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D59Ovz8/BAaGor09HRub8LP1CCkMjHAnJ2d0a5dO0D1R7PZjNTUVHz44Ydwc3PDwoUL6/BNuDt06IDx48ejrKyMy/9HQHUoqBljKC8vx0cffYSysjIsW7YMvr6+nJaiKHB3d+dJhfjVqw8qLVq0gNls5r5OeiIQ9aQXZkxE0CYQ8tG0tDQ8ePAATF2CUNTBR79+/eDg4ICwsDBUVFTg6tWrqK6uxrBhw8CEp8NnnnkGP/744+94qg9ILtJPWloaPvroI/j4+ECn06Fbt244cOAAqqqqUFZWhjNnzmD06NHYvHkzzp49i1GjRsHZ2RmTJ09Geno6ZLXzLCsrw4YNG9C0aVNYWVnh1Vdf5XYX7SULs4c5OTl499130bhxY1hbWyMwMBD79u3j93bv3o3XX38dmzZtQkhICPr16wcvLy98+umnyMvL4/k0JiYGEyZMgLOzc52BssFgwC+//IKamhouu/ggZjAYEBwcDEdHR9jY2GDIkCGIj48HVP+R1U5GO4BOTk5GRUUFPvjgAzD1YaOwsJDblmQmmmTvu3fvYvr06XB1dYVer8fw4cMRHR0Ns9mMx48fY926dWjWrBlycnKwbds2eHl5wdPTE0eOHOE6VBQFYWFhGD16NGxsbNCpUyf8+OOPYJpZG+JBURRUVVUhJCQEgwYNgrOzM5o0aYJ58+YhKSkJOp0OEREReOutt/DOO+/g5MmTWLx4MTw9PfHUU08hLCwMZnWpV5ZlXLhwAT179qwzQy6pqwa07KPX6+sMFMxmM8LDwzFu3DgYDAY0bdoUwcHBKC0trRMTxPvdu3dx+vRptGzZEsOHD4eHhwdkdeBEAyI/Pz+MGjUKbm5ukNW8L8auwWDA1q1b0a5dO+j1enh5efFtN0ajERcvXsScOXMwffp0nDhxAq1atcJrr72G8vJyZGdn47PPPkOjRo3g5OSEV155BZGRkdxvoBm05+TkYN26dfD394e1tTXatm2L3bt3o6ysjNsiISEBb7/9NpycnCBJEqZOnYrMzEx8+eWXsLGxgb29PYKDg2EymXD8+HHIsgwvLy/89NNPSE5Oxttvv40bN25g/fr18Pb2xsqVKyFJErKzs7FixQq4u7vDzc0NM2fORGxsLCAMjKlfYIzh8ePHWLFiBXx9fSGpfc+xY8dQXl6OsrIy/Pzzz+jWrRt++eUXhIaGokuXLtDr9fjwww/B1D4Q6t7hiRMn/m4s0aRJE2zevJnTJ7+k65SUFMyfPx+NGjWCj48PFixYUGdP9OHDh9GhQwdIkoRevXphzZo1yMvLgyQMzGUShgQj56QBCN0vKytDTk4OwsPDcfbsWXTq1AkrVqxARUUFDh48iNzc3DpBC3VAVlxcjOzsbPz6669wd3fHs88+ywMpNTUVxcXFnK7FYsGoUaMQGRmJnJwcJCUloXv37mjcuDFu3bqFjz/+GLIsw8bGBrm5ubh58yaWLl2KAwcOoKKiArt374aPjw+WLVuGRYsWYcKECUhOTsa3334LHx8fLovW4T744APY2NggMjIS4eHhSEtLw+bNm1FaWory8nKkpKSguLgYq1evhr+/P/bu3Qt7e3ssXboUTH2yiI6OxuzZszFy5EhUVlZi3759cHZ2xqhRo3D79m08/fTTXOmkI0VRcO7cOezevRsTJ07EgwcPMGPGDGzduhUHDhyA0WhEVlYW5s2bBwcHB8TGxiIkJAQODg58IAw1KMh+VlZWWLFiBVatWgV7e3soioLMzEwUFxejpKQE8fHxuH79OgYOHIiuXbuivLwcubm5ePz4MSoqKqDX61FRUYG9e/fizJkz+P7775GamorAwEB8++23uH37NmpqapCdnY28vDwcOHAAeXl5+OyzzzBs2DDs2LEDjx49giRJyMrKwsSJE6HT6ZCZmYno6Gj4+vrCzc0NNTU1GDt2LNeflZUVH9Tl5uZi5cqV8PHxwcOHD7F7926EhYXho48+Qnl5OSSh44Xmiff69etwd3fHnDlz0LFjR/z222+Ii4vjvgyh8xGf+MgvmNpZ3b9/H5K678piseDGjRswmUx45pln4OTkxIORnoQUdaDRqVMnDBs2jPPzZ0C+SHWXL1+OK1euYM2aNejVqxePQ4otRZi1E+U3m83IycmBlZUV7O3tIWtmeBljCA8PR58+fbguqHOnjpni/s0330R2djbMZjOfCampqeEdEYTBR7du3eDg4ICbN2/CZDIhNDQURqMRLVu2rPPk26lTJxiNRsTGxsLDwwNHjhzB3bt3UVFRgXPnzuHixYvw9/fndiB9lpeXY+fOnbh27Rr279+Px48fo1OnTti1axfu3buH2tpalJeXIzMzEydPnsStW7cwZ84czJ49G2fOnMH169dRWVkJvV6P5cuX49ixYzh+/DjS0tLg4eEBSY1Fra30ej1KS0uxa9cunD17FufOncP9+/fRqVMnbNmyBdHR0dDr9cjKykJERATOnz+P5ORkLFu2DEOHDsXx48cRFRUFvV6PuLg4vP/++/Dx8cH9+/cRGhqKrl27on///rh//z5efPFF2NjY1JlJUNQn+Pnz5yM5ORkZGRm4desWiouLMWHCBBQVFXHbivqCmneTkpJQWVmJ6dOn47nnnkNkZCR/uCNfojgi/8/Ly8OyZcsAAJGRkYiLi0NJSQm+/PJL5OXlobq6GllZWSgsLERwcDA8PT1x+PBheHl5Yc6cOYD6kPfo0SPMnDkTnTt3RlpaGr777juUlJTUiVNR35IkISIiAjt27EDfvn2RkJCADRs24OLFizhy5Ajy8vKgKAoePnyI27dv49ixY+jTpw/Wr1+PgoICHDlyBMXFxbBYLLhw4QJee+01zJkzB8XFxTh06BAMBgMmTZqEkpISNG/enPuuTljiDQ8Px8qVKzF16lTk5uZi/vz52L59O7Zt28ZjieJOlmVEREQgJiYGrVu3ho+PTx3ZKL5kWUZQUBB8fX15expYKoqCgwcP4sMPP8TXX38Ns9mMefPm4fPPP8fly5dhsVhQWlqKixcvIj09HYmJiXjttddgMBjw8OFD7Ny5E+np6YiIiMDx48eRn5+PNWvW1NmrSLYGgB07duDSpUv4+uuvkZycjMDAQHzxxRdISEiApA6qpk2bBk9PzzrL/J9++inmzJmD6OhoWIQZpeeffx4nT54EU/MgPaQ/++yz+OCDD5Cbm4uPP/4Yqamp2L59O5+c2bt3L+7fv48vvvgCGRkZ3HeZ8IC5ZcsW3L59Gz/99BNSUlLQoUMHfPbZZ3xvdVlZGTIzM3Hs2DHExMRg8+bNmDRpEr788kvcvXsXVlZWKCoqQlBQEEpLS5GTk4ObN2+iY8eO6Nq1Ky5fvoy3336b+x/Zl6kvkXzzzTfw9PREdHQ0Nm3ahOvXr2Pbtm3Iy8vD1atXcfbsWXzxxRfIz8/Ha6+9BovFUqc/1ul0//9SICGmw6yudSqKAjs7O7Rp0wZt2rSBr68vJk+ejMmTJ+Oll15CYGAgamtrUVtbywObEkSjRo3QvXt3ODs7o2vXrhg6dCi+/fZbrF69GkOGDEFgYCCfumOMITIyEnfv3sV7770Hd3d3NGnSBJ988gmqqqpw5coV7pCVlZV8lsrPzw++vr5o0aIF8vPzIalPfGInQMKSsxMoioLa2looioLu3bvDy8sL3bt3R69evfD48WNUVVWhXbt26N69O3Q6HWbPno2goCAMGDAA8+bNQ35+Ppc9JCQEirp/x8bGBv3798eECROQlZWF+/fvg2meeCRJQn5+Pq5fv45WrVrh5Zdfhre3N4KCgtChQwfcvn0bGRkZWL9+PRwdHTFr1iz4+fmhS5cumDRpEry8vLiskmba1mKx8ClQctg2bdqgS5cusLW1xcCBAzF16lTs27cPs2fPRt++fdGyZUuuL5PJhJqaGvj7+6NNmzZo2rQpAgMDoSgKCgoK4O3tjS5dusDDwwPDhg3D5MmTMWjQIAQFBcHR0REWdTni3LlzyMjIwLRp0+Do6IhOnTphwYIFKC8vx82bN7k9LOqMm42NDWpqahAeHs4HvF5eXujbty/GjRuH+Ph4hIWFQaqnM2SMISUlBTU1NQgICICvry+CgoLQqFEjnD17ls9aiQcFtFndl6HT6ZCUlIR3330X6enpmDFjBtq3bw8AePz4MaysrNC/f38wYYmBBj0UnCI/fwaiDBaLBd988w3Onz+P1atXY+DAgTAYDDyWqJ4sLEkRXYvFgl9//RUfffQRvLy88Oabb9ZLv2fPnrh58yZvS3o3m811lmK/+uorNG7cmA+8AMDV1RX29vaIiYlBUVERp52VlYXa2lq4uLhAVme+ZVmGh4cHIMyqEN+yLKNDhw5YunQpJk2aBG9vb4SGhmL16tVwcHAAhOl0i7rcazQa4e/vj1atWsHX1xeBgYGoqqpCVlYWPD090alTJ7i7u6NXr16YM2cORo0ahenTp6NJkyYoLi6Goig4efIkDh06hC+++AJdunSBt7c3Pv30U0jqJlvSMelZUWceampq4O3tjQ4dOqBp06YYPnw4KisrkZ6eDjc3N3Tt2hXe3t4YMmQIFi5ciOeffx7PP/88GjdujOrqajDGcO7cOeTl5WHYsGHw8/PD4MGDMXz4cNy5cwfFxcXcB21sbADBLxITExEaGoqtW7fCwcEBnTp1wnvvvYesrCy+j4ViiPxAURRkZGQgPT0dw4YNg4+PDwYPHgyLxYJTp07xARnlC0UYqFdWVsJsNqNnz57w8PBAu3bt0KlTJ2RnZ6O6uhpt27ZFx44dYWVlhWnTpuGll17CwIEDMWnSJD7jVlNTg+DgYDRq1AirVq2Ct7c3AgMDMX36dMhqx0kg6ryqqgp2dnbo0KEDfHx80KdPH3To0AE5OTmwWCzo1asXvL294e3tjfnz52PcuHGYPn06fH19UVlZyXPO/v374eLigjFjxsDOzg7jxo3DsGHDcODAAeiFZWFJmPkuLCzErVu3MHToUIwePRouLi4YNWoUunTpgqtXryI1NRUWYauKxWJBUVERSkpK0KJFCzRt2pT3L4RTUnM92YWp+YZ0IKsbp11dXREYGAhJkjBz5kwoioK4uDjY2dmhf//+8Pf3h8FgwPvvv4+VK1fihx9+QGFhISIiIrB8+XKuqxdffBH379/HrVu3OA8Ub4wxlJaWws/Pj2/zGTFiBCorK7n/7d27F507d8b06dP5UqabmxsKCgoAgO9rJpAkic/qi3KRDhR1AiEqKgqPHj3CBx98gMaNG+Ppp5/Gc889h4iICNy8eRMQZo3ID0tKStCqVSs0b94c/v7+GDFiBHJyclBVVQVvb2/07NkTer2ex9zTTz/NdVdWVgaLxYJbt24hIyMDb731Ftzd3dG+fXssWLAAxcXFuH37NpjwUEqxYDabcfnyZRiNRsyZMwc+Pj4YOXIk+vbtiytXriA2NhaVlZVwcXGBh4cH3N3d8c477+CZZ56BjY0Nl5sx9h+fW9BrdtJLmlG3qDgrKyvY2NjUYSwzMxOZmZm8vRYfAHh4eMDOzo7jJ0HoSVmSJNja2sJisSA5OZkrHOrTo4+PD08gNjY20Ov1cHJygqwuhSjqU3VFRUWdDk90cvEgmfz8/HDu3DnMnTsXERERmDRpEkJCQlBTU8PbEX+0DCPLMmpra2GxWHDnzh1I6jQzYwxFRUUcN0310yAI6gBPUZN2RkYGIiIi8O6773LddurUCSdOnEBqaiqio6ORlJSEZs2a1emoHB0d6+iG7KWjjXNCMIvyS+r0c6NGjbhclJCoDtRO9JNPPsHevXtRUVGBDz/8EMHBwcjKyoJFnaEReaG36ei4e/cuSktL+f4lSo7kG5Ik1XnKo87bbDajqqoKly9fxvHjx/lsSuPGjbFu3TqUlpYiNTWVOy/xLal+evXqVVhZWfF9gX379kXXrl1x9uxZPHz4kNsAwqwVAEyZMgW2traQJAmtWrXCxo0bMWLECKxZs6aOTnXq3gzSFfm3rEkMpNs/A5JBVpcvduzYgVGjRuG5556DnZ0dmDqTTHXp12Kx4OLFi3ypw8rKChMnToSzszO+++47tGrVitelduTDsubJmXRC8U68UznV8fLywtChQ5Gbm4sffvgB2dnZyMrKwoEDB1BSUoLevXvD2tqabwQnIJoWYd+MlZUVhg8fjri4OJSXl2PPnj38pQ7iWVJ92t3dHZ999hl+/PFHFBYW4sMPP8SmTZtQVFQESdhXI6kbpcleZnU5Jj4+HpWVlbh48SJcXFzQvHlzLqeLiwsg+B/Rh6ovd3d3fPzxxwgJCUFCQgJWrFiBRYsWgWn2pxgMBlhbW0MS4igxMZG/RGBvb4+ysjJUVlZy3UuSBF9fX95Op9PBKLyBLMsyTp06haSkJBgMBp53J02aBJPJhPj4+Do+QTxZLBYkJCQgKysL/fr1g6Io6NatG5599lncu3cP0dHRgDCzQjELAM2aNcPp06fx1ltv4c6dO5g5cyaOHz+O8vJy3ob0TS/QMHVJ3Wg04tatW6itrcXJkyf5YIH8ifIj4REPAHj22Wdx4MABPP/88zh27BjmzZuHEydO1MEBQddkZwCIioriLz7Y29sjPT2dLwdZ1AFR8+bNAc3+KXr4rKiowOHDh/Huu+9CVvuTDh064NixYygpKUF2djbnE0K/xIStM6INiGf6pTIr4Q1ts9mMyZMnIzk5GUajEd9++y369+8PCG/Jk9xNmzYFU/NLSUkJ4uLiEBISAm9vbxgMBjg4OGDRokXIzc1FSkoKtynxJMsyNm7ciB07dsBisWD9+vVYsWIFX2a1WCwIDQ3l8UvxHx8fj2PHjsHGxobrm+SiPpdoEb8QYr6wsBBxcXHYv38/vLy8oNfr4ejoiJUrV/IVD1FXhH/nzp3YvHkzKisrsWbNGqxcuRIZGRlc96RPW1tbzqtOzecRERGwWCxwcHBAbW0t0tLS6tiM+j9qR3QlSUJxcTESExOxefNmNGrUCFZWVnB2dsY333yD1NRU5Ofno1WrVkhOTsYnn3yC8+fPo7KyEgMGDICXlxfHyRiDrKvn6ZeAFEVMESNahkgxdE7OBGFnP5VTPb06pWgWvpvTuXNnvPHGG/jxxx+RkpICo9GIo0ePwsvLiy+lMWE9VDwHgLKyMmRlZfFroskYww8//FDnFXu9Xo+9e/dClmUkJCQgKCgIn3/+OV588UW89NJLcHR05PxSkBJOaHRia2uLcePGoUmTJti7dy8KCwuRkpKCqKgo9OvXD56enrytRdhEZ7FY4O/vj127doEJs4RmsxkXL15E165dYTKZ4ObmBhsbG647cmbihWQkXUjCZxjICck2EJYjST4mzN5QWXZ2NlauXIkZM2bAxcUF06ZNQ4sWLeq0J6B2dI94GDx4MPr06YMjR47g8ePHKCgoQEhICAYOHIiAgIA6/Ivy2NraYu7cuTCrS1EWiwU1NTV4+PAhZsyYUYcuJba0tDRcuHCB77mjgffOnTuRmJiImzdvorCwkPNmFjZu7927F9XV1TCre6k2bdqES5cuoV27doiNjYWkvkVWXV2N+/fvc9rEM8ksJntK3mRPqkcH6VlRFCQkJGDdunXo2rUr3njjDXh6etaxGdWlAwAGDRrEZ5mMRiMOHjyIZs2aYfTo0XwmRgRFURAeHo6ePXtCpy796dTBOA12yV/efPNNZGZmAkJ8A8D06dPx3nvv4fjx42jbti0WLVqEyMhImEwm9O7dG7a2tr/jVcsHhKl3CElYe05yK4qCrKwsfPzxx5g9ezY8PDzw+uuvo2nTppw30Z8JtOdlZWVo1qxZHdqoxxe0PBcUFGDlypUYP348mjRpgtWrV3OaFMcQNsmL/k8wYsQI9OnTB6dOncKDBw+QlpaGqKgoPP3002jUqBGg8kixKl4PGjSIx4BZnYkvLy/HypUruf+JR0ZGBo4ePYr169dzezZp0gSbNm1CTEwMLly4gKqqqt/ZhfSVmJiIl19+GWvXrsXQoUMxfvx4uLq68jpampLqw2J5ZWUlmjVrxnGLdiX9UF2KhdraWpw9exYTJ07E/v37MWPGDIwaNep3tGRhZk6UgfifPXs2/Pz8+PJTXFwcwsPD8cYbb/A25AMWdYDLGIOvry/27t3LdUyxe+3aNfTu3ft3+rK1tYWdnR1yc3P53jXigX6JFrWlPGBRlyElScKePXvQvn17PH78GCdPngSEGSA6p/aET1EUPP/881DUB3SL+tBSXFyMjz76qI4Pknx5eXlYs2YNZs6cCaPRiEWLFqFt27ZgwswWAfFIOCg+yNYE4jXRInqinSdOnAim9m/kywUFBZg3b16ddiRbTk4Oli5dipkzZ8LKygoffPABmjdvXoc2hJjT+obBYECPHj0wduxY7N27F+np6SguLkZoaCj8/PwQGBgICLO2ZCOy4aJFi6CoeZr8IS8vD6+++ipatWqFr7/+Gs8++yzeeOMNTJgwAeHh4TALL/FJkvq5BXI0Yo7KICQICmxihgjTfaorKpZwmtWNhSLzhEekxRjDihUr0K1bNwwbNgyurq4oKSnBsWPH+H4hokm80sCQBJOE6VhRru7du2PJkiVYv349goODERwcjM6dO+PevXt444030KZNG+zatQtjxoyBvb09IAyexKdRkocJwWM2m9GiRQusXLkS4eHhaN26NcaNG4eXXnoJH330UZ22In86nQ6PHz9GXFwcqqurue4ZY4iLi+PLV1lZWahQv9sFdbqd9CvqXkzMFCxEC0IyozqkG/FckiTk5ORg48aNuHXrFrZs2YL33nuP738hICen9iJQmaurK9auXQu9Xo9BgwbBy8sLPj4++PHHHzmvZE9Rnurqaty8eRPF6uv5UOUpKChAdHQ0x0+ySJKEK1euoFWrVkhPT4dFXeKyWCyIj4/H4MGDcfToUb7/gJarRJkpwHx9fTF37lzs3LkThYWFmD17NvTqK9q1tbW4fv06iouL69hK5EeMCcJNAxfxoLrZ2dn4+OOPYTAYsGDBAr4HhHCI/k44SSeEx8rKCmPHjsXPP/8MJycnfPfddzh//nydtpIkoWfPnggLC+O0KSFTcmbqxs8tW7agSZMmkAT7SOrgcuHChUhPT0d5eTm2b9+O1NRUvPLKK+jevTusrKwwdOhQWFlZ4ebNmzxOzOoUu52dHXr06MGT9pNA1FFeXh6++OILREZG4quvvsLixYvh5+f3u5iXNJ2YXticT34VFRX1uzwhC2+qUawwtWPJzc3FZ599hmvXruHIkSN4++230ahRozrtSYfaeKBYkdVZ8enTp8PR0RHDhg1Dx44d0bx5c7z//vto0qQJ9yHKryKey5cv1/lOmCRJKC8vx8WLFzmfJLvRaERcXBz0ej3Ky8u5PIo6qB48eDAiIyPrfJCZZIA6qJo7dy6aNWuGXbt2YeLEib/bzynyRzxRuU54xT0mJgYQOmnyIyojmSkOz507h3Xr1mHQoEH4/vvv0bt3b1hZWfGHYEnoO4gOxSyBLMto1aoVPvnkE6SkpMDFxQVPP/00FixYgPnz5/O4Ido0+yypsxUXL16skzeNRiMePXqEhw8fAhqZO3TogNatWyMhIYF/p0oR9rrROcWV2AeSX27ZsgVLly7FL7/8glWrVsHf3x+S8MajpO7xRD0Ps7m5uYiIiODyKOrLXPHx8Rw/2biqqgqrV6/GjRs3EBwcjGXLlsHb25vToLrJycmorKwE1HxrsVhw9OhRTpN0T3jJduSDlEuonPScnZ2N6OjoOuWPHj1CQkICxwV1jFFVVYUlS5YgLi4O27dvx3vvvQcPDw+uV+JVqyeoOqLBlsFgwEcffQRPT08MHDgQHTp0gL29PXbs2MEfAGXNtgr6TUlJQXx8PKejKAru37/P94R5enpi3rx5OH/+PBo1aoR58+bhzp07XA8SDaxEpASKGiiK8DQuOobogOTcVFc0Fj0Zi0kDahAQPeIBAGbOnIlZs2YhOTkZNepXclu3bl2ncxJ5Jpy0BEF4FGEAyBhDp06dMGvWLCxevBgLFy7EO++8g86dO+Phw4coLS1F//794enpCVlNtBQQUDtiRXhTUq/Xw2Qy8SlbnU6HBw8eYOnSpbh69SqKioqQnp6O9957j38XivCJOqQ174sXL+LChQvcUR48eMD3cNjZ2eHGjRvIysrictPslehYdE9MYtSJkD4M6ivaBCJfYhltZm/Tpg26du36uzqEk8pkzQCNbFJaWorXXnsNa9euRWZmJiwWC3bt2sWDmnCJScfe3h79+/dHRkYGdu7cyevl5eUhIiKCyyYe6enpyMjIQPPmzeHj48P5kCQJbdu2xaBBg5Ceno5Lly6hpKQEVlZWUNT1eLPZzPcHEj69+hYJJQJZltGxY0e8+eabePToEbZu3VoniAhKS0tx9epV3unRQQMXqs/UhFNVVYVvvvkGjx49wltvvYWOHTvyNuS3FFtQbZibmwuLOgsMVX80o6rX6+Hm5gaoT9SkU+KR8GljkYAGQtSO+ISa9CimLOrHLBcsWACj0YiFCxdyukOGDIHBYMCNGzc43tzcXCQkJGDChAk8j/wRkF9J6iA/OTkZ7du3R+fOnbl+dMJr4UzwYzoXcwMANG3aFDU1NQgLC+N7n2RhCYP0RIdOp0N1dTXu3r2LHj16oE2bNtwuiuYTLJQLRT2Lsjx69AinT5/GuHHjkJ6ejtLSUnz99ddo2rRpHR516uyhWX2yHzp0KADw76lBzUXXrl3jNtIJOTo7OxuJiYkYMWIE75BJFx06dMDAgQMRFhaGkydP8j1RJAMAPHr0iOdC2i4AYbsBHUSP8g/lFZP6CQN3d3dcu3atzotJNHgV/Yp0qaiDAkVREBgYCAcHBx53tbW1PO+S/sl2lGtE29+9exdHjhzBl19+iZqaGuTl5WHp0qW8DyIZzOqeNovFAmdnZ/Tq1QtXrlzB+fPnATV/PHr0CGFhYWjcuDEIiF7fvn0xZMgQ3LhxA7/++iuKioq4DxAdRVHwww8/IDY2lstMOCRJwuXLl9G1a1d06dKF24AJA0fKTcSPoihwcXFB9+7dkZOTg3379vE3vysqKvDw4cM6b2QTPzk5OUhLS0PXrl3RokWLOvFNfD311FO4evUqrl27xn2jsrIScXFxXGYA/OUhi7q5XlH7eKb2i5RbGWNwdXVFp06d8PDhQxw8eBClpaWAmicfPXpUR2ekk5ycHGRlZaF3795o0qRJnfisL4dC9TsC8pHq6mp8+OGHeP/995GamoqSkhL+Ty+UO8mPJTUGfHx80K5dO0RHR+O3335DdXU1FLWfSEpKQn5+Pi5fvoyYmBiYzWY0b94cixcvhqy+2U+TH4yx/3grkBBLqlNkZ2cjPT0d+fn5CA8Ph6Ku7aanpyM3NxePHj2Com78Nqv7YqqqqrhzSML6fVJSEoqLi3Hy5Em+Vk0KiYuLg9lsRkJCAjfc2bNnMWfOHAwbNgzPPfcc5s+fj82bNyM8PBxQZ2sSExNRVlbGl2nM6vS4RR3xGgwGODo6IicnBw8ePEBiYiLS1deuZTURMjUB0xtUV65cQV5eHi5cuICoqCgUFRVh//79uH//PuLi4sAYw507d6CoSbW2thZGo5F3zvHx8YiLi0NgYCBGjRqF1157DR9//DF+/PFH/vHEsrIybuTs7Gx4eHjwqf7XX38dU6ZMwdKlS/mbOV26dMGrr74Ko9GINWvWICIiAgUFBbh16xbKysqQnJzMB6BMM8hxcXGBpAZvnPoF+rt37/I3ZchJ9erT7YMHD1BSUoLU1FRYW1vDxsYGiYmJiImJwcOHD3HlyhWkpaXh8uXLuHLlCuLj41FUVISEhARkZ2dDUb/tYlI3viuKgpSUFBQWFuKFF17Ac889h+eeew5Lly7FunXr+OwRUzuempoaxMfHw2AwoGfPnujZsyeWL1+OgQMHYuXKlfjggw8QFRWF7t278yCEGqRHjx7FjRs3+GvCpAsKspYtW8Ld3R3ff/89rly5gpqaGlRVVeHGjRuorKyEtbU1r19cXIzDhw9j2rRpYIxh2bJlYOpespUrV2LkyJHYuHEjJk+ezAcP1dXVuHXrFr7++mtkZmZi0KBBiI+PxyuvvIKnn34aV65cqTOYkNWHitDQUJw4cQIxMTEYPXo0DOpHUqkjktXX7WVZxqFDh2A0Gvmr5TSLQLF769YtTJ06FQ8fPkS3bt3Qu3dvLj8dxAPFJ+mKdCkL+xUpoRHo1CfY9PR0/PTTT3jmmWdgNBrx/fff831LJpMJPj4++OSTT7Bjxw5ERkYiKysLwcHBsLOz42/RUqw/CShHSOq+KRsbG8THx+Pu3bu4e/cu98WzZ8/i2rVrSEhIQGlpKZKTk/lsIr2UUlVVBUVRMHnyZAQEBGDWrFn8I7Bnz54FAOTn5+PatWucLybMMOj1ety6dQsJCQmIj4/HmTNnUFtbi1u3buH48ePIycnB3bt3cf/+fZSpn9moqalBbW0tKisrUVNTg+TkZFy8eBELFizAiBEjMHr0aHz44YfYvHkzkpKSeE65d+8eqqurkZycDEn9fEdQUBC2b9+ODh06YP369Zg3bx5+/vlnDBgwoI6uiouLceLECRw/fhze3t7cxygPW1tbo0mTJnB1dUVoaChOnz6N6upqLi/Uwbis7lXMzc3F+fPnERMTg9zcXOzbtw937txBbGwsTCYTwsLCuL5y1TfCq6ur4eDggPXr1yMxMRFTpkxBTk4OSkpKeNwlJSUhOTkZTOj4oX6dPS0tDbdv30Z2djbOnz+PuLg4FBUV4cSJEzh//jxKS0uRkJDAN1SXlJTAov5dGOWEsLAwnDt3DhMmTMDzzz+Pl156CWvXrsXOnTtRWloKi/opl+TkZKSkpKCsrAzOzs4YPnw4ampqMH78eLzyyitYvHgxNmzYACcnpzofTaac6erqinfeeQfjx4/Hli1b+Pfc6M3qyMhILF26FO7u7vwD2Exd8iS53d3dER0djcjISFRXV+Prr7+Gou4L/Prrr1FaWooHDx7g3LlzSExM5PHaokULjBw5El999RWGDh2KpUuXYu7cuTh//jx69OjBcwKBtbU1DAYDwsPDkZycjPv37+PixYt8I/fp06cRFBQEb29vvP3223jnnXewdu1aPP/88xg0aBD06qxh8+bNsWXLFpw5cwb79+/Hnj17UF1djUuXLiE6Oprr6N69e0hOTkZMTAx/S/rLL7/ECy+8gI8++ghvvPEGoqOj0aVLlzr5QFb3i+r1ely7dg2ZmZl48OABrl27hrKyMty+fZt/m9BkMiEqKgpVVVXQ6/Wgt07Lysogqy8GHDt2DDNmzMCwYcPwwgsvYNGiRdi+fTvu3r0LqFuHaHySrv5jxVNPPYUePXpgxYoVGDt2LFasWIHXXnsNGRkZaNeuHaqrq7Fr1y6cOnUKFRUVuHv3LmpqatCyZUvY29tjwYIF//Fwb7FYmNFoZIwxlp+fz9555x2m1+sZAAaAeXl5sYkTJ7JXXnmFAWCSJLGmTZuyGTNmsJEjR/KyNm3asMOHDzOLxcIURWGKorBffvmFdenShUmSxACwnj17spiYGGaxWNjMmTOZs7Mzp/PLL78wk8nE5s+fz7p3785kWea4ZVlmPj4+7Pjx46xv374MAJNlmbVs2ZItWrSIdevWrQ6NkydPsosXL7IBAwawfv36sdDQUEZgsVg4j4wxVl5ezpYuXco8PT1Z9+7d2blz59i//vUvFhAQwP71r3+xMWPGMHt7e87nmjVr2IgRI/i1k5MT27p1K7t//z4LDAxkHTp0qMO3lZUVGzduHIuIiGCvvfZaHR1u3bqVVVZWspMnT7IhQ4YwGxsb1r9/f3by5ElWXV3NzGYzs1gs7OjRo6xXr15Mr9ezF154gS1ZsoQNHTqUbdq0iT1+/JiZzWbGGGNms5nrPicnh3Xt2pU1bdqU7d69my1ZsoTpdDomSRJzdHRk8+bNY2azmUVFRbGuXbsynU7HZFlmw4cPZ3fv3mUHDx5kbdu2Zf7+/iw4OJgdPHiQDR06lM2YMYPNnz+f+fr6cjtMmjSJTZ48mXl6enK9zJ07lz148IC99NJLrGfPnsxgMPB7siwzZ2dnlpeXx1atWsX9zdbWlk2fPp3V1NSwe/fusRkzZjBHR0fm5+fHgoODWVlZGbchybpx40Zu+9atW7MDBw7U8cHg4GDm7e3NaQNgY8aMYY0bN+Y+BoDpdLo6Ng0KCmJXr17leBRFYWazmZWWlrJvv/2W+4AkSczDw4NNnTqVXb16lftXREQEGz16NHN1dWXLly9niqLwe6L/kTzidX1gMpmYn58f55FkpsNgMLCnn36abd68mRUXF9dpS7yTn4h8kI+JOn0SBAUFMXt7ezZ48GB24MABVlxc/Lv6ol28vLyYXq9nr7zyCnv48CG/Z7FY6rSpD6heVVUV279/P2vfvj1r0aIF27p1K9u/fz975pln2Jw5c9iWLVtYYGAgk2WZSZLEevTowd5//33WsmVLbt/evXuzx48fs3v37rFx48Yxg8HAmjdvzo4ePcoaNWrE3nrrLRYXF8f1RDJVVVWxo0ePMn9/f+bn58e2b9/OTp06xTp37swmT57MPv300zp2eO2119isWbPq2GXRokUsLCyMTZs2jbVo0YLZ29tzvmRZZk899RRLSEhgs2fPZnZ2drzdxx9/zCorK1lhYSF7//33mYuLC7O1tWXvvfceKykp4fYym82svLycbd++neecDh06sJCQkDo+t2nTJs6rJElMkiQWHBzMZVUUhVVUVLDly5czT09P1qtXLxYSEsI2b97M2rVrx4KDg9nLL7/MbG1tOY5PP/2UjRgxgkmSxAwGA7OxsWEbN25klZWVbM+ePaxp06bM0dGRvfbaa2z58uVswIAB7Mcff2Q5OTnMYrEwk8nE6T98+JDNmjWLubi4sHHjxrGzZ8+yBQsWsM6dO7O1a9eyZ599lvMtSRL77LPPWK9everoOjY2liUmJrK+ffuyZs2a1elDJEliL7zwAissLKwT6wEBASw6OppVVVWx0NBQNmTIEGZtbc169+7Nfvnll9/FpjaO8/Pz2Z49e9jw4cOZi4sLkySJeXl5sZdeeomdO3eOVVVV8XYiHrPZzO7cucM6duzIZFlmH3zwAcvNzWU9e/Zk3bt3Z6dOnarjW23btmUxMTHcPx8/fszeffdd1rhxY+br68uWLl3K0tPTf0eH+Pzll19Y165dWaNGjVhwcDALDQ1lvXr1Yq+++ipLSkpiiqKwS5cusT59+jAbGxvWsWNHdvXqVWYymTieixcvMldXV2ZjY8M+++wzlp6ezpo3b87Wrl3LsrKyWEVFBfvhhx+Yl5cXGz9+PEtKSmIWi4XFx8ezuXPnMnd3d+bv789WrVrFMjMz69WLoihs//79rG3btqxRo0bs66+/ZidOnGDt2rVjU6dOZatXr2ZeXl7crkOGDGGrVq1iVlZWTJZlptPp2NixY1lpaSmbMWMG1y/Vl2WZdevWjV25coWtW7eO+4IkSWz27NmMMcaio6PZ66+/ztzc3FirVq3Y5s2bWV5eHtdBUFAQc3Z2ZrIsszZt2rB9+/ax8vJyxhhjixcvZh07dmSSKg8swl8RWITX9cUnXaDuNDeE6TSd8B90BEwz9Sveg9qW8EuShIKCAmzevBkrVqzgT8iyLCMjIwM///wzPDw8MGPGjDpPD1reRJpUBs3GYjxhj5CkWZYS62rloidCRX26j4qKwuPHj/Hyyy9DUZdH6TMRFy9exNSpU9G2bVvIwr4n0hmesDRKTzZiuSTsB6JzcfZBrKc9xxNeJoAwxU0zJaJ+RJ1qccnCOrvIk6y+FBAWFoaXXnoJzs7OnGZ6ejqWLFmCN998E/379+e0SCdaWZ7kg1RfLBOByohnUSfiPakeu9M1nVtp/hZB5JH0pQhr/ASnT59Gfn4+Jk6cCAhxQkD0oeIW+RBpScKeILE+2V8Los9SexEf3Se/Y6q/EW/i/frOIfgW4SMcZH+6pvr/WSD9En864U1O+oXgo6QL0R6iTYl30iPxr+WX2hFdkY74K9qc5K/PTyMiIlBUVIRu3brBy8uL309MTMSiRYuwfv16dOjQAdDkI5G2aGdR/wRkN5JJlEcLFmFflmg3aqutC80eTAi0iS+TycRzB1NjVjynuBB1SryRHrW+QnVFXiH4M9lTEux/9uxZ2Nraom/fvnW2PkRHR2PmzJn8VXsxTkUZRT0T/wRavqmMykVexfpQeSb+6VqUlWTBE3I06ZH8UtQd08QG4ZCEt+XEXG0W9kGJdCHwKfIr2o+A+BJ5E/VCdSDoUeQbGp8l2USeRL60+RmCjCIfhC87Oxt79uzBe++9B0nYNvPgwQP8+uuvCAgIQFBQEKcl8laf/aCJTQKLujVC5F2WZchG4b91SPnUiVC5Us/SAAE5ISEUBSWFEoh4aOOgXl2/B4A33niDv5Yr3nN1dUWHDh3g6+vLFaBX924p6t4nUjLREXkQZVDq2btCiqc9ApLa0VJ9s/BWBNEhuSRJQlJSEqZNm4bWrVtzPTDGYGtri1atWiEgIIDvQSHetE4IYT8E8Uz0SB8kH+kc6v4HRdhPQnoVD8JLbUkHkhBEOvXPSbU0oUkwJDv5CgTbk45lWUZRURFmzJgBKysrvu5O4Ofnh9atW8PX15fzpBO+Hm0R/q6GcNM1AclmruevWcRz4p1kpoPuEc+k79raWjDh6+JQdUw8EV3iS9QXJUOiVVhYCJPJhCZNmtSpSziIV1G3FHtQ9U62ZsKghakDMOKN7pNcJJsoP9UnWmQ74oeuZTXhUnyJZXRO/kZ6IN50ahLXCR8ZJn5p6VJrxyeBSEPEDY2NiS/SndhO1B2VEa9kSwgb3ckHSEaqK8pP5aL9Teqf/hKPTNjn9ejRI6xcuRK5ubnw8PDgMjDG0Lp1a3Tt2pV/WkPklXAQEG9aHuhajCFZGCQRP1Sf9ECglZvuMdVWsuaPyqkcqs4pR1PuoP6EdEjtCadIn/gRaVA9SfBjqiuCmB+ofmxsLObMmYPmzZvzOKJ27du3R9euXSHV8x925Ot0j2SltiQ3NIME0QakR1nYw0jt6JCFzdsERvXNXqpL/Ij0SA86YfKC5IbqGyJOJsQgxR/JxzSfcBHlgaBXCHFPexlFIFzEhxhr4j0tfvJprd5I73RfyxP5gVl4s5L409avrKzEnDlz+MM86VSWZXh6eqJ9+/Z8DyHZnviH4FPUViw3Cy/6EA8G9bMjEGyh+/TTTz8hJKJyxF9ins6JGBEW74tOKJbRL7UnQxOTkiRhx44dOHLkCNzd3VFTUwMfHx9cuXIFERERSE1NxaRJk4B6+KPgJhpaZYjloqGpHilIL/ypKTmmyCs5igiK+qr/t99+i7i4OP6ZBpPJhGvXruHWrVvo0qUL2rdv/zveCAin1knIJvW1kTTBTrokXYgyikFFdcVDBKJJ59q6lASojiTYlPArioKioiIcPnwYly5dgkH9L0gbGxvExsbiwIEDCAgIQL9+/X4ns6I+HREeoiPaGBqdEW0IgSsC8Uh1JCFpirqTNElNlFsWkiLpiPglX6FrWZaRnp6OW7duoUmTJujbty/XDeGtjxcCUU6RB1EOwgWhY30SEO+EQwSiL+qHZBTpEoiDCPEe4dHWp3NK5tr7TwKSVdEMBiShAxJ5pjqijsW61J7aiHGllZ/q0X3SB+El/dOvaAuRJmMMOTk5CA0NxaVLl2A2m2EwGFBZWYmkpCR8++23GDRoEFq3bl1ndoXkFuNW1JmoC/EXAq/avCHqQBJ0S23EX6or5j0RyPeprngu6lFbj+CPfJF+qZ1oB/GXzuk+U/8M/dChQ4iMjIRB/d5VaWkp7t27h82bN2P27Nn8+3lmYUZa1C/5AoGWNtm8vnLxviy8LSfyKLYXc4dIn861IOKCEPciXrGuyAtd0z3iTZRDi5/KtfYXdUTtRPp0X6dZkSG8og6IJxEX8UFAeCRhBk68L9pPVt+Opb+3cnNzg8lkgrOzM65evYrIyEiUl5djzJgxHK+YO7SyizojXYqyK5qBJZWDL27+N4C4vmo0GllpaSn7+OOPWUBAAJNlmVlbW7MXXniBHTlyRNv0vwWIX+1RVVXFbty4wSZNmsScnJyYXq9nLVq0YO+88w67d++eFs3fBrQfQNxr9e8CcW8K0b537x776KOPmJ+fH9Pr9czBwYGNGzeOXbhwge+v+Hfy2AAN8O8A7X62O3fusKVLlzJ/f38myzLz9vZmEyZMYBcvXmTV1dW8XUM8/N+BxWJh58+fZ7NmzWI2NjYMAGvVqhWbPXs2S09P5znHou7xE88b4J8NYn9cW1vLsrOz2TvvvMP8/Pz4nt5XXnmFnT59Wtv0bwGJiUPGfwOII0DxHMKyhFhGv/WNyv87gWnWlY1GIwwGAy8jfknOP5pR+K8Emn0juvRU83cDyQvBZgR0TU8GxBvNsDVAA/xvBNHfxWvUE6divQb4z4OYe0S9k55NJhNfsqG88z+tT2mA/xyINteei7Gm/f132P3fPrASQSQtCg1hOpEU9Xcr4q+CyDPxRdOT2ilS0dj/LqCpVwKtU/0dQGvgsmYzpEV4IYLKtJ3N38lXAzTAvxu0MV/fkgsBxSrlNoqXhpj4PwPSvZhvCMR+hOyhvW6Afy5o407sp/87xhL/rQMr1DPTIalPGdQh056Z/0kzG+IAimk2MIqyiGvsf7cxxSdgAq2z/TuAdCEmL7omqK+sARrgfxPUN6AivxfzhwgN8fB/B9RfaPMghLwkdrAiaOs3wD8PxLEE9bmKsA/t3zmW+G8ZWP1Rxyp2zOIvKa2+hPTvBpF/rSz1GVe8/3cCbcjU0vx30BYTmiK8UcXUJ0KxTGpYDmyA/6WgjT1xBlcESX2jVdvRU2w0wH8OtDPh2oEtAelazNEN8M8FbbyJ5dp79Ev3/k7b/7cMrPAHCqF7omII/h17hf6zQHxSwNJggsqgBv3fzbuoK9GBxOu/C0Q6f4WmdpDVAA3wvwXqi0PtvX93fP6/AuLSqqQOqiRhn1V9em+wwT8f/siG1BeLcYl/w1jiv21gBU0Sqg9ERZFy/s5R5l8BcXkPKl/apUGRR7rPNB+l+7uAkojobGbhA5d/J4hPjZZ6vp8iQn1B0AAN8L8N6lsaF2NT0rzOTmUN8H8Oon61ZfWVa3N2A/zzQNu/4A8Gzv8Om/99mJ8ANMiAkES0BxNme5iww//vVMRfBXHqngZZ2m9YkOFIVp3w8cu/G3TqRxkVRYG7uzvs7Ozw7bffaqv9lwLJK9pPVr8LRnpAPc6tCB82bYAG+N8A2tinmKB7lMe0M9tULsZIA/x1IF0yoYOtzw6iLaju/4R+pQH+8/BnYwkxvvBvHkvIRIyYpE4ZKiM08yA6ouiw2o5RFFbERSDO7Ij46ByqkkQ8ImjrUplIR+RXe1jUT9BDwyudaw8tH6LhtAMq7UEJ9D8DWnoQ5CFbiGV0QNW3Rd34Hxsbi27dusFiseCtt96qw7N4rtPpMGLEiDr06gPyES1odQPNRzpJB2RTEYgPra5F/3uSXcX7ou209eo7RKhP3wRM4/9iuchjfYfIt1Z3Ij5tGy0esZ7Iq7aOlgaBeE+Lk+7Xd800uQCCrrS/ImjL6Jp8QktPCyJ9LQ/ae9DQ07b7ozra+uIXp7V02B/o90mgjXvyddGfKF7ovkhLpCmWi0DldK71VUX41wix/M9ApCni/6vttW3rgz+Sh+6JclAZtdHmQqoHzUzFkwarZA+6xzT/TiDyoQVRtif5hViHrv9IJqovxkltbS1v3wC/hyfZlkDSDKC0138nSBaLhWmJkZGpnAxPDkvllCgIRMbJ2WThv8Oork794ikpRtx0TfjF4KBzk8kEKysrPngQaUAIMFn4Swpx8GMRvpNF8tRnGJG3fxeIwUl8Eb8kD5WLeqFyLXz77beoqKjAwoULuU5Jv1r8f3W9WWxPdEXeCOjcaDTyr6hD/Wo3fUGddKzFK7YnOQmoXPRH0XdFvZjVvyyhGTyqS3XIh0RZRBnENoSbaNanA5F2fXWpPqvHFqIMBBQzkvo3IeJSrpa+8hf28JFsRFerN8JJoLUv1Liiv30SZRZBEva0iHFENKgOAVM7F8JHeUBbTxG+kEyyUj2RP6JF7amN1gckwSaijcVrwi3W/TM94094FfkTy7TlIk2xDgHpk2TTzogTDyJ90u8fgZgjIdhALHsSMOFlFKJH5Vo+8ISHbK3uqUy0oyw8sIpxopVZC0+SoT6+Rf8muiQH0dLaxCL85yD5EdmovjZa3omu2WyuY88n8d0A/3NBMpvNTHQAAtEJyOBULgZKfUDOKbYXgRwVTxh1Em2ozqdNGlRHUf/+5EnBAE3yonaoZzAm3ie+tY5P5X8XEC/1JZT65NGWEZjNZowdOxarV69Gly5dficj1DZ/lISeBFr9aW0lJj0CUY9EV7QVnZMNISQ70oGYmEX81I7waP0WKo90T2yrCL4sqf/5Jg78RDziPjWtvkWwqDMsWp+lNjrh7xlIb8QH0RV1SPrWymTR/Pm2VkcEWh8hGtr6Im7RBiIQLmi+XSbi1gIT7Eg0qI1FM7BX1BkW7f+8ET8ifsofoj5FfkU6oq4JaOAtykq6obr0S/oim2pxiaDlWbQtBDoiDi1dArEd+QXqyYlMiAHCI/o5gRZ/fSDaUrTbnwHZU7Slrp7/sBP5Ir61MUmyavVCeqMy4s+iDnroP+3ovqQZZP8VEHVJoI0H0SZUruWRgAn5TuRHvE/1acbMysqqXt00wD8HZHIEMjwdOuE/jMghmDprdO7cOQwdOhR2dnZo3749fvrpJ1RVVfGggCahS8KInHDJmn0GFBwQBluS8N9tivAnyuSosvCHl4SLgNoQP2b1zxNJVsJFvFksFmRmZuKpp57C8OHDkZycXEdu4unvAkVRUFhYiH379mH8+PHw8fGBLMsYMGAADh48iLKyMs6PqE8R6Lq8vBzh4eHo3LkzjEYjamtrERoaitdffx1NmjSBXq9H69atERwcjIKCgjo4ngSkT+LBYrGgoKAAv/32G0aNGoXNmzejrKwMsjqrQfak5Ec4SP8Ekjq7ROekbyYMeGiwo+WF5E1JScGSJUvg4+MDLy8vzJo1C88//zwmTpyI2NhYyJrZE0XtwEXcTHi5gPwkPz8fe/bswYgRIzB16lROl+4TT8Svona+eXl52L59O6ZMmYJt27ZxPslH6VeUgfyZeCDdkb6IBt3T6XTc9yXhP7REvxb5ozgoLi7G8ePHMWbMGCxYsABM6OjpIL7onNoSbqJPeiW+xHOyP/FGuEVZ9MIfqRuNRqSlpWHx4sXw8fGBp6cnFi9ejJycHC4D0bCogyriT+T9pZdeQp8+fRAXF8frQfjzVjp06jI44SV8JFd+fj5efvlldOzYEenp6VyXpIsnAfkY6UoW/pyX/F7SdPiEUyyjQ8RLoBP+3FqUnzGG0tJS7NmzBwMHDoQsy7C1tUWXLl3w+eefIzMzk+OoD0Q+KG5J36Ke6gNJjSVodEQyMI3fi74i2oXwkB7pIPmpDlQ9TJkyBX5+foiPj+c5nkDk+8/41+qSaJJ9tm3bhubNm2Pnzp2cf7KpaF+yA+kQwh9op6WlYdmyZfxPonU6HZ599lkcP34cTI0Hsb1o8wb4Z4EMdYkGAAoKCvDOO+/UcS4vLy+sXr2aO+aJEyfw008/Yc2aNbhx4wY6deqEX3/9FQkJCdwZqa4Y/GJiofsUIBBef6SAo3biLzkwOZ8k7BOiNoSfHJOcWuycqSMnfoi3qKgolJeX4+LFi0hJSeF819TUcNx/F8iyjC+++ALz589Hp06dEBMTg8TERDg6OmLWrFk4ffo0amtruTxaXRIOxhgiIiIwaNAgroPQ0FCMHj0aiqIgMjISWVlZGDFiBD777DN8/vnndZJRfSDaKzo6Gg8fPoSsDk4rKiqQkZGBqqoqWCwWPo0t6pbakx0pWUlqB6S1n5iYCafIgwiPHz/Gtm3b4OLigrCwMCxduhTXr19HWFgY92EIfDChU6V7YpKnulB9skuXLrh8+TKMRiPHR/zX1tZyebKzs3H9+nVYLBYYDAYUFxcjPj7+d7JA6GREeqQLUQ+kF23CJ5z0hE5tqDMkuahM0iz3Go1G5OXloaqqite1CAMy0pV4TThE/ISbZCH+RD4o1ogXko1o0OAwPT0d//rXv9CkSRPcvXsX77//Pq5fv47Tp09zHVM70X5UDsGONLAX+SUeSS6RFwK6ZoyhpKQEZ8+eRWFhIX777TeeP0Q91gei7eiaDsonJA/ph/gTdUa+QvKJOqdrkX9JfRD4/PPPsWHDBsybNw8VFRW4c+cOOnfujJCQEDx69IjXrw/IdlD1THYUY+VJIOqV5BHjSqsDOqCJd6qvCMup1E4ERVGQlJSExMRE5Obm4uLFi6iurq5jH5HvP+Mfgo/Suej/VMaEh2yqoz2g0qN2AHD//n0EBQUhNjYWBw8eRE1NDW7cuIHExET+8GURZiL/Cr8N8D8XZFl9SjabzXB3d8e6desQEhICf39/dO/eHSdOnMCHH37IAzciIgIVFRVwc3ND586dceDAARw6dAjdunX7XQBQB1tfsFDQ0X3RkamupCYfSqRa/NA4oPZcEWa5KJFKwiBLvA8Ahw4dwoABA+Dl5YX79++juroaAGBra1tvIv6vBkmSMHbsWEydOhVeXl5o0aIFgoKC4OHhgbS0NFRVVXFdUX3iXdTtlStXMGrUqDoJwd3dHV9++SU8PT3h6emJGTNmwN7eHuHh4X/aWZAdAODs2bMICwuDoijw9PREjx494O7uDp365qPYoUCwoyJ0KmR3CE/fRIdp9jHo9XpuL9G+1D4qKgp37tyBj48PfH19sWjRIsTHxyM/Px979+5Fp06deBtqT50Z8UJ+IR4A4OLigoCAAN5ZkEzUYVtbW0OSJOTm5iI0NBQFBQWQJAlubm7o2bMnvLy8eBIm/RAe0odFfeGArqku1SN+LOoAkzo7RY0f4o10Il5TGVQ7mM1muLq6okuXLggICKjDC8UY8SPqQuzoyc9ID3Qfgv3IzoRXUjsZ8g2SV1JjUa/XIzU1FefOnUOrVq34bNWtW7cwffp0Lg/RFnkgmrTR99dff0VkZCTPRxS3Wt8jXkhGMVaqqqpw7do1DBw4EM7OzoiKiuJ4iO6fAdEh/NDEEYTlVEldhia5yBainOR71PESSGqclJaWIiQkBPv378fChQsRFBQEGxsbtGnTBnPmzEG/fv24DZ8EZA9ZljFy5Eh89dVXKCsr4/YiHp4E1F4SHhKg2o30rfVHKhN1Qz5O9qJ74n1JknD69GkMGTKED8arqqr4AxDVI77/iHfRV8lfSQbicc6cOXj8+DFmzpwJCL5I8miBdC1JEoqLi7FkyRLk5+fjX//6FwIDA6HX69G7d29s3LgR1tbW/IFUlJkJA70G+GeBTI5ISdXGxgYBAQFwcXGBq6srevXqVSfRU6dE1xBmpsQAIcekINEGEdGjdpRktInEaDRyZyNHpsChMsIt0oPq1NoEqghLCZRgdTodHj9+jPLycrzyyivw9vbG9evXUVpaynGSDv4uUBQFq1evxo4dO9C8eXPOV6NGjeDo6Mh1oE0QJCvJCQDHjh3DgAEDeFIZPXo0MjMz4ebmxuvY2trC19eX6/CPgOr8+uuvOHDgAEpLSzkfoi20/JFtIdidcDEhYVIyFgc8BJTAqI1obwg2Fm1DfkUH0aE6ok+Q31ESJntD5dlkMtXxI6hyGY1GKIqCsrIynDlzBps3b+Z0qfMjnulc9E+Sk+xMMWBWZ+eIHwhf1KeBK/kt8SXKKKsdUm1tLW9PdtAJg1itbkQfEG0g8mgRZiNIdyQv4RPjXKRVW1vLZSKeSV9Uz6KZnSRZRD61B7W1trYGVD0TTaoDYVZeVnOMaBvig9qWlZXh5s2bGDt2LPr27YvY2FhkZ2eD/YXlGdIdHaJfEX7igWwJdfaR9ArBZqQDKiccJBv5b35+PkJCQuDn54ehQ4dyeyuKgj59+mDdunUYPHgw5/NJINqFfJ74IB7qA7pHclIbMa+TzhXNTKioJyoj/RCI9iF/O3v2LHr27ImBAwfixo0bKCoq4rO40AzY/oh3CHYj2SVJ4st15CfEg2gbrT0IKF4URUFUVBTu37+PKVOmwM3NDUydVWWMISgoCMePH4fBYOC+DGFgRv7RAP8skK2srLjTi0na1tYWEALlwIED8Pb2xhdffIHjx4+jdevWmDJlClJSUngAkJNBXaJZvXo1AgICIMsy3N3dMWPGDKSmpoIxhvz8fKxduxZNmzaFLMto27Yt1q5dy3HI6hLchg0bOA5HR0e88MILuHLlCqB2OBEREQgKCoKDgwN8fHywePFipKencz6qqqpw+PBhDBw4EA4ODrCyskKXLl0QGhpaJ9hPnjyJli1bIiAgAH369MG1a9dQUVHBOxUIg72/A8QkQwGsKAqKiopQWVkJNzc32NjY8PqKMEAUgz01NRUODg5o0qQJICQhLZ2amhrk5eVx/f8RSJKEixcv4vPPP0dMTAwWLlwIa2tr/Pjjj5y2xWJBeHg4Ro0aBXt7eyxcuBD5+fk84ZSUlODdd9+Fg4MDDAYDJk2ahPz8fJjNZpw/fx5vvPEGZs2ahYcPH2LChAmws7PDmDFjkJSUxPmzCEsTMTExGDduHIKCgnD69GlMnToVrVq1wq5duxAWFob33nsPixYtQlxcHCoqKhASEoLhw4dj27ZtOHPmDJ599lnY2dlh3rx5KCgogE4dqJSXl2P16tVo3LgxdDodZs6cyW1CPFDSNRqNuHDhAubNm4eYmBi8+uqr6NatG3777Tfepra2Fr/99hv69OkDLy8vbNiwAcXFxTzOYmJi8PLLL8PBwQH+/v5Yt24dsrOzeeKG2ukCwOTJk/ksGdnEZDJh7dq1kNRl+9u3b+PBgweYOXMm3NzcYGdnh6FDh+L8+fMcp+gP2dnZWLhwIfR6PVq2bIkDBw4AAN59913odDp07doV58+f5/mBbGxnZ4fmzZtj48aNKCkp4X5F+YSpm4ktFgsuXLiAvn37wsbGBv7+/li2bBnKy8shyzISEhLQv39/DBkyBA8ePMArr7yCbt264eTJk9zeFBcAcP36dYwfPx5ubm6QJAktWrTA+vXrkZGRgbfffhtOTk7o2bMn7t69C8YYPv/8c3h6esLGxgZRUVFYunQpnJ2dYTAY8MEHH0ARZh1kdSCdnJyMS5cuYdiwYRgwYAAKCwsRFRUFSRjIPQnIrgTkV6dPn8bIkSPh4OAAnU6Hjh074sCBA6ioqAAAXLx4Ec899xxsbGwgyzLGjRuH27dv84cNo9GI27dvY9y4cZBlGQaDAU2bNsWyZcvAGENubi5u3LiBxo0bo2nTpnV0RjYX83N9IOZeCFsmRP9/EjDGUFNTg3Xr1qFVq1bQ6XSws7PD+PHjkZiYCFmWUVxcjK1bt6JDhw7Q6XRo0aIFVq9ejYyMDK6n3NxcfPPNN+jcuTNkWYaTkxP69++PS5cucTqMMVy9ehXW1tZo1qwZnnvuOVRUVCAxMZEvzxOQLH/Gf05ODt599134+/tDlmW4ublh2rRpiIyMxKFDh+Dh4YGWLVti165dYGp/0bNnT+j1egQHB+P7779H+/btodfrMWHCBNy7d4/H2/Xr11FSUoJOnTrB1tYWTHj4Ev1F9EOymehLDfDPARmap346FM368vjx45GTk4P3338fY8aMwaNHj7B79240bdoUhIOOvLw8LF++HOHh4fjpp5+Qn5+Pd999F/n5+aioqEBpaSnefPNNhISE4MCBA6itrcXHH3+MtWvX4pNPPoFZXXoIDg7GF198gYMHD6K8vBzfffcdIiMjkZKSAgC4c+cO3nrrLTRu3BgJCQnYvXs3IiIisHbtWlRVVQEADh48iM8//xwvvvgiMjMzcebMGTg4OCAzM5M7MABcvnwZPXv2hLe3N55++mnodDrEx8ejpqaGJxxKVvUdfwWYJrnRNR0QnvwkSUJ1dTUuXryI9u3bIzAwkAdlVlYW1q5di/nz5yMnJ6dO8rh48SIGDx5cxx4QkqbZbEZFRQVu374NGxsbTJs2rU5nQTxpeR00aBDWrl2LZ555Bhs3boTZbMa0adP4/aioKFRXV+Pnn3/Gpk2bcOTIEYSHh8NoNKK0tBQTJ06Er68vioqKcP36dZw7dw6vv/46oM5KXrlyBQkJCfj+++/x+uuvY/369bh58yb27NkDVs/yTZcuXXD06FEcOXIEw4cPx/fff4+HDx9izJgx0Ol0ePjwIdLS0gAA1dXVKC0tRVpaGk6dOoXIyEgsWrQIs2bNwsGDB3H9+nW+7Pv+++/j5MmTuHDhAvLy8uDh4cFpQtj3JEkSbGxsMGbMGBw7dgytW7fGoUOHcOfOHYwcORIAUFNTg7t378LBwQHHjh3DG2+8gTNnziAyMhKSJOH27dvYvHkzRo4ciQcPHuCDDz7At99+i/379/OXFcjnAGDLli0YOHAg9Ho9Dh8+jKeffhpWVlZ499138dFHHyE4OBgtW7bEqlWrkJmZiZiYGNy8eROSJGHVqlUoLS2t4xOMMTRq1Ajr16/Hxo0b4e7uzmVdtWoV3nvvPTg4OHD6ly9fRnBwMGbOnImUlBTMnTsX69evx6+//lpnmVoWBkMnT57E66+/js2bN6OyshKbN2/Gzp07MWPGDJSWlqJt27a4ceMGzp8/jzZt2uDgwYOIjo7GyJEjIWk2dt+6dQsrV66Em5sb7t69i+TkZHTr1g3R0dEoLS3FV199hcmTJ9fhmQbYzs7O+PLLL/HKK68gNTUVU6ZMwZdffomYmBiIYDKZEBUVhUmTJsHb2xvdu3eHoiiIiYnhspGc2tglmhDyocViwfHjx7FmzRoMHDgQjx8/RlxcHJycnJCfnw9FUXDq1ClMmTIFffv2RUFBAZKTk1FaWornnnsOSUlJAIDMzEyMHj0a7u7uKCgoQFxcHDp16vS7B8S2bdtCFmYLiRfRJvUdEGbSoOnwRX9hwr44sb3ZbMby5cuxa9cu/Pzzz6iursb333+Pu3fvorKyEgUFBdiyZQu2bduGjRs3ory8HCtXrsSePXuwcuVK5Ofno6amBt9//z127dqFpUuXIi8vD8HBwcjLy0NSUhLnAwDCwsLQr18/+Pn5oU+fPnByckJkZOTv8vWTgOwHAHl5eVi3bh3Onz+PM2fOoLCwEIsXL0ZkZCRycnIwfvx4bN68Ge7u7rzNyJEjsXz5cnTu3BknTpyAm5sbzp07h88//xxhYWE4d+4cKioqwBhDcXExLBYLWrRoUefBiPRO13Q0wD8f+FSFIsyAEFBwiSNoOhRhTZochO6dPXsW9+/fx/Tp09GnTx+4ublh2bJlCAkJQbt27XDr1i1ER0dj6tSp6NKlC6ysrPDqq69i/PjxWL9+Pd84funSJej1erRo0QIODg4YPHgwgoKCIEkSCgoKEBISAisrK7z33nvw8fFB9+7d8cwzz+DevXuIjIxEYmIiny6ePHkyXFxcMGTIEL53gxLStWvXAADNmjWDtbU1OnbsCDs7O4SEhKCioqLOwEUEs9mMU6dO8U5fGyDaY9iwYXjw4AHXkxhI9GsRpqJ/+OEHpKSkYPr06Wjbti0kScK1a9ewZMkSnDhxArt27UJ6ejq3m6TOYvTp0weSGrhGo5HfoyM2NhZff/01pk+fjgEDBvABC+mD5EU9g0FF2DNFdWVZRrt27RAYGAgnJyf07t0bzs7OyM/Ph9FoxKlTpxAQEIDp06fD2toagYGBeOONN3Dp0iXcv38fffv2hb+/P7y8vLBu3TqMGjUKzz//PHr16oWamhpA0AvxJPKgCEuLLi4u6NmzJ/z8/Hhn4u7uzveC9erVC7NmzcKzzz6L6dOnw83NDbW1tZBlGceOHcOBAwfwzTffoF27dnB2dsbSpUvr7aiIDyYsD1Ed0bbt2rXD4MGD0bhxY7Rr1w7W1tYoKSkBABw4cAAdO3bEiy++CG9vb8yYMQNt27ZFSEgIX3oiXEajEc7Ozli5ciVsbGxQVlbG+TEajUhJScGUKVP4EmDPnj3RrFkz+Pr64plnnkFVVRUyMzO5LXXCkqKtrW2dJWcAsLe3h7+/PxwdHSGpOWDnzp14/vnnMWzYMHh6euLNN9+Et7c3fv75Z5SUlNTxMah6Wrx4MWbMmIF+/frBysoKQ4cOxdtvv40bN27g3LlzXF9El3xR1Cv52ePHj5GSkoLGjRvD09MTzZo1w7hx43hsAICXl1edZUFJkuDj4wMrKyvMmDEDHTp0gIuLC2bNmgW9Xo/IyEg+KyRJEioqKrB7926+bObo6Ii2bdvi7NmzqK6uriMj+b4kvAUoAlM71QMHDqBdu3YYP3483N3d0bJlS9y8eRPz5s2Dg4MDtm3bBg8PD0yZMgWOjo58JtBkMmHjxo2oqalBSkoKysvL0aJFC7i5ucHf3x/z58+Houbt0tJSTlPUnSzMVol+KfqWGEdi7NM9ESzCSwF0jzGGhIQEfPXVV1i2bBmeeuopWFlZYfz48UhKSkK3bt2QlpaG/fv3Y9CgQRgxYgTs7OwwevRovP7667h58ybOnTuHoqIipKWlwcbGBj4+PnB3d0dQUBD69OnD9Syry55nzpxBs2bN4O7uzn9PnDhRZ/ZU9CvUs62A5CsrK0N4eDgcHBzQqFEjODk58RxEMjo5OfG9pCS7q6srnJ2d8cwzz2Dw4MFo0qQJRowYgebNmyMxMZHHeXl5OZ99JX1ZhH2btN1FnCEU7zfAPw9kSiqUJETHgxCodC06rUXdM0L3JDW50bS5q6srn/KUhX0s165dQ2FhIXr06AEbGxso6iblbt26Qa++ri7LMubMmYOSkhIMHjwYmzZtgtlsxqZNmzBlyhQ+8+Ho6IgWLVpAlmV4enqiRYsWyMjIQGJiIh4+fIj4+Hh4enrCy8uLy0MbRYnn27dvo2vXrmjSpAkkSULbtm3RqlUr3Llzh+8nooREMjJ1qYOCj6agn3QoioKzZ8+iTZs2IBADXKvD06dP4+DBgxg7diwGDx4Mg8EAk8mEAQMG4Mcff8TKlSvh4eGBw4cPo6KiguP65ZdfMGzYMB6kBoOB4zSbzcjKysLHH3+Mdu3aYebMmdwu4uBMa39qL5bTQJL0aGdnx5cxKIlUVlaCMYbQ0FDs3r0bLi4u0Kl7hdasWQPGGOLj40Hg6urKfYQxhsLCQty6dateehCmzGXh73OkemZfya+hdpTW1tbQqXsg9Ho9bt26hZqaGoSGhsLHxwetWrWCLMuwsrKCh4dHHRuRLZmQ/ETdETDG4ODgAEdHxzq8VldXo6amBo8fP0ZycjKWLFkCd3d3yOpSd2hoKBITE/nAifAbDAYwxtCnTx+MGjUK69at4z4XHR2NIUOGAAC8vb2xb98+rFq1CuHh4Vi6dCk2bNgAnfp5BrIf6Zn0QvKSDKJcZKfU1FRMmzaNL2d5enri7t27uHfvHh8AUycBADdv3kRKSgq6dOnCZzns7e0xZMgQVFRU4NKlS1A0L6yQTuma7McYQ2BgIHr37o2tW7dixowZCA0NxQsvvICVK1eiffv2fN8KgThIAwA/Pz++b4byUmFhIazU7wbV1NQgNjYWRqMRAwYMgKQO1Pv06YOysjLcu3eP5zvSHelIVvMiAflLfHw8MjIy4O3tDWdnZ0jqcinVffToER48eIDevXvD1taW669z586QJAkpKSmwsbFB79690apVK6xatQozZ87E7du3MWLECMTExMDKyooPgEln5Kt0kP8xYU+bLMt4+PAhgoKCuF6o3pkzZ7BgwQJ4eHjwMhsbGxw8eJC/KKATviF27do1GAwGtGnTBpLmZY0adea2pqYGPXr04DpycnKCt7c3KioqUFxcDB8fHzz11FNISUnBggUL8MUXX6C8vBzff/89pk2bxvUdFRWFdu3a8W0Mer0eo0aNQlpaGoqKirgOSR9kf6megb8sy2jUqBFeeeUVREVFISgoCPv370ejRo2wdu1ajB49mrdnwt4oETw9PeHo6MjziSzLqKqq4j7v4ODAacrCgJfo0/4qnTAbTv7ZAP9MkCmp0MzGkxIEJTxKxDp1toqCkYAxhoqKCgQEBKBRo0a8PdT9Pnq9nk+NOjk58bZUx6J28nq9Hi+++CIuX74Mf39/LFy4ED179sSuXbtgUTe50ivRFFyyLGPGjBkwm80wqt9v8vLyQsuWLbksstqBkJylpaU4f/48PvroI/j5+fHACwkJQXR0NDIyMjhPFKSUqJiaYP9KIBBtrW5JP3RIkoSoqChs3boVI0aMwOTJk+Hk5ARFHXySvp599ll06tQJhw8f5t+PCgsLw9ixY8GET1Mw4YWD4uJirFixAu7u7vjmm2/g4uICSXjrkvgR7Un8ysLTOTQznMQ36YPuPXz4ELW1tTCZTFi8eDF/ciNdVldXY8KECXV8i5IxJRrCSwNFkQdR/9ReLCM/UYQ3EsXEqFffhqWOrqqqin8/jHBZhAcHok30iVdKiHQQLYopCAOZrKwsZGdn80HOtm3beEdAR1ZWFgIDA7ksRFdWB63jx49HWloajh8/jtraWuzatQtjx47lunr48CHeeustTJ06FX369MGyZctgsVi4nBZhrxqEZWLSl8gLyS2rMfbrr79ynVDnkZqaiubNm4MJH2mk9jqdDkVFRXU6bU9PT0DYlE86JTmJLpUz1Q7NmjVDcHAwPv74Y0RERGD48OGYPn06309lMBhgZWXF7UJykb3I9qJNqQ7dDwkJQVxcHOfXw8MDK1euRFFREcLCwn7nAyL/xCv5v6Qu55vNZrRp0waenp6/0y09fEDVMz0IURlUP7ezs8OtW7fw3nvv8T2Co0ePrvOZm6qqqjq+JfoN8UV0oOo/ICAAR48e5Q+b5KfDhw/HF198gcLCQs5vRUUFXn31Vf4wzFT7KupeUADo06cPp0+xp6gPnnq9Hvb29lDUF1DIHygnSJKEqVOn4tChQ2jdujVWr16Np59+Gl999RWKi4shqbF2/vx57N27Fz169OC2XrJkCYqKinDhwgX+wgmEmVlRnxBmhRhjcHJy4tsCJEnC5MmTMXjwYO7rhEtSB8UQdKjVK+mFziVJ4jbNysqCUX1ZjNoRH0SDyogelTfAPwv4fwUaDAZATS6K0MFpA4iAyumXDllN2Onp6SgqKqrj5KJz63Q6/tadGPziuV6vR58+fXDw4EGEh4ejS5cu+PTTT3H+/HkAgIODA6ZOncoDlTqG1NRUvPnmm4C6NyEjI4PLonXc8PBw2NnZ4erVq3VkOXXqFHx8fHD58mW+HCgGGCWNM2fO8AD4s2PIkCFISEjgeiOeSL+yLCMrKwtbtmxBQEAAJk6cCFdXV0ATtFB1+frrr6OqqgohISGoqanB2bNnERgYCIPBUCeZ6nQ6lJeX4+eff8adO3ewYsUKPlgjnBbNPisC4tFkMnHbUkISOxXRdtS5ks9YWVnh5MmTqKmpgST4Qn5+PsLCwqAXPtNAfOiEz2sQLdE+xBvpxSws50D1T5361Ey6YGrHT3iooxV/Y2NjYRE2TRNfOp0OJpMJZmG6XtG86UfJlgYMer2e61hM8MS3pC7Lpqenc54URcGtW7dQWFjI65FvMzUmXnrpJXTo0AHBwcHIysqCm5sbnJycAPVbdG+99RYqKipw48YNBAUFwdraGkzzthfxJfIt2k7Ur6QOxkwmE6Kjo3lnS/a/ceMGysvLuV3IhhSPmZmZXG7Sj6zO0DG1A6Y8IAmzLhDyDNHy8vLC/Pnzcf36dXz55Ze4c+cOduzYgfT0dDB1MCsOLMg+Op2Od4qin1ipG+yhzraFhITgzJkzXD9m9QUZvV6P8+fP83ZM9SfRbqJtSafkI2lpafylBfIhRfMgQWV0kC4IbG1tsXLlSjx48ADBwcG4fv06Fi5cCKgzsU2bNsXjx49RVFTE48KiDpRIZuIb6oMB+QKEAShUX6D9QIRH7BNEW5FfA8C9e/c4Tood0o3ZbOZ7X8kWREuM/8DAQBw4cADnzp1DYGAgPv/8c5w9exZQX4qKjIzEN998wx/aFEVBRkYG2rZti9DQUD5YVVT7Eb/EC4SJAaj+aGdnh5EjR+LUqVM4c+YMXF1dsWHDBr4fkmxkUt8uFXUg+oRIh/TdrFkzODo64s6dO6isrASEhxXyU/GcbEQ+0QD/PJDFwLCoT7WyLPOnbSa8dms2m1FdXc2DiNpCSMIA0LJlS1RVVaG4uLjO7BA52pAhQ2Bvb4+bN29yR7NYLEhNTYWiKGjXrh1qamrg4uKCtLQ0GAwGdO3aFatWreKJ2s3NDd27d0dSUhL/OjPRt6gdiL+/P/z8/JCbm8s37pKsFHTnz5+Ht7c3vL29eRJijKF3795wcHBAREQEn/oWA4yS0ogRIzi9PzoURUFoaCjatGlTJ5GQbhhjqKysxLZt21BbW4vJkyfD19cXkjrNvmnTJqSlpXEZZFnGsGHD4Ofnh0OHDqG8vBzXrl1Dly5dIAt7gnTqEtCNGzfwr3/9Cxs3bkTbtm2hKApSUlKwevVq/nVyCB2G6BPiIIGuxfqUrBRhoKZTByKSurfs4cOHOHr0KNclYwybNm1Cy5YteUeoE6bCCR/JSvqnc2pTXV3NP3RJuiT9ko2Jb9IL1aOOggYTAQEBKC8vR1hYGMzqpw8ImDoo0wtLjiJNi7AsTrTpXBI6J6oTEBCAZs2a4fTp04iIiODxlpOTg/v37/MOiOgSHuLrzTffRGxsLCZNmoS3336b162urkZ0dDSGDx8OZ2dnQPPUTvojIBtT27KyMjDVB6qqqlCl/qNC+/bt4evri/379+POnTswq4OjjIwMxMXF8UGzaKP+/fvD1dUV3333HcrKyngnWFJSAgcHBzzzzDOQVN+n5WwIcQzN4O6zzz7DokWLUFJSAjc3N8yYMQMDBgxAbm4u55sG0gTkt+QvZDvqIMmfzWYzTp48idraWgwZMoT7sk6ng4eHBwYMGICcnBwkJSVxPVIME9+En2zPGEPr1q3h4+ODrKws/iakOHjt0KEDvLy8cPr0aT7zLMsyH4zSH6lv2LABixcvBmMMtra2GD9+PCZMmIC8vDwwxuDl5YXhw4cjKysL165d4zxKkoQTJ05gxowZuHjxYh0bkYxUj3RDvko6ovokG9WlcwDo27cvTCYTEhMTAdWGlIMcHR3RrVs3VFdX48KFC5DUeCkrK+MviPj6+iI8PByffPIJTp06BUmS0LNnT0ybNg2NGjXi/cStW7fg6emJgIAAvjzOGEPjxo3RqVMnvpQrxp/IiygfUwd7sbGx6Nq1KzIzM2EwGDBgwADMnj0b1dXVKCgo4Lj06ooLEx5u6Zz0Kh7kI88++yycnZ1x6tQpvsRP/vjVV19hxIgRdSYg6FfkuwH+WSCTEc3qU3ZtbS3y8vKQm5uLgoICREdH88SRnJyMGzduoLi4GHl5eXUSCwWaok4je3p68rdCFEXB5cuXsWbNGqSlpfGPum3ZsgW3bt2CyWTCzz//jO3bt2PlypV8lqa6uhozZsxAcXExysvLsW/fPtja2iIwMBAuLi546qmn8PjxY6xYsQJZWVmoqKjAsWPHsHr1aty/fx8BAQHo1asXzp07h8OHD6O2thYPHz7E2rVrcenSJdy7dw83b96EXq+HjY0NT8qKosDR0RE6nQ4hISG8I6FAEjtOSkYUYE8CCjRtYEMYXIWFhSE2NhYjR45Ejx49IMsyysvLERoaiqysLEAzVezo6IiJEyfizp07OHLkCHJyctCpUydOi2iUl5dj8+bNmDRpEvr16wdJ7VhiYmJw7tw5WFlZoaioCKtXr8bgwYNx584dKMLHHSm4bWxsYG1tjZSUFERERODhw4d48OABKisrkZCQgNLSUs6z0WhEZWUlLBYLhg4dio4dO+LNN9/ECy+8gHXr1uGFF16Ap6cnXF1dUVxcjMTERNy+fZu/1WMymVBRUQGj0Yjy8nKerCiZ6/V6FBYWIiYmBnFxccjIyOCdc3p6OnJzc5GRkcEH1NnZ2SgvL0d8fDzKyspgNptRWVkJRVFQUVEBs9mMqVOnwsfHBxMmTMCVK1cgyzJP8nl5ebh9+za3J+lEURT+gb+4uDheLzs7G/fu3cO9e/d4h0ozXlVVVaiursZLL70ENzc3vP7665g2bRqWLVuGl19+GU2aNEGjRo3q+BTtp9Lr9bCyssKYMWPg6uoKV1dXNGvWjNeDOrNx4sQJ5OXlcRuXlZXhxo0bCA0NRWFhIdLT01FYWMhfdXdxcUF1dTVOnjyJgwcP4ptvvsHt27fx+PFjXL9+HcnJyZg0aRKsrKzw4osvYsaMGVi2bBnGjBmDLl268G+kiR2YJEkIDg5GTk4OVq1ahfLyciQnJ+Pbb79F3759+f7EgoICXL58GWVlZUhKSuI2prgS4+Xw4cPYv38/jEYjbt68ifj4eLRu3RpeXl6Q1OWWR48e8QdAi8WCvLw8mNX9hcQfvbFVUVEBi8WC2tpabNy4Ef7+/lyPRJ8xBnt7e6Snp+PIkSOA2qma1UF7bm4uFi5ciNatW+Onn37ieREA/P390aNHD1y6dAkhISEoKChAVlYWli9fjkuXLsFoNGL69OmwWCxYv349iouLkZycjKlTp8LKygoLFiwA1Nm0bdu24ejRo7BYLEhKSsKlS5fQu3dvMMbg6emJSZMmAQBWrVqFCxcugKnLwgcOHOBLhhRDFs03yRRhhk4SvuFEeqe6ijD4lYWHq379+qFjx4745JNPcP/+fZjNZkRGRmLx4sVITU2Fn58fgoKCcP36dezZswfV1dX45ZdfsGvXLjz11FP8nyIiIiKwa9cu3Lt3D4WFhbhw4QIMBgN/QD569CiqqqpgZ2cHJjyMybIMZ2dnlJaW4qeffkJ1dTWXjQYtq1atgpOTE3bs2MFl0el0MBqNSEpKwooVK1BWVobs7GycP3++TmyVlpYiISEBeXl5XBfFxcUoLS1Ffn4+f4u3srISJpMJJSUlPGZbtGiBuXPnIiEhAUuXLuW2CA8Px+rVqzm+NWvWwM7ODhs3buS2En2pAf5BYDabGWOMKYrC8vLy2MKFCxkAfnh6erJPP/2U7d+/nwFgkiTxe4sXL2YWi4UxxpjFYuGHoijs5s2bbMyYMczBwYE5OTmxWbNmsbt37zKj0cgsFgtLSEhgc+fOZY6OjgwA8/f3Z19++SUzmUxMURRmNBrZ4sWLWbdu3RgAptfrWWBgIDt06BCzWCzMbDazsrIyduTIEda/f38mSRJzc3NjM2fOZHfu3OEy5eTksFWrVjFvb28GgPXr148dPXqUhYaGsn79+nF53n//fZaVlcUURWGKorAXX3yRWVtbMwDMycmJnT9/nplMJqYFRVG4zH8GxLdWV4qisPLycvbBBx8wGxsbrmdZlrmu33zzTZaamsrrU9uUlBTm6+vL/P392bRp01hVVRWvwxhjJpOJ/fLLLxyPiBMAe+qpp9iDBw9Yfn4++/TTT9lTTz3FLl++XIcOQUVFBVu3bh1r1qwZmzt3LtuyZQvr3r0757dbt25syZIlrHnz5rysf//+LDMzk6WkpLCZM2cya2tr5uzszNasWcMYY6y0tLSOT/n5+bGffvqpDp89e/ZkcXFxnCdFUVhMTAwbM2YMkySJ6+rZZ59l+/btYy+//DLH2alTJ/bOO++wjh07cnyBgYFs+fLlzNfXl9d7+umnWX5+PouNjWUvvvgik2WZtW7dmh07dox5enqyd955h8XFxXFdiDrOyclhH3zwAfP09GTLly9nO3bsqKPjV199lc2ePZvrRJIkNn/+fJaZmckuXLjARo0axezt7Vm3bt3YwYMHWWlpab3+pPWZ5cuXs6tXrzKm8mMymVh5eTn717/+xVxcXFjHjh3Z/v372cGDB1nTpk3Z0qVL2cmTJ1nnzp05L71792Znz55lxcXFbMOGDczHx4e1adOG/fjjj+zzzz9nkyZNYrt372Y5OTnMYrGwkydPsiFDhjA7OzvWu3dv9ttvv3GfE+OAzi0WCzty5Ahr2rQpkySJ+fn5sfXr17OioiKmKAqLj49nvXr14vaWZZkNGjSIxcfH1/E9xhi7dOkSe/nll1njxo2ZJEnM09OTzZ07l8XHxzNFUdiXX37JmjRpwgBwHIcPH2b+/v4MAHNwcGDp6eksLi6O+fr6MlmWmSzLbM+ePaxp06YMANPpdGzAgAGcZmFhIVu5ciW3pb+/P9u2bVud+MjMzGQLFixgAQEBbPfu3XXi22KxsPLychYcHMyaNm3KdDod69atG9u9ezcrLi7mOHbs2MF69uzJrKysmCRJbPTo0ezevXscx9mzZ9n48eOZi4sLl2XevHksPT2d81JTU8Nu377Npk6dyry8vBgA5uHhwUaMGMG2bt3KsrKy6uiTMcbzkQgWi4UNHz6cbdq0ifMoyks2plxN5WlpaTwm7ezs2MSJE1lUVBRTFIWZzWb2+PFjNn/+fObp6ckAsKZNm7J169ax3NxcxhhjGRkZ7Msvv2S9evVidnZ2DADr1q0b27t3L7t79y57+eWXmcFgYADY888/z/WjKApbu3Ytc3Nz4/H89ddfs+rqas6f2Wxmn3zyCbOzs2Nbt26tw3tWVhabN28ea926NZNlmdna2rLhw4ez0NBQxhhjFy5cYD179mSSJLG2bduyffv2sdu3b7MRI0YwSZKYvb09+/7771laWhobP348s7KyYrIss6VLl7Ls7GzO48GDB9nQoUOZra0tA8CaN2/Oxo8fz44fP87MZjNbs2YNs7GxYVu3buV2b4B/JkiM/clUSwP8jwCtmRRhCn/FihXYuHEjtm3bhgkTJvCZJknYM/FnUFRUhK+//ho3btzA9u3b4evry+/9Z/A0QAM0QAM0QAP8vwx1N1w0wP9YkDQbT8XlyKCgINjb2/PlQ6prqefbOk+CnJwcZGZm4umnn+afnaAB1V/F0QAN0AAN0AAN8P86NMxY/UOAzCTV81YODaSozKL5KxDag/AkMBqNuHz5Mq5evYr3338fdnZ2/N4ftWuABmiABmiABmiAutAwsPqHgDiwguZ1X7pnMpn4G0dM3Vwrvtb8V0AciNFG34YNlA3QAA3QAA3QAH8NGgZW/yDQDqZonxXNVolAZX82WwUVr0X9hAQNrIgWDaq0+BugARqgARqgARrg99AwsPoHAX07SHzNWRxA0aBLXB7EX1zOE91AXELEX2zfAA3QAA3QAA3QAA2b1/9RQG/70Te1aBAlDqro+zTiW4N/NnamGSoRCF8DNEADNEADNEAD/HX4/wDHz7Py2SAn8QAAAABJRU5ErkJggg==" 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    B 2√2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D √2 Correct Answer Incorrect Answer

    Solution

    Given: Triangle ABC is right-angled at B So, ∠A + ∠C = 90° ⇒ sin A = cos C and cos A = sin C Given: cosec A = 2√2 ⇒ sin A = 1 / (2√2) = √2 / 4 Then:  cos A = √(1 − sin²A) = √(1 − (2/16)) = √(14/16) = √14 / 4  sin C = cos A = √14 / 4  cos C = sin A = √2 / 4 Now compute: sin A · cos C + cos A · sin C = (√2/4)(√2/4) + (√14/4)(√14/4) = 2/16 + 14/16 = 16/16 = 1

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