\n",
       "1           2    Male   21                  15                      81\n",
       "2           3  Female   20                  16                       6\n",
       "3           4  Female   23                  16                      77\n",
       "4           5  Female   31                  17                      40"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customer_data.head() #visualising the datastructure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b4788742",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QJO3atUu33nqrjh07ppycnPDcRx55RIcPH9aWLVtarOPz+bRo0aIW42VlZUpLS+tMaQAAwLKGhgYVFxerrq5OGRkZ7c7t9J2PGTNm6L333tPOnTtb7HO5XBHbxpgWY83mzZunkpKS8HYgEFBubq6Kioq+svj2hEIh+f1+FRYWyu12d3qdS8FQX8vQdqlxkoyeLmjSwr1JCja59L7vzu4uqUdrPr+b+434aj6/E+16kgjXjos1Xzt60jU8EcSi382vXHREp8LHzJkztXHjRm3fvl0DBw4Mj3s8HklSbW2tvF5vePz48ePKzs5udS3HceQ4Totxt9sdkxMuVut0p2Bj4jy5BJtcCja6Er7niaK537Aj0a4niXhuXNzfROt5outKv6M5Lqp3uxhjNGPGDK1fv15vvvmm8vPzI/bn5+fL4/HI7/eHx86fP6+KigqNGjUqmocCAAA9VFR3PqZPn66ysjL99a9/VXp6umprayVJ/fr1U2pqqlwul2bPnq0lS5Zo8ODBGjx4sJYsWaK0tDQVFxfH5T8AAAAklqjCR2lpqSRpzJgxEeOrV6/W1KlTJUlz5szRuXPn9Nhjj+nUqVMaMWKEtm7dqvT09JgUDAAAEltU4aMjb4xxuVzy+Xzy+XydrQkAAPRgfLcLAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwCrCBwAAsIrwAQAArErp7gKAS8WVc1/r7hI6zEk2Wn5zd1cBAJ3DnQ8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVV+7DxlLpA+SAgBc+hLxeeXQsnu69fG58wEAAKwifAAAAKsIHwAAwCrCBwAAsCrq8LF9+3aNHz9eOTk5crlcevXVVyP2T506VS6XK+LnlltuiVW9AAAgwUUdPs6ePasbbrhBq1atanPOXXfdpZqamvDPpk2bulQkAADoOaJ+q+24ceM0bty4duc4jiOPx9PpogAAQM8Vl7/52LZtm7KysjRkyBD94he/0PHjx+PxMAAAIAHF/EPGxo0bp/vvv195eXmqrq7WwoULdccdd6iyslKO47SYHwwGFQwGw9uBQECSFAqFFAqFOl1H87EXr+Ekm06vibY5SSbi36787rpLIp0bF/cb8ZWo53UindPNLr52J0LPE7nPF2/H4nm3I1zGmE53zeVyacOGDZo4cWKbc2pqapSXl6fy8nJNmjSpxX6fz6dFixa1GC8rK1NaWlpnSwMAABY1NDSouLhYdXV1ysjIaHdu3D9e3ev1Ki8vTwcPHmx1/7x581RSUhLeDgQCys3NVVFR0VcW355QKCS/36/CwkK53e7w+FDflk6vibY5SUZPFzRp4d4kBZtcet93Z3eXFLVEOjcu7jfiq7nfF19PLnWJdE43a752tHUNvxQlcp+bxaLfza9cdETcw8fJkyd19OhReb3eVvc7jtPqyzFutzsmJ9zF6wQbuVDHU7DJpWCj65K/WLQmEc+N5n7Djlhdl2xJxHPj4v4mQs97Qp+/PN7ZfkdzXNTh48yZM/r444/D29XV1dq/f7/69++v/v37y+fz6b777pPX69WhQ4c0f/58ZWZm6t577432oQAAQA8UdfjYu3evxo4dG95ufslkypQpKi0tVVVVlV566SWdPn1aXq9XY8eO1dq1a5Wenh67qgEAQMKKOnyMGTNG7f2N6pYtiffaFwAAsIfvdgEAAFYRPgAAgFWEDwAAYFXc32oLAEBHXTn3NUn/+9TQ5Tf/7zM0EvGtrGgfdz4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFaldHcBAJAohvq2KNjo6u4ygITHnQ8AAGAV4QMAAFhF+AAAAFYRPgAAgFVRh4/t27dr/PjxysnJkcvl0quvvhqx3xgjn8+nnJwcpaamasyYMTpw4ECs6gUAAAku6vBx9uxZ3XDDDVq1alWr+5cvX64VK1Zo1apV2rNnjzwejwoLC1VfX9/lYgEAQOKL+q2248aN07hx41rdZ4zRypUrtWDBAk2aNEmStGbNGmVnZ6usrEyPPvpo16oFAAAJL6af81FdXa3a2loVFRWFxxzH0ejRo7Vr165Ww0cwGFQwGAxvBwIBSVIoFFIoFOp0Lc3HXryGk2w6vSba5iSZiH+78rvrLol0blzcb8QX/baPnsfXxdfotp4zu7Jme1zGmE7/Zl0ulzZs2KCJEydKknbt2qVbb71Vx44dU05OTnjeI488osOHD2vLli0t1vD5fFq0aFGL8bKyMqWlpXW2NAAAYFFDQ4OKi4tVV1enjIyMdufG5RNOXa7ITwA0xrQYazZv3jyVlJSEtwOBgHJzc1VUVPSVxbcnFArJ7/ersLBQbrc7PD7U1zIAoeucJKOnC5q0cG+Sgk18AmS80W+76Ld99Dy+3vfdGbHd1nNmNJpfueiImIYPj8cjSaqtrZXX6w2PHz9+XNnZ2a0e4ziOHMdpMe52uzvdgPbW4aOR4yvY5KLHFtFvu+i3ffQ8Ptp6fu3Kc280x8X0cz7y8/Pl8Xjk9/vDY+fPn1dFRYVGjRoVy4cCAAAJKuo7H2fOnNHHH38c3q6urtb+/fvVv39/XXHFFZo9e7aWLFmiwYMHa/DgwVqyZInS0tJUXFwc08IBAEBiijp87N27V2PHjg1vN/+9xpQpU/TnP/9Zc+bM0blz5/TYY4/p1KlTGjFihLZu3ar09PTYVQ0AABJW1OFjzJgxau8NMi6XSz6fTz6fryt1AQCAHorvdgEAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFbFPHz4fD65XK6IH4/HE+uHAQAACSolHoted911euONN8LbycnJ8XgYAACQgOISPlJSUrjbAQAAWhWX8HHw4EHl5OTIcRyNGDFCS5Ys0aBBg1qdGwwGFQwGw9uBQECSFAqFFAqFOl1D87EXr+Ekm06vibY5SSbiX8QX/baLfttHz+Pr4ufGtp4zu7Jme1zGmJj+Zl9//XU1NDRoyJAh+uyzz/TMM8/oP//5jw4cOKABAwa0mO/z+bRo0aIW42VlZUpLS4tlaQAAIE4aGhpUXFysuro6ZWRktDs35uHjYmfPntW3vvUtzZkzRyUlJS32t3bnIzc3VydOnPjK4tsTCoXk9/tVWFgot9sdHh/q29LpNdE2J8no6YImLdybpGCTq7vL6fHot1302z56Hl/v++6M2G7rOTMagUBAmZmZHQofcXnZ5cv69Omj66+/XgcPHmx1v+M4chynxbjb7e50A9pbJ9jISRxPwSYXPbaIfttFv+2j5/HR1vNrV557ozku7p/zEQwG9e9//1terzfeDwUAABJAzMPH448/roqKClVXV+vtt9/Wj370IwUCAU2ZMiXWDwUAABJQzF92+eSTT/Tggw/qxIkT+uY3v6lbbrlFu3fvVl5eXqwfCgAAJKCYh4/y8vJYLwkAAHoQvtsFAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgFeEDAABYRfgAAABWET4AAIBVhA8AAGAV4QMAAFhF+AAAAFYRPgAAgFWEDwAAYBXhAwAAWEX4AAAAVhE+AACAVYQPAABgVdzCx3PPPaf8/Hz17t1bw4cP144dO+L1UAAAIIHEJXysXbtWs2fP1oIFC7Rv3z793//9n8aNG6cjR47E4+EAAEACiUv4WLFihX72s5/p5z//ua655hqtXLlSubm5Ki0tjcfDAQCABJIS6wXPnz+vyspKzZ07N2K8qKhIu3btajE/GAwqGAyGt+vq6iRJn3/+uUKhUKfrCIVCamho0MmTJ+V2u8PjKRfOdnpNtC2lyaihoUkpoSQ1Nrm6u5wej37bRb/to+fxdfLkyYjttp4zo1FfXy9JMsZ85dyYh48TJ06osbFR2dnZEePZ2dmqra1tMX/p0qVatGhRi/H8/PxYl4Y4K+7uAr5m6Ldd9Ns+eh4/mf8vfmvX19erX79+7c6Jefho5nJFJlVjTIsxSZo3b55KSkrC201NTfr88881YMCAVud3VCAQUG5uro4ePaqMjIxOr4OOod920W+76Ld99NyuWPTbGKP6+nrl5OR85dyYh4/MzEwlJye3uMtx/PjxFndDJMlxHDmOEzF22WWXxayejIwMTlyL6Ldd9Nsu+m0fPberq/3+qjsezWL+B6e9evXS8OHD5ff7I8b9fr9GjRoV64cDAAAJJi4vu5SUlGjy5MkqKCjQyJEj9fzzz+vIkSOaNm1aPB4OAAAkkLiEjwceeEAnT57UU089pZqaGg0dOlSbNm1SXl5ePB6uVY7j6Mknn2zxkg7ig37bRb/tot/20XO7bPfbZTrynhgAAIAY4btdAACAVYQPAABgFeEDAABYRfgAAABW9djw8dxzzyk/P1+9e/fW8OHDtWPHju4uqUdYunSpbrrpJqWnpysrK0sTJ07Uhx9+GDHHGCOfz6ecnBylpqZqzJgxOnDgQDdV3HMsXbpULpdLs2fPDo/R69g7duyYHnroIQ0YMEBpaWn6zne+o8rKyvB+eh47Fy5c0G9/+1vl5+crNTVVgwYN0lNPPaWmpqbwHPrdedu3b9f48eOVk5Mjl8ulV199NWJ/R3obDAY1c+ZMZWZmqk+fPvrhD3+oTz75pOvFmR6ovLzcuN1u88ILL5gPPvjAzJo1y/Tp08ccPny4u0tLeHfeeadZvXq1ef/9983+/fvNPffcY6644gpz5syZ8Jxly5aZ9PR0s27dOlNVVWUeeOAB4/V6TSAQ6MbKE9s777xjrrzySjNs2DAza9as8Di9jq3PP//c5OXlmalTp5q3337bVFdXmzfeeMN8/PHH4Tn0PHaeeeYZM2DAAPP3v//dVFdXm1deecX07dvXrFy5MjyHfnfepk2bzIIFC8y6deuMJLNhw4aI/R3p7bRp08zll19u/H6/effdd83YsWPNDTfcYC5cuNCl2npk+Lj55pvNtGnTIsauvvpqM3fu3G6qqOc6fvy4kWQqKiqMMcY0NTUZj8djli1bFp7zxRdfmH79+pk//OEP3VVmQquvrzeDBw82fr/fjB49Ohw+6HXsPfHEE+a2225rcz89j6177rnH/PSnP40YmzRpknnooYeMMfQ7li4OHx3p7enTp43b7Tbl5eXhOceOHTNJSUlm8+bNXaqnx73scv78eVVWVqqoqChivKioSLt27eqmqnquuro6SVL//v0lSdXV1aqtrY3ov+M4Gj16NP3vpOnTp+uee+7R97///Yhxeh17GzduVEFBge6//35lZWXpxhtv1AsvvBDeT89j67bbbtM//vEPffTRR5Kkf/3rX9q5c6fuvvtuSfQ7njrS28rKSoVCoYg5OTk5Gjp0aJf7H7dvte0uJ06cUGNjY4svscvOzm7xZXfoGmOMSkpKdNttt2no0KGSFO5xa/0/fPiw9RoTXXl5ud59913t2bOnxT56HXv//e9/VVpaqpKSEs2fP1/vvPOOfvWrX8lxHD388MP0PMaeeOIJ1dXV6eqrr1ZycrIaGxu1ePFiPfjgg5I4x+OpI72tra1Vr1699I1vfKPFnK4+n/a48NHM5XJFbBtjWoyha2bMmKH33ntPO3fubLGP/nfd0aNHNWvWLG3dulW9e/ducx69jp2mpiYVFBRoyZIlkqQbb7xRBw4cUGlpqR5++OHwPHoeG2vXrtXLL7+ssrIyXXfdddq/f79mz56tnJwcTZkyJTyPfsdPZ3obi/73uJddMjMzlZyc3CKVHT9+vEXCQ+fNnDlTGzdu1FtvvaWBAweGxz0ejyTR/xiorKzU8ePHNXz4cKWkpCglJUUVFRX63e9+p5SUlHA/6XXseL1eXXvttRFj11xzjY4cOSKJ8zvWfvOb32ju3Ln68Y9/rOuvv16TJ0/Wr3/9ay1dulQS/Y6njvTW4/Ho/PnzOnXqVJtzOqvHhY9evXpp+PDh8vv9EeN+v1+jRo3qpqp6DmOMZsyYofXr1+vNN99Ufn5+xP78/Hx5PJ6I/p8/f14VFRX0P0rf+973VFVVpf3794d/CgoK9JOf/ET79+/XoEGD6HWM3XrrrS3eOv7RRx+FvxST8zu2GhoalJQU+TSUnJwcfqst/Y6fjvR2+PDhcrvdEXNqamr0/vvvd73/Xfpz1UtU81ttX3zxRfPBBx+Y2bNnmz59+phDhw51d2kJ75e//KXp16+f2bZtm6mpqQn/NDQ0hOcsW7bM9OvXz6xfv95UVVWZBx98kLfGxciX3+1iDL2OtXfeecekpKSYxYsXm4MHD5q//OUvJi0tzbz88svhOfQ8dqZMmWIuv/zy8Ftt169fbzIzM82cOXPCc+h359XX15t9+/aZffv2GUlmxYoVZt++feGPnehIb6dNm2YGDhxo3njjDfPuu++aO+64g7fatuf3v/+9ycvLM7169TLf/e53w28FRddIavVn9erV4TlNTU3mySefNB6PxziOY26//XZTVVXVfUX3IBeHD3ode3/729/M0KFDjeM45uqrrzbPP/98xH56HjuBQMDMmjXLXHHFFaZ3795m0KBBZsGCBSYYDIbn0O/Oe+utt1q9Xk+ZMsUY07Henjt3zsyYMcP079/fpKammh/84AfmyJEjXa7NZYwxXbt3AgAA0HE97m8+AADApY3wAQAArCJ8AAAAqwgfAADAKsIHAACwivABAACsInwAAACrCB8AAMAqwgcAALCK8AEAAKwifAAAAKsIHwAAwKr/D3iUnUyuh7WTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "customer_data['Spending Score (1-100)'].hist()  #high concentrated data is on spending score of 40 -60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "8f347f96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "customer_data['Annual Income (k$)'].hist()   # most customers annual income is 50$-60$ per annum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "677a0e1a",
   "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>CustomerID</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>200.000000</td>\n",
       "      <td>200.000000</td>\n",
       "      <td>200.000000</td>\n",
       "      <td>200.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>100.500000</td>\n",
       "      <td>38.850000</td>\n",
       "      <td>60.560000</td>\n",
       "      <td>50.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>57.879185</td>\n",
       "      <td>13.969007</td>\n",
       "      <td>26.264721</td>\n",
       "      <td>25.823522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>50.750000</td>\n",
       "      <td>28.750000</td>\n",
       "      <td>41.500000</td>\n",
       "      <td>34.750000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>100.500000</td>\n",
       "      <td>36.000000</td>\n",
       "      <td>61.500000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>150.250000</td>\n",
       "      <td>49.000000</td>\n",
       "      <td>78.000000</td>\n",
       "      <td>73.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>200.000000</td>\n",
       "      <td>70.000000</td>\n",
       "      <td>137.000000</td>\n",
       "      <td>99.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       CustomerID         Age  Annual Income (k$)  Spending Score (1-100)\n",
       "count  200.000000  200.000000          200.000000              200.000000\n",
       "mean   100.500000   38.850000           60.560000               50.200000\n",
       "std     57.879185   13.969007           26.264721               25.823522\n",
       "min      1.000000   18.000000           15.000000                1.000000\n",
       "25%     50.750000   28.750000           41.500000               34.750000\n",
       "50%    100.500000   36.000000           61.500000               50.000000\n",
       "75%    150.250000   49.000000           78.000000               73.000000\n",
       "max    200.000000   70.000000          137.000000               99.000000"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customer_data.describe() #std is high for Annual score and spending score , high variability in the data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "aea6d9fc",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method DataFrame.info of      CustomerID   Genre  Age  Annual Income (k$)  Spending Score (1-100)\n",
       "0             1    Male   19                  15                      39\n",
       "1             2    Male   21                  15                      81\n",
       "2             3  Female   20                  16                       6\n",
       "3             4  Female   23                  16                      77\n",
       "4             5  Female   31                  17                      40\n",
       "..          ...     ...  ...                 ...                     ...\n",
       "195         196  Female   35                 120                      79\n",
       "196         197  Female   45                 126                      28\n",
       "197         198    Male   32                 126                      74\n",
       "198         199    Male   32                 137                      18\n",
       "199         200    Male   30                 137                      83\n",
       "\n",
       "[200 rows x 5 columns]>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customer_data.info  #we want to check the generes are balanced"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "19e726f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Female    0.56\n",
       "Male      0.44\n",
       "Name: Genre, dtype: float64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customer_data['Genre'].value_counts(normalize = True) #almost the ratio is balanced no need to collect extra data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e1ffdc2e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      (15, 30]\n",
       "1      (15, 30]\n",
       "2      (15, 30]\n",
       "3      (15, 30]\n",
       "4      (30, 45]\n",
       "         ...   \n",
       "195    (30, 45]\n",
       "196    (30, 45]\n",
       "197    (30, 45]\n",
       "198    (30, 45]\n",
       "199    (15, 30]\n",
       "Name: Age_bins, Length: 200, dtype: category\n",
       "Categories (4, interval[int64, right]): [(15, 30] < (30, 45] < (45, 60] < (60, 75]]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "age_intervals = [15,30,45,60,75]\n",
    "x = customer_data['Age']\n",
    "customer_data['Age_bins']  = pd.cut(x = x, bins = age_intervals)\n",
    "\n",
    "customer_data['Age_bins']  #creating an interval for age groups"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "382002c6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Age_bins\n",
       "(15, 30]    62\n",
       "(30, 45]    72\n",
       "(45, 60]    49\n",
       "(60, 75]    17\n",
       "Name: Age_bins, dtype: int64"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customer_data.groupby('Age_bins')['Age_bins'].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "c3f801f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CustomerID</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "      <th>Genre_Female</th>\n",
       "      <th>Genre_Male</th>\n",
       "      <th>Age bins_(15, 30]</th>\n",
       "      <th>Age bins_(30, 45]</th>\n",
       "      <th>Age bins_(45, 60]</th>\n",
       "      <th>Age bins_(60, 75]</th>\n",
       "      <th>Age_bins_(15, 30]</th>\n",
       "      <th>Age_bins_(30, 45]</th>\n",
       "      <th>Age_bins_(45, 60]</th>\n",
       "      <th>Age_bins_(60, 75]</th>\n",
       "    </tr>\n",
       "  </thead>\n",
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       "      <th>197</th>\n",
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       "      <td>126</td>\n",
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       "      <th>198</th>\n",
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       "      <td>0</td>\n",
       "      <td>1</td>\n",
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       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>200</td>\n",
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       "      <td>0</td>\n",
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       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>200 rows × 14 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     CustomerID  Age  Annual Income (k$)  Spending Score (1-100)  \\\n",
       "0             1   19                  15                      39   \n",
       "1             2   21                  15                      81   \n",
       "2             3   20                  16                       6   \n",
       "3             4   23                  16                      77   \n",
       "4             5   31                  17                      40   \n",
       "..          ...  ...                 ...                     ...   \n",
       "195         196   35                 120                      79   \n",
       "196         197   45                 126                      28   \n",
       "197         198   32                 126                      74   \n",
       "198         199   32                 137                      18   \n",
       "199         200   30                 137                      83   \n",
       "\n",
       "     Genre_Female  Genre_Male  Age bins_(15, 30]  Age bins_(30, 45]  \\\n",
       "0               0           1                  1                  0   \n",
       "1               0           1                  1                  0   \n",
       "2               1           0                  1                  0   \n",
       "3               1           0                  1                  0   \n",
       "4               1           0                  0                  1   \n",
       "..            ...         ...                ...                ...   \n",
       "195             1           0                  0                  1   \n",
       "196             1           0                  0                  1   \n",
       "197             0           1                  0                  1   \n",
       "198             0           1                  0                  1   \n",
       "199             0           1                  1                  0   \n",
       "\n",
       "     Age bins_(45, 60]  Age bins_(60, 75]  Age_bins_(15, 30]  \\\n",
       "0                    0                  0                  1   \n",
       "1                    0                  0                  1   \n",
       "2                    0                  0                  1   \n",
       "3                    0                  0                  1   \n",
       "4                    0                  0                  0   \n",
       "..                 ...                ...                ...   \n",
       "195                  0                  0                  0   \n",
       "196                  0                  0                  0   \n",
       "197                  0                  0                  0   \n",
       "198                  0                  0                  0   \n",
       "199                  0                  0                  1   \n",
       "\n",
       "     Age_bins_(30, 45]  Age_bins_(45, 60]  Age_bins_(60, 75]  \n",
       "0                    0                  0                  0  \n",
       "1                    0                  0                  0  \n",
       "2                    0                  0                  0  \n",
       "3                    0                  0                  0  \n",
       "4                    1                  0                  0  \n",
       "..                 ...                ...                ...  \n",
       "195                  1                  0                  0  \n",
       "196                  1                  0                  0  \n",
       "197                  1                  0                  0  \n",
       "198                  1                  0                  0  \n",
       "199                  0                  0                  0  \n",
       "\n",
       "[200 rows x 14 columns]"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The _oh means one-hot\n",
    "customer_data_oh = pd.get_dummies(customer_data)\n",
    "# Display the one-hot encoded dataframe\n",
    "customer_data_oh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "0384c7fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fe4087e00a0>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Wai1PNppKDYpZJlBTpe4imwl9wRBWvLEXzQc68dKcSQkKNkMyhg41GN1JySYIgpCIaKtsV9+QV5lRUOc31vBW8fy03ZWUUsq3eUinlRhb6BiDWKGklDdATRsHgsgV4teiArMRS1/ZHZN/He+9js/Dbj/hxbQzR6AiS3Jecxm29Z+RK+vfa8W7S6ZiTFkB7zmkWMtTkYNqUMwyRSbbavIRb5QJDPC3FevqCwLf9AoaTNRgdCclmyAIQkIiHmVnL258/sPI61xtuS6qLcXDM+tw1dpm1vOxKaV8m4d8kyFlL7JUQklJb4DUG4dsrzJLEOnAVA1vbj21Zry+sAHNrZ2498qzAJD3Otdw+4K874td/9NZy1ONplKDYpZJ1FA0MN4oYzbqeY/v8ffjxuc/FDSYqMHoTko2QRBEGnApYfHCOjpkbmFcyNxXXX2Rgi5sRG9KhDYPD84Yl7IXWSqhpLQ3QKqNQy5UmSUIIbjWOLc3mKBgA0NVwxkaHHbyXucQR1w++Pv5PZHJrP+pruWpRlOpQTFTAiWNyfFG+ZYOF2fUX4PDjpYOFwBxjgOlvfWkZBMEQaSIkBIWL6y9wRB2d7hw8wVVMe0xCnr5Lf/RmxKhzYPLl54XWQqhpGVvQHRF3Efe2Mvaci2bqswSBB9snmpmjesLDCQo2MCpCuKMB3v9+60R73V5oQVmox4VhRbUnVaE8kJLxq6FkBfGADxhVDFvalQm1v90oqmUVswyjdLG5HijPFfUX3QbNwYx6WdKeutJySYIgkgBMeFobMK6wGJEX2AALe3dEYtxMkqp0OYh32TgfV+MFyFdoaRVb0D0ZuOlOZMEW66p9ToIQgq4PNUfHOjE0ld3Y/GltRyf5PZgA4CzJ4BzKgtJwc4yGAPwrsPdrEpSk2OoNVMm1s10o6nUEEadCdTQskwo6i/PqIfH15/Qxo1BzcXoSMkmCIJIAbHhaNHC+ojLh3v+97MEi/FjN5wrWikV2jzkm4yq8CLL7Q2QOrwt2eIrahbsBCEFzp4Aq6caAJoPdOL+6Wezvkce7NyEycWOVpKi0wOG55vwyJtf4MlZEzKuuEWj9miqTKKGlmVFNhNWXVuHn7y2J9LizRsM4Z/t3bjx/NMxMBjGrF9+yPl5NRejIyWbIAgiBZINR+OzGC89aTEWo5TybR6aaksRHBzEwzPr8NAfP1fciyyXN0CO8LZki6+oWbAThBS4BNoOWowG1rDg57cdwoU1wzHj3JHkwc4R4nOx2bpUvDRnEt7Z58yY4qbFaKpMo4aWZW5vEA+/+QUmVpVgXlzr0Efe/AKrrhvPu+cJhcM4KKLauBKQkk0QBJECyYajibEYjykrEBQSXJuHRocdc6aMxsz1OwAAD84Yh+VXj4UvGMqqnDK5wtuSKb5CnhAi2zni8kVyq7nQ6YA7LhkKGY+eJ/VVxdDpdLjk7DL0+gciRkOqIJ4dsLZsE8jFji5YlakooFzLrU4FpYuUAkN7o637nNi6z8n6/rKrBnj3PNc+swPeYEiVRUlJySYIgkgBIY9yvHVVSotx9ObB7euHvz+EnYe6YvKVlv1hD5pqS7E+ywp0yRXeJrb4CnlCiGyHycVecc05vEoTAFQPt8V4rM1GPZw9AVSV2FBeaEF5YaZHT8gJWxTR5lsnx+Ri66GLSTOIL1iVySigXMmtTpVUw+qlTNcS2ht5fP04Y0SB4J5HjUVJSckmCIJIASGPcrx1VWqLMbN5OHC8B9c/t5P1mOYDnXD2BAQFjpZ6QcsV3pZMyzW13huCkAImFzusC8f0t2ZocNixaFotdAAqi624qq4ixltIHuvshCuKiOlowayZ62bX44cXj4Hb1x8J+2WUIYoCUhephNVLna4ldm/E7HkOOns59zxqK0pKSjZBEESKiPEoM9bVJ2ZNELQYp6LsCrXscgu8r3T7jmSRK7yNbbPB1XKNILIZZk3xB0PQ65DQ3/q4xw+9DjDodADIW5grcEURRdev8AZDuGNLC9bOrsdvPzpMUUAKkcxeIpmwejnStZL1pqshj1wspGQTBEGkgVjral+APa+I2Xh4gyHcl4KyK9Syy8bzvhradySLnFVjKYePIE6tGe9+6cSFNcNZj9HpgCIbFf/LJbiUm/j6FdFRQAsudsCSp0ex1aTq7hLZRCqGc7GGMjnStZL1pqshj1wspGQTBEFIQLJ5RdFKHAAs2tLCWXn8wRnjYNDrWDcS+SYjb95kvol7mVdD+45kkbtqLHnliFyHqRrO9LmOR6fToarERvMkx+BSbpj6FdG52N5gCC3t3Zg4qhiVRRacMaJAsnFoLfoqk8htOJfLi5yMgVvI0F5gMeKgs1cVBhhSsgmCICQg2byiaA46ezmV3eYDneg44cUtmz5h3UhYTQbevEkrjydbjMBUo8eAPM4EIR86HXj7XDvKClCR48pMLsKl3HiDIWz+6DDmNozG3IbRMS2YFm9pweZbJ3OeM1n5osXoq0wit+FcTi+yWAM3n6F91bV1WP7anphK5UoaYEjJJgiCkIB0wpiFlF2mzyzbRqI3MAB//yBr3qS/P4TewADKOM4rJDCtJkOCh10tHgPyOBOE9Bz3+AEgIRebea/AbOQ13BHZC5dy01RbipsmV+OOqFok0XApXql4pLUYfZVJ5M5XljNdKxnYDO0FFmOCgg0oa4DRCx9CEARBCMFsQC6qLY15XUwYs5CyG11YhtlIMLh9/Vi4+VMccftjPnPE7cfCzZ/Cw1P4jBGYbFxUW4pP212cHgO3N8j6Oalwe4M46OxFS3s3Dn7TK/v3EUSuc8Tlw1GXH4MI8x6ny9B4CPXBKDfvLpmK1xdMwbtLpuLJWRPw+4/bWRVsLsVLyCPNtd67ffxyQE1Fr5RA7nzlIpsJq66tQ+PJFn4MjQ47Vl1bl1EltshmwpiyAkysKsGYsgL0+gc4e23H75syBXmyCYIgJCLZMGYmVC4UDqOptpTVQt/gsKOlwxXzWvRGosBshDcYwvr3Wlm/I9/MvczzhV09PLMOV61tZv2c3B4DyrkjCHmJD9MtMBux9JXdWDjNAaOAo5qpKk7kJmxRRCtn1iEwIL5ORioe6SMuH/z9g7xjU1PRKyWQ29Ps9gbx8JtfYGJVCeZFRc61dLjwyJtf4MlZEzLuLWbWsq4+9RlgSMkmCCIrUEvusNgw5mhF0mYyYO3seoTDYWyPy6ue11CDxVtaYj4bvZEwGfS8hc9MBv6AJS7DwFddfayeCQa5BBbl3BGEvBxx+bD0ld2RIlUA8PrCBjS3duLeK8+iquI5SjoyNFkDc7JhzYxcmDCqmFPeUQ9u+QuDdvYGsXWfk9NjnOlw/eh91EtzJvEeq4QBhpRsgiA0j5o9n2wbFwAx441veWLO0yPQP5jQcxtI3Ei4fEHMa6gBkFj4bF5DzcnwunzeMbIZBgoEQqvkEliUc0cQ8uD2BuHy9eOB1/agOU5J8UetMZ91uNirigOoKLTQ/MtCpJChydTJSDasmZELuw53Y+3segCx8q6JenBHkLMwqBQ531I5ROIN8vGt5KJRygBDSjZBEJpGzZ5Pro3L8qvHJoyXCfle/14r3rt7Kix5Bvxy28EEBTt+I1FgzsPsFz/C/MaamMJnTGXXNxY1pjR2pQqcyF24BVBP1ANBZArGe/3jy2oTFGwAsJmHYsTf3+/EbU1n4MXmQxg3sgjlhRYAgCXPgIlVJSiykhc721BChiYrXxi5EG2QjpZ3VcNtqEzCoJ7tMkCuwqDp5nxL6RCJN8gzreSAWAOMVF78VCAlmyAITaNWzyffxmVOt4/3s3w9teOvpbTAhEnVJaw52ekow3KHnXEhd+EWNUc9EIQcHPf4sfSVz9Dc2oWFJ9v9sRHdG/uyseUoL7RElJj2E16MKc3PKkWEGEIJGZqsfImWC2w1SN5dMlX0d5MMSB4x9WOE9htSG3PiDfLxBphhljzY802KtvckJZsgCE2TCc9nKvBtXIRg66nNCLlDnX0xlnc5lWEl+lHL6UFXc9QDQcjBEZcPTk8g4r1mPNbxvL/fydsbu+60U15tQptweW+VkqHJyBep5ALJgOQRUz9GzH5DamMOm0E+2gDz7pKpGFNWIPp8ckBKNkEQmkZuz2eq8G1cWjpcaHLYWcM22TYMQpZ3OZXhTPejltNooNaoB4KQA7c3GKkYHg1b3uLz2w7hwprhmHHuyJje2M6eAM6pLCQFW+PwyRAlZahY+SKVXCAZkBzxRon4+jGWPAOKrKf2G3xh+FIbc9TSs5sPUrIJgtA0al1o+TYuG7a34fUFDVj55l7B3CGxlvf4zQrTZ1qLOWdyGQ3UGvVAEHLg7AlEKoYzMB5rIDZvsb6qGDqdDpecXYZe/0Bk3k2qLtHMukGwIyRDnpg1QZUyNB4p5ALJgORgM0pE14+J9hYLOQOkNuYoldKWDKRkEwShaZReaLkst3zKf31VMf6y9yjqq0oiXqPRdhtOK7YmjDfVfqJazzmTw4Ou1qgHgpADl++UwsB4r5mc66vHV8YUjnL2BFBVYkN5oQXlhQoOmpAcIRnSFxhQvbLCkK5cIBmQHGKNEmKcAak6RPi840qktCUDKdkEQWgepRZaIWWWbeMS3fs6unL4//24iXW8qfYTVWPOmdIVXdUa9UAQcmAznaoYHu29ZnKuq+35KDAbMTzfRB7rLGaojSM3Lm8/zqsWV2gzpe9XUSVvkgHJIdYoIcYZMKasIGljjhiHQaZT2pKBlGyCILKCTC+0YpTZaOX/hDeI4MAgPmTpfd3gsMOg17F+T6r9RNn44EAnjnr8AJBxoaQG77rSUQ8EkUksRkNMxfB473X7CS+mnTkCFRqJbiFSw2bi3+ozxhg5ZKga1v1oSAYkh5BRosBixEFnL7r6+A05jDMgGYeImh0GYiElmyAIIgXEhnEz/3Tf9OJQZx9a2rsTFOx5DTWcSnaq/US5OPRNH1b/eZ9kmxwxXgo1CUu1h5cRhFTodOCtGO4oKyAFOwfQ63Wsxe4AfgNvuohZ9wFk3MtNMkA8fEaJVdfWYflre7B1nxMvzZnEe55oZ4BYY042FKkjJZsgCCIFkg3jtuebsOatfTF52GajHi0dLvz+43Y8OWsC63nS6SfKhtmol0y5FeulUJuwVHN4GUFIiV6HGA82MNQ3u8BshNXE3s6LyC6Meh3mNdQAiC12J2TgTRehdf+Yx49Vf96niJebZIB42IwSBRZjRMEGhjqmcBlyUg3Dz4YidaRkEwRBpECyYdxFNhNWzqzD/a/ujvRxBMSFqUnVT7TBYUdLhwvA0Cbn3y4fOvuCKXkPkvFOZ4OwJAiC0CKpGnjTRWjd/7rbp4roJkKYeKPEQWdvRMEGhjqmrD0ZmSDUMUUsBWZ+FVULRer0Sn75Bx98gO9+97sYOXIkdDodXn/99Zj3586dC51OF/PvwgsvjDkmEAjgjjvuQGlpKfLz83HNNdfg66+/zuBVEASRizDKLBtclltGWX53yVS8vmAK3l0yFetm16NShNW+yGbCmLICTKwqwZiyAk6hxXi+48fGeC02bG+LvPZVlxeX/nwb7tjSgiMun+AYgFOtwf7tStwgMTDeaQaq6EoQBKEMjIF3d4cLt2z6BAt++ylu2fQJdne48PDMOtmUWaF1n4t4+UGoj3gDCtM/u76qBC/NmYT/d/u3k9rfxHPE5cMnh7vR4LCzvq+VInWKerL7+vowYcIEzJs3DzfccAPrMVdeeSVefvnlyN8mU+xNvfPOO/HGG2/gd7/7Hex2O+6++27MmDEDu3btgsFAoVAEQchDqgVUUg1TS6ZCK6PMH3X7caizL+K1iC+4ZjYO2VnFeg+iw8Ofvfk83vFGe6epoitBZB6hIGB5goQJNaJEHjLfut8UFVXFBkU3qRs2AwrTPxtATP/sZGGi5HYd7mb1jjfVluLhmXUpnTvTKKpkT58+HdOnT+c9xmw2o6KigvU9t9uNl156Cb/+9a9x2WWXAQB+85vfYNSoUdi6dSu+853vSD5mgiAIhkxtXI64fFj6ym40t4rPXWPGsPqtfYKh44BwbnR8eDijoHMRX+iEKroSRGYhJZuIJtN5yFzrfoPDjge/ew6ufWYH52dNRj0OftOraLsvghs5DefRufyLt7RgfmNNTJrDiGFmXLW2GZOqSxSrUi8W1edk/+1vf0NZWRmKi4sxdepU/OxnP0NZWRkAYNeuXejv78cVV1wROX7kyJGoq6vDzp07SckmCEJ2pNy4sHmrASQo2MCQUrz01d1Yz+N95tvkML26o+HzHsQXsUm20AlVdCWIzBIYHEzrfYJIl5HFVjwysw6t3/TG5IL/5fOjqK8q5qx4/tbnx7D+vVZF230RiTB7lN5APx6eWYeH/vi55Ibz6FD0aO84w7M3nwdvMKSJ/H1VK9nTp0/HrFmzUF1djba2Njz44IO45JJLsGvXLpjNZhw7dgwmkwklJSUxnysvL8exY8c4zxsIBBAIBCJ/ezwe2a6BIAhx5Pq85KrUvfzqsQkKNkPzgU44ewKii6Z1e4Nw+/pZQ8cB/tzo+BysVAqdxBskmPzuTLZvIZIj1+ellhkcDMMbZFekvcEQCq2q3gISPGhpXp7wBnHLpk9iXrOZDKzyI94ALLcilUwaVq4Tv0exmQx4cMY4LL96LHzBkGSGczEdUhjU3spL1Svs9773vcj/19XVYdKkSaiursaf//xnXH/99ZyfC4fD0Om4A6HWrFmDlStXSjpWgiDSI1vmZSpCm69S90Ivf26a2yecu8Yot25vEHdsaUkpxCte8DGFTphQriJrHkpsJtFCVmz7L0JZsmVe5hpubxAmgwG//vtXGDeyCOWFlsh7R9x+bN13HMuvGqfgCIl00NK85MrfZeTHg1ePQ29ggNMALJciRTJIPGx7FG8whGV/2IOLakslNYKI7ZDCIJS/r6QhRdHq4slSWVmJ6upqHDhwAABQUVGBYDCI7u7umOOcTifKy8s5z7Ns2TK43e7Iv46ODlnHTRCEMGqel4zHtaW9Gwe/6YXby1759IjLh0VbWnDpU9tw3bM7RVfu5usnKtTL1pZEr1uuyuNiQrzYqqkzoVybdn6F2rIC3qrn0Qi1/+K6v0TmUfO8JLhx9gQQ1oVxW9MZaGnvjqkq3dLejduaxkCm9shEBlDTvBSSj1ydOLzBEHZ3uFBZZIFBr8Mtmz7B+vdaEyKsAOkLoZEMSg6hnudSVoNPpkMKwB+Bl+qeTCpU7cmOp6urCx0dHaisrAQAnH/++cjLy8M777yDG2+8EQBw9OhRfP7553j88cc5z2M2m2E2mzMyZoIgxKHWeSnW2p1M3+h4hPqJcuU+NzjsyDclt4ynmhstZfEyMQJbreFfuYZa5yXBj8vbD6tJD70OuHp8ZUzhoOMeP/Q6wMAT8UeoG7XMSzHyUYzsKLTwK2lSt3kkGZQcQnsUKY0gbm8Q/v4QHpgxDoPhMPoCAwj0D2Lnoa6EKAe+CLx09mRSoaiS3dvbi9bWUwntbW1t+Oc//4nhw4dj+PDhWLFiBW644QZUVlbiq6++wk9+8hOUlpbiuuuuAwAUFRXhlltuwd133w273Y7hw4fjnnvuwfjx4yPVxgmCIFIlmUU6HaHNl4P0/n4n7rikFkBi7todl9Si2Jb85iPVYm1SFS/LpMAmiFzjiMsHm9mArfuO48Ka4azH6HRAUQprB0EwJCMfhWRHpts8ipVBlLM9hFCetFRGEDajzeVjy/DgjHHY3eFKULD5DPxqMKQoqmR/8sknmDZtWuTvJUuWAADmzJmD5557Dnv27MH//M//wOVyobKyEtOmTcPvf/97DBs2LPKZX/ziFzAajbjxxhvh8/lw6aWXYuPGjdQjmyCItElmkU5HcSywGNHosGM7i7d6d4cL19efjhnnjozxRjl7Ahg93JZxgS9FNfVMCWyCyDWOe/xY+spnWHFNHT7rcOHc04oTjtEBKB9myUllgZCOZJUYPtmR6TaPYmQQ5WyfIhNGEC6jzTv7nACAJ2ZNQK9/IMFIw2UIUYMxX1El++KLL0Y4HOZ8/69//avgOSwWC9atW4d169ZJOTSCIIikFukCM/9yms/zfl9gAHMbahBGord69uRqDIQGcVVdRYwXYFJ1iWY3yZn2WvBBngoiWzji8sHpCaC5tSuSj/1i86GYwmeWPAMmjirh3XsRuUmya6HUSkwm2zwKyaACixH3/O9nioYaq4lMGEH4jDbv7HPi/ukDGFNWEPM6nyFEDcZ8TeVkEwRBZJJkFmmTQc+bO20ycNeZdHmDMZW6o/uJLt7Sgt/cMhk1I2KLimm5/VWmvRZckKeCyBbc3iCWvrIbC6c5AAD+YAh6HXDZ2HKUF1oia8rhrj4Y9TrkmywCZyRyiVTWQjmUGCkipcR+D58M6gsMKB5qrAaiDS9F1jxOb7IUJGu0EUpXeGLWBMWN+aRkEwSRFcjhkUzG4+ryBTGvoQYAe99Pty8IIJ/1e2wmY6RSN/v7sekv2aAcZtJrwYYaiqIQhFQc8/jR3NqJe688CwDw7pdOyscmRJHsWsjI2lA4jKbaUlZlNNMRSanAJ4Na2rt5P5sLdUP49hnxHmUpSNZoI5Su0BcYUNyYT0o2QRCaRy6lMxmPa4E5D7Nf/IjTG/3GokbO79HrdbxecENUr51sUg4z5bVgQw1FUQhCCo57/HB5T236Gxx2PL/tEHs+tk6HqpLM13Ig1Esya2G0rLWZDFg7ux7hcDimnkimI5LSgUsGqSHUWEn49hlLX92NJ2dNiKSgSEWyaWRCnm+Prx9njChQ1JhPSjZBEJpGbqVTrMe1tMCESdUlrN5oIau+Ua/j9YJHK9lqUw61mtOshqIoBJEuTB629WS0y/v7nVg0zYH177di4eZPMb+xBuWFFpiNelQUWlB3WpHkm2NC2withV19QeCbXhSYjTGy1hsMRdKcFlzsgCXPgCJrZpUYuVBT3RAl4NtnNB/oxEFnL0KDYUkj55JNIxNrCFHSmE9KNkEQmiYTSqeYRZpPQDw8sw5fdfWhoC/IqoTmm43Y8tFh1FeVJHjBt3x0GKuvPzdyrJqUQy2Hree6p4LQPtF52DazIcaDHd0bGwCcPQGcU1lICjaRgNBa2OPvx43Pf4jNt05OkLVMmtP691rx7pKpsoQRK4Fa6oYohdA+w+XrlyVyLtqp4fb1w2YyQK/Xwdcfgtsbu5fTgiEkZSW7s7MTX331FXQ6HUaPHg273S7luAiCIEQh1gqfCQ9rvNfbajLg03YXrlrbHOnvyKaE9gUGMHtyNV7e0RbjCWc82X2BgchralEOtR62rgUBTRB8OHsCkTxs8mATqcK3FjY47GjpcAEYUqz4yLboH6XrhiiJ0D7DbNTLFjlXZDOhLxjCijf28hrwtWAISVrJ3rt3L370ox9hx44dMa9PnToVzz33HM466yzJBkcQBCGEWCt8pjysjNfb7Q1i0ZYWXiUUGPLEd/XxVxfffOvkyOfVohyqLWw9WbQgoAmCj2ilh+mJneDB9vhRW1ZACjbBSZHNhFXX1uEnr+2Jya1mjLyLt7QAGFKs+MjG6B8lQ42VpMBi5CxqF214kcOwkowBX+2GkKSU7GPHjmHq1KkYMWIEnnrqKZx99tkIh8P44osv8OKLL6KpqQmff/45ysrK5BovQRBEDGKt8Ol4WFPJOxZSQo95/Fj1531oPtCJl+ZM4q0uHr15UYtyqKaw9VRRu4AmCD5sUXnYnD2xq0pQZM0+5YeQDrc3iIff/AITq0owr6HmZLeLgYiRl4nCaulwcRbo1Er0j1ZriGSSIy4fHvrj55gzZTQQBppbT+0z4g0vchhWkjXgq9kQkpSS/Ytf/ALV1dXYsWMHLJZTVtErr7wSP/rRj9DY2Ihf/OIXWLNmjeQDJQiCYINL6YwXBkBqHtZU846FlNCvu32Rcya7eUlXOZRio6GWsPV0UbOAJggujnv8sBhj87Dje2K3n/BiTGk+Pd8EL529QWzd58TWfU4AwEtzJuGWTZ8kHLdhexvWzq6HXqdLkIdaiP7Rcg2RTBHtRd55sAvrZtfjhxePgdvXHxNd5w2G0FRbilA4jIMSp+NlgwGfISkl+5133sH9998fo2AzWK1W3HvvvXj88cdJySYIIqNEK51dfUOKZ7wVniGZBTqdvGMhJTQaZvMCxFYX59u8pKocSrXRSCVsnbwIBJE+TEXxAquBNw+7tqwAFaQ8EALEKzVcRl9vMITffdyOh2eeg8DAILyBkGaqiWu9hkimiPYie4Mh3LGlBWtn1+O3Hx2OeR4aHXbMmTIa1z6zA95gSFJjRbYY8IEklexDhw7hvPPO43x/0qRJOHToUNqDIgiCSJaI0unsxY3Pf8h5XDILdDp5x3xKaFNtaSSMHYhthTK/oQbDLHmw55sk27wwym0oHMYjb+xFc9zmKZWNRrJh6+RFIIj0ia4objQAeh0S8rCPe/woMBsxzEwNZAhh4pUaLqNvo8OO/7ygClev3R6jWGlBOdV6DZFMEW9wYdubDIQGsfNQV4wTQ0pjhVrqzkhBUitwT08PCgsLOd8fNmwYent70x4UQRBEqki5QKcTtiTU0uuqtc0xx0fnZEvZCiVauX1pzqQEBZshlY2G2LB1LXsRyPtOqInoiuLvfunEhTXDWY/T6YAim3Y8PoRyxMvMaMVq4cUOmPP0CPSzK1ZLX92NB2eMg0GvU/XamE0hyHLC5kWO3pv834+bcOV/NyccA0jbMlUNdWekIGkzZ09PD2u4OAB4PB6Ew+G0B0UQBJEqUi7Q6YYtcSmhADCpukR2S228cst4urhIpd2ZmLB1rXoRyPtOqA22iuLx6ABUFFpUOacI9cEmM73BEHZ3uHDzBVXw9Ydwyc+3sX62+UAnOk54ccumT1S9NmZTCLKcCDkp9Dr+z7sF2ryJJZ26M2oyjCelZIfDYZx55pm87+t0Ar8AQRCEzEhVNVoKrziXEpoJS228civUgkVMu7NUBJgWvQha9r4T2QtVFCfkgE9mtrR3836WMd6qeW0USt8qsFBqBSDspBCS5cz6JNVYkn2O1GYYT+qpev/99+UaB0EQhKRIUTVazrClkcVWPDFrArr7gvD4B1BoNaLEZpK0n63YgjaAuHZnqQowLXoRtOp9J7IbqihOyAWXzBRav6ONt2pdG/m6kMyZMhoPvLYHK2fWqdILn2n4DC49xwd49xAAJK82LhY1GsaTUrKnTp0q1zgIgiAUg887K1cv5UxYXMUWtBHT7iwdAabFQiZa9L4T2c0Rlw86HXgrijuoojghMXzrd7RxlkGJtVFMhBVj2D7o7IWLpSVVYECdXngl4DK4GPU6zGuoAcC+hzjm9mPuxn8o4j1Wo2E8KSXb4/GIOo6vOBpBEISaEKPsSt1LOVMWV6GCNnkGPTwi252lI8C0WMhEi953InthqoqvnHkOb0Vxq4ThmgQB8HuB442zQObXxmQM1r3+Adz0q49Yz6NWL7yasOebsOatfaivKomsP4yxYvNHhzFuZBEAeb3HXAYVNRrGk1Kyi4uLeXOumZzsUCjEeQxBEIRaUCq8KFMWV66CNv9s78bEUcUwDgzilk2fcH4+erOUrgCTKyJALrTofSeyl2MeP5pbOzEI/uKyVBWHkIPo9dvt64e/P5RQbRzI/NqYrAxXoyKWDEoX9SqymbByZh3uf3V3pOI4IC4aTgr4DCpqNIxTTjZBEDmLUuFFmRT00bnfPYEB9A+casUyv7GGM7+qKW6zJIUAkzoiQE606H0nsg+3NwiXrx8u79Ca4A/yOzEMVHyWkIno9fuIy4dfbjuYoGBnem1MVoYnK8eUVmqjUUtRr2iDS1ffkNFcTDRcuggZVJ6YNUF1hvGkc7IHBgbw29/+Ft/5zndQUVEh17gIgiBkRwplNxUhnEmLa3yf7GjPNV+O9sJpjpjz5KJnV2vedyK7OOLyYekru/Hjy2ojYeDUG5tQA2pZG5OV4cnIMTUotcz+IhQO45E39qI5ziCuVFGviMHF2Ysbn/+Q8zgp9zJCBpW+wIDqDONJ16w3Go340Y9+hH379skxHoIgiIyRrrKbqhDOlMIq1Cc7Okd7fkMNbCYjvMEBtHS4MH/jP/DGosaIYMq0Z1ctHgQted+J7IHJwW5u7cTCaQ6YjIipKh6PTqdDVYmNnlUiY6hhbUxWhouVY2qoVB1vII9XsKPHpFQueSaN70IGFY+vH2eMKFCF8YchpcZwkydPRktLC6qrq6UeD0EQRMZIR0CkI4QzpbCK6ZPtDYYiuVXxnu54L0CmvBdcxouHZ9bB7QuiwKJs2B5ByI2zJ4Dm1qHn32Y24P39Tt6q4nWnFUna/o8gtEAqMlyMHBPymjp7ArIagYUM5PEolUueSeO7WIOKGow/DCkp2QsWLMDdd9+Nr7/+Gueffz7y8/Nj3j/33HMlGRxBEIScpCMg0s3nzoTCmmqfbAY2T76cAsztDcLl7ccDr+9hDYtb/voe1FeVYP17rYrkohGE3DARHEwONsNnHS6ce1pxQlVxp8eP2rICUrCJnCRVGS4kx4S8pu0nvDEGaanlkRgDeTT55pTUOUnIlPFdiylrKf0q3/ve9wAAixcvjrym0+moujhBEJojVQEhRT633BbXdPpkZ1poMd7ruVNGc4bF7WjtwvyTPTqVykVLBrWEvBPagMnBbm7txJ8XN0Zef3+/E7c1nYEXmw9h3MhTHmtLngETq0pQZKU8bCJ3kUPJE/KaxiO1PErWQP7J4W7km42KGZ0z4T3WYjHSlJTstrY2qcdBEASRFukoNKkICDW2i4hHqE+2Jc+AfLMBn7bHVgbNtNCKDo2bfUEV77HRYXNq7muqhqI5hHaIzsEGAIvRENlUM3nYl40tR3mhJdKbtv2EF2NK81X5/BNEJpFayePzmrJFfQHi5JHYfYpYA3mTw445Jw3kf6kuUbXRWQrUUnBPLCkp2ZSLTRCEGnB7h1pIhAGs+OPnMR5QuRUaLYQucfXJ3t3hws0XVKHy5L2pKLTggtHDFRNa0aFxQmFx8e+rsa+pGormENoiOgcbAMK6MBadrPC/o7Urkoddbc9HgdmIIlseJlWX0HNEEDLA5TVtqi3FnCmjY6K+onH7YuURo1T3BvpRZDXhwdc/j5nnXPsUPgP5gosdCIXD6B8YxIhhZvznC3+HNxhStdFZStSUcy1EykH8v/71r/HLX/4SbW1t+PDDD1FdXY2nn34aNTU1mDlzppRjJAiCSIDxFE4YVYyW9u6EMCq5FRqthC6JsfwqLbSiQ+OkyBtXGqX6rxPaxRW3OfcHQ9DrEJODbTbqcbirD2NGFMBmNNAzRBAywiY79Trg6nXbE/pBM9hMBhx09iYo1YsucSS1T+EykLe0d2PiqGIs3tKC+qpi1FeVxIxFjUbnXCYlJfu5557DQw89hDvvvBM/+9nPIjnYxcXFePrpp0nJJghCVqI9hXOnjI5Ux45HboVGa6FLYQDQKT2KRKJD49ScNy4WKfL1idzCdrIPNgP1wyYI5Yk3QP/rmAf1VcWcRuBgaBBX/ndzglJdP6o46X0Ks7845vHj624fgCEjNKNgx8tDQJ1G51wmJSV73bp1ePHFF3Httdfi0Ucfjbw+adIk3HPPPZINjiAIgo1oT6FQa4v48C2pUdoLLIQWcoOjQ+Pie3frdMBpxVbF88aTQQv5+oR6OO7xx+RgA6B+2AShMo64fDjRF8S8k8U32YzAJ3qDABKVarEtuNhyts+qKERFoQWdvUGU2EyYcoYdOw91xchDQL1G51wm5cJn9fX1Ca+bzWb09fWlPSiCIAg+oj2FQjm88R6iXEIrucHxoXFM725Gka4stiqeN54MYvL1qfI4AQxt3J2eAAqshpgcbG8whIWbP8UDV49FRaEFvv4QSmwmysMmCAVgZOmEUcX44ogb9VUlMWkcLR0ubP7oMMaNLAKQqFQL7VNMRj2+6uzjzdlm5v0Rlw+/3HYwQcFWq9E5l0lJya6pqcE///nPhAJof/nLXzBu3DhJBkYQBMFFtKdQKIdXr1NhfHSG0FJusFDovdojBqIRytf3BkO4jyW64OGZdXD7giiwkNKdCzAVxRdOc8BoAGsO9nGPH72BAVQWWlBVmq/0kAkiJ2Fk6a7D3Vg7ux4v72iL8VTHF0SLV6qF9ilH3X5s2NEmKmdba2lquUxKSva9996LhQsXwu/3IxwO4+OPP8aWLVuwZs0a/OpXv5J6jARBEDFEewqFcnjDQ5nIOYnWcoO1pEgLwbURAoBFW1pYowuWv74H9VUlES9+dEg/eb6zD6ai+L1XnkU52AShYhhZGp/OxBjDauz5mLH+VEG0eKVaaJ9i0OlYFXCA3SCeTbIym0lJyZ43bx4GBgZw3333wev14qabbsJpp52G//7v/8Z//ud/Sj1GgiCIGOI9hdGtLQx6HbzBED5t78bmjw5j2fSxSg9XMXI1N1gtCinbRuigs5czumBHaxfmn8z3i/Zg9AVDqs+rJ5InuqL4Zx0u9hxsDLXYow01QShHtCxl0pmieWtxI86vLoms0fFKNaOcP3D1WPxk+lh4+0Pw+PojhcyenDWB9/vVZhAnxJFyC6/bbrsNt912Gzo7OzE4OIiysjIpx0UQBMEL4yk86vHD5e1HaDCMDw91YcP2NniDoVMWYn3uhotroZe31Ki90JtQdEF0Lt8HBzrh7Ang4Te/UH1ePZE8TL2I9/c7cVvTGXix+RDGjSxCeaEFAGDJM2BiVQmKrNlpDCMIrcAnSxscdryz7zgWTnMA4TCa45Tq+6efja+7fTAZhnK3V/35Q2yadwFu2fRJ5BxCOdvZahDPdlJWshlKS0ulGAdBEETSMMrFz/+6H2dVFqJ+VDGenDUhUojk9x+3RyzEavFuZhKt9PKWCi0UehOKLojfbLl9/ZrJqyeSg6kozlQSv2xsOcoLLZEQ1PYTXowpzafflyAUhpGl8fIlurXk89sO4Xc/uBBzewKwmYzwBgdOKtX7Evpqm/PE52xnq0E8F0hJye7q6sJDDz2E999/H06nE4ODsVX0Tpw4IcngCIIghCiymbByZh3uf3V3TAhXtCKpdu+mnGipSEq6hhAtFHoT8oi0dLhiXhOqjk9hhNpFpwMWTXNg/futWLj5U8xvrEF5oQVmox4VhRY4ygpQkeXrE0FoBR2Ae79zFuZOGR1TVTy6ldbX3T4s+O2neGnOpBhPNRticraZgphfdfWhoC+YE86BbCIlJfv73/8+Dh48iFtuuQXl5eXQ5XD1XoIglIdPkZTDu6k1r7gWiqRIYQjRQqE3ruiCaI9I9GvWPH4lm8IItYnbO9RPN76iODDUN7vAbIQ1h9sPEoSacHuDuO/V3Zg7ZTSv8sxEIglVE39/vzOm3zYTXv7gjHF4aMY49AVCsJkNaDncjavWNkeU+FxxDmQLKSnZ27dvx/bt2zFhAn+iPkEQRKbgUiSl9m7msldcLqQyhGil0Fu0UairLwirSY89X7tjPCKM0h0MDaKptpT1GaYwQu3i7AlAx5+GCXJfEIQ6YPYRE0YV8yrPTCSSUDVxxpjKVCkfZsmDPd+E0gLTycKtLry5+whnS68nZk1Ar39AM4b+XCUlJfvss8+Gz+eTeiwEQRCSI6V3Uws5v1pEKkOIlgq9RYxCzl58d/12zG+swbrZ9QlhiM/edB7mTBmNcDiM7XFhhNmYV58ruHz9sObxa9kGihIkCFXA7CO4lOem2lIsnObA/I3/ABDb6mvhxQ6YjHq4o6qJM8ZUJsXt3SVTMaasIMZjztfS66CzFzf96qPIa2ToVycpKdnPPvss7r//fjz00EOoq6tDXl6sd6CwsFCSwREEQaSLGO+m2PBvLeT8ahGpDCFaLPRWWmDCpOqShJYwwJDX45P2bmzY3hZpUWfJM6DIqt68ekIcNpMBW/cdp97YBKEBCsxD6hJXn2xHWQFMBj0mVZdEZI83GMI/27sxcVQx/nH4BD5uOyFY2IzZY8y+oIp3PNHt/wAy9KuVlJTs4uJiuN1uXHLJJTGvh8Nh6HQ6hEIhjk/G8sEHH+CJJ57Arl27cPToUbz22mu49tprY863cuVKvPDCC+ju7sbkyZPxzDPP4JxzzokcEwgEcM8992DLli3w+Xy49NJL8eyzz+L0009P5dIIgsgSGMU5FA7zhtta8vRYtKVFVPi3FnJ+tQizgeEiX+D9aLRU6A0Ql6PN9GVd/15rxONBaBuL0cDbG7t8GPXGJgg1cMTlwyeHuyNh4vF9si+qLY0ot4zscfv64e8PYeehrkhoOFdhs2gDMLPHEGrpxfY+GfrVR0pK9s033wyTyYTNmzenVfisr68PEyZMwLx583DDDTckvP/444/jqaeewsaNG3HmmWdi1apVuPzyy7F//34MGzYMAHDnnXfijTfewO9+9zvY7XbcfffdmDFjBnbt2gWDQfqiIe3t7ejsZPdkpUppaSmqqvitVgSRCnI8r4D6n9novGmbyYC1s+tZw21XXzceP/3TXtHh31rJ+dUKjCHEoNPx5rmZDALJq3FoodBbNPE52j3+xLBCBjLkaJ8jLh90OnD3xh5VgsFwWOFREgTBpIjtOtzNGSYerSQzsuegsxfXP7cz5lzRHvACsxHFtjxUFFpY9xhChdPiu1AwkHxQFykp2Z9//jlaWlpw1llnpfXl06dPx/Tp01nfC4fDePrpp7F8+XJcf/31AIBNmzahvLwcmzdvxu233w63242XXnoJv/71r3HZZZcBAH7zm99g1KhR2Lp1K77zne+kNb542tvbcfbZY+HzeSU9r9Vqw5df7lO10kJoD7meV0Ddz2x83nR0eFd8uG1XXxBb9zlZz8NmFebL+W2qLYXRoIPbS5ZkMUQbQp7//86PqbTKwHhz3b4ggHyFRpoZonO0b3z+Q87jyJCjbY57/Fj6ymdYObMOeh0SemMf7uqDUa+DOc+s9FAJIueJThFjCxOvLLKwfo4t6i3aA/7szedh/futeHLWBBRFHcPsMfhyv+dMGR3ThSIakg/qIiUle9KkSejo6Ehbyeajra0Nx44dwxVXXBF5zWw2Y+rUqdi5cyduv/127Nq1C/39/THHjBw5EnV1ddi5cyenkh0IBBAIBCJ/ezweUWPq7OyEz+fF5Pk/RWHl6NQuLA7P0a/w0YaV6OzsVKXCQmgXOZ5XQL5nNtV5GQ9b3jRXuO2hzj7ec8VbhflCe+dMGY3p/92MSdUlVICEg+gQ/kfe2Ivmk5sHo16HO1g2MIw3941FjQqPPHOorXibVPOSGDIsOT0BNLd2YRD8nmoqeUbwQfMyM0Qry/Fh4sCQsvzoX75MiHoTSoEyG/VoPlnALDQYjuwXovcY0Uo9AJxeYkWxzYQHXtuTEOEEqK+4J5Gikn3HHXfgxz/+Me69916MHz8+ofDZueeem/bAjh07BgAoLy+Peb28vByHDx+OHGMymVBSUpJwDPN5NtasWYOVK1emPLbCytEYXiWfgYEgpEQrz2u685IhmbxpofBvk1GPg9/0xhRCY0J7nT0BtJ8YihKIDu2lAiTsRHuuX5ozKaJgA0P3r76qmLX4V65tHNRWvE2qeZnruL1BLH1lNxZOcwAA/Cyb5GiosjjBB83LzCC0RzAb9QlRb/E53PFEh3u7fP1Y+upuPDhjHAx6HUrzTYJ1RVbOrENgQB3ygeAnJSX7e9/7HgBg/vz5kdd0Ol3Shc/EEJ/vzXwHH0LHLFu2DEuWLIn87fF4MGrUqPQGmib79u2T/JyBQABms7QhZ3KcU2vn1cpY5Xim5ESqeZlM3jSf17DBYcdbnx/D+vdaEwqhFdlM6OwN4pZNn7B+R6oFSMRWOdca8SH8gYHBmPe5QuNydeOgpuJtapSXWsTZE0BzayfuvXLI4Pnul06qLE6kDM3LzCC0R2CUZcZ4H5/DrYcOza3sBS2BUx7tjhNe3LLpk5i9Btd6ryb5QPCTkpLd1tYm9TgSqKioADDkra6srIy87nQ6I97tiooKBINBdHd3x3iznU4npkyZwnlus9ksi5KUCj53FwAdvv/970t/cp0OkLp4ihzn1Np5tTRWAP2BoOTnlAOp5mUy4bZiKjsD7IXQpK40Hu3pjR5vJkLP5Vbu40P44yujxrdFKbLmocRmyumNg1qKt6lJXmqZ6JY7DQ47nt92iL2yuE6HqhKbKn57Qr3QvMwcD8+sw4N//DxGhsXvERjjfXwO97rZ9fjhxWPg9vXHpEB5g6EYJZ0xPIuNhFOLfCD4SUnJrq6ulnocCdTU1KCiogLvvPMO6uuHPBzBYBDbtm3DY489BgA4//zzkZeXh3feeQc33ngjAODo0aP4/PPP8fjjj8s+Rino9/YACGPiTUsxouZsyc57dM+H+PxPL0h6XjnOqbXzanGsAwMDkpxPKyQbbhttFe72DrXeYKvsHO+dlrLSeLynN/o75Q49z4RyH2+QYKucyuS7RbdDIYhswWYa6nby/n4nFk1zYP37rVi4+VPMb6xBeaEFZqMeFYUW1J12qtI4QRDKwcjGXYe78bsfXIgfTmVXlhsddhRYhtSp+BzuO7a0YO3semz5qF3Qo81Arbiyh5SUbAA4ePAgnn76aezbtw86nQ5jx47Fj3/8Y4wZM0b0OXp7e9HaeioHr62tDf/85z8xfPhwVFVV4c4778Tq1atRW1uL2tparF69GjabDTfddBMAoKioCLfccgvuvvtu2O12DB8+HPfccw/Gjx8fqTauFQrKqiTNm/Uc/Ury88pxTq2dV4tjzWa4PLDJhlMxVuGW9m7OEHAg1jstZYEqtmJtDHIK3Ewp9/EGCa7w8EaHHauuraPNBZF1WIyGGA/21eMrI0X+gKFw8nMqC0nBJggVEC8bT/QGMRAO47cfHU7ogDG3oQZ9gSFnRrysY6K0xHq0GagVV3aQkpL917/+Fddccw0mTpyIhoYGhMNh7Ny5E+eccw7eeOMNXH755aLO88knn2DatGmRv5n8kjlz5mDjxo2477774PP5sGDBAnR3d2Py5Ml4++23Iz2yAeAXv/gFjEYjbrzxRvh8Plx66aXYuHGjLD2yCYJQD0Ie2FTCqZLxTktZoErq0HOxZEq5jzdIxLdVC4XD6B8YREuHC4+8+cVQWxNStGPI1nz9XEGnA68H21FWgArqSEAQqiBeNnr7Q7jnfz/j7ICx+dbJANiN74xH+6U5k7Dlo8MxRT/jPdoM+WYjDjp7ab3XOCkp2ffffz/uuusuPProowmvL126VLSSffHFFyPMk4Oq0+mwYsUKrFixgvMYi8WCdevWYd26daK+kyAI7SOXBzZZ77RUBUikDD1Phkwp92wGCW8whJb2bkwcVZwQmt/ZG4z8lzYZyubrE+lz3OMHAOh1SPBgH/f4UWA2wmoixwBBqIV42Wg26llbeDFEy2i2HO76qmL4+wdx/ujhmNtQgzyjHgadDh8e6kqQf021pfjkcDeW/WFP5DVa77VJSkr2vn378P/+3/9LeH3+/Pl4+umn0x0TQRAEL3J5YFPxTktRgESMci+HJzOTyn20QaKrb8gowZb7DgAuXxAr3thLSiWUzdcn0ofpjV1g5VeiqWEXQaiHeNnIVkeEgZHR0Tnc8xtrMHfKaOSbjegLDKClw4WFmz+NyDqbyYC1s+vxWYcrRv5dVFuKBdMcmL/xHzHfwbXeU4STuklJyR4xYgT++c9/ora2Nub1f/7znygrK5NkYARBEFxI4YGVKp9bCoSUe28whPtk8GRKmVcuhohBwtmLG5//kPO4QP8gKZUnUSpfn0if6N7YRgFHNfXFJgj1EC8bueqINJ2U0QBijKGMx/ulOZNY67wwKVN/WdyEgcFwZK9h1OswfW1zguEZSFzvKcJJ/aSkZN922234wQ9+gEOHDmHKlCnQ6XTYvn07HnvsMdx9991Sj5EgCCKGdD2wcuRzpwuXcg8Ai7a0yKJ0SplXngx8yn1TbSl2Hkr0FgC52X9cqXx9In2OefyR3tjUF5sgtAMjG5l9AqMUP3D1WNw//Wx83e2DyaCHY0QBKoutOOjsZTWG8nnAJ1WXoNiWFyOLWtq7WRVsBrevHwedvQiFw3jkjb0x+d1A7hqj1UpKSvaDDz6IYcOG4ec//zmWLVsGABg5ciRWrFiBxYsXSzpAgiCIeNLxwKo5/JZNuecS3oA0nky1ee5/es05+O667Zyf1VL/cSlQKl+fSJ5oY87wfBNc3lPP6mcdLva+2AAqCi20ISYIlTGy2IonZ03AQWcvXFFVwVf9eR+8wVCk3STAbQxlPOB6nS5BBrEZsgvM/GqZXq/DpU9tw0tzJiUo2AwU4aQeUlKydTod7rrrLtx1113o6ekBgJiK3wRBEHKSigeW2QAHBkKaCr/NhCdTCc+9DsD08ZWYM2V0pFKrsyeA0OAgryVfK/3HpSLTIf1Eahxx+bD0ld2RXriv/PDbkWJm7+934ramM/Bi8yGMG3mqD7Ylz4CJVSUospKhhCDUSHmhBaHBsOBeg8sYyhUWzmXINhn0nJ7vBocd+pNZJUzhRC4owkkdpKRkX3LJJfjDH/6A4uLiGOXa4/Hg2muvxXvvvSfZAAmCINhIxgMb7c189ubzeM+rNuGkZU8mV5i22xtMyDFnWHP9eM33H5cSpUL6CfEwudeMgg0AA6EwTEbE9Ma+bGw5ygstEaNS+wkvxpTm029IECqGb6/ByDi9Hmh02LGdRTk+r6oYFpMhYlzjw+ULYl5DDQAk9OOe11CDo+6hTgVmo573PGreF+QSKSnZf/vb3xAMBhNe9/v9aG5uTntQBEEQYhDjgY33ZmpNOGnVk8kXpu0LckcTPPLmF3hrcRMe+uPnmu0/LgXRBooiax6emDUBvf6BjIX0E+Jx9gRiFGwAsJkNeH+/k7c3dt1pRaI23gRBqIMwEGkFEC3jNs79FuY21CCMROV4bkMN+gIDos5fYM7D7Bc/4uzHzYSni6l2TihPUkr27t27I///xRdf4NixY5G/Q6EQ/u///g+nnXaadKMjCIJIk3hvptaEkxSezEwX/hIK077zslqOTw6F13l8QU33H08XPgPFmLICBUdGsOHysRtrmDzs+N7YTo8ftWUFpGAThAZgW4/XXD8eb+0+GjGueftDuOd/P+NUjjffOlnUd5UWmDCpuoS1H3eDw46WDhcA7mrnFOGkLpJSsidOnAidTgedTodLLrkk4X2r1Yp169ZJNjiCIIh0ifdmalE4pVOcTInCX0Jh2j+5aizv5/PNeZruP54O2ZBHnmvYTIn9uSgPmyC0D9d6XDbMHBO9Yjbq4Q2GWJVjINGgyyV3imwmrLq2Dj95bU9M6HmTw44F02pxy6ah/tlMrvf8xhosvNgBS54BRVaKcFIbSSnZbW1tCIfDOOOMM/Dxxx9jxIgRkfdMJhPKyspgMAg0gyQIgsgg8d7MaOE0v6EGRdY8lNhMqhdOqSidSilsQmHaBr2Ot4VXKBzGwW9601Z4leo/ng7ZkEeea1iMhoToGCYP+/Kx5SijPGyC0CRc63F84bFkIuT4DN/5JgMefvMLTKwqwbyGGuSbjegLDGDPv93w94dQX1Uc+Q5vMITPOly4+YIqVGqgU0YukpSSXV1dDQAYHOSvakcQBKEW2LyZjMU5ugVHZ28Qhzr7VOHNlAqlFDahMG2DXseq/DY67JgzZTSufWZHpEVKugqvEv3H00HLeeS5ik4HLJrmAICYDfCv//4V7r3ibOj0gD8YwjBLHiZVl2TF2kIQuQDXehxf20VshByf4Xvpq7vx4NXjsHWfE1v3OQEAiy5xoKW9Gztau2AzGWLC0YuteRhDaSeqJqXCZ5s2bUJpaSmuvvpqAMB9992HF154AePGjcOWLVsiyjhBEITSaNGbKRViFTapQ6aFwrTtJ8/PKL9uXz/8/SHsPNSFxVtaIi28pFJ4leg/nipazSPPdfQ6xORem416HPf44fH3Y8QwM86uKlR6iARBJAnXehzvueYK3y6wDHmiW9q7UWjNw+BgmFPuNB/oRLc3tqh0vPLOhKMz+xdSsNVNSkr26tWr8dxzzwEAPvzwQ6xfvx5PP/003nzzTdx11134wx/+IOkgCYIg0kFr3kypEKOwSZ2z7fYG0dUXxE+vOQcr/rQ34bzRVn1G+T3o7MX1z+1kPZ9cCq9aPcZarSZPEASRbXCtxxu2t+GlOZOgB9AcpWjvjgrfPuLy4Z7//SxGBr40ZxLv91nj6jtoNb2NGCIlJbujowMOx1Bo1Ouvv47/+I//wA9+8AM0NDTg4osvlnJ8BEEQkiClN1NtxbK4EFLYCizGhE0AkLqRIVphZ0LbfjR1DMx5ehRbuTcGSii8avUYU19sgiAIdcCsx/GG6PqqYvj7B3H+6OGY21CDYZY82PNNMf2z2cLCxRCf2x2f3kYyQDukpGQXFBSgq6sLVVVVePvtt3HXXXcBACwWC3w+n6QDJAiCkItUlDslqnWnipDC1hcYkCxkOn5TwWwMxGwOlFB4xXqMlTCopFNNniAIgpCOkcVWrJpZh9ZvemNacy3c/GkktendJVNj2is6ewKsspWvQFqDw4739zsxr6EmxkMOkJFVq6SkZF9++eW49dZbUV9fj3/961+R3Oy9e/di9OjRUo6PIAhCNpJV7rTYXolPYWtp7+b9bDIe5HSKrCkRIi3GY8xlUHl4Zh3cviAKLPIp3VK0MCOkh83oQhBEdlNsy8OmnV+JklFHXD60n/CynofJsdbrdDFypcFhx7yGGize0gIA+N0PLsTcngDyzUYMDoZRWWyBrz8Et5e6S2iJlJTsZ555Bg888AA6Ojrw6quvwm63AwB27dqF2bNnSzpAgiAIuUhWudNqeyUuhU1KD3I6Id9KhUjzGSD4DCrLX9+D+qqSiJdejVEMhPQccfmw9JXdMf1xL6otxYprzlFwVARByI1YGcXIjblTRrOeh8mx/r8fN+Hrbh9cvv6IZ5wp+tngsOPtL45j/XutePbm87Dgt5/ipTmTcMumT0jeaIyUlOzi4mKsX78+4fWVK1emPSCCIIhMkaxyp9ZiWakipQdZjMLOF3qtVIg0lwGCz6Cyo7UL8xtqAJxqvbJehVEMhHS4vcEEBRsA69whCCL7GFlsxROzJqC7LwiPfwCFViNKbKaYCt+M3JgwqpgzLLy+qhgftZ3A5JrheG7bQV6PNtMqjOnLreaoOSKRlJTsDz74gPf9iy66KKXBEARBZJpklDu1FstKFSk9yEIKuyVPn1DJPd4qr6YQaSGDCrPpAYZarzh7AoqNXSuF+LTMMY8/QcFmGESY97M6OQZEEERGEVOPhZEbXH2zmxx2zDmpRDeMseOxG87FV519nB7tlg4XgNi+3GqOmiNiSUnJZqsgrtOdEiOhUCjlAREEQWQascqd3LnDWi6yxaewr75uPH4a184LULdVXsigEr3pAQC3T5koBi0V4tMqxz1+uLzcv68/yL/nMehIzSYILSO2HgsjN+JbbzEF00YMM+M/X/g7vMEQ3tnnxLKrQhhdmp8gN6M92tHKNoPWouZylZSU7O7u2GI5/f39aGlpwYMPPoif/exnkgyMIAgiGTKhoMqZO6yksiSVB5lLYe/qC2LrPifrZ9RqleczqLBtemxx/U0zgRYL8WmNIy4fnJ5AQv/aaN790olvn2FnfU+nA4ps2opwIQgiFrH1WEoLTGiqLUXzgc5Ihw2GBocd9VUlkYrkAODx9eOMEQVYN7sexzx+fN091KGJ8WjXVxXHhI8z5JuNOOjspegllZOSkl1UVJTw2uWXXw6z2Yy77roLu3btSntgBEEQYsmkgipH7nA2KUtsCvuhzj7ez6jRKs9lUInPmWNeyzelJE5Fw2ZE0mohPq3A5GEvnOaAzWzgzLH8rMOF6yachoPfxD7nOp0OVSU2+g0IQuMkU49l4TQHBsPhmLWCTW4Ap1LMGLlpMRrQ+k0vLqgZjm+fYceHh7oi4eMMTbWl+ORwN5b9YU/kNYpeUieS7gpGjBiB/fv3S3lKgiAIXpRQUKXOHdaSspRKxIBWc9mjDSrukzlzn33titn0NDjsuOOSWhTL6K3kMiItvrSW93NqNF5oCWdPAM2tnbj3yrPw/n4nFk1zAEDC5vkHF41BkS0PV9VVxBjfJlWXqGbeEgSROmJlWGdvEPM3/iMSJp5n1MOg03EqywWWWDXshDeIWzZ9ApvJgLWz69HS3p3wmYXTHJi/8R8xn9OiQT4XSEnJ3r17d8zf4XAYR48exaOPPooJEyZIMjCCIAgxaElB5UIrVctTjRhQog+2VEQbVI66fNDpdFg3uz6SY+fsCWD0cPm8lXxGpB9OHcP7WbUaL7SCKyrP/rMOF849rRhXj6+MybF0evwYWWSJ/P5qX2sIgkgesTLM4++PCRPnVJYddsyZMhoPvLYHK2fWReSnUE73GaX5uHrd9phzMWhlv5NLpKRkT5w4ETqdDuFwbEXNCy+8EBs2bJBkYARBEEK4vUGc8AZ5j1GLgsqHFjy96UQMKNUHW2oqi60Z91byGZF2HuqK5P/Fo3bjhRZg8uzf3+/EbU1n4MXmQxg3sijSsseSZ8DEqhIUWZWfnwRByIdYGRYvy+OV5XyzEX2BgZgCaIGBU/IzWpmPz+m+qLYUD8wYx6pgM2hhv5NLpKRkt7W1xfyt1+sxYsQIWCwWjk8QBEFIC+NVnTtlNO9xalBQhdCCpzfdiAGl+mBLTTKpAlIU4+OLctiwvQ1v3NGIlX/aq2njhVqxGIfysJ/fdgjnnlaMy8aWo7zQEvEqtZ/wYkxpPt1ngsgBxMgwNlnOKMtM4bP177Xi2ZvPiyjLH0S1gBRS5n39/J0MtLDfySWSUrLfe+89LFq0CH//+99RWFgY857b7cb555+PX/7yl2hqapJ0kARBENFEe1UnjCrmLEikFgVVCC14eqUIac9UH2w19I2WqhgfX5SDNxiCDsgK44Ua0euARdMcWP9+KxZu/hTzG2tQXmiB2ahHRaEFtWUFqKBCQwSRMwjJMEaWx6/98YXP4ltAtp/wIt9sxMhiK68yf9zjR6PDju0s+51Ghz0hx5tQlqR+jaeffhq33XZbgoINDFUcv/322/HUU0+Rkk0QhKxEe1U3bG/D2tn1AGILEqlJQRWD2j29WghpB9TRN1qKYnyMoSAUDvOGhNtPGhDU8pxkG3odYvKwgaG+2QVmI/IVaNtGEIS6GVlsxZOzJuCgsxeukwUzmZZc3mCItQUkACx9dTeenDUB5YUWzjW9LzCAuQ01CCOxAOPchhr0BQZkvDIiWZJSsj/77DM89thjnO9fccUVePLJJ9MeFEEQBB/RXlW2AiHVdhtKC8yR3EmtoGZlSQsh7WpphZZuaH20oYApnBMOh2O8F1ozImmN4x4/gqFB3mOCg/zvEwSRm5QXWhAaDItuAdnS4ULzgU4cdPYiNBhGvsnAGo3l8gZZC6IxSvxvbpmsxOUSHCSlZB8/fhx5edzeCqPRiG+++SbtQREEQfDBVlwkukDIS3Mm4bG/fEl9IyVECyHtaqk0n05ofbyhINqItOBiByx5BhRZY6Mc1BAen00ccfng9ARgNADeILsi7Q2GUGil0EyCINiJj06zmgz4tD2xBWS00u3y9WPpq7tx1fjKmD7YTbWleGRmHWwmY8J+JxobRdeoiqQkxGmnnYY9e/bA4XCwvr97925UVlZKMjCCIAgu+LyqjFWY+kZKj5pD2tVUaT6d0Ho2QwGzqVr/XiveXTIVY8oKIu+pITw+m3B7g1j6ym4snOaATW/Ar//+VUxFcQA44vZj677j+OmMcxQcKUEQaoPN4Bm9XluMhpgWkNFh5MBQrnbzgc6Egq7NBzqx/PU9WH7VWM4aNA0OOwx6nazXRyRHUkr2VVddhYceegjTp09PqCTu8/nw05/+FDNmzJB0gARBEPFweVXjrcKZ8F7mmhdRjSHtaqs0n05ofTJecLWEx2cTzp4Amls7ce+VZ0Vad61/vzXGc9TgsOOOS2pRbFNHHQKCIJRHjMGz2JaHTTu/4nUQAIjUf4hmR2sXwghjXkNN5O/oz85rqCElW2UkpWQ/8MAD+MMf/oAzzzwTixYtwllnnQWdTod9+/bhmWeeQSgUwvLly+UaK0EQRATGq/pvlw9fdXlZrcKAvN5L8iIqjxorzacTWi/GC84YdgIDIVWEx2cLbm8QLu+p9eKzDhfOPa04pvCZ2aiH0+PHyCIL3VuCIACIN3gW2UxYdW0dlr/2OZpbxVcfZwgOhLH5o8OorypJyMn+/cfteHLWBPkukkiapJTs8vJy7Ny5Ez/60Y+wbNkyhMNhAIBOp8N3vvMdPPvssygvL5dloARBEPEU2Uzo7A1iwW8/5TxGLu8leREzC1fEgForzacaWi/kBbfk6bFoSwuaD3Ti2ZvP4z1XpsLjs4EjLh+WvrIb9191NgBEvNgvNh+KCRe35BkwsaoERVbyYhMEMYTYeiDHPX48/MZezG0YjR9ePAbuJKqPA4Db24+bJldj086vYqJr1FQbhThF0lU7qqur8dZbb6G7uxutra0Ih8Oora1FSUmJHOMjCILgRamq12opsqUlUg2t54sYEKo0P9puw2nFVkV+i1RC6/m84KuvG4+f/mlv5D5weTsY1NJWTe0c9/ix9JXP0NzahRVGAxocdjy/7RDOPa0Yl40tR3mhJeIxaj/hxZjSfJrbBJFDCMkut4+/Hojb148jLh++6uzD1i+/wc5DJ7B2dj1++9HhGINwU20pFk5zYP7GfySco8Fhxyft3diwvQ1/WdyEgcGw6mqjELGkXBqzpKQE3/rWt6QcC0EQRNIoVfU6nQrSuUiyofXRfaIfeWMvmuNCwJmIgQdnjIt5Pb7y6rtLpmpu88HlBe/qC2LrPmfkuJYOlyrC47UMU0mceb7CujAWTXNg/futWLj5U8xvrEF5oQVmox4VhRbUlhWgglJBCCJnECO7bCZ+dcpmMmDpq7sx+4IqAOwGYbNRj6rhNhSYjZhUXcJZb2ZSdQmKbXmak2u5CPWfIAhC8yhR9TqdCtK5RrKh9dGbmpfmTEpQsKM/bzLoZY1kUKqwHZsX/FBnX8zfagqP1yLRlcQZ/MEQ9DrE5GEDQ97uArMRw8y0bSKIXEGM7OoLhhAMDfJW/dbpkFA1nK0V17tLpqLy5H7mmMePr7t9ABAJJ59UXRKztuda4VWtQdKCIIisINNVr6UIU88VAZlMaH38poatymo0bl9QtkgGtRW2Y+sPH+0NKbLmocRmotBBkURXEmd490snLqwZznq8TgcUUUVxgsgZhGSXsyeAh9/8Arc01PBW/R48WcNKKPqowGLEQWcvPP5+FFnzUHdaEXr9A7Dnm3DdxNNi1na1ySciEVKyCYIgUiDdMHUxAjJblPBkQuvjNzVCecf55jxZIhnUWNiOzbDDeEMuqi2lYntJ4vKdeu6YjS+Tix2PTqdDVYmN7i9B5BBCssvt6490tvjiiJuz6vcDVw+lNXFFHzXVlp6sOr4nJiWI2RNE99oG1CmfiERUrWSvWLECK1eujHmtvLwcx44dAwCEw2GsXLkSL7zwArq7uzF58mQ888wzOOecc5QYLkEQOUaqyp3YELRssVKLDa13e4M44Y0tICM271jqSAY1FrZTqv5AtmIzGQAMVRJfdDJkfEdrVyQXu9qejwKzEcPzTZhUXUL3lyByDCHZxawhjPL88o62mBDwptpSPH7DubCZDBEDaXwudrE1D6eXWPHwG3ux9ctvYs7PpTSrUT4RiahayQaAc845B1u3bo38bTAYIv//+OOP46mnnsLGjRtx5plnYtWqVbj88suxf/9+DBs2TInhEgSRY6Si3IkNQcsWK7WY0HrGsx+dswYol3es1sJ2StQfyDbc3iBcvn5Y4iqJx/fDbj/hxbQzR1ChM4LIUfhkV1NtaUTJ5ipk5hhRgMqT60e0gZRRxBsddsxtqMGhb/oSFGwGNqVZTDVzQnlUr2QbjUZUVFQkvB4Oh/H0009j+fLluP766wEAmzZtQnl5OTZv3ozbb78900MlCIJIgC3kW2wIGhtatFILeWABRLz2E0YVx3iuozcvCy92wJJnQJE1twvbZbr+QDbB9MP+8WW1KM7Po0riBEFwwiW7Ghx2zJkyGv/4qhtNtaVoPtCZUMiMSeFhiDaQun398PeHsPNQFxZvacGTsybwjiPeqCummjmhPKpXsg8cOICRI0fCbDZj8uTJWL16Nc444wy0tbXh2LFjuOKKKyLHms1mTJ06FTt37iQlmyCIjMCXN82Vd7386rG85xQSkFpsD8bngT3o7I3cIzbPtTcYwu4OF26+oCriFZAbpfqvE/LBVBNvbu3EwmkOqiROEIQgI4uteGLWBBx09sLl64/kWi/e0gIA2DD3W9ABCQbkh2fW4auuPhT0BSP7AubfQWcvrn9uZ+R4odoj8UZdvV7HW83coNelccWEVKhagkyePBn/8z//gzPPPBPHjx/HqlWrMGXKFOzduzeSl11eXh7zmfLychw+fJj3vIFAAIFAIPK3x+ORfvAEQSSFFuclX/Gy/JN9MVlDvgfDvALSmsevZGu1PRiXBzbas88Wdldtt6G0wIzyQktGx0r5z9qcl1ww1cQBwGY2UCVxQrNk07zUAh5fP2761Ues783f+A+8tbgRocEhA7jVZMCn7S5ctbYZ3mAIQGI9lfhoNr7aI00nq45HY9TreKuZk5KtDlStZE+fPj3y/+PHj8e3v/1tjBkzBps2bcKFF14IYKjiZzThcDjhtXjWrFmTUFCNIAhlUdO8FFPVW6h42YMzxnGGfHd0+3gFZCgczikvKltrquiwu5fmTMJjf/ky40XfKP9ZXfMyXVze2I3tZx0u9kriACoKLTn1OxPaIpvmpRZw8eQ4e4MhdPYGMWn0cLi9QSza0iJYTyVe5nHVHmHC0h94bQ9WzqyLyD97vglr3trHWc08Pvw8WzqVaA1VK9nx5OfnY/z48Thw4ACuvfZaAMCxY8dQWVkZOcbpdCZ4t+NZtmwZlixZEvnb4/Fg1KhRsoyZIAhxqGVeiu09KVS8jE8oG/U63MFSJIUJQXvzjsac8qLyhWY3OOxo6XApVvQt1/Of1TIv0+WIyweb+VSEyPv7nbit6Qy82HwI40YWRaIkLHkGTKwqQZGVvNiEesmWeZkumVIe8wVSuJgUL7FVv+NlXnQE14KLHQiFw+gfGIzsCbzBEAIDp+Rfkc2ElTPrcP+ruxPywOP3CNRPWzk0pWQHAgHs27cPTU1NqKmpQUVFBd555x3U1w9Zf4LBILZt24bHHnuM9zxmsxlmszkTQyYIQiRqmJfJ9J4UKl7GJ5RbOlw4v7okRjgyXFRbCvvJjUKueFGLbCasurYOP3ltD7azePaZ3DctFn3TOmqYl+nC5GKvuOachH7Yl40tR3mhJaai+JjSfHrGCFWTDfMyXTKpPOabjLwpXvknC5GJ7UrBlo7kDYbwWYcLE0cVRxTraOLlX3whNZvJAL1eB19/CG7v0HHUT1tZVK1k33PPPfjud7+LqqoqOJ1OrFq1Ch6PB3PmzIFOp8Odd96J1atXo7a2FrW1tVi9ejVsNhtuuukmpYdOEIQGSab3pFD16XyTkdM7u/+oB6uurcPyOKWy0WHHqmvrIt+R7V5UxgsRCofx+F/2YWJVCe678mx83e2L8exHbza0WPSNUBYmFzusC/P2wy6y5VE/bILQAFIpj2I94cW2PNxxSS2AxHDuOy6pRfHJ+g3JdKVgS0cKhcO49pkdCQo2Q7z8K7KZ0BcMYcUbe1mNDb5gKKs6lWgNVSvZX3/9NWbPno3Ozk6MGDECF154If7+97+juroaAHDffffB5/NhwYIF6O7uxuTJk/H2229Tj2yCIFIimd7IQtWni215nCHfP/3uOVhzUqmcFxcu/sibX+DJWROyXvBFeyFemjMJW7/8Blu//Ab1o4qx4Lefcn5Oq0XfCOVgcrHZqombjXoc7urDmBEFsBkNWT/vCCIbSMYgzkUynvAimwnVw22Yce7ImLXD2RPA6OG2yHcl25Ui3pB+0NnLqWADifJPyNhw52W1vPdAy0ZrLeSZq1rJ/t3vfsf7vk6nw4oVK7BixYrMDIggiKwmGSu0mOrTRTawhnx39QXx5z3HOL8n263L8RsDpnUSwF9lNZuKvmlhg5ANROdiUzVxgsgOkjGIs3Hc48fSVz5Dc5yc4fOEVxZbcVVdRYw8j498SbcrRbJKupCx4SdX8bcL1arRWit55qpWsgmCIFIlFSWmwGJEo8MeE8LN0OiwJ7TREFN9mi3k+1BnH+84tGxdFkP8xiC6RyhXldVsKvqmlQ2C1onPxWbysOPR6XSoKrFlxbNFELlAMgbxeI64fPiqsy9BwWbg84SLSeFKpytFskq6kLHBoNfJ0qlESSOxlvLMSckmCCLrSFWJ6QsMYG5DDcJIzLua21CDvsBAwmdSyZtOZ4PAhZY8o3w9QuP7ZANA1XAbyoaZVXs9yaClDYLWOebxx+Rir3+/NZKHXV5ogdmoR0WhBbVlBagg4wZBqJ7oOh5NtaWsXlw+5ZFZf2dfUMX7PekautOpp5KMki60lzDodZJ3KlHaSCxFqkCmICWbIIisIh0lxu3rj1Hw4ltrbb51siTjM+p1KW0QuFBa6CWLUI9Qpk82sxGoVOE1pIqWNghaI9rQNDzfxJuLDQyFjBaYjRhmpq0QQaidaDlnMxmwdnY9wuFwTOSZkPLIrL9zp4zm/S6lw6jFKulC4eVSdSqJNm488sbepMLspSbdVIFMQpKFIIisIh0lptCSF1Hw2EhX8DKbhF2Hu7F2dj0Gw+G0Q6Ll9ozK4SHn6xG68GIHLHkGFFmzs2WZljYIWuKIy4elr+xGc+vQM/XKD78Nq4lysQlCLaQjS+LlXHxfabEyg1l/s6X2h9jw8nQ86/FFSlMJs5cSOSIB5YKUbIIgsgohJaarLwh808sq4JMtOpIM8ZsEqUKi5fSMyuUh5+oRurvDhZsvqMoqz3U8WtogaAW2IkYDoTBMRlAuNkGogHRlCZucYwzi699rxbtLpmJMWYHgeZj1l6v2R5MGa3+kkwMuBF+RUjbYjMRSG+rl3KdJDSnZBEFkFUJKTI+/Hzc+/yGrgE+3Migf8ZuEeI/5u0umpnR+uTyjcnvI2TYGBRYj+gIDaGnvVn1eeapoaYOgBY64fHB6AgneFZvZgPf3O3lzsetOK0J5oUWhkRNEdhKvVBWYjWnLEqnkXPT6G58aVmzNw5iyAk2uCel4qvngK1LKRryRWA5DvZz7NKkhJZsgCM3CZiHlU2IaHHa0dLgAcAt4uazCcinDcnlGM5E7HL0xOOLy4Z7//UwzeeWpoqUNgtphqocvnOZgff+zDhfOPa04IRfb6fGjVqObaYJQM2xK1eZbJ6ctS6SSc/HrL2PoZtZfWhNi4StSGk+8kVhOQ/3IYiuemDUB3X1BePwDKLQaUWIzqe73IyWbIAhNwmUhfeyGc1mVmAaHHfMaarB4S0vkNS4BL4dVWC5lWC7PaCZzh6UQxlqqri5neF8u4ewJoLm1E/deeVbCe+/vd+K2pjPwYvMhjBt5ymNtyTNgYlUJiqwUlk8QgHRrJ9c67vKlL0uklHO0/opHqEgpA5uRWIupbFJDSjZBEJqDTylbelIpY4RoV9+QIGUqhHuDoZjPZKrQlFzKsFye0UzmDqcrjLUicKORK7wvF2CUAqZ6OIAE7wqTh3352HKUFVoinQLaT3gxpjSf7j1BQNq1k2sdTzbEmA2p5Rytv+JIp0ipVlPZpISUbIIgNIcYpWxMWcHQQuvsxY3Pf8h5rkwVmpIzTFgOy3wmc4fTEcaZFrha8phnI9FVxP+8uBEAIrnXwCnvijcYwq///hXu/c7ZMOp16AsMYJglD5OqS+j3IghIv3ZyreNSVfImD3TmKbKZsOraOvzktT2RVmneYAj/bO/Gjeefjip7PudntZzKJhWkZBMEoTmSUcoKLEY0OuwxvTQZGh12FFiMGVOc5NwkSG2Zz2TucDrCOJMCV4se82wivoq4xWiIqR4enXttNurh7AmgxJqHCvptCCIBqddOrnWcCTHW63Ss6V3JfAd5oDOL2xvEw29+gYlVJZgXtba2dLjwyJtf4MlZEzh/j1QN9UL7MS21wSQlmyAIzZGMUtYXGMDchhqEEZtD1OCwY25DDdy+IO55c1/GFCc1bhK4hFqmPAfpeM0zJXC1FKKWjbBVEQ/rwrzVw2vLCkjBJggO3L6gwPvJrZ1c67g3GMLvP27Hk7MmoNc/kBEvNEUcSUNnbxBb9zmxdZ+T832u+5qKoV6MIVtLbTBJySYIQnMko5S5ff0JrToYS+ziLS1YN7tek4qTVJsIIaGWCaNAOl7zTAlcLYWoZRuMB3vhtNqY1/3BEPQ6JFQPP+7xo8BsxDAzbXEIggubiX9+2EyGpM7Ht44/PLMO5YUWlBemNNSkyMWII7mMCukasZMx1Is1ZGupDSZJIIIgNEcySlmhJS+hJ7UY1Kw4SbWJkMM7m6qwT9VrnimBq6UQtWwi2oN975Vnx7z37pdOXFgznPVzOh1QZFOPR4Mg1IZer+PMlW5w2GHQ65I+p9J500JFUZ+cNUF1bZ7SRU6jghRGbLGGerGGbC21wSQlmyAITSJWmPMpYU21pZG+2WxIoThJbWGWUjGW2jubrrBPxWueKYGrpRC1bIGtD3a0UsDkYsej0+lQVWJT1WaLINSGUa/DvIYaAImpVPMaalJSsgFlU6L4ZFrzgU4cdPYiNBjOGo+23GlMUhqxpcy1VtqYIxZSsgmC0CxihLlQCNtVa5s5P5uu4iSHhVlKxVhK76ySOcvxAjffbITJoIezxw9vf0iS0DkthahlC/F9sOOriHuDISzc/CkeuHosKk626SqyUgVxghCDPd+ENW/tQ31VSUIqFZNDnQpK5kMLyTSXr1/1qWDJIHcak1RGbDlyrdVY3yYeUrIJgsh6uKyeADCpukQWxUmM0gkg6c2IlIqxlN5ZpXOWGYErV+iclkLUtA5XH2y+KuL2fBMVOSOIJCiymbByZh3uf3V3TDpVOmua0vnQQjLNbNSrOhUsWTKRxjSy2IonZk1Ad18QHv8ACq1GlNhMosPuszHXWiykZBMEkRNwWT3lUpyElM5jHj9W/Tn5quZSKsZSCjUhYd/tDcLtlXdjI7c3XSshalqGrw82VxXxutOKsi7PkiAyQfSa5vb1w2YyQK/XwdcfSnq9VkMHBj6Z1uCwR9LDsqWGRibSmNI1nGRjrrVYSMkmCCKnEaM4pRL+JqR0ft3tS2kzIqViLKVQExL2bl8/7tjSIqtHIxPedC2EqGmVZPpgA0Ph5OdUFpKCTRBpUGQzoS8Ywoo39qblgVY6mgk4JdPilUImz3zxlhYA2VNDQ27vrxSGk2zMtRYLKdkEQeQ8fIpTqlZcIaWTC6HNiNTWXqmEmhgPgtweDaoArl2oDzZBKINUHmi1rL8ji614ctYEHHT2wuXrj2nZ6Q2GcFFtKQosRhx09mq+j7bc3l8pDCfZmGstFlKyCYIgOEhn8yFnVXMdgOl1lZgzZXRMXmqqSCHUuIR9vAdBTo8GVQDXJtQHmyCUQyoPtJrW3/JCC0KDYVblc9W1dVj+2h5s3eeMeV2rfbTl9P66fUGB94UNJ2rJtVaiIB9JKIIgCA7S2XzIVdXc7Q3ivpM5q/E01ZZivYJVUxlh/2+XD191eRM8CAxytUZTizAnxEN9sAlCWaTyQCu5/rLJAzbls8BiTFCwgczmjcuBXN5fm4lfTbSZDILnUEOutVIF+UjJJggiK5HCapnu5kOOquZMWyM2mg90wtkTUHSTUGQzobM3iAW//ZTzGLlaoz12w7mKC3NCHG5vEC5fPx54bU+MB5v6YBNEZpHKA62UMiWkQEV/70Fnb4KCzZBNVce5SHZfpNfrYtbkaBocdtG91JXMtVayIB8p2QRBZB1SWS2l2HxIXdXcJRCeJSZ8S27k9GjwCcylJwVmNhVOyUaYCuI/vqw2xoNNfbAJIvNIuV5nWplKVoFSS964EqSyLzLqdZjXUAMAMYo2kwYmVskGlMu1VrIgHynZBEFkFWKFrhiLrpzKYqqbkXyB8Cwx4VtyI6dHQ4zAHFNWQEqYSnF7g5EWXQtPKtQA9cEmCKWQer3OpDKVrAKlprzxTJKqN9eeb8Kat/ahvqokZk1u6XDh9x+348lZEzi/L9P5z1woaVghJZsgiKxCjNDtC4ZEWXTlDn9LZTNiMxl4w7cYJVtpISeXRyOXPRHZwDGPP5LuYDMPPavUB5sglEWK9VoJmZOsPCiwGNHosGM7i/xsdNhRYMlOtShVb26RzYSVM+tw/6u7sf691sjrfHsgpfKfuVDSsJKdTxNBEDmLkNB1+/oT+oECsRZdAJHNQpE1D0/MmoBe/4Aqwo/10MWE1DI0OOxYNK0WeuhUI+Tk8GjkqiciG3B7g3B5Y+cn9cEmCHWQznqtlMxJVh70BQYwt6EGYSTKz7kNNegLDMgxTMVJxzgtxgDDGFhC4TAeeWNvTCtGQNnCckoW5CMlmyCIrEJI6NpMBl6L7jGPH6v+vI91szCmrEDSsaZCty8If/9gQkjtcY8f/v4QTniD+Pk7/1KkyEcmkFtgKh0BkM04ewKwRqUzkAebILSPUJ2MB2eMg0Gvk2UtTVYeuH39WLylBfMbaxLCnxdvacHmWydLOj61kK5xms8AE21geWnOpAQFm0GpwnJKVjcnJZsgiKxCSOjqBQp1fN3tU7WCWmDOw+wXP4ooJAxH3EPGgT/8aIpiRT4ygZwCUy0RANmKy9sPc54+ku5AHmyC0D58ocjNBzrRccKLWzZ9Istamqw8KLTkwRsMxYQ+R5OtkVByGafjDSzMGs6FUulc0d54t68fNpMBer0Ovv4Q3F4qfEYQBCEKIaHr6w/xfJobtSiopQUmnF9dwrpJaBJhRMiGnGU58r2VbPPBNZ5s8qgfcflgMxuwdd/xmHQHxoNdbc9HgdmI4fkmqh5OEBpCKBSZUbzkWkuTkQdKhg4riVzG6XgDi9mo5z1eSSNGkc2EvmAoIV1QTkM6KdkEQWQdfELX7Q1yCtmm2lK0dLg4zyuFgiqF8rRwmgOD4XBCTtnCaQ4IddTIFku91PneSrb5iCfbPOpMRfEV15yDzzpcrBXE27v6MGVMKapL85UeLkEQSSAUihyteMm1loqVB0qGDitNKsZpof1KvIGlpcPFWZhVaSOGEoZ0UrIJgshKuIQun5B9eGYdrlrbzHnOdBVUKZSnzt4g5m/8B2tO2fyN/8BfFjflpKU+XTJRtVyMgUVtHnUpcPYE0NzaibAujNuazsCLzYcwbuSpfGtLngETR5UgHA4rPFKCyB2kipbh8w43OOwJhmulo6ky3ctbTSRjnBazX4k3sGzY3oa1J4vHRivaajBiKGFIJyWbIIicI17I5puNMBn0CA4O4vzqEtaFOF0FVSrlyePv580pc/uCOWupTwe5q5aLNbCoyaMuFS7f0KbaHwxBrwMuG1uO8kJLxEB0uKsPRr0O+SbKwSaITCBltAxjuI4/X4PDjnkNNVi8pSXmeDVEU2Wyl7cWEbtfiTeweIOhSGG5hRc7YMkzoMiaGSNGsl73eOQw/pCSTRBETsII2ejNhs1kwNrZ9QiHwzF9NKVQUKVSnoSUwXxzXk5b6lNFzly9ZAws2dgHnOnd/u6XTlxYM5z1GJ0OKLIpv/kmiGxHaD1iWlYm4+EeWWzFgzPGoeOEF3lGPQw6HT481IXFW1rgDZ6qg0LRVNpA7H6FLTLQGwxhd4cLN19QhcoMpTel4nWPRw7jDynZBEHkJEzP3gde3xNpORFthV0gsRVWKuWptMCEptpSVgHYFLWBIUt9csiZq5eMgSXb+oAf9/hhMRpi+mHHo9PpUFVio+eVIDKA0Hp00NmLm371UeQ1sR5ug06HWzZ9EjFWt7R3xyjYTRRNpRnE7lfc3iD8/SE8MGMcBsNheAOhjHmuGVL1ukcjl/GHlGyCIHIOxuo5d8rohJ6OTCj2+vda8e6SqZL1xhZSniwmg+hWEnyFz4jUkSsCIBkDSzZVvz3i8sHpCaDAauDth11bVoAKDRZ0IwgtIrQeMekdDGJTmqLXrvhe1MXWPIwpK9BcW75s6/IgFjHGXj7vcSbvUTped0DeVDpSsgmCyCmirZ6zL6jiPVbK0Fyh4jBv7j6K3R0uQY+BUOGzNxY15sQmQC7kiABIxjudLdVvj3v8WPrKZ1g4rRZGA6DXIaEf9nGPHwVmI4aZaStCEJkimWrgDGJSmuLXLqZuCLN2aU3BzrYuD8kgZOwtsBhxz/9+xuo9Xvrqbjw5a0LGfu9kjNiZTqUjyUYQRFbCZYGOtnpmsqcjl/IUXRzGGwwJegyECp9pMWc320nWO631nHrGg93c2oV7rzybcrEJQkUkWw2cQYxs0fraxZCNXR6SQcjY2xcY4PQeN59MOQgNhjNijEg2xSqTqXSkZBMEkXVwWaAfnlmHrr5g5DW+no6NDjsKLNIukcwG5Kjbj0OdfREPdHRxGCGPQbbl7OYCqXintZpTz/TEjk5dYHpjx6MDUFFo0eR1EoRW4VqPmmpLMWfK6IRq4AxiZYtW165osrHLQ7LwGUxa2rt5P+vy9UeMEQBkDblXc4oVKdkEQWQFjOc6FA7jkTf2JuRaf3CgE8tf34O7Ljsz8hpXT8cGhx1zG2rQFxiQfJxFNhMOdfZhwW8/5TyGz2OgZoFCcJMtHh4hjnn8aG7txL1XngUAeH+/k7s3dlUJiqxkFCKITMO2HllNBjz4+p6YYmUMchid1YzbF+R9P1cixrgMJmJSDj440IljHj9W/XmfrCH3ak6x4o+V1BDPPvssampqYLFYcP7556O5uVnpIREEkSGOuHxYtKUFlz61DR0nvAkKNsOO1i6YjHo0OOwATlUTr68qwUtzJuGlOZPwyg+/jfqqEize0gKPTx5Bmo43mhEoF9WWxryuBoFC8FNkM2FMWQEmVpVgTFlB1v1WTMV+BqaiuL9/EJeNLUf9qOJIDYH2E16UWPOy7h4QhFaIX4/8/SHMnlwdkY8Mchqd1cgRlw/+/kHeY3I9Yowx9rMRnXLwdbePM+Te7eU3ZCQDYzR6d8lUvL5gCt5dMhXrZtdnrIUYF1lhlvr973+PO++8E88++ywaGhrw/PPPY/r06fjiiy9QVcVf2IggCG0TnzvFFFXi4qjbj3kNNQCGlG4mv5nJjf6vDR9HLPlyCdJ0vdG54hUltIWzJwDryZ7Y7+938lYUrzutSHOFkAgim3H7+hOqgkenNG2+dbLSQ5QdZj8xYVQxZyoZRYydMvbHp+VF15jhQ46QezWmKWSFkv3UU0/hlltuwa233goAePrpp/HXv/4Vzz33HNasWaPw6AiCkJP43CmhYmZGvQ53nNxI3HXZmXCf9FbH50bLKUilCG9So0AhchuXrx/mk5EiTE/s+Irizp4AzqksJAWbIFRGoSWPt6hmLnhvmf3ErsPdrKlk1Ov7FCOLrXhy1gQcdPZG1v7ofVRTbSlnET0gN0LuNa9kB4NB7Nq1C/fff3/M61dccQV27tzJ+plAIIBAIBD52+PxyDpGgiCESXVexrdv4CtmxoQxMRuJDdvb8NbiJjz0x88znstD3mhCCyQzL/NNBryz7zh5sAlCZuTYx1K9j1P7CSaVLN6rXzXcpngIspooL7QgNBhmdRg8PLMOV63lTt3NBaON5pXszs5OhEIhlJeXx7xeXl6OY8eOsX5mzZo1WLlyZSaGRxCESFKdl/H5zXzFzOLDmCZVl6DElqeYskveaELtJDMv803GSCXxBA+2x4/asgJSsAlCAuTYx6q5gFSmiN5PsHn1310yNdNDUj1cDgNgaI+Vy0YbzSvZDDqdLubvcDic8BrDsmXLsGTJksjfHo8Ho0aNknV8BEHwk+q8jLe+R1ugF17sgCXPgHyzAZ+2J4aDR28ccmEDQRDJksy8LLbl4QcXjcELHxykSuIEISNy7WNzPcKKvPmpweUwyHWjjeaV7NLSUhgMhgSvtdPpTPBuM5jNZpjN5kwMjyAIkaQ6L9ms795gCLs7XLj5gqpIaFdFoQUXjB6ekxsHgkiVZOZlkc2E6uE2XD6uAmXDzDGVxMeU5tN8IwiJkHMfm8sRVuTNl5ZcN9poXsk2mUw4//zz8c477+C6666LvP7OO+9g5syZCo6MIIhMIWYhz+WNA0FkispiK66qq4iZi5OqS2juEQShCXJdMZSaXN57aV7JBoAlS5bg//v//j9MmjQJ3/72t/HCCy+gvb0dP/zhD5UeGkEQGSKXF3KCUBM0FwmC0DK0hhFSkBVK9ve+9z10dXXh4YcfxtGjR1FXV4e33noL1dXVSg+NIAiCIAiCIAiCyCGyQskGgAULFmDBggVKD4MgCIIgCIIgCILIYfRKD4AgCIIgCIIgCIIgsoWs8WSnQzgcBjDUAoGP3t5eAID760MYHAhJ8t29zn8PffexryStFCnHebU0VrnOS2MFeo4dHjp/b6/gnAGAYcOGcbbT40PsvCQIInloXhKE+qB5SRDqI9V5qQszMzOH+frrr6lPNkHIhNvtRmFhYdKfo3lJEPJB85Ig1AfNS4JQH6nOS1KyAQwODuLIkSO8lgqPx4NRo0aho6MjpRutNFofP0DXoBaSvYZULYBi5qUQ2XC/MwXdK/Fkw71Scl5qnWz4/ZWE7h83cs3LbLjn2XANAF2HmhB7DanOSwoXB6DX63H66aeLOrawsFCzDxOg/fEDdA1qQe5rSGZeCpEN9ztT0L0STy7eKynnpdbJxd9fSuj+SYfYeZkN9zwbrgGg61ATcl0DFT4jCIIgCIIgCIIgCIkgJZsgCIIgCIIgCIIgJIKUbJGYzWb89Kc/lbRKcybR+vgBuga1oKVr0NJYlYbulXjoXuU29PunB92/zJMN9zwbrgGg61ATcl8DFT4jCIIgCIIgCIIgCIkgTzZBEARBEARBEARBSAQp2QRBEARBEARBEAQhEaRkEwRBEARBEARBEIREkJJNEARBEARBEARBEBJBSjZBEARBEARBEARBSAQp2QDC4TA8Hg+o0DpBqAealwShPmheEoT6oHlJEOqDlGwAPT09KCoqQk9Pj9JDIQjiJDQvCUJ90LwkCPVB85Ig1Acp2QRBEARBEARBEAQhEaRkEwRBEARBEARBEIREkJJNEARBEARBEARBEBJBSjZBEARBEARBEARBSITqlezRo0dDp9Ml/Fu4cCGAoYqKK1aswMiRI2G1WnHxxRdj7969Co+aIAiCIAiCIAiCyEWMSg9AiH/84x8IhUKRvz///HNcfvnlmDVrFgDg8ccfx1NPPYWNGzfizDPPxKpVq3D55Zdj//79GDZsmFLD1ixubxCdvUF4/P0otOahNN+EIpsp5eMIgiAIQmuwyTgAJPcIgpAdZv1x+4KwmY3Q63Qw6nWw05qjKVSvZI8YMSLm70cffRRjxozB1KlTEQ6H8fTTT2P58uW4/vrrAQCbNm1CeXk5Nm/ejNtvv12JIWuWIy4flr66G80HOiOvXVRbikdvOBcji61JH0cQBEEQWiNextlMBmyY+y08814rmltJ7hEEIR9se+wGhx3zGmqw5q19WDmzjtYcjaD6cPFogsEgfvOb32D+/PnQ6XRoa2vDsWPHcMUVV0SOMZvNmDp1Knbu3KngSLWH2xtMmNQA8MGBTtz/6m64vcGkjiMIgiAIrcEm4+Y31mDdewdiFGyA5B5BENLCtcfe0dqFl3e04azKQlpzNITqPdnRvP7663C5XJg7dy4A4NixYwCA8vLymOPKy8tx+PBhzvMEAgEEAoHI3x6PR/rBaozO3mDCpGb44EAnOnuDKLKZRB9HEMmSK/Oyvb0dnZ3scyhVSktLUVVVJek5CQLInXnJwCbj6kcVY/17razHk9wjlCDX5mWuwLfH3tHahfkNNVj/XiutORpBU0r2Sy+9hOnTp2PkyJExr+t0upi/w+FwwmvRrFmzBitXrpRljFrE7Q3ihIBVrMffDwDwnPyv0HEEkSy5MC/b29tx9tlj4fN5JT2v1WrDl1/uI0WbkJxcmJcMXLIwMDDI+zmSe0SmyaV5qSXSrVcktMdm1iJac7SBZpTsw4cPY+vWrfjDH/4Qea2iogLAkEe7srIy8rrT6UzwbkezbNkyLFmyJPK3x+PBqFGjZBi1+mFyP+ZOGc173DBLHgCg8OR/hY4jiGTJhXnZ2dkJn8+LyfN/isLK0ZKc03P0K3y0YSU6OztJySYkJxfmJcAvC81G/sw6kntEpsmVeaklpKhXJLTHZtYiWnO0gWaU7JdffhllZWW4+uqrI6/V1NSgoqIC77zzDurr6wEM5W1v27YNjz32GOe5zGYzzGaz7GNWO9G5HxNGFaPBYceO1q6E4y6qLUVpwZAlrrTAhItqS/EBSzhL9HEEkSy5NC8LK0djeNVZSg+DIATJhXkpJAtbOlyi5CNBZIpcmJdaQqhe0brZ9aI82nx77AaHHS0dLlpzNIQmlOzBwUG8/PLLmDNnDozGU0PW6XS48847sXr1atTW1qK2tharV6+GzWbDTTfdpOCItUF07seG7W1YO3vIUBG9kbiothSP3XAuimwmuL1BdPUF8dNrzsGKP+1NsNYxx6WCFC3BqK0YQRAEkSx8stBmMiDPoMPK756DlW9+kZbc45JRJLsIQlvEz1mjToddh7tjjrGZDJjfWIP6UcX4l7MXw/NNgnO7yGbCYzeci7/96xuUDTMjMDAIS54Bx9w+VBZZsfmjw2nttYnMogkle+vWrWhvb8f8+fMT3rvvvvvg8/mwYMECdHd3Y/LkyXj77bepR7YIonM/vMEQFm9pwfzGGsxvqEFgYBCj7TacVmxFkc0UEwbDLBw/mjoG5jw9iq0mlBakvimQIsSG2ooRBEEQqcAlC29rPAOVxRasevMLPL/tEOY31kTCyU8vsaKi0CJa7rHJqMvHluHBGeOw/PXPSXYRhEZgm8tNtaVYO7sei7e0wBsMwWYyYO3sery8oy2maKKYuR0G8NbuozHdDJpqS/HIzDo8OWsCKdgaQhcOh8NKD0JpPB4PioqK4Ha7UVhYqPRwMsZBZy8ufWob5/vvLpmKMWUFcHuDWLSlhbXi4UW1paLDYNiQ4txyjo9Qjmycl59++inOP/98XL78ZcnCxU+078c7P5uHXbt24bzzzpPknATBRTbOSy5ZuOgSB1rauznDxMXKFi4ZJdX5CSIb56Ua4dtvNjjsqK8qwfr3WlOe27SfzS401SebkBYm94ON6JwPMW27UkWKc8s5PoIgCCK74ZKF9aOKWTfJQHKyhUtGSXV+giAyg1CLrfpRxQBSn9u0n80uNBEurhW0lldVZDPh0RvOxf2v7o4psnD52DKsuOYcdPYGcaizDwOD/MEOYloJcN2bVFqCxZ/L7RPXfowgCIJQDrXKSC5ZyNMJFECibElWzgVD1BqMyD7UOs/Tgbmmrj5xSq7Ytn+p7mez8R5nI6RkS4RWc4JHFluxbnY9OnuD6Dk5WU0GPe7/w57Itbw0ZxLvOYRaCfDdm2RbgrGda/Otk9MaH0EQBCEvapeRbLKwX0AJjpYtyco5m8mA00v4r5tkF6E11D7PUyH6moT2w1XDbXh3yVQEBkK8xw2z5KW0ny20sn9O6/c4W6FwcQkQKt3v9qo7vKPIZsKYsgJMrCqBPd+EZa/tibkWpn0JG0KtBITuTYHFKCpkne9cOw91oTHF8REEQRDyohUZGS8LP20XJ/tSkXPzG2uw52t3yrKVINSGVuZ5MsRfk9B+uGyYGWPKCnBasZV3b1tgMaa0n803s39Oy/c4myElWwKyKYeC7Vo2bG/DvIaahIVFTPsSoXvTFxjAozecm7AYsZ2b61wbtrdhbkMNmkScgyAIgsgsWpSRnb1BPPLmF6yyr8Fhx8Mz6yKyJRU5Vz+qGKv+vE/U+QlCC2hxngsRf01i98NMCgrX3rYvMJDSfrbXz/45QLv3OJuhcHEJSCWvWK2wXUt0S5PlV41FcGAQwyx5otp2Cd0bj68fZ4woiAnT4zo327mYdmJGnQ4PXD0WJoMevv4Q+oIhFFvzYDMZRFw1QRAEIRdalJEefz9ra0uzUY+WDhc8viCA/MixvOdikXP9g2F4gyGs/NNePHPzeTAa9OjxnQpT9wZOnZ8gtIAW57kQ8dcUvyYMs+TBns/exnZksRVPzJqA7r4gPP4BFFmNGGbJg68/hM7eIDbM/RY+be/Ghu1t8AZDMef/48IG6HW6hD1xS3tsL+54tHiPsxlSsiUg2bxiNcN1Ld5gCOvfa8V1E0/DuJFFaZ+Pgbk3RTZhhT3+XNF9CDdsb4v8f3RFR8pTIQiCUBYtykhmzIzsi+e6iaclHMsFm5w76OxFaYEJv5rzLTz85t4YudXosGPVtePTvgaCyCRanOdCsF1T9JrAtLplgy13utFhx9yGmkg/7QaHPaa/NnN+vU7Het5svMfZDIWLS4DYVlhaQOprkfJ88eea31gTUaqj/z8aylMhCIJQFi3KyGTGnMr1lRaYsP6m8xIUbADY3tqFB17fg+MefxpXQBCZRYvzXIhUr4krP317axde3tGG+Y01AIbafkX/LXTebLzH2Qwp2RIglHuhpbwqqa9FyvPFnyu6DyH1GyUIglAnWpSRyYw5lesrsplQZM3jlFvbW7vQLbJdEEGoAS3OcyFSvSax/bTj/xY6bzbe42yGwsUlIr79h9icZSmQul+e1Nci5fmizxXdr5DpScjkaNePKkZgYBCWPAM+be9GX4DyVAiCIJRCizIymTGncn09/gFOmbVhexs8/oG0rpsgMo2S8zwZklkTUrkmofz0wMBgzNwvMBvxf3c2ocRmQnmhhfezWrnHBCnZkiImr1hq5OqXJ/W1SHm+yLmcvZHXzEZ9TI52dA5dg8OO/zjvdEm+myAIgkgNLcrIZMac7PUVWY2cMmvt7HoUWWmLRmgPJeZ5MqSyJiR7TUK507Y89v2q2LVJ7feYGILCxTVMNvYkTIbo3JSWDhceuHosa172jtYuPPTHz7P+fhAEQRCnULuMHGbJ45RZG3e0UREjgpCYTK0JfLnTDQ47QuEw1RHKAUjJ1jDZ2JMwGaJzUzZsb8P404soL5sgCIIAoH4Z6QuGeHOyfSerDRMEIQ2ZWhO4cqcbHXbMa6iBTqej/WoOQLFIEiB1TrRYsrEnYbJw5WizkQv3gyAIQq1kWlaqXUaqfXxEdqPU3lVJMjnn2HKnCyxG9AUGBJVomvvZASnZaSJXTrQYqF/eEGw52mzkyv0gCIJQG0rISrXLSLWPj8helNy7Kkmm5xxX7nQ4TPvVXIDCxdNA6Xwv6pcXC90PgiAI9aGUrFS7TFD7+IjsROm9q5KoZc6pZRyEvJCSnQZK53tRv7xY6H4QBEGoD6VkpdplgtrHR2QnSu9dlUQtc04t4yDkhcLF00AN+VRy98vTWs4O3/3Q2rUQBEFkA0rKSilkpJyyI3p8fYF+FFlNCIYGcczjh7c/RHKKkBw17F2VRA1rgtsbhL8/hAdmjMNgOAxvIIQiK/W7zjZIyU4DteRTydUvT6s5O2z3Q6vXQhAEoXWUlpXpyMhMyA5mfCSniEyg9HxUA0quCXyfJwU7u6Bw8TTI5pyKbMrZyaZrIQiC0BpalZWZlB0kp4hModX5qAbSnac0z3MLUrLTIJtzKrIpZyebroUgCEJraFVWZlJ2kJwiMoVW56MaSHee0jzPLShcPE3kzolWimzK2cmmayEIgtAiWpSVmZQdJKeITKLF+agG0p2nNM9zC1KyJUCunGglyaacnWy6FoIgCK2iNVmZSdlBcorINFqbj2og3XlK8zy3oHBxgpVsytnJpmshCIIgMkMmZQfJKYJQP+nOU5rnuQUp2QQr2ZSzk03XQhAEQWSGTMoOklMEoX7Snac0z3MLChcnOMmmnJ1suhaCIAgiM2RSdpCcIgj1k+48pXmeO5CSTfCSTTk72XQtBEEQRGbIpOwgOUUQ6ifdeUrzPDegcHGCIAiCIAiCIAiCkAjVK9n//ve/8f3vfx92ux02mw0TJ07Erl27Iu+Hw2GsWLECI0eOhNVqxcUXX4y9e/cqOGLpcHuDOOjsRUt7Nw5+06vKJvVubxCHO/vwxRE3/vHVCRw43qPKcRIEQRDZgZKy8bjHjy+PevBx2wl8ecyD4x5/xr6bIORAC3tNrZPqPabfRtuoOly8u7sbDQ0NmDZtGv7yl7+grKwMBw8eRHFxceSYxx9/HE899RQ2btyIM888E6tWrcLll1+O/fv3Y9iwYcoNPk2OuHxY+urumKb1F9WW4tEbzsXIYquCIzvFUZcPh094se69A9jR2hV5velkAQe1jJMgCILIDpSUje1dfVj22p4YedfosGP1deNRZc+X9bsJQg60sNfUOqneY/pttI+qPdmPPfYYRo0ahZdffhkXXHABRo8ejUsvvRRjxowBMOTFfvrpp7F8+XJcf/31qKurw6ZNm+D1erF582aFR586bm8wYWIBwAcHOnH/q7tVYclye4P427++SVCwAaBZReMkCIIgsgMlZeNxjz9BwQaA7a1d+Mlre8ijTWgOLew1tU6q95h+m+xA1Ur2n/70J0yaNAmzZs1CWVkZ6uvr8eKLL0beb2trw7Fjx3DFFVdEXjObzZg6dSp27tzJed5AIACPxxPzT0109gYTJhbDBwc60dmr/OTq7A2ibJg5YcPBoJZxEtpB7fOSIHIRNc1LJWVjd1+QU95tb+1Cdx/JOyJzSDEvtbDX1Dqp3mP6bbIDVYeLHzp0CM899xyWLFmCn/zkJ/j444+xePFimM1m/Nd//ReOHTsGACgvL4/5XHl5OQ4fPsx53jVr1mDlypWyjj0dPP5+3vd7BN4Xwu0NorM3CI+/H4XWPJTmJ1/l0OPvR2BgEABgMxkwv7EG9aOKERgYhCXPgE/bu9EXSG+cSiPFfVIaLV2D2uclQeQiapqXcslGMeukxz/Ae47ewEBG11s1re1qGkuuIMW8THc+cf3u9DycujddfUFsmPstfNrejQ3b2+ANhmKO47rHYn8butfqRtVK9uDgICZNmoTVq1cDAOrr67F3714899xz+K//+q/IcTqdLuZz4XA44bVoli1bhiVLlkT+9ng8GDVqlMSjT51CSx7v+8ME3udDqhyPQkseTvQFYTMZsHZ2PV7e0Yb177VG3m9w2PEf552e8jiVJhtyYbR2DWqflwSRi6hpXsohG8Wuk4UW7u2SzWSAPd+ERVtaMrLeqmltV9NYcgkp5mU684ntd798bBkenDEOy1//PKefB7Z70+CwY+3seize0hKjaHPdYzG/Dc099aPqcPHKykqMGzcu5rWxY8eivb0dAFBRUQEAEY82g9PpTPBuR2M2m1FYWBjzT02UFphwUW0p63sX1ZaitCA1K5WUOR6lBSY4ewJ44OqxeHlHW0IY3Y7WLjz0x881mTeSDbkwWrwGtc9LgshF1DQvpZaNyayTJfkmNDrsrOd58OqxeOiPezOy3qppbVfTWHINKeZlqvOJ63c/q7IQy17bk9PPA9e92dHahZd3tGF+Y03kNb57LPTbFFiMNPc0gKqV7IaGBuzfvz/mtX/961+orq4GANTU1KCiogLvvPNO5P1gMIht27ZhypQpGR2rlBTZTHj0hnMTJthFJ6t2pxoKImWOR5HNhIvPHIEJpxdnXV52NuTCZMM1EARBRCO1bExmnSwvtGD1deMTFO1Ghx3nVZeguTUz662a1nY1jYVInlTnE9fvXj8q+/aDycI3J3a0dqF+VDEA4Xss9Nv0BQZo7mkAVYeL33XXXZgyZQpWr16NG2+8ER9//DFeeOEFvPDCCwCGwsTvvPNOrF69GrW1taitrcXq1aths9lw0003KTZuKXIkRhZbsW52PTp7g+jx92OYJQ+lBenlWkidz1ZZbMVRt0/Sc6oBuXPiM4Hbx7/AauEaCILITtKRkVLKxmTX+ip7Pn5+40R09wXh8Q+g0GJESb4JR1yZk4NKyCeu3ysbZGWuk8p84vrdmTo9XLgE9iXZgNCcGGbJw7tLpopas/h+m5b2bt7P0txTB6pWsr/1rW/htddew7Jly/Dwww+jpqYGTz/9NG6++ebIMffddx98Ph8WLFiA7u5uTJ48GW+//bZiPbKlzJEosklbwECOfLYiK//40skfVwo5c+IzwRGXD/5+fmGn9msgCCI7kUJGSiUbU1nrywstKC+0xLzWK1AUTcr1NtPyie/30rqsJIZIdj5x/e5mI39wrL9/EO1dfVndU15oTtjzTRhTViD6fFy/Dc09baDqcHEAmDFjBvbs2QO/3499+/bhtttui3lfp9NhxYoVOHr0KPx+P7Zt24a6ujpFxqr2/CQ5cr3lyh9XEi1fE/MM7jzUhQaO/EG1XwNBENmJ2mSkVGt9JmVGJr9L6PcqsBg1KyuJ1OF6Bls6XJx1Cxocdnx4KPt7ymdqfmp5n5pLqF7J1hJqz0+SI9dbrvxxJdHyNTHP4IbtbZjXUJOgaDdp4BoIgshO1CYjpVrrMykzMvldQr9XX2BAs7KSSB2uZ3D/UQ9WXzceTXGvNzjsmNdQgw3b27K+p3ym5qeW96m5hKrDxbWGFvKT5Mj15junVnv4JXuf1HKdzDPoDYaweEsL5jfWYH5DDQIDgzAb9agabkMltXYgCEIB1CgjpZKJI4uteGLWhFP52lYjSmymhNByuccspSwS+r08vn6cMaJA8j0FoQzJPDt8z+Dyq8bi3y5fZN/R0uGKaV0l1HNe64hZU9Rau4mQFlKyJUQrORJS53pznVPrPfzE3ic1XWf0M+gNhmJ6lwPAu0umZnQ8BEEQDGqVkVLIxEzLgUzIXLG/lxx7CiKzpPLs8P3ut2z6hPO7+HrOZwt890bNtZsIaaFwcQmhHIlTqC33Ti7Udp30DBIEoVaydX1SgxyQYwzZ+nsRsUj97PD1lG902FGSn7vPjRrWCiJzkJItIZQjcQq15d7Jhdquk55BgiDUSrauT2qQA3KMIVt/LyIWqZ8dvp7yq68bL0sKhVZQw1pBZI7sj9nIMJQjMYQac+/kQK7rVEsfWYIgCCnJxvVJDfJOaAx9gf6U5Eo2/l5ELHI8v1w95dWiYCtVR0cNawWROUjJlgHKkVBv7p3UyHGdauojSxAEITXZtj6pQd7xjcFmMqDQasKiLS0pyZVs+72IWOR6ftl6yqsBJevoqGGtIDIHhYsTspAruVxSXyfl6xAEQWgLNcg7vjE8OGMcHnz9c5IrBCtqeH4zhdJ7rFy61wQp2YRM5Eoul9TXSfk6BEEQ2kIN8o5vDOdVFaO5leQKwY4ant9MofQeK5fuNUHh4oSMZGP/bDakzFmjfB2CIAjtwSUHAOCgszcjso5rDIc6+3g/R3KFyJXcezXssdK519m0d84FSMkmZCUb+2ezIVXOGuXrEARBaJN4OaCErGOTRYUWfu8cyRUCyI3ce7XssVK519m4d852KFycyChK58OoHcrXIQiC0D5qknUkVwhiCK3OBTWtJ4R4SMkmMorS+TBqh/J1CIIgtI+aZB3JFYIYQqtzQU3rCSEeChdXAWrNsZBjXGrsK602MpUblU33rL29HZ2d7AIoVUpLS1FVVSXpOQmCSB4l16pUvzsZWZeJ61Nbzm02yR8iFil/WzmeEznnglzPtdB64vZRXQU1Qkq2wqg1x0Kucam1r7TakDs3KpvuWXt7O84+eyx8Pq+k57Vabfjyy32kaBOEgii5VqXz3WJlXSavTy05t9kkf4hYpPxt5XxO5JgLco5XaD3x94dwxOWj+aMySMlWEKEci3Wz6xURiHKOi8mH+YAl7EWOvtJK3UM1k233rLOzEz6fF5Pn/xSFlaMlOafn6Ff4aMNKdHZ2kpJNEAqh5FqV7neLkXXZthaLIRevOVeQ8rfV2nMi93j51pMGhx07D3Xhl9sOqu6+5DqkZCuImBwLJSaLnONi8mHuf3V3zGIhZ19pWnBiydZ7Vlg5GsOrzlJ6GARBSISSa1W63y1G1h109mblWsxHtsofQtrfVmvPidzjZdaTeEW+wWHHvIYaLN7SAm8wpLr7kuuQkq0gYnO2MpW7xHxPVx9/AYV0+whSX2lloXtGEIQWUFJGun3py0EhWZeLa3EuXrPakWr+SPnbau05ycR4RxZb8eCMceg44UVgYBBmox4tHa6Igi3V9xDSQUq2ggjlWBRa8zKWuxT9PS/NmcR7rBR9BKmvtHLQPSMIQgsoJSOPuHzw9w/yHiN2neSTdbm4FufiNasZKeePlL+t1p6TTI3XoNPhlk2fyP49hDRQCy8FEerXl282ZqQvXnwuSUuHCw0OO+e41NRHUKs9D5WE7hlBEFpACRnJyMOdh7pkl4O5uBbn4jWrFal7L0v522rtOSmwGNHIsV40OuwosEjj09Tafcl1SMnOIG5vEAedvWhp78bBb3oBgLdfX69/ICN98eJzSTZsb8O8hpqEDYYa+whqteehXMQ/Y2xCku4ZQRBqgmvdElqr5JCRjDzkkoNNEq6TWlmLxcgVsWjlmnMBOXovL796LF6aMwkb5n4Liy5xwGYypPTbJvucSPmMpkJfYABzWdaLBocdcxtq0BcYkOR7aP5oCwoXzxBcITmP3XAuZ85WS3s37zmlyr2IzyXxBkNYvKUF8xtrML+hBsMsebDnmxTtqcmH2vp/KkUyYV90zwiCUANC6xbfWiWHjGTkYbwcZHIgq4bbUClhqpba12I5wvHVfs25gpR5xGzPSVNtKd5a3IQSW15Kv63Y50QNLeHcvn7W9YLJmd5862TJvovmj3YgJTsD8IXkLD1Z2n9MWUHC5zKV48H2Pd5gCOvfawUAvLtkKuv41IRa+n8qRSrtI3L9nhEEoSxi1y2utUoOGRl9zmg5yPDukqlJn1MIta7FcrYlUus15xJSzR+u56T5QCce+uPnWDe7PuUxCj0namn1VWjJY10vGKTOlab5ow0oXDwDpBqSk6ncC8rx0D5yhH0RBEHISbrrlhyyi+ThKUiuZDdSPetKPidqeUZp3SDYICU7A6QakpOJ3Au3d6hl10+vOQdNOZLjoXTujhxord0FQRBEuuuW1DJSjfJQSXlFciW7kWr+KPmcKPXdbDWWHhNxL7Nx/0lwQ+HiGSCdkBw5cy+i81hsJgPmN9bgR1PHwJynR7FVvTnY6aCG3B050Fq7C4IgCCnWLalkpBrlodLyiuRK9iPF/FHyOVHiu/nmJd+9VHo+E5mHPNkZIN0wkiKbCWPKCjCxqgRjygok82BHT3Yml+SmX32E/956ICsVbKnbVagJClUiCEJrSLVupSsj1SgP1SCvSK7kBunOHyWfk0x/t9C8BMB6L9Uwn4nMQ0p2BlBjyX215LFkkmy+ZjU+YwRBEHyoZd1So2xQw5jU8vsQ6kbJ5yTT353qvFTDfCYyj6rDxVesWIGVK1fGvFZeXo5jx44BAMLhMFauXIkXXngB3d3dmDx5Mp555hmcc845SgyXFyVK7ru9QXT2BuHx96PQmofS/FPf5/bxT+hM5lrxjVNKmNwdJhSwflQxAgODsOQZ8Gl7N/oC6s0vE3OPqK0DQRBaQ2nZWGTNg0tmeZiKjPP4+zll1YbtbbLmmsaPleQKIUSm5jHb85nJNUQoB/yEN4j+Yx54AwMospkicz3Z3PH4NSrfbESvf0D2fTIhLapWsgHgnHPOwdatWyN/GwyGyP8//vjjeOqpp7Bx40aceeaZWLVqFS6//HLs378fw4YNU2K4vGSy5D5fX+4wAH//IO/nM5VrlckclUJLHmwmA9bOrsfLO9piWi00OOz4j/NOl/T7pCKZe0RtHQiC0BpKyUZGHljzDLyfSUcepirjiqx5nLJq7ex6FFozm2uq9jaehPLIPY+F5lKmWnXxERwYxJVPN0f+ZsZXJDBfo9cYtjXq5R1t2NHalXBeyuVWN6oPFzcajaioqIj8GzFiBIAhL/bTTz+N5cuX4/rrr0ddXR02bdoEr9eLzZs3KzxqZeHL/fjbv77B0ld2Y+ehLjQ47Kyfz1SuVaZzVEoLTHhwxriExQoAdrR24aE/fq66vBjK4yEIgpCG+PV0fmMNXt7Rhg9lkofprN/5ZiOnrNq4ow35Zml9JCRrCDWjlueTLwe80WHHh4di5yszvnyzUVTuONcaFb8O0LzUBqpXsg8cOICRI0eipqYG//mf/4lDhw4BANra2nDs2DFcccUVkWPNZjOmTp2KnTt38p4zEAjA4/HE/Msm+HI/yoaZ0dzaiQ3b2zCvoSZhY9GUwVyrTOeoFNlMOK+qOGGxkvM70yWX8niyfV4ShBbJpnkZv57WjxqSB3LJw3TW717/AKes2t7ahV7/QEpj4iKXZE02kE3zUgxqeT65csCbHKWY21CDDdvbWMfX6x8QlTvOtUaxQfNS/ag6XHzy5Mn4n//5H5x55pk4fvw4Vq1ahSlTpmDv3r2RvOzy8vKYz5SXl+Pw4cO8512zZk1CrrcWEJvXFZ9vHZ3XZTMN/eTeYAiLt7RgfmMN5jfUIDAwCLNRj6rhNlRKFH4iNN5U+hsy5+wN9KPYZkJwYBC9gQHROSp9Af6Nidr6fuZSn1KtzkuCyGa0MC9TlY3B0FDalFTyMH4cQrVPfMF+HPf40d0XhMc/gCKbEcPMefAFQ+jqy2zdlFySNdmAmuelHHV2hJ7Prr4g8E2v7LnKbm8Q/v4QHpgxDoPhMHr8A+jxD6DEloebf/URvMFQ5NjovXdXXxB2nQlPzJqAvsAAPL6h3PECixF9gQG0tHej0JqHUDgMm8kAbzAEm8mAPAO/LzRT102khqqV7OnTp0f+f/z48fj2t7+NMWPGYNOmTbjwwgsBADqdLuYz4XA44bV4li1bhiVLlkT+9ng8GDVqlIQjlx6xeV1HXL6YfOv4HOSX5kyKvMe0KYnm3SVTMzbeZPsbMufcdbgba2fX4/G/7k8qRyX+3oj5TqXJpT6lWpyXRGq0t7ejs5PdK5EqpaWlqKqqkvSchPrnZTqy8fSSU++nKw/ZxrH51smcx5cWmFBgMWHJ//sndrR2RcnqL7CjtStGVrMh9dqfS7ImG1DrvJSrzo7Q89nj78eNz38oa64y27U11ZZizpTR6Pb2JyjYbDUVmPGdMaIAR1w+3PO/nyWcb+3setz/6m48esO5MOj59ZlMXDeROqpWsuPJz8/H+PHjceDAAVx77bUAgGPHjqGysjJyjNPpTPBux2M2m2E2m+UcqqQI5aKsm12PIpspctyEUcVocNixo7UrIZ+jpcMVeS8eqXKxxY6XyW35gCUEKH4s0edcdImDN0eFOT/bmKLvjdB3qoFk7pHW0dq8JFKjvb0dZ589Fj6fV9LzWq02fPnlPlK0JUbN8zJd2bjna7ck8oBrHDsPdaHRYcd2lvOvv+k8LH99T+S7lZDV0eSSrMkG1Dgvxc7HVOB7PhscdrR0uCT7Lja4rq35QCfC4XAk3YRrPjMw43ti1gTe8z12w7nYsKMN9VUlnOtAJq6bSA9NKdmBQAD79u1DU1MTampqUFFRgXfeeQf19fUAgGAwiG3btuGxxx5TeKTSIiYXpchmihzHeHqBoXyOaCvahu1tkffivcBS5WKLHS+T23L/q7tjFk62sUSfM/6auM7PNqboexN9/ZnMRU+GZO4RQWiBzs5O+HxeTJ7/UxRWjpbknJ6jX+GjDSvR2dlJSnYOka5svGNLC6s8aHDY8fDMOtHrK9c4GHmr0+kSPHtF1ryY71RCVkdDsoZIF7HzMRW4ns8Ghx3zGmqweEuLZN/FBt+1bW/twqJpDsxrqAEwNF+F9qndffznWzZ9LHa0dqGl3cW5RmXiuon0ULWSfc899+C73/0uqqqq4HQ6sWrVKng8HsyZMwc6nQ533nknVq9ejdraWtTW1mL16tWw2Wy46aablB66pIjNlWLyv6Lzy/JNsT9xfO7ZMEse7PkmSXsK8o3XZjJgMBzGQWdvpP/fE7MmoNc/gL5AP4qsJgRDgzjm8cPbH0Jp/tCYTkRVUAwM8Id8s+WOMWPKRC56NFLkJlH/ayIbKawcjeFVZyk9DELDiJWNbOt/vsnIKQ9aOlzw+IIA8kWPg6un9f2v7saW2y6EXqeLyLj+wUGciMu5jpdrUsnqZGQQyRoiHeTO649+Prv6hp7Rlg4XFm9piQnVTua7omsiFFqNKLGZUF5oSThOqG+9yWjAmEILfnZtHXz9g/D4BO5FYCCSe81G38nX49cBm8kIb3Ag7esmMoOqleyvv/4as2fPRmdnJ0aMGIELL7wQf//731FdXQ0AuO++++Dz+bBgwQJ0d3dj8uTJePvtt1XZIzsdhHJRCq15CflmTH5Z/ajihOOjc8/eXTJV8v6XXONlclQefmMvmlks81aTISZ8xmYyYMPcb+GZ91oxt2F05Hizkb8QBFvuWPSY5MxFj0bK3CTqf00QBBGL2DxitvWfkY1s8gAArpt4muhx8PW0ZvIqmRzMh/74Of7zgipUxm3k2eRaurI6FRlEsoZIlUzk9UeeT2cvbnz+w7S+q72rD8te2xPjIW502LH6uvGossca2IT61pfY8mDOO7WHFaqp0D8wiLWz61kVZQAotJxSz6LXgZfmTMItmz7hPC/VTlAXqlayf/e73/G+r9PpsGLFCqxYsSIzA1IIoVypfLMR9/zvZ6z5xpnO6+IbL1+Oyt/+9Q3e2n0Uza2dMceve+8AdrR2YULVqWtL5ZoynW8mZ24SQbCxb98+yc9JxcQINSN2XS+wGBNyo6WUjXw9rXUAfn7jxJi88Jd3tGF+Q03MmKSW1SSDiEyTyX1Wut913ONPULCBoVDtn7y2Bz+/cWKMR1tojj/+H7E51nzzucFhx85DXfhnezfmN9YkGPkuqi1FST779bV0uDjrPFDtBPWhaiWbGEIoV6rXP8CZb7xhexs2zP0W9Cw5YXLlWXGNd8oZds4cFaZ/dzTROS3R+Wmp5KplOt9MztwkgojG5+4CoMP3v/99yc9NxcQINSN2Xe8LDGBuQw3CiJWNL82ZBD10MbInFZkgpqd1L4aKGs2dMhrr32vF/mM9+O2tF+KRN/di+8le3Wtn10N38jPpjAcgGURknkzus9L9ru6+IO+c7e4LxijZQnPc4+uPmW/MfI5fX6Jzqb3BEBZc7EioPv7YDeeivNDCen37j3qw+rrxeOD1z6l2ggYgJVsj8OVKtbR3A+DONy4tMGE9y2cBRHKjU8kX5sv1YhsvX8/Q+Hy0+P6A8dc2MBjGI9fUIRQOoy8wICp3LNV8s1TyqkXn0cvQT1Iq1Dw24hT93h4AYUy8aSlG1Jwt2XmpmBihBcSs625fP6ts/PirE7hwzHCsvOYc+AdC6AuGUGzNg81kYP0urjVRzHofRqxc6+wN4uZf/R2P3XAulk4/G73+EAqtBqy+bjz6Q2FBGSW0PjNj4soj7QvkZu4mybXUEXPv4udjkXUojNrt60dHt4837zlZ0qkh4PEPJPW+UM/76OOZOWfU6fCTq8ZiIBxGtzeIgVAYn7Z3x4SIW/IMeHfJVNbx810f1U7QBqRkawiuXCkx+cbxn003X1jM5+O/86Czl/N80floTO52fH/A+Gt7d8lU1JYnl3+fbL5ZqvdJbB69HP0kpUDNYyPYKSirokJiRE4itK4XWvJYZSMja376p88T6oSw9dnmWhPF5KLqdEiQa529wYT8SjG512LW50JLHmev3gaHHf9x3um835GNkFxLnWTuXfR8bO/qw72vfCYq7zkVUq0hEJ3zLPT+EZdPsOAuczzfnJvXUIMN29ticrCLrHm8853r+qh2gjbgryBFaAImN4UNthwNoVwtt5ffYpfq5/nG6ewJRN5jcrc/PNSFBodd9HVJTTr3Seg3yTcb0/oN5CTd54MgCEJNcK3HjKxpZqkTEr3WCa2JBRajoAxmcjrTlWti1+fSAhMenDGOM4/0oT9+nlNrOcm11En13gnlPR/3+GUbsxAl+SY0cszDRocdJSc72zDX7g2GeI8vtObhotpSztpDO1q7hmoxNNZEXqMc6uyHlOwsgMlNiRfyXDkaYnK1+Ej183zjnHbmiMh79aOKseNkjtq8hpqEDUmmelqnc5+EfhMmjz6Vc8tNus8HQRCEmuBaj6ecwV6YCIhd64TWxL7AgKAMZnI605VrYtfnIpsJ51UVi7q+XIDkWuqkeu/E5D0rRXmhBauvG5+gODNediacnbl2g06HuSzztsFhx9yGGgT6Q3j0hnN51xSmfzZAOdS5gqzh4sFgEG1tbRgzZgyMRopMj0fK3KBkclPS7WWY6ufd3iD8/SE8MGMcBsNheAMhFFljx7ludj3+dTKsPNM9reNJ9z6JyaNP9dypIPZ5k7vXJUEQBB9y5M0mWycESOyzzYXH148zRhTgiVkTOHvusvXqTkWuJbM+c/XgZTtWTtSQB01yTZh0ag6wvh5ILu8501TZ8/HzGyeemrMWI0ryY/PFI/O2P4R7/vezmHlryTMgHA7DoNPhm94gSgtMMOcJt5h9d8lUyqHOEWTRfL1eL+644w5s2rQJAPCvf/0LZ5xxBhYvXoyRI0fi/vvvl+NrNYUcuUFiczTS7WWYyuf5rjd6zEU2E4ZH/Z2pntZsSNHzUUwefarnToZknrdMj40gCIJBzrzZZOqEAOx9ttkQU2NDTO0UMSSzPqthLVdLHrQa7oWaSbfmANv5+kXmMStJeaGFtwgbc+1moz5m3kbnXkd7rjffOpn3++z5pqT73RPaRZZw8WXLluGzzz7D3/72N1gspx7eyy67DL///e/l+EpNoXRuULI53Ol+PtnrTXd8UiHnODJ5jVq9/wRB5BaZlo1i1zopamxIta4mcx6l13Kl9zrRKH0v1IwUNQfYzreTp/5AdN6zmmGeG6bvNQNX7vXOQ12cudu5/pzlIrIo2a+//jrWr1+PxsZG6HSnKmmOGzcOBw8elOMrNYXSuUHJ5nCn+/lkrzfd8UmFnOPI5DVq9f6rgX379uHTTz+V7N++ffuUviSCUC2Zlo1i1zopamxIta4mcx6l13Kl9zrRKH0v1IwUNQfYzsdZf8BRGpP3rGaY52b/UU/MtTC1g+LZsL0Ncxtq0ETPGQGZwsW/+eYblJWVJbze19cXo3TnKmz5LdG9LLv6gvj/2Tv3+Ciqu/9/NpvsbjbJJiEhgVQCgUS5QxTlkYSLWrVWRJRqBW256K8+VbSWtiLiBVBBrRcK2Fp9RHj6CD59SvHai1S8EKBWNBZQRAKBoCSGhGSX7H03+/sjzDI7O9fdmd3Z3e/79cpL2d05850z55zvnDnn8/3iZI+muqV48guKHQ9E596ORc8Tr31qoaUdibrGeOq/0+lDsDeEYG8ILl8ALn8Qdpcv7R2F294JwIBbbrlFk/L9XgqyQxBckuEb5Y7DasTYUGvMV1JOMn2p3nTQSupCDzryRCE35oDSuD9C8QcGFVtVSd8FSN8nNe5jRVEunrphHDqdPiy7ZhSCvSFBPTlzza/fWYcsg0F2n8uk9pZJaDLJvvDCC/H222/jrrvuAoDwxPrFF1/ExRdfrMUpUwquvkUor57WuqV48+zJzb299OoRouUIaaH0kgdQSzsScY2xatEKrSY4fUFd6OkSjd91GkAI4+csRv+q4aqV27pvN/a/8QICgeQGfCEIPZIs3yh3HFYjxoZaY76ScpLlS/Wog5ZTF3rRkScKufcplrg/WsbVkbpPat5HJfEcXL4gsgwG2drrTGtvmYQm28VXrVqFpUuX4qc//SkCgQB+85vf4PLLL8eGDRvw2GOPaXHKlIKrDRLSdqRS/kYxTc+nLd2khUoisWrR9KSnSxb5ZZXoV3mean95pQOTfUkEoVtS1TfmW7JFc+jm6yDAUzJIRR10Jvo9te9TIu671H361uHR9D6qdY2Z2N4yCU0m2ZMmTcLOnTvhcrkwbNgwvPPOOygvL8fu3btxwQUXaHHKlIKrDRLSdgCpk79RTNPzyFtfYMW1o9NKC2V3+XC4vQeNLV04fLJH8UAY7/FKiFWLpic9HUEQ6U+q+kanNyCaQ9cpkcooXqT8SSL9DZtU1EFnot/ju09WkxGrrh+DpVePwJEOp6J2o+S+x9o2pe5Tl1Pb+6hW287E9pZJaPZ6dcyYMeEUXkQ0bG1Qp1Nerk49I6bpcfmCcLh9utBYq0G8W3uSsTUoFl2e3vR0BEGkP6noG+1uP6/2tPF4N+7e3CiZ1iceErllNhb0El9FLpnq99j3yen1w5ZrwoOv7ceSP+8L/0ZJu5Fz3+Npm5I6cokc3GrcRzXadqa2t0xBk0m2w+Hg/dxgMMBsNsNk0ufgmmjCGg+ZuTr1jJSmJ8+coxuNdTxIbe1ZO7tWMrhFPMfHg9L616OejiCI9CfVfKPNksOrPWXQyk4pf/LrG8Ylzd+wSSXfn8l+j7lPdpcPCzc3YkdTfO1G7L7H+ywkmbteQqKh1n2Mt21ncnvLBDTZLl5UVITi4uKov6KiIuTm5mLw4MF4+OGH0dsrnqg+U0hF3RKXdLgGOcS7tSeVtgZlyj0lCEKfpMoYlCw7k71lNh1JlTanJYl4Ton3HFL3qTgvNe4jtbf0RpNJ9oYNG1BRUYH7778fr732GrZu3Yr7778f3/nOd/C73/0OP/nJT7BmzRo8/vjjWpw+5UgF3ZKUbiYVrkEuYtca79Yeuzs1tj8C6XVPCYJIPfQyBunR/9ldPpyS0K8mYstsuqGXNpdMtNrCzO5HUm1X6hxS96ncZhH8/slZYwEgKXEKuGMJgIxvb+mMJtvFN27ciKeffho33nhj+LMZM2ZgzJgx+P3vf493330XlZWVeOyxx3D//fdrYULKoWfdklzdjJ6vQS5S1xrP1p4T3W54/OK7N/S2NSgd7ilBEKlLsscgPfo/xqZ5k4aI/s6Wm5gts+lGsttcstFiCzO3H700d0Lc55C6T0LfO33Bvu3wCY5TIDSWPDFrbEa3t3RGk5Xs3bt3o7a2Nurz2tpa7N69GwBQX1+PlpYWLU6fshRaTRhWlo/xlcUYVpaviw6mNL2AHq9BLnKuNd50WLuOdEZFoJVzfDJJ5XtKEETqk6wxSI/+j21T4/FuUX9is+RQarEYyWS/p/YWZr5+JNV25Z5D6j5xvweQlJRZYmPJ4i17ASBj21s6o8kk+5xzzsFLL70U9flLL72EQYMGAQA6OztRXFysxekJFUklDXG8yLnWeNNhrW9oxnyeVC+TaWsQQRCErtCj/2PbJORPGH/k8QeTmlqMSE3U3jLP14+k2q5Wz0LJ6tN6HEsI7dHkNeZTTz2FG264AX/9619x4YUXwmAw4OOPP8aBAwewZcsWAMDHH3+MH/7wh1qcPu2xu3zo6PHB4fHDlpuD0jzttpVkUnoBudcaTzosly/Im+qlsp8VA2VsU0rkvScIgkgl1B4f9ej/2Dbx+ZMhJVZ8pygXhVYTGlu6Yk4tRr4ms1FzyzxfP3L5grhvy148MWssHrh6JE57ArDlZqPYakK5zaLGJci2hY1WfVqPYwmhPZpMsmfMmIGvvvoKv/vd7/DVV18hFArhqquuwmuvvYbu7m4AwE9/+lMtTp32JDrnZSalF1ByrfGkw+JL9fLuoqmSZSQ73ylBEIRe0WJ81KP/49rE9SfvLpoa9k2xphYjX0MA6qVe4+tHVpMRj88ai/U7m7GzqTP8udbtLFl9Wo9jCaE9mmwXB4DBgwfj8ccfx5///Ge8/PLLOOecczBr1ixccMEFWp0y7VGqD1ODTEovoOW1xlt2Mu49QRBEKqDV+KhH/6fEpljsJ19DqE2+JTsqNsCC+iq8zJlgA9q3s2T1aT2OJYT2aDbJBoDt27fjlltuQUVFBdatW4errroKe/bs0fKUaU0yNB2ZlM5Cy2uNt2zS8xAEQfCj1fioR/+nxKZY7CdfQ6iN0xuIig1QO6goaoLNoGU7S1af1uNYQmiP6tvFv/76a2zYsAHr16+H0+nEjTfeCL/fjy1btmDkyJFqny6jSJamI5PSWWh5rfGUrea9Z2vtCnNzkGfORo8nQNo7giBSEi19ox79nxKblNqvZV0K6bxJ/53e2N3+sP76vquGo8cThC03Gwsvrcb6hma4fMGoY7TUKMvpE1q0ST2OJYS2qDrJ/v73v4+GhgZMnz4da9euxfe+9z0YjUY8//zzap4mY0mmpkMtbU4qoOW1xlq2WveerbWzmoxYM7s2assWae8IgkgltPaNevR/SmxS8lut6pJP5335iDI8OH0klr62n/TfaUxhbg6v/rquugRrZtfi7s2NURNtrTXKYn1Cy5gEehxLCO1Qdbv4O++8g9tuuw3Lly/H1VdfDaPRqGbxGQ9pOjIXNe49V2uXLE0UQRCEmpBvVA8t6lJI533eQBuWbN1H+u80J8+czfussbOpEy/vbMaC+qqIz5PZZykmAaEmqk6yd+zYgdOnT2PChAmYOHEi1q1bh5MnT6p5ioyGNB2Zixr3nqu1S5YmiiAIQk3IN6qHFnUppPMmH5QZ9HgCgvd5Z1MnagcVhf+d7D5LMQkINVF1u/jFF1+Miy++GL/5zW/w6quvYv369Vi0aBF6e3uxbds2DBo0CAUFBTGXv2rVKtx///342c9+htWrVwMAQqEQli9fjhdeeAFdXV2YOHEinnvuOYwaNUqlq0o8YlqQVNB0xKNlSYY2i++cAHSnEePeextLT93Y0iVpJ1dr5w30ip6P8jYSBKEn9O4b5fgvNfxjj9ePIqsJvkAverwB1X0UU5fdLj+cvgCcviCKcnNgNcW2O1FI500+KL0QattSOv/C3By8dsckVftsrP1Myla7W1mbVPuZluIXSKOnOtIkT7bVasWCBQuwYMECHDx4EC+99BIef/xx3Hfffbj88svxxhtvKC7z448/xgsvvICxY8dGfP7kk0/imWeewYYNG3Duuefi0UcfxeWXX46DBw/GNaFPFnK0IHrWdMSjZUlGbk7uOa0mI9bPuxDPbW/Cjib9acTY9/5Etxu//L9/y64vrtbOnC2+kYXyNhIEoRf07hvl2KeGf/zkWBfWzK7Fk38/qGksDacviAdeV0crLaTzJh+UPoi1bSmdf7HVhGFl+QmxRartStnq8Qdxotstqw+o/UxL+eul0VsdaZrCCwDOO+88PPnkk/j666+xefPmmMro6enBzTffjBdffBHFxcXhz0OhEFavXo2lS5fi+uuvx+jRo7Fx40a4XC5s2rRJrUtIGKmuBYnH/mRcO985F9RXYe32QxETbK3tiIVY6ourtWs83h2RUoMN6RgJgtALeveNcuxTyz8mIpaG2vUtpPNuPN4dlT+ZgXxQ6iDVXvIt2QmLmRBv2xWLSVBXXYJdRzpllaN2H9L7GKgH9FhHmk+yGYxGI2bOnBnTKvadd96Jq6++Gt/97ncjPm9ubkZbWxuuuOKK8GdmsxlTp07Frl27BMvzer1wOBwRf3og1bUg8difjGvnO2eqaMRiqS+u1m59QzPm11VFPeQkSxOl135JEJmMHvql3n2jHPvU8o+J8FFq17eQzvtgqwMrrxtDWvoY0EO/ZJBqL05vIGExE+Jtu0xbncyxta66BPPrqrC+oVlWOWr3Ib2PgXpAj3WkyXZxNXn11Vfx6aef4uOPP476rq2tDQBQXl4e8Xl5eTmOHTsmWOaqVauwfPlydQ1VgWTlwVaLeOxPxrUz57SajFhQX4XaQUWwmqK7BPv7TqcPONkTl8ZDDb1IrPXFp+t++sbx6PEEkq7x12u/JIhMRg/9Uu++UY59IYkypPwj44fyTNkRPskb6IUlx4hPW7qwvqGZtxylPkeL+hbTzCdbS5+K6KFfMki1F4fbj6H98xNyn9VouxVFuXhw+kgcP+WCN9ALc3YWGo93R6QakypH7T6ktzEwEbpnoXPEqv1Php/Q9ST7+PHj+NnPfoZ33nkHFotF8HcGgyHi36FQKOozNkuWLMGiRYvC/3Y4HBg0aFD8BsdJMvNgq0E89ifj2m2WnIhc0eu2N+GluRMifsP9niFWjYdaepF46otPt1huk31qzdBrvySITEYP/VLvvlEN+0TH7NycsB+aUFnM65OYnMO23MhyYvE5WtW3kGZez3Fm9Ioe+iWD3PaSiPusVts1Ggy4deOemMtRuw/paQxMhO5Z6ByPzhyNFW99gX8caI86t57qiCFh28Vj4ZNPPkF7ezsuuOACZGdnIzs7Gx988AHWrFmD7Ozs8Ao2s6LN0N7eHrW6zcZsNsNms0X86YFUz/UZj/3JuPbSfBMenD4yQt/G1SmrqX9TUy+S6m2FD732S4LIZPTQL/U+3smxL55rYOcZDoZCgjmHN+xsRp757NpJrD5H7/VN6KNfMuipvahlS7zlqF0neqnjROiexc5x/9Z9GD7QFvV5orX/ctH1JPuyyy7Dvn378Nlnn4X/JkyYgJtvvhmfffYZhg4digEDBmDbtm3hY3w+Hz744ANMmjQpiZbHRqrn+ozH/mRce6HVhPMrI/VtjE6ZmWirqX9TUy+S6m2FIAhCLnof7+TYF881sPMMGwwGQZ/U0NSJHk8g/O9YfY7e65vQF3pqL2rZEm85ateJXuo4EbpnsXM0cPKqs8+dSO2/XHS9XbygoACjR4+O+CwvLw8lJSXhz++55x6sXLkSNTU1qKmpwcqVK2G1WjFnzpxkmBw3esj1GQ/x5HJW+9rlaEac3kDEv12+IO7e3IgF9VX4f/VDI1YF+FCi8WDrRfg0db0hKdVeJFq2FT3lGSQIgtC7b6woysWvbxiHLqcPDk8AttxsFFtNKLdZIn4jdg184y4AnGKtDnn8QVE72D6JreWWq9+Wa6ueIH+VfPTUXtSyhdunC3OzUWDJgdsflHyejdcOvjathzpW+zlW6hxcrCYj+uWZ8NLcCVHjWSK1/3LR9SRbDvfeey/cbjfuuOMOdHV1YeLEiXjnnXdSMkc2Q6rrk+LJ5azWtcvNWerx90Yd6/IFsb6hGeNnF8EfjP6ejRKNB6MXEdJ5Tz7ztk2JpkWLtqK3PIMEQRCAvn2j3HFT6Bq4x1tNRqyfdyGe296EeXVDwr+z5BhF7WD7JLaWW45+m4ue65uB/JV+0FN7UcMWvrZVX12CeXVV4SBoUm0tFjuk2nQy61iL51ihc3BhzvnMOwexg7Wbhzue6akd6nq7OB/vv/8+Vq9eHf63wWDAsmXL0NraCo/Hgw8++CBq9ZtIDsnKWackZ+muI528uaIZLbbQ94ByjQejqRHSee/QQb5DPeYZJAiC0DPxjpt8xy+or8La7Yewo6kjIlZIKBQSzC1dX12CfMvZtRO2lpsNn347FSF/RWiFUNtqaOrEyzubsaC+CoD6bU3vbTrfko366hJNn2OF9OfMOXek0HiWcpNsInVIVs46JTlLuRpshklDS7CzqVPw+8kxaDwYTQ1Ttph9yUKPeQYJgiD0TLzjJt/x7HggbD9kNBgwj8cn1Z1ZYWNLoNhabi5c/XYqQv6K0AqxtrWTowtWs63pvU07vQHMq6vCxRo+xwrpz8WenfU6nulv2p9GZLpOKFk565TkLGVrsBfUVYVzIuZkZ4l+X9nPioExbIepKMpFm90d8RlX1+ILBGF3+VRrK0raoR7zDBIEkV6km2+Md9zkO94bOCtVYvshS44RCzZ+HOWTmDy+m26bGFFurJpsNdD6PpO/UobW90OP/TpWm6TaFrt/Auq1Nb23abvbj7s3N+L5Wy4Q/V28dvLpz+1u8Yl7suuGD5pkawTphJKX10/peV2+YISmBAD+9rPJot+/u2hqzPYV5p4d4NXOw81FaTvUY55BgiDSh3T0jfGOm3zHm7MjNxoyfqh2UBGvT+I7V7ya7HhIxH0mfyUfre+HHvt1PDZJtS1u/1Srrem9TdssOXD5gqrGKxKCq60+3N6j+TnVhraLa4DeNRWJIll5/dTIWVqcp53t7HOrmYebSyztUC+5GAmCSD/S1TdqkVOXrcPmfi6kyeaeK1ma7ETdZ/JX8tD6fuixX8drk1jbqqsuQePx7vC/1Wxrem/TjH1C4xOgnZ16rxs+aJKtAYnSVNhdPhxu70FjSxcOn+zR3QNKsvL6qZGztNxm0cx29rmV5OFm7ve/j3fhWKcTh749jcaWLhw52YN2hwfHOpz44oQdHx89hUPfnkb7aa/sdsiUfbTTiRXXjtZVnkGCINKDZOgNE+Entcipu76hGXddWoPJnDIPtjqw8roxss4Viyabqa/Pv+nC8U4nDrQ68NGRTnzZ6sCJbjdPSdEovc+x3iO95A7WO2r3O+796nb58cmxLtXKlzr3kZM9+Orb0/iyzYFPj53ibTPxXrNQ26qvLsH8uiqsb2gGoH5b03ubLrSa8MSssRjcz4r7rhqOl+ZOwPp5F2LhpdWwmowx2Sm3/wvVzeSaUqy4Vp8Br2m7uAYkQlOhx605fCQrr5+c80r9RkvbmbK/ktj+wrQV5n5/cqwLa2bX4sm/H8TOpk5YTUY8N+d8WHKysO69pogHqpfmTlBUNjt1zIPTR2Lp1SPg9gWTnmeQIIj0INF6w0T6yXj9hdDx6wTKlHMupfXN1NfRDif++9aLcN/WfRE+pb66BI9dNwaDS/JEy1Vy3njvkR5yB+sdNfsd3/2aXFOKNbNrw2mt4ilf6twPvb4fN11UGbVDg9tm1LhmvraVb8mG0xvAptsmatbW9N6mQwDe+OwEfvWnyDbwl7sno9iao8hOpf2fqZs2hwdfd/W99Gs83o3vr9mBCYOLdTcHokm2BmitqZDaBrN2dq1uOiOQvJx1cs4r9RstbS+0mtBPouwCS07E/V54aXWEc1lQX4VWuxtv72sVXLGQWzaDyxfEkj/vw5SaUt21JYIgUpdE6g2T4Sfj9RdCxwt9JnUuJfXNrq83Ftbhgdf2R/mUhqZOLN26D0/+YJzog6zc86p1j/SUF1ePqNXvhO7XjkMd6A2FsKC+ijdWgBr9mjn3uEFFohI7ps2odc16fn5NBuE20BTdBh56fT/Wzq5VXlYM/f/Rtw+kxByItotrgNa6Ab2H+CfkI6etsO83d3t57aAilNssvBNsOZoZaksEQSSKRGrqaGxTVt/s+so2ZoluM7e7xVcB5Z6X7lFiUKvfKUlrFUv5cs4tV2KXivrdVEDNPhtrWak0btBKdhzwpQYAgE6nDw/PGIVlb3yOT451hdNnGA0GDCmxosvlwzfdbjh9QRTl5qCswBx+6yIn3YDeQ/xnGvGkrWA0Jvdt2YsPOdtlGF3LkQ5n+HNu2gjuv9m8+q8W/NfcC5FlOBi1FYevbC5WkxG9oRAOt/foKiUHQRCph93lg93lx/IZo/DYXw5g+EAbagcVIdAbQmVxLoxGA7497UWrwwOXN4BCqyk83sQyxmain+SrJyn/wsCur9MSk2hu3cV63mTcIz2mmdIaOc8ZbITqSOp+cVFTR8ycW+yZBzjbZqSu2RvoxZetDjg8Adhys1FsNaHcZonbzmShVbvmlis3jZYWcxmmzE6nD+vnXRhORciVKAiNG8zxdrcPVnM2sgwGZGcZUKLhGECT7Bjh07Gun3chntvehB1NHbCajLh96lA8PH0klr/5OdY3NOO5Oeej1eGJ0s5OrinFk7PGIgTI0iboPcR/JqGG5k9Kf8O+39y0Edx/M1hNRjw+ayzWvPsVxg0qwrxJQ+AN9KIoNweDS87m+BZqS0xqsRVvfo4dIrongiAIKVq73Th2yoW12w/hYNtp/NfcC/H037/E+oZmrJldi1+/cxBzJg6O2gZ6+YiyvvgQr+1XPMZmmp8U8kVPzBorS9/Jrq8CidRe7LqL57yJvkepEstGC+TqfMXqSOp+Vfaz4t1FUzXRETPnFnrmYWC3GaFrdrj9+OWfouMNrLxuDCol4g3oEa3aNV+5m26bKHqMLTdHtj1K+j9fmUwqQm4sAL5xQ+j4+XVVWPWXA1h+7WhNxgDaLh4DfDqCBfVVWLv9UFin0JdHLoSHz0xSGO0sd4IN9GkZ3v/qJBb/SV66AdoGow/UTFtRaDVhWFk+xlcWY1hZfoRjYt9v7hbwxuPd+NbhidoWzqQG2/7lSazb3oRbN+7BHa98ijn/9RGW/Hlf2DahtsQcv0OD1GIEQWQOdpcP7391Emu3H8LOpk7cdFElfv33L8N+8eWdzRhZUcirszxvoA1Ltu6LaYzNJD8p5osWb9kLAIL+hYFdX4Fgr2CasPrqEhTmSmuq5Zw3kfdIj2mmEo3YcwYgXUf5lmzR+1VWYJZsZ7ESa+oo7jV7Ar1RAf2APhnE/Vv34VuHRzWbE4FW7Vqo3F1HOkVTCOaZs2XbI7f/C9mys6kTL+9sxoL6Kt7jpK6FOf68gTbNxgCaZMcAnx6ATyfC/kxMOwsAZQXmqEACDFyNgd5D/GcKidKFsO/3+oZmzK+rCjuZ9Q3NGFiYi4WXVEc4Hrm6JaG2NGloiezUYgRBEEJ09PhQVmCO8IXc/xcar5SkOOSSSX5SDV/Erq87X/kUj8wcHfUwzUQXZ1Z8tEqTpMU9SiUdZ7KQqiOnN5C0PsW0lYOtjohnIKU2dDl9ovEGupyp1Q60atdC5a5vaMa8uqqo1IJM/fd4ArLtkdv/5cYCEGoDco7Xagyg7eIxwKcj4NOJsD+T0pHI1Zkw6D3Ev1xSWR+lRE9id/nQ7fLD6QvwavHZv+OrD/b9dnr9WDlzDHzBXji9Adhyc5BvzsbKmWPg9AXg8gURkrCdbRtTNts+KdJRz0gQhPo4PH5BX8j8v5D/U+oXuejFT2rt58R80aDiXOQYDTjQ6oDD7Udhbg5suTmi6XE6enxwe/1Ydd0Y9PiC4bor5BynVpqkX98wDl1On6b62EzU6HORaodSdeRw+zG0f76mfcru6tPcBnpD6A2FIuIzVBTl4qkbxqHT6cOya0Yh2BuCyxdEYa58Gxw8ueGVfK83gqEQXpo7Ad5ALyw5xiidcqztWqgtuHxB3L25Ea/fWYcsgyGqDTS28OdLZ4hlLiPVLgssOXh30VTBNiB1PONntBgDaJIdA3w6Aj6dCPszKR2JEp0Jg15D/Msl1fVRcvUkbD0iV4v/BOtapepDyf0+LJF/m9uenL4gHnj9rO5RKsd2uukZCYLQBpslB6dYq0N8flHI/8XiF7kk208mws8J+aJBxbn471svwhIF+a6V1JcamupEPQdkmkafi5x6lltHWvUpuXmw4zm3zSI+7ZH6Xk+c6HbjEU7cHK5OOdZ2LdYWXL4gsgwGDCvLV3QcENtcRqrMkjwTry1yj2f8jBZjAG0XjwE+HQGfToT9mZB2lqH9tDdj9GNAeuij5OhJuHpENjtY16p2fSjRuvGdW6nuiSAIgo/SfBPaT3sjfCH3/4XGm8bj3aL6P72PQ4nyc0Lj/XM3ny+a7/pEt1uT8wLy7k8inwMySaPPRW49J7OOGBuHD7SJ5sGOt00U55lE4w0U56VGOzibrzqyntg65XjuWaxtQYs2lG/JFr1n+RIvRsRsYvyPVu2bJtkxwKcjWN/QjLsurYnQKbA/E9LOAn0rmpec2z9j9GNAeuij5OhJuHpELsy1ql0fSrRufOfmar/FjicIghCi0GrCtHP7465La1BXXRIxtjD//8UJO+94c7DVgZXXjUlZv5iMuB1scuLMdx3reeXen0Q+B2SSRp+L3HpOZh0pzYMdK+U2C1ZeN4Y33sDK68akTBovKZ3xpKElcd2zWNuCFm3I6Q1gHo9/qKsuwby6Kji94lv8hWxioosfbHVo1r5TZ1+EzhDSEawT+czp9aMo14THZo6GyxcMa0nY2lyttS560T+niz5KSk/C1SPycdrjV6Shlnsf5eoR2ffCajKG87oHekO473sjkGM0wOMPpqzunyCI5DKwKBdWkzEcN8LjD+KxmaPhD4bg9gXw8PRR8Pf2CuosU9UvJtLP8Y33HT3emM+vtp/hQ636SYStqYySeubWkS03B3nmbPR4Amhs6dLs2VFpHux4qCzJw9M3jj8bB8CSjeK81MqTLXVPLTnGcKrWWIm1v6jdz+xuP+7e3IgF9VVYUFcFb6AX5uwsNB7vxt2bG6PSivGNB2yb7G4/rCYjjFkGGLMMeOqGcZQnW48I6QjkfqakzHjRm/45nfRRYveMq0fkQ861Mr9Reh/ltCfmXjC5sV/e2Yx125vC33O14wRBEEqJx7elql9MtJ/j1pMvKD5hETq/Fn6Gj2RoupOt0U8GSuuZXUcnut345f/9O2GaeTXiMMih3GZJqUk1F6l7WiiR614usfYXNfuZzZIDly8Y8VzKRiqftlp6/lig7eIZgB71z5mij+LqEbkw1ypX363FfWTOzeSsFdOOEwQRPy0tLfj0009V/2tpaUn2paUMifCLyfZzhbk5svJds0klnbQen230SKz1nIy2QPFg5BGvTjmViDefdjLHg/S5C4QgcvQ4iX67w2gk7tuyFx9y3jilkz6K0SNWlfZFceWLLs5cq1R9HG7v0eQ+MvfiaIdT8E1hstoJQaQbLS0tGD58BNxul+pl5+Za8eWXB1BZWal62elGIvxisv1cRVEuHrtuDJZu3YcGnujifCuRiXxeiLd+9Phso0diredktIWHX9+P+XVVABAVXTydng3jhdEphxBZT3J1yqmE3Parx/GAJtkZgNq6MLU0bEK6DaAvBZUetONisOuh8IxuyekNROR3LLKakG/ORoXNgkdmjIY70KfF58uTLUffzcDWTjP5EXtDwspuqXtWUZSLNjt/pFmryYjbpw6FAcAXJ+yieb4JghCno6MDbrcLExc8DNvAIaqV62g9io/WL0dHRwdNsmWgxC/G4/PY47rT60dhrgm+YC/aHB64/EFV/BtjX4/XjyKrCf5gL3pDQAghZGdBMt81G6Ze+HzMpy1dcHrlPy/Iqbd48mRrqXlX4zlHT3FwYtHJalG/YnWiRh5srZF7T7W+92I65fu27MXm//cfip6jpey1u3x90kcD4PH3hvX6aua0Z2ywu32wmrORZTAgO8uAEo6mmtt+meM6JaSZyYj1RJPsDEBNXZjaGjaubkNv2nEh2HYyWuZNHx3DnImDw1uu2RpnvnyPQtp9MX03oFw7LbdO88zRw4HVZMRzc86HJScLD76xXzTPN0EQ8rENHIJ+lecl24yMRa5fVMMnMeO6Fv6NKfOTY11YM7sWv3n3EOZMHBzlj7jnE8JmyRH0MXXVJfjB+ecoskvqWuOpE60072rcJz0+yyjVyapdv3LqRM+a+US0abkI6ZSZvruCkz9b7PxS9p7oduOxt7/A3ZedixVvfR4xnjBR2StL8uK6Hj4bmOjfq/5yAMuvHc2rqWYf99LcCaLnSEasJ9JkZwBq6cK01jvoUU/BB9dORss8sqIw4oFGSOMcb+5rJdppuXVqd/nwaUu0FmpBfRVa7W6se6+JtNoEQaQNiY6DoYV/Y5fJ9UNcfyT3fKX5Jjw4fSTvsTubOvHQ6/slbVXid+KpEy0072rcp1R5lpFCzfpN9TpJVJuWi9C9YcYBbv5sofNL2futw4PFW/bi+vPPiZpgA32pAO/fug/fOjwxX4uQDUzO7/MG2mTZrkc9P02yMwC18tZpndMyVXJnc+1k8jpy8zuqne+RuY+ThpbILldunXb0+PDIW19E5aqtHVSEcptF07yVhL45cOCAqsG5Dhw4kOxLIghZflFNn6SFf2OXyfVDsfqfQqsJ51fG57uU+J146kSLnLxq3KdUeZaRQs36TfU6SVSblovQvVHyfCjH3i5n3/dlNrNguQ1NneiS2KothlTO79pBRbJsX9/QHPUMCyRXz0/bxWNELb2F2roNvvIAwOMP4sFrRiLbYIDbHwzraq0mo+yytc75qYfc2bJ0KZy3aUxeR25+R7XyPXK13+Yc8Xdj7HLl1qnD44fLF4zS+OSZsqOuN9brIFILt70TgAG33HKLJuX7vfp+qCLUIRYfp5We0e7q0+0xcTM8vgAenTm6L4aGL9ovqumTtMgJHeg9G4eD64fE/I/V1BfDQ0iz6fIF47JVid+J5zyA+jl51bBJD88yaqFW/aZqnSjV+8Z7nUrGPr7cz6clAp5xzy9lL/N9j0d8THB4AjHHUpKygRnL+Gznxo7IycrCgroq3Fo/FPnmbJTkmZKq56dJdgyopbdQW7fBLc9qMmL9vAvx3PYmfNLSJaoPlnM+rXN+Jjt3thxdyuItezFv0pCI45i8jtz8jmrke+SzadNtE2WXK7dOmd9xNT4vzZ2QsLyVhL7wu04DCGH8nMXoXzVctXJb9+3G/jdeQCCQPtFPCX5i8XFa6RlPdLvx0Ov7cdNFlbLjZqjpk9TOCW01GfG/t/9H+DuuHxIat+VoNuO1VanfifU8DGrn5BVDjk3JfpZRGzXqNxXrhN3f1s+7UPS3arTpWMa+QqsJTl8Qy978PCZdspS9uWdeOOZbxBfk8kxGXPbMB7LtVmIDM5ZF5XPPzRGMHTG/rgql+SYM7Z8veX4toe3iClFLb6G2boOvvAX1VVi7/RB2NHWoog/WOudnMnOKytWl7DjUEaX7YP4t9Dkf8eQA3XWkUzA/IrdcuXUq9LvG491od3h0p3MhEkd+WSX6VZ6n2l9e6cBkXxKRAGLxcVrpGZlyhw+0KYqbkW/JVs0nqZ0TekF9FfZ9bQ+PzVw/JOR/5Gg247U1Xr8j9zxaoIZNeryuZJNqdcLtb6FQSFZe6kTnJI9Xlyxmb111Cdod3vB/xa6/jaPJVmtuwYxlfLbnmbMFY0ds2NnMG8w30eh6kv273/0OY8eOhc1mg81mw8UXX4y//vWv4e9DoRCWLVuGiooK5ObmYtq0afj88881tUktvYXaug2+8tiaLDX0wVronxJZvhhydSlAtO6D+feBE3bez7kDU7w5QNc3NGNeXRUmy6gnuXUq9LuDrQ7UV5firktrogZubp5vgiAIhlh8nFZ6RqZcpXEznN6Aaj4pXv/GFwvk0bcPhH0O42++OOOHvuD4IwY5ms14bY3X7yRTQ6mGTXq8rmSTanXC7W9GgwHzePoTNy91rNcZ69gXry5ZyF5mNXjxlr2YX1eFP31yHA9OHxX1PFtfXYKHrhmFxVv2KrJbiQ0HWx28tvd4AqI68R5P8nfLJX+aL8I555yDxx9/HNXV1QCAjRs34tprr0VjYyNGjRqFJ598Es888ww2bNiAc889F48++iguv/xyHDx4EAUFBZrYxKcdYGsCOp0+4GSPpB5Bbd2G3R3dkNmaLLX0wWrrnxJdvhDSupSznZVPu/ydIgtWXj8WTm8gIr9jkTUHT984Hj2egOT1cPWCDje/Tcz5X7+zDlkGg2DOQLY2hl2ntjM5vXs8ATS2dIV/I1b3ttwcrJo5BoHeUESubyWafoLQGi2CqpWWllLe6Rjgjqlc7ZwvEITd5YsYC7XSMzLlKo2b4XD7MbR/vmo+KR7/xq0bb6A3yhcFekO457vnIhDsxb1XDofBACyfMQomYxacZ/JkG2AQPQ9Tx4ytnU4fgr2hMz4tAJc/+r7JudZY/E6yUMOmePJ/pyt6vNdCcPubyx/EL//v37x5qe/e3Bgh40tkTvIoOzljQoElR1KXzLa309lnM3NdLl8Q923ZiydmjUWwtxcPXD0SIfRNcHNNRuSZjLjh97vR0eOLGuMtOX2xH7jwjdOR/aWvznJzshAKAU/dMI7Xdrl1lsx89bqeZF9zzTUR/37sscfwu9/9Dv/85z8xcuRIrF69GkuXLsX1118PoG8SXl5ejk2bNuH222/XxCaudkAon6SUHkFt3QafTpetyVJTV6t1HsNk5EmUuh82S2RX4WqX3100VdR5ltvEz8+nFxTT1rh8QWQZDBhWFqk3EdP0ML890e3GL//v34K6H6H83U5fEEt1lveTIABtg7Tl5lrx5ZcHaKKtEPaYKtdPaqVnZMqNNW6Gmj4p1rK4dcPYzpcrF+jzScPK8tHS6cSSrfvCKz5KNJvMuB+rRp59rbH4nWQS7z3XY55sPaDnPNhs+PqbUF8DePTCCcpJzncc205mHJAibG97D278/e7w51aTEY/PGov1nG3Z9dUleHD6KPh6e8MTbL4xntnxyLR5oX7x6MzRWPHWF/jHgfaIzx8XWf2XfG7PzUl6P9T1dnE2wWAQr776KpxOJy6++GI0Nzejra0NV1xxRfg3ZrMZU6dOxa5duzSzg6sdiFXrrLZug0+ny9Zm6DF/nJ6Quh/FedrpiYT0gkrvmRxNj1q6H7nHEUQiYAdpu3zpy6r9TVzwMNxuFzo6+LfxEcKwx1S5flIrPSOjrVY7bkYi4daNHNu/dXgiJthyj2PQawwavZNp15uOxNLf1Dyf3PLV1rrLneM0NHXikbc+R76pb2wV+t0Omc+f92/dh+EDbVGfxzOPyjNnJ70f6nolGwD27duHiy++GB6PB/n5+di6dStGjhwZnkiXl5dH/L68vBzHjh0TLdPr9cLr9Yb/7XA4ZNvDaAfu27IXH57ReAm92WLrm8TK2XOsK7zFAgAGFVsFzy+m010zuxYGgyFCO/zyvAuRZTCEvwcQFUVVj3qYRMO9rwxM/ZTbLDHdLzkw93TepCHhtmQ1GZFjNODh6aPwyFvRUWD57pmUpofZ9iel++FrC3L0QvG2oXj6JUEAZ4O0EeoRa79kj6ly/STfOGw1GfHg9JE4v7IIRzqcsOX6orb7SY1PjLb64df349b6KmQB2NHUedZvou+hkUGPfpFbN4ztluwsjKgoDG/RLLbmoLKfFYVWE1pbHWF/z2zlnFBZjGvGDsSjbx3AjqZoX6ekXuWO++2nvZr7Dz1B/jL14etv6+bUhscOBrVjEgk9gwqVH+txUnYwk1OxsbuhqROnz4ytRzuckmN8b0j4+bOhqRPz66rC/2ZvPf/q2x4U8MgtpK69xxNI+rij+0n2eeedh88++wzd3d3YsmUL5s6diw8+OBsm3mCI1BeFQqGoz7isWrUKy5cvj9kmrn5BDDENGVNOl8uPB1/bJ2u7uZAGgU+na8vNgdmYhe+PGYh5k4Yg0BvC4u8NR28ICPb2oig3ufnj9IaUjiaW+yUHrl6Qve3m9x8cwYL6Ksw7M/icU5yLATaLYn2K1WRECEDLKZeoLXJ1P3KPU0K8/ZIgCPWJp18yY+ZX7T2iv2OPH+xx2On1w5ZrwoOv7ceSP+8L/4Y73krG1DijrX7qhnHodvn7fOIZXWW2wYCFl9bgwekj4fYFda0T5fqowtwcPDxjNJb+eS+vP2JiiXC3cjIPsD+dNgzmnCzBZwE1xv0T3e6Y/U6qQv4yPeCORYW5Jnx/TEV47DBnZ6H9tFe6oBjOp0SzrrbWvaIoFw9OH4njp1zIl4jQ7XAHMHyADW12t+jvut19ubzF4HsGZo9r9dUlWHndGFSW5EXYKnTtjS1doudLxLij+0m2yWQKBz6bMGECPv74Y/zmN7/B4sWLAQBtbW0YOPBsSpj29vao1W0uS5YswaJFi8L/djgcGDRokCK72PoFMeRonR98fb9gOo21s2sjOoqYBoGr07W7fFi4uZH3Tc6UmtKosgl5Ohol90sOXL0gd9sN9+Fp7ZkdCULl8LGgvgrLXt8fnqwLoUT3I+c4JajRLwmCUJd4+2Wh1YR+EmOikJ4x7MOa+Lf7MeOtkvHpgdf3p7RPZPuos/XD74/u//4IANE+hdFsrtveJHrd8Y77zPbQeZOGxFVOqkH+Mn2IGos0Hjti1ayrrXU3Ggy4deMevHlXnejvmHhFhbni5/b6e2Xnwxbbon7/1n14+sbxUSvaWoxfapAymmyGUCgEr9eLqqoqDBgwANu2bQt/5/P58MEHH2DSpEmiZZjN5nBaMOYvVuLVQygN26/kfFqlQ8lktKhT5p4ymp9Y062JtY1JQ0uwo6kzZl1RInJcqtkvCYJQBzX6Zazjh9zxVm756eYTpa4nz2REvUY+RcnzTSpp39WA/GX6kW5jhxRMG5bKj12cJ53zfnJNKXYd6YQpO0twHKg/kw8bEE+t2NDUiS6JHcTca+AjUeOOrifZ999/P3bs2IGjR49i3759WLp0Kd5//33cfPPNMBgMuOeee7By5Ups3boV+/fvx7x582C1WjFnzpyE2Rhv7j+l24qUnC8RW5YyDakt2b2hEA639+Dfx7twrNOJQ9+eRmNLFw6f7BEMssDc04OtjghNihDc+2Z3+XC4vQdHO51Yce1o3rbBvCFk51C0moxYeGk1Xpo7AS/NnYAHrh4peM5Uy3FJEIR+iHX8kOvD5Jafbj5R6HqYsd0VCODRmWMkyxG77hXXjsbkOJ9vuLl7Gfs23TYRP7usBh1OX1oFAyN/mT4wz1edTh/Wz7sQCy+t5k1dmmpjBwNzfdznVKYNb/3066j82FaTEauuG40Hp4/EiW43Dp/s29H7hECbXzZjFNY3NKPV7uHN4V13Jtf2l619cQUkUyvKzH+th36o6+3i3377LX70ox+htbUVhYWFGDt2LP72t7/h8ssvBwDce++9cLvduOOOO9DV1YWJEyfinXfe0SxHthDx6CFi2c4g93x62CqRbgjVKaMhWfHm5/ikpRtrZtfiyb8fjAoyJ6TbrijKxVM3jEOn0wefxADDvm/c9ARMkKClV4+I0Bcyb1kZ7f7tU4eGg6rJ1ZanUo5LgiD0RSzjhxIfJqf8dPOJfNfD+KJNHx3D+EFF2PLJcdxxSbVoOXzXzfiWT84E+mS2fIvFBRGyj5279//VD8XAIgsefesL1eKa6BHyl6kPX/qnuuoSrJldG84hzZBqYwcgnWauoigXj103BqecPjw6czTc/l44vQGU5Jnw0OufY8nW/VHH8bX5TqcPLl8Q2VkG3MXK4c3ONT7nxX9iy39OwpKrRsATCPKZG4abUlcMA4CrxgzE3ElDNNHRS6HrSfZLL70k+r3BYMCyZcuwbNmyxBgkQqx6CGY7w4cCOg+h7Qxyzhdr2YQwQnXK1pAsvLRaNF2NkHaHrf2Rc9/40iG4fEEs+fM+Xo0QU6bLF4Q/GMLytz6P2UaCIAilKB0/lPowqfLTzSfyXQ/ji2ori8N+aFhZAeqqS3i3YMpJByk3LoiYfYwOfOGl1Whs6FLse1IR8pepi1C6KabdLqivCveLVBw7pNLMMf2Q24blxMngy8vNSCJrK/mjlU+pKUWRNQeF1r7Ug/XVJREZHxjYW9TlXOO9PNfInC8RY42ut4tnAlpuZ9DDVol0Q6hOJw09+wATq/5N6hzc+6ZEI8QtM14bCSKTOHDgAD799FNV/g4cOJDsy0kZ1PZh6eYT+a6HGdvZYzx3uzZDrOkg5foHMfviLZsgtESsDzD9C0jdsSPWPh7LcVxJpNQ4VG6zYOV1Y6K04Ex0cXbQMzH0oKPX9Up2pqDltqI8kxGPXDsaTl8ALl8Qhbk5KCswR5Vtd/nQ0eOD40zqL24e0mShpV2xls13v+zus51VSk/Cp6nm2iGnTcjVh7PLVSP1HEFkCm57JwADbrnlFtXL9ntpMiEHLdLT/PqGcehy+uDwBGDjyb8KaOd7lJYr9Xtu/fh7QwAi0+EsqK9CtsGAX15xHu67Kgtdrr5c498pypVMB8nOV+sN9MKS0+db5CJknxDkewg9IBW/ocCSg3cXTRUci4T6LfO53e2D1ZyNLIMB2VkGlAiMA1qNQ1LXJ5RuK9a4FmxJ5LJrRiHYGwrPSfjqsLIkD0/fOB5dLh9OewLIN2fDaAACvSHYXfLyW+shBgdNsnWCFtuKxPQWhVZ5v0umPkpLu+Itm3u/DrNSuTFBxoQQ01Rz7YhFr8jWh+/g0YQPK8tXJfUcQaQ7ftdpACGMn7MY/auGq1Jm677d2P/GCwgE5AVvIdT1j3LGfq18j9Jy5f6eXT+MLzJnZwnmm62rLsFjM8cI1injW4SOn3xm5UluXfDZJwT5HkIPSMVvKMkz8W6LBvj77eUjyvri5by2P0rjPb+uCqv+cgDLrx0d0ae0fAaWuj6PP4gT3e6o88QT10LpOF5usyDYG8Jjbx+IqQ70EIODtounKVJ6CyaCoNzfJRot7dKibHaqALnpSuK1Qyg9AaPJE8qdanf5dJHagCBShfyySvSrPE+Vv7zSgcm+nIxFzpirle9RWm6sdrBTQj5w9Qje+CA7mzrx0Ov7JcsQyle7QyVfyYV8D6EXYm2nQv32vIE2LNm6j1fj/fLOZpw30JbQZ3Ox66urLsGuI52850lk/9XqGVkLW4WgSXaaIleLoAfNAh9a2qVF2WztmVz9W7x2yNGHC5WbbtpEgiAIKeSMuVr5HqXlxmoHW/845pzCmPTPTBlyfIlSyPcQqUCs7VSo34rFImA03ol8Nmeuj5uej1lZX9/QzHueRPZfrZ6RKYUXETdytQhqahbU1I7EojeWey6tdBps7ZnT68fKmWPgC/alPFCqqZZrh5Q+XKxcSjFCEEQmIWfMlVIbi43LYj6Q79xsvXOn0wec7AkfE49/YPSPX0lszZYqo83ujvl4Mcj3EKlALO1UqN9KxerxBnrDz7ZHTvbglMQqrRp64oqiXDw4fSSOn3JFpNNipyfjO0+i+q9Wz8iJHGtokp2myNUiqKVZUFs7EqveWM65tNRpKNGcqGWHmD5cqlxKMUIQRKagxpgr9BspH8g9t5DemTkmXlsLrSb0kxjbJcvIje940bLJ9xApgNJ2KtRvpWL1WHL6xoMn/noAN00cjNwco+jv1dITGw0G3Lpxj+LzJKL/avWMnEhou3iaIleLoIZmQWuNMxs5euNYywYSqwnTyg69XB9BEISekDM2xjJ+yvGB3HKF9M7MMfmW7LjH8Xh9AfkSglCGUJ9pPN4dlZKKoa66BKFQCC/vbMbwikK8vLMZu490yorto5W9ap8nFvRsm1xokp2myNUiqKFZ0FrjzEYNjZgedBpa2qGX6yMIgtATcsbGWMZPOT6QW65UvminNxD3OB6vLyBfQhDKEOozB1sdWHndmKjPGQ10nskYkd9eKLbPZJX7np77uJ5tkwttF08SichLLVeLEK9mIREaZ6V641jKlrpmJfdM7m+10oskW4dCEAShFL34RaXjp1wfyC630ynuyxxuP4b2z5e0Q6rO8kxGPHLtaDh9gXBe2rICs+x6JV9CSJGIfqsWyR5jmM/tbj+sJiOMWQYYswzoPrMLk9Fuu3xB3L25EQvqq7Cgriqsma7sZ8VAlVPryunjybrHqT7+0CQ7CSQyL7VcLUI8moVEapzVzLGp5JqV3DOl91crvQhp3giCSBX05he1iq8RLlemLxOzQ6rOxL4vtEpeVrTNBMEhkf02XvQwxgh9zs5vz+DyBSPiNQDAu4umqmqnlF1A8u9xKo8/tF08weg1L3U8JFI3kQyNhpJ7lo73lyAIQktSfdyMxS/F68uk6uxbhyel65TQP6nUb/VuKzu/fSK02HLRe73pHZpkJxi95qWOh0TqJpKh0VByz9Lx/hIEQWhJqo+bsfileH2ZVJ11OVO7Tgn9k0r9Vu+2svPb82mxk6VD1nu96R3aLq4RQvoFrfTL7PMV5uYgz5yNHk8gYfoJtXUTYvqPRGs0lNwzre4vQRBEusAd39WKtSF2vk6nD4HeEHpDIbi8ARRaTar6Rbl+ieurf33DOPR4Aop9mZSvcXgCot+TLyLiJZWed/RqK3csfPS6MXB5A1h2zSgEe0PhOArxPuPGqqmWW2/J0GynQiwAmmRrgJh+QQv9Mvt87NybO2PMIx0raukm5Og/EqnRUHLPtNSnEwRBpDp84/um2yaKHhPPuHmi242HXt+Pmy6q1NwvSvklMd82rCxf0bmkfI3NIv54R76IiJdUet7Ro61i40GVis/q8Wiq5dRbMjTbydaJy4W2i6uMlH5BjdyXYueTyr2pd/2EHvUfSrRz6ZDXjyAIQguExvddRzoFc8jGM24y5xs+0JZ0v6i2b5PyNcV55IsIbUml5x292ZqoZ914zyNVb/mW7IQ/s+txniAETbJVRkq/oEbuS7HzSeXe1Lt+Qo/6DyXauXTI60cQBKEFQuP7+oZmzKurwmSVx03mfHrwi2r7NilfU26zkC8iNCWVnnf0ZmuinnXjPY9UvTm9gYQ/s+txniAEbRePAUYH0OP1o8hqgi/Qix5vQJa2TK3cl+HyOHoJJseeEInSnait/7CajFhQXwVvIIjGli5N9Bdq6cBTPa8fQRBEvPDFCTklsMLA5IR9/c46ZBkMquVqZfxJovyimH18vo3xa7WDivryZp/skbwmJZpu8kWE1uiljckZG+KxVW39b6I04mqcR6zeGlu64i6fi1RdS12T3LE0EdAkWyGMDuCTY11YM7sWT/79YMQbcrnaMrVy0nH1Euwce2Ln1xK19R9snTk7Z6Ca+gu1deCpnNePIAgiHoTihCyoqxI8xuULIstgENQmx+JXGH+SCL8oZR/Xt8Xi12LRdJMvIrQm2W1MydgQi61a6H8TpRFX6zxC9ab2dcipa6lznvb4cePvd+tCo03bxRXA1gEIaZ/j1ZYp1Rpw9RLJzrGnhf5Da515Kuk7CIIg9IxYnJBY/VOsY3Sics/KsY/r25T6NfJTBBGN1v1Cq/LzLdmCc4X66hLkSwQulIvWWnQ1r0NuXYtdU111CRqPd/Melwxokq0Atg5ASOMVr7ZMqdaAq5dY39CM+XVVUY0+UboTLfQfWuvpUknfQRAEoWfE4oQw/klpDthYx+hE5Z6VYx/Xtyn1a+SnCCIarfuFVuU7vQHM4xmT6qpLMK+uCk6veAo+uWitRVfzOuTWtdA11VWXYH5dFdY3NPMelwxou7gC2DoAX5Bf48XWlhmzDAj2hs7kugvA5Q/C7vLJ0pAJwadv4OolbLk5ePrG8THl3owXJfYL6S641+PvDckuU2ubCYIgCGHY46nVZESO8ey7fJcviPu27MUTs8bivquGo8cTRJE1B/3yTCi3WWSVyYfYGF1RlIunbhiHTqdP9dyzUvZxY4mwNdSdTmW5wclPEUQ0WvcLrcq3u/24e3MjFtRXYUFdFbyBXpizs9B4vBv3bdmLzf/vP3C4vUcVDbiWuvlAbwjZBgN+ecV5uO+qLHS5fAj1AoHeXhgMBnT0+BCCPH20krpmX1Ons++6Go934+7NjXD5goLHJRqaZCuA0QFYTUacUyy8x9/lC8KYZYAlxxizhkwIIX0Dn16i3CZalCbItV9Kd8G+nsPtPbLK1NpmgiAIQhy2n1wzuxbGLEP4O6vJiMdnjcV6hfmq4x2jtdaMxhJLpATi9nCvifwUQUSjdb/QqnybJQcuXzBibADOjhsr3vwcOxSMkVJoMQae6HbjEY6dlw7vj8XfG4EVb32uaIwHlNd1+Jrae3Dj73fLPi6R0HZxBTA6gAX1Vdj3tV1U45Vnji13nN5y+SlFjv3x6s75ytTaZoIgCEIatp98eWczdh/pDPvKWONr6H2MjiWWSL4lW9E16b0OCCIZpOrzoVC5zLixQ6MYRGoRfo7n2DmyojBqgg3Isz/Wutbz2Egr2QpZce1onOh247b/3oM1s2sBIKIx1VWXYMW1o9Hjkc4dx/dWidEa3LdlL/Yc6wqn9wCAyn5WeAK96FBpC4kWsO3/kLNK/eSssQCAVrtHUd0IlXn5iDIsmzEKHT0+HOlwxlwfYjbrLdcjQRCEnim0mrDyujFoOeXCuu1NaGzpDvvK2kFFUSs3DKnsFwutJjwxayze/+okygrM8AZ6MaifVfRand5A1DGWHCO+dXhwybn9o+wnP0UQ0WjdL8TGnkHFVtXtnjS0RHTc+KbbjQ6nL+FjHFfemW0w4JNj0em7uGM8O02hN9CLVrsHnkAvrzwo1nup57GRJtkyYafuev6WC8Laaz49hcPtQ1BcRiypIVs7uxZdLj8efG0f1m1vith6pnQLRqIR0n84fUEs3NyI2RdVih4vV3duMmbhvj/vUyWtgl5yPRIEQaQyJ7rdWPbm5/jxxUMAIMJX5pnEHzlS2S+GAPxlbyt2NPX5o9/efL7o73s8flhyjBHHAH22Tz23P+8x5KcIIhqt+wXf2MMQz1jDZ7fdLb5SfbTThTte+TShYxyfvHNyTSnWzK6N0kB7A2fjVQlJZuqrS7DyujGoLMmLOles91KvYyNNsmXA3d7sPxP0jE9PAQDXjf+OZJlyNAIPvr4/vBVDauvZ2tm1SW9MbLj6D3Ydzps0RPRYObpzu8uHhZsbBbecx1Ifyc71SBAEkcqwx3n2y1TGVzIrQEKkql88u3XyrD+Sys1dmGuKOgaQtp38FEFEk4h+wR57GOIda7h2S8UgYsaVRI1xQvLOHYc60BsKYUF9VcQ8iD3uCY3PDU2duH/rPjx943jBFW016lIPkCZbBtyw8nJybsarERBLg8Il2SHq5cC+HjVyllI6E4IgCH0hNc7HO/br1S/y+SOpa/UFe8mHEUSKkKhnTrk5oNU+rxBi172zqTPqxWnj8e5wCmGx8bmhqRNdEhkW0gFdr2SvWrUKf/7zn/Hll18iNzcXkyZNwhNPPIHzzjsv/JtQKITly5fjhRdeQFdXFyZOnIjnnnsOo0aNUs0OJqw8oy2YUFmMa8YOxKNvHYja5sXe/x+PjoMbyp69BYOBrXXodPqAk/LC5CcD9vWsb2jm1bOL6Se4ehCpLTVahuwXSj1GEASRybB9ZY7RgIenj8Ijb52NPru+oRnr512I3Bwjhg+0hXV6xdYcVPazKk7xwucX2Ti9/oSM13ypZ8T83JOzxuKE3S1aphIfRj6JUAOmHdndPljN2cgyGJCdZUAJtae4U3nJ7aNC+mImB/TdmxsVnTdWOxj4rps998gzZWP9vAvxaUsX1jc042CrAyuvG4MHXtsvOT47POrkAtczup5kf/DBB7jzzjtx4YUXIhAIYOnSpbjiiivwxRdfIC+vby//k08+iWeeeQYbNmzAueeei0cffRSXX345Dh48iIKCAlXssFlyorQFTCP7z2nDYM7OQrHVFLX/Px4dBzeUPXfrmVR6ED1ptIHI6+HTsw8tzcPAQgtvZ+fTg2y6baLo+bQK2S+VeowgCCJT4frK339wBAvqqzCvrgoA8J3iXAy0WbDsmlFY8ue9in2XlF9kYzUZYcs1RcmKtBiv+VLPsP3cg1ePhMcfjIhP4vGLP4DK9WHkkwg14GtHzMRu1V8OYPm1ozO6PcWTyktpH2Xri7tcPtjdwjmglTzrxjJWcK9baO4xuaYUf7l7MoqtOSi0mrB2di1O2D2i9tgsup6CqoKut4v/7W9/w7x58zBq1CiMGzcOL7/8MlpaWvDJJ58A6FvFXr16NZYuXYrrr78eo0ePxsaNG+FyubBp0ybV7CjNN+HB6SMjtAWMxuzm//oIa949JCqwF9NxyE1Zwt16FmsqlGTBvR6m/m7duAev/qtFcIItpAfZdaQzvCWFi1Yh+5WmHiMIgsgkuL6SPc7funEPVr59AJ5AL5Zs3RdTihopv8jmwekj8eBr+xMyXgtt8XT5gth7vBsDCy0YX1mMYWX5AIDFW/ZiFyu1GRe5Pox8EqEGQu1oZ1MnXt7ZjPMG2jK+PcUqAY21jxZaTRhWlo+asnxs3HUU67Y3RU2wlTzrxmoH97qF5h47DnXgodf3R9jfL88k+JxeX12C4rz03x2h60k2F7vdDgDo168fAKC5uRltbW244oorwr8xm82YOnUqdu3aJViO1+uFw+GI+BOj0GrC+ZWxab9i1XEwW0aYxr2+oRnz66pkaR30qOfiXg+DVIh9ofpb39CMeXVVmKywvHggHbi2KO2XBEFoj5J+KcdXdjljH0el/CLDlJpSnF9ZFBVUTO55lKLEvzF+hLGdO9GerMCHkU/KXNT0l3J0t5nentR+hgXk9dFYz6uWHdzzK5l7lNssWHndmKjxmYkuzhf0LN1ImbX6UCiERYsWob6+HqNHjwYAtLW1AQDKy8sjflteXo5jx44JlrVq1SosX75c0fmdXnHtgJAuIh4dB1/aqqdvHI8eT6BPgx1juVKIaTbi0X7FEmJfqP6YrXiv31mHLIMhqjy7y4dOpw+B3hBCCMEQAnoBuLwBFFpNMWnWuLZw8//5AkHYXfx5XmMlk7R2sfRLgiC0RWm/5K62cJHS4Un5LjG/yPYDRzqccZ2HGXt7vH4UWU3wBXrR4w0IjsNy/RvjRxgfdvvUoVj8veHIMgDZWVkwZWehy+XD191uFOXmoKzALDjms30S1x9ZcozoDQnnEs0k35KOqOkvHR4/b/thdLaMtpbpM5nQdviuUU4f5x4XDIVgNRnh8gVl9VE+XXxOlgG/vmFcxBiXb8mG0xtAY0tXzNpqNnLnIkrnHpUleXj6xvHocvrg8ARgs2SjOM+UERNsIIUm2QsXLsTevXvR0NAQ9Z3BYIj4dygUivqMzZIlS7Bo0aLwvx0OBwYNGiT4+xPd7pj1U/HoOAD+kPTlNgASYf5j1SQLaTaemDUWISBu7ZfSEPti9efyBZFlMIS34LGv4aHX9+Omiyqx6aNjmDNxsCp5VNm2JEITn2laO6X9kiAI7VHaL60mo2h5Ujo8Ob5L0C9GnEf8YVCOhvKTY11YM7sWT/79oCz/Ice/cX3aqIpCrP7HV/jRfwyBJScL695rijgXs7LNN+YzZYnpJPmOzTTfko6o6S8Lc3N4209ddQnWzK5F9pnnaVtuTka0HalrFOrjYvmk79uyF4/PGivaR8V08f/7rxYsv3Y0hpXl40S3G7/8v3/Hpa3mInsuEsPco9xmyZhJNZeU2C5+11134Y033sB7772Hc845J/z5gAEDAJxd0WZob2+PWt1mYzabYbPZIv6EYHQMseqn4k3lJYQW5YppNt7/6iQW/ynx2i+l18lcw/CBNry8sxkjKwpV066zbdFaE5+JWjsl/ZIgiMSg1F9+2iKeuqo4TxufyEUNDaUW4zyfHxlZUYhWuztqgg30aR2FzsWUJaaT5B6bib4lHVHTX+aZs3nbz86mTmzY2YxgKIQpNaXIM2enfduJtX+I5ZPesLMZT5yZYAv10W8dHlm6eKHfKdVWs1Ey7mo1p0lXdD3JDoVCWLhwIf785z9j+/btqKqqivi+qqoKAwYMwLZt28Kf+Xw+fPDBB5g0aZIqNsSrn1JLT5GIcsU0G2UF5oTp29govU7mGhjdiJradbYtWmviSWtHEESq0dHjwyNvfcHrK+uqS7Di2tEot1k08Ylc1NBQajHO8/mR2kFFKLdZFJ+LKWvS0BLZx5JvIbj0eAKi+YytJiOemDUWPZ5A2redWPuH2HENTZ0YING/xWJVsHXxsca0UGvOoNWcJl3R9XbxO++8E5s2bcLrr7+OgoKC8Ip1YWEhcnNzYTAYcM8992DlypWoqalBTU0NVq5cCavVijlz5qhiA1c/xU47Zc7OQmU/KwZKbJGJRYvMJVZ9SCzXyobRkOSZxJuKGnmphXQ+Sq6TuQZGQ+QLim/zV2o3Y8tXEltm4q2PeHMyEgRBJBqHxy/oKxuPd8Ph9gHIU913qeE72NfAIJXnNdYctT1ePx6ZORrtp72yziN2roqiXLQpyLlNvoXgItUmzNlGDCzKRWNLl+jv0qHtSOWF7nT6gJM9URpoqeN6JOI6ScWqYMaIeGJaqDXuqj1+x0oqxAbQ9ST7d7/7HQBg2rRpEZ+//PLLmDdvHgDg3nvvhdvtxh133IGuri5MnDgR77zzjqo5shmYdCRs3l00VVY5SrXIbGLVhyhFLB9e7aAi0WPjzUst5xrlXCdzDebsLFhNRpxTLP4CJBa7C60m9JOwJd76iFc/QxAEkWiYcYvPVwLAdeO/E/7/eHwiG7V8BwN77LXkiOvL481Ru+m2iQD6/JVYHBmpcxXmyvdH5FsILlJtojA3R9bv0qHtyM0LzdVASx330twJEucVn46Zs/s2Htty44tpoda4q1Y5sZIqsQF0v12c74+ZYAN9Qc+WLVuG1tZWeDwefPDBB+Ho42qQbP1BIvVTYvnwxPKRxlsPal4jcw2Nx7vxwNUjsO9ruyZ2a90ukt3uCIIglJLocUsL/8i+hlAoJJrnNV/iwVjKzl1HOlFfXYLG492wmrJiPpeSeiffQnCR2yYyoe3IzQvNHWOkjpN6hhaLVVF3ZoyYUlMKmyVHlTEplUmluBK6nmTrgWTrDxKpnxLLhyekSVejHtS8RuYaDrY6MOacQjz69gFRfaCeNPGJLJ8gCEJtEj1uaeEf2ddgNBgwT8B/zKurkkztKWXn+oZmzKurwpetDhRYsmM+l5J6J99CcJHbJjKh7cSaF1rqOKlnaKFYFUx08YOtDjwxayw8/qAqY1Iqk0pxJdL/lYcKJFN/kGj9lFA+PD6d3ZASK76jwnZ1ta+xoigXT90wDl+198jSB8aK1u1CL7oXgiAIuSRy3NLKP7Jjb8xd/y9e/3H35sbwdu9Y7WT80+t31qHb7Rf0VXLOpaTeybcQXOS2iUxoO7HmhRY7jvssWmDJQUmeKaLu2Mfb3X25y41ZBhizDHjqhnEotJrQ2NIV1ziRDqRSXAmaZMskWfqDZGhghPLhcXV27y6aqkqdaHGNbN20HH1grGjdLpKteyEIglBKosYtLf0j40OE/IeS8sXsdPmCyDIYVDmXknon30JwkdsmMqHtxJoXWuw4dv9+d9FUDCvLFz6vADZLjipjUiqTSrEBaLu4zkmmBiZR506lXOIEQRCEPkiV2BhyyiF/RRD6I9Z+Sc+12pFKdUCTbJ2TTA1Mos6dSrnECYIgCH2QKrEx5JRD/oog9Ees/ZKea7UjleqAtounAMnUEmb7ewABAABJREFUwCTq3FqdJxP0QwRBEJlKqsTGkFMO+SuC0B+x9kt6rtWOVKkDmmSnCMnUwCTq3FqdJxP0QwRBEJlKqsTGkFMO+SuC0B+x9kt6rtWOVKgD2i5OEARBEARBEARBECpBk2yCIAiCIAiCIAiCUAmaZBMEQRAEQRAEQRCESpAmG0AoFAIAOByOJFtCEOlHQUEBDAaD4uPk9suenr58lPavj6A3EFRuIF+Z7d/0nbvtKMxmsyplalVuKtmqVblkK3C67Vhf+T09snyZ1v2SIAjlUL8kCP0Ra780hJiemcF8/fXXGDRoULLNIIi0xG63w2azKT6O+iVBaAf1S4LQH9QvCUJ/xNovaZINoLe3FydOnBB9U+FwODBo0CAcP348popONqluP0DXoBeUXkOsbwDl9Esp0qG+EwXVlXzSoa6S2S9TnXS4/8mE6k8YrfplOtR5OlwDQNehJ+ReQ6z9kraLA8jKysI555wj67c2my1lGxOQ+vYDdA16QetrUNIvpUiH+k4UVFfyycS6UrNfpjqZeP/VhOpPPeT2y3So83S4BoCuQ09odQ0U+IwgCIIgCIIgCIIgVIIm2QRBEARBEARBEAShEjTJlonZbMbDDz+sajTYRJLq9gN0DXohla4hlWxNNlRX8qG6ymzo/scH1V/iSYc6T4drAOg69ITW10CBzwiCIAiCIAiCIAhCJWglmyAIgiAIgiAIgiBUgibZBEEQBEEQBEEQBKESNMkmCIIgCIIgCIIgCJWgSTZBEARBEARBEARBqARNsgGEQiE4HA5QDDiC0A/ULwlCf1C/JAj9Qf2SIPQHTbIBnD59GoWFhTh9+nSyTSEI4gzULwlCf1C/JAj9Qf2SIPRHUifZH374Ia655hpUVFTAYDDgtddeE/zt7bffDoPBgNWrV0d87vV6cdddd6G0tBR5eXmYMWMGvv76a20NJwiCIAiCIAiCIAgekjrJdjqdGDduHNatWyf6u9deew0fffQRKioqor675557sHXrVrz66qtoaGhAT08Ppk+fjmAwqJXZBEEQBEEQBEEQBMFLdjJPftVVV+Gqq64S/c0333yDhQsX4u9//zuuvvrqiO/sdjteeukl/OEPf8B3v/tdAMD//M//YNCgQfjHP/6BK6+8UjPbCYIgCIIgCIIgCIKLrjXZvb29+NGPfoRf/epXGDVqVNT3n3zyCfx+P6644orwZxUVFRg9ejR27dqVSFMJgiAIgiAIgiAIIrkr2VI88cQTyM7Oxt133837fVtbG0wmE4qLiyM+Ly8vR1tbm2C5Xq8XXq83/G+Hw6GOwQRBxAz1S4LQH9QvCUJ/UL8kCP2j25XsTz75BL/5zW+wYcMGGAwGRceGQiHRY1atWoXCwsLw36BBg+I1lyCIOKF+SRD6g/olQegP6pcEoX8MIZ0k1TMYDNi6dStmzpwJAFi9ejUWLVqErKyz7wGCwSCysrIwaNAgHD16FNu3b8dll12GU6dORaxmjxs3DjNnzsTy5ct5z8X3BnDQoEGw2+2w2WzaXCBBpDh2lw/dLj+cvgCcviCKcnNQVmBGodWkSvmZ0i/tLh86enxwePyw5eagNM8UrkOx7wgiGWRKvySIVCJV+yX5OCKT2oBut4v/6Ec/CgczY7jyyivxox/9CPPnzwcAXHDBBcjJycG2bdtw4403AgBaW1uxf/9+PPnkk4Jlm81mmM1m7YwniDSjtduNY6dcWLv9EHY2dYY/n1xTiidmjUVFUW7c58iEfnmi243FW/Zix6GO8GdTakrx+KyxMAC4V+A7NeqXIGIhE/olQaQaqdgvxfwf+bjMINPaQFK3i/f09OCzzz7DZ599BgBobm7GZ599hpaWFpSUlGD06NERfzk5ORgwYADOO+88AEBhYSFuvfVW/OIXv8C7776LxsZG3HLLLRgzZkzUBJ0giNiwu3x4/6uTURNsANhxqAP3bdkLu8uXJOtSB7vLF+VcAODDM3X4/lcnBb+j+iUIgiBSFSn/Rz4u/cnENpDUSfaePXtQW1uL2tpaAMCiRYtQW1uLhx56SHYZzz77LGbOnIkbb7wRdXV1sFqtePPNN2E0GrUymyAyio4eH8oKzFETbIYPD3Wgoyf9Bke16ejxRTkXhg8PdaCsgH9VguqXIAiCSGWk/B/5uPQnE9tAUreLT5s2DUok4UePHo36zGKxYO3atVi7dq2KlhEEweDw+OEN9Ir+5rTHnyBrUheHRB2J1THVL0EQBJGqSPk/8nHpTya2Ad1GFycIQh/YLDkwZ4sPFQWWnARZk7rYJOpIrI6pfgmCIIhURcr/kY9LfzKxDdAkmyAIUUrzTWg/7UVddQnv91NqSlGan56RIdWkNN+EKTWlvN9NqSlF+2mv4HdUvwRBEESqIuX/yMelP5nYBmiSTRCEKIVWE6ad2x93XVoTNdFmoouna/oFNSm0mvD4rLFRTmbKmTqcdm5/we+ofgmCIIhURcr/kY9LfzKxDegmT3YycTgcKCws1H1+QYJIJuw82S5fEIUq58nmkq79kskRedrjR4ElB6X50Xmy+b4jCD2Qrv2SIFKZVOmX5OOITGoDus2TTRCEvii0pu9AmEjE6pHqmCAIgkhXyMcRmdQGaLs4QRAEQRAEQRAEQagETbIJgiAIgiAIgiAIQiVokk0QBEEQBEEQBEEQKkGTbIIgCIIgCIIgCIJQCZpkEwRBEARBEARBEIRK0CSbIAiCIAiCIAiCIFSCJtkEQRAEQRAEQRAEoRI0ySYIgiAIgiAIgiAIlchOtgEEQegbu8uHbpcfTl8ATl8QRbk5KCswo9BqSrZpaYfd5UNHjw8Ojx+23ByU5plSrp7T4RoIgiAI/UP+JrFQfSuDJtkEQQjS2u3GsVMurN1+CDubOsOfT64pxROzxqKiKDeJ1qUXJ7rdWLxlL3Yc6gh/NqWmFI+nUD2nwzUQBEEQ+of8TWKh+lYObRcnCIIXu8uH9786GTXBBoAdhzpw35a9sLt8SbIuvbC7fFHOCwA+TKF6TodrIAiCIPQP+ZvEQvUdGzTJJgiCl44eH8oKzFETbIYPD3Wgo4cGVjXo6PFFOS+GVKnndLgGgiAIQv+Qv0ksVN+xQZNsgiB4cXj88AZ6RX9z2uNPkDXpjUOiHlOhntPhGgiCIAj9Q/4msVB9xwZNsgmC4MVmyYE5W3yIKLDkJMia9MYmUY+pUM/pcA0EQRCE/iF/k1iovmODJtkEQfBSmm9C+2kv6qpLeL+fUlOK0nyKKqkGpfkmTKkp5f0uVeo5Ha6BIAiC0D/kbxIL1Xds0CSbIAheCq0mTDu3P+66tCZqos1EF6fUDepQaDXh8Vljo5zYlBSq53S4BoIgCEL/kL9JLFTfsWEIhUKhZBuRbBwOBwoLC2G322Gz2ZJtDkHoCnaebJcviMIE5cnOxH7J5KA87fGjwJKD0vzUy0GZDtdACJOJ/ZIg9E6m9kvyN4mF6lsZSV3J/vDDD3HNNdegoqICBoMBr732Wvg7v9+PxYsXY8yYMcjLy0NFRQV+/OMf48SJExFleL1e3HXXXSgtLUVeXh5mzJiBr7/+OsFXQhDpS6HVhMGleRhZUYgJQ/qhpryABlWNKLSaMKwsH+MrizGsLD8l6zkdroEgCILQP+RvEgvVtzKyk3lyp9OJcePGYf78+Zg1a1bEdy6XC59++ikefPBBjBs3Dl1dXbjnnnswY8YM7NmzJ/y7e+65B2+++SZeffVVlJSU4Be/+AWmT5+OTz75BEajMdGXRBBpA3sF2+kLoihBK9iEPJg3yg6PH7bcHJTm6f+NciraTBBStLS0oKODP72NUkpLS1FZWalKWQShB2jczzzonvehm+3iBoMBW7duxcyZMwV/8/HHH+Oiiy7CsWPHUFlZCbvdjv79++MPf/gDfvjDHwIATpw4gUGDBuEvf/kLrrzySlnnztRtNgQhRGu3G8dOubB2+6GIPNmMFruiKFdzG6hfCnOi243FW/ZG5K2cUlOKxxN0b2IhFW0moqF+GUlLSwuGDx8Bt9ulSnm5uVZ8+eUBmmgTitBrv6RxP/Oge36WpK5kK8Vut8NgMKCoqAgA8Mknn8Dv9+OKK64I/6aiogKjR4/Grl27ZE+yCYI4i93lw/tfncRbe09ETLABYMehDty3ZS/Wzq7NyLeSesDu8kU5MAD4UMf3JhVtJgg5dHR0wO12YeKCh2EbOCSushytR/HR+uXo6OigSTaR8tC4n3nQPY8kZSbZHo8H9913H+bMmRN+S9fW1gaTyYTi4uKI35aXl6OtrU2wLK/XC6/XG/63w+HQxmiCSEE6enwoKzBHTbAZPjzUgY4en+oDJfVLeXT0+KIcGINW9yZeUtFmog/ql/KwDRyCfpXnJdsMIkNIhX5J437mQfc8kpRI4eX3+3HTTTeht7cXv/3tbyV/HwqFYDAYBL9ftWoVCgsLw3+DBg1S01yCSGkcHj+8gV7R35z2+FU/L/VLeTgk6l6LexMvqWgz0Qf1S4LQH6nQL2nczzzonkei+0m23+/HjTfeiObmZmzbti1CazJgwAD4fD50dXVFHNPe3o7y8nLBMpcsWQK73R7+O378uGb2E0SqYbPkwJwtPjQUWHJUPy/1S3nYJOpei3sTL6loM9EH9UuC0B+p0C9p3M886J5HoutJNjPBPnToEP7xj3+gpKQk4vsLLrgAOTk52LZtW/iz1tZW7N+/H5MmTRIs12w2w2azRfwRBNFHab4J7ae9qKsu4f1+Sk0pSvPV3+5D/VIepfkmTKkp5f1Oq3sTL6loM9EH9UuC0B+p0C9p3M886J5HktRJdk9PDz777DN89tlnAIDm5mZ89tlnaGlpQSAQwA9+8APs2bMHr7zyCoLBINra2tDW1gafzwcAKCwsxK233opf/OIXePfdd9HY2IhbbrkFY8aMwXe/+90kXhlBpC6FVhOmndsfd11aEzXRZqKLZ5KmRm8UWk14fNbYKEc2Rcf3JhVtJgiCIGKHxv3Mg+55JEkNfLZnzx5ccskl4X8vWrQIADB37lwsW7YMb7zxBgBg/PjxEce99957mDZtGgDg2WefRXZ2Nm688Ua43W5cdtll2LBhA+XIJog4GFiUC6vJiJUzx8DpC8DlC6KQ8mTrhoqiXKydXYuOHh9Oe/wosOSgNF/feShT0WaCIAgidmjczzzonp8lqZPsadOmQSxNt5wU3haLBWvXrsXatWvVNI0gMp5Ca2YOiqlCKt6fVLSZIFKZlpYWdHTwR/tVSmlpKaUWIxRD437mQfe8D8WT7KNHj2LHjh04evQoXC4X+vfvj9raWlx88cWwWCxa2EgQBEEQBEEooKWlBcOHj4Db7VKlvNxcK7788gBNtAmCIGQge5K9adMmrFmzBv/6179QVlaG73znO8jNzcWpU6dw+PBhWCwW3HzzzVi8eDEGDx6spc0EQWiI3eVDt8sPpy8Apy+IItomnjTsLh86enxwePyw5eagNC+2t8NqlUMQROrQ0dEBt9uFiQsehm3gkLjKcrQexUfrl6Ojo4Mm2RkG+Q9CT6RSe5Q1yT7//PORlZWFefPm4Y9//GPUAOv1erF79268+uqrmDBhAn7729/ihhtu0MRggiC0o7XbjWOnXFi7/RB2NnWGP2cCnlUU5SbRusziRLcbi7fsxY5DZ7d6TqkpxeMK74Na5RAEkZrYBg5Bv8rzkm0GkYKQ/yD0RKq1R1nRxR955BHs2bMHCxcu5H2DaTabMW3aNDz//PM4cOAAhgwZoradBEFojN3lw/tfnYyaYAPAjkMduG/LXthdviRZl1nYXb4oRwIAHyq8D2qVQxAEQWQW5D8IPZGK7VHWJPvqq6+WXWBpaSkuvPDCmA0iCCI5dPT4UFZgjppgM3x4qAMdPfobxNKRjh5flCNhUHIf1CqHIAiCyCzIfxB6IhXbY9x5snt7e9Hc3IxgMKiGPQRBJAmHxw9voFf0N6c9/gRZk9k4JOpZ7n1QqxyCIAgisyD/QeiJVGyPiibZW7duxR//+Mfwv48cOYKhQ4di2LBhqKiowJ49e1Q3kCCIxGCz5MCcLT4kFFhyEmRNZmOTqGe590GtcgiCIIjMgvwHoSdSsT0qmmT/+te/ht9/9k3Bgw8+iBEjRmDv3r2YMWMGFi1apLqBBEEkhtJ8E9pPe1FXXcL7/ZSaUpTm6zOCY7pRmm/ClJpS3u+U3Ae1yiEIgiAyC/IfhJ5IxfYoa5Ld0tKCY8eOoampCcXFxeF//+1vf8Ntt90Gm82Gn/zkJ/j3v/+NlpYWtLS0aG03QRAqU2g1Ydq5/XHXpTVRE20murhe0ySkG4VWEx6fNTbKoUxReB/UKocgCILILMh/EHoiFdujrBReL7/8MgDA5XLhr3/9Kz7++GN8/fXX8Hq9+Pzzz7F//3709vbC7XZjw4YNAICHHnpIM6MJgtCGgUW5sJqMWDlzDJy+AFy+IAopT3ZSqCjKxdrZtejo8eG0x48CSw5K85Xng1SrHIIgCCKzIP9B6IlUa4+yJtkPP/wwAODNN99ESUkJHn74YfzqV7/ClClTwpPp5uZmrF+/nibXBJHiFFr1O2BlGmrdC7qnBEEQRCyQ/yD0RCq1R1mTbIbFixdjzpw5ePzxx5GVlYVt27aFv3v99ddRX1+vuoEEQRAEQRAEQRAEkSoommTfcMMNGDduHPbt24cLLrgAQ4YMCX83YsQIXHXVVWrbRxAEQRAEQRAEQRApg6JJNgAMGTIE5557btTnV155JTo6+JOEEwRBEARBEARBEEQmoCiFFwDceOON6O3tjfr822+/xbRp09SwiSAIgiAIgiAIgiBSEsWT7NbWVtx6660Rn7W1tWHatGkYPny4aoYRBEEQBEEQBEEQRKqheJL9l7/8Bf/617/w85//HADwzTffYOrUqRgzZgz++Mc/qm4gQRAEQRAEQRAEQaQKijXZJSUl+Pvf/x6OJP7222/j/PPPxyuvvIKsLMVzdoIgCIIgCIIgCIJIGxRPsgHgnHPOwbZt21BfX4/LL78cf/jDH2AwGNS2jSCIBGB3+WB3+REMhdAbAjyBIFy+IIpyc1BWYE6ZfITpgN3lQ0ePDw6PH7bcHJTmnc0HKfadnO/VsoMgCIIglKLEr5APSizJrO90vteyJtnFxcW8k2iXy4U333wTJSUl4c9OnTqlnnUEQWhKa7cbx7tcCJ2ZYK97rwk7mzrD30+uKcUTs8aioig3iVZmBie63Vi8ZS92HDqbpWFKTSkenzUWBgD3CnxXUZQreqzSe6dmWQRBEAShxK+QD0osyazvdL/XsibZq1ev1tgMgiASjd3lw/tfnUQoFAIAvL2vNWKCDQA7DnXgvi17sXZ2bdq8WdQjdpcvytEAwIdn6v+qMQMFv/v1DeNEj1Vy76TsoHZAEARBKEGJXyEflFiSWd+ZcK9lTbLnzp2rtR0EQSSY9tNelBWYw//mTrAZPjzUgY4eX8oPdokilq1PHT2+KEfD8OGhDsydNETwuy6n+LFK7p2UHanSDtJ5+xlBEEQqocSvSP22/bSXxnIVaT/tTZrPT5fnDTFkRSpzOp2KCpX7+w8//BDXXHMNKioqYDAY8Nprr0V8HwqFsGzZMlRUVCA3NxfTpk3D559/HvEbr9eLu+66C6WlpcjLy8OMGTPw9ddfK7KXIDKN1m43Tjl98AZ6w39inPb4E2RZanOi242Fmxtx2TMf4Lrf7sJlT3+AuzY34kS3W/Q4h0T9it0fhycgeqySeydlRyq0g1jvAUEQBKE+SvyK1G9bTrloLFeJE91utJxyif5GS5+fDs8bUsiaZFdXV2PlypU4ceKE4G9CoRC2bduGq666CmvWrJF1cqfTiXHjxmHdunW83z/55JN45plnsG7dOnz88ccYMGAALr/8cpw+fTr8m3vuuQdbt27Fq6++ioaGBvT09GD69OkIBoOybCCITIPZJh7oDcGcnRX+E6PAkpMg61IXqa1PdpdP8FibRP2K3R+bRXxDkpJ7J2WH3ttBPPeAIAiCUB8lfkXqtwBoLFcBxldKoaXPT/XnDTnI2i7+/vvv44EHHsDy5csxfvx4TJgwARUVFbBYLOjq6sIXX3yB3bt3IycnB0uWLMFPfvITWSe/6qqrcNVVV/F+FwqFsHr1aixduhTXX389AGDjxo0oLy/Hpk2bcPvtt8Nut+Oll17CH/7wB3z3u98FAPzP//wPBg0ahH/84x+48sorZdlBEJkEs01895FOVBRawp/XVZfwbhmfUlOK0vzU3rKTCORufeLbylyab8KUmlJ8yHP8lJpStJ/28pY7paYUxXnixyq5d1J26L0dZML2M4IgiFRCiV8R+21ddQkaj3cnZCxPd8kR4yvHDSpK2rNfop43knkvZa1kn3feefi///s/HD58GDfddBNOnDiBP/3pT3jxxRfx/vvv4zvf+Q5efPFFHD16FD/96U9hNBrjNqy5uRltbW244oorwp+ZzWZMnToVu3btAgB88skn8Pv9Eb+pqKjA6NGjw78hCOIs7G3i6xuaMbAwF8P652FY/zwsvKQaddUlEb9noounk3PRCjlbn4S2Mrt8QTw+ayym1JRGHDPlTP1PO7e/4HflNovosUruXaHVhEdnjkY9px3UV5fg0Zmjdd8OMmH7GUEQRCpRaDXJ9lHMbydzfltXXYL5dVVY39AMQNuxPBMkR4yvXN/QjPl1VUl59lPSLmIl2fdSUZ7sc845Bz//+c/x85//XCt7wrS1tQEAysvLIz4vLy/HsWPHwr8xmUwoLi6O+g1zPB9erxde79mVIYfDoZbZBKFbvnV48P7BdlSW5MGcnQWXL4g7N32K26cOxWXDy2AxGbFixuik5clO9X4ptfXJkmPE4j/9Gzs4b4w/PNSBxWciaa6dXYuOHh9Oe/wosOSgNP/sG1ex7yqKckW/l4vd5cOKt77A+MpizK+rgjfQC3N2FhqPd+ORt77AUzeMU1Rmot8gZ8L2s0ST6v2SINKRVOiX7PG/MDcHv75hHHo8AUkfVVGUi0evHY2mkz0RPujuMy+kAe3G8kyIeA2c9ZUuXxB3b27EgvoqLGD5/Or++RiYgBRaYs8u8T4/6OFeKppkJwNufu5QKMSbs1vJb1atWoXly5erYh9BpALMCnaZzRLeJs5sEXp22yE8u+1Q+LdTakqT4khSvV9KbXPzBXujJtgMzPa3YWX5gvVeaBV3MFLfy6Gjx4d/HGjHPw60C34v9xzJyH+Z6tvd9Uiq90uCSEf03i/Fxv9hZfmSxxdZc7Bx19GEj+WZIjli+0qXL4h125vC3zHPgImC79lFjecHPdxLWdvFk8GAAQMAIGpFur29Pby6PWDAAPh8PnR1dQn+ho8lS5bAbreH/44fP66y9QShH5gV7DaHJ2KbuN62h6d6vxTa+sRsc2u1e0SPP+3xw+7y4XB7DxpbunD4ZE9cwV1iKUut7dbJCkCWiO1nmUaq90uCSEf03C/VGP/VGsuV+sFMkRzp0Vcy9+qrb0/37fqL8/lBD/dStyvZVVVVGDBgALZt24ba2r43Kj6fDx988AGeeOIJAMAFF1yAnJwcbNu2DTfeeCMAoLW1Ffv378eTTz4pWLbZbIbZbBb8niDSBfYKNoCobeKLvzccQN+WoewsA/oXmBOyRYiPdOiX7K1PXS4f7G5/eJub1JvhXJMRCzc3qrLyG+tbYLW2WyfzDbJaW+eJPtKhX6YaBw4c0FU5hP7Qc79Ua/yPdyyPxQ9mkuRIT76Sfa9emjtBctefHBv1cC+TOsnu6elBU9PZLQrNzc347LPP0K9fP1RWVuKee+7BypUrUVNTg5qaGqxcuRJWqxVz5swBABQWFuLWW2/FL37xC5SUlKBfv3745S9/iTFjxoSjjRNEpsKk6iorMMMb6MUXrQ5Z28SJ+GC2PjW2dOHWjXvCnzce7xaN4vlpS7cq2qF4dEhqbbdO9htkNbbOE0Sicds7ARhwyy23qFqu30vpjojEoeb4H+tYHqsfzDTJkR58JfdeeQO9or+X2370cC+TOsnes2cPLrnkkvC/Fy1aBACYO3cuNmzYgHvvvRdutxt33HEHurq6MHHiRLzzzjsoKCgIH/Pss88iOzsbN954I9xuNy677DJs2LBBlQjnBJHKdPT4UFbQ96bbnJ2F9Q3NeG7O+Vh4STUAREz2KIq4+nDfoq5vaMaaMy8x2HU/paYUK64dje+v2cFbjtKV33hWEZgtZPdt2RvhmJRuIdPDG2SCSDX8rtMAQhg/ZzH6Vw2Pu7zWfbux/40XEAgE4jeOIGSih/E/Vj+olg8k5MO9V+ZscSWz3Pajh3sZ0yR7x44d+P3vf4/Dhw/jT3/6E77zne/gD3/4A6qqqlBfXy+7nGnTpiEUCgl+bzAYsGzZMixbtkzwNxaLBWvXrsXatWuVXAJBpD0Ojz9iBbu2soh3m7glx4iBhRaU2ywSJRJK4L5FZUfxvHNaNSw5RhTm9m3POtrpDEdN5UPJm/94VxHU2EKmhzfIBJGq5JdVol/leXGX42g9Gr8xBKEQPYz/8fhBPW2jzgS490pq15+S9pPse6k48NmWLVtw5ZVXIjc3F42NjeEUAqdPn8bKlStVN5AgiNiwWXLCK9hMoLPayiI8u+0QZqzbiRnrduK595pQXmCmCbYG8AUWcfmC2Hu8G1WleTh/cHE4mni+Wb03/2qsIhRaTRhWlo/xlcWiEc/FjtdbUBWCIAhCe/Qw/sfrB+P1gYR8+Hb98eXujrX9JPNeKl7JfvTRR/H888/jxz/+MV599dXw55MmTcKKFStUNY4giNgpzTfhX0dP0Qp2EpH7FjWWN/9COST1sIoAJP8NslokOtc3QRBEKmN3+eDxB/HA9JHoDYXg8gbDu7YSNXbqxQ8S0sjd9ZdvyYbTG0BjS1fK+GLFk+yDBw9iypQpUZ/bbDZ0d3erYRNBECrgcPsxtNSKhZdUY917TRGBzibXlOLJWWNpgp0A5AQWUaodkoqammwdEoMegqrEQzJyfRMEQaQqYmNmon2PXvwgIQ7fvWJ2/d18USUGFuXiRLcbv/y/f6ecL1Y8yR44cCCampowZMiQiM8bGhowdOhQtewiCCIOvnV4cN/WfWhs6Y5ewc42osyWvFRdBD9yV37lRE1Nl1XkZBJPlHaCIIhMQ29jJvnB1EHsXumtXSlB8ST79ttvx89+9jOsX78eBoMBJ06cwO7du/HLX/4SDz30kBY2EgShkC6nLxw0gpuqCwD+9rPJun77l6nIWfmVGzU11VeRk00yc30TBEGkGnocM8kPpg5C90qP7UouiifZ9957L+x2Oy655BJ4PB5MmTIFZrMZv/zlL7Fw4UItbCQIQiEOj3jKFqnvCf2S7BzUmQLVM0EQhHxozCS0IJXbVUwpvB577DEsXboUX3zxBXp7ezFy5Ejk5+erbRtBEDFis4h3banvCf2ihxykmQDVc3rT0tKCjg7+1RElHDhwQAVrCCL1oTGT0IJUblcxP2lbrVZMmDBBTVsIglCJ4jwT6qtL0MCTZ7C+ugTFefrcWkNIQ1FTEwPVc/rS0tKC4cNHwO12qVam3+tTrSyCSEVozCS0IJXbleJJtsfjwdq1a/Hee++hvb0dvb29Ed9/+umnqhlHEERslNssWHndGNy/dV/ERLu+ugQrrxtDUcVTGIqamhiontOXjo4OuN0uTFzwMGwDh8RVVuu+3dj/xgsIBEiCQ2Q2NGYSWpDK7UrxJHvBggXYtm0bfvCDH+Ciiy6CwWDQwi6CIGLA7vLB7vIjGAoBAB6bOQYufxCnPX7YLDkozjPRBFtllOZRViPvMkVN1S5/Nbvcwtwc/PqGcejxBDK2ntMZ28Ah6Fd5XlxlOFqPqmMMQaQ43PzYTm8AeaZsZGUZ4PYHYXfpN0BVpqOVP1XLhlR95lE8yX777bfxl7/8BXV1dVrYQxBEjLR2u3G8y4VQKITeELDuvaZwhHGgLzf2E7PGJtHC9ENpHmU18y5nctRUrfJXi5U7rIzijhAEQfDBHjutJiPWzK7FyzubI55BUiGvcSailT9V24ZUfObJUnrAd77zHRQUFGhhC0EQMrG7fGjpcKL5ZA+OnOzBsU4n3j/Yjqb2Hhw+6YyaYAPAjjM5Be0u0g6qgVjuxsVb9uKrb0/j8MmecH1L5Xrs24Xgw+H2HjS2dEUcK4cT3W4caHXgoyOd+LLVgRPdbkXXEut5E42cetRTuQRBEOkE11986/BEjJ0L6quiJtiAumNpKvmsZCC3fmL1e2rWvx5s0ArFK9lPP/00Fi9ejOeffx6DBw/WwiaCIERgr1gz5JtzUMbaBs51bgx6zymYSojlbtxxqAPHT7lw68Y94bexbl9QNNdjm8ODR98+ENPb5GOdTty/dV/Efa+vLsFj143B4JI80WP18BZbCVrlzEzlXJwEQRCJgM9fbLptYsS/awcVYd32Jt7j1RhLU81nJRol9ROL31O7/vVgg1YoXsmeMGECPB4Phg4dioKCAvTr1y/ijyAI7fjW4YlYsWb+2hweeAO94T8x9JxTMJWQyt3I3Ifw21i3+FvWr7vcslfF2ZzodkdNsAGgoakTS7fuE13R1np1XQu0ypmZyrk4CYIgtEbIX3S7I8dGJc8gSv0L7TgSR2n9KPV7WtS/2jZ86/Do5plF8Ur27Nmz8c0332DlypUoLy+nwGcEkQCYgGanvYGIFWs25mx578z0nFMwlZDK3ci+Hx8e6sD93x8R03n4VsXZb2rtbr/gzoWGpk7Y3X7BN7tSb5DjWV2PF6EgKFrlzEzlXJwEQRBaI+QvuM8eUs8izFgay2pk+2kv7TgSQemqsFK/p8WOL7VtONzegzn/9VH4s2SucCueZO/atQu7d+/GuHHjtLCHIAgOrd1udLv9aGzpQrnNwvuW+ItWByoKz06+66pLeCdees8pmEqI5W6sqy5B4/HuiM+MWQbB30+uKY36PRvuqvja2bVhR+Zwx74CK/UGWWh1nWuD2og9fGmVMzOVc3ESBEFojZC/aDzeHfHMwf03G2YslVqN5PMvJ7rdaDklnts+03ccKV0VVur3tNjxpbYN3J0ViXhmEULxdvHhw4fD7ZYfUIcgiNixu3x4/6uTOOX0hVNvmbOzov7WNzRjYGEuhvXPw7D+eVh4STXqqksiymKii2fyW141YXI3Tqkpjfi8rroE8+uqsL6hOeJzY5aB9/dTakrxyLWjo37Phrsq3tFzdvuTLTf2FVipN8hCcG1QE6mHLwCC9RhP+xa6n6mQi5MgCEJrhPzF+oZmzK+rwuTq0oh/13OeQdhjqZwVUTaMX5Ai03ccKV0VVur38s3ia7N5Et/zodQGJbsIGbR8ZhFDcW08/vjj+MUvfoHHHnsMY8aMQU5O5MXabDbVjCOITKejx4eyAjPsZ97McVesGWori3Dnpk9x+9ShuGx4GSwmI1bMGA1PIAiXL4ii3ByUFZhpoqAy7NyNdrcfHn8Qu4504u7NjXD5guHfTakpRcmZ7c58uR4BYMLgYtmr4uy3xfkmI+qrS9DAs2pQX12CfJNR0H6xN8hSq+tarRjIefgaVpavSc7MVM3FSRAEoTVC/sLlC2LzR8cwr24I5tUNgTfQi2yDAfPrqnDnJdUwZxtRmBs5lipdEWX8wrhBRbRTT4RYdmQp8XsmY5Zg/ddVl8BkVLx2q9gGpbsIGZKxy0HxJPt73/seAOCyyy6L+DwUCsFgMCAYDPIdRhBEDDg8fngDveE3c+sbmvHcnPNhNUUOZAsvqca695rw7LZDeHbbIQB9k6QnZ43FqAr9RFpMR9i5G090u/H8B4ejJtjst7FCuR4fnzUW923ZG+E4mFXxuzc3RvyW/Tba4fHhkZmj8eBr+yMm2vXVJXhk5hic9vgA8EcYZ94gc887paYUK64dje+v2SF43VqtGMh9+NIqZ2Yq5uIkCILQGjF/8fA1o/DIW19g24H2iM+fmDUWA3m0sEpXXBm/sL6hGWtm1wKIzKJCO/X6ELtHYvUj1+91u32YX1cFILL+mWeVvgCv4hlNxGyXY4PQNU6uKcXcSUOinpcYkrHLQfEk+7333tPCDoIgeLBZcnDK6UPj8W5UFFp4V6yz0Bd8kFauk088K6FKVsXZb6MtOTn48Uv/wnM3n4/7jVk47fajIDcHgWAvfvzSR9gw/6KYbAaEV9e1XDGgAGQEQRD6RMzHPXXDONm+T+mKK+MXXL4g7t7ciAX1VVhQVxVehKjun887mc9EtNyRlW/OwewXP4qq/8bj3bh7cyPeXFivwhVIw3eN+ZZsPLB1X8TzEkOydjkonmRPnTpVCzsIguChNN+Efx09hS9O2HFBZbHoijU5GH0Qz0qo0lVxoK+NVJXmYca6nVHlyXUsSlbXtdYoUwAygiAI/SLkL5T4PqUrrmy/4PIFI/JwT6kpxdozq9tEH1rtyCrNN2HC4GLePOiJ9s9817j82tHwBhL7zCKGcoU6gO7ubrz00ks4cOAADAYDRo4ciQULFqCwsFBt+wgi46kbWoKq0jy88OFhjBtUhMXfGw4AcPuCKLLmYIDNQivWEE75pGfEbJb7NjrW7WFySIZGWcvrIQiCIPhJtA9V4l/IL+gDPd4HdrstzM3Br28Yhx5PQBdxVRRPsvfs2YMrr7wSubm5uOiiixAKhfDMM8/gsccewzvvvIPzzz9fNeMCgQCWLVuGV155BW1tbRg4cCDmzZuHBx54AFlZfZrUUCiE5cuX44UXXkBXVxcmTpyI5557DqNGjVLNDoJIBq3dbhw75QpPru/57rkAzk6uB/ezkmM5Qyz5NpONHJvlvo3WcjKcDI0yBSAjCIJIHMnyoUr8C/kFfaCn+yDWboeV5SfcHi6KJ9k///nPMWPGDLz44ovIzu47PBAI4LbbbsM999yDDz/8UDXjnnjiCTz//PPYuHEjRo0ahT179mD+/PkoLCzEz372MwDAk08+iWeeeQYbNmzAueeei0cffRSXX345Dh48iIKCAtVsIYhEwqTuemvvCexs6sT2L0+Gt4cDtD2KTSz5NpONFjanW8CudLsegiAIPZJKPpT8gj7Qw31IhXYb00o2e4INANnZ2bj33nsxYcIEVY3bvXs3rr32Wlx99dUAgCFDhmDz5s3Ys2cPgL5V7NWrV2Pp0qW4/vrrAQAbN25EeXk5Nm3ahNtvv11VewgiUbSf9qKswMybJgE4m8oo2QOIHpCT8imZ9cS3BU/vNqc7qSgtIAiC0IJM9EfkA5KHWnWfCu1W8STbZrOhpaUFw4cPj/j8+PHjqq8c19fX4/nnn8dXX32Fc889F//+97/R0NCA1atXAwCam5vR1taGK664InyM2WzG1KlTsWvXLppkEylJa7cbp5w+eAO9or9LRs4/PaI032YiEdrKdPdlNaLH0b3VjlSUFqQqLS0t6OjgfwhSSmlpKSorK1UpiyCIs+jZh2oB+YDkoWbdp0K7VTzJ/uEPf4hbb70VTz31FCZNmgSDwYCGhgb86le/wuzZs1U1bvHixbDb7Rg+fDiMRiOCwSAee+yx8Hna2toAAOXl5RHHlZeX49ixY4Ller1eeL3e8L8dDoeqdhMEF7vLB7vLj2AohJDI74xZBuxq6kBlSV44N7YQ6ZbKKNZ+meyUT0JvZcW2Mv3n1GGiZfLZfKLbDbvbD4e7L7iHLTdH1Cmx7co3Z8NkzEK324d8Sw7yzdlwegOwu5W/SeYGGckzZ6PHE5D1VjrZqwepsL1Mb8TaL/texo+A2+1SxY7cXCu+/PIATbQJArH1y28dHnQ5fXB4ArDlZqPYakK5zaK5D2XGfbvbB6s5G1kGA7KzDCjJ6xtr2T4hHt8k1xbyAcoRe86R+zygtO7tLh86nT4EekPoDYXg9AaQb86G4Uz7yTeLT2H18IyseJL91FNPwWAw4Mc//jECgQAAICcnBz/96U/x+OOPq2rc//7v/+J//ud/sGnTJowaNQqfffYZ7rnnHlRUVGDu3Lnh3xkMhojjQqFQ1GdsVq1aheXLl6tqK0EI0drtxvEuF0Ihsel1H/nmHJTZLNh9pBMVhRbUVZfwbhlPx1RGsfbLZKZ8Ensr6/YFBbcy7TrSicnVpdjRJM/mY51O3L91X0RbqK8uwWPXjcHgkjxZdtVVl2B+XRVmv/gRzq8swry6qnAObrlvktnlWk1GrJldi5d3NkfYJVSWHlYPUmF7md6ItV92dHTA7XZh4oKHYRs4JC4bHK1H8dH65ejo6KBJNkFAeb9s6XRiCY8PWXndGE19qJAvurW+Ch09Xqx9tynCD9ZXl8Tkm+RCPkA5Qr770ZmjseKtL/CPA+2yngeU1P2Jbjceen0/brqoMqpM5lmmy+nD5JpS3jL18owsvlTGg8lkwm9+8xt0dXXhs88+Q2NjI06dOoVnn30WZrNZVeN+9atf4b777sNNN92EMWPG4Ec/+hF+/vOfY9WqVQCAAQMGADi7os3Q3t4etbrNZsmSJbDb7eG/48ePq2o3QdhdPrR0ONHS6cT7B9vR1N6Dwyedkn9tDg+8gV6sb2jGwMJcLLykGnXVJRFlT07TlBWx9ksmpcSUmtKIz9VMKWF3+XC4vQeNLV04fLLnzM4E4beyi7fsxSmXT7C89Q3NeGD6iKh7O6WmFCuuHY2jnc7weU50u6Mm2ADQ0NSJpVv34US3O8pWPrt2NnXi5Z3NWFBfhQbW/zM237dlL+wiNnPLXVBfFeX8hMqSqquvvj0dvl4tSYXtZXojXn9pGzgE/SrPi+sv3kk6QaQbSvrltw5P1AQb6PMh92/dB2+gNy4fyucfmc8FfVFDM5rae6JeNMfim5Qg5QPsbvIBbMR89/1b92H4QBsAec8Dcv0vc87hA228ZTLPMifsbtx5SbVkuxVqn4lA8Uq23W5HMBhEv379MGbMmPDnp06dQnZ2Nmw2m2rGuVyucKouBqPRiN7ePq1qVVUVBgwYgG3btqG2ti/Sss/nwwcffIAnnnhCsFyz2az6CwGCAM5uC29zuBHC2ZVpJZizs+DyBXHnpk9x+9Sh4bzYLl8Q2VkG9C8wY2Aa6obi6ZdappQQeou79OoRgm9ldxzqwL3fO0+wTJcviNZuD2ori7GgrgreQC+qSvPwWUs3vr9mB1y+YPg8S74/QjAAXkNTJ+xuf8RbfrG3xTubOrGgrirq/wHpt/jccmsHFWHd9ibe33LLErNpx6EOHD/lwq0b92i+sp1saUEqQv6SIPSHkn7Z5fSJ+pBTTh+GD7TF5ENj3c21o6kT81j+h41S36QEKR/g8Qdxotsd9kHJljglGzHf3dDUifln7pOc5wG5/rf9tBc7DnVg3qQhgmUybWTBho/x17snI9Ab4m23yd5Bp3iSfdNNN+Gaa67BHXfcEfH5H//4R7zxxhv4y1/+oppx11xzDR577DFUVlZi1KhRaGxsxDPPPIMFCxYA6Nsmfs8992DlypWoqalBTU0NVq5cCavVijlz5qhmB0HIobXbjW63H40tXeHPym0WyQBmbL5odURsE3922yFK3SUTLVJKiL3FndvlFjiqj0AwJLjdv666BHtauiIcyKs/+Q8s2bov6jx3SrxZ566+Sr0tZrdHbtsUW8nllqskMJ9cm7TWxSVTWkAQBJEMHJ6ArO+V+lApje093xUP8CnmQ5T4JiWI+YC66hLsOtKJ5z84jLWza+H0BZMucUo2cn23nOeBqtI8Sf97otuNllMuWWV6A71w+YLocvkwvrI46ns96O8Vbxf/6KOPcMkll0R9Pm3aNHz00UeqGMWwdu1a/OAHP8Add9yBESNG4Je//CVuv/12PPLII+Hf3Hvvvbjnnntwxx13YMKECfjmm2/wzjvvUI5sIqF86/Dg/YPtOOX0odxmCf8BfSvTcv8ycZu4nhF7iyuF3eXH/LqqqPvI6InWNzRHfJ5nNvKWU5CrbPVV6m0xO6AeN7ie2Eout1wlgfmU2MS89dYCIWnB5JpSPDxjFDqdvoRuJSMIgtAam0V8PY35Xum2WimNrdUkfl4xH6LENymB8QGTOT6A7Zc/PNSB9tNe0QlapvgJub5bzvOAlLQPABZv2RtVttS588zZvO1WjgZcaxSvZHu93nDAMzZ+vx9ut/jKjlIKCgqwevXqcMouPgwGA5YtW4Zly5apem6CkAuTcqvMZonS8zAr03KprSzi3SZuyTFiYOHZiTuRGMTe4jYe7xYMusGsVK9v6NOWLairQmFuDryBXuw+0hkO6sJQX12Cdoc3qhwACAR7UV9dggaeFfH66hIUcibhUm/qG493R/0/IL2Syy238Xi37MB8cm1i0FIbzZYWdLt98Pp7setIJ65Z26BJoB2CIIhkUpxnEvUhxXmmmLbVSq1yGrMMguP+5OoSfOvw8B6n1DcppaIoFw9OH4njp1zwBnphzs5C4/HuCL9sd/spQBrEfXc96z7JfR4Qk/Ydbu/BjkMdGDeoKNwGxHYDMs9ge451Ycmf90Wc7/FZY3URg0XxSvaFF16IF154Ierz559/HhdccIEqRhFEqsCsYDMBy4RWpof1z5P1t/CSatRWFuHZbYcwY91OzFi3E8+914TyAjNNsCXQIriF2Fvc9Q3NeOTa0VFvZdlvxF2+INZtb8KtG/cg32LEoOJcfNbSFTXBfnTmmIg3uGzufOVTPDpzDOo5K+JMdPEupyfieoXeFrPtquespssJcMMtd31DM+bXVUXZxVeWHJvYaK2NLrSaUJpvwup/HMKc//oI67Y3he9Jpq1UEASR3pTbLFh5Hb8PWXndGFiysxSt2jK+Vmql0ZhlEB7366tQXZYftaIci2+KBaPBgFs37sEdr3yKWzfuifABAGA18e8sY8ikIJkrrh3Nu/L/0DWj8MUJOwDlzwPDyvIxvrIYw8ryw98xk2KmrC9O2EV3Ax5sdeDOS6rxyFtfRHzPtFs9pPhSvJL92GOP4bvf/S7+/e9/47LLLgMAvPvuu/j444/xzjvvqG4gQegNu8uHHrcfgRDQ4w2EA5sxb0PZK9fslenLhpfBYjIiC8Lp5QBgxYzR8ASCcPmCKMrNQVmBOSPemMaD0Fv4FdeOhv1MbuhYApaIvcWdMLgYxdac8FvZLpdPcKW6rroEpiwjgr0hPPmDcXC4/X25Si3ZKM4zweMN4LwBBejgeWNbWWJFVqjvOLvbH377CwC3/NdHOH5GG85edeC+Lc47kyfb7vbhzYX1yLf05SLddNtERUHiuOXacnP6rsfjh8MdmXtV7Fi72w+PP4hdPHWVKG00pXIhCCJTqCzJw9M3jj+bJ/uM7ym3WcIriHx8eKgD33S70eH0oTTPFKFTXnhptejqZckZn8se960mI4xZBhjP5Mlex1nVjNU3KUUqPkeexFb3TAiSyTxXfXKsC2tn1+I/pw6D3e0PP+vOefGfuOmiStxWPxSWHCOKrDl4+sbx6PEEYgpAyyxquHxB3L25EQvqq5BtMOCXV5yH+67KgtcfRL4lG0ZDX/t54OqRuIoVKJbNh4c6YDJmJT0Gi+JJdl1dHXbv3o1f//rX+OMf/4jc3FyMHTsWL730EmpqxIMcEESq09bthtMfhM8fROPx7nBgM2Zb+Bcn7LigshhWU98b3oWXVGPde00RAcwm15TiyVlj0zJCeDIQC26x9LV9qK0sxrrtTTFtA2ZWYO/bsjdioOa+nS20mmB3+XCg7TQaOSvVddUlWHhJDd7cdwLPbjsUtoNJfQEAh9pPY+El1QAQlQ9y4SU18IVCqDwzeba7fFi4uVEymAd/EJvonNpKYZerdIsh99jnPzgcNcFOVNwBPWwlI5Rx4MABXZVDEKkEO1YMG6mx8GinC3e88ilWXT8Gf9nbGk67tb6hGWvOBGLl5kbm+kepXVKJRsq3W03GpE/Qkgn3uequzY1YM7sWr3x0LOJe7z3ejZsvqox4ni2PMckU+8UHswuQoa66BNPHVmDquf3DzxbcZ62oa3D7ZD2/aYniSTYAjB8/Hq+88orathCErvnW4cHRU04cOenE4JK8iMBm6xua8dyc8/H/Jg/FizuOYNygovDKNa1Ma4vclFWxRpSsKMrFr28Yd3YFQGC1ttBqwuB+VkwfWxFOy2XOzsK3Dg88/iB+/8GRKDsY+3t7Q/D4e3H1mIG8x8q93kSuwMYbuVPLtGtyoHReqYPb3gnAgFtuuUXVcv1ekgQQhNS2WmZbeFmBOSKvNXvFkYk7UnxGiqPXZxx2Sq7C3Bz8+oZxgiuvyZ6gJRMmjRYD917nmbPR2xvCsLJ81aSMQi8+mO3hd29uxF8HF4efLaR8eJ45J+nPGTFNsnt7e9HU1IT29vZwzmqGKVOmqGIYQSQLJtd1MBRCCIABQJbBgB5vAHnmbJSzApwxK9jsbeH3fPdcAECPN4hALzCw0IJhtvzkXVCaoyRlVSyTUCWrtQOLcvH90QPC28ftbj9O2D149O0DEW9cPzzUgTZH3+c7DnXgjYV1+MM/j2JkRWGEwzph9+AfB77Fw9NHyb5evhVY7oNFnjkbPZ5AOPdnvrlvi57dLZ0LlCnLGxDOgSpUz3w5R4eVJadvyE3nlel5UvWA33UaQAjj5yxG/6rhcZfXum839r/xAm8QV4LINEzGLMkAUwB/SiX2iuOffzopaeO5HPh8+eSaUjxy7WhUleZFjevJnqAlC3YaLTbse/3bm8/HHa98irfvrkeXyycoE1NKRVEuHrl2NJpO9vAGpWM/W4j58Mk1pQiGQjh8siepzxmKJ9n//Oc/MWfOHBw7dgyhUCjiO4PBgGBQeOmeIPROa7cbx7tcEW3bZskJbw23mrLDHR9AeAVbbFs4BSzTFiXpoQBl24BjWa1ltsY1tnTh1o17BMv+ussdLrfV7sGciYPx8s7mqC1S8+uqYHf7wGz1VroCy36wsJqMWDO7Fi/vbI54oKqvLsG8M2+KxSJss8v67c3ni9rBredYotdqiRwpgN5sznTyyyrRr/K8uMtxtB6N3xiCSBO63T7MP7PjiytXYlYQAemUSh5/ECe63bocG4V8+Y4zsjLuVmQGpbnDUx2mnuZNGiL6O6YtHDsjJWCC6FWWxC9JO+XyiT47Mc8WQj68vroEcycNwczndiY9Y4jiSfZ//ud/YsKECXj77bcxcOBAGAziQZwIIlVgIoWHOJ+zt4bnW4xw+c4GOKOUW8lHaXoovm3AQquV8WzNlpoMs8nOMuAu1lYs7hvcNxfWy7perlaM+2CxoL4qaoINAA1NnQid+X7d9ibelwjcspTkyY53a7lWiK1U6NVmgiAINck352D2ix9FbAV2egNRaa2kUirtOtKJ5z84nJSxUWrHkRxZGY3rZ+uJSaMltbuBeQ5oaOrE/Vv34ZGZo9EbQlw7vpQsJMgJqJpMn614kn3o0CH86U9/QnV1tRb2EERSYOe65sLeGt6Xz9gTDnBGK9jJR46Oh4EvYInYamU8wbGktjKxJ/+Nx7tRW1kUsYotZLPcYGxA9INF7SD+cwCR+nUg+iUCtywlebL1oiPnQ2ilQs82EwRBqEVpvgkTBheHfcPCS6vR2NIVNbavb2jGS3MnIAvADtZ3k6tLMbduSHhik+ixUc6OIzmyMhrXI9NorZldG3Wv2c9V3EWMhqZO9HgDuGbtzrhWj5UsJABnffjh9h5c/7tdvGUm694qnmRPnDgRTU1NNMkm0gZmBbvsTKRwLuyt4RcN7oeLhvbDkNK8cIAzZgXb7QuiyJqDATZLRg/SyYC7IplrMuLTlsi38HyTUKnVygenjxQ9r1hwLLHJ8IprR+P7a3aEP5MbpVXoeoW0YtwHC772LfY9+yUCtywlNqdiJO9UtJkgCEIpXF/FjO0G9E2cGGori+Dx9+KCIf0wj7Xjql+eCTf/10dhX5vIsVHujiO5sjK9j+taxwjhptH6yZShuPeq4Wh3eAEgvLuhtrIoahEDAHo88a8eSy0kAMDh9p6oOtCjz1Y8yb7rrrvwi1/8Am1tbRgzZgxyciIb7tixY1UzjiC0hruCzbcFlr01/D9f+QQLLx2GK0YNwAPfHwm3vy9quC03G4P7WWlynUS4K5IDbBZcNKSf6CRUarUy3jyLQpNhu8uP2sqi8OSUHbnzjmnVMGdnSUZplaMV4z5YSG3x5n7PfonALUtJZNlUjOSdijYTBEHEAtdX2XLP5jxmgng2Hu/GnZs+jUqb9NLcCRGfJXJslLvjSK6sTM/jeiJihHDTaK3+xyG88OERLKivwqShJZh2bn/UDiqKkhIw5FuM4f+PZ/VY6NnJ5QtGpTBl6kCPPlv8iYuHWbNm4cCBA1iwYAEuvPBCjB8/HrW1teH/EkSqYHf58P5XJ9Hm8MAb6EXj8W586/BE/X1xwo6BhblYeEk1aiuL8OTfvsJ3n/4Qlz7zAR7/25c4pzgX5w2w0QRbZxRa+yJKjq8sxrCyfN77I/Xmk8mzOKWmNOJzJWk8+OzoOhNopq66JPw7ly+IxpYuuP1BmIwGQZuVwDhMBmaLNx/crV/11SXIt5x9D8sti7F53fYmbNx1FDVl+YI28x3LoNeco6loM0EQRKywfdXQ/n2pmYaV5aOmLB8bdx3Fuu1NUZMqrt9I9Ngod/WSWR3ljunM9uf1Dc26HtelVuztLnXSEfLVk8sXxN7j3agqzUNlP2s4QCu3LfTJKb0Rn8Wzesx9dgKAe0XqIN+SrTufrXglu7m5WQs7CCJhMCm6XIEgygrMACJzXVtNke+eqkqH0tbwNEWNPIuxbN/iBpoRC3QWD3K3AbKjiwN9Dx7z6qrg9AYEy2KQ88IhlmO59aokzZgaxHO9BEEQ6YJYFGe230jG2BhLkKw2hwdfd7kBnN3+PGFwMa/tQv49Uakd40mZGStSzzwrrxuD+7fui3qGeOiaUZjz4j8jylJz9Vhq14LTG9Cdz1Y8yR48eLAWdhBEQohM0WWAN9DLm+v6suFlsJiMyEJf9Pyl3x8JT6Bva3hRbg5tDU8T5AbYENqaHev2LW6gGaHzqoEBwFVjBmLupCF9Kej8Qcyvq8KC+qHw+Psi4YdCIRgNBrw090K4fGejym66bWJEWfHkDVVyLF+9yk0zpiaZmieVIAiCDd9YmG/pe/G56baJSRsbYw2SNcBmQUePDyV5Jlw3/ju8tgv590dnjsaKt77APw60R3yutj+KJ2VmvIjJ0SpL8vD0jePR5fTB4Qkgz2REm8ODOS/+Ex09Z1fU1X6Wkdq14HD7MbR/vq58tuxJ9htvvCHrdzNmzIjZGILQEmZ7OJMDe3BJXsQKtlik8IE6zPtIxE88q5XxpHhK1Cqp3eWL2F710twJovknud/zvYWOJ2+onGOF6lVOmjEtyLQ8qQRBEHzocSyM1ZdKXYuYf79/6z6MryyOmGSr7Y/iSZmZCMptZ1PUnuh244m/fRk1wVZ79VjurgU9tVPZk+yZM2dK/sZgMCAYDEr+jiASCd/2cADYfaSTcl2nOMxWqh6vH0VWE3yBXvR4A4q2b8W6WhlviqdErJIqSbuVbG0d0Hc/W+0eyXymDHpPuZKoLYUEQRCZiha+VMy/NzR1Yj7LDzHw+SO2DyjMzUGeORs9noCkT1DiuyfXlEbET0k0idrxpXTXgh6QfVd6e8VTvxCEHuHbHs4gZwWbJtj6hdlK9cmxLqyZXYsn/34wKpWU3O1bsbz5VCNdhNZvXOWm3dKDto65n7MvqhT9nViaMT2RiEiwBEEQhPq+VE5ebT7Y/ojtA6wmI9bMrsXLO5tlPafI9d2Tq0swd9IQPLB1H5ZfOzppviURq8epGCclea8+CEJjmPzXoTP/ZraHM7h8Qd4V7OwsA/oXmGmLuI5hb6VaeGl1lOMC1N++xUWP6SK4yE27lWxtHft+zps0RPS3YmnG9EI8UgKCIAgiucjNq83FasrG4fYeBEMhPPLm59hx5rlkQX2VoucUKd+ddyYQaP8CM2564Z9w+YLwBtLft6RanBSaZBNpCTf/NXB2ezgDs/WGvYIN9L0VWzub0tHpGfZWqtpBRbwBxABttxOnwtal0nwTJteURkz2mLRbk2tKsU4nDpl9P/W+pV0O8UoJCIIgiOQh5t/rOX6Ioa66BIHeXlyxugEvzZ0QnmADyp9T+M7P+O666hLUVhajsaULtZXF4VRameJb9KS5lkJxnmyC0Bt2lw8tHU40n+zBkZM9ONbpxPsH28P5r5m/9Q3NGFiYi2H98zCsfx4WXlIdlTN4so63nRBnYW+lEtq2xWB3a7OdWCjvpt62Lt3J087rqktw5yXVSbIoGvb9XN/QHJVDHOh7sGHymQLS6b8Ot/egsaULh0/2qJZDVC5ypARcG090u3GwzYF/NZ/Cl20OfOvwRByT7GsiCILIFIT8++Qzqaq+OGGP+JzJt338TGow7nOJ1HNKp9OHIyd78K3Dg8PtPTja6cSKa0cL5vX+4oQ9wh8y6FU+lanQSjaRMjABzIKhEPoU1kCWwYBvHe7wlnCgLwcxs4IttD2cSdG1YsboiNRcZQVm3UyOCGHYW6mkom5aTUYA4kGolAaoYgdce2TmaPgCvXB6A7rbutTR48OCDR/z5uNesOFjvLmwXhe2su8nd1ucN9CLof3zUGw1ydrSrgcttNRWw1yTEQs3N4qmKKuvLsGjM8fA6fUhz2zCg6/tx44m0ncTBEEkAvbW5FMuHxxuP/oXmDHnxX/iposqcfPEwRE+9e7NjeFdkNznEqnnlB5vXzA09pZyq8mIB6ePxP1Xj8BpTwD55mwYDEBbtwcjKwrDvoKNHuVTmQxNsomUIDKAWR82Sw7vlp1ymyUi/zWD1PZwPUw2CHmwt1JJbS/OMhhEJ14GICLNFfs7vgmMHiZxcnF4/OEtZnzo5a03d1s722Yl29r1ooWWkhJ82tItmaKsoakTD7y2D/d+bziWvrYv4TEHCIIgMp1CqwlOXxCnT/lx68Y9WHhpNc4bUMDrU9lyJu5zidRzSigUitJsu3xBLPnzvvD28HXbm7Dq+jH4y75WXjnSZJ3KpzIZ2i5O6B4mgFlTew8On3SG/065/OFcfew/AOH817Q9PD1hb+US2l7MbKvqRQiL//RvwYnX+1+dFPyOuyVXahKnty28eg/OxmyB7nL5cMe0Ybz38I5p1ZJb7RjkaKETgZiUYMW1o/HIW1/wHrezqRO1g4rC/25o6kS2MYv3wQxI7DURBEFkGozPZ3yp0PPG5JrSiO3b3N8x/64XeE4xGgyC4zzbLzzy1he4Y9owTNa5BIzoQ9ZKdnFxMQwGg6wCT506FZdBXL755hssXrwYf/3rX+F2u3HuuefipZdewgUXXAAACIVCWL58OV544QV0dXVh4sSJeO655zBq1ChV7SCSA18AMwYhrS2zgs3Of03bw9MPZitXq92DNrsHi783HL5AL072eGEy9m3f2vTRMfzqyuERAUjYfHioA3MFolnzBRFJtYBWeg7Oxt4R8OZddbh14x7ebe23bvwYf/7pJN4xgIsaadXUQigK6tFOZ9QWPzZRKcokYgroZTcCQRBEusH4/F9deV54JZorZyrMzUGBJRur//FVeGxny57umFaNYCiE3mAI8+uqsKB+KPJMRvR4A+Ft5k/dME7UDsYvuHxB3LpxD179yX9g3mmvbiVgRB+yJtmrV6/W2Ax+urq6UFdXh0suuQR//etfUVZWhsOHD6OoqCj8myeffBLPPPMMNmzYgHPPPRePPvooLr/8chw8eBAFBQVJsZuInXaHBy5vAL0AjFkG7GrqQNmZ7d9chDQucvJfj6rQ17ZeIjYKrSZ0On0IhEJ44m9fRrwJZt4QB3vFV0HFVkk7nT7gZE9Yoy01iety+WB3xT7RVqoNl0JuXkm1zysEcx5uepMeT1B0W7vDE5BVvt5W7vmioOZLrDxHpSjL1dc1EQRBZAp2d9943Wr3YH5dFbJgwI6mjrCvYp4zfvZqIx6fNRb+QCgcO8PlC6KxpQvjBxVF6affvKsOP3zhn+F/S2m2ufGFvu5y445XPo36Hb101ReyJtlz587V2g5ennjiCQwaNAgvv/xy+LMhQ4aE/z8UCmH16tVYunQprr/+egDAxo0bUV5ejk2bNuH2229PtMlEjDBBzVod7vBnQgHMGBqPd0dorhnYK9js/NeWHCMGFp7dUk6kPnaXD0aDAa/+qwW1lcVRq6CbPjqGe757rmgZYs7ttMePG3+/O6y5lprE2d1+3LW5MSZ9tlZab6m8konSmLPPw01vkm8xih5rs8gLH6LnlXsGMRu5Kcrqq0sQCPYKavn0ck0EQRDpxoluNzz+vpfw2VkG3HUmsNl/ThsGu9sfEfDM5Qti80fHMK9uCObVDUFOdhaMBgN2H+mMmmDXVZeg3eFVpNnmxh8Sem6hl676Ii5NttvthsPhiPhTkzfeeAMTJkzADTfcgLKyMtTW1uLFF18Mf9/c3Iy2tjZcccUV4c/MZjOmTp2KXbt2qWoLoR2t3W50On1oONwRoblmUnA1Hu/Gtw5P1N8XJ+wRmmu29rq2sgjPbjuEGet2Ysa6nXjuvSaUF5hpgp1GnOh2Y+HmRly1ZgduuqgSjS1duHXjHtzxyqe4deMeNLZ0Yc7EwXjvYHuUfophSk0p2k97eb9jOzZGc51vyY7S2XJ/H4s+W2utd6HVhGFl+RhfWYxhZfkRK9iJ0Jhzz8PdPdDu8EZp1Rjqq0tQnCdvIpkKadWEbOSmKKs/kyrmzlc+FUxp9ujM0bq4JoIgiHSC8Vm7jnSGfXttZRHu2twItz+IVz46hls37sG67U1w+YKYXFOKh68ZhVf/1YJbN+7Bf/7hE7j9QXzW0hUxwWbG+cVb9kZotKU02+xUXUJ5uumlq/5QHF3c6XRi8eLF+OMf/4jOzug3LsGgsNZMKUeOHMHvfvc7LFq0CPfffz/+9a9/4e6774bZbMaPf/xjtLW1AQDKy8sjjisvL8exY8cEy/V6vfB6zz5Yq/1ygJAPE9Rs7DlFvBNgJoDZc3POh9UU+U6oqnQoXtxxBOMGFYU111noix1A2uvUQ0m/5E7a2BqpfHN2hNYJANacSavBfkvMTLyY/2evLDKOjTke6Jt4Or0B3u3X3N8r1WfLDdil9pbuRGnMuefhvoVfvGUvXrntP/DIW5+jgXWPmDRWLm9A9jZ8qZV7PcBnY67JiNMePzbMvwgFlmzY3X7MefGf6Ojx4e7NjXjg6hG476rh+LrLHY458MhbX+CpG8Zpem3kLwlCf1C/1BbGZ31yrAtrZtfi1X+1YH5dFYDmiOcNACizmZFvykZlSR6WXj0CN11UCV+wFwMLzVh4aQ0W1A+Fx9+3m9JqykKBJRuPzByNbIMBD88YheOn3LCajPD4glhQX4X7rhqB9tMe9C8wY9/X9oiV8Ck1pXh0ZnTwzMlngmoS+kLxJPvee+/Fe++9h9/+9rf48Y9/jOeeew7ffPMNfv/73+Pxxx9X1bje3l5MmDABK1euBADU1tbi888/x+9+9zv8+Mc/Dv+OG5QtFAqJBmpbtWoVli9frqqthHLYQc0cnkDU6pZYADNmMr30+yPDk2lzthElBfp6mCbko6RfcidtbD3vwkur8e/jkSmSGKd457RqWHKMKMyNnHgxE55OZ9+kh70FjI3D7cfQ/vlYO7sW33S7cbTTFbVljEGJNkpK693t9mHZm5+rvqU7UYHCuOfhbo3r6PHh5v/6J56YNRZLrhoBpy+APFM22hwe/OD5Xejo8Sm6Xj4ttN7gt/HstdldPvzvTy7u0/m7+9rko28fiGqTWgfbI39JEPqD+qW2MD6LCWD22p116Ozx4pdXnIdsowFdLj8CwRA+benCFyfsWHLVCJzoduPwSSdu3bgHQF+e67Wza2HJMcLjDyIUCqGhqRPrG5rh8gUjUnP99ubzwxprq8mIV26biM7TPowYaMP/3v4f4fMNK81DZUkenrphHNocHnzd1SexbDzeje+v2YEJg4t1mU40U1E8yX7zzTfx3//935g2bRoWLFiAyZMno7q6GoMHD8Yrr7yCm2++WTXjBg4ciJEjR0Z8NmLECGzZsgUAMGDAAABAW1sbBg4cGP5Ne3t71Oo2myVLlmDRokXhfzscDgwaNEg1uwlpmBVsJqhZmc0Ily9ydUtOALOBNJCkDUr6pdjkcH1DM968qx7L3/g8vNrs8gWx93g3br6oMtxmmPRR4ZXhM9usbvz9bsGyGb1TodWEjh4fb+AR7m/lIKX19vp7Ncn9nKhAYdzzrG9ojtpd0NHjw/qdfVvm8k1GXL22IeKYeK43UYHd1ISZhDMyCCG0DnRD/pIg9Af1S21h+yyXL4gTXW4EQiGse6+JN8CqwdC3I2seK1uJyxfEXZsbsWZ2LTZ/1BIOiMY+jtn9xg1sdsrp4x33//zTSQj0hhAMhfDoW19EZU5R47mAUA/Fk+xTp06hqqpvi4TNZgun7Kqvr8dPf/pTVY2rq6vDwYMHIz776quvMHjwYABAVVUVBgwYgG3btqG2tu+Bzefz4YMPPsATTzwhWK7ZbIbZbFbVVkI+3LRc5uwstDu8aHd4EGL9jgKYZRZK+qXY5NDlC8IAxBTsa9X1Y2QHzlIzyJZYWZNrSrHriHie5FidaaIChXHPw5fexH8m/sKr/2rB8IE23nJiud5EBXbTimRHTCd/SRD6g/qltnB91p4zK9Z8AVb/918teODqkdhxqAPjBhVF7NJifJ1YwDRuYDO+QGcM3kAQlz2zKyp4KBs9phPNVBQHPhs6dCiOHj0KABg5ciT++Mc/Auhb4Wan1lKDn//85/jnP/+JlStXoqmpCZs2bcILL7yAO++8E0DfNvF77rkHK1euxNatW7F//37MmzcPVqsVc+bMUdUWQh3sLh/e/+pkVFCzP31yHBcM6UcBzAhZMA6Qjyk1pSg5s1KpNNjXsjc+x8rrxsgKnKVmkC2xspbNGBUR9IRLPCuZiQoUxncel68vKIzbH8R//uET3LpxD/Ye78aS749Q7XoTFdhNS6TaOgW6IQiCUBeuz1rf0Iw5EwfjM06A1b3Hu7Hi2tHoPpPqiwlgxg5U6fIFsemjYyjNN0cFTOMGvJxcU4qFl9Tw+sD66pKwXEgs9ShAqbz0guKV7Pnz5+Pf//43pk6diiVLluDqq6/G2rVrEQgE8Mwzz6hq3IUXXoitW7diyZIlWLFiBaqqqrB69eqILen33nsv3G437rjjDnR1dWHixIl45513KEe2Tuno8aGsoO/tKzuo2Y8vHoJntx3EDydUYlBJLgwUwIwQQW7+Zz7Egn1tO9COJd8fITtwlppBtoTK6nT6onS4bOJdyUxUoDC+8+RbsuH0BrDptomaXG+iArtpSTxtnSAIgogNxmcx2mejwYD5dVVYUD8UoVAI5xTnYoDNgkKrKeyz2Lu0mBVvS44RNf3zEOgNYdk1oxDsDcHlC6IwN9oHZhsNOHLSidrKoqht6fPqqmA8E29KKq82pfLSB4on2T//+c/D/3/JJZfgyy+/xJ49ezBs2DCMGzdOVeMAYPr06Zg+fbrg9waDAcuWLcOyZctUPzehPg6PH95AL29Qs59OqwYAnDztoy3hhCSxTg6lgn0xwc3kTl7UDLIlVJbWW7oTFShM7nnUut5EBXbTmlSImE4QBJFuMD5rgM0iOv6yt5ezA7ECfX5Lrka6saULd276NGKSzt5e/tQNffMssbzatMNJPyieZHOprKxEZWWlGrYQKYzd5YPd5UcwFIrQVXPJNRkjVrDFgprRBJuQQsnkkAl+JfUG2GIySqaLSmQgLTVWMqXsVfN6mLJ6vH4UWU3wBXrR4w3IOm++ORsubwAPzxiFZW9ER1NXunIrR8+cyLpRAt95h5Xla35egiAIgp/eUAj+3l58e9qLU04frOZs9HgC6PH6seLa0Xjw9f0RfmtyTSmWXzsKzR09KMg1hf0HM77b3X1lZAEIGYDcHGPUJJ0N8/zCFzwUoB1OekPxJHvFihWi3z/00EMxG0OkJq3dbhzvciEUEpte92Gz5KDd4aGgZkRCYQe/WnhpteAb4LrqEry1txV7j3cLBsZKRiCteFYypexV83qYspjcok/+/WDUA4DYeevPbIm7b8te3HRRJX46dRjMOVkoyjXFtHIrFdjNkpOFhZsbE1I3Skj1YG0EQRDpAt94fOnw/lj8vRF48I+foaGpE1aTEc/NOR9XjR6AeZOGhFeg2x0eHO1w4c5Nn8LlC+LyEWV4cPpILH0tcjLORBu3u3yYXFPKK3OqZwVEY29LF0pNSiQfxZPsrVu3Rvzb7/ejubkZ2dnZGDZsGE2yMwwmkJmcCTYA/OPAt/jRfwyhFWwiYXCDXwm9AWan1HD5grxpMKQCaWmZNiOWLd1S9v76hnGqXQ/7XAsvrcbLO5ujXmRInbehqRMhADddVIl125uwbnuToq12XMR2Aay8bgwe5qyWy7FR63udzDZGEARBnEVoPB5ZUYgVb30e9nEL6qvwXw1HBF/eL6ivwrrtTThvoA1Ltu6L+h3z7/9XPxR3TBuG3lAo6vnkoWtG4fG/Hgh/xpealNAXiifZjY2NUZ85HA7MmzcP1113nSpGEakDO5CZHLZ/eRL/PHIqagU7O8uA/gVmGigI1eEGv+IGJskz9wUeYafUAPgDY6VaIC0pe7uc6l0P+1y1g4oEt7tJnXdnUycW1FXFbAcXsYBy/zjQHpONWt7rVGtjBEEQ6YrQeMz1cWI+j+3TpH5331XD8cPf/5P3+WTOi//ETRdV4uaJg8Mr5dX98+m5WcfErckG+vJlr1ixAtOnT8ePfvQjNYokUgQmkJkSXL5gxAo2w2t3TMLgkjw1zSMI3uBXbM3Tb28+H3e88invsdzAWKkWSEsyyJsnIPq9kuthn0tqTJA6L/f4eOuVbxfAkQ6n6DFq1o0SUq2NEQRBpCtC4zHXR0n5POZ7qd/1eIKizyfcCfprd0zCYNBzs15RZZINAN3d3bDb7WoVR6QINksOTjnVyTVLKQcILZAKfiUWCI3bJuUE0tITUvbaLOIuQMn1sM8lFVxO6rzc47Wo10TWjRJSrY0RBEGkK0LjMddHSfk85nup3+VbjIrKJX+gbxRPstesWRPx71AohNbWVvzhD3/A9773PdUMI1KDfEs22k97ZWuyKeUAkWikgl+1n/byHsfXJqXK0lsblrK3OE+962GfSyq9iNh561jBXWKxIxZ7ldo4uaYU/mAvvmxzoNhqUjWORKq1MYIgiHRFaDxuPN6N+uoSNJzxcWI+j+3TuMdxf9fu8Moul/yB/hF/RcLDs88+G/G3Zs0avP/++5g7dy5eeOEFLWwkdEprtxvHOp0YWmrFsP55sv4WXtIX2ZnNZEo5QGgIE/xqSk1pxOdMqotp5/YX/I7bJqXK0lsblrK33GZR7XrY51rf0Iz5dVVRfV3qvPVngs+tb2iO2Y5Y7FVq49xJQ3D973bhe6t34Bd//AwtneJbz9W0S29tjCAIIl0RGo+/OGHHg9NHof6Mj2N8Xj3H53F9Gvc4Bibw6p8+OS6rXPIHqYHilezm5mYt7CBSjG8dHrx/sB1v7WtFY0s3bp86FJcNL4PFZEQWDKLHrpgxGp5An+6kKDcHZQVmGigITZFKgaUkPVY86bSSgZS9al4Puyyn14+VM8fAF+yF0xtAgSUH+ZYzQVxaulCYm4Nf3zAOPZ5A+LzM95tum5iQelVSN91uHzz+Xuw+0hkRIK+hqRP3b92Hp28cr9qKttJ7kqxc3gRBEOkO1w9YTdkwADBkhfDkD8bB7Qvi9Jmx9+kbx6PHE4Dd7YfVbITZmAWPP4jnf3QBAsEQPm3pws3/1RfA7M5LqmHKzkKeKRtZBgNCCOHn3z0PMITwyLX/n71zj2+qvv//K02bpOmdlJYyKRRa5Q5VhEnLxQtuKlOUr07QDajzxwaIjDkQEQVFEO8T3JwbVb77Cs5NEW/bQFGk4JRLlatIodIql9LSJrRJmuby+6OccJKca3JOcpK+n48HD22Sc87nnM/lfT6f1+f9fg+G3eVBk90FnxeYUVaEivK+cHZ0vjf3y0unTDxxgGI+2URiYrW7YLV3wOPzwQdAByBJp0Nruxt5mSb/FhauQGYfzx+Hfnnp0S800WVgJhet7R3INhvgcnvR2u7mnGgIpcCSmx4rnHRaUlBrsiRWXjn3I1ZGvnOdbHHggX98zZn7OZbjhNRn880pGyb/aTvnb6pqmtDc5gp56YmkPoPLZbW7cKyhNeRclFObIAhCXbLMBrS5PFj63lFRG5afeXHsd3R4cOOLVSHnY1JU/vv+MTAkJ8HCsg0nWxz4rrENU//6BW95Ns8bi+Y2F2xONzJTkxV3WyKUQfYku62tDU8++SQ+/vhjNDQ0wOsNjJR3/PhxxQpHxJZTLQ7UN9sD/K0zTSmorm9BfqZJNEoiRcEl1ISZXOw50YwXp5Tiqf8cCfBbireJRjxMlsItYyLkfhaLNh78vZL1yXeulbcNwYNv74/r50oQBKF15Ngw9nj9x7suFzzvDy0O+ACs/PAwlt0yGGkGPRa+tQ9TRhYKHlffbMc963b7/y4vtmDFrUNQSBl6NIXsSfavfvUrbNu2Db/4xS9QUFAAnU54azARnzDbwYPDmfW2pPlXyyjqIREr2AZvzjXFeHVHbUhgkHiaaMTDJDSSMkY797MaOwLEoo2zv1eiPpl78Ph8ePy9g9jO0b5PNNkppzZBEITKSLVhwWO/2HsyALy6oxalhTlY+NY+LLlpILYfbcT00X1klU8NtyUicmRPsv/1r3/hgw8+QFlZmRrlITTAqRYHzrW5kMfRUa2OTnX60CkbemaZKOohERPYBq+0V3ZI7kiGeJloRHsSGg6RlDGauZ/V2hGQk2bgjQpbXmxBTtrFe4+0Ptn3sHbaiJAJNkOLg3JqEwRBqI1UGxY89kuJOr6jpgkVZUVYs7UGzXaX5OOC4XNbImKH7OjiOTk56NatmxplIWKI1e5CXWMb6pra8OmRBpy2OdHu9ob8MyYnwZichMqqWhRkpVK0cCImsA1erN0WGF/Z6rpmHDvbCqtdft74aE5CwyWSMkYj97PV7sKJxjYs/OfXvApyOHXDkJ9pwopbh3BGj11x65CAF5tInlWwEiLUvmk3EUEQhPpItWFWR6CN4cu0MSYo6jgzzqca9MLHleQGHBeMmFsTEV1kK9mPP/44HnnkEaxbtw5ms1mNMhFRhu17nW5M8SvYXC9w1fUt6JllQmlhNmav34uZ4/pi4U/7AwDsLg9MKXoUZJloJY1QFbbBi+VEQynVNBqT0EiJpIxq535m6mH66D68qq8SOwIKLWl49o7hFwPOmJKRkxYacCaSZxWshAi17+r6FowpyeVUzcfQbiKCIAhFkGLDTrY44OwIXBS1uzyYu6EaFeVFqCgrQpqxM4NG9wwj7nzlv/4sFexxnlGw2ce1u73ITk3Bj3JSccMftvuPCyZDxK2JiC6ylexnn30W//nPf5Cfn48hQ4bg8ssvD/hHxBdWuwuffnsWNQ2tOHa2za9gV9e34IzNGfLv0EmrX8EuLczG81uO4uY1O3Dzmh146ZMa5GcYaYJNqA5j8ICL26q4KC+2IF0loyPmdytHNWXfTzBacb2IpIxq5n5m10M0djXkZ5rQvyATI4u6oX9BJud4F8mzClbBhdr3kVM2LLqhf8j3ZcUWzL66WOxWCIIgCAmI2TAAWPjWPuw83hQyHttdHqzZWoPKHbWoqmlE5Y5abD50xj9RZrZ/lxVb8MmRBswoK8KYYov/uHvW7cbrX5yATqeDx+vD5YXZnGUsL7YgNUX2tI5QEdlvn5MmTVKhGESsaDjfjrwMY8BnzHbwl6ZeDrMhsMMW5fbFX7Yfx7Be2X4F2+HyINucgh6ZJtoiTkQFxuA9+NY+VFbV4sUppQAQ4L9UVmzB9LIitLWrs31KST9q9v18FqSKa8X1ItIyRpqPmy+YGbsetLJ9OpJnFayC87XvMSW5eOjGAbj9z5/jzpGFfrXDmJyE6voWVLy2C+/NKddE2yEIgoh3hGzYsYZWbD/a6M92AoS+j8woK8KGL05gRlkR5m6oDvh8fdDnb/y/H2P6+faAMf2edbvw1m9+jCUTB+Hx9w8GxAcpL7bgkZ8Ngi84WjERU2RPsh999FE1ykHEACbAGVv9YQKasbeDX9s/DyaDHknojCS/+MaBcLo9sLs8yE5NQe9uZnqRI6IOY/B+aHGgvtmBhT/tD5fbi7Ot7TDoO43S3A3VWP+rUapcX2k/6kgnodEg0jKGm19caFs+ux6EgsVEe0dAuM8qeFsie7vh7PHFMCYnod3txc7jTfi2oRWNrS7ewH9a8OUnCIJIFPhsGGOH2OP1PeV9kazXIcecgpSkJCQlAQ/eOAAnm52onH4lMozJcHm8sNo7MLBnFuZuqIbd5UFZsQWbD53hHNedHT688tkRzCgrwsIb+qPV6UG6SY8GWzte/OhbPHHrENWfASGdsPdRulwuzjzZhYXCud2I2GK1u2C1dwA6YEdNIwotaQHqD6Ngz7m6GGs+qcHzW47i+S1HAXQqJ09NHooCjeTsJQhGyZz5tz28v1FLvVTCj5pLne2Xl65UEVUh3IkyIC+1lpQUVg++tQ9LJg70f8an+kayIyCSdGDhPCsuFdzu8mBffQvuHNELS987iI8ONwAA1k4bIXguLfjyEwRBxDtidiDNcHE6xWzzZrN53lg8/v4hTB/dB/es2w2zQY8Xp5SGpB8dU5KLaaP7+BXt0HJ0YPIVvfDazu8CFp3HlOTi8VsGK3W7hELInmR/++23uOeee7Bz586Az30+X6e/gIfbGZ+ILczk+rStM/E9E+Ds8+NN6Jl10aeQApoR8YbaQbXUuq6UoGlq5HuOFVLvt6nNBR+ApZsOYHtNk2AKq8+ONsKgT/LXQ3CQGQAo7GZGXoZRcQU9knRgYvCp4E1tLv8EG9CWck8QBJGIiNmBky0OuL1ewZRbKXodth9txLBe2YKBzXLSDHj6P99wBjYrK7Zgd10zjpyy4Znbh6HF7sL3zQ4Anbbgxhe3Y0TvHNXtEyEd2ZPsGTNmIDk5Ge+//z4KCgqg0+nUKBehIKdaHGhxdKC6rtn/WX6mCe1ub4jvtZCCTRNsQovEyp85kuuKBU1bPaUUbS5PTCZ4aiDnfof1ykZ1XbP/ZUUsmJnV4QqoB0ZFYOoh3J03Usqs5oIHlwp+vLEt4G81lHuCIAiiEzE78PTtw7DwrX24+8e9MePCwi6XL3ZTW2cg1OAxm1G8xxTnYtbVxfjF2i/w5OShaHd7Oc/z9y/r8Ngtg2FKTsLy9w9je01ouRa+tQ9rVLZPhDRkT7K/+uor7NmzB/3791ejPITCMNHDC7uZQybJxuQk2F2eEN/rx24eHOBzHa4KRBDRIlb+zOFeVyxoWsP5djz2/qGYTfCURs79Th/dJ2CrnVgwszRjiir1r2RgO6UIdlEIVu6zUlOQYzZozpefIAgiHhGzA81tLr/dui9ImWYCls3dUI23fzMaQOiYzfyut8WMm9fs4PXpNuiTkKJPwjO3D0OW2YCjZ86HTLAZtl+wqWQDYo/sSfbAgQPR2MhdsWqzcuVKPPTQQ7j//vvxwgsvAOjcpr5s2TK88soraG5uxqhRo/DSSy9h0KBBMSmj1mhsdSEvwwirIzAADhPgjNm2wlaugU4lJN5e5ImuTSS+wtG+rljQNKujQ3MTvEiQc7/ByrXULdFK17/Sge2UgMtFga3c05hNEAShHGJ2wObszF5SXd+C0sJszmBlY0tykZNmCHBrYv+urNiCB66/zL9FnMun+51Zo3FZYab/7xaHuE0lYo/shGqrVq3CggUL8Omnn6KpqQk2my3gn1rs2rULr7zyCoYOHRrw+VNPPYXnnnsOa9aswa5du9CjRw9MmDAB58+fV60s8YLV7kKz3eVfKWP/q6yq9ee7Ds7pN4a2GhKEZKx2F441tKK6rhnHzraG5Mfm+l4saJrZoBf8Pt6iRsu532DlurKqFjPKikLGKbW3RCsR2E5p1Mw3ThAEQQQiZgcyTZ1aJZ+dGlOS69/ezTV2M9vArXZhm55mDNRE00TeEcTeIYjoIFvJvu666wAA1157bcDnagY+a21txV133YW//OUvWL58ecA1X3jhBSxevBi33XYbAGDdunXIz8/H+vXrMXPmTMXLomWY4GbeC3Vx9rwD6SYDrI4OVNe3UIAzgpCI1IBjUgKicH2/8rYhGFOSy6lWjynJDYhUykW8RY0WChI3piQXpuSLLwTBynVwCitTih5Zqeq7A8QqoJ4Y8ZDqjSAIIhpEGhxU7HghO1BWbEGLw+W35cHbwLNSU+Ds8PgDkq2aPNQ/djfbXf53c+Y4ocBpu080I82Y7I/HkmZIFvx98CQ7kYKoxhOyJ9mffPKJGuUQZPbs2bjppptw3XXXBUyya2trcfr0aVx//fX+z4xGI8aNG4edO3d2qUn2qRYH6pvt8Pl8yDSloLq+BX27p2HvhWBnh05acUVhDgU4IwgRpEaUlhoQhev7nceaMHt8Mbw+X0hwk9lXFyPVoNfkBC9c+ILElRdbMG10H/zr4CmMKc7F9ppGzmBedpcH1XXNKC/ORb/uaVF5OYhVQD2pZaMXJIIgujKRZn+QcjxjB4J/xyjQc9ZXY/UFe7X9aKN/mzfzPZP7mglItnpKKfrlpcNqd+G+DdV+28IXxJJ9nn/1zvG7BGWbU3DfNSWcv59zdQl2fdcMQ7JecLE/HoOoxhuyJ9njxo3j/e6rr76KpCycvPHGG9i7dy927doV8t3p06cBAPn5+QGf5+fn48SJE7znbG9vR3t7u/9vNbe5R4MzNic+PdIA34W/e1vSkJ9pQpoxGcs/OIyXpl6Oe8f0xV+2H8ewXtkU4IzQJFrol3IiSksNiMJFtzQDKtbt4gySUvHaLrw7p0yzE7xwYSuwVkcHnB0e7DzemcZk5ri+mHV1P3jhC0htMmt8MfRJOthdHuyta0bFa7vw3pzyqN2/mqpxvCgLWuiXBEEE0tX7ZaTZH87YnFj4z69D0kNyHd8zOxWP3TwIxxvbQgKa2V0e3LNuNz64rxxeH0IUanYqLnY8leBFXGbH1pKJA/HgDf3xfbMDBn3gdYKP793NjIlDewa8Q5yxOeHs8ODRdw9iRO8cwcX+eAyiyiYebKjsSXYwVqsVr7/+Ov7617/i66+/VnS7eH19Pe6//35s3rwZJhO/uhqcRozZus7HypUrsWzZMsXKGUtOtThwrs2FPJb6zAQ8aHV6AqKHz7vu0s7P2z1wdniRYUrGoJ5ZMSk3QQSjhX4pJ6K01IAoXLS7vZzBTRha7B0ozstIuG3BzMvBsYZW3Pannf7PB/fMwj3rdqOivAgLf9r5gmFMTsLnx5tQWVUb8KISbX90NVTjeFIWtNAvCYIIpKv3y0iyP5xsceC7xraQCbbQ8WdbXbhn3W7O39tdHpxtdWFkUTdU1zXz/g4ItF9ci7genw+TXtrBmSc7+PiC7FSM7mtBzdnWi/dmdWL5B4f9k3Khxf54DKLKEC82NOxJ9tatW1FZWYm3334bvXv3xuTJk7F27Voly4Y9e/agoaEBV1xxhf8zj8eDzz77DGvWrMGRI0cAdCraBQUF/t80NDSEqNtsFi1ahPnz5/v/ttls6NWrl6JljwaMgp13Iec1AxM4KN3U6ZNhd3lCoocDwL/vHxO9whKECEr3y3BWOa0Ol8j3Fw2c1IAoXIilpWL8qeRM8OJhVZcheIGCvehQ2isbs17fy3tsvPmjBxPr/NtySRR7SRCJRFftl4ydY/JO88G3GMuMv1NGFso6Xsies7+XGzAz2MYfa2jlnWBzHX/Ozj/5B4QX+4HwF61j+b4RTzZU1iT7+++/x2uvvYbKykq0tbXhjjvuQEdHB9566y0MHDhQ8cJde+212L9/f8BnM2bMQP/+/bFw4UL07dsXPXr0wJYtW1Ba2unL4HK5sG3bNqxatYr3vEajEUajUfHyRpNgBZv90s4EOUsz6lFebEEVx2pdebEFOWnaaIQEASjbL8Nd5TSLBBxjBxMRC4zFTtkRTMP5dowptnCupJcVW0QDnwUTL6u6DMEvIsHjl5SUXfGKFvNvC5EI9pIgEo2u2C/Zdm7ttBGCv+VbjGXG3+mj+8g6PifNIOl9OtKAmXKPj2SxHwhv0TrW7xvxZEMlp/C68cYbMXDgQBw6dAirV6/GyZMnsXr1ajXLhoyMDAwePDjgX1paGiwWCwYPHgydTod58+ZhxYoV2LhxIw4cOIDp06fDbDZj6tSpqpYtlljtLnz67VmctjnR7vaiur4FZ2xO/79DJ60oyEqFXgcsvXkQyoNSCpQXW7Di1iEU4IxISMRWOYNTbLFJStKFpOBgKCu2QJ900Q1FLJ1SfqaJ9/uxxbmYc01JyLXKii2475oSZJulG75I7jdWMC8SDMzEGohdyq5oocX82wRBEFom2M6xbUYwQpNZZvyVe3x+pgkrbh0i+j4daZpFuccH29LgY5jFfqn3KYYW3jfiyYZKlks2b96MuXPn4je/+Q1KSkrULJMsFixYAIfDgVmzZqG5uRmjRo3C5s2bkZGREeuiqUZjqwt5GZ0rmEzO65emXu6PHF6UezHI2YQBeVg+aTAcHV6cd3Yg05SCnDQDTbCJhCWSVc7kJB1mlBUB4I7wyZ5kA+KBsYS+T0rShQQtaTjfjj7dzLImkvG0qssQHPSFiayqA1DFCnw2e3wxjClJyE41xL0/OoMW828TBEFomWA7xxeNW2wyy4y/fMePETi+0JKGZ+8YjuY2F2xONzJNyZzv05EGzJRzvFgWDGaxX6kgqlp434gnGyp5kr19+3ZUVlZixIgR6N+/P37xi1/g5z//uZpl4+TTTz8N+Fun02Hp0qVYunRp1MsSK2zODrS7vTh0yoaeWaaAnNdM5PDFNw6E0+1Bm8uDFL0PPbNMyCrIjHXRCUJ1IlnltKQZsPLDwygtzAmJ+v33L+vwzO3DQo4R85vm+74gOxU3Du4RYEhH9M6RbaDiaVWXTfCLRGZqCp69Yzhane6ECfTGhVbzbxMEQWiVYDvHRONmMnRkmFJgSRNfjGWPv8F5rbNTU9AvL11QhMrPNEkSqSINmCnn+EgW++WihfeNeLKhkifZV111Fa666ir84Q9/wBtvvIHKykrMnz8fXq8XW7ZsQa9evRJaPdYS6cbkAAVbKOf1oJ7a88ckCDWJZJUzy2zAslsG48G39gVE/lZyq3JIwJB0A/rlpYd9PrVXddUMcML1IpGf4GuBWs6/TRAEoRaR2BIuO8fO0PHx/HGS7Gjw+Mscz1Z+45FwF/ulwtSdWNDWaKjI8WRDZUcXN5vNqKioQEVFBY4cOYK1a9fiySefxIMPPogJEybg3XffVaOcXRqr3QWrvQPeC6nJ3B4vGmzOAAV74U/7A+gcdEwpehRkSVttI4h4hstoC61yjinJhcfnw7GzrbwGXs3cyGoEDFFzVTfaAU4ieQmLp+jqarYxgiAIOSg9dnKdr83liciWKGnnaPyVB/s9YM41xbIDk6phm3tmp+Lp24dd3Lqfmowcs/ZcYSPKk33ZZZfhqaeewsqVK/Hee++hsrJSqXIRFzjV4kB9sx0+nw+ZphRU17fgo8Nn8Isf9xFUsLXW0AhCafgmgKsmD+Vc5SwvtmDa6D7+HJRCBl6N3MhqpZ1Qa1U32mkyIpnQxzraaTio0cYIgiDkoPTYyXW+lbcNwYf7TmF7Tfi2RGk7R+OvNILfA+T6wqtlm+PF5kc0yWbQ6/WYNGkSJk2apMTpiAswUcR9Ph8AoLclDfmZJmz95iz+e/xciIKdnKRD9wwjCjTUwAhCDYQmgAsvGG1mpdrq6ICzw4OdxzsDajE5KKOdU1HNgCFqrMxHM8BJJBP6eMqZSRAEoRWUHjv5zpeXYQyZYLOvJdWWkAIdfYLfA4J94bNSU5Bj5vaFV8s2x5PNV2SSTagDO4o4AFgdFwMK2F2eAAWb4Z1Zo9Hbkha1MhJELJAyAeyXl44sswHHGlpx2592Cv42GgOy2gFDlF6Zj2aAk0gm9FqIdkoQBBFvKD128p2v3e0VPE6OLSEFOrpwvQewfeHfmTWa1xdeLdscTzafJtkahokiziAWcADQVuh6glALORNALUTDBOIr7QQQ3fJGUkdaqV+C6AocPnxYsXPl5uaisLBQsfMR8lB67OQ7nxaCZRHhEcl7gFq2OZ5sPk2yNQwTRZyhur4FPbNMsoMOEESiIWfg18rkNp7STgDRLW8kdRTt+o2nAGsEoRQOaxMAHe6++27FzpmaasY33xymiXaMUHrs5DtfdX0LvbfGKZG8B6hlm7XyTicFmmRrlFMtDri9PjTYnPBd+OzQSSuuKMzBnKuLAQQGHRijwdD1BKEWcgb+3HQDxpTkcm4vGhNFAx9PaSeA6JY3EkMezcWAeAm2QhBK02E/D8CH4VMXontR/4jPZzv1Hb6oXIbGxkaaZMcIpW0j31hcWVWLyulXQq/TxYXtIy6SZTZg+aTBeGjjflSx5hzlxRYsnzRYck7yYCKxzfEkWNAkW4OcsTnx6ZEGbLkQRdxs6FSzi3L74i/bj2NYr2x/wDOHy4Nscwp6ZJpooCK6DHIngLOvLobX5wtYmCortmD2hQWraKmTWg3cwnf/0SpvJBP6aC0GxFOwFYJQi/S8QnQrvCzWxSAUQsw2yoFvLB7ROwd9upmjavtox5EyWO0uPPb+IQwvzMGMsiK0u70wJiehur4Fj79/CM/cPoz3uYZrm8XqLp4EC5pka4DgPNit7W7kBUURv7Z/HkwGPRbfOBBOtwd2lwfZqSno3c2sqQZFENFC6gSwsdWFitd2+aNhso1ExWu7sHHWaCz/4LBq6iSXweALFBLpecMZC8TUWbmBZsItVyQT+uBj04zJMOiT0HDeCXuHR5EXrHgKtkIQBCGGmG18b0657DFNLH9xNMZILps2piQXj98yGDnmlIQcp9VaVGhsdeGjww346HAD7/dC12HbZqujA2aDHklJOjg6PLDaQ4+VultMq4JFMDTJjjFcebDzM03+gGdCUcRL8jNiUWSC0AxSJoA2Z0dANMxgvm92qKZOaj1HpNLqbKTliiRyLHOsWs88noKtEARBiCFmG8MZ02LtUsNn07YfbcTid/Zj4tCeGHdp94Ry71HzmSth97LMBrS5PFj63kHBMsp9H4mHSPPi4aoJ1WDyYNc0tOLY2Tacs3f4V/soGiNBKINYkAw+GHUyXMQMhtUe3rmVPK8UdTYW5QoXNcsQT8FWCIIgxFB6TNOCDRCyaTtqmpCXYYxaWaKB2s9ciTYitYxKvo9oBZpkxxAmD3Z+pgn5mSZYHZ0pu6rrW3DG5kRZsYXzOK059hOElmGCZHAxpiQX1fUtvMdGok6qZTCUPK+S6qwWDKSaZRBqRzQmEwQRbyg9pmnBBojZtHa3N24nbFyo/cyVaCNSy5iIu8Vokh1DmDzYzD9jchKMyUmorKpFQVYq5lxdHDLRpijiBCEPJkhGsKEYe8FHq7KqlvfYSNTJeMgRqaSSoQUDqWYZhNoRjckEQcQbSo9pWrABYjaN2SUajxM2LtR+5kq0EallTMTdYuSTHUP48mCXFmZj9vq9mDmurz+KuN3lgSlFj4Isk39LOUEQ0uALkgF0Rj5VIxWEFIMRTrASJQ2RkqkwxMplMug5A50oidpGOl6CrRBEvHD48GFFzpObm0upwMJAbmAqIbQwSRKyaWXFFv/OtXicsHERjWcuFsxOqTLGU2ouqdAkO0aI5cFe80lNQMCzMSW5eGryUJpgE0SY8AXJUCsVhJjBMKUkYc6GatnBSpQ0REqmwhB7uXl/3ynsq29RNQBONIx0PARbIQit47A2AdDh7rvvVuR8qalmfPPNYZpoh4HUwFRiaGGSxGfTyootmFFWhLkbquN2wsZFNJ55pIHVpJYxnlJzSYUm2TGA8mAThHaQok6GozgLGYwVtw7Bo+8eDCuqt9KGSCl1VsrLjd3lUTWndCIaaYJIRDrs5wH4MHzqQnQv6h/RuWynvsMXlcvQ2NhIk+wwUCrLhFbGX8amnbY58X2zA0DnTtG5G6oxoncOVk0eCgA41tAa93m01X7mSrQNOWVMtN1iNMmOMqdaHDjX5qI82AShIYTUyUhWcfkMRlObizfvpJScyzoANwwpwLTRffzxHBrOt4vfKA9KqbPM/Z6yOnG8sc2fc5WZYAPq55RONCNNEIlMel4huhVeFutidGmkBKaSOn5qZfxlbFqPTBMaW12wpBlw6/AfITfdALvLE9YuMq2i5jNXqm3IKWMi7RajSXYUYRTsPMqDTRBxgVKruMG/Od7YJniMULASq92FBRxlAjpfFNRSiaWSZTbgeGMbZr2+l/c3SgSdEdpdkEhGmiAIQk2UDp4Vi/GXzx4El4XPfspV7bWGWs/c6hCOTm51SG8bsbbL4exIjBSaZEcJtoINUB5sgogHlFzhZxNJsBK1yqQkagdjidRHjCAIguhECwHLIkGOPYgH+6klzAbhaaLZoI9SSSIjVu8MlMIrCljtLnz67VmctjkpDzZBxBFqpceIJPekkivLaqFmTmmx3QVWe2LkPyUIgogGao7XaiPXHmghzVg8kZSk452rlBVboE/SRblE8onlOwNNsqNAw/l25GUYAYDyYBNElLDaXTjW0IrqumYcO9sa1kCq1gp/JLkn42FlWc2c0lKUCIIgCEIaao7XaiPXHsS7ah8pct+LkpN0mFFWFDJXYQKaxsMkO5bvDJreLr5y5Uq8/fbb+Oabb5CamorRo0dj1apVuOyyi0EyfD4fli1bhldeeQXNzc0YNWoUXnrpJQwaNCiGJb8Is0283e3FoVM2yoNNEFFAqa1BaqbHCDdYCbOyvKOmKeQ7La0sqxWMhZQIgiAIZdFKwDK5yLUHuekGjCnJ5Zx0jdG4ah8p4bwXWdIMWPnhYZQW5qCirMgfaLW6vgV//7IOz9w+LFrFD5tYvjNoepK9bds2zJ49G1deeSXcbjcWL16M66+/HocOHUJaWhoA4KmnnsJzzz2H1157DZdeeimWL1+OCRMm4MiRI8jIiE3gMKvdBau9A9ABO2oaUWhJ8yvYL029nPJgE4SKSA1WJhQEg/mutb0Dj90yGI9sOqBKeoxwAoEk6YAZZUUAEDDRZlaWdRfm2LEI8hGMGoFO1FYitPDcCIIgok2k43Xw2JluTEZbuxtWh3pjaTj2YPbVxfD6fCH2c/bVxYqWTUuEG8Q1y2zAslsG48G39mHN1hr/58HvQOy6z0pNQZoxGa1OtybsaCx3L2h6kv3vf/874O9XX30VeXl52LNnD8aOHQufz4cXXngBixcvxm233QYAWLduHfLz87F+/XrMnDkzKuVkJtVenw86nQ5nbA74AKQbU5CXacLnx5tIwSaIKCFla1Cby8O7oqsDAqKPmg16LJk4EItvGgCHyxPxCn+kk7iUpCSs/+IE58ry+i9O4NGJgxI6MJiauwvUfm5y6p4m+wQhj8OHDyt2rvb2dhiNRkXOlZubq8n83UqOMVxjZ3mxBdPLivwpHNWwQXLtQWOrCxWv7UJFeVGI/ax4bRfem1OekONsuAHfrHYXnB0ePDxxILw+H+ztHmSlBr4DsevebNDjxSmleHVHbcAiRizfP4TayJiSXKSb1JsKa3qSHYzVagUAdOvWDQBQW1uL06dP4/rrr/f/xmg0Yty4cdi5c2dUJtmnWhyob7bD5/Mh05SC6voW/3f5F1J1kYJNENFDbGuQ1dGBpe8d5F3RvWFIQcB3dpcHi97er0h6LCUmcS0OF6aO6o1Xd9QGrCwzSnaz3YVnt3ybcClKGBj/wQff2qfo7gIl0rUJIafuE3mRhCCUxmFtAqDD3XffrdxJdTrA51PkVKmpZnzzzWFNTbSVHGP4xs6qmib4AFSUF2HN1hpVbJBce2BzdsDu8gTYTjaJ6m4UzpZpoTbCVrDZv6koLwqZYAOxff/gayNlxRZMG90HD2/cj2W3DFbFtsbNJNvn82H+/PkoLy/H4MGDAQCnT58GAOTn5wf8Nj8/HydOnOA9V3t7O9rb2/1/22y2sMrE5L1mhuHelrSQybIxOQl2l4dTwU5O0qF7hhEF9NJEEIr1S7GtQWaDXnBFd9roPrzfRZLeQ6lJnNmQjLkbvuBciZ+7oRpv/2Z0wqcoUcN/UM3ULnLqXu3JvlyU6pcEoRYd9vMAfBg+dSG6F/WP+Hyn9n+OA+++osj5bKe+wxeVy9DY2KjoJDuSfik2xjx9+zBZW32Fxs4dNU2ouODexFxDaRskxx501cBncu9bqh0KrvvSXtm8Cxhqv38I7czomZ2Kp28fhmMNrWhxdAS8M9ldHrS71bGtcTPJnjNnDvbt24eqqqqQ73S6wEA/vgvbtvlYuXIlli1bFlF5gvNeA6Gpc5hAZ0yQIraCDcCvjBEEoUy/BMS3jyWJBAZrd3t5v4tklVupSZxBn4TSQm5DVlZsAUTiniXKSr3S/t5qBkeRU/day+OqVL8kCLVJzytEt8LLxH8ogu3Ud4qeTw0i6ZdiY8yxhlZM/esX/s/EFG6xsTPYpqphg6TaAzXdjbRMONvqpdih4LoXen8C1Hv/kLIzo9XpDmjXbNSyrXGRwuu+++7Du+++i08++QSXXHKJ//MePXoAuKhoMzQ0NISo22wWLVoEq9Xq/1dfXy+rPFa7C58euZj3mvlnTE4K+EepughCOpH2SwaxdCTJIpNsYzL/sBjJKrfYi0iz3SUpzVizvV0wpYZPZItjoq7UR4qaCoecCbzWoqcr1S8JglCOSPql2BjTEiQYieUTFhs7g21qLG2Q3HRlSqQC1QJy71uqHUo3Bmq1Qu9PgDp1LzUPdixsq6aVbJ/Ph/vuuw8bN27Ep59+iqKiooDvi4qK0KNHD2zZsgWlpZ2KsMvlwrZt27Bq1Sre8xqNxrADWljtLpy2OZGXeTHvNUN1fQt6Zl1UtinQGUFIJ5J+GQyzNai5zQWb043M1GTkmA3IzzTBanfxp/AotuCMzcl5zkhXucVeRKyODty3oVrUJ86Ukoy5G77k3S7+wX3lXXKlPlLUVDjkTOC1tp1RyX5JEIQyRNIv5U6KAWGlT2jsLCu2BMQq0oINkrq9PNFiYyi9rf5kiwO7TzQHpBStrm/hTTGqVt1LVd1jYVs1PcmePXs21q9fj02bNiEjI8OvWGdlZSE1NRU6nQ7z5s3DihUrUFJSgpKSEqxYsQJmsxlTp05VvDynWhxocXSE5L1mOHTSiisKc2A2dA5QFOiMIGKDkHFMM+h5U3jMKC+CDqF5qJVI2SXlRUSK321Skk5wu7jH51MlMFiio1ZANUDeBL6rbmckCCI6yJkUs+FT+vjGTnZ0cUBbNkhse7nWYmMohVLb6tNNyXjgH19jz4lmvHjB7XVHTRMqq2rx4pRS6NAZ+I59jFp1L1WhjoVt1fQk+09/+hMAYPz48QGfv/rqq5g+fToAYMGCBXA4HJg1axaam5sxatQobN68WfEc2UyQs0JLGjJTk+Hs8PijhjOT6qLcvvjL9uMY1isb1/bPg8mgx2M3D4bT7YHd5UF2agryMoxx2TEJQuswQS88Ph8ef+8gtnNEt1z41j4svnGAP4XHgzf0R/05h18JnrO+82WAUYkzU1PQzWyIOKgWIBzhcgbrRUTMNyg5SSeYJztJp1MlMFhXQK3nJmcCr+ZknyAIgm+MGVOSi2mj+/htUTBpRv4pAzN2nrY58X2zAzqdDj6fD3qdDqunlOKSnFT0yDTFzfjVcL5dU7Exoo2YHWprd/ufz9wN1QE765J1Ojx68yA0nm+HMVmPDFMyDPokNJx3wt7hUTwdpVSFOha2VdOTbDHfQqAz6NnSpUuxdOlS1crBDnJmdXTAbNDjjM0ZsB2cmVQvvnGgf1JtTNajewa92BKE2rCV67XTRoRMsBm2H21Eiz0whUd1XXPI1qY1W2tQVmzBiklD0Ds3TbFyMi8iP7Q48F2TPSTCJYOQb5AlzYCVHx7mzJP99y/r8MztwwAoHxisq6DWc5MzgadFEoIg1IRrjDHodXj0vYMBtoihrNgCg17Y35YZO3tkmuJ67DrZ4kDdObvgbxIlgKgQQnaouq7Z/zuulGh/vOtyzHp9L/4zbwwee/+Qqlvu5SjU0batmp5kawGr3YVPvz2LvAyj/2XWau/wBzQL2Q5enIvHJw3GoJ5ZMS45QXQNgrd1iUW3NBv1/v9ntjYB3Kqw1eECoNwkG4A/7cWs1/fy/kbINyjLbMCyWwbjwbf2BRg2Ujq1j5wJPC2SEAShJsFjzNf1zZg6qjfa3d6I7GE8j13M+8R0nlSeDF0lgChfXUr16/++2aH6lnu5CnU02ydNskVobHUhL+NikDMmuNlHh89gWK/skLzXtY1tyDF3jc5HEFogOOiFWHRLAH6fa7vLE7DVCQCyUlPw6bdnMXdDNd6bU65KmSP1DSKlkyAIglCSdGMKpvzlC96gmmrZQy3BvE8M65Ud9QBe8US4fv0MSm+51+o7EU2yRbA5OwKCnDHBze4d09evYjMwQc1iXakE0ZUIDnohFN2yrNiCT440BPg0M1udmNX6X1Z+CbvLo6ohVcI3KJ7VAoIgCEJb5KYbMKJ3DmdQza4ysWTeJ/h2uVH63U6kxJgZU5IrONlWesu9Ft+JaJItQqYpBefaXP4gZ/eOuRjcjFGxHS4Pss0pcRXUgSASheBtS2JbwJmgLhXlRbinvC8yTclwub3YebzJ7xsdja3XWl15JQiCILoeFHTx4vtE8C43RtUv7p6OgjhM36UGwcHuAPh3PYzonYPHbhmMG1/cznt8V9hyT5NsEXLTDfjyu3MBQc7mXXcpgIs5r/vkplFKLoKIEcHbltjGcfb4YhhTktDeETiJBjqDm40tycXqCxPy/EwTruufF9XJrhZXXgmCIIiuSVdf/GW/TwQH9GK/LxCdBAe7s6QZcOvwH/l3PYzondOl01HSJFuELLMB4y/tjqLcNKzeepRyXhOExuBafbe7PNhX34K7RhaiIDsVJ1sceHnbsYCoqcGr813lJYIgCIIg+OjKi7+k5ocHX5vp6s+SJtkSKMhOhdmgx4pJQ9DmcsPu8iCLcl4ThGYQW33v6qvzBEEQBEGIQ+8LytHVnyVNsiXSlVf2CCIeEOuj1IcJgiAIghCD3heUoys/S/FcNwRBEARBEARBEARBSIIm2QRBEARBEARBEAShEDTJJgiCIAiCIAiCIAiFIJ9sAD6fDwBgs9liXBKCSDwyMjKg0+lkH0f9kiDUQ+1+2draCgCwfn8cXrdH8LditDb80HnN09/BaDRGdC6lz6fVc1HZtHG+86dPdJ6ztVWSLSN7SRDaI9x+qfMxPbML8/3336NXr16xLgZBJCRWqxWZmZmyj6N+SRDqQf2SILQH9UuC0B7h9kuaZAPwer04efKk4EqFzWZDr169UF9fH9aDjjXxXn6A7kEryL2HcFcApfRLMRLheUcLelbSSYRnFct+Ge8kQv3HEnp+/KjVLxPhmSfCPQB0H1pC6j2E2y9puziApKQkXHLJJZJ+m5mZGbeNCYj/8gN0D1pB7XuQ0y/FSITnHS3oWUmnKz4rJftlvNMV619J6Pkph9R+mQjPPBHuAaD70BJq3QMFPiMIgiAIgiAIgiAIhaBJNkEQBEEQBEEQBEEoBE2yJWI0GvHoo48qErkyFsR7+QG6B60QT/cQT2WNNfSspEPPqmtD9R8Z9PyiTyI880S4B4DuQ0uofQ8U+IwgCIIgCIIgCIIgFIKUbIIgCIIgCIIgCIJQCJpkEwRBEARBEARBEIRC0CSbIAiCIAiCIAiCIBSCJtkEQRAEQRAEQRAEoRA0yQbg8/lgs9lAMeAIQjtQvyQI7UH9kiC0B/VLgtAeNMkGcP78eWRlZeH8+fOxLgpBEBegfkkQ2oP6JUFoD+qXBKE9aJJNEARBEARBEARBEApBk2yCIAiCIAiCIAiCUAiaZBMEQRAEQRAEQRCEQsR0kv3ZZ5/hZz/7GXr27AmdTod33nkn4Hufz4elS5eiZ8+eSE1Nxfjx43Hw4MGA37S3t+O+++5Dbm4u0tLScPPNN+P777+P4l0QBEEQBEEQBEEQRCcxnWS3tbVh2LBhWLNmDef3Tz31FJ577jmsWbMGu3btQo8ePTBhwoSAwA7z5s3Dxo0b8cYbb6Cqqgqtra2YOHEiPB5PtG6DIAiCIAiCIAiCIAAAybG8+A033IAbbriB8zufz4cXXngBixcvxm233QYAWLduHfLz87F+/XrMnDkTVqsVa9euxd/+9jdcd911AID/+7//Q69evfDRRx/hJz/5SdTuhcFqd6Gx1QWbswOZqSnITTMgy2yIejkIgkhsaKwh4g1qswRBEERXIaaTbCFqa2tx+vRpXH/99f7PjEYjxo0bh507d2LmzJnYs2cPOjo6An7Ts2dPDB48GDt37uSdZLe3t6O9vd3/t81mU6TMJ1scWPjWPmw/2uj/bGxJLp6cPBQ9s1MVuQZBJCpq9ctEhMYaIloo1S+pzRKEcpC9JAjto9nAZ6dPnwYA5OfnB3yen5/v/+706dMwGAzIycnh/Q0XK1euRFZWlv9fr169Ii6v1e4KeYEAgM+ONuLBt/bBanf5f3esoRXVdc04drbV/zlBdHXU6JeJiNXuwiObDmBYr2ysnTYCf7zrclROvxJDe2Xj0U0HaEwhFEWJfilkHx/ddABnbE6yiwQhA7KXBKF9NKtkM+h0uoC/fT5fyGfBiP1m0aJFmD9/vv9vm80W8QDV2OoKeYFg+OxoI5raXGhzeWglnyB4UKNfJiJNbS7cObIQr+6oxZqtNf7Py4otmFFWhKY2F23BJRRDiX7JZx/NBj1+PrIQD7z5FbbXNPk/J7tIEMKQvSQI7aPZSXaPHj0AdKrVBQUF/s8bGhr86naPHj3gcrnQ3NwcoGY3NDRg9OjRvOc2Go0wGo2Kltfm7BD83uP1CSrdq6eU0otxgqFl/0Mtlk2NfhkLxJ5tpM/e7fXh1R212MGalADw/730Z4OUuRGCgDL9ks8+VpQXcbZlsovKoaWxXktliXcSxV4mEnV1dWhs5BbbIiE3NxeFhYWKn5dQH81OsouKitCjRw9s2bIFpaWlAACXy4Vt27Zh1apVAIArrrgCKSkp2LJlC+644w4AwKlTp3DgwAE89dRTUS1vpilF8HuP1yeodDe2kvqUSGjZ/1DLZYt3xJ6tEs/e6/WFTEoYdtQ0weP1RXYTBKEwfPaxtFd2wG4MNmQXI0dLY72WykIQSlNXV4f+/QfA4bArfu7UVDO++eYwTbTjkJhOsltbW1FTc9HA1tbW4quvvkK3bt1QWFiIefPmYcWKFSgpKUFJSQlWrFgBs9mMqVOnAgCysrJwzz334He/+x0sFgu6deuGBx54AEOGDPFHG48WuekGjC3JxWccE+mxJbmwu9yCx58XUcKJ+EHMPz+W6oyWyxbviD3bp28fpsizFxtL7C5KX0hoCz772O72Ch5HdjF8tDTWa6ksBKEGjY2NcDjsGFXxKDIL+ih2Xtup7/BF5TI0NjbSJDsOiekke/fu3bj66qv9fzP+JdOmTcNrr72GBQsWwOFwYNasWWhubsaoUaOwefNmZGRk+I95/vnnkZycjDvuuAMOhwPXXnstXnvtNej1+qjeS5bZgCcnD8WDb+0LeJEYW5KLVZOHir74Zogo4UT8IOafH0t1Rstli3fEnm1zmzLPPitV+DdZqTSWENqCzz5mi7RVsovho6WxXktlIQg1ySzog26Fl8W6GIRGiOkke/z48fD5+Lc26nQ6LF26FEuXLuX9jclkwurVq7F69WoVSiiPntmpWD2lFI2tLpx3diDDlILc9E6fI6vdJah056aTgUkUxPzzY6nOaLls8Y7Ys7U5ldnNIrZrhsYSQotw2cd0UzK1ZZXQ0livpbIQBEFEC836ZMcrWWbuQB5iSjet4mqLSAK0iPnnR6rOaLlsXRmxZ5tpEh5uuZ49X10rPZZQQCIiGnDZR7KL4SHWZyMd65UcE8juEATRFaFJdhQRUroJ7RBpgBY1lUYtl62rI/Zsc9LkPXuxulZqLKGAREQsIbsoHyl9NpKxXukxgewOQRBdkaRYFyDesdpdONbQiuq6Zhw72wqr3SX4+yyzAf3y0jG8MAf98tLpRUJjiAVoEatf4OKuhbEluQGfR6rOaLls8Y7cfsyF2LPNzzRJfvZS6lqJsUSJNkUQUhDqY2QXpSO1z4Y71qsxJpDdIQiiK0JKdgSQApR4KBWgRQ11Rstli2eU7Mdiz1bqs49WoCAKSEREA7KVyiGnz4Yz1qs1JpDdIQiiq0GT7DChlBSJSSQBWrh82PrlpUdcJua8TW3CCoKc4DF8sQO6Gmr0Y7Fny/6eqdvjjW3ITE1BujEZbe1uRetaCApIRKgN2UplEeqzZoMeXp8PxxpaRe0Qn8+1mmMC2R2CILoSNMkOE1KAEpNwA7SopdSwz7t22oiwykbwE8t+zNVmyostmF5WhCSdTvBYpeqaAhIRakO2Uln4+qzZoMeLU0rx2HsHsb2myf85lx0Sslc0JhAEQSgDTbLDJNoKkFikT4oOrAzhBGhRS6kJPm91fQvKii3YwXqBYpgwIA/ppuQQBSPR20Ck7Z6rH5sNelSUF6G0V3anony2VfFnyddmqmqa4ANQUVbEW9dC7VDus6CARITaRMNWdiX7yNdnK8qL8OqO2pAxI9gOidmrp28fhrEludh9otk/Dra7vTCl6HHG5qQxgSAIQiI0yQ6TaK72iqmk5O+mHOGkR1JLqQk+b2VVLV6cUgoAAS9SEwbkYcnEgXjgH193qTagRLsP7seMGvTqjlqs2VoT9nnFEGozO2qacG95X8woK/L/zS4HVzsM91lQakFCbdS2lV3NPvL12dF9LQFjFhu2HRKzV23tbqyaPBQnztmxeuvRgHOOKcnFuEu7I8us7D0RBEEkIjTJDpNoKUBSVp3J3y1y2EpHVmoKnr59GFqdbkkBWtRSaoLPa3d5MHdDNSrKi1BRVoQMUwosaQakm5JDJthAZG1A68qPUrsHgvuxVDUoUsTajL3Dgwf+8XVIXXO1QynPAkBAfTK+31aH/PZOEHJQ01Z2NfvIjMut7R14fNJguNxetLW7kWFKgdUhLY6D2Nhjc3TAkmbAS1trQsbB7Rp9blq3VwRBdE1okh0m0VKAxFadm9vI3y1ShJQOKYHL1FJquM5rd3n8ysLH88ehX146jjW0KtoG4kH5UWr3QHA/Lu2VLUkNihSxNmNMTuKsay6EnsXuE81otndgyaYDnL7fczdUw+7yyGrvBCEHNW1lV7KPYuPysYZWweMZOyTFXjW2urC9Jj6eWzzYK4IguiY0yY6AaKSkEF11droFv6fowMIooYhKVWrkrrZLPS9fG2F8i9vdHlTXNUu6ZrxEAlZy9wC7H0crqrdQ3ZYVW1Bd3+L/m6nr4N0WacZktDo7I5FXTr8Se+uaUVlVC7vL4z+2orwIS97ZHxAICWD5fpcXYc3WGs3VL5FYqGUru4p9lDIu840pZoMeSyYOhNfnQ3VdM7qliduV441tguUJfm6xUpLjxV4RBNE1oUl2hKidkkJs1TnTJFyFFAlUGCUUUSlKTTir7VIVIK42Eq5vcbxEAlZ694C/H0tUgyKFr27ZCjPQWV9PTR6KNpfH337YdcvezllWbMGLU0r96jQAQWV+R00TKi74fQPaql8i8VDDVnYV+yhlXO6Xlx4yppgNelROvxIvba3Borf3B3zmA0LsEWNXMk3Ci43s5xZLJTle7BVBEF0TmmRrHDE1M0fCqjTBj1KKqJBSI7Ta/uimA1h+6xC0Ot2cKoAUBYirjYTrWxwveZPV8vMMN7p8OCoOV92mmzp9pdf/apS/rgFgzoZqf/vhq1vmb0adlkK72xvwt1bqlyCk0FXso9RxOXhMyTEb8Pj7hzCsMBvTy/r4o4R/UduEm4f1xCMTB/p9utl2Rc7urFgqyfFirwiC6JrQJFvjiKmZ+Zkmig4cAUoqonxKDd9qu9mgx89HFuKBN78SzGsqpgBxtZFwfYvjJUeqWn6ecs8bqYojRd0L9rmXqk6PLcnFJTnCZTAmJwX8rZX6JQgpdBX7KGdcZo8px8+24s5RhSE7msqKLZhRVgR9kg7DC3NCzid1HIy1khwv9oogiK4JTbLjADE1Mxq+4YlKuIqoHPWSvdrOzsHcLc2A5zYfCfGXDUcFCG4DHV5fyG+k5H+Op7zJarV7qeeVquKcsTnR3OaCzelGZmoycswG5GeaJJcnWK0JVp+DyTCl4OP54/x1xVefY4pz0S3N4PfnPnLKpqn6JQgpdAX7KDQuTxiQh3RTMo41tIbYI7fXJ7jrZenPBvFeU8pzk6okq+WzHU/2iiCIrgdNsuMEKWpmPL00aIVwFFG56iWz2h7sJ7122oiQCTZDOCoAuw0ER5qV6qMdb3mT1Wr3Us4rpuI0tblgdXRg0cb9AS+55cUWrLh1CAotaZLKEqzWBKvPwVjSDAFRwvl8v6eV9cFdf/0CdpfHXyat1S9BSCHR7SPfuDxhQB6WTBwYksKRGde9Pl/IBJthR00TPL7Qxdjg6wo9N1Gf+NQUVX22481eEQTRtZA1yT5y5Ag2bNiA7du347vvvoPdbkf37t1RWlqKn/zkJ5g8eTKMRqNaZe1SUN7H6CFH6QgrJ7EpGWNLcjG0V3aAqiCmSEbiTxZJ/udEUH7kEk5/E1Nx3B4flmw6EPLMq2qa8NDG/Xj2juEhijZXOYLrsrq+BWXFFs6XZy71hl2fVkcHnB0e7DzeFBAgraqmCQ+/c4Ci8RKapivbRb4YDsETbKAzdd+2b8+iRCQlX1u7cPR1McSU5DQjd/mU9NnuivaKIIj4QNIku7q6GgsWLMD27dsxevRojBw5EpMmTUJqairOnTuHAwcOYPHixbjvvvuwYMECzJs3jybbEUB5H6OPVKUjnJzEEwbkYfmkwfi+2RGgIospkpH4k0Wa/znelR85hNvfxFQcj4CKVFXThOY2V8Akm68cqyYPDajLyqpavDilFLoL5wn+LVe9MfV5rKEVt/1pJ2eZKBovoWXILoaOy8HxGoDAXUsP3jBA8Hxphsg2M4opya1Od1R8truSvSIIIn6QNMJOmjQJv//97/H3v/8d3bp14/3d559/jueffx7PPvssHnroIcUK2ZWIdbROQhgh9ZIvJ/GWww0AgF+P7xfwuVxFUiqM2tPa3oHHJw1Gh8eLZjtFYeUikv4mpuK0iqhENmcHjl3wiweARzYdwLBe2Zg++mIU4L11zXhk0wE8c/uwALUmMzUFz94xHK1Otyz1hqLxEvEI2UVuuPoze9eS2+PltTFlxRbok3SSriO0g0BISd574pzgeWm8IQgikZE0yT569CgMBnEDdtVVV+Gqq66CyyWcY5HgJ9bROglhhNRLIbV4y+EG/O76ywI+YxRJAAEvQZH4kwWrPUxOVC9HIDQ2XTUKayT9TUzFsYpOaN2448//xdiSXDx+y2BMHVWItVXcUYCb2lzo2z09pCz5mVLvtBOKxkvEI2QXueHqz2w7ZLV3YMaFbANsG8OOLi6GlB0EXEryyRYHnB3iQRoJgiASFUmTbCkT7Eh+T1yElCZtI6ReiqFP0gUca3d5MHdDNSrKizB7fDFMKXpkpYbvT8al9lSUF2H11qMoLczhVTSEotMmOpH2NyEVJ8mmQ3mxJWBLN0NZsQXV9S0AOicJO4834YN9J8OKAswgxV+VovES8QjZRW64+jM71sfuumYcOmlFaWEOKsqK0O72wpichOr6Fvz9yzo8c/swwfOHu4OAOW5Yr2xJu7W6sq89QRCJiyyHnLa2Nqxfvx47d+7E6dOnodPpkJ+fj7KyMkyZMgVpadKi5RL8kNKkbYTUS7GcxPokXcixdpcH++pbcNfIQhRE6FfIpfYwqkZ1XQunan6dSHTaRPd1VKK/8fkD5measOLWIXho4/6AiTajIs3dUO3/LC/DyDkZBy5EARbZiSDVX5Wi8RLxCNlFbrj6MzvWB7NbiiurhJT+Hu4OAua4PSeaOe3OGNb1ydeeIIhERfIk+9ChQ5gwYQLsdjvGjRuHwsJC+Hw+NDQ04Pe//z2WLl2KzZs3Y+DAgWqWN+EhpUn78KmXAH9O4rElubBcWJ1XKxIql9rDqBps1ZytaPTrnobF7xzosr6Oave3Qksanr1j+IU82R0473Sjur4lILI3IB5pnv3bYOSqTRSNl4g3yC7yE9yfc8wXn1XwuA8Ahd3MyMswSurv4e4gYI7jszuF3cwoyE4lX3uCIBIayZPs2bNnY+zYsVi3bl3IdnCXy4Xp06dj9uzZ+OSTTxQvZFeClKb4gE+9lFJ3akVC5VJ72KqG3eUJ8Rn/9/1jurSvYzT6W36mCfmZJhxraMUdf/4v52/EIs1npfIrdeGoTRSNl4gnyC4KE9yf2c+KGfeZZyVnx1S4OwjYx3HZnY/njwNAvvYEQSQ2kifZX3zxBXbv3s3pb20wGPDQQw9h5MiRihauq0JKU/yiZN3J9VPjUnvEIpjbXcIRsIOVikT0nVO7vzHPzOPz4boBeehfkInSXtkBEcTPtbnCVurIX5XoCpBdlI7Qbis5sTfC3UEg9bhEH7sS0V4SBCEdyZPsnJwcHD16lHc7eE1NDXJychQrWFeHlKb4RYm6C8dPjUvtqayqReX0K5Gk03HmXxbahgwEKhWJ7DunVn9jP7PcdANe/9WP8dj7BwOUnfJiC+644hKUF+diYRhKHfmrEl0FsovSCX5WStkU5jihcUnqcYk8diWyvSQIQhqSJ9n33nsvpk2bhocffhgTJkxAfn4+dDodTp8+jS1btmDFihWYN2+eikVNbGjFk2CIxE+NT8FYw6MAWe3SFFTynZNP8DO7c2QhHnv/YMiugqqaJjz8zgGsnlIallJH/qpEokP2MTLUsCliz1/KcYk6dpG9JAgCkDHJXrp0KVJTU/Hcc89hwYIF0Ok68yv6fD706NEDDz74IBYsWKBaQRMZWvEk2ETqp8an9vB9JkVxIN85+QQ/M6E86swz7JcXmgtbDPJXJRIZso+Ro5ZNEUPsuEQdu8heEgQByEzhtXDhQixcuBC1tbU4ffo0AKBHjx4oKipSpXBaQ43VdLkrnrSin/hE209NiuKQCL5zZ2zOC1G+3chMTUaO2YD8TJNq17M6XAF/i0UQj+QZkr8qoSWUslNS7SPZRWG0PH4n4til5edNEET0kDXJZigqKuoyE2sGtVbT5ax40op+1yAWfmpiikO8+87VNbVh0cb9AVu1y4stWHHrEBRa0lS5ptkQOLyKRRCP9BmSvyqhBZS0U2L2sanNhTaXh+yiCFofvxNt7NL68yYIIjoIv/UF8f3332Px4sW4+uqrMWDAAAwcOBBXX301Fi9ejPr6esUL53a78fDDD6OoqAipqano27cvHnvsMXi9FxUhn8+HpUuXomfPnkhNTcX48eNx8OBBRcshtpputbt4jhRH6oqnmmUgtAXjp8ZFrPzUtFgmqZyxOUMm2ECnL/RDG/fjjM2pynWTknQoK7b4/2YivXOh9WdIEFJQ2k6J2UeP10d2UQLxPH7HI/S8CYIAZEyyq6qqMGDAAGzcuBHDhg3DL3/5S9x9990YNmwY3nnnHQwaNAg7duxQtHCrVq3Cyy+/jDVr1uDw4cN46qmn8PTTT2P16tX+3zz11FN47rnnsGbNGuzatQs9evTAhAkTcP78ecXKIUVtDhepK55qloHQFoyfWrCRjqWfmhbLJJXmNhdnCjOgc6Ld3KZO30lO0mFGWZF/Yl1ZVYsZZUUoD5pox8MzJAgpKG2nxOyjx+sjuyiBeB6/4xF63gRBADK2i//2t7/Fr371Kzz//PO838+bNw+7du1SrHCff/45brnlFtx0000AgD59+mDDhg3YvXs3gE4V+4UXXsDixYtx2223AQDWrVuH/Px8rF+/HjNnzlSkHJH414j5ilE+SYILrfipsdtvVmoKnr59GFqd7rjynbM5hXOB25wdOHa2VXE/TkuaASs/PIzSwhxUlBWh3e1Fsq5z4j376mIYk/XISo1eHnWCUBs5O7OktF0x+2h3CfdtsosX0YpNiTXRGjfpeRMEIXmSfeDAAfzf//0f7/czZ87Eyy+/rEihGMrLy/Hyyy/j22+/xaWXXoqvv/4aVVVVeOGFFwDAH4Dt+uuv9x9jNBoxbtw47Ny5k3eS3d7ejvb2dv/fNptNsBzh+tdI8U2jfJIEH7H2UxNqv/3y0hW/ntx+KZVMk/Awd97pxh1//q/ifpxZZgOW3TIYD761LyCqONO3CyK4DsVnIKKFnH4pZqcyU1NktV0x+2h3eQSvR3YxkFjblFgT7XFTzeetlr0kCEI5JE+yCwoKsHPnTlx22WWc33/++ecoKChQrGBAZzRzq9WK/v37Q6/Xw+Px4IknnsCUKVMAwB/hPD8/P+C4/Px8nDhxgve8K1euxLJlyySXI5xcjnKihnflfJLERbSkTMYiz6fcfimVnDQDyostqOLYMl5WbEF1fQsAde4tuG9npqYgzZiMVqcb1XXNYdUz5WAloomcfilmp9KMyXjgH1/LartC9tFqd5FdlICWbEusSLRxUy17SRCEckieZD/wwAP49a9/jT179mDChAnIz8+HTqfD6dOnsWXLFvz1r3/1K8xK8fe//x3/93//h/Xr12PQoEH46quvMG/ePPTs2RPTpk3z/47J2c3g8/lCPmOzaNEizJ8/3/+3zWZDr169eH8fTi5HuXkSu2o+SaITrSmTscjzKbdfSiU/04QVtw7BQxv3B0y0y4otmFFWhLkbqv2fqXFv7L59ssURMsmQW8+Ug5WIJnL6pZidanW6w2q7fPaR7KI4WrMtsSLRxk217CVBEMoheZI9a9YsWCwWPP/88/jzn/8Mj6dzm5Zer8cVV1yB//3f/8Udd9yhaOF+//vf48EHH8Sdd94JABgyZAhOnDiBlStXYtq0aejRoweATkWbraI3NDSEqNtsjEYjjEajrLLI9a9Rw4eafHwSEy2usMciBkA4/VIqhZY0PHvH8At5sjtw3ulGdX0L5m6oDtlyqpYfp1L1TPEZiGgit18K2anqumbBY8kuKosWbUusSLRxU017SRCEMsjKk/3zn/8cP//5z9HR0YHGxs5BOzc3Fykp6vg92e12JCUFBkDX6/X+FF5FRUXo0aMHtmzZgtLSUgCAy+XCtm3bsGrVKsXLw6ymM1uvjje2ITPVxbn1Kt0o/GjD9RXr6j5VahOLbXVaXGFPxBgA+Zkm5GeacKyhFXf8+b+8vzMZ9Dhjc6LV6Va0HYjV86kLqcTErpOIdUMkFuw2bHN2ABc2lqnVdruSXZRjo7RoW2IFjZsEQUQbWZNshpSUFMX9r7n42c9+hieeeAKFhYUYNGgQqqur8dxzz6GiogJA5zbxefPmYcWKFSgpKUFJSQlWrFgBs9mMqVOnqlImKVuvTrY4sPtEM8qKLZypg8hXTJvEaludFlfYEzkGgNC9lRVb4HJ7Mf/NrwL6rhLtQKyej59tw4oPDoteJ5HrhkgM+MbSlbcNwZiSXM6J3xhqu6LItVFatC2xgsZNgiCijeQ82WIcO3YM11xzjVKnAwCsXr0a//M//4NZs2ZhwIABeOCBBzBz5kw8/vjj/t8sWLAA8+bNw6xZszBixAj88MMP2Lx5MzIyMhQtCxC49cps0GPONcVYO20E7hxZiBNNbThjc/p/8/j7hwJy5DKQr5g2EdtWZ7Urn2/VanfhWEMrjMnC3TAWK+yJnOeT797GFFuw4Cf98cJH34YsjinRDsSUFGNykqTrhFM3TFurrmvGsbOtqrRnggCE7eR5Zwdmjy8OsYtlxRbMvro4RiWOD8KxUaTeXiSRbRpBENokLCWbi9bWVmzbtk2p0wEAMjIy8MILLwgGVNPpdFi6dCmWLl2q6LW5YLZemQ16vDilFK/uqA1IzTOmJBcP3zTAbwTnbqhGRXmRP0euMTkJxd3TI0rdQ6hDtLfVsRWJOdcUa3LXQyL7OuoA3DCkANNG9/H3zTM2J5L1wNZvznIeE2k7EFPQ2VHOxa4jp24o8BERTYTs5NppI3Afh12srm9BxWu78N6c8oQYX9QgHBuVm26gnQMsEtmmEQShPSRPsl988UXB73/44YeIC6N1mK1XFeVFeHVHbcikaPvRRnzf7PD/bXd5AibhAPDOrNHojTTFykSpOZSBa1ud2aBHRXkRRhTmoMPjxTenbbC3u5FlNkT0nIMVicqqWrw4pTOmQPAWZfYKO19dq9kG4tnXUeh5LeBQhIDOSYAQUrZX8l2XLxIyV5RzKdcJrhtGrWZfFwCv+rXwrX1YMnEg9Ek6GjcIxRCyk+1uL6ddZFBj+3Ki2Ei2jcpNN2DV5KHIyzSi1elBhikZep4NUbOvLobX5wuoB6GdA8zzam3vQLbZAJfbi9Z2d1w/OzbxbNMIgogvJE+y582bh4KCAhgM3IOTy5X42w+ZrVelvbJ5XxLEUHJ7FilUyhG8rY5RYdZ/cQLDe2Xj8Q8OKeajG6xI2F2egF0PWakpyDEbAlbYuep6woA8LJk4EIvfOUBtIAihvuHs8PAqQmKI9V+xPskoKaesThxvbPOreMFRzuWOE3zXfeyWwdhzgjui8/ajjag/Z8c963ZTmyEUQ8hORts1JpFsJPNcc9MNeP1XP8Zj7x8MsEnlxRasuHUICi0XF/EbW12oeG2X5J0DzPPac6IZL04pxVP/OaJ4bAqCIIiugmSf7N69e+P5559HbW0t578PPvhAzXJqAma7Z7vby/ub6voWjAny+WFQcutvLHyIExmmbhkYFWZgzyzOXQtynnOIP6wj9BhG3bln3W4kJ+nQLy89QMHmquvLCjKxaOP+qLSBePLpFesbbq+P99jq+haMCfIXZRDrv1L7ZJbZgIIsE974sg73rNuNNVtrYHd5kJtuwNppI/DBfeVoamvHN6dtOHMh4ni497tk0wFUlBfxHsuMZTRuEEohZCer61tC/LEZlHaNSTQbyTzXVZOHhkywAaCqpgkPbdwfMGbYnB0BtmXW63sDxhz2zgH28+LbrRevzy4c4snmEQShTSRPsq+44grs2bOH93udTgefj//lNRFgtntmp/KvtldW1eLxWwarHlxDin8WIZ3goCilvbKxo6bJ/18upDznky0OzNlQjWuf24Zb/7gT1z67Dc4O/kUaIFTN4avrSMsmFa57uG9DNU62OMQPjgFifcMrMMmurKrFkomDUB5GwEI5fTK4vTHqVOWOWty0ugp3/Pm/+OkL2/G7N79CXVMb7zXFrrv9aCNKe2XzHstWFmncIJRAyE5WVtVGLSBootlI5rn2yDTxjvtVNU1obrt4X2aDXvCcbFvDfl7Rsi1aJd5sHkEQ2kTydvHHHnsMdrud9/uBAweitrZWkUJpmZ7ZqdAn6XiDiYzonYMcc4pocA2r3YWmNhfcXh+8Ph+vry+vXymHGsqmK6XmUAp2UJSmCy8qfLsWGH/tdrcH1XXNnP5qfErKzuNNKC+2oIrjJWbCgDykm5IDfGv56lpoRwWgTBsQU4NWTynVnH+bWNoam7MDG+4dhR3HmlBZVRuwTfuK3jkwJSfh2TuGo9XpxvkLdZBmTEar081b11Kuy9THGZsTzW0u2JxuLL5pAJZdcKZ8eNMBXnXq2TuGIz/TFNb98sEOthZcRoKIBD47ybjGLJk4EEt/Nght7e4A+xixXWR9LrRjBYjPtt4zOxXfNwe+hzG2qLRXNtrdXnh9Pr/qureuBdf0746BPbP835tS9Nhb14wjp2wBOwfY40g0bItWiUebRxCENpE8yR44cKDg9ykpKejdu3fEBYoH8jNNWMURwCh4NZ5vID7Z4sAjmw7gzpGFIVuy2D5PQn64ctVQQhr+oCgNrQC4fQj5ossH+6vxKSlMoDOdTsdZtw/84+uAz9f/ahRnWaPh3xjtqOtKIJa25rzTjXvW7UZ5sQUvTin1+0Mz/ZeJ/p+f2fn7ky2OkDrh8k2Uki6nrqkNizbuD/GlfHjiQFF1im+SLXbdvExjSPR6rmBrTBkJQgn47OSI3jkYf2n3kCwbSthFdnwKsSCG8drW2f1dyBYtvmkAnt18xO+/zf6+vNiC5ZOGBIzd7PNqMa1ktIhHm0cQhDaJKIXXk08+iV//+tfIzs5WqDjxA1v1bGvvQFaqAS6PF6dtTtg7PLxROJlV0mG9sgV9np6+fZigH25pYY4m0z4lCoz/G+NDyH7ObH+1YBXhRFMb9Ek65GeaeBVGRs3ZNLsMSTqdf7dDuik5ZDIH8Cvf1fUtvIq4Um1AqjqrJaSmyqqqaYJOp/PXA1cqFzmqhtB1x5bkItWgx+//+TWnWv1Ds/A2RJvTHfIZo9p5fD7enTVjS3LxzanzKC3MQUVZEVKSk6DX6fD58aaQYGs0bhBKI9VOKmUX2cdxjd0M8dzWc9IM/nFfyBa12Dtw58hCXv/tJZsOYA3P+JWoz04K8WjzCILQJpJ9srlYsWIFzp07p1RZ4o4sswH98tKRm2HCw5sOYMLzn4n67zCrpGI+T81twn64fL5tY1TwbeuKMP5vR07ZQp4zUweMilBd1+wPKjPlL1/ggX98jZMtDkGF0e7yIEnXGeBseGEO+uWlo9Xp5lW+p5cVhQTUO3LKhhW3DlHV/1+KOqs1gv2dGRj1trLqolvL9qON/nrgel6R+FkzMPVx3tnB2+fFyDAFroeyfQYnvbQD00b34fUjLy/Oxb76Ftyzbjd+/bc9cHR48FVdc8gEm8YNQg2k2Eml7CKbaPp/R5P8TBNW3DoE5cUWQVvU2u4WfJ7bBcavRH12UohHm0cQhDaJSMlO9EBnUpDrv8Oskor5PHEpV+zjgtM+Mak5CruZQ7bhEeHRMzsVz9w+DE1tLiz92SB4fT7ooIPVIZ4vnVFdhJTNYDVArvLNKK9i/v+RIKbOalXRCPavP+/s4EyVBQgrE3JVDfZ1g+ujvpY/pkVnVPNcbK8Jfc7lxRakplxcDw0ec9hjwazxxTCl6JGVGtgO2GXKTE0J8DlXus0QRDBidnLedSUAIreLbNj9YvGNA+ByexOmrRda0vDsHcNR19Q5pnDZour6FsGgh4Dw+NXW3oEVk4bA5fGG+M4nMvFq8wiC0B4RTbIJ+f47zCqpmM9Tpom7atjHMak52Hw8f5ykchPS8Pto42IO0emj+wAQzpf+2dFGtLW78aQE330Gqcq3UBmVhlE3pN6DlmD719/x5895fyekTISjavDVh9B1Kqtq8f595Xhk04GA7f/lxRY88rNBYK9nco05zFiwZmsNPp4/LqSdcJWJ8TknCLURs5MP3TgAgDJ2kQ3TL24d/iMM7Jklo8TaJz/ThJYLAc64bFFlVS3+PvPHgueQM351FeLZ5hEEoS0immQfOnQIPXv2VKoscYlcpUvI15dhbEkuctK4V1Oj4YdLhMJWYob1ykZZsUVcdXF0oG/3dMlKs1ZX0IXU2XggkueqZJ2YUpJ4++4Vhdn4qq4ZM8qKsPCG/mh1epBu0qPB1o4XP/oWT9w6xP9b8hkk4g2xNqtP0pFdlInV7sLeuhZeW2R3efDx4QaMKbZgexd6LkoQ7zaPIAhtEJFPdq9evaDXC+dhTHTkKl1Cvr7AxdXS/EwTp39nNPxwiVDYSgzjr5YlkC8duFj3jE8i43vNV0diPr2xrFup96BFInmuitaJD5w5uMuKLZhRXoScNCMqd9TiZ6t3YMpf/oufrd6BdTu/w+KbBvJGAeaCfAYJrSHWZvVJOrKLMmlsdeHx9w8J2qJXPjuOaRzxPBL5uShFPNs8giC0gWLbxb/++mtcfvnl8Hg84j9OIMJRuoJ9fT1eH+wuT4gfpdBqKq2yRhe2EsP4+q2eUsrrRxuuSqDkCjpfLlmlj4kHInmuYsdKfWbd0gxYvHE/ZpQVYdENA3DinB3G5CRU17dgzvpqmA36zpRHN/SHvd2DLHMKcsyGkNRdWt3xQBB8iLVZy4U+Q3ZROjZnh6gtsrs8+PuXdXjm9mERxWBQ2y4kqt0hCKJro6hPdlcMhBau/45Uvye+33V1v6loE6zE2F0e3LehGi9OKYUXvpCcrpGoBErULVcuWa7czpEeE09E8lz5jpXzzLLMBjx000A8+NY+TBvdB7Ne3+v/zmzQ48nJQ1EpkB+YfR7yGSTiCaltluyidBibJGaLHrtlMPIzTWHHYFDbLiS63SEIouui80mcGd92222C31utVnz66adxqWTbbDZkZWXBarUiMzM8S8SsxHaFFfSuiNXuwn0bqkOUGLNBjyUTB2JE7xzNRGC12l2Ys6GaN28yO+I9O9fy4+8d5PXdC46SHw2U6JdqwvWcmVy1o/taYEpJQpbZEKLKWO0utNg78PCmA/5j51xTjOq6Zl5fVK7nT2MOEQsi6ZfUZpUj2Cax82QDQGE3M/IyjBE9Xzm2JJxzt9g78PA7+zVld+IVrdvLRGfv3r244oorMGHxq+hWeJli5z1XdwRbnpiBPXv24PLLL1fsvER0kKxkv/fee5gwYQLy8/M5v4/HybWSdKUV9K4InxIzoncOxl/aXVNp06RGvGcrCGunjeB80Qk+hrhI8HNmctW+uqM2INJvsCrDjBWrWO1JLFI91/OnMYeIN6jNKkewTWIiqTO7A5SwSXKzp0iFnamD7A5BEImK5En2gAEDMHnyZNxzzz2c33/11Vd4//33FSsYQWiNeIk4KiX6dHDeWrFI6RSxOpTg58yXN53JBRysygTn8haCnj9BEMGobZPUyGTAtj1TRhYqfn6CIAitIHmSfcUVV2Dv3r28k2yj0YjCQuEBkyDinXhQYqREnw5WKMTy01LE6lCCn3NEanRDq+C16PkTBMGFmjZJjUwGbNtDdocgiERG8iT75ZdfFtwSPmDAANTW1ipSqESEomcS0UJK9OnjjW0Bn4vlp43HiNVq97ng5xzJbgCKGE50Ncgmah81xiW2Op6IdoeID+rq6tDYyO0KEQ6HDx9W7FxE4iB5km00GtUsR0JD0TOJaCIlkm+mKXB7cmVVLV6cUgoAikZKjxXR6HPBzzkSVYYihhNdCbKJ8YEa4xJbHU80u0PEB3V1dejffwAcDrvi5+5oF3b9IroWkibZbW1tSEtLk3xSub9PZIJ9Xxn4/DSVvC6pBF0XMV+9YIWCybdaUV6E2eOLYUrRh+SnjReU6HNS+w/7OXt9PowpyeWNxCumysSLzz9BREKsbCJzbbKL8lB6XGLbHrbdqSgrAqBMVHSCEKKxsREOhx2jKh5FZkEfRc55av/nOPDuK3C73Yqcj0gMJE2yi4uLcd9992H69Ono2bMn5298Ph8++ugjPPfccxg7diwWLVqkaEHjFbWicwpBKgEBCPvqcSkUdpcH++pbcNfIQk1FS5dLpH1Obv9hP+dVEao+8eDzTxCREAubCJBdjAQlx6VoREUnCClkFvRRLN2W7dR3ipyHSCwkTbI//fRTPPzww1i2bBmGDx+OESNGoGfPnjCZTGhubsahQ4fw+eefIyUlBYsWLcL/+3//T+1yxw1qROcUIpYqARFfJKpyGkmfi7T/JOozJQiliLZNBMguag0aJwmC6ApImmRfdtll+Mc//oHvv/8e//jHP/DZZ59h586dcDgcyM3NRWlpKf7yl7/gxhtvRFKSsF9iV0ON6JxCxEolIOKTRFROI+lzSvSfRHymBKEU0baJANlFLULjJEEQiY7kwGcAcMkll+C3v/0tfvvb36pVnoQj2lGDY6ESELGB/Au5iaTPxbr/UJ0SiU4sIunHul/HKzQeEQRBhI+sSTYhn2hHDY6FSkBEH/Iv5CeSPhfL/kN1SnQFYhFJn+yifGg8IgiCiAyaZEeBaPofUb7dxIf8C8UJt8/Fqv9QnRJdiWj75JJdlAeNRwRBEJFDDtRRIstsQL+8dAwvzEG/vHTVDBSjEowtyQ34nPJOJg5S/AuJ8PpcrPoP1SnR1YiWTWSuRXZROjQeEQRBRA4p2RojUh8oq90FZ4cHD08cCK/PB3u7J27zHRPckH+hukRTZWP6e1Ob8EsrV52SvyTRVVCirffMTsXTtw9Dc5sLNqcbmanJyDEbkJ9pUqnU8QvZGIIgiMihSbaGiNQHSuh4evlOHMi/UH2iEfmW3V/XThsh+NvgOiV/SaKroFRbpz4jHbIxBEEQkRPWdvHt27fj7rvvxlVXXYUffvgBAPC3v/0NVVVVihYOAH744QfcfffdsFgsMJvNGD58OPbs2eP/3ufzYenSpejZsydSU1Mxfvx4HDx4UPFyqI2YD5TVLqx0STneanfh+NlWfHvmPL45bcPeE+dw7Gyr6LnVxGp34VhDK6rrmmNelniB8S/kgvwL44Pg/lpd34KyYgvnb8eU5MLr8+FEUxuOnjmPvSfO4URTG4b1yobZoPf/TupYQciDxqjYEaldFDvP7hPN2FHTiO8aW3HopBW7vjuHo2fOK17H8daGyMYQBEFEjmwl+6233sIvfvEL3HXXXaiurkZ7ezsA4Pz581ixYgU+/PBDxQrX3NyMsrIyXH311fjXv/6FvLw8HDt2DNnZ2f7fPPXUU3juuefw2muv4dJLL8Xy5csxYcIEHDlyBBkZGYqVRW0izeMpdPzuE81otndg+QeHcOfIQry6oxY7apr838dqNZ+UhfCIRXReQlmC+2tlVS1enFIKAAF9s7zYghllffB9swN/rToe8F1ZsQUvTinF3A3VsLs8ACjnr9LQGBVblMpvzXUes0GPl6ZeDlNKEha/cyCgb425MJYqUcfx2IbIxhAEQUSO7En28uXL8fLLL+OXv/wl3njjDf/no0ePxmOPPaZo4VatWoVevXrh1Vdf9X/Wp08f///7fD688MILWLx4MW677TYAwLp165Cfn4/169dj5syZipZHTSL1gRI6vqK8CEve2Y9hhTkhE2wgNhFDKXppZEQ7Oi+hLMH91e7yYO6GalSUF6GirAiZqSnocHux83gT9v9gxZe150L6LfN3RXkR1myt8X9O/pLKQGNU7FHKN5jrPBXlRThldeCD/adC+tZ2heo4ntsQ2RiCIIjIkD3JPnLkCMaOHRvyeWZmJlpaWpQok593330XP/nJT3D77bdj27Zt+NGPfoRZs2bh3nvvBQDU1tbi9OnTuP766/3HGI1GjBs3Djt37uSdZLe3t/sVeACw2WyKljscIvWBEjq+tFc21mytwfSywJdxNlyqgNXeGZDJ7fXB6/PB6XIjJ80Il9uL1nZ3RMGWIlEoIgmCk0jBoqLhNxxNwumXTH22tncg22xQpG1GA67+and5/P3z3/ePwU9f3g4AWDttBJ7fcpTzPDtqmlBRVhTwWTz7SyrVP5U4j1IqarhoZayKpb1UyjeY6zylvbIBIGSCzfDZ0UZ/QEKbowOtLg/OX6gLqQHTxNoQc36mnrNSU5BmTEar0x3zegcSz8YkElp8jyUIIhDZk+yCggLU1NQEKMoAUFVVhb59+ypVLgDA8ePH8ac//Qnz58/HQw89hC+//BJz586F0WjEL3/5S5w+fRoAkJ+fH3Bcfn4+Tpw4wXvelStXYtmyZYqWNVIizeMpdDxDu9sreA62KnCyxYFHNh3wby+vrmvBi1NK8fTmbxXZah6uQhHJ1rt43LbXlZDbL5n63HOiGS9OKcVT/zmiCTcIKYj1d7vL7f9brN+yv49nf0mtBbiKZYRlLY1VsbSXSuW35jqPWL8yG/TQATjb6sKj7x4IceNYcesQFFrSBM8h1IbMBj18AOZsqMb2o40wG/R4cUqpZty5CG2jxfdYgiACkR34bObMmbj//vvxxRdfQKfT4eTJk3j99dfxwAMPYNasWYoWzuv14vLLL8eKFStQWlqKmTNn4t5778Wf/vSngN/pdLqAv30+X8hnbBYtWgSr1er/V19fr2i5wyHSPJ5Cx1+S02mcjcnC1c2oAswWt/4FmX6DX1FeJLjVXG4gl3Sj8PoOl0IRSRAcocA32749i6NnzsdNUJpERU6/ZNen0m0zGoj299SL/V2s3zLfR+IvGevATGoGuDIb9BjaKxvfNbbJCvYYqwjLSj0LpYilvVQqvzXXeYzJSYJ9q6K8CGfOO0Mm2ABQVdOEhzbuxxmbU/C6Qm2oorwISzcd8NezlHEs1v2U0A5afI8lCCIQ2Ur2ggULYLVacfXVV8PpdGLs2LEwGo144IEHMGfOHEULV1BQgIEDBwZ8NmDAALz11lsAgB49egAATp8+jYKCAv9vGhoaQtRtNkajEUajUdGyKkGkPlB8xwOdLyVMBGOu7XFsVYDZ4jZ9dB//9lVmyzkXcrdOnmxxYPeJZkllYRPJ9k2+wDeMcrDo7f0B1yflIPrI6Zfs+lSybUYTof5utbv8yptQvx1TkovCbmZ8PH9c2P6SWlBN1Qpwxe7j7DYi5f6UUlHlEutt6sHE2l4q5RscfJ4cswE7jzfx9q3RfS1IMybzbievqmlCc5tLcNu4KSUJ5cUWVPGcn90mhcYxJnjpEtakHCBb1ZWJdb8kCEIcWZNsj8eDqqoq/O53v8PixYtx6NAheL1eDBw4EOnp6YoXrqysDEeOHAn47Ntvv0Xv3r0BAEVFRejRowe2bNmC0tLOyLwulwvbtm3DqlWrFC9PNIjUB4rv+CcnD8Wjmw5gxgX/zeDtaGxVgNnixt5OJ2eruRBnbE4s/OfX2HNh+7lYWdhEsn2TfazZoEdFeRGuH5iPp//9jSYCwRHyYNen1LapFR9XNnz9lR3dly/yONNXCiJ4wdZKYKbgvs300dJe2Wh3e+Fye2C1i08ug88jpg4K3V+sIizHcpu6VlHKNzj4PIbkJBTldm75Do4ubkxOQqvTI3g+m9Md8Dd7jOmWZsDj7x3C9LIi+BCaNcAQpKJzjWNsW7Xknf3YTraKIAgibpA1ydbr9fjJT36Cw4cPo1u3bhgxYoRa5QIA/Pa3v8Xo0aOxYsUK3HHHHfjyyy/xyiuv4JVXXgHQuU183rx5WLFiBUpKSlBSUoIVK1bAbDZj6tSpqpYt3uiZnYpnbh+GpjYXlv5sEDxeH+wuD7JSQ1UBZosbeyud1K3mQpxsceC7xjb/iwI7mnK72wtjchKKu6fzThoi2b7JHMtWtkp7ZYe8tDBoWQElAtuCWNvMTE3RhForF7by1tbegRWThsDl8aKt3a1YpF+tqKbs+oxEfQ4eIyLd5RCLCMux2qbeFSnIToXZoMeKSUPQ5nL7bWJehhGNrS7YO9yCx2eaLr5CBY8xa6eNwEffNGDn8aYQO1dd34J0U+DrV/A4RraKIAgivpG9XXzIkCE4fvw4ioqKxH8cIVdeeSU2btyIRYsW4bHHHkNRURFeeOEF3HXXXf7fLFiwAA6HA7NmzUJzczNGjRqFzZs3x1WO7GghRQ2w2l1ITtJhTND2cr4tq2aDHksmDoTX50N1XTOvQsgoZlNGFvo/Y0dTZnhn1mj0BncwGfb2zWClK8ecEvLSwnXs0F7Z/kBuKWOFJ2ddUTGKF9htQcwNIs2YjAf+8bVqaq2aCrna0X21opqy6zMS9Tl4i7cSO3CC64Dxi1VrR0Q429S1uEsjXuDrY063F2db2wO2e7PtDgAkJen8ftHBi3hM2+OycwBwy7CemDAgD5cVZKK0Vza6pRkwpjgX22su+miv/+IESgtzkGYQflUjW0UQBKE9ZE+yn3jiCTzwwAN4/PHHccUVVyAtLXBClJmZqVjhAGDixImYOHEi7/c6nQ5Lly7F0qVLFb1uVyQ4WvP6L074t5dzbVk1G/SonH4lXtpaI+rTzPbzFkJIpWG2bz666QB+fiHquVSlizn2u8Y2/73ok/iD44mVhYgtcrZTtzrdqqm18aiQs9GKapplNmD5pMF4aOP+iNTn4C3eSuzAYRON+pa7TT3e26AWYbJr/PLHfbD05kFY+u5B7L3g4sRldxbfNCBkjBFre8lJOiyZOBCLNu7Hmq01fuXaBx+qapowojAHwy8sCjOTej7IVhEEQWgP2ZPsn/70pwCAm2++OSCCNxPR2+MR9mEiooccdYNRmvecaEZFeRGSdTrcd00JDMlJWHzjACTpdHB2eLBi0hB0eL3w+TpfEh7ZdEDUT8xqd+HchdV+RnWsrmvxKwJurw89s1Lh8flgdbhw7Gwrb1l7Zqdi+a1D8MCbX8lWunpmp+K01eFXykoLc2QHXyO0Q/B26icmDYbT7YXN4UZmarI/l211XXPIsWxFqqnNBQi0OS6sdhda7B14OE78JPnGglgF9+Iq32PvH8JwBVQ7drvw+nwYU5LLucgi9/6i6b/OtU093ZSMtnZ3wI4hAHhk0wEM65WN6aP7oN3thSlFj711zXh00wE8c/swzbRBLSFkG612Fx7ZdAD9CzLh9fngcLmxfNIQ+Hw+PLIpNNL4Z0cbMa3ZEXKN6voWXNO/Owb2zAqwc+1uD2zODuh0wOKNF89nd3n8LlSzxhd3+nR/cAg7aprIVhEEQcQhsifZn3zyiRrlIBRGrrrR2OryK9jBK/VlxRY8MWkI+hdkBpx7+ug+gn5iTW0utLk8/t8CnYr4S1MvhyklCWs+qfGrkE/++7Dk3KAtdlfY/mlZqQa/UlbNE3xtjMqBjQjlYLZ6CrX3YLU2Ep9fQHr714qfpNhYEIvgXsE0trrw0eEGfHS4QRHVjr0FeJVC9xdt/3X2PZxscYS4PIwtycVjtwzGXaN6469Vx0PG7BllRWhq00Yb1BJi/aGpzYU7g3ZKmQ16/GPmVbz9nStl6Btf1uH1X/0Yj71/kNPOVU6/0r81nIHZWr5maw3+df+Yi78V2a1DdUwQBKE9ZE+yx40bp0Y5CAURywk9oncOWtvdASv4NmcHry/kjpomLNl0AGsuGHnm3Gz/6mAfaVOKHkm6i78d1ivbvxL/9fct2P3dOeyoacKca4pl+V9a7S58z6EasGlr7xBU7r5ragMQqBywg9IUdjNHFLGZiC6M8sSn5i2/dUiAWhuJzy+7b7HbPxdS/CTV9qWVor7GIrhXMGzfcCEf+/Jii2DsBS6Uur9Y+a8L1eGSTQdww+AenGM2ACz92SBVyhSviOVRP211wGxMDhkfKsqLcFogJ7bP5wtJ1XXnyEI89v5BXjuXfMFdict27q1rRmv7xaBrXLaqj8WMH2Wn0gSbIAhCo8ieZANAS0sL1q5di8OHD0On02HgwIGoqKhAVlaW0uUjwiCcnNCZphRBX8jtF5Qa5v+Biz5nfMrg+l+N8v+WvRI/5EdZeOGjowDkR/9lysCH2aBHZqoBczZU8yoVl+RcnEBzBaX5eD4tJMUTXMoTcFHNs7e7A9TaSHx+2X0rUn/faPjSSlVf1Q6wJgZ7twGfaldWbMH0siK0sSYfUlHi/mLlvy5Uh0JxLnbUNMHj9alSpnhFSh719+4rC1m0ENtdkZyUFJKqiz3OcI05OWkpvLazrNiCiUMLAn4fbKs+nj+OJtgEQRAaRvgtkYPdu3ejX79+eP7553Hu3Dk0NjbiueeeQ79+/bB37141ykjIhEtxEVPvpKhD550dnIoTc+7quhbMuaYYa6eNwB/vuhxJrMBizEp8cKRUudF/bc4O/3W5WDJxIJa8c4BXubPaXeiRacLYklzO48m/Lf5we328OzBe3VHb6Qt5Qc38eP440cmQkCJpdVxc5BFqh2LtSExhZiIWR0os1Fcm+nZ1XTOOnW2VdC+MbzgQOFasnTYCa6eNwD9/fRVKC3Mwd0M1bI7YRFJmlzEYNccNsToUGkPtLoqRwkZKHvXmttDn3e72Cvb3ZL0uoM3+8a7LRe2c2+PDwzcN4B27qutayE4RBEHEMbIn2b/97W9x880347vvvsPbb7+NjRs3ora2FhMnTsS8efNUKCIhFy7FpbRXNuf2S6Dzxb6t3R2g8HKRYUoJUZxmlBXhqr4Wv39zdV0z7lm3G7Ne3xuiODEr8W2ui5/LVQMzTSn+6wa/8JQVW1BamB3i58a+T0a5e3Ly0JAXGPJvi0+8Xh9v22areVlmA/rlpcOSJly/QpNwM+vFma8dSmlHUhRmJYi2+nqyxYE5G6px7XPbcOsfd+LaZ7fhvg3VONki7OIR3CeZsaJyRy18AH5Z+SXWbK2B3eWJWSTlWI0bYnUoNIZmpVLUaTZcedSDxw43h/pvTE4StDvd0gz+Nuu3fyJ2zmrvwJBLsnjHrsffP4THbhlMdoogCCJOkb1dfPfu3fjLX/6C5OSLhyYnJ2PBggUYMWKEooUjwiM4YrDZoEeKXngya3N0oCg3DWNLcrH7QoRxto/YGZvTv3LOnJtRnF6++4oARYDxMeueYcSYYktIsJjq+ha//xqX/yVz/Oi+lpBo47npBozoncPpS91wvh12ka2kjHKnBT9UQhnsLuE6D1bzhCJqjynJRYpehzM2J1qd7hBf6aQknb+9BvtJAsCPslNRkGUSbUfRUpijGT080ujbPbNT8fTtw9Dc5kKLowNpxmQ02JxY+NY+fx3GWsFTctwQ88dnvveIREhvON/Oef5YPystEtwfXJ5QhXlvXbO/j7Nt2RWF2bx2x5ScFOKTzbZtXFk1sswpOGvjrjugc9yyOVxkpwiCUJy6ujo0NnIv9EdCbm4uCguF49V0JWRPsjMzM1FXV4f+/fsHfF5fX4+MjAzFCkaEDzvP6u4LEcOl5ITOMhuwavJQnDhnx+qtRwP8v8aU5GLcpd1DohHbXR50eLx+nzO2jxnjW+lFoG/lkVM2rLh1CB5+50CI/6WUyM/M9YO/f2ryUFhFJidsFSzWfqiEMmSlCtdhsJrHl4e4rNiCirIi1JxtxdqqwC2cTPtLSdL5c8czE+01W2v8/t+G5CRJbSpaCrPcnMuREGn0bS4f9bJiC56cPBRzN1RjRO8cTSh4SowbYv747O/9+ZN9voBJHFOHzP/HMjp8vBBsG7l2bzE2yZichKmjegfZslC7tGryUJxv78CSiYPw+PsH/XVUWVWLtdNGIEmnC8mqwdjKN2deJVjeNGMK2SmCIBSlcw43AA6HXfFzp6aa8c03h2mifQHZk+yf//znuOeee/DMM89g9OjR0Ol0qKqqwu9//3tMmTJFjTISYcAoLkwu32ECeTYnDMhDuikZxxpa4fX58NLWowGr+IyifaKpDfokXYiak2M2oOZsKwCEKNoHT1qx8KedCzIOl+dC7mIjssyGgBzHKyYN8asKj713UDDyM5+aBACffHuW8ol2McJRa5k21HC+HXXnOg1NdX0Lvv6+BbsuRL5nw7S/p28fhr9/WYfSwpwANau6vgVvfFmHJRMHwmoXT5sUTYU5Wrs2IlHn+VTwHTVNSNLp8K+5Y5BtTlFlsqFmhHeucwMQVPyfvn1YwPfB+ZNNKXpkpQbWIamd0mHbxp3HGkPshd3lwYNv7cPf7hmFFR8c8qvPyTodHrj+Mjx4QxLOOzrQPcOIvIxOW3b+dAde+OgIZpQVYeEN/dHq9CDdlIym8+2YNLwnFt84APokXYBts7s8aDjvDFHAGcKJpE8QBCFGY2MjHA47RlU8isyCPoqd13bqO3xRuQyNjY00yb6A7BH8mWeegU6nwy9/+Uu43Z3bNFNSUvCb3/wGTz75pOIFJMIny2zoVJdqmrCHJyf0dQPysGTiQH8O1rXTRmC7gKLM5JDuGZQ6xOnu3M7JpWg/v+VoyPFZZm5F6FhDq6Tcw3zHPv7+Id7IxI/dMphePBOQcNVapn/cs263/7O100b4I98H89nRRrQ63Vh2y+CQnRSMkn3DH7ZjRO8c0Qjh0VSYmeup3fYjUefFImi7vT5Vyq9mhHe+cy++aYCg4t/cFvos2PmTP54/Dv3y0gO+J7VTHkzff/yDwyH2wmzQY/WUUjS3ufx2kyv69xOThvifuQ/A5Ct6oTIoiBkzLuh0QJJOF2LbkqALiUrOHBduJH2CIAgpZBb0QbfCy2JdjIRG9iTbYDDgD3/4A1auXIljx47B5/OhuLgYZrNZjfIREcKoS1x5Ns0pevTtnobFG/f7jT8TBZXLxzpY0c7PNPmvw0Ts5jqezXYR/0y2GsaVP9TrCw1Kw6hFTW0u3vv0+Hywu9yormtWJR8xEVvY/rw2pxuZqckXdk2YBI8LVl+lRLvvl5fuV8F/aHagW7oBLrcXZ1vbsWbq5f783M/cPkzUBzkeFUihHPThqvNiKnhbe4fiinOkPuThnntas3AQOJuzA5XTr8TeumZUVtWGxBRQKx93V8Pm7AiwF/eW90WWOQUZpmQse/cgpozqjYryIqz/4kTAzhUmj/XyDw7h2Qt9XAfwRgkHgEcnDoLN2RFq0wx6VLy2y2+v3F4fCrJM/vGkvcMjaWcMQRAEoT1kT7KtVis8Hg+6deuGIUOG+D8/d+4ckpOTkZmZqWgBichgq0vsPJuM0vx9syNgdZ2JgsqlSPMp2sBFZe67xraA47kQ8s9kyiv1umy1aO20Ebz3GfwCpHQ+YiK2hKtIBquvUqPdZ5kNaGpzwe3zYdW/v+FUr5raxF+O402BFHvO4arzQiq42aBHZqoBczZUK6o4R+pDHu65xTjvdOOedbtRVmzBi1NKMXdDdcBEO1bR1RMNps3ZXR5UVtVi+JRsPLP5CCrKirC9pgnTy4owojAHw3tlcyrZ7D7u9YE3SviOmiZ4fT5kpaaE2LTK6Vf67RVjq4LHE7JVBEEQ8YnsFF533nkn3njjjZDP33zzTdx5552KFIpQDr7crozS3BKUc5aJgipFkX500wGcsTn9OXGdHR70yU3DGJaizQefGpNuSsaYktwQJZ3Jvz1lZCFONLXhjM0ZohZx5TEVyw+uVD5iInYIqYYL39qHb8+c583XHNw/5OS+FsvP7eFIBRTPSMntzc5H/s6s0fh4/jisnlKKAp4JApNT2+pwYcO9ozDnmmKYDfqA3yyZOBBL3jmgeE7xcH3IpeQBFzp3dX0LxvDkPy4rtqC6vgXAxXZUUV7k/57iSigHu++z7QRju6rrW9At3RDQxxlbVFFWBB06o5Nb7S5JGQ7SjMkhNq1Xt1SUXxhvyFYRBEEkFrIn2V988QWuvvrqkM/Hjx+PL774QpFCEcrBl9t1dN/OYC/Byh2TC5SJyMyXX9ts0OPnIwvxwJtf+XPiXvPsNjy66QCemDQY2SL5WbnUmJMtDizeuB/TRvfBVX0vplAJzr895S9f4IF/fI3TNmfAizdXHlOx/OBK5SMmYoeYP2/9OTtvvubg/sG0ofJi8dzXUvNzJwpSc3sz+ciHF+agX146rxrMzql9258+x5S/fIGv6jqzITAT7bElubi8MBvba5TPKR6OD7nUPOBC566sqsXjHPmPGXW0sqrW/9mOmiaU9soGQBHDlYbd99l2grGJlVW1SNYnBUyw2bbonnW78dMXtuO+DdVIMwpvCsxKTUGr0x1i034458D0CzaLbBVBEERiIXu7eHt7uz/gGZuOjg44HMK+ZkRs4PL9tDo6DXZwnmrGR231lFKMKb6oSAf7kvXKMWPVvw+HREXdcawJX9Sew6iiboK5XYPVGLZKtvNYE16++woAwr7hLfZQtYgdzby9wwsIZy4j/8Y4x2p34ZyIwsO0YT5f2+D+kZmagmfvGI5Wp1vQV1pufm4tI8XfWcnc3lyquNmgx/DCHJhT9FhXMRIZpk6/+tNWYbsSbh+W60Mux4db6Nwjeucgx5zib3NNbS60trvh8/mg1+nwzO3D/H6/lVW1yDClYOvvxiHNmIxWJ8WVUBKm73/b0Or/jG0Tm1rb/Xbn+oH5eDpoKzfQWf831LWItqVjHBk47v5xbyx55wBWTR4q6gZAtoogCCK+kD3JvvLKK/HKK69g9erVAZ+//PLLuOKKKxQrGKEswb6fxy68VATnqQY6JwcbvqzDE7cOxvfNDk7/6LXTRoRMsNm/e/Tdg515RX2+EP8yLjWGrZIxubcBYd9wxgc7+NpMNHOzQY9/iOQhJf/G+IXxD54+uo/g79i7Nfh8bbl8o/NFwkvIzc+tVaT6syuZ2ztYFeeLwTC2JBeP3TIYZoOed9Ei3D4sN8K7HB9uqefOMhugO9sKm7MjZKsw45Odm26AKUXvzwDBPhf56kZOltmAbqy6ZttErxf+dlnaK5s388Wzm4/gn78ejYff2R9gF8uLLVg+qTOrhdnQ+brFtmmF3TrjGFTuqMU95X0Fy0m2iiAIIr6QPcl+4okncN111+Hrr7/GtddeCwD4+OOPsWvXLmzevFnxAhKRISUScHA07uzUFPTLS0d+pgnGFD2WTBwYoianGS42Hb6VfvZ5AaCwm9mfVzSYYJVs/w9WjBHxDWcrDlzfV5QX4evvWyhvdgLCVhWH9crmrWO2jyuDUoqQGrmu1czZzHc9JdRZqffLzgTAjqAt5I/6yKYDWDJxIBa9vT/s6/IhJcI7X5nFon5LjR7P9tVls6OmCToAT/3PMNWioHdVgvtZuinZ37bZEcd75piw8sPDKC3MCbB5wdw5shDL3z+I4YU5mHHBjhqTk1Bd34LH3z+EZ24fhqQkXUi8k/NOt7/uKy64qVDObIIgiMRA9qhdVlaGzz//HE8//TTefPNNpKamYujQoVi7di1KSkrUKCMRJnIiATPqEaO0MKmP8jNNuLwwG4ve3h+gNjF+gsGfsVf62VG+AeDj+eN4XwbZKpnZoMewS7IxqqgbGLdWrmjlbMWB6/vSXtm4b0M15c1OQNiqItduDOCij+vcDdUBxyqlCGWZDVg+aTAe2sivXslBzZzNfKihzvLBdX+MWpuk0wlmI1h804CQCb5SPspCEd6Fyiwl6reU6PGMry4XVTVNsDk7VIuC3hXhqtMJA/KwfNJgPPzOAf9Ee83WGowptmDqqN4BNo+LywtzsGZrDT765izn942tLqQk6fDIxEFobG0H0Gmf7C6vv+71OsqZTRAEkUiEtTQ6fPhwvP7660qXhVAQKQoVo7S02Dtg73BDp9MBPuCU1QF7h8evojEvkmy1qbQwpzNYS2GO/7O7RvUWLBOj9LBVhKzUFKQZk5GcpPP7cFeUF+GvVcdRXdcS4hvOhlEcZo7ri0yOrbkuj5czbzajMNgcLgBpYT5hIpawdz5w1XHvbmactjmx8K19ARMhJXcvWO0uPPb+IUH1SurkR82czULI9bMON7c33/0xk4mZY/uJlMONp28fhrZ2N2wOYcW5tb0D2ebO3OWt7e6wdwSIlbmivChgcTLcdiVWBzaH8OSq2e6iXMoS4avTLYcbYExOwpOTh8Lm6EBruxuWNAPa3V68uPVQgM3jWhAxJieF5sC+4Ff/xpd18Hh9MKQk4fEPDuGuUb05bZrD7cHv3vya01bN3VCN9b8apeqzIQiCIJRF8iTb6/XC6/UiOfniIWfOnMHLL7+MtrY23HzzzSgvL1elkIR8pCpUbS4PHv/gEO4cWcibS5pRmdlqMaMepqbo/Z+J5RjOTE0JUBHYKnh1XYvfh5t9HUaJTk3R8553UM8sdAS9sJgNelyS06n+BSvqDLcO/5FgeQntEuwfHFzHa6eNwKs7avHk5KF+xVHp6MyNrS58dLgBHx1u4P1e6rXUzNksRDh+1uHk9ha6vx01TXjwhv6Cx1sdHXjxH1/jyclD0bd7esj3zLiy50RndPKn/nMk4lzDYmVm3GAibVdidZApsk3Y6ujAfRuqyT9bAnx1ajboMenyS7Dwn19jzwVb9PxH3+LBG/r72xHfjpmxJbmwpBs4Ywpc0787Xv/Vj/H4+wcxo7wvtn5zFv89fs5v09iBRS/JSeW1VQD5ZBMEQcQbklN43XPPPZg1a5b/7/Pnz+PKK6/ESy+9hP/85z+4+uqr8eGHH6pSSEI+QuqI2aCH1+fDicY2LPzn1+hfkCmYn5PxV2OvvDPqITtNkViO4TRjcoCKwFbGmfMF+74xnzs7PBhTzJ/ve+fxpoBrV5QXYf/3Vsk5j4n4gi//O3DRD7uqpgnrdn6HTbPLRPM1h4OS0baVPJcchJ6jkn1E7P6SdUmc/Ru4WJ98+YLZ6qSSuYbFypxhSlGkXYnVQU6aeFunXMrS4KpTs0GP1VNKsW5HLbYHxfdobgvdMVNamIO100bgj3ddjg/nlmP1lFIYk5M4293Anll47P2D2F7TBGeHJ+A8zg4PzAY9yostZK8IgiASEMlK9o4dO7BmzRr/3//7v/8Lt9uNo0ePIisrCwsXLsTTTz+NG2+8UZWCEvLgU0cY9fix9w5ielkRttc0YXpZkaA/ZFu7G09OHorvGtsCvmNHAQeEV/pXTR6KVqc7QEUI9qNmVvGDfd/sLo9f0fYiMFr56L4WrNla41fCmWuTP3Ziw+cfHOyHvf1oI5J0OvTLC1U/I0XJaNtKnksOkfpZS0Xs/s7YnJhW1iekfwfXJ5eqz1YnuWIzMMjdESBWZkuaQZF2JVYH+ZkmSW2d/LPFCa5Txh6aUvT+eCLsNuQOynXPF2fklM3JuY2cfS72Ti/Gpv3j1z/G9LIipKboce//7iZ7RRAEJ4cPH9bkuQhhJE+yf/jhh4DAZh9//DEmT56MrKwsAMC0adPw6quvKl9CIiz4IgGzV+mnXPCh5vJ3ZmNzdKBv93ToWX7TDOwI38G+sUBgRPG9J84FnJfvusG5u4GLq/9LJg7E0p8NQlu7OyDfd/C1zYZk8sdOcBj/4B9aHPiuyR7gv8j2w1ZbBVYiurgakcqlEq6ftRQYP2mPzxcydjCUFVuwmxVlfOFP++P7ZgdvfVodgfXJVifFxjI5bSGadSJWB7Fu64lCcJ0y9pAdT4TdhvbWNUvKTmHnCUrGPlewXbO7PKg758Dv3vwaL999BdkrgiBCcFibAOhw9913K37ujnba+aQ2kifZJpMJDofD//d///tfPP300wHft7a2Kls6Imz41BFG+QUurqyL+VIzKlp+pgmrgs5ZWVWLyulXIkmnw3ZWVFZGhWG2UZ5sccDZEfgCzHddRhFnzskwoncOxl/aPWBrJpPvGwhUGZgc2uSPndhkmQ1obHVh1ut7eX8TDypwtBRloesrfQ2u+As+ny8gEjtbjWXvZBGqT7MhMD4DW52UOpZJIdp1IlYHsWzriUJwnTJKM7MoDAS2IbHdWf7I+6nc9SZ2LoM+KWBHGNkrgiDYdNjPA/Bh+NSF6F4kHLtEKqf2f44D774Ct5syFqiN5En2sGHD8Le//Q0rV67E9u3bcebMGVxzzTX+748dO4aePXuqUkgiPLjUEUb5BS6urHMpxwzBig2f4rJGQIVhfCaD8xnzXdfu8uDvX9bhmduHodXpFlTXGGVi94nmgMiueRkmjCm2+LcAMpFfRxTmoFu6AR0eL/aeONeZM1zlXMSEuiSKCqymohxtgqM4s1W6WeOLYUxJQnuHFzuPN4WosQ3n2wP6LnCx/17V14Lz7W4cO9vq77fs+pczlkkh0jpRMu+51e6C1+fD2mkjoNPpQvJ1k9+uNNh12tTWaQ/Z7UbO7iyGdFMyZ47r6voW/+dc5+rXPQ0TBuQBAMYU52JPXaAdSzMkw5iSBK/Ph+q65ojbEEEQ8Ul6XiG6FV6myLlsp75T5DyEOJIn2UuWLMGNN96IN998E6dOncL06dNRUFDg/37jxo0oKytTpZBE+ASrI2zll1lZX//FCcy4YPSFVuv5zsn+nAvGZ5KJ/Mtch7m+Dgh4ORlbkovHbhmM/EwT8jPF72/V5KE4cc6O1VuP+lUAs0GPyulXAjqd/7rrvziB4b2yserf30QceZjQDomkAquhKMcCrijOjEq3ZmsNtv5uHEwpery87VhIirXRfS3IzzTCi85xgp2FgK3ysfstU/9SlUc5hFsnSuY9F8vXPaJ3TlTaeqLgr9ML9pDdboLbEN/uLDZt7W7OHNeHTlqxZOIgLP/gEO9OryUTB2Lpewc7F6BS+mHNJ519hGn3r2w9RvaKIAgiDpE8yb766quxZ88ebNmyBT169MDtt98e8P3w4cMxcuRIxQtIRM4ZmxPNbS7YnG50Tzf4fSPZK+vJOh0W/rS/f/taVqq4YiOm0jDfM2oBl89Zsk6H5ZMGw+Pt9CfMvJA3u9XpRnVdsz+PdqvTzXkdq90Fl8eLl7YeDVGvvqhtwqIb+sOUrMej7x7AMFZObzZq5yIm1EeK4qikqigHoety5Yzna+tqlUENxCJzN7a60D3d4M9LbHO6kZmajExTChwdbiRBhwd/OgDtbg+S9To8G5SSCwjst+z6b2vvwIpJQ+DyeP2xG6K9I0DJvOdC+bqTdDr8a+4YZJtTaOySAWMTAfjtIds2ub0+LL5xAJKTkmB3XWxDQOdCdXA/sjo6eP2p7/rrf7Hh3h8jSadDW3sHslIN6PB6cb7dDWdjKx555wC21zThit45+O+xpoA87GSviHihrq4OjY3cKQ8jITc3F4WFhYqflyCigeRJNgAMHDgQAwcO5Pzu//2//6dIgQhlqWtqw6KN+/2G2mzQ+/2VhXyoxRBTadjfM9cDuH3OPp4/zh+l92SLAw/84+uQPNpcqpQPwMK39mH66D4hW0uZ457fchRrp42QFEWdIvPGN0KKo5Kqohz4rstuv2JtPdIyxuLexSJz29vdOObsCLnf8mILprN8tMuKLXjwhv4B/ZsNu99qaReAknnPhc61/Wgj3F6fZu47HmDbxOBYAYx94LKHQv0o05QimOOayXBwssWBRzYdwJ0jC7H+ixP47YRLsf1COcZe2h1P/+db/zFKRsonCDWpq6tD//4D4HDYFT93aqoZ33xzmCbaRFwia5JNxBdnbM6ACTbQOcm9Z91uLPvZQDx28yA4Ojxoc3mQnZoSElCIDzGV5unbhwV8v/8Ha4iPJQPbj/CMzYmF//za/zv2Sj7jk8n4qrXYXVjx4TfYXtOIKSMDB99gBYCJ8Kpk5GFCG0hRaKWoigAUV3qFrvvpt2fx4b5T2F4TmjOer4zhlEdJRVUOQn7yZcUWeHw+zvutqmmCD53PY83WGuyoaUKDrV3wWlrst0rkPQ/eCRTJuYhOgm2i3eXBg2/tw6rJQ7HohgFoc7mRmZqCHLMB+Zkm/3Fi/ejJyUM5fbKBzoWjdFNy5zn+uQ/DCrPx6o5alBbm+Nt2RXlRSDsne0XEC42NjXA47BhV8SgyC/oodl7bqe/wReUyNDY20iSbiEtokp3ANLe5OAMAAUBOuhGPbDoQMPGVqm6JqTTNbRe/Nxv0GHZJNkYVdfP7WDKMYflJnmxx4LvGtoDyMCv5XD6Znep05zWCIwoHKwByo6gT8YFUhVasvZ62ObH8g8OKK71C183LMPrbL6CeaqWkoioHsTzmOp2Od2zaUdMUEO1ZDC3220jznvPtBArnXMRFgm2i2aDHk5OHolJkB4lYP2pt78CSiYPw+PsHAyba5cUWPPKzQXC0u9Fi92J7TSOml/XBmq01uKe8L3y+zjzcpb2yQ85L9oqINzIL+igWnIsgEgHhUVxjrFy5EjqdDvPmzfN/5vP5sHTpUvTs2ROpqakYP348Dh48GLtCagibkzs8P6OaBSvLzKq81S6snIipNOzrVpQX4a9Vx3HPut0oLczB2mkj8Me7LsfaaSNw45ACmA16v0rQEpT/llnJ51L5uPKPcn3H/j74d2woMm98IaYssduwWHv9vtkh6TxyEbpucBtVS7VSQlENF8ZP+uP54/DmzB9j7bQRKC3MwdwN1XB2eASPDe7fY0pyOX+n1X7LKPlciJU5uG3TuKUcwTZRbAcJ0//F+pHXC6z692EMD7Jxwwtz8OS/DgO6znEGuNi2k5N0/rptd3tD6pnqnSAIIr6JGyV7165deOWVVzB06NCAz5966ik899xzeO2113DppZdi+fLlmDBhAo4cOYKMjAzVyhOrIEpyyDRxV2+kqpmYSsO+LvtaXNcc2acbgE7fwhlB6hWzks9VXqH8o8EKAF8UdWYL+ui+FhiTk9B4YVtmJPUYD+0iEZCj0Iq1Vz7CVXqZNuD2+lA5/cqQVEtAqEqllmqVaUoJcbUwpej9ZWLOq1a7ZfykO055ccef/+v/XOx+g/v3h3PH4JFNB2ISPT4cIol4H9y21YiYHk20NCYG20SptlBsDPEB2PrNWWz95izn97//ycVFI6Zt56Sl+Os2NUUfUs+VVbV4aerlmDikAHmZJn/fPWNz4upLu4s+Qy09d4IgiK5IXEyyW1tbcdddd+Evf/kLli9f7v/c5/PhhRdewOLFi3HbbbcBANatW4f8/HysX78eM2fOVKU8sQqiJJecNAOnn1ikqplYXuKctIvfS7mWD53b9nLTA8vLXuUPRiiXafcMoz9iLBAY1TzdoMejEwfBBx+Sk5Kw9N0DvGmB5BIv7SIRkKPQCrXXMSW5qK5vkXQeKYilWmIm2g3n2wPaqNL5nRly0w2onH5lQHo7pkyV069EbrohKu02KUkXcH9C98vsOmEY0TsHOeaUuMshHm6O7eC2HTy+ZZhSYEkzaP7+Ae2NicE2UaotFLN5dhf3rrGL53FfiE2S62/7bo8PpYXZmLuhGqunlOKKC7s82BHOf5STisqq4yFuXeMu7S54Pa09d4IgiK6I7O3iOTk56NatW8g/i8WCH/3oRxg3bhxeffVVRQs5e/Zs3HTTTbjuuusCPq+trcXp06dx/fXX+z8zGo0YN24cdu7cqWgZrHYXjjW04tsz5zuDc6mwvVRp8jNNWHHrEJQHbTnLSo3MX5BRaYK3QzLKSn6myf+9FIUu05SCivIivPDRt5heVuTfIldZVYsZZUWc5WW+Y37LRHZdt/M75KUbsSqofHaXB/vqW9DbkoZLe2SgR6YJS987GPaW+WDkbF+ONUxbrq5rxrGzrZoqm1TElCXTBTcEQLi9Pn7LYFRW1fKeR46CLJRq6dUdtagoL/Jfd2xxLuZcXRzS1oP7qhJq5UsXAogFl+mlT2rgdHtDymw26DG0Vza+a2zD3hPnFGkjyUm6gP7Kd7/lF3y2mTph33+W2YB+eekYXpiDfnnpmp9gAgirzFxtmxnf7lm3G5Y0g+bv32p34URjm+ZsZbBNlLqDRMzmZacK10WmKRk6HTDr6n44dNKKGWVFcHZ4MKOsCKWF2bhvQzWmlfVBaWG2v573/2DFsjBslJZtUSLYHoIgCKnIVrIfeeQRPPHEE7jhhhswcuRI+Hw+7Nq1C//+978xe/Zs1NbW4je/+Q3cbjfuvffeiAv4xhtvYO/evdi1a1fId6dPnwYA5OfnB3yen5+PEydO8J6zvb0d7e0XI3nabDbBMgQHoZGSTkYrFFrS8Owdw/15sjNNychMTRFclZeimompNMz3LfaOAMWO71qj+1qwZmsN/nv8XEge7QxTcsg5GHVnycSBWPqzQZz5cIXKp3RAqFgFmJKLlhUOOf1SLHr1+/tOYV99i/+++Nor0KmURtIXGITawI6aJiy+cQBuHf4j5KYb0NTmwozXdoW09RllRago74tMUzJyzJGrlY2troAAa2y2BwUpBMAZZBCIvI1Y0gxY+eFhlBbmhNzv7KuLYUzWIys1BemmZLS1u7H+V6PiQq1WAzHVNNq+uOHay+DUimxiOSaybSIASfYJELZ5VrtLdHfXlb274Z51u1FRXoRknQ6WdCPW/vsbf59we31Y+NP+cLm9sDk70DMrNSy3Lq3aIi3bnnhEbr8kCCL6yJ5kV1VVYfny5fj1r38d8Pmf//xnbN68GW+99RaGDh2KF198MeJJdn19Pe6//35s3rwZJpOJ93c6nS7gb5/PF/IZm5UrV2LZsmWSyhC8KhyPaTXyM00B6UgAhO0vyEYsLy3z/SoJ1zJcUBS4co2aDXq8d185lr17MOAcI3rnYPyl3XlzewuVT+mAULEMMCWVWKVzkoqcfikWvZrZms2+L772oERfAMTbgMvtxcCeWQCA441tgnl135k12p87PhLkBCkE1EsllmU2YNktg/HgW/tCJu/B+Yi7OpH4c6tBuPYyOLViMLEcE9k2UYp9YuAbQ8TqLD/ThPpz9oA+L7SgtWryUJy2OQXvge/5adEWad32xCNy+iVBELFB9iT7P//5D1atWhXy+bXXXovf/e53AIAbb7wRDz74YMSF27NnDxoaGnDFFVf4P/N4PPjss8+wZs0aHDlyBECnol1QUOD/TUNDQ4i6zWbRokWYP3++/2+bzYZevXpx/jZ4VThR0mqE6y+o1rVyBK5rd3mgg7AyLZdIU+yofT410KrCwSCnXwIX29UpqxPHG9tgTE5CdX1LgO+zlPtSqi/IaQPRai9yghQC6qUSA6I75sQ7WnpW4drLeLGVSj1rsfME27hgX/usC/m5mWPYgRK54Ht+WrRFWrc98Yhce0kQRPSRPcnu1q0b3nvvPfz2t78N+Py9995Dt26dkaLb2toUiex97bXXYv/+/QGfzZgxA/3798fChQvRt29f9OjRA1u2bEFpaWdUTpfLhW3btnEuBDAYjUYYjUZJZQheFVYrQFEsEFOio3ktsS2SljR+JTIclN6SqbUtnlxoUeFgI6dfMmSZDTje2IZZr+/l/Y2U+1KibclpA9FqL3KCFALq79SJ5pgT72jlWYVrL+PJVir1rIXOw9UXGWV7bEluiJob7hihRVukddsTj4RjLwmCiC6yA58tWbIEv//973HzzTdj+fLleOKJJ3DLLbdgwYIFePTRRwEAW7Zswbhx4yIuXEZGBgYPHhzwLy0tDRaLBYMHD/bnzF6xYgU2btyIAwcOYPr06TCbzZg6dWrE1wdCV4WDA24xxEs6Fa0iFlhG6eeq9PWiXf5w0KLCoQRauS85bSBa7UVOkEIgftRHQpuw+yLZykDk9vlwxwgt2iKtjNEEQRDRRLaSfe+992LgwIFYs2YN3n77bfh8PvTv3x/btm3D6NGjAcC/bTwaLFiwAA6HA7NmzUJzczNGjRqFzZs3K5YjO3hVmL3Fa/b4YphSOgP2aGHbY7znxYz2Fkmlrxd8vszUFKQZk9HqdKO6rjnmdaJFhUMJtHRfctpUtNq71CCFja0ueH0+yYGglOCMzXkxKGNqZ7C34PgRRPzA7ovB26EBoLCbGXkZxpiNgbG2kXL7fLhjBHNcU5sLHq8PHq8Pdpcb9g4PrPbob83W0hhNEAQRLcLKk11WVoaysjKlyyKJTz/9NOBvnU6HpUuXYunSpapcjyugCZMO6q6RhZoJ2JMokTujvUVS6euxz3eyxYEH/vG1ZupEawGVlEJr9yWnTUWrvUsNUgjICwQVCXVNbVi0cX/AduLyYgtW3DoEhZY0xa5DRI/gvsjeDh3rAHdasZFy+3y4Y0SW2YA2l0cz96ylMbqrU1dXh8ZGbh/5cDh8+LBi5yIILpRuswCQm5uLwkLhAJ2REtYk2+v1oqamBg0NDfB6A334xo4dq0jBtESkihN79TyLpW4qtZp+xubszEeqcETgrooSakek0VTVUly0FFBJSRL1voRQSwUWe5ZKtM0zNmfIBBsAqmqa8NDG/Xj2juGqKtqxVjS1UgY1kNoXue4fgCrPJBFtpFj7CbZBZoMeFeVFKO2VjcOnbGhrd0d1V0FXHKO1SF1dHfr3HwCHw674uTvaKe85oTxqtdnUVDO++eawqhNt2ZPs//73v5g6dSpOnDgBn88X8J1Op4PHIxwRM14JdzWZvXrOTtnBfrmMZGX5ZIsD3zW2aTIfaTyilNoRSTRVtRUXrQRUUppEvS8u1FaB+Z6lUm2zuc3FGRAL6JxoN7e5VJtka0HR1EIZ1ESsLwbfv9mgR+X0K/HS1pqAvO5KPJNEtJFS2g/bBgmlC4tmm+tKY7RWaWxshMNhx6iKR5FZ0EeRc57a/zkOvPsK3G63+I8JQiZqtFnbqe/wReUyNDY2amuS/etf/xojRozABx98gIKCAsF81F2d4JVkpXPQMufXcj7SeEJIfX500wEsv3WI5B0I4UZTpXyi2kRLqmOsVGAl22Zwfm6534eLFvqXFsoQS7juv6K8CKu3HlU8P3si2kj282Or0+1uL040tUGfpEN+pinABin97kHEP5kFfdCt8DJFzmU79Z0i5yEIIZRss9FC9iT76NGj+Oc//4ni4mI1ypNQBKuZSuegZc4/fXQfwd9R5E5p8KnPZoMePx9ZiAfe/CpADRFSAcKNpkr5RLWH1lTHWKnASrbN4Pzccr8PFy30Ly2UIZZw3b9a+dkT0UYy98SnTo+54OfMtkFqPV+CIAiCH9lvMqNGjUJNTQ1NsiUQrGYqnYOWOX885SPVMnzqczgqQLjRVCmfqLbQouoYKxVYybaZk2ZAebEFVRxjVnmxBTlp6jxTLfQvLZQhlnDdv1r52RPRRjL3xGeXtl8Ym56+fZjfBqn1fAmCIIJROhBePAfWkz3Jvu+++/C73/0Op0+fxpAhQ5CSErgCPHToUMUKF+8Eq5lK56Blzl9ZVYsXp5QCQIDBHUORO2XBpz6HowKEG02V8olqCy2qjrFSgZVsm/mZJqy4dQge2rg/YKLN+JWr5Y+thf6lhTLEEq77Vys/eyLaSOaexOxSW7vbb4PUer4EQRAMDmsTAB3uvvtuVc4fj4H1ZL+NTZ48GQBQUVHh/0yn08Hn8yV04LNwCFYzhVbTJwzIQ7opGccaWiX7fbLPz85H2u72Ijs1Bf3y0innrAz41OdwVYBwoqmqkU9US/7E8YYWVUepKrDS9S61bUq9bqElDc/eMfxihHRTMnLS1M2TrYV8vVooQyzhun+lbSPXtRLFRjL3JGaXbI4O9O2ejtVTStFi78CYklzOBUM12xzZHoLoOnTYzwPwYfjUhehe1F+x88ZzYD3Zk+za2lo1ypGQBKuZzGq6Dgh4QZ4wIA9LJg6UnVM5+PzMqjajlsbby0Os4VOfs1PDV57CyYmqZD5RrfkTxxtaVB2lqMBq1LuUtin3uvmZpqiOU1rI16uFMsQSrvuvrKpF5fQrkaTTBbSdcG0j37USwUYy9/RdY5vg75ixibFBq6Lc5sj2EETXJD2vUNEAZfEcWE/2JLt3795qlCNhCVYzM1NT8Owdw9HqdPvVzXRTsv8lQihaqJTzU+7JyOB6numm5KgqT0rVqRb9ieMNraqOQipwOPUuVXESapvx0t60MGZqoQyxhO/+13CMveHaRrFrxfOz7pmdCn2STpY6Hc3nEC9jAUEQhJpImmS/++67uOGGG5CSkoJ3331X8Lc333yzIgVLJLjUzPzMi/9/rKFVUrRQIUWbDJZycD3PaCtPStSpFv2J4w0tq458KrDceperOPG1zXhqb1oYM7VQhljCd//szyK1jWLXimfyM02y1eloPYd4GgsIgiDUQtIke9KkSTh9+jTy8vIwadIk3t+RT3Z4SI0WSqu/sSMe1RAt+hPHI/FW93LqXdnc19TeCGUh2yiMVscmGgsIgiAkTrK9Xi/n/xPKIDVaKK3+xpZ4U0O06E8cr8RT3cupd2VzX1N7I5SFbKM4WhybaCwgCIIIwyebCB8+v0ep0UJp9VddEi0Sqlb9ibVIItW9nHpXUnGKdntLpDrr6pBtlE48tHuyPQRBEBIn2S+++KLkE86dOzfswiQyYn6PcqKFEsqTiJFQtexPrCUSre7l1LuSilM021ui1VlXhmyjdOKl3ZPtIQiCkDjJfv755wP+Pnv2LOx2O7KzswEALS0tMJvNyMvLo0k2B1L8HsOJFip0Pa2vdGuJRI6EqoTPXiK3p0Ste6n1rrTi1DM7FU/fPuxi1PPUZOSYpee+ltLWErXOuiJkG6UTb+1eq/7iUonntkIQhDaQNMlm58Zev349/vjHP2Lt2rW47LLOPGhHjhzBvffei5kzZ6pTyjhHqt9jONFCg4mXlW4tkeiRUCPx2Uv09pTIdS+l3rWUl13qsYlcZ10Nso3Sicd2r0V/cSnEe1shCEIbyPbJXrJkCf75z3/6J9gAcNlll+H555/H//zP/+Cuu+5StICJgBy/x0hWf+NtpVsrxGMk1GissneF9hSPdc9HuG1CC3nZ5RybSHXW1SHbKJ1YtPuuqOYmQlshCEIbyJ5knzp1Ch0doYO5x+PBmTNnFClUoiHX7zHc1d94XOnWAvEWCTVaq+xdoT3FW93zEWmbiHVedjnHJkqdEWQb5RDtdt9V1dxEaCsEQWiDJLkHXHvttbj33nuxe/du+Hw+AMDu3bsxc+ZMXHfddYoXMBFg/B65iCTSptXuwrGGVlTXNePY2VZYHS7B35PCw41a9aMkTF1/e+Y8Fv7za95VdqtduA3IoSsohvFQ92KIKS9KtgkhImkvwceaDXrMuaYYa6eNwB/vuhwut8d/H4lQZ0Qn0ahLq92FcyJ9IB7Gsmi1e6vdhRONbVGzM1qjK9g9giCig+xJdmVlJX70ox9h5MiRMJlMMBqNGDVqFAoKCvDXv/5VjTLGPYzfY7CBjCTS5skWB+ZsqMa1z23DrX/ciWuf3QZnh3CaE1J4uFGjfpSEXdf15+zYXtPE+TtmlV0puoJiqPW6l4IU5SUaRNJe2MeaDXq8OKUU1XXNuGfdbsx6fS9ueLEK922oxskWR0LUGdGJ2nXJjJ02h/DEKB7Gsmi0e+Z51ZxtjZqd0Rpdwe4RBBEdZG8X7969Oz788EN8++23+Oabb+Dz+TBgwABceumlapQvYVAy0iafcrXzeBPKiy2o4jCOpPAIo9VIqMF1Hc18sV0l16lW614qYjtYrCITDKWIpL2wj60oL8KrO2qxI2gcC444Hc91RlxErbpkj53DemWjrNgS0qaA+BrL1Gz37Oc1ZWSh4G8TWc3tKnaPIAj1kT3JZrj00ktpYi0TpSJt8ilXlVW1eHFKKXQ6XYgfFSk84mgxEmpwXRuThTefKLnK3pVynWqx7qViNggP42aDPirliKS9sI8t7ZWNNVtrOH/H9omM5zojAlGjLtljJ2MbAQRMtONxLFOr3bOfVzTtjNboSnaPIAh1kT3J9ng8eO211/Dxxx+joaEBXm+gsrZ161bFCkdww+czZHd5MHdDNTbNLkOSTkcKTwIQXNfV9S2KKTJSIseSYqh9kpJ0vG2irNgCfZIuamWJpL0wx37b0Cr4OykqWleMikwEwh47GdtYUV6EirIitLu96GMx40fZqdQuLsB+XkraGT603EfJ7hEEoQSyJ9n3338/XnvtNdx0000YPHgwdLrovcARnQj5DNldHiTpdOiXlx7FEhFqEVzXSikyciLHkmKobZKTdJhRVgQgsE2UFVswo6woqpNsILL2kmU2oJvIsWIqWleNikwEEjx22l2egB0SH88fR+MaC/bzUlv5j4c+SnaPIIhIkT3JfuONN/Dmm2/ixhtvVKM8hATIZ6jrEFzXbEVm9vhimFL0yEqVt8rO5dNvNugxtFc2vmtsw2lrZ3ApLSkLBL/yY0kzYOWHh1FamONX6YzJSaiub8Hfv6zDM7cPi3XRZRHJ+EY5bgkGspPyYD+vYOUfAAq7mZGXYVTUVx7otD0V5UUo7ZWNw6dsaGt3K3IdInE4fPiwps9HEHzInmQbDAYUFxerURZCIuQz1HXgqmu7y4N99S24a2QhCsJY9Q/282aiOb+6ozZA6dGastCVEVN+lt0yGA++tS+k/uJxPIhkfKMctwQD2Ul5BD8vRvlnnlc4toYLdh8l20MI4bA2AdDh7rvvVuX8He2JGyWf0AayJ9m/+93v8EEKKKcAAEIqSURBVIc//AFr1qyhreIxhHyGug5K13Wwn7eUaM7UrmKHFHU20caDcO+HctwSbBKtX6hNNJ4Xu4+S7SGE6LCfB+DD8KkL0b2ov2LnPbX/cxx49xW43W7FzkkQXMieZFdVVeGTTz7Bv/71LwwaNAgpKYF+T2+//bZihSOEIZ+h+CHSIC9K1nWwr6LUaM5EbJCqzibaeBDO/VCOWyKYROsX4SDH/qj9vNh9lGwPIYX0vEJ0K7xMsfPZTn2n2LkIQgjZk+zs7GzceuutapSFIBISrQV5CfZVjGbubUI+pM5Kh/xwCSIQLdsfsj0EQSQysifZr776qhrlIIiERIuBmIJ977pyTtR4IN0oPEyniXzflSA/XIK4iNbtD9kegiASGeERjge3242PPvoIf/7zn3H+/HkAwMmTJ9HaKpzfVC4rV67ElVdeiYyMDOTl5WHSpEk4cuRIwG98Ph+WLl2Knj17IjU1FePHj8fBgwcVLQdBhIuUrb6xgPG9+3j+OBR2M2NMSS7n70j9iz0GfRLKii2c35UVW2DQhzWMJyzstv3OrNH4eP44rJ5SqljgJoKIF7Ruf4q7p5PtIQgiYZEtgZw4cQI//elPUVdXh/b2dkyYMAEZGRl46qmn4HQ68fLLLytWuG3btmH27Nm48sor4Xa7sXjxYlx//fU4dOgQ0tLSAABPPfUUnnvuObz22mu49NJLsXz5ckyYMAFHjhxBRkaGYmUhiHDg2urLTlnS1OYCzrZK9tGO1LebDdv3bhWpf5qlxeESzINtdbgApKl2fbE2p2SbVArywyWITvvDtjftbi9MKXrsrWtGZVWt4HZstfs100fJ9hAEkajInmTff//9GDFiBL7++mtYLBfVlVtvvRW/+tWvFC3cv//974C/X331VeTl5WHPnj0YO3YsfD4fXnjhBSxevBi33XYbAGDdunXIz8/H+vXrMXPmTEXLQxByCQ7EFEnKEjV96ygKr3ZJN6Zgyl++8OesZefBnruhGu/NKVft2mJtTmv+ngRBXCQrNYXT3pQVW/DilFJkpnJvx45mvybbQxBEoiJ7n2FVVRUefvhhGAyBA2Dv3r3xww8/KFYwLqxWKwCgW7duAIDa2lqcPn0a119/vf83RqMR48aNw86dO1UtC0FIgQnywiCWssRq596+J+Zbx3ecHLLMBvTLS8fwwhz0y0unlxyNkJtuwIjeOViztQb3rNuNWa/vxT3rdmPN1hqM6J2j2pZKsTZ3xuZUvU0SBBE+acZkTnuzo6YJr+2o5YznEA1bEwzZHoIgEhHZk2yv1wuPxxPy+ffff6/q9myfz4f58+ejvLwcgwcPBgCcPn0aAJCfnx/w2/z8fP93XLS3t8NmswX8Iwg1YIK8MBPt0l7ZIS88DEI+clr1rVMS6pfcBLchBrW3VIq1uea2xG+TBPXLeKbV6ea1N1U1TWh1huYJ7gq2JhGgfkkQ2kf2dvEJEybghRdewCuvvAIA0Ol0aG1txaOPPoobb7xR8QIyzJkzB/v27UNVVVXIdzqdLuBvn88X8hmblStXYtmyZYqXkSC4YG+Ha2oTfkHh85HTQhontX30qF/yP+NYbKkUa3M2jhd0NpR+JzGgfhm/hGM3tGBrEgU1bSb1S4LQPrIn2c8//zyuvvpqDBw4EE6nE1OnTsXRo0eRm5uLDRs2qFFG3HfffXj33Xfx2Wef4ZJLLvF/3qNHDwCdinZBQYH/84aGhhB1m82iRYswf/58/982mw29evVSoeQE0Yk/EFODcAR+vpQlwb7dUo9Timj46HX1fin2jKMdzEuszWWahM0Hpd9JDLp6v4xnwrEbsbY1iYLaNpP6JUFoH9nbxXv27ImvvvoKDzzwAGbOnInS0lI8+eSTqK6uRl5enqKF8/l8mDNnDt5++21s3boVRUVFAd8XFRWhR48e2LJli/8zl8uFbdu2YfTo0bznNRqNyMzMDPgXT1jtLhxraEV1XTOOnW0l38c4It2UHFbKkmDfbqnHSUGsPUXLRy/e+2UkxMIPUqw8Xp8Pa6eNQOX0KzHnmmKYDXr/92NKcmFMSaL0O12AeOqXZBsDCcduqGlr+Ei0eovGeB5P/ZIguiqylWwASE1NRUVFBSoqKpQuTwCzZ8/G+vXrsWnTJmRkZPj9rLOyspCamgqdTod58+ZhxYoVKCkpQUlJCVasWAGz2YypU6eqWrZYQdF845eTLQ48sukApo3uA6/PF+ArJ+Zfy/jlKp3qREp7kuKjR4FqIkNLz5irTTDRiOduqMblhdmYNroPbn/5czw5eSh8Ph+qZLRlglADso2hZJkNWD5pMB7auD+gj5YXW7B80mDOPqqWreEjEetNS+M5QRCxI6xJ9pEjR7B69WocPnwYOp0O/fv3x5w5c9C/f39FC/enP/0JADB+/PiAz1999VVMnz4dALBgwQI4HA7MmjULzc3NGDVqFDZv3pyQObLFVkdXTymlgVujsOtu57EmVJQX4d7yvsgyp8CgT4LT7YG9wwOrnd/4Ku2XK9SeHt10AMtvHYJWpztsP3JCOlrxg+RrEztqmpAEHf7566vw4YHTmLuhGnaXB3M3VKOivAizxhfDlKJHVqpwmzxjc6K5zQWb043M1GTkmA3IzzRF49aIBIZsIzdWuwur/v0NZpQVYeEN/dHq9CDDlIwzNiee+vc3eOLWIZzPJVoxIGJRb2rHFgG0M54TBBFbZE+y//nPf2LKlCkYMWIErrrqKgDAf//7XwwZMgTr16/H7bffrljhfD6f6G90Oh2WLl2KpUuXKnZdrUKro/ELu+7sLg8qq2oxfEo2ntl8JETRFlrBV9Ivl689mQ16/HxkIR548ytsr2nC2mkjBM9DPnqRoxU/SKExZntNI6ZbnQH5du0uD9ZsrcGarTX4eP449MtL5z13XVMbFm3cH9Dey4stWHHrEBRa0pS7CaLLQbaRm6Y2F269/BJUBqXxKiu2YEZZEZra+J9LNGJARLveoqWaa2U8JwgitsieZC9YsACLFi3CY489FvD5o48+ioULFyo6yY5X1FoppdXR+CW47sTyZUe6gs/VBgEEfGZ1cCvUwWWrrm9BWbGFMxUM+d4qA+MH+RnHC2c0n7HYGNPu9vJ+xzX+MO3Q4/Xi8fcPhbShqpomPLRxP569Y7hmFG1S29VHaRtJtpEbt9fHmycbAJb+bJCk80RaX3zHR7Peoqmaa2U8JwgitsieZJ8+fRq//OUvQz6/++678fTTTytSqHhGzZVSWh2NX4LrrrRXdoAiyCbSFfzgNmg26FE5/Uq8tLUG22sutsv1vxrFeXxw2SqravHilFIAkOVHTkgn2n6QfIiNMcZk/liZweMPux2unTYC2wXy9Ta3uTQxkSW1XX3UsJFkG7nxen28ebJ3/P/27jwuqurvA/hngGFmWGVRNgFRTMwFENzAhSwXStPqZ2b9TMoslzSzxcoK27SfpvXLpB59XPLJn5ZPZrZZmEsiT6kIhUjkjjuJKJswLN/nD5rb3NkHZpjt+369fBX33pk599x77rnnfu8550Q5mpqNvy3Y1uNl6PPtedzaM2puL9dzxphtmd3ITktLw/79+xEbGytanpOTg6FDh1osYY7oSmUdFvzvr1o3k8aelJr6lFg1MrWuioKfjto3zSfbhiKCQOuf4Ks/rffydMejQ2Iw6tYQLNv5u9Z5mXuqHENig0QD4uhKm3rf20dTY+ArlyLI29Pq8zS7GlvMha3JUARmaGwQrlTW6fyc5vVHM2pk7HxXzbltqQhna77nSmWdVgPby9MdCVEBOFdxE39W16ODl6dV+nDq0h59R9ubtepIrht1q1Uansu+VtlkcL2p0V99x8fY55dNjG+3iG97v+1gD9dzxphtmd3Ivvvuu7FgwQLk5eVh0KBBAFr6ZG/duhWvvfYaduzYIdrWVVy8fhNnrtbojdboe1Jq6lPitoxMzWxP88m2oYgg0Pon+Kqn9V6e7nh/ciLWHziNxMgOOs9LVYRaIpGIzr8OCu3fVvW9BWC07y1rvfaeC1vX7+uKwKTGBuGRITGQQKL1YEbX9UczamTsfPeTe1gswtna76moUWo1sFVlSP3NjvYY+dgZR1y2Vh3JdaN+/grD++2v41qvzlj0t7xGiRplk97jc1PZZPDzNfWN7RbxtcXbDra+njPGbMvsRvasWbMAAFlZWcjKytK5DmgZkKypyfBTUmehelo7eUCUsEwVRUyM7ID6xmbIpe5o1hjIzZynxJojUz+aGoP6xmZ0UEjRrZOPXbxqyQxTf7LdTGSRyIt6BMFfIcX1v/pZq/erfmhgtM7PqiLUX85OhZtEIjxt95F7cH8yJ2BOJFTzPFo2MR7VdY2oqmuAt8wDnu5uuHFTCR+5FMvvTxDW6YvOaEaNDPXrHxIbBD+F1Oz+kvrGHWhtv0tVNF3F2uMm6OOMI2Wr15G66sYjpRVYl3NaK5poSiSU60b92to3WN+4HSpNzWTw+My7o7vBz1febEDXjj7tEvHlftKMsfZmdiO7udnwa3+uSPW0NyOlCwD9EZChfz2dNXf+Yc2RqTX78v44fzhC/KywY8zi1J9s/6uNT/DVIzyqc04hdQcg7ldtKIpYq2yCm0SiFZnm/mSOzZxIqKFtxefF332SjV1vNKNG+vr1q/o71zcYjnhpRjj1pfn18b2Rd7bC5O8Rp1lcHVpz3ARDnHGkbNU+TUuN0Vk3quZh99OIrBrLi4oarhsNaUvf4IvXbxrt5tHUTAaPz0t39jT4eVX0uD0ivtxPmjHW3lo1TzYTU0VtVNGaxKgAnRGQ/RqRCFP7CPHIqY7HlChiW/psaUZ4VFG3xKgApMYGiW6OWjM6OPcnE3Ok/rHmREKtFTXVjBqp9+ufnRYLqYcbfGUeCPBuGbk7v1R3w1hF/RpnKM2vfHkUjw6J0ds4NnStDPD2FL0Kb61xE4xxxuu9ap+aSP9o1xIAy+9P0Pk5/d9ruM+xI+aVpXl7uuON8b1Ro2xErbIJ/gopOvnKDJZrVRnLSOmic9wOoOUBWY2RPt/ubhK7ih5zvcYYa08mN7J/+eUXXLt2Denp6cKyjRs3IjMzEzU1NZgwYQJWrlwJmUxmlYTaM1XURhWtUUjdTYqAmNpHiEdOdSzmRBFb+wRfM8Kjirrll14XRbSB1o8Ozv3JWjha/1hzIqHWiprqihrVKpvw27nreGhAFMI08s2ca5zBubzV3igy9j2aQvzkWHxPH7z0RSFyTpRbbdwEY5zxeq/aJ4lEone065wT5aiuaxRFno3lhebbB5ocMa8sydC1y99L/+fU3zzISI0BAVrzbGekxsBbZjj/3d0kdhc95nqNMdZeTG5kL1q0CGlpaUIju7CwENOmTUNGRgZ69uyJZcuWITw8HIsWLbJWWu2WetRm7uZ8fPTPJIPbq56um9pHiPsS2UZropft1Z9SM8KjirqpIoYrJydiaGww9p+4qjU6OABEBXoZjWYwx+wfa04k1JpRU3OiRuZc44ylWR9TrpVRQd5Yfn8CKmpa+qLaYsRqZ7zeq/aprsHwOC2a55uxvAjwdr68MpWx+qkt1y5VGattaMKzW38V9XWXebgh/9x1YTwPQ/kf9FeaOHrMGHNFhh/VqykoKMDtt98u/L1lyxYMHDgQa9aswfz58/H+++/js88+s0oi7Z0qajOsezBqlU1oaDL8mqF6PyTV59RpPuU1dTtmORev38STm/Nx+4p9uCcrF7cv34c5m/Nx8fpNg58zJTJoCZoRHvWoW62yCXM252NqahekxgYJyz7YfQIf557BrWF+6B7iy+eNCdrreFqSOZFQa0dN/b080a2TDxKiAtCtk4/BtyZMvcYZS3PnAEWbrpUhfnLEhfkhLswPb03ojSF/lSGVIbFBeHNCb6uVH2e83qv2SdfMBeo0zzdjeRHiJ3e6vDKFKfVTW65dqjIm83AT6o5pHx/GrE1HMO3jw/hg9wnUKpuESLUp9zCmXAcYY8yZmBzJrqioQEhIiPD3vn37MGbMGOHv/v3749y5c5ZNnQNp7cjRpkZ7uC9R+zG3T6t6NMHYaKyW6iOoHuHx8mx5NVwVuQa0+8DKpe7wVzj3OWONftOO1D9Wtf83biqxefpAHDhZjnU5p0Vz4Wpef+wpamrqNc5YmkP95Ba5Vt6oVeL1r48hISoAj2hE8d74+hjemRhvtbLkjNf78A4KuLtJzH47wFheOGNeGaKvfjp8tgL7/vgTydEBqK5vRGMz6fmGFoauXcE+nhjZsxMAcb2ijiPVjDFmmMmN7JCQEJw+fRqRkZFQKpU4cuQIXnvtNWF9VVUVpFLX7v/U2pGjTe0jxH2J2oep/VR19Xf7z2MDDX63pfoIqiI8mV8exaQBUdj0y1lMTe2CZvw9T6yhPrDOxlr9ph2lf6yu/R/y14jNczfno1bZpPP6Y28j7ppyjTM1zW1N+9VqJXYVl2FXcZne9dbMH2e83of4yVs1q4KxvHDGvNJHV/2kPqPJi9sKAQBrpyYb/B5D1y5/L0+8MvZWLPqqSKteAXSXNVfJf8YYM5XJjewxY8bghRdewL/+9S9s374dXl5eGDp0qLD+t99+Q7du3aySSEfkak/XnYl69FLffOf6ogm5p8r1jsZq6chgeAcF3rynD579rAD7T5Tj51PXXHKeWGv2m7anSK8++vY/50Q5JBKJMA+6vutPe16rLPW2QXuk2ZHeYnAkXDe2TWVdg1a9FBnghX/tLBY1hFszq4TKjVolFm4/iv3Hr7psvcIYY21lciP7zTffxL333ovhw4fDx8cHH3/8MTw9/75Ir1u3DqNGjbJKIh0VP911TKropaH5zl++q6fOaLdqJG+JRKIVVbVGZLC6rhH71SLXrjhPrDXnFba3SK8uxkbb1jUPuqb2uFZZ+m0Da6fZUd5icERcN7aev0KqVS+tnZqs9WC3tbNKAOJriqvWK4wx1lYmN7I7duyI/fv348aNG/Dx8YG7u7to/datW+HjY/hGjjFHoIpe9o3soHe+8/MVugdAU/WFVkUPrR2psUa0zZHmhAasH3G0ZeTNlGPhCBFXRxyl3RHeYmCux1vmoVUv6ZrTXX1cjoV39oSysdnka5cjXFPUOVqdxRhzDSY3slX8/f11Lg8MDGxzYhizB6ro5ZmrNXrnOzekVtlkUvTQEiwdbXO0OaGB9ok42iLyZuqxcISIqzXfNrAWR3iLgbme6rpGrQe/+uZ0V0Wh70mIwK3huu/ddHGEa4qKI9ZZjDHXYPIUXoy5kvAOCsiluouHMJq3xrQlKu0Z5VJF2yyRDmPRxhu19jddFWDZPLAX5hwLW+//jVolTpZVI7+0Aif/rNZ5njhaZExF9RbDj/OHY/usFPw4fzhWTk50+oEEmf3SLEvqs0vo0pprgK2vKaZy1DqLMeYauJHNmB7+Cu0bCVU/7U2/nMXUlL/noVZp7yiXJefUdcQ5oQHnnFfYnGNhy/03dT55R4qMaeI5fpk9US9Lovoo1XL1kaNcUx21zmKMuQazXxd3daq+P9X1Dejg5QllYzOq6xu5H5AT0tUn89EhMUJ/OHsZddVSfYYdNdoI6M4DH7kHauobkV9a4XDl05Rjod4P0V8hxbKJ8aiua2y3fuPm9LPm/s2uR/P89JZ5oLqukfvNtpF6WbJmfeQIo8A7cp3FGHN+3Mg2g6rvT97ZCrw/ORFLvy/RGrWT+wE5D119MhMjOwj9tO1p1FVL9Bl25GgjIM6Di9dv4tmtvzpsPz1jx0Lh6Y4nN+fr3L/2GAsAMK+fNfdvdi3q/WTVZ2ng+rLt1MuStesjex8F3tHrLMaYc+NGtonUozZPjojVOeq0uSPl8oiY9k/zaX5DM2ltoz5naXmNEviz2mLHsj3PEUePNqry6sZNJeobCRkpXTAtNQa1DU2QS91xpLQCmV8exTsT4+2+nBk7FkdKr9t8pG5HiLabgq/DlqX5hoN6tFWdofOVj4lhqnrpj7Jq0XLN+bOVjU24Uat7UEFnyGNHr7MYY86NG9kmUo/aqD891mTqSLk8IqbjUH+aX3K5UrRO31zaljiW7X2OOHK0UVdeDYkNQkZqDJ7d+itqlU1IjQ3CI6kxKK+xv5GsNRk6Fq+P740739+v83PtOVK3I0TbjeHrsOVpvuFgbn3Jx8Q0/l6eCFTLN3PqImfJY0eusxhjzo8b2SZSj9rompNSnbF+QKb2ZbxRq0R5jRKNzYRmItTWN8Lfy9Mhnzg7gxu1ShwpvY7U2CAhKtOaKI2pv2WLeYUdoR+eJn15lXOiHISWY/TB7hPCMVo0rpcNUmk+fcfiTHkNapVNej/XXv0Q7S3abm5krrVlzBkigNak+YaDOfWlOXUj9/cGfOQeGBIbhJwT5SbXRY44Z70hjlhnMcZcAzeyTaQetdE3J6WKsX5AxvoyltcoUaNswqtfHsUDA6K4L5uduFqtxBtfH8P7kxMBAAdOlFvkrQZ9v2WreYXtvR+eJkN5deBEOR5NjRH93aTjlX97petY+BgZMbe9+iHaU7S9NZG51pQxZ4kAWpPmGw7m1Jem1o3c37tFTX0jMlJjQDD9jQFHnLPeGEersxhjroGn8DKR+ryR+eeua02VoWJKPyBjfRmbmgkLPv8NcWF+Bp9M8xyQ7auyrgG1yibM3ZyPxKgArJ2aDC9Pw8+pWhtV5FFTTWcsrzQjaYaiwI7Anuaw1TeP9I2bynaLtrd2rlxzyxjPyWsazfPTnPrS1LrR1P7ezn5MbtxsEOojbxPrIq5bGGOsfXAk20TqUZt1OaeFaGZ+6XVhoBEAiAzwMvpdxvoyNjUT9h+/ioyULlaJkrLWUR039VFc105NNviZ1kYVedRU0xnLK81Imr/CsfPO3voh2jra3trInLllzBIRQFd41Vzz/FTVl3IPN/QM9xcG5QrwkiIq0Eu0/6bWjSrWepPIUfjJpUJ9pLoH0Ud1PnPdwhhj7YMb2WZQ7/tTU9+AJRP6oAmEV7cfNWvQK2N9GWuVjQDa3vebWZau46aK0mhGUoC2RRV51FTTGcqr1Ngg5J+7LvztLHln7/0Q2/P8bW1kztw0tjUC6Eqvmmuen/4KKTLv7o2F234zWFeaWjequHodqZ5fptZFXLcwxlj74NfFzeTv5YlunXzQNzIA/l5SvPplEfab+aqa6km/5iufQiRK0VLJtbXvN7MsXcdtXc5pzBnRHUP1HctWNnqMniN20piyB/ryashfo4mvyzkNwPnyTnUtSogKQLdOPna1X+15/rY2MmduGtsSAXTFV83Vz89Ab08s/KLQaF1pat2o4up1pHp+rcs5jUdSY7Rezdc8n7luYYyx9sGR7DZoy+uDhiJRN2qVGNY92GpRUtZ6+o7bB1aIKtp7tNKe6MorH7kHauob8Z/HBnLe2UB7nb9ticyZk8a2/I4zDjZlDnP235S6UXUMuI7UfsNu8YQ+UDY1o6a+Ue/5zHULY4xZHzey26Ctrw/qGxFT9aQ588ujeOSvkZE1R07lJ862Y+i4tZah6drsZU5he+fsI8y2ZooqW/f/bY9j0tY+6qamsS2/4+qDTZm7/8bqRs3+3hK0TNmn4mp1pLFz+EplHSpqlKisa4SfwgMBXp4I8ZO7TP4wxpgtOE0jOysrC8uWLcOlS5fQq1cvvPfeexg6dKhVf9OaA4iEd1DgnYnxKK9RYtG4XmhqJtQqm+Cv4CfOzubi9Zs8XRszyNz+vK7U/xdov8hca3/H1QebsuT+ax4DP4UUy+9PQHVdI0dldSgtr8GLXxSK6pUhsUFYfE8fRAV52zBljDHm3JyiT/ann36KefPmYeHChcjPz8fQoUORnp6O0tJSq/6utafS8ffyRNeOPuge4ou4MD/0i7a/vpesbVR9NXm6NqaPuf15XbH/L9B+fdRb8zv2NO2aLVh6/9WPQdeOPgjxk9vt+AS2dKWyTquBDbRE/V/6ohBXKutslDLGGHN+TtHIXrFiBaZNm4bHHnsMPXv2xHvvvYfIyEh8+OGHVv1dHkCEtZWqr2JiZAed/QqBv/ssMtdkSn/WtmzPrM/V6wpX339bqahR6q1Xck6Uo6KGrwWMMWYtDv+6uFKpRF5eHl544QXR8lGjRiE3N9fqv88DiLC2UPVVdPWpaJh+5vZndfX+v/bK1esKV99/W6isa2zTesYYY63n8I3sq1evoqmpCSEhIaLlISEhuHz5ss7P1NfXo76+Xvi7srKyTWlw9gGXmPWo+iq6+lQ0gOXLpbMwtz+rq/f/tWeOWFdYslw64v47Mj+54Vs8Y+uZ/eL6kjH75xSviwOARCIR/U1EWstUlixZAn9/f+FfZGRkeySRMS2qvoqqqWh0cYU+mwCXS33M7c/q6v1/mWVxuXRcAd6eGKKnXhkSG4QAb74WOCoul4zZP4dvZAcHB8Pd3V0ral1WVqYV3VZ58cUXcePGDeHfuXPn2iOpjGlR9VUsuVSJR1JjtBrartRnkculbub2Z+X+r8ySuFw6rhA/ORbf00eroa0aXTzET26jlLG24nLJmP1z+HeFPD09kZSUhOzsbNxzzz3C8uzsbIwfP17nZ2QyGWQyWXslkTGDeLq2Flwu9TO3Pyv3f2WWwuXSsUUFeWP5/Ql/z5Mt90CAtyc3sB0cl0vG7J/DN7IBYP78+ZgyZQqSk5MxePBgrF69GqWlpZgxY4atk8aYSbivIjPG3HOEzynGGNAS0eZGNWOMtS+naGRPmjQJ5eXleP3113Hp0iX07t0b3377LaKjo22dNMYYY4wxxhhjLsQpGtkAMGvWLMyaNcvWyWCMMcYYY4wx5sIcfuAzxhhjjDHGGGPMXjhNJLstiAgAzzPImDX4+vrqnU7PEC6XjFkPl0vG7I+1y2V1dTUA4Mb5U2hubDI/gbq+s+xCy29fPmPRwdgc6Xs5rY71vVWXz7Z8d3W1SXVZa8ulhFQl04WdP3+e5xhkzEpu3LgBPz8/sz/H5ZIx6+FyyZj94XLJmP1pbbnkRjaA5uZmXLx40eCTisrKSkRGRuLcuXOtymhbc/T0A7wP9sLcfWjtE0BTyqUxzpDf7YXzynTOkFe2LJeOzhmOvy1x/ulnrXLpDHnuDPsA8H7YE1P3obXlkl8XB+Dm5obOnTubtK2fn5/DnkyA46cf4H2wF9beB3PKpTHOkN/thfPKdK6YV5Ysl47OFY+/JXH+WY6p5dIZ8twZ9gHg/bAn1toHHviMMcYYY4wxxhizEG5kM8YYY4wxxhhjFsKNbBPJZDJkZmZadMS89uTo6Qd4H+yFI+2DI6XV1jivTMd55dr4+LcN51/7c4Y8d4Z9AHg/7Im194EHPmOMMcYYY4wxxiyEI9mMMcYYY4wxxpiFcCObMcYYY4wxxhizEG5kM8YYY4wxxhhjFsKNbMYYY4wxxhhjzEK4kW2CrKwsxMTEQC6XIykpCfv377d1kvRatGgRJBKJ6F9oaKiwnoiwaNEihIeHQ6FQIC0tDUVFRTZMMfDTTz9h3LhxCA8Ph0Qiwfbt20XrTUlzfX095syZg+DgYHh7e+Puu+/G+fPn7SL9GRkZWsdk0KBBdpN+AFiyZAn69+8PX19fdOrUCRMmTEBJSYloG3s9DpZKuytasmQJJBIJ5s2bJyzjvPrbhQsX8M9//hNBQUHw8vJCQkIC8vLyhPWcV87NEetTW3H0etyZOdI9LGBanW7KfZUtOcu1o0uXLlr7IZFIMHv2bAD2eRzs6VrEjWwjPv30U8ybNw8LFy5Efn4+hg4divT0dJSWlto6aXr16tULly5dEv4VFhYK65YuXYoVK1bggw8+wKFDhxAaGoqRI0eiqqrKZumtqalBfHw8PvjgA53rTUnzvHnz8MUXX2DLli3IyclBdXU1xo4di6amJpunHwDGjBkjOibffvutaL0t0w8A+/btw+zZs/Hzzz8jOzsbjY2NGDVqFGpqaoRt7PU4WCrtrubQoUNYvXo1+vbtK1rOedWioqICqampkEql+O6773Ds2DEsX74cHTp0ELbhvHJ+jlaf2oqj1+POyhHvYU2p0wHj91W25gzXjkOHDon2ITs7GwAwceJEYRt7Ow52dS0iZtCAAQNoxowZomVxcXH0wgsv2ChFhmVmZlJ8fLzOdc3NzRQaGkpvv/22sKyuro78/f3po48+aqcUGgaAvvjiC+FvU9J8/fp1kkqltGXLFmGbCxcukJubG+3cubPd0k6knX4ioqlTp9L48eP1fsae0q9SVlZGAGjfvn1E5FjHoTVpdzVVVVXUvXt3ys7OpuHDh9NTTz1FRJxX6hYsWEBDhgzRu57zyvk5en1qK45ejzsTR7uH1UWzTicyfl9la8567XjqqaeoW7du1NzcTET2fxxsfS3iSLYBSqUSeXl5GDVqlGj5qFGjkJuba6NUGXf8+HGEh4cjJiYGDzzwAE6dOgUAOH36NC5fvizaH5lMhuHDh9vt/piS5ry8PDQ0NIi2CQ8PR+/eve1mv/bu3YtOnTrhlltuwfTp01FWViass8f037hxAwAQGBgIwLGOQ2vS7mpmz56Nu+66C3fccYdoOefV33bs2IHk5GRMnDgRnTp1QmJiItasWSOs57xyDc5Un9qKI9UfzsRR72E1adbpKobuq+yBs107lEolPvnkEzz66KOQSCTCcns/Dura+1rEjWwDrl69iqamJoSEhIiWh4SE4PLlyzZKlWEDBw7Exo0b8f3332PNmjW4fPkyUlJSUF5eLqTZkfbHlDRfvnwZnp6eCAgI0LuNLaWnp2PTpk3YvXs3li9fjkOHDmHEiBGor68HYH/pJyLMnz8fQ4YMQe/evYU0qtKkL432sB+tTbsr2bJlC44cOYIlS5ZoreO8+tupU6fw4Ycfonv37vj+++8xY8YMzJ07Fxs3bgTAeeUKnK0+tRVHqT+cjSPew2rSVacDxu+rbM0Zrx3bt2/H9evXkZGRISyz9+Ogqb2vRR5tSKvLUH9iA7QUes1l9iI9PV34/z59+mDw4MHo1q0bPv74Y2EwAkfaH5XWpNle9mvSpEnC//fu3RvJycmIjo7GN998g3vvvVfv52yV/ieffBK//fYbcnJytNbZ+3GwdNqdzblz5/DUU0/hhx9+gFwu17sd5xXQ3NyM5ORkLF68GACQmJiIoqIifPjhh3j44YeF7TivnJez1qe2Yu/1h7Ny5HNUX53e2vuq9uKM1461a9ciPT0d4eHhwjJ7Pw76tNe1iCPZBgQHB8Pd3V3ryUVZWZnWUxB75e3tjT59+uD48ePCyIaOtD+mpDk0NBRKpRIVFRV6t7EnYWFhiI6OxvHjxwHYV/rnzJmDHTt2YM+ePejcubOw3BGOQ1vS7iry8vJQVlaGpKQkeHh4wMPDA/v27cP7778PDw8PIT84r1rK6a233ipa1rNnT2HAID6vXI+j16e24gj1hzNy9HtYfXW6Lpr3VfbG0a8dZ8+exa5du/DYY48Z3M7ej0N7X4u4kW2Ap6cnkpKShNH0VLKzs5GSkmKjVJmnvr4excXFCAsLQ0xMDEJDQ0X7o1QqsW/fPrvdH1PSnJSUBKlUKtrm0qVLOHr0qF3uV3l5Oc6dO4ewsDAA9pF+IsKTTz6Jbdu2Yffu3YiJiRGtt+fjYIm0u4rbb78dhYWFKCgoEP4lJyfjoYceQkFBAbp27cp59ZfU1FStaWP++OMPREdHA+DzyhU5en1qK/ZcfzgzR72HNVan66J5X2VvHP3asX79enTq1Al33XWXwe3s/Ti0+7XIrGHSXNCWLVtIKpXS2rVr6dixYzRv3jzy9vamM2fO2DppOj3zzDO0d+9eOnXqFP388880duxY8vX1FdL79ttvk7+/P23bto0KCwtp8uTJFBYWRpWVlTZLc1VVFeXn51N+fj4BoBUrVlB+fj6dPXvW5DTPmDGDOnfuTLt27aIjR47QiBEjKD4+nhobG22a/qqqKnrmmWcoNzeXTp8+TXv27KHBgwdTRESE3aSfiGjmzJnk7+9Pe/fupUuXLgn/amtrhW3s9ThYKu2uSn10cSLOK5WDBw+Sh4cHvfXWW3T8+HHatGkTeXl50SeffCJsw3nl3ByxPrUVR6/HnZWj3cMSGa/TTb2vsiVnunY0NTVRVFQULViwQLTcXo+DPV2LuJFtglWrVlF0dDR5enpSv379RNMI2JtJkyZRWFgYSaVSCg8Pp3vvvZeKioqE9c3NzZSZmUmhoaEkk8lo2LBhVFhYaMMUE+3Zs4cAaP2bOnWqyWm+efMmPfnkkxQYGEgKhYLGjh1LpaWlNk9/bW0tjRo1ijp27EhSqZSioqJo6tSpWmmzZfqJSGf6AdD69euFbez1OFgq7a5Ks5HNefW3r776inr37k0ymYzi4uJo9erVovWcV87NEetTW3H0etyZOdI9LJHxOt3U+ypbcqZrx/fff08AqKSkRLTcXo+DPV2LJERE5sW+GWOMMcYYY4wxpgv3yWaMMcYYY4wxxiyEG9mMMcYYY4wxxpiFcCObMcYYY4wxxhizEG5kM8YYY4wxxhhjFsKNbMYYY4wxxhhjzEK4kc0YY4wxxhhjjFkIN7IZY4wxxhhjjDEL4UY2Y4wxxpiNbNiwAR06dLB1MmyqpKQEoaGhqKqqAmBenixatAhnzpzRWv71118jMTERzc3NFkwps3ddunTBe++9J/wtkUiwfft2m6XHXmmWOXtXX1+PqKgo5OXl2TopJuNGNtPr8uXLmDNnDrp27QqZTIbIyEiMGzcOP/74Y5u/+8yZM5BIJCgoKGh7Qq1o7969kEgkuH79uuhviUQCNzc3+Pv7IzExEc8//zwuXbpk28QyZgW5ublwd3fHmDFjbJ0UxsziTOeuszcUFi5ciNmzZ8PX19di3zl27FhIJBL85z//sdh3MqCsrAxPPPEEoqKiIJPJEBoaitGjR+P//u//bJ00nS5duoT09HSr/86ePXtw2223ITAwEF5eXujevTumTp2KxsZGq/92a2iWubq6OmRkZKBPnz7w8PDAhAkTTPqeoqIi3HfffejSpQskEonoAYe6rKwsxMTEQC6XIykpCfv37xetJyIsWrQI4eHhUCgUSEtLQ1FRkbBeJpPh2WefxYIFC1q1v7bAjWym05kzZ5CUlITdu3dj6dKlKCwsxM6dO3Hbbbdh9uzZtk5eu2hoaNC7rqSkBBcvXsShQ4ewYMEC7Nq1C71790ZhYWE7ppAx61u3bh3mzJmDnJwclJaW2jo5jJmMz13HcP78eezYsQOPPPKIWZ/bunUrkpKSsGzZMvTv3x+DBg3C559/LtrmkUcewcqVKy2ZXJd333334ddff8XHH3+MP/74Azt27EBaWhquXbtm66TpFBoaCplMZtXfKCoqQnp6Ovr374+ffvoJhYWFWLlyJaRSqdXepCCiVjfgdZW5pqYmKBQKzJ07F3fccYfJ31VbW4uuXbvi7bffRmhoqM5tPv30U8ybNw8LFy5Efn4+hg4divT0dNF1eenSpVixYgU++OADHDp0CKGhoRg5cqQo0v7QQw9h//79KC4ubsVe2wAxpkN6ejpFRERQdXW11rqKigo6ffo0AaD8/HzRcgC0Z88eIiK6du0aPfjggxQcHExyuZxiY2Np3bp1REQEQPRv+PDhRETU1NREr732GkVERJCnpyfFx8fTd999J/yG6nc//fRTGjJkCMnlckpOTqaSkhI6ePAgJSUlkbe3N40ePZrKyspE6V63bh3FxcWRTCajHj160KpVq3R+7/Dhw0kmk9G6detoz549BIAqKiqIiLT+VqmtraUePXpQampqK3OcMftTXV1Nvr6+9Pvvv9OkSZPotddeE63/8ssvKTY2luRyOaWlpdGGDRu0yseBAwdo6NChJJfLqXPnzjRnzhyd1xXGLMnYuau6lu/atYuSkpJIoVDQ4MGD6ffffxe2yczMpPj4eNq4cSNFR0eTn58fTZo0iSorK4VtoqOj6d133xV9d3x8PGVmZgp/L1++nHr37k1eXl7UuXNnmjlzJlVVVQnr169fT/7+/gb3BwB98cUXRPR3ffX5559TWloaKRQK6tu3L+Xm5oo+k5OTQ8OGDSOFQkEdOnSgUaNG0bVr14iIqK6ujubMmUMdO3YkmUxGqampdPDgQa382blzJyUkJJBcLqfbbruNrly5Qt9++y3FxcWRr68vPfDAA1RTUyN8rrm5mf71r39RTEwMyeVy6tu3L23dutXgvi1fvpySk5NFyzTz5OrVq9S/f38aN24c3bx5k0pKSsjd3Z1eeeUVmjVrFn311Ve0ceNG2rx5s+h7zpw5QwDo5MmTBtPATKO6z9u7d6/B7QBQVlYWjRkzhuRyOXXp0oU+++wz0Tbnz5+n+++/nzp06ECBgYF099130+nTp4X1U6dOpfHjx9OyZcsoNDSUAgMDadasWaRUKoVtrly5QmPHjhV+45NPPtEqk60pO6tXr6bOnTuTQqGgCRMm0PLlyw2W0XfffZe6dOliOPPIcmUyKSmJpFIp7d6922JlTp0q782l63pIRDRgwACaMWOGaFlcXBy98MILRNRy3QgNDaW3335bWF9XV0f+/v700UcfiT6XlpZGr7zyitlpswVuZDMt5eXlJJFIaPHixXq3MaWRPXv2bEpISKBDhw7R6dOnKTs7m3bs2EFERAcPHhRucC5dukTl5eVERLRixQry8/OjzZs30++//07PP/88SaVS+uOPP0S/GxcXRzt37qRjx47RoEGDqF+/fpSWlkY5OTl05MgRio2NFRXo1atXU1hYGH3++ed06tQp+vzzzykwMJA2bNgg+t4uXboI21y4cMHkRjZRy0UWAF25cqW1Wc+YXVm7dq1QEX/11VfUpUsXam5uJqKWMiOVSunZZ5+l33//nTZv3kwRERGi8vHbb7+Rj48Pvfvuu/THH3/QgQMHKDExkTIyMmy1S8xFGDp3if6+lg8cOJD27t1LRUVFNHToUEpJSRG2yczMJB8fH7r33nupsLCQfvrpJwoNDaWXXnpJ2MaURva7775Lu3fvplOnTtGPP/5IPXr0oJkzZwrrW9vIjouLo6+//ppKSkroH//4B0VHR1NDQwMREeXn55NMJqOZM2dSQUEBHT16lFauXEl//vknERHNnTuXwsPD6dtvv6WioiKaOnUqBQQECHWxKn8GDRokqleHDx9Oo0aNoiNHjtBPP/1EQUFBohvjl156SaifT548SevXryeZTGawUTZ+/HitG3D1PDl37hz17NmTpkyZIuzf1q1bSSqVUnNzM2VmZooaZ5o6deok1PWsbRoaGsjHx4fmzZtHdXV1ercDQEFBQbRmzRoqKSmhl19+mdzd3enYsWNERFRTU0Pdu3enRx99lH777Tc6duwYPfjgg9SjRw+qr68nopaGnp+fH82YMYOKi4vpq6++Ii8vL1q9erXwO+np6dS7d2/Kzc2lw4cPU0pKCikUCqONbENlJycnh9zc3GjZsmVUUlJCq1atosDAQINldPPmzSSTyWjfvn16t7FUmezbty/98MMPdOLECbp69arFypw6Szay6+vryd3dnbZt2yZaPnfuXBo2bBgREZ08eZIA0JEjR0Tb3H333fTwww+Llj3//POUlpZmdtpsgRvZTMsvv/xCALQKhDpTGtnjxo2jRx55xOTPExGFh4fTW2+9JVrWv39/mjVrluhz//3f/y2s37x5MwGgH3/8UVi2ZMkS6tGjh/B3ZGQk/ec//xF97xtvvEGDBw8Wfe97770n2sacRvZ3331HAOiXX37Ruc+MOZqUlBShTDQ0NFBwcDBlZ2cTEdGCBQuod+/eou0XLlwoKh9Tpkyhxx9/XLTN/v37yc3NjW7evGn9HWAuy9C5SySOZKt88803BEA4NzMzM8nLy0sUuX7uuedo4MCBwt+mNLI1ffbZZxQUFCT83dpGtno9WFRURACouLiYiIgmT56s982q6upqkkqltGnTJmGZUqmk8PBwWrp0KRHpzp8lS5ZoRYWfeOIJGj16tPC9crlcKyo4bdo0mjx5st59i4+Pp9dff120TJUnJSUlFBUVRXPmzBE9JDl16hTJZDJ65plnaNq0aQYb2YmJibRo0SK965l5/vd//5cCAgJILpdTSkoKvfjii/Trr7+KtgGg1YgbOHCg8HBp7dq11KNHD9Exra+vJ4VCQd9//z0RtTT0oqOjqbGxUdhm4sSJNGnSJCIiKikpIQD0888/C+uLi4sJgNFGtqGyM2nSJLrrrrtEaX/ooYcMltHGxkbKyMggABQaGkoTJkyglStX0o0bN4RtLFUmt2/fLvqcpcqcOks2si9cuEAA6MCBA6Llb731Ft1yyy1E1PLGGwC6cOGCaJvp06fTqFGjRMv+/e9/m/TWgD3gPtlMCxEBaBlopS1mzpyJLVu2ICEhAc8//zxyc3MNbl9ZWYmLFy8iNTVVtDw1NVWr/0Xfvn2F/w8JCQEA9OnTR7SsrKwMAPDnn3/i3LlzmDZtGnx8fIR/b775Jk6ePCn63uTkZPN39C+WyjfG7EFJSQkOHjyIBx54AADg4eGBSZMmYd26dcL6/v37iz4zYMAA0d95eXnYsGGDqNyNHj0azc3NOH36dPvsCHM5xs5ddep1SVhYGAAIdQfQMlKx+mBcYWFhovWm2LNnD0aOHImIiAj4+vri4YcfRnl5OWpqasz6HnPSXlBQgNtvv13n506ePImGhgZRXSuVSjFgwACjda2Xlxe6du0qWqb6zWPHjqGurg4jR44UlfmNGzdq1bXqbt68CblcrnP5kCFDMGHCBLz//vuiujUmJgbZ2dk4evQoNm/ejH79+uHBBx/U+TsKhQK1tbV6f5+Z57777sPFixexY8cOjB49Gnv37kW/fv2wYcMG0XaDBw/W+lt1fuXl5eHEiRPw9fUVzpPAwEDU1dWJjmGvXr3g7u4u/K1e/oqLi+Hh4SG6b4uLizNpVHpDZaekpESrLtP8W5O7uzvWr1+P8+fPY+nSpQgPD8dbb72FXr16CYPiWqpMqu+vpcucIaWlpaLfWLx4sVmf17w3JiKtZaZs40jl2cPWCWD2p3v37pBIJCguLtY7uqCbW8vzGVXDEtAeKCw9PR1nz57FN998g127duH222/H7Nmz8c477xj8fVMKmVQq1dpec5lqsAnVf9esWYOBAweKvkf94g0A3t7eBtNmiOpC2KVLl1Z/B2P2Yu3atWhsbERERISwjIgglUpRUVGhs1yqXw+AlrL3xBNPYO7cuVrfHxUVZZ2EM5dn7NwNCAgQluuqS9QHKlJfr9pGfb2bm5vWea9eF549exZ33nknZsyYgTfeeAOBgYHIycnBtGnTDA6uaQpDaVcoFHo/p++BsCl1raH8UP33m2++EeU9AIMDTwUHB6OiokJruUwmwx133IFvvvkGzz33HDp37ixaP3ToUOzcuROLFi1Cr169sHbtWowYMQInT56Eh8fft7fXrl1Dx44d9f4+M59cLsfIkSMxcuRIvPrqq3jssceQmZmJjIwMg59TP0+TkpKwadMmrW3Uj5Wh860tgQ1DZceUuk2fiIgITJkyBVOmTMGbb76JW265BR999BFee+01i5VJ9ftUS5c5Q8LDw0UzAgUGBpr0ueDgYLi7u+Py5cui5WVlZUKQTDVg2uXLl4WHHprbqDhSeeZINtMSGBiI0aNHY9WqVTqftF+/fl04wdWnrdI1HVfHjh2RkZGBTz75BO+99x5Wr14NAPD09ATQMpqhip+fH8LDw5GTkyP6jtzcXPTs2bPV+xMSEoKIiAicOnUKsbGxon8xMTGt/l51N2/exOrVqzFs2DCHKfyM6dPY2IiNGzdi+fLlKCgoEP79+uuviI6OxqZNmxAXF4dDhw6JPnf48GHR3/369UNRUZFWuYuNjRWuAYxZkinnriV17NhRVA9WVlaK3tI4fPgwGhsbsXz5cgwaNAi33HILLl68aNE06NK3b1+9022qyp96XdvQ0IDDhw+3qa699dZbIZPJUFpaqlXeIyMj9X4uMTERx44d01ru5uaG//mf/0FSUhJGjBhhMN/69++PZcuWobS0FGfPnhWWqyKjiYmJrd4vZtytt96qdb/4888/a/0dFxcHoKVuOH78ODp16qR1rvj7+5v0mz179kRjY6Oo3ikpKRGmXG2tuLg4HDx4ULRMs24zRUBAAMLCwoR8sUaZtHSZM8TDw0P0/aY2sj09PZGUlITs7GzR8uzsbKSkpABoeTMlNDRUtI1SqcS+ffuEbVSOHj3qMOWZI9lMp6ysLKSkpGDAgAF4/fXX0bdvXzQ2NiI7OxsffvghiouLMWjQILz99tvo0qULrl69ipdffln0Ha+++iqSkpLQq1cv1NfX4+uvvxYuFp06dYJCocDOnTvRuXNnyOVy+Pv747nnnkNmZia6deuGhIQErF+/HgUFBW2+MVq0aBHmzp0LPz8/pKeno76+HocPH0ZFRQXmz59v9veVlZWhrq4OVVVVyMvLw9KlS3H16lVs27atTelkzB58/fXXqKiowLRp07RueP7xj39g7dq12LZtG1asWIEFCxZg2rRpKCgoEF4XVD15X7BgAQYNGoTZs2dj+vTp8Pb2RnFxMbKzs3laHWYVppy7Tz75pMV+b8SIEdiwYQPGjRuHgIAAvPLKK6I3pLp164bGxkasXLkS48aNw4EDB/DRRx9Z7Pf1efHFF9GnTx/MmjULM2bMgKenJ/bs2YOJEyciODgYM2fOxHPPPYfAwEBERUVh6dKlqK2txbRp01r9m76+vnj22Wfx9NNPo7m5GUOGDEFlZSVyc3Ph4+ODqVOn6vzc6NGj8dhjj6GpqUnr7TJ3d3ds2rQJkydPxogRI7B3716EhoZi586dKC4uxvjx49Hc3IyysjKsWbMGwcHBordkfv75Z8hkMq1Xl1nrlJeXY+LEiXj00UfRt29f+Pr64vDhw1i6dCnGjx8v2nbr1q1ITk7GkCFDsGnTJhw8eBBr164F0DIV07JlyzB+/Hi8/vrr6Ny5M0pLS7Ft2zadby3o0qNHD4wZMwbTp0/H6tWr4eHhgXnz5hmMGJtizpw5GDZsGFasWIFx48Zh9+7d+O677wxGzP/rv/4LBQUFuOeee9CtWzfU1dVh48aNKCoqEuo6a5RJS5e5Y8eOQalU4tq1a6iqqhKCZwkJCXrToFQqhQa7UqnEhQsXUFBQAB8fH8TGxgIA5s+fjylTpiA5ORmDBw/G6tWrUVpaihkzZgBouWeYN28eFi9ejO7du6N79+5YvHgxvLy88OCDD4p+b//+/XjjjTf0pseutHcncOY4Ll68SLNnz6bo6Gjy9PSkiIgIuvvuu4WBzVQjeysUCkpISKAffvhBNPDZG2+8QT179iSFQkGBgYE0fvx4OnXqlPD9a9asocjISHJzc9M5hZdUKtU7hZf6gGm6BiPTNZDMpk2bKCEhgTw9PSkgIICGDRsmDO6mbyA2fQOfASCJREK+vr4UHx9Pzz33HF26dKnVec2YPRk7dizdeeedOtfl5eURAMrLyxOm8JLJZJSWlkYffvihaOAoopaZBEaOHEk+Pj7k7e1Nffv21RrckDFLMfXc1VVv5OfnEwBhEC3VFF7q3n33XYqOjhb+vnHjBt1///3k5+dHkZGRtGHDBq2Bz1asWEFhYWGkUCho9OjRtHHjRtFvt3bgM0MDjxIR7d27l1JSUkgmk1GHDh1o9OjRwm/evHmT5syZQ8HBwQanCzJWr2rmUXNzM/373/+mHj16kFQqpY4dO9Lo0aMNjrrc2NhIERERtHPnTr2/1dDQQPfeey/17NmTrly5QsXFxTRp0iSKiIggd3d38vHxodTUVNEgWEREjz/+OD3xxBN6f5uZp66ujl544QXq168f+fv7k5eXF/Xo0YNefvllqq2tFbYDQKtWraKRI0eSTCaj6OhorenVLl26RA8//LBwDnbt2pWmT58uDBama/Ctp556SrhfVH3HXXfdRTKZjKKiooTp9owNfGas7KxevZoiIiKEKbzefPNNCg0N1ZsvR44coX/+858UExNDMpmMgoKCaNiwYcKMOiqWLpNElitzRC0Dl6nucdX/GaLKU81/6seJiGjVqlVCe6Jfv35a6VPNFBAaGkoymYyGDRtGhYWFom1yc3OpQ4cOonPNnkmITOxowBhjjBnw1ltv4aOPPsK5c+dsnRTGmAPJysrCl19+ie+//97szy5atAgZGRla46H8+eefiIuLw+HDhy3WNYyZRiKR4IsvvtA7ro+jmT59On7//Xfs37/f1kmxmLaUOVuZOHEiEhMT8dJLL9k6KSbh18UZY4y1SlZWFvr374+goCAcOHAAy5Yts+iruIwx1/D444+joqICVVVVotHc2+L06dPIysriBjYz2zvvvIORI0fC29sb3333HT7++GNkZWXZOlkWZY0yZ0319fWIj4/H008/beukmIwj2Ywxxlrl6aefxqeffopr164hKioKU6ZMwYsvviga2ZcxxphrcfRI9v3334+9e/eiqqoKXbt2xZw5c4T+w4yZihvZjDHGGGOMMcaYhfAUXowxxhhjjDHGmIVwI5sxxhhjjDHGGLMQbmQzxhhjjDHGGGMWwo1sxhhjjDHGGGPMQriRzRhjjDHGGGOMWQg3shljjDHGGGOMMQvhRjZjjDHGGGOMMWYh3MhmjDHGGGOMMcYshBvZjDHGGGOMMcaYhfw/+7FlSqpSmjgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "plt.figure()\n",
    "%matplotlib inline\n",
    "sns.pairplot(pd.DataFrame(y))   #visualising the correlation with each feature pairs\n",
    "\n",
    "#from the scatterplot annual income vs spending score graph showing clear clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c1a03db3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     CustomerID   Genre  Age  Annual Income (k$)  Spending Score (1-100)  \\\n",
      "0             1    Male   19                  15                      39   \n",
      "1             2    Male   21                  15                      81   \n",
      "2             3  Female   20                  16                       6   \n",
      "3             4  Female   23                  16                      77   \n",
      "4             5  Female   31                  17                      40   \n",
      "..          ...     ...  ...                 ...                     ...   \n",
      "195         196  Female   35                 120                      79   \n",
      "196         197  Female   45                 126                      28   \n",
      "197         198    Male   32                 126                      74   \n",
      "198         199    Male   32                 137                      18   \n",
      "199         200    Male   30                 137                      83   \n",
      "\n",
      "     Age bins  Age_bins  \n",
      "0    (15, 30]  (15, 30]  \n",
      "1    (15, 30]  (15, 30]  \n",
      "2    (15, 30]  (15, 30]  \n",
      "3    (15, 30]  (15, 30]  \n",
      "4    (30, 45]  (30, 45]  \n",
      "..        ...       ...  \n",
      "195  (30, 45]  (30, 45]  \n",
      "196  (30, 45]  (30, 45]  \n",
      "197  (30, 45]  (30, 45]  \n",
      "198  (30, 45]  (30, 45]  \n",
      "199  (15, 30]  (15, 30]  \n",
      "\n",
      "[200 rows x 7 columns]\n"
     ]
    }
   ],
   "source": [
    "print(customer_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "e794d1a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200,)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#slicing the features\n",
    "y = customer_data.iloc[:,3:5].values\n",
    "\n",
    "annual_income = customer_data.iloc[: , 3].values\n",
    "spend_score  = customer_data.iloc[: , 4].values\n",
    "Annual_income.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "73646dac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Spending_Score')"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(annual_income,spend_score,c='red')\n",
    "plt.xlabel('Annual_income')\n",
    "plt.ylabel('Spending_Score')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "9c930233",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.cluster.hierarchy as sch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "b5a83601",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import dendrogram, linkage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "ec00b7b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 7))\n",
    "plt.title(\"Customers Dendrogram\")\n",
    "\n",
    "#based on euclidean distance\n",
    "clusters = sch.linkage(y, \n",
    "            method='ward', \n",
    "            metric=\"euclidean\")\n",
    "\n",
    "#ward - minimises mean squared error between the points in a cluster and its centroid\n",
    "\n",
    "sch.dendrogram(Z=clusters)\n",
    "plt.show()\n",
    "\n",
    "#from the diagram it can be seen there are 5 clusters, the horizotal line cutting longest vertical line will create 5 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "068f6438",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "b2cf5efe",
   "metadata": {},
   "outputs": [],
   "source": [
    "k = AgglomerativeClustering(n_clusters =5).fit(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "479b450f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n",
      " 3 4 3 4 3 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 0 2 0 2 1 2 0 2 0 2 0 2 0 2 1 2 0 2 1 2\n",
      " 0 2 0 2 0 2 0 2 0 2 0 2 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0\n",
      " 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2]\n",
      "200\n"
     ]
    }
   ],
   "source": [
    "labels = k.labels_\n",
    "print(labels)\n",
    "print(len(labels))\n",
    "\n",
    "#200 customers are falling to different categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "22d9fc10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#y[labels == 0 , boolen mask and 0 represent the x coordinate, 1 represent the y coordinate]\n",
    "\n",
    "plt.scatter(y[labels==0, 0], y[labels==0, 1], s=50, marker='o', color='red')\n",
    "plt.scatter(y[labels==1, 0], y[labels==1, 1], s=50, marker='o', color='blue')\n",
    "plt.scatter(y[labels==2, 0], y[labels==2, 1], s=50, marker='o', color='green')\n",
    "plt.scatter(y[labels==3, 0], y[labels==3, 1], s=50, marker='o', color='purple')\n",
    "plt.scatter(y[labels==4, 0], y[labels==4, 1], s=50, marker='o', color='orange')\n",
    "plt.show()\n",
    "#there are 5 clusters of customers "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "281d259a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5b38f6b5",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c16fb962",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}